BIN 1: COMMON; (8/7,6/5]; gamma0=587/1000; mass ceiling=4816311/5000000.
GAMMA 0=587/1000;1=1179/2000;2=74/125;3=1189/2000;4=597/1000;5=1199/2000;6=301/500;7=1209/2000;8=607/1000;9=90651960000/149055644567;10=1219/2000;11=153/250;12=1229/2000;13=617/1000;14=1239/2000;15=311/500;16=62952750000/101052913637;17=1249/2000;18=627/1000;19=1259/2000;20=79/125;21=1269/2000;22=637/1000;23=1279/2000;24=321/500;25=45325980000/70505721227;26=1289/2000;27=647/1000;28=70507080000/108765884567;29=1299/2000;30=163/250;31=40289760000/61777951967;32=1309/2000;33=657/1000;34=1319/2000;35=331/500;36=1329/2000;37=667/1000;38=1339/2000;39=35883067500/53404027021;40=84/125;41=1349/2000;42=677/1000;43=1359/2000;44=341/500;45=1369/2000;46=687/1000;47=1379/2000;48=173/250;49=1389/2000;50=697/1000;51=1399/2000;52=351/500;53=1409/2000;54=707/1000;55=1419/2000;56=89/125;57=1429/2000;58=717/1000;59=52880310000/73512344567;60=1439/2000;61=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,34821644,35118883;1,2,35118883,35417385;2,3,35417385,35717149;3,4,35717149,36018178;4,5,36018178,36320469;5,6,36320469,36624024;6,7,36624024,36928841;7,8,36928841,37234923;8,9,37234923,37379253;9,10,37379253,37252541;10,11,37252541,37454400;11,12,37454400,37761025;12,13,37761025,38068900;13,14,38068900,38378025;14,15,38378025,38688400;15,16,38688400,38808936;16,17,38808936,36855787;17,18,36855787,33776457;18,19,33776457,30831439;19,20,30831439,28020734;20,21,28020734,25344341;21,22,25344341,22802260;22,23,22802260,20448013;23,24,20448013,20608200;24,25,20608200,20664062;25,26,20664062,20769013;26,27,20769013,20930450;27,28,20930450,21011162;28,29,21011162,20334378;29,30,20334378,19017899;30,31,19017899,18929702;31,32,18929702,17745473;32,33,17745473,16517101;33,34,16517101,15332782;34,35,15332782,14192517;35,36,14192517,13096305;36,37,13096305,12044147;37,38,12044147,11036042;38,39,11036042,10103333;39,40,10103333,10071990;40,41,10071990,9151992;41,42,9151992,8276047;42,43,8276047,7444155;43,44,7444155,6737923;44,45,6737923,6244751;45,46,6244751,5770320;46,47,5770320,5314630;47,48,5314630,4877681;48,49,4877681,4459473;49,50,4459473,4060005;50,51,4060005,3679279;51,52,3679279,3317293;52,53,3317293,2974048;53,54,2974048,2649544;54,55,2649544,2343780;55,56,2343780,2056758;56,57,2056758,1788476;57,58,1788476,1538935;58,59,1538935,1322418;59,60,0,0;60,61,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;0,1,6;1/3,5/3,1;-2
4;0,1,8;1/3,5/3,1;-2
8;1,4,10;226107192739/56657475000,11/15,149055644567/75543300000;-4398033360829
12;0,1,6;4/3,5/3,1;-2
14;1,4,6;88621004567/22662990000,4/3,149055644567/75543300000;-11952363360829
16;0,1,8;4/3,5/3,1;-2
18;1,4,8;88621004567/22662990000,4/3,149055644567/75543300000;-11952363360829
20;0,1,10;4/15,8/3,1;-2
24;0,1,6;7/3,5/3,1;-2
25;1,4,6;1227963858551/226629900000,7/5,149055644567/75543300000;-8175198360829
26;1,4,6;132156608357/22662990000,1/3,149055644567/75543300000;-68609838360829
28;0,1,8;7/3,5/3,1;-2
29;1,4,8;1227963858551/226629900000,7/5,149055644567/75543300000;-8175198360829
30;1,4,8;132156608357/22662990000,1/3,149055644567/75543300000;-68609838360829
32;0,1,10;19/15,8/3,1;-2
33;1,4,10;1227963858551/226629900000,7/5,149055644567/75543300000;-8175198360829
34;1,4,10;1227963858551/226629900000,7/5,149055644567/75543300000;-8175198360829
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;15781483195855,31770415200013546417200000,19695608198755,5
2;1,4,6,3;15781483195855,1350868664036554641720000,32712207255729,11
3;5,4,2,3;19695608198755,2207493921031719742800000,60391532930565,5
5;1,4,8,3;15781483195855,31770415200013546417200000,19695608198755,5
6;1,4,8,3;15781483195855,1350868664036554641720000,32712207255729,11
7;7,4,2,3;19695608198755,2207493921031719742800000,60391532930565,5
9;1,4,10,3;15781483195855,31770415200013546417200000,19695608198755,5
10;1,4,10,3;15781483195855,31770415200013546417200000,19695608198755,5
11;9,4,2,3;32712207255729,905564213089971974280000,60391532930565,27
13;1,4,6,3;15781483195855,14650044675343546417200000,299767759162695,5
15;5,4,2,3;299767759162695,9044548130799733582800000,97285637391710,5
17;1,4,8,3;15781483195855,14650044675343546417200000,299767759162695,5
19;7,4,2,3;299767759162695,9044548130799733582800000,97285637391710,5
21;1,4,10,3;15781483195855,14650044675343546417200000,299767759162695,5
22;1,4,10,3;15781483195855,14650044675343546417200000,299767759162695,5
23;1,4,2,3;15781483195855,2853395087445000000000000,97285637391710,25
27;1,4,2,3;15781483195855,713348771861250000000000,90698072773460,25
31;1,4,2,3;15781483195855,713348771861250000000000,90698072773460,25
35;1,4,2,3;15781483195855,713348771861250000000000,90698072773460,25
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;2;V;3,1
6;2;V;6,3
7;2;E;4,1
8;2;E;4,6
9;2;E;4,3
10;3;V;2,3
11;3;E;4,2
12;3;E;4,3
13;9;V;3,1
14;9;E;4,1
15;9;E;4,3
16;11;V;2,3
17;11;E;4,2
18;11;E;4,3
19;13;V;3,1
20;13;V;6,3
21;13;E;4,1
22;13;E;4,6
23;13;E;4,3
24;15;V;2,3
25;15;E;4,2
26;15;E;4,3
27;21;V;3,1
28;21;E;4,1
29;21;E;4,3
30;23;V;3,1
31;23;V;2,3
32;23;E;4,1
33;23;E;4,2
34;23;E;4,3
35;27;V;3,1
36;27;V;2,3
37;27;E;4,1
38;27;E;4,2
39;27;E;4,3
40;35;V;3,1
41;35;V;2,3
42;35;E;4,1
43;35;E;4,2
44;35;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/9;V/6,3/1/0/25;E/4,1/2/0/9;E/4,6/3/0/25;E/4,3/4/9/25
2:V/3,1/5/0/9;V/6,3/6/0/16;E/4,1/7/0/9;E/4,6/8/0/16;E/4,3/9/9/16
3:V/3,5/1/0/25;V/2,3/10/0/31;E/4,5/3/0/25;E/4,2/11/0/31;E/4,3/12/25/31
5:V/3,1/0/0/9;V/8,3/1/0/25;E/4,1/2/0/9;E/4,8/3/0/25;E/4,3/4/9/25
6:V/3,1/5/0/9;V/8,3/6/0/16;E/4,1/7/0/9;E/4,8/8/0/16;E/4,3/9/9/16
7:V/3,7/1/0/25;V/2,3/10/0/31;E/4,7/3/0/25;E/4,2/11/0/31;E/4,3/12/25/31
9:V/3,1/13/0/9;V/10,3/1/0/25;E/4,1/14/0/9;E/4,10/3/0/25;E/4,3/15/9/25
10:V/3,1/13/0/9;V/10,3/1/0/25;E/4,1/14/0/9;E/4,10/3/0/25;E/4,3/15/9/25
11:V/3,9/6/0/16;V/2,3/16/0/31;E/4,9/8/0/16;E/4,2/17/0/31;E/4,3/18/16/31
13:V/3,1/19/0/9;V/6,3/20/0/28;E/4,1/21/0/9;E/4,6/22/0/28;E/4,3/23/9/28
15:V/3,5/20/0/28;V/2,3/24/0/59;E/4,5/22/0/28;E/4,2/25/0/59;E/4,3/26/28/59
17:V/3,1/19/0/9;V/8,3/20/0/28;E/4,1/21/0/9;E/4,8/22/0/28;E/4,3/23/9/28
19:V/3,7/20/0/28;V/2,3/24/0/59;E/4,7/22/0/28;E/4,2/25/0/59;E/4,3/26/28/59
21:V/3,1/27/0/9;V/10,3/20/0/28;E/4,1/28/0/9;E/4,10/22/0/28;E/4,3/29/9/28
22:V/3,1/27/0/9;V/10,3/20/0/28;E/4,1/28/0/9;E/4,10/22/0/28;E/4,3/29/9/28
23:V/3,1/30/0/9;V/2,3/31/0/59;E/4,1/32/0/9;E/4,2/33/0/59;E/4,3/34/9/59
27:V/3,1/35/0/9;V/2,3/36/0/39;E/4,1/37/0/9;E/4,2/38/0/39;E/4,3/39/9/39
31:V/3,1/35/0/9;V/2,3/36/0/39;E/4,1/37/0/9;E/4,2/38/0/39;E/4,3/39/9/39
35:V/3,1/40/0/9;V/2,3/41/0/39;E/4,1/42/0/9;E/4,2/43/0/39;E/4,3/44/9/39
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;C;0,4;8705411/25000000;2,34,56,59,0,183;4,3482,5670,5970,0,1850200
0;C;4,9;18009089/50000000;2,36,57,60,0,351;2,36,58,61,0,115
1;C;0,12;8705411/25000000;2,34,0,59,0,3319;2,34,0,62,0,2956
1;C;12,18;33776457/100000000;2,33,0,62,0,2756;2,33,0,63,0,2631
1;C;18,21;25344341/100000000;2,25,0,63,0,1031;2,25,0,64,0,904
1;C;21,23;20448013/100000000;4,2044,0,6345,0,620975;8,20448013,0,63950000,0,100000000
1;L;23,24;20448013/100000000,103041/500000;8,20448013,0,63950000,0,100000000;6,206082,0,642000,0,0
1;L;24,25;103041/500000,10332031/50000000;6,206082,0,642000,0,0;10,2066406200,0,6428695319,0,495467488239
2;C;0,4;8705411/25000000;2,34,59,57,0,70;4,3482,5970,5732,0,1143276
2;C;4,9;18009089/50000000;2,36,60,58,0,236;2,36,61,58,0,115
3;C;0,12;8705411/25000000;2,34,0,59,0,3319;2,34,0,62,0,2956
3;C;12,18;33776457/100000000;2,33,0,62,0,2756;2,33,0,63,0,2631
3;C;18,21;25344341/100000000;2,25,0,63,0,1031;2,25,0,64,0,904
3;C;21,23;20448013/100000000;4,2044,0,6345,0,620975;8,20448013,0,63950000,0,100000000
3;L;23,24;20448013/100000000,103041/500000;8,20448013,0,63950000,0,100000000;6,206082,0,642000,0,0
3;L;24,25;103041/500000,10332031/50000000;6,206082,0,642000,0,0;10,2066406200,0,6428695319,0,495467488239
4;C;9,17;36855787/100000000;2,36,61,58,0,115;2,36,63,4,0,3215
4;C;17,21;25344341/100000000;2,25,63,4,0,1015;2,25,64,0,0,904
4;C;21,23;20448013/100000000;4,2044,6345,0,0,620975;8,20448013,63950000,0,0,100000000
4;L;23,24;20448013/100000000,103041/500000;8,20448013,63950000,0,0,100000000;6,206082,642000,0,0,0
4;L;24,25;103041/500000,10332031/50000000;6,206082,642000,0,0,0;10,2066406200,6428695319,0,0,495467488239
5;L;0,1;8705411/25000000,35118883/100000000;8,34821644,0,8541006,58700000,16507964;8,35118883,0,8577381,58950000,135180839
5;L;1,2;35118883/100000000,7083477/20000000;8,35118883,0,8577381,58950000,135180839;8,35417385,0,8613757,59200000,190344951
5;L;2,3;7083477/20000000,35717149/100000000;8,35417385,0,8613757,59200000,190344951;10,3571714900,0,865013228,5945000000,115385020016
5;L;3,4;35717149/100000000,18009089/50000000;10,3571714900,0,865013228,5945000000,115385020016;8,36018178,0,8686508,59700000,178765936
5;L;4,5;18009089/50000000,36320469/100000000;8,36018178,0,8686508,59700000,178765936;8,36320469,0,8722884,59950000,94722544
5;L;5,6;36320469/100000000,4578003/12500000;8,36320469,0,8722884,59950000,94722544;8,36624024,0,8759260,60200000,164252400
5;L;6,7;4578003/12500000,36928841/100000000;8,36624024,0,8759260,60200000,164252400;8,36928841,0,8795635,60450000,4946775
5;L;7,8;36928841/100000000,37234923/100000000;8,36928841,0,8795635,60450000,4946775;8,37234923,0,8832011,60700000,181695879
5;L;8,9;37234923/100000000,37379253/100000000;8,37234923,0,8832011,60700000,181695879;10,3737925300,0,884911138,6081752910,1361256608756
6;C;0,1;8705411/25000000;4,3482,0,0,5870,726200;4,3482,0,0,5895,137950
6;C;1,2;35118883/100000000;2,35,0,0,59,38;4,3511,0,0,5920,127200
6;C;2,3;7083477/20000000;4,3541,0,0,5920,727200;4,3541,0,0,5945,133950
6;C;3,4;35717149/100000000;4,3571,0,0,5945,733950;4,3571,0,0,5970,138200
6;C;4,5;18009089/50000000;2,36,0,0,60,0;2,36,0,0,60,0
6;C;5,6;36320469/100000000;2,36,0,0,60,0;4,3632,0,0,6020,159200
6;C;6,7;4578003/12500000;4,3662,0,0,6020,759200;4,3662,0,0,6045,155950
6;C;7,8;36928841/100000000;4,3692,0,0,6045,755950;4,3692,0,0,6070,150200
6;C;8,10;37234923/100000000;4,3723,0,0,6070,770200;4,3723,0,0,6095,161950
6;L;10,11;37252541/100000000,23409/62500;4,3725,0,0,6095,201950;6,374544,0,0,612000,0
6;L;11,12;23409/62500,1510441/4000000;6,374544,0,0,612000,0;8,37761025,0,0,61450000,0
6;L;12,13;1510441/4000000,380689/1000000;8,37761025,0,0,61450000,0;6,380689,0,0,617000,0
6;L;13,14;380689/1000000,1535121/4000000;6,380689,0,0,617000,0;8,38378025,0,0,61950000,0
6;L;14,15;1535121/4000000,96721/250000;8,38378025,0,0,61950000,0;6,386884,0,0,622000,0
6;L;15,16;96721/250000,4851117/12500000;6,386884,0,0,622000,0;10,3880893600,0,0,6229681831,569016974878
7;L;0,1;8705411/25000000,35118883/100000000;4,3482,0,801,5870,84599;4,3511,0,811,5895,60229
7;L;1,2;35118883/100000000,7083477/20000000;4,3511,0,811,5895,60229;4,3541,0,821,5920,53159
7;L;2,3;7083477/20000000,35717149/100000000;4,3541,0,821,5920,53159;4,3571,0,831,5945,43389
7;L;3,4;35717149/100000000,18009089/50000000;4,3571,0,831,5945,43389;4,3601,0,841,5970,30919
7;L;4,5;18009089/50000000,36320469/100000000;4,3601,0,841,5970,30919;4,3632,0,851,5995,35749
7;L;5,6;36320469/100000000,4578003/12500000;4,3632,0,851,5995,35749;4,3662,0,861,6020,17879
7;L;6,7;4578003/12500000,36928841/100000000;4,3662,0,861,6020,17879;6,369288,0,87033,604500,160756911
7;L;7,8;36928841/100000000,37234923/100000000;6,369288,0,87033,604500,160756911;6,372349,0,88025,607000,51599375
7;L;8,9;37234923/100000000,37379253/100000000;6,372349,0,88025,607000,51599375;10,3737925300,0,884911138,6081752910,1361256608756
8;C;0,1;8705411/25000000;4,3482,0,0,5870,726200;4,3482,0,0,5895,137950
8;C;1,2;35118883/100000000;2,35,0,0,59,38;4,3511,0,0,5920,127200
8;C;2,3;7083477/20000000;4,3541,0,0,5920,727200;4,3541,0,0,5945,133950
8;C;3,4;35717149/100000000;4,3571,0,0,5945,733950;4,3571,0,0,5970,138200
8;C;4,5;18009089/50000000;2,36,0,0,60,0;2,36,0,0,60,0
8;C;5,6;36320469/100000000;2,36,0,0,60,0;4,3632,0,0,6020,159200
8;C;6,7;4578003/12500000;4,3662,0,0,6020,759200;4,3662,0,0,6045,155950
8;C;7,8;36928841/100000000;4,3692,0,0,6045,755950;4,3692,0,0,6070,150200
8;C;8,10;37234923/100000000;4,3723,0,0,6070,770200;4,3723,0,0,6095,161950
8;L;10,11;37252541/100000000,23409/62500;4,3725,0,0,6095,201950;6,374544,0,0,612000,0
8;L;11,12;23409/62500,1510441/4000000;6,374544,0,0,612000,0;8,37761025,0,0,61450000,0
8;L;12,13;1510441/4000000,380689/1000000;8,37761025,0,0,61450000,0;6,380689,0,0,617000,0
8;L;13,14;380689/1000000,1535121/4000000;6,380689,0,0,617000,0;8,38378025,0,0,61950000,0
8;L;14,15;1535121/4000000,96721/250000;8,38378025,0,0,61950000,0;6,386884,0,0,622000,0
8;L;15,16;96721/250000,4851117/12500000;6,386884,0,0,622000,0;10,3880893600,0,0,6229681831,569016974878
9;L;9,10;37379253/100000000,37252541/100000000;10,3737925300,0,884911138,6081752910,1361256608756;8,37252541,0,4550057,60950000,181296751
9;L;10,11;37252541/100000000,23409/62500;8,37252541,0,4550057,60950000,181296751;6,374544,0,0,612000,0
9;L;11,12;23409/62500,1510441/4000000;6,374544,0,0,612000,0;8,37761025,0,0,61450000,0
9;L;12,13;1510441/4000000,380689/1000000;8,37761025,0,0,61450000,0;6,380689,0,0,617000,0
9;L;13,14;380689/1000000,1535121/4000000;6,380689,0,0,617000,0;8,38378025,0,0,61950000,0
9;L;14,15;1535121/4000000,96721/250000;8,38378025,0,0,61950000,0;6,386884,0,0,622000,0
9;L;15,16;96721/250000,4851117/12500000;6,386884,0,0,622000,0;10,3880893600,0,0,6229681831,569016974878
10;C;0,31;9464851/50000000;2,18,0,39,0,2079;2,18,0,44,0,1664
11;C;0,31;9464851/50000000;2,18,0,45,0,1575;2,18,0,44,0,1664
12;C;25,28;10332031/50000000;10,2066406200,0,6428695319,0,495467488239;2,20,0,53,0,1191
12;C;28,31;9464851/50000000;2,18,0,53,0,791;2,18,0,44,0,1664
13;C;0,9;8705411/25000000;2,34,0,59,34,1007;2,34,0,61,35,629
14;C;0,9;8705411/25000000;2,34,0,59,34,1007;2,34,0,61,35,629
15;C;9,17;36855787/100000000;2,36,61,0,35,1029;2,36,63,0,10,3031
15;C;17,21;25344341/100000000;2,25,63,0,10,831;2,25,64,0,0,904
15;C;21,23;20448013/100000000;4,2044,6345,0,0,620975;8,20448013,63950000,0,0,100000000
15;L;23,24;20448013/100000000,103041/500000;8,20448013,63950000,0,0,100000000;6,206082,642000,0,0,0
15;L;24,25;103041/500000,10332031/50000000;6,206082,642000,0,0,0;10,2066406200,6428695319,0,0,495467488239
16;C;0,31;9464851/50000000;2,18,0,0,29,1918;2,18,0,0,33,1422
17;C;0,31;9464851/50000000;2,18,0,0,30,1800;2,18,0,0,33,1422
18;L;16,17;4851117/12500000,36855787/100000000;10,3880893600,0,0,6229681831,569016974878;8,36855787,0,0,60708967,51585822
18;L;17,18;36855787/100000000,33776457/100000000;8,36855787,0,0,60708967,51585822;8,33776457,0,0,58117516,67979488
18;L;18,19;33776457/100000000,30831439/100000000;8,33776457,0,0,58117516,67979488;8,30831439,0,0,55526065,11231550
18;L;19,20;30831439/100000000,14010367/50000000;8,30831439,0,0,55526065,11231550;8,28020734,0,0,52934614,81342008
18;L;20,21;14010367/50000000,25344341/100000000;8,28020734,0,0,52934614,81342008;8,25344341,0,0,50343163,78310862
18;L;21,22;25344341/100000000,1140113/5000000;8,25344341,0,0,50343163,78310862;8,22802260,0,0,47751712,2138112
18;L;22,23;1140113/5000000,20448013/100000000;8,22802260,0,0,47751712,2138112;4,2044,0,0,4517,73422
18;C;23,27;20448013/100000000;4,2044,0,0,4517,73422;2,20,0,0,38,1112
18;C;27,31;9464851/50000000;2,18,0,0,38,712;2,18,0,0,33,1422
19;C;0,9;8705411/25000000;2,34,11,59,0,3198;2,34,11,61,0,2958
20;C;0,14;8705411/25000000;2,34,0,59,0,3319;2,34,0,62,0,2956
20;C;14,21;25344341/100000000;2,25,0,62,0,1156;2,25,0,64,0,904
20;C;21,22;1140113/5000000;2,22,0,64,0,304;2,22,0,64,0,304
20;C;22,23;20448013/100000000;4,2044,0,6370,0,303100;8,20448013,0,63950000,0,100000000
20;L;23,24;20448013/100000000,103041/500000;8,20448013,0,63950000,0,100000000;6,206082,0,642000,0,0
20;L;24,25;103041/500000,10332031/50000000;6,206082,0,642000,0,0;10,2066406200,0,6428695319,0,495467488239
20;L;25,26;10332031/50000000,20769013/100000000;10,2066406200,0,6428695319,0,495467488239;8,20769013,0,64450000,0,100000000
20;L;26,27;20769013/100000000,418609/2000000;8,20769013,0,64450000,0,100000000;8,20930450,0,64700000,0,0
20;L;27,28;418609/2000000,10505581/50000000;8,20930450,0,64700000,0,0;8,21011162,0,64824628,0,4661616
21;C;0,9;8705411/25000000;2,34,10,59,0,3219;2,34,11,61,0,2958
22;C;0,14;8705411/25000000;2,34,0,59,0,3319;2,34,0,62,0,2956
22;C;14,21;25344341/100000000;2,25,0,62,0,1156;2,25,0,64,0,904
22;C;21,22;1140113/5000000;2,22,0,64,0,304;2,22,0,64,0,304
22;C;22,23;20448013/100000000;4,2044,0,6370,0,303100;8,20448013,0,63950000,0,100000000
22;L;23,24;20448013/100000000,103041/500000;8,20448013,0,63950000,0,100000000;6,206082,0,642000,0,0
22;L;24,25;103041/500000,10332031/50000000;6,206082,0,642000,0,0;10,2066406200,0,6428695319,0,495467488239
22;L;25,26;10332031/50000000,20769013/100000000;10,2066406200,0,6428695319,0,495467488239;8,20769013,0,64450000,0,100000000
22;L;26,27;20769013/100000000,418609/2000000;8,20769013,0,64450000,0,100000000;8,20930450,0,64700000,0,0
22;L;27,28;418609/2000000,10505581/50000000;8,20930450,0,64700000,0,0;8,21011162,0,64824628,0,4661616
23;C;9,18;33776457/100000000;2,33,61,11,0,2758;2,33,63,0,0,2631
23;C;18,23;20448013/100000000;2,20,63,0,0,31;8,20448013,63950000,0,0,100000000
23;L;23,24;20448013/100000000,103041/500000;8,20448013,63950000,0,0,100000000;6,206082,642000,0,0,0
23;L;24,25;103041/500000,10332031/50000000;6,206082,642000,0,0,0;10,2066406200,6428695319,0,0,495467488239
23;L;25,26;10332031/50000000,20769013/100000000;10,2066406200,6428695319,0,0,495467488239;8,20769013,64450000,0,0,100000000
23;L;26,27;20769013/100000000,418609/2000000;8,20769013,64450000,0,0,100000000;8,20930450,64700000,0,0,0
23;L;27,28;418609/2000000,10505581/50000000;8,20930450,64700000,0,0,0;8,21011162,64824628,0,0,4661616
24;C;0,59;661209/50000000;2,1,0,5,0,175;2,1,0,6,0,164
25;C;0,59;661209/50000000;2,1,0,9,0,119;2,1,0,6,0,164
26;L;28,29;10505581/50000000,10167189/50000000;8,21011162,0,64824628,0,4661616;10,2033437800,0,6377205905,0,845233130975
26;L;29,30;10167189/50000000,19017899/100000000;10,2033437800,0,6377205905,0,845233130975;8,19017899,0,61673169,0,25497439
26;L;30,31;19017899/100000000,9464851/50000000;8,19017899,0,61673169,0,25497439;8,18929702,0,61529995,0,115299975
26;L;31,32;9464851/50000000,17745473/100000000;8,18929702,0,61529995,0,115299975;8,17745473,0,59574278,0,778716
26;L;32,33;17745473/100000000,16517101/100000000;8,17745473,0,59574278,0,778716;10,1651710100,0,5747538738,0,455189367356
26;L;33,34;16517101/100000000,7666391/50000000;10,1651710100,0,5747538738,0,455189367356;12,153327820000,0,553764968183,0,13280997678511
26;L;34,35;7666391/50000000,14192517/100000000;12,153327820000,0,553764968183,0,13280997678511;10,1419251700,0,5327760627,0,701388566871
26;L;35,36;14192517/100000000,2619261/20000000;10,1419251700,0,5327760627,0,701388566871;8,13096305,0,51178716,0,28591344
26;L;36,37;2619261/20000000,12044147/100000000;8,13096305,0,51178716,0,28591344;8,12044147,0,49079826,0,79809724
26;L;37,38;12044147/100000000,5518021/50000000;8,12044147,0,49079826,0,79809724;8,11036042,0,46980935,0,146525775
26;L;38,39;5518021/50000000,10103333/100000000;8,11036042,0,46980935,0,146525775;8,10103333,0,44951824,0,119073024
26;L;39,40;10103333/100000000,1007199/10000000;8,10103333,0,44951824,0,119073024;8,10071990,0,44882045,0,36617975
26;L;40,41;1007199/10000000,1143999/12500000;8,10071990,0,44882045,0,36617975;8,9151992,0,42783154,0,133812284
26;L;41,42;1143999/12500000,8276047/100000000;8,9151992,0,42783154,0,133812284;8,8276047,0,40684263,0,144146831
26;L;42,43;8276047/100000000,1488831/20000000;8,8276047,0,40684263,0,144146831;10,744415500,0,3858537238,0,382967331356
26;L;43,44;1488831/20000000,6737923/100000000;10,744415500,0,3858537238,0,382967331356;4,673,0,3649,0,144799
26;L;44,45;6737923/100000000,6244751/100000000;4,673,0,3649,0,144799;4,624,0,3439,0,653279
26;L;45,46;6244751/100000000,72129/1250000;4,624,0,3439,0,653279;4,577,0,3229,0,1113559
26;C;46,47;531463/10000000;4,531,0,3229,0,193559;2,5,0,31,0,39
26;C;47,48;4877681/100000000;4,487,0,3019,0,625639;4,487,0,2810,0,1843900
26;C;48,49;4459473/100000000;4,445,0,2810,0,1003900;2,4,0,26,0,124
26;C;49,51;3679279/100000000;4,367,0,2600,0,580000;2,3,0,22,0,116
26;C;51,53;92939/3125000;4,297,0,2180,0,1187600;2,2,0,18,0,76
26;C;53,55;117189/5000000;2,2,0,18,0,76;2,2,0,14,0,204
26;C;55,59;661209/50000000;2,1,0,14,0,4;2,1,0,6,0,164
27;C;0,9;8705411/25000000;2,34,0,59,11,3077;2,34,0,61,11,2837
28;C;0,9;8705411/25000000;2,34,0,59,10,3119;2,34,0,61,11,2837
29;C;9,18;33776457/100000000;2,33,61,0,11,2637;2,33,63,0,0,2631
29;C;18,23;20448013/100000000;2,20,63,0,0,31;8,20448013,63950000,0,0,100000000
29;L;23,24;20448013/100000000,103041/500000;8,20448013,63950000,0,0,100000000;6,206082,642000,0,0,0
29;L;24,25;103041/500000,10332031/50000000;6,206082,642000,0,0,0;10,2066406200,6428695319,0,0,495467488239
29;L;25,26;10332031/50000000,20769013/100000000;10,2066406200,6428695319,0,0,495467488239;8,20769013,64450000,0,0,100000000
29;L;26,27;20769013/100000000,418609/2000000;8,20769013,64450000,0,0,100000000;8,20930450,64700000,0,0,0
29;L;27,28;418609/2000000,10505581/50000000;8,20930450,64700000,0,0,0;8,21011162,64824628,0,0,4661616
30;C;0,9;8705411/25000000;2,34,0,0,53,1182;2,34,0,0,55,750
31;C;0,59;661209/50000000;2,1,0,0,10,0;8,1322418,0,0,11499641,113742238
32;C;0,9;8705411/25000000;2,34,0,0,54,968;2,34,0,0,55,750
33;C;0,59;661209/50000000;2,1,0,0,7,102;8,1322418,0,0,11499641,113742238
34;C;9,15;37252541/100000000;2,37,0,0,55,1350;2,37,0,0,50,2400
34;C;15,21;25344341/100000000;2,25,0,0,50,0;2,25,0,0,45,950
34;C;21,27;20448013/100000000;4,2044,0,0,4435,1541550;2,20,0,0,40,800
34;C;27,30;19017899/100000000;2,19,0,0,40,600;2,19,0,0,38,912
34;C;30,34;7666391/50000000;2,15,0,0,38,112;2,15,0,0,35,550
34;C;34,37;12044147/100000000;4,1204,0,0,3467,39822;2,12,0,0,32,352
34;C;37,38;5518021/50000000;2,11,0,0,32,152;2,11,0,0,31,278
34;C;38,40;1007199/10000000;2,10,0,0,31,78;2,10,0,0,30,200
34;C;40,41;1143999/12500000;2,9,0,0,30,0;2,9,0,0,29,118
34;L;41,42;1143999/12500000,8276047/100000000;2,9,0,0,29,118;2,8,0,0,28,32
34;L;42,43;8276047/100000000,1488831/20000000;2,8,0,0,28,32;4,744,0,0,2693,375502
34;L;43,44;1488831/20000000,6737923/100000000;4,744,0,0,2693,375502;8,6737923,0,0,25957509,53029838
34;L;44,45;6737923/100000000,6244751/100000000;8,6737923,0,0,25957509,53029838;10,624475100,0,0,2498949924,554680788448
34;L;45,46;6244751/100000000,72129/1250000;10,624475100,0,0,2498949924,554680788448;10,577032000,0,0,2402149014,229077655608
34;L;46,47;72129/1250000,531463/10000000;10,577032000,0,0,2402149014,229077655608;10,531463000,0,0,2305348103,247988602782
34;L;47,48;531463/10000000,4877681/100000000;10,531463000,0,0,2305348103,247988602782;8,4877681,0,0,22085472,53074432
34;L;48,49;4877681/100000000,4459473/100000000;8,4877681,0,0,22085472,53074432;8,4459473,0,0,21117463,112887262
34;L;49,50;4459473/100000000,812001/20000000;8,4459473,0,0,21117463,112887262;8,4060005,0,0,20149454,7003768
34;L;50,51;812001/20000000,3679279/100000000;8,4060005,0,0,20149454,7003768;8,3679279,0,0,19181445,135423950
34;L;51,52;3679279/100000000,3317293/100000000;8,3679279,0,0,19181445,135423950;8,3317293,0,0,18213436,98147808
34;L;52,53;3317293/100000000,92939/3125000;8,3317293,0,0,18213436,98147808;8,2974048,0,0,17245427,95175342
34;L;53,54;92939/3125000,331193/12500000;8,2974048,0,0,17245427,95175342;8,2649544,0,0,16277418,126506552
34;L;54,55;331193/12500000,117189/5000000;8,2649544,0,0,16277418,126506552;10,234378000,0,0,1530940816,435810508288
34;L;55,56;117189/5000000,1028379/50000000;10,234378000,0,0,1530940816,435810508288;8,2056758,0,0,14341400,92080000
34;L;56,57;1028379/50000000,447119/25000000;8,2056758,0,0,14341400,92080000;8,1788476,0,0,13373390,79815800
34;L;57,58;447119/25000000,307787/20000000;8,1788476,0,0,13373390,79815800;8,1538935,0,0,12405381,44489678
34;L;58,59;307787/20000000,661209/50000000;8,1538935,0,0,12405381,44489678;8,1322418,0,0,11499641,113742238
35;C;0,9;8705411/25000000;2,34,0,50,0,4300;2,34,0,52,0,4096
36;C;0,39;10103333/100000000;2,10,0,4,0,1984;2,10,0,4,0,1984
37;C;0,9;8705411/25000000;2,34,0,52,0,4096;2,34,0,52,0,4096
38;C;0,39;10103333/100000000;2,10,0,7,0,1951;2,10,0,4,0,1984
39;C;9,24;20448013/100000000;2,20,0,52,0,1296;2,20,0,27,0,3271
39;C;24,39;10103333/100000000;2,10,0,27,0,1271;2,10,0,4,0,1984
40;C;0,9;8705411/25000000;2,34,0,0,30,5000;2,34,0,0,31,4878
41;C;0,39;10103333/100000000;2,10,0,0,8,1872;2,10,0,0,9,1838
42;C;0,9;8705411/25000000;2,34,0,0,30,5000;2,34,0,0,31,4878
43;C;0,39;10103333/100000000;2,10,0,0,6,1928;2,10,0,0,9,1838
44;C;9,39;10103333/100000000;2,10,0,0,31,78;2,10,0,0,9,1838
MASS SLACK NUMERATOR 5126896090791933157181477750770107960335499144295029272452565583638909567742997
BIN 2: LOW; (1,29/28]; gamma0=352/625; mass ceiling=97871471/100000000.
GAMMA 0=352/625;1=5657/10000;2=2841/5000;3=5707/10000;4=1433/2500;5=5757/10000;6=11177325000/19365092081;7=3982725000/6896850281;8=2891/5000;9=5807/10000;10=729/1250;11=5857/10000;12=2941/5000;13=5907/10000;14=1483/2500;15=5957/10000;16=2991/5000;17=6007/10000;18=377/625;19=6057/10000;20=3041/5000;21=6107/10000;22=1533/2500;23=6157/10000;24=3091/5000;25=6207/10000;26=779/1250;27=6257/10000;28=3141/5000;29=6307/10000;30=1583/2500;31=6357/10000;32=4239675000/6664861003;33=3191/5000;34=6407/10000;35=402/625;36=6457/10000;37=3241/5000;38=6507/10000;39=1633/2500;40=6557/10000;41=3291/5000;42=6607/10000;43=829/1250;44=6657/10000;45=3341/5000;46=6707/10000;47=1683/2500;48=5781375000/8573192081;49=6757/10000;50=3391/5000;51=6807/10000;52=427/625;53=6857/10000;54=3441/5000;55=6907/10000;56=1733/2500;57=6957/10000;58=3491/5000;59=7007/10000;60=879/1250;61=7057/10000;62=3541/5000;63=7107/10000;64=1783/2500;65=7157/10000;66=3591/5000;67=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,41026974,41392013;1,2,41392013,41758669;2,3,41758669,42126942;3,4,42126942,42496832;4,5,42496832,42868338;5,6,42868338,43090429;6,7,43090429,33503327;7,8,33380142,33450067;8,9,33450067,33721249;9,10,33721249,34012224;10,11,34012224,34304449;11,12,34304449,34597924;12,13,34597924,34892649;13,14,34892649,35188624;14,15,35188624,35485849;15,16,35485849,35784324;16,17,35784324,36084049;17,18,36084049,36385024;18,19,36385024,36687249;19,20,36687249,36990724;20,21,36990724,37295449;21,22,37295449,37601424;22,23,37601424,37908649;23,24,37908649,38217124;24,25,38217124,38526849;25,26,38526849,38837824;26,27,38837824,39150049;27,28,39150049,39463524;28,29,39463524,39778249;29,30,39778249,40094224;30,31,40094224,40411449;31,32,40411449,40465317;32,33,40465317,40729924;33,34,40729924,41049649;34,35,41049649,41370624;35,36,41370624,41692849;36,37,41692849,42016324;37,38,42016324,42341049;38,39,42341049,42667024;39,40,42667024,42994249;40,41,42994249,43322724;41,42,43322724,43652449;42,43,43652449,43983424;43,44,43983424,44315649;44,45,44315649,44649124;45,46,44649124,44983849;46,47,44983849,45319824;47,48,45319824,45475468;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0;65,66,0,0;66,67,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,2,3;148151248427,1516472729296875000000,161468543481,1568
1;1,4,2,3;148151248427,1137354546972656250000,521146292177,392
2;1,4,2,3;148151248427,284338636743164062500,24163188791,98
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;V;2,3
2;0;E;4,1
3;0;E;4,2
4;0;E;4,3
5;1;V;3,1
6;1;V;2,3
7;1;E;4,1
8;1;E;4,2
9;1;E;4,3
10;2;V;3,1
11;2;V;2,3
12;2;E;4,1
13;2;E;4,2
14;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/6;V/2,3/1/0/7;E/4,1/2/0/6;E/4,2/3/0/7;E/4,3/4/6/7
1:V/3,1/5/0/6;V/2,3/6/0/48;E/4,1/7/0/6;E/4,2/8/0/48;E/4,3/9/6/48
2:V/3,1/10/0/6;V/2,3/11/0/32;E/4,1/12/0/6;E/4,2/13/0/32;E/4,3/14/6/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;20513487/50000000,41392013/100000000;8,41026974,20068046,38194023,56320000,56320000,136817355;10,4139201300,2015712644,3836356322,5657000000,5657000000,707469161580
0;L;1,2;41392013/100000000,41758669/100000000;10,4139201300,2015712644,3836356322,5657000000,5657000000,707469161580;10,4175866900,2024620690,3853310345,5682000000,5682000000,446739904875
0;L;2,3;41758669/100000000,21063471/50000000;10,4175866900,2024620690,3853310345,5682000000,5682000000,446739904875;8,42126942,20335288,38702644,57070000,57070000,9366320
0;L;3,4;21063471/50000000,664013/1562500;8,42126942,20335288,38702644,57070000,57070000,9366320;8,42496832,20424368,38872184,57320000,57320000,102870720
0;L;4,5;664013/1562500,21434169/50000000;8,42496832,20424368,38872184,57320000,57320000,102870720;10,4286833800,2051344828,3904172414,5757000000,5757000000,158399063020
0;L;5,6;21434169/50000000,43090429/100000000;10,4286833800,2051344828,3904172414,5757000000,5757000000,158399063020;10,4309042900,2056651724,3914272635,5771893546,5771893546,1212345076367
1;C;0,7;33503327/100000000;2,33,0,6,57,57,66;10,3350332700,0,558842058,5774701259,5774701259,292817954474
2;L;0,1;20513487/50000000,41392013/100000000;4,4102,1917,3775,5632,5632,675638;4,4139,1942,3800,5657,5657,565338
2;L;1,2;41392013/100000000,41758669/100000000;4,4139,1942,3800,5657,5657,565338;4,4175,1967,3825,5682,5682,430038
2;L;2,3;41758669/100000000,21063471/50000000;4,4175,1967,3825,5682,5682,430038;4,4212,1992,3850,5707,5707,309738
2;L;3,4;21063471/50000000,664013/1562500;4,4212,1992,3850,5707,5707,309738;4,4249,2017,3875,5732,5732,184438
2;L;4,5;664013/1562500,21434169/50000000;4,4249,2017,3875,5732,5732,184438;4,4286,2042,3900,5757,5757,54138
2;L;5,6;21434169/50000000,43090429/100000000;4,4286,2042,3900,5757,5757,54138;10,4309042900,2056651724,3914272635,5771893546,5771893546,1212345076367
3;C;0,7;33503327/100000000;2,33,0,5,57,57,77;10,3350332700,0,558842058,5774701259,5774701259,292817954474
4;L;6,7;43090429/100000000,33503327/100000000;10,4309042900,5771893546,5771893546,3914272635,2056651724,1212345076367;10,3350332700,5774701259,5774701259,558842058,0,292817954474
5;C;0,6;20513487/50000000;2,41,2,2,57,57,1694;2,41,2,2,58,58,1464
6;C;0,6;20513487/50000000;2,41,0,0,57,57,1702;2,41,0,0,58,58,1472
6;C;6,7;33503327/100000000;4,3350,0,0,5772,5772,368032;4,3350,0,0,5775,5775,298750
6;L;7,8;16690071/50000000,33450067/100000000;4,3338,0,0,5775,5775,58750;4,3345,0,0,5782,5782,36952
6;L;8,9;33450067/100000000,33721249/100000000;4,3345,0,0,5782,5782,36952;8,33721249,0,0,58070000,58070000,0
6;L;9,10;33721249/100000000,531441/1562500;8,33721249,0,0,58070000,58070000,0;8,34012224,0,0,58320000,58320000,0
6;L;10,11;531441/1562500,34304449/100000000;8,34012224,0,0,58320000,58320000,0;8,34304449,0,0,58570000,58570000,0
6;L;11,12;34304449/100000000,8649481/25000000;8,34304449,0,0,58570000,58570000,0;8,34597924,0,0,58820000,58820000,0
6;L;12,13;8649481/25000000,34892649/100000000;8,34597924,0,0,58820000,58820000,0;8,34892649,0,0,59070000,59070000,0
6;L;13,14;34892649/100000000,2199289/6250000;8,34892649,0,0,59070000,59070000,0;8,35188624,0,0,59320000,59320000,0
6;L;14,15;2199289/6250000,35485849/100000000;8,35188624,0,0,59320000,59320000,0;8,35485849,0,0,59570000,59570000,0
6;L;15,16;35485849/100000000,8946081/25000000;8,35485849,0,0,59570000,59570000,0;8,35784324,0,0,59820000,59820000,0
6;L;16,17;8946081/25000000,36084049/100000000;8,35784324,0,0,59820000,59820000,0;8,36084049,0,0,60070000,60070000,0
6;L;17,18;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
6;L;18,19;142129/390625,36687249/100000000;8,36385024,0,0,60320000,60320000,0;8,36687249,0,0,60570000,60570000,0
6;L;19,20;36687249/100000000,9247681/25000000;8,36687249,0,0,60570000,60570000,0;8,36990724,0,0,60820000,60820000,0
6;L;20,21;9247681/25000000,37295449/100000000;8,36990724,0,0,60820000,60820000,0;8,37295449,0,0,61070000,61070000,0
6;L;21,22;37295449/100000000,2350089/6250000;8,37295449,0,0,61070000,61070000,0;8,37601424,0,0,61320000,61320000,0
6;L;22,23;2350089/6250000,37908649/100000000;8,37601424,0,0,61320000,61320000,0;8,37908649,0,0,61570000,61570000,0
6;L;23,24;37908649/100000000,9554281/25000000;8,37908649,0,0,61570000,61570000,0;8,38217124,0,0,61820000,61820000,0
6;L;24,25;9554281/25000000,38526849/100000000;8,38217124,0,0,61820000,61820000,0;8,38526849,0,0,62070000,62070000,0
6;L;25,26;38526849/100000000,606841/1562500;8,38526849,0,0,62070000,62070000,0;8,38837824,0,0,62320000,62320000,0
6;L;26,27;606841/1562500,39150049/100000000;8,38837824,0,0,62320000,62320000,0;8,39150049,0,0,62570000,62570000,0
6;L;27,28;39150049/100000000,9865881/25000000;8,39150049,0,0,62570000,62570000,0;8,39463524,0,0,62820000,62820000,0
6;L;28,29;9865881/25000000,39778249/100000000;8,39463524,0,0,62820000,62820000,0;8,39778249,0,0,63070000,63070000,0
6;L;29,30;39778249/100000000,2505889/6250000;8,39778249,0,0,63070000,63070000,0;8,40094224,0,0,63320000,63320000,0
6;L;30,31;2505889/6250000,40411449/100000000;8,40094224,0,0,63320000,63320000,0;8,40411449,0,0,63570000,63570000,0
6;L;31,32;40411449/100000000,40465317/100000000;8,40411449,0,0,63570000,63570000,0;10,4046531700,0,0,6361235438,6361235438,1404665896312
6;L;32,33;40465317/100000000,10182481/25000000;10,4046531700,0,0,6361235438,6361235438,1404665896312;8,40729924,0,0,63820000,63820000,0
6;L;33,34;10182481/25000000,41049649/100000000;8,40729924,0,0,63820000,63820000,0;8,41049649,0,0,64070000,64070000,0
6;L;34,35;41049649/100000000,161604/390625;8,41049649,0,0,64070000,64070000,0;8,41370624,0,0,64320000,64320000,0
6;L;35,36;161604/390625,41692849/100000000;8,41370624,0,0,64320000,64320000,0;8,41692849,0,0,64570000,64570000,0
6;L;36,37;41692849/100000000,10504081/25000000;8,41692849,0,0,64570000,64570000,0;8,42016324,0,0,64820000,64820000,0
6;L;37,38;10504081/25000000,42341049/100000000;8,42016324,0,0,64820000,64820000,0;8,42341049,0,0,65070000,65070000,0
6;L;38,39;42341049/100000000,2666689/6250000;8,42341049,0,0,65070000,65070000,0;8,42667024,0,0,65320000,65320000,0
6;L;39,40;2666689/6250000,42994249/100000000;8,42667024,0,0,65320000,65320000,0;8,42994249,0,0,65570000,65570000,0
6;L;40,41;42994249/100000000,10830681/25000000;8,42994249,0,0,65570000,65570000,0;8,43322724,0,0,65820000,65820000,0
6;L;41,42;10830681/25000000,43652449/100000000;8,43322724,0,0,65820000,65820000,0;8,43652449,0,0,66070000,66070000,0
6;L;42,43;43652449/100000000,687241/1562500;8,43652449,0,0,66070000,66070000,0;8,43983424,0,0,66320000,66320000,0
6;L;43,44;687241/1562500,44315649/100000000;8,43983424,0,0,66320000,66320000,0;8,44315649,0,0,66570000,66570000,0
6;L;44,45;44315649/100000000,11162281/25000000;8,44315649,0,0,66570000,66570000,0;8,44649124,0,0,66820000,66820000,0
6;L;45,46;11162281/25000000,44983849/100000000;8,44649124,0,0,66820000,66820000,0;8,44983849,0,0,67070000,67070000,0
6;L;46,47;44983849/100000000,2832489/6250000;8,44983849,0,0,67070000,67070000,0;8,45319824,0,0,67320000,67320000,0
6;L;47,48;2832489/6250000,11368867/25000000;8,45319824,0,0,67320000,67320000,0;8,45475468,0,0,67435501,67435501,9757998
7;C;0,6;20513487/50000000;2,41,1,1,57,57,1700;2,41,2,2,58,58,1464
8;C;0,6;20513487/50000000;2,41,0,0,57,57,1702;2,41,0,0,58,58,1472
8;C;6,7;33503327/100000000;4,3350,0,0,5772,5772,368032;4,3350,0,0,5775,5775,298750
8;L;7,8;16690071/50000000,33450067/100000000;4,3338,0,0,5775,5775,58750;4,3345,0,0,5782,5782,36952
8;L;8,9;33450067/100000000,33721249/100000000;4,3345,0,0,5782,5782,36952;8,33721249,0,0,58070000,58070000,0
8;L;9,10;33721249/100000000,531441/1562500;8,33721249,0,0,58070000,58070000,0;8,34012224,0,0,58320000,58320000,0
8;L;10,11;531441/1562500,34304449/100000000;8,34012224,0,0,58320000,58320000,0;8,34304449,0,0,58570000,58570000,0
8;L;11,12;34304449/100000000,8649481/25000000;8,34304449,0,0,58570000,58570000,0;8,34597924,0,0,58820000,58820000,0
8;L;12,13;8649481/25000000,34892649/100000000;8,34597924,0,0,58820000,58820000,0;8,34892649,0,0,59070000,59070000,0
8;L;13,14;34892649/100000000,2199289/6250000;8,34892649,0,0,59070000,59070000,0;8,35188624,0,0,59320000,59320000,0
8;L;14,15;2199289/6250000,35485849/100000000;8,35188624,0,0,59320000,59320000,0;8,35485849,0,0,59570000,59570000,0
8;L;15,16;35485849/100000000,8946081/25000000;8,35485849,0,0,59570000,59570000,0;8,35784324,0,0,59820000,59820000,0
8;L;16,17;8946081/25000000,36084049/100000000;8,35784324,0,0,59820000,59820000,0;8,36084049,0,0,60070000,60070000,0
8;L;17,18;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
8;L;18,19;142129/390625,36687249/100000000;8,36385024,0,0,60320000,60320000,0;8,36687249,0,0,60570000,60570000,0
8;L;19,20;36687249/100000000,9247681/25000000;8,36687249,0,0,60570000,60570000,0;8,36990724,0,0,60820000,60820000,0
8;L;20,21;9247681/25000000,37295449/100000000;8,36990724,0,0,60820000,60820000,0;8,37295449,0,0,61070000,61070000,0
8;L;21,22;37295449/100000000,2350089/6250000;8,37295449,0,0,61070000,61070000,0;8,37601424,0,0,61320000,61320000,0
8;L;22,23;2350089/6250000,37908649/100000000;8,37601424,0,0,61320000,61320000,0;8,37908649,0,0,61570000,61570000,0
8;L;23,24;37908649/100000000,9554281/25000000;8,37908649,0,0,61570000,61570000,0;8,38217124,0,0,61820000,61820000,0
8;L;24,25;9554281/25000000,38526849/100000000;8,38217124,0,0,61820000,61820000,0;8,38526849,0,0,62070000,62070000,0
8;L;25,26;38526849/100000000,606841/1562500;8,38526849,0,0,62070000,62070000,0;8,38837824,0,0,62320000,62320000,0
8;L;26,27;606841/1562500,39150049/100000000;8,38837824,0,0,62320000,62320000,0;8,39150049,0,0,62570000,62570000,0
8;L;27,28;39150049/100000000,9865881/25000000;8,39150049,0,0,62570000,62570000,0;8,39463524,0,0,62820000,62820000,0
8;L;28,29;9865881/25000000,39778249/100000000;8,39463524,0,0,62820000,62820000,0;8,39778249,0,0,63070000,63070000,0
8;L;29,30;39778249/100000000,2505889/6250000;8,39778249,0,0,63070000,63070000,0;8,40094224,0,0,63320000,63320000,0
8;L;30,31;2505889/6250000,40411449/100000000;8,40094224,0,0,63320000,63320000,0;8,40411449,0,0,63570000,63570000,0
8;L;31,32;40411449/100000000,40465317/100000000;8,40411449,0,0,63570000,63570000,0;10,4046531700,0,0,6361235438,6361235438,1404665896312
8;L;32,33;40465317/100000000,10182481/25000000;10,4046531700,0,0,6361235438,6361235438,1404665896312;8,40729924,0,0,63820000,63820000,0
8;L;33,34;10182481/25000000,41049649/100000000;8,40729924,0,0,63820000,63820000,0;8,41049649,0,0,64070000,64070000,0
8;L;34,35;41049649/100000000,161604/390625;8,41049649,0,0,64070000,64070000,0;8,41370624,0,0,64320000,64320000,0
8;L;35,36;161604/390625,41692849/100000000;8,41370624,0,0,64320000,64320000,0;8,41692849,0,0,64570000,64570000,0
8;L;36,37;41692849/100000000,10504081/25000000;8,41692849,0,0,64570000,64570000,0;8,42016324,0,0,64820000,64820000,0
8;L;37,38;10504081/25000000,42341049/100000000;8,42016324,0,0,64820000,64820000,0;8,42341049,0,0,65070000,65070000,0
8;L;38,39;42341049/100000000,2666689/6250000;8,42341049,0,0,65070000,65070000,0;8,42667024,0,0,65320000,65320000,0
8;L;39,40;2666689/6250000,42994249/100000000;8,42667024,0,0,65320000,65320000,0;8,42994249,0,0,65570000,65570000,0
8;L;40,41;42994249/100000000,10830681/25000000;8,42994249,0,0,65570000,65570000,0;8,43322724,0,0,65820000,65820000,0
8;L;41,42;10830681/25000000,43652449/100000000;8,43322724,0,0,65820000,65820000,0;8,43652449,0,0,66070000,66070000,0
8;L;42,43;43652449/100000000,687241/1562500;8,43652449,0,0,66070000,66070000,0;8,43983424,0,0,66320000,66320000,0
8;L;43,44;687241/1562500,44315649/100000000;8,43983424,0,0,66320000,66320000,0;8,44315649,0,0,66570000,66570000,0
8;L;44,45;44315649/100000000,11162281/25000000;8,44315649,0,0,66570000,66570000,0;8,44649124,0,0,66820000,66820000,0
8;L;45,46;11162281/25000000,44983849/100000000;8,44649124,0,0,66820000,66820000,0;8,44983849,0,0,67070000,67070000,0
8;L;46,47;44983849/100000000,2832489/6250000;8,44983849,0,0,67070000,67070000,0;8,45319824,0,0,67320000,67320000,0
8;L;47,48;2832489/6250000,11368867/25000000;8,45319824,0,0,67320000,67320000,0;8,45475468,0,0,67435501,67435501,9757998
9;C;6,7;33503327/100000000;4,3350,5772,5772,200,200,288032;4,3350,5775,5775,182,182,232502
9;L;7,8;16690071/50000000,33450067/100000000;8,33380142,57747013,57747013,1815676,1815676,20481710;8,33450067,57820000,57820000,1361715,1361715,64517550
9;L;8,9;33450067/100000000,33721249/100000000;8,33450067,57820000,57820000,1361715,1361715,64517550;8,33721249,58070000,58070000,0,0,0
9;L;9,10;33721249/100000000,531441/1562500;8,33721249,58070000,58070000,0,0,0;8,34012224,58320000,58320000,0,0,0
9;L;10,11;531441/1562500,34304449/100000000;8,34012224,58320000,58320000,0,0,0;8,34304449,58570000,58570000,0,0,0
9;L;11,12;34304449/100000000,8649481/25000000;8,34304449,58570000,58570000,0,0,0;8,34597924,58820000,58820000,0,0,0
9;L;12,13;8649481/25000000,34892649/100000000;8,34597924,58820000,58820000,0,0,0;8,34892649,59070000,59070000,0,0,0
9;L;13,14;34892649/100000000,2199289/6250000;8,34892649,59070000,59070000,0,0,0;8,35188624,59320000,59320000,0,0,0
9;L;14,15;2199289/6250000,35485849/100000000;8,35188624,59320000,59320000,0,0,0;8,35485849,59570000,59570000,0,0,0
9;L;15,16;35485849/100000000,8946081/25000000;8,35485849,59570000,59570000,0,0,0;8,35784324,59820000,59820000,0,0,0
9;L;16,17;8946081/25000000,36084049/100000000;8,35784324,59820000,59820000,0,0,0;8,36084049,60070000,60070000,0,0,0
9;L;17,18;36084049/100000000,142129/390625;8,36084049,60070000,60070000,0,0,0;8,36385024,60320000,60320000,0,0,0
9;L;18,19;142129/390625,36687249/100000000;8,36385024,60320000,60320000,0,0,0;8,36687249,60570000,60570000,0,0,0
9;L;19,20;36687249/100000000,9247681/25000000;8,36687249,60570000,60570000,0,0,0;8,36990724,60820000,60820000,0,0,0
9;L;20,21;9247681/25000000,37295449/100000000;8,36990724,60820000,60820000,0,0,0;8,37295449,61070000,61070000,0,0,0
9;L;21,22;37295449/100000000,2350089/6250000;8,37295449,61070000,61070000,0,0,0;8,37601424,61320000,61320000,0,0,0
9;L;22,23;2350089/6250000,37908649/100000000;8,37601424,61320000,61320000,0,0,0;8,37908649,61570000,61570000,0,0,0
9;L;23,24;37908649/100000000,9554281/25000000;8,37908649,61570000,61570000,0,0,0;8,38217124,61820000,61820000,0,0,0
9;L;24,25;9554281/25000000,38526849/100000000;8,38217124,61820000,61820000,0,0,0;8,38526849,62070000,62070000,0,0,0
9;L;25,26;38526849/100000000,606841/1562500;8,38526849,62070000,62070000,0,0,0;8,38837824,62320000,62320000,0,0,0
9;L;26,27;606841/1562500,39150049/100000000;8,38837824,62320000,62320000,0,0,0;8,39150049,62570000,62570000,0,0,0
9;L;27,28;39150049/100000000,9865881/25000000;8,39150049,62570000,62570000,0,0,0;8,39463524,62820000,62820000,0,0,0
9;L;28,29;9865881/25000000,39778249/100000000;8,39463524,62820000,62820000,0,0,0;8,39778249,63070000,63070000,0,0,0
9;L;29,30;39778249/100000000,2505889/6250000;8,39778249,63070000,63070000,0,0,0;8,40094224,63320000,63320000,0,0,0
9;L;30,31;2505889/6250000,40411449/100000000;8,40094224,63320000,63320000,0,0,0;8,40411449,63570000,63570000,0,0,0
9;L;31,32;40411449/100000000,40465317/100000000;8,40411449,63570000,63570000,0,0,0;10,4046531700,6361235438,6361235438,0,0,1404665896312
9;L;32,33;40465317/100000000,10182481/25000000;10,4046531700,6361235438,6361235438,0,0,1404665896312;8,40729924,63820000,63820000,0,0,0
9;L;33,34;10182481/25000000,41049649/100000000;8,40729924,63820000,63820000,0,0,0;8,41049649,64070000,64070000,0,0,0
9;L;34,35;41049649/100000000,161604/390625;8,41049649,64070000,64070000,0,0,0;8,41370624,64320000,64320000,0,0,0
9;L;35,36;161604/390625,41692849/100000000;8,41370624,64320000,64320000,0,0,0;8,41692849,64570000,64570000,0,0,0
9;L;36,37;41692849/100000000,10504081/25000000;8,41692849,64570000,64570000,0,0,0;8,42016324,64820000,64820000,0,0,0
9;L;37,38;10504081/25000000,42341049/100000000;8,42016324,64820000,64820000,0,0,0;8,42341049,65070000,65070000,0,0,0
9;L;38,39;42341049/100000000,2666689/6250000;8,42341049,65070000,65070000,0,0,0;8,42667024,65320000,65320000,0,0,0
9;L;39,40;2666689/6250000,42994249/100000000;8,42667024,65320000,65320000,0,0,0;8,42994249,65570000,65570000,0,0,0
9;L;40,41;42994249/100000000,10830681/25000000;8,42994249,65570000,65570000,0,0,0;8,43322724,65820000,65820000,0,0,0
9;L;41,42;10830681/25000000,43652449/100000000;8,43322724,65820000,65820000,0,0,0;8,43652449,66070000,66070000,0,0,0
9;L;42,43;43652449/100000000,687241/1562500;8,43652449,66070000,66070000,0,0,0;8,43983424,66320000,66320000,0,0,0
9;L;43,44;687241/1562500,44315649/100000000;8,43983424,66320000,66320000,0,0,0;8,44315649,66570000,66570000,0,0,0
9;L;44,45;44315649/100000000,11162281/25000000;8,44315649,66570000,66570000,0,0,0;8,44649124,66820000,66820000,0,0,0
9;L;45,46;11162281/25000000,44983849/100000000;8,44649124,66820000,66820000,0,0,0;8,44983849,67070000,67070000,0,0,0
9;L;46,47;44983849/100000000,2832489/6250000;8,44983849,67070000,67070000,0,0,0;8,45319824,67320000,67320000,0,0,0
9;L;47,48;2832489/6250000,11368867/25000000;8,45319824,67320000,67320000,0,0,0;8,45475468,67435501,67435501,0,0,9757998
10;C;0,6;20513487/50000000;2,41,0,0,24,57,4375;2,41,0,0,25,58,4211
11;C;0,32;16690071/50000000;2,33,0,0,14,57,3155;2,33,0,0,16,64,2248
12;C;0,6;20513487/50000000;2,41,0,0,23,57,4422;2,41,0,0,25,58,4211
13;C;0,32;16690071/50000000;2,33,0,0,8,57,3287;2,33,0,0,16,64,2248
14;C;6,32;16690071/50000000;2,33,58,25,0,0,2611;2,33,64,16,0,0,2248
MASS SLACK NUMERATOR 68240510444522853825228386106965106448495769
BIN 3: LOW; (29/28,59/56]; gamma0=5661/10000; mass ceiling=23507971/25000000.
GAMMA 0=5661/10000;1=2843/5000;2=5711/10000;3=79590262500/138930644567;4=717/1250;5=5761/10000;6=2893/5000;7=5811/10000;8=1459/2500;9=5861/10000;10=2943/5000;11=5911/10000;12=371/625;13=5961/10000;14=2993/5000;15=6011/10000;16=1509/2500;17=6061/10000;18=3043/5000;19=6111/10000;20=767/1250;21=6161/10000;22=3093/5000;23=6211/10000;24=1559/2500;25=6261/10000;26=30352218750/48341527021;27=3143/5000;28=6311/10000;29=396/625;30=6361/10000;31=3193/5000;32=6411/10000;33=1609/2500;34=6461/10000;35=3243/5000;36=6511/10000;37=817/1250;38=6561/10000;39=3293/5000;40=41818612500/63387344567;41=6611/10000;42=1659/2500;43=6661/10000;44=3343/5000;45=6711/10000;46=421/625;47=6761/10000;48=3393/5000;49=6811/10000;50=1709/2500;51=6861/10000;52=3443/5000;53=6911/10000;54=867/1250;55=6961/10000;56=3493/5000;57=7011/10000;58=1759/2500;59=7061/10000;60=3543/5000;61=7111/10000;62=446/625;63=7161/10000;64=3593/5000;65=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,39805736,40158091;1,2,40158091,40511998;2,3,40511998,40764594;3,4,32818882,32901696;4,5,32901696,33189121;5,6,33189121,33477796;6,7,33477796,33767721;7,8,33767721,34058896;8,9,34058896,34351321;9,10,34351321,34644996;10,11,34644996,34939921;11,12,34939921,35236096;12,13,35236096,35533521;13,14,35533521,35832196;14,15,35832196,36132121;15,16,36132121,36433296;16,17,36433296,36735721;17,18,36735721,37039396;18,19,37039396,37344321;19,20,37344321,37650496;20,21,37650496,37957921;21,22,37957921,38266596;22,23,38266596,38576521;23,24,38576521,38887696;24,25,38887696,39200121;25,26,39200121,39422137;26,27,39422137,39513796;27,28,39513796,39828721;28,29,39828721,40144896;29,30,40144896,40462321;30,31,40462321,40780996;31,32,40780996,41100921;32,33,41100921,41422096;33,34,41422096,41744521;34,35,41744521,42068196;35,36,42068196,42393121;36,37,42393121,42719296;37,38,42719296,43046721;38,39,43046721,43375396;39,40,43375396,43524534;40,41,0,0;41,42,0,0;42,43,0,0;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,3;58589975771992,8319699467549479800000,6167365870736
1;1,4,2,3;58589975771992,3170438986050000000000000,369291174971992,1568
2;1,4,2,3;58589975771992,792609746512500000000000,185800552212296,784
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;E;4,1
2;0;E;4,3
3;1;V;3,1
4;1;V;2,3
5;1;E;4,1
6;1;E;4,2
7;1;E;4,3
8;2;V;3,1
9;2;V;2,3
10;2;E;4,1
11;2;E;4,2
12;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/3;E/4,1/1/0/3;E/4,3/2/0/3
1:V/3,1/3/0/3;V/2,3/4/0/40;E/4,1/5/0/3;E/4,2/6/0/40;E/4,3/7/3/40
2:V/3,1/8/0/3;V/2,3/9/0/26;E/4,1/10/0/3;E/4,2/11/0/26;E/4,3/12/3/26
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;4975717/12500000,40158091/100000000;8,39805736,15671695,36140848,56610000,56610000,81667871;8,40158091,15740904,36300452,56860000,56860000,125858480
0;L;1,2;40158091/100000000,20255999/50000000;8,40158091,15740904,36300452,56860000,56860000,125858480;10,4051199800,1581011300,3646005650,5711000000,5711000000,69440387500
0;L;2,3;20255999/50000000,20382297/50000000;10,4051199800,1581011300,3646005650,5711000000,5711000000,69440387500;8,40764594,15859326,36573546,57287766,57287766,45270096
1;L;0,1;4975717/12500000,40158091/100000000;4,3980,1519,3590,5661,5661,310697;4,4015,1544,3615,5686,5686,186647
1;L;1,2;40158091/100000000,20255999/50000000;4,4015,1544,3615,5686,5686,186647;4,4051,1569,3640,5711,5711,77597
1;L;2,3;20255999/50000000,20382297/50000000;4,4051,1569,3640,5711,5711,77597;8,40764594,15859326,36573546,57287766,57287766,45270096
2;C;0,1;4975717/12500000;2,39,0,3,57,57,1293;2,39,0,15,57,57,1077
2;C;1,2;40158091/100000000;2,40,0,15,57,57,1277;2,40,0,28,58,58,488
2;L;2,3;20255999/50000000,20382297/50000000;2,40,0,28,58,58,488;8,40764594,15859326,36573546,57287766,57287766,45270096
3;C;0,3;4975717/12500000;2,39,0,0,57,57,1302;2,39,0,0,58,58,1072
4;C;0,2;4975717/12500000;2,39,0,0,57,57,1302;2,39,0,0,58,58,1072
4;C;2,3;20255999/50000000;2,40,0,0,58,58,1272;2,40,0,0,58,58,1272
4;L;3,4;16409441/50000000,514089/1562500;8,32818882,0,0,57287766,57287766,133458488;8,32901696,0,0,57360000,57360000,0
4;L;4,5;514089/1562500,33189121/100000000;8,32901696,0,0,57360000,57360000,0;8,33189121,0,0,57610000,57610000,0
4;L;5,6;33189121/100000000,8369449/25000000;8,33189121,0,0,57610000,57610000,0;8,33477796,0,0,57860000,57860000,0
4;L;6,7;8369449/25000000,33767721/100000000;8,33477796,0,0,57860000,57860000,0;8,33767721,0,0,58110000,58110000,0
4;L;7,8;33767721/100000000,2128681/6250000;8,33767721,0,0,58110000,58110000,0;8,34058896,0,0,58360000,58360000,0
4;L;8,9;2128681/6250000,34351321/100000000;8,34058896,0,0,58360000,58360000,0;8,34351321,0,0,58610000,58610000,0
4;L;9,10;34351321/100000000,8661249/25000000;8,34351321,0,0,58610000,58610000,0;8,34644996,0,0,58860000,58860000,0
4;L;10,11;8661249/25000000,34939921/100000000;8,34644996,0,0,58860000,58860000,0;8,34939921,0,0,59110000,59110000,0
4;L;11,12;34939921/100000000,137641/390625;8,34939921,0,0,59110000,59110000,0;8,35236096,0,0,59360000,59360000,0
4;L;12,13;137641/390625,35533521/100000000;8,35236096,0,0,59360000,59360000,0;8,35533521,0,0,59610000,59610000,0
4;L;13,14;35533521/100000000,8958049/25000000;8,35533521,0,0,59610000,59610000,0;8,35832196,0,0,59860000,59860000,0
4;L;14,15;8958049/25000000,36132121/100000000;8,35832196,0,0,59860000,59860000,0;8,36132121,0,0,60110000,60110000,0
4;L;15,16;36132121/100000000,2277081/6250000;8,36132121,0,0,60110000,60110000,0;8,36433296,0,0,60360000,60360000,0
4;L;16,17;2277081/6250000,36735721/100000000;8,36433296,0,0,60360000,60360000,0;8,36735721,0,0,60610000,60610000,0
4;L;17,18;36735721/100000000,9259849/25000000;8,36735721,0,0,60610000,60610000,0;8,37039396,0,0,60860000,60860000,0
4;L;18,19;9259849/25000000,37344321/100000000;8,37039396,0,0,60860000,60860000,0;8,37344321,0,0,61110000,61110000,0
4;L;19,20;37344321/100000000,588289/1562500;8,37344321,0,0,61110000,61110000,0;8,37650496,0,0,61360000,61360000,0
4;L;20,21;588289/1562500,37957921/100000000;8,37650496,0,0,61360000,61360000,0;8,37957921,0,0,61610000,61610000,0
4;L;21,22;37957921/100000000,9566649/25000000;8,37957921,0,0,61610000,61610000,0;8,38266596,0,0,61860000,61860000,0
4;L;22,23;9566649/25000000,38576521/100000000;8,38266596,0,0,61860000,61860000,0;8,38576521,0,0,62110000,62110000,0
4;L;23,24;38576521/100000000,2430481/6250000;8,38576521,0,0,62110000,62110000,0;8,38887696,0,0,62360000,62360000,0
4;L;24,25;2430481/6250000,39200121/100000000;8,38887696,0,0,62360000,62360000,0;8,39200121,0,0,62610000,62610000,0
4;L;25,26;39200121/100000000,39422137/100000000;8,39200121,0,0,62610000,62610000,0;10,3942213700,0,0,6278705002,6278705002,995720359992
4;L;26,27;39422137/100000000,9878449/25000000;10,3942213700,0,0,6278705002,6278705002,995720359992;8,39513796,0,0,62860000,62860000,0
4;L;27,28;9878449/25000000,39828721/100000000;8,39513796,0,0,62860000,62860000,0;8,39828721,0,0,63110000,63110000,0
4;L;28,29;39828721/100000000,156816/390625;8,39828721,0,0,63110000,63110000,0;8,40144896,0,0,63360000,63360000,0
4;L;29,30;156816/390625,40462321/100000000;8,40144896,0,0,63360000,63360000,0;8,40462321,0,0,63610000,63610000,0
4;L;30,31;40462321/100000000,10195249/25000000;8,40462321,0,0,63610000,63610000,0;8,40780996,0,0,63860000,63860000,0
4;L;31,32;10195249/25000000,41100921/100000000;8,40780996,0,0,63860000,63860000,0;8,41100921,0,0,64110000,64110000,0
4;L;32,33;41100921/100000000,2588881/6250000;8,41100921,0,0,64110000,64110000,0;8,41422096,0,0,64360000,64360000,0
4;L;33,34;2588881/6250000,41744521/100000000;8,41422096,0,0,64360000,64360000,0;8,41744521,0,0,64610000,64610000,0
4;L;34,35;41744521/100000000,10517049/25000000;8,41744521,0,0,64610000,64610000,0;8,42068196,0,0,64860000,64860000,0
4;L;35,36;10517049/25000000,42393121/100000000;8,42068196,0,0,64860000,64860000,0;8,42393121,0,0,65110000,65110000,0
4;L;36,37;42393121/100000000,667489/1562500;8,42393121,0,0,65110000,65110000,0;8,42719296,0,0,65360000,65360000,0
4;L;37,38;667489/1562500,43046721/100000000;8,42719296,0,0,65360000,65360000,0;8,43046721,0,0,65610000,65610000,0
4;L;38,39;43046721/100000000,10843849/25000000;8,43046721,0,0,65610000,65610000,0;8,43375396,0,0,65860000,65860000,0
4;L;39,40;10843849/25000000,21762267/50000000;8,43375396,0,0,65860000,65860000,0;8,43524534,0,0,65973126,65973126,91576248
5;C;0,3;4975717/12500000;2,39,0,0,57,57,1302;2,39,0,0,58,58,1072
6;C;0,2;4975717/12500000;2,39,0,0,57,57,1302;2,39,0,0,58,58,1072
6;C;2,3;20255999/50000000;2,40,0,0,58,58,1272;2,40,0,0,58,58,1272
6;L;3,4;16409441/50000000,514089/1562500;8,32818882,0,0,57287766,57287766,133458488;8,32901696,0,0,57360000,57360000,0
6;L;4,5;514089/1562500,33189121/100000000;8,32901696,0,0,57360000,57360000,0;8,33189121,0,0,57610000,57610000,0
6;L;5,6;33189121/100000000,8369449/25000000;8,33189121,0,0,57610000,57610000,0;8,33477796,0,0,57860000,57860000,0
6;L;6,7;8369449/25000000,33767721/100000000;8,33477796,0,0,57860000,57860000,0;8,33767721,0,0,58110000,58110000,0
6;L;7,8;33767721/100000000,2128681/6250000;8,33767721,0,0,58110000,58110000,0;8,34058896,0,0,58360000,58360000,0
6;L;8,9;2128681/6250000,34351321/100000000;8,34058896,0,0,58360000,58360000,0;8,34351321,0,0,58610000,58610000,0
6;L;9,10;34351321/100000000,8661249/25000000;8,34351321,0,0,58610000,58610000,0;8,34644996,0,0,58860000,58860000,0
6;L;10,11;8661249/25000000,34939921/100000000;8,34644996,0,0,58860000,58860000,0;8,34939921,0,0,59110000,59110000,0
6;L;11,12;34939921/100000000,137641/390625;8,34939921,0,0,59110000,59110000,0;8,35236096,0,0,59360000,59360000,0
6;L;12,13;137641/390625,35533521/100000000;8,35236096,0,0,59360000,59360000,0;8,35533521,0,0,59610000,59610000,0
6;L;13,14;35533521/100000000,8958049/25000000;8,35533521,0,0,59610000,59610000,0;8,35832196,0,0,59860000,59860000,0
6;L;14,15;8958049/25000000,36132121/100000000;8,35832196,0,0,59860000,59860000,0;8,36132121,0,0,60110000,60110000,0
6;L;15,16;36132121/100000000,2277081/6250000;8,36132121,0,0,60110000,60110000,0;8,36433296,0,0,60360000,60360000,0
6;L;16,17;2277081/6250000,36735721/100000000;8,36433296,0,0,60360000,60360000,0;8,36735721,0,0,60610000,60610000,0
6;L;17,18;36735721/100000000,9259849/25000000;8,36735721,0,0,60610000,60610000,0;8,37039396,0,0,60860000,60860000,0
6;L;18,19;9259849/25000000,37344321/100000000;8,37039396,0,0,60860000,60860000,0;8,37344321,0,0,61110000,61110000,0
6;L;19,20;37344321/100000000,588289/1562500;8,37344321,0,0,61110000,61110000,0;8,37650496,0,0,61360000,61360000,0
6;L;20,21;588289/1562500,37957921/100000000;8,37650496,0,0,61360000,61360000,0;8,37957921,0,0,61610000,61610000,0
6;L;21,22;37957921/100000000,9566649/25000000;8,37957921,0,0,61610000,61610000,0;8,38266596,0,0,61860000,61860000,0
6;L;22,23;9566649/25000000,38576521/100000000;8,38266596,0,0,61860000,61860000,0;8,38576521,0,0,62110000,62110000,0
6;L;23,24;38576521/100000000,2430481/6250000;8,38576521,0,0,62110000,62110000,0;8,38887696,0,0,62360000,62360000,0
6;L;24,25;2430481/6250000,39200121/100000000;8,38887696,0,0,62360000,62360000,0;8,39200121,0,0,62610000,62610000,0
6;L;25,26;39200121/100000000,39422137/100000000;8,39200121,0,0,62610000,62610000,0;10,3942213700,0,0,6278705002,6278705002,995720359992
6;L;26,27;39422137/100000000,9878449/25000000;10,3942213700,0,0,6278705002,6278705002,995720359992;8,39513796,0,0,62860000,62860000,0
6;L;27,28;9878449/25000000,39828721/100000000;8,39513796,0,0,62860000,62860000,0;8,39828721,0,0,63110000,63110000,0
6;L;28,29;39828721/100000000,156816/390625;8,39828721,0,0,63110000,63110000,0;8,40144896,0,0,63360000,63360000,0
6;L;29,30;156816/390625,40462321/100000000;8,40144896,0,0,63360000,63360000,0;8,40462321,0,0,63610000,63610000,0
6;L;30,31;40462321/100000000,10195249/25000000;8,40462321,0,0,63610000,63610000,0;8,40780996,0,0,63860000,63860000,0
6;L;31,32;10195249/25000000,41100921/100000000;8,40780996,0,0,63860000,63860000,0;8,41100921,0,0,64110000,64110000,0
6;L;32,33;41100921/100000000,2588881/6250000;8,41100921,0,0,64110000,64110000,0;8,41422096,0,0,64360000,64360000,0
6;L;33,34;2588881/6250000,41744521/100000000;8,41422096,0,0,64360000,64360000,0;8,41744521,0,0,64610000,64610000,0
6;L;34,35;41744521/100000000,10517049/25000000;8,41744521,0,0,64610000,64610000,0;8,42068196,0,0,64860000,64860000,0
6;L;35,36;10517049/25000000,42393121/100000000;8,42068196,0,0,64860000,64860000,0;8,42393121,0,0,65110000,65110000,0
6;L;36,37;42393121/100000000,667489/1562500;8,42393121,0,0,65110000,65110000,0;8,42719296,0,0,65360000,65360000,0
6;L;37,38;667489/1562500,43046721/100000000;8,42719296,0,0,65360000,65360000,0;8,43046721,0,0,65610000,65610000,0
6;L;38,39;43046721/100000000,10843849/25000000;8,43046721,0,0,65610000,65610000,0;8,43375396,0,0,65860000,65860000,0
6;L;39,40;10843849/25000000,21762267/50000000;8,43375396,0,0,65860000,65860000,0;8,43524534,0,0,65973126,65973126,91576248
7;L;3,4;16409441/50000000,514089/1562500;8,32818882,57287766,57287766,0,0,133458488;8,32901696,57360000,57360000,0,0,0
7;L;4,5;514089/1562500,33189121/100000000;8,32901696,57360000,57360000,0,0,0;8,33189121,57610000,57610000,0,0,0
7;L;5,6;33189121/100000000,8369449/25000000;8,33189121,57610000,57610000,0,0,0;8,33477796,57860000,57860000,0,0,0
7;L;6,7;8369449/25000000,33767721/100000000;8,33477796,57860000,57860000,0,0,0;8,33767721,58110000,58110000,0,0,0
7;L;7,8;33767721/100000000,2128681/6250000;8,33767721,58110000,58110000,0,0,0;8,34058896,58360000,58360000,0,0,0
7;L;8,9;2128681/6250000,34351321/100000000;8,34058896,58360000,58360000,0,0,0;8,34351321,58610000,58610000,0,0,0
7;L;9,10;34351321/100000000,8661249/25000000;8,34351321,58610000,58610000,0,0,0;8,34644996,58860000,58860000,0,0,0
7;L;10,11;8661249/25000000,34939921/100000000;8,34644996,58860000,58860000,0,0,0;8,34939921,59110000,59110000,0,0,0
7;L;11,12;34939921/100000000,137641/390625;8,34939921,59110000,59110000,0,0,0;8,35236096,59360000,59360000,0,0,0
7;L;12,13;137641/390625,35533521/100000000;8,35236096,59360000,59360000,0,0,0;8,35533521,59610000,59610000,0,0,0
7;L;13,14;35533521/100000000,8958049/25000000;8,35533521,59610000,59610000,0,0,0;8,35832196,59860000,59860000,0,0,0
7;L;14,15;8958049/25000000,36132121/100000000;8,35832196,59860000,59860000,0,0,0;8,36132121,60110000,60110000,0,0,0
7;L;15,16;36132121/100000000,2277081/6250000;8,36132121,60110000,60110000,0,0,0;8,36433296,60360000,60360000,0,0,0
7;L;16,17;2277081/6250000,36735721/100000000;8,36433296,60360000,60360000,0,0,0;8,36735721,60610000,60610000,0,0,0
7;L;17,18;36735721/100000000,9259849/25000000;8,36735721,60610000,60610000,0,0,0;8,37039396,60860000,60860000,0,0,0
7;L;18,19;9259849/25000000,37344321/100000000;8,37039396,60860000,60860000,0,0,0;8,37344321,61110000,61110000,0,0,0
7;L;19,20;37344321/100000000,588289/1562500;8,37344321,61110000,61110000,0,0,0;8,37650496,61360000,61360000,0,0,0
7;L;20,21;588289/1562500,37957921/100000000;8,37650496,61360000,61360000,0,0,0;8,37957921,61610000,61610000,0,0,0
7;L;21,22;37957921/100000000,9566649/25000000;8,37957921,61610000,61610000,0,0,0;8,38266596,61860000,61860000,0,0,0
7;L;22,23;9566649/25000000,38576521/100000000;8,38266596,61860000,61860000,0,0,0;8,38576521,62110000,62110000,0,0,0
7;L;23,24;38576521/100000000,2430481/6250000;8,38576521,62110000,62110000,0,0,0;8,38887696,62360000,62360000,0,0,0
7;L;24,25;2430481/6250000,39200121/100000000;8,38887696,62360000,62360000,0,0,0;8,39200121,62610000,62610000,0,0,0
7;L;25,26;39200121/100000000,39422137/100000000;8,39200121,62610000,62610000,0,0,0;10,3942213700,6278705002,6278705002,0,0,995720359992
7;L;26,27;39422137/100000000,9878449/25000000;10,3942213700,6278705002,6278705002,0,0,995720359992;8,39513796,62860000,62860000,0,0,0
7;L;27,28;9878449/25000000,39828721/100000000;8,39513796,62860000,62860000,0,0,0;8,39828721,63110000,63110000,0,0,0
7;L;28,29;39828721/100000000,156816/390625;8,39828721,63110000,63110000,0,0,0;8,40144896,63360000,63360000,0,0,0
7;L;29,30;156816/390625,40462321/100000000;8,40144896,63360000,63360000,0,0,0;8,40462321,63610000,63610000,0,0,0
7;L;30,31;40462321/100000000,10195249/25000000;8,40462321,63610000,63610000,0,0,0;8,40780996,63860000,63860000,0,0,0
7;L;31,32;10195249/25000000,41100921/100000000;8,40780996,63860000,63860000,0,0,0;8,41100921,64110000,64110000,0,0,0
7;L;32,33;41100921/100000000,2588881/6250000;8,41100921,64110000,64110000,0,0,0;8,41422096,64360000,64360000,0,0,0
7;L;33,34;2588881/6250000,41744521/100000000;8,41422096,64360000,64360000,0,0,0;8,41744521,64610000,64610000,0,0,0
7;L;34,35;41744521/100000000,10517049/25000000;8,41744521,64610000,64610000,0,0,0;8,42068196,64860000,64860000,0,0,0
7;L;35,36;10517049/25000000,42393121/100000000;8,42068196,64860000,64860000,0,0,0;8,42393121,65110000,65110000,0,0,0
7;L;36,37;42393121/100000000,667489/1562500;8,42393121,65110000,65110000,0,0,0;8,42719296,65360000,65360000,0,0,0
7;L;37,38;667489/1562500,43046721/100000000;8,42719296,65360000,65360000,0,0,0;8,43046721,65610000,65610000,0,0,0
7;L;38,39;43046721/100000000,10843849/25000000;8,43046721,65610000,65610000,0,0,0;8,43375396,65860000,65860000,0,0,0
7;L;39,40;10843849/25000000,21762267/50000000;8,43375396,65860000,65860000,0,0,0;8,43524534,65973126,65973126,0,0,91576248
8;C;0,3;4975717/12500000;2,39,0,0,23,57,4022;2,39,0,0,24,58,3860
9;C;0,26;16409441/50000000;2,32,0,0,13,57,2982;2,32,0,0,14,63,2235
10;C;0,3;4975717/12500000;2,39,0,0,23,57,4022;2,39,0,0,24,58,3860
11;C;0,26;16409441/50000000;2,32,0,0,8,57,3087;2,32,0,0,14,63,2235
12;C;3,26;16409441/50000000;2,32,58,24,0,0,2460;2,32,63,14,0,0,2235
MASS SLACK NUMERATOR 4030528759690115168121242062772675257
BIN 4: LOW; (59/56,15/14]; gamma0=711/1250; mass ceiling=4774179/5000000.
GAMMA 0=711/1250;1=5713/10000;2=30577050000/53340451967;3=2869/5000;4=80939250000/140618144567;5=5763/10000;6=1447/2500;7=5813/10000;8=2919/5000;9=5863/10000;10=368/625;11=5913/10000;12=2969/5000;13=5963/10000;14=1497/2500;15=6013/10000;16=3019/5000;17=6063/10000;18=761/1250;19=6113/10000;20=3069/5000;21=6163/10000;22=1547/2500;23=6213/10000;24=3119/5000;25=6263/10000;26=393/625;27=31026712500/49185277021;28=6313/10000;29=3169/5000;30=6363/10000;31=1597/2500;32=6413/10000;33=3219/5000;34=6463/10000;35=811/1250;36=6513/10000;37=3269/5000;38=6563/10000;39=1647/2500;40=6613/10000;41=43167600000/65074844567;42=3319/5000;43=6663/10000;44=418/625;45=6713/10000;46=3369/5000;47=6763/10000;48=1697/2500;49=6813/10000;50=3419/5000;51=6863/10000;52=861/1250;53=6913/10000;54=3469/5000;55=6963/10000;56=1747/2500;57=7013/10000;58=3519/5000;59=7063/10000;60=443/625;61=7113/10000;62=3569/5000;63=7163/10000;64=1797/2500;65=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,39582919,39931635;1,2,39931635,40203737;2,3,40203737,40281880;3,4,40281880,40534448;4,5,33131083,33212169;5,6,33212169,33500944;6,7,33500944,33790969;7,8,33790969,34082244;8,9,34082244,34374769;9,10,34374769,34668544;10,11,34668544,34963569;11,12,34963569,35259844;12,13,35259844,35557369;13,14,35557369,35856144;14,15,35856144,36156169;15,16,36156169,36457444;16,17,36457444,36759969;17,18,36759969,37063744;18,19,37063744,37368769;19,20,37368769,37675044;20,21,37675044,37982569;21,22,37982569,38291344;22,23,38291344,38601369;23,24,38601369,38912644;24,25,38912644,39225169;25,26,39225169,39538944;26,27,39538944,39792505;27,28,39792505,39853969;28,29,39853969,40170244;29,30,40170244,40487769;30,31,40487769,40806544;31,32,40806544,41126569;32,33,41126569,41447844;33,34,41447844,41770369;34,35,41770369,42094144;35,36,42094144,42419169;36,37,42419169,42745444;37,38,42745444,43072969;38,39,43072969,43401744;39,40,43401744,43731769;40,41,43731769,44003734;41,42,0,0;42,43,0,0;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,2,3;1858207108898,528406497675000000000000,1382505373494,392
1;1,4,2,3;1858207108898,396304873256250000000000,5982110954449,49
2;1,4,2,3;1858207108898,99076218314062500000000,11861604729548,98
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;V;2,3
2;0;E;4,1
3;0;E;4,2
4;0;E;4,3
5;1;V;3,1
6;1;V;2,3
7;1;E;4,1
8;1;E;4,2
9;1;E;4,3
10;2;V;3,1
11;2;V;2,3
12;2;E;4,1
13;2;E;4,2
14;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/4;V/2,3/1/0/2;E/4,1/2/0/4;E/4,2/3/0/2;E/4,3/4/2/4
1:V/3,1/5/0/4;V/2,3/6/0/41;E/4,1/7/0/4;E/4,2/8/0/41;E/4,3/9/4/41
2:V/3,1/10/0/4;V/2,3/11/0/27;E/4,1/12/0/4;E/4,2/13/0/27;E/4,3/14/4/27
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;39582919/100000000,7986327/20000000;8,39582919,13904000,35392000,56880000,56880000,120000000;8,39931635,13965112,35547556,57130000,57130000,109254320
0;L;1,2;7986327/20000000,40203737/100000000;8,39931635,13965112,35547556,57130000,57130000,109254320;10,4020373700,1401261093,3566846418,5732431743,5732431743,603336978529
0;L;2,3;40203737/100000000,1007047/2500000;10,4020373700,1401261093,3566846418,5732431743,5732431743,603336978529;8,40281880,14026223,35703112,57380000,57380000,61869727
0;L;3,4;1007047/2500000,2533403/6250000;8,40281880,14026223,35703112,57380000,57380000,61869727;10,4053444800,1407012592,3581486597,5755960602,5755960602,417910396319
1;C;0,2;39582919/100000000;2,39,0,0,57,57,1302;2,39,0,0,58,58,1072
2;L;0,1;39582919/100000000,7986327/20000000;4,3958,1340,3514,5688,5688,309516;4,3993,1365,3539,5713,5713,195516
2;L;1,2;7986327/20000000,40203737/100000000;4,3993,1365,3539,5713,5713,195516;4,4020,1384,3558,5733,5733,90602
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9;L;40,41;43731769/100000000,22001867/50000000;8,43731769,66130000,66130000,0,0,0;10,4400373400,6633531020,6633531020,0,0,413395519200
10;C;0,4;39582919/100000000;2,39,0,0,23,57,4022;2,39,0,0,24,58,3860
11;C;0,27;33131083/100000000;2,33,0,0,13,57,3182;2,33,0,0,14,64,2308
12;C;0,4;39582919/100000000;2,39,0,0,23,57,4022;2,39,0,0,24,58,3860
13;C;0,27;33131083/100000000;2,33,0,0,8,57,3287;2,33,0,0,14,64,2308
14;C;4,27;33131083/100000000;2,33,58,24,0,0,2660;2,33,64,14,0,0,2308
MASS SLACK NUMERATOR 24445840863917257066621110410664558824497854381
BIN 5: LOW; (15/14,61/56]; gamma0=1143/2000; mass ceiling=96929547/100000000.
GAMMA 0=1143/2000;1=287/500;2=1153/2000;3=82288237500/142305644567;4=579/1000;5=449662500/775041577;6=1163/2000;7=73/125;8=1173/2000;9=589/1000;10=1183/2000;11=297/500;12=1193/2000;13=599/1000;14=1203/2000;15=151/250;16=1213/2000;17=609/1000;18=1223/2000;19=307/500;20=1233/2000;21=619/1000;22=1243/2000;23=78/125;24=1253/2000;25=629/1000;26=1263/2000;27=31701206250/50029027021;28=317/500;29=1273/2000;30=639/1000;31=1283/2000;32=161/250;33=1293/2000;34=649/1000;35=1303/2000;36=327/500;37=1313/2000;38=659/1000;39=1323/2000;40=83/125;41=1333/2000;42=44516587500/66762344567;43=669/1000;44=1343/2000;45=337/500;46=1353/2000;47=679/1000;48=1363/2000;49=171/250;50=1373/2000;51=689/1000;52=1383/2000;53=347/500;54=1393/2000;55=699/1000;56=1403/2000;57=88/125;58=1413/2000;59=709/1000;60=1423/2000;61=357/500;62=1433/2000;63=719/1000;64=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,39411153,39756712;1,2,39756712,40103779;2,3,40103779,40347622;3,4,40347622,35753566;4,5,35753566,33660716;5,6,33660716,33814225;6,7,33814225,34105600;7,8,34105600,34398225;8,9,34398225,34692100;9,10,34692100,34987225;10,11,34987225,35283600;11,12,35283600,35581225;12,13,35581225,35880100;13,14,35880100,36180225;14,15,36180225,36481600;15,16,36481600,36784225;16,17,36784225,37088100;17,18,37088100,37393225;18,19,37393225,37699600;19,20,37699600,38007225;20,21,38007225,38316100;21,22,38316100,38626225;22,23,38626225,38937600;23,24,38937600,39250225;24,25,39250225,39564100;25,26,39564100,39879225;26,27,39879225,40152026;27,28,40152026,40195600;28,29,40195600,40513225;29,30,40513225,40832100;30,31,40832100,41152225;31,32,41152225,41473600;32,33,41473600,41796225;33,34,41796225,42120100;34,35,42120100,42445225;35,36,42445225,42771600;36,37,42771600,43099225;37,38,43099225,43428100;38,39,43428100,43758225;39,40,43758225,44089600;40,41,44089600,44422225;41,42,44422225,44461138;42,43,0,0;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,2,3;11953655839496,845450396280000000000000,251112913128,6272
1;1,4,2,3;11953655839496,634087797210000000000000,79170405439496,1568
2;1,4,2,3;11953655839496,158521949302500000000000,38697459826648,784
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;V;2,3
2;0;E;4,1
3;0;E;4,2
4;0;E;4,3
5;1;V;3,1
6;1;V;2,3
7;1;E;4,1
8;1;E;4,2
9;1;E;4,3
10;2;V;3,1
11;2;V;2,3
12;2;E;4,1
13;2;E;4,2
14;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/3;V/2,3/1/0/5;E/4,1/2/0/3;E/4,2/3/0/5;E/4,3/4/3/5
1:V/3,1/5/0/3;V/2,3/6/0/42;E/4,1/7/0/3;E/4,2/8/0/42;E/4,3/9/3/42
2:V/3,1/10/0/3;V/2,3/11/0/27;E/4,1/12/0/3;E/4,2/13/0/27;E/4,3/14/3/27
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;39411153/100000000,4969589/12500000;10,3941115300,1217950820,3466475410,5715000000,5715000000,31926659500;8,39756712,12232787,34816394,57400000,57400000,31049395
0;L;1,2;4969589/12500000,40103779/100000000;8,39756712,12232787,34816394,57400000,57400000,31049395;8,40103779,12286066,34968033,57650000,57650000,50354555
0;L;2,3;40103779/100000000,20173811/50000000;8,40103779,12286066,34968033,57650000,57650000,50354555;8,40347622,12323361,35074180,57824999,57824999,52291277
1;C;0,5;8415179/25000000;4,3366,0,0,5715,5715,1997550;10,3366071600,0,0,5801785522,5801785522,1513422375032
2;L;0,1;39411153/100000000,4969589/12500000;4,3941,1165,3440,5715,5715,306725;4,3975,1190,3465,5740,5740,182475
2;L;1,2;4969589/12500000,40103779/100000000;4,3975,1190,3465,5740,5740,182475;4,4010,1215,3490,5765,5765,73225
2;L;2,3;40103779/100000000,20173811/50000000;4,4010,1215,3490,5765,5765,73225;8,40347622,12323361,35074180,57824999,57824999,52291277
3;C;0,5;8415179/25000000;4,3366,0,0,5715,5715,1997550;10,3366071600,0,0,5801785522,5801785522,1513422375032
4;L;3,4;20173811/50000000,17876783/50000000;8,40347622,57824999,57824999,35074180,12323361,52291277;8,35753566,57900000,57900000,21116183,0,15510511
4;L;4,5;17876783/50000000,8415179/25000000;8,35753566,57900000,57900000,21116183,0,15510511;10,3366071600,5801785522,5801785522,0,0,1513422375032
5;C;0,3;39411153/100000000;2,39,0,0,58,58,1072;2,39,0,0,58,58,1072
6;C;0,5;8415179/25000000;4,3366,0,0,5715,5715,1997550;10,3366071600,0,0,5801785522,5801785522,1513422375032
6;L;5,6;8415179/25000000,1352569/4000000;10,3366071600,0,0,5801785522,5801785522,1513422375032;8,33814225,0,0,58150000,58150000,0
6;L;6,7;1352569/4000000,5329/15625;8,33814225,0,0,58150000,58150000,0;6,341056,0,0,584000,584000,0
6;L;7,8;5329/15625,1375929/4000000;6,341056,0,0,584000,584000,0;8,34398225,0,0,58650000,58650000,0
6;L;8,9;1375929/4000000,346921/1000000;8,34398225,0,0,58650000,58650000,0;6,346921,0,0,589000,589000,0
6;L;9,10;346921/1000000,1399489/4000000;6,346921,0,0,589000,589000,0;8,34987225,0,0,59150000,59150000,0
6;L;10,11;1399489/4000000,88209/250000;8,34987225,0,0,59150000,59150000,0;6,352836,0,0,594000,594000,0
6;L;11,12;88209/250000,1423249/4000000;6,352836,0,0,594000,594000,0;8,35581225,0,0,59650000,59650000,0
6;L;12,13;1423249/4000000,358801/1000000;8,35581225,0,0,59650000,59650000,0;6,358801,0,0,599000,599000,0
6;L;13,14;358801/1000000,1447209/4000000;6,358801,0,0,599000,599000,0;8,36180225,0,0,60150000,60150000,0
6;L;14,15;1447209/4000000,22801/62500;8,36180225,0,0,60150000,60150000,0;6,364816,0,0,604000,604000,0
6;L;15,16;22801/62500,1471369/4000000;6,364816,0,0,604000,604000,0;8,36784225,0,0,60650000,60650000,0
6;L;16,17;1471369/4000000,370881/1000000;8,36784225,0,0,60650000,60650000,0;6,370881,0,0,609000,609000,0
6;L;17,18;370881/1000000,1495729/4000000;6,370881,0,0,609000,609000,0;8,37393225,0,0,61150000,61150000,0
6;L;18,19;1495729/4000000,94249/250000;8,37393225,0,0,61150000,61150000,0;6,376996,0,0,614000,614000,0
6;L;19,20;94249/250000,1520289/4000000;6,376996,0,0,614000,614000,0;8,38007225,0,0,61650000,61650000,0
6;L;20,21;1520289/4000000,383161/1000000;8,38007225,0,0,61650000,61650000,0;6,383161,0,0,619000,619000,0
6;L;21,22;383161/1000000,1545049/4000000;6,383161,0,0,619000,619000,0;8,38626225,0,0,62150000,62150000,0
6;L;22,23;1545049/4000000,6084/15625;8,38626225,0,0,62150000,62150000,0;6,389376,0,0,624000,624000,0
6;L;23,24;6084/15625,1570009/4000000;6,389376,0,0,624000,624000,0;8,39250225,0,0,62650000,62650000,0
6;L;24,25;1570009/4000000,395641/1000000;8,39250225,0,0,62650000,62650000,0;6,395641,0,0,629000,629000,0
6;L;25,26;395641/1000000,1595169/4000000;6,395641,0,0,629000,629000,0;8,39879225,0,0,63150000,63150000,0
6;L;26,27;1595169/4000000,20076013/50000000;8,39879225,0,0,63150000,63150000,0;10,4015202600,0,0,6336562620,6336562620,325637471200
6;L;27,28;20076013/50000000,100489/250000;10,4015202600,0,0,6336562620,6336562620,325637471200;6,401956,0,0,634000,634000,0
6;L;28,29;100489/250000,1620529/4000000;6,401956,0,0,634000,634000,0;8,40513225,0,0,63650000,63650000,0
6;L;29,30;1620529/4000000,408321/1000000;8,40513225,0,0,63650000,63650000,0;6,408321,0,0,639000,639000,0
6;L;30,31;408321/1000000,1646089/4000000;6,408321,0,0,639000,639000,0;8,41152225,0,0,64150000,64150000,0
6;L;31,32;1646089/4000000,25921/62500;8,41152225,0,0,64150000,64150000,0;6,414736,0,0,644000,644000,0
6;L;32,33;25921/62500,1671849/4000000;6,414736,0,0,644000,644000,0;8,41796225,0,0,64650000,64650000,0
6;L;33,34;1671849/4000000,421201/1000000;8,41796225,0,0,64650000,64650000,0;6,421201,0,0,649000,649000,0
6;L;34,35;421201/1000000,1697809/4000000;6,421201,0,0,649000,649000,0;8,42445225,0,0,65150000,65150000,0
6;L;35,36;1697809/4000000,106929/250000;8,42445225,0,0,65150000,65150000,0;6,427716,0,0,654000,654000,0
6;L;36,37;106929/250000,1723969/4000000;6,427716,0,0,654000,654000,0;8,43099225,0,0,65650000,65650000,0
6;L;37,38;1723969/4000000,434281/1000000;8,43099225,0,0,65650000,65650000,0;6,434281,0,0,659000,659000,0
6;L;38,39;434281/1000000,1750329/4000000;6,434281,0,0,659000,659000,0;8,43758225,0,0,66150000,66150000,0
6;L;39,40;1750329/4000000,6889/15625;8,43758225,0,0,66150000,66150000,0;6,440896,0,0,664000,664000,0
6;L;40,41;6889/15625,1776889/4000000;6,440896,0,0,664000,664000,0;8,44422225,0,0,66650000,66650000,0
6;L;41,42;1776889/4000000,22230569/50000000;8,44422225,0,0,66650000,66650000,0;10,4446113800,0,0,6667918539,6667918539,714520210958
7;C;0,3;39411153/100000000;2,39,0,0,58,58,1072;2,39,0,0,58,58,1072
8;C;0,5;8415179/25000000;4,3366,0,0,5715,5715,1997550;10,3366071600,0,0,5801785522,5801785522,1513422375032
8;L;5,6;8415179/25000000,1352569/4000000;10,3366071600,0,0,5801785522,5801785522,1513422375032;8,33814225,0,0,58150000,58150000,0
8;L;6,7;1352569/4000000,5329/15625;8,33814225,0,0,58150000,58150000,0;6,341056,0,0,584000,584000,0
8;L;7,8;5329/15625,1375929/4000000;6,341056,0,0,584000,584000,0;8,34398225,0,0,58650000,58650000,0
8;L;8,9;1375929/4000000,346921/1000000;8,34398225,0,0,58650000,58650000,0;6,346921,0,0,589000,589000,0
8;L;9,10;346921/1000000,1399489/4000000;6,346921,0,0,589000,589000,0;8,34987225,0,0,59150000,59150000,0
8;L;10,11;1399489/4000000,88209/250000;8,34987225,0,0,59150000,59150000,0;6,352836,0,0,594000,594000,0
8;L;11,12;88209/250000,1423249/4000000;6,352836,0,0,594000,594000,0;8,35581225,0,0,59650000,59650000,0
8;L;12,13;1423249/4000000,358801/1000000;8,35581225,0,0,59650000,59650000,0;6,358801,0,0,599000,599000,0
8;L;13,14;358801/1000000,1447209/4000000;6,358801,0,0,599000,599000,0;8,36180225,0,0,60150000,60150000,0
8;L;14,15;1447209/4000000,22801/62500;8,36180225,0,0,60150000,60150000,0;6,364816,0,0,604000,604000,0
8;L;15,16;22801/62500,1471369/4000000;6,364816,0,0,604000,604000,0;8,36784225,0,0,60650000,60650000,0
8;L;16,17;1471369/4000000,370881/1000000;8,36784225,0,0,60650000,60650000,0;6,370881,0,0,609000,609000,0
8;L;17,18;370881/1000000,1495729/4000000;6,370881,0,0,609000,609000,0;8,37393225,0,0,61150000,61150000,0
8;L;18,19;1495729/4000000,94249/250000;8,37393225,0,0,61150000,61150000,0;6,376996,0,0,614000,614000,0
8;L;19,20;94249/250000,1520289/4000000;6,376996,0,0,614000,614000,0;8,38007225,0,0,61650000,61650000,0
8;L;20,21;1520289/4000000,383161/1000000;8,38007225,0,0,61650000,61650000,0;6,383161,0,0,619000,619000,0
8;L;21,22;383161/1000000,1545049/4000000;6,383161,0,0,619000,619000,0;8,38626225,0,0,62150000,62150000,0
8;L;22,23;1545049/4000000,6084/15625;8,38626225,0,0,62150000,62150000,0;6,389376,0,0,624000,624000,0
8;L;23,24;6084/15625,1570009/4000000;6,389376,0,0,624000,624000,0;8,39250225,0,0,62650000,62650000,0
8;L;24,25;1570009/4000000,395641/1000000;8,39250225,0,0,62650000,62650000,0;6,395641,0,0,629000,629000,0
8;L;25,26;395641/1000000,1595169/4000000;6,395641,0,0,629000,629000,0;8,39879225,0,0,63150000,63150000,0
8;L;26,27;1595169/4000000,20076013/50000000;8,39879225,0,0,63150000,63150000,0;10,4015202600,0,0,6336562620,6336562620,325637471200
8;L;27,28;20076013/50000000,100489/250000;10,4015202600,0,0,6336562620,6336562620,325637471200;6,401956,0,0,634000,634000,0
8;L;28,29;100489/250000,1620529/4000000;6,401956,0,0,634000,634000,0;8,40513225,0,0,63650000,63650000,0
8;L;29,30;1620529/4000000,408321/1000000;8,40513225,0,0,63650000,63650000,0;6,408321,0,0,639000,639000,0
8;L;30,31;408321/1000000,1646089/4000000;6,408321,0,0,639000,639000,0;8,41152225,0,0,64150000,64150000,0
8;L;31,32;1646089/4000000,25921/62500;8,41152225,0,0,64150000,64150000,0;6,414736,0,0,644000,644000,0
8;L;32,33;25921/62500,1671849/4000000;6,414736,0,0,644000,644000,0;8,41796225,0,0,64650000,64650000,0
8;L;33,34;1671849/4000000,421201/1000000;8,41796225,0,0,64650000,64650000,0;6,421201,0,0,649000,649000,0
8;L;34,35;421201/1000000,1697809/4000000;6,421201,0,0,649000,649000,0;8,42445225,0,0,65150000,65150000,0
8;L;35,36;1697809/4000000,106929/250000;8,42445225,0,0,65150000,65150000,0;6,427716,0,0,654000,654000,0
8;L;36,37;106929/250000,1723969/4000000;6,427716,0,0,654000,654000,0;8,43099225,0,0,65650000,65650000,0
8;L;37,38;1723969/4000000,434281/1000000;8,43099225,0,0,65650000,65650000,0;6,434281,0,0,659000,659000,0
8;L;38,39;434281/1000000,1750329/4000000;6,434281,0,0,659000,659000,0;8,43758225,0,0,66150000,66150000,0
8;L;39,40;1750329/4000000,6889/15625;8,43758225,0,0,66150000,66150000,0;6,440896,0,0,664000,664000,0
8;L;40,41;6889/15625,1776889/4000000;6,440896,0,0,664000,664000,0;8,44422225,0,0,66650000,66650000,0
8;L;41,42;1776889/4000000,22230569/50000000;8,44422225,0,0,66650000,66650000,0;10,4446113800,0,0,6667918539,6667918539,714520210958
9;C;3,5;8415179/25000000;4,3366,5783,5783,0,0,433822;10,3366071600,5801785522,5801785522,0,0,1513422375032
9;L;5,6;8415179/25000000,1352569/4000000;10,3366071600,5801785522,5801785522,0,0,1513422375032;8,33814225,58150000,58150000,0,0,0
9;L;6,7;1352569/4000000,5329/15625;8,33814225,58150000,58150000,0,0,0;6,341056,584000,584000,0,0,0
9;L;7,8;5329/15625,1375929/4000000;6,341056,584000,584000,0,0,0;8,34398225,58650000,58650000,0,0,0
9;L;8,9;1375929/4000000,346921/1000000;8,34398225,58650000,58650000,0,0,0;6,346921,589000,589000,0,0,0
9;L;9,10;346921/1000000,1399489/4000000;6,346921,589000,589000,0,0,0;8,34987225,59150000,59150000,0,0,0
9;L;10,11;1399489/4000000,88209/250000;8,34987225,59150000,59150000,0,0,0;6,352836,594000,594000,0,0,0
9;L;11,12;88209/250000,1423249/4000000;6,352836,594000,594000,0,0,0;8,35581225,59650000,59650000,0,0,0
9;L;12,13;1423249/4000000,358801/1000000;8,35581225,59650000,59650000,0,0,0;6,358801,599000,599000,0,0,0
9;L;13,14;358801/1000000,1447209/4000000;6,358801,599000,599000,0,0,0;8,36180225,60150000,60150000,0,0,0
9;L;14,15;1447209/4000000,22801/62500;8,36180225,60150000,60150000,0,0,0;6,364816,604000,604000,0,0,0
9;L;15,16;22801/62500,1471369/4000000;6,364816,604000,604000,0,0,0;8,36784225,60650000,60650000,0,0,0
9;L;16,17;1471369/4000000,370881/1000000;8,36784225,60650000,60650000,0,0,0;6,370881,609000,609000,0,0,0
9;L;17,18;370881/1000000,1495729/4000000;6,370881,609000,609000,0,0,0;8,37393225,61150000,61150000,0,0,0
9;L;18,19;1495729/4000000,94249/250000;8,37393225,61150000,61150000,0,0,0;6,376996,614000,614000,0,0,0
9;L;19,20;94249/250000,1520289/4000000;6,376996,614000,614000,0,0,0;8,38007225,61650000,61650000,0,0,0
9;L;20,21;1520289/4000000,383161/1000000;8,38007225,61650000,61650000,0,0,0;6,383161,619000,619000,0,0,0
9;L;21,22;383161/1000000,1545049/4000000;6,383161,619000,619000,0,0,0;8,38626225,62150000,62150000,0,0,0
9;L;22,23;1545049/4000000,6084/15625;8,38626225,62150000,62150000,0,0,0;6,389376,624000,624000,0,0,0
9;L;23,24;6084/15625,1570009/4000000;6,389376,624000,624000,0,0,0;8,39250225,62650000,62650000,0,0,0
9;L;24,25;1570009/4000000,395641/1000000;8,39250225,62650000,62650000,0,0,0;6,395641,629000,629000,0,0,0
9;L;25,26;395641/1000000,1595169/4000000;6,395641,629000,629000,0,0,0;8,39879225,63150000,63150000,0,0,0
9;L;26,27;1595169/4000000,20076013/50000000;8,39879225,63150000,63150000,0,0,0;10,4015202600,6336562620,6336562620,0,0,325637471200
9;L;27,28;20076013/50000000,100489/250000;10,4015202600,6336562620,6336562620,0,0,325637471200;6,401956,634000,634000,0,0,0
9;L;28,29;100489/250000,1620529/4000000;6,401956,634000,634000,0,0,0;8,40513225,63650000,63650000,0,0,0
9;L;29,30;1620529/4000000,408321/1000000;8,40513225,63650000,63650000,0,0,0;6,408321,639000,639000,0,0,0
9;L;30,31;408321/1000000,1646089/4000000;6,408321,639000,639000,0,0,0;8,41152225,64150000,64150000,0,0,0
9;L;31,32;1646089/4000000,25921/62500;8,41152225,64150000,64150000,0,0,0;6,414736,644000,644000,0,0,0
9;L;32,33;25921/62500,1671849/4000000;6,414736,644000,644000,0,0,0;8,41796225,64650000,64650000,0,0,0
9;L;33,34;1671849/4000000,421201/1000000;8,41796225,64650000,64650000,0,0,0;6,421201,649000,649000,0,0,0
9;L;34,35;421201/1000000,1697809/4000000;6,421201,649000,649000,0,0,0;8,42445225,65150000,65150000,0,0,0
9;L;35,36;1697809/4000000,106929/250000;8,42445225,65150000,65150000,0,0,0;6,427716,654000,654000,0,0,0
9;L;36,37;106929/250000,1723969/4000000;6,427716,654000,654000,0,0,0;8,43099225,65650000,65650000,0,0,0
9;L;37,38;1723969/4000000,434281/1000000;8,43099225,65650000,65650000,0,0,0;6,434281,659000,659000,0,0,0
9;L;38,39;434281/1000000,1750329/4000000;6,434281,659000,659000,0,0,0;8,43758225,66150000,66150000,0,0,0
9;L;39,40;1750329/4000000,6889/15625;8,43758225,66150000,66150000,0,0,0;6,440896,664000,664000,0,0,0
9;L;40,41;6889/15625,1776889/4000000;6,440896,664000,664000,0,0,0;8,44422225,66650000,66650000,0,0,0
9;L;41,42;1776889/4000000,22230569/50000000;8,44422225,66650000,66650000,0,0,0;10,4446113800,6667918539,6667918539,0,0,714520210958
10;C;0,3;39411153/100000000;2,39,0,0,23,58,3907;2,39,0,0,23,58,3907
11;C;0,27;8415179/25000000;2,33,0,0,13,58,3067;2,33,0,0,14,64,2308
12;C;0,3;39411153/100000000;2,39,0,0,23,58,3907;2,39,0,0,23,58,3907
13;C;0,27;8415179/25000000;2,33,0,0,8,58,3172;2,33,0,0,14,64,2308
14;C;3,27;8415179/25000000;2,33,58,23,0,0,2707;2,33,64,14,0,0,2308
MASS SLACK NUMERATOR 11016138598773947232415468853761195816704099
BIN 6: LOW; (61/56,31/28]; gamma0=2871/5000; mass ceiling=6147537/6250000.
GAMMA 0=2871/5000;1=5767/10000;2=362/625;3=83637225000/143993144567;4=5817/10000;5=2921/5000;6=5867/10000;7=33275025000/56715451967;8=1473/2500;9=5917/10000;10=2971/5000;11=5967/10000;12=749/1250;13=6017/10000;14=3021/5000;15=6067/10000;16=1523/2500;17=6117/10000;18=3071/5000;19=6167/10000;20=387/625;21=6217/10000;22=3121/5000;23=6267/10000;24=1573/2500;25=6317/10000;26=3171/5000;27=32375700000/50872777021;28=6367/10000;29=799/1250;30=6417/10000;31=3221/5000;32=6467/10000;33=1623/2500;34=6517/10000;35=3271/5000;36=6567/10000;37=412/625;38=6617/10000;39=3321/5000;40=6667/10000;41=1673/2500;42=45865575000/68449844567;43=6717/10000;44=3371/5000;45=6767/10000;46=849/1250;47=6817/10000;48=3421/5000;49=6867/10000;50=1723/2500;51=6917/10000;52=3471/5000;53=6967/10000;54=437/625;55=7017/10000;56=3521/5000;57=7067/10000;58=1773/2500;59=7117/10000;60=3571/5000;61=7167/10000;62=899/1250;63=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,39287159,39630007;1,2,39630007,39974345;2,3,39974345,40201277;3,4,40201277,38067747;4,5,38067747,35074881;5,6,35074881,34421689;6,7,34421689,34421833;7,8,34421833,34715664;8,9,34715664,35010889;9,10,35010889,35307364;10,11,35307364,35605089;11,12,35605089,35904064;12,13,35904064,36204289;13,14,36204289,36505764;14,15,36505764,36808489;15,16,36808489,37112464;16,17,37112464,37417689;17,18,37417689,37724164;18,19,37724164,38031889;19,20,38031889,38340864;20,21,38340864,38651089;21,22,38651089,38962564;22,23,38962564,39275289;23,24,39275289,39589264;24,25,39589264,39904489;25,26,39904489,40220964;26,27,40220964,40501159;27,28,40501159,40538689;28,29,40538689,40857664;29,30,40857664,41177889;30,31,41177889,41499364;31,32,41499364,41822089;32,33,41822089,42146064;33,34,42146064,42471289;34,35,42471289,42797764;35,36,42797764,43125489;36,37,43125489,43454464;37,38,43454464,43784689;38,39,43784689,44116164;39,40,44116164,44448889;40,41,44448889,44782864;41,42,44782864,44898182;42,43,0,0;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,2,3;14876732727556,2113625990700000000000000,33087249092268,1568
1;1,4,2,3;14876732727556,1585219493025000000000000,102070488327556,392
2;1,4,2,3;14876732727556,396304873256250000000000,12306588912107,49
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;V;2,3
2;0;E;4,1
3;0;E;4,2
4;0;E;4,3
5;1;V;3,1
6;1;V;2,3
7;1;E;4,1
8;1;E;4,2
9;1;E;4,3
10;2;V;3,1
11;2;V;2,3
12;2;E;4,1
13;2;E;4,2
14;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/3;V/2,3/1/0/7;E/4,1/2/0/3;E/4,2/3/0/7;E/4,3/4/3/7
1:V/3,1/5/0/3;V/2,3/6/0/42;E/4,1/7/0/3;E/4,2/8/0/42;E/4,3/9/3/42
2:V/3,1/10/0/3;V/2,3/11/0/27;E/4,1/12/0/3;E/4,2/13/0/27;E/4,3/14/3/27
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;39287159/100000000,39630007/100000000;8,39287159,10496130,33958065,57420000,57420000,76478875;8,39630007,10541828,34105914,57670000,57670000,92643020
0;L;1,2;39630007/100000000,7994869/20000000;8,39630007,10541828,34105914,57670000,57670000,92643020;8,39974345,10587527,34253764,57920000,57920000,123856575
0;L;2,3;7994869/20000000,40201277/100000000;8,39974345,10587527,34253764,57920000,57920000,123856575;10,4020127700,1061753673,3435085410,5808417148,5808417148,1833515233163
1;C;0,3;39287159/100000000;2,39,0,0,58,58,1072;2,39,0,0,59,59,838
1;C;3,5;35074881/100000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
1;C;5,6;34421689/100000000;4,3442,0,0,5842,5842,582072;8,34421689,0,0,58670000,58670000,0
1;L;6,7;34421689/100000000,34421833/100000000;8,34421689,0,0,58670000,58670000,0;10,3442183300,0,0,5867012225,5867012225,1103401098750
2;L;0,1;39287159/100000000,39630007/100000000;4,3928,996,3369,5742,5742,276695;4,3963,1021,3394,5767,5767,181745
2;L;1,2;39630007/100000000,7994869/20000000;4,3963,1021,3394,5767,5767,181745;4,3997,1046,3419,5792,5792,61795
2;L;2,3;7994869/20000000,40201277/100000000;4,3997,1046,3419,5792,5792,61795;10,4020127700,1061753673,3435085410,5808417148,5808417148,1833515233163
3;C;0,3;39287159/100000000;2,39,0,0,58,58,1072;2,39,0,0,59,59,838
3;C;3,5;35074881/100000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
3;C;5,6;34421689/100000000;4,3442,0,0,5842,5842,582072;8,34421689,0,0,58670000,58670000,0
3;L;6,7;34421689/100000000,34421833/100000000;8,34421689,0,0,58670000,58670000,0;10,3442183300,0,0,5867012225,5867012225,1103401098750
4;L;3,4;40201277/100000000,38067747/100000000;10,4020127700,5808417148,5808417148,3435085410,1061753673,1833515233163;10,3806774700,5817000000,5817000000,2908696531,393062,336050830195
4;L;4,5;38067747/100000000,35074881/100000000;10,3806774700,5817000000,5817000000,2908696531,393062,336050830195;8,35074881,58420000,58420000,13754392,0,100710336
4;L;5,6;35074881/100000000,34421689/100000000;8,35074881,58420000,58420000,13754392,0,100710336;8,34421689,58670000,58670000,0,0,0
4;L;6,7;34421689/100000000,34421833/100000000;8,34421689,58670000,58670000,0,0,0;10,3442183300,5867012225,5867012225,0,0,1103401098750
5;C;0,3;39287159/100000000;2,39,0,0,58,58,1072;2,39,0,0,59,59,838
6;C;0,5;35074881/100000000;2,35,0,0,58,58,272;2,35,0,0,59,59,38
6;C;5,6;34421689/100000000;4,3442,0,0,5842,5842,582072;8,34421689,0,0,58670000,58670000,0
6;L;6,7;34421689/100000000,34421833/100000000;8,34421689,0,0,58670000,58670000,0;10,3442183300,0,0,5867012225,5867012225,1103401098750
6;L;7,8;34421833/100000000,2169729/6250000;10,3442183300,0,0,5867012225,5867012225,1103401098750;8,34715664,0,0,58920000,58920000,0
6;L;8,9;2169729/6250000,35010889/100000000;8,34715664,0,0,58920000,58920000,0;8,35010889,0,0,59170000,59170000,0
6;L;9,10;35010889/100000000,8826841/25000000;8,35010889,0,0,59170000,59170000,0;8,35307364,0,0,59420000,59420000,0
6;L;10,11;8826841/25000000,35605089/100000000;8,35307364,0,0,59420000,59420000,0;8,35605089,0,0,59670000,59670000,0
6;L;11,12;35605089/100000000,561001/1562500;8,35605089,0,0,59670000,59670000,0;8,35904064,0,0,59920000,59920000,0
6;L;12,13;561001/1562500,36204289/100000000;8,35904064,0,0,59920000,59920000,0;8,36204289,0,0,60170000,60170000,0
6;L;13,14;36204289/100000000,9126441/25000000;8,36204289,0,0,60170000,60170000,0;8,36505764,0,0,60420000,60420000,0
6;L;14,15;9126441/25000000,36808489/100000000;8,36505764,0,0,60420000,60420000,0;8,36808489,0,0,60670000,60670000,0
6;L;15,16;36808489/100000000,2319529/6250000;8,36808489,0,0,60670000,60670000,0;8,37112464,0,0,60920000,60920000,0
6;L;16,17;2319529/6250000,37417689/100000000;8,37112464,0,0,60920000,60920000,0;8,37417689,0,0,61170000,61170000,0
6;L;17,18;37417689/100000000,9431041/25000000;8,37417689,0,0,61170000,61170000,0;8,37724164,0,0,61420000,61420000,0
6;L;18,19;9431041/25000000,38031889/100000000;8,37724164,0,0,61420000,61420000,0;8,38031889,0,0,61670000,61670000,0
6;L;19,20;38031889/100000000,149769/390625;8,38031889,0,0,61670000,61670000,0;8,38340864,0,0,61920000,61920000,0
6;L;20,21;149769/390625,38651089/100000000;8,38340864,0,0,61920000,61920000,0;8,38651089,0,0,62170000,62170000,0
6;L;21,22;38651089/100000000,9740641/25000000;8,38651089,0,0,62170000,62170000,0;8,38962564,0,0,62420000,62420000,0
6;L;22,23;9740641/25000000,39275289/100000000;8,38962564,0,0,62420000,62420000,0;8,39275289,0,0,62670000,62670000,0
6;L;23,24;39275289/100000000,2474329/6250000;8,39275289,0,0,62670000,62670000,0;8,39589264,0,0,62920000,62920000,0
6;L;24,25;2474329/6250000,39904489/100000000;8,39589264,0,0,62920000,62920000,0;8,39904489,0,0,63170000,63170000,0
6;L;25,26;39904489/100000000,10055241/25000000;8,39904489,0,0,63170000,63170000,0;8,40220964,0,0,63420000,63420000,0
6;L;26,27;10055241/25000000,40501159/100000000;8,40220964,0,0,63420000,63420000,0;10,4050115900,0,0,6364052033,6364052033,1442537133822
6;L;27,28;40501159/100000000,40538689/100000000;10,4050115900,0,0,6364052033,6364052033,1442537133822;8,40538689,0,0,63670000,63670000,0
6;L;28,29;40538689/100000000,638401/1562500;8,40538689,0,0,63670000,63670000,0;8,40857664,0,0,63920000,63920000,0
6;L;29,30;638401/1562500,41177889/100000000;8,40857664,0,0,63920000,63920000,0;8,41177889,0,0,64170000,64170000,0
6;L;30,31;41177889/100000000,10374841/25000000;8,41177889,0,0,64170000,64170000,0;8,41499364,0,0,64420000,64420000,0
6;L;31,32;10374841/25000000,41822089/100000000;8,41499364,0,0,64420000,64420000,0;8,41822089,0,0,64670000,64670000,0
6;L;32,33;41822089/100000000,2634129/6250000;8,41822089,0,0,64670000,64670000,0;8,42146064,0,0,64920000,64920000,0
6;L;33,34;2634129/6250000,42471289/100000000;8,42146064,0,0,64920000,64920000,0;8,42471289,0,0,65170000,65170000,0
6;L;34,35;42471289/100000000,10699441/25000000;8,42471289,0,0,65170000,65170000,0;8,42797764,0,0,65420000,65420000,0
6;L;35,36;10699441/25000000,43125489/100000000;8,42797764,0,0,65420000,65420000,0;8,43125489,0,0,65670000,65670000,0
6;L;36,37;43125489/100000000,169744/390625;8,43125489,0,0,65670000,65670000,0;8,43454464,0,0,65920000,65920000,0
6;L;37,38;169744/390625,43784689/100000000;8,43454464,0,0,65920000,65920000,0;8,43784689,0,0,66170000,66170000,0
6;L;38,39;43784689/100000000,11029041/25000000;8,43784689,0,0,66170000,66170000,0;8,44116164,0,0,66420000,66420000,0
6;L;39,40;11029041/25000000,44448889/100000000;8,44116164,0,0,66420000,66420000,0;8,44448889,0,0,66670000,66670000,0
6;L;40,41;44448889/100000000,2798929/6250000;8,44448889,0,0,66670000,66670000,0;8,44782864,0,0,66920000,66920000,0
6;L;41,42;2798929/6250000,22449091/50000000;8,44782864,0,0,66920000,66920000,0;10,4489818200,0,0,6700610541,6700610541,755679374638
7;C;0,3;39287159/100000000;2,39,0,0,58,58,1072;2,39,0,0,59,59,838
8;C;0,5;35074881/100000000;2,35,0,0,58,58,272;2,35,0,0,59,59,38
8;C;5,6;34421689/100000000;4,3442,0,0,5842,5842,582072;8,34421689,0,0,58670000,58670000,0
8;L;6,7;34421689/100000000,34421833/100000000;8,34421689,0,0,58670000,58670000,0;10,3442183300,0,0,5867012225,5867012225,1103401098750
8;L;7,8;34421833/100000000,2169729/6250000;10,3442183300,0,0,5867012225,5867012225,1103401098750;8,34715664,0,0,58920000,58920000,0
8;L;8,9;2169729/6250000,35010889/100000000;8,34715664,0,0,58920000,58920000,0;8,35010889,0,0,59170000,59170000,0
8;L;9,10;35010889/100000000,8826841/25000000;8,35010889,0,0,59170000,59170000,0;8,35307364,0,0,59420000,59420000,0
8;L;10,11;8826841/25000000,35605089/100000000;8,35307364,0,0,59420000,59420000,0;8,35605089,0,0,59670000,59670000,0
8;L;11,12;35605089/100000000,561001/1562500;8,35605089,0,0,59670000,59670000,0;8,35904064,0,0,59920000,59920000,0
8;L;12,13;561001/1562500,36204289/100000000;8,35904064,0,0,59920000,59920000,0;8,36204289,0,0,60170000,60170000,0
8;L;13,14;36204289/100000000,9126441/25000000;8,36204289,0,0,60170000,60170000,0;8,36505764,0,0,60420000,60420000,0
8;L;14,15;9126441/25000000,36808489/100000000;8,36505764,0,0,60420000,60420000,0;8,36808489,0,0,60670000,60670000,0
8;L;15,16;36808489/100000000,2319529/6250000;8,36808489,0,0,60670000,60670000,0;8,37112464,0,0,60920000,60920000,0
8;L;16,17;2319529/6250000,37417689/100000000;8,37112464,0,0,60920000,60920000,0;8,37417689,0,0,61170000,61170000,0
8;L;17,18;37417689/100000000,9431041/25000000;8,37417689,0,0,61170000,61170000,0;8,37724164,0,0,61420000,61420000,0
8;L;18,19;9431041/25000000,38031889/100000000;8,37724164,0,0,61420000,61420000,0;8,38031889,0,0,61670000,61670000,0
8;L;19,20;38031889/100000000,149769/390625;8,38031889,0,0,61670000,61670000,0;8,38340864,0,0,61920000,61920000,0
8;L;20,21;149769/390625,38651089/100000000;8,38340864,0,0,61920000,61920000,0;8,38651089,0,0,62170000,62170000,0
8;L;21,22;38651089/100000000,9740641/25000000;8,38651089,0,0,62170000,62170000,0;8,38962564,0,0,62420000,62420000,0
8;L;22,23;9740641/25000000,39275289/100000000;8,38962564,0,0,62420000,62420000,0;8,39275289,0,0,62670000,62670000,0
8;L;23,24;39275289/100000000,2474329/6250000;8,39275289,0,0,62670000,62670000,0;8,39589264,0,0,62920000,62920000,0
8;L;24,25;2474329/6250000,39904489/100000000;8,39589264,0,0,62920000,62920000,0;8,39904489,0,0,63170000,63170000,0
8;L;25,26;39904489/100000000,10055241/25000000;8,39904489,0,0,63170000,63170000,0;8,40220964,0,0,63420000,63420000,0
8;L;26,27;10055241/25000000,40501159/100000000;8,40220964,0,0,63420000,63420000,0;10,4050115900,0,0,6364052033,6364052033,1442537133822
8;L;27,28;40501159/100000000,40538689/100000000;10,4050115900,0,0,6364052033,6364052033,1442537133822;8,40538689,0,0,63670000,63670000,0
8;L;28,29;40538689/100000000,638401/1562500;8,40538689,0,0,63670000,63670000,0;8,40857664,0,0,63920000,63920000,0
8;L;29,30;638401/1562500,41177889/100000000;8,40857664,0,0,63920000,63920000,0;8,41177889,0,0,64170000,64170000,0
8;L;30,31;41177889/100000000,10374841/25000000;8,41177889,0,0,64170000,64170000,0;8,41499364,0,0,64420000,64420000,0
8;L;31,32;10374841/25000000,41822089/100000000;8,41499364,0,0,64420000,64420000,0;8,41822089,0,0,64670000,64670000,0
8;L;32,33;41822089/100000000,2634129/6250000;8,41822089,0,0,64670000,64670000,0;8,42146064,0,0,64920000,64920000,0
8;L;33,34;2634129/6250000,42471289/100000000;8,42146064,0,0,64920000,64920000,0;8,42471289,0,0,65170000,65170000,0
8;L;34,35;42471289/100000000,10699441/25000000;8,42471289,0,0,65170000,65170000,0;8,42797764,0,0,65420000,65420000,0
8;L;35,36;10699441/25000000,43125489/100000000;8,42797764,0,0,65420000,65420000,0;8,43125489,0,0,65670000,65670000,0
8;L;36,37;43125489/100000000,169744/390625;8,43125489,0,0,65670000,65670000,0;8,43454464,0,0,65920000,65920000,0
8;L;37,38;169744/390625,43784689/100000000;8,43454464,0,0,65920000,65920000,0;8,43784689,0,0,66170000,66170000,0
8;L;38,39;43784689/100000000,11029041/25000000;8,43784689,0,0,66170000,66170000,0;8,44116164,0,0,66420000,66420000,0
8;L;39,40;11029041/25000000,44448889/100000000;8,44116164,0,0,66420000,66420000,0;8,44448889,0,0,66670000,66670000,0
8;L;40,41;44448889/100000000,2798929/6250000;8,44448889,0,0,66670000,66670000,0;8,44782864,0,0,66920000,66920000,0
8;L;41,42;2798929/6250000,22449091/50000000;8,44782864,0,0,66920000,66920000,0;10,4489818200,0,0,6700610541,6700610541,755679374638
9;C;3,5;35074881/100000000;2,35,59,59,0,0,38;2,35,59,59,0,0,38
9;C;5,6;34421689/100000000;4,3442,5842,5842,0,0,582072;8,34421689,58670000,58670000,0,0,0
9;L;6,7;34421689/100000000,34421833/100000000;8,34421689,58670000,58670000,0,0,0;10,3442183300,5867012225,5867012225,0,0,1103401098750
9;L;7,8;34421833/100000000,2169729/6250000;10,3442183300,5867012225,5867012225,0,0,1103401098750;8,34715664,58920000,58920000,0,0,0
9;L;8,9;2169729/6250000,35010889/100000000;8,34715664,58920000,58920000,0,0,0;8,35010889,59170000,59170000,0,0,0
9;L;9,10;35010889/100000000,8826841/25000000;8,35010889,59170000,59170000,0,0,0;8,35307364,59420000,59420000,0,0,0
9;L;10,11;8826841/25000000,35605089/100000000;8,35307364,59420000,59420000,0,0,0;8,35605089,59670000,59670000,0,0,0
9;L;11,12;35605089/100000000,561001/1562500;8,35605089,59670000,59670000,0,0,0;8,35904064,59920000,59920000,0,0,0
9;L;12,13;561001/1562500,36204289/100000000;8,35904064,59920000,59920000,0,0,0;8,36204289,60170000,60170000,0,0,0
9;L;13,14;36204289/100000000,9126441/25000000;8,36204289,60170000,60170000,0,0,0;8,36505764,60420000,60420000,0,0,0
9;L;14,15;9126441/25000000,36808489/100000000;8,36505764,60420000,60420000,0,0,0;8,36808489,60670000,60670000,0,0,0
9;L;15,16;36808489/100000000,2319529/6250000;8,36808489,60670000,60670000,0,0,0;8,37112464,60920000,60920000,0,0,0
9;L;16,17;2319529/6250000,37417689/100000000;8,37112464,60920000,60920000,0,0,0;8,37417689,61170000,61170000,0,0,0
9;L;17,18;37417689/100000000,9431041/25000000;8,37417689,61170000,61170000,0,0,0;8,37724164,61420000,61420000,0,0,0
9;L;18,19;9431041/25000000,38031889/100000000;8,37724164,61420000,61420000,0,0,0;8,38031889,61670000,61670000,0,0,0
9;L;19,20;38031889/100000000,149769/390625;8,38031889,61670000,61670000,0,0,0;8,38340864,61920000,61920000,0,0,0
9;L;20,21;149769/390625,38651089/100000000;8,38340864,61920000,61920000,0,0,0;8,38651089,62170000,62170000,0,0,0
9;L;21,22;38651089/100000000,9740641/25000000;8,38651089,62170000,62170000,0,0,0;8,38962564,62420000,62420000,0,0,0
9;L;22,23;9740641/25000000,39275289/100000000;8,38962564,62420000,62420000,0,0,0;8,39275289,62670000,62670000,0,0,0
9;L;23,24;39275289/100000000,2474329/6250000;8,39275289,62670000,62670000,0,0,0;8,39589264,62920000,62920000,0,0,0
9;L;24,25;2474329/6250000,39904489/100000000;8,39589264,62920000,62920000,0,0,0;8,39904489,63170000,63170000,0,0,0
9;L;25,26;39904489/100000000,10055241/25000000;8,39904489,63170000,63170000,0,0,0;8,40220964,63420000,63420000,0,0,0
9;L;26,27;10055241/25000000,40501159/100000000;8,40220964,63420000,63420000,0,0,0;10,4050115900,6364052033,6364052033,0,0,1442537133822
9;L;27,28;40501159/100000000,40538689/100000000;10,4050115900,6364052033,6364052033,0,0,1442537133822;8,40538689,63670000,63670000,0,0,0
9;L;28,29;40538689/100000000,638401/1562500;8,40538689,63670000,63670000,0,0,0;8,40857664,63920000,63920000,0,0,0
9;L;29,30;638401/1562500,41177889/100000000;8,40857664,63920000,63920000,0,0,0;8,41177889,64170000,64170000,0,0,0
9;L;30,31;41177889/100000000,10374841/25000000;8,41177889,64170000,64170000,0,0,0;8,41499364,64420000,64420000,0,0,0
9;L;31,32;10374841/25000000,41822089/100000000;8,41499364,64420000,64420000,0,0,0;8,41822089,64670000,64670000,0,0,0
9;L;32,33;41822089/100000000,2634129/6250000;8,41822089,64670000,64670000,0,0,0;8,42146064,64920000,64920000,0,0,0
9;L;33,34;2634129/6250000,42471289/100000000;8,42146064,64920000,64920000,0,0,0;8,42471289,65170000,65170000,0,0,0
9;L;34,35;42471289/100000000,10699441/25000000;8,42471289,65170000,65170000,0,0,0;8,42797764,65420000,65420000,0,0,0
9;L;35,36;10699441/25000000,43125489/100000000;8,42797764,65420000,65420000,0,0,0;8,43125489,65670000,65670000,0,0,0
9;L;36,37;43125489/100000000,169744/390625;8,43125489,65670000,65670000,0,0,0;8,43454464,65920000,65920000,0,0,0
9;L;37,38;169744/390625,43784689/100000000;8,43454464,65920000,65920000,0,0,0;8,43784689,66170000,66170000,0,0,0
9;L;38,39;43784689/100000000,11029041/25000000;8,43784689,66170000,66170000,0,0,0;8,44116164,66420000,66420000,0,0,0
9;L;39,40;11029041/25000000,44448889/100000000;8,44116164,66420000,66420000,0,0,0;8,44448889,66670000,66670000,0,0,0
9;L;40,41;44448889/100000000,2798929/6250000;8,44448889,66670000,66670000,0,0,0;8,44782864,66920000,66920000,0,0,0
9;L;41,42;2798929/6250000,22449091/50000000;8,44782864,66920000,66920000,0,0,0;10,4489818200,6700610541,6700610541,0,0,755679374638
10;C;0,3;39287159/100000000;2,39,0,0,23,58,3907;2,39,0,0,23,59,3790
11;C;0,27;34421689/100000000;2,34,0,0,13,58,3267;2,34,0,0,14,64,2508
12;C;0,3;39287159/100000000;2,39,0,0,23,58,3907;2,39,0,0,23,59,3790
13;C;0,27;34421689/100000000;2,34,0,0,8,58,3372;2,34,0,0,14,64,2508
14;C;3,27;34421689/100000000;2,34,59,23,0,0,2790;2,34,64,14,0,0,2508
MASS SLACK NUMERATOR 4688175492931886189822760258772856354386829457
BIN 7: LOW; (31/28,9/8]; gamma0=5767/10000; mass ceiling=19943291/20000000.
GAMMA 0=5767/10000;1=362/625;2=5817/10000;3=84986212500/145680644567;4=2921/5000;5=5867/10000;6=1473/2500;7=5917/10000;8=34624012500/58402951967;9=2971/5000;10=5967/10000;11=749/1250;12=6017/10000;13=3021/5000;14=6067/10000;15=1523/2500;16=6117/10000;17=3071/5000;18=6167/10000;19=387/625;20=6217/10000;21=3121/5000;22=6267/10000;23=1573/2500;24=6317/10000;25=3171/5000;26=6367/10000;27=33050193750/51716527021;28=799/1250;29=6417/10000;30=3221/5000;31=6467/10000;32=1623/2500;33=6517/10000;34=3271/5000;35=6567/10000;36=412/625;37=6617/10000;38=3321/5000;39=6667/10000;40=1673/2500;41=6717/10000;42=47214562500/70137344567;43=3371/5000;44=6767/10000;45=849/1250;46=6817/10000;47=3421/5000;48=6867/10000;49=1723/2500;50=6917/10000;51=3471/5000;52=6967/10000;53=437/625;54=7017/10000;55=3521/5000;56=7067/10000;57=1773/2500;58=7117/10000;59=3571/5000;60=7167/10000;61=899/1250;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,39180743,39521178;1,2,39521178,39863084;2,3,39863084,40092765;3,4,40092765,38816051;4,5,38816051,36630714;5,6,36630714,35380502;6,7,35380502,35031762;7,8,35031762,35146752;8,9,35146752,35307364;9,10,35307364,35605089;10,11,35605089,35904064;11,12,35904064,36204289;12,13,36204289,36505764;13,14,36505764,36808489;14,15,36808489,37112464;15,16,37112464,37417689;16,17,37417689,37724164;17,18,37724164,38031889;18,19,38031889,38340864;19,20,38340864,38651089;20,21,38651089,38962564;21,22,38962564,39275289;22,23,39275289,39589264;23,24,39589264,39904489;24,25,39904489,40220964;25,26,40220964,40538689;26,27,40538689,40840337;27,28,40840337,40857664;28,29,40857664,41177889;29,30,41177889,41499364;30,31,41499364,41822089;31,32,41822089,42146064;32,33,42146064,42471289;33,34,42471289,42797764;34,35,42797764,43125489;35,36,43125489,43454464;36,37,43454464,43784689;37,38,43784689,44116164;38,39,44116164,44448889;39,40,44448889,44782864;40,41,44782864,45118089;41,42,45118089,45316181;42,43,0,0;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,2,3;77774782256888,38045267832600000000000000,226327224151464,128
1;1,4,2,3;77774782256888,28533950874450000000000000,541308471056888,32
2;1,4,2,3;77774782256888,7133487718612500000000000,258021809359144,16
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;V;2,3
2;0;E;4,1
3;0;E;4,2
4;0;E;4,3
5;1;V;3,1
6;1;V;2,3
7;1;E;4,1
8;1;E;4,2
9;1;E;4,3
10;2;V;3,1
11;2;V;2,3
12;2;E;4,1
13;2;E;4,2
14;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/3;V/2,3/1/0/8;E/4,1/2/0/3;E/4,2/3/0/8;E/4,3/4/3/8
1:V/3,1/5/0/3;V/2,3/6/0/42;E/4,1/7/0/3;E/4,2/8/0/42;E/4,3/9/3/42
2:V/3,1/10/0/3;V/2,3/11/0/27;E/4,1/12/0/3;E/4,2/13/0/27;E/4,3/14/3/27
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;39180743/100000000,19760589/50000000;8,39180743,8848836,33259418,57670000,57670000,15746380;8,39521178,8887196,33403598,57920000,57920000,187911980
0;L;1,2;19760589/50000000,9965771/25000000;8,39521178,8887196,33403598,57920000,57920000,187911980;8,39863084,8925556,33547778,58170000,58170000,41353580
0;L;2,3;9965771/25000000,8018553/20000000;8,39863084,8925556,33547778,58170000,58170000,41353580;10,4009276500,895123202,3364428586,5833733971,5833733971,654148450118
1;C;0,4;38816051/100000000;2,38,0,0,58,58,872;2,38,0,0,59,59,638
1;C;4,6;17690251/50000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
1;C;6,7;17515881/50000000;2,35,0,0,59,59,38;4,3503,0,0,5917,5917,38222
1;L;7,8;17515881/50000000,137292/390625;4,3503,0,0,5917,5917,38222;8,35146752,0,0,59284696,59284696,40375168
2;L;0,1;39180743/100000000,19760589/50000000;4,3918,829,3298,5767,5767,279377;4,3952,854,3323,5792,5792,173827
2;L;1,2;19760589/50000000,9965771/25000000;4,3952,854,3323,5792,5792,173827;4,3986,879,3348,5817,5817,63277
2;L;2,3;9965771/25000000,8018553/20000000;4,3986,879,3348,5817,5817,63277;10,4009276500,895123202,3364428586,5833733971,5833733971,654148450118
3;C;0,4;38816051/100000000;2,38,0,0,58,58,872;2,38,0,0,59,59,638
3;C;4,6;17690251/50000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
3;C;6,7;17515881/50000000;2,35,0,0,59,59,38;4,3503,0,0,5917,5917,38222
3;L;7,8;17515881/50000000,137292/390625;4,3503,0,0,5917,5917,38222;8,35146752,0,0,59284696,59284696,40375168
4;L;3,4;8018553/20000000,38816051/100000000;10,4009276500,5833733971,5833733971,3364428586,895123202,654148450118;8,38816051,58420000,58420000,30507161,2594322,21080395
4;L;4,5;38816051/100000000,18315357/50000000;8,38816051,58420000,58420000,30507161,2594322,21080395;8,36630714,58670000,58670000,21019157,0,39009351
4;L;5,6;18315357/50000000,17690251/50000000;8,36630714,58670000,58670000,21019157,0,39009351;8,35380502,58920000,58920000,11531154,0,87428284
4;L;6,7;17690251/50000000,17515881/50000000;8,35380502,58920000,58920000,11531154,0,87428284;8,35031762,59170000,59170000,2043150,0,138077500
4;L;7,8;17515881/50000000,137292/390625;8,35031762,59170000,59170000,2043150,0,138077500;8,35146752,59284696,59284696,0,0,40375168
5;C;0,3;39180743/100000000;2,39,0,0,58,58,1072;2,39,0,0,59,59,838
6;C;0,5;18315357/50000000;2,36,0,0,58,58,472;2,36,0,0,59,59,238
6;C;5,7;17515881/50000000;2,35,0,0,59,59,38;4,3503,0,0,5917,5917,38222
6;L;7,8;17515881/50000000,137292/390625;4,3503,0,0,5917,5917,38222;8,35146752,0,0,59284696,59284696,40375168
6;L;8,9;137292/390625,8826841/25000000;8,35146752,0,0,59284696,59284696,40375168;8,35307364,0,0,59420000,59420000,0
6;L;9,10;8826841/25000000,35605089/100000000;8,35307364,0,0,59420000,59420000,0;8,35605089,0,0,59670000,59670000,0
6;L;10,11;35605089/100000000,561001/1562500;8,35605089,0,0,59670000,59670000,0;8,35904064,0,0,59920000,59920000,0
6;L;11,12;561001/1562500,36204289/100000000;8,35904064,0,0,59920000,59920000,0;8,36204289,0,0,60170000,60170000,0
6;L;12,13;36204289/100000000,9126441/25000000;8,36204289,0,0,60170000,60170000,0;8,36505764,0,0,60420000,60420000,0
6;L;13,14;9126441/25000000,36808489/100000000;8,36505764,0,0,60420000,60420000,0;8,36808489,0,0,60670000,60670000,0
6;L;14,15;36808489/100000000,2319529/6250000;8,36808489,0,0,60670000,60670000,0;8,37112464,0,0,60920000,60920000,0
6;L;15,16;2319529/6250000,37417689/100000000;8,37112464,0,0,60920000,60920000,0;8,37417689,0,0,61170000,61170000,0
6;L;16,17;37417689/100000000,9431041/25000000;8,37417689,0,0,61170000,61170000,0;8,37724164,0,0,61420000,61420000,0
6;L;17,18;9431041/25000000,38031889/100000000;8,37724164,0,0,61420000,61420000,0;8,38031889,0,0,61670000,61670000,0
6;L;18,19;38031889/100000000,149769/390625;8,38031889,0,0,61670000,61670000,0;8,38340864,0,0,61920000,61920000,0
6;L;19,20;149769/390625,38651089/100000000;8,38340864,0,0,61920000,61920000,0;8,38651089,0,0,62170000,62170000,0
6;L;20,21;38651089/100000000,9740641/25000000;8,38651089,0,0,62170000,62170000,0;8,38962564,0,0,62420000,62420000,0
6;L;21,22;9740641/25000000,39275289/100000000;8,38962564,0,0,62420000,62420000,0;8,39275289,0,0,62670000,62670000,0
6;L;22,23;39275289/100000000,2474329/6250000;8,39275289,0,0,62670000,62670000,0;8,39589264,0,0,62920000,62920000,0
6;L;23,24;2474329/6250000,39904489/100000000;8,39589264,0,0,62920000,62920000,0;8,39904489,0,0,63170000,63170000,0
6;L;24,25;39904489/100000000,10055241/25000000;8,39904489,0,0,63170000,63170000,0;8,40220964,0,0,63420000,63420000,0
6;L;25,26;10055241/25000000,40538689/100000000;8,40220964,0,0,63420000,63420000,0;8,40538689,0,0,63670000,63670000,0
6;L;26,27;40538689/100000000,40840337/100000000;8,40538689,0,0,63670000,63670000,0;10,4084033700,0,0,6390644472,6390644472,464991682432
6;L;27,28;40840337/100000000,638401/1562500;10,4084033700,0,0,6390644472,6390644472,464991682432;8,40857664,0,0,63920000,63920000,0
6;L;28,29;638401/1562500,41177889/100000000;8,40857664,0,0,63920000,63920000,0;8,41177889,0,0,64170000,64170000,0
6;L;29,30;41177889/100000000,10374841/25000000;8,41177889,0,0,64170000,64170000,0;8,41499364,0,0,64420000,64420000,0
6;L;30,31;10374841/25000000,41822089/100000000;8,41499364,0,0,64420000,64420000,0;8,41822089,0,0,64670000,64670000,0
6;L;31,32;41822089/100000000,2634129/6250000;8,41822089,0,0,64670000,64670000,0;8,42146064,0,0,64920000,64920000,0
6;L;32,33;2634129/6250000,42471289/100000000;8,42146064,0,0,64920000,64920000,0;8,42471289,0,0,65170000,65170000,0
6;L;33,34;42471289/100000000,10699441/25000000;8,42471289,0,0,65170000,65170000,0;8,42797764,0,0,65420000,65420000,0
6;L;34,35;10699441/25000000,43125489/100000000;8,42797764,0,0,65420000,65420000,0;8,43125489,0,0,65670000,65670000,0
6;L;35,36;43125489/100000000,169744/390625;8,43125489,0,0,65670000,65670000,0;8,43454464,0,0,65920000,65920000,0
6;L;36,37;169744/390625,43784689/100000000;8,43454464,0,0,65920000,65920000,0;8,43784689,0,0,66170000,66170000,0
6;L;37,38;43784689/100000000,11029041/25000000;8,43784689,0,0,66170000,66170000,0;8,44116164,0,0,66420000,66420000,0
6;L;38,39;11029041/25000000,44448889/100000000;8,44116164,0,0,66420000,66420000,0;8,44448889,0,0,66670000,66670000,0
6;L;39,40;44448889/100000000,2798929/6250000;8,44448889,0,0,66670000,66670000,0;8,44782864,0,0,66920000,66920000,0
6;L;40,41;2798929/6250000,45118089/100000000;8,44782864,0,0,66920000,66920000,0;8,45118089,0,0,67170000,67170000,0
6;L;41,42;45118089/100000000,45316181/100000000;8,45118089,0,0,67170000,67170000,0;10,4531618100,0,0,6731729408,6731729408,354935939072
7;C;0,3;39180743/100000000;2,39,0,0,58,58,1072;2,39,0,0,59,59,838
8;C;0,5;18315357/50000000;2,36,0,0,58,58,472;2,36,0,0,59,59,238
8;C;5,7;17515881/50000000;2,35,0,0,59,59,38;4,3503,0,0,5917,5917,38222
8;L;7,8;17515881/50000000,137292/390625;4,3503,0,0,5917,5917,38222;8,35146752,0,0,59284696,59284696,40375168
8;L;8,9;137292/390625,8826841/25000000;8,35146752,0,0,59284696,59284696,40375168;8,35307364,0,0,59420000,59420000,0
8;L;9,10;8826841/25000000,35605089/100000000;8,35307364,0,0,59420000,59420000,0;8,35605089,0,0,59670000,59670000,0
8;L;10,11;35605089/100000000,561001/1562500;8,35605089,0,0,59670000,59670000,0;8,35904064,0,0,59920000,59920000,0
8;L;11,12;561001/1562500,36204289/100000000;8,35904064,0,0,59920000,59920000,0;8,36204289,0,0,60170000,60170000,0
8;L;12,13;36204289/100000000,9126441/25000000;8,36204289,0,0,60170000,60170000,0;8,36505764,0,0,60420000,60420000,0
8;L;13,14;9126441/25000000,36808489/100000000;8,36505764,0,0,60420000,60420000,0;8,36808489,0,0,60670000,60670000,0
8;L;14,15;36808489/100000000,2319529/6250000;8,36808489,0,0,60670000,60670000,0;8,37112464,0,0,60920000,60920000,0
8;L;15,16;2319529/6250000,37417689/100000000;8,37112464,0,0,60920000,60920000,0;8,37417689,0,0,61170000,61170000,0
8;L;16,17;37417689/100000000,9431041/25000000;8,37417689,0,0,61170000,61170000,0;8,37724164,0,0,61420000,61420000,0
8;L;17,18;9431041/25000000,38031889/100000000;8,37724164,0,0,61420000,61420000,0;8,38031889,0,0,61670000,61670000,0
8;L;18,19;38031889/100000000,149769/390625;8,38031889,0,0,61670000,61670000,0;8,38340864,0,0,61920000,61920000,0
8;L;19,20;149769/390625,38651089/100000000;8,38340864,0,0,61920000,61920000,0;8,38651089,0,0,62170000,62170000,0
8;L;20,21;38651089/100000000,9740641/25000000;8,38651089,0,0,62170000,62170000,0;8,38962564,0,0,62420000,62420000,0
8;L;21,22;9740641/25000000,39275289/100000000;8,38962564,0,0,62420000,62420000,0;8,39275289,0,0,62670000,62670000,0
8;L;22,23;39275289/100000000,2474329/6250000;8,39275289,0,0,62670000,62670000,0;8,39589264,0,0,62920000,62920000,0
8;L;23,24;2474329/6250000,39904489/100000000;8,39589264,0,0,62920000,62920000,0;8,39904489,0,0,63170000,63170000,0
8;L;24,25;39904489/100000000,10055241/25000000;8,39904489,0,0,63170000,63170000,0;8,40220964,0,0,63420000,63420000,0
8;L;25,26;10055241/25000000,40538689/100000000;8,40220964,0,0,63420000,63420000,0;8,40538689,0,0,63670000,63670000,0
8;L;26,27;40538689/100000000,40840337/100000000;8,40538689,0,0,63670000,63670000,0;10,4084033700,0,0,6390644472,6390644472,464991682432
8;L;27,28;40840337/100000000,638401/1562500;10,4084033700,0,0,6390644472,6390644472,464991682432;8,40857664,0,0,63920000,63920000,0
8;L;28,29;638401/1562500,41177889/100000000;8,40857664,0,0,63920000,63920000,0;8,41177889,0,0,64170000,64170000,0
8;L;29,30;41177889/100000000,10374841/25000000;8,41177889,0,0,64170000,64170000,0;8,41499364,0,0,64420000,64420000,0
8;L;30,31;10374841/25000000,41822089/100000000;8,41499364,0,0,64420000,64420000,0;8,41822089,0,0,64670000,64670000,0
8;L;31,32;41822089/100000000,2634129/6250000;8,41822089,0,0,64670000,64670000,0;8,42146064,0,0,64920000,64920000,0
8;L;32,33;2634129/6250000,42471289/100000000;8,42146064,0,0,64920000,64920000,0;8,42471289,0,0,65170000,65170000,0
8;L;33,34;42471289/100000000,10699441/25000000;8,42471289,0,0,65170000,65170000,0;8,42797764,0,0,65420000,65420000,0
8;L;34,35;10699441/25000000,43125489/100000000;8,42797764,0,0,65420000,65420000,0;8,43125489,0,0,65670000,65670000,0
8;L;35,36;43125489/100000000,169744/390625;8,43125489,0,0,65670000,65670000,0;8,43454464,0,0,65920000,65920000,0
8;L;36,37;169744/390625,43784689/100000000;8,43454464,0,0,65920000,65920000,0;8,43784689,0,0,66170000,66170000,0
8;L;37,38;43784689/100000000,11029041/25000000;8,43784689,0,0,66170000,66170000,0;8,44116164,0,0,66420000,66420000,0
8;L;38,39;11029041/25000000,44448889/100000000;8,44116164,0,0,66420000,66420000,0;8,44448889,0,0,66670000,66670000,0
8;L;39,40;44448889/100000000,2798929/6250000;8,44448889,0,0,66670000,66670000,0;8,44782864,0,0,66920000,66920000,0
8;L;40,41;2798929/6250000,45118089/100000000;8,44782864,0,0,66920000,66920000,0;8,45118089,0,0,67170000,67170000,0
8;L;41,42;45118089/100000000,45316181/100000000;8,45118089,0,0,67170000,67170000,0;10,4531618100,0,0,6731729408,6731729408,354935939072
9;C;3,7;17515881/50000000;2,35,59,59,0,0,38;4,3503,5917,5917,0,0,38222
9;L;7,8;17515881/50000000,137292/390625;4,3503,5917,5917,0,0,38222;8,35146752,59284696,59284696,0,0,40375168
9;L;8,9;137292/390625,8826841/25000000;8,35146752,59284696,59284696,0,0,40375168;8,35307364,59420000,59420000,0,0,0
9;L;9,10;8826841/25000000,35605089/100000000;8,35307364,59420000,59420000,0,0,0;8,35605089,59670000,59670000,0,0,0
9;L;10,11;35605089/100000000,561001/1562500;8,35605089,59670000,59670000,0,0,0;8,35904064,59920000,59920000,0,0,0
9;L;11,12;561001/1562500,36204289/100000000;8,35904064,59920000,59920000,0,0,0;8,36204289,60170000,60170000,0,0,0
9;L;12,13;36204289/100000000,9126441/25000000;8,36204289,60170000,60170000,0,0,0;8,36505764,60420000,60420000,0,0,0
9;L;13,14;9126441/25000000,36808489/100000000;8,36505764,60420000,60420000,0,0,0;8,36808489,60670000,60670000,0,0,0
9;L;14,15;36808489/100000000,2319529/6250000;8,36808489,60670000,60670000,0,0,0;8,37112464,60920000,60920000,0,0,0
9;L;15,16;2319529/6250000,37417689/100000000;8,37112464,60920000,60920000,0,0,0;8,37417689,61170000,61170000,0,0,0
9;L;16,17;37417689/100000000,9431041/25000000;8,37417689,61170000,61170000,0,0,0;8,37724164,61420000,61420000,0,0,0
9;L;17,18;9431041/25000000,38031889/100000000;8,37724164,61420000,61420000,0,0,0;8,38031889,61670000,61670000,0,0,0
9;L;18,19;38031889/100000000,149769/390625;8,38031889,61670000,61670000,0,0,0;8,38340864,61920000,61920000,0,0,0
9;L;19,20;149769/390625,38651089/100000000;8,38340864,61920000,61920000,0,0,0;8,38651089,62170000,62170000,0,0,0
9;L;20,21;38651089/100000000,9740641/25000000;8,38651089,62170000,62170000,0,0,0;8,38962564,62420000,62420000,0,0,0
9;L;21,22;9740641/25000000,39275289/100000000;8,38962564,62420000,62420000,0,0,0;8,39275289,62670000,62670000,0,0,0
9;L;22,23;39275289/100000000,2474329/6250000;8,39275289,62670000,62670000,0,0,0;8,39589264,62920000,62920000,0,0,0
9;L;23,24;2474329/6250000,39904489/100000000;8,39589264,62920000,62920000,0,0,0;8,39904489,63170000,63170000,0,0,0
9;L;24,25;39904489/100000000,10055241/25000000;8,39904489,63170000,63170000,0,0,0;8,40220964,63420000,63420000,0,0,0
9;L;25,26;10055241/25000000,40538689/100000000;8,40220964,63420000,63420000,0,0,0;8,40538689,63670000,63670000,0,0,0
9;L;26,27;40538689/100000000,40840337/100000000;8,40538689,63670000,63670000,0,0,0;10,4084033700,6390644472,6390644472,0,0,464991682432
9;L;27,28;40840337/100000000,638401/1562500;10,4084033700,6390644472,6390644472,0,0,464991682432;8,40857664,63920000,63920000,0,0,0
9;L;28,29;638401/1562500,41177889/100000000;8,40857664,63920000,63920000,0,0,0;8,41177889,64170000,64170000,0,0,0
9;L;29,30;41177889/100000000,10374841/25000000;8,41177889,64170000,64170000,0,0,0;8,41499364,64420000,64420000,0,0,0
9;L;30,31;10374841/25000000,41822089/100000000;8,41499364,64420000,64420000,0,0,0;8,41822089,64670000,64670000,0,0,0
9;L;31,32;41822089/100000000,2634129/6250000;8,41822089,64670000,64670000,0,0,0;8,42146064,64920000,64920000,0,0,0
9;L;32,33;2634129/6250000,42471289/100000000;8,42146064,64920000,64920000,0,0,0;8,42471289,65170000,65170000,0,0,0
9;L;33,34;42471289/100000000,10699441/25000000;8,42471289,65170000,65170000,0,0,0;8,42797764,65420000,65420000,0,0,0
9;L;34,35;10699441/25000000,43125489/100000000;8,42797764,65420000,65420000,0,0,0;8,43125489,65670000,65670000,0,0,0
9;L;35,36;43125489/100000000,169744/390625;8,43125489,65670000,65670000,0,0,0;8,43454464,65920000,65920000,0,0,0
9;L;36,37;169744/390625,43784689/100000000;8,43454464,65920000,65920000,0,0,0;8,43784689,66170000,66170000,0,0,0
9;L;37,38;43784689/100000000,11029041/25000000;8,43784689,66170000,66170000,0,0,0;8,44116164,66420000,66420000,0,0,0
9;L;38,39;11029041/25000000,44448889/100000000;8,44116164,66420000,66420000,0,0,0;8,44448889,66670000,66670000,0,0,0
9;L;39,40;44448889/100000000,2798929/6250000;8,44448889,66670000,66670000,0,0,0;8,44782864,66920000,66920000,0,0,0
9;L;40,41;2798929/6250000,45118089/100000000;8,44782864,66920000,66920000,0,0,0;8,45118089,67170000,67170000,0,0,0
9;L;41,42;45118089/100000000,45316181/100000000;8,45118089,67170000,67170000,0,0,0;10,4531618100,6731729408,6731729408,0,0,354935939072
10;C;0,3;39180743/100000000;2,39,0,0,23,58,3907;2,39,0,0,23,59,3790
11;C;0,27;17515881/50000000;2,35,0,0,13,58,3467;2,35,0,0,14,64,2708
12;C;0,3;39180743/100000000;2,39,0,0,23,58,3907;2,39,0,0,23,59,3790
13;C;0,27;17515881/50000000;2,35,0,0,8,58,3572;2,35,0,0,14,64,2708
14;C;3,27;17515881/50000000;2,35,59,23,0,0,2990;2,35,64,14,0,0,2708
MASS SLACK NUMERATOR 58090500721797316080839991502112083418500444677
BIN 8: LOW; (9/8,127/112]; gamma0=289/500; mass ceiling=12259017/12500000.
GAMMA 0=289/500;1=1161/2000;2=12237243750/21052592081;3=583/1000;4=1171/2000;5=5042643750/8584350281;6=147/250;7=1181/2000;8=593/1000;9=1191/2000;10=299/500;11=1201/2000;12=603/1000;13=1211/2000;14=76/125;15=1221/2000;16=613/1000;17=1231/2000;18=309/500;19=1241/2000;20=623/1000;21=1251/2000;22=157/250;23=1261/2000;24=633/1000;25=4769634375/7508611003;26=1271/2000;27=319/500;28=1281/2000;29=643/1000;30=1291/2000;31=81/125;32=1301/2000;33=653/1000;34=1311/2000;35=329/500;36=1321/2000;37=663/1000;38=1331/2000;39=6841293750/10260692081;40=167/250;41=1341/2000;42=673/1000;43=1351/2000;44=339/500;45=1361/2000;46=683/1000;47=1371/2000;48=86/125;49=1381/2000;50=693/1000;51=1391/2000;52=349/500;53=1401/2000;54=703/1000;55=1411/2000;56=177/250;57=1421/2000;58=713/1000;59=1431/2000;60=359/500;61=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38862199,39199104;1,2,39199104,39303187;2,3,39303187,36453719;3,4,36453719,34549410;4,5,34549410,34506564;5,6,34506564,34574400;6,7,34574400,34869025;7,8,34869025,35164900;8,9,35164900,35462025;9,10,35462025,35760400;10,11,35760400,36060025;11,12,36060025,36360900;12,13,36360900,36663025;13,14,36663025,36966400;14,15,36966400,37271025;15,16,37271025,37576900;16,17,37576900,37884025;17,18,37884025,38192400;18,19,38192400,38502025;19,20,38502025,38812900;20,21,38812900,39125025;21,22,39125025,39438400;22,23,39438400,39753025;23,24,39753025,40068900;24,25,40068900,40350691;25,26,40350691,40386025;26,27,40386025,40704400;27,28,40704400,41024025;28,29,41024025,41344900;29,30,41344900,41667025;30,31,41667025,41990400;31,32,41990400,42315025;32,33,42315025,42640900;33,34,42640900,42968025;34,35,42968025,43296400;35,36,43296400,43626025;36,37,43626025,43956900;37,38,43956900,44289025;38,39,44289025,44455262;39,40,0,0;40,41,0,0;41,42,0,0;42,43,0,0;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,2,3;3855349522192,38821701870000000000000,13589400313776,25088
1;1,4,2,3;3855349522192,29116276402500000000000,50994368722192,6272
2;1,4,2,3;3855349522192,7279069100625000000000,24060804054896,3136
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;V;2,3
2;0;E;4,1
3;0;E;4,2
4;0;E;4,3
5;1;V;3,1
6;1;V;2,3
7;1;E;4,1
8;1;E;4,2
9;1;E;4,3
10;2;V;3,1
11;2;V;2,3
12;2;E;4,1
13;2;E;4,2
14;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/2;V/2,3/1/0/5;E/4,1/2/0/2;E/4,2/3/0/5;E/4,3/4/2/5
1:V/3,1/5/0/2;V/2,3/6/0/39;E/4,1/7/0/2;E/4,2/8/0/39;E/4,3/9/2/39
2:V/3,1/10/0/2;V/2,3/11/0/25;E/4,1/12/0/2;E/4,2/13/0/25;E/4,3/14/2/25
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;38862199/100000000,306243/781250;8,38862199,6826772,32313386,57800000,57800000,69275020;8,39199104,6856300,32453150,58050000,58050000,5387500
0;L;1,2;306243/781250,39303187/100000000;8,39199104,6856300,32453150,58050000,58050000,5387500;8,39303187,6865396,32496207,58127017,58127017,57739757
1;C;0,5;8626641/25000000;2,34,0,0,58,58,72;8,34506564,0,0,58742288,58742288,1050112
2;L;0,1;38862199/100000000,306243/781250;4,3886,654,3217,5780,5780,126395;4,3919,679,3242,5805,5805,12345
2;L;1,2;306243/781250,39303187/100000000;4,3919,679,3242,5805,5805,12345;8,39303187,6865396,32496207,58127017,58127017,57739757
3;C;0,5;8626641/25000000;2,34,0,0,58,58,72;8,34506564,0,0,58742288,58742288,1050112
4;L;2,3;39303187/100000000,36453719/100000000;8,39303187,58127017,58127017,32496207,6865396,57739757;8,36453719,58300000,58300000,22202787,0,49432631
4;L;3,4;36453719/100000000,3454941/10000000;8,36453719,58300000,58300000,22202787,0,49432631;8,34549410,58550000,58550000,7326451,0,115744599
4;L;4,5;3454941/10000000,8626641/25000000;8,34549410,58550000,58550000,7326451,0,115744599;8,34506564,58742288,58742288,0,0,1050112
5;C;0,2;38862199/100000000;2,38,0,0,58,58,872;2,38,0,0,59,59,638
6;C;0,4;3454941/10000000;2,34,0,0,58,58,72;4,3454,0,0,5855,5855,517950
6;C;4,5;8626641/25000000;4,3450,0,0,5855,5855,437950;8,34506564,0,0,58742288,58742288,1050112
6;L;5,6;8626641/25000000,21609/62500;8,34506564,0,0,58742288,58742288,1050112;6,345744,0,0,588000,588000,0
6;L;6,7;21609/62500,1394761/4000000;6,345744,0,0,588000,588000,0;8,34869025,0,0,59050000,59050000,0
6;L;7,8;1394761/4000000,351649/1000000;8,34869025,0,0,59050000,59050000,0;6,351649,0,0,593000,593000,0
6;L;8,9;351649/1000000,1418481/4000000;6,351649,0,0,593000,593000,0;8,35462025,0,0,59550000,59550000,0
6;L;9,10;1418481/4000000,89401/250000;8,35462025,0,0,59550000,59550000,0;6,357604,0,0,598000,598000,0
6;L;10,11;89401/250000,1442401/4000000;6,357604,0,0,598000,598000,0;8,36060025,0,0,60050000,60050000,0
6;L;11,12;1442401/4000000,363609/1000000;8,36060025,0,0,60050000,60050000,0;6,363609,0,0,603000,603000,0
6;L;12,13;363609/1000000,1466521/4000000;6,363609,0,0,603000,603000,0;8,36663025,0,0,60550000,60550000,0
6;L;13,14;1466521/4000000,5776/15625;8,36663025,0,0,60550000,60550000,0;6,369664,0,0,608000,608000,0
6;L;14,15;5776/15625,1490841/4000000;6,369664,0,0,608000,608000,0;8,37271025,0,0,61050000,61050000,0
6;L;15,16;1490841/4000000,375769/1000000;8,37271025,0,0,61050000,61050000,0;6,375769,0,0,613000,613000,0
6;L;16,17;375769/1000000,1515361/4000000;6,375769,0,0,613000,613000,0;8,37884025,0,0,61550000,61550000,0
6;L;17,18;1515361/4000000,95481/250000;8,37884025,0,0,61550000,61550000,0;6,381924,0,0,618000,618000,0
6;L;18,19;95481/250000,1540081/4000000;6,381924,0,0,618000,618000,0;8,38502025,0,0,62050000,62050000,0
6;L;19,20;1540081/4000000,388129/1000000;8,38502025,0,0,62050000,62050000,0;6,388129,0,0,623000,623000,0
6;L;20,21;388129/1000000,1565001/4000000;6,388129,0,0,623000,623000,0;8,39125025,0,0,62550000,62550000,0
6;L;21,22;1565001/4000000,24649/62500;8,39125025,0,0,62550000,62550000,0;6,394384,0,0,628000,628000,0
6;L;22,23;24649/62500,1590121/4000000;6,394384,0,0,628000,628000,0;8,39753025,0,0,63050000,63050000,0
6;L;23,24;1590121/4000000,400689/1000000;8,39753025,0,0,63050000,63050000,0;6,400689,0,0,633000,633000,0
6;L;24,25;400689/1000000,40350691/100000000;6,400689,0,0,633000,633000,0;10,4035069100,0,0,6352219303,6352219303,1853188388382
6;L;25,26;40350691/100000000,1615441/4000000;10,4035069100,0,0,6352219303,6352219303,1853188388382;8,40386025,0,0,63550000,63550000,0
6;L;26,27;1615441/4000000,101761/250000;8,40386025,0,0,63550000,63550000,0;6,407044,0,0,638000,638000,0
6;L;27,28;101761/250000,1640961/4000000;6,407044,0,0,638000,638000,0;8,41024025,0,0,64050000,64050000,0
6;L;28,29;1640961/4000000,413449/1000000;8,41024025,0,0,64050000,64050000,0;6,413449,0,0,643000,643000,0
6;L;29,30;413449/1000000,1666681/4000000;6,413449,0,0,643000,643000,0;8,41667025,0,0,64550000,64550000,0
6;L;30,31;1666681/4000000,6561/15625;8,41667025,0,0,64550000,64550000,0;6,419904,0,0,648000,648000,0
6;L;31,32;6561/15625,1692601/4000000;6,419904,0,0,648000,648000,0;8,42315025,0,0,65050000,65050000,0
6;L;32,33;1692601/4000000,426409/1000000;8,42315025,0,0,65050000,65050000,0;6,426409,0,0,653000,653000,0
6;L;33,34;426409/1000000,1718721/4000000;6,426409,0,0,653000,653000,0;8,42968025,0,0,65550000,65550000,0
6;L;34,35;1718721/4000000,108241/250000;8,42968025,0,0,65550000,65550000,0;6,432964,0,0,658000,658000,0
6;L;35,36;108241/250000,1745041/4000000;6,432964,0,0,658000,658000,0;8,43626025,0,0,66050000,66050000,0
6;L;36,37;1745041/4000000,439569/1000000;8,43626025,0,0,66050000,66050000,0;6,439569,0,0,663000,663000,0
6;L;37,38;439569/1000000,1771561/4000000;6,439569,0,0,663000,663000,0;8,44289025,0,0,66550000,66550000,0
6;L;38,39;1771561/4000000,22227631/50000000;8,44289025,0,0,66550000,66550000,0;8,44455262,0,0,66674779,66674779,90602318
7;C;0,2;38862199/100000000;2,38,0,0,58,58,872;2,38,0,0,59,59,638
8;C;0,4;3454941/10000000;2,34,0,0,58,58,72;4,3454,0,0,5855,5855,517950
8;C;4,5;8626641/25000000;4,3450,0,0,5855,5855,437950;8,34506564,0,0,58742288,58742288,1050112
8;L;5,6;8626641/25000000,21609/62500;8,34506564,0,0,58742288,58742288,1050112;6,345744,0,0,588000,588000,0
8;L;6,7;21609/62500,1394761/4000000;6,345744,0,0,588000,588000,0;8,34869025,0,0,59050000,59050000,0
8;L;7,8;1394761/4000000,351649/1000000;8,34869025,0,0,59050000,59050000,0;6,351649,0,0,593000,593000,0
8;L;8,9;351649/1000000,1418481/4000000;6,351649,0,0,593000,593000,0;8,35462025,0,0,59550000,59550000,0
8;L;9,10;1418481/4000000,89401/250000;8,35462025,0,0,59550000,59550000,0;6,357604,0,0,598000,598000,0
8;L;10,11;89401/250000,1442401/4000000;6,357604,0,0,598000,598000,0;8,36060025,0,0,60050000,60050000,0
8;L;11,12;1442401/4000000,363609/1000000;8,36060025,0,0,60050000,60050000,0;6,363609,0,0,603000,603000,0
8;L;12,13;363609/1000000,1466521/4000000;6,363609,0,0,603000,603000,0;8,36663025,0,0,60550000,60550000,0
8;L;13,14;1466521/4000000,5776/15625;8,36663025,0,0,60550000,60550000,0;6,369664,0,0,608000,608000,0
8;L;14,15;5776/15625,1490841/4000000;6,369664,0,0,608000,608000,0;8,37271025,0,0,61050000,61050000,0
8;L;15,16;1490841/4000000,375769/1000000;8,37271025,0,0,61050000,61050000,0;6,375769,0,0,613000,613000,0
8;L;16,17;375769/1000000,1515361/4000000;6,375769,0,0,613000,613000,0;8,37884025,0,0,61550000,61550000,0
8;L;17,18;1515361/4000000,95481/250000;8,37884025,0,0,61550000,61550000,0;6,381924,0,0,618000,618000,0
8;L;18,19;95481/250000,1540081/4000000;6,381924,0,0,618000,618000,0;8,38502025,0,0,62050000,62050000,0
8;L;19,20;1540081/4000000,388129/1000000;8,38502025,0,0,62050000,62050000,0;6,388129,0,0,623000,623000,0
8;L;20,21;388129/1000000,1565001/4000000;6,388129,0,0,623000,623000,0;8,39125025,0,0,62550000,62550000,0
8;L;21,22;1565001/4000000,24649/62500;8,39125025,0,0,62550000,62550000,0;6,394384,0,0,628000,628000,0
8;L;22,23;24649/62500,1590121/4000000;6,394384,0,0,628000,628000,0;8,39753025,0,0,63050000,63050000,0
8;L;23,24;1590121/4000000,400689/1000000;8,39753025,0,0,63050000,63050000,0;6,400689,0,0,633000,633000,0
8;L;24,25;400689/1000000,40350691/100000000;6,400689,0,0,633000,633000,0;10,4035069100,0,0,6352219303,6352219303,1853188388382
8;L;25,26;40350691/100000000,1615441/4000000;10,4035069100,0,0,6352219303,6352219303,1853188388382;8,40386025,0,0,63550000,63550000,0
8;L;26,27;1615441/4000000,101761/250000;8,40386025,0,0,63550000,63550000,0;6,407044,0,0,638000,638000,0
8;L;27,28;101761/250000,1640961/4000000;6,407044,0,0,638000,638000,0;8,41024025,0,0,64050000,64050000,0
8;L;28,29;1640961/4000000,413449/1000000;8,41024025,0,0,64050000,64050000,0;6,413449,0,0,643000,643000,0
8;L;29,30;413449/1000000,1666681/4000000;6,413449,0,0,643000,643000,0;8,41667025,0,0,64550000,64550000,0
8;L;30,31;1666681/4000000,6561/15625;8,41667025,0,0,64550000,64550000,0;6,419904,0,0,648000,648000,0
8;L;31,32;6561/15625,1692601/4000000;6,419904,0,0,648000,648000,0;8,42315025,0,0,65050000,65050000,0
8;L;32,33;1692601/4000000,426409/1000000;8,42315025,0,0,65050000,65050000,0;6,426409,0,0,653000,653000,0
8;L;33,34;426409/1000000,1718721/4000000;6,426409,0,0,653000,653000,0;8,42968025,0,0,65550000,65550000,0
8;L;34,35;1718721/4000000,108241/250000;8,42968025,0,0,65550000,65550000,0;6,432964,0,0,658000,658000,0
8;L;35,36;108241/250000,1745041/4000000;6,432964,0,0,658000,658000,0;8,43626025,0,0,66050000,66050000,0
8;L;36,37;1745041/4000000,439569/1000000;8,43626025,0,0,66050000,66050000,0;6,439569,0,0,663000,663000,0
8;L;37,38;439569/1000000,1771561/4000000;6,439569,0,0,663000,663000,0;8,44289025,0,0,66550000,66550000,0
8;L;38,39;1771561/4000000,22227631/50000000;8,44289025,0,0,66550000,66550000,0;8,44455262,0,0,66674779,66674779,90602318
9;C;2,4;3454941/10000000;4,3454,5813,5813,0,0,1498062;4,3454,5855,5855,0,0,517950
9;C;4,5;8626641/25000000;4,3450,5855,5855,0,0,437950;8,34506564,58742288,58742288,0,0,1050112
9;L;5,6;8626641/25000000,21609/62500;8,34506564,58742288,58742288,0,0,1050112;6,345744,588000,588000,0,0,0
9;L;6,7;21609/62500,1394761/4000000;6,345744,588000,588000,0,0,0;8,34869025,59050000,59050000,0,0,0
9;L;7,8;1394761/4000000,351649/1000000;8,34869025,59050000,59050000,0,0,0;6,351649,593000,593000,0,0,0
9;L;8,9;351649/1000000,1418481/4000000;6,351649,593000,593000,0,0,0;8,35462025,59550000,59550000,0,0,0
9;L;9,10;1418481/4000000,89401/250000;8,35462025,59550000,59550000,0,0,0;6,357604,598000,598000,0,0,0
9;L;10,11;89401/250000,1442401/4000000;6,357604,598000,598000,0,0,0;8,36060025,60050000,60050000,0,0,0
9;L;11,12;1442401/4000000,363609/1000000;8,36060025,60050000,60050000,0,0,0;6,363609,603000,603000,0,0,0
9;L;12,13;363609/1000000,1466521/4000000;6,363609,603000,603000,0,0,0;8,36663025,60550000,60550000,0,0,0
9;L;13,14;1466521/4000000,5776/15625;8,36663025,60550000,60550000,0,0,0;6,369664,608000,608000,0,0,0
9;L;14,15;5776/15625,1490841/4000000;6,369664,608000,608000,0,0,0;8,37271025,61050000,61050000,0,0,0
9;L;15,16;1490841/4000000,375769/1000000;8,37271025,61050000,61050000,0,0,0;6,375769,613000,613000,0,0,0
9;L;16,17;375769/1000000,1515361/4000000;6,375769,613000,613000,0,0,0;8,37884025,61550000,61550000,0,0,0
9;L;17,18;1515361/4000000,95481/250000;8,37884025,61550000,61550000,0,0,0;6,381924,618000,618000,0,0,0
9;L;18,19;95481/250000,1540081/4000000;6,381924,618000,618000,0,0,0;8,38502025,62050000,62050000,0,0,0
9;L;19,20;1540081/4000000,388129/1000000;8,38502025,62050000,62050000,0,0,0;6,388129,623000,623000,0,0,0
9;L;20,21;388129/1000000,1565001/4000000;6,388129,623000,623000,0,0,0;8,39125025,62550000,62550000,0,0,0
9;L;21,22;1565001/4000000,24649/62500;8,39125025,62550000,62550000,0,0,0;6,394384,628000,628000,0,0,0
9;L;22,23;24649/62500,1590121/4000000;6,394384,628000,628000,0,0,0;8,39753025,63050000,63050000,0,0,0
9;L;23,24;1590121/4000000,400689/1000000;8,39753025,63050000,63050000,0,0,0;6,400689,633000,633000,0,0,0
9;L;24,25;400689/1000000,40350691/100000000;6,400689,633000,633000,0,0,0;10,4035069100,6352219303,6352219303,0,0,1853188388382
9;L;25,26;40350691/100000000,1615441/4000000;10,4035069100,6352219303,6352219303,0,0,1853188388382;8,40386025,63550000,63550000,0,0,0
9;L;26,27;1615441/4000000,101761/250000;8,40386025,63550000,63550000,0,0,0;6,407044,638000,638000,0,0,0
9;L;27,28;101761/250000,1640961/4000000;6,407044,638000,638000,0,0,0;8,41024025,64050000,64050000,0,0,0
9;L;28,29;1640961/4000000,413449/1000000;8,41024025,64050000,64050000,0,0,0;6,413449,643000,643000,0,0,0
9;L;29,30;413449/1000000,1666681/4000000;6,413449,643000,643000,0,0,0;8,41667025,64550000,64550000,0,0,0
9;L;30,31;1666681/4000000,6561/15625;8,41667025,64550000,64550000,0,0,0;6,419904,648000,648000,0,0,0
9;L;31,32;6561/15625,1692601/4000000;6,419904,648000,648000,0,0,0;8,42315025,65050000,65050000,0,0,0
9;L;32,33;1692601/4000000,426409/1000000;8,42315025,65050000,65050000,0,0,0;6,426409,653000,653000,0,0,0
9;L;33,34;426409/1000000,1718721/4000000;6,426409,653000,653000,0,0,0;8,42968025,65550000,65550000,0,0,0
9;L;34,35;1718721/4000000,108241/250000;8,42968025,65550000,65550000,0,0,0;6,432964,658000,658000,0,0,0
9;L;35,36;108241/250000,1745041/4000000;6,432964,658000,658000,0,0,0;8,43626025,66050000,66050000,0,0,0
9;L;36,37;1745041/4000000,439569/1000000;8,43626025,66050000,66050000,0,0,0;6,439569,663000,663000,0,0,0
9;L;37,38;439569/1000000,1771561/4000000;6,439569,663000,663000,0,0,0;8,44289025,66550000,66550000,0,0,0
9;L;38,39;1771561/4000000,22227631/50000000;8,44289025,66550000,66550000,0,0,0;8,44455262,66674779,66674779,0,0,90602318
10;C;0,2;38862199/100000000;2,38,0,0,23,58,3707;2,38,0,0,23,59,3590
11;C;0,25;8626641/25000000;2,34,0,0,13,58,3267;2,34,0,0,14,64,2508
12;C;0,2;38862199/100000000;2,38,0,0,22,58,3752;2,38,0,0,23,59,3590
13;C;0,25;8626641/25000000;2,34,0,0,8,58,3372;2,34,0,0,14,64,2508
14;C;2,25;8626641/25000000;2,34,59,23,0,0,2790;2,34,64,14,0,0,2508
MASS SLACK NUMERATOR 11092589760826767580220457573352834481638319
BIN 9: LOW; (127/112,8/7]; gamma0=5793/10000; mass ceiling=98752979/100000000.
GAMMA 0=5793/10000;1=2909/5000;2=86335200000/148211894567;3=5843/10000;4=1467/2500;5=5893/10000;6=35973000000/60934201967;7=2959/5000;8=5943/10000;9=373/625;10=5993/10000;11=3009/5000;12=6043/10000;13=1517/2500;14=6093/10000;15=3059/5000;16=6143/10000;17=771/1250;18=6193/10000;19=3109/5000;20=6243/10000;21=1567/2500;22=6293/10000;23=3159/5000;24=6343/10000;25=33724687500/52982152021;26=398/625;27=6393/10000;28=3209/5000;29=6443/10000;30=1617/2500;31=6493/10000;32=3259/5000;33=6543/10000;34=821/1250;35=6593/10000;36=3309/5000;37=6643/10000;38=1667/2500;39=48563550000/72668594567;40=6693/10000;41=3359/5000;42=6743/10000;43=423/625;44=6793/10000;45=3409/5000;46=6843/10000;47=1717/2500;48=6893/10000;49=3459/5000;50=6943/10000;51=871/1250;52=6993/10000;53=3509/5000;54=7043/10000;55=1767/2500;56=7093/10000;57=3559/5000;58=7143/10000;59=448/625;60=7193/10000;61=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38855219,39191307;1,2,39191307,39287283;2,3,39287283,36978019;3,4,36978019,35173242;4,5,35173242,34728731;5,6,34728731,34852270;6,7,34852270,35022724;7,8,35022724,35319249;8,9,35319249,35617024;9,10,35617024,35916049;10,11,35916049,36216324;11,12,36216324,36517849;12,13,36517849,36820624;13,14,36820624,37124649;14,15,37124649,37429924;15,16,37429924,37736449;16,17,37736449,38044224;17,18,38044224,38353249;18,19,38353249,38663524;19,20,38663524,38975049;20,21,38975049,39287824;21,22,39287824,39601849;22,23,39601849,39917124;23,24,39917124,40233649;24,25,40233649,40516944;25,26,40516944,40551424;26,27,40551424,40870449;27,28,40870449,41190724;28,29,41190724,41512249;29,30,41512249,41835024;30,31,41835024,42159049;31,32,42159049,42484324;32,33,42484324,42810849;33,34,42810849,43138624;34,35,43138624,43467649;35,36,43467649,43797924;36,37,43797924,44129449;37,38,44129449,44462224;38,39,44462224,44660886;39,40,0,0;40,41,0,0;41,42,0,0;42,43,0,0;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
0;1,4,2,3;11107821137861,12681755944200000000000000,47167176036183,49
1;1,4,2,3;11107821137861,9511316958150000000000000,301776214475722,49
2;1,4,2,3;11107821137861,2377829239537500000000000,282998504528572,49
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;0;V;3,1
1;0;V;2,3
2;0;E;4,1
3;0;E;4,2
4;0;E;4,3
5;1;V;3,1
6;1;V;2,3
7;1;E;4,1
8;1;E;4,2
9;1;E;4,3
10;2;V;3,1
11;2;V;2,3
12;2;E;4,1
13;2;E;4,2
14;2;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
0:V/3,1/0/0/2;V/2,3/1/0/6;E/4,1/2/0/2;E/4,2/3/0/6;E/4,3/4/2/6
1:V/3,1/5/0/2;V/2,3/6/0/39;E/4,1/7/0/2;E/4,2/8/0/39;E/4,3/9/2/39
2:V/3,1/10/0/2;V/2,3/11/0/25;E/4,1/12/0/2;E/4,2/13/0/25;E/4,3/14/2/25
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;38855219/100000000,39191307/100000000;10,3885521900,603437500,3198218750,5793000000,5793000000,10742187500;8,39191307,6060417,32120209,58180000,58180000,119582430
0;L;1,2;39191307/100000000,39287283/100000000;8,39191307,6060417,32120209,58180000,58180000,119582430;10,3928728300,606783284,3215951402,5825119520,5825119520,1781662348940
1;C;0,3;36978019/100000000;2,36,0,0,58,58,472;2,36,0,0,59,59,238
1;C;3,4;17586621/50000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
1;C;4,5;34728731/100000000;4,3472,0,0,5868,5868,573152;6,347287,0,0,589300,589300,25020000
1;L;5,6;34728731/100000000,3485227/10000000;6,347287,0,0,589300,589300,25020000;8,34852270,0,0,59035811,59035811,39144558
2;L;0,1;38855219/100000000,39191307/100000000;4,3885,575,3184,5793,5793,113821;4,3919,600,3209,5818,5818,24071
2;L;1,2;39191307/100000000,39287283/100000000;4,3919,600,3209,5818,5818,24071;10,3928728300,606783284,3215951402,5825119520,5825119520,1781662348940
3;C;0,3;36978019/100000000;2,36,0,0,58,58,472;2,36,0,0,59,59,238
3;C;3,4;17586621/50000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
3;C;4,5;34728731/100000000;4,3472,0,0,5868,5868,573152;6,347287,0,0,589300,589300,25020000
3;L;5,6;34728731/100000000,3485227/10000000;6,347287,0,0,589300,589300,25020000;8,34852270,0,0,59035811,59035811,39144558
4;L;2,3;39287283/100000000,36978019/100000000;10,3928728300,5825119520,5825119520,3215951402,606783284,1781662348940;8,36978019,58430000,58430000,23821712,0,37389056
4;L;3,4;36978019/100000000,17586621/50000000;8,36978019,58430000,58430000,23821712,0,37389056;8,35173242,58680000,58680000,12164025,0,95799375
4;L;4,5;17586621/50000000,34728731/100000000;8,35173242,58680000,58680000,12164025,0,95799375;8,34728731,58930000,58930000,506337,0,22842431
4;L;5,6;34728731/100000000,3485227/10000000;8,34728731,58930000,58930000,506337,0,22842431;8,34852270,59035811,59035811,0,0,39144558
5;C;0,2;38855219/100000000;2,38,0,0,58,58,872;2,38,0,0,59,59,638
6;C;0,4;17586621/50000000;2,35,0,0,58,58,272;2,35,0,0,59,59,38
6;C;4,5;34728731/100000000;4,3472,0,0,5868,5868,573152;6,347287,0,0,589300,589300,25020000
6;L;5,6;34728731/100000000,3485227/10000000;6,347287,0,0,589300,589300,25020000;8,34852270,0,0,59035811,59035811,39144558
6;L;6,7;3485227/10000000,8755681/25000000;8,34852270,0,0,59035811,59035811,39144558;8,35022724,0,0,59180000,59180000,0
6;L;7,8;8755681/25000000,35319249/100000000;8,35022724,0,0,59180000,59180000,0;8,35319249,0,0,59430000,59430000,0
6;L;8,9;35319249/100000000,139129/390625;8,35319249,0,0,59430000,59430000,0;8,35617024,0,0,59680000,59680000,0
6;L;9,10;139129/390625,35916049/100000000;8,35617024,0,0,59680000,59680000,0;8,35916049,0,0,59930000,59930000,0
6;L;10,11;35916049/100000000,9054081/25000000;8,35916049,0,0,59930000,59930000,0;8,36216324,0,0,60180000,60180000,0
6;L;11,12;9054081/25000000,36517849/100000000;8,36216324,0,0,60180000,60180000,0;8,36517849,0,0,60430000,60430000,0
6;L;12,13;36517849/100000000,2301289/6250000;8,36517849,0,0,60430000,60430000,0;8,36820624,0,0,60680000,60680000,0
6;L;13,14;2301289/6250000,37124649/100000000;8,36820624,0,0,60680000,60680000,0;8,37124649,0,0,60930000,60930000,0
6;L;14,15;37124649/100000000,9357481/25000000;8,37124649,0,0,60930000,60930000,0;8,37429924,0,0,61180000,61180000,0
6;L;15,16;9357481/25000000,37736449/100000000;8,37429924,0,0,61180000,61180000,0;8,37736449,0,0,61430000,61430000,0
6;L;16,17;37736449/100000000,594441/1562500;8,37736449,0,0,61430000,61430000,0;8,38044224,0,0,61680000,61680000,0
6;L;17,18;594441/1562500,38353249/100000000;8,38044224,0,0,61680000,61680000,0;8,38353249,0,0,61930000,61930000,0
6;L;18,19;38353249/100000000,9665881/25000000;8,38353249,0,0,61930000,61930000,0;8,38663524,0,0,62180000,62180000,0
6;L;19,20;9665881/25000000,38975049/100000000;8,38663524,0,0,62180000,62180000,0;8,38975049,0,0,62430000,62430000,0
6;L;20,21;38975049/100000000,2455489/6250000;8,38975049,0,0,62430000,62430000,0;8,39287824,0,0,62680000,62680000,0
6;L;21,22;2455489/6250000,39601849/100000000;8,39287824,0,0,62680000,62680000,0;8,39601849,0,0,62930000,62930000,0
6;L;22,23;39601849/100000000,9979281/25000000;8,39601849,0,0,62930000,62930000,0;8,39917124,0,0,63180000,63180000,0
6;L;23,24;9979281/25000000,40233649/100000000;8,39917124,0,0,63180000,63180000,0;8,40233649,0,0,63430000,63430000,0
6;L;24,25;40233649/100000000,2532309/6250000;8,40233649,0,0,63430000,63430000,0;10,4051694400,0,0,6365292125,6365292125,326825968750
6;L;25,26;2532309/6250000,158404/390625;10,4051694400,0,0,6365292125,6365292125,326825968750;8,40551424,0,0,63680000,63680000,0
6;L;26,27;158404/390625,40870449/100000000;8,40551424,0,0,63680000,63680000,0;8,40870449,0,0,63930000,63930000,0
6;L;27,28;40870449/100000000,10297681/25000000;8,40870449,0,0,63930000,63930000,0;8,41190724,0,0,64180000,64180000,0
6;L;28,29;10297681/25000000,41512249/100000000;8,41190724,0,0,64180000,64180000,0;8,41512249,0,0,64430000,64430000,0
6;L;29,30;41512249/100000000,2614689/6250000;8,41512249,0,0,64430000,64430000,0;8,41835024,0,0,64680000,64680000,0
6;L;30,31;2614689/6250000,42159049/100000000;8,41835024,0,0,64680000,64680000,0;8,42159049,0,0,64930000,64930000,0
6;L;31,32;42159049/100000000,10621081/25000000;8,42159049,0,0,64930000,64930000,0;8,42484324,0,0,65180000,65180000,0
6;L;32,33;10621081/25000000,42810849/100000000;8,42484324,0,0,65180000,65180000,0;8,42810849,0,0,65430000,65430000,0
6;L;33,34;42810849/100000000,674041/1562500;8,42810849,0,0,65430000,65430000,0;8,43138624,0,0,65680000,65680000,0
6;L;34,35;674041/1562500,43467649/100000000;8,43138624,0,0,65680000,65680000,0;8,43467649,0,0,65930000,65930000,0
6;L;35,36;43467649/100000000,10949481/25000000;8,43467649,0,0,65930000,65930000,0;8,43797924,0,0,66180000,66180000,0
6;L;36,37;10949481/25000000,44129449/100000000;8,43797924,0,0,66180000,66180000,0;8,44129449,0,0,66430000,66430000,0
6;L;37,38;44129449/100000000,2778889/6250000;8,44129449,0,0,66430000,66430000,0;8,44462224,0,0,66680000,66680000,0
6;L;38,39;2778889/6250000,22330443/50000000;8,44462224,0,0,66680000,66680000,0;10,4466088600,0,0,6682880038,6682880038,795402237112
7;C;0,2;38855219/100000000;2,38,0,0,58,58,872;2,38,0,0,59,59,638
8;C;0,4;17586621/50000000;2,35,0,0,58,58,272;2,35,0,0,59,59,38
8;C;4,5;34728731/100000000;4,3472,0,0,5868,5868,573152;6,347287,0,0,589300,589300,25020000
8;L;5,6;34728731/100000000,3485227/10000000;6,347287,0,0,589300,589300,25020000;8,34852270,0,0,59035811,59035811,39144558
8;L;6,7;3485227/10000000,8755681/25000000;8,34852270,0,0,59035811,59035811,39144558;8,35022724,0,0,59180000,59180000,0
8;L;7,8;8755681/25000000,35319249/100000000;8,35022724,0,0,59180000,59180000,0;8,35319249,0,0,59430000,59430000,0
8;L;8,9;35319249/100000000,139129/390625;8,35319249,0,0,59430000,59430000,0;8,35617024,0,0,59680000,59680000,0
8;L;9,10;139129/390625,35916049/100000000;8,35617024,0,0,59680000,59680000,0;8,35916049,0,0,59930000,59930000,0
8;L;10,11;35916049/100000000,9054081/25000000;8,35916049,0,0,59930000,59930000,0;8,36216324,0,0,60180000,60180000,0
8;L;11,12;9054081/25000000,36517849/100000000;8,36216324,0,0,60180000,60180000,0;8,36517849,0,0,60430000,60430000,0
8;L;12,13;36517849/100000000,2301289/6250000;8,36517849,0,0,60430000,60430000,0;8,36820624,0,0,60680000,60680000,0
8;L;13,14;2301289/6250000,37124649/100000000;8,36820624,0,0,60680000,60680000,0;8,37124649,0,0,60930000,60930000,0
8;L;14,15;37124649/100000000,9357481/25000000;8,37124649,0,0,60930000,60930000,0;8,37429924,0,0,61180000,61180000,0
8;L;15,16;9357481/25000000,37736449/100000000;8,37429924,0,0,61180000,61180000,0;8,37736449,0,0,61430000,61430000,0
8;L;16,17;37736449/100000000,594441/1562500;8,37736449,0,0,61430000,61430000,0;8,38044224,0,0,61680000,61680000,0
8;L;17,18;594441/1562500,38353249/100000000;8,38044224,0,0,61680000,61680000,0;8,38353249,0,0,61930000,61930000,0
8;L;18,19;38353249/100000000,9665881/25000000;8,38353249,0,0,61930000,61930000,0;8,38663524,0,0,62180000,62180000,0
8;L;19,20;9665881/25000000,38975049/100000000;8,38663524,0,0,62180000,62180000,0;8,38975049,0,0,62430000,62430000,0
8;L;20,21;38975049/100000000,2455489/6250000;8,38975049,0,0,62430000,62430000,0;8,39287824,0,0,62680000,62680000,0
8;L;21,22;2455489/6250000,39601849/100000000;8,39287824,0,0,62680000,62680000,0;8,39601849,0,0,62930000,62930000,0
8;L;22,23;39601849/100000000,9979281/25000000;8,39601849,0,0,62930000,62930000,0;8,39917124,0,0,63180000,63180000,0
8;L;23,24;9979281/25000000,40233649/100000000;8,39917124,0,0,63180000,63180000,0;8,40233649,0,0,63430000,63430000,0
8;L;24,25;40233649/100000000,2532309/6250000;8,40233649,0,0,63430000,63430000,0;10,4051694400,0,0,6365292125,6365292125,326825968750
8;L;25,26;2532309/6250000,158404/390625;10,4051694400,0,0,6365292125,6365292125,326825968750;8,40551424,0,0,63680000,63680000,0
8;L;26,27;158404/390625,40870449/100000000;8,40551424,0,0,63680000,63680000,0;8,40870449,0,0,63930000,63930000,0
8;L;27,28;40870449/100000000,10297681/25000000;8,40870449,0,0,63930000,63930000,0;8,41190724,0,0,64180000,64180000,0
8;L;28,29;10297681/25000000,41512249/100000000;8,41190724,0,0,64180000,64180000,0;8,41512249,0,0,64430000,64430000,0
8;L;29,30;41512249/100000000,2614689/6250000;8,41512249,0,0,64430000,64430000,0;8,41835024,0,0,64680000,64680000,0
8;L;30,31;2614689/6250000,42159049/100000000;8,41835024,0,0,64680000,64680000,0;8,42159049,0,0,64930000,64930000,0
8;L;31,32;42159049/100000000,10621081/25000000;8,42159049,0,0,64930000,64930000,0;8,42484324,0,0,65180000,65180000,0
8;L;32,33;10621081/25000000,42810849/100000000;8,42484324,0,0,65180000,65180000,0;8,42810849,0,0,65430000,65430000,0
8;L;33,34;42810849/100000000,674041/1562500;8,42810849,0,0,65430000,65430000,0;8,43138624,0,0,65680000,65680000,0
8;L;34,35;674041/1562500,43467649/100000000;8,43138624,0,0,65680000,65680000,0;8,43467649,0,0,65930000,65930000,0
8;L;35,36;43467649/100000000,10949481/25000000;8,43467649,0,0,65930000,65930000,0;8,43797924,0,0,66180000,66180000,0
8;L;36,37;10949481/25000000,44129449/100000000;8,43797924,0,0,66180000,66180000,0;8,44129449,0,0,66430000,66430000,0
8;L;37,38;44129449/100000000,2778889/6250000;8,44129449,0,0,66430000,66430000,0;8,44462224,0,0,66680000,66680000,0
8;L;38,39;2778889/6250000,22330443/50000000;8,44462224,0,0,66680000,66680000,0;10,4466088600,0,0,6682880038,6682880038,795402237112
9;C;2,4;17586621/50000000;2,35,59,59,0,0,38;2,35,59,59,0,0,38
9;C;4,5;34728731/100000000;4,3472,5868,5868,0,0,573152;6,347287,589300,589300,0,0,25020000
9;L;5,6;34728731/100000000,3485227/10000000;6,347287,589300,589300,0,0,25020000;8,34852270,59035811,59035811,0,0,39144558
9;L;6,7;3485227/10000000,8755681/25000000;8,34852270,59035811,59035811,0,0,39144558;8,35022724,59180000,59180000,0,0,0
9;L;7,8;8755681/25000000,35319249/100000000;8,35022724,59180000,59180000,0,0,0;8,35319249,59430000,59430000,0,0,0
9;L;8,9;35319249/100000000,139129/390625;8,35319249,59430000,59430000,0,0,0;8,35617024,59680000,59680000,0,0,0
9;L;9,10;139129/390625,35916049/100000000;8,35617024,59680000,59680000,0,0,0;8,35916049,59930000,59930000,0,0,0
9;L;10,11;35916049/100000000,9054081/25000000;8,35916049,59930000,59930000,0,0,0;8,36216324,60180000,60180000,0,0,0
9;L;11,12;9054081/25000000,36517849/100000000;8,36216324,60180000,60180000,0,0,0;8,36517849,60430000,60430000,0,0,0
9;L;12,13;36517849/100000000,2301289/6250000;8,36517849,60430000,60430000,0,0,0;8,36820624,60680000,60680000,0,0,0
9;L;13,14;2301289/6250000,37124649/100000000;8,36820624,60680000,60680000,0,0,0;8,37124649,60930000,60930000,0,0,0
9;L;14,15;37124649/100000000,9357481/25000000;8,37124649,60930000,60930000,0,0,0;8,37429924,61180000,61180000,0,0,0
9;L;15,16;9357481/25000000,37736449/100000000;8,37429924,61180000,61180000,0,0,0;8,37736449,61430000,61430000,0,0,0
9;L;16,17;37736449/100000000,594441/1562500;8,37736449,61430000,61430000,0,0,0;8,38044224,61680000,61680000,0,0,0
9;L;17,18;594441/1562500,38353249/100000000;8,38044224,61680000,61680000,0,0,0;8,38353249,61930000,61930000,0,0,0
9;L;18,19;38353249/100000000,9665881/25000000;8,38353249,61930000,61930000,0,0,0;8,38663524,62180000,62180000,0,0,0
9;L;19,20;9665881/25000000,38975049/100000000;8,38663524,62180000,62180000,0,0,0;8,38975049,62430000,62430000,0,0,0
9;L;20,21;38975049/100000000,2455489/6250000;8,38975049,62430000,62430000,0,0,0;8,39287824,62680000,62680000,0,0,0
9;L;21,22;2455489/6250000,39601849/100000000;8,39287824,62680000,62680000,0,0,0;8,39601849,62930000,62930000,0,0,0
9;L;22,23;39601849/100000000,9979281/25000000;8,39601849,62930000,62930000,0,0,0;8,39917124,63180000,63180000,0,0,0
9;L;23,24;9979281/25000000,40233649/100000000;8,39917124,63180000,63180000,0,0,0;8,40233649,63430000,63430000,0,0,0
9;L;24,25;40233649/100000000,2532309/6250000;8,40233649,63430000,63430000,0,0,0;10,4051694400,6365292125,6365292125,0,0,326825968750
9;L;25,26;2532309/6250000,158404/390625;10,4051694400,6365292125,6365292125,0,0,326825968750;8,40551424,63680000,63680000,0,0,0
9;L;26,27;158404/390625,40870449/100000000;8,40551424,63680000,63680000,0,0,0;8,40870449,63930000,63930000,0,0,0
9;L;27,28;40870449/100000000,10297681/25000000;8,40870449,63930000,63930000,0,0,0;8,41190724,64180000,64180000,0,0,0
9;L;28,29;10297681/25000000,41512249/100000000;8,41190724,64180000,64180000,0,0,0;8,41512249,64430000,64430000,0,0,0
9;L;29,30;41512249/100000000,2614689/6250000;8,41512249,64430000,64430000,0,0,0;8,41835024,64680000,64680000,0,0,0
9;L;30,31;2614689/6250000,42159049/100000000;8,41835024,64680000,64680000,0,0,0;8,42159049,64930000,64930000,0,0,0
9;L;31,32;42159049/100000000,10621081/25000000;8,42159049,64930000,64930000,0,0,0;8,42484324,65180000,65180000,0,0,0
9;L;32,33;10621081/25000000,42810849/100000000;8,42484324,65180000,65180000,0,0,0;8,42810849,65430000,65430000,0,0,0
9;L;33,34;42810849/100000000,674041/1562500;8,42810849,65430000,65430000,0,0,0;8,43138624,65680000,65680000,0,0,0
9;L;34,35;674041/1562500,43467649/100000000;8,43138624,65680000,65680000,0,0,0;8,43467649,65930000,65930000,0,0,0
9;L;35,36;43467649/100000000,10949481/25000000;8,43467649,65930000,65930000,0,0,0;8,43797924,66180000,66180000,0,0,0
9;L;36,37;10949481/25000000,44129449/100000000;8,43797924,66180000,66180000,0,0,0;8,44129449,66430000,66430000,0,0,0
9;L;37,38;44129449/100000000,2778889/6250000;8,44129449,66430000,66430000,0,0,0;8,44462224,66680000,66680000,0,0,0
9;L;38,39;2778889/6250000,22330443/50000000;8,44462224,66680000,66680000,0,0,0;10,4466088600,6682880038,6682880038,0,0,795402237112
10;C;0,2;38855219/100000000;2,38,0,0,23,58,3707;2,38,0,0,23,59,3590
11;C;0,25;34728731/100000000;2,34,0,0,13,58,3267;2,34,0,0,14,64,2508
12;C;0,2;38855219/100000000;2,38,0,0,22,58,3752;2,38,0,0,23,59,3590
13;C;0,25;34728731/100000000;2,34,0,0,8,58,3372;2,34,0,0,14,64,2508
14;C;2,25;34728731/100000000;2,34,59,23,0,0,2790;2,34,64,14,0,0,2508
MASS SLACK NUMERATOR 1161299300784237446794858151900430756001387297
BIN 10: PATH0; (8/7,81/70]; gamma0=1453/2500; mass ceiling=96448951/100000000.
GAMMA 0=1453/2500;1=5837/10000;2=2931/5000;3=87414390000/149055644567;4=85975470000/146177804567;5=5887/10000;6=739/1250;7=5937/10000;8=48203820000/81103726757;9=80039925000/134306714567;10=2981/5000;11=5283534375/8852178409;12=5987/10000;13=44066925000/73512344567;14=37052190000/61777951967;15=1503/2500;16=6037/10000;17=74104380000/122435624567;18=3031/5000;19=78541050000/129205982987;20=6087/10000;21=382/625;22=6137/10000;23=3081/5000;24=6187/10000;25=1553/2500;26=6237/10000;27=3131/5000;28=6287/10000;29=789/1250;30=6337/10000;31=3181/5000;32=6387/10000;33=1603/2500;34=34264282500/53404027021;35=6437/10000;36=3231/5000;37=6487/10000;38=407/625;39=6537/10000;40=3281/5000;41=6587/10000;42=53359950000/80946764567;43=1653/2500;44=6637/10000;45=3331/5000;46=6687/10000;47=839/1250;48=6737/10000;49=49642740000/73512344567;50=3381/5000;51=6787/10000;52=1703/2500;53=6837/10000;54=3431/5000;55=6887/10000;56=432/625;57=6937/10000;58=3481/5000;59=6987/10000;60=1753/2500;61=7037/10000;62=3531/5000;63=7087/10000;64=889/1250;65=7137/10000;66=3581/5000;67=7187/10000;68=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40449859,40785640;1,2,40785640,41124264;2,3,41124264,41158929;3,4,41158929,38383319;4,5,38383319,37678638;5,6,37678638,35557764;6,7,35557764,35247969;7,8,35247969,35324929;8,9,35324929,35515497;9,10,35515497,35545444;10,11,35545444,35624499;11,12,35624499,35844169;12,13,35844169,35933949;13,14,35933949,35971683;14,15,35971683,36144144;15,16,36144144,36445369;16,17,36445369,36632973;17,18,36632973,36398439;18,19,36398439,35990163;19,20,35990163,35791763;20,21,35791763,35202017;21,22,35202017,34629203;22,23,34629203,34073319;23,24,34073319,33534367;24,25,33534367,33012346;25,26,33012346,32507255;26,27,32507255,32019096;27,28,32019096,31547868;28,29,31547868,31093570;29,30,31093570,30656204;30,31,30656204,30235769;31,32,30235769,29832265;32,33,29832265,29445692;33,34,29445692,29384684;34,35,29384684,29076050;35,36,29076050,28723339;36,37,28723339,28387559;37,38,28387559,28068710;38,39,28068710,27766792;39,40,27766792,27481805;40,41,27481805,27213749;41,42,27213749,27162369;42,43,27162369,26562956;43,44,26562956,25829316;44,45,25829316,25112224;45,46,25112224,24411679;46,47,24411679,23920203;47,48,23920203,23860469;48,49,23860469,23833253;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0;65,66,0,0;66,67,0,0;67,68,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;127236221417/37771650000,1/3,149055644567/75543300000;-153625101555851
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;134/105,5/3,103/210;-24
10;6;1;-1
11;2,3,7;47/42,4/3,103/210;-37
14;6;1;-1
15;2,3,10;47/42,4/3,103/210;-37
17;2,3,5;9/35,11/3,103/210;-17
18;1,4,8;90870516167/25181100000,4/3,149055644567/75543300000;-90672351555851
20;6,8;10/3,10/3;-10
21;8;1;-1
25;2,3,7;101/105,1,103/210;-2
26;8;1;-1
27;2,3,10;47/42,4/3,103/210;-37
29;1,3,9;107/105,10/3,81/70;-107
30;1,4,11;90870516167/25181100000,4/3,149055644567/75543300000;-90672351555851
32;6,11;10/3,10/3;-10
33;11;1;-1
37;2,3,10;101/105,1,103/210;-2
38;11;1;-1
39;2,3,7;47/42,4/3,103/210;-37
41;1,3,12;107/105,10/3,81/70;-107
42;1,4,14;127236221417/37771650000,1/3,149055644567/75543300000;-153625101555851
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;47/42,4/3,103/210;-37
56;2,3,7;47/42,4/3,103/210;-37
58;2,3,10;47/42,4/3,103/210;-37
59;2,3,13;9/35,11/3,103/210;-17
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;239/105,5/3,23/35;-37
70;6;1;-1
74;6;1;-1
77;2,3,5;44/35,4,23/35;-5
78;1,4,8;132268244567/25181100000,1/3,149055644567/75543300000;-185101476555851
80;6,8;10/3,10/3;-10
81;8;1;-1
86;8;1;-1
89;1,3,9;107/105,10/3,81/70;-107
90;1,4,11;132268244567/25181100000,1/3,149055644567/75543300000;-185101476555851
92;6,11;10/3,10/3;-10
93;11;1;-1
98;11;1;-1
101;1,3,12;107/105,10/3,81/70;-107
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;239/105,5/3,23/35;-37
119;2,3,13;44/35,4,23/35;-5
120;0,1,6;5/3,2,1;-1
121;1,4,6;19660748423/4721456250,5/3,149055644567/75543300000;-59195976555851
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;344/105,13/6,127/140;-37
130;6;1;-1
132;1,4,6;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
134;6;1;-1
137;2,3,5;79/35,5,127/140;-13
138;0,1,8;2/3,3,1;-2
139;1,4,8;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;45783756617/12590550000,11/3,149055644567/75543300000;-43457789055851
144;1,4,8;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
146;8;1;-1
149;1,3,9;107/105,10/3,81/70;-107
150;0,1,11;2/3,3,1;-2
151;1,4,11;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;45783756617/12590550000,11/3,149055644567/75543300000;-43457789055851
156;1,4,11;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
158;11;1;-1
161;1,3,12;107/105,10/3,81/70;-107
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;58927451447/15108660000,8/3,149055644567/75543300000;-48703851555851
169;14;1;-1
171;1,4,14;19660748423/4721456250,5/3,149055644567/75543300000;-59195976555851
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;344/105,13/6,127/140;-37
179;2,3,13;79/35,5,127/140;-13
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,2,3;137068641090430,9511316958150000000000000,602093266309290,9800
4;1,4,6,3;137068641090430,3499240373346528691020000,232929116597856,3514
5;5,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
12;1,4,6,3;137068641090430,3499240373346528691020000,232929116597856,3514
13;5,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
16;5,4,2,3;93304225772765,557631768356206072200000,602093266309290,3255
19;1,4,8,3;137068641090430,3499240373346528691020000,232929116597856,3514
22;1,4,8,3;137068641090430,2567028615086420767800000,93304225772765,3815
23;7,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
24;1,4,8,3;137068641090430,3499240373346528691020000,232929116597856,3514
28;7,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
31;1,4,11,3;137068641090430,3499240373346528691020000,232929116597856,3514
34;1,4,11,3;137068641090430,2567028615086420767800000,93304225772765,3815
35;10,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
36;1,4,11,3;137068641090430,3499240373346528691020000,232929116597856,3514
40;10,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
44;1,4,14,3;137068641090430,3499240373346528691020000,232929116597856,3514
48;1,4,14,3;137068641090430,3499240373346528691020000,232929116597856,3514
50;13,4,2,3;93304225772765,557631768356206072200000,602093266309290,3255
51;1,4,2,3;137068641090430,9511316958150000000000000,602093266309290,9800
53;13,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
57;13,4,2,3;232929116597856,264085667566835464980000,602093266309290,1218
61;1,4,6,3;137068641090430,1330814151430440575850000,773008687935645,1295
64;1,4,6,3;137068641090430,645845285901528691020000,415981123668516,574
65;5,4,2,9,3;415981123668516,1512462758241869308980000,40246510129788,186,42
71;7,2,3;186,31,217
72;1,4,6,3;137068641090430,645845285901528691020000,415981123668516,574
73;5,4,2,12,3;415981123668516,1512462758241869308980000,40246510129788,186,42
75;10,2,3;186,31,217
76;5,4,2,3;88981373745215,1416310926986799232200000,605269467045215,3535
79;1,4,8,3;137068641090430,645845285901528691020000,415981123668516,574
82;1,4,8,3;137068641090430,189199375548920767800000,88981373745215,280
83;7,4,2,3;415981123668516,1512462758241869308980000,605269467045215,1183
84;1,4,8,3;137068641090430,645845285901528691020000,415981123668516,574
85;7,4,2,12,3;773008687935645,1656690505124474424150000,40246510129788,186,3633
87;10,2,3;186,31,217
88;7,4,2,3;415981123668516,1512462758241869308980000,605269467045215,1183
91;1,4,11,3;137068641090430,645845285901528691020000,415981123668516,574
94;1,4,11,3;137068641090430,189199375548920767800000,88981373745215,280
95;10,4,2,3;415981123668516,1512462758241869308980000,605269467045215,1183
96;1,4,11,3;137068641090430,645845285901528691020000,415981123668516,574
97;10,4,2,9,3;773008687935645,1656690505124474424150000,40246510129788,186,3633
99;7,2,3;186,31,217
100;10,4,2,3;415981123668516,1512462758241869308980000,605269467045215,1183
104;1,4,14,3;137068641090430,645845285901528691020000,415981123668516,574
108;1,4,14,3;137068641090430,645845285901528691020000,415981123668516,574
110;13,4,2,3;88981373745215,1416310926986799232200000,605269467045215,3535
111;1,4,14,3;137068641090430,1330814151430440575850000,773008687935645,1295
113;13,4,2,9,3;415981123668516,1512462758241869308980000,40246510129788,186,42
116;7,2,3;186,31,217
117;13,4,2,12,3;415981123668516,1512462758241869308980000,40246510129788,186,42
118;10,2,3;186,31,217
125;1,4,9,3;137068641090430,1064651321144352460680000,1085657796706014,1036
131;7,4,2,3;1085657796706014,323589858098667005160000,1129051698388180,2338
133;1,4,12,3;137068641090430,1064651321144352460680000,1085657796706014,1036
135;10,4,2,3;1085657796706014,323589858098667005160000,1129051698388180,2338
136;1,4,2,3;137068641090430,1783371929653125000000000,1129051698388180,2450
143;1,4,2,3;137068641090430,1783371929653125000000000,1129051698388180,2450
145;1,4,12,3;137068641090430,1064651321144352460680000,1085657796706014,1036
147;10,4,2,3;1085657796706014,323589858098667005160000,1129051698388180,2338
148;1,4,2,3;137068641090430,1783371929653125000000000,1129051698388180,2450
155;1,4,2,3;137068641090430,1783371929653125000000000,1129051698388180,2450
157;1,4,9,3;137068641090430,1064651321144352460680000,1085657796706014,1036
159;7,4,2,3;1085657796706014,323589858098667005160000,1129051698388180,2338
160;1,4,2,3;137068641090430,1783371929653125000000000,1129051698388180,2450
170;1,4,2,3;137068641090430,1783371929653125000000000,1129051698388180,2450
173;1,4,9,3;137068641090430,1064651321144352460680000,1085657796706014,1036
176;7,4,2,3;1085657796706014,323589858098667005160000,1129051698388180,2338
177;1,4,12,3;137068641090430,1064651321144352460680000,1085657796706014,1036
178;10,4,2,3;1085657796706014,323589858098667005160000,1129051698388180,2338
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;2,3
2;1;E;4,1
3;1;E;4,2
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;61;V;3,1
19;61;V;6,3
20;61;E;4,1
21;61;E;4,6
22;61;E;4,3
23;64;V;3,1
24;64;V;6,3
25;64;E;4,1
26;64;E;4,6
27;64;E;4,3
28;65;V;2,9
29;65;V;9,3
30;65;E;4,2
31;65;E;4,9
32;65;E;4,3
33;71;V;2,3
34;71;E;4,2
35;71;E;4,3
36;76;V;3,5
37;76;V;2,3
38;76;E;4,5
39;76;E;4,2
40;76;E;4,3
41;83;V;2,3
42;85;V;2,12
43;85;V;12,3
44;85;E;4,2
45;85;E;4,12
46;85;E;4,3
47;87;V;2,3
48;87;E;4,2
49;87;E;4,3
50;125;V;3,1
51;125;V;9,3
52;125;E;4,1
53;125;E;4,9
54;125;E;4,3
55;131;V;2,3
56;131;E;4,2
57;131;E;4,3
58;136;V;3,1
59;136;V;2,3
60;136;E;4,1
61;136;E;4,2
62;136;E;4,3
63;143;V;2,3
64;143;E;4,2
65;145;V;3,1
66;145;V;12,3
67;145;E;4,1
68;145;E;4,12
69;145;E;4,3
70;147;V;2,3
71;147;E;4,2
72;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/3;V/2,3/1/0/14;E/4,1/2/0/3;E/4,2/3/0/14;E/4,3/4/3/14
4:V/3,1/5/0/3;V/6,3/6/0/11;E/4,1/7/0/3;E/4,6/8/0/11;E/4,3/9/3/11
5:V/3,5/6/0/11;V/2,3/10/0/14;E/4,5/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
12:V/3,1/5/0/3;V/6,3/6/0/11;E/4,1/7/0/3;E/4,6/8/0/11;E/4,3/9/3/11
13:V/3,5/6/0/11;V/2,3/10/0/14;E/4,5/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
16:V/3,5/13/0/8;V/2,3/14/0/14;E/4,5/15/0/8;E/4,2/16/0/14;E/4,3/17/8/14
19:V/3,1/0/0/3;V/8,3/6/0/11;E/4,1/2/0/3;E/4,8/8/0/11;E/4,3/4/3/11
22:V/3,1/5/0/3;V/8,3/13/0/8;E/4,1/7/0/3;E/4,8/15/0/8;E/4,3/9/3/8
23:V/3,7/6/0/11;V/2,3/10/0/14;E/4,7/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
24:V/3,1/0/0/3;V/8,3/6/0/11;E/4,1/2/0/3;E/4,8/8/0/11;E/4,3/4/3/11
28:V/3,7/6/0/11;V/2,3/10/0/14;E/4,7/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
31:V/3,1/0/0/3;V/11,3/6/0/11;E/4,1/2/0/3;E/4,11/8/0/11;E/4,3/4/3/11
34:V/3,1/5/0/3;V/11,3/13/0/8;E/4,1/7/0/3;E/4,11/15/0/8;E/4,3/9/3/8
35:V/3,10/6/0/11;V/2,3/10/0/14;E/4,10/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
36:V/3,1/0/0/3;V/11,3/6/0/11;E/4,1/2/0/3;E/4,11/8/0/11;E/4,3/4/3/11
40:V/3,10/6/0/11;V/2,3/10/0/14;E/4,10/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
44:V/3,1/5/0/3;V/14,3/6/0/11;E/4,1/7/0/3;E/4,14/8/0/11;E/4,3/9/3/11
48:V/3,1/5/0/3;V/14,3/6/0/11;E/4,1/7/0/3;E/4,14/8/0/11;E/4,3/9/3/11
50:V/3,13/13/0/8;V/2,3/14/0/14;E/4,13/15/0/8;E/4,2/16/0/14;E/4,3/17/8/14
51:V/3,1/0/0/3;V/2,3/1/0/14;E/4,1/2/0/3;E/4,2/3/0/14;E/4,3/4/3/14
53:V/3,13/6/0/11;V/2,3/10/0/14;E/4,13/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
57:V/3,13/6/0/11;V/2,3/10/0/14;E/4,13/8/0/11;E/4,2/11/0/14;E/4,3/12/11/14
61:V/3,1/18/0/3;V/6,3/19/0/17;E/4,1/20/0/3;E/4,6/21/0/17;E/4,3/22/3/17
64:V/3,1/23/0/3;V/6,3/24/0/9;E/4,1/25/0/3;E/4,6/26/0/9;E/4,3/27/3/9
65:V/3,5/24/0/9;V/2,9/28/0/13;V/9,3/29/0/42;E/4,5/26/0/9;E/4,2/30/0/13;E/4,9/31/13/42;E/4,3/32/9/42
71:V/3,7/29/0/42;V/7,2/28/0/13;V/2,3/33/0/49;E/4,7/31/13/42;E/4,2/34/13/49;E/4,3/35/42/49
72:V/3,1/23/0/3;V/6,3/24/0/9;E/4,1/25/0/3;E/4,6/26/0/9;E/4,3/27/3/9
73:V/3,5/24/0/9;V/2,12/28/0/13;V/12,3/29/0/42;E/4,5/26/0/9;E/4,2/30/0/13;E/4,12/31/13/42;E/4,3/32/9/42
75:V/3,10/29/0/42;V/10,2/28/0/13;V/2,3/33/0/49;E/4,10/31/13/42;E/4,2/34/13/49;E/4,3/35/42/49
76:V/3,5/36/0/4;V/2,3/37/0/49;E/4,5/38/0/4;E/4,2/39/0/49;E/4,3/40/4/49
79:V/3,1/18/0/3;V/8,3/24/0/9;E/4,1/20/0/3;E/4,8/26/0/9;E/4,3/22/3/9
82:V/3,1/23/0/3;V/8,3/36/0/4;E/4,1/25/0/3;E/4,8/38/0/4;E/4,3/27/3/4
83:V/3,7/24/0/9;V/2,3/41/0/49;E/4,7/26/0/9;E/4,2/30/0/49;E/4,3/32/9/49
84:V/3,1/18/0/3;V/8,3/24/0/9;E/4,1/20/0/3;E/4,8/26/0/9;E/4,3/22/3/9
85:V/3,7/19/0/17;V/2,12/42/0/13;V/12,3/43/0/42;E/4,7/21/0/17;E/4,2/44/0/13;E/4,12/45/13/42;E/4,3/46/17/42
87:V/3,10/43/0/42;V/10,2/42/0/13;V/2,3/47/0/49;E/4,10/45/13/42;E/4,2/48/13/49;E/4,3/49/42/49
88:V/3,7/24/0/9;V/2,3/41/0/49;E/4,7/26/0/9;E/4,2/30/0/49;E/4,3/32/9/49
91:V/3,1/18/0/3;V/11,3/24/0/9;E/4,1/20/0/3;E/4,11/26/0/9;E/4,3/22/3/9
94:V/3,1/23/0/3;V/11,3/36/0/4;E/4,1/25/0/3;E/4,11/38/0/4;E/4,3/27/3/4
95:V/3,10/24/0/9;V/2,3/41/0/49;E/4,10/26/0/9;E/4,2/30/0/49;E/4,3/32/9/49
96:V/3,1/18/0/3;V/11,3/24/0/9;E/4,1/20/0/3;E/4,11/26/0/9;E/4,3/22/3/9
97:V/3,10/19/0/17;V/2,9/42/0/13;V/9,3/43/0/42;E/4,10/21/0/17;E/4,2/44/0/13;E/4,9/45/13/42;E/4,3/46/17/42
99:V/3,7/43/0/42;V/7,2/42/0/13;V/2,3/47/0/49;E/4,7/45/13/42;E/4,2/48/13/49;E/4,3/49/42/49
100:V/3,10/24/0/9;V/2,3/41/0/49;E/4,10/26/0/9;E/4,2/30/0/49;E/4,3/32/9/49
104:V/3,1/23/0/3;V/14,3/24/0/9;E/4,1/25/0/3;E/4,14/26/0/9;E/4,3/27/3/9
108:V/3,1/23/0/3;V/14,3/24/0/9;E/4,1/25/0/3;E/4,14/26/0/9;E/4,3/27/3/9
110:V/3,13/36/0/4;V/2,3/37/0/49;E/4,13/38/0/4;E/4,2/39/0/49;E/4,3/40/4/49
111:V/3,1/18/0/3;V/14,3/19/0/17;E/4,1/20/0/3;E/4,14/21/0/17;E/4,3/22/3/17
113:V/3,13/24/0/9;V/2,9/28/0/13;V/9,3/29/0/42;E/4,13/26/0/9;E/4,2/30/0/13;E/4,9/31/13/42;E/4,3/32/9/42
116:V/3,7/29/0/42;V/7,2/28/0/13;V/2,3/33/0/49;E/4,7/31/13/42;E/4,2/34/13/49;E/4,3/35/42/49
117:V/3,13/24/0/9;V/2,12/28/0/13;V/12,3/29/0/42;E/4,13/26/0/9;E/4,2/30/0/13;E/4,12/31/13/42;E/4,3/32/9/42
118:V/3,10/29/0/42;V/10,2/28/0/13;V/2,3/33/0/49;E/4,10/31/13/42;E/4,2/34/13/49;E/4,3/35/42/49
125:V/3,1/50/0/3;V/9,3/51/0/19;E/4,1/52/0/3;E/4,9/53/0/19;E/4,3/54/3/19
131:V/3,7/51/0/19;V/2,3/55/0/34;E/4,7/53/0/19;E/4,2/56/0/34;E/4,3/57/19/34
133:V/3,1/50/0/3;V/12,3/51/0/19;E/4,1/52/0/3;E/4,12/53/0/19;E/4,3/54/3/19
135:V/3,10/51/0/19;V/2,3/55/0/34;E/4,10/53/0/19;E/4,2/56/0/34;E/4,3/57/19/34
136:V/3,1/58/0/3;V/2,3/59/0/34;E/4,1/60/0/3;E/4,2/61/0/34;E/4,3/62/3/34
143:V/3,1/50/0/3;V/2,3/63/0/34;E/4,1/52/0/3;E/4,2/64/0/34;E/4,3/54/3/34
145:V/3,1/65/0/3;V/12,3/66/0/19;E/4,1/67/0/3;E/4,12/68/0/19;E/4,3/69/3/19
147:V/3,10/66/0/19;V/2,3/70/0/34;E/4,10/68/0/19;E/4,2/71/0/34;E/4,3/72/19/34
148:V/3,1/50/0/3;V/2,3/63/0/34;E/4,1/52/0/3;E/4,2/64/0/34;E/4,3/54/3/34
155:V/3,1/50/0/3;V/2,3/63/0/34;E/4,1/52/0/3;E/4,2/64/0/34;E/4,3/54/3/34
157:V/3,1/65/0/3;V/9,3/66/0/19;E/4,1/67/0/3;E/4,9/68/0/19;E/4,3/69/3/19
159:V/3,7/66/0/19;V/2,3/70/0/34;E/4,7/68/0/19;E/4,2/71/0/34;E/4,3/72/19/34
160:V/3,1/50/0/3;V/2,3/63/0/34;E/4,1/52/0/3;E/4,2/64/0/34;E/4,3/54/3/34
170:V/3,1/58/0/3;V/2,3/59/0/34;E/4,1/60/0/3;E/4,2/61/0/34;E/4,3/62/3/34
173:V/3,1/50/0/3;V/9,3/51/0/19;E/4,1/52/0/3;E/4,9/53/0/19;E/4,3/54/3/19
176:V/3,7/51/0/19;V/2,3/55/0/34;E/4,7/53/0/19;E/4,2/56/0/34;E/4,3/57/19/34
177:V/3,1/50/0/3;V/12,3/51/0/19;E/4,1/52/0/3;E/4,12/53/0/19;E/4,3/54/3/19
178:V/3,10/51/0/19;V/2,3/55/0/34;E/4,10/53/0/19;E/4,2/56/0/34;E/4,3/57/19/34
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;40449859/100000000,1019641/2500000;4,4044,87,3645,5812,5812,27718;4,4078,87,3661,5837,5837,8372
0;L;1,2;1019641/2500000,5140533/12500000;4,4078,87,3661,5837,5837,8372;6,411242,8731,367596,586200,586200,20070423
0;L;2,3;5140533/12500000,41158929/100000000;6,411242,8731,367596,586200,586200,20070423;8,41158929,873419,36775528,58645475,58645475,3620405
1;C;0,7;35247969/100000000;2,35,0,0,59,59,38;8,35247969,0,0,59370000,59370000,0
1;L;7,8;35247969/100000000,35324929/100000000;8,35247969,0,0,59370000,59370000,0;10,3532492900,0,0,5943477807,5943477807,1115396941502
1;L;8,9;35324929/100000000,35515497/100000000;10,3532492900,0,0,5943477807,5943477807,1115396941502;10,3551549700,0,0,5959487972,5959487972,223174654432
1;L;9,10;35515497/100000000,8886361/25000000;10,3551549700,0,0,5959487972,5959487972,223174654432;8,35545444,0,0,59620000,59620000,0
1;L;10,11;8886361/25000000,35624499/100000000;8,35545444,0,0,59620000,59620000,0;8,35624499,0,0,59686262,59686262,56934712
1;L;11,12;35624499/100000000,35844169/100000000;8,35624499,0,0,59686262,59686262,56934712;8,35844169,0,0,59870000,59870000,0
1;L;12,13;35844169/100000000,35933949/100000000;8,35844169,0,0,59870000,59870000,0;10,3593394900,0,0,5994493206,5994493206,406439683128
1;L;13,14;35933949/100000000,35971683/100000000;10,3593394900,0,0,5994493206,5994493206,406439683128;10,3597168300,0,0,5997639744,5997639744,1002383228928
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32;C;44,46;24411679/100000000;4,2441,6637,0,0,2098,368627;4,2441,6687,0,0,1813,817062
32;L;46,47;24411679/100000000,23920203/100000000;4,2441,6687,0,0,1813,817062;8,23920203,67120000,0,0,16701679,118580959
32;L;47,48;23920203/100000000,23860469/100000000;8,23920203,67120000,0,0,16701679,118580959;8,23860469,67370000,0,0,15276678,9284316
32;L;48,49;23860469/100000000,23833253/100000000;8,23860469,67370000,0,0,15276678,9284316;10,2383325300,6752980101,0,0,1436581171,294626298558
33;C;0,49;23833253/100000000;2,23,0,0,21,50,1659;2,23,0,0,25,58,611
34;C;13,49;23833253/100000000;2,23,0,0,22,60,516;2,23,0,0,25,58,611
35;C;42,45;784757/3125000;2,25,24,0,0,66,68;2,25,24,0,0,63,455
35;C;45,49;23833253/100000000;2,23,24,0,0,63,55;2,23,25,0,0,58,611
36;C;0,4;38383319/100000000;2,38,0,0,59,59,638;2,38,0,0,59,59,638
37;C;0,49;23833253/100000000;2,23,0,0,4,59,1103;4,2383,0,0,399,6753,1897790
38;C;0,4;38383319/100000000;2,38,0,0,59,59,638;2,38,0,0,59,59,638
39;C;0,49;23833253/100000000;2,23,0,0,59,19,758;4,2383,0,0,6753,399,1897790
40;C;4,15;35247969/100000000;2,35,59,0,0,59,38;2,35,61,0,0,51,678
40;C;15,26;6501451/20000000;2,32,61,0,0,51,78;2,32,63,0,0,37,1062
40;C;26,37;28387559/100000000;2,28,63,0,0,37,262;2,28,65,0,0,21,934
40;C;37,49;23833253/100000000;4,2383,6487,0,0,2073,1281502;4,2383,6753,0,0,399,1897790
41;C;0,49;23833253/100000000;2,23,0,0,13,59,950;10,2383325300,0,0,1436581171,6752980101,294626298558
42;C;0,13;35247969/100000000;2,35,0,0,27,59,2790;2,35,0,0,27,60,2671
43;C;0,42;27162369/100000000;2,27,0,0,30,59,1019;8,27162369,0,0,32970484,65919806,161728108
44;C;0,13;35247969/100000000;2,35,0,0,59,28,2735;2,35,0,0,60,27,2671
45;C;13,42;27162369/100000000;2,27,0,0,27,60,1071;8,27162369,0,0,32970484,65919806,161728108
46;L;17,18;36632973/100000000,36398439/100000000;8,36632973,60525179,0,0,60525179,14035918;10,3639843900,6062000000,0,0,6004084739,446907301879
46;L;18,19;36398439/100000000,35990163/100000000;10,3639843900,6062000000,0,0,6004084739,446907301879;10,3599016300,6078747144,0,0,5918543631,447261179103
46;L;19,20;35990163/100000000,35791763/100000000;10,3599016300,6078747144,0,0,5918543631,447261179103;8,35791763,60870000,0,0,58763897,109373391
46;L;20,21;35791763/100000000,35202017/100000000;8,35791763,60870000,0,0,58763897,109373391;8,35202017,61120000,0,0,57486946,39593084
46;L;21,22;35202017/100000000,34629203/100000000;8,35202017,61120000,0,0,57486946,39593084;8,34629203,61370000,0,0,56209996,49679984
46;L;22,23;34629203/100000000,34073319/100000000;8,34629203,61370000,0,0,56209996,49679984;10,3407331900,6162000000,0,0,5493304448,241583415296
46;L;23,24;34073319/100000000,33534367/100000000;10,3407331900,6162000000,0,0,5493304448,241583415296;8,33534367,61870000,0,0,53656094,76663164
46;L;24,25;33534367/100000000,16506173/50000000;8,33534367,61870000,0,0,53656094,76663164;8,33012346,62120000,0,0,52379144,73827264
46;L;25,26;16506173/50000000,6501451/20000000;8,33012346,62120000,0,0,52379144,73827264;10,3250725500,6237000000,0,0,5110219230,421338207100
46;L;26,27;6501451/20000000,4002387/12500000;10,3250725500,6237000000,0,0,5110219230,421338207100;8,32019096,62620000,0,0,49825242,59641436
46;L;27,28;4002387/12500000,7886967/25000000;8,32019096,62620000,0,0,49825242,59641436;8,31547868,62870000,0,0,48548291,140979319
46;L;28,29;7886967/25000000,3109357/10000000;8,31547868,62870000,0,0,48548291,140979319;10,3109357000,6312000000,0,0,4727134012,32592783856
46;L;29,30;3109357/10000000,7664051/25000000;10,3109357000,6312000000,0,0,4727134012,32592783856;10,3065620400,6337000000,0,0,4599438939,446410554279
46;L;30,31;7664051/25000000,30235769/100000000;10,3065620400,6337000000,0,0,4599438939,446410554279;8,30235769,63620000,0,0,44717439,49281279
46;L;31,32;30235769/100000000,5966453/20000000;8,30235769,63620000,0,0,44717439,49281279;8,29832265,63870000,0,0,43440488,102321856
46;L;32,33;5966453/20000000,7361423/25000000;8,29832265,63870000,0,0,43440488,102321856;8,29445692,64120000,0,0,42163538,63322556
46;L;33,34;7361423/25000000,7346171/25000000;8,29445692,64120000,0,0,42163538,63322556;8,29384684,64160485,0,0,41956751,10088774
46;L;34,35;7346171/25000000,581521/2000000;8,29384684,64160485,0,0,41956751,10088774;8,29076050,64370000,0,0,40886587,103491431
46;L;35,36;581521/2000000,28723339/100000000;8,29076050,64370000,0,0,40886587,103491431;8,28723339,64620000,0,0,39609636,135947504
46;L;36,37;28723339/100000000,28387559/100000000;8,28723339,64620000,0,0,39609636,135947504;8,28387559,64870000,0,0,38332686,84025404
46;L;37,38;28387559/100000000,2806871/10000000;8,28387559,64870000,0,0,38332686,84025404;8,28068710,65120000,0,0,37055735,103609775
46;L;38,39;2806871/10000000,3470849/12500000;8,28068710,65120000,0,0,37055735,103609775;8,27766792,65370000,0,0,35778784,115481344
46;L;39,40;3470849/12500000,5496361/20000000;8,27766792,65370000,0,0,35778784,115481344;8,27481805,65620000,0,0,34501833,119640111
46;L;40,41;5496361/20000000,27213749/100000000;8,27481805,65620000,0,0,34501833,119640111;8,27213749,65870000,0,0,33224883,49636311
46;L;41,42;27213749/100000000,27162369/100000000;8,27213749,65870000,0,0,33224883,49636311;8,27162369,65919806,0,0,32970484,161728108
47;C;0,49;23833253/100000000;2,23,0,0,30,50,1200;2,23,0,0,35,58,11
48;C;13,49;23833253/100000000;2,23,0,0,27,60,271;2,23,0,0,35,58,11
49;L;42,43;27162369/100000000,6640739/25000000;8,27162369,32970484,0,0,65919806,161728108;8,26562956,33160537,0,0,64907395,60185606
49;L;43,44;6640739/25000000,6457329/25000000;8,26562956,33160537,0,0,64907395,60185606;10,2582931600,3339787222,0,0,6364310845,779980908691
49;L;44,45;6457329/25000000,784757/3125000;10,2582931600,3339787222,0,0,6364310845,779980908691;8,25112224,33635208,0,0,62378823,23931407
49;L;45,46;784757/3125000,24411679/100000000;8,25112224,33635208,0,0,62378823,23931407;8,24411679,33872544,0,0,61114536,52472768
49;L;46,47;24411679/100000000,23920203/100000000;8,24411679,33872544,0,0,61114536,52472768;4,2392,3411,0,0,5986,372883
49;C;47,49;23833253/100000000;4,2383,3411,0,0,5986,192883;2,23,35,0,0,58,11
50;C;0,3;40449859/100000000;2,40,0,0,30,59,3619;2,40,0,0,30,59,3619
51;C;0,19;35247969/100000000;2,35,0,0,17,59,3230;2,35,0,0,18,61,2955
52;C;0,3;40449859/100000000;2,40,0,0,59,31,3558;2,40,0,0,59,30,3619
53;C;0,19;35247969/100000000;2,35,0,0,17,59,3230;2,35,0,0,18,61,2955
54;C;3,34;7346171/25000000;2,29,59,0,0,30,1419;2,29,65,0,0,0,1575
55;C;0,34;7346171/25000000;2,29,0,0,17,40,3911;2,29,0,0,19,45,3414
56;C;0,34;7346171/25000000;2,29,0,0,17,47,3302;2,29,0,0,19,45,3414
57;C;19,34;7346171/25000000;2,29,18,0,0,61,1755;2,29,19,0,0,45,3414
58;C;0,3;40449859/100000000;2,40,0,0,24,59,3943;2,40,0,0,24,59,3943
59;C;0,34;7346171/25000000;2,29,0,0,0,59,2319;2,29,0,0,0,65,1575
60;C;0,3;40449859/100000000;2,40,0,0,59,25,3894;2,40,0,0,59,24,3943
61;C;0,34;7346171/25000000;2,29,0,0,59,2,2315;2,29,0,0,65,0,1575
62;C;3,34;7346171/25000000;2,29,59,0,0,24,1743;2,29,65,0,0,0,1575
63;C;0,34;7346171/25000000;2,29,0,0,0,59,2319;2,29,0,0,0,65,1575
64;C;0,34;7346171/25000000;2,29,0,0,59,6,2283;2,29,0,0,65,0,1575
65;C;0,3;40449859/100000000;2,40,0,0,35,59,3294;2,40,0,0,36,59,3223
66;C;0,19;35247969/100000000;2,35,0,0,23,59,2990;2,35,0,0,24,61,2703
67;C;0,3;40449859/100000000;2,40,0,0,59,36,3223;2,40,0,0,59,36,3223
68;C;0,19;35247969/100000000;2,35,0,0,22,59,3035;2,35,0,0,24,61,2703
69;C;3,19;35247969/100000000;2,35,59,0,0,36,2223;2,35,61,0,0,24,2703
70;C;0,34;7346171/25000000;2,29,0,0,24,40,3624;2,29,0,0,27,45,3046
71;C;0,34;7346171/25000000;2,29,0,0,21,47,3150;2,29,0,0,27,45,3046
72;C;19,34;7346171/25000000;2,29,24,0,0,61,1503;2,29,27,0,0,45,3046
MASS SLACK NUMERATOR 163395119419974628558181922902439522114051553397525521527385236682677840959699008173442436575310808597466299215585263788453
BIN 11: PATH0; (81/70,41/35]; gamma0=729/1250; mass ceiling=3035119/3125000.
GAMMA 0=729/1250;1=5857/10000;2=88133850000/150405644567;3=2941/5000;4=88493580000/150405644567;5=44066925000/74862344567;6=5907/10000;7=1483/2500;8=82737900000/138894284567;9=5957/10000;10=51441390000/86194199297;11=2991/5000;12=37771650000/63127951967;13=44966250000/74972781677;14=6007/10000;15=377/625;16=38491110000/63751364057;17=38131380000/63127951967;18=76262760000/125944004567;19=6057/10000;20=80339700000/132165415007;21=3041/5000;22=6107/10000;23=1533/2500;24=6157/10000;25=3091/5000;26=6207/10000;27=779/1250;28=6257/10000;29=3141/5000;30=6307/10000;31=1583/2500;32=6357/10000;33=3191/5000;34=6407/10000;35=402/625;36=34803877500/54079027021;37=6457/10000;38=3241/5000;39=6507/10000;40=1633/2500;41=6557/10000;42=3291/5000;43=55158600000/83735684567;44=6607/10000;45=829/1250;46=6657/10000;47=3341/5000;48=6707/10000;49=1683/2500;50=6757/10000;51=50721930000/74862344567;52=3391/5000;53=6807/10000;54=427/625;55=6857/10000;56=3441/5000;57=6907/10000;58=1733/2500;59=6957/10000;60=3491/5000;61=7007/10000;62=879/1250;63=7057/10000;64=3541/5000;65=7107/10000;66=1783/2500;67=7157/10000;68=3591/5000;69=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40402234,40735381;1,2,40735381,40772024;2,3,40772024,41069908;3,4,41069908,41092180;4,5,41092180,40672172;5,6,40672172,38032859;6,7,38032859,36080914;7,8,36080914,35499160;8,9,35499160,35499575;9,10,35499575,35617983;10,11,35617983,35784324;11,12,35784324,35800453;12,13,35800453,35972125;13,14,35972125,36084049;14,15,36084049,36385024;15,16,36385024,36453725;16,17,36453725,36485613;17,18,36485613,36666550;18,19,36666550,36622847;19,20,36622847,36074540;20,21,36074540,35992997;21,22,35992997,35380848;22,23,35380848,34786400;23,24,34786400,34209655;24,25,34209655,33650611;25,26,33650611,33109269;26,27,33109269,32585629;27,28,32585629,32079691;28,29,32079691,31591454;29,30,31591454,31120919;30,31,31120919,30668086;31,32,30668086,30232955;32,33,30232955,29815525;33,34,29815525,29415798;34,35,29415798,29033772;35,36,29033772,28978083;36,37,28978083,28669447;37,38,28669447,28322825;38,39,28322825,27993904;39,40,27993904,27682685;40,41,27682685,27389168;41,42,27389168,27113353;42,43,27113353,27057918;43,44,27057918,26448454;44,45,26448454,25693594;45,46,25693594,24956305;46,47,24956305,24236587;47,48,24236587,23702058;48,49,23702058,23652602;49,50,23652602,23625287;50,51,23625287,23619329;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0;65,66,0,0;66,67,0,0;67,68,0,0;68,69,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;128586221417/37771650000,1/3,150405644567/75543300000;-8685482209927
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;143/105,5/3,53/105;-23
10;6;1;-1
11;2,3,7;25/21,4/3,53/105;-34
14;6;1;-1
15;2,3,10;25/21,4/3,53/105;-34
17;2,3,5;13/35,11/3,53/105;-8
18;1,4,8;92220516167/25181100000,4/3,150405644567/75543300000;-5188107209927
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;25/21,4/3,53/105;-34
29;1,3,9;104/105,10/3,41/35;-104
30;1,4,11;92220516167/25181100000,4/3,150405644567/75543300000;-5188107209927
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;25/21,4/3,53/105;-34
41;1,3,12;104/105,10/3,41/35;-104
42;1,4,14;128586221417/37771650000,1/3,150405644567/75543300000;-8685482209927
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;25/21,4/3,53/105;-34
56;2,3,7;25/21,4/3,53/105;-34
58;2,3,10;25/21,4/3,53/105;-34
59;2,3,13;13/35,11/3,53/105;-8
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;248/105,5/3,47/70;-34
70;6;1;-1
74;6;1;-1
77;2,3,5;48/35,4,47/70;-9
78;1,4,8;133618244567/25181100000,1/3,150405644567/75543300000;-10434169709927
80;6,8;10/3,10/3;-10
81;8;1;-1
86;8;1;-1
89;1,3,9;104/105,10/3,41/35;-104
90;1,4,11;133618244567/25181100000,1/3,150405644567/75543300000;-10434169709927
92;6,11;10/3,10/3;-10
93;11;1;-1
98;11;1;-1
101;1,3,12;104/105,10/3,41/35;-104
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;248/105,5/3,47/70;-34
119;2,3,13;48/35,4,47/70;-9
120;0,1,6;5/3,2,1;-1
121;1,4,6;19998248423/4721456250,5/3,150405644567/75543300000;-3439419709927
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;353/105,13/6,129/140;-34
130;6;1;-1
132;1,4,6;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
134;6;1;-1
137;2,3,5;83/35,5,129/140;-11
138;0,1,8;2/3,3,1;-2
139;1,4,8;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;47133756617/12590550000,11/3,150405644567/75543300000;-2565075959927
144;1,4,8;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
146;8;1;-1
149;1,3,9;104/105,10/3,41/35;-104
150;0,1,11;2/3,3,1;-2
151;1,4,11;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;47133756617/12590550000,11/3,150405644567/75543300000;-2565075959927
156;1,4,11;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
158;11;1;-1
161;1,3,12;104/105,10/3,41/35;-104
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;60277451447/15108660000,8/3,150405644567/75543300000;-8569571629781
169;14;1;-1
171;1,4,14;19998248423/4721456250,5/3,150405644567/75543300000;-3439419709927
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;353/105,13/6,129/140;-34
179;2,3,13;83/35,5,129/140;-11
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,2,6,3;1259040884185,19570611025000000000000,88465593782,1,4865
4;1,4,6,3;1259040884185,6947005722407148020000,2415240578282,847
5;5,4,2,3;2415240578282,755764454891607980000,6393131173555,399
12;1,4,6,3;1259040884185,6947005722407148020000,2415240578282,847
13;5,4,2,3;2415240578282,755764454891607980000,6393131173555,399
16;5,4,2,3;5701757493005,4150099101722026600000,6393131173555,3885
19;1,4,8,3;1259040884185,6947005722407148020000,2415240578282,847
22;1,4,8,3;1259040884185,15002264480940493400000,5701757493005,3605
23;7,4,2,3;2415240578282,755764454891607980000,6393131173555,399
24;1,4,8,3;1259040884185,6947005722407148020000,2415240578282,847
25;7,2,3;1,1,105
28;7,4,2,3;2415240578282,755764454891607980000,6393131173555,399
31;1,4,11,3;1259040884185,6947005722407148020000,2415240578282,847
34;1,4,11,3;1259040884185,15002264480940493400000,5701757493005,3605
35;10,4,2,3;2415240578282,755764454891607980000,6393131173555,399
36;1,4,11,3;1259040884185,6947005722407148020000,2415240578282,847
37;10,2,3;1,1,105
40;10,4,2,3;2415240578282,755764454891607980000,6393131173555,399
44;1,4,14,3;1259040884185,6947005722407148020000,2415240578282,847
48;1,4,14,3;1259040884185,6947005722407148020000,2415240578282,847
50;13,4,2,3;5701757493005,4150099101722026600000,6393131173555,3885
51;1,4,2,14,3;1259040884185,19570611025000000000000,88465593782,1,4865
53;13,4,2,3;2415240578282,755764454891607980000,6393131173555,399
57;13,4,2,3;2415240578282,755764454891607980000,6393131173555,399
61;1,4,6,3;1259040884185,2527402931172623350000,13670497052555,595
64;1,4,6,3;1259040884185,1075822414907148020000,1686565650511,56
65;5,4,2,9,3;1686565650511,3329913539040851980000,226225360292,111,21
71;7,2,3;111,74,259
72;1,4,6,3;1259040884185,1075822414907148020000,1686565650511,56
73;5,4,2,12,3;1686565650511,3329913539040851980000,226225360292,111,21
75;10,2,3;111,74,259
76;1,5,4,2,3;1,57955290073,9468827544719506600000,22886793768370,1225
79;1,4,8,3;1259040884185,1075822414907148020000,1686565650511,56
82;1,4,8;115910580146,324306212190493400000,57955290073
83;7,4,2,3;1686565650511,3329913539040851980000,22886793768370,623
84;1,4,8,3;1259040884185,1075822414907148020000,1686565650511,56
85;7,4,2,12,3;13670497052555,3590370075242376650000,226225360292,111,462
87;10,2,3;111,74,259
88;7,4,2,3;1686565650511,3329913539040851980000,22886793768370,623
91;1,4,11,3;1259040884185,1075822414907148020000,1686565650511,56
94;1,4,11;115910580146,324306212190493400000,57955290073
95;10,4,2,3;1686565650511,3329913539040851980000,22886793768370,623
96;1,4,11,3;1259040884185,1075822414907148020000,1686565650511,56
97;10,4,2,9,3;13670497052555,3590370075242376650000,226225360292,111,462
99;7,2,3;111,74,259
100;10,4,2,3;1686565650511,3329913539040851980000,22886793768370,623
104;1,4,14,3;1259040884185,1075822414907148020000,1686565650511,56
108;1,4,14,3;1259040884185,1075822414907148020000,1686565650511,56
110;1,13,4,2,3;1,57955290073,9468827544719506600000,22886793768370,1225
111;1,4,14,3;1259040884185,2527402931172623350000,13670497052555,595
113;13,4,2,9,3;1686565650511,3329913539040851980000,226225360292,111,21
116;7,2,3;111,74,259
117;13,4,2,12,3;1686565650511,3329913539040851980000,226225360292,111,21
118;10,2,3;111,74,259
125;1,4,9,3;1259040884185,2021922344938098680000,9510754073093,238
131;7,4,2,3;9510754073093,743614951534111160000,7053988453540,1253
133;1,4,12,3;1259040884185,2021922344938098680000,9510754073093,238
135;10,4,2,3;9510754073093,743614951534111160000,7053988453540,1253
136;1,4,2,3;1259040884185,1223163189062500000000,7053988453540,1225
143;1,4,2,3;1259040884185,1223163189062500000000,7053988453540,1225
145;1,4,12,3;1259040884185,2021922344938098680000,9510754073093,238
147;10,4,2,3;9510754073093,743614951534111160000,7053988453540,1253
148;1,4,2,3;1259040884185,1223163189062500000000,7053988453540,1225
155;1,4,2,3;1259040884185,1223163189062500000000,7053988453540,1225
157;1,4,9,3;1259040884185,2021922344938098680000,9510754073093,238
159;7,4,2,3;9510754073093,743614951534111160000,7053988453540,1253
160;1,4,2,3;1259040884185,1223163189062500000000,7053988453540,1225
170;1,4,2,3;1259040884185,1223163189062500000000,7053988453540,1225
173;1,4,9,3;1259040884185,2021922344938098680000,9510754073093,238
176;7,4,2,3;9510754073093,743614951534111160000,7053988453540,1253
177;1,4,12,3;1259040884185,2021922344938098680000,9510754073093,238
178;10,4,2,3;9510754073093,743614951534111160000,7053988453540,1253
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;2,6
2;1;V;6,3
3;1;E;4,1
4;1;E;4,2
5;1;E;4,6
6;1;E;4,3
7;4;V;3,1
8;4;V;6,3
9;4;E;4,1
10;4;E;4,6
11;4;E;4,3
12;5;V;2,3
13;5;E;4,2
14;5;E;4,3
15;16;V;3,5
16;16;V;2,3
17;16;E;4,5
18;16;E;4,2
19;16;E;4,3
20;25;V;2,3
21;25;E;4,2
22;25;E;4,3
23;61;V;3,1
24;61;V;6,3
25;61;E;4,1
26;61;E;4,6
27;61;E;4,3
28;64;V;3,1
29;64;V;6,3
30;64;E;4,1
31;64;E;4,6
32;64;E;4,3
33;65;V;2,9
34;65;V;9,3
35;65;E;4,2
36;65;E;4,9
37;65;E;4,3
38;71;V;2,3
39;71;E;4,2
40;71;E;4,3
41;76;V;3,1
42;76;V;1,5
43;76;V;2,3
44;76;E;4,1
45;76;E;4,5
46;76;E;4,2
47;76;E;4,3
48;83;V;2,3
49;85;V;2,12
50;85;V;12,3
51;85;E;4,2
52;85;E;4,12
53;85;E;4,3
54;87;V;2,3
55;87;E;4,2
56;87;E;4,3
57;125;V;3,1
58;125;V;9,3
59;125;E;4,1
60;125;E;4,9
61;125;E;4,3
62;131;V;2,3
63;131;E;4,2
64;131;E;4,3
65;136;V;3,1
66;136;V;2,3
67;136;E;4,1
68;136;E;4,2
69;136;E;4,3
70;143;V;2,3
71;143;E;4,2
72;145;V;3,1
73;145;V;12,3
74;145;E;4,1
75;145;E;4,12
76;145;E;4,3
77;147;V;2,3
78;147;E;4,2
79;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/4;V/2,6/1/0/12;V/6,3/2/0/16;E/4,1/3/0/4;E/4,2/4/0/12;E/4,6/5/12/16;E/4,3/6/4/16
4:V/3,1/7/0/4;V/6,3/8/0/13;E/4,1/9/0/4;E/4,6/10/0/13;E/4,3/11/4/13
5:V/3,5/8/0/13;V/2,3/12/0/17;E/4,5/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
12:V/3,1/7/0/4;V/6,3/8/0/13;E/4,1/9/0/4;E/4,6/10/0/13;E/4,3/11/4/13
13:V/3,5/8/0/13;V/2,3/12/0/17;E/4,5/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
16:V/3,5/15/0/10;V/2,3/16/0/17;E/4,5/17/0/10;E/4,2/18/0/17;E/4,3/19/10/17
19:V/3,1/0/0/4;V/8,3/8/0/13;E/4,1/3/0/4;E/4,8/10/0/13;E/4,3/6/4/13
22:V/3,1/7/0/4;V/8,3/15/0/10;E/4,1/9/0/4;E/4,8/17/0/10;E/4,3/11/4/10
23:V/3,7/8/0/13;V/2,3/12/0/17;E/4,7/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
24:V/3,1/0/0/4;V/8,3/8/0/13;E/4,1/3/0/4;E/4,8/10/0/13;E/4,3/6/4/13
25:V/3,7/2/0/16;V/7,2/1/0/12;V/2,3/20/0/17;E/4,7/5/12/16;E/4,2/21/12/17;E/4,3/22/16/17
28:V/3,7/8/0/13;V/2,3/12/0/17;E/4,7/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
31:V/3,1/0/0/4;V/11,3/8/0/13;E/4,1/3/0/4;E/4,11/10/0/13;E/4,3/6/4/13
34:V/3,1/7/0/4;V/11,3/15/0/10;E/4,1/9/0/4;E/4,11/17/0/10;E/4,3/11/4/10
35:V/3,10/8/0/13;V/2,3/12/0/17;E/4,10/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
36:V/3,1/0/0/4;V/11,3/8/0/13;E/4,1/3/0/4;E/4,11/10/0/13;E/4,3/6/4/13
37:V/3,10/2/0/16;V/10,2/1/0/12;V/2,3/20/0/17;E/4,10/5/12/16;E/4,2/21/12/17;E/4,3/22/16/17
40:V/3,10/8/0/13;V/2,3/12/0/17;E/4,10/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
44:V/3,1/7/0/4;V/14,3/8/0/13;E/4,1/9/0/4;E/4,14/10/0/13;E/4,3/11/4/13
48:V/3,1/7/0/4;V/14,3/8/0/13;E/4,1/9/0/4;E/4,14/10/0/13;E/4,3/11/4/13
50:V/3,13/15/0/10;V/2,3/16/0/17;E/4,13/17/0/10;E/4,2/18/0/17;E/4,3/19/10/17
51:V/3,1/0/0/4;V/2,14/1/0/12;V/14,3/2/0/16;E/4,1/3/0/4;E/4,2/4/0/12;E/4,14/5/12/16;E/4,3/6/4/16
53:V/3,13/8/0/13;V/2,3/12/0/17;E/4,13/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
57:V/3,13/8/0/13;V/2,3/12/0/17;E/4,13/10/0/13;E/4,2/13/0/17;E/4,3/14/13/17
61:V/3,1/23/0/4;V/6,3/24/0/18;E/4,1/25/0/4;E/4,6/26/0/18;E/4,3/27/4/18
64:V/3,1/28/0/4;V/6,3/29/0/8;E/4,1/30/0/4;E/4,6/31/0/8;E/4,3/32/4/8
65:V/3,5/29/0/8;V/2,9/33/0/5;V/9,3/34/0/43;E/4,5/31/0/8;E/4,2/35/0/5;E/4,9/36/5/43;E/4,3/37/8/43
71:V/3,7/34/0/43;V/7,2/33/0/5;V/2,3/38/0/51;E/4,7/36/5/43;E/4,2/39/5/51;E/4,3/40/43/51
72:V/3,1/28/0/4;V/6,3/29/0/8;E/4,1/30/0/4;E/4,6/31/0/8;E/4,3/32/4/8
73:V/3,5/29/0/8;V/2,12/33/0/5;V/12,3/34/0/43;E/4,5/31/0/8;E/4,2/35/0/5;E/4,12/36/5/43;E/4,3/37/8/43
75:V/3,10/34/0/43;V/10,2/33/0/5;V/2,3/38/0/51;E/4,10/36/5/43;E/4,2/39/5/51;E/4,3/40/43/51
76:V/3,1/41/0/4;V/1,5/42/0/2;V/2,3/43/0/51;E/4,1/44/2/4;E/4,5/45/0/2;E/4,2/46/0/51;E/4,3/47/4/51
79:V/3,1/23/0/4;V/8,3/29/0/8;E/4,1/25/0/4;E/4,8/31/0/8;E/4,3/27/4/8
82:V/8,1/42/0/2;E/4,1/30/0/2;E/4,8/45/0/2
83:V/3,7/29/0/8;V/2,3/48/0/51;E/4,7/31/0/8;E/4,2/35/0/51;E/4,3/37/8/51
84:V/3,1/23/0/4;V/8,3/29/0/8;E/4,1/25/0/4;E/4,8/31/0/8;E/4,3/27/4/8
85:V/3,7/24/0/18;V/2,12/49/0/5;V/12,3/50/0/43;E/4,7/26/0/18;E/4,2/51/0/5;E/4,12/52/5/43;E/4,3/53/18/43
87:V/3,10/50/0/43;V/10,2/49/0/5;V/2,3/54/0/51;E/4,10/52/5/43;E/4,2/55/5/51;E/4,3/56/43/51
88:V/3,7/29/0/8;V/2,3/48/0/51;E/4,7/31/0/8;E/4,2/35/0/51;E/4,3/37/8/51
91:V/3,1/23/0/4;V/11,3/29/0/8;E/4,1/25/0/4;E/4,11/31/0/8;E/4,3/27/4/8
94:V/11,1/42/0/2;E/4,1/30/0/2;E/4,11/45/0/2
95:V/3,10/29/0/8;V/2,3/48/0/51;E/4,10/31/0/8;E/4,2/35/0/51;E/4,3/37/8/51
96:V/3,1/23/0/4;V/11,3/29/0/8;E/4,1/25/0/4;E/4,11/31/0/8;E/4,3/27/4/8
97:V/3,10/24/0/18;V/2,9/49/0/5;V/9,3/50/0/43;E/4,10/26/0/18;E/4,2/51/0/5;E/4,9/52/5/43;E/4,3/53/18/43
99:V/3,7/50/0/43;V/7,2/49/0/5;V/2,3/54/0/51;E/4,7/52/5/43;E/4,2/55/5/51;E/4,3/56/43/51
100:V/3,10/29/0/8;V/2,3/48/0/51;E/4,10/31/0/8;E/4,2/35/0/51;E/4,3/37/8/51
104:V/3,1/28/0/4;V/14,3/29/0/8;E/4,1/30/0/4;E/4,14/31/0/8;E/4,3/32/4/8
108:V/3,1/28/0/4;V/14,3/29/0/8;E/4,1/30/0/4;E/4,14/31/0/8;E/4,3/32/4/8
110:V/3,1/41/0/4;V/1,13/42/0/2;V/2,3/43/0/51;E/4,1/44/2/4;E/4,13/45/0/2;E/4,2/46/0/51;E/4,3/47/4/51
111:V/3,1/23/0/4;V/14,3/24/0/18;E/4,1/25/0/4;E/4,14/26/0/18;E/4,3/27/4/18
113:V/3,13/29/0/8;V/2,9/33/0/5;V/9,3/34/0/43;E/4,13/31/0/8;E/4,2/35/0/5;E/4,9/36/5/43;E/4,3/37/8/43
116:V/3,7/34/0/43;V/7,2/33/0/5;V/2,3/38/0/51;E/4,7/36/5/43;E/4,2/39/5/51;E/4,3/40/43/51
117:V/3,13/29/0/8;V/2,12/33/0/5;V/12,3/34/0/43;E/4,13/31/0/8;E/4,2/35/0/5;E/4,12/36/5/43;E/4,3/37/8/43
118:V/3,10/34/0/43;V/10,2/33/0/5;V/2,3/38/0/51;E/4,10/36/5/43;E/4,2/39/5/51;E/4,3/40/43/51
125:V/3,1/57/0/4;V/9,3/58/0/20;E/4,1/59/0/4;E/4,9/60/0/20;E/4,3/61/4/20
131:V/3,7/58/0/20;V/2,3/62/0/36;E/4,7/60/0/20;E/4,2/63/0/36;E/4,3/64/20/36
133:V/3,1/57/0/4;V/12,3/58/0/20;E/4,1/59/0/4;E/4,12/60/0/20;E/4,3/61/4/20
135:V/3,10/58/0/20;V/2,3/62/0/36;E/4,10/60/0/20;E/4,2/63/0/36;E/4,3/64/20/36
136:V/3,1/65/0/4;V/2,3/66/0/36;E/4,1/67/0/4;E/4,2/68/0/36;E/4,3/69/4/36
143:V/3,1/57/0/4;V/2,3/70/0/36;E/4,1/59/0/4;E/4,2/71/0/36;E/4,3/61/4/36
145:V/3,1/72/0/4;V/12,3/73/0/20;E/4,1/74/0/4;E/4,12/75/0/20;E/4,3/76/4/20
147:V/3,10/73/0/20;V/2,3/77/0/36;E/4,10/75/0/20;E/4,2/78/0/36;E/4,3/79/20/36
148:V/3,1/57/0/4;V/2,3/70/0/36;E/4,1/59/0/4;E/4,2/71/0/36;E/4,3/61/4/36
155:V/3,1/57/0/4;V/2,3/70/0/36;E/4,1/59/0/4;E/4,2/71/0/36;E/4,3/61/4/36
157:V/3,1/72/0/4;V/9,3/73/0/20;E/4,1/74/0/4;E/4,9/75/0/20;E/4,3/76/4/20
159:V/3,7/73/0/20;V/2,3/77/0/36;E/4,7/75/0/20;E/4,2/78/0/36;E/4,3/79/20/36
160:V/3,1/57/0/4;V/2,3/70/0/36;E/4,1/59/0/4;E/4,2/71/0/36;E/4,3/61/4/36
170:V/3,1/65/0/4;V/2,3/66/0/36;E/4,1/67/0/4;E/4,2/68/0/36;E/4,3/69/4/36
173:V/3,1/57/0/4;V/9,3/58/0/20;E/4,1/59/0/4;E/4,9/60/0/20;E/4,3/61/4/20
176:V/3,7/58/0/20;V/2,3/62/0/36;E/4,7/60/0/20;E/4,2/63/0/36;E/4,3/64/20/36
177:V/3,1/57/0/4;V/12,3/58/0/20;E/4,1/59/0/4;E/4,12/60/0/20;E/4,3/61/4/20
178:V/3,10/58/0/20;V/2,3/62/0/36;E/4,10/60/0/20;E/4,2/63/0/36;E/4,3/64/20/36
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;20201117/50000000,40735381/100000000;4,4040,0,3567,5832,5832,52063;4,4073,0,3583,5857,5857,13213
0;L;1,2;40735381/100000000,5096503/12500000;4,4073,0,3583,5857,5857,13213;4,4077,0,3584,5860,5860,15744
0;L;2,3;5096503/12500000,10267477/25000000;4,4077,0,3584,5860,5860,15744;6,410699,0,359752,588200,588200,18018496
0;L;3,4;10267477/25000000,2054609/5000000;6,410699,0,359752,588200,588200,18018496;12,410921800000,0,359853170111,588366083300,588366083300,5498618467679
1;C;0,6;38032859/100000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
1;C;6,9;887479/2500000;4,3549,0,0,5907,5907,1194702;4,3549,0,0,5957,5957,8302
1;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
1;L;10,11;35617983/100000000,8946081/25000000;8,35617983,0,0,59680803,59680803,106550382;8,35784324,0,0,59820000,59820000,0
1;L;11,12;8946081/25000000,35800453/100000000;8,35784324,0,0,59820000,59820000,0;10,3580045300,0,0,5983347919,5983347919,1360396738878
2;C;0,8;887479/2500000;2,35,0,0,59,59,38;4,3549,0,0,5957,5957,8302
2;C;8,9;887479/2500000;4,3549,0,0,5957,5957,8302;4,3549,0,0,5957,5957,8302
2;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
2;L;10,11;35617983/100000000,8946081/25000000;8,35617983,0,0,59680803,59680803,106550382;8,35784324,0,0,59820000,59820000,0
2;L;11,12;8946081/25000000,35800453/100000000;8,35784324,0,0,59820000,59820000,0;10,3580045300,0,0,5983347919,5983347919,1360396738878
2;L;12,13;35800453/100000000,287777/800000;10,3580045300,0,0,5983347919,5983347919,1360396738878;10,3597212500,0,0,5997676623,5997676623,251838631742
2;L;13,14;287777/800000,36084049/100000000;10,3597212500,0,0,5997676623,5997676623,251838631742;8,36084049,0,0,60070000,60070000,0
2;L;14,15;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
2;L;15,16;142129/390625,1458149/4000000;8,36385024,0,0,60320000,60320000,0;8,36453725,0,0,60376920,60376920,62627200
3;L;0,1;20201117/50000000,40735381/100000000;10,4040223400,0,5832000000,5832000000,3574915321,447679466959;8,40735381,0,58570000,58570000,35863439,143093279
3;L;1,2;40735381/100000000,5096503/12500000;8,40735381,0,58570000,58570000,35863439,143093279;10,4077202400,0,5859743513,5859743513,3587598069,19016308901
3;L;2,3;5096503/12500000,10267477/25000000;10,4077202400,0,5859743513,5859743513,3587598069,19016308901;8,41069908,0,58820000,58820000,35977725,103824375
3;L;3,4;10267477/25000000,2054609/5000000;8,41069908,0,58820000,58820000,35977725,103824375;12,410921800000,0,588366083300,588366083300,359853170111,5498618467679
4;C;0,6;38032859/100000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
4;C;6,9;887479/2500000;4,3549,0,0,5907,5907,1194702;4,3549,0,0,5957,5957,8302
4;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
4;L;10,11;35617983/100000000,8946081/25000000;8,35617983,0,0,59680803,59680803,106550382;8,35784324,0,0,59820000,59820000,0
4;L;11,12;8946081/25000000,35800453/100000000;8,35784324,0,0,59820000,59820000,0;10,3580045300,0,0,5983347919,5983347919,1360396738878
5;L;12,13;35800453/100000000,287777/800000;10,3580045300,0,0,5983347919,5983347919,1360396738878;10,3597212500,0,0,5997676623,5997676623,251838631742
5;L;13,14;287777/800000,36084049/100000000;10,3597212500,0,0,5997676623,5997676623,251838631742;8,36084049,0,0,60070000,60070000,0
5;L;14,15;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
5;L;15,16;142129/390625,1458149/4000000;8,36385024,0,0,60320000,60320000,0;8,36453725,0,0,60376920,60376920,62627200
6;L;4,5;2054609/5000000,10168043/25000000;12,410921800000,588366083300,588366083300,0,359853170111,5498618467679;10,4067217200,5886393922,5886393922,0,3470601811,259566436111
6;L;5,6;10168043/25000000,38032859/100000000;10,4067217200,5886393922,5886393922,0,3470601811,259566436111;8,38032859,59070000,59070000,0,25060764,107736304
6;L;6,7;38032859/100000000,18040457/50000000;8,38032859,59070000,59070000,0,25060764,107736304;8,36080914,59320000,59320000,0,13358811,168666279
6;L;7,8;18040457/50000000,887479/2500000;8,36080914,59320000,59320000,0,13358811,168666279;8,35499160,59568974,59568974,0,1704891,19852767
6;L;8,9;887479/2500000,1419983/4000000;8,35499160,59568974,59568974,0,1704891,19852767;8,35499575,59570000,59570000,0,1656857,24881551
6;L;9,10;1419983/4000000,35617983/100000000;8,35499575,59570000,59570000,0,1656857,24881551;8,35617983,59680803,59680803,0,0,106550382
6;L;10,11;35617983/100000000,8946081/25000000;8,35617983,59680803,59680803,0,0,106550382;8,35784324,59820000,59820000,0,0,0
6;L;11,12;8946081/25000000,35800453/100000000;8,35784324,59820000,59820000,0,0,0;10,3580045300,5983347919,5983347919,0,0,1360396738878
6;L;12,13;35800453/100000000,287777/800000;10,3580045300,5983347919,5983347919,0,0,1360396738878;10,3597212500,5997676623,5997676623,0,0,251838631742
6;L;13,14;287777/800000,36084049/100000000;10,3597212500,5997676623,5997676623,0,0,251838631742;8,36084049,60070000,60070000,0,0,0
6;L;14,15;36084049/100000000,142129/390625;8,36084049,60070000,60070000,0,0,0;8,36385024,60320000,60320000,0,0,0
6;L;15,16;142129/390625,1458149/4000000;8,36385024,60320000,60320000,0,0,0;8,36453725,60376920,60376920,0,0,62627200
7;C;0,4;20201117/50000000;4,4040,453,3104,5832,5832,2935527;4,4040,457,3132,5884,5884,1538815
8;C;0,6;38032859/100000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
8;C;6,9;887479/2500000;4,3549,0,0,5907,5907,1194702;4,3549,0,0,5957,5957,8302
8;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
8;L;10,11;35617983/100000000,8946081/25000000;8,35617983,0,0,59680803,59680803,106550382;8,35784324,0,0,59820000,59820000,0
8;L;11,12;8946081/25000000,35800453/100000000;8,35784324,0,0,59820000,59820000,0;10,3580045300,0,0,5983347919,5983347919,1360396738878
8;L;12,13;35800453/100000000,287777/800000;10,3580045300,0,0,5983347919,5983347919,1360396738878;10,3597212500,0,0,5997676623,5997676623,251838631742
9;C;0,4;20201117/50000000;4,4040,349,5832,5832,3136,2819255;4,4040,457,5884,5884,3132,1538815
10;C;0,6;38032859/100000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
10;C;6,9;887479/2500000;4,3549,0,0,5907,5907,1194702;4,3549,0,0,5957,5957,8302
10;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
10;L;10,11;35617983/100000000,8946081/25000000;8,35617983,0,0,59680803,59680803,106550382;8,35784324,0,0,59820000,59820000,0
10;L;11,12;8946081/25000000,35800453/100000000;8,35784324,0,0,59820000,59820000,0;10,3580045300,0,0,5983347919,5983347919,1360396738878
10;L;12,13;35800453/100000000,287777/800000;10,3580045300,0,0,5983347919,5983347919,1360396738878;10,3597212500,0,0,5997676623,5997676623,251838631742
11;C;4,5;10168043/25000000;4,4067,5884,5884,457,3132,2078815;2,40,59,59,5,30,113
11;L;5,6;10168043/25000000,38032859/100000000;2,40,59,59,5,30,113;4,3803,5907,5907,8,1943,2499389
11;L;6,7;38032859/100000000,18040457/50000000;4,3803,5907,5907,8,1943,2499389;4,3608,5932,5932,0,670,1333852
11;C;7,8;887479/2500000;4,3549,5932,5932,0,670,153852;4,3549,5957,5957,0,0,8302
11;C;8,9;887479/2500000;4,3549,5957,5957,0,0,8302;4,3549,5957,5957,0,0,8302
11;L;9,10;1419983/4000000,35617983/100000000;4,3549,5957,5957,0,0,8302;8,35617983,59680803,59680803,0,0,106550382
11;L;10,11;35617983/100000000,8946081/25000000;8,35617983,59680803,59680803,0,0,106550382;8,35784324,59820000,59820000,0,0,0
11;L;11,12;8946081/25000000,35800453/100000000;8,35784324,59820000,59820000,0,0,0;10,3580045300,5983347919,5983347919,0,0,1360396738878
11;L;12,13;35800453/100000000,287777/800000;10,3580045300,5983347919,5983347919,0,0,1360396738878;10,3597212500,5997676623,5997676623,0,0,251838631742
12;C;0,17;887479/2500000;2,35,0,0,47,59,1310;2,35,0,0,49,61,878
13;C;0,17;887479/2500000;2,35,0,0,59,50,1019;2,35,0,0,61,49,878
14;C;13,17;287777/800000;10,3597212500,5997676623,0,0,5997676623,251838631742;2,35,61,0,0,49,878
15;C;0,5;20201117/50000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
15;C;5,7;18040457/50000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
15;C;7,8;887479/2500000;4,3549,0,0,5932,5932,602752;4,3549,0,0,5957,5957,8302
15;C;8,9;887479/2500000;4,3549,0,0,5957,5957,8302;4,3549,0,0,5957,5957,8302
15;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
16;C;0,17;887479/2500000;2,35,0,0,37,59,2150;2,35,0,0,38,61,1835
17;C;0,5;20201117/50000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
17;C;5,7;18040457/50000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
17;C;7,8;887479/2500000;4,3549,0,0,5932,5932,602752;4,3549,0,0,5957,5957,8302
17;C;8,9;887479/2500000;4,3549,0,0,5957,5957,8302;4,3549,0,0,5957,5957,8302
17;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
18;C;0,17;887479/2500000;2,35,0,0,59,40,1919;2,35,0,0,61,38,1835
19;C;10,17;35617983/100000000;8,35617983,59680803,0,0,59680803,106550382;2,35,61,0,0,38,1835
20;C;0,8;887479/2500000;2,35,0,0,58,59,155;4,3549,0,0,5896,5957,731335
20;C;8,12;887479/2500000;4,3549,0,0,5896,5957,731335;4,3549,0,0,5923,5984,89815
20;C;12,14;35800453/100000000;4,3580,0,0,5923,5984,709815;4,3580,0,0,5946,6007,161035
20;C;14,15;36084049/100000000;4,3608,0,0,5946,6007,721035;4,3608,0,0,5971,6032,122135
20;C;15,17;142129/390625;4,3638,0,0,5971,6032,722135;4,3638,0,0,5979,6041,517878
21;L;12,13;35800453/100000000,287777/800000;10,3580045300,0,0,5983347919,5983347919,1360396738878;4,3597,0,0,5998,5983,167707
21;C;13,14;287777/800000;4,3597,0,0,5998,5983,167707;4,3597,0,0,6007,5982,71627
21;C;14,15;36084049/100000000;4,3608,0,0,6007,5982,291627;4,3608,0,0,6032,5980,14576
21;C;15,17;142129/390625;4,3638,0,0,6032,5980,614576;4,3638,0,0,6041,5979,517878
22;C;16,17;1458149/4000000;8,36453725,60376920,0,0,60376920,62627200;4,3645,6041,0,0,5979,657878
23;C;0,4;20201117/50000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
24;C;0,9;887479/2500000;2,35,0,0,59,59,38;4,3549,0,0,5957,5957,8302
24;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
24;L;10,11;35617983/100000000,8946081/25000000;8,35617983,0,0,59680803,59680803,106550382;8,35784324,0,0,59820000,59820000,0
24;L;11,12;8946081/25000000,35800453/100000000;8,35784324,0,0,59820000,59820000,0;10,3580045300,0,0,5983347919,5983347919,1360396738878
24;L;12,13;35800453/100000000,287777/800000;10,3580045300,0,0,5983347919,5983347919,1360396738878;10,3597212500,0,0,5997676623,5997676623,251838631742
24;L;13,14;287777/800000,36084049/100000000;10,3597212500,0,0,5997676623,5997676623,251838631742;8,36084049,0,0,60070000,60070000,0
24;L;14,15;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
24;L;15,16;142129/390625,1458149/4000000;8,36385024,0,0,60320000,60320000,0;8,36453725,0,0,60376920,60376920,62627200
24;L;16,17;1458149/4000000,36485613/100000000;8,36453725,0,0,60376920,60376920,62627200;10,3648561300,0,0,6040332185,6040332185,189706251550
24;L;17,18;36485613/100000000,733331/2000000;10,3648561300,0,0,6040332185,6040332185,189706251550;10,3666655000,0,0,6055291021,6055291021,1301993555118
25;C;0,4;20201117/50000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
26;C;0,9;887479/2500000;2,35,0,0,59,59,38;4,3549,0,0,5957,5957,8302
26;L;9,10;1419983/4000000,35617983/100000000;4,3549,0,0,5957,5957,8302;8,35617983,0,0,59680803,59680803,106550382
26;L;10,11;35617983/100000000,8946081/25000000;8,35617983,0,0,59680803,59680803,106550382;8,35784324,0,0,59820000,59820000,0
26;L;11,12;8946081/25000000,35800453/100000000;8,35784324,0,0,59820000,59820000,0;10,3580045300,0,0,5983347919,5983347919,1360396738878
26;L;12,13;35800453/100000000,287777/800000;10,3580045300,0,0,5983347919,5983347919,1360396738878;10,3597212500,0,0,5997676623,5997676623,251838631742
26;L;13,14;287777/800000,36084049/100000000;10,3597212500,0,0,5997676623,5997676623,251838631742;8,36084049,0,0,60070000,60070000,0
26;L;14,15;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
26;L;15,16;142129/390625,1458149/4000000;8,36385024,0,0,60320000,60320000,0;8,36453725,0,0,60376920,60376920,62627200
26;L;16,17;1458149/4000000,36485613/100000000;8,36453725,0,0,60376920,60376920,62627200;10,3648561300,0,0,6040332185,6040332185,189706251550
26;L;17,18;36485613/100000000,733331/2000000;10,3648561300,0,0,6040332185,6040332185,189706251550;10,3666655000,0,0,6055291021,6055291021,1301993555118
27;C;4,7;18040457/50000000;2,36,59,59,0,0,238;2,36,60,60,0,0,0
27;C;7,9;887479/2500000;4,3549,5932,5932,0,0,602752;4,3549,5957,5957,0,0,8302
27;L;9,10;1419983/4000000,35617983/100000000;4,3549,5957,5957,0,0,8302;8,35617983,59680803,59680803,0,0,106550382
27;L;10,11;35617983/100000000,8946081/25000000;8,35617983,59680803,59680803,0,0,106550382;8,35784324,59820000,59820000,0,0,0
27;L;11,12;8946081/25000000,35800453/100000000;8,35784324,59820000,59820000,0,0,0;10,3580045300,5983347919,5983347919,0,0,1360396738878
27;L;12,13;35800453/100000000,287777/800000;10,3580045300,5983347919,5983347919,0,0,1360396738878;10,3597212500,5997676623,5997676623,0,0,251838631742
27;L;13,14;287777/800000,36084049/100000000;10,3597212500,5997676623,5997676623,0,0,251838631742;8,36084049,60070000,60070000,0,0,0
27;L;14,15;36084049/100000000,142129/390625;8,36084049,60070000,60070000,0,0,0;8,36385024,60320000,60320000,0,0,0
27;L;15,16;142129/390625,1458149/4000000;8,36385024,60320000,60320000,0,0,0;8,36453725,60376920,60376920,0,0,62627200
27;L;16,17;1458149/4000000,36485613/100000000;8,36453725,60376920,60376920,0,0,62627200;10,3648561300,6040332185,6040332185,0,0,189706251550
27;L;17,18;36485613/100000000,733331/2000000;10,3648561300,6040332185,6040332185,0,0,189706251550;10,3666655000,6055291021,6055291021,0,0,1301993555118
28;C;0,4;20201117/50000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
29;C;0,8;887479/2500000;2,35,0,0,59,59,38;4,3549,0,0,5957,5957,8302
30;C;0,4;20201117/50000000;2,40,0,59,59,0,1038;2,40,0,59,59,0,1038
31;C;0,8;887479/2500000;2,35,0,0,59,59,38;4,3549,0,0,5957,5957,8302
32;C;4,8;887479/2500000;2,35,59,59,0,0,38;4,3549,5957,5957,0,0,8302
33;C;0,5;20201117/50000000;2,40,0,0,20,59,4119;2,40,0,0,21,59,4078
34;C;0,43;13528959/50000000;2,27,0,0,20,59,1519;2,27,0,0,23,66,515
35;C;0,51;23619329/100000000;2,23,0,0,59,21,678;10,2361932900,0,0,6775359535,1154625607,879144465326
36;C;5,43;13528959/50000000;2,27,0,0,21,59,1478;2,27,0,0,23,66,515
37;C;8,18;887479/2500000;4,3549,5957,0,0,5957,8302;2,35,61,0,0,54,363
37;C;18,23;43483/125000;2,34,61,0,0,54,163;2,34,62,0,0,50,456
37;C;23,29;15795727/50000000;4,3159,6132,0,0,4930,1273676;2,31,63,0,0,41,550
37;C;29,34;14707899/50000000;2,29,63,0,0,41,150;2,29,65,0,0,34,419
37;C;34,40;5536537/20000000;2,27,65,0,0,34,19;2,27,66,0,0,26,368
37;C;40,45;12846797/50000000;4,2569,6532,0,0,2583,2041087;2,25,67,0,0,20,111
37;C;45,46;4991261/20000000;4,2495,6632,0,0,1996,1932560;4,2495,6657,0,0,1850,2161851
37;C;46,47;24236587/100000000;4,2423,6657,0,0,1850,721851;4,2423,6682,0,0,1703,910667
37;L;47,48;24236587/100000000,11851029/50000000;4,2423,6682,0,0,1703,910667;8,23702058,67070000,0,0,15557206,41473564
37;L;48,49;11851029/50000000,11826301/50000000;8,23702058,67070000,0,0,15557206,41473564;8,23652602,67320000,0,0,14090348,93238896
37;L;49,50;11826301/50000000,23625287/100000000;8,23652602,67320000,0,0,14090348,93238896;8,23625287,67570000,0,0,12623490,219900
37;L;50,51;23625287/100000000,23619329/100000000;8,23625287,67570000,0,0,12623490,219900;10,2361932900,6775359535,0,0,1154625607,879144465326
38;C;0,51;23619329/100000000;2,23,0,0,20,49,1799;2,23,0,0,24,57,775
39;C;5,51;23619329/100000000;2,23,0,0,21,59,678;2,23,0,0,24,57,775
40;C;43,45;12846797/50000000;2,25,23,0,0,66,115;2,25,23,0,0,64,375
40;C;45,47;24236587/100000000;2,24,23,0,0,64,175;2,24,23,0,0,61,550
40;C;47,51;23619329/100000000;2,23,23,0,0,61,350;2,23,24,0,0,57,775
41;C;0,4;20201117/50000000;2,40,0,0,58,59,1155;2,40,0,0,59,59,1038
42;C;0,2;20201117/50000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
43;C;0,51;23619329/100000000;2,23,0,0,1,59,1118;4,2361,0,0,18,6776,1305500
44;C;2,4;5096503/12500000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
45;C;0,2;20201117/50000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
46;C;0,51;23619329/100000000;2,23,0,0,59,16,863;4,2361,0,0,6776,18,1305500
47;C;4,15;887479/2500000;2,35,59,0,0,59,38;2,35,61,0,0,49,878
47;C;15,27;32585629/100000000;2,32,61,0,0,49,278;2,32,63,0,0,36,1135
47;C;27,39;1749619/6250000;2,27,63,0,0,36,135;2,27,66,0,0,18,720
47;C;39,51;23619329/100000000;4,2361,6507,0,0,1765,1763726;4,2361,6776,0,0,18,1305500
48;C;0,51;23619329/100000000;2,23,0,0,10,59,1019;10,2361932900,0,0,1154625607,6775359535,879144465326
49;C;0,5;20201117/50000000;2,40,0,0,26,59,3843;2,40,0,0,26,59,3843
50;C;0,43;13528959/50000000;2,27,0,0,29,59,1078;8,27057918,0,0,32747931,65872275,1543614
51;C;0,5;20201117/50000000;2,40,0,0,59,26,3843;2,40,0,0,59,26,3843
52;C;5,43;13528959/50000000;2,27,0,0,26,59,1243;8,27057918,0,0,32747931,65872275,1543614
53;L;18,19;733331/2000000,36622847/100000000;10,3666655000,6055291021,0,0,6055291021,1301993555118;10,3662284700,6057000000,0,0,6046357975,238153899375
53;L;19,20;36622847/100000000,1803727/5000000;10,3662284700,6057000000,0,0,6046357975,238153899375;8,36074540,60787234,0,0,59328071,174048203
53;L;20,21;1803727/5000000,35992997/100000000;8,36074540,60787234,0,0,59328071,174048203;8,35992997,60820000,0,0,59156799,132073599
53;L;21,22;35992997/100000000,2211303/6250000;8,35992997,60820000,0,0,59156799,132073599;8,35380848,61070000,0,0,57850018,117399676
53;L;22,23;2211303/6250000,43483/125000;8,35380848,61070000,0,0,57850018,117399676;10,3478640000,6132000000,0,0,5654323638,196754444956
53;L;23,24;43483/125000,6841931/20000000;10,3478640000,6132000000,0,0,5654323638,196754444956;8,34209655,61570000,0,0,55236456,28560064
53;L;24,25;6841931/20000000,33650611/100000000;8,34209655,61570000,0,0,55236456,28560064;10,3365061100,6182000000,0,0,5392967413,482320087431
53;L;25,26;33650611/100000000,33109269/100000000;10,3365061100,6182000000,0,0,5392967413,482320087431;8,33109269,62070000,0,0,52622893,32310551
53;L;26,27;33109269/100000000,32585629/100000000;8,33109269,62070000,0,0,52622893,32310551;8,32585629,62320000,0,0,51316112,49203456
53;L;27,28;32585629/100000000,32079691/100000000;8,32585629,62320000,0,0,51316112,49203456;8,32079691,62570000,0,0,50009331,112932439
53;L;28,29;32079691/100000000,15795727/50000000;8,32079691,62570000,0,0,50009331,112932439;8,31591454,62820000,0,0,48702550,23497500
53;L;29,30;15795727/50000000,31120919/100000000;8,31591454,62820000,0,0,48702550,23497500;10,3112091900,6307000000,0,0,4739576850,282944077500
53;L;30,31;31120919/100000000,15334043/50000000;10,3112091900,6307000000,0,0,4739576850,282944077500;10,3066808600,6332000000,0,0,4608898738,422862007356
53;L;31,32;15334043/50000000,6046591/20000000;10,3066808600,6332000000,0,0,4608898738,422862007356;8,30232955,63570000,0,0,44782207,36209151
53;L;32,33;6046591/20000000,1192621/4000000;8,30232955,63570000,0,0,44782207,36209151;10,2981552500,6382000000,0,0,4347542513,97657644831
53;L;33,34;1192621/4000000,14707899/50000000;10,2981552500,6382000000,0,0,4347542513,97657644831;8,29415798,64070000,0,0,42168644,163201264
53;L;34,35;14707899/50000000,7258443/25000000;8,29415798,64070000,0,0,42168644,163201264;8,29033772,64320000,0,0,40861863,152169231
53;L;35,36;7258443/25000000,28978083/100000000;8,29033772,64320000,0,0,40861863,152169231;10,2897808300,6435744025,0,0,4066615806,731067769739
53;L;36,37;28978083/100000000,28669447/100000000;10,2897808300,6435744025,0,0,4066615806,731067769739;10,2866944700,6457000000,0,0,3955508175,77508169375
53;L;37,38;28669447/100000000,1132913/4000000;10,2866944700,6457000000,0,0,3955508175,77508169375;8,28322825,64820000,0,0,38248301,70613399
53;L;38,39;1132913/4000000,1749619/6250000;8,28322825,64820000,0,0,38248301,70613399;8,27993904,65070000,0,0,36941520,89600
53;L;39,40;1749619/6250000,5536537/20000000;8,27993904,65070000,0,0,36941520,89600;10,2768268500,6532000000,0,0,3563473838,205889549756
53;L;40,41;5536537/20000000,1711823/6250000;10,2768268500,6532000000,0,0,3563473838,205889549756;10,2738916800,6557000000,0,0,3432795725,510421724375
53;L;41,42;1711823/6250000,27113353/100000000;10,2738916800,6557000000,0,0,3432795725,510421724375;8,27113353,65820000,0,0,33021177,69534671
53;L;42,43;27113353/100000000,13528959/50000000;8,27113353,65820000,0,0,33021177,69534671;8,27057918,65872275,0,0,32747931,1543614
54;C;0,51;23619329/100000000;2,23,0,0,30,49,1299;2,23,0,0,35,57,126
55;C;5,51;23619329/100000000;2,23,0,0,26,59,443;2,23,0,0,35,57,126
56;L;43,44;13528959/50000000,13224227/50000000;8,27057918,32747931,0,0,65872275,1543614;8,26448454,32942328,0,0,64842068,43423792
56;L;44,45;13224227/50000000,12846797/50000000;8,26448454,32942328,0,0,64842068,43423792;8,25693594,33188120,0,0,63539495,66010575
56;L;45,46;12846797/50000000,4991261/20000000;8,25693594,33188120,0,0,63539495,66010575;8,24956305,33433911,0,0,62236923,10736150
56;L;46,47;4991261/20000000,24236587/100000000;8,24956305,33433911,0,0,62236923,10736150;8,24236587,33679702,0,0,60934350,63268696
56;L;47,48;24236587/100000000,11851029/50000000;8,24236587,33679702,0,0,60934350,63268696;4,2370,3393,0,0,5964,318255
56;C;48,49;11826301/50000000;4,2365,3393,0,0,5964,218255;4,2365,3418,0,0,5833,1593387
56;C;49,51;23619329/100000000;4,2361,3418,0,0,5833,1513387;2,23,35,0,0,57,126
57;C;0,4;20201117/50000000;2,40,0,0,28,59,3735;2,40,0,0,28,59,3735
58;C;0,20;887479/2500000;2,35,0,0,16,59,3263;2,35,0,0,17,61,2990
59;C;0,4;20201117/50000000;2,40,0,0,59,29,3678;2,40,0,0,59,28,3735
60;C;0,20;887479/2500000;2,35,0,0,16,59,3263;2,35,0,0,17,61,2990
61;C;4,36;28978083/100000000;2,28,59,0,0,28,1335;2,28,65,0,0,0,1375
62;C;0,36;28978083/100000000;2,28,0,0,16,39,3823;2,28,0,0,18,43,3427
63;C;0,36;28978083/100000000;2,28,0,0,16,46,3228;2,28,0,0,18,43,3427
64;C;20,36;28978083/100000000;2,28,17,0,0,61,1590;2,28,18,0,0,43,3427
65;C;0,4;20201117/50000000;2,40,0,0,22,59,4035;2,40,0,0,22,59,4035
66;C;0,36;28978083/100000000;2,28,0,0,0,59,2119;2,28,0,0,0,65,1375
67;C;0,4;20201117/50000000;2,40,0,0,59,23,3990;2,40,0,0,59,22,4035
68;C;0,36;28978083/100000000;2,28,0,0,59,0,2119;2,28,0,0,65,0,1375
69;C;4,36;28978083/100000000;2,28,59,0,0,22,1635;2,28,65,0,0,0,1375
70;C;0,36;28978083/100000000;2,28,0,0,0,59,2119;2,28,0,0,0,65,1375
71;C;0,36;28978083/100000000;2,28,0,0,59,4,2103;2,28,0,0,65,0,1375
72;C;0,4;20201117/50000000;2,40,0,0,34,59,3363;2,40,0,0,35,59,3294
73;C;0,20;887479/2500000;2,35,0,0,23,59,2990;2,35,0,0,24,61,2703
74;C;0,4;20201117/50000000;2,40,0,0,59,35,3294;2,40,0,0,59,35,3294
75;C;0,20;887479/2500000;2,35,0,0,22,59,3035;2,35,0,0,24,61,2703
76;C;4,20;887479/2500000;2,35,59,0,0,35,2294;2,35,61,0,0,24,2703
77;C;0,36;28978083/100000000;2,28,0,0,24,39,3503;2,28,0,0,27,43,3022
78;C;0,36;28978083/100000000;2,28,0,0,21,46,3043;2,28,0,0,27,43,3022
79;C;20,36;28978083/100000000;2,28,24,0,0,61,1303;2,28,27,0,0,43,3022
MASS SLACK NUMERATOR 2821485161540339881287477539526421391220722076566756759387839165414538748179609644013377495515737844167831598109779367708321
BIN 12: PATH0; (41/35,83/70]; gamma0=5851/10000; mass ceiling=97767791/100000000.
GAMMA 0=5851/10000;1=37771650000/64477951967;2=1469/2500;3=5901/10000;4=89572770000/151755644567;5=2963/5000;6=5951/10000;7=85435875000/143481854567;8=747/1250;9=54678960000/91284671837;10=6001/10000;11=23832112500/39564068041;12=3013/5000;13=6051/10000;14=78421140000/129452384567;15=40649490000/66971600327;16=1519/2500;17=82138350000/135124847027;18=39210570000/64477951967;19=6101/10000;20=3063/5000;21=6151/10000;22=386/625;23=6201/10000;24=3113/5000;25=6251/10000;26=1569/2500;27=6301/10000;28=3163/5000;29=6351/10000;30=797/1250;31=6401/10000;32=3213/5000;33=6451/10000;34=35343472500/54754027021;35=1619/2500;36=6501/10000;37=3263/5000;38=6551/10000;39=411/625;40=56957250000/86524604567;41=6601/10000;42=3313/5000;43=6651/10000;44=1669/2500;45=6701/10000;46=3363/5000;47=6751/10000;48=847/1250;49=51801120000/76212344567;50=6801/10000;51=3413/5000;52=6851/10000;53=1719/2500;54=6901/10000;55=3463/5000;56=6951/10000;57=436/625;58=7001/10000;59=3513/5000;60=7051/10000;61=1769/2500;62=7101/10000;63=3563/5000;64=7151/10000;65=897/1250;66=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40344071,40437716;1,2,40437716,40675592;2,3,40675592,41008483;3,4,41008483,41027621;4,5,41027621,38338129;5,6,38338129,36536528;6,7,36536528,36371919;7,8,36371919,35817547;8,9,35817547,35879368;9,10,35879368,36012001;10,11,36012001,36284672;11,12,36284672,36312676;12,13,36312676,36614601;13,14,36614601,36698321;14,15,36698321,36840783;15,16,36840783,36226916;16,17,36226916,36157355;17,18,36157355,36092226;18,19,36092226,35591238;19,20,35591238,34974053;20,21,34974053,34375360;21,22,34375360,33795158;22,23,33795158,33233449;23,24,33233449,32690233;24,25,32690233,32165508;25,26,32165508,31659275;26,27,31659275,31171535;27,28,31171535,30702287;28,29,30702287,30251530;29,30,30251530,29819266;30,31,29819266,29405495;31,32,29405495,29010215;32,33,29010215,28633427;33,34,28633427,28575529;34,35,28575529,28275132;35,36,28275132,27935329;36,37,27935329,27614018;37,38,27614018,27311199;38,39,27311199,27026872;39,40,27026872,26952942;40,41,26952942,26374883;41,42,26374883,25597783;42,43,25597783,24839305;43,44,24839305,24099449;44,45,24099449,23502246;45,46,23502246,23462784;46,47,23462784,23446707;47,48,23446707,23454015;48,49,23454015,23478143;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0;65,66,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;129936221417/37771650000,1/3,151755644567/75543300000;-636111276361517
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;152/105,5/3,109/210;-22
10;6;1;-1
11;2,3,7;53/42,4/3,109/210;-31
14;6;1;-1
15;2,3,10;53/42,4/3,109/210;-31
17;2,3,5;17/35,11/3,109/210;-15
18;1,4,8;93570516167/25181100000,4/3,151755644567/75543300000;-384300276361517
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;53/42,4/3,109/210;-31
29;1,3,9;101/105,10/3,83/70;-101
30;1,4,11;93570516167/25181100000,4/3,151755644567/75543300000;-384300276361517
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;53/42,4/3,109/210;-31
41;1,3,12;101/105,10/3,83/70;-101
42;1,4,14;129936221417/37771650000,1/3,151755644567/75543300000;-636111276361517
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;53/42,4/3,109/210;-31
56;2,3,7;53/42,4/3,109/210;-31
58;2,3,10;53/42,4/3,109/210;-31
59;2,3,13;17/35,11/3,109/210;-15
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;257/105,5/3,24/35;-31
70;6;1;-1
74;6;1;-1
77;2,3,5;52/35,4,24/35;-4
78;1,4,8;134968244567/25181100000,1/3,151755644567/75543300000;-762016776361517
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;34243844567/12590550000,14/3,151755644567/75543300000;-6583776361517
86;8;1;-1
89;1,3,9;101/105,10/3,83/70;-101
90;1,4,11;134968244567/25181100000,1/3,151755644567/75543300000;-762016776361517
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;34243844567/12590550000,14/3,151755644567/75543300000;-6583776361517
98;11;1;-1
101;1,3,12;101/105,10/3,83/70;-101
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;257/105,5/3,24/35;-31
119;2,3,13;52/35,4,24/35;-4
120;0,1,6;5/3,2,1;-1
121;1,4,6;20335748423/4721456250,5/3,151755644567/75543300000;-258394776361517
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;362/105,13/6,131/140;-31
130;6;1;-1
132;1,4,6;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
134;6;1;-1
137;2,3,5;87/35,5,131/140;-9
138;0,1,8;2/3,3,1;-2
139;1,4,8;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;48483756617/12590550000,11/3,151755644567/75543300000;-195442026361517
144;1,4,8;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
146;8;1;-1
149;1,3,9;101/105,10/3,83/70;-101
150;0,1,11;2/3,3,1;-2
151;1,4,11;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;48483756617/12590550000,11/3,151755644567/75543300000;-195442026361517
156;1,4,11;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
158;11;1;-1
161;1,3,12;101/105,10/3,83/70;-101
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;61627451447/15108660000,8/3,151755644567/75543300000;-216426276361517
169;14;1;-1
171;1,4,14;20335748423/4721456250,5/3,151755644567/75543300000;-258394776361517
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;362/105,13/6,131/140;-31
179;2,3,13;87/35,5,131/140;-9
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,2,6,3;546379654693810,38045267832600000000000000,912006082166,4,9520
4;1,4,6,3;546379654693810,13017427625723407688340000,1147736165874312,3262
5;5,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
12;1,4,6,3;546379654693810,13017427625723407688340000,1147736165874312,3262
13;5,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
16;5,4,2,3;443904477859955,3147473669694369737400000,3117492638627430,4515
19;1,4,8,3;546379654693810,13017427625723407688340000,1147736165874312,3262
22;1,4,8,3;546379654693810,9179743496276008542600000,443904477859955,3395
23;7,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
24;1,4,8,3;546379654693810,13017427625723407688340000,1147736165874312,3262
25;7,2,3;4,8,840
28;7,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
31;1,4,11,3;546379654693810,13017427625723407688340000,1147736165874312,3262
34;1,4,11,3;546379654693810,9179743496276008542600000,443904477859955,3395
35;10,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
36;1,4,11,3;546379654693810,13017427625723407688340000,1147736165874312,3262
37;10,2,3;4,8,840
40;10,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
44;1,4,14,3;546379654693810,13017427625723407688340000,1147736165874312,3262
48;1,4,14,3;546379654693810,13017427625723407688340000,1147736165874312,3262
50;13,4,2,3;443904477859955,3147473669694369737400000,3117492638627430,4515
51;1,4,2,14,3;546379654693810,38045267832600000000000000,912006082166,4,9520
53;13,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
57;13,4,2,3;1147736165874312,1881594606909932763660000,3117492638627430,1974
61;1,4,6,3;546379654693810,4506978382669506406950000,2812477279340715,1085
64;1,4,6,3;546379654693810,1603847275943407688340000,1247099189992572,322
65;5,4,9,3;1247099189992572,15108660000,7977946873488858,42
71;7,4,2,3;7977946873488858,158616093221838874440000,2523247017846905,301
72;1,4,6,3;546379654693810,1603847275943407688340000,1247099189992572,322
73;5,4,12,3;1247099189992572,15108660000,7977946873488858,42
75;10,4,2,3;7977946873488858,158616093221838874440000,2523247017846905,301
76;1,4,2,3;546379654693810,28533950874450000000000000,2523247017846905,1225
79;1,4,8,3;546379654693810,1603847275943407688340000,1247099189992572,322
83;7,4,2,3;1247099189992572,6895846010537758311660000,2523247017846905,1309
84;1,4,8,3;546379654693810,1603847275943407688340000,1247099189992572,322
85;7,4,12,3;2812477279340715,3834098810589820718610000,7977946873488858,3759
87;10,4,2,3;7977946873488858,158616093221838874440000,2523247017846905,301
88;7,4,2,3;1247099189992572,6895846010537758311660000,2523247017846905,1309
91;1,4,11,3;546379654693810,1603847275943407688340000,1247099189992572,322
95;10,4,2,3;1247099189992572,6895846010537758311660000,2523247017846905,1309
96;1,4,11,3;546379654693810,1603847275943407688340000,1247099189992572,322
97;10,4,9,3;2812477279340715,3834098810589820718610000,7977946873488858,3759
99;7,4,2,3;7977946873488858,158616093221838874440000,2523247017846905,301
100;10,4,2,3;1247099189992572,6895846010537758311660000,2523247017846905,1309
104;1,4,14,3;546379654693810,1603847275943407688340000,1247099189992572,322
108;1,4,14,3;546379654693810,1603847275943407688340000,1247099189992572,322
110;1,4,2,3;546379654693810,28533950874450000000000000,2523247017846905,1225
111;1,4,14,3;546379654693810,4506978382669506406950000,2812477279340715,1085
113;13,4,9,3;1247099189992572,15108660000,7977946873488858,42
116;7,4,2,3;7977946873488858,158616093221838874440000,2523247017846905,301
117;13,4,12,3;1247099189992572,15108660000,7977946873488858,42
118;10,4,2,3;7977946873488858,158616093221838874440000,2523247017846905,301
125;1,4,9,3;546379654693810,3605582706135605125560000,3876770525672898,868
131;7,4,2,3;3876770525672898,1595976846854173965720000,4629647806018060,2674
133;1,4,12,3;546379654693810,3605582706135605125560000,3876770525672898,868
135;10,4,2,3;3876770525672898,1595976846854173965720000,4629647806018060,2674
136;1,4,2,3;546379654693810,7133487718612500000000000,4629647806018060,2450
143;1,4,2,3;546379654693810,7133487718612500000000000,4629647806018060,2450
145;1,4,12,3;546379654693810,3605582706135605125560000,3876770525672898,868
147;10,4,2,3;3876770525672898,1595976846854173965720000,4629647806018060,2674
148;1,4,2,3;546379654693810,7133487718612500000000000,4629647806018060,2450
155;1,4,2,3;546379654693810,7133487718612500000000000,4629647806018060,2450
157;1,4,9,3;546379654693810,3605582706135605125560000,3876770525672898,868
159;7,4,2,3;3876770525672898,1595976846854173965720000,4629647806018060,2674
160;1,4,2,3;546379654693810,7133487718612500000000000,4629647806018060,2450
170;1,4,2,3;546379654693810,7133487718612500000000000,4629647806018060,2450
173;1,4,9,3;546379654693810,3605582706135605125560000,3876770525672898,868
176;7,4,2,3;3876770525672898,1595976846854173965720000,4629647806018060,2674
177;1,4,12,3;546379654693810,3605582706135605125560000,3876770525672898,868
178;10,4,2,3;3876770525672898,1595976846854173965720000,4629647806018060,2674
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;2,6
2;1;V;6,3
3;1;E;4,1
4;1;E;4,2
5;1;E;4,6
6;1;E;4,3
7;4;V;3,1
8;4;V;6,3
9;4;E;4,1
10;4;E;4,6
11;4;E;4,3
12;5;V;2,3
13;5;E;4,2
14;5;E;4,3
15;16;V;3,5
16;16;V;2,3
17;16;E;4,5
18;16;E;4,2
19;16;E;4,3
20;25;V;2,3
21;25;E;4,2
22;25;E;4,3
23;61;V;3,1
24;61;V;6,3
25;61;E;4,1
26;61;E;4,6
27;61;E;4,3
28;64;V;3,1
29;64;V;6,3
30;64;E;4,1
31;64;E;4,6
32;64;E;4,3
33;65;V;9,3
34;65;E;4,9
35;65;E;4,3
36;71;V;2,3
37;71;E;4,2
38;71;E;4,3
39;76;V;3,1
40;76;V;2,3
41;76;E;4,1
42;76;E;4,2
43;76;E;4,3
44;83;V;2,3
45;83;E;4,2
46;85;V;12,3
47;85;E;4,12
48;85;E;4,3
49;87;V;2,3
50;87;E;4,2
51;87;E;4,3
52;125;V;3,1
53;125;V;9,3
54;125;E;4,1
55;125;E;4,9
56;125;E;4,3
57;131;V;2,3
58;131;E;4,2
59;131;E;4,3
60;136;V;3,1
61;136;V;2,3
62;136;E;4,1
63;136;E;4,2
64;136;E;4,3
65;143;V;2,3
66;143;E;4,2
67;145;V;3,1
68;145;V;12,3
69;145;E;4,1
70;145;E;4,12
71;145;E;4,3
72;147;V;2,3
73;147;E;4,2
74;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/4;V/2,6/1/0/1;V/6,3/2/0/15;E/4,1/3/0/4;E/4,2/4/0/1;E/4,6/5/1/15;E/4,3/6/4/15
4:V/3,1/7/0/4;V/6,3/8/0/11;E/4,1/9/0/4;E/4,6/10/0/11;E/4,3/11/4/11
5:V/3,5/8/0/11;V/2,3/12/0/18;E/4,5/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
12:V/3,1/7/0/4;V/6,3/8/0/11;E/4,1/9/0/4;E/4,6/10/0/11;E/4,3/11/4/11
13:V/3,5/8/0/11;V/2,3/12/0/18;E/4,5/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
16:V/3,5/15/0/9;V/2,3/16/0/18;E/4,5/17/0/9;E/4,2/18/0/18;E/4,3/19/9/18
19:V/3,1/0/0/4;V/8,3/8/0/11;E/4,1/3/0/4;E/4,8/10/0/11;E/4,3/6/4/11
22:V/3,1/7/0/4;V/8,3/15/0/9;E/4,1/9/0/4;E/4,8/17/0/9;E/4,3/11/4/9
23:V/3,7/8/0/11;V/2,3/12/0/18;E/4,7/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
24:V/3,1/0/0/4;V/8,3/8/0/11;E/4,1/3/0/4;E/4,8/10/0/11;E/4,3/6/4/11
25:V/3,7/2/0/15;V/7,2/1/0/1;V/2,3/20/0/18;E/4,7/5/1/15;E/4,2/21/1/18;E/4,3/22/15/18
28:V/3,7/8/0/11;V/2,3/12/0/18;E/4,7/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
31:V/3,1/0/0/4;V/11,3/8/0/11;E/4,1/3/0/4;E/4,11/10/0/11;E/4,3/6/4/11
34:V/3,1/7/0/4;V/11,3/15/0/9;E/4,1/9/0/4;E/4,11/17/0/9;E/4,3/11/4/9
35:V/3,10/8/0/11;V/2,3/12/0/18;E/4,10/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
36:V/3,1/0/0/4;V/11,3/8/0/11;E/4,1/3/0/4;E/4,11/10/0/11;E/4,3/6/4/11
37:V/3,10/2/0/15;V/10,2/1/0/1;V/2,3/20/0/18;E/4,10/5/1/15;E/4,2/21/1/18;E/4,3/22/15/18
40:V/3,10/8/0/11;V/2,3/12/0/18;E/4,10/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
44:V/3,1/7/0/4;V/14,3/8/0/11;E/4,1/9/0/4;E/4,14/10/0/11;E/4,3/11/4/11
48:V/3,1/7/0/4;V/14,3/8/0/11;E/4,1/9/0/4;E/4,14/10/0/11;E/4,3/11/4/11
50:V/3,13/15/0/9;V/2,3/16/0/18;E/4,13/17/0/9;E/4,2/18/0/18;E/4,3/19/9/18
51:V/3,1/0/0/4;V/2,14/1/0/1;V/14,3/2/0/15;E/4,1/3/0/4;E/4,2/4/0/1;E/4,14/5/1/15;E/4,3/6/4/15
53:V/3,13/8/0/11;V/2,3/12/0/18;E/4,13/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
57:V/3,13/8/0/11;V/2,3/12/0/18;E/4,13/10/0/11;E/4,2/13/0/18;E/4,3/14/11/18
61:V/3,1/23/0/4;V/6,3/24/0/14;E/4,1/25/0/4;E/4,6/26/0/14;E/4,3/27/4/14
64:V/3,1/28/0/4;V/6,3/29/0/7;E/4,1/30/0/4;E/4,6/31/0/7;E/4,3/32/4/7
65:V/3,5/29/0/7;V/9,3/33/0/40;E/4,5/31/0/7;E/4,9/34/0/40;E/4,3/35/7/40
71:V/3,7/33/0/40;V/2,3/36/0/49;E/4,7/34/0/40;E/4,2/37/0/49;E/4,3/38/40/49
72:V/3,1/28/0/4;V/6,3/29/0/7;E/4,1/30/0/4;E/4,6/31/0/7;E/4,3/32/4/7
73:V/3,5/29/0/7;V/12,3/33/0/40;E/4,5/31/0/7;E/4,12/34/0/40;E/4,3/35/7/40
75:V/3,10/33/0/40;V/2,3/36/0/49;E/4,10/34/0/40;E/4,2/37/0/49;E/4,3/38/40/49
76:V/3,1/39/0/4;V/2,3/40/0/49;E/4,1/41/0/4;E/4,2/42/0/49;E/4,3/43/4/49
79:V/3,1/23/0/4;V/8,3/29/0/7;E/4,1/25/0/4;E/4,8/31/0/7;E/4,3/27/4/7
83:V/3,7/29/0/7;V/2,3/44/0/49;E/4,7/31/0/7;E/4,2/45/0/49;E/4,3/35/7/49
84:V/3,1/23/0/4;V/8,3/29/0/7;E/4,1/25/0/4;E/4,8/31/0/7;E/4,3/27/4/7
85:V/3,7/24/0/14;V/12,3/46/0/40;E/4,7/26/0/14;E/4,12/47/0/40;E/4,3/48/14/40
87:V/3,10/46/0/40;V/2,3/49/0/49;E/4,10/47/0/40;E/4,2/50/0/49;E/4,3/51/40/49
88:V/3,7/29/0/7;V/2,3/44/0/49;E/4,7/31/0/7;E/4,2/45/0/49;E/4,3/35/7/49
91:V/3,1/23/0/4;V/11,3/29/0/7;E/4,1/25/0/4;E/4,11/31/0/7;E/4,3/27/4/7
95:V/3,10/29/0/7;V/2,3/44/0/49;E/4,10/31/0/7;E/4,2/45/0/49;E/4,3/35/7/49
96:V/3,1/23/0/4;V/11,3/29/0/7;E/4,1/25/0/4;E/4,11/31/0/7;E/4,3/27/4/7
97:V/3,10/24/0/14;V/9,3/46/0/40;E/4,10/26/0/14;E/4,9/47/0/40;E/4,3/48/14/40
99:V/3,7/46/0/40;V/2,3/49/0/49;E/4,7/47/0/40;E/4,2/50/0/49;E/4,3/51/40/49
100:V/3,10/29/0/7;V/2,3/44/0/49;E/4,10/31/0/7;E/4,2/45/0/49;E/4,3/35/7/49
104:V/3,1/28/0/4;V/14,3/29/0/7;E/4,1/30/0/4;E/4,14/31/0/7;E/4,3/32/4/7
108:V/3,1/28/0/4;V/14,3/29/0/7;E/4,1/30/0/4;E/4,14/31/0/7;E/4,3/32/4/7
110:V/3,1/39/0/4;V/2,3/40/0/49;E/4,1/41/0/4;E/4,2/42/0/49;E/4,3/43/4/49
111:V/3,1/23/0/4;V/14,3/24/0/14;E/4,1/25/0/4;E/4,14/26/0/14;E/4,3/27/4/14
113:V/3,13/29/0/7;V/9,3/33/0/40;E/4,13/31/0/7;E/4,9/34/0/40;E/4,3/35/7/40
116:V/3,7/33/0/40;V/2,3/36/0/49;E/4,7/34/0/40;E/4,2/37/0/49;E/4,3/38/40/49
117:V/3,13/29/0/7;V/12,3/33/0/40;E/4,13/31/0/7;E/4,12/34/0/40;E/4,3/35/7/40
118:V/3,10/33/0/40;V/2,3/36/0/49;E/4,10/34/0/40;E/4,2/37/0/49;E/4,3/38/40/49
125:V/3,1/52/0/4;V/9,3/53/0/17;E/4,1/54/0/4;E/4,9/55/0/17;E/4,3/56/4/17
131:V/3,7/53/0/17;V/2,3/57/0/34;E/4,7/55/0/17;E/4,2/58/0/34;E/4,3/59/17/34
133:V/3,1/52/0/4;V/12,3/53/0/17;E/4,1/54/0/4;E/4,12/55/0/17;E/4,3/56/4/17
135:V/3,10/53/0/17;V/2,3/57/0/34;E/4,10/55/0/17;E/4,2/58/0/34;E/4,3/59/17/34
136:V/3,1/60/0/4;V/2,3/61/0/34;E/4,1/62/0/4;E/4,2/63/0/34;E/4,3/64/4/34
143:V/3,1/52/0/4;V/2,3/65/0/34;E/4,1/54/0/4;E/4,2/66/0/34;E/4,3/56/4/34
145:V/3,1/67/0/4;V/12,3/68/0/17;E/4,1/69/0/4;E/4,12/70/0/17;E/4,3/71/4/17
147:V/3,10/68/0/17;V/2,3/72/0/34;E/4,10/70/0/17;E/4,2/73/0/34;E/4,3/74/17/34
148:V/3,1/52/0/4;V/2,3/65/0/34;E/4,1/54/0/4;E/4,2/66/0/34;E/4,3/56/4/34
155:V/3,1/52/0/4;V/2,3/65/0/34;E/4,1/54/0/4;E/4,2/66/0/34;E/4,3/56/4/34
157:V/3,1/67/0/4;V/9,3/68/0/17;E/4,1/69/0/4;E/4,9/70/0/17;E/4,3/71/4/17
159:V/3,7/68/0/17;V/2,3/72/0/34;E/4,7/70/0/17;E/4,2/73/0/34;E/4,3/74/17/34
160:V/3,1/52/0/4;V/2,3/65/0/34;E/4,1/54/0/4;E/4,2/66/0/34;E/4,3/56/4/34
170:V/3,1/60/0/4;V/2,3/61/0/34;E/4,1/62/0/4;E/4,2/63/0/34;E/4,3/64/4/34
173:V/3,1/52/0/4;V/9,3/53/0/17;E/4,1/54/0/4;E/4,9/55/0/17;E/4,3/56/4/17
176:V/3,7/53/0/17;V/2,3/57/0/34;E/4,7/55/0/17;E/4,2/58/0/34;E/4,3/59/17/34
177:V/3,1/52/0/4;V/12,3/53/0/17;E/4,1/54/0/4;E/4,12/55/0/17;E/4,3/56/4/17
178:V/3,10/53/0/17;V/2,3/57/0/34;E/4,10/55/0/17;E/4,2/58/0/34;E/4,3/59/17/34
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;40344071/100000000,10109429/25000000;4,4034,0,3488,5851,5851,45454;4,4043,0,3492,5859,5859,10174
0;L;1,2;10109429/25000000,5084449/12500000;4,4043,0,3492,5859,5859,10174;4,4067,0,3503,5876,5876,14239
0;L;2,3;5084449/12500000,41008483/100000000;4,4067,0,3503,5876,5876,14239;6,410084,0,351736,590100,590100,13766304
0;L;3,4;41008483/100000000,41027621/100000000;6,410084,0,351736,590100,590100,13766304;10,4102762100,0,3518207455,5902434157,5902434157,348141821677
1;C;0,1;40344071/100000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
2;C;0,7;36371919/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
2;C;7,8;35817547/100000000;4,3581,0,0,5955,5955,695950;4,3581,0,0,5976,5976,194848
2;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
2;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,0,0,5989938826,5989938826,1721555483448;8,36012001,0,0,60010000,60010000,0
2;L;10,11;36012001/100000000,141737/390625;8,36012001,0,0,60010000,60010000,0;10,3628467200,0,0,6023675947,6023675947,171067306382
2;L;11,12;141737/390625,9078169/25000000;10,3628467200,0,0,6023675947,6023675947,171067306382;8,36312676,0,0,60260000,60260000,0
2;L;12,13;9078169/25000000,36614601/100000000;8,36312676,0,0,60260000,60260000,0;8,36614601,0,0,60510000,60510000,0
2;L;13,14;36614601/100000000,36698321/100000000;8,36614601,0,0,60510000,60510000,0;10,3669832100,0,0,6057913902,6057913902,311910268792
2;L;14,15;36698321/100000000,36840783/100000000;10,3669832100,0,0,6057913902,6057913902,311910268792;10,3684078300,0,0,6069660842,6069660842,526183702072
3;L;0,1;40344071/100000000,10109429/25000000;8,40344071,0,58510000,58510000,34956744,48918464;10,4043771600,0,5858072233,5858072233,3498772707,970660679573
3;L;1,2;10109429/25000000,5084449/12500000;10,4043771600,0,5858072233,5858072233,3498772707,970660679573;8,40675592,0,58760000,58760000,35066268,48552176
3;L;2,3;5084449/12500000,41008483/100000000;8,40675592,0,58760000,58760000,35066268,48552176;8,41008483,0,59010000,59010000,35175792,57172736
3;L;3,4;41008483/100000000,41027621/100000000;8,41008483,0,59010000,59010000,35175792,57172736;10,4102762100,0,5902434157,5902434157,3518207455,348141821677
4;C;0,1;40344071/100000000;2,40,0,0,59,59,1038;2,40,0,0,59,59,1038
5;C;1,8;35817547/100000000;2,35,0,0,59,59,38;4,3581,0,0,5976,5976,194848
5;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
5;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,0,0,5989938826,5989938826,1721555483448;8,36012001,0,0,60010000,60010000,0
5;L;10,11;36012001/100000000,141737/390625;8,36012001,0,0,60010000,60010000,0;10,3628467200,0,0,6023675947,6023675947,171067306382
5;L;11,12;141737/390625,9078169/25000000;10,3628467200,0,0,6023675947,6023675947,171067306382;8,36312676,0,0,60260000,60260000,0
5;L;12,13;9078169/25000000,36614601/100000000;8,36312676,0,0,60260000,60260000,0;8,36614601,0,0,60510000,60510000,0
5;L;13,14;36614601/100000000,36698321/100000000;8,36614601,0,0,60510000,60510000,0;10,3669832100,0,0,6057913902,6057913902,311910268792
5;L;14,15;36698321/100000000,36840783/100000000;10,3669832100,0,0,6057913902,6057913902,311910268792;10,3684078300,0,0,6069660842,6069660842,526183702072
6;L;4,5;41027621/100000000,38338129/100000000;10,4102762100,5902434157,5902434157,0,3518207455,348141821677;8,38338129,59260000,59260000,0,25379725,158924375
6;L;5,6;38338129/100000000,2283533/6250000;8,38338129,59260000,59260000,0,25379725,158924375;8,36536528,59510000,59510000,0,14980829,162472759
6;L;6,7;2283533/6250000,36371919/100000000;8,36536528,59510000,59510000,0,14980829,162472759;10,3637191900,5954472450,5954472450,0,1353644334,701411691444
6;L;7,8;36371919/100000000,35817547/100000000;10,3637191900,5954472450,5954472450,0,1353644334,701411691444;8,35817547,59760000,59760000,0,4581934,80819644
6;L;8,9;35817547/100000000,4484921/12500000;8,35817547,59760000,59760000,0,4581934,80819644;10,3587936800,5989938826,5989938826,0,0,1721555483448
6;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,5989938826,5989938826,0,0,1721555483448;8,36012001,60010000,60010000,0,0,0
6;L;10,11;36012001/100000000,141737/390625;8,36012001,60010000,60010000,0,0,0;10,3628467200,6023675947,6023675947,0,0,171067306382
6;L;11,12;141737/390625,9078169/25000000;10,3628467200,6023675947,6023675947,0,0,171067306382;8,36312676,60260000,60260000,0,0,0
6;L;12,13;9078169/25000000,36614601/100000000;8,36312676,60260000,60260000,0,0,0;8,36614601,60510000,60510000,0,0,0
6;L;13,14;36614601/100000000,36698321/100000000;8,36614601,60510000,60510000,0,0,0;10,3669832100,6057913902,6057913902,0,0,311910268792
6;L;14,15;36698321/100000000,36840783/100000000;10,3669832100,6057913902,6057913902,0,0,311910268792;10,3684078300,6069660842,6069660842,0,0,526183702072
7;C;0,4;40344071/100000000;2,40,5,30,59,59,113;4,4034,415,2999,5903,5903,1822956
8;C;0,5;38338129/100000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
8;C;5,8;35817547/100000000;4,3581,0,0,5926,5926,1385048;4,3581,0,0,5976,5976,194848
8;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
8;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,0,0,5989938826,5989938826,1721555483448;8,36012001,0,0,60010000,60010000,0
8;L;10,11;36012001/100000000,141737/390625;8,36012001,0,0,60010000,60010000,0;10,3628467200,0,0,6023675947,6023675947,171067306382
9;C;0,4;40344071/100000000;2,40,4,59,59,31,61;4,4034,415,5903,5903,2999,1822956
10;C;0,5;38338129/100000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
10;C;5,8;35817547/100000000;4,3581,0,0,5926,5926,1385048;4,3581,0,0,5976,5976,194848
10;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
10;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,0,0,5989938826,5989938826,1721555483448;8,36012001,0,0,60010000,60010000,0
10;L;10,11;36012001/100000000,141737/390625;8,36012001,0,0,60010000,60010000,0;10,3628467200,0,0,6023675947,6023675947,171067306382
11;L;4,5;41027621/100000000,38338129/100000000;2,41,60,60,5,30,75;4,3833,5926,5926,38,1926,2714128
11;L;5,6;38338129/100000000,2283533/6250000;4,3833,5926,5926,38,1926,2714128;4,3653,5951,5951,0,788,1610254
11;C;6,7;36371919/100000000;4,3637,5951,5951,0,788,1290254;4,3637,5955,5955,0,630,1419050
11;C;7,8;35817547/100000000;4,3581,5955,5955,0,630,299050;4,3581,5976,5976,0,0,194848
11;L;8,9;35817547/100000000,4484921/12500000;4,3581,5976,5976,0,0,194848;10,3587936800,5989938826,5989938826,0,0,1721555483448
11;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,5989938826,5989938826,0,0,1721555483448;8,36012001,60010000,60010000,0,0,0
11;L;10,11;36012001/100000000,141737/390625;8,36012001,60010000,60010000,0,0,0;10,3628467200,6023675947,6023675947,0,0,171067306382
12;C;0,18;35817547/100000000;2,35,0,0,45,59,1494;2,35,0,0,47,61,1070
13;C;0,18;35817547/100000000;2,35,0,0,59,48,1215;2,35,0,0,61,47,1070
14;C;11,14;141737/390625;10,3628467200,6023675947,0,0,6023675947,171067306382;2,36,61,0,0,52,775
14;C;14,18;18046113/50000000;2,36,61,0,0,52,775;2,36,61,0,0,47,1270
15;C;0,4;40344071/100000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
15;C;4,6;2283533/6250000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
15;C;6,7;36371919/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
15;C;7,8;35817547/100000000;4,3581,0,0,5955,5955,695950;4,3581,0,0,5976,5976,194848
15;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
16;C;0,18;35817547/100000000;2,35,0,0,33,59,2430;2,35,0,0,34,61,2123
17;C;0,4;40344071/100000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
17;C;4,6;2283533/6250000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
17;C;6,7;36371919/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
17;C;7,8;35817547/100000000;4,3581,0,0,5955,5955,695950;4,3581,0,0,5976,5976,194848
17;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
18;C;0,18;35817547/100000000;2,35,0,0,59,37,2150;2,35,0,0,61,34,2123
19;C;9,18;4484921/12500000;10,3587936800,5989938826,0,0,5989938826,1721555483448;2,35,61,0,0,34,2123
20;C;0,18;35817547/100000000;2,35,0,0,57,59,270;4,3581,0,0,5831,6082,628715
21;C;1,18;35817547/100000000;2,35,0,0,59,59,38;4,3581,0,0,6082,5831,628715
22;L;15,16;36840783/100000000,9056729/25000000;10,3684078300,6069660842,0,0,6069660842,526183702072;4,3622,6076,0,0,5939,250503
22;C;16,17;7231471/20000000;4,3615,6076,0,0,5939,110503;4,3615,6079,0,0,5883,736070
22;C;17,18;18046113/50000000;4,3609,6079,0,0,5883,616070;4,3609,6082,0,0,5831,1188715
23;C;0,4;40344071/100000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
24;C;0,7;36371919/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
24;C;7,8;35817547/100000000;4,3581,0,0,5955,5955,695950;4,3581,0,0,5976,5976,194848
24;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
24;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,0,0,5989938826,5989938826,1721555483448;8,36012001,0,0,60010000,60010000,0
24;L;10,11;36012001/100000000,141737/390625;8,36012001,0,0,60010000,60010000,0;10,3628467200,0,0,6023675947,6023675947,171067306382
24;L;11,12;141737/390625,9078169/25000000;10,3628467200,0,0,6023675947,6023675947,171067306382;8,36312676,0,0,60260000,60260000,0
24;L;12,13;9078169/25000000,36614601/100000000;8,36312676,0,0,60260000,60260000,0;8,36614601,0,0,60510000,60510000,0
24;L;13,14;36614601/100000000,36698321/100000000;8,36614601,0,0,60510000,60510000,0;10,3669832100,0,0,6057913902,6057913902,311910268792
25;C;0,4;40344071/100000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
26;C;0,7;36371919/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
26;C;7,8;35817547/100000000;4,3581,0,0,5955,5955,695950;4,3581,0,0,5976,5976,194848
26;L;8,9;35817547/100000000,4484921/12500000;4,3581,0,0,5976,5976,194848;10,3587936800,0,0,5989938826,5989938826,1721555483448
26;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,0,0,5989938826,5989938826,1721555483448;8,36012001,0,0,60010000,60010000,0
26;L;10,11;36012001/100000000,141737/390625;8,36012001,0,0,60010000,60010000,0;10,3628467200,0,0,6023675947,6023675947,171067306382
26;L;11,12;141737/390625,9078169/25000000;10,3628467200,0,0,6023675947,6023675947,171067306382;8,36312676,0,0,60260000,60260000,0
26;L;12,13;9078169/25000000,36614601/100000000;8,36312676,0,0,60260000,60260000,0;8,36614601,0,0,60510000,60510000,0
26;L;13,14;36614601/100000000,36698321/100000000;8,36614601,0,0,60510000,60510000,0;10,3669832100,0,0,6057913902,6057913902,311910268792
27;C;4,6;2283533/6250000;2,36,60,60,0,0,0;2,36,60,60,0,0,0
27;C;6,7;36371919/100000000;2,36,60,60,0,0,0;2,36,60,60,0,0,0
27;C;7,8;35817547/100000000;4,3581,5955,5955,0,0,695950;4,3581,5976,5976,0,0,194848
27;L;8,9;35817547/100000000,4484921/12500000;4,3581,5976,5976,0,0,194848;10,3587936800,5989938826,5989938826,0,0,1721555483448
27;L;9,10;4484921/12500000,36012001/100000000;10,3587936800,5989938826,5989938826,0,0,1721555483448;8,36012001,60010000,60010000,0,0,0
27;L;10,11;36012001/100000000,141737/390625;8,36012001,60010000,60010000,0,0,0;10,3628467200,6023675947,6023675947,0,0,171067306382
27;L;11,12;141737/390625,9078169/25000000;10,3628467200,6023675947,6023675947,0,0,171067306382;8,36312676,60260000,60260000,0,0,0
27;L;12,13;9078169/25000000,36614601/100000000;8,36312676,60260000,60260000,0,0,0;8,36614601,60510000,60510000,0,0,0
27;L;13,14;36614601/100000000,36698321/100000000;8,36614601,60510000,60510000,0,0,0;10,3669832100,6057913902,6057913902,0,0,311910268792
28;C;0,4;40344071/100000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
29;C;0,7;36371919/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
30;C;0,4;40344071/100000000;2,40,0,59,59,0,1038;2,40,0,60,60,0,800
31;C;0,7;36371919/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
32;C;4,7;36371919/100000000;2,36,60,60,0,0,0;2,36,60,60,0,0,0
33;C;0,40;13476471/50000000;2,26,0,0,20,59,1319;2,26,0,0,22,66,360
34;C;0,40;13476471/50000000;2,26,0,0,20,59,1319;2,26,0,0,22,66,360
35;C;7,17;35817547/100000000;4,3581,5955,0,0,5955,695950;2,35,61,0,0,53,470
35;C;17,22;16897579/50000000;2,33,61,0,0,53,70;2,33,62,0,0,47,547
35;C;22,28;30702287/100000000;4,3070,6176,0,0,4618,1931100;2,30,64,0,0,38,460
35;C;28,38;27311199/100000000;4,2731,6326,0,0,3713,815355;2,27,66,0,0,24,468
35;C;38,43;4967861/20000000;4,2483,6551,0,0,2355,1198374;4,2483,6651,0,0,1752,2354695
35;C;43,44;24099449/100000000;4,2409,6651,0,0,1752,874695;2,24,67,0,0,17,22
35;L;44,45;24099449/100000000,11751123/50000000;2,24,67,0,0,17,22;8,23502246,67010000,0,0,14495135,161331775
35;L;45,46;11751123/50000000,183303/781250;8,23502246,67010000,0,0,14495135,161331775;8,23462784,67260000,0,0,12986497,95668991
35;L;46,47;183303/781250,23446707/100000000;8,23462784,67260000,0,0,12986497,95668991;8,23446707,67510000,0,0,11477859,52776119
35;L;47,48;23446707/100000000,4690803/20000000;8,23446707,67510000,0,0,11477859,52776119;8,23454015,67760000,0,0,9969221,32653159
35;L;48,49;4690803/20000000,23478143/100000000;8,23454015,67760000,0,0,9969221,32653159;8,23478143,67969462,0,0,8705216,49823900
36;C;0,49;23446707/100000000;2,23,0,0,20,47,1991;2,23,0,0,23,55,1046
37;C;0,49;23446707/100000000;2,23,0,0,20,58,836;2,23,0,0,23,55,1046
38;C;40,44;24099449/100000000;4,2409,2163,0,0,6583,165542;2,24,22,0,0,61,595
38;C;44,49;23446707/100000000;2,23,22,0,0,61,395;2,23,23,0,0,55,1046
39;C;0,4;40344071/100000000;2,40,0,0,56,59,1383;2,40,0,0,57,60,1151
40;C;0,49;23446707/100000000;2,23,0,0,0,59,1119;4,2344,0,0,0,6797,680791
41;C;0,4;40344071/100000000;2,40,0,0,59,58,1155;2,40,0,0,60,57,1151
42;C;0,49;23446707/100000000;2,23,0,0,59,13,950;4,2344,0,0,6797,0,680791
43;C;4,15;35817547/100000000;2,35,60,0,0,57,151;2,35,61,0,0,46,1163
43;C;15,26;1266371/4000000;2,31,61,0,0,46,363;2,31,63,0,0,32,1207
43;C;26,37;13807009/50000000;2,27,63,0,0,32,407;2,27,66,0,0,15,819
43;C;37,49;23446707/100000000;2,23,66,0,0,15,19;4,2344,6797,0,0,0,680791
44;C;0,24;32690233/100000000;2,32,0,0,8,59,2855;2,32,0,0,8,63,2367
44;C;24,36;27935329/100000000;2,27,0,0,8,63,1367;2,27,0,0,9,66,963
44;C;36,42;25597783/100000000;2,25,0,0,9,66,563;2,25,0,0,9,67,430
44;C;42,45;11751123/50000000;2,23,0,0,9,67,30;4,2350,0,0,859,6701,1358718
44;C;45,47;23446707/100000000;4,2344,0,0,859,6701,1238718;4,2344,0,0,865,6751,555774
44;C;47,48;23446707/100000000;4,2344,0,0,865,6751,555774;4,2344,0,0,868,6776,212400
44;L;48,49;4690803/20000000,23478143/100000000;4,2345,0,0,868,6776,232400;8,23478143,0,0,8705216,67969462,49823900
45;C;0,24;32690233/100000000;2,32,0,0,59,19,2558;2,32,0,0,63,15,2206
45;C;24,36;27935329/100000000;2,27,0,0,63,15,1206;2,27,0,0,66,12,900
45;C;36,42;25597783/100000000;2,25,0,0,66,12,500;2,25,0,0,67,11,390
45;C;42,45;11751123/50000000;4,2350,0,0,6626,1044,2006188;4,2350,0,0,6701,968,1159575
45;C;45,47;23446707/100000000;4,2344,0,0,6701,968,1039575;4,2344,0,0,6751,918,461275
45;C;47,48;23446707/100000000;4,2344,0,0,6751,918,461275;4,2344,0,0,6776,892,170160
45;L;48,49;4690803/20000000,23478143/100000000;4,2345,0,0,6776,892,190160;8,23478143,0,0,67969462,8705216,49823900
46;C;0,40;13476471/50000000;2,26,0,0,29,59,878;10,2695294200,0,0,3251596716,6582780735,591410875119
47;C;0,40;13476471/50000000;2,26,0,0,26,59,1043;10,2695294200,0,0,3251596716,6582780735,591410875119
48;C;14,15;36698321/100000000;10,3669832100,6057913902,0,0,6057913902,311910268792;4,3669,6070,0,0,5996,583084
48;L;15,16;36840783/100000000,9056729/25000000;4,3684,6070,0,0,5996,883084;8,36226916,60760000,0,0,59612126,33760124
48;L;16,17;9056729/25000000,7231471/20000000;8,36226916,60760000,0,0,59612126,33760124;8,36157355,60787007,0,0,59467728,106499967
48;L;17,18;7231471/20000000,18046113/50000000;8,36157355,60787007,0,0,59467728,106499967;8,36092226,60812369,0,0,59332124,38256463
48;L;18,19;18046113/50000000,17795619/50000000;8,36092226,60812369,0,0,59332124,38256463;8,35591238,61010000,0,0,58275445,10051975
48;L;19,20;17795619/50000000,34974053/100000000;8,35591238,61010000,0,0,58275445,10051975;8,34974053,61260000,0,0,56938765,40274775
48;L;20,21;34974053/100000000,107423/312500;8,34974053,61260000,0,0,56938765,40274775;8,34375360,61510000,0,0,55602084,154856944
48;L;21,22;107423/312500,16897579/50000000;8,34375360,61510000,0,0,55602084,154856944;10,3379515800,6176000000,0,0,5426540327,79442733071
48;L;22,23;16897579/50000000,33233449/100000000;10,3379515800,6176000000,0,0,5426540327,79442733071;10,3323344900,6201000000,0,0,5292872270,133465047100
48;L;23,24;33233449/100000000,32690233/100000000;10,3323344900,6201000000,0,0,5292872270,133465047100;8,32690233,62260000,0,0,51592043,99086151
48;L;24,25;32690233/100000000,8041377/25000000;8,32690233,62260000,0,0,51592043,99086151;8,32165508,62510000,0,0,50255362,90248956
48;L;25,26;8041377/25000000,1266371/4000000;8,32165508,62510000,0,0,50255362,90248956;8,31659275,62760000,0,0,48918681,49220239
48;L;26,27;1266371/4000000,6234307/20000000;8,31659275,62760000,0,0,48918681,49220239;8,31171535,63010000,0,0,47582001,80835999
48;L;27,28;6234307/20000000,30702287/100000000;8,31171535,63010000,0,0,47582001,80835999;8,30702287,63260000,0,0,46245320,178097600
48;L;28,29;30702287/100000000,3025153/10000000;8,30702287,63260000,0,0,46245320,178097600;10,3025153000,6351000000,0,0,4490863930,162224955100
48;L;29,30;3025153/10000000,14909633/50000000;10,3025153000,6351000000,0,0,4490863930,162224955100;10,2981926600,6376000000,0,0,4357195873,124311767871
48;L;30,31;14909633/50000000,5881099/20000000;10,2981926600,6376000000,0,0,4357195873,124311767871;8,29405495,64010000,0,0,42235279,107792159
48;L;31,32;5881099/20000000,5802043/20000000;8,29405495,64010000,0,0,42235279,107792159;8,29010215,64260000,0,0,40898598,81634396
48;L;32,33;5802043/20000000,28633427/100000000;8,29010215,64260000,0,0,40898598,81634396;10,2863342700,6451000000,0,0,3956191703,209113959791
48;L;33,34;28633427/100000000,28575529/100000000;10,2863342700,6451000000,0,0,3956191703,209113959791;8,28575529,64549540,0,0,39350509,127229319
48;L;34,35;28575529/100000000,7068783/25000000;8,28575529,64549540,0,0,39350509,127229319;8,28275132,64760000,0,0,38225237,56293831
48;L;35,36;7068783/25000000,27935329/100000000;8,28275132,64760000,0,0,38225237,56293831;8,27935329,65010000,0,0,36888556,136234864
48;L;36,37;27935329/100000000,13807009/50000000;8,27935329,65010000,0,0,36888556,136234864;8,27614018,65260000,0,0,35551876,112880624
48;L;37,38;13807009/50000000,27311199/100000000;8,27614018,65260000,0,0,35551876,112880624;8,27311199,65510000,0,0,34215195,131111975
48;L;38,39;27311199/100000000,3378359/12500000;8,27311199,65510000,0,0,34215195,131111975;8,27026872,65760000,0,0,32878515,51394775
48;L;39,40;3378359/12500000,13476471/50000000;8,27026872,65760000,0,0,32878515,51394775;10,2695294200,6582780735,0,0,3251596716,591410875119
49;C;0,49;23446707/100000000;2,23,0,0,30,47,1491;2,23,0,0,35,55,350
50;C;0,49;23446707/100000000;2,23,0,0,26,58,560;2,23,0,0,35,55,350
51;L;40,41;13476471/50000000,26374883/100000000;10,2695294200,3251596716,0,0,6582780735,591410875119;8,26374883,32701148,0,0,64850686,44811500
51;L;41,42;26374883/100000000,25597783/100000000;8,26374883,32701148,0,0,64850686,44811500;8,25597783,32955249,0,0,63509905,130238974
51;L;42,43;25597783/100000000,4967861/20000000;8,25597783,32955249,0,0,63509905,130238974;8,24839305,33209349,0,0,62169125,35730574
51;L;43,44;4967861/20000000,24099449/100000000;8,24839305,33209349,0,0,62169125,35730574;10,2409944900,3346344850,0,0,6082834343,500498235851
51;L;44,45;24099449/100000000,11751123/50000000;10,2409944900,3346344850,0,0,6082834343,500498235851;4,2350,3372,0,0,5949,239015
51;C;45,46;183303/781250;4,2346,3372,0,0,5949,159015;4,2346,3398,0,0,5815,1559371
51;C;46,49;23446707/100000000;4,2344,3398,0,0,5815,1519371;2,23,35,0,0,55,350
52;C;0,4;40344071/100000000;2,40,0,0,27,59,3790;2,40,0,0,27,60,3671
53;C;0,17;35817547/100000000;2,35,0,0,16,59,3263;2,35,0,0,16,61,3023
54;C;0,4;40344071/100000000;2,40,0,0,59,27,3790;2,40,0,0,60,27,3671
55;C;0,17;35817547/100000000;2,35,0,0,16,59,3263;2,35,0,0,16,61,3023
56;C;4,34;28575529/100000000;2,28,60,0,0,27,1271;2,28,65,0,0,0,1375
57;C;0,34;28575529/100000000;2,28,0,0,16,38,3900;2,28,0,0,17,42,3547
58;C;0,34;28575529/100000000;2,28,0,0,16,45,3319;2,28,0,0,17,42,3547
59;C;17,34;28575529/100000000;2,28,16,0,0,61,1623;2,28,17,0,0,42,3547
60;C;0,4;40344071/100000000;2,40,0,0,20,59,4119;2,40,0,0,20,60,4000
61;C;0,34;28575529/100000000;2,28,0,0,0,59,2119;2,28,0,0,0,65,1375
62;C;0,4;40344071/100000000;2,40,0,0,59,21,4078;2,40,0,0,60,20,4000
63;C;0,34;28575529/100000000;2,28,0,0,59,0,2119;2,28,0,0,65,0,1375
64;C;4,34;28575529/100000000;2,28,60,0,0,20,1600;2,28,65,0,0,0,1375
65;C;0,34;28575529/100000000;2,28,0,0,0,59,2119;2,28,0,0,0,65,1375
66;C;0,34;28575529/100000000;2,28,0,0,59,2,2115;2,28,0,0,65,0,1375
67;C;0,4;40344071/100000000;2,40,0,0,33,59,3430;2,40,0,0,34,60,3244
68;C;0,17;35817547/100000000;2,35,0,0,23,59,2990;2,35,0,0,24,61,2703
69;C;0,4;40344071/100000000;2,40,0,0,59,34,3363;2,40,0,0,60,34,3244
70;C;0,17;35817547/100000000;2,35,0,0,22,59,3035;2,35,0,0,24,61,2703
71;C;4,17;35817547/100000000;2,35,60,0,0,34,2244;2,35,61,0,0,24,2703
72;C;0,34;28575529/100000000;2,28,0,0,24,38,3580;2,28,0,0,27,42,3107
73;C;0,34;28575529/100000000;2,28,0,0,21,45,3134;2,28,0,0,27,42,3107
74;C;17,34;28575529/100000000;2,28,24,0,0,61,1303;2,28,27,0,0,42,3107
MASS SLACK NUMERATOR 84210438440306682768985857225699631154658320696274932410817855879896936285973136531770817445589579229895608056652600595373
BIN 13: PATH0; (83/70,6/5]; gamma0=587/1000; mass ceiling=49210011/50000000.
GAMMA 0=587/1000;1=1179/2000;2=74/125;3=90651960000/153105644567;4=1189/2000;5=88133850000/148069424567;6=597/1000;7=1199/2000;8=57916530000/96375144377;9=301/500;10=1209/2000;11=50362200000/83283490487;12=80579520000/132960764567;13=607/1000;14=83937000000/138084279047;15=1219/2000;16=42807870000/70191836597;17=153/250;18=40289760000/65827951967;19=1229/2000;20=617/1000;21=1239/2000;22=311/500;23=1249/2000;24=627/1000;25=1259/2000;26=79/125;27=1269/2000;28=637/1000;29=1279/2000;30=321/500;31=1289/2000;32=647/1000;33=35883067500/55429027021;34=1299/2000;35=163/250;36=1309/2000;37=657/1000;38=58755900000/89313524567;39=1319/2000;40=331/500;41=1329/2000;42=667/1000;43=1339/2000;44=84/125;45=1349/2000;46=677/1000;47=1359/2000;48=52880310000/77562344567;49=341/500;50=1369/2000;51=687/1000;52=1379/2000;53=173/250;54=1389/2000;55=697/1000;56=1399/2000;57=351/500;58=1409/2000;59=707/1000;60=1419/2000;61=89/125;62=1429/2000;63=717/1000;64=1439/2000;65=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40289020,40618979;1,2,40618979,40950298;2,3,40950298,40961938;3,4,40961938,38531905;4,5,38531905,37967901;5,6,37967901,36890881;6,7,36890881,36142802;7,8,36142802,36117962;8,9,36117962,36240400;9,10,36240400,36542025;10,11,36542025,36567187;11,12,36567187,36728429;12,13,36728429,36844900;13,14,36844900,36950338;14,15,36950338,37149025;15,16,37149025,37194098;16,17,37194098,35169914;17,18,35169914,35158215;18,19,35158215,34548853;19,20,34548853,33947093;20,21,33947093,33364636;21,22,33364636,32801481;22,23,32801481,32257628;23,24,32257628,31733077;24,25,31733077,31227828;25,26,31227828,30741881;26,27,30741881,30275237;27,28,30275237,29827894;28,29,29827894,29399854;29,30,29399854,28991116;30,31,28991116,28601680;31,32,28601680,28231546;32,33,28231546,28178462;33,34,28178462,27880714;34,35,27880714,27549185;35,36,27549185,27236957;36,37,27236957,26944032;37,38,26944032,26847598;38,39,26847598,26312666;39,40,26312666,25512946;40,41,25512946,24732929;41,42,24732929,23972613;42,43,23972613,23317095;43,44,23317095,23288156;44,45,23288156,23283877;45,46,23283877,23304259;46,47,23304259,23349302;47,48,23349302,23411822;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;131286221417/37771650000,1/3,153105644567/75543300000;-64691913360829
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;23/15,5/3,8/15;-3
10;6;1;-1
11;2,3,7;4/3,4/3,8/15;-4
14;6;1;-1
15;2,3,10;4/3,4/3,8/15;-4
17;2,3,5;3/5,11/3,8/15;-1
18;1,4,8;94920516167/25181100000,4/3,153105644567/75543300000;-39510813360829
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;4/3,4/3,8/15;-4
29;1,3,9;14/15,10/3,6/5;-14
30;1,4,11;94920516167/25181100000,4/3,153105644567/75543300000;-39510813360829
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;4/3,4/3,8/15;-4
41;1,3,12;14/15,10/3,6/5;-14
42;1,4,14;131286221417/37771650000,1/3,153105644567/75543300000;-64691913360829
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;4/3,4/3,8/15;-4
56;2,3,7;4/3,4/3,8/15;-4
58;2,3,10;4/3,4/3,8/15;-4
59;2,3,13;3/5,11/3,8/15;-1
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;38/15,5/3,7/10;-4
70;6;1;-1
74;6;1;-1
77;2,3,5;8/5,4,7/10;-1
78;1,4,8;136318244567/25181100000,1/3,153105644567/75543300000;-77282463360829
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;35593844567/12590550000,14/3,153105644567/75543300000;-1739163360829
86;8;1;-1
89;1,3,9;14/15,10/3,6/5;-14
90;1,4,11;136318244567/25181100000,1/3,153105644567/75543300000;-77282463360829
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;35593844567/12590550000,14/3,153105644567/75543300000;-1739163360829
98;11;1;-1
101;1,3,12;14/15,10/3,6/5;-14
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;38/15,5/3,7/10;-4
119;2,3,13;8/5,4,7/10;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;20673248423/4721456250,5/3,153105644567/75543300000;-26920263360829
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;53/15,13/6,19/20;-4
130;6;1;-1
132;1,4,6;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
134;6;1;-1
137;2,3,5;13/5,5,19/20;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;49833756617/12590550000,11/3,153105644567/75543300000;-20624988360829
144;1,4,8;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
146;8;1;-1
149;1,3,9;14/15,10/3,6/5;-14
150;0,1,11;2/3,3,1;-2
151;1,4,11;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;49833756617/12590550000,11/3,153105644567/75543300000;-20624988360829
156;1,4,11;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
158;11;1;-1
161;1,3,12;14/15,10/3,6/5;-14
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;62977451447/15108660000,8/3,153105644567/75543300000;-22723413360829
169;14;1;-1
171;1,4,14;20673248423/4721456250,5/3,153105644567/75543300000;-26920263360829
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;53/15,13/6,19/20;-4
179;2,3,13;13/5,5,19/20;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;3894733195855,918286160935971651075000,24078928763415,95
4;1,4,6,3;3894733195855,1252755090431331962580000,4424373252393,2
5;5,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
12;1,4,6,3;3894733195855,1252755090431331962580000,4424373252393,2
13;5,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
16;5,4,2,3;6721601253505,360826670233286623800000,24731282930565,105
19;1,4,8,3;3894733195855,1252755090431331962580000,4424373252393,2
22;1,4,8,3;3894733195855,863543602804257736200000,6721601253505,65
23;7,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
24;1,4,8,3;3894733195855,1252755090431331962580000,4424373252393,2
25;7,4,2,3;24078928763415,16418539360607483925000,24731282930565,15
28;7,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
31;1,4,11,3;3894733195855,1252755090431331962580000,4424373252393,2
34;1,4,11,3;3894733195855,863543602804257736200000,6721601253505,65
35;10,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
36;1,4,11,3;3894733195855,1252755090431331962580000,4424373252393,2
37;10,4,2,3;24078928763415,16418539360607483925000,24731282930565,15
40;10,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
44;1,4,14,3;3894733195855,1252755090431331962580000,4424373252393,2
48;1,4,14,3;3894733195855,1252755090431331962580000,4424373252393,2
50;13,4,2,3;6721601253505,360826670233286623800000,24731282930565,105
51;1,4,14,3;3894733195855,918286160935971651075000,24078928763415,95
53;13,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
57;13,4,2,3;4424373252393,229630833628457961420000,24731282930565,3
61;1,4,6,3;3894733195855,409874778149443302150000,37973267987565,5
64;1,4,6,3;3894733195855,111397055453331962580000,7302586675026,1
65;5,4,9,3;7302586675026,15108660000,56959749712539,3
71;7,4,2,3;56959749712539,44182896883273358280000,73512137391710,1
72;1,4,6,3;3894733195855,111397055453331962580000,7302586675026,1
73;5,4,12,3;7302586675026,15108660000,56959749712539,3
75;10,4,2,3;56959749712539,44182896883273358280000,73512137391710,1
76;1,4,2,3;3894733195855,2853395087445000000000000,73512137391710,25
79;1,4,8,3;3894733195855,111397055453331962580000,7302586675026,1
83;7,4,2,3;7302586675026,732066532395410037420000,73512137391710,4
84;1,4,8,3;3894733195855,111397055453331962580000,7302586675026,1
85;7,4,12,3;37973267987565,389405912816025339570000,56959749712539,39
87;10,4,2,3;56959749712539,44182896883273358280000,73512137391710,1
88;7,4,2,3;7302586675026,732066532395410037420000,73512137391710,4
91;1,4,11,3;3894733195855,111397055453331962580000,7302586675026,1
95;10,4,2,3;7302586675026,732066532395410037420000,73512137391710,4
96;1,4,11,3;3894733195855,111397055453331962580000,7302586675026,1
97;10,4,9,3;37973267987565,389405912816025339570000,56959749712539,39
99;7,4,2,3;56959749712539,44182896883273358280000,73512137391710,1
100;10,4,2,3;7302586675026,732066532395410037420000,73512137391710,4
104;1,4,14,3;3894733195855,111397055453331962580000,7302586675026,1
108;1,4,14,3;3894733195855,111397055453331962580000,7302586675026,1
110;1,4,2,3;3894733195855,2853395087445000000000000,73512137391710,25
111;1,4,14,3;3894733195855,409874778149443302150000,37973267987565,5
113;13,4,9,3;7302586675026,15108660000,56959749712539,3
116;7,4,2,3;56959749712539,44182896883273358280000,73512137391710,1
117;13,4,12,3;7302586675026,15108660000,56959749712539,3
118;10,4,2,3;56959749712539,44182896883273358280000,73512137391710,1
125;1,4,9,3;3894733195855,327899822519554641720000,25933753794699,1
131;7,4,2,3;25933753794699,174714130218403583640000,66924572773460,29
133;1,4,12,3;3894733195855,327899822519554641720000,25933753794699,1
135;10,4,2,3;25933753794699,174714130218403583640000,66924572773460,29
136;1,4,2,3;3894733195855,713348771861250000000000,66924572773460,25
143;1,4,2,3;3894733195855,713348771861250000000000,66924572773460,25
145;1,4,12,3;3894733195855,327899822519554641720000,25933753794699,1
147;10,4,2,3;25933753794699,174714130218403583640000,66924572773460,29
148;1,4,2,3;3894733195855,713348771861250000000000,66924572773460,25
155;1,4,2,3;3894733195855,713348771861250000000000,66924572773460,25
157;1,4,9,3;3894733195855,327899822519554641720000,25933753794699,1
159;7,4,2,3;25933753794699,174714130218403583640000,66924572773460,29
160;1,4,2,3;3894733195855,713348771861250000000000,66924572773460,25
170;1,4,2,3;3894733195855,713348771861250000000000,66924572773460,25
173;1,4,9,3;3894733195855,327899822519554641720000,25933753794699,1
176;7,4,2,3;25933753794699,174714130218403583640000,66924572773460,29
177;1,4,12,3;3894733195855,327899822519554641720000,25933753794699,1
178;10,4,2,3;25933753794699,174714130218403583640000,66924572773460,29
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;64;V;3,1
27;64;V;6,3
28;64;E;4,1
29;64;E;4,6
30;64;E;4,3
31;65;V;9,3
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;2,3
39;76;E;4,1
40;76;E;4,2
41;76;E;4,3
42;83;V;2,3
43;83;E;4,2
44;85;V;12,3
45;85;E;4,12
46;85;E;4,3
47;87;V;2,3
48;87;E;4,2
49;87;E;4,3
50;125;V;3,1
51;125;V;9,3
52;125;E;4,1
53;125;E;4,9
54;125;E;4,3
55;131;V;2,3
56;131;E;4,2
57;131;E;4,3
58;136;V;3,1
59;136;V;2,3
60;136;E;4,1
61;136;E;4,2
62;136;E;4,3
63;143;V;2,3
64;143;E;4,2
65;145;V;3,1
66;145;V;12,3
67;145;E;4,1
68;145;E;4,12
69;145;E;4,3
70;147;V;2,3
71;147;E;4,2
72;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/3;V/6,3/1/0/16;E/4,1/2/0/3;E/4,6/3/0/16;E/4,3/4/3/16
4:V/3,1/5/0/3;V/6,3/6/0/11;E/4,1/7/0/3;E/4,6/8/0/11;E/4,3/9/3/11
5:V/3,5/6/0/11;V/2,3/10/0/18;E/4,5/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
12:V/3,1/5/0/3;V/6,3/6/0/11;E/4,1/7/0/3;E/4,6/8/0/11;E/4,3/9/3/11
13:V/3,5/6/0/11;V/2,3/10/0/18;E/4,5/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
16:V/3,5/13/0/8;V/2,3/14/0/18;E/4,5/15/0/8;E/4,2/16/0/18;E/4,3/17/8/18
19:V/3,1/0/0/3;V/8,3/6/0/11;E/4,1/2/0/3;E/4,8/8/0/11;E/4,3/4/3/11
22:V/3,1/5/0/3;V/8,3/13/0/8;E/4,1/7/0/3;E/4,8/15/0/8;E/4,3/9/3/8
23:V/3,7/6/0/11;V/2,3/10/0/18;E/4,7/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
24:V/3,1/0/0/3;V/8,3/6/0/11;E/4,1/2/0/3;E/4,8/8/0/11;E/4,3/4/3/11
25:V/3,7/1/0/16;V/2,3/18/0/18;E/4,7/3/0/16;E/4,2/19/0/18;E/4,3/20/16/18
28:V/3,7/6/0/11;V/2,3/10/0/18;E/4,7/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
31:V/3,1/0/0/3;V/11,3/6/0/11;E/4,1/2/0/3;E/4,11/8/0/11;E/4,3/4/3/11
34:V/3,1/5/0/3;V/11,3/13/0/8;E/4,1/7/0/3;E/4,11/15/0/8;E/4,3/9/3/8
35:V/3,10/6/0/11;V/2,3/10/0/18;E/4,10/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
36:V/3,1/0/0/3;V/11,3/6/0/11;E/4,1/2/0/3;E/4,11/8/0/11;E/4,3/4/3/11
37:V/3,10/1/0/16;V/2,3/18/0/18;E/4,10/3/0/16;E/4,2/19/0/18;E/4,3/20/16/18
40:V/3,10/6/0/11;V/2,3/10/0/18;E/4,10/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
44:V/3,1/5/0/3;V/14,3/6/0/11;E/4,1/7/0/3;E/4,14/8/0/11;E/4,3/9/3/11
48:V/3,1/5/0/3;V/14,3/6/0/11;E/4,1/7/0/3;E/4,14/8/0/11;E/4,3/9/3/11
50:V/3,13/13/0/8;V/2,3/14/0/18;E/4,13/15/0/8;E/4,2/16/0/18;E/4,3/17/8/18
51:V/3,1/0/0/3;V/14,3/1/0/16;E/4,1/2/0/3;E/4,14/3/0/16;E/4,3/4/3/16
53:V/3,13/6/0/11;V/2,3/10/0/18;E/4,13/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
57:V/3,13/6/0/11;V/2,3/10/0/18;E/4,13/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
61:V/3,1/21/0/3;V/6,3/22/0/12;E/4,1/23/0/3;E/4,6/24/0/12;E/4,3/25/3/12
64:V/3,1/26/0/3;V/6,3/27/0/5;E/4,1/28/0/3;E/4,6/29/0/5;E/4,3/30/3/5
65:V/3,5/27/0/5;V/9,3/31/0/38;E/4,5/29/0/5;E/4,9/32/0/38;E/4,3/33/5/38
71:V/3,7/31/0/38;V/2,3/34/0/48;E/4,7/32/0/38;E/4,2/35/0/48;E/4,3/36/38/48
72:V/3,1/26/0/3;V/6,3/27/0/5;E/4,1/28/0/3;E/4,6/29/0/5;E/4,3/30/3/5
73:V/3,5/27/0/5;V/12,3/31/0/38;E/4,5/29/0/5;E/4,12/32/0/38;E/4,3/33/5/38
75:V/3,10/31/0/38;V/2,3/34/0/48;E/4,10/32/0/38;E/4,2/35/0/48;E/4,3/36/38/48
76:V/3,1/37/0/3;V/2,3/38/0/48;E/4,1/39/0/3;E/4,2/40/0/48;E/4,3/41/3/48
79:V/3,1/21/0/3;V/8,3/27/0/5;E/4,1/23/0/3;E/4,8/29/0/5;E/4,3/25/3/5
83:V/3,7/27/0/5;V/2,3/42/0/48;E/4,7/29/0/5;E/4,2/43/0/48;E/4,3/33/5/48
84:V/3,1/21/0/3;V/8,3/27/0/5;E/4,1/23/0/3;E/4,8/29/0/5;E/4,3/25/3/5
85:V/3,7/22/0/12;V/12,3/44/0/38;E/4,7/24/0/12;E/4,12/45/0/38;E/4,3/46/12/38
87:V/3,10/44/0/38;V/2,3/47/0/48;E/4,10/45/0/38;E/4,2/48/0/48;E/4,3/49/38/48
88:V/3,7/27/0/5;V/2,3/42/0/48;E/4,7/29/0/5;E/4,2/43/0/48;E/4,3/33/5/48
91:V/3,1/21/0/3;V/11,3/27/0/5;E/4,1/23/0/3;E/4,11/29/0/5;E/4,3/25/3/5
95:V/3,10/27/0/5;V/2,3/42/0/48;E/4,10/29/0/5;E/4,2/43/0/48;E/4,3/33/5/48
96:V/3,1/21/0/3;V/11,3/27/0/5;E/4,1/23/0/3;E/4,11/29/0/5;E/4,3/25/3/5
97:V/3,10/22/0/12;V/9,3/44/0/38;E/4,10/24/0/12;E/4,9/45/0/38;E/4,3/46/12/38
99:V/3,7/44/0/38;V/2,3/47/0/48;E/4,7/45/0/38;E/4,2/48/0/48;E/4,3/49/38/48
100:V/3,10/27/0/5;V/2,3/42/0/48;E/4,10/29/0/5;E/4,2/43/0/48;E/4,3/33/5/48
104:V/3,1/26/0/3;V/14,3/27/0/5;E/4,1/28/0/3;E/4,14/29/0/5;E/4,3/30/3/5
108:V/3,1/26/0/3;V/14,3/27/0/5;E/4,1/28/0/3;E/4,14/29/0/5;E/4,3/30/3/5
110:V/3,1/37/0/3;V/2,3/38/0/48;E/4,1/39/0/3;E/4,2/40/0/48;E/4,3/41/3/48
111:V/3,1/21/0/3;V/14,3/22/0/12;E/4,1/23/0/3;E/4,14/24/0/12;E/4,3/25/3/12
113:V/3,13/27/0/5;V/9,3/31/0/38;E/4,13/29/0/5;E/4,9/32/0/38;E/4,3/33/5/38
116:V/3,7/31/0/38;V/2,3/34/0/48;E/4,7/32/0/38;E/4,2/35/0/48;E/4,3/36/38/48
117:V/3,13/27/0/5;V/12,3/31/0/38;E/4,13/29/0/5;E/4,12/32/0/38;E/4,3/33/5/38
118:V/3,10/31/0/38;V/2,3/34/0/48;E/4,10/32/0/38;E/4,2/35/0/48;E/4,3/36/38/48
125:V/3,1/50/0/3;V/9,3/51/0/14;E/4,1/52/0/3;E/4,9/53/0/14;E/4,3/54/3/14
131:V/3,7/51/0/14;V/2,3/55/0/33;E/4,7/53/0/14;E/4,2/56/0/33;E/4,3/57/14/33
133:V/3,1/50/0/3;V/12,3/51/0/14;E/4,1/52/0/3;E/4,12/53/0/14;E/4,3/54/3/14
135:V/3,10/51/0/14;V/2,3/55/0/33;E/4,10/53/0/14;E/4,2/56/0/33;E/4,3/57/14/33
136:V/3,1/58/0/3;V/2,3/59/0/33;E/4,1/60/0/3;E/4,2/61/0/33;E/4,3/62/3/33
143:V/3,1/50/0/3;V/2,3/63/0/33;E/4,1/52/0/3;E/4,2/64/0/33;E/4,3/54/3/33
145:V/3,1/65/0/3;V/12,3/66/0/14;E/4,1/67/0/3;E/4,12/68/0/14;E/4,3/69/3/14
147:V/3,10/66/0/14;V/2,3/70/0/33;E/4,10/68/0/14;E/4,2/71/0/33;E/4,3/72/14/33
148:V/3,1/50/0/3;V/2,3/63/0/33;E/4,1/52/0/3;E/4,2/64/0/33;E/4,3/54/3/33
155:V/3,1/50/0/3;V/2,3/63/0/33;E/4,1/52/0/3;E/4,2/64/0/33;E/4,3/54/3/33
157:V/3,1/65/0/3;V/9,3/66/0/14;E/4,1/67/0/3;E/4,9/68/0/14;E/4,3/69/3/14
159:V/3,7/66/0/14;V/2,3/70/0/33;E/4,7/68/0/14;E/4,2/71/0/33;E/4,3/72/14/33
160:V/3,1/50/0/3;V/2,3/63/0/33;E/4,1/52/0/3;E/4,2/64/0/33;E/4,3/54/3/33
170:V/3,1/58/0/3;V/2,3/59/0/33;E/4,1/60/0/3;E/4,2/61/0/33;E/4,3/62/3/33
173:V/3,1/50/0/3;V/9,3/51/0/14;E/4,1/52/0/3;E/4,9/53/0/14;E/4,3/54/3/14
176:V/3,7/51/0/14;V/2,3/55/0/33;E/4,7/53/0/14;E/4,2/56/0/33;E/4,3/57/14/33
177:V/3,1/50/0/3;V/12,3/51/0/14;E/4,1/52/0/3;E/4,12/53/0/14;E/4,3/54/3/14
178:V/3,10/51/0/14;V/2,3/55/0/33;E/4,10/53/0/14;E/4,2/56/0/33;E/4,3/57/14/33
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;2014451/5000000,40618979/100000000;4,4028,0,3408,5870,5870,31736;4,4061,0,3422,5895,5895,7866
0;L;1,2;40618979/100000000,20475149/50000000;4,4061,0,3422,5895,5895,7866;6,409502,0,343611,592000,592000,7480679
0;L;2,3;20475149/50000000,20480969/50000000;6,409502,0,343611,592000,592000,7480679;10,4096193800,0,3436614513,5920876416,5920876416,1621947762719
1;C;0,8;18058981/50000000;2,36,0,0,59,59,238;6,361179,0,0,600949,600949,78598798
1;L;8,9;18058981/50000000,90601/250000;6,361179,0,0,600949,600949,78598798;6,362404,0,0,602000,602000,0
1;L;9,10;90601/250000,1461681/4000000;6,362404,0,0,602000,602000,0;8,36542025,0,0,60450000,60450000,0
1;L;10,11;1461681/4000000,36567187/100000000;8,36542025,0,0,60450000,60450000,0;10,3656718700,0,0,6047080845,6047080845,508068171950
1;L;11,12;36567187/100000000,36728429/100000000;10,3656718700,0,0,6047080845,6047080845,508068171950;8,36728429,0,0,60603984,60603984,46655488
1;L;12,13;36728429/100000000,368449/1000000;8,36728429,0,0,60603984,60603984,46655488;6,368449,0,0,607000,607000,0
1;L;13,14;368449/1000000,18475169/50000000;6,368449,0,0,607000,607000,0;10,3695033800,0,0,6078678948,6078678948,494283226592
1;L;14,15;18475169/50000000,1485961/4000000;10,3695033800,0,0,6078678948,6078678948,494283226592;8,37149025,0,0,60950000,60950000,0
1;L;15,16;1485961/4000000,18597049/50000000;8,37149025,0,0,60950000,60950000,0;8,37194098,0,0,60986964,60986964,44125408
2;L;0,1;2014451/5000000,40618979/100000000;8,40289020,0,58700000,58700000,34152949,74603399;8,40618979,0,58950000,58950000,34257711,37040479
2;L;1,2;40618979/100000000,20475149/50000000;8,40618979,0,58950000,58950000,34257711,37040479;8,40950298,0,59200000,59200000,34362473,49324271
2;L;2,3;20475149/50000000,20480969/50000000;8,40950298,0,59200000,59200000,34362473,49324271;10,4096193800,0,5920876416,5920876416,3436614513,1621947762719
3;C;0,8;18058981/50000000;2,36,0,0,59,59,238;6,361179,0,0,600949,600949,78598798
3;L;8,9;18058981/50000000,90601/250000;6,361179,0,0,600949,600949,78598798;6,362404,0,0,602000,602000,0
3;L;9,10;90601/250000,1461681/4000000;6,362404,0,0,602000,602000,0;8,36542025,0,0,60450000,60450000,0
3;L;10,11;1461681/4000000,36567187/100000000;8,36542025,0,0,60450000,60450000,0;10,3656718700,0,0,6047080845,6047080845,508068171950
3;L;11,12;36567187/100000000,36728429/100000000;10,3656718700,0,0,6047080845,6047080845,508068171950;8,36728429,0,0,60603984,60603984,46655488
3;L;12,13;36728429/100000000,368449/1000000;8,36728429,0,0,60603984,60603984,46655488;6,368449,0,0,607000,607000,0
3;L;13,14;368449/1000000,18475169/50000000;6,368449,0,0,607000,607000,0;10,3695033800,0,0,6078678948,6078678948,494283226592
3;L;14,15;18475169/50000000,1485961/4000000;10,3695033800,0,0,6078678948,6078678948,494283226592;8,37149025,0,0,60950000,60950000,0
3;L;15,16;1485961/4000000,18597049/50000000;8,37149025,0,0,60950000,60950000,0;8,37194098,0,0,60986964,60986964,44125408
4;L;3,4;20480969/50000000,7706381/20000000;10,4096193800,5920876416,5920876416,0,3436614513,1621947762719;8,38531905,59450000,59450000,0,25254226,69140924
4;L;4,5;7706381/20000000,37967901/100000000;8,38531905,59450000,59450000,0,25254226,69140924;8,37967901,59521978,59521978,0,22535493,25181983
4;L;5,6;37967901/100000000,36890881/100000000;8,37967901,59521978,59521978,0,22535493,25181983;10,3689088100,5970000000,5970000000,0,1581126809,13861477519
4;L;6,7;36890881/100000000,18071401/50000000;10,3689088100,5970000000,5970000000,0,1581126809,13861477519;8,36142802,59950000,59950000,0,6368311,15007279
4;L;7,8;18071401/50000000,18058981/50000000;8,36142802,59950000,59950000,0,6368311,15007279;10,3611796200,6009488274,6009488274,0,89582434,356831637492
4;L;8,9;18058981/50000000,90601/250000;10,3611796200,6009488274,6009488274,0,89582434,356831637492;6,362404,602000,602000,0,0,0
4;L;9,10;90601/250000,1461681/4000000;6,362404,602000,602000,0,0,0;8,36542025,60450000,60450000,0,0,0
4;L;10,11;1461681/4000000,36567187/100000000;8,36542025,60450000,60450000,0,0,0;10,3656718700,6047080845,6047080845,0,0,508068171950
4;L;11,12;36567187/100000000,36728429/100000000;10,3656718700,6047080845,6047080845,0,0,508068171950;8,36728429,60603984,60603984,0,0,46655488
4;L;12,13;36728429/100000000,368449/1000000;8,36728429,60603984,60603984,0,0,46655488;6,368449,607000,607000,0,0,0
4;L;13,14;368449/1000000,18475169/50000000;6,368449,607000,607000,0,0,0;10,3695033800,6078678948,6078678948,0,0,494283226592
4;L;14,15;18475169/50000000,1485961/4000000;10,3695033800,6078678948,6078678948,0,0,494283226592;8,37149025,60950000,60950000,0,0,0
4;L;15,16;1485961/4000000,18597049/50000000;8,37149025,60950000,60950000,0,0,0;8,37194098,60986964,60986964,0,0,44125408
5;C;0,3;2014451/5000000;2,40,4,29,59,59,181;4,4028,380,2864,5921,5921,2096622
6;C;0,5;37967901/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
6;C;5,8;18058981/50000000;2,36,0,0,60,60,0;6,361179,0,0,600949,600949,78598798
6;L;8,9;18058981/50000000,90601/250000;6,361179,0,0,600949,600949,78598798;6,362404,0,0,602000,602000,0
6;L;9,10;90601/250000,1461681/4000000;6,362404,0,0,602000,602000,0;8,36542025,0,0,60450000,60450000,0
6;L;10,11;1461681/4000000,36567187/100000000;8,36542025,0,0,60450000,60450000,0;10,3656718700,0,0,6047080845,6047080845,508068171950
7;C;0,3;2014451/5000000;2,40,3,59,59,29,188;4,4028,380,5921,5921,2864,2096622
8;C;0,5;37967901/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
8;C;5,8;18058981/50000000;2,36,0,0,60,60,0;6,361179,0,0,600949,600949,78598798
8;L;8,9;18058981/50000000,90601/250000;6,361179,0,0,600949,600949,78598798;6,362404,0,0,602000,602000,0
8;L;9,10;90601/250000,1461681/4000000;6,362404,0,0,602000,602000,0;8,36542025,0,0,60450000,60450000,0
8;L;10,11;1461681/4000000,36567187/100000000;8,36542025,0,0,60450000,60450000,0;10,3656718700,0,0,6047080845,6047080845,508068171950
9;L;3,4;20480969/50000000,7706381/20000000;4,4096,5921,5921,380,2864,3456622;2,38,60,60,1,19,38
9;C;4,5;37967901/100000000;4,3796,5945,5945,53,1861,1767820;4,3796,5953,5953,0,1561,2606861
9;C;5,6;36890881/100000000;4,3689,5953,5953,0,1561,466861;4,3689,5970,5970,0,821,1824159
9;C;6,7;18071401/50000000;4,3614,5970,5970,0,821,324159;2,36,60,60,0,0,0
9;C;7,8;18058981/50000000;2,36,60,60,0,0,0;6,361179,600949,600949,0,0,78598798
9;L;8,9;18058981/50000000,90601/250000;6,361179,600949,600949,0,0,78598798;6,362404,602000,602000,0,0,0
9;L;9,10;90601/250000,1461681/4000000;6,362404,602000,602000,0,0,0;8,36542025,60450000,60450000,0,0,0
9;L;10,11;1461681/4000000,36567187/100000000;8,36542025,60450000,60450000,0,0,0;10,3656718700,6047080845,6047080845,0,0,508068171950
10;C;0,18;7031643/20000000;2,35,0,0,42,59,1755;2,35,0,0,44,62,1220
11;C;0,18;7031643/20000000;2,35,0,0,59,46,1403;2,35,0,0,62,44,1220
12;C;11,14;36567187/100000000;10,3656718700,6047080845,0,0,6047080845,508068171950;2,36,61,0,0,54,563
12;C;14,18;7031643/20000000;2,35,61,0,0,54,363;2,35,62,0,0,44,1220
13;C;0,8;18058981/50000000;2,36,0,0,59,59,238;6,361179,0,0,600949,600949,78598798
14;C;0,18;7031643/20000000;2,35,0,0,29,59,2678;2,35,0,0,31,62,2195
15;C;0,8;18058981/50000000;2,36,0,0,59,59,238;6,361179,0,0,600949,600949,78598798
16;C;0,18;7031643/20000000;2,35,0,0,59,34,2363;2,35,0,0,62,31,2195
17;C;8,13;18058981/50000000;6,361179,600949,0,0,600949,78598798;2,36,61,0,0,44,1543
17;C;13,18;7031643/20000000;2,35,61,0,0,44,1343;2,35,62,0,0,31,2195
18;C;0,18;7031643/20000000;2,35,0,0,55,59,494;4,3515,0,0,5677,6121,605030
19;C;0,18;7031643/20000000;2,35,0,0,59,58,155;4,3515,0,0,6121,5677,605030
20;L;16,17;18597049/50000000,17584957/50000000;8,37194098,60986964,0,0,60986964,44125408;4,3516,6120,0,0,5686,535004
20;C;17,18;7031643/20000000;4,3515,6120,0,0,5686,515004;4,3515,6121,0,0,5677,605030
21;C;0,3;2014451/5000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
22;C;0,6;36890881/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
22;C;6,7;18071401/50000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
22;C;7,8;18058981/50000000;2,36,0,0,60,60,0;6,361179,0,0,600949,600949,78598798
22;L;8,9;18058981/50000000,90601/250000;6,361179,0,0,600949,600949,78598798;6,362404,0,0,602000,602000,0
22;L;9,10;90601/250000,1461681/4000000;6,362404,0,0,602000,602000,0;8,36542025,0,0,60450000,60450000,0
22;L;10,11;1461681/4000000,36567187/100000000;8,36542025,0,0,60450000,60450000,0;10,3656718700,0,0,6047080845,6047080845,508068171950
22;L;11,12;36567187/100000000,36728429/100000000;10,3656718700,0,0,6047080845,6047080845,508068171950;8,36728429,0,0,60603984,60603984,46655488
23;C;0,3;2014451/5000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
24;C;0,6;36890881/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
24;C;6,7;18071401/50000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
24;C;7,8;18058981/50000000;2,36,0,0,60,60,0;6,361179,0,0,600949,600949,78598798
24;L;8,9;18058981/50000000,90601/250000;6,361179,0,0,600949,600949,78598798;6,362404,0,0,602000,602000,0
24;L;9,10;90601/250000,1461681/4000000;6,362404,0,0,602000,602000,0;8,36542025,0,0,60450000,60450000,0
24;L;10,11;1461681/4000000,36567187/100000000;8,36542025,0,0,60450000,60450000,0;10,3656718700,0,0,6047080845,6047080845,508068171950
24;L;11,12;36567187/100000000,36728429/100000000;10,3656718700,0,0,6047080845,6047080845,508068171950;8,36728429,0,0,60603984,60603984,46655488
25;C;3,7;18071401/50000000;2,36,60,60,0,0,0;2,36,60,60,0,0,0
25;C;7,8;18058981/50000000;2,36,60,60,0,0,0;6,361179,600949,600949,0,0,78598798
25;L;8,9;18058981/50000000,90601/250000;6,361179,600949,600949,0,0,78598798;6,362404,602000,602000,0,0,0
25;L;9,10;90601/250000,1461681/4000000;6,362404,602000,602000,0,0,0;8,36542025,60450000,60450000,0,0,0
25;L;10,11;1461681/4000000,36567187/100000000;8,36542025,60450000,60450000,0,0,0;10,3656718700,6047080845,6047080845,0,0,508068171950
25;L;11,12;36567187/100000000,36728429/100000000;10,3656718700,6047080845,6047080845,0,0,508068171950;8,36728429,60603984,60603984,0,0,46655488
26;C;0,3;2014451/5000000;2,40,0,0,59,59,1038;2,40,0,0,60,60,800
27;C;0,5;37967901/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
28;C;0,3;2014451/5000000;2,40,0,59,59,0,1038;2,40,0,60,60,0,800
29;C;0,5;37967901/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
30;C;3,5;37967901/100000000;2,37,60,60,0,0,200;2,37,60,60,0,0,200
31;C;0,38;13423799/50000000;2,26,0,0,19,59,1358;2,26,0,0,21,66,403
32;C;0,38;13423799/50000000;2,26,0,0,19,59,1358;2,26,0,0,21,66,403
33;C;5,15;18058981/50000000;2,36,60,0,0,60,0;2,36,61,0,0,51,878
33;C;15,20;33947093/100000000;2,33,61,0,0,51,278;2,33,62,0,0,47,547
33;C;20,26;30741881/100000000;4,3074,6170,0,0,4602,2232696;2,30,64,0,0,37,535
33;C;26,37;842001/3125000;4,2694,6320,0,0,3672,454016;2,26,66,0,0,22,360
33;C;37,42;23972613/100000000;4,2397,6570,0,0,2121,276459;4,2397,6670,0,0,1501,1198099
33;L;42,43;23972613/100000000,4663419/20000000;4,2397,6670,0,0,1501,1198099;8,23317095,66950000,0,0,13457952,27965696
33;L;43,44;4663419/20000000,5822039/25000000;8,23317095,66950000,0,0,13457952,27965696;8,23288156,67200000,0,0,11907606,119348764
33;L;44,45;5822039/25000000,23283877/100000000;8,23288156,67200000,0,0,11907606,119348764;8,23283877,67450000,0,0,10357260,65292400
33;L;45,46;23283877/100000000,23304259/100000000;8,23283877,67450000,0,0,10357260,65292400;8,23304259,67700000,0,0,8806914,65796604
33;L;46,47;23304259/100000000,11674651/50000000;8,23304259,67700000,0,0,8806914,65796604;8,23349302,67950000,0,0,7256567,135374511
33;L;47,48;11674651/50000000,11705911/50000000;8,23349302,67950000,0,0,7256567,135374511;8,23411822,68177813,0,0,5843813,64158062
34;C;0,48;23283877/100000000;2,23,0,0,19,46,2123;2,23,0,0,22,53,1307
35;C;0,48;23283877/100000000;2,23,0,0,19,57,990;2,23,0,0,22,53,1307
36;C;38,40;12756473/50000000;2,25,21,0,0,66,203;2,25,21,0,0,64,463
36;C;40,43;4663419/20000000;2,23,21,0,0,64,63;2,23,22,0,0,60,516
36;C;43,48;23283877/100000000;2,23,22,0,0,60,516;2,23,22,0,0,53,1307
37;C;0,3;2014451/5000000;2,40,0,0,55,59,1494;2,40,0,0,55,60,1375
38;C;0,48;23283877/100000000;2,23,0,0,0,59,1119;4,2328,0,0,0,6818,74876
39;C;0,3;2014451/5000000;2,40,0,0,59,56,1383;2,40,0,0,60,55,1375
40;C;0,48;23283877/100000000;2,23,0,0,59,10,1019;4,2328,0,0,6818,0,74876
41;C;3,14;18058981/50000000;2,36,60,0,0,55,575;2,36,61,0,0,44,1543
41;C;14,25;7806957/25000000;2,31,61,0,0,44,543;2,31,63,0,0,29,1390
41;C;25,36;27236957/100000000;2,27,63,0,0,29,590;2,27,66,0,0,12,900
41;C;36,48;23283877/100000000;2,23,66,0,0,12,100;4,2328,6818,0,0,0,74876
42;C;0,24;31733077/100000000;2,31,0,0,6,59,2683;2,31,0,0,6,63,2195
42;C;24,36;27236957/100000000;2,27,0,0,6,63,1395;2,27,0,0,6,66,1008
42;C;36,42;23972613/100000000;2,23,0,0,6,66,208;2,23,0,0,6,67,75
42;C;42,45;23283877/100000000;2,23,0,0,6,67,75;4,2328,0,0,579,6745,729734
42;C;45,46;23283877/100000000;4,2328,0,0,579,6745,729734;4,2328,0,0,581,6770,389539
42;C;46,47;23304259/100000000;4,2330,0,0,581,6770,429539;4,2330,0,0,583,6795,88086
42;L;47,48;11674651/50000000,11705911/50000000;4,2334,0,0,583,6795,168086;8,23411822,0,0,5843813,68177813,64158062
43;C;0,24;31733077/100000000;2,31,0,0,59,16,2463;2,31,0,0,63,12,2087
43;C;24,36;27236957/100000000;2,27,0,0,63,12,1287;2,27,0,0,66,9,963
43;C;36,42;23972613/100000000;2,23,0,0,66,9,163;2,23,0,0,67,8,47
43;C;42,45;23283877/100000000;2,23,0,0,67,8,47;4,2328,0,0,6745,662,626731
43;C;45,46;23283877/100000000;4,2328,0,0,6745,662,626731;4,2328,0,0,6770,635,323875
43;C;46,47;23304259/100000000;4,2330,0,0,6770,635,363875;4,2330,0,0,6795,609,57094
43;L;47,48;11674651/50000000,11705911/50000000;4,2334,0,0,6795,609,137094;8,23411822,0,0,68177813,5843813,64158062
44;C;0,38;13423799/50000000;2,26,0,0,29,59,878;10,2684759800,0,0,3227547468,6578611726,1100342089900
45;C;0,38;13423799/50000000;2,26,0,0,26,59,1043;10,2684759800,0,0,3227547468,6578611726,1100342089900
46;C;12,15;36728429/100000000;8,36728429,60603984,0,0,60603984,46655488;4,3672,6095,0,0,5872,1810591
46;C;15,16;1485961/4000000;2,37,61,0,0,59,198;2,37,61,0,0,59,198
46;L;16,17;18597049/50000000,17584957/50000000;2,37,61,0,0,59,198;8,35169914,61200000,0,0,57345817,72602511
46;L;17,18;17584957/50000000,7031643/20000000;8,35169914,61200000,0,0,57345817,72602511;10,3515821500,6120463845,0,0,5732046058,311014476611
46;L;18,19;7031643/20000000,34548853/100000000;10,3515821500,6120463845,0,0,5732046058,311014476611;8,34548853,61450000,0,0,55979174,178277724
46;L;19,20;34548853/100000000,33947093/100000000;8,34548853,61450000,0,0,55979174,178277724;8,33947093,61700000,0,0,54612531,57774039
46;L;20,21;33947093/100000000,8341159/25000000;8,33947093,61700000,0,0,54612531,57774039;8,33364636,61950000,0,0,53245888,111091456
46;L;21,22;8341159/25000000,32801481/100000000;8,33364636,61950000,0,0,53245888,111091456;8,32801481,62200000,0,0,51879245,138229975
46;L;22,23;32801481/100000000,8064407/25000000;8,32801481,62200000,0,0,51879245,138229975;8,32257628,62450000,0,0,50512602,139189596
46;L;23,24;8064407/25000000,31733077/100000000;8,32257628,62450000,0,0,50512602,139189596;8,31733077,62700000,0,0,49145959,113970319
46;L;24,25;31733077/100000000,7806957/25000000;8,31733077,62700000,0,0,49145959,113970319;8,31227828,62950000,0,0,47779316,62572144
46;L;25,26;7806957/25000000,30741881/100000000;8,31227828,62950000,0,0,47779316,62572144;10,3074188100,6320000000,0,0,4641267207,713226419151
46;L;26,27;30741881/100000000,30275237/100000000;10,3074188100,6320000000,0,0,4641267207,713226419151;8,30275237,63450000,0,0,45046029,171331159
46;L;27,28;30275237/100000000,14913947/50000000;8,30275237,63450000,0,0,45046029,171331159;8,29827894,63700000,0,0,43679386,38663004
46;L;28,29;14913947/50000000,14699927/50000000;8,29827894,63700000,0,0,43679386,38663004;8,29399854,63950000,0,0,42312743,79815951
46;L;29,30;14699927/50000000,7247779/25000000;8,29399854,63950000,0,0,42312743,79815951;8,28991116,64200000,0,0,40946100,94790000
46;L;30,31;7247779/25000000,357521/1250000;8,28991116,64200000,0,0,40946100,94790000;8,28601680,64450000,0,0,39579457,83585151
46;L;31,32;357521/1250000,14115773/50000000;8,28601680,64450000,0,0,39579457,83585151;8,28231546,64700000,0,0,38212814,46201404
46;L;32,33;14115773/50000000,14089231/50000000;8,28231546,64700000,0,0,38212814,46201404;8,28178462,64736961,0,0,38010765,24599254
46;L;33,34;14089231/50000000,13940357/50000000;8,28178462,64736961,0,0,38010765,24599254;10,2788071400,6495000000,0,0,3684617026,371710915324
46;L;34,35;13940357/50000000,5509837/20000000;10,2788071400,6495000000,0,0,3684617026,371710915324;8,27549185,65200000,0,0,35479528,92897216
46;L;35,36;5509837/20000000,27236957/100000000;8,27549185,65200000,0,0,35479528,92897216;10,2723695700,6545000000,0,0,3411288403,431557709591
46;L;36,37;27236957/100000000,842001/3125000;10,2723695700,6545000000,0,0,3411288403,431557709591;8,26944032,65700000,0,0,32746241,100369919
46;L;37,38;842001/3125000,13423799/50000000;8,26944032,65700000,0,0,32746241,100369919;10,2684759800,6578611726,0,0,3227547468,1100342089900
47;C;0,48;23283877/100000000;2,23,0,0,30,46,1584;2,23,0,0,35,53,566
48;C;0,48;23283877/100000000;2,23,0,0,26,57,675;2,23,0,0,35,53,566
49;L;38,39;13423799/50000000,13156333/50000000;10,2684759800,3227547468,0,0,6578611726,1100342089900;10,2631266600,3244740378,0,0,6488219402,870887179512
49;L;39,40;13156333/50000000,12756473/50000000;10,2631266600,3244740378,0,0,6488219402,870887179512;10,2551294600,3270967836,0,0,6350327633,369410094415
49;L;40,41;12756473/50000000,24732929/100000000;10,2551294600,3270967836,0,0,6350327633,369410094415;8,24732929,32971953,0,0,62124359,134204910
49;L;41,42;24732929/100000000,23972613/100000000;8,24732929,32971953,0,0,62124359,134204910;8,23972613,33234228,0,0,60745441,86959535
49;L;42,43;23972613/100000000,4663419/20000000;8,23972613,33234228,0,0,60745441,86959535;4,2331,3350,0,0,5937,149531
49;C;43,48;23283877/100000000;4,2328,3350,0,0,5937,89531;2,23,35,0,0,53,566
50;C;0,3;2014451/5000000;2,40,0,0,25,59,3894;2,40,0,0,25,60,3775
51;C;0,14;18058981/50000000;2,36,0,0,15,59,3494;2,36,0,0,16,61,3223
52;C;0,3;2014451/5000000;2,40,0,0,59,26,3843;2,40,0,0,60,25,3775
53;C;0,14;18058981/50000000;2,36,0,0,15,59,3494;2,36,0,0,16,61,3223
54;C;3,33;14089231/50000000;2,28,60,0,0,25,1375;2,28,65,0,0,0,1375
55;C;0,33;14089231/50000000;2,28,0,0,15,37,4006;2,28,0,0,17,41,3630
56;C;0,33;14089231/50000000;2,28,0,0,15,44,3439;2,28,0,0,17,41,3630
57;C;14,33;14089231/50000000;2,28,16,0,0,61,1623;2,28,17,0,0,41,3630
58;C;0,3;2014451/5000000;2,40,0,0,18,59,4195;2,40,0,0,18,60,4076
59;C;0,33;14089231/50000000;2,28,0,0,0,59,2119;2,28,0,0,0,65,1375
60;C;0,3;2014451/5000000;2,40,0,0,59,19,4158;2,40,0,0,60,18,4076
61;C;0,33;14089231/50000000;2,28,0,0,59,0,2119;2,28,0,0,65,0,1375
62;C;3,33;14089231/50000000;2,28,60,0,0,18,1676;2,28,65,0,0,0,1375
63;C;0,33;14089231/50000000;2,28,0,0,0,59,2119;2,28,0,0,0,65,1375
64;C;0,33;14089231/50000000;2,28,0,0,59,0,2119;2,28,0,0,65,0,1375
65;C;0,3;2014451/5000000;2,40,0,0,32,59,3495;2,40,0,0,33,60,3311
66;C;0,14;18058981/50000000;2,36,0,0,23,59,3190;2,36,0,0,24,61,2903
67;C;0,3;2014451/5000000;2,40,0,0,59,33,3430;2,40,0,0,60,33,3311
68;C;0,14;18058981/50000000;2,36,0,0,22,59,3235;2,36,0,0,24,61,2903
69;C;3,14;18058981/50000000;2,36,60,0,0,33,2511;2,36,61,0,0,24,2903
70;C;0,33;14089231/50000000;2,28,0,0,25,37,3606;2,28,0,0,27,41,3190
71;C;0,33;14089231/50000000;2,28,0,0,21,44,3223;2,28,0,0,27,41,3190
72;C;14,33;14089231/50000000;2,28,24,0,0,61,1303;2,28,27,0,0,41,3190
MASS SLACK NUMERATOR 7846965476677670127750621832071436591945036592370298733706922424645752766513217605898436575329297073326940490987733964229
BIN 14: PATH1; (6/5,339/280]; gamma0=5883/10000; mass ceiling=3050921/3125000.
GAMMA 0=5883/10000;1=1477/2500;2=13065907500/22065092081;3=5933/10000;4=12879618750/21692514581;5=2979/5000;6=5983/10000;7=4310336250/7180749913;8=751/1250;9=6033/10000;10=29934675000/49564289309;11=11742615000/19418507081;12=3029/5000;13=6091856250/10045810933;14=6083/10000;15=12693330000/20841289657;16=1527/2500;17=5871307500/9596850281;18=6133/10000;19=3079/5000;20=6183/10000;21=388/625;22=6233/10000;23=3129/5000;24=6283/10000;25=1577/2500;26=6333/10000;27=3179/5000;28=6383/10000;29=801/1250;30=6433/10000;31=3229/5000;32=5183966250/8014861003;33=6483/10000;34=1627/2500;35=6533/10000;36=8586412500/13106102081;37=3279/5000;38=6583/10000;39=413/625;40=6633/10000;41=3329/5000;42=6683/10000;43=1677/2500;44=6733/10000;45=3379/5000;46=6783/10000;47=7669957500/11273192081;48=851/1250;49=6833/10000;50=3429/5000;51=6883/10000;52=1727/2500;53=6933/10000;54=3479/5000;55=6983/10000;56=438/625;57=7033/10000;58=3529/5000;59=7083/10000;60=1777/2500;61=7133/10000;62=3579/5000;63=7183/10000;64=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38430540,38743766;1,2,38743766,38913807;2,3,38913807,37678627;3,4,37678627,37288413;4,5,37288413,36029439;5,6,36029439,35796289;6,7,35796289,36031530;7,8,36031530,36096064;8,9,36096064,36397089;9,10,36397089,36476347;10,11,36476347,36567728;11,12,36567728,36699364;12,13,36699364,36773020;13,14,36773020,37002889;14,15,37002889,37093855;15,16,37093855,34584770;16,17,34584770,34265225;17,18,34265225,33805184;18,19,33805184,33063435;19,20,33063435,32349867;20,21,32349867,31664480;21,22,31664480,31007273;22,23,31007273,30378248;23,24,30378248,29777402;24,25,29777402,29204738;25,26,29204738,28660254;26,27,28660254,28143951;27,28,28143951,27655828;28,29,27655828,27195887;29,30,27195887,26764126;30,31,26764126,26360545;31,32,26360545,26207869;32,33,26207869,25985146;33,34,25985146,25637927;34,35,25637927,25318888;35,36,25318888,25101379;36,37,25101379,24833203;37,38,24833203,23826163;38,39,23826163,22848219;39,40,22848219,22240504;40,41,22240504,22293293;41,42,22293293,22382189;42,43,22382189,22507191;43,44,22507191,22666645;44,45,22666645,22835282;45,46,22835282,23004545;46,47,23004545,23145263;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;18948031631/5395950000,1/3,22065092081/10791900000;-31278645570841
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;671/420,5/3,457/840;-81
10;6;1;-1
11;2,3,7;233/168,4/3,457/840;-103
14;6;1;-1
15;2,3,10;233/168,4/3,457/840;-103
17;2,3,5;24/35,11/3,457/840;-53
18;1,4,8;13752930881/3597300000,4/3,22065092081/10791900000;-19287645570841
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;233/168,4/3,457/840;-103
29;1,3,9;383/420,10/3,339/280;-383
30;1,4,11;13752930881/3597300000,4/3,22065092081/10791900000;-19287645570841
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;233/168,4/3,457/840;-103
41;1,3,12;383/420,10/3,339/280;-383
42;1,4,14;18948031631/5395950000,1/3,22065092081/10791900000;-31278645570841
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;233/168,4/3,457/840;-103
56;2,3,7;233/168,4/3,457/840;-103
58;2,3,10;233/168,4/3,457/840;-103
59;2,3,13;24/35,11/3,457/840;-53
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;1091/420,5/3,199/280;-103
70;6;1;-1
74;6;1;-1
77;2,3,5;59/35,4,199/280;-25
78;1,4,8;19666892081/3597300000,1/3,22065092081/10791900000;-37274145570841
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;5277692081/1798650000,14/3,22065092081/10791900000;-1301145570841
86;8;1;-1
89;1,3,9;383/420,10/3,339/280;-383
90;1,4,11;19666892081/3597300000,1/3,22065092081/10791900000;-37274145570841
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;5277692081/1798650000,14/3,22065092081/10791900000;-1301145570841
98;11;1;-1
101;1,3,12;383/420,10/3,339/280;-383
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;1091/420,5/3,199/280;-103
119;2,3,13;59/35,4,199/280;-25
120;0,1,6;5/3,2,1;-1
121;1,4,6;3001535489/674493750,5/3,22065092081/10791900000;-13292145570841
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;1511/420,13/6,269/280;-103
130;6;1;-1
132;1,4,6;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
134;6;1;-1
137;2,3,5;94/35,5,269/280;-11
138;0,1,8;2/3,3,1;-2
139;1,4,8;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;7311965231/1798650000,11/3,22065092081/10791900000;-10294395570841
144;1,4,8;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
146;8;1;-1
149;1,3,9;383/420,10/3,339/280;-383
150;0,1,11;2/3,3,1;-2
151;1,4,11;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;7311965231/1798650000,11/3,22065092081/10791900000;-10294395570841
156;1,4,11;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
158;11;1;-1
161;1,3,12;383/420,10/3,339/280;-383
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;9189635921/2158380000,8/3,22065092081/10791900000;-11293645570841
169;14;1;-1
171;1,4,14;3001535489/674493750,5/3,22065092081/10791900000;-13292145570841
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;1511/420,13/6,269/280;-103
179;2,3,13;94/35,5,269/280;-11
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;79346240164520,61192378228510253025000,151339753175415,73220
4;1,4,6,3;79346240164520,82158871298424607260000,217281007864284,48664
5;5,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
12;1,4,6,3;79346240164520,82158871298424607260000,217281007864284,48664
13;5,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
16;5,4,2,3;4716137515880,1621186050066445800000,631345343125560,179760
19;1,4,8,3;79346240164520,82158871298424607260000,217281007864284,48664
22;1,4,8,3;79346240164520,3255389089766314200000,4716137515880,96880
23;7,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
24;1,4,8,3;79346240164520,82158871298424607260000,217281007864284,48664
25;7,4,2,3;151339753175415,2247206512923591975000,631345343125560,15540
28;7,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
31;1,4,11,3;79346240164520,82158871298424607260000,217281007864284,48664
34;1,4,11,3;79346240164520,3255389089766314200000,4716137515880,96880
35;10,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
36;1,4,11,3;79346240164520,82158871298424607260000,217281007864284,48664
37;10,4,2,3;151339753175415,2247206512923591975000,631345343125560,15540
40;10,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
44;1,4,14,3;79346240164520,82158871298424607260000,217281007864284,48664
48;1,4,14,3;79346240164520,82158871298424607260000,217281007864284,48664
50;13,4,2,3;4716137515880,1621186050066445800000,631345343125560,179760
51;1,4,14,3;79346240164520,61192378228510253025000,151339753175415,73220
53;13,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
57;13,4,2,3;217281007864284,18333862921016620740000,631345343125560,42168
61;1,4,6,3;79346240164520,25330501782020506050000,111547549486695,14420
64;1,4,6,3;79346240164520,4515467558424607260000,132061912637424,1624
65;5,4,9,3;132061912637424,2158380000,1471835644856136,168
71;7,4,2,3;1471835644856136,4845475343899595160000,968742692164520,11984
72;1,4,6,3;79346240164520,4515467558424607260000,132061912637424,1624
73;5,4,12,3;132061912637424,2158380000,1471835644856136,168
75;10,4,2,3;1471835644856136,4845475343899595160000,968742692164520,11984
76;1,4,2,3;79346240164520,194108509350000000000000,968742692164520,39200
79;1,4,8,3;79346240164520,4515467558424607260000,132061912637424,1624
83;7,4,2,3;132061912637424,52560198530849392740000,968742692164520,45416
84;1,4,8,3;79346240164520,4515467558424607260000,132061912637424,1624
85;7,4,12,3;111547549486695,26899688963353898790000,1471835644856136,61908
87;10,4,2,3;1471835644856136,4845475343899595160000,968742692164520,11984
88;7,4,2,3;132061912637424,52560198530849392740000,968742692164520,45416
91;1,4,11,3;79346240164520,4515467558424607260000,132061912637424,1624
95;10,4,2,3;132061912637424,52560198530849392740000,968742692164520,45416
96;1,4,11,3;79346240164520,4515467558424607260000,132061912637424,1624
97;10,4,9,3;111547549486695,26899688963353898790000,1471835644856136,61908
99;7,4,2,3;1471835644856136,4845475343899595160000,968742692164520,11984
100;10,4,2,3;132061912637424,52560198530849392740000,968742692164520,45416
104;1,4,14,3;79346240164520,4515467558424607260000,132061912637424,1624
108;1,4,14,3;79346240164520,4515467558424607260000,132061912637424,1624
110;1,4,2,3;79346240164520,194108509350000000000000,968742692164520,39200
111;1,4,14,3;79346240164520,25330501782020506050000,111547549486695,14420
113;13,4,9,3;132061912637424,2158380000,1471835644856136,168
116;7,4,2,3;1471835644856136,4845475343899595160000,968742692164520,11984
117;13,4,12,3;132061912637424,2158380000,1471835644856136,168
118;10,4,2,3;1471835644856136,4845475343899595160000,968742692164520,11984
125;1,4,9,3;79346240164520,20264401425616404840000,611203078470096,11536
131;7,4,2,3;611203078470096,12849720760171459080000,437568620472760,23744
133;1,4,12,3;79346240164520,20264401425616404840000,611203078470096,11536
135;10,4,2,3;611203078470096,12849720760171459080000,437568620472760,23744
136;1,4,2,3;79346240164520,48527127337500000000000,437568620472760,19600
143;1,4,2,3;79346240164520,48527127337500000000000,437568620472760,19600
145;1,4,12,3;79346240164520,20264401425616404840000,611203078470096,11536
147;10,4,2,3;611203078470096,12849720760171459080000,437568620472760,23744
148;1,4,2,3;79346240164520,48527127337500000000000,437568620472760,19600
155;1,4,2,3;79346240164520,48527127337500000000000,437568620472760,19600
157;1,4,9,3;79346240164520,20264401425616404840000,611203078470096,11536
159;7,4,2,3;611203078470096,12849720760171459080000,437568620472760,23744
160;1,4,2,3;79346240164520,48527127337500000000000,437568620472760,19600
170;1,4,2,3;79346240164520,48527127337500000000000,437568620472760,19600
173;1,4,9,3;79346240164520,20264401425616404840000,611203078470096,11536
176;7,4,2,3;611203078470096,12849720760171459080000,437568620472760,23744
177;1,4,12,3;79346240164520,20264401425616404840000,611203078470096,11536
178;10,4,2,3;611203078470096,12849720760171459080000,437568620472760,23744
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;64;V;3,1
27;64;V;6,3
28;64;E;4,1
29;64;E;4,6
30;64;E;4,3
31;65;V;9,3
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;2,3
39;76;E;4,1
40;76;E;4,2
41;76;E;4,3
42;83;V;2,3
43;83;E;4,2
44;85;V;12,3
45;85;E;4,12
46;85;E;4,3
47;87;V;2,3
48;87;E;4,2
49;87;E;4,3
50;125;V;3,1
51;125;V;9,3
52;125;E;4,1
53;125;E;4,9
54;125;E;4,3
55;131;V;2,3
56;131;E;4,2
57;131;E;4,3
58;136;V;3,1
59;136;V;2,3
60;136;E;4,1
61;136;E;4,2
62;136;E;4,3
63;143;V;2,3
64;143;E;4,2
65;145;V;3,1
66;145;V;12,3
67;145;E;4,1
68;145;E;4,12
69;145;E;4,3
70;147;V;2,3
71;147;E;4,2
72;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/2;V/6,3/1/0/15;E/4,1/2/0/2;E/4,6/3/0/15;E/4,3/4/2/15
4:V/3,1/5/0/2;V/6,3/6/0/10;E/4,1/7/0/2;E/4,6/8/0/10;E/4,3/9/2/10
5:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
12:V/3,1/5/0/2;V/6,3/6/0/10;E/4,1/7/0/2;E/4,6/8/0/10;E/4,3/9/2/10
13:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
16:V/3,5/13/0/7;V/2,3/14/0/17;E/4,5/15/0/7;E/4,2/16/0/17;E/4,3/17/7/17
19:V/3,1/0/0/2;V/8,3/6/0/10;E/4,1/2/0/2;E/4,8/8/0/10;E/4,3/4/2/10
22:V/3,1/5/0/2;V/8,3/13/0/7;E/4,1/7/0/2;E/4,8/15/0/7;E/4,3/9/2/7
23:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
24:V/3,1/0/0/2;V/8,3/6/0/10;E/4,1/2/0/2;E/4,8/8/0/10;E/4,3/4/2/10
25:V/3,7/1/0/15;V/2,3/18/0/17;E/4,7/3/0/15;E/4,2/19/0/17;E/4,3/20/15/17
28:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
31:V/3,1/0/0/2;V/11,3/6/0/10;E/4,1/2/0/2;E/4,11/8/0/10;E/4,3/4/2/10
34:V/3,1/5/0/2;V/11,3/13/0/7;E/4,1/7/0/2;E/4,11/15/0/7;E/4,3/9/2/7
35:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
36:V/3,1/0/0/2;V/11,3/6/0/10;E/4,1/2/0/2;E/4,11/8/0/10;E/4,3/4/2/10
37:V/3,10/1/0/15;V/2,3/18/0/17;E/4,10/3/0/15;E/4,2/19/0/17;E/4,3/20/15/17
40:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
44:V/3,1/5/0/2;V/14,3/6/0/10;E/4,1/7/0/2;E/4,14/8/0/10;E/4,3/9/2/10
48:V/3,1/5/0/2;V/14,3/6/0/10;E/4,1/7/0/2;E/4,14/8/0/10;E/4,3/9/2/10
50:V/3,13/13/0/7;V/2,3/14/0/17;E/4,13/15/0/7;E/4,2/16/0/17;E/4,3/17/7/17
51:V/3,1/0/0/2;V/14,3/1/0/15;E/4,1/2/0/2;E/4,14/3/0/15;E/4,3/4/2/15
53:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
57:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
61:V/3,1/21/0/2;V/6,3/22/0/11;E/4,1/23/0/2;E/4,6/24/0/11;E/4,3/25/2/11
64:V/3,1/26/0/2;V/6,3/27/0/4;E/4,1/28/0/2;E/4,6/29/0/4;E/4,3/30/2/4
65:V/3,5/27/0/4;V/9,3/31/0/36;E/4,5/29/0/4;E/4,9/32/0/36;E/4,3/33/4/36
71:V/3,7/31/0/36;V/2,3/34/0/47;E/4,7/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
72:V/3,1/26/0/2;V/6,3/27/0/4;E/4,1/28/0/2;E/4,6/29/0/4;E/4,3/30/2/4
73:V/3,5/27/0/4;V/12,3/31/0/36;E/4,5/29/0/4;E/4,12/32/0/36;E/4,3/33/4/36
75:V/3,10/31/0/36;V/2,3/34/0/47;E/4,10/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
76:V/3,1/37/0/2;V/2,3/38/0/47;E/4,1/39/0/2;E/4,2/40/0/47;E/4,3/41/2/47
79:V/3,1/21/0/2;V/8,3/27/0/4;E/4,1/23/0/2;E/4,8/29/0/4;E/4,3/25/2/4
83:V/3,7/27/0/4;V/2,3/42/0/47;E/4,7/29/0/4;E/4,2/43/0/47;E/4,3/33/4/47
84:V/3,1/21/0/2;V/8,3/27/0/4;E/4,1/23/0/2;E/4,8/29/0/4;E/4,3/25/2/4
85:V/3,7/22/0/11;V/12,3/44/0/36;E/4,7/24/0/11;E/4,12/45/0/36;E/4,3/46/11/36
87:V/3,10/44/0/36;V/2,3/47/0/47;E/4,10/45/0/36;E/4,2/48/0/47;E/4,3/49/36/47
88:V/3,7/27/0/4;V/2,3/42/0/47;E/4,7/29/0/4;E/4,2/43/0/47;E/4,3/33/4/47
91:V/3,1/21/0/2;V/11,3/27/0/4;E/4,1/23/0/2;E/4,11/29/0/4;E/4,3/25/2/4
95:V/3,10/27/0/4;V/2,3/42/0/47;E/4,10/29/0/4;E/4,2/43/0/47;E/4,3/33/4/47
96:V/3,1/21/0/2;V/11,3/27/0/4;E/4,1/23/0/2;E/4,11/29/0/4;E/4,3/25/2/4
97:V/3,10/22/0/11;V/9,3/44/0/36;E/4,10/24/0/11;E/4,9/45/0/36;E/4,3/46/11/36
99:V/3,7/44/0/36;V/2,3/47/0/47;E/4,7/45/0/36;E/4,2/48/0/47;E/4,3/49/36/47
100:V/3,10/27/0/4;V/2,3/42/0/47;E/4,10/29/0/4;E/4,2/43/0/47;E/4,3/33/4/47
104:V/3,1/26/0/2;V/14,3/27/0/4;E/4,1/28/0/2;E/4,14/29/0/4;E/4,3/30/2/4
108:V/3,1/26/0/2;V/14,3/27/0/4;E/4,1/28/0/2;E/4,14/29/0/4;E/4,3/30/2/4
110:V/3,1/37/0/2;V/2,3/38/0/47;E/4,1/39/0/2;E/4,2/40/0/47;E/4,3/41/2/47
111:V/3,1/21/0/2;V/14,3/22/0/11;E/4,1/23/0/2;E/4,14/24/0/11;E/4,3/25/2/11
113:V/3,13/27/0/4;V/9,3/31/0/36;E/4,13/29/0/4;E/4,9/32/0/36;E/4,3/33/4/36
116:V/3,7/31/0/36;V/2,3/34/0/47;E/4,7/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
117:V/3,13/27/0/4;V/12,3/31/0/36;E/4,13/29/0/4;E/4,12/32/0/36;E/4,3/33/4/36
118:V/3,10/31/0/36;V/2,3/34/0/47;E/4,10/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
125:V/3,1/50/0/2;V/9,3/51/0/13;E/4,1/52/0/2;E/4,9/53/0/13;E/4,3/54/2/13
131:V/3,7/51/0/13;V/2,3/55/0/32;E/4,7/53/0/13;E/4,2/56/0/32;E/4,3/57/13/32
133:V/3,1/50/0/2;V/12,3/51/0/13;E/4,1/52/0/2;E/4,12/53/0/13;E/4,3/54/2/13
135:V/3,10/51/0/13;V/2,3/55/0/32;E/4,10/53/0/13;E/4,2/56/0/32;E/4,3/57/13/32
136:V/3,1/58/0/2;V/2,3/59/0/32;E/4,1/60/0/2;E/4,2/61/0/32;E/4,3/62/2/32
143:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
145:V/3,1/65/0/2;V/12,3/66/0/13;E/4,1/67/0/2;E/4,12/68/0/13;E/4,3/69/2/13
147:V/3,10/66/0/13;V/2,3/70/0/32;E/4,10/68/0/13;E/4,2/71/0/32;E/4,3/72/13/32
148:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
155:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
157:V/3,1/65/0/2;V/9,3/66/0/13;E/4,1/67/0/2;E/4,9/68/0/13;E/4,3/69/2/13
159:V/3,7/66/0/13;V/2,3/70/0/32;E/4,7/68/0/13;E/4,2/71/0/32;E/4,3/72/13/32
160:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
170:V/3,1/58/0/2;V/2,3/59/0/32;E/4,1/60/0/2;E/4,2/61/0/32;E/4,3/62/2/32
173:V/3,1/50/0/2;V/9,3/51/0/13;E/4,1/52/0/2;E/4,9/53/0/13;E/4,3/54/2/13
176:V/3,7/51/0/13;V/2,3/55/0/32;E/4,7/53/0/13;E/4,2/56/0/32;E/4,3/57/13/32
177:V/3,1/50/0/2;V/12,3/51/0/13;E/4,1/52/0/2;E/4,12/53/0/13;E/4,3/54/2/13
178:V/3,10/51/0/13;V/2,3/55/0/32;E/4,10/53/0/13;E/4,2/56/0/32;E/4,3/57/13/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;1921527/5000000,19371883/50000000;4,3843,0,2757,5883,5883,39573;4,3874,0,2769,5908,5908,3711
0;L;1,2;19371883/50000000,38913807/100000000;4,3874,0,2769,5908,5908,3711;10,3891380700,0,2774636960,5921528654,5921528654,539915854968
1;C;0,3;37678627/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
1;C;3,5;36029439/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
1;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
1;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
1;L;7,8;3603153/10000000,564001/1562500;8,36031530,0,0,60026269,60026269,59879278;8,36096064,0,0,60080000,60080000,0
1;L;8,9;564001/1562500,36397089/100000000;8,36096064,0,0,60080000,60080000,0;8,36397089,0,0,60330000,60330000,0
1;L;9,10;36397089/100000000,36476347/100000000;8,36397089,0,0,60330000,60330000,0;8,36476347,0,0,60395651,60395651,80572398
1;L;10,11;36476347/100000000,2285483/6250000;8,36476347,0,0,60395651,60395651,80572398;10,3656772800,0,0,6047125534,6047125534,1552090429688
1;L;11,12;2285483/6250000,9174841/25000000;10,3656772800,0,0,6047125534,6047125534,1552090429688;8,36699364,0,0,60580000,60580000,0
1;L;12,13;9174841/25000000,1838651/5000000;8,36699364,0,0,60580000,60580000,0;10,3677302000,0,0,6064076152,6064076152,845489745792
1;L;13,14;1838651/5000000,37002889/100000000;10,3677302000,0,0,6064076152,6064076152,845489745792;8,37002889,0,0,60830000,60830000,0
1;L;14,15;37002889/100000000,7418771/20000000;8,37002889,0,0,60830000,60830000,0;10,3709385500,0,0,6090472428,6090472428,1207543569632
2;L;0,1;1921527/5000000,19371883/50000000;8,38430540,0,58830000,58830000,27643627,86284871;8,38743766,0,59080000,59080000,27710294,6433564
2;L;1,2;19371883/50000000,38913807/100000000;8,38743766,0,59080000,59080000,27710294,6433564;10,3891380700,0,5921528654,5921528654,2774636960,539915854968
3;C;0,3;37678627/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
3;C;3,5;36029439/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
3;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
3;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
3;L;7,8;3603153/10000000,564001/1562500;8,36031530,0,0,60026269,60026269,59879278;8,36096064,0,0,60080000,60080000,0
3;L;8,9;564001/1562500,36397089/100000000;8,36096064,0,0,60080000,60080000,0;8,36397089,0,0,60330000,60330000,0
3;L;9,10;36397089/100000000,36476347/100000000;8,36397089,0,0,60330000,60330000,0;8,36476347,0,0,60395651,60395651,80572398
3;L;10,11;36476347/100000000,2285483/6250000;8,36476347,0,0,60395651,60395651,80572398;10,3656772800,0,0,6047125534,6047125534,1552090429688
3;L;11,12;2285483/6250000,9174841/25000000;10,3656772800,0,0,6047125534,6047125534,1552090429688;8,36699364,0,0,60580000,60580000,0
3;L;12,13;9174841/25000000,1838651/5000000;8,36699364,0,0,60580000,60580000,0;10,3677302000,0,0,6064076152,6064076152,845489745792
3;L;13,14;1838651/5000000,37002889/100000000;10,3677302000,0,0,6064076152,6064076152,845489745792;8,37002889,0,0,60830000,60830000,0
3;L;14,15;37002889/100000000,7418771/20000000;8,37002889,0,0,60830000,60830000,0;10,3709385500,0,0,6090472428,6090472428,1207543569632
4;L;2,3;38913807/100000000,37678627/100000000;10,3891380700,5921528654,5921528654,0,2774636960,539915854968;8,37678627,59330000,59330000,0,22262694,55862364
4;L;3,4;37678627/100000000,37288413/100000000;8,37678627,59330000,59330000,0,22262694,55862364;10,3728841300,5937356272,5937356272,0,2018025467,213223955943
4;L;4,5;37288413/100000000,36029439/100000000;10,3728841300,5937356272,5937356272,0,2018025467,213223955943;8,36029439,59580000,59580000,0,10311884,48370544
4;L;5,6;36029439/100000000,35796289/100000000;8,36029439,59580000,59580000,0,10311884,48370544;8,35796289,59830000,59830000,0,0,0
4;L;6,7;35796289/100000000,3603153/10000000;8,35796289,59830000,59830000,0,0,0;8,36031530,60026269,60026269,0,0,59879278
4;L;7,8;3603153/10000000,564001/1562500;8,36031530,60026269,60026269,0,0,59879278;8,36096064,60080000,60080000,0,0,0
4;L;8,9;564001/1562500,36397089/100000000;8,36096064,60080000,60080000,0,0,0;8,36397089,60330000,60330000,0,0,0
4;L;9,10;36397089/100000000,36476347/100000000;8,36397089,60330000,60330000,0,0,0;8,36476347,60395651,60395651,0,0,80572398
4;L;10,11;36476347/100000000,2285483/6250000;8,36476347,60395651,60395651,0,0,80572398;10,3656772800,6047125534,6047125534,0,0,1552090429688
4;L;11,12;2285483/6250000,9174841/25000000;10,3656772800,6047125534,6047125534,0,0,1552090429688;8,36699364,60580000,60580000,0,0,0
4;L;12,13;9174841/25000000,1838651/5000000;8,36699364,60580000,60580000,0,0,0;10,3677302000,6064076152,6064076152,0,0,845489745792
4;L;13,14;1838651/5000000,37002889/100000000;10,3677302000,6064076152,6064076152,0,0,845489745792;8,37002889,60830000,60830000,0,0,0
4;L;14,15;37002889/100000000,7418771/20000000;8,37002889,60830000,60830000,0,0,0;10,3709385500,6090472428,6090472428,0,0,1207543569632
5;C;0,2;1921527/5000000;2,38,0,21,59,59,197;4,3843,0,2019,5922,5922,2643471
6;C;0,5;36029439/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
6;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
6;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
6;L;7,8;3603153/10000000,564001/1562500;8,36031530,0,0,60026269,60026269,59879278;8,36096064,0,0,60080000,60080000,0
6;L;8,9;564001/1562500,36397089/100000000;8,36096064,0,0,60080000,60080000,0;8,36397089,0,0,60330000,60330000,0
6;L;9,10;36397089/100000000,36476347/100000000;8,36397089,0,0,60330000,60330000,0;8,36476347,0,0,60395651,60395651,80572398
7;C;0,2;1921527/5000000;2,38,0,59,59,21,197;4,3843,0,5922,5922,2019,2643471
8;C;0,5;36029439/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
8;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
8;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
8;L;7,8;3603153/10000000,564001/1562500;8,36031530,0,0,60026269,60026269,59879278;8,36096064,0,0,60080000,60080000,0
8;L;8,9;564001/1562500,36397089/100000000;8,36096064,0,0,60080000,60080000,0;8,36397089,0,0,60330000,60330000,0
8;L;9,10;36397089/100000000,36476347/100000000;8,36397089,0,0,60330000,60330000,0;8,36476347,0,0,60395651,60395651,80572398
9;C;2,4;37288413/100000000;4,3728,5922,5922,0,2019,343471;2,37,60,60,0,12,56
9;C;4,5;36029439/100000000;4,3602,5938,5938,0,1184,118456;4,3602,5958,5958,0,94,1035636
9;C;5,6;35796289/100000000;4,3579,5958,5958,0,94,575636;8,35796289,59830000,59830000,0,0,0
9;L;6,7;35796289/100000000,3603153/10000000;8,35796289,59830000,59830000,0,0,0;8,36031530,60026269,60026269,0,0,59879278
9;L;7,8;3603153/10000000,564001/1562500;8,36031530,60026269,60026269,0,0,59879278;8,36096064,60080000,60080000,0,0,0
9;L;8,9;564001/1562500,36397089/100000000;8,36096064,60080000,60080000,0,0,0;8,36397089,60330000,60330000,0,0,0
9;L;9,10;36397089/100000000,36476347/100000000;8,36397089,60330000,60330000,0,0,0;8,36476347,60395651,60395651,0,0,80572398
10;C;0,17;1370609/4000000;2,34,0,0,36,59,2023;2,34,0,0,37,62,1587
11;C;0,17;1370609/4000000;2,34,0,0,59,40,1719;2,34,0,0,62,37,1587
12;C;10,13;36476347/100000000;8,36476347,60395651,0,0,60395651,80572398;2,36,61,0,0,53,670
12;C;13,17;1370609/4000000;2,34,61,0,0,53,270;2,34,62,0,0,37,1587
13;C;0,3;37678627/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
13;C;3,5;36029439/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
13;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
13;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
14;C;0,17;1370609/4000000;2,34,0,0,19,59,2958;2,34,0,0,20,62,2556
15;C;0,3;37678627/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
15;C;3,5;36029439/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
15;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
15;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
16;C;0,17;1370609/4000000;2,34,0,0,59,24,2743;2,34,0,0,62,20,2556
17;C;7,12;3603153/10000000;8,36031530,60026269,0,0,60026269,59879278;2,36,61,0,0,41,1798
17;C;12,17;1370609/4000000;2,34,61,0,0,41,1398;2,34,62,0,0,20,2556
18;C;0,17;1370609/4000000;2,34,0,0,52,59,615;2,34,0,0,54,62,40
19;C;0,17;1370609/4000000;2,34,0,0,59,56,183;2,34,0,0,62,54,40
20;L;15,16;7418771/20000000,3458477/10000000;10,3709385500,6090472428,0,0,6090472428,1207543569632;10,3458477000,6108000000,0,0,5644632483,131861254711
20;L;16,17;3458477/10000000,1370609/4000000;10,3458477000,6108000000,0,0,5644632483,131861254711;2,34,62,0,0,54,40
21;C;0,2;1921527/5000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
22;C;0,5;36029439/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
22;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
22;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
22;L;7,8;3603153/10000000,564001/1562500;8,36031530,0,0,60026269,60026269,59879278;8,36096064,0,0,60080000,60080000,0
22;L;8,9;564001/1562500,36397089/100000000;8,36096064,0,0,60080000,60080000,0;8,36397089,0,0,60330000,60330000,0
22;L;9,10;36397089/100000000,36476347/100000000;8,36397089,0,0,60330000,60330000,0;8,36476347,0,0,60395651,60395651,80572398
22;L;10,11;36476347/100000000,2285483/6250000;8,36476347,0,0,60395651,60395651,80572398;10,3656772800,0,0,6047125534,6047125534,1552090429688
23;C;0,2;1921527/5000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
24;C;0,5;36029439/100000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
24;C;5,6;35796289/100000000;4,3579,0,0,5958,5958,584472;8,35796289,0,0,59830000,59830000,0
24;L;6,7;35796289/100000000,3603153/10000000;8,35796289,0,0,59830000,59830000,0;8,36031530,0,0,60026269,60026269,59879278
24;L;7,8;3603153/10000000,564001/1562500;8,36031530,0,0,60026269,60026269,59879278;8,36096064,0,0,60080000,60080000,0
24;L;8,9;564001/1562500,36397089/100000000;8,36096064,0,0,60080000,60080000,0;8,36397089,0,0,60330000,60330000,0
24;L;9,10;36397089/100000000,36476347/100000000;8,36397089,0,0,60330000,60330000,0;8,36476347,0,0,60395651,60395651,80572398
24;L;10,11;36476347/100000000,2285483/6250000;8,36476347,0,0,60395651,60395651,80572398;10,3656772800,0,0,6047125534,6047125534,1552090429688
25;C;2,6;35796289/100000000;4,3579,5922,5922,0,0,1439832;8,35796289,59830000,59830000,0,0,0
25;L;6,7;35796289/100000000,3603153/10000000;8,35796289,59830000,59830000,0,0,0;8,36031530,60026269,60026269,0,0,59879278
25;L;7,8;3603153/10000000,564001/1562500;8,36031530,60026269,60026269,0,0,59879278;8,36096064,60080000,60080000,0,0,0
25;L;8,9;564001/1562500,36397089/100000000;8,36096064,60080000,60080000,0,0,0;8,36397089,60330000,60330000,0,0,0
25;L;9,10;36397089/100000000,36476347/100000000;8,36397089,60330000,60330000,0,0,0;8,36476347,60395651,60395651,0,0,80572398
25;L;10,11;36476347/100000000,2285483/6250000;8,36476347,60395651,60395651,0,0,80572398;10,3656772800,6047125534,6047125534,0,0,1552090429688
26;C;0,2;1921527/5000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
27;C;0,4;37288413/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
28;C;0,2;1921527/5000000;2,38,0,59,59,0,638;2,38,0,60,60,0,400
29;C;0,4;37288413/100000000;2,37,0,0,59,59,438;2,37,0,0,60,60,200
30;C;2,4;37288413/100000000;2,37,60,60,0,0,200;2,37,60,60,0,0,200
31;C;0,36;25101379/100000000;2,25,0,0,12,59,1375;2,25,0,0,14,66,448
32;C;0,36;25101379/100000000;2,25,0,0,12,59,1375;2,25,0,0,14,66,448
33;C;4,14;35796289/100000000;4,3579,5938,0,0,5938,1060312;2,35,61,0,0,49,878
33;C;14,19;6612687/20000000;2,33,61,0,0,49,478;2,33,62,0,0,43,907
33;C;19,25;14602369/50000000;2,29,62,0,0,43,107;2,29,64,0,0,32,680
33;C;25,36;25101379/100000000;4,2510,6308,0,0,3145,518111;2,25,66,0,0,14,448
33;C;36,38;23826163/100000000;2,23,66,0,0,14,48;2,23,66,0,0,11,123
33;C;38,39;22848219/100000000;4,2284,6583,0,0,1073,1192782;4,2284,6608,0,0,885,1231111
33;C;39,40;2780063/12500000;4,2224,6608,0,0,885,31111;8,22240504,66330000,0,0,6959300,43510000
33;L;40,41;2780063/12500000,22293293/100000000;8,22240504,66330000,0,0,6959300,43510000;8,22293293,66580000,0,0,5075640,78590400
33;L;41,42;22293293/100000000,22382189/100000000;8,22293293,66580000,0,0,5075640,78590400;8,22382189,66830000,0,0,3191979,170063559
33;L;42,43;22382189/100000000,22507191/100000000;8,22382189,66830000,0,0,3191979,170063559;8,22507191,67080000,0,0,1308319,101394239
33;L;43,44;22507191/100000000,4533329/20000000;8,22507191,67080000,0,0,1308319,101394239;8,22666645,67330000,0,0,0,100000000
33;L;44,45;4533329/20000000,11417641/50000000;8,22666645,67330000,0,0,0,100000000;8,22835282,67580000,0,0,0,0
33;L;45,46;11417641/50000000,4600909/20000000;8,22835282,67580000,0,0,0,0;8,23004545,67830000,0,0,0,100000000
33;L;46,47;4600909/20000000,23145263/100000000;8,23004545,67830000,0,0,0,100000000;8,23145263,68037141,0,0,0,44546119
34;C;0,47;2780063/12500000;2,22,0,0,12,42,2492;2,22,0,0,14,49,1803
35;C;0,47;2780063/12500000;2,22,0,0,12,55,1231;2,22,0,0,14,49,1803
36;C;36,38;23826163/100000000;2,23,14,0,0,66,48;2,23,14,0,0,64,308
36;C;38,41;2780063/12500000;2,22,14,0,0,64,108;2,22,14,0,0,59,723
36;C;41,47;22293293/100000000;2,22,14,0,0,59,723;2,22,14,0,0,49,1803
37;C;0,2;1921527/5000000;2,38,0,0,52,59,1415;2,38,0,0,53,60,1191
38;C;0,23;3797281/12500000;2,30,0,0,0,59,2519;2,30,0,0,0,63,2031
38;C;23,35;3164861/12500000;2,25,0,0,0,63,1031;2,25,0,0,0,66,644
38;C;35,41;2780063/12500000;2,22,0,0,0,66,44;4,2224,0,0,0,6658,151036
38;L;41,42;22293293/100000000,22382189/100000000;4,2229,0,0,0,6658,251036;4,2238,0,0,0,6683,97511
38;L;42,43;22382189/100000000,22507191/100000000;4,2238,0,0,0,6683,97511;4,2250,0,0,0,6708,2736
38;L;43,44;22507191/100000000,4533329/20000000;4,2250,0,0,0,6708,2736;8,22666645,0,0,0,67330000,100000000
38;L;44,45;4533329/20000000,11417641/50000000;8,22666645,0,0,0,67330000,100000000;8,22835282,0,0,0,67580000,0
38;L;45,46;11417641/50000000,4600909/20000000;8,22835282,0,0,0,67580000,0;8,23004545,0,0,0,67830000,100000000
38;L;46,47;4600909/20000000,23145263/100000000;8,23004545,0,0,0,67830000,100000000;8,23145263,0,0,0,68037141,44546119
39;C;0,2;1921527/5000000;2,38,0,0,59,54,1203;2,38,0,0,60,53,1191
40;C;0,23;3797281/12500000;2,30,0,0,59,0,2519;2,30,0,0,63,0,2031
40;C;23,35;3164861/12500000;2,25,0,0,63,0,1031;2,25,0,0,66,0,644
40;C;35,41;2780063/12500000;2,22,0,0,66,0,44;4,2224,0,0,6658,0,151036
40;L;41,42;22293293/100000000,22382189/100000000;4,2229,0,0,6658,0,251036;4,2238,0,0,6683,0,97511
40;L;42,43;22382189/100000000,22507191/100000000;4,2238,0,0,6683,0,97511;4,2250,0,0,6708,0,2736
40;L;43,44;22507191/100000000,4533329/20000000;4,2250,0,0,6708,0,2736;8,22666645,0,0,67330000,0,100000000
40;L;44,45;4533329/20000000,11417641/50000000;8,22666645,0,0,67330000,0,100000000;8,22835282,0,0,67580000,0,0
40;L;45,46;11417641/50000000,4600909/20000000;8,22835282,0,0,67580000,0,0;8,23004545,0,0,67830000,0,100000000
40;L;46,47;4600909/20000000,23145263/100000000;8,23004545,0,0,67830000,0,100000000;8,23145263,0,0,68037141,0,44546119
41;C;2,13;35796289/100000000;2,35,60,0,0,53,591;2,35,61,0,0,41,1598
41;C;13,24;14888701/50000000;2,29,61,0,0,41,398;2,29,63,0,0,22,1347
41;C;24,35;3164861/12500000;2,25,63,0,0,22,547;2,25,66,0,0,1,643
41;C;35,41;2780063/12500000;2,22,66,0,0,1,43;4,2224,6658,0,0,0,151036
41;L;41,42;22293293/100000000,22382189/100000000;4,2229,6658,0,0,0,251036;4,2238,6683,0,0,0,97511
41;L;42,43;22382189/100000000,22507191/100000000;4,2238,6683,0,0,0,97511;4,2250,6708,0,0,0,2736
41;L;43,44;22507191/100000000,4533329/20000000;4,2250,6708,0,0,0,2736;8,22666645,67330000,0,0,0,100000000
41;L;44,45;4533329/20000000,11417641/50000000;8,22666645,67330000,0,0,0,100000000;8,22835282,67580000,0,0,0,0
41;L;45,46;11417641/50000000,4600909/20000000;8,22835282,67580000,0,0,0,0;8,23004545,67830000,0,0,0,100000000
41;L;46,47;4600909/20000000,23145263/100000000;8,23004545,67830000,0,0,0,100000000;8,23145263,68037141,0,0,0,44546119
42;C;0,23;3797281/12500000;2,30,0,0,0,59,2519;2,30,0,0,0,63,2031
42;C;23,35;3164861/12500000;2,25,0,0,0,63,1031;2,25,0,0,0,66,644
42;C;35,41;2780063/12500000;2,22,0,0,0,66,44;4,2224,0,0,0,6658,151036
42;L;41,42;22293293/100000000,22382189/100000000;4,2229,0,0,0,6658,251036;4,2238,0,0,0,6683,97511
42;L;42,43;22382189/100000000,22507191/100000000;4,2238,0,0,0,6683,97511;4,2250,0,0,0,6708,2736
42;L;43,44;22507191/100000000,4533329/20000000;4,2250,0,0,0,6708,2736;8,22666645,0,0,0,67330000,100000000
42;L;44,45;4533329/20000000,11417641/50000000;8,22666645,0,0,0,67330000,100000000;8,22835282,0,0,0,67580000,0
42;L;45,46;11417641/50000000,4600909/20000000;8,22835282,0,0,0,67580000,0;8,23004545,0,0,0,67830000,100000000
42;L;46,47;4600909/20000000,23145263/100000000;8,23004545,0,0,0,67830000,100000000;8,23145263,0,0,0,68037141,44546119
43;C;0,23;3797281/12500000;2,30,0,0,59,7,2470;2,30,0,0,63,2,2027
43;C;23,35;3164861/12500000;2,25,0,0,63,2,1027;2,25,0,0,66,0,644
43;C;35,41;2780063/12500000;2,22,0,0,66,0,44;4,2224,0,0,6658,0,151036
43;L;41,42;22293293/100000000,22382189/100000000;4,2229,0,0,6658,0,251036;4,2238,0,0,6683,0,97511
43;L;42,43;22382189/100000000,22507191/100000000;4,2238,0,0,6683,0,97511;4,2250,0,0,6708,0,2736
43;L;43,44;22507191/100000000,4533329/20000000;4,2250,0,0,6708,0,2736;8,22666645,0,0,67330000,0,100000000
43;L;44,45;4533329/20000000,11417641/50000000;8,22666645,0,0,67330000,0,100000000;8,22835282,0,0,67580000,0,0
43;L;45,46;11417641/50000000,4600909/20000000;8,22835282,0,0,67580000,0,0;8,23004545,0,0,67830000,0,100000000
43;L;46,47;4600909/20000000,23145263/100000000;8,23004545,0,0,67830000,0,100000000;8,23145263,0,0,68037141,0,44546119
44;C;0,36;25101379/100000000;2,25,0,0,25,59,894;8,25101379,0,0,26983527,65514617,29983582
45;C;0,36;25101379/100000000;2,25,0,0,21,59,1078;8,25101379,0,0,26983527,65514617,29983582
46;C;11,14;2285483/6250000;10,3656772800,6047125534,0,0,6047125534,1552090429688;4,3656,6083,0,0,5809,2372630
46;C;14,15;37002889/100000000;2,37,61,0,0,59,198;2,37,61,0,0,58,315
46;L;15,16;7418771/20000000,3458477/10000000;2,37,61,0,0,58,315;4,3458,6108,0,0,5643,8887
46;L;16,17;3458477/10000000,1370609/4000000;4,3458,6108,0,0,5643,8887;10,3426522500,6117952587,0,0,5576836548,260111451127
46;L;17,18;1370609/4000000,264103/781250;10,3426522500,6117952587,0,0,5576836548,260111451127;8,33805184,61330000,0,0,54769223,111976271
46;L;18,19;264103/781250,6612687/20000000;8,33805184,61330000,0,0,54769223,111976271;10,3306343500,6158000000,0,0,5310923217,583130370911
46;L;19,20;6612687/20000000,32349867/100000000;10,3306343500,6158000000,0,0,5310923217,583130370911;10,3234986700,6183000000,0,0,5144924150,490746777500
46;L;20,21;32349867/100000000,197903/625000;10,3234986700,6183000000,0,0,5144924150,490746777500;8,31664480,62080000,0,0,49789251,84858999
46;L;21,22;197903/625000,31007273/100000000;8,31664480,62080000,0,0,49789251,84858999;10,3100727300,6233000000,0,0,4812926017,154884515711
46;L;22,23;31007273/100000000,3797281/12500000;10,3100727300,6233000000,0,0,4812926017,154884515711;8,30378248,62580000,0,0,46469270,145667100
46;L;23,24;3797281/12500000,14888701/50000000;8,30378248,62580000,0,0,46469270,145667100;8,29777402,62830000,0,0,44809279,15500159
46;L;24,25;14888701/50000000,14602369/50000000;8,29777402,62830000,0,0,44809279,15500159;8,29204738,63080000,0,0,43149289,58794479
46;L;25,26;14602369/50000000,14330127/50000000;8,29204738,63080000,0,0,43149289,58794479;8,28660254,63330000,0,0,41489298,51467196
46;L;26,27;14330127/50000000,28143951/100000000;8,28660254,63330000,0,0,41489298,51467196;8,28143951,63580000,0,0,39829307,103899751
46;L;27,28;28143951/100000000,6913957/25000000;8,28143951,63580000,0,0,39829307,103899751;10,2765582800,6383000000,0,0,3816931615,46413491775
46;L;28,29;6913957/25000000,27195887/100000000;10,2765582800,6383000000,0,0,3816931615,46413491775;8,27195887,64080000,0,0,36509326,115025724
46;L;29,30;27195887/100000000,13382063/50000000;8,27195887,64080000,0,0,36509326,115025724;8,26764126,64330000,0,0,34849335,150057775
46;L;30,31;13382063/50000000,5272109/20000000;8,26764126,64330000,0,0,34849335,150057775;10,2636054500,6458000000,0,0,3318934414,355566476604
46;L;31,32;5272109/20000000,26207869/100000000;10,2636054500,6458000000,0,0,3318934414,355566476604;10,2620786900,6467942798,0,0,3252914607,521365966747
46;L;32,33;26207869/100000000,12992573/50000000;10,2620786900,6467942798,0,0,3252914607,521365966747;8,25985146,64830000,0,0,31529354,136342684
46;L;33,34;12992573/50000000,25637927/100000000;8,25985146,64830000,0,0,31529354,136342684;8,25637927,65080000,0,0,29869363,153974231
46;L;34,35;25637927/100000000,3164861/12500000;8,25637927,65080000,0,0,29869363,153974231;10,2531888800,6533000000,0,0,2820937213,240311792631
46;L;35,36;3164861/12500000,25101379/100000000;10,2531888800,6533000000,0,0,2820937213,240311792631;8,25101379,65514617,0,0,26983527,29983582
47;C;0,47;2780063/12500000;2,22,0,0,26,42,1960;2,22,0,0,30,49,1099
48;C;0,47;2780063/12500000;2,22,0,0,21,55,934;2,22,0,0,30,49,1099
49;L;36,37;25101379/100000000,24833203/100000000;8,25101379,26983527,0,0,65514617,29983582;10,2483320300,2705510038,0,0,6507428108,853492778892
49;L;37,38;24833203/100000000,23826163/100000000;10,2483320300,2705510038,0,0,6507428108,853492778892;8,23826163,27328771,0,0,63390621,44863918
49;L;38,39;23826163/100000000,22848219/100000000;8,23826163,27328771,0,0,63390621,44863918;8,22848219,27602440,0,0,61706961,70190879
49;L;39,40;22848219/100000000,2780063/12500000;8,22848219,27602440,0,0,61706961,70190879;4,2224,2788,0,0,6003,671047
49;C;40,41;2780063/12500000;4,2224,2788,0,0,6003,671047;2,22,29,0,0,59,78
49;C;41,47;22293293/100000000;2,22,29,0,0,59,78;2,22,30,0,0,49,1099
50;C;0,2;1921527/5000000;2,38,0,0,20,59,3719;2,38,0,0,20,60,3600
51;C;0,13;35796289/100000000;2,35,0,0,10,59,3419;2,35,0,0,10,61,3179
52;C;0,2;1921527/5000000;2,38,0,0,59,21,3678;2,38,0,0,60,20,3600
53;C;0,13;35796289/100000000;2,35,0,0,10,59,3419;2,35,0,0,10,61,3179
54;C;2,32;26207869/100000000;2,26,60,0,0,20,1200;2,26,65,0,0,0,975
55;C;0,32;26207869/100000000;2,26,0,0,10,33,4011;2,26,0,0,11,37,3710
56;C;0,32;26207869/100000000;2,26,0,0,10,41,3419;2,26,0,0,11,37,3710
57;C;13,32;26207869/100000000;2,26,10,0,0,61,1379;2,26,11,0,0,37,3710
58;C;0,2;1921527/5000000;2,38,0,0,11,59,3998;2,38,0,0,11,60,3879
59;C;0,32;26207869/100000000;2,26,0,0,0,59,1719;2,26,0,0,0,65,975
60;C;0,2;1921527/5000000;2,38,0,0,59,12,3975;2,38,0,0,60,11,3879
61;C;0,32;26207869/100000000;2,26,0,0,59,0,1719;2,26,0,0,65,0,975
62;C;2,32;26207869/100000000;2,26,60,0,0,11,1479;2,26,65,0,0,0,975
63;C;0,32;26207869/100000000;2,26,0,0,0,59,1719;2,26,0,0,0,65,975
64;C;0,32;26207869/100000000;2,26,0,0,59,0,1719;2,26,0,0,65,0,975
65;C;0,2;1921527/5000000;2,38,0,0,29,59,3278;2,38,0,0,29,60,3159
66;C;0,13;35796289/100000000;2,35,0,0,19,59,3158;2,35,0,0,20,61,2879
67;C;0,2;1921527/5000000;2,38,0,0,59,29,3278;2,38,0,0,60,29,3159
68;C;0,13;35796289/100000000;2,35,0,0,18,59,3195;2,35,0,0,20,61,2879
69;C;2,13;35796289/100000000;2,35,60,0,0,29,2559;2,35,61,0,0,20,2879
70;C;0,32;26207869/100000000;2,26,0,0,21,33,3670;2,26,0,0,23,37,3302
71;C;0,32;26207869/100000000;2,26,0,0,17,41,3230;2,26,0,0,23,37,3302
72;C;13,32;26207869/100000000;2,26,20,0,0,61,1079;2,26,23,0,0,37,3302
MASS SLACK NUMERATOR 35262408535327779547320945736176135332004097511846691922643273430074385203971402919718459035659997268815503091114699
BIN 15: PATH1; (339/280,171/140]; gamma0=5897/10000; mass ceiling=12266119/12500000.
GAMMA 0=5897/10000;1=2961/5000;2=92270745000/155468144567;3=92180812500/155288279567;4=5947/10000;5=1493/2500;6=5997/10000;7=62772885000/104348353187;8=3011/5000;9=6047/10000;10=83817090000/138560834567;11=108818325000/179708044189;12=86634975000/142860927077;13=759/1250;14=6097/10000;15=23022720000/37679845501;16=3061/5000;17=41908545000/68190451967;18=6147/10000;19=1543/2500;20=6197/10000;21=3111/5000;22=6247/10000;23=392/625;24=6297/10000;25=3161/5000;26=6347/10000;27=1593/2500;28=6397/10000;29=3211/5000;30=6447/10000;31=809/1250;32=36692460000/56610277021;33=6497/10000;34=3261/5000;35=6547/10000;36=61453875000/93834404567;37=1643/2500;38=6597/10000;39=3311/5000;40=6647/10000;41=417/625;42=6697/10000;43=3361/5000;44=6747/10000;45=1693/2500;46=6797/10000;47=54499095000/79924844567;48=3411/5000;49=6847/10000;50=859/1250;51=6897/10000;52=3461/5000;53=6947/10000;54=1743/2500;55=6997/10000;56=3511/5000;57=7047/10000;58=442/625;59=7097/10000;60=3561/5000;61=7147/10000;62=1793/2500;63=7197/10000;64=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38335465,38647320;1,2,38647320,38810317;2,3,38810317,38693213;3,4,38693213,37649056;4,5,37649056,36170690;5,6,36170690,35964009;6,7,35964009,36188700;7,8,36188700,36264484;8,9,36264484,36566209;9,10,36566209,36591834;10,11,36591834,36666465;11,12,36666465,36775585;12,13,36775585,36869184;13,14,36869184,37173409;14,15,37173409,37333185;15,16,37333185,35655973;16,17,35655973,33431439;17,18,33431439,33395228;18,19,33395228,32650896;19,20,32650896,31935908;20,21,31935908,31250264;21,22,31250264,30593963;22,23,30593963,29967007;23,24,29967007,29369393;24,25,29369393,28801124;25,26,28801124,28262199;26,27,28262199,27752617;27,28,27752617,27272378;28,29,27272378,26821484;29,30,26821484,26399933;30,31,26399933,26007726;31,32,26007726,25865064;32,33,25865064,25644863;33,34,25644863,25311343;34,35,25311343,25007168;35,36,25007168,24981992;36,37,24981992,24031560;37,38,24031560,23019388;38,39,23019388,22131915;39,40,22131915,22192404;40,41,22192404,22290746;41,42,22290746,22426939;42,43,22426939,22592642;43,44,22592642,22761005;44,45,22761005,22929992;45,46,22929992,23099605;46,47,23099605,23247968;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;133648721417/37771650000,1/3,155468144567/75543300000;-664984648511599
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;349/210,5/3,233/420;-39
10;6;1;-1
11;2,3,7;121/84,4/3,233/420;-47
14;6;1;-1
15;2,3,10;121/84,4/3,233/420;-47
17;2,3,5;27/35,11/3,233/420;-25
18;1,4,8;97283016167/25181100000,4/3,155468144567/75543300000;-413173648511599
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;121/84,4/3,233/420;-47
29;1,3,9;187/210,10/3,171/140;-187
30;1,4,11;97283016167/25181100000,4/3,155468144567/75543300000;-413173648511599
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;121/84,4/3,233/420;-47
41;1,3,12;187/210,10/3,171/140;-187
42;1,4,14;133648721417/37771650000,1/3,155468144567/75543300000;-664984648511599
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;121/84,4/3,233/420;-47
56;2,3,7;121/84,4/3,233/420;-47
58;2,3,10;121/84,4/3,233/420;-47
59;2,3,13;27/35,11/3,233/420;-25
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;559/210,5/3,101/140;-47
70;6;1;-1
74;6;1;-1
77;2,3,5;62/35,4,101/140;-11
78;1,4,8;138680744567/25181100000,1/3,155468144567/75543300000;-790890148511599
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;37956344567/12590550000,14/3,155468144567/75543300000;-35457148511599
86;8;1;-1
89;1,3,9;187/210,10/3,171/140;-187
90;1,4,11;138680744567/25181100000,1/3,155468144567/75543300000;-790890148511599
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;37956344567/12590550000,14/3,155468144567/75543300000;-35457148511599
98;11;1;-1
101;1,3,12;187/210,10/3,171/140;-187
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;559/210,5/3,101/140;-47
119;2,3,13;62/35,4,101/140;-11
120;0,1,6;5/3,2,1;-1
121;1,4,6;21263873423/4721456250,5/3,155468144567/75543300000;-287268148511599
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;769/210,13/6,34/35;-47
130;6;1;-1
132;1,4,6;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
134;6;1;-1
137;2,3,5;97/35,5,34/35;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;52196256617/12590550000,11/3,155468144567/75543300000;-224315398511599
144;1,4,8;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
146;8;1;-1
149;1,3,9;187/210,10/3,171/140;-187
150;0,1,11;2/3,3,1;-2
151;1,4,11;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;52196256617/12590550000,11/3,155468144567/75543300000;-224315398511599
156;1,4,11;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
158;11;1;-1
161;1,3,12;187/210,10/3,171/140;-187
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;65339951447/15108660000,8/3,155468144567/75543300000;-245299648511599
169;14;1;-1
171;1,4,14;21263873423/4721456250,5/3,155468144567/75543300000;-287268148511599
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;769/210,13/6,34/35;-47
179;2,3,13;97/35,5,34/35;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;827652208376140,8841679456360930815825000,843060863463315,8995
4;1,4,6,3;827652208376140,11708713737116233957980000,2389372727067228,11788
5;5,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
12;1,4,6,3;827652208376140,11708713737116233957980000,2389372727067228,11788
13;5,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
16;5,4,2,3;867062787938270,4399407368519282317800000,7125868995252420,48720
19;1,4,8,3;827652208376140,11708713737116233957980000,2389372727067228,11788
22;1,4,8,3;827652208376140,7725616953379148842200000,867062787938270,22960
23;7,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
24;1,4,8,3;827652208376140,11708713737116233957980000,2389372727067228,11788
25;7,4,2,3;843060863463315,460863143425980869175000,7125868995252420,2415
28;7,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
31;1,4,11,3;827652208376140,11708713737116233957980000,2389372727067228,11788
34;1,4,11,3;827652208376140,7725616953379148842200000,867062787938270,22960
35;10,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
36;1,4,11,3;827652208376140,11708713737116233957980000,2389372727067228,11788
37;10,4,2,3;843060863463315,460863143425980869175000,7125868995252420,2415
40;10,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
44;1,4,14,3;827652208376140,11708713737116233957980000,2389372727067228,11788
48;1,4,14,3;827652208376140,11708713737116233957980000,2389372727067228,11788
50;13,4,2,3;867062787938270,4399407368519282317800000,7125868995252420,48720
51;1,4,14,3;827652208376140,8841679456360930815825000,843060863463315,8995
53;13,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
57;13,4,2,3;2389372727067228,3008334935852354086020000,7125868995252420,11676
61;1,4,6,3;827652208376140,3416383475496861631650000,2213154148632105,3290
64;1,4,6,3;827652208376140,295133387336233957980000,1020287586091368,28
65;5,4,9,3;1020287586091368,15108660000,15421711099637052,84
71;7,4,2,3;15421711099637052,926087079741978694680000,10314379822376140,3248
72;1,4,6,3;827652208376140,295133387336233957980000,1020287586091368,28
73;5,4,12,3;1020287586091368,15108660000,15421711099637052,84
75;10,4,2,3;15421711099637052,926087079741978694680000,10314379822376140,3248
76;1,4,2,3;827652208376140,28533950874450000000000000,10314379822376140,9800
79;1,4,8,3;827652208376140,295133387336233957980000,1020287586091368,28
83;7,4,2,3;1020287586091368,8047052490317968042020000,10314379822376140,11732
84;1,4,8,3;827652208376140,295133387336233957980000,1020287586091368,28
85;7,4,12,3;2213154148632105,3999715322415361673670000,15421711099637052,15666
87;10,4,2,3;15421711099637052,926087079741978694680000,10314379822376140,3248
88;7,4,2,3;1020287586091368,8047052490317968042020000,10314379822376140,11732
91;1,4,11,3;827652208376140,295133387336233957980000,1020287586091368,28
95;10,4,2,3;1020287586091368,8047052490317968042020000,10314379822376140,11732
96;1,4,11,3;827652208376140,295133387336233957980000,1020287586091368,28
97;10,4,9,3;2213154148632105,3999715322415361673670000,15421711099637052,15666
99;7,4,2,3;15421711099637052,926087079741978694680000,10314379822376140,3248
100;10,4,2,3;1020287586091368,8047052490317968042020000,10314379822376140,11732
104;1,4,14,3;827652208376140,295133387336233957980000,1020287586091368,28
108;1,4,14,3;827652208376140,295133387336233957980000,1020287586091368,28
110;1,4,2,3;827652208376140,28533950874450000000000000,10314379822376140,9800
111;1,4,14,3;827652208376140,3416383475496861631650000,2213154148632105,3290
113;13,4,9,3;1020287586091368,15108660000,15421711099637052,84
116;7,4,2,3;15421711099637052,926087079741978694680000,10314379822376140,3248
117;13,4,12,3;1020287586091368,15108660000,15421711099637052,84
118;10,4,2,3;15421711099637052,926087079741978694680000,10314379822376140,3248
125;1,4,9,3;827652208376140,2733106780397489305320000,6022513482786612,2632
131;7,4,2,3;6022513482786612,2002852803594405336840000,1158282874250705,91
133;1,4,12,3;827652208376140,2733106780397489305320000,6022513482786612,2632
135;10,4,2,3;6022513482786612,2002852803594405336840000,1158282874250705,91
136;1,4,2,3;827652208376140,7133487718612500000000000,1158282874250705,1225
143;1,4,2,3;827652208376140,7133487718612500000000000,1158282874250705,1225
145;1,4,12,3;827652208376140,2733106780397489305320000,6022513482786612,2632
147;10,4,2,3;6022513482786612,2002852803594405336840000,1158282874250705,91
148;1,4,2,3;827652208376140,7133487718612500000000000,1158282874250705,1225
155;1,4,2,3;827652208376140,7133487718612500000000000,1158282874250705,1225
157;1,4,9,3;827652208376140,2733106780397489305320000,6022513482786612,2632
159;7,4,2,3;6022513482786612,2002852803594405336840000,1158282874250705,91
160;1,4,2,3;827652208376140,7133487718612500000000000,1158282874250705,1225
170;1,4,2,3;827652208376140,7133487718612500000000000,1158282874250705,1225
173;1,4,9,3;827652208376140,2733106780397489305320000,6022513482786612,2632
176;7,4,2,3;6022513482786612,2002852803594405336840000,1158282874250705,91
177;1,4,12,3;827652208376140,2733106780397489305320000,6022513482786612,2632
178;10,4,2,3;6022513482786612,2002852803594405336840000,1158282874250705,91
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;64;V;3,1
27;64;V;6,3
28;64;E;4,1
29;64;E;4,6
30;64;E;4,3
31;65;V;9,3
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;2,3
39;76;E;4,1
40;76;E;4,2
41;76;E;4,3
42;83;V;2,3
43;83;E;4,2
44;85;V;12,3
45;85;E;4,12
46;85;E;4,3
47;87;V;2,3
48;87;E;4,2
49;87;E;4,3
50;125;V;3,1
51;125;V;9,3
52;125;E;4,1
53;125;E;4,9
54;125;E;4,3
55;131;V;2,3
56;131;E;4,2
57;131;E;4,3
58;136;V;3,1
59;136;V;2,3
60;136;E;4,1
61;136;E;4,2
62;136;E;4,3
63;143;V;2,3
64;143;E;4,2
65;145;V;3,1
66;145;V;12,3
67;145;E;4,1
68;145;E;4,12
69;145;E;4,3
70;147;V;2,3
71;147;E;4,2
72;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/2;V/6,3/1/0/15;E/4,1/2/0/2;E/4,6/3/0/15;E/4,3/4/2/15
4:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
5:V/3,5/6/0/11;V/2,3/10/0/17;E/4,5/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
12:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
13:V/3,5/6/0/11;V/2,3/10/0/17;E/4,5/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
16:V/3,5/13/0/7;V/2,3/14/0/17;E/4,5/15/0/7;E/4,2/16/0/17;E/4,3/17/7/17
19:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
22:V/3,1/5/0/2;V/8,3/13/0/7;E/4,1/7/0/2;E/4,8/15/0/7;E/4,3/9/2/7
23:V/3,7/6/0/11;V/2,3/10/0/17;E/4,7/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
24:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
25:V/3,7/1/0/15;V/2,3/18/0/17;E/4,7/3/0/15;E/4,2/19/0/17;E/4,3/20/15/17
28:V/3,7/6/0/11;V/2,3/10/0/17;E/4,7/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
31:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
34:V/3,1/5/0/2;V/11,3/13/0/7;E/4,1/7/0/2;E/4,11/15/0/7;E/4,3/9/2/7
35:V/3,10/6/0/11;V/2,3/10/0/17;E/4,10/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
36:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
37:V/3,10/1/0/15;V/2,3/18/0/17;E/4,10/3/0/15;E/4,2/19/0/17;E/4,3/20/15/17
40:V/3,10/6/0/11;V/2,3/10/0/17;E/4,10/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
44:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
48:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
50:V/3,13/13/0/7;V/2,3/14/0/17;E/4,13/15/0/7;E/4,2/16/0/17;E/4,3/17/7/17
51:V/3,1/0/0/2;V/14,3/1/0/15;E/4,1/2/0/2;E/4,14/3/0/15;E/4,3/4/2/15
53:V/3,13/6/0/11;V/2,3/10/0/17;E/4,13/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
57:V/3,13/6/0/11;V/2,3/10/0/17;E/4,13/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
61:V/3,1/21/0/2;V/6,3/22/0/10;E/4,1/23/0/2;E/4,6/24/0/10;E/4,3/25/2/10
64:V/3,1/26/0/2;V/6,3/27/0/3;E/4,1/28/0/2;E/4,6/29/0/3;E/4,3/30/2/3
65:V/3,5/27/0/3;V/9,3/31/0/36;E/4,5/29/0/3;E/4,9/32/0/36;E/4,3/33/3/36
71:V/3,7/31/0/36;V/2,3/34/0/47;E/4,7/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
72:V/3,1/26/0/2;V/6,3/27/0/3;E/4,1/28/0/2;E/4,6/29/0/3;E/4,3/30/2/3
73:V/3,5/27/0/3;V/12,3/31/0/36;E/4,5/29/0/3;E/4,12/32/0/36;E/4,3/33/3/36
75:V/3,10/31/0/36;V/2,3/34/0/47;E/4,10/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
76:V/3,1/37/0/2;V/2,3/38/0/47;E/4,1/39/0/2;E/4,2/40/0/47;E/4,3/41/2/47
79:V/3,1/21/0/2;V/8,3/27/0/3;E/4,1/23/0/2;E/4,8/29/0/3;E/4,3/25/2/3
83:V/3,7/27/0/3;V/2,3/42/0/47;E/4,7/29/0/3;E/4,2/43/0/47;E/4,3/33/3/47
84:V/3,1/21/0/2;V/8,3/27/0/3;E/4,1/23/0/2;E/4,8/29/0/3;E/4,3/25/2/3
85:V/3,7/22/0/10;V/12,3/44/0/36;E/4,7/24/0/10;E/4,12/45/0/36;E/4,3/46/10/36
87:V/3,10/44/0/36;V/2,3/47/0/47;E/4,10/45/0/36;E/4,2/48/0/47;E/4,3/49/36/47
88:V/3,7/27/0/3;V/2,3/42/0/47;E/4,7/29/0/3;E/4,2/43/0/47;E/4,3/33/3/47
91:V/3,1/21/0/2;V/11,3/27/0/3;E/4,1/23/0/2;E/4,11/29/0/3;E/4,3/25/2/3
95:V/3,10/27/0/3;V/2,3/42/0/47;E/4,10/29/0/3;E/4,2/43/0/47;E/4,3/33/3/47
96:V/3,1/21/0/2;V/11,3/27/0/3;E/4,1/23/0/2;E/4,11/29/0/3;E/4,3/25/2/3
97:V/3,10/22/0/10;V/9,3/44/0/36;E/4,10/24/0/10;E/4,9/45/0/36;E/4,3/46/10/36
99:V/3,7/44/0/36;V/2,3/47/0/47;E/4,7/45/0/36;E/4,2/48/0/47;E/4,3/49/36/47
100:V/3,10/27/0/3;V/2,3/42/0/47;E/4,10/29/0/3;E/4,2/43/0/47;E/4,3/33/3/47
104:V/3,1/26/0/2;V/14,3/27/0/3;E/4,1/28/0/2;E/4,14/29/0/3;E/4,3/30/2/3
108:V/3,1/26/0/2;V/14,3/27/0/3;E/4,1/28/0/2;E/4,14/29/0/3;E/4,3/30/2/3
110:V/3,1/37/0/2;V/2,3/38/0/47;E/4,1/39/0/2;E/4,2/40/0/47;E/4,3/41/2/47
111:V/3,1/21/0/2;V/14,3/22/0/10;E/4,1/23/0/2;E/4,14/24/0/10;E/4,3/25/2/10
113:V/3,13/27/0/3;V/9,3/31/0/36;E/4,13/29/0/3;E/4,9/32/0/36;E/4,3/33/3/36
116:V/3,7/31/0/36;V/2,3/34/0/47;E/4,7/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
117:V/3,13/27/0/3;V/12,3/31/0/36;E/4,13/29/0/3;E/4,12/32/0/36;E/4,3/33/3/36
118:V/3,10/31/0/36;V/2,3/34/0/47;E/4,10/32/0/36;E/4,2/35/0/47;E/4,3/36/36/47
125:V/3,1/50/0/2;V/9,3/51/0/12;E/4,1/52/0/2;E/4,9/53/0/12;E/4,3/54/2/12
131:V/3,7/51/0/12;V/2,3/55/0/32;E/4,7/53/0/12;E/4,2/56/0/32;E/4,3/57/12/32
133:V/3,1/50/0/2;V/12,3/51/0/12;E/4,1/52/0/2;E/4,12/53/0/12;E/4,3/54/2/12
135:V/3,10/51/0/12;V/2,3/55/0/32;E/4,10/53/0/12;E/4,2/56/0/32;E/4,3/57/12/32
136:V/3,1/58/0/2;V/2,3/59/0/32;E/4,1/60/0/2;E/4,2/61/0/32;E/4,3/62/2/32
143:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
145:V/3,1/65/0/2;V/12,3/66/0/12;E/4,1/67/0/2;E/4,12/68/0/12;E/4,3/69/2/12
147:V/3,10/66/0/12;V/2,3/70/0/32;E/4,10/68/0/12;E/4,2/71/0/32;E/4,3/72/12/32
148:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
155:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
157:V/3,1/65/0/2;V/9,3/66/0/12;E/4,1/67/0/2;E/4,9/68/0/12;E/4,3/69/2/12
159:V/3,7/66/0/12;V/2,3/70/0/32;E/4,7/68/0/12;E/4,2/71/0/32;E/4,3/72/12/32
160:V/3,1/50/0/2;V/2,3/63/0/32;E/4,1/52/0/2;E/4,2/64/0/32;E/4,3/54/2/32
170:V/3,1/58/0/2;V/2,3/59/0/32;E/4,1/60/0/2;E/4,2/61/0/32;E/4,3/62/2/32
173:V/3,1/50/0/2;V/9,3/51/0/12;E/4,1/52/0/2;E/4,9/53/0/12;E/4,3/54/2/12
176:V/3,7/51/0/12;V/2,3/55/0/32;E/4,7/53/0/12;E/4,2/56/0/32;E/4,3/57/12/32
177:V/3,1/50/0/2;V/12,3/51/0/12;E/4,1/52/0/2;E/4,12/53/0/12;E/4,3/54/2/12
178:V/3,10/51/0/12;V/2,3/55/0/32;E/4,10/53/0/12;E/4,2/56/0/32;E/4,3/57/12/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;7667093/20000000,966183/2500000;4,3833,0,2661,5897,5897,29861;6,386473,0,267211,592200,592200,142601479
0;L;1,2;966183/2500000,38810317/100000000;6,386473,0,267211,592200,592200,142601479;10,3881031700,0,2677978622,5935025806,5935025806,1864339081844
1;C;0,3;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
1;C;3,5;3617069/10000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
1;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
1;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
1;L;7,8;361887/1000000,9066121/25000000;10,3618870000,0,0,6015704425,6015704425,542070838750;8,36264484,0,0,60220000,60220000,0
1;L;8,9;9066121/25000000,36566209/100000000;8,36264484,0,0,60220000,60220000,0;8,36566209,0,0,60470000,60470000,0
1;L;9,10;36566209/100000000,18295917/50000000;8,36566209,0,0,60470000,60470000,0;10,3659183400,0,0,6049118445,6049118445,76721563950
1;L;10,11;18295917/50000000,7333293/20000000;10,3659183400,0,0,6049118445,6049118445,76721563950;10,3666646500,0,0,6055284030,6055284030,632053918200
1;L;11,12;7333293/20000000,7355117/20000000;10,3666646500,0,0,6055284030,6055284030,632053918200;10,3677558500,0,0,6064287610,6064287610,1566400975800
1;L;12,13;7355117/20000000,576081/1562500;10,3677558500,0,0,6064287610,6064287610,1566400975800;8,36869184,0,0,60720000,60720000,0
1;L;13,14;576081/1562500,37173409/100000000;8,36869184,0,0,60720000,60720000,0;8,37173409,0,0,60970000,60970000,0
1;L;14,15;37173409/100000000,7466637/20000000;8,37173409,0,0,60970000,60970000,0;10,3733318500,0,0,6110088748,6110088748,983127584992
2;L;0,1;7667093/20000000,966183/2500000;8,38335465,0,58970000,58970000,26686533,156439911;8,38647320,0,59220000,59220000,26747842,148343036
2;L;1,2;966183/2500000,38810317/100000000;8,38647320,0,59220000,59220000,26747842,148343036;10,3881031700,0,5935025806,5935025806,2677978622,1864339081844
3;C;0,3;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
3;C;3,5;3617069/10000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
3;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
3;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
3;L;7,8;361887/1000000,9066121/25000000;10,3618870000,0,0,6015704425,6015704425,542070838750;8,36264484,0,0,60220000,60220000,0
3;L;8,9;9066121/25000000,36566209/100000000;8,36264484,0,0,60220000,60220000,0;8,36566209,0,0,60470000,60470000,0
3;L;9,10;36566209/100000000,18295917/50000000;8,36566209,0,0,60470000,60470000,0;10,3659183400,0,0,6049118445,6049118445,76721563950
3;L;10,11;18295917/50000000,7333293/20000000;10,3659183400,0,0,6049118445,6049118445,76721563950;10,3666646500,0,0,6055284030,6055284030,632053918200
3;L;11,12;7333293/20000000,7355117/20000000;10,3666646500,0,0,6055284030,6055284030,632053918200;10,3677558500,0,0,6064287610,6064287610,1566400975800
3;L;12,13;7355117/20000000,576081/1562500;10,3677558500,0,0,6064287610,6064287610,1566400975800;8,36869184,0,0,60720000,60720000,0
3;L;13,14;576081/1562500,37173409/100000000;8,36869184,0,0,60720000,60720000,0;8,37173409,0,0,60970000,60970000,0
3;L;14,15;37173409/100000000,7466637/20000000;8,37173409,0,0,60970000,60970000,0;10,3733318500,0,0,6110088748,6110088748,983127584992
4;L;2,3;38810317/100000000,38693213/100000000;10,3881031700,5935025806,5935025806,0,2677978622,1864339081844;10,3869321300,5936108814,5936108814,0,2629001569,1046898565047
4;L;3,4;38693213/100000000,1176533/3125000;10,3869321300,5936108814,5936108814,0,2629001569,1046898565047;8,37649056,59470000,59470000,0,21364676,19415024
4;L;4,5;1176533/3125000,3617069/10000000;8,37649056,59470000,59470000,0,21364676,19415024;8,36170690,59720000,59720000,0,10058882,92910076
4;L;5,6;3617069/10000000,35964009/100000000;8,36170690,59720000,59720000,0,10058882,92910076;8,35964009,59970000,59970000,0,0,0
4;L;6,7;35964009/100000000,361887/1000000;8,35964009,59970000,59970000,0,0,0;10,3618870000,6015704425,6015704425,0,0,542070838750
4;L;7,8;361887/1000000,9066121/25000000;10,3618870000,6015704425,6015704425,0,0,542070838750;8,36264484,60220000,60220000,0,0,0
4;L;8,9;9066121/25000000,36566209/100000000;8,36264484,60220000,60220000,0,0,0;8,36566209,60470000,60470000,0,0,0
4;L;9,10;36566209/100000000,18295917/50000000;8,36566209,60470000,60470000,0,0,0;10,3659183400,6049118445,6049118445,0,0,76721563950
4;L;10,11;18295917/50000000,7333293/20000000;10,3659183400,6049118445,6049118445,0,0,76721563950;10,3666646500,6055284030,6055284030,0,0,632053918200
4;L;11,12;7333293/20000000,7355117/20000000;10,3666646500,6055284030,6055284030,0,0,632053918200;10,3677558500,6064287610,6064287610,0,0,1566400975800
4;L;12,13;7355117/20000000,576081/1562500;10,3677558500,6064287610,6064287610,0,0,1566400975800;8,36869184,60720000,60720000,0,0,0
4;L;13,14;576081/1562500,37173409/100000000;8,36869184,60720000,60720000,0,0,0;8,37173409,60970000,60970000,0,0,0
4;L;14,15;37173409/100000000,7466637/20000000;8,37173409,60970000,60970000,0,0,0;10,3733318500,6110088748,6110088748,0,0,983127584992
5;C;0,2;7667093/20000000;2,38,0,19,59,59,277;2,38,0,19,60,60,39
6;C;0,5;3617069/10000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
6;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
6;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
6;L;7,8;361887/1000000,9066121/25000000;10,3618870000,0,0,6015704425,6015704425,542070838750;8,36264484,0,0,60220000,60220000,0
6;L;8,9;9066121/25000000,36566209/100000000;8,36264484,0,0,60220000,60220000,0;8,36566209,0,0,60470000,60470000,0
6;L;9,10;36566209/100000000,18295917/50000000;8,36566209,0,0,60470000,60470000,0;10,3659183400,0,0,6049118445,6049118445,76721563950
6;L;10,11;18295917/50000000,7333293/20000000;10,3659183400,0,0,6049118445,6049118445,76721563950;10,3666646500,0,0,6055284030,6055284030,632053918200
7;C;0,2;7667093/20000000;2,38,0,59,59,19,277;2,38,0,60,60,19,39
8;C;0,5;3617069/10000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
8;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
8;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
8;L;7,8;361887/1000000,9066121/25000000;10,3618870000,0,0,6015704425,6015704425,542070838750;8,36264484,0,0,60220000,60220000,0
8;L;8,9;9066121/25000000,36566209/100000000;8,36264484,0,0,60220000,60220000,0;8,36566209,0,0,60470000,60470000,0
8;L;9,10;36566209/100000000,18295917/50000000;8,36566209,0,0,60470000,60470000,0;10,3659183400,0,0,6049118445,6049118445,76721563950
8;L;10,11;18295917/50000000,7333293/20000000;10,3659183400,0,0,6049118445,6049118445,76721563950;10,3666646500,0,0,6055284030,6055284030,632053918200
9;C;2,4;1176533/3125000;4,3764,5936,5936,0,1866,1325852;2,37,60,60,0,13,31
9;C;4,5;3617069/10000000;4,3617,5947,5947,0,1266,3626;4,3617,5972,5972,0,12,1010288
9;C;5,6;35964009/100000000;4,3596,5972,5972,0,12,590288;8,35964009,59970000,59970000,0,0,0
9;L;6,7;35964009/100000000,361887/1000000;8,35964009,59970000,59970000,0,0,0;10,3618870000,6015704425,6015704425,0,0,542070838750
9;L;7,8;361887/1000000,9066121/25000000;10,3618870000,6015704425,6015704425,0,0,542070838750;8,36264484,60220000,60220000,0,0,0
9;L;8,9;9066121/25000000,36566209/100000000;8,36264484,60220000,60220000,0,0,0;8,36566209,60470000,60470000,0,0,0
9;L;9,10;36566209/100000000,18295917/50000000;8,36566209,60470000,60470000,0,0,0;10,3659183400,6049118445,6049118445,0,0,76721563950
9;L;10,11;18295917/50000000,7333293/20000000;10,3659183400,6049118445,6049118445,0,0,76721563950;10,3666646500,6055284030,6055284030,0,0,632053918200
10;C;0,17;33431439/100000000;2,33,0,0,33,59,2030;2,33,0,0,34,62,1600
11;C;0,17;33431439/100000000;2,33,0,0,59,37,1750;2,33,0,0,62,34,1600
12;C;11,14;7333293/20000000;10,3666646500,6055284030,0,0,6055284030,632053918200;2,36,61,0,0,49,1078
12;C;14,17;33431439/100000000;2,33,61,0,0,49,478;2,33,62,0,0,34,1600
13;C;0,3;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
13;C;3,5;3617069/10000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
13;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
13;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
14;C;0,17;33431439/100000000;2,33,0,0,15,59,2894;2,33,0,0,16,62,2500
15;C;0,3;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
15;C;3,5;3617069/10000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
15;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
15;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
16;C;0,17;33431439/100000000;2,33,0,0,59,21,2678;2,33,0,0,62,16,2500
17;C;7,12;361887/1000000;10,3618870000,6015704425,0,0,6015704425,542070838750;2,36,61,0,0,44,1543
17;C;12,17;33431439/100000000;2,33,61,0,0,44,943;2,33,62,0,0,16,2500
18;C;0,17;33431439/100000000;2,33,0,0,51,59,518;4,3343,0,0,5231,6146,1723323
19;C;0,17;33431439/100000000;2,33,0,0,59,54,203;4,3343,0,0,6146,5231,1723323
20;L;15,16;7466637/20000000,35655973/100000000;10,3733318500,6110088748,0,0,6110088748,983127584992;8,35655973,61220000,0,0,58166194,75554364
20;L;16,17;35655973/100000000,33431439/100000000;8,35655973,61220000,0,0,58166194,75554364;4,3343,6146,0,0,5231,1723323
21;C;0,2;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
22;C;0,5;3617069/10000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
22;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
22;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
22;L;7,8;361887/1000000,9066121/25000000;10,3618870000,0,0,6015704425,6015704425,542070838750;8,36264484,0,0,60220000,60220000,0
22;L;8,9;9066121/25000000,36566209/100000000;8,36264484,0,0,60220000,60220000,0;8,36566209,0,0,60470000,60470000,0
22;L;9,10;36566209/100000000,18295917/50000000;8,36566209,0,0,60470000,60470000,0;10,3659183400,0,0,6049118445,6049118445,76721563950
23;C;0,2;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
24;C;0,5;3617069/10000000;2,36,0,0,59,59,238;2,36,0,0,60,60,0
24;C;5,6;35964009/100000000;4,3596,0,0,5972,5972,590432;8,35964009,0,0,59970000,59970000,0
24;L;6,7;35964009/100000000,361887/1000000;8,35964009,0,0,59970000,59970000,0;10,3618870000,0,0,6015704425,6015704425,542070838750
24;L;7,8;361887/1000000,9066121/25000000;10,3618870000,0,0,6015704425,6015704425,542070838750;8,36264484,0,0,60220000,60220000,0
24;L;8,9;9066121/25000000,36566209/100000000;8,36264484,0,0,60220000,60220000,0;8,36566209,0,0,60470000,60470000,0
24;L;9,10;36566209/100000000,18295917/50000000;8,36566209,0,0,60470000,60470000,0;10,3659183400,0,0,6049118445,6049118445,76721563950
25;C;2,6;35964009/100000000;4,3596,5936,5936,0,0,1447808;8,35964009,59970000,59970000,0,0,0
25;L;6,7;35964009/100000000,361887/1000000;8,35964009,59970000,59970000,0,0,0;10,3618870000,6015704425,6015704425,0,0,542070838750
25;L;7,8;361887/1000000,9066121/25000000;10,3618870000,6015704425,6015704425,0,0,542070838750;8,36264484,60220000,60220000,0,0,0
25;L;8,9;9066121/25000000,36566209/100000000;8,36264484,60220000,60220000,0,0,0;8,36566209,60470000,60470000,0,0,0
25;L;9,10;36566209/100000000,18295917/50000000;8,36566209,60470000,60470000,0,0,0;10,3659183400,6049118445,6049118445,0,0,76721563950
26;C;0,2;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
27;C;0,3;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
28;C;0,2;7667093/20000000;2,38,0,59,59,0,638;2,38,0,60,60,0,400
29;C;0,3;7667093/20000000;2,38,0,0,59,59,638;2,38,0,0,60,60,400
30;C;2,3;38693213/100000000;2,38,60,60,0,0,400;2,38,60,60,0,0,400
31;C;0,36;3122749/12500000;2,24,0,0,11,59,1198;2,24,0,0,13,66,275
32;C;0,36;3122749/12500000;2,24,0,0,11,59,1198;2,24,0,0,13,66,275
33;C;3,14;35964009/100000000;4,3596,5937,0,0,5937,1424062;2,35,61,0,0,47,1070
33;C;14,19;2040681/6250000;2,32,61,0,0,47,470;2,32,62,0,0,42,792
33;C;19,25;7200281/25000000;4,2880,6172,0,0,4116,2564960;2,28,64,0,0,30,604
33;C;25,36;3122749/12500000;4,2498,6322,0,0,2958,1242552;2,24,66,0,0,13,275
33;C;36,38;5754847/25000000;2,23,66,0,0,13,75;2,23,66,0,0,9,163
33;C;38,39;4426383/20000000;4,2213,6597,0,0,836,40695;8,22131915,66220000,0,0,6426076,147242224
33;L;39,40;4426383/20000000,5548101/25000000;8,22131915,66220000,0,0,6426076,147242224;8,22192404,66470000,0,0,4496651,29784199
33;L;40,41;5548101/25000000,11145373/50000000;8,22192404,66470000,0,0,4496651,29784199;8,22290746,66720000,0,0,2567226,150664924
33;L;41,42;11145373/50000000,22426939/100000000;8,22290746,66720000,0,0,2567226,150664924;8,22426939,66970000,0,0,637802,108608796
33;L;42,43;22426939/100000000,11296321/50000000;8,22426939,66970000,0,0,637802,108608796;8,22592642,67220000,0,0,0,0
33;L;43,44;11296321/50000000,4552201/20000000;8,22592642,67220000,0,0,0,0;8,22761005,67470000,0,0,0,100000000
33;L;44,45;4552201/20000000,2866249/12500000;8,22761005,67470000,0,0,0,100000000;8,22929992,67720000,0,0,0,0
33;L;45,46;2866249/12500000,4619921/20000000;8,22929992,67720000,0,0,0,0;8,23099605,67970000,0,0,0,100000000
33;L;46,47;4619921/20000000,726499/3125000;8,23099605,67970000,0,0,0,100000000;8,23247968,68187928,0,0,0,75066816
34;C;0,47;4426383/20000000;2,22,0,0,11,41,2598;2,22,0,0,13,47,2022
35;C;0,47;4426383/20000000;2,22,0,0,11,53,1470;2,22,0,0,13,47,2022
36;C;36,38;5754847/25000000;2,23,13,0,0,66,75;2,23,13,0,0,63,462
36;C;38,41;4426383/20000000;2,22,13,0,0,63,262;2,22,13,0,0,58,867
36;C;41,47;11145373/50000000;2,22,13,0,0,58,867;2,22,13,0,0,47,2022
37;C;0,2;7667093/20000000;2,38,0,0,51,59,1518;2,38,0,0,51,60,1399
38;C;0,23;29967007/100000000;2,29,0,0,0,59,2319;2,29,0,0,0,63,1831
38;C;23,35;390737/1562500;2,25,0,0,0,63,1031;2,25,0,0,0,66,644
38;C;35,38;5754847/25000000;2,23,0,0,0,66,244;2,23,0,0,0,66,244
38;C;38,39;4426383/20000000;2,22,0,0,0,66,44;4,2213,0,0,0,6622,409116
38;C;39,40;4426383/20000000;4,2213,0,0,0,6622,409116;4,2213,0,0,0,6647,77391
38;L;40,41;5548101/25000000,11145373/50000000;4,2219,0,0,0,6647,197391;4,2229,0,0,0,6672,64416
38;L;41,42;11145373/50000000,22426939/100000000;4,2229,0,0,0,6672,64416;6,224269,0,0,0,669700,39910000
38;L;42,43;22426939/100000000,11296321/50000000;6,224269,0,0,0,669700,39910000;8,22592642,0,0,0,67220000,0
38;L;43,44;11296321/50000000,4552201/20000000;8,22592642,0,0,0,67220000,0;8,22761005,0,0,0,67470000,100000000
38;L;44,45;4552201/20000000,2866249/12500000;8,22761005,0,0,0,67470000,100000000;8,22929992,0,0,0,67720000,0
38;L;45,46;2866249/12500000,4619921/20000000;8,22929992,0,0,0,67720000,0;8,23099605,0,0,0,67970000,100000000
38;L;46,47;4619921/20000000,726499/3125000;8,23099605,0,0,0,67970000,100000000;8,23247968,0,0,0,68187928,75066816
39;C;0,2;7667093/20000000;2,38,0,0,59,52,1415;2,38,0,0,60,51,1399
40;C;0,23;29967007/100000000;2,29,0,0,59,0,2319;2,29,0,0,63,0,1831
40;C;23,35;390737/1562500;2,25,0,0,63,0,1031;2,25,0,0,66,0,644
40;C;35,38;5754847/25000000;2,23,0,0,66,0,244;2,23,0,0,66,0,244
40;C;38,39;4426383/20000000;2,22,0,0,66,0,44;4,2213,0,0,6622,0,409116
40;C;39,40;4426383/20000000;4,2213,0,0,6622,0,409116;4,2213,0,0,6647,0,77391
40;L;40,41;5548101/25000000,11145373/50000000;4,2219,0,0,6647,0,197391;4,2229,0,0,6672,0,64416
40;L;41,42;11145373/50000000,22426939/100000000;4,2229,0,0,6672,0,64416;6,224269,0,0,669700,0,39910000
40;L;42,43;22426939/100000000,11296321/50000000;6,224269,0,0,669700,0,39910000;8,22592642,0,0,67220000,0,0
40;L;43,44;11296321/50000000,4552201/20000000;8,22592642,0,0,67220000,0,0;8,22761005,0,0,67470000,0,100000000
40;L;44,45;4552201/20000000,2866249/12500000;8,22761005,0,0,67470000,0,100000000;8,22929992,0,0,67720000,0,0
40;L;45,46;2866249/12500000,4619921/20000000;8,22929992,0,0,67720000,0,0;8,23099605,0,0,67970000,0,100000000
40;L;46,47;4619921/20000000,726499/3125000;8,23099605,0,0,67970000,0,100000000;8,23247968,0,0,68187928,0,75066816
41;C;2,13;35964009/100000000;2,35,60,0,0,51,799;2,35,61,0,0,39,1758
41;C;13,24;29369393/100000000;2,29,61,0,0,39,558;2,29,63,0,0,20,1431
41;C;24,35;390737/1562500;2,25,63,0,0,20,631;2,25,66,0,0,0,644
41;C;35,38;5754847/25000000;2,23,66,0,0,0,244;2,23,66,0,0,0,244
41;C;38,39;4426383/20000000;2,22,66,0,0,0,44;4,2213,6622,0,0,0,409116
41;C;39,40;4426383/20000000;4,2213,6622,0,0,0,409116;4,2213,6647,0,0,0,77391
41;L;40,41;5548101/25000000,11145373/50000000;4,2219,6647,0,0,0,197391;4,2229,6672,0,0,0,64416
41;L;41,42;11145373/50000000,22426939/100000000;4,2229,6672,0,0,0,64416;6,224269,669700,0,0,0,39910000
41;L;42,43;22426939/100000000,11296321/50000000;6,224269,669700,0,0,0,39910000;8,22592642,67220000,0,0,0,0
41;L;43,44;11296321/50000000,4552201/20000000;8,22592642,67220000,0,0,0,0;8,22761005,67470000,0,0,0,100000000
41;L;44,45;4552201/20000000,2866249/12500000;8,22761005,67470000,0,0,0,100000000;8,22929992,67720000,0,0,0,0
41;L;45,46;2866249/12500000,4619921/20000000;8,22929992,67720000,0,0,0,0;8,23099605,67970000,0,0,0,100000000
41;L;46,47;4619921/20000000,726499/3125000;8,23099605,67970000,0,0,0,100000000;8,23247968,68187928,0,0,0,75066816
42;C;0,23;29967007/100000000;2,29,0,0,0,59,2319;2,29,0,0,0,63,1831
42;C;23,35;390737/1562500;2,25,0,0,0,63,1031;2,25,0,0,0,66,644
42;C;35,38;5754847/25000000;2,23,0,0,0,66,244;2,23,0,0,0,66,244
42;C;38,39;4426383/20000000;2,22,0,0,0,66,44;4,2213,0,0,0,6622,409116
42;C;39,40;4426383/20000000;4,2213,0,0,0,6622,409116;4,2213,0,0,0,6647,77391
42;L;40,41;5548101/25000000,11145373/50000000;4,2219,0,0,0,6647,197391;4,2229,0,0,0,6672,64416
42;L;41,42;11145373/50000000,22426939/100000000;4,2229,0,0,0,6672,64416;6,224269,0,0,0,669700,39910000
42;L;42,43;22426939/100000000,11296321/50000000;6,224269,0,0,0,669700,39910000;8,22592642,0,0,0,67220000,0
42;L;43,44;11296321/50000000,4552201/20000000;8,22592642,0,0,0,67220000,0;8,22761005,0,0,0,67470000,100000000
42;L;44,45;4552201/20000000,2866249/12500000;8,22761005,0,0,0,67470000,100000000;8,22929992,0,0,0,67720000,0
42;L;45,46;2866249/12500000,4619921/20000000;8,22929992,0,0,0,67720000,0;8,23099605,0,0,0,67970000,100000000
42;L;46,47;4619921/20000000,726499/3125000;8,23099605,0,0,0,67970000,100000000;8,23247968,0,0,0,68187928,75066816
43;C;0,23;29967007/100000000;2,29,0,0,59,5,2294;2,29,0,0,63,0,1831
43;C;23,35;390737/1562500;2,25,0,0,63,0,1031;2,25,0,0,66,0,644
43;C;35,38;5754847/25000000;2,23,0,0,66,0,244;2,23,0,0,66,0,244
43;C;38,39;4426383/20000000;2,22,0,0,66,0,44;4,2213,0,0,6622,0,409116
43;C;39,40;4426383/20000000;4,2213,0,0,6622,0,409116;4,2213,0,0,6647,0,77391
43;L;40,41;5548101/25000000,11145373/50000000;4,2219,0,0,6647,0,197391;4,2229,0,0,6672,0,64416
43;L;41,42;11145373/50000000,22426939/100000000;4,2229,0,0,6672,0,64416;6,224269,0,0,669700,0,39910000
43;L;42,43;22426939/100000000,11296321/50000000;6,224269,0,0,669700,0,39910000;8,22592642,0,0,67220000,0,0
43;L;43,44;11296321/50000000,4552201/20000000;8,22592642,0,0,67220000,0,0;8,22761005,0,0,67470000,0,100000000
43;L;44,45;4552201/20000000,2866249/12500000;8,22761005,0,0,67470000,0,100000000;8,22929992,0,0,67720000,0,0
43;L;45,46;2866249/12500000,4619921/20000000;8,22929992,0,0,67720000,0,0;8,23099605,0,0,67970000,0,100000000
43;L;46,47;4619921/20000000,726499/3125000;8,23099605,0,0,67970000,0,100000000;8,23247968,0,0,68187928,0,75066816
44;C;0,36;3122749/12500000;2,24,0,0,24,59,743;10,2498199200,0,0,2659356501,6549183670,257194368099
45;C;0,36;3122749/12500000;2,24,0,0,21,59,878;10,2498199200,0,0,2659356501,6549183670,257194368099
46;C;10,13;18295917/50000000;10,3659183400,6049118445,0,0,6049118445,76721563950;4,3659,6072,0,0,5895,1559791
46;C;13,14;576081/1562500;4,3686,6072,0,0,5895,2099791;2,36,61,0,0,58,115
46;C;14,16;35655973/100000000;4,3565,6097,0,0,5725,1350966;2,35,62,0,0,56,20
46;L;16,17;35655973/100000000,33431439/100000000;2,35,62,0,0,56,20;10,3343143900,6145808364,0,0,5393692327,634648968575
46;L;17,18;33431439/100000000,8348807/25000000;10,3343143900,6145808364,0,0,5393692327,634648968575;8,33395228,61470000,0,0,53856147,130314391
46;L;18,19;8348807/25000000,2040681/6250000;8,33395228,61470000,0,0,53856147,130314391;8,32650896,61720000,0,0,52161487,73948831
46;L;19,20;2040681/6250000,7983977/25000000;8,32650896,61720000,0,0,52161487,73948831;8,31935908,61970000,0,0,50466827,72552071
46;L;20,21;7983977/25000000,3906283/12500000;8,31935908,61970000,0,0,50466827,72552071;8,31250264,62220000,0,0,48772167,126124111
46;L;21,22;3906283/12500000,30593963/100000000;8,31250264,62220000,0,0,48772167,126124111;8,30593963,62470000,0,0,47077507,34664951
46;L;22,23;30593963/100000000,29967007/100000000;8,30593963,62470000,0,0,47077507,34664951;8,29967007,62720000,0,0,45382848,107408896
46;L;23,24;29967007/100000000,29369393/100000000;8,29967007,62720000,0,0,45382848,107408896;10,2936939300,6297000000,0,0,4368818710,79153935900
46;L;24,25;29369393/100000000,7200281/25000000;10,2936939300,6297000000,0,0,4368818710,79153935900;8,28801124,63220000,0,0,41993528,6113216
46;L;25,26;7200281/25000000,28262199/100000000;8,28801124,63220000,0,0,41993528,6113216;8,28262199,63470000,0,0,40298868,137918576
46;L;26,27;28262199/100000000,27752617/100000000;8,28262199,63470000,0,0,40298868,137918576;8,27752617,63720000,0,0,38604208,124692736
46;L;27,28;27752617/100000000,13636189/50000000;8,27752617,63720000,0,0,38604208,124692736;10,2727237800,6397000000,0,0,3690954749,40834346999
46;L;28,29;13636189/50000000,6705371/25000000;10,2727237800,6397000000,0,0,3690954749,40834346999;8,26821484,64220000,0,0,35214888,63147456
46;L;29,30;6705371/25000000,26399933/100000000;8,26821484,64220000,0,0,35214888,63147456;8,26399933,64470000,0,0,33520228,14828016
46;L;30,31;26399933/100000000,13003863/50000000;8,26399933,64470000,0,0,33520228,14828016;8,26007726,64720000,0,0,31825568,21477376
46;L;31,32;13003863/50000000,3233133/12500000;8,26007726,64720000,0,0,31825568,21477376;10,2586506400,6481589904,0,0,3117550275,599212695159
46;L;32,33;3233133/12500000,25644863/100000000;10,2586506400,6481589904,0,0,3117550275,599212695159;8,25644863,64970000,0,0,30130908,83095536
46;L;33,34;25644863/100000000,25311343/100000000;8,25644863,64970000,0,0,30130908,83095536;10,2531134300,6522000000,0,0,2843624798,8199459196
46;L;34,35;25311343/100000000,390737/1562500;10,2531134300,6522000000,0,0,2843624798,8199459196;8,25007168,65470000,0,0,26741589,117755079
46;L;35,36;390737/1562500,3122749/12500000;8,25007168,65470000,0,0,26741589,117755079;10,2498199200,6549183670,0,0,2659356501,257194368099
47;C;0,47;4426383/20000000;2,22,0,0,26,41,2043;2,22,0,0,30,47,1291
48;C;0,47;4426383/20000000;2,22,0,0,21,53,1150;2,22,0,0,30,47,1291
49;L;36,37;3122749/12500000,600789/2500000;10,2498199200,2659356501,0,0,6549183670,257194368099;8,24031560,26849790,0,0,63917139,119010579
49;L;37,38;600789/2500000,5754847/25000000;8,24031560,26849790,0,0,63917139,119010579;8,23019388,27130537,0,0,62191732,32931807
49;L;38,39;5754847/25000000,4426383/20000000;8,23019388,27130537,0,0,62191732,32931807;4,2213,2742,0,0,6047,175227
49;C;39,41;4426383/20000000;4,2213,2742,0,0,6047,175227;2,22,28,0,0,58,252
49;C;41,47;11145373/50000000;2,22,28,0,0,58,252;2,22,30,0,0,47,1291
50;C;0,2;7667093/20000000;2,38,0,0,18,59,3795;2,38,0,0,19,60,3639
51;C;0,12;35964009/100000000;2,35,0,0,9,59,3438;2,35,0,0,9,61,3198
52;C;0,2;7667093/20000000;2,38,0,0,59,19,3758;2,38,0,0,60,19,3639
53;C;0,12;35964009/100000000;2,35,0,0,9,59,3438;2,35,0,0,9,61,3198
54;C;2,32;3233133/12500000;2,25,60,0,0,19,1039;2,25,65,0,0,0,775
55;C;0,32;3233133/12500000;2,25,0,0,9,32,3895;2,25,0,0,10,35,3675
56;C;0,32;3233133/12500000;2,25,0,0,9,39,3398;2,25,0,0,10,35,3675
57;C;12,32;3233133/12500000;2,25,9,0,0,61,1198;2,25,10,0,0,35,3675
58;C;0,2;7667093/20000000;2,38,0,0,9,59,4038;2,38,0,0,9,60,3919
59;C;0,32;3233133/12500000;2,25,0,0,0,59,1519;2,25,0,0,0,65,775
60;C;0,2;7667093/20000000;2,38,0,0,59,10,4019;2,38,0,0,60,9,3919
61;C;0,32;3233133/12500000;2,25,0,0,59,0,1519;2,25,0,0,65,0,775
62;C;2,32;3233133/12500000;2,25,60,0,0,9,1319;2,25,65,0,0,0,775
63;C;0,32;3233133/12500000;2,25,0,0,0,59,1519;2,25,0,0,0,65,775
64;C;0,32;3233133/12500000;2,25,0,0,59,0,1519;2,25,0,0,65,0,775
65;C;0,2;7667093/20000000;2,38,0,0,28,59,3335;2,38,0,0,28,60,3216
66;C;0,12;35964009/100000000;2,35,0,0,19,59,3158;2,35,0,0,19,61,2918
67;C;0,2;7667093/20000000;2,38,0,0,59,28,3335;2,38,0,0,60,28,3216
68;C;0,12;35964009/100000000;2,35,0,0,18,59,3195;2,35,0,0,19,61,2918
69;C;2,12;35964009/100000000;2,35,60,0,0,28,2616;2,35,61,0,0,19,2918
70;C;0,32;3233133/12500000;2,25,0,0,21,32,3535;2,25,0,0,23,35,3246
71;C;0,32;3233133/12500000;2,25,0,0,17,39,3190;2,25,0,0,23,35,3246
72;C;12,32;3233133/12500000;2,25,19,0,0,61,918;2,25,23,0,0,35,3246
MASS SLACK NUMERATOR 18931642569717698376238241961342649945083734917774905270869972012106674679757543650368568486544582975085620483927524629103
BIN 16: PATH1; (171/140,69/56]; gamma0=5911/10000; mass ceiling=49315637/50000000.
GAMMA 0=5911/10000;1=371/625;2=93080137500/156480644567;3=5961/10000;4=2993/5000;5=6011/10000;6=16300265625/27041551898;7=1509/2500;8=85435875000/141192119567;9=6061/10000;10=21995990625/36270125273;11=225730575000/371882151593;12=3043/5000;13=6111/10000;14=95328450000/155549736409;15=767/1250;16=6161/10000;17=42717937500/69202951967;18=3093/5000;19=6211/10000;20=1559/2500;21=6261/10000;22=3143/5000;23=6311/10000;24=396/625;25=6361/10000;26=3193/5000;27=6411/10000;28=1609/2500;29=6461/10000;30=3243/5000;31=37097156250/57116527021;32=6511/10000;33=817/1250;34=62802862500/95926094567;35=6561/10000;36=3293/5000;37=6611/10000;38=1659/2500;39=6661/10000;40=3343/5000;41=6711/10000;42=421/625;43=6761/10000;44=3393/5000;45=6811/10000;46=55308487500/80937344567;47=1709/2500;48=6861/10000;49=3443/5000;50=6911/10000;51=867/1250;52=6961/10000;53=3493/5000;54=7011/10000;55=1759/2500;56=7061/10000;57=3543/5000;58=7111/10000;59=446/625;60=7161/10000;61=3593/5000;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38247502,38558083;1,2,38558083,38711962;2,3,38711962,37604741;3,4,37604741,36291325;4,5,36291325,36132121;5,6,36132121,36335082;6,7,36335082,36433296;7,8,36433296,36615050;8,9,36615050,36735721;9,10,36735721,36778071;10,11,36778071,36844283;11,12,36844283,37039396;12,13,37039396,37344321;13,14,37344321,37558350;14,15,37558350,36515093;15,16,36515093,33278422;16,17,33278422,32615858;17,18,32615858,32227452;18,19,32227452,31512388;19,20,31512388,30827854;20,21,30827854,30173852;21,22,30173852,29550381;22,23,29550381,28957440;23,24,28957440,28395031;24,25,28395031,27863153;25,26,27863153,27361806;26,27,27361806,26890990;27,28,26890990,26450706;28,29,26450706,26040952;29,30,26040952,25661729;30,31,25661729,25532753;31,32,25532753,25313038;32,33,25313038,24994878;33,34,24994878,24864501;34,35,24864501,24264080;35,36,24264080,23216515;36,37,23216515,22201006;37,38,22201006,22096592;38,39,22096592,22204126;39,40,22204126,22351299;40,41,22351299,22518761;41,42,22518761,22686848;42,43,22686848,22855561;43,44,22855561,23024898;44,45,23024898,23194861;45,46,23194861,23348322;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;134661221417/37771650000,1/3,156480644567/75543300000;-673146090035537
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;145/84,5/3,95/168;-15
10;6;1;-1
11;2,3,7;251/168,4/3,95/168;-17
14;6;1;-1
15;2,3,10;251/168,4/3,95/168;-17
17;2,3,5;6/7,11/3,95/168;-47
18;1,4,8;98295516167/25181100000,4/3,156480644567/75543300000;-421335090035537
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;251/168,4/3,95/168;-17
29;1,3,9;73/84,10/3,69/56;-73
30;1,4,11;98295516167/25181100000,4/3,156480644567/75543300000;-421335090035537
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;251/168,4/3,95/168;-17
41;1,3,12;73/84,10/3,69/56;-73
42;1,4,14;134661221417/37771650000,1/3,156480644567/75543300000;-673146090035537
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;251/168,4/3,95/168;-17
56;2,3,7;251/168,4/3,95/168;-17
58;2,3,10;251/168,4/3,95/168;-17
59;2,3,13;6/7,11/3,95/168;-47
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;229/84,5/3,41/56;-17
70;6;1;-1
72;1,4,6;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
74;6;1;-1
77;2,3,5;13/7,4,41/56;-19
78;1,4,8;139693244567/25181100000,1/3,156480644567/75543300000;-799051590035537
79;1,4,8;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;38968844567/12590550000,14/3,156480644567/75543300000;-43618590035537
84;1,4,8;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
86;8;1;-1
89;1,3,9;73/84,10/3,69/56;-73
90;1,4,11;139693244567/25181100000,1/3,156480644567/75543300000;-799051590035537
91;1,4,11;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;38968844567/12590550000,14/3,156480644567/75543300000;-43618590035537
96;1,4,11;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
98;11;1;-1
101;1,3,12;73/84,10/3,69/56;-73
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;45683804567/15108660000,11/3,156480644567/75543300000;-1650090035537
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;229/84,5/3,41/56;-17
119;2,3,13;13/7,4,41/56;-19
120;0,1,6;5/3,2,1;-1
121;1,4,6;21516998423/4721456250,5/3,156480644567/75543300000;-295429590035537
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;313/84,13/6,55/56;-17
130;6;1;-1
132;1,4,6;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
134;6;1;-1
137;2,3,5;20/7,5,55/56;-5
138;0,1,8;2/3,3,1;-2
139;1,4,8;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;53208756617/12590550000,11/3,156480644567/75543300000;-232476840035537
144;1,4,8;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
146;8;1;-1
149;1,3,9;73/84,10/3,69/56;-73
150;0,1,11;2/3,3,1;-2
151;1,4,11;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;53208756617/12590550000,11/3,156480644567/75543300000;-232476840035537
156;1,4,11;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
158;11;1;-1
161;1,3,12;73/84,10/3,69/56;-73
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;66352451447/15108660000,8/3,156480644567/75543300000;-253461090035537
169;14;1;-1
171;1,4,14;21516998423/4721456250,5/3,156480644567/75543300000;-295429590035537
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;313/84,13/6,55/56;-17
179;2,3,13;20/7,5,55/56;-5
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;14229563391736,8687543899992104436975000,710430169814421,2828
4;1,4,6,3;14229563391736,11338788401831050648740000,4965269562437268,9128
5;5,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
12;1,4,6,3;14229563391736,11338788401831050648740000,4965269562437268,9128
13;5,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
16;5,4,2,3;353924813863264,4748898566292516581400000,3044281955074584,336
19;1,4,8,3;14229563391736,11338788401831050648740000,4965269562437268,9128
22;1,4,8,3;14229563391736,7314588803062278498600000,353924813863264,3472
23;7,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
24;1,4,8,3;14229563391736,11338788401831050648740000,4965269562437268,9128
25;7,4,2,3;710430169814421,591922342590943718025000,3044281955074584,924
28;7,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
31;1,4,11,3;14229563391736,11338788401831050648740000,4965269562437268,9128
34;1,4,11,3;14229563391736,7314588803062278498600000,353924813863264,3472
35;10,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
36;1,4,11,3;14229563391736,11338788401831050648740000,4965269562437268,9128
37;10,4,2,3;710430169814421,591922342590943718025000,3044281955074584,924
40;10,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
44;1,4,14,3;14229563391736,11338788401831050648740000,4965269562437268,9128
48;1,4,14,3;14229563391736,11338788401831050648740000,4965269562437268,9128
50;13,4,2,3;353924813863264,4748898566292516581400000,3044281955074584,336
51;1,4,14,3;14229563391736,8687543899992104436975000,710430169814421,2828
53;13,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
57;13,4,2,3;4965269562437268,3322877013848264923260000,3044281955074584,10248
61;1,4,6,3;14229563391736,107176288371007202550000,14317750207887,476
65;1,4,9,3;14229563391736,13900070239987367099160000,30748777927289352,11312
71;7,4,2,3;30748777927289352,1140745944952716900840000,4181196950809928,2800
73;1,4,12,3;14229563391736,13900070239987367099160000,30748777927289352,11312
75;10,4,2,3;30748777927289352,1140745944952716900840000,4181196950809928,2800
76;1,4,2,3;14229563391736,28533950874450000000000000,4181196950809928,1568
83;1,4,2,3;14229563391736,28533950874450000000000000,4181196950809928,1568
85;7,4,12,3;14317750207887,139496225257696559490000,30748777927289352,12684
87;10,4,2,3;30748777927289352,1140745944952716900840000,4181196950809928,2800
88;1,4,2,3;14229563391736,28533950874450000000000000,4181196950809928,1568
95;1,4,2,3;14229563391736,28533950874450000000000000,4181196950809928,1568
97;10,4,9,3;14317750207887,139496225257696559490000,30748777927289352,12684
99;7,4,2,3;30748777927289352,1140745944952716900840000,4181196950809928,2800
100;1,4,2,3;14229563391736,28533950874450000000000000,4181196950809928,1568
110;1,4,2,3;14229563391736,28533950874450000000000000,4181196950809928,1568
111;1,4,14,3;14229563391736,107176288371007202550000,14317750207887,476
113;1,4,9,3;14229563391736,13900070239987367099160000,30748777927289352,11312
116;7,4,2,3;30748777927289352,1140745944952716900840000,4181196950809928,2800
117;1,4,12,3;14229563391736,13900070239987367099160000,30748777927289352,11312
118;10,4,2,3;30748777927289352,1140745944952716900840000,4181196950809928,2800
125;1,4,9,3;14229563391736,2486489890207367099160000,11223466654774752,1904
131;7,4,2,3;11223466654774752,2117224985954606188920000,1867923191616664,5152
133;1,4,12,3;14229563391736,2486489890207367099160000,11223466654774752,1904
135;10,4,2,3;11223466654774752,2117224985954606188920000,1867923191616664,5152
136;1,4,2,3;14229563391736,7133487718612500000000000,1867923191616664,784
143;1,4,2,3;14229563391736,7133487718612500000000000,1867923191616664,784
145;1,4,12,3;14229563391736,2486489890207367099160000,11223466654774752,1904
147;10,4,2,3;11223466654774752,2117224985954606188920000,1867923191616664,5152
148;1,4,2,3;14229563391736,7133487718612500000000000,1867923191616664,784
155;1,4,2,3;14229563391736,7133487718612500000000000,1867923191616664,784
157;1,4,9,3;14229563391736,2486489890207367099160000,11223466654774752,1904
159;7,4,2,3;11223466654774752,2117224985954606188920000,1867923191616664,5152
160;1,4,2,3;14229563391736,7133487718612500000000000,1867923191616664,784
170;1,4,2,3;14229563391736,7133487718612500000000000,1867923191616664,784
173;1,4,9,3;14229563391736,2486489890207367099160000,11223466654774752,1904
176;7,4,2,3;11223466654774752,2117224985954606188920000,1867923191616664,5152
177;1,4,12,3;14229563391736,2486489890207367099160000,11223466654774752,1904
178;10,4,2,3;11223466654774752,2117224985954606188920000,1867923191616664,5152
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,3
57;136;E;4,1
58;136;E;4,2
59;136;E;4,3
60;143;V;2,3
61;143;E;4,2
62;145;V;3,1
63;145;V;12,3
64;145;E;4,1
65;145;E;4,12
66;145;E;4,3
67;147;V;2,3
68;147;E;4,2
69;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/2;V/6,3/1/0/14;E/4,1/2/0/2;E/4,6/3/0/14;E/4,3/4/2/14
4:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
5:V/3,5/6/0/11;V/2,3/10/0/17;E/4,5/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
12:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
13:V/3,5/6/0/11;V/2,3/10/0/17;E/4,5/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
16:V/3,5/13/0/6;V/2,3/14/0/17;E/4,5/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
19:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
22:V/3,1/5/0/2;V/8,3/13/0/6;E/4,1/7/0/2;E/4,8/15/0/6;E/4,3/9/2/6
23:V/3,7/6/0/11;V/2,3/10/0/17;E/4,7/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
24:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
25:V/3,7/1/0/14;V/2,3/18/0/17;E/4,7/3/0/14;E/4,2/19/0/17;E/4,3/20/14/17
28:V/3,7/6/0/11;V/2,3/10/0/17;E/4,7/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
31:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
34:V/3,1/5/0/2;V/11,3/13/0/6;E/4,1/7/0/2;E/4,11/15/0/6;E/4,3/9/2/6
35:V/3,10/6/0/11;V/2,3/10/0/17;E/4,10/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
36:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
37:V/3,10/1/0/14;V/2,3/18/0/17;E/4,10/3/0/14;E/4,2/19/0/17;E/4,3/20/14/17
40:V/3,10/6/0/11;V/2,3/10/0/17;E/4,10/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
44:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
48:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
50:V/3,13/13/0/6;V/2,3/14/0/17;E/4,13/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
51:V/3,1/0/0/2;V/14,3/1/0/14;E/4,1/2/0/2;E/4,14/3/0/14;E/4,3/4/2/14
53:V/3,13/6/0/11;V/2,3/10/0/17;E/4,13/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
57:V/3,13/6/0/11;V/2,3/10/0/17;E/4,13/8/0/11;E/4,2/11/0/17;E/4,3/12/11/17
61:V/3,1/21/0/2;V/6,3/22/0/8;E/4,1/23/0/2;E/4,6/24/0/8;E/4,3/25/2/8
65:V/3,1/26/0/2;V/9,3/27/0/34;E/4,1/28/0/2;E/4,9/29/0/34;E/4,3/30/2/34
71:V/3,7/27/0/34;V/2,3/31/0/46;E/4,7/29/0/34;E/4,2/32/0/46;E/4,3/33/34/46
73:V/3,1/26/0/2;V/12,3/27/0/34;E/4,1/28/0/2;E/4,12/29/0/34;E/4,3/30/2/34
75:V/3,10/27/0/34;V/2,3/31/0/46;E/4,10/29/0/34;E/4,2/32/0/46;E/4,3/33/34/46
76:V/3,1/34/0/2;V/2,3/35/0/46;E/4,1/36/0/2;E/4,2/37/0/46;E/4,3/38/2/46
83:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
85:V/3,7/22/0/8;V/12,3/41/0/34;E/4,7/24/0/8;E/4,12/42/0/34;E/4,3/43/8/34
87:V/3,10/41/0/34;V/2,3/44/0/46;E/4,10/42/0/34;E/4,2/45/0/46;E/4,3/46/34/46
88:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
95:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
97:V/3,10/22/0/8;V/9,3/41/0/34;E/4,10/24/0/8;E/4,9/42/0/34;E/4,3/43/8/34
99:V/3,7/41/0/34;V/2,3/44/0/46;E/4,7/42/0/34;E/4,2/45/0/46;E/4,3/46/34/46
100:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
110:V/3,1/34/0/2;V/2,3/35/0/46;E/4,1/36/0/2;E/4,2/37/0/46;E/4,3/38/2/46
111:V/3,1/21/0/2;V/14,3/22/0/8;E/4,1/23/0/2;E/4,14/24/0/8;E/4,3/25/2/8
113:V/3,1/26/0/2;V/9,3/27/0/34;E/4,1/28/0/2;E/4,9/29/0/34;E/4,3/30/2/34
116:V/3,7/27/0/34;V/2,3/31/0/46;E/4,7/29/0/34;E/4,2/32/0/46;E/4,3/33/34/46
117:V/3,1/26/0/2;V/12,3/27/0/34;E/4,1/28/0/2;E/4,12/29/0/34;E/4,3/30/2/34
118:V/3,10/27/0/34;V/2,3/31/0/46;E/4,10/29/0/34;E/4,2/32/0/46;E/4,3/33/34/46
125:V/3,1/47/0/2;V/9,3/48/0/10;E/4,1/49/0/2;E/4,9/50/0/10;E/4,3/51/2/10
131:V/3,7/48/0/10;V/2,3/52/0/31;E/4,7/50/0/10;E/4,2/53/0/31;E/4,3/54/10/31
133:V/3,1/47/0/2;V/12,3/48/0/10;E/4,1/49/0/2;E/4,12/50/0/10;E/4,3/51/2/10
135:V/3,10/48/0/10;V/2,3/52/0/31;E/4,10/50/0/10;E/4,2/53/0/31;E/4,3/54/10/31
136:V/3,1/55/0/2;V/2,3/56/0/31;E/4,1/57/0/2;E/4,2/58/0/31;E/4,3/59/2/31
143:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
145:V/3,1/62/0/2;V/12,3/63/0/10;E/4,1/64/0/2;E/4,12/65/0/10;E/4,3/66/2/10
147:V/3,10/63/0/10;V/2,3/67/0/31;E/4,10/65/0/10;E/4,2/68/0/31;E/4,3/69/10/31
148:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
155:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
157:V/3,1/62/0/2;V/9,3/63/0/10;E/4,1/64/0/2;E/4,9/65/0/10;E/4,3/66/2/10
159:V/3,7/63/0/10;V/2,3/67/0/31;E/4,7/65/0/10;E/4,2/68/0/31;E/4,3/69/10/31
160:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
170:V/3,1/55/0/2;V/2,3/56/0/31;E/4,1/57/0/2;E/4,2/58/0/31;E/4,3/59/2/31
173:V/3,1/47/0/2;V/9,3/48/0/10;E/4,1/49/0/2;E/4,9/50/0/10;E/4,3/51/2/10
176:V/3,7/48/0/10;V/2,3/52/0/31;E/4,7/50/0/10;E/4,2/53/0/31;E/4,3/54/10/31
177:V/3,1/47/0/2;V/12,3/48/0/10;E/4,1/49/0/2;E/4,12/50/0/10;E/4,3/51/2/10
178:V/3,10/48/0/10;V/2,3/52/0/31;E/4,10/50/0/10;E/4,2/53/0/31;E/4,3/54/10/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;19123751/50000000,38558083/100000000;4,3824,0,2565,5911,5911,20933;6,385580,0,257500,593600,593600,131830000
0;L;1,2;38558083/100000000,19355981/50000000;6,385580,0,257500,593600,593600,131830000;8,38711962,0,25803544,59483483,59483483,17417486
1;C;0,3;37604741/100000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
1;C;3,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
1;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
1;L;6,7;18167541/50000000,2277081/6250000;8,36335082,0,0,60278588,60278588,57452512;8,36433296,0,0,60360000,60360000,0
1;L;7,8;2277081/6250000,732301/2000000;8,36433296,0,0,60360000,60360000,0;8,36615050,0,0,60510371,60510371,2884718
1;L;8,9;732301/2000000,36735721/100000000;8,36615050,0,0,60510371,60510371,2884718;8,36735721,0,0,60610000,60610000,0
1;L;9,10;36735721/100000000,36778071/100000000;8,36735721,0,0,60610000,60610000,0;8,36778071,0,0,60644926,60644926,100909048
1;L;10,11;36778071/100000000,36844283/100000000;8,36778071,0,0,60644926,60644926,100909048;10,3684428300,0,0,6069949151,6069949151,608548758398
1;L;11,12;36844283/100000000,9259849/25000000;10,3684428300,0,0,6069949151,6069949151,608548758398;8,37039396,0,0,60860000,60860000,0
1;L;12,13;9259849/25000000,37344321/100000000;8,37039396,0,0,60860000,60860000,0;8,37344321,0,0,61110000,61110000,0
1;L;13,14;37344321/100000000,751167/2000000;8,37344321,0,0,61110000,61110000,0;10,3755835000,0,0,6128486760,6128486760,65009404800
2;L;0,1;19123751/50000000,38558083/100000000;8,38247502,0,59110000,59110000,25719955,114797975;8,38558083,0,59360000,59360000,25775907,18327351
2;L;1,2;38558083/100000000,19355981/50000000;8,38558083,0,59360000,59360000,25775907,18327351;8,38711962,0,59483483,59483483,25803544,17417486
3;C;0,3;37604741/100000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
3;C;3,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
3;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
3;L;6,7;18167541/50000000,2277081/6250000;8,36335082,0,0,60278588,60278588,57452512;8,36433296,0,0,60360000,60360000,0
3;L;7,8;2277081/6250000,732301/2000000;8,36433296,0,0,60360000,60360000,0;8,36615050,0,0,60510371,60510371,2884718
3;L;8,9;732301/2000000,36735721/100000000;8,36615050,0,0,60510371,60510371,2884718;8,36735721,0,0,60610000,60610000,0
3;L;9,10;36735721/100000000,36778071/100000000;8,36735721,0,0,60610000,60610000,0;8,36778071,0,0,60644926,60644926,100909048
3;L;10,11;36778071/100000000,36844283/100000000;8,36778071,0,0,60644926,60644926,100909048;10,3684428300,0,0,6069949151,6069949151,608548758398
3;L;11,12;36844283/100000000,9259849/25000000;10,3684428300,0,0,6069949151,6069949151,608548758398;8,37039396,0,0,60860000,60860000,0
3;L;12,13;9259849/25000000,37344321/100000000;8,37039396,0,0,60860000,60860000,0;8,37344321,0,0,61110000,61110000,0
3;L;13,14;37344321/100000000,751167/2000000;8,37344321,0,0,61110000,61110000,0;10,3755835000,0,0,6128486760,6128486760,65009404800
4;L;2,3;19355981/50000000,37604741/100000000;8,38711962,59483483,59483483,0,25803544,17417486;8,37604741,59610000,59610000,0,20352981,164413639
4;L;3,4;37604741/100000000,1451653/4000000;8,37604741,59610000,59610000,0,20352981,164413639;8,36291325,59860000,59860000,0,9582572,113864816
4;L;4,5;1451653/4000000,36132121/100000000;8,36291325,59860000,59860000,0,9582572,113864816;8,36132121,60110000,60110000,0,0,0
4;L;5,6;36132121/100000000,18167541/50000000;8,36132121,60110000,60110000,0,0,0;8,36335082,60278588,60278588,0,0,57452512
4;L;6,7;18167541/50000000,2277081/6250000;8,36335082,60278588,60278588,0,0,57452512;8,36433296,60360000,60360000,0,0,0
4;L;7,8;2277081/6250000,732301/2000000;8,36433296,60360000,60360000,0,0,0;8,36615050,60510371,60510371,0,0,2884718
4;L;8,9;732301/2000000,36735721/100000000;8,36615050,60510371,60510371,0,0,2884718;8,36735721,60610000,60610000,0,0,0
4;L;9,10;36735721/100000000,36778071/100000000;8,36735721,60610000,60610000,0,0,0;8,36778071,60644926,60644926,0,0,100909048
4;L;10,11;36778071/100000000,36844283/100000000;8,36778071,60644926,60644926,0,0,100909048;10,3684428300,6069949151,6069949151,0,0,608548758398
4;L;11,12;36844283/100000000,9259849/25000000;10,3684428300,6069949151,6069949151,0,0,608548758398;8,37039396,60860000,60860000,0,0,0
4;L;12,13;9259849/25000000,37344321/100000000;8,37039396,60860000,60860000,0,0,0;8,37344321,61110000,61110000,0,0,0
4;L;13,14;37344321/100000000,751167/2000000;8,37344321,61110000,61110000,0,0,0;10,3755835000,6128486760,6128486760,0,0,65009404800
5;C;0,2;19123751/50000000;2,38,0,17,60,60,111;2,38,0,18,60,60,76
6;C;0,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
6;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
6;L;6,7;18167541/50000000,2277081/6250000;8,36335082,0,0,60278588,60278588,57452512;8,36433296,0,0,60360000,60360000,0
6;L;7,8;2277081/6250000,732301/2000000;8,36433296,0,0,60360000,60360000,0;8,36615050,0,0,60510371,60510371,2884718
6;L;8,9;732301/2000000,36735721/100000000;8,36615050,0,0,60510371,60510371,2884718;8,36735721,0,0,60610000,60610000,0
6;L;9,10;36735721/100000000,36778071/100000000;8,36735721,0,0,60610000,60610000,0;8,36778071,0,0,60644926,60644926,100909048
6;L;10,11;36778071/100000000,36844283/100000000;8,36778071,0,0,60644926,60644926,100909048;10,3684428300,0,0,6069949151,6069949151,608548758398
7;C;0,2;19123751/50000000;2,38,0,60,60,18,76;2,38,0,60,60,18,76
8;C;0,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
8;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
8;L;6,7;18167541/50000000,2277081/6250000;8,36335082,0,0,60278588,60278588,57452512;8,36433296,0,0,60360000,60360000,0
8;L;7,8;2277081/6250000,732301/2000000;8,36433296,0,0,60360000,60360000,0;8,36615050,0,0,60510371,60510371,2884718
8;L;8,9;732301/2000000,36735721/100000000;8,36615050,0,0,60510371,60510371,2884718;8,36735721,0,0,60610000,60610000,0
8;L;9,10;36735721/100000000,36778071/100000000;8,36735721,0,0,60610000,60610000,0;8,36778071,0,0,60644926,60644926,100909048
8;L;10,11;36778071/100000000,36844283/100000000;8,36778071,0,0,60644926,60644926,100909048;10,3684428300,0,0,6069949151,6069949151,608548758398
9;C;2,3;37604741/100000000;4,3760,5949,5949,0,1711,1491277;2,37,60,60,0,12,56
9;C;3,4;1451653/4000000;4,3629,5961,5961,0,1104,294142;2,36,60,60,0,0,0
9;C;4,5;36132121/100000000;2,36,60,60,0,0,0;8,36132121,60110000,60110000,0,0,0
9;L;5,6;36132121/100000000,18167541/50000000;8,36132121,60110000,60110000,0,0,0;8,36335082,60278588,60278588,0,0,57452512
9;L;6,7;18167541/50000000,2277081/6250000;8,36335082,60278588,60278588,0,0,57452512;8,36433296,60360000,60360000,0,0,0
9;L;7,8;2277081/6250000,732301/2000000;8,36433296,60360000,60360000,0,0,0;8,36615050,60510371,60510371,0,0,2884718
9;L;8,9;732301/2000000,36735721/100000000;8,36615050,60510371,60510371,0,0,2884718;8,36735721,60610000,60610000,0,0,0
9;L;9,10;36735721/100000000,36778071/100000000;8,36735721,60610000,60610000,0,0,0;8,36778071,60644926,60644926,0,0,100909048
9;L;10,11;36778071/100000000,36844283/100000000;8,36778071,60644926,60644926,0,0,100909048;10,3684428300,6069949151,6069949151,0,0,608548758398
10;C;0,17;16307929/50000000;2,32,0,0,30,60,1900;2,32,0,0,31,62,1595
11;C;0,17;16307929/50000000;2,32,0,0,60,35,1575;2,32,0,0,62,31,1595
12;C;11,14;36844283/100000000;10,3684428300,6069949151,0,0,6069949151,608548758398;2,36,62,0,0,44,1420
12;C;14,17;16307929/50000000;2,32,62,0,0,44,620;2,32,62,0,0,31,1595
13;C;0,3;37604741/100000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
13;C;3,4;1451653/4000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
13;C;4,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
13;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
14;C;0,17;16307929/50000000;2,32,0,0,11,60,2679;2,32,0,0,12,62,2412
15;C;0,3;37604741/100000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
15;C;3,4;1451653/4000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
15;C;4,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
15;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
16;C;0,17;16307929/50000000;2,32,0,0,60,17,2511;2,32,0,0,62,12,2412
17;C;6,11;18167541/50000000;8,36335082,60278588,0,0,60278588,57452512;2,36,61,0,0,47,1270
17;C;11,17;16307929/50000000;2,32,61,0,0,47,470;2,32,62,0,0,12,2412
18;C;0,17;16307929/50000000;2,32,0,0,49,60,399;4,3261,0,0,5064,6173,1469975
19;C;0,17;16307929/50000000;4,3261,0,0,5911,5208,3156815;4,3261,0,0,6173,5064,1469975
20;L;14,15;751167/2000000,36515093/100000000;10,3755835000,6128486760,0,0,6128486760,65009404800;8,36515093,61360000,0,0,59480828,100434416
20;L;15,16;36515093/100000000,16639211/50000000;8,36515093,61360000,0,0,59480828,100434416;8,33278422,61610000,0,0,53477960,94238400
20;L;16,17;16639211/50000000,16307929/50000000;8,33278422,61610000,0,0,53477960,94238400;4,3261,6173,0,0,5064,1469975
21;C;0,2;19123751/50000000;2,38,0,0,60,60,400;2,38,0,0,60,60,400
22;C;0,4;1451653/4000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
22;C;4,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
22;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
22;L;6,7;18167541/50000000,2277081/6250000;8,36335082,0,0,60278588,60278588,57452512;8,36433296,0,0,60360000,60360000,0
22;L;7,8;2277081/6250000,732301/2000000;8,36433296,0,0,60360000,60360000,0;8,36615050,0,0,60510371,60510371,2884718
23;C;0,2;19123751/50000000;2,38,0,0,60,60,400;2,38,0,0,60,60,400
24;C;0,4;1451653/4000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
24;C;4,5;36132121/100000000;2,36,0,0,60,60,0;8,36132121,0,0,60110000,60110000,0
24;L;5,6;36132121/100000000,18167541/50000000;8,36132121,0,0,60110000,60110000,0;8,36335082,0,0,60278588,60278588,57452512
24;L;6,7;18167541/50000000,2277081/6250000;8,36335082,0,0,60278588,60278588,57452512;8,36433296,0,0,60360000,60360000,0
24;L;7,8;2277081/6250000,732301/2000000;8,36433296,0,0,60360000,60360000,0;8,36615050,0,0,60510371,60510371,2884718
25;C;2,5;36132121/100000000;2,36,60,60,0,0,0;8,36132121,60110000,60110000,0,0,0
25;L;5,6;36132121/100000000,18167541/50000000;8,36132121,60110000,60110000,0,0,0;8,36335082,60278588,60278588,0,0,57452512
25;L;6,7;18167541/50000000,2277081/6250000;8,36335082,60278588,60278588,0,0,57452512;8,36433296,60360000,60360000,0,0,0
25;L;7,8;2277081/6250000,732301/2000000;8,36433296,60360000,60360000,0,0,0;8,36615050,60510371,60510371,0,0,2884718
26;C;0,2;19123751/50000000;2,38,0,0,58,60,636;2,38,0,0,59,60,519
27;C;0,34;24864501/100000000;2,24,0,0,10,60,1100;2,24,0,0,11,66,323
28;C;0,2;19123751/50000000;2,38,0,0,60,59,519;2,38,0,0,60,59,519
29;C;0,34;24864501/100000000;2,24,0,0,10,60,1100;2,24,0,0,11,66,323
30;C;2,13;36132121/100000000;2,36,60,0,0,59,119;2,36,62,0,0,46,1240
30;C;13,18;8056863/25000000;2,32,62,0,0,46,440;2,32,62,0,0,40,956
30;C;18,24;28395031/100000000;2,28,62,0,0,40,156;2,28,64,0,0,28,720
30;C;24,35;303301/1250000;4,2426,6336,0,0,2767,718815;2,24,66,0,0,10,344
30;C;35,37;11100503/50000000;4,2220,6561,0,0,989,375158;4,2220,6611,0,0,594,341843
30;C;37,38;1381037/6250000;4,2209,6611,0,0,594,121843;8,22096592,66360000,0,0,3958366,138610044
30;L;38,39;1381037/6250000,11102063/50000000;8,22096592,66360000,0,0,3958366,138610044;8,22204126,66610000,0,0,1983184,81222144
30;L;39,40;11102063/50000000,22351299/100000000;8,22204126,66610000,0,0,1983184,81222144;8,22351299,66860000,0,0,8002,135967996
30;L;40,41;22351299/100000000,22518761/100000000;8,22351299,66860000,0,0,8002,135967996;8,22518761,67110000,0,0,0,100000000
30;L;41,42;22518761/100000000,177241/781250;8,22518761,67110000,0,0,0,100000000;8,22686848,67360000,0,0,0,0
30;L;42,43;177241/781250,22855561/100000000;8,22686848,67360000,0,0,0,0;8,22855561,67610000,0,0,0,100000000
30;L;43,44;22855561/100000000,11512449/50000000;8,22855561,67610000,0,0,0,100000000;8,23024898,67860000,0,0,0,0
30;L;44,45;11512449/50000000,23194861/100000000;8,23024898,67860000,0,0,0,0;8,23194861,68110000,0,0,0,100000000
30;L;45,46;23194861/100000000,11674161/50000000;8,23194861,68110000,0,0,0,100000000;10,2334832200,6833494205,0,0,0,950231417975
31;C;0,46;1381037/6250000;2,22,0,0,10,40,2700;2,22,0,0,12,46,2140
32;C;0,46;1381037/6250000;2,22,0,0,10,52,1596;2,22,0,0,12,46,2140
33;C;34,46;1381037/6250000;4,2209,1099,0,0,6548,95895;2,22,12,0,0,46,2140
34;C;0,2;19123751/50000000;2,38,0,0,49,60,1599;2,38,0,0,49,60,1599
35;C;0,23;22623/78125;2,28,0,0,0,60,2000;2,28,0,0,0,64,1504
35;C;23,34;24864501/100000000;2,24,0,0,0,64,704;2,24,0,0,0,66,444
35;C;34,37;11100503/50000000;2,22,0,0,0,66,44;4,2220,0,0,0,6611,694679
35;C;37,38;1381037/6250000;4,2209,0,0,0,6611,474679;4,2209,0,0,0,6636,143504
35;L;38,39;1381037/6250000,11102063/50000000;4,2209,0,0,0,6636,143504;4,2220,0,0,0,6661,31079
35;L;39,40;11102063/50000000,22351299/100000000;4,2220,0,0,0,6661,31079;8,22351299,0,0,0,66860000,200000000
35;L;40,41;22351299/100000000,22518761/100000000;8,22351299,0,0,0,66860000,200000000;8,22518761,0,0,0,67110000,100000000
35;L;41,42;22518761/100000000,177241/781250;8,22518761,0,0,0,67110000,100000000;8,22686848,0,0,0,67360000,0
35;L;42,43;177241/781250,22855561/100000000;8,22686848,0,0,0,67360000,0;8,22855561,0,0,0,67610000,100000000
35;L;43,44;22855561/100000000,11512449/50000000;8,22855561,0,0,0,67610000,100000000;8,23024898,0,0,0,67860000,0
35;L;44,45;11512449/50000000,23194861/100000000;8,23024898,0,0,0,67860000,0;8,23194861,0,0,0,68110000,100000000
35;L;45,46;23194861/100000000,11674161/50000000;8,23194861,0,0,0,68110000,100000000;10,2334832200,0,0,0,6833494205,950231417975
36;C;0,2;19123751/50000000;2,38,0,0,60,50,1500;2,38,0,0,60,49,1599
37;C;0,23;22623/78125;2,28,0,0,60,0,2000;2,28,0,0,64,0,1504
37;C;23,34;24864501/100000000;2,24,0,0,64,0,704;2,24,0,0,66,0,444
37;C;34,37;11100503/50000000;2,22,0,0,66,0,44;4,2220,0,0,6611,0,694679
37;C;37,38;1381037/6250000;4,2209,0,0,6611,0,474679;4,2209,0,0,6636,0,143504
37;L;38,39;1381037/6250000,11102063/50000000;4,2209,0,0,6636,0,143504;4,2220,0,0,6661,0,31079
37;L;39,40;11102063/50000000,22351299/100000000;4,2220,0,0,6661,0,31079;8,22351299,0,0,66860000,0,200000000
37;L;40,41;22351299/100000000,22518761/100000000;8,22351299,0,0,66860000,0,200000000;8,22518761,0,0,67110000,0,100000000
37;L;41,42;22518761/100000000,177241/781250;8,22518761,0,0,67110000,0,100000000;8,22686848,0,0,67360000,0,0
37;L;42,43;177241/781250,22855561/100000000;8,22686848,0,0,67360000,0,0;8,22855561,0,0,67610000,0,100000000
37;L;43,44;22855561/100000000,11512449/50000000;8,22855561,0,0,67610000,0,100000000;8,23024898,0,0,67860000,0,0
37;L;44,45;11512449/50000000,23194861/100000000;8,23024898,0,0,67860000,0,0;8,23194861,0,0,68110000,0,100000000
37;L;45,46;23194861/100000000,11674161/50000000;8,23194861,0,0,68110000,0,100000000;10,2334832200,0,0,6833494205,0,950231417975
38;C;2,13;36132121/100000000;2,36,60,0,0,49,1199;2,36,62,0,0,35,2131
38;C;13,24;28395031/100000000;2,28,62,0,0,35,531;2,28,64,0,0,15,1279
38;C;24,35;303301/1250000;2,24,64,0,0,15,479;2,24,66,0,0,0,444
38;C;35,37;11100503/50000000;2,22,66,0,0,0,44;4,2220,6611,0,0,0,694679
38;C;37,38;1381037/6250000;4,2209,6611,0,0,0,474679;4,2209,6636,0,0,0,143504
38;L;38,39;1381037/6250000,11102063/50000000;4,2209,6636,0,0,0,143504;4,2220,6661,0,0,0,31079
38;L;39,40;11102063/50000000,22351299/100000000;4,2220,6661,0,0,0,31079;8,22351299,66860000,0,0,0,200000000
38;L;40,41;22351299/100000000,22518761/100000000;8,22351299,66860000,0,0,0,200000000;8,22518761,67110000,0,0,0,100000000
38;L;41,42;22518761/100000000,177241/781250;8,22518761,67110000,0,0,0,100000000;8,22686848,67360000,0,0,0,0
38;L;42,43;177241/781250,22855561/100000000;8,22686848,67360000,0,0,0,0;8,22855561,67610000,0,0,0,100000000
38;L;43,44;22855561/100000000,11512449/50000000;8,22855561,67610000,0,0,0,100000000;8,23024898,67860000,0,0,0,0
38;L;44,45;11512449/50000000,23194861/100000000;8,23024898,67860000,0,0,0,0;8,23194861,68110000,0,0,0,100000000
38;L;45,46;23194861/100000000,11674161/50000000;8,23194861,68110000,0,0,0,100000000;10,2334832200,6833494205,0,0,0,950231417975
39;C;0,23;22623/78125;2,28,0,0,0,60,2000;2,28,0,0,0,64,1504
39;C;23,34;24864501/100000000;2,24,0,0,0,64,704;2,24,0,0,0,66,444
39;C;34,37;11100503/50000000;2,22,0,0,0,66,44;4,2220,0,0,0,6611,694679
39;C;37,38;1381037/6250000;4,2209,0,0,0,6611,474679;4,2209,0,0,0,6636,143504
39;L;38,39;1381037/6250000,11102063/50000000;4,2209,0,0,0,6636,143504;4,2220,0,0,0,6661,31079
39;L;39,40;11102063/50000000,22351299/100000000;4,2220,0,0,0,6661,31079;8,22351299,0,0,0,66860000,200000000
39;L;40,41;22351299/100000000,22518761/100000000;8,22351299,0,0,0,66860000,200000000;8,22518761,0,0,0,67110000,100000000
39;L;41,42;22518761/100000000,177241/781250;8,22518761,0,0,0,67110000,100000000;8,22686848,0,0,0,67360000,0
39;L;42,43;177241/781250,22855561/100000000;8,22686848,0,0,0,67360000,0;8,22855561,0,0,0,67610000,100000000
39;L;43,44;22855561/100000000,11512449/50000000;8,22855561,0,0,0,67610000,100000000;8,23024898,0,0,0,67860000,0
39;L;44,45;11512449/50000000,23194861/100000000;8,23024898,0,0,0,67860000,0;8,23194861,0,0,0,68110000,100000000
39;L;45,46;23194861/100000000,11674161/50000000;8,23194861,0,0,0,68110000,100000000;10,2334832200,0,0,0,6833494205,950231417975
40;C;0,23;22623/78125;2,28,0,0,60,3,1991;2,28,0,0,64,0,1504
40;C;23,34;24864501/100000000;2,24,0,0,64,0,704;2,24,0,0,66,0,444
40;C;34,37;11100503/50000000;2,22,0,0,66,0,44;4,2220,0,0,6611,0,694679
40;C;37,38;1381037/6250000;4,2209,0,0,6611,0,474679;4,2209,0,0,6636,0,143504
40;L;38,39;1381037/6250000,11102063/50000000;4,2209,0,0,6636,0,143504;4,2220,0,0,6661,0,31079
40;L;39,40;11102063/50000000,22351299/100000000;4,2220,0,0,6661,0,31079;8,22351299,0,0,66860000,0,200000000
40;L;40,41;22351299/100000000,22518761/100000000;8,22351299,0,0,66860000,0,200000000;8,22518761,0,0,67110000,0,100000000
40;L;41,42;22518761/100000000,177241/781250;8,22518761,0,0,67110000,0,100000000;8,22686848,0,0,67360000,0,0
40;L;42,43;177241/781250,22855561/100000000;8,22686848,0,0,67360000,0,0;8,22855561,0,0,67610000,0,100000000
40;L;43,44;22855561/100000000,11512449/50000000;8,22855561,0,0,67610000,0,100000000;8,23024898,0,0,67860000,0,0
40;L;44,45;11512449/50000000,23194861/100000000;8,23024898,0,0,67860000,0,0;8,23194861,0,0,68110000,0,100000000
40;L;45,46;23194861/100000000,11674161/50000000;8,23194861,0,0,68110000,0,100000000;10,2334832200,0,0,6833494205,0,950231417975
41;C;0,34;24864501/100000000;2,24,0,0,24,60,624;8,24864501,0,0,26202530,65470051,43656499
42;C;0,34;24864501/100000000;2,24,0,0,21,60,759;8,24864501,0,0,26202530,65470051,43656499
43;C;8,14;732301/2000000;8,36615050,60510371,0,0,60510371,2884718;2,36,62,0,0,56,220
43;C;14,15;36515093/100000000;2,36,62,0,0,56,220;2,36,62,0,0,55,331
43;L;15,16;36515093/100000000,16639211/50000000;2,36,62,0,0,55,331;4,3327,6161,0,0,5291,587398
43;L;16,17;16639211/50000000,16307929/50000000;4,3327,6161,0,0,5291,587398;10,3261585800,6172849032,0,0,5208421107,400293557527
43;L;17,18;16307929/50000000,8056863/25000000;10,3261585800,6172849032,0,0,5208421107,400293557527;8,32227452,61860000,0,0,51174513,19212831
43;L;18,19;8056863/25000000,7878097/25000000;8,32227452,61860000,0,0,51174513,19212831;8,31512388,62110000,0,0,49445175,169219375
43;L;19,20;7878097/25000000,15413927/50000000;8,31512388,62110000,0,0,49445175,169219375;8,30827854,62360000,0,0,47715838,3957756
43;L;20,21;15413927/50000000,7543463/25000000;8,30827854,62360000,0,0,47715838,3957756;8,30173852,62610000,0,0,45986500,117750000
43;L;21,22;7543463/25000000,29550381/100000000;8,30173852,62610000,0,0,45986500,117750000;8,29550381,62860000,0,0,44257163,123191431
43;L;22,23;29550381/100000000,22623/78125;8,29550381,62860000,0,0,44257163,123191431;8,28957440,63110000,0,0,42527825,769375
43;L;23,24;22623/78125,28395031/100000000;8,28957440,63110000,0,0,42527825,769375;10,2839503100,6336000000,0,0,4079848722,405594966716
43;L;24,25;28395031/100000000,27863153/100000000;10,2839503100,6336000000,0,0,4079848722,405594966716;8,27863153,63610000,0,0,39069150,18277500
43;L;25,26;27863153/100000000,13680903/50000000;8,27863153,63610000,0,0,39069150,18277500;10,2736180600,6386000000,0,0,3733981212,308431011056
43;L;26,27;13680903/50000000,2689099/10000000;10,2736180600,6386000000,0,0,3733981212,308431011056;10,2689099000,6411000000,0,0,3561047458,1871738236
43;L;27,28;2689099/10000000,13225353/50000000;10,2689099000,6411000000,0,0,3561047458,1871738236;8,26450706,64360000,0,0,33881138,87824956
43;L;28,29;13225353/50000000,3255119/12500000;8,26450706,64360000,0,0,33881138,87824956;8,26040952,64610000,0,0,32151800,56760000
43;L;29,30;3255119/12500000,25661729/100000000;8,26040952,64610000,0,0,32151800,56760000;8,25661729,64860000,0,0,30422462,5858556
43;L;30,31;25661729/100000000,25532753/100000000;8,25661729,64860000,0,0,30422462,5858556;8,25532753,64949951,0,0,29800241,101439518
43;L;31,32;25532753/100000000,12656519/50000000;8,25532753,64949951,0,0,29800241,101439518;8,25313038,65110000,0,0,28693125,77734375
43;L;32,33;12656519/50000000,12497439/50000000;8,25313038,65110000,0,0,28693125,77734375;8,24994878,65360000,0,0,26963787,190618631
43;L;33,34;12497439/50000000,24864501/100000000;8,24994878,65360000,0,0,26963787,190618631;8,24864501,65470051,0,0,26202530,43656499
44;C;0,46;1381037/6250000;2,22,0,0,26,40,2124;2,22,0,0,30,46,1384
45;C;0,46;1381037/6250000;2,22,0,0,21,52,1255;2,22,0,0,30,46,1384
46;L;34,35;24864501/100000000,303301/1250000;8,24864501,26202530,0,0,65470051,43656499;8,24264080,26363645,0,0,64480805,8865950
46;L;35,36;303301/1250000,4643303/20000000;8,24264080,26363645,0,0,64480805,8865950;10,2321651500,2665145320,0,0,6271365856,723479484864
46;L;36,37;4643303/20000000,11100503/50000000;10,2321651500,2665145320,0,0,6271365856,723479484864;10,2220100600,2693926209,0,0,6094651212,184529819375
46;L;37,38;11100503/50000000,1381037/6250000;10,2220100600,2693926209,0,0,6094651212,184529819375;2,22,28,0,0,60,16
46;C;38,40;1381037/6250000;2,22,28,0,0,60,16;2,22,28,0,0,56,480
46;C;40,46;22351299/100000000;2,22,28,0,0,56,480;2,22,30,0,0,46,1384
47;C;0,2;19123751/50000000;2,38,0,0,17,60,3711;2,38,0,0,17,60,3711
48;C;0,10;36132121/100000000;2,36,0,0,8,60,3536;2,36,0,0,9,61,3398
49;C;0,2;19123751/50000000;2,38,0,0,60,18,3676;2,38,0,0,60,17,3711
50;C;0,10;36132121/100000000;2,36,0,0,8,60,3536;2,36,0,0,9,61,3398
51;C;2,31;25532753/100000000;2,25,60,0,0,17,1111;2,25,65,0,0,0,775
52;C;0,31;25532753/100000000;2,25,0,0,8,31,3975;2,25,0,0,9,34,3763
53;C;0,31;25532753/100000000;2,25,0,0,8,38,3492;2,25,0,0,9,34,3763
54;C;10,31;25532753/100000000;2,25,9,0,0,61,1198;2,25,9,0,0,34,3763
55;C;0,2;19123751/50000000;2,38,0,0,7,60,3951;2,38,0,0,7,60,3951
56;C;0,31;25532753/100000000;2,25,0,0,0,60,1400;2,25,0,0,0,65,775
57;C;0,2;19123751/50000000;2,38,0,0,60,8,3936;2,38,0,0,60,7,3951
58;C;0,31;25532753/100000000;2,25,0,0,60,0,1400;2,25,0,0,65,0,775
59;C;2,31;25532753/100000000;2,25,60,0,0,7,1351;2,25,65,0,0,0,775
60;C;0,31;25532753/100000000;2,25,0,0,0,60,1400;2,25,0,0,0,65,775
61;C;0,31;25532753/100000000;2,25,0,0,60,0,1400;2,25,0,0,65,0,775
62;C;0,2;19123751/50000000;2,38,0,0,26,60,3324;2,38,0,0,27,60,3271
63;C;0,10;36132121/100000000;2,36,0,0,19,60,3239;2,36,0,0,19,61,3118
64;C;0,2;19123751/50000000;2,38,0,0,60,27,3271;2,38,0,0,60,27,3271
65;C;0,10;36132121/100000000;2,36,0,0,17,60,3311;2,36,0,0,19,61,3118
66;C;2,10;36132121/100000000;2,36,60,0,0,27,2871;2,36,61,0,0,19,3118
67;C;0,31;25532753/100000000;2,25,0,0,21,31,3598;2,25,0,0,23,34,3315
68;C;0,31;25532753/100000000;2,25,0,0,17,38,3267;2,25,0,0,23,34,3315
69;C;10,31;25532753/100000000;2,25,19,0,0,61,918;2,25,23,0,0,34,3315
MASS SLACK NUMERATOR 592062034959054698328561768281859427864756590624562462770709028774233984361896527870628002666721374566998291941
BIN 17: PATH1; (69/56,87/70]; gamma0=1481/2500; mass ceiling=19825747/20000000.
GAMMA 0=1481/2500;1=5949/10000;2=93889530000/157493144567;3=2987/5000;4=5999/10000;5=753/1250;6=67629240000/111984061997;7=6049/10000;8=87054660000/143823404567;9=89332950000/147300075107;10=3037/5000;11=29228062500/48043526851;12=6099/10000;13=1531/2500;14=49283010000/80190045407;15=6149/10000;16=3087/5000;17=6199/10000;18=43527330000/70215451967;19=389/625;20=6249/10000;21=3137/5000;22=6299/10000;23=1581/2500;24=6349/10000;25=3187/5000;26=6399/10000;27=803/1250;28=6449/10000;29=3237/5000;30=6499/10000;31=37501852500/57622777021;32=1631/2500;33=64151850000/98017784567;34=6549/10000;35=3287/5000;36=6599/10000;37=414/625;38=6649/10000;39=3337/5000;40=6699/10000;41=1681/2500;42=6749/10000;43=3387/5000;44=6799/10000;45=853/1250;46=56117880000/81949844567;47=6849/10000;48=3437/5000;49=6899/10000;50=1731/2500;51=6949/10000;52=3487/5000;53=6999/10000;54=439/625;55=7049/10000;56=3537/5000;57=7099/10000;58=1781/2500;59=7149/10000;60=3587/5000;61=7199/10000;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38154593,38463950;1,2,38463950,38619099;2,3,38619099,37620780;3,4,37620780,36423948;4,5,36423948,36288576;5,6,36288576,36471749;6,7,36471749,36590401;7,8,36590401,36637423;8,9,36637423,36780482;9,10,36780482,36893476;10,11,36893476,37010956;11,12,37010956,37197801;12,13,37197801,37503376;13,14,37503376,37770570;14,15,37770570,37327346;15,16,37327346,34085344;16,17,34085344,31823481;17,18,31823481,31820270;18,19,31820270,31108455;19,20,31108455,30425171;20,21,30425171,29773630;21,22,29773630,29153833;22,23,29153833,28565777;23,24,28565777,28009465;24,25,28009465,27484895;25,26,27484895,26992069;26,27,26992069,26530984;27,28,26530984,26101643;28,29,26101643,25704045;29,30,25704045,25338189;30,31,25338189,25212021;31,32,25212021,25004076;32,33,25004076,24748892;33,34,24748892,24568521;34,35,24568521,23483005;35,36,23483005,22431079;36,37,22431079,22001403;37,38,22001403,22116163;38,39,22116163,22271138;39,40,22271138,22438301;40,41,22438301,22606088;41,42,22606088,22774501;42,43,22774501,22943538;43,44,22943538,23113201;44,45,23113201,23283488;45,46,23283488,23446405;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;135673721417/37771650000,1/3,157493144567/75543300000;-170294597103727
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;188/105,5/3,121/210;-18
10;6;1;-1
11;2,3,7;65/42,4/3,121/210;-19
14;6;1;-1
15;2,3,10;65/42,4/3,121/210;-19
17;2,3,5;33/35,11/3,121/210;-11
18;1,4,8;99308016167/25181100000,4/3,157493144567/75543300000;-107341847103727
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;65/42,4/3,121/210;-19
29;1,3,9;89/105,10/3,87/70;-89
30;1,4,11;99308016167/25181100000,4/3,157493144567/75543300000;-107341847103727
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;65/42,4/3,121/210;-19
41;1,3,12;89/105,10/3,87/70;-89
42;1,4,14;135673721417/37771650000,1/3,157493144567/75543300000;-170294597103727
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;65/42,4/3,121/210;-19
56;2,3,7;65/42,4/3,121/210;-19
58;2,3,10;65/42,4/3,121/210;-19
59;2,3,13;33/35,11/3,121/210;-11
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;293/105,5/3,26/35;-19
70;6;1;-1
72;1,4,6;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
74;6;1;-1
77;2,3,5;68/35,4,26/35;-2
78;1,4,8;140705744567/25181100000,1/3,157493144567/75543300000;-201770972103727
79;1,4,8;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;39981344567/12590550000,14/3,157493144567/75543300000;-12912722103727
84;1,4,8;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
86;8;1;-1
89;1,3,9;89/105,10/3,87/70;-89
90;1,4,11;140705744567/25181100000,1/3,157493144567/75543300000;-201770972103727
91;1,4,11;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;39981344567/12590550000,14/3,157493144567/75543300000;-12912722103727
96;1,4,11;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
98;11;1;-1
101;1,3,12;89/105,10/3,87/70;-89
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;46696304567/15108660000,11/3,157493144567/75543300000;-2420597103727
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;293/105,5/3,26/35;-19
119;2,3,13;68/35,4,26/35;-2
120;0,1,6;5/3,2,1;-1
121;1,4,6;21770123423/4721456250,5/3,157493144567/75543300000;-75865472103727
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;398/105,13/6,139/140;-19
130;6;1;-1
132;1,4,6;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
134;6;1;-1
137;2,3,5;103/35,5,139/140;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;54221256617/12590550000,11/3,157493144567/75543300000;-60127284603727
144;1,4,8;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
146;8;1;-1
149;1,3,9;89/105,10/3,87/70;-89
150;0,1,11;2/3,3,1;-2
151;1,4,11;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;54221256617/12590550000,11/3,157493144567/75543300000;-60127284603727
156;1,4,11;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
158;11;1;-1
161;1,3,12;89/105,10/3,87/70;-89
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;67364951447/15108660000,8/3,157493144567/75543300000;-65373347103727
169;14;1;-1
171;1,4,14;21770123423/4721456250,5/3,157493144567/75543300000;-75865472103727
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;398/105,13/6,139/140;-19
179;2,3,13;103/35,5,139/140;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;103353452739110,17636048178618843225000,466837113984465,8680
4;1,4,6,3;103353452739110,2743679151533412072540000,322172421256392,2758
5;5,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
12;1,4,6,3;103353452739110,2743679151533412072540000,322172421256392,2758
13;5,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
16;5,4,2,3;112864646385505,1274070331950174599400000,1014140533743330,7035
19;1,4,8,3;103353452739110,2743679151533412072540000,322172421256392,2758
22;1,4,8,3;103353452739110,1727516146405180080600000,112864646385505,2555
23;7,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
24;1,4,8,3;103353452739110,2743679151533412072540000,322172421256392,2758
25;7,4,2,3;466837113984465,180547719539127974775000,1014140533743330,3360
28;7,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
31;1,4,11,3;103353452739110,2743679151533412072540000,322172421256392,2758
34;1,4,11,3;103353452739110,1727516146405180080600000,112864646385505,2555
35;10,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
36;1,4,11,3;103353452739110,2743679151533412072540000,322172421256392,2758
37;10,4,2,3;466837113984465,180547719539127974775000,1014140533743330,3360
40;10,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
44;1,4,14,3;103353452739110,2743679151533412072540000,322172421256392,2758
48;1,4,14,3;103353452739110,2743679151533412072540000,322172421256392,2758
50;13,4,2,3;112864646385505,1274070331950174599400000,1014140533743330,7035
51;1,4,14,3;103353452739110,17636048178618843225000,466837113984465,8680
53;13,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
57;13,4,2,3;322172421256392,908880374801407139460000,1014140533743330,3486
61;1,4,6,3;103353452739110,701179799919510060450000,486589722808665,665
65;1,4,9,3;103353452739110,28217677085790149160000,1917126043090398,3472
71;7,4,2,3;1917126043090398,338446291627055951640000,662444306869555,469
73;1,4,12,3;103353452739110,28217677085790149160000,1917126043090398,3472
75;10,4,2,3;1917126043090398,338446291627055951640000,662444306869555,469
76;1,4,2,3;103353452739110,7133487718612500000000000,662444306869555,1225
83;1,4,2,3;103353452739110,7133487718612500000000000,662444306869555,1225
85;7,4,12,3;486589722808665,1022807877658679987910000,1917126043090398,4011
87;10,4,2,3;1917126043090398,338446291627055951640000,662444306869555,469
88;1,4,2,3;103353452739110,7133487718612500000000000,662444306869555,1225
95;1,4,2,3;103353452739110,7133487718612500000000000,662444306869555,1225
97;10,4,9,3;486589722808665,1022807877658679987910000,1917126043090398,4011
99;7,4,2,3;1917126043090398,338446291627055951640000,662444306869555,469
100;1,4,2,3;103353452739110,7133487718612500000000000,662444306869555,1225
110;1,4,2,3;103353452739110,7133487718612500000000000,662444306869555,1225
111;1,4,14,3;103353452739110,701179799919510060450000,486589722808665,665
113;1,4,9,3;103353452739110,28217677085790149160000,1917126043090398,3472
116;7,4,2,3;1917126043090398,338446291627055951640000,662444306869555,469
117;1,4,12,3;103353452739110,28217677085790149160000,1917126043090398,3472
118;10,4,2,3;1917126043090398,338446291627055951640000,662444306869555,469
125;1,4,9,3;103353452739110,560943839935608048360000,652801434583158,532
131;7,4,2,3;652801434583158,557571073233318709320000,1178141787465860,3346
133;1,4,12,3;103353452739110,560943839935608048360000,652801434583158,532
135;10,4,2,3;652801434583158,557571073233318709320000,1178141787465860,3346
136;1,4,2,3;103353452739110,1783371929653125000000000,1178141787465860,2450
143;1,4,2,3;103353452739110,1783371929653125000000000,1178141787465860,2450
145;1,4,12,3;103353452739110,560943839935608048360000,652801434583158,532
147;10,4,2,3;652801434583158,557571073233318709320000,1178141787465860,3346
148;1,4,2,3;103353452739110,1783371929653125000000000,1178141787465860,2450
155;1,4,2,3;103353452739110,1783371929653125000000000,1178141787465860,2450
157;1,4,9,3;103353452739110,560943839935608048360000,652801434583158,532
159;7,4,2,3;652801434583158,557571073233318709320000,1178141787465860,3346
160;1,4,2,3;103353452739110,1783371929653125000000000,1178141787465860,2450
170;1,4,2,3;103353452739110,1783371929653125000000000,1178141787465860,2450
173;1,4,9,3;103353452739110,560943839935608048360000,652801434583158,532
176;7,4,2,3;652801434583158,557571073233318709320000,1178141787465860,3346
177;1,4,12,3;103353452739110,560943839935608048360000,652801434583158,532
178;10,4,2,3;652801434583158,557571073233318709320000,1178141787465860,3346
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,3
57;136;E;4,1
58;136;E;4,2
59;136;E;4,3
60;143;V;2,3
61;143;E;4,2
62;145;V;3,1
63;145;V;12,3
64;145;E;4,1
65;145;E;4,12
66;145;E;4,3
67;147;V;2,3
68;147;E;4,2
69;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/2;V/6,3/1/0/14;E/4,1/2/0/2;E/4,6/3/0/14;E/4,3/4/2/14
4:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
5:V/3,5/6/0/11;V/2,3/10/0/18;E/4,5/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
12:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
13:V/3,5/6/0/11;V/2,3/10/0/18;E/4,5/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
16:V/3,5/13/0/6;V/2,3/14/0/18;E/4,5/15/0/6;E/4,2/16/0/18;E/4,3/17/6/18
19:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
22:V/3,1/5/0/2;V/8,3/13/0/6;E/4,1/7/0/2;E/4,8/15/0/6;E/4,3/9/2/6
23:V/3,7/6/0/11;V/2,3/10/0/18;E/4,7/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
24:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
25:V/3,7/1/0/14;V/2,3/18/0/18;E/4,7/3/0/14;E/4,2/19/0/18;E/4,3/20/14/18
28:V/3,7/6/0/11;V/2,3/10/0/18;E/4,7/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
31:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
34:V/3,1/5/0/2;V/11,3/13/0/6;E/4,1/7/0/2;E/4,11/15/0/6;E/4,3/9/2/6
35:V/3,10/6/0/11;V/2,3/10/0/18;E/4,10/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
36:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
37:V/3,10/1/0/14;V/2,3/18/0/18;E/4,10/3/0/14;E/4,2/19/0/18;E/4,3/20/14/18
40:V/3,10/6/0/11;V/2,3/10/0/18;E/4,10/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
44:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
48:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
50:V/3,13/13/0/6;V/2,3/14/0/18;E/4,13/15/0/6;E/4,2/16/0/18;E/4,3/17/6/18
51:V/3,1/0/0/2;V/14,3/1/0/14;E/4,1/2/0/2;E/4,14/3/0/14;E/4,3/4/2/14
53:V/3,13/6/0/11;V/2,3/10/0/18;E/4,13/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
57:V/3,13/6/0/11;V/2,3/10/0/18;E/4,13/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
61:V/3,1/21/0/2;V/6,3/22/0/8;E/4,1/23/0/2;E/4,6/24/0/8;E/4,3/25/2/8
65:V/3,1/26/0/2;V/9,3/27/0/33;E/4,1/28/0/2;E/4,9/29/0/33;E/4,3/30/2/33
71:V/3,7/27/0/33;V/2,3/31/0/46;E/4,7/29/0/33;E/4,2/32/0/46;E/4,3/33/33/46
73:V/3,1/26/0/2;V/12,3/27/0/33;E/4,1/28/0/2;E/4,12/29/0/33;E/4,3/30/2/33
75:V/3,10/27/0/33;V/2,3/31/0/46;E/4,10/29/0/33;E/4,2/32/0/46;E/4,3/33/33/46
76:V/3,1/34/0/2;V/2,3/35/0/46;E/4,1/36/0/2;E/4,2/37/0/46;E/4,3/38/2/46
83:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
85:V/3,7/22/0/8;V/12,3/41/0/33;E/4,7/24/0/8;E/4,12/42/0/33;E/4,3/43/8/33
87:V/3,10/41/0/33;V/2,3/44/0/46;E/4,10/42/0/33;E/4,2/45/0/46;E/4,3/46/33/46
88:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
95:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
97:V/3,10/22/0/8;V/9,3/41/0/33;E/4,10/24/0/8;E/4,9/42/0/33;E/4,3/43/8/33
99:V/3,7/41/0/33;V/2,3/44/0/46;E/4,7/42/0/33;E/4,2/45/0/46;E/4,3/46/33/46
100:V/3,1/26/0/2;V/2,3/39/0/46;E/4,1/28/0/2;E/4,2/40/0/46;E/4,3/30/2/46
110:V/3,1/34/0/2;V/2,3/35/0/46;E/4,1/36/0/2;E/4,2/37/0/46;E/4,3/38/2/46
111:V/3,1/21/0/2;V/14,3/22/0/8;E/4,1/23/0/2;E/4,14/24/0/8;E/4,3/25/2/8
113:V/3,1/26/0/2;V/9,3/27/0/33;E/4,1/28/0/2;E/4,9/29/0/33;E/4,3/30/2/33
116:V/3,7/27/0/33;V/2,3/31/0/46;E/4,7/29/0/33;E/4,2/32/0/46;E/4,3/33/33/46
117:V/3,1/26/0/2;V/12,3/27/0/33;E/4,1/28/0/2;E/4,12/29/0/33;E/4,3/30/2/33
118:V/3,10/27/0/33;V/2,3/31/0/46;E/4,10/29/0/33;E/4,2/32/0/46;E/4,3/33/33/46
125:V/3,1/47/0/2;V/9,3/48/0/9;E/4,1/49/0/2;E/4,9/50/0/9;E/4,3/51/2/9
131:V/3,7/48/0/9;V/2,3/52/0/31;E/4,7/50/0/9;E/4,2/53/0/31;E/4,3/54/9/31
133:V/3,1/47/0/2;V/12,3/48/0/9;E/4,1/49/0/2;E/4,12/50/0/9;E/4,3/51/2/9
135:V/3,10/48/0/9;V/2,3/52/0/31;E/4,10/50/0/9;E/4,2/53/0/31;E/4,3/54/9/31
136:V/3,1/55/0/2;V/2,3/56/0/31;E/4,1/57/0/2;E/4,2/58/0/31;E/4,3/59/2/31
143:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
145:V/3,1/62/0/2;V/12,3/63/0/9;E/4,1/64/0/2;E/4,12/65/0/9;E/4,3/66/2/9
147:V/3,10/63/0/9;V/2,3/67/0/31;E/4,10/65/0/9;E/4,2/68/0/31;E/4,3/69/9/31
148:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
155:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
157:V/3,1/62/0/2;V/9,3/63/0/9;E/4,1/64/0/2;E/4,9/65/0/9;E/4,3/66/2/9
159:V/3,7/63/0/9;V/2,3/67/0/31;E/4,7/65/0/9;E/4,2/68/0/31;E/4,3/69/9/31
160:V/3,1/47/0/2;V/2,3/60/0/31;E/4,1/49/0/2;E/4,2/61/0/31;E/4,3/51/2/31
170:V/3,1/55/0/2;V/2,3/56/0/31;E/4,1/57/0/2;E/4,2/58/0/31;E/4,3/59/2/31
173:V/3,1/47/0/2;V/9,3/48/0/9;E/4,1/49/0/2;E/4,9/50/0/9;E/4,3/51/2/9
176:V/3,7/48/0/9;V/2,3/52/0/31;E/4,7/50/0/9;E/4,2/53/0/31;E/4,3/54/9/31
177:V/3,1/47/0/2;V/12,3/48/0/9;E/4,1/49/0/2;E/4,12/50/0/9;E/4,3/51/2/9
178:V/3,10/48/0/9;V/2,3/52/0/31;E/4,10/50/0/9;E/4,2/53/0/31;E/4,3/54/9/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;38154593/100000000,769279/2000000;4,3815,0,2467,5924,5924,26359;4,3846,0,2477,5949,5949,3269
0;L;1,2;769279/2000000,38619099/100000000;4,3846,0,2477,5949,5949,3269;10,3861909900,0,2481782786,5961499484,5961499484,7649545692
1;C;0,3;1881039/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
1;C;3,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
1;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
1;L;6,7;36471749/100000000,36590401/100000000;8,36471749,0,0,60391844,60391844,156559328;8,36590401,0,0,60490000,60490000,0
1;L;7,8;36590401/100000000,36637423/100000000;8,36590401,0,0,60490000,60490000,0;8,36637423,0,0,60528855,60528855,24777950
1;L;8,9;36637423/100000000,18390241/50000000;8,36637423,0,0,60528855,60528855,24777950;10,3678048200,0,0,6064691409,6064691409,227203189438
1;L;9,10;18390241/50000000,9223369/25000000;10,3678048200,0,0,6064691409,6064691409,227203189438;8,36893476,0,0,60740000,60740000,0
1;L;10,11;9223369/25000000,9252739/25000000;8,36893476,0,0,60740000,60740000,0;8,37010956,0,0,60836630,60836630,100486200
1;L;11,12;9252739/25000000,37197801/100000000;8,37010956,0,0,60836630,60836630,100486200;8,37197801,0,0,60990000,60990000,0
1;L;12,13;37197801/100000000,2343961/6250000;8,37197801,0,0,60990000,60990000,0;8,37503376,0,0,61240000,61240000,0
1;L;13,14;2343961/6250000,3777057/10000000;8,37503376,0,0,61240000,61240000,0;10,3777057000,0,0,6145776543,6145776543,1367021938302
2;L;0,1;38154593/100000000,769279/2000000;10,3815459300,0,5924000000,5924000000,2474193605,4977103975;8,38463950,0,59490000,59490000,24792532,157028976
2;L;1,2;769279/2000000,38619099/100000000;8,38463950,0,59490000,59490000,24792532,157028976;10,3861909900,0,5961499484,5961499484,2481782786,7649545692
3;C;0,3;1881039/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
3;C;3,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
3;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
3;L;6,7;36471749/100000000,36590401/100000000;8,36471749,0,0,60391844,60391844,156559328;8,36590401,0,0,60490000,60490000,0
3;L;7,8;36590401/100000000,36637423/100000000;8,36590401,0,0,60490000,60490000,0;8,36637423,0,0,60528855,60528855,24777950
3;L;8,9;36637423/100000000,18390241/50000000;8,36637423,0,0,60528855,60528855,24777950;10,3678048200,0,0,6064691409,6064691409,227203189438
3;L;9,10;18390241/50000000,9223369/25000000;10,3678048200,0,0,6064691409,6064691409,227203189438;8,36893476,0,0,60740000,60740000,0
3;L;10,11;9223369/25000000,9252739/25000000;8,36893476,0,0,60740000,60740000,0;8,37010956,0,0,60836630,60836630,100486200
3;L;11,12;9252739/25000000,37197801/100000000;8,37010956,0,0,60836630,60836630,100486200;8,37197801,0,0,60990000,60990000,0
3;L;12,13;37197801/100000000,2343961/6250000;8,37197801,0,0,60990000,60990000,0;8,37503376,0,0,61240000,61240000,0
3;L;13,14;2343961/6250000,3777057/10000000;8,37503376,0,0,61240000,61240000,0;10,3777057000,0,0,6145776543,6145776543,1367021938302
4;L;2,3;38619099/100000000,1881039/5000000;10,3861909900,5961499484,5961499484,0,2481782786,7649545692;8,37620780,59740000,59740000,0,19657585,151967775
4;L;3,4;1881039/5000000,9105987/25000000;8,37620780,59740000,59740000,0,19657585,151967775;8,36423948,59990000,59990000,0,9337524,45549424
4;L;4,5;9105987/25000000,567009/1562500;8,36423948,59990000,59990000,0,9337524,45549424;8,36288576,60240000,60240000,0,0,0
4;L;5,6;567009/1562500,36471749/100000000;8,36288576,60240000,60240000,0,0,0;8,36471749,60391844,60391844,0,0,156559328
4;L;6,7;36471749/100000000,36590401/100000000;8,36471749,60391844,60391844,0,0,156559328;8,36590401,60490000,60490000,0,0,0
4;L;7,8;36590401/100000000,36637423/100000000;8,36590401,60490000,60490000,0,0,0;8,36637423,60528855,60528855,0,0,24777950
4;L;8,9;36637423/100000000,18390241/50000000;8,36637423,60528855,60528855,0,0,24777950;10,3678048200,6064691409,6064691409,0,0,227203189438
4;L;9,10;18390241/50000000,9223369/25000000;10,3678048200,6064691409,6064691409,0,0,227203189438;8,36893476,60740000,60740000,0,0,0
4;L;10,11;9223369/25000000,9252739/25000000;8,36893476,60740000,60740000,0,0,0;8,37010956,60836630,60836630,0,0,100486200
4;L;11,12;9252739/25000000,37197801/100000000;8,37010956,60836630,60836630,0,0,100486200;8,37197801,60990000,60990000,0,0,0
4;L;12,13;37197801/100000000,2343961/6250000;8,37197801,60990000,60990000,0,0,0;8,37503376,61240000,61240000,0,0,0
4;L;13,14;2343961/6250000,3777057/10000000;8,37503376,61240000,61240000,0,0,0;10,3777057000,6145776543,6145776543,0,0,1367021938302
5;C;0,2;38154593/100000000;2,38,0,16,60,60,144;2,38,0,16,60,60,144
6;C;0,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
6;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
6;L;6,7;36471749/100000000,36590401/100000000;8,36471749,0,0,60391844,60391844,156559328;8,36590401,0,0,60490000,60490000,0
6;L;7,8;36590401/100000000,36637423/100000000;8,36590401,0,0,60490000,60490000,0;8,36637423,0,0,60528855,60528855,24777950
6;L;8,9;36637423/100000000,18390241/50000000;8,36637423,0,0,60528855,60528855,24777950;10,3678048200,0,0,6064691409,6064691409,227203189438
6;L;9,10;18390241/50000000,9223369/25000000;10,3678048200,0,0,6064691409,6064691409,227203189438;8,36893476,0,0,60740000,60740000,0
6;L;10,11;9223369/25000000,9252739/25000000;8,36893476,0,0,60740000,60740000,0;8,37010956,0,0,60836630,60836630,100486200
7;C;0,2;38154593/100000000;2,38,0,60,60,16,144;2,38,0,60,60,16,144
8;C;0,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
8;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
8;L;6,7;36471749/100000000,36590401/100000000;8,36471749,0,0,60391844,60391844,156559328;8,36590401,0,0,60490000,60490000,0
8;L;7,8;36590401/100000000,36637423/100000000;8,36590401,0,0,60490000,60490000,0;8,36637423,0,0,60528855,60528855,24777950
8;L;8,9;36637423/100000000,18390241/50000000;8,36637423,0,0,60528855,60528855,24777950;10,3678048200,0,0,6064691409,6064691409,227203189438
8;L;9,10;18390241/50000000,9223369/25000000;10,3678048200,0,0,6064691409,6064691409,227203189438;8,36893476,0,0,60740000,60740000,0
8;L;10,11;9223369/25000000,9252739/25000000;8,36893476,0,0,60740000,60740000,0;8,37010956,0,0,60836630,60836630,100486200
9;C;2,3;1881039/5000000;4,3762,5962,5962,0,1553,1737303;2,37,60,60,0,10,100
9;C;3,4;9105987/25000000;4,3642,5974,5974,0,976,510072;2,36,60,60,0,0,0
9;C;4,5;567009/1562500;2,36,60,60,0,0,0;8,36288576,60240000,60240000,0,0,0
9;L;5,6;567009/1562500,36471749/100000000;8,36288576,60240000,60240000,0,0,0;8,36471749,60391844,60391844,0,0,156559328
9;L;6,7;36471749/100000000,36590401/100000000;8,36471749,60391844,60391844,0,0,156559328;8,36590401,60490000,60490000,0,0,0
9;L;7,8;36590401/100000000,36637423/100000000;8,36590401,60490000,60490000,0,0,0;8,36637423,60528855,60528855,0,0,24777950
9;L;8,9;36637423/100000000,18390241/50000000;8,36637423,60528855,60528855,0,0,24777950;10,3678048200,6064691409,6064691409,0,0,227203189438
9;L;9,10;18390241/50000000,9223369/25000000;10,3678048200,6064691409,6064691409,0,0,227203189438;8,36893476,60740000,60740000,0,0,0
9;L;10,11;9223369/25000000,9252739/25000000;8,36893476,60740000,60740000,0,0,0;8,37010956,60836630,60836630,0,0,100486200
10;C;0,18;3182027/10000000;2,31,0,0,27,60,1871;2,31,0,0,29,62,1515
11;C;0,18;3182027/10000000;2,31,0,0,60,32,1576;2,31,0,0,62,29,1515
12;C;11,14;9252739/25000000;8,37010956,60836630,0,0,60836630,100486200;2,37,62,0,0,44,1620
12;C;14,18;3182027/10000000;2,31,62,0,0,44,420;2,31,62,0,0,29,1515
13;C;0,3;1881039/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
13;C;3,4;9105987/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
13;C;4,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
13;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
14;C;0,18;3182027/10000000;2,31,0,0,7,60,2551;2,31,0,0,8,62,2292
15;C;0,3;1881039/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
15;C;3,4;9105987/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
15;C;4,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
15;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
16;C;0,18;3182027/10000000;2,31,0,0,60,14,2404;2,31,0,0,62,8,2292
17;C;6,12;36471749/100000000;8,36471749,60391844,0,0,60391844,156559328;2,36,61,0,0,41,1798
17;C;12,18;3182027/10000000;2,31,61,0,0,41,798;2,31,62,0,0,8,2292
18;C;0,18;3182027/10000000;2,31,0,0,47,60,391;4,3182,0,0,4892,6200,1268336
19;C;0,18;3182027/10000000;4,3182,0,0,5924,5056,2983088;4,3182,0,0,6200,4892,1268336
20;L;14,15;3777057/10000000,18663673/50000000;10,3777057000,6145776543,0,0,6145776543,1367021938302;8,37327346,61490000,0,0,60699662,133085756
20;L;15,16;18663673/50000000,1065167/3125000;8,37327346,61490000,0,0,60699662,133085756;8,34085344,61740000,0,0,54820079,138433759
20;L;16,17;1065167/3125000,31823481/100000000;8,34085344,61740000,0,0,54820079,138433759;4,3182,6199,0,0,4895,1251374
20;C;17,18;3182027/10000000;4,3182,6199,0,0,4895,1251374;4,3182,6200,0,0,4892,1268336
21;C;0,2;38154593/100000000;2,38,0,0,60,60,400;2,38,0,0,60,60,400
22;C;0,4;9105987/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
22;C;4,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
22;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
22;L;6,7;36471749/100000000,36590401/100000000;8,36471749,0,0,60391844,60391844,156559328;8,36590401,0,0,60490000,60490000,0
22;L;7,8;36590401/100000000,36637423/100000000;8,36590401,0,0,60490000,60490000,0;8,36637423,0,0,60528855,60528855,24777950
23;C;0,2;38154593/100000000;2,38,0,0,60,60,400;2,38,0,0,60,60,400
24;C;0,4;9105987/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
24;C;4,5;567009/1562500;2,36,0,0,60,60,0;8,36288576,0,0,60240000,60240000,0
24;L;5,6;567009/1562500,36471749/100000000;8,36288576,0,0,60240000,60240000,0;8,36471749,0,0,60391844,60391844,156559328
24;L;6,7;36471749/100000000,36590401/100000000;8,36471749,0,0,60391844,60391844,156559328;8,36590401,0,0,60490000,60490000,0
24;L;7,8;36590401/100000000,36637423/100000000;8,36590401,0,0,60490000,60490000,0;8,36637423,0,0,60528855,60528855,24777950
25;C;2,5;567009/1562500;2,36,60,60,0,0,0;8,36288576,60240000,60240000,0,0,0
25;L;5,6;567009/1562500,36471749/100000000;8,36288576,60240000,60240000,0,0,0;8,36471749,60391844,60391844,0,0,156559328
25;L;6,7;36471749/100000000,36590401/100000000;8,36471749,60391844,60391844,0,0,156559328;8,36590401,60490000,60490000,0,0,0
25;L;7,8;36590401/100000000,36637423/100000000;8,36590401,60490000,60490000,0,0,0;8,36637423,60528855,60528855,0,0,24777950
26;C;0,2;38154593/100000000;2,38,0,0,57,60,751;2,38,0,0,58,60,636
27;C;0,33;6187223/25000000;2,24,0,0,9,60,1119;2,24,0,0,10,66,344
28;C;0,2;38154593/100000000;2,38,0,0,60,58,636;2,38,0,0,60,58,636
29;C;0,33;6187223/25000000;2,24,0,0,9,60,1119;2,24,0,0,10,66,344
30;C;2,13;567009/1562500;2,36,60,0,0,58,236;2,36,62,0,0,44,1420
30;C;13,18;3182027/10000000;2,31,62,0,0,44,420;2,31,62,0,0,38,912
30;C;18,24;5601893/20000000;2,28,62,0,0,38,312;2,28,64,0,0,26,828
30;C;24,35;4696601/20000000;4,2348,6349,0,0,2578,4115;2,23,66,0,0,8,180
30;C;35,37;22001403/100000000;4,2200,6574,0,0,759,206443;8,22001403,66240000,0,0,3541588,154438256
30;L;37,38;22001403/100000000,22116163/100000000;8,22001403,66240000,0,0,3541588,154438256;8,22116163,66490000,0,0,1520654,111412284
30;L;38,39;22116163/100000000,11135569/50000000;8,22116163,66490000,0,0,1520654,111412284;8,22271138,66740000,0,0,0,0
30;L;39,40;11135569/50000000,22438301/100000000;8,22271138,66740000,0,0,0,0;8,22438301,66990000,0,0,0,100000000
30;L;40,41;22438301/100000000,2825761/12500000;8,22438301,66990000,0,0,0,100000000;8,22606088,67240000,0,0,0,0
30;L;41,42;2825761/12500000,22774501/100000000;8,22606088,67240000,0,0,0,0;8,22774501,67490000,0,0,0,100000000
30;L;42,43;22774501/100000000,11471769/50000000;8,22774501,67490000,0,0,0,100000000;8,22943538,67740000,0,0,0,0
30;L;43,44;11471769/50000000,23113201/100000000;8,22943538,67740000,0,0,0,0;8,23113201,67990000,0,0,0,100000000
30;L;44,45;23113201/100000000,727609/3125000;8,23113201,67990000,0,0,0,100000000;8,23283488,68240000,0,0,0,0
30;L;45,46;727609/3125000,4689281/20000000;8,23283488,68240000,0,0,0,0;8,23446405,68478324,0,0,0,142151024
31;C;0,46;22001403/100000000;2,22,0,0,9,38,2875;2,22,0,0,11,44,2343
32;C;0,46;22001403/100000000;2,22,0,0,9,50,1819;2,22,0,0,11,44,2343
33;C;33,46;22001403/100000000;4,2200,994,0,0,6545,174939;2,22,11,0,0,44,2343
34;C;0,2;38154593/100000000;2,38,0,0,47,60,1791;2,38,0,0,48,60,1696
35;C;0,23;28565777/100000000;2,28,0,0,0,60,2000;2,28,0,0,0,64,1504
35;C;23,34;24568521/100000000;2,24,0,0,0,64,704;2,24,0,0,0,66,444
35;C;34,37;22001403/100000000;2,22,0,0,0,66,44;4,2200,0,0,0,6624,122624
35;L;37,38;22001403/100000000,22116163/100000000;4,2200,0,0,0,6624,122624;4,2211,0,0,0,6649,10799
35;L;38,39;22116163/100000000,11135569/50000000;4,2211,0,0,0,6649,10799;8,22271138,0,0,0,66740000,0
35;L;39,40;11135569/50000000,22438301/100000000;8,22271138,0,0,0,66740000,0;8,22438301,0,0,0,66990000,100000000
35;L;40,41;22438301/100000000,2825761/12500000;8,22438301,0,0,0,66990000,100000000;8,22606088,0,0,0,67240000,0
35;L;41,42;2825761/12500000,22774501/100000000;8,22606088,0,0,0,67240000,0;8,22774501,0,0,0,67490000,100000000
35;L;42,43;22774501/100000000,11471769/50000000;8,22774501,0,0,0,67490000,100000000;8,22943538,0,0,0,67740000,0
35;L;43,44;11471769/50000000,23113201/100000000;8,22943538,0,0,0,67740000,0;8,23113201,0,0,0,67990000,100000000
35;L;44,45;23113201/100000000,727609/3125000;8,23113201,0,0,0,67990000,100000000;8,23283488,0,0,0,68240000,0
35;L;45,46;727609/3125000,4689281/20000000;8,23283488,0,0,0,68240000,0;8,23446405,0,0,0,68478324,142151024
36;C;0,2;38154593/100000000;2,38,0,0,60,49,1599;2,38,0,0,60,48,1696
37;C;0,23;28565777/100000000;2,28,0,0,60,0,2000;2,28,0,0,64,0,1504
37;C;23,34;24568521/100000000;2,24,0,0,64,0,704;2,24,0,0,66,0,444
37;C;34,37;22001403/100000000;2,22,0,0,66,0,44;4,2200,0,0,6624,0,122624
37;L;37,38;22001403/100000000,22116163/100000000;4,2200,0,0,6624,0,122624;4,2211,0,0,6649,0,10799
37;L;38,39;22116163/100000000,11135569/50000000;4,2211,0,0,6649,0,10799;8,22271138,0,0,66740000,0,0
37;L;39,40;11135569/50000000,22438301/100000000;8,22271138,0,0,66740000,0,0;8,22438301,0,0,66990000,0,100000000
37;L;40,41;22438301/100000000,2825761/12500000;8,22438301,0,0,66990000,0,100000000;8,22606088,0,0,67240000,0,0
37;L;41,42;2825761/12500000,22774501/100000000;8,22606088,0,0,67240000,0,0;8,22774501,0,0,67490000,0,100000000
37;L;42,43;22774501/100000000,11471769/50000000;8,22774501,0,0,67490000,0,100000000;8,22943538,0,0,67740000,0,0
37;L;43,44;11471769/50000000,23113201/100000000;8,22943538,0,0,67740000,0,0;8,23113201,0,0,67990000,0,100000000
37;L;44,45;23113201/100000000,727609/3125000;8,23113201,0,0,67990000,0,100000000;8,23283488,0,0,68240000,0,0
37;L;45,46;727609/3125000,4689281/20000000;8,23283488,0,0,68240000,0,0;8,23446405,0,0,68478324,0,142151024
38;C;2,13;567009/1562500;2,36,60,0,0,48,1296;2,36,62,0,0,33,2267
38;C;13,24;5601893/20000000;2,28,62,0,0,33,667;2,28,64,0,0,12,1360
38;C;24,35;4696601/20000000;2,23,64,0,0,12,360;2,23,66,0,0,0,244
38;C;35,37;22001403/100000000;2,22,66,0,0,0,44;4,2200,6624,0,0,0,122624
38;L;37,38;22001403/100000000,22116163/100000000;4,2200,6624,0,0,0,122624;4,2211,6649,0,0,0,10799
38;L;38,39;22116163/100000000,11135569/50000000;4,2211,6649,0,0,0,10799;8,22271138,66740000,0,0,0,0
38;L;39,40;11135569/50000000,22438301/100000000;8,22271138,66740000,0,0,0,0;8,22438301,66990000,0,0,0,100000000
38;L;40,41;22438301/100000000,2825761/12500000;8,22438301,66990000,0,0,0,100000000;8,22606088,67240000,0,0,0,0
38;L;41,42;2825761/12500000,22774501/100000000;8,22606088,67240000,0,0,0,0;8,22774501,67490000,0,0,0,100000000
38;L;42,43;22774501/100000000,11471769/50000000;8,22774501,67490000,0,0,0,100000000;8,22943538,67740000,0,0,0,0
38;L;43,44;11471769/50000000,23113201/100000000;8,22943538,67740000,0,0,0,0;8,23113201,67990000,0,0,0,100000000
38;L;44,45;23113201/100000000,727609/3125000;8,23113201,67990000,0,0,0,100000000;8,23283488,68240000,0,0,0,0
38;L;45,46;727609/3125000,4689281/20000000;8,23283488,68240000,0,0,0,0;8,23446405,68478324,0,0,0,142151024
39;C;0,23;28565777/100000000;2,28,0,0,0,60,2000;2,28,0,0,0,64,1504
39;C;23,34;24568521/100000000;2,24,0,0,0,64,704;2,24,0,0,0,66,444
39;C;34,37;22001403/100000000;2,22,0,0,0,66,44;4,2200,0,0,0,6624,122624
39;L;37,38;22001403/100000000,22116163/100000000;4,2200,0,0,0,6624,122624;4,2211,0,0,0,6649,10799
39;L;38,39;22116163/100000000,11135569/50000000;4,2211,0,0,0,6649,10799;8,22271138,0,0,0,66740000,0
39;L;39,40;11135569/50000000,22438301/100000000;8,22271138,0,0,0,66740000,0;8,22438301,0,0,0,66990000,100000000
39;L;40,41;22438301/100000000,2825761/12500000;8,22438301,0,0,0,66990000,100000000;8,22606088,0,0,0,67240000,0
39;L;41,42;2825761/12500000,22774501/100000000;8,22606088,0,0,0,67240000,0;8,22774501,0,0,0,67490000,100000000
39;L;42,43;22774501/100000000,11471769/50000000;8,22774501,0,0,0,67490000,100000000;8,22943538,0,0,0,67740000,0
39;L;43,44;11471769/50000000,23113201/100000000;8,22943538,0,0,0,67740000,0;8,23113201,0,0,0,67990000,100000000
39;L;44,45;23113201/100000000,727609/3125000;8,23113201,0,0,0,67990000,100000000;8,23283488,0,0,0,68240000,0
39;L;45,46;727609/3125000,4689281/20000000;8,23283488,0,0,0,68240000,0;8,23446405,0,0,0,68478324,142151024
40;C;0,23;28565777/100000000;2,28,0,0,60,0,2000;2,28,0,0,64,0,1504
40;C;23,34;24568521/100000000;2,24,0,0,64,0,704;2,24,0,0,66,0,444
40;C;34,37;22001403/100000000;2,22,0,0,66,0,44;4,2200,0,0,6624,0,122624
40;L;37,38;22001403/100000000,22116163/100000000;4,2200,0,0,6624,0,122624;4,2211,0,0,6649,0,10799
40;L;38,39;22116163/100000000,11135569/50000000;4,2211,0,0,6649,0,10799;8,22271138,0,0,66740000,0,0
40;L;39,40;11135569/50000000,22438301/100000000;8,22271138,0,0,66740000,0,0;8,22438301,0,0,66990000,0,100000000
40;L;40,41;22438301/100000000,2825761/12500000;8,22438301,0,0,66990000,0,100000000;8,22606088,0,0,67240000,0,0
40;L;41,42;2825761/12500000,22774501/100000000;8,22606088,0,0,67240000,0,0;8,22774501,0,0,67490000,0,100000000
40;L;42,43;22774501/100000000,11471769/50000000;8,22774501,0,0,67490000,0,100000000;8,22943538,0,0,67740000,0,0
40;L;43,44;11471769/50000000,23113201/100000000;8,22943538,0,0,67740000,0,0;8,23113201,0,0,67990000,0,100000000
40;L;44,45;23113201/100000000,727609/3125000;8,23113201,0,0,67990000,0,100000000;8,23283488,0,0,68240000,0,0
40;L;45,46;727609/3125000,4689281/20000000;8,23283488,0,0,68240000,0,0;8,23446405,0,0,68478324,0,142151024
41;C;0,33;6187223/25000000;2,24,0,0,24,60,624;10,2474889200,0,0,2581048824,6544919403,976362340615
42;C;0,33;6187223/25000000;2,24,0,0,20,60,800;10,2474889200,0,0,2581048824,6544919403,976362340615
43;C;8,14;36637423/100000000;8,36637423,60528855,0,0,60528855,24777950;2,36,62,0,0,54,440
43;C;14,15;18663673/50000000;2,37,62,0,0,54,640;2,37,62,0,0,54,640
43;C;15,16;1065167/3125000;2,34,62,0,0,54,40;2,34,62,0,0,52,252
43;L;16,17;1065167/3125000,31823481/100000000;2,34,62,0,0,52,252;8,31823481,61990000,0,0,50218881,91107839
43;L;17,18;31823481/100000000,3182027/10000000;8,31823481,61990000,0,0,50218881,91107839;8,31820270,61991099,0,0,50211130,68895299
43;L;18,19;3182027/10000000,6221691/20000000;8,31820270,61991099,0,0,50211130,68895299;8,31108455,62240000,0,0,48454858,136199836
43;L;19,20;6221691/20000000,30425171/100000000;8,31108455,62240000,0,0,48454858,136199836;8,30425171,62490000,0,0,46690835,27002775
43;L;20,21;30425171/100000000,2977363/10000000;8,30425171,62490000,0,0,46690835,27002775;10,2977363000,6274000000,0,0,4492681157,21537141351
43;L;21,22;2977363/10000000,29153833/100000000;10,2977363000,6274000000,0,0,4492681157,21537141351;8,29153833,62990000,0,0,43162789,145741479
43;L;22,23;29153833/100000000,28565777/100000000;8,29153833,62990000,0,0,43162789,145741479;10,2856577700,6324000000,0,0,4139876537,258396887631
43;L;23,24;28565777/100000000,5601893/20000000;10,2856577700,6324000000,0,0,4139876537,258396887631;8,28009465,63490000,0,0,39634743,47323951
43;L;24,25;5601893/20000000,5496979/20000000;8,28009465,63490000,0,0,39634743,47323951;10,2748489500,6374000000,0,0,3787071918,287895801276
43;L;25,26;5496979/20000000,26992069/100000000;10,2748489500,6374000000,0,0,3787071918,287895801276;8,26992069,63990000,0,0,36106697,131750191
43;L;26,27;26992069/100000000,3316373/12500000;8,26992069,63990000,0,0,36106697,131750191;8,26530984,64240000,0,0,34342673,11215071
43;L;27,28;3316373/12500000,26101643/100000000;8,26530984,64240000,0,0,34342673,11215071;8,26101643,64490000,0,0,32578650,64177500
43;L;28,29;26101643/100000000,5140809/20000000;8,26101643,64490000,0,0,32578650,64177500;8,25704045,64740000,0,0,30814627,162850871
43;L;29,30;5140809/20000000,25338189/100000000;8,25704045,64740000,0,0,30814627,162850871;8,25338189,64990000,0,0,29050604,107235184
43;L;30,31;25338189/100000000,25212021/100000000;8,25338189,64990000,0,0,29050604,107235184;10,2521202100,6508164730,0,0,2840393195,344981719075
43;L;31,32;25212021/100000000,6251019/25000000;10,2521202100,6508164730,0,0,2840393195,344981719075;8,25004076,65240000,0,0,27286581,97330439
43;L;32,33;6251019/25000000,6187223/25000000;8,25004076,65240000,0,0,27286581,97330439;10,2474889200,6544919403,0,0,2581048824,976362340615
44;C;0,46;22001403/100000000;2,22,0,0,26,38,2280;2,22,0,0,30,44,1564
45;C;0,46;22001403/100000000;2,22,0,0,21,50,1459;2,22,0,0,30,44,1564
46;L;33,34;6187223/25000000,24568521/100000000;10,2474889200,2581048824,0,0,6544919403,976362340615;8,24568521,25858616,0,0,65153942,20425180
46;L;34,35;24568521/100000000,4696601/20000000;8,24568521,25858616,0,0,65153942,20425180;10,2348300500,2615347277,0,0,6334506165,266265678046
46;L;35,36;4696601/20000000,22431079/100000000;10,2348300500,2615347277,0,0,6334506165,266265678046;10,2243107900,2644832961,0,0,6153618170,26253823579
46;L;36,37;22431079/100000000,22001403/100000000;10,2243107900,2644832961,0,0,6153618170,26253823579;2,22,27,0,0,60,71
46;C;37,39;22001403/100000000;2,22,27,0,0,60,71;2,22,28,0,0,57,367
46;C;39,46;11135569/50000000;2,22,28,0,0,57,367;2,22,30,0,0,44,1564
47;C;0,2;38154593/100000000;2,38,0,0,15,60,3775;2,38,0,0,15,60,3775
48;C;0,9;567009/1562500;2,36,0,0,8,60,3536;2,36,0,0,8,61,3415
49;C;0,2;38154593/100000000;2,38,0,0,60,16,3744;2,38,0,0,60,15,3775
50;C;0,9;567009/1562500;2,36,0,0,8,60,3536;2,36,0,0,8,61,3415
51;C;2,31;25212021/100000000;2,25,60,0,0,15,1175;2,25,66,0,0,0,644
52;C;0,31;25212021/100000000;2,25,0,0,8,30,4036;2,25,0,0,8,33,3847
53;C;0,31;25212021/100000000;2,25,0,0,8,37,3567;2,25,0,0,8,33,3847
54;C;9,31;25212021/100000000;2,25,8,0,0,61,1215;2,25,8,0,0,33,3847
55;C;0,2;38154593/100000000;2,38,0,0,5,60,3975;2,38,0,0,5,60,3975
56;C;0,31;25212021/100000000;2,25,0,0,0,60,1400;2,25,0,0,0,66,644
57;C;0,2;38154593/100000000;2,38,0,0,60,6,3964;2,38,0,0,60,5,3975
58;C;0,31;25212021/100000000;2,25,0,0,60,0,1400;2,25,0,0,66,0,644
59;C;2,31;25212021/100000000;2,25,60,0,0,5,1375;2,25,66,0,0,0,644
60;C;0,31;25212021/100000000;2,25,0,0,0,60,1400;2,25,0,0,0,66,644
61;C;0,31;25212021/100000000;2,25,0,0,60,0,1400;2,25,0,0,66,0,644
62;C;0,2;38154593/100000000;2,38,0,0,25,60,3375;2,38,0,0,26,60,3324
63;C;0,9;567009/1562500;2,36,0,0,18,60,3276;2,36,0,0,19,61,3118
64;C;0,2;38154593/100000000;2,38,0,0,60,26,3324;2,38,0,0,60,26,3324
65;C;0,9;567009/1562500;2,36,0,0,17,60,3311;2,36,0,0,19,61,3118
66;C;2,9;567009/1562500;2,36,60,0,0,26,2924;2,36,61,0,0,19,3118
67;C;0,31;25212021/100000000;2,25,0,0,20,30,3700;2,25,0,0,22,33,3427
68;C;0,31;25212021/100000000;2,25,0,0,17,37,3342;2,25,0,0,22,33,3427
69;C;9,31;25212021/100000000;2,25,19,0,0,61,918;2,25,22,0,0,33,3427
MASS SLACK NUMERATOR 14538994887060724882795351946522792113042717706213017130072795530381248890452737170672678764418799921953240442927
BIN 18: PATH1; (87/70,351/280]; gamma0=5937/10000; mass ceiling=19925153/20000000.
GAMMA 0=5937/10000;1=2981/5000;2=94698922500/158505644567;3=5987/10000;4=1503/2500;5=6037/10000;6=35028708750/57900958201;7=88673445000/146454689567;8=3031/5000;9=45340968750/74759824561;10=6087/10000;11=241918425000/396814278023;12=382/625;13=6137/10000;14=3081/5000;15=101803590000/165210445219;16=6187/10000;17=1553/2500;18=44336722500/71227951967;19=6237/10000;20=3131/5000;21=6287/10000;22=789/1250;23=6337/10000;24=3181/5000;25=6387/10000;26=1603/2500;27=6437/10000;28=3231/5000;29=6487/10000;30=37771650000/58129027021;31=152525520000/234527898109;32=407/625;33=37906548750/58129027021;34=6537/10000;35=65500837500/100109474567;36=3281/5000;37=6587/10000;38=1653/2500;39=6637/10000;40=3331/5000;41=6687/10000;42=839/1250;43=6737/10000;44=3381/5000;45=6787/10000;46=1703/2500;47=6837/10000;48=56927272500/82962344567;49=3431/5000;50=6887/10000;51=432/625;52=6937/10000;53=3481/5000;54=6987/10000;55=1753/2500;56=7037/10000;57=3531/5000;58=7087/10000;59=889/1250;60=7137/10000;61=3581/5000;62=7187/10000;63=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38069468,38377700;1,2,38377700,38532077;2,3,38532077,37620298;3,4,37620298,36541124;4,5,36541124,36445369;5,6,36445369,36599636;6,7,36599636,36658999;7,8,36658999,36747844;8,9,36747844,36782822;9,10,36782822,37051569;10,11,37051569,37167497;11,12,37167497,37356544;12,13,37356544,37662769;13,14,37662769,37970244;14,15,37970244,37970926;15,16,37970926,34735967;16,17,34735967,31828484;17,18,31828484,31046375;18,19,31046375,30697208;19,20,30697208,30016526;20,21,30016526,29368822;21,22,29368822,28754097;22,23,28754097,28172351;23,24,28172351,27623584;24,25,27623584,27107795;25,26,27107795,26624986;26,27,26624986,26175155;27,28,26175155,25758303;28,29,25758303,25374429;29,30,25374429,25217410;30,31,25217410,25138961;31,32,25138961,25023535;32,33,25023535,24903932;33,34,24903932,24705619;34,35,24705619,24635155;35,36,24635155,23779887;36,37,23779887,22690193;37,38,22690193,21909489;38,39,21909489,22030962;39,40,22030962,22191122;40,41,22191122,22357985;41,42,22357985,22525472;42,43,22525472,22693585;43,44,22693585,22862322;44,45,22862322,23031685;45,46,23031685,23201672;46,47,23201672,23372285;47,48,23372285,23542291;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;136686221417/37771650000,1/3,158505644567/75543300000;-229745670598093
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;779/420,5/3,493/840;-69
10;6;1;-1
11;2,3,7;269/168,4/3,493/840;-67
14;6;1;-1
15;2,3,10;269/168,4/3,493/840;-67
17;2,3,5;36/35,11/3,493/840;-41
18;1,4,8;100320516167/25181100000,4/3,158505644567/75543300000;-145808670598093
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;269/168,4/3,493/840;-67
29;1,3,9;347/420,10/3,351/280;-347
30;1,4,11;100320516167/25181100000,4/3,158505644567/75543300000;-145808670598093
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;269/168,4/3,493/840;-67
41;1,3,12;347/420,10/3,351/280;-347
42;1,4,14;136686221417/37771650000,1/3,158505644567/75543300000;-229745670598093
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;269/168,4/3,493/840;-67
56;2,3,7;269/168,4/3,493/840;-67
58;2,3,10;269/168,4/3,493/840;-67
59;2,3,13;36/35,11/3,493/840;-41
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;1199/420,5/3,211/280;-67
70;6;1;-1
72;1,4,6;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
74;6;1;-1
77;2,3,5;71/35,4,211/280;-13
78;1,4,8;141718244567/25181100000,1/3,158505644567/75543300000;-271714170598093
79;1,4,8;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;40993844567/12590550000,14/3,158505644567/75543300000;-19903170598093
84;1,4,8;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
86;8;1;-1
89;1,3,9;347/420,10/3,351/280;-347
90;1,4,11;141718244567/25181100000,1/3,158505644567/75543300000;-271714170598093
91;1,4,11;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;40993844567/12590550000,14/3,158505644567/75543300000;-19903170598093
96;1,4,11;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
98;11;1;-1
101;1,3,12;347/420,10/3,351/280;-347
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;47708804567/15108660000,11/3,158505644567/75543300000;-5913670598093
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;1199/420,5/3,211/280;-67
119;2,3,13;71/35,4,211/280;-13
120;0,1,6;5/3,2,1;-1
121;1,4,6;22023248423/4721456250,5/3,158505644567/75543300000;-103840170598093
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;1619/420,13/6,281/280;-67
130;6;1;-1
132;1,4,6;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;55233756617/12590550000,11/3,158505644567/75543300000;-82855920598093
144;1,4,8;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
146;8;1;-1
149;1,3,9;347/420,10/3,351/280;-347
150;0,1,11;2/3,3,1;-2
151;1,4,11;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;55233756617/12590550000,11/3,158505644567/75543300000;-82855920598093
156;1,4,11;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
158;11;1;-1
161;1,3,12;347/420,10/3,351/280;-347
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;68377451447/15108660000,8/3,158505644567/75543300000;-89850670598093
169;14;1;-1
171;1,4,14;22023248423/4721456250,5/3,158505644567/75543300000;-103840170598093
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;1619/420,13/6,281/280;-67
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;554513232533960,2794551189189270268275000,1301352035717895,68180
4;1,4,6,3;554513232533960,3536483868004248643860000,1772340678568572,42616
5;5,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
12;1,4,6,3;554513232533960,3536483868004248643860000,1772340678568572,42616
13;5,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
16;5,4,2,3;609382541661880,1814996624741293404600000,5736324768137880,240240
19;1,4,8,3;554513232533960,3536483868004248643860000,1772340678568572,42616
22;1,4,8,3;554513232533960,2168071527754720715400000,609382541661880,76720
23;7,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
24;1,4,8,3;554513232533960,3536483868004248643860000,1772340678568572,42616
25;7,4,2,3;1301352035717895,284318861021735026725000,5736324768137880,30660
28;7,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
31;1,4,11,3;554513232533960,3536483868004248643860000,1772340678568572,42616
34;1,4,11,3;554513232533960,2168071527754720715400000,609382541661880,76720
35;10,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
36;1,4,11,3;554513232533960,3536483868004248643860000,1772340678568572,42616
37;10,4,2,3;1301352035717895,284318861021735026725000,5736324768137880,30660
40;10,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
44;1,4,14,3;554513232533960,3536483868004248643860000,1772340678568572,42616
48;1,4,14,3;554513232533960,3536483868004248643860000,1772340678568572,42616
50;13,4,2,3;609382541661880,1814996624741293404600000,5736324768137880,240240
51;1,4,14,3;554513232533960,2794551189189270268275000,1301352035717895,68180
53;13,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
57;13,4,2,3;1772340678568572,1316453063662164064140000,5736324768137880,60312
61;1,4,6,3;554513232533960,833443899303540536550000,603153531425235,9380
65;1,4,9,3;554513232533960,4471281902702832429240000,10190615315281128,54544
71;7,4,2,3;10190615315281128,522539953004243570760000,7161026628533960,16016
73;1,4,12,3;554513232533960,4471281902702832429240000,10190615315281128,54544
75;10,4,2,3;10190615315281128,522539953004243570760000,7161026628533960,16016
76;1,4,2,3;554513232533960,9511316958150000000000000,7161026628533960,39200
83;1,4,2,3;554513232533960,9511316958150000000000000,7161026628533960,39200
85;7,4,12,3;603153531425235,1379090452177829892690000,10190615315281128,64932
87;10,4,2,3;10190615315281128,522539953004243570760000,7161026628533960,16016
88;1,4,2,3;554513232533960,9511316958150000000000000,7161026628533960,39200
95;1,4,2,3;554513232533960,9511316958150000000000000,7161026628533960,39200
97;10,4,9,3;603153531425235,1379090452177829892690000,10190615315281128,64932
99;7,4,2,3;10190615315281128,522539953004243570760000,7161026628533960,16016
100;1,4,2,3;554513232533960,9511316958150000000000000,7161026628533960,39200
110;1,4,2,3;554513232533960,9511316958150000000000000,7161026628533960,39200
111;1,4,14,3;554513232533960,833443899303540536550000,603153531425235,9380
113;1,4,9,3;554513232533960,4471281902702832429240000,10190615315281128,54544
116;7,4,2,3;10190615315281128,522539953004243570760000,7161026628533960,16016
117;1,4,12,3;554513232533960,4471281902702832429240000,10190615315281128,54544
118;10,4,2,3;10190615315281128,522539953004243570760000,7161026628533960,16016
125;1,4,9,3;554513232533960,666755119442832429240000,3212364651331248,7504
131;7,4,2,3;3212364651331248,781247111795481161880000,3168989047123480,27776
133;1,4,12,3;554513232533960,666755119442832429240000,3212364651331248,7504
135;10,4,2,3;3212364651331248,781247111795481161880000,3168989047123480,27776
136;1,4,2,6,3;554513232533960,2377829239537500000000000,10868155525441,1,7175
137;5,2,3;1,1,175
143;1,4,2,8,3;554513232533960,2377829239537500000000000,10868155525441,1,7175
145;1,4,12,3;554513232533960,666755119442832429240000,3212364651331248,7504
147;10,4,2,3;3212364651331248,781247111795481161880000,3168989047123480,27776
148;1,4,2,8,3;554513232533960,2377829239537500000000000,10868155525441,1,7175
155;1,4,2,11,3;554513232533960,2377829239537500000000000,10868155525441,1,7175
157;1,4,9,3;554513232533960,666755119442832429240000,3212364651331248,7504
159;7,4,2,3;3212364651331248,781247111795481161880000,3168989047123480,27776
160;1,4,2,11,3;554513232533960,2377829239537500000000000,10868155525441,1,7175
170;1,4,2,14,3;554513232533960,2377829239537500000000000,10868155525441,1,7175
173;1,4,9,3;554513232533960,666755119442832429240000,3212364651331248,7504
176;7,4,2,3;3212364651331248,781247111795481161880000,3168989047123480,27776
177;1,4,12,3;554513232533960,666755119442832429240000,3212364651331248,7504
178;10,4,2,3;3212364651331248,781247111795481161880000,3168989047123480,27776
179;13,2,3;1,1,175
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/2;V/6,3/1/0/15;E/4,1/2/0/2;E/4,6/3/0/15;E/4,3/4/2/15
4:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
5:V/3,5/6/0/11;V/2,3/10/0/18;E/4,5/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
12:V/3,1/5/0/2;V/6,3/6/0/11;E/4,1/7/0/2;E/4,6/8/0/11;E/4,3/9/2/11
13:V/3,5/6/0/11;V/2,3/10/0/18;E/4,5/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
16:V/3,5/13/0/6;V/2,3/14/0/18;E/4,5/15/0/6;E/4,2/16/0/18;E/4,3/17/6/18
19:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
22:V/3,1/5/0/2;V/8,3/13/0/6;E/4,1/7/0/2;E/4,8/15/0/6;E/4,3/9/2/6
23:V/3,7/6/0/11;V/2,3/10/0/18;E/4,7/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
24:V/3,1/0/0/2;V/8,3/6/0/11;E/4,1/2/0/2;E/4,8/8/0/11;E/4,3/4/2/11
25:V/3,7/1/0/15;V/2,3/18/0/18;E/4,7/3/0/15;E/4,2/19/0/18;E/4,3/20/15/18
28:V/3,7/6/0/11;V/2,3/10/0/18;E/4,7/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
31:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
34:V/3,1/5/0/2;V/11,3/13/0/6;E/4,1/7/0/2;E/4,11/15/0/6;E/4,3/9/2/6
35:V/3,10/6/0/11;V/2,3/10/0/18;E/4,10/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
36:V/3,1/0/0/2;V/11,3/6/0/11;E/4,1/2/0/2;E/4,11/8/0/11;E/4,3/4/2/11
37:V/3,10/1/0/15;V/2,3/18/0/18;E/4,10/3/0/15;E/4,2/19/0/18;E/4,3/20/15/18
40:V/3,10/6/0/11;V/2,3/10/0/18;E/4,10/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
44:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
48:V/3,1/5/0/2;V/14,3/6/0/11;E/4,1/7/0/2;E/4,14/8/0/11;E/4,3/9/2/11
50:V/3,13/13/0/6;V/2,3/14/0/18;E/4,13/15/0/6;E/4,2/16/0/18;E/4,3/17/6/18
51:V/3,1/0/0/2;V/14,3/1/0/15;E/4,1/2/0/2;E/4,14/3/0/15;E/4,3/4/2/15
53:V/3,13/6/0/11;V/2,3/10/0/18;E/4,13/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
57:V/3,13/6/0/11;V/2,3/10/0/18;E/4,13/8/0/11;E/4,2/11/0/18;E/4,3/12/11/18
61:V/3,1/21/0/2;V/6,3/22/0/7;E/4,1/23/0/2;E/4,6/24/0/7;E/4,3/25/2/7
65:V/3,1/26/0/2;V/9,3/27/0/35;E/4,1/28/0/2;E/4,9/29/0/35;E/4,3/30/2/35
71:V/3,7/27/0/35;V/2,3/31/0/48;E/4,7/29/0/35;E/4,2/32/0/48;E/4,3/33/35/48
73:V/3,1/26/0/2;V/12,3/27/0/35;E/4,1/28/0/2;E/4,12/29/0/35;E/4,3/30/2/35
75:V/3,10/27/0/35;V/2,3/31/0/48;E/4,10/29/0/35;E/4,2/32/0/48;E/4,3/33/35/48
76:V/3,1/34/0/2;V/2,3/35/0/48;E/4,1/36/0/2;E/4,2/37/0/48;E/4,3/38/2/48
83:V/3,1/26/0/2;V/2,3/39/0/48;E/4,1/28/0/2;E/4,2/40/0/48;E/4,3/30/2/48
85:V/3,7/22/0/7;V/12,3/41/0/35;E/4,7/24/0/7;E/4,12/42/0/35;E/4,3/43/7/35
87:V/3,10/41/0/35;V/2,3/44/0/48;E/4,10/42/0/35;E/4,2/45/0/48;E/4,3/46/35/48
88:V/3,1/26/0/2;V/2,3/39/0/48;E/4,1/28/0/2;E/4,2/40/0/48;E/4,3/30/2/48
95:V/3,1/26/0/2;V/2,3/39/0/48;E/4,1/28/0/2;E/4,2/40/0/48;E/4,3/30/2/48
97:V/3,10/22/0/7;V/9,3/41/0/35;E/4,10/24/0/7;E/4,9/42/0/35;E/4,3/43/7/35
99:V/3,7/41/0/35;V/2,3/44/0/48;E/4,7/42/0/35;E/4,2/45/0/48;E/4,3/46/35/48
100:V/3,1/26/0/2;V/2,3/39/0/48;E/4,1/28/0/2;E/4,2/40/0/48;E/4,3/30/2/48
110:V/3,1/34/0/2;V/2,3/35/0/48;E/4,1/36/0/2;E/4,2/37/0/48;E/4,3/38/2/48
111:V/3,1/21/0/2;V/14,3/22/0/7;E/4,1/23/0/2;E/4,14/24/0/7;E/4,3/25/2/7
113:V/3,1/26/0/2;V/9,3/27/0/35;E/4,1/28/0/2;E/4,9/29/0/35;E/4,3/30/2/35
116:V/3,7/27/0/35;V/2,3/31/0/48;E/4,7/29/0/35;E/4,2/32/0/48;E/4,3/33/35/48
117:V/3,1/26/0/2;V/12,3/27/0/35;E/4,1/28/0/2;E/4,12/29/0/35;E/4,3/30/2/35
118:V/3,10/27/0/35;V/2,3/31/0/48;E/4,10/29/0/35;E/4,2/32/0/48;E/4,3/33/35/48
125:V/3,1/47/0/2;V/9,3/48/0/9;E/4,1/49/0/2;E/4,9/50/0/9;E/4,3/51/2/9
131:V/3,7/48/0/9;V/2,3/52/0/33;E/4,7/50/0/9;E/4,2/53/0/33;E/4,3/54/9/33
133:V/3,1/47/0/2;V/12,3/48/0/9;E/4,1/49/0/2;E/4,12/50/0/9;E/4,3/51/2/9
135:V/3,10/48/0/9;V/2,3/52/0/33;E/4,10/50/0/9;E/4,2/53/0/33;E/4,3/54/9/33
136:V/3,1/55/0/2;V/2,6/56/0/30;V/6,3/57/0/31;E/4,1/58/0/2;E/4,2/59/0/30;E/4,6/60/30/31;E/4,3/61/2/31
137:V/3,5/57/0/31;V/5,2/56/0/30;V/2,3/62/0/33;E/4,5/60/30/31;E/4,2/63/30/33;E/4,3/64/31/33
143:V/3,1/47/0/2;V/2,8/56/0/30;V/8,3/57/0/31;E/4,1/49/0/2;E/4,2/65/0/30;E/4,8/60/30/31;E/4,3/51/2/31
145:V/3,1/66/0/2;V/12,3/67/0/9;E/4,1/68/0/2;E/4,12/69/0/9;E/4,3/70/2/9
147:V/3,10/67/0/9;V/2,3/71/0/33;E/4,10/69/0/9;E/4,2/72/0/33;E/4,3/73/9/33
148:V/3,1/47/0/2;V/2,8/56/0/30;V/8,3/57/0/31;E/4,1/49/0/2;E/4,2/65/0/30;E/4,8/60/30/31;E/4,3/51/2/31
155:V/3,1/47/0/2;V/2,11/56/0/30;V/11,3/57/0/31;E/4,1/49/0/2;E/4,2/65/0/30;E/4,11/60/30/31;E/4,3/51/2/31
157:V/3,1/66/0/2;V/9,3/67/0/9;E/4,1/68/0/2;E/4,9/69/0/9;E/4,3/70/2/9
159:V/3,7/67/0/9;V/2,3/71/0/33;E/4,7/69/0/9;E/4,2/72/0/33;E/4,3/73/9/33
160:V/3,1/47/0/2;V/2,11/56/0/30;V/11,3/57/0/31;E/4,1/49/0/2;E/4,2/65/0/30;E/4,11/60/30/31;E/4,3/51/2/31
170:V/3,1/55/0/2;V/2,14/56/0/30;V/14,3/57/0/31;E/4,1/58/0/2;E/4,2/59/0/30;E/4,14/60/30/31;E/4,3/61/2/31
173:V/3,1/47/0/2;V/9,3/48/0/9;E/4,1/49/0/2;E/4,9/50/0/9;E/4,3/51/2/9
176:V/3,7/48/0/9;V/2,3/52/0/33;E/4,7/50/0/9;E/4,2/53/0/33;E/4,3/54/9/33
177:V/3,1/47/0/2;V/12,3/48/0/9;E/4,1/49/0/2;E/4,12/50/0/9;E/4,3/51/2/9
178:V/3,10/48/0/9;V/2,3/52/0/33;E/4,10/50/0/9;E/4,2/53/0/33;E/4,3/54/9/33
179:V/3,13/57/0/31;V/13,2/56/0/30;V/2,3/62/0/33;E/4,13/60/30/31;E/4,2/63/30/33;E/4,3/64/31/33
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;9517367/25000000,383777/1000000;4,3806,0,2368,5937,5937,16638;6,383777,0,237731,596200,596200,129091639
0;L;1,2;383777/1000000,38532077/100000000;6,383777,0,237731,596200,596200,129091639;10,3853207700,0,2382282070,5974482661,5974482661,5777233258
1;C;0,3;18810149/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
1;C;3,5;36445369/100000000;2,36,0,0,60,60,0;8,36445369,0,0,60370000,60370000,0
1;L;5,6;36445369/100000000,9149909/25000000;8,36445369,0,0,60370000,60370000,0;8,36599636,0,0,60497633,60497633,2794622
1;L;6,7;9149909/25000000,36658999/100000000;8,36599636,0,0,60497633,60497633,2794622;10,3665899900,0,0,6054667506,6054667506,783575479928
1;L;7,8;36658999/100000000,9186961/25000000;10,3665899900,0,0,6054667506,6054667506,783575479928;8,36747844,0,0,60620000,60620000,0
1;L;8,9;9186961/25000000,18391411/50000000;8,36747844,0,0,60620000,60620000,0;10,3678282200,0,0,6064884317,6064884317,442814887022
1;L;9,10;18391411/50000000,37051569/100000000;10,3678282200,0,0,6064884317,6064884317,442814887022;8,37051569,0,0,60870000,60870000,0
1;L;10,11;37051569/100000000,37167497/100000000;8,37051569,0,0,60870000,60870000,0;10,3716749700,0,0,6096515131,6096515131,514976105678
1;L;11,12;37167497/100000000,145924/390625;10,3716749700,0,0,6096515131,6096515131,514976105678;8,37356544,0,0,61120000,61120000,0
1;L;12,13;145924/390625,37662769/100000000;8,37356544,0,0,61120000,61120000,0;8,37662769,0,0,61370000,61370000,0
1;L;13,14;37662769/100000000,9492561/25000000;8,37662769,0,0,61370000,61370000,0;8,37970244,0,0,61620000,61620000,0
1;L;14,15;9492561/25000000,18985463/50000000;8,37970244,0,0,61620000,61620000,0;10,3797092600,0,0,6162055303,6162055303,885539156382
2;L;0,1;9517367/25000000,383777/1000000;8,38069468,0,59370000,59370000,23754995,12549975;8,38377700,0,59620000,59620000,23800234,61545244
2;L;1,2;383777/1000000,38532077/100000000;8,38377700,0,59620000,59620000,23800234,61545244;10,3853207700,0,5974482661,5974482661,2382282070,5777233258
3;C;0,3;18810149/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
3;C;3,5;36445369/100000000;2,36,0,0,60,60,0;8,36445369,0,0,60370000,60370000,0
3;L;5,6;36445369/100000000,9149909/25000000;8,36445369,0,0,60370000,60370000,0;8,36599636,0,0,60497633,60497633,2794622
3;L;6,7;9149909/25000000,36658999/100000000;8,36599636,0,0,60497633,60497633,2794622;10,3665899900,0,0,6054667506,6054667506,783575479928
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5;C;0,2;9517367/25000000;2,38,0,14,60,60,204;2,38,0,14,60,60,204
6;C;0,5;36445369/100000000;2,36,0,0,60,60,0;8,36445369,0,0,60370000,60370000,0
6;L;5,6;36445369/100000000,9149909/25000000;8,36445369,0,0,60370000,60370000,0;8,36599636,0,0,60497633,60497633,2794622
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7;C;0,2;9517367/25000000;2,38,0,60,60,15,175;2,38,0,60,60,14,204
8;C;0,5;36445369/100000000;2,36,0,0,60,60,0;8,36445369,0,0,60370000,60370000,0
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9;C;2,3;18810149/50000000;2,37,60,60,0,14,4;2,37,60,60,0,9,119
9;C;3,4;9135281/25000000;4,3654,5987,5987,0,835,694437;4,3654,6012,6012,0,0,791712
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10;C;0,18;248371/800000;2,31,0,0,24,60,2024;2,31,0,0,26,63,1555
11;C;0,18;248371/800000;2,31,0,0,60,30,1700;2,31,0,0,63,26,1555
12;C;11,14;37167497/100000000;10,3716749700,6096515131,0,0,6096515131,514976105678;2,37,62,0,0,43,1707
12;C;14,18;248371/800000;2,31,62,0,0,43,507;2,31,63,0,0,26,1555
13;C;0,3;18810149/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
13;C;3,4;9135281/25000000;2,36,0,0,60,60,0;4,3654,0,0,6012,6012,791712
13;C;4,5;36445369/100000000;4,3644,0,0,6012,6012,591712;8,36445369,0,0,60370000,60370000,0
13;L;5,6;36445369/100000000,9149909/25000000;8,36445369,0,0,60370000,60370000,0;8,36599636,0,0,60497633,60497633,2794622
14;C;0,18;248371/800000;2,31,0,0,3,60,2591;2,31,0,0,4,63,2215
15;C;0,3;18810149/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
15;C;3,4;9135281/25000000;2,36,0,0,60,60,0;4,3654,0,0,6012,6012,791712
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17;C;6,12;9149909/25000000;8,36599636,60497633,0,0,60497633,2794622;2,36,62,0,0,41,1675
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18;C;0,18;248371/800000;2,31,0,0,45,60,575;4,3104,0,0,4715,6225,1098150
19;C;0,18;248371/800000;2,31,0,0,60,49,199;4,3104,0,0,6225,4715,1098150
20;L;15,16;18985463/50000000,34735967/100000000;10,3797092600,6162055303,0,0,6162055303,885539156382;8,34735967,61870000,0,0,55850662,54161756
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21;C;0,2;9517367/25000000;2,38,0,0,60,60,400;2,38,0,0,60,60,400
22;C;0,3;18810149/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
22;C;3,5;36445369/100000000;2,36,0,0,60,60,0;8,36445369,0,0,60370000,60370000,0
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23;C;0,2;9517367/25000000;2,38,0,0,60,60,400;2,38,0,0,60,60,400
24;C;0,3;18810149/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
24;C;3,5;36445369/100000000;2,36,0,0,60,60,0;8,36445369,0,0,60370000,60370000,0
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26;C;0,2;9517367/25000000;2,38,0,0,56,60,864;2,38,0,0,56,60,864
27;C;0,35;4927031/20000000;2,24,0,0,9,60,1119;2,24,0,0,9,66,363
28;C;0,2;9517367/25000000;2,38,0,0,60,57,751;2,38,0,0,60,56,864
29;C;0,35;4927031/20000000;2,24,0,0,9,60,1119;2,24,0,0,9,66,363
30;C;2,13;36445369/100000000;2,36,60,0,0,56,464;2,36,62,0,0,43,1507
30;C;13,19;3837151/12500000;2,30,62,0,0,43,307;2,30,63,0,0,35,806
30;C;19,25;5421559/20000000;2,27,63,0,0,35,206;2,27,64,0,0,22,820
30;C;25,36;23779887/100000000;2,23,64,0,0,22,20;2,23,66,0,0,8,180
30;C;36,37;22690193/100000000;4,2269,6562,0,0,731,1785795;2,22,66,0,0,6,8
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30;L;38,39;21909489/100000000,11015481/50000000;8,21909489,66120000,0,0,3169107,160822551;8,22030962,66370000,0,0,1102428,152504816
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30;L;42,43;703921/3125000,4538717/20000000;8,22525472,67120000,0,0,0,0;8,22693585,67370000,0,0,0,100000000
30;L;43,44;4538717/20000000,11431161/50000000;8,22693585,67370000,0,0,0,100000000;8,22862322,67620000,0,0,0,0
30;L;44,45;11431161/50000000,4606337/20000000;8,22862322,67620000,0,0,0,0;8,23031685,67870000,0,0,0,100000000
30;L;45,46;4606337/20000000,2900209/12500000;8,23031685,67870000,0,0,0,100000000;8,23201672,68120000,0,0,0,0
30;L;46,47;2900209/12500000,4674457/20000000;8,23201672,68120000,0,0,0,0;8,23372285,68370000,0,0,0,100000000
30;L;47,48;4674457/20000000,23542291/100000000;8,23372285,68370000,0,0,0,100000000;10,2354229100,6861820601,0,0,0,39691998799
31;C;0,48;21909489/100000000;2,21,0,0,9,37,2750;2,21,0,0,10,42,2336
32;C;0,48;21909489/100000000;2,21,0,0,9,49,1718;2,21,0,0,10,42,2336
33;C;35,48;21909489/100000000;4,2190,888,0,0,6543,200607;2,21,10,0,0,42,2336
34;C;0,2;9517367/25000000;2,38,0,0,46,60,1884;2,38,0,0,46,60,1884
35;C;0,24;863237/3125000;2,27,0,0,0,60,1800;2,27,0,0,0,64,1304
35;C;24,36;23779887/100000000;2,23,0,0,0,64,504;2,23,0,0,0,66,244
35;C;36,37;22690193/100000000;2,22,0,0,0,66,44;2,22,0,0,0,66,44
35;C;37,38;21909489/100000000;4,2190,0,0,0,6587,411431;4,2190,0,0,0,6612,81456
35;L;38,39;21909489/100000000,11015481/50000000;4,2190,0,0,0,6612,81456;4,2203,0,0,0,6637,10231
35;L;39,40;11015481/50000000,11095561/50000000;4,2203,0,0,0,6637,10231;8,22191122,0,0,0,66620000,0
35;L;40,41;11095561/50000000,4471597/20000000;8,22191122,0,0,0,66620000,0;8,22357985,0,0,0,66870000,100000000
35;L;41,42;4471597/20000000,703921/3125000;8,22357985,0,0,0,66870000,100000000;8,22525472,0,0,0,67120000,0
35;L;42,43;703921/3125000,4538717/20000000;8,22525472,0,0,0,67120000,0;8,22693585,0,0,0,67370000,100000000
35;L;43,44;4538717/20000000,11431161/50000000;8,22693585,0,0,0,67370000,100000000;8,22862322,0,0,0,67620000,0
35;L;44,45;11431161/50000000,4606337/20000000;8,22862322,0,0,0,67620000,0;8,23031685,0,0,0,67870000,100000000
35;L;45,46;4606337/20000000,2900209/12500000;8,23031685,0,0,0,67870000,100000000;8,23201672,0,0,0,68120000,0
35;L;46,47;2900209/12500000,4674457/20000000;8,23201672,0,0,0,68120000,0;8,23372285,0,0,0,68370000,100000000
35;L;47,48;4674457/20000000,23542291/100000000;8,23372285,0,0,0,68370000,100000000;10,2354229100,0,0,0,6861820601,39691998799
36;C;0,2;9517367/25000000;2,38,0,0,60,47,1791;2,38,0,0,60,46,1884
37;C;0,24;863237/3125000;2,27,0,0,60,0,1800;2,27,0,0,64,0,1304
37;C;24,36;23779887/100000000;2,23,0,0,64,0,504;2,23,0,0,66,0,244
37;C;36,37;22690193/100000000;2,22,0,0,66,0,44;2,22,0,0,66,0,44
37;C;37,38;21909489/100000000;4,2190,0,0,6587,0,411431;4,2190,0,0,6612,0,81456
37;L;38,39;21909489/100000000,11015481/50000000;4,2190,0,0,6612,0,81456;4,2203,0,0,6637,0,10231
37;L;39,40;11015481/50000000,11095561/50000000;4,2203,0,0,6637,0,10231;8,22191122,0,0,66620000,0,0
37;L;40,41;11095561/50000000,4471597/20000000;8,22191122,0,0,66620000,0,0;8,22357985,0,0,66870000,0,100000000
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37;L;43,44;4538717/20000000,11431161/50000000;8,22693585,0,0,67370000,0,100000000;8,22862322,0,0,67620000,0,0
37;L;44,45;11431161/50000000,4606337/20000000;8,22862322,0,0,67620000,0,0;8,23031685,0,0,67870000,0,100000000
37;L;45,46;4606337/20000000,2900209/12500000;8,23031685,0,0,67870000,0,100000000;8,23201672,0,0,68120000,0,0
37;L;46,47;2900209/12500000,4674457/20000000;8,23201672,0,0,68120000,0,0;8,23372285,0,0,68370000,0,100000000
37;L;47,48;4674457/20000000,23542291/100000000;8,23372285,0,0,68370000,0,100000000;10,2354229100,0,0,6861820601,0,39691998799
38;C;2,13;36445369/100000000;2,36,60,0,0,46,1484;2,36,62,0,0,31,2395
38;C;13,25;5421559/20000000;2,27,62,0,0,31,595;2,27,64,0,0,7,1255
38;C;25,36;23779887/100000000;2,23,64,0,0,7,455;2,23,66,0,0,0,244
38;C;36,37;22690193/100000000;2,22,66,0,0,0,44;2,22,66,0,0,0,44
38;C;37,38;21909489/100000000;4,2190,6587,0,0,0,411431;4,2190,6612,0,0,0,81456
38;L;38,39;21909489/100000000,11015481/50000000;4,2190,6612,0,0,0,81456;4,2203,6637,0,0,0,10231
38;L;39,40;11015481/50000000,11095561/50000000;4,2203,6637,0,0,0,10231;8,22191122,66620000,0,0,0,0
38;L;40,41;11095561/50000000,4471597/20000000;8,22191122,66620000,0,0,0,0;8,22357985,66870000,0,0,0,100000000
38;L;41,42;4471597/20000000,703921/3125000;8,22357985,66870000,0,0,0,100000000;8,22525472,67120000,0,0,0,0
38;L;42,43;703921/3125000,4538717/20000000;8,22525472,67120000,0,0,0,0;8,22693585,67370000,0,0,0,100000000
38;L;43,44;4538717/20000000,11431161/50000000;8,22693585,67370000,0,0,0,100000000;8,22862322,67620000,0,0,0,0
38;L;44,45;11431161/50000000,4606337/20000000;8,22862322,67620000,0,0,0,0;8,23031685,67870000,0,0,0,100000000
38;L;45,46;4606337/20000000,2900209/12500000;8,23031685,67870000,0,0,0,100000000;8,23201672,68120000,0,0,0,0
38;L;46,47;2900209/12500000,4674457/20000000;8,23201672,68120000,0,0,0,0;8,23372285,68370000,0,0,0,100000000
38;L;47,48;4674457/20000000,23542291/100000000;8,23372285,68370000,0,0,0,100000000;10,2354229100,6861820601,0,0,0,39691998799
39;C;0,24;863237/3125000;2,27,0,0,0,60,1800;2,27,0,0,0,64,1304
39;C;24,36;23779887/100000000;2,23,0,0,0,64,504;2,23,0,0,0,66,244
39;C;36,37;22690193/100000000;2,22,0,0,0,66,44;2,22,0,0,0,66,44
39;C;37,38;21909489/100000000;4,2190,0,0,0,6587,411431;4,2190,0,0,0,6612,81456
39;L;38,39;21909489/100000000,11015481/50000000;4,2190,0,0,0,6612,81456;4,2203,0,0,0,6637,10231
39;L;39,40;11015481/50000000,11095561/50000000;4,2203,0,0,0,6637,10231;8,22191122,0,0,0,66620000,0
39;L;40,41;11095561/50000000,4471597/20000000;8,22191122,0,0,0,66620000,0;8,22357985,0,0,0,66870000,100000000
39;L;41,42;4471597/20000000,703921/3125000;8,22357985,0,0,0,66870000,100000000;8,22525472,0,0,0,67120000,0
39;L;42,43;703921/3125000,4538717/20000000;8,22525472,0,0,0,67120000,0;8,22693585,0,0,0,67370000,100000000
39;L;43,44;4538717/20000000,11431161/50000000;8,22693585,0,0,0,67370000,100000000;8,22862322,0,0,0,67620000,0
39;L;44,45;11431161/50000000,4606337/20000000;8,22862322,0,0,0,67620000,0;8,23031685,0,0,0,67870000,100000000
39;L;45,46;4606337/20000000,2900209/12500000;8,23031685,0,0,0,67870000,100000000;8,23201672,0,0,0,68120000,0
39;L;46,47;2900209/12500000,4674457/20000000;8,23201672,0,0,0,68120000,0;8,23372285,0,0,0,68370000,100000000
39;L;47,48;4674457/20000000,23542291/100000000;8,23372285,0,0,0,68370000,100000000;10,2354229100,0,0,0,6861820601,39691998799
40;C;0,24;863237/3125000;2,27,0,0,60,0,1800;2,27,0,0,64,0,1304
40;C;24,36;23779887/100000000;2,23,0,0,64,0,504;2,23,0,0,66,0,244
40;C;36,37;22690193/100000000;2,22,0,0,66,0,44;2,22,0,0,66,0,44
40;C;37,38;21909489/100000000;4,2190,0,0,6587,0,411431;4,2190,0,0,6612,0,81456
40;L;38,39;21909489/100000000,11015481/50000000;4,2190,0,0,6612,0,81456;4,2203,0,0,6637,0,10231
40;L;39,40;11015481/50000000,11095561/50000000;4,2203,0,0,6637,0,10231;8,22191122,0,0,66620000,0,0
40;L;40,41;11095561/50000000,4471597/20000000;8,22191122,0,0,66620000,0,0;8,22357985,0,0,66870000,0,100000000
40;L;41,42;4471597/20000000,703921/3125000;8,22357985,0,0,66870000,0,100000000;8,22525472,0,0,67120000,0,0
40;L;42,43;703921/3125000,4538717/20000000;8,22525472,0,0,67120000,0,0;8,22693585,0,0,67370000,0,100000000
40;L;43,44;4538717/20000000,11431161/50000000;8,22693585,0,0,67370000,0,100000000;8,22862322,0,0,67620000,0,0
40;L;44,45;11431161/50000000,4606337/20000000;8,22862322,0,0,67620000,0,0;8,23031685,0,0,67870000,0,100000000
40;L;45,46;4606337/20000000,2900209/12500000;8,23031685,0,0,67870000,0,100000000;8,23201672,0,0,68120000,0,0
40;L;46,47;2900209/12500000,4674457/20000000;8,23201672,0,0,68120000,0,0;8,23372285,0,0,68370000,0,100000000
40;L;47,48;4674457/20000000,23542291/100000000;8,23372285,0,0,68370000,0,100000000;10,2354229100,0,0,6861820601,0,39691998799
41;C;0,35;4927031/20000000;2,24,0,0,24,60,624;10,2463515500,0,0,2541750455,6542920916,511477013919
42;C;0,35;4927031/20000000;2,24,0,0,20,60,800;10,2463515500,0,0,2541750455,6542920916,511477013919
43;C;7,14;36658999/100000000;10,3665899900,6054667506,0,0,6054667506,783575479928;2,36,62,0,0,53,547
43;C;14,15;9492561/25000000;2,37,62,0,0,53,747;2,37,62,0,0,53,747
43;C;15,16;34735967/100000000;2,34,62,0,0,53,147;2,34,62,0,0,52,252
43;L;16,17;34735967/100000000,7957121/25000000;2,34,62,0,0,52,252;4,3182,6212,0,0,4923,815127
43;L;17,18;7957121/25000000,248371/800000;4,3182,6212,0,0,4923,815127;8,31046375,62246241,0,0,48318531,43371958
43;L;18,19;248371/800000,3837151/12500000;8,31046375,62246241,0,0,48318531,43371958;8,30697208,62370000,0,0,47428100,30390000
43;L;19,20;3837151/12500000,15008263/50000000;8,30697208,62370000,0,0,47428100,30390000;8,30016526,62620000,0,0,45629384,115780544
43;L;20,21;15008263/50000000,14684411/50000000;8,30016526,62620000,0,0,45629384,115780544;8,29368822,62870000,0,0,43830668,42673776
43;L;21,22;14684411/50000000,28754097/100000000;8,29368822,62870000,0,0,43830668,42673776;8,28754097,63120000,0,0,42031952,11069696
43;L;22,23;28754097/100000000,28172351/100000000;8,28754097,63120000,0,0,42031952,11069696;8,28172351,63370000,0,0,40233236,20968304
43;L;23,24;28172351/100000000,863237/3125000;8,28172351,63370000,0,0,40233236,20968304;8,27623584,63620000,0,0,38434520,72369600
43;L;24,25;863237/3125000,5421559/20000000;8,27623584,63620000,0,0,38434520,72369600;8,27107795,63870000,0,0,36635803,38545191
43;L;25,26;5421559/20000000,13312493/50000000;8,27107795,63870000,0,0,36635803,38545191;8,26624986,64120000,0,0,34837087,169354431
43;L;26,27;13312493/50000000,5235031/20000000;8,26624986,64120000,0,0,34837087,169354431;8,26175155,64370000,0,0,33038371,141666359
43;L;27,28;5235031/20000000,25758303/100000000;8,26175155,64370000,0,0,33038371,141666359;8,25758303,64620000,0,0,31239655,155480975
43;L;28,29;25758303/100000000,25374429/100000000;8,25758303,64620000,0,0,31239655,155480975;8,25374429,64870000,0,0,29440939,10798279
43;L;29,30;25374429/100000000,2521741/10000000;8,25374429,64870000,0,0,29440939,10798279;8,25217410,64978982,0,0,28656828,107222092
43;L;30,31;2521741/10000000,25138961/100000000;8,25217410,64978982,0,0,28656828,107222092;10,2513896100,6503512855,0,0,2825286112,930189672431
43;L;31,32;25138961/100000000,5004707/20000000;10,2513896100,6503512855,0,0,2825286112,930189672431;8,25023535,65120000,0,0,27642223,107618271
43;L;32,33;5004707/20000000,6225983/25000000;8,25023535,65120000,0,0,27642223,107618271;8,24903932,65211050,0,0,26987132,64312076
43;L;33,34;6225983/25000000,24705619/100000000;8,24903932,65211050,0,0,26987132,64312076;8,24705619,65370000,0,0,25843507,45940951
43;L;34,35;24705619/100000000,4927031/20000000;8,24705619,65370000,0,0,25843507,45940951;10,2463515500,6542920916,0,0,2541750455,511477013919
44;C;0,48;21909489/100000000;2,21,0,0,26,37,2155;2,21,0,0,30,42,1536
45;C;0,48;21909489/100000000;2,21,0,0,21,49,1358;2,21,0,0,30,42,1536
46;L;35,36;4927031/20000000,23779887/100000000;10,2463515500,2541750455,0,0,6542920916,511477013919;8,23779887,25647898,0,0,64016894,10774360
46;L;36,37;23779887/100000000,22690193/100000000;8,23779887,25647898,0,0,64016894,10774360;10,2269019300,2594978864,0,0,6216628559,54818853023
46;L;37,38;22690193/100000000,21909489/100000000;10,2269019300,2594978864,0,0,6216628559,54818853023;4,2190,2626,0,0,6032,519100
46;C;38,41;21909489/100000000;4,2190,2626,0,0,6032,519100;2,21,28,0,0,55,391
46;C;41,48;4471597/20000000;2,22,28,0,0,55,591;2,22,30,0,0,42,1736
47;C;0,2;9517367/25000000;2,38,0,0,14,60,3804;2,38,0,0,14,60,3804
48;C;0,9;36445369/100000000;2,36,0,0,7,60,3551;2,36,0,0,7,61,3430
49;C;0,2;9517367/25000000;2,38,0,0,60,14,3804;2,38,0,0,60,14,3804
50;C;0,9;36445369/100000000;2,36,0,0,7,60,3551;2,36,0,0,7,61,3430
51;C;2,31;25138961/100000000;2,25,60,0,0,14,1204;2,25,66,0,0,0,644
52;C;0,33;6225983/25000000;2,24,0,0,7,29,3910;2,24,0,0,8,32,3712
53;C;0,33;6225983/25000000;2,24,0,0,7,36,3455;2,24,0,0,8,32,3712
54;C;9,33;6225983/25000000;2,24,7,0,0,61,1030;2,24,8,0,0,32,3712
55;C;0,2;9517367/25000000;2,38,0,0,3,60,3991;2,38,0,0,3,60,3991
56;C;0,30;2521741/10000000;2,25,0,0,0,60,1400;2,25,0,0,0,65,775
57;C;0,31;25138961/100000000;2,25,0,0,0,60,1400;2,25,0,0,0,66,644
58;C;0,2;9517367/25000000;2,38,0,0,60,4,3984;2,38,0,0,60,3,3991
59;C;0,30;2521741/10000000;2,25,0,0,60,0,1400;2,25,0,0,65,0,775
60;C;30,31;25138961/100000000;2,25,0,0,0,65,775;2,25,0,0,0,66,644
61;C;2,31;25138961/100000000;2,25,60,0,0,3,1391;2,25,66,0,0,0,644
62;C;0,33;6225983/25000000;2,24,0,0,0,59,1319;2,24,0,0,0,65,575
63;C;30,33;6225983/25000000;2,24,0,0,0,65,575;2,24,0,0,0,65,575
64;C;31,33;6225983/25000000;2,24,0,0,0,66,444;2,24,0,0,0,65,575
65;C;0,30;2521741/10000000;2,25,0,0,60,0,1400;2,25,0,0,65,0,775
66;C;0,2;9517367/25000000;2,38,0,0,24,60,3424;2,38,0,0,25,60,3375
67;C;0,9;36445369/100000000;2,36,0,0,18,60,3276;2,36,0,0,19,61,3118
68;C;0,2;9517367/25000000;2,38,0,0,60,25,3375;2,38,0,0,60,25,3375
69;C;0,9;36445369/100000000;2,36,0,0,17,60,3311;2,36,0,0,19,61,3118
70;C;2,9;36445369/100000000;2,36,60,0,0,25,2975;2,36,61,0,0,19,3118
71;C;0,33;6225983/25000000;2,24,0,0,20,29,3559;2,24,0,0,22,32,3292
72;C;0,33;6225983/25000000;2,24,0,0,16,36,3248;2,24,0,0,22,32,3292
73;C;9,33;6225983/25000000;2,24,19,0,0,61,718;2,24,22,0,0,32,3292
MASS SLACK NUMERATOR 31715931755096372901673102205517099172218801172220636208760232484293415143250068670516995029873942270904880449546196480532241
BIN 19: PATH1; (351/280,141/112]; gamma0=743/1250; mass ceiling=24712963/25000000.
GAMMA 0=743/1250;1=95103618750/159518144567;2=5969/10000;3=2997/5000;4=6019/10000;5=142543012500/236434187209;6=89482837500/148276582067;7=1511/2500;8=182712862500/302271372259;9=6069/10000;10=491930775000/810144619261;11=3047/5000;12=6119/10000;13=206844750000/337276244843;14=384/625;15=6169/10000;16=44741418750/72240451967;17=3097/5000;18=6219/10000;19=1561/2500;20=6269/10000;21=3147/5000;22=6319/10000;23=793/1250;24=6369/10000;25=3197/5000;26=6419/10000;27=37771650000/58635277021;28=1611/2500;29=309367800000/479141166293;30=6469/10000;31=3247/5000;32=38108896875/58635277021;33=66175331250/101661569567;34=6519/10000;35=409/625;36=6569/10000;37=3297/5000;38=6619/10000;39=1661/2500;40=6669/10000;41=3347/5000;42=6719/10000;43=843/1250;44=6769/10000;45=3397/5000;46=6819/10000;47=57331968750/83974844567;48=1711/2500;49=6869/10000;50=3447/5000;51=6919/10000;52=434/625;53=6969/10000;54=3497/5000;55=7019/10000;56=1761/2500;57=7069/10000;58=3547/5000;59=7119/10000;60=893/1250;61=7169/10000;62=3597/5000;63=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37918863,38138861;1,2,38138861,37569460;2,3,37569460,36316523;3,4,36316523,36228361;4,5,36228361,36347230;5,6,36347230,36419533;6,7,36419533,36529936;7,8,36529936,36537953;8,9,36537953,36832761;9,10,36832761,36870828;10,11,36870828,37136836;11,12,37136836,37442161;12,13,37442161,37611227;13,14,37611227,35952053;14,15,35952053,32549533;15,16,32549533,30914565;16,17,30914565,30896542;17,18,30896542,30160930;18,19,30160930,29461166;19,20,29461166,28797248;20,21,28797248,28169178;21,22,28169178,27576955;22,23,27576955,27020579;23,24,27020579,26500050;24,25,26500050,26015368;25,26,26015368,25566533;26,27,25566533,25188511;27,28,25188511,25153545;28,29,25153545,24957250;29,30,24957250,24776404;30,31,24776404,24435111;31,32,24435111,24367208;32,33,24367208,24243013;33,34,24243013,23789948;34,35,23789948,22639770;35,36,22639770,21610804;36,37,21610804,21741597;37,38,21741597,21905581;38,39,21905581,22071368;39,40,22071368,22237781;40,41,22237781,22404818;41,42,22404818,22572481;42,43,22572481,22740768;43,44,22740768,22909681;44,45,22909681,23079218;45,46,23079218,23249381;46,47,23249381,23305869;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;137698721417/37771650000,1/3,159518144567/75543300000;-87045606413281
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;317/168,5/3,199/336;-27
10;6;1;-1
11;2,3,7;547/336,4/3,199/336;-25
14;6;1;-1
15;2,3,10;547/336,4/3,199/336;-25
17;2,3,5;15/14,11/3,199/336;-79
18;1,4,8;101333016167/25181100000,4/3,159518144567/75543300000;-55569231413281
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;547/336,4/3,199/336;-25
29;1,3,9;137/168,10/3,141/112;-137
30;1,4,11;101333016167/25181100000,4/3,159518144567/75543300000;-55569231413281
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;547/336,4/3,199/336;-25
41;1,3,12;137/168,10/3,141/112;-137
42;1,4,14;137698721417/37771650000,1/3,159518144567/75543300000;-87045606413281
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;547/336,4/3,199/336;-25
56;2,3,7;547/336,4/3,199/336;-25
58;2,3,10;547/336,4/3,199/336;-25
59;2,3,13;15/14,11/3,199/336;-79
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;485/168,5/3,85/112;-25
70;6;1;-1
72;1,4,6;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
74;6;1;-1
77;2,3,5;29/14,4,85/112;-23
78;1,4,8;142730744567/25181100000,1/3,159518144567/75543300000;-102783793913281
79;1,4,8;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;42006344567/12590550000,14/3,159518144567/75543300000;-8354668913281
84;1,4,8;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
86;8;1;-1
89;1,3,9;137/168,10/3,141/112;-137
90;1,4,11;142730744567/25181100000,1/3,159518144567/75543300000;-102783793913281
91;1,4,11;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;42006344567/12590550000,14/3,159518144567/75543300000;-8354668913281
96;1,4,11;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
98;11;1;-1
101;1,3,12;137/168,10/3,141/112;-137
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;48721304567/15108660000,11/3,159518144567/75543300000;-3108606413281
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;485/168,5/3,85/112;-25
119;2,3,13;29/14,4,85/112;-23
120;0,1,6;5/3,2,1;-1
121;1,4,6;22276373423/4721456250,5/3,159518144567/75543300000;-39831043913281
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;653/168,13/6,113/112;-25
130;6;1;-1
132;1,4,6;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;56246256617/12590550000,11/3,159518144567/75543300000;-31961950163281
144;1,4,8;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
146;8;1;-1
149;1,3,9;137/168,10/3,141/112;-137
150;0,1,11;2/3,3,1;-2
151;1,4,11;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;56246256617/12590550000,11/3,159518144567/75543300000;-31961950163281
156;1,4,11;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
158;11;1;-1
161;1,3,12;137/168,10/3,141/112;-137
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;69389951447/15108660000,8/3,159518144567/75543300000;-34584981413281
169;14;1;-1
171;1,4,14;22276373423/4721456250,5/3,159518144567/75543300000;-39831043913281
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;653/168,13/6,113/112;-25
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;40044706712528,1031129804739584858175000,167153439214671,10808
4;1,4,6,3;40044706712528,1285796911606253659620000,1089985397682468,33488
5;5,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
12;1,4,6,3;40044706712528,1285796911606253659620000,1089985397682468,33488
13;5,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
16;5,4,2,3;70228606803964,721649384627718418200000,756711522342384,39648
19;1,4,8,3;40044706712528,1285796911606253659620000,1089985397682468,33488
22;1,4,8,3;40044706712528,768155113024309621800000,70228606803964,11872
23;7,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
24;1,4,8,3;40044706712528,1285796911606253659620000,1089985397682468,33488
25;7,4,2,3;167153439214671,122004191764300656825000,756711522342384,5208
28;7,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
31;1,4,11,3;40044706712528,1285796911606253659620000,1089985397682468,33488
34;1,4,11,3;40044706712528,768155113024309621800000,70228606803964,11872
35;10,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
36;1,4,11,3;40044706712528,1285796911606253659620000,1089985397682468,33488
37;10,4,2,3;167153439214671,122004191764300656825000,756711522342384,5208
40;10,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
44;1,4,14,3;40044706712528,1285796911606253659620000,1089985397682468,33488
48;1,4,14,3;40044706712528,1285796911606253659620000,1089985397682468,33488
50;13,4,2,3;70228606803964,721649384627718418200000,756711522342384,39648
51;1,4,14,3;40044706712528,1031129804739584858175000,167153439214671,10808
53;13,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
57;13,4,2,3;1089985397682468,530592984188071576380000,756711522342384,50064
61;1,4,6,3;40044706712528,278887679826044716350000,70729948767198,1400
65;1,4,9,3;40044706712528,1649807687583335773080000,7242094817212752,43232
71;7,4,2,3;7242094817212752,220878131745606226920000,1038424959512528,13216
73;1,4,12,3;40044706712528,1649807687583335773080000,7242094817212752,43232
75;10,4,2,3;7242094817212752,220878131745606226920000,1038424959512528,13216
76;1,4,2,3;40044706712528,3566743859306250000000000,1038424959512528,6272
83;1,4,2,3;40044706712528,3566743859306250000000000,1038424959512528,6272
85;7,4,12,3;70729948767198,522890987768637056730000,7242094817212752,52248
87;10,4,2,3;7242094817212752,220878131745606226920000,1038424959512528,13216
88;1,4,2,3;40044706712528,3566743859306250000000000,1038424959512528,6272
95;1,4,2,3;40044706712528,3566743859306250000000000,1038424959512528,6272
97;10,4,9,3;70729948767198,522890987768637056730000,7242094817212752,52248
99;7,4,2,3;7242094817212752,220878131745606226920000,1038424959512528,13216
100;1,4,2,3;40044706712528,3566743859306250000000000,1038424959512528,6272
110;1,4,2,3;40044706712528,3566743859306250000000000,1038424959512528,6272
111;1,4,14,3;40044706712528,278887679826044716350000,70729948767198,1400
113;1,4,9,3;40044706712528,1649807687583335773080000,7242094817212752,43232
116;7,4,2,3;7242094817212752,220878131745606226920000,1038424959512528,13216
117;1,4,12,3;40044706712528,1649807687583335773080000,7242094817212752,43232
118;10,4,2,3;7242094817212752,220878131745606226920000,1038424959512528,13216
125;1,4,9,3;40044706712528,2166117901561512360000,18611049149784,5600
131;7,4,2,3;18611049149784,2969618091917377320000,455852349920464,22624
133;1,4,12,3;40044706712528,2166117901561512360000,18611049149784,5600
135;10,4,2,3;18611049149784,2969618091917377320000,455852349920464,22624
136;1,4,2,6,3;40044706712528,891685964826562500000000,3648551673397,1,1106
137;5,2,3;1,1,70
143;1,4,2,8,3;40044706712528,891685964826562500000000,3648551673397,1,1106
145;1,4,12,3;40044706712528,2166117901561512360000,18611049149784,5600
147;10,4,2,3;18611049149784,2969618091917377320000,455852349920464,22624
148;1,4,2,8,3;40044706712528,891685964826562500000000,3648551673397,1,1106
155;1,4,2,11,3;40044706712528,891685964826562500000000,3648551673397,1,1106
157;1,4,9,3;40044706712528,2166117901561512360000,18611049149784,5600
159;7,4,2,3;18611049149784,2969618091917377320000,455852349920464,22624
160;1,4,2,11,3;40044706712528,891685964826562500000000,3648551673397,1,1106
170;1,4,2,14,3;40044706712528,891685964826562500000000,3648551673397,1,1106
173;1,4,9,3;40044706712528,2166117901561512360000,18611049149784,5600
176;7,4,2,3;18611049149784,2969618091917377320000,455852349920464,22624
177;1,4,12,3;40044706712528,2166117901561512360000,18611049149784,5600
178;10,4,2,3;18611049149784,2969618091917377320000,455852349920464,22624
179;13,2,3;1,1,70
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
5:V/3,5/6/0/10;V/2,3/10/0/16;E/4,5/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
12:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
13:V/3,5/6/0/10;V/2,3/10/0/16;E/4,5/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
16:V/3,5/13/0/5;V/2,3/14/0/16;E/4,5/15/0/5;E/4,2/16/0/16;E/4,3/17/5/16
19:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
22:V/3,1/5/0/1;V/8,3/13/0/5;E/4,1/7/0/1;E/4,8/15/0/5;E/4,3/9/1/5
23:V/3,7/6/0/10;V/2,3/10/0/16;E/4,7/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
24:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
25:V/3,7/1/0/13;V/2,3/18/0/16;E/4,7/3/0/13;E/4,2/19/0/16;E/4,3/20/13/16
28:V/3,7/6/0/10;V/2,3/10/0/16;E/4,7/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
31:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
34:V/3,1/5/0/1;V/11,3/13/0/5;E/4,1/7/0/1;E/4,11/15/0/5;E/4,3/9/1/5
35:V/3,10/6/0/10;V/2,3/10/0/16;E/4,10/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
36:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
37:V/3,10/1/0/13;V/2,3/18/0/16;E/4,10/3/0/13;E/4,2/19/0/16;E/4,3/20/13/16
40:V/3,10/6/0/10;V/2,3/10/0/16;E/4,10/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
44:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
48:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
50:V/3,13/13/0/5;V/2,3/14/0/16;E/4,13/15/0/5;E/4,2/16/0/16;E/4,3/17/5/16
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/10;V/2,3/10/0/16;E/4,13/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
57:V/3,13/6/0/10;V/2,3/10/0/16;E/4,13/8/0/10;E/4,2/11/0/16;E/4,3/12/10/16
61:V/3,1/21/0/1;V/6,3/22/0/6;E/4,1/23/0/1;E/4,6/24/0/6;E/4,3/25/1/6
65:V/3,1/26/0/1;V/9,3/27/0/33;E/4,1/28/0/1;E/4,9/29/0/33;E/4,3/30/1/33
71:V/3,7/27/0/33;V/2,3/31/0/47;E/4,7/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
73:V/3,1/26/0/1;V/12,3/27/0/33;E/4,1/28/0/1;E/4,12/29/0/33;E/4,3/30/1/33
75:V/3,10/27/0/33;V/2,3/31/0/47;E/4,10/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
76:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
83:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
85:V/3,7/22/0/6;V/12,3/41/0/33;E/4,7/24/0/6;E/4,12/42/0/33;E/4,3/43/6/33
87:V/3,10/41/0/33;V/2,3/44/0/47;E/4,10/42/0/33;E/4,2/45/0/47;E/4,3/46/33/47
88:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
95:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
97:V/3,10/22/0/6;V/9,3/41/0/33;E/4,10/24/0/6;E/4,9/42/0/33;E/4,3/43/6/33
99:V/3,7/41/0/33;V/2,3/44/0/47;E/4,7/42/0/33;E/4,2/45/0/47;E/4,3/46/33/47
100:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
110:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
111:V/3,1/21/0/1;V/14,3/22/0/6;E/4,1/23/0/1;E/4,14/24/0/6;E/4,3/25/1/6
113:V/3,1/26/0/1;V/9,3/27/0/33;E/4,1/28/0/1;E/4,9/29/0/33;E/4,3/30/1/33
116:V/3,7/27/0/33;V/2,3/31/0/47;E/4,7/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
117:V/3,1/26/0/1;V/12,3/27/0/33;E/4,1/28/0/1;E/4,12/29/0/33;E/4,3/30/1/33
118:V/3,10/27/0/33;V/2,3/31/0/47;E/4,10/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
125:V/3,1/47/0/1;V/9,3/48/0/8;E/4,1/49/0/1;E/4,9/50/0/8;E/4,3/51/1/8
131:V/3,7/48/0/8;V/2,3/52/0/32;E/4,7/50/0/8;E/4,2/53/0/32;E/4,3/54/8/32
133:V/3,1/47/0/1;V/12,3/48/0/8;E/4,1/49/0/1;E/4,12/50/0/8;E/4,3/51/1/8
135:V/3,10/48/0/8;V/2,3/52/0/32;E/4,10/50/0/8;E/4,2/53/0/32;E/4,3/54/8/32
136:V/3,1/55/0/1;V/2,6/56/0/27;V/6,3/57/0/29;E/4,1/58/0/1;E/4,2/59/0/27;E/4,6/60/27/29;E/4,3/61/1/29
137:V/3,5/57/0/29;V/5,2/56/0/27;V/2,3/62/0/32;E/4,5/60/27/29;E/4,2/63/27/32;E/4,3/64/29/32
143:V/3,1/47/0/1;V/2,8/56/0/27;V/8,3/57/0/29;E/4,1/49/0/1;E/4,2/65/0/27;E/4,8/60/27/29;E/4,3/51/1/29
145:V/3,1/66/0/1;V/12,3/67/0/8;E/4,1/68/0/1;E/4,12/69/0/8;E/4,3/70/1/8
147:V/3,10/67/0/8;V/2,3/71/0/32;E/4,10/69/0/8;E/4,2/72/0/32;E/4,3/73/8/32
148:V/3,1/47/0/1;V/2,8/56/0/27;V/8,3/57/0/29;E/4,1/49/0/1;E/4,2/65/0/27;E/4,8/60/27/29;E/4,3/51/1/29
155:V/3,1/47/0/1;V/2,11/56/0/27;V/11,3/57/0/29;E/4,1/49/0/1;E/4,2/65/0/27;E/4,11/60/27/29;E/4,3/51/1/29
157:V/3,1/66/0/1;V/9,3/67/0/8;E/4,1/68/0/1;E/4,9/69/0/8;E/4,3/70/1/8
159:V/3,7/67/0/8;V/2,3/71/0/32;E/4,7/69/0/8;E/4,2/72/0/32;E/4,3/73/8/32
160:V/3,1/47/0/1;V/2,11/56/0/27;V/11,3/57/0/29;E/4,1/49/0/1;E/4,2/65/0/27;E/4,11/60/27/29;E/4,3/51/1/29
170:V/3,1/55/0/1;V/2,14/56/0/27;V/14,3/57/0/29;E/4,1/58/0/1;E/4,2/59/0/27;E/4,14/60/27/29;E/4,3/61/1/29
173:V/3,1/47/0/1;V/9,3/48/0/8;E/4,1/49/0/1;E/4,9/50/0/8;E/4,3/51/1/8
176:V/3,7/48/0/8;V/2,3/52/0/32;E/4,7/50/0/8;E/4,2/53/0/32;E/4,3/54/8/32
177:V/3,1/47/0/1;V/12,3/48/0/8;E/4,1/49/0/1;E/4,12/50/0/8;E/4,3/51/1/8
178:V/3,10/48/0/8;V/2,3/52/0/32;E/4,10/50/0/8;E/4,2/53/0/32;E/4,3/54/8/32
179:V/3,13/57/0/29;V/13,2/56/0/27;V/2,3/62/0/32;E/4,13/60/27/29;E/4,2/63/27/32;E/4,3/64/29/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37918863/100000000,38138861/100000000;4,3791,0,2271,5944,5944,287;10,3813886100,0,2277822794,5961931103,5961931103,365296440346
1;C;0,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
1;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
1;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
1;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,0,0,6028866392,6028866392,54825804672;8,36419533,0,0,60348598,60348598,38868792
1;L;6,7;36419533/100000000,2283121/6250000;8,36419533,0,0,60348598,60348598,38868792;8,36529936,0,0,60440000,60440000,0
1;L;7,8;2283121/6250000,36537953/100000000;8,36529936,0,0,60440000,60440000,0;10,3653795300,0,0,6044663150,6044663150,806064155000
1;L;8,9;36537953/100000000,36832761/100000000;10,3653795300,0,0,6044663150,6044663150,806064155000;8,36832761,0,0,60690000,60690000,0
1;L;9,10;36832761/100000000,9217707/25000000;8,36832761,0,0,60690000,60690000,0;10,3687082800,0,0,6072135312,6072135312,1505525325312
1;L;10,11;9217707/25000000,9284209/25000000;10,3687082800,0,0,6072135312,6072135312,1505525325312;8,37136836,0,0,60940000,60940000,0
1;L;11,12;9284209/25000000,37442161/100000000;8,37136836,0,0,60940000,60940000,0;8,37442161,0,0,61190000,61190000,0
1;L;12,13;37442161/100000000,37611227/100000000;8,37442161,0,0,61190000,61190000,0;10,3761122700,0,0,6132799246,6132799246,816523662968
2;L;0,1;37918863/100000000,38138861/100000000;8,37918863,0,59440000,59440000,22749624,7858624;10,3813886100,0,5961931103,5961931103,2277822794,365296440346
3;C;0,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
3;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
3;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
3;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,0,0,6028866392,6028866392,54825804672;8,36419533,0,0,60348598,60348598,38868792
3;L;6,7;36419533/100000000,2283121/6250000;8,36419533,0,0,60348598,60348598,38868792;8,36529936,0,0,60440000,60440000,0
3;L;7,8;2283121/6250000,36537953/100000000;8,36529936,0,0,60440000,60440000,0;10,3653795300,0,0,6044663150,6044663150,806064155000
3;L;8,9;36537953/100000000,36832761/100000000;10,3653795300,0,0,6044663150,6044663150,806064155000;8,36832761,0,0,60690000,60690000,0
3;L;9,10;36832761/100000000,9217707/25000000;8,36832761,0,0,60690000,60690000,0;10,3687082800,0,0,6072135312,6072135312,1505525325312
3;L;10,11;9217707/25000000,9284209/25000000;10,3687082800,0,0,6072135312,6072135312,1505525325312;8,37136836,0,0,60940000,60940000,0
3;L;11,12;9284209/25000000,37442161/100000000;8,37136836,0,0,60940000,60940000,0;8,37442161,0,0,61190000,61190000,0
3;L;12,13;37442161/100000000,37611227/100000000;8,37442161,0,0,61190000,61190000,0;10,3761122700,0,0,6132799246,6132799246,816523662968
4;L;1,2;38138861/100000000,1878473/5000000;10,3813886100,5961931103,5961931103,0,2277822794,365296440346;8,37569460,59690000,59690000,0,19700248,28738496
4;L;2,3;1878473/5000000,36316523/100000000;8,37569460,59690000,59690000,0,19700248,28738496;8,36316523,59940000,59940000,0,8814603,173952391
4;L;3,4;36316523/100000000,36228361/100000000;8,36316523,59940000,59940000,0,8814603,173952391;8,36228361,60190000,60190000,0,0,0
4;L;4,5;36228361/100000000,3634723/10000000;8,36228361,60190000,60190000,0,0,0;10,3634723000,6028866392,6028866392,0,0,54825804672
4;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,6028866392,6028866392,0,0,54825804672;8,36419533,60348598,60348598,0,0,38868792
4;L;6,7;36419533/100000000,2283121/6250000;8,36419533,60348598,60348598,0,0,38868792;8,36529936,60440000,60440000,0,0,0
4;L;7,8;2283121/6250000,36537953/100000000;8,36529936,60440000,60440000,0,0,0;10,3653795300,6044663150,6044663150,0,0,806064155000
4;L;8,9;36537953/100000000,36832761/100000000;10,3653795300,6044663150,6044663150,0,0,806064155000;8,36832761,60690000,60690000,0,0,0
4;L;9,10;36832761/100000000,9217707/25000000;8,36832761,60690000,60690000,0,0,0;10,3687082800,6072135312,6072135312,0,0,1505525325312
4;L;10,11;9217707/25000000,9284209/25000000;10,3687082800,6072135312,6072135312,0,0,1505525325312;8,37136836,60940000,60940000,0,0,0
4;L;11,12;9284209/25000000,37442161/100000000;8,37136836,60940000,60940000,0,0,0;8,37442161,61190000,61190000,0,0,0
4;L;12,13;37442161/100000000,37611227/100000000;8,37442161,61190000,61190000,0,0,0;10,3761122700,6132799246,6132799246,0,0,816523662968
5;C;0,1;37918863/100000000;2,37,0,13,60,60,31;2,37,0,13,60,60,31
6;C;0,2;1878473/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
6;C;2,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
6;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
6;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
6;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,0,0,6028866392,6028866392,54825804672;8,36419533,0,0,60348598,60348598,38868792
6;L;6,7;36419533/100000000,2283121/6250000;8,36419533,0,0,60348598,60348598,38868792;8,36529936,0,0,60440000,60440000,0
6;L;7,8;2283121/6250000,36537953/100000000;8,36529936,0,0,60440000,60440000,0;10,3653795300,0,0,6044663150,6044663150,806064155000
6;L;8,9;36537953/100000000,36832761/100000000;10,3653795300,0,0,6044663150,6044663150,806064155000;8,36832761,0,0,60690000,60690000,0
6;L;9,10;36832761/100000000,9217707/25000000;8,36832761,0,0,60690000,60690000,0;10,3687082800,0,0,6072135312,6072135312,1505525325312
7;C;0,1;37918863/100000000;2,37,0,60,60,13,31;2,37,0,60,60,13,31
8;C;0,2;1878473/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
8;C;2,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
8;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
8;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
8;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,0,0,6028866392,6028866392,54825804672;8,36419533,0,0,60348598,60348598,38868792
8;L;6,7;36419533/100000000,2283121/6250000;8,36419533,0,0,60348598,60348598,38868792;8,36529936,0,0,60440000,60440000,0
8;L;7,8;2283121/6250000,36537953/100000000;8,36529936,0,0,60440000,60440000,0;10,3653795300,0,0,6044663150,6044663150,806064155000
8;L;8,9;36537953/100000000,36832761/100000000;10,3653795300,0,0,6044663150,6044663150,806064155000;8,36832761,0,0,60690000,60690000,0
8;L;9,10;36832761/100000000,9217707/25000000;8,36832761,0,0,60690000,60690000,0;10,3687082800,0,0,6072135312,6072135312,1505525325312
9;C;1,2;1878473/5000000;2,37,60,60,0,13,31;2,37,60,60,0,10,100
9;C;2,3;36316523/100000000;4,3631,5969,5969,0,902,548474;2,36,60,60,0,0,0
9;C;3,4;36228361/100000000;2,36,60,60,0,0,0;8,36228361,60190000,60190000,0,0,0
9;L;4,5;36228361/100000000,3634723/10000000;8,36228361,60190000,60190000,0,0,0;10,3634723000,6028866392,6028866392,0,0,54825804672
9;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,6028866392,6028866392,0,0,54825804672;8,36419533,60348598,60348598,0,0,38868792
9;L;6,7;36419533/100000000,2283121/6250000;8,36419533,60348598,60348598,0,0,38868792;8,36529936,60440000,60440000,0,0,0
9;L;7,8;2283121/6250000,36537953/100000000;8,36529936,60440000,60440000,0,0,0;10,3653795300,6044663150,6044663150,0,0,806064155000
9;L;8,9;36537953/100000000,36832761/100000000;10,3653795300,6044663150,6044663150,0,0,806064155000;8,36832761,60690000,60690000,0,0,0
9;L;9,10;36832761/100000000,9217707/25000000;8,36832761,60690000,60690000,0,0,0;10,3687082800,6072135312,6072135312,0,0,1505525325312
10;C;0,16;6182913/20000000;2,30,0,0,23,60,1871;2,30,0,0,23,62,1627
11;C;0,16;6182913/20000000;2,30,0,0,60,27,1671;2,30,0,0,62,23,1627
12;C;10,13;9217707/25000000;10,3687082800,6072135312,0,0,6072135312,1505525325312;2,36,62,0,0,42,1592
12;C;13,16;6182913/20000000;2,30,62,0,0,42,392;2,30,62,0,0,23,1627
13;C;0,2;1878473/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
13;C;2,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
13;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
13;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
14;C;0,16;6182913/20000000;2,30,0,0,1,60,2399;2,30,0,0,1,62,2155
15;C;0,2;1878473/5000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
15;C;2,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
15;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
15;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
16;C;0,16;6182913/20000000;2,30,0,0,60,7,2351;2,30,0,0,62,1,2155
17;C;5,10;3634723/10000000;10,3634723000,6028866392,0,0,6028866392,54825804672;2,36,61,0,0,45,1454
17;C;10,16;6182913/20000000;2,30,61,0,0,45,254;2,30,62,0,0,1,2155
18;C;0,16;6182913/20000000;2,30,0,0,44,60,464;2,30,0,0,46,62,40
19;C;0,16;6182913/20000000;2,30,0,0,60,48,96;2,30,0,0,62,46,40
20;L;13,14;37611227/100000000,35952053/100000000;10,3761122700,6132799246,0,0,6132799246,816523662968;8,35952053,61440000,0,0,58442595,89665975
20;L;14,15;35952053/100000000,32549533/100000000;8,35952053,61440000,0,0,58442595,89665975;10,3254953300,6169000000,0,0,5200240837,237197539431
20;L;15,16;32549533/100000000,6182913/20000000;10,3254953300,6169000000,0,0,5200240837,237197539431;2,30,62,0,0,46,40
21;C;0,1;37918863/100000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
22;C;0,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
22;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
22;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
22;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,0,0,6028866392,6028866392,54825804672;8,36419533,0,0,60348598,60348598,38868792
23;C;0,1;37918863/100000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
24;C;0,3;36316523/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
24;C;3,4;36228361/100000000;2,36,0,0,60,60,0;8,36228361,0,0,60190000,60190000,0
24;L;4,5;36228361/100000000,3634723/10000000;8,36228361,0,0,60190000,60190000,0;10,3634723000,0,0,6028866392,6028866392,54825804672
24;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,0,0,6028866392,6028866392,54825804672;8,36419533,0,0,60348598,60348598,38868792
25;C;1,3;36316523/100000000;2,36,60,60,0,0,0;2,36,60,60,0,0,0
25;C;3,4;36228361/100000000;2,36,60,60,0,0,0;8,36228361,60190000,60190000,0,0,0
25;L;4,5;36228361/100000000,3634723/10000000;8,36228361,60190000,60190000,0,0,0;10,3634723000,6028866392,6028866392,0,0,54825804672
25;L;5,6;3634723/10000000,36419533/100000000;10,3634723000,6028866392,6028866392,0,0,54825804672;8,36419533,60348598,60348598,0,0,38868792
26;C;0,1;37918863/100000000;2,37,0,0,55,60,775;2,37,0,0,56,60,664
27;C;0,33;24243013/100000000;2,24,0,0,8,60,1136;2,24,0,0,8,66,380
28;C;0,1;37918863/100000000;2,37,0,0,60,56,664;2,37,0,0,60,56,664
29;C;0,33;24243013/100000000;2,24,0,0,8,60,1136;2,24,0,0,8,66,380
30;C;1,12;36228361/100000000;2,36,60,0,0,56,464;2,36,62,0,0,42,1592
30;C;12,18;3016093/10000000;2,30,62,0,0,42,392;2,30,63,0,0,33,942
30;C;18,24;530001/2000000;2,26,63,0,0,33,142;2,26,64,0,0,20,704
30;C;24,35;2263977/10000000;4,2263,6369,0,0,1991,731758;2,22,66,0,0,5,19
30;C;35,36;5402701/25000000;4,2161,6544,0,0,481,164703;8,21610804,65690000,0,0,2642843,80877351
30;L;36,37;5402701/25000000,21741597/100000000;8,21610804,65690000,0,0,2642843,80877351;8,21741597,65940000,0,0,485532,58676976
30;L;37,38;21741597/100000000,21905581/100000000;8,21741597,65940000,0,0,485532,58676976;8,21905581,66190000,0,0,0,100000000
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68;C;0,1;37918863/100000000;2,37,0,0,60,24,3224;2,37,0,0,60,24,3224
69;C;0,8;36228361/100000000;2,36,0,0,17,60,3311;2,36,0,0,18,61,3155
70;C;1,8;36228361/100000000;2,36,60,0,0,24,3024;2,36,61,0,0,18,3155
71;C;0,32;3045901/12500000;2,24,0,0,20,28,3616;2,24,0,0,22,30,3416
72;C;0,32;3045901/12500000;2,24,0,0,16,35,3319;2,24,0,0,22,30,3416
73;C;8,32;3045901/12500000;2,24,18,0,0,61,755;2,24,22,0,0,30,3416
MASS SLACK NUMERATOR 812242319249235076573598013201236006751515301764320501944694275281755159839800040076175255437062621756259499641663438539689739
BIN 20: PATH1; (141/112,177/140]; gamma0=119/200; mass ceiling=9910003/10000000.
GAMMA 0=119/200;1=95508315000/160024394567;2=239/400;3=3/5;4=241/400;5=5575815000/9240463139;6=90292230000/149592224567;7=92030925000/152245473137;8=121/200;9=243/400;10=125006175000/205652670619;11=61/100;12=49/80;13=13130145000/21381662453;14=123/200;15=247/400;16=31/50;17=45146115000/72746701967;18=249/400;19=5/8;20=251/400;21=63/100;22=253/400;23=127/200;24=51/80;25=16/25;26=37771650000/58888402021;27=257/400;28=19605285000/30450096023;29=129/200;30=259/400;31=13/20;32=38311245000/58888402021;33=66849825000/102707414567;34=261/400;35=131/200;36=263/400;37=33/50;38=53/80;39=133/200;40=267/400;41=67/100;42=269/400;43=27/40;44=271/400;45=17/25;46=273/400;47=57736665000/84481094567;48=137/200;49=11/16;50=69/100;51=277/400;52=139/200;53=279/400;54=7/10;55=281/400;56=141/200;57=283/400;58=71/100;59=57/80;60=143/200;61=287/400;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37877439,38102339;1,2,38102339,37590304;2,3,37590304,36384286;3,4,36384286,36300625;4,5,36300625,36410718;5,6,36410718,36431976;6,7,36431976,36540863;7,8,36540863,36602500;8,9,36602500,36905625;9,10,36905625,36948280;10,11,36948280,37210000;11,12,37210000,37515625;12,13,37515625,37709963;13,14,37709963,36358984;14,15,36358984,32948615;15,16,32948615,30704397;16,17,30704397,30526791;17,18,30526791,29969917;18,19,29969917,29271936;19,20,29271936,28610453;20,21,28610453,27985469;21,22,27985469,27396983;22,23,27396983,26844996;23,24,26844996,26329507;24,25,26329507,25850517;25,26,25850517,25596345;26,27,25596345,25408026;27,28,25408026,25184306;28,29,25184306,25002033;29,30,25002033,24632539;30,31,24632539,24299543;31,32,24299543,24228277;32,33,24228277,24191457;33,34,24191457,23422063;34,35,23422063,22269847;35,36,22269847,21626383;36,37,21626383,21780000;37,38,21780000,21945313;38,39,21945313,22111250;39,40,22111250,22277813;40,41,22277813,22445000;41,42,22445000,22612813;42,43,22612813,22781250;43,44,22781250,22950313;44,45,22950313,23120000;45,46,23120000,23290313;46,47,23290313,23353627;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;138204971417/37771650000,1/3,160024394567/75543300000;-2000954707639
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;403/210,5/3,251/420;-33
10;6;1;-1
11;2,3,7;139/84,4/3,251/420;-29
14;6;1;-1
15;2,3,10;139/84,4/3,251/420;-29
17;2,3,5;39/35,11/3,251/420;-19
18;1,4,8;101839266167/25181100000,4/3,160024394567/75543300000;-1281494707639
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;139/84,4/3,251/420;-29
29;1,3,9;169/210,10/3,177/140;-169
30;1,4,11;101839266167/25181100000,4/3,160024394567/75543300000;-1281494707639
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;139/84,4/3,251/420;-29
41;1,3,12;169/210,10/3,177/140;-169
42;1,4,14;138204971417/37771650000,1/3,160024394567/75543300000;-2000954707639
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;139/84,4/3,251/420;-29
56;2,3,7;139/84,4/3,251/420;-29
58;2,3,10;139/84,4/3,251/420;-29
59;2,3,13;39/35,11/3,251/420;-19
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;613/210,5/3,107/140;-29
70;6;1;-1
72;1,4,6;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
74;6;1;-1
77;2,3,5;74/35,4,107/140;-5
78;1,4,8;143236994567/25181100000,1/3,160024394567/75543300000;-2360684707639
79;1,4,8;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;42512594567/12590550000,14/3,160024394567/75543300000;-202304707639
84;1,4,8;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
86;8;1;-1
89;1,3,9;169/210,10/3,177/140;-169
90;1,4,11;143236994567/25181100000,1/3,160024394567/75543300000;-2360684707639
91;1,4,11;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;42512594567/12590550000,14/3,160024394567/75543300000;-202304707639
96;1,4,11;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
98;11;1;-1
101;1,3,12;169/210,10/3,177/140;-169
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;49227554567/15108660000,11/3,160024394567/75543300000;-82394707639
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;613/210,5/3,107/140;-29
119;2,3,13;74/35,4,107/140;-5
120;0,1,6;5/3,2,1;-1
121;1,4,6;22402935923/4721456250,5/3,160024394567/75543300000;-921764707639
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;823/210,13/6,71/70;-29
130;6;1;-1
132;1,4,6;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;56752506617/12590550000,11/3,160024394567/75543300000;-741899707639
144;1,4,8;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
146;8;1;-1
149;1,3,9;169/210,10/3,177/140;-169
150;0,1,11;2/3,3,1;-2
151;1,4,11;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;56752506617/12590550000,11/3,160024394567/75543300000;-741899707639
156;1,4,11;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
158;11;1;-1
161;1,3,12;169/210,10/3,177/140;-169
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;69896201447/15108660000,8/3,160024394567/75543300000;-801854707639
169;14;1;-1
171;1,4,14;22402935923/4721456250,5/3,160024394567/75543300000;-921764707639
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;823/210,13/6,71/70;-29
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;1175200930540,23354500003853682825000,1224167521395,8365
4;1,4,6,3;1175200930540,28875608700248838780000,6342806356068,10276
5;5,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
12;1,4,6,3;1175200930540,28875608700248838780000,6342806356068,10276
13;5,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
16;5,4,2,3;155478864590,16990641699641605800000,22341927955620,63840
19;1,4,8,3;1175200930540,28875608700248838780000,6342806356068,10276
22;1,4,8,3;1175200930540,999216538937832600000,155478864590,17920
23;7,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
24;1,4,8,3;1175200930540,28875608700248838780000,6342806356068,10276
25;7,4,2,3;1224167521395,2974591723740602175000,22341927955620,4305
28;7,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
31;1,4,11,3;1175200930540,28875608700248838780000,6342806356068,10276
34;1,4,11,3;1175200930540,999216538937832600000,155478864590,17920
35;10,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
36;1,4,11,3;1175200930540,28875608700248838780000,6342806356068,10276
37;10,4,2,3;1224167521395,2974591723740602175000,22341927955620,4305
40;10,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
44;1,4,14,3;1175200930540,28875608700248838780000,6342806356068,10276
48;1,4,14,3;1175200930540,28875608700248838780000,6342806356068,10276
50;13,4,2,3;155478864590,16990641699641605800000,22341927955620,63840
51;1,4,14,3;1175200930540,23354500003853682825000,1224167521395,8365
53;13,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
57;13,4,2,3;6342806356068,12574058398777445220000,22341927955620,16212
61;1,4,6,3;1175200930540,5946213044207365650000,3854569147905,2030
65;1,4,9,3;1175200930540,37367200006165892520000,41320175994972,13384
71;7,4,2,3;41320175994972,5352200731582107480000,29881654930540,4256
73;1,4,12,3;1175200930540,37367200006165892520000,41320175994972,13384
75;10,4,2,3;41320175994972,5352200731582107480000,29881654930540,4256
76;1,4,2,3;1175200930540,81525573927000000000000,29881654930540,9800
83;1,4,2,3;1175200930540,81525573927000000000000,29881654930540,9800
85;7,4,12,3;3854569147905,12017900367332526870000,41320175994972,16422
87;10,4,2,3;41320175994972,5352200731582107480000,29881654930540,4256
88;1,4,2,3;1175200930540,81525573927000000000000,29881654930540,9800
95;1,4,2,3;1175200930540,81525573927000000000000,29881654930540,9800
97;10,4,9,3;3854569147905,12017900367332526870000,41320175994972,16422
99;7,4,2,3;41320175994972,5352200731582107480000,29881654930540,4256
100;1,4,2,3;1175200930540,81525573927000000000000,29881654930540,9800
110;1,4,2,3;1175200930540,81525573927000000000000,29881654930540,9800
111;1,4,14,3;1175200930540,5946213044207365650000,3854569147905,2030
113;1,4,9,3;1175200930540,37367200006165892520000,41320175994972,13384
116;7,4,2,3;41320175994972,5352200731582107480000,29881654930540,4256
117;1,4,12,3;1175200930540,37367200006165892520000,41320175994972,13384
118;10,4,2,3;41320175994972,5352200731582107480000,29881654930540,4256
125;1,4,9,3;1175200930540,4756970435365892520000,10403053081092,1624
131;7,4,2,3;10403053081092,420690122707203720000,6545291595010,3598
133;1,4,12,3;1175200930540,4756970435365892520000,10403053081092,1624
135;10,4,2,3;10403053081092,420690122707203720000,6545291595010,3598
136;1,4,2,6,3;1175200930540,20381393481750000000000,78087165643,1,3325
137;5,2,3;1,1,175
143;1,4,2,8,3;1175200930540,20381393481750000000000,78087165643,1,3325
145;1,4,12,3;1175200930540,4756970435365892520000,10403053081092,1624
147;10,4,2,3;10403053081092,420690122707203720000,6545291595010,3598
148;1,4,2,8,3;1175200930540,20381393481750000000000,78087165643,1,3325
155;1,4,2,11,3;1175200930540,20381393481750000000000,78087165643,1,3325
157;1,4,9,3;1175200930540,4756970435365892520000,10403053081092,1624
159;7,4,2,3;10403053081092,420690122707203720000,6545291595010,3598
160;1,4,2,11,3;1175200930540,20381393481750000000000,78087165643,1,3325
170;1,4,2,14,3;1175200930540,20381393481750000000000,78087165643,1,3325
173;1,4,9,3;1175200930540,4756970435365892520000,10403053081092,1624
176;7,4,2,3;10403053081092,420690122707203720000,6545291595010,3598
177;1,4,12,3;1175200930540,4756970435365892520000,10403053081092,1624
178;10,4,2,3;10403053081092,420690122707203720000,6545291595010,3598
179;13,2,3;1,1,175
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
5:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
12:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
13:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
16:V/3,5/13/0/5;V/2,3/14/0/17;E/4,5/15/0/5;E/4,2/16/0/17;E/4,3/17/5/17
19:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
22:V/3,1/5/0/1;V/8,3/13/0/5;E/4,1/7/0/1;E/4,8/15/0/5;E/4,3/9/1/5
23:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
24:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
25:V/3,7/1/0/13;V/2,3/18/0/17;E/4,7/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
28:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
31:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
34:V/3,1/5/0/1;V/11,3/13/0/5;E/4,1/7/0/1;E/4,11/15/0/5;E/4,3/9/1/5
35:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
36:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
37:V/3,10/1/0/13;V/2,3/18/0/17;E/4,10/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
40:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
44:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
48:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
50:V/3,13/13/0/5;V/2,3/14/0/17;E/4,13/15/0/5;E/4,2/16/0/17;E/4,3/17/5/17
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
57:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
61:V/3,1/21/0/1;V/6,3/22/0/6;E/4,1/23/0/1;E/4,6/24/0/6;E/4,3/25/1/6
65:V/3,1/26/0/1;V/9,3/27/0/33;E/4,1/28/0/1;E/4,9/29/0/33;E/4,3/30/1/33
71:V/3,7/27/0/33;V/2,3/31/0/47;E/4,7/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
73:V/3,1/26/0/1;V/12,3/27/0/33;E/4,1/28/0/1;E/4,12/29/0/33;E/4,3/30/1/33
75:V/3,10/27/0/33;V/2,3/31/0/47;E/4,10/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
76:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
83:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
85:V/3,7/22/0/6;V/12,3/41/0/33;E/4,7/24/0/6;E/4,12/42/0/33;E/4,3/43/6/33
87:V/3,10/41/0/33;V/2,3/44/0/47;E/4,10/42/0/33;E/4,2/45/0/47;E/4,3/46/33/47
88:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
95:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
97:V/3,10/22/0/6;V/9,3/41/0/33;E/4,10/24/0/6;E/4,9/42/0/33;E/4,3/43/6/33
99:V/3,7/41/0/33;V/2,3/44/0/47;E/4,7/42/0/33;E/4,2/45/0/47;E/4,3/46/33/47
100:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
110:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
111:V/3,1/21/0/1;V/14,3/22/0/6;E/4,1/23/0/1;E/4,14/24/0/6;E/4,3/25/1/6
113:V/3,1/26/0/1;V/9,3/27/0/33;E/4,1/28/0/1;E/4,9/29/0/33;E/4,3/30/1/33
116:V/3,7/27/0/33;V/2,3/31/0/47;E/4,7/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
117:V/3,1/26/0/1;V/12,3/27/0/33;E/4,1/28/0/1;E/4,12/29/0/33;E/4,3/30/1/33
118:V/3,10/27/0/33;V/2,3/31/0/47;E/4,10/29/0/33;E/4,2/32/0/47;E/4,3/33/33/47
125:V/3,1/47/0/1;V/9,3/48/0/7;E/4,1/49/0/1;E/4,9/50/0/7;E/4,3/51/1/7
131:V/3,7/48/0/7;V/2,3/52/0/32;E/4,7/50/0/7;E/4,2/53/0/32;E/4,3/54/7/32
133:V/3,1/47/0/1;V/12,3/48/0/7;E/4,1/49/0/1;E/4,12/50/0/7;E/4,3/51/1/7
135:V/3,10/48/0/7;V/2,3/52/0/32;E/4,10/50/0/7;E/4,2/53/0/32;E/4,3/54/7/32
136:V/3,1/55/0/1;V/2,6/56/0/26;V/6,3/57/0/28;E/4,1/58/0/1;E/4,2/59/0/26;E/4,6/60/26/28;E/4,3/61/1/28
137:V/3,5/57/0/28;V/5,2/56/0/26;V/2,3/62/0/32;E/4,5/60/26/28;E/4,2/63/26/32;E/4,3/64/28/32
143:V/3,1/47/0/1;V/2,8/56/0/26;V/8,3/57/0/28;E/4,1/49/0/1;E/4,2/65/0/26;E/4,8/60/26/28;E/4,3/51/1/28
145:V/3,1/66/0/1;V/12,3/67/0/7;E/4,1/68/0/1;E/4,12/69/0/7;E/4,3/70/1/7
147:V/3,10/67/0/7;V/2,3/71/0/32;E/4,10/69/0/7;E/4,2/72/0/32;E/4,3/73/7/32
148:V/3,1/47/0/1;V/2,8/56/0/26;V/8,3/57/0/28;E/4,1/49/0/1;E/4,2/65/0/26;E/4,8/60/26/28;E/4,3/51/1/28
155:V/3,1/47/0/1;V/2,11/56/0/26;V/11,3/57/0/28;E/4,1/49/0/1;E/4,2/65/0/26;E/4,11/60/26/28;E/4,3/51/1/28
157:V/3,1/66/0/1;V/9,3/67/0/7;E/4,1/68/0/1;E/4,9/69/0/7;E/4,3/70/1/7
159:V/3,7/67/0/7;V/2,3/71/0/32;E/4,7/69/0/7;E/4,2/72/0/32;E/4,3/73/7/32
160:V/3,1/47/0/1;V/2,11/56/0/26;V/11,3/57/0/28;E/4,1/49/0/1;E/4,2/65/0/26;E/4,11/60/26/28;E/4,3/51/1/28
170:V/3,1/55/0/1;V/2,14/56/0/26;V/14,3/57/0/28;E/4,1/58/0/1;E/4,2/59/0/26;E/4,14/60/26/28;E/4,3/61/1/28
173:V/3,1/47/0/1;V/9,3/48/0/7;E/4,1/49/0/1;E/4,9/50/0/7;E/4,3/51/1/7
176:V/3,7/48/0/7;V/2,3/52/0/32;E/4,7/50/0/7;E/4,2/53/0/32;E/4,3/54/7/32
177:V/3,1/47/0/1;V/12,3/48/0/7;E/4,1/49/0/1;E/4,12/50/0/7;E/4,3/51/1/7
178:V/3,10/48/0/7;V/2,3/52/0/32;E/4,10/50/0/7;E/4,2/53/0/32;E/4,3/54/7/32
179:V/3,13/57/0/28;V/13,2/56/0/26;V/2,3/62/0/32;E/4,13/60/26/28;E/4,2/63/26/32;E/4,3/64/28/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37877439/100000000,38102339/100000000;4,3787,0,2221,5950,5950,2159;10,3810233900,0,2227564084,5968359716,5968359716,852530039632
1;C;0,3;18192143/50000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
1;C;3,4;58081/160000;2,36,0,0,60,60,0;8,36300625,0,0,60250000,60250000,0
1;L;4,5;58081/160000,18205359/50000000;8,36300625,0,0,60250000,60250000,0;8,36410718,0,0,60341294,60341294,76811128
1;L;5,6;18205359/50000000,4553997/12500000;8,36410718,0,0,60341294,60341294,76811128;8,36431976,0,0,60358906,60358906,132966328
1;L;6,7;4553997/12500000,36540863/100000000;8,36431976,0,0,60358906,60358906,132966328;10,3654086300,0,0,6044903872,6044903872,356558815232
1;L;7,8;36540863/100000000,14641/40000;10,3654086300,0,0,6044903872,6044903872,356558815232;6,366025,0,0,605000,605000,0
1;L;8,9;14641/40000,59049/160000;6,366025,0,0,605000,605000,0;8,36905625,0,0,60750000,60750000,0
1;L;9,10;59049/160000,923707/2500000;8,36905625,0,0,60750000,60750000,0;10,3694828000,0,0,6078509685,6078509685,18722401550
1;L;10,11;923707/2500000,3721/10000;10,3694828000,0,0,6078509685,6078509685,18722401550;4,3721,0,0,6100,6100,0
1;L;11,12;3721/10000,2401/6400;4,3721,0,0,6100,6100,0;8,37515625,0,0,61250000,61250000,0
1;L;12,13;2401/6400,37709963/100000000;8,37515625,0,0,61250000,61250000,0;10,3770996300,0,0,6140843833,6140843833,37411736222
2;L;0,1;37877439/100000000,38102339/100000000;8,37877439,0,59500000,59500000,22248320,57177600;10,3810233900,0,5968359716,5968359716,2227564084,852530039632
3;C;0,3;18192143/50000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
3;C;3,4;58081/160000;2,36,0,0,60,60,0;8,36300625,0,0,60250000,60250000,0
3;L;4,5;58081/160000,18205359/50000000;8,36300625,0,0,60250000,60250000,0;8,36410718,0,0,60341294,60341294,76811128
3;L;5,6;18205359/50000000,4553997/12500000;8,36410718,0,0,60341294,60341294,76811128;8,36431976,0,0,60358906,60358906,132966328
3;L;6,7;4553997/12500000,36540863/100000000;8,36431976,0,0,60358906,60358906,132966328;10,3654086300,0,0,6044903872,6044903872,356558815232
3;L;7,8;36540863/100000000,14641/40000;10,3654086300,0,0,6044903872,6044903872,356558815232;6,366025,0,0,605000,605000,0
3;L;8,9;14641/40000,59049/160000;6,366025,0,0,605000,605000,0;8,36905625,0,0,60750000,60750000,0
3;L;9,10;59049/160000,923707/2500000;8,36905625,0,0,60750000,60750000,0;10,3694828000,0,0,6078509685,6078509685,18722401550
3;L;10,11;923707/2500000,3721/10000;10,3694828000,0,0,6078509685,6078509685,18722401550;4,3721,0,0,6100,6100,0
3;L;11,12;3721/10000,2401/6400;4,3721,0,0,6100,6100,0;8,37515625,0,0,61250000,61250000,0
3;L;12,13;2401/6400,37709963/100000000;8,37515625,0,0,61250000,61250000,0;10,3770996300,0,0,6140843833,6140843833,37411736222
4;L;1,2;38102339/100000000,1174697/3125000;10,3810233900,5968359716,5968359716,0,2227564084,852530039632;10,3759030400,5975000000,5975000000,0,1944057039,229114552479
4;L;2,3;1174697/3125000,18192143/50000000;10,3759030400,5975000000,5975000000,0,1944057039,229114552479;8,36384286,60000000,60000000,0,8766818,102154876
4;L;3,4;18192143/50000000,58081/160000;8,36384286,60000000,60000000,0,8766818,102154876;8,36300625,60250000,60250000,0,0,0
4;L;4,5;58081/160000,18205359/50000000;8,36300625,60250000,60250000,0,0,0;8,36410718,60341294,60341294,0,0,76811128
4;L;5,6;18205359/50000000,4553997/12500000;8,36410718,60341294,60341294,0,0,76811128;8,36431976,60358906,60358906,0,0,132966328
4;L;6,7;4553997/12500000,36540863/100000000;8,36431976,60358906,60358906,0,0,132966328;10,3654086300,6044903872,6044903872,0,0,356558815232
4;L;7,8;36540863/100000000,14641/40000;10,3654086300,6044903872,6044903872,0,0,356558815232;6,366025,605000,605000,0,0,0
4;L;8,9;14641/40000,59049/160000;6,366025,605000,605000,0,0,0;8,36905625,60750000,60750000,0,0,0
4;L;9,10;59049/160000,923707/2500000;8,36905625,60750000,60750000,0,0,0;10,3694828000,6078509685,6078509685,0,0,18722401550
4;L;10,11;923707/2500000,3721/10000;10,3694828000,6078509685,6078509685,0,0,18722401550;4,3721,6100,6100,0,0,0
4;L;11,12;3721/10000,2401/6400;4,3721,6100,6100,0,0,0;8,37515625,61250000,61250000,0,0,0
4;L;12,13;2401/6400,37709963/100000000;8,37515625,61250000,61250000,0,0,0;10,3770996300,6140843833,6140843833,0,0,37411736222
5;C;0,1;37877439/100000000;2,37,0,12,60,60,56;2,37,0,12,60,60,56
6;C;0,2;1174697/3125000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
6;C;2,3;18192143/50000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
6;C;3,4;58081/160000;2,36,0,0,60,60,0;8,36300625,0,0,60250000,60250000,0
6;L;4,5;58081/160000,18205359/50000000;8,36300625,0,0,60250000,60250000,0;8,36410718,0,0,60341294,60341294,76811128
6;L;5,6;18205359/50000000,4553997/12500000;8,36410718,0,0,60341294,60341294,76811128;8,36431976,0,0,60358906,60358906,132966328
6;L;6,7;4553997/12500000,36540863/100000000;8,36431976,0,0,60358906,60358906,132966328;10,3654086300,0,0,6044903872,6044903872,356558815232
6;L;7,8;36540863/100000000,14641/40000;10,3654086300,0,0,6044903872,6044903872,356558815232;6,366025,0,0,605000,605000,0
6;L;8,9;14641/40000,59049/160000;6,366025,0,0,605000,605000,0;8,36905625,0,0,60750000,60750000,0
6;L;9,10;59049/160000,923707/2500000;8,36905625,0,0,60750000,60750000,0;10,3694828000,0,0,6078509685,6078509685,18722401550
7;C;0,1;37877439/100000000;2,37,0,60,60,12,56;2,37,0,60,60,12,56
8;C;0,2;1174697/3125000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
8;C;2,3;18192143/50000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
8;C;3,4;58081/160000;2,36,0,0,60,60,0;8,36300625,0,0,60250000,60250000,0
8;L;4,5;58081/160000,18205359/50000000;8,36300625,0,0,60250000,60250000,0;8,36410718,0,0,60341294,60341294,76811128
8;L;5,6;18205359/50000000,4553997/12500000;8,36410718,0,0,60341294,60341294,76811128;8,36431976,0,0,60358906,60358906,132966328
8;L;6,7;4553997/12500000,36540863/100000000;8,36431976,0,0,60358906,60358906,132966328;10,3654086300,0,0,6044903872,6044903872,356558815232
8;L;7,8;36540863/100000000,14641/40000;10,3654086300,0,0,6044903872,6044903872,356558815232;6,366025,0,0,605000,605000,0
8;L;8,9;14641/40000,59049/160000;6,366025,0,0,605000,605000,0;8,36905625,0,0,60750000,60750000,0
8;L;9,10;59049/160000,923707/2500000;8,36905625,0,0,60750000,60750000,0;10,3694828000,0,0,6078509685,6078509685,18722401550
9;C;1,3;18192143/50000000;4,3638,5969,5969,0,1166,142522;2,36,60,60,0,0,0
9;C;3,4;58081/160000;2,36,60,60,0,0,0;8,36300625,60250000,60250000,0,0,0
9;L;4,5;58081/160000,18205359/50000000;8,36300625,60250000,60250000,0,0,0;8,36410718,60341294,60341294,0,0,76811128
9;L;5,6;18205359/50000000,4553997/12500000;8,36410718,60341294,60341294,0,0,76811128;8,36431976,60358906,60358906,0,0,132966328
9;L;6,7;4553997/12500000,36540863/100000000;8,36431976,60358906,60358906,0,0,132966328;10,3654086300,6044903872,6044903872,0,0,356558815232
9;L;7,8;36540863/100000000,14641/40000;10,3654086300,6044903872,6044903872,0,0,356558815232;6,366025,605000,605000,0,0,0
9;L;8,9;14641/40000,59049/160000;6,366025,605000,605000,0,0,0;8,36905625,60750000,60750000,0,0,0
9;L;9,10;59049/160000,923707/2500000;8,36905625,60750000,60750000,0,0,0;10,3694828000,6078509685,6078509685,0,0,18722401550
10;C;0,17;30526791/100000000;2,30,0,0,21,60,1959;2,30,0,0,22,63,1547
11;C;0,17;30526791/100000000;2,30,0,0,60,26,1724;2,30,0,0,63,22,1547
12;C;10,13;923707/2500000;10,3694828000,6078509685,0,0,6078509685,18722401550;2,36,62,0,0,42,1592
12;C;13,17;30526791/100000000;2,30,62,0,0,42,392;2,30,63,0,0,22,1547
13;C;0,2;1174697/3125000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
13;C;2,3;18192143/50000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
13;C;3,4;58081/160000;2,36,0,0,60,60,0;8,36300625,0,0,60250000,60250000,0
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43;L;27,28;12704013/50000000,12592153/50000000;8,25408026,64250000,0,0,30879485,106134775;10,2518430600,6438496938,0,0,2985693987,595356667987
43;L;28,29;12592153/50000000,25002033/100000000;10,2518430600,6438496938,0,0,2985693987,595356667987;8,25002033,64500000,0,0,28985454,56413884
43;L;29,30;25002033/100000000,24632539/100000000;8,25002033,64500000,0,0,28985454,56413884;8,24632539,64750000,0,0,27091422,154017916
43;L;30,31;24632539/100000000,24299543/100000000;8,24632539,64750000,0,0,27091422,154017916;8,24299543,65000000,0,0,25197391,86793119
43;L;31,32;24299543/100000000,24228277/100000000;8,24299543,65000000,0,0,25197391,86793119;8,24228277,65057369,0,0,24762756,54082303
43;L;32,33;24228277/100000000,24191457/100000000;8,24228277,65057369,0,0,24762756,54082303;8,24191457,65087633,0,0,24533472,182082527
44;C;0,47;21626383/100000000;2,21,0,0,25,35,2350;2,21,0,0,29,40,1759
45;C;0,47;21626383/100000000;2,21,0,0,20,47,1591;2,21,0,0,29,40,1759
46;L;33,34;24191457/100000000,23422063/100000000;8,24191457,24533472,0,0,65087633,182082527;10,2342206300,2473743772,0,0,6381592085,211156564791
46;L;34,35;23422063/100000000,22269847/100000000;10,2342206300,2473743772,0,0,6381592085,211156564791;8,22269847,25051489,0,0,61857839,53132958
46;L;35,36;22269847/100000000,21626383/100000000;8,22269847,25051489,0,0,61857839,53132958;4,2162,2537,0,0,5990,923531
46;C;36,40;21626383/100000000;4,2162,2537,0,0,5990,923531;2,21,27,0,0,53,662
46;C;40,47;22277813/100000000;2,22,27,0,0,53,862;2,22,29,0,0,40,1959
47;C;0,1;37877439/100000000;2,37,0,0,12,60,3656;2,37,0,0,12,60,3656
48;C;0,7;58081/160000;2,36,0,0,6,60,3564;2,36,0,0,6,61,3443
49;C;0,1;37877439/100000000;2,37,0,0,60,12,3656;2,37,0,0,60,12,3656
50;C;0,7;58081/160000;2,36,0,0,6,60,3564;2,36,0,0,6,61,3443
51;C;1,28;12592153/50000000;2,25,60,0,0,12,1256;2,25,65,0,0,0,775
52;C;0,32;24228277/100000000;2,24,0,0,6,27,4035;2,24,0,0,6,30,3864
53;C;0,32;24228277/100000000;2,24,0,0,6,34,3608;2,24,0,0,6,30,3864
54;C;7,32;24228277/100000000;2,24,6,0,0,61,1043;2,24,6,0,0,30,3864
55;C;0,1;37877439/100000000;2,37,0,0,0,60,3800;2,37,0,0,0,60,3800
56;C;0,26;5119269/20000000;2,25,0,0,0,60,1400;2,25,0,0,0,65,775
57;C;0,28;12592153/50000000;2,25,0,0,0,60,1400;2,25,0,0,0,65,775
58;C;0,1;37877439/100000000;2,37,0,0,60,1,3799;2,37,0,0,60,0,3800
59;C;0,26;5119269/20000000;2,25,0,0,60,0,1400;2,25,0,0,65,0,775
60;C;26,28;12592153/50000000;2,25,0,0,0,65,775;2,25,0,0,0,65,775
61;C;1,28;12592153/50000000;2,25,60,0,0,0,1400;2,25,65,0,0,0,775
62;C;0,32;24228277/100000000;2,24,0,0,0,56,1664;2,24,0,0,0,61,1079
63;C;26,32;24228277/100000000;2,24,0,0,0,65,575;2,24,0,0,0,61,1079
64;C;28,32;24228277/100000000;2,24,0,0,0,65,575;2,24,0,0,0,61,1079
65;C;0,26;5119269/20000000;2,25,0,0,60,0,1400;2,25,0,0,65,0,775
66;C;0,1;37877439/100000000;2,37,0,0,23,60,3271;2,37,0,0,23,60,3271
67;C;0,7;58081/160000;2,36,0,0,18,60,3276;2,36,0,0,18,61,3155
68;C;0,1;37877439/100000000;2,37,0,0,60,23,3271;2,37,0,0,60,23,3271
69;C;0,7;58081/160000;2,36,0,0,17,60,3311;2,36,0,0,18,61,3155
70;C;1,7;58081/160000;2,36,60,0,0,23,3071;2,36,61,0,0,18,3155
71;C;0,32;24228277/100000000;2,24,0,0,20,27,3671;2,24,0,0,22,30,3416
72;C;0,32;24228277/100000000;2,24,0,0,16,34,3388;2,24,0,0,22,30,3416
73;C;7,32;24228277/100000000;2,24,18,0,0,61,755;2,24,22,0,0,30,3416
MASS SLACK NUMERATOR 22425707692936772455134390920776294816570334370654119627130089012653953664000103109150552866097082591377166377463917
BIN 21: PATH1; (177/140,711/560]; gamma0=1489/2500; mass ceiling=99345259/100000000.
GAMMA 0=1489/2500;1=95913011250/160530644567;2=5981/10000;3=3003/5000;4=6031/10000;5=91101622500/150907867067;6=147399367500/244069896019;7=185410837500/306710520289;8=757/1250;9=6081/10000;10=508118625000/835076745691;11=3053/5000;12=6131/10000;13=213319890000/346936953653;14=1539/2500;15=6181/10000;16=3103/5000;17=45550811250/73252951967;18=6231/10000;19=391/625;20=6281/10000;21=3153/5000;22=6331/10000;23=1589/2500;24=6381/10000;25=37771650000/59141527021;26=3203/5000;27=318001320000/495261906443;28=6431/10000;29=807/1250;30=6481/10000;31=3253/5000;32=67524318750/103753259567;33=38513593125/59141527021;34=6531/10000;35=1639/2500;36=6581/10000;37=3303/5000;38=6631/10000;39=416/625;40=6681/10000;41=3353/5000;42=6731/10000;43=1689/2500;44=6781/10000;45=3403/5000;46=6831/10000;47=58141361250/84987344567;48=857/1250;49=6881/10000;50=3453/5000;51=6931/10000;52=1739/2500;53=6981/10000;54=3503/5000;55=7031/10000;56=441/625;57=7081/10000;58=3553/5000;59=7131/10000;60=1789/2500;61=7181/10000;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37838147,38067455;1,2,38067455,37606071;2,3,37606071,36448138;3,4,36448138,36372961;4,5,36372961,36444204;5,6,36444204,36472272;6,7,36472272,36543732;7,8,36543732,36675136;8,9,36675136,36978561;9,10,36978561,37023498;10,11,37023498,37283236;11,12,37283236,37589161;12,13,37589161,37806075;13,14,37806075,36727636;14,15,36727636,33311236;15,16,33311236,30510550;16,17,30510550,30145548;17,18,30145548,29777529;18,19,29777529,29081664;19,20,29081664,28422956;20,21,28422956,27801403;21,22,27801403,27217007;22,23,27217007,26669767;23,24,26669767,26159683;24,25,26159683,26049464;25,26,26049464,25686755;26,27,25686755,25423049;27,28,25423049,25250983;28,29,25250983,24852367;29,30,24852367,24490907;30,31,24490907,24166604;31,32,24166604,24140284;32,33,24140284,23949843;33,34,23949843,23051199;34,35,23051199,21897363;35,36,21897363,21655300;36,37,21655300,21819618;37,38,21819618,21985081;38,39,21985081,22151168;39,40,22151168,22317881;40,41,22317881,22485218;41,42,22485218,22653181;42,43,22653181,22821768;43,44,22821768,22990981;44,45,22990981,23160818;45,46,23160818,23331281;46,47,23331281,23400864;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;138711221417/37771650000,1/3,160530644567/75543300000;-176077379760263
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;1639/840,5/3,1013/1680;-129
10;6;1;-1
11;2,3,7;565/336,4/3,1013/1680;-107
14;6;1;-1
15;2,3,10;565/336,4/3,1013/1680;-107
17;2,3,5;81/70,11/3,1013/1680;-73
18;1,4,8;102345516167/25181100000,4/3,160530644567/75543300000;-113124629760263
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;565/336,4/3,1013/1680;-107
29;1,3,9;667/840,10/3,711/560;-667
30;1,4,11;102345516167/25181100000,4/3,160530644567/75543300000;-113124629760263
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;565/336,4/3,1013/1680;-107
41;1,3,12;667/840,10/3,711/560;-667
42;1,4,14;138711221417/37771650000,1/3,160530644567/75543300000;-176077379760263
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;565/336,4/3,1013/1680;-107
56;2,3,7;565/336,4/3,1013/1680;-107
58;2,3,10;565/336,4/3,1013/1680;-107
59;2,3,13;81/70,11/3,1013/1680;-73
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;2479/840,5/3,431/560;-107
70;6;1;-1
72;1,4,6;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
74;6;1;-1
77;2,3,5;151/70,4,431/560;-17
78;1,4,8;143743244567/25181100000,1/3,160530644567/75543300000;-207553754760263
79;1,4,8;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;43018844567/12590550000,14/3,160530644567/75543300000;-18695504760263
84;1,4,8;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
86;8;1;-1
89;1,3,9;667/840,10/3,711/560;-667
90;1,4,11;143743244567/25181100000,1/3,160530644567/75543300000;-207553754760263
91;1,4,11;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;43018844567/12590550000,14/3,160530644567/75543300000;-18695504760263
96;1,4,11;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
98;11;1;-1
101;1,3,12;667/840,10/3,711/560;-667
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;49733804567/15108660000,11/3,160530644567/75543300000;-8203379760263
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;2479/840,5/3,431/560;-107
119;2,3,13;151/70,4,431/560;-17
120;0,1,6;5/3,2,1;-1
121;1,4,6;22529498423/4721456250,5/3,160530644567/75543300000;-81648254760263
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;3319/840,13/6,571/560;-107
130;6;1;-1
132;1,4,6;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;57258756617/12590550000,11/3,160530644567/75543300000;-65910067260263
144;1,4,8;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
146;8;1;-1
149;1,3,9;667/840,10/3,711/560;-667
150;0,1,11;2/3,3,1;-2
151;1,4,11;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;57258756617/12590550000,11/3,160530644567/75543300000;-65910067260263
156;1,4,11;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
158;11;1;-1
161;1,3,12;667/840,10/3,711/560;-667
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;70402451447/15108660000,8/3,160530644567/75543300000;-71156129760263
169;14;1;-1
171;1,4,14;22529498423/4721456250,5/3,160530644567/75543300000;-81648254760263
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;3319/840,13/6,571/560;-107
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;421343084252720,2024749208348506028025000,1754613106121715,265160
4;1,4,6,3;421343084252720,2481568860498914467260000,2256852205952484,161392
5;5,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
12;1,4,6,3;421343084252720,2481568860498914467260000,2256852205952484,161392
13;5,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
16;5,4,2,3;710968100879260,1530140015773094178600000,8069682845510160,1051680
19;1,4,8,3;421343084252720,2481568860498914467260000,2256852205952484,161392
22;1,4,8,3;421343084252720,1436282489700182741400000,710968100879260,276640
23;7,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
24;1,4,8,3;421343084252720,2481568860498914467260000,2256852205952484,161392
25;7,4,2,3;1754613106121715,276573850972722816975000,8069682845510160,145320
28;7,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
31;1,4,11,3;421343084252720,2481568860498914467260000,2256852205952484,161392
34;1,4,11,3;421343084252720,1436282489700182741400000,710968100879260,276640
35;10,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
36;1,4,11,3;421343084252720,2481568860498914467260000,2256852205952484,161392
37;10,4,2,3;1754613106121715,276573850972722816975000,8069682845510160,145320
40;10,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
44;1,4,14,3;421343084252720,2481568860498914467260000,2256852205952484,161392
48;1,4,14,3;421343084252720,2481568860498914467260000,2256852205952484,161392
50;13,4,2,3;710968100879260,1530140015773094178600000,8069682845510160,1051680
51;1,4,14,3;421343084252720,2024749208348506028025000,1754613106121715,265160
53;13,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
57;13,4,2,3;2256852205952484,1139343090242034760740000,8069682845510160,268464
61;1,4,6,3;421343084252720,482754557390762056050000,640970859319770,29960
65;1,4,9,3;421343084252720,3239598733357609644840000,14436770926774896,212128
71;7,4,2,3;14436770926774896,494924757090406355160000,10532058356252720,70112
73;1,4,12,3;421343084252720,3239598733357609644840000,14436770926774896,212128
75;10,4,2,3;14436770926774896,494924757090406355160000,10532058356252720,70112
76;1,4,2,3;421343084252720,7133487718612500000000000,10532058356252720,156800
83;1,4,2,3;421343084252720,7133487718612500000000000,10532058356252720,156800
85;7,4,12,3;640970859319770,1057362061884605588790000,14436770926774896,264264
87;10,4,2,3;14436770926774896,494924757090406355160000,10532058356252720,70112
88;1,4,2,3;421343084252720,7133487718612500000000000,10532058356252720,156800
95;1,4,2,3;421343084252720,7133487718612500000000000,10532058356252720,156800
97;10,4,9,3;640970859319770,1057362061884605588790000,14436770926774896,264264
99;7,4,2,3;14436770926774896,494924757090406355160000,10532058356252720,70112
100;1,4,2,3;421343084252720,7133487718612500000000000,10532058356252720,156800
110;1,4,2,3;421343084252720,7133487718612500000000000,10532058356252720,156800
111;1,4,14,3;421343084252720,482754557390762056050000,640970859319770,29960
113;1,4,9,3;421343084252720,3239598733357609644840000,14436770926774896,212128
116;7,4,2,3;14436770926774896,494924757090406355160000,10532058356252720,70112
117;1,4,12,3;421343084252720,3239598733357609644840000,14436770926774896,212128
118;10,4,2,3;14436770926774896,494924757090406355160000,10532058356252720,70112
125;1,4,9,3;421343084252720,386203645912609644840000,3444905035998216,23968
131;7,4,2,3;3444905035998216,639834734396326339080000,4604459483809360,117152
133;1,4,12,3;421343084252720,386203645912609644840000,3444905035998216,23968
135;10,4,2,3;3444905035998216,639834734396326339080000,4604459483809360,117152
136;1,4,2,6,3;421343084252720,1783371929653125000000000,6367391265731,11,25550
137;5,2,3;11,11,3850
143;1,4,2,8,3;421343084252720,1783371929653125000000000,6367391265731,11,25550
145;1,4,12,3;421343084252720,386203645912609644840000,3444905035998216,23968
147;10,4,2,3;3444905035998216,639834734396326339080000,4604459483809360,117152
148;1,4,2,8,3;421343084252720,1783371929653125000000000,6367391265731,11,25550
155;1,4,2,11,3;421343084252720,1783371929653125000000000,6367391265731,11,25550
157;1,4,9,3;421343084252720,386203645912609644840000,3444905035998216,23968
159;7,4,2,3;3444905035998216,639834734396326339080000,4604459483809360,117152
160;1,4,2,11,3;421343084252720,1783371929653125000000000,6367391265731,11,25550
170;1,4,2,14,3;421343084252720,1783371929653125000000000,6367391265731,11,25550
173;1,4,9,3;421343084252720,386203645912609644840000,3444905035998216,23968
176;7,4,2,3;3444905035998216,639834734396326339080000,4604459483809360,117152
177;1,4,12,3;421343084252720,386203645912609644840000,3444905035998216,23968
178;10,4,2,3;3444905035998216,639834734396326339080000,4604459483809360,117152
179;13,2,3;11,11,3850
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
5:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
12:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
13:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
16:V/3,5/13/0/6;V/2,3/14/0/17;E/4,5/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
19:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
22:V/3,1/5/0/1;V/8,3/13/0/6;E/4,1/7/0/1;E/4,8/15/0/6;E/4,3/9/1/6
23:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
24:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
25:V/3,7/1/0/13;V/2,3/18/0/17;E/4,7/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
28:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
31:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
34:V/3,1/5/0/1;V/11,3/13/0/6;E/4,1/7/0/1;E/4,11/15/0/6;E/4,3/9/1/6
35:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
36:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
37:V/3,10/1/0/13;V/2,3/18/0/17;E/4,10/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
40:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
44:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
48:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
50:V/3,13/13/0/6;V/2,3/14/0/17;E/4,13/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
57:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
61:V/3,1/21/0/1;V/6,3/22/0/5;E/4,1/23/0/1;E/4,6/24/0/5;E/4,3/25/1/5
65:V/3,1/26/0/1;V/9,3/27/0/32;E/4,1/28/0/1;E/4,9/29/0/32;E/4,3/30/1/32
71:V/3,7/27/0/32;V/2,3/31/0/47;E/4,7/29/0/32;E/4,2/32/0/47;E/4,3/33/32/47
73:V/3,1/26/0/1;V/12,3/27/0/32;E/4,1/28/0/1;E/4,12/29/0/32;E/4,3/30/1/32
75:V/3,10/27/0/32;V/2,3/31/0/47;E/4,10/29/0/32;E/4,2/32/0/47;E/4,3/33/32/47
76:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
83:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
85:V/3,7/22/0/5;V/12,3/41/0/32;E/4,7/24/0/5;E/4,12/42/0/32;E/4,3/43/5/32
87:V/3,10/41/0/32;V/2,3/44/0/47;E/4,10/42/0/32;E/4,2/45/0/47;E/4,3/46/32/47
88:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
95:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
97:V/3,10/22/0/5;V/9,3/41/0/32;E/4,10/24/0/5;E/4,9/42/0/32;E/4,3/43/5/32
99:V/3,7/41/0/32;V/2,3/44/0/47;E/4,7/42/0/32;E/4,2/45/0/47;E/4,3/46/32/47
100:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
110:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
111:V/3,1/21/0/1;V/14,3/22/0/5;E/4,1/23/0/1;E/4,14/24/0/5;E/4,3/25/1/5
113:V/3,1/26/0/1;V/9,3/27/0/32;E/4,1/28/0/1;E/4,9/29/0/32;E/4,3/30/1/32
116:V/3,7/27/0/32;V/2,3/31/0/47;E/4,7/29/0/32;E/4,2/32/0/47;E/4,3/33/32/47
117:V/3,1/26/0/1;V/12,3/27/0/32;E/4,1/28/0/1;E/4,12/29/0/32;E/4,3/30/1/32
118:V/3,10/27/0/32;V/2,3/31/0/47;E/4,10/29/0/32;E/4,2/32/0/47;E/4,3/33/32/47
125:V/3,1/47/0/1;V/9,3/48/0/7;E/4,1/49/0/1;E/4,9/50/0/7;E/4,3/51/1/7
131:V/3,7/48/0/7;V/2,3/52/0/33;E/4,7/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
133:V/3,1/47/0/1;V/12,3/48/0/7;E/4,1/49/0/1;E/4,12/50/0/7;E/4,3/51/1/7
135:V/3,10/48/0/7;V/2,3/52/0/33;E/4,10/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
136:V/3,1/55/0/1;V/2,6/56/0/25;V/6,3/57/0/27;E/4,1/58/0/1;E/4,2/59/0/25;E/4,6/60/25/27;E/4,3/61/1/27
137:V/3,5/57/0/27;V/5,2/56/0/25;V/2,3/62/0/33;E/4,5/60/25/27;E/4,2/63/25/33;E/4,3/64/27/33
143:V/3,1/47/0/1;V/2,8/56/0/25;V/8,3/57/0/27;E/4,1/49/0/1;E/4,2/65/0/25;E/4,8/60/25/27;E/4,3/51/1/27
145:V/3,1/66/0/1;V/12,3/67/0/7;E/4,1/68/0/1;E/4,12/69/0/7;E/4,3/70/1/7
147:V/3,10/67/0/7;V/2,3/71/0/33;E/4,10/69/0/7;E/4,2/72/0/33;E/4,3/73/7/33
148:V/3,1/47/0/1;V/2,8/56/0/25;V/8,3/57/0/27;E/4,1/49/0/1;E/4,2/65/0/25;E/4,8/60/25/27;E/4,3/51/1/27
155:V/3,1/47/0/1;V/2,11/56/0/25;V/11,3/57/0/27;E/4,1/49/0/1;E/4,2/65/0/25;E/4,11/60/25/27;E/4,3/51/1/27
157:V/3,1/66/0/1;V/9,3/67/0/7;E/4,1/68/0/1;E/4,9/69/0/7;E/4,3/70/1/7
159:V/3,7/67/0/7;V/2,3/71/0/33;E/4,7/69/0/7;E/4,2/72/0/33;E/4,3/73/7/33
160:V/3,1/47/0/1;V/2,11/56/0/25;V/11,3/57/0/27;E/4,1/49/0/1;E/4,2/65/0/25;E/4,11/60/25/27;E/4,3/51/1/27
170:V/3,1/55/0/1;V/2,14/56/0/25;V/14,3/57/0/27;E/4,1/58/0/1;E/4,2/59/0/25;E/4,14/60/25/27;E/4,3/61/1/27
173:V/3,1/47/0/1;V/9,3/48/0/7;E/4,1/49/0/1;E/4,9/50/0/7;E/4,3/51/1/7
176:V/3,7/48/0/7;V/2,3/52/0/33;E/4,7/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
177:V/3,1/47/0/1;V/12,3/48/0/7;E/4,1/49/0/1;E/4,12/50/0/7;E/4,3/51/1/7
178:V/3,10/48/0/7;V/2,3/52/0/33;E/4,10/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
179:V/3,13/57/0/27;V/13,2/56/0/25;V/2,3/62/0/33;E/4,13/60/25/27;E/4,2/63/25/33;E/4,3/64/27/33
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37838147/100000000,7613491/20000000;6,378381,0,217026,595600,595600,182995324;8,38067455,0,21770822,59747478,59747478,54723348
1;C;0,3;18224069/50000000;2,36,0,0,60,60,0;4,3644,0,0,6006,6006,735928
1;C;3,4;36372961/100000000;4,3637,0,0,6006,6006,595928;8,36372961,0,0,60310000,60310000,0
1;L;4,5;36372961/100000000,9111051/25000000;8,36372961,0,0,60310000,60310000,0;8,36444204,0,0,60369035,60369035,26337550
1;L;5,6;9111051/25000000,2279517/6250000;8,36444204,0,0,60369035,60369035,26337550;8,36472272,0,0,60392277,60392277,157510542
1;L;6,7;2279517/6250000,9135933/25000000;8,36472272,0,0,60392277,60392277,157510542;10,3654373200,0,0,6045141110,6045141110,1920375935800
1;L;7,8;9135933/25000000,573049/1562500;10,3654373200,0,0,6045141110,6045141110,1920375935800;8,36675136,0,0,60560000,60560000,0
1;L;8,9;573049/1562500,36978561/100000000;8,36675136,0,0,60560000,60560000,0;8,36978561,0,0,60810000,60810000,0
1;L;9,10;36978561/100000000,18511749/50000000;8,36978561,0,0,60810000,60810000,0;10,3702349800,0,0,6084693744,6084693744,83454524928
1;L;10,11;18511749/50000000,9320809/25000000;10,3702349800,0,0,6084693744,6084693744,83454524928;8,37283236,0,0,61060000,61060000,0
1;L;11,12;9320809/25000000,37589161/100000000;8,37283236,0,0,61060000,61060000,0;8,37589161,0,0,61310000,61310000,0
1;L;12,13;37589161/100000000,1512243/4000000;8,37589161,0,0,61310000,61310000,0;10,3780607500,0,0,6148664412,6148664412,1897209388512
2;L;0,1;37838147/100000000,7613491/20000000;8,37838147,0,59560000,59560000,21744932,132315376;8,38067455,0,59747478,59747478,21770822,54723348
3;C;0,3;18224069/50000000;2,36,0,0,60,60,0;4,3644,0,0,6006,6006,735928
3;C;3,4;36372961/100000000;4,3637,0,0,6006,6006,595928;8,36372961,0,0,60310000,60310000,0
3;L;4,5;36372961/100000000,9111051/25000000;8,36372961,0,0,60310000,60310000,0;8,36444204,0,0,60369035,60369035,26337550
3;L;5,6;9111051/25000000,2279517/6250000;8,36444204,0,0,60369035,60369035,26337550;8,36472272,0,0,60392277,60392277,157510542
3;L;6,7;2279517/6250000,9135933/25000000;8,36472272,0,0,60392277,60392277,157510542;10,3654373200,0,0,6045141110,6045141110,1920375935800
3;L;7,8;9135933/25000000,573049/1562500;10,3654373200,0,0,6045141110,6045141110,1920375935800;8,36675136,0,0,60560000,60560000,0
3;L;8,9;573049/1562500,36978561/100000000;8,36675136,0,0,60560000,60560000,0;8,36978561,0,0,60810000,60810000,0
3;L;9,10;36978561/100000000,18511749/50000000;8,36978561,0,0,60810000,60810000,0;10,3702349800,0,0,6084693744,6084693744,83454524928
3;L;10,11;18511749/50000000,9320809/25000000;10,3702349800,0,0,6084693744,6084693744,83454524928;8,37283236,0,0,61060000,61060000,0
3;L;11,12;9320809/25000000,37589161/100000000;8,37283236,0,0,61060000,61060000,0;8,37589161,0,0,61310000,61310000,0
3;L;12,13;37589161/100000000,1512243/4000000;8,37589161,0,0,61310000,61310000,0;10,3780607500,0,0,6148664412,6148664412,1897209388512
4;L;1,2;7613491/20000000,37606071/100000000;8,38067455,59747478,59747478,0,21770822,54723348;8,37606071,59810000,59810000,0,19150508,43341936
4;L;2,3;37606071/100000000,18224069/50000000;8,37606071,59810000,59810000,0,19150508,43341936;10,3644813800,6006000000,6006000000,0,867296947,5724479191
4;L;3,4;18224069/50000000,36372961/100000000;10,3644813800,6006000000,6006000000,0,867296947,5724479191;8,36372961,60310000,60310000,0,0,0
4;L;4,5;36372961/100000000,9111051/25000000;8,36372961,60310000,60310000,0,0,0;8,36444204,60369035,60369035,0,0,26337550
4;L;5,6;9111051/25000000,2279517/6250000;8,36444204,60369035,60369035,0,0,26337550;8,36472272,60392277,60392277,0,0,157510542
4;L;6,7;2279517/6250000,9135933/25000000;8,36472272,60392277,60392277,0,0,157510542;10,3654373200,6045141110,6045141110,0,0,1920375935800
4;L;7,8;9135933/25000000,573049/1562500;10,3654373200,6045141110,6045141110,0,0,1920375935800;8,36675136,60560000,60560000,0,0,0
4;L;8,9;573049/1562500,36978561/100000000;8,36675136,60560000,60560000,0,0,0;8,36978561,60810000,60810000,0,0,0
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39;C;0,23;26669767/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
39;C;23,35;21897363/100000000;2,21,0,0,0,64,104;4,2189,0,0,0,6556,798864
39;C;35,36;216553/1000000;4,2165,0,0,0,6556,318864;6,216553,0,0,0,658100,10390000
39;L;36,37;216553/1000000,10909809/50000000;6,216553,0,0,0,658100,10390000;8,21819618,0,0,0,66060000,0
39;L;37,38;10909809/50000000,21985081/100000000;8,21819618,0,0,0,66060000,0;8,21985081,0,0,0,66310000,100000000
39;L;38,39;21985081/100000000,86528/390625;8,21985081,0,0,0,66310000,100000000;8,22151168,0,0,0,66560000,0
39;L;39,40;86528/390625,22317881/100000000;8,22151168,0,0,0,66560000,0;8,22317881,0,0,0,66810000,100000000
39;L;40,41;22317881/100000000,11242609/50000000;8,22317881,0,0,0,66810000,100000000;8,22485218,0,0,0,67060000,0
39;L;41,42;11242609/50000000,22653181/100000000;8,22485218,0,0,0,67060000,0;8,22653181,0,0,0,67310000,100000000
39;L;42,43;22653181/100000000,2852721/12500000;8,22653181,0,0,0,67310000,100000000;8,22821768,0,0,0,67560000,0
39;L;43,44;2852721/12500000,22990981/100000000;8,22821768,0,0,0,67560000,0;8,22990981,0,0,0,67810000,100000000
39;L;44,45;22990981/100000000,11580409/50000000;8,22990981,0,0,0,67810000,100000000;8,23160818,0,0,0,68060000,0
39;L;45,46;11580409/50000000,23331281/100000000;8,23160818,0,0,0,68060000,0;8,23331281,0,0,0,68310000,100000000
39;L;46,47;23331281/100000000,731277/3125000;8,23331281,0,0,0,68310000,100000000;8,23400864,0,0,0,68411788,62643056
40;C;0,23;26669767/100000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
40;C;23,35;21897363/100000000;2,21,0,0,64,0,104;4,2189,0,0,6556,0,798864
40;C;35,36;216553/1000000;4,2165,0,0,6556,0,318864;6,216553,0,0,658100,0,10390000
40;L;36,37;216553/1000000,10909809/50000000;6,216553,0,0,658100,0,10390000;8,21819618,0,0,66060000,0,0
40;L;37,38;10909809/50000000,21985081/100000000;8,21819618,0,0,66060000,0,0;8,21985081,0,0,66310000,0,100000000
40;L;38,39;21985081/100000000,86528/390625;8,21985081,0,0,66310000,0,100000000;8,22151168,0,0,66560000,0,0
40;L;39,40;86528/390625,22317881/100000000;8,22151168,0,0,66560000,0,0;8,22317881,0,0,66810000,0,100000000
40;L;40,41;22317881/100000000,11242609/50000000;8,22317881,0,0,66810000,0,100000000;8,22485218,0,0,67060000,0,0
40;L;41,42;11242609/50000000,22653181/100000000;8,22485218,0,0,67060000,0,0;8,22653181,0,0,67310000,0,100000000
40;L;42,43;22653181/100000000,2852721/12500000;8,22653181,0,0,67310000,0,100000000;8,22821768,0,0,67560000,0,0
40;L;43,44;2852721/12500000,22990981/100000000;8,22821768,0,0,67560000,0,0;8,22990981,0,0,67810000,0,100000000
40;L;44,45;22990981/100000000,11580409/50000000;8,22990981,0,0,67810000,0,100000000;8,23160818,0,0,68060000,0,0
40;L;45,46;11580409/50000000,23331281/100000000;8,23160818,0,0,68060000,0,0;8,23331281,0,0,68310000,0,100000000
40;L;46,47;23331281/100000000,731277/3125000;8,23331281,0,0,68310000,0,100000000;8,23400864,0,0,68411788,0,62643056
41;C;0,32;6035071/25000000;2,24,0,0,23,60,671;10,2414028400,0,0,2434003657,6508163602,727313011947
42;C;0,32;6035071/25000000;2,24,0,0,20,60,800;10,2414028400,0,0,2434003657,6508163602,727313011947
43;C;5,11;9111051/25000000;8,36444204,60369035,0,0,60369035,26337550;2,36,62,0,0,56,220
43;C;11,14;9181909/25000000;2,36,62,0,0,56,220;2,36,62,0,0,52,652
43;C;14,15;8327809/25000000;2,33,62,0,0,52,52;2,33,62,0,0,50,256
43;L;15,16;8327809/25000000,610211/2000000;2,33,62,0,0,50,256;8,30510550,62060000,0,0,47441188,81148656
43;L;16,17;610211/2000000,7536387/25000000;8,30510550,62060000,0,0,47441188,81148656;8,30145548,62182902,0,0,46501573,7384067
43;L;17,18;7536387/25000000,29777529/100000000;8,30145548,62182902,0,0,46501573,7384067;8,29777529,62310000,0,0,45529877,364871
43;L;18,19;29777529/100000000,454401/1562500;8,29777529,62310000,0,0,45529877,364871;10,2908166400,6256000000,0,0,4361856478,65329435516
43;L;19,20;454401/1562500,7105739/25000000;10,2908166400,6256000000,0,0,4361856478,65329435516;8,28422956,62810000,0,0,41707254,63779484
43;L;20,21;7105739/25000000,27801403/100000000;8,28422956,62810000,0,0,41707254,63779484;8,27801403,63060000,0,0,39795942,332636
43;L;21,22;27801403/100000000,27217007/100000000;8,27801403,63060000,0,0,39795942,332636;8,27217007,63310000,0,0,37884631,33993839
43;L;22,23;27217007/100000000,26669767/100000000;8,27217007,63310000,0,0,37884631,33993839;8,26669767,63560000,0,0,35973319,120124239
43;L;23,24;26669767/100000000,26159683/100000000;8,26669767,63560000,0,0,35973319,120124239;8,26159683,63810000,0,0,34062008,111007936
43;L;24,25;26159683/100000000,3256183/12500000;8,26159683,63810000,0,0,34062008,111007936;10,2604946400,6386654506,0,0,3362970617,850184535275
43;L;25,26;3256183/12500000,5137351/20000000;10,2604946400,6386654506,0,0,3362970617,850184535275;8,25686755,64060000,0,0,32150696,146715584
43;L;26,27;5137351/20000000,25423049/100000000;8,25686755,64060000,0,0,32150696,146715584;8,25423049,64208718,0,0,31013712,777532
43;L;27,28;25423049/100000000,25250983/100000000;8,25423049,64208718,0,0,31013712,777532;8,25250983,64310000,0,0,30239384,155300544
43;L;28,29;25250983/100000000,24852367/100000000;8,25250983,64310000,0,0,30239384,155300544;8,24852367,64560000,0,0,28328073,80106671
43;L;29,30;24852367/100000000,24490907/100000000;8,24852367,64560000,0,0,28328073,80106671;8,24490907,64810000,0,0,26416761,38268879
43;L;30,31;24490907/100000000,6041651/25000000;8,24490907,64810000,0,0,26416761,38268879;8,24166604,65060000,0,0,24505450,120297500
43;L;31,32;6041651/25000000,6035071/25000000;8,24166604,65060000,0,0,24505450,120297500;10,2414028400,6508163602,0,0,2434003657,727313011947
44;C;0,47;216553/1000000;2,21,0,0,25,34,2419;2,21,0,0,29,39,1838
45;C;0,47;216553/1000000;2,21,0,0,20,46,1684;2,21,0,0,29,39,1838
46;L;32,33;6035071/25000000,23949843/100000000;10,2414028400,2434003657,0,0,6508163602,727313011947;8,23949843,24390134,0,0,64769514,19665848
46;L;33,34;23949843/100000000,23051199/100000000;8,23949843,24390134,0,0,64769514,19665848;8,23051199,24630177,0,0,63273961,40319150
46;L;34,35;23051199/100000000,21897363/100000000;8,23051199,24630177,0,0,63273961,40319150;10,2189736300,2494780582,0,0,6129502034,662865604120
46;L;35,36;21897363/100000000,216553/1000000;10,2189736300,2494780582,0,0,6129502034,662865604120;4,2165,2527,0,0,5932,1725647
46;C;36,37;216553/1000000;4,2165,2527,0,0,5932,1725647;2,21,26,0,0,58,160
46;C;37,39;10909809/50000000;2,21,26,0,0,58,160;2,21,27,0,0,54,555
46;C;39,47;86528/390625;2,22,27,0,0,54,755;2,22,29,0,0,39,2038
47;C;0,1;37838147/100000000;2,37,0,0,11,60,3679;2,37,0,0,11,60,3679
48;C;0,7;36372961/100000000;2,36,0,0,5,60,3575;2,36,0,0,6,61,3443
49;C;0,1;37838147/100000000;2,37,0,0,60,11,3679;2,37,0,0,60,11,3679
50;C;0,7;36372961/100000000;2,36,0,0,5,60,3575;2,36,0,0,6,61,3443
51;C;1,27;25423049/100000000;2,25,60,0,0,11,1279;2,25,65,0,0,0,775
52;C;0,33;23949843/100000000;2,23,0,0,5,27,3846;2,23,0,0,6,29,3723
53;C;0,33;23949843/100000000;2,23,0,0,5,34,3419;2,23,0,0,6,29,3723
54;C;7,33;23949843/100000000;2,23,6,0,0,61,843;2,23,6,0,0,29,3723
55;C;0,1;37838147/100000000;2,37,0,0,0,60,3800;2,37,0,0,0,60,3800
56;C;0,25;3256183/12500000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
57;C;0,27;25423049/100000000;2,25,0,0,0,60,1400;2,25,0,0,0,65,775
58;C;0,1;37838147/100000000;2,37,0,0,60,0,3800;2,37,0,0,60,0,3800
59;C;0,25;3256183/12500000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
60;C;25,27;25423049/100000000;2,25,0,0,0,64,904;2,25,0,0,0,65,775
61;C;1,27;25423049/100000000;2,25,60,0,0,0,1400;2,25,65,0,0,0,775
62;C;0,33;23949843/100000000;2,23,0,0,0,55,1575;2,23,0,0,0,60,1000
63;C;25,33;23949843/100000000;2,23,0,0,0,64,504;2,23,0,0,0,60,1000
64;C;27,33;23949843/100000000;2,23,0,0,0,65,375;2,23,0,0,0,60,1000
65;C;0,25;3256183/12500000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
66;C;0,1;37838147/100000000;2,37,0,0,23,60,3271;2,37,0,0,23,60,3271
67;C;0,7;36372961/100000000;2,36,0,0,17,60,3311;2,36,0,0,18,61,3155
68;C;0,1;37838147/100000000;2,37,0,0,60,23,3271;2,37,0,0,60,23,3271
69;C;0,7;36372961/100000000;2,36,0,0,17,60,3311;2,36,0,0,18,61,3155
70;C;1,7;36372961/100000000;2,36,60,0,0,23,3071;2,36,61,0,0,18,3155
71;C;0,33;23949843/100000000;2,23,0,0,20,27,3471;2,23,0,0,22,29,3275
72;C;0,33;23949843/100000000;2,23,0,0,16,34,3188;2,23,0,0,22,29,3275
73;C;7,33;23949843/100000000;2,23,18,0,0,61,555;2,23,22,0,0,29,3275
MASS SLACK NUMERATOR 1900183735091426719870504829804266728724606662444142832997724407622614592470879447285797487329915523034564425612381356085381
BIN 22: PATH1; (711/560,51/40]; gamma0=5963/10000; mass ceiling=6225739/6250000.
GAMMA 0=5963/10000;1=96317707500/161036894567;2=1497/2500;3=6013/10000;4=91911015000/152223509567;5=3019/5000;6=18728443125/30985968803;7=23344978125/38616261788;8=6063/10000;9=761/1250;10=258106275000/423771404453;11=6113/10000;12=3069/5000;13=108278730000/175883654029;14=6163/10000;15=1547/2500;16=6213/10000;17=45955507500/73759201967;18=3119/5000;19=6263/10000;20=393/625;21=6313/10000;22=3169/5000;23=37771650000/59394652021;24=6363/10000;25=1597/2500;26=161159040000/251661138259;27=6413/10000;28=3219/5000;29=6463/10000;30=811/1250;31=68198812500/104799104567;32=6513/10000;33=38715941250/59394652021;34=3269/5000;35=6563/10000;36=1647/2500;37=6613/10000;38=3319/5000;39=6663/10000;40=418/625;41=6713/10000;42=3369/5000;43=6763/10000;44=1697/2500;45=6813/10000;46=3419/5000;47=58546057500/85493594567;48=6863/10000;49=861/1250;50=6913/10000;51=3469/5000;52=6963/10000;53=1747/2500;54=7013/10000;55=3519/5000;56=7063/10000;57=443/625;58=7113/10000;59=3569/5000;60=7163/10000;61=1797/2500;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37813215,38034250;1,2,38034250,37552714;2,3,37552714,36486250;3,4,36486250,36456223;4,5,36456223,36457444;5,6,36457444,36531979;6,7,36531979,36546559;7,8,36546559,36759969;8,9,36759969,37063744;9,10,37063744,37096577;10,11,37096577,37368769;11,12,37368769,37675044;12,13,37675044,37899663;13,14,37899663,36915704;14,15,36915704,33510629;15,16,33510629,30499760;16,17,30499760,29771015;17,18,29771015,29555431;18,19,29555431,28863534;19,20,28863534,28209456;20,21,28209456,27593199;21,22,27593199,27014761;22,23,27014761,26548897;23,24,26548897,26474142;24,25,26474142,25971344;25,26,25971344,25672875;26,27,25672875,25506365;27,28,25506365,25079206;28,29,25079206,24689867;29,30,24689867,24338348;30,31,24338348,24089497;31,32,24089497,23824936;32,33,23824936,23562403;33,34,23562403,22630524;34,35,22630524,21544706;35,36,21544706,21700872;36,37,21700872,21865885;37,38,21865885,22031522;38,39,22031522,22197785;39,40,22197785,22364672;40,41,22364672,22532185;41,42,22532185,22700322;42,43,22700322,22869085;43,44,22869085,23038472;44,45,23038472,23208485;45,46,23208485,23379122;46,47,23379122,23447588;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;139217471417/37771650000,1/3,161036894567/75543300000;-708452002303021
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;119/60,5/3,73/120;-9
10;6;1;-1
11;2,3,7;41/24,4/3,73/120;-7
14;6;1;-1
15;2,3,10;41/24,4/3,73/120;-7
17;2,3,5;6/5,11/3,73/120;-5
18;1,4,8;102851766167/25181100000,4/3,161036894567/75543300000;-456641002303021
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;41/24,4/3,73/120;-7
29;1,3,9;47/60,10/3,51/40;-47
30;1,4,11;102851766167/25181100000,4/3,161036894567/75543300000;-456641002303021
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;41/24,4/3,73/120;-7
41;1,3,12;47/60,10/3,51/40;-47
42;1,4,14;139217471417/37771650000,1/3,161036894567/75543300000;-708452002303021
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;41/24,4/3,73/120;-7
56;2,3,7;41/24,4/3,73/120;-7
58;2,3,10;41/24,4/3,73/120;-7
59;2,3,13;6/5,11/3,73/120;-5
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;179/60,5/3,31/40;-7
70;6;1;-1
72;1,4,6;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
74;6;1;-1
77;2,3,5;11/5,4,31/40;-1
78;1,4,8;144249494567/25181100000,1/3,161036894567/75543300000;-834357502303021
79;1,4,8;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;43525094567/12590550000,14/3,161036894567/75543300000;-78924502303021
84;1,4,8;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
86;8;1;-1
89;1,3,9;47/60,10/3,51/40;-47
90;1,4,11;144249494567/25181100000,1/3,161036894567/75543300000;-834357502303021
91;1,4,11;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;43525094567/12590550000,14/3,161036894567/75543300000;-78924502303021
96;1,4,11;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
98;11;1;-1
101;1,3,12;47/60,10/3,51/40;-47
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;50240054567/15108660000,11/3,161036894567/75543300000;-36956002303021
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;179/60,5/3,31/40;-7
119;2,3,13;11/5,4,31/40;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;22656060923/4721456250,5/3,161036894567/75543300000;-330735502303021
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;239/60,13/6,41/40;-7
130;6;1;-1
132;1,4,6;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;57765006617/12590550000,11/3,161036894567/75543300000;-267782752303021
144;1,4,8;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
146;8;1;-1
149;1,3,9;47/60,10/3,51/40;-47
150;0,1,11;2/3,3,1;-2
151;1,4,11;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;57765006617/12590550000,11/3,161036894567/75543300000;-267782752303021
156;1,4,11;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
158;11;1;-1
161;1,3,12;47/60,10/3,51/40;-47
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;70908701447/15108660000,8/3,161036894567/75543300000;-288767002303021
169;14;1;-1
171;1,4,14;22656060923/4721456250,5/3,161036894567/75543300000;-330735502303021
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;239/60,13/6,41/40;-7
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;116562907879160,8020762619443048422675000,509896065376095,1340
4;1,4,6,3;116562907879160,9738513328513316214420000,649366382961132,808
5;5,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
12;1,4,6,3;116562907879160,9738513328513316214420000,649366382961132,808
13;5,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
16;5,4,2,3;201207942216880,6298416157356493846200000,2367474440493480,5520
19;1,4,8,3;116562907879160,9738513328513316214420000,649366382961132,808
22;1,4,8,3;116562907879160,5536505388264795793800000,201207942216880,80
23;7,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
24;1,4,8,3;116562907879160,9738513328513316214420000,649366382961132,808
25;7,4,2,3;509896065376095,1172991439239935192325000,2367474440493480,780
28;7,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
31;1,4,11,3;116562907879160,9738513328513316214420000,649366382961132,808
34;1,4,11,3;116562907879160,5536505388264795793800000,201207942216880,80
35;10,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
36;1,4,11,3;116562907879160,9738513328513316214420000,649366382961132,808
37;10,4,2,3;509896065376095,1172991439239935192325000,2367474440493480,780
40;10,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
44;1,4,14,3;116562907879160,9738513328513316214420000,649366382961132,808
48;1,4,14,3;116562907879160,9738513328513316214420000,649366382961132,808
50;13,4,2,3;201207942216880,6298416157356493846200000,2367474440493480,5520
51;1,4,14,3;116562907879160,8020762619443048422675000,509896065376095,1340
53;13,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
57;13,4,2,3;649366382961132,4717442845805844461580000,2367474440493480,1416
61;1,4,6,3;116562907879160,1774549801661096845350000,171020436779685,140
65;1,4,9,3;116562907879160,12833220191108877476280000,4109116641622488,1072
71;7,4,2,3;4109116641622488,2088894758193494523720000,3026490823879160,368
73;1,4,12,3;116562907879160,12833220191108877476280000,4109116641622488,1072
75;10,4,2,3;4109116641622488,2088894758193494523720000,3026490823879160,368
76;1,4,2,3;116562907879160,28533950874450000000000000,3026490823879160,800
83;1,4,2,3;116562907879160,28533950874450000000000000,3026490823879160,800
85;7,4,12,3;171020436779685,4252752426873966630930000,4109116641622488,1356
87;10,4,2,3;4109116641622488,2088894758193494523720000,3026490823879160,368
88;1,4,2,3;116562907879160,28533950874450000000000000,3026490823879160,800
95;1,4,2,3;116562907879160,28533950874450000000000000,3026490823879160,800
97;10,4,9,3;171020436779685,4252752426873966630930000,4109116641622488,1356
99;7,4,2,3;4109116641622488,2088894758193494523720000,3026490823879160,368
100;1,4,2,3;116562907879160,28533950874450000000000000,3026490823879160,800
110;1,4,2,3;116562907879160,28533950874450000000000000,3026490823879160,800
111;1,4,14,3;116562907879160,1774549801661096845350000,171020436779685,140
113;1,4,9,3;116562907879160,12833220191108877476280000,4109116641622488,1072
116;7,4,2,3;4109116641622488,2088894758193494523720000,3026490823879160,368
117;1,4,12,3;116562907879160,12833220191108877476280000,4109116641622488,1072
118;10,4,2,3;4109116641622488,2088894758193494523720000,3026490823879160,368
125;1,4,9,3;116562907879160,1419639841328877476280000,10293612538752,112
131;7,4,2,3;10293612538752,2617458177378655782360000,1319564099951080,608
133;1,4,12,3;116562907879160,1419639841328877476280000,10293612538752,112
135;10,4,2,3;10293612538752,2617458177378655782360000,1319564099951080,608
136;1,4,2,6,3;116562907879160,7133487718612500000000000,23546189998777,1,125
137;5,2,3;1,1,25
143;1,4,2,8,3;116562907879160,7133487718612500000000000,23546189998777,1,125
145;1,4,12,3;116562907879160,1419639841328877476280000,10293612538752,112
147;10,4,2,3;10293612538752,2617458177378655782360000,1319564099951080,608
148;1,4,2,8,3;116562907879160,7133487718612500000000000,23546189998777,1,125
155;1,4,2,11,3;116562907879160,7133487718612500000000000,23546189998777,1,125
157;1,4,9,3;116562907879160,1419639841328877476280000,10293612538752,112
159;7,4,2,3;10293612538752,2617458177378655782360000,1319564099951080,608
160;1,4,2,11,3;116562907879160,7133487718612500000000000,23546189998777,1,125
170;1,4,2,14,3;116562907879160,7133487718612500000000000,23546189998777,1,125
173;1,4,9,3;116562907879160,1419639841328877476280000,10293612538752,112
176;7,4,2,3;10293612538752,2617458177378655782360000,1319564099951080,608
177;1,4,12,3;116562907879160,1419639841328877476280000,10293612538752,112
178;10,4,2,3;10293612538752,2617458177378655782360000,1319564099951080,608
179;13,2,3;1,1,25
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
5:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
12:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
13:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
16:V/3,5/13/0/6;V/2,3/14/0/17;E/4,5/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
19:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
22:V/3,1/5/0/1;V/8,3/13/0/6;E/4,1/7/0/1;E/4,8/15/0/6;E/4,3/9/1/6
23:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
24:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
25:V/3,7/1/0/13;V/2,3/18/0/17;E/4,7/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
28:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
31:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
34:V/3,1/5/0/1;V/11,3/13/0/6;E/4,1/7/0/1;E/4,11/15/0/6;E/4,3/9/1/6
35:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
36:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
37:V/3,10/1/0/13;V/2,3/18/0/17;E/4,10/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
40:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
44:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
48:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
50:V/3,13/13/0/6;V/2,3/14/0/17;E/4,13/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
57:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
61:V/3,1/21/0/1;V/6,3/22/0/4;E/4,1/23/0/1;E/4,6/24/0/4;E/4,3/25/1/4
65:V/3,1/26/0/1;V/9,3/27/0/31;E/4,1/28/0/1;E/4,9/29/0/31;E/4,3/30/1/31
71:V/3,7/27/0/31;V/2,3/31/0/47;E/4,7/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
73:V/3,1/26/0/1;V/12,3/27/0/31;E/4,1/28/0/1;E/4,12/29/0/31;E/4,3/30/1/31
75:V/3,10/27/0/31;V/2,3/31/0/47;E/4,10/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
76:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
83:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
85:V/3,7/22/0/4;V/12,3/41/0/31;E/4,7/24/0/4;E/4,12/42/0/31;E/4,3/43/4/31
87:V/3,10/41/0/31;V/2,3/44/0/47;E/4,10/42/0/31;E/4,2/45/0/47;E/4,3/46/31/47
88:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
95:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
97:V/3,10/22/0/4;V/9,3/41/0/31;E/4,10/24/0/4;E/4,9/42/0/31;E/4,3/43/4/31
99:V/3,7/41/0/31;V/2,3/44/0/47;E/4,7/42/0/31;E/4,2/45/0/47;E/4,3/46/31/47
100:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
110:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
111:V/3,1/21/0/1;V/14,3/22/0/4;E/4,1/23/0/1;E/4,14/24/0/4;E/4,3/25/1/4
113:V/3,1/26/0/1;V/9,3/27/0/31;E/4,1/28/0/1;E/4,9/29/0/31;E/4,3/30/1/31
116:V/3,7/27/0/31;V/2,3/31/0/47;E/4,7/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
117:V/3,1/26/0/1;V/12,3/27/0/31;E/4,1/28/0/1;E/4,12/29/0/31;E/4,3/30/1/31
118:V/3,10/27/0/31;V/2,3/31/0/47;E/4,10/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
125:V/3,1/47/0/1;V/9,3/48/0/7;E/4,1/49/0/1;E/4,9/50/0/7;E/4,3/51/1/7
131:V/3,7/48/0/7;V/2,3/52/0/33;E/4,7/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
133:V/3,1/47/0/1;V/12,3/48/0/7;E/4,1/49/0/1;E/4,12/50/0/7;E/4,3/51/1/7
135:V/3,10/48/0/7;V/2,3/52/0/33;E/4,10/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
136:V/3,1/55/0/1;V/2,6/56/0/23;V/6,3/57/0/26;E/4,1/58/0/1;E/4,2/59/0/23;E/4,6/60/23/26;E/4,3/61/1/26
137:V/3,5/57/0/26;V/5,2/56/0/23;V/2,3/62/0/33;E/4,5/60/23/26;E/4,2/63/23/33;E/4,3/64/26/33
143:V/3,1/47/0/1;V/2,8/56/0/23;V/8,3/57/0/26;E/4,1/49/0/1;E/4,2/65/0/23;E/4,8/60/23/26;E/4,3/51/1/26
145:V/3,1/66/0/1;V/12,3/67/0/7;E/4,1/68/0/1;E/4,12/69/0/7;E/4,3/70/1/7
147:V/3,10/67/0/7;V/2,3/71/0/33;E/4,10/69/0/7;E/4,2/72/0/33;E/4,3/73/7/33
148:V/3,1/47/0/1;V/2,8/56/0/23;V/8,3/57/0/26;E/4,1/49/0/1;E/4,2/65/0/23;E/4,8/60/23/26;E/4,3/51/1/26
155:V/3,1/47/0/1;V/2,11/56/0/23;V/11,3/57/0/26;E/4,1/49/0/1;E/4,2/65/0/23;E/4,11/60/23/26;E/4,3/51/1/26
157:V/3,1/66/0/1;V/9,3/67/0/7;E/4,1/68/0/1;E/4,9/69/0/7;E/4,3/70/1/7
159:V/3,7/67/0/7;V/2,3/71/0/33;E/4,7/69/0/7;E/4,2/72/0/33;E/4,3/73/7/33
160:V/3,1/47/0/1;V/2,11/56/0/23;V/11,3/57/0/26;E/4,1/49/0/1;E/4,2/65/0/23;E/4,11/60/23/26;E/4,3/51/1/26
170:V/3,1/55/0/1;V/2,14/56/0/23;V/14,3/57/0/26;E/4,1/58/0/1;E/4,2/59/0/23;E/4,14/60/23/26;E/4,3/61/1/26
173:V/3,1/47/0/1;V/9,3/48/0/7;E/4,1/49/0/1;E/4,9/50/0/7;E/4,3/51/1/7
176:V/3,7/48/0/7;V/2,3/52/0/33;E/4,7/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
177:V/3,1/47/0/1;V/12,3/48/0/7;E/4,1/49/0/1;E/4,12/50/0/7;E/4,3/51/1/7
178:V/3,10/48/0/7;V/2,3/52/0/33;E/4,10/50/0/7;E/4,2/53/0/33;E/4,3/54/7/33
179:V/3,13/57/0/26;V/13,2/56/0/23;V/2,3/62/0/33;E/4,13/60/23/26;E/4,2/63/23/33;E/4,3/64/26/33
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;7562643/20000000,152137/400000;4,3781,0,2120,5963,5963,10862;10,3803425000,0,2126379108,5981095684,5981095684,726734268624
1;C;0,3;29189/80000;2,36,0,0,60,60,0;4,3648,0,0,6013,6013,647662
1;C;3,4;36456223/100000000;4,3645,0,0,6013,6013,587662;10,3645622300,0,0,6037898828,6037898828,1485672452832
1;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,0,0,6037898828,6037898828,1485672452832;8,36457444,0,0,60380000,60380000,0
1;L;5,6;9114361/25000000,36531979/100000000;8,36457444,0,0,60380000,60380000,0;8,36531979,0,0,60441690,60441690,19887800
1;L;6,7;36531979/100000000,36546559/100000000;8,36531979,0,0,60441690,60441690,19887800;8,36546559,0,0,60453750,60453750,21875000
1;L;7,8;36546559/100000000,36759969/100000000;8,36546559,0,0,60453750,60453750,21875000;8,36759969,0,0,60630000,60630000,0
1;L;8,9;36759969/100000000,579121/1562500;8,36759969,0,0,60630000,60630000,0;8,37063744,0,0,60880000,60880000,0
1;L;9,10;579121/1562500,37096577/100000000;8,37063744,0,0,60880000,60880000,0;8,37096577,0,0,60906959,60906959,90744638
1;L;10,11;37096577/100000000,37368769/100000000;8,37096577,0,0,60906959,60906959,90744638;8,37368769,0,0,61130000,61130000,0
1;L;11,12;37368769/100000000,9418761/25000000;8,37368769,0,0,61130000,61130000,0;8,37675044,0,0,61380000,61380000,0
1;L;12,13;9418761/25000000,37899663/100000000;8,37675044,0,0,61380000,61380000,0;10,3789966300,0,0,6156270212,6156270212,153682950112
2;L;0,1;7562643/20000000,152137/400000;8,37813215,0,59630000,59630000,21240741,121770919;10,3803425000,0,5981095684,5981095684,2126379108,726734268624
3;C;0,3;29189/80000;2,36,0,0,60,60,0;4,3648,0,0,6013,6013,647662
3;C;3,4;36456223/100000000;4,3645,0,0,6013,6013,587662;10,3645622300,0,0,6037898828,6037898828,1485672452832
3;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,0,0,6037898828,6037898828,1485672452832;8,36457444,0,0,60380000,60380000,0
3;L;5,6;9114361/25000000,36531979/100000000;8,36457444,0,0,60380000,60380000,0;8,36531979,0,0,60441690,60441690,19887800
3;L;6,7;36531979/100000000,36546559/100000000;8,36531979,0,0,60441690,60441690,19887800;8,36546559,0,0,60453750,60453750,21875000
3;L;7,8;36546559/100000000,36759969/100000000;8,36546559,0,0,60453750,60453750,21875000;8,36759969,0,0,60630000,60630000,0
3;L;8,9;36759969/100000000,579121/1562500;8,36759969,0,0,60630000,60630000,0;8,37063744,0,0,60880000,60880000,0
3;L;9,10;579121/1562500,37096577/100000000;8,37063744,0,0,60880000,60880000,0;8,37096577,0,0,60906959,60906959,90744638
3;L;10,11;37096577/100000000,37368769/100000000;8,37096577,0,0,60906959,60906959,90744638;8,37368769,0,0,61130000,61130000,0
3;L;11,12;37368769/100000000,9418761/25000000;8,37368769,0,0,61130000,61130000,0;8,37675044,0,0,61380000,61380000,0
3;L;12,13;9418761/25000000,37899663/100000000;8,37675044,0,0,61380000,61380000,0;10,3789966300,0,0,6156270212,6156270212,153682950112
4;L;1,2;152137/400000,18776357/50000000;10,3803425000,5981095684,5981095684,0,2126379108,726734268624;8,37552714,59880000,59880000,0,18420473,174456271
4;L;2,3;18776357/50000000,29189/80000;8,37552714,59880000,59880000,0,18420473,174456271;8,36486250,60130000,60130000,0,8125034,22498844
4;L;3,4;29189/80000,36456223/100000000;8,36486250,60130000,60130000,0,8125034,22498844;10,3645622300,6037898828,6037898828,0,0,1485672452832
4;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,6037898828,6037898828,0,0,1485672452832;8,36457444,60380000,60380000,0,0,0
4;L;5,6;9114361/25000000,36531979/100000000;8,36457444,60380000,60380000,0,0,0;8,36531979,60441690,60441690,0,0,19887800
4;L;6,7;36531979/100000000,36546559/100000000;8,36531979,60441690,60441690,0,0,19887800;8,36546559,60453750,60453750,0,0,21875000
4;L;7,8;36546559/100000000,36759969/100000000;8,36546559,60453750,60453750,0,0,21875000;8,36759969,60630000,60630000,0,0,0
4;L;8,9;36759969/100000000,579121/1562500;8,36759969,60630000,60630000,0,0,0;8,37063744,60880000,60880000,0,0,0
4;L;9,10;579121/1562500,37096577/100000000;8,37063744,60880000,60880000,0,0,0;8,37096577,60906959,60906959,0,0,90744638
4;L;10,11;37096577/100000000,37368769/100000000;8,37096577,60906959,60906959,0,0,90744638;8,37368769,61130000,61130000,0,0,0
4;L;11,12;37368769/100000000,9418761/25000000;8,37368769,61130000,61130000,0,0,0;8,37675044,61380000,61380000,0,0,0
4;L;12,13;9418761/25000000,37899663/100000000;8,37675044,61380000,61380000,0,0,0;10,3789966300,6156270212,6156270212,0,0,153682950112
5;C;0,1;7562643/20000000;2,37,0,10,60,60,100;2,37,0,11,60,60,79
6;C;0,2;18776357/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
6;C;2,3;29189/80000;2,36,0,0,60,60,0;4,3648,0,0,6013,6013,647662
6;C;3,4;36456223/100000000;4,3645,0,0,6013,6013,587662;10,3645622300,0,0,6037898828,6037898828,1485672452832
6;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,0,0,6037898828,6037898828,1485672452832;8,36457444,0,0,60380000,60380000,0
6;L;5,6;9114361/25000000,36531979/100000000;8,36457444,0,0,60380000,60380000,0;8,36531979,0,0,60441690,60441690,19887800
6;L;6,7;36531979/100000000,36546559/100000000;8,36531979,0,0,60441690,60441690,19887800;8,36546559,0,0,60453750,60453750,21875000
6;L;7,8;36546559/100000000,36759969/100000000;8,36546559,0,0,60453750,60453750,21875000;8,36759969,0,0,60630000,60630000,0
6;L;8,9;36759969/100000000,579121/1562500;8,36759969,0,0,60630000,60630000,0;8,37063744,0,0,60880000,60880000,0
6;L;9,10;579121/1562500,37096577/100000000;8,37063744,0,0,60880000,60880000,0;8,37096577,0,0,60906959,60906959,90744638
7;C;0,1;7562643/20000000;2,37,0,60,60,11,79;2,37,0,60,60,11,79
8;C;0,2;18776357/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
8;C;2,3;29189/80000;2,36,0,0,60,60,0;4,3648,0,0,6013,6013,647662
8;C;3,4;36456223/100000000;4,3645,0,0,6013,6013,587662;10,3645622300,0,0,6037898828,6037898828,1485672452832
8;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,0,0,6037898828,6037898828,1485672452832;8,36457444,0,0,60380000,60380000,0
8;L;5,6;9114361/25000000,36531979/100000000;8,36457444,0,0,60380000,60380000,0;8,36531979,0,0,60441690,60441690,19887800
8;L;6,7;36531979/100000000,36546559/100000000;8,36531979,0,0,60441690,60441690,19887800;8,36546559,0,0,60453750,60453750,21875000
8;L;7,8;36546559/100000000,36759969/100000000;8,36546559,0,0,60453750,60453750,21875000;8,36759969,0,0,60630000,60630000,0
8;L;8,9;36759969/100000000,579121/1562500;8,36759969,0,0,60630000,60630000,0;8,37063744,0,0,60880000,60880000,0
8;L;9,10;579121/1562500,37096577/100000000;8,37063744,0,0,60880000,60880000,0;8,37096577,0,0,60906959,60906959,90744638
9;C;1,3;29189/80000;4,3648,5982,5982,0,1001,389351;4,3648,6013,6013,0,0,647662
9;C;3,4;36456223/100000000;4,3645,6013,6013,0,0,587662;10,3645622300,6037898828,6037898828,0,0,1485672452832
9;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,6037898828,6037898828,0,0,1485672452832;8,36457444,60380000,60380000,0,0,0
9;L;5,6;9114361/25000000,36531979/100000000;8,36457444,60380000,60380000,0,0,0;8,36531979,60441690,60441690,0,0,19887800
9;L;6,7;36531979/100000000,36546559/100000000;8,36531979,60441690,60441690,0,0,19887800;8,36546559,60453750,60453750,0,0,21875000
9;L;7,8;36546559/100000000,36759969/100000000;8,36546559,60453750,60453750,0,0,21875000;8,36759969,60630000,60630000,0,0,0
9;L;8,9;36759969/100000000,579121/1562500;8,36759969,60630000,60630000,0,0,0;8,37063744,60880000,60880000,0,0,0
9;L;9,10;579121/1562500,37096577/100000000;8,37063744,60880000,60880000,0,0,0;8,37096577,60906959,60906959,0,0,90744638
10;C;0,17;5954203/20000000;2,29,0,0,18,60,1876;2,29,0,0,19,63,1470
11;C;0,17;5954203/20000000;2,29,0,0,60,23,1671;2,29,0,0,63,19,1470
12;C;10,13;37096577/100000000;8,37096577,60906959,0,0,60906959,90744638;2,37,62,0,0,41,1875
12;C;13,17;5954203/20000000;2,29,62,0,0,41,275;2,29,63,0,0,19,1470
13;C;0,3;29189/80000;2,36,0,0,60,60,0;4,3648,0,0,6013,6013,647662
13;C;3,4;36456223/100000000;4,3645,0,0,6013,6013,587662;10,3645622300,0,0,6037898828,6037898828,1485672452832
13;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,0,0,6037898828,6037898828,1485672452832;8,36457444,0,0,60380000,60380000,0
13;L;5,6;9114361/25000000,36531979/100000000;8,36457444,0,0,60380000,60380000,0;8,36531979,0,0,60441690,60441690,19887800
14;C;0,17;5954203/20000000;2,29,0,0,0,60,2200;2,29,0,0,0,63,1831
15;C;0,3;29189/80000;2,36,0,0,60,60,0;4,3648,0,0,6013,6013,647662
15;C;3,4;36456223/100000000;4,3645,0,0,6013,6013,587662;10,3645622300,0,0,6037898828,6037898828,1485672452832
15;L;4,5;36456223/100000000,9114361/25000000;10,3645622300,0,0,6037898828,6037898828,1485672452832;8,36457444,0,0,60380000,60380000,0
15;L;5,6;9114361/25000000,36531979/100000000;8,36457444,0,0,60380000,60380000,0;8,36531979,0,0,60441690,60441690,19887800
16;C;0,17;5954203/20000000;2,29,0,0,60,1,2199;2,29,0,0,63,0,1831
17;C;6,11;36531979/100000000;8,36531979,60441690,0,0,60441690,19887800;2,36,62,0,0,36,2060
17;C;11,17;5954203/20000000;2,29,62,0,0,36,660;2,29,63,0,0,0,1831
18;C;0,17;5954203/20000000;2,29,0,0,42,60,436;4,2977,0,0,4295,6231,2267614
19;C;0,17;5954203/20000000;2,29,0,0,60,45,175;4,2977,0,0,6231,4295,2267614
20;L;13,14;37899663/100000000,4614463/12500000;10,3789966300,6156270212,0,0,6156270212,153682950112;10,3691570400,6163000000,0,0,5987389993,71723459951
20;L;14,15;4614463/12500000,33510629/100000000;10,3691570400,6163000000,0,0,5987389993,71723459951;8,33510629,61880000,0,0,53600292,97514736
20;L;15,16;33510629/100000000,381247/1250000;8,33510629,61880000,0,0,53600292,97514736;8,30499760,62130000,0,0,47326684,81564144
20;L;16,17;381247/1250000,5954203/20000000;8,30499760,62130000,0,0,47326684,81564144;4,2977,6231,0,0,4295,2267614
21;C;0,1;7562643/20000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
22;C;0,4;36456223/100000000;2,36,0,0,60,60,0;10,3645622300,0,0,6037898828,6037898828,1485672452832
23;C;0,1;7562643/20000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
24;C;0,4;36456223/100000000;2,36,0,0,60,60,0;10,3645622300,0,0,6037898828,6037898828,1485672452832
25;C;1,4;36456223/100000000;2,36,60,60,0,0,0;10,3645622300,6037898828,6037898828,0,0,1485672452832
26;C;0,1;7562643/20000000;2,37,0,0,53,60,991;2,37,0,0,54,60,884
27;C;0,31;24089497/100000000;2,24,0,0,6,60,1164;2,24,0,0,7,66,395
28;C;0,1;7562643/20000000;2,37,0,0,60,54,884;2,37,0,0,60,54,884
29;C;0,31;24089497/100000000;2,24,0,0,6,60,1164;2,24,0,0,7,66,395
30;C;1,12;36456223/100000000;2,36,60,0,0,54,684;2,36,62,0,0,40,1756
30;C;12,18;29555431/100000000;2,29,62,0,0,40,356;2,29,63,0,0,31,870
30;C;18,24;13237071/50000000;2,26,63,0,0,31,270;2,26,64,0,0,20,704
30;C;24,29;24689867/100000000;2,24,64,0,0,20,304;2,24,65,0,0,11,454
30;C;29,35;10772353/50000000;4,2154,6463,0,0,1019,271270;8,21544706,65630000,0,0,1282287,40049631
30;L;35,36;10772353/50000000,2712609/12500000;8,21544706,65630000,0,0,1282287,40049631;8,21700872,65880000,0,0,0,0
30;L;36,37;2712609/12500000,4373177/20000000;8,21700872,65880000,0,0,0,0;8,21865885,66130000,0,0,0,100000000
30;L;37,38;4373177/20000000,11015761/50000000;8,21865885,66130000,0,0,0,100000000;8,22031522,66380000,0,0,0,0
30;L;38,39;11015761/50000000,4439557/20000000;8,22031522,66380000,0,0,0,0;8,22197785,66630000,0,0,0,100000000
30;L;39,40;4439557/20000000,87362/390625;8,22197785,66630000,0,0,0,100000000;8,22364672,66880000,0,0,0,0
30;L;40,41;87362/390625,4506437/20000000;8,22364672,66880000,0,0,0,0;8,22532185,67130000,0,0,0,100000000
30;L;41,42;4506437/20000000,11350161/50000000;8,22532185,67130000,0,0,0,100000000;8,22700322,67380000,0,0,0,0
30;L;42,43;11350161/50000000,4573817/20000000;8,22700322,67380000,0,0,0,0;8,22869085,67630000,0,0,0,100000000
30;L;43,44;4573817/20000000,2879809/12500000;8,22869085,67630000,0,0,0,100000000;8,23038472,67880000,0,0,0,0
30;L;44,45;2879809/12500000,4641697/20000000;8,23038472,67880000,0,0,0,0;8,23208485,68130000,0,0,0,100000000
30;L;45,46;4641697/20000000,11689561/50000000;8,23208485,68130000,0,0,0,100000000;8,23379122,68380000,0,0,0,0
30;L;46,47;11689561/50000000,5861897/25000000;8,23379122,68380000,0,0,0,0;8,23447588,68480052,0,0,0,78077296
31;C;0,47;10772353/50000000;2,21,0,0,6,33,3075;2,21,0,0,7,38,2707
32;C;0,47;10772353/50000000;2,21,0,0,6,46,2048;2,21,0,0,7,38,2707
33;C;31,47;10772353/50000000;4,2154,622,0,0,6508,339052;2,21,7,0,0,38,2707
34;C;0,1;7562643/20000000;2,37,0,0,42,60,2036;2,37,0,0,42,60,2036
35;C;0,23;26548897/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
35;C;23,35;10772353/50000000;2,21,0,0,0,64,104;4,2154,0,0,0,6563,7031
35;L;35,36;10772353/50000000,2712609/12500000;4,2154,0,0,0,6563,7031;8,21700872,0,0,0,65880000,0
35;L;36,37;2712609/12500000,4373177/20000000;8,21700872,0,0,0,65880000,0;8,21865885,0,0,0,66130000,100000000
35;L;37,38;4373177/20000000,11015761/50000000;8,21865885,0,0,0,66130000,100000000;8,22031522,0,0,0,66380000,0
35;L;38,39;11015761/50000000,4439557/20000000;8,22031522,0,0,0,66380000,0;8,22197785,0,0,0,66630000,100000000
35;L;39,40;4439557/20000000,87362/390625;8,22197785,0,0,0,66630000,100000000;8,22364672,0,0,0,66880000,0
35;L;40,41;87362/390625,4506437/20000000;8,22364672,0,0,0,66880000,0;8,22532185,0,0,0,67130000,100000000
35;L;41,42;4506437/20000000,11350161/50000000;8,22532185,0,0,0,67130000,100000000;8,22700322,0,0,0,67380000,0
35;L;42,43;11350161/50000000,4573817/20000000;8,22700322,0,0,0,67380000,0;8,22869085,0,0,0,67630000,100000000
35;L;43,44;4573817/20000000,2879809/12500000;8,22869085,0,0,0,67630000,100000000;8,23038472,0,0,0,67880000,0
35;L;44,45;2879809/12500000,4641697/20000000;8,23038472,0,0,0,67880000,0;8,23208485,0,0,0,68130000,100000000
35;L;45,46;4641697/20000000,11689561/50000000;8,23208485,0,0,0,68130000,100000000;8,23379122,0,0,0,68380000,0
35;L;46,47;11689561/50000000,5861897/25000000;8,23379122,0,0,0,68380000,0;8,23447588,0,0,0,68480052,78077296
36;C;0,1;7562643/20000000;2,37,0,0,60,42,2036;2,37,0,0,60,42,2036
37;C;0,23;26548897/100000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
37;C;23,35;10772353/50000000;2,21,0,0,64,0,104;4,2154,0,0,6563,0,7031
37;L;35,36;10772353/50000000,2712609/12500000;4,2154,0,0,6563,0,7031;8,21700872,0,0,65880000,0,0
37;L;36,37;2712609/12500000,4373177/20000000;8,21700872,0,0,65880000,0,0;8,21865885,0,0,66130000,0,100000000
37;L;37,38;4373177/20000000,11015761/50000000;8,21865885,0,0,66130000,0,100000000;8,22031522,0,0,66380000,0,0
37;L;38,39;11015761/50000000,4439557/20000000;8,22031522,0,0,66380000,0,0;8,22197785,0,0,66630000,0,100000000
37;L;39,40;4439557/20000000,87362/390625;8,22197785,0,0,66630000,0,100000000;8,22364672,0,0,66880000,0,0
37;L;40,41;87362/390625,4506437/20000000;8,22364672,0,0,66880000,0,0;8,22532185,0,0,67130000,0,100000000
37;L;41,42;4506437/20000000,11350161/50000000;8,22532185,0,0,67130000,0,100000000;8,22700322,0,0,67380000,0,0
37;L;42,43;11350161/50000000,4573817/20000000;8,22700322,0,0,67380000,0,0;8,22869085,0,0,67630000,0,100000000
37;L;43,44;4573817/20000000,2879809/12500000;8,22869085,0,0,67630000,0,100000000;8,23038472,0,0,67880000,0,0
37;L;44,45;2879809/12500000,4641697/20000000;8,23038472,0,0,67880000,0,0;8,23208485,0,0,68130000,0,100000000
37;L;45,46;4641697/20000000,11689561/50000000;8,23208485,0,0,68130000,0,100000000;8,23379122,0,0,68380000,0,0
37;L;46,47;11689561/50000000,5861897/25000000;8,23379122,0,0,68380000,0,0;8,23447588,0,0,68480052,0,78077296
38;C;1,24;13237071/50000000;6,264741,598110,0,0,414251,142536899;2,26,64,0,0,3,1095
38;C;24,35;10772353/50000000;2,21,64,0,0,3,95;4,2154,6563,0,0,0,7031
38;L;35,36;10772353/50000000,2712609/12500000;4,2154,6563,0,0,0,7031;8,21700872,65880000,0,0,0,0
38;L;36,37;2712609/12500000,4373177/20000000;8,21700872,65880000,0,0,0,0;8,21865885,66130000,0,0,0,100000000
38;L;37,38;4373177/20000000,11015761/50000000;8,21865885,66130000,0,0,0,100000000;8,22031522,66380000,0,0,0,0
38;L;38,39;11015761/50000000,4439557/20000000;8,22031522,66380000,0,0,0,0;8,22197785,66630000,0,0,0,100000000
38;L;39,40;4439557/20000000,87362/390625;8,22197785,66630000,0,0,0,100000000;8,22364672,66880000,0,0,0,0
38;L;40,41;87362/390625,4506437/20000000;8,22364672,66880000,0,0,0,0;8,22532185,67130000,0,0,0,100000000
38;L;41,42;4506437/20000000,11350161/50000000;8,22532185,67130000,0,0,0,100000000;8,22700322,67380000,0,0,0,0
38;L;42,43;11350161/50000000,4573817/20000000;8,22700322,67380000,0,0,0,0;8,22869085,67630000,0,0,0,100000000
38;L;43,44;4573817/20000000,2879809/12500000;8,22869085,67630000,0,0,0,100000000;8,23038472,67880000,0,0,0,0
38;L;44,45;2879809/12500000,4641697/20000000;8,23038472,67880000,0,0,0,0;8,23208485,68130000,0,0,0,100000000
38;L;45,46;4641697/20000000,11689561/50000000;8,23208485,68130000,0,0,0,100000000;8,23379122,68380000,0,0,0,0
38;L;46,47;11689561/50000000,5861897/25000000;8,23379122,68380000,0,0,0,0;8,23447588,68480052,0,0,0,78077296
39;C;0,23;26548897/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
39;C;23,35;10772353/50000000;2,21,0,0,0,64,104;4,2154,0,0,0,6563,7031
39;L;35,36;10772353/50000000,2712609/12500000;4,2154,0,0,0,6563,7031;8,21700872,0,0,0,65880000,0
39;L;36,37;2712609/12500000,4373177/20000000;8,21700872,0,0,0,65880000,0;8,21865885,0,0,0,66130000,100000000
39;L;37,38;4373177/20000000,11015761/50000000;8,21865885,0,0,0,66130000,100000000;8,22031522,0,0,0,66380000,0
39;L;38,39;11015761/50000000,4439557/20000000;8,22031522,0,0,0,66380000,0;8,22197785,0,0,0,66630000,100000000
39;L;39,40;4439557/20000000,87362/390625;8,22197785,0,0,0,66630000,100000000;8,22364672,0,0,0,66880000,0
39;L;40,41;87362/390625,4506437/20000000;8,22364672,0,0,0,66880000,0;8,22532185,0,0,0,67130000,100000000
39;L;41,42;4506437/20000000,11350161/50000000;8,22532185,0,0,0,67130000,100000000;8,22700322,0,0,0,67380000,0
39;L;42,43;11350161/50000000,4573817/20000000;8,22700322,0,0,0,67380000,0;8,22869085,0,0,0,67630000,100000000
39;L;43,44;4573817/20000000,2879809/12500000;8,22869085,0,0,0,67630000,100000000;8,23038472,0,0,0,67880000,0
39;L;44,45;2879809/12500000,4641697/20000000;8,23038472,0,0,0,67880000,0;8,23208485,0,0,0,68130000,100000000
39;L;45,46;4641697/20000000,11689561/50000000;8,23208485,0,0,0,68130000,100000000;8,23379122,0,0,0,68380000,0
39;L;46,47;11689561/50000000,5861897/25000000;8,23379122,0,0,0,68380000,0;8,23447588,0,0,0,68480052,78077296
40;C;0,23;26548897/100000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
40;C;23,35;10772353/50000000;2,21,0,0,64,0,104;4,2154,0,0,6563,0,7031
40;L;35,36;10772353/50000000,2712609/12500000;4,2154,0,0,6563,0,7031;8,21700872,0,0,65880000,0,0
40;L;36,37;2712609/12500000,4373177/20000000;8,21700872,0,0,65880000,0,0;8,21865885,0,0,66130000,0,100000000
40;L;37,38;4373177/20000000,11015761/50000000;8,21865885,0,0,66130000,0,100000000;8,22031522,0,0,66380000,0,0
40;L;38,39;11015761/50000000,4439557/20000000;8,22031522,0,0,66380000,0,0;8,22197785,0,0,66630000,0,100000000
40;L;39,40;4439557/20000000,87362/390625;8,22197785,0,0,66630000,0,100000000;8,22364672,0,0,66880000,0,0
40;L;40,41;87362/390625,4506437/20000000;8,22364672,0,0,66880000,0,0;8,22532185,0,0,67130000,0,100000000
40;L;41,42;4506437/20000000,11350161/50000000;8,22532185,0,0,67130000,0,100000000;8,22700322,0,0,67380000,0,0
40;L;42,43;11350161/50000000,4573817/20000000;8,22700322,0,0,67380000,0,0;8,22869085,0,0,67630000,0,100000000
40;L;43,44;4573817/20000000,2879809/12500000;8,22869085,0,0,67630000,0,100000000;8,23038472,0,0,67880000,0,0
40;L;44,45;2879809/12500000,4641697/20000000;8,23038472,0,0,67880000,0,0;8,23208485,0,0,68130000,0,100000000
40;L;45,46;4641697/20000000,11689561/50000000;8,23208485,0,0,68130000,0,100000000;8,23379122,0,0,68380000,0,0
40;L;46,47;11689561/50000000,5861897/25000000;8,23379122,0,0,68380000,0,0;8,23447588,0,0,68480052,0,78077296
41;C;0,31;24089497/100000000;2,24,0,0,23,60,671;10,2408949700,0,0,2414632455,6507575879,286318050334
42;C;0,31;24089497/100000000;2,24,0,0,20,60,800;10,2408949700,0,0,2414632455,6507575879,286318050334
43;C;4,10;36456223/100000000;10,3645622300,6037898828,0,0,6037898828,1485672452832;2,36,61,0,0,57,230
43;C;10,13;37096577/100000000;2,37,61,0,0,57,430;2,37,62,0,0,52,852
43;C;13,15;33510629/100000000;2,33,62,0,0,52,52;2,33,62,0,0,49,355
43;L;15,16;33510629/100000000,381247/1250000;2,33,62,0,0,49,355;4,3049,6213,0,0,4688,401287
43;L;16,17;381247/1250000,5954203/20000000;4,3049,6213,0,0,4688,401287;8,29771015,62304779,0,0,45522714,23835363
43;L;17,18;5954203/20000000,29555431/100000000;8,29771015,62304779,0,0,45522714,23835363;10,2955543100,6238000000,0,0,4494242721,364738516159
43;L;18,19;29555431/100000000,14431767/50000000;10,2955543100,6238000000,0,0,4494242721,364738516159;8,28863534,62630000,0,0,43013833,70648111
43;L;19,20;14431767/50000000,1763091/6250000;8,28863534,62630000,0,0,43013833,70648111;10,2820945600,6288000000,0,0,4108523814,69794893404
43;L;20,21;1763091/6250000,27593199/100000000;10,2820945600,6288000000,0,0,4108523814,69794893404;8,27593199,63130000,0,0,39156644,130657264
43;L;21,22;27593199/100000000,27014761/100000000;8,27593199,63130000,0,0,39156644,130657264;8,27014761,63380000,0,0,37228050,93197500
43;L;22,23;27014761/100000000,26548897/100000000;8,27014761,63380000,0,0,37228050,93197500;8,26548897,63594362,0,0,35574380,9428556
43;L;23,24;26548897/100000000,13237071/50000000;8,26548897,63594362,0,0,35574380,9428556;10,2647414200,6363000000,0,0,3529945454,91784733884
43;L;24,25;13237071/50000000,1623209/6250000;10,2647414200,6363000000,0,0,3529945454,91784733884;8,25971344,63880000,0,0,33370860,102860400
43;L;25,26;1623209/6250000,205383/800000;8,25971344,63880000,0,0,33370860,102860400;8,25672875,64038112,0,0,32151130,51198556
43;L;26,27;205383/800000,5101273/20000000;8,25672875,64038112,0,0,32151130,51198556;8,25506365,64130000,0,0,31442266,8785244
43;L;27,28;5101273/20000000,12539603/50000000;8,25506365,64130000,0,0,31442266,8785244;8,25079206,64380000,0,0,29513671,24103759
43;L;28,29;12539603/50000000,24689867/100000000;8,25079206,64380000,0,0,29513671,24103759;8,24689867,64630000,0,0,27585077,26904071
43;L;29,30;24689867/100000000,6084587/25000000;8,24689867,64630000,0,0,27585077,26904071;8,24338348,64880000,0,0,25656482,131383676
43;L;30,31;6084587/25000000,24089497/100000000;8,24338348,64880000,0,0,25656482,131383676;10,2408949700,6507575879,0,0,2414632455,286318050334
44;C;0,47;10772353/50000000;2,21,0,0,25,33,2486;2,21,0,0,29,38,1915
45;C;0,47;10772353/50000000;2,21,0,0,20,46,1684;2,21,0,0,29,38,1915
46;L;31,32;24089497/100000000,2978117/12500000;10,2408949700,2414632455,0,0,6507575879,286318050334;8,23824936,24216015,0,0,64641873,72571646
46;L;32,33;2978117/12500000,23562403/100000000;8,23824936,24216015,0,0,64641873,72571646;10,2356240300,2428567830,0,0,6420814858,854375530936
46;L;33,34;23562403/100000000,5657631/25000000;10,2356240300,2428567830,0,0,6420814858,854375530936;8,22630524,24537218,0,0,62642076,47230700
46;L;34,35;5657631/25000000,10772353/50000000;8,22630524,24537218,0,0,62642076,47230700;4,2154,2486,0,0,6065,115579
46;C;35,39;10772353/50000000;4,2154,2486,0,0,6065,115579;2,21,27,0,0,53,662
46;C;39,47;4439557/20000000;2,22,27,0,0,53,862;2,22,29,0,0,38,2115
47;C;0,1;7562643/20000000;2,37,0,0,10,60,3700;2,37,0,0,10,60,3700
48;C;0,7;36456223/100000000;2,36,0,0,5,60,3575;2,36,0,0,5,61,3454
49;C;0,1;7562643/20000000;2,37,0,0,60,10,3700;2,37,0,0,60,10,3700
50;C;0,7;36456223/100000000;2,36,0,0,5,60,3575;2,36,0,0,5,61,3454
51;C;1,26;205383/800000;2,25,60,0,0,10,1300;2,25,65,0,0,0,775
52;C;0,33;23562403/100000000;2,23,0,0,5,26,3899;2,23,0,0,5,28,3791
53;C;0,33;23562403/100000000;2,23,0,0,5,33,3486;2,23,0,0,5,28,3791
54;C;7,33;23562403/100000000;2,23,5,0,0,61,854;2,23,5,0,0,28,3791
55;C;0,1;7562643/20000000;2,37,0,0,0,60,3800;2,37,0,0,0,60,3800
56;C;0,23;26548897/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
57;C;0,26;205383/800000;2,25,0,0,0,60,1400;2,25,0,0,0,65,775
58;C;0,1;7562643/20000000;2,37,0,0,60,0,3800;2,37,0,0,60,0,3800
59;C;0,23;26548897/100000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
60;C;23,26;205383/800000;2,25,0,0,0,64,904;2,25,0,0,0,65,775
61;C;1,26;205383/800000;2,25,60,0,0,0,1400;2,25,65,0,0,0,775
62;C;0,33;23562403/100000000;2,23,0,0,0,53,1791;2,23,0,0,0,58,1236
63;C;23,33;23562403/100000000;2,23,0,0,0,64,504;2,23,0,0,0,58,1236
64;C;26,33;23562403/100000000;2,23,0,0,0,65,375;2,23,0,0,0,58,1236
65;C;0,23;26548897/100000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
66;C;0,1;7562643/20000000;2,37,0,0,22,60,3316;2,37,0,0,22,60,3316
67;C;0,7;36456223/100000000;2,36,0,0,17,60,3311;2,36,0,0,18,61,3155
68;C;0,1;7562643/20000000;2,37,0,0,60,22,3316;2,37,0,0,60,22,3316
69;C;0,7;36456223/100000000;2,36,0,0,17,60,3311;2,36,0,0,18,61,3155
70;C;1,7;36456223/100000000;2,36,60,0,0,22,3116;2,36,61,0,0,18,3155
71;C;0,33;23562403/100000000;2,23,0,0,20,26,3524;2,23,0,0,22,28,3332
72;C;0,33;23562403/100000000;2,23,0,0,16,33,3255;2,23,0,0,22,28,3332
73;C;7,33;23562403/100000000;2,23,18,0,0,61,555;2,23,22,0,0,28,3332
MASS SLACK NUMERATOR 8586740303677586255721159554369449900435076551833478140911015218936289487360762390917187586251245120563189625638186673161807
BIN 23: PATH1; (51/40,717/560]; gamma0=5969/10000; mass ceiling=49932449/50000000.
GAMMA 0=5969/10000;1=13817486250/23077592081;2=2997/5000;3=6019/10000;4=13245772500/21934164581;5=1511/2500;6=26872687500/44449952617;7=21750817500/35957943547;8=6069/10000;9=3047/5000;10=74900925000/122858410303;11=6119/10000;12=384/625;13=31399290000/50942523209;14=6169/10000;15=3097/5000;16=6219/10000;17=6622886250/10609350281;18=1561/2500;19=6269/10000;20=3147/5000;21=6319/10000;22=5395950000/8521111003;23=793/1250;24=6369/10000;25=46662120000/73054663799;26=3197/5000;27=6419/10000;28=1611/2500;29=6469/10000;30=3247/5000;31=9839043750/15120707081;32=6519/10000;33=5559755625/8521111003;34=409/625;35=6569/10000;36=3297/5000;37=6619/10000;38=1661/2500;39=6669/10000;40=3347/5000;41=6719/10000;42=843/1250;43=6769/10000;44=3397/5000;45=6819/10000;46=1711/2500;47=8421536250/12285692081;48=6869/10000;49=3447/5000;50=6919/10000;51=434/625;52=6969/10000;53=3497/5000;54=7019/10000;55=1761/2500;56=7069/10000;57=3547/5000;58=7119/10000;59=893/1250;60=7169/10000;61=3597/5000;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37778269,38002766;1,2,38002766,37562978;2,3,37562978,36544909;3,4,36544909,36468038;4,5,36468038,36529936;5,6,36529936,36549346;6,7,36549346,36589922;7,8,36589922,36832761;8,9,36832761,37136836;9,10,37136836,37167606;10,11,37167606,37442161;11,12,37442161,37748736;12,13,37748736,37990828;13,14,37990828,37213897;14,15,37213897,33805562;15,16,33805562,30785914;16,17,30785914,29403364;17,18,29403364,29360778;18,19,29360778,28671705;19,20,28671705,28021121;20,21,28021121,27409026;21,22,27409026,27095668;22,23,27095668,26835421;23,24,26835421,26300306;24,25,26300306,25933228;25,26,25933228,25803680;26,27,25803680,25345543;27,28,25345543,24925896;28,29,24925896,24544739;29,30,24544739,24202071;30,31,24202071,24039097;31,32,24039097,23450128;32,33,23450128,23174529;33,34,23174529,22254127;34,35,22254127,21575949;35,36,21575949,21740418;36,37,21740418,21905581;37,38,21905581,22071368;38,39,22071368,22237781;39,40,22237781,22404818;40,41,22404818,22572481;41,42,22572481,22740768;42,43,22740768,22909681;43,44,22909681,23079218;44,45,23079218,23249381;45,46,23249381,23420168;46,47,23420168,23493807;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;19960531631/5395950000,1/3,23077592081/10791900000;-101777147131489
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;1693/840,5/3,1031/1680;-123
10;6;1;-1
11;2,3,7;583/336,4/3,1031/1680;-89
14;6;1;-1
15;2,3,10;583/336,4/3,1031/1680;-89
17;2,3,5;87/70,11/3,1031/1680;-67
18;1,4,8;14765430881/3597300000,4/3,23077592081/10791900000;-65804147131489
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;583/336,4/3,1031/1680;-89
29;1,3,9;649/840,10/3,717/560;-649
30;1,4,11;14765430881/3597300000,4/3,23077592081/10791900000;-65804147131489
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;583/336,4/3,1031/1680;-89
41;1,3,12;649/840,10/3,717/560;-649
42;1,4,14;19960531631/5395950000,1/3,23077592081/10791900000;-101777147131489
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;583/336,4/3,1031/1680;-89
56;2,3,7;583/336,4/3,1031/1680;-89
58;2,3,10;583/336,4/3,1031/1680;-89
59;2,3,13;87/70,11/3,1031/1680;-67
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;2533/840,5/3,437/560;-89
70;6;1;-1
72;1,4,6;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
74;6;1;-1
77;2,3,5;157/70,4,437/560;-11
78;1,4,8;20679392081/3597300000,1/3,23077592081/10791900000;-119763647131489
79;1,4,8;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;6290192081/1798650000,14/3,23077592081/10791900000;-11844647131489
84;1,4,8;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
86;8;1;-1
89;1,3,9;649/840,10/3,717/560;-649
90;1,4,11;20679392081/3597300000,1/3,23077592081/10791900000;-119763647131489
91;1,4,11;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;6290192081/1798650000,14/3,23077592081/10791900000;-11844647131489
96;1,4,11;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
98;11;1;-1
101;1,3,12;649/840,10/3,717/560;-649
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;7249472081/2158380000,11/3,23077592081/10791900000;-5849147131489
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;2533/840,5/3,437/560;-89
119;2,3,13;157/70,4,437/560;-11
120;0,1,6;5/3,2,1;-1
121;1,4,6;3254660489/674493750,5/3,23077592081/10791900000;-47817647131489
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;3373/840,13/6,577/560;-89
130;6;1;-1
132;1,4,6;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;8324465231/1798650000,11/3,23077592081/10791900000;-38824397131489
144;1,4,8;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
146;8;1;-1
149;1,3,9;649/840,10/3,717/560;-649
150;0,1,11;2/3,3,1;-2
151;1,4,11;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;8324465231/1798650000,11/3,23077592081/10791900000;-38824397131489
156;1,4,11;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
158;11;1;-1
161;1,3,12;649/840,10/3,717/560;-649
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;10202135921/2158380000,8/3,23077592081/10791900000;-41822147131489
169;14;1;-1
171;1,4,14;3254660489/674493750,5/3,23077592081/10791900000;-47817647131489
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;3373/840,13/6,577/560;-89
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;237840606366160,162151947505420965225000,22154953007985,260120
4;1,4,6,3;237840606366160,195056164663010316540000,1316061507717012,155344
5;5,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
12;1,4,6,3;237840606366160,195056164663010316540000,1316061507717012,155344
13;5,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
16;5,4,2,3;402529395513980,132099775962613439400000,4874773130154480,1112160
19;1,4,8,3;237840606366160,195056164663010316540000,1316061507717012,155344
22;1,4,8,3;237840606366160,108891011097789240600000,402529395513980,256480
23;7,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
24;1,4,8,3;237840606366160,195056164663010316540000,1316061507717012,155344
25;7,4,2,3;22154953007985,25273852317230039775000,4874773130154480,160440
28;7,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
31;1,4,11,3;237840606366160,195056164663010316540000,1316061507717012,155344
34;1,4,11,3;237840606366160,108891011097789240600000,402529395513980,256480
35;10,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
36;1,4,11,3;237840606366160,195056164663010316540000,1316061507717012,155344
37;10,4,2,3;22154953007985,25273852317230039775000,4874773130154480,160440
40;10,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
44;1,4,14,3;237840606366160,195056164663010316540000,1316061507717012,155344
48;1,4,14,3;237840606366160,195056164663010316540000,1316061507717012,155344
50;13,4,2,3;402529395513980,132099775962613439400000,4874773130154480,1112160
51;1,4,14,3;237840606366160,162151947505420965225000,22154953007985,260120
53;13,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
57;13,4,2,3;1316061507717012,99478947431352095460000,4874773130154480,286608
61;1,4,6,3;237840606366160,33141130985841930450000,321866289362310,24920
65;1,4,9,3;237840606366160,259443116008673544360000,8200016428979088,208096
71;7,4,2,3;8200016428979088,44810325886890455640000,6093957222366160,74144
73;1,4,12,3;237840606366160,259443116008673544360000,8200016428979088,208096
75;10,4,2,3;8200016428979088,44810325886890455640000,6093957222366160,74144
76;1,4,2,3;237840606366160,582325528050000000000000,6093957222366160,156800
83;1,4,2,3;237840606366160,582325528050000000000000,6093957222366160,156800
85;7,4,12,3;321866289362310,87265941945613613910000,8200016428979088,267288
87;10,4,2,3;8200016428979088,44810325886890455640000,6093957222366160,74144
88;1,4,2,3;237840606366160,582325528050000000000000,6093957222366160,156800
95;1,4,2,3;237840606366160,582325528050000000000000,6093957222366160,156800
97;10,4,9,3;321866289362310,87265941945613613910000,8200016428979088,267288
99;7,4,2,3;8200016428979088,44810325886890455640000,6093957222366160,74144
100;1,4,2,3;237840606366160,582325528050000000000000,6093957222366160,156800
110;1,4,2,3;237840606366160,582325528050000000000000,6093957222366160,156800
111;1,4,14,3;237840606366160,33141130985841930450000,321866289362310,24920
113;1,4,9,3;237840606366160,259443116008673544360000,8200016428979088,208096
116;7,4,2,3;8200016428979088,44810325886890455640000,6093957222366160,74144
117;1,4,12,3;237840606366160,259443116008673544360000,8200016428979088,208096
118;10,4,2,3;8200016428979088,44810325886890455640000,6093957222366160,74144
125;1,4,9,3;237840606366160,26512904788673544360000,1716174345880008,19936
131;7,4,2,3;1716174345880008,54569022527229061320000,2651625016932080,121184
133;1,4,12,3;237840606366160,26512904788673544360000,1716174345880008,19936
135;10,4,2,3;1716174345880008,54569022527229061320000,2651625016932080,121184
136;1,4,2,6,3;237840606366160,145581382012500000000000,3096988423093,17,23450
137;5,2,3;17,17,5950
143;1,4,2,8,3;237840606366160,145581382012500000000000,3096988423093,17,23450
145;1,4,12,3;237840606366160,26512904788673544360000,1716174345880008,19936
147;10,4,2,3;1716174345880008,54569022527229061320000,2651625016932080,121184
148;1,4,2,8,3;237840606366160,145581382012500000000000,3096988423093,17,23450
155;1,4,2,11,3;237840606366160,145581382012500000000000,3096988423093,17,23450
157;1,4,9,3;237840606366160,26512904788673544360000,1716174345880008,19936
159;7,4,2,3;1716174345880008,54569022527229061320000,2651625016932080,121184
160;1,4,2,11,3;237840606366160,145581382012500000000000,3096988423093,17,23450
170;1,4,2,14,3;237840606366160,145581382012500000000000,3096988423093,17,23450
173;1,4,9,3;237840606366160,26512904788673544360000,1716174345880008,19936
176;7,4,2,3;1716174345880008,54569022527229061320000,2651625016932080,121184
177;1,4,12,3;237840606366160,26512904788673544360000,1716174345880008,19936
178;10,4,2,3;1716174345880008,54569022527229061320000,2651625016932080,121184
179;13,2,3;17,17,5950
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
5:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
12:V/3,1/5/0/1;V/6,3/6/0/10;E/4,1/7/0/1;E/4,6/8/0/10;E/4,3/9/1/10
13:V/3,5/6/0/10;V/2,3/10/0/17;E/4,5/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
16:V/3,5/13/0/7;V/2,3/14/0/17;E/4,5/15/0/7;E/4,2/16/0/17;E/4,3/17/7/17
19:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
22:V/3,1/5/0/1;V/8,3/13/0/7;E/4,1/7/0/1;E/4,8/15/0/7;E/4,3/9/1/7
23:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
24:V/3,1/0/0/1;V/8,3/6/0/10;E/4,1/2/0/1;E/4,8/8/0/10;E/4,3/4/1/10
25:V/3,7/1/0/13;V/2,3/18/0/17;E/4,7/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
28:V/3,7/6/0/10;V/2,3/10/0/17;E/4,7/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
31:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
34:V/3,1/5/0/1;V/11,3/13/0/7;E/4,1/7/0/1;E/4,11/15/0/7;E/4,3/9/1/7
35:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
36:V/3,1/0/0/1;V/11,3/6/0/10;E/4,1/2/0/1;E/4,11/8/0/10;E/4,3/4/1/10
37:V/3,10/1/0/13;V/2,3/18/0/17;E/4,10/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
40:V/3,10/6/0/10;V/2,3/10/0/17;E/4,10/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
44:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
48:V/3,1/5/0/1;V/14,3/6/0/10;E/4,1/7/0/1;E/4,14/8/0/10;E/4,3/9/1/10
50:V/3,13/13/0/7;V/2,3/14/0/17;E/4,13/15/0/7;E/4,2/16/0/17;E/4,3/17/7/17
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
57:V/3,13/6/0/10;V/2,3/10/0/17;E/4,13/8/0/10;E/4,2/11/0/17;E/4,3/12/10/17
61:V/3,1/21/0/1;V/6,3/22/0/4;E/4,1/23/0/1;E/4,6/24/0/4;E/4,3/25/1/4
65:V/3,1/26/0/1;V/9,3/27/0/31;E/4,1/28/0/1;E/4,9/29/0/31;E/4,3/30/1/31
71:V/3,7/27/0/31;V/2,3/31/0/47;E/4,7/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
73:V/3,1/26/0/1;V/12,3/27/0/31;E/4,1/28/0/1;E/4,12/29/0/31;E/4,3/30/1/31
75:V/3,10/27/0/31;V/2,3/31/0/47;E/4,10/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
76:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
83:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
85:V/3,7/22/0/4;V/12,3/41/0/31;E/4,7/24/0/4;E/4,12/42/0/31;E/4,3/43/4/31
87:V/3,10/41/0/31;V/2,3/44/0/47;E/4,10/42/0/31;E/4,2/45/0/47;E/4,3/46/31/47
88:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
95:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
97:V/3,10/22/0/4;V/9,3/41/0/31;E/4,10/24/0/4;E/4,9/42/0/31;E/4,3/43/4/31
99:V/3,7/41/0/31;V/2,3/44/0/47;E/4,7/42/0/31;E/4,2/45/0/47;E/4,3/46/31/47
100:V/3,1/26/0/1;V/2,3/39/0/47;E/4,1/28/0/1;E/4,2/40/0/47;E/4,3/30/1/47
110:V/3,1/34/0/1;V/2,3/35/0/47;E/4,1/36/0/1;E/4,2/37/0/47;E/4,3/38/1/47
111:V/3,1/21/0/1;V/14,3/22/0/4;E/4,1/23/0/1;E/4,14/24/0/4;E/4,3/25/1/4
113:V/3,1/26/0/1;V/9,3/27/0/31;E/4,1/28/0/1;E/4,9/29/0/31;E/4,3/30/1/31
116:V/3,7/27/0/31;V/2,3/31/0/47;E/4,7/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
117:V/3,1/26/0/1;V/12,3/27/0/31;E/4,1/28/0/1;E/4,12/29/0/31;E/4,3/30/1/31
118:V/3,10/27/0/31;V/2,3/31/0/47;E/4,10/29/0/31;E/4,2/32/0/47;E/4,3/33/31/47
125:V/3,1/47/0/1;V/9,3/48/0/6;E/4,1/49/0/1;E/4,9/50/0/6;E/4,3/51/1/6
131:V/3,7/48/0/6;V/2,3/52/0/33;E/4,7/50/0/6;E/4,2/53/0/33;E/4,3/54/6/33
133:V/3,1/47/0/1;V/12,3/48/0/6;E/4,1/49/0/1;E/4,12/50/0/6;E/4,3/51/1/6
135:V/3,10/48/0/6;V/2,3/52/0/33;E/4,10/50/0/6;E/4,2/53/0/33;E/4,3/54/6/33
136:V/3,1/55/0/1;V/2,6/56/0/22;V/6,3/57/0/25;E/4,1/58/0/1;E/4,2/59/0/22;E/4,6/60/22/25;E/4,3/61/1/25
137:V/3,5/57/0/25;V/5,2/56/0/22;V/2,3/62/0/33;E/4,5/60/22/25;E/4,2/63/22/33;E/4,3/64/25/33
143:V/3,1/47/0/1;V/2,8/56/0/22;V/8,3/57/0/25;E/4,1/49/0/1;E/4,2/65/0/22;E/4,8/60/22/25;E/4,3/51/1/25
145:V/3,1/66/0/1;V/12,3/67/0/6;E/4,1/68/0/1;E/4,12/69/0/6;E/4,3/70/1/6
147:V/3,10/67/0/6;V/2,3/71/0/33;E/4,10/69/0/6;E/4,2/72/0/33;E/4,3/73/6/33
148:V/3,1/47/0/1;V/2,8/56/0/22;V/8,3/57/0/25;E/4,1/49/0/1;E/4,2/65/0/22;E/4,8/60/22/25;E/4,3/51/1/25
155:V/3,1/47/0/1;V/2,11/56/0/22;V/11,3/57/0/25;E/4,1/49/0/1;E/4,2/65/0/22;E/4,11/60/22/25;E/4,3/51/1/25
157:V/3,1/66/0/1;V/9,3/67/0/6;E/4,1/68/0/1;E/4,9/69/0/6;E/4,3/70/1/6
159:V/3,7/67/0/6;V/2,3/71/0/33;E/4,7/69/0/6;E/4,2/72/0/33;E/4,3/73/6/33
160:V/3,1/47/0/1;V/2,11/56/0/22;V/11,3/57/0/25;E/4,1/49/0/1;E/4,2/65/0/22;E/4,11/60/22/25;E/4,3/51/1/25
170:V/3,1/55/0/1;V/2,14/56/0/22;V/14,3/57/0/25;E/4,1/58/0/1;E/4,2/59/0/22;E/4,14/60/22/25;E/4,3/61/1/25
173:V/3,1/47/0/1;V/9,3/48/0/6;E/4,1/49/0/1;E/4,9/50/0/6;E/4,3/51/1/6
176:V/3,7/48/0/6;V/2,3/52/0/33;E/4,7/50/0/6;E/4,2/53/0/33;E/4,3/54/6/33
177:V/3,1/47/0/1;V/12,3/48/0/6;E/4,1/49/0/1;E/4,12/50/0/6;E/4,3/51/1/6
178:V/3,10/48/0/6;V/2,3/52/0/33;E/4,10/50/0/6;E/4,2/53/0/33;E/4,3/54/6/33
179:V/3,13/57/0/25;V/13,2/56/0/22;V/2,3/62/0/33;E/4,13/60/22/25;E/4,2/63/22/33;E/4,3/64/25/33
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37778269/100000000,19001383/50000000;6,377782,0,206908,596900,596900,173859536;8,38002766,0,20754571,59874038,59874038,129755071
1;C;0,3;36544909/100000000;2,36,0,0,60,60,0;4,3654,0,0,6019,6019,623278
1;C;3,4;18234019/50000000;4,3646,0,0,6019,6019,463278;8,36468038,0,0,60388772,60388772,32664032
1;L;4,5;18234019/50000000,2283121/6250000;8,36468038,0,0,60388772,60388772,32664032;8,36529936,0,0,60440000,60440000,0
1;L;5,6;2283121/6250000,18274673/50000000;8,36529936,0,0,60440000,60440000,0;8,36549346,0,0,60456055,60456055,27673950
1;L;6,7;18274673/50000000,18294961/50000000;8,36549346,0,0,60456055,60456055,27673950;8,36589922,0,0,60489604,60489604,15846368
1;L;7,8;18294961/50000000,36832761/100000000;8,36589922,0,0,60489604,60489604,15846368;8,36832761,0,0,60690000,60690000,0
1;L;8,9;36832761/100000000,9284209/25000000;8,36832761,0,0,60690000,60690000,0;8,37136836,0,0,60940000,60940000,0
1;L;9,10;9284209/25000000,18583803/50000000;8,37136836,0,0,60940000,60940000,0;10,3716760600,0,0,6096524025,6096524025,1625195598750
1;L;10,11;18583803/50000000,37442161/100000000;10,3716760600,0,0,6096524025,6096524025,1625195598750;8,37442161,0,0,61190000,61190000,0
1;L;11,12;37442161/100000000,147456/390625;8,37442161,0,0,61190000,61190000,0;8,37748736,0,0,61440000,61440000,0
1;L;12,13;147456/390625,9497707/25000000;8,37748736,0,0,61440000,61440000,0;8,37990828,0,0,61636700,61636700,26220000
2;L;0,1;37778269/100000000,19001383/50000000;8,37778269,0,59690000,59690000,20733100,164390000;8,38002766,0,59874038,59874038,20754571,129755071
3;C;0,3;36544909/100000000;2,36,0,0,60,60,0;4,3654,0,0,6019,6019,623278
3;C;3,4;18234019/50000000;4,3646,0,0,6019,6019,463278;8,36468038,0,0,60388772,60388772,32664032
3;L;4,5;18234019/50000000,2283121/6250000;8,36468038,0,0,60388772,60388772,32664032;8,36529936,0,0,60440000,60440000,0
3;L;5,6;2283121/6250000,18274673/50000000;8,36529936,0,0,60440000,60440000,0;8,36549346,0,0,60456055,60456055,27673950
3;L;6,7;18274673/50000000,18294961/50000000;8,36549346,0,0,60456055,60456055,27673950;8,36589922,0,0,60489604,60489604,15846368
3;L;7,8;18294961/50000000,36832761/100000000;8,36589922,0,0,60489604,60489604,15846368;8,36832761,0,0,60690000,60690000,0
3;L;8,9;36832761/100000000,9284209/25000000;8,36832761,0,0,60690000,60690000,0;8,37136836,0,0,60940000,60940000,0
3;L;9,10;9284209/25000000,18583803/50000000;8,37136836,0,0,60940000,60940000,0;10,3716760600,0,0,6096524025,6096524025,1625195598750
3;L;10,11;18583803/50000000,37442161/100000000;10,3716760600,0,0,6096524025,6096524025,1625195598750;8,37442161,0,0,61190000,61190000,0
3;L;11,12;37442161/100000000,147456/390625;8,37442161,0,0,61190000,61190000,0;8,37748736,0,0,61440000,61440000,0
3;L;12,13;147456/390625,9497707/25000000;8,37748736,0,0,61440000,61440000,0;8,37990828,0,0,61636700,61636700,26220000
4;L;1,2;19001383/50000000,18781489/50000000;8,38002766,59874038,59874038,0,20754571,129755071;8,37562978,59940000,59940000,0,18082820,20847600
4;L;2,3;18781489/50000000,36544909/100000000;8,37562978,59940000,59940000,0,18082820,20847600;8,36544909,60190000,60190000,0,7956724,143187824
4;L;3,4;36544909/100000000,18234019/50000000;8,36544909,60190000,60190000,0,7956724,143187824;8,36468038,60388772,60388772,0,0,32664032
4;L;4,5;18234019/50000000,2283121/6250000;8,36468038,60388772,60388772,0,0,32664032;8,36529936,60440000,60440000,0,0,0
4;L;5,6;2283121/6250000,18274673/50000000;8,36529936,60440000,60440000,0,0,0;8,36549346,60456055,60456055,0,0,27673950
4;L;6,7;18274673/50000000,18294961/50000000;8,36549346,60456055,60456055,0,0,27673950;8,36589922,60489604,60489604,0,0,15846368
4;L;7,8;18294961/50000000,36832761/100000000;8,36589922,60489604,60489604,0,0,15846368;8,36832761,60690000,60690000,0,0,0
4;L;8,9;36832761/100000000,9284209/25000000;8,36832761,60690000,60690000,0,0,0;8,37136836,60940000,60940000,0,0,0
4;L;9,10;9284209/25000000,18583803/50000000;8,37136836,60940000,60940000,0,0,0;10,3716760600,6096524025,6096524025,0,0,1625195598750
4;L;10,11;18583803/50000000,37442161/100000000;10,3716760600,6096524025,6096524025,0,0,1625195598750;8,37442161,61190000,61190000,0,0,0
4;L;11,12;37442161/100000000,147456/390625;8,37442161,61190000,61190000,0,0,0;8,37748736,61440000,61440000,0,0,0
4;L;12,13;147456/390625,9497707/25000000;8,37748736,61440000,61440000,0,0,0;8,37990828,61636700,61636700,0,0,26220000
5;C;0,1;37778269/100000000;2,37,0,10,60,60,100;2,37,0,10,60,60,100
6;C;0,2;18781489/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
6;C;2,3;36544909/100000000;2,36,0,0,60,60,0;4,3654,0,0,6019,6019,623278
6;C;3,4;18234019/50000000;4,3646,0,0,6019,6019,463278;8,36468038,0,0,60388772,60388772,32664032
6;L;4,5;18234019/50000000,2283121/6250000;8,36468038,0,0,60388772,60388772,32664032;8,36529936,0,0,60440000,60440000,0
6;L;5,6;2283121/6250000,18274673/50000000;8,36529936,0,0,60440000,60440000,0;8,36549346,0,0,60456055,60456055,27673950
6;L;6,7;18274673/50000000,18294961/50000000;8,36549346,0,0,60456055,60456055,27673950;8,36589922,0,0,60489604,60489604,15846368
6;L;7,8;18294961/50000000,36832761/100000000;8,36589922,0,0,60489604,60489604,15846368;8,36832761,0,0,60690000,60690000,0
6;L;8,9;36832761/100000000,9284209/25000000;8,36832761,0,0,60690000,60690000,0;8,37136836,0,0,60940000,60940000,0
6;L;9,10;9284209/25000000,18583803/50000000;8,37136836,0,0,60940000,60940000,0;10,3716760600,0,0,6096524025,6096524025,1625195598750
7;C;0,1;37778269/100000000;2,37,0,60,60,10,100;2,37,0,60,60,10,100
8;C;0,2;18781489/50000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
8;C;2,3;36544909/100000000;2,36,0,0,60,60,0;4,3654,0,0,6019,6019,623278
8;C;3,4;18234019/50000000;4,3646,0,0,6019,6019,463278;8,36468038,0,0,60388772,60388772,32664032
8;L;4,5;18234019/50000000,2283121/6250000;8,36468038,0,0,60388772,60388772,32664032;8,36529936,0,0,60440000,60440000,0
8;L;5,6;2283121/6250000,18274673/50000000;8,36529936,0,0,60440000,60440000,0;8,36549346,0,0,60456055,60456055,27673950
8;L;6,7;18274673/50000000,18294961/50000000;8,36549346,0,0,60456055,60456055,27673950;8,36589922,0,0,60489604,60489604,15846368
8;L;7,8;18294961/50000000,36832761/100000000;8,36589922,0,0,60489604,60489604,15846368;8,36832761,0,0,60690000,60690000,0
8;L;8,9;36832761/100000000,9284209/25000000;8,36832761,0,0,60690000,60690000,0;8,37136836,0,0,60940000,60940000,0
8;L;9,10;9284209/25000000,18583803/50000000;8,37136836,0,0,60940000,60940000,0;10,3716760600,0,0,6096524025,6096524025,1625195598750
9;C;1,3;36544909/100000000;4,3654,5988,5988,0,918,524988;4,3654,6019,6019,0,0,623278
9;C;3,4;18234019/50000000;4,3646,6019,6019,0,0,463278;8,36468038,60388772,60388772,0,0,32664032
9;L;4,5;18234019/50000000,2283121/6250000;8,36468038,60388772,60388772,0,0,32664032;8,36529936,60440000,60440000,0,0,0
9;L;5,6;2283121/6250000,18274673/50000000;8,36529936,60440000,60440000,0,0,0;8,36549346,60456055,60456055,0,0,27673950
9;L;6,7;18274673/50000000,18294961/50000000;8,36549346,60456055,60456055,0,0,27673950;8,36589922,60489604,60489604,0,0,15846368
9;L;7,8;18294961/50000000,36832761/100000000;8,36589922,60489604,60489604,0,0,15846368;8,36832761,60690000,60690000,0,0,0
9;L;8,9;36832761/100000000,9284209/25000000;8,36832761,60690000,60690000,0,0,0;8,37136836,60940000,60940000,0,0,0
9;L;9,10;9284209/25000000,18583803/50000000;8,37136836,60940000,60940000,0,0,0;10,3716760600,6096524025,6096524025,0,0,1625195598750
10;C;0,17;7350841/25000000;2,29,0,0,17,60,1911;2,29,0,0,17,63,1542
11;C;0,17;7350841/25000000;2,29,0,0,60,22,1716;2,29,0,0,63,17,1542
12;C;10,13;18583803/50000000;10,3716760600,6096524025,0,0,6096524025,1625195598750;2,37,62,0,0,41,1875
12;C;13,17;7350841/25000000;2,29,62,0,0,41,275;2,29,63,0,0,17,1542
13;C;0,3;36544909/100000000;2,36,0,0,60,60,0;4,3654,0,0,6019,6019,623278
13;C;3,4;18234019/50000000;4,3646,0,0,6019,6019,463278;8,36468038,0,0,60388772,60388772,32664032
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38;C;1,24;13150153/50000000;4,2630,5988,0,0,4047,365647;2,26,64,0,0,2,1100
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43;L;26,27;161273/625000,25345543/100000000;8,25803680,63940000,0,0,32747706,151737564;8,25345543,64190000,0,0,30801826,15065724
43;L;27,28;25345543/100000000,3115737/12500000;8,25345543,64190000,0,0,30801826,15065724;8,24925896,64440000,0,0,28855945,38156975
43;L;28,29;3115737/12500000,24544739/100000000;8,24925896,64440000,0,0,28855945,38156975;8,24544739,64690000,0,0,26910065,101695775
43;L;29,30;24544739/100000000,24202071/100000000;8,24544739,64690000,0,0,26910065,101695775;8,24202071,64940000,0,0,24964184,117214144
43;L;30,31;24202071/100000000,24039097/100000000;8,24202071,64940000,0,0,24964184,117214144;10,2403909700,6506999771,0,0,2395234404,130100712343
44;C;0,47;21575949/100000000;2,21,0,0,25,33,2486;2,21,0,0,29,37,1990
45;C;0,47;21575949/100000000;2,21,0,0,20,45,1775;2,21,0,0,29,37,1990
46;L;31,32;24039097/100000000,1465633/6250000;10,2403909700,2395234404,0,0,6506999771,130100712343;10,2345012800,2410823831,0,0,6410006522,843799946955
46;L;32,33;1465633/6250000,23174529/100000000;10,2345012800,2410823831,0,0,6410006522,843799946955;8,23174529,24182079,0,0,63640653,140971350
46;L;33,34;23174529/100000000,22254127/100000000;8,23174529,24182079,0,0,63640653,140971350;10,2225412700,2443301182,0,0,6207941126,310155255000
46;L;34,35;22254127/100000000,21575949/100000000;10,2225412700,2443301182,0,0,6207941126,310155255000;4,2157,2476,0,0,6006,937388
46;C;35,39;21575949/100000000;4,2157,2476,0,0,6006,937388;2,21,27,0,0,52,767
46;C;39,47;22237781/100000000;2,22,27,0,0,52,967;2,22,29,0,0,37,2190
47;C;0,1;37778269/100000000;2,37,0,0,9,60,3719;2,37,0,0,9,60,3719
48;C;0,6;18234019/50000000;2,36,0,0,5,60,3575;2,36,0,0,5,61,3454
49;C;0,1;37778269/100000000;2,37,0,0,60,10,3700;2,37,0,0,60,9,3719
50;C;0,6;18234019/50000000;2,36,0,0,5,60,3575;2,36,0,0,5,61,3454
51;C;1,25;6483307/25000000;2,25,60,0,0,9,1319;2,25,64,0,0,0,904
52;C;0,33;23174529/100000000;2,23,0,0,5,25,3950;2,23,0,0,5,28,3791
53;C;0,33;23174529/100000000;2,23,0,0,5,33,3486;2,23,0,0,5,28,3791
54;C;6,33;23174529/100000000;2,23,5,0,0,61,854;2,23,5,0,0,28,3791
55;C;0,1;37778269/100000000;2,37,0,0,0,60,3800;2,37,0,0,0,60,3800
56;C;0,22;6773917/25000000;2,27,0,0,0,60,1800;2,27,0,0,0,64,1304
57;C;0,25;6483307/25000000;2,25,0,0,0,60,1400;2,25,0,0,0,64,904
58;C;0,1;37778269/100000000;2,37,0,0,60,0,3800;2,37,0,0,60,0,3800
59;C;0,22;6773917/25000000;2,27,0,0,60,0,1800;2,27,0,0,64,0,1304
60;C;22,25;6483307/25000000;2,25,0,0,0,64,904;2,25,0,0,0,64,904
61;C;1,25;6483307/25000000;2,25,60,0,0,0,1400;2,25,64,0,0,0,904
62;C;0,33;23174529/100000000;2,23,0,0,0,52,1896;2,23,0,0,0,57,1351
63;C;22,33;23174529/100000000;2,23,0,0,0,64,504;2,23,0,0,0,57,1351
64;C;25,33;23174529/100000000;2,23,0,0,0,64,504;2,23,0,0,0,57,1351
65;C;0,22;6773917/25000000;2,27,0,0,60,0,1800;2,27,0,0,64,0,1304
66;C;0,1;37778269/100000000;2,37,0,0,21,60,3359;2,37,0,0,21,60,3359
67;C;0,6;18234019/50000000;2,36,0,0,17,60,3311;2,36,0,0,17,61,3190
68;C;0,1;37778269/100000000;2,37,0,0,60,22,3316;2,37,0,0,60,21,3359
69;C;0,6;18234019/50000000;2,36,0,0,17,60,3311;2,36,0,0,17,61,3190
70;C;1,6;18234019/50000000;2,36,60,0,0,21,3159;2,36,61,0,0,17,3190
71;C;0,33;23174529/100000000;2,23,0,0,20,25,3575;2,23,0,0,22,28,3332
72;C;0,33;23174529/100000000;2,23,0,0,16,33,3255;2,23,0,0,22,28,3332
73;C;6,33;23174529/100000000;2,23,17,0,0,61,590;2,23,22,0,0,28,3332
MASS SLACK NUMERATOR 4008366013560031579237784854056116417794829758554471288498574107950161318324429690101022778731063885418219648030413
BIN 24: PATH1; (717/560,1437/1120]; gamma0=1493/2500; mass ceiling=19898399/20000000.
GAMMA 0=1493/2500;1=96924751875/162049394567;2=5997/10000;3=3011/5000;4=4901321250/8128952543;5=377566612500/625531410653;6=306939622500/508241564063;7=6047/10000;8=759/1250;9=1056706875000/1736533807457;10=6097/10000;11=3061/5000;12=6147/10000;13=442827630000/720050679331;14=1543/2500;15=6197/10000;16=3111/5000;17=46562551875/74771701967;18=6247/10000;19=392/625;20=6297/10000;21=37771650000/59900902021;22=3161/5000;23=6347/10000;24=657586440000/1032850663261;25=1593/2500;26=6397/10000;27=3211/5000;28=6447/10000;29=809/1250;30=69210553125/106620997067;31=6497/10000;32=78038926875/119801804042;33=3261/5000;34=6547/10000;35=1643/2500;36=6597/10000;37=3311/5000;38=6647/10000;39=417/625;40=6697/10000;41=3361/5000;42=6747/10000;43=1693/2500;44=6797/10000;45=3411/5000;46=59153101875/86506094567;47=6847/10000;48=859/1250;49=6897/10000;50=3461/5000;51=6947/10000;52=1743/2500;53=6997/10000;54=3511/5000;55=7047/10000;56=442/625;57=7097/10000;58=3561/5000;59=7147/10000;60=1793/2500;61=7197/10000;62=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37709070,37820837;1,2,37820837,36881999;2,3,36881999,36309173;3,4,36309173,36354416;4,5,36354416,36432496;5,6,36432496,36472502;6,7,36472502,36566209;7,8,36566209,36869184;8,9,36869184,37029051;9,10,37029051,37173409;10,11,37173409,37478884;11,12,37478884,37785609;12,13,37785609,37821896;13,14,37821896,34574276;14,15,34574276,31295708;15,16,31295708,29483195;16,17,29483195,29327760;17,18,29327760,28765235;18,19,28765235,28087321;19,20,28087321,27449454;20,21,27449454,27237118;21,22,27237118,26851632;22,23,26851632,26293857;23,24,26293857,25882265;24,25,25882265,25776128;25,26,25776128,25298445;26,27,25298445,24860808;27,28,24860808,24463217;28,29,24463217,24105673;29,30,24105673,23857425;30,31,23857425,23569129;31,32,23569129,22727394;32,33,22727394,22338469;33,34,22338469,21431614;34,35,21431614,21595592;35,36,21595592,21760205;36,37,21760205,21925442;37,38,21925442,22091305;38,39,22091305,22257792;39,40,22257792,22424905;40,41,22424905,22592642;41,42,22592642,22761005;42,43,22761005,22929992;43,44,22929992,23099605;44,45,23099605,23269842;45,46,23269842,23379308;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;140229971417/37771650000,1/3,162049394567/75543300000;-178986996088531
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;3413/1680,5/3,2071/3360;-243
10;6;1;-1
11;2,3,7;1175/672,4/3,2071/3360;-169
14;6;1;-1
15;2,3,10;1175/672,4/3,2071/3360;-169
17;2,3,5;177/140,11/3,2071/3360;-131
18;1,4,8;103864266167/25181100000,4/3,162049394567/75543300000;-116034246088531
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;1175/672,4/3,2071/3360;-169
29;1,3,9;1289/1680,10/3,1437/1120;-1289
30;1,4,11;103864266167/25181100000,4/3,162049394567/75543300000;-116034246088531
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;1175/672,4/3,2071/3360;-169
41;1,3,12;1289/1680,10/3,1437/1120;-1289
42;1,4,14;140229971417/37771650000,1/3,162049394567/75543300000;-178986996088531
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;1175/672,4/3,2071/3360;-169
56;2,3,7;1175/672,4/3,2071/3360;-169
58;2,3,10;1175/672,4/3,2071/3360;-169
59;2,3,13;177/140,11/3,2071/3360;-131
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;5093/1680,5/3,877/1120;-169
70;6;1;-1
72;1,4,6;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
74;6;1;-1
77;2,3,5;317/140,4,877/1120;-19
78;1,4,8;145261994567/25181100000,1/3,162049394567/75543300000;-210463371088531
79;1,4,8;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;44537594567/12590550000,14/3,162049394567/75543300000;-21605121088531
84;1,4,8;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
86;8;1;-1
89;1,3,9;1289/1680,10/3,1437/1120;-1289
90;1,4,11;145261994567/25181100000,1/3,162049394567/75543300000;-210463371088531
91;1,4,11;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;44537594567/12590550000,14/3,162049394567/75543300000;-21605121088531
96;1,4,11;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
98;11;1;-1
101;1,3,12;1289/1680,10/3,1437/1120;-1289
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;51252554567/15108660000,11/3,162049394567/75543300000;-11112996088531
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;5093/1680,5/3,877/1120;-169
119;2,3,13;317/140,4,877/1120;-19
120;0,1,6;5/3,2,1;-1
121;1,4,6;22909185923/4721456250,5/3,162049394567/75543300000;-84557871088531
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;6773/1680,13/6,1157/1120;-169
130;6;1;-1
132;1,4,6;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;58777506617/12590550000,11/3,162049394567/75543300000;-68819683588531
144;1,4,8;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
146;8;1;-1
149;1,3,9;1289/1680,10/3,1437/1120;-1289
150;0,1,11;2/3,3,1;-2
151;1,4,11;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;58777506617/12590550000,11/3,162049394567/75543300000;-68819683588531
156;1,4,11;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
158;11;1;-1
161;1,3,12;1289/1680,10/3,1437/1120;-1289
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;71921201447/15108660000,8/3,162049394567/75543300000;-74065746088531
169;14;1;-1
171;1,4,14;22909185923/4721456250,5/3,162049394567/75543300000;-84557871088531
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;6773/1680,13/6,1157/1120;-169
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;416789630845280,151522977196591848225000,258731394590445,1035440
4;1,4,6,3;416789630845280,2349687648996165664620000,4126265889202716,615328
5;5,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
12;1,4,6,3;416789630845280,2349687648996165664620000,4126265889202716,615328
13;5,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
16;5,4,2,3;1196216154551740,1659092708779553968200000,16034688266583840,4509120
19;1,4,8,3;416789630845280,2349687648996165664620000,4126265889202716,615328
22;1,4,8,3;416789630845280,1289747810252684071800000,1196216154551740,1005760
23;7,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
24;1,4,8,3;416789630845280,2349687648996165664620000,4126265889202716,615328
25;7,4,2,3;258731394590445,24994700834626556775000,16034688266583840,656880
28;7,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
31;1,4,11,3;416789630845280,2349687648996165664620000,4126265889202716,615328
34;1,4,11,3;416789630845280,1289747810252684071800000,1196216154551740,1005760
35;10,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
36;1,4,11,3;416789630845280,2349687648996165664620000,4126265889202716,615328
37;10,4,2,3;258731394590445,24994700834626556775000,16034688266583840,656880
40;10,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
44;1,4,14,3;416789630845280,2349687648996165664620000,4126265889202716,615328
48;1,4,14,3;416789630845280,2349687648996165664620000,4126265889202716,615328
50;13,4,2,3;1196216154551740,1659092708779553968200000,16034688266583840,4509120
51;1,4,14,3;416789630845280,151522977196591848225000,258731394590445,1035440
53;13,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
57;13,4,2,3;4126265889202716,1255400513947848571380000,16034688266583840,1164576
61;1,4,6,3;416789630845280,19623870937112529150000,49046330886420,94640
65;1,4,9,3;416789630845280,185392819158182967240000,1641407537058912,828352
71;7,4,2,3;1641407537058912,33747923557593032760000,20976654158845280,300608
73;1,4,12,3;416789630845280,185392819158182967240000,1641407537058912,828352
75;10,4,2,3;1641407537058912,33747923557593032760000,20976654158845280,300608
76;1,4,2,3;416789630845280,7133487718612500000000000,20976654158845280,627200
83;1,4,2,3;416789630845280,7133487718612500000000000,20976654158845280,627200
85;7,4,12,3;49046330886420,3327482450965382010000,1641407537058912,1072176
87;10,4,2,3;1641407537058912,33747923557593032760000,20976654158845280,300608
88;1,4,2,3;416789630845280,7133487718612500000000000,20976654158845280,627200
95;1,4,2,3;416789630845280,7133487718612500000000000,20976654158845280,627200
97;10,4,9,3;49046330886420,3327482450965382010000,1641407537058912,1072176
99;7,4,2,3;1641407537058912,33747923557593032760000,20976654158845280,300608
100;1,4,2,3;416789630845280,7133487718612500000000000,20976654158845280,627200
110;1,4,2,3;416789630845280,7133487718612500000000000,20976654158845280,627200
111;1,4,14,3;416789630845280,19623870937112529150000,49046330886420,94640
113;1,4,9,3;416789630845280,185392819158182967240000,1641407537058912,828352
116;7,4,2,3;1641407537058912,33747923557593032760000,20976654158845280,300608
117;1,4,12,3;416789630845280,185392819158182967240000,1641407537058912,828352
118;10,4,2,3;1641407537058912,33747923557593032760000,20976654158845280,300608
125;1,4,9,3;416789630845280,298282838244110443080000,5039060113115784,75712
131;7,4,2,3;5039060113115784,681241920306330153960000,9090605301564640,488768
133;1,4,12,3;416789630845280,298282838244110443080000,5039060113115784,75712
135;10,4,2,3;5039060113115784,681241920306330153960000,9090605301564640,488768
136;1,4,2,6,3;416789630845280,1783371929653125000000000,4997078282647,37,91700
137;5,2,3;37,37,25900
143;1,4,2,8,3;416789630845280,1783371929653125000000000,4997078282647,37,91700
145;1,4,12,3;416789630845280,298282838244110443080000,5039060113115784,75712
147;10,4,2,3;5039060113115784,681241920306330153960000,9090605301564640,488768
148;1,4,2,8,3;416789630845280,1783371929653125000000000,4997078282647,37,91700
155;1,4,2,11,3;416789630845280,1783371929653125000000000,4997078282647,37,91700
157;1,4,9,3;416789630845280,298282838244110443080000,5039060113115784,75712
159;7,4,2,3;5039060113115784,681241920306330153960000,9090605301564640,488768
160;1,4,2,11,3;416789630845280,1783371929653125000000000,4997078282647,37,91700
170;1,4,2,14,3;416789630845280,1783371929653125000000000,4997078282647,37,91700
173;1,4,9,3;416789630845280,298282838244110443080000,5039060113115784,75712
176;7,4,2,3;5039060113115784,681241920306330153960000,9090605301564640,488768
177;1,4,12,3;416789630845280,298282838244110443080000,5039060113115784,75712
178;10,4,2,3;5039060113115784,681241920306330153960000,9090605301564640,488768
179;13,2,3;37,37,25900
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/9;E/4,1/7/0/1;E/4,6/8/0/9;E/4,3/9/1/9
5:V/3,5/6/0/9;V/2,3/10/0/17;E/4,5/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
12:V/3,1/5/0/1;V/6,3/6/0/9;E/4,1/7/0/1;E/4,6/8/0/9;E/4,3/9/1/9
13:V/3,5/6/0/9;V/2,3/10/0/17;E/4,5/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
16:V/3,5/13/0/6;V/2,3/14/0/17;E/4,5/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
19:V/3,1/0/0/1;V/8,3/6/0/9;E/4,1/2/0/1;E/4,8/8/0/9;E/4,3/4/1/9
22:V/3,1/5/0/1;V/8,3/13/0/6;E/4,1/7/0/1;E/4,8/15/0/6;E/4,3/9/1/6
23:V/3,7/6/0/9;V/2,3/10/0/17;E/4,7/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
24:V/3,1/0/0/1;V/8,3/6/0/9;E/4,1/2/0/1;E/4,8/8/0/9;E/4,3/4/1/9
25:V/3,7/1/0/13;V/2,3/18/0/17;E/4,7/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
28:V/3,7/6/0/9;V/2,3/10/0/17;E/4,7/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
31:V/3,1/0/0/1;V/11,3/6/0/9;E/4,1/2/0/1;E/4,11/8/0/9;E/4,3/4/1/9
34:V/3,1/5/0/1;V/11,3/13/0/6;E/4,1/7/0/1;E/4,11/15/0/6;E/4,3/9/1/6
35:V/3,10/6/0/9;V/2,3/10/0/17;E/4,10/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
36:V/3,1/0/0/1;V/11,3/6/0/9;E/4,1/2/0/1;E/4,11/8/0/9;E/4,3/4/1/9
37:V/3,10/1/0/13;V/2,3/18/0/17;E/4,10/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
40:V/3,10/6/0/9;V/2,3/10/0/17;E/4,10/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
44:V/3,1/5/0/1;V/14,3/6/0/9;E/4,1/7/0/1;E/4,14/8/0/9;E/4,3/9/1/9
48:V/3,1/5/0/1;V/14,3/6/0/9;E/4,1/7/0/1;E/4,14/8/0/9;E/4,3/9/1/9
50:V/3,13/13/0/6;V/2,3/14/0/17;E/4,13/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/9;V/2,3/10/0/17;E/4,13/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
57:V/3,13/6/0/9;V/2,3/10/0/17;E/4,13/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
61:V/3,1/21/0/1;V/6,3/22/0/4;E/4,1/23/0/1;E/4,6/24/0/4;E/4,3/25/1/4
65:V/3,1/26/0/1;V/9,3/27/0/30;E/4,1/28/0/1;E/4,9/29/0/30;E/4,3/30/1/30
71:V/3,7/27/0/30;V/2,3/31/0/46;E/4,7/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
73:V/3,1/26/0/1;V/12,3/27/0/30;E/4,1/28/0/1;E/4,12/29/0/30;E/4,3/30/1/30
75:V/3,10/27/0/30;V/2,3/31/0/46;E/4,10/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
76:V/3,1/34/0/1;V/2,3/35/0/46;E/4,1/36/0/1;E/4,2/37/0/46;E/4,3/38/1/46
83:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
85:V/3,7/22/0/4;V/12,3/41/0/30;E/4,7/24/0/4;E/4,12/42/0/30;E/4,3/43/4/30
87:V/3,10/41/0/30;V/2,3/44/0/46;E/4,10/42/0/30;E/4,2/45/0/46;E/4,3/46/30/46
88:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
95:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
97:V/3,10/22/0/4;V/9,3/41/0/30;E/4,10/24/0/4;E/4,9/42/0/30;E/4,3/43/4/30
99:V/3,7/41/0/30;V/2,3/44/0/46;E/4,7/42/0/30;E/4,2/45/0/46;E/4,3/46/30/46
100:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
110:V/3,1/34/0/1;V/2,3/35/0/46;E/4,1/36/0/1;E/4,2/37/0/46;E/4,3/38/1/46
111:V/3,1/21/0/1;V/14,3/22/0/4;E/4,1/23/0/1;E/4,14/24/0/4;E/4,3/25/1/4
113:V/3,1/26/0/1;V/9,3/27/0/30;E/4,1/28/0/1;E/4,9/29/0/30;E/4,3/30/1/30
116:V/3,7/27/0/30;V/2,3/31/0/46;E/4,7/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
117:V/3,1/26/0/1;V/12,3/27/0/30;E/4,1/28/0/1;E/4,12/29/0/30;E/4,3/30/1/30
118:V/3,10/27/0/30;V/2,3/31/0/46;E/4,10/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
125:V/3,1/47/0/1;V/9,3/48/0/5;E/4,1/49/0/1;E/4,9/50/0/5;E/4,3/51/1/5
131:V/3,7/48/0/5;V/2,3/52/0/32;E/4,7/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
133:V/3,1/47/0/1;V/12,3/48/0/5;E/4,1/49/0/1;E/4,12/50/0/5;E/4,3/51/1/5
135:V/3,10/48/0/5;V/2,3/52/0/32;E/4,10/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
136:V/3,1/55/0/1;V/2,6/56/0/21;V/6,3/57/0/24;E/4,1/58/0/1;E/4,2/59/0/21;E/4,6/60/21/24;E/4,3/61/1/24
137:V/3,5/57/0/24;V/5,2/56/0/21;V/2,3/62/0/32;E/4,5/60/21/24;E/4,2/63/21/32;E/4,3/64/24/32
143:V/3,1/47/0/1;V/2,8/56/0/21;V/8,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/21;E/4,8/60/21/24;E/4,3/51/1/24
145:V/3,1/66/0/1;V/12,3/67/0/5;E/4,1/68/0/1;E/4,12/69/0/5;E/4,3/70/1/5
147:V/3,10/67/0/5;V/2,3/71/0/32;E/4,10/69/0/5;E/4,2/72/0/32;E/4,3/73/5/32
148:V/3,1/47/0/1;V/2,8/56/0/21;V/8,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/21;E/4,8/60/21/24;E/4,3/51/1/24
155:V/3,1/47/0/1;V/2,11/56/0/21;V/11,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/21;E/4,11/60/21/24;E/4,3/51/1/24
157:V/3,1/66/0/1;V/9,3/67/0/5;E/4,1/68/0/1;E/4,9/69/0/5;E/4,3/70/1/5
159:V/3,7/67/0/5;V/2,3/71/0/32;E/4,7/69/0/5;E/4,2/72/0/32;E/4,3/73/5/32
160:V/3,1/47/0/1;V/2,11/56/0/21;V/11,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/21;E/4,11/60/21/24;E/4,3/51/1/24
170:V/3,1/55/0/1;V/2,14/56/0/21;V/14,3/57/0/24;E/4,1/58/0/1;E/4,2/59/0/21;E/4,14/60/21/24;E/4,3/61/1/24
173:V/3,1/47/0/1;V/9,3/48/0/5;E/4,1/49/0/1;E/4,9/50/0/5;E/4,3/51/1/5
176:V/3,7/48/0/5;V/2,3/52/0/32;E/4,7/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
177:V/3,1/47/0/1;V/12,3/48/0/5;E/4,1/49/0/1;E/4,12/50/0/5;E/4,3/51/1/5
178:V/3,10/48/0/5;V/2,3/52/0/32;E/4,10/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
179:V/3,13/57/0/24;V/13,2/56/0/21;V/2,3/62/0/32;E/4,13/60/21/24;E/4,2/63/21/32;E/4,3/64/24/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;3770907/10000000,37820837/100000000;6,377090,0,201989,597200,597200,84763879;8,37820837,0,20229950,59811857,59811857,47420602
1;C;0,3;36309173/100000000;2,36,0,0,60,60,0;4,3630,0,0,6022,6022,71032
1;L;3,4;36309173/100000000,2272151/6250000;4,3630,0,0,6022,6022,71032;8,36354416,0,0,60294623,60294623,74575742
1;L;4,5;2272151/6250000,2277031/6250000;8,36354416,0,0,60294623,60294623,74575742;10,3643249600,0,0,6035933705,6035933705,617689945950
1;L;5,6;2277031/6250000,18236251/50000000;10,3643249600,0,0,6035933705,6035933705,617689945950;8,36472502,0,0,60392468,60392468,17737952
1;L;6,7;18236251/50000000,36566209/100000000;8,36472502,0,0,60392468,60392468,17737952;8,36566209,0,0,60470000,60470000,0
1;L;7,8;36566209/100000000,576081/1562500;8,36566209,0,0,60470000,60470000,0;8,36869184,0,0,60720000,60720000,0
1;L;8,9;576081/1562500,37029051/100000000;8,36869184,0,0,60720000,60720000,0;10,3702905100,0,0,6085150030,6085150030,224781998200
1;L;9,10;37029051/100000000,37173409/100000000;10,3702905100,0,0,6085150030,6085150030,224781998200;8,37173409,0,0,60970000,60970000,0
1;L;10,11;37173409/100000000,9369721/25000000;8,37173409,0,0,60970000,60970000,0;8,37478884,0,0,61220000,61220000,0
1;L;11,12;9369721/25000000,37785609/100000000;8,37478884,0,0,61220000,61220000,0;8,37785609,0,0,61470000,61470000,0
1;L;12,13;37785609/100000000,4727737/12500000;8,37785609,0,0,61470000,61470000,0;10,3782189600,0,0,6149950868,6149950868,642372093152
2;L;0,1;3770907/10000000,37820837/100000000;10,3770907000,0,5972000000,5972000000,2022021708,212376762736;8,37820837,0,59811857,59811857,20229950,47420602
3;C;0,3;36309173/100000000;2,36,0,0,60,60,0;4,3630,0,0,6022,6022,71032
3;L;3,4;36309173/100000000,2272151/6250000;4,3630,0,0,6022,6022,71032;8,36354416,0,0,60294623,60294623,74575742
3;L;4,5;2272151/6250000,2277031/6250000;8,36354416,0,0,60294623,60294623,74575742;10,3643249600,0,0,6035933705,6035933705,617689945950
3;L;5,6;2277031/6250000,18236251/50000000;10,3643249600,0,0,6035933705,6035933705,617689945950;8,36472502,0,0,60392468,60392468,17737952
3;L;6,7;18236251/50000000,36566209/100000000;8,36472502,0,0,60392468,60392468,17737952;8,36566209,0,0,60470000,60470000,0
3;L;7,8;36566209/100000000,576081/1562500;8,36566209,0,0,60470000,60470000,0;8,36869184,0,0,60720000,60720000,0
3;L;8,9;576081/1562500,37029051/100000000;8,36869184,0,0,60720000,60720000,0;10,3702905100,0,0,6085150030,6085150030,224781998200
3;L;9,10;37029051/100000000,37173409/100000000;10,3702905100,0,0,6085150030,6085150030,224781998200;8,37173409,0,0,60970000,60970000,0
3;L;10,11;37173409/100000000,9369721/25000000;8,37173409,0,0,60970000,60970000,0;8,37478884,0,0,61220000,61220000,0
3;L;11,12;9369721/25000000,37785609/100000000;8,37478884,0,0,61220000,61220000,0;8,37785609,0,0,61470000,61470000,0
3;L;12,13;37785609/100000000,4727737/12500000;8,37785609,0,0,61470000,61470000,0;10,3782189600,0,0,6149950868,6149950868,642372093152
4;L;1,2;37820837/100000000,36881999/100000000;8,37820837,59811857,59811857,0,20229950,47420602;8,36881999,59970000,59970000,0,13549831,79871439
4;L;2,3;36881999/100000000,36309173/100000000;8,36881999,59970000,59970000,0,13549831,79871439;8,36309173,60220000,60220000,0,2989592,139673536
4;L;3,4;36309173/100000000,2272151/6250000;8,36309173,60220000,60220000,0,2989592,139673536;8,36354416,60294623,60294623,0,0,74575742
4;L;4,5;2272151/6250000,2277031/6250000;8,36354416,60294623,60294623,0,0,74575742;10,3643249600,6035933705,6035933705,0,0,617689945950
4;L;5,6;2277031/6250000,18236251/50000000;10,3643249600,6035933705,6035933705,0,0,617689945950;8,36472502,60392468,60392468,0,0,17737952
4;L;6,7;18236251/50000000,36566209/100000000;8,36472502,60392468,60392468,0,0,17737952;8,36566209,60470000,60470000,0,0,0
4;L;7,8;36566209/100000000,576081/1562500;8,36566209,60470000,60470000,0,0,0;8,36869184,60720000,60720000,0,0,0
4;L;8,9;576081/1562500,37029051/100000000;8,36869184,60720000,60720000,0,0,0;10,3702905100,6085150030,6085150030,0,0,224781998200
4;L;9,10;37029051/100000000,37173409/100000000;10,3702905100,6085150030,6085150030,0,0,224781998200;8,37173409,60970000,60970000,0,0,0
4;L;10,11;37173409/100000000,9369721/25000000;8,37173409,60970000,60970000,0,0,0;8,37478884,61220000,61220000,0,0,0
4;L;11,12;9369721/25000000,37785609/100000000;8,37478884,61220000,61220000,0,0,0;8,37785609,61470000,61470000,0,0,0
4;L;12,13;37785609/100000000,4727737/12500000;8,37785609,61470000,61470000,0,0,0;10,3782189600,6149950868,6149950868,0,0,642372093152
5;C;0,1;3770907/10000000;2,37,0,9,60,60,119;2,37,0,9,60,60,119
6;C;0,2;36881999/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
6;C;2,3;36309173/100000000;2,36,0,0,60,60,0;4,3630,0,0,6022,6022,71032
6;L;3,4;36309173/100000000,2272151/6250000;4,3630,0,0,6022,6022,71032;8,36354416,0,0,60294623,60294623,74575742
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6;L;5,6;2277031/6250000,18236251/50000000;10,3643249600,0,0,6035933705,6035933705,617689945950;8,36472502,0,0,60392468,60392468,17737952
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6;L;7,8;36566209/100000000,576081/1562500;8,36566209,0,0,60470000,60470000,0;8,36869184,0,0,60720000,60720000,0
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7;C;0,1;3770907/10000000;2,37,0,60,60,9,119;2,37,0,60,60,9,119
8;C;0,2;36881999/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
8;C;2,3;36309173/100000000;2,36,0,0,60,60,0;4,3630,0,0,6022,6022,71032
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9;C;1,3;36309173/100000000;4,3630,5982,5982,0,844,319016;4,3630,6022,6022,0,0,71032
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10;C;0,17;366597/1250000;2,29,0,0,16,60,1944;2,29,0,0,16,63,1575
11;C;0,17;366597/1250000;2,29,0,0,60,20,1800;2,29,0,0,63,16,1575
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12;C;13,17;366597/1250000;2,29,62,0,0,41,275;2,29,63,0,0,16,1575
13;C;0,3;36309173/100000000;2,36,0,0,60,60,0;4,3630,0,0,6022,6022,71032
13;L;3,4;36309173/100000000,2272151/6250000;4,3630,0,0,6022,6022,71032;8,36354416,0,0,60294623,60294623,74575742
13;L;4,5;2272151/6250000,2277031/6250000;8,36354416,0,0,60294623,60294623,74575742;10,3643249600,0,0,6035933705,6035933705,617689945950
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14;C;0,17;366597/1250000;2,29,0,0,0,60,2200;2,29,0,0,0,63,1831
15;C;0,3;36309173/100000000;2,36,0,0,60,60,0;4,3630,0,0,6022,6022,71032
15;L;3,4;36309173/100000000,2272151/6250000;4,3630,0,0,6022,6022,71032;8,36354416,0,0,60294623,60294623,74575742
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16;C;0,17;366597/1250000;2,29,0,0,60,0,2200;2,29,0,0,63,0,1831
17;C;6,11;18236251/50000000;8,36472502,60392468,0,0,60392468,17737952;2,36,62,0,0,30,2456
17;C;11,17;366597/1250000;2,29,62,0,0,30,1056;2,29,63,0,0,0,1831
18;C;0,17;366597/1250000;2,29,0,0,40,60,600;2,29,0,0,42,63,67
19;C;0,17;366597/1250000;2,29,0,0,60,44,264;2,29,0,0,63,42,67
20;L;13,14;4727737/12500000,8643569/25000000;10,3782189600,6149950868,0,0,6149950868,642372093152;8,34574276,61720000,0,0,55726984,54263744
20;L;14,15;8643569/25000000,7823927/25000000;8,34574276,61720000,0,0,55726984,54263744;8,31295708,61970000,0,0,49181914,35296604
20;L;15,16;7823927/25000000,5896639/20000000;8,31295708,61970000,0,0,49181914,35296604;4,2948,6222,0,0,4264,2065020
20;C;16,17;366597/1250000;4,2932,6222,0,0,4264,1745020;2,29,63,0,0,42,67
21;C;0,1;3770907/10000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
22;C;0,2;36881999/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
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22;L;3,4;36309173/100000000,2272151/6250000;4,3630,0,0,6022,6022,71032;8,36354416,0,0,60294623,60294623,74575742
23;C;0,1;3770907/10000000;2,37,0,0,60,60,200;2,37,0,0,60,60,200
24;C;0,2;36881999/100000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
24;C;2,3;36309173/100000000;2,36,0,0,60,60,0;4,3630,0,0,6022,6022,71032
24;L;3,4;36309173/100000000,2272151/6250000;4,3630,0,0,6022,6022,71032;8,36354416,0,0,60294623,60294623,74575742
25;C;1,2;36881999/100000000;2,36,60,60,0,0,0;2,36,60,60,0,0,0
25;C;2,3;36309173/100000000;2,36,60,60,0,0,0;4,3630,6022,6022,0,0,71032
25;L;3,4;36309173/100000000,2272151/6250000;4,3630,6022,6022,0,0,71032;8,36354416,60294623,60294623,0,0,74575742
26;C;0,1;3770907/10000000;2,37,0,0,52,60,1096;2,37,0,0,52,60,1096
27;C;0,30;954297/4000000;2,23,0,0,5,60,975;2,23,0,0,6,65,339
28;C;0,1;3770907/10000000;2,37,0,0,60,53,991;2,37,0,0,60,52,1096
29;C;0,30;954297/4000000;2,23,0,0,5,60,975;2,23,0,0,6,65,339
30;C;1,12;36309173/100000000;2,36,60,0,0,52,896;2,36,62,0,0,37,1987
30;C;12,23;26293857/100000000;4,2629,6147,0,0,3677,1274062;2,26,64,0,0,19,743
30;C;23,28;24463217/100000000;2,24,64,0,0,19,343;2,24,65,0,0,10,475
30;C;28,34;10715807/50000000;4,2143,6447,0,0,923,444262;8,21431614,65470000,0,0,42216,117809344
30;L;34,35;10715807/50000000,2699449/12500000;8,21431614,65470000,0,0,42216,117809344;8,21595592,65720000,0,0,0,0
30;L;35,36;2699449/12500000,4352041/20000000;8,21595592,65720000,0,0,0,0;8,21760205,65970000,0,0,0,100000000
30;L;36,37;4352041/20000000,10962721/50000000;8,21760205,65970000,0,0,0,100000000;8,21925442,66220000,0,0,0,0
30;L;37,38;10962721/50000000,4418261/20000000;8,21925442,66220000,0,0,0,0;8,22091305,66470000,0,0,0,100000000
30;L;38,39;4418261/20000000,173889/781250;8,22091305,66470000,0,0,0,100000000;8,22257792,66720000,0,0,0,0
30;L;39,40;173889/781250,4484981/20000000;8,22257792,66720000,0,0,0,0;8,22424905,66970000,0,0,0,100000000
30;L;40,41;4484981/20000000,11296321/50000000;8,22424905,66970000,0,0,0,100000000;8,22592642,67220000,0,0,0,0
30;L;41,42;11296321/50000000,4552201/20000000;8,22592642,67220000,0,0,0,0;8,22761005,67470000,0,0,0,100000000
30;L;42,43;4552201/20000000,2866249/12500000;8,22761005,67470000,0,0,0,100000000;8,22929992,67720000,0,0,0,0
30;L;43,44;2866249/12500000,4619921/20000000;8,22929992,67720000,0,0,0,0;8,23099605,67970000,0,0,0,100000000
30;L;44,45;4619921/20000000,11634921/50000000;8,23099605,67970000,0,0,0,100000000;8,23269842,68220000,0,0,0,0
30;L;45,46;11634921/50000000,5844827/25000000;8,23269842,68220000,0,0,0,0;8,23379308,68380271,0,0,0,137966559
31;C;0,46;10715807/50000000;2,21,0,0,5,32,3151;2,21,0,0,6,37,2795
32;C;0,46;10715807/50000000;2,21,0,0,5,44,2239;2,21,0,0,6,37,2795
33;C;30,46;10715807/50000000;4,2143,516,0,0,6492,447680;2,21,6,0,0,37,2795
34;C;0,1;3770907/10000000;2,37,0,0,40,60,2200;2,37,0,0,40,60,2200
35;C;0,23;26293857/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
35;C;23,34;10715807/50000000;2,21,0,0,0,64,104;8,21431614,0,0,0,65470000,1900000000
35;L;34,35;10715807/50000000,2699449/12500000;8,21431614,0,0,0,65470000,1900000000;8,21595592,0,0,0,65720000,0
35;L;35,36;2699449/12500000,4352041/20000000;8,21595592,0,0,0,65720000,0;8,21760205,0,0,0,65970000,100000000
35;L;36,37;4352041/20000000,10962721/50000000;8,21760205,0,0,0,65970000,100000000;8,21925442,0,0,0,66220000,0
35;L;37,38;10962721/50000000,4418261/20000000;8,21925442,0,0,0,66220000,0;8,22091305,0,0,0,66470000,100000000
35;L;38,39;4418261/20000000,173889/781250;8,22091305,0,0,0,66470000,100000000;8,22257792,0,0,0,66720000,0
35;L;39,40;173889/781250,4484981/20000000;8,22257792,0,0,0,66720000,0;8,22424905,0,0,0,66970000,100000000
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35;L;43,44;2866249/12500000,4619921/20000000;8,22929992,0,0,0,67720000,0;8,23099605,0,0,0,67970000,100000000
35;L;44,45;4619921/20000000,11634921/50000000;8,23099605,0,0,0,67970000,100000000;8,23269842,0,0,0,68220000,0
35;L;45,46;11634921/50000000,5844827/25000000;8,23269842,0,0,0,68220000,0;8,23379308,0,0,0,68380271,137966559
36;C;0,1;3770907/10000000;2,37,0,0,60,41,2119;2,37,0,0,60,40,2200
37;C;0,23;26293857/100000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
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37;L;37,38;10962721/50000000,4418261/20000000;8,21925442,0,0,66220000,0,0;8,22091305,0,0,66470000,0,100000000
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37;L;41,42;11296321/50000000,4552201/20000000;8,22592642,0,0,67220000,0,0;8,22761005,0,0,67470000,0,100000000
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37;L;45,46;11634921/50000000,5844827/25000000;8,23269842,0,0,68220000,0,0;8,23379308,0,0,68380271,0,137966559
38;C;1,23;26293857/100000000;2,26,60,0,0,40,0;2,26,64,0,0,2,1100
38;C;23,34;10715807/50000000;2,21,64,0,0,2,100;8,21431614,65470000,0,0,0,1900000000
38;L;34,35;10715807/50000000,2699449/12500000;8,21431614,65470000,0,0,0,1900000000;8,21595592,65720000,0,0,0,0
38;L;35,36;2699449/12500000,4352041/20000000;8,21595592,65720000,0,0,0,0;8,21760205,65970000,0,0,0,100000000
38;L;36,37;4352041/20000000,10962721/50000000;8,21760205,65970000,0,0,0,100000000;8,21925442,66220000,0,0,0,0
38;L;37,38;10962721/50000000,4418261/20000000;8,21925442,66220000,0,0,0,0;8,22091305,66470000,0,0,0,100000000
38;L;38,39;4418261/20000000,173889/781250;8,22091305,66470000,0,0,0,100000000;8,22257792,66720000,0,0,0,0
38;L;39,40;173889/781250,4484981/20000000;8,22257792,66720000,0,0,0,0;8,22424905,66970000,0,0,0,100000000
38;L;40,41;4484981/20000000,11296321/50000000;8,22424905,66970000,0,0,0,100000000;8,22592642,67220000,0,0,0,0
38;L;41,42;11296321/50000000,4552201/20000000;8,22592642,67220000,0,0,0,0;8,22761005,67470000,0,0,0,100000000
38;L;42,43;4552201/20000000,2866249/12500000;8,22761005,67470000,0,0,0,100000000;8,22929992,67720000,0,0,0,0
38;L;43,44;2866249/12500000,4619921/20000000;8,22929992,67720000,0,0,0,0;8,23099605,67970000,0,0,0,100000000
38;L;44,45;4619921/20000000,11634921/50000000;8,23099605,67970000,0,0,0,100000000;8,23269842,68220000,0,0,0,0
38;L;45,46;11634921/50000000,5844827/25000000;8,23269842,68220000,0,0,0,0;8,23379308,68380271,0,0,0,137966559
39;C;0,23;26293857/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
39;C;23,34;10715807/50000000;2,21,0,0,0,64,104;8,21431614,0,0,0,65470000,1900000000
39;L;34,35;10715807/50000000,2699449/12500000;8,21431614,0,0,0,65470000,1900000000;8,21595592,0,0,0,65720000,0
39;L;35,36;2699449/12500000,4352041/20000000;8,21595592,0,0,0,65720000,0;8,21760205,0,0,0,65970000,100000000
39;L;36,37;4352041/20000000,10962721/50000000;8,21760205,0,0,0,65970000,100000000;8,21925442,0,0,0,66220000,0
39;L;37,38;10962721/50000000,4418261/20000000;8,21925442,0,0,0,66220000,0;8,22091305,0,0,0,66470000,100000000
39;L;38,39;4418261/20000000,173889/781250;8,22091305,0,0,0,66470000,100000000;8,22257792,0,0,0,66720000,0
39;L;39,40;173889/781250,4484981/20000000;8,22257792,0,0,0,66720000,0;8,22424905,0,0,0,66970000,100000000
39;L;40,41;4484981/20000000,11296321/50000000;8,22424905,0,0,0,66970000,100000000;8,22592642,0,0,0,67220000,0
39;L;41,42;11296321/50000000,4552201/20000000;8,22592642,0,0,0,67220000,0;8,22761005,0,0,0,67470000,100000000
39;L;42,43;4552201/20000000,2866249/12500000;8,22761005,0,0,0,67470000,100000000;8,22929992,0,0,0,67720000,0
39;L;43,44;2866249/12500000,4619921/20000000;8,22929992,0,0,0,67720000,0;8,23099605,0,0,0,67970000,100000000
39;L;44,45;4619921/20000000,11634921/50000000;8,23099605,0,0,0,67970000,100000000;8,23269842,0,0,0,68220000,0
39;L;45,46;11634921/50000000,5844827/25000000;8,23269842,0,0,0,68220000,0;8,23379308,0,0,0,68380271,137966559
40;C;0,23;26293857/100000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
40;C;23,34;10715807/50000000;2,21,0,0,64,0,104;8,21431614,0,0,65470000,0,1900000000
40;L;34,35;10715807/50000000,2699449/12500000;8,21431614,0,0,65470000,0,1900000000;8,21595592,0,0,65720000,0,0
40;L;35,36;2699449/12500000,4352041/20000000;8,21595592,0,0,65720000,0,0;8,21760205,0,0,65970000,0,100000000
40;L;36,37;4352041/20000000,10962721/50000000;8,21760205,0,0,65970000,0,100000000;8,21925442,0,0,66220000,0,0
40;L;37,38;10962721/50000000,4418261/20000000;8,21925442,0,0,66220000,0,0;8,22091305,0,0,66470000,0,100000000
40;L;38,39;4418261/20000000,173889/781250;8,22091305,0,0,66470000,0,100000000;8,22257792,0,0,66720000,0,0
40;L;39,40;173889/781250,4484981/20000000;8,22257792,0,0,66720000,0,0;8,22424905,0,0,66970000,0,100000000
40;L;40,41;4484981/20000000,11296321/50000000;8,22424905,0,0,66970000,0,100000000;8,22592642,0,0,67220000,0,0
40;L;41,42;11296321/50000000,4552201/20000000;8,22592642,0,0,67220000,0,0;8,22761005,0,0,67470000,0,100000000
40;L;42,43;4552201/20000000,2866249/12500000;8,22761005,0,0,67470000,0,100000000;8,22929992,0,0,67720000,0,0
40;L;43,44;2866249/12500000,4619921/20000000;8,22929992,0,0,67720000,0,0;8,23099605,0,0,67970000,0,100000000
40;L;44,45;4619921/20000000,11634921/50000000;8,23099605,0,0,67970000,0,100000000;8,23269842,0,0,68220000,0,0
40;L;45,46;11634921/50000000,5844827/25000000;8,23269842,0,0,68220000,0,0;8,23379308,0,0,68380271,0,137966559
41;C;0,30;954297/4000000;2,23,0,0,22,60,516;10,2385742500,0,0,2361838469,6491268609,892162941158
42;C;0,30;954297/4000000;2,23,0,0,19,60,639;10,2385742500,0,0,2361838469,6491268609,892162941158
43;C;4,10;2272151/6250000;8,36354416,60294623,0,0,60294623,74575742;2,36,61,0,0,55,454
43;C;10,13;37173409/100000000;2,37,61,0,0,55,654;2,37,62,0,0,51,955
43;C;13,14;8643569/25000000;2,34,62,0,0,51,355;2,34,62,0,0,49,555
43;C;14,15;7823927/25000000;4,3129,6172,0,0,4898,496012;2,31,62,0,0,47,147
43;L;15,16;7823927/25000000,5896639/20000000;2,31,62,0,0,47,147;10,2948319500,6222000000,0,0,4500345089,79913582079
43;L;16,17;5896639/20000000,366597/1250000;10,2948319500,6222000000,0,0,4500345089,79913582079;10,2932776000,6227295976,0,0,4458284936,256729683328
43;L;17,18;366597/1250000,5753047/20000000;10,2932776000,6227295976,0,0,4458284936,256729683328;8,28765235,62470000,0,0,43017974,12935324
43;L;18,19;5753047/20000000,28087321/100000000;8,28765235,62470000,0,0,43017974,12935324;10,2808732100,6272000000,0,0,4103249669,153851390439
43;L;19,20;28087321/100000000,13724727/50000000;10,2808732100,6272000000,0,0,4103249669,153851390439;8,27449454,62970000,0,0,39047020,129119600
43;L;20,21;13724727/50000000,13618559/50000000;8,27449454,62970000,0,0,39047020,129119600;8,27237118,63056897,0,0,38356893,100117942
43;L;21,22;13618559/50000000,1678227/6250000;8,27237118,63056897,0,0,38356893,100117942;8,26851632,63220000,0,0,37061543,30459151
43;L;22,23;1678227/6250000,26293857/100000000;8,26851632,63220000,0,0,37061543,30459151;8,26293857,63470000,0,0,35076066,93963644
43;L;23,24;26293857/100000000,5176453/20000000;8,26293857,63470000,0,0,35076066,93963644;10,2588226500,6366713635,0,0,3351042662,567361040531
43;L;24,25;5176453/20000000,100688/390625;10,2588226500,6366713635,0,0,3351042662,567361040531;8,25776128,63720000,0,0,33090589,119633079
43;L;25,26;100688/390625,5059689/20000000;8,25776128,63720000,0,0,33090589,119633079;8,25298445,63970000,0,0,31105112,107467456
43;L;26,27;5059689/20000000,3107601/12500000;8,25298445,63970000,0,0,31105112,107467456;8,24860808,64220000,0,0,29119635,57466775
43;L;27,28;3107601/12500000,24463217/100000000;8,24860808,64220000,0,0,29119635,57466775;10,2446321700,6447000000,0,0,2713415701,233566678599
43;L;28,29;24463217/100000000,24105673/100000000;10,2446321700,6447000000,0,0,2713415701,233566678599;8,24105673,64720000,0,0,25148680,94257600
43;L;29,30;24105673/100000000,954297/4000000;8,24105673,64720000,0,0,25148680,94257600;10,2385742500,6491268609,0,0,2361838469,892162941158
44;C;0,46;10715807/50000000;2,21,0,0,25,32,2551;2,21,0,0,29,37,1990
45;C;0,46;10715807/50000000;2,21,0,0,20,44,1864;2,21,0,0,29,37,1990
46;L;30,31;954297/4000000,23569129/100000000;10,2385742500,2361838469,0,0,6491268609,892162941158;8,23569129,23693887,0,0,64439316,72283375
46;L;31,32;23569129/100000000,11363697/50000000;8,23569129,23693887,0,0,64439316,72283375;10,2272739400,2391787070,0,0,6303502388,256259112556
46;L;32,33;11363697/50000000,22338469/100000000;10,2272739400,2391787070,0,0,6303502388,256259112556;10,2233846900,2402322351,0,0,6237450221,62432883958
46;L;33,34;22338469/100000000,10715807/50000000;10,2233846900,2402322351,0,0,6237450221,62432883958;4,2143,2436,0,0,6031,552943
46;C;34,38;10715807/50000000;4,2143,2436,0,0,6031,552943;2,21,26,0,0,53,715
46;C;38,46;4418261/20000000;2,22,26,0,0,53,915;2,22,29,0,0,37,2190
47;C;0,1;3770907/10000000;2,37,0,0,9,60,3719;2,37,0,0,9,60,3719
48;C;0,5;36309173/100000000;2,36,0,0,4,60,3584;2,36,0,0,4,61,3463
49;C;0,1;3770907/10000000;2,37,0,0,60,9,3719;2,37,0,0,60,9,3719
50;C;0,5;36309173/100000000;2,36,0,0,4,60,3584;2,36,0,0,4,61,3463
51;C;1,24;5176453/20000000;2,25,60,0,0,9,1319;2,25,64,0,0,0,904
52;C;0,32;11363697/50000000;2,22,0,0,4,25,3759;2,22,0,0,5,27,3646
53;C;0,32;11363697/50000000;2,22,0,0,4,32,3360;2,22,0,0,5,27,3646
54;C;5,32;11363697/50000000;2,22,4,0,0,61,663;2,22,5,0,0,27,3646
55;C;0,1;3770907/10000000;2,37,0,0,0,60,3800;2,37,0,0,0,60,3800
56;C;0,21;13618559/50000000;2,27,0,0,0,60,1800;2,27,0,0,0,64,1304
57;C;0,24;5176453/20000000;2,25,0,0,0,60,1400;2,25,0,0,0,64,904
58;C;0,1;3770907/10000000;2,37,0,0,60,0,3800;2,37,0,0,60,0,3800
59;C;0,21;13618559/50000000;2,27,0,0,60,0,1800;2,27,0,0,64,0,1304
60;C;21,24;5176453/20000000;2,25,0,0,0,64,904;2,25,0,0,0,64,904
61;C;1,24;5176453/20000000;2,25,60,0,0,0,1400;2,25,64,0,0,0,904
62;C;0,32;11363697/50000000;2,22,0,0,0,51,1799;2,22,0,0,0,56,1264
63;C;21,32;11363697/50000000;2,22,0,0,0,64,304;2,22,0,0,0,56,1264
64;C;24,32;11363697/50000000;2,22,0,0,0,64,304;2,22,0,0,0,56,1264
65;C;0,21;13618559/50000000;2,27,0,0,60,0,1800;2,27,0,0,64,0,1304
66;C;0,1;3770907/10000000;2,37,0,0,21,60,3359;2,37,0,0,21,60,3359
67;C;0,5;36309173/100000000;2,36,0,0,17,60,3311;2,36,0,0,17,61,3190
68;C;0,1;3770907/10000000;2,37,0,0,60,21,3359;2,37,0,0,60,21,3359
69;C;0,5;36309173/100000000;2,36,0,0,16,60,3344;2,36,0,0,17,61,3190
70;C;1,5;36309173/100000000;2,36,60,0,0,21,3159;2,36,61,0,0,17,3190
71;C;0,32;11363697/50000000;2,22,0,0,20,25,3375;2,22,0,0,21,27,3230
72;C;0,32;11363697/50000000;2,22,0,0,16,32,3120;2,22,0,0,21,27,3230
73;C;5,32;11363697/50000000;2,22,17,0,0,61,390;2,22,21,0,0,27,3230
MASS SLACK NUMERATOR 16994489239652182068413680333055938518903497987213979881764095876656527358200115684325902756713773027330723815391313442556562079
BIN 25: PATH1; (1437/1120,9/7]; gamma0=747/1250; mass ceiling=99639027/100000000.
GAMMA 0=747/1250;1=97127100000/162302519567;2=6001/10000;3=3013/5000;4=93529800000/155107919567;5=94728900000/156937746167;6=77341950000/128014854617;7=6051/10000;8=1519/2500;9=66550050000/109312491917;10=6101/10000;11=3063/5000;12=6151/10000;13=55758150000/90610129217;14=386/625;15=6201/10000;16=3113/5000;17=46764900000/75024826967;18=6251/10000;19=1569/2500;20=37771650000/60027464521;21=6301/10000;22=3163/5000;23=6351/10000;24=82737900000/130113879167;25=797/1250;26=6401/10000;27=3213/5000;28=6451/10000;29=1619/2500;30=69547800000/107143919567;31=6501/10000;32=39120637500/60027464521;33=3263/5000;34=6551/10000;35=411/625;36=6601/10000;37=3313/5000;38=6651/10000;39=1669/2500;40=6701/10000;41=3363/5000;42=6751/10000;43=847/1250;44=6801/10000;45=3413/5000;46=59355450000/86759219567;47=6851/10000;48=1719/2500;49=6901/10000;50=3463/5000;51=6951/10000;52=436/625;53=7001/10000;54=3513/5000;55=7051/10000;56=1769/2500;57=7101/10000;58=3563/5000;59=7151/10000;60=897/1250;61=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37705735,37806975;1,2,37806975,36855663;2,3,36855663,36344388;3,4,36344388,36364302;4,5,36364302,36434278;5,6,36434278,36501399;6,7,36501399,36614601;7,8,36614601,36917776;8,9,36917776,37064418;9,10,37064418,37222201;10,11,37222201,37527876;11,12,37527876,37834801;12,13,37834801,37867202;13,14,37867202,34585593;14,15,34585593,31320967;15,16,31320967,29356196;16,17,29356196,29144550;17,18,29144550,28641382;18,19,28641382,27966958;19,20,27966958,27546607;20,21,27546607,27332923;21,22,27332923,26739278;22,23,26739278,26186022;23,24,26186022,26019934;24,25,26019934,25673155;25,26,25673155,25200678;26,27,25200678,24768590;27,28,24768590,24376891;28,29,24376891,24025582;29,30,24025582,23833403;30,31,23833403,23332458;31,32,23332458,22534451;32,33,22534451,22102933;33,34,22102933,21457801;34,35,21457801,21621888;35,36,21621888,21786601;36,37,21786601,21951938;37,38,21951938,22117901;38,39,22117901,22284488;39,40,22284488,22451701;40,41,22451701,22619538;41,42,22619538,22788001;42,43,22788001,22957088;43,44,22957088,23126801;44,45,23126801,23297138;45,46,23297138,23402376;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;140483096417/37771650000,1/3,162302519567/75543300000;-9973734124061
2;6,8;13/3,13/3;-13
3;0,6,9;1/3,5,1;-2
6;6,11;13/3,13/3;-13
7;0,6,12;1/3,5,1;-2
8;6,8;9,9;-9
9;2,3,6;43/21,5/3,13/21;-3
10;6;1;-1
11;2,3,7;37/21,4/3,13/21;-2
14;6;1;-1
15;2,3,10;37/21,4/3,13/21;-2
17;2,3,5;9/7,11/3,13/21;-4
18;1,4,8;104117391167/25181100000,4/3,162302519567/75543300000;-239865152743
20;6,8;10/3,10/3;-10
21;8;1;-1
26;8;1;-1
27;2,3,10;37/21,4/3,13/21;-2
29;1,3,9;16/21,10/3,9/7;-16
30;1,4,11;104117391167/25181100000,4/3,162302519567/75543300000;-239865152743
32;6,11;10/3,10/3;-10
33;11;1;-1
38;11;1;-1
39;2,3,7;37/21,4/3,13/21;-2
41;1,3,12;16/21,10/3,9/7;-16
42;1,4,14;140483096417/37771650000,1/3,162302519567/75543300000;-9973734124061
43;8,14;13/3,13/3;-13
45;11,14;13/3,13/3;-13
46;8,14;9,9;-9
47;14;1;-1
49;14;1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;37/21,4/3,13/21;-2
56;2,3,7;37/21,4/3,13/21;-2
58;2,3,10;37/21,4/3,13/21;-2
59;2,3,13;9/7,11/3,13/21;-4
60;0,1,6;2/3,2,1;-1
62;6,8;13/3,13/3;-13
63;6,11;8,1;-4
64;1,4,6;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
66;6,11;13/3,13/3;-13
67;6,8;8,1;-4
68;6,8;8,8;-8
69;2,3,6;64/21,5/3,11/14;-2
70;6;1;-1
72;1,4,6;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
74;6;1;-1
77;2,3,5;16/7,4,11/14;-1
78;1,4,8;145515119567/25181100000,1/3,162302519567/75543300000;-3907473874687
79;1,4,8;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
80;6,8;10/3,10/3;-10
81;8;1;-1
82;1,4,8;44790719567/12590550000,14/3,162302519567/75543300000;-410098874687
84;1,4,8;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
86;8;1;-1
89;1,3,9;16/21,10/3,9/7;-16
90;1,4,11;145515119567/25181100000,1/3,162302519567/75543300000;-3907473874687
91;1,4,11;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
92;6,11;10/3,10/3;-10
93;11;1;-1
94;1,4,11;44790719567/12590550000,14/3,162302519567/75543300000;-410098874687
96;1,4,11;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
98;11;1;-1
101;1,3,12;16/21,10/3,9/7;-16
102;0,1,14;2/3,2,1;-1
103;8,14;13/3,13/3;-13
104;1,4,14;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
105;11,14;13/3,13/3;-13
106;8,14;8,8;-8
107;14;1;-1
108;1,4,14;51505679567/15108660000,11/3,162302519567/75543300000;-1942202372183
109;14;1;-1
112;11,14;1,8;-4
114;8,14;1,8;-4
115;2,3,14;64/21,5/3,11/14;-2
119;2,3,13;16/7,4,11/14;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;22972467173/4721456250,5/3,162302519567/75543300000;-4727671624061
122;6,8;13/3,13/3;-13
123;0,6,9;7/3,5,1;-2
124;1,4,6;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
126;6,11;13/3,13/3;-13
127;0,6,8;1,8,1;-4
128;6,8;7,7;-7
129;2,3,6;85/21,13/6,29/28;-2
130;6;1;-1
132;1,4,6;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
134;6;1;-1
138;0,1,8;2/3,3,1;-2
139;1,4,8;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
140;6,8;10/3,10/3;-10
141;8;1;-1
142;1,4,8;59030631617/12590550000,11/3,162302519567/75543300000;-1284442624687
144;1,4,8;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
146;8;1;-1
149;1,3,9;16/21,10/3,9/7;-16
150;0,1,11;2/3,3,1;-2
151;1,4,11;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
152;6,11;10/3,10/3;-10
153;11;1;-1
154;1,4,11;59030631617/12590550000,11/3,162302519567/75543300000;-1284442624687
156;1,4,11;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
158;11;1;-1
161;1,3,12;16/21,10/3,9/7;-16
162;0,1,14;5/3,2,1;-1
163;8,14;13/3,13/3;-13
164;1,4,14;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
165;11,14;13/3,13/3;-13
166;8,14;7,7;-7
167;14;1;-1
168;1,4,14;72174326447/15108660000,8/3,162302519567/75543300000;-12434327372183
169;14;1;-1
171;1,4,14;22972467173/4721456250,5/3,162302519567/75543300000;-4727671624061
172;0,9,14;7/3,1,5;-2
174;0,8,14;1,1,8;-4
175;2,3,14;85/21,13/6,29/28;-2
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;131361131573,108866457678643164675000,4694482274769,161
4;1,4,6,3;131361131573,129177874009993595220000,7145278177338,119
5;5,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
12;1,4,6,3;131361131573,129177874009993595220000,7145278177338,119
13;5,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
16;5,4,2,3;816931967523,93439099244978134200000,5629351596519,357
19;1,4,8,3;131361131573,129177874009993595220000,7145278177338,119
22;1,4,8,3;131361131573,70141179778465105800000,816931967523,77
23;7,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
24;1,4,8,3;131361131573,129177874009993595220000,7145278177338,119
25;7,4,2,3;4694482274769,18526959164523050325000,5629351596519,105
28;7,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
31;1,4,11,3;131361131573,129177874009993595220000,7145278177338,119
34;1,4,11,3;131361131573,70141179778465105800000,816931967523,77
35;10,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
36;1,4,11,3;131361131573,129177874009993595220000,7145278177338,119
37;10,4,2,3;4694482274769,18526959164523050325000,5629351596519,105
40;10,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
44;1,4,14,3;131361131573,129177874009993595220000,7145278177338,119
48;1,4,14,3;131361131573,129177874009993595220000,7145278177338,119
50;13,4,2,3;816931967523,93439099244978134200000,5629351596519,357
51;1,4,14,3;131361131573,108866457678643164675000,4694482274769,161
53;13,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
57;13,4,2,3;7145278177338,70885026878605320780000,5629351596519,231
61;1,4,6,3;131361131573,19580478729161329350000,2442146194719,7
65;1,4,9,3;131361131573,174186332285829063480000,48287694584157,161
71;7,4,2,3;48287694584157,32653107164072936520000,14599161863146,119
73;1,4,12,3;131361131573,174186332285829063480000,48287694584157,161
75;10,4,2,3;48287694584157,32653107164072936520000,14599161863146,119
76;1,4,2,3;131361131573,396304873256250000000000,14599161863146,49
83;1,4,2,3;131361131573,396304873256250000000000,14599161863146,49
85;7,4,12,3;2442146194719,59873136653493734130000,48287694584157,105
87;10,4,2,3;48287694584157,32653107164072936520000,14599161863146,119
88;1,4,2,3;131361131573,396304873256250000000000,14599161863146,49
95;1,4,2,3;131361131573,396304873256250000000000,14599161863146,49
97;10,4,9,3;2442146194719,59873136653493734130000,48287694584157,105
99;7,4,2,3;48287694584157,32653107164072936520000,14599161863146,119
100;1,4,2,3;131361131573,396304873256250000000000,14599161863146,49
110;1,4,2,3;131361131573,396304873256250000000000,14599161863146,49
111;1,4,14,3;131361131573,19580478729161329350000,2442146194719,7
113;1,4,9,3;131361131573,174186332285829063480000,48287694584157,161
116;7,4,2,3;48287694584157,32653107164072936520000,14599161863146,119
117;1,4,12,3;131361131573,174186332285829063480000,48287694584157,161
118;10,4,2,3;48287694584157,32653107164072936520000,14599161863146,119
125;1,4,9,3;131361131573,15664382983329063480000,8250400292757,14
131;7,4,2,3;8250400292757,38264754894297908760000,12631984953196,385
133;1,4,12,3;131361131573,15664382983329063480000,8250400292757,14
135;10,4,2,3;8250400292757,38264754894297908760000,12631984953196,385
136;1,4,2,6,3;131361131573,99076218314062500000000,263782944757,1,28
137;5,2,3;1,1,35
143;1,4,2,8,3;131361131573,99076218314062500000000,263782944757,1,28
145;1,4,12,3;131361131573,15664382983329063480000,8250400292757,14
147;10,4,2,3;8250400292757,38264754894297908760000,12631984953196,385
148;1,4,2,8,3;131361131573,99076218314062500000000,263782944757,1,28
155;1,4,2,11,3;131361131573,99076218314062500000000,263782944757,1,28
157;1,4,9,3;131361131573,15664382983329063480000,8250400292757,14
159;7,4,2,3;8250400292757,38264754894297908760000,12631984953196,385
160;1,4,2,11,3;131361131573,99076218314062500000000,263782944757,1,28
170;1,4,2,14,3;131361131573,99076218314062500000000,263782944757,1,28
173;1,4,9,3;131361131573,15664382983329063480000,8250400292757,14
176;7,4,2,3;8250400292757,38264754894297908760000,12631984953196,385
177;1,4,12,3;131361131573,15664382983329063480000,8250400292757,14
178;10,4,2,3;8250400292757,38264754894297908760000,12631984953196,385
179;13,2,3;1,1,35
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,5
14;16;V;2,3
15;16;E;4,5
16;16;E;4,2
17;16;E;4,3
18;25;V;2,3
19;25;E;4,2
20;25;E;4,3
21;61;V;3,1
22;61;V;6,3
23;61;E;4,1
24;61;E;4,6
25;61;E;4,3
26;65;V;3,1
27;65;V;9,3
28;65;E;4,1
29;65;E;4,9
30;65;E;4,3
31;71;V;2,3
32;71;E;4,2
33;71;E;4,3
34;76;V;3,1
35;76;V;2,3
36;76;E;4,1
37;76;E;4,2
38;76;E;4,3
39;83;V;2,3
40;83;E;4,2
41;85;V;12,3
42;85;E;4,12
43;85;E;4,3
44;87;V;2,3
45;87;E;4,2
46;87;E;4,3
47;125;V;3,1
48;125;V;9,3
49;125;E;4,1
50;125;E;4,9
51;125;E;4,3
52;131;V;2,3
53;131;E;4,2
54;131;E;4,3
55;136;V;3,1
56;136;V;2,6
57;136;V;6,3
58;136;E;4,1
59;136;E;4,2
60;136;E;4,6
61;136;E;4,3
62;137;V;2,3
63;137;E;4,2
64;137;E;4,3
65;143;E;4,2
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/9;E/4,1/7/0/1;E/4,6/8/0/9;E/4,3/9/1/9
5:V/3,5/6/0/9;V/2,3/10/0/17;E/4,5/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
12:V/3,1/5/0/1;V/6,3/6/0/9;E/4,1/7/0/1;E/4,6/8/0/9;E/4,3/9/1/9
13:V/3,5/6/0/9;V/2,3/10/0/17;E/4,5/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
16:V/3,5/13/0/6;V/2,3/14/0/17;E/4,5/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
19:V/3,1/0/0/1;V/8,3/6/0/9;E/4,1/2/0/1;E/4,8/8/0/9;E/4,3/4/1/9
22:V/3,1/5/0/1;V/8,3/13/0/6;E/4,1/7/0/1;E/4,8/15/0/6;E/4,3/9/1/6
23:V/3,7/6/0/9;V/2,3/10/0/17;E/4,7/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
24:V/3,1/0/0/1;V/8,3/6/0/9;E/4,1/2/0/1;E/4,8/8/0/9;E/4,3/4/1/9
25:V/3,7/1/0/13;V/2,3/18/0/17;E/4,7/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
28:V/3,7/6/0/9;V/2,3/10/0/17;E/4,7/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
31:V/3,1/0/0/1;V/11,3/6/0/9;E/4,1/2/0/1;E/4,11/8/0/9;E/4,3/4/1/9
34:V/3,1/5/0/1;V/11,3/13/0/6;E/4,1/7/0/1;E/4,11/15/0/6;E/4,3/9/1/6
35:V/3,10/6/0/9;V/2,3/10/0/17;E/4,10/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
36:V/3,1/0/0/1;V/11,3/6/0/9;E/4,1/2/0/1;E/4,11/8/0/9;E/4,3/4/1/9
37:V/3,10/1/0/13;V/2,3/18/0/17;E/4,10/3/0/13;E/4,2/19/0/17;E/4,3/20/13/17
40:V/3,10/6/0/9;V/2,3/10/0/17;E/4,10/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
44:V/3,1/5/0/1;V/14,3/6/0/9;E/4,1/7/0/1;E/4,14/8/0/9;E/4,3/9/1/9
48:V/3,1/5/0/1;V/14,3/6/0/9;E/4,1/7/0/1;E/4,14/8/0/9;E/4,3/9/1/9
50:V/3,13/13/0/6;V/2,3/14/0/17;E/4,13/15/0/6;E/4,2/16/0/17;E/4,3/17/6/17
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/9;V/2,3/10/0/17;E/4,13/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
57:V/3,13/6/0/9;V/2,3/10/0/17;E/4,13/8/0/9;E/4,2/11/0/17;E/4,3/12/9/17
61:V/3,1/21/0/1;V/6,3/22/0/4;E/4,1/23/0/1;E/4,6/24/0/4;E/4,3/25/1/4
65:V/3,1/26/0/1;V/9,3/27/0/30;E/4,1/28/0/1;E/4,9/29/0/30;E/4,3/30/1/30
71:V/3,7/27/0/30;V/2,3/31/0/46;E/4,7/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
73:V/3,1/26/0/1;V/12,3/27/0/30;E/4,1/28/0/1;E/4,12/29/0/30;E/4,3/30/1/30
75:V/3,10/27/0/30;V/2,3/31/0/46;E/4,10/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
76:V/3,1/34/0/1;V/2,3/35/0/46;E/4,1/36/0/1;E/4,2/37/0/46;E/4,3/38/1/46
83:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
85:V/3,7/22/0/4;V/12,3/41/0/30;E/4,7/24/0/4;E/4,12/42/0/30;E/4,3/43/4/30
87:V/3,10/41/0/30;V/2,3/44/0/46;E/4,10/42/0/30;E/4,2/45/0/46;E/4,3/46/30/46
88:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
95:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
97:V/3,10/22/0/4;V/9,3/41/0/30;E/4,10/24/0/4;E/4,9/42/0/30;E/4,3/43/4/30
99:V/3,7/41/0/30;V/2,3/44/0/46;E/4,7/42/0/30;E/4,2/45/0/46;E/4,3/46/30/46
100:V/3,1/26/0/1;V/2,3/39/0/46;E/4,1/28/0/1;E/4,2/40/0/46;E/4,3/30/1/46
110:V/3,1/34/0/1;V/2,3/35/0/46;E/4,1/36/0/1;E/4,2/37/0/46;E/4,3/38/1/46
111:V/3,1/21/0/1;V/14,3/22/0/4;E/4,1/23/0/1;E/4,14/24/0/4;E/4,3/25/1/4
113:V/3,1/26/0/1;V/9,3/27/0/30;E/4,1/28/0/1;E/4,9/29/0/30;E/4,3/30/1/30
116:V/3,7/27/0/30;V/2,3/31/0/46;E/4,7/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
117:V/3,1/26/0/1;V/12,3/27/0/30;E/4,1/28/0/1;E/4,12/29/0/30;E/4,3/30/1/30
118:V/3,10/27/0/30;V/2,3/31/0/46;E/4,10/29/0/30;E/4,2/32/0/46;E/4,3/33/30/46
125:V/3,1/47/0/1;V/9,3/48/0/5;E/4,1/49/0/1;E/4,9/50/0/5;E/4,3/51/1/5
131:V/3,7/48/0/5;V/2,3/52/0/32;E/4,7/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
133:V/3,1/47/0/1;V/12,3/48/0/5;E/4,1/49/0/1;E/4,12/50/0/5;E/4,3/51/1/5
135:V/3,10/48/0/5;V/2,3/52/0/32;E/4,10/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
136:V/3,1/55/0/1;V/2,6/56/0/20;V/6,3/57/0/24;E/4,1/58/0/1;E/4,2/59/0/20;E/4,6/60/20/24;E/4,3/61/1/24
137:V/3,5/57/0/24;V/5,2/56/0/20;V/2,3/62/0/32;E/4,5/60/20/24;E/4,2/63/20/32;E/4,3/64/24/32
143:V/3,1/47/0/1;V/2,8/56/0/20;V/8,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/20;E/4,8/60/20/24;E/4,3/51/1/24
145:V/3,1/66/0/1;V/12,3/67/0/5;E/4,1/68/0/1;E/4,12/69/0/5;E/4,3/70/1/5
147:V/3,10/67/0/5;V/2,3/71/0/32;E/4,10/69/0/5;E/4,2/72/0/32;E/4,3/73/5/32
148:V/3,1/47/0/1;V/2,8/56/0/20;V/8,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/20;E/4,8/60/20/24;E/4,3/51/1/24
155:V/3,1/47/0/1;V/2,11/56/0/20;V/11,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/20;E/4,11/60/20/24;E/4,3/51/1/24
157:V/3,1/66/0/1;V/9,3/67/0/5;E/4,1/68/0/1;E/4,9/69/0/5;E/4,3/70/1/5
159:V/3,7/67/0/5;V/2,3/71/0/32;E/4,7/69/0/5;E/4,2/72/0/32;E/4,3/73/5/32
160:V/3,1/47/0/1;V/2,11/56/0/20;V/11,3/57/0/24;E/4,1/49/0/1;E/4,2/65/0/20;E/4,11/60/20/24;E/4,3/51/1/24
170:V/3,1/55/0/1;V/2,14/56/0/20;V/14,3/57/0/24;E/4,1/58/0/1;E/4,2/59/0/20;E/4,14/60/20/24;E/4,3/61/1/24
173:V/3,1/47/0/1;V/9,3/48/0/5;E/4,1/49/0/1;E/4,9/50/0/5;E/4,3/51/1/5
176:V/3,7/48/0/5;V/2,3/52/0/32;E/4,7/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
177:V/3,1/47/0/1;V/12,3/48/0/5;E/4,1/49/0/1;E/4,12/50/0/5;E/4,3/51/1/5
178:V/3,10/48/0/5;V/2,3/52/0/32;E/4,10/50/0/5;E/4,2/53/0/32;E/4,3/54/5/32
179:V/3,13/57/0/24;V/13,2/56/0/20;V/2,3/62/0/32;E/4,13/60/20/24;E/4,2/63/20/32;E/4,3/64/24/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;7541147/20000000,1512279/4000000;6,377057,0,199464,597600,597600,76592704;10,3780697500,0,1997413540,5984324844,5984324844,1473193419728
1;C;0,3;9086097/25000000;2,36,0,0,60,60,0;4,3634,0,0,6026,6026,54648
1;L;3,4;9086097/25000000,18182151/50000000;4,3634,0,0,6026,6026,54648;6,363643,0,0,602999,602999,70411998
1;L;4,5;18182151/50000000,18217139/50000000;6,363643,0,0,602999,602999,70411998;10,3643427800,0,0,6036081333,6036081333,282817886222
1;L;5,6;18217139/50000000,36501399/100000000;10,3643427800,0,0,6036081333,6036081333,282817886222;10,3650139900,0,0,6041638702,6041638702,1588991510392
1;L;6,7;36501399/100000000,36614601/100000000;10,3650139900,0,0,6041638702,6041638702,1588991510392;8,36614601,0,0,60510000,60510000,0
1;L;7,8;36614601/100000000,2307361/6250000;8,36614601,0,0,60510000,60510000,0;8,36917776,0,0,60760000,60760000,0
1;L;8,9;2307361/6250000,18532209/50000000;8,36917776,0,0,60760000,60760000,0;10,3706441800,0,0,6088055339,6088055339,378547190158
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37;L;39,40;2785561/12500000,22451701/100000000;8,22284488,0,0,66760000,0,0;8,22451701,0,0,67010000,0,100000000
37;L;40,41;22451701/100000000,11309769/50000000;8,22451701,0,0,67010000,0,100000000;8,22619538,0,0,67260000,0,0
37;L;41,42;11309769/50000000,22788001/100000000;8,22619538,0,0,67260000,0,0;8,22788001,0,0,67510000,0,100000000
37;L;42,43;22788001/100000000,717409/3125000;8,22788001,0,0,67510000,0,100000000;8,22957088,0,0,67760000,0,0
37;L;43,44;717409/3125000,23126801/100000000;8,22957088,0,0,67760000,0,0;8,23126801,0,0,68010000,0,100000000
37;L;44,45;23126801/100000000,11648569/50000000;8,23126801,0,0,68010000,0,100000000;8,23297138,0,0,68260000,0,0
37;L;45,46;11648569/50000000,2925297/12500000;8,23297138,0,0,68260000,0,0;8,23402376,0,0,68413998,0,77655996
38;C;1,23;13093011/50000000;2,26,60,0,0,40,0;2,26,64,0,0,1,1103
38;C;23,34;21457801/100000000;2,21,64,0,0,1,103;8,21457801,65510000,0,0,0,100000000
38;L;34,35;21457801/100000000,168921/781250;8,21457801,65510000,0,0,0,100000000;8,21621888,65760000,0,0,0,0
38;L;35,36;168921/781250,21786601/100000000;8,21621888,65760000,0,0,0,0;8,21786601,66010000,0,0,0,100000000
38;L;36,37;21786601/100000000,10975969/50000000;8,21786601,66010000,0,0,0,100000000;8,21951938,66260000,0,0,0,0
38;L;37,38;10975969/50000000,22117901/100000000;8,21951938,66260000,0,0,0,0;8,22117901,66510000,0,0,0,100000000
38;L;38,39;22117901/100000000,2785561/12500000;8,22117901,66510000,0,0,0,100000000;8,22284488,66760000,0,0,0,0
38;L;39,40;2785561/12500000,22451701/100000000;8,22284488,66760000,0,0,0,0;8,22451701,67010000,0,0,0,100000000
38;L;40,41;22451701/100000000,11309769/50000000;8,22451701,67010000,0,0,0,100000000;8,22619538,67260000,0,0,0,0
38;L;41,42;11309769/50000000,22788001/100000000;8,22619538,67260000,0,0,0,0;8,22788001,67510000,0,0,0,100000000
38;L;42,43;22788001/100000000,717409/3125000;8,22788001,67510000,0,0,0,100000000;8,22957088,67760000,0,0,0,0
38;L;43,44;717409/3125000,23126801/100000000;8,22957088,67760000,0,0,0,0;8,23126801,68010000,0,0,0,100000000
38;L;44,45;23126801/100000000,11648569/50000000;8,23126801,68010000,0,0,0,100000000;8,23297138,68260000,0,0,0,0
38;L;45,46;11648569/50000000,2925297/12500000;8,23297138,68260000,0,0,0,0;8,23402376,68413998,0,0,0,77655996
39;C;0,23;13093011/50000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
39;C;23,34;21457801/100000000;2,21,0,0,0,64,104;8,21457801,0,0,0,65510000,100000000
39;L;34,35;21457801/100000000,168921/781250;8,21457801,0,0,0,65510000,100000000;8,21621888,0,0,0,65760000,0
39;L;35,36;168921/781250,21786601/100000000;8,21621888,0,0,0,65760000,0;8,21786601,0,0,0,66010000,100000000
39;L;36,37;21786601/100000000,10975969/50000000;8,21786601,0,0,0,66010000,100000000;8,21951938,0,0,0,66260000,0
39;L;37,38;10975969/50000000,22117901/100000000;8,21951938,0,0,0,66260000,0;8,22117901,0,0,0,66510000,100000000
39;L;38,39;22117901/100000000,2785561/12500000;8,22117901,0,0,0,66510000,100000000;8,22284488,0,0,0,66760000,0
39;L;39,40;2785561/12500000,22451701/100000000;8,22284488,0,0,0,66760000,0;8,22451701,0,0,0,67010000,100000000
39;L;40,41;22451701/100000000,11309769/50000000;8,22451701,0,0,0,67010000,100000000;8,22619538,0,0,0,67260000,0
39;L;41,42;11309769/50000000,22788001/100000000;8,22619538,0,0,0,67260000,0;8,22788001,0,0,0,67510000,100000000
39;L;42,43;22788001/100000000,717409/3125000;8,22788001,0,0,0,67510000,100000000;8,22957088,0,0,0,67760000,0
39;L;43,44;717409/3125000,23126801/100000000;8,22957088,0,0,0,67760000,0;8,23126801,0,0,0,68010000,100000000
39;L;44,45;23126801/100000000,11648569/50000000;8,23126801,0,0,0,68010000,100000000;8,23297138,0,0,0,68260000,0
39;L;45,46;11648569/50000000,2925297/12500000;8,23297138,0,0,0,68260000,0;8,23402376,0,0,0,68413998,77655996
40;C;0,23;13093011/50000000;2,26,0,0,60,0,1600;2,26,0,0,64,0,1104
40;C;23,34;21457801/100000000;2,21,0,0,64,0,104;8,21457801,0,0,65510000,0,100000000
40;L;34,35;21457801/100000000,168921/781250;8,21457801,0,0,65510000,0,100000000;8,21621888,0,0,65760000,0,0
40;L;35,36;168921/781250,21786601/100000000;8,21621888,0,0,65760000,0,0;8,21786601,0,0,66010000,0,100000000
40;L;36,37;21786601/100000000,10975969/50000000;8,21786601,0,0,66010000,0,100000000;8,21951938,0,0,66260000,0,0
40;L;37,38;10975969/50000000,22117901/100000000;8,21951938,0,0,66260000,0,0;8,22117901,0,0,66510000,0,100000000
40;L;38,39;22117901/100000000,2785561/12500000;8,22117901,0,0,66510000,0,100000000;8,22284488,0,0,66760000,0,0
40;L;39,40;2785561/12500000,22451701/100000000;8,22284488,0,0,66760000,0,0;8,22451701,0,0,67010000,0,100000000
40;L;40,41;22451701/100000000,11309769/50000000;8,22451701,0,0,67010000,0,100000000;8,22619538,0,0,67260000,0,0
40;L;41,42;11309769/50000000,22788001/100000000;8,22619538,0,0,67260000,0,0;8,22788001,0,0,67510000,0,100000000
40;L;42,43;22788001/100000000,717409/3125000;8,22788001,0,0,67510000,0,100000000;8,22957088,0,0,67760000,0,0
40;L;43,44;717409/3125000,23126801/100000000;8,22957088,0,0,67760000,0,0;8,23126801,0,0,68010000,0,100000000
40;L;44,45;23126801/100000000,11648569/50000000;8,23126801,0,0,68010000,0,100000000;8,23297138,0,0,68260000,0,0
40;L;45,46;11648569/50000000,2925297/12500000;8,23297138,0,0,68260000,0,0;8,23402376,0,0,68413998,0,77655996
41;C;0,30;23833403/100000000;2,23,0,0,22,60,516;8,23833403,0,0,23522112,64910637,51313687
42;C;0,30;23833403/100000000;2,23,0,0,19,60,639;8,23833403,0,0,23522112,64910637,51313687
43;C;4,10;18182151/50000000;6,363643,602999,0,0,602999,70411998;2,36,62,0,0,55,331
43;C;10,13;37222201/100000000;2,37,62,0,0,55,531;2,37,62,0,0,51,955
43;C;13,14;34585593/100000000;2,34,62,0,0,51,355;2,34,62,0,0,49,555
43;C;14,15;31320967/100000000;4,3132,6176,0,0,4866,819068;2,31,63,0,0,47,22
43;L;15,16;31320967/100000000,7339049/25000000;2,31,63,0,0,47,22;8,29356196,62260000,0,0,44664656,104401664
43;L;16,17;7339049/25000000,582891/2000000;8,29356196,62260000,0,0,44664656,104401664;10,2914455000,6233256629,0,0,4408583770,939920143459
43;L;17,18;582891/2000000,14320691/50000000;10,2914455000,6233256629,0,0,4408583770,939920143459;8,28641382,62510000,0,0,42670555,35991975
43;L;18,19;14320691/50000000,13983479/50000000;8,28641382,62510000,0,0,42670555,35991975;8,27966958,62760000,0,0,40676455,8632975
43;L;19,20;13983479/50000000,27546607/100000000;8,27966958,62760000,0,0,40676455,8632975;10,2754660700,6292394707,0,0,3936874624,1046223242775
43;L;20,21;27546607/100000000,27332923/100000000;10,2754660700,6292394707,0,0,3936874624,1046223242775;10,2733292300,6301000000,0,0,3868235335,393057437775
43;L;21,22;27332923/100000000,13369639/50000000;10,2733292300,6301000000,0,0,3868235335,393057437775;8,26739278,63260000,0,0,36688253,91807991
43;L;22,23;13369639/50000000,13093011/50000000;8,26739278,63260000,0,0,36688253,91807991;8,26186022,63510000,0,0,34694152,117000896
43;L;23,24;13093011/50000000,13009967/50000000;8,26186022,63510000,0,0,34694152,117000896;10,2601993400,6358883505,0,0,3406533169,338341732414
43;L;24,25;13009967/50000000,5134631/20000000;10,2601993400,6358883505,0,0,3406533169,338341732414;10,2567315500,6376000000,0,0,3270005105,613273938975
43;L;25,26;5134631/20000000,12600339/50000000;10,2567315500,6376000000,0,0,3270005105,613273938975;8,25200678,64010000,0,0,30705951,73185599
43;L;26,27;12600339/50000000,2476859/10000000;8,25200678,64010000,0,0,30705951,73185599;8,24768590,64260000,0,0,28711850,69577500
43;L;27,28;2476859/10000000,24376891/100000000;8,24768590,64260000,0,0,28711850,69577500;10,2437689100,6451000000,0,0,2671774876,11975184624
43;L;28,29;24376891/100000000,12012791/50000000;10,2437689100,6451000000,0,0,2671774876,11975184624;8,24025582,64760000,0,0,24723648,29572096
43;L;29,30;12012791/50000000,23833403/100000000;8,24025582,64760000,0,0,24723648,29572096;8,23833403,64910637,0,0,23522112,51313687
44;C;0,46;21457801/100000000;2,21,0,0,25,32,2551;2,21,0,0,29,36,2063
45;C;0,46;21457801/100000000;2,21,0,0,20,44,1864;2,21,0,0,29,36,2063
46;L;30,31;23833403/100000000,11666229/50000000;8,23833403,23522112,0,0,64910637,51313687;8,23332458,23653724,0,0,64085824,103172848
46;L;31,32;11666229/50000000,22534451/100000000;8,23332458,23653724,0,0,64085824,103172848;10,2253445100,2386728063,0,0,6274745493,151364454982
46;L;32,33;22534451/100000000,22102933/100000000;10,2253445100,2386728063,0,0,6274745493,151364454982;8,22102933,23984860,0,0,62010588,66674656
46;L;33,34;22102933/100000000,21457801/100000000;8,22102933,23984860,0,0,62010588,66674656;4,2145,2432,0,0,5994,1057340
46;C;34,38;21457801/100000000;4,2145,2432,0,0,5994,1057340;2,21,26,0,0,52,820
46;C;38,46;22117901/100000000;2,22,26,0,0,52,1020;2,22,29,0,0,36,2263
47;C;0,1;7541147/20000000;2,37,0,0,8,60,3736;2,37,0,0,8,60,3736
48;C;0,5;9086097/25000000;2,36,0,0,4,60,3584;2,36,0,0,4,61,3463
49;C;0,1;7541147/20000000;2,37,0,0,60,8,3736;2,37,0,0,60,8,3736
50;C;0,5;9086097/25000000;2,36,0,0,4,60,3584;2,36,0,0,4,61,3463
51;C;1,24;13009967/50000000;2,26,60,0,0,8,1536;2,26,64,0,0,0,1104
52;C;0,32;22534451/100000000;2,22,0,0,4,25,3759;2,22,0,0,4,27,3655
53;C;0,32;22534451/100000000;2,22,0,0,4,32,3360;2,22,0,0,4,27,3655
54;C;5,32;22534451/100000000;2,22,4,0,0,61,663;2,22,4,0,0,27,3655
55;C;0,1;7541147/20000000;2,37,0,0,0,60,3800;2,37,0,0,0,60,3800
56;C;0,20;27546607/100000000;2,27,0,0,0,60,1800;2,27,0,0,0,63,1431
57;C;0,24;13009967/50000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
58;C;0,1;7541147/20000000;2,37,0,0,60,0,3800;2,37,0,0,60,0,3800
59;C;0,20;27546607/100000000;2,27,0,0,60,0,1800;2,27,0,0,63,0,1431
60;C;20,24;13009967/50000000;2,26,0,0,0,63,1231;2,26,0,0,0,64,1104
61;C;1,24;13009967/50000000;2,26,60,0,0,0,1600;2,26,64,0,0,0,1104
62;C;0,32;22534451/100000000;2,22,0,0,0,51,1799;2,22,0,0,0,55,1375
63;C;20,32;22534451/100000000;2,22,0,0,0,63,431;2,22,0,0,0,55,1375
64;C;24,32;22534451/100000000;2,22,0,0,0,64,304;2,22,0,0,0,55,1375
65;C;0,20;27546607/100000000;2,27,0,0,60,0,1800;2,27,0,0,63,0,1431
66;C;0,1;7541147/20000000;2,37,0,0,21,60,3359;2,37,0,0,21,60,3359
67;C;0,5;9086097/25000000;2,36,0,0,17,60,3311;2,36,0,0,17,61,3190
68;C;0,1;7541147/20000000;2,37,0,0,60,21,3359;2,37,0,0,60,21,3359
69;C;0,5;9086097/25000000;2,36,0,0,16,60,3344;2,36,0,0,17,61,3190
70;C;1,5;9086097/25000000;2,36,60,0,0,21,3159;2,36,61,0,0,17,3190
71;C;0,32;22534451/100000000;2,22,0,0,20,25,3375;2,22,0,0,21,27,3230
72;C;0,32;22534451/100000000;2,22,0,0,16,32,3120;2,22,0,0,21,27,3230
73;C;5,32;22534451/100000000;2,22,17,0,0,61,390;2,22,21,0,0,27,3230
MASS SLACK NUMERATOR 188696087050360125944102565600237974398557417755746523709779633976235097574193160667190365660650359316360292144803712309429
BIN 26: PATH2; (9/7,31/24]; gamma0=2991/5000; mass ceiling=99140197/100000000.
GAMMA 0=2991/5000;1=97576762500/162555644567;2=6007/10000;3=45325980000/75277951967;4=377/625;5=94429125000/156260369567;6=3672243750/6071594917;7=321059025000/530215750943;8=6057/10000;9=3041/5000;10=6107/10000;11=1533/2500;12=6157/10000;13=3091/5000;14=113314950000/183285038659;15=6207/10000;16=779/1250;17=100724400000/161465615509;18=6257/10000;19=47214562500/75277951967;20=3141/5000;21=6307/10000;22=1583/2500;23=6357/10000;24=75543300000/118488719567;25=3191/5000;26=6407/10000;27=402/625;28=6457/10000;29=3241/5000;30=6507/10000;31=70297237500/107996594567;32=1633/2500;33=39345468750/60154027021;34=6557/10000;35=3291/5000;36=6607/10000;37=829/1250;38=6657/10000;39=3341/5000;40=6707/10000;41=1683/2500;42=6757/10000;43=3391/5000;44=6807/10000;45=427/625;46=6857/10000;47=59805112500/87012344567;48=3441/5000;49=6907/10000;50=1733/2500;51=6957/10000;52=3491/5000;53=7007/10000;54=879/1250;55=7057/10000;56=3541/5000;57=7107/10000;58=1783/2500;59=7157/10000;60=3591/5000;61=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37727255,37978841;1,2,37978841,37713230;2,3,37713230,37042854;3,4,37042854,36733394;4,5,36733394,36600743;5,6,36600743,36602069;6,7,36602069,36666083;7,8,36666083,36687249;8,9,36687249,36990724;9,10,36990724,37295449;10,11,37295449,37601424;11,12,37601424,37908649;12,13,37908649,38217124;13,14,38217124,38222615;14,15,38222615,34858535;15,16,34858535,31801138;16,17,31801138,31107729;17,18,31107729,29114555;18,19,29114555,28631204;19,20,28631204,28363352;20,21,28363352,27719392;21,22,27719392,27115087;22,23,27115087,26550437;23,24,26550437,26156703;24,25,26156703,26025441;25,26,26025441,25540099;26,27,25540099,25094412;27,28,25094412,24688379;28,29,24688379,24322001;29,30,24322001,23995278;30,31,23995278,23968318;31,32,23968318,22836899;32,33,22836899,22410320;33,34,22410320,21637337;34,35,21637337,20481200;35,36,20481200,19368485;36,37,19368485,18299194;37,38,18299194,17273327;38,39,17273327,16290883;39,40,16290883,15351862;40,41,15351862,14456265;41,42,14456265,13604091;42,43,13604091,12795341;43,44,12795341,12030014;44,45,12030014,11308111;45,46,11308111,10629631;46,47,10629631,10213775;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;140736221417/37771650000,1/3,162555644567/75543300000;-120099477633299
2;0,3,6;11/24,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;11/24,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;25/12,5/3,5/8;-5
10;0,6;1/3,1;-1
11;2,3,7;43/24,4/3,5/8;-1
14;0,6;1/3,1;-1
15;2,3,10;43/24,4/3,5/8;-1
18;1,4,8;118916798267/25181100000,1,162555644567/75543300000;-99115227633299
20;0,3,8;13/12,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;53458528817/12590550000,5,162555644567/75543300000;-4686102633299
26;0,8;1/3,1;-1
27;2,3,10;43/24,4/3,5/8;-1
29;1,3,9;5/12,3,31/24;-5
30;1,4,11;118916798267/25181100000,1,162555644567/75543300000;-99115227633299
32;0,3,11;13/12,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;53458528817/12590550000,5,162555644567/75543300000;-4686102633299
38;0,11;1/3,1;-1
39;2,3,7;43/24,4/3,5/8;-1
41;1,3,12;5/12,3,31/24;-5
42;1,4,14;140736221417/37771650000,1/3,162555644567/75543300000;-120099477633299
43;0,3,14;11/24,3,1;-2
45;0,3,14;11/24,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;43/24,4/3,5/8;-1
56;2,3,7;43/24,4/3,5/8;-1
58;2,3,10;43/24,4/3,5/8;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;11/24,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
66;0,3,6;11/24,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;37/12,5/3,19/24;-1
70;0,6;1/3,1;-1
72;1,4,6;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
80;0,3,8;13/12,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;61831244567/12590550000,4,162555644567/75543300000;-36162477633299
84;1,4,8;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
86;0,8;1/3,1;-1
89;1,3,9;5/12,3,31/24;-5
90;1,11;3,1;-2
91;1,4,11;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
92;0,3,11;13/12,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;61831244567/12590550000,4,162555644567/75543300000;-36162477633299
96;1,4,11;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
98;0,11;1/3,1;-1
101;1,3,12;5/12,3,31/24;-5
102;0,1,14;2/3,2,1;-1
103;0,3,14;11/24,3,1;-2
104;1,4,14;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
105;0,3,14;11/24,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;61831244567/15108660000,10/3,162555644567/75543300000;-7390992544433
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;37/12,5/3,19/24;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;23035748423/4721456250,5/3,162555644567/75543300000;-57146727633299
122;0,3,6;11/24,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
126;0,3,6;11/24,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;49/12,13/6,25/24;-1
130;0,6;1/3,1;-1
132;1,4,6;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
134;0,6;1/3,1;-1
136;1,4,6;57543215809/18885825000,19/3,162555644567/75543300000;-2587677633299
138;0,1,8;1,3,1;-2
139;1,4,8;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
140;0,3,8;13/12,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;78060463517/12590550000,3,162555644567/75543300000;-67638852633299
143;1,4,8;57543215809/18885825000,19/3,162555644567/75543300000;-2587677633299
144;1,4,8;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
146;0,8;1/3,1;-1
148;1,4,8;57543215809/18885825000,19/3,162555644567/75543300000;-2587677633299
149;1,3,9;5/12,3,31/24;-5
150;0,1,11;1,3,1;-2
151;1,4,11;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
152;0,3,11;13/12,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;78060463517/12590550000,3,162555644567/75543300000;-67638852633299
155;1,4,11;57543215809/18885825000,19/3,162555644567/75543300000;-2587677633299
156;1,4,11;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
158;0,11;1/3,1;-1
160;1,4,11;57543215809/18885825000,19/3,162555644567/75543300000;-2587677633299
161;1,3,12;5/12,3,31/24;-5
162;0,1,14;5/3,2,1;-1
163;0,3,14;11/24,3,1;-2
164;1,4,14;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
165;0,3,14;11/24,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;83693475587/15108660000,7/3,162555644567/75543300000;-21380492544433
169;0,14;1/3,1;-1
170;1,4,14;57543215809/18885825000,19/3,162555644567/75543300000;-2587677633299
171;1,4,14;23035748423/4721456250,5/3,162555644567/75543300000;-57146727633299
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;49/12,13/6,25/24;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;13439036800824,1298566142132350913325000,6123066456977,52
4;1,4,6,3;13439036800824,897251450882642191980000,25893085239316,88
5;5,4,2,3;25893085239316,1499547412831311052020000,29110555111208,56
12;1,4,6,3;13439036800824,897251450882642191980000,25893085239316,88
13;5,4,2,3;25893085239316,1499547412831311052020000,29110555111208,56
16;1,4,2,6,3;13439036800824,6340877972100000000000000,2455909444505,1,45
17;5,2,3;1,1,1
19;1,4,8,3;13439036800824,897251450882642191980000,25893085239316,88
23;7,4,2,8,3;25893085239316,1499547412831311052020000,2455909444505,1,19
24;1,4,8,3;13439036800824,897251450882642191980000,25893085239316,88
25;7,4,2,3;6123066456977,228506548756796271675000,29110555111208,4
28;7,4,2,8,3;25893085239316,1499547412831311052020000,2455909444505,1,19
31;1,4,11,3;13439036800824,897251450882642191980000,25893085239316,88
35;10,4,2,11,3;25893085239316,1499547412831311052020000,2455909444505,1,19
36;1,4,11,3;13439036800824,897251450882642191980000,25893085239316,88
37;10,4,2,3;6123066456977,228506548756796271675000,29110555111208,4
40;10,4,2,11,3;25893085239316,1499547412831311052020000,2455909444505,1,19
44;1,4,14,3;13439036800824,897251450882642191980000,25893085239316,88
48;1,4,14,3;13439036800824,897251450882642191980000,25893085239316,88
50;1,4,2,14,3;13439036800824,6340877972100000000000000,2455909444505,1,45
51;1,4,14,3;13439036800824,1298566142132350913325000,6123066456977,52
53;13,4,2,3;25893085239316,1499547412831311052020000,29110555111208,56
57;13,4,2,3;25893085239316,1499547412831311052020000,29110555111208,56
59;13,2,3;1,1,1
61;1,4,6,3;13439036800824,219303044727201826650000,1590286541701,4
65;1,4,9,3;13439036800824,2077705827411761461320000,683240955602472,624
71;7,4,2,3;683240955602472,402084729917106538680000,310173119200824,240
73;1,4,12,3;13439036800824,2077705827411761461320000,683240955602472,624
75;10,4,2,3;683240955602472,402084729917106538680000,310173119200824,240
76;1,4,6,3;13439036800824,1066738552421502283312500,7772246591701,7
77;5,4,2,3;7772246591701,132876298925166466687500,310173119200824,5
83;1,4,8,3;13439036800824,1066738552421502283312500,7772246591701,7
85;7,4,12,3;1590286541701,720468821811493634670000,683240955602472,92
87;10,4,2,3;683240955602472,402084729917106538680000,310173119200824,240
88;1,4,8,3;13439036800824,1066738552421502283312500,7772246591701,7
95;1,4,11,3;13439036800824,1066738552421502283312500,7772246591701,7
97;10,4,9,3;1590286541701,720468821811493634670000,683240955602472,92
99;7,4,2,3;683240955602472,402084729917106538680000,310173119200824,240
100;1,4,11,3;13439036800824,1066738552421502283312500,7772246591701,7
110;1,4,14,3;13439036800824,1066738552421502283312500,7772246591701,7
111;1,4,14,3;13439036800824,219303044727201826650000,1590286541701,4
113;1,4,9,3;13439036800824,2077705827411761461320000,683240955602472,624
116;7,4,2,3;683240955602472,402084729917106538680000,310173119200824,240
117;1,4,12,3;13439036800824,2077705827411761461320000,683240955602472,624
118;10,4,2,3;683240955602472,402084729917106538680000,310173119200824,240
119;13,4,2,3;7772246591701,132876298925166466687500,310173119200824,5
125;1,4,9,3;13439036800824,175442435781761461320000,9651760956144,48
131;7,4,2,3;9651760956144,464803834259607108840000,134453191441512,384
133;1,4,12,3;13439036800824,175442435781761461320000,9651760956144,48
135;10,4,2,3;9651760956144,464803834259607108840000,134453191441512,384
137;1,4,2,3;13439036800824,1188914619768750000000000,134453191441512,144
145;1,4,12,3;13439036800824,175442435781761461320000,9651760956144,48
147;10,4,2,3;9651760956144,464803834259607108840000,134453191441512,384
157;1,4,9,3;13439036800824,175442435781761461320000,9651760956144,48
159;7,4,2,3;9651760956144,464803834259607108840000,134453191441512,384
173;1,4,9,3;13439036800824,175442435781761461320000,9651760956144,48
176;7,4,2,3;9651760956144,464803834259607108840000,134453191441512,384
177;1,4,12,3;13439036800824,175442435781761461320000,9651760956144,48
178;10,4,2,3;9651760956144,464803834259607108840000,134453191441512,384
179;1,4,2,3;13439036800824,1188914619768750000000000,134453191441512,144
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;2,6
15;16;V;6,3
16;16;E;4,1
17;16;E;4,2
18;16;E;4,6
19;16;E;4,3
20;17;V;2,3
21;17;E;4,2
22;17;E;4,3
23;25;V;2,3
24;25;E;4,2
25;25;E;4,3
26;61;V;3,1
27;61;V;6,3
28;61;E;4,1
29;61;E;4,6
30;61;E;4,3
31;65;V;3,1
32;65;V;9,3
33;65;E;4,1
34;65;E;4,9
35;65;E;4,3
36;71;V;2,3
37;71;E;4,2
38;71;E;4,3
39;76;V;3,1
40;76;V;6,3
41;76;E;4,1
42;76;E;4,6
43;76;E;4,3
44;77;V;2,3
45;77;E;4,2
46;77;E;4,3
47;85;V;12,3
48;85;E;4,12
49;85;E;4,3
50;87;V;2,3
51;87;E;4,2
52;87;E;4,3
53;125;V;3,1
54;125;V;9,3
55;125;E;4,1
56;125;E;4,9
57;125;E;4,3
58;131;V;2,3
59;131;E;4,2
60;131;E;4,3
61;137;V;3,1
62;137;V;2,3
63;137;E;4,1
64;137;E;4,2
65;137;E;4,3
66;145;V;3,1
67;145;V;12,3
68;145;E;4,1
69;145;E;4,12
70;145;E;4,3
71;147;V;2,3
72;147;E;4,2
73;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/14;E/4,1/2/0/1;E/4,6/3/0/14;E/4,3/4/1/14
4:V/3,1/5/0/1;V/6,3/6/0/7;E/4,1/7/0/1;E/4,6/8/0/7;E/4,3/9/1/7
5:V/3,5/6/0/7;V/2,3/10/0/19;E/4,5/8/0/7;E/4,2/11/0/19;E/4,3/12/7/19
12:V/3,1/5/0/1;V/6,3/6/0/7;E/4,1/7/0/1;E/4,6/8/0/7;E/4,3/9/1/7
13:V/3,5/6/0/7;V/2,3/10/0/19;E/4,5/8/0/7;E/4,2/11/0/19;E/4,3/12/7/19
16:V/3,1/13/0/1;V/2,6/14/0/3;V/6,3/15/0/17;E/4,1/16/0/1;E/4,2/17/0/3;E/4,6/18/3/17;E/4,3/19/1/17
17:V/3,5/15/0/17;V/5,2/14/0/3;V/2,3/20/0/19;E/4,5/18/3/17;E/4,2/21/3/19;E/4,3/22/17/19
19:V/3,1/0/0/1;V/8,3/6/0/7;E/4,1/2/0/1;E/4,8/8/0/7;E/4,3/4/1/7
23:V/3,7/6/0/7;V/2,8/14/0/3;V/8,3/15/0/17;E/4,7/8/0/7;E/4,2/11/0/3;E/4,8/18/3/17;E/4,3/12/7/17
24:V/3,1/0/0/1;V/8,3/6/0/7;E/4,1/2/0/1;E/4,8/8/0/7;E/4,3/4/1/7
25:V/3,7/1/0/14;V/2,3/23/0/19;E/4,7/3/0/14;E/4,2/24/0/19;E/4,3/25/14/19
28:V/3,7/6/0/7;V/2,8/14/0/3;V/8,3/15/0/17;E/4,7/8/0/7;E/4,2/11/0/3;E/4,8/18/3/17;E/4,3/12/7/17
31:V/3,1/0/0/1;V/11,3/6/0/7;E/4,1/2/0/1;E/4,11/8/0/7;E/4,3/4/1/7
35:V/3,10/6/0/7;V/2,11/14/0/3;V/11,3/15/0/17;E/4,10/8/0/7;E/4,2/11/0/3;E/4,11/18/3/17;E/4,3/12/7/17
36:V/3,1/0/0/1;V/11,3/6/0/7;E/4,1/2/0/1;E/4,11/8/0/7;E/4,3/4/1/7
37:V/3,10/1/0/14;V/2,3/23/0/19;E/4,10/3/0/14;E/4,2/24/0/19;E/4,3/25/14/19
40:V/3,10/6/0/7;V/2,11/14/0/3;V/11,3/15/0/17;E/4,10/8/0/7;E/4,2/11/0/3;E/4,11/18/3/17;E/4,3/12/7/17
44:V/3,1/5/0/1;V/14,3/6/0/7;E/4,1/7/0/1;E/4,14/8/0/7;E/4,3/9/1/7
48:V/3,1/5/0/1;V/14,3/6/0/7;E/4,1/7/0/1;E/4,14/8/0/7;E/4,3/9/1/7
50:V/3,1/13/0/1;V/2,14/14/0/3;V/14,3/15/0/17;E/4,1/16/0/1;E/4,2/17/0/3;E/4,14/18/3/17;E/4,3/19/1/17
51:V/3,1/0/0/1;V/14,3/1/0/14;E/4,1/2/0/1;E/4,14/3/0/14;E/4,3/4/1/14
53:V/3,13/6/0/7;V/2,3/10/0/19;E/4,13/8/0/7;E/4,2/11/0/19;E/4,3/12/7/19
57:V/3,13/6/0/7;V/2,3/10/0/19;E/4,13/8/0/7;E/4,2/11/0/19;E/4,3/12/7/19
59:V/3,13/15/0/17;V/13,2/14/0/3;V/2,3/20/0/19;E/4,13/18/3/17;E/4,2/21/3/19;E/4,3/22/17/19
61:V/3,1/26/0/1;V/6,3/27/0/5;E/4,1/28/0/1;E/4,6/29/0/5;E/4,3/30/1/5
65:V/3,1/31/0/1;V/9,3/32/0/31;E/4,1/33/0/1;E/4,9/34/0/31;E/4,3/35/1/31
71:V/3,7/32/0/31;V/2,3/36/0/47;E/4,7/34/0/31;E/4,2/37/0/47;E/4,3/38/31/47
73:V/3,1/31/0/1;V/12,3/32/0/31;E/4,1/33/0/1;E/4,12/34/0/31;E/4,3/35/1/31
75:V/3,10/32/0/31;V/2,3/36/0/47;E/4,10/34/0/31;E/4,2/37/0/47;E/4,3/38/31/47
76:V/3,1/39/0/1;V/6,3/40/0/24;E/4,1/41/0/1;E/4,6/42/0/24;E/4,3/43/1/24
77:V/3,5/40/0/24;V/2,3/44/0/47;E/4,5/42/0/24;E/4,2/45/0/47;E/4,3/46/24/47
83:V/3,1/31/0/1;V/8,3/40/0/24;E/4,1/33/0/1;E/4,8/42/0/24;E/4,3/35/1/24
85:V/3,7/27/0/5;V/12,3/47/0/31;E/4,7/29/0/5;E/4,12/48/0/31;E/4,3/49/5/31
87:V/3,10/47/0/31;V/2,3/50/0/47;E/4,10/48/0/31;E/4,2/51/0/47;E/4,3/52/31/47
88:V/3,1/31/0/1;V/8,3/40/0/24;E/4,1/33/0/1;E/4,8/42/0/24;E/4,3/35/1/24
95:V/3,1/31/0/1;V/11,3/40/0/24;E/4,1/33/0/1;E/4,11/42/0/24;E/4,3/35/1/24
97:V/3,10/27/0/5;V/9,3/47/0/31;E/4,10/29/0/5;E/4,9/48/0/31;E/4,3/49/5/31
99:V/3,7/47/0/31;V/2,3/50/0/47;E/4,7/48/0/31;E/4,2/51/0/47;E/4,3/52/31/47
100:V/3,1/31/0/1;V/11,3/40/0/24;E/4,1/33/0/1;E/4,11/42/0/24;E/4,3/35/1/24
110:V/3,1/39/0/1;V/14,3/40/0/24;E/4,1/41/0/1;E/4,14/42/0/24;E/4,3/43/1/24
111:V/3,1/26/0/1;V/14,3/27/0/5;E/4,1/28/0/1;E/4,14/29/0/5;E/4,3/30/1/5
113:V/3,1/31/0/1;V/9,3/32/0/31;E/4,1/33/0/1;E/4,9/34/0/31;E/4,3/35/1/31
116:V/3,7/32/0/31;V/2,3/36/0/47;E/4,7/34/0/31;E/4,2/37/0/47;E/4,3/38/31/47
117:V/3,1/31/0/1;V/12,3/32/0/31;E/4,1/33/0/1;E/4,12/34/0/31;E/4,3/35/1/31
118:V/3,10/32/0/31;V/2,3/36/0/47;E/4,10/34/0/31;E/4,2/37/0/47;E/4,3/38/31/47
119:V/3,13/40/0/24;V/2,3/44/0/47;E/4,13/42/0/24;E/4,2/45/0/47;E/4,3/46/24/47
125:V/3,1/53/0/1;V/9,3/54/0/6;E/4,1/55/0/1;E/4,9/56/0/6;E/4,3/57/1/6
131:V/3,7/54/0/6;V/2,3/58/0/33;E/4,7/56/0/6;E/4,2/59/0/33;E/4,3/60/6/33
133:V/3,1/53/0/1;V/12,3/54/0/6;E/4,1/55/0/1;E/4,12/56/0/6;E/4,3/57/1/6
135:V/3,10/54/0/6;V/2,3/58/0/33;E/4,10/56/0/6;E/4,2/59/0/33;E/4,3/60/6/33
137:V/3,1/61/0/1;V/2,3/62/0/33;E/4,1/63/0/1;E/4,2/64/0/33;E/4,3/65/1/33
145:V/3,1/66/0/1;V/12,3/67/0/6;E/4,1/68/0/1;E/4,12/69/0/6;E/4,3/70/1/6
147:V/3,10/67/0/6;V/2,3/71/0/33;E/4,10/69/0/6;E/4,2/72/0/33;E/4,3/73/6/33
157:V/3,1/66/0/1;V/9,3/67/0/6;E/4,1/68/0/1;E/4,9/69/0/6;E/4,3/70/1/6
159:V/3,7/67/0/6;V/2,3/71/0/33;E/4,7/69/0/6;E/4,2/72/0/33;E/4,3/73/6/33
173:V/3,1/53/0/1;V/9,3/54/0/6;E/4,1/55/0/1;E/4,9/56/0/6;E/4,3/57/1/6
176:V/3,7/54/0/6;V/2,3/58/0/33;E/4,7/56/0/6;E/4,2/59/0/33;E/4,3/60/6/33
177:V/3,1/53/0/1;V/12,3/54/0/6;E/4,1/55/0/1;E/4,12/56/0/6;E/4,3/57/1/6
178:V/3,10/54/0/6;V/2,3/58/0/33;E/4,10/56/0/6;E/4,2/59/0/33;E/4,3/60/6/33
179:V/3,1/61/0/1;V/2,3/62/0/33;E/4,1/63/0/1;E/4,2/64/0/33;E/4,3/65/1/33
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;7545451/20000000,37978841/100000000;4,3772,0,1967,5982,5982,2263;10,3797884100,0,1973227389,6002668364,6002668364,694967369687
1;C;0,3;18521427/50000000;2,37,0,0,60,60,200;4,3704,0,0,6022,6022,1551032
1;C;3,5;36600743/100000000;4,3660,0,0,6022,6022,671032;4,3660,0,0,6044,6044,140128
1;C;5,6;36600743/100000000;4,3660,0,0,6044,6044,140128;4,3660,0,0,6049,6049,19198
1;L;6,7;36602069/100000000,36666083/100000000;4,3660,0,0,6049,6049,19198;8,36666083,0,0,60552525,60552525,32248750
1;L;7,8;36666083/100000000,36687249/100000000;8,36666083,0,0,60552525,60552525,32248750;8,36687249,0,0,60570000,60570000,0
1;L;8,9;36687249/100000000,9247681/25000000;8,36687249,0,0,60570000,60570000,0;8,36990724,0,0,60820000,60820000,0
1;L;9,10;9247681/25000000,37295449/100000000;8,36990724,0,0,60820000,60820000,0;8,37295449,0,0,61070000,61070000,0
1;L;10,11;37295449/100000000,2350089/6250000;8,37295449,0,0,61070000,61070000,0;8,37601424,0,0,61320000,61320000,0
1;L;11,12;2350089/6250000,37908649/100000000;8,37601424,0,0,61320000,61320000,0;8,37908649,0,0,61570000,61570000,0
1;L;12,13;37908649/100000000,9554281/25000000;8,37908649,0,0,61570000,61570000,0;8,38217124,0,0,61820000,61820000,0
1;L;13,14;9554281/25000000,7644523/20000000;8,38217124,0,0,61820000,61820000,0;10,3822261500,0,0,6182444068,6182444068,692103222752
2;L;0,1;7545451/20000000,37978841/100000000;10,3772725500,0,5982000000,5982000000,1971258973,61366985271;10,3797884100,0,6002668364,6002668364,1973227389,694967369687
3;C;0,3;18521427/50000000;2,37,0,0,60,60,200;4,3704,0,0,6022,6022,1551032
3;C;3,5;36600743/100000000;4,3660,0,0,6022,6022,671032;4,3660,0,0,6044,6044,140128
3;C;5,6;36600743/100000000;4,3660,0,0,6044,6044,140128;4,3660,0,0,6049,6049,19198
3;L;6,7;36602069/100000000,36666083/100000000;4,3660,0,0,6049,6049,19198;8,36666083,0,0,60552525,60552525,32248750
3;L;7,8;36666083/100000000,36687249/100000000;8,36666083,0,0,60552525,60552525,32248750;8,36687249,0,0,60570000,60570000,0
3;L;8,9;36687249/100000000,9247681/25000000;8,36687249,0,0,60570000,60570000,0;8,36990724,0,0,60820000,60820000,0
3;L;9,10;9247681/25000000,37295449/100000000;8,36990724,0,0,60820000,60820000,0;8,37295449,0,0,61070000,61070000,0
3;L;10,11;37295449/100000000,2350089/6250000;8,37295449,0,0,61070000,61070000,0;8,37601424,0,0,61320000,61320000,0
3;L;11,12;2350089/6250000,37908649/100000000;8,37601424,0,0,61320000,61320000,0;8,37908649,0,0,61570000,61570000,0
3;L;12,13;37908649/100000000,9554281/25000000;8,37908649,0,0,61570000,61570000,0;8,38217124,0,0,61820000,61820000,0
3;L;13,14;9554281/25000000,7644523/20000000;8,38217124,0,0,61820000,61820000,0;10,3822261500,0,0,6182444068,6182444068,692103222752
4;L;1,2;37978841/100000000,3771323/10000000;10,3797884100,6002668364,6002668364,0,1973227389,694967369687;8,37713230,60070000,60070000,0,18050933,17829511
4;L;2,3;3771323/10000000,18521427/50000000;8,37713230,60070000,60070000,0,18050933,17829511;10,3704285400,6021149463,6021149463,0,1255876451,628253267861
4;L;3,4;18521427/50000000,18366697/50000000;10,3704285400,6021149463,6021149463,0,1255876451,628253267861;8,36733394,60320000,60320000,0,8347087,138614431
4;L;4,5;18366697/50000000,36600743/100000000;8,36733394,60320000,60320000,0,8347087,138614431;8,36600743,60430630,60430630,0,4052960,30844600
4;L;5,6;36600743/100000000,36602069/100000000;8,36600743,60430630,60430630,0,4052960,30844600;8,36602069,60482358,60482358,0,2045114,50246676
4;L;6,7;36602069/100000000,36666083/100000000;8,36602069,60482358,60482358,0,2045114,50246676;8,36666083,60552525,60552525,0,0,32248750
4;L;7,8;36666083/100000000,36687249/100000000;8,36666083,60552525,60552525,0,0,32248750;8,36687249,60570000,60570000,0,0,0
4;L;8,9;36687249/100000000,9247681/25000000;8,36687249,60570000,60570000,0,0,0;8,36990724,60820000,60820000,0,0,0
4;L;9,10;9247681/25000000,37295449/100000000;8,36990724,60820000,60820000,0,0,0;8,37295449,61070000,61070000,0,0,0
4;L;10,11;37295449/100000000,2350089/6250000;8,37295449,61070000,61070000,0,0,0;8,37601424,61320000,61320000,0,0,0
4;L;11,12;2350089/6250000,37908649/100000000;8,37601424,61320000,61320000,0,0,0;8,37908649,61570000,61570000,0,0,0
4;L;12,13;37908649/100000000,9554281/25000000;8,37908649,61570000,61570000,0,0,0;8,38217124,61820000,61820000,0,0,0
4;L;13,14;9554281/25000000,7644523/20000000;8,38217124,61820000,61820000,0,0,0;10,3822261500,6182444068,6182444068,0,0,692103222752
5;C;0,1;7545451/20000000;2,37,0,1,60,60,199;4,3772,0,47,6003,6003,3365773
6;C;0,3;18521427/50000000;2,37,0,0,60,60,200;4,3704,0,0,6022,6022,1551032
6;C;3,5;36600743/100000000;4,3660,0,0,6022,6022,671032;4,3660,0,0,6044,6044,140128
6;C;5,6;36600743/100000000;4,3660,0,0,6044,6044,140128;4,3660,0,0,6049,6049,19198
6;L;6,7;36602069/100000000,36666083/100000000;4,3660,0,0,6049,6049,19198;8,36666083,0,0,60552525,60552525,32248750
7;C;0,1;7545451/20000000;2,37,0,60,60,0,200;4,3772,47,6003,6003,0,3365773
8;C;0,3;18521427/50000000;2,37,0,0,60,60,200;4,3704,0,0,6022,6022,1551032
8;C;3,5;36600743/100000000;4,3660,0,0,6022,6022,671032;4,3660,0,0,6044,6044,140128
8;C;5,6;36600743/100000000;4,3660,0,0,6044,6044,140128;4,3660,0,0,6049,6049,19198
8;L;6,7;36602069/100000000,36666083/100000000;4,3660,0,0,6049,6049,19198;8,36666083,0,0,60552525,60552525,32248750
9;C;1,4;18366697/50000000;4,3673,6003,6003,47,0,1385773;4,3673,6032,6032,0,0,689952
9;C;4,5;36600743/100000000;4,3660,6032,6032,0,0,429952;4,3660,6044,6044,0,0,140128
9;C;5,6;36600743/100000000;4,3660,6044,6044,0,0,140128;4,3660,6049,6049,0,0,19198
9;L;6,7;36602069/100000000,36666083/100000000;4,3660,6049,6049,0,0,19198;8,36666083,60552525,60552525,0,0,32248750
10;C;0,19;7157801/25000000;2,28,0,0,0,60,2000;2,28,0,0,0,63,1631
11;C;0,19;7157801/25000000;2,28,0,0,60,0,2000;2,28,0,0,63,0,1631
12;C;7,13;36666083/100000000;8,36666083,60552525,0,0,60552525,32248750;2,36,62,0,0,16,3100
12;C;13,19;7157801/25000000;2,28,62,0,0,16,1500;2,28,63,0,0,0,1631
13;C;0,1;7545451/20000000;2,37,1,1,53,60,989;2,37,1,1,54,61,761
14;C;0,3;18521427/50000000;2,37,0,0,0,60,3800;2,37,0,0,0,61,3679
15;C;0,17;31107729/100000000;2,31,0,0,0,60,2600;2,31,0,0,0,63,2231
16;C;0,1;7545451/20000000;2,37,0,0,60,54,884;2,37,1,1,61,54,761
17;C;0,3;18521427/50000000;2,37,0,0,60,0,3800;2,37,0,0,61,0,3679
18;C;3,17;31107729/100000000;2,31,0,0,0,61,2479;2,31,0,0,0,63,2231
19;C;1,9;36600743/100000000;2,36,61,1,1,54,561;2,36,61,0,0,16,3223
19;C;9,17;31107729/100000000;2,31,61,0,0,16,2223;2,31,63,0,0,0,2231
20;C;0,19;7157801/25000000;2,28,0,0,0,49,3199;2,28,0,0,0,52,2896
21;C;3,19;7157801/25000000;2,28,0,0,0,61,1879;2,28,0,0,0,52,2896
22;C;17,19;7157801/25000000;2,28,0,0,0,63,1631;2,28,0,0,0,52,2896
23;C;0,19;7157801/25000000;2,28,0,0,39,60,479;4,2863,0,0,4003,6273,1885462
24;C;0,19;7157801/25000000;2,28,0,0,60,43,151;4,2863,0,0,6273,4003,1885462
25;L;14,15;7644523/20000000,6971707/20000000;10,3822261500,6182444068,0,0,6182444068,692103222752;8,34858535,62070000,0,0,55848205,98277975
25;L;15,16;6971707/20000000,15900569/50000000;8,34858535,62070000,0,0,55848205,98277975;10,3180113800,6232000000,0,0,4976389437,171314823031
25;L;16,17;15900569/50000000,31107729/100000000;10,3180113800,6232000000,0,0,4976389437,171314823031;10,3110772900,6238133097,0,0,4827126801,311180694990
25;L;17,18;31107729/100000000,5822911/20000000;10,3110772900,6238133097,0,0,4827126801,311180694990;10,2911455500,6257000000,0,0,4367958427,179999685671
25;L;18,19;5822911/20000000,7157801/25000000;10,2911455500,6257000000,0,0,4367958427,179999685671;4,2863,6273,0,0,4003,1885462
26;C;0,1;7545451/20000000;2,37,0,0,60,60,200;4,3772,0,0,6003,6003,3367982
27;C;0,5;36600743/100000000;2,36,0,0,60,60,0;4,3660,0,0,6044,6044,140128
28;C;0,1;7545451/20000000;2,37,0,0,60,60,200;4,3772,0,0,6003,6003,3367982
29;C;0,5;36600743/100000000;2,36,0,0,60,60,0;4,3660,0,0,6044,6044,140128
30;C;1,5;36600743/100000000;4,3660,6003,6003,0,0,1127982;4,3660,6044,6044,0,0,140128
31;C;0,1;7545451/20000000;2,37,0,0,37,60,2431;2,37,0,0,37,61,2310
32;C;0,31;11984159/50000000;2,23,0,0,0,60,1000;2,23,0,0,0,66,244
33;C;0,1;7545451/20000000;2,37,0,0,60,38,2356;2,37,0,0,61,37,2310
34;C;0,31;11984159/50000000;2,23,0,0,0,60,1000;2,23,0,0,0,66,244
35;C;1,16;15900569/50000000;2,31,61,0,0,37,1110;2,31,63,0,0,13,2062
35;C;16,31;11984159/50000000;2,23,63,0,0,13,462;2,23,66,0,0,0,244
36;C;0,47;408551/4000000;2,10,0,0,0,31,1039;2,10,0,0,0,36,704
37;C;0,47;408551/4000000;2,10,0,0,0,43,151;2,10,0,0,0,36,704
38;C;31,33;280129/1250000;2,22,0,0,0,66,44;2,22,0,0,0,63,431
38;C;33,35;51203/250000;2,20,0,0,0,63,31;2,20,0,0,0,60,400
38;C;35,37;9149597/50000000;2,18,0,0,0,60,0;2,18,0,0,0,55,575
38;C;37,39;16290883/100000000;2,16,0,0,0,55,175;2,16,0,0,0,51,599
38;C;39,41;2891253/20000000;2,14,0,0,0,51,199;2,14,0,0,0,47,591
38;C;41,43;12795341/100000000;2,12,0,0,0,47,191;2,12,0,0,0,43,551
38;C;43,47;408551/4000000;2,10,0,0,0,43,151;2,10,0,0,0,36,704
39;C;0,1;7545451/20000000;2,37,0,0,10,60,3700;2,37,0,0,10,61,3579
40;C;0,24;26156703/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
41;C;0,1;7545451/20000000;2,37,0,0,60,11,3679;2,37,0,0,61,10,3579
42;C;0,24;26156703/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
43;C;1,24;26156703/100000000;2,26,61,0,0,10,1379;2,26,64,0,0,0,1104
44;C;0,47;408551/4000000;2,10,0,0,0,16,1744;2,10,0,0,0,19,1639
45;C;0,23;26550437/100000000;2,26,0,0,0,51,2599;2,26,0,0,0,38,3756
45;C;23,47;408551/4000000;2,10,0,0,0,38,556;2,10,0,0,0,19,1639
46;C;24,35;51203/250000;4,2048,0,0,0,6376,306624;2,20,0,0,0,45,1975
46;C;35,47;408551/4000000;4,1021,0,0,0,4492,241936;2,10,0,0,0,19,1639
47;C;0,31;11984159/50000000;2,23,0,0,22,60,516;10,2396831800,0,0,2359414675,6509208720,230870605975
48;C;0,31;11984159/50000000;2,23,0,0,19,60,639;10,2396831800,0,0,2359414675,6509208720,230870605975
49;C;5,11;36600743/100000000;4,3660,6044,0,0,6044,140128;2,36,62,0,0,54,440
49;C;11,14;2350089/6250000;2,37,62,0,0,54,640;2,37,62,0,0,50,1056
49;C;14,16;15900569/50000000;4,3180,6183,0,0,4942,947147;2,31,63,0,0,46,115
49;C;16,17;31107729/100000000;2,31,63,0,0,46,115;2,31,63,0,0,46,115
49;L;17,18;31107729/100000000,5822911/20000000;2,31,63,0,0,46,115;4,2911,6257,0,0,4353,121342
49;L;18,19;5822911/20000000,7157801/25000000;4,2911,6257,0,0,4353,121342;10,2863120400,6272030690,0,0,4233679118,149508865976
49;L;19,20;7157801/25000000,3545419/12500000;10,2863120400,6272030690,0,0,4233679118,149508865976;8,28363352,62820000,0,0,41548982,94763676
49;L;20,21;3545419/12500000,866231/3125000;8,28363352,62820000,0,0,41548982,94763676;8,27719392,63070000,0,0,39573393,66467551
49;L;21,22;866231/3125000,27115087/100000000;8,27719392,63070000,0,0,39573393,66467551;8,27115087,63320000,0,0,37597805,59181975
49;L;22,23;27115087/100000000,26550437/100000000;8,27115087,63320000,0,0,37597805,59181975;8,26550437,63570000,0,0,35622217,156004911
49;L;23,24;26550437/100000000,26156703/100000000;8,26550437,63570000,0,0,35622217,156004911;10,2615670300,6375568939,0,0,3415483360,121621524679
49;L;24,25;26156703/100000000,26025441/100000000;10,2615670300,6375568939,0,0,3415483360,121621524679;8,26025441,63820000,0,0,33646629,156936359
49;L;25,26;26025441/100000000,25540099/100000000;8,26025441,63820000,0,0,33646629,156936359;8,25540099,64070000,0,0,31671041,61976319
49;L;26,27;25540099/100000000,6273603/25000000;8,25540099,64070000,0,0,31671041,61976319;8,25094412,64320000,0,0,29695453,71124791
49;L;27,28;6273603/25000000,24688379/100000000;8,25094412,64320000,0,0,29695453,71124791;8,24688379,64570000,0,0,27719864,39821504
49;L;28,29;24688379/100000000,24322001/100000000;8,24688379,64570000,0,0,27719864,39821504;8,24322001,64820000,0,0,25744276,53235824
49;L;29,30;24322001/100000000,11997639/50000000;8,24322001,64820000,0,0,25744276,53235824;8,23995278,65070000,0,0,23768688,170758656
49;L;30,31;11997639/50000000,11984159/50000000;8,23995278,65070000,0,0,23768688,170758656;10,2396831800,6509208720,0,0,2359414675,230870605975
50;C;0,47;408551/4000000;2,10,0,0,25,31,414;8,10213775,0,0,28422907,35141049,32848950
51;C;0,23;26550437/100000000;2,26,0,0,20,43,2951;2,26,0,0,24,40,3024
51;C;23,35;51203/250000;2,20,0,0,24,40,1824;2,20,0,0,26,38,1880
51;C;35,41;2891253/20000000;2,14,0,0,26,38,680;2,14,0,0,28,37,647
51;C;41,44;6015007/50000000;2,12,0,0,28,37,247;2,12,0,0,28,36,320
51;C;44,45;11308111/100000000;2,11,0,0,28,36,120;2,11,0,0,29,36,63
51;C;45,46;10629631/100000000;4,1062,0,0,2802,3550,786296;4,1062,0,0,2827,3528,801287
51;L;46,47;10629631/100000000,408551/4000000;4,1062,0,0,2827,3528,801287;8,10213775,0,0,28422907,35141049,32848950
52;L;31,32;11984159/50000000,22836899/100000000;10,2396831800,2359414675,0,0,6509208720,230870605975;8,22836899,23896520,0,0,63216580,144993200
52;L;32,33;22836899/100000000,280129/1250000;8,22836899,23896520,0,0,63216580,144993200;8,22410320,24013099,0,0,62493480,33905799
52;L;33,34;280129/1250000,21637337/100000000;8,22410320,24013099,0,0,62493480,33905799;10,2163733700,2422819513,0,0,6115931605,210388566806
52;L;34,35;21637337/100000000,51203/250000;10,2163733700,2422819513,0,0,6115931605,210388566806;8,20481200,24559871,0,0,59102053,67648550
52;L;35,36;51203/250000,3873697/20000000;8,20481200,24559871,0,0,59102053,67648550;10,1936848500,2489154666,0,0,5704478817,475128708955
52;L;36,37;3873697/20000000,9149597/50000000;10,1936848500,2489154666,0,0,5704478817,475128708955;10,1829919400,2522322242,0,0,5498752423,298063722507
52;L;37,38;9149597/50000000,17273327/100000000;10,1829919400,2522322242,0,0,5498752423,298063722507;8,17273327,25554899,0,0,52930261,7571678
52;L;38,39;17273327/100000000,16290883/100000000;8,17273327,25554899,0,0,52930261,7571678;8,16290883,25886574,0,0,50872997,62780515
52;L;39,40;16290883/100000000,7675931/50000000;8,16290883,25886574,0,0,50872997,62780515;10,1535186200,2621824971,0,0,4881573240,523956751559
52;L;40,41;7675931/50000000,2891253/20000000;10,1535186200,2621824971,0,0,4881573240,523956751559;8,14456265,26549926,0,0,46758469,6170563
52;L;41,42;2891253/20000000,13604091/100000000;8,14456265,26549926,0,0,46758469,6170563;10,1360409100,2688160124,0,0,4470120452,292347620320
52;L;42,43;13604091/100000000,12795341/100000000;10,1360409100,2688160124,0,0,4470120452,292347620320;8,12795341,27213277,0,0,42643941,50909790
52;L;43,44;12795341/100000000,6015007/50000000;8,12795341,27213277,0,0,42643941,50909790;8,12030014,27544953,0,0,40586677,14325462
52;L;44,45;6015007/50000000,11308111/100000000;8,12030014,27544953,0,0,40586677,14325462;8,11308111,27876629,0,0,38529413,89471790
52;L;45,46;11308111/100000000,10629631/100000000;8,11308111,27876629,0,0,38529413,89471790;8,10629631,28208305,0,0,36472149,76348774
52;L;46,47;10629631/100000000,408551/4000000;8,10629631,28208305,0,0,36472149,76348774;8,10213775,28422907,0,0,35141049,32848950
53;C;0,1;7545451/20000000;2,37,0,0,0,60,3800;2,37,0,0,0,61,3679
54;C;0,6;36600743/100000000;2,36,0,0,0,60,3600;2,36,0,0,0,61,3479
55;C;0,1;7545451/20000000;2,37,0,0,60,0,3800;2,37,0,0,61,0,3679
56;C;0,6;36600743/100000000;2,36,0,0,0,60,3600;2,36,0,0,0,61,3479
57;C;1,6;36600743/100000000;2,36,61,0,0,0,3479;2,36,61,0,0,0,3479
58;C;0,33;280129/1250000;2,22,0,0,0,24,3824;2,22,0,0,0,26,3724
59;C;0,33;280129/1250000;2,22,0,0,0,31,3439;2,22,0,0,0,26,3724
60;C;6,33;280129/1250000;2,22,0,0,0,61,679;2,22,0,0,0,26,3724
61;C;0,1;7545451/20000000;2,37,0,0,0,55,4375;2,37,0,0,0,55,4375
62;C;0,33;280129/1250000;2,22,0,0,0,13,4231;2,22,0,0,0,14,4204
63;C;0,1;7545451/20000000;2,37,0,0,0,56,4264;2,37,0,0,0,55,4375
64;C;0,33;280129/1250000;2,22,0,0,0,35,3175;2,22,0,0,0,14,4204
65;C;1,33;280129/1250000;2,22,0,0,0,55,1375;2,22,0,0,0,14,4204
66;C;0,1;7545451/20000000;2,37,0,0,20,60,3400;2,37,0,0,20,61,3279
67;C;0,6;36600743/100000000;2,36,0,0,17,60,3311;2,36,0,0,17,61,3190
68;C;0,1;7545451/20000000;2,37,0,0,60,21,3359;2,37,0,0,61,20,3279
69;C;0,6;36600743/100000000;2,36,0,0,16,60,3344;2,36,0,0,17,61,3190
70;C;1,6;36600743/100000000;2,36,61,0,0,20,3079;2,36,61,0,0,17,3190
71;C;0,33;280129/1250000;2,22,0,0,20,24,3424;2,22,0,0,22,26,3240
72;C;0,33;280129/1250000;2,22,0,0,16,31,3183;2,22,0,0,22,26,3240
73;C;6,33;280129/1250000;2,22,17,0,0,61,390;2,22,22,0,0,26,3240
MASS SLACK NUMERATOR 11022217905850195970866380437742990425035500785574008298977549077492076141977182079302197541488466855640951303692198807161383
BIN 27: PATH2; (31/24,109/84]; gamma0=5989/10000; mass ceiling=99339827/100000000.
GAMMA 0=5989/10000;1=14003775000/23302592081;2=3007/5000;3=6039/10000;4=13618350000/22531742081;5=13746825000/22727794931;6=23253975000/38367238687;7=379/625;8=6089/10000;9=3057/5000;10=6139/10000;11=1541/2500;12=6189/10000;13=4111200000/6641734603;14=3107/5000;15=6239/10000;16=3682950000/5899577353;17=783/1250;18=6809175000/10834350281;19=6289/10000;20=3157/5000;21=6339/10000;22=1591/2500;23=10963200000/17221442081;24=6389/10000;25=3207/5000;26=6439/10000;27=404/625;28=6489/10000;29=10149525000/15594092081;30=3257/5000;31=6539/10000;32=5652900000/8633611003;33=1641/2500;34=6589/10000;35=3307/5000;36=6639/10000;37=833/1250;38=6689/10000;39=3357/5000;40=6739/10000;41=1691/2500;42=6789/10000;43=3407/5000;44=6839/10000;45=429/625;46=8607825000/12510692081;47=6889/10000;48=3457/5000;49=6939/10000;50=1741/2500;51=6989/10000;52=3507/5000;53=7039/10000;54=883/1250;55=7089/10000;56=3557/5000;57=7139/10000;58=1791/2500;59=7189/10000;60=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37700150,37949821;1,2,37949821,37691072;2,3,37691072,36781183;3,4,36781183,36708173;4,5,36708173,36675389;5,6,36675389,36734431;6,7,36734431,36772096;7,8,36772096,37075921;8,9,37075921,37380996;9,10,37380996,37687321;10,11,37687321,37994896;11,12,37994896,38303721;12,13,38303721,38315472;13,14,38315472,35029737;14,15,35029737,31974352;15,16,31974352,31549350;16,17,31549350,29285964;17,18,29285964,28249903;18,19,28249903,28138749;19,20,28138749,27500356;20,21,27500356,26902381;21,22,26902381,26344824;22,23,26344824,26301593;23,24,26301593,25827684;24,25,25827684,25350962;25,26,25350962,24914658;26,27,24914658,24518772;27,28,24518772,24163303;28,29,24163303,23913238;29,30,23913238,23637256;30,31,23637256,22393499;31,32,22393499,21978323;32,33,21978323,21194149;33,34,21194149,20039209;34,35,20039209,18928676;35,36,18928676,17862553;36,37,17862553,16840837;37,38,16840837,15863530;38,39,15863530,14930632;39,40,14930632,14042142;40,41,14042142,13198061;41,42,13198061,12398388;42,43,12398388,11643123;43,44,11643123,10932268;44,45,10932268,10265820;45,46,10265820,9853373;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;20185531631/5395950000,1/3,23302592081/10791900000;-103586223973109
2;0,3,6;37/84,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;37/84,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;89/42,5/3,53/84;-17
10;0,6;1/3,1;-1
11;2,3,7;51/28,4/3,53/84;-1
14;0,6;1/3,1;-1
15;2,3,10;51/28,4/3,53/84;-1
18;1,4,8;17068471181/3597300000,1,23302592081/10791900000;-85599723973109
20;0,3,8;15/14,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;7717289831/1798650000,5,23302592081/10791900000;-4660473973109
26;0,8;1/3,1;-1
27;2,3,10;51/28,4/3,53/84;-1
29;1,3,9;17/42,3,109/84;-17
30;1,4,11;17068471181/3597300000,1,23302592081/10791900000;-85599723973109
32;0,3,11;15/14,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;7717289831/1798650000,5,23302592081/10791900000;-4660473973109
38;0,11;1/3,1;-1
39;2,3,7;51/28,4/3,53/84;-1
41;1,3,12;17/42,3,109/84;-17
42;1,4,14;20185531631/5395950000,1/3,23302592081/10791900000;-103586223973109
43;0,3,14;37/84,3,1;-2
45;0,3,14;37/84,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;51/28,4/3,53/84;-1
56;2,3,7;51/28,4/3,53/84;-1
58;2,3,10;51/28,4/3,53/84;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;37/84,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
66;0,3,6;37/84,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;131/42,5/3,67/84;-1
70;0,6;1/3,1;-1
72;1,4,6;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
80;0,3,8;15/14,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;8913392081/1798650000,4,23302592081/10791900000;-31640223973109
84;1,4,8;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
86;0,8;1/3,1;-1
89;1,3,9;17/42,3,109/84;-17
90;1,11;3,1;-2
91;1,4,11;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
92;0,3,11;15/14,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;8913392081/1798650000,4,23302592081/10791900000;-31640223973109
96;1,4,11;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
98;0,11;1/3,1;-1
101;1,3,12;17/42,3,109/84;-17
102;0,1,14;2/3,2,1;-1
103;0,3,14;37/84,3,1;-2
104;1,4,14;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
105;0,3,14;37/84,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;8913392081/2158380000,10/3,23302592081/10791900000;-19649223973109
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;131/42,5/3,67/84;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;3310910489/674493750,5/3,23302592081/10791900000;-49626723973109
122;0,3,6;37/84,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
126;0,3,6;37/84,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;173/42,13/6,22/21;-1
130;0,6;1/3,1;-1
132;1,4,6;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
134;0,6;1/3,1;-1
136;1,4,6;8381173687/2697975000,19/3,23302592081/10791900000;-2861823973109
138;0,1,8;1,3,1;-2
139;1,4,8;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
140;0,3,8;15/14,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;11231851931/1798650000,3,23302592081/10791900000;-58619973973109
143;1,4,8;8381173687/2697975000,19/3,23302592081/10791900000;-2861823973109
144;1,4,8;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
146;0,8;1/3,1;-1
148;1,4,8;8381173687/2697975000,19/3,23302592081/10791900000;-2861823973109
149;1,3,9;17/42,3,109/84;-17
150;0,1,11;1,3,1;-2
151;1,4,11;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
152;0,3,11;15/14,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;11231851931/1798650000,3,23302592081/10791900000;-58619973973109
155;1,4,11;8381173687/2697975000,19/3,23302592081/10791900000;-2861823973109
156;1,4,11;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
158;0,11;1/3,1;-1
160;1,4,11;8381173687/2697975000,19/3,23302592081/10791900000;-2861823973109
161;1,3,12;17/42,3,109/84;-17
162;0,1,14;5/3,2,1;-1
163;0,3,14;37/84,3,1;-2
164;1,4,14;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
165;0,3,14;37/84,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;12036567941/2158380000,7/3,23302592081/10791900000;-55622223973109
169;0,14;1/3,1;-1
170;1,4,14;8381173687/2697975000,19/3,23302592081/10791900000;-2861823973109
171;1,4,14;3310910489/674493750,5/3,23302592081/10791900000;-49626723973109
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;173/42,13/6,22/21;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;40196186258844,157271103413651245725000,28027680715293,945
4;1,4,6,3;40196186258844,105698735102762989740000,231702030298788,3108
5;5,4,2,3;231702030298788,187221704767422382260000,5079347132748,6300
12;1,4,6,3;40196186258844,105698735102762989740000,231702030298788,3108
13;5,4,2,3;231702030298788,187221704767422382260000,5079347132748,6300
16;1,4,6,3;40196186258844,543719880380756228625000,94306667671629,3255
17;5,4,2,3;94306667671629,1828199565463296375000,5079347132748,273
19;1,4,8,3;40196186258844,105698735102762989740000,231702030298788,3108
23;7,4,8,3;231702030298788,130858411204474154145000,94306667671629,4179
24;1,4,8,3;40196186258844,105698735102762989740000,231702030298788,3108
25;7,4,2,3;28027680715293,29481916315592659275000,5079347132748,231
28;7,4,8,3;231702030298788,130858411204474154145000,94306667671629,4179
31;1,4,11,3;40196186258844,105698735102762989740000,231702030298788,3108
35;10,4,11,3;231702030298788,130858411204474154145000,94306667671629,4179
36;1,4,11,3;40196186258844,105698735102762989740000,231702030298788,3108
37;10,4,2,3;28027680715293,29481916315592659275000,5079347132748,231
40;10,4,11,3;231702030298788,130858411204474154145000,94306667671629,4179
44;1,4,14,3;40196186258844,105698735102762989740000,231702030298788,3108
48;1,4,14,3;40196186258844,105698735102762989740000,231702030298788,3108
50;1,4,14,3;40196186258844,543719880380756228625000,94306667671629,3255
51;1,4,14,3;40196186258844,157271103413651245725000,28027680715293,945
53;13,4,2,3;231702030298788,187221704767422382260000,5079347132748,6300
57;13,4,2,3;231702030298788,187221704767422382260000,5079347132748,6300
59;13,4,2,3;94306667671629,1828199565463296375000,5079347132748,273
61;1,4,6,3;40196186258844,23379442802302491450000,491676041787,126
65;1,4,9,3;40196186258844,251633765461841993160000,680587532258844,2520
71;7,4,2,3;680587532258844,51687955588842006840000,936744070658844,1008
73;1,4,12,3;40196186258844,251633765461841993160000,680587532258844,2520
75;10,4,2,3;680587532258844,51687955588842006840000,936744070658844,1008
76;1,4,6,3;40196186258844,126278558177878114312500,409045352744133,1491
77;5,4,2,3;409045352744133,20103521435690635687500,936744070658844,1155
83;1,4,8,3;40196186258844,126278558177878114312500,409045352744133,1491
85;7,4,12,3;491676041787,88752419159881501710000,680587532258844,1134
87;10,4,2,3;680587532258844,51687955588842006840000,936744070658844,1008
88;1,4,8,3;40196186258844,126278558177878114312500,409045352744133,1491
95;1,4,11,3;40196186258844,126278558177878114312500,409045352744133,1491
97;10,4,9,3;491676041787,88752419159881501710000,680587532258844,1134
99;7,4,2,3;680587532258844,51687955588842006840000,936744070658844,1008
100;1,4,11,3;40196186258844,126278558177878114312500,409045352744133,1491
110;1,4,14,3;40196186258844,126278558177878114312500,409045352744133,1491
111;1,4,14,3;40196186258844,23379442802302491450000,491676041787,126
113;1,4,9,3;40196186258844,251633765461841993160000,680587532258844,2520
116;7,4,2,3;680587532258844,51687955588842006840000,936744070658844,1008
117;1,4,12,3;40196186258844,251633765461841993160000,680587532258844,2520
118;10,4,2,3;680587532258844,51687955588842006840000,936744070658844,1008
119;13,4,2,3;409045352744133,20103521435690635687500,936744070658844,1155
125;1,4,9,3;40196186258844,18703554241841993160000,113524837292244,168
131;7,4,2,3;113524837292244,58213165359395266920000,101268377763693,399
133;1,4,12,3;40196186258844,18703554241841993160000,113524837292244,168
135;10,4,2,3;113524837292244,58213165359395266920000,101268377763693,399
137;1,4,2,3;40196186258844,145581382012500000000000,101268377763693,441
145;1,4,12,3;40196186258844,18703554241841993160000,113524837292244,168
147;10,4,2,3;113524837292244,58213165359395266920000,101268377763693,399
157;1,4,9,3;40196186258844,18703554241841993160000,113524837292244,168
159;7,4,2,3;113524837292244,58213165359395266920000,101268377763693,399
173;1,4,9,3;40196186258844,18703554241841993160000,113524837292244,168
176;7,4,2,3;113524837292244,58213165359395266920000,101268377763693,399
177;1,4,12,3;40196186258844,18703554241841993160000,113524837292244,168
178;10,4,2,3;113524837292244,58213165359395266920000,101268377763693,399
179;1,4,2,3;40196186258844,145581382012500000000000,101268377763693,441
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
16:V/3,1/13/0/1;V/6,3/14/0/16;E/4,1/15/0/1;E/4,6/16/0/16;E/4,3/17/1/16
17:V/3,5/14/0/16;V/2,3/18/0/18;E/4,5/16/0/16;E/4,2/19/0/18;E/4,3/20/16/18
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/16;E/4,7/8/0/6;E/4,8/16/0/16;E/4,3/12/6/16
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/13;V/2,3/21/0/18;E/4,7/3/0/13;E/4,2/22/0/18;E/4,3/23/13/18
28:V/3,7/6/0/6;V/8,3/14/0/16;E/4,7/8/0/6;E/4,8/16/0/16;E/4,3/12/6/16
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/16;E/4,10/8/0/6;E/4,11/16/0/16;E/4,3/12/6/16
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/13;V/2,3/21/0/18;E/4,10/3/0/13;E/4,2/22/0/18;E/4,3/23/13/18
40:V/3,10/6/0/6;V/11,3/14/0/16;E/4,10/8/0/6;E/4,11/16/0/16;E/4,3/12/6/16
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/16;E/4,1/15/0/1;E/4,14/16/0/16;E/4,3/17/1/16
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
57:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
59:V/3,13/14/0/16;V/2,3/18/0/18;E/4,13/16/0/16;E/4,2/19/0/18;E/4,3/20/16/18
61:V/3,1/24/0/1;V/6,3/25/0/4;E/4,1/26/0/1;E/4,6/27/0/4;E/4,3/28/1/4
65:V/3,1/29/0/1;V/9,3/30/0/29;E/4,1/31/0/1;E/4,9/32/0/29;E/4,3/33/1/29
71:V/3,7/30/0/29;V/2,3/34/0/46;E/4,7/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
73:V/3,1/29/0/1;V/12,3/30/0/29;E/4,1/31/0/1;E/4,12/32/0/29;E/4,3/33/1/29
75:V/3,10/30/0/29;V/2,3/34/0/46;E/4,10/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
76:V/3,1/37/0/1;V/6,3/38/0/23;E/4,1/39/0/1;E/4,6/40/0/23;E/4,3/41/1/23
77:V/3,5/38/0/23;V/2,3/42/0/46;E/4,5/40/0/23;E/4,2/43/0/46;E/4,3/44/23/46
83:V/3,1/29/0/1;V/8,3/38/0/23;E/4,1/31/0/1;E/4,8/40/0/23;E/4,3/33/1/23
85:V/3,7/25/0/4;V/12,3/45/0/29;E/4,7/27/0/4;E/4,12/46/0/29;E/4,3/47/4/29
87:V/3,10/45/0/29;V/2,3/48/0/46;E/4,10/46/0/29;E/4,2/49/0/46;E/4,3/50/29/46
88:V/3,1/29/0/1;V/8,3/38/0/23;E/4,1/31/0/1;E/4,8/40/0/23;E/4,3/33/1/23
95:V/3,1/29/0/1;V/11,3/38/0/23;E/4,1/31/0/1;E/4,11/40/0/23;E/4,3/33/1/23
97:V/3,10/25/0/4;V/9,3/45/0/29;E/4,10/27/0/4;E/4,9/46/0/29;E/4,3/47/4/29
99:V/3,7/45/0/29;V/2,3/48/0/46;E/4,7/46/0/29;E/4,2/49/0/46;E/4,3/50/29/46
100:V/3,1/29/0/1;V/11,3/38/0/23;E/4,1/31/0/1;E/4,11/40/0/23;E/4,3/33/1/23
110:V/3,1/37/0/1;V/14,3/38/0/23;E/4,1/39/0/1;E/4,14/40/0/23;E/4,3/41/1/23
111:V/3,1/24/0/1;V/14,3/25/0/4;E/4,1/26/0/1;E/4,14/27/0/4;E/4,3/28/1/4
113:V/3,1/29/0/1;V/9,3/30/0/29;E/4,1/31/0/1;E/4,9/32/0/29;E/4,3/33/1/29
116:V/3,7/30/0/29;V/2,3/34/0/46;E/4,7/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
117:V/3,1/29/0/1;V/12,3/30/0/29;E/4,1/31/0/1;E/4,12/32/0/29;E/4,3/33/1/29
118:V/3,10/30/0/29;V/2,3/34/0/46;E/4,10/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
119:V/3,13/38/0/23;V/2,3/42/0/46;E/4,13/40/0/23;E/4,2/43/0/46;E/4,3/44/23/46
125:V/3,1/51/0/1;V/9,3/52/0/5;E/4,1/53/0/1;E/4,9/54/0/5;E/4,3/55/1/5
131:V/3,7/52/0/5;V/2,3/56/0/32;E/4,7/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
133:V/3,1/51/0/1;V/12,3/52/0/5;E/4,1/53/0/1;E/4,12/54/0/5;E/4,3/55/1/5
135:V/3,10/52/0/5;V/2,3/56/0/32;E/4,10/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
137:V/3,1/59/0/1;V/2,3/60/0/32;E/4,1/61/0/1;E/4,2/62/0/32;E/4,3/63/1/32
145:V/3,1/64/0/1;V/12,3/65/0/5;E/4,1/66/0/1;E/4,12/67/0/5;E/4,3/68/1/5
147:V/3,10/65/0/5;V/2,3/69/0/32;E/4,10/67/0/5;E/4,2/70/0/32;E/4,3/71/5/32
157:V/3,1/64/0/1;V/9,3/65/0/5;E/4,1/66/0/1;E/4,9/67/0/5;E/4,3/68/1/5
159:V/3,7/65/0/5;V/2,3/69/0/32;E/4,7/67/0/5;E/4,2/70/0/32;E/4,3/71/5/32
173:V/3,1/51/0/1;V/9,3/52/0/5;E/4,1/53/0/1;E/4,9/54/0/5;E/4,3/55/1/5
176:V/3,7/52/0/5;V/2,3/56/0/32;E/4,7/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
177:V/3,1/51/0/1;V/12,3/52/0/5;E/4,1/53/0/1;E/4,12/54/0/5;E/4,3/55/1/5
178:V/3,10/52/0/5;V/2,3/56/0/32;E/4,10/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
179:V/3,1/59/0/1;V/2,3/60/0/32;E/4,1/61/0/1;E/4,2/62/0/32;E/4,3/63/1/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;754003/2000000,37949821/100000000;4,3770,0,1910,5989,5989,15658;10,3794982100,0,1915883965,6009535314,6009535314,1252229721583
1;C;0,3;36781183/100000000;2,36,0,0,60,60,0;4,3678,0,0,6039,6039,620958
1;C;3,4;36708173/100000000;4,3670,0,0,6039,6039,460958;4,3670,0,0,6045,6045,315950
1;C;4,5;36675389/100000000;4,3667,0,0,6045,6045,255950;4,3667,0,0,6049,6049,159198
1;L;5,6;36675389/100000000,36734431/100000000;4,3667,0,0,6049,6049,159198;10,3673443100,0,0,6060893564,6060893564,411726755808
1;L;6,7;36734431/100000000,143641/390625;10,3673443100,0,0,6060893564,6060893564,411726755808;8,36772096,0,0,60640000,60640000,0
1;L;7,8;143641/390625,37075921/100000000;8,36772096,0,0,60640000,60640000,0;8,37075921,0,0,60890000,60890000,0
1;L;8,9;37075921/100000000,9345249/25000000;8,37075921,0,0,60890000,60890000,0;8,37380996,0,0,61140000,61140000,0
1;L;9,10;9345249/25000000,37687321/100000000;8,37380996,0,0,61140000,61140000,0;8,37687321,0,0,61390000,61390000,0
1;L;10,11;37687321/100000000,2374681/6250000;8,37687321,0,0,61390000,61390000,0;8,37994896,0,0,61640000,61640000,0
1;L;11,12;2374681/6250000,38303721/100000000;8,37994896,0,0,61640000,61640000,0;8,38303721,0,0,61890000,61890000,0
1;L;12,13;38303721/100000000,2394717/6250000;8,38303721,0,0,61890000,61890000,0;10,3831547200,0,0,6189949232,6189949232,1010525220352
2;L;0,1;754003/2000000,37949821/100000000;8,37700150,0,59890000,59890000,19141727,87457471;10,3794982100,0,6009535314,6009535314,1915883965,1252229721583
3;C;0,3;36781183/100000000;2,36,0,0,60,60,0;4,3678,0,0,6039,6039,620958
3;C;3,4;36708173/100000000;4,3670,0,0,6039,6039,460958;4,3670,0,0,6045,6045,315950
3;C;4,5;36675389/100000000;4,3667,0,0,6045,6045,255950;4,3667,0,0,6049,6049,159198
3;L;5,6;36675389/100000000,36734431/100000000;4,3667,0,0,6049,6049,159198;10,3673443100,0,0,6060893564,6060893564,411726755808
3;L;6,7;36734431/100000000,143641/390625;10,3673443100,0,0,6060893564,6060893564,411726755808;8,36772096,0,0,60640000,60640000,0
3;L;7,8;143641/390625,37075921/100000000;8,36772096,0,0,60640000,60640000,0;8,37075921,0,0,60890000,60890000,0
3;L;8,9;37075921/100000000,9345249/25000000;8,37075921,0,0,60890000,60890000,0;8,37380996,0,0,61140000,61140000,0
3;L;9,10;9345249/25000000,37687321/100000000;8,37380996,0,0,61140000,61140000,0;8,37687321,0,0,61390000,61390000,0
3;L;10,11;37687321/100000000,2374681/6250000;8,37687321,0,0,61390000,61390000,0;8,37994896,0,0,61640000,61640000,0
3;L;11,12;2374681/6250000,38303721/100000000;8,37994896,0,0,61640000,61640000,0;8,38303721,0,0,61890000,61890000,0
3;L;12,13;38303721/100000000,2394717/6250000;8,38303721,0,0,61890000,61890000,0;10,3831547200,0,0,6189949232,6189949232,1010525220352
4;L;1,2;37949821/100000000,588923/1562500;10,3794982100,6009535314,6009535314,0,1915883965,1252229721583;8,37691072,60140000,60140000,0,17452081,68769439
4;L;2,3;588923/1562500,36781183/100000000;8,37691072,60140000,60140000,0,17452081,68769439;8,36781183,60390000,60390000,0,7895087,1262431
4;L;3,4;36781183/100000000,36708173/100000000;8,36781183,60390000,60390000,0,7895087,1262431;8,36708173,60440733,60440733,0,5955679,76494381
4;L;4,5;36708173/100000000,36675389/100000000;8,36708173,60440733,60440733,0,5955679,76494381;10,3667538900,6048464025,6048464025,0,427718159,1053023249469
4;L;5,6;36675389/100000000,36734431/100000000;10,3667538900,6048464025,6048464025,0,427718159,1053023249469;10,3673443100,6060893564,6060893564,0,0,411726755808
4;L;6,7;36734431/100000000,143641/390625;10,3673443100,6060893564,6060893564,0,0,411726755808;8,36772096,60640000,60640000,0,0,0
4;L;7,8;143641/390625,37075921/100000000;8,36772096,60640000,60640000,0,0,0;8,37075921,60890000,60890000,0,0,0
4;L;8,9;37075921/100000000,9345249/25000000;8,37075921,60890000,60890000,0,0,0;8,37380996,61140000,61140000,0,0,0
4;L;9,10;9345249/25000000,37687321/100000000;8,37380996,61140000,61140000,0,0,0;8,37687321,61390000,61390000,0,0,0
4;L;10,11;37687321/100000000,2374681/6250000;8,37687321,61390000,61390000,0,0,0;8,37994896,61640000,61640000,0,0,0
4;L;11,12;2374681/6250000,38303721/100000000;8,37994896,61640000,61640000,0,0,0;8,38303721,61890000,61890000,0,0,0
4;L;12,13;38303721/100000000,2394717/6250000;8,38303721,61890000,61890000,0,0,0;10,3831547200,6189949232,6189949232,0,0,1010525220352
5;C;0,1;754003/2000000;2,37,0,1,60,60,199;4,3770,0,46,6010,6010,3157684
6;C;0,3;36781183/100000000;2,36,0,0,60,60,0;4,3678,0,0,6039,6039,620958
6;C;3,4;36708173/100000000;4,3670,0,0,6039,6039,460958;4,3670,0,0,6045,6045,315950
6;C;4,5;36675389/100000000;4,3667,0,0,6045,6045,255950;4,3667,0,0,6049,6049,159198
6;L;5,6;36675389/100000000,36734431/100000000;4,3667,0,0,6049,6049,159198;10,3673443100,0,0,6060893564,6060893564,411726755808
7;C;0,1;754003/2000000;2,37,0,60,60,0,200;4,3770,46,6010,6010,0,3157684
8;C;0,3;36781183/100000000;2,36,0,0,60,60,0;4,3678,0,0,6039,6039,620958
8;C;3,4;36708173/100000000;4,3670,0,0,6039,6039,460958;4,3670,0,0,6045,6045,315950
8;C;4,5;36675389/100000000;4,3667,0,0,6045,6045,255950;4,3667,0,0,6049,6049,159198
8;L;5,6;36675389/100000000,36734431/100000000;4,3667,0,0,6049,6049,159198;10,3673443100,0,0,6060893564,6060893564,411726755808
9;C;1,3;36781183/100000000;4,3678,6010,6010,46,0,1317684;4,3678,6039,6039,0,0,620958
9;C;3,4;36708173/100000000;4,3670,6039,6039,0,0,460958;4,3670,6045,6045,0,0,315950
9;C;4,5;36675389/100000000;4,3667,6045,6045,0,0,255950;4,3667,6049,6049,0,0,159198
9;L;5,6;36675389/100000000,36734431/100000000;4,3667,6049,6049,0,0,159198;10,3673443100,6060893564,6060893564,0,0,411726755808
10;C;0,18;28249903/100000000;2,28,0,0,0,60,2000;2,28,0,0,0,63,1631
11;C;0,18;28249903/100000000;2,28,0,0,60,0,2000;2,28,0,0,63,0,1631
12;C;6,12;36734431/100000000;10,3673443100,6060893564,0,0,6060893564,411726755808;2,36,62,0,0,16,3100
12;C;12,18;28249903/100000000;2,28,62,0,0,16,1500;2,28,63,0,0,0,1631
13;C;0,1;754003/2000000;2,37,1,1,52,60,1094;2,37,1,1,53,61,868
14;C;0,16;630987/2000000;2,31,0,0,0,60,2600;2,31,0,0,0,63,2231
15;C;0,1;754003/2000000;2,37,0,0,60,53,991;2,37,1,1,61,53,868
16;C;0,16;630987/2000000;2,31,0,0,0,60,2600;2,31,0,0,0,63,2231
17;C;1,8;36675389/100000000;2,36,61,1,1,53,668;2,36,61,0,0,15,3254
17;C;8,16;630987/2000000;2,31,61,0,0,15,2254;2,31,63,0,0,0,2231
18;C;0,18;28249903/100000000;2,28,0,0,0,47,3391;2,28,0,0,0,49,3199
19;C;0,18;28249903/100000000;2,28,0,0,0,60,2000;2,28,0,0,0,49,3199
20;C;16,18;28249903/100000000;2,28,0,0,0,63,1631;2,28,0,0,0,49,3199
21;C;0,18;28249903/100000000;2,28,0,0,38,60,556;2,28,0,0,39,63,110
22;C;0,18;28249903/100000000;2,28,0,0,60,42,236;2,28,0,0,63,39,110
23;L;13,14;2394717/6250000,35029737/100000000;10,3831547200,6189949232,0,0,6189949232,1010525220352;8,35029737,62140000,0,0,56076446,4009084
23;L;14,15;35029737/100000000,1998397/6250000;8,35029737,62140000,0,0,56076446,4009084;8,31974352,62390000,0,0,50023577,44125071
23;L;15,16;1998397/6250000,630987/2000000;8,31974352,62390000,0,0,50023577,44125071;10,3154935000,6242735335,0,0,4911919663,761376404206
23;L;16,17;630987/2000000,7321491/25000000;10,3154935000,6242735335,0,0,4911919663,761376404206;8,29285964,62640000,0,0,43970707,125920151
23;L;17,18;7321491/25000000,28249903/100000000;8,29285964,62640000,0,0,43970707,125920151;2,28,63,0,0,39,110
24;C;0,1;754003/2000000;2,37,0,0,60,60,200;4,3770,0,0,6010,6010,3159800
25;C;0,4;36708173/100000000;2,36,0,0,60,60,0;4,3670,0,0,6045,6045,315950
26;C;0,1;754003/2000000;2,37,0,0,60,60,200;4,3770,0,0,6010,6010,3159800
27;C;0,4;36708173/100000000;2,36,0,0,60,60,0;4,3670,0,0,6045,6045,315950
28;C;1,4;36708173/100000000;4,3670,6010,6010,0,0,1159800;4,3670,6045,6045,0,0,315950
29;C;0,1;754003/2000000;2,37,0,0,36,60,2504;2,37,0,0,36,61,2383
30;C;0,29;11956619/50000000;2,23,0,0,0,60,1000;2,23,0,0,0,66,244
31;C;0,1;754003/2000000;2,37,0,0,60,37,2431;2,37,0,0,61,36,2383
32;C;0,29;11956619/50000000;2,23,0,0,0,60,1000;2,23,0,0,0,66,244
33;C;1,15;1998397/6250000;2,31,61,0,0,36,1183;2,31,63,0,0,12,2087
33;C;15,29;11956619/50000000;2,23,63,0,0,12,487;2,23,66,0,0,0,244
34;C;0,46;9853373/100000000;2,9,0,0,0,30,900;2,9,0,0,0,35,575
35;C;0,46;9853373/100000000;2,9,0,0,0,42,36;2,9,0,0,0,35,575
36;C;29,33;21194149/100000000;4,2119,0,0,0,6509,12919;2,21,0,0,0,61,479
36;C;33,35;4732169/25000000;4,1892,0,0,0,6048,1261696;2,18,0,0,0,57,351
36;C;35,37;16840837/100000000;4,1684,0,0,0,5632,1960576;2,16,0,0,0,53,391
36;C;37,39;1866329/12500000;4,1493,0,0,0,5216,2653344;2,14,0,0,0,48,496
36;C;39,41;13198061/100000000;2,13,0,0,0,48,296;2,13,0,0,0,44,664
36;C;41,46;9853373/100000000;4,985,0,0,0,4383,489311;2,9,0,0,0,35,575
37;C;0,1;754003/2000000;2,37,0,0,9,60,3719;2,37,0,0,9,61,3598
38;C;0,23;26301593/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
39;C;0,1;754003/2000000;2,37,0,0,60,9,3719;2,37,0,0,61,9,3598
40;C;0,23;26301593/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
41;C;1,23;26301593/100000000;2,26,61,0,0,9,1398;2,26,64,0,0,0,1104
42;C;0,46;9853373/100000000;2,9,0,0,0,14,1604;2,9,0,0,0,16,1544
43;C;0,23;26301593/100000000;2,26,0,0,0,49,2799;2,26,0,0,0,35,3975
43;C;23,46;9853373/100000000;2,9,0,0,0,35,575;2,9,0,0,0,16,1544
44;C;23,28;24163303/100000000;2,24,0,0,0,64,704;2,24,0,0,0,53,1991
44;C;28,34;20039209/100000000;2,20,0,0,0,53,1191;2,20,0,0,0,43,2151
44;C;34,46;9853373/100000000;4,985,0,0,0,4294,1261564;2,9,0,0,0,16,1544
45;C;0,29;11956619/50000000;2,23,0,0,22,60,516;8,23913238,0,0,23377303,65085707,48756342
46;C;0,29;11956619/50000000;2,23,0,0,19,60,639;8,23913238,0,0,23377303,65085707,48756342
47;C;4,10;36675389/100000000;4,3667,6045,0,0,6045,255950;2,36,62,0,0,53,547
47;C;10,13;37687321/100000000;2,37,62,0,0,53,747;2,37,62,0,0,49,1155
47;C;13,16;630987/2000000;4,3154,6190,0,0,4881,939739;2,31,63,0,0,45,206
47;L;16,17;630987/2000000,7321491/25000000;2,31,63,0,0,45,206;4,2928,6264,0,0,4290,918204
47;L;17,18;7321491/25000000,28249903/100000000;4,2928,6264,0,0,4290,918204;8,28249903,62848024,0,0,41232347,40167015
47;L;18,19;28249903/100000000,28138749/100000000;8,28249903,62848024,0,0,41232347,40167015;10,2813874900,6289000000,0,0,4089740447,76172240191
47;L;19,20;28138749/100000000,6875089/25000000;10,2813874900,6289000000,0,0,4089740447,76172240191;8,27500356,63140000,0,0,38902591,13486719
47;L;20,21;6875089/25000000,26902381/100000000;8,27500356,63140000,0,0,38902591,13486719;8,26902381,63390000,0,0,36907778,23102716
47;L;21,22;26902381/100000000,3293103/12500000;8,26902381,63390000,0,0,36907778,23102716;8,26344824,63640000,0,0,34912964,144734704
47;L;22,23;3293103/12500000,26301593/100000000;8,26344824,63640000,0,0,34912964,144734704;10,2630159300,6366017404,0,0,3475198954,642086406668
47;L;23,24;26301593/100000000,6456921/25000000;10,2630159300,6366017404,0,0,3475198954,642086406668;8,25827684,63890000,0,0,32918150,100577500
47;L;24,25;6456921/25000000,12675481/50000000;8,25827684,63890000,0,0,32918150,100577500;8,25350962,64140000,0,0,30923336,90631104
47;L;25,26;12675481/50000000,12457329/50000000;8,25350962,64140000,0,0,30923336,90631104;8,24914658,64390000,0,0,28928523,57038471
47;L;26,27;12457329/50000000,6129693/25000000;8,24914658,64390000,0,0,28928523,57038471;8,24518772,64640000,0,0,26933709,119503319
47;L;27,28;6129693/25000000,24163303/100000000;8,24518772,64640000,0,0,26933709,119503319;8,24163303,64890000,0,0,24938895,16178975
47;L;28,29;24163303/100000000,11956619/50000000;8,24163303,64890000,0,0,24938895,16178975;8,23913238,65085707,0,0,23377303,48756342
48;C;0,46;9853373/100000000;2,9,0,0,25,30,275;8,9853373,0,0,28368710,34145144,34155164
49;C;0,23;26301593/100000000;2,26,0,0,20,42,3036;2,26,0,0,24,39,3103
49;C;23,34;20039209/100000000;2,20,0,0,24,39,1903;2,20,0,0,26,37,1955
49;C;34,40;7021071/50000000;2,14,0,0,26,37,755;2,14,0,0,27,36,775
49;C;40,43;11643123/100000000;2,11,0,0,27,36,175;2,11,0,0,28,35,191
49;C;43,44;2733067/25000000;4,1093,0,0,2771,3473,2119830;4,1093,0,0,2796,3451,2132983
49;C;44,45;513291/5000000;4,1026,0,0,2796,3451,792983;4,1026,0,0,2821,3429,803918
49;L;45,46;513291/5000000,9853373/100000000;4,1026,0,0,2821,3429,803918;8,9853373,0,0,28368710,34145144,34155164
50;L;29,30;11956619/50000000,2954657/12500000;8,23913238,23377303,0,0,65085707,48756342;10,2363725600,2345019093,0,0,6463389004,36437345335
50;L;30,31;2954657/12500000,22393499/100000000;10,2363725600,2345019093,0,0,6463389004,36437345335;8,22393499,23785812,0,0,62553456,89956720
50;L;31,32;22393499/100000000,21978323/100000000;8,22393499,23785812,0,0,62553456,89956720;10,2197832300,2390059437,0,0,6184194435,1077722273806
50;L;32,33;21978323/100000000,21194149/100000000;10,2197832300,2390059437,0,0,6184194435,1077722273806;10,2119414900,2412143237,0,0,6047302116,122017084375
50;L;33,34;21194149/100000000,20039209/100000000;10,2119414900,2412143237,0,0,6047302116,122017084375;8,20039209,24457054,0,0,58392587,93088515
50;L;34,35;20039209/100000000,4732169/25000000;8,20039209,24457054,0,0,58392587,93088515;10,1892867600,2479267382,0,0,5631215227,315754204547
50;L;35,36;4732169/25000000,17862553/100000000;10,1892867600,2479267382,0,0,5631215227,315754204547;8,17862553,25128295,0,0,54231718,153161451
50;L;36,37;17862553/100000000,16840837/100000000;8,17862553,25128295,0,0,54231718,153161451;10,1684083700,2546391526,0,0,5215128338,614504749080
50;L;37,38;16840837/100000000,1586353/10000000;10,1684083700,2546391526,0,0,5215128338,614504749080;8,15863530,25799536,0,0,50070849,22603903
50;L;38,39;1586353/10000000,1866329/12500000;8,15863530,25799536,0,0,50070849,22603903;8,14930632,26135157,0,0,47990415,36713126
50;L;39,40;1866329/12500000,7021071/50000000;8,14930632,26135157,0,0,47990415,36713126;10,1404214200,2647077743,0,0,4590998004,749782041935
50;L;40,41;7021071/50000000,13198061/100000000;10,1404214200,2647077743,0,0,4590998004,749782041935;8,13198061,26806399,0,0,43829546,70086683
50;L;41,42;13198061/100000000,3099597/25000000;8,13198061,26806399,0,0,43829546,70086683;8,12398388,27142019,0,0,41749112,51815095
50;L;42,43;3099597/25000000,11643123/100000000;8,12398388,27142019,0,0,41749112,51815095;10,1164312300,2747763959,0,0,3966867671,106395682078
50;L;43,44;11643123/100000000,2733067/25000000;10,1164312300,2747763959,0,0,3966867671,106395682078;8,10932268,27813261,0,0,37588243,100718830
50;L;44,45;2733067/25000000,513291/5000000;8,10932268,27813261,0,0,37588243,100718830;8,10265820,28148882,0,0,35507808,13185212
50;L;45,46;513291/5000000,9853373/100000000;8,10265820,28148882,0,0,35507808,13185212;8,9853373,28368710,0,0,34145144,34155164
51;C;0,1;754003/2000000;2,37,0,0,0,60,3800;2,37,0,0,0,61,3679
52;C;0,5;36675389/100000000;2,36,0,0,0,60,3600;2,36,0,0,0,61,3479
53;C;0,1;754003/2000000;2,37,0,0,60,0,3800;2,37,0,0,61,0,3679
54;C;0,5;36675389/100000000;2,36,0,0,0,60,3600;2,36,0,0,0,61,3479
55;C;1,5;36675389/100000000;2,36,61,0,0,0,3479;2,36,61,0,0,0,3479
56;C;0,32;21978323/100000000;2,21,0,0,0,24,3624;2,21,0,0,0,26,3524
57;C;0,32;21978323/100000000;2,21,0,0,0,31,3239;2,21,0,0,0,26,3524
58;C;5,32;21978323/100000000;2,21,0,0,0,61,479;2,21,0,0,0,26,3524
59;C;0,1;754003/2000000;2,37,0,0,0,54,4484;2,37,0,0,0,54,4484
60;C;0,32;21978323/100000000;2,21,0,0,0,11,4079;2,21,0,0,0,12,4056
61;C;0,1;754003/2000000;2,37,0,0,0,55,4375;2,37,0,0,0,54,4484
62;C;0,32;21978323/100000000;2,21,0,0,0,33,3111;2,21,0,0,0,12,4056
63;C;1,32;21978323/100000000;2,21,0,0,0,54,1284;2,21,0,0,0,12,4056
64;C;0,1;754003/2000000;2,37,0,0,20,60,3400;2,37,0,0,20,61,3279
65;C;0,5;36675389/100000000;2,36,0,0,17,60,3311;2,36,0,0,17,61,3190
66;C;0,1;754003/2000000;2,37,0,0,60,20,3400;2,37,0,0,61,20,3279
67;C;0,5;36675389/100000000;2,36,0,0,16,60,3344;2,36,0,0,17,61,3190
68;C;1,5;36675389/100000000;2,36,61,0,0,20,3079;2,36,61,0,0,17,3190
69;C;0,32;21978323/100000000;2,21,0,0,20,24,3224;2,21,0,0,21,26,3083
70;C;0,32;21978323/100000000;2,21,0,0,16,31,2983;2,21,0,0,21,26,3083
71;C;5,32;21978323/100000000;2,21,17,0,0,61,190;2,21,21,0,0,26,3083
MASS SLACK NUMERATOR 3818221409817757232301628189906854463045635190296531811188050123679521238983970407491850121409041235062983517536939
BIN 28: PATH2; (109/84,73/56]; gamma0=1499/2500; mass ceiling=24884323/25000000.
GAMMA 0=1499/2500;1=98476087500/163680644567;2=6021/10000;3=96227775000/159184019567;4=3023/5000;5=24244303125/40081915298;6=330052275000/544066932293;7=6071/10000;8=381/625;9=6121/10000;10=3073/5000;11=6171/10000;12=1549/2500;13=116912250000/188652099109;14=6221/10000;15=3123/5000;16=105520800000/168910716259;17=6271/10000;18=787/1250;19=48113887500/76402951967;20=6321/10000;21=3173/5000;22=77941500000/122611469567;23=6371/10000;24=1599/2500;25=6421/10000;26=3223/5000;27=6471/10000;28=406/625;29=71796112500/110320694567;30=6521/10000;31=3273/5000;32=39795131250/60716527021;33=6571/10000;34=1649/2500;35=6621/10000;36=3323/5000;37=6671/10000;38=837/1250;39=6721/10000;40=3373/5000;41=6771/10000;42=1699/2500;43=6821/10000;44=3423/5000;45=6871/10000;46=60704437500/88137344567;47=431/625;48=6921/10000;49=3473/5000;50=6971/10000;51=1749/2500;52=7021/10000;53=3523/5000;54=7071/10000;55=887/1250;56=7121/10000;57=3573/5000;58=7171/10000;59=1799/2500;60=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37675919,37923132;1,2,37923132,37669110;2,3,37669110,36844243;3,4,36844243,36828813;4,5,36828813,36791368;5,6,36791368,36801100;6,7,36801100,36857041;7,8,36857041,37161216;8,9,37161216,37466641;9,10,37466641,37773316;10,11,37773316,38081241;11,12,38081241,38390416;12,13,38390416,38405795;13,14,38405795,35168384;14,15,35168384,32116576;15,16,32116576,31986688;16,17,31986688,29428481;17,18,29428481,27914046;18,19,27914046,27877912;19,20,27877912,27281693;20,21,27281693,26690528;21,22,26690528,26448171;22,23,26448171,26140551;23,24,26140551,25631764;24,25,25631764,25164165;25,26,25164165,24737754;26,27,24737754,24352533;27,28,24352533,24008500;28,29,24008500,23858650;29,30,23858650,23191060;30,31,23191060,21947100;31,32,21947100,21546545;32,33,21546545,20748544;33,34,20748544,19595393;34,35,19595393,18487646;35,36,18487646,17425304;36,37,17425304,16408366;37,38,16408366,15436833;38,39,15436833,14510704;39,40,14510704,13629980;40,41,13629980,12794660;41,42,12794660,12004745;42,43,12004745,11260234;43,44,11260234,10561128;44,45,10561128,9907426;45,46,9907426,9501288;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;141861221417/37771650000,1/3,163680644567/75543300000;-182404536205933
2;0,3,6;71/168,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;71/168,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;181/84,5/3,107/168;-11
10;0,6;1/3,1;-1
11;2,3,7;311/168,4/3,107/168;-5
14;0,6;1/3,1;-1
15;2,3,10;311/168,4/3,107/168;-5
18;1,4,8;120041798267/25181100000,1,163680644567/75543300000;-150928161205933
20;0,3,8;89/84,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;54583528817/12590550000,5,163680644567/75543300000;-9284473705933
26;0,8;1/3,1;-1
27;2,3,10;311/168,4/3,107/168;-5
29;1,3,9;11/28,3,73/56;-11
30;1,4,11;120041798267/25181100000,1,163680644567/75543300000;-150928161205933
32;0,3,11;89/84,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;54583528817/12590550000,5,163680644567/75543300000;-9284473705933
38;0,11;1/3,1;-1
39;2,3,7;311/168,4/3,107/168;-5
41;1,3,12;11/28,3,73/56;-11
42;1,4,14;141861221417/37771650000,1/3,163680644567/75543300000;-182404536205933
43;0,3,14;71/168,3,1;-2
45;0,3,14;71/168,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;311/168,4/3,107/168;-5
56;2,3,7;311/168,4/3,107/168;-5
58;2,3,10;311/168,4/3,107/168;-5
60;0,1,6;2/3,2,1;-1
62;0,3,6;71/168,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
66;0,3,6;71/168,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;265/84,5/3,45/56;-5
70;0,6;1/3,1;-1
72;1,4,6;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
80;0,3,8;89/84,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;62956244567/12590550000,4,163680644567/75543300000;-56499036205933
84;1,4,8;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
86;0,8;1/3,1;-1
89;1,3,9;11/28,3,73/56;-11
90;1,11;3,1;-2
91;1,4,11;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
92;0,3,11;89/84,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;62956244567/12590550000,4,163680644567/75543300000;-56499036205933
96;1,4,11;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
98;0,11;1/3,1;-1
101;1,3,12;11/28,3,73/56;-11
102;0,1,14;2/3,2,1;-1
103;0,3,14;71/168,3,1;-2
104;1,4,14;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
105;0,3,14;71/168,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;62956244567/15108660000,10/3,163680644567/75543300000;-35514786205933
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;265/84,5/3,45/56;-5
120;0,1,6;5/3,2,1;-1
121;1,4,6;23316998423/4721456250,5/3,163680644567/75543300000;-87975411205933
122;0,3,6;71/168,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
126;0,3,6;71/168,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;349/84,13/6,59/56;-5
130;0,6;1/3,1;-1
132;1,4,6;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
134;0,6;1/3,1;-1
136;1,4,6;59793215809/18885825000,19/3,163680644567/75543300000;-6136836205933
138;0,1,8;1,3,1;-2
139;1,4,8;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
140;0,3,8;89/84,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;79185463517/12590550000,3,163680644567/75543300000;-103713598705933
143;1,4,8;59793215809/18885825000,19/3,163680644567/75543300000;-6136836205933
144;1,4,8;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
146;0,8;1/3,1;-1
148;1,4,8;59793215809/18885825000,19/3,163680644567/75543300000;-6136836205933
149;1,3,9;11/28,3,73/56;-11
150;0,1,11;1,3,1;-2
151;1,4,11;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
152;0,3,11;89/84,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;79185463517/12590550000,3,163680644567/75543300000;-103713598705933
155;1,4,11;59793215809/18885825000,19/3,163680644567/75543300000;-6136836205933
156;1,4,11;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
158;0,11;1/3,1;-1
160;1,4,11;59793215809/18885825000,19/3,163680644567/75543300000;-6136836205933
161;1,3,12;11/28,3,73/56;-11
162;0,1,14;5/3,2,1;-1
163;0,3,14;71/168,3,1;-2
164;1,4,14;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
165;0,3,14;71/168,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;84818475587/15108660000,7/3,163680644567/75543300000;-98467536205933
169;0,14;1/3,1;-1
170;1,4,14;59793215809/18885825000,19/3,163680644567/75543300000;-6136836205933
171;1,4,14;23316998423/4721456250,5/3,163680644567/75543300000;-87975411205933
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;349/84,13/6,59/56;-5
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;46644222467752,173205058087996400025000,199313697147789,2492
4;1,4,6,3;46644222467752,1243652598170604960660000,804245903394612,3976
5;5,4,2,3;804245903394612,2337699883078006787340000,967124550246456,25704
12;1,4,6,3;46644222467752,1243652598170604960660000,804245903394612,3976
13;5,4,2,3;804245903394612,2337699883078006787340000,967124550246456,25704
16;1,4,6,3;46644222467752,6553991645417927001375000,668104688648817,2135
17;5,4,2,3;668104688648817,114549610670847473625000,967124550246456,651
19;1,4,8,3;46644222467752,1243652598170604960660000,804245903394612,3976
23;7,4,8,3;804245903394612,1595867917034471975055000,668104688648817,8337
24;1,4,8,3;46644222467752,1243652598170604960660000,804245903394612,3976
25;7,4,2,3;199313697147789,379584308064794494725000,967124550246456,1932
28;7,4,8,3;804245903394612,1595867917034471975055000,668104688648817,8337
31;1,4,11,3;46644222467752,1243652598170604960660000,804245903394612,3976
35;10,4,11,3;804245903394612,1595867917034471975055000,668104688648817,8337
36;1,4,11,3;46644222467752,1243652598170604960660000,804245903394612,3976
37;10,4,2,3;199313697147789,379584308064794494725000,967124550246456,1932
40;10,4,11,3;804245903394612,1595867917034471975055000,668104688648817,8337
44;1,4,14,3;46644222467752,1243652598170604960660000,804245903394612,3976
48;1,4,14,3;46644222467752,1243652598170604960660000,804245903394612,3976
50;1,4,14,3;46644222467752,6553991645417927001375000,668104688648817,2135
51;1,4,14,3;46644222467752,173205058087996400025000,199313697147789,2492
53;13,4,2,3;804245903394612,2337699883078006787340000,967124550246456,25704
57;13,4,2,3;804245903394612,2337699883078006787340000,967124550246456,25704
59;13,4,2,3;668104688648817,114549610670847473625000,967124550246456,651
61;1,4,6,3;46644222467752,243767418629670800550000,41004435550407,140
65;1,4,9,3;46644222467752,277128092940794240040000,7116258287409768,9968
71;7,4,2,3;7116258287409768,663287307399719359560000,1100019997667752,4144
73;1,4,12,3;46644222467752,277128092940794240040000,7116258287409768,9968
75;10,4,2,3;7116258287409768,663287307399719359560000,1100019997667752,4144
76;1,4,6,3;46644222467752,135783990277803500062500,696726898501221,959
77;5,4,2,3;696726898501221,293314780456592749312500,1100019997667752,161
83;1,4,8,3;46644222467752,135783990277803500062500,696726898501221,959
85;7,4,12,3;41004435550407,1093745909287043839890000,7116258287409768,13692
87;10,4,2,3;7116258287409768,663287307399719359560000,1100019997667752,4144
88;1,4,8,3;46644222467752,135783990277803500062500,696726898501221,959
95;1,4,11,3;46644222467752,135783990277803500062500,696726898501221,959
97;10,4,9,3;41004435550407,1093745909287043839890000,7116258287409768,13692
99;7,4,2,3;7116258287409768,663287307399719359560000,1100019997667752,4144
100;1,4,11,3;46644222467752,135783990277803500062500,696726898501221,959
110;1,4,14,3;46644222467752,135783990277803500062500,696726898501221,959
111;1,4,14,3;46644222467752,243767418629670800550000,41004435550407,140
113;1,4,9,3;46644222467752,277128092940794240040000,7116258287409768,9968
116;7,4,2,3;7116258287409768,663287307399719359560000,1100019997667752,4144
117;1,4,12,3;46644222467752,277128092940794240040000,7116258287409768,9968
118;10,4,2,3;7116258287409768,663287307399719359560000,1100019997667752,4144
119;13,4,2,3;696726898501221,293314780456592749312500,1100019997667752,161
125;1,4,9,3;46644222467752,195013934903736640440000,1064381030088768,560
131;7,4,2,3;1064381030088768,42885090887655786840000,474530230749176,6496
133;1,4,12,3;46644222467752,195013934903736640440000,1064381030088768,560
135;10,4,2,3;1064381030088768,42885090887655786840000,474530230749176,6496
137;1,4,2,3;46644222467752,1783371929653125000000000,474530230749176,784
145;1,4,12,3;46644222467752,195013934903736640440000,1064381030088768,560
147;10,4,2,3;1064381030088768,42885090887655786840000,474530230749176,6496
157;1,4,9,3;46644222467752,195013934903736640440000,1064381030088768,560
159;7,4,2,3;1064381030088768,42885090887655786840000,474530230749176,6496
173;1,4,9,3;46644222467752,195013934903736640440000,1064381030088768,560
176;7,4,2,3;1064381030088768,42885090887655786840000,474530230749176,6496
177;1,4,12,3;46644222467752,195013934903736640440000,1064381030088768,560
178;10,4,2,3;1064381030088768,42885090887655786840000,474530230749176,6496
179;1,4,2,3;46644222467752,1783371929653125000000000,474530230749176,784
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/19;E/4,5/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/19;E/4,5/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
16:V/3,1/13/0/1;V/6,3/14/0/16;E/4,1/15/0/1;E/4,6/16/0/16;E/4,3/17/1/16
17:V/3,5/14/0/16;V/2,3/18/0/19;E/4,5/16/0/16;E/4,2/19/0/19;E/4,3/20/16/19
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/16;E/4,7/8/0/6;E/4,8/16/0/16;E/4,3/12/6/16
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/13;V/2,3/21/0/19;E/4,7/3/0/13;E/4,2/22/0/19;E/4,3/23/13/19
28:V/3,7/6/0/6;V/8,3/14/0/16;E/4,7/8/0/6;E/4,8/16/0/16;E/4,3/12/6/16
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/16;E/4,10/8/0/6;E/4,11/16/0/16;E/4,3/12/6/16
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/13;V/2,3/21/0/19;E/4,10/3/0/13;E/4,2/22/0/19;E/4,3/23/13/19
40:V/3,10/6/0/6;V/11,3/14/0/16;E/4,10/8/0/6;E/4,11/16/0/16;E/4,3/12/6/16
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/16;E/4,1/15/0/1;E/4,14/16/0/16;E/4,3/17/1/16
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/6;V/2,3/10/0/19;E/4,13/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
57:V/3,13/6/0/6;V/2,3/10/0/19;E/4,13/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
59:V/3,13/14/0/16;V/2,3/18/0/19;E/4,13/16/0/16;E/4,2/19/0/19;E/4,3/20/16/19
61:V/3,1/24/0/1;V/6,3/25/0/3;E/4,1/26/0/1;E/4,6/27/0/3;E/4,3/28/1/3
65:V/3,1/29/0/1;V/9,3/30/0/29;E/4,1/31/0/1;E/4,9/32/0/29;E/4,3/33/1/29
71:V/3,7/30/0/29;V/2,3/34/0/46;E/4,7/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
73:V/3,1/29/0/1;V/12,3/30/0/29;E/4,1/31/0/1;E/4,12/32/0/29;E/4,3/33/1/29
75:V/3,10/30/0/29;V/2,3/34/0/46;E/4,10/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
76:V/3,1/37/0/1;V/6,3/38/0/22;E/4,1/39/0/1;E/4,6/40/0/22;E/4,3/41/1/22
77:V/3,5/38/0/22;V/2,3/42/0/46;E/4,5/40/0/22;E/4,2/43/0/46;E/4,3/44/22/46
83:V/3,1/29/0/1;V/8,3/38/0/22;E/4,1/31/0/1;E/4,8/40/0/22;E/4,3/33/1/22
85:V/3,7/25/0/3;V/12,3/45/0/29;E/4,7/27/0/3;E/4,12/46/0/29;E/4,3/47/3/29
87:V/3,10/45/0/29;V/2,3/48/0/46;E/4,10/46/0/29;E/4,2/49/0/46;E/4,3/50/29/46
88:V/3,1/29/0/1;V/8,3/38/0/22;E/4,1/31/0/1;E/4,8/40/0/22;E/4,3/33/1/22
95:V/3,1/29/0/1;V/11,3/38/0/22;E/4,1/31/0/1;E/4,11/40/0/22;E/4,3/33/1/22
97:V/3,10/25/0/3;V/9,3/45/0/29;E/4,10/27/0/3;E/4,9/46/0/29;E/4,3/47/3/29
99:V/3,7/45/0/29;V/2,3/48/0/46;E/4,7/46/0/29;E/4,2/49/0/46;E/4,3/50/29/46
100:V/3,1/29/0/1;V/11,3/38/0/22;E/4,1/31/0/1;E/4,11/40/0/22;E/4,3/33/1/22
110:V/3,1/37/0/1;V/14,3/38/0/22;E/4,1/39/0/1;E/4,14/40/0/22;E/4,3/41/1/22
111:V/3,1/24/0/1;V/14,3/25/0/3;E/4,1/26/0/1;E/4,14/27/0/3;E/4,3/28/1/3
113:V/3,1/29/0/1;V/9,3/30/0/29;E/4,1/31/0/1;E/4,9/32/0/29;E/4,3/33/1/29
116:V/3,7/30/0/29;V/2,3/34/0/46;E/4,7/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
117:V/3,1/29/0/1;V/12,3/30/0/29;E/4,1/31/0/1;E/4,12/32/0/29;E/4,3/33/1/29
118:V/3,10/30/0/29;V/2,3/34/0/46;E/4,10/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
119:V/3,13/38/0/22;V/2,3/42/0/46;E/4,13/40/0/22;E/4,2/43/0/46;E/4,3/44/22/46
125:V/3,1/51/0/1;V/9,3/52/0/5;E/4,1/53/0/1;E/4,9/54/0/5;E/4,3/55/1/5
131:V/3,7/52/0/5;V/2,3/56/0/32;E/4,7/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
133:V/3,1/51/0/1;V/12,3/52/0/5;E/4,1/53/0/1;E/4,12/54/0/5;E/4,3/55/1/5
135:V/3,10/52/0/5;V/2,3/56/0/32;E/4,10/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
137:V/3,1/59/0/1;V/2,3/60/0/32;E/4,1/61/0/1;E/4,2/62/0/32;E/4,3/63/1/32
145:V/3,1/64/0/1;V/12,3/65/0/5;E/4,1/66/0/1;E/4,12/67/0/5;E/4,3/68/1/5
147:V/3,10/65/0/5;V/2,3/69/0/32;E/4,10/67/0/5;E/4,2/70/0/32;E/4,3/71/5/32
157:V/3,1/64/0/1;V/9,3/65/0/5;E/4,1/66/0/1;E/4,9/67/0/5;E/4,3/68/1/5
159:V/3,7/65/0/5;V/2,3/69/0/32;E/4,7/67/0/5;E/4,2/70/0/32;E/4,3/71/5/32
173:V/3,1/51/0/1;V/9,3/52/0/5;E/4,1/53/0/1;E/4,9/54/0/5;E/4,3/55/1/5
176:V/3,7/52/0/5;V/2,3/56/0/32;E/4,7/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
177:V/3,1/51/0/1;V/12,3/52/0/5;E/4,1/53/0/1;E/4,12/54/0/5;E/4,3/55/1/5
178:V/3,10/52/0/5;V/2,3/56/0/32;E/4,10/54/0/5;E/4,2/57/0/32;E/4,3/58/5/32
179:V/3,1/59/0/1;V/2,3/60/0/32;E/4,1/61/0/1;E/4,2/62/0/32;E/4,3/63/1/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37675919/100000000,9480783/25000000;4,3767,0,1852,5996,5996,6064;10,3792313200,0,1858280577,6016355066,6016355066,736776818359
1;C;0,3;36844243/100000000;2,36,0,0,60,60,0;4,3684,0,0,6046,6046,571768
1;C;3,4;36828813/100000000;4,3682,0,0,6046,6046,531768;4,3682,0,0,6046,6046,531768
1;C;4,5;4598921/12500000;4,3679,0,0,6046,6046,471768;4,3679,0,0,6049,6049,399198
1;L;5,6;4598921/12500000,368011/1000000;4,3679,0,0,6049,6049,399198;10,3680110000,0,0,6066391016,6066391016,81988975488
1;L;6,7;368011/1000000,36857041/100000000;10,3680110000,0,0,6066391016,6066391016,81988975488;8,36857041,0,0,60710000,60710000,0
1;L;7,8;36857041/100000000,145161/390625;8,36857041,0,0,60710000,60710000,0;8,37161216,0,0,60960000,60960000,0
1;L;8,9;145161/390625,37466641/100000000;8,37161216,0,0,60960000,60960000,0;8,37466641,0,0,61210000,61210000,0
1;L;9,10;37466641/100000000,9443329/25000000;8,37466641,0,0,61210000,61210000,0;8,37773316,0,0,61460000,61460000,0
1;L;10,11;9443329/25000000,38081241/100000000;8,37773316,0,0,61460000,61460000,0;8,38081241,0,0,61710000,61710000,0
1;L;11,12;38081241/100000000,2399401/6250000;8,38081241,0,0,61710000,61710000,0;8,38390416,0,0,61960000,61960000,0
1;L;12,13;2399401/6250000,7681159/20000000;8,38390416,0,0,61960000,61960000,0;8,38405795,0,0,61972409,61972409,45473438
2;L;0,1;37675919/100000000,9480783/25000000;8,37675919,0,59960000,59960000,18568267,60616711;10,3792313200,0,6016355066,6016355066,1858280577,736776818359
3;C;0,3;36844243/100000000;2,36,0,0,60,60,0;4,3684,0,0,6046,6046,571768
3;C;3,4;36828813/100000000;4,3682,0,0,6046,6046,531768;4,3682,0,0,6046,6046,531768
3;C;4,5;4598921/12500000;4,3679,0,0,6046,6046,471768;4,3679,0,0,6049,6049,399198
3;L;5,6;4598921/12500000,368011/1000000;4,3679,0,0,6049,6049,399198;10,3680110000,0,0,6066391016,6066391016,81988975488
3;L;6,7;368011/1000000,36857041/100000000;10,3680110000,0,0,6066391016,6066391016,81988975488;8,36857041,0,0,60710000,60710000,0
3;L;7,8;36857041/100000000,145161/390625;8,36857041,0,0,60710000,60710000,0;8,37161216,0,0,60960000,60960000,0
3;L;8,9;145161/390625,37466641/100000000;8,37161216,0,0,60960000,60960000,0;8,37466641,0,0,61210000,61210000,0
3;L;9,10;37466641/100000000,9443329/25000000;8,37466641,0,0,61210000,61210000,0;8,37773316,0,0,61460000,61460000,0
3;L;10,11;9443329/25000000,38081241/100000000;8,37773316,0,0,61460000,61460000,0;8,38081241,0,0,61710000,61710000,0
3;L;11,12;38081241/100000000,2399401/6250000;8,38081241,0,0,61710000,61710000,0;8,38390416,0,0,61960000,61960000,0
3;L;12,13;2399401/6250000,7681159/20000000;8,38390416,0,0,61960000,61960000,0;8,38405795,0,0,61972409,61972409,45473438
4;L;1,2;9480783/25000000,3766911/10000000;10,3792313200,6016355066,6016355066,0,1858280577,736776818359;8,37669110,60210000,60210000,0,16832519,104114639
4;L;2,3;3766911/10000000,36844243/100000000;8,37669110,60210000,60210000,0,16832519,104114639;10,3684424300,6045065030,6045065030,0,776442137,1174033071431
4;L;3,4;36844243/100000000,36828813/100000000;10,3684424300,6045065030,6045065030,0,776442137,1174033071431;8,36828813,60460000,60460000,0,7412110,25347900
4;L;4,5;36828813/100000000,4598921/12500000;8,36828813,60460000,60460000,0,7412110,25347900;8,36791368,60486888,60486888,0,6398934,3814556
4;L;5,6;4598921/12500000,368011/1000000;8,36791368,60486888,60486888,0,6398934,3814556;10,3680110000,6066391016,6066391016,0,0,81988975488
4;L;6,7;368011/1000000,36857041/100000000;10,3680110000,6066391016,6066391016,0,0,81988975488;8,36857041,60710000,60710000,0,0,0
4;L;7,8;36857041/100000000,145161/390625;8,36857041,60710000,60710000,0,0,0;8,37161216,60960000,60960000,0,0,0
4;L;8,9;145161/390625,37466641/100000000;8,37161216,60960000,60960000,0,0,0;8,37466641,61210000,61210000,0,0,0
4;L;9,10;37466641/100000000,9443329/25000000;8,37466641,61210000,61210000,0,0,0;8,37773316,61460000,61460000,0,0,0
4;L;10,11;9443329/25000000,38081241/100000000;8,37773316,61460000,61460000,0,0,0;8,38081241,61710000,61710000,0,0,0
4;L;11,12;38081241/100000000,2399401/6250000;8,38081241,61710000,61710000,0,0,0;8,38390416,61960000,61960000,0,0,0
4;L;12,13;2399401/6250000,7681159/20000000;8,38390416,61960000,61960000,0,0,0;8,38405795,61972409,61972409,0,0,45473438
5;C;0,1;37675919/100000000;2,37,0,1,60,60,199;4,3767,0,48,6017,6017,2929118
6;C;0,3;36844243/100000000;2,36,0,0,60,60,0;4,3684,0,0,6046,6046,571768
6;C;3,4;36828813/100000000;4,3682,0,0,6046,6046,531768;4,3682,0,0,6046,6046,531768
6;C;4,5;4598921/12500000;4,3679,0,0,6046,6046,471768;4,3679,0,0,6049,6049,399198
6;L;5,6;4598921/12500000,368011/1000000;4,3679,0,0,6049,6049,399198;10,3680110000,0,0,6066391016,6066391016,81988975488
7;C;0,1;37675919/100000000;2,37,0,60,60,0,200;4,3767,48,6017,6017,0,2929118
8;C;0,3;36844243/100000000;2,36,0,0,60,60,0;4,3684,0,0,6046,6046,571768
8;C;3,4;36828813/100000000;4,3682,0,0,6046,6046,531768;4,3682,0,0,6046,6046,531768
8;C;4,5;4598921/12500000;4,3679,0,0,6046,6046,471768;4,3679,0,0,6049,6049,399198
8;L;5,6;4598921/12500000,368011/1000000;4,3679,0,0,6049,6049,399198;10,3680110000,0,0,6066391016,6066391016,81988975488
9;C;1,3;36844243/100000000;4,3684,6017,6017,48,0,1269118;4,3684,6046,6046,5,0,571743
9;C;3,4;36828813/100000000;4,3682,6046,6046,5,0,531743;4,3682,6046,6046,4,0,531752
9;C;4,5;4598921/12500000;4,3679,6046,6046,4,0,471752;4,3679,6049,6049,0,0,399198
9;L;5,6;4598921/12500000,368011/1000000;4,3679,6049,6049,0,0,399198;10,3680110000,6066391016,6066391016,0,0,81988975488
10;C;0,19;3484739/12500000;2,27,0,0,0,60,1800;2,27,0,0,0,63,1431
11;C;0,19;3484739/12500000;2,27,0,0,60,0,1800;2,27,0,0,63,0,1431
12;C;6,12;368011/1000000;10,3680110000,6066391016,0,0,6066391016,81988975488;2,36,62,0,0,16,3100
12;C;12,19;3484739/12500000;2,27,62,0,0,16,1300;2,27,63,0,0,0,1431
13;C;0,1;37675919/100000000;2,37,1,1,51,60,1197;2,37,1,1,51,61,1076
14;C;0,16;124948/390625;2,31,0,0,0,60,2600;2,31,0,0,0,63,2231
15;C;0,1;37675919/100000000;2,37,0,0,60,52,1096;2,37,1,1,61,51,1076
16;C;0,16;124948/390625;2,31,0,0,0,60,2600;2,31,0,0,0,63,2231
17;C;1,16;124948/390625;4,3198,6017,48,48,5099,1751302;2,31,63,0,0,0,2231
18;C;0,19;3484739/12500000;2,27,0,0,0,44,3464;2,27,0,0,0,47,3191
19;C;0,19;3484739/12500000;2,27,0,0,0,58,2036;2,27,0,0,0,47,3191
20;C;16,19;3484739/12500000;2,27,0,0,0,63,1431;2,27,0,0,0,47,3191
21;C;0,19;3484739/12500000;2,27,0,0,37,60,431;4,2787,0,0,3784,6298,1756540
22;C;0,19;3484739/12500000;2,27,0,0,60,41,119;4,2787,0,0,6298,3784,1756540
23;L;13,14;7681159/20000000,274753/781250;8,38405795,61972409,0,0,61972409,45473438;8,35168384,62210000,0,0,56245823,95052671
23;L;14,15;274753/781250,1003643/3125000;8,35168384,62210000,0,0,56245823,95052671;10,3211657600,6246000000,0,0,5022015121,124447355359
23;L;15,16;1003643/3125000,124948/390625;10,3211657600,6246000000,0,0,5022015121,124447355359;8,31986688,62471348,0,0,49946654,33267180
23;L;16,17;124948/390625,29428481/100000000;8,31986688,62471348,0,0,49946654,33267180;10,2942848100,6271000000,0,0,4419448018,216195871676
23;L;17,18;29428481/100000000,13957023/50000000;10,2942848100,6271000000,0,0,4419448018,216195871676;4,2791,6296,0,0,3817,1610895
23;C;18,19;3484739/12500000;4,2787,6296,0,0,3817,1530895;4,2787,6298,0,0,3784,1756540
24;C;0,1;37675919/100000000;2,37,0,0,60,60,200;4,3767,0,0,6017,6017,2931422
25;C;0,3;36844243/100000000;2,36,0,0,60,60,0;4,3684,0,0,6046,6046,571768
26;C;0,1;37675919/100000000;2,37,0,0,60,60,200;4,3767,0,0,6017,6017,2931422
27;C;0,3;36844243/100000000;2,36,0,0,60,60,0;4,3684,0,0,6046,6046,571768
28;C;1,3;36844243/100000000;4,3684,6017,6017,0,0,1271422;4,3684,6046,6046,0,0,571768
29;C;0,1;37675919/100000000;2,37,0,0,35,60,2575;2,37,0,0,35,61,2454
30;C;0,29;477173/2000000;2,23,0,0,0,60,1000;2,23,0,0,0,66,244
31;C;0,1;37675919/100000000;2,37,0,0,60,36,2504;2,37,0,0,61,35,2454
32;C;0,29;477173/2000000;2,23,0,0,0,60,1000;2,23,0,0,0,66,244
33;C;1,15;1003643/3125000;2,32,61,0,0,35,1454;2,32,63,0,0,11,2310
33;C;15,29;477173/2000000;2,23,63,0,0,11,510;2,23,66,0,0,0,244
34;C;0,46;1187661/12500000;2,9,0,0,0,29,959;2,9,0,0,0,34,644
35;C;0,46;1187661/12500000;2,9,0,0,0,42,36;2,9,0,0,0,34,644
36;C;29,31;219471/1000000;4,2194,0,0,0,6508,1525936;2,21,0,0,0,62,356
36;C;31,33;81049/390625;2,20,0,0,0,62,156;2,20,0,0,0,60,400
36;C;33,35;9243823/50000000;2,18,0,0,0,60,0;2,18,0,0,0,56,464
36;C;35,37;8204183/50000000;2,16,0,0,0,56,64;2,16,0,0,0,52,496
36;C;37,39;906919/6250000;2,14,0,0,0,52,96;2,14,0,0,0,48,496
36;C;39,41;639733/5000000;2,12,0,0,0,48,96;2,12,0,0,0,43,551
36;C;41,46;1187661/12500000;4,950,0,0,0,4295,552975;2,9,0,0,0,34,644
37;C;0,1;37675919/100000000;2,37,0,0,8,60,3736;2,37,0,0,8,61,3615
38;C;0,22;26448171/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
39;C;0,1;37675919/100000000;2,37,0,0,60,8,3736;2,37,0,0,61,8,3615
40;C;0,22;26448171/100000000;2,26,0,0,0,60,1600;2,26,0,0,0,64,1104
41;C;1,22;26448171/100000000;2,26,61,0,0,8,1415;2,26,64,0,0,0,1104
42;C;0,46;1187661/12500000;2,9,0,0,0,12,1656;2,9,0,0,0,14,1604
43;C;0,23;26140551/100000000;2,26,0,0,0,47,2991;2,26,0,0,0,33,4111
43;C;23,46;1187661/12500000;2,9,0,0,0,33,711;2,9,0,0,0,14,1604
44;C;22,28;48017/200000;2,24,0,0,0,64,704;2,24,0,0,0,51,2199
44;C;28,34;19595393/100000000;2,19,0,0,0,51,1199;2,19,0,0,0,41,2119
44;C;34,46;1187661/12500000;2,9,0,0,0,41,119;2,9,0,0,0,14,1604
45;C;0,29;477173/2000000;2,23,0,0,22,60,516;8,23858650,0,0,23160175,65079461,49918854
46;C;0,29;477173/2000000;2,23,0,0,19,60,639;8,23858650,0,0,23160175,65079461,49918854
47;C;3,9;4598921/12500000;4,3679,6046,0,0,6046,471768;2,36,62,0,0,55,331
47;C;9,12;37466641/100000000;2,37,62,0,0,55,531;2,37,62,0,0,49,1155
47;C;12,16;124948/390625;4,3198,6196,0,0,4830,2240684;2,31,63,0,0,45,206
47;C;16,17;29428481/100000000;4,2942,6248,0,0,4418,283772;4,2942,6271,0,0,4225,1663934
47;L;17,18;29428481/100000000,13957023/50000000;4,2942,6271,0,0,4225,1663934;8,27914046,62960000,0,0,40234905,19640975
47;L;18,19;13957023/50000000,3484739/12500000;8,27914046,62960000,0,0,40234905,19640975;8,27877912,62973860,0,0,40123252,5644896
47;L;19,20;3484739/12500000,27281693/100000000;8,27877912,62973860,0,0,40123252,5644896;8,27281693,63210000,0,0,38220863,131535231
47;L;20,21;27281693/100000000,834079/3125000;8,27281693,63210000,0,0,38220863,131535231;8,26690528,63460000,0,0,36206820,185487600
47;L;21,22;834079/3125000,26448171/100000000;8,26690528,63460000,0,0,36206820,185487600;10,2644817100,6356787035,0,0,3533779826,733011318499
47;L;22,23;26448171/100000000,26140551/100000000;10,2644817100,6356787035,0,0,3533779826,733011318499;8,26140551,63710000,0,0,34192778,32642716
47;L;23,24;26140551/100000000,6407941/25000000;8,26140551,63710000,0,0,34192778,32642716;8,25631764,63960000,0,0,32178736,149442304
47;L;24,25;6407941/25000000,5032833/20000000;8,25631764,63960000,0,0,32178736,149442304;8,25164165,64210000,0,0,30164694,135886364
47;L;25,26;5032833/20000000,12368877/50000000;8,25164165,64210000,0,0,30164694,135886364;8,24737754,64460000,0,0,28150651,48276199
47;L;26,27;12368877/50000000,24352533/100000000;8,24737754,64460000,0,0,28150651,48276199;8,24352533,64710000,0,0,26136609,169981119
47;L;27,28;24352533/100000000,48017/200000;8,24352533,64710000,0,0,26136609,169981119;8,24008500,64960000,0,0,24122567,161330511
47;L;28,29;48017/200000,477173/2000000;8,24008500,64960000,0,0,24122567,161330511;8,23858650,65079461,0,0,23160175,49918854
48;C;0,46;1187661/12500000;2,9,0,0,25,29,334;10,950128800,0,0,2831520382,3314372957,228225650227
49;C;0,23;26140551/100000000;2,26,0,0,20,42,3036;2,26,0,0,24,38,3180
49;C;23,34;19595393/100000000;2,19,0,0,24,38,1780;2,19,0,0,26,36,1828
49;C;34,40;681499/5000000;2,13,0,0,26,36,628;2,13,0,0,27,35,646
49;C;40,43;5630117/50000000;2,11,0,0,27,35,246;2,11,0,0,28,34,260
49;C;43,44;1320141/12500000;2,10,0,0,28,34,60;2,10,0,0,28,34,60
49;C;44,45;4953713/50000000;4,990,0,0,2791,3352,774415;4,990,0,0,2816,3330,781244
49;L;45,46;4953713/50000000,1187661/12500000;4,990,0,0,2816,3330,781244;10,950128800,0,0,2831520382,3314372957,228225650227
50;L;29,30;477173/2000000,1159553/5000000;8,23858650,23160175,0,0,65079461,49918854;10,2319106000,2333747980,0,0,6398104413,286195845031
50;L;30,31;1159553/5000000,219471/1000000;10,2319106000,2333747980,0,0,6398104413,286195845031;10,2194710000,2367704108,0,0,6187744056,754396593200
50;L;31,32;219471/1000000,4309309/20000000;10,2194710000,2367704108,0,0,6187744056,754396593200;10,2154654500,2378909972,0,0,6118323021,755820392775
50;L;32,33;4309309/20000000,81049/390625;10,2154654500,2378909972,0,0,6118323021,755820392775;10,2074854400,2401660236,0,0,5977383698,237700269100
50;L;33,34;81049/390625,19595393/100000000;10,2074854400,2401660236,0,0,5977383698,237700269100;10,1959539300,2435616364,0,0,5767023340,723310663904
50;L;34,35;19595393/100000000,9243823/50000000;10,1959539300,2435616364,0,0,5767023340,723310663904;10,1848764600,2469572492,0,0,5556662983,200114451647
50;L;35,36;9243823/50000000,2178163/12500000;10,1848764600,2469572492,0,0,5556662983,200114451647;10,1742530400,2503528621,0,0,5346302625,685751947734
50;L;36,37;2178163/12500000,8204183/50000000;10,1742530400,2503528621,0,0,5346302625,685751947734;10,1640836600,2537484749,0,0,5135942267,178635307710
50;L;37,38;8204183/50000000,15436833/100000000;10,1640836600,2537484749,0,0,5135942267,178635307710;10,1543683300,2571440877,0,0,4925581910,663974222771
50;L;38,39;15436833/100000000,906919/6250000;10,1543683300,2571440877,0,0,4925581910,663974222771;10,1451070400,2605397005,0,0,4715221552,161891741271
50;L;39,40;906919/6250000,681499/5000000;10,1451070400,2605397005,0,0,4715221552,161891741271;8,13629980,26393532,0,0,45048612,25438432
50;L;40,41;681499/5000000,639733/5000000;8,13629980,26393532,0,0,45048612,25438432;10,1279466000,2673309261,0,0,4294500837,156057933310
50;L;41,42;639733/5000000,2400949/20000000;10,1279466000,2673309261,0,0,4294500837,156057933310;8,12004745,27072654,0,0,40841405,43022259
50;L;42,43;2400949/20000000,5630117/50000000;8,12004745,27072654,0,0,40841405,43022259;10,1126023400,2741221518,0,0,3873780122,155651440792
50;L;43,44;5630117/50000000,1320141/12500000;10,1126023400,2741221518,0,0,3873780122,155651440792;8,10561128,27751777,0,0,36634198,10239067
50;L;44,45;1320141/12500000,4953713/50000000;8,10561128,27751777,0,0,36634198,10239067;10,990742600,2809133774,0,0,3453059406,178407444088
50;L;45,46;4953713/50000000,1187661/12500000;10,990742600,2809133774,0,0,3453059406,178407444088;10,950128800,2831520382,0,0,3314372957,228225650227
51;C;0,1;37675919/100000000;2,37,0,0,0,60,3800;2,37,0,0,0,61,3679
52;C;0,5;4598921/12500000;2,36,0,0,0,60,3600;2,36,0,0,0,61,3479
53;C;0,1;37675919/100000000;2,37,0,0,60,0,3800;2,37,0,0,61,0,3679
54;C;0,5;4598921/12500000;2,36,0,0,0,60,3600;2,36,0,0,0,61,3479
55;C;1,5;4598921/12500000;2,36,61,0,0,0,3479;2,36,61,0,0,0,3479
56;C;0,32;4309309/20000000;2,21,0,0,0,23,3671;2,21,0,0,0,25,3575
57;C;0,32;4309309/20000000;2,21,0,0,0,30,3300;2,21,0,0,0,25,3575
58;C;5,32;4309309/20000000;2,21,0,0,0,61,479;2,21,0,0,0,25,3575
59;C;0,1;37675919/100000000;2,37,0,0,0,52,4696;2,37,0,0,0,53,4591
60;C;0,32;4309309/20000000;2,21,0,0,0,10,4100;2,21,0,0,0,10,4100
61;C;0,1;37675919/100000000;2,37,0,0,0,53,4591;2,37,0,0,0,53,4591
62;C;0,32;4309309/20000000;2,21,0,0,0,32,3176;2,21,0,0,0,10,4100
63;C;1,32;4309309/20000000;2,21,0,0,0,53,1391;2,21,0,0,0,10,4100
64;C;0,1;37675919/100000000;2,37,0,0,19,60,3439;2,37,0,0,19,61,3318
65;C;0,5;4598921/12500000;2,36,0,0,17,60,3311;2,36,0,0,17,61,3190
66;C;0,1;37675919/100000000;2,37,0,0,60,19,3439;2,37,0,0,61,19,3318
67;C;0,5;4598921/12500000;2,36,0,0,16,60,3344;2,36,0,0,17,61,3190
68;C;1,5;4598921/12500000;2,36,61,0,0,19,3118;2,36,61,0,0,17,3190
69;C;0,32;4309309/20000000;2,21,0,0,20,23,3271;2,21,0,0,21,25,3134
70;C;0,32;4309309/20000000;2,21,0,0,16,30,3044;2,21,0,0,21,25,3134
71;C;5,32;4309309/20000000;2,21,17,0,0,61,190;2,21,21,0,0,25,3134
MASS SLACK NUMERATOR 141224916935952279156067388685085066015322970943147555403877210390095617397888578122525215430153281003942670502204333330903
BIN 29: PATH2; (73/56,55/42]; gamma0=6003/10000; mass ceiling=99731319/100000000.
GAMMA 0=6003/10000;1=98925750000/164243144567;2=1507/2500;3=97127100000/160645844567;4=97726650000/161560757867;5=6053/10000;6=41818612500/68874065371;7=3039/5000;8=6103/10000;9=383/625;10=6153/10000;11=3089/5000;12=6203/10000;13=59355450000/95667814667;14=1557/2500;15=53959500000/86316633317;16=6253/10000;17=3139/5000;18=6303/10000;19=48563550000/76965451967;20=791/1250;21=79140600000/124672844567;22=6353/10000;23=3189/5000;24=6403/10000;25=1607/2500;26=6453/10000;27=3239/5000;28=6503/10000;29=72545550000/111482744567;30=408/625;31=6553/10000;32=40019962500/60997777021;33=3289/5000;34=6603/10000;35=1657/2500;36=6653/10000;37=3339/5000;38=6703/10000;39=841/1250;40=6753/10000;41=3389/5000;42=6803/10000;43=1707/2500;44=6853/10000;45=3439/5000;46=61154100000/88699844567;47=6903/10000;48=433/625;49=6953/10000;50=3489/5000;51=7003/10000;52=1757/2500;53=7053/10000;54=3539/5000;55=7103/10000;56=891/1250;57=7153/10000;58=3589/5000;59=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37654609,37898829;1,2,37898829,37647881;2,3,37647881,37004668;3,4,37004668,36943825;4,5,36943825,36876861;5,6,36876861,36866152;6,7,36866152,36942084;7,8,36942084,37246609;8,9,37246609,37552384;9,10,37552384,37859409;10,11,37859409,38167684;11,12,38167684,38477209;12,13,38477209,38493686;13,14,38493686,35276122;14,15,35276122,32419985;15,16,32419985,32229373;16,17,32229373,29543529;17,18,29543529,27689460;18,19,27689460,27515444;19,20,27515444,27063625;20,21,27063625,26596330;21,22,26596330,26479757;22,23,26479757,25937857;23,24,25937857,25437923;24,25,25437923,24979956;25,26,24979956,24563957;26,27,24563957,24189924;27,28,24189924,23857858;28,29,23857858,23804555;29,30,23804555,22741541;30,31,22741541,21497958;31,32,21497958,21115182;32,33,21115182,20300787;33,34,20300787,19150027;34,35,19150027,18045678;35,36,18045678,16987741;36,37,16987741,15976216;37,38,15976216,15011102;38,39,15011102,14092399;39,40,14092399,13220108;40,41,13220108,12394229;41,42,12394229,11614761;42,43,11614761,10881704;43,44,10881704,10195059;44,45,10195059,9554825;45,46,9554825,9157716;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;142423721417/37771650000,1/3,164243144567/75543300000;-81571177426189
2;0,3,6;17/42,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;17/42,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;46/21,5/3,9/14;-8
10;0,6;1/3,1;-1
11;2,3,7;79/42,4/3,9/14;-1
14;0,6;1/3,1;-1
15;2,3,10;79/42,4/3,9/14;-1
18;1,4,8;120604298267/25181100000,1,164243144567/75543300000;-67581677426189
20;0,3,8;22/21,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;55146028817/12590550000,5,164243144567/75543300000;-4628927426189
26;0,8;1/3,1;-1
27;2,3,10;79/42,4/3,9/14;-1
29;1,3,9;8/21,3,55/42;-8
30;1,4,11;120604298267/25181100000,1,164243144567/75543300000;-67581677426189
32;0,3,11;22/21,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;55146028817/12590550000,5,164243144567/75543300000;-4628927426189
38;0,11;1/3,1;-1
39;2,3,7;79/42,4/3,9/14;-1
41;1,3,12;8/21,3,55/42;-8
42;1,4,14;142423721417/37771650000,1/3,164243144567/75543300000;-81571177426189
43;0,3,14;17/42,3,1;-2
45;0,3,14;17/42,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;79/42,4/3,9/14;-1
56;2,3,7;79/42,4/3,9/14;-1
58;2,3,10;79/42,4/3,9/14;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;17/42,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
66;0,3,6;17/42,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;67/21,5/3,17/21;-1
70;0,6;1/3,1;-1
72;1,4,6;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
80;0,3,8;22/21,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;63518744567/12590550000,4,164243144567/75543300000;-25613177426189
84;1,4,8;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
86;0,8;1/3,1;-1
89;1,3,9;8/21,3,55/42;-8
90;1,11;3,1;-2
91;1,4,11;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
92;0,3,11;22/21,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;63518744567/12590550000,4,164243144567/75543300000;-25613177426189
96;1,4,11;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
98;0,11;1/3,1;-1
101;1,3,12;8/21,3,55/42;-8
102;0,1,14;2/3,2,1;-1
103;0,3,14;17/42,3,1;-2
104;1,4,14;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
105;0,3,14;17/42,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;63518744567/15108660000,10/3,164243144567/75543300000;-48860532278567
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;67/21,5/3,17/21;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;23457623423/4721456250,5/3,164243144567/75543300000;-39602677426189
122;0,3,6;17/42,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
126;0,3,6;17/42,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;88/21,13/6,89/84;-1
130;0,6;1/3,1;-1
132;1,4,6;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
134;0,6;1/3,1;-1
136;1,4,6;60918215809/18885825000,19/3,164243144567/75543300000;-1076659142063
138;0,1,8;1,3,1;-2
139;1,4,8;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
140;0,3,8;22/21,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;79747963517/12590550000,3,164243144567/75543300000;-46597427426189
143;1,4,8;60918215809/18885825000,19/3,164243144567/75543300000;-1076659142063
144;1,4,8;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
146;0,8;1/3,1;-1
148;1,4,8;60918215809/18885825000,19/3,164243144567/75543300000;-1076659142063
149;1,3,9;8/21,3,55/42;-8
150;0,1,11;1,3,1;-2
151;1,4,11;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
152;0,3,11;22/21,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;79747963517/12590550000,3,164243144567/75543300000;-46597427426189
155;1,4,11;60918215809/18885825000,19/3,164243144567/75543300000;-1076659142063
156;1,4,11;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
158;0,11;1/3,1;-1
160;1,4,11;60918215809/18885825000,19/3,164243144567/75543300000;-1076659142063
161;1,3,12;8/21,3,55/42;-8
162;0,1,14;5/3,2,1;-1
163;0,3,14;17/42,3,1;-2
164;1,4,14;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
165;0,3,14;17/42,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;85380975587/15108660000,7/3,164243144567/75543300000;-132797532278567
169;0,14;1/3,1;-1
170;1,4,14;60918215809/18885825000,19/3,164243144567/75543300000;-1076659142063
171;1,4,14;23457623423/4721456250,5/3,164243144567/75543300000;-39602677426189
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;88/21,13/6,89/84;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;15427548100062,837290257622544129075000,14980473319777,28
4;1,4,6,3;15427548100062,529958424804105909780000,29462910262408,238
5;5,4,2,3;29462910262408,1058676941456984174220000,36729609532154,182
12;1,4,6,3;15427548100062,529958424804105909780000,29462910262408,238
13;5,4,2,3;29462910262408,1058676941456984174220000,36729609532154,182
16;1,4,6,3;15427548100062,2865435043925220645375000,16672639042927,7
17;5,4,2,3;16672639042927,91950970668717029625000,36729609532154,7
19;1,4,8,3;15427548100062,529958424804105909780000,29462910262408,238
23;7,4,8,3;29462910262408,706094604675796360815000,16672639042927,77
24;1,4,8,3;15427548100062,529958424804105909780000,29462910262408,238
25;7,4,2,3;14980473319777,176912143436243405925000,36729609532154,28
28;7,4,8,3;29462910262408,706094604675796360815000,16672639042927,77
31;1,4,11,3;15427548100062,529958424804105909780000,29462910262408,238
35;10,4,11,3;29462910262408,706094604675796360815000,16672639042927,77
36;1,4,11,3;15427548100062,529958424804105909780000,29462910262408,238
37;10,4,2,3;14980473319777,176912143436243405925000,36729609532154,28
40;10,4,11,3;29462910262408,706094604675796360815000,16672639042927,77
44;1,4,14,3;15427548100062,529958424804105909780000,29462910262408,238
48;1,4,14,3;15427548100062,529958424804105909780000,29462910262408,238
50;1,4,14,3;15427548100062,2865435043925220645375000,16672639042927,7
51;1,4,14,3;15427548100062,837290257622544129075000,14980473319777,28
53;13,4,2,3;29462910262408,1058676941456984174220000,36729609532154,182
57;13,4,2,3;29462910262408,1058676941456984174220000,36729609532154,182
59;13,4,2,3;16672639042927,91950970668717029625000,36729609532154,7
61;1,4,6,3;15427548100062,89361022220088258150000,5377551716677,7
65;1,4,9,3;15427548100062,1339664412196070606520000,787144181100186,168
71;7,4,2,3;787144181100186,308202955193277393480000,184510277150031,399
73;1,4,12,3;15427548100062,1339664412196070606520000,787144181100186,168
75;10,4,2,3;787144181100186,308202955193277393480000,184510277150031,399
76;1,4,6,3;15427548100062,640107775450110322687500,100321466150031,21
77;5,4,2,3;100321466150031,151313056442620927312500,184510277150031,105
83;1,4,8,3;15427548100062,640107775450110322687500,100321466150031,21
85;7,4,12,3;5377551716677,489017580645656348370000,787144181100186,287
87;10,4,2,3;787144181100186,308202955193277393480000,184510277150031,399
88;1,4,8,3;15427548100062,640107775450110322687500,100321466150031,21
95;1,4,11,3;15427548100062,640107775450110322687500,100321466150031,21
97;10,4,9,3;5377551716677,489017580645656348370000,787144181100186,287
99;7,4,2,3;787144181100186,308202955193277393480000,184510277150031,399
100;1,4,11,3;15427548100062,640107775450110322687500,100321466150031,21
110;1,4,14,3;15427548100062,640107775450110322687500,100321466150031,21
111;1,4,14,3;15427548100062,89361022220088258150000,5377551716677,7
113;1,4,9,3;15427548100062,1339664412196070606520000,787144181100186,168
116;7,4,2,3;787144181100186,308202955193277393480000,184510277150031,399
117;1,4,12,3;15427548100062,1339664412196070606520000,787144181100186,168
118;10,4,2,3;787144181100186,308202955193277393480000,184510277150031,399
119;13,4,2,3;100321466150031,151313056442620927312500,184510277150031,105
125;1,4,9,3;15427548100062,71488817776070606520000,103841787341586,84
131;7,4,2,3;103841787341586,331116248756479881240000,317613049067412,2478
133;1,4,12,3;15427548100062,71488817776070606520000,103841787341586,84
135;10,4,2,3;103841787341586,331116248756479881240000,317613049067412,2478
137;1,4,2,3;15427548100062,792609746512500000000000,317613049067412,882
145;1,4,12,3;15427548100062,71488817776070606520000,103841787341586,84
147;10,4,2,3;103841787341586,331116248756479881240000,317613049067412,2478
157;1,4,9,3;15427548100062,71488817776070606520000,103841787341586,84
159;7,4,2,3;103841787341586,331116248756479881240000,317613049067412,2478
173;1,4,9,3;15427548100062,71488817776070606520000,103841787341586,84
176;7,4,2,3;103841787341586,331116248756479881240000,317613049067412,2478
177;1,4,12,3;15427548100062,71488817776070606520000,103841787341586,84
178;10,4,2,3;103841787341586,331116248756479881240000,317613049067412,2478
179;1,4,2,3;15427548100062,792609746512500000000000,317613049067412,882
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/13;E/4,1/2/0/1;E/4,6/3/0/13;E/4,3/4/1/13
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/19;E/4,5/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/19;E/4,5/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
16:V/3,1/13/0/1;V/6,3/14/0/15;E/4,1/15/0/1;E/4,6/16/0/15;E/4,3/17/1/15
17:V/3,5/14/0/15;V/2,3/18/0/19;E/4,5/16/0/15;E/4,2/19/0/19;E/4,3/20/15/19
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/15;E/4,7/8/0/6;E/4,8/16/0/15;E/4,3/12/6/15
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/13;V/2,3/21/0/19;E/4,7/3/0/13;E/4,2/22/0/19;E/4,3/23/13/19
28:V/3,7/6/0/6;V/8,3/14/0/15;E/4,7/8/0/6;E/4,8/16/0/15;E/4,3/12/6/15
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/15;E/4,10/8/0/6;E/4,11/16/0/15;E/4,3/12/6/15
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/13;V/2,3/21/0/19;E/4,10/3/0/13;E/4,2/22/0/19;E/4,3/23/13/19
40:V/3,10/6/0/6;V/11,3/14/0/15;E/4,10/8/0/6;E/4,11/16/0/15;E/4,3/12/6/15
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/15;E/4,1/15/0/1;E/4,14/16/0/15;E/4,3/17/1/15
51:V/3,1/0/0/1;V/14,3/1/0/13;E/4,1/2/0/1;E/4,14/3/0/13;E/4,3/4/1/13
53:V/3,13/6/0/6;V/2,3/10/0/19;E/4,13/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
57:V/3,13/6/0/6;V/2,3/10/0/19;E/4,13/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
59:V/3,13/14/0/15;V/2,3/18/0/19;E/4,13/16/0/15;E/4,2/19/0/19;E/4,3/20/15/19
61:V/3,1/24/0/1;V/6,3/25/0/3;E/4,1/26/0/1;E/4,6/27/0/3;E/4,3/28/1/3
65:V/3,1/29/0/1;V/9,3/30/0/29;E/4,1/31/0/1;E/4,9/32/0/29;E/4,3/33/1/29
71:V/3,7/30/0/29;V/2,3/34/0/46;E/4,7/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
73:V/3,1/29/0/1;V/12,3/30/0/29;E/4,1/31/0/1;E/4,12/32/0/29;E/4,3/33/1/29
75:V/3,10/30/0/29;V/2,3/34/0/46;E/4,10/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
76:V/3,1/37/0/1;V/6,3/38/0/21;E/4,1/39/0/1;E/4,6/40/0/21;E/4,3/41/1/21
77:V/3,5/38/0/21;V/2,3/42/0/46;E/4,5/40/0/21;E/4,2/43/0/46;E/4,3/44/21/46
83:V/3,1/29/0/1;V/8,3/38/0/21;E/4,1/31/0/1;E/4,8/40/0/21;E/4,3/33/1/21
85:V/3,7/25/0/3;V/12,3/45/0/29;E/4,7/27/0/3;E/4,12/46/0/29;E/4,3/47/3/29
87:V/3,10/45/0/29;V/2,3/48/0/46;E/4,10/46/0/29;E/4,2/49/0/46;E/4,3/50/29/46
88:V/3,1/29/0/1;V/8,3/38/0/21;E/4,1/31/0/1;E/4,8/40/0/21;E/4,3/33/1/21
95:V/3,1/29/0/1;V/11,3/38/0/21;E/4,1/31/0/1;E/4,11/40/0/21;E/4,3/33/1/21
97:V/3,10/25/0/3;V/9,3/45/0/29;E/4,10/27/0/3;E/4,9/46/0/29;E/4,3/47/3/29
99:V/3,7/45/0/29;V/2,3/48/0/46;E/4,7/46/0/29;E/4,2/49/0/46;E/4,3/50/29/46
100:V/3,1/29/0/1;V/11,3/38/0/21;E/4,1/31/0/1;E/4,11/40/0/21;E/4,3/33/1/21
110:V/3,1/37/0/1;V/14,3/38/0/21;E/4,1/39/0/1;E/4,14/40/0/21;E/4,3/41/1/21
111:V/3,1/24/0/1;V/14,3/25/0/3;E/4,1/26/0/1;E/4,14/27/0/3;E/4,3/28/1/3
113:V/3,1/29/0/1;V/9,3/30/0/29;E/4,1/31/0/1;E/4,9/32/0/29;E/4,3/33/1/29
116:V/3,7/30/0/29;V/2,3/34/0/46;E/4,7/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
117:V/3,1/29/0/1;V/12,3/30/0/29;E/4,1/31/0/1;E/4,12/32/0/29;E/4,3/33/1/29
118:V/3,10/30/0/29;V/2,3/34/0/46;E/4,10/32/0/29;E/4,2/35/0/46;E/4,3/36/29/46
119:V/3,13/38/0/21;V/2,3/42/0/46;E/4,13/40/0/21;E/4,2/43/0/46;E/4,3/44/21/46
125:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
131:V/3,7/52/0/4;V/2,3/56/0/32;E/4,7/54/0/4;E/4,2/57/0/32;E/4,3/58/4/32
133:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
135:V/3,10/52/0/4;V/2,3/56/0/32;E/4,10/54/0/4;E/4,2/57/0/32;E/4,3/58/4/32
137:V/3,1/59/0/1;V/2,3/60/0/32;E/4,1/61/0/1;E/4,2/62/0/32;E/4,3/63/1/32
145:V/3,1/64/0/1;V/12,3/65/0/4;E/4,1/66/0/1;E/4,12/67/0/4;E/4,3/68/1/4
147:V/3,10/65/0/4;V/2,3/69/0/32;E/4,10/67/0/4;E/4,2/70/0/32;E/4,3/71/4/32
157:V/3,1/64/0/1;V/9,3/65/0/4;E/4,1/66/0/1;E/4,9/67/0/4;E/4,3/68/1/4
159:V/3,7/65/0/4;V/2,3/69/0/32;E/4,7/67/0/4;E/4,2/70/0/32;E/4,3/71/4/32
173:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
176:V/3,7/52/0/4;V/2,3/56/0/32;E/4,7/54/0/4;E/4,2/57/0/32;E/4,3/58/4/32
177:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
178:V/3,10/52/0/4;V/2,3/56/0/32;E/4,10/54/0/4;E/4,2/57/0/32;E/4,3/58/4/32
179:V/3,1/59/0/1;V/2,3/60/0/32;E/4,1/61/0/1;E/4,2/62/0/32;E/4,3/63/1/32
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37654609/100000000,37898829/100000000;4,3765,0,1795,6003,6003,5957;10,3789882900,0,1800419895,6023128105,6023128105,1863206406925
1;C;0,6;4608269/12500000;4,3686,0,0,6003,6003,1647982;8,36866152,0,0,60717503,60717503,58889982
1;L;6,7;4608269/12500000,9235521/25000000;8,36866152,0,0,60717503,60717503,58889982;8,36942084,0,0,60780000,60780000,0
1;L;7,8;9235521/25000000,37246609/100000000;8,36942084,0,0,60780000,60780000,0;8,37246609,0,0,61030000,61030000,0
1;L;8,9;37246609/100000000,146689/390625;8,37246609,0,0,61030000,61030000,0;8,37552384,0,0,61280000,61280000,0
1;L;9,10;146689/390625,37859409/100000000;8,37552384,0,0,61280000,61280000,0;8,37859409,0,0,61530000,61530000,0
1;L;10,11;37859409/100000000,9541921/25000000;8,37859409,0,0,61530000,61530000,0;8,38167684,0,0,61780000,61780000,0
1;L;11,12;9541921/25000000,38477209/100000000;8,38167684,0,0,61780000,61780000,0;8,38477209,0,0,62030000,62030000,0
1;L;12,13;38477209/100000000,19246843/50000000;8,38477209,0,0,62030000,62030000,0;8,38493686,0,0,62043280,62043280,13683200
2;L;0,1;37654609/100000000,37898829/100000000;8,37654609,0,60030000,60030000,17992218,91440476;10,3789882900,0,6023128105,6023128105,1800419895,1863206406925
3;C;0,6;4608269/12500000;4,3686,0,0,6003,6003,1647982;8,36866152,0,0,60717503,60717503,58889982
3;L;6,7;4608269/12500000,9235521/25000000;8,36866152,0,0,60717503,60717503,58889982;8,36942084,0,0,60780000,60780000,0
3;L;7,8;9235521/25000000,37246609/100000000;8,36942084,0,0,60780000,60780000,0;8,37246609,0,0,61030000,61030000,0
3;L;8,9;37246609/100000000,146689/390625;8,37246609,0,0,61030000,61030000,0;8,37552384,0,0,61280000,61280000,0
3;L;9,10;146689/390625,37859409/100000000;8,37552384,0,0,61280000,61280000,0;8,37859409,0,0,61530000,61530000,0
3;L;10,11;37859409/100000000,9541921/25000000;8,37859409,0,0,61530000,61530000,0;8,38167684,0,0,61780000,61780000,0
3;L;11,12;9541921/25000000,38477209/100000000;8,38167684,0,0,61780000,61780000,0;8,38477209,0,0,62030000,62030000,0
3;L;12,13;38477209/100000000,19246843/50000000;8,38477209,0,0,62030000,62030000,0;8,38493686,0,0,62043280,62043280,13683200
4;L;1,2;37898829/100000000,37647881/100000000;10,3789882900,6023128105,6023128105,0,1800419895,1863206406925;8,37647881,60280000,60280000,0,16193186,127169404
4;L;2,3;37647881/100000000,9251167/25000000;8,37647881,60280000,60280000,0,16193186,127169404;10,3700466800,6046038743,6046038743,0,948770658,1274804206938
4;L;3,4;9251167/25000000,1477753/4000000;10,3700466800,6046038743,6046038743,0,948770658,1274804206938;8,36943825,60489101,60489101,0,8420347,76823189
4;L;4,5;1477753/4000000,36876861/100000000;8,36943825,60489101,60489101,0,8420347,76823189;8,36876861,60530000,60530000,0,6900023,82599471
4;L;5,6;36876861/100000000,4608269/12500000;8,36876861,60530000,60530000,0,6900023,82599471;8,36866152,60717503,60717503,0,0,58889982
4;L;6,7;4608269/12500000,9235521/25000000;8,36866152,60717503,60717503,0,0,58889982;8,36942084,60780000,60780000,0,0,0
4;L;7,8;9235521/25000000,37246609/100000000;8,36942084,60780000,60780000,0,0,0;8,37246609,61030000,61030000,0,0,0
4;L;8,9;37246609/100000000,146689/390625;8,37246609,61030000,61030000,0,0,0;8,37552384,61280000,61280000,0,0,0
4;L;9,10;146689/390625,37859409/100000000;8,37552384,61280000,61280000,0,0,0;8,37859409,61530000,61530000,0,0,0
4;L;10,11;37859409/100000000,9541921/25000000;8,37859409,61530000,61530000,0,0,0;8,38167684,61780000,61780000,0,0,0
4;L;11,12;9541921/25000000,38477209/100000000;8,38167684,61780000,61780000,0,0,0;8,38477209,62030000,62030000,0,0,0
4;L;12,13;38477209/100000000,19246843/50000000;8,38477209,62030000,62030000,0,0,0;8,38493686,62043280,62043280,0,0,13683200
5;C;0,1;37654609/100000000;4,3765,0,50,6003,6003,3225482;4,3765,0,50,6024,6024,2720348
6;C;0,6;4608269/12500000;4,3686,0,0,6003,6003,1647982;8,36866152,0,0,60717503,60717503,58889982
7;C;0,1;37654609/100000000;4,3765,0,6003,6003,0,3227982;4,3765,50,6024,6024,0,2720348
8;C;0,6;4608269/12500000;4,3686,0,0,6003,6003,1647982;8,36866152,0,0,60717503,60717503,58889982
9;C;1,6;4608269/12500000;4,3686,6024,6024,50,0,1140348;8,36866152,60717503,60717503,0,0,58889982
10;C;0,19;6878861/25000000;2,27,0,0,0,61,1679;2,27,0,0,0,64,1304
11;C;0,19;6878861/25000000;2,27,0,0,61,0,1679;2,27,0,0,64,0,1304
12;C;6,12;4608269/12500000;8,36866152,60717503,0,0,60717503,58889982;2,36,63,0,0,15,3006
12;C;12,19;6878861/25000000;2,27,63,0,0,15,1206;2,27,64,0,0,0,1304
13;C;0,1;37654609/100000000;2,37,1,1,50,61,1177;2,37,1,1,50,61,1177
14;C;0,15;6483997/20000000;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
15;C;0,1;37654609/100000000;2,37,0,0,61,51,1078;2,37,1,1,61,50,1177
16;C;0,15;6483997/20000000;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
17;C;1,15;6483997/20000000;2,32,61,1,1,50,177;2,32,63,0,0,0,2431
18;C;0,19;6878861/25000000;2,27,0,0,0,42,3636;2,27,0,0,0,44,3464
19;C;0,19;6878861/25000000;2,27,0,0,0,55,2375;2,27,0,0,0,44,3464
20;C;15,19;6878861/25000000;2,27,0,0,0,63,1431;2,27,0,0,0,44,3464
21;C;0,19;6878861/25000000;2,27,0,0,35,61,454;4,2751,0,0,3673,6310,1712971
22;C;0,19;6878861/25000000;2,27,0,0,61,40,79;4,2751,0,0,6310,3673,1712971
23;L;13,14;19246843/50000000,17638061/50000000;8,38493686,62043280,0,0,62043280,13683200;8,35276122,62280000,0,0,56359790,71155900
23;L;14,15;17638061/50000000,6483997/20000000;8,35276122,62280000,0,0,56359790,71155900;8,32419985,62513444,0,0,50754963,50127495
23;L;15,16;6483997/20000000,32229373/100000000;8,32419985,62513444,0,0,50754963,50127495;8,32229373,62530000,0,0,50357458,123778236
23;L;16,17;32229373/100000000,29543529/100000000;8,32229373,62530000,0,0,50357458,123778236;8,29543529,62780000,0,0,44355127,108813871
23;L;17,18;29543529/100000000,1384473/5000000;8,29543529,62780000,0,0,44355127,108813871;4,2768,6303,0,0,3836,917295
23;C;18,19;6878861/25000000;4,2751,6303,0,0,3836,577295;4,2751,6310,0,0,3673,1712971
24;C;0,1;37654609/100000000;4,3765,0,0,6003,6003,3227982;4,3765,0,0,6024,6024,2722848
25;C;0,3;9251167/25000000;4,3700,0,0,6003,6003,1927982;4,3700,0,0,6047,6047,867582
26;C;0,1;37654609/100000000;4,3765,0,0,6003,6003,3227982;4,3765,0,0,6024,6024,2722848
27;C;0,3;9251167/25000000;4,3700,0,0,6003,6003,1927982;4,3700,0,0,6047,6047,867582
28;C;1,3;9251167/25000000;4,3700,6024,6024,0,0,1422848;4,3700,6047,6047,0,0,867582
29;C;0,1;37654609/100000000;2,37,0,0,34,61,2523;2,37,0,0,35,61,2454
30;C;0,29;4760911/20000000;2,23,0,0,0,61,879;2,23,0,0,0,66,244
31;C;0,1;37654609/100000000;2,37,0,0,61,35,2454;2,37,0,0,61,35,2454
32;C;0,29;4760911/20000000;2,23,0,0,0,61,879;2,23,0,0,0,66,244
33;C;1,15;6483997/20000000;2,32,61,0,0,35,1454;2,32,63,0,0,10,2331
33;C;15,29;4760911/20000000;2,23,63,0,0,10,531;2,23,66,0,0,0,244
34;C;0,46;2289429/25000000;2,9,0,0,0,28,1016;2,9,0,0,0,33,711
35;C;0,46;2289429/25000000;2,9,0,0,0,41,119;2,9,0,0,0,33,711
36;C;29,31;10748979/50000000;4,2149,0,0,0,6508,625936;2,21,0,0,0,62,356
36;C;31,33;20300787/100000000;2,20,0,0,0,62,156;2,20,0,0,0,60,400
36;C;33,35;9022839/50000000;2,18,0,0,0,60,0;2,18,0,0,0,55,575
36;C;35,37;1997027/12500000;4,1597,0,0,0,5481,1898639;2,15,0,0,0,51,399
36;C;37,39;14092399/100000000;2,14,0,0,0,51,199;2,14,0,0,0,47,591
36;C;39,41;12394229/100000000;2,12,0,0,0,47,191;2,12,0,0,0,43,551
36;C;41,46;2289429/25000000;4,915,0,0,0,4205,617975;2,9,0,0,0,33,711
37;C;0,1;37654609/100000000;2,37,0,0,6,61,3643;2,37,0,0,6,61,3643
38;C;0,21;2659633/10000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
39;C;0,1;37654609/100000000;2,37,0,0,61,7,3630;2,37,0,0,61,6,3643
40;C;0,21;2659633/10000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
41;C;1,21;2659633/10000000;2,26,61,0,0,6,1443;2,26,64,0,0,0,1104
42;C;0,46;2289429/25000000;2,9,0,0,0,10,1700;2,9,0,0,0,11,1679
43;C;0,23;25937857/100000000;2,25,0,0,0,45,2975;2,25,0,0,0,31,4039
43;C;23,46;2289429/25000000;2,9,0,0,0,31,839;2,9,0,0,0,11,1679
44;C;21,33;20300787/100000000;4,2030,0,0,0,6348,302896;2,20,0,0,0,42,2236
44;C;33,46;2289429/25000000;2,9,0,0,0,42,36;2,9,0,0,0,11,1679
45;C;0,29;4760911/20000000;2,23,0,0,22,61,395;10,2380455500,0,0,2294277142,6507334412,1246096926092
46;C;0,29;4760911/20000000;2,23,0,0,19,61,518;10,2380455500,0,0,2294277142,6507334412,1246096926092
47;C;3,9;4608269/12500000;4,3686,6047,0,0,6047,587582;2,36,62,0,0,54,440
47;C;9,12;146689/390625;2,37,62,0,0,54,640;2,37,63,0,0,48,1127
47;C;12,16;32229373/100000000;2,32,63,0,0,48,127;2,32,63,0,0,44,495
47;C;16,17;29543529/100000000;4,2954,6253,0,0,4363,944222;2,29,63,0,0,42,67
47;L;17,18;29543529/100000000,1384473/5000000;2,29,63,0,0,42,67;8,27689460,63030000,0,0,39561484,83717744
47;L;18,19;1384473/5000000,6878861/25000000;8,27689460,63030000,0,0,39561484,83717744;8,27515444,63097856,0,0,39009605,85947239
47;L;19,20;6878861/25000000,216509/800000;8,27515444,63097856,0,0,39009605,85947239;8,27063625,63280000,0,0,37528210,54195900
47;L;20,21;216509/800000,2659633/10000000;8,27063625,63280000,0,0,37528210,54195900;10,2659633000,6347861901,0,0,3591282261,1007659394078
47;L;21,22;2659633/10000000,26479757/100000000;10,2659633000,6347861901,0,0,3591282261,1007659394078;10,2647975700,6353000000,0,0,3549493605,148064103975
47;L;22,23;26479757/100000000,25937857/100000000;10,2647975700,6353000000,0,0,3549493605,148064103975;8,25937857,63780000,0,0,33461663,109274431
47;L;23,24;25937857/100000000,25437923/100000000;8,25937857,63780000,0,0,33461663,109274431;8,25437923,64030000,0,0,31428389,64864679
47;L;24,25;25437923/100000000,6244989/25000000;8,25437923,64030000,0,0,31428389,64864679;8,24979956,64280000,0,0,29395115,14136775
47;L;25,26;6244989/25000000,24563957/100000000;8,24979956,64280000,0,0,29395115,14136775;8,24563957,64530000,0,0,27361841,157090719
47;L;26,27;24563957/100000000,6047481/25000000;8,24563957,64530000,0,0,27361841,157090719;8,24189924,64780000,0,0,25328568,43069376
47;L;27,28;6047481/25000000,11928929/50000000;8,24189924,64780000,0,0,25328568,43069376;10,2385785800,6503000000,0,0,2329529322,137942220316
47;L;28,29;11928929/50000000,4760911/20000000;10,2385785800,6503000000,0,0,2329529322,137942220316;10,2380455500,6507334412,0,0,2294277142,1246096926092
48;C;0,46;2289429/25000000;2,9,0,0,25,28,391;8,9157716,0,0,28262377,32136912,133414127
49;C;0,23;25937857/100000000;2,25,0,0,20,41,2919;2,25,0,0,24,37,3055
49;C;23,34;19150027/100000000;2,19,0,0,24,37,1855;2,19,0,0,26,35,1899
49;C;34,40;3305027/25000000;2,13,0,0,26,35,699;2,13,0,0,27,34,715
49;C;40,43;1360213/12500000;2,10,0,0,27,34,115;2,10,0,0,28,33,127
49;C;43,44;10195059/100000000;2,10,0,0,28,33,127;2,10,0,0,28,33,127
49;C;44,45;382193/4000000;4,955,0,0,2785,3252,768271;4,955,0,0,2810,3229,777459
49;L;45,46;382193/4000000,2289429/25000000;4,955,0,0,2810,3229,777459;8,9157716,0,0,28262377,32136912,133414127
50;L;29,30;4760911/20000000,22741541/100000000;10,2380455500,2294277142,0,0,6507334412,1246096926092;8,22741541,23226715,0,0,63315305,63065750
50;L;30,31;22741541/100000000,10748979/50000000;8,22741541,23226715,0,0,63315305,63065750;10,2149795800,2357021217,0,0,6118853345,724994149886
50;L;31,32;10748979/50000000,10557591/50000000;10,2149795800,2357021217,0,0,6118853345,724994149886;8,21115182,23678602,0,0,60517437,26276627
50;L;32,33;10557591/50000000,20300787/100000000;8,21115182,23678602,0,0,60517437,26276627;8,20300787,23913710,0,0,59061763,25367731
50;L;33,34;20300787/100000000,19150027/100000000;8,20300787,23913710,0,0,59061763,25367731;8,19150027,24257208,0,0,56934991,59874655
50;L;34,35;19150027/100000000,9022839/50000000;8,19150027,24257208,0,0,56934991,59874655;10,1804567800,2460070490,0,0,5480821932,133938947276
50;L;35,36;9022839/50000000,16987741/100000000;10,1804567800,2460070490,0,0,5480821932,133938947276;10,1698774100,2494420247,0,0,5268144794,60807156555
50;L;36,37;16987741/100000000,1997027/12500000;10,1698774100,2494420247,0,0,5268144794,60807156555;8,15976216,25287701,0,0,50554677,11560270
50;L;37,38;1997027/12500000,7505551/50000000;8,15976216,25287701,0,0,50554677,11560270;8,15011102,25631198,0,0,48427906,9539960
50;L;38,39;7505551/50000000,14092399/100000000;8,15011102,25631198,0,0,48427906,9539960;10,1409239900,2597469519,0,0,4630113381,176950657478
50;L;39,40;14092399/100000000,3305027/25000000;10,1409239900,2597469519,0,0,4630113381,176950657478;10,1322010800,2631819277,0,0,4417436243,332241242222
50;L;40,41;3305027/25000000,12394229/100000000;10,1322010800,2631819277,0,0,4417436243,332241242222;8,12394229,26661691,0,0,42047592,40022055
50;L;41,42;12394229/100000000,11614761/100000000;8,12394229,26661691,0,0,42047592,40022055;8,11614761,27005188,0,0,39920820,151612256
50;L;42,43;11614761/100000000,1360213/12500000;8,11614761,27005188,0,0,39920820,151612256;8,10881704,27348686,0,0,37794049,34259003
50;L;43,44;1360213/12500000,10195059/100000000;8,10881704,27348686,0,0,37794049,34259003;8,10195059,27692184,0,0,35667277,96715415
50;L;44,45;10195059/100000000,382193/4000000;8,10195059,27692184,0,0,35667277,96715415;8,9554825,28035681,0,0,33540506,48130203
50;L;45,46;382193/4000000,2289429/25000000;8,9554825,28035681,0,0,33540506,48130203;8,9157716,28262377,0,0,32136912,133414127
51;C;0,1;37654609/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
52;C;0,4;1477753/4000000;2,36,0,0,0,61,3479;2,36,0,0,0,61,3479
53;C;0,1;37654609/100000000;2,37,0,0,61,0,3679;2,37,0,0,61,0,3679
54;C;0,4;1477753/4000000;2,36,0,0,0,61,3479;2,36,0,0,0,61,3479
55;C;1,4;1477753/4000000;2,36,61,0,0,0,3479;2,36,61,0,0,0,3479
56;C;0,32;10557591/50000000;2,21,0,0,0,22,3716;2,21,0,0,0,24,3624
57;C;0,32;10557591/50000000;2,21,0,0,0,29,3359;2,21,0,0,0,24,3624
58;C;4,32;10557591/50000000;2,21,0,0,0,61,479;2,21,0,0,0,24,3624
59;C;0,1;37654609/100000000;2,37,0,0,0,51,4799;2,37,0,0,0,51,4799
60;C;0,32;10557591/50000000;2,21,0,0,0,8,4136;2,21,0,0,0,9,4119
61;C;0,1;37654609/100000000;2,37,0,0,0,52,4696;2,37,0,0,0,51,4799
62;C;0,32;10557591/50000000;2,21,0,0,0,30,3300;2,21,0,0,0,9,4119
63;C;1,32;10557591/50000000;2,21,0,0,0,51,1599;2,21,0,0,0,9,4119
64;C;0,1;37654609/100000000;2,37,0,0,18,61,3355;2,37,0,0,18,61,3355
65;C;0,4;1477753/4000000;2,36,0,0,16,61,3223;2,36,0,0,17,61,3190
66;C;0,1;37654609/100000000;2,37,0,0,61,19,3318;2,37,0,0,61,18,3355
67;C;0,4;1477753/4000000;2,36,0,0,16,61,3223;2,36,0,0,17,61,3190
68;C;1,4;1477753/4000000;2,36,61,0,0,18,3155;2,36,61,0,0,17,3190
69;C;0,32;10557591/50000000;2,21,0,0,20,22,3316;2,21,0,0,21,24,3183
70;C;0,32;10557591/50000000;2,21,0,0,16,29,3103;2,21,0,0,21,24,3183
71;C;4,32;10557591/50000000;2,21,17,0,0,61,190;2,21,21,0,0,24,3183
MASS SLACK NUMERATOR 744005052323509585719839796730565041124597145859362455394407780478333171547481891924587559695229210157549713154478836973269
BIN 30: PATH2; (55/42,21/16]; gamma0=3003/5000; mass ceiling=12410987/12500000.
GAMMA 0=3003/5000;1=99150581250/164805644567;2=6031/10000;3=97576762500/161658007067;4=196202737500/324917112409;5=757/1250;6=673594425000/1111160636611;7=6081/10000;8=3053/5000;9=6131/10000;10=1539/2500;11=6181/10000;12=239220450000/386479788893;13=3103/5000;14=6231/10000;15=218236200000/350114083643;16=391/625;17=6281/10000;18=48788381250/77527951967;19=3153/5000;20=79740150000/125984782067;21=6331/10000;22=1589/2500;23=6381/10000;24=3203/5000;25=6431/10000;26=807/1250;27=6481/10000;28=72920268750/112345019567;29=3253/5000;30=6531/10000;31=40132378125/61279027021;32=1639/2500;33=6581/10000;34=3303/5000;35=6631/10000;36=416/625;37=6681/10000;38=3353/5000;39=6731/10000;40=1689/2500;41=6781/10000;42=3403/5000;43=6831/10000;44=857/1250;45=61378931250/89262344567;46=6881/10000;47=3453/5000;48=6931/10000;49=1739/2500;50=6981/10000;51=3503/5000;52=7031/10000;53=441/625;54=7081/10000;55=3553/5000;56=7131/10000;57=1789/2500;58=7181/10000;59=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37587871,37711497;1,2,37711497,37056062;2,3,37056062,36908785;3,4,36908785,36848169;4,5,36848169,36695223;5,6,36695223,36748810;6,7,36748810,36978561;7,8,36978561,37283236;8,9,37283236,37589161;9,10,37589161,37896336;10,11,37896336,38204761;11,12,38204761,38312725;12,13,38312725,35958711;13,14,35958711,32670539;14,15,32670539,32389444;15,16,32389444,29780133;16,17,29780133,27727829;17,18,27727829,27409272;18,19,27409272,27075835;19,20,27075835,26506450;20,21,26506450,26467603;21,22,26467603,25903133;22,23,25903133,25382425;23,24,25382425,24905479;24,25,24905479,24472295;25,26,24472295,24082873;26,27,24082873,23737213;27,28,23737213,23614349;28,29,23614349,22809641;29,30,22809641,21530114;30,31,21530114,20632998;31,32,20632998,20299140;32,33,20299140,19116718;33,34,19116718,17982848;34,35,17982848,16897530;35,36,16897530,15860764;36,37,15860764,14872551;37,38,14872551,13932889;38,39,13932889,13041780;39,40,13041780,12199223;40,41,12199223,11405218;41,42,11405218,10659766;42,43,10659766,9962865;43,44,9962865,9314517;44,45,9314517,8825177;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;142986221417/37771650000,1/3,164805644567/75543300000;-17571707173081
2;0,3,6;19/48,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;19/48,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;53/24,5/3,31/48;-3
10;0,6;1/3,1;-1
11;2,3,7;91/48,4/3,31/48;-1
14;0,6;1/3,1;-1
15;2,3,10;91/48,4/3,31/48;-1
18;1,4,8;121166798267/25181100000,1,164805644567/75543300000;-14573957173081
20;0,3,8;25/24,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;55708528817/12590550000,5,164805644567/75543300000;-1084082173081
26;0,8;1/3,1;-1
27;2,3,10;91/48,4/3,31/48;-1
29;1,3,9;3/8,3,21/16;-3
30;1,4,11;121166798267/25181100000,1,164805644567/75543300000;-14573957173081
32;0,3,11;25/24,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;55708528817/12590550000,5,164805644567/75543300000;-1084082173081
38;0,11;1/3,1;-1
39;2,3,7;91/48,4/3,31/48;-1
41;1,3,12;3/8,3,21/16;-3
42;1,4,14;142986221417/37771650000,1/3,164805644567/75543300000;-17571707173081
43;0,3,14;19/48,3,1;-2
45;0,3,14;19/48,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;91/48,4/3,31/48;-1
56;2,3,7;91/48,4/3,31/48;-1
58;2,3,10;91/48,4/3,31/48;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;19/48,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
66;0,3,6;19/48,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;77/24,5/3,13/16;-1
70;0,6;1/3,1;-1
72;1,4,6;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
80;0,3,8;25/24,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;64081244567/12590550000,4,164805644567/75543300000;-5580707173081
84;1,4,8;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
86;0,8;1/3,1;-1
89;1,3,9;3/8,3,21/16;-3
90;1,11;3,1;-2
91;1,4,11;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
92;0,3,11;25/24,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;64081244567/12590550000,4,164805644567/75543300000;-5580707173081
96;1,4,11;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
98;0,11;1/3,1;-1
101;1,3,12;3/8,3,21/16;-3
102;0,1,14;2/3,2,1;-1
103;0,3,14;19/48,3,1;-2
104;1,4,14;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
105;0,3,14;19/48,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;64081244567/15108660000,10/3,164805644567/75543300000;-3582207173081
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;77/24,5/3,13/16;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;23598248423/4721456250,5/3,164805644567/75543300000;-8578457173081
122;0,3,6;19/48,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
126;0,3,6;19/48,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;101/24,13/6,17/16;-1
130;0,6;1/3,1;-1
132;1,4,6;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
134;0,6;1/3,1;-1
136;1,4,6;62043215809/18885825000,19/3,164805644567/75543300000;-784307173081
138;0,1,8;1,3,1;-2
139;1,4,8;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
140;0,3,8;25/24,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;80310463517/12590550000,3,164805644567/75543300000;-10077332173081
143;1,4,8;62043215809/18885825000,19/3,164805644567/75543300000;-784307173081
144;1,4,8;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
146;0,8;1/3,1;-1
148;1,4,8;62043215809/18885825000,19/3,164805644567/75543300000;-784307173081
149;1,3,9;3/8,3,21/16;-3
150;0,1,11;1,3,1;-2
151;1,4,11;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
152;0,3,11;25/24,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;80310463517/12590550000,3,164805644567/75543300000;-10077332173081
155;1,4,11;62043215809/18885825000,19/3,164805644567/75543300000;-784307173081
156;1,4,11;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
158;0,11;1/3,1;-1
160;1,4,11;62043215809/18885825000,19/3,164805644567/75543300000;-784307173081
161;1,3,12;3/8,3,21/16;-3
162;0,1,14;5/3,2,1;-1
163;0,3,14;19/48,3,1;-2
164;1,4,14;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
165;0,3,14;19/48,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;85943475587/15108660000,7/3,164805644567/75543300000;-9577707173081
169;0,14;1/3,1;-1
170;1,4,14;62043215809/18885825000,19/3,164805644567/75543300000;-784307173081
171;1,4,14;23598248423/4721456250,5/3,164805644567/75543300000;-8578457173081
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;101/24,13/6,17/16;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;641185230704,16152604583790683925000,5071920564903,200
4;1,4,6,3;641185230704,8414220185159542740000,17803847575524,304
5;5,4,2,3;17803847575524,230754434152499980380000,25429637698512,2160
12;1,4,6,3;641185230704,8414220185159542740000,17803847575524,304
13;5,4,2,3;17803847575524,230754434152499980380000,25429637698512,2160
16;1,4,6,3;641185230704,605318342639737615875000,1311705719343,170
17;5,4,2,3;1311705719343,27818549334374959125000,25429637698512,66
19;1,4,8,3;641185230704,8414220185159542740000,17803847575524,304
23;7,4,8,3;17803847575524,150840112100412019635000,1311705719343,678
24;1,4,8,3;641185230704,8414220185159542740000,17803847575524,304
25;7,4,2,3;5071920564903,39532699003124991825000,25429637698512,168
28;7,4,8,3;17803847575524,150840112100412019635000,1311705719343,678
31;1,4,11,3;641185230704,8414220185159542740000,17803847575524,304
35;10,4,11,3;17803847575524,150840112100412019635000,1311705719343,678
36;1,4,11,3;641185230704,8414220185159542740000,17803847575524,304
37;10,4,2,3;5071920564903,39532699003124991825000,25429637698512,168
40;10,4,11,3;17803847575524,150840112100412019635000,1311705719343,678
44;1,4,14,3;641185230704,8414220185159542740000,17803847575524,304
48;1,4,14,3;641185230704,8414220185159542740000,17803847575524,304
50;1,4,14,3;641185230704,605318342639737615875000,1311705719343,170
51;1,4,14,3;641185230704,16152604583790683925000,5071920564903,200
53;13,4,2,3;17803847575524,230754434152499980380000,25429637698512,2160
57;13,4,2,3;17803847575524,230754434152499980380000,25429637698512,2160
59;13,4,2,3;1311705719343,27818549334374959125000,25429637698512,66
61;1,4,6,3;641185230704,15667409480895046350000,692804936514,8
65;1,4,9,3;641185230704,25844167334065094280000,186714857076336,800
71;7,4,2,3;186714857076336,68665544046575962920000,2276327356208,352
73;1,4,12,3;641185230704,25844167334065094280000,186714857076336,800
75;10,4,2,3;186714857076336,68665544046575962920000,2276327356208,352
76;1,4,6,3;641185230704,12074020512601709812500,8729335479771,74
77;5,4,2,3;8729335479771,36521185205587442062500,2276327356208,70
83;1,4,8,3;641185230704,12074020512601709812500,8729335479771,74
85;7,4,12,3;692804936514,105404232191966990730000,186714857076336,1128
87;10,4,2,3;186714857076336,68665544046575962920000,2276327356208,352
88;1,4,8,3;641185230704,12074020512601709812500,8729335479771,74
95;1,4,11,3;641185230704,12074020512601709812500,8729335479771,74
97;10,4,9,3;692804936514,105404232191966990730000,186714857076336,1128
99;7,4,2,3;186714857076336,68665544046575962920000,2276327356208,352
100;1,4,11,3;641185230704,12074020512601709812500,8729335479771,74
110;1,4,14,3;641185230704,12074020512601709812500,8729335479771,74
111;1,4,14,3;641185230704,15667409480895046350000,692804936514,8
113;1,4,9,3;641185230704,25844167334065094280000,186714857076336,800
116;7,4,2,3;186714857076336,68665544046575962920000,2276327356208,352
117;1,4,12,3;641185230704,25844167334065094280000,186714857076336,800
118;10,4,2,3;186714857076336,68665544046575962920000,2276327356208,352
119;13,4,2,3;8729335479771,36521185205587442062500,2276327356208,70
125;1,4,9,3;641185230704,12533927584716037080000,1648082785176,32
131;7,4,2,3;1648082785176,72300441097105131960000,12678836175952,32
133;1,4,12,3;641185230704,12533927584716037080000,1648082785176,32
135;10,4,2,3;1648082785176,72300441097105131960000,12678836175952,32
137;1,4,2,3;641185230704,169844945681250000000000,12678836175952,64
145;1,4,12,3;641185230704,12533927584716037080000,1648082785176,32
147;10,4,2,3;1648082785176,72300441097105131960000,12678836175952,32
157;1,4,9,3;641185230704,12533927584716037080000,1648082785176,32
159;7,4,2,3;1648082785176,72300441097105131960000,12678836175952,32
173;1,4,9,3;641185230704,12533927584716037080000,1648082785176,32
176;7,4,2,3;1648082785176,72300441097105131960000,12678836175952,32
177;1,4,12,3;641185230704,12533927584716037080000,1648082785176,32
178;10,4,2,3;1648082785176,72300441097105131960000,12678836175952,32
179;1,4,2,3;641185230704,169844945681250000000000,12678836175952,64
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
16:V/3,1/13/0/1;V/6,3/14/0/15;E/4,1/15/0/1;E/4,6/16/0/15;E/4,3/17/1/15
17:V/3,5/14/0/15;V/2,3/18/0/18;E/4,5/16/0/15;E/4,2/19/0/18;E/4,3/20/15/18
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/15;E/4,7/8/0/6;E/4,8/16/0/15;E/4,3/12/6/15
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/12;V/2,3/21/0/18;E/4,7/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
28:V/3,7/6/0/6;V/8,3/14/0/15;E/4,7/8/0/6;E/4,8/16/0/15;E/4,3/12/6/15
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/15;E/4,10/8/0/6;E/4,11/16/0/15;E/4,3/12/6/15
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/12;V/2,3/21/0/18;E/4,10/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
40:V/3,10/6/0/6;V/11,3/14/0/15;E/4,10/8/0/6;E/4,11/16/0/15;E/4,3/12/6/15
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/15;E/4,1/15/0/1;E/4,14/16/0/15;E/4,3/17/1/15
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
57:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
59:V/3,13/14/0/15;V/2,3/18/0/18;E/4,13/16/0/15;E/4,2/19/0/18;E/4,3/20/15/18
61:V/3,1/24/0/1;V/6,3/25/0/3;E/4,1/26/0/1;E/4,6/27/0/3;E/4,3/28/1/3
65:V/3,1/29/0/1;V/9,3/30/0/28;E/4,1/31/0/1;E/4,9/32/0/28;E/4,3/33/1/28
71:V/3,7/30/0/28;V/2,3/34/0/45;E/4,7/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
73:V/3,1/29/0/1;V/12,3/30/0/28;E/4,1/31/0/1;E/4,12/32/0/28;E/4,3/33/1/28
75:V/3,10/30/0/28;V/2,3/34/0/45;E/4,10/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
76:V/3,1/37/0/1;V/6,3/38/0/20;E/4,1/39/0/1;E/4,6/40/0/20;E/4,3/41/1/20
77:V/3,5/38/0/20;V/2,3/42/0/45;E/4,5/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
83:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
85:V/3,7/25/0/3;V/12,3/45/0/28;E/4,7/27/0/3;E/4,12/46/0/28;E/4,3/47/3/28
87:V/3,10/45/0/28;V/2,3/48/0/45;E/4,10/46/0/28;E/4,2/49/0/45;E/4,3/50/28/45
88:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
95:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
97:V/3,10/25/0/3;V/9,3/45/0/28;E/4,10/27/0/3;E/4,9/46/0/28;E/4,3/47/3/28
99:V/3,7/45/0/28;V/2,3/48/0/45;E/4,7/46/0/28;E/4,2/49/0/45;E/4,3/50/28/45
100:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
110:V/3,1/37/0/1;V/14,3/38/0/20;E/4,1/39/0/1;E/4,14/40/0/20;E/4,3/41/1/20
111:V/3,1/24/0/1;V/14,3/25/0/3;E/4,1/26/0/1;E/4,14/27/0/3;E/4,3/28/1/3
113:V/3,1/29/0/1;V/9,3/30/0/28;E/4,1/31/0/1;E/4,9/32/0/28;E/4,3/33/1/28
116:V/3,7/30/0/28;V/2,3/34/0/45;E/4,7/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
117:V/3,1/29/0/1;V/12,3/30/0/28;E/4,1/31/0/1;E/4,12/32/0/28;E/4,3/33/1/28
118:V/3,10/30/0/28;V/2,3/34/0/45;E/4,10/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
119:V/3,13/38/0/20;V/2,3/42/0/45;E/4,13/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
125:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
131:V/3,7/52/0/4;V/2,3/56/0/31;E/4,7/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
133:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
135:V/3,10/52/0/4;V/2,3/56/0/31;E/4,10/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/4;E/4,1/66/0/1;E/4,12/67/0/4;E/4,3/68/1/4
147:V/3,10/65/0/4;V/2,3/69/0/31;E/4,10/67/0/4;E/4,2/70/0/31;E/4,3/71/4/31
157:V/3,1/64/0/1;V/9,3/65/0/4;E/4,1/66/0/1;E/4,9/67/0/4;E/4,3/68/1/4
159:V/3,7/65/0/4;V/2,3/69/0/31;E/4,7/67/0/4;E/4,2/70/0/31;E/4,3/71/4/31
173:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
176:V/3,7/52/0/4;V/2,3/56/0/31;E/4,7/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
177:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
178:V/3,10/52/0/4;V/2,3/56/0/31;E/4,10/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37587871/100000000,37711497/100000000;6,375878,0,173870,600600,600600,84503100;10,3771149700,0,1741654925,6016212704,6016212704,1522681261143
1;C;0,3;7381757/20000000;4,3690,0,0,6006,6006,1655928;4,3690,0,0,6036,6036,933408
1;C;3,4;36848169/100000000;4,3684,0,0,6036,6036,813408;4,3684,0,0,6039,6039,740958
1;C;4,5;36695223/100000000;4,3669,0,0,6039,6039,440958;4,3669,0,0,6056,6056,29728
1;L;5,6;36695223/100000000,3674881/10000000;4,3669,0,0,6056,6056,29728;10,3674881000,0,0,6062079621,6062079621,1337312992718
1;L;6,7;3674881/10000000,36978561/100000000;10,3674881000,0,0,6062079621,6062079621,1337312992718;8,36978561,0,0,60810000,60810000,0
1;L;7,8;36978561/100000000,9320809/25000000;8,36978561,0,0,60810000,60810000,0;8,37283236,0,0,61060000,61060000,0
1;L;8,9;9320809/25000000,37589161/100000000;8,37283236,0,0,61060000,61060000,0;8,37589161,0,0,61310000,61310000,0
1;L;9,10;37589161/100000000,2368521/6250000;8,37589161,0,0,61310000,61310000,0;8,37896336,0,0,61560000,61560000,0
1;L;10,11;2368521/6250000,38204761/100000000;8,37896336,0,0,61560000,61560000,0;8,38204761,0,0,61810000,61810000,0
1;L;11,12;38204761/100000000,1532509/4000000;8,38204761,0,0,61810000,61810000,0;8,38312725,0,0,61897273,61897273,190326942
2;L;0,1;37587871/100000000,37711497/100000000;8,37587871,0,60060000,60060000,17411687,155814031;10,3771149700,0,6016212704,6016212704,1741654925,1522681261143
3;C;0,3;7381757/20000000;4,3690,0,0,6006,6006,1655928;4,3690,0,0,6036,6036,933408
3;C;3,4;36848169/100000000;4,3684,0,0,6036,6036,813408;4,3684,0,0,6039,6039,740958
3;C;4,5;36695223/100000000;4,3669,0,0,6039,6039,440958;4,3669,0,0,6056,6056,29728
3;L;5,6;36695223/100000000,3674881/10000000;4,3669,0,0,6056,6056,29728;10,3674881000,0,0,6062079621,6062079621,1337312992718
3;L;6,7;3674881/10000000,36978561/100000000;10,3674881000,0,0,6062079621,6062079621,1337312992718;8,36978561,0,0,60810000,60810000,0
3;L;7,8;36978561/100000000,9320809/25000000;8,36978561,0,0,60810000,60810000,0;8,37283236,0,0,61060000,61060000,0
3;L;8,9;9320809/25000000,37589161/100000000;8,37283236,0,0,61060000,61060000,0;8,37589161,0,0,61310000,61310000,0
3;L;9,10;37589161/100000000,2368521/6250000;8,37589161,0,0,61310000,61310000,0;8,37896336,0,0,61560000,61560000,0
3;L;10,11;2368521/6250000,38204761/100000000;8,37896336,0,0,61560000,61560000,0;8,38204761,0,0,61810000,61810000,0
3;L;11,12;38204761/100000000,1532509/4000000;8,38204761,0,0,61810000,61810000,0;8,38312725,0,0,61897273,61897273,190326942
4;L;1,2;37711497/100000000,18528031/50000000;10,3771149700,6016212704,6016212704,0,1741654925,1522681261143;8,37056062,60310000,60310000,0,11688458,149582236
4;L;2,3;18528031/50000000,7381757/20000000;8,37056062,60310000,60310000,0,11688458,149582236;8,36908785,60359994,60359994,0,9751883,26594239
4;L;3,4;7381757/20000000,36848169/100000000;8,36908785,60359994,60359994,0,9751883,26594239;10,3684816900,6038547372,6038547372,0,876486509,671764780151
4;L;4,5;36848169/100000000,36695223/100000000;10,3684816900,6038547372,6038547372,0,876486509,671764780151;8,36695223,60560000,60560000,0,2004316,117372144
4;L;5,6;36695223/100000000,3674881/10000000;8,36695223,60560000,60560000,0,2004316,117372144;10,3674881000,6062079621,6062079621,0,0,1337312992718
4;L;6,7;3674881/10000000,36978561/100000000;10,3674881000,6062079621,6062079621,0,0,1337312992718;8,36978561,60810000,60810000,0,0,0
4;L;7,8;36978561/100000000,9320809/25000000;8,36978561,60810000,60810000,0,0,0;8,37283236,61060000,61060000,0,0,0
4;L;8,9;9320809/25000000,37589161/100000000;8,37283236,61060000,61060000,0,0,0;8,37589161,61310000,61310000,0,0,0
4;L;9,10;37589161/100000000,2368521/6250000;8,37589161,61310000,61310000,0,0,0;8,37896336,61560000,61560000,0,0,0
4;L;10,11;2368521/6250000,38204761/100000000;8,37896336,61560000,61560000,0,0,0;8,38204761,61810000,61810000,0,0,0
4;L;11,12;38204761/100000000,1532509/4000000;8,38204761,61810000,61810000,0,0,0;8,38312725,61897273,61897273,0,0,190326942
5;C;0,1;37587871/100000000;4,3758,0,14,6006,6006,3015732;4,3758,0,14,6017,6017,2751226
6;C;0,3;7381757/20000000;4,3690,0,0,6006,6006,1655928;4,3690,0,0,6036,6036,933408
6;C;3,4;36848169/100000000;4,3684,0,0,6036,6036,813408;4,3684,0,0,6039,6039,740958
6;C;4,5;36695223/100000000;4,3669,0,0,6039,6039,440958;4,3669,0,0,6056,6056,29728
6;L;5,6;36695223/100000000,3674881/10000000;4,3669,0,0,6056,6056,29728;10,3674881000,0,0,6062079621,6062079621,1337312992718
7;C;0,1;37587871/100000000;4,3758,0,6006,6006,0,3015928;4,3758,14,6017,6017,0,2751226
8;C;0,3;7381757/20000000;4,3690,0,0,6006,6006,1655928;4,3690,0,0,6036,6036,933408
8;C;3,4;36848169/100000000;4,3684,0,0,6036,6036,813408;4,3684,0,0,6039,6039,740958
8;C;4,5;36695223/100000000;4,3669,0,0,6039,6039,440958;4,3669,0,0,6056,6056,29728
8;L;5,6;36695223/100000000,3674881/10000000;4,3669,0,0,6056,6056,29728;10,3674881000,0,0,6062079621,6062079621,1337312992718
9;C;1,3;7381757/20000000;4,3690,6017,6017,14,0,1391226;4,3690,6036,6036,0,0,933408
9;C;3,4;36848169/100000000;4,3684,6036,6036,0,0,813408;4,3684,6039,6039,0,0,740958
9;C;4,5;36695223/100000000;4,3669,6039,6039,0,0,440958;4,3669,6056,6056,0,0,29728
9;L;5,6;36695223/100000000,3674881/10000000;4,3669,6056,6056,0,0,29728;10,3674881000,6062079621,6062079621,0,0,1337312992718
10;C;0,18;3426159/12500000;2,27,0,0,0,61,1679;2,27,0,0,0,63,1431
11;C;0,18;3426159/12500000;2,27,0,0,61,0,1679;2,27,0,0,63,0,1431
12;C;6,12;3674881/10000000;10,3674881000,6062079621,0,0,6062079621,1337312992718;2,36,62,0,0,14,3160
12;C;12,18;3426159/12500000;2,27,62,0,0,14,1360;2,27,63,0,0,0,1431
13;C;0,1;37587871/100000000;2,37,1,1,50,61,1177;2,37,1,1,50,61,1177
14;C;0,15;8097361/25000000;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
15;C;0,1;37587871/100000000;2,37,0,0,61,50,1179;2,37,1,1,61,50,1177
16;C;0,15;8097361/25000000;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
17;C;1,15;8097361/25000000;2,32,61,1,1,50,177;2,32,63,0,0,0,2431
18;C;0,18;3426159/12500000;2,27,0,0,0,40,3800;2,27,0,0,0,42,3636
19;C;0,18;3426159/12500000;2,27,0,0,0,53,2591;2,27,0,0,0,42,3636
20;C;15,18;3426159/12500000;2,27,0,0,0,63,1431;2,27,0,0,0,42,3636
21;C;0,18;3426159/12500000;2,27,0,0,35,61,454;2,27,0,0,36,63,135
22;C;0,18;3426159/12500000;2,27,0,0,61,39,158;2,27,0,0,63,36,135
23;L;12,13;1532509/4000000,35958711/100000000;8,38312725,61897273,0,0,61897273,190326942;8,35958711,62060000,0,0,57795316,48460144
23;L;13,14;35958711/100000000,32670539/100000000;8,35958711,62060000,0,0,57795316,48460144;8,32670539,62310000,0,0,51493414,14624604
23;L;14,15;32670539/100000000,8097361/25000000;8,32670539,62310000,0,0,51493414,14624604;10,3238944400,6233288240,0,0,5091660357,526032334951
23;L;15,16;8097361/25000000,29780133/100000000;10,3238944400,6233288240,0,0,5091660357,526032334951;8,29780133,62560000,0,0,45191513,152770831
23;L;16,17;29780133/100000000,27727829/100000000;8,29780133,62560000,0,0,45191513,152770831;4,2772,6281,0,0,3889,864718
23;C;17,18;3426159/12500000;4,2740,6281,0,0,3889,224718;2,27,63,0,0,36,135
24;C;0,1;37587871/100000000;4,3758,0,0,6006,6006,3015928;4,3758,0,0,6017,6017,2751422
25;C;0,3;7381757/20000000;4,3690,0,0,6006,6006,1655928;4,3690,0,0,6036,6036,933408
26;C;0,1;37587871/100000000;4,3758,0,0,6006,6006,3015928;4,3758,0,0,6017,6017,2751422
27;C;0,3;7381757/20000000;4,3690,0,0,6006,6006,1655928;4,3690,0,0,6036,6036,933408
28;C;1,3;7381757/20000000;4,3690,6017,6017,0,0,1391422;4,3690,6036,6036,0,0,933408
29;C;0,1;37587871/100000000;2,37,0,0,34,61,2523;2,37,0,0,34,61,2523
30;C;0,28;23614349/100000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
31;C;0,1;37587871/100000000;2,37,0,0,61,34,2523;2,37,0,0,61,34,2523
32;C;0,28;23614349/100000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
33;C;1,14;32670539/100000000;2,32,61,0,0,34,1523;2,32,63,0,0,10,2331
33;C;14,28;23614349/100000000;2,23,63,0,0,10,531;2,23,65,0,0,0,375
34;C;0,45;8825177/100000000;2,8,0,0,0,28,816;2,8,0,0,0,32,576
35;C;0,45;8825177/100000000;2,8,0,0,0,40,0;2,8,0,0,0,32,576
36;C;28,30;10765057/50000000;4,2153,0,0,0,6491,926919;2,21,0,0,0,62,356
36;C;30,32;1014957/5000000;2,20,0,0,0,62,156;2,20,0,0,0,60,400
36;C;32,34;140491/781250;4,1798,0,0,0,5923,878071;2,17,0,0,0,55,375
36;C;34,36;3965191/25000000;4,1586,0,0,0,5488,1601856;2,15,0,0,0,51,399
36;C;36,38;13932889/100000000;4,1393,0,0,0,5053,2327191;2,13,0,0,0,47,391
36;C;38,40;12199223/100000000;2,12,0,0,0,47,191;2,12,0,0,0,42,636
36;C;40,45;8825177/100000000;4,882,0,0,0,4183,142511;2,8,0,0,0,32,576
37;C;0,1;37587871/100000000;2,37,0,0,5,61,3654;2,37,0,0,5,61,3654
38;C;0,20;530129/2000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
39;C;0,1;37587871/100000000;2,37,0,0,61,6,3643;2,37,0,0,61,5,3654
40;C;0,20;530129/2000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
41;C;1,20;530129/2000000;2,26,61,0,0,5,1454;2,26,64,0,0,0,1104
42;C;0,45;8825177/100000000;2,8,0,0,0,9,1519;2,8,0,0,0,10,1500
43;C;0,22;25903133/100000000;2,25,0,0,0,43,3151;2,25,0,0,0,30,4100
43;C;22,45;8825177/100000000;2,8,0,0,0,30,700;2,8,0,0,0,10,1500
44;C;20,32;1014957/5000000;4,2029,0,0,0,6330,511100;2,20,0,0,0,41,2319
44;C;32,45;8825177/100000000;4,882,0,0,0,4090,911900;2,8,0,0,0,10,1500
45;C;0,28;23614349/100000000;2,23,0,0,21,61,438;8,23614349,0,0,22580850,64907434,24813144
46;C;0,28;23614349/100000000;2,23,0,0,19,61,518;8,23614349,0,0,22580850,64907434,24813144
47;C;3,9;36695223/100000000;4,3669,6036,0,0,6036,513408;2,36,62,0,0,53,547
47;C;9,12;37589161/100000000;2,37,62,0,0,53,747;2,37,62,0,0,48,1252
47;C;12,15;8097361/25000000;2,32,62,0,0,48,252;2,32,63,0,0,44,495
47;C;15,16;29780133/100000000;4,2978,6234,0,0,4397,1363635;4,2978,6256,0,0,4209,2706783
47;L;16,17;29780133/100000000,27727829/100000000;4,2978,6256,0,0,4209,2706783;10,2772782900,6281000000,0,0,4000587073,71345292671
47;L;17,18;27727829/100000000,3426159/12500000;10,2772782900,6281000000,0,0,4000587073,71345292671;10,2740927200,6293005299,0,0,3900849659,244637504318
47;L;18,19;3426159/12500000,5415167/20000000;10,2740927200,6293005299,0,0,3900849659,244637504318;8,27075835,63060000,0,0,37928925,48344375
47;L;19,20;5415167/20000000,530129/2000000;8,27075835,63060000,0,0,37928925,48344375;8,26506450,63293478,0,0,35989243,30950467
47;L;20,21;530129/2000000,26467603/100000000;8,26506450,63293478,0,0,35989243,30950467;8,26467603,63310000,0,0,35851980,30079600
47;L;21,22;26467603/100000000,25903133/100000000;8,26467603,63310000,0,0,35851980,30079600;8,25903133,63560000,0,0,33775034,78298844
47;L;22,23;25903133/100000000,1015297/4000000;8,25903133,63560000,0,0,33775034,78298844;8,25382425,63810000,0,0,31698088,117144256
47;L;23,24;1015297/4000000,24905479/100000000;8,25382425,63810000,0,0,31698088,117144256;8,24905479,64060000,0,0,29621142,146615836
47;L;24,25;24905479/100000000,4894459/20000000;8,24905479,64060000,0,0,29621142,146615836;8,24472295,64310000,0,0,27544197,111625191
47;L;25,26;4894459/20000000,24082873/100000000;8,24472295,64310000,0,0,27544197,111625191;8,24082873,64560000,0,0,25467251,126502999
47;L;26,27;24082873/100000000,23737213/100000000;8,24082873,64560000,0,0,25467251,126502999;8,23737213,64810000,0,0,23390305,132006975
47;L;27,28;23737213/100000000,23614349/100000000;8,23737213,64810000,0,0,23390305,132006975;8,23614349,64907434,0,0,22580850,24813144
48;C;0,45;8825177/100000000;2,8,0,0,25,28,191;10,882517700,0,0,2795833884,3135867735,441663444319
49;C;0,22;25903133/100000000;2,25,0,0,20,40,3000;2,25,0,0,23,37,3102
49;C;22,33;9558359/50000000;2,19,0,0,23,37,1902;2,19,0,0,26,35,1899
49;C;33,39;652089/5000000;2,13,0,0,26,35,699;2,13,0,0,27,33,782
49;C;39,42;5329883/50000000;2,10,0,0,27,33,182;2,10,0,0,28,33,127
49;C;42,43;1992573/20000000;4,996,0,0,2726,3202,2236120;4,996,0,0,2751,3178,2252315
49;C;43,44;9314517/100000000;4,931,0,0,2751,3178,952315;4,931,0,0,2776,3155,959799
49;L;44,45;9314517/100000000,8825177/100000000;4,931,0,0,2776,3155,959799;10,882517700,0,0,2795833884,3135867735,441663444319
50;L;28,29;23614349/100000000,22809641/100000000;8,23614349,22580850,0,0,64907434,24813144;8,22809641,22793673,0,0,63579687,72151102
50;L;29,30;22809641/100000000,10765057/50000000;8,22809641,22793673,0,0,63579687,72151102;10,2153011400,2314240971,0,0,6140400344,343549658823
50;L;30,31;10765057/50000000,10316499/50000000;10,2153011400,2314240971,0,0,6140400344,343549658823;10,2063299800,2339519294,0,0,5982695474,338381656888
50;L;31,32;10316499/50000000,1014957/5000000;10,2063299800,2339519294,0,0,5982695474,338381656888;8,20299140,23491148,0,0,59228320,75619696
50;L;32,33;1014957/5000000,9558359/50000000;8,20299140,23491148,0,0,59228320,75619696;8,19116718,23839886,0,0,57052637,46853235
50;L;33,34;9558359/50000000,140491/781250;8,19116718,23839886,0,0,57052637,46853235;8,17982848,24188623,0,0,54876954,37045755
50;L;34,35;140491/781250,1689753/10000000;8,17982848,24188623,0,0,54876954,37045755;8,16897530,24537361,0,0,52701270,55542779
50;L;35,36;1689753/10000000,3965191/25000000;8,16897530,24537361,0,0,52701270,55542779;10,1586076400,2488609810,0,0,5052558625,554509873275
50;L;36,37;3965191/25000000,14872551/100000000;10,1586076400,2488609810,0,0,5052558625,554509873275;8,14872551,25234836,0,0,48349903,131943695
50;L;37,38;14872551/100000000,13932889/100000000;8,14872551,25234836,0,0,48349903,131943695;10,1393288900,2558357345,0,0,4617421937,350995719006
50;L;38,39;13932889/100000000,652089/5000000;10,1393288900,2558357345,0,0,4617421937,350995719006;8,13041780,25932312,0,0,43998536,24191360
50;L;39,40;652089/5000000,12199223/100000000;8,13041780,25932312,0,0,43998536,24191360;8,12199223,26281049,0,0,41822853,30399990
50;L;40,41;12199223/100000000,5702609/50000000;8,12199223,26281049,0,0,41822853,30399990;10,1140521800,2662978649,0,0,3964716906,570247921963
50;L;41,42;5702609/50000000,5329883/50000000;10,1140521800,2662978649,0,0,3964716906,570247921963;8,10659766,26978525,0,0,37471486,125776179
50;L;42,43;5329883/50000000,1992573/20000000;8,10659766,26978525,0,0,37471486,125776179;8,9962865,27327262,0,0,35295803,42168547
50;L;43,44;1992573/20000000,9314517/100000000;8,9962865,27327262,0,0,35295803,42168547;8,9314517,27676000,0,0,33120119,141425839
50;L;44,45;9314517/100000000,8825177/100000000;8,9314517,27676000,0,0,33120119,141425839;10,882517700,2795833884,0,0,3135867735,441663444319
51;C;0,1;37587871/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
52;C;0,4;36848169/100000000;2,36,0,0,0,61,3479;2,36,0,0,0,61,3479
53;C;0,1;37587871/100000000;2,37,0,0,61,0,3679;2,37,0,0,61,0,3679
54;C;0,4;36848169/100000000;2,36,0,0,0,61,3479;2,36,0,0,0,61,3479
55;C;1,4;36848169/100000000;2,36,61,0,0,0,3479;2,36,61,0,0,0,3479
56;C;0,31;10316499/50000000;2,20,0,0,0,22,3516;2,20,0,0,0,24,3424
57;C;0,31;10316499/50000000;2,20,0,0,0,29,3159;2,20,0,0,0,24,3424
58;C;4,31;10316499/50000000;2,20,0,0,0,61,279;2,20,0,0,0,24,3424
59;C;0,1;37587871/100000000;2,37,0,0,0,50,4900;2,37,0,0,0,50,4900
60;C;0,31;10316499/50000000;2,20,0,0,0,7,3951;2,20,0,0,0,7,3951
61;C;0,1;37587871/100000000;2,37,0,0,0,51,4799;2,37,0,0,0,50,4900
62;C;0,31;10316499/50000000;2,20,0,0,0,28,3216;2,20,0,0,0,7,3951
63;C;1,31;10316499/50000000;2,20,0,0,0,50,1500;2,20,0,0,0,7,3951
64;C;0,1;37587871/100000000;2,37,0,0,18,61,3355;2,37,0,0,18,61,3355
65;C;0,4;36848169/100000000;2,36,0,0,16,61,3223;2,36,0,0,16,61,3223
66;C;0,1;37587871/100000000;2,37,0,0,61,18,3355;2,37,0,0,61,18,3355
67;C;0,4;36848169/100000000;2,36,0,0,16,61,3223;2,36,0,0,16,61,3223
68;C;1,4;36848169/100000000;2,36,61,0,0,18,3155;2,36,61,0,0,16,3223
69;C;0,31;10316499/50000000;2,20,0,0,19,22,3155;2,20,0,0,21,24,2983
70;C;0,31;10316499/50000000;2,20,0,0,16,29,2903;2,20,0,0,21,24,2983
71;C;4,31;10316499/50000000;2,20,16,0,0,61,23;2,20,21,0,0,24,2983
MASS SLACK NUMERATOR 28880668033047736909183037128237632785035176798237525210899823333132943597193325361459098386540381633672251049174052105847
BIN 31: PATH2; (21/16,221/168]; gamma0=601/1000; mass ceiling=19879341/20000000.
GAMMA 0=601/1000;1=14196487500/23583842081;2=1207/2000;3=14003775000/23198417081;4=7034006250/11648221753;5=303/500;6=48435075000/79863301949;7=1217/2000;8=611/1000;9=1227/2000;10=77/125;11=1237/2000;12=17215650000/27797379937;13=621/1000;14=1247/2000;15=15759600000/25274045287;16=313/500;17=1257/2000;18=7001887500/11115600281;19=631/1000;20=11477100000/18145067081;21=1267/2000;22=159/250;23=1277/2000;24=641/1000;25=1287/2000;26=323/500;27=1297/2000;28=10470712500/16132292081;29=651/1000;30=1307/2000;31=5749256250/8774236003;32=82/125;33=1317/2000;34=661/1000;35=1327/2000;36=333/500;37=1337/2000;38=671/1000;39=1347/2000;40=169/250;41=1357/2000;42=681/1000;43=1367/2000;44=343/500;45=8800537500/12791942081;46=1377/2000;47=691/1000;48=1387/2000;49=87/125;50=1397/2000;51=701/1000;52=1407/2000;53=353/500;54=1417/2000;55=711/1000;56=1427/2000;57=179/250;58=1437/2000;59=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37585890,37701843;1,2,37701843,37047867;2,3,37047867,37002416;3,4,37002416,36943450;4,5,36943450,36736054;5,6,36736054,36781161;6,7,36781161,37027225;7,8,37027225,37332100;8,9,37332100,37638225;9,10,37638225,37945600;10,11,37945600,38254225;11,12,38254225,38356514;12,13,38356514,35941929;13,14,35941929,32665689;14,15,32665689,32605706;15,16,32605706,29785428;16,17,29785428,27602039;17,18,27602039,27229964;18,19,27229964,26954415;19,20,26954415,26582483;20,21,26582483,26350953;21,22,26350953,25791652;22,23,25791652,25276512;23,24,25276512,24805534;24,25,24805534,24378718;25,26,24378718,23996063;26,27,23996063,23657570;27,28,23657570,23588660;28,29,23588660,22559300;29,30,22559300,21281221;30,31,21281221,20419203;31,32,20419203,20052213;32,33,20052213,18872276;33,34,18872276,17741410;34,35,17741410,16659616;35,36,16659616,15626893;36,37,15626893,14643241;37,38,14643241,13708661;38,39,13708661,12823151;39,40,12823151,11986713;40,41,11986713,11199346;41,42,11199346,10461050;42,43,10461050,9771826;43,44,9771826,9131673;44,45,9131673,8660627;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;20466781631/5395950000,1/3,23583842081/10791900000;-10576589090681
2;0,3,6;65/168,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;65/168,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;187/84,5/3,109/168;-31
10;0,6;1/3,1;-1
11;2,3,7;107/56,4/3,109/168;-1
14;0,6;1/3,1;-1
15;2,3,10;107/56,4/3,109/168;-1
18;1,4,8;17349721181/3597300000,1,23583842081/10791900000;-8777939090681
20;0,3,8;29/28,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;7998539831/1798650000,5,23583842081/10791900000;-684014090681
26;0,8;1/3,1;-1
27;2,3,10;107/56,4/3,109/168;-1
29;1,3,9;31/84,3,221/168;-31
30;1,4,11;17349721181/3597300000,1,23583842081/10791900000;-8777939090681
32;0,3,11;29/28,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;7998539831/1798650000,5,23583842081/10791900000;-684014090681
38;0,11;1/3,1;-1
39;2,3,7;107/56,4/3,109/168;-1
41;1,3,12;31/84,3,221/168;-31
42;1,4,14;20466781631/5395950000,1/3,23583842081/10791900000;-10576589090681
43;0,3,14;65/168,3,1;-2
45;0,3,14;65/168,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;107/56,4/3,109/168;-1
56;2,3,7;107/56,4/3,109/168;-1
58;2,3,10;107/56,4/3,109/168;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;65/168,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
66;0,3,6;65/168,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;271/84,5/3,137/168;-1
70;0,6;1/3,1;-1
72;1,4,6;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
80;0,3,8;29/28,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;9194642081/1798650000,4,23583842081/10791900000;-3381989090681
84;1,4,8;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
86;0,8;1/3,1;-1
89;1,3,9;31/84,3,221/168;-31
90;1,11;3,1;-2
91;1,4,11;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
92;0,3,11;29/28,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;9194642081/1798650000,4,23583842081/10791900000;-3381989090681
96;1,4,11;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
98;0,11;1/3,1;-1
101;1,3,12;31/84,3,221/168;-31
102;0,1,14;2/3,2,1;-1
103;0,3,14;65/168,3,1;-2
104;1,4,14;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
105;0,3,14;65/168,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;9194642081/2158380000,10/3,23583842081/10791900000;-2182889090681
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;271/84,5/3,137/168;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;3381222989/674493750,5/3,23583842081/10791900000;-5180639090681
122;0,3,6;65/168,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
126;0,3,6;65/168,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;355/84,13/6,179/168;-1
130;0,6;1/3,1;-1
132;1,4,6;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
134;0,6;1/3,1;-1
136;1,4,6;8943673687/2697975000,19/3,23583842081/10791900000;-504149090681
138;0,1,8;1,3,1;-2
139;1,4,8;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
140;0,3,8;29/28,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;11513101931/1798650000,3,23583842081/10791900000;-6079964090681
143;1,4,8;8943673687/2697975000,19/3,23583842081/10791900000;-504149090681
144;1,4,8;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
146;0,8;1/3,1;-1
148;1,4,8;8943673687/2697975000,19/3,23583842081/10791900000;-504149090681
149;1,3,9;31/84,3,221/168;-31
150;0,1,11;1,3,1;-2
151;1,4,11;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
152;0,3,11;29/28,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;11513101931/1798650000,3,23583842081/10791900000;-6079964090681
155;1,4,11;8943673687/2697975000,19/3,23583842081/10791900000;-504149090681
156;1,4,11;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
158;0,11;1/3,1;-1
160;1,4,11;8943673687/2697975000,19/3,23583842081/10791900000;-504149090681
161;1,3,12;31/84,3,221/168;-31
162;0,1,14;5/3,2,1;-1
163;0,3,14;65/168,3,1;-2
164;1,4,14;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
165;0,3,14;65/168,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;12317817941/2158380000,7/3,23583842081/10791900000;-5780189090681
169;0,14;1/3,1;-1
170;1,4,14;8943673687/2697975000,19/3,23583842081/10791900000;-504149090681
171;1,4,14;3381222989/674493750,5/3,23583842081/10791900000;-5180639090681
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;355/84,13/6,179/168;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;3796532765592,15139041651819929025000,10697917815123,7308
4;1,4,6,3;3796532765592,9158508655367829660000,36727364406684,840
5;5,4,2,3;36727364406684,19963994748112118340000,53997170827992,26712
12;1,4,6,3;3796532765592,9158508655367829660000,36727364406684,840
13;5,4,2,3;36727364406684,19963994748112118340000,53997170827992,26712
16;1,4,6,3;3796532765592,51431644590349645125000,35903623298319,6195
17;5,4,2,3;35903623298319,2769953855233579875000,53997170827992,861
19;1,4,8,3;3796532765592,9158508655367829660000,36727364406684,840
23;7,4,8,3;36727364406684,12897585472730630805000,35903623298319,8295
24;1,4,8,3;3796532765592,9158508655367829660000,36727364406684,840
25;7,4,2,3;10697917815123,3465618411296715975000,53997170827992,2100
28;7,4,8,3;36727364406684,12897585472730630805000,35903623298319,8295
31;1,4,11,3;3796532765592,9158508655367829660000,36727364406684,840
35;10,4,11,3;36727364406684,12897585472730630805000,35903623298319,8295
36;1,4,11,3;3796532765592,9158508655367829660000,36727364406684,840
37;10,4,2,3;10697917815123,3465618411296715975000,53997170827992,2100
40;10,4,11,3;36727364406684,12897585472730630805000,35903623298319,8295
44;1,4,14,3;3796532765592,9158508655367829660000,36727364406684,840
48;1,4,14,3;3796532765592,9158508655367829660000,36727364406684,840
50;1,4,14,3;3796532765592,51431644590349645125000,35903623298319,6195
51;1,4,14,3;3796532765592,15139041651819929025000,10697917815123,7308
53;13,4,2,3;36727364406684,19963994748112118340000,53997170827992,26712
57;13,4,2,3;36727364406684,19963994748112118340000,53997170827992,26712
59;13,4,2,3;35903623298319,2769953855233579875000,53997170827992,861
61;1,4,6,3;3796532765592,1161806901139858050000,1292053020699,252
65;1,4,9,3;3796532765592,24222466642911886440000,130234433165592,9744
71;7,4,2,3;130234433165592,6011874773444113560000,186913491965592,4368
73;1,4,12,3;3796532765592,24222466642911886440000,130234433165592,9744
75;10,4,2,3;130234433165592,6011874773444113560000,186913491965592,4368
76;1,4,6,3;3796532765592,11157684093924822562500,36030625112097,2667
77;5,4,2,3;36030625112097,3327663416318927437500,186913491965592,2625
83;1,4,8,3;3796532765592,11157684093924822562500,36030625112097,2667
85;7,4,12,3;1292053020699,9061554047450028390000,130234433165592,4620
87;10,4,2,3;130234433165592,6011874773444113560000,186913491965592,4368
88;1,4,8,3;3796532765592,11157684093924822562500,36030625112097,2667
95;1,4,11,3;3796532765592,11157684093924822562500,36030625112097,2667
97;10,4,9,3;1292053020699,9061554047450028390000,130234433165592,4620
99;7,4,2,3;130234433165592,6011874773444113560000,186913491965592,4368
100;1,4,11,3;3796532765592,11157684093924822562500,36030625112097,2667
110;1,4,14,3;3796532765592,11157684093924822562500,36030625112097,2667
111;1,4,14,3;3796532765592,1161806901139858050000,1292053020699,252
113;1,4,9,3;3796532765592,24222466642911886440000,130234433165592,9744
116;7,4,2,3;130234433165592,6011874773444113560000,186913491965592,4368
117;1,4,12,3;3796532765592,24222466642911886440000,130234433165592,9744
118;10,4,2,3;130234433165592,6011874773444113560000,186913491965592,4368
119;13,4,2,3;36030625112097,3327663416318927437500,186913491965592,2625
125;1,4,9,3;3796532765592,929445520911886440000,3743597362064,112
131;7,4,2,3;3743597362064,6264415581244478280000,79957989249096,2240
133;1,4,12,3;3796532765592,929445520911886440000,3743597362064,112
135;10,4,2,3;3743597362064,6264415581244478280000,79957989249096,2240
137;1,4,2,3;3796532765592,14558138201250000000000,79957989249096,7056
145;1,4,12,3;3796532765592,929445520911886440000,3743597362064,112
147;10,4,2,3;3743597362064,6264415581244478280000,79957989249096,2240
157;1,4,9,3;3796532765592,929445520911886440000,3743597362064,112
159;7,4,2,3;3743597362064,6264415581244478280000,79957989249096,2240
173;1,4,9,3;3796532765592,929445520911886440000,3743597362064,112
176;7,4,2,3;3743597362064,6264415581244478280000,79957989249096,2240
177;1,4,12,3;3796532765592,929445520911886440000,3743597362064,112
178;10,4,2,3;3743597362064,6264415581244478280000,79957989249096,2240
179;1,4,2,3;3796532765592,14558138201250000000000,79957989249096,7056
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
16:V/3,1/13/0/1;V/6,3/14/0/15;E/4,1/15/0/1;E/4,6/16/0/15;E/4,3/17/1/15
17:V/3,5/14/0/15;V/2,3/18/0/18;E/4,5/16/0/15;E/4,2/19/0/18;E/4,3/20/15/18
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/15;E/4,7/8/0/6;E/4,8/16/0/15;E/4,3/12/6/15
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/12;V/2,3/21/0/18;E/4,7/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
28:V/3,7/6/0/6;V/8,3/14/0/15;E/4,7/8/0/6;E/4,8/16/0/15;E/4,3/12/6/15
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/15;E/4,10/8/0/6;E/4,11/16/0/15;E/4,3/12/6/15
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/12;V/2,3/21/0/18;E/4,10/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
40:V/3,10/6/0/6;V/11,3/14/0/15;E/4,10/8/0/6;E/4,11/16/0/15;E/4,3/12/6/15
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/15;E/4,1/15/0/1;E/4,14/16/0/15;E/4,3/17/1/15
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
57:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
59:V/3,13/14/0/15;V/2,3/18/0/18;E/4,13/16/0/15;E/4,2/19/0/18;E/4,3/20/15/18
61:V/3,1/24/0/1;V/6,3/25/0/3;E/4,1/26/0/1;E/4,6/27/0/3;E/4,3/28/1/3
65:V/3,1/29/0/1;V/9,3/30/0/28;E/4,1/31/0/1;E/4,9/32/0/28;E/4,3/33/1/28
71:V/3,7/30/0/28;V/2,3/34/0/45;E/4,7/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
73:V/3,1/29/0/1;V/12,3/30/0/28;E/4,1/31/0/1;E/4,12/32/0/28;E/4,3/33/1/28
75:V/3,10/30/0/28;V/2,3/34/0/45;E/4,10/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
76:V/3,1/37/0/1;V/6,3/38/0/20;E/4,1/39/0/1;E/4,6/40/0/20;E/4,3/41/1/20
77:V/3,5/38/0/20;V/2,3/42/0/45;E/4,5/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
83:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
85:V/3,7/25/0/3;V/12,3/45/0/28;E/4,7/27/0/3;E/4,12/46/0/28;E/4,3/47/3/28
87:V/3,10/45/0/28;V/2,3/48/0/45;E/4,10/46/0/28;E/4,2/49/0/45;E/4,3/50/28/45
88:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
95:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
97:V/3,10/25/0/3;V/9,3/45/0/28;E/4,10/27/0/3;E/4,9/46/0/28;E/4,3/47/3/28
99:V/3,7/45/0/28;V/2,3/48/0/45;E/4,7/46/0/28;E/4,2/49/0/45;E/4,3/50/28/45
100:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
110:V/3,1/37/0/1;V/14,3/38/0/20;E/4,1/39/0/1;E/4,14/40/0/20;E/4,3/41/1/20
111:V/3,1/24/0/1;V/14,3/25/0/3;E/4,1/26/0/1;E/4,14/27/0/3;E/4,3/28/1/3
113:V/3,1/29/0/1;V/9,3/30/0/28;E/4,1/31/0/1;E/4,9/32/0/28;E/4,3/33/1/28
116:V/3,7/30/0/28;V/2,3/34/0/45;E/4,7/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
117:V/3,1/29/0/1;V/12,3/30/0/28;E/4,1/31/0/1;E/4,12/32/0/28;E/4,3/33/1/28
118:V/3,10/30/0/28;V/2,3/34/0/45;E/4,10/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
119:V/3,13/38/0/20;V/2,3/42/0/45;E/4,13/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
125:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
131:V/3,7/52/0/4;V/2,3/56/0/31;E/4,7/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
133:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
135:V/3,10/52/0/4;V/2,3/56/0/31;E/4,10/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/4;E/4,1/66/0/1;E/4,12/67/0/4;E/4,3/68/1/4
147:V/3,10/65/0/4;V/2,3/69/0/31;E/4,10/67/0/4;E/4,2/70/0/31;E/4,3/71/4/31
157:V/3,1/64/0/1;V/9,3/65/0/4;E/4,1/66/0/1;E/4,9/67/0/4;E/4,3/68/1/4
159:V/3,7/65/0/4;V/2,3/69/0/31;E/4,7/67/0/4;E/4,2/70/0/31;E/4,3/71/4/31
173:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
176:V/3,7/52/0/4;V/2,3/56/0/31;E/4,7/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
177:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
178:V/3,10/52/0/4;V/2,3/56/0/31;E/4,10/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;3758589/10000000,37701843/100000000;6,375858,0,170986,601000,601000,77787804;10,3770184300,0,1712584743,6019582158,6019582158,784219750023
1;C;0,3;2312651/6250000;4,3700,0,0,6010,6010,1759800;4,3700,0,0,6037,6037,1109262
1;C;3,4;738869/2000000;4,3694,0,0,6037,6037,989262;4,3694,0,0,6039,6039,940958
1;C;4,5;18368027/50000000;4,3673,0,0,6039,6039,520958;4,3673,0,0,6060,6060,12800
1;L;5,6;18368027/50000000,36781161/100000000;4,3673,0,0,6060,6060,12800;10,3678116100,0,0,6064747365,6064747365,797451113550
1;L;6,7;36781161/100000000,1481089/4000000;10,3678116100,0,0,6064747365,6064747365,797451113550;8,37027225,0,0,60850000,60850000,0
1;L;7,8;1481089/4000000,373321/1000000;8,37027225,0,0,60850000,60850000,0;6,373321,0,0,611000,611000,0
1;L;8,9;373321/1000000,1505529/4000000;6,373321,0,0,611000,611000,0;8,37638225,0,0,61350000,61350000,0
1;L;9,10;1505529/4000000,5929/15625;8,37638225,0,0,61350000,61350000,0;6,379456,0,0,616000,616000,0
1;L;10,11;5929/15625,1530169/4000000;6,379456,0,0,616000,616000,0;8,38254225,0,0,61850000,61850000,0
1;L;11,12;1530169/4000000,19178257/50000000;8,38254225,0,0,61850000,61850000,0;10,3835651400,0,0,6193263552,6193263552,1150936686592
2;L;0,1;3758589/10000000,37701843/100000000;8,37585890,0,60100000,60100000,17121855,81358975;10,3770184300,0,6019582158,6019582158,1712584743,784219750023
3;C;0,3;2312651/6250000;4,3700,0,0,6010,6010,1759800;4,3700,0,0,6037,6037,1109262
3;C;3,4;738869/2000000;4,3694,0,0,6037,6037,989262;4,3694,0,0,6039,6039,940958
3;C;4,5;18368027/50000000;4,3673,0,0,6039,6039,520958;4,3673,0,0,6060,6060,12800
3;L;5,6;18368027/50000000,36781161/100000000;4,3673,0,0,6060,6060,12800;10,3678116100,0,0,6064747365,6064747365,797451113550
3;L;6,7;36781161/100000000,1481089/4000000;10,3678116100,0,0,6064747365,6064747365,797451113550;8,37027225,0,0,60850000,60850000,0
3;L;7,8;1481089/4000000,373321/1000000;8,37027225,0,0,60850000,60850000,0;6,373321,0,0,611000,611000,0
3;L;8,9;373321/1000000,1505529/4000000;6,373321,0,0,611000,611000,0;8,37638225,0,0,61350000,61350000,0
3;L;9,10;1505529/4000000,5929/15625;8,37638225,0,0,61350000,61350000,0;6,379456,0,0,616000,616000,0
3;L;10,11;5929/15625,1530169/4000000;6,379456,0,0,616000,616000,0;8,38254225,0,0,61850000,61850000,0
3;L;11,12;1530169/4000000,19178257/50000000;8,38254225,0,0,61850000,61850000,0;10,3835651400,0,0,6193263552,6193263552,1150936686592
4;L;1,2;37701843/100000000,37047867/100000000;10,3770184300,6019582158,6019582158,0,1712584743,784219750023;8,37047867,60350000,60350000,0,11195014,61539804
4;L;2,3;37047867/100000000,2312651/6250000;8,37047867,60350000,60350000,0,11195014,61539804;10,3700241600,6036521782,6036521782,0,1060962497,130838613943
4;L;3,4;2312651/6250000,738869/2000000;10,3700241600,6036521782,6036521782,0,1060962497,130838613943;8,36943450,60386954,60386954,0,9773513,16842599
4;L;4,5;738869/2000000,18368027/50000000;8,36943450,60386954,60386954,0,9773513,16842599;8,36736054,60600000,60600000,0,1578179,151043959
4;L;5,6;18368027/50000000,36781161/100000000;8,36736054,60600000,60600000,0,1578179,151043959;10,3678116100,6064747365,6064747365,0,0,797451113550
4;L;6,7;36781161/100000000,1481089/4000000;10,3678116100,6064747365,6064747365,0,0,797451113550;8,37027225,60850000,60850000,0,0,0
4;L;7,8;1481089/4000000,373321/1000000;8,37027225,60850000,60850000,0,0,0;6,373321,611000,611000,0,0,0
4;L;8,9;373321/1000000,1505529/4000000;6,373321,611000,611000,0,0,0;8,37638225,61350000,61350000,0,0,0
4;L;9,10;1505529/4000000,5929/15625;8,37638225,61350000,61350000,0,0,0;6,379456,616000,616000,0,0,0
4;L;10,11;5929/15625,1530169/4000000;6,379456,616000,616000,0,0,0;8,38254225,61850000,61850000,0,0,0
4;L;11,12;1530169/4000000,19178257/50000000;8,38254225,61850000,61850000,0,0,0;10,3835651400,6193263552,6193263552,0,0,1150936686592
5;C;0,1;3758589/10000000;4,3758,0,16,6010,6010,2919544;4,3758,0,16,6020,6020,2678944
6;C;0,3;2312651/6250000;4,3700,0,0,6010,6010,1759800;4,3700,0,0,6037,6037,1109262
6;C;3,4;738869/2000000;4,3694,0,0,6037,6037,989262;4,3694,0,0,6039,6039,940958
6;C;4,5;18368027/50000000;4,3673,0,0,6039,6039,520958;4,3673,0,0,6060,6060,12800
6;L;5,6;18368027/50000000,36781161/100000000;4,3673,0,0,6060,6060,12800;10,3678116100,0,0,6064747365,6064747365,797451113550
7;C;0,1;3758589/10000000;4,3758,0,6010,6010,0,2919800;4,3758,16,6020,6020,0,2678944
8;C;0,3;2312651/6250000;4,3700,0,0,6010,6010,1759800;4,3700,0,0,6037,6037,1109262
8;C;3,4;738869/2000000;4,3694,0,0,6037,6037,989262;4,3694,0,0,6039,6039,940958
8;C;4,5;18368027/50000000;4,3673,0,0,6039,6039,520958;4,3673,0,0,6060,6060,12800
8;L;5,6;18368027/50000000,36781161/100000000;4,3673,0,0,6060,6060,12800;10,3678116100,0,0,6064747365,6064747365,797451113550
9;C;1,3;2312651/6250000;4,3700,6020,6020,16,0,1518944;4,3700,6037,6037,1,0,1109261
9;C;3,4;738869/2000000;4,3694,6037,6037,1,0,989261;4,3694,6039,6039,0,0,940958
9;C;4,5;18368027/50000000;4,3673,6039,6039,0,0,520958;4,3673,6060,6060,0,0,12800
9;L;5,6;18368027/50000000,36781161/100000000;4,3673,6060,6060,0,0,12800;10,3678116100,6064747365,6064747365,0,0,797451113550
10;C;0,18;6807491/25000000;2,27,0,0,0,61,1679;2,27,0,0,0,63,1431
11;C;0,18;6807491/25000000;2,27,0,0,61,0,1679;2,27,0,0,63,0,1431
12;C;6,12;36781161/100000000;10,3678116100,6064747365,0,0,6064747365,797451113550;2,36,62,0,0,14,3160
12;C;12,18;6807491/25000000;2,27,62,0,0,14,1360;2,27,63,0,0,0,1431
13;C;0,1;3758589/10000000;2,37,1,1,49,61,1276;2,37,1,1,49,61,1276
14;C;0,15;16302853/50000000;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
15;C;0,1;3758589/10000000;2,37,0,0,61,49,1278;2,37,1,1,61,49,1276
16;C;0,15;16302853/50000000;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
17;C;1,15;16302853/50000000;2,32,61,1,1,49,276;2,32,63,0,0,0,2431
18;C;0,18;6807491/25000000;2,27,0,0,0,39,3879;2,27,0,0,0,41,3719
19;C;0,18;6807491/25000000;2,27,0,0,0,52,2696;2,27,0,0,0,41,3719
20;C;15,18;6807491/25000000;2,27,0,0,0,63,1431;2,27,0,0,0,41,3719
21;C;0,18;6807491/25000000;2,27,0,0,34,61,523;2,27,0,0,36,63,135
22;C;0,18;6807491/25000000;2,27,0,0,61,38,235;2,27,0,0,63,36,135
23;L;12,13;19178257/50000000,35941929/100000000;10,3835651400,6193263552,0,0,6193263552,1150936686592;8,35941929,62100000,0,0,57723269,15953639
23;L;13,14;35941929/100000000,32665689/100000000;8,35941929,62100000,0,0,57723269,15953639;8,32665689,62350000,0,0,51435544,113424064
23;L;14,15;32665689/100000000,16302853/50000000;8,32665689,62350000,0,0,51435544,113424064;10,3260570600,6235487759,0,0,5131286802,162981770715
23;L;15,16;16302853/50000000,7446357/25000000;10,3260570600,6235487759,0,0,5131286802,162981770715;10,2978542800,6260000000,0,0,4514781904,359314134784
23;L;16,17;7446357/25000000,27602039/100000000;10,2978542800,6260000000,0,0,4514781904,359314134784;4,2760,6285,0,0,3887,590006
23;L;17,18;27602039/100000000,6807491/25000000;4,2760,6285,0,0,3887,590006;2,27,63,0,0,36,135
24;C;0,1;3758589/10000000;4,3758,0,0,6010,6010,2919800;4,3758,0,0,6020,6020,2679200
25;C;0,3;2312651/6250000;4,3700,0,0,6010,6010,1759800;4,3700,0,0,6037,6037,1109262
26;C;0,1;3758589/10000000;4,3758,0,0,6010,6010,2919800;4,3758,0,0,6020,6020,2679200
27;C;0,3;2312651/6250000;4,3700,0,0,6010,6010,1759800;4,3700,0,0,6037,6037,1109262
28;C;1,3;2312651/6250000;4,3700,6020,6020,0,0,1519200;4,3700,6037,6037,0,0,1109262
29;C;0,1;3758589/10000000;2,37,0,0,33,61,2590;2,37,0,0,34,61,2523
30;C;0,28;1179433/5000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
31;C;0,1;3758589/10000000;2,37,0,0,61,34,2523;2,37,0,0,61,34,2523
32;C;0,28;1179433/5000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
33;C;1,28;1179433/5000000;4,2358,6020,0,0,3302,16396;2,23,65,0,0,0,375
34;C;0,45;8660627/100000000;2,8,0,0,0,27,871;2,8,0,0,0,31,639
35;C;0,45;8660627/100000000;2,8,0,0,0,40,0;2,8,0,0,0,31,639
36;C;28,30;21281221/100000000;4,2128,0,0,0,6491,426919;2,21,0,0,0,62,356
36;C;30,32;20052213/100000000;2,20,0,0,0,62,156;2,20,0,0,0,59,519
36;C;32,34;1774141/10000000;4,1774,0,0,0,5883,870311;2,17,0,0,0,55,375
36;C;34,36;15626893/100000000;4,1562,0,0,0,5446,1581084;2,15,0,0,0,51,399
36;C;36,38;13708661/100000000;4,1370,0,0,0,5008,2319936;2,13,0,0,0,46,484
36;C;38,40;11986713/100000000;2,11,0,0,0,46,84;2,11,0,0,0,42,436
36;C;40,45;8660627/100000000;4,866,0,0,0,4133,238311;2,8,0,0,0,31,639
37;C;0,1;3758589/10000000;2,37,0,0,5,61,3654;2,37,0,0,5,61,3654
38;C;0,20;26582483/100000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
39;C;0,1;3758589/10000000;2,37,0,0,61,5,3654;2,37,0,0,61,5,3654
40;C;0,20;26582483/100000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
41;C;1,20;26582483/100000000;2,26,61,0,0,5,1454;2,26,64,0,0,0,1104
42;C;0,45;8660627/100000000;2,8,0,0,0,7,1551;2,8,0,0,0,8,1536
43;C;0,45;8660627/100000000;4,866,0,0,0,4142,163836;2,8,0,0,0,8,1536
44;C;20,32;20052213/100000000;4,2005,0,0,0,6326,81724;2,20,0,0,0,40,2400
44;C;32,45;8660627/100000000;2,8,0,0,0,40,0;2,8,0,0,0,8,1536
45;C;0,28;1179433/5000000;2,23,0,0,21,61,438;10,2358866000,0,0,2247296224,6490529956,571861979888
46;C;0,28;1179433/5000000;2,23,0,0,19,61,518;10,2358866000,0,0,2247296224,6490529956,571861979888
47;C;3,9;18368027/50000000;4,3673,6037,0,0,6037,569262;2,36,62,0,0,53,547
47;C;9,15;16302853/50000000;4,3260,6135,0,0,5215,365550;2,32,63,0,0,44,495
47;C;15,16;7446357/25000000;4,2978,6236,0,0,4376,1522928;2,29,63,0,0,42,67
47;L;16,17;7446357/25000000,27602039/100000000;2,29,63,0,0,42,67;8,27602039,62850000,0,0,39626825,40419375
47;L;17,18;27602039/100000000,6807491/25000000;8,27602039,62850000,0,0,39626825,40419375;8,27229964,62991538,0,0,38445531,86522595
47;L;18,19;6807491/25000000,5390883/20000000;8,27229964,62991538,0,0,38445531,86522595;8,26954415,63100000,0,0,37540284,77199344
47;L;19,20;5390883/20000000,26582483/100000000;8,26954415,63100000,0,0,37540284,77199344;8,26582483,63251902,0,0,36272488,107672252
47;L;20,21;26582483/100000000,26350953/100000000;8,26582483,63251902,0,0,36272488,107672252;8,26350953,63350000,0,0,35453744,136382464
47;L;21,22;26350953/100000000,6447913/25000000;8,26350953,63350000,0,0,35453744,136382464;8,25791652,63600000,0,0,33367204,97222384
47;L;22,23;6447913/25000000,789891/3125000;8,25791652,63600000,0,0,33367204,97222384;8,25276512,63850000,0,0,31280663,22280431
47;L;23,24;789891/3125000,12402767/50000000;8,25276512,63850000,0,0,31280663,22280431;10,2480553400,6410000000,0,0,2919412239,178777006879
47;L;24,25;12402767/50000000,12189359/50000000;10,2480553400,6410000000,0,0,2919412239,178777006879;8,24378718,64350000,0,0,27107583,43898111
47;L;25,26;12189359/50000000,23996063/100000000;8,24378718,64350000,0,0,27107583,43898111;8,23996063,64600000,0,0,25021042,57234236
47;L;26,27;23996063/100000000,2365757/10000000;8,23996063,64600000,0,0,25021042,57234236;8,23657570,64850000,0,0,22934502,118011996
47;L;27,28;2365757/10000000,1179433/5000000;8,23657570,64850000,0,0,22934502,118011996;10,2358866000,6490529956,0,0,2247296224,571861979888
48;C;0,45;8660627/100000000;2,8,0,0,25,27,246;8,8660627,0,0,27933296,30852168,104276160
49;C;0,22;6447913/25000000;2,25,0,0,20,40,3000;2,25,0,0,23,36,3175
49;C;22,33;4718069/25000000;2,18,0,0,23,36,1775;2,18,0,0,25,34,1819
49;C;33,39;12823151/100000000;2,12,0,0,25,34,619;2,12,0,0,27,33,582
49;C;39,42;209221/2000000;2,10,0,0,27,33,182;2,10,0,0,28,32,192
49;C;42,43;4885913/50000000;4,977,0,0,2724,3151,2191023;4,977,0,0,2749,3128,2198615
49;C;43,44;9131673/100000000;4,913,0,0,2749,3128,918615;4,913,0,0,2774,3104,930108
49;L;44,45;9131673/100000000,8660627/100000000;4,913,0,0,2774,3104,930108;8,8660627,0,0,27933296,30852168,104276160
50;L;28,29;1179433/5000000,225593/1000000;10,2358866000,2247296224,0,0,6490529956,571861979888;8,22559300,22746106,0,0,63201856,59992028
50;L;29,30;225593/1000000,21281221/100000000;8,22559300,22746106,0,0,63201856,59992028;8,21281221,23096828,0,0,61014594,55353580
50;L;30,31;21281221/100000000,20419203/100000000;8,21281221,23096828,0,0,61014594,55353580;8,20419203,23341343,0,0,59489682,42495227
50;L;31,32;20419203/100000000,20052213/100000000;8,20419203,23341343,0,0,59489682,42495227;8,20052213,23447549,0,0,58827332,55654375
50;L;32,33;20052213/100000000,4718069/25000000;8,20052213,23447549,0,0,58827332,55654375;8,18872276,23798271,0,0,56640069,81085798
50;L;33,34;4718069/25000000,1774141/10000000;8,18872276,23798271,0,0,56640069,81085798;10,1774141000,2414899286,0,0,5445280647,113883951595
50;L;34,35;1774141/10000000,520613/3125000;10,1774141000,2414899286,0,0,5445280647,113883951595;10,1665961600,2449971480,0,0,5226554414,704683726204
50;L;35,36;520613/3125000,15626893/100000000;10,1665961600,2449971480,0,0,5226554414,704683726204;8,15626893,24850437,0,0,50078282,52837507
50;L;36,37;15626893/100000000,14643241/100000000;8,15626893,24850437,0,0,50078282,52837507;10,1464324100,2520115868,0,0,4789101950,524360804076
50;L;37,38;14643241/100000000,13708661/100000000;10,1464324100,2520115868,0,0,4789101950,524360804076;8,13708661,25551881,0,0,45703758,82039275
50;L;38,39;13708661/100000000,12823151/100000000;8,13708661,25551881,0,0,45703758,82039275;8,12823151,25902603,0,0,43516495,20739366
50;L;39,40;12823151/100000000,11986713/100000000;8,12823151,25902603,0,0,43516495,20739366;8,11986713,26253325,0,0,41329233,26076086
50;L;40,41;11986713/100000000,5599673/50000000;8,11986713,26253325,0,0,41329233,26076086;10,1119934600,2660404643,0,0,3914197021,816298768110
50;L;41,42;5599673/50000000,209221/2000000;10,1119934600,2660404643,0,0,3914197021,816298768110;10,1046105000,2695476837,0,0,3695470789,268844192910
50;L;42,43;209221/2000000,4885913/50000000;10,1046105000,2695476837,0,0,3695470789,268844192910;8,9771826,27305491,0,0,34767446,59886003
50;L;43,44;4885913/50000000,9131673/100000000;8,9771826,27305491,0,0,34767446,59886003;8,9131673,27656213,0,0,32580184,93024775
50;L;44,45;9131673/100000000,8660627/100000000;8,9131673,27656213,0,0,32580184,93024775;8,8660627,27933296,0,0,30852168,104276160
51;C;0,1;3758589/10000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
52;C;0,4;738869/2000000;2,36,0,0,0,61,3479;2,36,0,0,0,61,3479
53;C;0,1;3758589/10000000;2,37,0,0,61,0,3679;2,37,0,0,61,0,3679
54;C;0,4;738869/2000000;2,36,0,0,0,61,3479;2,36,0,0,0,61,3479
55;C;1,4;738869/2000000;2,36,61,0,0,0,3479;2,36,61,0,0,0,3479
56;C;0,31;20419203/100000000;2,20,0,0,0,21,3559;2,20,0,0,0,23,3471
57;C;0,31;20419203/100000000;2,20,0,0,0,28,3216;2,20,0,0,0,23,3471
58;C;4,31;20419203/100000000;2,20,0,0,0,61,279;2,20,0,0,0,23,3471
59;C;0,1;3758589/10000000;2,37,0,0,0,50,4900;2,37,0,0,0,50,4900
60;C;0,31;20419203/100000000;2,20,0,0,0,6,3964;2,20,0,0,0,6,3964
61;C;0,1;3758589/10000000;2,37,0,0,0,50,4900;2,37,0,0,0,50,4900
62;C;0,31;20419203/100000000;2,20,0,0,0,27,3271;2,20,0,0,0,6,3964
63;C;1,31;20419203/100000000;2,20,0,0,0,50,1500;2,20,0,0,0,6,3964
64;C;0,1;3758589/10000000;2,37,0,0,18,61,3355;2,37,0,0,18,61,3355
65;C;0,4;738869/2000000;2,36,0,0,16,61,3223;2,36,0,0,16,61,3223
66;C;0,1;3758589/10000000;2,37,0,0,61,18,3355;2,37,0,0,61,18,3355
67;C;0,4;738869/2000000;2,36,0,0,16,61,3223;2,36,0,0,16,61,3223
68;C;1,4;738869/2000000;2,36,61,0,0,18,3155;2,36,61,0,0,16,3223
69;C;0,31;20419203/100000000;2,20,0,0,19,21,3198;2,20,0,0,21,23,3030
70;C;0,31;20419203/100000000;2,20,0,0,16,28,2960;2,20,0,0,21,23,3030
71;C;4,31;20419203/100000000;2,20,16,0,0,61,23;2,20,21,0,0,23,3030
MASS SLACK NUMERATOR 37119185138936714926867018072489067585319089250111211045266134376678597086070365566588293683888449738411357273430669
BIN 32: PATH2; (221/168,443/336]; gamma0=6013/10000; mass ceiling=99483809/100000000.
GAMMA 0=6013/10000;1=99600243750/165368144567;2=98476087500/163119832067;3=3019/5000;4=197701612500/327383305759;5=6063/10000;6=682587675000/1125011817961;7=761/1250;8=6113/10000;9=3069/5000;10=6163/10000;11=1547/2500;12=242817750000/391846849343;13=6213/10000;14=223032600000/357559184393;15=3119/5000;16=6263/10000;17=393/625;18=49238043750/78090451967;19=6313/10000;20=80939250000/128046157067;21=3169/5000;22=6363/10000;23=1597/2500;24=6413/10000;25=3219/5000;26=6463/10000;27=811/1250;28=73669706250/113507069567;29=6513/10000;30=3269/5000;31=40357209375/61560277021;32=6563/10000;33=1647/2500;34=6613/10000;35=3319/5000;36=6663/10000;37=418/625;38=6713/10000;39=3369/5000;40=6763/10000;41=1697/2500;42=6813/10000;43=3419/5000;44=6863/10000;45=61828593750/89824844567;46=861/1250;47=6913/10000;48=3469/5000;49=6963/10000;50=1747/2500;51=7013/10000;52=3519/5000;53=7063/10000;54=443/625;55=7113/10000;56=3569/5000;57=7163/10000;58=1797/2500;59=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37572577,37692813;1,2,37692813,37101076;2,3,37101076,37071338;3,4,37071338,37046372;4,5,37046372,36771655;5,6,36771655,36813128;6,7,36813128,37063744;7,8,37063744,37368769;8,9,37368769,37675044;9,10,37675044,37982569;10,11,37982569,38291344;11,12,38291344,38399728;12,13,38399728,36056608;13,14,36056608,32821056;14,15,32821056,32776808;15,16,32776808,29891330;16,17,29891330,27503129;17,18,27503129,27053183;18,19,27053183,26858232;19,20,26858232,26658855;20,21,26658855,26257897;21,22,26257897,25702125;22,23,25702125,25190916;23,24,25190916,24724270;24,25,24724270,24302187;25,26,24302187,23924667;26,27,23924667,23591709;27,28,23591709,23563086;28,29,23563086,22360309;29,30,22360309,21081864;30,31,21081864,20205613;31,32,20205613,19853011;32,33,19853011,18673752;33,34,18673752,17544085;34,35,17544085,16464012;35,36,16464012,15433531;36,37,15433531,14452644;37,38,14452644,13521349;38,39,13521349,12639648;39,40,12639648,11807539;40,41,11807539,11025024;41,42,11025024,10292102;42,43,10292102,9608772;43,44,9608772,8975036;44,45,8975036,8498298;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;143548721417/37771650000,1/3,165368144567/75543300000;-106078236183053
2;0,3,6;127/336,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;127/336,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;377/168,5/3,73/112;-61
10;0,6;1/3,1;-1
11;2,3,7;647/336,4/3,73/112;-5
14;0,6;1/3,1;-1
15;2,3,10;647/336,4/3,73/112;-5
18;1,4,8;121729298267/25181100000,1,165368144567/75543300000;-88091736183053
20;0,3,8;173/168,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;56271028817/12590550000,5,165368144567/75543300000;-7152486183053
26;0,8;1/3,1;-1
27;2,3,10;647/336,4/3,73/112;-5
29;1,3,9;61/168,3,443/336;-61
30;1,4,11;121729298267/25181100000,1,165368144567/75543300000;-88091736183053
32;0,3,11;173/168,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;56271028817/12590550000,5,165368144567/75543300000;-7152486183053
38;0,11;1/3,1;-1
39;2,3,7;647/336,4/3,73/112;-5
41;1,3,12;61/168,3,443/336;-61
42;1,4,14;143548721417/37771650000,1/3,165368144567/75543300000;-106078236183053
43;0,3,14;127/336,3,1;-2
45;0,3,14;127/336,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;647/336,4/3,73/112;-5
56;2,3,7;647/336,4/3,73/112;-5
58;2,3,10;647/336,4/3,73/112;-5
60;0,1,6;2/3,2,1;-1
62;0,3,6;127/336,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
66;0,3,6;127/336,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;545/168,5/3,275/336;-5
70;0,6;1/3,1;-1
72;1,4,6;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
80;0,3,8;173/168,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;64643744567/12590550000,4,165368144567/75543300000;-34132236183053
84;1,4,8;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
86;0,8;1/3,1;-1
89;1,3,9;61/168,3,443/336;-61
90;1,11;3,1;-2
91;1,4,11;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
92;0,3,11;173/168,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;64643744567/12590550000,4,165368144567/75543300000;-34132236183053
96;1,4,11;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
98;0,11;1/3,1;-1
101;1,3,12;61/168,3,443/336;-61
102;0,1,14;2/3,2,1;-1
103;0,3,14;127/336,3,1;-2
104;1,4,14;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
105;0,3,14;127/336,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;64643744567/15108660000,10/3,165368144567/75543300000;-22141236183053
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;545/168,5/3,275/336;-5
120;0,1,6;5/3,2,1;-1
121;1,4,6;23738873423/4721456250,5/3,165368144567/75543300000;-52118736183053
122;0,3,6;127/336,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
126;0,3,6;127/336,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;713/168,13/6,359/336;-5
130;0,6;1/3,1;-1
132;1,4,6;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
134;0,6;1/3,1;-1
136;1,4,6;63168215809/18885825000,19/3,165368144567/75543300000;-5353836183053
138;0,1,8;1,3,1;-2
139;1,4,8;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
140;0,3,8;173/168,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;80872963517/12590550000,3,165368144567/75543300000;-61111986183053
143;1,4,8;63168215809/18885825000,19/3,165368144567/75543300000;-5353836183053
144;1,4,8;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
146;0,8;1/3,1;-1
148;1,4,8;63168215809/18885825000,19/3,165368144567/75543300000;-5353836183053
149;1,3,9;61/168,3,443/336;-61
150;0,1,11;1,3,1;-2
151;1,4,11;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
152;0,3,11;173/168,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;80872963517/12590550000,3,165368144567/75543300000;-61111986183053
155;1,4,11;63168215809/18885825000,19/3,165368144567/75543300000;-5353836183053
156;1,4,11;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
158;0,11;1/3,1;-1
160;1,4,11;63168215809/18885825000,19/3,165368144567/75543300000;-5353836183053
161;1,3,12;61/168,3,443/336;-61
162;0,1,14;5/3,2,1;-1
163;0,3,14;127/336,3,1;-2
164;1,4,14;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
165;0,3,14;127/336,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;86505975587/15108660000,7/3,165368144567/75543300000;-58114236183053
169;0,14;1/3,1;-1
170;1,4,14;63168215809/18885825000,19/3,165368144567/75543300000;-5353836183053
171;1,4,14;23738873423/4721456250,5/3,165368144567/75543300000;-52118736183053
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;713/168,13/6,359/336;-5
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;78901642494192,1053834017400693076275000,72002394900541,9688
4;1,4,6,3;78901642494192,626938250131663383060000,244722754402028,14224
5;5,4,2,3;244722754402028,1409941582276547084940000,365160797158864,11984
12;1,4,6,3;78901642494192,626938250131663383060000,244722754402028,14224
13;5,4,2,3;244722754402028,1409941582276547084940000,365160797158864,11984
16;1,4,6,3;78901642494192,3570720630190965381375000,240967872734673,8190
17;5,4,2,3;240967872734673,219859165509473093625000,365160797158864,406
19;1,4,8,3;78901642494192,626938250131663383060000,244722754402028,14224
23;7,4,8,3;244722754402028,900944784347726310255000,240967872734673,3682
24;1,4,8,3;78901642494192,626938250131663383060000,244722754402028,14224
25;7,4,2,3;72002394900541,247785767919394618725000,365160797158864,952
28;7,4,8,3;244722754402028,900944784347726310255000,240967872734673,3682
31;1,4,11,3;78901642494192,626938250131663383060000,244722754402028,14224
35;10,4,11,3;244722754402028,900944784347726310255000,240967872734673,3682
36;1,4,11,3;78901642494192,626938250131663383060000,244722754402028,14224
37;10,4,2,3;72002394900541,247785767919394618725000,365160797158864,952
40;10,4,11,3;244722754402028,900944784347726310255000,240967872734673,3682
44;1,4,14,3;78901642494192,626938250131663383060000,244722754402028,14224
48;1,4,14,3;78901642494192,626938250131663383060000,244722754402028,14224
50;1,4,14,3;78901642494192,3570720630190965381375000,240967872734673,8190
51;1,4,14,3;78901642494192,1053834017400693076275000,72002394900541,9688
53;13,4,2,3;244722754402028,1409941582276547084940000,365160797158864,11984
57;13,4,2,3;244722754402028,1409941582276547084940000,365160797158864,11984
59;13,4,2,3;240967872734673,219859165509473093625000,365160797158864,406
61;1,4,6,3;78901642494192,69528686626386152550000,7842649562258,280
65;1,4,9,3;78901642494192,129702648295469917080000,600137204606352,116256
71;7,4,2,3;600137204606352,33022397262822082920000,3752119061694192,53088
73;1,4,12,3;78901642494192,129702648295469917080000,600137204606352,116256
75;10,4,2,3;600137204606352,33022397262822082920000,3752119061694192,53088
76;1,4,6,3;78901642494192,766290641007982690687500,39450957556129,1162
77;5,4,2,3;39450957556129,246155080197948559312500,3752119061694192,238
83;1,4,8,3;78901642494192,766290641007982690687500,39450957556129,1162
85;7,4,12,3;7842649562258,48936860705278520730000,600137204606352,18536
87;10,4,2,3;600137204606352,33022397262822082920000,3752119061694192,53088
88;1,4,8,3;78901642494192,766290641007982690687500,39450957556129,1162
95;1,4,11,3;78901642494192,766290641007982690687500,39450957556129,1162
97;10,4,9,3;7842649562258,48936860705278520730000,600137204606352,18536
99;7,4,2,3;600137204606352,33022397262822082920000,3752119061694192,53088
100;1,4,11,3;78901642494192,766290641007982690687500,39450957556129,1162
110;1,4,14,3;78901642494192,766290641007982690687500,39450957556129,1162
111;1,4,14,3;78901642494192,69528686626386152550000,7842649562258,280
113;1,4,9,3;78901642494192,129702648295469917080000,600137204606352,116256
116;7,4,2,3;600137204606352,33022397262822082920000,3752119061694192,53088
117;1,4,12,3;78901642494192,129702648295469917080000,600137204606352,116256
118;10,4,2,3;600137204606352,33022397262822082920000,3752119061694192,53088
119;13,4,2,3;39450957556129,246155080197948559312500,3752119061694192,238
125;1,4,9,3;78901642494192,55622949301108922040000,609142137921576,3360
131;7,4,2,3;609142137921576,442954650205162995480000,1603687105090896,81312
133;1,4,12,3;78901642494192,55622949301108922040000,609142137921576,3360
135;10,4,2,3;609142137921576,442954650205162995480000,1603687105090896,81312
137;1,4,2,3;78901642494192,1019069674087500000000000,1603687105090896,28224
145;1,4,12,3;78901642494192,55622949301108922040000,609142137921576,3360
147;10,4,2,3;609142137921576,442954650205162995480000,1603687105090896,81312
157;1,4,9,3;78901642494192,55622949301108922040000,609142137921576,3360
159;7,4,2,3;609142137921576,442954650205162995480000,1603687105090896,81312
173;1,4,9,3;78901642494192,55622949301108922040000,609142137921576,3360
176;7,4,2,3;609142137921576,442954650205162995480000,1603687105090896,81312
177;1,4,12,3;78901642494192,55622949301108922040000,609142137921576,3360
178;10,4,2,3;609142137921576,442954650205162995480000,1603687105090896,81312
179;1,4,2,3;78901642494192,1019069674087500000000000,1603687105090896,28224
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
16:V/3,1/13/0/1;V/6,3/14/0/14;E/4,1/15/0/1;E/4,6/16/0/14;E/4,3/17/1/14
17:V/3,5/14/0/14;V/2,3/18/0/18;E/4,5/16/0/14;E/4,2/19/0/18;E/4,3/20/14/18
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/12;V/2,3/21/0/18;E/4,7/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
28:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/12;V/2,3/21/0/18;E/4,10/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
40:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/14;E/4,1/15/0/1;E/4,14/16/0/14;E/4,3/17/1/14
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
57:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
59:V/3,13/14/0/14;V/2,3/18/0/18;E/4,13/16/0/14;E/4,2/19/0/18;E/4,3/20/14/18
61:V/3,1/24/0/1;V/6,3/25/0/2;E/4,1/26/0/1;E/4,6/27/0/2;E/4,3/28/1/2
65:V/3,1/29/0/1;V/9,3/30/0/28;E/4,1/31/0/1;E/4,9/32/0/28;E/4,3/33/1/28
71:V/3,7/30/0/28;V/2,3/34/0/45;E/4,7/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
73:V/3,1/29/0/1;V/12,3/30/0/28;E/4,1/31/0/1;E/4,12/32/0/28;E/4,3/33/1/28
75:V/3,10/30/0/28;V/2,3/34/0/45;E/4,10/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
76:V/3,1/37/0/1;V/6,3/38/0/20;E/4,1/39/0/1;E/4,6/40/0/20;E/4,3/41/1/20
77:V/3,5/38/0/20;V/2,3/42/0/45;E/4,5/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
83:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
85:V/3,7/25/0/2;V/12,3/45/0/28;E/4,7/27/0/2;E/4,12/46/0/28;E/4,3/47/2/28
87:V/3,10/45/0/28;V/2,3/48/0/45;E/4,10/46/0/28;E/4,2/49/0/45;E/4,3/50/28/45
88:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
95:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
97:V/3,10/25/0/2;V/9,3/45/0/28;E/4,10/27/0/2;E/4,9/46/0/28;E/4,3/47/2/28
99:V/3,7/45/0/28;V/2,3/48/0/45;E/4,7/46/0/28;E/4,2/49/0/45;E/4,3/50/28/45
100:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
110:V/3,1/37/0/1;V/14,3/38/0/20;E/4,1/39/0/1;E/4,14/40/0/20;E/4,3/41/1/20
111:V/3,1/24/0/1;V/14,3/25/0/2;E/4,1/26/0/1;E/4,14/27/0/2;E/4,3/28/1/2
113:V/3,1/29/0/1;V/9,3/30/0/28;E/4,1/31/0/1;E/4,9/32/0/28;E/4,3/33/1/28
116:V/3,7/30/0/28;V/2,3/34/0/45;E/4,7/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
117:V/3,1/29/0/1;V/12,3/30/0/28;E/4,1/31/0/1;E/4,12/32/0/28;E/4,3/33/1/28
118:V/3,10/30/0/28;V/2,3/34/0/45;E/4,10/32/0/28;E/4,2/35/0/45;E/4,3/36/28/45
119:V/3,13/38/0/20;V/2,3/42/0/45;E/4,13/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
125:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
131:V/3,7/52/0/4;V/2,3/56/0/31;E/4,7/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
133:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
135:V/3,10/52/0/4;V/2,3/56/0/31;E/4,10/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/4;E/4,1/66/0/1;E/4,12/67/0/4;E/4,3/68/1/4
147:V/3,10/65/0/4;V/2,3/69/0/31;E/4,10/67/0/4;E/4,2/70/0/31;E/4,3/71/4/31
157:V/3,1/64/0/1;V/9,3/65/0/4;E/4,1/66/0/1;E/4,9/67/0/4;E/4,3/68/1/4
159:V/3,7/65/0/4;V/2,3/69/0/31;E/4,7/67/0/4;E/4,2/70/0/31;E/4,3/71/4/31
173:V/3,1/51/0/1;V/9,3/52/0/4;E/4,1/53/0/1;E/4,9/54/0/4;E/4,3/55/1/4
176:V/3,7/52/0/4;V/2,3/56/0/31;E/4,7/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
177:V/3,1/51/0/1;V/12,3/52/0/4;E/4,1/53/0/1;E/4,12/54/0/4;E/4,3/55/1/4
178:V/3,10/52/0/4;V/2,3/56/0/31;E/4,10/54/0/4;E/4,2/57/0/31;E/4,3/58/4/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37572577/100000000,37692813/100000000;4,3757,0,1681,6013,6013,1901;10,3769281300,0,1683451589,6022940151,6022940151,622437569477
1;C;0,3;18535669/50000000;4,3707,0,0,6013,6013,1827662;4,3707,0,0,6038,6038,1225112
1;C;3,4;9261593/25000000;4,3704,0,0,6038,6038,1165112;4,3704,0,0,6039,6039,1140958
1;C;4,5;7354331/20000000;4,3677,0,0,6039,6039,600958;4,3677,0,0,6063,6063,20062
1;L;5,6;7354331/20000000,4601641/12500000;4,3677,0,0,6063,6063,20062;8,36813128,0,0,60673823,60673823,5129342
1;L;6,7;4601641/12500000,579121/1562500;8,36813128,0,0,60673823,60673823,5129342;8,37063744,0,0,60880000,60880000,0
1;L;7,8;579121/1562500,37368769/100000000;8,37063744,0,0,60880000,60880000,0;8,37368769,0,0,61130000,61130000,0
1;L;8,9;37368769/100000000,9418761/25000000;8,37368769,0,0,61130000,61130000,0;8,37675044,0,0,61380000,61380000,0
1;L;9,10;9418761/25000000,37982569/100000000;8,37675044,0,0,61380000,61380000,0;8,37982569,0,0,61630000,61630000,0
1;L;10,11;37982569/100000000,2393209/6250000;8,37982569,0,0,61630000,61630000,0;8,38291344,0,0,61880000,61880000,0
1;L;11,12;2393209/6250000,2399983/6250000;8,38291344,0,0,61880000,61880000,0;8,38399728,0,0,61967514,61967514,17319608
2;L;0,1;37572577/100000000,37692813/100000000;8,37572577,0,60130000,60130000,16830966,183506844;10,3769281300,0,6022940151,6022940151,1683451589,622437569477
3;C;0,3;18535669/50000000;4,3707,0,0,6013,6013,1827662;4,3707,0,0,6038,6038,1225112
3;C;3,4;9261593/25000000;4,3704,0,0,6038,6038,1165112;4,3704,0,0,6039,6039,1140958
3;C;4,5;7354331/20000000;4,3677,0,0,6039,6039,600958;4,3677,0,0,6063,6063,20062
3;L;5,6;7354331/20000000,4601641/12500000;4,3677,0,0,6063,6063,20062;8,36813128,0,0,60673823,60673823,5129342
3;L;6,7;4601641/12500000,579121/1562500;8,36813128,0,0,60673823,60673823,5129342;8,37063744,0,0,60880000,60880000,0
3;L;7,8;579121/1562500,37368769/100000000;8,37063744,0,0,60880000,60880000,0;8,37368769,0,0,61130000,61130000,0
3;L;8,9;37368769/100000000,9418761/25000000;8,37368769,0,0,61130000,61130000,0;8,37675044,0,0,61380000,61380000,0
3;L;9,10;9418761/25000000,37982569/100000000;8,37675044,0,0,61380000,61380000,0;8,37982569,0,0,61630000,61630000,0
3;L;10,11;37982569/100000000,2393209/6250000;8,37982569,0,0,61630000,61630000,0;8,38291344,0,0,61880000,61880000,0
3;L;11,12;2393209/6250000,2399983/6250000;8,38291344,0,0,61880000,61880000,0;8,38399728,0,0,61967514,61967514,17319608
4;L;1,2;37692813/100000000,9275269/25000000;10,3769281300,6022940151,6022940151,0,1683451589,622437569477;10,3710107600,6037039535,6037039535,0,1144752580,836277311150
4;L;2,3;9275269/25000000,18535669/50000000;10,3710107600,6037039535,6037039535,0,1144752580,836277311150;8,37071338,60380000,60380000,0,11080559,12247519
4;L;3,4;18535669/50000000,9261593/25000000;8,37071338,60380000,60380000,0,11080559,12247519;10,3704637200,6038842208,6038842208,0,1075877331,1542395685911
4;L;4,5;9261593/25000000,7354331/20000000;10,3704637200,6038842208,6038842208,0,1075877331,1542395685911;8,36771655,60630000,60630000,0,1528740,154012400
4;L;5,6;7354331/20000000,4601641/12500000;8,36771655,60630000,60630000,0,1528740,154012400;8,36813128,60673823,60673823,0,0,5129342
4;L;6,7;4601641/12500000,579121/1562500;8,36813128,60673823,60673823,0,0,5129342;8,37063744,60880000,60880000,0,0,0
4;L;7,8;579121/1562500,37368769/100000000;8,37063744,60880000,60880000,0,0,0;8,37368769,61130000,61130000,0,0,0
4;L;8,9;37368769/100000000,9418761/25000000;8,37368769,61130000,61130000,0,0,0;8,37675044,61380000,61380000,0,0,0
4;L;9,10;9418761/25000000,37982569/100000000;8,37675044,61380000,61380000,0,0,0;8,37982569,61630000,61630000,0,0,0
4;L;10,11;37982569/100000000,2393209/6250000;8,37982569,61630000,61630000,0,0,0;8,38291344,61880000,61880000,0,0,0
4;L;11,12;2393209/6250000,2399983/6250000;8,38291344,61880000,61880000,0,0,0;8,38399728,61967514,61967514,0,0,17319608
5;C;0,1;37572577/100000000;4,3757,0,19,6013,6013,2827301;4,3757,0,19,6023,6023,2586581
6;C;0,3;18535669/50000000;4,3707,0,0,6013,6013,1827662;4,3707,0,0,6038,6038,1225112
6;C;3,4;9261593/25000000;4,3704,0,0,6038,6038,1165112;4,3704,0,0,6039,6039,1140958
6;C;4,5;7354331/20000000;4,3677,0,0,6039,6039,600958;4,3677,0,0,6063,6063,20062
6;L;5,6;7354331/20000000,4601641/12500000;4,3677,0,0,6063,6063,20062;8,36813128,0,0,60673823,60673823,5129342
7;C;0,1;37572577/100000000;4,3757,0,6013,6013,0,2827662;4,3757,19,6023,6023,0,2586581
8;C;0,3;18535669/50000000;4,3707,0,0,6013,6013,1827662;4,3707,0,0,6038,6038,1225112
8;C;3,4;9261593/25000000;4,3704,0,0,6038,6038,1165112;4,3704,0,0,6039,6039,1140958
8;C;4,5;7354331/20000000;4,3677,0,0,6039,6039,600958;4,3677,0,0,6063,6063,20062
8;L;5,6;7354331/20000000,4601641/12500000;4,3677,0,0,6063,6063,20062;8,36813128,0,0,60673823,60673823,5129342
9;C;1,3;18535669/50000000;4,3707,6023,6023,19,0,1586581;4,3707,6038,6038,8,0,1225048
9;C;3,4;9261593/25000000;4,3704,6038,6038,8,0,1165048;4,3704,6039,6039,7,0,1140909
9;C;4,5;7354331/20000000;4,3677,6039,6039,7,0,600909;4,3677,6063,6063,0,0,20062
9;L;5,6;7354331/20000000,4601641/12500000;4,3677,6063,6063,0,0,20062;8,36813128,60673823,60673823,0,0,5129342
10;C;0,18;27053183/100000000;2,27,0,0,0,61,1679;2,27,0,0,0,64,1304
11;C;0,18;27053183/100000000;2,27,0,0,61,0,1679;2,27,0,0,64,0,1304
12;C;6,12;4601641/12500000;8,36813128,60673823,0,0,60673823,5129342;2,36,62,0,0,14,3160
12;C;12,18;27053183/100000000;2,27,62,0,0,14,1360;2,27,64,0,0,0,1304
13;C;0,1;37572577/100000000;2,37,1,1,49,61,1276;2,37,1,1,49,61,1276
14;C;0,14;512829/1562500;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
15;C;0,1;37572577/100000000;2,37,0,0,61,49,1278;2,37,1,1,61,49,1276
16;C;0,14;512829/1562500;2,32,0,0,0,61,2679;2,32,0,0,0,63,2431
17;C;1,14;512829/1562500;2,32,61,1,1,49,276;2,32,63,0,0,0,2431
18;C;0,18;27053183/100000000;2,27,0,0,0,38,3956;2,27,0,0,0,39,3879
19;C;0,18;27053183/100000000;2,27,0,0,0,51,2799;2,27,0,0,0,39,3879
20;C;14,18;27053183/100000000;2,27,0,0,0,63,1431;2,27,0,0,0,39,3879
21;C;0,18;27053183/100000000;2,27,0,0,34,61,523;2,27,0,0,35,64,79
22;C;0,18;27053183/100000000;2,27,0,0,61,38,235;2,27,0,0,64,35,79
23;L;12,13;2399983/6250000,1126769/3125000;8,38399728,61967514,0,0,61967514,17319608;8,36056608,62130000,0,0,57889417,99400111
23;L;13,14;1126769/3125000,512829/1562500;8,36056608,62130000,0,0,57889417,99400111;8,32821056,62376415,0,0,51704874,56391899
23;L;14,15;512829/1562500,4097101/12500000;8,32821056,62376415,0,0,51704874,56391899;8,32776808,62380000,0,0,51614892,123828336
23;L;15,16;4097101/12500000,2989133/10000000;8,32776808,62380000,0,0,51614892,123828336;8,29891330,62630000,0,0,45340368,129624576
23;L;16,17;2989133/10000000,27503129/100000000;8,29891330,62630000,0,0,45340368,129624576;4,2750,6288,0,0,3907,196407
23;L;17,18;27503129/100000000,27053183/100000000;4,2750,6288,0,0,3907,196407;2,27,64,0,0,35,79
24;C;0,1;37572577/100000000;4,3757,0,0,6013,6013,2827662;4,3757,0,0,6023,6023,2586942
25;C;0,2;9275269/25000000;4,3710,0,0,6013,6013,1887662;4,3710,0,0,6038,6038,1285112
26;C;0,1;37572577/100000000;4,3757,0,0,6013,6013,2827662;4,3757,0,0,6023,6023,2586942
27;C;0,2;9275269/25000000;4,3710,0,0,6013,6013,1887662;4,3710,0,0,6038,6038,1285112
28;C;1,2;9275269/25000000;4,3710,6023,6023,0,0,1646942;4,3710,6038,6038,0,0,1285112
29;C;0,1;37572577/100000000;2,37,0,0,33,61,2590;2,37,0,0,33,61,2590
30;C;0,28;11781543/50000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
31;C;0,1;37572577/100000000;2,37,0,0,61,33,2590;2,37,0,0,61,33,2590
32;C;0,28;11781543/50000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
33;C;1,28;11781543/50000000;4,2356,6023,0,0,3258,228907;2,23,65,0,0,0,375
34;C;0,45;4249149/50000000;2,8,0,0,0,27,871;2,8,0,0,0,31,639
35;C;0,45;4249149/50000000;2,8,0,0,0,39,79;2,8,0,0,0,31,639
36;C;28,30;2635233/12500000;4,2108,0,0,0,6491,26919;2,21,0,0,0,61,479
36;C;30,32;19853011/100000000;2,19,0,0,0,61,79;2,19,0,0,0,59,319
36;C;32,34;3508817/20000000;4,1754,0,0,0,5852,834096;2,17,0,0,0,55,375
36;C;34,36;15433531/100000000;4,1543,0,0,0,5412,1570256;2,15,0,0,0,50,500
36;C;36,38;13521349/100000000;2,13,0,0,0,50,100;2,13,0,0,0,46,484
36;C;38,40;11807539/100000000;2,11,0,0,0,46,84;2,11,0,0,0,41,519
36;C;40,45;4249149/50000000;4,849,0,0,0,4092,235536;2,8,0,0,0,31,639
37;C;0,1;37572577/100000000;2,37,0,0,4,61,3663;2,37,0,0,4,61,3663
38;C;0,20;5331771/20000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
39;C;0,1;37572577/100000000;2,37,0,0,61,4,3663;2,37,0,0,61,4,3663
40;C;0,20;5331771/20000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
41;C;1,20;5331771/20000000;2,26,61,0,0,4,1463;2,26,64,0,0,0,1104
42;C;0,45;4249149/50000000;2,8,0,0,0,6,1564;2,8,0,0,0,7,1551
43;C;0,45;4249149/50000000;4,849,0,0,0,4036,690704;2,8,0,0,0,7,1551
44;C;20,26;23924667/100000000;2,23,0,0,0,64,504;2,23,0,0,0,49,2199
44;C;26,32;19853011/100000000;2,19,0,0,0,49,1399;2,19,0,0,0,39,2279
44;C;32,45;4249149/50000000;2,8,0,0,0,39,79;2,8,0,0,0,7,1551
45;C;0,28;11781543/50000000;2,23,0,0,21,61,438;8,23563086,0,0,22365001,64903188,117706655
46;C;0,28;11781543/50000000;2,23,0,0,19,61,518;8,23563086,0,0,22365001,64903188,117706655
47;C;2,8;7354331/20000000;4,3677,6038,0,0,6038,625112;2,36,62,0,0,55,331
47;C;8,11;37368769/100000000;2,37,62,0,0,55,531;2,37,62,0,0,48,1252
47;C;11,15;4097101/12500000;2,32,62,0,0,48,252;2,32,63,0,0,44,495
47;C;15,16;2989133/10000000;4,2989,6238,0,0,4353,1918747;2,29,63,0,0,42,67
47;L;16,17;2989133/10000000,27503129/100000000;2,29,63,0,0,42,67;8,27503129,62880000,0,0,39328506,15807964
47;L;17,18;27503129/100000000,27053183/100000000;8,27503129,62880000,0,0,39328506,15807964;8,27053183,63052579,0,0,37881511,5805638
47;L;18,19;27053183/100000000,3357279/12500000;8,27053183,63052579,0,0,37881511,5805638;8,26858232,63130000,0,0,37232370,124183100
47;L;19,20;3357279/12500000,5331771/20000000;8,26858232,63130000,0,0,37232370,124183100;10,2665885500,6321099505,0,0,3655326291,754212938294
47;L;20,21;5331771/20000000,26257897/100000000;10,2665885500,6321099505,0,0,3655326291,754212938294;8,26257897,63380000,0,0,35136234,60297244
47;L;21,22;26257897/100000000,205617/800000;8,26257897,63380000,0,0,35136234,60297244;8,25702125,63630000,0,0,33040098,24150396
47;L;22,23;205617/800000,6297729/25000000;8,25702125,63630000,0,0,33040098,24150396;8,25190916,63880000,0,0,30943962,15742556
47;L;23,24;6297729/25000000,2472427/10000000;8,25190916,63880000,0,0,30943962,15742556;8,24724270,64130000,0,0,28847826,35073724
47;L;24,25;2472427/10000000,24302187/100000000;8,24724270,64130000,0,0,28847826,35073724;8,24302187,64380000,0,0,26751690,82143900
47;L;25,26;24302187/100000000,23924667/100000000;8,24302187,64380000,0,0,26751690,82143900;8,23924667,64630000,0,0,24655554,156953084
47;L;26,27;23924667/100000000,23591709/100000000;8,23924667,64630000,0,0,24655554,156953084;8,23591709,64880000,0,0,22559418,59501276
47;L;27,28;23591709/100000000,11781543/50000000;8,23591709,64880000,0,0,22559418,59501276;8,23563086,64903188,0,0,22365001,117706655
48;C;0,45;4249149/50000000;2,8,0,0,25,27,246;8,8498298,0,0,27908409,30344361,62590398
49;C;0,22;205617/800000;2,25,0,0,20,39,3079;2,25,0,0,23,36,3175
49;C;22,33;2334219/12500000;2,18,0,0,23,36,1775;2,18,0,0,25,34,1819
49;C;33,39;394989/3125000;2,12,0,0,25,34,619;2,12,0,0,27,32,647
49;C;39,42;5146051/50000000;2,10,0,0,27,32,247;2,10,0,0,28,32,192
49;C;42,43;2402193/25000000;4,960,0,0,2721,3101,2179958;2,9,0,0,28,31,55
49;C;43,44;2243759/25000000;4,897,0,0,2746,3078,925400;4,897,0,0,2771,3054,934643
49;L;44,45;2243759/25000000,4249149/50000000;4,897,0,0,2771,3054,934643;8,8498298,0,0,27908409,30344361,62590398
50;L;28,29;11781543/50000000,22360309/100000000;8,23563086,22365001,0,0,64903188,117706655;10,2236030900,2268499235,0,0,6290828961,204248075254
50;L;29,30;22360309/100000000,2635233/12500000;10,2236030900,2268499235,0,0,6290828961,204248075254;8,21081864,23037698,0,0,60709449,72977195
50;L;30,31;2635233/12500000,20205613/100000000;8,21081864,23037698,0,0,60709449,72977195;8,20205613,23287731,0,0,59150690,57395539
50;L;31,32;20205613/100000000,19853011/100000000;8,20205613,23287731,0,0,59150690,57395539;10,1985301100,2339040235,0,0,5851060775,586307544150
50;L;32,33;19853011/100000000,2334219/12500000;10,1985301100,2339040235,0,0,5851060775,586307544150;8,18673752,23743108,0,0,56311767,119838047
50;L;33,34;2334219/12500000,3508817/20000000;8,18673752,23743108,0,0,56311767,119838047;8,17544085,24095813,0,0,54112926,35587555
50;L;34,35;3508817/20000000,4116003/25000000;8,17544085,24095813,0,0,54112926,35587555;8,16464012,24448518,0,0,51914085,146216451
50;L;35,36;4116003/25000000,15433531/100000000;8,16464012,24448518,0,0,51914085,146216451;10,1543353100,2480122235,0,0,4971524402,819777147171
50;L;36,37;15433531/100000000,3613161/25000000;10,1543353100,2480122235,0,0,4971524402,819777147171;8,14452644,25153928,0,0,47516404,57079600
50;L;37,38;3613161/25000000,13521349/100000000;8,14452644,25153928,0,0,47516404,57079600;10,1352134900,2550663236,0,0,4531756215,664326882079
50;L;38,39;13521349/100000000,394989/3125000;10,1352134900,2550663236,0,0,4531756215,664326882079;8,12639648,25859338,0,0,43118722,51288472
50;L;39,40;394989/3125000,11807539/100000000;8,12639648,25859338,0,0,43118722,51288472;10,1180753900,2621204236,0,0,4091988029,323696351463
50;L;40,41;11807539/100000000,86133/781250;10,1180753900,2621204236,0,0,4091988029,323696351463;8,11025024,26564748,0,0,38721040,25014896
50;L;41,42;86133/781250,5146051/50000000;8,11025024,26564748,0,0,38721040,25014896;8,10292102,26917453,0,0,36522199,104197190
50;L;42,43;5146051/50000000,2402193/25000000;8,10292102,26917453,0,0,36522199,104197190;10,960877200,2727015736,0,0,3432335749,481744987303
50;L;43,44;2402193/25000000,2243759/25000000;10,960877200,2727015736,0,0,3432335749,481744987303;8,8975036,27622863,0,0,32124517,47199942
50;L;44,45;2243759/25000000,4249149/50000000;8,8975036,27622863,0,0,32124517,47199942;8,8498298,27908409,0,0,30344361,62590398
51;C;0,1;37572577/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
52;C;0,4;9261593/25000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
53;C;0,1;37572577/100000000;2,37,0,0,61,0,3679;2,37,0,0,61,0,3679
54;C;0,4;9261593/25000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
55;C;1,4;9261593/25000000;2,37,61,0,0,0,3679;2,37,61,0,0,0,3679
56;C;0,31;20205613/100000000;2,20,0,0,0,21,3559;2,20,0,0,0,23,3471
57;C;0,31;20205613/100000000;2,20,0,0,0,28,3216;2,20,0,0,0,23,3471
58;C;4,31;20205613/100000000;2,20,0,0,0,61,279;2,20,0,0,0,23,3471
59;C;0,1;37572577/100000000;2,37,0,0,0,49,4999;2,37,0,0,0,49,4999
60;C;0,31;20205613/100000000;2,20,0,0,0,5,3975;2,20,0,0,0,5,3975
61;C;0,1;37572577/100000000;2,37,0,0,0,50,4900;2,37,0,0,0,49,4999
62;C;0,31;20205613/100000000;2,20,0,0,0,27,3271;2,20,0,0,0,5,3975
63;C;1,31;20205613/100000000;2,20,0,0,0,49,1599;2,20,0,0,0,5,3975
64;C;0,1;37572577/100000000;2,37,0,0,17,61,3390;2,37,0,0,17,61,3390
65;C;0,4;9261593/25000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
66;C;0,1;37572577/100000000;2,37,0,0,61,17,3390;2,37,0,0,61,17,3390
67;C;0,4;9261593/25000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
68;C;1,4;9261593/25000000;2,37,61,0,0,17,3390;2,37,61,0,0,16,3423
69;C;0,31;20205613/100000000;2,20,0,0,19,21,3198;2,20,0,0,21,23,3030
70;C;0,31;20205613/100000000;2,20,0,0,16,28,2960;2,20,0,0,21,23,3030
71;C;4,31;20205613/100000000;2,20,16,0,0,61,23;2,20,21,0,0,23,3030
MASS SLACK NUMERATOR 1223730121091433568601433821032679414204310624469938183633561205288359829011678558030844815025960652507415387655306349318893879
BIN 33: PATH2; (443/336,37/28]; gamma0=6017/10000; mass ceiling=19918349/20000000.
GAMMA 0=6017/10000;1=99825075000/165649394567;2=98925750000/163850744567;3=99225525000/164308201217;4=3021/5000;5=6067/10000;6=171771075000/282984352159;7=1523/2500;8=6117/10000;9=3071/5000;10=6167/10000;11=387/625;12=15288525000/24658148723;13=6217/10000;14=14089425000/22580108423;15=3121/5000;16=6267/10000;17=1573/2500;18=49462875000/78371701967;19=6317/10000;20=81538800000/129076844567;21=3171/5000;22=6367/10000;23=799/1250;24=6417/10000;25=3221/5000;26=6467/10000;27=74044425000/114088094567;28=1623/2500;29=6517/10000;30=3271/5000;31=40469625000/61700902021;32=6567/10000;33=412/625;34=6617/10000;35=3321/5000;36=6667/10000;37=1673/2500;38=6717/10000;39=3371/5000;40=6767/10000;41=849/1250;42=6817/10000;43=3421/5000;44=6867/10000;45=62053425000/90106094567;46=1723/2500;47=6917/10000;48=3471/5000;49=6967/10000;50=437/625;51=7017/10000;52=3521/5000;53=7067/10000;54=1773/2500;55=7117/10000;56=3571/5000;57=7167/10000;58=899/1250;59=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37572113,37684413;1,2,37684413,37204374;2,3,37204374,37156366;3,4,37156366,37065281;4,5,37065281,36814424;5,6,36814424,36844717;6,7,36844717,37112464;7,8,37112464,37417689;8,9,37417689,37724164;9,10,37724164,38031889;10,11,38031889,38340864;11,12,38340864,38442378;12,13,38442378,36024897;13,14,36024897,33035520;14,15,33035520,32757654;15,16,32757654,29883195;16,17,29883195,27401520;17,18,27401520,26878956;18,19,26878956,26737390;19,20,26737390,26735558;20,21,26735558,26142091;21,22,26142091,25591758;22,23,25591758,25086391;23,24,25086391,24625991;24,25,24625991,24210556;25,26,24210556,23840087;26,27,23840087,23537625;27,28,23537625,23435266;28,29,23435266,22108470;29,30,22108470,20831792;30,31,20831792,19992252;31,32,19992252,19605232;32,33,19605232,18428789;33,34,18428789,17302464;34,35,17302464,16226256;35,36,16226256,15200166;36,37,15200166,14224193;37,38,14224193,13298338;38,39,13298338,12422601;39,40,12422601,11596981;40,41,11596981,10821478;41,42,10821478,10096093;42,43,10096093,9420826;43,44,9420826,8795676;44,45,8795676,8338213;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;143829971417/37771650000,1/3,165649394567/75543300000;-744901407109639
2;0,3,6;31/84,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;31/84,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;95/42,5/3,55/84;-5
10;0,6;1/3,1;-1
11;2,3,7;163/84,4/3,55/84;-1
14;0,6;1/3,1;-1
15;2,3,10;163/84,4/3,55/84;-1
18;1,4,8;122010548267/25181100000,1,165649394567/75543300000;-618995907109639
20;0,3,8;43/42,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;56552278817/12590550000,5,165649394567/75543300000;-52421157109639
26;0,8;1/3,1;-1
27;2,3,10;163/84,4/3,55/84;-1
29;1,3,9;5/14,3,37/28;-5
30;1,4,11;122010548267/25181100000,1,165649394567/75543300000;-618995907109639
32;0,3,11;43/42,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;56552278817/12590550000,5,165649394567/75543300000;-52421157109639
38;0,11;1/3,1;-1
39;2,3,7;163/84,4/3,55/84;-1
41;1,3,12;5/14,3,37/28;-5
42;1,4,14;143829971417/37771650000,1/3,165649394567/75543300000;-744901407109639
43;0,3,14;31/84,3,1;-2
45;0,3,14;31/84,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;163/84,4/3,55/84;-1
56;2,3,7;163/84,4/3,55/84;-1
58;2,3,10;163/84,4/3,55/84;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;31/84,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
66;0,3,6;31/84,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;137/42,5/3,23/28;-1
70;0,6;1/3,1;-1
72;1,4,6;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
80;0,3,8;43/42,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;64924994567/12590550000,4,165649394567/75543300000;-241279407109639
84;1,4,8;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
86;0,8;1/3,1;-1
89;1,3,9;5/14,3,37/28;-5
90;1,11;3,1;-2
91;1,4,11;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
92;0,3,11;43/42,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;64924994567/12590550000,4,165649394567/75543300000;-241279407109639
96;1,4,11;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
98;0,11;1/3,1;-1
101;1,3,12;5/14,3,37/28;-5
102;0,1,14;2/3,2,1;-1
103;0,3,14;31/84,3,1;-2
104;1,4,14;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
105;0,3,14;31/84,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;64924994567/15108660000,10/3,165649394567/75543300000;-157342407109639
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;137/42,5/3,23/28;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;23809185923/4721456250,5/3,165649394567/75543300000;-367184907109639
122;0,3,6;31/84,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
126;0,3,6;31/84,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;179/42,13/6,15/14;-1
130;0,6;1/3,1;-1
132;1,4,6;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
134;0,6;1/3,1;-1
136;1,4,6;63730715809/18885825000,19/3,165649394567/75543300000;-39830607109639
138;0,1,8;1,3,1;-2
139;1,4,8;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
140;0,3,8;43/42,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;81154213517/12590550000,3,165649394567/75543300000;-430137657109639
143;1,4,8;63730715809/18885825000,19/3,165649394567/75543300000;-39830607109639
144;1,4,8;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
146;0,8;1/3,1;-1
148;1,4,8;63730715809/18885825000,19/3,165649394567/75543300000;-39830607109639
149;1,3,9;5/14,3,37/28;-5
150;0,1,11;1,3,1;-2
151;1,4,11;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
152;0,3,11;43/42,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;81154213517/12590550000,3,165649394567/75543300000;-430137657109639
155;1,4,11;63730715809/18885825000,19/3,165649394567/75543300000;-39830607109639
156;1,4,11;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
158;0,11;1/3,1;-1
160;1,4,11;63730715809/18885825000,19/3,165649394567/75543300000;-39830607109639
161;1,3,12;5/14,3,37/28;-5
162;0,1,14;5/3,2,1;-1
163;0,3,14;31/84,3,1;-2
164;1,4,14;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
165;0,3,14;31/84,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;86787225587/15108660000,7/3,165649394567/75543300000;-409153407109639
169;0,14;1/3,1;-1
170;1,4,14;63730715809/18885825000,19/3,165649394567/75543300000;-39830607109639
171;1,4,14;23809185923/4721456250,5/3,165649394567/75543300000;-367184907109639
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;179/42,13/6,15/14;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;43073600930108,666580503537372912075000,94860551807889,301
4;1,4,6,3;43073600930108,4281881551976644878780000,1259487856980948,868
5;5,4,2,3;1259487856980948,9960453487083893405220000,176142038020284,6804
12;1,4,6,3;43073600930108,4281881551976644878780000,1259487856980948,868
13;5,4,2,3;1259487856980948,9960453487083893405220000,176142038020284,6804
16;1,4,6,3;43073600930108,24772781496868010164125000,316873469984967,1015
17;5,4,2,3;316873469984967,1728310848458111260875000,176142038020284,483
19;1,4,8,3;43073600930108,4281881551976644878780000,1259487856980948,868
23;7,4,8,3;1259487856980948,6291129728939944691565000,316873469984967,4137
24;1,4,8,3;43073600930108,4281881551976644878780000,1259487856980948,868
25;7,4,2,3;94860551807889,1772359713414122252175000,176142038020284,273
28;7,4,8,3;1259487856980948,6291129728939944691565000,316873469984967,4137
31;1,4,11,3;43073600930108,4281881551976644878780000,1259487856980948,868
35;10,4,11,3;1259487856980948,6291129728939944691565000,316873469984967,4137
36;1,4,11,3;43073600930108,4281881551976644878780000,1259487856980948,868
37;10,4,2,3;94860551807889,1772359713414122252175000,176142038020284,273
40;10,4,11,3;1259487856980948,6291129728939944691565000,316873469984967,4137
44;1,4,14,3;43073600930108,4281881551976644878780000,1259487856980948,868
48;1,4,14,3;43073600930108,4281881551976644878780000,1259487856980948,868
50;1,4,14,3;43073600930108,24772781496868010164125000,316873469984967,1015
51;1,4,14,3;43073600930108,666580503537372912075000,94860551807889,301
53;13,4,2,3;1259487856980948,9960453487083893405220000,176142038020284,6804
57;13,4,2,3;1259487856980948,9960453487083893405220000,176142038020284,6804
59;13,4,2,3;316873469984967,1728310848458111260875000,176142038020284,483
61;1,4,6,3;43073600930108,397795640597204065650000,6428997158871,14
65;1,4,9,3;43073600930108,1066528805659796659320000,13601998617570972,2408
71;7,4,2,3;13601998617570972,3067031419266984747480000,2194244611730108,1120
73;1,4,12,3;43073600930108,1066528805659796659320000,13601998617570972,2408
75;10,4,2,3;13601998617570972,3067031419266984747480000,2194244611730108,1120
76;1,4,6,3;43073600930108,477536639074682280187500,2440155453142743,427
77;5,4,2,3;2440155453142743,1819950043182788667937500,2194244611730108,455
83;1,4,8,3;43073600930108,477536639074682280187500,2440155453142743,427
85;7,4,12,3;6428997158871,4466469925197933186870000,13601998617570972,3486
87;10,4,2,3;13601998617570972,3067031419266984747480000,2194244611730108,1120
88;1,4,8,3;43073600930108,477536639074682280187500,2440155453142743,427
95;1,4,11,3;43073600930108,477536639074682280187500,2440155453142743,427
97;10,4,9,3;6428997158871,4466469925197933186870000,13601998617570972,3486
99;7,4,2,3;13601998617570972,3067031419266984747480000,2194244611730108,1120
100;1,4,11,3;43073600930108,477536639074682280187500,2440155453142743,427
110;1,4,14,3;43073600930108,477536639074682280187500,2440155453142743,427
111;1,4,14,3;43073600930108,397795640597204065650000,6428997158871,14
113;1,4,9,3;43073600930108,1066528805659796659320000,13601998617570972,2408
116;7,4,2,3;13601998617570972,3067031419266984747480000,2194244611730108,1120
117;1,4,12,3;43073600930108,1066528805659796659320000,13601998617570972,2408
118;10,4,2,3;13601998617570972,3067031419266984747480000,2194244611730108,1120
119;13,4,2,3;2440155453142743,1819950043182788667937500,2194244611730108,455
125;1,4,9,3;43073600930108,318236512477763252520000,910426425882372,56
131;7,4,2,3;910426425882372,3133691399826894783240000,468186915555002,854
133;1,4,12,3;43073600930108,318236512477763252520000,910426425882372,56
135;10,4,2,3;910426425882372,3133691399826894783240000,468186915555002,854
137;1,4,2,3;43073600930108,7133487718612500000000000,468186915555002,98
145;1,4,12,3;43073600930108,318236512477763252520000,910426425882372,56
147;10,4,2,3;910426425882372,3133691399826894783240000,468186915555002,854
157;1,4,9,3;43073600930108,318236512477763252520000,910426425882372,56
159;7,4,2,3;910426425882372,3133691399826894783240000,468186915555002,854
173;1,4,9,3;43073600930108,318236512477763252520000,910426425882372,56
176;7,4,2,3;910426425882372,3133691399826894783240000,468186915555002,854
177;1,4,12,3;43073600930108,318236512477763252520000,910426425882372,56
178;10,4,2,3;910426425882372,3133691399826894783240000,468186915555002,854
179;1,4,2,3;43073600930108,7133487718612500000000000,468186915555002,98
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/18;E/4,5/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
16:V/3,1/13/0/1;V/6,3/14/0/14;E/4,1/15/0/1;E/4,6/16/0/14;E/4,3/17/1/14
17:V/3,5/14/0/14;V/2,3/18/0/18;E/4,5/16/0/14;E/4,2/19/0/18;E/4,3/20/14/18
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/12;V/2,3/21/0/18;E/4,7/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
28:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/12;V/2,3/21/0/18;E/4,10/3/0/12;E/4,2/22/0/18;E/4,3/23/12/18
40:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/14;E/4,1/15/0/1;E/4,14/16/0/14;E/4,3/17/1/14
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
57:V/3,13/6/0/6;V/2,3/10/0/18;E/4,13/8/0/6;E/4,2/11/0/18;E/4,3/12/6/18
59:V/3,13/14/0/14;V/2,3/18/0/18;E/4,13/16/0/14;E/4,2/19/0/18;E/4,3/20/14/18
61:V/3,1/24/0/1;V/6,3/25/0/2;E/4,1/26/0/1;E/4,6/27/0/2;E/4,3/28/1/2
65:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
71:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
73:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
75:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
76:V/3,1/37/0/1;V/6,3/38/0/20;E/4,1/39/0/1;E/4,6/40/0/20;E/4,3/41/1/20
77:V/3,5/38/0/20;V/2,3/42/0/45;E/4,5/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
83:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
85:V/3,7/25/0/2;V/12,3/45/0/27;E/4,7/27/0/2;E/4,12/46/0/27;E/4,3/47/2/27
87:V/3,10/45/0/27;V/2,3/48/0/45;E/4,10/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
88:V/3,1/29/0/1;V/8,3/38/0/20;E/4,1/31/0/1;E/4,8/40/0/20;E/4,3/33/1/20
95:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
97:V/3,10/25/0/2;V/9,3/45/0/27;E/4,10/27/0/2;E/4,9/46/0/27;E/4,3/47/2/27
99:V/3,7/45/0/27;V/2,3/48/0/45;E/4,7/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
100:V/3,1/29/0/1;V/11,3/38/0/20;E/4,1/31/0/1;E/4,11/40/0/20;E/4,3/33/1/20
110:V/3,1/37/0/1;V/14,3/38/0/20;E/4,1/39/0/1;E/4,14/40/0/20;E/4,3/41/1/20
111:V/3,1/24/0/1;V/14,3/25/0/2;E/4,1/26/0/1;E/4,14/27/0/2;E/4,3/28/1/2
113:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
116:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
117:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
118:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
119:V/3,13/38/0/20;V/2,3/42/0/45;E/4,13/40/0/20;E/4,2/43/0/45;E/4,3/44/20/45
125:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
131:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
133:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
135:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/3;E/4,1/66/0/1;E/4,12/67/0/3;E/4,3/68/1/3
147:V/3,10/65/0/3;V/2,3/69/0/31;E/4,10/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
157:V/3,1/64/0/1;V/9,3/65/0/3;E/4,1/66/0/1;E/4,9/67/0/3;E/4,3/68/1/3
159:V/3,7/65/0/3;V/2,3/69/0/31;E/4,7/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
173:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
176:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
177:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
178:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37572113/100000000,37684413/100000000;4,3757,0,1652,6017,6017,2318;10,3768441300,0,1654255783,6026286741,6026286741,34906254749
1;C;0,3;18578183/50000000;4,3715,0,0,6017,6017,1891422;4,3715,0,0,6039,6039,1360958
1;C;3,4;37065281/100000000;4,3706,0,0,6039,6039,1180958;4,3706,0,0,6042,6042,1108472
1;C;4,5;4601803/12500000;4,3681,0,0,6042,6042,608472;4,3681,0,0,6067,6067,3022
1;L;5,6;4601803/12500000,36844717/100000000;4,3681,0,0,6067,6067,3022;10,3684471700,0,0,6069984920,6069984920,141945187200
1;L;6,7;36844717/100000000,2319529/6250000;10,3684471700,0,0,6069984920,6069984920,141945187200;8,37112464,0,0,60920000,60920000,0
1;L;7,8;2319529/6250000,37417689/100000000;8,37112464,0,0,60920000,60920000,0;8,37417689,0,0,61170000,61170000,0
1;L;8,9;37417689/100000000,9431041/25000000;8,37417689,0,0,61170000,61170000,0;8,37724164,0,0,61420000,61420000,0
1;L;9,10;9431041/25000000,38031889/100000000;8,37724164,0,0,61420000,61420000,0;8,38031889,0,0,61670000,61670000,0
1;L;10,11;38031889/100000000,149769/390625;8,38031889,0,0,61670000,61670000,0;8,38340864,0,0,61920000,61920000,0
1;L;11,12;149769/390625,19221189/50000000;8,38340864,0,0,61920000,61920000,0;10,3844237800,0,0,6200191739,6200191739,799272311758
2;L;0,1;37572113/100000000,37684413/100000000;8,37572113,0,60170000,60170000,16539794,14437564;10,3768441300,0,6026286741,6026286741,1654255783,34906254749
3;C;0,3;18578183/50000000;4,3715,0,0,6017,6017,1891422;4,3715,0,0,6039,6039,1360958
3;C;3,4;37065281/100000000;4,3706,0,0,6039,6039,1180958;4,3706,0,0,6042,6042,1108472
3;C;4,5;4601803/12500000;4,3681,0,0,6042,6042,608472;4,3681,0,0,6067,6067,3022
3;L;5,6;4601803/12500000,36844717/100000000;4,3681,0,0,6067,6067,3022;10,3684471700,0,0,6069984920,6069984920,141945187200
3;L;6,7;36844717/100000000,2319529/6250000;10,3684471700,0,0,6069984920,6069984920,141945187200;8,37112464,0,0,60920000,60920000,0
3;L;7,8;2319529/6250000,37417689/100000000;8,37112464,0,0,60920000,60920000,0;8,37417689,0,0,61170000,61170000,0
3;L;8,9;37417689/100000000,9431041/25000000;8,37417689,0,0,61170000,61170000,0;8,37724164,0,0,61420000,61420000,0
3;L;9,10;9431041/25000000,38031889/100000000;8,37724164,0,0,61420000,61420000,0;8,38031889,0,0,61670000,61670000,0
3;L;10,11;38031889/100000000,149769/390625;8,38031889,0,0,61670000,61670000,0;8,38340864,0,0,61920000,61920000,0
3;L;11,12;149769/390625,19221189/50000000;8,38340864,0,0,61920000,61920000,0;10,3844237800,0,0,6200191739,6200191739,799272311758
4;L;1,2;37684413/100000000,18602187/50000000;10,3768441300,6026286741,6026286741,0,1654255783,34906254749;8,37204374,60375527,60375527,0,12266467,66282453
4;L;2,3;18602187/50000000,18578183/50000000;8,37204374,60375527,60375527,0,12266467,66282453;8,37156366,60389880,60389880,0,11721685,87931975
4;L;3,4;18578183/50000000,37065281/100000000;8,37156366,60389880,60389880,0,11721685,87931975;8,37065281,60420000,60420000,0,10578439,28323279
4;L;4,5;37065281/100000000,4601803/12500000;8,37065281,60420000,60420000,0,10578439,28323279;8,36814424,60670000,60670000,0,1089447,105234191
4;L;5,6;4601803/12500000,36844717/100000000;8,36814424,60670000,60670000,0,1089447,105234191;10,3684471700,6069984920,6069984920,0,0,141945187200
4;L;6,7;36844717/100000000,2319529/6250000;10,3684471700,6069984920,6069984920,0,0,141945187200;8,37112464,60920000,60920000,0,0,0
4;L;7,8;2319529/6250000,37417689/100000000;8,37112464,60920000,60920000,0,0,0;8,37417689,61170000,61170000,0,0,0
4;L;8,9;37417689/100000000,9431041/25000000;8,37417689,61170000,61170000,0,0,0;8,37724164,61420000,61420000,0,0,0
4;L;9,10;9431041/25000000,38031889/100000000;8,37724164,61420000,61420000,0,0,0;8,38031889,61670000,61670000,0,0,0
4;L;10,11;38031889/100000000,149769/390625;8,38031889,61670000,61670000,0,0,0;8,38340864,61920000,61920000,0,0,0
4;L;11,12;149769/390625,19221189/50000000;8,38340864,61920000,61920000,0,0,0;10,3844237800,6200191739,6200191739,0,0,799272311758
5;C;0,1;37572113/100000000;4,3757,0,22,6017,6017,2730938;4,3757,0,22,6027,6027,2490058
6;C;0,3;18578183/50000000;4,3715,0,0,6017,6017,1891422;4,3715,0,0,6039,6039,1360958
6;C;3,4;37065281/100000000;4,3706,0,0,6039,6039,1180958;4,3706,0,0,6042,6042,1108472
6;C;4,5;4601803/12500000;4,3681,0,0,6042,6042,608472;4,3681,0,0,6067,6067,3022
6;L;5,6;4601803/12500000,36844717/100000000;4,3681,0,0,6067,6067,3022;10,3684471700,0,0,6069984920,6069984920,141945187200
7;C;0,1;37572113/100000000;4,3757,0,6017,6017,0,2731422;4,3757,22,6027,6027,0,2490058
8;C;0,3;18578183/50000000;4,3715,0,0,6017,6017,1891422;4,3715,0,0,6039,6039,1360958
8;C;3,4;37065281/100000000;4,3706,0,0,6039,6039,1180958;4,3706,0,0,6042,6042,1108472
8;C;4,5;4601803/12500000;4,3681,0,0,6042,6042,608472;4,3681,0,0,6067,6067,3022
8;L;5,6;4601803/12500000,36844717/100000000;4,3681,0,0,6067,6067,3022;10,3684471700,0,0,6069984920,6069984920,141945187200
9;C;1,3;18578183/50000000;4,3715,6027,6027,22,0,1650058;4,3715,6039,6039,14,0,1360762
9;C;3,4;37065281/100000000;4,3706,6039,6039,14,0,1180762;4,3706,6042,6042,13,0,1108303
9;C;4,5;4601803/12500000;4,3681,6042,6042,13,0,608303;4,3681,6067,6067,0,0,3022
9;L;5,6;4601803/12500000,36844717/100000000;4,3681,6067,6067,0,0,3022;10,3684471700,6069984920,6069984920,0,0,141945187200
10;C;0,18;6719739/25000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
11;C;0,18;6719739/25000000;2,26,0,0,61,0,1479;2,26,0,0,64,0,1104
12;C;6,12;36844717/100000000;10,3684471700,6069984920,0,0,6069984920,141945187200;2,36,63,0,0,14,3035
12;C;12,18;6719739/25000000;2,26,63,0,0,14,1035;2,26,64,0,0,0,1104
13;C;0,1;37572113/100000000;2,37,1,1,48,61,1373;2,37,1,1,48,61,1373
14;C;0,14;25809/78125;2,33,0,0,0,61,2879;2,33,0,0,0,63,2631
15;C;0,1;37572113/100000000;2,37,0,0,61,48,1375;2,37,1,1,61,48,1373
16;C;0,14;25809/78125;2,33,0,0,0,61,2879;2,33,0,0,0,63,2631
17;C;1,14;25809/78125;2,33,61,1,1,48,573;2,33,63,0,0,0,2631
18;C;0,18;6719739/25000000;2,26,0,0,0,36,3904;2,26,0,0,0,38,3756
19;C;0,18;6719739/25000000;2,26,0,0,0,49,2799;2,26,0,0,0,38,3756
20;C;14,18;6719739/25000000;2,26,0,0,0,63,1231;2,26,0,0,0,38,3756
21;C;0,18;6719739/25000000;2,26,0,0,33,61,390;4,2687,0,0,3417,6312,2222767
22;C;0,18;6719739/25000000;2,26,0,0,61,37,110;4,2687,0,0,6312,3417,2222767
23;L;12,13;19221189/50000000,36024897/100000000;10,3844237800,6200191739,0,0,6200191739,799272311758;8,36024897,62170000,0,0,57791612,82441456
23;L;13,14;36024897/100000000,25809/78125;8,36024897,62170000,0,0,57791612,82441456;10,3303552000,6239750818,0,0,5209275253,1067750116867
23;L;14,15;25809/78125,16378827/50000000;10,3303552000,6239750818,0,0,5209275253,1067750116867;10,3275765400,6242000000,0,0,5152935427,485168327671
23;L;15,16;16378827/50000000,5976639/20000000;10,3275765400,6242000000,0,0,5152935427,485168327671;10,2988319500,6267000000,0,0,4526709726,56537004924
23;L;16,17;5976639/20000000,342519/1250000;10,2988319500,6267000000,0,0,4526709726,56537004924;10,2740152000,6292000000,0,0,3900484026,362918831324
23;L;17,18;342519/1250000,6719739/25000000;10,2740152000,6292000000,0,0,3900484026,362918831324;4,2687,6312,0,0,3417,2222767
24;C;0,1;37572113/100000000;4,3757,0,0,6017,6017,2731422;4,3757,0,0,6027,6027,2490542
25;C;0,2;18602187/50000000;4,3720,0,0,6017,6017,1991422;4,3720,0,0,6038,6038,1485112
26;C;0,1;37572113/100000000;4,3757,0,0,6017,6017,2731422;4,3757,0,0,6027,6027,2490542
27;C;0,2;18602187/50000000;4,3720,0,0,6017,6017,1991422;4,3720,0,0,6038,6038,1485112
28;C;1,2;18602187/50000000;4,3720,6027,6027,0,0,1750542;4,3720,6038,6038,0,0,1485112
29;C;0,1;37572113/100000000;2,37,0,0,33,61,2590;2,37,0,0,33,61,2590
30;C;0,27;188301/800000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
31;C;0,1;37572113/100000000;2,37,0,0,61,33,2590;2,37,0,0,61,33,2590
32;C;0,27;188301/800000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
33;C;1,27;188301/800000;4,2353,6027,0,0,3214,405475;2,23,65,0,0,0,375
34;C;0,45;8338213/100000000;2,8,0,0,0,27,871;2,8,0,0,0,30,700
35;C;0,45;8338213/100000000;2,8,0,0,0,39,79;2,8,0,0,0,30,700
36;C;27,29;2210847/10000000;2,22,0,0,0,65,175;2,22,0,0,0,63,431
36;C;29,31;4998063/25000000;4,1999,0,0,0,6253,879991;2,19,0,0,0,59,319
36;C;31,33;18428789/100000000;2,18,0,0,0,59,119;2,18,0,0,0,56,464
36;C;33,34;270351/1562500;2,17,0,0,0,56,264;2,17,0,0,0,54,484
36;C;34,36;7600083/50000000;2,15,0,0,0,54,84;2,15,0,0,0,50,500
36;C;36,38;6649169/50000000;2,13,0,0,0,50,100;2,13,0,0,0,45,575
36;C;38,40;11596981/100000000;2,11,0,0,0,45,175;2,11,0,0,0,41,519
36;C;40,45;8338213/100000000;4,833,0,0,0,4042,322236;2,8,0,0,0,30,700
37;C;0,1;37572113/100000000;2,37,0,0,3,61,3670;2,37,0,0,3,61,3670
38;C;0,20;13367779/50000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
39;C;0,1;37572113/100000000;2,37,0,0,61,4,3663;2,37,0,0,61,3,3670
40;C;0,20;13367779/50000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
41;C;1,20;13367779/50000000;2,26,61,0,0,3,1470;2,26,64,0,0,0,1104
42;C;0,45;8338213/100000000;2,8,0,0,0,5,1575;2,8,0,0,0,6,1564
43;C;0,45;8338213/100000000;2,8,0,0,0,40,0;2,8,0,0,0,6,1564
44;C;20,26;23840087/100000000;2,23,0,0,0,64,504;2,23,0,0,0,48,2296
44;C;26,32;1225327/6250000;2,19,0,0,0,48,1496;2,19,0,0,0,38,2356
44;C;32,45;8338213/100000000;2,8,0,0,0,38,156;2,8,0,0,0,6,1564
45;C;0,27;188301/800000;2,23,0,0,21,61,438;10,2353762500,0,0,2225696602,6490109707,626950027747
46;C;0,27;188301/800000;2,23,0,0,19,61,518;10,2353762500,0,0,2225696602,6490109707,626950027747
47;C;2,8;4601803/12500000;4,3681,6038,0,0,6038,705112;2,36,62,0,0,54,440
47;C;8,11;37417689/100000000;2,37,62,0,0,54,640;2,37,62,0,0,48,1252
47;C;11,14;25809/78125;2,33,62,0,0,48,452;2,33,63,0,0,44,695
47;C;14,15;16378827/50000000;2,32,63,0,0,44,495;2,32,63,0,0,44,495
47;C;15,16;5976639/20000000;4,2988,6242,0,0,4316,2169580;2,29,63,0,0,42,67
47;L;16,17;5976639/20000000,342519/1250000;2,29,63,0,0,42,67;4,2740,6292,0,0,3895,39711
47;L;17,18;342519/1250000,6719739/25000000;4,2740,6292,0,0,3895,39711;8,26878956,63113183,0,0,37316448,40271807
47;L;18,19;6719739/25000000,2673739/10000000;8,26878956,63113183,0,0,37316448,40271807;8,26737390,63170000,0,0,36837875,65484375
47;L;19,20;2673739/10000000,13367779/50000000;8,26737390,63170000,0,0,36837875,65484375;8,26735558,63170742,0,0,36831628,134039052
47;L;20,21;13367779/50000000,26142091/100000000;8,26735558,63170742,0,0,36831628,134039052;8,26142091,63420000,0,0,34732143,42627551
47;L;21,22;26142091/100000000,12795879/50000000;8,26142091,63420000,0,0,34732143,42627551;8,25591758,63670000,0,0,32626410,70511900
47;L;22,23;12795879/50000000,25086391/100000000;8,25591758,63670000,0,0,32626410,70511900;8,25086391,63920000,0,0,30520678,14420316
47;L;23,24;25086391/100000000,24625991/100000000;8,25086391,63920000,0,0,30520678,14420316;8,24625991,64170000,0,0,28414946,143817084
47;L;24,25;24625991/100000000,6052639/25000000;8,24625991,64170000,0,0,28414946,143817084;8,24210556,64420000,0,0,26309213,111320631
47;L;25,26;6052639/25000000,23840087/100000000;8,24210556,64420000,0,0,26309213,111320631;8,23840087,64670000,0,0,24203481,7482639
47;L;26,27;23840087/100000000,188301/800000;8,23840087,64670000,0,0,24203481,7482639;10,2353762500,6490109707,0,0,2225696602,626950027747
48;C;0,45;8338213/100000000;2,8,0,0,25,27,246;10,833821300,0,0,2788367681,2983526684,201414646383
49;C;0,22;12795879/50000000;2,25,0,0,20,39,3079;2,25,0,0,23,35,3246
49;C;22,33;18428789/100000000;2,18,0,0,23,35,1846;2,18,0,0,25,33,1886
49;C;33,39;12422601/100000000;2,12,0,0,25,33,686;2,12,0,0,27,32,647
49;C;39,42;10096093/100000000;2,10,0,0,27,32,247;2,10,0,0,28,31,255
49;C;42,43;4710413/50000000;2,9,0,0,28,31,55;2,9,0,0,28,31,55
49;C;43,44;2198919/25000000;4,879,0,0,2744,3027,887735;4,879,0,0,2769,3003,894630
49;L;44,45;2198919/25000000,8338213/100000000;4,879,0,0,2769,3003,894630;10,833821300,0,0,2788367681,2983526684,201414646383
50;L;27,28;188301/800000,11717633/50000000;10,2353762500,2225696602,0,0,6490109707,626950027747;8,23435266,22283785,0,0,64733964,30920479
50;L;28,29;11717633/50000000,2210847/10000000;8,23435266,22283785,0,0,64733964,30920479;10,2210847000,2263847139,0,0,6252354420,337947978279
50;L;29,30;2210847/10000000,1301987/6250000;10,2210847000,2263847139,0,0,6252354420,337947978279;10,2083179200,2299315827,0,0,6031312492,351552056007
50;L;30,31;1301987/6250000,4998063/25000000;10,2083179200,2299315827,0,0,6031312492,351552056007;8,19992252,23234354,0,0,58809992,35162620
50;L;31,32;4998063/25000000,1225327/6250000;8,19992252,23234354,0,0,58809992,35162620;8,19605232,23347846,0,0,58102706,42637848
50;L;32,33;1225327/6250000,18428789/100000000;8,19605232,23347846,0,0,58102706,42637848;10,1842878900,2370253203,0,0,5589228638,985828905747
50;L;33,34;18428789/100000000,270351/1562500;10,1842878900,2370253203,0,0,5589228638,985828905747;8,17302464,24057219,0,0,53681868,62016615
50;L;34,35;270351/1562500,1014141/6250000;8,17302464,24057219,0,0,53681868,62016615;8,16226256,24411906,0,0,51471448,86230460
50;L;35,36;1014141/6250000,7600083/50000000;8,16226256,24411906,0,0,51471448,86230460;8,15200166,24766593,0,0,49261029,93033510
50;L;36,37;7600083/50000000,14224193/100000000;8,15200166,24766593,0,0,49261029,93033510;10,1422419300,2512127956,0,0,4705060928,796491040880
50;L;37,38;14224193/100000000,6649169/50000000;10,1422419300,2512127956,0,0,4705060928,796491040880;10,1329833800,2547596644,0,0,4484019001,938150899263
50;L;38,39;6649169/50000000,12422601/100000000;10,1329833800,2547596644,0,0,4484019001,938150899263;8,12422601,25830654,0,0,42629771,138419843
50;L;39,40;12422601/100000000,11596981/100000000;8,12422601,25830654,0,0,42629771,138419843;8,11596981,26185341,0,0,40419352,100613815
50;L;40,41;11596981/100000000,5410739/50000000;8,11596981,26185341,0,0,40419352,100613815;10,1082147800,2654002708,0,0,3820893219,634928484775
50;L;41,42;5410739/50000000,10096093/100000000;10,1082147800,2654002708,0,0,3820893219,634928484775;8,10096093,26894714,0,0,35998513,20647035
50;L;42,43;10096093/100000000,4710413/50000000;8,10096093,26894714,0,0,35998513,20647035;8,9420826,27249401,0,0,33788094,48988363
50;L;43,44;4710413/50000000,2198919/25000000;8,9420826,27249401,0,0,33788094,48988363;10,879567600,2760408773,0,0,3157767437,219767085502
50;L;44,45;2198919/25000000,8338213/100000000;10,879567600,2760408773,0,0,3157767437,219767085502;10,833821300,2788367681,0,0,2983526684,201414646383
51;C;0,1;37572113/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
52;C;0,3;18578183/50000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
53;C;0,1;37572113/100000000;2,37,0,0,61,0,3679;2,37,0,0,61,0,3679
54;C;0,3;18578183/50000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
55;C;1,3;18578183/50000000;2,37,61,0,0,0,3679;2,37,61,0,0,0,3679
56;C;0,31;4998063/25000000;2,19,0,0,0,21,3359;2,19,0,0,0,22,3316
57;C;0,31;4998063/25000000;2,19,0,0,0,28,3016;2,19,0,0,0,22,3316
58;C;3,31;4998063/25000000;2,19,0,0,0,61,79;2,19,0,0,0,22,3316
59;C;0,1;37572113/100000000;2,37,0,0,0,48,5096;2,37,0,0,0,48,5096
60;C;0,31;4998063/25000000;2,19,0,0,0,4,3784;2,19,0,0,0,5,3775
61;C;0,1;37572113/100000000;2,37,0,0,0,49,4999;2,37,0,0,0,48,5096
62;C;0,31;4998063/25000000;2,19,0,0,0,26,3124;2,19,0,0,0,5,3775
63;C;1,31;4998063/25000000;2,19,0,0,0,48,1496;2,19,0,0,0,5,3775
64;C;0,1;37572113/100000000;2,37,0,0,17,61,3390;2,37,0,0,17,61,3390
65;C;0,3;18578183/50000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
66;C;0,1;37572113/100000000;2,37,0,0,61,17,3390;2,37,0,0,61,17,3390
67;C;0,3;18578183/50000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
68;C;1,3;18578183/50000000;2,37,61,0,0,17,3390;2,37,61,0,0,16,3423
69;C;0,31;4998063/25000000;2,19,0,0,19,21,2998;2,19,0,0,21,22,2875
70;C;0,31;4998063/25000000;2,19,0,0,16,28,2760;2,19,0,0,21,22,2875
71;C;3,31;4998063/25000000;4,1999,1560,0,0,6039,1076879;2,19,21,0,0,22,2875
MASS SLACK NUMERATOR 187826168166865669455989658667773273774415153092199886965499385631316364405341815249765540264907648063530232349959365937
BIN 34: PATH2; (37/28,445/336]; gamma0=301/500; mass ceiling=4983993/5000000.
GAMMA 0=301/500;1=100049906250/165930644567;2=99375412500/164581657067;3=199200487500/329849499109;4=1209/2000;5=607/1000;6=691580925000/1138862999311;7=1219/2000;8=153/250;9=1229/2000;10=617/1000;11=1239/2000;12=246415050000/397213909793;13=311/500;14=227829000000/365004285143;15=1249/2000;16=627/1000;17=1259/2000;18=82138350000/130107532067;19=49687706250/78652951967;20=79/125;21=1269/2000;22=637/1000;23=1279/2000;24=321/500;25=1289/2000;26=647/1000;27=74419143750/114669119567;28=1299/2000;29=163/250;30=1309/2000;31=40582040625/61841527021;32=657/1000;33=1319/2000;34=331/500;35=1329/2000;36=667/1000;37=1339/2000;38=84/125;39=1349/2000;40=677/1000;41=1359/2000;42=341/500;43=1369/2000;44=687/1000;45=62278256250/90387344567;46=1379/2000;47=173/250;48=1389/2000;49=697/1000;50=1399/2000;51=351/500;52=1409/2000;53=707/1000;54=1419/2000;55=89/125;56=1429/2000;57=717/1000;58=1439/2000;59=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37560337,37676650;1,2,37676650,37311953;2,3,37311953,37272909;3,4,37272909,37088086;4,5,37088086,36850125;5,6,36850125,36875953;6,7,36875953,37149025;7,8,37149025,37454400;8,9,37454400,37761025;9,10,37761025,38068900;10,11,38068900,38378025;11,12,38378025,38484475;12,13,38484475,36124600;13,14,36124600,33249125;14,15,33249125,32854539;15,16,32854539,29975838;16,17,29975838,27488498;17,18,27488498,26812581;18,19,26812581,26707304;19,20,26707304,26641533;20,21,26641533,26049597;21,22,26049597,25503032;22,23,25503032,25001839;23,24,25001839,24546016;24,25,24546016,24135565;25,26,24135565,23770485;26,27,23770485,23512279;27,28,23512279,23235420;28,29,23235420,21908011;29,30,21908011,20631248;30,31,20631248,19779144;31,32,19779144,19405129;32,33,19405129,18229655;33,34,18229655,17104826;34,35,17104826,16030641;35,36,16030641,15007102;36,37,15007102,14034207;37,38,14034207,13111957;38,39,13111957,12240352;39,40,12240352,11419392;40,41,11419392,10649077;41,42,10649077,9929406;42,43,9929406,9260381;43,44,9260381,8642000;44,45,8642000,8180396;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;144111221417/37771650000,1/3,165930644567/75543300000;-5336367716381
2;0,3,6;121/336,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;121/336,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;383/168,5/3,221/336;-59
10;0,6;1/3,1;-1
11;2,3,7;219/112,4/3,221/336;-1
14;0,6;1/3,1;-1
15;2,3,10;219/112,4/3,221/336;-1
18;1,4,8;122291798267/25181100000,1,165930644567/75543300000;-4437042716381
20;0,3,8;57/56,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;56833528817/12590550000,5,165930644567/75543300000;-390080216381
26;0,8;1/3,1;-1
27;2,3,10;219/112,4/3,221/336;-1
29;1,3,9;59/168,3,445/336;-59
30;1,4,11;122291798267/25181100000,1,165930644567/75543300000;-4437042716381
32;0,3,11;57/56,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;56833528817/12590550000,5,165930644567/75543300000;-390080216381
38;0,11;1/3,1;-1
39;2,3,7;219/112,4/3,221/336;-1
41;1,3,12;59/168,3,445/336;-59
42;1,4,14;144111221417/37771650000,1/3,165930644567/75543300000;-5336367716381
43;0,3,14;121/336,3,1;-2
45;0,3,14;121/336,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;219/112,4/3,221/336;-1
56;2,3,7;219/112,4/3,221/336;-1
58;2,3,10;219/112,4/3,221/336;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;121/336,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
66;0,3,6;121/336,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;551/168,5/3,277/336;-1
70;0,6;1/3,1;-1
72;1,4,6;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
80;0,3,8;57/56,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;65206244567/12590550000,4,165930644567/75543300000;-1739067716381
84;1,4,8;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
86;0,8;1/3,1;-1
89;1,3,9;59/168,3,445/336;-59
90;1,11;3,1;-2
91;1,4,11;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
92;0,3,11;57/56,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;65206244567/12590550000,4,165930644567/75543300000;-1739067716381
96;1,4,11;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
98;0,11;1/3,1;-1
101;1,3,12;59/168,3,445/336;-59
102;0,1,14;2/3,2,1;-1
103;0,3,14;121/336,3,1;-2
104;1,4,14;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
105;0,3,14;121/336,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;65206244567/15108660000,10/3,165930644567/75543300000;-1139517716381
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;551/168,5/3,277/336;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;23879498423/4721456250,5/3,165930644567/75543300000;-2638392716381
122;0,3,6;121/336,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
126;0,3,6;121/336,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;719/168,13/6,361/336;-1
130;0,6;1/3,1;-1
132;1,4,6;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
134;0,6;1/3,1;-1
136;1,4,6;64293215809/18885825000,19/3,165930644567/75543300000;-300147716381
138;0,1,8;1,3,1;-2
139;1,4,8;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
140;0,3,8;57/56,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;81435463517/12590550000,3,165930644567/75543300000;-3088055216381
143;1,4,8;64293215809/18885825000,19/3,165930644567/75543300000;-300147716381
144;1,4,8;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
146;0,8;1/3,1;-1
148;1,4,8;64293215809/18885825000,19/3,165930644567/75543300000;-300147716381
149;1,3,9;59/168,3,445/336;-59
150;0,1,11;1,3,1;-2
151;1,4,11;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
152;0,3,11;57/56,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;81435463517/12590550000,3,165930644567/75543300000;-3088055216381
155;1,4,11;64293215809/18885825000,19/3,165930644567/75543300000;-300147716381
156;1,4,11;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
158;0,11;1/3,1;-1
160;1,4,11;64293215809/18885825000,19/3,165930644567/75543300000;-300147716381
161;1,3,12;59/168,3,445/336;-59
162;0,1,14;5/3,2,1;-1
163;0,3,14;121/336,3,1;-2
164;1,4,14;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
165;0,3,14;121/336,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;87068475587/15108660000,7/3,165930644567/75543300000;-2938167716381
169;0,14;1/3,1;-1
170;1,4,14;64293215809/18885825000,19/3,165930644567/75543300000;-300147716381
171;1,4,14;23879498423/4721456250,5/3,165930644567/75543300000;-2638392716381
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;719/168,13/6,361/336;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;3831797295984,52078744285903800675000,10938414456921,28728
4;1,4,6,3;3831797295984,29875816704669121620000,35912396488668,40656
5;5,4,2,3;35912396488668,71770377568279714380000,56127099980784,109872
12;1,4,6,3;3831797295984,29875816704669121620000,35912396488668,40656
13;5,4,2,3;35912396488668,71770377568279714380000,56127099980784,109872
16;1,4,6,3;3831797295984,175471248588894003375000,36433891547613,966
17;5,4,2,3;36433891547613,13645663388916071625000,56127099980784,4074
19;1,4,8,3;3831797295984,29875816704669121620000,35912396488668,40656
23;7,4,8,3;35912396488668,44842232339117775135000,36433891547613,33054
24;1,4,8,3;3831797295984,29875816704669121620000,35912396488668,40656
25;7,4,2,3;10938414456921,12919829418658214325000,56127099980784,8904
28;7,4,8,3;35912396488668,44842232339117775135000,36433891547613,33054
31;1,4,11,3;3831797295984,29875816704669121620000,35912396488668,40656
35;10,4,11,3;35912396488668,44842232339117775135000,36433891547613,33054
36;1,4,11,3;3831797295984,29875816704669121620000,35912396488668,40656
37;10,4,2,3;10938414456921,12919829418658214325000,56127099980784,8904
40;10,4,11,3;35912396488668,44842232339117775135000,36433891547613,33054
44;1,4,14,3;3831797295984,29875816704669121620000,35912396488668,40656
48;1,4,14,3;3831797295984,29875816704669121620000,35912396488668,40656
50;1,4,14,3;3831797295984,175471248588894003375000,36433891547613,966
51;1,4,14,3;3831797295984,52078744285903800675000,10938414456921,28728
53;13,4,2,3;35912396488668,71770377568279714380000,56127099980784,109872
57;13,4,2,3;35912396488668,71770377568279714380000,56127099980784,109872
59;13,4,2,3;36433891547613,13645663388916071625000,56127099980784,4074
61;1,4,6,3;3831797295984,2250521163057601350000,891764836998,504
65;1,4,9,3;3831797295984,83325990857446081080000,129320010495984,38304
71;7,4,2,3;129320010495984,22331152951945918920000,188761795695984,18144
73;1,4,12,3;3831797295984,83325990857446081080000,129320010495984,38304
75;10,4,2,3;129320010495984,22331152951945918920000,188761795695984,18144
76;1,4,6,3;3831797295984,36782140590072001687500,17161270630497,10038
77;5,4,2,3;17161270630497,13661808277259248312500,188761795695984,11130
83;1,4,8,3;3831797295984,36782140590072001687500,17161270630497,10038
85;7,4,12,3;891764836998,31997074190334479730000,129320010495984,18648
87;10,4,2,3;129320010495984,22331152951945918920000,188761795695984,18144
88;1,4,8,3;3831797295984,36782140590072001687500,17161270630497,10038
95;1,4,11,3;3831797295984,36782140590072001687500,17161270630497,10038
97;10,4,9,3;891764836998,31997074190334479730000,129320010495984,18648
99;7,4,2,3;129320010495984,22331152951945918920000,188761795695984,18144
100;1,4,11,3;3831797295984,36782140590072001687500,17161270630497,10038
110;1,4,14,3;3831797295984,36782140590072001687500,17161270630497,10038
111;1,4,14,3;3831797295984,2250521163057601350000,891764836998,504
113;1,4,9,3;3831797295984,83325990857446081080000,129320010495984,38304
116;7,4,2,3;129320010495984,22331152951945918920000,188761795695984,18144
117;1,4,12,3;3831797295984,83325990857446081080000,129320010495984,38304
118;10,4,2,3;129320010495984,22331152951945918920000,188761795695984,18144
119;13,4,2,3;17161270630497,13661808277259248312500,188761795695984,11130
125;1,4,9,3;3831797295984,1800416930446081080000,7573068436584,672
131;7,4,2,3;7573068436584,22606182553509759960000,80482592600592,27552
133;1,4,12,3;3831797295984,1800416930446081080000,7573068436584,672
135;10,4,2,3;7573068436584,22606182553509759960000,80482592600592,27552
137;1,4,2,3;3831797295984,50953483704375000000000,80482592600592,28224
145;1,4,12,3;3831797295984,1800416930446081080000,7573068436584,672
147;10,4,2,3;7573068436584,22606182553509759960000,80482592600592,27552
157;1,4,9,3;3831797295984,1800416930446081080000,7573068436584,672
159;7,4,2,3;7573068436584,22606182553509759960000,80482592600592,27552
173;1,4,9,3;3831797295984,1800416930446081080000,7573068436584,672
176;7,4,2,3;7573068436584,22606182553509759960000,80482592600592,27552
177;1,4,12,3;3831797295984,1800416930446081080000,7573068436584,672
178;10,4,2,3;7573068436584,22606182553509759960000,80482592600592,27552
179;1,4,2,3;3831797295984,50953483704375000000000,80482592600592,28224
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/19;E/4,5/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/19;E/4,5/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
16:V/3,1/13/0/1;V/6,3/14/0/14;E/4,1/15/0/1;E/4,6/16/0/14;E/4,3/17/1/14
17:V/3,5/14/0/14;V/2,3/18/0/19;E/4,5/16/0/14;E/4,2/19/0/19;E/4,3/20/14/19
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/12;V/2,3/21/0/19;E/4,7/3/0/12;E/4,2/22/0/19;E/4,3/23/12/19
28:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/12;V/2,3/21/0/19;E/4,10/3/0/12;E/4,2/22/0/19;E/4,3/23/12/19
40:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/14;E/4,1/15/0/1;E/4,14/16/0/14;E/4,3/17/1/14
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/6;V/2,3/10/0/19;E/4,13/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
57:V/3,13/6/0/6;V/2,3/10/0/19;E/4,13/8/0/6;E/4,2/11/0/19;E/4,3/12/6/19
59:V/3,13/14/0/14;V/2,3/18/0/19;E/4,13/16/0/14;E/4,2/19/0/19;E/4,3/20/14/19
61:V/3,1/24/0/1;V/6,3/25/0/2;E/4,1/26/0/1;E/4,6/27/0/2;E/4,3/28/1/2
65:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
71:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
73:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
75:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
76:V/3,1/37/0/1;V/6,3/38/0/18;E/4,1/39/0/1;E/4,6/40/0/18;E/4,3/41/1/18
77:V/3,5/38/0/18;V/2,3/42/0/45;E/4,5/40/0/18;E/4,2/43/0/45;E/4,3/44/18/45
83:V/3,1/29/0/1;V/8,3/38/0/18;E/4,1/31/0/1;E/4,8/40/0/18;E/4,3/33/1/18
85:V/3,7/25/0/2;V/12,3/45/0/27;E/4,7/27/0/2;E/4,12/46/0/27;E/4,3/47/2/27
87:V/3,10/45/0/27;V/2,3/48/0/45;E/4,10/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
88:V/3,1/29/0/1;V/8,3/38/0/18;E/4,1/31/0/1;E/4,8/40/0/18;E/4,3/33/1/18
95:V/3,1/29/0/1;V/11,3/38/0/18;E/4,1/31/0/1;E/4,11/40/0/18;E/4,3/33/1/18
97:V/3,10/25/0/2;V/9,3/45/0/27;E/4,10/27/0/2;E/4,9/46/0/27;E/4,3/47/2/27
99:V/3,7/45/0/27;V/2,3/48/0/45;E/4,7/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
100:V/3,1/29/0/1;V/11,3/38/0/18;E/4,1/31/0/1;E/4,11/40/0/18;E/4,3/33/1/18
110:V/3,1/37/0/1;V/14,3/38/0/18;E/4,1/39/0/1;E/4,14/40/0/18;E/4,3/41/1/18
111:V/3,1/24/0/1;V/14,3/25/0/2;E/4,1/26/0/1;E/4,14/27/0/2;E/4,3/28/1/2
113:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
116:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
117:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
118:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
119:V/3,13/38/0/18;V/2,3/42/0/45;E/4,13/40/0/18;E/4,2/43/0/45;E/4,3/44/18/45
125:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
131:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
133:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
135:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/3;E/4,1/66/0/1;E/4,12/67/0/3;E/4,3/68/1/3
147:V/3,10/65/0/3;V/2,3/69/0/31;E/4,10/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
157:V/3,1/64/0/1;V/9,3/65/0/3;E/4,1/66/0/1;E/4,9/67/0/3;E/4,3/68/1/3
159:V/3,7/65/0/3;V/2,3/69/0/31;E/4,7/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
173:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
176:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
177:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
178:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37560337/100000000,753533/2000000;4,3756,0,1623,6020,6020,5071;10,3767665000,0,1624997643,6029621986,6029621986,72135276159
1;C;0,3;37272909/100000000;4,3727,0,0,6020,6020,2059200;4,3727,0,0,6040,6040,1576800
1;C;3,4;18544043/50000000;4,3708,0,0,6040,6040,1196800;4,3708,0,0,6045,6045,1075950
1;C;4,5;294801/800000;4,3685,0,0,6045,6045,615950;4,3685,0,0,6070,6070,10200
1;L;5,6;294801/800000,36875953/100000000;4,3685,0,0,6070,6070,10200;8,36875953,0,0,60725560,60725560,3325372800
1;L;6,7;36875953/100000000,1485961/4000000;8,36875953,0,0,60725560,60725560,3325372800;8,37149025,0,0,60950000,60950000,0
1;L;7,8;1485961/4000000,23409/62500;8,37149025,0,0,60950000,60950000,0;6,374544,0,0,612000,612000,0
1;L;8,9;23409/62500,1510441/4000000;6,374544,0,0,612000,612000,0;8,37761025,0,0,61450000,61450000,0
1;L;9,10;1510441/4000000,380689/1000000;8,37761025,0,0,61450000,61450000,0;6,380689,0,0,617000,617000,0
1;L;10,11;380689/1000000,1535121/4000000;6,380689,0,0,617000,617000,0;8,38378025,0,0,61950000,61950000,0
1;L;11,12;1535121/4000000,1539379/4000000;8,38378025,0,0,61950000,61950000,0;10,3848447500,0,0,6203585623,6203585623,836215403742
2;L;0,1;37560337/100000000,753533/2000000;8,37560337,0,60200000,60200000,16247686,99645404;10,3767665000,0,6029621986,6029621986,1624997643,72135276159
3;C;0,3;37272909/100000000;4,3727,0,0,6020,6020,2059200;4,3727,0,0,6040,6040,1576800
3;C;3,4;18544043/50000000;4,3708,0,0,6040,6040,1196800;4,3708,0,0,6045,6045,1075950
3;C;4,5;294801/800000;4,3685,0,0,6045,6045,615950;4,3685,0,0,6070,6070,10200
3;L;5,6;294801/800000,36875953/100000000;4,3685,0,0,6070,6070,10200;8,36875953,0,0,60725560,60725560,3325372800
3;L;6,7;36875953/100000000,1485961/4000000;8,36875953,0,0,60725560,60725560,3325372800;8,37149025,0,0,60950000,60950000,0
3;L;7,8;1485961/4000000,23409/62500;8,37149025,0,0,60950000,60950000,0;6,374544,0,0,612000,612000,0
3;L;8,9;23409/62500,1510441/4000000;6,374544,0,0,612000,612000,0;8,37761025,0,0,61450000,61450000,0
3;L;9,10;1510441/4000000,380689/1000000;8,37761025,0,0,61450000,61450000,0;6,380689,0,0,617000,617000,0
3;L;10,11;380689/1000000,1535121/4000000;6,380689,0,0,617000,617000,0;8,38378025,0,0,61950000,61950000,0
3;L;11,12;1535121/4000000,1539379/4000000;8,38378025,0,0,61950000,61950000,0;10,3848447500,0,0,6203585623,6203585623,836215403742
4;L;1,2;753533/2000000,37311953/100000000;10,3767665000,6029621986,6029621986,0,1624997643,72135276159;8,37311953,60380613,60380613,0,13067276,45428286
4;L;2,3;37311953/100000000,37272909/100000000;8,37311953,60380613,60380613,0,13067276,45428286;10,3727290900,6039132636,6039132636,0,1266322119,300530732847
4;L;3,4;37272909/100000000,18544043/50000000;10,3727290900,6039132636,6039132636,0,1266322119,300530732847;8,37088086,60450000,60450000,0,10450460,85788400
4;L;4,5;18544043/50000000,294801/800000;8,37088086,60450000,60450000,0,10450460,85788400;8,36850125,60700000,60700000,0,1022201,105115599
4;L;5,6;294801/800000,36875953/100000000;8,36850125,60700000,60700000,0,1022201,105115599;10,3687595300,6072555922,6072555922,0,5828511,1176824982711
4;L;6,7;36875953/100000000,1485961/4000000;10,3687595300,6072555922,6072555922,0,5828511,1176824982711;8,37149025,60950000,60950000,0,0,0
4;L;7,8;1485961/4000000,23409/62500;8,37149025,60950000,60950000,0,0,0;6,374544,612000,612000,0,0,0
4;L;8,9;23409/62500,1510441/4000000;6,374544,612000,612000,0,0,0;8,37761025,61450000,61450000,0,0,0
4;L;9,10;1510441/4000000,380689/1000000;8,37761025,61450000,61450000,0,0,0;6,380689,617000,617000,0,0,0
4;L;10,11;380689/1000000,1535121/4000000;6,380689,617000,617000,0,0,0;8,38378025,61950000,61950000,0,0,0
4;L;11,12;1535121/4000000,1539379/4000000;8,38378025,61950000,61950000,0,0,0;10,3848447500,6203585623,6203585623,0,0,836215403742
5;C;0,1;37560337/100000000;4,3756,0,25,6020,6020,2638575;4,3756,0,25,6030,6030,2397575
6;C;0,3;37272909/100000000;4,3727,0,6,6020,6020,2059164;4,3727,0,6,6040,6040,1576764
6;C;3,4;18544043/50000000;4,3708,0,6,6040,6040,1196764;4,3708,0,6,6045,6045,1075914
6;C;4,5;294801/800000;4,3685,0,6,6045,6045,615914;4,3685,0,6,6070,6070,10164
6;L;5,6;294801/800000,36875953/100000000;4,3685,0,6,6070,6070,10164;10,3687595300,0,5828511,6072555922,6072555922,1176824982711
7;C;0,1;37560337/100000000;4,3756,0,6020,6020,0,2639200;4,3756,25,6030,6030,0,2397575
8;C;0,3;37272909/100000000;4,3727,0,0,6020,6020,2059200;4,3727,0,0,6040,6040,1576800
8;C;3,4;18544043/50000000;4,3708,0,0,6040,6040,1196800;4,3708,0,0,6045,6045,1075950
8;C;4,5;294801/800000;4,3685,0,0,6045,6045,615950;4,3685,0,0,6070,6070,10200
8;L;5,6;294801/800000,36875953/100000000;4,3685,0,0,6070,6070,10200;10,3687595300,0,5828511,6072555922,6072555922,1176824982711
9;C;1,3;37272909/100000000;4,3727,6030,6030,25,0,1817575;4,3727,6040,6040,21,0,1576359
9;C;3,4;18544043/50000000;4,3708,6040,6040,21,0,1196359;4,3708,6045,6045,18,0,1075626
9;C;4,5;294801/800000;4,3685,6045,6045,18,0,615626;4,3685,6070,6070,7,0,10151
9;L;5,6;294801/800000,36875953/100000000;4,3685,6070,6070,7,0,10151;10,3687595300,6072555922,6072555922,5828511,0,1176824982711
10;C;0,19;3338413/12500000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
11;C;0,19;3338413/12500000;2,26,0,0,61,0,1479;2,26,0,0,64,0,1104
12;C;6,12;36875953/100000000;10,3687595300,6072555922,5828511,0,6072555922,1176824982711;2,36,63,0,0,14,3035
12;C;12,19;3338413/12500000;2,26,63,0,0,14,1035;2,26,64,0,0,0,1104
13;C;0,1;37560337/100000000;2,37,1,1,47,61,1468;2,37,1,1,48,61,1373
14;C;0,14;265993/800000;2,33,0,0,0,61,2879;2,33,0,0,0,63,2631
15;C;0,1;37560337/100000000;2,37,0,0,61,48,1375;2,37,1,1,61,48,1373
16;C;0,14;265993/800000;2,33,0,0,0,61,2879;2,33,0,0,0,63,2631
17;C;1,14;265993/800000;2,33,61,1,1,48,573;2,33,63,0,0,0,2631
18;C;0,19;3338413/12500000;2,26,0,0,0,35,3975;2,26,0,0,0,37,3831
19;C;0,19;3338413/12500000;2,26,0,0,0,48,2896;2,26,0,0,0,37,3831
20;C;14,19;3338413/12500000;2,26,0,0,0,63,1231;2,26,0,0,0,37,3831
21;C;0,19;3338413/12500000;2,26,0,0,33,61,390;4,2670,0,0,3360,6318,2193276
22;C;0,19;3338413/12500000;2,26,0,0,61,37,110;4,2670,0,0,6318,3360,2193276
23;L;12,13;1539379/4000000,180623/500000;10,3848447500,6203585623,0,0,6203585623,836215403742;8,36124600,62200000,0,0,57931683,104787511
23;L;13,14;180623/500000,265993/800000;8,36124600,62200000,0,0,57931683,104787511;8,33249125,62418172,0,0,52476631,3068255
23;L;14,15;265993/800000,32854539/100000000;8,33249125,62418172,0,0,52476631,3068255;8,32854539,62450000,0,0,51680802,4636796
23;L;15,16;32854539/100000000,14987919/50000000;8,32854539,62450000,0,0,51680802,4636796;10,2997583800,6270000000,0,0,4542991916,451158648944
23;L;16,17;14987919/50000000,13744249/50000000;10,2997583800,6270000000,0,0,4542991916,451158648944;8,27488498,62950000,0,0,39179038,81394556
23;L;17,18;13744249/50000000,26812581/100000000;8,27488498,62950000,0,0,39179038,81394556;4,2681,6314,0,0,3466,1740248
23;C;18,19;3338413/12500000;4,2670,6314,0,0,3466,1520248;4,2670,6318,0,0,3360,2193276
24;C;0,1;37560337/100000000;4,3756,0,0,6020,6020,2639200;4,3756,0,0,6030,6030,2398200
25;C;0,2;37311953/100000000;4,3731,0,0,6020,6020,2139200;4,3731,0,0,6039,6039,1680958
26;C;0,1;37560337/100000000;4,3756,0,0,6020,6020,2639200;4,3756,0,0,6030,6030,2398200
27;C;0,2;37311953/100000000;4,3731,0,0,6020,6020,2139200;4,3731,0,0,6039,6039,1680958
28;C;1,2;37311953/100000000;4,3731,6030,6030,0,0,1898200;4,3731,6039,6039,0,0,1680958
29;C;0,1;37560337/100000000;2,37,0,0,32,61,2655;2,37,0,0,32,61,2655
30;C;0,27;23512279/100000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
31;C;0,1;37560337/100000000;2,37,0,0,61,32,2655;2,37,0,0,61,32,2655
32;C;0,27;23512279/100000000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
33;C;1,27;23512279/100000000;4,2351,6030,0,0,3169,616539;2,23,65,0,0,0,375
34;C;0,45;2045099/25000000;2,8,0,0,0,26,924;2,8,0,0,0,30,700
35;C;0,45;2045099/25000000;2,8,0,0,0,38,156;2,8,0,0,0,30,700
36;C;27,29;21908011/100000000;4,2190,0,0,0,6490,1679900;2,21,0,0,0,63,231
36;C;29,31;2472393/12500000;4,1977,0,0,0,6223,814271;2,19,0,0,0,59,319
36;C;31,33;3645931/20000000;2,18,0,0,0,59,119;2,18,0,0,0,56,464
36;C;33,34;8552413/50000000;2,17,0,0,0,56,264;2,17,0,0,0,54,484
36;C;34,36;7503551/50000000;2,15,0,0,0,54,84;2,15,0,0,0,49,599
36;C;36,38;13111957/100000000;2,13,0,0,0,49,199;2,13,0,0,0,45,575
36;C;38,40;44607/390625;2,11,0,0,0,45,175;2,11,0,0,0,41,519
36;C;40,45;2045099/25000000;4,818,0,0,0,4001,351999;2,8,0,0,0,30,700
37;C;0,1;37560337/100000000;2,37,0,0,3,61,3670;2,37,0,0,3,61,3670
38;C;0,18;26812581/100000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
39;C;0,1;37560337/100000000;2,37,0,0,61,3,3670;2,37,0,0,61,3,3670
40;C;0,18;26812581/100000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
41;C;1,18;26812581/100000000;2,26,61,0,0,3,1470;2,26,64,0,0,0,1104
42;C;0,45;2045099/25000000;2,8,0,0,0,4,1584;2,8,0,0,0,5,1575
43;C;0,45;2045099/25000000;2,8,0,0,0,39,79;2,8,0,0,0,5,1575
44;C;18,24;767063/3125000;2,24,0,0,0,64,704;2,24,0,0,0,53,1991
44;C;24,31;2472393/12500000;2,19,0,0,0,53,991;2,19,0,0,0,38,2356
44;C;31,45;2045099/25000000;2,8,0,0,0,38,156;2,8,0,0,0,5,1575
45;C;0,27;23512279/100000000;2,23,0,0,21,61,438;8,23512279,0,0,22148859,64899028,9653335
46;C;0,27;23512279/100000000;2,23,0,0,18,61,555;8,23512279,0,0,22148859,64899028,9653335
47;C;2,8;294801/800000;4,3685,6039,0,0,6039,760958;2,36,62,0,0,54,440
47;C;8,14;265993/800000;4,3324,6120,0,0,5345,456575;2,33,63,0,0,44,695
47;C;14,15;32854539/100000000;2,32,63,0,0,44,495;2,32,63,0,0,43,582
47;C;15,16;14987919/50000000;4,2997,6245,0,0,4288,2553031;2,29,63,0,0,41,150
47;L;16,17;14987919/50000000,13744249/50000000;2,29,63,0,0,41,150;4,2748,6295,0,0,3865,394750
47;L;17,18;13744249/50000000,26812581/100000000;4,2748,6295,0,0,3865,394750;8,26812581,63131126,0,0,37107640,183602524
47;L;18,19;26812581/100000000,3338413/12500000;8,26812581,63131126,0,0,37107640,183602524;10,2670730400,6317335206,0,0,3675035165,431046360339
47;L;19,20;3338413/12500000,26641533/100000000;10,2670730400,6317335206,0,0,3675035165,431046360339;8,26641533,63200000,0,0,36524875,106234375
47;L;20,21;26641533/100000000,26049597/100000000;8,26641533,63200000,0,0,36524875,106234375;8,26049597,63450000,0,0,34409546,44073884
47;L;21,22;26049597/100000000,3187879/12500000;8,26049597,63450000,0,0,34409546,44073884;8,25503032,63700000,0,0,32294216,12945344
47;L;22,23;3187879/12500000,25001839/100000000;8,25503032,63700000,0,0,32294216,12945344;8,25001839,63950000,0,0,30178886,139799004
47;L;23,24;25001839/100000000,767063/3125000;8,25001839,63950000,0,0,30178886,139799004;8,24546016,64200000,0,0,28063556,24634864
47;L;24,25;767063/3125000,4827113/20000000;8,24546016,64200000,0,0,28063556,24634864;8,24135565,64450000,0,0,25948227,15556471
47;L;25,26;4827113/20000000,4754097/20000000;8,24135565,64450000,0,0,25948227,15556471;8,23770485,64700000,0,0,23832897,20587391
47;L;26,27;4754097/20000000,23512279/100000000;8,23770485,64700000,0,0,23832897,20587391;8,23512279,64899028,0,0,22148859,9653335
48;C;0,45;2045099/25000000;2,8,0,0,25,26,299;10,818039600,0,0,2785909922,2932490004,282942033900
49;C;0,22;3187879/12500000;2,25,0,0,20,38,3156;2,25,0,0,23,35,3246
49;C;22,33;3645931/20000000;2,18,0,0,23,35,1846;2,18,0,0,25,33,1886
49;C;33,39;382511/3125000;2,12,0,0,25,33,686;2,12,0,0,27,31,710
49;C;39,42;4964703/50000000;2,9,0,0,27,31,110;2,9,0,0,28,31,55
49;C;42,43;9260381/100000000;2,9,0,0,28,31,55;2,9,0,0,28,30,116
49;C;43,44;4321/50000;4,864,0,0,2741,2977,904390;4,864,0,0,2766,2952,914940
49;L;44,45;4321/50000,2045099/25000000;4,864,0,0,2766,2952,914940;10,818039600,0,0,2785909922,2932490004,282942033900
50;L;27,28;23512279/100000000,1161771/5000000;8,23512279,22148859,0,0,64899028,9653335;8,23235420,22221580,0,0,64445988,13007456
50;L;28,29;1161771/5000000,21908011/100000000;8,23235420,22221580,0,0,64445988,13007456;10,2190801100,2257824714,0,0,6222398977,531880171675
50;L;29,30;21908011/100000000,1289453/6250000;10,2190801100,2257824714,0,0,6222398977,531880171675;8,20631248,22934915,0,0,60001993,109970726
50;L;30,31;1289453/6250000,2472393/12500000;8,20631248,22934915,0,0,60001993,109970726;8,19779144,23181211,0,0,58467599,123748678
50;L;31,32;2472393/12500000,19405129/100000000;8,19779144,23181211,0,0,58467599,123748678;8,19405129,23291583,0,0,57779996,23594095
50;L;32,33;19405129/100000000,3645931/20000000;8,19405129,23291583,0,0,57779996,23594095;8,18229655,23648250,0,0,55557998,130169496
50;L;33,34;3645931/20000000,8552413/50000000;8,18229655,23648250,0,0,55557998,130169496;8,17104826,24004918,0,0,53336001,109141275
50;L;34,35;8552413/50000000,16030641/100000000;8,17104826,24004918,0,0,53336001,109141275;10,1603064100,2436158513,0,0,5111400303,642029137022
50;L;35,36;16030641/100000000,7503551/50000000;10,1603064100,2436158513,0,0,5111400303,642029137022;8,15007102,24718253,0,0,48892006,117923955
50;L;36,37;7503551/50000000,14034207/100000000;8,15007102,24718253,0,0,48892006,117923955;10,1403420700,2507492033,0,0,4667000833,929218833022
50;L;37,38;14034207/100000000,13111957/100000000;10,1403420700,2507492033,0,0,4667000833,929218833022;8,13111957,25431588,0,0,44448011,49942135
50;L;38,39;13111957/100000000,382511/3125000;8,13111957,25431588,0,0,44448011,49942135;10,1224035200,2578825552,0,0,4222601364,493097234800
50;L;39,40;382511/3125000,44607/390625;10,1224035200,2578825552,0,0,4222601364,493097234800;10,1141939200,2614492312,0,0,4000401629,757187041015
50;L;40,41;44607/390625,10649077/100000000;10,1141939200,2614492312,0,0,4000401629,757187041015;8,10649077,26501591,0,0,37782019,114752358
50;L;41,42;10649077/100000000,4964703/50000000;8,10649077,26501591,0,0,37782019,114752358;10,992940600,2685825832,0,0,3556002159,245348846495
50;L;42,43;4964703/50000000,9260381/100000000;10,992940600,2685825832,0,0,3556002159,245348846495;8,9260381,27214926,0,0,33338025,91913899
50;L;43,44;9260381/100000000,4321/50000;8,9260381,27214926,0,0,33338025,91913899;8,8642000,27571594,0,0,31116027,68034435
50;L;44,45;4321/50000,2045099/25000000;8,8642000,27571594,0,0,31116027,68034435;10,818039600,2785909922,0,0,2932490004,282942033900
51;C;0,1;37560337/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
52;C;0,3;37272909/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
53;C;0,1;37560337/100000000;2,37,0,0,61,0,3679;2,37,0,0,61,0,3679
54;C;0,3;37272909/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
55;C;1,3;37272909/100000000;2,37,61,0,0,0,3679;2,37,61,0,0,0,3679
56;C;0,31;2472393/12500000;2,19,0,0,0,20,3400;2,19,0,0,0,22,3316
57;C;0,31;2472393/12500000;2,19,0,0,0,27,3071;2,19,0,0,0,22,3316
58;C;3,31;2472393/12500000;2,19,0,0,0,61,79;2,19,0,0,0,22,3316
59;C;0,1;37560337/100000000;2,37,0,0,0,48,5096;2,37,0,0,0,48,5096
60;C;0,31;2472393/12500000;2,19,0,0,0,3,3791;2,19,0,0,0,4,3784
61;C;0,1;37560337/100000000;2,37,0,0,0,48,5096;2,37,0,0,0,48,5096
62;C;0,31;2472393/12500000;2,19,0,0,0,25,3175;2,19,0,0,0,4,3784
63;C;1,31;2472393/12500000;2,19,0,0,0,48,1496;2,19,0,0,0,4,3784
64;C;0,1;37560337/100000000;2,37,0,0,17,61,3390;2,37,0,0,17,61,3390
65;C;0,3;37272909/100000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
66;C;0,1;37560337/100000000;2,37,0,0,61,17,3390;2,37,0,0,61,17,3390
67;C;0,3;37272909/100000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
68;C;1,3;37272909/100000000;2,37,61,0,0,17,3390;2,37,61,0,0,16,3423
69;C;0,31;2472393/12500000;2,19,0,0,19,20,3039;2,19,0,0,21,22,2875
70;C;0,31;2472393/12500000;2,19,0,0,16,27,2815;2,19,0,0,21,22,2875
71;C;3,31;2472393/12500000;4,1977,1551,0,0,6040,652799;2,19,21,0,0,22,2875
MASS SLACK NUMERATOR 1422266730617279208775263089708488633228034524520400219540131938876149006497750205458136812323200717347160902004321707927
BIN 35: PATH2; (445/336,223/168]; gamma0=6023/10000; mass ceiling=3117707/3125000.
GAMMA 0=6023/10000;1=100274737500/166211894567;2=99825075000/165312569567;3=24993740625/41385324473;4=378/625;5=6073/10000;6=348038775000/572894294993;7=3049/5000;8=6123/10000;9=1537/2500;10=6173/10000;11=3099/5000;12=124106850000/199948720009;13=6223/10000;14=115113600000/184363417759;15=781/1250;16=6273/10000;17=3149/5000;18=82737900000/131138219567;19=6323/10000;20=49912537500/78934201967;21=1587/2500;22=6373/10000;23=3199/5000;24=6423/10000;25=403/625;26=6473/10000;27=74793862500/115250144567;28=3249/5000;29=6523/10000;30=1637/2500;31=40694456250/61982152021;32=6573/10000;33=3299/5000;34=6623/10000;35=831/1250;36=6673/10000;37=3349/5000;38=6723/10000;39=1687/2500;40=6773/10000;41=3399/5000;42=6823/10000;43=428/625;44=6873/10000;45=62503087500/90668594567;46=3449/5000;47=6923/10000;48=1737/2500;49=6973/10000;50=3499/5000;51=7023/10000;52=881/1250;53=7073/10000;54=3549/5000;55=7123/10000;56=1787/2500;57=7173/10000;58=3599/5000;59=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37549339,37669531;1,2,37669531,37423486;2,3,37423486,37395524;3,4,37395524,37110280;4,5,37110280,36885797;5,6,36885797,36906918;6,7,36906918,37185604;7,8,37185604,37491129;8,9,37491129,37797904;9,10,37797904,38105929;10,11,38105929,38415204;11,12,38415204,38526030;12,13,38526030,36217116;13,14,36217116,33461896;14,15,33461896,32944622;15,16,32944622,30062173;16,17,30062173,27569771;17,18,27569771,26889915;18,19,26889915,26545813;19,20,26545813,26538253;20,21,26538253,25957351;21,22,25957351,25414667;22,23,25414667,24917761;23,24,24917761,24466634;24,25,24466634,24061284;25,26,24061284,23701713;26,27,23701713,23487048;27,28,23487048,23034759;28,29,23034759,21706866;29,30,21706866,20430148;30,31,20430148,19566312;31,32,19566312,19204605;32,33,19204605,18030237;33,34,18030237,16907044;34,35,16907044,15835025;35,36,15835025,14814181;36,37,14814181,13844513;37,38,13844513,12926019;38,39,12926019,12058699;39,40,12058699,11242555;40,41,11242555,10477586;41,42,10477586,9763791;42,43,9763791,9101172;43,44,9101172,8489727;44,45,8489727,8024869;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;144392471417/37771650000,1/3,166211894567/75543300000;-749283240977041
2;0,3,6;59/168,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;59/168,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;193/84,5/3,37/56;-29
10;0,6;1/3,1;-1
11;2,3,7;331/168,4/3,37/56;-1
14;0,6;1/3,1;-1
15;2,3,10;331/168,4/3,37/56;-1
18;1,4,8;122573048267/25181100000,1,166211894567/75543300000;-623377740977041
20;0,3,8;85/84,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;57114778817/12590550000,5,166211894567/75543300000;-56802990977041
26;0,8;1/3,1;-1
27;2,3,10;331/168,4/3,37/56;-1
29;1,3,9;29/84,3,223/168;-29
30;1,4,11;122573048267/25181100000,1,166211894567/75543300000;-623377740977041
32;0,3,11;85/84,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;57114778817/12590550000,5,166211894567/75543300000;-56802990977041
38;0,11;1/3,1;-1
39;2,3,7;331/168,4/3,37/56;-1
41;1,3,12;29/84,3,223/168;-29
42;1,4,14;144392471417/37771650000,1/3,166211894567/75543300000;-749283240977041
43;0,3,14;59/168,3,1;-2
45;0,3,14;59/168,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;331/168,4/3,37/56;-1
56;2,3,7;331/168,4/3,37/56;-1
58;2,3,10;331/168,4/3,37/56;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;59/168,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
66;0,3,6;59/168,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;277/84,5/3,139/168;-1
70;0,6;1/3,1;-1
72;1,4,6;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
80;0,3,8;85/84,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;65487494567/12590550000,4,166211894567/75543300000;-245661240977041
84;1,4,8;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
86;0,8;1/3,1;-1
89;1,3,9;29/84,3,223/168;-29
90;1,11;3,1;-2
91;1,4,11;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
92;0,3,11;85/84,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;65487494567/12590550000,4,166211894567/75543300000;-245661240977041
96;1,4,11;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
98;0,11;1/3,1;-1
101;1,3,12;29/84,3,223/168;-29
102;0,1,14;2/3,2,1;-1
103;0,3,14;59/168,3,1;-2
104;1,4,14;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
105;0,3,14;59/168,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;65487494567/15108660000,10/3,166211894567/75543300000;-161724240977041
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;277/84,5/3,139/168;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;23949810923/4721456250,5/3,166211894567/75543300000;-371566740977041
122;0,3,6;59/168,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
126;0,3,6;59/168,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;361/84,13/6,181/168;-1
130;0,6;1/3,1;-1
132;1,4,6;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
134;0,6;1/3,1;-1
136;1,4,6;64855715809/18885825000,19/3,166211894567/75543300000;-2326970577739
138;0,1,8;1,3,1;-2
139;1,4,8;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
140;0,3,8;85/84,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;81716713517/12590550000,3,166211894567/75543300000;-434519490977041
143;1,4,8;64855715809/18885825000,19/3,166211894567/75543300000;-2326970577739
144;1,4,8;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
146;0,8;1/3,1;-1
148;1,4,8;64855715809/18885825000,19/3,166211894567/75543300000;-2326970577739
149;1,3,9;29/84,3,223/168;-29
150;0,1,11;1,3,1;-2
151;1,4,11;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
152;0,3,11;85/84,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;81716713517/12590550000,3,166211894567/75543300000;-434519490977041
155;1,4,11;64855715809/18885825000,19/3,166211894567/75543300000;-2326970577739
156;1,4,11;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
158;0,11;1/3,1;-1
160;1,4,11;64855715809/18885825000,19/3,166211894567/75543300000;-2326970577739
161;1,3,12;29/84,3,223/168;-29
162;0,1,14;5/3,2,1;-1
163;0,3,14;59/168,3,1;-2
164;1,4,14;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
165;0,3,14;59/168,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;87349725587/15108660000,7/3,166211894567/75543300000;-413535240977041
169;0,14;1/3,1;-1
170;1,4,14;64855715809/18885825000,19/3,166211894567/75543300000;-2326970577739
171;1,4,14;23949810923/4721456250,5/3,166211894567/75543300000;-371566740977041
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;361/84,13/6,181/168;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;277726515857112,7249630991312274656175000,257441515700551,2380
4;1,4,6,3;277726515857112,4083270637739459174820000,835671515200508,3304
5;5,4,2,3;835671515200508,10135328719625676621180000,1327461886954504,3080
12;1,4,6,3;277726515857112,4083270637739459174820000,835671515200508,3304
13;5,4,2,3;835671515200508,10135328719625676621180000,1327461886954504,3080
16;1,4,6,3;277726515857112,24359008758873873280875000,855017831588403,1995
17;5,4,2,3;855017831588403,2092634249586826294125000,1327461886954504,119
19;1,4,8,3;277726515857112,4083270637739459174820000,835671515200508,3304
23;7,4,8,3;835671515200508,6264688952047094846235000,855017831588403,917
24;1,4,8,3;277726515857112,4083270637739459174820000,835671515200508,3304
25;7,4,2,3;257441515700551,1845224393639865258825000,1327461886954504,252
28;7,4,8,3;835671515200508,6264688952047094846235000,855017831588403,917
31;1,4,11,3;277726515857112,4083270637739459174820000,835671515200508,3304
35;10,4,11,3;835671515200508,6264688952047094846235000,855017831588403,917
36;1,4,11,3;277726515857112,4083270637739459174820000,835671515200508,3304
37;10,4,2,3;257441515700551,1845224393639865258825000,1327461886954504,252
40;10,4,11,3;835671515200508,6264688952047094846235000,855017831588403,917
44;1,4,14,3;277726515857112,4083270637739459174820000,835671515200508,3304
48;1,4,14,3;277726515857112,4083270637739459174820000,835671515200508,3304
50;1,4,14,3;277726515857112,24359008758873873280875000,855017831588403,1995
51;1,4,14,3;277726515857112,7249630991312274656175000,257441515700551,2380
53;13,4,2,3;835671515200508,10135328719625676621180000,1327461886954504,3080
57;13,4,2,3;835671515200508,10135328719625676621180000,1327461886954504,3080
59;13,4,2,3;855017831588403,2092634249586826294125000,1327461886954504,119
61;1,4,6,3;277726515857112,232286545399549312350000,18012004485713,28
65;1,4,9,3;277726515857112,11599409586099639449880000,27108650153571336,28560
71;7,4,2,3;27108650153571336,3185742399005372550120000,13260900227057112,13776
73;1,4,12,3;277726515857112,11599409586099639449880000,27108650153571336,28560
75;10,4,2,3;27108650153571336,3185742399005372550120000,13260900227057112,13776
76;1,4,6,3;277726515857112,5046016660824436640437500,788203574507139,819
77;5,4,2,3;788203574507139,2005435949024019609562500,13260900227057112,945
83;1,4,8,3;277726515857112,5046016660824436640437500,788203574507139,819
85;7,4,12,3;18012004485713,4492723596027596137530000,27108650153571336,4676
87;10,4,2,3;27108650153571336,3185742399005372550120000,13260900227057112,13776
88;1,4,8,3;277726515857112,5046016660824436640437500,788203574507139,819
95;1,4,11,3;277726515857112,5046016660824436640437500,788203574507139,819
97;10,4,9,3;18012004485713,4492723596027596137530000,27108650153571336,4676
99;7,4,2,3;27108650153571336,3185742399005372550120000,13260900227057112,13776
100;1,4,11,3;277726515857112,5046016660824436640437500,788203574507139,819
110;1,4,14,3;277726515857112,5046016660824436640437500,788203574507139,819
111;1,4,14,3;277726515857112,232286545399549312350000,18012004485713,28
113;1,4,9,3;277726515857112,11599409586099639449880000,27108650153571336,28560
116;7,4,2,3;27108650153571336,3185742399005372550120000,13260900227057112,13776
117;1,4,12,3;277726515857112,11599409586099639449880000,27108650153571336,28560
118;10,4,2,3;27108650153571336,3185742399005372550120000,13260900227057112,13776
119;13,4,2,3;788203574507139,2005435949024019609562500,13260900227057112,945
125;1,4,9,3;277726515857112,185829236319639449880000,1357971449427936,336
131;7,4,2,3;1357971449427936,3196065211019588005560000,5649178227422856,20832
133;1,4,12,3;277726515857112,185829236319639449880000,1357971449427936,336
135;10,4,2,3;1357971449427936,3196065211019588005560000,5649178227422856,20832
137;1,4,2,3;277726515857112,7133487718612500000000000,5649178227422856,7056
145;1,4,12,3;277726515857112,185829236319639449880000,1357971449427936,336
147;10,4,2,3;1357971449427936,3196065211019588005560000,5649178227422856,20832
157;1,4,9,3;277726515857112,185829236319639449880000,1357971449427936,336
159;7,4,2,3;1357971449427936,3196065211019588005560000,5649178227422856,20832
173;1,4,9,3;277726515857112,185829236319639449880000,1357971449427936,336
176;7,4,2,3;1357971449427936,3196065211019588005560000,5649178227422856,20832
177;1,4,12,3;277726515857112,185829236319639449880000,1357971449427936,336
178;10,4,2,3;1357971449427936,3196065211019588005560000,5649178227422856,20832
179;1,4,2,3;277726515857112,7133487718612500000000000,5649178227422856,7056
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/20;E/4,5/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/20;E/4,5/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
16:V/3,1/13/0/1;V/6,3/14/0/14;E/4,1/15/0/1;E/4,6/16/0/14;E/4,3/17/1/14
17:V/3,5/14/0/14;V/2,3/18/0/20;E/4,5/16/0/14;E/4,2/19/0/20;E/4,3/20/14/20
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/12;V/2,3/21/0/20;E/4,7/3/0/12;E/4,2/22/0/20;E/4,3/23/12/20
28:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/12;V/2,3/21/0/20;E/4,10/3/0/12;E/4,2/22/0/20;E/4,3/23/12/20
40:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/14;E/4,1/15/0/1;E/4,14/16/0/14;E/4,3/17/1/14
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/6;V/2,3/10/0/20;E/4,13/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
57:V/3,13/6/0/6;V/2,3/10/0/20;E/4,13/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
59:V/3,13/14/0/14;V/2,3/18/0/20;E/4,13/16/0/14;E/4,2/19/0/20;E/4,3/20/14/20
61:V/3,1/24/0/1;V/6,3/25/0/2;E/4,1/26/0/1;E/4,6/27/0/2;E/4,3/28/1/2
65:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
71:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
73:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
75:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
76:V/3,1/37/0/1;V/6,3/38/0/18;E/4,1/39/0/1;E/4,6/40/0/18;E/4,3/41/1/18
77:V/3,5/38/0/18;V/2,3/42/0/45;E/4,5/40/0/18;E/4,2/43/0/45;E/4,3/44/18/45
83:V/3,1/29/0/1;V/8,3/38/0/18;E/4,1/31/0/1;E/4,8/40/0/18;E/4,3/33/1/18
85:V/3,7/25/0/2;V/12,3/45/0/27;E/4,7/27/0/2;E/4,12/46/0/27;E/4,3/47/2/27
87:V/3,10/45/0/27;V/2,3/48/0/45;E/4,10/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
88:V/3,1/29/0/1;V/8,3/38/0/18;E/4,1/31/0/1;E/4,8/40/0/18;E/4,3/33/1/18
95:V/3,1/29/0/1;V/11,3/38/0/18;E/4,1/31/0/1;E/4,11/40/0/18;E/4,3/33/1/18
97:V/3,10/25/0/2;V/9,3/45/0/27;E/4,10/27/0/2;E/4,9/46/0/27;E/4,3/47/2/27
99:V/3,7/45/0/27;V/2,3/48/0/45;E/4,7/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
100:V/3,1/29/0/1;V/11,3/38/0/18;E/4,1/31/0/1;E/4,11/40/0/18;E/4,3/33/1/18
110:V/3,1/37/0/1;V/14,3/38/0/18;E/4,1/39/0/1;E/4,14/40/0/18;E/4,3/41/1/18
111:V/3,1/24/0/1;V/14,3/25/0/2;E/4,1/26/0/1;E/4,14/27/0/2;E/4,3/28/1/2
113:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
116:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
117:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
118:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
119:V/3,13/38/0/18;V/2,3/42/0/45;E/4,13/40/0/18;E/4,2/43/0/45;E/4,3/44/18/45
125:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
131:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
133:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
135:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/3;E/4,1/66/0/1;E/4,12/67/0/3;E/4,3/68/1/3
147:V/3,10/65/0/3;V/2,3/69/0/31;E/4,10/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
157:V/3,1/64/0/1;V/9,3/65/0/3;E/4,1/66/0/1;E/4,9/67/0/3;E/4,3/68/1/3
159:V/3,7/65/0/3;V/2,3/69/0/31;E/4,7/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
173:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
176:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
177:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
178:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;37549339/100000000,37669531/100000000;6,375493,0,159305,602300,602300,77336975;8,37669531,0,15956775,60329460,60329460,43816175
1;C;0,3;9348881/25000000;4,3739,0,0,6023,6023,2226942;4,3739,0,0,6040,6040,1816800
1;C;3,4;927757/2500000;4,3711,0,0,6040,6040,1256800;4,3711,0,0,6048,6048,1063392
1;C;4,5;36885797/100000000;4,3688,0,0,6048,6048,603392;6,368857,0,0,607300,607300,87420000
1;L;5,6;36885797/100000000,18453459/50000000;6,368857,0,0,607300,607300,87420000;6,369069,0,0,607510,607510,1199800
1;L;6,7;18453459/50000000,9296401/25000000;6,369069,0,0,607510,607510,1199800;8,37185604,0,0,60980000,60980000,0
1;L;7,8;9296401/25000000,37491129/100000000;8,37185604,0,0,60980000,60980000,0;8,37491129,0,0,61230000,61230000,0
1;L;8,9;37491129/100000000,2362369/6250000;8,37491129,0,0,61230000,61230000,0;8,37797904,0,0,61480000,61480000,0
1;L;9,10;2362369/6250000,38105929/100000000;8,37797904,0,0,61480000,61480000,0;8,38105929,0,0,61730000,61730000,0
1;L;10,11;38105929/100000000,9603801/25000000;8,38105929,0,0,61730000,61730000,0;8,38415204,0,0,61980000,61980000,0
1;L;11,12;9603801/25000000,3852603/10000000;8,38415204,0,0,61980000,61980000,0;8,38526030,0,0,62069340,62069340,63928800
2;L;0,1;37549339/100000000,37669531/100000000;8,37549339,0,60230000,60230000,15954999,6909999;8,37669531,0,60329460,60329460,15956775,43816175
3;C;0,3;9348881/25000000;4,3739,0,0,6023,6023,2226942;4,3739,0,0,6040,6040,1816800
3;C;3,4;927757/2500000;4,3711,0,0,6040,6040,1256800;4,3711,0,0,6048,6048,1063392
3;C;4,5;36885797/100000000;4,3688,0,0,6048,6048,603392;6,368857,0,0,607300,607300,87420000
3;L;5,6;36885797/100000000,18453459/50000000;6,368857,0,0,607300,607300,87420000;6,369069,0,0,607510,607510,1199800
3;L;6,7;18453459/50000000,9296401/25000000;6,369069,0,0,607510,607510,1199800;8,37185604,0,0,60980000,60980000,0
3;L;7,8;9296401/25000000,37491129/100000000;8,37185604,0,0,60980000,60980000,0;8,37491129,0,0,61230000,61230000,0
3;L;8,9;37491129/100000000,2362369/6250000;8,37491129,0,0,61230000,61230000,0;8,37797904,0,0,61480000,61480000,0
3;L;9,10;2362369/6250000,38105929/100000000;8,37797904,0,0,61480000,61480000,0;8,38105929,0,0,61730000,61730000,0
3;L;10,11;38105929/100000000,9603801/25000000;8,38105929,0,0,61730000,61730000,0;8,38415204,0,0,61980000,61980000,0
3;L;11,12;9603801/25000000,3852603/10000000;8,38415204,0,0,61980000,61980000,0;8,38526030,0,0,62069340,62069340,63928800
4;L;1,2;37669531/100000000,18711743/50000000;8,37669531,60329460,60329460,0,15956775,43816175;10,3742348600,6038565323,6038565323,0,1385073666,619477131786
4;L;2,3;18711743/50000000,9348881/25000000;10,3742348600,6038565323,6038565323,0,1385073666,619477131786;10,3739552400,6039276228,6039276228,0,1358430295,417454397007
4;L;3,4;9348881/25000000,927757/2500000;10,3739552400,6039276228,6039276228,0,1358430295,417454397007;8,37110280,60480000,60480000,0,10314797,162848791
4;L;4,5;927757/2500000,36885797/100000000;8,37110280,60480000,60480000,0,10314797,162848791;8,36885797,60730000,60730000,0,945266,72189244
4;L;5,6;36885797/100000000,18453459/50000000;8,36885797,60730000,60730000,0,945266,72189244;8,36906918,60750959,60750959,0,159783,30553549
4;L;6,7;18453459/50000000,9296401/25000000;8,36906918,60750959,60750959,0,159783,30553549;8,37185604,60980000,60980000,0,0,0
4;L;7,8;9296401/25000000,37491129/100000000;8,37185604,60980000,60980000,0,0,0;8,37491129,61230000,61230000,0,0,0
4;L;8,9;37491129/100000000,2362369/6250000;8,37491129,61230000,61230000,0,0,0;8,37797904,61480000,61480000,0,0,0
4;L;9,10;2362369/6250000,38105929/100000000;8,37797904,61480000,61480000,0,0,0;8,38105929,61730000,61730000,0,0,0
4;L;10,11;38105929/100000000,9603801/25000000;8,38105929,61730000,61730000,0,0,0;8,38415204,61980000,61980000,0,0,0
4;L;11,12;9603801/25000000,3852603/10000000;8,38415204,61980000,61980000,0,0,0;8,38526030,62069340,62069340,0,0,63928800
5;C;0,1;37549339/100000000;4,3754,0,28,6023,6023,2526158;4,3754,0,29,6033,6033,2284981
6;C;0,3;9348881/25000000;4,3739,0,16,6023,6023,2226686;4,3739,0,16,6040,6040,1816544
6;C;3,4;927757/2500000;4,3711,0,16,6040,6040,1256544;4,3711,0,16,6048,6048,1063136
6;C;4,5;36885797/100000000;4,3688,0,16,6048,6048,603136;6,368857,0,1598,607300,607300,84866396
6;L;5,6;36885797/100000000,18453459/50000000;6,368857,0,1598,607300,607300,84866396;8,36906918,0,159783,60750959,60750959,30553549
7;C;0,1;37549339/100000000;4,3754,0,6023,6023,0,2526942;4,3754,29,6033,6033,0,2284981
8;C;0,3;9348881/25000000;4,3739,0,0,6023,6023,2226942;4,3739,0,0,6040,6040,1816800
8;C;3,4;927757/2500000;4,3711,0,0,6040,6040,1256800;4,3711,0,0,6048,6048,1063392
8;C;4,5;36885797/100000000;4,3688,0,0,6048,6048,603392;6,368857,0,918,607300,607300,86577276
8;L;5,6;36885797/100000000,18453459/50000000;6,368857,0,918,607300,607300,86577276;8,36906918,0,159783,60750959,60750959,30553549
9;C;1,3;9348881/25000000;4,3739,6033,6033,29,0,1984981;4,3739,6040,6040,27,0,1816071
9;C;3,4;927757/2500000;4,3711,6040,6040,27,0,1256071;4,3711,6048,6048,24,0,1062816
9;C;4,5;36885797/100000000;4,3688,6048,6048,24,0,602816;6,368857,607300,607300,1658,0,84671036
9;L;5,6;36885797/100000000,18453459/50000000;6,368857,607300,607300,1658,0,84671036;8,36906918,60750959,60750959,159783,0,30553549
10;C;0,20;26538253/100000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
11;C;0,20;26538253/100000000;2,26,0,0,61,0,1479;2,26,0,0,64,0,1104
12;C;6,9;18453459/50000000;8,36906918,60750959,159783,0,60750959,30553549;2,36,62,0,0,35,2131
12;C;9,13;9054279/25000000;2,36,62,0,0,35,2131;2,36,63,0,0,8,3167
12;C;13,20;26538253/100000000;2,26,63,0,0,8,1167;2,26,64,0,0,0,1104
13;C;0,1;37549339/100000000;2,37,1,1,47,61,1468;2,37,1,1,47,61,1468
14;C;0,14;4182737/12500000;2,33,0,0,0,61,2879;2,33,0,0,0,63,2631
15;C;0,1;37549339/100000000;2,37,0,0,61,47,1470;2,37,1,1,61,47,1468
16;C;0,14;4182737/12500000;2,33,0,0,0,61,2879;2,33,0,0,0,63,2631
17;C;1,14;4182737/12500000;2,33,61,1,1,47,668;2,33,63,0,0,0,2631
18;C;0,20;26538253/100000000;2,26,0,0,0,34,4044;2,26,0,0,0,35,3975
19;C;0,20;26538253/100000000;2,26,0,0,0,47,2991;2,26,0,0,0,35,3975
20;C;14,20;26538253/100000000;2,26,0,0,0,63,1231;2,26,0,0,0,35,3975
21;C;0,20;26538253/100000000;2,26,0,0,32,61,455;4,2653,0,0,3303,6324,2157215
22;C;0,20;26538253/100000000;2,26,0,0,61,36,183;4,2653,0,0,6324,3303,2157215
23;L;12,13;3852603/10000000,9054279/25000000;8,38526030,62069340,0,0,62069340,63928800;8,36217116,62230000,0,0,58059024,32167424
23;L;13,14;9054279/25000000,4182737/12500000;8,36217116,62230000,0,0,58059024,32167424;10,3346189600,6243841724,0,0,5285662888,360056207280
23;L;14,15;4182737/12500000,16472311/50000000;10,3346189600,6243841724,0,0,5285662888,360056207280;8,32944622,62480000,0,0,51818663,164892431
23;L;15,16;16472311/50000000,30062173/100000000;8,32944622,62480000,0,0,51818663,164892431;10,3006217300,6273000000,0,0,4557830228,612729468016
23;L;16,17;30062173/100000000,27569771/100000000;10,3006217300,6273000000,0,0,4557830228,612729468016;8,27569771,62980000,0,0,39337942,119204636
23;L;17,18;27569771/100000000,5377983/20000000;8,27569771,62980000,0,0,39337942,119204636;4,2688,6310,0,0,3654,592184
23;L;18,19;5377983/20000000,26545813/100000000;4,2688,6310,0,0,3654,592184;4,2654,6323,0,0,3310,2143571
23;C;19,20;26538253/100000000;4,2653,6323,0,0,3310,2123571;4,2653,6324,0,0,3303,2157215
24;C;0,1;37549339/100000000;4,3754,0,0,6023,6023,2526942;4,3754,0,0,6033,6033,2285822
25;C;0,2;18711743/50000000;4,3742,0,0,6023,6023,2286942;4,3742,0,0,6039,6039,1900958
26;C;0,1;37549339/100000000;4,3754,0,0,6023,6023,2526942;4,3754,0,0,6033,6033,2285822
27;C;0,2;18711743/50000000;4,3742,0,0,6023,6023,2286942;4,3742,0,0,6039,6039,1900958
28;C;1,2;18711743/50000000;4,3742,6033,6033,0,0,2045822;4,3742,6039,6039,0,0,1900958
29;C;0,1;37549339/100000000;2,37,0,1,32,61,2654;2,37,0,1,32,61,2654
30;C;0,27;2935881/12500000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
31;C;0,1;37549339/100000000;2,37,0,0,61,32,2655;2,37,1,0,61,32,2654
32;C;0,27;2935881/12500000;2,23,0,0,0,61,879;2,23,0,0,0,65,375
33;C;1,27;2935881/12500000;4,2348,6033,1,0,3124,803534;2,23,65,0,0,0,375
34;C;0,45;8024869/100000000;2,8,0,0,0,26,924;2,8,0,0,0,29,759
35;C;0,45;8024869/100000000;2,8,0,0,0,38,156;2,8,0,0,0,29,759
36;C;27,29;10853433/50000000;4,2170,0,0,0,6490,1279900;2,21,0,0,0,62,356
36;C;29,31;2445789/12500000;4,1956,0,0,0,6193,766751;2,19,0,0,0,59,319
36;C;31,33;18030237/100000000;2,18,0,0,0,59,119;2,18,0,0,0,56,464
36;C;33,34;4226761/25000000;2,16,0,0,0,56,64;2,16,0,0,0,53,391
36;C;34,36;14814181/100000000;4,1481,0,0,0,5299,1540599;2,14,0,0,0,49,399
36;C;36,38;12926019/100000000;4,1292,0,0,0,4853,2288391;2,12,0,0,0,45,375
36;C;38,40;2248511/20000000;2,11,0,0,0,45,175;2,11,0,0,0,40,600
36;C;40,45;8024869/100000000;2,8,0,0,0,40,0;2,8,0,0,0,29,759
37;C;0,1;37549339/100000000;2,37,1,1,2,61,3673;2,37,1,1,2,61,3673
38;C;0,18;5377983/20000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
39;C;0,1;37549339/100000000;2,37,0,0,61,2,3675;2,37,1,1,61,2,3673
40;C;0,18;5377983/20000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
41;C;1,18;5377983/20000000;2,26,61,1,1,2,1473;2,26,64,0,0,0,1104
42;C;0,45;8024869/100000000;2,8,0,0,0,3,1591;2,8,0,0,0,3,1591
43;C;0,45;8024869/100000000;2,8,0,0,0,38,156;2,8,0,0,0,3,1591
44;C;18,24;12233317/50000000;2,24,0,0,0,64,704;2,24,0,0,0,52,2096
44;C;24,31;2445789/12500000;2,19,0,0,0,52,1096;2,19,0,0,0,37,2431
44;C;31,45;8024869/100000000;2,8,0,0,0,37,231;2,8,0,0,0,3,1591
45;C;0,27;2935881/12500000;2,23,0,0,21,61,438;10,2348704800,0,0,2204068074,6489697934,650610062168
46;C;0,27;2935881/12500000;2,23,0,0,18,61,555;10,2348704800,0,0,2204068074,6489697934,650610062168
47;C;2,8;36885797/100000000;4,3688,6039,0,0,6039,820958;2,36,62,0,0,54,440
47;C;8,14;4182737/12500000;4,3346,6123,0,0,5321,1115830;2,33,63,0,0,43,782
47;C;14,15;16472311/50000000;2,32,63,0,0,43,582;2,32,63,0,0,43,582
47;C;15,16;30062173/100000000;2,30,63,0,0,43,182;2,30,63,0,0,41,350
47;L;16,17;30062173/100000000,27569771/100000000;2,30,63,0,0,41,350;4,2756,6298,0,0,3834,755640
47;L;17,18;27569771/100000000,5377983/20000000;4,2756,6298,0,0,3834,755640;10,2688991500,6309213308,0,0,3738135408,1105612370672
47;L;18,19;5377983/20000000,26545813/100000000;10,2688991500,6309213308,0,0,3738135408,1105612370672;10,2654581300,6323000000,0,0,3620952492,50678989936
47;L;19,20;26545813/100000000,26538253/100000000;10,2654581300,6323000000,0,0,3620952492,50678989936;8,26538253,63233094,0,0,36183234,488408
47;L;20,21;26538253/100000000,25957351/100000000;8,26538253,63233094,0,0,36183234,488408;8,25957351,63480000,0,0,34084597,47347591
47;L;21,22;25957351/100000000,25414667/100000000;8,25957351,63480000,0,0,34084597,47347591;8,25414667,63730000,0,0,31959669,57410439
47;L;22,23;25414667/100000000,24917761/100000000;8,25414667,63730000,0,0,31959669,57410439;8,24917761,63980000,0,0,29834741,29462919
47;L;23,24;24917761/100000000,12233317/50000000;8,24917761,63980000,0,0,29834741,29462919;8,24466634,64230000,0,0,27709813,163505031
47;L;24,25;12233317/50000000,6015321/25000000;8,24466634,64230000,0,0,27709813,163505031;8,24061284,64480000,0,0,25584885,59536775
47;L;25,26;6015321/25000000,23701713/100000000;8,24061284,64480000,0,0,25584885,59536775;8,23701713,64730000,0,0,23459957,117558151
47;L;26,27;23701713/100000000,2935881/12500000;8,23701713,64730000,0,0,23459957,117558151;10,2348704800,6489697934,0,0,2204068074,650610062168
48;C;0,45;8024869/100000000;2,8,0,0,25,26,299;8,8024869,0,0,27834675,28813272,24298391
49;C;0,22;25414667/100000000;2,25,0,0,20,38,3156;2,25,0,0,23,34,3315
49;C;22,33;18030237/100000000;2,18,0,0,23,34,1915;2,18,0,0,25,32,1951
49;C;33,39;12058699/100000000;2,12,0,0,25,32,751;2,12,0,0,27,31,710
49;C;39,42;9763791/100000000;2,9,0,0,27,31,110;2,9,0,0,28,30,116
49;C;42,43;2275293/25000000;2,9,0,0,28,30,116;2,9,0,0,28,30,116
49;C;43,44;8489727/100000000;4,848,0,0,2738,2926,901880;4,848,0,0,2763,2902,904227
49;L;44,45;8489727/100000000,8024869/100000000;4,848,0,0,2763,2902,904227;8,8024869,0,0,27834675,28813272,24298391
50;L;27,28;2935881/12500000,23034759/100000000;10,2348704800,2204068074,0,0,6489697934,650610062168;8,23034759,22159782,0,0,64155248,15770972
50;L;28,29;23034759/100000000,10853433/50000000;8,23034759,22159782,0,0,64155248,15770972;10,2170686600,2251842842,0,0,6192167257,476270458987
50;L;29,30;10853433/50000000,5107537/25000000;10,2170686600,2251842842,0,0,6192167257,476270458987;10,2043014800,2287707558,0,0,5968809741,404813189555
50;L;30,31;5107537/25000000,2445789/12500000;10,2043014800,2287707558,0,0,5968809741,404813189555;8,19566312,23128301,0,0,58123524,50674823
50;L;31,32;2445789/12500000,3840921/20000000;8,19566312,23128301,0,0,58123524,50674823;10,1920460500,2323572275,0,0,5745452225,613093873750
50;L;32,33;3840921/20000000,18030237/100000000;10,1920460500,2323572275,0,0,5745452225,613093873750;8,18030237,23594370,0,0,55220948,6284396
50;L;33,34;18030237/100000000,4226761/25000000;8,18030237,23594370,0,0,55220948,6284396;8,16907044,23953018,0,0,52987372,137225292
50;L;34,35;4226761/25000000,633401/4000000;8,16907044,23953018,0,0,52987372,137225292;8,15835025,24311665,0,0,50753797,35010566
50;L;35,36;633401/4000000,14814181/100000000;8,15835025,24311665,0,0,50753797,35010566;10,1481418100,2467031143,0,0,4852022160,298337047951
50;L;36,37;14814181/100000000,13844513/100000000;10,1481418100,2467031143,0,0,4852022160,298337047951;8,13844513,25028959,0,0,46286647,120873710
50;L;37,38;13844513/100000000,12926019/100000000;8,13844513,25028959,0,0,46286647,120873710;8,12926019,25387606,0,0,44053072,108951580
50;L;38,39;12926019/100000000,12058699/100000000;8,12926019,25387606,0,0,44053072,108951580;10,1205869900,2574625294,0,0,4181949611,46552362243
50;L;39,40;12058699/100000000,2248511/20000000;10,1205869900,2574625294,0,0,4181949611,46552362243;8,11242555,26104901,0,0,39585921,2361958
50;L;40,41;2248511/20000000,5238793/50000000;8,11242555,26104901,0,0,39585921,2361958;8,10477586,26463548,0,0,37352346,75547980
50;L;41,42;5238793/50000000,9763791/100000000;8,10477586,26463548,0,0,37352346,75547980;10,976379100,2682219445,0,0,3511877063,343238386006
50;L;42,43;9763791/100000000,2275293/25000000;10,976379100,2682219445,0,0,3511877063,343238386006;8,9101172,27180842,0,0,32885196,112212620
50;L;43,44;2275293/25000000,8489727/100000000;8,9101172,27180842,0,0,32885196,112212620;8,8489727,27539489,0,0,30651621,75691238
50;L;44,45;8489727/100000000,8024869/100000000;8,8489727,27539489,0,0,30651621,75691238;8,8024869,27834675,0,0,28813272,24298391
51;C;0,1;37549339/100000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
52;C;0,3;9348881/25000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
53;C;0,1;37549339/100000000;2,37,0,0,61,0,3679;2,37,0,0,61,0,3679
54;C;0,3;9348881/25000000;2,37,0,0,0,61,3679;2,37,0,0,0,61,3679
55;C;1,3;9348881/25000000;2,37,61,0,0,0,3679;2,37,61,0,0,0,3679
56;C;0,31;2445789/12500000;2,19,0,0,0,20,3400;2,19,0,0,0,22,3316
57;C;0,31;2445789/12500000;2,19,0,0,0,27,3071;2,19,0,0,0,22,3316
58;C;3,31;2445789/12500000;2,19,0,0,0,61,79;2,19,0,0,0,22,3316
59;C;0,1;37549339/100000000;2,37,0,0,0,47,5191;2,37,0,0,0,47,5191
60;C;0,31;2445789/12500000;2,19,0,0,0,2,3796;2,19,0,0,0,3,3791
61;C;0,1;37549339/100000000;2,37,0,0,0,48,5096;2,37,0,0,0,47,5191
62;C;0,31;2445789/12500000;2,19,0,0,0,24,3224;2,19,0,0,0,3,3791
63;C;1,31;2445789/12500000;2,19,0,0,0,47,1591;2,19,0,0,0,3,3791
64;C;0,1;37549339/100000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
65;C;0,3;9348881/25000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
66;C;0,1;37549339/100000000;2,37,0,0,61,16,3423;2,37,0,0,61,16,3423
67;C;0,3;9348881/25000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
68;C;1,3;9348881/25000000;2,37,61,0,0,16,3423;2,37,61,0,0,16,3423
69;C;0,31;2445789/12500000;2,19,0,0,19,20,3039;2,19,0,0,21,22,2875
70;C;0,31;2445789/12500000;2,19,0,0,16,27,2815;2,19,0,0,21,22,2875
71;C;3,31;2445789/12500000;4,1956,1543,0,0,6040,257551;2,19,21,0,0,22,2875
MASS SLACK NUMERATOR 362167466820831893848770268936515540263352401693755307917583701661335909823295306336386692354046990380917525786192853007
BIN 36: PATH2; (223/168,149/112]; gamma0=6027/10000; mass ceiling=19975087/20000000.
GAMMA 0=6027/10000;1=100499568750/166493144567;2=100274737500/166043482067;3=200699362500/332315692459;4=1513/2500;5=6077/10000;6=700574175000/1152714180661;7=3051/5000;8=6127/10000;9=769/1250;10=6177/10000;11=3101/5000;12=250012350000/402580970243;13=6227/10000;14=232625400000/372449385893;15=1563/2500;16=6277/10000;17=3151/5000;18=83337450000/132168907067;19=6327/10000;20=50137368750/79215451967;21=397/625;22=6377/10000;23=3201/5000;24=6427/10000;25=1613/2500;26=6477/10000;27=75168581250/115831169567;28=3251/5000;29=6527/10000;30=819/1250;31=40806871875/62122777021;32=6577/10000;33=3301/5000;34=6627/10000;35=1663/2500;36=6677/10000;37=3351/5000;38=6727/10000;39=422/625;40=6777/10000;41=3401/5000;42=6827/10000;43=1713/2500;44=6877/10000;45=62727918750/90949844567;46=3451/5000;47=6927/10000;48=869/1250;49=6977/10000;50=3501/5000;51=7027/10000;52=1763/2500;53=7077/10000;54=3551/5000;55=7127/10000;56=447/625;57=7177/10000;58=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37551198,37663060;1,2,37663060,37538675;2,3,37538675,37523771;3,4,37523771,37106823;4,5,37106823,36931113;5,6,36931113,36937627;6,7,36937627,37234404;7,8,37234404,37540129;8,9,37540129,37847104;9,10,37847104,38155329;10,11,38155329,38464804;11,12,38464804,38567052;12,13,38567052,36164154;13,14,36164154,33673860;14,15,33673860,32905153;15,16,32905153,30034989;16,17,30034989,27553661;17,18,27553661,27248486;18,19,27248486,26425972;19,20,26425972,26371825;20,21,26371825,25842942;21,22,25842942,25306100;22,23,25306100,24815444;23,24,24815444,24370976;24,25,24370976,23972694;25,26,23972694,23620600;26,27,23620600,23461932;27,28,23461932,22779185;28,29,22779185,21453005;29,30,21453005,20178534;30,31,20178534,19353779;31,32,19353779,18955770;32,33,18955770,17784714;33,34,17784714,16665365;34,35,16665365,15597724;35,36,15597724,14581790;36,37,14581790,13617565;37,38,13617565,12705046;38,39,12705046,11844236;39,40,11844236,11035133;40,41,11035133,10277737;41,42,10277737,9572050;42,43,9572050,8918070;43,44,8918070,8315797;44,45,8315797,7871653;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;144673721417/37771650000,1/3,166493144567/75543300000;-5113218927247
2;0,3,6;115/336,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;115/336,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;389/168,5/3,223/336;-19
10;0,6;1/3,1;-1
11;2,3,7;667/336,4/3,223/336;-1
14;0,6;1/3,1;-1
15;2,3,10;667/336,4/3,223/336;-1
18;1,4,8;122854298267/25181100000,1,166493144567/75543300000;-4256718927247
20;0,3,8;169/168,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;57396028817/12590550000,5,166493144567/75543300000;-402468927247
26;0,8;1/3,1;-1
27;2,3,10;667/336,4/3,223/336;-1
29;1,3,9;19/56,3,149/112;-19
30;1,4,11;122854298267/25181100000,1,166493144567/75543300000;-4256718927247
32;0,3,11;169/168,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;57396028817/12590550000,5,166493144567/75543300000;-402468927247
38;0,11;1/3,1;-1
39;2,3,7;667/336,4/3,223/336;-1
41;1,3,12;19/56,3,149/112;-19
42;1,4,14;144673721417/37771650000,1/3,166493144567/75543300000;-5113218927247
43;0,3,14;115/336,3,1;-2
45;0,3,14;115/336,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;667/336,4/3,223/336;-1
56;2,3,7;667/336,4/3,223/336;-1
58;2,3,10;667/336,4/3,223/336;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;115/336,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
66;0,3,6;115/336,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;557/168,5/3,93/112;-1
70;0,6;1/3,1;-1
72;1,4,6;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
80;0,3,8;169/168,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;65768744567/12590550000,4,166493144567/75543300000;-241031275321
84;1,4,8;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
86;0,8;1/3,1;-1
89;1,3,9;19/56,3,149/112;-19
90;1,11;3,1;-2
91;1,4,11;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
92;0,3,11;169/168,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;65768744567/12590550000,4,166493144567/75543300000;-241031275321
96;1,4,11;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
98;0,11;1/3,1;-1
101;1,3,12;19/56,3,149/112;-19
102;0,1,14;2/3,2,1;-1
103;0,3,14;115/336,3,1;-2
104;1,4,14;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
105;0,3,14;115/336,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;65768744567/15108660000,10/3,166493144567/75543300000;-372072975749
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;557/168,5/3,93/112;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;24020123423/4721456250,5/3,166493144567/75543300000;-2543718927247
122;0,3,6;115/336,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
126;0,3,6;115/336,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;725/168,13/6,121/112;-1
130;0,6;1/3,1;-1
132;1,4,6;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
134;0,6;1/3,1;-1
136;1,4,6;65418215809/18885825000,19/3,166493144567/75543300000;-316818927247
138;0,1,8;1,3,1;-2
139;1,4,8;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
140;0,3,8;169/168,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;81997963517/12590550000,3,166493144567/75543300000;-2971968927247
143;1,4,8;65418215809/18885825000,19/3,166493144567/75543300000;-316818927247
144;1,4,8;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
146;0,8;1/3,1;-1
148;1,4,8;65418215809/18885825000,19/3,166493144567/75543300000;-316818927247
149;1,3,9;19/56,3,149/112;-19
150;0,1,11;1,3,1;-2
151;1,4,11;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
152;0,3,11;169/168,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;81997963517/12590550000,3,166493144567/75543300000;-2971968927247
155;1,4,11;65418215809/18885825000,19/3,166493144567/75543300000;-316818927247
156;1,4,11;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
158;0,11;1/3,1;-1
160;1,4,11;65418215809/18885825000,19/3,166493144567/75543300000;-316818927247
161;1,3,12;19/56,3,149/112;-19
162;0,1,14;5/3,2,1;-1
163;0,3,14;115/336,3,1;-2
164;1,4,14;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
165;0,3,14;115/336,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;87630975587/15108660000,7/3,166493144567/75543300000;-314357658583
169;0,14;1/3,1;-1
170;1,4,14;65418215809/18885825000,19/3,166493144567/75543300000;-316818927247
171;1,4,14;24020123423/4721456250,5/3,166493144567/75543300000;-2543718927247
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;725/168,13/6,121/112;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;1174480148336,49014024165825426225000,10538284620777,9464
4;1,4,6,3;1174480148336,27049686967981022940000,813008824476,12880
5;5,4,2,3;813008824476,69567833913435309060000,54724933702608,111888
12;1,4,6,3;1174480148336,27049686967981022940000,813008824476,12880
13;5,4,2,3;813008824476,69567833913435309060000,54724933702608,111888
16;1,4,6,3;1174480148336,164191575266627131125000,34929236238381,7910
17;5,4,2,3;34929236238381,15527314419656893875000,54724933702608,4494
19;1,4,8,3;1174480148336,27049686967981022940000,813008824476,12880
23;7,4,8,3;813008824476,42511440947921890245000,34929236238381,32970
24;1,4,8,3;1174480148336,27049686967981022940000,813008824476,12880
25;7,4,2,3;10538284620777,12810888351431378775000,54724933702608,9240
28;7,4,8,3;813008824476,42511440947921890245000,34929236238381,32970
31;1,4,11,3;1174480148336,27049686967981022940000,813008824476,12880
35;10,4,11,3;813008824476,42511440947921890245000,34929236238381,32970
36;1,4,11,3;1174480148336,27049686967981022940000,813008824476,12880
37;10,4,2,3;10538284620777,12810888351431378775000,54724933702608,9240
40;10,4,11,3;813008824476,42511440947921890245000,34929236238381,32970
44;1,4,14,3;1174480148336,27049686967981022940000,813008824476,12880
48;1,4,14,3;1174480148336,27049686967981022940000,813008824476,12880
50;1,4,14,3;1174480148336,164191575266627131125000,34929236238381,7910
51;1,4,14,3;1174480148336,49014024165825426225000,10538284620777,9464
53;13,4,2,3;813008824476,69567833913435309060000,54724933702608,111888
57;13,4,2,3;813008824476,69567833913435309060000,54724933702608,111888
59;13,4,2,3;34929236238381,15527314419656893875000,54724933702608,4494
61;1,4,6,3;1174480148336,973793656650852450000,572373880626,56
65;1,4,9,3;1174480148336,78422438665320681960000,367346424135024,37856
71;7,4,2,3;367346424135024,22094711816483318040000,60285313748336,18592
73;1,4,12,3;1174480148336,78422438665320681960000,367346424135024,37856
75;10,4,2,3;367346424135024,22094711816483318040000,60285313748336,18592
76;1,4,6,3;1174480148336,33568660295813565562500,15768213045939,3206
77;5,4,2,3;15768213045939,14303350822630184437500,60285313748336,3850
83;1,4,8,3;1174480148336,33568660295813565562500,15768213045939,3206
85;7,4,12,3;572373880626,30652965574571829510000,367346424135024,56280
87;10,4,2,3;367346424135024,22094711816483318040000,60285313748336,18592
88;1,4,8,3;1174480148336,33568660295813565562500,15768213045939,3206
95;1,4,11,3;1174480148336,33568660295813565562500,15768213045939,3206
97;10,4,9,3;572373880626,30652965574571829510000,367346424135024,56280
99;7,4,2,3;367346424135024,22094711816483318040000,60285313748336,18592
100;1,4,11,3;1174480148336,33568660295813565562500,15768213045939,3206
110;1,4,14,3;1174480148336,33568660295813565562500,15768213045939,3206
111;1,4,14,3;1174480148336,973793656650852450000,572373880626,56
113;1,4,9,3;1174480148336,78422438665320681960000,367346424135024,37856
116;7,4,2,3;367346424135024,22094711816483318040000,60285313748336,18592
117;1,4,12,3;1174480148336,78422438665320681960000,367346424135024,37856
118;10,4,2,3;367346424135024,22094711816483318040000,60285313748336,18592
119;13,4,2,3;15768213045939,14303350822630184437500,60285313748336,3850
125;1,4,9,3;1174480148336,779034925320681960000,14149531027224,224
131;7,4,2,3;14149531027224,21967126151320352520000,25641707919568,28000
133;1,4,12,3;1174480148336,779034925320681960000,14149531027224,224
135;10,4,2,3;14149531027224,21967126151320352520000,25641707919568,28000
137;1,4,2,3;1174480148336,48527127337500000000000,25641707919568,3136
145;1,4,12,3;1174480148336,779034925320681960000,14149531027224,224
147;10,4,2,3;14149531027224,21967126151320352520000,25641707919568,28000
157;1,4,9,3;1174480148336,779034925320681960000,14149531027224,224
159;7,4,2,3;14149531027224,21967126151320352520000,25641707919568,28000
173;1,4,9,3;1174480148336,779034925320681960000,14149531027224,224
176;7,4,2,3;14149531027224,21967126151320352520000,25641707919568,28000
177;1,4,12,3;1174480148336,779034925320681960000,14149531027224,224
178;10,4,2,3;14149531027224,21967126151320352520000,25641707919568,28000
179;1,4,2,3;1174480148336,48527127337500000000000,25641707919568,3136
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
5:V/3,5/6/0/6;V/2,3/10/0/20;E/4,5/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
12:V/3,1/5/0/1;V/6,3/6/0/6;E/4,1/7/0/1;E/4,6/8/0/6;E/4,3/9/1/6
13:V/3,5/6/0/6;V/2,3/10/0/20;E/4,5/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
16:V/3,1/13/0/1;V/6,3/14/0/14;E/4,1/15/0/1;E/4,6/16/0/14;E/4,3/17/1/14
17:V/3,5/14/0/14;V/2,3/18/0/20;E/4,5/16/0/14;E/4,2/19/0/20;E/4,3/20/14/20
19:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
23:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
24:V/3,1/0/0/1;V/8,3/6/0/6;E/4,1/2/0/1;E/4,8/8/0/6;E/4,3/4/1/6
25:V/3,7/1/0/12;V/2,3/21/0/20;E/4,7/3/0/12;E/4,2/22/0/20;E/4,3/23/12/20
28:V/3,7/6/0/6;V/8,3/14/0/14;E/4,7/8/0/6;E/4,8/16/0/14;E/4,3/12/6/14
31:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
35:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
36:V/3,1/0/0/1;V/11,3/6/0/6;E/4,1/2/0/1;E/4,11/8/0/6;E/4,3/4/1/6
37:V/3,10/1/0/12;V/2,3/21/0/20;E/4,10/3/0/12;E/4,2/22/0/20;E/4,3/23/12/20
40:V/3,10/6/0/6;V/11,3/14/0/14;E/4,10/8/0/6;E/4,11/16/0/14;E/4,3/12/6/14
44:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
48:V/3,1/5/0/1;V/14,3/6/0/6;E/4,1/7/0/1;E/4,14/8/0/6;E/4,3/9/1/6
50:V/3,1/13/0/1;V/14,3/14/0/14;E/4,1/15/0/1;E/4,14/16/0/14;E/4,3/17/1/14
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/6;V/2,3/10/0/20;E/4,13/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
57:V/3,13/6/0/6;V/2,3/10/0/20;E/4,13/8/0/6;E/4,2/11/0/20;E/4,3/12/6/20
59:V/3,13/14/0/14;V/2,3/18/0/20;E/4,13/16/0/14;E/4,2/19/0/20;E/4,3/20/14/20
61:V/3,1/24/0/1;V/6,3/25/0/2;E/4,1/26/0/1;E/4,6/27/0/2;E/4,3/28/1/2
65:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
71:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
73:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
75:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
76:V/3,1/37/0/1;V/6,3/38/0/18;E/4,1/39/0/1;E/4,6/40/0/18;E/4,3/41/1/18
77:V/3,5/38/0/18;V/2,3/42/0/45;E/4,5/40/0/18;E/4,2/43/0/45;E/4,3/44/18/45
83:V/3,1/29/0/1;V/8,3/38/0/18;E/4,1/31/0/1;E/4,8/40/0/18;E/4,3/33/1/18
85:V/3,7/25/0/2;V/12,3/45/0/27;E/4,7/27/0/2;E/4,12/46/0/27;E/4,3/47/2/27
87:V/3,10/45/0/27;V/2,3/48/0/45;E/4,10/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
88:V/3,1/29/0/1;V/8,3/38/0/18;E/4,1/31/0/1;E/4,8/40/0/18;E/4,3/33/1/18
95:V/3,1/29/0/1;V/11,3/38/0/18;E/4,1/31/0/1;E/4,11/40/0/18;E/4,3/33/1/18
97:V/3,10/25/0/2;V/9,3/45/0/27;E/4,10/27/0/2;E/4,9/46/0/27;E/4,3/47/2/27
99:V/3,7/45/0/27;V/2,3/48/0/45;E/4,7/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
100:V/3,1/29/0/1;V/11,3/38/0/18;E/4,1/31/0/1;E/4,11/40/0/18;E/4,3/33/1/18
110:V/3,1/37/0/1;V/14,3/38/0/18;E/4,1/39/0/1;E/4,14/40/0/18;E/4,3/41/1/18
111:V/3,1/24/0/1;V/14,3/25/0/2;E/4,1/26/0/1;E/4,14/27/0/2;E/4,3/28/1/2
113:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
116:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
117:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
118:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
119:V/3,13/38/0/18;V/2,3/42/0/45;E/4,13/40/0/18;E/4,2/43/0/45;E/4,3/44/18/45
125:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
131:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
133:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
135:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/3;E/4,1/66/0/1;E/4,12/67/0/3;E/4,3/68/1/3
147:V/3,10/65/0/3;V/2,3/69/0/31;E/4,10/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
157:V/3,1/64/0/1;V/9,3/65/0/3;E/4,1/66/0/1;E/4,9/67/0/3;E/4,3/68/1/3
159:V/3,7/65/0/3;V/2,3/69/0/31;E/4,7/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
173:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
176:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
177:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
178:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;18775599/50000000,1883153/5000000;4,3755,0,1564,6027,6027,4446;10,3766306000,0,1566295628,6036258671,6036258671,519262713134
1;C;0,3;37523771/100000000;4,3752,0,0,6027,6027,2390542;4,3752,0,0,6040,6040,2076800
1;C;3,4;37106823/100000000;4,3710,0,0,6040,6040,1236800;4,3710,0,0,6052,6052,946592
1;C;4,5;36931113/100000000;4,3693,0,0,6052,6052,606592;4,3693,0,0,6077,6077,142
1;L;5,6;36931113/100000000,36937627/100000000;4,3693,0,0,6077,6077,142;6,369376,0,0,607761,607761,5133758
1;L;6,7;36937627/100000000,9308601/25000000;6,369376,0,0,607761,607761,5133758;8,37234404,0,0,61020000,61020000,0
1;L;7,8;9308601/25000000,37540129/100000000;8,37234404,0,0,61020000,61020000,0;8,37540129,0,0,61270000,61270000,0
1;L;8,9;37540129/100000000,591361/1562500;8,37540129,0,0,61270000,61270000,0;8,37847104,0,0,61520000,61520000,0
1;L;9,10;591361/1562500,38155329/100000000;8,37847104,0,0,61520000,61520000,0;8,38155329,0,0,61770000,61770000,0
1;L;10,11;38155329/100000000,9616201/25000000;8,38155329,0,0,61770000,61770000,0;8,38464804,0,0,62020000,62020000,0
1;L;11,12;9616201/25000000,9641763/25000000;8,38464804,0,0,62020000,62020000,0;10,3856705200,0,0,6210237654,6210237654,561681152568
2;L;0,1;18775599/50000000,1883153/5000000;8,37551198,0,60270000,60270000,15661855,97958975;10,3766306000,0,6036258671,6036258671,1566295628,519262713134
3;C;0,3;37523771/100000000;4,3752,0,0,6027,6027,2390542;4,3752,0,0,6040,6040,2076800
3;C;3,4;37106823/100000000;4,3710,0,0,6040,6040,1236800;4,3710,0,0,6052,6052,946592
3;C;4,5;36931113/100000000;4,3693,0,0,6052,6052,606592;4,3693,0,0,6077,6077,142
3;L;5,6;36931113/100000000,36937627/100000000;4,3693,0,0,6077,6077,142;6,369376,0,0,607761,607761,5133758
3;L;6,7;36937627/100000000,9308601/25000000;6,369376,0,0,607761,607761,5133758;8,37234404,0,0,61020000,61020000,0
3;L;7,8;9308601/25000000,37540129/100000000;8,37234404,0,0,61020000,61020000,0;8,37540129,0,0,61270000,61270000,0
3;L;8,9;37540129/100000000,591361/1562500;8,37540129,0,0,61270000,61270000,0;8,37847104,0,0,61520000,61520000,0
3;L;9,10;591361/1562500,38155329/100000000;8,37847104,0,0,61520000,61520000,0;8,38155329,0,0,61770000,61770000,0
3;L;10,11;38155329/100000000,9616201/25000000;8,38155329,0,0,61770000,61770000,0;8,38464804,0,0,62020000,62020000,0
3;L;11,12;9616201/25000000,9641763/25000000;8,38464804,0,0,62020000,62020000,0;10,3856705200,0,0,6210237654,6210237654,561681152568
4;L;1,2;1883153/5000000,1501547/4000000;10,3766306000,6036258671,6036258671,0,1566295628,519262713134;10,3753867500,6039064964,6039064964,0,1461758712,189067458464
4;L;2,3;1501547/4000000,37523771/100000000;10,3753867500,6039064964,6039064964,0,1461758712,189067458464;10,3752377100,6039418754,6039418754,0,1448579739,967424866847
4;L;3,4;37523771/100000000,37106823/100000000;10,3752377100,6039418754,6039418754,0,1448579739,967424866847;8,37106823,60520000,60520000,0,9799171,47712759
4;L;4,5;37106823/100000000,36931113/100000000;8,37106823,60520000,60520000,0,9799171,47712759;8,36931113,60770000,60770000,0,486448,168343296
4;L;5,6;36931113/100000000,36937627/100000000;8,36931113,60770000,60770000,0,486448,168343296;8,36937627,60776053,60776053,0,260989,48224261
4;L;6,7;36937627/100000000,9308601/25000000;8,36937627,60776053,60776053,0,260989,48224261;8,37234404,61020000,61020000,0,0,0
4;L;7,8;9308601/25000000,37540129/100000000;8,37234404,61020000,61020000,0,0,0;8,37540129,61270000,61270000,0,0,0
4;L;8,9;37540129/100000000,591361/1562500;8,37540129,61270000,61270000,0,0,0;8,37847104,61520000,61520000,0,0,0
4;L;9,10;591361/1562500,38155329/100000000;8,37847104,61520000,61520000,0,0,0;8,38155329,61770000,61770000,0,0,0
4;L;10,11;38155329/100000000,9616201/25000000;8,38155329,61770000,61770000,0,0,0;8,38464804,62020000,62020000,0,0,0
4;L;11,12;9616201/25000000,9641763/25000000;8,38464804,62020000,62020000,0,0,0;10,3856705200,6210237654,6210237654,0,0,561681152568
5;C;0,1;18775599/50000000;4,3755,0,32,6027,6027,2449518;4,3755,0,32,6037,6037,2208238
6;C;0,3;37523771/100000000;4,3752,0,26,6027,6027,2389866;4,3752,0,26,6040,6040,2076124
6;C;3,4;37106823/100000000;4,3710,0,26,6040,6040,1236124;4,3710,0,26,6052,6052,945916
6;C;4,5;36931113/100000000;4,3693,0,26,6052,6052,605916;6,369311,0,2610,607700,607700,16607900
6;L;5,6;36931113/100000000,36937627/100000000;6,369311,0,2610,607700,607700,16607900;8,36937627,0,260989,60776053,60776053,48224261
7;C;0,1;18775599/50000000;4,3755,5,6027,6027,0,2450517;4,3755,32,6037,6037,0,2208238
8;C;0,3;37523771/100000000;4,3752,0,0,6027,6027,2390542;4,3752,0,0,6040,6040,2076800
8;C;3,4;37106823/100000000;4,3710,0,0,6040,6040,1236800;4,3710,0,0,6052,6052,946592
8;C;4,5;36931113/100000000;4,3693,0,0,6052,6052,606592;6,369311,0,2414,607700,607700,17592604
8;L;5,6;36931113/100000000,36937627/100000000;6,369311,0,2414,607700,607700,17592604;8,36937627,0,260989,60776053,60776053,48224261
9;C;1,3;37523771/100000000;4,3752,6037,6037,32,0,2148238;4,3752,6040,6040,32,0,2075776
9;C;3,4;37106823/100000000;4,3710,6040,6040,32,0,1235776;4,3710,6052,6052,30,0,945692
9;C;4,5;36931113/100000000;4,3693,6052,6052,30,0,605692;6,369311,607700,607700,2619,0,16560839
9;L;5,6;36931113/100000000,36937627/100000000;6,369311,607700,607700,2619,0,16560839;8,36937627,60776053,60776053,260989,0,48224261
10;C;0,20;1054873/4000000;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
11;C;0,20;1054873/4000000;2,26,0,0,61,0,1479;2,26,0,0,64,0,1104
12;C;6,9;36937627/100000000;8,36937627,60776053,260989,0,60776053,48224261;2,36,62,1,0,34,2199
12;C;9,13;18082077/50000000;2,36,62,1,0,34,2199;2,36,63,1,0,7,3181
12;C;13,20;1054873/4000000;2,26,63,1,0,7,1181;2,26,64,0,0,0,1104
13;C;0,1;18775599/50000000;2,37,1,1,46,61,1561;2,37,1,1,46,61,1561
14;C;0,14;1683693/5000000;2,33,0,1,1,61,2877;2,33,0,1,1,63,2629
15;C;0,1;18775599/50000000;2,37,1,1,61,47,1468;2,37,1,1,61,46,1561
16;C;0,14;1683693/5000000;2,33,0,0,0,61,2879;2,33,0,1,1,63,2629
17;C;1,14;1683693/5000000;2,33,61,1,1,46,761;2,33,63,1,1,0,2629
18;C;0,20;1054873/4000000;2,26,0,0,0,32,4176;2,26,0,0,0,34,4044
19;C;0,20;1054873/4000000;2,26,0,0,0,46,3084;2,26,0,0,0,34,4044
20;C;14,20;1054873/4000000;2,26,1,1,0,63,1229;2,26,0,0,0,34,4044
21;C;0,20;1054873/4000000;2,26,0,0,31,61,518;2,26,0,0,33,64,15
22;C;0,20;1054873/4000000;2,26,0,0,61,36,183;2,26,0,0,64,33,15
23;L;12,13;9641763/25000000,18082077/50000000;10,3856705200,6210237654,0,0,6210237654,561681152568;8,36164154,62270000,0,0,57924760,78942400
23;L;13,14;18082077/50000000,1683693/5000000;8,36164154,62270000,0,0,57924760,78942400;8,33673860,62458259,0,0,53232864,73046423
23;L;14,15;1683693/5000000,32905153/100000000;8,33673860,62458259,0,0,53232864,73046423;10,3290515300,6252000000,0,0,5169410202,163458319196
23;L;15,16;32905153/100000000,30034989/100000000;10,3290515300,6252000000,0,0,5169410202,163458319196;8,30034989,62770000,0,0,45463445,68731975
23;L;16,17;30034989/100000000,27553661/100000000;8,30034989,62770000,0,0,45463445,68731975;8,27553661,63020000,0,0,39232788,145747056
23;L;17,18;27553661/100000000,13624243/50000000;8,27553661,63020000,0,0,39232788,145747056;10,2724848600,6305374831,0,0,3839169122,693273470555
23;L;18,19;13624243/50000000,6606493/25000000;10,2724848600,6305374831,0,0,3839169122,693273470555;4,2642,6327,0,0,3301,1912470
23;C;19,20;1054873/4000000;4,2637,6327,0,0,3301,1812470;2,26,64,0,0,33,15
24;C;0,1;18775599/50000000;4,3755,0,0,6027,6027,2450542;4,3755,0,0,6037,6037,2209262
25;C;0,2;1501547/4000000;4,3753,0,0,6027,6027,2410542;4,3753,0,0,6040,6040,2096800
26;C;0,1;18775599/50000000;4,3755,0,0,6027,6027,2450542;4,3755,0,0,6037,6037,2209262
27;C;0,2;1501547/4000000;4,3753,0,0,6027,6027,2410542;4,3753,0,0,6040,6040,2096800
28;C;1,2;1501547/4000000;4,3753,6037,6037,0,0,2169262;4,3753,6040,6040,0,0,2096800
29;C;0,1;18775599/50000000;2,37,0,1,31,61,2717;2,37,0,1,31,61,2717
30;C;0,27;5865483/25000000;2,23,0,0,1,61,878;2,23,0,0,1,65,374
31;C;0,1;18775599/50000000;2,37,0,0,61,31,2718;2,37,1,0,61,31,2717
32;C;0,27;5865483/25000000;2,23,0,0,0,61,879;2,23,0,1,0,65,374
33;C;1,27;5865483/25000000;4,2346,6037,14,0,3079,994194;2,23,65,1,0,0,374
34;C;0,45;7871653/100000000;2,7,0,0,0,25,775;2,7,0,0,0,29,559
35;C;0,45;7871653/100000000;2,7,0,0,0,37,31;2,7,0,0,0,29,559
36;C;27,29;4290601/20000000;4,2145,1,0,0,6490,779899;2,21,0,0,0,62,356
36;C;29,31;19353779/100000000;4,1935,0,0,0,6153,840591;2,19,0,0,0,58,436
36;C;31,33;8892357/50000000;2,17,0,0,0,58,36;2,17,0,0,0,55,375
36;C;33,34;3333073/20000000;2,16,0,0,0,55,175;2,16,0,0,0,53,391
36;C;34,36;1458179/10000000;4,1458,0,0,0,5255,1544975;2,14,0,0,0,49,399
36;C;36,38;6352523/50000000;4,1270,0,0,0,4806,2302364;2,12,0,0,0,44,464
36;C;38,40;11035133/100000000;2,11,0,0,0,44,264;2,11,0,0,0,40,600
36;C;40,45;7871653/100000000;4,787,0,0,0,3908,467536;2,7,0,0,0,29,559
37;C;0,1;18775599/50000000;2,37,1,1,1,61,3676;2,37,1,1,1,61,3676
38;C;0,18;13624243/50000000;2,27,0,1,1,61,1677;2,27,0,1,1,64,1302
39;C;0,1;18775599/50000000;2,37,0,0,61,2,3675;2,37,1,1,61,1,3676
40;C;0,18;13624243/50000000;2,27,0,0,0,61,1679;2,27,0,1,1,64,1302
41;C;1,18;13624243/50000000;2,27,61,1,1,1,1676;2,27,64,1,1,0,1302
42;C;0,45;7871653/100000000;2,7,0,0,0,2,1396;2,7,0,0,0,2,1396
43;C;0,45;7871653/100000000;2,7,0,0,0,37,31;2,7,0,0,0,2,1396
44;C;18,24;761593/3125000;2,24,1,1,0,64,702;2,24,1,1,0,51,2197
44;C;24,31;19353779/100000000;2,19,1,1,0,51,1197;2,19,0,0,0,36,2504
44;C;31,45;7871653/100000000;2,7,0,0,0,36,104;2,7,0,0,0,2,1396
45;C;0,27;5865483/25000000;2,23,0,0,21,61,438;10,2346193200,0,0,2193243241,6489495145,848829244894
46;C;0,27;5865483/25000000;2,23,0,0,18,61,555;10,2346193200,0,0,2193243241,6489495145,848829244894
47;C;2,8;36931113/100000000;4,3693,6040,0,0,6040,896800;2,36,62,0,0,53,547
47;C;8,14;1683693/5000000;4,3367,6127,0,0,5289,1826350;2,33,63,0,0,43,782
47;C;14,15;32905153/100000000;2,32,63,0,0,43,582;2,32,63,0,0,43,582
47;C;15,16;30034989/100000000;2,30,63,0,0,43,182;2,30,63,0,0,41,350
47;L;16,17;30034989/100000000,27553661/100000000;2,30,63,0,0,41,350;4,2755,6302,0,0,3795,982771
47;C;17,18;13624243/50000000;4,2724,6302,0,0,3795,362771;4,2724,6306,0,0,3766,531608
47;L;18,19;13624243/50000000,6606493/25000000;4,2724,6306,0,0,3766,531608;10,2642597200,6327000000,0,0,3580644404,652103484784
47;L;19,20;6606493/25000000,1054873/4000000;10,2642597200,6327000000,0,0,3580644404,652103484784;8,26371825,63292411,0,0,35615104,76876263
47;L;20,21;1054873/4000000,12921471/50000000;8,26371825,63292411,0,0,35615104,76876263;8,25842942,63520000,0,0,33671917,5545111
47;L;21,22;12921471/50000000,253061/1000000;8,25842942,63520000,0,0,33671917,5545111;8,25306100,63770000,0,0,31537390,131987900
47;L;22,23;253061/1000000,6203861/25000000;8,25306100,63770000,0,0,31537390,131987900;8,24815444,64020000,0,0,29402863,47403231
47;L;23,24;6203861/25000000,761593/3125000;8,24815444,64020000,0,0,29402863,47403231;8,24370976,64270000,0,0,27268336,151791104
47;L;24,25;761593/3125000,11986347/50000000;8,24370976,64270000,0,0,27268336,151791104;8,23972694,64520000,0,0,25133809,45151519
47;L;25,26;11986347/50000000,118103/500000;8,23972694,64520000,0,0,25133809,45151519;8,23620600,64770000,0,0,22999282,127484476
47;L;26,27;118103/500000,5865483/25000000;8,23620600,64770000,0,0,22999282,127484476;10,2346193200,6489495145,0,0,2193243241,848829244894
48;C;0,45;7871653/100000000;2,7,0,0,25,25,150;10,787165300,0,0,2781040006,2830039282,147364444440
49;C;0,22;253061/1000000;2,25,0,0,20,37,3231;2,25,0,0,23,34,3315
49;C;22,33;8892357/50000000;2,17,0,0,23,34,1715;2,17,0,0,25,32,1751
49;C;33,39;2961059/25000000;2,11,0,0,25,32,551;2,11,0,0,27,30,571
49;C;39,42;191441/2000000;2,9,0,0,27,30,171;2,9,0,0,28,29,175
49;C;42,43;891807/10000000;4,891,0,0,2712,2899,2060855;4,891,0,0,2737,2875,2063206
49;C;43,44;8315797/100000000;4,831,0,0,2737,2875,863206;4,831,0,0,2762,2850,868856
49;L;44,45;8315797/100000000,7871653/100000000;4,831,0,0,2762,2850,868856;10,787165300,0,0,2781040006,2830039282,147364444440
50;L;27,28;5865483/25000000,4555837/20000000;10,2346193200,2193243241,0,0,6489495145,848829244894;8,22779185,22112816,0,0,63771940,37186544
50;L;28,29;4555837/20000000,4290601/20000000;8,22779185,22112816,0,0,63771940,37186544;10,2145300500,2247344086,0,0,6152678633,198146075915
50;L;29,30;4290601/20000000,10089267/50000000;10,2145300500,2247344086,0,0,6152678633,198146075915;8,20178534,22834067,0,0,59281634,54529555
50;L;30,31;10089267/50000000,19353779/100000000;8,20178534,22834067,0,0,59281634,54529555;8,19353779,23075623,0,0,57777776,23655695
50;L;31,32;19353779/100000000,1895577/10000000;8,19353779,23075623,0,0,57777776,23655695;8,18955770,23194693,0,0,57036481,51772390
50;L;32,33;1895577/10000000,8892357/50000000;8,18955770,23194693,0,0,57036481,51772390;8,17784714,23555318,0,0,54791329,60332635
50;L;33,34;8892357/50000000,3333073/20000000;8,17784714,23555318,0,0,54791329,60332635;8,16665365,23915944,0,0,52546176,10365888
50;L;34,35;3333073/20000000,3899431/25000000;8,16665365,23915944,0,0,52546176,10365888;8,15597724,24276569,0,0,50301023,82741710
50;L;35,36;3899431/25000000,1458179/10000000;8,15597724,24276569,0,0,50301023,82741710;10,1458179000,2463719453,0,0,4805587003,13506858782
50;L;36,37;1458179/10000000,2723513/20000000;10,1458179000,2463719453,0,0,4805587003,13506858782;8,13617565,24997821,0,0,45810718,61576435
50;L;37,38;2723513/20000000,6352523/50000000;8,13617565,24997821,0,0,45810718,61576435;10,1270504600,2535844575,0,0,4356556460,102275337775
50;L;38,39;6352523/50000000,2961059/25000000;10,1270504600,2535844575,0,0,4356556460,102275337775;8,11844236,25719072,0,0,41320412,87609072
50;L;39,40;2961059/25000000,11035133/100000000;8,11844236,25719072,0,0,41320412,87609072;8,11035133,26079697,0,0,39075260,60320591
50;L;40,41;11035133/100000000,10277737/100000000;8,11035133,26079697,0,0,39075260,60320591;10,1027773700,2644032258,0,0,3683010644,14838126700
50;L;41,42;10277737/100000000,191441/2000000;10,1027773700,2644032258,0,0,3683010644,14838126700;8,9572050,26800949,0,0,34584954,89517283
50;L;42,43;191441/2000000,891807/10000000;8,9572050,26800949,0,0,34584954,89517283;8,8918070,27161574,0,0,32339802,104443320
50;L;43,44;891807/10000000,8315797/100000000;8,8918070,27161574,0,0,32339802,104443320;8,8315797,27522200,0,0,30094649,8726799
50;L;44,45;8315797/100000000,7871653/100000000;8,8315797,27522200,0,0,30094649,8726799;10,787165300,2781040006,0,0,2830039282,147364444440
51;C;0,1;18775599/50000000;2,37,0,0,1,61,3678;2,37,0,0,1,61,3678
52;C;0,3;37523771/100000000;2,37,0,0,1,61,3678;2,37,0,0,1,61,3678
53;C;0,1;18775599/50000000;2,37,0,0,61,0,3679;2,37,1,0,61,0,3678
54;C;0,3;37523771/100000000;2,37,0,0,0,61,3679;2,37,1,0,0,61,3678
55;C;1,3;37523771/100000000;2,37,61,1,0,0,3678;2,37,61,1,0,0,3678
56;C;0,31;19353779/100000000;2,19,0,0,0,20,3400;2,19,0,0,0,21,3359
57;C;0,31;19353779/100000000;2,19,0,0,0,27,3071;2,19,0,0,0,21,3359
58;C;3,31;19353779/100000000;2,19,1,0,0,61,78;2,19,0,0,0,21,3359
59;C;0,1;18775599/50000000;2,37,0,1,1,46,5282;2,37,0,1,1,47,5189
60;C;0,31;19353779/100000000;2,19,0,0,0,2,3796;2,19,0,0,0,2,3796
61;C;0,1;18775599/50000000;2,37,0,0,0,47,5191;2,37,1,1,0,47,5189
62;C;0,31;19353779/100000000;2,19,0,0,0,23,3271;2,19,0,0,0,2,3796
63;C;1,31;19353779/100000000;2,19,1,1,0,47,1589;2,19,0,0,0,2,3796
64;C;0,1;18775599/50000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
65;C;0,3;37523771/100000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
66;C;0,1;18775599/50000000;2,37,0,0,61,16,3423;2,37,0,0,61,16,3423
67;C;0,3;37523771/100000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
68;C;1,3;37523771/100000000;2,37,61,0,0,16,3423;2,37,61,0,0,16,3423
69;C;0,31;19353779/100000000;2,19,0,0,19,20,3039;2,19,0,0,21,21,2918
70;C;0,31;19353779/100000000;2,19,0,0,15,27,2846;2,19,0,0,21,21,2918
71;C;3,17;27553661/100000000;2,27,16,0,0,61,1423;2,27,18,0,0,41,3395
71;C;17,31;19353779/100000000;2,19,18,0,0,41,1795;2,19,21,0,0,21,2918
MASS SLACK NUMERATOR 20856498992390623001743446418291020083263734912272347454775232040362910216612008531769946432049203527888090414850333877376093
BIN 37: PATH2; (149/112,895/672]; gamma0=1507/2500; mass ceiling=19930223/20000000.
GAMMA 0=1507/2500;1=100611984375/166774394567;2=100499568750/166549563317;3=402148162500/666426981593;4=6053/10000;5=1405644975000/2314603951997;6=3039/5000;7=6103/10000;8=383/625;9=6153/10000;10=3089/5000;11=6203/10000;12=501823350000/808970470711;13=1557/2500;14=467649000000/749746322161;15=6253/10000;16=3139/5000;17=83637225000/132824875817;18=6303/10000;19=50249784375/79496701967;20=791/1250;21=6353/10000;22=3189/5000;23=6403/10000;24=1607/2500;25=6453/10000;26=3239/5000;27=75355940625/116262307067;28=6503/10000;29=408/625;30=6553/10000;31=81726159375/124526804042;32=3289/5000;33=6603/10000;34=1657/2500;35=6653/10000;36=3339/5000;37=6703/10000;38=841/1250;39=6753/10000;40=3389/5000;41=6803/10000;42=1707/2500;43=6853/10000;44=3439/5000;45=62840334375/91231094567;46=6903/10000;47=433/625;48=6953/10000;49=3489/5000;50=7003/10000;51=1757/2500;52=7053/10000;53=3539/5000;54=7103/10000;55=891/1250;56=7153/10000;57=3589/5000;58=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37517636,37575809;1,2,37575809,37512652;2,3,37512652,37504787;3,4,37504787,36935505;4,5,36935505,36880679;5,6,36880679,36942084;6,7,36942084,37246609;7,8,37246609,37552384;8,9,37552384,37859409;9,10,37859409,38167684;10,11,38167684,38477209;11,12,38477209,38480118;12,13,38480118,34915892;13,14,34915892,33663781;14,15,33663781,31723067;15,16,31723067,28937295;16,17,28937295,27110150;17,18,27110150,26766974;18,19,26766974,26315968;19,20,26315968,26146830;20,21,26146830,25573817;21,22,25573817,25047933;22,23,25047933,24569180;23,24,24569180,24137557;24,25,24137557,23753064;25,26,23753064,23415700;26,27,23415700,23371674;27,28,23371674,22196394;28,29,22196394,20876000;29,30,20876000,19608449;30,31,19608449,19119289;31,32,19119289,18393739;32,33,18393739,17231872;33,34,17231872,16122846;34,35,16122846,15066662;35,36,15066662,14063321;36,37,14063321,13112821;37,38,13112821,12215163;38,39,12215163,11370347;39,40,11370347,10578373;40,41,10578373,9839241;41,42,9839241,9152951;42,43,9152951,8519502;43,44,8519502,7938896;44,45,7938896,7720616;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;144954971417/37771650000,1/3,166774394567/75543300000;-188376262612469
2;0,3,6;227/672,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;227/672,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;781/336,5/3,149/224;-113
10;0,6;1/3,1;-1
11;2,3,7;1339/672,4/3,149/224;-1
14;0,6;1/3,1;-1
15;2,3,10;1339/672,4/3,149/224;-1
18;1,4,8;123135548267/25181100000,1,166774394567/75543300000;-156899887612469
20;0,3,8;337/336,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;57677278817/12590550000,5,166774394567/75543300000;-15256200112469
26;0,8;1/3,1;-1
27;2,3,10;1339/672,4/3,149/224;-1
29;1,3,9;113/336,3,895/672;-113
30;1,4,11;123135548267/25181100000,1,166774394567/75543300000;-156899887612469
32;0,3,11;337/336,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;57677278817/12590550000,5,166774394567/75543300000;-15256200112469
38;0,11;1/3,1;-1
39;2,3,7;1339/672,4/3,149/224;-1
41;1,3,12;113/336,3,895/672;-113
42;1,4,14;144954971417/37771650000,1/3,166774394567/75543300000;-188376262612469
43;0,3,14;227/672,3,1;-2
45;0,3,14;227/672,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,7;1339/672,4/3,149/224;-1
56;2,3,7;1339/672,4/3,149/224;-1
58;2,3,10;1339/672,4/3,149/224;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;227/672,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
66;0,3,6;227/672,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
69;2,3,6;1117/336,5/3,559/672;-1
70;0,6;1/3,1;-1
72;1,4,6;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
80;0,3,8;337/336,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;66049994567/12590550000,4,166774394567/75543300000;-62470762612469
84;1,4,8;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
86;0,8;1/3,1;-1
89;1,3,9;113/336,3,895/672;-113
90;1,11;3,1;-2
91;1,4,11;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
92;0,3,11;337/336,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;66049994567/12590550000,4,166774394567/75543300000;-62470762612469
96;1,4,11;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
98;0,11;1/3,1;-1
101;1,3,12;113/336,3,895/672;-113
102;0,1,14;2/3,2,1;-1
103;0,3,14;227/672,3,1;-2
104;1,4,14;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
105;0,3,14;227/672,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;66049994567/15108660000,10/3,166774394567/75543300000;-41486512612469
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
115;2,3,14;1117/336,5/3,559/672;-1
120;0,1,6;5/3,2,1;-1
121;1,4,6;24090435923/4721456250,5/3,166774394567/75543300000;-93947137612469
122;0,3,6;227/672,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
126;0,3,6;227/672,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
129;2,3,6;1453/336,13/6,727/672;-1
130;0,6;1/3,1;-1
132;1,4,6;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
134;0,6;1/3,1;-1
136;1,4,6;65980715809/18885825000,19/3,166774394567/75543300000;-12108562612469
138;0,1,8;1,3,1;-2
139;1,4,8;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
140;0,3,8;337/336,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;82279213517/12590550000,3,166774394567/75543300000;-109685325112469
143;1,4,8;65980715809/18885825000,19/3,166774394567/75543300000;-12108562612469
144;1,4,8;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
146;0,8;1/3,1;-1
148;1,4,8;65980715809/18885825000,19/3,166774394567/75543300000;-12108562612469
149;1,3,9;113/336,3,895/672;-113
150;0,1,11;1,3,1;-2
151;1,4,11;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
152;0,3,11;337/336,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;82279213517/12590550000,3,166774394567/75543300000;-109685325112469
155;1,4,11;65980715809/18885825000,19/3,166774394567/75543300000;-12108562612469
156;1,4,11;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
158;0,11;1/3,1;-1
160;1,4,11;65980715809/18885825000,19/3,166774394567/75543300000;-12108562612469
161;1,3,12;113/336,3,895/672;-113
162;0,1,14;5/3,2,1;-1
163;0,3,14;227/672,3,1;-2
164;1,4,14;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
165;0,3,14;227/672,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;87912225587/15108660000,7/3,166774394567/75543300000;-104439262612469
169;0,14;1/3,1;-1
170;1,4,14;65980715809/18885825000,19/3,166774394567/75543300000;-12108562612469
171;1,4,14;24090435923/4721456250,5/3,166774394567/75543300000;-93947137612469
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
175;2,3,14;1453/336,13/6,727/672;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;135037274420832,162952241736931149825000,248079129469661,37744
4;1,4,6,3;135037274420832,972978246502482355380000,728119891534588,50848
5;5,4,2,3;728119891534588,2576726659152259408620000,1304336560403744,49952
12;1,4,6,3;135037274420832,972978246502482355380000,728119891534588,50848
13;5,4,2,3;728119891534588,2576726659152259408620000,1304336560403744,49952
16;1,4,6,3;135037274420832,5990086746109338240375000,824350642570833,1260
17;5,4,2,3;824350642570833,612522060825540434625000,1304336560403744,2044
19;1,4,8,3;135037274420832,972978246502482355380000,728119891534588,50848
23;7,4,8,3;728119891534588,1560125231231349264615000,824350642570833,14644
24;1,4,8,3;135037274420832,972978246502482355380000,728119891534588,50848
25;7,4,2,3;248079129469661,479178798095733086925000,1304336560403744,4144
28;7,4,8,3;728119891534588,1560125231231349264615000,824350642570833,14644
31;1,4,11,3;135037274420832,972978246502482355380000,728119891534588,50848
35;10,4,11,3;728119891534588,1560125231231349264615000,824350642570833,14644
36;1,4,11,3;135037274420832,972978246502482355380000,728119891534588,50848
37;10,4,2,3;248079129469661,479178798095733086925000,1304336560403744,4144
40;10,4,11,3;728119891534588,1560125231231349264615000,824350642570833,14644
44;1,4,14,3;135037274420832,972978246502482355380000,728119891534588,50848
48;1,4,14,3;135037274420832,972978246502482355380000,728119891534588,50848
50;1,4,14,3;135037274420832,5990086746109338240375000,824350642570833,1260
51;1,4,14,3;135037274420832,162952241736931149825000,248079129469661,37744
53;13,4,2,3;728119891534588,2576726659152259408620000,1304336560403744,49952
57;13,4,2,3;728119891534588,2576726659152259408620000,1304336560403744,49952
59;13,4,2,3;824350642570833,612522060825540434625000,1304336560403744,2044
61;1,4,6,3;135037274420832,18205458906235296150000,7244438775868,112
65;1,4,9,3;135037274420832,260723586779089839720000,26576030502062496,452928
71;7,4,2,3;26576030502062496,825475146618819763080000,13181667357620832,224448
73;1,4,12,3;135037274420832,260723586779089839720000,26576030502062496,452928
75;10,4,2,3;26576030502062496,825475146618819763080000,13181667357620832,224448
76;1,4,6,3;135037274420832,110151949400140374562500,62481822506467,4228
77;5,4,2,3;62481822506467,546733279236437129812500,13181667357620832,5180
83;1,4,8,3;135037274420832,110151949400140374562500,62481822506467,4228
85;7,4,12,3;7244438775868,1129727436951906940770000,26576030502062496,75152
87;10,4,2,3;26576030502062496,825475146618819763080000,13181667357620832,224448
88;1,4,8,3;135037274420832,110151949400140374562500,62481822506467,4228
95;1,4,11,3;135037274420832,110151949400140374562500,62481822506467,4228
97;10,4,9,3;7244438775868,1129727436951906940770000,26576030502062496,75152
99;7,4,2,3;26576030502062496,825475146618819763080000,13181667357620832,224448
100;1,4,11,3;135037274420832,110151949400140374562500,62481822506467,4228
110;1,4,14,3;135037274420832,110151949400140374562500,62481822506467,4228
111;1,4,14,3;135037274420832,18205458906235296150000,7244438775868,112
113;1,4,9,3;135037274420832,260723586779089839720000,26576030502062496,452928
116;7,4,2,3;26576030502062496,825475146618819763080000,13181667357620832,224448
117;1,4,12,3;135037274420832,260723586779089839720000,26576030502062496,452928
118;10,4,2,3;26576030502062496,825475146618819763080000,13181667357620832,224448
119;13,4,2,3;62481822506467,546733279236437129812500,13181667357620832,5180
125;1,4,9,3;135037274420832,14564367124988236920000,536732274631896,1344
131;7,4,2,3;536732274631896,814164893131031006040000,5595577594725216,337344
133;1,4,12,3;135037274420832,14564367124988236920000,536732274631896,1344
135;10,4,2,3;536732274631896,814164893131031006040000,5595577594725216,337344
137;1,4,2,3;135037274420832,1783371929653125000000000,5595577594725216,112896
145;1,4,12,3;135037274420832,14564367124988236920000,536732274631896,1344
147;10,4,2,3;536732274631896,814164893131031006040000,5595577594725216,337344
157;1,4,9,3;135037274420832,14564367124988236920000,536732274631896,1344
159;7,4,2,3;536732274631896,814164893131031006040000,5595577594725216,337344
173;1,4,9,3;135037274420832,14564367124988236920000,536732274631896,1344
176;7,4,2,3;536732274631896,814164893131031006040000,5595577594725216,337344
177;1,4,12,3;135037274420832,14564367124988236920000,536732274631896,1344
178;10,4,2,3;536732274631896,814164893131031006040000,5595577594725216,337344
179;1,4,2,3;135037274420832,1783371929653125000000000,5595577594725216,112896
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;3,1
25;61;V;6,3
26;61;E;4,1
27;61;E;4,6
28;61;E;4,3
29;65;V;3,1
30;65;V;9,3
31;65;E;4,1
32;65;E;4,9
33;65;E;4,3
34;71;V;2,3
35;71;E;4,2
36;71;E;4,3
37;76;V;3,1
38;76;V;6,3
39;76;E;4,1
40;76;E;4,6
41;76;E;4,3
42;77;V;2,3
43;77;E;4,2
44;77;E;4,3
45;85;V;12,3
46;85;E;4,12
47;85;E;4,3
48;87;V;2,3
49;87;E;4,2
50;87;E;4,3
51;125;V;3,1
52;125;V;9,3
53;125;E;4,1
54;125;E;4,9
55;125;E;4,3
56;131;V;2,3
57;131;E;4,2
58;131;E;4,3
59;137;V;3,1
60;137;V;2,3
61;137;E;4,1
62;137;E;4,2
63;137;E;4,3
64;145;V;3,1
65;145;V;12,3
66;145;E;4,1
67;145;E;4,12
68;145;E;4,3
69;147;V;2,3
70;147;E;4,2
71;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/12;E/4,1/2/0/1;E/4,6/3/0/12;E/4,3/4/1/12
4:V/3,1/5/0/1;V/6,3/6/0/5;E/4,1/7/0/1;E/4,6/8/0/5;E/4,3/9/1/5
5:V/3,5/6/0/5;V/2,3/10/0/19;E/4,5/8/0/5;E/4,2/11/0/19;E/4,3/12/5/19
12:V/3,1/5/0/1;V/6,3/6/0/5;E/4,1/7/0/1;E/4,6/8/0/5;E/4,3/9/1/5
13:V/3,5/6/0/5;V/2,3/10/0/19;E/4,5/8/0/5;E/4,2/11/0/19;E/4,3/12/5/19
16:V/3,1/13/0/1;V/6,3/14/0/14;E/4,1/15/0/1;E/4,6/16/0/14;E/4,3/17/1/14
17:V/3,5/14/0/14;V/2,3/18/0/19;E/4,5/16/0/14;E/4,2/19/0/19;E/4,3/20/14/19
19:V/3,1/0/0/1;V/8,3/6/0/5;E/4,1/2/0/1;E/4,8/8/0/5;E/4,3/4/1/5
23:V/3,7/6/0/5;V/8,3/14/0/14;E/4,7/8/0/5;E/4,8/16/0/14;E/4,3/12/5/14
24:V/3,1/0/0/1;V/8,3/6/0/5;E/4,1/2/0/1;E/4,8/8/0/5;E/4,3/4/1/5
25:V/3,7/1/0/12;V/2,3/21/0/19;E/4,7/3/0/12;E/4,2/22/0/19;E/4,3/23/12/19
28:V/3,7/6/0/5;V/8,3/14/0/14;E/4,7/8/0/5;E/4,8/16/0/14;E/4,3/12/5/14
31:V/3,1/0/0/1;V/11,3/6/0/5;E/4,1/2/0/1;E/4,11/8/0/5;E/4,3/4/1/5
35:V/3,10/6/0/5;V/11,3/14/0/14;E/4,10/8/0/5;E/4,11/16/0/14;E/4,3/12/5/14
36:V/3,1/0/0/1;V/11,3/6/0/5;E/4,1/2/0/1;E/4,11/8/0/5;E/4,3/4/1/5
37:V/3,10/1/0/12;V/2,3/21/0/19;E/4,10/3/0/12;E/4,2/22/0/19;E/4,3/23/12/19
40:V/3,10/6/0/5;V/11,3/14/0/14;E/4,10/8/0/5;E/4,11/16/0/14;E/4,3/12/5/14
44:V/3,1/5/0/1;V/14,3/6/0/5;E/4,1/7/0/1;E/4,14/8/0/5;E/4,3/9/1/5
48:V/3,1/5/0/1;V/14,3/6/0/5;E/4,1/7/0/1;E/4,14/8/0/5;E/4,3/9/1/5
50:V/3,1/13/0/1;V/14,3/14/0/14;E/4,1/15/0/1;E/4,14/16/0/14;E/4,3/17/1/14
51:V/3,1/0/0/1;V/14,3/1/0/12;E/4,1/2/0/1;E/4,14/3/0/12;E/4,3/4/1/12
53:V/3,13/6/0/5;V/2,3/10/0/19;E/4,13/8/0/5;E/4,2/11/0/19;E/4,3/12/5/19
57:V/3,13/6/0/5;V/2,3/10/0/19;E/4,13/8/0/5;E/4,2/11/0/19;E/4,3/12/5/19
59:V/3,13/14/0/14;V/2,3/18/0/19;E/4,13/16/0/14;E/4,2/19/0/19;E/4,3/20/14/19
61:V/3,1/24/0/1;V/6,3/25/0/2;E/4,1/26/0/1;E/4,6/27/0/2;E/4,3/28/1/2
65:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
71:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
73:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
75:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
76:V/3,1/37/0/1;V/6,3/38/0/17;E/4,1/39/0/1;E/4,6/40/0/17;E/4,3/41/1/17
77:V/3,5/38/0/17;V/2,3/42/0/45;E/4,5/40/0/17;E/4,2/43/0/45;E/4,3/44/17/45
83:V/3,1/29/0/1;V/8,3/38/0/17;E/4,1/31/0/1;E/4,8/40/0/17;E/4,3/33/1/17
85:V/3,7/25/0/2;V/12,3/45/0/27;E/4,7/27/0/2;E/4,12/46/0/27;E/4,3/47/2/27
87:V/3,10/45/0/27;V/2,3/48/0/45;E/4,10/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
88:V/3,1/29/0/1;V/8,3/38/0/17;E/4,1/31/0/1;E/4,8/40/0/17;E/4,3/33/1/17
95:V/3,1/29/0/1;V/11,3/38/0/17;E/4,1/31/0/1;E/4,11/40/0/17;E/4,3/33/1/17
97:V/3,10/25/0/2;V/9,3/45/0/27;E/4,10/27/0/2;E/4,9/46/0/27;E/4,3/47/2/27
99:V/3,7/45/0/27;V/2,3/48/0/45;E/4,7/46/0/27;E/4,2/49/0/45;E/4,3/50/27/45
100:V/3,1/29/0/1;V/11,3/38/0/17;E/4,1/31/0/1;E/4,11/40/0/17;E/4,3/33/1/17
110:V/3,1/37/0/1;V/14,3/38/0/17;E/4,1/39/0/1;E/4,14/40/0/17;E/4,3/41/1/17
111:V/3,1/24/0/1;V/14,3/25/0/2;E/4,1/26/0/1;E/4,14/27/0/2;E/4,3/28/1/2
113:V/3,1/29/0/1;V/9,3/30/0/27;E/4,1/31/0/1;E/4,9/32/0/27;E/4,3/33/1/27
116:V/3,7/30/0/27;V/2,3/34/0/45;E/4,7/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
117:V/3,1/29/0/1;V/12,3/30/0/27;E/4,1/31/0/1;E/4,12/32/0/27;E/4,3/33/1/27
118:V/3,10/30/0/27;V/2,3/34/0/45;E/4,10/32/0/27;E/4,2/35/0/45;E/4,3/36/27/45
119:V/3,13/38/0/17;V/2,3/42/0/45;E/4,13/40/0/17;E/4,2/43/0/45;E/4,3/44/17/45
125:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
131:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
133:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
135:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
137:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
145:V/3,1/64/0/1;V/12,3/65/0/3;E/4,1/66/0/1;E/4,12/67/0/3;E/4,3/68/1/3
147:V/3,10/65/0/3;V/2,3/69/0/31;E/4,10/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
157:V/3,1/64/0/1;V/9,3/65/0/3;E/4,1/66/0/1;E/4,9/67/0/3;E/4,3/68/1/3
159:V/3,7/65/0/3;V/2,3/69/0/31;E/4,7/67/0/3;E/4,2/70/0/31;E/4,3/71/3/31
173:V/3,1/51/0/1;V/9,3/52/0/3;E/4,1/53/0/1;E/4,9/54/0/3;E/4,3/55/1/3
176:V/3,7/52/0/3;V/2,3/56/0/31;E/4,7/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
177:V/3,1/51/0/1;V/12,3/52/0/3;E/4,1/53/0/1;E/4,12/54/0/3;E/4,3/55/1/3
178:V/3,10/52/0/3;V/2,3/56/0/31;E/4,10/54/0/3;E/4,2/57/0/31;E/4,3/58/3/31
179:V/3,1/59/0/1;V/2,3/60/0/31;E/4,1/61/0/1;E/4,2/62/0/31;E/4,3/63/1/31
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;9379409/25000000,37575809/100000000;6,375176,0,153559,602800,602800,35953519;10,3757580900,0,1536812257,6032819645,6032819645,348538713901
1;C;0,3;37504787/100000000;4,3750,0,0,6028,6028,2326432;4,3750,0,0,6035,6035,2157550
1;C;3,4;7387101/20000000;4,3693,0,0,6035,6035,1017550;4,3693,0,0,6053,6053,582382
1;C;4,5;36880679/100000000;4,3688,0,0,6053,6053,482382;8,36880679,0,0,60729395,60729395,16965867950
1;L;5,6;36880679/100000000,9235521/25000000;8,36880679,0,0,60729395,60729395,16965867950;8,36942084,0,0,60780000,60780000,0
1;L;6,7;9235521/25000000,37246609/100000000;8,36942084,0,0,60780000,60780000,0;8,37246609,0,0,61030000,61030000,0
1;L;7,8;37246609/100000000,146689/390625;8,37246609,0,0,61030000,61030000,0;8,37552384,0,0,61280000,61280000,0
1;L;8,9;146689/390625,37859409/100000000;8,37552384,0,0,61280000,61280000,0;8,37859409,0,0,61530000,61530000,0
1;L;9,10;37859409/100000000,9541921/25000000;8,37859409,0,0,61530000,61530000,0;8,38167684,0,0,61780000,61780000,0
1;L;10,11;9541921/25000000,38477209/100000000;8,38167684,0,0,61780000,61780000,0;8,38477209,0,0,62030000,62030000,0
1;L;11,12;38477209/100000000,19240059/50000000;8,38477209,0,0,62030000,62030000,0;10,3848011800,0,0,6203234459,6203234459,493349954638
2;L;0,1;9379409/25000000,37575809/100000000;8,37517636,0,60280000,60280000,15367836,16677104;10,3757580900,0,6032819645,6032819645,1536812257,348538713901
3;C;0,3;37504787/100000000;4,3750,0,0,6028,6028,2326432;4,3750,0,0,6035,6035,2157550
3;C;3,4;7387101/20000000;4,3693,0,0,6035,6035,1017550;4,3693,0,0,6053,6053,582382
3;C;4,5;36880679/100000000;4,3688,0,0,6053,6053,482382;8,36880679,0,0,60729395,60729395,16965867950
3;L;5,6;36880679/100000000,9235521/25000000;8,36880679,0,0,60729395,60729395,16965867950;8,36942084,0,0,60780000,60780000,0
3;L;6,7;9235521/25000000,37246609/100000000;8,36942084,0,0,60780000,60780000,0;8,37246609,0,0,61030000,61030000,0
3;L;7,8;37246609/100000000,146689/390625;8,37246609,0,0,61030000,61030000,0;8,37552384,0,0,61280000,61280000,0
3;L;8,9;146689/390625,37859409/100000000;8,37552384,0,0,61280000,61280000,0;8,37859409,0,0,61530000,61530000,0
3;L;9,10;37859409/100000000,9541921/25000000;8,37859409,0,0,61530000,61530000,0;8,38167684,0,0,61780000,61780000,0
3;L;10,11;9541921/25000000,38477209/100000000;8,38167684,0,0,61780000,61780000,0;8,38477209,0,0,62030000,62030000,0
3;L;11,12;38477209/100000000,19240059/50000000;8,38477209,0,0,62030000,62030000,0;10,3848011800,0,0,6203234459,6203234459,493349954638
4;L;1,2;37575809/100000000,9378163/25000000;10,3757580900,6032819645,6032819645,0,1536812257,348538713901;8,37512652,60342139,60342139,0,14838561,29258637
4;L;2,3;9378163/25000000,37504787/100000000;8,37512652,60342139,60342139,0,14838561,29258637;10,3750478700,6034391969,6034391969,0,1477092047,213625955869
4;L;3,4;37504787/100000000,7387101/20000000;10,3750478700,6034391969,6034391969,0,1477092047,213625955869;8,36935505,60530000,60530000,0,7703192,33011136
4;L;4,5;7387101/20000000,36880679/100000000;8,36935505,60530000,60530000,0,7703192,33011136;8,36880679,60729395,60729395,0,129746,131843434
4;L;5,6;36880679/100000000,9235521/25000000;8,36880679,60729395,60729395,0,129746,131843434;8,36942084,60780000,60780000,0,0,0
4;L;6,7;9235521/25000000,37246609/100000000;8,36942084,60780000,60780000,0,0,0;8,37246609,61030000,61030000,0,0,0
4;L;7,8;37246609/100000000,146689/390625;8,37246609,61030000,61030000,0,0,0;8,37552384,61280000,61280000,0,0,0
4;L;8,9;146689/390625,37859409/100000000;8,37552384,61280000,61280000,0,0,0;8,37859409,61530000,61530000,0,0,0
4;L;9,10;37859409/100000000,9541921/25000000;8,37859409,61530000,61530000,0,0,0;8,38167684,61780000,61780000,0,0,0
4;L;10,11;9541921/25000000,38477209/100000000;8,38167684,61780000,61780000,0,0,0;8,38477209,62030000,62030000,0,0,0
4;L;11,12;38477209/100000000,19240059/50000000;8,38477209,62030000,62030000,0,0,0;10,3848011800,6203234459,6203234459,0,0,493349954638
5;C;0,1;9379409/25000000;4,3751,0,16,6028,6028,2346176;4,3751,0,16,6033,6033,2225566
6;C;0,5;36880679/100000000;4,3688,0,13,6028,6028,1086263;8,36880679,0,129746,60729395,60729395,131843434
7;C;0,1;9379409/25000000;4,3751,2,6028,6028,0,2346428;4,3751,16,6033,6033,0,2225566
8;C;0,5;36880679/100000000;4,3688,0,0,6028,6028,1086432;8,36880679,0,129746,60729395,60729395,131843434
9;C;1,5;36880679/100000000;4,3688,6033,6033,16,0,965566;8,36880679,60729395,60729395,129746,0,131843434
10;C;0,19;411187/1562500;2,26,0,0,0,61,1479;2,26,0,0,0,64,1104
11;C;0,19;411187/1562500;2,26,0,0,61,0,1479;2,26,0,0,64,0,1104
12;C;5,12;36880679/100000000;8,36880679,60729395,129746,0,60729395,131843434;2,36,63,1,0,13,3061
12;C;12,19;411187/1562500;2,26,63,1,0,13,1061;2,26,64,0,0,0,1104
13;C;0,1;9379409/25000000;2,37,1,1,46,61,1561;2,37,1,1,46,61,1561
14;C;0,14;33663781/100000000;2,33,0,1,1,61,2877;2,33,0,1,1,63,2629
15;C;0,1;9379409/25000000;2,37,1,1,61,46,1561;2,37,1,1,61,46,1561
16;C;0,14;33663781/100000000;2,33,0,0,0,61,2879;2,33,0,1,1,63,2629
17;C;1,14;33663781/100000000;2,33,61,1,1,46,761;2,33,63,1,1,0,2629
18;C;0,19;411187/1562500;2,26,0,0,0,31,4239;2,26,0,0,0,33,4111
19;C;0,19;411187/1562500;2,26,0,0,0,45,3175;2,26,0,0,0,33,4111
20;C;14,19;411187/1562500;2,26,1,1,0,63,1229;2,26,0,0,0,33,4111
21;C;0,19;411187/1562500;2,26,0,0,31,61,518;2,26,0,0,33,64,15
22;C;0,19;411187/1562500;2,26,0,0,61,35,254;2,26,0,0,64,33,15
23;L;12,13;19240059/50000000,8728973/25000000;10,3848011800,6203234459,0,0,6203234459,493349954638;8,34915892,62280000,0,0,55716963,34056631
23;L;13,14;8728973/25000000,33663781/100000000;8,34915892,62280000,0,0,55716963,34056631;10,3366378100,6237429731,0,0,5331231721,687840645798
23;L;14,15;33663781/100000000,31723067/100000000;10,3366378100,6237429731,0,0,5331231721,687840645798;10,3172306700,6253000000,0,0,4934179227,355841682471
23;L;15,16;31723067/100000000,5787459/20000000;10,3172306700,6253000000,0,0,4934179227,355841682471;10,2893729500,6278000000,0,0,4296662182,93770998876
23;L;16,17;5787459/20000000,542203/2000000;10,2893729500,6278000000,0,0,4296662182,93770998876;10,2711015000,6296804307,0,0,3817139556,1129366372615
23;L;17,18;542203/2000000,13383487/50000000;10,2711015000,6296804307,0,0,3817139556,1129366372615;4,2676,6303,0,0,3660,396591
23;L;18,19;13383487/50000000,411187/1562500;4,2676,6303,0,0,3660,396591;2,26,64,0,0,33,15
24;C;0,1;9379409/25000000;4,3751,0,0,6028,6028,2346432;4,3751,0,0,6033,6033,2225822
25;C;0,2;9378163/25000000;4,3751,0,0,6028,6028,2346432;4,3751,0,0,6035,6035,2177550
26;C;0,1;9379409/25000000;4,3751,0,0,6028,6028,2346432;4,3751,0,0,6033,6033,2225822
27;C;0,2;9378163/25000000;4,3751,0,0,6028,6028,2346432;4,3751,0,0,6035,6035,2177550
28;C;1,2;9378163/25000000;4,3751,6033,6033,0,0,2225822;4,3751,6035,6035,0,0,2177550
29;C;0,1;9379409/25000000;2,37,0,1,31,61,2717;2,37,0,1,31,61,2717
30;C;0,27;11685837/50000000;2,23,0,0,1,61,878;2,23,0,0,1,65,374
31;C;0,1;9379409/25000000;2,37,0,0,61,31,2718;2,37,1,0,61,31,2717
32;C;0,27;11685837/50000000;2,23,0,0,0,61,879;2,23,0,1,0,65,374
33;C;1,27;11685837/50000000;4,2337,6033,7,0,3047,1058653;2,23,65,1,0,0,374
34;C;0,45;965077/12500000;2,7,0,0,0,25,775;2,7,0,0,0,28,616
35;C;0,45;965077/12500000;2,7,0,0,0,37,31;2,7,0,0,0,28,616
36;C;27,28;11098197/50000000;2,22,1,0,0,65,174;2,22,0,0,0,63,431
36;C;28,29;5219/25000;2,20,0,0,0,63,31;2,20,0,0,0,61,279
36;C;29,31;19119289/100000000;2,19,0,0,0,61,79;2,19,0,0,0,58,436
36;C;31,33;67312/390625;2,17,0,0,0,58,36;2,17,0,0,0,54,484
36;C;33,34;8061423/50000000;2,16,0,0,0,54,284;2,16,0,0,0,52,496
36;C;34,36;14063321/100000000;2,14,0,0,0,52,96;2,14,0,0,0,47,591
36;C;36,38;12215163/100000000;2,12,0,0,0,47,191;2,12,0,0,0,43,551
36;C;38,40;10578373/100000000;2,10,0,0,0,43,151;2,10,0,0,0,38,556
36;C;40,45;965077/12500000;4,772,0,0,0,3790,1075900;2,7,0,0,0,28,616
37;C;0,1;9379409/25000000;2,37,1,1,1,61,3676;2,37,1,1,1,61,3676
38;C;0,17;542203/2000000;2,27,0,1,1,61,1677;2,27,0,1,1,63,1429
39;C;0,1;9379409/25000000;2,37,0,0,61,1,3678;2,37,1,1,61,1,3676
40;C;0,17;542203/2000000;2,27,0,0,0,61,1679;2,27,0,1,1,63,1429
41;C;1,17;542203/2000000;2,27,61,1,1,1,1676;2,27,63,1,1,0,1429
42;C;0,45;965077/12500000;2,7,0,0,0,1,1399;2,7,0,0,0,1,1399
43;C;0,45;965077/12500000;2,7,0,0,0,36,104;2,7,0,0,0,1,1399
44;C;17,24;24137557/100000000;2,24,1,1,0,63,829;2,24,1,1,0,50,2298
44;C;24,31;19119289/100000000;2,19,1,1,0,50,1298;2,19,0,0,0,35,2575
44;C;31,45;965077/12500000;2,7,0,0,0,35,175;2,7,0,0,0,1,1399
45;C;0,27;11685837/50000000;2,23,0,0,21,61,438;10,2337167400,0,0,2175527194,6481545269,354070204003
46;C;0,27;11685837/50000000;2,23,0,0,18,61,555;10,2337167400,0,0,2175527194,6481545269,354070204003
47;C;2,8;36880679/100000000;4,3688,6035,0,0,6035,917550;2,36,62,0,0,53,547
47;C;8,14;33663781/100000000;4,3366,6128,0,0,5226,2456540;2,33,63,0,0,43,782
47;C;14,15;31723067/100000000;2,31,63,0,0,43,382;2,31,63,0,0,42,467
47;C;15,16;5787459/20000000;4,2893,6253,0,0,4147,1562382;2,28,63,0,0,40,31
47;L;16,17;5787459/20000000,542203/2000000;2,28,63,0,0,40,31;4,2711,6297,0,0,3770,354891
47;L;17,18;542203/2000000,13383487/50000000;4,2711,6297,0,0,3770,354891;8,26766974,63030000,0,0,37156612,84681456
47;L;18,19;13383487/50000000,411187/1562500;8,26766974,63030000,0,0,37156612,84681456;10,2631596800,6320989819,0,0,3560480720,750606628839
47;L;19,20;411187/1562500,2614683/10000000;10,2631596800,6320989819,0,0,3560480720,750606628839;8,26146830,63280000,0,0,35000108,39988336
47;L;20,21;2614683/10000000,25573817/100000000;8,26146830,63280000,0,0,35000108,39988336;8,25573817,63530000,0,0,32843605,110603975
47;L;21,22;25573817/100000000,25047933/100000000;8,25573817,63530000,0,0,32843605,110603975;10,2504793300,6378000000,0,0,3068710108,273058628336
47;L;22,23;25047933/100000000,1228459/5000000;10,2504793300,6378000000,0,0,3068710108,273058628336;8,24569180,64030000,0,0,28530598,77762396
47;L;23,24;1228459/5000000,24137557/100000000;8,24569180,64030000,0,0,28530598,77762396;8,24137557,64280000,0,0,26374095,112930975
47;L;24,25;24137557/100000000,2969133/12500000;8,24137557,64280000,0,0,26374095,112930975;8,23753064,64530000,0,0,24217591,186156719
47;L;25,26;2969133/12500000,234157/1000000;8,23753064,64530000,0,0,24217591,186156719;10,2341570000,6478000000,0,0,2206108727,284654439471
47;L;26,27;234157/1000000,11685837/50000000;10,2341570000,6478000000,0,0,2206108727,284654439471;10,2337167400,6481545269,0,0,2175527194,354070204003
48;C;0,45;965077/12500000;2,7,0,0,25,25,150;10,772061600,0,0,2766305495,2790839623,107026022846
49;C;0,22;25047933/100000000;2,25,0,0,20,37,3231;2,25,0,0,23,33,3382
49;C;22,33;67312/390625;2,17,0,0,23,33,1782;2,17,0,0,25,31,1814
49;C;33,39;11370347/100000000;2,11,0,0,25,31,614;2,11,0,0,27,30,571
49;C;39,42;9152951/100000000;2,9,0,0,27,30,171;2,9,0,0,28,29,175
49;C;42,43;4259751/50000000;4,851,0,0,2707,2851,1563950;4,851,0,0,2732,2826,1569900
49;C;43,44;496181/6250000;4,793,0,0,2732,2826,409900;4,793,0,0,2757,2801,413350
49;L;44,45;496181/6250000,965077/12500000;4,793,0,0,2757,2801,413350;10,772061600,0,0,2766305495,2790839623,107026022846
50;L;27,28;11685837/50000000,11098197/50000000;10,2337167400,2175527194,0,0,6481545269,354070204003;8,22196394,22067085,0,0,62867500,3352775
50;L;28,29;11098197/50000000,5219/25000;8,22196394,22067085,0,0,62867500,3352775;12,208760000000,224304223846,0,0,605976579708,10237447603020
50;L;29,30;5219/25000,19608449/100000000;12,208760000000,224304223846,0,0,605976579708,10237447603020;8,19608449,22793761,0,0,58327817,23489390
50;L;30,31;19608449/100000000,19119289/100000000;8,19608449,22793761,0,0,58327817,23489390;10,1911928900,2293818254,0,0,5742558267,367726348195
50;L;31,32;19119289/100000000,18393739/100000000;10,1911928900,2293818254,0,0,5742558267,367726348195;10,1839373900,2315709805,0,0,5605797541,28345215294
50;L;32,33;18393739/100000000,67312/390625;10,1839373900,2315709805,0,0,5605797541,28345215294;8,17231872,23520436,0,0,53788135,23591679
50;L;33,34;67312/390625,8061423/50000000;8,17231872,23520436,0,0,53788135,23591679;8,16122846,23883774,0,0,51518293,25883075
50;L;34,35;8061423/50000000,7533331/50000000;8,16122846,23883774,0,0,51518293,25883075;10,1506666200,2424711153,0,0,4924845156,13940746255
50;L;35,36;7533331/50000000,14063321/100000000;10,1506666200,2424711153,0,0,4924845156,13940746255;8,14063321,24610450,0,0,46978611,59308179
50;L;36,37;14063321/100000000,13112821/100000000;8,14063321,24610450,0,0,46978611,59308179;8,13112821,24973788,0,0,44708769,87435695
50;L;37,38;13112821/100000000,12215163/100000000;8,13112821,24973788,0,0,44708769,87435695;8,12215163,25337126,0,0,42438928,36270940
50;L;38,39;12215163/100000000,11370347/100000000;8,12215163,25337126,0,0,42438928,36270940;8,11370347,25700463,0,0,40169087,51172062
50;L;39,40;11370347/100000000,10578373/100000000;8,11370347,25700463,0,0,40169087,51172062;8,10578373,26063801,0,0,37899246,30063883
50;L;40,41;10578373/100000000,9839241/100000000;8,10578373,26063801,0,0,37899246,30063883;8,9839241,26427139,0,0,35629404,94879463
50;L;41,42;9839241/100000000,9152951/100000000;8,9839241,26427139,0,0,35629404,94879463;8,9152951,26790477,0,0,33359563,98561502
50;L;42,43;9152951/100000000,4259751/50000000;8,9152951,26790477,0,0,33359563,98561502;10,851950200,2715381416,0,0,3108972131,54307153783
50;L;43,44;4259751/50000000,496181/6250000;10,851950200,2715381416,0,0,3108972131,54307153783;8,7938896,27517152,0,0,28819881,4954735
50;L;44,45;496181/6250000,965077/12500000;8,7938896,27517152,0,0,28819881,4954735;10,772061600,2766305495,0,0,2790839623,107026022846
51;C;0,1;9379409/25000000;2,37,0,0,1,61,3678;2,37,0,0,1,61,3678
52;C;0,3;37504787/100000000;2,37,0,0,1,61,3678;2,37,0,0,1,61,3678
53;C;0,1;9379409/25000000;2,37,0,0,61,0,3679;2,37,1,0,61,0,3678
54;C;0,3;37504787/100000000;2,37,0,0,0,61,3679;2,37,1,0,0,61,3678
55;C;1,3;37504787/100000000;2,37,61,1,0,0,3678;2,37,61,1,0,0,3678
56;C;0,31;19119289/100000000;2,19,0,0,0,19,3439;2,19,0,0,0,21,3359
57;C;0,31;19119289/100000000;2,19,0,0,0,26,3124;2,19,0,0,0,21,3359
58;C;3,31;19119289/100000000;2,19,1,0,0,61,78;2,19,0,0,0,21,3359
59;C;0,1;9379409/25000000;2,37,0,1,1,46,5282;2,37,0,1,1,46,5282
60;C;0,31;19119289/100000000;2,19,0,0,0,1,3799;2,19,0,0,0,1,3799
61;C;0,1;9379409/25000000;2,37,0,0,0,46,5284;2,37,1,1,0,46,5282
62;C;0,31;19119289/100000000;2,19,0,0,0,22,3316;2,19,0,0,0,1,3799
63;C;1,31;19119289/100000000;2,19,1,1,0,46,1682;2,19,0,0,0,1,3799
64;C;0,1;9379409/25000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
65;C;0,3;37504787/100000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
66;C;0,1;9379409/25000000;2,37,0,0,61,16,3423;2,37,0,0,61,16,3423
67;C;0,3;37504787/100000000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
68;C;1,3;37504787/100000000;2,37,61,0,0,16,3423;2,37,61,0,0,16,3423
69;C;0,31;19119289/100000000;2,19,0,0,19,19,3078;2,19,0,0,21,21,2918
70;C;0,31;19119289/100000000;2,19,0,0,15,26,2899;2,19,0,0,21,21,2918
71;C;3,17;542203/2000000;2,27,16,0,0,61,1423;2,27,18,0,0,41,3395
71;C;17,31;19119289/100000000;2,19,18,0,0,41,1795;2,19,21,0,0,21,2918
MASS SLACK NUMERATOR 36070574060662562225222894096364172699448940261996138868805954781505229818806334980466262146475517095602482006294470943145003689
BIN 38: PATH2; (895/672,4/3]; gamma0=603/1000; mass ceiling=49852811/50000000.
GAMMA 0=603/1000;1=100724400000/166915019567;2=1211/2000;3=88133850000/145095596417;4=76/125;5=1221/2000;6=613/1000;7=1231/2000;8=309/500;9=62952750000/101456750117;10=1241/2000;11=623/1000;12=58755900000/94183609067;13=1251/2000;14=157/250;15=83937000000/133340219567;16=1261/2000;17=50362200000/79637326967;18=633/1000;19=1271/2000;20=319/500;21=1281/2000;22=643/1000;23=1291/2000;24=81/125;25=75543300000/116552819567;26=1301/2000;27=653/1000;28=1311/2000;29=3147637500/4794901117;30=329/500;31=1321/2000;32=663/1000;33=1331/2000;34=167/250;35=1341/2000;36=673/1000;37=1351/2000;38=339/500;39=1361/2000;40=683/1000;41=1371/2000;42=86/125;43=62952750000/91371719567;44=1381/2000;45=693/1000;46=1391/2000;47=349/500;48=1401/2000;49=703/1000;50=1411/2000;51=177/250;52=1421/2000;53=713/1000;54=1431/2000;55=359/500;56=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37519256,37573228;1,2,37573228,36940379;2,3,36940379,36895971;3,4,36895971,36966400;4,5,36966400,37271025;5,6,37271025,37576900;6,7,37576900,37884025;7,8,37884025,38192400;8,9,38192400,38500602;9,10,38500602,38483189;10,11,38483189,34890993;11,12,34890993,33769735;12,13,33769735,31705160;13,14,31705160,28925692;14,15,28925692,27457741;15,16,27457741,26705632;16,17,26705632,26233401;17,18,26233401,26088173;18,19,26088173,25518052;19,20,25518052,24995268;20,21,24995268,24519821;21,22,24519821,24091711;22,23,24091711,23710938;23,24,23710938,23377502;24,25,23377502,23359433;25,26,23359433,22068881;26,27,22068881,20749561;27,28,20749561,19483354;28,29,19483354,19013612;29,30,19013612,18270259;30,31,18270259,17110276;31,32,17110276,16003405;32,33,16003405,14949647;33,34,14949647,13949000;34,35,13949000,13001466;35,36,13001466,12107045;36,37,12107045,11265735;37,38,11265735,10477537;38,39,10477537,9742452;39,40,9742452,9060479;40,41,9060479,8431618;41,42,8431618,7855870;42,43,7855870,7645910;43,44,0,0;44,45,0,0;45,46,0,0;46,47,0,0;47,48,0,0;48,49,0,0;49,50,0,0;50,51,0,0;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;145095596417/37771650000,1/3,166915019567/75543300000;-8385406310989
2;0,3,6;1/3,3,1;-2
3;0,6,9;1/3,5,1;-2
6;0,3,6;1/3,3,1;-2
7;0,6,12;1/3,5,1;-2
8;0,6,8;8/3,8,8;-8
9;2,3,6;7/3,5/3,2/3;-1
10;0,6;1/3,1;-1
14;0,6;1/3,1;-1
18;1,4,8;123276173267/25181100000,1,166915019567/75543300000;-6986456310989
20;0,3,8;1,2,1;-2
21;0,8;1/3,1;-1
22;1,4,8;57817903817/12590550000,5,166915019567/75543300000;-691181310989
26;0,8;1/3,1;-1
29;1,3,9;1/3,3,4/3;-1
30;1,4,11;123276173267/25181100000,1,166915019567/75543300000;-6986456310989
32;0,3,11;1,2,1;-2
33;0,11;1/3,1;-1
34;1,4,11;57817903817/12590550000,5,166915019567/75543300000;-691181310989
38;0,11;1/3,1;-1
41;1,3,12;1/3,3,4/3;-1
42;1,4,14;145095596417/37771650000,1/3,166915019567/75543300000;-8385406310989
43;0,3,14;1/3,3,1;-2
45;0,3,14;1/3,3,1;-2
46;0,8,14;8/3,8,8;-8
47;0,14;1/3,1;-1
49;0,14;1/3,1;-1
52;0,9,14;1/3,1,5;-2
54;0,12,14;1/3,1,5;-2
55;2,3,14;7/3,5/3,2/3;-1
60;0,1,6;2/3,2,1;-1
62;0,3,6;1/3,3,1;-2
63;0,6,9;4/3,5,1;-2
64;1,4,6;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
66;0,3,6;1/3,3,1;-2
67;0,6,8;1/3,8,1;-4
68;0,6,8;8/3,8,8;-8
70;0,6;1/3,1;-1
72;1,4,6;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
74;0,6;1/3,1;-1
78;1,8;3,1;-2
79;1,4,8;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
80;0,3,8;1,2,1;-2
81;0,8;1/3,1;-1
82;1,4,8;66190619567/12590550000,4,166915019567/75543300000;-2789606310989
84;1,4,8;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
86;0,8;1/3,1;-1
89;1,3,9;1/3,3,4/3;-1
90;1,11;3,1;-2
91;1,4,11;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
92;0,3,11;1,2,1;-2
93;0,11;1/3,1;-1
94;1,4,11;66190619567/12590550000,4,166915019567/75543300000;-2789606310989
96;1,4,11;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
98;0,11;1/3,1;-1
101;1,3,12;1/3,3,4/3;-1
102;0,1,14;2/3,2,1;-1
103;0,3,14;1/3,3,1;-2
104;1,4,14;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
105;0,3,14;1/3,3,1;-2
106;0,8,14;8/3,8,8;-8
107;0,14;1/3,1;-1
108;1,4,14;66190619567/15108660000,10/3,166915019567/75543300000;-5570918932967
109;0,14;1/3,1;-1
112;0,9,14;4/3,1,5;-2
114;0,8,14;1/3,1,8;-4
120;0,1,6;5/3,2,1;-1
121;1,4,6;24125592173/4721456250,5/3,166915019567/75543300000;-4188556310989
122;0,3,6;1/3,3,1;-2
123;0,6,9;7/3,5,1;-2
124;1,4,6;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
126;0,3,6;1/3,3,1;-2
127;0,6,8;4/3,8,1;-4
128;0,6,8;8/3,8,8;-8
130;0,6;1/3,1;-1
132;1,4,6;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
134;0,6;1/3,1;-1
136;1,4,6;66261965809/18885825000,19/3,166915019567/75543300000;-183762103663
138;0,1,8;1,3,1;-2
139;1,4,8;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
140;0,3,8;1,2,1;-2
141;0,8;1/3,1;-1
142;1,4,8;82419838517/12590550000,3,166915019567/75543300000;-4888031310989
143;1,4,8;66261965809/18885825000,19/3,166915019567/75543300000;-183762103663
144;1,4,8;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
146;0,8;1/3,1;-1
148;1,4,8;66261965809/18885825000,19/3,166915019567/75543300000;-183762103663
149;1,3,9;1/3,3,4/3;-1
150;0,1,11;1,3,1;-2
151;1,4,11;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
152;0,3,11;1,2,1;-2
153;0,11;1/3,1;-1
154;1,4,11;82419838517/12590550000,3,166915019567/75543300000;-4888031310989
155;1,4,11;66261965809/18885825000,19/3,166915019567/75543300000;-183762103663
156;1,4,11;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
158;0,11;1/3,1;-1
160;1,4,11;66261965809/18885825000,19/3,166915019567/75543300000;-183762103663
161;1,3,12;1/3,3,4/3;-1
162;0,1,14;5/3,2,1;-1
163;0,3,14;1/3,3,1;-2
164;1,4,14;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
165;0,3,14;1/3,3,1;-2
166;0,8,14;8/3,8,8;-8
167;0,14;1/3,1;-1
168;1,4,14;88052850587/15108660000,7/3,166915019567/75543300000;-13964618932967
169;0,14;1/3,1;-1
170;1,4,14;66261965809/18885825000,19/3,166915019567/75543300000;-183762103663
171;1,4,14;24125592173/4721456250,5/3,166915019567/75543300000;-4188556310989
172;0,9,14;7/3,1,5;-2
174;0,8,14;4/3,1,8;-4
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;24881067033,79417607810516169075000,591443226483,9
4;1,4,6,3;24881067033,42648439396238805780000,427470240366,3
5;5,4,2,3;427470240366,115028313145100078220000,780297279633,9
12;1,4,6,3;24881067033,42648439396238805780000,427470240366,3
13;5,4,2,3;427470240366,115028313145100078220000,780297279633,9
16;1,4,6,3;24881067033,264986414633830845375000,1963183732599,15
17;5,4,2,3;1963183732599,28279719982291829625000,780297279633,3
19;1,4,8,3;24881067033,42648439396238805780000,427470240366,3
23;7,4,8,3;427470240366,69252683508577768815000,1963183732599,3
24;1,4,8,3;24881067033,42648439396238805780000,427470240366,3
25;7,4,2,3;591443226483,21508138926708365925000,780297279633,3
28;7,4,8,3;427470240366,69252683508577768815000,1963183732599,3
31;1,4,11,3;24881067033,42648439396238805780000,427470240366,3
35;10,4,11,3;427470240366,69252683508577768815000,1963183732599,3
36;1,4,11,3;24881067033,42648439396238805780000,427470240366,3
37;10,4,2,3;591443226483,21508138926708365925000,780297279633,3
40;10,4,11,3;427470240366,69252683508577768815000,1963183732599,3
44;1,4,14,3;24881067033,42648439396238805780000,427470240366,3
48;1,4,14,3;24881067033,42648439396238805780000,427470240366,3
50;1,4,14,3;24881067033,264986414633830845375000,1963183732599,15
51;1,4,14,3;24881067033,79417607810516169075000,591443226483,9
53;13,4,2,3;427470240366,115028313145100078220000,780297279633,9
57;13,4,2,3;427470240366,115028313145100078220000,780297279633,9
59;13,4,2,3;1963183732599,28279719982291829625000,780297279633,3
61;1,4,6;24881067033,313266318532338150000,24881067033
65;1,4,9,3;24881067033,127068172496825870520000,584661089011,1
71;7,4,2,3;584661089011,37033749421122129480000,5237068734066,1
73;1,4,12,3;24881067033,127068172496825870520000,584661089011,1
75;10,4,2,3;584661089011,37033749421122129480000,5237068734066,1
76;1,4,6,3;24881067033,53232232665665422687500,3532847601099,3
77;5,4,2,3;3532847601099,24839827365815827312500,5237068734066,3
83;1,4,8,3;24881067033,53232232665665422687500,3532847601099,3
85;7,4,12,3;24881067033,50283917834767532370000,584661089011,1
87;10,4,2,3;584661089011,37033749421122129480000,5237068734066,1
88;1,4,8,3;24881067033,53232232665665422687500,3532847601099,3
95;1,4,11,3;24881067033,53232232665665422687500,3532847601099,3
97;10,4,9,3;24881067033,50283917834767532370000,584661089011,1
99;7,4,2,3;584661089011,37033749421122129480000,5237068734066,1
100;1,4,11,3;24881067033,53232232665665422687500,3532847601099,3
110;1,4,14,3;24881067033,53232232665665422687500,3532847601099,3
111;1,4,14;24881067033,313266318532338150000,24881067033
113;1,4,9,3;24881067033,127068172496825870520000,584661089011,1
116;7,4,2,3;584661089011,37033749421122129480000,5237068734066,1
117;1,4,12,3;24881067033,127068172496825870520000,584661089011,1
118;10,4,2,3;584661089011,37033749421122129480000,5237068734066,1
119;13,4,2,3;3532847601099,24839827365815827312500,5237068734066,3
125;1,4,9;24881067033,250613054825870520000,24881067033
131;7,4,2,3;24881067033,36369267892720149240000,341749501932,9
133;1,4,12;24881067033,250613054825870520000,24881067033
135;10,4,2,3;24881067033,36369267892720149240000,341749501932,9
137;1,4,2,3;24881067033,79260974651250000000000,341749501932,9
145;1,4,12;24881067033,250613054825870520000,24881067033
147;10,4,2,3;24881067033,36369267892720149240000,341749501932,9
157;1,4,9;24881067033,250613054825870520000,24881067033
159;7,4,2,3;24881067033,36369267892720149240000,341749501932,9
173;1,4,9;24881067033,250613054825870520000,24881067033
176;7,4,2,3;24881067033,36369267892720149240000,341749501932,9
177;1,4,12;24881067033,250613054825870520000,24881067033
178;10,4,2,3;24881067033,36369267892720149240000,341749501932,9
179;1,4,2,3;24881067033,79260974651250000000000,341749501932,9
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
11;2,3,7;2,4/3,2/3;2;2,7:2,3
15;2,3,10;2,4/3,2/3;2;2,10:2,3
27;2,3,10;2,4/3,2/3;2;2,10:2,3
39;2,3,7;2,4/3,2/3;2;2,7:2,3
56;2,3,7;2,4/3,2/3;2;2,7:2,3
58;2,3,10;2,4/3,2/3;2;2,10:2,3
69;2,3,6;10/3,5/3,5/6;2;2,6:2,3
115;2,3,14;10/3,5/3,5/6;2;2,14:2,3
129;2,3,6;13/3,13/6,13/12;2;2,6:2,3
175;2,3,14;13/3,13/6,13/12;2;2,14:2,3
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;4;V;3,1
6;4;V;6,3
7;4;E;4,1
8;4;E;4,6
9;4;E;4,3
10;5;V;2,3
11;5;E;4,2
12;5;E;4,3
13;16;V;3,1
14;16;V;6,3
15;16;E;4,1
16;16;E;4,6
17;16;E;4,3
18;17;V;2,3
19;17;E;4,2
20;17;E;4,3
21;25;V;2,3
22;25;E;4,2
23;25;E;4,3
24;61;V;6,1
25;61;E;4,1
26;61;E;4,6
27;65;V;3,1
28;65;V;9,3
29;65;E;4,1
30;65;E;4,9
31;65;E;4,3
32;69;V;2,6
33;71;V;2,3
34;71;E;4,2
35;71;E;4,3
36;76;V;3,1
37;76;V;6,3
38;76;E;4,1
39;76;E;4,6
40;76;E;4,3
41;77;V;2,3
42;77;E;4,2
43;77;E;4,3
44;85;V;12,3
45;85;E;4,12
46;85;E;4,3
47;87;E;4,2
48;87;E;4,3
49;125;V;9,1
50;125;E;4,1
51;125;E;4,9
52;129;V;2,6
53;131;V;2,3
54;131;E;4,2
55;131;E;4,3
56;137;V;3,1
57;137;V;2,3
58;137;E;4,1
59;137;E;4,2
60;137;E;4,3
61;145;V;12,1
62;145;E;4,1
63;145;E;4,12
64;147;E;4,2
65;147;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/1;V/6,3/1/0/9;E/4,1/2/0/1;E/4,6/3/0/9;E/4,3/4/1/9
4:V/3,1/5/0/1;V/6,3/6/0/3;E/4,1/7/0/1;E/4,6/8/0/3;E/4,3/9/1/3
5:V/3,5/6/0/3;V/2,3/10/0/17;E/4,5/8/0/3;E/4,2/11/0/17;E/4,3/12/3/17
11:V/2,7/10/0/17
12:V/3,1/5/0/1;V/6,3/6/0/3;E/4,1/7/0/1;E/4,6/8/0/3;E/4,3/9/1/3
13:V/3,5/6/0/3;V/2,3/10/0/17;E/4,5/8/0/3;E/4,2/11/0/17;E/4,3/12/3/17
15:V/2,10/10/0/17
16:V/3,1/13/0/1;V/6,3/14/0/12;E/4,1/15/0/1;E/4,6/16/0/12;E/4,3/17/1/12
17:V/3,5/14/0/12;V/2,3/18/0/17;E/4,5/16/0/12;E/4,2/19/0/17;E/4,3/20/12/17
19:V/3,1/0/0/1;V/8,3/6/0/3;E/4,1/2/0/1;E/4,8/8/0/3;E/4,3/4/1/3
23:V/3,7/6/0/3;V/8,3/14/0/12;E/4,7/8/0/3;E/4,8/16/0/12;E/4,3/12/3/12
24:V/3,1/0/0/1;V/8,3/6/0/3;E/4,1/2/0/1;E/4,8/8/0/3;E/4,3/4/1/3
25:V/3,7/1/0/9;V/2,3/21/0/17;E/4,7/3/0/9;E/4,2/22/0/17;E/4,3/23/9/17
27:V/2,10/21/0/17
28:V/3,7/6/0/3;V/8,3/14/0/12;E/4,7/8/0/3;E/4,8/16/0/12;E/4,3/12/3/12
31:V/3,1/0/0/1;V/11,3/6/0/3;E/4,1/2/0/1;E/4,11/8/0/3;E/4,3/4/1/3
35:V/3,10/6/0/3;V/11,3/14/0/12;E/4,10/8/0/3;E/4,11/16/0/12;E/4,3/12/3/12
36:V/3,1/0/0/1;V/11,3/6/0/3;E/4,1/2/0/1;E/4,11/8/0/3;E/4,3/4/1/3
37:V/3,10/1/0/9;V/2,3/21/0/17;E/4,10/3/0/9;E/4,2/22/0/17;E/4,3/23/9/17
39:V/2,7/21/0/17
40:V/3,10/6/0/3;V/11,3/14/0/12;E/4,10/8/0/3;E/4,11/16/0/12;E/4,3/12/3/12
44:V/3,1/5/0/1;V/14,3/6/0/3;E/4,1/7/0/1;E/4,14/8/0/3;E/4,3/9/1/3
48:V/3,1/5/0/1;V/14,3/6/0/3;E/4,1/7/0/1;E/4,14/8/0/3;E/4,3/9/1/3
50:V/3,1/13/0/1;V/14,3/14/0/12;E/4,1/15/0/1;E/4,14/16/0/12;E/4,3/17/1/12
51:V/3,1/0/0/1;V/14,3/1/0/9;E/4,1/2/0/1;E/4,14/3/0/9;E/4,3/4/1/9
53:V/3,13/6/0/3;V/2,3/10/0/17;E/4,13/8/0/3;E/4,2/11/0/17;E/4,3/12/3/17
56:V/2,7/10/0/17
57:V/3,13/6/0/3;V/2,3/10/0/17;E/4,13/8/0/3;E/4,2/11/0/17;E/4,3/12/3/17
58:V/2,10/10/0/17
59:V/3,13/14/0/12;V/2,3/18/0/17;E/4,13/16/0/12;E/4,2/19/0/17;E/4,3/20/12/17
61:V/6,1/24/0/1;E/4,1/25/0/1;E/4,6/26/0/1
65:V/3,1/27/0/1;V/9,3/28/0/25;E/4,1/29/0/1;E/4,9/30/0/25;E/4,3/31/1/25
69:V/2,6/32/0/43
71:V/3,7/28/0/25;V/2,3/33/0/43;E/4,7/30/0/25;E/4,2/34/0/43;E/4,3/35/25/43
73:V/3,1/27/0/1;V/12,3/28/0/25;E/4,1/29/0/1;E/4,12/30/0/25;E/4,3/31/1/25
75:V/3,10/28/0/25;V/2,3/33/0/43;E/4,10/30/0/25;E/4,2/34/0/43;E/4,3/35/25/43
76:V/3,1/36/0/1;V/6,3/37/0/15;E/4,1/38/0/1;E/4,6/39/0/15;E/4,3/40/1/15
77:V/3,5/37/0/15;V/2,3/41/0/43;E/4,5/39/0/15;E/4,2/42/0/43;E/4,3/43/15/43
83:V/3,1/27/0/1;V/8,3/37/0/15;E/4,1/29/0/1;E/4,8/39/0/15;E/4,3/31/1/15
85:V/3,7/24/0/1;V/12,3/44/0/25;E/4,7/26/0/1;E/4,12/45/0/25;E/4,3/46/1/25
87:V/3,10/44/0/25;V/2,3/32/0/43;E/4,10/45/0/25;E/4,2/47/0/43;E/4,3/48/25/43
88:V/3,1/27/0/1;V/8,3/37/0/15;E/4,1/29/0/1;E/4,8/39/0/15;E/4,3/31/1/15
95:V/3,1/27/0/1;V/11,3/37/0/15;E/4,1/29/0/1;E/4,11/39/0/15;E/4,3/31/1/15
97:V/3,10/24/0/1;V/9,3/44/0/25;E/4,10/26/0/1;E/4,9/45/0/25;E/4,3/46/1/25
99:V/3,7/44/0/25;V/2,3/32/0/43;E/4,7/45/0/25;E/4,2/47/0/43;E/4,3/48/25/43
100:V/3,1/27/0/1;V/11,3/37/0/15;E/4,1/29/0/1;E/4,11/39/0/15;E/4,3/31/1/15
110:V/3,1/36/0/1;V/14,3/37/0/15;E/4,1/38/0/1;E/4,14/39/0/15;E/4,3/40/1/15
111:V/14,1/24/0/1;E/4,1/25/0/1;E/4,14/26/0/1
113:V/3,1/27/0/1;V/9,3/28/0/25;E/4,1/29/0/1;E/4,9/30/0/25;E/4,3/31/1/25
115:V/2,14/32/0/43
116:V/3,7/28/0/25;V/2,3/33/0/43;E/4,7/30/0/25;E/4,2/34/0/43;E/4,3/35/25/43
117:V/3,1/27/0/1;V/12,3/28/0/25;E/4,1/29/0/1;E/4,12/30/0/25;E/4,3/31/1/25
118:V/3,10/28/0/25;V/2,3/33/0/43;E/4,10/30/0/25;E/4,2/34/0/43;E/4,3/35/25/43
119:V/3,13/37/0/15;V/2,3/41/0/43;E/4,13/39/0/15;E/4,2/42/0/43;E/4,3/43/15/43
125:V/9,1/49/0/1;E/4,1/50/0/1;E/4,9/51/0/1
129:V/2,6/52/0/29
131:V/3,7/49/0/1;V/2,3/53/0/29;E/4,7/51/0/1;E/4,2/54/0/29;E/4,3/55/1/29
133:V/12,1/49/0/1;E/4,1/50/0/1;E/4,12/51/0/1
135:V/3,10/49/0/1;V/2,3/53/0/29;E/4,10/51/0/1;E/4,2/54/0/29;E/4,3/55/1/29
137:V/3,1/56/0/1;V/2,3/57/0/29;E/4,1/58/0/1;E/4,2/59/0/29;E/4,3/60/1/29
145:V/12,1/61/0/1;E/4,1/62/0/1;E/4,12/63/0/1
147:V/3,10/61/0/1;V/2,3/52/0/29;E/4,10/63/0/1;E/4,2/64/0/29;E/4,3/65/1/29
157:V/9,1/61/0/1;E/4,1/62/0/1;E/4,9/63/0/1
159:V/3,7/61/0/1;V/2,3/52/0/29;E/4,7/63/0/1;E/4,2/64/0/29;E/4,3/65/1/29
173:V/9,1/49/0/1;E/4,1/50/0/1;E/4,9/51/0/1
175:V/2,14/52/0/29
176:V/3,7/49/0/1;V/2,3/53/0/29;E/4,7/51/0/1;E/4,2/54/0/29;E/4,3/55/1/29
177:V/12,1/49/0/1;E/4,1/50/0/1;E/4,12/51/0/1
178:V/3,10/49/0/1;V/2,3/53/0/29;E/4,10/51/0/1;E/4,2/54/0/29;E/4,3/55/1/29
179:V/3,1/56/0/1;V/2,3/57/0/29;E/4,1/58/0/1;E/4,2/59/0/29;E/4,3/60/1/29
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;4689907/12500000,9393307/25000000;6,375192,0,152096,603000,603000,32806784;8,37573228,0,15220878,60344720,60344720,9152316
1;C;0,2;36940379/100000000;4,3694,0,0,6030,6030,1158200;4,3694,0,0,6055,6055,553950
1;C;2,3;36895971/100000000;4,3689,0,0,6055,6055,453950;8,36895971,0,0,60741920,60741920,32509427200
1;L;3,4;36895971/100000000,5776/15625;8,36895971,0,0,60741920,60741920,32509427200;6,369664,0,0,608000,608000,0
1;L;4,5;5776/15625,1490841/4000000;6,369664,0,0,608000,608000,0;8,37271025,0,0,61050000,61050000,0
1;L;5,6;1490841/4000000,375769/1000000;8,37271025,0,0,61050000,61050000,0;6,375769,0,0,613000,613000,0
1;L;6,7;375769/1000000,1515361/4000000;6,375769,0,0,613000,613000,0;8,37884025,0,0,61550000,61550000,0
1;L;7,8;1515361/4000000,95481/250000;8,37884025,0,0,61550000,61550000,0;6,381924,0,0,618000,618000,0
1;L;8,9;95481/250000,19250301/50000000;6,381924,0,0,618000,618000,0;10,3850060200,0,0,6204885326,6204885326,182379747448
2;L;0,1;4689907/12500000,9393307/25000000;8,37519256,0,60300000,60300000,15220745,121644975;8,37573228,0,60344720,60344720,15220878,9152316
3;C;0,2;36940379/100000000;4,3694,0,0,6030,6030,1158200;4,3694,0,0,6055,6055,553950
3;C;2,3;36895971/100000000;4,3689,0,0,6055,6055,453950;8,36895971,0,0,60741920,60741920,32509427200
3;L;3,4;36895971/100000000,5776/15625;8,36895971,0,0,60741920,60741920,32509427200;6,369664,0,0,608000,608000,0
3;L;4,5;5776/15625,1490841/4000000;6,369664,0,0,608000,608000,0;8,37271025,0,0,61050000,61050000,0
3;L;5,6;1490841/4000000,375769/1000000;8,37271025,0,0,61050000,61050000,0;6,375769,0,0,613000,613000,0
3;L;6,7;375769/1000000,1515361/4000000;6,375769,0,0,613000,613000,0;8,37884025,0,0,61550000,61550000,0
3;L;7,8;1515361/4000000,95481/250000;8,37884025,0,0,61550000,61550000,0;6,381924,0,0,618000,618000,0
3;L;8,9;95481/250000,19250301/50000000;6,381924,0,0,618000,618000,0;10,3850060200,0,0,6204885326,6204885326,182379747448
4;L;1,2;9393307/25000000,36940379/100000000;8,37573228,60344720,60344720,0,15220878,9152316;8,36940379,60550000,60550000,0,7447861,166524679
4;L;2,3;36940379/100000000,36895971/100000000;8,36940379,60550000,60550000,0,7447861,166524679;10,3689597100,6074191925,6074191925,0,18077953,104144918541
4;L;3,4;36895971/100000000,5776/15625;10,3689597100,6074191925,6074191925,0,18077953,104144918541;6,369664,608000,608000,0,0,0
4;L;4,5;5776/15625,1490841/4000000;6,369664,608000,608000,0,0,0;8,37271025,61050000,61050000,0,0,0
4;L;5,6;1490841/4000000,375769/1000000;8,37271025,61050000,61050000,0,0,0;6,375769,613000,613000,0,0,0
4;L;6,7;375769/1000000,1515361/4000000;6,375769,613000,613000,0,0,0;8,37884025,61550000,61550000,0,0,0
4;L;7,8;1515361/4000000,95481/250000;8,37884025,61550000,61550000,0,0,0;6,381924,618000,618000,0,0,0
4;L;8,9;95481/250000,19250301/50000000;6,381924,618000,618000,0,0,0;10,3850060200,6204885326,6204885326,0,0,182379747448
5;C;0,1;4689907/12500000;4,3751,0,18,6030,6030,2297876;4,3751,0,18,6035,6035,2177226
6;C;0,3;36895971/100000000;4,3689,0,18,6030,6030,1057876;10,3689597100,0,18077953,6074191925,6074191925,104144918541
7;C;0,1;4689907/12500000;4,3751,5,6030,6030,0,2298175;4,3751,18,6035,6035,0,2177226
8;C;0,3;36895971/100000000;4,3689,0,0,6030,6030,1058200;10,3689597100,0,18077953,6074191925,6074191925,104144918541
9;C;1,3;36895971/100000000;4,3689,18,6035,6035,0,937226;10,3689597100,18077953,6074191925,6074191925,0,104144918541
10;C;0,17;26233401/100000000;2,26,0,0,1,61,1478;2,26,0,0,1,64,1103
11;C;0,17;26233401/100000000;2,26,0,0,61,0,1479;2,26,0,1,64,0,1103
12;C;3,10;36895971/100000000;10,3689597100,18077953,6074191925,0,6074191925,104144918541;2,36,1,63,0,13,3061
12;C;10,17;26233401/100000000;2,26,1,63,0,13,1061;2,26,1,64,0,0,1103
13;C;0,1;4689907/12500000;2,37,1,1,46,61,1561;2,37,1,1,46,61,1561
14;C;0,12;6753947/20000000;2,33,0,1,1,61,2877;2,33,0,1,1,63,2629
15;C;0,1;4689907/12500000;2,37,1,1,61,46,1561;2,37,1,1,61,46,1561
16;C;0,12;6753947/20000000;2,33,0,0,0,61,2879;2,33,0,1,1,63,2629
17;C;1,12;6753947/20000000;2,33,1,1,61,46,761;2,33,1,1,63,0,2629
18;C;0,17;26233401/100000000;2,26,0,1,1,31,4237;2,26,0,1,1,32,4174
19;C;0,17;26233401/100000000;2,26,0,0,0,44,3264;2,26,0,1,1,32,4174
20;C;12,17;26233401/100000000;2,26,1,1,0,63,1229;2,26,1,1,0,32,4174
21;C;0,17;26233401/100000000;2,26,0,0,31,61,518;2,26,0,0,32,64,80
22;C;0,17;26233401/100000000;2,26,0,0,61,35,254;2,26,0,0,64,32,80
23;L;9,10;19250301/50000000,38483189/100000000;10,3850060200,6204885326,0,0,6204885326,182379747448;8,38483189,62050000,0,0,62019636,50427504
23;L;10,11;38483189/100000000,34890993/100000000;8,38483189,62050000,0,0,62019636,50427504;8,34890993,62300000,0,0,55649874,123784124
23;L;11,12;34890993/100000000,6753947/20000000;8,34890993,62300000,0,0,55649874,123784124;8,33769735,62384422,0,0,53498886,88484920
23;L;12,13;6753947/20000000,792629/2500000;8,33769735,62384422,0,0,53498886,88484920;10,3170516000,6255000000,0,0,4928011249,129729459999
23;L;13,14;792629/2500000,7231423/25000000;10,3170516000,6255000000,0,0,4928011249,129729459999;8,28925692,62800000,0,0,42910352,91236096
23;L;14,15;7231423/25000000,27457741/100000000;8,28925692,62800000,0,0,42910352,91236096;8,27457741,62949499,0,0,39101263,7453830
23;L;15,16;27457741/100000000,834551/3125000;8,27457741,62949499,0,0,39101263,7453830;4,2670,6305,0,0,3655,287950
23;L;16,17;834551/3125000,26233401/100000000;4,2670,6305,0,0,3655,287950;2,26,64,0,0,32,80
24;C;0,1;4689907/12500000;4,3751,0,0,6030,6030,2298200;4,3751,0,0,6035,6035,2177550
25;C;0,1;4689907/12500000;4,3751,0,0,6030,6030,2298200;4,3751,0,0,6035,6035,2177550
26;C;0,1;4689907/12500000;4,3751,0,0,6030,6030,2298200;4,3751,0,0,6035,6035,2177550
27;C;0,1;4689907/12500000;2,37,0,1,31,61,2717;2,37,0,1,31,61,2717
28;C;0,25;23359433/100000000;2,23,0,0,1,61,878;2,23,0,0,1,65,374
29;C;0,1;4689907/12500000;2,37,1,0,61,31,2717;2,37,1,0,61,31,2717
30;C;0,25;23359433/100000000;2,23,0,0,0,61,879;2,23,0,1,0,65,374
31;C;1,25;23359433/100000000;4,2335,14,6035,0,3024,1134003;2,23,1,65,0,0,374
32;C;0,43;764591/10000000;2,7,0,0,25,25,150;10,764591000,0,0,2765123809,2765123809,641802663038
33;C;0,43;764591/10000000;2,7,0,0,1,25,774;2,7,0,0,1,28,615
34;C;0,43;764591/10000000;2,7,0,0,0,37,31;2,7,1,0,0,28,615
35;C;25,26;22068881/100000000;2,22,1,0,0,65,174;2,22,1,0,0,63,430
35;C;26,27;20749561/100000000;2,20,1,0,0,63,30;2,20,1,0,0,61,278
35;C;27,29;4753403/25000000;2,19,1,0,0,61,78;2,19,1,0,0,58,435
35;C;29,31;4277569/25000000;2,17,1,0,0,58,35;2,17,1,0,0,54,483
35;C;31,32;3200681/20000000;2,16,1,0,0,54,283;2,16,1,0,0,52,495
35;C;32,34;13949/100000;4,1394,15,0,0,5130,1562875;2,13,1,0,0,47,390
35;C;34,36;2421409/20000000;2,12,1,0,0,47,190;2,12,1,0,0,43,550
35;C;36,38;10477537/100000000;2,10,1,0,0,43,150;2,10,1,0,0,38,555
35;C;38,43;764591/10000000;4,764,16,0,0,3765,1104519;2,7,1,0,0,28,615
36;C;0,1;4689907/12500000;2,37,1,1,1,61,3676;2,37,1,1,1,61,3676
37;C;0,15;27457741/100000000;2,27,0,1,1,61,1677;2,27,0,1,1,63,1429
38;C;0,1;4689907/12500000;2,37,1,1,61,1,3676;2,37,1,1,61,1,3676
39;C;0,15;27457741/100000000;2,27,0,0,0,61,1679;2,27,0,1,1,63,1429
40;C;1,15;27457741/100000000;2,27,1,1,61,1,1676;2,27,1,1,63,0,1429
41;C;0,43;764591/10000000;2,7,0,1,1,1,1397;2,7,0,1,1,1,1397
42;C;0,43;764591/10000000;2,7,0,0,0,35,175;2,7,1,1,0,1,1397
43;C;15,22;24091711/100000000;2,24,1,1,0,63,829;2,24,1,1,0,49,2397
43;C;22,29;4753403/25000000;2,19,1,1,0,49,1397;2,19,1,1,0,35,2573
43;C;29,43;764591/10000000;2,7,1,1,0,35,173;2,7,1,1,0,1,1397
44;C;0,25;23359433/100000000;2,23,0,0,21,61,438;10,2335943300,0,0,2170133312,6481464823,1156361489327
45;C;0,25;23359433/100000000;2,23,0,0,18,61,555;10,2335943300,0,0,2170133312,6481464823,1156361489327
46;C;1,7;36895971/100000000;4,3689,6035,0,0,6035,937550;2,36,62,0,0,50,856
46;C;7,13;792629/2500000;4,3170,6155,0,0,4993,585926;2,31,63,0,0,42,467
46;C;13,14;7231423/25000000;4,2892,6255,0,0,4128,1674591;2,28,63,0,0,40,31
46;C;14,15;27457741/100000000;4,2745,6280,0,0,3912,157856;4,2745,6295,0,0,3783,961886
46;L;15,16;27457741/100000000,834551/3125000;4,2745,6295,0,0,3783,961886;8,26705632,63050000,0,0,36957053,133555191
46;L;16,17;834551/3125000,26233401/100000000;8,26705632,63050000,0,0,36957053,133555191;8,26233401,63239441,0,0,35319304,66963103
46;L;17,18;26233401/100000000,26088173/100000000;8,26233401,63239441,0,0,35319304,66963103;10,2608817300,6330000000,0,0,3479575521,193657578559
46;L;18,19;26088173/100000000,6379513/25000000;10,2608817300,6330000000,0,0,3479575521,193657578559;8,25518052,63550000,0,0,32634458,51046236
46;L;19,20;6379513/25000000,6248817/25000000;8,25518052,63550000,0,0,32634458,51046236;8,24995268,63800000,0,0,30473161,58668079
46;L;20,21;6248817/25000000,24519821/100000000;8,24995268,63800000,0,0,30473161,58668079;8,24519821,64050000,0,0,28311863,113469231
46;L;21,22;24519821/100000000,24091711/100000000;8,24519821,64050000,0,0,28311863,113469231;8,24091711,64300000,0,0,26150565,150180775
46;L;22,23;24091711/100000000,11855469/50000000;8,24091711,64300000,0,0,26150565,150180775;8,23710938,64550000,0,0,23989268,120824176
46;L;23,24;11855469/50000000,11688751/50000000;8,23710938,64550000,0,0,23989268,120824176;8,23377502,64800000,0,0,21827970,125679100
46;L;24,25;11688751/50000000,23359433/100000000;8,23377502,64800000,0,0,21827970,125679100;10,2335943300,6481464823,0,0,2170133312,1156361489327
47;C;0,21;24519821/100000000;2,24,0,0,20,37,3031;2,24,0,0,23,33,3182
47;C;21,32;3200681/20000000;2,16,0,0,23,33,1582;2,16,0,0,26,31,1563
47;C;32,37;2253147/20000000;2,11,0,0,26,31,563;2,11,0,0,27,29,630
47;C;37,40;9060479/100000000;2,9,0,0,27,29,230;2,9,0,0,28,29,175
47;C;40,41;4215809/50000000;4,843,0,0,2706,2825,1556939;2,8,0,0,28,28,32
47;C;41,42;785587/10000000;4,785,0,0,2731,2800,401639;4,785,0,0,2756,2775,403839
47;C;42,43;764591/10000000;8,7645910,0,0,27553827,27748216,5126471415;10,764591000,0,0,2765123809,2765123809,641802663038
48;L;25,26;23359433/100000000,22068881/100000000;10,2335943300,2170133312,0,0,6481464823,1156361489327;8,22068881,22044317,0,0,62672356,81412775
48;L;26,27;22068881/100000000,20749561/100000000;8,22068881,22044317,0,0,62672356,81412775;10,2074956100,2240864737,0,0,6039672733,508726231542
48;L;27,28;20749561/100000000,9741677/50000000;10,2074956100,2240864737,0,0,6039672733,508726231542;10,1948335400,2277297809,0,0,5812109904,1152948910303
48;L;28,29;9741677/50000000,4753403/25000000;10,1948335400,2277297809,0,0,5812109904,1152948910303;10,1901361200,2291217331,0,0,5725167857,151299263990
48;L;29,30;4753403/25000000,18270259/100000000;10,1901361200,2291217331,0,0,5725167857,151299263990;8,18270259,23137309,0,0,55845471,101026678
48;L;30,31;18270259/100000000,4277569/25000000;8,18270259,23137309,0,0,55845471,101026678;8,17110276,23501640,0,0,53569843,38265751
48;L;31,32;4277569/25000000,3200681/20000000;8,17110276,23501640,0,0,53569843,38265751;10,1600340500,2386597026,0,0,5129421417,562309667435
48;L;32,33;3200681/20000000,14949647/100000000;10,1600340500,2386597026,0,0,5129421417,562309667435;8,14949647,24230301,0,0,49018586,140010003
48;L;33,34;14949647/100000000,13949/100000;8,14949647,24230301,0,0,49018586,140010003;10,1394900000,2459463170,0,0,4674295759,72808165019
48;L;34,35;13949/100000,6500733/50000000;10,1394900000,2459463170,0,0,4674295759,72808165019;10,1300146600,2495896242,0,0,4446732931,189530426675
48;L;35,36;6500733/50000000,2421409/20000000;10,1300146600,2495896242,0,0,4446732931,189530426675;8,12107045,25323294,0,0,42191702,63332760
48;L;36,37;2421409/20000000,2253147/20000000;8,12107045,25323294,0,0,42191702,63332760;8,11265735,25687624,0,0,39916073,89493295
48;L;37,38;2253147/20000000,10477537/100000000;8,11265735,25687624,0,0,39916073,89493295;10,1047753700,2605195459,0,0,3764044444,43998510183
48;L;38,39;10477537/100000000,2435613/25000000;10,1047753700,2605195459,0,0,3764044444,43998510183;10,974245200,2641628531,0,0,3536481615,490973773814
48;L;39,40;2435613/25000000,9060479/100000000;10,974245200,2641628531,0,0,3536481615,490973773814;10,906047900,2678061604,0,0,3308918786,512837233388
48;L;40,41;9060479/100000000,4215809/50000000;10,906047900,2678061604,0,0,3308918786,512837233388;10,843161800,2714494676,0,0,3081355958,114065557260
48;L;41,42;4215809/50000000,785587/10000000;10,843161800,2714494676,0,0,3081355958,114065557260;8,7855870,27509278,0,0,28537932,61082092
48;L;42,43;785587/10000000,764591/10000000;8,7855870,27509278,0,0,28537932,61082092;10,764591000,2765123809,0,0,2765123809,641802663038
49;C;0,1;4689907/12500000;2,37,0,0,1,61,3678;2,37,0,0,1,61,3678
50;C;0,1;4689907/12500000;2,37,0,0,61,0,3679;2,37,1,0,61,0,3678
51;C;0,1;4689907/12500000;2,37,0,0,0,61,3679;2,37,1,0,0,61,3678
52;C;0,29;4753403/25000000;2,19,0,0,19,19,3078;2,19,0,0,21,21,2918
53;C;0,29;4753403/25000000;2,19,0,0,1,19,3438;2,19,0,0,1,21,3358
54;C;0,29;4753403/25000000;2,19,0,0,0,26,3124;2,19,1,0,0,21,3358
55;C;1,29;4753403/25000000;2,19,1,0,0,61,78;2,19,1,0,0,21,3358
56;C;0,1;4689907/12500000;2,37,0,1,1,46,5282;2,37,0,1,1,46,5282
57;C;0,29;4753403/25000000;2,19,0,1,1,1,3797;2,19,0,1,1,1,3797
58;C;0,1;4689907/12500000;2,37,0,0,0,46,5284;2,37,1,1,0,46,5282
59;C;0,29;4753403/25000000;2,19,0,0,0,22,3316;2,19,1,1,0,1,3797
60;C;1,29;4753403/25000000;2,19,1,1,0,46,1682;2,19,1,1,0,1,3797
61;C;0,1;4689907/12500000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
62;C;0,1;4689907/12500000;2,37,0,0,61,16,3423;2,37,0,0,61,16,3423
63;C;0,1;4689907/12500000;2,37,0,0,16,61,3423;2,37,0,0,16,61,3423
64;C;0,29;4753403/25000000;2,19,0,0,15,26,2899;2,19,0,0,21,21,2918
65;C;1,15;27457741/100000000;2,27,16,0,0,61,1423;2,27,18,0,0,41,3395
65;C;15,29;4753403/25000000;2,19,18,0,0,41,1795;2,19,21,0,0,21,2918
MASS SLACK NUMERATOR 22040052886149469346772126190663385569872711486709516391106420708568204466946089068054754835191336069
BIN 39: STAR; (8/7,41/35]; gamma0=729/1250; mass ceiling=96587997/100000000.
GAMMA 0=729/1250;1=5857/10000;2=2941/5000;3=5907/10000;4=1483/2500;5=88493580000/149055644567;6=31728186000/53404027021;7=5957/10000;8=76622490000/128483045597;9=86335200000/144738884567;10=2991/5000;11=6007/10000;12=377/625;13=6057/10000;14=48563550000/79856902577;15=3041/5000;16=6107/10000;17=1533/2500;18=79860060000/129742460327;19=6157/10000;20=38131380000/61777951967;21=3091/5000;22=6207/10000;23=779/1250;24=6257/10000;25=3141/5000;26=6307/10000;27=1583/2500;28=6357/10000;29=3191/5000;30=6407/10000;31=402/625;32=6457/10000;33=3241/5000;34=6507/10000;35=34803877500/53404027021;36=1633/2500;37=6557/10000;38=48347712000/73512344567;39=3291/5000;40=6607/10000;41=829/1250;42=6657/10000;43=3341/5000;44=6707/10000;45=54678960000/81426404567;46=1683/2500;47=6757/10000;48=3391/5000;49=6807/10000;50=427/625;51=6857/10000;52=3441/5000;53=50721930000/73512344567;54=6907/10000;55=1733/2500;56=6957/10000;57=3491/5000;58=7007/10000;59=879/1250;60=7057/10000;61=3541/5000;62=7107/10000;63=1783/2500;64=7157/10000;65=3591/5000;66=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,35096380,35392113;1,2,35392113,35689103;2,3,35689103,35987348;3,4,35987348,36286849;4,5,36286849,36346290;5,6,36346290,36068924;6,7,36068924,35543035;7,8,35543035,35564842;8,9,35564842,35579952;9,10,35579952,35784324;10,11,35784324,36084049;11,12,36084049,36385024;12,13,36385024,36687249;13,14,36687249,36982472;14,15,36982472,36852431;15,16,36852431,32401760;16,17,32401760,29033265;17,18,29033265,28288387;18,19,28288387,28234827;19,20,28234827,27768573;20,21,27768573,27483492;21,22,27483492,26779261;22,23,26779261,26122133;23,24,26122133,25512110;24,25,25512110,24949190;25,26,24949190,24433373;26,27,24433373,23964661;27,28,23964661,23543052;28,29,23543052,23168546;29,30,23168546,22841145;30,31,22841145,22560847;31,32,22560847,22327653;32,33,22327653,22141562;33,34,22141562,22002575;34,35,22002575,21959827;35,36,21959827,21910692;36,37,21910692,21865912;37,38,21865912,21863883;38,39,21863883,21868237;39,40,21868237,21917664;40,41,21917664,22014196;41,42,22014196,22157825;42,43,22157825,22324562;43,44,22324562,22491925;44,45,22491925,22546544;45,46,22546544,22659912;46,47,22659912,22828525;47,48,22828525,22997762;48,49,22997762,23167625;49,50,23167625,23338112;50,51,23338112,23509225;51,52,23509225,23680962;52,53,23680962,23803510;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0;63,64,0,0;64,65,0,0;65,66,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;45071601031/9442912500,9/5,149055644567/75543300000;-642025801103
7;2,3,5;3/7,13/5,53/105;-38
8;1,4,8;135963990677/37771650000,1/5,149055644567/75543300000;-3325027403309
15;2,3,7;41/35,43/15,53/105;-12
16;1,4,10;135963990677/37771650000,1/5,149055644567/75543300000;-3325027403309
23;2,3,9;41/35,43/15,53/105;-12
24;1,4,12;135963990677/37771650000,1/5,149055644567/75543300000;-3325027403309
31;2,3,11;41/35,43/15,53/105;-12
32;1,4,6;118838324567/18885825000,4/5,149055644567/75543300000;-9275607209927
33;1,4,6;48331244567/12590550000,4,149055644567/75543300000;-527127403309
34;1,4,6;48331244567/12590550000,4,149055644567/75543300000;-527127403309
36;1,4,6;48331244567/12590550000,4,149055644567/75543300000;-527127403309
39;2,3,5;10/7,13/5,47/70;-41
40;0,1,8;4/5,2,1;-1
44;1,4,8;48331244567/12590550000,4,149055644567/75543300000;-527127403309
48;0,1,10;4/5,2,1;-1
52;1,4,10;48331244567/12590550000,4,149055644567/75543300000;-527127403309
56;0,1,12;4/5,2,1;-1
60;1,4,12;48331244567/12590550000,4,149055644567/75543300000;-527127403309
64;0,1,6;1/5,4,1;-3
65;1,4,6;64560463517/12590550000,3,149055644567/75543300000;-467157051103
66;1,4,6;64560463517/12590550000,3,149055644567/75543300000;-467157051103
68;1,4,6;64560463517/12590550000,3,149055644567/75543300000;-467157051103
71;2,3,5;17/7,31/10,129/140;-47
72;0,1,8;9/5,2,1;-1
73;1,4,8;11238627229/2360728125,7/5,149055644567/75543300000;-1576339903309
74;1,4,8;11238627229/2360728125,7/5,149055644567/75543300000;-1576339903309
76;1,4,8;64560463517/12590550000,3,149055644567/75543300000;-467157051103
80;0,1,10;9/5,2,1;-1
81;1,4,10;11238627229/2360728125,7/5,149055644567/75543300000;-1576339903309
82;1,4,10;11238627229/2360728125,7/5,149055644567/75543300000;-1576339903309
84;1,4,10;64560463517/12590550000,3,149055644567/75543300000;-467157051103
88;0,1,12;9/5,2,1;-1
89;1,4,12;11238627229/2360728125,7/5,149055644567/75543300000;-1576339903309
90;1,4,12;11238627229/2360728125,7/5,149055644567/75543300000;-1576339903309
92;1,4,12;64560463517/12590550000,3,149055644567/75543300000;-467157051103
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;2534790884185,1942953232813497800000,2740334410835,385
2;1,4,6,3;2534790884185,1942953232813497800000,2740334410835,385
3;5,4,2,3;71692545883,809223753184003325000,10220381173555,203
4;1,4,6,3;2534790884185,1942953232813497800000,2740334410835,385
5;5,4,2,3;71692545883,809223753184003325000,10220381173555,203
6;5,4,2,3;71692545883,809223753184003325000,10220381173555,203
9;1,4,8,3;2534790884185,1343716024257937225000,71692545883,259
10;1,4,8,3;2534790884185,1343716024257937225000,71692545883,259
11;7,4,2,3;71692545883,809223753184003325000,10220381173555,203
12;1,4,8,3;2534790884185,1942953232813497800000,2740334410835,385
13;7,4,2,3;2740334410835,4441167961407342200000,10220381173555,3745
14;7,4,2,3;2740334410835,4441167961407342200000,10220381173555,3745
17;1,4,10,3;2534790884185,1343716024257937225000,71692545883,259
18;1,4,10,3;2534790884185,1343716024257937225000,71692545883,259
19;9,4,2,3;71692545883,809223753184003325000,10220381173555,203
20;1,4,10,3;2534790884185,1942953232813497800000,2740334410835,385
21;9,4,2,3;2740334410835,4441167961407342200000,10220381173555,3745
22;9,4,2,3;2740334410835,4441167961407342200000,10220381173555,3745
25;1,4,12,3;2534790884185,1343716024257937225000,71692545883,259
26;1,4,12,3;2534790884185,1343716024257937225000,71692545883,259
27;11,4,2,3;71692545883,809223753184003325000,10220381173555,203
28;1,4,12,3;2534790884185,1942953232813497800000,2740334410835,385
29;11,4,2,3;2740334410835,4441167961407342200000,10220381173555,3745
30;11,4,2,3;2740334410835,4441167961407342200000,10220381173555,3745
35;5,4,2,6,3;623350816837,1798151998414125550000,6337167417275,55,77
37;5,4,2,6,3;623350816837,1798151998414125550000,6337167417275,55,77
38;5,4,2,6,3;623350816837,1798151998414125550000,6337167417275,55,77
41;1,4,8,3;2534790884185,241105670390874450000,623350816837,7
42;1,4,8,3;2534790884185,241105670390874450000,623350816837,7
43;7,4,2,3;623350816837,1798151998414125550000,25438293768370,231
45;1,4,2,8,3;2534790884185,4892652756250000000000,6337167417275,55,1645
46;1,4,2,8,3;2534790884185,4892652756250000000000,6337167417275,55,1645
47;7,2,3;55,55,385
49;1,4,10,3;2534790884185,241105670390874450000,623350816837,7
50;1,4,10,3;2534790884185,241105670390874450000,623350816837,7
51;9,4,2,3;623350816837,1798151998414125550000,25438293768370,231
53;1,4,2,10,3;2534790884185,4892652756250000000000,6337167417275,55,1645
54;1,4,2,10,3;2534790884185,4892652756250000000000,6337167417275,55,1645
55;9,2,3;55,55,385
57;1,4,12,3;2534790884185,241105670390874450000,623350816837,7
58;1,4,12,3;2534790884185,241105670390874450000,623350816837,7
59;11,4,2,3;623350816837,1798151998414125550000,25438293768370,231
61;1,4,2,12,3;2534790884185,4892652756250000000000,6337167417275,55,1645
62;1,4,2,12,3;2534790884185,4892652756250000000000,6337167417275,55,1645
63;11,2,3;55,55,385
67;1,4,2,6,3;2534790884185,1223163189062500000000,224906420275,95,140
69;1,4,2,6,3;2534790884185,1223163189062500000000,224906420275,95,140
70;1,4,2,6,3;2534790884185,1223163189062500000000,224906420275,95,140
75;1,4,2,3;2534790884185,1223163189062500000000,7904488453540,1225
77;1,4,2,8,3;2534790884185,1223163189062500000000,224906420275,95,140
78;1,4,2,8,3;2534790884185,1223163189062500000000,224906420275,95,140
79;7,2,3;95,95,665
83;1,4,2,3;2534790884185,1223163189062500000000,7904488453540,1225
85;1,4,2,10,3;2534790884185,1223163189062500000000,224906420275,95,140
86;1,4,2,10,3;2534790884185,1223163189062500000000,224906420275,95,140
87;9,2,3;95,95,665
91;1,4,2,3;2534790884185,1223163189062500000000,7904488453540,1225
93;1,4,2,12,3;2534790884185,1223163189062500000000,224906420275,95,140
94;1,4,2,12,3;2534790884185,1223163189062500000000,224906420275,95,140
95;11,2,3;95,95,665
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;3;V;3,5
6;3;V;2,3
7;3;E;4,5
8;3;E;4,2
9;3;E;4,3
10;12;V;3,1
11;12;E;4,1
12;12;E;4,3
13;13;V;2,3
14;13;E;4,2
15;13;E;4,3
16;35;V;3,5
17;35;V;2,6
18;35;V;6,3
19;35;E;4,5
20;35;E;4,2
21;35;E;4,6
22;35;E;4,3
23;41;V;3,1
24;41;E;4,1
25;41;E;4,3
26;43;V;2,3
27;45;V;3,1
28;45;E;4,1
29;45;E;4,2
30;45;E;4,3
31;47;V;2,3
32;47;E;4,2
33;47;E;4,3
34;67;V;3,1
35;67;V;2,6
36;67;V;6,3
37;67;E;4,1
38;67;E;4,2
39;67;E;4,6
40;67;E;4,3
41;75;V;2,3
42;77;V;3,1
43;77;E;4,1
44;77;E;4,2
45;77;E;4,3
46;79;V;2,3
47;79;E;4,2
48;79;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/5;V/6,3/1/0/8;E/4,1/2/0/5;E/4,6/3/0/8;E/4,3/4/5/8
2:V/3,1/0/0/5;V/6,3/1/0/8;E/4,1/2/0/5;E/4,6/3/0/8;E/4,3/4/5/8
3:V/3,5/5/0/14;V/2,3/6/0/20;E/4,5/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
4:V/3,1/0/0/5;V/6,3/1/0/8;E/4,1/2/0/5;E/4,6/3/0/8;E/4,3/4/5/8
5:V/3,5/5/0/14;V/2,3/6/0/20;E/4,5/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
6:V/3,5/5/0/14;V/2,3/6/0/20;E/4,5/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
9:V/3,1/0/0/5;V/8,3/5/0/14;E/4,1/2/0/5;E/4,8/7/0/14;E/4,3/4/5/14
10:V/3,1/0/0/5;V/8,3/5/0/14;E/4,1/2/0/5;E/4,8/7/0/14;E/4,3/4/5/14
11:V/3,7/5/0/14;V/2,3/6/0/20;E/4,7/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
12:V/3,1/10/0/5;V/8,3/1/0/8;E/4,1/11/0/5;E/4,8/3/0/8;E/4,3/12/5/8
13:V/3,7/1/0/8;V/2,3/13/0/20;E/4,7/3/0/8;E/4,2/14/0/20;E/4,3/15/8/20
14:V/3,7/1/0/8;V/2,3/13/0/20;E/4,7/3/0/8;E/4,2/14/0/20;E/4,3/15/8/20
17:V/3,1/0/0/5;V/10,3/5/0/14;E/4,1/2/0/5;E/4,10/7/0/14;E/4,3/4/5/14
18:V/3,1/0/0/5;V/10,3/5/0/14;E/4,1/2/0/5;E/4,10/7/0/14;E/4,3/4/5/14
19:V/3,9/5/0/14;V/2,3/6/0/20;E/4,9/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
20:V/3,1/10/0/5;V/10,3/1/0/8;E/4,1/11/0/5;E/4,10/3/0/8;E/4,3/12/5/8
21:V/3,9/1/0/8;V/2,3/13/0/20;E/4,9/3/0/8;E/4,2/14/0/20;E/4,3/15/8/20
22:V/3,9/1/0/8;V/2,3/13/0/20;E/4,9/3/0/8;E/4,2/14/0/20;E/4,3/15/8/20
25:V/3,1/0/0/5;V/12,3/5/0/14;E/4,1/2/0/5;E/4,12/7/0/14;E/4,3/4/5/14
26:V/3,1/0/0/5;V/12,3/5/0/14;E/4,1/2/0/5;E/4,12/7/0/14;E/4,3/4/5/14
27:V/3,11/5/0/14;V/2,3/6/0/20;E/4,11/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
28:V/3,1/10/0/5;V/12,3/1/0/8;E/4,1/11/0/5;E/4,12/3/0/8;E/4,3/12/5/8
29:V/3,11/1/0/8;V/2,3/13/0/20;E/4,11/3/0/8;E/4,2/14/0/20;E/4,3/15/8/20
30:V/3,11/1/0/8;V/2,3/13/0/20;E/4,11/3/0/8;E/4,2/14/0/20;E/4,3/15/8/20
35:V/3,5/16/0/9;V/2,6/17/0/38;V/6,3/18/0/45;E/4,5/19/0/9;E/4,2/20/0/38;E/4,6/21/38/45;E/4,3/22/9/45
37:V/3,5/16/0/9;V/2,6/17/0/38;V/6,3/18/0/45;E/4,5/19/0/9;E/4,2/20/0/38;E/4,6/21/38/45;E/4,3/22/9/45
38:V/3,5/16/0/9;V/2,6/17/0/38;V/6,3/18/0/45;E/4,5/19/0/9;E/4,2/20/0/38;E/4,6/21/38/45;E/4,3/22/9/45
41:V/3,1/23/0/5;V/8,3/16/0/9;E/4,1/24/0/5;E/4,8/19/0/9;E/4,3/25/5/9
42:V/3,1/23/0/5;V/8,3/16/0/9;E/4,1/24/0/5;E/4,8/19/0/9;E/4,3/25/5/9
43:V/3,7/16/0/9;V/2,3/26/0/53;E/4,7/19/0/9;E/4,2/20/0/53;E/4,3/22/9/53
45:V/3,1/27/0/5;V/2,8/17/0/38;V/8,3/18/0/45;E/4,1/28/0/5;E/4,2/29/0/38;E/4,8/21/38/45;E/4,3/30/5/45
46:V/3,1/27/0/5;V/2,8/17/0/38;V/8,3/18/0/45;E/4,1/28/0/5;E/4,2/29/0/38;E/4,8/21/38/45;E/4,3/30/5/45
47:V/3,7/18/0/45;V/7,2/17/0/38;V/2,3/31/0/53;E/4,7/21/38/45;E/4,2/32/38/53;E/4,3/33/45/53
49:V/3,1/23/0/5;V/10,3/16/0/9;E/4,1/24/0/5;E/4,10/19/0/9;E/4,3/25/5/9
50:V/3,1/23/0/5;V/10,3/16/0/9;E/4,1/24/0/5;E/4,10/19/0/9;E/4,3/25/5/9
51:V/3,9/16/0/9;V/2,3/26/0/53;E/4,9/19/0/9;E/4,2/20/0/53;E/4,3/22/9/53
53:V/3,1/27/0/5;V/2,10/17/0/38;V/10,3/18/0/45;E/4,1/28/0/5;E/4,2/29/0/38;E/4,10/21/38/45;E/4,3/30/5/45
54:V/3,1/27/0/5;V/2,10/17/0/38;V/10,3/18/0/45;E/4,1/28/0/5;E/4,2/29/0/38;E/4,10/21/38/45;E/4,3/30/5/45
55:V/3,9/18/0/45;V/9,2/17/0/38;V/2,3/31/0/53;E/4,9/21/38/45;E/4,2/32/38/53;E/4,3/33/45/53
57:V/3,1/23/0/5;V/12,3/16/0/9;E/4,1/24/0/5;E/4,12/19/0/9;E/4,3/25/5/9
58:V/3,1/23/0/5;V/12,3/16/0/9;E/4,1/24/0/5;E/4,12/19/0/9;E/4,3/25/5/9
59:V/3,11/16/0/9;V/2,3/26/0/53;E/4,11/19/0/9;E/4,2/20/0/53;E/4,3/22/9/53
61:V/3,1/27/0/5;V/2,12/17/0/38;V/12,3/18/0/45;E/4,1/28/0/5;E/4,2/29/0/38;E/4,12/21/38/45;E/4,3/30/5/45
62:V/3,1/27/0/5;V/2,12/17/0/38;V/12,3/18/0/45;E/4,1/28/0/5;E/4,2/29/0/38;E/4,12/21/38/45;E/4,3/30/5/45
63:V/3,11/18/0/45;V/11,2/17/0/38;V/2,3/31/0/53;E/4,11/21/38/45;E/4,2/32/38/53;E/4,3/33/45/53
67:V/3,1/34/0/5;V/2,6/35/0/6;V/6,3/36/0/18;E/4,1/37/0/5;E/4,2/38/0/6;E/4,6/39/6/18;E/4,3/40/5/18
69:V/3,1/34/0/5;V/2,6/35/0/6;V/6,3/36/0/18;E/4,1/37/0/5;E/4,2/38/0/6;E/4,6/39/6/18;E/4,3/40/5/18
70:V/3,1/34/0/5;V/2,6/35/0/6;V/6,3/36/0/18;E/4,1/37/0/5;E/4,2/38/0/6;E/4,6/39/6/18;E/4,3/40/5/18
75:V/3,1/34/0/5;V/2,3/41/0/35;E/4,1/37/0/5;E/4,2/38/0/35;E/4,3/40/5/35
77:V/3,1/42/0/5;V/2,8/35/0/6;V/8,3/36/0/18;E/4,1/43/0/5;E/4,2/44/0/6;E/4,8/39/6/18;E/4,3/45/5/18
78:V/3,1/42/0/5;V/2,8/35/0/6;V/8,3/36/0/18;E/4,1/43/0/5;E/4,2/44/0/6;E/4,8/39/6/18;E/4,3/45/5/18
79:V/3,7/36/0/18;V/7,2/35/0/6;V/2,3/46/0/35;E/4,7/39/6/18;E/4,2/47/6/35;E/4,3/48/18/35
83:V/3,1/34/0/5;V/2,3/41/0/35;E/4,1/37/0/5;E/4,2/38/0/35;E/4,3/40/5/35
85:V/3,1/42/0/5;V/2,10/35/0/6;V/10,3/36/0/18;E/4,1/43/0/5;E/4,2/44/0/6;E/4,10/39/6/18;E/4,3/45/5/18
86:V/3,1/42/0/5;V/2,10/35/0/6;V/10,3/36/0/18;E/4,1/43/0/5;E/4,2/44/0/6;E/4,10/39/6/18;E/4,3/45/5/18
87:V/3,9/36/0/18;V/9,2/35/0/6;V/2,3/46/0/35;E/4,9/39/6/18;E/4,2/47/6/35;E/4,3/48/18/35
91:V/3,1/34/0/5;V/2,3/41/0/35;E/4,1/37/0/5;E/4,2/38/0/35;E/4,3/40/5/35
93:V/3,1/42/0/5;V/2,12/35/0/6;V/12,3/36/0/18;E/4,1/43/0/5;E/4,2/44/0/6;E/4,12/39/6/18;E/4,3/45/5/18
94:V/3,1/42/0/5;V/2,12/35/0/6;V/12,3/36/0/18;E/4,1/43/0/5;E/4,2/44/0/6;E/4,12/39/6/18;E/4,3/45/5/18
95:V/3,11/36/0/18;V/11,2/35/0/6;V/2,3/46/0/35;E/4,11/39/6/18;E/4,2/47/6/35;E/4,3/48/18/35
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;1754819/5000000,35392113/100000000;4,3509,0,1457,5832,5832,32703;4,3539,0,1463,5857,5857,30733
0;L;1,2;35392113/100000000,35689103/100000000;4,3539,0,1463,5857,5857,30733;4,3568,0,1469,5882,5882,6191
0;L;2,3;35689103/100000000,8996837/25000000;4,3568,0,1469,5882,5882,6191;6,359873,0,147504,590700,590700,135589984
0;L;3,4;8996837/25000000,36286849/100000000;6,359873,0,147504,590700,590700,135589984;6,362868,0,148128,593200,593200,21615616
0;L;4,5;36286849/100000000,3634629/10000000;6,362868,0,148128,593200,593200,21615616;10,3634629000,0,1482513465,5936949269,5936949269,580734425053
1;C;0,2;1754819/5000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
1;C;2,4;35689103/100000000;2,35,0,0,59,59,38;4,3568,0,0,5932,5932,982752
1;C;4,6;9017231/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
1;C;6,7;7108607/20000000;4,3554,0,0,5942,5942,465272;4,3554,0,0,5957,5957,108302
1;L;7,8;7108607/20000000,17782421/50000000;4,3554,0,0,5957,5957,108302;10,3556484200,0,0,5963626535,5963626535,1102087787550
2;L;0,1;1754819/5000000,35392113/100000000;8,35096380,0,58320000,58320000,14725183,185616511;8,35392113,0,58570000,58570000,14748993,5485951
2;L;1,2;35392113/100000000,35689103/100000000;8,35392113,0,58570000,58570000,14748993,5485951;8,35689103,0,58820000,58820000,14772803,91523191
2;L;2,3;35689103/100000000,8996837/25000000;8,35689103,0,58820000,58820000,14772803,91523191;8,35987348,0,59070000,59070000,14796612,73321456
2;L;3,4;8996837/25000000,36286849/100000000;8,35987348,0,59070000,59070000,14796612,73321456;8,36286849,0,59320000,59320000,14820422,91741916
2;L;4,5;36286849/100000000,3634629/10000000;8,36286849,0,59320000,59320000,14820422,91741916;10,3634629000,0,5936949269,5936949269,1482513465,580734425053
3;C;0,2;1754819/5000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
3;C;2,4;35689103/100000000;2,35,0,0,59,59,38;4,3568,0,0,5932,5932,982752
3;C;4,6;9017231/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
3;C;6,7;7108607/20000000;4,3554,0,0,5942,5942,465272;4,3554,0,0,5957,5957,108302
3;L;7,8;7108607/20000000,17782421/50000000;4,3554,0,0,5957,5957,108302;10,3556484200,0,0,5963626535,5963626535,1102087787550
4;L;5,6;3634629/10000000,9017231/25000000;10,3634629000,5936949269,5936949269,0,1482513465,580734425053;10,3606892400,5941159829,5941159829,0,1242210617,555565860829
4;L;6,7;9017231/25000000,7108607/20000000;10,3606892400,5941159829,5941159829,0,1242210617,555565860829;8,35543035,59570000,59570000,0,3381887,40319231
4;L;7,8;7108607/20000000,17782421/50000000;8,35543035,59570000,59570000,0,3381887,40319231;10,3556484200,5963626535,5963626535,0,0,1102087787550
4;L;8,9;17782421/50000000,2223747/6250000;10,3556484200,5963626535,5963626535,0,0,1102087787550;10,3557995200,5964893281,5964893281,0,0,292562110078
4;L;9,10;2223747/6250000,8946081/25000000;10,3557995200,5964893281,5964893281,0,0,292562110078;8,35784324,59820000,59820000,0,0,0
4;L;10,11;8946081/25000000,36084049/100000000;8,35784324,59820000,59820000,0,0,0;8,36084049,60070000,60070000,0,0,0
4;L;11,12;36084049/100000000,142129/390625;8,36084049,60070000,60070000,0,0,0;8,36385024,60320000,60320000,0,0,0
4;L;12,13;142129/390625,36687249/100000000;8,36385024,60320000,60320000,0,0,0;8,36687249,60570000,60570000,0,0,0
4;L;13,14;36687249/100000000,4622809/12500000;8,36687249,60570000,60570000,0,0,0;10,3698247200,6081321518,6081321518,0,0,1189420351352
5;C;0,3;1754819/5000000;2,35,0,0,59,59,38;4,3509,0,0,5907,5907,394702
5;C;3,7;7108607/20000000;4,3554,0,0,5907,5907,1294702;4,3554,0,0,5957,5957,108302
5;L;7,8;7108607/20000000,17782421/50000000;4,3554,0,0,5957,5957,108302;10,3556484200,0,0,5963626535,5963626535,1102087787550
5;L;8,9;17782421/50000000,2223747/6250000;10,3556484200,0,0,5963626535,5963626535,1102087787550;10,3557995200,0,0,5964893281,5964893281,292562110078
5;L;9,10;2223747/6250000,8946081/25000000;10,3557995200,0,0,5964893281,5964893281,292562110078;8,35784324,0,0,59820000,59820000,0
5;L;10,11;8946081/25000000,36084049/100000000;8,35784324,0,0,59820000,59820000,0;8,36084049,0,0,60070000,60070000,0
5;L;11,12;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
5;L;12,13;142129/390625,36687249/100000000;8,36385024,0,0,60320000,60320000,0;8,36687249,0,0,60570000,60570000,0
5;L;13,14;36687249/100000000,4622809/12500000;8,36687249,0,0,60570000,60570000,0;10,3698247200,0,0,6081321518,6081321518,1189420351352
6;C;0,20;27768573/100000000;2,27,0,0,30,59,1019;2,27,0,0,32,62,532
7;C;0,3;1754819/5000000;2,35,0,0,59,59,38;4,3509,0,0,5907,5907,394702
7;C;3,7;7108607/20000000;4,3554,0,0,5907,5907,1294702;4,3554,0,0,5957,5957,108302
7;L;7,8;7108607/20000000,17782421/50000000;4,3554,0,0,5957,5957,108302;10,3556484200,0,0,5963626535,5963626535,1102087787550
7;L;8,9;17782421/50000000,2223747/6250000;10,3556484200,0,0,5963626535,5963626535,1102087787550;10,3557995200,0,0,5964893281,5964893281,292562110078
7;L;9,10;2223747/6250000,8946081/25000000;10,3557995200,0,0,5964893281,5964893281,292562110078;8,35784324,0,0,59820000,59820000,0
7;L;10,11;8946081/25000000,36084049/100000000;8,35784324,0,0,59820000,59820000,0;8,36084049,0,0,60070000,60070000,0
7;L;11,12;36084049/100000000,142129/390625;8,36084049,0,0,60070000,60070000,0;8,36385024,0,0,60320000,60320000,0
7;L;12,13;142129/390625,36687249/100000000;8,36385024,0,0,60320000,60320000,0;8,36687249,0,0,60570000,60570000,0
7;L;13,14;36687249/100000000,4622809/12500000;8,36687249,0,0,60570000,60570000,0;10,3698247200,0,0,6081321518,6081321518,1189420351352
8;C;0,20;27768573/100000000;2,27,0,0,59,34,763;2,27,0,0,62,32,532
9;L;14,15;4622809/12500000,36852431/100000000;10,3698247200,6081321518,0,0,6081321518,1189420351352;8,36852431,60820000,0,0,60592192,68635136
9;L;15,16;36852431/100000000,202511/625000;8,36852431,60820000,0,0,60592192,68635136;8,32401760,61070000,0,0,52448137,25229231
9;L;16,17;202511/625000,5806653/20000000;8,32401760,61070000,0,0,52448137,25229231;4,2903,6132,0,0,4431,824815
9;L;17,18;5806653/20000000,28288387/100000000;4,2903,6132,0,0,4431,824815;2,28,62,0,0,37,387
9;C;18,20;27768573/100000000;2,27,62,0,0,37,187;2,27,62,0,0,32,532
10;C;0,2;1754819/5000000;2,35,0,1,59,59,37;2,35,0,1,59,59,37
10;C;2,5;35689103/100000000;2,35,0,1,59,59,37;4,3568,0,42,5937,5937,862298
11;C;0,2;1754819/5000000;2,35,0,59,59,0,38;2,35,0,59,59,0,38
11;C;2,5;35689103/100000000;2,35,0,59,59,0,38;4,3568,42,5937,5937,0,862298
12;C;5,6;9017231/25000000;4,3606,5937,5937,42,0,1622298;4,3606,5942,5942,29,0,1504431
12;C;6,7;7108607/20000000;4,3554,5942,5942,29,0,464431;4,3554,5957,5957,0,0,108302
12;L;7,8;7108607/20000000,17782421/50000000;4,3554,5957,5957,0,0,108302;10,3556484200,5963626535,5963626535,0,0,1102087787550
13;C;0,20;27768573/100000000;2,27,0,0,0,59,1919;2,27,0,0,0,62,1556
14;C;0,20;27768573/100000000;2,27,0,0,59,0,1919;2,27,0,0,62,0,1556
15;C;8,14;17782421/50000000;10,3556484200,5963626535,0,0,5963626535,1102087787550;2,35,61,0,0,0,3279
15;C;14,20;27768573/100000000;2,27,61,0,0,0,1679;2,27,62,0,0,0,1556
16;C;0,2;1754819/5000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
16;C;2,4;35689103/100000000;2,35,0,0,59,59,38;4,3568,0,0,5932,5932,982752
16;C;4,6;9017231/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
16;C;6,7;7108607/20000000;4,3554,0,0,5942,5942,465272;4,3554,0,0,5957,5957,108302
16;L;7,8;7108607/20000000,17782421/50000000;4,3554,0,0,5957,5957,108302;10,3556484200,0,0,5963626535,5963626535,1102087787550
16;L;8,9;17782421/50000000,2223747/6250000;10,3556484200,0,0,5963626535,5963626535,1102087787550;10,3557995200,0,0,5964893281,5964893281,292562110078
17;C;0,38;21863883/100000000;2,21,0,0,0,59,719;4,2186,0,0,0,6577,463071
18;C;0,22;26779261/100000000;2,26,0,0,0,59,1719;2,26,0,0,0,63,1231
18;C;22,33;11070781/50000000;2,22,0,0,0,63,431;2,22,0,0,0,65,175
18;C;33,39;21863883/100000000;4,2186,0,0,0,6482,1703676;4,2186,0,0,0,6582,397276
18;C;39,40;21868237/100000000;4,2186,0,0,0,6582,397276;4,2186,0,0,0,6607,67551
18;L;40,41;684927/3125000,5503549/25000000;4,2191,0,0,0,6607,167551;4,2201,0,0,0,6632,36576
18;L;41,42;5503549/25000000,886313/4000000;4,2201,0,0,0,6632,36576;8,22157825,0,0,0,66570000,100000000
18;L;42,43;886313/4000000,11162281/50000000;8,22157825,0,0,0,66570000,100000000;8,22324562,0,0,0,66820000,0
18;L;43,44;11162281/50000000,899677/4000000;8,22324562,0,0,0,66820000,0;8,22491925,0,0,0,67070000,100000000
18;L;44,45;899677/4000000,1409159/6250000;8,22491925,0,0,0,67070000,100000000;8,22546544,0,0,0,67151387,23976231
19;C;0,2;1754819/5000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
19;C;2,4;35689103/100000000;2,35,0,0,59,59,38;4,3568,0,0,5932,5932,982752
19;C;4,6;9017231/25000000;2,36,0,0,60,60,0;2,36,0,0,60,60,0
19;C;6,7;7108607/20000000;4,3554,0,0,5942,5942,465272;4,3554,0,0,5957,5957,108302
19;L;7,8;7108607/20000000,17782421/50000000;4,3554,0,0,5957,5957,108302;10,3556484200,0,0,5963626535,5963626535,1102087787550
19;L;8,9;17782421/50000000,2223747/6250000;10,3556484200,0,0,5963626535,5963626535,1102087787550;10,3557995200,0,0,5964893281,5964893281,292562110078
20;C;0,26;24433373/100000000;2,24,0,0,59,0,1319;2,24,0,0,64,0,704
20;C;26,39;21863883/100000000;2,21,0,0,64,0,104;4,2186,0,0,6582,0,397276
20;C;39,40;21868237/100000000;4,2186,0,0,6582,0,397276;4,2186,0,0,6607,0,67551
20;L;40,41;684927/3125000,5503549/25000000;4,2191,0,0,6607,0,167551;4,2201,0,0,6632,0,36576
20;L;41,42;5503549/25000000,886313/4000000;4,2201,0,0,6632,0,36576;8,22157825,0,0,66570000,0,100000000
20;L;42,43;886313/4000000,11162281/50000000;8,22157825,0,0,66570000,0,100000000;8,22324562,0,0,66820000,0,0
20;L;43,44;11162281/50000000,899677/4000000;8,22324562,0,0,66820000,0,0;8,22491925,0,0,67070000,0,100000000
20;L;44,45;899677/4000000,1409159/6250000;8,22491925,0,0,67070000,0,100000000;8,22546544,0,0,67151387,0,23976231
20;L;45,46;1409159/6250000,2832489/12500000;8,22546544,0,0,67151387,0,23976231;8,22659912,0,0,67320000,0,0
20;L;46,47;2832489/12500000,913141/4000000;8,22659912,0,0,67320000,0,0;8,22828525,0,0,67570000,0,100000000
20;L;47,48;913141/4000000,11498881/50000000;8,22828525,0,0,67570000,0,100000000;8,22997762,0,0,67820000,0,0
20;L;48,49;11498881/50000000,185341/800000;8,22997762,0,0,67820000,0,0;8,23167625,0,0,68070000,0,100000000
20;L;49,50;185341/800000,182329/781250;8,23167625,0,0,68070000,0,100000000;8,23338112,0,0,68320000,0,0
20;L;50,51;182329/781250,940369/4000000;8,23338112,0,0,68320000,0,0;8,23509225,0,0,68570000,0,100000000
20;L;51,52;940369/4000000,11840481/50000000;8,23509225,0,0,68570000,0,100000000;8,23680962,0,0,68820000,0,0
20;L;52,53;11840481/50000000,2380351/10000000;8,23680962,0,0,68820000,0,0;10,2380351000,0,0,6899784016,0,532550911744
21;C;38,39;21863883/100000000;4,2186,0,0,0,6577,463071;4,2186,0,0,0,6582,397276
21;C;39,40;21868237/100000000;4,2186,0,0,0,6582,397276;4,2186,0,0,0,6607,67551
21;L;40,41;684927/3125000,5503549/25000000;4,2191,0,0,0,6607,167551;4,2201,0,0,0,6632,36576
21;L;41,42;5503549/25000000,886313/4000000;4,2201,0,0,0,6632,36576;8,22157825,0,0,0,66570000,100000000
21;L;42,43;886313/4000000,11162281/50000000;8,22157825,0,0,0,66570000,100000000;8,22324562,0,0,0,66820000,0
21;L;43,44;11162281/50000000,899677/4000000;8,22324562,0,0,0,66820000,0;8,22491925,0,0,0,67070000,100000000
21;L;44,45;899677/4000000,1409159/6250000;8,22491925,0,0,0,67070000,100000000;8,22546544,0,0,0,67151387,23976231
22;C;9,14;2223747/6250000;10,3557995200,5964893281,0,0,5964893281,292562110078;2,35,61,0,0,50,779
22;C;14,15;36852431/100000000;2,36,61,0,0,50,979;2,36,61,0,0,50,979
22;C;15,16;202511/625000;2,32,61,0,0,50,179;2,32,62,0,0,48,252
22;L;16,17;202511/625000,5806653/20000000;2,32,62,0,0,48,252;8,29033265,61320000,0,0,45238375,27359375
22;L;17,18;5806653/20000000,28288387/100000000;8,29033265,61320000,0,0,45238375,27359375;8,28288387,61552756,0,0,43231188,12913120
22;L;18,19;28288387/100000000,28234827/100000000;8,28288387,61552756,0,0,43231188,12913120;8,28234827,61570000,0,0,43082483,158554711
22;L;19,20;28234827/100000000,27768573/100000000;8,28234827,61570000,0,0,43082483,158554711;10,2776857300,6172328280,0,0,4176063849,332987546799
22;L;20,21;27768573/100000000,6870873/25000000;10,2776857300,6172328280,0,0,4176063849,332987546799;8,27483492,61820000,0,0,40926592,67265536
22;L;21,22;6870873/25000000,26779261/100000000;8,27483492,61820000,0,0,40926592,67265536;8,26779261,62070000,0,0,38770700,121510000
22;L;22,23;26779261/100000000,26122133/100000000;8,26779261,62070000,0,0,38770700,121510000;10,2612213300,6232000000,0,0,3661480825,168157319375
22;L;23,24;26122133/100000000,2551211/10000000;10,2612213300,6232000000,0,0,3661480825,168157319375;8,25512110,62570000,0,0,34458917,139187111
22;L;24,25;2551211/10000000,2494919/10000000;8,25512110,62570000,0,0,34458917,139187111;8,24949190,62820000,0,0,32303026,111243324
22;L;25,26;2494919/10000000,24433373/100000000;8,24949190,62820000,0,0,32303026,111243324;8,24433373,63070000,0,0,30147134,11586044
22;L;26,27;24433373/100000000,23964661/100000000;8,24433373,63070000,0,0,30147134,11586044;8,23964661,63320000,0,0,27991243,115314951
22;L;27,28;23964661/100000000,5885763/25000000;8,23964661,63320000,0,0,27991243,115314951;8,23543052,63570000,0,0,25835351,138706799
22;L;28,29;5885763/25000000,11584273/50000000;8,23543052,63570000,0,0,25835351,138706799;10,2316854600,6382000000,0,0,2367945907,181521947351
22;L;29,30;11584273/50000000,4568229/20000000;10,2316854600,6382000000,0,0,2367945907,181521947351;8,22841145,64070000,0,0,21523568,120549376
22;L;30,31;4568229/20000000,22560847/100000000;8,22841145,64070000,0,0,21523568,120549376;8,22560847,64320000,0,0,19367677,87623671
22;L;31,32;22560847/100000000,22327653/100000000;8,22560847,64320000,0,0,19367677,87623671;8,22327653,64570000,0,0,17211785,157113775
22;L;32,33;22327653/100000000,11070781/50000000;8,22327653,64570000,0,0,17211785,157113775;8,22141562,64820000,0,0,15055893,85972551
22;L;33,34;11070781/50000000,880103/4000000;8,22141562,64820000,0,0,15055893,85972551;8,22002575,65070000,0,0,12900002,48399996
22;L;34,35;880103/4000000,21959827/100000000;8,22002575,65070000,0,0,12900002,48399996;10,2195982700,6517088588,0,0,1203000545,24889869231
22;L;35,36;21959827/100000000,5477673/25000000;10,2195982700,6517088588,0,0,1203000545,24889869231;8,21910692,65320000,0,0,10744110,100307900
22;L;36,37;5477673/25000000,2733239/12500000;8,21910692,65320000,0,0,10744110,100307900;10,2186591200,6557000000,0,0,858821836,54009589104
22;L;37,38;2733239/12500000,21863883/100000000;10,2186591200,6557000000,0,0,858821836,54009589104;10,2186388300,6576815403,0,0,687942405,402264763566
22;L;38,39;21863883/100000000,21868237/100000000;10,2186388300,6576815403,0,0,687942405,402264763566;8,21868237,65820000,0,0,6432327,169365071
22;L;39,40;21868237/100000000,684927/3125000;8,21868237,65820000,0,0,6432327,169365071;10,2191766400,6607000000,0,0,427643530,11249139100
22;L;40,41;684927/3125000,5503549/25000000;10,2191766400,6607000000,0,0,427643530,11249139100;8,22014196,66320000,0,0,2120544,93144064
22;L;41,42;5503549/25000000,886313/4000000;8,22014196,66320000,0,0,2120544,93144064;8,22157825,66570000,0,0,0,100000000
22;L;42,43;886313/4000000,11162281/50000000;8,22157825,66570000,0,0,0,100000000;8,22324562,66820000,0,0,0,0
22;L;43,44;11162281/50000000,899677/4000000;8,22324562,66820000,0,0,0,0;8,22491925,67070000,0,0,0,100000000
22;L;44,45;899677/4000000,1409159/6250000;8,22491925,67070000,0,0,0,100000000;8,22546544,67151387,0,0,0,23976231
22;L;45,46;1409159/6250000,2832489/12500000;8,22546544,67151387,0,0,0,23976231;8,22659912,67320000,0,0,0,0
22;L;46,47;2832489/12500000,913141/4000000;8,22659912,67320000,0,0,0,0;8,22828525,67570000,0,0,0,100000000
22;L;47,48;913141/4000000,11498881/50000000;8,22828525,67570000,0,0,0,100000000;8,22997762,67820000,0,0,0,0
22;L;48,49;11498881/50000000,185341/800000;8,22997762,67820000,0,0,0,0;8,23167625,68070000,0,0,0,100000000
22;L;49,50;185341/800000,182329/781250;8,23167625,68070000,0,0,0,100000000;8,23338112,68320000,0,0,0,0
22;L;50,51;182329/781250,940369/4000000;8,23338112,68320000,0,0,0,0;8,23509225,68570000,0,0,0,100000000
22;L;51,52;940369/4000000,11840481/50000000;8,23509225,68570000,0,0,0,100000000;8,23680962,68820000,0,0,0,0
22;L;52,53;11840481/50000000,2380351/10000000;8,23680962,68820000,0,0,0,0;10,2380351000,6899784016,0,0,0,532550911744
23;C;0,2;1754819/5000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
23;C;2,5;35689103/100000000;2,35,0,0,59,59,38;4,3568,0,0,5937,5937,864062
24;C;0,2;1754819/5000000;2,35,0,0,59,59,38;2,35,0,0,59,59,38
24;C;2,5;35689103/100000000;2,35,0,0,59,59,38;4,3568,0,0,5937,5937,864062
25;C;5,7;7108607/20000000;4,3554,5937,5937,0,0,584062;4,3554,5957,5957,0,0,108302
25;L;7,8;7108607/20000000,17782421/50000000;4,3554,5957,5957,0,0,108302;10,3556484200,5963626535,5963626535,0,0,1102087787550
25;L;8,9;17782421/50000000,2223747/6250000;10,3556484200,5963626535,5963626535,0,0,1102087787550;10,3557995200,5964893281,5964893281,0,0,292562110078
26;C;0,26;24433373/100000000;2,24,0,0,0,59,1319;2,24,0,0,0,64,704
26;C;26,39;21863883/100000000;2,21,0,0,0,64,104;4,2186,0,0,0,6582,397276
26;C;39,40;21868237/100000000;4,2186,0,0,0,6582,397276;4,2186,0,0,0,6607,67551
26;L;40,41;684927/3125000,5503549/25000000;4,2191,0,0,0,6607,167551;4,2201,0,0,0,6632,36576
26;L;41,42;5503549/25000000,886313/4000000;4,2201,0,0,0,6632,36576;8,22157825,0,0,0,66570000,100000000
26;L;42,43;886313/4000000,11162281/50000000;8,22157825,0,0,0,66570000,100000000;8,22324562,0,0,0,66820000,0
26;L;43,44;11162281/50000000,899677/4000000;8,22324562,0,0,0,66820000,0;8,22491925,0,0,0,67070000,100000000
26;L;44,45;899677/4000000,1409159/6250000;8,22491925,0,0,0,67070000,100000000;8,22546544,0,0,0,67151387,23976231
26;L;45,46;1409159/6250000,2832489/12500000;8,22546544,0,0,0,67151387,23976231;8,22659912,0,0,0,67320000,0
26;L;46,47;2832489/12500000,913141/4000000;8,22659912,0,0,0,67320000,0;8,22828525,0,0,0,67570000,100000000
26;L;47,48;913141/4000000,11498881/50000000;8,22828525,0,0,0,67570000,100000000;8,22997762,0,0,0,67820000,0
26;L;48,49;11498881/50000000,185341/800000;8,22997762,0,0,0,67820000,0;8,23167625,0,0,0,68070000,100000000
26;L;49,50;185341/800000,182329/781250;8,23167625,0,0,0,68070000,100000000;8,23338112,0,0,0,68320000,0
26;L;50,51;182329/781250,940369/4000000;8,23338112,0,0,0,68320000,0;8,23509225,0,0,0,68570000,100000000
26;L;51,52;940369/4000000,11840481/50000000;8,23509225,0,0,0,68570000,100000000;8,23680962,0,0,0,68820000,0
26;L;52,53;11840481/50000000,2380351/10000000;8,23680962,0,0,0,68820000,0;10,2380351000,0,0,0,6899784016,532550911744
27;C;0,5;1754819/5000000;2,35,0,0,27,59,2790;2,35,0,0,28,60,2616
28;C;0,5;1754819/5000000;2,35,0,0,59,30,2619;2,35,0,0,60,28,2616
29;C;0,38;21863883/100000000;2,21,0,0,59,0,719;4,2186,0,0,6577,0,463071
30;C;5,25;2494919/10000000;2,24,60,0,0,28,416;2,24,63,0,0,0,831
30;C;25,35;21959827/100000000;2,21,63,0,0,0,231;4,2195,6518,0,0,0,1415676
30;C;35,40;21863883/100000000;4,2186,6518,0,0,0,1235676;4,2186,6607,0,0,0,67551
30;L;40,41;684927/3125000,5503549/25000000;4,2191,6607,0,0,0,167551;4,2201,6632,0,0,0,36576
30;L;41,42;5503549/25000000,886313/4000000;4,2201,6632,0,0,0,36576;8,22157825,66570000,0,0,0,100000000
30;L;42,43;886313/4000000,11162281/50000000;8,22157825,66570000,0,0,0,100000000;8,22324562,66820000,0,0,0,0
30;L;43,44;11162281/50000000,899677/4000000;8,22324562,66820000,0,0,0,0;8,22491925,67070000,0,0,0,100000000
30;L;44,45;899677/4000000,1409159/6250000;8,22491925,67070000,0,0,0,100000000;8,22546544,67151387,0,0,0,23976231
31;C;0,53;21863883/100000000;2,21,0,0,0,46,2084;2,21,0,0,0,55,1175
32;C;38,53;21863883/100000000;4,2186,0,0,0,6577,463071;2,21,0,0,0,55,1175
33;C;45,53;1409159/6250000;8,22546544,0,0,0,67151387,23976231;2,22,0,0,0,55,1375
34;C;0,5;1754819/5000000;2,35,0,0,15,59,3294;2,35,0,0,15,60,3175
35;C;0,6;1754819/5000000;2,35,0,0,0,59,3519;2,35,0,0,0,60,3400
36;C;0,18;28288387/100000000;2,28,0,0,0,59,2119;2,28,0,0,0,62,1756
37;C;0,5;1754819/5000000;2,35,0,0,59,16,3263;2,35,0,0,60,15,3175
38;C;0,35;21959827/100000000;2,21,0,0,59,0,719;4,2195,0,0,6518,0,1415676
39;C;6,18;28288387/100000000;2,28,0,0,0,60,2000;2,28,0,0,0,62,1756
40;C;5,35;21959827/100000000;2,21,60,0,0,15,375;4,2195,6518,0,0,0,1415676
41;C;0,35;21959827/100000000;2,21,0,0,0,59,719;4,2195,0,0,0,6518,1415676
42;C;0,5;1754819/5000000;2,35,0,0,0,59,3519;2,35,0,0,0,60,3400
43;C;0,5;1754819/5000000;2,35,0,0,59,0,3519;2,35,0,0,60,0,3400
44;C;0,6;1754819/5000000;2,35,0,0,59,0,3519;2,35,0,0,60,0,3400
45;C;5,18;28288387/100000000;2,28,60,0,0,0,2000;2,28,62,0,0,0,1756
46;C;0,35;21959827/100000000;2,21,0,0,0,35,2975;2,21,0,0,0,39,2679
47;C;6,35;21959827/100000000;2,21,0,0,0,60,600;2,21,0,0,0,39,2679
48;C;18,35;21959827/100000000;2,21,0,0,0,62,356;2,21,0,0,0,39,2679
MASS SLACK NUMERATOR 244881659296370014718208448234046627271504003000388616990710536105471323176058750444921662436079755331
BIN 40: STAR; (41/35,6/5]; gamma0=587/1000; mass ceiling=1534073/1562500.
GAMMA 0=587/1000;1=1179/2000;2=74/125;3=1189/2000;4=597/1000;5=90651960000/151755644567;6=83097630000/138663990677;7=1199/2000;8=301/500;9=1209/2000;10=607/1000;11=85615740000/140489620427;12=1219/2000;13=153/250;14=52880310000/86297375117;15=1229/2000;16=617/1000;17=1239/2000;18=311/500;19=1249/2000;20=40289760000/64477951967;21=627/1000;22=1259/2000;23=79/125;24=48347712000/76212344567;25=1269/2000;26=637/1000;27=1279/2000;28=321/500;29=1289/2000;30=647/1000;31=1299/2000;32=163/250;33=1309/2000;34=35883067500/54754027021;35=657/1000;36=1319/2000;37=60434640000/91321004567;38=331/500;39=1329/2000;40=667/1000;41=1339/2000;42=84/125;43=1349/2000;44=677/1000;45=1359/2000;46=341/500;47=1369/2000;48=687/1000;49=1379/2000;50=173/250;51=52880310000/76212344567;52=1389/2000;53=697/1000;54=1399/2000;55=351/500;56=1409/2000;57=707/1000;58=1419/2000;59=89/125;60=1429/2000;61=717/1000;62=1439/2000;63=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,35210532,35506119;1,2,35506119,35802957;2,3,35802957,36101048;3,4,36101048,36400389;4,5,36400389,36442971;5,6,36442971,35953569;6,7,35953569,35955067;7,8,35955067,36240400;8,9,36240400,36542025;9,10,36542025,36844900;10,11,36844900,37138021;11,12,37138021,37149025;12,13,37149025,37454400;13,14,37454400,37548520;14,15,37548520,34630128;15,16,34630128,30885461;16,17,30885461,27694874;17,18,27694874,26484338;18,19,26484338,25823660;19,20,25823660,25732396;20,21,25732396,25213168;21,22,25213168,24652861;22,23,24652861,24142740;23,24,24142740,23703448;24,25,23703448,23682804;25,26,23682804,23273053;26,27,23273053,22913488;27,28,22913488,22604108;28,29,22604108,22344913;29,30,22344913,22135904;30,31,22135904,21977080;31,32,21977080,21868441;32,33,21868441,21809988;33,34,21809988,21801544;34,35,21801544,21801720;35,36,21801720,21843638;36,37,21843638,21925733;37,38,21925733,21935741;38,39,21935741,22078013;39,40,22078013,22244450;40,41,22244450,22411513;41,42,22411513,22579200;42,43,22579200,22747513;43,44,22747513,22916450;44,45,22916450,23086013;45,46,23086013,23256200;46,47,23256200,23427013;47,48,23427013,23598450;48,49,23598450,23770513;49,50,23770513,23943200;50,51,23943200,24071733;51,52,0,0;52,53,0,0;53,54,0,0;54,55,0,0;55,56,0,0;56,57,0,0;57,58,0,0;58,59,0,0;59,60,0,0;60,61,0,0;61,62,0,0;62,63,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,6;46421601031/9442912500,9/5,151755644567/75543300000;-43754583360829
7;2,3,5;3/5,13/5,8/15;-1
8;1,4,8;138663990677/37771650000,1/5,151755644567/75543300000;-73971903360829
15;2,3,7;7/5,43/15,8/15;-1
16;1,4,10;138663990677/37771650000,1/5,151755644567/75543300000;-73971903360829
23;2,3,9;7/5,43/15,8/15;-1
24;1,4,12;138663990677/37771650000,1/5,151755644567/75543300000;-73971903360829
31;2,3,11;7/5,43/15,8/15;-1
32;1,4,6;121538324567/18885825000,4/5,151755644567/75543300000;-68935683360829
33;1,4,6;51031244567/12590550000,4,151755644567/75543300000;-13537263360829
34;1,4,6;51031244567/12590550000,4,151755644567/75543300000;-13537263360829
36;1,4,6;51031244567/12590550000,4,151755644567/75543300000;-13537263360829
39;2,3,5;8/5,13/5,7/10;-1
40;0,1,8;4/5,2,1;-1
44;1,4,8;51031244567/12590550000,4,151755644567/75543300000;-13537263360829
48;0,1,10;4/5,2,1;-1
52;1,4,10;51031244567/12590550000,4,151755644567/75543300000;-13537263360829
56;0,1,12;4/5,2,1;-1
60;1,4,12;51031244567/12590550000,4,151755644567/75543300000;-13537263360829
64;0,1,6;1/5,4,1;-3
65;1,4,6;67260463517/12590550000,3,151755644567/75543300000;-32423088360829
66;1,4,6;67260463517/12590550000,3,151755644567/75543300000;-32423088360829
68;1,4,6;67260463517/12590550000,3,151755644567/75543300000;-32423088360829
71;2,3,5;13/5,31/10,19/20;-1
72;0,1,8;9/5,2,1;-1
73;1,4,8;11576127229/2360728125,7/5,151755644567/75543300000;-36200253360829
74;1,4,8;11576127229/2360728125,7/5,151755644567/75543300000;-36200253360829
76;1,4,8;67260463517/12590550000,3,151755644567/75543300000;-32423088360829
80;0,1,10;9/5,2,1;-1
81;1,4,10;11576127229/2360728125,7/5,151755644567/75543300000;-36200253360829
82;1,4,10;11576127229/2360728125,7/5,151755644567/75543300000;-36200253360829
84;1,4,10;67260463517/12590550000,3,151755644567/75543300000;-32423088360829
88;0,1,12;9/5,2,1;-1
89;1,4,12;11576127229/2360728125,7/5,151755644567/75543300000;-36200253360829
90;1,4,12;11576127229/2360728125,7/5,151755644567/75543300000;-36200253360829
92;1,4,12;67260463517/12590550000,3,151755644567/75543300000;-32423088360829
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
1;1,4,6,3;7856983195855,269365330984257736200000,8509337363005,5
2;1,4,6,3;7856983195855,269365330984257736200000,8509337363005,5
3;5,4,2,3;1010795821055,17425346045668862175000,36618032930565,25
4;1,4,6,3;7856983195855,269365330984257736200000,8509337363005,5
5;5,4,2,3;1010795821055,17425346045668862175000,36618032930565,25
6;5,4,2,3;1010795821055,17425346045668862175000,36618032930565,25
9;1,4,8,3;7856983195855,67547808526747422825000,1010795821055,25
10;1,4,8,3;7856983195855,67547808526747422825000,1010795821055,25
11;7,4,2,3;1010795821055,17425346045668862175000,36618032930565,25
12;1,4,8,3;7856983195855,269365330984257736200000,8509337363005,5
13;7,4,2,3;8509337363005,955004942053286623800000,36618032930565,85
14;7,4,2,3;8509337363005,955004942053286623800000,36618032930565,85
17;1,4,10,3;7856983195855,67547808526747422825000,1010795821055,25
18;1,4,10,3;7856983195855,67547808526747422825000,1010795821055,25
19;9,4,2,3;1010795821055,17425346045668862175000,36618032930565,25
20;1,4,10,3;7856983195855,269365330984257736200000,8509337363005,5
21;9,4,2,3;8509337363005,955004942053286623800000,36618032930565,85
22;9,4,2,3;8509337363005,955004942053286623800000,36618032930565,85
25;1,4,12,3;7856983195855,67547808526747422825000,1010795821055,25
26;1,4,12,3;7856983195855,67547808526747422825000,1010795821055,25
27;11,4,2,3;1010795821055,17425346045668862175000,36618032930565,25
28;1,4,12,3;7856983195855,269365330984257736200000,8509337363005,5
29;11,4,2,3;8509337363005,955004942053286623800000,36618032930565,85
30;11,4,2,3;8509337363005,955004942053286623800000,36618032930565,85
35;5,4,2,6,3;7856983195855,1119097927248841697850000,90276643479275,5,5
37;5,4,2,6,3;7856983195855,1119097927248841697850000,90276643479275,5,5
38;5,4,2,6,3;7856983195855,1119097927248841697850000,90276643479275,5,5
41;1,4,8;7856983195855,59354243865943302150000,7856983195855
42;1,4,8;7856983195855,59354243865943302150000,7856983195855
43;7,4,2,3;7856983195855,1119097927248841697850000,81436637391710,25
45;1,4,2,8,3;7856983195855,2853395087445000000000000,90276643479275,5,5
46;1,4,2,8,3;7856983195855,2853395087445000000000000,90276643479275,5,5
47;7,2,3;5,15,5
49;1,4,10;7856983195855,59354243865943302150000,7856983195855
50;1,4,10;7856983195855,59354243865943302150000,7856983195855
51;9,4,2,3;7856983195855,1119097927248841697850000,81436637391710,25
53;1,4,2,10,3;7856983195855,2853395087445000000000000,90276643479275,5,5
54;1,4,2,10,3;7856983195855,2853395087445000000000000,90276643479275,5,5
55;9,2,3;5,15,5
57;1,4,12;7856983195855,59354243865943302150000,7856983195855
58;1,4,12;7856983195855,59354243865943302150000,7856983195855
59;11,4,2,3;7856983195855,1119097927248841697850000,81436637391710,25
61;1,4,2,12,3;7856983195855,2853395087445000000000000,90276643479275,5,5
62;1,4,2,12,3;7856983195855,2853395087445000000000000,90276643479275,5,5
63;11,2,3;5,15,5
67;1,4,6,3;7856983195855,433725118409358255375000,47224992140265,5
69;1,4,6,3;7856983195855,433725118409358255375000,47224992140265,5
70;1,4,6,3;7856983195855,433725118409358255375000,47224992140265,5
75;1,4,2,3;7856983195855,713348771861250000000000,74849072773460,25
77;1,4,8,3;7856983195855,433725118409358255375000,47224992140265,5
78;1,4,8,3;7856983195855,433725118409358255375000,47224992140265,5
79;7,4,2,3;47224992140265,38945202070729948875000,74849072773460,55
83;1,4,2,3;7856983195855,713348771861250000000000,74849072773460,25
85;1,4,10,3;7856983195855,433725118409358255375000,47224992140265,5
86;1,4,10,3;7856983195855,433725118409358255375000,47224992140265,5
87;9,4,2,3;47224992140265,38945202070729948875000,74849072773460,55
91;1,4,2,3;7856983195855,713348771861250000000000,74849072773460,25
93;1,4,12,3;7856983195855,433725118409358255375000,47224992140265,5
94;1,4,12,3;7856983195855,433725118409358255375000,47224992140265,5
95;11,4,2,3;47224992140265,38945202070729948875000,74849072773460,55
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
FUNCTIONS (function id; representative description; V or E; row pair):
0;1;V;3,1
1;1;V;6,3
2;1;E;4,1
3;1;E;4,6
4;1;E;4,3
5;3;V;3,5
6;3;V;2,3
7;3;E;4,5
8;3;E;4,2
9;3;E;4,3
10;12;V;3,1
11;12;E;4,1
12;12;E;4,3
13;13;V;2,3
14;13;E;4,2
15;13;E;4,3
16;35;V;3,5
17;35;V;2,6
18;35;V;6,3
19;35;E;4,5
20;35;E;4,2
21;35;E;4,6
22;35;E;4,3
23;41;E;4,1
24;43;V;2,3
25;45;V;3,1
26;45;E;4,1
27;45;E;4,2
28;45;E;4,3
29;47;V;2,3
30;47;E;4,2
31;47;E;4,3
32;67;V;3,1
33;67;V;6,3
34;67;E;4,1
35;67;E;4,6
36;67;E;4,3
37;75;V;2,3
38;75;E;4,2
39;77;V;3,1
40;77;E;4,1
41;77;E;4,3
42;79;V;2,3
43;79;E;4,2
44;79;E;4,3
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
1:V/3,1/0/0/5;V/6,3/1/0/6;E/4,1/2/0/5;E/4,6/3/0/6;E/4,3/4/5/6
2:V/3,1/0/0/5;V/6,3/1/0/6;E/4,1/2/0/5;E/4,6/3/0/6;E/4,3/4/5/6
3:V/3,5/5/0/14;V/2,3/6/0/20;E/4,5/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
4:V/3,1/0/0/5;V/6,3/1/0/6;E/4,1/2/0/5;E/4,6/3/0/6;E/4,3/4/5/6
5:V/3,5/5/0/14;V/2,3/6/0/20;E/4,5/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
6:V/3,5/5/0/14;V/2,3/6/0/20;E/4,5/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
9:V/3,1/0/0/5;V/8,3/5/0/14;E/4,1/2/0/5;E/4,8/7/0/14;E/4,3/4/5/14
10:V/3,1/0/0/5;V/8,3/5/0/14;E/4,1/2/0/5;E/4,8/7/0/14;E/4,3/4/5/14
11:V/3,7/5/0/14;V/2,3/6/0/20;E/4,7/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
12:V/3,1/10/0/5;V/8,3/1/0/6;E/4,1/11/0/5;E/4,8/3/0/6;E/4,3/12/5/6
13:V/3,7/1/0/6;V/2,3/13/0/20;E/4,7/3/0/6;E/4,2/14/0/20;E/4,3/15/6/20
14:V/3,7/1/0/6;V/2,3/13/0/20;E/4,7/3/0/6;E/4,2/14/0/20;E/4,3/15/6/20
17:V/3,1/0/0/5;V/10,3/5/0/14;E/4,1/2/0/5;E/4,10/7/0/14;E/4,3/4/5/14
18:V/3,1/0/0/5;V/10,3/5/0/14;E/4,1/2/0/5;E/4,10/7/0/14;E/4,3/4/5/14
19:V/3,9/5/0/14;V/2,3/6/0/20;E/4,9/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
20:V/3,1/10/0/5;V/10,3/1/0/6;E/4,1/11/0/5;E/4,10/3/0/6;E/4,3/12/5/6
21:V/3,9/1/0/6;V/2,3/13/0/20;E/4,9/3/0/6;E/4,2/14/0/20;E/4,3/15/6/20
22:V/3,9/1/0/6;V/2,3/13/0/20;E/4,9/3/0/6;E/4,2/14/0/20;E/4,3/15/6/20
25:V/3,1/0/0/5;V/12,3/5/0/14;E/4,1/2/0/5;E/4,12/7/0/14;E/4,3/4/5/14
26:V/3,1/0/0/5;V/12,3/5/0/14;E/4,1/2/0/5;E/4,12/7/0/14;E/4,3/4/5/14
27:V/3,11/5/0/14;V/2,3/6/0/20;E/4,11/7/0/14;E/4,2/8/0/20;E/4,3/9/14/20
28:V/3,1/10/0/5;V/12,3/1/0/6;E/4,1/11/0/5;E/4,12/3/0/6;E/4,3/12/5/6
29:V/3,11/1/0/6;V/2,3/13/0/20;E/4,11/3/0/6;E/4,2/14/0/20;E/4,3/15/6/20
30:V/3,11/1/0/6;V/2,3/13/0/20;E/4,11/3/0/6;E/4,2/14/0/20;E/4,3/15/6/20
35:V/3,5/16/0/5;V/2,6/17/0/24;V/6,3/18/0/37;E/4,5/19/0/5;E/4,2/20/0/24;E/4,6/21/24/37;E/4,3/22/5/37
37:V/3,5/16/0/5;V/2,6/17/0/24;V/6,3/18/0/37;E/4,5/19/0/5;E/4,2/20/0/24;E/4,6/21/24/37;E/4,3/22/5/37
38:V/3,5/16/0/5;V/2,6/17/0/24;V/6,3/18/0/37;E/4,5/19/0/5;E/4,2/20/0/24;E/4,6/21/24/37;E/4,3/22/5/37
41:V/8,1/16/0/5;E/4,1/23/0/5;E/4,8/19/0/5
42:V/8,1/16/0/5;E/4,1/23/0/5;E/4,8/19/0/5
43:V/3,7/16/0/5;V/2,3/24/0/51;E/4,7/19/0/5;E/4,2/20/0/51;E/4,3/22/5/51
45:V/3,1/25/0/5;V/2,8/17/0/24;V/8,3/18/0/37;E/4,1/26/0/5;E/4,2/27/0/24;E/4,8/21/24/37;E/4,3/28/5/37
46:V/3,1/25/0/5;V/2,8/17/0/24;V/8,3/18/0/37;E/4,1/26/0/5;E/4,2/27/0/24;E/4,8/21/24/37;E/4,3/28/5/37
47:V/3,7/18/0/37;V/7,2/17/0/24;V/2,3/29/0/51;E/4,7/21/24/37;E/4,2/30/24/51;E/4,3/31/37/51
49:V/10,1/16/0/5;E/4,1/23/0/5;E/4,10/19/0/5
50:V/10,1/16/0/5;E/4,1/23/0/5;E/4,10/19/0/5
51:V/3,9/16/0/5;V/2,3/24/0/51;E/4,9/19/0/5;E/4,2/20/0/51;E/4,3/22/5/51
53:V/3,1/25/0/5;V/2,10/17/0/24;V/10,3/18/0/37;E/4,1/26/0/5;E/4,2/27/0/24;E/4,10/21/24/37;E/4,3/28/5/37
54:V/3,1/25/0/5;V/2,10/17/0/24;V/10,3/18/0/37;E/4,1/26/0/5;E/4,2/27/0/24;E/4,10/21/24/37;E/4,3/28/5/37
55:V/3,9/18/0/37;V/9,2/17/0/24;V/2,3/29/0/51;E/4,9/21/24/37;E/4,2/30/24/51;E/4,3/31/37/51
57:V/12,1/16/0/5;E/4,1/23/0/5;E/4,12/19/0/5
58:V/12,1/16/0/5;E/4,1/23/0/5;E/4,12/19/0/5
59:V/3,11/16/0/5;V/2,3/24/0/51;E/4,11/19/0/5;E/4,2/20/0/51;E/4,3/22/5/51
61:V/3,1/25/0/5;V/2,12/17/0/24;V/12,3/18/0/37;E/4,1/26/0/5;E/4,2/27/0/24;E/4,12/21/24/37;E/4,3/28/5/37
62:V/3,1/25/0/5;V/2,12/17/0/24;V/12,3/18/0/37;E/4,1/26/0/5;E/4,2/27/0/24;E/4,12/21/24/37;E/4,3/28/5/37
63:V/3,11/18/0/37;V/11,2/17/0/24;V/2,3/29/0/51;E/4,11/21/24/37;E/4,2/30/24/51;E/4,3/31/37/51
67:V/3,1/32/0/5;V/6,3/33/0/11;E/4,1/34/0/5;E/4,6/35/0/11;E/4,3/36/5/11
69:V/3,1/32/0/5;V/6,3/33/0/11;E/4,1/34/0/5;E/4,6/35/0/11;E/4,3/36/5/11
70:V/3,1/32/0/5;V/6,3/33/0/11;E/4,1/34/0/5;E/4,6/35/0/11;E/4,3/36/5/11
75:V/3,1/32/0/5;V/2,3/37/0/34;E/4,1/34/0/5;E/4,2/38/0/34;E/4,3/36/5/34
77:V/3,1/39/0/5;V/8,3/33/0/11;E/4,1/40/0/5;E/4,8/35/0/11;E/4,3/41/5/11
78:V/3,1/39/0/5;V/8,3/33/0/11;E/4,1/40/0/5;E/4,8/35/0/11;E/4,3/41/5/11
79:V/3,7/33/0/11;V/2,3/42/0/34;E/4,7/35/0/11;E/4,2/43/0/34;E/4,3/44/11/34
83:V/3,1/32/0/5;V/2,3/37/0/34;E/4,1/34/0/5;E/4,2/38/0/34;E/4,3/36/5/34
85:V/3,1/39/0/5;V/10,3/33/0/11;E/4,1/40/0/5;E/4,10/35/0/11;E/4,3/41/5/11
86:V/3,1/39/0/5;V/10,3/33/0/11;E/4,1/40/0/5;E/4,10/35/0/11;E/4,3/41/5/11
87:V/3,9/33/0/11;V/2,3/42/0/34;E/4,9/35/0/11;E/4,2/43/0/34;E/4,3/44/11/34
91:V/3,1/32/0/5;V/2,3/37/0/34;E/4,1/34/0/5;E/4,2/38/0/34;E/4,3/36/5/34
93:V/3,1/39/0/5;V/12,3/33/0/11;E/4,1/40/0/5;E/4,12/35/0/11;E/4,3/41/5/11
94:V/3,1/39/0/5;V/12,3/33/0/11;E/4,1/40/0/5;E/4,12/35/0/11;E/4,3/41/5/11
95:V/3,11/33/0/11;V/2,3/42/0/34;E/4,11/35/0/11;E/4,2/43/0/34;E/4,3/44/11/34
UPPER COVERS (function; C or L; left-index,right-index; constant for C or endpoint chord values for L; left rounding witness; right rounding witness). Witness: e,v,one u per sorted weighted term,S:
0;L;0,1;8802633/25000000,35506119/100000000;4,3521,0,1212,5870,5870,37256;4,3550,0,1217,5895,5895,16861
0;L;1,2;35506119/100000000,35802957/100000000;4,3550,0,1217,5895,5895,16861;4,3580,0,1222,5920,5920,13916
0;L;2,3;35802957/100000000,4512631/12500000;4,3580,0,1222,5920,5920,13916;4,3610,0,1227,5945,5945,8421
0;L;3,4;4512631/12500000,36400389/100000000;4,3610,0,1227,5945,5945,8421;4,3640,0,1232,5970,5970,376
0;L;4,5;36400389/100000000,36442971/100000000;4,3640,0,1232,5970,5970,376;10,3644297100,0,1232636853,5973547822,5973547822,1225184369023
1;C;0,1;8802633/25000000;2,35,0,3,59,59,29;2,35,0,3,59,59,29
1;C;1,3;35506119/100000000;2,35,0,3,59,59,29;4,3550,0,284,5945,5945,233294
1;C;3,6;35953569/100000000;4,3595,0,284,5945,5945,1133294;8,35953569,0,2853683,59927332,59927332,52059063
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24;L;36,37;10921819/50000000,21925733/100000000;4,2184,0,0,0,6595,185975;4,2192,0,0,0,6618,42076
24;C;37,38;21925733/100000000;4,2192,0,0,0,6618,42076;4,2192,0,0,0,6620,15600
24;L;38,39;21935741/100000000,22078013/100000000;4,2193,0,0,0,6620,35600;8,22078013,0,0,0,66450000,100000000
24;L;39,40;22078013/100000000,444889/2000000;8,22078013,0,0,0,66450000,100000000;8,22244450,0,0,0,66700000,0
24;L;40,41;444889/2000000,22411513/100000000;8,22244450,0,0,0,66700000,0;8,22411513,0,0,0,66950000,100000000
24;L;41,42;22411513/100000000,3528/15625;8,22411513,0,0,0,66950000,100000000;6,225792,0,0,0,672000,0
24;L;42,43;3528/15625,22747513/100000000;6,225792,0,0,0,672000,0;8,22747513,0,0,0,67450000,100000000
24;L;43,44;22747513/100000000,458329/2000000;8,22747513,0,0,0,67450000,100000000;8,22916450,0,0,0,67700000,0
24;L;44,45;458329/2000000,23086013/100000000;8,22916450,0,0,0,67700000,0;8,23086013,0,0,0,67950000,100000000
24;L;45,46;23086013/100000000,116281/500000;8,23086013,0,0,0,67950000,100000000;6,232562,0,0,0,682000,0
24;L;46,47;116281/500000,23427013/100000000;6,232562,0,0,0,682000,0;8,23427013,0,0,0,68450000,100000000
24;L;47,48;23427013/100000000,471969/2000000;8,23427013,0,0,0,68450000,100000000;8,23598450,0,0,0,68700000,0
24;L;48,49;471969/2000000,23770513/100000000;8,23598450,0,0,0,68700000,0;8,23770513,0,0,0,68950000,100000000
24;L;49,50;23770513/100000000,29929/125000;8,23770513,0,0,0,68950000,100000000;6,239432,0,0,0,692000,0
24;L;50,51;29929/125000,24071733/100000000;6,239432,0,0,0,692000,0;8,24071733,0,0,0,69385492,99917936
25;C;0,5;8802633/25000000;2,35,0,3,21,59,3069;2,35,0,3,22,60,2907
26;C;0,5;8802633/25000000;2,35,0,0,59,25,2894;2,35,3,0,60,22,2907
27;C;0,24;2962931/12500000;2,23,0,0,59,0,1119;2,23,0,0,64,0,504
28;C;5,21;1575823/6250000;2,25,3,60,0,22,907;2,25,3,63,0,0,1022
28;C;21,29;22344913/100000000;2,22,3,63,0,0,422;2,22,3,65,0,0,166
28;C;29,33;5452497/25000000;4,2180,231,6445,0,0,2008614;4,2180,234,6545,0,0,708219
28;C;33,35;2725193/12500000;4,2180,234,6545,0,0,708219;4,2180,235,6570,0,0,379875
28;C;35,36;545043/2500000;4,2180,235,6570,0,0,379875;4,2180,236,6595,0,0,50279
28;L;36,37;10921819/50000000,21925733/100000000;4,2184,236,6595,0,0,130279;10,2192573300,236350883,6617824704,0,0,447232432695
29;C;0,51;2725193/12500000;2,21,0,0,3,35,2966;2,21,0,0,3,41,2510
30;C;24,51;2725193/12500000;2,21,0,0,0,64,104;2,21,3,0,0,41,2510
31;C;37,51;21925733/100000000;10,2192573300,236350883,0,0,6617824704,447232432695;2,21,3,0,0,41,2510
32;C;0,5;8802633/25000000;2,35,0,0,12,59,3375;2,35,0,0,12,60,3256
33;C;0,11;8802633/25000000;2,35,0,0,2,59,3515;2,35,0,0,2,61,3275
34;C;0,5;8802633/25000000;2,35,0,0,59,13,3350;2,35,0,0,60,12,3256
35;C;0,11;8802633/25000000;2,35,0,0,0,59,3519;2,35,2,0,0,61,3275
36;C;5,34;2725193/12500000;2,21,60,0,0,12,456;4,2180,6554,0,0,0,645084
37;C;0,34;2725193/12500000;2,21,0,0,0,59,719;4,2180,0,0,0,6554,645084
38;C;0,34;2725193/12500000;2,21,0,0,59,0,719;4,2180,0,0,6554,0,645084
39;C;0,5;8802633/25000000;2,35,0,0,2,59,3515;2,35,0,0,2,60,3396
40;C;0,5;8802633/25000000;2,35,0,0,59,0,3519;2,35,2,0,60,0,3396
41;C;5,11;35953569/100000000;2,35,2,60,0,0,3396;2,35,2,61,0,0,3275
42;C;0,34;2725193/12500000;2,21,0,0,2,26,3520;2,21,0,0,2,29,3355
43;C;0,34;2725193/12500000;2,21,0,0,0,56,1064;2,21,2,0,0,29,3355
44;C;11,34;2725193/12500000;2,21,2,0,0,61,475;2,21,2,0,0,29,3355
MASS SLACK NUMERATOR 31620143264618709416978459790086711580495046092781923880776866043228831444653794334956113
