BIN 1: PPC; (1,25/24]; gamma0=2821/5000; mass ceiling=22808273/25000000.
GAMMA 0=2821/5000;1=1423/2500;2=2871/5000;3=362/625;4=11241562500/19365092081;5=488333475000/840222054137;6=35073675000/60316535849;7=2921/5000;8=8393700000/14313210637;9=4046962500/6896850281;10=1473/2500;11=2971/5000;12=749/1250;13=3021/5000;14=1523/2500;15=3071/5000;16=53285006250/86643193039;17=387/625;18=3121/5000;19=7794150000/12470267081;20=1573/2500;21=28516096875/44998088207;22=3171/5000;23=799/1250;24=4271793750/6664861003;25=3221/5000;26=1623/2500;27=3271/5000;28=412/625;29=3321/5000;30=1673/2500;31=3371/5000;32=849/1250;33=5845612500/8573192081;34=3421/5000;35=1723/2500;36=3471/5000;37=437/625;38=3521/5000;39=1773/2500;40=3571/5000;41=899/1250;42=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,43268075,44003175;1,2,44003175,44750496;2,3,44750496,45510040;3,4,45510040,45710528;4,5,45710528,42644438;5,6,42644438,41505426;6,7,41505426,30761778;7,8,30761778,28782839;8,9,28782839,28724402;9,10,28724402,28333063;10,11,28333063,27565175;11,12,27565175,26853997;12,13,26853997,26199529;13,14,26199529,25601771;14,15,25601771,25060724;15,16,25060724,24980067;16,17,24980067,24576387;17,18,24576387,24148760;18,19,24148760,24084144;19,20,24084144,23147096;20,21,23147096,22890392;21,22,22890392,22865944;22,23,22865944,22645785;23,24,22645785,22583385;24,25,22583385,22486618;25,26,22486618,22388443;26,27,22388443,22351260;27,28,22351260,22375070;28,29,22375070,22459872;29,30,22459872,22605666;30,31,22605666,22812452;31,32,22812452,23080231;32,33,23080231,23246740;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0;38,39,0,0;39,40,0,0;40,41,0,0;41,42,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;204990290303/70147350000,5/13,19365092081/10791900000;-62911217412359
1;0,3,7;23/312,1,1;-1
3;0,3,7;131/104,3,1;-2
4;2,3,7;19/52,49/26,3/8;-59
5;2,3,8;137/312,56/39,3/8;-107
8;1,3,6;125/156,75/26,25/24;-125
9;1,4,10;10013910731/3597300000,3/2,19365092081/10791900000;-2022757108643
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;7/6,1/3,3/8;-1
17;2,3,8;137/312,56/39,3/8;-107
19;0,3,13;203/156,2,1;-1
21;0,3,13;179/312,1,1;-1
22;0,3,13;7/52,6,1;-4
25;2,3,8;137/312,56/39,3/8;-107
26;1,3,12;203/156,44/13,25/24;-203
27;0,1,7;8/13,2,1;-1
28;0,3,7;23/312,1,1;-1
30;0,3,7;131/104,3,1;-2
31;2,3,7;71/52,49/26,13/24;-125
32;2,3,8;449/312,33/26,13/24;-29
33;1,4,12;15767792081/3597300000,1/2,19365092081/10791900000;-3949882108643
35;1,3,6;125/156,75/26,25/24;-125
36;1,4,10;15767792081/3597300000,1/2,19365092081/10791900000;-5877007108643
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;15767792081/3597300000,1/2,19365092081/10791900000;-3949882108643
44;2,3,8;449/312,33/26,13/24;-29
45;1,4,13;215773197053/46764900000,5/13,19365092081/10791900000;-62911217412359
46;0,3,13;203/156,2,1;-1
48;0,3,13;179/312,1,1;-1
49;1,12,13;3,70/13,267/26;-1
52;2,3,8;449/312,33/26,13/24;-29
53;1,3,12;203/156,44/13,25/24;-203
54;0,1,7;21/13,2,1;-1
55;0,3,7;23/312,1,1;-1
57;0,1,12;1/2,3,1;-1
58;2,3,7;123/52,31/13,19/24;-125
60;0,1,12;1/2,3,1;-1
62;1,3,6;125/156,75/26,25/24;-125
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;6664861003/1348987500,1,19365092081/10791900000;-95632108643
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;203/156,2,1;-1
74;1,4,6;6664861003/1348987500,1,19365092081/10791900000;-95632108643
75;0,3,13;179/312,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;203/156,44/13,25/24;-203
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;40800548731156,351818093423492570700000,890054694056,824
6;1,4,12,3;5413329392568,13520876140578536100000,229249554724,88
7;11,4,2,3;229249554724,23863339449884043900000,890054694056,56
11;8,4,6,3;40800548731156,1417698480770448778125,88934131287,1802
14;5,4,2,3;88934131287,3078193919364309375,890054694056,2
15;1,4,12,3;5413329392568,13520876140578536100000,229249554724,88
16;11,4,2,3;229249554724,23863339449884043900000,890054694056,56
18;1,4,13,3;5413329392568,134176709252520969300000,40800548731156,856
20;1,4,6,3;5413329392568,224655801829803815625,88934131287,282
23;5,4,2,3;88934131287,3078193919364309375,890054694056,2
24;1,4,2,3;5413329392568,55459574100000000000000,890054694056,128
29;1,4,2,3;5413329392568,41594680575000000000000,1330045091736,288
34;1,4,2,3;5413329392568,41594680575000000000000,1330045091736,288
38;1,4,6,3;5413329392568,20539327249183902075000,375045484401,138
41;5,4,2,3;375045484401,2697975000,1330045091736,6
43;1,4,2,3;5413329392568,41594680575000000000000,1330045091736,288
47;1,4,6,3;5413329392568,20539327249183902075000,375045484401,138
50;5,4,2,3;375045484401,2697975000,1330045091736,6
51;1,4,2,3;5413329392568,41594680575000000000000,1330045091736,288
56;1,4,2,7,3;5413329392568,10398670143750000000000,25148095642264,1040,5136
59;8,2,3;1040,80,480
61;1,4,2,3;5413329392568,10398670143750000000000,8768214378984,144
68;1,4,2,3;5413329392568,10398670143750000000000,8768214378984,144
70;1,4,2,3;5413329392568,10398670143750000000000,8768214378984,144
71;8,2,3;1040,80,480
77;1,4,2,3;5413329392568,10398670143750000000000,8768214378984,144
78;1,4,2,9,3;5413329392568,10398670143750000000000,25148095642264,1040,5136
79;8,2,3;1040,80,480
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;2,3
44;29;E;4,1
45;29;E;4,2
46;29;E;4,3
47;34;V;3,1
48;34;V;2,3
49;34;E;4,1
50;34;E;4,2
51;34;E;4,3
52;38;V;6,3
53;38;E;4,6
54;41;V;2,3
55;41;E;4,2
56;41;E;4,3
57;43;V;3,1
58;43;V;2,3
59;43;E;4,1
60;43;E;4,2
61;43;E;4,3
62;47;V;3,1
63;47;V;6,3
64;47;E;4,1
65;47;E;4,6
66;47;E;4,3
67;50;E;4,3
68;51;V;3,1
69;51;V;2,3
70;51;E;4,1
71;51;E;4,2
72;51;E;4,3
73;56;V;3,1
74;56;V;2,7
75;56;V;7,3
76;56;E;4,1
77;56;E;4,2
78;56;E;4,7
79;56;E;4,3
80;59;V;2,3
81;59;E;4,2
82;59;E;4,3
83;61;V;3,1
84;61;V;2,3
85;61;E;4,1
86;61;E;4,2
87;61;E;4,3
88;68;V;3,1
89;68;V;2,3
90;68;E;4,1
91;68;E;4,2
92;68;E;4,3
93;70;V;3,1
94;70;V;2,3
95;70;E;4,1
96;70;E;4,2
97;70;E;4,3
98;77;V;3,1
99;77;E;4,1
100;77;E;4,3
101;78;V;3,1
102;78;E;4,1
103;78;E;4,2
104;78;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:
2:V/3,5/0/0/5;V/2,3/1/0/9;E/4,5/2/0/5;E/4,2/3/0/9;E/4,3/4/5/9
6:V/3,1/5/0/4;V/12,3/6/0/6;E/4,1/7/0/4;E/4,12/8/0/6;E/4,3/9/4/6
7:V/3,11/6/0/6;V/2,3/10/0/9;E/4,11/8/0/6;E/4,2/11/0/9;E/4,3/12/6/9
11:V/3,8/0/0/5;V/6,3/13/0/8;E/4,8/2/0/5;E/4,6/14/0/8;E/4,3/4/5/8
14:V/3,5/13/0/8;V/2,3/15/0/9;E/4,5/14/0/8;E/4,2/16/0/9;E/4,3/17/8/9
15:V/3,1/18/0/4;V/12,3/19/0/6;E/4,1/20/0/4;E/4,12/21/0/6;E/4,3/22/4/6
16:V/3,11/19/0/6;V/2,3/23/0/9;E/4,11/21/0/6;E/4,2/24/0/9;E/4,3/25/6/9
18:V/3,1/26/0/4;V/13,3/0/0/5;E/4,1/27/0/4;E/4,13/2/0/5;E/4,3/28/4/5
20:V/3,1/29/0/4;V/6,3/30/0/8;E/4,1/31/0/4;E/4,6/32/0/8;E/4,3/33/4/8
23:V/3,5/30/0/8;V/2,3/34/0/9;E/4,5/32/0/8;E/4,2/35/0/9;E/4,3/36/8/9
24:V/3,1/37/0/4;V/2,3/38/0/9;E/4,1/39/0/4;E/4,2/40/0/9;E/4,3/41/4/9
29:V/3,1/42/0/4;V/2,3/43/0/33;E/4,1/44/0/4;E/4,2/45/0/33;E/4,3/46/4/33
34:V/3,1/47/0/4;V/2,3/48/0/33;E/4,1/49/0/4;E/4,2/50/0/33;E/4,3/51/4/33
38:V/3,1/42/0/4;V/6,3/52/0/19;E/4,1/44/0/4;E/4,6/53/0/19;E/4,3/46/4/19
40:V/2,3/48/0/33;E/4,2/50/0/33
41:V/3,5/52/0/19;V/2,3/54/0/33;E/4,5/53/0/19;E/4,2/55/0/33;E/4,3/56/19/33
43:V/3,1/57/0/4;V/2,3/58/0/33;E/4,1/59/0/4;E/4,2/60/0/33;E/4,3/61/4/33
47:V/3,1/62/0/4;V/6,3/63/0/19;E/4,1/64/0/4;E/4,6/65/0/19;E/4,3/66/4/19
50:V/3,5/63/0/19;V/2,3/48/0/33;E/4,5/65/0/19;E/4,2/50/0/33;E/4,3/67/19/33
51:V/3,1/68/0/4;V/2,3/69/0/33;E/4,1/70/0/4;E/4,2/71/0/33;E/4,3/72/4/33
56:V/3,1/73/0/4;V/2,7/74/0/16;V/7,3/75/0/21;E/4,1/76/0/4;E/4,2/77/0/16;E/4,7/78/16/21;E/4,3/79/4/21
59:V/3,8/75/0/21;V/8,2/74/0/16;V/2,3/80/0/24;E/4,8/78/16/21;E/4,2/81/16/24;E/4,3/82/21/24
61:V/3,1/83/0/4;V/2,3/84/0/24;E/4,1/85/0/4;E/4,2/86/0/24;E/4,3/87/4/24
67:V/2,3/84/0/24;E/4,2/86/0/24
68:V/3,1/88/0/4;V/2,3/89/0/24;E/4,1/90/0/4;E/4,2/91/0/24;E/4,3/92/4/24
70:V/3,1/93/0/4;V/2,3/94/0/24;E/4,1/95/0/4;E/4,2/96/0/24;E/4,3/97/4/24
71:V/3,8/75/0/21;V/8,2/74/0/16;V/2,3/80/0/24;E/4,8/78/16/21;E/4,2/81/16/24;E/4,3/82/21/24
77:V/3,1/98/0/4;V/2,3/84/0/24;E/4,1/99/0/4;E/4,2/86/0/24;E/4,3/100/4/24
78:V/3,1/101/0/4;V/2,9/74/0/16;V/9,3/75/0/21;E/4,1/102/0/4;E/4,2/103/0/16;E/4,9/78/16/21;E/4,3/104/4/21
79:V/3,8/75/0/21;V/8,2/74/0/16;V/2,3/80/0/24;E/4,8/78/16/21;E/4,2/81/16/24;E/4,3/82/21/24
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,5;21322219/50000000;2,42,57,57,25,652;2,42,59,59,25,188
1;C;0,9;14362201/50000000;2,28,7,57,7,2204;2,28,8,59,7,1957
2;C;0,5;21322219/50000000;2,42,57,57,23,844;2,42,59,59,25,188
3;C;0,9;14362201/50000000;2,28,6,57,4,2283;2,28,8,59,7,1957
4;C;5,6;20752713/50000000;4,4150,5812,5812,2473,3209854;2,41,59,56,24,431
4;L;6,7;20752713/50000000,15380889/50000000;2,41,59,56,24,431;2,30,59,31,15,1108
4;C;7,9;14362201/50000000;2,28,59,31,15,708;2,28,59,8,7,1957
5;L;0,1;1730723/4000000,1760127/4000000;4,4326,1279,4589,5642,160910;4,4400,1291,4630,5692,98691
5;L;1,2;1760127/4000000,1398453/3125000;4,4400,1291,4630,5692,98691;4,4475,1302,4671,5742,45427
5;L;2,3;1398453/3125000,1137751/2500000;4,4475,1302,4671,5742,45427;4,4551,1313,4711,5792,7982
5;L;3,4;1137751/2500000,714227/1562500;4,4551,1313,4711,5792,7982;10,4571052800,1315814813,4721453150,5805065348,141144130323
6;C;0,6;20752713/50000000;2,41,6,38,57,222;10,4150542600,596403615,3876623495,5814935243,1245461978652
7;L;0,1;1730723/4000000,1760127/4000000;10,4326807500,1044039233,4667098034,5642000000,20990106555;8,44003175,11273726,46837648,56920000,31905020
7;L;1,2;1760127/4000000,1398453/3125000;8,44003175,11273726,46837648,56920000,31905020;10,4475049600,1210705899,4700431368,5742000000,180848250375
7;L;2,3;1398453/3125000,1137751/2500000;10,4475049600,1210705899,4700431368,5742000000,180848250375;10,4551004000,1294039233,4717098034,5792000000,601090106555
7;L;3,4;1137751/2500000,714227/1562500;10,4551004000,1294039233,4717098034,5792000000,601090106555;10,4571052800,1315814813,4721453150,5805065348,141144130323
8;C;0,6;20752713/50000000;2,41,3,38,57,249;10,4150542600,596403615,3876623495,5814935243,1245461978652
9;L;4,5;714227/1562500,21322219/50000000;10,4571052800,1315814813,4721453150,5805065348,141144130323;8,42644438,8134600,41315204,58119574,37395432
9;L;5,6;21322219/50000000,20752713/50000000;8,42644438,8134600,41315204,58119574,37395432;10,4150542600,596403615,3876623495,5814935243,1245461978652
10;C;0,9;14362201/50000000;2,28,0,38,35,1706;2,28,0,40,36,1408
11;C;0,9;14362201/50000000;2,28,0,38,34,1844;2,28,0,40,36,1408
12;L;6,7;20752713/50000000,15380889/50000000;10,4150542600,3876623495,596403615,5814935243,1245461978652;2,30,39,0,47,61
12;L;7,8;15380889/50000000,28782839/100000000;2,30,39,0,47,61;2,28,40,0,38,1112
12;C;8,9;14362201/50000000;2,28,40,0,38,1112;2,28,40,0,36,1408
13;C;0,8;28782839/100000000;2,28,10,57,8,2123;2,28,11,59,8,1870
14;C;0,8;28782839/100000000;2,28,8,57,5,2237;2,28,11,59,8,1870
15;C;0,9;14362201/50000000;2,28,9,55,7,2396;2,28,10,57,7,2153
16;C;0,9;14362201/50000000;2,28,7,55,4,2494;2,28,10,57,7,2153
17;C;8,9;14362201/50000000;2,28,11,59,8,1870;2,28,10,57,7,2153
18;L;0,1;1730723/4000000,1760127/4000000;4,4326,1412,4456,5642,1005992;2,44,15,45,57,52
18;L;1,2;1760127/4000000,1398453/3125000;2,44,15,45,57,52;4,4475,1437,4535,5742,927678
18;L;2,3;1398453/3125000,1137751/2500000;4,4475,1437,4535,5742,927678;4,4551,1450,4575,5792,892347
18;C;3,4;1137751/2500000;4,4551,1450,4575,5792,892347;4,4551,1453,4585,5806,467294
19;C;0,6;20752713/50000000;2,41,8,36,57,342;4,4150,773,3701,5815,1076620
20;L;0,1;1730723/4000000,1760127/4000000;4,4326,1236,4476,5642,1293400;4,4400,1303,4510,5692,1164363
20;L;1,2;1760127/4000000,1398453/3125000;4,4400,1303,4510,5692,1164363;4,4475,1369,4543,5742,1045862
20;L;2,3;1398453/3125000,1137751/2500000;4,4475,1369,4543,5742,1045862;4,4551,1436,4576,5792,923600
20;C;3,4;1137751/2500000;4,4551,1436,4576,5792,923600;4,4551,1453,4585,5806,467294
21;C;0,6;20752713/50000000;2,41,5,36,57,381;4,4150,773,3701,5815,1076620
22;L;4,5;714227/1562500,21322219/50000000;4,4571,1453,4585,5806,867294;4,4264,978,3968,5812,1019804
22;L;5,6;21322219/50000000,20752713/50000000;4,4264,978,3968,5812,1019804;4,4150,773,3701,5815,1076620
23;C;0,9;14362201/50000000;2,28,0,34,35,1994;2,28,0,36,36,1712
24;C;0,9;14362201/50000000;2,28,0,34,34,2132;2,28,0,36,36,1712
25;L;6,7;20752713/50000000,15380889/50000000;4,4150,3701,773,5815,1076620;2,30,37,0,47,213
25;C;7,9;14362201/50000000;4,2872,3613,0,4675,674981;2,28,36,0,36,1712
26;C;0,4;1730723/4000000;2,43,57,57,30,302;4,4326,5806,5806,3019,872006
27;C;0,4;1730723/4000000;2,43,57,57,29,420;4,4326,5806,5806,3019,872006
28;L;4,5;714227/1562500,21322219/50000000;2,45,59,59,31,116;2,42,59,59,25,188
29;L;0,1;1730723/4000000,1760127/4000000;4,4326,1279,5642,5116,705083;4,4400,1291,5692,5161,662613
29;L;1,2;1760127/4000000,1398453/3125000;4,4400,1291,5692,5161,662613;4,4475,1302,5742,5207,608534
29;L;2,3;1398453/3125000,1137751/2500000;4,4475,1302,5742,5207,608534;4,4551,1313,5792,5252,581759
29;C;3,4;1137751/2500000;4,4551,1313,5792,5252,581759;4,4551,1316,5806,5264,159116
30;C;0,8;28782839/100000000;2,28,0,57,27,893;2,28,0,59,28,551
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31;L;1,2;1760127/4000000,1398453/3125000;4,4400,1128,5692,5188,498064;4,4475,1211,5742,5222,524347
31;L;2,3;1398453/3125000,1137751/2500000;4,4475,1211,5742,5222,524347;4,4551,1295,5792,5255,565661
31;C;3,4;1137751/2500000;4,4551,1295,5792,5255,565661;4,4551,1316,5806,5264,159116
32;C;0,8;28782839/100000000;2,28,0,57,26,999;2,28,0,59,28,551
33;L;4,5;714227/1562500,21322219/50000000;4,4571,5806,1316,5264,559116;4,4264,5812,814,4972,1396492
33;L;5,6;21322219/50000000,20752713/50000000;4,4264,5812,814,4972,1396492;4,4150,5815,597,4846,1861934
33;L;6,7;20752713/50000000,15380889/50000000;4,4150,5815,597,4846,1861934;8,30761778,58420000,0,37009858,21639672
33;L;7,8;15380889/50000000,28782839/100000000;8,30761778,58420000,0,37009858,21639672;2,28,59,0,28,551
34;C;0,9;14362201/50000000;2,28,0,55,27,1117;2,28,0,57,28,783
35;C;0,9;14362201/50000000;2,28,0,55,26,1223;2,28,0,57,28,783
36;C;8,9;14362201/50000000;2,28,59,0,28,551;2,28,57,0,28,783
37;C;0,1;1730723/4000000;4,4326,1412,5642,5049,1709290;4,4326,1425,5692,5094,192839
37;C;1,2;1760127/4000000;2,44,15,57,51,124;4,4400,1437,5742,5139,145825
37;C;2,3;1398453/3125000;4,4475,1437,5742,5139,1645825;4,4475,1450,5792,5184,102524
37;C;3,4;1137751/2500000;2,45,15,58,52,3;4,4551,1453,5806,5195,1223105
38;C;0,9;14362201/50000000;2,28,0,57,24,1199;2,28,0,59,25,869
39;C;0,1;1730723/4000000;4,4326,1236,5642,5059,1973178;4,4326,1303,5692,5101,382925
39;C;1,2;1760127/4000000;4,4400,1303,5692,5101,1862925;4,4400,1369,5742,5143,254377
39;C;2,3;1398453/3125000;4,4475,1369,5742,5143,1754377;4,4475,1436,5792,5184,142928
39;C;3,4;1137751/2500000;2,45,15,58,52,3;4,4551,1453,5806,5195,1223105
40;C;0,9;14362201/50000000;2,28,0,57,23,1293;2,28,0,59,25,869
41;L;4,5;714227/1562500,21322219/50000000;4,4571,5806,1453,5195,1623105;2,42,59,10,49,17
41;C;5,6;20752713/50000000;4,4150,5812,978,4890,439972;2,41,59,8,48,47
41;L;6,7;20752713/50000000,15380889/50000000;2,41,59,8,48,47;4,3076,5842,0,3560,2043836
41;L;7,8;15380889/50000000,28782839/100000000;4,3076,5842,0,3560,2043836;2,28,59,0,26,767
41;C;8,9;14362201/50000000;2,28,59,0,26,767;2,28,59,0,25,869
42;C;0,4;1730723/4000000;2,43,39,57,12,3542;2,43,40,59,12,3231
43;C;0,16;24980067/100000000;2,24,0,57,0,1551;2,24,0,62,0,956
43;C;16,24;4516677/20000000;2,22,0,62,0,556;2,22,0,65,0,175
43;C;24,28;1117563/5000000;2,22,0,65,0,175;2,22,0,66,0,44
43;C;28,29;2237507/10000000;2,22,0,66,0,44;4,2237,0,6642,0,623836
43;C;29,30;701871/3125000;4,2245,0,6642,0,783836;4,2245,0,6692,0,117136
43;L;30,31;11302833/50000000,5703113/25000000;4,2260,0,6692,0,417136;4,2281,0,6742,0,165436
43;L;31,32;5703113/25000000,23080231/100000000;4,2281,0,6742,0,165436;4,2308,0,6792,0,28736
43;L;32,33;23080231/100000000,1162337/5000000;4,2308,0,6792,0,28736;6,232467,0,681848,0,17304896
44;C;0,4;1730723/4000000;2,43,57,39,10,3630;2,43,59,40,12,3231
45;C;0,16;24980067/100000000;2,24,0,57,0,1551;2,24,0,62,0,956
45;C;16,24;4516677/20000000;2,22,0,62,0,556;2,22,0,65,0,175
45;C;24,28;1117563/5000000;2,22,0,65,0,175;2,22,0,66,0,44
45;C;28,29;2237507/10000000;2,22,0,66,0,44;4,2237,0,6642,0,623836
45;C;29,30;701871/3125000;4,2245,0,6642,0,783836;4,2245,0,6692,0,117136
45;L;30,31;11302833/50000000,5703113/25000000;4,2260,0,6692,0,417136;4,2281,0,6742,0,165436
45;L;31,32;5703113/25000000,23080231/100000000;4,2281,0,6742,0,165436;4,2308,0,6792,0,28736
45;L;32,33;23080231/100000000,1162337/5000000;4,2308,0,6792,0,28736;6,232467,0,681848,0,17304896
46;C;4,11;1102607/4000000;2,27,59,40,12,31;2,27,60,30,10,700
46;C;11,18;603719/2500000;2,24,60,30,10,100;2,24,63,8,5,717
46;C;18,25;11243309/50000000;2,22,63,8,5,317;2,22,65,0,1,173
46;C;25,29;1117563/5000000;2,22,65,0,1,173;4,2235,6642,0,0,583836
46;C;29,30;701871/3125000;4,2245,6642,0,0,783836;4,2245,6692,0,0,117136
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46;L;31,32;5703113/25000000,23080231/100000000;4,2281,6742,0,0,165436;4,2308,6792,0,0,28736
46;L;32,33;23080231/100000000,1162337/5000000;4,2308,6792,0,0,28736;6,232467,681848,0,0,17304896
47;C;0,4;1730723/4000000;2,43,0,29,50,2759;2,43,0,30,51,2498
48;C;0,33;1117563/5000000;2,22,0,29,17,2981;2,22,0,35,20,2375
49;C;0,4;1730723/4000000;2,43,0,29,50,2759;2,43,0,30,51,2498
50;C;0,33;1117563/5000000;2,22,0,29,11,3317;2,22,0,35,20,2375
51;C;4,7;15380889/50000000;4,3076,2903,0,5051,2067389;2,30,30,0,50,100
51;C;7,9;14362201/50000000;4,2872,2921,0,4939,120317;4,2872,2934,0,4860,1592444
51;C;9,10;28333063/100000000;4,2833,2934,0,4860,812444;2,28,30,0,48,92
51;C;10,11;1102607/4000000;4,2756,2946,0,4786,629492;2,27,30,0,47,82
51;C;11,12;26853997/100000000;4,2685,2971,0,4634,1925247;2,26,30,0,45,250
51;C;12,14;25601771/100000000;2,25,30,0,45,50;2,25,31,0,42,511
51;C;14,18;603719/2500000;2,24,31,0,42,311;2,24,32,0,38,888
51;C;18,33;1117563/5000000;2,22,32,0,38,488;2,22,35,0,20,2375
52;C;0,19;1505259/6250000;2,24,6,57,4,1483;2,24,7,63,4,750
53;C;0,19;1505259/6250000;2,24,0,57,0,1551;2,24,7,63,4,750
54;C;0,33;1117563/5000000;2,22,0,29,0,3559;2,22,0,35,0,3175
55;C;0,33;1117563/5000000;2,22,0,29,0,3559;2,22,0,35,0,3175
56;C;19,33;1117563/5000000;2,22,7,63,4,350;2,22,0,35,0,3175
57;C;0,4;1730723/4000000;2,43,0,27,50,2871;2,43,0,27,51,2669
58;C;0,33;1117563/5000000;2,22,0,25,17,3197;2,22,0,30,20,2700
59;C;0,4;1730723/4000000;2,43,0,26,50,2924;2,43,0,27,51,2669
60;C;0,33;1117563/5000000;2,22,0,18,11,3834;2,22,0,30,20,2700
61;C;4,7;15380889/50000000;2,30,27,0,51,69;2,30,28,0,50,216
61;C;7,9;14362201/50000000;4,2872,2707,0,4939,1324709;2,28,28,0,49,14
61;C;9,11;1102607/4000000;4,2756,2713,0,4860,520431;2,27,28,0,47,198
61;C;11,14;25601771/100000000;4,2560,2731,0,4634,793727;2,25,28,0,42,688
61;C;14,18;603719/2500000;2,24,28,0,42,488;2,24,29,0,38,1071
61;C;18,33;1117563/5000000;2,22,29,0,38,671;2,22,30,0,20,2700
62;C;0,4;1730723/4000000;2,43,0,57,35,2901;2,43,0,59,36,2527
63;C;0,19;1505259/6250000;2,24,0,57,20,751;10,2408414400,0,6250186905,2133477261,1206158396733
64;C;0,4;1730723/4000000;2,43,0,57,36,2759;2,43,0,59,36,2527
65;C;0,19;1505259/6250000;2,24,0,57,17,973;10,2408414400,0,6250186905,2133477261,1206158396733
66;C;4,7;15380889/50000000;4,3076,5806,0,3600,1890364;2,30,59,0,35,69
66;L;7,8;15380889/50000000,28782839/100000000;2,30,59,0,35,69;12,287828390000,586430271508,0,340408810572,28965845471568
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66;L;9,10;14362201/50000000,28333063/100000000;10,2872440200,5867841602,0,3392435523,1378413506538;8,28333063,58920000,0,33128886,24798008
66;L;10,11;28333063/100000000,1102607/4000000;8,28333063,58920000,0,33128886,24798008;8,27565175,59420000,0,31482523,91108942
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66;L;12,13;26853997/100000000,26199529/100000000;8,26853997,59920000,0,29836160,112908800;8,26199529,60420000,0,28189797,90197582
66;L;13,14;26199529/100000000,25601771/100000000;8,26199529,60420000,0,28189797,90197582;8,25601771,60920000,0,26543434,22975288
66;L;14,15;25601771/100000000,6265181/25000000;8,25601771,60920000,0,26543434,22975288;8,25060724,61420000,0,24897071,111241918
66;L;15,16;6265181/25000000,24980067/100000000;8,25060724,61420000,0,24897071,111241918;10,2498006700,6149935660,0,2463577127,856505216142
66;L;16,17;24980067/100000000,24576387/100000000;10,2498006700,6149935660,0,2463577127,856505216142;8,24576387,61920000,0,23250708,154997472
66;L;17,18;24576387/100000000,603719/2500000;8,24576387,61920000,0,23250708,154997472;8,24148760,62420000,0,21604345,154241950
66;L;18,19;603719/2500000,1505259/6250000;8,24148760,62420000,0,21604345,154241950;10,2408414400,6250186905,0,2133477261,1206158396733
67;L;19,20;1505259/6250000,2893387/12500000;10,2408414400,0,6250186905,2133477261,1206158396733;4,2314,0,6042,2122,768468
67;C;20,22;2858243/12500000;4,2286,0,6042,2122,208468;2,22,0,58,22,68
67;C;22,26;22388443/100000000;2,22,0,58,22,68;2,22,0,51,21,917
67;C;26,33;1117563/5000000;2,22,0,51,21,917;2,22,0,35,20,2375
68;C;0,4;1730723/4000000;2,43,0,57,34,3039;2,43,0,59,35,2669
69;C;0,16;24980067/100000000;2,24,0,57,1,1549;2,24,0,62,1,954
69;C;16,24;4516677/20000000;2,22,0,62,1,554;2,22,0,65,1,173
69;C;24,28;1117563/5000000;2,22,0,65,1,173;2,22,0,66,1,42
69;C;28,29;2237507/10000000;2,22,0,66,1,42;4,2237,0,6642,30,622036
69;C;29,30;701871/3125000;4,2245,0,6642,30,782036;4,2245,0,6692,30,115336
69;L;30,31;11302833/50000000,5703113/25000000;4,2260,0,6692,30,415336;4,2281,0,6742,30,163636
69;L;31,32;5703113/25000000,23080231/100000000;4,2281,0,6742,30,163636;4,2308,0,6792,31,26814
69;L;32,33;23080231/100000000,1162337/5000000;4,2308,0,6792,31,26814;8,23246740,0,68184784,302596,102194912
70;C;0,4;1730723/4000000;2,43,0,57,34,3039;2,43,0,59,35,2669
71;C;0,16;24980067/100000000;2,24,0,57,0,1551;2,24,0,62,0,956
71;C;16,24;4516677/20000000;2,22,0,62,0,556;2,22,0,65,0,175
71;C;24,28;1117563/5000000;2,22,0,65,0,175;2,22,0,66,0,44
71;C;28,29;2237507/10000000;2,22,0,66,0,44;4,2237,0,6642,0,623836
71;C;29,30;701871/3125000;4,2245,0,6642,0,783836;4,2245,0,6692,0,117136
71;L;30,31;11302833/50000000,5703113/25000000;4,2260,0,6692,0,417136;4,2281,0,6742,0,165436
71;L;31,32;5703113/25000000,23080231/100000000;4,2281,0,6742,0,165436;4,2308,0,6792,11,28494
71;L;32,33;23080231/100000000,1162337/5000000;4,2308,0,6792,11,28494;8,23246740,0,68184784,302596,102194912
72;C;4,7;15380889/50000000;2,30,59,0,35,69;2,30,59,0,34,207
72;C;7,9;14362201/50000000;4,2872,5842,0,3371,583754;4,2872,5868,0,3282,1463528
72;C;9,10;28333063/100000000;4,2833,5868,0,3282,683528;2,28,59,0,32,71
72;L;10,11;28333063/100000000,1102607/4000000;2,28,59,0,32,71;4,2756,5942,0,3029,1462954
72;C;11,12;26853997/100000000;4,2685,5942,0,3029,42954;4,2685,5992,0,2858,1459608
72;C;12,13;26199529/100000000;4,2619,5992,0,2858,139608;2,26,61,0,27,21
72;C;13,14;25601771/100000000;4,2560,6042,0,2687,254298;4,2560,6092,0,2516,1427024
72;C;14,16;24980067/100000000;4,2498,6092,0,2516,187024;4,2498,6150,0,2317,1400522
72;C;16,17;24576387/100000000;4,2457,6150,0,2317,580522;4,2457,6192,0,2174,1346584
72;C;17,18;603719/2500000;4,2414,6192,0,2174,486584;4,2414,6242,0,2002,1301428
72;C;18,19;1505259/6250000;4,2408,6242,0,2002,1181428;2,24,63,0,20,31
72;L;19,20;1505259/6250000,2893387/12500000;2,24,63,0,20,31;8,23147096,62920000,0,18309733,154937422
72;L;20,21;2893387/12500000,2861299/12500000;8,23147096,62920000,0,18309733,154937422;10,2289039200,6337179648,0,1676445322,273663228728
72;L;21,22;2861299/12500000,2858243/12500000;10,2289039200,6337179648,0,1676445322,273663228728;8,22865944,63420000,0,16599583,88452222
72;L;22,23;2858243/12500000,4529157/20000000;8,22865944,63420000,0,16599583,88452222;8,22645785,63920000,0,14889434,110319288
72;L;23,24;4529157/20000000,4516677/20000000;8,22645785,63920000,0,14889434,110319288;10,2258338500,6409426616,0,1429339064,134357996352
72;L;24,25;4516677/20000000,11243309/50000000;10,2258338500,6409426616,0,1429339064,134357996352;8,22486618,64420000,0,13179284,146494688
72;L;25,26;11243309/50000000,22388443/100000000;8,22486618,64420000,0,13179284,146494688;8,22388443,64920000,0,11469134,130580088
72;L;26,27;22388443/100000000,1117563/5000000;8,22388443,64920000,0,11469134,130580088;8,22351260,65420000,0,9758985,23539550
72;L;27,28;1117563/5000000,2237507/10000000;8,22351260,65420000,0,9758985,23539550;8,22375070,65920000,0,8048835,110285550
72;L;28,29;2237507/10000000,701871/3125000;8,22375070,65920000,0,8048835,110285550;8,22459872,66420000,0,6338685,144941550
72;L;29,30;701871/3125000,11302833/50000000;8,22459872,66420000,0,6338685,144941550;8,22605666,66920000,0,4628535,127507550
72;L;30,31;11302833/50000000,5703113/25000000;8,22605666,66920000,0,4628535,127507550;8,22812452,67420000,0,2918386,46310008
72;L;31,32;5703113/25000000,23080231/100000000;8,22812452,67420000,0,2918386,46310008;8,23080231,67920000,0,1208236,131536608
72;L;32,33;23080231/100000000,1162337/5000000;8,23080231,67920000,0,1208236,131536608;8,23246740,68184784,0,302596,102194912
73;C;0,4;1730723/4000000;2,43,3,57,3,5324;2,43,3,59,3,5092
74;C;0,16;24980067/100000000;2,24,0,57,0,1551;2,24,0,62,0,956
75;C;0,21;2861299/12500000;2,22,0,57,0,1151;2,22,0,64,0,304
76;C;0,4;1730723/4000000;2,43,2,57,1,5345;2,43,3,59,3,5092
77;C;0,16;24980067/100000000;2,24,0,57,0,1551;2,24,0,62,0,956
78;C;16,21;2861299/12500000;2,22,0,62,0,556;2,22,0,64,0,304
79;C;4,21;2861299/12500000;2,22,59,3,3,892;2,22,64,0,0,304
80;C;0,24;4516677/20000000;2,22,0,54,0,1484;2,22,0,61,0,679
81;C;16,24;4516677/20000000;2,22,0,62,0,556;2,22,0,61,0,679
82;C;21,24;4516677/20000000;2,22,0,64,0,304;2,22,0,61,0,679
83;C;0,4;1730723/4000000;2,43,0,23,32,6023;2,43,0,24,33,5846
84;C;0,24;4516677/20000000;2,22,0,23,13,3533;2,22,0,26,15,3274
85;C;0,4;1730723/4000000;2,43,0,23,32,6023;2,43,0,24,33,5846
86;C;0,24;4516677/20000000;2,22,0,23,10,3671;2,22,0,26,15,3274
87;C;4,24;4516677/20000000;2,22,24,0,33,1646;2,22,26,0,15,3274
88;C;0,4;1730723/4000000;2,43,4,56,3,5430;2,43,5,57,3,5308
89;C;0,24;4516677/20000000;2,22,0,23,0,3871;2,22,0,26,0,3724
90;C;0,4;1730723/4000000;2,43,3,57,1,5340;2,43,5,57,3,5308
91;C;0,24;4516677/20000000;2,22,0,23,0,3871;2,22,0,26,0,3724
92;C;4,24;4516677/20000000;2,22,5,57,3,1108;2,22,0,26,0,3724
93;C;0,4;1730723/4000000;2,43,0,21,32,6111;2,43,0,21,33,5981
94;C;0,24;4516677/20000000;2,22,0,20,13,3662;2,22,0,23,15,3421
95;C;0,4;1730723/4000000;2,43,0,20,32,6152;2,43,0,21,33,5981
96;C;0,24;4516677/20000000;2,22,0,15,10,3975;2,22,0,23,15,3421
97;C;4,24;4516677/20000000;2,22,21,0,33,1781;2,22,23,0,15,3421
98;C;0,4;1730723/4000000;2,43,0,56,16,4952;2,43,0,57,16,4839
99;C;0,4;1730723/4000000;2,43,0,57,15,4901;2,43,0,57,16,4839
100;C;4,24;4516677/20000000;2,22,0,57,16,639;2,22,0,26,15,3274
101;C;0,4;1730723/4000000;2,43,0,57,14,4959;2,43,0,59,14,4727
102;C;0,4;1730723/4000000;2,43,0,57,13,5013;2,43,0,59,14,4727
103;C;0,16;24980067/100000000;2,24,0,57,0,1551;2,24,0,62,0,956
104;C;4,21;2861299/12500000;2,22,59,0,14,527;2,22,64,0,0,304
MASS SLACK NUMERATOR 13223237095695181841088117797307721037055013553912638995778160460425148287699816643701164427277

BIN 2: PPC; (25/24,13/12]; gamma0=2853/5000; mass ceiling=3756723/4000000.
GAMMA 0=2853/5000;1=1439/2500;2=2903/5000;3=366/625;4=11691225000/19927592081;5=261703575000/444866473531;6=18885825000/32062533037;7=53285006250/90299443039;8=2953/5000;9=1489/2500;10=3003/5000;11=1199100000/1994715089;12=4496625000/7459350281;13=757/1250;14=3053/5000;15=1539/2500;16=3103/5000;17=391/625;18=8393700000/13332542081;19=3153/5000;20=123807075000/196022609603;21=1589/2500;22=3203/5000;23=807/1250;24=4496625000/6946111003;25=3253/5000;26=1639/2500;27=3303/5000;28=416/625;29=3353/5000;30=1689/2500;31=3403/5000;32=857/1250;33=6295275000/9135692081;34=3453/5000;35=1739/2500;36=3503/5000;37=441/625;38=3553/5000;39=1789/2500;40=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,42580227,43265798;1,2,43265798,43964393;2,3,43964393,44676014;3,4,44676014,44832196;4,5,44832196,42266144;5,6,42266144,41227973;6,7,41227973,39020411;7,8,39020411,38013554;8,9,38013554,30475831;9,10,30475831,26748626;10,11,26748626,26673799;11,12,26673799,26444961;12,13,26444961,26080457;13,14,26080457,25471983;14,15,25471983,24923204;15,16,24923204,24434120;16,17,24434120,24004731;17,18,24004731,23706674;18,19,23706674,23365667;19,20,23365667,23301953;20,21,23301953,23070426;21,22,23070426,22836729;22,23,22836729,22664576;23,24,22664576,22618655;24,25,22618655,22553967;25,26,22553967,22504902;26,27,22504902,22517381;27,28,22517381,22591403;28,29,22591403,22726970;29,30,22726970,22924081;30,31,22924081,23182735;31,32,23182735,23502368;32,33,23502368,23741957;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0;38,39,0,0;39,40,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;212302790303/70147350000,5/13,19927592081/10791900000;-52144106965801
1;0,3,7;5/156,1,1;-1
3;0,3,7;59/52,3,1;-2
4;2,3,7;8/13,49/26,5/12;-41
5;2,3,8;101/156,56/39,5/12;-47
8;1,3,6;28/39,75/26,13/12;-28
9;1,4,10;10576410731/3597300000,3/2,19927592081/10791900000;-1820421689677
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;4/3,1/3,5/12;-1
17;2,3,8;101/156,56/39,5/12;-47
19;0,3,13;95/78,2,1;-1
21;0,3,13;83/156,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;101/156,56/39,5/12;-47
26;1,3,12;95/78,44/13,13/12;-95
27;0,1,7;8/13,2,1;-1
28;0,3,7;5/156,1,1;-1
30;0,3,7;59/52,3,1;-2
31;2,3,7;21/13,49/26,7/12;-28
32;2,3,8;257/156,33/26,7/12;-4
33;1,4,12;16330292081/3597300000,1/2,19927592081/10791900000;-3319296689677
35;1,3,6;28/39,75/26,13/12;-28
36;1,4,10;16330292081/3597300000,1/2,19927592081/10791900000;-4818171689677
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;16330292081/3597300000,1/2,19927592081/10791900000;-3319296689677
44;2,3,8;257/156,33/26,7/12;-4
45;1,4,13;223085697053/46764900000,5/13,19927592081/10791900000;-52144106965801
46;0,3,13;95/78,2,1;-1
48;0,3,13;83/156,1,1;-1
49;1,12,13;3,70/13,267/26;-1
52;2,3,8;257/156,33/26,7/12;-4
53;1,3,12;95/78,44/13,13/12;-95
54;0,1,7;21/13,2,1;-1
55;0,3,7;5/156,1,1;-1
57;0,1,12;1/2,3,1;-1
58;2,3,7;34/13,31/13,5/6;-28
60;0,1,12;1/2,3,1;-1
62;1,3,6;28/39,75/26,13/12;-28
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;6946111003/1348987500,1,19927592081/10791900000;-321546689677
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;95/78,2,1;-1
74;1,4,6;6946111003/1348987500,1,19927592081/10791900000;-321546689677
75;0,3,13;83/156,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;95/78,44/13,13/12;-95
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;227146550314996,283121836276031997300000,1602131531076,644
6;1,4,12,3;2136939723876,9627106168224927900000,1313208109084,20
7;11,4,2,3;1313208109084,19290032157771692100000,1602131531076,44
11;8,4,6,3;227146550314996,25565277978342795853125,304577851083,457
14;5,4,2,3;304577851083,123470815572346134375,1602131531076,3
15;1,4,12,3;2136939723876,9627106168224927900000,1313208109084,20
16;11,4,2,3;1313208109084,19290032157771692100000,1602131531076,44
18;1,4,13,3;2136939723876,92800961961924062700000,227146550314996,188
20;1,4,6,3;2136939723876,3935486661864836990625,304577851083,69
23;5,4,2,3;304577851083,123470815572346134375,1602131531076,3
24;1,4,2,3;2136939723876,43135224300000000000000,1602131531076,96
29;1,4,2,3;2136939723876,32351418225000000000000,7216327323876,72
34;1,4,2,3;2136939723876,32351418225000000000000,7216327323876,72
38;1,4,6,3;2136939723876,15308184182418695925000,3930757442907,33
41;5,4,2,3;3930757442907,2697975000,7216327323876,3
43;1,4,2,3;2136939723876,32351418225000000000000,7216327323876,72
47;1,4,6,3;2136939723876,15308184182418695925000,3930757442907,33
50;5,4,2,3;3930757442907,2697975000,7216327323876,3
51;1,4,2,3;2136939723876,32351418225000000000000,7216327323876,72
56;1,4,2,7,3;2136939723876,8087854556250000000000,7822862453096,1196,1128
59;8,2,3;1196,46,138
61;1,4,2,3;2136939723876,8087854556250000000000,1777246872294,18
68;1,4,2,3;2136939723876,8087854556250000000000,1777246872294,18
70;1,4,2,3;2136939723876,8087854556250000000000,1777246872294,18
71;8,2,3;1196,46,138
77;1,4,2,3;2136939723876,8087854556250000000000,1777246872294,18
78;1,4,2,9,3;2136939723876,8087854556250000000000,7822862453096,1196,1128
79;8,2,3;1196,46,138
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;2,3
44;29;E;4,1
45;29;E;4,2
46;29;E;4,3
47;34;V;3,1
48;34;V;2,3
49;34;E;4,1
50;34;E;4,2
51;34;E;4,3
52;38;V;6,3
53;38;E;4,6
54;41;V;2,3
55;41;E;4,2
56;41;E;4,3
57;43;V;3,1
58;43;V;2,3
59;43;E;4,1
60;43;E;4,2
61;43;E;4,3
62;47;V;3,1
63;47;V;6,3
64;47;E;4,1
65;47;E;4,6
66;47;E;4,3
67;50;E;4,3
68;51;V;3,1
69;51;V;2,3
70;51;E;4,1
71;51;E;4,2
72;51;E;4,3
73;56;V;3,1
74;56;V;2,7
75;56;V;7,3
76;56;E;4,1
77;56;E;4,2
78;56;E;4,7
79;56;E;4,3
80;59;V;2,3
81;59;E;4,2
82;59;E;4,3
83;61;V;3,1
84;61;V;2,3
85;61;E;4,1
86;61;E;4,2
87;61;E;4,3
88;68;V;3,1
89;68;V;2,3
90;68;E;4,1
91;68;E;4,2
92;68;E;4,3
93;70;V;3,1
94;70;V;2,3
95;70;E;4,1
96;70;E;4,2
97;70;E;4,3
98;77;V;3,1
99;77;E;4,1
100;77;E;4,3
101;78;V;3,1
102;78;E;4,1
103;78;E;4,2
104;78;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:
2:V/3,5/0/0/5;V/2,3/1/0/12;E/4,5/2/0/5;E/4,2/3/0/12;E/4,3/4/5/12
6:V/3,1/5/0/4;V/12,3/6/0/6;E/4,1/7/0/4;E/4,12/8/0/6;E/4,3/9/4/6
7:V/3,11/6/0/6;V/2,3/10/0/12;E/4,11/8/0/6;E/4,2/11/0/12;E/4,3/12/6/12
11:V/3,8/0/0/5;V/6,3/13/0/11;E/4,8/2/0/5;E/4,6/14/0/11;E/4,3/4/5/11
14:V/3,5/13/0/11;V/2,3/15/0/12;E/4,5/14/0/11;E/4,2/16/0/12;E/4,3/17/11/12
15:V/3,1/18/0/4;V/12,3/19/0/6;E/4,1/20/0/4;E/4,12/21/0/6;E/4,3/22/4/6
16:V/3,11/19/0/6;V/2,3/23/0/12;E/4,11/21/0/6;E/4,2/24/0/12;E/4,3/25/6/12
18:V/3,1/26/0/4;V/13,3/0/0/5;E/4,1/27/0/4;E/4,13/2/0/5;E/4,3/28/4/5
20:V/3,1/29/0/4;V/6,3/30/0/11;E/4,1/31/0/4;E/4,6/32/0/11;E/4,3/33/4/11
23:V/3,5/30/0/11;V/2,3/34/0/12;E/4,5/32/0/11;E/4,2/35/0/12;E/4,3/36/11/12
24:V/3,1/37/0/4;V/2,3/38/0/12;E/4,1/39/0/4;E/4,2/40/0/12;E/4,3/41/4/12
29:V/3,1/42/0/4;V/2,3/43/0/33;E/4,1/44/0/4;E/4,2/45/0/33;E/4,3/46/4/33
34:V/3,1/47/0/4;V/2,3/48/0/33;E/4,1/49/0/4;E/4,2/50/0/33;E/4,3/51/4/33
38:V/3,1/42/0/4;V/6,3/52/0/18;E/4,1/44/0/4;E/4,6/53/0/18;E/4,3/46/4/18
40:V/2,3/48/0/33;E/4,2/50/0/33
41:V/3,5/52/0/18;V/2,3/54/0/33;E/4,5/53/0/18;E/4,2/55/0/33;E/4,3/56/18/33
43:V/3,1/57/0/4;V/2,3/58/0/33;E/4,1/59/0/4;E/4,2/60/0/33;E/4,3/61/4/33
47:V/3,1/62/0/4;V/6,3/63/0/18;E/4,1/64/0/4;E/4,6/65/0/18;E/4,3/66/4/18
50:V/3,5/63/0/18;V/2,3/48/0/33;E/4,5/65/0/18;E/4,2/50/0/33;E/4,3/67/18/33
51:V/3,1/68/0/4;V/2,3/69/0/33;E/4,1/70/0/4;E/4,2/71/0/33;E/4,3/72/4/33
56:V/3,1/73/0/4;V/2,7/74/0/7;V/7,3/75/0/20;E/4,1/76/0/4;E/4,2/77/0/7;E/4,7/78/7/20;E/4,3/79/4/20
59:V/3,8/75/0/20;V/8,2/74/0/7;V/2,3/80/0/24;E/4,8/78/7/20;E/4,2/81/7/24;E/4,3/82/20/24
61:V/3,1/83/0/4;V/2,3/84/0/24;E/4,1/85/0/4;E/4,2/86/0/24;E/4,3/87/4/24
67:V/2,3/84/0/24;E/4,2/86/0/24
68:V/3,1/88/0/4;V/2,3/89/0/24;E/4,1/90/0/4;E/4,2/91/0/24;E/4,3/92/4/24
70:V/3,1/93/0/4;V/2,3/94/0/24;E/4,1/95/0/4;E/4,2/96/0/24;E/4,3/97/4/24
71:V/3,8/75/0/20;V/8,2/74/0/7;V/2,3/80/0/24;E/4,8/78/7/20;E/4,2/81/7/24;E/4,3/82/20/24
77:V/3,1/98/0/4;V/2,3/84/0/24;E/4,1/99/0/4;E/4,2/86/0/24;E/4,3/100/4/24
78:V/3,1/101/0/4;V/2,9/74/0/7;V/9,3/75/0/20;E/4,1/102/0/4;E/4,2/103/0/7;E/4,9/78/7/20;E/4,3/104/4/20
79:V/3,8/75/0/20;V/8,2/74/0/7;V/2,3/80/0/24;E/4,8/78/7/20;E/4,2/81/7/24;E/4,3/82/20/24
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,5;1320817/3125000;2,42,58,58,22,704;2,42,59,59,23,380
1;C;0,12;26444961/100000000;2,26,3,58,5,1777;2,26,3,61,5,1420
2;C;0,5;1320817/3125000;2,42,58,58,20,872;2,42,59,59,23,380
3;C;0,12;26444961/100000000;2,26,1,58,2,1827;2,26,3,61,5,1420
4;C;5,6;41227973/100000000;2,41,59,59,23,180;2,41,59,56,22,615
4;C;6,8;19006777/50000000;2,38,59,56,22,15;2,38,60,50,20,700
4;L;8,9;19006777/50000000,30475831/100000000;2,38,60,50,20,700;2,30,60,31,14,1047
4;C;9,10;13374313/50000000;2,26,60,31,14,247;2,26,61,11,8,1230
4;C;10,12;26444961/100000000;2,26,61,11,8,1230;2,26,61,3,5,1420
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6;C;0,6;41227973/100000000;2,41,4,35,58,231;10,4122797300,327239429,3599633718,5890309721,233731054753
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10;C;0,12;26444961/100000000;2,26,0,35,33,1797;2,26,0,37,35,1381
11;C;0,12;26444961/100000000;2,26,0,35,32,1927;2,26,0,37,35,1381
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12;L;9,10;30475831/100000000,13374313/50000000;2,30,37,0,48,23;2,26,37,0,39,789
12;C;10,12;26444961/100000000;2,26,37,0,39,789;2,26,37,0,35,1381
13;C;0,11;26673799/100000000;2,26,9,58,7,1657;2,26,9,61,7,1300
14;C;0,11;26673799/100000000;2,26,6,58,3,1782;2,26,9,61,7,1300
15;C;0,12;26444961/100000000;2,26,7,53,5,2292;2,26,7,56,5,1965
16;C;0,12;26444961/100000000;2,26,4,54,2,2260;2,26,7,56,5,1965
17;C;11,12;26444961/100000000;2,26,9,61,7,1300;2,26,7,56,5,1965
18;L;0,1;42580227/100000000,21632899/50000000;4,4258,993,4275,5706,781454;4,4326,1001,4313,5756,652958
18;L;1,2;21632899/50000000,43964393/100000000;4,4326,1001,4313,5756,652958;4,4396,1010,4350,5806,558128
18;L;2,3;43964393/100000000,22338007/50000000;4,4396,1010,4350,5806,558128;4,4467,1019,4388,5856,461623
18;C;3,4;22338007/50000000;4,4467,1019,4388,5856,461623;4,4467,1021,4396,5867,129365
19;C;0,6;41227973/100000000;2,41,4,35,58,231;4,4122,412,3516,5891,500238
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20;L;2,3;43964393/100000000,22338007/50000000;4,4396,936,4359,5806,623751;4,4467,1006,4389,5856,479171
20;C;3,4;22338007/50000000;4,4467,1006,4389,5856,479171;4,4467,1021,4396,5867,129365
21;C;0,6;41227973/100000000;2,41,2,34,58,312;4,4122,412,3516,5891,500238
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23;C;0,12;26444961/100000000;2,26,0,34,33,1866;2,26,0,36,35,1454
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26;C;0,4;42580227/100000000;2,42,58,58,27,214;4,4258,5867,5867,2708,1650094
27;C;0,4;42580227/100000000;2,42,58,58,26,320;4,4258,5867,5867,2708,1650094
28;C;4,5;1320817/3125000;4,4226,5867,5867,2708,1010094;2,42,59,59,23,380
29;L;0,1;42580227/100000000,21632899/50000000;4,4258,927,5706,5024,1261083;4,4326,935,5756,5068,1144991
29;L;1,2;21632899/50000000,43964393/100000000;4,4326,935,5756,5068,1144991;4,4396,943,5806,5112,1056027
29;L;2,3;43964393/100000000,22338007/50000000;4,4396,943,5806,5112,1056027;4,4467,951,5856,5156,974191
29;C;3,4;22338007/50000000;4,4467,951,5856,5156,974191;4,4467,953,5867,5165,655652
30;C;0,11;26673799/100000000;2,26,0,58,25,586;2,26,0,61,26,127
31;L;0,1;42580227/100000000,21632899/50000000;4,4258,667,5706,5067,807697;4,4326,756,5756,5098,837720
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31;L;2,3;43964393/100000000,22338007/50000000;4,4396,845,5806,5128,903571;4,4467,934,5856,5159,944346
31;C;3,4;22338007/50000000;4,4467,934,5856,5159,944346;4,4467,953,5867,5165,655652
32;C;0,11;26673799/100000000;2,26,0,58,24,684;2,26,0,61,26,127
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33;L;6,7;41227973/100000000,39020411/100000000;2,41,59,4,48,95;4,3902,5901,45,4555,1720124
33;L;7,8;39020411/100000000,19006777/50000000;4,3902,5901,45,4555,1720124;4,3801,5906,0,4465,1266714
33;L;8,9;19006777/50000000,30475831/100000000;4,3801,5906,0,4465,1266714;10,3047583100,5956000000,0,3569154346,508858624568
33;L;9,10;30475831/100000000,13374313/50000000;10,3047583100,5956000000,0,3569154346,508858624568;2,26,61,0,27,21
33;C;10,11;26673799/100000000;2,26,61,0,27,21;2,26,61,0,26,127
34;C;0,12;26444961/100000000;2,26,0,53,24,1239;2,26,0,56,26,712
35;C;0,12;26444961/100000000;2,26,0,54,23,1226;2,26,0,56,26,712
36;C;11,12;26444961/100000000;2,26,0,61,26,127;2,26,0,56,26,712
37;C;0,1;42580227/100000000;4,4258,993,5706,4991,1795353;4,4258,1001,5756,5035,324013
37;C;1,2;21632899/50000000;4,4326,1001,5756,5035,1684013;4,4326,1010,5806,5078,218096
37;C;2,3;43964393/100000000;4,4396,1010,5806,5078,1618096;4,4396,1019,5856,5122,119135
37;C;3,4;22338007/50000000;4,4467,1019,5856,5122,1539135;4,4467,1021,5867,5132,1201022
38;C;0,12;26444961/100000000;2,26,0,58,21,954;2,26,0,61,22,511
39;C;0,1;42580227/100000000;4,4258,797,5706,5002,1926347;4,4258,867,5756,5042,433247
39;C;1,2;21632899/50000000;4,4326,867,5756,5042,1793247;4,4326,936,5806,5083,260490
39;C;2,3;43964393/100000000;4,4396,936,5806,5083,1660490;4,4396,1006,5856,5123,124970
39;C;3,4;22338007/50000000;4,4467,1006,5856,5123,1544970;4,4467,1021,5867,5132,1201022
40;C;0,12;26444961/100000000;2,26,0,58,20,1036;2,26,0,61,22,511
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41;C;7,8;19006777/50000000;4,3801,5901,136,4510,499503;4,3801,5906,4,4417,2119370
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41;C;10,12;26444961/100000000;2,26,61,0,26,127;2,26,61,0,22,511
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43;C;0,16;610853/2500000;2,24,0,58,0,1436;2,24,0,63,0,831
43;C;16,24;4523731/20000000;2,22,0,63,0,431;2,22,0,65,0,175
43;C;24,28;11252451/50000000;2,22,0,65,0,175;4,2250,0,6656,0,697664
43;C;28,29;22591403/100000000;4,2259,0,6656,0,877664;4,2259,0,6706,0,209564
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46;C;4,11;26673799/100000000;4,2667,5867,3818,1025,2239937;2,26,61,28,9,533
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46;C;18,25;22553967/100000000;2,22,63,6,4,363;2,22,66,0,1,42
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47;C;0,4;42580227/100000000;2,42,0,27,49,2869;2,42,0,27,51,2469
48;C;0,33;11252451/50000000;2,22,0,27,16,3159;2,22,0,32,19,2654
49;C;0,4;42580227/100000000;2,42,0,27,49,2869;2,42,0,27,51,2469
50;C;0,33;11252451/50000000;2,22,0,27,10,3471;2,22,0,32,19,2654
51;C;4,7;39020411/100000000;2,39,27,0,51,1869;2,39,28,0,50,2016
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51;C;9,11;26673799/100000000;4,2667,2730,0,4734,1065588;2,26,28,0,46,184
51;C;11,14;25471983/100000000;4,2547,2756,0,4562,1720776;2,25,28,0,43,518
51;C;14,18;11853337/50000000;2,23,28,0,43,118;2,23,29,0,37,1021
51;C;18,33;11252451/50000000;2,22,29,0,37,821;2,22,32,0,19,2654
52;C;0,18;11853337/50000000;2,23,6,58,4,1168;2,23,6,63,4,563
53;C;0,18;11853337/50000000;2,23,0,58,0,1236;2,23,6,63,4,563
54;C;0,33;11252451/50000000;2,22,0,27,0,3671;2,22,0,32,0,3376
55;C;0,33;11252451/50000000;2,22,0,27,0,3671;2,22,0,32,0,3376
56;C;18,33;11252451/50000000;2,22,6,63,4,363;2,22,0,32,0,3376
57;C;0,4;42580227/100000000;2,42,0,26,49,2922;2,42,0,26,51,2522
58;C;0,33;11252451/50000000;2,22,0,25,16,3263;2,22,0,30,19,2778
59;C;0,4;42580227/100000000;2,42,0,25,49,2973;2,42,0,26,51,2522
60;C;0,33;11252451/50000000;2,22,0,18,10,3876;2,22,0,30,19,2778
61;C;4,7;39020411/100000000;2,39,26,0,51,1922;2,39,27,0,50,2071
61;C;7,9;30475831/100000000;2,30,27,0,50,271;2,30,27,0,48,663
61;C;9,11;26673799/100000000;4,2667,2627,0,4734,1617359;2,26,27,0,46,239
61;C;11,14;25471983/100000000;2,25,27,0,46,39;2,25,27,0,43,573
61;C;14,18;11853337/50000000;2,23,27,0,43,173;2,23,28,0,37,1078
61;C;18,33;11252451/50000000;2,22,28,0,37,878;2,22,30,0,19,2778
62;C;0,4;42580227/100000000;2,42,0,58,34,2724;2,42,0,59,35,2469
63;C;0,18;11853337/50000000;2,23,0,58,18,588;10,2370667400,0,6295648609,1972074453,1295645866701
64;C;0,4;42580227/100000000;2,42,0,58,34,2724;2,42,0,59,35,2469
65;C;0,18;11853337/50000000;2,23,0,58,15,786;10,2370667400,0,6295648609,1972074453,1295645866701
66;C;4,7;39020411/100000000;2,39,59,0,35,1869;2,39,60,0,34,1888
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67;C;20,21;11535213/50000000;4,2307,0,6189,1968,90231;2,23,0,60,20,200
67;C;21,25;22553967/100000000;2,22,0,60,20,0;2,22,0,52,20,896
67;C;25,33;11252451/50000000;2,22,0,52,20,896;2,22,0,32,19,2654
68;C;0,4;42580227/100000000;2,42,0,58,33,2858;2,42,0,59,34,2607
69;C;0,16;610853/2500000;2,24,0,58,0,1436;2,24,0,63,0,831
69;C;16,24;4523731/20000000;2,22,0,63,0,431;2,22,0,65,0,175
69;C;24,28;11252451/50000000;2,22,0,65,0,175;4,2250,0,6656,0,697664
69;C;28,29;22591403/100000000;4,2259,0,6656,0,877664;4,2259,0,6706,0,209564
69;L;29,30;2272697/10000000,22924081/100000000;4,2272,0,6706,0,469564;4,2292,0,6756,0,196464
69;L;30,31;22924081/100000000,4636547/20000000;4,2292,0,6756,0,196464;4,2318,0,6806,0,38364
69;L;31,32;4636547/20000000,734449/3125000;4,2318,0,6806,0,38364;8,23502368,0,68560000,0,0
69;L;32,33;734449/3125000,23741957/100000000;8,23502368,0,68560000,0,0;10,2374195700,0,6890857249,0,373904151999
70;C;0,4;42580227/100000000;2,42,0,58,33,2858;2,42,0,59,34,2607
71;C;0,16;610853/2500000;2,24,0,58,0,1436;2,24,0,63,0,831
71;C;16,24;4523731/20000000;2,22,0,63,0,431;2,22,0,65,0,175
71;C;24,28;11252451/50000000;2,22,0,65,0,175;4,2250,0,6656,0,697664
71;C;28,29;22591403/100000000;4,2259,0,6656,0,877664;4,2259,0,6706,0,209564
71;L;29,30;2272697/10000000,22924081/100000000;4,2272,0,6706,0,469564;4,2292,0,6756,0,196464
71;L;30,31;22924081/100000000,4636547/20000000;4,2292,0,6756,0,196464;4,2318,0,6806,0,38364
71;L;31,32;4636547/20000000,734449/3125000;4,2318,0,6806,0,38364;8,23502368,0,68560000,0,0
71;L;32,33;734449/3125000,23741957/100000000;8,23502368,0,68560000,0,0;10,2374195700,0,6890857249,0,373904151999
72;C;4,7;39020411/100000000;2,39,59,0,34,2007;2,39,60,0,33,2022
72;C;7,9;30475831/100000000;2,30,60,0,33,222;2,30,60,0,31,478
72;L;9,10;30475831/100000000,13374313/50000000;2,30,60,0,31,478;4,2674,6006,0,2898,611156
72;C;10,11;26673799/100000000;4,2667,6006,0,2898,471156;4,2667,6012,0,2879,618574
72;C;11,12;26444961/100000000;4,2644,6012,0,2879,158574;4,2644,6029,0,2821,615077
72;L;12,13;26444961/100000000,26080457/100000000;4,2644,6029,0,2821,615077;4,2608,6056,0,2726,622712
72;L;13,14;26080457/100000000,25471983/100000000;4,2608,6056,0,2726,622712;4,2547,6106,0,2554,610932
72;L;14,15;25471983/100000000,6230801/25000000;4,2547,6106,0,2554,610932;4,2492,6156,0,2382,595816
72;L;15,16;6230801/25000000,610853/2500000;4,2492,6156,0,2382,595816;4,2443,6206,0,2210,577364
72;L;16,17;610853/2500000,24004731/100000000;4,2443,6206,0,2210,577364;4,2400,6256,0,2039,547422
72;L;17,18;24004731/100000000,11853337/50000000;4,2400,6256,0,2039,547422;4,2370,6296,0,1902,525176
72;L;18,19;11853337/50000000,23365667/100000000;4,2370,6296,0,1902,525176;8,23365667,63060000,0,18662391,124326238
72;L;19,20;23365667/100000000,23301953/100000000;8,23365667,63060000,0,18662391,124326238;10,2330195300,6315958922,0,1832016325,1265475586666
72;L;20,21;23301953/100000000,11535213/50000000;10,2330195300,6315958922,0,1832016325,1265475586666;8,23070426,63560000,0,16944195,111603950
72;L;21,22;11535213/50000000,22836729/100000000;8,23070426,63560000,0,16944195,111603950;8,22836729,64060000,0,15226000,48000000
72;L;22,23;22836729/100000000,177067/781250;8,22836729,64060000,0,15226000,48000000;8,22664576,64560000,0,13507804,62195168
72;L;23,24;177067/781250,4523731/20000000;8,22664576,64560000,0,13507804,62195168;10,2261865500,6473586441,0,1290346427,787557620861
72;L;24,25;4523731/20000000,22553967/100000000;10,2261865500,6473586441,0,1290346427,787557620861;8,22553967,65060000,0,11789608,86412672
72;L;25,26;22553967/100000000,11252451/50000000;8,22553967,65060000,0,11789608,86412672;8,22504902,65560000,0,10071412,120652512
72;L;26,27;11252451/50000000,22517381/100000000;8,22504902,65560000,0,10071412,120652512;8,22517381,66060000,0,8353216,164914688
72;L;27,28;22517381/100000000,22591403/100000000;8,22517381,66060000,0,8353216,164914688;8,22591403,66560000,0,6635020,19199200
72;L;28,29;22591403/100000000,2272697/10000000;8,22591403,66560000,0,6635020,19199200;8,22726970,67060000,0,4916824,83506048
72;L;29,30;2272697/10000000,22924081/100000000;8,22726970,67060000,0,4916824,83506048;8,22924081,67560000,0,3198629,145040718
72;L;30,31;22924081/100000000,4636547/20000000;8,22924081,67560000,0,3198629,145040718;8,23182735,68060000,0,1480433,36265022
72;L;31,32;4636547/20000000,734449/3125000;8,23182735,68060000,0,1480433,36265022;8,23502368,68560000,0,0,0
72;L;32,33;734449/3125000,23741957/100000000;8,23502368,68560000,0,0,0;10,2374195700,6890857249,0,0,373904151999
73;C;0,4;42580227/100000000;2,42,1,58,2,5027;2,42,1,59,3,4900
74;C;0,7;39020411/100000000;2,39,0,58,0,4436;2,39,0,60,0,4200
75;C;0,20;23301953/100000000;2,23,0,58,0,1236;2,23,0,64,0,504
76;C;0,4;42580227/100000000;2,42,0,58,0,5036;2,42,1,59,3,4900
77;C;0,7;39020411/100000000;2,39,0,58,0,4436;2,39,0,60,0,4200
78;C;7,20;23301953/100000000;2,23,0,60,0,1000;2,23,0,64,0,504
79;C;4,20;23301953/100000000;2,23,59,1,3,1100;2,23,64,0,0,504
80;C;0,24;4523731/20000000;2,22,0,51,0,1799;2,22,0,58,0,1036
81;C;7,24;4523731/20000000;2,22,0,60,0,800;2,22,0,58,0,1036
82;C;20,24;4523731/20000000;2,22,0,64,0,304;2,22,0,58,0,1036
83;C;0,4;42580227/100000000;2,42,0,21,31,6037;2,42,0,22,32,5868
84;C;0,24;4523731/20000000;2,22,0,21,12,3671;2,22,0,24,14,3432
85;C;0,4;42580227/100000000;2,42,0,21,31,6037;2,42,0,22,32,5868
86;C;0,24;4523731/20000000;2,22,0,21,9,3797;2,22,0,24,14,3432
87;C;4,24;4523731/20000000;2,22,22,0,32,1868;2,22,24,0,14,3432
88;C;0,4;42580227/100000000;2,42,4,55,2,5351;2,42,4,56,3,5230
89;C;0,24;4523731/20000000;2,22,0,21,0,3959;2,22,0,24,0,3824
90;C;0,4;42580227/100000000;2,42,2,56,0,5260;2,42,4,56,3,5230
91;C;0,24;4523731/20000000;2,22,0,21,0,3959;2,22,0,24,0,3824
92;C;4,24;4523731/20000000;2,22,4,56,3,1230;2,22,0,24,0,3824
93;C;0,4;42580227/100000000;2,42,0,20,31,6078;2,42,0,21,32,5911
94;C;0,24;4523731/20000000;2,22,0,20,12,3712;2,22,0,23,14,3479
95;C;0,4;42580227/100000000;2,42,0,19,31,6117;2,42,0,21,32,5911
96;C;0,24;4523731/20000000;2,22,0,15,9,4013;2,22,0,23,14,3479
97;C;4,24;4523731/20000000;2,22,21,0,32,1911;2,22,23,0,14,3479
98;C;0,4;42580227/100000000;2,42,0,55,14,4983;2,42,0,56,15,4814
99;C;0,4;42580227/100000000;2,42,0,56,14,4872;2,42,0,56,15,4814
100;C;4,24;4523731/20000000;2,22,0,56,15,814;2,22,0,24,14,3432
101;C;0,4;42580227/100000000;2,42,0,58,13,4698;2,42,0,59,13,4581
102;C;0,4;42580227/100000000;2,42,0,58,12,4748;2,42,0,59,13,4581
103;C;0,7;39020411/100000000;2,39,0,58,0,4436;2,39,0,60,0,4200
104;C;4,20;23301953/100000000;2,23,59,0,13,781;2,23,64,0,0,504
MASS SLACK NUMERATOR 108565134389404400244256089878428798293805052995992855143096876015643277712271080371619839628553

BIN 3: PPC; (13/12,9/8]; gamma0=5767/10000; mass ceiling=12055359/12500000.
GAMMA 0=5767/10000;1=5817/10000;2=5867/10000;3=5917/10000;4=12140887500/20490092081;5=558480825000/939243839987;6=40469625000/67933596299;7=5967/10000;8=6017/10000;9=6067/10000;10=6117/10000;11=10791900000/17602230787;12=4946287500/8021850281;13=6167/10000;14=6217/10000;15=6267/10000;16=66774881250/106026433189;17=6317/10000;18=8993250000/14194817081;19=6367/10000;20=6417/10000;21=6467/10000;22=6517/10000;23=4721456250/7227361003;24=6567/10000;25=6617/10000;26=6667/10000;27=6717/10000;28=6767/10000;29=6817/10000;30=6867/10000;31=6917/10000;32=6744937500/9698192081;33=6967/10000;34=7017/10000;35=7067/10000;36=7117/10000;37=7167/10000;38=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,41942592,42583282;1,2,42583282,43237922;2,3,43237922,43975000;3,4,43975000,44097682;4,5,44097682,42005629;5,6,42005629,41061041;6,7,41061041,39613306;7,8,39613306,33138430;8,9,33138430,28863458;9,10,28863458,25419413;10,11,25419413,25239450;11,12,25239450,24853118;12,13,24853118,24842734;13,14,24842734,24345788;14,15,24345788,23911397;15,16,23911397,23673878;16,17,23673878,23539560;17,18,23539560,23417283;18,19,23417283,23230279;19,20,23230279,22983553;20,21,22983553,22799382;21,22,22799382,22677765;22,23,22677765,22652408;23,24,22652408,22618704;24,25,22618704,22622198;25,26,22622198,22688247;26,27,22688247,22816850;27,28,22816850,23008009;28,29,23008009,23261723;29,30,23261723,23577845;30,31,23577845,23922445;31,32,23922445,24184901;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;219615290303/70147350000,5/13,20490092081/10791900000;-996567693404651
1;0,6,7;4/13,1,7;-2
3;0,3,7;105/104,3,1;-2
4;2,3,7;45/52,49/26,11/24;-151
5;2,3,8;89/104,56/39,11/24;-27
8;1,3,6;33/52,75/26,9/8;-33
9;1,4,10;11138910731/3597300000,3/2,20490092081/10791900000;-37227111031127
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;3/2,1/3,11/24;-1
17;2,3,8;89/104,56/39,11/24;-27
19;0,3,13;59/52,2,1;-1
21;0,3,13;51/104,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;89/104,56/39,11/24;-27
26;1,3,12;59/52,44/13,9/8;-59
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;105/104,3,1;-2
31;2,3,7;97/52,49/26,5/8;-33
32;2,3,8;193/104,33/26,5/8;-1
33;1,4,12;16892792081/3597300000,1/2,20490092081/10791900000;-64206861031127
35;1,3,6;33/52,75/26,9/8;-33
36;1,4,10;16892792081/3597300000,1/2,20490092081/10791900000;-91186611031127
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;16892792081/3597300000,1/2,20490092081/10791900000;-64206861031127
44;2,3,8;193/104,33/26,5/8;-1
45;1,4,13;230398197053/46764900000,5/13,20490092081/10791900000;-996567693404651
46;0,3,13;59/52,2,1;-1
48;0,3,13;51/104,1,1;-1
49;1,12,13;3,70/13,267/26;-1
52;2,3,8;193/104,33/26,5/8;-1
53;1,3,12;59/52,44/13,9/8;-59
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;149/52,31/13,7/8;-33
60;0,1,12;1/2,3,1;-1
62;1,3,6;33/52,75/26,9/8;-33
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;7227361003/1348987500,1,20490092081/10791900000;-10247361031127
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;59/52,2,1;-1
74;1,4,6;7227361003/1348987500,1,20490092081/10791900000;-10247361031127
75;0,3,13;51/104,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;59/52,44/13,9/8;-59
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;236373764576716,142410120208909137900000,76820746307352,2680
6;1,4,12,3;25940111750984,157245677512726842900000,51692800574668,8
7;11,4,2,3;51692800574668,360526839975356777100000,76820746307352,184
11;8,4,6,3;236373764576716,12540511842279717121875,6406935051371,206
14;5,4,2,3;6406935051371,3469936661752197853125,76820746307352,2
15;1,4,12,3;25940111750984,157245677512726842900000,51692800574668,8
16;11,4,2,3;51692800574668,360526839975356777100000,76820746307352,184
18;1,4,13,3;25940111750984,39509953503120242100000,236373764576716,8
20;1,4,6,3;25940111750984,69334800521505641521875,6406935051371,10
23;5,4,2,3;6406935051371,3469936661752197853125,76820746307352,2
24;1,4,2,3;25940111750984,776434037400000000000000,76820746307352,128
29;1,4,2,3;25940111750984,582325528050000000000000,92159210150984,32
34;1,4,2,3;25940111750984,582325528050000000000000,92159210150984,32
38;1,4,6,3;25940111750984,263515640147045132175000,24212969681619,14
41;5,4,2,3;24212969681619,2697975000,92159210150984,2
43;1,4,2,3;25940111750984,582325528050000000000000,92159210150984,32
47;1,4,6,3;25940111750984,263515640147045132175000,24212969681619,14
50;5,4,2,3;24212969681619,2697975000,92159210150984,2
51;1,4,2,3;25940111750984,582325528050000000000000,92159210150984,32
56;1,4,7,3;25940111750984,1754241935538538749240000,11709229438199696,16
59;8,4,2,3;11709229438199696,491368553761455720000,44274972765592,64
61;1,4,2,3;25940111750984,145581382012500000000000,44274972765592,16
68;1,4,2,3;25940111750984,145581382012500000000000,44274972765592,16
70;1,4,2,3;25940111750984,145581382012500000000000,44274972765592,16
71;8,4,2,3;11709229438199696,491368553761455720000,44274972765592,64
77;1,4,2,3;25940111750984,145581382012500000000000,44274972765592,16
78;1,4,9,3;25940111750984,1754241935538538749240000,11709229438199696,16
79;8,4,2,3;11709229438199696,491368553761455720000,44274972765592,64
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;2,3
44;29;E;4,1
45;29;E;4,2
46;29;E;4,3
47;34;V;3,1
48;34;V;2,3
49;34;E;4,1
50;34;E;4,2
51;34;E;4,3
52;38;V;6,3
53;38;E;4,6
54;41;V;2,3
55;41;E;4,2
56;41;E;4,3
57;43;V;3,1
58;43;V;2,3
59;43;E;4,1
60;43;E;4,2
61;43;E;4,3
62;47;V;3,1
63;47;V;6,3
64;47;E;4,1
65;47;E;4,6
66;47;E;4,3
67;50;E;4,3
68;51;V;3,1
69;51;V;2,3
70;51;E;4,1
71;51;E;4,2
72;51;E;4,3
73;56;V;3,1
74;56;V;7,3
75;56;E;4,1
76;56;E;4,7
77;56;E;4,3
78;59;V;2,3
79;59;E;4,2
80;59;E;4,3
81;61;V;3,1
82;61;V;2,3
83;61;E;4,1
84;61;E;4,2
85;61;E;4,3
86;68;V;3,1
87;68;V;2,3
88;68;E;4,1
89;68;E;4,2
90;68;E;4,3
91;70;V;3,1
92;70;V;2,3
93;70;E;4,1
94;70;E;4,2
95;70;E;4,3
96;77;V;3,1
97;77;E;4,1
98;77;E;4,3
99;78;V;3,1
100;78;E;4,1
101;78;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:
2:V/3,5/0/0/5;V/2,3/1/0/12;E/4,5/2/0/5;E/4,2/3/0/12;E/4,3/4/5/12
6:V/3,1/5/0/4;V/12,3/6/0/6;E/4,1/7/0/4;E/4,12/8/0/6;E/4,3/9/4/6
7:V/3,11/6/0/6;V/2,3/10/0/12;E/4,11/8/0/6;E/4,2/11/0/12;E/4,3/12/6/12
11:V/3,8/0/0/5;V/6,3/13/0/11;E/4,8/2/0/5;E/4,6/14/0/11;E/4,3/4/5/11
14:V/3,5/13/0/11;V/2,3/15/0/12;E/4,5/14/0/11;E/4,2/16/0/12;E/4,3/17/11/12
15:V/3,1/18/0/4;V/12,3/19/0/6;E/4,1/20/0/4;E/4,12/21/0/6;E/4,3/22/4/6
16:V/3,11/19/0/6;V/2,3/23/0/12;E/4,11/21/0/6;E/4,2/24/0/12;E/4,3/25/6/12
18:V/3,1/26/0/4;V/13,3/0/0/5;E/4,1/27/0/4;E/4,13/2/0/5;E/4,3/28/4/5
20:V/3,1/29/0/4;V/6,3/30/0/11;E/4,1/31/0/4;E/4,6/32/0/11;E/4,3/33/4/11
23:V/3,5/30/0/11;V/2,3/34/0/12;E/4,5/32/0/11;E/4,2/35/0/12;E/4,3/36/11/12
24:V/3,1/37/0/4;V/2,3/38/0/12;E/4,1/39/0/4;E/4,2/40/0/12;E/4,3/41/4/12
29:V/3,1/42/0/4;V/2,3/43/0/32;E/4,1/44/0/4;E/4,2/45/0/32;E/4,3/46/4/32
34:V/3,1/47/0/4;V/2,3/48/0/32;E/4,1/49/0/4;E/4,2/50/0/32;E/4,3/51/4/32
38:V/3,1/42/0/4;V/6,3/52/0/18;E/4,1/44/0/4;E/4,6/53/0/18;E/4,3/46/4/18
40:V/2,3/48/0/32;E/4,2/50/0/32
41:V/3,5/52/0/18;V/2,3/54/0/32;E/4,5/53/0/18;E/4,2/55/0/32;E/4,3/56/18/32
43:V/3,1/57/0/4;V/2,3/58/0/32;E/4,1/59/0/4;E/4,2/60/0/32;E/4,3/61/4/32
47:V/3,1/62/0/4;V/6,3/63/0/18;E/4,1/64/0/4;E/4,6/65/0/18;E/4,3/66/4/18
50:V/3,5/63/0/18;V/2,3/48/0/32;E/4,5/65/0/18;E/4,2/50/0/32;E/4,3/67/18/32
51:V/3,1/68/0/4;V/2,3/69/0/32;E/4,1/70/0/4;E/4,2/71/0/32;E/4,3/72/4/32
56:V/3,1/73/0/4;V/7,3/74/0/16;E/4,1/75/0/4;E/4,7/76/0/16;E/4,3/77/4/16
59:V/3,8/74/0/16;V/2,3/78/0/23;E/4,8/76/0/16;E/4,2/79/0/23;E/4,3/80/16/23
61:V/3,1/81/0/4;V/2,3/82/0/23;E/4,1/83/0/4;E/4,2/84/0/23;E/4,3/85/4/23
67:V/2,3/82/0/23;E/4,2/84/0/23
68:V/3,1/86/0/4;V/2,3/87/0/23;E/4,1/88/0/4;E/4,2/89/0/23;E/4,3/90/4/23
70:V/3,1/91/0/4;V/2,3/92/0/23;E/4,1/93/0/4;E/4,2/94/0/23;E/4,3/95/4/23
71:V/3,8/74/0/16;V/2,3/78/0/23;E/4,8/76/0/16;E/4,2/79/0/23;E/4,3/80/16/23
77:V/3,1/96/0/4;V/2,3/82/0/23;E/4,1/97/0/4;E/4,2/84/0/23;E/4,3/98/4/23
78:V/3,1/99/0/4;V/9,3/74/0/16;E/4,1/100/0/4;E/4,9/76/0/16;E/4,3/101/4/16
79:V/3,8/74/0/16;V/2,3/78/0/23;E/4,8/76/0/16;E/4,2/79/0/23;E/4,3/80/16/23
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,5;655353/1562500;2,41,58,58,20,672;2,41,60,60,20,200
1;C;0,12;12426559/50000000;2,24,0,58,4,1404;2,24,0,62,5,906
2;C;0,5;655353/1562500;2,41,58,58,18,824;2,41,60,60,20,200
3;C;0,12;12426559/50000000;2,24,0,58,0,1436;2,24,0,62,5,906
4;C;5,6;41061041/100000000;2,41,60,60,20,200;2,41,60,57,19,629
4;C;6,7;19806653/50000000;2,39,60,57,19,229;2,39,60,54,19,562
4;L;7,8;19806653/50000000,3313843/10000000;2,39,60,54,19,562;2,33,61,40,15,829
4;C;8,9;14431729/50000000;4,2886,6017,3947,1462,1662014;2,28,61,26,12,915
4;C;9,10;25419413/100000000;2,25,61,26,12,315;2,25,62,12,8,884
4;C;10,12;12426559/50000000;2,24,62,12,8,684;2,24,62,0,5,906
5;L;0,1;655353/1562500,21291641/50000000;4,4194,641,4059,5767,477060;4,4258,647,4094,5817,305577
5;L;1,2;21291641/50000000,21618961/50000000;4,4258,647,4094,5817,305577;4,4323,652,4129,5867,142877
5;L;2,3;21618961/50000000,1759/4000;4,4323,652,4129,5867,142877;4,4397,658,4164,5917,146362
5;L;3,4;1759/4000,22048841/50000000;4,4397,658,4164,5917,146362;4,4409,659,4170,5926,121867
6;C;0,6;41061041/100000000;2,41,2,33,58,379;4,4106,133,3310,5958,150683
7;L;0,1;655353/1562500,21291641/50000000;8,41942592,3594482,41520358,57670000,170703512;8,42583282,4538927,41575914,58170000,116753275
7;L;1,2;21291641/50000000,21618961/50000000;8,42583282,4538927,41575914,58170000,116753275;10,4323792200,548337074,4163146902,5867000000,325644920920
7;L;2,3;21618961/50000000,1759/4000;10,4323792200,548337074,4163146902,5867000000,325644920920;4,4397,643,4169,5917,124212
7;L;3,4;1759/4000,22048841/50000000;4,4397,643,4169,5917,124212;4,4409,659,4170,5926,121867
8;C;0,6;41061041/100000000;2,41,0,33,58,383;4,4106,133,3310,5958,150683
9;L;4,5;22048841/50000000,42005629/100000000;4,4409,659,4170,5926,121867;4,4200,316,3610,5947,134426
9;L;5,6;42005629/100000000,41061041/100000000;4,4200,316,3610,5947,134426;4,4106,133,3310,5958,150683
10;C;0,12;12426559/50000000;2,24,0,33,31,1789;2,24,0,35,34,1263
11;C;0,12;12426559/50000000;2,24,0,33,30,1911;2,24,0,35,34,1263
12;L;6,7;41061041/100000000,19806653/50000000;4,4106,3310,133,5958,150683;4,3961,3315,0,5833,182997
12;L;7,8;19806653/50000000,3313843/10000000;4,3961,3315,0,5833,182997;2,33,34,0,52,36
12;L;8,9;3313843/10000000,14431729/50000000;2,33,34,0,52,36;2,28,34,0,46,212
12;L;9,10;14431729/50000000,25419413/100000000;2,28,34,0,46,212;2,25,34,0,40,644
12;C;10,12;12426559/50000000;2,24,34,0,40,444;2,24,35,0,34,1263
13;C;0,11;504789/2000000;2,25,7,58,7,1489;2,25,8,62,7,994
14;C;0,11;504789/2000000;2,25,4,58,2,1612;2,25,8,62,7,994
15;C;0,12;12426559/50000000;2,24,5,51,4,2142;2,24,5,55,5,1700
16;C;0,12;12426559/50000000;2,24,1,52,0,2095;2,24,5,55,5,1700
17;C;11,12;12426559/50000000;2,24,8,62,7,794;2,24,5,55,5,1700
18;L;0,1;655353/1562500,21291641/50000000;4,4194,619,4081,5767,325700;4,4258,625,4116,5817,152941
18;L;1,2;21291641/50000000,21618961/50000000;4,4258,625,4116,5817,152941;6,432379,62961,415092,586700,58764015
18;L;2,3;21618961/50000000,1759/4000;6,432379,62961,415092,586700,58764015;8,43975000,6349678,41862916,59170000,53273260
18;L;3,4;1759/4000,22048841/50000000;8,43975000,6349678,41862916,59170000,53273260;8,44097682,6358529,41921270,59252479,95252377
19;C;0,6;41061041/100000000;2,41,2,33,58,379;10,4106104100,105227475,3336729271,5957232829,992726246452
20;L;0,1;655353/1562500,21291641/50000000;4,4194,408,4105,5767,345933;4,4258,480,4132,5817,181198
20;L;1,2;21291641/50000000,21618961/50000000;4,4258,480,4132,5817,181198;4,4323,552,4160,5867,6318
20;L;2,3;21618961/50000000,1759/4000;4,4323,552,4160,5867,6318;6,439750,62394,418755,591700,33458739
20;L;3,4;1759/4000,22048841/50000000;6,439750,62394,418755,591700,33458739;8,44097682,6358529,41921270,59252479,95252377
21;C;0,6;41061041/100000000;2,41,0,32,58,448;10,4106104100,105227475,3336729271,5957232829,992726246452
22;L;4,5;22048841/50000000,42005629/100000000;8,44097682,6358529,41921270,59252479,95252377;8,42005629,2904414,36353044,59460686,12069476
22;L;5,6;42005629/100000000,41061041/100000000;8,42005629,2904414,36353044,59460686,12069476;10,4106104100,105227475,3336729271,5957232829,992726246452
23;C;0,12;12426559/50000000;2,24,0,33,31,1789;2,24,0,35,34,1263
24;C;0,12;12426559/50000000;2,24,0,31,30,2039;2,24,0,35,34,1263
25;L;6,7;41061041/100000000,19806653/50000000;10,4106104100,3336729271,105227475,5957232829,992726246452;10,3961330600,3343574649,0,5832971807,364050836301
25;L;7,8;19806653/50000000,3313843/10000000;10,3961330600,3343574649,0,5832971807,364050836301;2,33,34,0,52,36
25;L;8,9;3313843/10000000,14431729/50000000;2,33,34,0,52,36;2,28,35,0,46,143
25;L;9,10;14431729/50000000,25419413/100000000;2,28,35,0,46,143;2,25,35,0,40,575
25;C;10,12;12426559/50000000;2,24,35,0,40,375;2,24,35,0,34,1263
26;C;0,4;655353/1562500;2,41,58,58,24,320;4,4194,5926,5926,2414,1990256
27;C;0,4;655353/1562500;2,41,58,58,23,414;4,4194,5926,5926,2414,1990256
28;C;4,5;42005629/100000000;4,4200,5926,5926,2414,2110256;2,42,60,60,20,400
29;C;0,1;655353/1562500;4,4194,641,5767,4913,1935692;4,4194,647,5817,4956,500030
29;C;1,2;21291641/50000000;4,4258,647,5817,4956,1780030;4,4258,652,5867,4998,353199
29;C;2,3;21618961/50000000;2,43,7,59,50,70;4,4323,658,5917,5041,192785
29;C;3,4;1759/4000;4,4397,658,5917,5041,1672785;4,4397,659,5926,5048,1423635
30;C;0,11;504789/2000000;2,25,0,58,23,578;2,25,0,62,24,4
31;C;0,1;655353/1562500;4,4194,360,5767,4960,1288911;4,4194,454,5817,4988,76107
31;C;1,2;21291641/50000000;4,4258,454,5817,4988,1356107;4,4258,549,5867,5016,116398
31;C;2,3;21618961/50000000;4,4323,549,5867,5016,1416398;4,4323,643,5917,5043,171964
31;C;3,4;1759/4000;4,4397,643,5917,5043,1651964;4,4397,659,5926,5048,1423635
32;C;0,11;504789/2000000;2,25,0,58,21,754;2,25,0,62,24,4
33;L;4,5;22048841/50000000,42005629/100000000;4,4409,5926,659,5048,1663635;2,42,60,4,48,176
33;C;5,6;41061041/100000000;4,4106,5947,316,4778,994767;2,41,60,2,47,178
33;C;6,7;19806653/50000000;4,3961,5958,133,4634,756635;4,3961,5967,0,4507,2988813
33;L;7,8;19806653/50000000,3313843/10000000;4,3961,5967,0,4507,2988813;4,3313,6017,0,3860,256511
33;L;8,9;3313843/10000000,14431729/50000000;4,3313,6017,0,3860,256511;4,2886,6067,0,3213,264773
33;L;9,10;14431729/50000000,25419413/100000000;4,2886,6067,0,3213,264773;4,2541,6117,0,2566,233599
33;L;10,11;25419413/100000000,504789/2000000;4,2541,6117,0,2566,233599;2,25,62,0,24,4
34;C;0,12;12426559/50000000;2,24,0,51,22,1231;2,24,0,55,24,623
35;C;0,12;12426559/50000000;2,24,0,52,20,1296;2,24,0,55,24,623
36;C;11,12;12426559/50000000;4,2485,0,6131,2385,734389;2,24,0,55,24,623
37;C;0,1;655353/1562500;4,4194,619,5767,4924,1746998;4,4194,625,5817,4967,309708
37;C;1,2;21291641/50000000;4,4258,625,5817,4967,1589708;4,4258,630,5867,5009,161249
37;C;2,3;21618961/50000000;4,4323,630,5867,5009,1461249;4,4323,635,5917,5052,478
37;C;3,4;1759/4000;4,4397,635,5917,5052,1480478;4,4397,636,5926,5059,1231066
38;C;0,12;12426559/50000000;2,24,0,58,19,714;2,24,0,62,20,156
39;C;0,1;655353/1562500;4,4194,408,5767,4936,1727055;4,4194,480,5817,4975,310861
39;C;1,2;21291641/50000000;4,4258,480,5817,4975,1590861;4,4258,552,5867,5014,153215
39;C;2,3;21618961/50000000;4,4323,552,5867,5014,1453215;6,432379,62394,591700,505228,245434796
39;C;3,4;1759/4000;4,4397,624,5917,5053,1474117;4,4397,636,5926,5059,1231066
40;C;0,12;12426559/50000000;2,24,0,58,17,858;2,24,0,62,20,156
41;L;4,5;22048841/50000000,42005629/100000000;4,4409,5926,636,5059,1471066;2,42,60,3,48,183
41;C;5,6;41061041/100000000;4,4106,5947,291,4791,761148;2,41,60,2,47,178
41;C;6,7;19806653/50000000;4,3961,5958,106,4647,521782;4,3961,5967,0,4522,2717943
41;L;7,8;19806653/50000000,3313843/10000000;4,3961,5967,0,4522,2717943;8,33138430,60170000,0,38776649,84661598
41;L;8,9;3313843/10000000,14431729/50000000;8,33138430,60170000,0,38776649,84661598;8,28863458,60670000,0,32340706,170843128
41;L;9,10;14431729/50000000,25419413/100000000;8,28863458,60670000,0,32340706,170843128;8,25419413,61170000,0,25904764,104208608
41;L;10,11;25419413/100000000,504789/2000000;8,25419413,61170000,0,25904764,104208608;4,2523,6131,0,2411,1244997
41;C;11,12;12426559/50000000;4,2485,6131,0,2411,484997;2,24,62,0,20,156
42;C;0,4;655353/1562500;2,41,36,58,9,3378;2,41,37,60,10,3031
43;C;0,16;11836939/50000000;2,23,0,58,0,1236;2,23,0,63,0,631
43;C;16,24;1413669/6250000;2,22,0,63,0,431;2,22,0,66,0,44
43;C;24,26;1413669/6250000;2,22,0,66,0,44;4,2261,0,6667,0,771111
43;C;26,27;22688247/100000000;4,2268,0,6667,0,911111;4,2268,0,6717,0,241911
43;L;27,28;456337/2000000,23008009/100000000;4,2281,0,6717,0,501911;4,2300,0,6767,0,207711
43;L;28,29;23008009/100000000,23261723/100000000;4,2300,0,6767,0,207711;4,2326,0,6817,0,48511
43;L;29,30;23261723/100000000,4715569/20000000;4,2326,0,6817,0,48511;8,23577845,0,68670000,0,100000000
43;L;30,31;4715569/20000000,4784489/20000000;8,23577845,0,68670000,0,100000000;8,23922445,0,69170000,0,100000000
43;L;31,32;4784489/20000000,24184901/100000000;8,23922445,0,69170000,0,100000000;8,24184901,0,69548401,0,118343199
44;C;0,4;655353/1562500;2,41,58,36,8,3412;2,41,60,37,10,3031
45;C;0,16;11836939/50000000;2,23,0,58,0,1236;2,23,0,63,0,631
45;C;16,24;1413669/6250000;2,22,0,63,0,431;2,22,0,66,0,44
45;C;24,26;1413669/6250000;2,22,0,66,0,44;4,2261,0,6667,0,771111
45;C;26,27;22688247/100000000;4,2268,0,6667,0,911111;4,2268,0,6717,0,241911
45;L;27,28;456337/2000000,23008009/100000000;4,2281,0,6717,0,501911;4,2300,0,6767,0,207711
45;L;28,29;23008009/100000000,23261723/100000000;4,2300,0,6767,0,207711;4,2326,0,6817,0,48511
45;L;29,30;23261723/100000000,4715569/20000000;4,2326,0,6817,0,48511;8,23577845,0,68670000,0,100000000
45;L;30,31;4715569/20000000,4784489/20000000;8,23577845,0,68670000,0,100000000;8,23922445,0,69170000,0,100000000
45;L;31,32;4784489/20000000,24184901/100000000;8,23922445,0,69170000,0,100000000;8,24184901,0,69548401,0,118343199
46;C;4,11;504789/2000000;4,2523,5926,3651,918,327275;2,25,62,21,7,617
46;C;11,18;23417283/100000000;2,23,62,21,7,217;2,23,64,5,5,429
46;C;18,25;1413669/6250000;2,22,64,5,5,229;4,2261,6617,0,47,1430893
46;C;25,26;11311099/50000000;4,2262,6617,0,47,1450893;4,2262,6667,0,0,791111
46;C;26,27;22688247/100000000;4,2268,6667,0,0,911111;4,2268,6717,0,0,241911
46;L;27,28;456337/2000000,23008009/100000000;4,2281,6717,0,0,501911;4,2300,6767,0,0,207711
46;L;28,29;23008009/100000000,23261723/100000000;4,2300,6767,0,0,207711;4,2326,6817,0,0,48511
46;L;29,30;23261723/100000000,4715569/20000000;4,2326,6817,0,0,48511;8,23577845,68670000,0,0,100000000
46;L;30,31;4715569/20000000,4784489/20000000;8,23577845,68670000,0,0,100000000;8,23922445,69170000,0,0,100000000
46;L;31,32;4784489/20000000,24184901/100000000;8,23922445,69170000,0,0,100000000;8,24184901,69548401,0,0,118343199
47;C;0,4;655353/1562500;2,41,0,25,49,2773;2,41,0,25,50,2575
48;C;0,32;1413669/6250000;2,22,0,25,14,3383;2,22,0,29,17,2981
49;C;0,4;655353/1562500;2,41,0,25,49,2773;2,41,0,25,50,2575
50;C;0,32;1413669/6250000;2,22,0,25,9,3613;2,22,0,29,17,2981
51;C;4,7;19806653/50000000;2,39,25,0,50,2175;2,39,25,0,49,2373
51;C;7,9;14431729/50000000;2,28,25,0,49,173;2,28,26,0,46,692
51;C;9,11;504789/2000000;2,25,26,0,46,92;2,25,26,0,44,452
51;C;11,18;23417283/100000000;2,23,26,0,44,52;2,23,27,0,37,1133
51;C;18,32;1413669/6250000;2,22,27,0,37,933;2,22,29,0,17,2981
52;C;0,18;23417283/100000000;2,23,5,58,4,1179;2,23,5,64,5,429
53;C;0,18;23417283/100000000;2,23,0,58,0,1236;2,23,5,64,5,429
54;C;0,32;1413669/6250000;2,22,0,25,0,3775;2,22,0,29,0,3559
55;C;0,32;1413669/6250000;2,22,0,25,0,3775;2,22,0,29,0,3559
56;C;18,32;1413669/6250000;2,22,5,64,5,229;2,22,0,29,0,3559
57;C;0,4;655353/1562500;2,41,0,25,49,2773;2,41,0,25,50,2575
58;C;0,32;1413669/6250000;2,22,0,25,14,3383;2,22,0,30,17,2922
59;C;0,4;655353/1562500;2,41,0,24,49,2822;2,41,0,25,50,2575
60;C;0,32;1413669/6250000;2,22,0,18,9,3914;2,22,0,30,17,2922
61;C;4,7;19806653/50000000;2,39,25,0,50,2175;2,39,26,0,49,2322
61;C;7,9;14431729/50000000;2,28,26,0,49,122;2,28,26,0,46,692
61;C;9,11;504789/2000000;2,25,26,0,46,92;2,25,26,0,44,452
61;C;11,18;23417283/100000000;2,23,26,0,44,52;2,23,27,0,37,1133
61;C;18,32;1413669/6250000;2,22,27,0,37,933;2,22,30,0,17,2922
62;C;0,4;655353/1562500;2,41,0,58,32,2788;2,41,0,60,33,2422
63;C;0,18;23417283/100000000;2,23,0,58,17,658;4,2341,0,6336,1809,130142
64;C;0,4;655353/1562500;2,41,0,58,32,2788;2,41,0,60,33,2422
65;C;0,18;23417283/100000000;2,23,0,58,14,844;4,2341,0,6336,1809,130142
66;C;4,7;19806653/50000000;2,39,60,0,33,2022;2,39,60,0,31,2278
66;C;7,9;14431729/50000000;2,28,60,0,31,78;2,28,61,0,28,311
66;L;9,10;14431729/50000000,25419413/100000000;2,28,61,0,28,311;4,2541,6117,0,2570,192511
66;L;10,11;25419413/100000000,504789/2000000;4,2541,6117,0,2570,192511;4,2523,6131,0,2521,159957
66;L;11,12;504789/2000000,12426559/50000000;4,2523,6131,0,2521,159957;4,2485,6167,0,2399,157709
66;C;12,13;12421367/50000000;4,2484,6167,0,2399,137709;4,2484,6167,0,2396,166479
66;L;13,14;12421367/50000000,6086447/25000000;4,2484,6167,0,2396,166479;4,2434,6217,0,2222,154343
66;L;14,15;6086447/25000000,23911397/100000000;4,2434,6217,0,2222,154343;4,2391,6267,0,2048,156103
66;L;15,16;23911397/100000000,11836939/50000000;4,2391,6267,0,2048,156103;4,2367,6298,0,1940,147996
66;L;16,17;11836939/50000000,588489/2500000;4,2367,6298,0,1940,147996;4,2353,6317,0,1873,139253
66;L;17,18;588489/2500000,23417283/100000000;4,2353,6317,0,1873,139253;4,2341,6336,0,1809,130142
67;L;18,19;23417283/100000000,23230279/100000000;4,2341,0,6336,1809,130142;2,23,0,62,19,34
67;C;19,21;11399691/50000000;4,2279,0,6162,1802,1115348;2,22,0,57,18,503
67;C;21,25;1413669/6250000;2,22,0,57,18,503;2,22,0,48,18,1448
67;C;25,32;11311099/50000000;2,22,0,48,18,1448;2,22,0,29,17,2981
68;C;0,4;655353/1562500;2,41,0,58,32,2788;2,41,0,60,33,2422
69;C;0,16;11836939/50000000;2,23,0,58,0,1236;2,23,0,63,0,631
69;C;16,24;1413669/6250000;2,22,0,63,0,431;2,22,0,66,0,44
69;C;24,26;1413669/6250000;2,22,0,66,0,44;4,2261,0,6667,0,771111
69;C;26,27;22688247/100000000;4,2268,0,6667,0,911111;4,2268,0,6717,0,241911
69;L;27,28;456337/2000000,23008009/100000000;4,2281,0,6717,0,501911;4,2300,0,6767,0,207711
69;L;28,29;23008009/100000000,23261723/100000000;4,2300,0,6767,0,207711;4,2326,0,6817,0,48511
69;L;29,30;23261723/100000000,4715569/20000000;4,2326,0,6817,0,48511;8,23577845,0,68670000,0,100000000
69;L;30,31;4715569/20000000,4784489/20000000;8,23577845,0,68670000,0,100000000;8,23922445,0,69170000,0,100000000
69;L;31,32;4784489/20000000,24184901/100000000;8,23922445,0,69170000,0,100000000;8,24184901,0,69548401,0,118343199
70;C;0,4;655353/1562500;2,41,0,58,32,2788;2,41,0,60,33,2422
71;C;0,16;11836939/50000000;2,23,0,58,0,1236;2,23,0,63,0,631
71;C;16,24;1413669/6250000;2,22,0,63,0,431;2,22,0,66,0,44
71;C;24,26;1413669/6250000;2,22,0,66,0,44;4,2261,0,6667,0,771111
71;C;26,27;22688247/100000000;4,2268,0,6667,0,911111;4,2268,0,6717,0,241911
71;L;27,28;456337/2000000,23008009/100000000;4,2281,0,6717,0,501911;4,2300,0,6767,0,207711
71;L;28,29;23008009/100000000,23261723/100000000;4,2300,0,6767,0,207711;4,2326,0,6817,0,48511
71;L;29,30;23261723/100000000,4715569/20000000;4,2326,0,6817,0,48511;8,23577845,0,68670000,0,100000000
71;L;30,31;4715569/20000000,4784489/20000000;8,23577845,0,68670000,0,100000000;8,23922445,0,69170000,0,100000000
71;L;31,32;4784489/20000000,24184901/100000000;8,23922445,0,69170000,0,100000000;8,24184901,0,69548401,0,118343199
72;C;4,7;19806653/50000000;2,39,60,0,33,2022;2,39,60,0,32,2152
72;C;7,9;14431729/50000000;4,2886,5967,0,3108,2795583;2,28,61,0,28,311
72;L;9,10;14431729/50000000,25419413/100000000;2,28,61,0,28,311;4,2541,6117,0,2588,6823
72;L;10,11;25419413/100000000,504789/2000000;4,2541,6117,0,2588,6823;8,25239450,61309843,0,25386937,10831413
72;L;11,12;504789/2000000,12426559/50000000;8,25239450,61309843,0,25386937,10831413;10,2485311800,6166018222,0,2417276838,662901402228
72;L;12,13;12426559/50000000,12421367/50000000;10,2485311800,6166018222,0,2417276838,662901402228;8,24842734,61670000,0,24138743,72759902
72;L;13,14;12421367/50000000,6086447/25000000;8,24842734,61670000,0,24138743,72759902;8,24345788,62170000,0,22405899,80003598
72;L;14,15;6086447/25000000,23911397/100000000;8,24345788,62170000,0,22405899,80003598;8,23911397,62670000,0,20673054,176626168
72;L;15,16;23911397/100000000,11836939/50000000;8,23911397,62670000,0,20673054,176626168;10,2367387800,6297946582,0,1960054172,135925306108
72;L;16,17;11836939/50000000,588489/2500000;10,2367387800,6297946582,0,1960054172,135925306108;10,2353956000,6317000000,0,1894020951,274346111198
72;L;17,18;588489/2500000,23417283/100000000;10,2353956000,6317000000,0,1894020951,274346111198;10,2341728300,6335587102,0,1829603840,1650285750396
72;L;18,19;23417283/100000000,23230279/100000000;10,2341728300,6335587102,0,1829603840,1650285750396;8,23230279,63670000,0,17207366,10684088
72;L;19,20;23230279/100000000,22983553/100000000;8,23230279,63670000,0,17207366,10684088;8,22983553,64170000,0,15474521,99641118
72;L;20,21;22983553/100000000,11399691/50000000;8,22983553,64170000,0,15474521,99641118;8,22799382,64670000,0,13741677,126455342
72;L;21,22;11399691/50000000,4535553/20000000;8,22799382,64670000,0,13741677,126455342;8,22677765,65170000,0,12008832,7991552
72;L;22,23;4535553/20000000,2831551/12500000;8,22677765,65170000,0,12008832,7991552;10,2265240800,6532752755,0,1146289008,462316661847
72;L;23,24;2831551/12500000,1413669/6250000;10,2265240800,6532752755,0,1146289008,462316661847;8,22618704,65670000,0,10275988,41247712
72;L;24,25;1413669/6250000,11311099/50000000;8,22618704,65670000,0,10275988,41247712;8,22622198,66170000,0,8543143,115363102
72;L;25,26;11311099/50000000,22688247/100000000;8,22622198,66170000,0,8543143,115363102;8,22688247,66670000,0,6810299,155061198
72;L;26,27;22688247/100000000,456337/2000000;8,22688247,66670000,0,6810299,155061198;8,22816850,67170000,0,5077454,21755768
72;L;27,28;456337/2000000,23008009/100000000;8,22816850,67170000,0,5077454,21755768;8,23008009,67670000,0,3344610,67895800
72;L;28,29;23008009/100000000,23261723/100000000;8,23008009,67670000,0,3344610,67895800;8,23261723,68170000,0,1611765,127169550
72;L;29,30;23261723/100000000,4715569/20000000;8,23261723,68170000,0,1611765,127169550;8,23577845,68670000,0,0,100000000
72;L;30,31;4715569/20000000,4784489/20000000;8,23577845,68670000,0,0,100000000;8,23922445,69170000,0,0,100000000
72;L;31,32;4784489/20000000,24184901/100000000;8,23922445,69170000,0,0,100000000;8,24184901,69548401,0,0,118343199
73;C;0,4;655353/1562500;2,41,0,58,2,4828;2,41,0,60,3,4582
74;C;0,16;11836939/50000000;2,23,0,58,0,1236;2,23,0,63,0,631
75;C;0,4;655353/1562500;2,41,0,58,0,4836;2,41,0,60,3,4582
76;C;0,16;11836939/50000000;2,23,0,58,0,1236;2,23,0,63,0,631
77;C;4,16;11836939/50000000;2,23,60,0,3,982;2,23,63,0,0,631
78;C;0,23;2831551/12500000;2,22,0,48,0,2096;2,22,0,54,0,1484
79;C;0,23;2831551/12500000;2,22,0,57,0,1151;2,22,0,54,0,1484
80;C;16,23;2831551/12500000;2,22,0,63,0,431;2,22,0,54,0,1484
81;C;0,4;655353/1562500;2,41,0,20,30,6000;2,41,0,20,31,5878
82;C;0,23;2831551/12500000;2,22,0,20,11,3758;2,22,0,22,13,3578
83;C;0,4;655353/1562500;2,41,0,20,30,6000;2,41,0,20,31,5878
84;C;0,23;2831551/12500000;2,22,0,20,8,3872;2,22,0,22,13,3578
85;C;4,23;2831551/12500000;2,22,20,0,31,2078;2,22,22,0,13,3578
86;C;0,4;655353/1562500;2,41,3,54,2,5267;2,41,3,55,3,5148
87;C;0,23;2831551/12500000;2,22,0,20,0,4000;2,22,0,22,0,3916
88;C;0,4;655353/1562500;2,41,1,55,0,5174;2,41,3,55,3,5148
89;C;0,23;2831551/12500000;2,22,0,20,0,4000;2,22,0,22,0,3916
90;C;4,23;2831551/12500000;2,22,3,55,3,1348;2,22,0,22,0,3916
91;C;0,4;655353/1562500;2,41,0,20,30,6000;2,41,0,21,31,5837
92;C;0,23;2831551/12500000;2,22,0,20,11,3758;2,22,0,23,13,3533
93;C;0,4;655353/1562500;2,41,0,19,30,6039;2,41,0,21,31,5837
94;C;0,23;2831551/12500000;2,22,0,15,8,4047;2,22,0,23,13,3533
95;C;4,23;2831551/12500000;2,22,21,0,31,2037;2,22,23,0,13,3533
96;C;0,4;655353/1562500;2,41,0,54,13,4946;2,41,0,55,14,4783
97;C;0,4;655353/1562500;2,41,0,55,13,4837;2,41,0,55,14,4783
98;C;4,23;2831551/12500000;2,22,0,55,14,983;2,22,0,22,13,3578
99;C;0,4;655353/1562500;2,41,0,58,11,4594;2,41,0,60,12,4312
100;C;0,4;655353/1562500;2,41,0,58,11,4594;2,41,0,60,12,4312
101;C;4,16;11836939/50000000;2,23,60,0,12,712;2,23,63,0,0,631
MASS SLACK NUMERATOR 143915486036186925364666492963709349774553132045301810822590583443533736333363894983379663985013923

BIN 4: PPC; (9/8,7/6]; gamma0=233/400; mass ceiling=98863041/100000000.
GAMMA 0=233/400;1=47/80;2=237/400;3=239/400;4=12590550000/21052592081;5=37097156250/61797170807;6=10791900000/17935531631;7=241/400;8=243/400;9=49/80;10=247/400;11=249/400;12=5995500000/9623370431;13=251/400;14=143292450000/228083123153;15=5395950000/8584350281;16=253/400;17=9592800000/15057092081;18=51/80;19=257/400;20=259/400;21=261/400;22=263/400;23=4946287500/7508611003;24=53/80;25=89033175000/133388997053;26=267/400;27=269/400;28=271/400;29=273/400;30=11/16;31=277/400;32=96527550000/139384497053;33=279/400;34=7194600000/10260692081;35=281/400;36=283/400;37=57/80;38=287/400;39=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,41530949,42221216;1,2,42221216,42922732;2,3,42922732,43635499;3,4,43635499,43714914;4,5,43714914,42072837;5,6,42072837,41206577;6,7,41206577,40219044;7,8,40219044,34340971;8,9,34340971,30606705;9,10,30606705,27537063;10,11,27537063,25035107;11,12,25035107,24809838;12,13,24809838,24071297;13,14,24071297,24009282;14,15,24009282,23982060;15,16,23982060,23683183;16,17,23683183,23382866;17,18,23382866,23358994;18,19,23358994,23098728;19,20,23098728,22902385;20,21,22902385,22769967;21,22,22769967,22701472;22,23,22701472,22694341;23,24,22694341,22696900;24,25,22696900,22755709;25,26,22755709,22756253;26,27,22756253,22879529;27,28,22879529,23066729;28,29,23066729,23317852;29,30,23317852,23632813;30,31,23632813,23977813;31,32,23977813,23979694;32,33,23979694,22665638;33,34,22665638,21716852;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0;38,39,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;226927790303/70147350000,5/13,21052592081/10791900000;-42184501413349
1;0,6,7;4/13,1,7;-2
3;0,3,7;23/26,3,1;-2
4;2,3,7;29/26,49/26,1/2;-23
5;2,3,8;83/78,56/39,1/2;-17
8;1,3,6;43/78,75/26,7/6;-43
9;1,4,10;11701410731/3597300000,3/2,21052592081/10791900000;-1667683954873
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;5/3,1/3,1/2;-1
17;2,3,8;83/78,56/39,1/2;-17
19;0,3,13;41/39,2,1;-1
21;0,3,13;35/78,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;83/78,56/39,1/2;-17
26;1,3,12;41/39,44/13,7/6;-41
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;23/26,3,1;-2
31;2,3,7;55/26,49/26,2/3;-43
33;1,4,12;17455292081/3597300000,1/2,21052592081/10791900000;-2746873954873
35;1,3,6;43/78,75/26,7/6;-43
36;1,4,10;17455292081/3597300000,1/2,21052592081/10791900000;-3826063954873
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;17455292081/3597300000,1/2,21052592081/10791900000;-2746873954873
45;1,4,13;237710697053/46764900000,5/13,21052592081/10791900000;-42184501413349
46;0,3,13;41/39,2,1;-1
48;0,3,13;35/78,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;41/39,44/13,7/6;-41
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;81/26,31/13,11/12;-43
60;0,1,12;1/2,3,1;-1
62;1,3,6;43/78,75/26,7/6;-43
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;7508611003/1348987500,1,21052592081/10791900000;-588493954873
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;41/39,2,1;-1
74;1,4,6;7508611003/1348987500,1,21052592081/10791900000;-588493954873
75;0,3,13;35/78,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;41/39,44/13,7/6;-41
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;91545314009552,217766429796233297700000,316452769054,58
6;1,4,12,3;785796270762,5647351070135357100000,137781129977,1
7;11,4,2,3;137781129977,14959492974941022900000,316452769054,1
11;8,4,6,3;91545314009552,18718532644692072740625,1403592206193,47
14;5,4,2,3;1403592206193,189274282963220896875,316452769054,1
15;1,4,12,3;785796270762,5647351070135357100000,137781129977,1
16;11,4,2,3;137781129977,14959492974941022900000,316452769054,1
18;1,4,13,3;785796270762,50122542789759642300000,91545314009552,34
20;1,4,6,3;785796270762,2713159893012689728125,1403592206193,33
23;5,4,2,3;1403592206193,189274282963220896875,316452769054,1
24;1,4,2,3;785796270762,31057361496000000000000,316452769054,8
29;1,4,2,7,3;785796270762,23293021122000000000000,18134534746604,130,96
32;8,2,3;130,5,15
34;1,4,2,3;785796270762,23293021122000000000000,1461296235381,9
38;1,4,6,3;785796270762,10058768583101517825000,2959357906143,15
41;5,4,2,3;2959357906143,2697975000,1461296235381,3
43;1,4,2,3;785796270762,23293021122000000000000,1461296235381,9
44;8,2,3;130,5,15
47;1,4,6,3;785796270762,10058768583101517825000,2959357906143,15
50;5,4,2,3;2959357906143,2697975000,1461296235381,3
51;1,4,2,9,3;785796270762,23293021122000000000000,18134534746604,130,96
52;8,2,3;130,5,15
56;1,4,7,3;785796270762,60147051347711570760000,976625279452134,204
59;8,4,2,3;976625279452134,6171154745396838120000,2748103635612,294
61;1,4,2,3;785796270762,5823255280500000000000,2748103635612,18
68;1,4,2,3;785796270762,5823255280500000000000,2748103635612,18
70;1,4,2,3;785796270762,5823255280500000000000,2748103635612,18
71;8,4,2,3;976625279452134,6171154745396838120000,2748103635612,294
77;1,4,2,3;785796270762,5823255280500000000000,2748103635612,18
78;1,4,9,3;785796270762,60147051347711570760000,976625279452134,204
79;8,4,2,3;976625279452134,6171154745396838120000,2748103635612,294
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;2,7
44;29;V;7,3
45;29;E;4,1
46;29;E;4,2
47;29;E;4,7
48;29;E;4,3
49;32;V;2,3
50;32;E;4,2
51;32;E;4,3
52;34;V;3,1
53;34;V;2,3
54;34;E;4,1
55;34;E;4,2
56;34;E;4,3
57;38;V;6,3
58;38;E;4,6
59;41;V;2,3
60;41;E;4,2
61;41;E;4,3
62;43;V;3,1
63;43;V;2,3
64;43;E;4,1
65;43;E;4,2
66;43;E;4,3
67;47;V;3,1
68;47;V;6,3
69;47;E;4,1
70;47;E;4,6
71;47;E;4,3
72;50;E;4,3
73;51;V;3,1
74;51;E;4,1
75;51;E;4,2
76;51;E;4,3
77;56;V;3,1
78;56;V;7,3
79;56;E;4,1
80;56;E;4,7
81;56;E;4,3
82;59;V;2,3
83;59;E;4,2
84;59;E;4,3
85;61;V;3,1
86;61;V;2,3
87;61;E;4,1
88;61;E;4,2
89;61;E;4,3
90;68;V;3,1
91;68;V;2,3
92;68;E;4,1
93;68;E;4,2
94;68;E;4,3
95;70;V;3,1
96;70;V;2,3
97;70;E;4,1
98;70;E;4,2
99;70;E;4,3
100;77;V;3,1
101;77;E;4,1
102;77;E;4,3
103;78;V;3,1
104;78;E;4,1
105;78;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:
2:V/3,5/0/0/5;V/2,3/1/0/15;E/4,5/2/0/5;E/4,2/3/0/15;E/4,3/4/5/15
6:V/3,1/5/0/4;V/12,3/6/0/6;E/4,1/7/0/4;E/4,12/8/0/6;E/4,3/9/4/6
7:V/3,11/6/0/6;V/2,3/10/0/15;E/4,11/8/0/6;E/4,2/11/0/15;E/4,3/12/6/15
11:V/3,8/0/0/5;V/6,3/13/0/12;E/4,8/2/0/5;E/4,6/14/0/12;E/4,3/4/5/12
14:V/3,5/13/0/12;V/2,3/15/0/15;E/4,5/14/0/12;E/4,2/16/0/15;E/4,3/17/12/15
15:V/3,1/18/0/4;V/12,3/19/0/6;E/4,1/20/0/4;E/4,12/21/0/6;E/4,3/22/4/6
16:V/3,11/19/0/6;V/2,3/23/0/15;E/4,11/21/0/6;E/4,2/24/0/15;E/4,3/25/6/15
18:V/3,1/26/0/4;V/13,3/0/0/5;E/4,1/27/0/4;E/4,13/2/0/5;E/4,3/28/4/5
20:V/3,1/29/0/4;V/6,3/30/0/12;E/4,1/31/0/4;E/4,6/32/0/12;E/4,3/33/4/12
23:V/3,5/30/0/12;V/2,3/34/0/15;E/4,5/32/0/12;E/4,2/35/0/15;E/4,3/36/12/15
24:V/3,1/37/0/4;V/2,3/38/0/15;E/4,1/39/0/4;E/4,2/40/0/15;E/4,3/41/4/15
29:V/3,1/42/0/4;V/2,7/43/0/25;V/7,3/44/0/32;E/4,1/45/0/4;E/4,2/46/0/25;E/4,7/47/25/32;E/4,3/48/4/32
32:V/3,8/44/0/32;V/8,2/43/0/25;V/2,3/49/0/34;E/4,8/47/25/32;E/4,2/50/25/34;E/4,3/51/32/34
34:V/3,1/52/0/4;V/2,3/53/0/34;E/4,1/54/0/4;E/4,2/55/0/34;E/4,3/56/4/34
38:V/3,1/42/0/4;V/6,3/57/0/17;E/4,1/45/0/4;E/4,6/58/0/17;E/4,3/48/4/17
40:V/2,3/53/0/34;E/4,2/55/0/34
41:V/3,5/57/0/17;V/2,3/59/0/34;E/4,5/58/0/17;E/4,2/60/0/34;E/4,3/61/17/34
43:V/3,1/62/0/4;V/2,3/63/0/34;E/4,1/64/0/4;E/4,2/65/0/34;E/4,3/66/4/34
44:V/3,8/44/0/32;V/8,2/43/0/25;V/2,3/49/0/34;E/4,8/47/25/32;E/4,2/50/25/34;E/4,3/51/32/34
47:V/3,1/67/0/4;V/6,3/68/0/17;E/4,1/69/0/4;E/4,6/70/0/17;E/4,3/71/4/17
50:V/3,5/68/0/17;V/2,3/53/0/34;E/4,5/70/0/17;E/4,2/55/0/34;E/4,3/72/17/34
51:V/3,1/73/0/4;V/2,9/43/0/25;V/9,3/44/0/32;E/4,1/74/0/4;E/4,2/75/0/25;E/4,9/47/25/32;E/4,3/76/4/32
52:V/3,8/44/0/32;V/8,2/43/0/25;V/2,3/49/0/34;E/4,8/47/25/32;E/4,2/50/25/34;E/4,3/51/32/34
56:V/3,1/77/0/4;V/7,3/78/0/14;E/4,1/79/0/4;E/4,7/80/0/14;E/4,3/81/4/14
59:V/3,8/78/0/14;V/2,3/82/0/23;E/4,8/80/0/14;E/4,2/83/0/23;E/4,3/84/14/23
61:V/3,1/85/0/4;V/2,3/86/0/23;E/4,1/87/0/4;E/4,2/88/0/23;E/4,3/89/4/23
67:V/2,3/86/0/23;E/4,2/88/0/23
68:V/3,1/90/0/4;V/2,3/91/0/23;E/4,1/92/0/4;E/4,2/93/0/23;E/4,3/94/4/23
70:V/3,1/95/0/4;V/2,3/96/0/23;E/4,1/97/0/4;E/4,2/98/0/23;E/4,3/99/4/23
71:V/3,8/78/0/14;V/2,3/82/0/23;E/4,8/80/0/14;E/4,2/83/0/23;E/4,3/84/14/23
77:V/3,1/100/0/4;V/2,3/86/0/23;E/4,1/101/0/4;E/4,2/88/0/23;E/4,3/102/4/23
78:V/3,1/103/0/4;V/9,3/78/0/14;E/4,1/104/0/4;E/4,9/80/0/14;E/4,3/105/4/14
79:V/3,8/78/0/14;V/2,3/82/0/23;E/4,8/80/0/14;E/4,2/83/0/23;E/4,3/84/14/23
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,5;41530949/100000000;2,41,59,59,17,660;2,41,61,61,18,110
1;C;0,15;1199103/5000000;2,23,0,59,4,1087;2,23,0,63,4,599
2;C;0,5;41530949/100000000;2,41,59,59,16,726;2,41,61,61,18,110
3;C;0,15;1199103/5000000;2,23,0,59,0,1119;2,23,0,63,4,599
4;C;5,7;10054761/25000000;4,4021,6004,6004,1747,2219950;2,40,61,55,17,676
4;L;7,8;10054761/25000000,34340971/100000000;2,40,61,55,17,676;2,34,61,43,14,838
4;C;8,9;6121341/20000000;2,30,61,43,14,38;2,30,62,32,12,844
4;C;9,10;27537063/100000000;2,27,62,32,12,244;2,27,62,20,10,956
4;C;10,15;1199103/5000000;2,23,62,20,10,156;2,23,63,0,4,599
5;L;0,1;41530949/100000000,1319413/3125000;4,4153,417,3745,5825,999836;4,4222,420,3777,5875,966621
5;L;1,2;1319413/3125000,10730683/25000000;4,4222,420,3777,5875,966621;4,4292,424,3809,5925,940493
5;L;2,3;10730683/25000000,43635499/100000000;4,4292,424,3809,5925,940493;4,4363,427,3842,5975,915457
5;C;3,4;43635499/100000000;4,4363,427,3842,5975,915457;4,4363,428,3845,5981,748069
6;C;0,6;41206577/100000000;2,41,0,30,59,338;4,4120,0,3009,6018,913271
7;L;0,1;41530949/100000000,1319413/3125000;4,4153,117,3845,5825,401036;4,4222,217,3845,5875,577636
7;L;1,2;1319413/3125000,10730683/25000000;4,4222,217,3845,5875,577636;4,4292,317,3845,5925,744236
7;L;2,3;10730683/25000000,43635499/100000000;4,4292,317,3845,5925,744236;4,4363,417,3845,5975,900836
7;C;3,4;43635499/100000000;4,4363,417,3845,5975,900836;4,4363,428,3845,5981,748069
8;C;0,6;41206577/100000000;2,41,0,30,59,338;4,4120,0,3009,6018,913271
9;L;4,5;21857457/50000000,42072837/100000000;4,4371,428,3845,5981,908069;4,4207,164,3329,6004,934831
9;L;5,6;42072837/100000000,41206577/100000000;4,4207,164,3329,6004,934831;4,4120,0,3009,6018,913271
10;C;0,15;1199103/5000000;2,23,0,30,30,1900;2,23,0,32,32,1528
11;C;0,15;1199103/5000000;2,23,0,30,28,2132;2,23,0,32,32,1528
12;L;6,7;41206577/100000000,10054761/25000000;4,4120,3009,0,6018,913271;4,4021,3013,0,5933,940853
12;L;7,8;10054761/25000000,34340971/100000000;4,4021,3013,0,5933,940853;2,34,31,0,54,7
12;L;8,9;34340971/100000000,6121341/20000000;2,34,31,0,54,7;2,30,31,0,49,237
12;L;9,10;6121341/20000000,27537063/100000000;2,30,31,0,49,237;2,27,31,0,44,567
12;C;10,15;1199103/5000000;4,2398,3088,0,4328,961088;2,23,32,0,32,1528
13;C;0,12;12404919/50000000;2,24,6,59,6,1211;2,24,6,63,7,697
14;C;0,12;12404919/50000000;2,24,2,59,1,1313;2,24,6,63,7,697
15;C;0,15;1199103/5000000;2,23,3,49,4,2158;2,23,4,53,4,1743
16;C;0,15;1199103/5000000;2,23,0,51,0,1999;2,23,4,53,4,1743
17;C;12,15;1199103/5000000;2,23,6,63,7,497;2,23,4,53,4,1743
18;L;0,1;41530949/100000000,1319413/3125000;4,4153,289,3873,5825,115100;4,4222,291,3906,5875,67233
18;L;1,2;1319413/3125000,10730683/25000000;4,4222,291,3906,5875,67233;4,4292,293,3940,5925,19301
18;L;2,3;10730683/25000000,43635499/100000000;4,4292,293,3940,5925,19301;6,436354,29547,397240,597500,22857191
18;L;3,4;43635499/100000000,21857457/50000000;6,436354,29547,397240,597500,22857191;8,43714914,2957402,39760617,59805225,34588457
19;C;0,6;41206577/100000000;2,41,0,31,59,277;10,4120657700,0,3162808609,6017050525,1662029933869
20;L;0,1;41530949/100000000,1319413/3125000;8,41530949,624565,38983005,58250000,39730750;8,42221216,1374565,39233005,58750000,89730750
20;L;1,2;1319413/3125000,10730683/25000000;8,42221216,1374565,39233005,58750000,89730750;10,4292273200,212456417,3948300408,5925000000,159062555647
20;L;2,3;10730683/25000000,43635499/100000000;10,4292273200,212456417,3948300408,5925000000,159062555647;10,4363549900,287456417,3973300408,5975000000,676112555647
20;L;3,4;43635499/100000000,21857457/50000000;10,4363549900,287456417,3973300408,5975000000,676112555647;8,43714914,2957402,39760617,59805225,34588457
21;C;0,6;41206577/100000000;2,41,0,30,59,338;10,4120657700,0,3162808609,6017050525,1662029933869
22;L;4,5;21857457/50000000,42072837/100000000;8,43714914,2957402,39760617,59805225,34588457;10,4207283700,18191064,3474493103,6003050911,282280119453
22;L;5,6;42072837/100000000,41206577/100000000;10,4207283700,18191064,3474493103,6003050911,282280119453;10,4120657700,0,3162808609,6017050525,1662029933869
23;C;0,15;1199103/5000000;2,23,0,33,30,1711;2,23,0,35,32,1327
24;C;0,15;1199103/5000000;2,23,0,31,28,2071;2,23,0,35,32,1327
25;L;6,7;41206577/100000000,10054761/25000000;10,4120657700,3162808609,0,6017050525,1662029933869;10,4021904400,3171754655,0,5932034234,101789897463
25;L;7,8;10054761/25000000,34340971/100000000;10,4021904400,3171754655,0,5932034234,101789897463;10,3434097100,3228022804,0,5397305329,1147952381102
25;L;8,9;34340971/100000000,6121341/20000000;10,3434097100,3228022804,0,5397305329,1147952381102;2,30,33,0,49,109
25;L;9,10;6121341/20000000,27537063/100000000;2,30,33,0,49,109;2,27,34,0,44,372
25;C;10,12;12404919/50000000;4,2480,3341,0,4328,974551;2,24,35,0,38,687
25;C;12,15;1199103/5000000;2,23,35,0,38,487;2,23,35,0,32,1327
26;C;0,4;41530949/100000000;2,41,59,59,21,356;2,41,60,60,22,32
27;C;0,4;41530949/100000000;2,41,59,59,20,438;2,41,60,60,22,32
28;C;4,5;42072837/100000000;2,42,60,60,22,232;2,42,61,61,18,310
29;C;0,2;41530949/100000000;2,41,5,59,48,86;4,4153,424,5925,4867,399221
29;C;2,4;10730683/25000000;4,4292,424,5925,4867,3179221;4,4292,428,5981,4913,1609317
30;C;0,12;12404919/50000000;2,24,0,59,21,437;4,2480,0,6231,2181,1261117
31;C;0,2;41530949/100000000;4,4153,117,5825,4835,2361236;4,4153,317,5925,4885,127436
31;C;2,4;10730683/25000000;4,4292,317,5925,4885,2907436;4,4292,428,5981,4913,1609317
32;C;0,12;12404919/50000000;2,24,0,59,19,597;4,2480,0,6231,2181,1261117
33;L;4,5;21857457/50000000,42072837/100000000;4,4371,5981,428,4913,3189317;2,42,61,2,47,257
33;C;5,6;41206577/100000000;2,41,61,2,47,57;2,41,61,0,46,247
33;C;6,7;10054761/25000000;2,40,61,0,46,47;2,40,61,0,45,229
33;L;7,8;10054761/25000000,34340971/100000000;2,40,61,0,45,229;2,34,61,0,39,37
33;L;8,9;34340971/100000000,6121341/20000000;2,34,61,0,39,37;4,3060,6125,0,3332,1479927
33;L;9,10;6121341/20000000,27537063/100000000;4,3060,6125,0,3332,1479927;4,2753,6175,0,2785,1416925
33;L;10,11;27537063/100000000,25035107/100000000;4,2753,6175,0,2785,1416925;4,2503,6225,0,2237,1301037
33;C;11,12;12404919/50000000;4,2480,6225,0,2237,841037;4,2480,6231,0,2181,1261117
34;C;0,15;1199103/5000000;2,23,0,49,20,1399;2,23,0,53,21,909
35;C;0,15;1199103/5000000;2,23,0,51,18,1351;2,23,0,53,21,909
36;L;12,13;12404919/50000000,24071297/100000000;4,2480,0,6231,2181,1261117;2,24,0,55,22,807
36;C;13,15;1199103/5000000;2,23,0,55,22,607;2,23,0,53,21,909
37;C;0,1;41530949/100000000;4,4153,289,5825,4849,2020252;4,4153,291,5875,4891,615932
37;C;1,2;1319413/3125000;2,42,3,59,49,108;4,4222,293,5925,4933,579548
37;C;2,4;10730683/25000000;4,4292,293,5925,4933,1979548;4,4292,296,5981,4979,399141
38;C;0,15;1199103/5000000;2,23,0,59,17,541;4,2398,0,6286,1733,2439626
39;C;0,1;41530949/100000000;4,4153,63,5825,4862,1847318;4,4153,138,5875,4900,505331
39;C;1,2;1319413/3125000;2,42,2,59,49,113;4,4222,213,5925,4937,541068
39;C;2,4;10730683/25000000;4,4292,213,5925,4937,1941068;4,4292,296,5981,4979,399141
40;C;0,15;1199103/5000000;2,23,0,59,14,727;4,2398,0,6286,1733,2439626
41;L;4,5;21857457/50000000,42072837/100000000;4,4371,5981,296,4979,1979141;2,42,61,1,48,70
41;C;5,6;41206577/100000000;4,4120,6004,19,4739,1435381;2,41,61,0,46,247
41;C;6,7;10054761/25000000;2,40,61,0,46,47;2,40,61,0,46,47
41;L;7,8;10054761/25000000,34340971/100000000;2,40,61,0,46,47;4,3434,6075,0,3974,189023
41;L;8,9;34340971/100000000,6121341/20000000;4,3434,6075,0,3974,189023;8,30606705,61250000,0,34422220,40543200
41;L;9,10;6121341/20000000,27537063/100000000;8,30606705,61250000,0,34422220,40543200;8,27537063,61750000,0,29106271,76949118
41;L;10,11;27537063/100000000,25035107/100000000;8,27537063,61750000,0,29106271,76949118;10,2503510700,6225000000,0,2379032242,183048906872
41;L;11,12;25035107/100000000,12404919/50000000;10,2503510700,6225000000,0,2379032242,183048906872;10,2480983800,6230145710,0,2324323592,111513030972
41;L;12,13;12404919/50000000,24071297/100000000;10,2480983800,6230145710,0,2324323592,111513030972;2,24,63,0,19,109
41;C;13,15;1199103/5000000;4,2398,6275,0,1848,1754167;4,2398,6286,0,1733,2439626
42;C;0,4;41530949/100000000;2,41,34,59,9,3401;2,41,35,60,9,3213
43;C;0,25;22694341/100000000;2,22,0,59,0,919;4,2269,0,6675,0,824375
44;C;0,16;23683183/100000000;2,23,0,59,0,1119;2,23,0,64,0,504
44;C;16,24;22694341/100000000;2,22,0,64,0,304;4,2269,0,6625,0,1489375
44;C;24,26;226969/1000000;4,2269,0,6625,0,1489375;4,2269,0,6675,0,824375
44;C;26,27;22756253/100000000;4,2275,0,6675,0,944375;4,2275,0,6725,0,274375
44;L;27,28;22879529/100000000,23066729/100000000;4,2287,0,6725,0,514375;4,2306,0,6775,0,219375
44;L;28,29;23066729/100000000,5829463/25000000;4,2306,0,6775,0,219375;4,2331,0,6825,0,39375
44;L;29,30;5829463/25000000,23632813/100000000;4,2331,0,6825,0,39375;8,23632813,0,68750000,0,100000000
44;L;30,31;23632813/100000000,23977813/100000000;8,23632813,0,68750000,0,100000000;8,23977813,0,69250000,0,100000000
44;L;31,32;23977813/100000000,11989847/50000000;8,23977813,0,69250000,0,100000000;10,2397969400,0,6925271608,0,1155429094336
45;C;0,4;41530949/100000000;2,41,59,35,7,3396;2,41,60,35,9,3213
46;C;0,25;22694341/100000000;2,22,0,59,0,919;4,2269,0,6675,0,824375
47;C;25,26;22755709/100000000;4,2275,0,6675,0,944375;4,2275,0,6675,0,944375
47;C;26,27;22756253/100000000;4,2275,0,6675,0,944375;4,2275,0,6725,0,274375
47;L;27,28;22879529/100000000,23066729/100000000;4,2287,0,6725,0,514375;4,2306,0,6775,0,219375
47;L;28,29;23066729/100000000,5829463/25000000;4,2306,0,6775,0,219375;4,2331,0,6825,0,39375
47;L;29,30;5829463/25000000,23632813/100000000;4,2331,0,6825,0,39375;8,23632813,0,68750000,0,100000000
47;L;30,31;23632813/100000000,23977813/100000000;8,23632813,0,68750000,0,100000000;8,23977813,0,69250000,0,100000000
47;L;31,32;23977813/100000000,11989847/50000000;8,23977813,0,69250000,0,100000000;10,2397969400,0,6925271608,0,1155429094336
48;C;4,11;25035107/100000000;2,25,60,35,9,13;2,25,63,16,6,703
48;C;11,18;11679497/50000000;2,23,63,16,6,303;2,23,64,4,5,438
48;C;18,25;22694341/100000000;2,22,64,4,5,238;4,2269,6675,0,83,810597
48;C;25,26;22755709/100000000;4,2275,6675,0,83,930597;4,2275,6675,0,83,930597
48;C;26,27;22756253/100000000;4,2275,6675,0,83,930597;4,2275,6725,0,29,272693
48;L;27,28;22879529/100000000,23066729/100000000;4,2287,6725,0,29,512693;4,2306,6775,0,0,219375
48;L;28,29;23066729/100000000,5829463/25000000;4,2306,6775,0,0,219375;4,2331,6825,0,0,39375
48;L;29,30;5829463/25000000,23632813/100000000;4,2331,6825,0,0,39375;8,23632813,68750000,0,0,100000000
48;L;30,31;23632813/100000000,23977813/100000000;8,23632813,68750000,0,0,100000000;8,23977813,69250000,0,0,100000000
48;L;31,32;23977813/100000000,11989847/50000000;8,23977813,69250000,0,0,100000000;10,2397969400,6925271608,0,0,1155429094336
49;C;0,34;5429213/25000000;2,21,0,55,0,1175;8,21716852,0,65904251,0,100128999
50;C;25,29;22755709/100000000;4,2275,0,6675,0,944375;4,2275,0,6638,0,1436956
50;C;29,31;5829463/25000000;2,23,0,67,0,111;2,23,0,67,0,111
50;C;31,32;23977813/100000000;2,23,0,67,0,111;2,23,0,67,0,111
50;C;32,33;11332819/50000000;4,2266,0,6613,0,1588231;2,22,0,66,0,44
50;L;33,34;11332819/50000000,5429213/25000000;2,22,0,66,0,44;8,21716852,0,65904251,0,100128999
51;L;32,33;11989847/50000000,11332819/50000000;10,2397969400,0,6925271608,0,1155429094336;8,22665638,0,67328505,0,14464975
51;L;33,34;11332819/50000000,5429213/25000000;8,22665638,0,67328505,0,14464975;8,21716852,0,65904251,0,100128999
52;C;0,4;41530949/100000000;2,41,0,22,48,3108;2,41,0,23,50,2671
53;C;0,34;5429213/25000000;2,21,0,22,13,3378;2,21,0,27,16,2959
54;C;0,4;41530949/100000000;2,41,0,22,49,2914;2,41,0,23,50,2671
55;C;0,34;5429213/25000000;2,21,0,22,8,3588;2,21,0,27,16,2959
56;C;4,7;10054761/25000000;2,40,23,0,50,2471;2,40,23,0,48,2863
56;C;7,9;6121341/20000000;2,30,23,0,48,863;2,30,23,0,45,1421
56;C;9,11;25035107/100000000;2,25,23,0,45,421;2,25,24,0,42,896
56;C;11,19;2887341/12500000;2,23,24,0,42,496;2,23,25,0,35,1525
56;C;19,34;5429213/25000000;2,21,25,0,35,1125;2,21,27,0,16,2959
57;C;0,17;11691433/50000000;2,23,4,59,4,1071;2,23,4,64,5,438
58;C;0,17;11691433/50000000;2,23,0,59,0,1119;2,23,4,64,5,438
59;C;0,34;5429213/25000000;2,21,0,22,0,3716;2,21,0,27,0,3471
60;C;0,34;5429213/25000000;2,21,0,22,0,3716;2,21,0,27,0,3471
61;C;17,34;5429213/25000000;2,21,4,64,5,38;2,21,0,27,0,3471
62;C;0,4;41530949/100000000;2,41,0,24,48,3016;2,41,0,25,50,2575
63;C;0,34;5429213/25000000;2,21,0,25,13,3237;2,21,0,30,16,2788
64;C;0,4;41530949/100000000;2,41,0,23,49,2869;2,41,0,25,50,2575
65;C;0,34;5429213/25000000;2,21,0,18,8,3748;2,21,0,30,16,2788
66;C;4,7;10054761/25000000;2,40,25,0,50,2375;2,40,25,0,48,2767
66;C;7,9;6121341/20000000;2,30,25,0,48,767;2,30,25,0,45,1325
66;C;9,11;25035107/100000000;2,25,25,0,45,325;2,25,26,0,42,796
66;C;11,19;2887341/12500000;2,23,26,0,42,396;2,23,27,0,35,1421
66;C;19,34;5429213/25000000;2,21,27,0,35,1021;2,21,30,0,16,2788
67;C;0,4;41530949/100000000;2,41,0,59,30,2919;2,41,0,60,31,2678
68;C;0,17;11691433/50000000;2,23,0,59,16,607;4,2338,0,6371,1643,771461
69;C;0,4;41530949/100000000;2,41,0,59,30,2919;2,41,0,60,31,2678
70;C;0,17;11691433/50000000;2,23,0,59,13,781;4,2338,0,6371,1643,771461
71;C;4,10;27537063/100000000;4,2753,5981,0,3044,755767;2,27,62,0,24,404
71;C;10,11;25035107/100000000;2,25,62,0,24,4;2,25,63,0,22,63
71;C;11,13;24071297/100000000;6,240712,622500,0,216630,60636200;2,24,63,0,20,31
71;C;13,15;1199103/5000000;4,2398,6275,0,1987,688037;4,2398,6286,0,1949,849002
71;C;15,16;23683183/100000000;4,2368,6286,0,1949,249002;4,2368,6325,0,1808,816647
71;C;16,17;11691433/50000000;4,2338,6325,0,1808,216647;4,2338,6371,0,1643,771461
72;C;17,19;2887341/12500000;4,2309,0,6371,1643,191461;2,23,0,61,17,301
72;C;19,21;22769967/100000000;2,22,0,61,17,101;2,22,0,55,17,797
72;C;21,25;22694341/100000000;2,22,0,55,17,797;2,22,0,46,16,1772
72;C;25,34;5429213/25000000;2,21,0,46,16,1572;2,21,0,27,16,2959
73;C;0,4;41530949/100000000;2,41,0,59,31,2797;2,41,0,60,32,2552
74;C;0,4;41530949/100000000;2,41,0,59,31,2797;2,41,0,60,32,2552
75;C;0,25;22694341/100000000;2,22,0,59,0,919;4,2269,0,6675,0,824375
76;C;4,7;10054761/25000000;2,40,60,0,32,2352;2,40,61,0,30,2479
76;C;7,9;6121341/20000000;2,30,61,0,30,479;2,30,62,0,27,698
76;C;9,10;27537063/100000000;2,27,62,0,27,98;2,27,62,0,25,306
76;L;10,11;27537063/100000000,25035107/100000000;2,27,62,0,25,306;4,2503,6225,0,2269,1012653
76;C;11,12;12404919/50000000;4,2480,6225,0,2269,552653;4,2480,6231,0,2251,640637
76;L;12,13;12404919/50000000,24071297/100000000;4,2480,6231,0,2251,640637;8,24071297,62750000,0,20936771,140187118
76;L;13,14;24071297/100000000,12004641/50000000;8,24071297,62750000,0,20936771,140187118;12,240092820000,628246614740,0,206750853624,119224666865648
76;L;14,15;12004641/50000000,1199103/5000000;12,240092820000,628246614740,0,206750853624,119224666865648;10,2398206000,6285798953,0,2055827193,627507585293
76;L;15,16;1199103/5000000,23683183/100000000;10,2398206000,6285798953,0,2055827193,627507585293;10,2368318300,6325000000,0,1918429121,415398334718
76;L;16,17;23683183/100000000,11691433/50000000;10,2368318300,6325000000,0,1918429121,415398334718;8,23382866,63709513,0,17573718,24615783
76;L;17,18;11691433/50000000,11679497/50000000;8,23382866,63709513,0,17573718,24615783;8,23358994,63750000,0,17431812,160793312
76;L;18,19;11679497/50000000,2887341/12500000;8,23358994,63750000,0,17431812,160793312;8,23098728,64250000,0,15679333,133350222
76;L;19,20;2887341/12500000,4580477/20000000;8,23098728,64250000,0,15679333,133350222;8,22902385,64750000,0,13926853,31032782
76;L;20,21;4580477/20000000,22769967/100000000;8,22902385,64750000,0,13926853,31032782;8,22769967,65250000,0,12174373,184113742
76;L;21,22;22769967/100000000,709421/3125000;8,22769967,65250000,0,12174373,184113742;8,22701472,65750000,0,10421894,150905528
76;L;22,23;709421/3125000,22694341/100000000;8,22701472,65750000,0,10421894,150905528;10,2269434100,6587486685,0,998424013,155477662437
76;L;23,24;22694341/100000000,226969/1000000;10,2269434100,6587486685,0,998424013,155477662437;8,22696900,66250000,0,8669414,21793208
76;L;24,25;226969/1000000,22755709/100000000;8,22696900,66250000,0,8669414,21793208;8,22755709,66747016,0,6927394,79833272
76;L;25,26;22755709/100000000,22756253/100000000;8,22755709,66747016,0,6927394,79833272;8,22756253,66750000,0,6916935,120411550
76;L;26,27;22756253/100000000,22879529/100000000;8,22756253,66750000,0,6916935,120411550;8,22879529,67250000,0,5164455,109105950
76;L;27,28;22879529/100000000,23066729/100000000;8,22879529,67250000,0,5164455,109105950;8,23066729,67750000,0,3411976,139550848
76;L;28,29;23066729/100000000,5829463/25000000;8,23066729,67750000,0,3411976,139550848;8,23317852,68250000,0,1659496,46051968
76;L;29,30;5829463/25000000,23632813/100000000;8,23317852,68250000,0,1659496,46051968;8,23632813,68750000,0,0,100000000
76;L;30,31;23632813/100000000,23977813/100000000;8,23632813,68750000,0,0,100000000;8,23977813,69250000,0,0,100000000
76;L;31,32;23977813/100000000,11989847/50000000;8,23977813,69250000,0,0,100000000;10,2397969400,6925271608,0,0,1155429094336
77;C;0,4;41530949/100000000;2,41,0,59,3,4701;2,41,0,60,3,4582
78;C;0,14;12004641/50000000;2,24,0,59,0,1319;2,24,0,63,0,831
79;C;0,4;41530949/100000000;2,41,0,59,0,4719;2,41,0,60,3,4582
80;C;0,14;12004641/50000000;2,24,0,59,0,1319;2,24,0,63,0,831
81;C;4,14;12004641/50000000;2,24,60,0,3,1182;2,24,63,0,0,831
82;C;0,23;22694341/100000000;2,22,0,45,0,2375;2,22,0,51,0,1799
83;C;0,23;22694341/100000000;2,22,0,54,0,1484;2,22,0,51,0,1799
84;C;14,23;22694341/100000000;2,22,0,63,0,431;2,22,0,51,0,1799
85;C;0,4;41530949/100000000;2,41,0,18,30,6076;2,41,0,18,30,6076
86;C;0,23;22694341/100000000;2,22,0,18,11,3834;2,22,0,20,12,3712
87;C;0,4;41530949/100000000;2,41,0,18,29,6194;2,41,0,18,30,6076
88;C;0,23;22694341/100000000;2,22,0,18,7,3978;2,22,0,20,12,3712
89;C;4,23;22694341/100000000;2,22,18,0,30,2276;2,22,20,0,12,3712
90;C;0,4;41530949/100000000;2,41,2,53,3,5369;2,41,2,54,3,5262
91;C;0,23;22694341/100000000;2,22,0,18,0,4076;2,22,0,20,0,4000
92;C;0,4;41530949/100000000;2,41,1,54,0,5283;2,41,2,54,3,5262
93;C;0,23;22694341/100000000;2,22,0,18,0,4076;2,22,0,20,0,4000
94;C;4,23;22694341/100000000;2,22,2,54,3,1462;2,22,0,20,0,4000
95;C;0,4;41530949/100000000;2,41,0,20,30,6000;2,41,0,20,30,6000
96;C;0,23;22694341/100000000;2,22,0,20,11,3758;2,22,0,23,12,3583
97;C;0,4;41530949/100000000;2,41,0,19,29,6157;2,41,0,20,30,6000
98;C;0,23;22694341/100000000;2,22,0,15,7,4077;2,22,0,23,12,3583
99;C;4,23;22694341/100000000;2,22,20,0,30,2200;2,22,23,0,12,3583
100;C;0,4;41530949/100000000;2,41,0,53,12,5103;2,41,0,54,12,4996
101;C;0,4;41530949/100000000;2,41,0,54,11,5042;2,41,0,54,12,4996
102;C;4,23;22694341/100000000;2,22,0,54,12,1196;2,22,0,20,12,3712
103;C;0,4;41530949/100000000;2,41,0,59,10,4519;2,41,0,60,10,4400
104;C;0,4;41530949/100000000;2,41,0,59,9,4557;2,41,0,60,10,4400
105;C;4,14;12004641/50000000;2,24,60,0,10,1000;2,24,63,0,0,831
MASS SLACK NUMERATOR 82081262035806238008411720427676487028183910723896406284312447789346035678429538022445601989963892049223

BIN 5: PPC; (7/6,19/16]; gamma0=5853/10000; mass ceiling=95218013/100000000.
GAMMA 0=5853/10000;1=5903/10000;2=12815381250/21615092081;3=1222182675000/2056270358749;4=5953/10000;5=89033175000/149542783273;6=6003/10000;7=6053/10000;8=25181100000/41262991799;9=6103/10000;10=5620781250/9146850281;11=6153/10000;12=296327587500/479509003081;13=6203/10000;14=6253/10000;15=9892575000/15769479581;16=6303/10000;17=89033175000/140701497053;18=6353/10000;19=6403/10000;20=6453/10000;21=5058703125/7789861003;22=6503/10000;23=6553/10000;24=6603/10000;25=6653/10000;26=6703/10000;27=101398893750/150594072053;28=6753/10000;29=6803/10000;30=6853/10000;31=7419431250/10823192081;32=6903/10000;33=6953/10000;34=7003/10000;35=7053/10000;36=7103/10000;37=7153/10000;38=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40985318,41654880;1,2,41654880,42003931;2,3,42003931,40480114;3,4,40480114,39644432;4,5,39644432,39586132;5,6,39586132,31123527;6,7,31123527,26235746;7,8,26235746,23591408;8,9,23591408,23586521;9,10,23586521,23118718;10,11,23118718,23036857;11,12,23036857,22776482;12,13,22776482,22570670;13,14,22570670,22187958;14,15,22187958,22056764;15,16,22056764,21888723;16,17,21888723,21771248;17,18,21771248,21672965;18,19,21672965,21540682;19,20,21540682,21491876;20,21,21491876,21514093;21,22,21514093,21526546;22,23,21526546,21644692;23,24,21644692,21846315;24,25,21846315,22131414;25,26,22131414,22465105;26,27,22465105,22668391;27,28,22668391,22038868;28,29,22038868,20484050;29,30,20484050,18986101;30,31,18986101,18923758;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;234240290303/70147350000,5/13,21615092081/10791900000;-368358580450403
1;0,6,7;4/13,1,7;-2
3;0,3,7;171/208,3,1;-2
4;2,3,7;129/104,49/26,25/48;-263
5;2,3,8;243/208,56/39,25/48;-41
8;1,3,6;53/104,75/26,19/16;-53
9;1,4,10;12263910731/3597300000,3/2,21615092081/10791900000;-15191294650031
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;7/4,1/3,25/48;-1
17;2,3,8;243/208,56/39,25/48;-41
19;0,3,13;105/104,2,1;-1
21;0,3,13;89/208,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;243/208,56/39,25/48;-41
26;1,3,12;105/104,44/13,19/16;-105
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;171/208,3,1;-2
31;2,3,7;233/104,49/26,11/16;-53
33;1,4,12;18017792081/3597300000,1/2,21615092081/10791900000;-24184544650031
35;1,3,6;53/104,75/26,19/16;-53
36;1,4,10;18017792081/3597300000,1/2,21615092081/10791900000;-33177794650031
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;18017792081/3597300000,1/2,21615092081/10791900000;-24184544650031
45;1,4,13;245023197053/46764900000,5/13,21615092081/10791900000;-368358580450403
46;0,3,13;105/104,2,1;-1
48;0,3,13;89/208,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;105/104,44/13,19/16;-105
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;337/104,31/13,15/16;-53
60;0,1,12;1/2,3,1;-1
62;1,3,6;53/104,75/26,19/16;-53
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;7789861003/1348987500,1,21615092081/10791900000;-6198044650031
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;105/104,2,1;-1
74;1,4,6;7789861003/1348987500,1,21615092081/10791900000;-6198044650031
75;0,3,13;89/208,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;105/104,44/13,19/16;-105
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;3232256564196452,1869788635215282891900000,42740764884912,11344
6;1,4,12,3;8750285599504,42406610430443483700000,20077119337508,80
7;11,4,2,3;20077119337508,128898471220406376300000,42740764884912,784
11;8,4,6,3;3232256564196452,157466645179875165684375,10298709000453,2524
14;5,4,2,3;10298709000453,1974413481600597778125,42740764884912,36
15;1,4,12,3;8750285599504,42406610430443483700000,20077119337508,80
16;11,4,2,3;20077119337508,128898471220406376300000,42740764884912,784
18;1,4,13,3;8750285599504,357177426245765288100000,3232256564196452,656
20;1,4,6,3;8750285599504,22173292479416576596875,10298709000453,116
23;5,4,2,3;10298709000453,1974413481600597778125,42740764884912,36
24;1,4,2,3;8750285599504,258811345800000000000000,42740764884912,512
29;1,4,2,7,3;8750285599504,194108509350000000000000,89074516998388,52,4640
32;8,2,3;52,4,32
34;1,4,2,3;8750285599504,194108509350000000000000,57846235999504,128
38;1,4,6,3;8750285599504,80332085160332612775000,6626986012407,52
41;5,4,2,3;6626986012407,2697975000,57846235999504,4
43;1,4,2,3;8750285599504,194108509350000000000000,57846235999504,128
44;8,2,3;52,4,32
47;1,4,6,3;8750285599504,80332085160332612775000,6626986012407,52
50;5,4,2,3;6626986012407,2697975000,57846235999504,4
51;1,4,2,9,3;8750285599504,194108509350000000000000,89074516998388,52,4640
52;8,2,3;52,4,32
56;1,4,7,3;8750285599504,428612911494918345720000,16297806716558328,1312
59;8,4,2,3;16297806716558328,86151984269398631640000,26629198930352,1184
61;1,4,2,3;8750285599504,48527127337500000000000,26629198930352,64
68;1,4,2,3;8750285599504,48527127337500000000000,26629198930352,64
70;1,4,2,3;8750285599504,48527127337500000000000,26629198930352,64
71;8,4,2,3;16297806716558328,86151984269398631640000,26629198930352,1184
77;1,4,2,3;8750285599504,48527127337500000000000,26629198930352,64
78;1,4,9,3;8750285599504,428612911494918345720000,16297806716558328,1312
79;8,4,2,3;16297806716558328,86151984269398631640000,26629198930352,1184
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;2,7
44;29;V;7,3
45;29;E;4,1
46;29;E;4,2
47;29;E;4,7
48;29;E;4,3
49;32;V;2,3
50;32;E;4,2
51;32;E;4,3
52;34;V;3,1
53;34;V;2,3
54;34;E;4,1
55;34;E;4,2
56;34;E;4,3
57;38;V;6,3
58;38;E;4,6
59;41;V;2,3
60;41;E;4,2
61;41;E;4,3
62;43;V;3,1
63;43;V;2,3
64;43;E;4,1
65;43;E;4,2
66;43;E;4,3
67;47;V;3,1
68;47;V;6,3
69;47;E;4,1
70;47;E;4,6
71;47;E;4,3
72;50;E;4,3
73;51;V;3,1
74;51;E;4,1
75;51;E;4,2
76;51;E;4,3
77;56;V;3,1
78;56;V;7,3
79;56;E;4,1
80;56;E;4,7
81;56;E;4,3
82;59;V;2,3
83;59;E;4,2
84;59;E;4,3
85;61;V;3,1
86;61;V;2,3
87;61;E;4,1
88;61;E;4,2
89;61;E;4,3
90;68;V;3,1
91;68;V;2,3
92;68;E;4,1
93;68;E;4,2
94;68;E;4,3
95;70;V;3,1
96;70;V;2,3
97;70;E;4,1
98;70;E;4,2
99;70;E;4,3
100;77;V;3,1
101;77;E;4,1
102;77;E;4,3
103;78;V;3,1
104;78;E;4,1
105;78;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:
2:V/3,5/0/0/3;V/2,3/1/0/10;E/4,5/2/0/3;E/4,2/3/0/10;E/4,3/4/3/10
6:V/3,1/5/0/2;V/12,3/6/0/5;E/4,1/7/0/2;E/4,12/8/0/5;E/4,3/9/2/5
7:V/3,11/6/0/5;V/2,3/10/0/10;E/4,11/8/0/5;E/4,2/11/0/10;E/4,3/12/5/10
11:V/3,8/0/0/3;V/6,3/13/0/8;E/4,8/2/0/3;E/4,6/14/0/8;E/4,3/4/3/8
14:V/3,5/13/0/8;V/2,3/15/0/10;E/4,5/14/0/8;E/4,2/16/0/10;E/4,3/17/8/10
15:V/3,1/18/0/2;V/12,3/19/0/5;E/4,1/20/0/2;E/4,12/21/0/5;E/4,3/22/2/5
16:V/3,11/19/0/5;V/2,3/23/0/10;E/4,11/21/0/5;E/4,2/24/0/10;E/4,3/25/5/10
18:V/3,1/26/0/2;V/13,3/0/0/3;E/4,1/27/0/2;E/4,13/2/0/3;E/4,3/28/2/3
20:V/3,1/29/0/2;V/6,3/30/0/8;E/4,1/31/0/2;E/4,6/32/0/8;E/4,3/33/2/8
23:V/3,5/30/0/8;V/2,3/34/0/10;E/4,5/32/0/8;E/4,2/35/0/10;E/4,3/36/8/10
24:V/3,1/37/0/2;V/2,3/38/0/10;E/4,1/39/0/2;E/4,2/40/0/10;E/4,3/41/2/10
29:V/3,1/42/0/2;V/2,7/43/0/17;V/7,3/44/0/27;E/4,1/45/0/2;E/4,2/46/0/17;E/4,7/47/17/27;E/4,3/48/2/27
32:V/3,8/44/0/27;V/8,2/43/0/17;V/2,3/49/0/31;E/4,8/47/17/27;E/4,2/50/17/31;E/4,3/51/27/31
34:V/3,1/52/0/2;V/2,3/53/0/31;E/4,1/54/0/2;E/4,2/55/0/31;E/4,3/56/2/31
38:V/3,1/42/0/2;V/6,3/57/0/15;E/4,1/45/0/2;E/4,6/58/0/15;E/4,3/48/2/15
40:V/2,3/53/0/31;E/4,2/55/0/31
41:V/3,5/57/0/15;V/2,3/59/0/31;E/4,5/58/0/15;E/4,2/60/0/31;E/4,3/61/15/31
43:V/3,1/62/0/2;V/2,3/63/0/31;E/4,1/64/0/2;E/4,2/65/0/31;E/4,3/66/2/31
44:V/3,8/44/0/27;V/8,2/43/0/17;V/2,3/49/0/31;E/4,8/47/17/27;E/4,2/50/17/31;E/4,3/51/27/31
47:V/3,1/67/0/2;V/6,3/68/0/15;E/4,1/69/0/2;E/4,6/70/0/15;E/4,3/71/2/15
50:V/3,5/68/0/15;V/2,3/53/0/31;E/4,5/70/0/15;E/4,2/55/0/31;E/4,3/72/15/31
51:V/3,1/73/0/2;V/2,9/43/0/17;V/9,3/44/0/27;E/4,1/74/0/2;E/4,2/75/0/17;E/4,9/47/17/27;E/4,3/76/2/27
52:V/3,8/44/0/27;V/8,2/43/0/17;V/2,3/49/0/31;E/4,8/47/17/27;E/4,2/50/17/31;E/4,3/51/27/31
56:V/3,1/77/0/2;V/7,3/78/0/12;E/4,1/79/0/2;E/4,7/80/0/12;E/4,3/81/2/12
59:V/3,8/78/0/12;V/2,3/82/0/21;E/4,8/80/0/12;E/4,2/83/0/21;E/4,3/84/12/21
61:V/3,1/85/0/2;V/2,3/86/0/21;E/4,1/87/0/2;E/4,2/88/0/21;E/4,3/89/2/21
67:V/2,3/86/0/21;E/4,2/88/0/21
68:V/3,1/90/0/2;V/2,3/91/0/21;E/4,1/92/0/2;E/4,2/93/0/21;E/4,3/94/2/21
70:V/3,1/95/0/2;V/2,3/96/0/21;E/4,1/97/0/2;E/4,2/98/0/21;E/4,3/99/2/21
71:V/3,8/78/0/12;V/2,3/82/0/21;E/4,8/80/0/12;E/4,2/83/0/21;E/4,3/84/12/21
77:V/3,1/100/0/2;V/2,3/86/0/21;E/4,1/101/0/2;E/4,2/88/0/21;E/4,3/102/2/21
78:V/3,1/103/0/2;V/9,3/78/0/12;E/4,1/104/0/2;E/4,9/80/0/12;E/4,3/105/2/12
79:V/3,8/78/0/12;V/2,3/82/0/21;E/4,8/80/0/12;E/4,2/83/0/21;E/4,3/84/12/21
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,3;20240057/50000000;2,40,59,59,14,646;2,40,60,60,14,408
1;C;0,10;11559359/50000000;2,23,0,59,1,1117;2,23,0,62,1,754
2;C;0,3;20240057/50000000;2,40,59,59,13,700;2,40,60,60,14,408
3;C;0,10;11559359/50000000;2,23,0,59,0,1119;2,23,0,62,1,754
4;C;3,4;2477777/6250000;2,39,60,60,14,208;2,39,60,57,14,559
4;C;4,5;9896533/25000000;2,39,60,57,14,559;2,39,60,56,14,672
4;L;5,6;9896533/25000000,31123527/100000000;2,39,60,56,14,672;2,31,61,39,10,758
4;L;6,7;31123527/100000000,13117873/50000000;2,31,61,39,10,758;2,26,61,21,7,940
4;C;7,8;1474463/6250000;2,23,61,21,7,340;2,23,62,3,4,715
4;C;8,10;11559359/50000000;2,23,62,3,4,715;2,23,62,0,1,754
5;C;0,1;20492659/50000000;4,4098,35,3458,5853,1485793;4,4098,35,3487,5903,108788
5;C;1,2;260343/625000;4,4165,35,3487,5903,1448788;4,4165,35,3502,5929,728689
6;C;0,5;9896533/25000000;2,39,0,27,59,109;4,3958,0,2647,5954,1253159
7;L;0,1;20492659/50000000,260343/625000;4,4098,0,3511,5853,1117661;4,4165,0,3505,5903,1324157
7;C;1,2;260343/625000;4,4165,0,3505,5903,1324157;4,4165,35,3502,5929,728689
8;C;0,5;9896533/25000000;2,39,0,27,59,109;4,3958,0,2647,5954,1253159
9;L;2,3;42003931/100000000,20240057/50000000;4,4200,35,3502,5929,1428689;4,4048,0,2992,5944,1345664
9;L;3,4;20240057/50000000,2477777/6250000;4,4048,0,2992,5944,1345664;4,3964,0,2670,5953,1274682
9;C;4,5;9896533/25000000;4,3958,0,2670,5953,1154682;4,3958,0,2647,5954,1253159
10;C;0,10;11559359/50000000;2,23,0,27,27,2413;2,23,0,28,28,2248
11;C;0,10;11559359/50000000;2,23,0,27,26,2519;2,23,0,28,28,2248
12;L;5,6;9896533/25000000,31123527/100000000;4,3958,2647,0,5954,1253159;2,31,27,0,52,63
12;L;6,7;31123527/100000000,13117873/50000000;2,31,27,0,52,63;2,26,27,0,44,599
12;C;7,10;11559359/50000000;4,2311,2691,0,4317,1705541;2,23,28,0,28,2248
13;C;0,8;1474463/6250000;2,23,3,59,4,1078;2,23,3,62,4,715
14;C;0,8;1474463/6250000;2,23,0,59,0,1119;2,23,3,62,4,715
15;C;0,10;11559359/50000000;2,23,0,47,1,2389;2,23,0,50,1,2098
16;C;0,10;11559359/50000000;2,23,0,48,0,2296;2,23,0,50,1,2098
17;C;8,10;11559359/50000000;2,23,3,62,4,715;2,23,0,50,1,2098
18;L;0,1;20492659/50000000,260343/625000;4,4098,0,3655,5853,85757;4,4165,0,3686,5903,22586
18;L;1,2;260343/625000,42003931/100000000;4,4165,0,3686,5903,22586;10,4200393100,0,3701897965,5928904306,917318175503
19;C;0,5;9896533/25000000;4,3958,0,2829,5853,2641541;10,3958613200,0,2877386750,5953692519,269331306778
20;L;0,1;20492659/50000000,260343/625000;10,4098531800,0,3668162719,5853000000,266938527039;8,41654880,0,36903850,59030000,55177500
20;L;1,2;260343/625000,42003931/100000000;8,41654880,0,36903850,59030000,55177500;10,4200393100,0,3701897965,5928904306,917318175503
21;C;0,5;9896533/25000000;2,39,0,28,59,54;10,3958613200,0,2877386750,5953692519,269331306778
22;L;2,3;42003931/100000000,20240057/50000000;10,4200393100,0,3701897965,5928904306,917318175503;8,40480114,0,32102032,59436867,23919598
22;L;3,4;20240057/50000000,2477777/6250000;8,40480114,0,32102032,59436867,23919598;8,39644432,0,29004215,59530000,112233775
22;L;4,5;2477777/6250000,9896533/25000000;8,39644432,0,29004215,59530000,112233775;10,3958613200,0,2877386750,5953692519,269331306778
23;C;0,10;11559359/50000000;2,23,0,31,27,2181;2,23,0,33,28,1943
24;C;0,10;11559359/50000000;2,23,0,30,26,2348;2,23,0,33,28,1943
25;L;5,6;9896533/25000000,31123527/100000000;10,3958613200,2877386750,0,5953692519,269331306778;4,3112,2962,0,5141,606794
25;L;6,7;31123527/100000000,13117873/50000000;4,3112,2962,0,5141,606794;2,26,31,0,44,367
25;C;7,8;1474463/6250000;4,2359,3047,0,4317,622813;2,23,32,0,35,1126
25;C;8,10;11559359/50000000;2,23,32,0,35,1126;2,23,33,0,28,1943
26;C;0,2;20492659/50000000;2,40,59,59,18,390;2,40,60,60,18,152
27;C;0,2;20492659/50000000;2,40,59,59,17,460;2,40,60,60,18,152
28;C;2,3;20240057/50000000;2,40,60,60,18,152;2,40,60,60,14,408
29;C;0,2;20492659/50000000;2,40,1,59,47,100;4,4098,35,5929,4716,2324422
30;C;0,8;1474463/6250000;2,23,0,59,18,471;2,23,0,62,19,34
31;C;0,2;20492659/50000000;2,40,0,59,47,101;4,4098,35,5929,4716,2324422
32;C;0,8;1474463/6250000;2,23,0,59,17,541;2,23,0,62,19,34
33;C;2,3;20240057/50000000;4,4048,5929,35,4716,1324422;2,40,60,0,45,350
33;C;3,5;9896533/25000000;2,39,60,0,45,150;2,39,60,0,43,502
33;L;5,6;9896533/25000000,31123527/100000000;2,39,60,0,43,502;2,31,61,0,35,29
33;L;6,7;31123527/100000000,13117873/50000000;2,31,61,0,35,29;2,26,61,0,27,21
33;L;7,8;13117873/50000000,1474463/6250000;2,26,61,0,27,21;2,23,62,0,19,34
34;C;0,10;11559359/50000000;2,23,0,47,17,1813;2,23,0,50,18,1452
35;C;0,10;11559359/50000000;2,23,0,48,15,1846;2,23,0,50,18,1452
36;C;8,10;11559359/50000000;2,23,0,62,19,34;2,23,0,50,18,1452
37;C;0,2;20492659/50000000;4,4098,0,5853,4754,2501359;4,4098,0,5929,4816,419247
38;C;0,10;11559359/50000000;2,23,0,59,13,781;2,23,0,62,14,364
39;C;0,2;20492659/50000000;4,4098,0,5853,4761,2368149;4,4098,0,5929,4816,419247
40;C;0,10;11559359/50000000;2,23,0,59,12,831;2,23,0,62,14,364
41;L;2,3;42003931/100000000,20240057/50000000;4,4200,5929,0,4816,2459247;2,40,60,0,46,168
41;C;3,4;2477777/6250000;4,3964,5944,0,4577,2051006;2,39,60,0,45,150
41;C;4,5;9896533/25000000;2,39,60,0,45,150;2,39,60,0,45,150
41;L;5,6;9896533/25000000,31123527/100000000;2,39,60,0,45,150;10,3112352700,6003000000,0,3620155022,233376359032
41;L;6,7;31123527/100000000,13117873/50000000;10,3112352700,6003000000,0,3620155022,233376359032;10,2623574600,6053000000,0,2813599310,845535047800
41;L;7,8;13117873/50000000,1474463/6250000;10,2623574600,6053000000,0,2813599310,845535047800;4,2359,6103,0,2014,1820999
41;C;8,10;11559359/50000000;4,2311,6103,0,2014,860999;2,23,62,0,14,364
42;C;0,2;20492659/50000000;2,40,33,59,7,3332;2,40,33,60,7,3213
43;C;0,17;1360703/6250000;2,21,0,59,0,719;2,21,0,64,0,104
44;C;0,13;2257067/10000000;2,22,0,59,0,919;2,22,0,63,0,431
44;C;13,20;5372969/25000000;2,21,0,63,0,231;4,2149,0,6453,0,1338791
44;C;20,23;5372969/25000000;4,2149,0,6453,0,1338791;4,2149,0,6553,0,38191
44;L;23,24;5411173/25000000,4369263/20000000;4,2164,0,6553,0,338191;4,2184,0,6603,0,80391
44;L;24,25;4369263/20000000,11065707/50000000;4,2184,0,6603,0,80391;6,221314,0,665300,0,3910000
44;L;25,26;11065707/50000000,4493021/20000000;6,221314,0,665300,0,3910000;8,22465105,0,67030000,0,100000000
44;L;26,27;4493021/20000000,22668391/100000000;8,22465105,0,67030000,0,100000000;10,2266839100,0,6733259309,0,1077764842519
45;C;0,2;20492659/50000000;2,40,59,33,6,3358;2,40,60,33,7,3213
46;C;0,17;1360703/6250000;2,21,0,59,0,719;2,21,0,64,0,104
47;C;17,22;5372969/25000000;2,21,0,64,0,104;4,2149,0,6503,0,690991
47;C;22,23;10763273/50000000;4,2152,0,6503,0,750991;4,2152,0,6553,0,98191
47;L;23,24;5411173/25000000,4369263/20000000;4,2164,0,6553,0,338191;4,2184,0,6603,0,80391
47;L;24,25;4369263/20000000,11065707/50000000;4,2184,0,6603,0,80391;6,221314,0,665300,0,3910000
47;L;25,26;11065707/50000000,4493021/20000000;6,221314,0,665300,0,3910000;8,22465105,0,67030000,0,100000000
47;L;26,27;4493021/20000000,22668391/100000000;8,22465105,0,67030000,0,100000000;10,2266839100,0,6733259309,0,1077764842519
48;C;2,8;1474463/6250000;4,2359,5929,3257,609,677148;2,23,62,17,5,417
48;C;8,14;11093979/50000000;2,22,62,17,5,217;2,22,63,4,3,397
48;C;14,20;5372969/25000000;2,21,63,4,3,197;4,2149,6453,0,11,1338549
48;C;20,23;5372969/25000000;4,2149,6453,0,11,1338549;4,2149,6553,0,0,38191
48;L;23,24;5411173/25000000,4369263/20000000;4,2164,6553,0,0,338191;4,2184,6603,0,0,80391
48;L;24,25;4369263/20000000,11065707/50000000;4,2184,6603,0,0,80391;6,221314,665300,0,0,3910000
48;L;25,26;11065707/50000000,4493021/20000000;6,221314,665300,0,0,3910000;8,22465105,67030000,0,0,100000000
48;L;26,27;4493021/20000000,22668391/100000000;8,22465105,67030000,0,0,100000000;10,2266839100,6733259309,0,0,1077764842519
49;C;0,31;9461879/50000000;2,18,0,53,0,791;10,1892375800,0,6152033423,0,762290903071
50;C;17,24;5372969/25000000;2,21,0,64,0,104;2,21,0,63,0,231
50;C;24,27;4369263/20000000;2,21,0,63,0,231;2,21,0,62,0,356
50;C;27,29;409681/2000000;2,20,0,62,0,156;2,20,0,62,0,156
50;L;29,30;409681/2000000,18986101/100000000;2,20,0,62,0,156;4,1898,0,6153,0,100591
50;L;30,31;18986101/100000000,9461879/50000000;4,1898,0,6153,0,100591;10,1892375800,0,6152033423,0,762290903071
51;L;27,28;22668391/100000000,5509717/25000000;10,2266839100,0,6733259309,0,1077764842519;10,2203886800,0,6639106533,0,443476719911
51;L;28,29;5509717/25000000,409681/2000000;10,2203886800,0,6639106533,0,443476719911;8,20484050,0,64006327,0,103969071
51;L;29,30;409681/2000000,18986101/100000000;8,20484050,0,64006327,0,103969071;10,1898610100,0,6162158817,0,714069160511
51;L;30,31;18986101/100000000,9461879/50000000;10,1898610100,0,6162158817,0,714069160511;10,1892375800,0,6152033423,0,762290903071
52;C;0,2;20492659/50000000;2,40,0,20,48,2992;2,40,0,20,48,2992
53;C;0,31;9461879/50000000;2,18,0,20,11,2958;2,18,0,23,13,2733
54;C;0,2;20492659/50000000;2,40,0,20,48,2992;2,40,0,20,48,2992
55;C;0,31;9461879/50000000;2,18,0,20,6,3128;2,18,0,23,13,2733
56;C;2,5;9896533/25000000;2,39,20,0,48,2792;2,39,20,0,47,2982
56;C;5,7;13117873/50000000;2,26,20,0,47,382;2,26,21,0,44,887
56;C;7,9;23586521/100000000;2,23,21,0,44,287;2,23,21,0,42,631
56;C;9,16;21888723/100000000;2,21,21,0,42,231;2,21,22,0,34,1404
56;C;16,31;9461879/50000000;2,18,22,0,34,804;2,18,23,0,13,2733
57;C;0,15;5514191/25000000;2,22,2,59,3,897;2,22,2,63,3,409
58;C;0,15;5514191/25000000;2,22,0,59,0,919;2,22,2,63,3,409
59;C;0,31;9461879/50000000;2,18,0,20,0,3200;2,18,0,23,0,3071
60;C;0,31;9461879/50000000;2,18,0,20,0,3200;2,18,0,23,0,3071
61;C;15,23;5372969/25000000;2,21,2,63,3,209;2,21,0,44,0,2264
61;C;23,31;9461879/50000000;2,18,0,44,0,1664;2,18,0,23,0,3071
62;C;0,2;20492659/50000000;2,40,0,22,48,2908;2,40,0,23,48,2863
63;C;0,31;9461879/50000000;2,18,0,24,11,2782;2,18,0,28,13,2478
64;C;0,2;20492659/50000000;2,40,0,22,48,2908;2,40,0,23,48,2863
65;C;0,31;9461879/50000000;2,18,0,18,6,3204;2,18,0,28,13,2478
66;C;2,5;9896533/25000000;2,39,23,0,48,2663;2,39,23,0,47,2853
66;C;5,7;13117873/50000000;2,26,23,0,47,253;2,26,23,0,44,799
66;C;7,9;23586521/100000000;2,23,23,0,44,199;2,23,24,0,42,496
66;C;9,16;21888723/100000000;2,21,24,0,42,96;2,21,25,0,34,1263
66;C;16,31;9461879/50000000;2,18,25,0,34,663;2,18,28,0,13,2478
67;C;0,2;20492659/50000000;2,40,0,59,28,2951;2,40,0,60,29,2718
68;C;0,15;5514191/25000000;2,22,0,59,13,581;2,22,0,63,14,39
69;C;0,2;20492659/50000000;2,40,0,59,28,2951;2,40,0,60,29,2718
70;C;0,15;5514191/25000000;2,22,0,59,11,677;2,22,0,63,14,39
71;C;2,5;9896533/25000000;2,39,60,0,29,2518;2,39,60,0,28,2632
71;C;5,6;31123527/100000000;2,31,60,0,28,1032;2,31,61,0,26,1127
71;C;6,7;13117873/50000000;2,26,61,0,26,127;2,26,61,0,23,421
71;C;7,8;1474463/6250000;4,2359,6053,0,2293,25493;4,2359,6103,0,2088,1213903
71;C;8,11;23036857/100000000;4,2303,6103,0,2088,93903;2,23,62,0,19,34
71;C;11,13;2257067/10000000;4,2257,6153,0,1878,226823;4,2257,6203,0,1670,1084991
71;C;13,15;5514191/25000000;4,2205,6203,0,1670,44991;2,22,63,0,14,39
72;C;15,17;1360703/6250000;4,2177,0,6274,1379,373642;2,21,0,59,14,327
72;C;17,19;10770341/50000000;2,21,0,59,14,327;2,21,0,54,14,892
72;C;19,23;5372969/25000000;2,21,0,54,14,892;2,21,0,44,14,1872
72;C;23,31;9461879/50000000;2,18,0,44,14,1272;2,18,0,23,13,2733
73;C;0,2;20492659/50000000;2,40,0,59,29,2837;2,40,0,60,30,2600
74;C;0,2;20492659/50000000;2,40,0,59,29,2837;2,40,0,60,30,2600
75;C;0,17;1360703/6250000;2,21,0,59,0,719;2,21,0,64,0,104
76;C;2,5;9896533/25000000;2,39,60,0,30,2400;2,39,60,0,29,2518
76;C;5,6;31123527/100000000;2,31,60,0,29,918;2,31,61,0,27,1021
76;C;6,7;13117873/50000000;2,26,61,0,27,21;2,26,61,0,25,229
76;L;7,8;13117873/50000000,1474463/6250000;2,26,61,0,25,229;10,2359140800,6102587065,0,2229489448,716607996367
76;L;8,9;1474463/6250000,23586521/100000000;10,2359140800,6102587065,0,2229489448,716607996367;8,23586521,61030000,0,22278277,47822542
76;L;9,10;23586521/100000000,11559359/50000000;8,23586521,61030000,0,22278277,47822542;8,23118718,61450457,0,20586220,26714351
76;L;10,11;11559359/50000000,23036857/100000000;8,23118718,61450457,0,20586220,26714351;10,2303685700,6153000000,0,2026611021,539122675118
76;L;11,12;23036857/100000000,11388241/50000000;10,2303685700,6153000000,0,2026611021,539122675118;8,22776482,61798129,0,19187074,34736407
76;L;12,13;11388241/50000000,2257067/10000000;8,22776482,61798129,0,19187074,34736407;8,22570670,62030000,0,18253944,156889728
76;L;13,14;2257067/10000000,11093979/50000000;8,22570670,62030000,0,18253944,156889728;10,2218795800,6253000000,0,1624177748,285803296992
76;L;14,15;11093979/50000000,5514191/25000000;10,2218795800,6253000000,0,1624177748,285803296992;8,22056764,62732413,0,15427202,36099823
76;L;15,16;5514191/25000000,21888723/100000000;8,22056764,62732413,0,15427202,36099823;10,2188872300,6303000000,0,1422961111,353163291358
76;L;16,17;21888723/100000000,1360703/6250000;10,2188872300,6303000000,0,1422961111,353163291358;10,2177124800,6327805807,0,1323134293,954271859053
76;L;17,18;1360703/6250000,4334593/20000000;10,2177124800,6327805807,0,1323134293,954271859053;8,21672965,63530000,0,12217445,175343950
76;L;18,19;4334593/20000000,10770341/50000000;8,21672965,63530000,0,12217445,175343950;8,21540682,64030000,0,10205279,61064318
76;L;19,20;10770341/50000000,5372969/25000000;8,21540682,64030000,0,10205279,61064318;8,21491876,64530000,0,8193112,131510912
76;L;20,21;5372969/25000000,21514093/100000000;8,21491876,64530000,0,8193112,131510912;10,2151409300,6493958138,0,654482027,254571515498
76;L;21,22;21514093/100000000,10763273/50000000;10,2151409300,6493958138,0,654482027,254571515498;8,21526546,65030000,0,6180946,113090168
76;L;22,23;10763273/50000000,5411173/25000000;8,21526546,65030000,0,6180946,113090168;8,21644692,65530000,0,4168780,46623200
76;L;23,24;5411173/25000000,4369263/20000000;8,21644692,65530000,0,4168780,46623200;8,21846315,66030000,0,2156613,140736462
76;L;24,25;4369263/20000000,11065707/50000000;8,21846315,66030000,0,2156613,140736462;8,22131414,66530000,0,144447,170128382
76;L;25,26;11065707/50000000,4493021/20000000;8,22131414,66530000,0,144447,170128382;8,22465105,67030000,0,0,100000000
76;L;26,27;4493021/20000000,22668391/100000000;8,22465105,67030000,0,0,100000000;10,2266839100,6733259309,0,0,1077764842519
77;C;0,2;20492659/50000000;2,40,0,59,1,4517;2,40,0,60,1,4398
78;C;0,12;11388241/50000000;2,22,0,59,0,919;2,22,0,62,0,556
79;C;0,2;20492659/50000000;2,40,0,59,0,4519;2,40,0,60,1,4398
80;C;0,12;11388241/50000000;2,22,0,59,0,919;2,22,0,62,0,556
81;C;2,12;11388241/50000000;2,22,60,0,1,798;2,22,62,0,0,556
82;C;0,21;5372969/25000000;2,21,0,43,0,2351;2,21,0,47,0,1991
83;C;0,21;5372969/25000000;2,21,0,50,0,1700;2,21,0,47,0,1991
84;C;12,21;5372969/25000000;2,21,0,62,0,356;2,21,0,47,0,1991
85;C;0,2;20492659/50000000;2,40,0,16,29,6062;2,40,0,16,29,6062
86;C;0,21;5372969/25000000;2,21,0,16,9,3782;2,21,0,18,10,3676
87;C;0,2;20492659/50000000;2,40,0,16,28,6176;2,40,0,16,29,6062
88;C;0,21;5372969/25000000;2,21,0,16,6,3872;2,21,0,18,10,3676
89;C;2,21;5372969/25000000;2,21,16,0,29,2262;2,21,18,0,10,3676
90;C;0,2;20492659/50000000;2,40,1,52,1,5293;2,40,1,53,1,5188
91;C;0,21;5372969/25000000;2,21,0,16,0,3944;2,21,0,18,0,3876
92;C;0,2;20492659/50000000;2,40,0,53,0,5191;2,40,1,53,1,5188
93;C;0,21;5372969/25000000;2,21,0,16,0,3944;2,21,0,18,0,3876
94;C;2,21;5372969/25000000;2,21,1,53,1,1388;2,21,0,18,0,3876
95;C;0,2;20492659/50000000;2,40,0,19,29,5957;2,40,0,19,29,5957
96;C;0,21;5372969/25000000;2,21,0,19,9,3677;2,21,0,21,10,3559
97;C;0,2;20492659/50000000;2,40,0,18,28,6108;2,40,0,19,29,5957
98;C;0,21;5372969/25000000;2,21,0,15,6,3903;2,21,0,21,10,3559
99;C;2,21;5372969/25000000;2,21,19,0,29,2157;2,21,21,0,10,3559
100;C;0,2;20492659/50000000;2,40,0,52,10,5096;2,40,0,53,11,4949
101;C;0,2;20492659/50000000;2,40,0,53,10,4991;2,40,0,53,11,4949
102;C;2,21;5372969/25000000;2,21,0,53,11,1149;2,21,0,18,10,3676
103;C;0,2;20492659/50000000;2,40,0,59,8,4391;2,40,0,60,8,4272
104;C;0,2;20492659/50000000;2,40,0,59,8,4391;2,40,0,60,8,4272
105;C;2,12;11388241/50000000;2,22,60,0,8,672;2,22,62,0,0,556
MASS SLACK NUMERATOR 1158262466628245713254342806751382097278026452556132989300931622260105948063878830897377025897335969802328900189

BIN 6: PPC; (19/16,29/24]; gamma0=147/250; mass ceiling=48151389/50000000.
GAMMA 0=147/250;1=593/1000;2=13040212500/21896342081;3=628628175000/1052890625837;4=299/500;5=45865575000/76675656749;6=603/1000;7=76/125;8=613/1000;9=13190100000/21453750937;10=89033175000/144357747053;11=38258784375/61942407482;12=309/500;13=5845612500/9428100281;14=623/1000;15=157/250;16=10192350000/16200617081;17=633/1000;18=319/500;19=643/1000;20=81/125;21=5171118750/7930486003;22=653/1000;23=329/500;24=663/1000;25=167/250;26=106270237500/158147397053;27=673/1000;28=339/500;29=683/1000;30=86/125;31=7644262500/11104442081;32=693/1000;33=349/500;34=703/1000;35=177/250;36=713/1000;37=359/500;38=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40896196,41560992;1,2,41560992,41901187;2,3,41901187,40562334;3,4,40562334,39823270;4,5,39823270,39694950;5,6,39694950,31857815;6,7,31857815,27281743;7,8,27281743,23813708;8,9,23813708,23261418;9,10,23261418,23060405;10,11,23060405,22971616;11,12,22971616,22937798;12,13,22937798,22750122;13,14,22750122,22498272;14,15,22498272,22142564;15,16,22142564,22073583;16,17,22073583,21870675;17,18,21870675,21682605;18,19,21682605,21578354;19,20,21578354,21557922;20,21,21557922,21602918;21,22,21602918,21621309;22,23,21621309,21768515;23,24,21768515,21999540;24,25,21999540,22311200;25,26,22311200,22577155;26,27,22577155,22232499;27,28,22232499,20597755;28,29,20597755,19025430;29,30,19025430,17515522;30,31,17515522,17398366;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;237896540303/70147350000,5/13,21896342081/10791900000;-1350192129371
1;0,6,7;4/13,1,7;-2
3;0,3,7;79/104,3,1;-2
4;2,3,7;71/52,49/26,13/24;-125
5;2,3,8;397/312,56/39,13/24;-55
8;1,3,6;73/156,75/26,29/24;-73
9;1,4,10;12545160731/3597300000,3/2,21896342081/10791900000;-56918144567
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;11/6,1/3,13/24;-1
17;2,3,8;397/312,56/39,13/24;-55
19;0,3,13;151/156,2,1;-1
21;0,3,13;127/312,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;397/312,56/39,13/24;-55
26;1,3,12;151/156,44/13,29/24;-151
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;79/104,3,1;-2
31;2,3,7;123/52,49/26,17/24;-73
33;1,4,12;18299042081/3597300000,1/2,21896342081/10791900000;-89036894567
35;1,3,6;73/156,75/26,29/24;-73
36;1,4,10;18299042081/3597300000,1/2,21896342081/10791900000;-121155644567
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;18299042081/3597300000,1/2,21896342081/10791900000;-89036894567
45;1,4,13;248679447053/46764900000,5/13,21896342081/10791900000;-1350192129371
46;0,3,13;151/156,2,1;-1
48;0,3,13;127/312,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;151/156,44/13,29/24;-151
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;175/52,31/13,23/24;-73
60;0,1,12;1/2,3,1;-1
62;1,3,6;73/156,75/26,29/24;-73
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;7930486003/1348987500,1,21896342081/10791900000;-24799394567
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;151/156,2,1;-1
74;1,4,6;7930486003/1348987500,1,21896342081/10791900000;-24799394567
75;0,3,13;127/312,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;151/156,44/13,29/24;-151
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;5898587195332,969090586830936900000,86254152792,2888
6;1,4,12,3;47189530392,20267242382018700000,37156611028,56
7;11,4,2,3;37156611028,66927356390841300000,86254152792,200
11;8,4,6,3;5898587195332,80693458254026465625,61638690969,1906
14;5,4,2,3;61638690969,1116369153828871875,86254152792,30
15;1,4,12,3;47189530392,20267242382018700000,37156611028,56
16;11,4,2,3;37156611028,66927356390841300000,86254152792,200
18;1,4,13,3;47189530392,164439197216243100000,5898587195332,440
20;1,4,6,3;47189530392,11184580887376753125,61638690969,258
23;5,4,2,3;61638690969,1116369153828871875,86254152792,30
24;1,4,2,3;47189530392,132046605000000000000,86254152792,384
29;1,4,2,7,3;47189530392,99034953750000000000,197658082516,1196,10128
32;8,2,3;1196,92,1104
34;1,4,2,3;47189530392,99034953750000000000,318528730392,288
38;1,4,6,3;47189530392,39959170224014025000,71398623897,114
41;5,4,2,3;71398623897,2697975000,318528730392,6
43;1,4,2,3;47189530392,99034953750000000000,318528730392,288
44;8,2,3;1196,92,1104
47;1,4,6,3;47189530392,39959170224014025000,71398623897,114
50;5,4,2,3;71398623897,2697975000,318528730392,6
51;1,4,2,9,3;47189530392,99034953750000000000,197658082516,1196,10128
52;8,2,3;1196,92,1104
56;1,4,7,3;47189530392,197327036659491720000,81862059711744,2640
59;8,4,2,3;81862059711744,53853994545533640000,145140851496,2976
61;1,4,2,3;47189530392,24758738437500000000,145140851496,144
68;1,4,2,3;47189530392,24758738437500000000,145140851496,144
70;1,4,2,3;47189530392,24758738437500000000,145140851496,144
71;8,4,2,3;81862059711744,53853994545533640000,145140851496,2976
77;1,4,2,3;47189530392,24758738437500000000,145140851496,144
78;1,4,9,3;47189530392,197327036659491720000,81862059711744,2640
79;8,4,2,3;81862059711744,53853994545533640000,145140851496,2976
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;2,7
44;29;V;7,3
45;29;E;4,1
46;29;E;4,2
47;29;E;4,7
48;29;E;4,3
49;32;V;2,3
50;32;E;4,2
51;32;E;4,3
52;34;V;3,1
53;34;V;2,3
54;34;E;4,1
55;34;E;4,2
56;34;E;4,3
57;38;V;6,3
58;38;E;4,6
59;41;V;2,3
60;41;E;4,2
61;41;E;4,3
62;43;V;3,1
63;43;V;2,3
64;43;E;4,1
65;43;E;4,2
66;43;E;4,3
67;47;V;3,1
68;47;V;6,3
69;47;E;4,1
70;47;E;4,6
71;47;E;4,3
72;50;E;4,3
73;51;V;3,1
74;51;E;4,1
75;51;E;4,2
76;51;E;4,3
77;56;V;3,1
78;56;V;7,3
79;56;E;4,1
80;56;E;4,7
81;56;E;4,3
82;59;V;2,3
83;59;E;4,2
84;59;E;4,3
85;61;V;3,1
86;61;V;2,3
87;61;E;4,1
88;61;E;4,2
89;61;E;4,3
90;68;V;3,1
91;68;V;2,3
92;68;E;4,1
93;68;E;4,2
94;68;E;4,3
95;70;V;3,1
96;70;V;2,3
97;70;E;4,1
98;70;E;4,2
99;70;E;4,3
100;77;V;3,1
101;77;E;4,1
102;77;E;4,3
103;78;V;3,1
104;78;E;4,1
105;78;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:
2:V/3,5/0/0/3;V/2,3/1/0/13;E/4,5/2/0/3;E/4,2/3/0/13;E/4,3/4/3/13
6:V/3,1/5/0/2;V/12,3/6/0/5;E/4,1/7/0/2;E/4,12/8/0/5;E/4,3/9/2/5
7:V/3,11/6/0/5;V/2,3/10/0/13;E/4,11/8/0/5;E/4,2/11/0/13;E/4,3/12/5/13
11:V/3,8/0/0/3;V/6,3/13/0/9;E/4,8/2/0/3;E/4,6/14/0/9;E/4,3/4/3/9
14:V/3,5/13/0/9;V/2,3/15/0/13;E/4,5/14/0/9;E/4,2/16/0/13;E/4,3/17/9/13
15:V/3,1/18/0/2;V/12,3/19/0/5;E/4,1/20/0/2;E/4,12/21/0/5;E/4,3/22/2/5
16:V/3,11/19/0/5;V/2,3/23/0/13;E/4,11/21/0/5;E/4,2/24/0/13;E/4,3/25/5/13
18:V/3,1/26/0/2;V/13,3/0/0/3;E/4,1/27/0/2;E/4,13/2/0/3;E/4,3/28/2/3
20:V/3,1/29/0/2;V/6,3/30/0/9;E/4,1/31/0/2;E/4,6/32/0/9;E/4,3/33/2/9
23:V/3,5/30/0/9;V/2,3/34/0/13;E/4,5/32/0/9;E/4,2/35/0/13;E/4,3/36/9/13
24:V/3,1/37/0/2;V/2,3/38/0/13;E/4,1/39/0/2;E/4,2/40/0/13;E/4,3/41/2/13
29:V/3,1/42/0/2;V/2,7/43/0/10;V/7,3/44/0/26;E/4,1/45/0/2;E/4,2/46/0/10;E/4,7/47/10/26;E/4,3/48/2/26
32:V/3,8/44/0/26;V/8,2/43/0/10;V/2,3/49/0/31;E/4,8/47/10/26;E/4,2/50/10/31;E/4,3/51/26/31
34:V/3,1/52/0/2;V/2,3/53/0/31;E/4,1/54/0/2;E/4,2/55/0/31;E/4,3/56/2/31
38:V/3,1/42/0/2;V/6,3/57/0/16;E/4,1/45/0/2;E/4,6/58/0/16;E/4,3/48/2/16
40:V/2,3/53/0/31;E/4,2/55/0/31
41:V/3,5/57/0/16;V/2,3/59/0/31;E/4,5/58/0/16;E/4,2/60/0/31;E/4,3/61/16/31
43:V/3,1/62/0/2;V/2,3/63/0/31;E/4,1/64/0/2;E/4,2/65/0/31;E/4,3/66/2/31
44:V/3,8/44/0/26;V/8,2/43/0/10;V/2,3/49/0/31;E/4,8/47/10/26;E/4,2/50/10/31;E/4,3/51/26/31
47:V/3,1/67/0/2;V/6,3/68/0/16;E/4,1/69/0/2;E/4,6/70/0/16;E/4,3/71/2/16
50:V/3,5/68/0/16;V/2,3/53/0/31;E/4,5/70/0/16;E/4,2/55/0/31;E/4,3/72/16/31
51:V/3,1/73/0/2;V/2,9/43/0/10;V/9,3/44/0/26;E/4,1/74/0/2;E/4,2/75/0/10;E/4,9/47/10/26;E/4,3/76/2/26
52:V/3,8/44/0/26;V/8,2/43/0/10;V/2,3/49/0/31;E/4,8/47/10/26;E/4,2/50/10/31;E/4,3/51/26/31
56:V/3,1/77/0/2;V/7,3/78/0/11;E/4,1/79/0/2;E/4,7/80/0/11;E/4,3/81/2/11
59:V/3,8/78/0/11;V/2,3/82/0/21;E/4,8/80/0/11;E/4,2/83/0/21;E/4,3/84/11/21
61:V/3,1/85/0/2;V/2,3/86/0/21;E/4,1/87/0/2;E/4,2/88/0/21;E/4,3/89/2/21
67:V/2,3/86/0/21;E/4,2/88/0/21
68:V/3,1/90/0/2;V/2,3/91/0/21;E/4,1/92/0/2;E/4,2/93/0/21;E/4,3/94/2/21
70:V/3,1/95/0/2;V/2,3/96/0/21;E/4,1/97/0/2;E/4,2/98/0/21;E/4,3/99/2/21
71:V/3,8/78/0/11;V/2,3/82/0/21;E/4,8/80/0/11;E/4,2/83/0/21;E/4,3/84/11/21
77:V/3,1/100/0/2;V/2,3/86/0/21;E/4,1/101/0/2;E/4,2/88/0/21;E/4,3/102/2/21
78:V/3,1/103/0/2;V/9,3/78/0/11;E/4,1/104/0/2;E/4,9/80/0/11;E/4,3/105/2/11
79:V/3,8/78/0/11;V/2,3/82/0/21;E/4,8/80/0/11;E/4,2/83/0/21;E/4,3/84/11/21
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,3;20281167/50000000;2,40,59,59,13,700;2,40,60,60,14,408
1;C;0,13;11375061/50000000;2,22,0,59,1,917;2,22,0,63,1,429
2;C;0,3;20281167/50000000;2,40,59,59,12,750;2,40,60,60,14,408
3;C;0,13;11375061/50000000;2,22,0,59,0,919;2,22,0,63,1,429
4;C;3,5;793899/2000000;2,39,60,60,14,208;2,39,60,57,13,613
4;L;5,6;793899/2000000,6371563/20000000;2,39,60,57,13,613;2,31,61,41,10,598
4;C;6,7;27281743/100000000;4,2728,6030,4029,981,41537;2,27,61,24,8,975
4;C;7,8;5953427/25000000;2,23,61,24,8,175;2,23,62,8,5,642
4;C;8,13;11375061/50000000;2,22,62,8,5,442;2,22,63,0,1,429
5;C;0,1;10224049/25000000;4,4089,0,3278,5880,1885916;4,4089,0,3306,5930,520564
5;C;1,2;1298781/3125000;4,4156,0,3306,5930,1860564;4,4156,0,3320,5956,1149728
6;C;0,5;793899/2000000;2,39,0,25,59,213;4,3969,0,2493,5982,1596303
7;C;0,1;10224049/25000000;4,4089,0,3333,5880,1522311;4,4089,0,3325,5930,394575
7;C;1,2;1298781/3125000;4,4156,0,3325,5930,1734575;4,4156,0,3320,5956,1149728
8;C;0,5;793899/2000000;2,39,0,25,59,213;4,3969,0,2493,5982,1596303
9;L;2,3;41901187/100000000,20281167/50000000;4,4190,0,3320,5956,1829728;4,4056,0,2847,5971,1708909
9;C;3,4;3982327/10000000;4,3982,0,2847,5971,228909;4,3982,0,2548,5980,1626896
9;C;4,5;793899/2000000;4,3969,0,2548,5980,1366896;4,3969,0,2493,5982,1596303
10;C;0,13;11375061/50000000;2,22,0,25,26,2423;2,22,0,26,28,2156
11;C;0,13;11375061/50000000;2,22,0,25,25,2525;2,22,0,26,28,2156
12;L;5,6;793899/2000000,6371563/20000000;4,3969,2493,0,5982,1596303;4,3185,2513,0,5263,1986493
12;L;6,7;6371563/20000000,27281743/100000000;4,3185,2513,0,5263,1986493;2,27,26,0,46,492
12;C;7,8;5953427/25000000;4,2381,2534,0,4517,392266;2,23,26,0,38,1036
12;C;8,9;11630709/50000000;2,23,26,0,38,1036;2,23,26,0,35,1474
12;C;9,13;11375061/50000000;2,22,26,0,35,1274;2,22,26,0,28,2156
13;C;0,9;11630709/50000000;2,23,2,59,4,1083;2,23,2,62,4,720
14;C;0,9;11630709/50000000;2,23,0,59,0,1119;2,23,2,62,4,720
15;C;0,13;11375061/50000000;2,22,0,46,1,2282;2,22,0,49,1,1997
16;C;0,13;11375061/50000000;2,22,0,47,0,2191;2,22,0,49,1,1997
17;C;9,13;11375061/50000000;2,22,2,62,4,520;2,22,0,49,1,1997
18;L;0,1;10224049/25000000,1298781/3125000;4,4089,0,3542,5880,85436;4,4156,0,3572,5930,31016
18;L;1,2;1298781/3125000,41901187/100000000;4,4156,0,3572,5930,31016;10,4190118700,0,3587211719,5955429657,1284118789741
19;C;0,5;793899/2000000;2,39,0,28,59,54;8,39694950,0,27976555,59817649,106557573
20;L;0,1;10224049/25000000,1298781/3125000;8,40896196,0,35557827,58800000,139038071;8,41560992,0,35766161,59300000,127322079
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21;C;0,5;793899/2000000;2,39,0,27,59,109;8,39694950,0,27976555,59817649,106557573
22;L;2,3;41901187/100000000,20281167/50000000;10,4190118700,0,3587211719,5955429657,1284118789741;8,40562334,0,31354370,59704984,53022588
22;L;3,4;20281167/50000000,3982327/10000000;8,40562334,0,31354370,59704984,53022588;8,39823270,0,28505681,59800000,150726239
22;L;4,5;3982327/10000000,793899/2000000;8,39823270,0,28505681,59800000,150726239;8,39694950,0,27976555,59817649,106557573
23;C;0,13;11375061/50000000;2,22,0,31,26,2087;2,22,0,33,28,1743
24;C;0,13;11375061/50000000;2,22,0,29,25,2309;2,22,0,33,28,1743
25;L;5,6;793899/2000000,6371563/20000000;8,39694950,27976555,0,59817649,106557573;10,3185781500,2887395086,0,5262061350,315015407604
25;L;6,7;6371563/20000000,27281743/100000000;10,3185781500,2887395086,0,5262061350,315015407604;2,27,30,0,46,268
25;L;7,8;27281743/100000000,5953427/25000000;2,27,30,0,46,268;2,23,31,0,38,751
25;C;8,9;11630709/50000000;2,23,31,0,38,751;2,23,32,0,35,1126
25;C;9,13;11375061/50000000;2,22,32,0,35,926;2,22,33,0,28,1743
26;C;0,2;10224049/25000000;2,40,59,59,17,460;2,40,60,60,17,222
27;C;0,2;10224049/25000000;2,40,59,59,16,526;2,40,60,60,17,222
28;C;2,3;20281167/50000000;2,40,60,60,17,222;2,40,60,60,14,408
29;C;0,2;10224049/25000000;2,40,0,59,46,287;4,4089,0,5956,4638,3283976
30;C;0,9;11630709/50000000;2,23,0,59,17,541;2,23,0,62,18,108
31;C;0,2;10224049/25000000;2,40,0,59,47,101;4,4089,0,5956,4638,3283976
32;C;0,9;11630709/50000000;2,23,0,59,16,607;2,23,0,62,18,108
33;C;2,5;793899/2000000;4,3969,5956,0,4638,883976;2,39,60,0,43,502
33;L;5,6;793899/2000000,6371563/20000000;2,39,60,0,43,502;4,3185,6030,0,3504,2783068
33;L;6,7;6371563/20000000,27281743/100000000;4,3185,6030,0,3504,2783068;2,27,61,0,28,111
33;L;7,8;27281743/100000000,5953427/25000000;2,27,61,0,28,111;4,2381,6130,0,1983,2178522
33;C;8,9;11630709/50000000;4,2326,6130,0,1983,1078522;2,23,62,0,18,108
34;C;0,13;11375061/50000000;2,22,0,46,16,1772;2,22,0,49,17,1421
35;C;0,13;11375061/50000000;2,22,0,47,14,1799;2,22,0,49,17,1421
36;C;9,13;11375061/50000000;4,2275,0,6149,1706,1868927;2,22,0,49,17,1421
37;C;0,2;10224049/25000000;4,4089,0,5880,4711,2818558;4,4089,0,5956,4772,762096
38;C;0,13;11375061/50000000;2,22,0,59,12,631;2,22,0,63,13,93
39;C;0,2;10224049/25000000;4,4089,0,5880,4718,2686552;4,4089,0,5956,4772,762096
40;C;0,13;11375061/50000000;2,22,0,59,10,719;2,22,0,63,13,93
41;C;2,3;20281167/50000000;4,4056,5956,0,4772,102096;2,40,60,0,46,168
41;C;3,4;3982327/10000000;4,3982,5971,0,4553,2527541;2,39,60,0,45,150
41;C;4,5;793899/2000000;2,39,60,0,45,150;2,39,60,0,44,328
41;L;5,6;793899/2000000,6371563/20000000;2,39,60,0,44,328;4,3185,6030,0,3691,92138
41;L;6,7;6371563/20000000,27281743/100000000;4,3185,6030,0,3691,92138;8,27281743,60800000,0,29662338,8747512
41;L;7,8;27281743/100000000,5953427/25000000;8,27281743,60800000,0,29662338,8747512;8,23813708,61300000,0,22417086,110537208
41;L;8,9;5953427/25000000,11630709/50000000;8,23813708,61300000,0,22417086,110537208;4,2326,6149,0,1979,876917
41;C;9,10;4612081/20000000;4,2306,6149,0,1979,476917;2,23,62,0,17,178
41;C;10,13;11375061/50000000;4,2275,6168,0,1698,1689368;2,22,63,0,13,93
42;C;0,2;10224049/25000000;2,40,32,59,6,3423;2,40,32,60,6,3304
43;C;0,10;4612081/20000000;2,23,0,59,0,1119;2,23,0,62,0,756
44;C;0,13;11375061/50000000;2,22,0,59,0,919;2,22,0,63,0,431
44;C;13,19;10789177/50000000;2,21,0,63,0,231;4,2157,0,6430,0,1795100
44;C;19,22;10778961/50000000;4,2155,0,6430,0,1755100;4,2155,0,6530,0,459100
44;L;22,23;21621309/100000000,4353703/20000000;4,2162,0,6530,0,599100;4,2176,0,6580,0,223600
44;L;23,24;4353703/20000000,1099977/5000000;4,2176,0,6580,0,223600;4,2199,0,6630,0,23100
44;L;24,25;1099977/5000000,27889/125000;4,2199,0,6630,0,23100;6,223112,0,668000,0,0
44;L;25,26;27889/125000,4515431/20000000;6,223112,0,668000,0,0;10,2257715500,0,6719695644,0,452007425264
45;C;0,2;10224049/25000000;2,40,59,32,5,3445;2,40,60,32,6,3304
46;C;0,10;4612081/20000000;2,23,0,59,0,1119;2,23,0,62,0,756
47;C;10,18;4336521/20000000;2,21,0,62,0,356;2,21,0,64,0,104
47;C;18,22;10778961/50000000;2,21,0,64,0,104;4,2155,0,6530,0,459100
47;L;22,23;21621309/100000000,4353703/20000000;4,2162,0,6530,0,599100;4,2176,0,6580,0,223600
47;L;23,24;4353703/20000000,1099977/5000000;4,2176,0,6580,0,223600;4,2199,0,6630,0,23100
47;L;24,25;1099977/5000000,27889/125000;4,2199,0,6630,0,23100;6,223112,0,668000,0,0
47;L;25,26;27889/125000,4515431/20000000;6,223112,0,668000,0,0;10,2257715500,0,6719695644,0,452007425264
48;C;2,8;5953427/25000000;4,2381,5956,3165,575,1467589;2,23,62,16,4,468
48;C;8,14;703071/3125000;2,22,62,16,4,268;2,22,63,7,3,364
48;C;14,20;10778961/50000000;2,21,63,7,3,164;4,2155,6480,0,32,1107552
48;C;20,21;10778961/50000000;4,2155,6480,0,32,1107552;4,2155,6521,0,0,576559
48;C;21,22;10801459/50000000;4,2160,6521,0,0,676559;4,2160,6530,0,0,559100
48;L;22,23;21621309/100000000,4353703/20000000;4,2162,6530,0,0,599100;4,2176,6580,0,0,223600
48;L;23,24;4353703/20000000,1099977/5000000;4,2176,6580,0,0,223600;4,2199,6630,0,0,23100
48;L;24,25;1099977/5000000,27889/125000;4,2199,6630,0,0,23100;6,223112,668000,0,0,0
48;L;25,26;27889/125000,4515431/20000000;6,223112,668000,0,0,0;10,2257715500,6719695644,0,0,452007425264
49;C;0,31;8699183/50000000;2,17,0,51,0,799;8,17398366,0,58988754,0,101527484
50;C;10,20;10778961/50000000;2,21,0,62,0,356;2,21,0,61,0,479
50;C;20,25;10778961/50000000;2,21,0,61,0,479;2,21,0,60,0,600
50;C;25,28;4119551/20000000;2,20,0,60,0,400;2,20,0,60,0,400
50;C;28,29;1902543/10000000;2,19,0,60,0,200;2,19,0,60,0,200
50;L;29,30;1902543/10000000,8757761/50000000;2,19,0,60,0,200;4,1751,0,5901,0,198199
50;L;30,31;8757761/50000000,8699183/50000000;4,1751,0,5901,0,198199;8,17398366,0,58988754,0,101527484
51;L;26,27;4515431/20000000,22232499/100000000;10,2257715500,0,6719695644,0,452007425264;8,22232499,0,66682079,0,140237759
51;L;27,28;22232499/100000000,4119551/20000000;8,22232499,0,66682079,0,140237759;10,2059775500,0,6418372826,0,266464773724
51;L;28,29;4119551/20000000,1902543/10000000;10,2059775500,0,6418372826,0,266464773724;8,19025430,0,61685378,0,140997116
51;L;29,30;1902543/10000000,8757761/50000000;8,19025430,0,61685378,0,140997116;8,17515522,0,59187028,0,116527216
51;L;30,31;8757761/50000000,8699183/50000000;8,17515522,0,59187028,0,116527216;8,17398366,0,58988754,0,101527484
52;C;0,2;10224049/25000000;2,40,0,19,47,3221;2,40,0,19,48,3031
53;C;0,31;8699183/50000000;2,17,0,19,11,2797;2,17,0,22,12,2628
54;C;0,2;10224049/25000000;2,40,0,19,48,3031;2,40,0,19,48,3031
55;C;0,31;8699183/50000000;2,17,0,19,6,2967;2,17,0,22,12,2628
56;C;2,5;793899/2000000;2,39,19,0,48,2831;2,39,19,0,47,3021
56;C;5,7;27281743/100000000;2,27,19,0,47,621;2,27,19,0,43,1341
56;C;7,9;11630709/50000000;2,23,19,0,43,541;2,23,20,0,41,838
56;C;9,16;22073583/100000000;2,22,20,0,41,638;2,22,20,0,35,1550
56;C;16,31;8699183/50000000;2,17,20,0,35,550;2,17,22,0,12,2628
57;C;0,16;22073583/100000000;2,22,1,59,3,900;2,22,2,63,3,409
58;C;0,16;22073583/100000000;2,22,0,59,0,919;2,22,2,63,3,409
59;C;0,31;8699183/50000000;2,17,0,19,0,3039;2,17,0,22,0,2916
60;C;0,31;8699183/50000000;2,17,0,19,0,3039;2,17,0,22,0,2916
61;C;16,23;10778961/50000000;2,21,2,63,3,209;2,21,0,43,0,2351
61;C;23,31;8699183/50000000;2,17,0,43,0,1551;2,17,0,22,0,2916
62;C;0,2;10224049/25000000;2,40,0,22,47,3098;2,40,0,22,48,2908
63;C;0,31;8699183/50000000;2,17,0,24,11,2582;2,17,0,28,12,2328
64;C;0,2;10224049/25000000;2,40,0,22,48,2908;2,40,0,22,48,2908
65;C;0,31;8699183/50000000;2,17,0,18,6,3004;2,17,0,28,12,2328
66;C;2,5;793899/2000000;2,39,22,0,48,2708;2,39,22,0,47,2898
66;C;5,7;27281743/100000000;2,27,22,0,47,498;2,27,23,0,43,1173
66;C;7,9;11630709/50000000;2,23,23,0,43,373;2,23,23,0,41,709
66;C;9,16;22073583/100000000;2,22,23,0,41,509;2,22,24,0,35,1374
66;C;16,31;8699183/50000000;2,17,24,0,35,374;2,17,28,0,12,2328
67;C;0,2;10224049/25000000;2,40,0,59,27,3061;2,40,0,60,28,2832
68;C;0,16;22073583/100000000;2,22,0,59,13,581;2,22,0,63,13,93
69;C;0,2;10224049/25000000;2,40,0,59,27,3061;2,40,0,60,28,2832
70;C;0,16;22073583/100000000;2,22,0,59,10,719;2,22,0,63,13,93
71;C;2,5;793899/2000000;2,39,60,0,28,2632;2,39,60,0,26,2848
71;C;5,7;27281743/100000000;2,27,60,0,26,448;2,27,61,0,22,711
71;C;7,9;11630709/50000000;6,232614,608000,0,218528,55026432;2,23,62,0,19,34
71;C;9,12;11468899/50000000;4,2293,6149,0,1900,829799;4,2293,6180,0,1766,1430088
71;C;12,14;703071/3125000;4,2249,6180,0,1766,550088;4,2249,6230,0,1556,1324828
71;C;14,16;22073583/100000000;4,2207,6230,0,1556,484828;2,22,63,0,13,93
72;C;16,23;10778961/50000000;4,2155,0,6292,1299,135934;2,21,0,43,13,2013
72;C;23,31;8699183/50000000;2,17,0,43,13,1213;2,17,0,22,12,2628
73;C;0,2;10224049/25000000;2,40,0,59,29,2837;2,40,0,60,29,2718
74;C;0,2;10224049/25000000;2,40,0,59,29,2837;2,40,0,60,29,2718
75;C;0,10;4612081/20000000;2,23,0,59,0,1119;2,23,0,62,0,756
76;C;2,5;793899/2000000;2,39,60,0,29,2518;2,39,60,0,28,2632
76;C;5,6;6371563/20000000;2,31,60,0,28,1032;2,31,61,0,26,1127
76;C;6,7;27281743/100000000;2,27,61,0,26,327;2,27,61,0,24,527
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76;L;8,9;5953427/25000000,11630709/50000000;4,2381,6130,0,2162,694612;10,2326141800,6148155649,0,2088422620,36214059999
76;L;9,10;11630709/50000000,4612081/20000000;10,2326141800,6148155649,0,2088422620,36214059999;10,2306040500,6167537027,0,2010260634,1387363837359
76;L;10,11;4612081/20000000,717863/3125000;10,2306040500,6167537027,0,2010260634,1387363837359;8,22971616,61765092,0,19740777,57104078
76;L;11,12;717863/3125000,11468899/50000000;8,22971616,61765092,0,19740777,57104078;10,2293779800,6180000000,0,1959999463,210079423262
76;L;12,13;11468899/50000000,11375061/50000000;10,2293779800,6180000000,0,1959999463,210079423262;8,22750122,62002019,0,18785286,99720047
76;L;13,14;11375061/50000000,703071/3125000;8,22750122,62002019,0,18785286,99720047;8,22498272,62300000,0,17583575,180438750
76;L;14,15;703071/3125000,5535641/25000000;8,22498272,62300000,0,17583575,180438750;8,22142564,62800000,0,15567156,108143328
76;L;15,16;5535641/25000000,22073583/100000000;8,22142564,62800000,0,15567156,108143328;8,22073583,62913345,0,15110056,36264703
76;L;16,17;22073583/100000000,874827/4000000;8,22073583,62913345,0,15110056,36264703;8,21870675,63300000,0,13550736,107716608
76;L;17,18;874827/4000000,4336521/20000000;8,21870675,63300000,0,13550736,107716608;8,21682605,63800000,0,11534316,108824288
76;L;18,19;4336521/20000000,10789177/50000000;8,21682605,63800000,0,11534316,108824288;8,21578354,64300000,0,9517897,73394782
76;L;19,20;10789177/50000000,10778961/50000000;8,21578354,64300000,0,9517897,73394782;8,21557922,64800000,0,7501477,85636942
76;L;20,21;10778961/50000000,10801459/50000000;8,21557922,64800000,0,7501477,85636942;8,21602918,65205572,0,5865871,94975534
76;L;21,22;10801459/50000000,21621309/100000000;8,21602918,65205572,0,5865871,94975534;8,21621309,65300000,0,5485057,99413502
76;L;22,23;21621309/100000000,4353703/20000000;8,21621309,65300000,0,5485057,99413502;8,21768515,65800000,0,3468637,114724462
76;L;23,24;4353703/20000000,1099977/5000000;8,21768515,65800000,0,3468637,114724462;8,21999540,66300000,0,1452218,125760952
76;L;24,25;1099977/5000000,27889/125000;8,21999540,66300000,0,1452218,125760952;6,223112,668000,0,0,0
76;L;25,26;27889/125000,4515431/20000000;6,223112,668000,0,0,0;10,2257715500,6719695644,0,0,452007425264
77;C;0,2;10224049/25000000;2,40,0,59,1,4517;2,40,0,60,1,4398
78;C;0,11;717863/3125000;2,22,0,59,0,919;2,22,0,62,0,556
79;C;0,2;10224049/25000000;2,40,0,59,0,4519;2,40,0,60,1,4398
80;C;0,11;717863/3125000;2,22,0,59,0,919;2,22,0,62,0,556
81;C;2,11;717863/3125000;2,22,60,0,1,798;2,22,62,0,0,556
82;C;0,21;10778961/50000000;2,21,0,41,0,2519;2,21,0,45,0,2175
83;C;0,21;10778961/50000000;2,21,0,49,0,1799;2,21,0,45,0,2175
84;C;11,21;10778961/50000000;2,21,0,62,0,356;2,21,0,45,0,2175
85;C;0,2;10224049/25000000;2,40,0,15,28,6207;2,40,0,15,28,6207
86;C;0,21;10778961/50000000;2,21,0,15,8,3847;2,21,0,17,9,3749
87;C;0,2;10224049/25000000;2,40,0,15,28,6207;2,40,0,15,28,6207
88;C;0,21;10778961/50000000;2,21,0,15,5,3925;2,21,0,17,9,3749
89;C;2,21;10778961/50000000;2,21,15,0,28,2407;2,21,17,0,9,3749
90;C;0,2;10224049/25000000;2,40,0,52,1,5294;2,40,0,52,1,5294
91;C;0,21;10778961/50000000;2,21,0,15,0,3975;2,21,0,17,0,3911
92;C;0,2;10224049/25000000;2,40,0,52,0,5296;2,40,0,52,1,5294
93;C;0,21;10778961/50000000;2,21,0,15,0,3975;2,21,0,17,0,3911
94;C;2,21;10778961/50000000;2,21,0,52,1,1494;2,21,0,17,0,3911
95;C;0,2;10224049/25000000;2,40,0,19,28,6071;2,40,0,19,28,6071
96;C;0,21;10778961/50000000;2,21,0,19,8,3711;2,21,0,22,9,3554
97;C;0,2;10224049/25000000;2,40,0,18,28,6108;2,40,0,19,28,6071
98;C;0,21;10778961/50000000;2,21,0,15,5,3925;2,21,0,22,9,3554
99;C;2,21;10778961/50000000;2,21,19,0,28,2271;2,21,22,0,9,3554
100;C;0,2;10224049/25000000;2,40,0,52,10,5096;2,40,0,52,10,5096
101;C;0,2;10224049/25000000;2,40,0,52,10,5096;2,40,0,52,10,5096
102;C;2,21;10778961/50000000;2,21,0,52,10,1296;2,21,0,17,9,3749
103;C;0,2;10224049/25000000;2,40,0,59,8,4391;2,40,0,60,8,4272
104;C;0,2;10224049/25000000;2,40,0,59,7,4421;2,40,0,60,8,4272
105;C;2,11;717863/3125000;2,22,60,0,8,672;2,22,62,0,0,556
MASS SLACK NUMERATOR 1174060683780787216657620030708986553514394711965380509999961930634855275453733100213938078945001607002873457

BIN 7: PPC; (29/24,59/48]; gamma0=5907/10000; mass ceiling=48669529/50000000.
GAMMA 0=5907/10000;1=5957/10000;2=13265043750/22177592081;3=1292330025000/2155292144599;4=6007/10000;5=94429125000/157159843723;6=89033175000/148013997053;7=6057/10000;8=6107/10000;9=6157/10000;10=315812962500/511569516631;11=27579300000/44552011949;12=6207/10000;13=6070443750/9709350281;14=6257/10000;15=6307/10000;16=10492125000/16631754581;17=6357/10000;18=6407/10000;19=6457/10000;20=6507/10000;21=5283534375/8071111003;22=6557/10000;23=6607/10000;24=6657/10000;25=6707/10000;26=111141581250/165700722053;27=6757/10000;28=6807/10000;29=6857/10000;30=6907/10000;31=7869093750/11385692081;32=6957/10000;33=7007/10000;34=7057/10000;35=7107/10000;36=7157/10000;37=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40812596,41472892;1,2,41472892,41795501;2,3,41795501,40638097;3,4,40638097,39891190;4,5,39891190,39797211;5,6,39797211,38728921;6,7,38728921,32462218;7,8,32462218,27962713;8,9,27962713,24649564;9,10,24649564,23755714;10,11,23755714,22989327;11,12,22989327,22833637;12,13,22833637,22458120;13,14,22458120,22421976;14,15,22421976,22094593;15,16,22094593,22086132;16,17,22086132,21851487;17,18,21851487,21692658;18,19,21692658,21618106;19,20,21618106,21627832;20,21,21627832,21694463;21,22,21694463,21721834;22,23,21721834,21900114;23,24,21900114,22162671;24,25,22162671,22491925;25,26,22491925,22494397;26,27,22494397,20789269;27,28,20789269,19139428;28,29,19139428,17557788;29,30,17557788,16044347;30,31,16044347,15914777;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;241552790303/70147350000,5/13,22177592081/10791900000;-387814824497357
1;0,6,7;4/13,1,7;-2
3;0,3,7;145/208,3,1;-2
4;2,3,7;155/104,49/26,9/16;-79
5;2,3,8;859/624,56/39,9/16;-97
8;1,3,6;133/312,75/26,59/48;-133
9;1,4,10;12826410731/3597300000,3/2,22177592081/10791900000;-16687928807489
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;23/12,1/3,9/16;-1
17;2,3,8;859/624,56/39,9/16;-97
19;0,3,13;289/312,2,1;-1
21;0,3,13;241/624,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;859/624,56/39,9/16;-97
26;1,3,12;289/312,44/13,59/48;-289
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;145/208,3,1;-2
31;2,3,7;259/104,49/26,35/48;-133
33;1,4,12;18580292081/3597300000,1/2,22177592081/10791900000;-25681178807489
35;1,3,6;133/312,75/26,59/48;-133
36;1,4,10;18580292081/3597300000,1/2,22177592081/10791900000;-34674428807489
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;18580292081/3597300000,1/2,22177592081/10791900000;-25681178807489
45;1,4,13;252335697053/46764900000,5/13,22177592081/10791900000;-387814824497357
46;0,3,13;289/312,2,1;-1
48;0,3,13;241/624,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;289/312,44/13,59/48;-289
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;363/104,31/13,47/48;-133
60;0,1,12;1/2,3,1;-1
62;1,3,6;133/312,75/26,59/48;-133
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;8071111003/1348987500,1,22177592081/10791900000;-7694678807489
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;289/312,2,1;-1
74;1,4,6;8071111003/1348987500,1,22177592081/10791900000;-7694678807489
75;0,3,13;241/624,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;289/312,44/13,59/48;-289
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;3327818898797588,1929283212468239756100000,17873628747376,3920
6;1,4,12,3;26358417240528,37022768375819820300000,21264070837652,208
7;11,4,2,3;21264070837652,133474977162941519700000,17873628747376,272
11;8,4,6,3;3327818898797588,158859109529228892065625,37872796251771,7676
14;5,4,2,3;37872796251771,2403460913713267471875,17873628747376,44
15;1,4,12,3;26358417240528,37022768375819820300000,21264070837652,208
16;11,4,2,3;21264070837652,133474977162941519700000,17873628747376,272
18;1,4,13,3;26358417240528,287187479535657663900000,3327818898797588,1552
20;1,4,6,3;26358417240528,21668557286795608153125,37872796251771,1020
23;5,4,2,3;37872796251771,2403460913713267471875,17873628747376,44
24;1,4,2,3;26358417240528,258811345800000000000000,17873628747376,512
29;1,4,2,7,3;26358417240528,194108509350000000000000,1940978110052,3068,39264
32;8,2,3;3068,236,5664
34;1,4,2,3;26358417240528,194108509350000000000000,182970470040528,1152
38;1,4,6,3;26358417240528,4487894330550874425000,1178378062947,444
41;5,4,2,3;1178378062947,2697975000,182970470040528,12
43;1,4,2,3;26358417240528,194108509350000000000000,182970470040528,1152
44;8,2,3;3068,236,5664
47;1,4,6,3;26358417240528,4487894330550874425000,1178378062947,444
50;5,4,2,3;1178378062947,2697975000,182970470040528,12
51;1,4,2,9,3;26358417240528,194108509350000000000000,1940978110052,3068,39264
52;8,2,3;3068,236,5664
56;1,4,7,3;26358417240528,344624975442789196680000,42522008961333096,9312
59;8,4,2,3;42522008961333096,125097722732843237160000,82548656884464,13152
61;1,4,2,3;26358417240528,48527127337500000000000,82548656884464,576
68;1,4,2,3;26358417240528,48527127337500000000000,82548656884464,576
70;1,4,2,3;26358417240528,48527127337500000000000,82548656884464,576
71;8,4,2,3;42522008961333096,125097722732843237160000,82548656884464,13152
77;1,4,2,3;26358417240528,48527127337500000000000,82548656884464,576
78;1,4,9,3;26358417240528,344624975442789196680000,42522008961333096,9312
79;8,4,2,3;42522008961333096,125097722732843237160000,82548656884464,13152
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;2,7
44;29;V;7,3
45;29;E;4,1
46;29;E;4,2
47;29;E;4,7
48;29;E;4,3
49;32;V;2,3
50;32;E;4,2
51;32;E;4,3
52;34;V;3,1
53;34;V;2,3
54;34;E;4,1
55;34;E;4,2
56;34;E;4,3
57;38;V;6,3
58;38;E;4,6
59;41;V;2,3
60;41;E;4,2
61;41;E;4,3
62;43;V;3,1
63;43;V;2,3
64;43;E;4,1
65;43;E;4,2
66;43;E;4,3
67;47;V;3,1
68;47;V;6,3
69;47;E;4,1
70;47;E;4,6
71;47;E;4,3
72;50;E;4,3
73;51;V;3,1
74;51;E;4,1
75;51;E;4,2
76;51;E;4,3
77;56;V;3,1
78;56;V;7,3
79;56;E;4,1
80;56;E;4,7
81;56;E;4,3
82;59;V;2,3
83;59;E;4,2
84;59;E;4,3
85;61;V;3,1
86;61;V;2,3
87;61;E;4,1
88;61;E;4,2
89;61;E;4,3
90;68;V;3,1
91;68;V;2,3
92;68;E;4,1
93;68;E;4,2
94;68;E;4,3
95;70;V;3,1
96;70;V;2,3
97;70;E;4,1
98;70;E;4,2
99;70;E;4,3
100;77;V;3,1
101;77;E;4,1
102;77;E;4,3
103;78;V;3,1
104;78;E;4,1
105;78;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:
2:V/3,5/0/0/3;V/2,3/1/0/13;E/4,5/2/0/3;E/4,2/3/0/13;E/4,3/4/3/13
6:V/3,1/5/0/2;V/12,3/6/0/5;E/4,1/7/0/2;E/4,12/8/0/5;E/4,3/9/2/5
7:V/3,11/6/0/5;V/2,3/10/0/13;E/4,11/8/0/5;E/4,2/11/0/13;E/4,3/12/5/13
11:V/3,8/0/0/3;V/6,3/13/0/11;E/4,8/2/0/3;E/4,6/14/0/11;E/4,3/4/3/11
14:V/3,5/13/0/11;V/2,3/15/0/13;E/4,5/14/0/11;E/4,2/16/0/13;E/4,3/17/11/13
15:V/3,1/18/0/2;V/12,3/19/0/5;E/4,1/20/0/2;E/4,12/21/0/5;E/4,3/22/2/5
16:V/3,11/19/0/5;V/2,3/23/0/13;E/4,11/21/0/5;E/4,2/24/0/13;E/4,3/25/5/13
18:V/3,1/26/0/2;V/13,3/0/0/3;E/4,1/27/0/2;E/4,13/2/0/3;E/4,3/28/2/3
20:V/3,1/29/0/2;V/6,3/30/0/11;E/4,1/31/0/2;E/4,6/32/0/11;E/4,3/33/2/11
23:V/3,5/30/0/11;V/2,3/34/0/13;E/4,5/32/0/11;E/4,2/35/0/13;E/4,3/36/11/13
24:V/3,1/37/0/2;V/2,3/38/0/13;E/4,1/39/0/2;E/4,2/40/0/13;E/4,3/41/2/13
29:V/3,1/42/0/2;V/2,7/43/0/6;V/7,3/44/0/26;E/4,1/45/0/2;E/4,2/46/0/6;E/4,7/47/6/26;E/4,3/48/2/26
32:V/3,8/44/0/26;V/8,2/43/0/6;V/2,3/49/0/31;E/4,8/47/6/26;E/4,2/50/6/31;E/4,3/51/26/31
34:V/3,1/52/0/2;V/2,3/53/0/31;E/4,1/54/0/2;E/4,2/55/0/31;E/4,3/56/2/31
38:V/3,1/42/0/2;V/6,3/57/0/16;E/4,1/45/0/2;E/4,6/58/0/16;E/4,3/48/2/16
40:V/2,3/53/0/31;E/4,2/55/0/31
41:V/3,5/57/0/16;V/2,3/59/0/31;E/4,5/58/0/16;E/4,2/60/0/31;E/4,3/61/16/31
43:V/3,1/62/0/2;V/2,3/63/0/31;E/4,1/64/0/2;E/4,2/65/0/31;E/4,3/66/2/31
44:V/3,8/44/0/26;V/8,2/43/0/6;V/2,3/49/0/31;E/4,8/47/6/26;E/4,2/50/6/31;E/4,3/51/26/31
47:V/3,1/67/0/2;V/6,3/68/0/16;E/4,1/69/0/2;E/4,6/70/0/16;E/4,3/71/2/16
50:V/3,5/68/0/16;V/2,3/53/0/31;E/4,5/70/0/16;E/4,2/55/0/31;E/4,3/72/16/31
51:V/3,1/73/0/2;V/2,9/43/0/6;V/9,3/44/0/26;E/4,1/74/0/2;E/4,2/75/0/6;E/4,9/47/6/26;E/4,3/76/2/26
52:V/3,8/44/0/26;V/8,2/43/0/6;V/2,3/49/0/31;E/4,8/47/6/26;E/4,2/50/6/31;E/4,3/51/26/31
56:V/3,1/77/0/2;V/7,3/78/0/10;E/4,1/79/0/2;E/4,7/80/0/10;E/4,3/81/2/10
59:V/3,8/78/0/10;V/2,3/82/0/21;E/4,8/80/0/10;E/4,2/83/0/21;E/4,3/84/10/21
61:V/3,1/85/0/2;V/2,3/86/0/21;E/4,1/87/0/2;E/4,2/88/0/21;E/4,3/89/2/21
67:V/2,3/86/0/21;E/4,2/88/0/21
68:V/3,1/90/0/2;V/2,3/91/0/21;E/4,1/92/0/2;E/4,2/93/0/21;E/4,3/94/2/21
70:V/3,1/95/0/2;V/2,3/96/0/21;E/4,1/97/0/2;E/4,2/98/0/21;E/4,3/99/2/21
71:V/3,8/78/0/10;V/2,3/82/0/21;E/4,8/80/0/10;E/4,2/83/0/21;E/4,3/84/10/21
77:V/3,1/100/0/2;V/2,3/86/0/21;E/4,1/101/0/2;E/4,2/88/0/21;E/4,3/102/2/21
78:V/3,1/103/0/2;V/9,3/78/0/10;E/4,1/104/0/2;E/4,9/80/0/10;E/4,3/105/2/10
79:V/3,8/78/0/10;V/2,3/82/0/21;E/4,8/80/0/10;E/4,2/83/0/21;E/4,3/84/10/21
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,3;40638097/100000000;2,40,60,60,13,462;2,40,60,60,13,462
1;C;0,13;561453/2500000;2,22,0,60,1,798;2,22,0,63,1,429
2;C;0,3;40638097/100000000;2,40,60,60,11,558;2,40,60,60,13,462
3;C;0,13;561453/2500000;2,22,0,60,0,800;2,22,0,63,1,429
4;C;3,5;39797211/100000000;2,39,60,60,13,262;2,39,61,57,12,542
4;C;5,6;38728921/100000000;2,38,61,57,12,342;2,38,61,55,12,566
4;L;6,7;38728921/100000000,16231109/50000000;2,38,61,55,12,566;2,32,61,42,10,715
4;C;7,8;27962713/100000000;4,2796,6057,4154,947,183417;2,27,62,27,8,699
4;C;8,10;11877857/50000000;4,2375,6107,2642,721,2184705;2,23,62,7,5,657
4;C;10,13;561453/2500000;2,22,62,7,5,457;2,22,63,0,1,429
5;C;0,2;10203149/25000000;4,4081,0,3093,5907,2268053;4,4081,0,3132,5982,241928
6;C;0,5;39797211/100000000;2,39,0,23,60,71;4,3979,0,2337,6009,1902269
7;C;0,2;10203149/25000000;4,4081,0,3148,5907,1924798;4,4081,0,3132,5982,241928
8;C;0,5;39797211/100000000;2,39,0,23,60,71;4,3979,0,2337,6009,1902269
9;L;2,3;41795501/100000000,40638097/100000000;4,4179,0,3132,5982,2201928;2,40,0,27,60,71
9;C;3,5;39797211/100000000;4,3979,0,2700,5997,361982;4,3979,0,2337,6009,1902269
10;C;0,13;561453/2500000;2,22,0,23,25,2621;2,22,0,25,27,2317
11;C;0,13;561453/2500000;2,22,0,23,25,2621;2,22,0,25,27,2317
12;L;5,6;39797211/100000000,38728921/100000000;4,3979,2337,0,6009,1902269;4,3872,2340,0,5916,1966288
12;L;6,7;38728921/100000000,16231109/50000000;4,3872,2340,0,5916,1966288;4,3246,2356,0,5339,2359422
12;L;7,8;16231109/50000000,27962713/100000000;4,3246,2356,0,5339,2359422;2,27,24,0,47,406
12;C;8,9;6162391/25000000;4,2464,2375,0,4649,412973;2,24,24,0,40,1024
12;C;9,13;561453/2500000;2,22,24,0,40,624;2,22,25,0,27,2317
13;C;0,11;22989327/100000000;2,22,2,60,4,764;2,22,2,62,4,520
14;C;0,11;22989327/100000000;2,22,0,60,0,800;2,22,2,62,4,520
15;C;0,13;561453/2500000;2,22,0,45,1,2373;2,22,0,47,1,2189
16;C;0,13;561453/2500000;2,22,0,46,0,2284;2,22,0,47,1,2189
17;C;11,13;561453/2500000;2,22,2,62,4,520;2,22,0,47,1,2189
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100;C;0,2;10203149/25000000;2,40,0,51,9,5237;2,40,0,52,9,5134
101;C;0,2;10203149/25000000;2,40,0,52,9,5134;2,40,0,52,9,5134
102;C;2,21;10809053/50000000;2,21,0,52,9,1334;2,21,0,16,9,3782
103;C;0,2;10203149/25000000;2,40,0,60,7,4302;2,40,0,60,7,4302
104;C;0,2;10203149/25000000;2,40,0,60,7,4302;2,40,0,60,7,4302
105;C;2,10;11877857/50000000;2,23,60,0,7,902;2,23,62,0,0,756
MASS SLACK NUMERATOR 4095216768563965772617233910315070072483857725420871835099958405653478704037386937293343516154716175248419

BIN 8: PPC; (59/48,5/4]; gamma0=5933/10000; mass ceiling=98305529/100000000.
GAMMA 0=5933/10000;1=5983/10000;2=13489875000/22458842081;3=331850925000/551200759381;4=6033/10000;5=24281775000/40242093487;6=6083/10000;7=6133/10000;8=162777825000/263799886703;9=6183/10000;10=3597300000/5774565253;11=6233/10000;12=6283/10000;13=6295275000/9990600281;14=10791900000/17062892081;15=6333/10000;16=6383/10000;17=6433/10000;18=6483/10000;19=6533/10000;20=5395950000/8211736003;21=6583/10000;22=6633/10000;23=6683/10000;24=116012925000/173254047053;25=6733/10000;26=6783/10000;27=6833/10000;28=6883/10000;29=6933/10000;30=8093925000/11666942081;31=6983/10000;32=7033/10000;33=7083/10000;34=7133/10000;35=7183/10000;36=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40722434,41378400;1,2,41378400,41688376;2,3,41688376,40708036;3,4,40708036,39945822;4,5,39945822,39893572;5,6,39893572,32887595;6,7,32887595,28450758;7,8,28450758,26003240;8,9,26003240,25284608;9,10,25284608,23033269;10,11,23033269,22893592;11,12,22893592,22350893;12,13,22350893,22232109;13,14,22232109,22094910;14,15,22094910,22051506;15,16,22051506,21836958;16,17,21836958,21707249;17,18,21707249,21662379;18,19,21662379,21702349;19,20,21702349,21789531;20,21,21789531,21827157;21,22,21827157,22036805;22,23,22036805,22331245;23,24,22331245,22418987;24,25,22418987,21093510;25,26,21093510,19361158;26,27,19361158,17703023;27,28,17703023,16119105;28,29,16119105,14609404;29,30,14609404,14477575;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;245209040303/70147350000,5/13,22458842081/10791900000;-1192633030865449
1;0,6,7;4/13,1,7;-2
3;0,3,7;33/52,3,1;-2
4;2,3,7;21/13,49/26,7/12;-28
5;2,3,8;77/52,56/39,7/12;-7
8;1,3,6;5/13,75/26,5/4;-5
9;1,4,10;13107660731/3597300000,3/2,22458842081/10791900000;-52309060066573
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;2,1/3,7/12;-1
17;2,3,8;77/52,56/39,7/12;-7
19;0,3,13;23/26,2,1;-1
21;0,3,13;19/52,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;77/52,56/39,7/12;-7
26;1,3,12;23/26,44/13,5/4;-23
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;33/52,3,1;-2
31;2,3,7;34/13,49/26,3/4;-5
33;1,4,12;18861542081/3597300000,1/2,22458842081/10791900000;-79288810066573
35;1,3,6;5/13,75/26,5/4;-5
36;1,4,10;18861542081/3597300000,1/2,22458842081/10791900000;-106268560066573
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;18861542081/3597300000,1/2,22458842081/10791900000;-79288810066573
45;1,4,13;255991947053/46764900000,5/13,22458842081/10791900000;-1192633030865449
46;0,3,13;23/26,2,1;-1
48;0,3,13;19/52,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;23/26,44/13,5/4;-23
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;47/13,31/13,1;-5
60;0,1,12;1/2,3,1;-1
62;1,3,6;5/13,75/26,5/4;-5
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;8211736003/1348987500,1,22458842081/10791900000;-25329310066573
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;23/26,2,1;-1
74;1,4,6;8211736003/1348987500,1,22458842081/10791900000;-25329310066573
75;0,3,13;19/52,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;23/26,44/13,5/4;-23
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;2508227518811404,5877689656739198627700000,44142222393924,748
6;1,4,12,3;6601759733708,102991382247516947100000,16245637366516,4
7;11,4,2,3;16245637366516,407335702206861432900000,44142222393924,52
11;8,4,6,3;2508227518811404,478710647473287458053125,5137513061853,161
14;5,4,2,3;5137513061853,7858267495955759334375,44142222393924,3
15;1,4,12,3;6601759733708,102991382247516947100000,16245637366516,4
16;11,4,2,3;16245637366516,407335702206861432900000,44142222393924,52
18;1,4,13,3;6601759733708,756562441167720312300000,2508227518811404,28
20;1,4,6,3;6601759733708,64248460340392213790625,5137513061853,7
23;5,4,2,3;5137513061853,7858267495955759334375,44142222393924,3
24;1,4,2,3;6601759733708,776434037400000000000000,44142222393924,32
29;1,4,7,3;6601759733708,3935967675261264374760000,6875075419396652,88
32;8,4,2,3;6875075419396652,41129337151259625240000,46877130533708,16
34;1,4,2,3;6601759733708,582325528050000000000000,46877130533708,8
38;1,4,6,3;6601759733708,222824918698137710325000,6684861283427,1
41;5,4,2,3;6684861283427,2697975000,46877130533708,1
43;1,4,2,3;6601759733708,582325528050000000000000,46877130533708,8
44;8,4,2,3;6875075419396652,41129337151259625240000,46877130533708,16
47;1,4,6,3;6601759733708,222824918698137710325000,6684861283427,1
50;5,4,2,3;6684861283427,2697975000,46877130533708,1
51;1,4,9,3;6601759733708,3935967675261264374760000,6875075419396652,88
52;8,4,2,3;6875075419396652,41129337151259625240000,46877130533708,16
56;1,4,7,3;6601759733708,907874929401264374760000,9773949461811756,56
59;8,4,2,3;9773949461811756,433890168404963586120000,5239270294201,25
61;1,4,2,3;6601759733708,145581382012500000000000,5239270294201,1
68;1,4,2,3;6601759733708,145581382012500000000000,5239270294201,1
70;1,4,2,3;6601759733708,145581382012500000000000,5239270294201,1
71;8,4,2,3;9773949461811756,433890168404963586120000,5239270294201,25
77;1,4,2,3;6601759733708,145581382012500000000000,5239270294201,1
78;1,4,9,3;6601759733708,907874929401264374760000,9773949461811756,56
79;8,4,2,3;9773949461811756,433890168404963586120000,5239270294201,25
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/3;V/2,3/1/0/13;E/4,5/2/0/3;E/4,2/3/0/13;E/4,3/4/3/13
6:V/3,1/5/0/2;V/12,3/6/0/5;E/4,1/7/0/2;E/4,12/8/0/5;E/4,3/9/2/5
7:V/3,11/6/0/5;V/2,3/10/0/13;E/4,11/8/0/5;E/4,2/11/0/13;E/4,3/12/5/13
11:V/3,8/0/0/3;V/6,3/13/0/10;E/4,8/2/0/3;E/4,6/14/0/10;E/4,3/4/3/10
14:V/3,5/13/0/10;V/2,3/15/0/13;E/4,5/14/0/10;E/4,2/16/0/13;E/4,3/17/10/13
15:V/3,1/18/0/2;V/12,3/19/0/5;E/4,1/20/0/2;E/4,12/21/0/5;E/4,3/22/2/5
16:V/3,11/19/0/5;V/2,3/23/0/13;E/4,11/21/0/5;E/4,2/24/0/13;E/4,3/25/5/13
18:V/3,1/26/0/2;V/13,3/0/0/3;E/4,1/27/0/2;E/4,13/2/0/3;E/4,3/28/2/3
20:V/3,1/29/0/2;V/6,3/30/0/10;E/4,1/31/0/2;E/4,6/32/0/10;E/4,3/33/2/10
23:V/3,5/30/0/10;V/2,3/34/0/13;E/4,5/32/0/10;E/4,2/35/0/13;E/4,3/36/10/13
24:V/3,1/37/0/2;V/2,3/38/0/13;E/4,1/39/0/2;E/4,2/40/0/13;E/4,3/41/2/13
29:V/3,1/42/0/2;V/7,3/43/0/24;E/4,1/44/0/2;E/4,7/45/0/24;E/4,3/46/2/24
32:V/3,8/43/0/24;V/2,3/47/0/30;E/4,8/45/0/24;E/4,2/48/0/30;E/4,3/49/24/30
34:V/3,1/50/0/2;V/2,3/51/0/30;E/4,1/52/0/2;E/4,2/53/0/30;E/4,3/54/2/30
38:V/3,1/42/0/2;V/6,3/55/0/14;E/4,1/44/0/2;E/4,6/56/0/14;E/4,3/46/2/14
40:V/2,3/51/0/30;E/4,2/53/0/30
41:V/3,5/55/0/14;V/2,3/57/0/30;E/4,5/56/0/14;E/4,2/58/0/30;E/4,3/59/14/30
43:V/3,1/60/0/2;V/2,3/61/0/30;E/4,1/62/0/2;E/4,2/63/0/30;E/4,3/64/2/30
44:V/3,8/43/0/24;V/2,3/47/0/30;E/4,8/45/0/24;E/4,2/48/0/30;E/4,3/49/24/30
47:V/3,1/65/0/2;V/6,3/66/0/14;E/4,1/67/0/2;E/4,6/68/0/14;E/4,3/69/2/14
50:V/3,5/66/0/14;V/2,3/51/0/30;E/4,5/68/0/14;E/4,2/53/0/30;E/4,3/70/14/30
51:V/3,1/71/0/2;V/9,3/43/0/24;E/4,1/72/0/2;E/4,9/45/0/24;E/4,3/73/2/24
52:V/3,8/43/0/24;V/2,3/47/0/30;E/4,8/45/0/24;E/4,2/48/0/30;E/4,3/49/24/30
56:V/3,1/74/0/2;V/7,3/75/0/8;E/4,1/76/0/2;E/4,7/77/0/8;E/4,3/78/2/8
59:V/3,8/75/0/8;V/2,3/79/0/20;E/4,8/77/0/8;E/4,2/80/0/20;E/4,3/81/8/20
61:V/3,1/82/0/2;V/2,3/83/0/20;E/4,1/84/0/2;E/4,2/85/0/20;E/4,3/86/2/20
67:V/2,3/83/0/20;E/4,2/85/0/20
68:V/3,1/87/0/2;V/2,3/88/0/20;E/4,1/89/0/2;E/4,2/90/0/20;E/4,3/91/2/20
70:V/3,1/92/0/2;V/2,3/93/0/20;E/4,1/94/0/2;E/4,2/95/0/20;E/4,3/96/2/20
71:V/3,8/75/0/8;V/2,3/79/0/20;E/4,8/77/0/8;E/4,2/80/0/20;E/4,3/81/8/20
77:V/3,1/97/0/2;V/2,3/83/0/20;E/4,1/98/0/2;E/4,2/85/0/20;E/4,3/99/2/20
78:V/3,1/100/0/2;V/9,3/75/0/8;E/4,1/101/0/2;E/4,9/77/0/8;E/4,3/102/2/8
79:V/3,8/75/0/8;V/2,3/79/0/20;E/4,8/77/0/8;E/4,2/80/0/20;E/4,3/81/8/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,3;10177009/25000000;2,40,60,60,12,512;2,40,61,61,12,270
1;C;0,13;22232109/100000000;2,22,0,60,1,798;2,22,0,64,1,302
2;C;0,3;10177009/25000000;2,40,60,60,11,558;2,40,61,61,12,270
3;C;0,13;22232109/100000000;2,22,0,60,0,800;2,22,0,64,1,302
4;C;3,5;9973393/25000000;2,39,61,61,12,70;2,39,61,57,11,588
4;L;5,6;9973393/25000000,6577519/20000000;2,39,61,57,11,588;2,32,61,43,10,630
4;C;6,7;14225379/50000000;4,2845,6083,4242,907,257249;2,28,62,29,8,787
4;C;7,8;650081/2500000;2,26,62,29,8,387;2,26,62,18,6,960
4;C;8,13;22232109/100000000;2,22,62,18,6,160;2,22,64,0,1,302
5;C;0,2;20361217/50000000;4,4072,0,2901,5933,2623221;4,4072,0,2937,6007,645933
6;C;0,5;9973393/25000000;2,39,0,22,60,116;4,3989,0,2179,6034,2213647
7;C;0,2;20361217/50000000;4,4072,0,2957,5933,2295173;4,4072,0,2937,6007,645933
8;C;0,5;9973393/25000000;2,39,0,22,60,116;4,3989,0,2179,6034,2213647
9;C;2,3;10177009/25000000;4,4070,0,2937,6007,605933;4,4070,0,2550,6021,2392618
9;C;3,5;9973393/25000000;4,3989,0,2550,6021,772618;4,3989,0,2179,6034,2213647
10;C;0,13;22232109/100000000;2,22,0,22,25,2666;2,22,0,23,26,2519
11;C;0,13;22232109/100000000;2,22,0,22,24,2764;2,22,0,23,26,2519
12;L;5,6;9973393/25000000,6577519/20000000;4,3989,2179,0,6034,2213647;2,32,22,0,54,84
12;L;6,7;6577519/20000000,14225379/50000000;2,32,22,0,54,84;2,28,23,0,48,463
12;C;7,9;98768/390625;4,2528,2215,0,4748,566767;2,25,23,0,41,1109
12;C;9,13;22232109/100000000;2,22,23,0,41,509;2,22,23,0,26,2519
13;C;0,10;23033269/100000000;2,23,1,60,4,967;2,23,1,63,4,598
14;C;0,10;23033269/100000000;2,23,0,60,0,1000;2,23,1,63,4,598
15;C;0,13;22232109/100000000;2,22,0,44,1,2462;2,22,0,46,1,2282
16;C;0,13;22232109/100000000;2,22,0,45,0,2375;2,22,0,46,1,2282
17;C;10,13;22232109/100000000;2,22,1,63,4,398;2,22,0,46,1,2282
18;L;0,1;20361217/50000000,51723/125000;4,4072,0,3309,5933,89541;4,4137,0,3337,5983,11853
18;L;1,2;51723/125000,5211047/12500000;4,4137,0,3337,5983,11853;10,4168837600,0,3349771771,6006487312,1423777552871
19;C;0,5;9973393/25000000;4,3989,0,2597,5933,2634613;10,3989357200,0,2640200067,6033924406,131568289839
20;L;0,1;20361217/50000000,51723/125000;8,40722434,0,33232347,59330000,112871591;8,41378400,0,33412903,59830000,113112591
20;L;1,2;51723/125000,5211047/12500000;8,41378400,0,33412903,59830000,113112591;10,4168837600,0,3349771771,6006487312,1423777552871
21;C;0,5;9973393/25000000;4,3989,0,2542,5933,2917258;10,3989357200,0,2640200067,6033924406,131568289839
22;L;2,3;5211047/12500000,10177009/25000000;10,4168837600,0,3349771771,6006487312,1423777552871;10,4070803600,0,2987140638,6020509213,441173194218
22;L;3,4;10177009/25000000,19972911/50000000;10,4070803600,0,2987140638,6020509213,441173194218;8,39945822,0,26641069,60330000,42537239
22;L;4,5;19972911/50000000,9973393/25000000;8,39945822,0,26641069,60330000,42537239;10,3989357200,0,2640200067,6033924406,131568289839
23;C;0,13;22232109/100000000;2,22,0,31,25,2189;2,22,0,33,26,1959
24;C;0,13;22232109/100000000;2,22,0,29,24,2407;2,22,0,33,26,1959
25;L;5,6;9973393/25000000,6577519/20000000;10,3989357200,2640200067,0,6033924406,131568289839;8,32887595,27438062,0,53966062,58108468
25;L;6,7;6577519/20000000,14225379/50000000;8,32887595,27438062,0,53966062,58108468;2,28,29,0,48,151
25;L;7,8;14225379/50000000,650081/2500000;2,28,29,0,48,151;2,26,30,0,43,602
25;C;8,9;98768/390625;2,25,30,0,43,402;2,25,30,0,41,738
25;C;9,13;22232109/100000000;2,22,30,0,41,138;2,22,33,0,26,1959
26;C;0,2;20361217/50000000;2,40,60,60,14,408;2,40,61,61,15,108
27;C;0,2;20361217/50000000;2,40,60,60,14,408;2,40,61,61,15,108
28;C;2,3;10177009/25000000;2,40,61,61,15,108;2,40,61,61,12,270
29;C;0,2;20361217/50000000;2,40,0,60,45,350;2,40,0,61,45,229
30;C;0,10;23033269/100000000;2,23,0,60,15,550;2,23,0,63,16,119
31;C;0,2;20361217/50000000;2,40,0,60,45,350;2,40,0,61,45,229
32;C;0,10;23033269/100000000;2,23,0,60,13,662;2,23,0,63,16,119
33;C;2,4;19972911/50000000;2,39,61,0,45,29;2,39,61,0,42,551
33;C;4,5;9973393/25000000;2,39,61,0,42,551;2,39,61,0,42,551
33;L;5,6;9973393/25000000,6577519/20000000;2,39,61,0,42,551;2,32,61,0,35,229
33;L;6,7;6577519/20000000,14225379/50000000;2,32,61,0,35,229;2,28,62,0,28,188
33;L;7,8;14225379/50000000,650081/2500000;2,28,62,0,28,188;2,26,62,0,23,298
33;C;8,9;98768/390625;2,25,62,0,23,98;2,25,62,0,22,188
33;L;9,10;98768/390625,23033269/100000000;2,25,62,0,22,188;2,23,63,0,16,119
34;C;0,13;22232109/100000000;2,22,0,44,14,2072;2,22,0,46,15,1834
35;C;0,13;22232109/100000000;2,22,0,45,12,2087;2,22,0,46,15,1834
36;C;10,13;22232109/100000000;4,2223,0,6230,1504,1123068;2,22,0,46,15,1834
37;C;0,2;20361217/50000000;4,4072,0,5933,4621,3532229;4,4072,0,6007,4679,1569869
38;C;0,13;22232109/100000000;2,22,0,60,10,600;2,22,0,64,11,62
39;C;0,2;20361217/50000000;4,4072,0,5933,4629,3384229;4,4072,0,6007,4679,1569869
40;C;0,13;22232109/100000000;2,22,0,60,8,672;2,22,0,64,11,62
41;C;2,4;19972911/50000000;4,3994,6007,0,4679,9869;2,39,61,0,44,207
41;C;4,5;9973393/25000000;2,39,61,0,44,207;2,39,61,0,44,207
41;L;5,6;9973393/25000000,6577519/20000000;2,39,61,0,44,207;4,3288,6083,0,3728,961143
41;L;6,7;6577519/20000000,14225379/50000000;4,3288,6083,0,3728,961143;8,28450758,61330000,0,31054651,2536398
41;L;7,8;14225379/50000000,650081/2500000;8,28450758,61330000,0,31054651,2536398;10,2600324000,6170503977,0,2639257501,356657653469
41;L;8,9;650081/2500000,98768/390625;10,2600324000,6170503977,0,2639257501,356657653469;8,25284608,61830000,0,24839209,92508638
41;L;9,10;98768/390625,23033269/100000000;8,25284608,61830000,0,24839209,92508638;8,23033269,62295599,0,19051406,4077527
41;L;10,11;23033269/100000000,2861699/12500000;8,23033269,62295599,0,19051406,4077527;8,22893592,62330000,0,18623768,30964352
41;L;11,12;2861699/12500000,22350893/100000000;8,22893592,62330000,0,18623768,30964352;2,22,63,0,13,93
41;C;12,13;22232109/100000000;2,22,63,0,13,93;2,22,64,0,11,62
42;C;0,2;20361217/50000000;2,40,30,60,6,3428;2,40,30,61,6,3307
43;C;0,12;22350893/100000000;2,22,0,60,0,800;2,22,0,63,0,431
43;C;12,18;21662379/100000000;2,21,0,63,0,231;4,2166,0,6483,0,1290711
43;C;18,19;21662379/100000000;4,2166,0,6483,0,1290711;4,2166,0,6533,0,639911
43;C;19,21;21702349/100000000;4,2170,0,6533,0,719911;4,2170,0,6583,0,64111
43;L;21,22;21827157/100000000,4407361/20000000;4,2182,0,6583,0,304111;4,2203,0,6633,0,63311
43;L;22,23;4407361/20000000,4466249/20000000;4,2203,0,6633,0,63311;8,22331245,0,66830000,0,100000000
43;L;23,24;4466249/20000000,22418987/100000000;8,22331245,0,66830000,0,100000000;10,2241898700,0,6696116309,0,376344216519
44;C;0,2;20361217/50000000;2,40,60,30,5,3450;2,40,61,30,6,3307
45;C;0,12;22350893/100000000;2,22,0,60,0,800;2,22,0,63,0,431
45;C;12,18;21662379/100000000;2,21,0,63,0,231;4,2166,0,6483,0,1290711
45;C;18,19;21662379/100000000;4,2166,0,6483,0,1290711;4,2166,0,6533,0,639911
45;C;19,21;21702349/100000000;4,2170,0,6533,0,719911;4,2170,0,6583,0,64111
45;L;21,22;21827157/100000000,4407361/20000000;4,2182,0,6583,0,304111;4,2203,0,6633,0,63311
45;L;22,23;4407361/20000000,4466249/20000000;4,2203,0,6633,0,63311;8,22331245,0,66830000,0,100000000
45;L;23,24;4466249/20000000,22418987/100000000;8,22331245,0,66830000,0,100000000;10,2241898700,0,6696116309,0,376344216519
46;C;2,7;14225379/50000000;2,28,61,30,6,907;2,28,62,19,5,1345
46;C;7,13;22232109/100000000;2,22,62,19,5,145;2,22,64,3,3,277
46;C;13,18;21662379/100000000;2,21,64,3,3,77;4,2166,6483,0,118,1262863
46;C;18,19;21662379/100000000;4,2166,6483,0,118,1262863;4,2166,6533,0,76,628359
46;C;19,21;21702349/100000000;4,2170,6533,0,76,708359;4,2170,6583,0,35,61661
46;L;21,22;21827157/100000000,4407361/20000000;4,2182,6583,0,35,301661;4,2203,6633,0,0,63311
46;L;22,23;4407361/20000000,4466249/20000000;4,2203,6633,0,0,63311;8,22331245,66830000,0,0,100000000
46;L;23,24;4466249/20000000,22418987/100000000;8,22331245,66830000,0,0,100000000;10,2241898700,6696116309,0,0,376344216519
47;C;0,30;579103/4000000;2,14,0,47,0,591;10,1447757500,0,5380998933,0,483052861511
48;C;0,15;11025753/50000000;2,22,0,59,0,919;2,22,0,57,0,1151
48;C;15,22;21662379/100000000;2,21,0,57,0,951;2,21,0,56,0,1064
48;C;22,26;9680579/50000000;2,19,0,56,0,664;2,19,0,55,0,775
48;C;26,28;3223821/20000000;2,16,0,55,0,175;2,16,0,55,0,175
48;L;28,29;3223821/20000000,3652351/25000000;2,16,0,55,0,175;4,1460,0,5384,0,212544
48;L;29,30;3652351/25000000,579103/4000000;4,1460,0,5384,0,212544;10,1447757500,0,5380998933,0,483052861511
49;L;24,25;22418987/100000000,2109351/10000000;10,2241898700,0,6696116309,0,376344216519;8,21093510,0,64951535,0,101143775
49;L;25,26;2109351/10000000,9680579/50000000;8,21093510,0,64951535,0,101143775;10,1936115800,0,6222725702,0,837668607196
49;L;26,27;9680579/50000000,17703023/100000000;10,1936115800,0,6222725702,0,837668607196;10,1770302300,0,5950297932,0,520436523376
49;L;27,28;17703023/100000000,3223821/20000000;10,1770302300,0,5950297932,0,520436523376;10,1611910500,0,5677870161,0,434825834079
49;L;28,29;3223821/20000000,3652351/25000000;10,1611910500,0,5677870161,0,434825834079;8,14609404,0,54054424,0,46028224
49;L;29,30;3652351/25000000,579103/4000000;8,14609404,0,54054424,0,46028224;10,1447757500,0,5380998933,0,483052861511
50;C;0,2;20361217/50000000;2,40,0,17,47,3293;2,40,0,17,47,3293
51;C;0,30;579103/4000000;2,14,0,17,9,2349;2,14,0,19,11,2197
52;C;0,2;20361217/50000000;2,40,0,17,47,3293;2,40,0,17,47,3293
53;C;0,30;579103/4000000;2,14,0,17,4,2479;2,14,0,19,11,2197
54;C;2,9;98768/390625;2,25,17,0,47,293;2,25,17,0,40,1511
54;C;9,16;10918479/50000000;2,21,17,0,40,711;2,21,18,0,33,1698
54;C;16,30;579103/4000000;2,14,18,0,33,298;2,14,19,0,11,2197
55;C;0,14;2209491/10000000;2,22,1,60,3,781;2,22,1,64,3,285
56;C;0,14;2209491/10000000;2,22,0,60,0,800;2,22,1,64,3,285
57;C;0,30;579103/4000000;2,14,0,17,0,2511;2,14,0,19,0,2439
58;C;0,30;579103/4000000;2,14,0,17,0,2511;2,14,0,19,0,2439
59;C;14,22;21662379/100000000;2,21,1,64,3,85;2,21,0,41,0,2519
59;C;22,30;579103/4000000;2,14,0,41,0,1119;2,14,0,19,0,2439
60;C;0,2;20361217/50000000;2,40,0,21,47,3141;2,40,0,21,47,3141
61;C;0,30;579103/4000000;2,14,0,24,9,2062;2,14,0,28,11,1774
62;C;0,2;20361217/50000000;2,40,0,21,47,3141;2,40,0,21,47,3141
63;C;0,30;579103/4000000;2,14,0,18,4,2444;2,14,0,28,11,1774
64;C;2,9;98768/390625;2,25,21,0,47,141;2,25,23,0,40,1271
64;C;9,16;10918479/50000000;2,21,23,0,40,471;2,21,24,0,33,1446
64;C;16,30;579103/4000000;2,14,24,0,33,46;2,14,28,0,11,1774
65;C;0,2;20361217/50000000;2,40,0,60,25,3150;2,40,0,61,26,2927
66;C;0,14;2209491/10000000;2,22,0,60,11,558;2,22,0,64,12,16
67;C;0,2;20361217/50000000;2,40,0,60,25,3150;2,40,0,61,26,2927
68;C;0,14;2209491/10000000;2,22,0,60,9,638;2,22,0,64,12,16
69;C;2,8;650081/2500000;2,26,61,0,26,127;2,26,62,0,18,708
69;C;8,11;2861699/12500000;4,2289,6171,0,1799,1225957;4,2289,6233,0,1531,2241789
69;C;11,14;2209491/10000000;4,2209,6233,0,1531,641789;2,22,64,0,12,16
70;C;14,22;21662379/100000000;4,2166,0,6325,1137,728837;2,21,0,41,11,2277
70;C;22,30;579103/4000000;2,14,0,41,11,877;2,14,0,19,11,2197
71;C;0,2;20361217/50000000;2,40,0,60,28,2832;2,40,0,61,28,2711
72;C;0,2;20361217/50000000;2,40,0,60,27,2942;2,40,0,61,28,2711
73;C;2,7;14225379/50000000;2,28,61,0,28,311;2,28,62,0,23,698
73;C;7,8;650081/2500000;2,26,62,0,23,298;2,26,62,0,21,474
73;C;8,9;98768/390625;2,25,62,0,21,274;2,25,62,0,21,274
73;L;9,10;98768/390625,23033269/100000000;2,25,62,0,21,274;4,2303,6230,0,1834,519988
73;C;10,11;2861699/12500000;4,2289,6230,0,1834,239988;4,2289,6233,0,1820,304911
73;L;11,12;2861699/12500000,22350893/100000000;4,2289,6233,0,1820,304911;8,22350893,62830000,0,16164307,58419502
73;L;12,13;22350893/100000000,22232109/100000000;8,22350893,62830000,0,16164307,58419502;8,22232109,63011980,0,15425824,84321648
73;L;13,14;22232109/100000000,2209491/10000000;8,22232109,63011980,0,15425824,84321648;10,2209491000,6324777740,0,1446894267,499845557822
73;L;14,15;2209491/10000000,11025753/50000000;10,2209491000,6324777740,0,1446894267,499845557822;8,22051506,63330000,0,14135279,75184318
73;L;15,16;11025753/50000000,10918479/50000000;8,22051506,63330000,0,14135279,75184318;8,21836958,63830000,0,12106251,73449998
73;L;16,17;10918479/50000000,21707249/100000000;8,21836958,63830000,0,12106251,73449998;8,21707249,64330000,0,10077223,53216542
73;L;17,18;21707249/100000000,21662379/100000000;8,21707249,64330000,0,10077223,53216542;8,21662379,64830000,0,8048195,14483950
73;L;18,19;21662379/100000000,21702349/100000000;8,21662379,64830000,0,8048195,14483950;8,21702349,65330000,0,6019167,157252222
73;L;19,20;21702349/100000000,21789531/100000000;8,21702349,65330000,0,6019167,157252222;8,21789531,65710223,0,4476203,6695853
73;L;20,21;21789531/100000000,21827157/100000000;8,21789531,65710223,0,4476203,6695853;8,21827157,65830000,0,3990139,81521358
73;L;21,22;21827157/100000000,4407361/20000000;8,21827157,65830000,0,3990139,81521358;8,22036805,66330000,0,1961111,187291358
73;L;22,23;4407361/20000000,4466249/20000000;8,22036805,66330000,0,1961111,187291358;8,22331245,66830000,0,0,100000000
73;L;23,24;4466249/20000000,22418987/100000000;8,22331245,66830000,0,0,100000000;10,2241898700,6696116309,0,0,376344216519
74;C;0,2;20361217/50000000;2,40,0,60,2,4392;2,40,0,61,2,4271
75;C;0,8;650081/2500000;2,26,0,60,1,1598;2,26,0,62,1,1354
76;C;0,2;20361217/50000000;2,40,0,60,1,4398;2,40,0,61,2,4271
77;C;0,8;650081/2500000;2,26,0,60,0,1600;2,26,0,62,1,1354
78;C;2,8;650081/2500000;2,26,61,0,2,1471;2,26,62,0,1,1354
79;C;0,20;21662379/100000000;2,21,0,37,0,2831;2,21,0,41,0,2519
80;C;0,20;21662379/100000000;2,21,0,45,0,2175;2,21,0,41,0,2519
81;C;8,20;21662379/100000000;2,21,0,62,1,354;2,21,0,41,0,2519
82;C;0,2;20361217/50000000;2,40,0,13,27,6373;2,40,0,14,28,6236
83;C;0,20;21662379/100000000;2,21,0,13,8,3903;2,21,0,15,8,3847
84;C;0,2;20361217/50000000;2,40,0,13,27,6373;2,40,0,14,28,6236
85;C;0,20;21662379/100000000;2,21,0,13,4,3999;2,21,0,15,8,3847
86;C;2,20;21662379/100000000;2,21,14,0,28,2436;2,21,15,0,8,3847
87;C;0,2;20361217/50000000;2,40,0,51,2,5391;2,40,0,51,2,5391
88;C;0,20;21662379/100000000;2,21,0,13,0,4031;2,21,0,15,0,3975
89;C;0,2;20361217/50000000;2,40,0,51,1,5397;2,40,0,51,2,5391
90;C;0,20;21662379/100000000;2,21,0,13,0,4031;2,21,0,15,0,3975
91;C;2,20;21662379/100000000;2,21,0,51,2,1591;2,21,0,15,0,3975
92;C;0,2;20361217/50000000;2,40,0,18,27,6218;2,40,0,19,28,6071
93;C;0,20;21662379/100000000;2,21,0,20,8,3672;2,21,0,22,8,3588
94;C;0,2;20361217/50000000;2,40,0,18,27,6218;2,40,0,19,28,6071
95;C;0,20;21662379/100000000;2,21,0,15,4,3943;2,21,0,22,8,3588
96;C;2,20;21662379/100000000;2,21,19,0,28,2271;2,21,22,0,8,3588
97;C;0,2;20361217/50000000;2,40,0,51,9,5237;2,40,0,51,9,5237
98;C;0,2;20361217/50000000;2,40,0,51,8,5271;2,40,0,51,9,5237
99;C;2,20;21662379/100000000;2,21,0,51,9,1437;2,21,0,15,8,3847
100;C;0,2;20361217/50000000;2,40,0,60,7,4302;2,40,0,61,7,4181
101;C;0,2;20361217/50000000;2,40,0,60,6,4328;2,40,0,61,7,4181
102;C;2,8;650081/2500000;2,26,61,0,7,1381;2,26,62,0,1,1354
MASS SLACK NUMERATOR 584772312421375430472115726094666952709819473364340341551546523410446611554215047485391565430960768005309109

BIN 9: PPC; (5/4,61/48]; gamma0=2979/5000; mass ceiling=99201919/100000000.
GAMMA 0=2979/5000;1=751/1250;2=1959243750/3248584583;3=194639625000/322044847207;4=3029/5000;5=14260725000/23539557739;6=1527/2500;7=3079/5000;8=47899762500/77661432883;9=388/625;10=3129/5000;11=4282500000/6834433157;12=1577/2500;13=1584525000/2499147083;14=931443750/1467407183;15=3179/5000;16=801/1250;17=3229/5000;18=1627/2500;19=3279/5000;20=112415625/170456347;21=413/625;22=3329/5000;23=17269181250/25829624579;24=1677/2500;25=3379/5000;26=851/1250;27=3429/5000;28=1727/2500;29=3479/5000;30=1188393750/1706884583;31=438/625;32=3529/5000;33=1777/2500;34=3579/5000;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40626925,41278745;1,2,41278745,41581260;2,3,41581260,40772735;3,4,40772735,39994576;4,5,39994576,39984641;5,6,39984641,33192190;6,7,33192190,28802350;7,8,28802350,28155407;8,9,28155407,25769415;9,10,25769415,23429781;10,11,23429781,23117345;11,12,23117345,22285476;12,13,22285476,22100367;13,14,22100367,22063496;14,15,22063496,22013765;15,16,22013765,21827549;16,17,21827549,21726827;17,18,21726827,21711600;18,19,21711600,21781867;19,20,21781867,21888837;20,21,21888837,21937629;21,22,21937629,22178886;22,23,22178886,22350035;23,24,22350035,21516008;24,25,21516008,19695410;25,26,19695410,17955280;26,27,17955280,16295617;27,28,16295617,14716423;28,29,14716423,13217696;29,30,13217696,13090948;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;35552184329/10021050000,5/13,3248584583/1541700000;-9696159460649
1;0,6,7;4/13,1,7;-2
3;0,3,7;119/208,3,1;-2
4;2,3,7;181/104,49/26,29/48;-211
5;2,3,8;989/624,56/39,29/48;-71
8;1,3,6;107/312,75/26,61/48;-107
9;1,4,10;1912701533/513900000,3/2,3248584583/1541700000;-432906496973
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;25/12,1/3,29/48;-1
17;2,3,8;989/624,56/39,29/48;-71
19;0,3,13;263/312,2,1;-1
21;0,3,13;215/624,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;989/624,56/39,29/48;-71
26;1,3,12;263/312,44/13,61/48;-263
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;119/208,3,1;-2
31;2,3,7;285/104,49/26,37/48;-107
33;1,4,12;2734684583/513900000,1/2,3248584583/1541700000;-647031496973
35;1,3,6;107/312,75/26,61/48;-107
36;1,4,10;2734684583/513900000,1/2,3248584583/1541700000;-861156496973
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;2734684583/513900000,1/2,3248584583/1541700000;-647031496973
45;1,4,13;37092599579/6680700000,5/13,3248584583/1541700000;-9696159460649
46;0,3,13;263/312,2,1;-1
48;0,3,13;215/624,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;263/312,44/13,61/48;-263
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;389/104,31/13,49/48;-107
60;0,1,12;1/2,3,1;-1
62;1,3,6;107/312,75/26,61/48;-107
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;1193194429/192712500,1,3248584583/1541700000;-218781496973
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;263/312,2,1;-1
74;1,4,6;1193194429/192712500,1,3248584583/1541700000;-218781496973
75;0,3,13;215/624,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;263/312,44/13,61/48;-263
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;79886589873116,6766137472431941100000,1524334676496,12176
6;1,4,12,3;632988145296,107645863705575300000,524125553564,176
7;11,4,2,3;524125553564,469684957494764700000,1524334676496,848
11;8,4,6,3;79886589873116,545211177019944721875,1052723625297,1556
14;5,4,2,3;1052723625297,9645828046384190625,1524334676496,156
15;1,4,12,3;632988145296,107645863705575300000,524125553564,176
16;11,4,2,3;524125553564,469684957494764700000,1524334676496,848
18;1,4,13,3;632988145296,739163203172478900000,79886589873116,1136
20;1,4,6,3;632988145296,71988645816147684375,1052723625297,996
23;5,4,2,3;1052723625297,9645828046384190625,1524334676496,156
24;1,4,2,3;632988145296,880310700000000000000,1524334676496,1536
29;1,4,7,3;632988145296,4320207573806974680000,1955086562865072,36768
32;8,4,2,3;1955086562865072,171806653725025320000,4571517745296,8160
34;1,4,2,3;632988145296,660233025000000000000,4571517745296,1152
38;1,4,6,3;632988145296,245792654029181475000,477665839743,420
41;5,4,2,3;477665839743,385425000,4571517745296,12
43;1,4,2,3;632988145296,660233025000000000000,4571517745296,1152
44;8,4,2,3;1955086562865072,171806653725025320000,4571517745296,8160
47;1,4,6,3;632988145296,245792654029181475000,477665839743,420
50;5,4,2,3;477665839743,385425000,4571517745296,12
51;1,4,9,3;632988145296,4320207573806974680000,1955086562865072,36768
52;8,4,2,3;1955086562865072,171806653725025320000,4571517745296,8160
56;1,4,7,3;632988145296,886995843806974680000,847122009920472,6816
59;8,4,2,3;847122009920472,558309312717023160000,289539558864,15648
61;1,4,2,3;632988145296,165058256250000000000,289539558864,576
68;1,4,2,3;632988145296,165058256250000000000,289539558864,576
70;1,4,2,3;632988145296,165058256250000000000,289539558864,576
71;8,4,2,3;847122009920472,558309312717023160000,289539558864,15648
77;1,4,2,3;632988145296,165058256250000000000,289539558864,576
78;1,4,9,3;632988145296,886995843806974680000,847122009920472,6816
79;8,4,2,3;847122009920472,558309312717023160000,289539558864,15648
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/3;V/2,3/1/0/14;E/4,5/2/0/3;E/4,2/3/0/14;E/4,3/4/3/14
6:V/3,1/5/0/2;V/12,3/6/0/5;E/4,1/7/0/2;E/4,12/8/0/5;E/4,3/9/2/5
7:V/3,11/6/0/5;V/2,3/10/0/14;E/4,11/8/0/5;E/4,2/11/0/14;E/4,3/12/5/14
11:V/3,8/0/0/3;V/6,3/13/0/11;E/4,8/2/0/3;E/4,6/14/0/11;E/4,3/4/3/11
14:V/3,5/13/0/11;V/2,3/15/0/14;E/4,5/14/0/11;E/4,2/16/0/14;E/4,3/17/11/14
15:V/3,1/18/0/2;V/12,3/19/0/5;E/4,1/20/0/2;E/4,12/21/0/5;E/4,3/22/2/5
16:V/3,11/19/0/5;V/2,3/23/0/14;E/4,11/21/0/5;E/4,2/24/0/14;E/4,3/25/5/14
18:V/3,1/26/0/2;V/13,3/0/0/3;E/4,1/27/0/2;E/4,13/2/0/3;E/4,3/28/2/3
20:V/3,1/29/0/2;V/6,3/30/0/11;E/4,1/31/0/2;E/4,6/32/0/11;E/4,3/33/2/11
23:V/3,5/30/0/11;V/2,3/34/0/14;E/4,5/32/0/11;E/4,2/35/0/14;E/4,3/36/11/14
24:V/3,1/37/0/2;V/2,3/38/0/14;E/4,1/39/0/2;E/4,2/40/0/14;E/4,3/41/2/14
29:V/3,1/42/0/2;V/7,3/43/0/23;E/4,1/44/0/2;E/4,7/45/0/23;E/4,3/46/2/23
32:V/3,8/43/0/23;V/2,3/47/0/30;E/4,8/45/0/23;E/4,2/48/0/30;E/4,3/49/23/30
34:V/3,1/50/0/2;V/2,3/51/0/30;E/4,1/52/0/2;E/4,2/53/0/30;E/4,3/54/2/30
38:V/3,1/42/0/2;V/6,3/55/0/13;E/4,1/44/0/2;E/4,6/56/0/13;E/4,3/46/2/13
40:V/2,3/51/0/30;E/4,2/53/0/30
41:V/3,5/55/0/13;V/2,3/57/0/30;E/4,5/56/0/13;E/4,2/58/0/30;E/4,3/59/13/30
43:V/3,1/60/0/2;V/2,3/61/0/30;E/4,1/62/0/2;E/4,2/63/0/30;E/4,3/64/2/30
44:V/3,8/43/0/23;V/2,3/47/0/30;E/4,8/45/0/23;E/4,2/48/0/30;E/4,3/49/23/30
47:V/3,1/65/0/2;V/6,3/66/0/13;E/4,1/67/0/2;E/4,6/68/0/13;E/4,3/69/2/13
50:V/3,5/66/0/13;V/2,3/51/0/30;E/4,5/68/0/13;E/4,2/53/0/30;E/4,3/70/13/30
51:V/3,1/71/0/2;V/9,3/43/0/23;E/4,1/72/0/2;E/4,9/45/0/23;E/4,3/73/2/23
52:V/3,8/43/0/23;V/2,3/47/0/30;E/4,8/45/0/23;E/4,2/48/0/30;E/4,3/49/23/30
56:V/3,1/74/0/2;V/7,3/75/0/8;E/4,1/76/0/2;E/4,7/77/0/8;E/4,3/78/2/8
59:V/3,8/75/0/8;V/2,3/79/0/20;E/4,8/77/0/8;E/4,2/80/0/20;E/4,3/81/8/20
61:V/3,1/82/0/2;V/2,3/83/0/20;E/4,1/84/0/2;E/4,2/85/0/20;E/4,3/86/2/20
67:V/2,3/83/0/20;E/4,2/85/0/20
68:V/3,1/87/0/2;V/2,3/88/0/20;E/4,1/89/0/2;E/4,2/90/0/20;E/4,3/91/2/20
70:V/3,1/92/0/2;V/2,3/93/0/20;E/4,1/94/0/2;E/4,2/95/0/20;E/4,3/96/2/20
71:V/3,8/75/0/8;V/2,3/79/0/20;E/4,8/77/0/8;E/4,2/80/0/20;E/4,3/81/8/20
77:V/3,1/97/0/2;V/2,3/83/0/20;E/4,1/98/0/2;E/4,2/85/0/20;E/4,3/99/2/20
78:V/3,1/100/0/2;V/9,3/75/0/8;E/4,1/101/0/2;E/4,9/77/0/8;E/4,3/102/2/8
79:V/3,8/75/0/8;V/2,3/79/0/20;E/4,8/77/0/8;E/4,2/80/0/20;E/4,3/81/8/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,3;1625077/4000000;2,40,60,60,11,558;2,40,61,61,11,316
1;C;0,14;2757937/12500000;2,22,0,60,2,792;2,22,0,64,2,296
2;C;0,3;1625077/4000000;2,40,60,60,10,600;2,40,61,61,11,316
3;C;0,14;2757937/12500000;2,22,0,60,0,800;2,22,0,64,2,296
4;C;3,5;39984641/100000000;2,39,61,61,11,116;2,39,61,57,11,588
4;L;5,6;39984641/100000000,3319219/10000000;2,39,61,57,11,588;2,33,62,44,9,658
4;C;6,7;576047/2000000;4,2880,6108,4305,864,266319;2,28,62,30,8,728
4;C;7,8;28155407/100000000;2,28,62,30,8,728;2,28,62,27,7,929
4;C;8,11;4623469/20000000;4,2311,6168,2683,677,60629;2,23,63,1,4,598
4;C;11,14;2757937/12500000;2,22,63,1,4,398;2,22,64,0,2,296
5;C;0,2;1625077/4000000;2,40,0,28,60,16;4,4062,0,2736,6032,984256
6;C;0,5;39984641/100000000;2,39,0,20,60,200;4,3998,0,2020,6059,2456638
7;C;0,2;1625077/4000000;2,40,0,28,60,16;4,4062,0,2736,6032,984256
8;C;0,5;39984641/100000000;2,39,0,20,60,200;4,3998,0,2020,6059,2456638
9;C;2,3;8154547/20000000;4,4077,0,2736,6032,1284256;4,4077,0,2398,6044,2729724
9;C;3,5;39984641/100000000;4,3998,0,2398,6044,1149724;4,3998,0,2020,6059,2456638
10;C;0,14;2757937/12500000;2,22,0,20,24,2848;2,22,0,22,25,2666
11;C;0,14;2757937/12500000;2,22,0,20,23,2942;2,22,0,22,25,2666
12;L;5,6;39984641/100000000,3319219/10000000;4,3998,2020,0,6059,2456638;2,33,21,0,55,109
12;L;6,7;3319219/10000000,576047/2000000;2,33,21,0,55,109;2,28,21,0,49,357
12;C;7,9;5153883/20000000;4,2576,2053,0,4825,743941;2,25,21,0,43,861
12;C;9,14;2757937/12500000;2,22,21,0,43,261;2,22,22,0,25,2666
13;C;0,11;4623469/20000000;2,23,1,60,4,967;2,23,1,63,4,598
14;C;0,11;4623469/20000000;2,23,0,60,0,1000;2,23,1,63,4,598
15;C;0,14;2757937/12500000;2,22,0,42,2,2628;2,22,0,45,2,2367
16;C;0,14;2757937/12500000;2,22,0,44,0,2464;2,22,0,45,2,2367
17;C;11,14;2757937/12500000;2,22,1,63,4,398;2,22,0,45,2,2367
18;L;0,1;1625077/4000000,8255749/20000000;4,4062,0,3189,5958,74751;4,4127,0,3215,6008,11647
18;L;1,2;8255749/20000000,2079063/5000000;4,4127,0,3215,6008,11647;10,4158126000,0,3227217626,6031068917,1831227818346
19;C;0,5;39984641/100000000;4,3998,0,2521,5958,2609031;10,3998464100,0,2562383120,6058195808,1850201519872
20;L;0,1;1625077/4000000,8255749/20000000;8,40626925,0,32028614,59580000,85239004;8,41278745,0,32195280,60080000,145721600
20;L;1,2;8255749/20000000,2079063/5000000;8,41278745,0,32195280,60080000,145721600;10,4158126000,0,3227217626,6031068917,1831227818346
21;C;0,5;39984641/100000000;4,3998,0,2466,5958,2883316;10,3998464100,0,2562383120,6058195808,1850201519872
22;L;2,3;2079063/5000000,8154547/20000000;10,4158126000,0,3227217626,6031068917,1831227818346;8,40772735,0,29135562,60438671,122451674
22;L;3,4;8154547/20000000,2499661/6250000;8,40772735,0,29135562,60438671,122451674;8,39994576,0,25671821,60580000,6543959
22;L;4,5;2499661/6250000,39984641/100000000;8,39994576,0,25671821,60580000,6543959;10,3998464100,0,2562383120,6058195808,1850201519872
23;C;0,14;2757937/12500000;2,22,0,31,24,2287;2,22,0,33,25,2061
24;C;0,14;2757937/12500000;2,22,0,29,23,2501;2,22,0,33,25,2061
25;L;5,6;39984641/100000000,3319219/10000000;10,3998464100,2562383120,0,6058195808,1850201519872;8,33192190,26729307,0,54424177,63045093
25;L;6,7;3319219/10000000,576047/2000000;8,33192190,26729307,0,54424177,63045093;2,28,28,0,49,14
25;C;7,8;28155407/100000000;2,28,28,0,49,14;2,28,29,0,48,151
25;L;8,9;28155407/100000000,5153883/20000000;2,28,29,0,48,151;2,25,29,0,43,461
25;C;9,14;2757937/12500000;4,2206,2895,0,4207,341277;2,22,33,0,25,2061
26;C;0,2;1625077/4000000;2,40,60,60,13,462;2,40,61,61,13,220
27;C;0,2;1625077/4000000;2,40,60,60,13,462;2,40,61,61,13,220
28;C;2,3;8154547/20000000;2,40,61,61,13,220;2,40,61,61,11,316
29;C;0,2;1625077/4000000;2,40,0,60,44,528;2,40,0,61,44,407
30;C;0,11;4623469/20000000;2,23,0,60,14,608;2,23,0,63,14,239
31;C;0,2;1625077/4000000;2,40,0,60,44,528;2,40,0,61,44,407
32;C;0,11;4623469/20000000;2,23,0,60,12,712;2,23,0,63,14,239
33;C;2,4;2499661/6250000;2,39,61,0,44,207;2,39,61,0,41,717
33;C;4,5;39984641/100000000;2,39,61,0,41,717;2,39,61,0,41,717
33;L;5,6;39984641/100000000,3319219/10000000;2,39,61,0,41,717;2,33,62,0,35,306
33;L;6,7;3319219/10000000,576047/2000000;2,33,62,0,35,306;2,28,62,0,28,188
33;C;7,8;28155407/100000000;2,28,62,0,28,188;2,28,62,0,27,298
33;L;8,9;28155407/100000000,5153883/20000000;2,28,62,0,27,298;2,25,63,0,22,63
33;L;9,10;5153883/20000000,23429781/100000000;2,25,63,0,22,63;2,23,63,0,16,119
33;C;10,11;4623469/20000000;2,23,63,0,16,119;2,23,63,0,14,239
34;C;0,14;2757937/12500000;2,22,0,42,13,2298;2,22,0,45,14,1983
35;C;0,14;2757937/12500000;2,22,0,44,11,2222;2,22,0,45,14,1983
36;C;11,14;2757937/12500000;2,22,0,63,14,39;2,22,0,45,14,1983
37;C;0,2;1625077/4000000;2,40,0,60,46,168;4,4062,0,6032,4630,1981176
38;C;0,14;2757937/12500000;2,22,0,60,9,638;2,22,0,64,10,104
39;C;0,2;1625077/4000000;2,40,0,60,46,168;4,4062,0,6032,4630,1981176
40;C;0,14;2757937/12500000;2,22,0,60,7,702;2,22,0,64,10,104
41;C;2,5;39984641/100000000;4,3998,6032,0,4630,701176;2,39,61,0,44,207
41;L;5,6;39984641/100000000,3319219/10000000;2,39,61,0,44,207;4,3319,6108,0,3725,1321086
41;L;6,7;3319219/10000000,576047/2000000;4,3319,6108,0,3725,1321086;8,28802350,61580000,0,31371751,78387998
41;L;7,8;576047/2000000,28155407/100000000;8,28802350,61580000,0,31371751,78387998;10,2815540700,6167767027,0,3022371863,544143399733
41;L;8,9;28155407/100000000,5153883/20000000;10,2815540700,6167767027,0,3022371863,544143399733;8,25769415,62080000,0,25494671,101203518
41;L;9,10;5153883/20000000,23429781/100000000;8,25769415,62080000,0,25494671,101203518;8,23429781,62580000,0,19617591,46713438
41;L;10,11;23429781/100000000,4623469/20000000;8,23429781,62580000,0,19617591,46713438;10,2311734500,6266064649,0,1866965929,254458840717
41;L;11,12;4623469/20000000,5571369/25000000;10,2311734500,6266064649,0,1866965929,254458840717;4,2228,6308,0,1375,987886
41;C;12,14;2757937/12500000;4,2206,6308,0,1375,547886;2,22,64,0,10,104
42;C;0,2;1625077/4000000;2,40,29,60,5,3509;2,40,29,61,5,3388
43;C;0,11;4623469/20000000;2,23,0,60,1,998;2,23,0,63,1,629
43;C;11,17;21726827/100000000;2,21,0,63,1,229;4,2172,0,6458,7,1734138
43;C;17,18;54279/250000;4,2171,0,6458,7,1714138;4,2171,0,6508,7,1065838
43;C;18,19;54279/250000;4,2171,0,6508,7,1065838;4,2171,0,6558,7,412538
43;C;19,20;21781867/100000000;4,2178,0,6558,7,552538;4,2178,0,6595,7,65877
43;C;20,21;21888837/100000000;4,2188,0,6595,7,265877;4,2188,0,6608,7,94238
43;L;21,22;21937629/100000000,11089443/50000000;4,2193,0,6608,7,194238;4,2217,0,6658,7,10938
43;L;22,23;11089443/50000000,4470007/20000000;4,2217,0,6658,7,10938;8,22350035,0,66858043,67356,12548679
44;C;0,2;1625077/4000000;2,40,60,29,4,3527;2,40,61,29,5,3388
45;C;0,11;4623469/20000000;2,23,0,60,0,1000;2,23,0,63,0,631
45;C;11,17;21726827/100000000;2,21,0,63,0,231;4,2172,0,6458,0,1734236
45;C;17,18;54279/250000;4,2171,0,6458,0,1714236;4,2171,0,6508,0,1065936
45;C;18,19;54279/250000;4,2171,0,6508,0,1065936;4,2171,0,6558,0,412636
45;C;19,20;21781867/100000000;4,2178,0,6558,0,552636;4,2178,0,6595,0,65975
45;C;20,21;21888837/100000000;4,2188,0,6595,0,265975;4,2188,0,6608,0,94336
45;L;21,22;21937629/100000000,11089443/50000000;4,2193,0,6608,0,194336;4,2217,0,6658,0,11036
45;L;22,23;11089443/50000000,4470007/20000000;4,2217,0,6658,0,11036;8,22350035,0,66858043,67356,12548679
46;C;2,7;576047/2000000;2,28,61,29,5,988;2,28,62,17,4,1435
46;C;7,12;5571369/25000000;2,22,62,17,4,235;2,22,64,3,3,277
46;C;12,17;21726827/100000000;2,21,64,3,3,77;4,2172,6458,0,175,1672986
46;C;17,18;54279/250000;4,2171,6458,0,175,1652986;4,2171,6508,0,138,1027848
46;C;18,19;54279/250000;4,2171,6508,0,138,1027848;4,2171,6558,0,101,392234
46;C;19,20;21781867/100000000;4,2178,6558,0,101,532234;4,2178,6595,0,74,55023
46;C;20,21;21888837/100000000;4,2188,6595,0,74,255023;4,2188,6608,0,65,85886
46;L;21,22;21937629/100000000,11089443/50000000;4,2193,6608,0,65,185886;4,2217,6658,0,28,9468
46;L;22,23;11089443/50000000,4470007/20000000;4,2217,6658,0,28,9468;8,22350035,66858043,0,67356,12548679
47;C;0,30;3272737/25000000;2,13,0,44,0,664;10,1309094800,0,5116824778,0,191245250716
48;C;0,15;4402753/20000000;2,22,0,57,0,1151;2,22,0,55,0,1375
48;C;15,22;54279/250000;2,21,0,55,0,1175;2,21,0,53,0,1391
48;C;22,26;224441/1250000;2,17,0,53,0,591;2,17,0,52,0,696
48;C;26,28;14716423/100000000;2,14,0,52,0,96;2,14,0,52,0,96
48;L;28,29;14716423/100000000,413053/3125000;2,14,0,52,0,96;4,1321,0,5120,0,205600
48;L;29,30;413053/3125000,3272737/25000000;4,1321,0,5120,0,205600;10,1309094800,0,5116824778,0,191245250716
49;L;23,24;4470007/20000000,2689501/12500000;8,22350035,0,66858043,67356,12548679;8,21516008,0,65598792,0,88140736
49;L;24,25;2689501/12500000,1969541/10000000;8,21516008,0,65598792,0,88140736;8,19695410,0,62762106,0,50444764
49;L;25,26;1969541/10000000,224441/1250000;8,19695410,0,62762106,0,50444764;8,17955280,0,59925419,0,157674439
49;L;26,27;224441/1250000,16295617/100000000;8,17955280,0,59925419,0,157674439;10,1629561700,0,5708873223,0,523713592271
49;L;27,28;16295617/100000000,14716423/100000000;10,1629561700,0,5708873223,0,523713592271;8,14716423,0,54252046,0,104813884
49;L;28,29;14716423/100000000,413053/3125000;8,14716423,0,54252046,0,104813884;10,1321769600,0,5141535937,0,208537532031
49;L;29,30;413053/3125000,3272737/25000000;10,1321769600,0,5141535937,0,208537532031;10,1309094800,0,5116824778,0,191245250716
50;C;0,2;1625077/4000000;2,40,0,15,47,3357;2,40,0,16,47,3326
51;C;0,30;3272737/25000000;2,13,0,15,9,2213;2,13,0,18,10,2076
52;C;0,2;1625077/4000000;2,40,0,15,47,3357;2,40,0,16,47,3326
53;C;0,30;3272737/25000000;2,13,0,15,4,2343;2,13,0,18,10,2076
54;C;2,9;5153883/20000000;2,25,16,0,47,326;2,25,16,0,40,1544
54;C;9,16;21827549/100000000;2,21,16,0,40,744;2,21,17,0,32,1863
54;C;16,30;3272737/25000000;2,13,17,0,32,263;2,13,18,0,10,2076
55;C;0,13;22100367/100000000;2,22,0,60,3,782;2,22,0,64,3,286
56;C;0,13;22100367/100000000;2,22,0,60,0,800;2,22,0,64,3,286
57;C;0,30;3272737/25000000;2,13,0,15,0,2375;2,13,0,18,0,2276
58;C;0,30;3272737/25000000;2,13,0,15,0,2375;2,13,0,18,0,2276
59;C;13,21;54279/250000;2,21,0,64,3,86;2,21,0,44,1,2262
59;C;21,30;3272737/25000000;2,13,0,44,1,662;2,13,0,18,0,2276
60;C;0,2;1625077/4000000;2,40,0,21,47,3141;2,40,0,21,47,3141
61;C;0,30;3272737/25000000;2,13,0,24,9,1862;2,13,0,28,10,1616
62;C;0,2;1625077/4000000;2,40,0,20,47,3182;2,40,0,21,47,3141
63;C;0,30;3272737/25000000;2,13,0,18,4,2244;2,13,0,28,10,1616
64;C;2,9;5153883/20000000;2,25,21,0,47,141;2,25,23,0,40,1271
64;C;9,16;21827549/100000000;2,21,23,0,40,471;2,21,24,0,32,1576
64;C;16,30;3272737/25000000;4,1309,2358,0,3164,598044;2,13,28,0,10,1616
65;C;0,2;1625077/4000000;2,40,0,60,24,3248;2,40,0,61,24,3127
66;C;0,13;22100367/100000000;2,22,0,60,10,600;2,22,0,64,11,62
67;C;0,2;1625077/4000000;2,40,0,60,24,3248;2,40,0,61,24,3127
68;C;0,13;22100367/100000000;2,22,0,60,8,672;2,22,0,64,11,62
69;C;2,7;576047/2000000;2,28,61,0,24,727;2,28,62,0,19,1034
69;C;7,10;23429781/100000000;2,23,62,0,19,34;2,23,63,0,15,181
69;C;10,13;22100367/100000000;4,2210,6258,0,1413,1044298;2,22,64,0,11,62
70;C;13,21;54279/250000;4,2171,0,6341,1055,985669;2,21,0,44,11,2022
70;C;21,30;3272737/25000000;2,13,0,44,11,422;2,13,0,18,10,2076
71;C;0,2;1625077/4000000;2,40,0,60,27,2942;2,40,0,61,27,2821
72;C;0,2;1625077/4000000;2,40,0,60,27,2942;2,40,0,61,27,2821
73;C;2,7;576047/2000000;2,28,61,0,27,421;2,28,62,0,22,788
73;C;7,9;5153883/20000000;2,25,62,0,22,188;2,25,63,0,20,231
73;C;9,10;23429781/100000000;4,2342,6208,0,1954,664504;4,2342,6258,0,1750,1552436
73;C;10,11;4623469/20000000;4,2311,6258,0,1750,932436;4,2311,6267,0,1717,1048533
73;L;11,12;4623469/20000000,5571369/25000000;4,2311,6267,0,1717,1048533;8,22285476,63080000,0,15459767,8611422
73;L;12,13;5571369/25000000,22100367/100000000;8,22285476,63080000,0,15459767,8611422;8,22100367,63402631,0,14145312,79123151
73;L;13,14;22100367/100000000,2757937/12500000;8,22100367,63402631,0,14145312,79123151;8,22063496,63475480,0,13848513,14147262
73;L;14,15;2757937/12500000,4402753/20000000;8,22063496,63475480,0,13848513,14147262;10,2201376500,6358000000,0,1342267830,145094182200
73;L;15,16;4402753/20000000,21827549/100000000;10,2201376500,6358000000,0,1342267830,145094182200;8,21827549,64080000,0,11385590,80703800
73;L;16,17;21827549/100000000,21726827/100000000;8,21827549,64080000,0,11385590,80703800;8,21726827,64580000,0,9348502,20711992
73;L;17,18;21726827/100000000,54279/250000;8,21726827,64580000,0,9348502,20711992;8,21711600,65080000,0,7311414,50641208
73;L;18,19;54279/250000,21781867/100000000;8,21711600,65080000,0,7311414,50641208;10,2178186700,6558000000,0,527432459,2386426638
73;L;19,20;21781867/100000000,21888837/100000000;10,2178186700,6558000000,0,527432459,2386426638;8,21888837,65949803,0,3767682,28954943
73;L;20,21;21888837/100000000,21937629/100000000;8,21888837,65949803,0,3767682,28954943;10,2193762900,6608000000,0,323723616,40887769088
73;L;21,22;21937629/100000000,11089443/50000000;10,2193762900,6608000000,0,323723616,40887769088;8,22178886,66580000,0,1200148,89556192
73;L;22,23;11089443/50000000,4470007/20000000;8,22178886,66580000,0,1200148,89556192;8,22350035,66858043,0,67356,12548679
74;C;0,2;1625077/4000000;2,40,0,60,2,4392;2,40,0,61,2,4271
75;C;0,8;28155407/100000000;2,28,0,60,1,1998;2,28,0,62,1,1754
76;C;0,2;1625077/4000000;2,40,0,60,1,4398;2,40,0,61,2,4271
77;C;0,8;28155407/100000000;2,28,0,60,0,2000;2,28,0,62,1,1754
78;C;2,8;28155407/100000000;2,28,61,0,2,1871;2,28,62,0,1,1754
79;C;0,20;54279/250000;2,21,0,36,0,2904;2,21,0,39,0,2679
80;C;0,20;54279/250000;2,21,0,43,0,2351;2,21,0,39,0,2679
81;C;8,20;54279/250000;2,21,0,62,1,354;2,21,0,39,0,2679
82;C;0,2;1625077/4000000;2,40,0,12,27,6398;2,40,0,13,27,6373
83;C;0,20;54279/250000;2,21,0,12,7,3958;2,21,0,14,8,3876
84;C;0,2;1625077/4000000;2,40,0,12,27,6398;2,40,0,13,27,6373
85;C;0,20;54279/250000;2,21,0,12,4,4024;2,21,0,14,8,3876
86;C;2,20;54279/250000;2,21,13,0,27,2573;2,21,14,0,8,3876
87;C;0,2;1625077/4000000;2,40,0,50,2,5492;2,40,0,51,2,5391
88;C;0,20;54279/250000;2,21,0,12,0,4056;2,21,0,14,0,4004
89;C;0,2;1625077/4000000;2,40,0,50,1,5498;2,40,0,51,2,5391
90;C;0,20;54279/250000;2,21,0,12,0,4056;2,21,0,14,0,4004
91;C;2,20;54279/250000;2,21,0,51,2,1591;2,21,0,14,0,4004
92;C;0,2;1625077/4000000;2,40,0,18,27,6218;2,40,0,18,27,6218
93;C;0,20;54279/250000;2,21,0,20,7,3702;2,21,0,22,8,3588
94;C;0,2;1625077/4000000;2,40,0,18,27,6218;2,40,0,18,27,6218
95;C;0,20;54279/250000;2,21,0,15,4,3943;2,21,0,22,8,3588
96;C;2,20;54279/250000;2,21,18,0,27,2418;2,21,22,0,8,3588
97;C;0,2;1625077/4000000;2,40,0,50,8,5372;2,40,0,51,8,5271
98;C;0,2;1625077/4000000;2,40,0,50,8,5372;2,40,0,51,8,5271
99;C;2,20;54279/250000;2,21,0,51,8,1471;2,21,0,14,8,3876
100;C;0,2;1625077/4000000;2,40,0,60,6,4328;2,40,0,61,6,4207
101;C;0,2;1625077/4000000;2,40,0,60,6,4328;2,40,0,61,6,4207
102;C;2,8;28155407/100000000;2,28,61,0,6,1807;2,28,62,0,1,1754
MASS SLACK NUMERATOR 86433299118590887011050501034682623839835688047166679223332215256640270356641261981766240396599511

BIN 10: PPC; (61/48,41/32]; gamma0=597/1000; mass ceiling=48850741/50000000.
GAMMA 0=597/1000;1=13827121875/23021342081;2=2760028425000/4587388753823;3=301/500;4=202348125000/335612338571;5=607/1000;6=153/250;7=680339362500/1110602817137;8=617/1000;9=61154100000/98451574273;10=311/500;11=627/1000;12=6632521875/10553100281;13=11241562500/17850223331;14=79/125;15=637/1000;16=321/500;17=647/1000;18=163/250;19=11129146875/16985972006;20=657/1000;21=123319940625/186412159553;22=331/500;23=667/1000;24=84/125;25=677/1000;26=341/500;27=687/1000;28=8431171875/12229442081;29=173/250;30=697/1000;31=351/500;32=707/1000;33=89/125;34=717/1000;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40372542,40840412;1,2,40840412,40102456;2,3,40102456,39875788;3,4,39875788,39315832;4,5,39315832,32808111;5,6,32808111,27667723;6,7,27667723,27230831;7,8,27230831,24352071;8,9,24352071,22308961;9,10,22308961,22085823;10,11,22085823,21729324;11,12,21729324,21641603;12,13,21641603,21573002;13,14,21573002,21468669;14,15,21468669,21303857;15,16,21303857,21234890;16,17,21234890,21261766;17,18,21261766,21384486;18,19,21384486,21513157;19,20,21513157,21603050;20,21,21603050,21882057;21,22,21882057,21696909;22,23,21696909,19716217;23,24,19716217,17830311;24,25,17830311,16039190;25,26,16039190,14342856;26,27,14342856,12741308;27,28,12741308,12001435;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;252521540303/70147350000,5/13,23021342081/10791900000;-41569711963547
1;0,6,7;4/13,1,7;-2
3;0,3,7;225/416,3,1;-2
4;2,3,7;375/208,49/26,59/96;-409
5;2,3,8;681/416,56/39,59/96;-43
8;1,3,6;67/208,75/26,41/32;-67
9;1,4,10;13670160731/3597300000,3/2,23021342081/10791900000;-1883272074119
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;17/8,1/3,59/96;-1
17;2,3,8;681/416,56/39,59/96;-43
19;0,3,13;171/208,2,1;-1
21;0,3,13;139/416,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;681/416,56/39,59/96;-43
26;1,3,12;171/208,44/13,41/32;-171
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;225/416,3,1;-2
31;2,3,7;583/208,49/26,25/32;-67
33;1,4,12;19424042081/3597300000,1/2,23021342081/10791900000;-2782597074119
35;1,3,6;67/208,75/26,41/32;-67
36;1,4,10;19424042081/3597300000,1/2,23021342081/10791900000;-3681922074119
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;19424042081/3597300000,1/2,23021342081/10791900000;-2782597074119
45;1,4,13;263304447053/46764900000,5/13,23021342081/10791900000;-41569711963547
46;0,3,13;171/208,2,1;-1
48;0,3,13;139/416,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;171/208,44/13,41/32;-171
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;791/208,31/13,33/32;-67
60;0,1,12;1/2,3,1;-1
62;1,3,6;67/208,75/26,41/32;-67
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;8492986003/1348987500,1,23021342081/10791900000;-983947074119
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;171/208,2,1;-1
74;1,4,6;8492986003/1348987500,1,23021342081/10791900000;-983947074119
75;0,3,13;139/416,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;171/208,44/13,41/32;-171
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;370193875439596,201733959506856443100000,10634272231776,49120
6;1,4,12,3;889393628192,2930730835271721300000,2650078497484,224
7;11,4,2,3;2650078497484,14024854505527418700000,10634272231776,3424
11;8,4,6,3;370193875439596,16106634009738766659375,2378510159019,10408
14;5,4,2,3;2378510159019,303848290361945503125,10634272231776,216
15;1,4,12,3;889393628192,2930730835271721300000,2650078497484,224
16;11,4,2,3;2650078497484,14024854505527418700000,10634272231776,3424
18;1,4,13,3;889393628192,18688649923532376900000,370193875439596,1376
20;1,4,6,3;889393628192,2094523290962973871875,2378510159019,440
23;5,4,2,3;2378510159019,303848290361945503125,10634272231776,216
24;1,4,2,3;889393628192,25881134580000000000000,10634272231776,2048
29;1,4,7,3;889393628192,123362804770238852280000,5005262650693344,16064
32;8,4,2,3;5005262650693344,8460166099533147720000,12055412828192,3904
34;1,4,2,3;889393628192,19410850935000000000000,12055412828192,512
38;1,4,6,3;889393628192,7050760860203790975000,1169958342786,184
41;5,4,2,3;1169958342786,2697975000,12055412828192,8
43;1,4,2,3;889393628192,19410850935000000000000,12055412828192,512
44;8,4,2,3;5005262650693344,8460166099533147720000,12055412828192,3904
47;1,4,6,3;889393628192,7050760860203790975000,1169958342786,184
50;5,4,2,3;1169958342786,2697975000,12055412828192,8
51;1,4,9,3;889393628192,123362804770238852280000,5005262650693344,16064
52;8,4,2,3;5005262650693344,8460166099533147720000,12055412828192,3904
56;1,4,7,3;889393628192,22426379908238852280000,1800185989597944,2752
59;8,4,2,3;1800185989597944,18172204308998694360000,5272115132896,7232
61;1,4,2,3;889393628192,4852712733750000000000,5272115132896,256
68;1,4,2,3;889393628192,4852712733750000000000,5272115132896,256
70;1,4,2,3;889393628192,4852712733750000000000,5272115132896,256
71;8,4,2,3;1800185989597944,18172204308998694360000,5272115132896,7232
77;1,4,2,3;889393628192,4852712733750000000000,5272115132896,256
78;1,4,9,3;889393628192,22426379908238852280000,1800185989597944,2752
79;8,4,2,3;1800185989597944,18172204308998694360000,5272115132896,7232
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/12;E/4,5/2/0/2;E/4,2/3/0/12;E/4,3/4/2/12
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/12;E/4,11/8/0/4;E/4,2/11/0/12;E/4,3/12/4/12
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/12;E/4,5/14/0/9;E/4,2/16/0/12;E/4,3/17/9/12
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/12;E/4,11/21/0/4;E/4,2/24/0/12;E/4,3/25/4/12
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/12;E/4,5/32/0/9;E/4,2/35/0/12;E/4,3/36/9/12
24:V/3,1/37/0/1;V/2,3/38/0/12;E/4,1/39/0/1;E/4,2/40/0/12;E/4,3/41/1/12
29:V/3,1/42/0/1;V/7,3/43/0/21;E/4,1/44/0/1;E/4,7/45/0/21;E/4,3/46/1/21
32:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/13;E/4,1/44/0/1;E/4,6/56/0/13;E/4,3/46/1/13
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/13;V/2,3/57/0/28;E/4,5/56/0/13;E/4,2/58/0/28;E/4,3/59/13/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
47:V/3,1/65/0/1;V/6,3/66/0/13;E/4,1/67/0/1;E/4,6/68/0/13;E/4,3/69/1/13
50:V/3,5/66/0/13;V/2,3/51/0/28;E/4,5/68/0/13;E/4,2/53/0/28;E/4,3/70/13/28
51:V/3,1/71/0/1;V/9,3/43/0/21;E/4,1/72/0/1;E/4,9/45/0/21;E/4,3/73/1/21
52:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
56:V/3,1/74/0/1;V/7,3/75/0/7;E/4,1/76/0/1;E/4,7/77/0/7;E/4,3/78/1/7
59:V/3,8/75/0/7;V/2,3/79/0/19;E/4,8/77/0/7;E/4,2/80/0/19;E/4,3/81/7/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/7;V/2,3/79/0/19;E/4,8/77/0/7;E/4,2/80/0/19;E/4,3/81/7/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/7;E/4,1/101/0/1;E/4,9/77/0/7;E/4,3/102/1/7
79:V/3,8/75/0/7;V/2,3/79/0/19;E/4,8/77/0/7;E/4,2/80/0/19;E/4,3/81/7/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;5012807/12500000;2,40,60,60,10,600;2,40,61,61,10,358
1;C;0,12;21641603/100000000;2,21,0,60,0,600;2,21,0,63,0,231
2;C;0,2;5012807/12500000;2,40,60,60,9,638;2,40,61,61,10,358
3;C;0,12;21641603/100000000;2,21,0,60,0,600;2,21,0,63,0,231
4;C;2,4;4914479/12500000;2,39,61,61,10,158;2,39,61,57,9,668
4;L;4,5;4914479/12500000,32808111/100000000;2,39,61,57,9,668;2,32,61,44,8,615
4;L;5,6;32808111/100000000,27667723/100000000;2,32,61,44,8,615;2,27,62,28,6,700
4;C;6,7;27230831/100000000;2,27,62,28,6,700;2,27,62,26,6,808
4;C;7,8;24352071/100000000;2,24,62,26,6,208;2,24,62,12,4,780
4;C;8,9;22308961/100000000;2,22,62,12,4,380;2,22,63,0,3,413
4;C;9,12;21641603/100000000;2,21,63,0,3,213;2,21,63,0,0,231
5;C;0,1;20186271/50000000;2,40,0,26,60,124;4,4037,0,2548,6007,2079598
6;C;0,4;4914479/12500000;2,39,0,19,60,239;4,3931,0,1843,6030,2501551
7;C;0,1;20186271/50000000;2,40,0,26,60,124;4,4037,0,2548,6007,2079598
8;C;0,4;4914479/12500000;2,39,0,19,60,239;4,3931,0,1843,6030,2501551
9;C;1,2;5012807/12500000;4,4010,0,2548,6007,1539598;2,40,0,23,61,29
9;C;2,4;4914479/12500000;4,3931,0,2231,6017,1234061;4,3931,0,1843,6030,2501551
10;C;0,12;21641603/100000000;2,21,0,19,23,2781;2,21,0,20,24,2648
11;C;0,12;21641603/100000000;2,21,0,19,22,2871;2,21,0,20,24,2648
12;L;4,5;4914479/12500000,32808111/100000000;4,3931,1843,0,6030,2501551;4,3280,1855,0,5439,2993533
12;L;5,6;32808111/100000000,27667723/100000000;4,3280,1855,0,5439,2993533;2,27,19,0,48,431
12;C;6,8;24352071/100000000;4,2435,1870,0,4715,740650;2,24,19,0,40,1239
12;C;8,12;21641603/100000000;2,21,19,0,40,639;2,21,20,0,24,2648
13;C;0,9;22308961/100000000;2,22,0,60,3,782;2,22,0,63,3,413
14;C;0,9;22308961/100000000;2,22,0,60,0,800;2,22,0,63,3,413
15;C;0,12;21641603/100000000;2,21,0,41,0,2519;2,21,0,43,0,2351
16;C;0,12;21641603/100000000;2,21,0,42,0,2436;2,21,0,43,0,2351
17;C;9,12;21641603/100000000;2,21,0,63,3,213;2,21,0,43,0,2351
18;L;0,1;20186271/50000000,10210103/25000000;4,4037,0,3069,5970,39439;10,4084041200,0,3087311680,6006218850,842344932600
19;C;0,4;4914479/12500000;4,3931,0,2411,5970,1525279;10,3931583200,0,2434878062,6029221866,204286080244
20;L;0,1;20186271/50000000,10210103/25000000;8,40372542,0,30762449,59700000,131522399;10,4084041200,0,3087311680,6006218850,842344932600
21;C;0,4;4914479/12500000;2,39,0,24,60,24;10,3931583200,0,2434878062,6029221866,204286080244
22;L;1,2;10210103/25000000,5012807/12500000;10,4084041200,0,3087311680,6006218850,842344932600;10,4010245600,0,2794101449,6016556637,1560238600861
22;L;2,3;5012807/12500000,9968947/25000000;10,4010245600,0,2794101449,6016556637,1560238600861;8,39875788,0,26964375,60200000,80859375
22;L;3,4;9968947/25000000,4914479/12500000;8,39875788,0,26964375,60200000,80859375;10,3931583200,0,2434878062,6029221866,204286080244
23;C;0,12;21641603/100000000;2,21,0,30,23,2242;2,21,0,31,24,2087
24;C;0,12;21641603/100000000;2,21,0,28,22,2448;2,21,0,31,24,2087
25;L;4,5;4914479/12500000,32808111/100000000;10,3931583200,2434878062,0,6029221866,204286080244;8,32808111,25406850,0,54388023,81380442
25;L;5,6;32808111/100000000,27667723/100000000;8,32808111,25406850,0,54388023,81380442;2,27,27,0,48,63
25;C;6,7;27230831/100000000;2,27,27,0,48,63;2,27,27,0,47,253
25;L;7,8;27230831/100000000,24352071/100000000;2,27,27,0,47,253;2,24,29,0,40,759
25;C;8,12;21641603/100000000;2,21,29,0,40,159;2,21,31,0,24,2087
26;C;0,1;20186271/50000000;2,40,60,60,12,512;2,40,61,61,12,270
27;C;0,1;20186271/50000000;2,40,60,60,11,558;2,40,61,61,12,270
28;C;1,2;5012807/12500000;2,40,61,61,12,270;2,40,61,61,10,358
29;C;0,1;20186271/50000000;2,40,0,60,43,702;2,40,0,61,43,581
30;C;0,9;22308961/100000000;2,22,0,60,12,512;2,22,0,63,13,93
31;C;0,1;20186271/50000000;2,40,0,60,43,702;2,40,0,61,43,581
32;C;0,9;22308961/100000000;2,22,0,60,11,558;2,22,0,63,13,93
33;C;1,3;9968947/25000000;2,39,61,0,43,381;2,39,61,0,41,717
33;C;3,4;4914479/12500000;2,39,61,0,41,717;2,39,61,0,40,879
33;L;4,5;4914479/12500000,32808111/100000000;2,39,61,0,40,879;2,32,61,0,34,367
33;L;5,6;32808111/100000000,27667723/100000000;2,32,61,0,34,367;2,27,62,0,26,204
33;C;6,7;27230831/100000000;2,27,62,0,26,204;2,27,62,0,26,204
33;L;7,8;27230831/100000000,24352071/100000000;2,27,62,0,26,204;2,24,62,0,19,234
33;L;8,9;24352071/100000000,22308961/100000000;2,24,62,0,19,234;2,22,63,0,13,93
34;C;0,12;21641603/100000000;2,21,0,41,11,2277;2,21,0,43,12,2063
35;C;0,12;21641603/100000000;2,21,0,42,10,2236;2,21,0,43,12,2063
36;C;9,12;21641603/100000000;4,2164,0,6212,1232,1655408;2,21,0,43,12,2063
37;C;0,1;20186271/50000000;2,40,0,60,46,168;2,40,0,61,46,47
38;C;0,12;21641603/100000000;2,21,0,60,7,502;2,21,0,63,8,103
39;C;0,1;20186271/50000000;2,40,0,60,46,168;2,40,0,61,46,47
40;C;0,12;21641603/100000000;2,21,0,60,6,528;2,21,0,63,8,103
41;C;1,3;9968947/25000000;4,3987,6007,0,4547,2305533;2,39,61,0,44,207
41;C;3,4;4914479/12500000;2,39,61,0,44,207;2,39,61,0,43,381
41;L;4,5;4914479/12500000,32808111/100000000;2,39,61,0,43,381;4,3280,6070,0,3675,1743850
41;L;5,6;32808111/100000000,27667723/100000000;4,3280,6070,0,3675,1743850;10,2766772300,6120000000,0,2990070725,118995948750
41;L;6,7;27667723/100000000,27230831/100000000;10,2766772300,6120000000,0,2990070725,118995948750;10,2723083100,6125856625,0,2909943428,1101622827007
41;L;7,8;27230831/100000000,24352071/100000000;10,2723083100,6125856625,0,2909943428,1101622827007;10,2435207100,6170000000,0,2305996722,236250509432
41;L;8,9;24352071/100000000,22308961/100000000;10,2435207100,6170000000,0,2305996722,236250509432;8,22308961,62115919,0,17369582,49075991
41;L;9,10;22308961/100000000,22085823/100000000;8,22308961,62115919,0,17369582,49075991;4,2208,6220,0,1622,209832
41;L;10,11;22085823/100000000,5432331/25000000;4,2208,6220,0,1622,209832;2,21,63,0,10,31
41;C;11,12;21641603/100000000;2,21,63,0,10,31;2,21,63,0,8,103
42;C;0,1;20186271/50000000;2,40,28,60,4,3584;2,40,28,61,4,3463
43;C;0,10;22085823/100000000;2,22,0,60,0,800;2,22,0,63,0,431
43;C;10,15;21303857/100000000;2,21,0,63,0,231;2,21,0,64,0,104
43;C;15,16;2123489/10000000;2,21,0,64,0,104;4,2123,0,6420,0,1243600
43;C;16,17;2123489/10000000;4,2123,0,6420,0,1243600;4,2123,0,6470,0,599100
43;C;17,18;10630883/50000000;4,2126,0,6470,0,659100;4,2126,0,6520,0,9600
43;L;18,19;10692243/50000000,21513157/100000000;4,2138,0,6520,0,249600;4,2151,0,6552,0,91296
43;L;19,20;21513157/100000000,432061/2000000;4,2151,0,6552,0,91296;4,2160,0,6570,0,35100
43;L;20,21;432061/2000000,21882057/100000000;4,2160,0,6570,0,35100;8,21882057,0,66154451,0,12888599
44;C;0,1;20186271/50000000;2,40,60,28,4,3584;2,40,61,28,4,3463
45;C;0,10;22085823/100000000;2,22,0,60,0,800;2,22,0,63,0,431
45;C;10,15;21303857/100000000;2,21,0,63,0,231;2,21,0,64,0,104
45;C;15,16;2123489/10000000;2,21,0,64,0,104;4,2123,0,6420,0,1243600
45;C;16,17;2123489/10000000;4,2123,0,6420,0,1243600;4,2123,0,6470,0,599100
45;C;17,18;10630883/50000000;4,2126,0,6470,0,659100;4,2126,0,6520,0,9600
45;L;18,19;10692243/50000000,21513157/100000000;4,2138,0,6520,0,249600;4,2151,0,6552,0,91296
45;L;19,20;21513157/100000000,432061/2000000;4,2151,0,6552,0,91296;4,2160,0,6570,0,35100
45;L;20,21;432061/2000000,21882057/100000000;4,2160,0,6570,0,35100;8,21882057,0,66154451,0,12888599
46;C;1,6;27667723/100000000;2,27,61,28,4,863;2,27,62,17,4,1235
46;C;6,11;5432331/25000000;2,21,62,17,4,35;2,21,63,2,3,209
46;C;11,16;2123489/10000000;2,21,63,2,3,209;4,2123,6420,0,93,1226302
46;C;16,17;2123489/10000000;4,2123,6420,0,93,1226302;4,2123,6470,0,56,592828
46;C;17,18;10630883/50000000;4,2126,6470,0,56,652828;4,2126,6520,0,18,8952
46;L;18,19;10692243/50000000,21513157/100000000;4,2138,6520,0,18,248952;4,2151,6552,0,0,91296
46;L;19,20;21513157/100000000,432061/2000000;4,2151,6552,0,0,91296;4,2160,6570,0,0,35100
46;L;20,21;432061/2000000,21882057/100000000;4,2160,6570,0,0,35100;8,21882057,66154451,0,0,12888599
47;C;0,28;2400287/20000000;2,12,0,43,0,551;8,12001435,0,48992723,0,93045271
48;C;0,14;21468669/100000000;2,21,0,54,0,1284;2,21,0,53,0,1391
48;C;14,21;2123489/10000000;2,21,0,53,0,1391;2,21,0,51,0,1599
48;C;21,24;17830311/100000000;2,17,0,51,0,799;2,17,0,50,0,900
48;C;24,26;1792857/12500000;2,14,0,50,0,300;2,14,0,50,0,300
48;C;26,27;3185327/25000000;4,1274,0,4940,0,1076400;4,1274,0,4913,0,1342431
48;L;27,28;3185327/25000000,2400287/20000000;4,1274,0,4913,0,1342431;8,12001435,0,48992723,0,93045271
49;L;21,22;21882057/100000000,21696909/100000000;8,21882057,0,66154451,0,12888599;8,21696909,0,65873984,0,31967744
49;L;22,23;21696909/100000000,19716217/100000000;8,21696909,0,65873984,0,31967744;8,19716217,0,62795249,0,103027999
49;L;23,24;19716217/100000000,17830311/100000000;8,19716217,0,62795249,0,103027999;8,17830311,0,59716514,0,155687804
49;L;24,25;17830311/100000000,1603919/10000000;8,17830311,0,59716514,0,155687804;10,1603919000,0,5663777873,0,205315595871
49;L;25,26;1603919/10000000,1792857/12500000;10,1603919000,0,5663777873,0,205315595871;8,14342856,0,53559044,0,5806064
49;L;26,27;1792857/12500000,3185327/25000000;8,14342856,0,53559044,0,5806064;8,12741308,0,50480309,0,3264519
49;L;27,28;3185327/25000000,2400287/20000000;8,12741308,0,50480309,0,3264519;8,12001435,0,48992723,0,93045271
50;C;0,1;20186271/50000000;2,40,0,14,46,3572;2,40,0,14,46,3572
51;C;0,28;2400287/20000000;2,12,0,14,8,2076;2,12,0,16,9,1982
52;C;0,1;20186271/50000000;2,40,0,14,46,3572;2,40,0,14,46,3572
53;C;0,28;2400287/20000000;2,12,0,14,3,2186;2,12,0,16,9,1982
54;C;1,7;27230831/100000000;2,27,14,0,46,972;2,27,15,0,41,1813
54;C;7,14;21468669/100000000;2,21,15,0,41,613;2,21,15,0,33,1797
54;C;14,28;2400287/20000000;4,1200,1449,0,3267,553821;2,12,16,0,9,1982
55;C;0,13;10786501/50000000;2,21,0,60,2,592;2,21,0,63,2,223
56;C;0,13;10786501/50000000;2,21,0,60,0,600;2,21,0,63,2,223
57;C;0,28;2400287/20000000;2,12,0,14,0,2204;2,12,0,16,0,2144
58;C;0,28;2400287/20000000;2,12,0,14,0,2204;2,12,0,16,0,2144
59;C;13,20;2123489/10000000;2,21,0,63,2,223;2,21,0,42,0,2436
59;C;20,28;2400287/20000000;2,12,0,42,0,636;2,12,0,16,0,2144
60;C;0,1;20186271/50000000;2,40,0,20,46,3368;2,40,0,20,46,3368
61;C;0,28;2400287/20000000;2,12,0,24,8,1696;2,12,0,28,9,1454
62;C;0,1;20186271/50000000;2,40,0,20,46,3368;2,40,0,20,46,3368
63;C;0,28;2400287/20000000;2,12,0,18,3,2058;2,12,0,28,9,1454
64;C;1,7;27230831/100000000;2,27,20,0,46,768;2,27,21,0,41,1597
64;C;7,14;21468669/100000000;2,21,21,0,41,397;2,21,23,0,33,1493
64;C;14,21;2123489/10000000;2,21,23,0,33,1493;2,21,25,0,21,2693
64;C;21,28;2400287/20000000;2,12,25,0,21,893;2,12,28,0,9,1454
65;C;0,1;20186271/50000000;2,40,0,60,23,3342;2,40,0,61,23,3221
66;C;0,13;10786501/50000000;2,21,0,60,9,438;2,21,0,63,10,31
67;C;0,1;20186271/50000000;2,40,0,60,23,3342;2,40,0,61,23,3221
68;C;0,13;10786501/50000000;2,21,0,60,8,472;2,21,0,63,10,31
69;C;1,7;27230831/100000000;2,27,61,0,23,621;2,27,62,0,18,908
69;C;7,10;22085823/100000000;4,2208,6126,0,1728,660156;2,22,63,0,13,93
69;C;10,13;10786501/50000000;4,2157,6220,0,1293,1107902;2,21,63,0,10,31
70;C;13,20;2123489/10000000;2,21,0,63,10,31;2,21,0,42,9,2274
70;C;20,28;2400287/20000000;2,12,0,42,9,474;2,12,0,16,9,1982
71;C;0,1;20186271/50000000;2,40,0,60,26,3048;2,40,0,61,26,2927
72;C;0,1;20186271/50000000;2,40,0,60,26,3048;2,40,0,61,26,2927
73;C;1,6;27667723/100000000;2,27,61,0,26,327;2,27,62,0,21,674
73;C;6,8;24352071/100000000;2,24,62,0,21,74;2,24,62,0,19,234
73;L;8,9;24352071/100000000,22308961/100000000;2,24,62,0,19,234;4,2230,6212,0,1693,278558
73;L;9,10;22308961/100000000,22085823/100000000;4,2230,6212,0,1693,278558;8,22085823,62200000,0,16557846,71680568
73;L;10,11;22085823/100000000,5432331/25000000;8,22085823,62200000,0,16557846,71680568;8,21729324,62700000,0,14397478,54479032
73;L;11,12;5432331/25000000,21641603/100000000;8,21729324,62700000,0,14397478,54479032;8,21641603,62849037,0,13753529,28264949
73;L;12,13;21641603/100000000,10786501/50000000;8,21641603,62849037,0,13753529,28264949;8,21573002,62977154,0,13199971,5258602
73;L;13,14;10786501/50000000,21468669/100000000;8,21573002,62977154,0,13199971,5258602;8,21468669,63200000,0,12237109,126644238
73;L;14,15;21468669/100000000,21303857/100000000;8,21468669,63200000,0,12237109,126644238;10,2130385700,6370000000,0,1007674040,58220156800
73;L;15,16;21303857/100000000,2123489/10000000;10,2130385700,6370000000,0,1007674040,58220156800;8,21234890,64200000,0,7916373,77049742
73;L;16,17;2123489/10000000,10630883/50000000;8,21234890,64200000,0,7916373,77049742;8,21261766,64700000,0,5756004,35903968
73;L;17,18;10630883/50000000,10692243/50000000;8,21261766,64700000,0,5756004,35903968;8,21384486,65200000,0,3595636,3511008
73;L;18,19;10692243/50000000,21513157/100000000;8,21384486,65200000,0,3595636,3511008;10,2151315700,6551963510,0,221457626,1203401368148
73;L;19,20;21513157/100000000,432061/2000000;10,2151315700,6551963510,0,221457626,1203401368148;8,21603050,65700000,0,1435267,17277422
73;L;20,21;432061/2000000,21882057/100000000;8,21603050,65700000,0,1435267,17277422;8,21882057,66154451,0,0,12888599
74;C;0,1;20186271/50000000;2,40,0,60,1,4398;2,40,0,61,1,4277
75;C;0,7;27230831/100000000;2,27,0,60,1,1798;2,27,0,62,1,1554
76;C;0,1;20186271/50000000;2,40,0,60,1,4398;2,40,0,61,1,4277
77;C;0,7;27230831/100000000;2,27,0,60,0,1800;2,27,0,62,1,1554
78;C;1,7;27230831/100000000;2,27,61,0,1,1677;2,27,62,0,1,1554
79;C;0,19;2123489/10000000;2,21,0,35,0,2975;2,21,0,38,0,2756
80;C;0,19;2123489/10000000;2,21,0,42,0,2436;2,21,0,38,0,2756
81;C;7,19;2123489/10000000;2,21,0,62,1,354;2,21,0,38,0,2756
82;C;0,1;20186271/50000000;2,40,0,11,26,6527;2,40,0,12,26,6504
83;C;0,19;2123489/10000000;2,21,0,11,6,4007;2,21,0,13,7,3933
84;C;0,1;20186271/50000000;2,40,0,11,26,6527;2,40,0,12,26,6504
85;C;0,19;2123489/10000000;2,21,0,11,3,4061;2,21,0,13,7,3933
86;C;1,19;2123489/10000000;2,21,12,0,26,2704;2,21,13,0,7,3933
87;C;0,1;20186271/50000000;2,40,0,49,1,5597;2,40,0,50,1,5498
88;C;0,19;2123489/10000000;2,21,0,11,0,4079;2,21,0,13,0,4031
89;C;0,1;20186271/50000000;2,40,0,50,1,5498;2,40,0,50,1,5498
90;C;0,19;2123489/10000000;2,21,0,11,0,4079;2,21,0,13,0,4031
91;C;1,19;2123489/10000000;2,21,0,50,1,1698;2,21,0,13,0,4031
92;C;0,1;20186271/50000000;2,40,0,18,26,6324;2,40,0,18,26,6324
93;C;0,19;2123489/10000000;2,21,0,19,6,3767;2,21,0,21,7,3661
94;C;0,1;20186271/50000000;2,40,0,17,26,6359;2,40,0,18,26,6324
95;C;0,19;2123489/10000000;2,21,0,15,3,3957;2,21,0,21,7,3661
96;C;1,19;2123489/10000000;2,21,18,0,26,2524;2,21,21,0,7,3661
97;C;0,1;20186271/50000000;2,40,0,49,7,5501;2,40,0,50,7,5402
98;C;0,1;20186271/50000000;2,40,0,50,7,5402;2,40,0,50,7,5402
99;C;1,19;2123489/10000000;2,21,0,50,7,1602;2,21,0,13,7,3933
100;C;0,1;20186271/50000000;2,40,0,60,5,4350;2,40,0,61,5,4229
101;C;0,1;20186271/50000000;2,40,0,60,5,4350;2,40,0,61,5,4229
102;C;1,7;27230831/100000000;2,27,61,0,5,1629;2,27,62,0,1,1554
MASS SLACK NUMERATOR 288617161591900901420306002667751969490154428727256821991384441992439294039035368838482245682915289474006679221

BIN 11: PPC; (41/32,31/24]; gamma0=2991/5000; mass ceiling=19627349/20000000.
GAMMA 0=2991/5000;1=13939537500/23161967081;2=698775525000/1159224911687;3=377/625;4=51261525000/84855217199;5=3041/5000;6=86260256250/140829134239;7=1533/2500;8=3091/5000;9=1199100000/1924924699;10=779/1250;11=3141/5000;12=11391450000/18065792081;13=6744937500/10693725281;14=1583/2500;15=3191/5000;16=402/625;17=3241/5000;18=1633/2500;19=5620781250/8563298503;20=3291/5000;21=125755612500/190188822053;22=829/1250;23=3341/5000;24=1683/2500;25=3391/5000;26=427/625;27=3441/5000;28=8543587500/12370067081;29=1733/2500;30=3491/5000;31=879/1250;32=3541/5000;33=1783/2500;34=3591/5000;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40326772,40794188;1,2,40794188,40140312;2,3,40140312,39887815;3,4,39887815,39367652;4,5,39367652,32991635;5,6,32991635,28382346;6,7,28382346,27869810;7,8,27869810,24619507;8,9,24619507,22357197;9,10,22357197,22253373;10,11,22253373,21709658;11,12,21709658,21581731;12,13,21581731,21572613;13,14,21572613,21463319;14,15,21463319,21313079;15,16,21313079,21258939;16,17,21258939,21300897;17,18,21300897,21438954;18,19,21438954,21576773;19,20,21576773,21673110;20,21,21673110,21860233;21,22,21860233,21044966;22,23,21044966,19060517;23,24,19060517,17174320;24,25,17174320,15386376;25,26,15386376,13696683;26,27,13696683,12105243;27,28,12105243,11356457;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;254349665303/70147350000,5/13,23161967081/10791900000;-210269755336841
1;0,6,7;4/13,1,7;-2
3;0,3,7;53/104,3,1;-2
4;2,3,7;97/52,49/26,5/8;-33
5;2,3,8;527/312,56/39,5/8;-29
8;1,3,6;47/156,75/26,31/24;-47
9;1,4,10;13810785731/3597300000,3/2,23161967081/10791900000;-9602606179757
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;13/6,1/3,5/8;-1
17;2,3,8;527/312,56/39,5/8;-29
19;0,3,13;125/156,2,1;-1
21;0,3,13;101/312,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;527/312,56/39,5/8;-29
26;1,3,12;125/156,44/13,31/24;-125
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;53/104,3,1;-2
31;2,3,7;149/52,49/26,19/24;-47
33;1,4,12;19564667081/3597300000,1/2,23161967081/10791900000;-14099231179757
35;1,3,6;47/156,75/26,31/24;-47
36;1,4,10;19564667081/3597300000,1/2,23161967081/10791900000;-18595856179757
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;19564667081/3597300000,1/2,23161967081/10791900000;-14099231179757
45;1,4,13;265132572053/46764900000,5/13,23161967081/10791900000;-210269755336841
46;0,3,13;125/156,2,1;-1
48;0,3,13;101/312,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;125/156,44/13,31/24;-125
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;201/52,31/13,25/24;-47
60;0,1,12;1/2,3,1;-1
62;1,3,6;47/156,75/26,31/24;-47
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;8563298503/1348987500,1,23161967081/10791900000;-5105981179757
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;125/156,2,1;-1
74;1,4,6;8563298503/1348987500,1,23161967081/10791900000;-5105981179757
75;0,3,13;101/312,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;125/156,44/13,31/24;-125
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;461689178499172,1016213412013256589300000,4639347158744,1032
6;1,4,12,3;3361951685832,13983672127060143900000,3340893810388,40
7;11,4,2,3;3340893810388,70704550564481276100000,4639347158744,72
11;8,4,6,3;461689178499172,80717047868961651853125,714150675873,1958
14;5,4,2,3;714150675873,1573642517763869634375,4639347158744,14
15;1,4,12,3;3361951685832,13983672127060143900000,3340893810388,40
16;11,4,2,3;3340893810388,70704550564481276100000,4639347158744,72
18;1,4,13,3;3361951685832,84733482976781870700000,461689178499172,232
20;1,4,6,3;3361951685832,10409805637693138490625,714150675873,246
23;5,4,2,3;714150675873,1573642517763869634375,4639347158744,14
24;1,4,2,3;3361951685832,129405672900000000000000,4639347158744,128
29;1,4,7,3;3361951685832,606362303882138244840000,18696068270716824,8880
32;8,4,2,3;18696068270716824,51541313368377755160000,45752534885832,2352
34;1,4,2,3;3361951685832,97054254675000000000000,45752534885832,288
38;1,4,6,3;3361951685832,34751317764045107925000,8767397657187,102
41;5,4,2,3;8767397657187,2697975000,45752534885832,6
43;1,4,2,3;3361951685832,97054254675000000000000,45752534885832,288
44;8,4,2,3;18696068270716824,51541313368377755160000,45752534885832,2352
47;1,4,6,3;3361951685832,34751317764045107925000,8767397657187,102
50;5,4,2,3;8767397657187,2697975000,45752534885832,6
51;1,4,9,3;3361951685832,606362303882138244840000,18696068270716824,8880
52;8,4,2,3;18696068270716824,51541313368377755160000,45752534885832,2352
56;1,4,7,3;3361951685832,101680179572138244840000,6290756622478224,1392
59;8,4,2,3;6290756622478224,95748189355897039080000,19928643420216,4224
61;1,4,2,3;3361951685832,24263563668750000000000,19928643420216,144
68;1,4,2,3;3361951685832,24263563668750000000000,19928643420216,144
70;1,4,2,3;3361951685832,24263563668750000000000,19928643420216,144
71;8,4,2,3;6290756622478224,95748189355897039080000,19928643420216,4224
77;1,4,2,3;3361951685832,24263563668750000000000,19928643420216,144
78;1,4,9,3;3361951685832,101680179572138244840000,6290756622478224,1392
79;8,4,2,3;6290756622478224,95748189355897039080000,19928643420216,4224
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/13;E/4,5/2/0/2;E/4,2/3/0/13;E/4,3/4/2/13
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/13;E/4,11/8/0/4;E/4,2/11/0/13;E/4,3/12/4/13
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/13;E/4,5/14/0/9;E/4,2/16/0/13;E/4,3/17/9/13
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/13;E/4,11/21/0/4;E/4,2/24/0/13;E/4,3/25/4/13
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/13;E/4,5/32/0/9;E/4,2/35/0/13;E/4,3/36/9/13
24:V/3,1/37/0/1;V/2,3/38/0/13;E/4,1/39/0/1;E/4,2/40/0/13;E/4,3/41/1/13
29:V/3,1/42/0/1;V/7,3/43/0/21;E/4,1/44/0/1;E/4,7/45/0/21;E/4,3/46/1/21
32:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/12;E/4,1/44/0/1;E/4,6/56/0/12;E/4,3/46/1/12
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/12;V/2,3/57/0/28;E/4,5/56/0/12;E/4,2/58/0/28;E/4,3/59/12/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
47:V/3,1/65/0/1;V/6,3/66/0/12;E/4,1/67/0/1;E/4,6/68/0/12;E/4,3/69/1/12
50:V/3,5/66/0/12;V/2,3/51/0/28;E/4,5/68/0/12;E/4,2/53/0/28;E/4,3/70/12/28
51:V/3,1/71/0/1;V/9,3/43/0/21;E/4,1/72/0/1;E/4,9/45/0/21;E/4,3/73/1/21
52:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
56:V/3,1/74/0/1;V/7,3/75/0/6;E/4,1/76/0/1;E/4,7/77/0/6;E/4,3/78/1/6
59:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/6;E/4,1/101/0/1;E/4,9/77/0/6;E/4,3/102/1/6
79:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;5017539/12500000;2,40,60,60,9,638;2,40,61,61,9,396
1;C;0,13;21572613/100000000;2,21,0,60,1,598;2,21,0,64,1,102
2;C;0,2;5017539/12500000;2,40,60,60,9,638;2,40,61,61,9,396
3;C;0,13;21572613/100000000;2,21,0,60,0,600;2,21,0,64,1,102
4;C;2,4;9841913/25000000;2,39,61,61,9,196;2,39,61,57,9,668
4;L;4,5;9841913/25000000,6598327/20000000;2,39,61,57,9,668;2,32,61,44,8,615
4;L;5,6;6598327/20000000,14191173/50000000;2,32,61,44,8,615;2,28,62,31,6,723
4;C;6,7;2786981/10000000;2,27,62,31,6,523;2,27,62,29,6,643
4;C;7,8;24619507/100000000;2,24,62,29,6,43;2,24,62,13,5,737
4;C;8,10;22253373/100000000;2,22,62,13,5,337;2,22,63,0,3,413
4;C;10,13;21572613/100000000;2,21,63,0,3,213;2,21,64,0,1,102
5;C;0,1;10081693/25000000;2,40,0,25,60,175;4,4032,0,2443,6019,2215029
6;C;0,4;9841913/25000000;2,39,0,18,60,276;2,39,0,18,61,34
7;C;0,1;10081693/25000000;2,40,0,25,60,175;4,4032,0,2443,6019,2215029
8;C;0,4;9841913/25000000;2,39,0,18,60,276;2,39,0,18,61,34
9;C;1,4;9841913/25000000;4,3936,0,2443,6019,295029;2,39,0,18,61,34
10;C;0,13;21572613/100000000;2,21,0,18,22,2908;2,21,0,19,23,2781
11;C;0,13;21572613/100000000;2,21,0,18,21,2994;2,21,0,19,23,2781
12;L;4,5;9841913/25000000,6598327/20000000;2,39,18,0,61,34;2,32,18,0,55,26
12;L;5,6;6598327/20000000,14191173/50000000;2,32,18,0,55,26;2,28,18,0,49,474
12;C;6,7;2786981/10000000;2,27,18,0,49,274;2,27,18,0,48,468
12;C;7,8;24619507/100000000;4,2461,1789,0,4759,723317;2,24,19,0,41,1077
12;C;8,13;21572613/100000000;2,21,19,0,41,477;2,21,19,0,23,2781
13;C;0,9;22357197/100000000;2,22,0,60,3,782;2,22,0,63,3,413
14;C;0,9;22357197/100000000;2,22,0,60,0,800;2,22,0,63,3,413
15;C;0,13;21572613/100000000;2,21,0,41,1,2517;2,21,0,43,1,2349
16;C;0,13;21572613/100000000;2,21,0,42,0,2436;2,21,0,43,1,2349
17;C;9,13;21572613/100000000;2,21,0,63,3,213;2,21,0,43,1,2349
18;L;0,1;10081693/25000000,10198547/25000000;4,4032,0,3007,5982,29303;10,4079418800,0,3024699662,6018287416,1111529171644
19;C;0,4;9841913/25000000;2,39,0,24,60,24;10,3936765200,0,2397196530,6041057544,296717335228
20;L;0,1;10081693/25000000,10198547/25000000;8,40326772,0,30141159,59820000,134136719;10,4079418800,0,3024699662,6018287416,1111529171644
21;C;0,4;9841913/25000000;2,39,0,24,60,24;10,3936765200,0,2397196530,6041057544,296717335228
22;L;1,2;10198547/25000000,5017539/12500000;10,4079418800,0,3024699662,6018287416,1111529171644;8,40140312,0,27582871,60279547,54346941
22;L;2,3;5017539/12500000,7977563/20000000;8,40140312,0,27582871,60279547,54346941;8,39887815,0,26468059,60320000,52772519
22;L;3,4;7977563/20000000,9841913/25000000;8,39887815,0,26468059,60320000,52772519;10,3936765200,0,2397196530,6041057544,296717335228
23;C;0,13;21572613/100000000;2,21,0,30,22,2332;2,21,0,31,23,2181
24;C;0,13;21572613/100000000;2,21,0,28,21,2534;2,21,0,31,23,2181
25;L;4,5;9841913/25000000,6598327/20000000;10,3936765200,2397196530,0,6041057544,296717335228;8,32991635,25052071,0,54638451,83252157
25;L;5,6;6598327/20000000,14191173/50000000;8,32991635,25052071,0,54638451,83252157;2,28,27,0,49,69
25;C;6,7;2786981/10000000;4,2786,2620,0,4856,1694128;2,27,27,0,48,63
25;L;7,8;2786981/10000000,24619507/100000000;2,27,27,0,48,63;2,24,28,0,41,654
25;C;8,13;21572613/100000000;2,21,28,0,41,54;2,21,31,0,23,2181
26;C;0,1;10081693/25000000;2,40,60,60,11,558;2,40,61,61,11,316
27;C;0,1;10081693/25000000;2,40,60,60,11,558;2,40,61,61,11,316
28;C;1,2;5017539/12500000;2,40,61,61,11,316;2,40,61,61,9,396
29;C;0,1;10081693/25000000;2,40,0,60,43,702;2,40,0,61,43,581
30;C;0,9;22357197/100000000;2,22,0,60,12,512;2,22,0,63,12,143
31;C;0,1;10081693/25000000;2,40,0,60,43,702;2,40,0,61,43,581
32;C;0,9;22357197/100000000;2,22,0,60,11,558;2,22,0,63,12,143
33;C;1,3;7977563/20000000;2,39,61,0,43,381;2,39,61,0,41,717
33;C;3,4;9841913/25000000;2,39,61,0,41,717;2,39,61,0,40,879
33;L;4,5;9841913/25000000,6598327/20000000;2,39,61,0,40,879;2,32,61,0,34,367
33;L;5,6;6598327/20000000,14191173/50000000;2,32,61,0,34,367;2,28,62,0,27,298
33;C;6,7;2786981/10000000;2,27,62,0,27,98;2,27,62,0,26,204
33;L;7,8;2786981/10000000,24619507/100000000;2,27,62,0,26,204;2,24,62,0,19,234
33;L;8,9;24619507/100000000,22357197/100000000;2,24,62,0,19,234;2,22,63,0,12,143
34;C;0,13;21572613/100000000;2,21,0,41,11,2277;2,21,0,43,11,2109
35;C;0,13;21572613/100000000;2,21,0,42,9,2274;2,21,0,43,11,2109
36;C;9,13;21572613/100000000;4,2157,0,6230,1181,1537578;2,21,0,43,11,2109
37;C;0,1;10081693/25000000;2,40,0,60,45,350;2,40,0,61,46,47
38;C;0,13;21572613/100000000;2,21,0,60,7,502;2,21,0,64,7,6
39;C;0,1;10081693/25000000;2,40,0,60,45,350;2,40,0,61,46,47
40;C;0,13;21572613/100000000;2,21,0,60,5,550;2,21,0,64,7,6
41;C;1,4;9841913/25000000;4,3936,6019,0,4522,1594671;2,39,61,0,43,381
41;L;4,5;9841913/25000000,6598327/20000000;2,39,61,0,43,381;4,3299,6082,0,3676,1963324
41;L;5,6;6598327/20000000,14191173/50000000;4,3299,6082,0,3676,1963324;8,28382346,61251713,0,31021741,25223469
41;L;6,7;14191173/50000000,2786981/10000000;8,28382346,61251713,0,31021741,25223469;10,2786981000,6132000000,0,3011494313,5537316062
41;L;7,8;2786981/10000000,24619507/100000000;10,2786981000,6132000000,0,3011494313,5537316062;8,24619507,61820000,0,23475400,189680000
41;L;8,9;24619507/100000000,22357197/100000000;8,24619507,61820000,0,23475400,189680000;10,2235719700,6229334585,0,1718979964,394855995183
41;L;9,10;22357197/100000000,22253373/100000000;10,2235719700,6229334585,0,1718979964,394855995183;8,22253373,62320000,0,16835857,38151102
41;L;10,11;22253373/100000000,10854829/50000000;8,22253373,62320000,0,16835857,38151102;4,2170,6282,0,1020,1855676
41;C;11,13;21572613/100000000;4,2157,6282,0,1020,1595676;2,21,64,0,7,6
42;C;0,1;10081693/25000000;2,40,28,60,4,3584;2,40,28,61,4,3463
43;C;0,10;22253373/100000000;2,22,0,60,0,800;2,22,0,63,0,431
43;C;10,15;21313079/100000000;2,21,0,63,0,231;2,21,0,64,0,104
43;C;15,16;21258939/100000000;2,21,0,64,0,104;4,2125,0,6432,0,1129376
43;C;16,17;21258939/100000000;4,2125,0,6432,0,1129376;4,2125,0,6482,0,483676
43;L;17,18;21300897/100000000,10719477/50000000;4,2130,0,6482,0,583676;4,2143,0,6532,0,192976
43;L;18,19;10719477/50000000,21576773/100000000;4,2143,0,6532,0,192976;4,2157,0,6564,0,53904
43;L;19,20;21576773/100000000,2167311/10000000;4,2157,0,6564,0,53904;4,2167,0,6582,0,17276
43;L;20,21;2167311/10000000,21860233/100000000;4,2167,0,6582,0,17276;8,21860233,0,66121453,0,53168791
44;C;0,1;10081693/25000000;2,40,60,28,4,3584;2,40,61,28,4,3463
45;C;0,10;22253373/100000000;2,22,0,60,0,800;2,22,0,63,0,431
45;C;10,15;21313079/100000000;2,21,0,63,0,231;2,21,0,64,0,104
45;C;15,16;21258939/100000000;2,21,0,64,0,104;4,2125,0,6432,0,1129376
45;C;16,17;21258939/100000000;4,2125,0,6432,0,1129376;4,2125,0,6482,0,483676
45;L;17,18;21300897/100000000,10719477/50000000;4,2130,0,6482,0,583676;4,2143,0,6532,0,192976
45;L;18,19;10719477/50000000,21576773/100000000;4,2143,0,6532,0,192976;4,2157,0,6564,0,53904
45;L;19,20;21576773/100000000,2167311/10000000;4,2157,0,6564,0,53904;4,2167,0,6582,0,17276
45;L;20,21;2167311/10000000,21860233/100000000;4,2167,0,6582,0,17276;8,21860233,0,66121453,0,53168791
46;C;1,6;14191173/50000000;2,28,61,28,4,1063;2,28,62,17,4,1435
46;C;6,11;10854829/50000000;2,21,62,17,4,35;2,21,63,2,3,209
46;C;11,16;21258939/100000000;2,21,63,2,3,209;4,2125,6432,0,103,1108158
46;C;16,17;21258939/100000000;4,2125,6432,0,103,1108158;4,2125,6482,0,69,474154
46;L;17,18;21300897/100000000,10719477/50000000;4,2130,6482,0,69,574154;4,2143,6532,0,34,190664
46;L;18,19;10719477/50000000,21576773/100000000;4,2143,6532,0,34,190664;4,2157,6564,0,12,53616
46;L;19,20;21576773/100000000,2167311/10000000;4,2157,6564,0,12,53616;4,2167,6582,0,0,17276
46;L;20,21;2167311/10000000,21860233/100000000;4,2167,6582,0,0,17276;8,21860233,66121453,0,0,53168791
47;C;0,28;11356457/100000000;2,11,0,42,0,436;8,11356457,0,47658067,0,49823511
48;C;0,14;21463319/100000000;2,21,0,53,0,1391;2,21,0,51,0,1599
48;C;14,21;21258939/100000000;2,21,0,51,0,1599;2,21,0,50,0,1700
48;C;21,24;214679/1250000;2,17,0,50,0,900;2,17,0,49,0,999
48;C;24,26;13696683/100000000;2,13,0,49,0,199;2,13,0,49,0,199
48;C;26,27;12105243/100000000;4,1210,0,4808,0,1083136;2,12,0,48,0,96
48;L;27,28;12105243/100000000,11356457/100000000;2,12,0,48,0,96;8,11356457,0,47658067,0,49823511
49;L;21,22;21860233/100000000,10522483/50000000;8,21860233,0,66121453,0,53168791;10,2104496600,0,6487675343,0,643829832351
49;L;22,23;10522483/50000000,19060517/100000000;10,2104496600,0,6487675343,0,643829832351;10,1906051700,0,6174223301,0,629388663399
49;L;23,24;19060517/100000000,214679/1250000;10,1906051700,0,6174223301,0,629388663399;10,1717432000,0,5860771258,0,261401097436
49;L;24,25;214679/1250000,1923297/12500000;10,1717432000,0,5860771258,0,261401097436;8,15386376,0,55473193,0,58384751
49;L;25,26;1923297/12500000,13696683/100000000;8,15386376,0,55473193,0,58384751;8,13696683,0,52338672,0,13276416
49;L;26,27;13696683/100000000,12105243/100000000;8,13696683,0,52338672,0,13276416;8,12105243,0,49204152,0,25960896
49;L;27,28;12105243/100000000,11356457/100000000;8,12105243,0,49204152,0,25960896;8,11356457,0,47658067,0,49823511
50;C;0,1;10081693/25000000;2,40,0,14,46,3572;2,40,0,14,46,3572
51;C;0,28;11356457/100000000;2,11,0,14,7,1906;2,11,0,16,9,1782
52;C;0,1;10081693/25000000;2,40,0,14,46,3572;2,40,0,14,46,3572
53;C;0,28;11356457/100000000;2,11,0,14,3,1986;2,11,0,16,9,1782
54;C;1,7;2786981/10000000;2,27,14,0,46,972;2,27,14,0,41,1842
54;C;7,14;21463319/100000000;2,21,14,0,41,642;2,21,14,0,33,1826
54;C;14,21;21258939/100000000;2,21,14,0,33,1826;2,21,15,0,21,3093
54;C;21,28;11356457/100000000;2,11,15,0,21,1093;2,11,16,0,9,1782
55;C;0,12;21581731/100000000;2,21,0,60,2,592;2,21,0,64,2,96
56;C;0,12;21581731/100000000;2,21,0,60,0,600;2,21,0,64,2,96
57;C;0,28;11356457/100000000;2,11,0,14,0,2004;2,11,0,16,0,1944
58;C;0,28;11356457/100000000;2,11,0,14,0,2004;2,11,0,16,0,1944
59;C;12,20;21258939/100000000;2,21,0,64,2,96;2,21,0,42,0,2436
59;C;20,28;11356457/100000000;2,11,0,42,0,436;2,11,0,16,0,1944
60;C;0,1;10081693/25000000;2,40,0,20,46,3368;2,40,0,20,46,3368
61;C;0,28;11356457/100000000;2,11,0,24,7,1526;2,11,0,28,9,1254
62;C;0,1;10081693/25000000;2,40,0,20,46,3368;2,40,0,20,46,3368
63;C;0,28;11356457/100000000;2,11,0,18,3,1858;2,11,0,28,9,1254
64;C;1,7;2786981/10000000;2,27,20,0,46,768;2,27,21,0,41,1597
64;C;7,14;21463319/100000000;2,21,21,0,41,397;2,21,23,0,33,1493
64;C;14,21;21258939/100000000;2,21,23,0,33,1493;2,21,25,0,21,2693
64;C;21,28;11356457/100000000;2,11,25,0,21,693;2,11,28,0,9,1254
65;C;0,1;10081693/25000000;2,40,0,60,23,3342;2,40,0,61,23,3221
66;C;0,12;21581731/100000000;2,21,0,60,9,438;4,2158,0,6306,894,1795892
67;C;0,1;10081693/25000000;2,40,0,60,23,3342;2,40,0,61,23,3221
68;C;0,12;21581731/100000000;2,21,0,60,7,502;4,2158,0,6306,894,1795892
69;C;1,6;14191173/50000000;2,28,61,0,23,821;2,28,62,0,18,1108
69;C;6,9;22357197/100000000;4,2235,6126,0,1731,1179402;2,22,63,0,13,93
69;C;9,12;21581731/100000000;4,2158,6230,0,1247,1237082;4,2158,6306,0,894,1795892
70;C;12,20;21258939/100000000;4,2125,0,6306,894,1135892;2,21,0,42,9,2274
70;C;20,28;11356457/100000000;2,11,0,42,9,274;2,11,0,16,9,1782
71;C;0,1;10081693/25000000;2,40,0,60,26,3048;2,40,0,61,26,2927
72;C;0,1;10081693/25000000;2,40,0,60,26,3048;2,40,0,61,26,2927
73;C;1,6;14191173/50000000;2,28,61,0,26,527;2,28,62,0,21,874
73;C;6,8;24619507/100000000;2,24,62,0,21,74;2,24,62,0,19,234
73;L;8,9;24619507/100000000,22357197/100000000;2,24,62,0,19,234;4,2235,6230,0,1635,540650
73;C;9,10;22253373/100000000;4,2225,6230,0,1635,340650;4,2225,6232,0,1623,393918
73;L;10,11;22253373/100000000,10854829/50000000;4,2225,6232,0,1623,393918;8,21709658,62820000,0,14063767,115539422
73;L;11,12;10854829/50000000,21581731/100000000;8,21709658,62820000,0,14063767,115539422;8,21581731,63055359,0,13045455,109067069
73;L;12,13;21581731/100000000,21572613/100000000;8,21581731,63055359,0,13045455,109067069;8,21572613,63073787,0,12965723,47653173
73;L;13,14;21572613/100000000,21463319/100000000;8,21572613,63073787,0,12965723,47653173;8,21463319,63320000,0,11900449,27196798
73;L;14,15;21463319/100000000,21313079/100000000;8,21463319,63320000,0,11900449,27196798;10,2131307900,6382000000,0,973712974,88528150648
73;L;15,16;21313079/100000000,21258939/100000000;10,2131307900,6382000000,0,973712974,88528150648;8,21258939,64320000,0,7573812,143577312
73;L;16,17;21258939/100000000,21300897/100000000;8,21258939,64320000,0,7573812,143577312;8,21300897,64820000,0,5410493,130993902
73;L;17,18;21300897/100000000,10719477/50000000;8,21300897,64820000,0,5410493,130993902;8,21438954,65320000,0,3247175,109038750
73;L;18,19;10719477/50000000,21576773/100000000;8,21438954,65320000,0,3247175,109038750;8,21576773,65638040,0,1871134,20066488
73;L;19,20;21576773/100000000,2167311/10000000;8,21576773,65638040,0,1871134,20066488;8,21673110,65820000,0,1083857,108007102
73;L;20,21;2167311/10000000,21860233/100000000;8,21673110,65820000,0,1083857,108007102;8,21860233,66121453,0,0,53168791
74;C;0,1;10081693/25000000;2,40,0,60,1,4398;2,40,0,61,1,4277
75;C;0,6;14191173/50000000;2,28,0,60,1,1998;2,28,0,62,1,1754
76;C;0,1;10081693/25000000;2,40,0,60,1,4398;2,40,0,61,1,4277
77;C;0,6;14191173/50000000;2,28,0,60,0,2000;2,28,0,62,1,1754
78;C;1,6;14191173/50000000;2,28,61,0,1,1877;2,28,62,0,1,1754
79;C;0,19;21258939/100000000;2,21,0,34,0,3044;2,21,0,37,0,2831
80;C;0,19;21258939/100000000;2,21,0,41,0,2519;2,21,0,37,0,2831
81;C;6,19;21258939/100000000;2,21,0,62,1,354;2,21,0,37,0,2831
82;C;0,1;10081693/25000000;2,40,0,11,26,6527;2,40,0,11,26,6527
83;C;0,19;21258939/100000000;2,21,0,11,6,4007;2,21,0,12,7,3958
84;C;0,1;10081693/25000000;2,40,0,11,26,6527;2,40,0,11,26,6527
85;C;0,19;21258939/100000000;2,21,0,11,3,4061;2,21,0,12,7,3958
86;C;1,19;21258939/100000000;2,21,11,0,26,2727;2,21,12,0,7,3958
87;C;0,1;10081693/25000000;2,40,0,49,1,5597;2,40,0,49,1,5597
88;C;0,19;21258939/100000000;2,21,0,11,0,4079;2,21,0,12,0,4056
89;C;0,1;10081693/25000000;2,40,0,49,1,5597;2,40,0,49,1,5597
90;C;0,19;21258939/100000000;2,21,0,11,0,4079;2,21,0,12,0,4056
91;C;1,19;21258939/100000000;2,21,0,49,1,1797;2,21,0,12,0,4056
92;C;0,1;10081693/25000000;2,40,0,18,26,6324;2,40,0,18,26,6324
93;C;0,19;21258939/100000000;2,21,0,19,6,3767;2,21,0,21,7,3661
94;C;0,1;10081693/25000000;2,40,0,17,26,6359;2,40,0,18,26,6324
95;C;0,19;21258939/100000000;2,21,0,15,3,3957;2,21,0,21,7,3661
96;C;1,19;21258939/100000000;2,21,18,0,26,2524;2,21,21,0,7,3661
97;C;0,1;10081693/25000000;2,40,0,49,7,5501;2,40,0,49,7,5501
98;C;0,1;10081693/25000000;2,40,0,49,7,5501;2,40,0,49,7,5501
99;C;1,19;21258939/100000000;2,21,0,49,7,1701;2,21,0,12,7,3958
100;C;0,1;10081693/25000000;2,40,0,60,5,4350;2,40,0,61,5,4229
101;C;0,1;10081693/25000000;2,40,0,60,5,4350;2,40,0,61,5,4229
102;C;1,6;14191173/50000000;2,28,61,0,5,1829;2,28,62,0,1,1754
MASS SLACK NUMERATOR 15878021287505545874285583678602501675700853552496501213513052536759433810229517934748452689332020698191159

BIN 12: PPC; (31/24,125/96]; gamma0=1199/2000; mass ceiling=49288231/50000000.
GAMMA 0=1199/2000;1=14051953125/23302592081;2=2830175775000/4686410539673;3=1209/2000;4=207744075000/343229399021;5=1219/2000;6=699824737500/1142663330687;7=1229/2000;8=1239/2000;9=1249/2000;10=63552300000/101740594423;11=1259/2000;12=11541337500/18281360831;13=6857353125/10834350281;14=1269/2000;15=1279/2000;16=1289/2000;17=1299/2000;18=1309/2000;19=11353978125/17267222006;20=1319/2000;21=128191284375/193965484553;22=1329/2000;23=1339/2000;24=1349/2000;25=1359/2000;26=1369/2000;27=1379/2000;28=8656003125/12510692081;29=1389/2000;30=1399/2000;31=1409/2000;32=1419/2000;33=1429/2000;34=1439/2000;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40296359,40748688;1,2,40748688,40176976;2,3,40176976,39830275;3,4,39830275,39418249;4,5,39418249,32973772;5,6,32973772,29495574;6,7,29495574,27955461;7,8,27955461,24788535;8,9,24788535,22459089;9,10,22459089,22402005;10,11,22402005,21684315;11,12,21684315,21589672;12,13,21589672,21516464;13,14,21516464,21454582;14,15,21454582,21321229;15,16,21321229,21284256;16,17,21284256,21343662;17,18,21343662,21499449;18,19,21499449,21641551;19,20,21641551,21751615;20,21,21751615,21839322;21,22,21839322,20346528;22,23,20346528,18362327;23,24,18362327,16479902;24,25,16479902,14699253;25,26,14699253,13020381;26,27,13020381,11443285;27,28,11443285,10725848;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;256177790303/70147350000,5/13,23302592081/10791900000;-255298502766547
1;0,6,7;4/13,1,7;-2
3;0,3,7;199/416,3,1;-2
4;2,3,7;401/208,49/26,61/96;-383
5;2,3,8;2173/1248,56/39,61/96;-103
8;1,3,6;175/624,75/26,125/96;-175
9;1,4,10;13951410731/3597300000,3/2,23302592081/10791900000;-11751957905119
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;53/24,1/3,61/96;-1
17;2,3,8;2173/1248,56/39,61/96;-103
19;0,3,13;487/624,2,1;-1
21;0,3,13;391/1248,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;2173/1248,56/39,61/96;-103
26;1,3,12;487/624,44/13,125/96;-487
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;199/416,3,1;-2
31;2,3,7;609/208,49/26,77/96;-175
33;1,4,12;19705292081/3597300000,1/2,23302592081/10791900000;-17147907905119
35;1,3,6;175/624,75/26,125/96;-175
36;1,4,10;19705292081/3597300000,1/2,23302592081/10791900000;-22543857905119
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,12;19705292081/3597300000,1/2,23302592081/10791900000;-17147907905119
45;1,4,13;266960697053/46764900000,5/13,23302592081/10791900000;-255298502766547
46;0,3,13;487/624,2,1;-1
48;0,3,13;391/1248,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;487/624,44/13,125/96;-487
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;817/208,31/13,101/96;-175
60;0,1,12;1/2,3,1;-1
62;1,3,6;175/624,75/26,125/96;-175
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;8633611003/1348987500,1,23302592081/10791900000;-6356007905119
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;487/624,2,1;-1
74;1,4,6;8633611003/1348987500,1,23302592081/10791900000;-6356007905119
75;0,3,13;391/1248,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;487/624,44/13,125/96;-487
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;2149956272467796,1228641331559668343100000,69534745255776,49952
6;1,4,12,3;15753441108576,15957234632915421300000,1438582026844,608
7;11,4,2,3;1438582026844,85552017380743718700000,69534745255776,3488
11;8,4,6,3;2149956272467796,97080077931636326034375,46058645581407,31432
14;5,4,2,3;46058645581407,1954610712257223628125,69534745255776,696
15;1,4,12,3;15753441108576,15957234632915421300000,1438582026844,608
16;11,4,2,3;1438582026844,85552017380743718700000,69534745255776,3488
18;1,4,13,3;15753441108576,90978944617900476900000,2149956272467796,3296
20;1,4,6,3;15753441108576,12414594397773320746875,46058645581407,3912
23;5,4,2,3;46058645581407,1954610712257223628125,69534745255776,696
24;1,4,2,3;15753441108576,155286807480000000000000,69534745255776,6144
29;1,4,7,3;15753441108576,714793282713480572280000,8106765015858912,139584
32;8,4,2,3;8106765015858912,6646949978117402520000,20174718064416,3648
34;1,4,2,3;15753441108576,116465105610000000000000,20174718064416,4608
38;1,4,6,3;15753441108576,41084202377186565975000,1903620049578,1608
41;5,4,2,3;1903620049578,2697975000,20174718064416,24
43;1,4,2,3;15753441108576,116465105610000000000000,20174718064416,4608
44;8,4,2,3;8106765015858912,6646949978117402520000,20174718064416,3648
47;1,4,6,3;15753441108576,41084202377186565975000,1903620049578,1608
50;5,4,2,3;1903620049578,2697975000,20174718064416,24
51;1,4,9,3;15753441108576,714793282713480572280000,8106765015858912,139584
52;8,4,2,3;8106765015858912,6646949978117402520000,20174718064416,3648
56;1,4,7,3;15753441108576,109174733541480572280000,27701988449884632,19776
59;8,4,2,3;27701988449884632,120878268373907334360000,96218739110688,70080
61;1,4,2,3;15753441108576,29116276402500000000000,96218739110688,2304
68;1,4,2,3;15753441108576,29116276402500000000000,96218739110688,2304
70;1,4,2,3;15753441108576,29116276402500000000000,96218739110688,2304
71;8,4,2,3;27701988449884632,120878268373907334360000,96218739110688,70080
77;1,4,2,3;15753441108576,29116276402500000000000,96218739110688,2304
78;1,4,9,3;15753441108576,109174733541480572280000,27701988449884632,19776
79;8,4,2,3;27701988449884632,120878268373907334360000,96218739110688,70080
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/13;E/4,5/2/0/2;E/4,2/3/0/13;E/4,3/4/2/13
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/13;E/4,11/8/0/4;E/4,2/11/0/13;E/4,3/12/4/13
11:V/3,8/0/0/2;V/6,3/13/0/10;E/4,8/2/0/2;E/4,6/14/0/10;E/4,3/4/2/10
14:V/3,5/13/0/10;V/2,3/15/0/13;E/4,5/14/0/10;E/4,2/16/0/13;E/4,3/17/10/13
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/13;E/4,11/21/0/4;E/4,2/24/0/13;E/4,3/25/4/13
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/10;E/4,1/31/0/1;E/4,6/32/0/10;E/4,3/33/1/10
23:V/3,5/30/0/10;V/2,3/34/0/13;E/4,5/32/0/10;E/4,2/35/0/13;E/4,3/36/10/13
24:V/3,1/37/0/1;V/2,3/38/0/13;E/4,1/39/0/1;E/4,2/40/0/13;E/4,3/41/1/13
29:V/3,1/42/0/1;V/7,3/43/0/21;E/4,1/44/0/1;E/4,7/45/0/21;E/4,3/46/1/21
32:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/12;E/4,1/44/0/1;E/4,6/56/0/12;E/4,3/46/1/12
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/12;V/2,3/57/0/28;E/4,5/56/0/12;E/4,2/58/0/28;E/4,3/59/12/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
47:V/3,1/65/0/1;V/6,3/66/0/12;E/4,1/67/0/1;E/4,6/68/0/12;E/4,3/69/1/12
50:V/3,5/66/0/12;V/2,3/51/0/28;E/4,5/68/0/12;E/4,2/53/0/28;E/4,3/70/12/28
51:V/3,1/71/0/1;V/9,3/43/0/21;E/4,1/72/0/1;E/4,9/45/0/21;E/4,3/73/1/21
52:V/3,8/43/0/21;V/2,3/47/0/28;E/4,8/45/0/21;E/4,2/48/0/28;E/4,3/49/21/28
56:V/3,1/74/0/1;V/7,3/75/0/6;E/4,1/76/0/1;E/4,7/77/0/6;E/4,3/78/1/6
59:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/6;E/4,1/101/0/1;E/4,9/77/0/6;E/4,3/102/1/6
79:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;2511061/6250000;2,40,60,60,9,638;2,40,61,61,9,396
1;C;0,13;1344779/6250000;2,21,0,60,1,598;2,21,0,64,1,102
2;C;0,2;2511061/6250000;2,40,60,60,8,672;2,40,61,61,9,396
3;C;0,13;1344779/6250000;2,21,0,60,0,600;2,21,0,64,1,102
4;C;2,4;39418249/100000000;2,39,61,61,9,196;2,39,61,57,9,668
4;L;4,5;39418249/100000000,8243443/25000000;2,39,61,57,9,668;2,32,61,44,7,645
4;C;5,6;14747787/50000000;2,29,61,44,7,45;2,29,62,35,7,633
4;C;6,7;27955461/100000000;2,27,62,35,7,233;2,27,62,29,6,643
4;C;7,8;4957707/20000000;2,24,62,29,6,43;2,24,62,14,5,710
4;C;8,10;4480401/20000000;2,22,62,14,5,310;2,22,63,0,3,413
4;C;10,13;1344779/6250000;2,21,63,0,3,213;2,21,64,0,1,102
5;C;0,1;40296359/100000000;2,40,0,24,60,224;4,4029,0,2338,6031,2367834
6;C;0,4;39418249/100000000;2,39,0,17,60,311;2,39,0,17,61,69
7;C;0,1;40296359/100000000;2,40,0,24,60,224;4,4029,0,2338,6031,2367834
8;C;0,4;39418249/100000000;2,39,0,17,60,311;2,39,0,17,61,69
9;C;1,4;39418249/100000000;4,3941,0,2338,6031,607834;2,39,0,17,61,69
10;C;0,13;1344779/6250000;2,21,0,17,22,2943;2,21,0,18,23,2818
11;C;0,13;1344779/6250000;2,21,0,17,21,3029;2,21,0,18,23,2818
12;L;4,5;39418249/100000000,8243443/25000000;2,39,17,0,61,69;2,32,17,0,55,61
12;L;5,6;8243443/25000000,14747787/50000000;2,32,17,0,55,61;2,29,18,0,51,274
12;C;6,7;27955461/100000000;4,2795,1702,0,5064,1715004;2,27,18,0,48,468
12;C;7,8;4957707/20000000;4,2478,1707,0,4782,911103;2,24,18,0,41,1114
12;C;8,13;1344779/6250000;2,21,18,0,41,514;2,21,18,0,23,2818
13;C;0,10;4480401/20000000;2,22,0,60,3,782;2,22,0,63,3,413
14;C;0,10;4480401/20000000;2,22,0,60,0,800;2,22,0,63,3,413
15;C;0,13;1344779/6250000;2,21,0,40,1,2598;2,21,0,42,1,2434
16;C;0,13;1344779/6250000;2,21,0,41,0,2519;2,21,0,42,1,2434
17;C;10,13;1344779/6250000;2,21,0,63,3,213;2,21,0,42,1,2434
18;L;0,1;40296359/100000000,2546793/6250000;4,4029,0,2945,5995,26925;10,4074868800,0,2961503291,6030210321,1226406323237
19;C;0,4;39418249/100000000;2,39,0,24,60,24;8,39418249,0,23596235,60526306,57813503
20;L;0,1;40296359/100000000,2546793/6250000;8,40296359,0,29517227,59950000,110230471;10,4074868800,0,2961503291,6030210321,1226406323237
21;C;0,4;39418249/100000000;2,39,0,24,60,24;8,39418249,0,23596235,60526306,57813503
22;L;1,2;2546793/6250000,2511061/6250000;10,4074868800,0,2961503291,6030210321,1226406323237;10,4017697600,0,2722536474,6039111920,1583167474524
22;L;2,3;2511061/6250000,1593211/4000000;10,4017697600,0,2722536474,6039111920,1583167474524;10,3983027500,0,2564468720,6045000000,184141561600
22;L;3,4;1593211/4000000,39418249/100000000;10,3983027500,0,2564468720,6045000000,184141561600;8,39418249,0,23596235,60526306,57813503
23;C;0,13;1344779/6250000;2,21,0,30,22,2332;2,21,0,32,23,2118
24;C;0,13;1344779/6250000;2,21,0,28,21,2534;2,21,0,32,23,2118
25;L;4,5;39418249/100000000,8243443/25000000;8,39418249,23596235,0,60526306,57813503;8,32973772,24732056,0,54694971,100631182
25;L;5,6;8243443/25000000,14747787/50000000;8,32973772,24732056,0,54694971,100631182;4,2949,2553,0,5064,1173999
25;L;6,7;14747787/50000000,27955461/100000000;4,2949,2553,0,5064,1173999;2,27,27,0,48,63
25;L;7,8;27955461/100000000,4957707/20000000;2,27,27,0,48,63;2,24,28,0,41,654
25;C;8,13;1344779/6250000;2,21,28,0,41,54;2,21,32,0,23,2118
26;C;0,1;40296359/100000000;2,40,60,60,11,558;2,40,61,61,11,316
27;C;0,1;40296359/100000000;2,40,60,60,10,600;2,40,61,61,11,316
28;C;1,2;2511061/6250000;2,40,61,61,11,316;2,40,61,61,9,396
29;C;0,1;40296359/100000000;2,40,0,60,42,872;2,40,0,61,42,751
30;C;0,10;4480401/20000000;2,22,0,60,11,558;2,22,0,63,12,143
31;C;0,1;40296359/100000000;2,40,0,60,42,872;2,40,0,61,42,751
32;C;0,10;4480401/20000000;2,22,0,60,10,600;2,22,0,63,12,143
33;C;1,3;1593211/4000000;2,39,61,0,42,551;2,39,61,0,40,879
33;C;3,4;39418249/100000000;2,39,61,0,40,879;2,39,61,0,39,1037
33;L;4,5;39418249/100000000,8243443/25000000;2,39,61,0,39,1037;2,32,61,0,33,501
33;C;5,6;14747787/50000000;4,2949,6095,0,3269,458253;2,29,62,0,29,274
33;C;6,7;27955461/100000000;4,2795,6125,0,2852,2116567;2,27,62,0,26,204
33;L;7,8;27955461/100000000,4957707/20000000;2,27,62,0,26,204;2,24,62,0,19,234
33;L;8,9;4957707/20000000,22459089/100000000;2,24,62,0,19,234;2,22,63,0,12,143
33;C;9,10;4480401/20000000;2,22,63,0,12,143;2,22,63,0,12,143
34;C;0,13;1344779/6250000;2,21,0,40,10,2400;2,21,0,42,11,2194
35;C;0,13;1344779/6250000;2,21,0,41,9,2357;2,21,0,42,11,2194
36;C;10,13;1344779/6250000;4,2151,0,6247,1129,1445709;2,21,0,42,11,2194
37;C;0,1;40296359/100000000;2,40,0,60,45,350;2,40,0,61,45,229
38;C;0,13;1344779/6250000;2,21,0,60,6,528;2,21,0,64,7,6
39;C;0,1;40296359/100000000;2,40,0,60,45,350;2,40,0,61,45,229
40;C;0,13;1344779/6250000;2,21,0,60,5,550;2,21,0,64,7,6
41;C;1,4;39418249/100000000;2,39,61,0,45,29;2,39,61,0,43,381
41;L;4,5;39418249/100000000,8243443/25000000;2,39,61,0,43,381;4,3297,6095,0,3659,2014413
41;L;5,6;8243443/25000000,14747787/50000000;4,3297,6095,0,3659,2014413;10,2949557400,6124505082,0,3277314864,64965496284
41;L;6,7;14747787/50000000,27955461/100000000;10,2949557400,6124505082,0,3277314864,64965496284;8,27955461,61450000,0,30124654,142760568
41;L;7,8;27955461/100000000,4957707/20000000;8,27955461,61450000,0,30124654,142760568;8,24788535,61950000,0,23663310,19687800
41;L;8,9;4957707/20000000,22459089/100000000;8,24788535,61950000,0,23663310,19687800;8,22459089,62450000,0,17201965,100277550
41;L;9,10;22459089/100000000,4480401/20000000;8,22459089,62450000,0,17201965,100277550;10,2240200500,6246503705,0,1700764505,1660485482925
41;L;10,11;4480401/20000000,4336863/20000000;10,2240200500,6246503705,0,1700764505,1660485482925;4,2168,6295,0,1075,1421725
41;C;11,13;1344779/6250000;4,2151,6295,0,1075,1081725;2,21,64,0,7,6
42;C;0,1;40296359/100000000;2,40,27,60,4,3639;2,40,27,61,4,3518
43;C;0,10;4480401/20000000;2,22,0,60,1,798;2,22,0,63,1,429
43;C;10,15;21321229/100000000;2,21,0,63,1,229;2,21,0,64,1,102
43;C;15,16;665133/3125000;2,21,0,64,1,102;4,2128,0,6445,8,1021847
43;C;16,17;665133/3125000;4,2128,0,6445,8,1021847;4,2128,0,6495,8,374847
43;L;17,18;10671831/50000000,21499449/100000000;4,2134,0,6495,8,494847;4,2149,0,6545,8,142847
43;L;18,19;21499449/100000000,21641551/100000000;4,2149,0,6545,8,142847;4,2164,0,6576,8,36096
43;L;19,20;21641551/100000000,4350323/20000000;4,2164,0,6576,8,36096;4,2175,0,6595,8,5847
43;L;20,21;4350323/20000000,10919661/50000000;4,2175,0,6595,8,5847;8,21839322,0,66089740,72849,52778798
44;C;0,1;40296359/100000000;2,40,60,27,4,3639;2,40,61,27,4,3518
45;C;0,10;4480401/20000000;2,22,0,60,0,800;2,22,0,63,0,431
45;C;10,15;21321229/100000000;2,21,0,63,0,231;2,21,0,64,0,104
45;C;15,16;665133/3125000;2,21,0,64,0,104;4,2128,0,6445,0,1021975
45;C;16,17;665133/3125000;4,2128,0,6445,0,1021975;4,2128,0,6495,0,374975
45;L;17,18;10671831/50000000,21499449/100000000;4,2134,0,6495,0,494975;4,2149,0,6545,0,142975
45;L;18,19;21499449/100000000,21641551/100000000;4,2149,0,6545,0,142975;4,2164,0,6576,0,36224
45;L;19,20;21641551/100000000,4350323/20000000;4,2164,0,6576,0,36224;4,2175,0,6595,0,5975
45;L;20,21;4350323/20000000,10919661/50000000;4,2175,0,6595,0,5975;8,21839322,0,66089740,72849,52778798
46;C;1,6;14747787/50000000;2,29,61,27,4,1318;2,29,62,18,4,1600
46;C;6,11;4336863/20000000;2,21,62,18,4,0;2,21,63,1,3,212
46;C;11,16;665133/3125000;2,21,63,1,3,212;4,2128,6445,0,113,996437
46;C;16,17;665133/3125000;4,2128,6445,0,113,996437;4,2128,6495,0,81,361853
46;L;17,18;10671831/50000000,21499449/100000000;4,2134,6495,0,81,481853;4,2149,6545,0,49,138173
46;L;18,19;21499449/100000000,21641551/100000000;4,2149,6545,0,49,138173;4,2164,6576,0,29,34542
46;L;19,20;21641551/100000000,4350323/20000000;4,2164,6576,0,29,34542;4,2175,6595,0,17,5397
46;L;20,21;4350323/20000000,10919661/50000000;4,2175,6595,0,17,5397;8,21839322,66089740,0,72849,52778798
47;C;0,28;1340731/12500000;2,10,0,41,0,319;8,10725848,0,46315975,0,59799375
48;C;0,14;10727291/50000000;2,21,0,52,0,1496;2,21,0,50,0,1700
48;C;14,21;665133/3125000;2,21,0,50,0,1700;2,21,0,49,0,1799
48;C;21,24;8239951/50000000;2,16,0,49,0,799;2,16,0,48,0,896
48;C;24,26;13020381/100000000;2,13,0,48,0,296;2,13,0,47,0,391
48;C;26,27;2288657/20000000;4,1144,0,4675,0,1024375;4,1144,0,4646,0,1294684
48;L;27,28;2288657/20000000,1340731/12500000;4,1144,0,4646,0,1294684;8,10725848,0,46315975,0,59799375
49;L;21,22;10919661/50000000,635829/3125000;8,21839322,0,66089740,72849,52778798;8,20346528,0,63791109,0,12550119
49;L;22,23;635829/3125000,18362327/100000000;8,20346528,0,63791109,0,12550119;8,18362327,0,60600869,0,76444839
49;L;23,24;18362327/100000000,8239951/50000000;8,18362327,0,60600869,0,76444839;8,16479902,0,57410629,0,77824359
49;L;24,25;8239951/50000000,14699253/100000000;8,16479902,0,57410629,0,77824359;8,14699253,0,54220389,0,16688679
49;L;25,26;14699253/100000000,13020381/100000000;8,14699253,0,54220389,0,16688679;8,13020381,0,51030149,0,93037799
49;L;26,27;13020381/100000000,2288657/20000000;8,13020381,0,51030149,0,93037799;8,11443285,0,47839909,0,106871719
49;L;27,28;2288657/20000000,1340731/12500000;8,11443285,0,47839909,0,106871719;8,10725848,0,46315975,0,59799375
50;C;0,1;40296359/100000000;2,40,0,13,46,3599;2,40,0,13,46,3599
51;C;0,28;1340731/12500000;2,10,0,13,7,1733;2,10,0,15,8,1647
52;C;0,1;40296359/100000000;2,40,0,13,46,3599;2,40,0,13,46,3599
53;C;0,28;1340731/12500000;2,10,0,13,3,1813;2,10,0,15,8,1647
54;C;1,7;27955461/100000000;2,27,13,0,46,999;2,27,13,0,41,1869
54;C;7,14;10727291/50000000;2,21,13,0,41,669;2,21,14,0,33,1826
54;C;14,21;665133/3125000;2,21,14,0,33,1826;2,21,14,0,21,3122
54;C;21,28;1340731/12500000;2,10,14,0,21,922;2,10,15,0,8,1647
55;C;0,12;2698709/12500000;2,21,0,60,2,592;2,21,0,64,2,96
56;C;0,12;2698709/12500000;2,21,0,60,0,600;2,21,0,64,2,96
57;C;0,28;1340731/12500000;2,10,0,13,0,1831;2,10,0,15,0,1775
58;C;0,28;1340731/12500000;2,10,0,13,0,1831;2,10,0,15,0,1775
59;C;12,20;665133/3125000;2,21,0,64,2,96;2,21,0,41,1,2517
59;C;20,28;1340731/12500000;2,10,0,41,1,317;2,10,0,15,0,1775
60;C;0,1;40296359/100000000;2,40,0,20,46,3368;2,40,0,20,46,3368
61;C;0,28;1340731/12500000;2,10,0,24,7,1326;2,10,0,28,8,1088
62;C;0,1;40296359/100000000;2,40,0,20,46,3368;2,40,0,20,46,3368
63;C;0,28;1340731/12500000;2,10,0,18,3,1658;2,10,0,28,8,1088
64;C;1,7;27955461/100000000;2,27,20,0,46,768;2,27,21,0,41,1597
64;C;7,14;10727291/50000000;2,21,21,0,41,397;2,21,23,0,33,1493
64;C;14,21;665133/3125000;2,21,23,0,33,1493;2,21,25,0,21,2693
64;C;21,28;1340731/12500000;2,10,25,0,21,493;2,10,28,0,8,1088
65;C;0,1;40296359/100000000;2,40,0,60,22,3432;2,40,0,61,22,3311
66;C;0,12;2698709/12500000;2,21,0,60,9,438;4,2158,0,6314,853,1838186
67;C;0,1;40296359/100000000;2,40,0,60,22,3432;2,40,0,61,22,3311
68;C;0,12;2698709/12500000;2,21,0,60,7,502;4,2158,0,6314,853,1838186
69;C;1,6;14747787/50000000;2,29,61,0,22,1111;2,29,62,0,18,1308
69;C;6,9;22459089/100000000;4,2245,6125,0,1733,1377797;2,22,63,0,12,143
69;C;9,12;2698709/12500000;4,2158,6245,0,1171,1417493;4,2158,6314,0,853,1838186
70;C;12,20;665133/3125000;4,2128,0,6314,853,1238186;2,21,0,41,9,2357
70;C;20,28;1340731/12500000;2,10,0,41,9,157;2,10,0,15,8,1647
71;C;0,1;40296359/100000000;2,40,0,60,26,3048;2,40,0,61,26,2927
72;C;0,1;40296359/100000000;2,40,0,60,25,3150;2,40,0,61,26,2927
73;C;1,6;14747787/50000000;2,29,61,0,26,727;2,29,62,0,22,988
73;C;6,8;4957707/20000000;4,2478,6125,0,2107,3165477;2,24,62,0,19,234
73;C;8,9;22459089/100000000;4,2245,6195,0,1802,27567;4,2245,6245,0,1585,875525
73;C;9,10;4480401/20000000;4,2240,6245,0,1585,775525;4,2240,6247,0,1578,794823
73;L;10,11;4480401/20000000,4336863/20000000;4,2240,6247,0,1578,794823;8,21684315,62950000,0,13677727,68226942
73;L;11,12;4336863/20000000,2698709/12500000;8,21684315,62950000,0,13677727,68226942;10,2158967200,6313171983,0,1289031255,360330097661
73;L;12,13;2698709/12500000,1344779/6250000;10,2158967200,6313171983,0,1289031255,360330097661;8,21516464,63292703,0,12192754,46744759
73;L;13,14;1344779/6250000,10727291/50000000;8,21516464,63292703,0,12192754,46744759;8,21454582,63450000,0,11511166,14640888
73;L;14,15;10727291/50000000,21321229/100000000;8,21454582,63450000,0,11511166,14640888;8,21321229,63950000,0,9344605,14787950
73;L;15,16;21321229/100000000,665133/3125000;8,21321229,63950000,0,9344605,14787950;8,21284256,64450000,0,7178043,97380302
73;L;16,17;665133/3125000,10671831/50000000;8,21284256,64450000,0,7178043,97380302;10,2134366200,6495000000,0,501148133,97581228622
73;L;17,18;10671831/50000000,21499449/100000000;10,2134366200,6495000000,0,501148133,97581228622;8,21499449,65450000,0,2844920,160387200
73;L;18,19;21499449/100000000,21641551/100000000;8,21499449,65450000,0,2844920,160387200;8,21641551,65754516,0,1525419,19354622
73;L;19,20;21641551/100000000,4350323/20000000;8,21641551,65754516,0,1525419,19354622;8,21751615,65950000,0,678359,158134238
73;L;20,21;4350323/20000000,10919661/50000000;8,21751615,65950000,0,678359,158134238;8,21839322,66089740,0,72849,52778798
74;C;0,1;40296359/100000000;2,40,0,60,1,4398;2,40,0,61,1,4277
75;C;0,6;14747787/50000000;2,29,0,60,1,2198;2,29,0,62,1,1954
76;C;0,1;40296359/100000000;2,40,0,60,1,4398;2,40,0,61,1,4277
77;C;0,6;14747787/50000000;2,29,0,60,0,2200;2,29,0,62,1,1954
78;C;1,6;14747787/50000000;2,29,61,0,1,2077;2,29,62,0,1,1954
79;C;0,19;665133/3125000;2,21,0,33,0,3111;2,21,0,36,0,2904
80;C;0,19;665133/3125000;2,21,0,40,0,2600;2,21,0,36,0,2904
81;C;6,19;665133/3125000;2,21,0,62,1,354;2,21,0,36,0,2904
82;C;0,1;40296359/100000000;2,40,0,10,26,6548;2,40,0,11,26,6527
83;C;0,19;665133/3125000;2,21,0,10,6,4028;2,21,0,11,6,4007
84;C;0,1;40296359/100000000;2,40,0,10,26,6548;2,40,0,11,26,6527
85;C;0,19;665133/3125000;2,21,0,10,3,4082;2,21,0,11,6,4007
86;C;1,19;665133/3125000;2,21,11,0,26,2727;2,21,11,0,6,4007
87;C;0,1;40296359/100000000;2,40,0,49,1,5597;2,40,0,49,1,5597
88;C;0,19;665133/3125000;2,21,0,10,0,4100;2,21,0,11,0,4079
89;C;0,1;40296359/100000000;2,40,0,49,1,5597;2,40,0,49,1,5597
90;C;0,19;665133/3125000;2,21,0,10,0,4100;2,21,0,11,0,4079
91;C;1,19;665133/3125000;2,21,0,49,1,1797;2,21,0,11,0,4079
92;C;0,1;40296359/100000000;2,40,0,18,26,6324;2,40,0,18,26,6324
93;C;0,19;665133/3125000;2,21,0,19,6,3767;2,21,0,21,6,3687
94;C;0,1;40296359/100000000;2,40,0,17,26,6359;2,40,0,18,26,6324
95;C;0,19;665133/3125000;2,21,0,15,3,3957;2,21,0,21,6,3687
96;C;1,19;665133/3125000;2,21,18,0,26,2524;2,21,21,0,6,3687
97;C;0,1;40296359/100000000;2,40,0,49,7,5501;2,40,0,49,7,5501
98;C;0,1;40296359/100000000;2,40,0,49,7,5501;2,40,0,49,7,5501
99;C;1,19;665133/3125000;2,21,0,49,7,1701;2,21,0,11,6,4007
100;C;0,1;40296359/100000000;2,40,0,60,4,4368;2,40,0,61,5,4229
101;C;0,1;40296359/100000000;2,40,0,60,4,4368;2,40,0,61,5,4229
102;C;1,6;14747787/50000000;2,29,61,0,5,2029;2,29,62,0,1,1954
MASS SLACK NUMERATOR 13854652578625728838491504066156566541420683101284013832534123914650412333082494260979402174548830101368751643

BIN 13: PPC; (125/96,21/16]; gamma0=3003/5000; mass ceiling=49484661/50000000.
GAMMA 0=3003/5000;1=14164368750/23443217081;2=1432624725000/2367960716299;3=757/1250;4=105221025000/173518964623;5=3053/5000;6=354783712500/579346793731;7=1539/2500;8=3103/5000;9=391/625;10=32375700000/51692552249;11=3153/5000;12=899325000/1422840737;13=6969768750/10974975281;14=1589/2500;15=3203/5000;16=807/1250;17=3253/5000;18=1639/2500;19=5733196875/8703923503;20=130626956250/197742147053;21=3303/5000;22=416/625;23=3353/5000;24=1689/2500;25=3403/5000;26=857/1250;27=3453/5000;28=674493750/973178237;29=1739/2500;30=3503/5000;31=441/625;32=3553/5000;33=1789/2500;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40242989,40704074;1,2,40704074,40212510;2,3,40212510,39876906;3,4,39876906,39467687;4,5,39467687,33192903;5,6,33192903,30726200;6,7,30726200,28145494;7,8,28145494,25028905;8,9,25028905,22709312;9,10,22709312,22443589;10,11,22443589,21670264;11,12,21670264,21596875;12,13,21596875,21472381;13,14,21472381,21453646;14,15,21453646,21333714;15,16,21333714,21310467;16,17,21310467,21383905;17,18,21383905,21554028;18,19,21554028,21707564;19,20,21707564,21820357;20,21,21820357,21817088;21,22,21817088,19724504;22,23,19724504,17738458;23,24,17738458,15857800;24,25,15857800,14082500;25,26,14082500,12412559;26,27,12412559,10847976;27,28,10847976,10110019;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;258005915303/70147350000,5/13,23443217081/10791900000;-30733440553579
1;0,6,7;4/13,1,7;-2
3;0,3,7;93/208,3,1;-2
4;2,3,7;207/104,49/26,31/48;-185
5;2,3,8;373/208,56/39,31/48;-15
8;1,3,6;27/104,75/26,21/16;-27
9;1,4,10;14092035731/3597300000,3/2,23443217081/10791900000;-1425255042583
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;9/4,1/3,31/48;-1
17;2,3,8;373/208,56/39,31/48;-15
19;0,3,13;79/104,2,1;-1
21;0,3,13;63/208,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;373/208,56/39,31/48;-15
26;1,3,12;79/104,44/13,21/16;-79
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;93/208,3,1;-2
31;2,3,7;311/104,49/26,13/16;-27
33;1,4,7;86765442053/28058940000,101/26,23443217081/10791900000;-327690553579
35;1,3,6;27/104,75/26,21/16;-27
36;1,4,10;19845917081/3597300000,1/2,23443217081/10791900000;-2710005042583
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,10;86765442053/28058940000,101/26,23443217081/10791900000;-327690553579
45;1,4,13;268788822053/46764900000,5/13,23443217081/10791900000;-30733440553579
46;0,3,13;79/104,2,1;-1
48;0,3,13;63/208,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;79/104,44/13,21/16;-79
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;415/104,31/13,17/16;-27
60;0,1,12;1/2,3,1;-1
62;1,3,6;27/104,75/26,21/16;-27
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;8703923503/1348987500,1,23443217081/10791900000;-782880042583
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;79/104,2,1;-1
74;1,4,6;8703923503/1348987500,1,23443217081/10791900000;-782880042583
75;0,3,13;63/208,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;79/104,44/13,21/16;-79
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;9930970276972,147339936677136476700000,4322269671216,12592
6;1,4,12,3;321419318672,1805376797816174100000,5666581276,16
7;11,4,2,3;5666581276,10267311011702805900000,4322269671216,880
11;8,4,6,3;9930970276972,11583895661038675209375,316465028393,292
14;5,4,2,3;316465028393,240430536253388053125,4322269671216,20
15;1,4,12,3;321419318672,1805376797816174100000,5666581276,16
16;11,4,2,3;5666581276,10267311011702805900000,4322269671216,880
18;1,4,13,3;321419318672,9605004846610263300000,9930970276972,80
20;1,4,6,3;321419318672,1469087842764016321875,316465028393,4
23;5,4,2,3;316465028393,240430536253388053125,4322269671216,20
24;1,4,2,3;321419318672,18486524700000000000000,4322269671216,512
29;1,4,7,3;321419318672,83623452145932315960000,135577402628208,544
32;8,4,2,3;135577402628208,910610104315607640000,342868193744,1184
34;1,4,2,3;321419318672,13864893525000000000000,342868193744,128
38;1,4,6,3;321419318672,4820255979612130575000,31976323827,44
41;5,4,2,3;31976323827,2697975000,342868193744,4
43;1,4,2,3;321419318672,13864893525000000000000,342868193744,128
44;8,4,2,3;135577402628208,910610104315607640000,342868193744,1184
47;1,4,6,3;321419318672,4820255979612130575000,31976323827,44
50;5,4,2,3;31976323827,2697975000,342868193744,4
51;1,4,9,3;321419318672,83623452145932315960000,135577402628208,544
52;8,4,2,3;135577402628208,910610104315607640000,342868193744,1184
56;1,4,7,3;321419318672,11526005815932315960000,13005767971736,160
59;8,4,2,3;13005767971736,15081410634136310520000,1926173025136,672
61;1,4,2,3;321419318672,3466223381250000000000,1926173025136,64
68;1,4,2,3;321419318672,3466223381250000000000,1926173025136,64
70;1,4,2,3;321419318672,3466223381250000000000,1926173025136,64
71;8,4,2,3;13005767971736,15081410634136310520000,1926173025136,672
77;1,4,2,3;321419318672,3466223381250000000000,1926173025136,64
78;1,4,9,3;321419318672,11526005815932315960000,13005767971736,160
79;8,4,2,3;13005767971736,15081410634136310520000,1926173025136,672
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/13;E/4,5/2/0/2;E/4,2/3/0/13;E/4,3/4/2/13
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/13;E/4,11/8/0/4;E/4,2/11/0/13;E/4,3/12/4/13
11:V/3,8/0/0/2;V/6,3/13/0/10;E/4,8/2/0/2;E/4,6/14/0/10;E/4,3/4/2/10
14:V/3,5/13/0/10;V/2,3/15/0/13;E/4,5/14/0/10;E/4,2/16/0/13;E/4,3/17/10/13
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/13;E/4,11/21/0/4;E/4,2/24/0/13;E/4,3/25/4/13
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/10;E/4,1/31/0/1;E/4,6/32/0/10;E/4,3/33/1/10
23:V/3,5/30/0/10;V/2,3/34/0/13;E/4,5/32/0/10;E/4,2/35/0/13;E/4,3/36/10/13
24:V/3,1/37/0/1;V/2,3/38/0/13;E/4,1/39/0/1;E/4,2/40/0/13;E/4,3/41/1/13
29:V/3,1/42/0/1;V/7,3/43/0/20;E/4,1/44/0/1;E/4,7/45/0/20;E/4,3/46/1/20
32:V/3,8/43/0/20;V/2,3/47/0/28;E/4,8/45/0/20;E/4,2/48/0/28;E/4,3/49/20/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/12;E/4,1/44/0/1;E/4,6/56/0/12;E/4,3/46/1/12
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/12;V/2,3/57/0/28;E/4,5/56/0/12;E/4,2/58/0/28;E/4,3/59/12/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/20;V/2,3/47/0/28;E/4,8/45/0/20;E/4,2/48/0/28;E/4,3/49/20/28
47:V/3,1/65/0/1;V/6,3/66/0/12;E/4,1/67/0/1;E/4,6/68/0/12;E/4,3/69/1/12
50:V/3,5/66/0/12;V/2,3/51/0/28;E/4,5/68/0/12;E/4,2/53/0/28;E/4,3/70/12/28
51:V/3,1/71/0/1;V/9,3/43/0/20;E/4,1/72/0/1;E/4,9/45/0/20;E/4,3/73/1/20
52:V/3,8/43/0/20;V/2,3/47/0/28;E/4,8/45/0/20;E/4,2/48/0/28;E/4,3/49/20/28
56:V/3,1/74/0/1;V/7,3/75/0/6;E/4,1/76/0/1;E/4,7/77/0/6;E/4,3/78/1/6
59:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/6;E/4,1/101/0/1;E/4,9/77/0/6;E/4,3/102/1/6
79:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;4021251/10000000;2,40,61,61,9,396;2,40,61,61,9,396
1;C;0,13;21472381/100000000;2,21,0,61,1,477;2,21,0,64,1,102
2;C;0,2;4021251/10000000;2,40,61,61,8,430;2,40,61,61,9,396
3;C;0,13;21472381/100000000;2,21,0,61,0,479;2,21,0,64,1,102
4;C;2,4;39467687/100000000;2,39,61,61,9,196;2,39,61,57,8,702
4;L;4,5;39467687/100000000,33192903/100000000;2,39,61,57,8,702;2,33,62,45,7,633
4;C;5,6;153631/500000;2,30,62,45,7,33;2,30,62,39,7,537
4;C;6,7;14072747/50000000;2,28,62,39,7,137;2,28,62,30,6,784
4;C;7,8;5005781/20000000;2,25,62,30,6,184;2,25,63,15,5,756
4;C;8,10;22443589/100000000;2,22,63,15,5,156;2,22,63,0,3,413
4;C;10,13;21472381/100000000;2,21,63,0,3,213;2,21,64,0,1,102
5;C;0,1;40242989/100000000;2,40,0,23,61,29;2,40,0,23,61,29
6;C;0,4;39467687/100000000;2,39,0,16,61,102;2,39,0,17,61,69
7;C;0,1;40242989/100000000;2,40,0,23,61,29;2,40,0,23,61,29
8;C;0,4;39467687/100000000;2,39,0,16,61,102;2,39,0,17,61,69
9;C;1,4;39467687/100000000;4,3946,0,2230,6042,935572;2,39,0,17,61,69
10;C;0,13;21472381/100000000;2,21,0,16,21,3062;2,21,0,17,23,2853
11;C;0,13;21472381/100000000;2,21,0,16,20,3144;2,21,0,17,23,2853
12;L;4,5;39467687/100000000,33192903/100000000;2,39,17,0,61,69;2,33,17,0,55,261
12;L;5,6;33192903/100000000,153631/500000;2,33,17,0,55,261;2,30,17,0,53,93
12;L;6,7;153631/500000,14072747/50000000;2,30,17,0,53,93;2,28,17,0,49,509
12;C;7,8;5005781/20000000;4,2502,1625,0,4825,838125;2,25,17,0,42,1183
12;C;8,13;21472381/100000000;2,21,17,0,42,383;2,21,17,0,23,2853
13;C;0,10;22443589/100000000;2,22,0,61,3,661;2,22,0,63,3,413
14;C;0,10;22443589/100000000;2,22,0,61,0,679;2,22,0,63,3,413
15;C;0,13;21472381/100000000;2,21,0,39,1,2677;2,21,0,41,1,2517
16;C;0,13;21472381/100000000;2,21,0,40,0,2600;2,21,0,41,1,2517
17;C;10,13;21472381/100000000;2,21,0,63,3,213;2,21,0,41,1,2517
18;L;0,1;40242989/100000000,20352037/50000000;4,4024,0,2881,6006,35767;10,4070407400,0,2897733083,6041990185,188414646661
19;C;0,4;39467687/100000000;4,3946,0,2300,6006,1485928;10,3946768700,0,2322155133,6063949565,884554373861
20;L;0,1;40242989/100000000,20352037/50000000;8,40242989,0,28882357,60060000,54124551;10,4070407400,0,2897733083,6041990185,188414646661
21;C;0,4;39467687/100000000;4,3946,0,2267,6006,1636639;10,3946768700,0,2322155133,6063949565,884554373861
22;L;1,2;20352037/50000000,4021251/10000000;10,4070407400,0,2897733083,6041990185,188414646661;8,40212510,0,26868477,60500359,65442709
22;L;2,3;4021251/10000000,19938453/50000000;8,40212510,0,26868477,60500359,65442709;8,39876906,0,25305215,60560000,93803775
22;L;3,4;19938453/50000000,39467687/100000000;8,39876906,0,25305215,60560000,93803775;10,3946768700,0,2322155133,6063949565,884554373861
23;C;0,13;21472381/100000000;2,21,0,30,21,2418;2,21,0,32,23,2118
24;C;0,13;21472381/100000000;2,21,0,28,20,2616;2,21,0,32,23,2118
25;L;4,5;39467687/100000000,33192903/100000000;10,3946768700,2322155133,0,6063949565,884554373861;8,33192903,24366483,0,54976609,31932949
25;L;5,6;33192903/100000000,153631/500000;8,33192903,24366483,0,54976609,31932949;10,3072620000,2485269520,0,5257177723,190544040142
25;L;6,7;153631/500000,14072747/50000000;10,3072620000,2485269520,0,5257177723,190544040142;2,28,26,0,49,122
25;L;7,8;14072747/50000000,5005781/20000000;2,28,26,0,49,122;2,25,28,0,42,688
25;C;8,13;21472381/100000000;4,2147,2709,0,4151,1139717;2,21,32,0,23,2118
26;C;0,1;40242989/100000000;2,40,61,61,10,358;2,40,61,61,10,358
27;C;0,1;40242989/100000000;2,40,61,61,10,358;2,40,61,61,10,358
28;C;1,2;4021251/10000000;2,40,61,61,10,358;2,40,61,61,9,396
29;C;0,1;40242989/100000000;2,40,0,61,42,751;2,40,0,61,42,751
30;C;0,10;22443589/100000000;2,22,0,61,11,437;2,22,0,63,11,189
31;C;0,1;40242989/100000000;2,40,0,61,42,751;2,40,0,61,42,751
32;C;0,10;22443589/100000000;2,22,0,61,10,479;2,22,0,63,11,189
33;C;1,3;19938453/50000000;2,39,61,0,42,551;2,39,61,0,40,879
33;C;3,4;39467687/100000000;2,39,61,0,40,879;2,39,61,0,39,1037
33;C;4,5;33192903/100000000;4,3319,6064,0,3833,224126;2,33,62,0,33,578
33;C;5,6;153631/500000;4,3072,6106,0,3251,3018762;2,30,62,0,31,234
33;C;6,7;14072747/50000000;4,2814,6124,0,3004,728592;2,28,62,0,26,404
33;L;7,8;14072747/50000000,5005781/20000000;2,28,62,0,26,404;2,25,63,0,19,309
33;L;8,9;5005781/20000000,354833/1562500;2,25,63,0,19,309;2,22,63,0,12,143
33;C;9,10;22443589/100000000;2,22,63,0,12,143;2,22,63,0,11,189
34;C;0,13;21472381/100000000;2,21,0,39,10,2479;2,21,0,41,10,2319
35;C;0,13;21472381/100000000;2,21,0,40,8,2472;2,21,0,41,10,2319
36;C;10,13;21472381/100000000;4,2147,0,6264,1077,1382446;2,21,0,41,10,2319
37;C;0,1;40242989/100000000;2,40,0,61,45,229;2,40,0,61,45,229
38;C;0,13;21472381/100000000;2,21,0,61,6,407;2,21,0,64,6,32
39;C;0,1;40242989/100000000;2,40,0,61,45,229;2,40,0,61,45,229
40;C;0,13;21472381/100000000;2,21,0,61,4,447;2,21,0,64,6,32
41;C;1,4;39467687/100000000;2,39,61,0,45,29;2,39,61,0,42,551
41;L;4,5;39467687/100000000,33192903/100000000;2,39,61,0,42,551;2,33,62,0,37,18
41;L;5,6;33192903/100000000,153631/500000;2,33,62,0,37,18;4,3072,6124,0,3438,296936
41;L;6,7;153631/500000,14072747/50000000;4,3072,6124,0,3438,296936;8,28145494,61560000,0,30327093,60338702
41;L;7,8;14072747/50000000,5005781/20000000;8,28145494,61560000,0,30327093,60338702;10,2502890500,6206000000,0,2402433523,335131616942
41;L;8,9;5005781/20000000,354833/1562500;10,2502890500,6206000000,0,2402433523,335131616942;8,22709312,62560000,0,17721578,146379832
41;L;9,10;354833/1562500,22443589/100000000;8,22709312,62560000,0,17721578,146379832;10,2244358900,6263126620,0,1682323096,943177325168
41;L;10,11;22443589/100000000,2708783/12500000;10,2244358900,6263126620,0,1682323096,943177325168;4,2167,6306,0,1142,966036
41;C;11,13;21472381/100000000;4,2147,6306,0,1142,566036;2,21,64,0,6,32
42;C;0,1;40242989/100000000;2,40,27,61,4,3518;2,40,27,61,4,3518
43;C;0,10;22443589/100000000;2,22,0,61,1,677;2,22,0,63,1,429
43;C;10,15;10666857/50000000;2,21,0,63,1,229;4,2133,0,6406,35,1620714
43;C;15,17;21310467/100000000;4,2131,0,6406,35,1580714;4,2131,0,6506,35,289514
43;L;17,18;4276781/20000000,5388507/25000000;4,2138,0,6506,35,429514;4,2155,0,6556,35,116414
43;L;18,19;5388507/25000000,5426891/25000000;4,2155,0,6556,35,116414;4,2170,0,6587,36,8839
43;L;19,20;5426891/25000000,21820357/100000000;4,2170,0,6587,36,8839;8,21820357,0,66059239,352350,41695879
44;C;0,1;40242989/100000000;2,40,61,27,4,3518;2,40,61,27,4,3518
45;C;0,10;22443589/100000000;2,22,0,61,0,679;2,22,0,63,0,431
45;C;10,15;10666857/50000000;2,21,0,63,0,231;4,2133,0,6406,0,1623164
45;C;15,17;21310467/100000000;4,2131,0,6406,0,1583164;4,2131,0,6506,0,291964
45;L;17,18;4276781/20000000,5388507/25000000;4,2138,0,6506,0,431964;4,2155,0,6556,0,118864
45;L;18,19;5388507/25000000,5426891/25000000;4,2155,0,6556,0,118864;4,2170,0,6587,0,11431
45;L;19,20;5426891/25000000,21820357/100000000;4,2170,0,6587,0,11431;8,21820357,0,66059239,352350,41695879
46;C;1,10;22443589/100000000;4,2244,6042,2616,371,1255498;2,22,63,5,3,388
46;C;10,15;10666857/50000000;2,21,63,5,3,188;4,2133,6406,0,155,1575114
46;C;15,17;21310467/100000000;4,2131,6406,0,155,1535114;4,2131,6506,0,95,273914
46;L;17,18;4276781/20000000,5388507/25000000;4,2138,6506,0,95,413914;4,2155,6556,0,65,110414
46;L;18,19;5388507/25000000,5426891/25000000;4,2155,6556,0,65,110414;4,2170,6587,0,47,7013
46;L;19,20;5426891/25000000,21820357/100000000;4,2170,6587,0,47,7013;8,21820357,66059239,0,352350,41695879
47;C;0,28;10110019/100000000;2,10,0,39,0,479;8,10110019,0,44966696,0,50843584
48;C;0,14;10726823/50000000;2,21,0,51,0,1599;2,21,0,49,0,1799
48;C;14,21;21310467/100000000;2,21,0,49,0,1799;2,21,0,47,0,1991
48;C;21,24;79289/500000;2,15,0,47,0,791;2,15,0,47,0,791
48;C;24,26;12412559/100000000;2,12,0,47,0,191;2,12,0,46,0,284
48;C;26,27;1355997/12500000;4,1084,0,4542,0,1050236;4,1084,0,4512,0,1321856
48;L;27,28;1355997/12500000,10110019/100000000;4,1084,0,4512,0,1321856;8,10110019,0,44966696,0,50843584
49;L;20,21;21820357/100000000,85223/390625;8,21820357,0,66059239,352350,41695879;8,21817088,0,66054294,351897,181164346
49;L;21,22;85223/390625,2465563/12500000;8,21817088,0,66054294,351897,181164346;10,1972450400,0,6280839709,5476271,570760664437
49;L;22,23;2465563/12500000,8869229/50000000;10,1972450400,0,6280839709,5476271,570760664437;8,17738458,0,59562501,0,74624999
49;L;23,24;8869229/50000000,79289/500000;8,17738458,0,59562501,0,74624999;8,15857800,0,56316604,0,113907184
49;L;24,25;79289/500000,5633/40000;8,15857800,0,56316604,0,113907184;8,14082500,0,53070707,0,58520151
49;L;25,26;5633/40000,12412559/100000000;8,14082500,0,53070707,0,58520151;8,12412559,0,49824810,0,108463900
49;L;26,27;12412559/100000000,1355997/12500000;8,12412559,0,49824810,0,108463900;8,10847976,0,46578913,0,63738431
49;L;27,28;1355997/12500000,10110019/100000000;8,10847976,0,46578913,0,63738431;8,10110019,0,44966696,0,50843584
50;C;0,1;40242989/100000000;2,40,0,12,46,3624;2,40,0,12,46,3624
51;C;0,28;10110019/100000000;2,10,0,12,7,1758;2,10,0,14,8,1676
52;C;0,1;40242989/100000000;2,40,0,12,46,3624;2,40,0,12,46,3624
53;C;0,28;10110019/100000000;2,10,0,12,2,1848;2,10,0,14,8,1676
54;C;1,14;10726823/50000000;4,2145,1196,0,4542,210056;2,21,13,0,32,1983
54;C;14,21;21310467/100000000;2,21,13,0,32,1983;2,21,14,0,22,3036
54;C;21,28;10110019/100000000;2,10,14,0,22,836;2,10,14,0,8,1676
55;C;0,12;6911/32000;2,21,0,61,2,471;2,21,0,64,3,86
56;C;0,12;6911/32000;2,21,0,61,0,479;2,21,0,64,3,86
57;C;0,28;10110019/100000000;2,10,0,12,0,1856;2,10,0,14,0,1804
58;C;0,28;10110019/100000000;2,10,0,12,0,1856;2,10,0,14,0,1804
59;C;12,20;21310467/100000000;2,21,0,64,3,86;2,21,0,41,1,2517
59;C;20,28;10110019/100000000;2,10,0,41,1,317;2,10,0,14,0,1804
60;C;0,1;40242989/100000000;2,40,0,20,46,3368;2,40,0,20,46,3368
61;C;0,28;10110019/100000000;2,10,0,24,7,1326;2,10,0,28,8,1088
62;C;0,1;40242989/100000000;2,40,0,19,46,3407;2,40,0,20,46,3368
63;C;0,28;10110019/100000000;2,10,0,18,2,1668;2,10,0,28,8,1088
64;C;1,7;14072747/50000000;2,28,20,0,46,968;2,28,21,0,41,1797
64;C;7,14;10726823/50000000;2,21,21,0,41,397;2,21,23,0,32,1623
64;C;14,21;21310467/100000000;2,21,23,0,32,1623;2,21,25,0,22,2607
64;C;21,28;10110019/100000000;2,10,25,0,22,407;2,10,28,0,8,1088
65;C;0,1;40242989/100000000;2,40,0,61,22,3311;2,40,0,61,22,3311
66;C;0,12;6911/32000;2,21,0,61,8,351;4,2159,0,6321,813,1903021
67;C;0,1;40242989/100000000;2,40,0,61,22,3311;2,40,0,61,22,3311
68;C;0,12;6911/32000;2,21,0,61,7,381;4,2159,0,6321,813,1903021
69;C;1,6;153631/500000;2,30,61,0,22,1311;2,30,62,0,18,1508
69;C;6,9;354833/1562500;4,2270,6124,0,1735,1876174;2,22,63,0,12,143
69;C;9,12;6911/32000;4,2159,6256,0,1116,1551552;4,2159,6321,0,813,1903021
70;C;12,20;21310467/100000000;4,2131,0,6321,813,1343021;2,21,0,41,8,2391
70;C;20,28;10110019/100000000;2,10,0,41,8,191;2,10,0,14,8,1676
71;C;0,1;40242989/100000000;2,40,0,61,25,3029;2,40,0,61,25,3029
72;C;0,1;40242989/100000000;2,40,0,61,25,3029;2,40,0,61,25,3029
73;C;1,5;33192903/100000000;2,33,61,0,25,1629;2,33,62,0,23,1698
73;C;5,7;14072747/50000000;2,28,62,0,23,698;2,28,62,0,20,956
73;C;7,8;5005781/20000000;2,25,62,0,20,356;2,25,63,0,18,383
73;C;8,10;22443589/100000000;4,2244,6206,0,1771,92682;4,2244,6264,0,1524,997152
73;L;10,11;22443589/100000000,2708783/12500000;4,2244,6264,0,1524,997152;8,21670264,63060000,0,13369537,160811262
73;L;11,12;2708783/12500000,6911/32000;8,21670264,63060000,0,13369537,160811262;8,21596875,63206302,0,12734566,45068084
73;L;12,13;6911/32000,21472381/100000000;8,21596875,63206302,0,12734566,45068084;8,21472381,63506009,0,11433786,96304327
73;L;13,14;21472381/100000000,10726823/50000000;8,21472381,63506009,0,11433786,96304327;8,21453646,63560000,0,11199455,15405950
73;L;14,15;10726823/50000000,10666857/50000000;8,21453646,63560000,0,11199455,15405950;8,21333714,64060000,0,9029373,46453742
73;L;15,16;10666857/50000000,21310467/100000000;8,21333714,64060000,0,9029373,46453742;8,21310467,64560000,0,6859291,53954638
73;L;16,17;21310467/100000000,4276781/20000000;8,21310467,64560000,0,6859291,53954638;8,21383905,65060000,0,4689208,56665472
73;L;17,18;4276781/20000000,5388507/25000000;8,21383905,65060000,0,4689208,56665472;8,21554028,65560000,0,2519126,8392248
73;L;18,19;5388507/25000000,5426891/25000000;8,21554028,65560000,0,2519126,8392248;10,2170756400,6586910918,0,117754098,503140810068
73;L;19,20;5426891/25000000,21820357/100000000;10,2170756400,6586910918,0,117754098,503140810068;8,21820357,66059239,0,352350,41695879
74;C;0,1;40242989/100000000;2,40,0,61,1,4277;2,40,0,61,1,4277
75;C;0,6;153631/500000;2,30,0,61,1,2277;2,30,0,62,1,2154
76;C;0,1;40242989/100000000;2,40,0,61,1,4277;2,40,0,61,1,4277
77;C;0,6;153631/500000;2,30,0,61,0,2279;2,30,0,62,1,2154
78;C;1,6;153631/500000;2,30,61,0,1,2277;2,30,62,0,1,2154
79;C;0,19;21310467/100000000;2,21,0,32,0,3176;2,21,0,35,0,2975
80;C;0,19;21310467/100000000;2,21,0,39,0,2679;2,21,0,35,0,2975
81;C;6,19;21310467/100000000;2,21,0,62,1,354;2,21,0,35,0,2975
82;C;0,1;40242989/100000000;2,40,0,10,26,6548;2,40,0,10,26,6548
83;C;0,19;21310467/100000000;2,21,0,10,6,4028;2,21,0,11,6,4007
84;C;0,1;40242989/100000000;2,40,0,10,26,6548;2,40,0,10,26,6548
85;C;0,19;21310467/100000000;2,21,0,10,3,4082;2,21,0,11,6,4007
86;C;1,19;21310467/100000000;2,21,10,0,26,2748;2,21,11,0,6,4007
87;C;0,1;40242989/100000000;2,40,0,49,1,5597;2,40,0,49,1,5597
88;C;0,19;21310467/100000000;2,21,0,10,0,4100;2,21,0,11,0,4079
89;C;0,1;40242989/100000000;2,40,0,49,1,5597;2,40,0,49,1,5597
90;C;0,19;21310467/100000000;2,21,0,10,0,4100;2,21,0,11,0,4079
91;C;1,19;21310467/100000000;2,21,0,49,1,1797;2,21,0,11,0,4079
92;C;0,1;40242989/100000000;2,40,0,18,26,6324;2,40,0,18,26,6324
93;C;0,19;21310467/100000000;2,21,0,19,6,3767;2,21,0,21,6,3687
94;C;0,1;40242989/100000000;2,40,0,17,26,6359;2,40,0,18,26,6324
95;C;0,19;21310467/100000000;2,21,0,15,3,3957;2,21,0,21,6,3687
96;C;1,19;21310467/100000000;2,21,18,0,26,2524;2,21,21,0,6,3687
97;C;0,1;40242989/100000000;2,40,0,49,6,5527;2,40,0,49,6,5527
98;C;0,1;40242989/100000000;2,40,0,49,6,5527;2,40,0,49,6,5527
99;C;1,19;21310467/100000000;2,21,0,49,6,1727;2,21,0,11,6,4007
100;C;0,1;40242989/100000000;2,40,0,61,4,4247;2,40,0,61,4,4247
101;C;0,1;40242989/100000000;2,40,0,61,4,4247;2,40,0,61,4,4247
102;C;1,6;153631/500000;2,30,61,0,4,2247;2,30,62,0,1,2154
MASS SLACK NUMERATOR 13689814497563009751953912882400946503099592909308345120189208030572186282269762870634485457483567323453247

BIN 14: PPC; (21/16,127/96]; gamma0=3009/5000; mass ceiling=99380519/100000000.
GAMMA 0=3009/5000;1=14276784375/23583842081;2=2900323125000/4785432325523;3=1517/2500;4=213140025000/350846459471;5=3059/5000;6=719310112500/1174723844237;7=771/1250;8=3109/5000;9=1567/2500;10=65950500000/105029614573;11=3159/5000;12=11841112500/18712498331;13=398/625;14=7082184375/11115600281;15=3209/5000;16=1617/2500;17=3259/5000;18=821/1250;19=11578809375/17548472006;20=133062628125/201518809553;21=3309/5000;22=1667/2500;23=3359/5000;24=423/625;25=3409/5000;26=1717/2500;27=3459/5000;28=8880834375/12791942081;29=871/1250;30=3509/5000;31=1767/2500;32=3559/5000;33=448/625;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40205202,40660507;1,2,40660507,40246974;2,3,40246974,39858447;3,4,39858447,39516032;4,5,39516032,33221672;5,6,33221672,32500984;6,7,32500984,28228700;7,8,28228700,25179131;8,9,25179131,22891226;9,10,22891226,22482145;10,11,22482145,21651001;11,12,21651001,21603384;12,13,21603384,21449795;13,14,21449795,21439660;14,15,21439660,21345603;15,16,21345603,21338425;16,17,21338425,21428260;17,18,21428260,21615110;18,19,21615110,21774883;19,20,21774883,21803556;20,21,21803556,21153006;21,22,21153006,19058071;22,23,19058071,17073627;23,24,17073627,15198876;24,25,15198876,13433124;25,26,13433124,11776371;26,27,11776371,10228617;27,28,10228617,9509364;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;259834040303/70147350000,5/13,23583842081/10791900000;-217577216894159
1;0,6,7;4/13,1,7;-2
3;0,3,7;173/416,3,1;-2
4;2,3,7;427/208,49/26,21/32;-119
5;2,3,8;2303/1248,56/39,21/32;-77
8;1,3,6;149/624,75/26,127/96;-149
9;1,4,10;14232660731/3597300000,3/2,23583842081/10791900000;-10164718607243
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;55/24,1/3,21/32;-1
17;2,3,8;2303/1248,56/39,21/32;-77
19;0,3,13;461/624,2,1;-1
21;0,3,13;365/1248,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;2303/1248,56/39,21/32;-77
26;1,3,12;461/624,44/13,127/96;-461
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;173/416,3,1;-2
31;2,3,7;635/208,49/26,79/96;-149
33;1,4,7;88593567053/28058940000,101/26,23583842081/10791900000;-4736966894159
35;1,3,6;149/624,75/26,127/96;-149
36;1,4,10;19986542081/3597300000,1/2,23583842081/10791900000;-19157968607243
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,10;88593567053/28058940000,101/26,23583842081/10791900000;-4736966894159
45;1,4,13;270616947053/46764900000,5/13,23583842081/10791900000;-217577216894159
46;0,3,13;461/624,2,1;-1
48;0,3,13;365/1248,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;461/624,44/13,127/96;-461
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;843/208,31/13,103/96;-149
60;0,1,12;1/2,3,1;-1
62;1,3,6;149/624,75/26,127/96;-149
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;8774236003/1348987500,1,23583842081/10791900000;-5668093607243
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;461/624,2,1;-1
74;1,4,6;8774236003/1348987500,1,23583842081/10791900000;-5668093607243
75;0,3,13;365/1248,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;461/624,44/13,127/96;-461
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;1772329130022412,1039002086987679710700000,20950193381024,16928
6;1,4,12,3;13444513704672,11961585091664756100000,13337504602348,544
7;11,4,2,3;13337504602348,72457525562513823900000,20950193381024,1184
11;8,4,6,3;1772329130022412,81273613565311982521875,41155169249529,6328
14;5,4,2,3;41155169249529,1737983923829420990625,20950193381024,248
15;1,4,12,3;13444513704672,11961585091664756100000,13337504602348,544
16;11,4,2,3;13337504602348,72457525562513823900000,20950193381024,1184
18;1,4,13,3;13444513704672,58446351516641829300000,1772329130022412,2464
20;1,4,6,3;13444513704672,10220234978124820884375,41155169249529,3864
23;5,4,2,3;41155169249529,1737983923829420990625,20950193381024,248
24;1,4,2,3;13444513704672,129405672900000000000000,20950193381024,2048
29;1,4,7,3;13444513704672,574817746129970195160000,73560917264668704,134592
32;8,4,2,3;73560917264668704,79452159825513804840000,189222980904672,45120
34;1,4,2,3;13444513704672,97054254675000000000000,189222980904672,4608
38;1,4,6,3;13444513704672,33234752487498567075000,17397930132126,1560
41;5,4,2,3;17397930132126,2697975000,189222980904672,24
43;1,4,2,3;13444513704672,97054254675000000000000,189222980904672,4608
44;8,4,2,3;73560917264668704,79452159825513804840000,189222980904672,45120
47;1,4,6,3;13444513704672,33234752487498567075000,17397930132126,1560
50;5,4,2,3;17397930132126,2697975000,189222980904672,24
51;1,4,9,3;13444513704672,574817746129970195160000,73560917264668704,134592
52;8,4,2,3;73560917264668704,79452159825513804840000,189222980904672,45120
56;1,4,7,3;13444513704672,70135621819970195160000,19283632739550504,14784
59;8,4,2,3;19283632739550504,110504391711107740920000,81451113743136,75072
61;1,4,2,3;13444513704672,24263563668750000000000,81451113743136,2304
68;1,4,2,3;13444513704672,24263563668750000000000,81451113743136,2304
70;1,4,2,3;13444513704672,24263563668750000000000,81451113743136,2304
71;8,4,2,3;19283632739550504,110504391711107740920000,81451113743136,75072
77;1,4,2,3;13444513704672,24263563668750000000000,81451113743136,2304
78;1,4,9,3;13444513704672,70135621819970195160000,19283632739550504,14784
79;8,4,2,3;19283632739550504,110504391711107740920000,81451113743136,75072
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/14;E/4,5/2/0/2;E/4,2/3/0/14;E/4,3/4/2/14
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/14;E/4,11/8/0/4;E/4,2/11/0/14;E/4,3/12/4/14
11:V/3,8/0/0/2;V/6,3/13/0/10;E/4,8/2/0/2;E/4,6/14/0/10;E/4,3/4/2/10
14:V/3,5/13/0/10;V/2,3/15/0/14;E/4,5/14/0/10;E/4,2/16/0/14;E/4,3/17/10/14
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/14;E/4,11/21/0/4;E/4,2/24/0/14;E/4,3/25/4/14
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/10;E/4,1/31/0/1;E/4,6/32/0/10;E/4,3/33/1/10
23:V/3,5/30/0/10;V/2,3/34/0/14;E/4,5/32/0/10;E/4,2/35/0/14;E/4,3/36/10/14
24:V/3,1/37/0/1;V/2,3/38/0/14;E/4,1/39/0/1;E/4,2/40/0/14;E/4,3/41/1/14
29:V/3,1/42/0/1;V/7,3/43/0/20;E/4,1/44/0/1;E/4,7/45/0/20;E/4,3/46/1/20
32:V/3,8/43/0/20;V/2,3/47/0/28;E/4,8/45/0/20;E/4,2/48/0/28;E/4,3/49/20/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/12;E/4,1/44/0/1;E/4,6/56/0/12;E/4,3/46/1/12
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/12;V/2,3/57/0/28;E/4,5/56/0/12;E/4,2/58/0/28;E/4,3/59/12/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/20;V/2,3/47/0/28;E/4,8/45/0/20;E/4,2/48/0/28;E/4,3/49/20/28
47:V/3,1/65/0/1;V/6,3/66/0/12;E/4,1/67/0/1;E/4,6/68/0/12;E/4,3/69/1/12
50:V/3,5/66/0/12;V/2,3/51/0/28;E/4,5/68/0/12;E/4,2/53/0/28;E/4,3/70/12/28
51:V/3,1/71/0/1;V/9,3/43/0/20;E/4,1/72/0/1;E/4,9/45/0/20;E/4,3/73/1/20
52:V/3,8/43/0/20;V/2,3/47/0/28;E/4,8/45/0/20;E/4,2/48/0/28;E/4,3/49/20/28
56:V/3,1/74/0/1;V/7,3/75/0/6;E/4,1/76/0/1;E/4,7/77/0/6;E/4,3/78/1/6
59:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/6;E/4,1/101/0/1;E/4,9/77/0/6;E/4,3/102/1/6
79:V/3,8/75/0/6;V/2,3/79/0/19;E/4,8/77/0/6;E/4,2/80/0/19;E/4,3/81/6/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;20102601/50000000;2,40,61,61,8,430;2,40,61,61,8,430
1;C;0,14;1071983/5000000;2,21,0,61,1,477;2,21,0,64,1,102
2;C;0,2;20102601/50000000;2,40,61,61,8,430;2,40,61,61,8,430
3;C;0,14;1071983/5000000;2,21,0,61,0,479;2,21,0,64,1,102
4;C;2,3;39858447/100000000;2,39,61,61,8,230;2,39,61,59,8,470
4;C;3,4;308719/781250;2,39,61,59,8,470;2,39,61,57,8,702
4;L;4,5;308719/781250,4152709/12500000;2,39,61,57,8,702;2,33,62,45,7,633
4;C;5,6;4062623/12500000;2,32,62,45,7,433;2,32,62,43,7,609
4;L;6,7;4062623/12500000,282287/1000000;2,32,62,43,7,609;2,28,62,30,6,784
4;C;7,8;25179131/100000000;2,25,62,30,6,184;2,25,63,16,5,725
4;C;8,14;1071983/5000000;4,2143,6218,1531,427,1487857;2,21,64,0,1,102
5;C;0,1;20102601/50000000;2,40,0,22,61,74;2,40,0,22,61,74
6;C;0,4;308719/781250;2,39,0,16,61,102;2,39,0,16,61,102
7;C;0,1;20102601/50000000;2,40,0,22,61,74;2,40,0,22,61,74
8;C;0,4;308719/781250;2,39,0,16,61,102;2,39,0,16,61,102
9;C;1,4;308719/781250;4,3951,0,2122,6054,1215284;2,39,0,16,61,102
10;C;0,14;1071983/5000000;2,21,0,16,21,3062;2,21,0,16,22,2976
11;C;0,14;1071983/5000000;2,21,0,16,20,3144;2,21,0,16,22,2976
12;L;4,5;308719/781250,4152709/12500000;2,39,16,0,61,102;2,33,16,0,56,72
12;C;5,6;4062623/12500000;4,3250,1530,0,5508,1982972;2,32,16,0,55,94
12;L;6,7;4062623/12500000,282287/1000000;2,32,16,0,55,94;2,28,16,0,49,542
12;C;7,8;25179131/100000000;4,2517,1542,0,4848,956028;2,25,16,0,42,1216
12;C;8,9;11445613/50000000;2,22,16,0,42,616;2,22,16,0,36,1552
12;C;9,14;1071983/5000000;2,21,16,0,36,1352;2,21,16,0,22,2976
13;C;0,10;4496429/20000000;2,22,0,61,3,661;2,22,0,63,3,413
14;C;0,10;4496429/20000000;2,22,0,61,0,679;2,22,0,63,3,413
15;C;0,14;1071983/5000000;2,21,0,38,1,2754;2,21,0,41,1,2517
16;C;0,14;1071983/5000000;2,21,0,40,0,2600;2,21,0,41,1,2517
17;C;10,14;1071983/5000000;2,21,0,63,3,213;2,21,0,41,1,2517
18;L;0,1;20102601/50000000,40660507/100000000;4,4020,0,2817,6018,31863;10,4066050700,0,2833399303,6053629569,472416862669
19;C;0,4;308719/781250;4,3951,0,2264,6018,1461656;10,3951603200,0,2284788284,6075022827,1800154191486
20;L;0,1;20102601/50000000,40660507/100000000;8,40205202,0,28244920,60180000,94193600;10,4066050700,0,2833399303,6053629569,472416862669
21;C;0,4;308719/781250;4,3951,0,2231,6018,1609991;10,3951603200,0,2284788284,6075022827,1800154191486
22;L;1,2;40660507/100000000,20123487/50000000;10,4066050700,0,2833399303,6053629569,472416862669;10,4024697400,0,2651218652,6060733760,240079827696
22;L;2,3;20123487/50000000,39858447/100000000;10,4024697400,0,2651218652,6060733760,240079827696;8,39858447,0,24648825,60680000,26119375
22;L;3,4;39858447/100000000,308719/781250;8,39858447,0,24648825,60680000,26119375;10,3951603200,0,2284788284,6075022827,1800154191486
23;C;0,14;1071983/5000000;2,21,0,30,21,2418;2,21,0,32,22,2208
24;C;0,14;1071983/5000000;2,21,0,28,20,2616;2,21,0,32,22,2208
25;L;4,5;308719/781250,4152709/12500000;10,3951603200,2284788284,0,6075022827,1800154191486;10,3322167200,2403585806,0,5507545623,1694342414106
25;L;5,6;4152709/12500000,4062623/12500000;10,3322167200,2403585806,0,5507545623,1694342414106;10,3250098400,2418035140,0,5438523415,190718655950
25;L;6,7;4062623/12500000,282287/1000000;10,3250098400,2418035140,0,5438523415,190718655950;2,28,26,0,49,122
25;L;7,8;282287/1000000,25179131/100000000;2,28,26,0,49,122;2,25,27,0,42,743
25;C;8,9;11445613/50000000;2,22,27,0,42,143;2,22,29,0,36,967
25;C;9,14;1071983/5000000;2,21,29,0,36,767;2,21,32,0,22,2208
26;C;0,1;20102601/50000000;2,40,61,61,10,358;2,40,61,61,10,358
27;C;0,1;20102601/50000000;2,40,61,61,9,396;2,40,61,61,10,358
28;C;1,2;20123487/50000000;2,40,61,61,10,358;2,40,61,61,8,430
29;C;0,1;20102601/50000000;2,40,0,61,41,917;2,40,0,61,41,917
30;C;0,10;4496429/20000000;2,22,0,61,10,479;2,22,0,63,11,189
31;C;0,1;20102601/50000000;2,40,0,61,41,917;2,40,0,61,41,917
32;C;0,10;4496429/20000000;2,22,0,61,9,517;2,22,0,63,11,189
33;C;1,3;39858447/100000000;2,39,61,0,41,717;2,39,61,0,39,1037
33;C;3,4;308719/781250;2,39,61,0,39,1037;2,39,61,0,38,1191
33;C;4,5;4152709/12500000;4,3322,6076,0,3797,687806;2,33,62,0,33,578
33;C;5,6;4062623/12500000;2,32,62,0,33,378;2,32,62,0,32,508
33;L;6,7;4062623/12500000,282287/1000000;2,32,62,0,32,508;2,28,62,0,26,404
33;L;7,8;282287/1000000,25179131/100000000;2,28,62,0,26,404;2,25,63,0,19,309
33;C;8,9;11445613/50000000;4,2289,6218,0,1856,227004;2,22,63,0,12,143
33;C;9,10;4496429/20000000;2,22,63,0,12,143;2,22,63,0,11,189
34;C;0,14;1071983/5000000;2,21,0,38,9,2594;2,21,0,41,10,2319
35;C;0,14;1071983/5000000;2,21,0,40,8,2472;2,21,0,41,10,2319
36;C;10,14;1071983/5000000;4,2143,0,6280,1024,1324448;2,21,0,41,10,2319
37;C;0,1;20102601/50000000;2,40,0,61,45,229;2,40,0,61,45,229
38;C;0,14;1071983/5000000;2,21,0,61,5,429;2,21,0,64,6,32
39;C;0,1;20102601/50000000;2,40,0,61,45,229;2,40,0,61,45,229
40;C;0,14;1071983/5000000;2,21,0,61,4,447;2,21,0,64,6,32
41;C;1,4;308719/781250;2,39,61,0,45,29;2,39,61,0,42,551
41;L;4,5;308719/781250,4152709/12500000;2,39,61,0,42,551;2,33,62,0,37,18
41;C;5,6;4062623/12500000;4,3250,6118,0,3651,910474;4,3250,6124,0,3586,1777832
41;L;6,7;4062623/12500000,282287/1000000;4,3250,6124,0,3586,1777832;8,28228700,61680000,0,30342359,100630238
41;L;7,8;282287/1000000,25179131/100000000;8,28228700,61680000,0,30342359,100630238;8,25179131,62180000,0,24181332,165411552
41;L;8,9;25179131/100000000,11445613/50000000;8,25179131,62180000,0,24181332,165411552;8,22891226,62680000,0,18020305,15413950
41;L;9,10;11445613/50000000,4496429/20000000;8,22891226,62680000,0,18020305,15413950;8,22482145,62792290,0,16636664,138458108
41;L;10,11;4496429/20000000,21651001/100000000;8,22482145,62792290,0,16636664,138458108;4,2165,6318,0,1186,569684
41;C;11,12;2700423/12500000;4,2160,6318,0,1186,469684;4,2160,6328,0,1064,892224
41;C;12,14;1071983/5000000;4,2143,6328,0,1064,552224;2,21,64,0,6,32
42;C;0,1;20102601/50000000;2,40,26,61,4,3571;2,40,26,61,4,3571
43;C;0,10;4496429/20000000;2,22,0,61,1,677;2,22,0,63,1,429
43;C;10,15;21345603/100000000;2,21,0,63,1,229;4,2134,0,6418,61,1481834
43;C;15,17;853537/4000000;4,2133,0,6418,61,1461834;4,2133,0,6518,62,167988
43;L;17,18;1071413/5000000,2161511/10000000;4,2142,0,6518,62,347988;4,2161,0,6568,62,73688
43;L;18,19;2161511/10000000,21774883/100000000;4,2161,0,6568,62,73688;6,217748,0,659819,6185,58378789
43;L;19,20;21774883/100000000,5450889/25000000;6,217748,0,659819,6185,58378789;8,21803556,0,66029880,618856,181688128
44;C;0,1;20102601/50000000;2,40,61,26,4,3571;2,40,61,26,4,3571
45;C;0,10;4496429/20000000;2,22,0,61,0,679;2,22,0,63,0,431
45;C;10,15;21345603/100000000;2,21,0,63,0,231;4,2134,0,6418,0,1489276
45;C;15,17;853537/4000000;4,2133,0,6418,0,1469276;4,2133,0,6518,0,175676
45;L;17,18;1071413/5000000,2161511/10000000;4,2142,0,6518,0,355676;4,2161,0,6568,0,81376
45;L;18,19;2161511/10000000,21774883/100000000;4,2161,0,6568,0,81376;6,217748,0,659819,5259,79573077
45;L;19,20;21774883/100000000,5450889/25000000;6,217748,0,659819,5259,79573077;8,21803556,0,66029880,618856,181688128
46;C;1,10;4496429/20000000;4,2248,6054,2566,362,1462640;2,22,63,4,3,397
46;C;10,15;21345603/100000000;2,21,63,4,3,197;4,2134,6418,0,163,1436138
46;C;15,17;853537/4000000;4,2133,6418,0,163,1416138;4,2133,6518,0,109,151914
46;L;17,18;1071413/5000000,2161511/10000000;4,2142,6518,0,109,331914;4,2161,6568,0,81,68254
46;L;18,19;2161511/10000000,21774883/100000000;4,2161,6568,0,81,68254;6,217748,659819,0,6451,51656437
46;L;19,20;21774883/100000000,5450889/25000000;6,217748,659819,0,6451,51656437;8,21803556,66029880,0,618856,181688128
47;C;0,28;2377341/25000000;2,9,0,38,0,356;8,9509364,0,43610465,0,142483775
48;C;0,14;1071983/5000000;2,21,0,50,0,1700;2,21,0,48,0,1896
48;C;14,21;10576503/50000000;2,21,0,48,0,1896;2,21,0,46,0,2084
48;C;21,24;3799719/25000000;2,15,0,46,0,884;2,15,0,45,0,975
48;C;24,26;11776371/100000000;2,11,0,45,0,175;2,11,0,45,0,175
48;C;26,27;10228617/100000000;4,1022,0,4408,0,1009536;2,10,0,44,0,64
48;L;27,28;10228617/100000000,2377341/25000000;2,10,0,44,0,64;8,9509364,0,43610465,0,142483775
49;L;20,21;5450889/25000000,10576503/50000000;8,21803556,0,66029880,618856,181688128;8,21153006,0,65038640,536855,80368350
49;L;21,22;10576503/50000000,19058071/100000000;8,21153006,0,65038640,536855,80368350;8,19058071,0,61737145,263735,14948525
49;L;22,23;19058071/100000000,17073627/100000000;8,19058071,0,61737145,263735,14948525;8,17073627,0,58435651,0,92206199
49;L;23,24;17073627/100000000,3799719/25000000;8,17073627,0,58435651,0,92206199;8,15198876,0,55134156,0,42167664
49;L;24,25;3799719/25000000,3358281/25000000;8,15198876,0,55134156,0,42167664;10,1343312400,0,5183266147,0,49363774391
49;L;25,26;3358281/25000000,11776371/100000000;10,1343312400,0,5183266147,0,49363774391;10,1177637100,0,4853116701,0,286474876599
49;L;26,27;11776371/100000000,10228617/100000000;10,1177637100,0,4853116701,0,286474876599;8,10228617,0,45229673,0,80313071
49;L;27,28;10228617/100000000,2377341/25000000;8,10228617,0,45229673,0,80313071;8,9509364,0,43610465,0,142483775
50;C;0,1;20102601/50000000;2,40,0,12,45,3806;2,40,0,12,46,3624
51;C;0,28;2377341/25000000;2,9,0,12,7,1558;2,9,0,14,7,1506
52;C;0,1;20102601/50000000;2,40,0,12,46,3624;2,40,0,12,46,3624
53;C;0,28;2377341/25000000;2,9,0,12,2,1648;2,9,0,14,7,1506
54;C;1,14;1071983/5000000;4,2143,1136,0,4524,636352;2,21,12,0,32,2008
54;C;14,21;10576503/50000000;2,21,12,0,32,2008;2,21,13,0,21,3149
54;C;21,28;2377341/25000000;2,9,13,0,21,749;2,9,14,0,7,1506
55;C;0,12;2700423/12500000;2,21,0,61,3,461;2,21,0,64,3,86
56;C;0,12;2700423/12500000;2,21,0,61,0,479;2,21,0,64,3,86
57;C;0,28;2377341/25000000;2,9,0,12,0,1656;2,9,0,14,0,1604
58;C;0,28;2377341/25000000;2,9,0,12,0,1656;2,9,0,14,0,1604
59;C;12,20;853537/4000000;2,21,0,64,3,86;2,21,0,41,1,2517
59;C;20,28;2377341/25000000;2,9,0,41,1,117;2,9,0,14,0,1604
60;C;0,1;20102601/50000000;2,40,0,19,45,3589;2,40,0,20,46,3368
61;C;0,28;2377341/25000000;2,9,0,24,7,1126;2,9,0,28,7,918
62;C;0,1;20102601/50000000;2,40,0,19,46,3407;2,40,0,20,46,3368
63;C;0,28;2377341/25000000;2,9,0,18,2,1468;2,9,0,28,7,918
64;C;1,7;282287/1000000;2,28,20,0,46,968;2,28,21,0,41,1797
64;C;7,14;1071983/5000000;2,21,21,0,41,397;2,21,22,0,32,1668
64;C;14,21;10576503/50000000;2,21,22,0,32,1668;2,21,25,0,21,2693
64;C;21,28;2377341/25000000;2,9,25,0,21,293;2,9,28,0,7,918
65;C;0,1;20102601/50000000;2,40,0,61,21,3397;2,40,0,61,21,3397
66;C;0,12;2700423/12500000;2,21,0,61,8,351;4,2160,0,6328,772,1964448
67;C;0,1;20102601/50000000;2,40,0,61,21,3397;2,40,0,61,21,3397
68;C;0,12;2700423/12500000;2,21,0,61,6,407;4,2160,0,6328,772,1964448
69;C;1,6;4062623/12500000;2,32,61,0,21,1797;2,32,62,0,18,1908
69;C;6,9;11445613/50000000;4,2289,6124,0,1737,2242286;2,22,63,0,11,189
69;C;9,12;2700423/12500000;4,2160,6268,0,1055,1686126;4,2160,6328,0,772,1964448
70;C;12,20;853537/4000000;4,2133,0,6328,772,1424448;2,21,0,41,8,2391
70;C;20,28;2377341/25000000;4,950,0,4079,738,1272471;2,9,0,14,7,1506
71;C;0,1;20102601/50000000;2,40,0,61,25,3029;2,40,0,61,25,3029
72;C;0,1;20102601/50000000;2,40,0,61,25,3029;2,40,0,61,25,3029
73;C;1,5;4152709/12500000;2,33,61,0,25,1629;2,33,62,0,22,1788
73;C;5,7;282287/1000000;2,28,62,0,22,788;2,28,62,0,20,956
73;C;7,8;25179131/100000000;2,25,62,0,20,356;2,25,63,0,18,383
73;C;8,10;4496429/20000000;4,2248,6218,0,1736,269084;4,2248,6280,0,1470,1199800
73;L;10,11;4496429/20000000,21651001/100000000;4,2248,6280,0,1470,1199800;8,21651001,63180000,0,13009375,124218750
73;L;11,12;21651001/100000000,2700423/12500000;8,21651001,63180000,0,13009375,124218750;8,21603384,63279164,0,12578236,161717712
73;L;12,13;2700423/12500000,4289959/20000000;8,21603384,63279164,0,12578236,161717712;8,21449795,63680000,0,10835508,132763872
73;L;13,14;4289959/20000000,1071983/5000000;8,21449795,63680000,0,10835508,132763872;8,21439660,63713918,0,10688044,83997404
73;L;14,15;1071983/5000000,21345603/100000000;8,21439660,63713918,0,10688044,83997404;8,21345603,64180000,0,8661641,150374238
73;L;15,16;21345603/100000000,853537/4000000;8,21345603,64180000,0,8661641,150374238;8,21338425,64680000,0,6487775,151098750
73;L;16,17;853537/4000000,1071413/5000000;8,21338425,64680000,0,6487775,151098750;10,2142826000,6518000000,0,431390744,51982252928
73;L;17,18;1071413/5000000,2161511/10000000;10,2142826000,6518000000,0,431390744,51982252928;8,21615110,65680000,0,2140041,49036638
73;L;18,19;2161511/10000000,21774883/100000000;8,21615110,65680000,0,2140041,49036638;10,2177488300,6598186652,0,82760562,284123919208
73;L;19,20;21774883/100000000,5450889/25000000;10,2177488300,6598186652,0,82760562,284123919208;8,21803556,66029880,0,618856,181688128
74;C;0,1;20102601/50000000;2,40,0,61,1,4277;2,40,0,61,1,4277
75;C;0,6;4062623/12500000;2,32,0,61,1,2677;2,32,0,62,1,2554
76;C;0,1;20102601/50000000;2,40,0,61,1,4277;2,40,0,61,1,4277
77;C;0,6;4062623/12500000;2,32,0,61,0,2679;2,32,0,62,1,2554
78;C;1,6;4062623/12500000;2,32,61,0,1,2677;2,32,62,0,1,2554
79;C;0,19;853537/4000000;2,21,0,31,0,3239;2,21,0,34,0,3044
80;C;0,19;853537/4000000;2,21,0,38,0,2756;2,21,0,34,0,3044
81;C;6,19;853537/4000000;2,21,0,62,1,354;2,21,0,34,0,3044
82;C;0,1;20102601/50000000;2,40,0,10,25,6650;2,40,0,10,26,6548
83;C;0,19;853537/4000000;2,21,0,10,5,4050;2,21,0,10,6,4028
84;C;0,1;20102601/50000000;2,40,0,10,25,6650;2,40,0,10,26,6548
85;C;0,19;853537/4000000;2,21,0,10,2,4092;2,21,0,10,6,4028
86;C;1,19;853537/4000000;2,21,10,0,26,2748;2,21,10,0,6,4028
87;C;0,1;20102601/50000000;2,40,0,48,1,5694;2,40,0,48,1,5694
88;C;0,19;853537/4000000;2,21,0,10,0,4100;2,21,0,10,0,4100
89;C;0,1;20102601/50000000;2,40,0,48,1,5694;2,40,0,48,1,5694
90;C;0,19;853537/4000000;2,21,0,10,0,4100;2,21,0,10,0,4100
91;C;1,19;853537/4000000;2,21,0,48,1,1894;2,21,0,10,0,4100
92;C;0,1;20102601/50000000;2,40,0,18,25,6426;2,40,0,18,26,6324
93;C;0,19;853537/4000000;2,21,0,19,5,3789;2,21,0,21,6,3687
94;C;0,1;20102601/50000000;2,40,0,17,25,6461;2,40,0,18,26,6324
95;C;0,19;853537/4000000;2,21,0,15,2,3967;2,21,0,21,6,3687
96;C;1,19;853537/4000000;2,21,18,0,26,2524;2,21,21,0,6,3687
97;C;0,1;20102601/50000000;2,40,0,48,6,5624;2,40,0,48,6,5624
98;C;0,1;20102601/50000000;2,40,0,48,6,5624;2,40,0,48,6,5624
99;C;1,19;853537/4000000;2,21,0,48,6,1824;2,21,0,10,6,4028
100;C;0,1;20102601/50000000;2,40,0,61,4,4247;2,40,0,61,4,4247
101;C;0,1;20102601/50000000;2,40,0,61,4,4247;2,40,0,61,4,4247
102;C;1,6;4062623/12500000;2,32,61,0,4,2647;2,32,62,0,1,2554
MASS SLACK NUMERATOR 64325939570070058031763646070595804446066392072332596857348660971190038094139554506013338876822879862868392427

BIN 15: PPC; (127/96,4/3]; gamma0=603/1000; mass ceiling=49889053/50000000.
GAMMA 0=603/1000;1=2055600000/3389209583;2=26208900000/43169135879;3=76/125;4=240890625/395820301;5=26037600000/42526932179;6=613/1000;7=309/500;8=623/1000;9=157/250;10=171300000/272127869;11=633/1000;12=1713000000/2704009583;13=319/500;14=1027800000/1608032183;15=643/1000;16=81/125;17=653/1000;18=329/500;19=19356900000/29327924579;20=835087500/1263506929;21=663/1000;22=167/250;23=673/1000;24=339/500;25=683/1000;26=86/125;27=693/1000;28=1284750000/1847509583;29=349/500;30=703/1000;31=177/250;32=713/1000;33=359/500;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40170300,40618143;1,2,40618143,40280429;2,3,40280429,39833863;3,4,39833863,39563343;4,5,39563343,34224949;5,6,34224949,33208377;6,7,33208377,28280778;7,8,28280778,25297835;8,9,25297835,23045550;9,10,23045550,22517854;10,11,22517854,21632331;11,12,21632331,21609243;12,13,21609243,21446909;13,14,21446909,21417661;14,15,21417661,21358851;15,16,21358851,21368158;16,17,21368158,21474831;17,18,21474831,21678868;18,19,21678868,21788680;19,20,21788680,21385510;20,21,21385510,20484052;21,22,20484052,18388970;22,23,18388970,16407829;23,24,16407829,14540622;24,25,14540622,12786621;25,26,12786621,11145317;26,27,11145317,9616709;27,28,9616709,8924261;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;37380309329/10021050000,5/13,3389209583/1541700000;-2095501546793
1;0,6,7;4/13,1,7;-2
3;0,3,7;5/13,3,1;-2
4;2,3,7;55/26,49/26,2/3;-43
5;2,3,8;74/39,56/39,2/3;-4
8;1,3,6;17/78,75/26,4/3;-17
9;1,4,10;2053326533/513900000,3/2,3389209583/1541700000;-98602042061
10;10;1;-1
12;8,10;3/2,6;-15
13;2,3,10;7/3,1/3,2/3;-1
17;2,3,8;74/39,56/39,2/3;-4
19;0,3,13;28/39,2,1;-1
21;0,3,13;11/39,1,1;-1
22;1,12,13;3,83/13,319/26;-1
25;2,3,8;74/39,56/39,2/3;-4
26;1,3,12;28/39,44/13,4/3;-28
27;0,1,7;8/13,2,1;-1
28;0,6,7;17/13,1,7;-2
30;0,3,7;5/13,3,1;-2
31;2,3,7;81/26,49/26,5/6;-17
33;1,4,7;12917384579/4008420000,101/26,3389209583/1541700000;-68451546793
35;1,3,6;17/78,75/26,4/3;-17
36;1,4,10;2875309583/513900000,1/2,3389209583/1541700000;-184252042061
37;10;1;-1
39;8,10;3/2,6;-15
42;1,4,10;12917384579/4008420000,101/26,3389209583/1541700000;-68451546793
45;1,4,13;38920724579/6680700000,5/13,3389209583/1541700000;-2095501546793
46;0,3,13;28/39,2,1;-1
48;0,3,13;11/39,1,1;-1
49;1,12,13;3,70/13,267/26;-1
53;1,3,12;28/39,44/13,4/3;-28
54;0,1,7;21/13,2,1;-1
55;0,6,7;30/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;107/26,31/13,13/12;-17
60;0,1,12;1/2,3,1;-1
62;1,3,6;17/78,75/26,4/3;-17
63;0,1,10;1/2,3,1;-2
64;10;1;-1
65;1,4,6;1263506929/192712500,1,3389209583/1541700000;-55777042061
66;8,10;3/2,6;-15
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;28/39,2,1;-1
74;1,4,6;1263506929/192712500,1,3389209583/1541700000;-55777042061
75;0,3,13;11/39,1,1;-1
76;1,12,13;3,57/13,215/26;-1
80;1,3,12;28/39,44/13,4/3;-28
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;256982649391,1424014860532862700000,19385531217,25
6;1,4,12,3;3968873817,15351713084852100000,7861274656,1
7;11,4,2,3;7861274656,99382173502527900000,19385531217,7
11;8,4,6,3;256982649391,15832998939283003125,7206894993,62
14;5,4,2,3;7206894993,348521631730284375,19385531217,3
15;1,4,12,3;3968873817,15351713084852100000,7861274656,1
16;11,4,2,3;7861274656,99382173502527900000,19385531217,7
18;1,4,13,3;3968873817,67525665103077300000,256982649391,1
20;1,4,6,3;3968873817,1974084617207840625,7206894993,15
23;5,4,2,3;7206894993,348521631730284375,19385531217,3
24;1,4,2,3;3968873817,176062140000000000000,19385531217,3
29;1,4,7,3;3968873817,767673144123692760000,21738099225219,129
32;8,4,2,3;21738099225219,120842051600307240000,113801147634,93
34;1,4,2,3;3968873817,132046605000000000000,113801147634,9
38;1,4,6,3;3968873817,44525436063639075000,82482221451,3
41;5,4,2,3;82482221451,385425000,113801147634,3
43;1,4,2,3;3968873817,132046605000000000000,113801147634,9
44;8,4,2,3;21738099225219,120842051600307240000,113801147634,93
47;1,4,6,3;3968873817,44525436063639075000,82482221451,3
50;5,4,2,3;82482221451,385425000,113801147634,3
51;1,4,9,3;3968873817,767673144123692760000,21738099225219,129
52;8,4,2,3;21738099225219,120842051600307240000,113801147634,93
56;1,4,7,3;3968873817,81030798123692760000,5120178648819,3
59;8,4,2,3;5120178648819,157081213791852120000,97590429084,303
61;1,4,2,3;3968873817,33011651250000000000,97590429084,9
68;1,4,2,3;3968873817,33011651250000000000,97590429084,9
70;1,4,2,3;3968873817,33011651250000000000,97590429084,9
71;8,4,2,3;5120178648819,157081213791852120000,97590429084,303
77;1,4,2,3;3968873817,33011651250000000000,97590429084,9
78;1,4,9,3;3968873817,81030798123692760000,5120178648819,3
79;8,4,2,3;5120178648819,157081213791852120000,97590429084,303
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/14;E/4,5/2/0/2;E/4,2/3/0/14;E/4,3/4/2/14
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/14;E/4,11/8/0/4;E/4,2/11/0/14;E/4,3/12/4/14
11:V/3,8/0/0/2;V/6,3/13/0/10;E/4,8/2/0/2;E/4,6/14/0/10;E/4,3/4/2/10
14:V/3,5/13/0/10;V/2,3/15/0/14;E/4,5/14/0/10;E/4,2/16/0/14;E/4,3/17/10/14
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/14;E/4,11/21/0/4;E/4,2/24/0/14;E/4,3/25/4/14
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/10;E/4,1/31/0/1;E/4,6/32/0/10;E/4,3/33/1/10
23:V/3,5/30/0/10;V/2,3/34/0/14;E/4,5/32/0/10;E/4,2/35/0/14;E/4,3/36/10/14
24:V/3,1/37/0/1;V/2,3/38/0/14;E/4,1/39/0/1;E/4,2/40/0/14;E/4,3/41/1/14
29:V/3,1/42/0/1;V/7,3/43/0/19;E/4,1/44/0/1;E/4,7/45/0/19;E/4,3/46/1/19
32:V/3,8/43/0/19;V/2,3/47/0/28;E/4,8/45/0/19;E/4,2/48/0/28;E/4,3/49/19/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/12;E/4,1/44/0/1;E/4,6/56/0/12;E/4,3/46/1/12
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/12;V/2,3/57/0/28;E/4,5/56/0/12;E/4,2/58/0/28;E/4,3/59/12/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/19;V/2,3/47/0/28;E/4,8/45/0/19;E/4,2/48/0/28;E/4,3/49/19/28
47:V/3,1/65/0/1;V/6,3/66/0/12;E/4,1/67/0/1;E/4,6/68/0/12;E/4,3/69/1/12
50:V/3,5/66/0/12;V/2,3/51/0/28;E/4,5/68/0/12;E/4,2/53/0/28;E/4,3/70/12/28
51:V/3,1/71/0/1;V/9,3/43/0/19;E/4,1/72/0/1;E/4,9/45/0/19;E/4,3/73/1/19
52:V/3,8/43/0/19;V/2,3/47/0/28;E/4,8/45/0/19;E/4,2/48/0/28;E/4,3/49/19/28
56:V/3,1/74/0/1;V/7,3/75/0/5;E/4,1/76/0/1;E/4,7/77/0/5;E/4,3/78/1/5
59:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
61:V/3,1/82/0/1;V/2,3/83/0/20;E/4,1/84/0/1;E/4,2/85/0/20;E/4,3/86/1/20
67:V/2,3/83/0/20;E/4,2/85/0/20
68:V/3,1/87/0/1;V/2,3/88/0/20;E/4,1/89/0/1;E/4,2/90/0/20;E/4,3/91/1/20
70:V/3,1/92/0/1;V/2,3/93/0/20;E/4,1/94/0/1;E/4,2/95/0/20;E/4,3/96/1/20
71:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
77:V/3,1/97/0/1;V/2,3/83/0/20;E/4,1/98/0/1;E/4,2/85/0/20;E/4,3/99/1/20
78:V/3,1/100/0/1;V/9,3/75/0/5;E/4,1/101/0/1;E/4,9/77/0/5;E/4,3/102/1/5
79:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;401703/1000000;2,40,61,61,8,430;2,40,61,61,8,430
1;C;0,14;21417661/100000000;2,21,0,61,1,477;2,21,0,64,2,96
2;C;0,2;401703/1000000;2,40,61,61,7,460;2,40,61,61,8,430
3;C;0,14;21417661/100000000;2,21,0,61,0,479;2,21,0,64,2,96
4;C;2,3;39833863/100000000;2,39,61,61,8,230;2,39,61,59,8,470
4;C;3,4;39563343/100000000;2,39,61,59,8,470;2,39,61,57,8,702
4;L;4,5;39563343/100000000,34224949/100000000;2,39,61,57,8,702;2,34,62,47,7,649
4;C;5,6;33208377/100000000;2,33,62,47,7,449;2,33,62,45,7,633
4;L;6,7;33208377/100000000,14140389/50000000;2,33,62,45,7,633;2,28,62,30,6,784
4;C;7,8;5059567/20000000;2,25,62,30,6,184;2,25,63,16,5,725
4;C;8,14;21417661/100000000;4,2141,6230,1578,430,1147216;2,21,64,0,2,96
5;C;0,1;401703/1000000;2,40,0,20,61,158;2,40,0,21,61,117
6;C;0,4;39563343/100000000;2,39,0,15,61,133;2,39,0,15,61,133
7;C;0,1;401703/1000000;2,40,0,21,61,117;2,40,0,21,61,117
8;C;0,4;39563343/100000000;2,39,0,15,61,133;2,39,0,15,61,133
9;C;1,4;39563343/100000000;4,3956,0,2012,6066,1479144;2,39,0,15,61,133
10;C;0,14;21417661/100000000;2,21,0,15,20,3175;2,21,0,16,22,2976
11;C;0,14;21417661/100000000;2,21,0,15,19,3253;2,21,0,16,22,2976
12;L;4,5;39563343/100000000,34224949/100000000;2,39,15,0,61,133;2,34,15,0,57,77
12;C;5,6;33208377/100000000;4,3320,1446,0,5610,1364884;2,33,15,0,56,103
12;L;6,7;33208377/100000000,14140389/50000000;2,33,15,0,56,103;2,28,15,0,49,573
12;C;7,8;5059567/20000000;4,2529,1460,0,4865,1111950;2,25,15,0,43,1077
12;C;8,9;460911/2000000;2,23,15,0,43,677;2,23,15,0,36,1783
12;C;9,14;21417661/100000000;2,21,15,0,36,1383;2,21,16,0,22,2976
13;C;0,10;11258927/50000000;2,22,0,61,3,661;2,22,0,63,3,413
14;C;0,10;11258927/50000000;2,22,0,61,0,679;2,22,0,63,3,413
15;C;0,14;21417661/100000000;2,21,0,38,1,2754;2,21,0,40,2,2592
16;C;0,14;21417661/100000000;2,21,0,39,0,2679;2,21,0,40,2,2592
17;C;10,14;21417661/100000000;2,21,0,63,3,213;2,21,0,40,2,2592
18;L;0,1;401703/1000000,40618143/100000000;4,4017,0,2753,6030,39191;10,4061814300,0,2768511973,6065130969,113109889349
19;C;0,4;39563343/100000000;4,3956,0,2227,6030,1438671;10,3956334300,0,2247519595,6085858265,26753415525
20;L;0,1;401703/1000000,40618143/100000000;8,40170300,0,27602172,60300000,100882416;10,4061814300,0,2768511973,6065130969,113109889349
21;C;0,4;39563343/100000000;4,3956,0,2195,6030,1580175;10,3956334300,0,2247519595,6085858265,26753415525
22;L;1,2;40618143/100000000,40280429/100000000;10,4061814300,0,2768511973,6065130969,113109889349;8,40280429,0,26156477,60712126,24068719
22;L;2,3;40280429/100000000,39833863/100000000;8,40280429,0,26156477,60712126,24068719;8,39833863,0,23947704,60800000,73128384
22;L;3,4;39833863/100000000,39563343/100000000;8,39833863,0,23947704,60800000,73128384;10,3956334300,0,2247519595,6085858265,26753415525
23;C;0,14;21417661/100000000;2,21,0,30,20,2500;2,21,0,32,22,2208
24;C;0,14;21417661/100000000;2,21,0,28,19,2694;2,21,0,32,22,2208
25;L;4,5;39563343/100000000,34224949/100000000;10,3956334300,2247519595,0,6085858265,26753415525;10,3422494900,2350625969,0,5609120017,823642650461
25;L;5,6;34224949/100000000,33208377/100000000;10,3422494900,2350625969,0,5609120017,823642650461;10,3320837700,2371344247,0,5513323851,690209062589
25;L;6,7;33208377/100000000,14140389/50000000;10,3320837700,2371344247,0,5513323851,690209062589;2,28,26,0,49,122
25;L;7,8;14140389/50000000,5059567/20000000;2,28,26,0,49,122;2,25,27,0,43,573
25;C;8,9;460911/2000000;2,23,27,0,43,173;2,23,28,0,36,1224
25;C;9,14;21417661/100000000;2,21,28,0,36,824;2,21,32,0,22,2208
26;C;0,1;401703/1000000;2,40,61,61,9,396;2,40,61,61,9,396
27;C;0,1;401703/1000000;2,40,61,61,9,396;2,40,61,61,9,396
28;C;1,2;40280429/100000000;2,40,61,61,9,396;2,40,61,61,8,430
29;C;0,1;401703/1000000;2,40,0,61,41,917;2,40,0,61,41,917
30;C;0,10;11258927/50000000;2,22,0,61,10,479;2,22,0,63,10,231
31;C;0,1;401703/1000000;2,40,0,61,41,917;2,40,0,61,41,917
32;C;0,10;11258927/50000000;2,22,0,61,8,551;2,22,0,63,10,231
33;C;1,3;39833863/100000000;2,39,61,0,41,717;2,39,61,0,39,1037
33;C;3,5;34224949/100000000;2,34,61,0,39,37;2,34,62,0,33,778
33;C;5,6;33208377/100000000;2,33,62,0,33,578;2,33,62,0,32,708
33;L;6,7;33208377/100000000,14140389/50000000;2,33,62,0,32,708;2,28,62,0,26,404
33;L;7,8;14140389/50000000,5059567/20000000;2,28,62,0,26,404;2,25,63,0,19,309
33;C;8,9;460911/2000000;4,2304,6230,0,1837,517962;2,23,63,0,12,343
33;C;9,10;11258927/50000000;2,22,63,0,12,143;2,22,63,0,10,231
34;C;0,14;21417661/100000000;2,21,0,38,9,2594;2,21,0,40,9,2438
35;C;0,14;21417661/100000000;2,21,0,39,7,2581;2,21,0,40,9,2438
36;C;10,14;21417661/100000000;2,21,0,63,10,31;2,21,0,40,9,2438
37;C;0,1;401703/1000000;2,40,0,61,44,407;2,40,0,61,45,229
38;C;0,14;21417661/100000000;2,21,0,61,5,429;2,21,0,64,5,54
39;C;0,1;401703/1000000;2,40,0,61,44,407;2,40,0,61,45,229
40;C;0,14;21417661/100000000;2,21,0,61,3,461;2,21,0,64,5,54
41;C;1,4;39563343/100000000;2,39,61,0,45,29;2,39,61,0,42,551
41;L;4,5;39563343/100000000,34224949/100000000;2,39,61,0,42,551;2,34,62,0,38,68
41;C;5,6;33208377/100000000;4,3320,6123,0,3724,1172519;2,33,62,0,37,18
41;L;6,7;33208377/100000000,14140389/50000000;2,33,62,0,37,18;8,28280778,61800000,0,30306068,84758752
41;L;7,8;14140389/50000000,5059567/20000000;8,28280778,61800000,0,30306068,84758752;10,2529783500,6230000000,0,2427217520,221210099200
41;L;8,9;5059567/20000000,460911/2000000;10,2529783500,6230000000,0,2427217520,221210099200;8,23045550,62800000,0,18238283,66423822
41;L;9,10;460911/2000000,11258927/50000000;8,23045550,62800000,0,18238283,66423822;12,225178540000,629483487412,0,164480422841,79718128519694
41;L;10,11;11258927/50000000,21632331/100000000;12,225178540000,629483487412,0,164480422841,79718128519694;4,2163,6330,0,1221,209418
41;C;11,12;21609243/100000000;4,2160,6330,0,1221,149418;4,2160,6336,0,1160,363904
41;C;12,14;21417661/100000000;6,214176,633504,0,115966,128455672;2,21,64,0,5,54
42;C;0,1;401703/1000000;2,40,25,61,4,3622;2,40,26,61,4,3571
43;C;0,9;460911/2000000;2,23,0,61,1,877;2,23,0,63,1,629
43;C;9,14;21417661/100000000;2,21,0,63,1,229;2,21,0,64,1,102
43;C;14,16;21358851/100000000;2,21,0,64,1,102;4,2135,0,6480,86,694808
43;C;16,17;10684079/50000000;4,2136,0,6480,86,714808;4,2136,0,6530,87,63962
43;L;17,18;21474831/100000000,5419717/25000000;4,2147,0,6530,87,283962;4,2167,0,6580,88,28112
43;L;18,19;5419717/25000000,544717/2500000;4,2167,0,6580,88,28112;10,2178868000,0,6600160182,87308535,11374034426
44;C;0,1;401703/1000000;2,40,61,26,4,3571;2,40,61,26,4,3571
45;C;0,9;460911/2000000;2,23,0,61,0,879;2,23,0,63,0,631
45;C;9,14;21417661/100000000;2,21,0,63,0,231;2,21,0,64,0,104
45;C;14,16;21358851/100000000;2,21,0,64,0,104;4,2135,0,6480,0,709600
45;C;16,17;10684079/50000000;4,2136,0,6480,0,729600;4,2136,0,6530,0,79100
45;L;17,18;21474831/100000000,5419717/25000000;4,2147,0,6530,0,299100;4,2167,0,6580,49,38798
45;L;18,19;5419717/25000000,544717/2500000;4,2167,0,6580,49,38798;10,2178868000,0,6600160182,87308535,11374034426
46;C;1,10;11258927/50000000;4,2251,6066,2514,355,1651398;2,22,63,3,3,404
46;C;10,14;21417661/100000000;2,21,63,3,3,204;2,21,64,0,2,96
46;C;14,16;21358851/100000000;2,21,64,0,2,96;4,2135,6480,0,148,665792
46;C;16,17;10684079/50000000;4,2136,6480,0,148,685792;4,2136,6530,0,123,48842
46;L;17,18;21474831/100000000,5419717/25000000;4,2147,6530,0,123,268842;4,2167,6580,0,98,24392
46;L;18,19;5419717/25000000,544717/2500000;4,2167,6580,0,98,24392;10,2178868000,6600160182,0,87308535,11374034426
47;C;0,28;8924261/100000000;2,8,0,37,0,231;8,8924261,0,42247511,0,14304879
48;C;0,14;21417661/100000000;2,21,0,49,0,1799;2,21,0,46,0,2084
48;C;14,21;5121013/25000000;2,20,0,46,0,1884;2,20,0,45,0,1975
48;C;21,24;7270311/50000000;2,14,0,45,0,775;2,14,0,44,0,864
48;C;24,26;11145317/100000000;2,11,0,44,0,264;2,11,0,43,0,351
48;C;26,27;9616709/100000000;4,961,0,4273,0,961471;4,961,0,4241,0,1233919
48;L;27,28;9616709/100000000,8924261/100000000;4,961,0,4241,0,1233919;8,8924261,0,42247511,0,14304879
49;L;19,20;544717/2500000,2138551/10000000;10,2178868000,0,6600160182,87308535,11374034426;8,21385510,0,65389083,827584,33864999
49;L;20,21;2138551/10000000,5121013/25000000;8,21385510,0,65389083,827584,33864999;10,2048405200,0,6399813505,72425399,224378996573
49;L;21,22;5121013/25000000,1838897/10000000;10,2048405200,0,6399813505,72425399,224378996573;10,1838897000,0,6064109931,47487017,711180058661
49;L;22,23;1838897/10000000,16407829/100000000;10,1838897000,0,6064109931,47487017,711180058661;8,16407829,0,57284064,225487,122869566
49;L;23,24;16407829/100000000,7270311/50000000;8,16407829,0,57284064,225487,122869566;8,14540622,0,53927028,0,51087216
49;L;24,25;7270311/50000000,12786621/100000000;8,14540622,0,53927028,0,51087216;8,12786621,0,50569993,0,7979951
49;L;25,26;12786621/100000000,11145317/100000000;8,12786621,0,50569993,0,7979951;8,11145317,0,47212957,0,91316151
49;L;26,27;11145317/100000000,9616709/100000000;8,11145317,0,47212957,0,91316151;10,961670900,0,4385592064,0,248180219904
49;L;27,28;9616709/100000000,8924261/100000000;10,961670900,0,4385592064,0,248180219904;8,8924261,0,42247511,0,14304879
50;C;0,1;401703/1000000;2,40,0,11,45,3829;2,40,0,11,46,3647
51;C;0,28;8924261/100000000;2,8,0,11,6,1407;2,8,0,13,7,1333
52;C;0,1;401703/1000000;2,40,0,11,45,3829;2,40,0,11,46,3647
53;C;0,28;8924261/100000000;2,8,0,11,2,1471;2,8,0,13,7,1333
54;C;1,14;21417661/100000000;4,2141,1075,0,4506,1056303;2,21,12,0,31,2134
54;C;14,21;5121013/25000000;2,20,12,0,31,1934;2,20,12,0,21,2974
54;C;21,28;8924261/100000000;2,8,12,0,21,574;2,8,13,0,7,1333
55;C;0,12;21609243/100000000;2,21,0,61,3,461;2,21,0,64,3,86
56;C;0,12;21609243/100000000;2,21,0,61,0,479;2,21,0,64,3,86
57;C;0,28;8924261/100000000;2,8,0,11,0,1479;2,8,0,13,0,1431
58;C;0,28;8924261/100000000;2,8,0,11,0,1479;2,8,0,13,0,1431
59;C;12,20;21358851/100000000;2,21,0,64,3,86;2,21,0,41,1,2517
59;C;20,28;8924261/100000000;4,892,0,4074,83,1228746;2,8,0,13,0,1431
60;C;0,1;401703/1000000;2,40,0,19,45,3589;2,40,0,19,46,3407
61;C;0,28;8924261/100000000;2,8,0,24,6,952;2,8,0,28,7,718
62;C;0,1;401703/1000000;2,40,0,19,45,3589;2,40,0,19,46,3407
63;C;0,28;8924261/100000000;2,8,0,19,2,1231;2,8,0,28,7,718
64;C;1,7;14140389/50000000;2,28,19,0,46,1007;2,28,20,0,41,1838
64;C;7,14;21417661/100000000;2,21,20,0,41,438;2,21,22,0,31,1794
64;C;14,21;5121013/25000000;2,20,22,0,31,1594;2,20,25,0,21,2493
64;C;21,28;8924261/100000000;2,8,25,0,21,93;2,8,28,0,7,718
65;C;0,1;401703/1000000;2,40,0,61,20,3479;2,40,0,61,21,3397
66;C;0,12;21609243/100000000;2,21,0,61,7,381;4,2160,0,6336,731,1986382
67;C;0,1;401703/1000000;2,40,0,61,21,3397;2,40,0,61,21,3397
68;C;0,12;21609243/100000000;2,21,0,61,6,407;4,2160,0,6336,731,1986382
69;C;1,6;33208377/100000000;2,33,61,0,21,1997;2,33,62,0,18,2108
69;C;6,9;460911/2000000;2,23,62,0,18,108;2,23,63,0,10,431
69;C;9,12;21609243/100000000;2,21,63,0,10,31;4,2160,6336,0,731,1986382
70;C;12,20;21358851/100000000;4,2135,0,6336,731,1486382;2,21,0,41,7,2421
70;C;20,28;8924261/100000000;4,892,0,4074,700,262524;2,8,0,13,7,1333
71;C;0,1;401703/1000000;2,40,0,61,25,3029;2,40,0,61,25,3029
72;C;0,1;401703/1000000;2,40,0,61,24,3127;2,40,0,61,25,3029
73;C;1,5;34224949/100000000;2,34,61,0,25,1829;2,34,62,0,22,1988
73;C;5,7;14140389/50000000;2,28,62,0,22,788;2,28,62,0,20,956
73;C;7,8;5059567/20000000;2,25,62,0,20,356;2,25,63,0,17,453
73;C;8,10;11258927/50000000;4,2251,6230,0,1700,427100;4,2251,6295,0,1418,1371527
73;L;10,11;11258927/50000000,21632331/100000000;4,2251,6295,0,1418,1371527;10,2163233100,6330000000,0,1264073166,61997472888
73;L;11,12;21632331/100000000,21609243/100000000;10,2163233100,6330000000,0,1264073166,61997472888;10,2160924300,6335036721,0,1242134204,982088140927
73;L;12,13;21609243/100000000,21446909/100000000;10,2160924300,6335036721,0,1242134204,982088140927;8,21446909,63800000,0,10462830,176782200
73;L;13,14;21446909/100000000,21417661/100000000;8,21446909,63800000,0,10462830,176782200;10,2141766100,6391663121,0,995480739,744208567117
73;L;14,15;21417661/100000000,21358851/100000000;10,2141766100,6391663121,0,995480739,744208567117;8,21358851,64300000,0,8284929,102929918
73;L;15,16;21358851/100000000,10684079/50000000;8,21358851,64300000,0,8284929,102929918;8,21368158,64800000,0,6107027,42442542
73;L;16,17;10684079/50000000,21474831/100000000;8,21368158,64800000,0,6107027,42442542;8,21474831,65300000,0,3929125,153468750
73;L;17,18;21474831/100000000,5419717/25000000;8,21474831,65300000,0,3929125,153468750;8,21678868,65800000,0,1751224,29003648
73;L;18,19;5419717/25000000,544717/2500000;8,21678868,65800000,0,1751224,29003648;10,2178868000,6600160182,0,87308535,11374034426
74;C;0,1;401703/1000000;2,40,0,61,2,4271;2,40,0,61,2,4271
75;C;0,5;34224949/100000000;2,34,0,61,1,3077;2,34,0,62,1,2954
76;C;0,1;401703/1000000;2,40,0,61,1,4277;2,40,0,61,2,4271
77;C;0,5;34224949/100000000;2,34,0,61,0,3079;2,34,0,62,1,2954
78;C;1,5;34224949/100000000;2,34,61,0,2,3071;2,34,62,0,1,2954
79;C;0,20;21358851/100000000;2,21,0,30,0,3300;2,21,0,33,0,3111
80;C;0,20;21358851/100000000;2,21,0,37,0,2831;2,21,0,33,0,3111
81;C;5,20;21358851/100000000;2,21,0,62,1,354;2,21,0,33,0,3111
82;C;0,1;401703/1000000;2,40,0,9,25,6669;2,40,0,9,25,6669
83;C;0,20;21358851/100000000;2,21,0,9,5,4069;2,21,0,10,5,4050
84;C;0,1;401703/1000000;2,40,0,9,25,6669;2,40,0,9,25,6669
85;C;0,20;21358851/100000000;2,21,0,9,2,4111;2,21,0,10,5,4050
86;C;1,20;21358851/100000000;2,21,9,0,25,2869;2,21,10,0,5,4050
87;C;0,1;401703/1000000;2,40,0,48,2,5688;2,40,0,48,2,5688
88;C;0,20;21358851/100000000;2,21,0,9,0,4119;2,21,0,10,0,4100
89;C;0,1;401703/1000000;2,40,0,48,1,5694;2,40,0,48,2,5688
90;C;0,20;21358851/100000000;2,21,0,9,0,4119;2,21,0,10,0,4100
91;C;1,20;21358851/100000000;2,21,0,48,2,1888;2,21,0,10,0,4100
92;C;0,1;401703/1000000;2,40,0,18,25,6426;2,40,0,18,25,6426
93;C;0,20;21358851/100000000;2,21,0,19,5,3789;2,21,0,21,5,3709
94;C;0,1;401703/1000000;2,40,0,17,25,6461;2,40,0,18,25,6426
95;C;0,20;21358851/100000000;2,21,0,15,2,3967;2,21,0,21,5,3709
96;C;1,20;21358851/100000000;2,21,18,0,25,2626;2,21,21,0,5,3709
97;C;0,1;401703/1000000;2,40,0,48,6,5624;2,40,0,48,6,5624
98;C;0,1;401703/1000000;2,40,0,48,6,5624;2,40,0,48,6,5624
99;C;1,20;21358851/100000000;2,21,0,48,6,1824;2,21,0,10,5,4050
100;C;0,1;401703/1000000;2,40,0,61,4,4247;2,40,0,61,4,4247
101;C;0,1;401703/1000000;2,40,0,61,3,4261;2,40,0,61,4,4247
102;C;1,5;34224949/100000000;2,34,61,0,4,3047;2,34,62,0,1,2954
MASS SLACK NUMERATOR 89707858238863796285168909877016075017791779247030385008005346600883876096947489716126182497462591

BIN 16: PPC; (4/3,51/38]; gamma0=151/250; mass ceiling=12410929/12500000.
GAMMA 0=151/250;1=275193450000/453436749539;2=440107171875/724561292479;3=259005600000/425383205489;4=609/1000;5=3501971550000/5725687381907;6=307/500;7=619/1000;8=3266348400000/5272344844007;9=2377815300000/3815598423857;10=78/125;11=629/1000;12=317/500;13=639/1000;14=138496050000/216540155339;15=161/250;16=649/1000;17=327/500;18=2613438450000/3966524944007;19=659/1000;20=111965962500/169382359057;21=83/125;22=669/1000;23=337/500;24=679/1000;25=171/250;26=689/1000;27=347/500;28=172670400000/248390649539;29=699/1000;30=88/125;31=709/1000;32=357/500;33=719/1000;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38939387,39298431;1,2,39298431,39044254;2,3,39044254,38430869;3,4,38430869,38209449;4,5,38209449,33693209;5,6,33693209,29882982;6,7,29882982,25151825;7,8,25151825,24829287;8,9,24829287,22882957;9,10,22882957,22520287;10,11,22520287,20875083;11,12,20875083,20551912;12,13,20551912,20598333;13,14,20598333,20611921;14,15,20611921,20769205;15,16,20769205,21060050;16,17,21060050,21385800;17,18,21385800,21705720;18,19,21705720,21642002;19,20,21642002,20634247;20,21,20634247,19197215;21,22,19197215,16898914;22,23,16898914,14747098;23,24,14747098,12741767;24,25,12741767,10882922;25,26,10882922,9170562;26,27,9170562,7604687;27,28,7604687,7263330;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;263490290303/70147350000,5/13,23865092081/10791900000;-33357300755003
1;0,6,7;8/13,1,7;-2
3;0,3,7;177/494,3,1;-2
4;2,3,7;1071/494,49/26,77/114;-791
5;2,3,8;959/494,56/39,77/114;-21
8;1,3,6;99/494,75/26,51/38;-99
9;1,4,10;213617323103/46764900000,31/26,23865092081/10791900000;-25937869505003
10;0,10;4/13,1;-1
12;0,2,10;5/6,1,1;-1
13;2,3,10;45/19,1/3,77/114;-1
17;2,3,8;959/494,56/39,77/114;-21
19;0,3,13;173/247,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;15/13,79/13,311/26;-5
25;2,3,8;959/494,56/39,77/114;-21
26;1,3,12;97/247,40/13,51/38;-97
27;0,1,7;8/13,2,1;-1
28;0,6,7;21/13,1,7;-2
30;0,3,7;177/494,3,1;-2
31;2,3,7;1565/494,49/26,16/19;-99
33;1,4,7;109516857053/28058940000,93/26,23865092081/10791900000;-5028563255003
35;1,3,6;99/494,75/26,51/38;-99
36;1,4,10;292259697053/46764900000,5/26,23865092081/10791900000;-43474707005003
37;0,10;4/13,1;-1
39;0,2,10;1,1,1;-1
42;1,4,10;109516857053/28058940000,93/26,23865092081/10791900000;-5028563255003
45;1,4,13;274273197053/46764900000,5/13,23865092081/10791900000;-33357300755003
46;0,3,13;173/247,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;15/13,66/13,259/26;-5
53;1,3,12;97/247,40/13,51/38;-97
54;0,1,7;21/13,2,1;-1
55;0,6,7;34/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;2059/494,31/13,83/76;-99
60;0,1,12;1/2,3,1;-1
62;1,3,6;99/494,75/26,51/38;-99
63;0,1,10;21/26,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;127963933189/17536837500,9/13,23865092081/10791900000;-22565400755003
66;0,1,12;1/2,3,1;-1
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;173/247,2,1;-1
74;1,4,6;127963933189/17536837500,9/13,23865092081/10791900000;-22565400755003
75;0,7,13;49/13,1,6;-2
76;1,12,13;15/13,53/13,207/26;-5
80;1,3,12;97/247,40/13,51/38;-97
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;257103726639136,158122260859596471900000,11558694262866,72694
6;1,4,12,3;658826639222,1594803944059823700000,518535971161,19
7;11,4,2,3;518535971161,11043394050642036300000,11558694262866,1273
11;8,4,6,3;257103726639136,256831035332112899043750,713640056906127,313937
14;5,4,2,3;713640056906127,14483196618205588481250,11558694262866,18297
15;1,4,12,3;658826639222,1594803944059823700000,518535971161,19
16;11,4,2,3;518535971161,11043394050642036300000,11558694262866,1273
18;1,4,13,3;658826639222,6174313071527708100000,257103726639136,266
20;1,4,6,3;658826639222,32093727378567695268750,713640056906127,12673
23;5,4,2,3;713640056906127,14483196618205588481250,11558694262866,18297
24;1,4,2,3;658826639222,19410850935000000000000,11558694262866,2888
29;1,4,7,3;658826639222,83111494332333249720000,4244318984485554,20368
32;8,4,2,3;4244318984485554,14695901358944750280000,5660611919611,3895
34;1,4,2,3;658826639222,14558138201250000000000,5660611919611,361
38;1,4,6,3;658826639222,33747011206145781075000,798058113642777,3287
41;5,4,2,3;798058113642777,98353534831996718925000,5660611919611,1349
43;1,4,2,3;658826639222,14558138201250000000000,5660611919611,361
44;8,4,2,3;4244318984485554,14695901358944750280000,5660611919611,3895
47;1,4,6,3;658826639222,33747011206145781075000,798058113642777,3287
50;5,4,2,3;798058113642777,98353534831996718925000,5660611919611,1349
51;1,4,9,3;658826639222,83111494332333249720000,4244318984485554,20368
52;8,4,2,3;4244318984485554,14695901358944750280000,5660611919611,3895
56;1,4,7,3;658826639222,7409175685833249720000,283766413633118,532
59;8,4,2,3;283766413633118,18038102202500579640000,9659017629572,8322
61;1,4,2,3;658826639222,3639534550312500000000,9659017629572,722
68;1,4,2,3;658826639222,3639534550312500000000,9659017629572,722
70;1,4,2,3;658826639222,3639534550312500000000,9659017629572,722
71;8,4,2,3;283766413633118,18038102202500579640000,9659017629572,8322
77;1,4,2,3;658826639222,3639534550312500000000,9659017629572,722
78;1,4,9,3;658826639222,7409175685833249720000,283766413633118,532
79;8,4,2,3;283766413633118,18038102202500579640000,9659017629572,8322
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/14;E/4,5/2/0/2;E/4,2/3/0/14;E/4,3/4/2/14
6:V/3,1/5/0/1;V/12,3/6/0/3;E/4,1/7/0/1;E/4,12/8/0/3;E/4,3/9/1/3
7:V/3,11/6/0/3;V/2,3/10/0/14;E/4,11/8/0/3;E/4,2/11/0/14;E/4,3/12/3/14
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/14;E/4,5/14/0/9;E/4,2/16/0/14;E/4,3/17/9/14
15:V/3,1/18/0/1;V/12,3/19/0/3;E/4,1/20/0/1;E/4,12/21/0/3;E/4,3/22/1/3
16:V/3,11/19/0/3;V/2,3/23/0/14;E/4,11/21/0/3;E/4,2/24/0/14;E/4,3/25/3/14
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/14;E/4,5/32/0/9;E/4,2/35/0/14;E/4,3/36/9/14
24:V/3,1/37/0/1;V/2,3/38/0/14;E/4,1/39/0/1;E/4,2/40/0/14;E/4,3/41/1/14
29:V/3,1/42/0/1;V/7,3/43/0/18;E/4,1/44/0/1;E/4,7/45/0/18;E/4,3/46/1/18
32:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/8;E/4,1/44/0/1;E/4,6/56/0/8;E/4,3/46/1/8
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/8;V/2,3/57/0/28;E/4,5/56/0/8;E/4,2/58/0/28;E/4,3/59/8/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
47:V/3,1/65/0/1;V/6,3/66/0/8;E/4,1/67/0/1;E/4,6/68/0/8;E/4,3/69/1/8
50:V/3,5/66/0/8;V/2,3/51/0/28;E/4,5/68/0/8;E/4,2/53/0/28;E/4,3/70/8/28
51:V/3,1/71/0/1;V/9,3/43/0/18;E/4,1/72/0/1;E/4,9/45/0/18;E/4,3/73/1/18
52:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
56:V/3,1/74/0/1;V/7,3/75/0/5;E/4,1/76/0/1;E/4,7/77/0/5;E/4,3/78/1/5
59:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
61:V/3,1/82/0/1;V/2,3/83/0/20;E/4,1/84/0/1;E/4,2/85/0/20;E/4,3/86/1/20
67:V/2,3/83/0/20;E/4,2/85/0/20
68:V/3,1/87/0/1;V/2,3/88/0/20;E/4,1/89/0/1;E/4,2/90/0/20;E/4,3/91/1/20
70:V/3,1/92/0/1;V/2,3/93/0/20;E/4,1/94/0/1;E/4,2/95/0/20;E/4,3/96/1/20
71:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
77:V/3,1/97/0/1;V/2,3/83/0/20;E/4,1/98/0/1;E/4,2/85/0/20;E/4,3/99/1/20
78:V/3,1/100/0/1;V/9,3/75/0/5;E/4,1/101/0/1;E/4,9/77/0/5;E/4,3/102/1/5
79:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;38939387/100000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,14;2568989/12500000;2,20,0,61,0,279;4,2055,0,6396,0,191184
2;C;0,2;38939387/100000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,14;2568989/12500000;2,20,0,61,0,279;4,2055,0,6396,0,191184
4;C;2,3;38430869/100000000;2,38,61,61,0,158;2,38,61,56,0,743
4;C;3,4;38209449/100000000;2,38,61,56,0,743;2,38,61,56,0,743
4;L;4,5;38209449/100000000,33693209/100000000;2,38,61,56,0,743;2,33,62,47,0,547
4;C;5,6;14941491/50000000;4,2988,6117,4694,0,308675;2,29,62,40,0,356
4;L;6,7;14941491/50000000,1006073/4000000;2,29,62,40,0,356;2,25,62,23,0,627
4;C;7,8;24829287/100000000;2,24,62,23,0,427;2,24,62,22,0,472
4;C;8,9;22882957/100000000;2,22,62,22,0,72;2,22,63,10,0,331
4;C;9,11;20875083/100000000;4,2087,6232,907,0,2079527;2,20,63,0,0,31
4;C;11,14;2568989/12500000;2,20,63,0,0,31;4,2055,6396,0,0,191184
5;C;0,1;38939387/100000000;2,38,1,1,61,156;2,38,1,1,61,156
6;C;0,3;38430869/100000000;2,38,0,0,61,158;2,38,0,0,61,158
7;C;0,1;38939387/100000000;2,38,0,1,61,157;2,38,1,1,61,156
8;C;0,3;38430869/100000000;2,38,0,0,61,158;2,38,0,0,61,158
9;C;1,3;38430869/100000000;2,38,1,1,61,156;2,38,0,0,61,158
10;C;0,14;2568989/12500000;2,20,0,0,14,3608;2,20,0,0,15,3550
11;C;0,14;2568989/12500000;2,20,0,0,13,3662;2,20,0,0,15,3550
12;C;3,4;38209449/100000000;2,38,0,0,61,158;2,38,0,0,61,158
12;L;4,5;38209449/100000000,33693209/100000000;2,38,0,0,61,158;2,33,0,0,57,102
12;L;5,6;33693209/100000000,14941491/50000000;2,33,0,0,57,102;4,2988,0,0,5315,3261550
12;L;6,7;14941491/50000000,1006073/4000000;4,2988,0,0,5315,3261550;2,25,0,0,46,768
12;C;7,8;24829287/100000000;2,24,0,0,46,568;2,24,0,0,45,750
12;C;8,14;2568989/12500000;4,2055,0,0,4480,959200;2,20,0,0,15,3550
13;C;0,9;22882957/100000000;2,22,9,61,0,598;2,22,10,63,0,331
14;C;0,9;22882957/100000000;2,22,8,61,0,615;2,22,10,63,0,331
15;C;0,14;2568989/12500000;2,20,9,10,0,3819;2,20,10,11,0,3779
16;C;0,14;2568989/12500000;2,20,7,9,0,3870;2,20,11,10,0,3779
17;C;9,14;2568989/12500000;4,2055,907,6232,0,1439527;2,20,11,10,0,3779
18;L;0,1;38939387/100000000,39298431/100000000;4,3893,0,2210,6040,12700;10,3929843100,0,2220337917,6069059253,1101482265093
19;C;0,3;38430869/100000000;4,3843,0,1635,6040,1223575;10,3843086900,0,1647954830,6088759422,280292122932
20;L;0,1;38939387/100000000,39298431/100000000;8,38939387,0,22171092,60400000,79527536;10,3929843100,0,2220337917,6069059253,1101482265093
21;C;0,3;38430869/100000000;4,3843,0,1603,6040,1327191;10,3843086900,0,1647954830,6088759422,280292122932
22;L;1,2;39298431/100000000,19522127/50000000;10,3929843100,0,2220337917,6069059253,1101482265093;8,39044254,0,20733201,60741193,122167101
22;L;2,3;19522127/50000000,38430869/100000000;8,39044254,0,20733201,60741193,122167101;10,3843086900,0,1647954830,6088759422,280292122932
23;C;0,14;2568989/12500000;2,20,0,25,14,2983;2,20,0,27,15,2821
24;C;0,14;2568989/12500000;2,20,0,23,13,3133;2,20,0,27,15,2821
25;L;3,4;38430869/100000000,38209449/100000000;10,3843086900,1647954830,0,6088759422,280292122932;8,38209449,16518775,0,60700164,53245583
25;L;4,5;38209449/100000000,33693209/100000000;8,38209449,16518775,0,60700164,53245583;8,33693209,17348661,0,56734759,3930917
25;L;5,6;33693209/100000000,14941491/50000000;8,33693209,17348661,0,56734759,3930917;10,2988298200,1809971924,0,5314600868,862039031376
25;L;6,7;14941491/50000000,1006073/4000000;10,2988298200,1809971924,0,5314600868,862039031376;2,25,20,0,46,368
25;C;7,8;24829287/100000000;2,24,20,0,46,168;2,24,20,0,45,350
25;C;8,9;22882957/100000000;4,2288,1985,0,4480,1678975;2,22,22,0,40,716
25;C;9,11;20875083/100000000;2,20,22,0,40,316;2,20,23,0,31,1549
25;C;11,14;2568989/12500000;2,20,23,0,31,1549;2,20,27,0,15,2821
26;C;0,1;38939387/100000000;2,38,61,61,1,156;2,38,61,61,1,156
27;C;0,1;38939387/100000000;2,38,61,61,1,156;2,38,61,61,1,156
28;C;1,2;19522127/50000000;2,39,61,61,1,356;2,39,61,61,0,358
29;C;0,1;38939387/100000000;2,38,1,61,31,1956;2,38,1,61,31,1956
30;C;0,9;22882957/100000000;2,22,0,61,2,671;2,22,0,63,3,413
31;C;0,1;38939387/100000000;2,38,0,61,31,1957;2,38,1,61,31,1956
32;C;0,9;22882957/100000000;2,22,0,61,1,677;2,22,0,63,3,413
33;C;1,5;33693209/100000000;2,33,61,1,31,956;2,33,62,0,23,1698
33;C;5,7;1006073/4000000;2,25,62,0,23,98;2,25,62,0,10,956
33;C;7,9;22882957/100000000;2,22,62,0,10,356;2,22,63,0,3,413
34;C;0,14;2568989/12500000;2,20,0,9,1,3917;2,20,0,10,1,3898
35;C;0,14;2568989/12500000;2,20,0,9,0,3919;2,20,0,10,1,3898
36;C;9,14;2568989/12500000;2,20,0,63,3,13;2,20,0,10,1,3898
37;C;0,1;38939387/100000000;2,38,0,61,42,351;2,38,0,61,42,351
38;C;0,14;2568989/12500000;2,20,0,61,0,279;4,2055,0,6396,0,191184
39;C;0,1;38939387/100000000;2,38,0,61,42,351;2,38,0,61,42,351
40;C;0,14;2568989/12500000;2,20,0,61,0,279;4,2055,0,6396,0,191184
41;C;1,4;38209449/100000000;2,38,61,0,42,351;2,38,61,0,39,837
41;C;4,5;33693209/100000000;4,3369,6090,0,3851,631498;2,33,62,0,35,306
41;L;5,6;33693209/100000000,14941491/50000000;2,33,62,0,35,306;4,2988,6140,0,3150,2215400
41;L;6,7;14941491/50000000,1006073/4000000;4,2988,6140,0,3150,2215400;8,25151825,61900000,0,24482186,137322808
41;L;7,8;1006073/4000000,24829287/100000000;8,25151825,61900000,0,24482186,137322808;10,2482928700,6195248029,0,2374602579,1042784712677
41;L;8,9;24829287/100000000,22882957/100000000;10,2482928700,6195248029,0,2374602579,1042784712677;8,22882957,62318280,0,18614824,32739648
41;L;9,10;22882957/100000000,22520287/100000000;8,22882957,62318280,0,18614824,32739648;8,22520287,62400000,0,17468504,136003968
41;L;10,11;22520287/100000000,20875083/100000000;8,22520287,62400000,0,17468504,136003968;10,2087508300,6290000000,0,1045482103,344613394782
41;L;11,12;20875083/100000000,2568989/12500000;10,2087508300,6290000000,0,1045482103,344613394782;4,2055,6340,0,345,666350
41;C;12,14;2568989/12500000;4,2055,6340,0,345,666350;4,2055,6396,0,0,191184
42;C;0,1;38939387/100000000;2,38,21,61,0,3438;2,38,22,61,0,3395
43;C;0,9;22882957/100000000;2,22,0,61,0,679;2,22,0,63,0,431
43;C;9,13;2568989/12500000;2,20,0,63,0,31;4,2055,0,6390,0,267900
43;C;13,14;20598333/100000000;4,2059,0,6390,0,347900;4,2059,0,6396,0,271184
43;L;14,15;20611921/100000000,4153841/20000000;4,2061,0,6396,0,311184;4,2076,0,6440,0,46400
43;L;15,16;4153841/20000000,421201/2000000;4,2076,0,6440,0,46400;8,21060050,0,64900000,0,0
43;L;16,17;421201/2000000,106929/500000;8,21060050,0,64900000,0,0;6,213858,0,654000,0,0
43;L;17,18;106929/500000,542643/2500000;6,213858,0,654000,0,0;8,21705720,0,65887357,0,187554551
44;C;0,1;38939387/100000000;2,38,61,21,0,3438;2,38,61,22,0,3395
45;C;0,9;22882957/100000000;2,22,0,61,0,679;2,22,0,63,0,431
45;C;9,13;2568989/12500000;2,20,0,63,0,31;4,2055,0,6390,0,267900
45;C;13,14;20598333/100000000;4,2059,0,6390,0,347900;4,2059,0,6396,0,271184
45;L;14,15;20611921/100000000,4153841/20000000;4,2061,0,6396,0,311184;4,2076,0,6440,0,46400
45;L;15,16;4153841/20000000,421201/2000000;4,2076,0,6440,0,46400;8,21060050,0,64900000,0,0
45;L;16,17;421201/2000000,106929/500000;8,21060050,0,64900000,0,0;6,213858,0,654000,0,0
45;L;17,18;106929/500000,542643/2500000;6,213858,0,654000,0,0;8,21705720,0,65887357,0,187554551
46;C;1,9;22882957/100000000;2,22,61,22,0,195;2,22,63,3,0,422
46;C;9,13;2568989/12500000;2,20,63,3,0,22;4,2055,6390,0,0,267900
46;C;13,14;20598333/100000000;4,2059,6390,0,0,347900;4,2059,6396,0,0,271184
46;L;14,15;20611921/100000000,4153841/20000000;4,2061,6396,0,0,311184;4,2076,6440,0,0,46400
46;L;15,16;4153841/20000000,421201/2000000;4,2076,6440,0,0,46400;8,21060050,64900000,0,0,0
46;L;16,17;421201/2000000,106929/500000;8,21060050,64900000,0,0,0;6,213858,654000,0,0,0
46;L;17,18;106929/500000,542643/2500000;6,213858,654000,0,0,0;8,21705720,65887357,0,0,187554551
47;C;0,28;726333/10000000;2,7,0,34,0,244;8,7263330,0,38113855,0,57038975
48;C;0,14;2568989/12500000;2,20,0,46,0,1884;2,20,0,43,0,2151
48;C;14,21;3839443/20000000;2,19,0,43,0,1951;2,19,0,41,0,2119
48;C;21,24;12741767/100000000;2,12,0,41,0,719;2,12,0,40,0,800
48;C;24,26;4585281/50000000;2,9,0,40,0,200;2,9,0,39,0,279
48;C;26,27;7604687/100000000;4,760,0,3863,0,277231;4,760,0,3822,0,592316
48;L;27,28;7604687/100000000,726333/10000000;4,760,0,3822,0,592316;8,7263330,0,38113855,0,57038975
49;L;18,19;542643/2500000,10821001/50000000;8,21705720,0,65887357,0,187554551;8,21642002,0,65790579,0,114844759
49;L;19,20;10821001/50000000,20634247/100000000;8,21642002,0,65790579,0,114844759;8,20634247,0,64240558,0,107848636
49;L;20,21;20634247/100000000,3839443/20000000;8,20634247,0,64240558,0,107848636;8,19197215,0,61963239,0,12628879
49;L;21,22;3839443/20000000,8449457/50000000;8,19197215,0,61963239,0,12628879;8,16898914,0,58135899,0,47461799
49;L;22,23;8449457/50000000,7373549/50000000;8,16898914,0,58135899,0,47461799;8,14747098,0,54308558,0,127960636
49;L;23,24;7373549/50000000,12741767/100000000;8,14747098,0,54308558,0,127960636;8,12741767,0,50481218,0,29236476
49;L;24,25;12741767/100000000,5441461/50000000;8,12741767,0,50481218,0,29236476;8,10882922,0,46653878,0,67561116
49;L;25,26;5441461/50000000,4585281/50000000;8,10882922,0,46653878,0,67561116;8,9170562,0,42826538,0,42934556
49;L;26,27;4585281/50000000,7604687/100000000;8,9170562,0,42826538,0,42934556;8,7604687,0,38999197,0,33355191
49;L;27,28;7604687/100000000,726333/10000000;8,7604687,0,38999197,0,33355191;8,7263330,0,38113855,0,57038975
50;C;0,1;38939387/100000000;2,38,0,0,44,3728;2,38,0,0,44,3728
51;C;0,28;726333/10000000;2,7,0,0,0,1400;2,7,0,0,0,1400
52;C;0,1;38939387/100000000;2,38,0,0,44,3728;2,38,0,0,44,3728
53;C;0,28;726333/10000000;2,7,0,0,0,1400;2,7,0,0,0,1400
54;C;1,14;2568989/12500000;2,20,0,0,44,128;2,20,0,0,28,2432
54;C;14,21;3839443/20000000;2,19,0,0,28,2232;2,19,0,0,16,3288
54;C;21,28;726333/10000000;2,7,0,0,16,888;2,7,0,0,0,1400
55;C;0,8;24829287/100000000;2,24,7,61,0,1030;2,24,7,62,0,907
56;C;0,8;24829287/100000000;2,24,6,61,0,1043;2,24,7,62,0,907
57;C;0,28;726333/10000000;2,7,0,8,0,1336;2,7,0,9,0,1319
58;C;0,28;726333/10000000;2,7,0,0,0,1400;2,7,9,0,0,1319
59;C;8,18;2568989/12500000;2,20,7,62,0,107;2,20,8,21,0,3495
59;C;18,28;726333/10000000;2,7,8,21,0,895;2,7,9,0,0,1319
60;C;0,1;38939387/100000000;2,38,0,15,44,3503;2,38,0,15,44,3503
61;C;0,28;726333/10000000;2,7,0,20,0,1000;2,7,0,23,0,871
62;C;0,1;38939387/100000000;2,38,0,15,44,3503;2,38,0,15,44,3503
63;C;0,28;726333/10000000;2,7,0,14,0,1204;2,7,0,23,0,871
64;C;1,14;2568989/12500000;4,2055,1446,0,4324,1615132;2,20,18,0,28,2108
64;C;14,21;3839443/20000000;2,19,18,0,28,1908;2,19,20,0,16,2888
64;C;21,28;726333/10000000;2,7,20,0,16,488;2,7,23,0,0,871
65;C;0,1;38939387/100000000;2,38,0,61,10,3679;2,38,0,61,10,3679
66;C;0,8;24829287/100000000;2,24,0,61,2,1071;2,24,0,62,2,948
67;C;0,1;38939387/100000000;2,38,0,61,10,3679;2,38,0,61,10,3679
68;C;0,8;24829287/100000000;2,24,0,61,1,1077;2,24,0,62,2,948
69;C;1,8;24829287/100000000;2,24,61,0,10,879;2,24,62,0,2,948
70;C;8,18;2568989/12500000;2,20,0,62,2,148;2,20,0,21,1,3557
70;C;18,28;726333/10000000;2,7,0,21,1,957;2,7,0,0,0,1400
71;C;0,1;38939387/100000000;2,38,0,61,21,2997;2,38,0,61,21,2997
72;C;0,1;38939387/100000000;2,38,0,61,20,3079;2,38,0,61,21,2997
73;C;1,9;22882957/100000000;4,2288,6070,0,2012,818812;2,22,63,0,13,93
73;C;9,10;22520287/100000000;2,22,63,0,13,93;2,22,63,0,12,143
73;C;10,11;20875083/100000000;4,2087,6240,0,1168,73952;4,2087,6290,0,921,479418
73;L;11,12;20875083/100000000,2568989/12500000;4,2087,6290,0,921,479418;8,20551912,63400000,0,6738777,169088542
73;L;12,13;2568989/12500000,20598333/100000000;8,20551912,63400000,0,6738777,169088542;8,20598333,63900000,0,4269452,159239392
73;L;13,14;20598333/100000000,20611921/100000000;8,20598333,63900000,0,4269452,159239392;8,20611921,63958600,0,3980052,58194592
73;L;14,15;20611921/100000000,4153841/20000000;8,20611921,63958600,0,3980052,58194592;8,20769205,64400000,0,1800128,78367232
73;L;15,16;4153841/20000000,421201/2000000;8,20769205,64400000,0,1800128,78367232;8,21060050,64900000,0,0,0
73;L;16,17;421201/2000000,106929/500000;8,21060050,64900000,0,0,0;6,213858,654000,0,0,0
73;L;17,18;106929/500000,542643/2500000;6,213858,654000,0,0,0;8,21705720,65887357,0,0,187554551
74;C;0,1;38939387/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,5;33693209/100000000;2,33,0,61,0,2879;2,33,0,62,0,2756
76;C;0,1;38939387/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,5;33693209/100000000;2,33,0,61,0,2879;2,33,0,62,0,2756
78;C;1,5;33693209/100000000;2,33,61,0,0,2879;2,33,62,0,0,2756
79;C;0,20;2568989/12500000;2,20,0,27,0,3271;2,20,0,29,0,3159
80;C;0,20;2568989/12500000;2,20,0,34,0,2844;2,20,0,29,0,3159
81;C;5,20;2568989/12500000;2,20,0,62,0,156;2,20,0,29,0,3159
82;C;0,1;38939387/100000000;2,38,0,0,22,6632;2,38,0,0,22,6632
83;C;0,20;2568989/12500000;2,20,0,0,0,4000;2,20,0,0,0,4000
84;C;0,1;38939387/100000000;2,38,0,0,22,6632;2,38,0,0,22,6632
85;C;0,20;2568989/12500000;2,20,0,0,0,4000;2,20,0,0,0,4000
86;C;1,20;2568989/12500000;2,20,0,0,22,3032;2,20,0,0,0,4000
87;C;0,1;38939387/100000000;2,38,6,34,0,6408;2,38,6,34,0,6408
88;C;0,20;2568989/12500000;2,20,0,6,0,3964;2,20,0,7,0,3951
89;C;0,1;38939387/100000000;2,38,6,34,0,6408;2,38,6,34,0,6408
90;C;0,20;2568989/12500000;2,20,1,0,0,3999;2,20,7,0,0,3951
91;C;1,20;2568989/12500000;2,20,6,34,0,2808;2,20,7,0,0,3951
92;C;0,1;38939387/100000000;2,38,0,14,22,6436;2,38,0,14,22,6436
93;C;0,20;2568989/12500000;2,20,0,16,0,3744;2,20,0,18,0,3676
94;C;0,1;38939387/100000000;2,38,0,14,22,6436;2,38,0,14,22,6436
95;C;0,20;2568989/12500000;2,20,0,12,0,3856;2,20,0,18,0,3676
96;C;1,20;2568989/12500000;2,20,14,0,22,2836;2,20,18,0,0,3676
97;C;0,1;38939387/100000000;2,38,0,34,1,6442;2,38,0,34,1,6442
98;C;0,1;38939387/100000000;2,38,0,34,1,6442;2,38,0,34,1,6442
99;C;1,20;2568989/12500000;2,20,0,34,1,2842;2,20,0,0,0,4000
100;C;0,1;38939387/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;38939387/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,5;33693209/100000000;2,33,61,0,0,2879;2,33,62,0,0,2756
MASS SLACK NUMERATOR 17664497676611127329423944694896331376486835889207472397269553780209354079777180981348246637013045988904184570170587

BIN 17: PPC; (51/38,77/57]; gamma0=6049/10000; mass ceiling=99560211/100000000.
GAMMA 0=6049/10000;1=39570300000/65098107077;2=507990150000/835143033251;3=18693112500/30656552551;4=6099/10000;5=505848900000/827115487001;6=6149/10000;7=6199/10000;8=471075000000/759597592001;9=344141700000/551193669401;10=6249/10000;11=6299/10000;12=6349/10000;13=6399/10000;14=20042100000/31255736477;15=6449/10000;16=6499/10000;17=6549/10000;18=378915600000/575278792001;19=6599/10000;20=16123612500/24358194151;21=6649/10000;22=6699/10000;23=6749/10000;24=6799/10000;25=6849/10000;26=6899/10000;27=6949/10000;28=24924150000/35805807077;29=6999/10000;30=7049/10000;31=7099/10000;32=7149/10000;33=7199/10000;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38855449,39219785;1,2,39219785,39024548;2,3,39024548,38433659;3,4,38433659,38183424;4,5,38183424,35266556;5,6,35266556,29894599;6,7,29894599,25121320;7,8,25121320,24960692;8,9,24960692,22770477;9,10,22770477,22536746;10,11,22536746,20921002;11,12,20921002,20532696;12,13,20532696,20607446;13,14,20607446,20648580;14,15,20648580,20808501;15,16,20808501,21118501;16,17,21118501,21444701;17,18,21444701,21691933;18,19,21691933,21061656;19,20,21061656,20042502;20,21,20042502,18606249;21,22,18606249,16302974;22,23,16302974,14151834;23,24,14151834,12152826;24,25,12152826,10305952;25,26,10305952,8611212;26,27,8611212,7068604;27,28,7068604,6723191;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;719366502251/190399950000,5/13,65098107077/29292300000;-3654504846214049
1;0,6,7;8/13,1,7;-2
3;0,3,7;82/247,3,1;-2
4;2,3,7;1097/494,49/26,13/19;-255
5;2,3,8;1471/741,56/39,13/19;-50
8;1,3,6;271/1482,75/26,77/57;-271
9;1,4,10;583997019851/126933300000,31/26,65098107077/29292300000;-2848966596214049
10;0,10;4/13,1;-1
12;0,2,10;5/6,1,1;-1
13;2,3,10;137/57,1/3,13/19;-1
17;2,3,8;1471/741,56/39,13/19;-50
19;0,3,13;506/741,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;15/13,79/13,311/26;-5
25;2,3,8;1471/741,56/39,13/19;-50
26;1,3,12;278/741,40/13,77/57;-278
27;0,1,7;8/13,2,1;-1
28;0,6,7;21/13,1,7;-2
30;0,3,7;82/247,3,1;-2
31;2,3,7;1591/494,49/26,97/114;-271
33;1,4,7;301438612001/76159980000,93/26,65098107077/29292300000;-578813346214049
35;1,3,6;271/1482,75/26,77/57;-271
36;1,4,10;797454892001/126933300000,5/26,65098107077/29292300000;-4752966096214049
37;0,10;4/13,1;-1
39;0,2,10;1,1,1;-1
42;1,4,10;301438612001/76159980000,93/26,65098107077/29292300000;-578813346214049
45;1,4,13;748634392001/126933300000,5/13,65098107077/29292300000;-3654504846214049
46;0,3,13;506/741,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;15/13,66/13,259/26;-5
53;1,3,12;278/741,40/13,77/57;-278
54;0,1,7;21/13,2,1;-1
55;0,6,7;34/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;2085/494,31/13,251/228;-271
60;0,1,12;1/2,3,1;-1
62;1,3,6;271/1482,75/26,77/57;-271
63;0,1,10;21/26,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;349419961513/47599987500,9/13,65098107077/29292300000;-2482812846214049
66;0,1,12;1/2,3,1;-1
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;506/741,2,1;-1
74;1,4,6;349419961513/47599987500,9/13,65098107077/29292300000;-2482812846214049
75;0,7,13;49/13,1,6;-2
76;1,12,13;15/13,53/13,207/26;-5
80;1,3,12;278/741,40/13,77/57;-278
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;13891918181162294,46879800659108747820900000,215745950961913,6099
6;1,4,12,3;109699366599939,445302035648569550700000,226425070088152,323
7;11,4,2,3;226425070088152,3276123574050672909300000,215745950961913,855
11;8,4,6,3;13891918181162294,75885566884033788838856250,238408955702619273,472511
14;5,4,2,3;238408955702619273,4321010335614140216418750,215745950961913,9272
15;1,4,12,3;109699366599939,445302035648569550700000,226425070088152,323
16;11,4,2,3;226425070088152,3276123574050672909300000,215745950961913,855
18;1,4,13,3;109699366599939,1498732266981404159100000,13891918181162294,475
20;1,4,6,3;109699366599939,9397674967515263279831250,238408955702619273,8094
23;5,4,2,3;238408955702619273,4321010335614140216418750,215745950961913,9272
24;1,4,2,3;109699366599939,5720258928600000000000000,215745950961913,722
29;1,4,7,3;109699366599939,24107488541917684990920000,687561867314369073,6441
32;8,4,2,3;687561867314369073,4675595929833223009080000,3722347720999878,36537
34;1,4,2,3;109699366599939,4290194196450000000000000,3722347720999878,3249
38;1,4,6,3;109699366599939,9704437593136053119325000,257743880986769073,1311
41;5,4,2,3;257743880986769073,29199686909402014380675000,3722347720999878,97869
43;1,4,2,3;109699366599939,4290194196450000000000000,3722347720999878,3249
44;8,4,2,3;687561867314369073,4675595929833223009080000,3722347720999878,36537
47;1,4,6,3;109699366599939,9704437593136053119325000,257743880986769073,1311
50;5,4,2,3;257743880986769073,29199686909402014380675000,3722347720999878,97869
51;1,4,9,3;109699366599939,24107488541917684990920000,687561867314369073,6441
52;8,4,2,3;687561867314369073,4675595929833223009080000,3722347720999878,36537
56;1,4,7,3;109699366599939,1798478720377684990920000,122859472728104073,2850
59;8,4,2,3;122859472728104073,5496969595316698904040000,3167697156377028,115311
61;1,4,2,3;109699366599939,1072548549112500000000000,3167697156377028,3249
68;1,4,2,3;109699366599939,1072548549112500000000000,3167697156377028,3249
70;1,4,2,3;109699366599939,1072548549112500000000000,3167697156377028,3249
71;8,4,2,3;122859472728104073,5496969595316698904040000,3167697156377028,115311
77;1,4,2,3;109699366599939,1072548549112500000000000,3167697156377028,3249
78;1,4,9,3;109699366599939,1798478720377684990920000,122859472728104073,2850
79;8,4,2,3;122859472728104073,5496969595316698904040000,3167697156377028,115311
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/14;E/4,5/2/0/2;E/4,2/3/0/14;E/4,3/4/2/14
6:V/3,1/5/0/1;V/12,3/6/0/3;E/4,1/7/0/1;E/4,12/8/0/3;E/4,3/9/1/3
7:V/3,11/6/0/3;V/2,3/10/0/14;E/4,11/8/0/3;E/4,2/11/0/14;E/4,3/12/3/14
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/14;E/4,5/14/0/9;E/4,2/16/0/14;E/4,3/17/9/14
15:V/3,1/18/0/1;V/12,3/19/0/3;E/4,1/20/0/1;E/4,12/21/0/3;E/4,3/22/1/3
16:V/3,11/19/0/3;V/2,3/23/0/14;E/4,11/21/0/3;E/4,2/24/0/14;E/4,3/25/3/14
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/14;E/4,5/32/0/9;E/4,2/35/0/14;E/4,3/36/9/14
24:V/3,1/37/0/1;V/2,3/38/0/14;E/4,1/39/0/1;E/4,2/40/0/14;E/4,3/41/1/14
29:V/3,1/42/0/1;V/7,3/43/0/18;E/4,1/44/0/1;E/4,7/45/0/18;E/4,3/46/1/18
32:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/8;E/4,1/44/0/1;E/4,6/56/0/8;E/4,3/46/1/8
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/8;V/2,3/57/0/28;E/4,5/56/0/8;E/4,2/58/0/28;E/4,3/59/8/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
47:V/3,1/65/0/1;V/6,3/66/0/8;E/4,1/67/0/1;E/4,6/68/0/8;E/4,3/69/1/8
50:V/3,5/66/0/8;V/2,3/51/0/28;E/4,5/68/0/8;E/4,2/53/0/28;E/4,3/70/8/28
51:V/3,1/71/0/1;V/9,3/43/0/18;E/4,1/72/0/1;E/4,9/45/0/18;E/4,3/73/1/18
52:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
56:V/3,1/74/0/1;V/7,3/75/0/5;E/4,1/76/0/1;E/4,7/77/0/5;E/4,3/78/1/5
59:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
61:V/3,1/82/0/1;V/2,3/83/0/20;E/4,1/84/0/1;E/4,2/85/0/20;E/4,3/86/1/20
67:V/2,3/83/0/20;E/4,2/85/0/20
68:V/3,1/87/0/1;V/2,3/88/0/20;E/4,1/89/0/1;E/4,2/90/0/20;E/4,3/91/1/20
70:V/3,1/92/0/1;V/2,3/93/0/20;E/4,1/94/0/1;E/4,2/95/0/20;E/4,3/96/1/20
71:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
77:V/3,1/97/0/1;V/2,3/83/0/20;E/4,1/98/0/1;E/4,2/85/0/20;E/4,3/99/1/20
78:V/3,1/100/0/1;V/9,3/75/0/5;E/4,1/101/0/1;E/4,9/77/0/5;E/4,3/102/1/5
79:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;38855449/100000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,7;628033/2500000;2,25,0,61,0,1279;2,25,0,62,0,1156
1;C;7,10;11268373/50000000;2,22,0,62,0,556;2,22,0,63,0,431
1;C;10,12;2566587/12500000;2,20,0,63,0,31;4,2053,0,6349,0,750199
1;C;12,13;2566587/12500000;4,2053,0,6349,0,750199;4,2053,0,6399,0,112799
1;C;13,14;10303723/50000000;4,2060,0,6399,0,252799;4,2060,0,6413,0,73431
2;C;0,2;38855449/100000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,7;628033/2500000;2,25,0,61,0,1279;2,25,0,62,0,1156
3;C;7,10;11268373/50000000;2,22,0,62,0,556;2,22,0,63,0,431
3;C;10,12;2566587/12500000;2,20,0,63,0,31;4,2053,0,6349,0,750199
3;C;12,13;2566587/12500000;4,2053,0,6349,0,750199;4,2053,0,6399,0,112799
3;C;13,14;10303723/50000000;4,2060,0,6399,0,252799;4,2060,0,6413,0,73431
4;C;2,3;38433659/100000000;2,38,61,61,0,158;2,38,61,56,0,743
4;C;3,5;8816639/25000000;2,35,61,56,0,143;2,35,62,51,0,555
4;L;5,6;8816639/25000000,29894599/100000000;2,35,62,51,0,555;2,29,62,40,0,356
4;L;6,7;29894599/100000000,628033/2500000;2,29,62,40,0,356;2,25,62,23,0,627
4;C;7,8;6240173/25000000;2,24,62,23,0,427;2,24,63,23,0,302
4;C;8,9;22770477/100000000;4,2277,6202,2211,0,2186675;2,22,63,9,0,350
4;C;9,11;10460501/50000000;4,2092,6244,846,0,2136748;2,20,63,0,0,31
4;C;11,12;2566587/12500000;2,20,63,0,0,31;4,2053,6349,0,0,750199
4;C;12,13;2566587/12500000;4,2053,6349,0,0,750199;4,2053,6399,0,0,112799
4;C;13,14;10303723/50000000;4,2060,6399,0,0,252799;4,2060,6413,0,0,73431
5;C;0,1;38855449/100000000;2,38,0,0,61,158;2,38,0,0,61,158
6;C;0,3;38433659/100000000;2,38,0,0,61,158;2,38,0,0,61,158
7;C;0,1;38855449/100000000;2,38,0,0,61,158;2,38,0,0,61,158
8;C;0,3;38433659/100000000;2,38,0,0,61,158;2,38,0,0,61,158
9;C;1,3;38433659/100000000;2,38,0,0,61,158;2,38,0,0,61,158
10;C;0,14;2566587/12500000;2,20,0,0,13,3662;2,20,0,0,14,3608
11;C;0,14;2566587/12500000;2,20,0,0,12,3712;2,20,0,0,14,3608
12;C;3,4;149154/390625;2,38,0,0,61,158;2,38,0,0,61,158
12;L;4,5;149154/390625,8816639/25000000;2,38,0,0,61,158;2,35,0,0,59,38
12;L;5,6;8816639/25000000,29894599/100000000;2,35,0,0,59,38;4,2989,0,0,5327,3026142
12;L;6,7;29894599/100000000,628033/2500000;4,2989,0,0,5327,3026142;2,25,0,0,46,768
12;C;7,8;6240173/25000000;2,24,0,0,46,568;2,24,0,0,46,568
12;C;8,11;10460501/50000000;4,2092,0,0,4536,689408;2,20,0,0,31,2078
12;C;11,14;2566587/12500000;2,20,0,0,31,2078;2,20,0,0,14,3608
13;C;0,9;22770477/100000000;2,22,9,61,0,598;2,22,9,63,0,350
14;C;0,9;22770477/100000000;2,22,7,61,0,630;2,22,9,63,0,350
15;C;0,14;2566587/12500000;2,20,8,10,0,3836;2,20,9,10,0,3819
16;C;0,14;2566587/12500000;2,20,6,8,0,3900;2,20,10,9,0,3819
17;C;9,14;2566587/12500000;4,2053,846,6244,0,1356748;2,20,10,9,0,3819
18;L;0,1;38855449/100000000,7843957/20000000;4,3885,0,2121,6049,20557;12,392197850000,0,213112486002,607856384414,164326269809204
19;C;0,3;38433659/100000000;4,3843,0,1571,6049,1211157;8,38433659,0,15830603,60975912,120192903
20;L;0,1;38855449/100000000,7843957/20000000;8,38855449,0,21284019,60490000,135207639;12,392197850000,0,213112486002,607856384414,164326269809204
21;C;0,3;38433659/100000000;4,3843,0,1538,6049,1313754;8,38433659,0,15830603,60975912,120192903
22;L;1,2;7843957/20000000,9756137/25000000;12,392197850000,0,213112486002,607856384414,164326269809204;10,3902454800,0,2012781130,6082672426,438674472148
22;L;2,3;9756137/25000000,38433659/100000000;10,3902454800,0,2012781130,6082672426,438674472148;8,38433659,0,15830603,60975912,120192903
23;C;0,14;2566587/12500000;2,20,0,25,13,3037;2,20,0,26,14,2932
24;C;0,14;2566587/12500000;2,20,0,23,12,3183;2,20,0,26,14,2932
25;L;3,4;38433659/100000000,149154/390625;8,38433659,15830603,0,60975912,120192903;10,3818342400,1587587315,0,6076446902,611600295567
25;L;4,5;149154/390625,8816639/25000000;10,3818342400,1587587315,0,6076446902,611600295567;10,3526655600,1641634695,0,5824008374,447328009223
25;L;5,6;8816639/25000000,29894599/100000000;10,3526655600,1641634695,0,5824008374,447328009223;8,29894599,17482565,0,53260115,21394325
25;L;6,7;29894599/100000000,628033/2500000;8,29894599,17482565,0,53260115,21394325;2,25,20,0,46,368
25;C;7,8;6240173/25000000;2,24,20,0,46,168;2,24,20,0,46,168
25;C;8,9;22770477/100000000;4,2277,1918,0,4536,710684;2,22,21,0,40,759
25;C;9,11;10460501/50000000;2,20,21,0,40,359;2,20,23,0,31,1549
25;C;11,14;2566587/12500000;2,20,23,0,31,1549;2,20,26,0,14,2932
26;C;0,1;38855449/100000000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;38855449/100000000;2,38,61,61,0,158;2,38,61,61,0,158
28;C;1,2;9756137/25000000;2,39,61,61,0,358;2,39,61,61,0,358
29;C;0,1;38855449/100000000;2,38,0,61,30,2079;2,38,0,61,30,2079
30;C;0,9;22770477/100000000;2,22,0,61,2,671;2,22,0,63,2,423
31;C;0,1;38855449/100000000;2,38,0,61,30,2079;2,38,0,61,30,2079
32;C;0,9;22770477/100000000;2,22,0,61,0,679;2,22,0,63,2,423
33;C;1,5;8816639/25000000;2,35,61,0,30,1479;2,35,62,0,24,2004
33;C;5,7;628033/2500000;2,25,62,0,24,4;2,25,62,0,9,994
33;C;7,9;22770477/100000000;2,22,62,0,9,394;2,22,63,0,2,423
34;C;0,14;2566587/12500000;2,20,0,8,0,3936;2,20,0,9,0,3919
35;C;0,14;2566587/12500000;2,20,0,8,0,3936;2,20,0,9,0,3919
36;C;9,14;2566587/12500000;2,20,0,63,2,23;2,20,0,9,0,3919
37;C;0,1;38855449/100000000;2,38,0,61,41,517;2,38,0,61,42,351
38;C;0,7;628033/2500000;2,25,0,61,0,1279;2,25,0,62,0,1156
38;C;7,10;11268373/50000000;2,22,0,62,0,556;2,22,0,63,0,431
38;C;10,12;2566587/12500000;2,20,0,63,0,31;4,2053,0,6349,0,750199
38;C;12,13;2566587/12500000;4,2053,0,6349,0,750199;4,2053,0,6399,0,112799
38;C;13,14;10303723/50000000;4,2060,0,6399,0,252799;4,2060,0,6413,0,73431
39;C;0,1;38855449/100000000;2,38,0,61,41,517;2,38,0,61,42,351
40;C;0,7;628033/2500000;2,25,0,61,0,1279;2,25,0,62,0,1156
40;C;7,10;11268373/50000000;2,22,0,62,0,556;2,22,0,63,0,431
40;C;10,12;2566587/12500000;2,20,0,63,0,31;4,2053,0,6349,0,750199
40;C;12,13;2566587/12500000;4,2053,0,6349,0,750199;4,2053,0,6399,0,112799
40;C;13,14;10303723/50000000;4,2060,0,6399,0,252799;4,2060,0,6413,0,73431
41;C;1,4;149154/390625;2,38,61,0,42,351;2,38,61,0,39,837
41;C;4,5;8816639/25000000;2,35,61,0,39,237;2,35,62,0,36,564
41;L;5,6;8816639/25000000,29894599/100000000;2,35,62,0,36,564;4,2989,6149,0,3126,2426047
41;L;6,7;29894599/100000000,628033/2500000;4,2989,6149,0,3126,2426047;8,25121320,61990000,0,24305389,31117358
41;L;7,8;628033/2500000,6240173/25000000;8,25121320,61990000,0,24305389,31117358;10,2496069200,6201638934,0,2393852336,519150029852
41;L;8,9;6240173/25000000,22770477/100000000;10,2496069200,6201638934,0,2393852336,519150029852;10,2277047700,6243571346,0,1810907214,971973264692
41;L;9,10;22770477/100000000,11268373/50000000;10,2277047700,6243571346,0,1810907214,971973264692;8,22536746,62490000,0,17354380,89631200
41;L;10,11;11268373/50000000,10460501/50000000;8,22536746,62490000,0,17354380,89631200;8,20921002,62990000,0,10403371,43672718
41;L;11,12;10460501/50000000,2566587/12500000;8,20921002,62990000,0,10403371,43672718;4,2053,6349,0,346,510767
41;C;12,13;2566587/12500000;4,2053,6349,0,346,510767;4,2053,6399,0,0,112799
41;C;13,14;10303723/50000000;4,2060,6399,0,0,252799;4,2060,6413,0,0,73431
42;C;0,1;38855449/100000000;2,38,21,61,0,3438;2,38,21,61,0,3438
43;C;0,9;22770477/100000000;2,22,0,61,0,679;2,22,0,63,0,431
43;C;9,13;2566587/12500000;2,20,0,63,0,31;4,2053,0,6399,0,112799
43;C;13,14;10303723/50000000;4,2060,0,6399,0,252799;4,2060,0,6413,0,73431
43;L;14,15;1032429/5000000,20808501/100000000;4,2064,0,6413,0,153431;4,2080,0,6449,0,10399
43;L;15,16;20808501/100000000,21118501/100000000;4,2080,0,6449,0,10399;8,21118501,0,64990000,0,100000000
43;L;16,17;21118501/100000000,21444701/100000000;8,21118501,0,64990000,0,100000000;8,21444701,0,65490000,0,100000000
43;L;17,18;21444701/100000000,21691933/100000000;8,21444701,0,65490000,0,100000000;10,2169193300,0,6586642951,0,636042011599
44;C;0,1;38855449/100000000;2,38,61,21,0,3438;2,38,61,21,0,3438
45;C;0,9;22770477/100000000;2,22,0,61,0,679;2,22,0,63,0,431
45;C;9,13;2566587/12500000;2,20,0,63,0,31;4,2053,0,6399,0,112799
45;C;13,14;10303723/50000000;4,2060,0,6399,0,252799;4,2060,0,6413,0,73431
45;L;14,15;1032429/5000000,20808501/100000000;4,2064,0,6413,0,153431;4,2080,0,6449,0,10399
45;L;15,16;20808501/100000000,21118501/100000000;4,2080,0,6449,0,10399;8,21118501,0,64990000,0,100000000
45;L;16,17;21118501/100000000,21444701/100000000;8,21118501,0,64990000,0,100000000;8,21444701,0,65490000,0,100000000
45;L;17,18;21444701/100000000,21691933/100000000;8,21444701,0,65490000,0,100000000;10,2169193300,0,6586642951,0,636042011599
46;C;1,9;22770477/100000000;2,22,61,21,0,238;2,22,63,2,0,427
46;C;9,13;2566587/12500000;2,20,63,2,0,27;4,2053,6399,0,0,112799
46;C;13,14;10303723/50000000;4,2060,6399,0,0,252799;4,2060,6413,0,0,73431
46;L;14,15;1032429/5000000,20808501/100000000;4,2064,6413,0,0,153431;4,2080,6449,0,0,10399
46;L;15,16;20808501/100000000,21118501/100000000;4,2080,6449,0,0,10399;8,21118501,64990000,0,0,100000000
46;L;16,17;21118501/100000000,21444701/100000000;8,21118501,64990000,0,0,100000000;8,21444701,65490000,0,0,100000000
46;L;17,18;21444701/100000000,21691933/100000000;8,21444701,65490000,0,0,100000000;10,2169193300,6586642951,0,0,636042011599
47;C;0,28;6723191/100000000;2,6,0,32,0,176;10,672319100,0,3666930859,0,75313522119
48;C;0,14;2566587/12500000;2,20,0,45,0,1975;2,20,0,42,0,2236
48;C;14,21;18606249/100000000;2,18,0,42,0,1836;2,18,0,40,0,2000
48;C;21,24;6076413/50000000;2,12,0,40,0,800;2,12,0,39,0,879
48;C;24,26;2152803/25000000;2,8,0,39,0,79;2,8,0,38,0,156
48;C;26,27;1767151/25000000;4,706,0,3721,0,274159;2,7,0,37,0,31
48;L;27,28;1767151/25000000,6723191/100000000;2,7,0,37,0,31;10,672319100,0,3666930859,0,75313522119
49;L;18,19;21691933/100000000,2632707/12500000;10,2169193300,0,6586642951,0,636042011599;8,21061656,0,64902474,0,68679324
49;L;19,20;2632707/12500000,10021251/50000000;8,21061656,0,64902474,0,68679324;8,20042502,0,63312718,0,139452476
49;L;20,21;10021251/50000000,18606249/100000000;8,20042502,0,63312718,0,139452476;8,18606249,0,61002047,0,61809791
49;L;21,22;18606249/100000000,8151487/50000000;8,18606249,0,61002047,0,61809791;10,1630297400,0,5710161813,0,69356553031
49;L;22,23;8151487/50000000,7075917/50000000;10,1630297400,0,5710161813,0,69356553031;8,14151834,0,53201191,0,76181519
49;L;23,24;7075917/50000000,6076413/50000000;8,14151834,0,53201191,0,76181519;10,1215282600,0,4930076235,0,317088224775
49;L;24,25;6076413/50000000,322061/3125000;10,1215282600,0,4930076235,0,317088224775;10,1030595200,0,4540033445,0,318281431975
49;L;25,26;322061/3125000,2152803/25000000;10,1030595200,0,4540033445,0,318281431975;8,8611212,0,41499907,0,118991351
49;L;26,27;2152803/25000000,1767151/25000000;8,8611212,0,41499907,0,118991351;10,706860400,0,3759947867,0,37442150311
49;L;27,28;1767151/25000000,6723191/100000000;10,706860400,0,3759947867,0,37442150311;10,672319100,0,3666930859,0,75313522119
50;C;0,1;38855449/100000000;2,38,0,0,43,3902;2,38,0,0,43,3902
51;C;0,28;6723191/100000000;2,6,0,0,0,1200;2,6,0,0,0,1200
52;C;0,1;38855449/100000000;2,38,0,0,43,3902;2,38,0,0,43,3902
53;C;0,28;6723191/100000000;2,6,0,0,0,1200;2,6,0,0,0,1200
54;C;1,14;2566587/12500000;2,20,0,0,43,302;2,20,0,0,27,2542
54;C;14,21;18606249/100000000;2,18,0,0,27,2142;2,18,0,0,15,3150
54;C;21,28;6723191/100000000;2,6,0,0,15,750;2,6,0,0,0,1200
55;C;0,8;6240173/25000000;2,24,7,61,0,1030;2,24,7,63,0,782
56;C;0,8;6240173/25000000;2,24,5,61,0,1054;2,24,7,63,0,782
57;C;0,28;6723191/100000000;2,6,0,8,0,1136;2,6,0,9,0,1119
58;C;0,28;6723191/100000000;2,6,0,0,0,1200;2,6,9,0,0,1119
59;C;8,18;2566587/12500000;4,2053,630,6202,0,2198296;2,20,8,22,0,3452
59;C;18,28;6723191/100000000;2,6,8,22,0,652;2,6,9,0,0,1119
60;C;0,1;38855449/100000000;2,38,0,14,43,3706;2,38,0,15,43,3677
61;C;0,28;6723191/100000000;2,6,0,20,0,800;2,6,0,23,0,671
62;C;0,1;38855449/100000000;2,38,0,14,43,3706;2,38,0,15,43,3677
63;C;0,28;6723191/100000000;2,6,0,14,0,1004;2,6,0,23,0,671
64;C;1,14;2566587/12500000;2,20,15,0,43,77;2,20,18,0,27,2218
64;C;14,21;18606249/100000000;2,18,18,0,27,1818;2,18,20,0,15,2750
64;C;21,28;6723191/100000000;2,6,20,0,15,350;2,6,23,0,0,671
65;C;0,1;38855449/100000000;2,38,0,61,9,3717;2,38,0,61,9,3717
66;C;0,8;6240173/25000000;2,24,0,61,1,1077;2,24,0,63,1,829
67;C;0,1;38855449/100000000;2,38,0,61,9,3717;2,38,0,61,9,3717
68;C;0,8;6240173/25000000;2,24,0,61,0,1079;2,24,0,63,1,829
69;C;1,8;6240173/25000000;2,24,61,0,9,917;2,24,63,0,1,829
70;C;8,18;2566587/12500000;2,20,0,63,1,29;2,20,0,22,0,3516
70;C;18,28;6723191/100000000;2,6,0,22,0,716;2,6,0,0,0,1200
71;C;0,1;38855449/100000000;2,38,0,61,20,3079;2,38,0,61,20,3079
72;C;0,1;38855449/100000000;2,38,0,61,20,3079;2,38,0,61,20,3079
73;C;1,9;22770477/100000000;4,2277,6079,0,1961,894717;2,22,63,0,12,143
73;C;9,11;10460501/50000000;4,2092,6244,0,1140,253264;4,2092,6299,0,864,669607
73;L;11,12;10460501/50000000,2566587/12500000;4,2092,6299,0,864,669607;8,20532696,63490000,0,6146500,175500000
73;L;12,13;2566587/12500000,10303723/50000000;8,20532696,63490000,0,6146500,175500000;8,20607446,63990000,0,3658490,1839800
73;L;13,14;10303723/50000000,1032429/5000000;8,20607446,63990000,0,3658490,1839800;8,20648580,64122950,0,2996932,80472252
73;L;14,15;1032429/5000000,20808501/100000000;8,20648580,64122950,0,2996932,80472252;8,20808501,64490000,0,1170479,57821118
73;L;15,16;20808501/100000000,21118501/100000000;8,20808501,64490000,0,1170479,57821118;8,21118501,64990000,0,0,100000000
73;L;16,17;21118501/100000000,21444701/100000000;8,21118501,64990000,0,0,100000000;8,21444701,65490000,0,0,100000000
73;L;17,18;21444701/100000000,21691933/100000000;8,21444701,65490000,0,0,100000000;10,2169193300,6586642951,0,0,636042011599
74;C;0,1;38855449/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,5;8816639/25000000;2,35,0,61,0,3279;2,35,0,62,0,3156
76;C;0,1;38855449/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,5;8816639/25000000;2,35,0,61,0,3279;2,35,0,62,0,3156
78;C;1,5;8816639/25000000;2,35,61,0,0,3279;2,35,62,0,0,3156
79;C;0,20;10021251/50000000;2,20,0,26,0,3324;2,20,0,28,0,3216
80;C;0,20;10021251/50000000;2,20,0,33,0,2911;2,20,0,28,0,3216
81;C;5,20;10021251/50000000;2,20,0,62,0,156;2,20,0,28,0,3216
82;C;0,1;38855449/100000000;2,38,0,0,22,6632;2,38,0,0,22,6632
83;C;0,20;10021251/50000000;2,20,0,0,0,4000;2,20,0,0,0,4000
84;C;0,1;38855449/100000000;2,38,0,0,22,6632;2,38,0,0,22,6632
85;C;0,20;10021251/50000000;2,20,0,0,0,4000;2,20,0,0,0,4000
86;C;1,20;10021251/50000000;2,20,0,0,22,3032;2,20,0,0,0,4000
87;C;0,1;38855449/100000000;2,38,6,33,0,6475;2,38,6,33,0,6475
88;C;0,20;10021251/50000000;2,20,0,6,0,3964;2,20,0,7,0,3951
89;C;0,1;38855449/100000000;2,38,5,33,0,6486;2,38,6,33,0,6475
90;C;0,20;10021251/50000000;2,20,1,0,0,3999;2,20,7,0,0,3951
91;C;1,20;10021251/50000000;2,20,6,33,0,2875;2,20,7,0,0,3951
92;C;0,1;38855449/100000000;2,38,0,14,22,6436;2,38,0,14,22,6436
93;C;0,20;10021251/50000000;2,20,0,16,0,3744;2,20,0,18,0,3676
94;C;0,1;38855449/100000000;2,38,0,14,22,6436;2,38,0,14,22,6436
95;C;0,20;10021251/50000000;2,20,0,12,0,3856;2,20,0,18,0,3676
96;C;1,20;10021251/50000000;2,20,14,0,22,2836;2,20,18,0,0,3676
97;C;0,1;38855449/100000000;2,38,0,33,1,6509;2,38,0,33,1,6509
98;C;0,1;38855449/100000000;2,38,0,33,1,6509;2,38,0,33,1,6509
99;C;1,20;10021251/50000000;2,20,0,33,1,2909;2,20,0,0,0,4000
100;C;0,1;38855449/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;38855449/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,5;8816639/25000000;2,35,61,0,0,3279;2,35,62,0,0,3156
MASS SLACK NUMERATOR 374365584371056674541377121761588348467046745447985674756013679498125144499698246487941441358853764164226985891141

BIN 18: PPC; (77/57,155/114]; gamma0=6059/10000; mass ceiling=49924017/50000000.
GAMMA 0=6059/10000;1=278790750000/457936749539;2=1795502362500/2947756062841;3=264401550000/433000265939;4=6109/10000;5=3579913050000/5853929436107;6=6159/10000;7=3328701600000/5362021444007;8=6209/10000;9=2440168500000/3901112947757;10=6259/10000;11=6309/10000;12=6359/10000;13=6409/10000;14=142093350000/221040155339;15=6459/10000;16=6509/10000;17=6559/10000;18=2691379950000/4087378144007;19=6609/10000;20=113764612500/171632359057;21=6659/10000;22=6709/10000;23=6759/10000;24=6809/10000;25=6859/10000;26=6909/10000;27=6959/10000;28=176267700000/252890649539;29=7009/10000;30=7059/10000;31=7109/10000;32=7159/10000;33=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38790604,39146884;1,2,39146884,39007418;2,3,39007418,38439453;3,4,38439453,37956773;4,5,37956773,36839221;5,6,36839221,29725321;6,7,29725321,25080304;7,8,25080304,25015607;8,9,25015607,22662870;9,10,22662870,22499048;10,11,22499048,20935719;11,12,20935719,20520911;12,13,20520911,20627229;13,14,20627229,20702970;14,15,20702970,20861708;15,16,20861708,21183541;16,17,21183541,21510241;17,18,21510241,21678559;18,19,21678559,20421160;19,20,20421160,19448276;20,21,19448276,17960699;21,22,17960699,15658128;22,23,15658128,13513447;23,24,13513447,11526655;24,25,11526655,9697752;25,26,9697752,8026740;26,27,8026740,6513617;27,28,6513617,6198691;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;5064815515757/1332799650000,5/13,457936749539/205046100000;-25817998950938413
1;0,6,7;8/13,1,7;-2
3;0,3,7;151/494,3,1;-2
4;2,3,7;1123/494,49/26,79/114;-739
5;2,3,8;3007/1482,56/39,79/114;-37
8;1,3,6;245/1482,75/26,155/114;-245
9;1,4,10;4117229138957/888533100000,31/26,457936749539/205046100000;-20179231200938413
10;0,10;4/13,1;-1
12;0,2,10;5/6,1,1;-1
13;2,3,10;139/57,1/3,79/114;-1
17;2,3,8;3007/1482,56/39,79/114;-37
19;0,3,13;493/741,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;15/13,79/13,311/26;-5
25;2,3,8;3007/1482,56/39,79/114;-37
26;1,3,12;265/741,40/13,155/114;-265
27;0,1,7;8/13,2,1;-1
28;0,6,7;21/13,1,7;-2
30;0,3,7;151/494,3,1;-2
31;2,3,7;1617/494,49/26,49/57;-245
33;1,4,7;2139320284007/533119860000,93/26,457936749539/205046100000;-4288158450938413
35;1,3,6;245/1482,75/26,155/114;-245
36;1,4,10;5611434244007/888533100000,5/26,457936749539/205046100000;-33507227700938413
37;0,10;4/13,1;-1
39;0,2,10;1,1,1;-1
42;1,4,10;2139320284007/533119860000,93/26,457936749539/205046100000;-4288158450938413
45;1,4,13;5269690744007/888533100000,5/13,457936749539/205046100000;-25817998950938413
46;0,3,13;493/741,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;15/13,66/13,259/26;-5
53;1,3,12;265/741,40/13,155/114;-265
54;0,1,7;21/13,2,1;-1
55;0,6,7;34/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;2111/494,31/13,253/228;-245
60;0,1,12;1/2,3,1;-1
62;1,3,6;245/1482,75/26,155/114;-245
63;0,1,10;21/26,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;2460564730591/333199912500,9/13,457936749539/205046100000;-17616154950938413
66;0,1,12;1/2,3,1;-1
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;493/741,2,1;-1
74;1,4,6;2460564730591/333199912500,9/13,457936749539/205046100000;-17616154950938413
75;0,7,13;49/13,1,6;-2
76;1,12,13;15/13,53/13,207/26;-5
80;1,3,12;265/741,40/13,155/114;-265
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;186869609126848856,2311167404865082075433100000,9308236663313886,73682
6;1,4,12,3;1512635737924686,20576563037472745491300000,777741769672762,304
7;11,4,2,3;777741769672762,161611376095310159648700000,9308236663313886,2584
11;8,4,6,3;186869609126848856,3728169773270205566617518750,1700242986928169151,86203
14;5,4,2,3;1700242986928169151,214365226301734139143706250,9308236663313886,56373
15;1,4,12,3;1512635737924686,20576563037472745491300000,777741769672762,304
16;11,4,2,3;777741769672762,161611376095310159648700000,9308236663313886,2584
18;1,4,13,3;1512635737924686,57275803861095691386900000,186869609126848856,1406
20;1,4,6,3;1512635737924686,457455683929311692135043750,1700242986928169151,4503
23;5,4,2,3;1700242986928169151,214365226301734139143706250,9308236663313886,56373
24;1,4,2,3;1512635737924686,280292687501400000000000000,9308236663313886,8664
29;1,4,7,3;1512635737924686,1161872445888774829664280000,9551676697002215802,177384
32;8,4,2,3;9551676697002215802,22392037296773522030520000,13133515603262343,38019
34;1,4,2,3;1512635737924686,210219515626050000000000000,13133515603262343,3249
38;1,4,6,3;1512635737924686,463395884147921768540175000,1775127901303007901,28101
41;5,4,2,3;1775127901303007901,1441539789624874213959825000,13133515603262343,49305
43;1,4,2,3;1512635737924686,210219515626050000000000000,13133515603262343,3249
44;8,4,2,3;9551676697002215802,22392037296773522030520000,13133515603262343,38019
47;1,4,6,3;1512635737924686,463395884147921768540175000,1775127901303007901,28101
50;5,4,2,3;1775127901303007901,1441539789624874213959825000,13133515603262343,49305
51;1,4,9,3;1512635737924686,1161872445888774829664280000,9551676697002215802,177384
52;8,4,2,3;9551676697002215802,22392037296773522030520000,13133515603262343,38019
56;1,4,7,3;1512635737924686,6248269512119529969480000,133449538118790582,8436
59;8,4,2,3;133449538118790582,25312492466338363430760000,22281450815989236,236550
61;1,4,2,3;1512635737924686,52554878906512500000000000,22281450815989236,6498
68;1,4,2,3;1512635737924686,52554878906512500000000000,22281450815989236,6498
70;1,4,2,3;1512635737924686,52554878906512500000000000,22281450815989236,6498
71;8,4,2,3;133449538118790582,25312492466338363430760000,22281450815989236,236550
77;1,4,2,3;1512635737924686,52554878906512500000000000,22281450815989236,6498
78;1,4,9,3;1512635737924686,6248269512119529969480000,133449538118790582,8436
79;8,4,2,3;133449538118790582,25312492466338363430760000,22281450815989236,236550
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/14;E/4,5/2/0/2;E/4,2/3/0/14;E/4,3/4/2/14
6:V/3,1/5/0/1;V/12,3/6/0/3;E/4,1/7/0/1;E/4,12/8/0/3;E/4,3/9/1/3
7:V/3,11/6/0/3;V/2,3/10/0/14;E/4,11/8/0/3;E/4,2/11/0/14;E/4,3/12/3/14
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/14;E/4,5/14/0/9;E/4,2/16/0/14;E/4,3/17/9/14
15:V/3,1/18/0/1;V/12,3/19/0/3;E/4,1/20/0/1;E/4,12/21/0/3;E/4,3/22/1/3
16:V/3,11/19/0/3;V/2,3/23/0/14;E/4,11/21/0/3;E/4,2/24/0/14;E/4,3/25/3/14
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/14;E/4,5/32/0/9;E/4,2/35/0/14;E/4,3/36/9/14
24:V/3,1/37/0/1;V/2,3/38/0/14;E/4,1/39/0/1;E/4,2/40/0/14;E/4,3/41/1/14
29:V/3,1/42/0/1;V/7,3/43/0/18;E/4,1/44/0/1;E/4,7/45/0/18;E/4,3/46/1/18
32:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
34:V/3,1/50/0/1;V/2,3/51/0/28;E/4,1/52/0/1;E/4,2/53/0/28;E/4,3/54/1/28
38:V/3,1/42/0/1;V/6,3/55/0/7;E/4,1/44/0/1;E/4,6/56/0/7;E/4,3/46/1/7
40:V/2,3/51/0/28;E/4,2/53/0/28
41:V/3,5/55/0/7;V/2,3/57/0/28;E/4,5/56/0/7;E/4,2/58/0/28;E/4,3/59/7/28
43:V/3,1/60/0/1;V/2,3/61/0/28;E/4,1/62/0/1;E/4,2/63/0/28;E/4,3/64/1/28
44:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
47:V/3,1/65/0/1;V/6,3/66/0/7;E/4,1/67/0/1;E/4,6/68/0/7;E/4,3/69/1/7
50:V/3,5/66/0/7;V/2,3/51/0/28;E/4,5/68/0/7;E/4,2/53/0/28;E/4,3/70/7/28
51:V/3,1/71/0/1;V/9,3/43/0/18;E/4,1/72/0/1;E/4,9/45/0/18;E/4,3/73/1/18
52:V/3,8/43/0/18;V/2,3/47/0/28;E/4,8/45/0/18;E/4,2/48/0/28;E/4,3/49/18/28
56:V/3,1/74/0/1;V/7,3/75/0/5;E/4,1/76/0/1;E/4,7/77/0/5;E/4,3/78/1/5
59:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
61:V/3,1/82/0/1;V/2,3/83/0/20;E/4,1/84/0/1;E/4,2/85/0/20;E/4,3/86/1/20
67:V/2,3/83/0/20;E/4,2/85/0/20
68:V/3,1/87/0/1;V/2,3/88/0/20;E/4,1/89/0/1;E/4,2/90/0/20;E/4,3/91/1/20
70:V/3,1/92/0/1;V/2,3/93/0/20;E/4,1/94/0/1;E/4,2/95/0/20;E/4,3/96/1/20
71:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
77:V/3,1/97/0/1;V/2,3/83/0/20;E/4,1/98/0/1;E/4,2/85/0/20;E/4,3/99/1/20
78:V/3,1/100/0/1;V/9,3/75/0/5;E/4,1/101/0/1;E/4,9/77/0/5;E/4,3/102/1/5
79:V/3,8/75/0/5;V/2,3/79/0/20;E/4,8/77/0/5;E/4,2/80/0/20;E/4,3/81/5/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;9697651/25000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,7;1567519/6250000;2,25,0,61,0,1279;2,25,0,63,0,1031
1;C;7,10;2812381/12500000;2,22,0,63,0,431;2,22,0,63,0,431
1;C;10,12;20520911/100000000;2,20,0,63,0,31;4,2052,0,6359,0,603119
1;L;12,13;20520911/100000000,20627229/100000000;4,2052,0,6359,0,603119;4,2062,0,6409,0,164719
1;L;13,14;20627229/100000000,2070297/10000000;4,2062,0,6409,0,164719;4,2070,0,6429,0,67959
2;C;0,2;9697651/25000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,7;1567519/6250000;2,25,0,61,0,1279;2,25,0,63,0,1031
3;C;7,10;2812381/12500000;2,22,0,63,0,431;2,22,0,63,0,431
3;C;10,12;20520911/100000000;2,20,0,63,0,31;4,2052,0,6359,0,603119
3;L;12,13;20520911/100000000,20627229/100000000;4,2052,0,6359,0,603119;4,2062,0,6409,0,164719
3;L;13,14;20627229/100000000,2070297/10000000;4,2062,0,6409,0,164719;4,2070,0,6429,0,67959
4;C;2,3;38439453/100000000;2,38,61,61,0,158;2,38,62,56,0,620
4;C;3,5;36839221/100000000;2,36,62,56,0,220;2,36,62,54,0,440
4;L;5,6;36839221/100000000,29725321/100000000;2,36,62,54,0,440;2,29,62,39,0,435
4;L;6,7;29725321/100000000,1567519/6250000;2,29,62,39,0,435;2,25,63,24,0,455
4;C;7,8;25015607/100000000;2,25,63,24,0,455;2,25,63,23,0,502
4;C;8,9;2266287/10000000;4,2266,6209,2277,0,1583590;2,22,63,8,0,367
4;C;9,11;20935719/100000000;4,2093,6256,787,0,2103095;4,2093,6309,0,0,2056519
4;C;11,12;20520911/100000000;4,2052,6309,0,0,1236519;4,2052,6359,0,0,603119
4;L;12,13;20520911/100000000,20627229/100000000;4,2052,6359,0,0,603119;4,2062,6409,0,0,164719
4;L;13,14;20627229/100000000,2070297/10000000;4,2062,6409,0,0,164719;4,2070,6429,0,0,67959
5;C;0,1;9697651/25000000;2,38,0,0,61,158;2,38,0,0,61,158
6;C;0,3;38439453/100000000;2,38,0,0,61,158;4,3843,0,0,6107,2269102
7;C;0,1;9697651/25000000;2,38,0,0,61,158;2,38,0,0,61,158
8;C;0,3;38439453/100000000;2,38,0,0,61,158;4,3843,0,0,6107,2269102
9;C;1,3;38439453/100000000;2,38,0,0,61,158;4,3843,0,0,6107,2269102
10;C;0,14;20520911/100000000;2,20,0,0,13,3662;2,20,0,0,13,3662
11;C;0,14;20520911/100000000;2,20,0,0,12,3712;2,20,0,0,13,3662
12;C;3,4;37956773/100000000;4,3795,0,0,6107,1309102;4,3795,0,0,6066,2307288
12;C;4,5;36839221/100000000;4,3683,0,0,6066,67288;2,36,0,0,60,0
12;L;5,6;36839221/100000000,29725321/100000000;2,36,0,0,60,0;4,2972,0,0,5320,2835200
12;L;6,7;29725321/100000000,1567519/6250000;4,2972,0,0,5320,2835200;2,25,0,0,46,768
12;C;7,8;25015607/100000000;2,25,0,0,46,768;2,25,0,0,46,768
12;C;8,11;20935719/100000000;4,2093,0,0,4574,17048;2,20,0,0,31,2078
12;C;11,14;20520911/100000000;2,20,0,0,31,2078;2,20,0,0,13,3662
13;C;0,9;2266287/10000000;2,22,8,61,0,615;2,22,8,63,0,367
14;C;0,9;2266287/10000000;2,22,6,61,0,643;2,22,8,63,0,367
15;C;0,14;20520911/100000000;2,20,7,9,0,3870;2,20,7,10,0,3851
16;C;0,14;20520911/100000000;2,20,6,7,0,3915;2,20,10,7,0,3851
17;C;9,14;20520911/100000000;4,2052,787,6256,0,1283095;2,20,10,7,0,3851
18;L;0,1;9697651/25000000,9786721/25000000;4,3879,0,2032,6059,28014;10,3914688400,0,2041295478,6087975038,644874548628
19;C;0,3;38439453/100000000;4,3843,0,1507,6059,1165989;10,3843945300,0,1518517859,6106267613,1188752620581
20;L;0,1;9697651/25000000,9786721/25000000;8,38790604,0,20391775,60590000,112349375;10,3914688400,0,2041295478,6087975038,644874548628
21;C;0,3;38439453/100000000;4,3843,0,1475,6059,1261413;10,3843945300,0,1518517859,6106267613,1188752620581
22;L;1,2;9786721/25000000,19503709/50000000;10,3914688400,0,2041295478,6087975038,644874548628;10,3900741800,0,1952505212,6091081909,1752818666494
22;L;2,3;19503709/50000000,38439453/100000000;10,3900741800,0,1952505212,6091081909,1752818666494;10,3843945300,0,1518517859,6106267613,1188752620581
23;C;0,14;20520911/100000000;2,20,0,25,13,3037;2,20,0,26,13,2986
24;C;0,14;20520911/100000000;2,20,0,23,12,3183;2,20,0,26,13,2986
25;L;3,4;38439453/100000000,37956773/100000000;10,3843945300,1518517859,0,6106267613,1188752620581;10,3795677300,1527438350,0,6065495739,967294965258
25;L;4,5;37956773/100000000,36839221/100000000;10,3795677300,1527438350,0,6065495739,967294965258;10,3683922100,1548338396,0,5969970274,66584877032
25;L;5,6;36839221/100000000,29725321/100000000;10,3683922100,1548338396,0,5969970274,66584877032;8,29725321,16906746,0,53194107,100636586
25;L;6,7;29725321/100000000,1567519/6250000;8,29725321,16906746,0,53194107,100636586;2,25,19,0,46,407
25;C;7,8;25015607/100000000;2,25,19,0,46,407;2,25,19,0,46,407
25;C;8,9;2266287/10000000;4,2266,1854,0,4574,39732;2,22,21,0,39,917
25;C;9,11;20935719/100000000;2,20,21,0,39,517;2,20,22,0,31,1594
25;C;11,14;20520911/100000000;2,20,22,0,31,1594;2,20,26,0,13,2986
26;C;0,1;9697651/25000000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;9697651/25000000;2,38,61,61,0,158;2,38,61,61,0,158
28;C;1,2;19503709/50000000;2,39,61,61,0,358;2,39,61,61,0,358
29;C;0,1;9697651/25000000;2,38,0,61,30,2079;2,38,0,61,30,2079
30;C;0,9;2266287/10000000;2,22,0,61,1,677;2,22,0,63,1,429
31;C;0,1;9697651/25000000;2,38,0,61,30,2079;2,38,0,61,30,2079
32;C;0,9;2266287/10000000;2,22,0,61,0,679;2,22,0,63,1,429
33;C;1,5;36839221/100000000;2,36,61,0,30,1679;2,36,62,0,25,2106
33;C;5,7;1567519/6250000;4,2508,6116,0,2443,818046;2,25,63,0,9,869
33;C;7,9;2266287/10000000;2,22,63,0,9,269;2,22,63,0,1,429
34;C;0,14;20520911/100000000;2,20,0,7,0,3951;2,20,0,7,0,3951
35;C;0,14;20520911/100000000;2,20,0,7,0,3951;2,20,0,7,0,3951
36;C;9,14;20520911/100000000;2,20,0,63,1,29;2,20,0,7,0,3951
37;C;0,1;9697651/25000000;2,38,0,61,41,517;2,38,0,61,41,517
38;C;0,7;1567519/6250000;2,25,0,61,0,1279;2,25,0,63,0,1031
38;C;7,10;2812381/12500000;2,22,0,63,0,431;2,22,0,63,0,431
38;C;10,12;20520911/100000000;2,20,0,63,0,31;4,2052,0,6359,0,603119
38;L;12,13;20520911/100000000,20627229/100000000;4,2052,0,6359,0,603119;4,2062,0,6409,0,164719
38;L;13,14;20627229/100000000,2070297/10000000;4,2062,0,6409,0,164719;4,2070,0,6429,0,67959
39;C;0,1;9697651/25000000;2,38,0,61,41,517;2,38,0,61,41,517
40;C;0,7;1567519/6250000;2,25,0,61,0,1279;2,25,0,63,0,1031
40;C;7,10;2812381/12500000;2,22,0,63,0,431;2,22,0,63,0,431
40;C;10,12;20520911/100000000;2,20,0,63,0,31;4,2052,0,6359,0,603119
40;L;12,13;20520911/100000000,20627229/100000000;4,2052,0,6359,0,603119;4,2062,0,6409,0,164719
40;L;13,14;20627229/100000000,2070297/10000000;4,2062,0,6409,0,164719;4,2070,0,6429,0,67959
41;C;1,4;37956773/100000000;2,37,61,0,41,317;2,37,62,0,38,668
41;C;4,5;36839221/100000000;2,36,62,0,38,468;2,36,62,0,37,618
41;L;5,6;36839221/100000000,29725321/100000000;2,36,62,0,37,618;2,29,62,0,31,34
41;L;6,7;29725321/100000000,1567519/6250000;2,29,62,0,31,34;10,2508030400,6207922954,0,2410632723,346803124426
41;L;7,8;1567519/6250000,25015607/100000000;10,2508030400,6207922954,0,2410632723,346803124426;10,2501560700,6209000000,0,2395780965,135487337550
41;L;8,9;25015607/100000000,2266287/10000000;10,2501560700,6209000000,0,2395780965,135487337550;8,22662870,62550573,0,17606813,89337733
41;L;9,10;2266287/10000000,2812381/12500000;8,22662870,62550573,0,17606813,89337733;8,22499048,62590000,0,17063140,6680800
41;L;10,11;2812381/12500000,20935719/100000000;8,22499048,62590000,0,17063140,6680800;8,20935719,63090000,0,10168471,95044318
41;L;11,12;20935719/100000000,20520911/100000000;8,20935719,63090000,0,10168471,95044318;4,2052,6359,0,328,387951
41;L;12,13;20520911/100000000,20627229/100000000;4,2052,6359,0,328,387951;4,2062,6409,0,0,164719
41;L;13,14;20627229/100000000,2070297/10000000;4,2062,6409,0,0,164719;4,2070,6429,0,0,67959
42;C;0,1;9697651/25000000;2,38,20,61,0,3479;2,38,20,61,0,3479
43;C;0,9;2266287/10000000;2,22,0,61,0,679;2,22,0,63,0,431
43;C;9,11;20935719/100000000;2,20,0,63,0,31;4,2093,0,6309,0,2056519
43;C;11,12;20520911/100000000;4,2052,0,6309,0,1236519;4,2052,0,6359,0,603119
43;L;12,13;20520911/100000000,20627229/100000000;4,2052,0,6359,0,603119;4,2062,0,6409,0,164719
43;L;13,14;20627229/100000000,2070297/10000000;4,2062,0,6409,0,164719;4,2070,0,6429,0,67959
43;L;14,15;2070297/10000000,5215427/25000000;4,2070,0,6429,0,67959;4,2086,0,6459,0,1319
43;L;15,16;5215427/25000000,21183541/100000000;4,2086,0,6459,0,1319;8,21183541,0,65090000,0,100000000
43;L;16,17;21183541/100000000,21510241/100000000;8,21183541,0,65090000,0,100000000;8,21510241,0,65590000,0,100000000
43;L;17,18;21510241/100000000,21678559/100000000;8,21510241,0,65590000,0,100000000;8,21678559,0,65846121,0,149253359
44;C;0,1;9697651/25000000;2,38,61,20,0,3479;2,38,61,20,0,3479
45;C;0,9;2266287/10000000;2,22,0,61,0,679;2,22,0,63,0,431
45;C;9,11;20935719/100000000;2,20,0,63,0,31;4,2093,0,6309,0,2056519
45;C;11,12;20520911/100000000;4,2052,0,6309,0,1236519;4,2052,0,6359,0,603119
45;L;12,13;20520911/100000000,20627229/100000000;4,2052,0,6359,0,603119;4,2062,0,6409,0,164719
45;L;13,14;20627229/100000000,2070297/10000000;4,2062,0,6409,0,164719;4,2070,0,6429,0,67959
45;L;14,15;2070297/10000000,5215427/25000000;4,2070,0,6429,0,67959;4,2086,0,6459,0,1319
45;L;15,16;5215427/25000000,21183541/100000000;4,2086,0,6459,0,1319;8,21183541,0,65090000,0,100000000
45;L;16,17;21183541/100000000,21510241/100000000;8,21183541,0,65090000,0,100000000;8,21510241,0,65590000,0,100000000
45;L;17,18;21510241/100000000,21678559/100000000;8,21510241,0,65590000,0,100000000;8,21678559,0,65846121,0,149253359
46;C;1,9;2266287/10000000;2,22,61,20,0,279;2,22,63,1,0,430
46;C;9,11;20935719/100000000;2,20,63,1,0,30;4,2093,6309,0,0,2056519
46;C;11,12;20520911/100000000;4,2052,6309,0,0,1236519;4,2052,6359,0,0,603119
46;L;12,13;20520911/100000000,20627229/100000000;4,2052,6359,0,0,603119;4,2062,6409,0,0,164719
46;L;13,14;20627229/100000000,2070297/10000000;4,2062,6409,0,0,164719;4,2070,6429,0,0,67959
46;L;14,15;2070297/10000000,5215427/25000000;4,2070,6429,0,0,67959;4,2086,6459,0,0,1319
46;L;15,16;5215427/25000000,21183541/100000000;4,2086,6459,0,0,1319;8,21183541,65090000,0,0,100000000
46;L;16,17;21183541/100000000,21510241/100000000;8,21183541,65090000,0,0,100000000;8,21510241,65590000,0,0,100000000
46;L;17,18;21510241/100000000,21678559/100000000;8,21510241,65590000,0,0,100000000;8,21678559,65846121,0,0,149253359
47;C;0,28;6198691/100000000;2,6,0,31,0,239;8,6198691,0,35209915,0,85692775
48;C;0,14;20520911/100000000;2,20,0,44,0,2064;2,20,0,41,0,2319
48;C;14,21;17960699/100000000;2,17,0,41,0,1719;2,17,0,38,0,1956
48;C;21,24;2305331/20000000;2,11,0,38,0,756;2,11,0,37,0,831
48;C;24,26;401337/5000000;2,8,0,37,0,231;2,8,0,36,0,304
48;C;26,27;6513617/100000000;4,651,0,3576,0,232224;4,651,0,3531,0,552039
48;L;27,28;6513617/100000000,6198691/100000000;4,651,0,3531,0,552039;8,6198691,0,35209915,0,85692775
49;L;18,19;21678559/100000000,510529/2500000;8,21678559,0,65846121,0,149253359;10,2042116000,0,6390799623,0,178663057871
49;L;19,20;510529/2500000,4862069/25000000;10,2042116000,0,6390799623,0,178663057871;10,1944827600,0,6236710029,0,14170819159
49;L;20,21;4862069/25000000,17960699/100000000;10,1944827600,0,6236710029,0,14170819159;10,1796069900,0,5993446237,0,204190539831
49;L;21,22;17960699/100000000,978633/6250000;10,1796069900,0,5993446237,0,204190539831;8,15658128,0,55960929,0,25456959
49;L;22,23;978633/6250000,13513447/100000000;8,15658128,0,55960929,0,25456959;8,13513447,0,51987395,0,161113975
49;L;23,24;13513447/100000000,2305331/20000000;8,13513447,0,51987395,0,161113975;8,11526655,0,48013861,0,151872679
49;L;24,25;2305331/20000000,1212219/12500000;8,11526655,0,48013861,0,151872679;10,969775200,0,4404032694,0,30179102364
49;L;25,26;1212219/12500000,401337/5000000;10,969775200,0,4404032694,0,30179102364;8,8026740,0,40066794,0,18561564
49;L;26,27;401337/5000000,6513617/100000000;8,8026740,0,40066794,0,18561564;10,651361700,0,3609325922,0,388778849916
49;L;27,28;6513617/100000000,6198691/100000000;10,651361700,0,3609325922,0,388778849916;8,6198691,0,35209915,0,85692775
50;C;0,1;9697651/25000000;2,38,0,0,43,3902;2,38,0,0,43,3902
51;C;0,28;6198691/100000000;2,6,0,0,0,1200;2,6,0,0,0,1200
52;C;0,1;9697651/25000000;2,38,0,0,43,3902;2,38,0,0,43,3902
53;C;0,28;6198691/100000000;2,6,0,0,0,1200;2,6,0,0,0,1200
54;C;1,14;20520911/100000000;2,20,0,0,43,302;2,20,0,0,26,2648
54;C;14,21;17960699/100000000;2,17,0,0,26,2048;2,17,0,0,15,2950
54;C;21,28;6198691/100000000;2,6,0,0,15,750;2,6,0,0,0,1200
55;C;0,7;1567519/6250000;2,25,6,61,0,1243;2,25,6,63,0,995
56;C;0,7;1567519/6250000;2,25,5,61,0,1254;2,25,6,63,0,995
57;C;0,28;6198691/100000000;2,6,0,7,0,1151;2,6,0,8,0,1136
58;C;0,28;6198691/100000000;2,6,0,0,0,1200;2,6,8,0,0,1136
59;C;7,17;20520911/100000000;4,2052,585,6208,0,2158511;2,20,7,25,0,3326
59;C;17,28;6198691/100000000;2,6,7,25,0,526;2,6,8,0,0,1136
60;C;0,1;9697651/25000000;2,38,0,14,43,3706;2,38,0,14,43,3706
61;C;0,28;6198691/100000000;2,6,0,20,0,800;2,6,0,23,0,671
62;C;0,1;9697651/25000000;2,38,0,14,43,3706;2,38,0,14,43,3706
63;C;0,28;6198691/100000000;2,6,0,14,0,1004;2,6,0,23,0,671
64;C;1,14;20520911/100000000;2,20,14,0,43,106;2,20,18,0,26,2324
64;C;14,21;17960699/100000000;2,17,18,0,26,1724;2,17,20,0,15,2550
64;C;21,28;6198691/100000000;2,6,20,0,15,350;2,6,23,0,0,671
65;C;0,1;9697651/25000000;2,38,0,61,8,3751;2,38,0,61,8,3751
66;C;0,7;1567519/6250000;2,25,0,61,1,1277;2,25,0,63,1,1029
67;C;0,1;9697651/25000000;2,38,0,61,8,3751;2,38,0,61,8,3751
68;C;0,7;1567519/6250000;2,25,0,61,0,1279;2,25,0,63,1,1029
69;C;1,7;1567519/6250000;2,25,61,0,8,1151;2,25,63,0,1,1029
70;C;7,17;20520911/100000000;2,20,0,63,1,29;2,20,0,25,0,3375
70;C;17,28;6198691/100000000;2,6,0,25,0,575;2,6,0,0,0,1200
71;C;0,1;9697651/25000000;2,38,0,61,19,3157;2,38,0,61,20,3079
72;C;0,1;9697651/25000000;2,38,0,61,19,3157;2,38,0,61,20,3079
73;C;1,9;2266287/10000000;4,2266,6088,0,1909,967694;2,22,63,0,11,189
73;C;9,11;20935719/100000000;4,2093,6256,0,1072,424096;4,2093,6309,0,801,773317
73;L;11,12;20935719/100000000,20520911/100000000;4,2093,6309,0,801,773317;8,20520911,63590000,0,5499730,39854200
73;L;12,13;20520911/100000000,20627229/100000000;8,20520911,63590000,0,5499730,39854200;8,20627229,64090000,0,2993120,165331200
73;L;13,14;20627229/100000000,2070297/10000000;8,20627229,64090000,0,2993120,165331200;8,20702970,64283954,0,2020790,73677684
73;L;14,15;2070297/10000000,5215427/25000000;8,20702970,64283954,0,2020790,73677684;8,20861708,64590000,0,486510,116039800
73;L;15,16;5215427/25000000,21183541/100000000;8,20861708,64590000,0,486510,116039800;8,21183541,65090000,0,0,100000000
73;L;16,17;21183541/100000000,21510241/100000000;8,21183541,65090000,0,0,100000000;8,21510241,65590000,0,0,100000000
73;L;17,18;21510241/100000000,21678559/100000000;8,21510241,65590000,0,0,100000000;8,21678559,65846121,0,0,149253359
74;C;0,1;9697651/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,5;36839221/100000000;2,36,0,61,0,3479;2,36,0,62,0,3356
76;C;0,1;9697651/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,5;36839221/100000000;2,36,0,61,0,3479;2,36,0,62,0,3356
78;C;1,5;36839221/100000000;2,36,61,0,0,3479;2,36,62,0,0,3356
79;C;0,20;4862069/25000000;2,19,0,25,0,3175;2,19,0,27,0,3071
80;C;0,20;4862069/25000000;2,19,0,32,0,2776;2,19,0,27,0,3071
81;C;5,20;4862069/25000000;4,1944,0,6116,0,1474544;2,19,0,27,0,3071
82;C;0,1;9697651/25000000;2,38,0,0,21,6718;2,38,0,0,22,6632
83;C;0,20;4862069/25000000;2,19,0,0,0,3800;2,19,0,0,0,3800
84;C;0,1;9697651/25000000;2,38,0,0,21,6718;2,38,0,0,22,6632
85;C;0,20;4862069/25000000;2,19,0,0,0,3800;2,19,0,0,0,3800
86;C;1,20;4862069/25000000;2,19,0,0,22,2832;2,19,0,0,0,3800
87;C;0,1;9697651/25000000;2,38,5,33,0,6486;2,38,5,33,0,6486
88;C;0,20;4862069/25000000;2,19,0,6,0,3764;2,19,0,6,0,3764
89;C;0,1;9697651/25000000;2,38,5,33,0,6486;2,38,5,33,0,6486
90;C;0,20;4862069/25000000;2,19,1,0,0,3799;2,19,6,0,0,3764
91;C;1,20;4862069/25000000;2,19,5,33,0,2686;2,19,6,0,0,3764
92;C;0,1;9697651/25000000;2,38,0,14,21,6522;2,38,0,14,22,6436
93;C;0,20;4862069/25000000;2,19,0,16,0,3544;2,19,0,17,0,3511
94;C;0,1;9697651/25000000;2,38,0,13,21,6549;2,38,0,14,22,6436
95;C;0,20;4862069/25000000;2,19,0,12,0,3656;2,19,0,17,0,3511
96;C;1,20;4862069/25000000;2,19,14,0,22,2636;2,19,17,0,0,3511
97;C;0,1;9697651/25000000;2,38,0,33,0,6511;2,38,0,33,0,6511
98;C;0,1;9697651/25000000;2,38,0,33,0,6511;2,38,0,33,0,6511
99;C;1,20;4862069/25000000;2,19,0,33,0,2711;2,19,0,0,0,3800
100;C;0,1;9697651/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;9697651/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,5;36839221/100000000;2,36,61,0,0,3479;2,36,62,0,0,3356
MASS SLACK NUMERATOR 78357789878810318819964088418558193443037184886097734038305558319557964105626828211422696735437768406891210858648826181

BIN 19: PPC; (155/114,311/228]; gamma0=6063/10000; mass ceiling=49646941/50000000.
GAMMA 0=6063/10000;1=279690075000/460186749539;2=7217083125000/11869785144289;3=531501075000/872059062103;4=3599398425000/5900614949657;5=6113/10000;6=6163/10000;7=3344289900000/5399065594007;8=6213/10000;9=613939200000/984279144683;10=6263/10000;11=6313/10000;12=6363/10000;13=142992675000/223290155339;14=6413/10000;15=6463/10000;16=6513/10000;17=2710865325000/4132216444007;18=6563/10000;19=114214275000/172757359057;20=6613/10000;21=6663/10000;22=6713/10000;23=6763/10000;24=6813/10000;25=6863/10000;26=6913/10000;27=177167025000/255140649539;28=6963/10000;29=7013/10000;30=7063/10000;31=7113/10000;32=7163/10000;33=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38659277,38839928;1,2,38839928,38727721;2,3,38727721,38177047;3,4,38177047,37196397;4,5,37196397,34839021;5,6,34839021,26663374;6,7,26663374,24541311;7,8,24541311,23463372;8,9,23463372,22287056;9,10,22287056,21330465;10,11,21330465,20330172;11,12,20330172,20386321;12,13,20386321,20532741;13,14,20532741,20577648;14,15,20577648,20885185;15,16,20885185,21209585;16,17,21209585,21518886;17,18,21518886,21374431;18,19,21374431,18858708;19,20,18858708,18770622;20,21,18770622,16335875;21,22,16335875,14070188;22,23,14070188,11973562;23,24,11973562,10045998;24,25,10045998,8287494;25,26,8287494,6698052;26,27,6698052,5800400;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;5094065515757/1332799650000,5/13,460186749539/205046100000;-8673051470638147
1;0,6,7;8/13,1,7;-2
3;0,3,7;289/988,3,1;-2
4;2,3,7;568/247,49/26,53/76;-121
5;2,3,8;6079/2964,56/39,53/76;-61
8;1,3,6;116/741,75/26,311/228;-116
9;1,4,10;4146479138957/888533100000,31/26,460186749539/205046100000;-6793462220638147
10;0,10;4/13,1;-1
12;0,2,10;5/6,1,1;-1
13;2,3,10;140/57,1/3,53/76;-1
17;2,3,8;6079/2964,56/39,53/76;-61
19;0,3,13;973/1482,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;15/13,79/13,311/26;-5
25;2,3,8;6079/2964,56/39,53/76;-61
26;1,3,12;517/1482,40/13,311/228;-517
27;0,1,7;8/13,2,1;-1
28;0,6,7;21/13,1,7;-2
30;0,3,7;289/988,3,1;-2
31;2,3,7;815/247,49/26,197/228;-116
33;1,4,7;2168570284007/533119860000,93/26,460186749539/205046100000;-1496437970638147
35;1,3,6;116/741,75/26,311/228;-116
36;1,4,10;5640684244007/888533100000,5/26,460186749539/205046100000;-11236127720638147
37;0,10;4/13,1;-1
39;0,2,10;1,1,1;-1
42;1,4,10;2168570284007/533119860000,93/26,460186749539/205046100000;-1496437970638147
45;1,4,13;5298940744007/888533100000,5/13,460186749539/205046100000;-8673051470638147
46;0,3,13;973/1482,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;15/13,66/13,259/26;-5
53;1,3,12;517/1482,40/13,311/228;-517
54;0,1,7;21/13,2,1;-1
55;0,6,7;34/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;1062/247,31/13,127/114;-116
60;0,1,12;1/2,3,1;-1
62;1,3,6;116/741,75/26,311/228;-116
63;0,1,10;21/26,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;2475189730591/333199912500,9/13,460186749539/205046100000;-5939103470638147
66;0,1,12;1/2,3,1;-1
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;973/1482,2,1;-1
74;1,4,6;2475189730591/333199912500,9/13,460186749539/205046100000;-5939103470638147
75;0,7,13;49/13,1,6;-2
76;1,12,13;15/13,53/13,207/26;-5
80;1,3,12;517/1482,40/13,311/228;-517
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;67290677711227828,774691385753266149438900000,1928336300550956,98572
6;1,4,12,3;515925053423268,6506323211064960164700000,702155297227612,2356
7;11,4,2,3;702155297227612,54201401067532011495300000,1928336300550956,6916
11;8,4,6,3;67290677711227828,1245999575629029239840981250,127235291428145511,1899677
14;5,4,2,3;127235291428145511,72261747458581153019793750,1928336300550956,37829
15;1,4,12,3;515925053423268,6506323211064960164700000,702155297227612,2356
16;11,4,2,3;702155297227612,54201401067532011495300000,1928336300550956,6916
18;1,4,13,3;515925053423268,14509029868494482141100000,67290677711227828,4636
20;1,4,6,3;515925053423268,151625933335461465401456250,127235291428145511,224409
23;5,4,2,3;127235291428145511,72261747458581153019793750,1928336300550956,37829
24;1,4,2,3;515925053423268,93430895833800000000000000,1928336300550956,11552
29;1,4,7,3;515925053423268,381791329594013378569320000,6091093951757196876,703608
32;8,4,2,3;6091093951757196876,87312118062079689430680000,17081189380223268,310080
34;1,4,2,3;515925053423268,70073171875350000000000000,17081189380223268,25992
38;1,4,6,3;515925053423268,13729828741097351055075000,47717995356349929,55461
41;5,4,2,3;47717995356349929,43978931956847141444925000,17081189380223268,197961
43;1,4,2,3;515925053423268,70073171875350000000000000,17081189380223268,25992
44;8,4,2,3;6091093951757196876,87312118062079689430680000,17081189380223268,310080
47;1,4,6,3;515925053423268,13729828741097351055075000,47717995356349929,55461
50;5,4,2,3;47717995356349929,43978931956847141444925000,17081189380223268,197961
51;1,4,9,3;515925053423268,381791329594013378569320000,6091093951757196876,703608
52;8,4,2,3;6091093951757196876,87312118062079689430680000,17081189380223268,310080
56;1,4,7,3;515925053423268,17410835842193378569320000,647799421520561076,27816
59;8,4,2,3;647799421520561076,95480703311244166104840000,3599165517421542,239514
61;1,4,2,3;515925053423268,17518292968837500000000000,3599165517421542,6498
68;1,4,2,3;515925053423268,17518292968837500000000000,3599165517421542,6498
70;1,4,2,3;515925053423268,17518292968837500000000000,3599165517421542,6498
71;8,4,2,3;647799421520561076,95480703311244166104840000,3599165517421542,239514
77;1,4,2,3;515925053423268,17518292968837500000000000,3599165517421542,6498
78;1,4,9,3;515925053423268,17410835842193378569320000,647799421520561076,27816
79;8,4,2,3;647799421520561076,95480703311244166104840000,3599165517421542,239514
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/13;E/4,5/2/0/2;E/4,2/3/0/13;E/4,3/4/2/13
6:V/3,1/5/0/1;V/12,3/6/0/3;E/4,1/7/0/1;E/4,12/8/0/3;E/4,3/9/1/3
7:V/3,11/6/0/3;V/2,3/10/0/13;E/4,11/8/0/3;E/4,2/11/0/13;E/4,3/12/3/13
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/13;E/4,5/14/0/9;E/4,2/16/0/13;E/4,3/17/9/13
15:V/3,1/18/0/1;V/12,3/19/0/3;E/4,1/20/0/1;E/4,12/21/0/3;E/4,3/22/1/3
16:V/3,11/19/0/3;V/2,3/23/0/13;E/4,11/21/0/3;E/4,2/24/0/13;E/4,3/25/3/13
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/13;E/4,5/32/0/9;E/4,2/35/0/13;E/4,3/36/9/13
24:V/3,1/37/0/1;V/2,3/38/0/13;E/4,1/39/0/1;E/4,2/40/0/13;E/4,3/41/1/13
29:V/3,1/42/0/1;V/7,3/43/0/17;E/4,1/44/0/1;E/4,7/45/0/17;E/4,3/46/1/17
32:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
34:V/3,1/50/0/1;V/2,3/51/0/27;E/4,1/52/0/1;E/4,2/53/0/27;E/4,3/54/1/27
38:V/3,1/42/0/1;V/6,3/55/0/7;E/4,1/44/0/1;E/4,6/56/0/7;E/4,3/46/1/7
40:V/2,3/51/0/27;E/4,2/53/0/27
41:V/3,5/55/0/7;V/2,3/57/0/27;E/4,5/56/0/7;E/4,2/58/0/27;E/4,3/59/7/27
43:V/3,1/60/0/1;V/2,3/61/0/27;E/4,1/62/0/1;E/4,2/63/0/27;E/4,3/64/1/27
44:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
47:V/3,1/65/0/1;V/6,3/66/0/7;E/4,1/67/0/1;E/4,6/68/0/7;E/4,3/69/1/7
50:V/3,5/66/0/7;V/2,3/51/0/27;E/4,5/68/0/7;E/4,2/53/0/27;E/4,3/70/7/27
51:V/3,1/71/0/1;V/9,3/43/0/17;E/4,1/72/0/1;E/4,9/45/0/17;E/4,3/73/1/17
52:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
56:V/3,1/74/0/1;V/7,3/75/0/4;E/4,1/76/0/1;E/4,7/77/0/4;E/4,3/78/1/4
59:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/4;E/4,1/101/0/1;E/4,9/77/0/4;E/4,3/102/1/4
79:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;38659277/100000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,6;13331687/50000000;2,26,0,61,0,1479;2,26,0,62,0,1356
1;C;6,9;1392941/6250000;2,22,0,62,0,556;2,22,0,63,0,431
1;C;9,11;5082543/25000000;2,20,0,63,0,31;4,2033,0,6313,0,806031
1;C;11,12;5082543/25000000;4,2033,0,6313,0,806031;4,2033,0,6363,0,172231
1;L;12,13;20386321/100000000,20532741/100000000;4,2038,0,6363,0,272231;4,2053,0,6404,0,48784
2;C;0,2;38659277/100000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,6;13331687/50000000;2,26,0,61,0,1479;2,26,0,62,0,1356
3;C;6,9;1392941/6250000;2,22,0,62,0,556;2,22,0,63,0,431
3;C;9,11;5082543/25000000;2,20,0,63,0,31;4,2033,0,6313,0,806031
3;C;11,12;5082543/25000000;4,2033,0,6313,0,806031;4,2033,0,6363,0,172231
3;L;12,13;20386321/100000000,20532741/100000000;4,2038,0,6363,0,272231;4,2053,0,6404,0,48784
4;C;2,4;37196397/100000000;4,3719,6081,6081,0,422878;2,37,62,55,0,531
4;C;4,5;34839021/100000000;4,3483,6101,5402,0,3256195;2,34,62,50,0,456
4;L;5,6;34839021/100000000,13331687/50000000;2,34,62,50,0,456;2,26,62,33,0,267
4;C;6,7;24541311/100000000;4,2454,6163,3247,0,554422;2,24,62,22,0,472
4;C;7,8;5865843/25000000;2,23,62,22,0,272;2,23,63,16,0,375
4;C;8,10;4266093/20000000;4,2133,6213,1536,0,1699335;2,21,63,0,0,231
4;C;10,11;5082543/25000000;2,20,63,0,0,31;4,2033,6313,0,0,806031
4;C;11,12;5082543/25000000;4,2033,6313,0,0,806031;4,2033,6363,0,0,172231
4;L;12,13;20386321/100000000,20532741/100000000;4,2038,6363,0,0,272231;4,2053,6404,0,0,48784
5;C;0,1;38659277/100000000;2,38,0,0,61,158;2,38,0,0,61,158
6;C;0,3;38177047/100000000;2,38,0,0,61,158;2,38,0,0,61,158
7;C;0,1;38659277/100000000;2,38,0,0,61,158;2,38,0,0,61,158
8;C;0,3;38177047/100000000;2,38,0,0,61,158;2,38,0,0,61,158
9;C;1,3;38177047/100000000;2,38,0,0,61,158;2,38,0,0,61,158
10;C;0,13;5082543/25000000;2,20,0,0,12,3712;2,20,0,0,13,3662
11;C;0,13;5082543/25000000;2,20,0,0,11,3758;2,20,0,0,13,3662
12;C;3,4;37196397/100000000;4,3719,0,0,6095,81950;4,3719,0,0,6012,2091712
12;L;4,5;37196397/100000000,34839021/100000000;4,3719,0,0,6012,2091712;4,3483,0,0,5807,2217502
12;L;5,6;34839021/100000000,13331687/50000000;4,3483,0,0,5807,2217502;4,2666,0,0,5016,2999488
12;L;6,7;13331687/50000000,24541311/100000000;4,2666,0,0,5016,2999488;2,24,0,0,46,568
12;C;7,8;5865843/25000000;2,23,0,0,46,368;2,23,0,0,43,902
12;C;8,13;5082543/25000000;2,20,0,0,43,302;2,20,0,0,13,3662
13;C;0,9;1392941/6250000;2,22,7,61,0,630;2,22,7,63,0,382
14;C;0,9;1392941/6250000;2,22,6,61,0,643;2,22,7,63,0,382
15;C;0,13;5082543/25000000;2,20,6,8,0,3900;2,20,6,9,0,3883
16;C;0,13;5082543/25000000;2,20,5,6,0,3939;2,20,9,6,0,3883
17;C;9,13;5082543/25000000;4,2033,699,6238,0,1258755;2,20,9,6,0,3883
18;L;0,1;38659277/100000000,4854991/12500000;6,386592,0,194507,606300,151646951;8,38839928,0,19498017,60777516,30807199
19;C;0,3;38177047/100000000;4,3817,0,1429,6063,778021;10,3817704700,0,1435734269,6094783004,1377124507607
20;L;0,1;38659277/100000000,4854991/12500000;8,38659277,0,19490038,60630000,18758556;8,38839928,0,19498017,60777516,30807199
21;C;0,3;38177047/100000000;4,3817,0,1407,6063,840413;10,3817704700,0,1435734269,6094783004,1377124507607
22;L;1,2;4854991/12500000,38727721/100000000;8,38839928,0,19498017,60777516,30807199;8,38727721,0,18754842,60802138,130812948
22;L;2,3;38727721/100000000,38177047/100000000;8,38727721,0,18754842,60802138,130812948;10,3817704700,0,1435734269,6094783004,1377124507607
23;C;0,13;5082543/25000000;2,20,0,24,12,3136;2,20,0,26,13,2986
24;C;0,13;5082543/25000000;2,20,0,22,11,3274;2,20,0,26,13,2986
25;L;3,4;38177047/100000000,37196397/100000000;10,3817704700,1435734269,0,6094783004,1377124507607;10,3719639700,1453938338,0,6011607808,434880668028
25;L;4,5;37196397/100000000,34839021/100000000;10,3719639700,1453938338,0,6011607808,434880668028;8,34839021,14988227,0,58065296,52261239
25;L;5,6;34839021/100000000,13331687/50000000;8,34839021,14988227,0,58065296,52261239;4,2666,1672,0,5016,203904
25;L;6,7;13331687/50000000,24541311/100000000;4,2666,1672,0,5016,203904;2,24,18,0,46,244
25;C;7,8;5865843/25000000;2,23,18,0,46,44;2,23,19,0,43,541
25;C;8,13;5082543/25000000;4,2033,1846,0,4225,1551034;2,20,26,0,13,2986
26;C;0,1;38659277/100000000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;38659277/100000000;2,38,61,61,0,158;2,38,61,61,0,158
28;C;1,2;38727721/100000000;2,38,61,61,0,158;2,38,61,61,0,158
29;C;0,1;38659277/100000000;2,38,0,61,29,2197;2,38,0,61,29,2197
30;C;0,9;1392941/6250000;2,22,0,61,0,679;2,22,0,63,0,431
31;C;0,1;38659277/100000000;2,38,0,61,29,2197;2,38,0,61,29,2197
32;C;0,9;1392941/6250000;2,22,0,61,0,679;2,22,0,63,0,431
33;C;1,5;34839021/100000000;2,34,61,0,29,1397;2,34,62,0,22,1988
33;C;5,7;24541311/100000000;4,2454,6113,0,2193,2092733;2,24,62,0,7,858
33;C;7,9;1392941/6250000;2,22,62,0,7,458;2,22,63,0,0,431
34;C;0,13;5082543/25000000;2,20,0,6,0,3964;2,20,0,6,0,3964
35;C;0,13;5082543/25000000;2,20,0,6,0,3964;2,20,0,6,0,3964
36;C;9,13;5082543/25000000;2,20,0,63,0,31;2,20,0,6,0,3964
37;C;0,1;38659277/100000000;2,38,0,61,41,517;2,38,0,61,41,517
38;C;0,6;13331687/50000000;2,26,0,61,0,1479;2,26,0,62,0,1356
38;C;6,9;1392941/6250000;2,22,0,62,0,556;2,22,0,63,0,431
38;C;9,11;5082543/25000000;2,20,0,63,0,31;4,2033,0,6313,0,806031
38;C;11,12;5082543/25000000;4,2033,0,6313,0,806031;4,2033,0,6363,0,172231
38;L;12,13;20386321/100000000,20532741/100000000;4,2038,0,6363,0,272231;4,2053,0,6404,0,48784
39;C;0,1;38659277/100000000;2,38,0,61,41,517;2,38,0,61,41,517
40;C;0,6;13331687/50000000;2,26,0,61,0,1479;2,26,0,62,0,1356
40;C;6,9;1392941/6250000;2,22,0,62,0,556;2,22,0,63,0,431
40;C;9,11;5082543/25000000;2,20,0,63,0,31;4,2033,0,6313,0,806031
40;C;11,12;5082543/25000000;4,2033,0,6313,0,806031;4,2033,0,6363,0,172231
40;L;12,13;20386321/100000000,20532741/100000000;4,2038,0,6363,0,272231;4,2053,0,6404,0,48784
41;C;1,4;37196397/100000000;2,37,61,0,41,317;2,37,62,0,37,818
41;C;4,5;34839021/100000000;2,34,62,0,37,218;2,34,62,0,35,506
41;L;5,6;34839021/100000000,13331687/50000000;2,34,62,0,35,506;10,2666337400,6163000000,0,2769853648,537322184192
41;L;6,7;13331687/50000000,24541311/100000000;10,2666337400,6163000000,0,2769853648,537322184192;10,2454131100,6194201278,0,2314572574,126997195764
41;L;7,8;24541311/100000000,5865843/25000000;10,2454131100,6194201278,0,2314572574,126997195764;8,23463372,62130000,0,20402665,21795550
41;L;8,9;5865843/25000000,1392941/6250000;8,23463372,62130000,0,20402665,21795550;10,2228705600,6237450050,0,1683497535,973052845050
41;L;9,10;1392941/6250000,4266093/20000000;10,2228705600,6237450050,0,1683497535,973052845050;8,21330465,62630000,0,13106792,106937472
41;L;10,11;4266093/20000000,5082543/25000000;8,21330465,62630000,0,13106792,106937472;4,2033,6313,0,582,128583
41;C;11,12;5082543/25000000;4,2033,6313,0,582,128583;4,2033,6363,0,0,172231
41;L;12,13;20386321/100000000,20532741/100000000;4,2038,6363,0,0,272231;4,2053,6404,0,0,48784
42;C;0,1;38659277/100000000;2,38,19,61,0,3518;2,38,19,61,0,3518
43;C;0,8;5865843/25000000;2,23,0,61,0,879;2,23,0,63,0,631
43;C;8,12;5082543/25000000;2,20,0,63,0,31;4,2033,0,6363,0,172231
43;L;12,13;20386321/100000000,20532741/100000000;4,2038,0,6363,0,272231;4,2053,0,6404,0,48784
43;L;13,14;20532741/100000000,1286103/6250000;4,2053,0,6404,0,48784;4,2057,0,6413,0,13431
43;L;14,15;1286103/6250000,4177037/20000000;4,2057,0,6413,0,13431;8,20885185,0,64630000,0,100000000
43;L;15,16;4177037/20000000,4241917/20000000;8,20885185,0,64630000,0,100000000;8,21209585,0,65130000,0,100000000
43;L;16,17;4241917/20000000,10759443/50000000;8,21209585,0,65130000,0,100000000;8,21518886,0,65603179,0,105093959
44;C;0,1;38659277/100000000;2,38,61,19,0,3518;2,38,61,19,0,3518
45;C;0,8;5865843/25000000;2,23,0,61,0,879;2,23,0,63,0,631
45;C;8,12;5082543/25000000;2,20,0,63,0,31;4,2033,0,6363,0,172231
45;L;12,13;20386321/100000000,20532741/100000000;4,2038,0,6363,0,272231;4,2053,0,6404,0,48784
45;L;13,14;20532741/100000000,1286103/6250000;4,2053,0,6404,0,48784;4,2057,0,6413,0,13431
45;L;14,15;1286103/6250000,4177037/20000000;4,2057,0,6413,0,13431;8,20885185,0,64630000,0,100000000
45;L;15,16;4177037/20000000,4241917/20000000;8,20885185,0,64630000,0,100000000;8,21209585,0,65130000,0,100000000
45;L;16,17;4241917/20000000,10759443/50000000;8,21209585,0,65130000,0,100000000;8,21518886,0,65603179,0,105093959
46;C;1,9;1392941/6250000;2,22,61,19,0,318;2,22,63,1,0,430
46;C;9,11;5082543/25000000;2,20,63,1,0,30;4,2033,6313,0,0,806031
46;C;11,12;5082543/25000000;4,2033,6313,0,0,806031;4,2033,6363,0,0,172231
46;L;12,13;20386321/100000000,20532741/100000000;4,2038,6363,0,0,272231;4,2053,6404,0,0,48784
46;L;13,14;20532741/100000000,1286103/6250000;4,2053,6404,0,0,48784;4,2057,6413,0,0,13431
46;L;14,15;1286103/6250000,4177037/20000000;4,2057,6413,0,0,13431;8,20885185,64630000,0,0,100000000
46;L;15,16;4177037/20000000,4241917/20000000;8,20885185,64630000,0,0,100000000;8,21209585,65130000,0,0,100000000
46;L;16,17;4241917/20000000,10759443/50000000;8,21209585,65130000,0,0,100000000;8,21518886,65603179,0,0,105093959
47;C;0,27;14501/250000;2,5,0,30,0,100;8,5800400,0,34059946,0,78477084
48;C;0,13;5082543/25000000;2,20,0,43,0,2151;2,20,0,40,0,2400
48;C;13,20;9385311/50000000;2,18,0,40,0,2000;2,18,0,38,0,2156
48;C;20,23;5986781/50000000;2,11,0,38,0,756;2,11,0,36,0,904
48;C;23,25;4143747/50000000;2,8,0,36,0,304;2,8,0,35,0,375
48;C;25,26;1674513/25000000;4,669,0,3481,0,1262639;4,669,0,3435,0,1580775
48;L;26,27;1674513/25000000,14501/250000;4,669,0,3435,0,1580775;8,5800400,0,34059946,0,78477084
49;L;17,18;10759443/50000000,21374431/100000000;8,21518886,0,65603179,0,105093959;10,2137443100,0,6538261331,0,767550108439
49;L;18,19;21374431/100000000,4714677/25000000;10,2137443100,0,6538261331,0,767550108439;8,18858708,0,61414506,0,52775964
49;L;19,20;4714677/25000000,9385311/50000000;8,18858708,0,61414506,0,52775964;10,1877062200,0,6127090953,0,453665551791
49;L;20,21;9385311/50000000,130687/800000;10,1877062200,0,6127090953,0,453665551791;8,16335875,0,57159206,0,169449564
49;L;21,22;130687/800000,3517547/25000000;8,16335875,0,57159206,0,169449564;8,14070188,0,53047502,0,131559996
49;L;22,23;3517547/25000000,5986781/50000000;8,14070188,0,53047502,0,131559996;10,1197356200,0,4893579817,0,574650246511
49;L;23,24;5986781/50000000,5022999/50000000;10,1197356200,0,4893579817,0,574650246511;8,10045998,0,44824095,0,107430975
49;L;24,25;5022999/50000000,4143747/50000000;8,10045998,0,44824095,0,107430975;8,8287494,0,40712391,0,19063119
49;L;25,26;4143747/50000000,1674513/25000000;8,8287494,0,40712391,0,19063119;8,6698052,0,36600687,0,111128031
49;L;26,27;1674513/25000000,14501/250000;8,6698052,0,36600687,0,111128031;8,5800400,0,34059946,0,78477084
50;C;0,1;38659277/100000000;2,38,0,0,43,3902;2,38,0,0,43,3902
51;C;0,27;14501/250000;2,5,0,0,0,1000;2,5,0,0,0,1000
52;C;0,1;38659277/100000000;2,38,0,0,43,3902;2,38,0,0,43,3902
53;C;0,27;14501/250000;2,5,0,0,0,1000;2,5,0,0,0,1000
54;C;1,14;5082543/25000000;2,20,0,0,43,302;2,20,0,0,25,2750
54;C;14,20;9385311/50000000;2,18,0,0,25,2350;2,18,0,0,15,3150
54;C;20,27;14501/250000;2,5,0,0,15,550;2,5,0,0,0,1000
55;C;0,7;24541311/100000000;2,24,6,61,0,1043;2,24,6,62,0,920
56;C;0,7;24541311/100000000;2,24,4,61,0,1063;2,24,6,62,0,920
57;C;0,27;14501/250000;2,5,0,7,0,951;2,5,0,8,0,936
58;C;0,27;14501/250000;2,5,0,0,0,1000;2,5,8,0,0,936
59;C;7,17;5082543/25000000;2,20,6,62,0,120;2,20,7,22,0,3467
59;C;17,27;14501/250000;2,5,7,22,0,467;2,5,8,0,0,936
60;C;0,1;38659277/100000000;2,38,0,14,43,3706;2,38,0,14,43,3706
61;C;0,27;14501/250000;2,5,0,20,0,600;2,5,0,22,0,516
62;C;0,1;38659277/100000000;2,38,0,13,43,3733;2,38,0,14,43,3706
63;C;0,27;14501/250000;2,5,0,14,0,804;2,5,0,22,0,516
64;C;1,14;5082543/25000000;2,20,14,0,43,106;2,20,17,0,25,2461
64;C;14,20;9385311/50000000;2,18,17,0,25,2061;2,18,19,0,15,2789
64;C;20,27;14501/250000;2,5,19,0,15,189;2,5,22,0,0,516
65;C;0,1;38659277/100000000;2,38,0,61,7,3781;2,38,0,61,7,3781
66;C;0,7;24541311/100000000;2,24,0,61,0,1079;2,24,0,62,0,956
67;C;0,1;38659277/100000000;2,38,0,61,7,3781;2,38,0,61,7,3781
68;C;0,7;24541311/100000000;2,24,0,61,0,1079;2,24,0,62,0,956
69;C;1,7;24541311/100000000;2,24,61,0,7,981;2,24,62,0,0,956
70;C;7,17;5082543/25000000;2,20,0,62,0,156;2,20,0,22,0,3516
70;C;17,27;14501/250000;2,5,0,22,0,516;2,5,0,0,0,1000
71;C;0,1;38659277/100000000;2,38,0,61,19,3157;2,38,0,61,19,3157
72;C;0,1;38659277/100000000;2,38,0,61,19,3157;2,38,0,61,19,3157
73;C;1,9;1392941/6250000;4,2228,6078,0,1847,795098;2,22,63,0,11,189
73;C;9,10;4266093/20000000;4,2133,6238,0,1025,1646106;2,21,63,0,9,69
73;L;10,11;4266093/20000000,5082543/25000000;2,21,63,0,9,69;8,20330172,63130000,0,6349698,170617592
73;L;11,12;5082543/25000000,20386321/100000000;8,20330172,63130000,0,6349698,170617592;8,20386321,63630000,0,3774068,121462752
73;L;12,13;20386321/100000000,20532741/100000000;8,20386321,63630000,0,3774068,121462752;8,20532741,64038952,0,1667451,41066894
73;L;13,14;20532741/100000000,1286103/6250000;8,20532741,64038952,0,1667451,41066894;8,20577648,64130000,0,1198438,192720312
73;L;14,15;1286103/6250000,4177037/20000000;8,20577648,64130000,0,1198438,192720312;8,20885185,64630000,0,0,100000000
73;L;15,16;4177037/20000000,4241917/20000000;8,20885185,64630000,0,0,100000000;8,21209585,65130000,0,0,100000000
73;L;16,17;4241917/20000000,10759443/50000000;8,21209585,65130000,0,0,100000000;8,21518886,65603179,0,0,105093959
74;C;0,1;38659277/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,4;37196397/100000000;2,37,0,61,0,3679;2,37,0,62,0,3556
76;C;0,1;38659277/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,4;37196397/100000000;2,37,0,61,0,3679;2,37,0,62,0,3556
78;C;1,4;37196397/100000000;2,37,61,0,0,3679;2,37,62,0,0,3556
79;C;0,19;4714677/25000000;2,18,0,24,0,3024;2,18,0,26,0,2924
80;C;0,19;4714677/25000000;2,18,0,31,0,2639;2,18,0,26,0,2924
81;C;4,19;4714677/25000000;4,1885,0,6101,0,477799;2,18,0,26,0,2924
82;C;0,1;38659277/100000000;2,38,0,0,21,6718;2,38,0,0,21,6718
83;C;0,19;4714677/25000000;2,18,0,0,0,3600;2,18,0,0,0,3600
84;C;0,1;38659277/100000000;2,38,0,0,21,6718;2,38,0,0,21,6718
85;C;0,19;4714677/25000000;2,18,0,0,0,3600;2,18,0,0,0,3600
86;C;1,19;4714677/25000000;2,18,0,0,21,2718;2,18,0,0,0,3600
87;C;0,1;38659277/100000000;2,38,5,32,0,6551;2,38,5,32,0,6551
88;C;0,19;4714677/25000000;2,18,0,5,0,3575;2,18,0,6,0,3564
89;C;0,1;38659277/100000000;2,38,5,32,0,6551;2,38,5,32,0,6551
90;C;0,19;4714677/25000000;2,18,0,0,0,3600;2,18,6,0,0,3564
91;C;1,19;4714677/25000000;2,18,5,32,0,2551;2,18,6,0,0,3564
92;C;0,1;38659277/100000000;2,38,0,13,21,6549;2,38,0,13,21,6549
93;C;0,19;4714677/25000000;2,18,0,16,0,3344;2,18,0,17,0,3311
94;C;0,1;38659277/100000000;2,38,0,13,21,6549;2,38,0,13,21,6549
95;C;0,19;4714677/25000000;2,18,0,11,0,3479;2,18,0,17,0,3311
96;C;1,19;4714677/25000000;2,18,13,0,21,2549;2,18,17,0,0,3311
97;C;0,1;38659277/100000000;2,38,0,32,0,6576;2,38,0,32,0,6576
98;C;0,1;38659277/100000000;2,38,0,32,0,6576;2,38,0,32,0,6576
99;C;1,19;4714677/25000000;2,18,0,32,0,2576;2,18,0,0,0,3600
100;C;0,1;38659277/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;38659277/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,4;37196397/100000000;2,37,61,0,0,3679;2,37,62,0,0,3556
MASS SLACK NUMERATOR 16711000590573321157185725857935223999708027999220587639783841940970024731431702911375084158942849039158226656802170376720071

BIN 20: PPC; (311/228,26/19]; gamma0=1517/2500; mass ceiling=3107469/3125000.
GAMMA 0=1517/2500;1=280589400000/461311749539;2=3626078400000/5959648018607;3=66774881250/109483449041;4=3618883800000/5932675463207;5=3059/5000;6=771/1250;7=3359878200000/5421484744007;8=3109/5000;9=2471345100000/3958495209707;10=1567/2500;11=3159/5000;12=398/625;13=143892000000/224415155339;14=3209/5000;15=1617/2500;16=3259/5000;17=2730350700000/4162429744007;18=821/1250;19=114663937500/173319859057;20=3309/5000;21=1667/2500;22=3359/5000;23=423/625;24=3409/5000;25=1717/2500;26=3459/5000;27=178066350000/256265649539;28=871/1250;29=3509/5000;30=1767/2500;31=3559/5000;32=448/625;33=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38633048,38809539;1,2,38809539,38722993;2,3,38722993,38184275;3,4,38184275,38028075;4,5,38028075,34729377;5,6,34729377,26586863;6,7,26586863,24605503;7,8,24605503,23428756;8,9,23428756,22240284;9,10,22240284,21328190;10,11,21328190,20322476;11,12,20322476,20394591;12,13,20394591,20569947;13,14,20569947,20602814;14,15,20602814,20917512;15,16,20917512,21242162;16,17,21242162,21513598;17,18,21513598,21054129;18,19,21054129,18562262;19,20,18562262,18448264;20,21,18448264,16014488;21,22,16014488,13752802;22,23,13752802,11663205;23,24,11663205,9745697;24,25,9745697,8000278;25,26,8000278,6426949;26,27,6426949,5551546;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;5108690515757/1332799650000,5/13,461311749539/205046100000;-6534452762658619
1;0,6,7;8/13,1,7;-2
3;0,3,7;69/247,3,1;-2
4;2,3,7;1149/494,49/26,40/57;-713
5;2,3,8;512/247,56/39,40/57;-8
8;1,3,6;73/494,75/26,26/19;-73
9;1,4,10;4161104138957/888533100000,31/26,461311749539/205046100000;-5124760825158619
10;0,10;4/13,1;-1
12;0,2,10;5/6,1,1;-1
13;2,3,10;47/19,1/3,40/57;-1
17;2,3,8;512/247,56/39,40/57;-8
19;0,3,13;160/247,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;15/13,79/13,311/26;-5
25;2,3,8;512/247,56/39,40/57;-8
26;1,3,12;84/247,40/13,26/19;-84
27;0,1,7;8/13,2,1;-1
28;0,6,7;21/13,1,7;-2
30;0,3,7;69/247,3,1;-2
31;2,3,7;1643/494,49/26,33/38;-73
33;1,4,7;2183195284007/533119860000,93/26,461311749539/205046100000;-1151992637658619
35;1,3,6;73/494,75/26,26/19;-73
36;1,4,10;5655309244007/888533100000,5/26,461311749539/205046100000;-8456759950158619
37;0,10;4/13,1;-1
39;0,2,10;1,1,1;-1
42;1,4,10;2183195284007/533119860000,93/26,461311749539/205046100000;-1151992637658619
45;1,4,13;5313565744007/888533100000,5/13,461311749539/205046100000;-6534452762658619
46;0,3,13;160/247,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;15/13,66/13,259/26;-5
53;1,3,12;84/247,40/13,26/19;-84
54;0,1,7;21/13,2,1;-1
55;0,6,7;34/13,1,7;-2
57;0,1,12;1/2,3,1;-1
58;2,3,7;2137/494,31/13,85/76;-73
60;0,1,12;1/2,3,1;-1
62;1,3,6;73/494,75/26,26/19;-73
63;0,1,10;21/26,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;2482502230591/333199912500,9/13,461311749539/205046100000;-4483991762658619
66;0,1,12;1/2,3,1;-1
69;0,1,12;1/2,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;160/247,2,1;-1
74;1,4,6;2482502230591/333199912500,9/13,461311749539/205046100000;-4483991762658619
75;0,7,13;49/13,1,6;-2
76;1,12,13;15/13,53/13,207/26;-5
80;1,3,12;84/247,40/13,26/19;-84
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;6029259075975707,582782932984140666105300000,1099655932992009,1159
6;1,4,12,3;31607943037403,4723780350550949811900000,258646522660112,95
7;11,4,2,3;258646522660112,40786773390586782008100000,1099655932992009,2603
11;8,4,6,3;6029259075975707,935727694483044380007431250,42811402667996807,26429
14;5,4,2,3;42811402667996807,54527134406909187394743750,1099655932992009,3173
15;1,4,12,3;31607943037403,4723780350550949811900000,258646522660112,95
16;11,4,2,3;258646522660112,40786773390586782008100000,1099655932992009,2603
18;1,4,13,3;31607943037403,8854265650649847554700000,6029259075975707,19
20;1,4,6,3;31607943037403,113339292485835908916506250,42811402667996807,2071
23;5,4,2,3;42811402667996807,54527134406909187394743750,1099655932992009,3173
24;1,4,2,3;31607943037403,70073171875350000000000000,1099655932992009,361
29;1,4,7,3;31607943037403,283910489094644817065640000,126333294600321107,1615
32;8,4,2,3;126333294600321107,67643811277111118934360000,2143613616674806,133
34;1,4,2,3;31607943037403,52554878906512500000000000,2143613616674806,361
38;1,4,6,3;31607943037403,111750457051012385666025000,129899629215963321,380
41;5,4,2,3;129899629215963321,364176015350583511833975000,2143613616674806,11039
43;1,4,2,3;31607943037403,52554878906512500000000000,2143613616674806,361
44;8,4,2,3;126333294600321107,67643811277111118934360000,2143613616674806,133
47;1,4,6,3;31607943037403,111750457051012385666025000,129899629215963321,380
50;5,4,2,3;129899629215963321,364176015350583511833975000,2143613616674806,11039
51;1,4,9,3;31607943037403,283910489094644817065640000,126333294600321107,1615
52;8,4,2,3;126333294600321107,67643811277111118934360000,2143613616674806,133
56;1,4,7,3;31607943037403,10625118780779817065640000,35079549335400921,38
59;8,4,2,3;35079549335400921,72750614112191718508680000,1803754934600356,13471
61;1,4,2,3;31607943037403,13138719726628125000000000,1803754934600356,361
68;1,4,2,3;31607943037403,13138719726628125000000000,1803754934600356,361
70;1,4,2,3;31607943037403,13138719726628125000000000,1803754934600356,361
71;8,4,2,3;35079549335400921,72750614112191718508680000,1803754934600356,13471
77;1,4,2,3;31607943037403,13138719726628125000000000,1803754934600356,361
78;1,4,9,3;31607943037403,10625118780779817065640000,35079549335400921,38
79;8,4,2,3;35079549335400921,72750614112191718508680000,1803754934600356,13471
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/13;E/4,5/2/0/2;E/4,2/3/0/13;E/4,3/4/2/13
6:V/3,1/5/0/1;V/12,3/6/0/3;E/4,1/7/0/1;E/4,12/8/0/3;E/4,3/9/1/3
7:V/3,11/6/0/3;V/2,3/10/0/13;E/4,11/8/0/3;E/4,2/11/0/13;E/4,3/12/3/13
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/13;E/4,5/14/0/9;E/4,2/16/0/13;E/4,3/17/9/13
15:V/3,1/18/0/1;V/12,3/19/0/3;E/4,1/20/0/1;E/4,12/21/0/3;E/4,3/22/1/3
16:V/3,11/19/0/3;V/2,3/23/0/13;E/4,11/21/0/3;E/4,2/24/0/13;E/4,3/25/3/13
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/13;E/4,5/32/0/9;E/4,2/35/0/13;E/4,3/36/9/13
24:V/3,1/37/0/1;V/2,3/38/0/13;E/4,1/39/0/1;E/4,2/40/0/13;E/4,3/41/1/13
29:V/3,1/42/0/1;V/7,3/43/0/17;E/4,1/44/0/1;E/4,7/45/0/17;E/4,3/46/1/17
32:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
34:V/3,1/50/0/1;V/2,3/51/0/27;E/4,1/52/0/1;E/4,2/53/0/27;E/4,3/54/1/27
38:V/3,1/42/0/1;V/6,3/55/0/7;E/4,1/44/0/1;E/4,6/56/0/7;E/4,3/46/1/7
40:V/2,3/51/0/27;E/4,2/53/0/27
41:V/3,5/55/0/7;V/2,3/57/0/27;E/4,5/56/0/7;E/4,2/58/0/27;E/4,3/59/7/27
43:V/3,1/60/0/1;V/2,3/61/0/27;E/4,1/62/0/1;E/4,2/63/0/27;E/4,3/64/1/27
44:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
47:V/3,1/65/0/1;V/6,3/66/0/7;E/4,1/67/0/1;E/4,6/68/0/7;E/4,3/69/1/7
50:V/3,5/66/0/7;V/2,3/51/0/27;E/4,5/68/0/7;E/4,2/53/0/27;E/4,3/70/7/27
51:V/3,1/71/0/1;V/9,3/43/0/17;E/4,1/72/0/1;E/4,9/45/0/17;E/4,3/73/1/17
52:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
56:V/3,1/74/0/1;V/7,3/75/0/4;E/4,1/76/0/1;E/4,7/77/0/4;E/4,3/78/1/4
59:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/4;E/4,1/101/0/1;E/4,9/77/0/4;E/4,3/102/1/4
79:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;4829131/12500000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,6;26586863/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
1;C;6,9;5560071/25000000;2,22,0,62,0,556;2,22,0,63,0,431
1;C;9,11;5080619/25000000;2,20,0,63,0,31;4,2032,0,6318,0,722876
1;C;11,12;5080619/25000000;4,2032,0,6318,0,722876;4,2032,0,6368,0,88576
1;L;12,13;20394591/100000000,20569947/100000000;4,2039,0,6368,0,228576;4,2056,0,6412,0,6256
2;C;0,2;4829131/12500000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,6;26586863/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
3;C;6,9;5560071/25000000;2,22,0,62,0,556;2,22,0,63,0,431
3;C;9,11;5080619/25000000;2,20,0,63,0,31;4,2032,0,6318,0,722876
3;C;11,12;5080619/25000000;4,2032,0,6318,0,722876;4,2032,0,6368,0,88576
3;L;12,13;20394591/100000000,20569947/100000000;4,2039,0,6368,0,228576;4,2056,0,6412,0,6256
4;C;2,4;1521123/4000000;2,38,61,61,0,158;2,38,61,56,0,743
4;C;4,5;34729377/100000000;4,3472,6100,5555,0,1371975;2,34,62,50,0,456
4;L;5,6;34729377/100000000,26586863/100000000;2,34,62,50,0,456;2,26,62,33,0,267
4;C;6,7;24605503/100000000;4,2460,6168,3233,0,703487;2,24,62,23,0,427
4;C;7,8;5857189/25000000;2,23,62,23,0,227;2,23,63,16,0,375
4;C;8,10;2132819/10000000;4,2132,6218,1527,0,1644747;2,21,63,0,0,231
4;C;10,11;5080619/25000000;2,20,63,0,0,31;4,2032,6318,0,0,722876
4;C;11,12;5080619/25000000;4,2032,6318,0,0,722876;4,2032,6368,0,0,88576
4;L;12,13;20394591/100000000,20569947/100000000;4,2039,6368,0,0,228576;4,2056,6412,0,0,6256
5;C;0,1;4829131/12500000;2,38,0,0,61,158;2,38,0,0,61,158
6;C;0,3;1527371/4000000;2,38,0,0,61,158;2,38,0,0,61,158
7;C;0,1;4829131/12500000;2,38,0,0,61,158;2,38,0,0,61,158
8;C;0,3;1527371/4000000;2,38,0,0,61,158;2,38,0,0,61,158
9;C;1,3;1527371/4000000;2,38,0,0,61,158;2,38,0,0,61,158
10;C;0,13;5080619/25000000;2,20,0,0,12,3712;2,20,0,0,12,3712
11;C;0,13;5080619/25000000;2,20,0,0,10,3800;2,20,0,0,12,3712
12;C;3,4;1521123/4000000;2,38,0,0,61,158;2,38,0,0,61,158
12;L;4,5;1521123/4000000,34729377/100000000;2,38,0,0,61,158;4,3472,0,0,5801,2136798
12;L;5,6;34729377/100000000,26586863/100000000;4,3472,0,0,5801,2136798;4,2658,0,0,5013,2899662
12;L;6,7;26586863/100000000,24605503/100000000;4,2658,0,0,5013,2899662;2,24,0,0,46,568
12;C;7,8;5857189/25000000;2,23,0,0,46,368;2,23,0,0,43,902
12;C;8,13;5080619/25000000;2,20,0,0,43,302;2,20,0,0,12,3712
13;C;0,9;5560071/25000000;2,22,7,61,0,630;2,22,7,63,0,382
14;C;0,9;5560071/25000000;2,22,5,61,0,654;2,22,7,63,0,382
15;C;0,13;5080619/25000000;2,20,5,8,0,3911;2,20,6,9,0,3883
16;C;0,13;5080619/25000000;2,20,5,5,0,3950;2,20,9,6,0,3883
17;C;9,13;5080619/25000000;4,2032,670,6244,0,1203564;2,20,9,6,0,3883
18;L;0,1;4829131/12500000,38809539/100000000;4,3863,0,1901,6068,4951;10,3880953900,0,1904546225,6082424744,143991318303
19;C;0,3;1527371/4000000;4,3818,0,1397,6068,767143;10,3818427500,0,1403881771,6099084550,1276956498559
20;L;0,1;4829131/12500000,38809539/100000000;8,38633048,0,19039031,60680000,98581039;10,3880953900,0,1904546225,6082424744,143991318303
21;C;0,3;1527371/4000000;4,3818,0,1376,6068,825376;10,3818427500,0,1403881771,6099084550,1276956498559
22;L;1,2;38809539/100000000,38722993/100000000;10,3880953900,0,1904546225,6082424744,143991318303;8,38722993,0,18456816,60843835,28127694
22;L;2,3;38722993/100000000,1527371/4000000;8,38722993,0,18456816,60843835,28127694;10,3818427500,0,1403881771,6099084550,1276956498559
23;C;0,13;5080619/25000000;2,20,0,24,12,3136;2,20,0,25,12,3087
24;C;0,13;5080619/25000000;2,20,0,22,10,3316;2,20,0,25,12,3087
25;L;3,4;1527371/4000000,1521123/4000000;10,3818427500,1403881771,0,6099084550,1276956498559;10,3802807500,1406791083,0,6085930002,870304247103
25;L;4,5;1521123/4000000,34729377/100000000;10,3802807500,1406791083,0,6085930002,870304247103;10,3472937700,1469854210,0,5800787974,362739226548
25;L;5,6;34729377/100000000,26586863/100000000;10,3472937700,1469854210,0,5800787974,362739226548;4,2658,1645,0,5013,193637
25;L;6,7;26586863/100000000,24605503/100000000;4,2658,1645,0,5013,193637;2,24,18,0,46,244
25;C;7,8;5857189/25000000;2,23,18,0,46,44;2,23,19,0,43,541
25;C;8,13;5080619/25000000;4,2032,1819,0,4224,1646887;2,20,25,0,12,3087
26;C;0,1;4829131/12500000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;4829131/12500000;2,38,61,61,0,158;2,38,61,61,0,158
28;C;1,2;38722993/100000000;2,38,61,61,0,158;2,38,61,61,0,158
29;C;0,1;4829131/12500000;2,38,0,61,28,2311;2,38,0,61,29,2197
30;C;0,9;5560071/25000000;2,22,0,61,0,679;2,22,0,63,0,431
31;C;0,1;4829131/12500000;2,38,0,61,29,2197;2,38,0,61,29,2197
32;C;0,9;5560071/25000000;2,22,0,61,0,679;2,22,0,63,0,431
33;C;1,5;34729377/100000000;2,34,61,0,29,1397;2,34,62,0,22,1988
33;C;5,7;24605503/100000000;4,2460,6118,0,2151,2516474;2,24,62,0,7,858
33;C;7,9;5560071/25000000;2,22,62,0,7,458;2,22,63,0,0,431
34;C;0,13;5080619/25000000;2,20,0,5,0,3975;2,20,0,6,0,3964
35;C;0,13;5080619/25000000;2,20,0,5,0,3975;2,20,0,6,0,3964
36;C;9,13;5080619/25000000;2,20,0,63,0,31;2,20,0,6,0,3964
37;C;0,1;4829131/12500000;2,38,0,61,40,679;2,38,0,61,40,679
38;C;0,6;26586863/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
38;C;6,9;5560071/25000000;2,22,0,62,0,556;2,22,0,63,0,431
38;C;9,11;5080619/25000000;2,20,0,63,0,31;4,2032,0,6318,0,722876
38;C;11,12;5080619/25000000;4,2032,0,6318,0,722876;4,2032,0,6368,0,88576
38;L;12,13;20394591/100000000,20569947/100000000;4,2039,0,6368,0,228576;4,2056,0,6412,0,6256
39;C;0,1;4829131/12500000;2,38,0,61,40,679;2,38,0,61,40,679
40;C;0,6;26586863/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
40;C;6,9;5560071/25000000;2,22,0,62,0,556;2,22,0,63,0,431
40;C;9,11;5080619/25000000;2,20,0,63,0,31;4,2032,0,6318,0,722876
40;C;11,12;5080619/25000000;4,2032,0,6318,0,722876;4,2032,0,6368,0,88576
40;L;12,13;20394591/100000000,20569947/100000000;4,2039,0,6368,0,228576;4,2056,0,6412,0,6256
41;C;1,4;1521123/4000000;2,38,61,0,40,679;2,38,61,0,38,991
41;C;4,5;34729377/100000000;2,34,61,0,38,191;2,34,62,0,35,506
41;L;5,6;34729377/100000000,26586863/100000000;2,34,62,0,35,506;8,26586863,61680000,0,27504092,46511072
41;L;6,7;26586863/100000000,24605503/100000000;8,26586863,61680000,0,27504092,46511072;8,24605503,61973396,0,23242189,89203742
41;L;7,8;24605503/100000000,5857189/25000000;8,24605503,61973396,0,23242189,89203742;8,23428756,62180000,0,20241032,47149952
41;L;8,9;5857189/25000000,5560071/25000000;8,23428756,62180000,0,20241032,47149952;10,2224028400,6243142834,0,1658875385,468356651994
41;L;9,10;5560071/25000000,2132819/10000000;10,2224028400,6243142834,0,1658875385,468356651994;8,21328190,62680000,0,12977973,33622542
41;L;10,11;2132819/10000000,5080619/25000000;8,21328190,62680000,0,12977973,33622542;4,2032,6318,0,572,68508
41;C;11,12;5080619/25000000;4,2032,6318,0,572,68508;4,2032,6368,0,0,88576
41;L;12,13;20394591/100000000,20569947/100000000;4,2039,6368,0,0,228576;4,2056,6412,0,0,6256
42;C;0,1;4829131/12500000;2,38,19,61,0,3518;2,38,19,61,0,3518
43;C;0,8;5857189/25000000;2,23,0,61,0,879;2,23,0,63,0,631
43;C;8,12;5080619/25000000;2,20,0,63,0,31;4,2032,0,6368,0,88576
43;L;12,13;20394591/100000000,20569947/100000000;4,2039,0,6368,0,228576;4,2056,0,6412,0,6256
43;L;13,14;20569947/100000000,10301407/50000000;4,2056,0,6412,0,6256;4,2060,0,6418,0,9276
43;L;14,15;10301407/50000000,2614689/12500000;4,2060,0,6418,0,9276;8,20917512,0,64680000,0,0
43;L;15,16;2614689/12500000,10621081/50000000;8,20917512,0,64680000,0,0;8,21242162,0,65180000,0,0
43;L;16,17;10621081/50000000,10756799/50000000;8,21242162,0,65180000,0,0;8,21513598,0,65595118,0,94566076
44;C;0,1;4829131/12500000;2,38,61,19,0,3518;2,38,61,19,0,3518
45;C;0,8;5857189/25000000;2,23,0,61,0,879;2,23,0,63,0,631
45;C;8,12;5080619/25000000;2,20,0,63,0,31;4,2032,0,6368,0,88576
45;L;12,13;20394591/100000000,20569947/100000000;4,2039,0,6368,0,228576;4,2056,0,6412,0,6256
45;L;13,14;20569947/100000000,10301407/50000000;4,2056,0,6412,0,6256;4,2060,0,6418,0,9276
45;L;14,15;10301407/50000000,2614689/12500000;4,2060,0,6418,0,9276;8,20917512,0,64680000,0,0
45;L;15,16;2614689/12500000,10621081/50000000;8,20917512,0,64680000,0,0;8,21242162,0,65180000,0,0
45;L;16,17;10621081/50000000,10756799/50000000;8,21242162,0,65180000,0,0;8,21513598,0,65595118,0,94566076
46;C;1,9;5560071/25000000;2,22,61,19,0,318;2,22,63,0,0,431
46;C;9,11;5080619/25000000;2,20,63,0,0,31;4,2032,6318,0,0,722876
46;C;11,12;5080619/25000000;4,2032,6318,0,0,722876;4,2032,6368,0,0,88576
46;L;12,13;20394591/100000000,20569947/100000000;4,2039,6368,0,0,228576;4,2056,6412,0,0,6256
46;L;13,14;20569947/100000000,10301407/50000000;4,2056,6412,0,0,6256;4,2060,6418,0,0,9276
46;L;14,15;10301407/50000000,2614689/12500000;4,2060,6418,0,0,9276;8,20917512,64680000,0,0,0
46;L;15,16;2614689/12500000,10621081/50000000;8,20917512,64680000,0,0,0;8,21242162,65180000,0,0,0
46;L;16,17;10621081/50000000,10756799/50000000;8,21242162,65180000,0,0,0;8,21513598,65595118,0,0,94566076
47;C;0,27;2775773/50000000;2,5,0,30,0,100;8,5551546,0,33321300,0,166310000
48;C;0,13;5080619/25000000;2,20,0,42,0,2236;2,20,0,39,0,2479
48;C;13,20;2306033/12500000;2,18,0,39,0,2079;2,18,0,37,0,2231
48;C;20,23;2332641/20000000;2,11,0,37,0,831;2,11,0,36,0,904
48;C;23,25;4000139/50000000;2,8,0,36,0,304;2,8,0,35,0,375
48;C;25,26;6426949/100000000;4,642,0,3408,0,1225536;2,6,0,34,0,44
48;L;26,27;6426949/100000000,2775773/50000000;2,6,0,34,0,44;8,5551546,0,33321300,0,166310000
49;L;17,18;10756799/50000000,21054129/100000000;8,21513598,0,65595118,0,94566076;8,21054129,0,64890875,0,141734375
49;L;18,19;21054129/100000000,9281131/50000000;8,21054129,0,64890875,0,141734375;10,1856226200,0,6092989732,0,125742568176
49;L;19,20;9281131/50000000,2306033/12500000;10,1856226200,0,6092989732,0,125742568176;8,18448264,0,60742512,0,35929856
49;L;20,21;2306033/12500000,2001811/12500000;8,18448264,0,60742512,0,35929856;8,16014488,0,56594148,0,12154096
49;L;21,22;2001811/12500000,6876401/50000000;8,16014488,0,56594148,0,12154096;8,13752802,0,52445785,0,35733775
49;L;22,23;6876401/50000000,2332641/20000000;8,13752802,0,52445785,0,35733775;8,11663205,0,48297421,0,124748759
49;L;23,24;2332641/20000000,9745697/100000000;8,11663205,0,48297421,0,124748759;8,9745697,0,44149058,0,77712636
49;L;24,25;9745697/100000000,4000139/50000000;8,9745697,0,44149058,0,77712636;10,800027800,0,4000069401,0,787183501199
49;L;25,26;4000139/50000000,6426949/100000000;10,800027800,0,4000069401,0,787183501199;8,6426949,0,35852331,0,161866439
49;L;26,27;6426949/100000000,2775773/50000000;8,6426949,0,35852331,0,161866439;8,5551546,0,33321300,0,166310000
50;C;0,1;4829131/12500000;2,38,0,0,43,3902;2,38,0,0,43,3902
51;C;0,27;2775773/50000000;2,5,0,0,0,1000;2,5,0,0,0,1000
52;C;0,1;4829131/12500000;2,38,0,0,43,3902;2,38,0,0,43,3902
53;C;0,27;2775773/50000000;2,5,0,0,0,1000;2,5,0,0,0,1000
54;C;1,14;5080619/25000000;2,20,0,0,43,302;2,20,0,0,25,2750
54;C;14,20;2306033/12500000;2,18,0,0,25,2350;2,18,0,0,15,3150
54;C;20,27;2775773/50000000;2,5,0,0,15,550;2,5,0,0,0,1000
55;C;0,7;24605503/100000000;2,24,5,61,0,1054;2,24,5,62,0,931
56;C;0,7;24605503/100000000;2,24,4,61,0,1063;2,24,5,62,0,931
57;C;0,27;2775773/50000000;2,5,0,7,0,951;2,5,0,8,0,936
58;C;0,27;2775773/50000000;2,5,0,0,0,1000;2,5,8,0,0,936
59;C;7,17;5080619/25000000;2,20,5,62,0,131;2,20,6,22,0,3480
59;C;17,27;2775773/50000000;2,5,6,22,0,480;2,5,8,0,0,936
60;C;0,1;4829131/12500000;2,38,0,13,43,3733;2,38,0,13,43,3733
61;C;0,27;2775773/50000000;2,5,0,20,0,600;2,5,0,22,0,516
62;C;0,1;4829131/12500000;2,38,0,13,43,3733;2,38,0,13,43,3733
63;C;0,27;2775773/50000000;2,5,0,14,0,804;2,5,0,22,0,516
64;C;1,14;5080619/25000000;2,20,13,0,43,133;2,20,17,0,25,2461
64;C;14,20;2306033/12500000;2,18,17,0,25,2061;2,18,19,0,15,2789
64;C;20,27;2775773/50000000;2,5,19,0,15,189;2,5,22,0,0,516
65;C;0,1;4829131/12500000;2,38,0,61,7,3781;2,38,0,61,7,3781
66;C;0,7;24605503/100000000;2,24,0,61,0,1079;2,24,0,62,0,956
67;C;0,1;4829131/12500000;2,38,0,61,7,3781;2,38,0,61,7,3781
68;C;0,7;24605503/100000000;2,24,0,61,0,1079;2,24,0,62,0,956
69;C;1,7;24605503/100000000;2,24,61,0,7,981;2,24,62,0,0,956
70;C;7,17;5080619/25000000;2,20,0,62,0,156;2,20,0,22,0,3516
70;C;17,27;2775773/50000000;2,5,0,22,0,516;2,5,0,0,0,1000
71;C;0,1;4829131/12500000;2,38,0,61,19,3157;2,38,0,61,19,3157
72;C;0,1;4829131/12500000;2,38,0,61,19,3157;2,38,0,61,19,3157
73;C;1,9;5560071/25000000;4,2224,6083,0,1822,837743;2,22,63,0,10,231
73;C;9,10;2132819/10000000;2,21,63,0,10,31;2,21,63,0,9,69
73;L;10,11;2132819/10000000,5080619/25000000;2,21,63,0,9,69;8,20322476,63180000,0,6032523,132508942
73;L;11,12;5080619/25000000,20394591/100000000;8,20322476,63180000,0,6032523,132508942;8,20394591,63680000,0,3447872,157343232
73;L;12,13;20394591/100000000,20569947/100000000;8,20394591,63680000,0,3447872,157343232;8,20569947,64118665,0,1180284,57976463
73;L;13,14;20569947/100000000,10301407/50000000;8,20569947,64118665,0,1180284,57976463;8,20602814,64180000,0,863221,99010318
73;L;14,15;10301407/50000000,2614689/12500000;8,20602814,64180000,0,863221,99010318;8,20917512,64680000,0,0,0
73;L;15,16;2614689/12500000,10621081/50000000;8,20917512,64680000,0,0,0;8,21242162,65180000,0,0,0
73;L;16,17;10621081/50000000,10756799/50000000;8,21242162,65180000,0,0,0;8,21513598,65595118,0,0,94566076
74;C;0,1;4829131/12500000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,4;1521123/4000000;2,38,0,61,0,3879;2,38,0,61,0,3879
76;C;0,1;4829131/12500000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,4;1521123/4000000;2,38,0,61,0,3879;2,38,0,61,0,3879
78;C;1,4;1521123/4000000;2,38,61,0,0,3879;2,38,61,0,0,3879
79;C;0,19;9281131/50000000;2,18,0,23,0,3071;2,18,0,25,0,2975
80;C;0,19;9281131/50000000;2,18,0,31,0,2639;2,18,0,25,0,2975
81;C;4,11;5080619/25000000;2,20,0,61,0,279;2,20,0,46,0,1884
81;C;11,19;9281131/50000000;2,18,0,46,0,1484;2,18,0,25,0,2975
82;C;0,1;4829131/12500000;2,38,0,0,21,6718;2,38,0,0,21,6718
83;C;0,19;9281131/50000000;2,18,0,0,0,3600;2,18,0,0,0,3600
84;C;0,1;4829131/12500000;2,38,0,0,21,6718;2,38,0,0,21,6718
85;C;0,19;9281131/50000000;2,18,0,0,0,3600;2,18,0,0,0,3600
86;C;1,19;9281131/50000000;2,18,0,0,21,2718;2,18,0,0,0,3600
87;C;0,1;4829131/12500000;2,38,5,32,0,6551;2,38,5,32,0,6551
88;C;0,19;9281131/50000000;2,18,0,5,0,3575;2,18,0,6,0,3564
89;C;0,1;4829131/12500000;2,38,5,32,0,6551;2,38,5,32,0,6551
90;C;0,19;9281131/50000000;2,18,0,0,0,3600;2,18,6,0,0,3564
91;C;1,19;9281131/50000000;2,18,5,32,0,2551;2,18,6,0,0,3564
92;C;0,1;4829131/12500000;2,38,0,13,21,6549;2,38,0,13,21,6549
93;C;0,19;9281131/50000000;2,18,0,15,0,3375;2,18,0,17,0,3311
94;C;0,1;4829131/12500000;2,38,0,13,21,6549;2,38,0,13,21,6549
95;C;0,19;9281131/50000000;2,18,0,11,0,3479;2,18,0,17,0,3311
96;C;1,19;9281131/50000000;2,18,13,0,21,2549;2,18,17,0,0,3311
97;C;0,1;4829131/12500000;2,38,0,32,0,6576;2,38,0,32,0,6576
98;C;0,1;4829131/12500000;2,38,0,32,0,6576;2,38,0,32,0,6576
99;C;1,19;9281131/50000000;2,18,0,32,0,2576;2,18,0,0,0,3600
100;C;0,1;4829131/12500000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;4829131/12500000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,4;1521123/4000000;2,38,61,0,0,3879;2,38,61,0,0,3879
MASS SLACK NUMERATOR 464641532528539845124140097143565851053639366138225988803304986038211564922748504360534587046621052153709884045194222005221

BIN 21: PPC; (26/19,339/247]; gamma0=759/1250; mass ceiling=99488461/100000000.
GAMMA 0=759/1250;1=3658454100000/6011677744007;2=3642266250000/5983624199957;3=3539743200000/5805951754307;4=3636870300000/5963394783407;5=3061/5000;6=1543/2500;7=3374267400000/5443304344007;8=3111/5000;9=2485734300000/3979354330607;10=392/625;11=3161/5000;12=1593/2500;13=1881387900000/2932022019407;14=3211/5000;15=809/1250;16=3261/5000;17=2748337200000/4191443944007;18=1643/2500;19=1496027137500/2260470667741;20=3311/5000;21=417/625;22=3361/5000;23=1693/2500;24=3411/5000;25=859/1250;26=3461/5000;27=2325654450000/3346078444007;28=1743/2500;29=3511/5000;30=442/625;31=3561/5000;32=1793/2500;33=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38596405,38762380;1,2,38762380,38698737;2,3,38698737,38330435;3,4,38330435,37969502;4,5,37969502,33711524;5,6,33711524,26424655;6,7,26424655,24617929;7,8,24617929,23314675;8,9,23314675,22174130;9,10,22174130,21263501;10,11,21263501,20304428;11,12,20304428,20395101;12,13,20395101,20592477;13,14,20592477,20623222;14,15,20623222,20943392;15,16,20943392,21268242;16,17,21268242,21497241;17,18,21497241,20681849;18,19,20681849,18266190;19,20,18266190,18074763;20,21,18074763,15643249;21,22,15643249,13387308;22,23,13387308,11306940;23,24,11306940,9402145;24,25,9402145,7672923;25,26,7672923,6119273;26,27,6119273,5315304;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;5123315515757/1332799650000,5/13,462436749539/205046100000;-1093775094233771
1;0,6,7;5/13,1,7;-2
3;0,3,7;66/247,3,1;-2
4;2,3,7;590/247,24/13,523/741;-322
5;2,3,8;517/247,56/39,523/741;-6
8;1,3,6;25/247,37/13,339/247;-25
9;1,4,10;4234953287507/888533100000,15/13,462436749539/205046100000;-880185406733771
10;0,10;4/13,1;-1
12;0,2,10;34/39,1,1;-1
13;2,3,10;615/247,1/3,523/741;-1
17;2,3,8;517/247,56/39,523/741;-6
19;0,3,13;158/247,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;18/13,79/13,155/13;-6
25;2,3,8;517/247,56/39,523/741;-6
26;1,3,12;82/247,40/13,339/247;-82
27;0,1,7;8/13,2,1;-1
28;0,6,7;18/13,1,7;-2
30;0,3,7;66/247,3,1;-2
31;2,3,7;837/247,24/13,431/494;-25
33;1,4,7;2238829504007/533119860000,46/13,462436749539/205046100000;-9171205184077
35;1,3,6;25/247,37/13,339/247;-25
36;1,4,10;5738282944007/888533100000,2/13,462436749539/205046100000;-1435518594233771
37;0,10;4/13,1;-1
39;0,2,10;27/26,1,1;-1
42;1,4,10;2238829504007/533119860000,46/13,462436749539/205046100000;-9171205184077
45;1,4,13;5328190744007/888533100000,5/13,462436749539/205046100000;-1093775094233771
46;0,3,13;158/247,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;18/13,66/13,129/13;-6
53;1,3,12;82/247,40/13,339/247;-82
54;0,1,7;21/13,2,1;-1
55;0,6,7;31/13,1,7;-2
57;0,1,12;7/13,3,1;-1
58;2,3,7;1084/247,61/26,1109/988;-25
60;0,1,12;7/13,3,1;-1
62;1,3,6;25/247,37/13,339/247;-25
63;0,1,10;11/13,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;2489814730591/333199912500,9/13,462436749539/205046100000;-752031594233771
66;0,1,12;7/13,3,1;-1
69;0,1,12;7/13,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;158/247,2,1;-1
74;1,4,6;2489814730591/333199912500,9/13,462436749539/205046100000;-752031594233771
75;0,7,13;49/13,1,6;-2
76;1,12,13;18/13,53/13,103/13;-6
80;1,3,12;82/247,40/13,339/247;-82
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;1854483365974226,97416620946554334887700000,2400273083131653,241813
6;1,4,12,3;64626709558351,6993928071319256052300000,1478839921601263,2717
7;11,4,2,3;1478839921601263,91577189956941834887700000,2400273083131653,113867
11;8,4,6,3;1854483365974226,14196335498059488581193750,21448970703113889,158821
14;5,4,2,3;21448970703113889,9141505506209406541443750,2400273083131653,124488
15;1,4,12,3;64626709558351,6993928071319256052300000,1478839921601263,2717
16;11,4,2,3;1478839921601263,91577189956941834887700000,2400273083131653,113867
18;1,4,13,3;64626709558351,1154497081706756052300000,1854483365974226,247
20;1,4,6,3;64626709558351,18829654482209860509806250,21448970703113889,80522
23;5,4,2,3;21448970703113889,9141505506209406541443750,2400273083131653,124488
24;1,4,2,3;64626709558351,11678861979225000000000000,2400273083131653,122018
29;1,4,7,3;64626709558351,46932958217025607262760000,62766539985175689,62491
32;8,4,2,3;62766539985175689,1056635193535624248840000,4653663964316702,58045
34;1,4,2,3;64626709558351,8759146484418750000000000,4653663964316702,61009
38;1,4,6,3;64626709558351,1671287798192506094475000,21332464465975689,19513
41;5,4,2,3;21332464465975689,60914139172622260460775000,4653663964316702,144001
43;1,4,2,3;64626709558351,8759146484418750000000000,4653663964316702,61009
44;8,4,2,3;62766539985175689,1056635193535624248840000,4653663964316702,58045
47;1,4,6,3;64626709558351,1671287798192506094475000,21332464465975689,19513
50;5,4,2,3;21332464465975689,60914139172622260460775000,4653663964316702,144001
51;1,4,9,3;64626709558351,46932958217025607262760000,62766539985175689,62491
52;8,4,2,3;62766539985175689,1056635193535624248840000,4653663964316702,58045
56;1,4,7,3;64626709558351,1385396498048107262760000,1636064965113163,494
59;8,4,2,3;1636064965113163,12307641678516348942120000,3909862688176052,59033
61;1,4,2,3;64626709558351,2189786621104687500000000,3909862688176052,61009
68;1,4,2,3;64626709558351,2189786621104687500000000,3909862688176052,61009
70;1,4,2,3;64626709558351,2189786621104687500000000,3909862688176052,61009
71;8,4,2,3;1636064965113163,12307641678516348942120000,3909862688176052,59033
77;1,4,2,3;64626709558351,2189786621104687500000000,3909862688176052,61009
78;1,4,9,3;64626709558351,1385396498048107262760000,1636064965113163,494
79;8,4,2,3;1636064965113163,12307641678516348942120000,3909862688176052,59033
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/13;E/4,5/2/0/2;E/4,2/3/0/13;E/4,3/4/2/13
6:V/3,1/5/0/1;V/12,3/6/0/3;E/4,1/7/0/1;E/4,12/8/0/3;E/4,3/9/1/3
7:V/3,11/6/0/3;V/2,3/10/0/13;E/4,11/8/0/3;E/4,2/11/0/13;E/4,3/12/3/13
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/13;E/4,5/14/0/9;E/4,2/16/0/13;E/4,3/17/9/13
15:V/3,1/18/0/1;V/12,3/19/0/3;E/4,1/20/0/1;E/4,12/21/0/3;E/4,3/22/1/3
16:V/3,11/19/0/3;V/2,3/23/0/13;E/4,11/21/0/3;E/4,2/24/0/13;E/4,3/25/3/13
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/13;E/4,5/32/0/9;E/4,2/35/0/13;E/4,3/36/9/13
24:V/3,1/37/0/1;V/2,3/38/0/13;E/4,1/39/0/1;E/4,2/40/0/13;E/4,3/41/1/13
29:V/3,1/42/0/1;V/7,3/43/0/17;E/4,1/44/0/1;E/4,7/45/0/17;E/4,3/46/1/17
32:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
34:V/3,1/50/0/1;V/2,3/51/0/27;E/4,1/52/0/1;E/4,2/53/0/27;E/4,3/54/1/27
38:V/3,1/42/0/1;V/6,3/55/0/7;E/4,1/44/0/1;E/4,6/56/0/7;E/4,3/46/1/7
40:V/2,3/51/0/27;E/4,2/53/0/27
41:V/3,5/55/0/7;V/2,3/57/0/27;E/4,5/56/0/7;E/4,2/58/0/27;E/4,3/59/7/27
43:V/3,1/60/0/1;V/2,3/61/0/27;E/4,1/62/0/1;E/4,2/63/0/27;E/4,3/64/1/27
44:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
47:V/3,1/65/0/1;V/6,3/66/0/7;E/4,1/67/0/1;E/4,6/68/0/7;E/4,3/69/1/7
50:V/3,5/66/0/7;V/2,3/51/0/27;E/4,5/68/0/7;E/4,2/53/0/27;E/4,3/70/7/27
51:V/3,1/71/0/1;V/9,3/43/0/17;E/4,1/72/0/1;E/4,9/45/0/17;E/4,3/73/1/17
52:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
56:V/3,1/74/0/1;V/7,3/75/0/4;E/4,1/76/0/1;E/4,7/77/0/4;E/4,3/78/1/4
59:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/4;E/4,1/101/0/1;E/4,9/77/0/4;E/4,3/102/1/4
79:V/3,8/75/0/4;V/2,3/79/0/19;E/4,8/77/0/4;E/4,2/80/0/19;E/4,3/81/4/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;7719281/20000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,6;5284931/20000000;2,26,0,61,0,1479;2,26,0,62,0,1356
1;C;6,9;2217413/10000000;2,22,0,62,0,556;2,22,0,63,0,431
1;C;9,11;5076107/25000000;2,20,0,63,0,31;4,2030,0,6322,0,632316
1;C;11,12;5076107/25000000;4,2030,0,6322,0,632316;6,203044,0,637200,0,64160000
1;L;12,13;20395101/100000000,20592477/100000000;4,2039,0,6372,0,177616;4,2059,0,6417,0,2111
2;C;0,2;7719281/20000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,6;5284931/20000000;2,26,0,61,0,1479;2,26,0,62,0,1356
3;C;6,9;2217413/10000000;2,22,0,62,0,556;2,22,0,63,0,431
3;C;9,11;5076107/25000000;2,20,0,63,0,31;4,2030,0,6322,0,632316
3;C;11,12;5076107/25000000;4,2030,0,6322,0,632316;6,203044,0,637200,0,64160000
3;L;12,13;20395101/100000000,20592477/100000000;4,2039,0,6372,0,177616;4,2059,0,6417,0,2111
4;C;2,4;18984751/50000000;4,3796,6088,6088,0,1792512;2,37,61,57,0,430
4;L;4,5;18984751/50000000,8427881/25000000;2,37,61,57,0,430;2,33,62,49,0,355
4;L;5,6;8427881/25000000,5284931/20000000;2,33,62,49,0,355;2,26,62,32,0,332
4;C;6,7;24617929/100000000;4,2461,6172,3186,0,975820;2,24,62,23,0,427
4;C;7,8;932587/4000000;2,23,62,23,0,227;2,23,63,15,0,406
4;C;8,10;21263501/100000000;2,21,63,15,0,6;2,21,63,0,0,231
4;C;10,11;5076107/25000000;2,20,63,0,0,31;4,2030,6322,0,0,632316
4;C;11,12;5076107/25000000;4,2030,6322,0,0,632316;6,203044,637200,0,0,64160000
4;L;12,13;20395101/100000000,20592477/100000000;4,2039,6372,0,0,177616;4,2059,6417,0,0,2111
5;C;0,1;7719281/20000000;2,38,0,1,61,157;2,38,0,1,61,157
6;C;0,3;7666087/20000000;2,38,0,1,61,157;2,38,0,1,61,157
7;C;0,1;7719281/20000000;2,38,1,0,61,157;2,38,1,0,61,157
8;C;0,3;7666087/20000000;2,38,0,0,61,158;2,38,1,0,61,157
9;C;1,3;7666087/20000000;2,38,1,0,61,157;2,38,1,0,61,157
10;C;0,13;5076107/25000000;2,20,0,0,10,3800;2,20,0,0,10,3800
11;C;0,13;5076107/25000000;2,20,0,0,8,3872;2,20,0,0,10,3800
12;C;3,4;18984751/50000000;4,3796,53,0,6097,1570373;4,3796,52,0,6067,2300318
12;L;4,5;18984751/50000000,8427881/25000000;4,3796,52,0,6067,2300318;2,33,1,0,57,101
12;L;5,6;8427881/25000000,5284931/20000000;2,33,1,0,57,101;2,26,1,0,49,397
12;C;6,7;24617929/100000000;4,2461,18,0,4889,1415034;2,24,1,0,45,749
12;C;7,8;932587/4000000;2,23,1,0,45,549;2,23,0,0,41,1238
12;C;8,13;5076107/25000000;2,20,0,0,41,638;2,20,0,0,10,3800
13;C;0,9;2217413/10000000;2,22,7,61,0,630;2,22,7,63,0,382
14;C;0,9;2217413/10000000;2,22,5,61,0,654;2,22,7,63,0,382
15;C;0,13;5076107/25000000;2,20,5,8,0,3911;2,20,5,8,0,3911
16;C;0,13;5076107/25000000;2,20,5,5,0,3950;2,20,8,5,0,3911
17;C;9,13;5076107/25000000;4,2030,638,6247,0,1167947;2,20,8,5,0,3911
18;L;0,1;7719281/20000000,1938119/5000000;4,3859,0,1855,6072,607;8,38762380,0,18590889,60855792,6295151
19;C;0,3;7666087/20000000;4,3833,0,1518,6072,617308;10,3833043500,0,1523209015,6096749250,1461871604775
20;L;0,1;7719281/20000000,1938119/5000000;8,38596405,0,18586124,60720000,194656624;8,38762380,0,18590889,60855792,6295151
21;C;0,3;7666087/20000000;4,3833,0,1501,6072,668631;10,3833043500,0,1523209015,6096749250,1461871604775
22;L;1,2;1938119/5000000,38698737/100000000;8,38762380,0,18590889,60855792,6295151;10,3869873700,0,1814647059,6087057156,410441033847
22;L;2,3;38698737/100000000,7666087/20000000;10,3869873700,0,1814647059,6087057156,410441033847;10,3833043500,0,1523209015,6096749250,1461871604775
23;C;0,13;5076107/25000000;2,20,0,27,10,3071;2,20,0,29,10,2959
24;C;0,13;5076107/25000000;2,20,0,25,8,3247;2,20,0,29,10,2959
25;L;3,4;7666087/20000000,18984751/50000000;10,3833043500,1523209015,0,6096749250,1461871604775;10,3796950200,1530930790,0,6066104786,366765764308
25;L;4,5;18984751/50000000,8427881/25000000;10,3796950200,1530930790,0,6066104786,366765764308;8,33711524,16253806,0,56912734,7804852
25;L;5,6;8427881/25000000,5284931/20000000;8,33711524,16253806,0,56912734,7804852;2,26,19,0,49,37
25;L;6,7;5284931/20000000,24617929/100000000;2,26,19,0,49,37;2,24,20,0,45,350
25;C;7,8;932587/4000000;2,23,20,0,45,150;2,23,21,0,41,797
25;C;8,13;5076107/25000000;2,20,21,0,41,197;2,20,29,0,10,2959
26;C;0,1;7719281/20000000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;7719281/20000000;2,38,61,61,0,158;2,38,61,61,0,158
28;C;1,2;38698737/100000000;2,38,61,61,0,158;2,38,61,61,0,158
29;C;0,1;7719281/20000000;2,38,1,61,27,2420;2,38,1,61,27,2420
30;C;0,9;2217413/10000000;2,22,0,61,0,679;2,22,0,63,0,431
31;C;0,1;7719281/20000000;2,38,1,61,27,2420;2,38,1,61,27,2420
32;C;0,9;2217413/10000000;2,22,0,61,0,679;2,22,0,63,0,431
33;C;1,5;8427881/25000000;2,33,61,1,27,1420;2,33,62,1,21,1873
33;C;5,7;24617929/100000000;2,24,62,1,21,73;2,24,62,1,6,883
33;C;7,9;2217413/10000000;2,22,62,1,6,483;2,22,63,0,0,431
34;C;0,13;5076107/25000000;2,20,0,5,0,3975;2,20,0,5,0,3975
35;C;0,13;5076107/25000000;2,20,0,5,0,3975;2,20,0,5,0,3975
36;C;9,13;5076107/25000000;2,20,0,63,0,31;2,20,0,5,0,3975
37;C;0,1;7719281/20000000;2,38,0,61,40,679;2,38,0,61,40,679
38;C;0,6;5284931/20000000;2,26,0,61,0,1479;2,26,0,62,0,1356
38;C;6,9;2217413/10000000;2,22,0,62,0,556;2,22,0,63,0,431
38;C;9,11;5076107/25000000;2,20,0,63,0,31;4,2030,0,6322,0,632316
38;C;11,12;5076107/25000000;4,2030,0,6322,0,632316;6,203044,0,637200,0,64160000
38;L;12,13;20395101/100000000,20592477/100000000;4,2039,0,6372,0,177616;4,2059,0,6417,0,2111
39;C;0,1;7719281/20000000;2,38,0,61,40,679;2,38,0,61,40,679
40;C;0,6;5284931/20000000;2,26,0,61,0,1479;2,26,0,62,0,1356
40;C;6,9;2217413/10000000;2,22,0,62,0,556;2,22,0,63,0,431
40;C;9,11;5076107/25000000;2,20,0,63,0,31;4,2030,0,6322,0,632316
40;C;11,12;5076107/25000000;4,2030,0,6322,0,632316;6,203044,0,637200,0,64160000
40;L;12,13;20395101/100000000,20592477/100000000;4,2039,0,6372,0,177616;4,2059,0,6417,0,2111
41;C;1,4;18984751/50000000;2,37,61,0,40,479;2,37,61,0,38,791
41;C;4,5;8427881/25000000;4,3371,6099,0,3783,1600021;2,33,62,0,35,306
41;L;5,6;8427881/25000000,5284931/20000000;2,33,62,0,35,306;8,26424655,61720000,0,27162221,100694318
41;L;6,7;5284931/20000000,24617929/100000000;8,26424655,61720000,0,27162221,100694318;8,24617929,61989321,0,23247686,73249767
41;L;7,8;24617929/100000000,932587/4000000;8,24617929,61989321,0,23247686,73249767;8,23314675,62220000,0,19894804,147603168
41;L;8,9;932587/4000000,2217413/10000000;8,23314675,62220000,0,19894804,147603168;10,2217413000,6246576941,0,1632258611,173799783877
41;L;9,10;2217413/10000000,21263501/100000000;10,2217413000,6246576941,0,1632258611,173799783877;10,2126350100,6272000000,0,1262738679,57114669918
41;L;10,11;21263501/100000000,5076107/25000000;10,2126350100,6272000000,0,1262738679,57114669918;4,2030,6322,0,536,57724
41;C;11,12;5076107/25000000;4,2030,6322,0,536,57724;6,203044,637200,0,0,64160000
41;L;12,13;20395101/100000000,20592477/100000000;4,2039,6372,0,0,177616;4,2059,6417,0,0,2111
42;C;0,1;7719281/20000000;2,38,19,61,0,3518;2,38,19,61,0,3518
43;C;0,8;932587/4000000;2,23,0,61,0,879;2,23,0,63,0,631
43;C;8,12;5076107/25000000;2,20,0,63,0,31;6,203044,0,637200,0,64160000
43;L;12,13;20395101/100000000,20592477/100000000;4,2039,0,6372,0,177616;4,2059,0,6417,0,2111
43;L;13,14;20592477/100000000,10311611/50000000;4,2059,0,6417,0,2111;6,206232,0,642200,0,43160000
43;L;14,15;10311611/50000000,654481/3125000;6,206232,0,642200,0,43160000;8,20943392,0,64720000,0,0
43;L;15,16;654481/3125000,10634121/50000000;8,20943392,0,64720000,0,0;8,21268242,0,65220000,0,0
43;L;16,17;10634121/50000000,21497241/100000000;8,21268242,0,65220000,0,0;8,21497241,0,65570177,0,88188671
44;C;0,1;7719281/20000000;2,38,61,19,0,3518;2,38,61,19,0,3518
45;C;0,8;932587/4000000;2,23,0,61,0,879;2,23,0,63,0,631
45;C;8,12;5076107/25000000;2,20,0,63,0,31;6,203044,0,637200,0,64160000
45;L;12,13;20395101/100000000,20592477/100000000;4,2039,0,6372,0,177616;4,2059,0,6417,0,2111
45;L;13,14;20592477/100000000,10311611/50000000;4,2059,0,6417,0,2111;6,206232,0,642200,0,43160000
45;L;14,15;10311611/50000000,654481/3125000;6,206232,0,642200,0,43160000;8,20943392,0,64720000,0,0
45;L;15,16;654481/3125000,10634121/50000000;8,20943392,0,64720000,0,0;8,21268242,0,65220000,0,0
45;L;16,17;10634121/50000000,21497241/100000000;8,21268242,0,65220000,0,0;8,21497241,0,65570177,0,88188671
46;C;1,9;2217413/10000000;2,22,61,19,0,318;2,22,63,0,0,431
46;C;9,11;5076107/25000000;2,20,63,0,0,31;4,2030,6322,0,0,632316
46;C;11,12;5076107/25000000;4,2030,6322,0,0,632316;6,203044,637200,0,0,64160000
46;L;12,13;20395101/100000000,20592477/100000000;4,2039,6372,0,0,177616;4,2059,6417,0,0,2111
46;L;13,14;20592477/100000000,10311611/50000000;4,2059,6417,0,0,2111;6,206232,642200,0,0,43160000
46;L;14,15;10311611/50000000,654481/3125000;6,206232,642200,0,0,43160000;8,20943392,64720000,0,0,0
46;L;15,16;654481/3125000,10634121/50000000;8,20943392,64720000,0,0,0;8,21268242,65220000,0,0,0
46;L;16,17;10634121/50000000,21497241/100000000;8,21268242,65220000,0,0,0;8,21497241,65570177,0,0,88188671
47;C;0,27;664413/12500000;2,5,0,29,0,159;8,5315304,0,32604612,0,76329456
48;C;0,13;5076107/25000000;2,20,0,41,0,2319;2,20,0,38,0,2556
48;C;13,20;18074763/100000000;2,18,0,38,0,2156;2,18,0,36,0,2304
48;C;20,23;565347/5000000;2,11,0,36,0,904;2,11,0,35,0,975
48;C;23,25;7672923/100000000;2,7,0,35,0,175;2,7,0,34,0,244
48;C;25,26;6119273/100000000;2,6,0,34,0,44;2,6,0,33,0,111
48;L;26,27;6119273/100000000,664413/12500000;2,6,0,33,0,111;8,5315304,0,32604612,0,76329456
49;L;17,18;21497241/100000000,20681849/100000000;8,21497241,0,65570177,0,88188671;10,2068184900,0,6431461528,0,613855905216
49;L;18,19;20681849/100000000,1826619/10000000;10,2068184900,0,6431461528,0,613855905216;8,18266190,0,60442021,0,97435559
49;L;19,20;1826619/10000000,18074763/100000000;8,18266190,0,60442021,0,97435559;8,18074763,0,60124475,0,105974375
49;L;20,21;18074763/100000000,15643249/100000000;8,18074763,0,60124475,0,105974375;10,1564324900,0,5593433434,0,419410967644
49;L;21,22;15643249/100000000,3346827/25000000;10,1564324900,0,5593433434,0,419410967644;12,133873080000,0,517441938701,0,73350558432599
49;L;22,23;3346827/25000000,565347/5000000;12,133873080000,0,517441938701,0,73350558432599;10,1130694000,0,4755405341,0,42788673719
49;L;23,24;565347/5000000,1880429/20000000;10,1130694000,0,4755405341,0,42788673719;8,9402145,0,43363913,0,49328431
49;L;24,25;1880429/20000000,7672923/100000000;8,9402145,0,43363913,0,49328431;8,7672923,0,39173773,0,108944471
49;L;25,26;7672923/100000000,6119273/100000000;8,7672923,0,39173773,0,108944471;8,6119273,0,34983632,0,92088576
49;L;26,27;6119273/100000000,664413/12500000;8,6119273,0,34983632,0,92088576;8,5315304,0,32604612,0,76329456
50;C;0,1;7719281/20000000;2,38,0,1,42,4071;2,38,0,1,42,4071
51;C;0,27;664413/12500000;2,5,0,0,0,1000;2,5,0,0,0,1000
52;C;0,1;7719281/20000000;2,38,0,0,42,4072;2,38,1,0,42,4071
53;C;0,27;664413/12500000;2,5,0,0,0,1000;2,5,0,0,0,1000
54;C;1,14;5076107/25000000;2,20,1,0,42,471;2,20,0,0,24,2848
54;C;14,20;18074763/100000000;2,18,0,0,24,2448;2,18,0,0,13,3262
54;C;20,27;664413/12500000;2,5,0,0,13,662;2,5,0,0,0,1000
55;C;0,7;24617929/100000000;2,24,5,61,0,1054;2,24,5,62,0,931
56;C;0,7;24617929/100000000;2,24,4,61,0,1063;2,24,5,62,0,931
57;C;0,27;664413/12500000;2,5,0,6,0,964;2,5,0,7,0,951
58;C;0,27;664413/12500000;2,5,0,0,0,1000;2,5,7,0,0,951
59;C;7,17;5076107/25000000;2,20,5,62,0,131;2,20,6,22,0,3480
59;C;17,27;664413/12500000;2,5,6,22,0,480;2,5,7,0,0,951
60;C;0,1;7719281/20000000;2,38,0,15,42,3847;2,38,0,15,42,3847
61;C;0,27;664413/12500000;2,5,0,22,0,516;2,5,0,25,0,375
62;C;0,1;7719281/20000000;2,38,0,15,42,3847;2,38,0,15,42,3847
63;C;0,27;664413/12500000;2,5,0,16,0,744;2,5,0,25,0,375
64;C;1,14;5076107/25000000;2,20,15,0,42,247;2,20,19,0,24,2487
64;C;14,20;18074763/100000000;2,18,19,0,24,2087;2,18,21,0,13,2821
64;C;20,27;664413/12500000;2,5,21,0,13,221;2,5,25,0,0,375
65;C;0,1;7719281/20000000;2,38,1,61,5,3828;2,38,1,61,5,3828
66;C;0,7;24617929/100000000;2,24,0,61,0,1079;2,24,0,62,0,956
67;C;0,1;7719281/20000000;2,38,0,61,5,3829;2,38,1,61,5,3828
68;C;0,7;24617929/100000000;2,24,0,61,0,1079;2,24,0,62,0,956
69;C;1,7;24617929/100000000;2,24,61,1,5,1028;2,24,62,0,0,956
70;C;7,17;5076107/25000000;2,20,0,62,0,156;2,20,0,22,0,3516
70;C;17,27;664413/12500000;2,5,0,22,0,516;2,5,0,0,0,1000
71;C;0,1;7719281/20000000;2,38,0,61,18,3231;2,38,0,61,18,3231
72;C;0,1;7719281/20000000;2,38,0,61,18,3231;2,38,0,61,18,3231
73;C;1,9;2217413/10000000;2,22,61,0,18,31;2,22,63,0,10,231
73;C;9,10;21263501/100000000;2,21,63,0,10,31;2,21,63,0,9,69
73;L;10,11;21263501/100000000,5076107/25000000;2,21,63,0,9,69;8,20304428,63220000,0,5662024,168446848
73;L;11,12;5076107/25000000,20395101/100000000;8,20304428,63220000,0,5662024,168446848;8,20395101,63720000,0,3064442,190457272
73;L;12,13;20395101/100000000,20592477/100000000;8,20395101,63720000,0,3064442,190457272;8,20592477,64166909,0,742676,54103767
73;L;13,14;20592477/100000000,10311611/50000000;8,20592477,64166909,0,742676,54103767;8,20623222,64220000,0,466859,85348238
73;L;14,15;10311611/50000000,654481/3125000;8,20623222,64220000,0,466859,85348238;8,20943392,64720000,0,0,0
73;L;15,16;654481/3125000,10634121/50000000;8,20943392,64720000,0,0,0;8,21268242,65220000,0,0,0
73;L;16,17;10634121/50000000,21497241/100000000;8,21268242,65220000,0,0,0;8,21497241,65570177,0,0,88188671
74;C;0,1;7719281/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,4;18984751/50000000;2,37,0,61,0,3679;2,37,0,61,0,3679
76;C;0,1;7719281/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,4;18984751/50000000;2,37,0,61,0,3679;2,37,0,61,0,3679
78;C;1,4;18984751/50000000;2,37,61,0,0,3679;2,37,61,0,0,3679
79;C;0,19;1826619/10000000;2,18,0,23,0,3071;2,18,0,25,0,2975
80;C;0,19;1826619/10000000;2,18,0,30,0,2700;2,18,0,25,0,2975
81;C;4,11;5076107/25000000;2,20,0,61,0,279;2,20,0,46,0,1884
81;C;11,19;1826619/10000000;2,18,0,46,0,1484;2,18,0,25,0,2975
82;C;0,1;7719281/20000000;2,38,0,0,20,6800;2,38,0,0,20,6800
83;C;0,19;1826619/10000000;2,18,0,0,0,3600;2,18,0,0,0,3600
84;C;0,1;7719281/20000000;2,38,0,0,20,6800;2,38,0,0,20,6800
85;C;0,19;1826619/10000000;2,18,0,0,0,3600;2,18,0,0,0,3600
86;C;1,19;1826619/10000000;2,18,0,0,20,2800;2,18,0,0,0,3600
87;C;0,1;7719281/20000000;2,38,5,32,0,6551;2,38,5,32,0,6551
88;C;0,19;1826619/10000000;2,18,0,5,0,3575;2,18,0,6,0,3564
89;C;0,1;7719281/20000000;2,38,4,32,0,6560;2,38,5,32,0,6551
90;C;0,19;1826619/10000000;2,18,0,0,0,3600;2,18,6,0,0,3564
91;C;1,19;1826619/10000000;2,18,5,32,0,2551;2,18,6,0,0,3564
92;C;0,1;7719281/20000000;2,38,0,15,20,6575;2,38,0,15,20,6575
93;C;0,19;1826619/10000000;2,18,0,17,0,3311;2,18,0,19,0,3239
94;C;0,1;7719281/20000000;2,38,0,14,20,6604;2,38,0,15,20,6575
95;C;0,19;1826619/10000000;2,18,0,13,0,3431;2,18,0,19,0,3239
96;C;1,19;1826619/10000000;2,18,15,0,20,2575;2,18,19,0,0,3239
97;C;0,1;7719281/20000000;2,38,0,32,0,6576;2,38,0,32,0,6576
98;C;0,1;7719281/20000000;2,38,0,32,0,6576;2,38,0,32,0,6576
99;C;1,19;1826619/10000000;2,18,0,32,0,2576;2,18,0,0,0,3600
100;C;0,1;7719281/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;7719281/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,4;18984751/50000000;2,37,61,0,0,3679;2,37,61,0,0,3679
MASS SLACK NUMERATOR 14402260319789667543662092423292022200460488944684440658710860224576235662157613679284193281540242320047694297540733806867453

BIN 22: PPC; (339/247,340/247]; gamma0=6077/10000; mass ceiling=1992579/2000000.
GAMMA 0=6077/10000;1=3669246000000/6025177744007;2=3658454100000/6006475381307;3=3654856800000/5992989103607;4=3555931050000/5828802935657;5=6127/10000;6=6177/10000;7=3388656600000/5463998944007;8=6227/10000;9=2500123500000/3999088451507;10=6277/10000;11=6327/10000;12=6377/10000;13=1892179800000/2945522019407;14=6427/10000;15=6477/10000;16=6527/10000;17=2766323700000/4219333144007;18=6577/10000;19=1501423087500/2267220667741;20=6627/10000;21=6677/10000;22=6727/10000;23=6777/10000;24=6827/10000;25=6877/10000;26=6927/10000;27=2336446350000/3359578444007;28=6977/10000;29=7027/10000;30=7077/10000;31=7127/10000;32=7177/10000;33=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38580165,38737187;1,2,38737187,38695595;2,3,38695595,38403653;3,4,38403653,38334449;4,5,38334449,33525309;5,6,33525309,26323029;6,7,26323029,24673130;7,8,24673130,23259966;8,9,23259966,22133173;9,10,22133173,21247554;10,11,21247554,20301365;11,12,20301365,20408201;12,13,20408201,20634250;13,14,20634250,20653348;14,15,20653348,20975765;15,16,20975765,21300865;16,17,21300865,21492571;17,18,21492571,20361634;18,19,20361634,17992365;19,20,17992365,17755314;20,21,17755314,15327414;21,22,15327414,13077936;22,23,13077936,11006879;23,24,11006879,9114242;24,25,9114242,7400027;25,26,7400027,5864233;26,27,5864233,5093389;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;5136815515757/1332799650000,5/13,6025177744007/2665599300000;-26362700150330539
1;0,6,7;5/13,1,7;-2
3;0,3,7;63/247,3,1;-2
4;2,3,7;596/247,24/13,526/741;-316
5;2,3,8;522/247,56/39,526/741;-4
8;1,3,6;23/247,37/13,340/247;-23
9;1,4,10;326804099039/68348700000,15/13,6025177744007/2665599300000;-21236547650330539
10;0,10;4/13,1;-1
12;0,2,10;34/39,1,1;-1
13;2,3,10;619/247,1/3,526/741;-1
17;2,3,8;522/247,56/39,526/741;-4
19;0,3,13;12/19,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;18/13,79/13,155/13;-6
25;2,3,8;522/247,56/39,526/741;-4
26;1,3,12;80/247,40/13,340/247;-80
27;0,1,7;8/13,2,1;-1
28;0,6,7;18/13,1,7;-2
30;0,3,7;63/247,3,1;-2
31;2,3,7;843/247,24/13,433/494;-23
33;1,4,7;2252329504007/533119860000,46/13,6025177744007/2665599300000;-5174603150330539
35;1,3,6;23/247,37/13,340/247;-23
36;1,4,10;5751782944007/888533100000,2/13,6025177744007/2665599300000;-34564544150330539
37;0,10;4/13,1;-1
39;0,2,10;27/26,1,1;-1
42;1,4,10;2252329504007/533119860000,46/13,6025177744007/2665599300000;-5174603150330539
45;1,4,13;5341690744007/888533100000,5/13,6025177744007/2665599300000;-26362700150330539
46;0,3,13;12/19,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;18/13,66/13,129/13;-6
53;1,3,12;80/247,40/13,340/247;-80
54;0,1,7;21/13,2,1;-1
55;0,6,7;31/13,1,7;-2
57;0,1,12;7/13,3,1;-1
58;2,3,7;1090/247,61/26,1113/988;-23
60;0,1,12;7/13,3,1;-1
62;1,3,6;23/247,37/13,340/247;-23
63;0,1,10;11/13,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;2496564730591/333199912500,9/13,6025177744007/2665599300000;-18160856150330539
66;0,1,12;7/13,3,1;-1
69;0,1,12;7/13,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;12/19,2,1;-1
74;1,4,6;2496564730591/333199912500,9/13,6025177744007/2665599300000;-18160856150330539
75;0,7,13;49/13,1,6;-2
76;1,12,13;18/13,53/13,103/13;-6
80;1,3,12;80/247,40/13,340/247;-80
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;20547956625948167,30479906539653262294320900000,757198769855172801,121277
6;1,4,12,3;19131347868356867,2082502873683740157659100000,68011479646131034,5187
7;11,4,2,3;68011479646131034,28658004070894162294320900000,757198769855172801,228475
11;8,4,6,3;20547956625948167,3752380393378443223441931250,517791889822243101,79534
14;5,4,2,3;517791889822243101,2868259868748892930185168750,757198769855172801,125229
15;1,4,12,3;19131347868356867,2082502873683740157659100000,68011479646131034,5187
16;11,4,2,3;68011479646131034,28658004070894162294320900000,757198769855172801,228475
18;1,4,13,3;19131347868356867,260600404924640157659100000,20547956625948167,247
20;1,4,6,3;19131347868356867,5856176695093001279561081250,517791889822243101,3211
23;5,4,2,3;517791889822243101,2868259868748892930185168750,757198769855172801,125229
24;1,4,2,3;19131347868356867,47369464187736600000000000000,757198769855172801,61009
29;1,4,7,3;19131347868356867,14523559742230548189190920000,1498560967547270601,61997
32;8,4,2,3;1498560967547270601,3731684366439382718809080000,1456462816110113734,59033
34;1,4,2,3;19131347868356867,35527098140802450000000000000,1456462816110113734,61009
38;1,4,6,3;19131347868356867,5661157709970780118244325000,168415571065556867,3211
41;5,4,2,3;168415571065556867,19071031660748845449255675000,1456462816110113734,48165
43;1,4,2,3;19131347868356867,35527098140802450000000000000,1456462816110113734,61009
44;8,4,2,3;1498560967547270601,3731684366439382718809080000,1456462816110113734,59033
47;1,4,6,3;19131347868356867,5661157709970780118244325000,168415571065556867,3211
50;5,4,2,3;168415571065556867,19071031660748845449255675000,1456462816110113734,48165
51;1,4,9,3;19131347868356867,14523559742230548189190920000,1498560967547270601,61997
52;8,4,2,3;1498560967547270601,3731684366439382718809080000,1456462816110113734,59033
56;1,4,7,3;19131347868356867,312720485909568189190920000,95717354078773401,247
59;8,4,2,3;95717354078773401,3895772108510772754304040000,1221494906612287684,179075
61;1,4,2,3;19131347868356867,8881774535200612500000000000,1221494906612287684,61009
68;1,4,2,3;19131347868356867,8881774535200612500000000000,1221494906612287684,61009
70;1,4,2,3;19131347868356867,8881774535200612500000000000,1221494906612287684,61009
71;8,4,2,3;95717354078773401,3895772108510772754304040000,1221494906612287684,179075
77;1,4,2,3;19131347868356867,8881774535200612500000000000,1221494906612287684,61009
78;1,4,9,3;19131347868356867,312720485909568189190920000,95717354078773401,247
79;8,4,2,3;95717354078773401,3895772108510772754304040000,1221494906612287684,179075
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/13;E/4,5/2/0/2;E/4,2/3/0/13;E/4,3/4/2/13
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/13;E/4,11/8/0/4;E/4,2/11/0/13;E/4,3/12/4/13
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/13;E/4,5/14/0/9;E/4,2/16/0/13;E/4,3/17/9/13
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/13;E/4,11/21/0/4;E/4,2/24/0/13;E/4,3/25/4/13
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/13;E/4,5/32/0/9;E/4,2/35/0/13;E/4,3/36/9/13
24:V/3,1/37/0/1;V/2,3/38/0/13;E/4,1/39/0/1;E/4,2/40/0/13;E/4,3/41/1/13
29:V/3,1/42/0/1;V/7,3/43/0/17;E/4,1/44/0/1;E/4,7/45/0/17;E/4,3/46/1/17
32:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
34:V/3,1/50/0/1;V/2,3/51/0/27;E/4,1/52/0/1;E/4,2/53/0/27;E/4,3/54/1/27
38:V/3,1/42/0/1;V/6,3/55/0/7;E/4,1/44/0/1;E/4,6/56/0/7;E/4,3/46/1/7
40:V/2,3/51/0/27;E/4,2/53/0/27
41:V/3,5/55/0/7;V/2,3/57/0/27;E/4,5/56/0/7;E/4,2/58/0/27;E/4,3/59/7/27
43:V/3,1/60/0/1;V/2,3/61/0/27;E/4,1/62/0/1;E/4,2/63/0/27;E/4,3/64/1/27
44:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
47:V/3,1/65/0/1;V/6,3/66/0/7;E/4,1/67/0/1;E/4,6/68/0/7;E/4,3/69/1/7
50:V/3,5/66/0/7;V/2,3/51/0/27;E/4,5/68/0/7;E/4,2/53/0/27;E/4,3/70/7/27
51:V/3,1/71/0/1;V/9,3/43/0/17;E/4,1/72/0/1;E/4,9/45/0/17;E/4,3/73/1/17
52:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
56:V/3,1/74/0/1;V/7,3/75/0/3;E/4,1/76/0/1;E/4,7/77/0/3;E/4,3/78/1/3
59:V/3,8/75/0/3;V/2,3/79/0/19;E/4,8/77/0/3;E/4,2/80/0/19;E/4,3/81/3/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/3;V/2,3/79/0/19;E/4,8/77/0/3;E/4,2/80/0/19;E/4,3/81/3/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/3;E/4,1/101/0/1;E/4,9/77/0/3;E/4,3/102/1/3
79:V/3,8/75/0/3;V/2,3/79/0/19;E/4,8/77/0/3;E/4,2/80/0/19;E/4,3/81/3/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;7716033/20000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,6;26323029/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
1;C;6,9;22133173/100000000;2,22,0,62,0,556;2,22,0,63,0,431
1;C;9,11;4060273/20000000;2,20,0,63,0,31;4,2030,0,6327,0,569071
1;L;11,12;4060273/20000000,20408201/100000000;4,2030,0,6327,0,569071;4,2040,0,6377,0,133871
1;L;12,13;20408201/100000000,82537/400000;4,2040,0,6377,0,133871;6,206342,0,642393,0,15233551
2;C;0,2;7716033/20000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,6;26323029/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
3;C;6,9;22133173/100000000;2,22,0,62,0,556;2,22,0,63,0,431
3;C;9,11;4060273/20000000;2,20,0,63,0,31;4,2030,0,6327,0,569071
3;L;11,12;4060273/20000000,20408201/100000000;4,2030,0,6327,0,569071;4,2040,0,6377,0,133871
3;L;12,13;20408201/100000000,82537/400000;4,2040,0,6377,0,133871;6,206342,0,642393,0,15233551
4;C;2,4;38334449/100000000;2,38,61,61,0,158;2,38,62,58,0,392
4;L;4,5;38334449/100000000,33525309/100000000;2,38,62,58,0,392;2,33,62,49,0,355
4;L;5,6;33525309/100000000,26323029/100000000;2,33,62,49,0,355;2,26,62,32,0,332
4;C;6,7;2467313/10000000;4,2467,6177,3157,0,1218022;2,24,63,24,0,255
4;C;7,8;11629983/50000000;2,23,63,24,0,55;2,23,63,15,0,406
4;C;8,10;10623777/50000000;2,21,63,15,0,6;2,21,63,0,0,231
4;C;10,11;4060273/20000000;2,20,63,0,0,31;4,2030,6327,0,0,569071
4;L;11,12;4060273/20000000,20408201/100000000;4,2030,6327,0,0,569071;4,2040,6377,0,0,133871
4;L;12,13;20408201/100000000,82537/400000;4,2040,6377,0,0,133871;6,206342,642393,0,0,15233551
5;C;0,1;7716033/20000000;2,38,0,1,61,157;2,38,0,1,61,157
6;C;0,4;38334449/100000000;2,38,0,1,61,157;4,3833,0,53,6101,2212789
7;C;0,1;7716033/20000000;2,38,1,0,61,157;2,38,1,0,61,157
8;C;0,4;38334449/100000000;2,38,0,0,61,158;4,3833,53,0,6101,2212789
9;C;1,4;38334449/100000000;2,38,1,0,61,157;4,3833,53,0,6101,2212789
10;C;0,13;4060273/20000000;2,20,0,0,9,3838;2,20,0,0,10,3800
11;C;0,13;4060273/20000000;2,20,0,0,8,3872;2,20,0,0,10,3800
12;L;4,5;38334449/100000000,33525309/100000000;4,3833,53,0,6101,2212789;2,33,1,0,57,101
12;L;5,6;33525309/100000000,26323029/100000000;2,33,1,0,57,101;2,26,1,0,49,397
12;C;6,7;2467313/10000000;4,2467,30,0,4878,1749332;2,24,1,0,45,749
12;C;7,8;11629983/50000000;2,23,1,0,45,549;2,23,1,0,41,1237
12;C;8,13;4060273/20000000;2,20,1,0,41,637;2,20,0,0,10,3800
13;C;0,9;22133173/100000000;2,22,6,61,0,643;2,22,7,63,0,382
14;C;0,9;22133173/100000000;2,22,5,61,0,654;2,22,7,63,0,382
15;C;0,13;4060273/20000000;2,20,4,8,0,3920;2,20,4,8,0,3920
16;C;0,13;4060273/20000000;2,20,5,4,0,3959;2,20,8,4,0,3920
17;C;9,13;4060273/20000000;4,2030,612,6252,0,1137952;2,20,8,4,0,3920
18;L;0,1;7716033/20000000,38737187/100000000;4,3858,0,1814,6077,9546;8,38737187,0,18170582,60898552,78387868
19;C;0,4;38334449/100000000;4,3833,0,1489,6077,583021;8,38334449,0,14945812,61006198,114830248
20;L;0,1;7716033/20000000,38737187/100000000;8,38580165,0,18167199,60770000,80494399;8,38737187,0,18170582,60898552,78387868
21;C;0,4;38334449/100000000;4,3833,0,1474,6077,627466;8,38334449,0,14945812,61006198,114830248
22;L;1,2;38737187/100000000,7739119/20000000;8,38737187,0,18170582,60898552,78387868;8,38695595,0,17872546,60908501,111343882
22;L;2,3;7739119/20000000,38403653/100000000;8,38695595,0,17872546,60908501,111343882;10,3840365300,0,1556464649,6098554056,648505204527
22;L;3,4;38403653/100000000,38334449/100000000;10,3840365300,0,1556464649,6098554056,648505204527;8,38334449,0,14945812,61006198,114830248
23;C;0,13;4060273/20000000;2,20,0,27,9,3109;2,20,0,29,10,2959
24;C;0,13;4060273/20000000;2,20,0,25,8,3247;2,20,0,29,10,2959
25;L;4,5;38334449/100000000,33525309/100000000;8,38334449,14945812,0,61006198,114830248;10,3352530900,1601828334,0,5678237529,1116906732762
25;L;5,6;33525309/100000000,26323029/100000000;10,3352530900,1601828334,0,5678237529,1116906732762;2,26,19,0,49,37
25;L;6,7;26323029/100000000,2467313/10000000;2,26,19,0,49,37;2,24,20,0,45,350
25;C;7,8;11629983/50000000;2,23,20,0,45,150;2,23,21,0,41,797
25;C;8,13;4060273/20000000;2,20,21,0,41,197;2,20,29,0,10,2959
26;C;0,1;7716033/20000000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;7716033/20000000;2,38,61,61,0,158;2,38,61,61,0,158
28;C;1,2;7739119/20000000;2,38,61,61,0,158;2,38,61,61,0,158
29;C;0,1;7716033/20000000;2,38,1,61,27,2420;2,38,1,61,27,2420
30;C;0,9;22133173/100000000;2,22,1,61,0,678;2,22,1,63,0,430
31;C;0,1;7716033/20000000;2,38,1,61,27,2420;2,38,1,61,27,2420
32;C;0,9;22133173/100000000;2,22,0,61,0,679;2,22,1,63,0,430
33;C;1,5;33525309/100000000;2,33,61,1,27,1420;2,33,62,1,20,1955
33;C;5,7;2467313/10000000;2,24,62,1,20,155;2,24,63,1,6,758
33;C;7,9;22133173/100000000;2,22,63,1,6,358;2,22,63,1,0,430
34;C;0,13;4060273/20000000;2,20,0,4,0,3984;2,20,0,4,0,3984
35;C;0,13;4060273/20000000;2,20,0,4,0,3984;2,20,0,4,0,3984
36;C;9,13;4060273/20000000;2,20,1,63,0,30;2,20,0,4,0,3984
37;C;0,1;7716033/20000000;2,38,0,61,40,679;2,38,0,61,40,679
38;C;0,6;26323029/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
38;C;6,9;22133173/100000000;2,22,0,62,0,556;2,22,0,63,0,431
38;C;9,11;4060273/20000000;2,20,0,63,0,31;4,2030,0,6327,0,569071
38;L;11,12;4060273/20000000,20408201/100000000;4,2030,0,6327,0,569071;4,2040,0,6377,0,133871
38;L;12,13;20408201/100000000,82537/400000;4,2040,0,6377,0,133871;6,206342,0,642393,0,15233551
39;C;0,1;7716033/20000000;2,38,0,61,40,679;2,38,0,61,40,679
40;C;0,6;26323029/100000000;2,26,0,61,0,1479;2,26,0,62,0,1356
40;C;6,9;22133173/100000000;2,22,0,62,0,556;2,22,0,63,0,431
40;C;9,11;4060273/20000000;2,20,0,63,0,31;4,2030,0,6327,0,569071
40;L;11,12;4060273/20000000,20408201/100000000;4,2030,0,6327,0,569071;4,2040,0,6377,0,133871
40;L;12,13;20408201/100000000,82537/400000;4,2040,0,6377,0,133871;6,206342,0,642393,0,15233551
41;C;1,4;38334449/100000000;2,38,61,0,40,679;2,38,62,0,38,868
41;C;4,5;33525309/100000000;4,3352,6101,0,3798,968191;2,33,62,0,35,306
41;L;5,6;33525309/100000000,26323029/100000000;2,33,62,0,35,306;8,26323029,61770000,0,26917214,80956408
41;L;6,7;26323029/100000000,2467313/10000000;8,26323029,61770000,0,26917214,80956408;10,2467313000,6201788534,0,2332817908,195775137916
41;L;7,8;2467313/10000000,11629983/50000000;10,2467313000,6201788534,0,2332817908,195775137916;8,23259966,62270000,0,19677910,16063800
41;L;8,9;11629983/50000000,22133173/100000000;8,23259966,62270000,0,19677910,16063800;8,22133173,62517335,0,16096853,71490557
41;L;9,10;22133173/100000000,10623777/50000000;8,22133173,62517335,0,16096853,71490557;8,21247554,62770000,0,12438607,11799102
41;L;10,11;10623777/50000000,4060273/20000000;8,21247554,62770000,0,12438607,11799102;4,2030,6327,0,520,28271
41;L;11,12;4060273/20000000,20408201/100000000;4,2030,6327,0,520,28271;4,2040,6377,0,0,133871
41;L;12,13;20408201/100000000,82537/400000;4,2040,6377,0,0,133871;6,206342,642393,0,0,15233551
42;C;0,1;7716033/20000000;2,38,18,61,0,3555;2,38,18,61,0,3555
43;C;0,8;11629983/50000000;2,23,0,61,0,879;2,23,0,63,0,631
43;C;8,10;10623777/50000000;2,21,0,63,0,231;2,21,0,63,0,231
43;C;10,11;4060273/20000000;2,20,0,63,0,31;4,2030,0,6327,0,569071
43;L;11,12;4060273/20000000,20408201/100000000;4,2030,0,6327,0,569071;4,2040,0,6377,0,133871
43;L;12,13;20408201/100000000,82537/400000;4,2040,0,6377,0,133871;6,206342,0,642393,0,15233551
43;L;13,14;82537/400000,5163337/25000000;6,206342,0,642393,0,15233551;6,206533,0,642700,0,2710000
43;L;14,15;5163337/25000000,4195153/20000000;6,206533,0,642700,0,2710000;8,20975765,0,64770000,0,100000000
43;L;15,16;4195153/20000000,4260173/20000000;8,20975765,0,64770000,0,100000000;8,21300865,0,65270000,0,100000000
43;L;16,17;4260173/20000000,21492571/100000000;8,21300865,0,65270000,0,100000000;8,21492571,0,65563055,0,19066975
44;C;0,1;7716033/20000000;2,38,61,18,0,3555;2,38,61,18,0,3555
45;C;0,8;11629983/50000000;2,23,0,61,0,879;2,23,0,63,0,631
45;C;8,10;10623777/50000000;2,21,0,63,0,231;2,21,0,63,0,231
45;C;10,11;4060273/20000000;2,20,0,63,0,31;4,2030,0,6327,0,569071
45;L;11,12;4060273/20000000,20408201/100000000;4,2030,0,6327,0,569071;4,2040,0,6377,0,133871
45;L;12,13;20408201/100000000,82537/400000;4,2040,0,6377,0,133871;6,206342,0,642393,0,15233551
45;L;13,14;82537/400000,5163337/25000000;6,206342,0,642393,0,15233551;6,206533,0,642700,0,2710000
45;L;14,15;5163337/25000000,4195153/20000000;6,206533,0,642700,0,2710000;8,20975765,0,64770000,0,100000000
45;L;15,16;4195153/20000000,4260173/20000000;8,20975765,0,64770000,0,100000000;8,21300865,0,65270000,0,100000000
45;L;16,17;4260173/20000000,21492571/100000000;8,21300865,0,65270000,0,100000000;8,21492571,0,65563055,0,19066975
46;C;1,9;22133173/100000000;2,22,61,18,0,355;2,22,63,0,0,431
46;C;9,11;4060273/20000000;2,20,63,0,0,31;4,2030,6327,0,0,569071
46;L;11,12;4060273/20000000,20408201/100000000;4,2030,6327,0,0,569071;4,2040,6377,0,0,133871
46;L;12,13;20408201/100000000,82537/400000;4,2040,6377,0,0,133871;6,206342,642393,0,0,15233551
46;L;13,14;82537/400000,5163337/25000000;6,206342,642393,0,0,15233551;6,206533,642700,0,0,2710000
46;L;14,15;5163337/25000000,4195153/20000000;6,206533,642700,0,0,2710000;8,20975765,64770000,0,0,100000000
46;L;15,16;4195153/20000000,4260173/20000000;8,20975765,64770000,0,0,100000000;8,21300865,65270000,0,0,100000000
46;L;16,17;4260173/20000000,21492571/100000000;8,21300865,65270000,0,0,100000000;8,21492571,65563055,0,0,19066975
47;C;0,27;5093389/100000000;2,5,0,28,0,216;8,5093389,0,31916730,0,146107100
48;C;0,13;4060273/20000000;2,20,0,41,0,2319;2,20,0,38,0,2556
48;C;13,20;8877657/50000000;2,17,0,38,0,1956;2,17,0,36,0,2104
48;C;20,23;11006879/100000000;2,11,0,36,0,904;2,11,0,34,0,1044
48;C;23,25;7400027/100000000;2,7,0,34,0,244;2,7,0,33,0,311
48;C;25,26;5864233/100000000;4,586,0,3267,0,1046711;4,586,0,3219,0,1358039
48;L;26,27;5864233/100000000,5093389/100000000;4,586,0,3219,0,1358039;8,5093389,0,31916730,0,146107100
49;L;17,18;21492571/100000000,10180817/50000000;8,21492571,0,65563055,0,19066975;8,20361634,0,63814785,0,15403775
49;L;18,19;10180817/50000000,3598473/20000000;8,20361634,0,63814785,0,15403775;10,1799236500,0,5998727322,0,516290708316
49;L;19,20;3598473/20000000,8877657/50000000;10,1799236500,0,5998727322,0,516290708316;8,17755314,0,59590794,0,70449564
49;L;20,21;8877657/50000000,7663707/50000000;8,17755314,0,59590794,0,70449564;10,1532741400,0,5536680221,0,130387391159
49;L;21,22;7663707/50000000,817371/6250000;10,1532741400,0,5536680221,0,130387391159;8,13077936,0,51142811,0,83018279
49;L;22,23;817371/6250000,11006879/100000000;8,13077936,0,51142811,0,83018279;8,11006879,0,46918820,0,129807600
49;L;23,24;11006879/100000000,4557121/50000000;8,11006879,0,46918820,0,129807600;10,911424200,0,4269482801,0,611965194399
49;L;24,25;4557121/50000000,7400027/100000000;10,911424200,0,4269482801,0,611965194399;8,7400027,0,38470837,0,100519431
49;L;25,26;7400027/100000000,5864233/100000000;8,7400027,0,38470837,0,100519431;8,5864233,0,34246846,0,139052284
49;L;26,27;5864233/100000000,5093389/100000000;8,5864233,0,34246846,0,139052284;8,5093389,0,31916730,0,146107100
50;C;0,1;7716033/20000000;2,38,0,1,41,4237;2,38,0,1,42,4071
51;C;0,27;5093389/100000000;2,5,0,0,0,1000;2,5,0,0,0,1000
52;C;0,1;7716033/20000000;2,38,0,0,41,4238;2,38,1,0,42,4071
53;C;0,27;5093389/100000000;2,5,0,0,0,1000;2,5,0,0,0,1000
54;C;1,14;4060273/20000000;2,20,1,0,42,471;2,20,0,0,24,2848
54;C;14,20;8877657/50000000;2,17,0,0,24,2248;2,17,0,0,13,3062
54;C;20,27;5093389/100000000;2,5,0,0,13,662;2,5,0,0,0,1000
55;C;0,7;2467313/10000000;2,24,5,61,0,1054;2,24,5,63,0,806
56;C;0,7;2467313/10000000;2,24,4,61,0,1063;2,24,5,63,0,806
57;C;0,27;5093389/100000000;2,5,0,6,0,964;2,5,0,7,0,951
58;C;0,27;5093389/100000000;2,5,0,0,0,1000;2,5,7,0,0,951
59;C;7,17;4060273/20000000;2,20,5,63,0,6;2,20,6,23,0,3435
59;C;17,27;5093389/100000000;2,5,6,23,0,435;2,5,7,0,0,951
60;C;0,1;7716033/20000000;2,38,0,15,41,4013;2,38,0,15,42,3847
61;C;0,27;5093389/100000000;2,5,0,22,0,516;2,5,0,25,0,375
62;C;0,1;7716033/20000000;2,38,0,15,41,4013;2,38,0,15,42,3847
63;C;0,27;5093389/100000000;2,5,0,16,0,744;2,5,0,25,0,375
64;C;1,14;4060273/20000000;2,20,15,0,42,247;2,20,19,0,24,2487
64;C;14,20;8877657/50000000;2,17,19,0,24,1887;2,17,21,0,13,2621
64;C;20,27;5093389/100000000;2,5,21,0,13,221;2,5,25,0,0,375
65;C;0,1;7716033/20000000;2,38,1,61,5,3828;2,38,1,61,5,3828
66;C;0,7;2467313/10000000;2,24,1,61,0,1078;2,24,1,63,0,830
67;C;0,1;7716033/20000000;2,38,0,61,5,3829;2,38,1,61,5,3828
68;C;0,7;2467313/10000000;2,24,0,61,0,1079;2,24,1,63,0,830
69;C;1,7;2467313/10000000;2,24,61,1,5,1028;2,24,63,1,0,830
70;C;7,17;4060273/20000000;2,20,1,63,0,30;2,20,0,23,0,3471
70;C;17,27;5093389/100000000;2,5,0,23,0,471;2,5,0,0,0,1000
71;C;0,1;7716033/20000000;2,38,0,61,18,3231;2,38,0,61,18,3231
72;C;0,1;7716033/20000000;2,38,0,61,18,3231;2,38,0,61,18,3231
73;C;1,9;22133173/100000000;2,22,61,0,18,31;2,22,63,0,10,231
73;C;9,10;10623777/50000000;2,21,63,0,10,31;2,21,63,0,8,103
73;L;10,11;10623777/50000000,4060273/20000000;2,21,63,0,8,103;8,20301365,63270000,0,5346962,94741112
73;L;11,12;4060273/20000000,20408201/100000000;8,20301365,63270000,0,5346962,94741112;8,20408201,63770000,0,2741098,63508792
73;L;12,13;20408201/100000000,82537/400000;8,20408201,63770000,0,2741098,63508792;8,20634250,64239201,0,295753,115207581
73;L;13,14;82537/400000,5163337/25000000;8,20634250,64239201,0,295753,115207581;8,20653348,64270000,0,135235,122989550
73;L;14,15;5163337/25000000,4195153/20000000;8,20653348,64270000,0,135235,122989550;8,20975765,64770000,0,0,100000000
73;L;15,16;4195153/20000000,4260173/20000000;8,20975765,64770000,0,0,100000000;8,21300865,65270000,0,0,100000000
73;L;16,17;4260173/20000000,21492571/100000000;8,21300865,65270000,0,0,100000000;8,21492571,65563055,0,0,19066975
74;C;0,1;7716033/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,3;38403653/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
76;C;0,1;7716033/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,3;38403653/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
78;C;1,3;38403653/100000000;2,38,61,0,0,3879;2,38,61,0,0,3879
79;C;0,19;3598473/20000000;2,17,0,22,0,2916;2,17,0,24,0,2824
80;C;0,19;3598473/20000000;2,17,0,30,0,2500;2,17,0,24,0,2824
81;C;3,11;4060273/20000000;2,20,0,61,0,279;2,20,0,45,0,1975
81;C;11,19;3598473/20000000;2,17,0,45,0,1375;2,17,0,24,0,2824
82;C;0,1;7716033/20000000;2,38,0,0,20,6800;2,38,0,0,20,6800
83;C;0,19;3598473/20000000;2,17,0,0,0,3400;2,17,0,0,0,3400
84;C;0,1;7716033/20000000;2,38,0,0,20,6800;2,38,0,0,20,6800
85;C;0,19;3598473/20000000;2,17,0,0,0,3400;2,17,0,0,0,3400
86;C;1,19;3598473/20000000;2,17,0,0,20,2600;2,17,0,0,0,3400
87;C;0,1;7716033/20000000;2,38,4,32,0,6560;2,38,4,32,0,6560
88;C;0,19;3598473/20000000;2,17,0,5,0,3375;2,17,0,6,0,3364
89;C;0,1;7716033/20000000;2,38,4,32,0,6560;2,38,4,32,0,6560
90;C;0,19;3598473/20000000;2,17,0,0,0,3400;2,17,6,0,0,3364
91;C;1,19;3598473/20000000;2,17,4,32,0,2360;2,17,6,0,0,3364
92;C;0,1;7716033/20000000;2,38,0,14,20,6604;2,38,0,15,20,6575
93;C;0,19;3598473/20000000;2,17,0,17,0,3111;2,17,0,19,0,3039
94;C;0,1;7716033/20000000;2,38,0,14,20,6604;2,38,0,15,20,6575
95;C;0,19;3598473/20000000;2,17,0,13,0,3231;2,17,0,19,0,3039
96;C;1,19;3598473/20000000;2,17,15,0,20,2375;2,17,19,0,0,3039
97;C;0,1;7716033/20000000;2,38,0,32,0,6576;2,38,0,32,0,6576
98;C;0,1;7716033/20000000;2,38,0,32,0,6576;2,38,0,32,0,6576
99;C;1,19;3598473/20000000;2,17,0,32,0,2376;2,17,0,0,0,3400
100;C;0,1;7716033/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;7716033/20000000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,3;38403653/100000000;2,38,61,0,0,3879;2,38,61,0,0,3879
MASS SLACK NUMERATOR 148944721709734373307592568716244127594364267902718055709597136545254193838703832028653858146983494778937451030695466280119448021

BIN 23: PPC; (340/247,341/247]; gamma0=6081/10000; mass ceiling=49873459/50000000.
GAMMA 0=6081/10000;1=3680037900000/6038677744007;2=3674641950000/6029326562657;3=3672843300000/6022583423807;4=3572118900000/5851654117007;5=6131/10000;6=6181/10000;7=3403045800000/5484693544007;8=6231/10000;9=2514512700000/4018822572407;10=6281/10000;11=6331/10000;12=6381/10000;13=6431/10000;14=1902971700000/2959022019407;15=6481/10000;16=6531/10000;17=2784310200000/4247222344007;18=6581/10000;19=1506819037500/2273970667741;20=6631/10000;21=6681/10000;22=6731/10000;23=6781/10000;24=6831/10000;25=6881/10000;26=6931/10000;27=2347238250000/3373078444007;28=6981/10000;29=7031/10000;30=7081/10000;31=7131/10000;32=7181/10000;33=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38553292,38713341;1,2,38713341,38692970;2,3,38692970,38544733;3,4,38544733,38339034;4,5,38339034,33509637;5,6,33509637,26290967;6,7,26290967,24726090;7,8,24726090,23253916;8,9,23253916,22093149;9,10,22093149,21259759;10,11,21259759,20308497;11,12,20308497,20419529;12,13,20419529,20678881;13,14,20678881,20679417;14,15,20679417,21001681;15,16,21001681,21326981;16,17,21326981,21487963;17,18,21487963,20093531;18,19,20093531,17718493;19,20,17718493,17484991;20,21,17484991,15057742;21,22,15057742,12811787;22,23,12811787,10747123;23,24,10747123,8863752;24,25,8863752,7161674;25,26,7161674,5640888;26,27,5640888,4875295;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;5150315515757/1332799650000,5/13,6038677744007/2665599300000;-8822964787102189
1;0,6,7;5/13,1,7;-2
3;0,3,7;60/247,3,1;-2
4;2,3,7;602/247,24/13,529/741;-310
5;2,3,8;527/247,56/39,529/741;-2
8;1,3,6;21/247,37/13,341/247;-21
9;1,4,10;4261953287507/888533100000,15/13,6038677744007/2665599300000;-547249791315553
10;0,10;4/13,1;-1
12;0,2,10;34/39,1,1;-1
13;2,3,10;623/247,1/3,529/741;-1
17;2,3,8;527/247,56/39,529/741;-2
19;0,3,13;154/247,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;18/13,79/13,155/13;-6
25;2,3,8;527/247,56/39,529/741;-2
26;1,3,12;6/19,40/13,341/247;-6
27;0,1,7;8/13,2,1;-1
28;0,6,7;18/13,1,7;-2
30;0,3,7;60/247,3,1;-2
31;2,3,7;849/247,24/13,435/494;-21
33;1,4,7;2265829504007/533119860000,46/13,6038677744007/2665599300000;-1760265787102189
35;1,3,6;21/247,37/13,341/247;-21
36;1,4,10;5765282944007/888533100000,2/13,6038677744007/2665599300000;-888993291315553
37;0,10;4/13,1;-1
39;0,2,10;27/26,1,1;-1
42;1,4,10;2265829504007/533119860000,46/13,6038677744007/2665599300000;-1760265787102189
45;1,4,13;411937749539/68348700000,5/13,6038677744007/2665599300000;-8822964787102189
46;0,3,13;154/247,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;18/13,66/13,129/13;-6
53;1,3,12;6/19,40/13,341/247;-6
54;0,1,7;21/13,2,1;-1
55;0,6,7;31/13,1,7;-2
57;0,1,12;7/13,3,1;-1
58;2,3,7;1096/247,61/26,1117/988;-21
60;0,1,12;7/13,3,1;-1
62;1,3,6;21/247,37/13,341/247;-21
63;0,1,10;11/13,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;2503314730591/333199912500,9/13,6038677744007/2665599300000;-6089016787102189
66;0,1,12;7/13,3,1;-1
69;0,1,12;7/13,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;154/247,2,1;-1
74;1,4,6;2503314730591/333199912500,9/13,6038677744007/2665599300000;-6089016787102189
75;0,7,13;49/13,1,6;-2
76;1,12,13;18/13,53/13,103/13;-6
80;1,3,12;6/19,40/13,341/247;-6
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;13516609402164934,10187772702314066713935900000,255868312696550151,243295
6;1,4,12,3;6519123585759317,662715267401051991044100000,11302745892222317,2470
7;11,4,2,3;11302745892222317,9580471879394366713935900000,255868312696550151,114608
11;8,4,6,3;13516609402164934,113846540413035664813556250,58182244495559717,53105
14;5,4,2,3;58182244495559717,961299845871856258862981250,255868312696550151,41990
15;1,4,12,3;6519123585759317,662715267401051991044100000,11302745892222317,2470
16;11,4,2,3;11302745892222317,9580471879394366713935900000,255868312696550151,114608
18;1,4,13,3;6519123585759317,55414444481351991044100000,13516609402164934,247
20;1,4,6,3;6519123585759317,1946161581396797248320768750,58182244495559717,26676
23;5,4,2,3;58182244495559717,961299845871856258862981250,255868312696550151,41990
24;1,4,2,3;6519123585759317,15789821395912200000000000000,255868312696550151,122018
29;1,4,7,3;6519123585759317,4803443752151282389252920000,165962834248359317,20501
32;8,4,2,3;165962834248359317,1277848060270342318747080000,487527362034918634,2223
34;1,4,2,3;6519123585759317,11842366046934150000000000000,487527362034918634,61009
38;1,4,6,3;6519123585759317,1863463302120113993283075000,167475030046677951,1729
41;5,4,2,3;167475030046677951,6378231348243707699216925000,487527362034918634,144989
43;1,4,2,3;6519123585759317,11842366046934150000000000000,487527362034918634,61009
44;8,4,2,3;165962834248359317,1277848060270342318747080000,487527362034918634,2223
47;1,4,6,3;6519123585759317,1863463302120113993283075000,167475030046677951,1729
50;5,4,2,3;167475030046677951,6378231348243707699216925000,487527362034918634,144989
51;1,4,9,3;6519123585759317,4803443752151282389252920000,165962834248359317,20501
52;8,4,2,3;165962834248359317,1277848060270342318747080000,487527362034918634,2223
56;1,4,7,3;6519123585759317,66497333377622389252920000,25960490357919351,494
59;8,4,2,3;25960490357919351,1316402462219161420598040000,408430882511125084,181051
61;1,4,2,3;6519123585759317,2960591511733537500000000000,408430882511125084,61009
68;1,4,2,3;6519123585759317,2960591511733537500000000000,408430882511125084,61009
70;1,4,2,3;6519123585759317,2960591511733537500000000000,408430882511125084,61009
71;8,4,2,3;25960490357919351,1316402462219161420598040000,408430882511125084,181051
77;1,4,2,3;6519123585759317,2960591511733537500000000000,408430882511125084,61009
78;1,4,9,3;6519123585759317,66497333377622389252920000,25960490357919351,494
79;8,4,2,3;25960490357919351,1316402462219161420598040000,408430882511125084,181051
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;V;3,1
27;18;E;4,1
28;18;E;4,3
29;20;V;3,1
30;20;V;6,3
31;20;E;4,1
32;20;E;4,6
33;20;E;4,3
34;23;V;2,3
35;23;E;4,2
36;23;E;4,3
37;24;V;3,1
38;24;V;2,3
39;24;E;4,1
40;24;E;4,2
41;24;E;4,3
42;29;V;3,1
43;29;V;7,3
44;29;E;4,1
45;29;E;4,7
46;29;E;4,3
47;32;V;2,3
48;32;E;4,2
49;32;E;4,3
50;34;V;3,1
51;34;V;2,3
52;34;E;4,1
53;34;E;4,2
54;34;E;4,3
55;38;V;6,3
56;38;E;4,6
57;41;V;2,3
58;41;E;4,2
59;41;E;4,3
60;43;V;3,1
61;43;V;2,3
62;43;E;4,1
63;43;E;4,2
64;43;E;4,3
65;47;V;3,1
66;47;V;6,3
67;47;E;4,1
68;47;E;4,6
69;47;E;4,3
70;50;E;4,3
71;51;V;3,1
72;51;E;4,1
73;51;E;4,3
74;56;V;3,1
75;56;V;7,3
76;56;E;4,1
77;56;E;4,7
78;56;E;4,3
79;59;V;2,3
80;59;E;4,2
81;59;E;4,3
82;61;V;3,1
83;61;V;2,3
84;61;E;4,1
85;61;E;4,2
86;61;E;4,3
87;68;V;3,1
88;68;V;2,3
89;68;E;4,1
90;68;E;4,2
91;68;E;4,3
92;70;V;3,1
93;70;V;2,3
94;70;E;4,1
95;70;E;4,2
96;70;E;4,3
97;77;V;3,1
98;77;E;4,1
99;77;E;4,3
100;78;V;3,1
101;78;E;4,1
102;78;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:
2:V/3,5/0/0/2;V/2,3/1/0/14;E/4,5/2/0/2;E/4,2/3/0/14;E/4,3/4/2/14
6:V/3,1/5/0/1;V/12,3/6/0/4;E/4,1/7/0/1;E/4,12/8/0/4;E/4,3/9/1/4
7:V/3,11/6/0/4;V/2,3/10/0/14;E/4,11/8/0/4;E/4,2/11/0/14;E/4,3/12/4/14
11:V/3,8/0/0/2;V/6,3/13/0/9;E/4,8/2/0/2;E/4,6/14/0/9;E/4,3/4/2/9
14:V/3,5/13/0/9;V/2,3/15/0/14;E/4,5/14/0/9;E/4,2/16/0/14;E/4,3/17/9/14
15:V/3,1/18/0/1;V/12,3/19/0/4;E/4,1/20/0/1;E/4,12/21/0/4;E/4,3/22/1/4
16:V/3,11/19/0/4;V/2,3/23/0/14;E/4,11/21/0/4;E/4,2/24/0/14;E/4,3/25/4/14
18:V/3,1/26/0/1;V/13,3/0/0/2;E/4,1/27/0/1;E/4,13/2/0/2;E/4,3/28/1/2
20:V/3,1/29/0/1;V/6,3/30/0/9;E/4,1/31/0/1;E/4,6/32/0/9;E/4,3/33/1/9
23:V/3,5/30/0/9;V/2,3/34/0/14;E/4,5/32/0/9;E/4,2/35/0/14;E/4,3/36/9/14
24:V/3,1/37/0/1;V/2,3/38/0/14;E/4,1/39/0/1;E/4,2/40/0/14;E/4,3/41/1/14
29:V/3,1/42/0/1;V/7,3/43/0/17;E/4,1/44/0/1;E/4,7/45/0/17;E/4,3/46/1/17
32:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
34:V/3,1/50/0/1;V/2,3/51/0/27;E/4,1/52/0/1;E/4,2/53/0/27;E/4,3/54/1/27
38:V/3,1/42/0/1;V/6,3/55/0/7;E/4,1/44/0/1;E/4,6/56/0/7;E/4,3/46/1/7
40:V/2,3/51/0/27;E/4,2/53/0/27
41:V/3,5/55/0/7;V/2,3/57/0/27;E/4,5/56/0/7;E/4,2/58/0/27;E/4,3/59/7/27
43:V/3,1/60/0/1;V/2,3/61/0/27;E/4,1/62/0/1;E/4,2/63/0/27;E/4,3/64/1/27
44:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
47:V/3,1/65/0/1;V/6,3/66/0/7;E/4,1/67/0/1;E/4,6/68/0/7;E/4,3/69/1/7
50:V/3,5/66/0/7;V/2,3/51/0/27;E/4,5/68/0/7;E/4,2/53/0/27;E/4,3/70/7/27
51:V/3,1/71/0/1;V/9,3/43/0/17;E/4,1/72/0/1;E/4,9/45/0/17;E/4,3/73/1/17
52:V/3,8/43/0/17;V/2,3/47/0/27;E/4,8/45/0/17;E/4,2/48/0/27;E/4,3/49/17/27
56:V/3,1/74/0/1;V/7,3/75/0/3;E/4,1/76/0/1;E/4,7/77/0/3;E/4,3/78/1/3
59:V/3,8/75/0/3;V/2,3/79/0/19;E/4,8/77/0/3;E/4,2/80/0/19;E/4,3/81/3/19
61:V/3,1/82/0/1;V/2,3/83/0/19;E/4,1/84/0/1;E/4,2/85/0/19;E/4,3/86/1/19
67:V/2,3/83/0/19;E/4,2/85/0/19
68:V/3,1/87/0/1;V/2,3/88/0/19;E/4,1/89/0/1;E/4,2/90/0/19;E/4,3/91/1/19
70:V/3,1/92/0/1;V/2,3/93/0/19;E/4,1/94/0/1;E/4,2/95/0/19;E/4,3/96/1/19
71:V/3,8/75/0/3;V/2,3/79/0/19;E/4,8/77/0/3;E/4,2/80/0/19;E/4,3/81/3/19
77:V/3,1/97/0/1;V/2,3/83/0/19;E/4,1/98/0/1;E/4,2/85/0/19;E/4,3/99/1/19
78:V/3,1/100/0/1;V/9,3/75/0/3;E/4,1/101/0/1;E/4,9/77/0/3;E/4,3/102/1/3
79:V/3,8/75/0/3;V/2,3/79/0/19;E/4,8/77/0/3;E/4,2/80/0/19;E/4,3/81/3/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,2;9638323/25000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,7;2472609/10000000;2,24,0,61,0,1079;2,24,0,63,0,831
1;C;7,10;21259759/100000000;2,21,0,63,0,231;2,21,0,63,0,231
1;C;10,11;20308497/100000000;2,20,0,63,0,31;4,2030,0,6331,0,518439
1;L;11,12;20308497/100000000,20419529/100000000;4,2030,0,6331,0,518439;4,2041,0,6381,0,102839
1;L;12,13;20419529/100000000,20678881/100000000;4,2041,0,6381,0,102839;8,20678881,0,64310000,0,100000000
1;L;13,14;20678881/100000000,20679417/100000000;8,20678881,0,64310000,0,100000000;8,20679417,0,64310833,0,158846111
2;C;0,2;9638323/25000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,7;2472609/10000000;2,24,0,61,0,1079;2,24,0,63,0,831
3;C;7,10;21259759/100000000;2,21,0,63,0,231;2,21,0,63,0,231
3;C;10,11;20308497/100000000;2,20,0,63,0,31;4,2030,0,6331,0,518439
3;L;11,12;20308497/100000000,20419529/100000000;4,2030,0,6331,0,518439;4,2041,0,6381,0,102839
3;L;12,13;20419529/100000000,20678881/100000000;4,2041,0,6381,0,102839;8,20678881,0,64310000,0,100000000
3;L;13,14;20678881/100000000,20679417/100000000;8,20678881,0,64310000,0,100000000;8,20679417,0,64310833,0,158846111
4;C;2,3;38544733/100000000;2,38,61,61,0,158;2,38,61,60,0,279
4;C;3,4;19169517/50000000;2,38,61,60,0,279;2,38,62,58,0,392
4;L;4,5;19169517/50000000,33509637/100000000;2,38,62,58,0,392;2,33,62,49,0,355
4;L;5,6;33509637/100000000,26290967/100000000;2,33,62,49,0,355;2,26,62,32,0,332
4;C;6,7;2472609/10000000;4,2472,6181,3161,0,1243318;2,24,63,24,0,255
4;C;7,8;5813479/25000000;2,23,63,24,0,55;2,23,63,15,0,406
4;C;8,9;22093149/100000000;2,22,63,15,0,206;2,22,63,6,0,395
4;C;9,11;20308497/100000000;4,2030,6257,585,0,1107726;4,2030,6331,0,0,518439
4;L;11,12;20308497/100000000,20419529/100000000;4,2030,6331,0,0,518439;4,2041,6381,0,0,102839
4;L;12,13;20419529/100000000,20678881/100000000;4,2041,6381,0,0,102839;8,20678881,64310000,0,0,100000000
4;L;13,14;20678881/100000000,20679417/100000000;8,20678881,64310000,0,0,100000000;8,20679417,64310833,0,0,158846111
5;C;0,1;9638323/25000000;2,38,0,1,61,157;2,38,0,1,61,157
6;C;0,4;19169517/50000000;2,38,0,1,61,157;4,3833,0,53,6105,2115141
7;C;0,1;9638323/25000000;2,38,1,0,61,157;2,38,1,0,61,157
8;C;0,4;19169517/50000000;2,38,0,0,61,158;4,3833,53,0,6105,2115141
9;C;1,4;19169517/50000000;2,38,1,0,61,157;4,3833,53,0,6105,2115141
10;C;0,14;20308497/100000000;2,20,0,1,9,3837;2,20,0,1,9,3837
11;C;0,14;20308497/100000000;2,20,0,0,8,3872;2,20,1,0,9,3837
12;L;4,5;19169517/50000000,33509637/100000000;4,3833,53,0,6105,2115141;2,33,1,0,57,101
12;L;5,6;33509637/100000000,26290967/100000000;2,33,1,0,57,101;2,26,1,0,49,397
12;C;6,7;2472609/10000000;4,2472,42,0,4883,1750858;2,24,1,0,46,567
12;C;7,9;22093149/100000000;2,22,1,0,46,167;2,22,1,0,37,1661
12;C;9,14;20308497/100000000;2,20,1,0,37,1261;2,20,1,0,9,3837
13;C;0,9;22093149/100000000;2,22,6,61,0,643;2,22,6,63,0,395
14;C;0,9;22093149/100000000;2,22,5,61,0,654;2,22,6,63,0,395
15;C;0,14;20308497/100000000;2,20,4,8,0,3920;2,20,4,8,0,3920
16;C;0,14;20308497/100000000;2,20,5,4,0,3959;2,20,8,4,0,3920
17;C;9,14;20308497/100000000;4,2030,585,6257,0,1107726;2,20,8,4,0,3920
18;L;0,1;9638323/25000000,38713341/100000000;4,3855,0,1772,6081,2894;8,38713341,0,17749020,60941121,31566318
19;C;0,4;19169517/50000000;4,3833,0,1461,6081,568357;8,38339034,0,14660152,61044601,120838494
20;L;0,1;9638323/25000000,38713341/100000000;8,38553292,0,17746719,60810000,164735039;8,38713341,0,17749020,60941121,31566318
21;C;0,4;19169517/50000000;4,3833,0,1445,6081,614853;8,38339034,0,14660152,61044601,120838494
22;L;1,2;38713341/100000000,3869297/10000000;8,38713341,0,17749020,60941121,31566318;8,38692970,0,17599127,60946143,35684973
22;L;2,3;3869297/10000000,38544733/100000000;8,38692970,0,17599127,60946143,35684973;10,3854473300,0,1645370382,6098451515,544425583626
22;L;3,4;38544733/100000000,19169517/50000000;10,3854473300,0,1645370382,6098451515,544425583626;8,38339034,0,14660152,61044601,120838494
23;C;0,14;20308497/100000000;2,20,0,27,9,3109;2,20,0,29,9,2997
24;C;0,14;20308497/100000000;2,20,0,25,8,3247;2,20,0,29,9,2997
25;L;4,5;19169517/50000000,33509637/100000000;8,38339034,14660152,0,61044601,120838494;10,3350963700,1574422989,0,5680689470,542570544079
25;L;5,6;33509637/100000000,26290967/100000000;10,3350963700,1574422989,0,5680689470,542570544079;2,26,18,0,49,74
25;L;6,7;26290967/100000000,2472609/10000000;2,26,18,0,49,74;2,24,19,0,46,207
25;C;7,9;22093149/100000000;4,2209,1876,0,4506,52552;2,22,21,0,37,1221
25;C;9,14;20308497/100000000;2,20,21,0,37,821;2,20,29,0,9,2997
26;C;0,1;9638323/25000000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;9638323/25000000;2,38,61,61,0,158;2,38,61,61,0,158
28;C;1,2;3869297/10000000;2,38,61,61,0,158;2,38,61,61,0,158
29;C;0,1;9638323/25000000;2,38,1,61,27,2420;2,38,1,61,27,2420
30;C;0,9;22093149/100000000;2,22,1,61,0,678;2,22,1,63,0,430
31;C;0,1;9638323/25000000;2,38,1,61,27,2420;2,38,1,61,27,2420
32;C;0,9;22093149/100000000;2,22,0,61,0,679;2,22,1,63,0,430
33;C;1,5;33509637/100000000;2,33,61,1,27,1420;2,33,62,1,20,1955
33;C;5,7;2472609/10000000;2,24,62,1,20,155;2,24,63,1,6,758
33;C;7,9;22093149/100000000;2,22,63,1,6,358;2,22,63,1,0,430
34;C;0,14;20308497/100000000;2,20,1,4,0,3983;2,20,1,4,0,3983
35;C;0,14;20308497/100000000;2,20,0,4,0,3984;2,20,1,4,0,3983
36;C;9,14;20308497/100000000;2,20,1,63,0,30;2,20,1,4,0,3983
37;C;0,1;9638323/25000000;2,38,0,61,40,679;2,38,0,61,40,679
38;C;0,7;2472609/10000000;2,24,0,61,0,1079;2,24,0,63,0,831
38;C;7,10;21259759/100000000;2,21,0,63,0,231;2,21,0,63,0,231
38;C;10,11;20308497/100000000;2,20,0,63,0,31;4,2030,0,6331,0,518439
38;L;11,12;20308497/100000000,20419529/100000000;4,2030,0,6331,0,518439;4,2041,0,6381,0,102839
38;L;12,13;20419529/100000000,20678881/100000000;4,2041,0,6381,0,102839;8,20678881,0,64310000,0,100000000
38;L;13,14;20678881/100000000,20679417/100000000;8,20678881,0,64310000,0,100000000;8,20679417,0,64310833,0,158846111
39;C;0,1;9638323/25000000;2,38,0,61,40,679;2,38,0,61,40,679
40;C;0,7;2472609/10000000;2,24,0,61,0,1079;2,24,0,63,0,831
40;C;7,10;21259759/100000000;2,21,0,63,0,231;2,21,0,63,0,231
40;C;10,11;20308497/100000000;2,20,0,63,0,31;4,2030,0,6331,0,518439
40;L;11,12;20308497/100000000,20419529/100000000;4,2030,0,6331,0,518439;4,2041,0,6381,0,102839
40;L;12,13;20419529/100000000,20678881/100000000;4,2041,0,6381,0,102839;8,20678881,0,64310000,0,100000000
40;L;13,14;20678881/100000000,20679417/100000000;8,20678881,0,64310000,0,100000000;8,20679417,0,64310833,0,158846111
41;C;1,4;19169517/50000000;2,38,61,0,40,679;2,38,62,0,38,868
41;C;4,5;33509637/100000000;4,3350,6105,0,3786,1061383;2,33,62,0,35,306
41;L;5,6;33509637/100000000,26290967/100000000;2,33,62,0,35,306;10,2629096700,6181000000,0,2681153919,325261882878
41;L;6,7;26290967/100000000,2472609/10000000;10,2629096700,6181000000,0,2681153919,325261882878;10,2472609000,6204623418,0,2340387521,743900946394
41;L;7,8;2472609/10000000,5813479/25000000;10,2472609000,6204623418,0,2340387521,743900946394;8,23253916,62310000,0,19599069,88666478
41;L;8,9;5813479/25000000,22093149/100000000;8,23253916,62310000,0,19599069,88666478;8,22093149,62568393,0,15871766,85480039
41;L;9,10;22093149/100000000,21259759/100000000;8,22093149,62568393,0,15871766,85480039;8,21259759,62810000,0,12386599,30426398
41;L;10,11;21259759/100000000,20308497/100000000;8,21259759,62810000,0,12386599,30426398;8,20308497,63310000,0,5174128,98879232
41;L;11,12;20308497/100000000,20419529/100000000;8,20308497,63310000,0,5174128,98879232;4,2041,6381,0,0,102839
41;L;12,13;20419529/100000000,20678881/100000000;4,2041,6381,0,0,102839;8,20678881,64310000,0,0,100000000
41;L;13,14;20678881/100000000,20679417/100000000;8,20678881,64310000,0,0,100000000;8,20679417,64310833,0,0,158846111
42;C;0,1;9638323/25000000;2,38,18,61,0,3555;2,38,18,61,0,3555
43;C;0,8;5813479/25000000;2,23,0,61,0,879;2,23,0,63,0,631
43;C;8,10;21259759/100000000;2,21,0,63,0,231;2,21,0,63,0,231
43;C;10,11;20308497/100000000;2,20,0,63,0,31;4,2030,0,6331,0,518439
43;L;11,12;20308497/100000000,20419529/100000000;4,2030,0,6331,0,518439;4,2041,0,6381,0,102839
43;L;12,13;20419529/100000000,20678881/100000000;4,2041,0,6381,0,102839;8,20678881,0,64310000,0,100000000
43;L;13,14;20678881/100000000,20679417/100000000;8,20678881,0,64310000,0,100000000;8,20679417,0,64310833,0,158846111
43;L;14,15;20679417/100000000,21001681/100000000;8,20679417,0,64310833,0,158846111;8,21001681,0,64810000,0,100000000
43;L;15,16;21001681/100000000,21326981/100000000;8,21001681,0,64810000,0,100000000;8,21326981,0,65310000,0,100000000
43;L;16,17;21326981/100000000,21487963/100000000;8,21326981,0,65310000,0,100000000;10,2148796300,0,6555602638,0,52647440956
44;C;0,1;9638323/25000000;2,38,61,18,0,3555;2,38,61,18,0,3555
45;C;0,8;5813479/25000000;2,23,0,61,0,879;2,23,0,63,0,631
45;C;8,10;21259759/100000000;2,21,0,63,0,231;2,21,0,63,0,231
45;C;10,11;20308497/100000000;2,20,0,63,0,31;4,2030,0,6331,0,518439
45;L;11,12;20308497/100000000,20419529/100000000;4,2030,0,6331,0,518439;4,2041,0,6381,0,102839
45;L;12,13;20419529/100000000,20678881/100000000;4,2041,0,6381,0,102839;8,20678881,0,64310000,0,100000000
45;L;13,14;20678881/100000000,20679417/100000000;8,20678881,0,64310000,0,100000000;8,20679417,0,64310833,0,158846111
45;L;14,15;20679417/100000000,21001681/100000000;8,20679417,0,64310833,0,158846111;8,21001681,0,64810000,0,100000000
45;L;15,16;21001681/100000000,21326981/100000000;8,21001681,0,64810000,0,100000000;8,21326981,0,65310000,0,100000000
45;L;16,17;21326981/100000000,21487963/100000000;8,21326981,0,65310000,0,100000000;10,2148796300,0,6555602638,0,52647440956
46;C;1,9;22093149/100000000;2,22,61,18,0,355;2,22,63,0,0,431
46;C;9,11;20308497/100000000;2,20,63,0,0,31;4,2030,6331,0,0,518439
46;L;11,12;20308497/100000000,20419529/100000000;4,2030,6331,0,0,518439;4,2041,6381,0,0,102839
46;L;12,13;20419529/100000000,20678881/100000000;4,2041,6381,0,0,102839;8,20678881,64310000,0,0,100000000
46;L;13,14;20678881/100000000,20679417/100000000;8,20678881,64310000,0,0,100000000;8,20679417,64310833,0,0,158846111
46;L;14,15;20679417/100000000,21001681/100000000;8,20679417,64310833,0,0,158846111;8,21001681,64810000,0,0,100000000
46;L;15,16;21001681/100000000,21326981/100000000;8,21001681,64810000,0,0,100000000;8,21326981,65310000,0,0,100000000
46;L;16,17;21326981/100000000,21487963/100000000;8,21326981,65310000,0,0,100000000;10,2148796300,6555602638,0,0,52647440956
47;C;0,27;975059/20000000;2,4,0,28,0,16;8,4875295,0,31225934,0,45827644
48;C;0,13;20308497/100000000;2,20,0,40,0,2400;2,20,0,37,0,2631
48;C;13,20;17484991/100000000;2,17,0,37,0,2031;2,17,0,35,0,2175
48;C;20,23;10747123/100000000;2,10,0,35,0,775;2,10,0,33,0,911
48;C;23,25;3580837/50000000;2,7,0,33,0,311;2,7,0,32,0,376
48;C;25,26;705111/12500000;4,564,0,3199,0,1046399;4,564,0,3150,0,1357500
48;L;26,27;705111/12500000,975059/20000000;4,564,0,3150,0,1357500;8,4875295,0,31225934,0,45827644
49;L;17,18;21487963/100000000,20093531/100000000;10,2148796300,0,6555602638,0,52647440956;8,20093531,0,63393266,0,25853244
49;L;18,19;20093531/100000000,17718493/100000000;8,20093531,0,63393266,0,25853244;10,1771849300,0,5952897250,0,330942437500
49;L;19,20;17718493/100000000,17484991/100000000;10,1771849300,0,5952897250,0,330942437500;8,17484991,0,59135422,0,64881916
49;L;20,21;17484991/100000000,7528871/50000000;8,17484991,0,59135422,0,64881916;10,1505774200,0,5487757642,0,62670599836
49;L;21,22;7528871/50000000,12811787/100000000;10,1505774200,0,5487757642,0,62670599836;8,12811787,0,50619732,0,132248176
49;L;22,23;12811787/100000000,10747123/100000000;8,12811787,0,50619732,0,132248176;8,10747123,0,46361887,0,33799231
49;L;23,24;10747123/100000000,1107969/12500000;8,10747123,0,46361887,0,33799231;10,886375200,0,4210404227,0,245260532471
49;L;24,25;1107969/12500000,3580837/50000000;10,886375200,0,4210404227,0,245260532471;8,7161674,0,37846198,0,96944796
49;L;25,26;3580837/50000000,705111/12500000;8,7161674,0,37846198,0,96944796;8,5640888,0,33588353,0,142747391
49;L;26,27;705111/12500000,975059/20000000;8,5640888,0,33588353,0,142747391;8,4875295,0,31225934,0,45827644
50;C;0,1;9638323/25000000;2,38,0,1,41,4237;2,38,0,1,41,4237
51;C;0,27;975059/20000000;2,4,0,0,0,800;2,4,0,0,0,800
52;C;0,1;9638323/25000000;2,38,0,0,41,4238;2,38,1,0,41,4237
53;C;0,27;975059/20000000;2,4,0,0,0,800;2,4,0,0,0,800
54;C;1,14;20308497/100000000;2,20,1,0,41,637;2,20,1,0,23,2941
54;C;14,20;17484991/100000000;2,17,1,0,23,2341;2,17,1,0,13,3061
54;C;20,27;975059/20000000;2,4,1,0,13,461;2,4,0,0,0,800
55;C;0,7;2472609/10000000;2,24,5,61,0,1054;2,24,5,63,0,806
56;C;0,7;2472609/10000000;2,24,4,61,0,1063;2,24,5,63,0,806
57;C;0,27;975059/20000000;2,4,0,6,0,764;2,4,0,7,0,751
58;C;0,27;975059/20000000;2,4,0,0,0,800;2,4,7,0,0,751
59;C;7,17;20308497/100000000;2,20,5,63,0,6;2,20,6,23,0,3435
59;C;17,27;975059/20000000;2,4,6,23,0,235;2,4,7,0,0,751
60;C;0,1;9638323/25000000;2,38,0,14,41,4042;2,38,0,15,41,4013
61;C;0,27;975059/20000000;2,4,0,22,0,316;2,4,0,25,0,175
62;C;0,1;9638323/25000000;2,38,0,14,41,4042;2,38,0,15,41,4013
63;C;0,27;975059/20000000;2,4,0,16,0,544;2,4,0,25,0,175
64;C;1,14;20308497/100000000;2,20,15,0,41,413;2,20,19,0,23,2581
64;C;14,20;17484991/100000000;2,17,19,0,23,1981;2,17,21,0,13,2621
64;C;20,27;975059/20000000;2,4,21,0,13,21;2,4,25,0,0,175
65;C;0,1;9638323/25000000;2,38,1,61,5,3828;2,38,1,61,5,3828
66;C;0,7;2472609/10000000;2,24,1,61,0,1078;2,24,1,63,0,830
67;C;0,1;9638323/25000000;2,38,0,61,5,3829;2,38,1,61,5,3828
68;C;0,7;2472609/10000000;2,24,0,61,0,1079;2,24,1,63,0,830
69;C;1,7;2472609/10000000;2,24,61,1,5,1028;2,24,63,1,0,830
70;C;7,17;20308497/100000000;2,20,1,63,0,30;2,20,1,23,0,3470
70;C;17,27;975059/20000000;2,4,1,23,0,270;2,4,0,0,0,800
71;C;0,1;9638323/25000000;2,38,0,61,18,3231;2,38,0,61,18,3231
72;C;0,1;9638323/25000000;2,38,0,61,18,3231;2,38,0,61,18,3231
73;C;1,9;22093149/100000000;2,22,61,0,18,31;2,22,63,0,9,269
73;C;9,10;21259759/100000000;2,21,63,0,9,69;2,21,63,0,8,103
73;L;10,11;21259759/100000000,20308497/100000000;2,21,63,0,8,103;4,2030,6331,0,509,277
73;L;11,12;20308497/100000000,20419529/100000000;4,2030,6331,0,509,277;8,20419529,63810000,0,2468768,69124352
73;L;12,13;20419529/100000000,20678881/100000000;8,20419529,63810000,0,2468768,69124352;8,20678881,64310000,0,0,100000000
73;L;13,14;20678881/100000000,20679417/100000000;8,20678881,64310000,0,0,100000000;8,20679417,64310833,0,0,158846111
73;L;14,15;20679417/100000000,21001681/100000000;8,20679417,64310833,0,0,158846111;8,21001681,64810000,0,0,100000000
73;L;15,16;21001681/100000000,21326981/100000000;8,21001681,64810000,0,0,100000000;8,21326981,65310000,0,0,100000000
73;L;16,17;21326981/100000000,21487963/100000000;8,21326981,65310000,0,0,100000000;10,2148796300,6555602638,0,0,52647440956
74;C;0,1;9638323/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
75;C;0,3;38544733/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
76;C;0,1;9638323/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
77;C;0,3;38544733/100000000;2,38,0,61,0,3879;2,38,0,61,0,3879
78;C;1,3;38544733/100000000;2,38,61,0,0,3879;2,38,61,0,0,3879
79;C;0,19;17718493/100000000;2,17,0,22,0,2916;2,17,0,24,0,2824
80;C;0,19;17718493/100000000;2,17,0,29,0,2559;2,17,0,24,0,2824
81;C;3,11;20308497/100000000;2,20,0,61,0,279;2,20,0,45,0,1975
81;C;11,19;17718493/100000000;2,17,0,45,0,1375;2,17,0,24,0,2824
82;C;0,1;9638323/25000000;2,38,0,1,19,6877;2,38,0,1,20,6799
83;C;0,19;17718493/100000000;2,17,0,0,0,3400;2,17,0,0,0,3400
84;C;0,1;9638323/25000000;2,38,0,0,19,6878;2,38,1,0,20,6799
85;C;0,19;17718493/100000000;2,17,0,0,0,3400;2,17,0,0,0,3400
86;C;1,19;17718493/100000000;2,17,1,0,20,2599;2,17,0,0,0,3400
87;C;0,1;9638323/25000000;2,38,4,31,0,6623;2,38,4,31,0,6623
88;C;0,19;17718493/100000000;2,17,0,5,0,3375;2,17,0,5,0,3375
89;C;0,1;9638323/25000000;2,38,4,31,0,6623;2,38,4,31,0,6623
90;C;0,19;17718493/100000000;2,17,0,0,0,3400;2,17,5,0,0,3375
91;C;1,19;17718493/100000000;2,17,4,31,0,2423;2,17,5,0,0,3375
92;C;0,1;9638323/25000000;2,38,0,14,19,6682;2,38,0,14,20,6604
93;C;0,19;17718493/100000000;2,17,0,17,0,3111;2,17,0,19,0,3039
94;C;0,1;9638323/25000000;2,38,0,14,19,6682;2,38,0,14,20,6604
95;C;0,19;17718493/100000000;2,17,0,13,0,3231;2,17,0,19,0,3039
96;C;1,19;17718493/100000000;2,17,14,0,20,2404;2,17,19,0,0,3039
97;C;0,1;9638323/25000000;2,38,1,31,0,6638;2,38,1,31,0,6638
98;C;0,1;9638323/25000000;2,38,0,31,0,6639;2,38,1,31,0,6638
99;C;1,19;17718493/100000000;2,17,1,31,0,2438;2,17,0,0,0,3400
100;C;0,1;9638323/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
101;C;0,1;9638323/25000000;2,38,0,61,0,3879;2,38,0,61,0,3879
102;C;1,3;38544733/100000000;2,38,61,0,0,3879;2,38,61,0,0,3879
MASS SLACK NUMERATOR 234520169486516478942689877631671883678414058172277258973418879815080759598640296162738527465001569183553871727069721648088750703

BIN 24: PPC; (341/247,18/13]; gamma0=1217/2000; mass ceiling=24966091/25000000.
GAMMA 0=1217/2000;1=3690829800000/6052177744007;2=3588306750000/5874505298357;3=1227/2000;4=1237/2000;5=3417435000000/5505388144007;6=1247/2000;7=2528901900000/4038556693307;8=1257/2000;9=1267/2000;10=1277/2000;11=1287/2000;12=1913763600000/2972522019407;13=1297/2000;14=1307/2000;15=2802296700000/4275111544007;16=1317/2000;17=1512214987500/2280720667741;18=1327/2000;19=1337/2000;20=1347/2000;21=1357/2000;22=1367/2000;23=1377/2000;24=1387/2000;25=2358030150000/3386578444007;26=1397/2000;27=1407/2000;28=1417/2000;29=1427/2000;30=1437/2000;31=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38528010,38690860;1,2,38690860,38344187;2,3,38344187,33488681;3,4,33488681,26256025;4,5,26256025,24776891;5,6,24776891,23245249;6,7,23245249,22054051;7,8,22054051,21269991;8,9,21269991,20330252;9,10,20330252,20432315;10,11,20432315,20704613;11,12,20704613,20725090;12,13,20725090,21027613;13,14,21027613,21353113;14,15,21353113,21483416;15,16,21483416,19823747;16,17,19823747,17444642;17,18,17444642,17213518;18,19,17213518,14787475;19,20,14787475,12545619;20,21,12545619,10487951;21,22,10487951,8614469;22,23,8614469,6925174;23,24,6925174,5420066;24,25,5420066,4661095;25,26,0,0;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;5163815515757/1332799650000,5/13,6052177744007/2665599300000;-5315039314456519
1;0,6,7;5/13,1,7;-2
3;0,3,7;3/13,3,1;-2
4;2,3,7;32/13,24/13,28/39;-16
8;1,3,6;1/13,37/13,18/13;-1
9;1,4,10;4275453287507/888533100000,15/13,6052177744007/2665599300000;-4289808814456519
10;0,10;4/13,1;-1
12;0,2,10;34/39,1,1;-1
13;2,3,10;33/13,1/3,28/39;-1
19;0,3,13;8/13,2,1;-1
21;0,7,13;23/13,1,6;-2
22;1,12,13;18/13,79/13,155/13;-6
26;1,3,12;4/13,40/13,18/13;-4
27;0,1,7;8/13,2,1;-1
28;0,6,7;18/13,1,7;-2
30;0,3,7;3/13,3,1;-2
31;2,3,7;45/13,24/13,23/26;-1
33;1,4,7;2279329504007/533119860000,46/13,6052177744007/2665599300000;-1077419914456519
35;1,3,6;1/13,37/13,18/13;-1
36;1,4,10;5778782944007/888533100000,2/13,6052177744007/2665599300000;-6955408114456519
37;0,10;4/13,1;-1
39;0,2,10;27/26,1,1;-1
42;1,4,10;2279329504007/533119860000,46/13,6052177744007/2665599300000;-1077419914456519
45;1,4,13;5368690744007/888533100000,5/13,6052177744007/2665599300000;-5315039314456519
46;0,3,13;8/13,2,1;-1
48;0,7,13;36/13,1,6;-2
49;1,12,13;18/13,66/13,129/13;-6
53;1,3,12;4/13,40/13,18/13;-4
54;0,1,7;21/13,2,1;-1
55;0,6,7;31/13,1,7;-2
57;0,1,12;7/13,3,1;-1
58;2,3,7;58/13,61/26,59/52;-1
60;0,1,12;7/13,3,1;-1
62;1,3,6;1/13,37/13,18/13;-1
63;0,1,10;11/13,3,1;-2
64;0,10;4/13,1;-1
65;1,4,6;2510064730591/333199912500,9/13,6052177744007/2665599300000;-3674670514456519
66;0,1,12;7/13,3,1;-1
69;0,1,12;7/13,3,1;-1
72;0,1,13;8/13,3,1;-1
73;0,3,13;8/13,2,1;-1
74;1,4,6;2510064730591/333199912500,9/13,6052177744007/2665599300000;-3674670514456519
75;0,7,13;49/13,1,6;-2
76;1,12,13;18/13,53/13,103/13;-6
80;1,3,12;4/13,40/13,18/13;-4
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;5,4,2,3;210070712065253,6129365127161187597858900000,8188748192885559,169
6;1,4,12,3;210070712065253,29133734909965719824700000,54681103799062,13
7;11,4,2,3;54681103799062,443460356416105199835300000,8188748192885559,13
11;8,4,6,3;210070712065253,752299454296067130850556250,5572331865569859,221
14;5,4,2,3;5572331865569859,579911439855503924598543750,8188748192885559,351
15;1,4,12,3;210070712065253,29133734909965719824700000,54681103799062,13
16;11,4,2,3;54681103799062,443460356416105199835300000,8188748192885559,13
18;1,4,13;210070712065253,14358060077734357721100000,210070712065253
20;1,4,6,3;210070712065253,1164154960098501442072706250,5572331865569859,221
23;5,4,2,3;5572331865569859,579911439855503924598543750,8188748192885559,351
24;1,4,2,3;210070712065253,9473892837547320000000000000,8188748192885559,169
29;1,4,7,3;210070712065253,2859397523357477229265320000,15669523386795759,169
32;8,4,2,3;15669523386795759,71554893619498748975880000,15459452674730506,169
34;1,4,2,3;210070712065253,7105419628160490000000000000,15459452674730506,169
38;1,4,6,3;210070712065253,1103910026313760768290825000,5257692520995759,13
41;5,4,2,3;5257692520995759,3839685679978900149209175000,15459452674730506,403
43;1,4,2,3;210070712065253,7105419628160490000000000000,15459452674730506,169
44;8,4,2,3;15669523386795759,71554893619498748975880000,15459452674730506,169
47;1,4,6,3;210070712065253,1103910026313760768290825000,5257692520995759,13
50;5,4,2,3;5257692520995759,3839685679978900149209175000,15459452674730506,403
51;1,4,9,3;210070712065253,2859397523357477229265320000,15669523386795759,169
52;8,4,2,3;15669523386795759,71554893619498748975880000,15459452674730506,169
56;1,4,7;210070712065253,17229672093281229265320000,210070712065253
59;8,4,2,3;210070712065253,800540048349815153856840000,12937231962678556,169
61;1,4,2,3;210070712065253,1776354907040122500000000000,12937231962678556,169
68;1,4,2,3;210070712065253,1776354907040122500000000000,12937231962678556,169
70;1,4,2,3;210070712065253,1776354907040122500000000000,12937231962678556,169
71;8,4,2,3;210070712065253,800540048349815153856840000,12937231962678556,169
77;1,4,2,3;210070712065253,1776354907040122500000000000,12937231962678556,169
78;1,4,9;210070712065253,17229672093281229265320000,210070712065253
79;8,4,2,3;210070712065253,800540048349815153856840000,12937231962678556,169
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
POINTS (description; zero-Farkas rows; weights; independent row pair):
5;2,3,8;28/13,56/39,28/39;2,3
17;2,3,8;28/13,56/39,28/39;2,3
25;2,3,8;28/13,56/39,28/39;2,3
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,5
1;2;V;2,3
2;2;E;4,5
3;2;E;4,2
4;2;E;4,3
5;6;V;3,1
6;6;V;12,3
7;6;E;4,1
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;11;V;6,3
14;11;E;4,6
15;14;V;2,3
16;14;E;4,2
17;14;E;4,3
18;15;V;3,1
19;15;V;12,3
20;15;E;4,1
21;15;E;4,12
22;15;E;4,3
23;16;V;2,3
24;16;E;4,2
25;16;E;4,3
26;18;E;4,1
27;20;V;3,1
28;20;V;6,3
29;20;E;4,1
30;20;E;4,6
31;20;E;4,3
32;23;V;2,3
33;23;E;4,2
34;23;E;4,3
35;24;V;3,1
36;24;E;4,1
37;24;E;4,2
38;24;E;4,3
39;29;V;3,1
40;29;V;7,3
41;29;E;4,1
42;29;E;4,7
43;29;E;4,3
44;32;V;2,3
45;32;E;4,2
46;32;E;4,3
47;34;V;3,1
48;34;V;2,3
49;34;E;4,1
50;34;E;4,2
51;34;E;4,3
52;38;V;6,3
53;38;E;4,6
54;41;V;2,3
55;41;E;4,2
56;41;E;4,3
57;43;V;3,1
58;43;V;2,3
59;43;E;4,1
60;43;E;4,2
61;43;E;4,3
62;47;V;3,1
63;47;V;6,3
64;47;E;4,1
65;47;E;4,6
66;47;E;4,3
67;50;E;4,3
68;51;V;3,1
69;51;E;4,1
70;51;E;4,3
71;56;V;7,1
72;56;E;4,1
73;56;E;4,7
74;59;V;2,3
75;59;E;4,2
76;59;E;4,3
77;61;V;3,1
78;61;V;2,3
79;61;E;4,1
80;61;E;4,2
81;61;E;4,3
82;68;V;3,1
83;68;V;2,3
84;68;E;4,1
85;68;E;4,2
86;68;E;4,3
87;70;V;3,1
88;70;V;2,3
89;70;E;4,1
90;70;E;4,2
91;70;E;4,3
92;77;V;3,1
93;77;E;4,1
94;77;E;4,3
95;78;E;4,1
CANDIDATES (description: V/row-pair/function/left-index/right-index or E/row-pair/function/left-index/right-index). All clipped candidates are listed:
2:V/3,5/0/0/1;V/2,3/1/0/12;E/4,5/2/0/1;E/4,2/3/0/12;E/4,3/4/1/12
5:V/2,3/1/0/12
6:V/3,1/5/0/1;V/12,3/6/0/2;E/4,1/7/0/1;E/4,12/8/0/2;E/4,3/9/1/2
7:V/3,11/6/0/2;V/2,3/10/0/12;E/4,11/8/0/2;E/4,2/11/0/12;E/4,3/12/2/12
11:V/3,8/0/0/1;V/6,3/13/0/7;E/4,8/2/0/1;E/4,6/14/0/7;E/4,3/4/1/7
14:V/3,5/13/0/7;V/2,3/15/0/12;E/4,5/14/0/7;E/4,2/16/0/12;E/4,3/17/7/12
15:V/3,1/18/0/1;V/12,3/19/0/2;E/4,1/20/0/1;E/4,12/21/0/2;E/4,3/22/1/2
16:V/3,11/19/0/2;V/2,3/23/0/12;E/4,11/21/0/2;E/4,2/24/0/12;E/4,3/25/2/12
17:V/2,3/1/0/12
18:V/13,1/0/0/1;E/4,1/26/0/1;E/4,13/2/0/1
20:V/3,1/27/0/1;V/6,3/28/0/7;E/4,1/29/0/1;E/4,6/30/0/7;E/4,3/31/1/7
23:V/3,5/28/0/7;V/2,3/32/0/12;E/4,5/30/0/7;E/4,2/33/0/12;E/4,3/34/7/12
24:V/3,1/35/0/1;V/2,3/1/0/12;E/4,1/36/0/1;E/4,2/37/0/12;E/4,3/38/1/12
25:V/2,3/1/0/12
29:V/3,1/39/0/1;V/7,3/40/0/15;E/4,1/41/0/1;E/4,7/42/0/15;E/4,3/43/1/15
32:V/3,8/40/0/15;V/2,3/44/0/25;E/4,8/42/0/15;E/4,2/45/0/25;E/4,3/46/15/25
34:V/3,1/47/0/1;V/2,3/48/0/25;E/4,1/49/0/1;E/4,2/50/0/25;E/4,3/51/1/25
38:V/3,1/39/0/1;V/6,3/52/0/5;E/4,1/41/0/1;E/4,6/53/0/5;E/4,3/43/1/5
40:V/2,3/48/0/25;E/4,2/50/0/25
41:V/3,5/52/0/5;V/2,3/54/0/25;E/4,5/53/0/5;E/4,2/55/0/25;E/4,3/56/5/25
43:V/3,1/57/0/1;V/2,3/58/0/25;E/4,1/59/0/1;E/4,2/60/0/25;E/4,3/61/1/25
44:V/3,8/40/0/15;V/2,3/44/0/25;E/4,8/42/0/15;E/4,2/45/0/25;E/4,3/46/15/25
47:V/3,1/62/0/1;V/6,3/63/0/5;E/4,1/64/0/1;E/4,6/65/0/5;E/4,3/66/1/5
50:V/3,5/63/0/5;V/2,3/48/0/25;E/4,5/65/0/5;E/4,2/50/0/25;E/4,3/67/5/25
51:V/3,1/68/0/1;V/9,3/40/0/15;E/4,1/69/0/1;E/4,9/42/0/15;E/4,3/70/1/15
52:V/3,8/40/0/15;V/2,3/44/0/25;E/4,8/42/0/15;E/4,2/45/0/25;E/4,3/46/15/25
56:V/7,1/71/0/1;E/4,1/72/0/1;E/4,7/73/0/1
59:V/3,8/71/0/1;V/2,3/74/0/17;E/4,8/73/0/1;E/4,2/75/0/17;E/4,3/76/1/17
61:V/3,1/77/0/1;V/2,3/78/0/17;E/4,1/79/0/1;E/4,2/80/0/17;E/4,3/81/1/17
67:V/2,3/78/0/17;E/4,2/80/0/17
68:V/3,1/82/0/1;V/2,3/83/0/17;E/4,1/84/0/1;E/4,2/85/0/17;E/4,3/86/1/17
70:V/3,1/87/0/1;V/2,3/88/0/17;E/4,1/89/0/1;E/4,2/90/0/17;E/4,3/91/1/17
71:V/3,8/71/0/1;V/2,3/74/0/17;E/4,8/73/0/1;E/4,2/75/0/17;E/4,3/76/1/17
77:V/3,1/92/0/1;V/2,3/78/0/17;E/4,1/93/0/1;E/4,2/80/0/17;E/4,3/94/1/17
78:V/9,1/71/0/1;E/4,1/95/0/1;E/4,9/73/0/1
79:V/3,8/71/0/1;V/2,3/74/0/17;E/4,8/73/0/1;E/4,2/75/0/17;E/4,3/76/1/17
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). A rounding witness is e,v,u0,u1,u2,S:
0;C;0,1;3852801/10000000;2,38,61,61,0,158;2,38,61,61,0,158
1;C;0,6;23245249/100000000;2,23,0,61,0,879;2,23,0,63,0,631
1;C;6,9;5082563/25000000;2,20,0,63,0,31;4,2033,0,6335,0,527775
1;L;9,10;5082563/25000000,4086463/20000000;4,2033,0,6335,0,527775;4,2043,0,6385,0,91775
1;L;10,11;4086463/20000000,20704613/100000000;4,2043,0,6385,0,91775;8,20704613,0,64350000,0,100000000
1;L;11,12;20704613/100000000,2072509/10000000;8,20704613,0,64350000,0,100000000;10,2072509000,0,6438181408,0,157683137536
2;C;0,1;3852801/10000000;2,38,61,61,0,158;2,38,61,61,0,158
3;C;0,6;23245249/100000000;2,23,0,61,0,879;2,23,0,63,0,631
3;C;6,9;5082563/25000000;2,20,0,63,0,31;4,2033,0,6335,0,527775
3;L;9,10;5082563/25000000,4086463/20000000;4,2033,0,6335,0,527775;4,2043,0,6385,0,91775
3;L;10,11;4086463/20000000,20704613/100000000;4,2043,0,6385,0,91775;8,20704613,0,64350000,0,100000000
3;L;11,12;20704613/100000000,2072509/10000000;8,20704613,0,64350000,0,100000000;10,2072509000,0,6438181408,0,157683137536
4;C;1,2;38344187/100000000;2,38,61,61,0,158;2,38,62,58,0,392
4;L;2,3;38344187/100000000,33488681/100000000;2,38,62,58,0,392;2,33,62,49,0,355
4;L;3,4;33488681/100000000,1050241/4000000;2,33,62,49,0,355;2,26,62,32,0,332
4;C;4,5;24776891/100000000;4,2477,6185,3164,0,1274879;2,24,63,25,0,206
4;C;5,6;23245249/100000000;2,23,63,25,0,6;2,23,63,15,0,406
4;C;6,7;22054051/100000000;2,22,63,15,0,206;2,22,63,6,0,395
4;C;7,9;5082563/25000000;4,2033,6262,559,0,1134875;4,2033,6335,0,0,527775
4;L;9,10;5082563/25000000,4086463/20000000;4,2033,6335,0,0,527775;4,2043,6385,0,0,91775
4;L;10,11;4086463/20000000,20704613/100000000;4,2043,6385,0,0,91775;8,20704613,64350000,0,0,100000000
4;L;11,12;20704613/100000000,2072509/10000000;8,20704613,64350000,0,0,100000000;10,2072509000,6438181408,0,0,157683137536
5;C;0,1;3852801/10000000;2,38,0,1,61,157;2,38,0,1,61,157
6;C;0,2;38344187/100000000;2,38,0,1,61,157;4,3834,0,54,6109,2037322
7;C;0,1;3852801/10000000;2,38,1,0,61,157;2,38,1,0,61,157
8;C;0,2;38344187/100000000;2,38,0,0,61,158;4,3834,54,0,6109,2037322
9;C;1,2;38344187/100000000;2,38,1,0,61,157;4,3834,54,0,6109,2037322
10;C;0,12;5082563/25000000;2,20,0,1,9,3837;2,20,0,1,9,3837
11;C;0,12;5082563/25000000;2,20,0,0,7,3902;2,20,1,0,9,3837
12;L;2,3;38344187/100000000,33488681/100000000;4,3834,54,0,6109,2037322;2,33,1,0,57,101
12;L;3,4;33488681/100000000,1050241/4000000;2,33,1,0,57,101;2,26,1,0,49,397
12;C;4,5;24776891/100000000;4,2477,55,0,4887,1771437;2,24,1,0,46,567
12;C;5,7;22054051/100000000;2,22,1,0,46,167;2,22,1,0,37,1661
12;C;7,12;5082563/25000000;2,20,1,0,37,1261;2,20,1,0,9,3837
13;C;0,7;22054051/100000000;2,22,6,61,0,643;2,22,6,63,0,395
14;C;0,7;22054051/100000000;2,22,4,61,0,663;2,22,6,63,0,395
15;C;0,12;5082563/25000000;2,20,3,7,0,3942;2,20,3,8,0,3927
16;C;0,12;5082563/25000000;2,20,4,3,0,3975;2,20,8,3,0,3927
17;C;7,12;5082563/25000000;4,2033,559,6262,0,1134875;2,20,8,3,0,3927
18;L;0,1;3852801/10000000,1934543/5000000;6,385280,0,172883,608500,126968311;10,3869086000,0,1732620876,6098349977,16097191566
19;C;0,2;38344187/100000000;4,3834,0,1433,6085,572061;10,3834418700,0,1437510279,6108270515,828932611709
20;L;0,1;3852801/10000000,1934543/5000000;8,38528010,0,17325038,60850000,58298556;10,3869086000,0,1732620876,6098349977,16097191566
21;C;0,2;38344187/100000000;4,3834,0,1417,6085,617661;10,3834418700,0,1437510279,6108270515,828932611709
22;L;1,2;1934543/5000000,38344187/100000000;10,3869086000,0,1732620876,6098349977,16097191566;10,3834418700,0,1437510279,6108270515,828932611709
23;C;0,12;5082563/25000000;2,20,0,27,9,3109;2,20,0,28,9,3054
24;C;0,12;5082563/25000000;2,20,0,25,7,3277;2,20,0,28,9,3054
25;L;2,3;38344187/100000000,33488681/100000000;10,3834418700,1437510279,0,6108270515,828932611709;10,3348868100,1547210325,0,5682583119,401525858053
25;L;3,4;33488681/100000000,1050241/4000000;10,3348868100,1547210325,0,5682583119,401525858053;2,26,18,0,49,74
25;L;4,5;1050241/4000000,24776891/100000000;2,26,18,0,49,74;2,24,19,0,46,207
25;C;5,6;23245249/100000000;2,23,19,0,46,7;2,23,20,0,41,838
25;C;6,7;22054051/100000000;2,22,20,0,41,638;2,22,21,0,37,1221
25;C;7,12;5082563/25000000;2,20,21,0,37,821;2,20,28,0,9,3054
26;C;0,1;3852801/10000000;2,38,61,61,0,158;2,38,61,61,0,158
27;C;0,1;3852801/10000000;2,38,1,61,26,2526;2,38,1,61,26,2526
28;C;0,7;22054051/100000000;2,22,1,61,0,678;2,22,1,63,0,430
29;C;0,1;3852801/10000000;2,38,1,61,26,2526;2,38,1,61,26,2526
30;C;0,7;22054051/100000000;2,22,0,61,0,679;2,22,1,63,0,430
31;C;1,4;1050241/4000000;2,26,1,61,26,126;2,26,1,62,10,1155
31;C;4,7;22054051/100000000;2,22,1,62,10,355;2,22,1,63,0,430
32;C;0,12;5082563/25000000;2,20,1,3,0,3990;2,20,1,3,0,3990
33;C;0,12;5082563/25000000;2,20,0,3,0,3991;2,20,1,3,0,3990
34;C;7,12;5082563/25000000;2,20,1,63,0,30;2,20,1,3,0,3990
35;C;0,1;3852801/10000000;2,38,0,61,40,679;2,38,0,61,40,679
36;C;0,1;3852801/10000000;2,38,0,61,40,679;2,38,0,61,40,679
37;C;0,6;23245249/100000000;2,23,0,61,0,879;2,23,0,63,0,631
37;C;6,9;5082563/25000000;2,20,0,63,0,31;4,2033,0,6335,0,527775
37;L;9,10;5082563/25000000,4086463/20000000;4,2033,0,6335,0,527775;4,2043,0,6385,0,91775
37;L;10,11;4086463/20000000,20704613/100000000;4,2043,0,6385,0,91775;8,20704613,0,64350000,0,100000000
37;L;11,12;20704613/100000000,2072509/10000000;8,20704613,0,64350000,0,100000000;10,2072509000,0,6438181408,0,157683137536
38;C;1,2;38344187/100000000;2,38,61,0,40,679;2,38,62,0,38,868
38;C;2,3;33488681/100000000;4,3348,6109,0,3773,1169061;2,33,62,0,34,444
38;L;3,4;33488681/100000000,1050241/4000000;2,33,62,0,34,444;10,2625602500,6185000000,0,2670002334,72869104888
38;L;4,5;1050241/4000000,24776891/100000000;10,2625602500,6185000000,0,2670002334,72869104888;8,24776891,62074370,0,23474994,102503028
38;L;5,6;24776891/100000000,23245249/100000000;8,24776891,62074370,0,23474994,102503028;8,23245249,62350000,0,19513164,161418208
38;L;6,7;23245249/100000000,22054051/100000000;8,23245249,62350000,0,19513164,161418208;10,2205405100,6261895257,0,1564731532,255890769903
38;L;7,8;22054051/100000000,21269991/100000000;10,2205405100,6261895257,0,1564731532,255890769903;8,21269991,62850000,0,12326305,110093950
38;L;8,9;21269991/100000000,5082563/25000000;8,21269991,62850000,0,12326305,110093950;8,20330252,63350000,0,5139445,110183950
38;L;9,10;5082563/25000000,4086463/20000000;8,20330252,63350000,0,5139445,110183950;4,2043,6385,0,0,91775
38;L;10,11;4086463/20000000,20704613/100000000;4,2043,6385,0,0,91775;8,20704613,64350000,0,0,100000000
38;L;11,12;20704613/100000000,2072509/10000000;8,20704613,64350000,0,0,100000000;10,2072509000,6438181408,0,0,157683137536
39;C;0,1;3852801/10000000;2,38,18,61,0,3555;2,38,18,61,0,3555
40;C;0,7;22054051/100000000;2,22,0,61,0,679;2,22,0,63,0,431
40;C;7,9;5082563/25000000;2,20,0,63,0,31;4,2033,0,6335,0,527775
40;L;9,10;5082563/25000000,4086463/20000000;4,2033,0,6335,0,527775;4,2043,0,6385,0,91775
40;L;10,11;4086463/20000000,20704613/100000000;4,2043,0,6385,0,91775;8,20704613,0,64350000,0,100000000
40;L;11,12;20704613/100000000,2072509/10000000;8,20704613,0,64350000,0,100000000;10,2072509000,0,6438181408,0,157683137536
40;L;12,13;2072509/10000000,21027613/100000000;10,2072509000,0,6438181408,0,157683137536;8,21027613,0,64850000,0,100000000
40;L;13,14;21027613/100000000,21353113/100000000;8,21027613,0,64850000,0,100000000;8,21353113,0,65350000,0,100000000
40;L;14,15;21353113/100000000,2685427/12500000;8,21353113,0,65350000,0,100000000;8,21483416,0,65549090,0,171900
41;C;0,1;3852801/10000000;2,38,61,18,0,3555;2,38,61,18,0,3555
42;C;0,7;22054051/100000000;2,22,0,61,0,679;2,22,0,63,0,431
42;C;7,9;5082563/25000000;2,20,0,63,0,31;4,2033,0,6335,0,527775
42;L;9,10;5082563/25000000,4086463/20000000;4,2033,0,6335,0,527775;4,2043,0,6385,0,91775
42;L;10,11;4086463/20000000,20704613/100000000;4,2043,0,6385,0,91775;8,20704613,0,64350000,0,100000000
42;L;11,12;20704613/100000000,2072509/10000000;8,20704613,0,64350000,0,100000000;10,2072509000,0,6438181408,0,157683137536
42;L;12,13;2072509/10000000,21027613/100000000;10,2072509000,0,6438181408,0,157683137536;8,21027613,0,64850000,0,100000000
42;L;13,14;21027613/100000000,21353113/100000000;8,21027613,0,64850000,0,100000000;8,21353113,0,65350000,0,100000000
42;L;14,15;21353113/100000000,2685427/12500000;8,21353113,0,65350000,0,100000000;8,21483416,0,65549090,0,171900
43;C;1,8;21269991/100000000;2,21,61,18,0,155;2,21,63,0,0,231
43;C;8,9;5082563/25000000;2,20,63,0,0,31;4,2033,6335,0,0,527775
43;L;9,10;5082563/25000000,4086463/20000000;4,2033,6335,0,0,527775;4,2043,6385,0,0,91775
43;L;10,11;4086463/20000000,20704613/100000000;4,2043,6385,0,0,91775;8,20704613,64350000,0,0,100000000
43;L;11,12;20704613/100000000,2072509/10000000;8,20704613,64350000,0,0,100000000;10,2072509000,6438181408,0,0,157683137536
43;L;12,13;2072509/10000000,21027613/100000000;10,2072509000,6438181408,0,0,157683137536;8,21027613,64850000,0,0,100000000
43;L;13,14;21027613/100000000,21353113/100000000;8,21027613,64850000,0,0,100000000;8,21353113,65350000,0,0,100000000
43;L;14,15;21353113/100000000,2685427/12500000;8,21353113,65350000,0,0,100000000;8,21483416,65549090,0,0,171900
44;C;0,25;932219/20000000;2,4,0,27,0,71;8,4661095,0,30532260,0,99292400
45;C;0,12;5082563/25000000;2,20,0,40,0,2400;2,20,0,36,0,2704
45;C;12,18;8606759/50000000;2,17,0,36,0,2104;2,17,0,34,0,2244
45;C;18,21;10487951/100000000;2,10,0,34,0,844;2,10,0,33,0,911
45;C;21,23;3462587/50000000;2,6,0,33,0,111;2,6,0,32,0,176
45;C;23,24;2710033/50000000;4,542,0,3131,0,1036839;2,5,0,31,0,39
45;L;24,25;2710033/50000000,932219/20000000;2,5,0,31,0,39;8,4661095,0,30532260,0,99292400
46;L;15,16;2685427/12500000,19823747/100000000;8,21483416,0,65549090,0,171900;8,19823747,0,62966256,0,5342464
46;L;16,17;19823747/100000000,8722321/50000000;8,19823747,0,62966256,0,5342464;8,17444642,0,59067151,0,72743199
46;L;17,18;8722321/50000000,8606759/50000000;8,17444642,0,59067151,0,72743199;8,17213518,0,58674556,0,78202864
46;L;18,19;8606759/50000000,591499/4000000;8,17213518,0,58674556,0,78202864;10,1478747500,0,5438285508,0,733477181936
46;L;19,20;591499/4000000,12545619/100000000;10,1478747500,0,5438285508,0,733477181936;10,1254561900,0,5009115470,0,208206679100
46;L;20,21;12545619/100000000,10487951/100000000;10,1254561900,0,5009115470,0,208206679100;8,10487951,0,45799455,0,121702975
46;L;21,22;10487951/100000000,8614469/100000000;8,10487951,0,45799455,0,121702975;8,8614469,0,41507754,0,157875484
46;L;22,23;8614469/100000000,3462587/50000000;8,8614469,0,41507754,0,157875484;8,6925174,0,37216054,0,124669084
46;L;23,24;3462587/50000000,2710033/50000000;8,6925174,0,37216054,0,124669084;8,5420066,0,32924354,0,113682684
46;L;24,25;2710033/50000000,932219/20000000;8,5420066,0,32924354,0,113682684;8,4661095,0,30532260,0,99292400
47;C;0,1;3852801/10000000;2,38,0,1,41,4237;2,38,0,1,41,4237
48;C;0,25;932219/20000000;2,4,0,1,0,799;2,4,0,1,0,799
49;C;0,1;3852801/10000000;2,38,1,0,41,4237;2,38,1,0,41,4237
50;C;0,25;932219/20000000;2,4,0,0,0,800;2,4,1,0,0,799
51;C;1,13;5082563/25000000;2,20,1,0,41,637;2,20,1,0,21,3117
51;C;13,25;932219/20000000;4,466,43,0,2007,1262053;2,4,1,0,0,799
52;C;0,5;24776891/100000000;2,24,5,61,0,1054;2,24,5,63,0,806
53;C;0,5;24776891/100000000;2,24,3,61,0,1070;2,24,5,63,0,806
54;C;0,25;932219/20000000;2,4,0,6,0,764;2,4,0,7,0,751
55;C;0,25;932219/20000000;2,4,0,0,0,800;2,4,7,0,0,751
56;C;5,15;5082563/25000000;2,20,5,63,0,6;2,20,6,23,0,3435
56;C;15,25;932219/20000000;2,4,6,23,0,235;2,4,7,0,0,751
57;C;0,1;3852801/10000000;2,38,0,14,41,4042;2,38,0,14,41,4042
58;C;0,25;932219/20000000;2,4,0,22,0,316;2,4,0,25,0,175
59;C;0,1;3852801/10000000;2,38,0,14,41,4042;2,38,0,14,41,4042
60;C;0,25;932219/20000000;2,4,0,16,0,544;2,4,0,25,0,175
61;C;1,13;5082563/25000000;2,20,14,0,41,442;2,20,19,0,21,2757
61;C;13,19;591499/4000000;2,14,19,0,21,1557;2,14,22,0,10,2116
61;C;19,25;932219/20000000;2,4,22,0,10,116;2,4,25,0,0,175
62;C;0,1;3852801/10000000;2,38,1,61,4,3846;2,38,1,61,4,3846
63;C;0,5;24776891/100000000;2,24,1,61,0,1078;2,24,1,63,0,830
64;C;0,1;3852801/10000000;2,38,1,61,4,3846;2,38,1,61,4,3846
65;C;0,5;24776891/100000000;2,24,0,61,0,1079;2,24,1,63,0,830
66;C;1,5;24776891/100000000;2,24,1,61,4,1046;2,24,1,63,0,830
67;C;5,15;5082563/25000000;2,20,1,63,0,30;2,20,1,23,0,3470
67;C;15,25;932219/20000000;2,4,1,23,0,270;2,4,1,0,0,799
68;C;0,1;3852801/10000000;2,38,0,61,18,3231;2,38,0,61,18,3231
69;C;0,1;3852801/10000000;2,38,0,61,18,3231;2,38,0,61,18,3231
70;C;1,4;1050241/4000000;2,26,61,0,18,831;2,26,62,0,13,1018
70;C;4,8;21269991/100000000;2,21,62,0,13,18;2,21,63,0,8,103
70;C;8,9;5082563/25000000;4,2033,6285,0,745,48725;4,2033,6335,0,482,63127
70;L;9,10;5082563/25000000,4086463/20000000;4,2033,6335,0,482,63127;8,20432315,63850000,0,2195495,103409950
70;L;10,11;4086463/20000000,20704613/100000000;8,20432315,63850000,0,2195495,103409950;8,20704613,64350000,0,0,100000000
70;L;11,12;20704613/100000000,2072509/10000000;8,20704613,64350000,0,0,100000000;10,2072509000,6438181408,0,0,157683137536
70;L;12,13;2072509/10000000,21027613/100000000;10,2072509000,6438181408,0,0,157683137536;8,21027613,64850000,0,0,100000000
70;L;13,14;21027613/100000000,21353113/100000000;8,21027613,64850000,0,0,100000000;8,21353113,65350000,0,0,100000000
70;L;14,15;21353113/100000000,2685427/12500000;8,21353113,65350000,0,0,100000000;8,21483416,65549090,0,0,171900
71;C;0,1;3852801/10000000;2,38,0,61,0,3879;2,38,0,61,0,3879
72;C;0,1;3852801/10000000;2,38,0,61,0,3879;2,38,0,61,0,3879
73;C;0,1;3852801/10000000;2,38,0,61,0,3879;2,38,0,61,0,3879
74;C;0,17;8722321/50000000;2,17,0,21,0,2959;2,17,0,23,0,2871
75;C;0,17;8722321/50000000;2,17,0,29,0,2559;2,17,0,23,0,2871
76;C;1,9;5082563/25000000;2,20,0,61,0,279;2,20,0,44,0,2064
76;C;9,17;8722321/50000000;2,17,0,44,0,1464;2,17,0,23,0,2871
77;C;0,1;3852801/10000000;2,38,0,1,19,6877;2,38,0,1,19,6877
78;C;0,17;8722321/50000000;2,17,0,1,0,3399;2,17,0,1,0,3399
79;C;0,1;3852801/10000000;2,38,0,0,19,6878;2,38,1,0,19,6877
80;C;0,17;8722321/50000000;2,17,0,0,0,3400;2,17,1,0,0,3399
81;C;1,17;8722321/50000000;2,17,1,0,19,2677;2,17,1,0,0,3399
82;C;0,1;3852801/10000000;2,38,4,31,0,6623;2,38,4,31,0,6623
83;C;0,17;8722321/50000000;2,17,0,5,0,3375;2,17,0,5,0,3375
84;C;0,1;3852801/10000000;2,38,4,31,0,6623;2,38,4,31,0,6623
85;C;0,17;8722321/50000000;2,17,0,0,0,3400;2,17,5,0,0,3375
86;C;1,17;8722321/50000000;2,17,4,31,0,2423;2,17,5,0,0,3375
87;C;0,1;3852801/10000000;2,38,0,14,19,6682;2,38,0,14,19,6682
88;C;0,17;8722321/50000000;2,17,0,17,0,3111;2,17,0,19,0,3039
89;C;0,1;3852801/10000000;2,38,0,14,19,6682;2,38,0,14,19,6682
90;C;0,17;8722321/50000000;2,17,0,13,0,3231;2,17,0,19,0,3039
91;C;1,17;8722321/50000000;2,17,14,0,19,2482;2,17,19,0,0,3039
92;C;0,1;3852801/10000000;2,38,1,31,0,6638;2,38,1,31,0,6638
93;C;0,1;3852801/10000000;2,38,0,31,0,6639;2,38,1,31,0,6638
94;C;1,17;8722321/50000000;2,17,1,31,0,2438;2,17,1,0,0,3399
95;C;0,1;3852801/10000000;2,38,0,61,0,3879;2,38,0,61,0,3879
MASS SLACK NUMERATOR 39750072202342261119779627730280630049194659288608799228880945989388379933840326149967888481244566216193

BIN 25: PQP; (1,41/40]; gamma0=1123/2000; mass ceiling=91478733/100000000.
GAMMA 0=1123/2000;1=11871090000/20962939597;2=1133/2000;3=11061697500/19365092081;4=1143/2000;5=1153/2000;6=1163/2000;7=1173/2000;8=1183/2000;9=1193/2000;10=1203/2000;11=1213/2000;12=7734195000/12710087081;13=1223/2000;14=7554330000/12350357081;15=1233/2000;16=1243/2000;17=1253/2000;18=4181861250/6664861003;19=1263/2000;20=1273/2000;21=1283/2000;22=1293/2000;23=1303/2000;24=1313/2000;25=5665747500/8573192081;26=1323/2000;27=1333/2000;28=1343/2000;29=1353/2000;30=1363/2000;31=1373/2000;32=1383/2000;33=1393/2000;34=1403/2000;35=1413/2000;36=1423/2000;37=1433/2000;38=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,41978125,42697293;1,2,42697293,42729061;2,3,42729061,43443813;3,4,33127522,33134363;4,5,33134363,33368517;5,6,33368517,33816018;6,7,33816018,34398225;7,8,34398225,34987225;8,9,34987225,35581225;9,10,35581225,36180225;10,11,36180225,36784225;11,12,36784225,37028250;12,13,37028250,36555022;13,14,36555022,36528387;14,15,36528387,35770884;15,16,35770884,34995247;16,17,34995247,34228112;17,18,34228112,34083450;18,19,34083450,33469479;19,20,33469479,32719347;20,21,32719347,31977717;21,22,31977717,31244589;22,23,31244589,30519962;23,24,30519962,29803837;24,25,29803837,29185201;25,26,0,0;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;16248031631/5395950000,1/3,19365092081/10791900000;-14552398406963
1;0,3,7;37/60,2,1;-2
3;0,3,7;77/60,2,1;-1
4;0,3,7;11/60,6,1;-4
5;2,3,8;13/30,1,43/120;-17
7;3,4,11;667290007/337246875,11/10,390340627/21583800000;-12251619661
8;0,3,5;11/60,6,1;-3
10;10;1;-1
12;10;1;-1
13;2,3,10;11/10,1/3,43/120;-1
14;3,4,5;667290007/337246875,11/10,390340627/21583800000;-12251619661
16;3,4,11;667290007/337246875,11/10,390340627/21583800000;-12251619661
17;2,3,8;13/30,1,43/120;-17
18;1,4,13;16248031631/5395950000,1/3,19365092081/10791900000;-14552398406963
19;0,3,13;77/60,2,1;-1
21;0,3,13;37/60,2,1;-2
22;0,3,13;11/60,6,1;-4
23;3,4,5;667290007/337246875,11/10,390340627/21583800000;-12251619661
25;2,3,8;13/30,1,43/120;-17
26;0,3,11;11/60,6,1;-3
27;0,1,7;2/3,2,1;-1
28;0,3,7;37/60,2,1;-2
30;0,3,7;77/60,2,1;-1
31;2,3,7;49/60,7/3,21/40;-77
35;1,3,6;77/60,10/3,41/40;-77
36;1,4,10;8573192081/2697975000,2,19365092081/10791900000;-163198406963
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;77/60,2,1;-1
48;0,3,13;37/60,2,1;-2
49;2,3,13;49/60,7/3,21/40;-77
53;1,3,12;77/60,10/3,41/40;-77
54;0,1,7;5/3,2,1;-1
55;0,3,7;37/60,2,1;-2
56;1,4,7;2326535489/674493750,5/3,19365092081/10791900000;-3760498406963
57;0,3,7;77/60,2,1;-1
58;2,3,7;109/60,17/6,31/40;-77
60;1,4,12;6664861003/1348987500,1,19365092081/10791900000;-163198406963
62;1,3,6;77/60,10/3,41/40;-77
63;1,4,6;6664861003/1348987500,1,19365092081/10791900000;-163198406963
64;10;1;-1
65;1,4,6;6664861003/1348987500,1,19365092081/10791900000;-163198406963
66;10;1;-1
69;1,4,12;6664861003/1348987500,1,19365092081/10791900000;-163198406963
72;0,1,13;5/3,2,1;-1
73;0,3,13;77/60,2,1;-1
74;1,4,6;6664861003/1348987500,1,19365092081/10791900000;-163198406963
75;0,3,13;37/60,2,1;-2
76;2,3,13;109/60,17/6,31/40;-77
78;1,4,9;2326535489/674493750,5/3,19365092081/10791900000;-3760498406963
80;1,3,12;77/60,10/3,41/40;-77
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,3;15055863721480,8124068784792000600000,30111727442960
6;5,4,3;1003994162845,135437557575086943750,4015976651380
9;1,4,10,3;15055863721480,7168992795118500018750,1003994162845,380
11;1,4,3;15055863721480,8124068784792000600000,30111727442960
15;1,4,3;15055863721480,8124068784792000600000,30111727442960
20;11,4,3;1003994162845,135437557575086943750,4015976651380
24;1,4,3;15055863721480,8124068784792000600000,30111727442960
29;1,4,7,3;15055863721480,37941091425948000150000,17924433120555,740
32;8,4,2,3;17924433120555,13128857384036999850000,68152011721480,460
33;1,4,12,3;15055863721480,57792247582974000075000,6196044990185,130
34;11,4,2,3;6196044990185,2697975000,68152011721480,10
38;1,4,6,3;15055863721480,57792247582974000075000,6196044990185,130
41;5,4,2,3;6196044990185,2697975000,68152011721480,10
42;1,4,12,3;15055863721480,57792247582974000075000,6196044990185,130
43;11,4,2,3;6196044990185,2697975000,68152011721480,10
44;8,4,2,3;17924433120555,13128857384036999850000,68152011721480,460
47;1,4,6,3;15055863721480,57792247582974000075000,6196044990185,130
50;5,4,2,3;6196044990185,2697975000,68152011721480,10
51;1,4,9,3;15055863721480,37941091425948000150000,17924433120555,740
52;8,4,2,3;17924433120555,13128857384036999850000,68152011721480,460
59;1,4,2,3;15055863721480,29116276402500000000000,35163343745240,400
61;1,4,2,3;15055863721480,29116276402500000000000,35163343745240,400
68;1,4,2,3;15055863721480,29116276402500000000000,35163343745240,400
70;1,4,2,3;15055863721480,29116276402500000000000,35163343745240,400
71;1,4,2,3;15055863721480,29116276402500000000000,35163343745240,400
77;1,4,2,3;15055863721480,29116276402500000000000,35163343745240,400
79;1,4,2,3;15055863721480,29116276402500000000000,35163343745240,400
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;E;4,1
2;2;E;4,3
3;6;V;3,5
4;6;E;4,5
5;6;E;4,3
6;9;V;3,1
7;9;E;4,1
8;9;E;4,3
9;11;V;3,1
10;11;E;4,1
11;11;E;4,3
12;29;V;3,1
13;29;V;7,3
14;29;E;4,1
15;29;E;4,7
16;29;E;4,3
17;32;V;2,3
18;32;E;4,2
19;32;E;4,3
20;33;V;3,1
21;33;V;12,3
22;33;E;4,1
23;33;E;4,12
24;33;E;4,3
25;34;V;2,3
26;34;E;4,2
27;34;E;4,3
28;38;V;3,1
29;38;V;6,3
30;38;E;4,1
31;38;E;4,6
32;38;E;4,3
33;41;V;2,3
34;41;E;4,2
35;41;E;4,3
36;59;V;3,1
37;59;V;2,3
38;59;E;4,1
39;59;E;4,2
40;59;E;4,3
41;61;V;3,1
42;61;V;2,3
43;61;E;4,1
44;61;E;4,2
45;61;E;4,3
46;68;V;3,1
47;68;V;2,3
48;68;E;4,1
49;68;E;4,2
50;68;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:
2:V/3,1/0/0/3;E/4,1/1/0/3;E/4,3/2/0/3
6:V/3,5/3/0/1;E/4,5/4/0/1;E/4,3/5/0/1
9:V/3,1/6/0/3;V/10,3/3/0/1;E/4,1/7/0/3;E/4,10/4/0/1;E/4,3/8/1/3
11:V/3,1/9/0/3;E/4,1/10/0/3;E/4,3/11/0/3
15:V/3,1/9/0/3;E/4,1/10/0/3;E/4,3/11/0/3
20:V/3,11/3/0/1;E/4,11/4/0/1;E/4,3/5/0/1
24:V/3,1/0/0/3;E/4,1/1/0/3;E/4,3/2/0/3
29:V/3,1/12/0/3;V/7,3/13/0/12;E/4,1/14/0/3;E/4,7/15/0/12;E/4,3/16/3/12
32:V/3,8/13/0/12;V/2,3/17/0/25;E/4,8/15/0/12;E/4,2/18/0/25;E/4,3/19/12/25
33:V/3,1/20/0/3;V/12,3/21/0/14;E/4,1/22/0/3;E/4,12/23/0/14;E/4,3/24/3/14
34:V/3,11/21/0/14;V/2,3/25/0/25;E/4,11/23/0/14;E/4,2/26/0/25;E/4,3/27/14/25
38:V/3,1/28/0/3;V/6,3/29/0/14;E/4,1/30/0/3;E/4,6/31/0/14;E/4,3/32/3/14
40:V/2,3/25/0/25;E/4,2/26/0/25
41:V/3,5/29/0/14;V/2,3/33/0/25;E/4,5/31/0/14;E/4,2/34/0/25;E/4,3/35/14/25
42:V/3,1/28/0/3;V/12,3/29/0/14;E/4,1/30/0/3;E/4,12/31/0/14;E/4,3/32/3/14
43:V/3,11/29/0/14;V/2,3/33/0/25;E/4,11/31/0/14;E/4,2/34/0/25;E/4,3/35/14/25
44:V/3,8/13/0/12;V/2,3/17/0/25;E/4,8/15/0/12;E/4,2/18/0/25;E/4,3/19/12/25
47:V/3,1/20/0/3;V/6,3/21/0/14;E/4,1/22/0/3;E/4,6/23/0/14;E/4,3/24/3/14
50:V/3,5/21/0/14;V/2,3/25/0/25;E/4,5/23/0/14;E/4,2/26/0/25;E/4,3/27/14/25
51:V/3,1/12/0/3;V/9,3/13/0/12;E/4,1/14/0/3;E/4,9/15/0/12;E/4,3/16/3/12
52:V/3,8/13/0/12;V/2,3/17/0/25;E/4,8/15/0/12;E/4,2/18/0/25;E/4,3/19/12/25
59:V/3,1/36/0/3;V/2,3/37/0/18;E/4,1/38/0/3;E/4,2/39/0/18;E/4,3/40/3/18
61:V/3,1/41/0/3;V/2,3/42/0/18;E/4,1/43/0/3;E/4,2/44/0/18;E/4,3/45/3/18
67:V/2,3/42/0/18;E/4,2/44/0/18
68:V/3,1/46/0/3;V/2,3/47/0/18;E/4,1/48/0/3;E/4,2/49/0/18;E/4,3/50/3/18
70:V/3,1/46/0/3;V/2,3/47/0/18;E/4,1/48/0/3;E/4,2/49/0/18;E/4,3/50/3/18
71:V/3,1/36/0/3;V/2,3/37/0/18;E/4,1/38/0/3;E/4,2/39/0/18;E/4,3/40/3/18
77:V/3,1/41/0/3;V/2,3/42/0/18;E/4,1/43/0/3;E/4,2/44/0/18;E/4,3/45/3/18
79:V/3,1/36/0/3;V/2,3/37/0/18;E/4,1/38/0/3;E/4,2/39/0/18;E/4,3/40/3/18
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;13433/32000,42697293/100000000;10,4197812500,1399945800,4352005421,5615000000,572648972759;10,4269729300,1411886794,4389126335,5662893768,41031393691
0;L;1,2;42697293/100000000,42729061/100000000;10,4269729300,1411886794,4389126335,5662893768,41031393691;8,42729061,14124120,43907589,56650000,62432679
0;L;2,3;42729061/100000000,43443813/100000000;8,42729061,14124120,43907589,56650000,62432679;10,4344381300,1424176033,4427329839,5712184303,100849425372
1;L;0,1;13433/32000,42697293/100000000;4,4197,1295,4363,5615,170756;4,4269,1359,4395,5663,77956
1;C;1,2;42697293/100000000;4,4269,1359,4395,5663,77956;4,4269,1362,4396,5665,15690
1;L;2,3;42729061/100000000,43443813/100000000;4,4272,1362,4396,5665,75690;10,4344381300,1424176033,4427329839,5712184303,100849425372
2;C;0,1;13433/32000;2,41,0,0,57,1702;2,41,17,0,57,1413
2;C;1,2;42697293/100000000;2,42,17,0,57,1613;2,42,18,0,57,1578
2;L;2,3;42729061/100000000,43443813/100000000;2,42,18,0,57,1578;10,4344381300,4427329839,1424176033,5712184303,100849425372
3;C;0,1;13433/32000;2,41,57,57,6,1630;2,41,57,57,6,1630
4;C;0,1;13433/32000;2,41,57,57,5,1652;2,41,57,57,6,1630
5;C;0,1;13433/32000;2,41,40,57,0,3351;2,41,57,57,6,1630
6;C;0,3;13433/32000;2,41,57,57,29,20;4,4197,5713,5713,2926,1540310
7;C;0,3;13433/32000;2,41,57,57,29,20;4,4197,5713,5713,2926,1540310
8;C;1,3;42697293/100000000;2,42,57,57,6,1830;4,4269,5713,5713,2926,2980310
9;L;0,1;13433/32000,42697293/100000000;4,4197,1400,5615,4984,771263;4,4269,1412,5663,5027,775229
9;C;1,2;42697293/100000000;4,4269,1412,5663,5027,775229;4,4269,1413,5665,5028,729638
9;L;2,3;42729061/100000000,43443813/100000000;4,4272,1413,5665,5028,789638;4,4344,1425,5713,5070,801206
10;L;0,1;13433/32000,42697293/100000000;4,4197,1295,5615,4989,954508;4,4269,1359,5663,5029,881868
10;C;1,2;42697293/100000000;4,4269,1359,5663,5029,881868;4,4269,1362,5665,5031,810809
10;L;2,3;42729061/100000000,43443813/100000000;4,4272,1362,5665,5031,870809;4,4344,1425,5713,5070,801206
11;C;0,1;13433/32000;2,41,0,57,23,3893;2,41,0,57,37,2213
11;C;1,2;42697293/100000000;2,42,0,57,37,2413;2,42,0,57,38,2263
11;L;2,3;42729061/100000000,43443813/100000000;2,42,0,57,38,2263;4,4344,1425,5713,5070,801206
12;C;0,3;13433/32000;2,41,0,10,57,1602;2,41,0,10,58,1372
13;C;0,3;13433/32000;2,41,0,0,57,1702;2,41,0,0,58,1472
13;C;3,4;16563761/50000000;4,3312,0,0,5713,963262;4,3312,0,0,5715,917550
13;L;4,5;33134363/100000000,33368517/100000000;4,3313,0,0,5715,937550;4,3336,0,0,5765,249550
13;L;5,6;33368517/100000000,16908009/50000000;4,3336,0,0,5765,249550;6,338160,0,0,581500,35500000
13;L;6,7;16908009/50000000,1375929/4000000;6,338160,0,0,581500,35500000;8,34398225,0,0,58650000,0
13;L;7,8;1375929/4000000,1399489/4000000;8,34398225,0,0,58650000,0;8,34987225,0,0,59150000,0
13;L;8,9;1399489/4000000,1423249/4000000;8,34987225,0,0,59150000,0;8,35581225,0,0,59650000,0
13;L;9,10;1423249/4000000,1447209/4000000;8,35581225,0,0,59650000,0;8,36180225,0,0,60150000,0
13;L;10,11;1447209/4000000,1471369/4000000;8,36180225,0,0,60150000,0;8,36784225,0,0,60650000,0
13;L;11,12;1471369/4000000,148113/400000;8,36784225,0,0,60650000,0;8,37028250,0,0,60850842,55782072
14;C;0,3;13433/32000;2,41,0,10,57,1602;2,41,0,10,58,1372
15;C;0,3;13433/32000;2,41,0,0,57,1702;2,41,0,0,58,1472
15;C;3,4;16563761/50000000;4,3312,0,0,5713,963262;4,3312,0,0,5715,917550
15;L;4,5;33134363/100000000,33368517/100000000;4,3313,0,0,5715,937550;4,3336,0,0,5765,249550
15;L;5,6;33368517/100000000,16908009/50000000;4,3336,0,0,5765,249550;6,338160,0,0,581500,35500000
15;L;6,7;16908009/50000000,1375929/4000000;6,338160,0,0,581500,35500000;8,34398225,0,0,58650000,0
15;L;7,8;1375929/4000000,1399489/4000000;8,34398225,0,0,58650000,0;8,34987225,0,0,59150000,0
15;L;8,9;1399489/4000000,1423249/4000000;8,34987225,0,0,59150000,0;8,35581225,0,0,59650000,0
15;L;9,10;1423249/4000000,1447209/4000000;8,35581225,0,0,59650000,0;8,36180225,0,0,60150000,0
15;L;10,11;1447209/4000000,1471369/4000000;8,36180225,0,0,60150000,0;8,36784225,0,0,60650000,0
15;L;11,12;1471369/4000000,148113/400000;8,36784225,0,0,60650000,0;8,37028250,0,0,60850842,55782072
16;L;3,4;16563761/50000000,33134363/100000000;10,3312752200,0,998471240,5712184303,160013670782;8,33134363,0,9727668,57150000,75281776
16;L;4,5;33134363/100000000,33368517/100000000;8,33134363,0,9727668,57150000,75281776;8,33368517,0,5163169,57650000,85877439
16;L;5,6;33368517/100000000,16908009/50000000;8,33368517,0,5163169,57650000,85877439;8,33816018,0,598670,58150000,194231100
16;L;6,7;16908009/50000000,1375929/4000000;8,33816018,0,598670,58150000,194231100;8,34398225,0,0,58650000,0
16;L;7,8;1375929/4000000,1399489/4000000;8,34398225,0,0,58650000,0;8,34987225,0,0,59150000,0
16;L;8,9;1399489/4000000,1423249/4000000;8,34987225,0,0,59150000,0;8,35581225,0,0,59650000,0
16;L;9,10;1423249/4000000,1447209/4000000;8,35581225,0,0,59650000,0;8,36180225,0,0,60150000,0
16;L;10,11;1447209/4000000,1471369/4000000;8,36180225,0,0,60150000,0;8,36784225,0,0,60650000,0
16;L;11,12;1471369/4000000,148113/400000;8,36784225,0,0,60650000,0;8,37028250,0,0,60850842,55782072
17;C;0,25;29185201/100000000;2,29,0,0,46,1568;8,29185201,0,0,54023329,47515518
18;C;0,25;29185201/100000000;2,29,0,0,50,800;8,29185201,0,0,54023329,47515518
19;L;12,13;148113/400000,18277511/50000000;8,37028250,0,0,60850842,55782072;10,3655502200,0,0,6046074920,123493987200
19;L;13,14;18277511/50000000,36528387/100000000;10,3655502200,0,0,6046074920,123493987200;10,3652838700,0,0,6043871810,1088574647800
19;L;14,15;36528387/100000000,8942721/25000000;10,3652838700,0,0,6043871810,1088574647800;8,35770884,0,0,59808765,58349550
19;L;15,16;8942721/25000000,34995247/100000000;8,35770884,0,0,59808765,58349550;10,3499524700,0,0,5915678052,370170970592
19;L;16,17;34995247/100000000,2139257/6250000;10,3499524700,0,0,5915678052,370170970592;10,3422811200,0,0,5850479618,478733148152
19;L;17,18;2139257/6250000,681669/2000000;10,3422811200,0,0,5850479618,478733148152;10,3408345000,0,0,5838103236,1211612656608
19;L;18,19;681669/2000000,33469479/100000000;10,3408345000,0,0,5838103236,1211612656608;8,33469479,0,0,57852812,87385312
19;L;19,20;33469479/100000000,32719347/100000000;8,33469479,0,0,57852812,87385312;10,3271934700,0,0,5720082750,666304875000
19;L;20,21;32719347/100000000,31977717/100000000;10,3271934700,0,0,5720082750,666304875000;10,3197771700,0,0,5654884316,745314424288
19;L;21,22;31977717/100000000,31244589/100000000;10,3197771700,0,0,5654884316,745314424288;8,31244589,0,0,55896859,107868238
19;L;22,23;31244589/100000000,15259981/50000000;8,31244589,0,0,55896859,107868238;10,3051996200,0,0,5524487447,895878844382
19;L;23,24;15259981/50000000,29803837/100000000;10,3051996200,0,0,5524487447,895878844382;10,2980383700,0,0,5459289013,945074971662
19;L;24,25;29803837/100000000,29185201/100000000;10,2980383700,0,0,5459289013,945074971662;8,29185201,0,0,54023329,47515518
20;C;0,3;13433/32000;2,41,55,57,3,1908;2,41,56,58,3,1682
21;C;0,14;16563761/50000000;2,33,29,57,0,2510;2,33,31,62,0,1795
22;C;0,3;13433/32000;2,41,57,56,1,1813;2,41,58,56,3,1682
23;C;0,14;16563761/50000000;2,33,29,57,0,2510;2,33,31,62,0,1795
24;C;3,14;16563761/50000000;2,33,58,56,3,82;2,33,62,31,0,1795
25;C;0,25;29185201/100000000;2,29,29,29,0,4118;2,29,34,34,0,3488
26;C;0,25;29185201/100000000;2,29,29,29,0,4118;2,29,34,34,0,3488
27;C;14,25;29185201/100000000;2,29,31,62,0,995;2,29,34,34,0,3488
28;C;0,3;13433/32000;2,41,0,57,33,2773;2,41,0,58,34,2524
29;C;0,14;16563761/50000000;2,33,0,57,16,2839;2,33,0,62,18,2108
30;C;0,3;13433/32000;2,41,0,57,33,2773;2,41,0,58,34,2524
31;C;0,14;16563761/50000000;2,33,0,57,12,3063;2,33,0,62,18,2108
32;C;3,14;16563761/50000000;2,33,58,0,34,924;2,33,62,0,18,2108
33;C;0,25;29185201/100000000;2,29,0,29,12,4671;2,29,0,34,14,4252
34;C;0,25;29185201/100000000;2,29,0,29,4,4927;2,29,0,34,14,4252
35;C;14,25;29185201/100000000;2,29,0,62,18,1308;2,29,0,34,14,4252
36;C;0,3;13433/32000;2,41,0,0,50,3200;2,41,0,0,51,2998
37;C;0,18;16563761/50000000;2,33,0,0,37,3862;2,33,0,0,42,3072
38;C;0,3;13433/32000;2,41,0,0,51,2998;2,41,0,0,51,2998
39;C;0,18;16563761/50000000;2,33,0,0,39,3558;2,33,0,0,42,3072
40;C;3,18;16563761/50000000;2,33,0,0,51,1398;2,33,0,0,42,3072
41;C;0,3;13433/32000;2,41,23,56,0,4535;2,41,23,57,0,4422
42;C;0,18;16563761/50000000;2,33,23,23,0,5542;2,33,26,26,0,5248
43;C;0,3;13433/32000;2,41,23,56,0,4535;2,41,23,57,0,4422
44;C;0,18;16563761/50000000;2,33,23,23,0,5542;2,33,26,26,0,5248
45;C;3,18;16563761/50000000;2,33,23,57,0,2822;2,33,26,26,0,5248
46;C;0,3;13433/32000;2,41,0,56,13,4726;2,41,0,57,13,4613
47;C;0,18;16563761/50000000;2,33,0,23,10,5871;2,33,0,26,11,5682
48;C;0,3;13433/32000;2,41,0,56,12,4776;2,41,0,57,13,4613
49;C;0,18;16563761/50000000;2,33,0,23,4,6039;2,33,0,26,11,5682
50;C;3,18;16563761/50000000;2,33,0,57,13,3013;2,33,0,26,11,5682
MASS SLACK NUMERATOR 1374479807235011890277681621376053707381630334948684526541151899

BIN 26: PQP; (41/40,21/20]; gamma0=1131/2000; mass ceiling=23253367/25000000.
GAMMA 0=1131/2000;1=1141/2000;2=4136895000/7234350281;3=2158380000/3773028163;4=3237570000/5643264433;5=11331495000/19702592081;6=1151/2000;7=1161/2000;8=1171/2000;9=1181/2000;10=1191/2000;11=1201/2000;12=1211/2000;13=359730000/590747047;14=1221/2000;15=7914060000/12867722081;16=1231/2000;17=1241/2000;18=1251/2000;19=1261/2000;20=4316760000/6833611003;21=1271/2000;22=1281/2000;23=1291/2000;24=1301/2000;25=1311/2000;26=1321/2000;27=1331/2000;28=5935545000/8910692081;29=1341/2000;30=1351/2000;31=1361/2000;32=1371/2000;33=1381/2000;34=1391/2000;35=1401/2000;36=1411/2000;37=1421/2000;38=1431/2000;39=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,41623395,42362695;1,2,42362695,42562018;2,3,42562018,42593958;3,4,42593958,42840035;4,5,42840035,43052658;5,6,33409040,33424976;6,7,33424976,33751724;7,8,33751724,34281025;8,9,34281025,34869025;9,10,34869025,35462025;10,11,35462025,36060025;11,12,36060025,36663025;12,13,36663025,37080895;13,14,37080895,36813718;14,15,36813718,36042617;15,16,36042617,35963442;16,17,35963442,35123100;17,18,35123100,34292692;18,19,34292692,33472218;19,20,33472218,33277546;20,21,33277546,32661679;21,22,32661679,31861075;22,23,31861075,31070404;23,24,31070404,30289668;24,25,30289668,29518867;25,26,29518867,28758000;26,27,28758000,28007067;27,28,28007067,27915399;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0;38,39,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;16585531631/5395950000,1/3,19702592081/10791900000;-5029677214537
1;0,3,7;17/30,2,1;-2
3;0,3,7;37/30,2,1;-1
4;0,3,7;1/30,6,1;-4
5;2,3,8;8/15,1,23/60;-7
8;0,3,5;1/30,6,1;-3
10;10;1;-1
12;10;1;-1
13;2,3,10;6/5,1/3,23/60;-1
17;2,3,8;8/15,1,23/60;-7
18;1,4,13;16585531631/5395950000,1/3,19702592081/10791900000;-5029677214537
19;0,3,13;37/30,2,1;-1
21;0,3,13;17/30,2,1;-2
22;0,3,13;1/30,6,1;-4
25;2,3,8;8/15,1,23/60;-7
26;0,3,11;1/30,6,1;-3
27;0,1,7;2/3,2,1;-1
28;0,3,7;17/30,2,1;-2
30;0,3,7;37/30,2,1;-1
31;2,3,7;29/30,7/3,11/20;-37
35;1,3,6;37/30,10/3,21/20;-37
36;1,4,10;8910692081/2697975000,2,19702592081/10791900000;-233277214537
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;37/30,2,1;-1
48;0,3,13;17/30,2,1;-2
49;2,3,13;29/30,7/3,11/20;-37
53;1,3,12;37/30,10/3,21/20;-37
54;0,1,7;5/3,2,1;-1
55;0,3,7;17/30,2,1;-2
56;1,4,7;2410910489/674493750,5/3,19702592081/10791900000;-1432377214537
57;0,3,7;37/30,2,1;-1
58;2,3,7;59/30,17/6,4/5;-37
60;1,4,12;6833611003/1348987500,1,19702592081/10791900000;-233277214537
62;1,3,6;37/30,10/3,21/20;-37
63;1,4,6;6833611003/1348987500,1,19702592081/10791900000;-233277214537
64;10;1;-1
65;1,4,6;6833611003/1348987500,1,19702592081/10791900000;-233277214537
66;10;1;-1
69;1,4,12;6833611003/1348987500,1,19702592081/10791900000;-233277214537
72;0,1,13;5/3,2,1;-1
73;0,3,13;37/30,2,1;-1
74;1,4,6;6833611003/1348987500,1,19702592081/10791900000;-233277214537
75;0,3,13;17/30,2,1;-2
76;2,3,13;59/30,17/6,4/5;-37
78;1,4,9;2410910489/674493750,5/3,19702592081/10791900000;-1432377214537
80;1,3,12;37/30,10/3,21/20;-37
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,2,3;2529055709260,51762269160000000000000,1834796643780,800
6;5,4,12,3;154346543795,337246875,82441912745,5
7;11,4,2,3;82441912745,111004827770828446875,1834796643780,5
9;1,4,10,3;2529055709260,2269012343652384356250,154346543795,5
11;1,4,6,3;2529055709260,4774040722138692178125,82441912745,65
14;5,4,2,3;82441912745,111004827770828446875,1834796643780,5
15;1,4,12,3;2529055709260,4774040722138692178125,82441912745,65
16;11,4,2,3;82441912745,111004827770828446875,1834796643780,5
20;11,4,6,3;154346543795,337246875,82441912745,5
23;5,4,2,3;82441912745,111004827770828446875,1834796643780,5
24;1,4,2,3;2529055709260,51762269160000000000000,1834796643780,800
29;1,4,7,3;2529055709260,11681815104219074850000,256625449215,170
32;8,4,2,3;256625449215,5186214358295925150000,11953981709260,130
33;1,4,12,3;2529055709260,18781474842109537425000,6373631631945,95
34;11,4,2,3;6373631631945,2697975000,11953981709260,5
38;1,4,6,3;2529055709260,18781474842109537425000,6373631631945,95
41;5,4,2,3;6373631631945,2697975000,11953981709260,5
42;1,4,12,3;2529055709260,18781474842109537425000,6373631631945,95
43;11,4,2,3;6373631631945,2697975000,11953981709260,5
44;8,4,2,3;256625449215,5186214358295925150000,11953981709260,130
47;1,4,6,3;2529055709260,18781474842109537425000,6373631631945,95
50;5,4,2,3;6373631631945,2697975000,11953981709260,5
51;1,4,9,3;2529055709260,11681815104219074850000,256625449215,170
52;8,4,2,3;256625449215,5186214358295925150000,11953981709260,130
59;1,4,2,3;2529055709260,9705425467500000000000,1507843259345,25
61;1,4,2,3;2529055709260,9705425467500000000000,1507843259345,25
68;1,4,2,3;2529055709260,9705425467500000000000,1507843259345,25
70;1,4,2,3;2529055709260,9705425467500000000000,1507843259345,25
71;1,4,2,3;2529055709260,9705425467500000000000,1507843259345,25
77;1,4,2,3;2529055709260,9705425467500000000000,1507843259345,25
79;1,4,2,3;2529055709260,9705425467500000000000,1507843259345,25
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;2,3
2;2;E;4,1
3;2;E;4,2
4;2;E;4,3
5;6;V;3,5
6;6;V;12,3
7;6;E;4,5
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;9;V;3,1
14;9;E;4,1
15;9;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/5;V/2,3/1/0/2;E/4,1/2/0/5;E/4,2/3/0/2;E/4,3/4/2/5
6:V/3,5/5/0/4;V/12,3/6/0/3;E/4,5/7/0/4;E/4,12/8/0/3;E/4,3/9/3/4
7:V/3,11/6/0/3;V/2,3/10/0/2;E/4,11/8/0/3;E/4,2/11/0/2;E/4,3/12/2/3
9:V/3,1/13/0/5;V/10,3/5/0/4;E/4,1/14/0/5;E/4,10/7/0/4;E/4,3/15/4/5
11:V/3,1/16/0/5;V/6,3/17/0/3;E/4,1/18/0/5;E/4,6/19/0/3;E/4,3/20/3/5
14:V/3,5/17/0/3;V/2,3/21/0/2;E/4,5/19/0/3;E/4,2/22/0/2;E/4,3/23/2/3
15:V/3,1/16/0/5;V/12,3/17/0/3;E/4,1/18/0/5;E/4,12/19/0/3;E/4,3/20/3/5
16:V/3,11/17/0/3;V/2,3/21/0/2;E/4,11/19/0/3;E/4,2/22/0/2;E/4,3/23/2/3
20:V/3,11/5/0/4;V/6,3/6/0/3;E/4,11/7/0/4;E/4,6/8/0/3;E/4,3/9/3/4
23:V/3,5/6/0/3;V/2,3/10/0/2;E/4,5/8/0/3;E/4,2/11/0/2;E/4,3/12/2/3
24:V/3,1/0/0/5;V/2,3/1/0/2;E/4,1/2/0/5;E/4,2/3/0/2;E/4,3/4/2/5
29:V/3,1/24/0/5;V/7,3/25/0/13;E/4,1/26/0/5;E/4,7/27/0/13;E/4,3/28/5/13
32:V/3,8/25/0/13;V/2,3/29/0/28;E/4,8/27/0/13;E/4,2/30/0/28;E/4,3/31/13/28
33:V/3,1/32/0/5;V/12,3/33/0/15;E/4,1/34/0/5;E/4,12/35/0/15;E/4,3/36/5/15
34:V/3,11/33/0/15;V/2,3/37/0/28;E/4,11/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
38:V/3,1/40/0/5;V/6,3/41/0/15;E/4,1/42/0/5;E/4,6/43/0/15;E/4,3/44/5/15
40:V/2,3/37/0/28;E/4,2/38/0/28
41:V/3,5/41/0/15;V/2,3/45/0/28;E/4,5/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
42:V/3,1/40/0/5;V/12,3/41/0/15;E/4,1/42/0/5;E/4,12/43/0/15;E/4,3/44/5/15
43:V/3,11/41/0/15;V/2,3/45/0/28;E/4,11/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
44:V/3,8/25/0/13;V/2,3/29/0/28;E/4,8/27/0/13;E/4,2/30/0/28;E/4,3/31/13/28
47:V/3,1/32/0/5;V/6,3/33/0/15;E/4,1/34/0/5;E/4,6/35/0/15;E/4,3/36/5/15
50:V/3,5/33/0/15;V/2,3/37/0/28;E/4,5/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
51:V/3,1/24/0/5;V/9,3/25/0/13;E/4,1/26/0/5;E/4,9/27/0/13;E/4,3/28/5/13
52:V/3,8/25/0/13;V/2,3/29/0/28;E/4,8/27/0/13;E/4,2/30/0/28;E/4,3/31/13/28
59:V/3,1/48/0/5;V/2,3/49/0/20;E/4,1/50/0/5;E/4,2/51/0/20;E/4,3/52/5/20
61:V/3,1/53/0/5;V/2,3/54/0/20;E/4,1/55/0/5;E/4,2/56/0/20;E/4,3/57/5/20
67:V/2,3/54/0/20;E/4,2/56/0/20
68:V/3,1/58/0/5;V/2,3/59/0/20;E/4,1/60/0/5;E/4,2/61/0/20;E/4,3/62/5/20
70:V/3,1/58/0/5;V/2,3/59/0/20;E/4,1/60/0/5;E/4,2/61/0/20;E/4,3/62/5/20
71:V/3,1/48/0/5;V/2,3/49/0/20;E/4,1/50/0/5;E/4,2/51/0/20;E/4,3/52/5/20
77:V/3,1/53/0/5;V/2,3/54/0/20;E/4,1/55/0/5;E/4,2/56/0/20;E/4,3/57/5/20
79:V/3,1/48/0/5;V/2,3/49/0/20;E/4,1/50/0/5;E/4,2/51/0/20;E/4,3/52/5/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;8324679/20000000,8472539/20000000;8,41623395,11459604,42397540,56550000,78111584;8,42362695,11560926,42772408,57050000,103904060
0;L;1,2;8472539/20000000,21281009/50000000;8,42362695,11560926,42772408,57050000,103904060;10,4256201800,1158809201,4287291482,5718405717,1095611417097
0;L;2,3;21281009/50000000,21296979/50000000;10,4256201800,1158809201,4287291482,5718405717,1095611417097;10,4259395800,1159243932,4288899871,5720550992,98512994607
0;L;3,4;21296979/50000000,8568007/20000000;10,4259395800,1159243932,4288899871,5720550992,98512994607;10,4284003500,1162587733,4301271062,5737051734,1817094499355
0;L;4,5;8568007/20000000,21526329/50000000;10,4284003500,1162587733,4301271062,5737051734,1817094499355;10,4305265800,1165469240,4311931885,5751271180,497936984375
1;C;0,2;8324679/20000000;2,41,0,0,57,1702;2,41,0,0,58,1472
2;L;0,1;8324679/20000000,8472539/20000000;4,4162,1034,4251,5655,141793;4,4236,1103,4283,5705,65252
2;L;1,2;8472539/20000000,21281009/50000000;4,4236,1103,4283,5705,65252;4,4256,1121,4292,5719,28173
2;L;2,3;21281009/50000000,21296979/50000000;4,4256,1121,4292,5719,28173;4,4259,1124,4293,5721,27093
2;L;3,4;21296979/50000000,8568007/20000000;4,4259,1124,4293,5721,27093;6,428400,114604,430293,573706,236708463
2;L;4,5;8568007/20000000,21526329/50000000;6,428400,114604,430293,573706,236708463;10,4305265800,1165469240,4311931885,5751271180,497936984375
3;C;0,2;8324679/20000000;2,41,0,0,57,1702;2,41,0,0,58,1472
4;C;2,3;21281009/50000000;2,42,0,0,58,1672;2,42,0,0,58,1672
4;C;3,4;21296979/50000000;2,42,0,0,58,1672;2,42,17,0,58,1383
4;L;4,5;8568007/20000000,21526329/50000000;2,42,17,0,58,1383;10,4305265800,4311931885,1165469240,5751271180,497936984375
5;C;0,4;8324679/20000000;2,41,57,57,5,1652;2,41,58,58,5,1422
6;C;0,3;8324679/20000000;2,41,36,57,0,3655;2,41,37,58,0,3467
7;C;0,4;8324679/20000000;2,41,57,57,4,1670;2,41,58,58,5,1422
8;C;0,3;8324679/20000000;2,41,36,57,0,3655;2,41,37,58,0,3467
9;C;3,4;21296979/50000000;2,42,37,58,0,3667;2,42,58,58,5,1622
10;C;0,2;8324679/20000000;2,41,36,54,0,3988;2,41,37,55,0,3806
11;C;0,2;8324679/20000000;2,41,36,55,0,3879;2,41,37,55,0,3806
12;C;2,3;21281009/50000000;2,42,55,37,0,4006;2,42,58,37,0,3667
13;C;0,5;8324679/20000000;2,41,57,57,27,244;4,4162,5752,5752,2739,2064750
14;C;0,5;8324679/20000000;2,41,57,57,27,244;4,4162,5752,5752,2739,2064750
15;C;4,5;8568007/20000000;2,42,58,58,5,1622;2,42,58,58,28,104
16;L;0,1;8324679/20000000,8472539/20000000;4,4162,1146,5655,4948,982251;4,4236,1157,5705,4992,994198
16;C;1,2;8472539/20000000;4,4236,1157,5705,4992,994198;4,4236,1159,5719,5003,609740
16;C;2,5;21281009/50000000;4,4256,1159,5719,5003,1009740;4,4256,1166,5752,5032,32892
17;C;0,3;8324679/20000000;2,41,0,57,22,3983;2,41,0,58,22,3868
18;L;0,1;8324679/20000000,8472539/20000000;4,4162,1034,5655,4953,1127401;4,4236,1103,5705,4994,1076294
18;C;1,2;8472539/20000000;4,4236,1103,5705,4994,1076294;4,4236,1121,5719,5005,656348
18;C;2,5;21281009/50000000;4,4256,1121,5719,5005,1056348;4,4256,1166,5752,5032,32892
19;C;0,3;8324679/20000000;2,41,0,57,21,4069;2,41,0,58,22,3868
20;C;3,5;21296979/50000000;2,42,0,58,22,4068;4,4259,1166,5752,5032,92892
21;C;0,2;8324679/20000000;2,41,0,54,21,4402;2,41,0,55,21,4293
22;C;0,2;8324679/20000000;2,41,0,55,21,4293;2,41,0,55,21,4293
23;C;2,3;21281009/50000000;2,42,0,55,21,4493;2,42,0,58,22,4068
24;C;0,5;8324679/20000000;2,41,0,9,57,1621;2,41,0,9,58,1391
25;C;0,6;417613/1250000;2,33,0,0,57,102;4,3340,0,0,5755,559950
25;L;6,7;2089061/6250000,8437931/25000000;4,3342,0,0,5755,599950;4,3375,0,0,5805,103950
25;L;7,8;8437931/25000000,1371241/4000000;4,3375,0,0,5805,103950;8,34281025,0,0,58550000,0
25;L;8,9;1371241/4000000,1394761/4000000;8,34281025,0,0,58550000,0;8,34869025,0,0,59050000,0
25;L;9,10;1394761/4000000,1418481/4000000;8,34869025,0,0,59050000,0;8,35462025,0,0,59550000,0
25;L;10,11;1418481/4000000,1442401/4000000;8,35462025,0,0,59550000,0;8,36060025,0,0,60050000,0
25;L;11,12;1442401/4000000,1466521/4000000;8,36060025,0,0,60050000,0;8,36663025,0,0,60550000,0
25;L;12,13;1466521/4000000,7416179/20000000;8,36663025,0,0,60550000,0;8,37080895,0,0,60894084,67601888
26;C;0,5;8324679/20000000;2,41,0,8,57,1638;2,41,0,9,58,1391
27;C;0,6;417613/1250000;2,33,0,0,57,102;4,3340,0,0,5755,559950
27;L;6,7;2089061/6250000,8437931/25000000;4,3342,0,0,5755,599950;4,3375,0,0,5805,103950
27;L;7,8;8437931/25000000,1371241/4000000;4,3375,0,0,5805,103950;8,34281025,0,0,58550000,0
27;L;8,9;1371241/4000000,1394761/4000000;8,34281025,0,0,58550000,0;8,34869025,0,0,59050000,0
27;L;9,10;1394761/4000000,1418481/4000000;8,34869025,0,0,59050000,0;8,35462025,0,0,59550000,0
27;L;10,11;1418481/4000000,1442401/4000000;8,35462025,0,0,59550000,0;8,36060025,0,0,60050000,0
27;L;11,12;1442401/4000000,1466521/4000000;8,36060025,0,0,60050000,0;8,36663025,0,0,60550000,0
27;L;12,13;1466521/4000000,7416179/20000000;8,36663025,0,0,60550000,0;8,37080895,0,0,60894084,67601888
28;L;5,6;417613/1250000,2089061/6250000;10,3340904000,0,814763418,5751271180,200891772476;8,33424976,0,7809619,57550000,51074839
28;L;6,7;2089061/6250000,8437931/25000000;8,33424976,0,7809619,57550000,51074839;8,33751724,0,3277143,58050000,133757551
28;L;7,8;8437931/25000000,1371241/4000000;8,33751724,0,3277143,58050000,133757551;8,34281025,0,0,58550000,0
28;L;8,9;1371241/4000000,1394761/4000000;8,34281025,0,0,58550000,0;8,34869025,0,0,59050000,0
28;L;9,10;1394761/4000000,1418481/4000000;8,34869025,0,0,59050000,0;8,35462025,0,0,59550000,0
28;L;10,11;1418481/4000000,1442401/4000000;8,35462025,0,0,59550000,0;8,36060025,0,0,60050000,0
28;L;11,12;1442401/4000000,1466521/4000000;8,36060025,0,0,60050000,0;8,36663025,0,0,60550000,0
28;L;12,13;1466521/4000000,7416179/20000000;8,36663025,0,0,60550000,0;8,37080895,0,0,60894084,67601888
29;C;0,28;27915399/100000000;2,27,0,0,45,1350;8,27915399,0,0,52835025,66498750
30;C;0,28;27915399/100000000;2,27,0,0,49,598;8,27915399,0,0,52835025,66498750
31;L;13,14;7416179/20000000,18406859/50000000;8,37080895,0,0,60894084,67601888;10,3681371800,0,0,6067430907,377562314702
31;L;14,15;18406859/50000000,36042617/100000000;10,3681371800,0,0,6067430907,377562314702;10,3604261700,0,0,6003550358,197916143672
31;L;15,16;36042617/100000000,17981721/50000000;10,3604261700,0,0,6003550358,197916143672;8,35963442,0,0,59969527,62792542
31;L;16,17;17981721/50000000,351231/1000000;8,35963442,0,0,59969527,62792542;8,35123100,0,0,59264745,169950
31;L;17,18;351231/1000000,8573173/25000000;8,35123100,0,0,59264745,169950;8,34292692,0,0,58559962,101117112
31;L;18,19;8573173/25000000,16736109/50000000;8,34292692,0,0,58559962,101117112;10,3347221800,0,0,5785517948,146739738592
31;L;19,20;16736109/50000000,16638773/50000000;10,3347221800,0,0,5785517948,146739738592;10,3327754600,0,0,5768669323,483757443342
31;L;20,21;16638773/50000000,32661679/100000000;10,3327754600,0,0,5768669323,483757443342;10,3266167900,0,0,5715039709,249106390638
31;L;21,22;32661679/100000000,1274443/4000000;10,3266167900,0,0,5715039709,249106390638;8,31861075,0,0,56445615,94543550
31;L;22,23;1274443/4000000,7767601/25000000;8,31861075,0,0,56445615,94543550;10,3107040400,0,0,5574083230,290065534200
31;L;23,24;7767601/25000000,7572417/25000000;10,3107040400,0,0,5574083230,290065534200;8,30289668,0,0,55036050,795000
31;L;24,25;7572417/25000000,29518867/100000000;8,30289668,0,0,55036050,795000;8,29518867,0,0,54331268,35024352
31;L;25,26;29518867/100000000,14379/50000;8,29518867,0,0,54331268,35024352;10,2875800000,0,0,5362648511,1894938965758
31;L;26,27;14379/50000,28007067/100000000;10,2875800000,0,0,5362648511,1894938965758;8,28007067,0,0,52921703,103159582
31;L;27,28;28007067/100000000,27915399/100000000;8,28007067,0,0,52921703,103159582;8,27915399,0,0,52835025,66498750
32;C;0,5;8324679/20000000;2,41,54,57,2,2027;2,41,55,58,2,1803
33;C;0,15;417613/1250000;2,33,27,57,0,2622;2,33,30,62,0,1856
34;C;0,5;8324679/20000000;2,41,57,55,0,1926;2,41,58,55,2,1803
35;C;0,15;417613/1250000;2,33,27,57,0,2622;2,33,30,62,0,1856
36;C;5,15;417613/1250000;2,33,58,55,2,203;2,33,62,30,0,1856
37;C;0,28;27915399/100000000;2,27,27,27,0,3942;2,27,32,32,0,3352
38;C;0,28;27915399/100000000;2,27,27,27,0,3942;2,27,32,32,0,3352
39;C;15,28;27915399/100000000;2,27,30,62,0,656;2,27,32,32,0,3352
40;C;0,5;8324679/20000000;2,41,0,57,33,2773;2,41,0,58,33,2658
41;C;0,15;417613/1250000;2,33,0,57,16,2839;2,33,0,62,17,2178
42;C;0,5;8324679/20000000;2,41,0,57,33,2773;2,41,0,58,33,2658
43;C;0,15;417613/1250000;2,33,0,57,12,3063;2,33,0,62,17,2178
44;C;5,15;417613/1250000;2,33,58,0,33,1058;2,33,62,0,17,2178
45;C;0,28;27915399/100000000;2,27,0,27,12,4383;2,27,0,32,14,3984
46;C;0,28;27915399/100000000;2,27,0,27,4,4639;2,27,0,32,14,3984
47;C;15,28;27915399/100000000;2,27,0,62,17,978;2,27,0,32,14,3984
48;C;0,5;8324679/20000000;2,41,0,0,50,3200;2,41,0,0,51,2998
49;C;0,20;16638773/50000000;2,33,0,0,37,3862;2,33,0,0,41,3238
50;C;0,5;8324679/20000000;2,41,0,0,50,3200;2,41,0,0,51,2998
51;C;0,20;16638773/50000000;2,33,0,0,38,3712;2,33,0,0,41,3238
52;C;5,20;16638773/50000000;2,33,0,0,51,1398;2,33,0,0,41,3238
53;C;0,5;8324679/20000000;2,41,22,55,0,4691;2,41,22,56,0,4580
54;C;0,20;16638773/50000000;2,33,22,22,0,5632;2,33,25,25,0,5350
55;C;0,5;8324679/20000000;2,41,22,56,0,4580;2,41,22,56,0,4580
56;C;0,20;16638773/50000000;2,33,22,22,0,5632;2,33,25,25,0,5350
57;C;5,20;16638773/50000000;2,33,22,56,0,2980;2,33,25,25,0,5350
58;C;0,5;8324679/20000000;2,41,0,55,13,4837;2,41,0,56,13,4726
59;C;0,20;16638773/50000000;2,33,0,22,10,5916;2,33,0,25,11,5733
60;C;0,5;8324679/20000000;2,41,0,56,12,4776;2,41,0,56,13,4726
61;C;0,20;16638773/50000000;2,33,0,22,4,6084;2,33,0,25,11,5733
62;C;5,20;16638773/50000000;2,33,0,56,13,3126;2,33,0,25,11,5733
MASS SLACK NUMERATOR 12706458716182581581753142353486270080287927142508999857430069448292907277366011

BIN 27: PQP; (21/20,43/40]; gamma0=2847/5000; mass ceiling=94462597/100000000.
GAMMA 0=2847/5000;1=359/625;2=11601292500/20040092081;3=2897/5000;4=14029470000/24183175867;5=9352980000/16078818697;6=4406692500/7571850281;7=1461/2500;8=2947/5000;9=743/1250;10=2997/5000;11=1511/2500;12=8813385000/14464277081;13=3047/5000;14=384/625;15=8273790000/13385087081;16=3097/5000;17=1561/2500;18=3147/5000;19=793/1250;20=404696250/636578273;21=3197/5000;22=1611/2500;23=3247/5000;24=409/625;25=3297/5000;26=1661/2500;27=3347/5000;28=6205342500/9248192081;29=843/1250;30=3397/5000;31=1711/2500;32=3447/5000;33=434/625;34=3497/5000;35=1761/2500;36=3547/5000;37=893/1250;38=3597/5000;39=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,41333076,42062169;1,2,42062169,42724415;2,3,42724415,38597475;3,4,38597475,34994182;4,5,34994182,33908672;5,6,33908672,33932672;6,7,33932672,34161398;7,8,34161398,34739236;8,9,34739236,35331136;9,10,35331136,35928036;10,11,35928036,36529936;11,12,36529936,37127185;12,13,37127185,37112561;13,14,37112561,36195040;14,15,36195040,35517155;15,16,35517155,35289002;16,17,35289002,34394450;17,18,34394450,33511381;18,19,33511381,32639796;19,20,32639796,32408711;20,21,32408711,31779696;21,22,31779696,30931080;22,23,30931080,30093948;23,24,30093948,29268300;24,25,29268300,28454137;25,26,28454137,27651457;26,27,27651457,26860262;27,28,26860262,26612792;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0;38,39,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;16923031631/5395950000,1/3,20040092081/10791900000;-13022547384869
1;0,3,7;31/60,2,1;-2
3;0,3,7;71/60,2,1;-1
4;2,3,7;7/60,7/3,49/120;-91
5;2,3,8;19/30,1,49/120;-11
8;1,3,6;71/60,10/3,43/40;-71
10;10;1;-1
12;10;1;-1
13;2,3,10;13/10,1/3,49/120;-1
17;2,3,8;19/30,1,49/120;-11
18;1,4,13;16923031631/5395950000,1/3,20040092081/10791900000;-13022547384869
19;0,3,13;71/60,2,1;-1
21;0,3,13;31/60,2,1;-2
22;2,3,8;19/30,1,49/120;-11
25;2,3,8;19/30,1,49/120;-11
26;1,3,12;71/60,10/3,43/40;-71
27;0,1,7;2/3,2,1;-1
28;0,3,7;31/60,2,1;-2
30;0,3,7;71/60,2,1;-1
31;2,3,7;67/60,7/3,23/40;-71
35;1,3,6;71/60,10/3,43/40;-71
36;1,4,10;9248192081/2697975000,2,20040092081/10791900000;-1031547384869
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;71/60,2,1;-1
48;0,3,13;31/60,2,1;-2
49;2,3,13;67/60,7/3,23/40;-71
53;1,3,12;71/60,10/3,43/40;-71
54;0,1,7;5/3,2,1;-1
55;0,3,7;31/60,2,1;-2
56;1,4,7;2495285489/674493750,5/3,20040092081/10791900000;-4029297384869
57;0,3,7;71/60,2,1;-1
58;2,3,7;127/60,17/6,33/40;-71
60;1,4,12;7002361003/1348987500,1,20040092081/10791900000;-1031547384869
62;1,3,6;71/60,10/3,43/40;-71
63;1,4,6;7002361003/1348987500,1,20040092081/10791900000;-1031547384869
64;10;1;-1
65;1,4,6;7002361003/1348987500,1,20040092081/10791900000;-1031547384869
66;10;1;-1
69;1,4,12;7002361003/1348987500,1,20040092081/10791900000;-1031547384869
72;0,1,13;5/3,2,1;-1
73;0,3,13;71/60,2,1;-1
74;1,4,6;7002361003/1348987500,1,20040092081/10791900000;-1031547384869
75;0,3,13;31/60,2,1;-2
76;2,3,13;127/60,17/6,33/40;-71
78;1,4,9;2495285489/674493750,5/3,20040092081/10791900000;-4029297384869
80;1,3,12;71/60,10/3,43/40;-71
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,2,3;12697604605240,129405672900000000000000,19056189999720,3200
6;5,4,12,3;12799292965,337246875,380193526785,10
7;11,4,2,3;380193526785,401386481065630659375,19056189999720,90
9;1,4,10,3;12697604605240,5370118653264514931250,12799292965,340
11;1,4,6,3;12697604605240,11783895702413507465625,380193526785,770
14;5,4,2,3;380193526785,401386481065630659375,19056189999720,90
15;1,4,12,3;12697604605240,11783895702413507465625,380193526785,770
16;11,4,2,3;380193526785,401386481065630659375,19056189999720,90
20;11,4,6,3;12799292965,337246875,380193526785,10
23;5,4,2,3;380193526785,401386481065630659375,19056189999720,90
24;1,4,2,3;12697604605240,129405672900000000000000,19056189999720,3200
29;1,4,7,3;12697604605240,26785240113616119450000,14435640751965,620
32;8,4,2,3;14435640751965,15006321949438880550000,62628128605240,580
33;1,4,12,3;12697604605240,45744038281808059725000,16308035401965,370
34;11,4,2,3;16308035401965,2697975000,62628128605240,10
38;1,4,6,3;12697604605240,45744038281808059725000,16308035401965,370
41;5,4,2,3;16308035401965,2697975000,62628128605240,10
42;1,4,12,3;12697604605240,45744038281808059725000,16308035401965,370
43;11,4,2,3;16308035401965,2697975000,62628128605240,10
44;8,4,2,3;14435640751965,15006321949438880550000,62628128605240,580
47;1,4,6,3;12697604605240,45744038281808059725000,16308035401965,370
50;5,4,2,3;16308035401965,2697975000,62628128605240,10
51;1,4,9,3;12697604605240,26785240113616119450000,14435640751965,620
52;8,4,2,3;14435640751965,15006321949438880550000,62628128605240,580
59;1,4,2,3;12697604605240,24263563668750000000000,2815238756920,400
61;1,4,2,3;12697604605240,24263563668750000000000,2815238756920,400
68;1,4,2,3;12697604605240,24263563668750000000000,2815238756920,400
70;1,4,2,3;12697604605240,24263563668750000000000,2815238756920,400
71;1,4,2,3;12697604605240,24263563668750000000000,2815238756920,400
77;1,4,2,3;12697604605240,24263563668750000000000,2815238756920,400
79;1,4,2,3;12697604605240,24263563668750000000000,2815238756920,400
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;2,3
2;2;E;4,1
3;2;E;4,2
4;2;E;4,3
5;6;V;3,5
6;6;V;12,3
7;6;E;4,5
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;9;V;3,1
14;9;E;4,1
15;9;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2: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
6:V/3,5/5/0/4;V/12,3/6/0/5;E/4,5/7/0/4;E/4,12/8/0/5;E/4,3/9/4/5
7:V/3,11/6/0/5;V/2,3/10/0/6;E/4,11/8/0/5;E/4,2/11/0/6;E/4,3/12/5/6
9:V/3,1/13/0/2;V/10,3/5/0/4;E/4,1/14/0/2;E/4,10/7/0/4;E/4,3/15/2/4
11:V/3,1/16/0/2;V/6,3/17/0/5;E/4,1/18/0/2;E/4,6/19/0/5;E/4,3/20/2/5
14:V/3,5/17/0/5;V/2,3/21/0/6;E/4,5/19/0/5;E/4,2/22/0/6;E/4,3/23/5/6
15:V/3,1/16/0/2;V/12,3/17/0/5;E/4,1/18/0/2;E/4,12/19/0/5;E/4,3/20/2/5
16:V/3,11/17/0/5;V/2,3/21/0/6;E/4,11/19/0/5;E/4,2/22/0/6;E/4,3/23/5/6
20:V/3,11/5/0/4;V/6,3/6/0/5;E/4,11/7/0/4;E/4,6/8/0/5;E/4,3/9/4/5
23:V/3,5/6/0/5;V/2,3/10/0/6;E/4,5/8/0/5;E/4,2/11/0/6;E/4,3/12/5/6
24: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
29:V/3,1/24/0/2;V/7,3/25/0/12;E/4,1/26/0/2;E/4,7/27/0/12;E/4,3/28/2/12
32:V/3,8/25/0/12;V/2,3/29/0/28;E/4,8/27/0/12;E/4,2/30/0/28;E/4,3/31/12/28
33:V/3,1/32/0/2;V/12,3/33/0/15;E/4,1/34/0/2;E/4,12/35/0/15;E/4,3/36/2/15
34:V/3,11/33/0/15;V/2,3/37/0/28;E/4,11/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
38:V/3,1/40/0/2;V/6,3/41/0/15;E/4,1/42/0/2;E/4,6/43/0/15;E/4,3/44/2/15
40:V/2,3/37/0/28;E/4,2/38/0/28
41:V/3,5/41/0/15;V/2,3/45/0/28;E/4,5/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
42:V/3,1/40/0/2;V/12,3/41/0/15;E/4,1/42/0/2;E/4,12/43/0/15;E/4,3/44/2/15
43:V/3,11/41/0/15;V/2,3/45/0/28;E/4,11/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
44:V/3,8/25/0/12;V/2,3/29/0/28;E/4,8/27/0/12;E/4,2/30/0/28;E/4,3/31/12/28
47:V/3,1/32/0/2;V/6,3/33/0/15;E/4,1/34/0/2;E/4,6/35/0/15;E/4,3/36/2/15
50:V/3,5/33/0/15;V/2,3/37/0/28;E/4,5/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
51:V/3,1/24/0/2;V/9,3/25/0/12;E/4,1/26/0/2;E/4,9/27/0/12;E/4,3/28/2/12
52:V/3,8/25/0/12;V/2,3/29/0/28;E/4,8/27/0/12;E/4,2/30/0/28;E/4,3/31/12/28
59:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
61:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
67:V/2,3/54/0/20;E/4,2/56/0/20
68:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
70:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
71:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
77:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
79:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;10333269/25000000,42062169/100000000;8,41333076,9092745,41226326,56940000,32906699;8,42062169,9172590,41588342,57440000,2382936
0;L;1,2;42062169/100000000,8544883/20000000;8,42062169,9172590,41588342,57440000,2382936;10,4272441500,924451591,4191445562,5789041514,55057248483
1;C;0,6;529823/1562500;2,33,0,0,57,102;4,3390,0,0,5820,55200
2;L;0,1;10333269/25000000,42062169/100000000;4,4133,792,4135,5694,91239;4,4206,862,4165,5744,42659
2;L;1,2;42062169/100000000,8544883/20000000;4,4206,862,4165,5744,42659;10,4272441500,924451591,4191445562,5789041514,55057248483
3;C;0,6;529823/1562500;2,33,0,0,57,102;4,3390,0,0,5820,55200
4;L;2,3;8544883/20000000,1543899/4000000;10,4272441500,924451591,4191445562,5789041514,55057248483;8,38597475,2515802,31608203,57940000,43407587
4;L;3,4;1543899/4000000,17497091/50000000;8,38597475,2515802,31608203,57940000,43407587;10,3499418200,0,1636273922,5801334812,450336587228
4;L;4,5;17497091/50000000,529823/1562500;10,3499418200,0,1636273922,5801334812,450336587228;4,3390,0,0,5817,125022
4;C;5,6;529823/1562500;4,3390,0,0,5817,125022;4,3390,0,0,5820,55200
5;C;0,4;17497091/50000000;2,34,57,57,5,252;4,3499,5802,5802,447,2253974
6;C;0,5;529823/1562500;2,33,35,57,0,2126;2,33,35,59,0,1894
7;C;0,4;17497091/50000000;2,34,57,57,3,284;4,3499,5802,5802,447,2253974
8;C;0,5;529823/1562500;2,33,35,57,0,2126;2,33,35,59,0,1894
9;C;4,5;529823/1562500;4,3390,5802,5802,447,73974;2,33,59,35,0,1894
10;C;0,6;529823/1562500;2,33,35,53,0,2566;2,33,35,54,0,2459
11;C;0,6;529823/1562500;2,33,35,54,0,2459;2,33,35,54,0,2459
12;C;5,6;529823/1562500;2,33,35,59,0,1894;2,33,35,54,0,2459
13;C;0,2;10333269/25000000;2,41,57,57,26,350;2,41,58,58,26,120
14;C;0,2;10333269/25000000;2,41,57,57,25,452;2,41,58,58,26,120
15;L;2,3;8544883/20000000,1543899/4000000;2,42,58,58,26,320;2,38,58,58,18,224
15;L;3,4;1543899/4000000,17497091/50000000;2,38,58,58,18,224;4,3499,5802,5802,447,2253974
16;L;0,1;10333269/25000000,42062169/100000000;4,4133,910,5694,4909,1213702;4,4206,918,5744,4952,1239132
16;L;1,2;42062169/100000000,8544883/20000000;4,4206,918,5744,4952,1239132;4,4272,925,5790,4991,1240113
17;C;0,5;529823/1562500;2,33,0,57,21,2469;2,33,0,59,22,2151
18;L;0,1;10333269/25000000,42062169/100000000;4,4133,792,5694,4915,1296650;4,4206,862,5744,4955,1279370
18;L;1,2;42062169/100000000,8544883/20000000;4,4206,862,5744,4955,1279370;4,4272,925,5790,4991,1240113
19;C;0,5;529823/1562500;2,33,0,57,20,2551;2,33,0,59,22,2151
20;L;2,3;8544883/20000000,1543899/4000000;4,4272,5790,925,4991,1240113;2,38,58,3,45,177
20;L;3,4;1543899/4000000,17497091/50000000;2,38,58,3,45,177;2,34,59,0,38,431
20;C;4,5;529823/1562500;2,33,59,0,38,231;2,33,59,0,22,2151
21;C;0,6;529823/1562500;2,33,0,53,20,2991;2,33,0,54,21,2802
22;C;0,6;529823/1562500;2,33,0,54,19,2962;2,33,0,54,21,2802
23;C;5,6;529823/1562500;2,33,0,59,22,2151;2,33,0,54,21,2802
24;C;0,2;10333269/25000000;2,41,0,7,57,1653;2,41,0,7,58,1423
25;C;0,6;529823/1562500;2,33,0,0,57,102;4,3390,0,0,5820,55200
25;L;6,7;265099/781250,17080699/50000000;4,3393,0,0,5820,115200;4,3416,0,0,5844,15328
25;L;7,8;17080699/50000000,8684809/25000000;4,3416,0,0,5844,15328;8,34739236,0,0,58940000,0
25;L;8,9;8684809/25000000,552049/1562500;8,34739236,0,0,58940000,0;8,35331136,0,0,59440000,0
25;L;9,10;552049/1562500,8982009/25000000;8,35331136,0,0,59440000,0;8,35928036,0,0,59940000,0
25;L;10,11;8982009/25000000,2283121/6250000;8,35928036,0,0,59940000,0;8,36529936,0,0,60440000,0
25;L;11,12;2283121/6250000,7425437/20000000;8,36529936,0,0,60440000,0;8,37127185,0,0,60932081,10018878
26;C;0,2;10333269/25000000;2,41,0,6,57,1666;2,41,0,7,58,1423
27;C;0,6;529823/1562500;2,33,0,0,57,102;4,3390,0,0,5820,55200
27;L;6,7;265099/781250,17080699/50000000;4,3393,0,0,5820,115200;4,3416,0,0,5844,15328
27;L;7,8;17080699/50000000,8684809/25000000;4,3416,0,0,5844,15328;8,34739236,0,0,58940000,0
27;L;8,9;8684809/25000000,552049/1562500;8,34739236,0,0,58940000,0;8,35331136,0,0,59440000,0
27;L;9,10;552049/1562500,8982009/25000000;8,35331136,0,0,59440000,0;8,35928036,0,0,59940000,0
27;L;10,11;8982009/25000000,2283121/6250000;8,35928036,0,0,59940000,0;8,36529936,0,0,60440000,0
27;L;11,12;2283121/6250000,7425437/20000000;8,36529936,0,0,60440000,0;8,37127185,0,0,60932081,10018878
28;C;2,4;17497091/50000000;2,34,0,7,58,23;4,3499,0,520,5802,2383192
28;C;4,5;529823/1562500;4,3390,0,520,5802,203192;8,33908672,0,3786300,58169572,118983632
28;L;5,6;529823/1562500,265099/781250;8,33908672,0,3786300,58169572,118983632;10,3393267200,0,352656752,5819835756,761636627424
28;L;6,7;265099/781250,17080699/50000000;10,3393267200,0,352656752,5819835756,761636627424;8,34161398,0,1346238,58440000,43247356
28;L;7,8;17080699/50000000,8684809/25000000;8,34161398,0,1346238,58440000,43247356;8,34739236,0,0,58940000,0
28;L;8,9;8684809/25000000,552049/1562500;8,34739236,0,0,58940000,0;8,35331136,0,0,59440000,0
28;L;9,10;552049/1562500,8982009/25000000;8,35331136,0,0,59440000,0;8,35928036,0,0,59940000,0
28;L;10,11;8982009/25000000,2283121/6250000;8,35928036,0,0,59940000,0;8,36529936,0,0,60440000,0
28;L;11,12;2283121/6250000,7425437/20000000;8,36529936,0,0,60440000,0;8,37127185,0,0,60932081,10018878
29;C;0,28;3326599/12500000;2,26,0,0,44,1328;8,26612792,0,0,51587587,135034862
30;C;0,28;3326599/12500000;2,26,0,0,48,592;8,26612792,0,0,51587587,135034862
31;L;12,13;7425437/20000000,37112561/100000000;8,37127185,0,0,60932081,10018878;10,3711256100,0,0,6092007904,1395203053568
31;L;13,14;37112561/100000000,226219/625000;10,3711256100,0,0,6092007904,1395203053568;8,36195040,0,0,60162313,188980062
31;L;14,15;226219/625000,7103431/20000000;8,36195040,0,0,60162313,188980062;10,3551715500,0,0,5959627085,15468805550
31;L;15,16;7103431/20000000,17644501/50000000;10,3551715500,0,0,5959627085,15468805550;10,3528900200,0,0,5940454695,33304913950
31;L;16,17;17644501/50000000,687889/2000000;10,3528900200,0,0,5940454695,33304913950;8,34394450,0,0,58646781,156676078
31;L;17,18;687889/2000000,33511381/100000000;8,34394450,0,0,58646781,156676078;8,33511381,0,0,57889015,84659550
31;L;18,19;33511381/100000000,8159949/25000000;8,33511381,0,0,57889015,84659550;10,3263979600,0,0,5713124883,142492472622
31;L;19,20;8159949/25000000,32408711/100000000;10,3263979600,0,0,5713124883,142492472622;8,32408711,0,0,56928649,46069598
31;L;20,21;32408711/100000000,1986231/6250000;8,32408711,0,0,56928649,46069598;8,31779696,0,0,56373483,28897422
31;L;21,22;1986231/6250000,773277/2500000;8,31779696,0,0,56373483,28897422;8,30931080,0,0,55615717,45151822
31;L;22,23;773277/2500000,7523487/25000000;8,30931080,0,0,55615717,45151822;8,30093948,0,0,54857951,24163198
31;L;23,24;7523487/25000000,292683/1000000;8,30093948,0,0,54857951,24163198;10,2926830000,0,0,5410018467,373437939822
31;L;24,25;292683/1000000,28454137/100000000;10,2926830000,0,0,5410018467,373437939822;8,28454137,0,0,53342419,70456878
31;L;25,26;28454137/100000000,27651457/100000000;8,28454137,0,0,53342419,70456878;10,2765145700,0,0,5258465259,239780125838
31;L;26,27;27651457/100000000,13430131/50000000;10,2765145700,0,0,5258465259,239780125838;10,2686026200,0,0,5182688655,610668581950
31;L;27,28;13430131/50000000,3326599/12500000;10,2686026200,0,0,5182688655,610668581950;8,26612792,0,0,51587587,135034862
32;C;0,2;10333269/25000000;2,41,53,57,1,2140;2,41,54,58,1,1918
33;C;0,15;529823/1562500;2,33,26,57,0,2675;2,33,28,62,0,1972
34;C;0,2;10333269/25000000;2,41,57,54,0,2035;2,41,58,54,1,1918
35;C;0,15;529823/1562500;2,33,26,57,0,2675;2,33,28,62,0,1972
36;C;2,15;529823/1562500;2,33,58,54,1,318;2,33,62,28,0,1972
37;C;0,28;3326599/12500000;2,26,26,26,0,3848;2,26,31,31,0,3278
38;C;0,28;3326599/12500000;2,26,26,26,0,3848;2,26,31,31,0,3278
39;C;15,28;3326599/12500000;2,26,28,62,0,572;2,26,31,31,0,3278
40;C;0,2;10333269/25000000;2,41,0,57,32,2903;2,41,0,58,33,2658
41;C;0,15;529823/1562500;2,33,0,57,16,2839;2,33,0,62,17,2178
42;C;0,2;10333269/25000000;2,41,0,57,32,2903;2,41,0,58,33,2658
43;C;0,15;529823/1562500;2,33,0,57,11,3109;2,33,0,62,17,2178
44;C;2,15;529823/1562500;2,33,58,0,33,1058;2,33,62,0,17,2178
45;C;0,28;3326599/12500000;2,26,0,26,12,4236;2,26,0,31,14,3847
46;C;0,28;3326599/12500000;2,26,0,26,4,4492;2,26,0,31,14,3847
47;C;15,28;3326599/12500000;2,26,0,62,17,778;2,26,0,31,14,3847
48;C;0,2;10333269/25000000;2,41,0,0,49,3398;2,41,0,0,50,3200
49;C;0,20;32408711/100000000;2,32,0,0,36,3808;2,32,0,0,40,3200
50;C;0,2;10333269/25000000;2,41,0,0,50,3200;2,41,0,0,50,3200
51;C;0,20;32408711/100000000;2,32,0,0,37,3662;2,32,0,0,40,3200
52;C;2,20;32408711/100000000;2,32,0,0,50,1400;2,32,0,0,40,3200
53;C;0,2;10333269/25000000;2,41,21,55,0,4734;2,41,21,56,0,4623
54;C;0,20;32408711/100000000;2,32,21,21,0,5518;2,32,23,23,0,5342
55;C;0,2;10333269/25000000;2,41,21,55,0,4734;2,41,21,56,0,4623
56;C;0,20;32408711/100000000;2,32,21,21,0,5518;2,32,23,23,0,5342
57;C;2,20;32408711/100000000;2,32,21,56,0,2823;2,32,23,23,0,5342
58;C;0,2;10333269/25000000;2,41,0,55,12,4887;2,41,0,56,12,4776
59;C;0,20;32408711/100000000;2,32,0,21,10,5759;2,32,0,23,11,5629
60;C;0,2;10333269/25000000;2,41,0,55,11,4933;2,41,0,56,12,4776
61;C;0,20;32408711/100000000;2,32,0,21,4,5927;2,32,0,23,11,5629
62;C;2,20;32408711/100000000;2,32,0,56,12,2976;2,32,0,23,11,5629
MASS SLACK NUMERATOR 414911492968054489233096022818053318483109550285869096210121659285775006577667889

BIN 28: PQP; (43/40,11/10]; gamma0=5731/10000; mass ceiling=19160437/20000000.
GAMMA 0=5731/10000;1=5781/10000;2=154170000/264644053;3=5831/10000;4=1079190000/1842378143;5=5881/10000;6=719460000/1218966053;7=668070000/1129907183;8=5931/10000;9=5981/10000;10=6031/10000;11=6081/10000;12=1336140000/2191624583;13=6131/10000;14=6181/10000;15=1233360000/1986064583;16=6231/10000;17=6281/10000;18=6331/10000;19=6381/10000;20=38542500/60261437;21=6431/10000;22=6481/10000;23=6531/10000;24=6581/10000;25=6631/10000;26=6681/10000;27=6731/10000;28=925020000/1369384583;29=6781/10000;30=6831/10000;31=6881/10000;32=6931/10000;33=6981/10000;34=7031/10000;35=7081/10000;36=7131/10000;37=7181/10000;38=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,41082127,41802094;1,2,41802094,42449010;2,3,42449010,40768912;3,4,40768912,35635130;4,5,35635130,34586161;5,6,34586161,34836145;6,7,34836145,34958952;7,8,34958952,35176761;8,9,35176761,35772361;9,10,35772361,36372961;10,11,36372961,36978561;11,12,36978561,37168207;12,13,37168207,36490541;13,14,36490541,35517427;14,15,35517427,34957705;15,16,34957705,34557464;16,17,34557464,33610653;17,18,33610653,32676993;18,19,32676993,31756484;19,20,31756484,31485056;20,21,31485056,30849126;21,22,30849126,29954920;22,23,29954920,29073865;23,24,29073865,28205961;24,25,28205961,27351208;25,26,27351208,26509607;26,27,26509607,25681157;27,28,25681157,25288087;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;2465790233/770850000,1/3,2911084583/1541700000;-11544425745173
1;0,3,7;7/15,2,1;-2
3;0,3,7;17/15,2,1;-1
4;2,3,7;4/15,7/3,13/30;-22
5;2,3,8;11/15,1,13/30;-2
8;1,3,6;17/15,10/3,11/10;-17
10;10;1;-1
12;10;1;-1
13;2,3,10;7/5,1/3,13/30;-1
17;2,3,8;11/15,1,13/30;-2
18;1,4,13;2465790233/770850000,1/3,2911084583/1541700000;-11544425745173
19;0,3,13;17/15,2,1;-1
21;0,3,13;7/15,2,1;-2
22;2,3,8;11/15,1,13/30;-2
25;2,3,8;11/15,1,13/30;-2
26;1,3,12;17/15,10/3,11/10;-17
27;0,1,7;2/3,2,1;-1
28;0,3,7;7/15,2,1;-2
30;0,3,7;17/15,2,1;-1
31;2,3,7;19/15,7/3,3/5;-17
35;1,3,6;17/15,10/3,11/10;-17
36;1,4,10;1369384583/385425000,2,2911084583/1541700000;-1266425745173
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;17/15,2,1;-1
48;0,3,13;7/15,2,1;-2
49;2,3,13;19/15,7/3,3/5;-17
53;1,3,12;17/15,10/3,11/10;-17
54;0,1,7;5/3,2,1;-1
55;0,3,7;7/15,2,1;-2
56;1,4,7;368522927/96356250,5/3,2911084583/1541700000;-3835925745173
57;0,3,7;17/15,2,1;-1
58;2,3,7;34/15,17/6,17/20;-17
60;1,4,12;1024444429/192712500,1,2911084583/1541700000;-1266425745173
62;1,3,6;17/15,10/3,11/10;-17
63;1,4,6;1024444429/192712500,1,2911084583/1541700000;-1266425745173
64;10;1;-1
65;1,4,6;1024444429/192712500,1,2911084583/1541700000;-1266425745173
66;10;1;-1
69;1,4,12;1024444429/192712500,1,2911084583/1541700000;-1266425745173
72;0,1,13;5/3,2,1;-1
73;0,3,13;17/15,2,1;-1
74;1,4,6;1024444429/192712500,1,2911084583/1541700000;-1266425745173
75;0,3,13;7/15,2,1;-2
76;2,3,13;34/15,17/6,17/20;-17
78;1,4,9;368522927/96356250,5/3,2911084583/1541700000;-3835925745173
80;1,3,12;17/15,10/3,11/10;-17
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,2,3;250249322570,15845592600000000000000,6156058026810,200
6;5,4,12,3;1166154312335,48178125,3130583253855,5
7;11,4,2,3;3130583253855,64389970875069815625,6156058026810,15
9;1,4,10,3;250249322570,620734117416674118750,1166154312335,40
11;1,4,6,3;250249322570,1424510288395837059375,3130583253855,95
14;5,4,2,3;3130583253855,64389970875069815625,6156058026810,15
15;1,4,12,3;250249322570,1424510288395837059375,3130583253855,95
16;11,4,2,3;3130583253855,64389970875069815625,6156058026810,15
20;11,4,6,3;1166154312335,48178125,3130583253855,5
23;5,4,2,3;3130583253855,64389970875069815625,6156058026810,15
24;1,4,2,3;250249322570,15845592600000000000000,6156058026810,200
29;1,4,7,3;250249322570,2985173864333392950000,12017992722405,35
32;8,4,2,3;12017992722405,2088188746371607050000,7011284774135,20
33;1,4,12,3;250249322570,5453985082166696475000,4757319374135,15
34;11,4,2,3;4757319374135,385425000,7011284774135,5
38;1,4,6,3;250249322570,5453985082166696475000,4757319374135,15
41;5,4,2,3;4757319374135,385425000,7011284774135,5
42;1,4,12,3;250249322570,5453985082166696475000,4757319374135,15
43;11,4,2,3;4757319374135,385425000,7011284774135,5
44;8,4,2,3;12017992722405,2088188746371607050000,7011284774135,20
47;1,4,6,3;250249322570,5453985082166696475000,4757319374135,15
50;5,4,2,3;4757319374135,385425000,7011284774135,5
51;1,4,9,3;250249322570,2985173864333392950000,12017992722405,35
52;8,4,2,3;12017992722405,2088188746371607050000,7011284774135,20
59;1,4,2,3;250249322570,2971048612500000000000,801334091060,50
61;1,4,2,3;250249322570,2971048612500000000000,801334091060,50
68;1,4,2,3;250249322570,2971048612500000000000,801334091060,50
70;1,4,2,3;250249322570,2971048612500000000000,801334091060,50
71;1,4,2,3;250249322570,2971048612500000000000,801334091060,50
77;1,4,2,3;250249322570,2971048612500000000000,801334091060,50
79;1,4,2,3;250249322570,2971048612500000000000,801334091060,50
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;2,3
2;2;E;4,1
3;2;E;4,2
4;2;E;4,3
5;6;V;3,5
6;6;V;12,3
7;6;E;4,5
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;9;V;3,1
14;9;E;4,1
15;9;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/2;V/2,3/1/0/7;E/4,1/2/0/2;E/4,2/3/0/7;E/4,3/4/2/7
6:V/3,5/5/0/4;V/12,3/6/0/6;E/4,5/7/0/4;E/4,12/8/0/6;E/4,3/9/4/6
7:V/3,11/6/0/6;V/2,3/10/0/7;E/4,11/8/0/6;E/4,2/11/0/7;E/4,3/12/6/7
9:V/3,1/13/0/2;V/10,3/5/0/4;E/4,1/14/0/2;E/4,10/7/0/4;E/4,3/15/2/4
11:V/3,1/16/0/2;V/6,3/17/0/6;E/4,1/18/0/2;E/4,6/19/0/6;E/4,3/20/2/6
14:V/3,5/17/0/6;V/2,3/21/0/7;E/4,5/19/0/6;E/4,2/22/0/7;E/4,3/23/6/7
15:V/3,1/16/0/2;V/12,3/17/0/6;E/4,1/18/0/2;E/4,12/19/0/6;E/4,3/20/2/6
16:V/3,11/17/0/6;V/2,3/21/0/7;E/4,11/19/0/6;E/4,2/22/0/7;E/4,3/23/6/7
20:V/3,11/5/0/4;V/6,3/6/0/6;E/4,11/7/0/4;E/4,6/8/0/6;E/4,3/9/4/6
23:V/3,5/6/0/6;V/2,3/10/0/7;E/4,5/8/0/6;E/4,2/11/0/7;E/4,3/12/6/7
24:V/3,1/0/0/2;V/2,3/1/0/7;E/4,1/2/0/2;E/4,2/3/0/7;E/4,3/4/2/7
29:V/3,1/24/0/2;V/7,3/25/0/12;E/4,1/26/0/2;E/4,7/27/0/12;E/4,3/28/2/12
32:V/3,8/25/0/12;V/2,3/29/0/28;E/4,8/27/0/12;E/4,2/30/0/28;E/4,3/31/12/28
33:V/3,1/32/0/2;V/12,3/33/0/15;E/4,1/34/0/2;E/4,12/35/0/15;E/4,3/36/2/15
34:V/3,11/33/0/15;V/2,3/37/0/28;E/4,11/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
38:V/3,1/40/0/2;V/6,3/41/0/15;E/4,1/42/0/2;E/4,6/43/0/15;E/4,3/44/2/15
40:V/2,3/37/0/28;E/4,2/38/0/28
41:V/3,5/41/0/15;V/2,3/45/0/28;E/4,5/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
42:V/3,1/40/0/2;V/12,3/41/0/15;E/4,1/42/0/2;E/4,12/43/0/15;E/4,3/44/2/15
43:V/3,11/41/0/15;V/2,3/45/0/28;E/4,11/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
44:V/3,8/25/0/12;V/2,3/29/0/28;E/4,8/27/0/12;E/4,2/30/0/28;E/4,3/31/12/28
47:V/3,1/32/0/2;V/6,3/33/0/15;E/4,1/34/0/2;E/4,6/35/0/15;E/4,3/36/2/15
50:V/3,5/33/0/15;V/2,3/37/0/28;E/4,5/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
51:V/3,1/24/0/2;V/9,3/25/0/12;E/4,1/26/0/2;E/4,9/27/0/12;E/4,3/28/2/12
52:V/3,8/25/0/12;V/2,3/29/0/28;E/4,8/27/0/12;E/4,2/30/0/28;E/4,3/31/12/28
59:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
61:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
67:V/2,3/54/0/20;E/4,2/56/0/20
68:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
70:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
71:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
77:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
79:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;41082127/100000000,20901047/50000000;8,41082127,6888778,40001223,57310000,96170987;10,4180209400,694887879,4035021213,5781000000,646258889990
0;L;1,2;20901047/50000000,4244901/10000000;10,4180209400,694887879,4035021213,5781000000,646258889990;10,4244901000,700244168,4066123695,5825560721,774025455069
1;C;0,3;2548057/6250000;2,40,0,0,58,1272;2,40,0,0,59,1038
1;C;3,5;34586161/100000000;4,3458,0,0,5831,1158878;8,34586161,0,0,58810000,0
1;L;5,6;34586161/100000000,6967229/20000000;8,34586161,0,0,58810000,0;10,3483614500,0,0,5902215228,804729816032
1;L;6,7;6967229/20000000,4369869/12500000;10,3483614500,0,0,5902215228,804729816032;10,3495895200,0,0,5912609550,618497595000
2;L;0,1;41082127/100000000,20901047/50000000;4,4108,565,4013,5731,47884;4,4180,637,4041,5781,24628
2;L;1,2;20901047/50000000,4244901/10000000;4,4180,637,4041,5781,24628;10,4244901000,700244168,4066123695,5825560721,774025455069
3;C;0,3;2548057/6250000;2,40,0,0,58,1272;2,40,0,0,59,1038
3;C;3,5;34586161/100000000;4,3458,0,0,5831,1158878;8,34586161,0,0,58810000,0
3;L;5,6;34586161/100000000,6967229/20000000;8,34586161,0,0,58810000,0;10,3483614500,0,0,5902215228,804729816032
3;L;6,7;6967229/20000000,4369869/12500000;10,3483614500,0,0,5902215228,804729816032;10,3495895200,0,0,5912609550,618497595000
4;L;2,3;4244901/10000000,2548057/6250000;10,4244901000,700244168,4066123695,5825560721,774025455069;8,40768912,4471332,36519547,58310000,77060567
4;L;3,4;2548057/6250000,3563513/10000000;8,40768912,4471332,36519547,58310000,77060567;8,35635130,0,16271090,58575923,119608042
4;L;4,5;3563513/10000000,34586161/100000000;8,35635130,0,16271090,58575923,119608042;8,34586161,0,0,58810000,0
4;L;5,6;34586161/100000000,6967229/20000000;8,34586161,0,0,58810000,0;10,3483614500,0,0,5902215228,804729816032
4;L;6,7;6967229/20000000,4369869/12500000;10,3483614500,0,0,5902215228,804729816032;10,3495895200,0,0,5912609550,618497595000
5;C;0,4;3563513/10000000;2,35,58,58,5,222;4,3563,5858,5858,419,2276550
6;C;0,6;34586161/100000000;2,34,33,58,0,2347;2,34,34,60,0,2044
7;C;0,4;3563513/10000000;2,35,58,58,2,264;4,3563,5858,5858,419,2276550
8;C;0,6;34586161/100000000;2,34,33,58,0,2347;2,34,34,60,0,2044
9;C;4,6;34586161/100000000;4,3458,5858,5858,419,176550;2,34,60,34,0,2044
10;C;0,7;34586161/100000000;2,34,33,52,0,3007;2,34,34,54,0,2728
11;C;0,7;34586161/100000000;2,34,33,53,0,2902;2,34,34,54,0,2728
12;C;6,7;6967229/20000000;2,34,34,60,0,2044;2,34,34,54,0,2728
13;C;0,2;41082127/100000000;2,41,58,58,24,320;2,41,59,59,24,86
14;C;0,2;41082127/100000000;2,41,58,58,23,414;2,41,59,59,24,86
15;C;2,3;2548057/6250000;4,4076,5826,5826,2384,2268536;2,40,59,59,21,156
15;L;3,4;2548057/6250000,3563513/10000000;2,40,59,59,21,156;4,3563,5858,5858,419,2276550
16;C;0,1;41082127/100000000;4,4108,689,5731,4866,1485006;4,4108,695,5781,4909,60452
16;C;1,2;20901047/50000000;4,4180,695,5781,4909,1500452;4,4180,701,5826,4946,240491
17;C;0,6;34586161/100000000;2,34,0,58,21,2554;2,34,0,60,21,2318
18;C;0,1;41082127/100000000;4,4108,565,5731,4872,1523646;4,4108,637,5781,4911,98428
18;C;1,2;20901047/50000000;4,4180,637,5781,4911,1538428;4,4180,701,5826,4946,240491
19;C;0,6;34586161/100000000;2,34,0,58,19,2714;2,34,0,60,21,2318
20;L;2,3;4244901/10000000,2548057/6250000;4,4244,5826,701,4946,1520491;4,4076,5831,448,4742,2345607
20;L;3,4;2548057/6250000,3563513/10000000;4,4076,5831,448,4742,2345607;2,35,59,0,38,631
20;C;4,6;34586161/100000000;2,34,59,0,38,431;2,34,60,0,21,2318
21;C;0,7;34586161/100000000;2,34,0,52,20,3296;2,34,0,54,20,3084
22;C;0,7;34586161/100000000;2,34,0,53,18,3343;2,34,0,54,20,3084
23;C;6,7;6967229/20000000;2,34,0,60,21,2318;2,34,0,54,20,3084
24;C;0,2;41082127/100000000;2,41,0,5,58,1447;2,41,0,5,59,1213
25;C;0,3;2548057/6250000;2,40,0,0,58,1272;2,40,0,0,59,1038
25;C;3,4;3563513/10000000;2,35,0,0,59,38;2,35,0,0,59,38
25;C;4,5;34586161/100000000;4,3458,0,0,5858,527672;8,34586161,0,0,58810000,0
25;L;5,6;34586161/100000000,6967229/20000000;8,34586161,0,0,58810000,0;10,3483614500,0,0,5902215228,804729816032
25;L;6,7;6967229/20000000,4369869/12500000;10,3483614500,0,0,5902215228,804729816032;10,3495895200,0,0,5912609550,618497595000
25;L;7,8;4369869/12500000,35176761/100000000;10,3495895200,0,0,5912609550,618497595000;8,35176761,0,0,59310000,0
25;L;8,9;35176761/100000000,35772361/100000000;8,35176761,0,0,59310000,0;8,35772361,0,0,59810000,0
25;L;9,10;35772361/100000000,36372961/100000000;8,35772361,0,0,59810000,0;8,36372961,0,0,60310000,0
25;L;10,11;36372961/100000000,36978561/100000000;8,36372961,0,0,60310000,0;8,36978561,0,0,60810000,0
25;L;11,12;36978561/100000000,37168207/100000000;8,36978561,0,0,60810000,0;10,3716820700,0,0,6096573339,1044388782158
26;C;0,2;41082127/100000000;2,41,0,5,58,1447;2,41,0,5,59,1213
27;C;0,3;2548057/6250000;2,40,0,0,58,1272;2,40,0,0,59,1038
27;C;3,4;3563513/10000000;2,35,0,0,59,38;2,35,0,0,59,38
27;C;4,5;34586161/100000000;4,3458,0,0,5858,527672;8,34586161,0,0,58810000,0
27;L;5,6;34586161/100000000,6967229/20000000;8,34586161,0,0,58810000,0;10,3483614500,0,0,5902215228,804729816032
27;L;6,7;6967229/20000000,4369869/12500000;10,3483614500,0,0,5902215228,804729816032;10,3495895200,0,0,5912609550,618497595000
27;L;7,8;4369869/12500000,35176761/100000000;10,3495895200,0,0,5912609550,618497595000;8,35176761,0,0,59310000,0
27;L;8,9;35176761/100000000,35772361/100000000;8,35176761,0,0,59310000,0;8,35772361,0,0,59810000,0
27;L;9,10;35772361/100000000,36372961/100000000;8,35772361,0,0,59810000,0;8,36372961,0,0,60310000,0
27;L;10,11;36372961/100000000,36978561/100000000;8,36372961,0,0,60310000,0;8,36978561,0,0,60810000,0
27;L;11,12;36978561/100000000,37168207/100000000;8,36978561,0,0,60810000,0;10,3716820700,0,0,6096573339,1044388782158
28;C;2,4;3563513/10000000;2,35,0,5,59,13;2,35,0,2,59,34
28;C;4,5;34586161/100000000;4,3458,0,158,5858,502708;8,34586161,0,0,58810000,0
28;L;5,6;34586161/100000000,6967229/20000000;8,34586161,0,0,58810000,0;10,3483614500,0,0,5902215228,804729816032
28;L;6,7;6967229/20000000,4369869/12500000;10,3483614500,0,0,5902215228,804729816032;10,3495895200,0,0,5912609550,618497595000
28;L;7,8;4369869/12500000,35176761/100000000;10,3495895200,0,0,5912609550,618497595000;8,35176761,0,0,59310000,0
28;L;8,9;35176761/100000000,35772361/100000000;8,35176761,0,0,59310000,0;8,35772361,0,0,59810000,0
28;L;9,10;35772361/100000000,36372961/100000000;8,35772361,0,0,59810000,0;8,36372961,0,0,60310000,0
28;L;10,11;36372961/100000000,36978561/100000000;8,36372961,0,0,60310000,0;8,36978561,0,0,60810000,0
28;L;11,12;36978561/100000000,37168207/100000000;8,36978561,0,0,60810000,0;10,3716820700,0,0,6096573339,1044388782158
29;C;0,28;25288087/100000000;2,25,0,0,43,1302;10,2528808700,0,0,5028726105,1521783057950
30;C;0,28;25288087/100000000;2,25,0,0,46,768;10,2528808700,0,0,5028726105,1521783057950
31;L;12,13;37168207/100000000,36490541/100000000;10,3716820700,0,0,6096573339,1044388782158;8,36490541,0,0,60407401,8850398
31;L;13,14;36490541/100000000,35517427/100000000;8,36490541,0,0,60407401,8850398;8,35517427,0,0,59596499,13885998
31;L;14,15;35517427/100000000,6991541/20000000;8,35517427,0,0,59596499,13885998;10,3495770500,0,0,5912504106,393066281528
31;L;15,16;6991541/20000000,4319683/12500000;10,3495770500,0,0,5912504106,393066281528;10,3455746400,0,0,5878559685,59785401550
31;L;16,17;4319683/12500000,33610653/100000000;10,3455746400,0,0,5878559685,59785401550;10,3361065300,0,0,5797469502,746759743992
31;L;17,18;33610653/100000000,32676993/100000000;10,3361065300,0,0,5797469502,746759743992;10,3267699300,0,0,5716379319,962618192478
31;L;18,19;32676993/100000000,7939121/25000000;10,3267699300,0,0,5716379319,962618192478;10,3175648400,0,0,5635289135,729901903550
31;L;19,20;7939121/25000000,245977/781250;10,3175648400,0,0,5635289135,729901903550;8,31485056,0,0,56111546,10979768
31;L;20,21;245977/781250,15424563/50000000;8,31485056,0,0,56111546,10979768;10,3084912600,0,0,5554198952,3204203392
31;L;21,22;15424563/50000000,748873/2500000;10,3084912600,0,0,5554198952,3204203392;8,29954920,0,0,54731088,12672512
31;L;22,23;748873/2500000,5814773/20000000;8,29954920,0,0,54731088,12672512;8,29073865,0,0,53920186,83450808
31;L;23,24;5814773/20000000,28205961/100000000;8,29073865,0,0,53920186,83450808;10,2820596100,0,0,5310928402,1017659452792
31;L;24,25;28205961/100000000,3418901/12500000;10,2820596100,0,0,5310928402,1017659452792;10,2735120800,0,0,5229838218,427093168952
31;L;25,26;3418901/12500000,26509607/100000000;10,2735120800,0,0,5229838218,427093168952;8,26509607,0,0,51487481,549278
31;L;26,27;26509607/100000000,25681157/100000000;8,26509607,0,0,51487481,549278;8,25681157,0,0,50676579,81713518
31;L;27,28;25681157/100000000,25288087/100000000;8,25681157,0,0,50676579,81713518;10,2528808700,0,0,5028726105,1521783057950
32;C;0,2;41082127/100000000;2,41,52,58,1,2130;2,41,53,59,1,1908
33;C;0,15;34586161/100000000;2,34,25,58,0,2811;2,34,27,63,0,2102
34;C;0,2;41082127/100000000;2,41,58,53,0,2027;2,41,59,53,1,1908
35;C;0,15;34586161/100000000;2,34,25,58,0,2811;2,34,27,63,0,2102
36;C;2,15;34586161/100000000;2,34,59,53,1,508;2,34,63,27,0,2102
37;C;0,28;25288087/100000000;2,25,25,25,0,3750;2,25,29,29,0,3318
38;C;0,28;25288087/100000000;2,25,25,25,0,3750;2,25,29,29,0,3318
39;C;15,28;25288087/100000000;2,25,27,63,0,302;2,25,29,29,0,3318
40;C;0,2;41082127/100000000;2,41,0,58,31,2914;2,41,0,59,32,2671
41;C;0,15;34586161/100000000;2,34,0,58,15,2986;2,34,0,63,16,2319
42;C;0,2;41082127/100000000;2,41,0,58,31,2914;2,41,0,59,32,2671
43;C;0,15;34586161/100000000;2,34,0,58,11,3194;2,34,0,63,16,2319
44;C;2,15;34586161/100000000;2,34,59,0,32,1271;2,34,63,0,16,2319
45;C;0,28;25288087/100000000;2,25,0,25,12,4087;2,25,0,29,14,3767
46;C;0,28;25288087/100000000;2,25,0,25,4,4343;2,25,0,29,14,3767
47;C;15,28;25288087/100000000;2,25,0,63,16,519;2,25,0,29,14,3767
48;C;0,2;41082127/100000000;2,41,0,0,49,3398;2,41,0,0,49,3398
49;C;0,20;245977/781250;2,31,0,0,35,3750;2,31,0,0,39,3158
50;C;0,2;41082127/100000000;2,41,0,0,49,3398;2,41,0,0,49,3398
51;C;0,20;245977/781250;2,31,0,0,37,3462;2,31,0,0,39,3158
52;C;2,20;245977/781250;2,31,0,0,49,1398;2,31,0,0,39,3158
53;C;0,2;41082127/100000000;2,41,20,54,0,4884;2,41,20,55,0,4775
54;C;0,20;245977/781250;2,31,20,20,0,5400;2,31,22,22,0,5232
55;C;0,2;41082127/100000000;2,41,20,55,0,4775;2,41,20,55,0,4775
56;C;0,20;245977/781250;2,31,20,20,0,5400;2,31,22,22,0,5232
57;C;2,20;245977/781250;2,31,20,55,0,2775;2,31,22,22,0,5232
58;C;0,2;41082127/100000000;2,41,0,54,12,4996;2,41,0,55,12,4887
59;C;0,20;245977/781250;2,31,0,20,10,5600;2,31,0,22,11,5474
60;C;0,2;41082127/100000000;2,41,0,55,11,4933;2,41,0,55,12,4887
61;C;0,20;245977/781250;2,31,0,20,4,5768;2,31,0,22,11,5474
62;C;2,20;245977/781250;2,31,0,55,12,2887;2,31,0,22,11,5474
MASS SLACK NUMERATOR 779871214263267094449884614720627524979050591684159718696677609266328474191

BIN 29: PQP; (11/10,9/8]; gamma0=5767/10000; mass ceiling=97018069/100000000.
GAMMA 0=5767/10000;1=5817/10000;2=12140887500/20715092081;3=5867/10000;4=16187850000/27403412137;5=5917/10000;6=5967/10000;7=10791900000/18052230787;8=4946287500/8246850281;9=6017/10000;10=6067/10000;11=9892575000/16218467081;12=6117/10000;13=6167/10000;14=6217/10000;15=8993250000/14419817081;16=6267/10000;17=6317/10000;18=6367/10000;19=6417/10000;20=4721456250/7339861003;21=6467/10000;22=6517/10000;23=6567/10000;24=6617/10000;25=6667/10000;26=6717/10000;27=6767/10000;28=6744937500/9923192081;29=6817/10000;30=6867/10000;31=6917/10000;32=6967/10000;33=7017/10000;34=7067/10000;35=7117/10000;36=7167/10000;37=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40876116,41587982;1,2,41587982,42217922;2,3,42217922,41063230;3,4,41063230,36206086;4,5,36206086,35650489;5,6,35650489,35605089;6,7,35605089,35738315;7,8,35738315,35973484;8,9,35973484,36204289;9,10,36204289,36808489;10,11,36808489,37204811;11,12,37204811,36838319;12,13,36838319,35796785;13,14,35796785,34770187;14,15,34770187,34369210;15,16,34369210,33758525;16,17,33758525,32761798;17,18,32761798,31780007;18,19,31780007,30813152;19,20,30813152,30514100;20,21,30514100,29861232;21,22,29861232,28924247;22,23,28924247,28002198;23,24,28002198,27095085;24,25,27095085,26202908;25,26,26202908,25325665;26,27,25325665,24463359;27,28,24463359,23950692;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;17598031631/5395950000,1/3,20715092081/10791900000;-83490936031127
1;0,3,7;5/12,2,1;-2
3;0,3,7;13/12,2,1;-1
4;2,3,7;5/12,7/3,11/24;-17
5;2,3,8;5/6,1,11/24;-1
8;1,3,6;13/12,10/3,9/8;-13
10;10;1;-1
12;10;1;-1
13;2,3,10;3/2,1/3,11/24;-1
17;2,3,8;5/6,1,11/24;-1
18;1,4,13;17598031631/5395950000,1/3,20715092081/10791900000;-83490936031127
19;0,3,13;13/12,2,1;-1
21;0,3,13;5/12,2,1;-2
22;2,3,8;5/6,1,11/24;-1
25;2,3,8;5/6,1,11/24;-1
26;1,3,12;13/12,10/3,9/8;-13
27;0,1,7;2/3,2,1;-1
28;0,3,7;5/12,2,1;-2
30;0,3,7;13/12,2,1;-1
31;2,3,7;17/12,7/3,5/8;-13
35;1,3,6;13/12,10/3,9/8;-13
36;1,4,10;9923192081/2697975000,2,20715092081/10791900000;-11544936031127
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;13/12,2,1;-1
48;0,3,13;5/12,2,1;-2
49;2,3,13;17/12,7/3,5/8;-13
53;1,3,12;13/12,10/3,9/8;-13
54;0,1,7;5/3,2,1;-1
55;0,3,7;5/12,2,1;-2
56;1,4,7;2664035489/674493750,5/3,20715092081/10791900000;-29531436031127
57;0,3,7;13/12,2,1;-1
58;2,3,7;29/12,17/6,7/8;-13
60;1,4,12;7339861003/1348987500,1,20715092081/10791900000;-11544936031127
62;1,3,6;13/12,10/3,9/8;-13
63;1,4,6;7339861003/1348987500,1,20715092081/10791900000;-11544936031127
64;10;1;-1
65;1,4,6;7339861003/1348987500,1,20715092081/10791900000;-11544936031127
66;10;1;-1
69;1,4,12;7339861003/1348987500,1,20715092081/10791900000;-11544936031127
72;0,1,13;5/3,2,1;-1
73;0,3,13;13/12,2,1;-1
74;1,4,6;7339861003/1348987500,1,20715092081/10791900000;-11544936031127
75;0,3,13;5/12,2,1;-2
76;2,3,13;29/12,17/6,7/8;-13
78;1,4,9;2664035489/674493750,5/3,20715092081/10791900000;-29531436031127
80;1,3,12;13/12,10/3,9/8;-13
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,2,3;15559511750984,776434037400000000000000,45678946307352,128
6;5,4,12,3;3843022205921,337246875,346525913761,2
7;11,4,2,3;346525913761,355230888689120259375,45678946307352,2
9;1,4,10,3;15559511750984,28608358305980033043750,3843022205921,4
11;1,4,6,3;15559511750984,6263381582516137865625,346525913761,10
14;5,4,2,3;346525913761,355230888689120259375,45678946307352,2
15;1,4,12,3;15559511750984,6263381582516137865625,346525913761,10
16;11,4,2,3;346525913761,355230888689120259375,45678946307352,2
20;11,4,6,3;3843022205921,337246875,346525913761,2
23;5,4,2,3;346525913761,355230888689120259375,45678946307352,2
24;1,4,2,3;15559511750984,776434037400000000000000,45678946307352,128
29;1,4,7,3;15559511750984,131812611772840264350000,16181551031619,20
32;8,4,2,3;16181551031619,114685784250724735650000,81778610150984,28
33;1,4,12,3;15559511750984,260014815236420132175000,20320244681619,14
34;11,4,2,3;20320244681619,2697975000,81778610150984,2
38;1,4,6,3;15559511750984,260014815236420132175000,20320244681619,14
41;5,4,2,3;20320244681619,2697975000,81778610150984,2
42;1,4,12,3;15559511750984,260014815236420132175000,20320244681619,14
43;11,4,2,3;20320244681619,2697975000,81778610150984,2
44;8,4,2,3;16181551031619,114685784250724735650000,81778610150984,28
47;1,4,6,3;15559511750984,260014815236420132175000,20320244681619,14
50;5,4,2,3;20320244681619,2697975000,81778610150984,2
51;1,4,9,3;15559511750984,131812611772840264350000,16181551031619,20
52;8,4,2,3;16181551031619,114685784250724735650000,81778610150984,28
59;1,4,2,3;15559511750984,145581382012500000000000,39084672765592,16
61;1,4,2,3;15559511750984,145581382012500000000000,39084672765592,16
68;1,4,2,3;15559511750984,145581382012500000000000,39084672765592,16
70;1,4,2,3;15559511750984,145581382012500000000000,39084672765592,16
71;1,4,2,3;15559511750984,145581382012500000000000,39084672765592,16
77;1,4,2,3;15559511750984,145581382012500000000000,39084672765592,16
79;1,4,2,3;15559511750984,145581382012500000000000,39084672765592,16
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;2,3
2;2;E;4,1
3;2;E;4,2
4;2;E;4,3
5;6;V;3,5
6;6;V;12,3
7;6;E;4,5
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;9;V;3,1
14;9;E;4,1
15;9;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/2;V/2,3/1/0/8;E/4,1/2/0/2;E/4,2/3/0/8;E/4,3/4/2/8
6:V/3,5/5/0/4;V/12,3/6/0/7;E/4,5/7/0/4;E/4,12/8/0/7;E/4,3/9/4/7
7:V/3,11/6/0/7;V/2,3/10/0/8;E/4,11/8/0/7;E/4,2/11/0/8;E/4,3/12/7/8
9:V/3,1/13/0/2;V/10,3/5/0/4;E/4,1/14/0/2;E/4,10/7/0/4;E/4,3/15/2/4
11:V/3,1/16/0/2;V/6,3/17/0/7;E/4,1/18/0/2;E/4,6/19/0/7;E/4,3/20/2/7
14:V/3,5/17/0/7;V/2,3/21/0/8;E/4,5/19/0/7;E/4,2/22/0/8;E/4,3/23/7/8
15:V/3,1/16/0/2;V/12,3/17/0/7;E/4,1/18/0/2;E/4,12/19/0/7;E/4,3/20/2/7
16:V/3,11/17/0/7;V/2,3/21/0/8;E/4,11/19/0/7;E/4,2/22/0/8;E/4,3/23/7/8
20:V/3,11/5/0/4;V/6,3/6/0/7;E/4,11/7/0/4;E/4,6/8/0/7;E/4,3/9/4/7
23:V/3,5/6/0/7;V/2,3/10/0/8;E/4,5/8/0/7;E/4,2/11/0/8;E/4,3/12/7/8
24:V/3,1/0/0/2;V/2,3/1/0/8;E/4,1/2/0/2;E/4,2/3/0/8;E/4,3/4/2/8
29:V/3,1/24/0/2;V/7,3/25/0/11;E/4,1/26/0/2;E/4,7/27/0/11;E/4,3/28/2/11
32:V/3,8/25/0/11;V/2,3/29/0/28;E/4,8/27/0/11;E/4,2/30/0/28;E/4,3/31/11/28
33:V/3,1/32/0/2;V/12,3/33/0/15;E/4,1/34/0/2;E/4,12/35/0/15;E/4,3/36/2/15
34:V/3,11/33/0/15;V/2,3/37/0/28;E/4,11/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
38:V/3,1/40/0/2;V/6,3/41/0/15;E/4,1/42/0/2;E/4,6/43/0/15;E/4,3/44/2/15
40:V/2,3/37/0/28;E/4,2/38/0/28
41:V/3,5/41/0/15;V/2,3/45/0/28;E/4,5/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
42:V/3,1/40/0/2;V/12,3/41/0/15;E/4,1/42/0/2;E/4,12/43/0/15;E/4,3/44/2/15
43:V/3,11/41/0/15;V/2,3/45/0/28;E/4,11/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
44:V/3,8/25/0/11;V/2,3/29/0/28;E/4,8/27/0/11;E/4,2/30/0/28;E/4,3/31/11/28
47:V/3,1/32/0/2;V/6,3/33/0/15;E/4,1/34/0/2;E/4,6/35/0/15;E/4,3/36/2/15
50:V/3,5/33/0/15;V/2,3/37/0/28;E/4,5/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
51:V/3,1/24/0/2;V/9,3/25/0/11;E/4,1/26/0/2;E/4,9/27/0/11;E/4,3/28/2/11
52:V/3,8/25/0/11;V/2,3/29/0/28;E/4,8/27/0/11;E/4,2/30/0/28;E/4,3/31/11/28
59:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
61:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
67:V/2,3/54/0/20;E/4,2/56/0/20
68:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
70:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
71:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
77:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
79:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;10219029/25000000,20793991/50000000;8,40876116,4841433,38731457,57670000,165163662;8,41587982,4883408,39067260,58170000,122397936
0;L;1,2;20793991/50000000,21108961/50000000;8,41587982,4883408,39067260,58170000,122397936;8,42217922,4920254,39362027,58608900,12606755
1;C;0,4;18103043/50000000;2,36,0,0,58,472;2,36,0,0,60,0
1;C;4,6;35605089/100000000;4,3560,0,0,5908,1391072;8,35605089,0,0,59670000,0
1;L;6,7;35605089/100000000,7147663/20000000;8,35605089,0,0,59670000,0;10,3573831500,0,0,5978153131,284629793678
1;L;7,8;7147663/20000000,8993371/25000000;10,3573831500,0,0,5978153131,284629793678;8,35973484,0,0,59977899,63091598
2;L;0,1;10219029/25000000,20793991/50000000;6,408761,35433,388613,576700,80658742;6,415879,42766,391280,581700,79250844
2;L;1,2;20793991/50000000,21108961/50000000;6,415879,42766,391280,581700,79250844;8,42217922,4920254,39362027,58608900,12606755
3;C;0,4;18103043/50000000;2,36,0,0,58,472;2,36,0,0,60,0
3;C;4,6;35605089/100000000;4,3560,0,0,5908,1391072;8,35605089,0,0,59670000,0
3;L;6,7;35605089/100000000,7147663/20000000;8,35605089,0,0,59670000,0;10,3573831500,0,0,5978153131,284629793678
3;L;7,8;7147663/20000000,8993371/25000000;10,3573831500,0,0,5978153131,284629793678;8,35973484,0,0,59977899,63091598
4;L;2,3;21108961/50000000,4106323/10000000;8,42217922,4920254,39362027,58608900,12606755;8,41063230,3175631,36307347,58670000,121573430
4;L;3,4;4106323/10000000,18103043/50000000;8,41063230,3175631,36307347,58670000,121573430;10,3620608600,0,1619021011,5907238821,1989281597797
4;L;4,5;18103043/50000000,35650489/100000000;10,3620608600,0,1619021011,5907238821,1989281597797;10,3565048900,0,1131017211,5917000000,68421781479
4;L;5,6;35650489/100000000,35605089/100000000;10,3565048900,0,1131017211,5917000000,68421781479;8,35605089,0,0,59670000,0
4;L;6,7;35605089/100000000,7147663/20000000;8,35605089,0,0,59670000,0;10,3573831500,0,0,5978153131,284629793678
4;L;7,8;7147663/20000000,8993371/25000000;10,3573831500,0,0,5978153131,284629793678;8,35973484,0,0,59977899,63091598
5;C;0,4;18103043/50000000;2,36,58,58,4,440;4,3620,5908,5908,394,2280600
6;C;0,7;35605089/100000000;2,35,31,58,0,2675;2,35,32,60,0,2376
7;C;0,4;18103043/50000000;2,36,58,58,2,464;4,3620,5908,5908,394,2280600
8;C;0,7;35605089/100000000;2,35,31,58,0,2675;2,35,32,60,0,2376
9;C;4,7;35605089/100000000;4,3560,5908,5908,394,1080600;2,35,60,32,0,2376
10;C;0,8;35605089/100000000;2,35,31,51,0,3438;2,35,32,53,0,3167
11;C;0,8;35605089/100000000;2,35,31,52,0,3335;2,35,32,53,0,3167
12;C;7,8;7147663/20000000;2,35,32,60,0,2376;2,35,32,53,0,3167
13;C;0,2;10219029/25000000;2,40,58,58,22,304;4,4087,5861,5861,2215,3224908
14;C;0,2;10219029/25000000;2,40,58,58,22,304;4,4087,5861,5861,2215,3224908
15;C;2,3;4106323/10000000;2,41,59,59,23,180;2,41,59,59,20,438
15;L;3,4;4106323/10000000,18103043/50000000;2,41,59,59,20,438;4,3620,5908,5908,394,2280600
16;C;0,1;10219029/25000000;4,4087,485,5767,4821,1762404;4,4087,489,5817,4862,385302
16;C;1,2;20793991/50000000;4,4158,489,5817,4862,1805302;4,4158,493,5861,4899,565228
17;C;0,7;35605089/100000000;2,35,0,58,20,2836;2,35,0,60,21,2518
18;C;0,1;10219029/25000000;4,4087,355,5767,4827,1755828;4,4087,428,5817,4865,382877
18;C;1,2;20793991/50000000;4,4158,428,5817,4865,1802877;4,4158,493,5861,4899,565228
19;C;0,7;35605089/100000000;2,35,0,58,18,2988;2,35,0,60,21,2518
20;L;2,3;21108961/50000000,4106323/10000000;2,42,59,5,49,92;2,41,59,4,48,95
20;L;3,4;4106323/10000000,18103043/50000000;2,41,59,4,48,95;2,36,60,0,38,712
20;C;4,7;35605089/100000000;2,35,60,0,38,512;2,35,60,0,21,2518
21;C;0,8;35605089/100000000;2,35,0,51,19,3677;2,35,0,53,20,3391
22;C;0,8;35605089/100000000;2,35,0,52,17,3718;2,35,0,53,20,3391
23;C;7,8;7147663/20000000;2,35,0,60,21,2518;2,35,0,53,20,3391
24;C;0,2;10219029/25000000;2,40,0,3,58,1263;2,40,0,3,59,1029
25;C;0,5;35650489/100000000;2,35,0,0,58,272;4,3565,0,0,5917,1278222
25;C;5,6;35605089/100000000;4,3560,0,0,5917,1178222;8,35605089,0,0,59670000,0
25;L;6,7;35605089/100000000,7147663/20000000;8,35605089,0,0,59670000,0;10,3573831500,0,0,5978153131,284629793678
25;L;7,8;7147663/20000000,8993371/25000000;10,3573831500,0,0,5978153131,284629793678;8,35973484,0,0,59977899,63091598
25;L;8,9;8993371/25000000,36204289/100000000;8,35973484,0,0,59977899,63091598;8,36204289,0,0,60170000,0
25;L;9,10;36204289/100000000,36808489/100000000;8,36204289,0,0,60170000,0;8,36808489,0,0,60670000,0
25;L;10,11;36808489/100000000,37204811/100000000;8,36808489,0,0,60670000,0;10,3720481100,0,0,6099574609,1178484994238
26;C;0,2;10219029/25000000;2,40,0,3,58,1263;2,40,0,3,59,1029
27;C;0,5;35650489/100000000;2,35,0,0,58,272;4,3565,0,0,5917,1278222
27;C;5,6;35605089/100000000;4,3560,0,0,5917,1178222;8,35605089,0,0,59670000,0
27;L;6,7;35605089/100000000,7147663/20000000;8,35605089,0,0,59670000,0;10,3573831500,0,0,5978153131,284629793678
27;L;7,8;7147663/20000000,8993371/25000000;10,3573831500,0,0,5978153131,284629793678;8,35973484,0,0,59977899,63091598
27;L;8,9;8993371/25000000,36204289/100000000;8,35973484,0,0,59977899,63091598;8,36204289,0,0,60170000,0
27;L;9,10;36204289/100000000,36808489/100000000;8,36204289,0,0,60170000,0;8,36808489,0,0,60670000,0
27;L;10,11;36808489/100000000,37204811/100000000;8,36808489,0,0,60670000,0;10,3720481100,0,0,6099574609,1178484994238
28;C;2,6;35605089/100000000;2,35,0,3,59,29;8,35605089,0,0,59670000,0
28;L;6,7;35605089/100000000,7147663/20000000;8,35605089,0,0,59670000,0;10,3573831500,0,0,5978153131,284629793678
28;L;7,8;7147663/20000000,8993371/25000000;10,3573831500,0,0,5978153131,284629793678;8,35973484,0,0,59977899,63091598
28;L;8,9;8993371/25000000,36204289/100000000;8,35973484,0,0,59977899,63091598;8,36204289,0,0,60170000,0
28;L;9,10;36204289/100000000,36808489/100000000;8,36204289,0,0,60170000,0;8,36808489,0,0,60670000,0
28;L;10,11;36808489/100000000,37204811/100000000;8,36808489,0,0,60670000,0;10,3720481100,0,0,6099574609,1178484994238
29;C;0,28;5987673/25000000;2,23,0,0,42,1072;8,23950692,0,0,48939444,41941728
30;C;0,28;5987673/25000000;2,23,0,0,45,550;8,23950692,0,0,48939444,41941728
31;L;11,12;37204811/100000000,36838319/100000000;10,3720481100,0,0,6099574609,1178484994238;10,3683831900,0,0,6069457821,1518203863918
31;L;12,13;36838319/100000000,7159357/20000000;10,3683831900,0,0,6069457821,1518203863918;10,3579678500,0,0,5983041429,517739275918
31;L;13,14;7159357/20000000,34770187/100000000;10,3579678500,0,0,5983041429,517739275918;10,3477018700,0,0,5896625038,322462997112
31;L;14,15;34770187/100000000,3436921/10000000;10,3477018700,0,0,5896625038,322462997112;8,34369210,0,0,58625259,14365838
31;L;15,16;3436921/10000000,1350341/4000000;8,34369210,0,0,58625259,14365838;10,3375852500,0,0,5810208647,956652858782
31;L;16,17;1350341/4000000,16380899/50000000;10,3375852500,0,0,5810208647,956652858782;10,3276179800,0,0,5723792256,420308860928
31;L;17,18;16380899/50000000,31780007/100000000;10,3276179800,0,0,5723792256,420308860928;10,3178000700,0,0,5637375865,713431003550
31;L;18,19;31780007/100000000,962911/3125000;10,3178000700,0,0,5637375865,713431003550;8,30813152,0,0,55509595,125871950
31;L;19,20;962911/3125000,305141/1000000;8,30813152,0,0,55509595,125871950;10,3051410000,0,0,5523956914,24543193208
31;L;20,21;305141/1000000,1866327/6250000;10,3051410000,0,0,5523956914,24543193208;8,29861232,0,0,54645431,141648478
31;L;21,22;1866327/6250000,28924247/100000000;8,29861232,0,0,54645431,141648478;8,28924247,0,0,53781267,39749422
31;L;22,23;28924247/100000000,14001099/50000000;8,28924247,0,0,53781267,39749422;8,28002198,0,0,52917103,20174782
31;L;23,24;14001099/50000000,5419017/20000000;8,28002198,0,0,52917103,20174782;10,2709508500,0,0,5205293908,662676175072
31;L;24,25;5419017/20000000,6550727/25000000;10,2709508500,0,0,5205293908,662676175072;8,26202908,0,0,51188776,23243648
31;L;25,26;6550727/25000000,5065133/20000000;8,26202908,0,0,51188776,23243648;10,2532566500,0,0,5032461126,30597624248
31;L;26,27;5065133/20000000,24463359/100000000;10,2532566500,0,0,5032461126,30597624248;10,2446335900,0,0,4946044735,958757559550
31;L;27,28;24463359/100000000,5987673/25000000;10,2446335900,0,0,4946044735,958757559550;8,23950692,0,0,48939444,41941728
32;C;0,2;10219029/25000000;2,40,50,58,0,2136;2,40,51,59,0,1918
33;C;0,15;3436921/10000000;2,34,24,58,0,2860;2,34,25,63,0,2206
34;C;0,2;10219029/25000000;2,40,58,51,0,2035;2,40,59,51,0,1918
35;C;0,15;3436921/10000000;2,34,24,58,0,2860;2,34,25,63,0,2206
36;C;2,15;3436921/10000000;2,34,59,51,0,718;2,34,63,25,0,2206
37;C;0,28;5987673/25000000;2,23,24,24,0,3448;2,23,28,28,0,3032
38;C;0,28;5987673/25000000;2,23,24,24,0,3448;2,23,28,28,0,3032
39;C;15,28;5987673/25000000;2,23,25,63,0,6;2,23,28,28,0,3032
40;C;0,2;10219029/25000000;2,40,0,58,31,2714;2,40,0,59,31,2597
41;C;0,15;3436921/10000000;2,34,0,58,15,2986;2,34,0,63,16,2319
42;C;0,2;10219029/25000000;2,40,0,58,30,2836;2,40,0,59,31,2597
43;C;0,15;3436921/10000000;2,34,0,58,11,3194;2,34,0,63,16,2319
44;C;2,15;3436921/10000000;2,34,59,0,31,1397;2,34,63,0,16,2319
45;C;0,28;5987673/25000000;2,23,0,24,12,3736;2,23,0,28,14,3424
46;C;0,28;5987673/25000000;2,23,0,24,4,3992;2,23,0,28,14,3424
47;C;15,28;5987673/25000000;2,23,0,63,16,119;2,23,0,28,14,3424
48;C;0,2;10219029/25000000;2,40,0,0,48,3392;2,40,0,0,49,3198
49;C;0,20;305141/1000000;2,30,0,0,34,3688;2,30,0,0,38,3112
50;C;0,2;10219029/25000000;2,40,0,0,48,3392;2,40,0,0,49,3198
51;C;0,20;305141/1000000;2,30,0,0,36,3408;2,30,0,0,38,3112
52;C;2,20;305141/1000000;2,30,0,0,49,1198;2,30,0,0,38,3112
53;C;0,2;10219029/25000000;2,40,19,54,0,4723;2,40,19,55,0,4614
54;C;0,20;305141/1000000;2,30,19,19,0,5278;2,30,21,21,0,5118
55;C;0,2;10219029/25000000;2,40,19,54,0,4723;2,40,19,55,0,4614
56;C;0,20;305141/1000000;2,30,19,19,0,5278;2,30,21,21,0,5118
57;C;2,20;305141/1000000;2,30,19,55,0,2614;2,30,21,21,0,5118
58;C;0,2;10219029/25000000;2,40,0,54,12,4796;2,40,0,55,12,4687
59;C;0,20;305141/1000000;2,30,0,19,10,5439;2,30,0,21,11,5317
60;C;0,2;10219029/25000000;2,40,0,54,11,4842;2,40,0,55,12,4687
61;C;0,20;305141/1000000;2,30,0,19,4,5607;2,30,0,21,11,5317
62;C;2,20;305141/1000000;2,30,0,55,12,2687;2,30,0,21,11,5317
MASS SLACK NUMERATOR 258307423183138624665731217606225149666242401670918983967609294876116319255987161

BIN 30: PQP; (9/8,23/20]; gamma0=5803/10000; mass ceiling=98134341/100000000.
GAMMA 0=5803/10000;1=5853/10000;2=12410685000/21052592081;3=5903/10000;4=539595000/906672821;5=5953/10000;6=6003/10000;7=44966250/74370847;8=6053/10000;9=5216085000/8584350281;10=10432170000/17095562081;11=6103/10000;12=6153/10000;13=6203/10000;14=6253/10000;15=9352980000/14937182081;16=6303/10000;17=6353/10000;18=6403/10000;19=6453/10000;20=4856355000/7508611003;21=6503/10000;22=6553/10000;23=6603/10000;24=6653/10000;25=6703/10000;26=6753/10000;27=6803/10000;28=7014735000/10260692081;29=6853/10000;30=6903/10000;31=6953/10000;32=7003/10000;33=7053/10000;34=7103/10000;35=7153/10000;36=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40740997,41432886;1,2,41432886,42023988;2,3,42023988,40958547;3,4,40958547,36717865;4,5,36717865,36637301;5,6,36637301,36036009;6,7,36036009,36556776;7,8,36556776,36638809;8,9,36638809,36921086;9,10,36921086,37237674;10,11,37237674,37221280;11,12,37221280,36110140;12,13,36110140,35015838;13,14,35015838,33938372;14,15,33938372,33755972;15,16,33755972,32877744;16,17,32877744,31833953;17,18,31833953,30807000;18,19,30807000,29796884;19,20,29796884,29502829;20,21,29502829,28803605;21,22,28803605,27827163;22,23,27827163,26867559;23,24,26867559,25924792;24,25,25924792,24998862;25,26,24998862,24089770;26,27,24089770,23197514;27,28,23197514,22608904;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;17935531631/5395950000,1/3,21052592081/10791900000;-12313598835149
1;0,3,7;11/30,2,1;-2
3;0,3,7;31/30,2,1;-1
4;2,3,7;17/30,7/3,29/60;-41
5;2,3,8;14/15,1,29/60;-1
8;1,3,6;31/30,10/3,23/20;-31
10;10;1;-1
12;10;1;-1
13;2,3,10;8/5,1/3,29/60;-1
17;2,3,8;14/15,1,29/60;-1
18;1,4,13;17935531631/5395950000,1/3,21052592081/10791900000;-12313598835149
19;0,3,13;31/30,2,1;-1
21;0,3,13;11/30,2,1;-2
22;2,3,8;14/15,1,29/60;-1
25;2,3,8;14/15,1,29/60;-1
26;1,3,12;31/30,10/3,23/20;-31
27;0,1,7;2/3,2,1;-1
28;0,3,7;11/30,2,1;-2
30;0,3,7;31/30,2,1;-1
31;2,3,7;47/30,7/3,13/20;-31
35;1,3,6;31/30,10/3,23/20;-31
36;1,4,10;10260692081/2697975000,2,21052592081/10791900000;-2035598835149
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;31/30,2,1;-1
48;0,3,13;11/30,2,1;-2
49;2,3,13;47/30,7/3,13/20;-31
53;1,3,12;31/30,10/3,23/20;-31
54;0,1,7;5/3,2,1;-1
55;0,3,7;11/30,2,1;-2
56;1,4,7;2748410489/674493750,5/3,21052592081/10791900000;-4605098835149
57;0,3,7;31/30,2,1;-1
58;2,3,7;77/30,17/6,9/10;-31
60;1,4,12;7508611003/1348987500,1,21052592081/10791900000;-2035598835149
62;1,3,6;31/30,10/3,23/20;-31
63;1,4,6;7508611003/1348987500,1,21052592081/10791900000;-2035598835149
64;10;1;-1
65;1,4,6;7508611003/1348987500,1,21052592081/10791900000;-2035598835149
66;10;1;-1
69;1,4,12;7508611003/1348987500,1,21052592081/10791900000;-2035598835149
72;0,1,13;5/3,2,1;-1
73;0,3,13;31/30,2,1;-1
74;1,4,6;7508611003/1348987500,1,21052592081/10791900000;-2035598835149
75;0,3,13;11/30,2,1;-2
76;2,3,13;77/30,17/6,9/10;-31
78;1,4,9;2748410489/674493750,5/3,21052592081/10791900000;-4605098835149
80;1,3,12;31/30,10/3,23/20;-31
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,2,3;5539023297020,110919148200000000000000,20107417023060,800
6;5,4,12,3;96091156955,337246875,38761017555,5
7;11,4,2,3;38761017555,666880868192103534375,20107417023060,45
9;1,4,10,3;5539023297020,3826336380059719181250,96091156955,35
11;1,4,6,3;5539023297020,9712170797842359590625,38761017555,185
14;5,4,2,3;38761017555,666880868192103534375,20107417023060,45
15;1,4,12,3;5539023297020,9712170797842359590625,38761017555,185
16;11,4,2,3;38761017555,666880868192103534375,20107417023060,45
20;11,4,6,3;96091156955,337246875,38761017555,5
23;5,4,2,3;38761017555,666880868192103534375,20107417023060,45
24;1,4,2,3;5539023297020,110919148200000000000000,20107417023060,800
29;1,4,7,3;5539023297020,16745797515477753450000,10963185522765,110
32;8,4,2,3;10963185522765,18168777359177246550000,30298725297020,190
33;1,4,12,3;5539023297020,36102685807738876725000,14677140822765,85
34;11,4,2,3;14677140822765,2697975000,30298725297020,5
38;1,4,6,3;5539023297020,36102685807738876725000,14677140822765,85
41;5,4,2,3;14677140822765,2697975000,30298725297020,5
42;1,4,12,3;5539023297020,36102685807738876725000,14677140822765,85
43;11,4,2,3;14677140822765,2697975000,30298725297020,5
44;8,4,2,3;10963185522765,18168777359177246550000,30298725297020,190
47;1,4,6,3;5539023297020,36102685807738876725000,14677140822765,85
50;5,4,2,3;14677140822765,2697975000,30298725297020,5
51;1,4,9,3;5539023297020,16745797515477753450000,10963185522765,110
52;8,4,2,3;10963185522765,18168777359177246550000,30298725297020,190
59;1,4,2,3;5539023297020,20797340287500000000000,7130114785130,50
61;1,4,2,3;5539023297020,20797340287500000000000,7130114785130,50
68;1,4,2,3;5539023297020,20797340287500000000000,7130114785130,50
70;1,4,2,3;5539023297020,20797340287500000000000,7130114785130,50
71;1,4,2,3;5539023297020,20797340287500000000000,7130114785130,50
77;1,4,2,3;5539023297020,20797340287500000000000,7130114785130,50
79;1,4,2,3;5539023297020,20797340287500000000000,7130114785130,50
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;2,3
2;2;E;4,1
3;2;E;4,2
4;2;E;4,3
5;6;V;3,5
6;6;V;12,3
7;6;E;4,5
8;6;E;4,12
9;6;E;4,3
10;7;V;2,3
11;7;E;4,2
12;7;E;4,3
13;9;V;3,1
14;9;E;4,1
15;9;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/2;V/2,3/1/0/9;E/4,1/2/0/2;E/4,2/3/0/9;E/4,3/4/2/9
6:V/3,5/5/0/4;V/12,3/6/0/7;E/4,5/7/0/4;E/4,12/8/0/7;E/4,3/9/4/7
7:V/3,11/6/0/7;V/2,3/10/0/9;E/4,11/8/0/7;E/4,2/11/0/9;E/4,3/12/7/9
9:V/3,1/13/0/2;V/10,3/5/0/4;E/4,1/14/0/2;E/4,10/7/0/4;E/4,3/15/2/4
11:V/3,1/16/0/2;V/6,3/17/0/7;E/4,1/18/0/2;E/4,6/19/0/7;E/4,3/20/2/7
14:V/3,5/17/0/7;V/2,3/21/0/9;E/4,5/19/0/7;E/4,2/22/0/9;E/4,3/23/7/9
15:V/3,1/16/0/2;V/12,3/17/0/7;E/4,1/18/0/2;E/4,12/19/0/7;E/4,3/20/2/7
16:V/3,11/17/0/7;V/2,3/21/0/9;E/4,11/19/0/7;E/4,2/22/0/9;E/4,3/23/7/9
20:V/3,11/5/0/4;V/6,3/6/0/7;E/4,11/7/0/4;E/4,6/8/0/7;E/4,3/9/4/7
23:V/3,5/6/0/7;V/2,3/10/0/9;E/4,5/8/0/7;E/4,2/11/0/9;E/4,3/12/7/9
24:V/3,1/0/0/2;V/2,3/1/0/9;E/4,1/2/0/2;E/4,2/3/0/9;E/4,3/4/2/9
29:V/3,1/24/0/2;V/7,3/25/0/10;E/4,1/26/0/2;E/4,7/27/0/10;E/4,3/28/2/10
32:V/3,8/25/0/10;V/2,3/29/0/28;E/4,8/27/0/10;E/4,2/30/0/28;E/4,3/31/10/28
33:V/3,1/32/0/2;V/12,3/33/0/15;E/4,1/34/0/2;E/4,12/35/0/15;E/4,3/36/2/15
34:V/3,11/33/0/15;V/2,3/37/0/28;E/4,11/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
38:V/3,1/40/0/2;V/6,3/41/0/15;E/4,1/42/0/2;E/4,6/43/0/15;E/4,3/44/2/15
40:V/2,3/37/0/28;E/4,2/38/0/28
41:V/3,5/41/0/15;V/2,3/45/0/28;E/4,5/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
42:V/3,1/40/0/2;V/12,3/41/0/15;E/4,1/42/0/2;E/4,12/43/0/15;E/4,3/44/2/15
43:V/3,11/41/0/15;V/2,3/45/0/28;E/4,11/43/0/15;E/4,2/46/0/28;E/4,3/47/15/28
44:V/3,8/25/0/10;V/2,3/29/0/28;E/4,8/27/0/10;E/4,2/30/0/28;E/4,3/31/10/28
47:V/3,1/32/0/2;V/6,3/33/0/15;E/4,1/34/0/2;E/4,6/35/0/15;E/4,3/36/2/15
50:V/3,5/33/0/15;V/2,3/37/0/28;E/4,5/35/0/15;E/4,2/38/0/28;E/4,3/39/15/28
51:V/3,1/24/0/2;V/9,3/25/0/10;E/4,1/26/0/2;E/4,9/27/0/10;E/4,3/28/2/10
52:V/3,8/25/0/10;V/2,3/29/0/28;E/4,8/27/0/10;E/4,2/30/0/28;E/4,3/31/10/28
59:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
61:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
67:V/2,3/54/0/20;E/4,2/56/0/20
68:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
70:V/3,1/58/0/2;V/2,3/59/0/20;E/4,1/60/0/2;E/4,2/61/0/20;E/4,3/62/2/20
71:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
77:V/3,1/53/0/2;V/2,3/54/0/20;E/4,1/55/0/2;E/4,2/56/0/20;E/4,3/57/2/20
79:V/3,1/48/0/2;V/2,3/49/0/20;E/4,1/50/0/2;E/4,2/51/0/20;E/4,3/52/2/20
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;40740997/100000000,20716443/50000000;4,4074,295,3743,5803,33308;4,4143,297,3775,5853,5948
0;L;1,2;20716443/50000000,10505997/25000000;4,4143,297,3775,5853,5948;10,4202398800,299026124,3801903571,5895086436,438160620391
1;C;0,4;7343573/20000000;2,36,0,0,59,238;2,36,0,0,60,0
1;C;4,6;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
1;L;6,7;36036009/100000000,4569597/12500000;8,36036009,0,0,60030000,0;10,3655677600,0,0,6046219966,245485917688
1;L;7,8;4569597/12500000,36638809/100000000;10,3655677600,0,0,6046219966,245485917688;8,36638809,0,0,60530000,0
1;L;8,9;36638809/100000000,18460543/50000000;8,36638809,0,0,60530000,0;10,3692108600,0,0,6076272321,1362098545918
2;L;0,1;40740997/100000000,20716443/50000000;8,40740997,1608965,37558604,58030000,97199959;8,41432886,2358965,37808604,58530000,147699959
2;L;1,2;20716443/50000000,10505997/25000000;8,41432886,2358965,37808604,58530000,147699959;10,4202398800,299026124,3801903571,5895086436,438160620391
3;C;0,4;7343573/20000000;2,36,0,0,59,238;2,36,0,0,60,0
3;C;4,6;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
3;L;6,7;36036009/100000000,4569597/12500000;8,36036009,0,0,60030000,0;10,3655677600,0,0,6046219966,245485917688
3;L;7,8;4569597/12500000,36638809/100000000;10,3655677600,0,0,6046219966,245485917688;8,36638809,0,0,60530000,0
3;L;8,9;36638809/100000000,18460543/50000000;8,36638809,0,0,60530000,0;10,3692108600,0,0,6076272321,1362098545918
4;L;2,3;10505997/25000000,40958547/100000000;10,4202398800,299026124,3801903571,5895086436,438160620391;8,40958547,1349678,34940033,59030000,63255227
4;L;3,4;40958547/100000000,7343573/20000000;8,40958547,1349678,34940033,59030000,63255227;8,36717865,0,16118308,59513751,31037134
4;L;4,5;7343573/20000000,36637301/100000000;8,36717865,0,16118308,59513751,31037134;8,36637301,0,15486071,59530000,4982959
4;L;5,6;36637301/100000000,36036009/100000000;8,36637301,0,15486071,59530000,4982959;8,36036009,0,0,60030000,0
4;L;6,7;36036009/100000000,4569597/12500000;8,36036009,0,0,60030000,0;10,3655677600,0,0,6046219966,245485917688
4;L;7,8;4569597/12500000,36638809/100000000;10,3655677600,0,0,6046219966,245485917688;8,36638809,0,0,60530000,0
4;L;8,9;36638809/100000000,18460543/50000000;8,36638809,0,0,60530000,0;10,3692108600,0,0,6076272321,1362098545918
5;C;0,4;7343573/20000000;2,36,59,59,4,206;4,3671,5952,5952,372,2290624
6;C;0,7;36036009/100000000;2,36,30,59,0,2819;2,36,31,61,0,2518
7;C;0,4;7343573/20000000;2,36,59,59,1,236;4,3671,5952,5952,372,2290624
8;C;0,7;36036009/100000000;2,36,30,59,0,2819;2,36,31,61,0,2518
9;C;4,7;36036009/100000000;4,3603,5952,5952,372,930624;2,36,61,31,0,2518
10;C;0,9;36036009/100000000;2,36,30,50,0,3800;2,36,31,52,0,3535
11;C;0,9;36036009/100000000;2,36,30,50,0,3800;2,36,31,52,0,3535
12;C;7,9;4569597/12500000;2,36,31,61,0,2518;2,36,31,52,0,3535
13;C;0,2;40740997/100000000;2,40,59,59,21,156;2,40,59,59,21,156
14;C;0,2;40740997/100000000;2,40,59,59,20,238;2,40,59,59,21,156
15;C;2,3;40958547/100000000;2,40,59,59,21,156;2,40,60,60,19,78
15;L;3,4;40958547/100000000,7343573/20000000;2,40,60,60,19,78;4,3671,5952,5952,372,2290624
16;C;0,1;40740997/100000000;4,4074,295,5803,4773,2155108;4,4074,297,5853,4814,784990
16;C;1,2;20716443/50000000;4,4143,297,5853,4814,2164990;4,4143,300,5896,4849,981582
17;C;0,7;36036009/100000000;2,36,0,59,20,2919;2,36,0,61,20,2679
18;C;0,1;40740997/100000000;4,4074,161,5803,4780,2082470;4,4074,236,5853,4817,759717
18;C;1,2;20716443/50000000;4,4143,236,5853,4817,2139717;4,4143,300,5896,4849,981582
19;C;0,7;36036009/100000000;2,36,0,59,18,3071;2,36,0,61,20,2679
20;C;2,3;40958547/100000000;4,4095,5896,300,4849,21582;4,4095,5903,135,4699,2875164
20;L;3,4;40958547/100000000,7343573/20000000;4,4095,5903,135,4699,2875164;2,36,60,0,38,712
20;C;4,7;36036009/100000000;2,36,60,0,38,712;2,36,61,0,20,2679
21;C;0,9;36036009/100000000;2,36,0,50,19,3978;2,36,0,52,19,3774
22;C;0,9;36036009/100000000;2,36,0,50,17,4122;2,36,0,52,19,3774
23;C;7,9;4569597/12500000;2,36,0,61,20,2679;2,36,0,52,19,3774
24;C;0,2;40740997/100000000;2,40,0,1,59,1037;2,40,0,1,59,1037
25;C;0,5;36637301/100000000;2,36,0,0,59,238;2,36,0,0,60,0
25;C;5,6;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
25;L;6,7;36036009/100000000,4569597/12500000;8,36036009,0,0,60030000,0;10,3655677600,0,0,6046219966,245485917688
25;L;7,8;4569597/12500000,36638809/100000000;10,3655677600,0,0,6046219966,245485917688;8,36638809,0,0,60530000,0
25;L;8,9;36638809/100000000,18460543/50000000;8,36638809,0,0,60530000,0;10,3692108600,0,0,6076272321,1362098545918
25;L;9,10;18460543/50000000,18618837/50000000;10,3692108600,0,0,6076272321,1362098545918;10,3723767400,0,0,6102267917,538304962222
26;C;0,2;40740997/100000000;2,40,0,1,59,1037;2,40,0,1,59,1037
27;C;0,5;36637301/100000000;2,36,0,0,59,238;2,36,0,0,60,0
27;C;5,6;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
27;L;6,7;36036009/100000000,4569597/12500000;8,36036009,0,0,60030000,0;10,3655677600,0,0,6046219966,245485917688
27;L;7,8;4569597/12500000,36638809/100000000;10,3655677600,0,0,6046219966,245485917688;8,36638809,0,0,60530000,0
27;L;8,9;36638809/100000000,18460543/50000000;8,36638809,0,0,60530000,0;10,3692108600,0,0,6076272321,1362098545918
27;L;9,10;18460543/50000000,18618837/50000000;10,3692108600,0,0,6076272321,1362098545918;10,3723767400,0,0,6102267917,538304962222
28;C;2,6;36036009/100000000;2,36,0,1,59,237;8,36036009,0,0,60030000,0
28;L;6,7;36036009/100000000,4569597/12500000;8,36036009,0,0,60030000,0;10,3655677600,0,0,6046219966,245485917688
28;L;7,8;4569597/12500000,36638809/100000000;10,3655677600,0,0,6046219966,245485917688;8,36638809,0,0,60530000,0
28;L;8,9;36638809/100000000,18460543/50000000;8,36638809,0,0,60530000,0;10,3692108600,0,0,6076272321,1362098545918
28;L;9,10;18460543/50000000,18618837/50000000;10,3692108600,0,0,6076272321,1362098545918;10,3723767400,0,0,6102267917,538304962222
29;C;0,28;2826113/12500000;2,22,0,0,41,1038;10,2260890400,0,0,4754882114,163925782008
30;C;0,28;2826113/12500000;2,22,0,0,44,528;10,2260890400,0,0,4754882114,163925782008
31;L;10,11;18618837/50000000,232633/625000;10,3723767400,0,0,6102267917,538304962222;8,37221280,0,0,61009245,49059950
31;L;11,12;232633/625000,1805507/5000000;8,37221280,0,0,61009245,49059950;10,3611014000,0,0,6009171301,550475934798
31;L;12,13;1805507/5000000,17507919/50000000;10,3611014000,0,0,6009171301,550475934798;10,3501583800,0,0,5917418105,1941236417950
31;L;13,14;17507919/50000000,8484593/25000000;10,3501583800,0,0,5917418105,1941236417950;10,3393837200,0,0,5825664909,736092043438
31;L;14,15;8484593/25000000,8438993/25000000;10,3393837200,0,0,5825664909,736092043438;10,3375597200,0,0,5809988928,1313034821632
31;L;15,16;8438993/25000000,2054859/6250000;10,3375597200,0,0,5809988928,1313034821632;10,3287774400,0,0,5733911713,935042811262
31;L;16,17;2054859/6250000,31833953/100000000;10,3287774400,0,0,5733911713,935042811262;10,3183395300,0,0,5642158517,538088721422
31;L;17,18;31833953/100000000,30807/100000;10,3183395300,0,0,5642158517,538088721422;10,3080700000,0,0,5550405321,1545229773918
31;L;18,19;30807/100000,7449221/25000000;10,3080700000,0,0,5550405321,1545229773918;8,29796884,0,0,54586522,31887032
31;L;19,20;7449221/25000000,29502829/100000000;8,29796884,0,0,54586522,31887032;10,2950282900,0,0,5431650629,888967808718
31;L;20,21;29502829/100000000,5760721/20000000;10,2950282900,0,0,5431650629,888967808718;8,28803605,0,0,53668990,24759800
31;L;21,22;5760721/20000000,27827163/100000000;8,28803605,0,0,53668990,24759800;10,2782716300,0,0,5275145733,991223785422
31;L;22,23;27827163/100000000,26867559/100000000;10,2782716300,0,0,5275145733,991223785422;8,26867559,0,0,51833926,30853048
31;L;23,24;26867559/100000000,3240599/12500000;8,26867559,0,0,51833926,30853048;8,25924792,0,0,50916394,44073528
31;L;24,25;3240599/12500000,12499431/50000000;8,25924792,0,0,50916394,44073528;10,2499886200,0,0,4999886145,1074074077950
31;L;25,26;12499431/50000000,2408977/10000000;10,2499886200,0,0,4999886145,1074074077950;8,24089770,0,0,49081330,90862200
31;L;26,27;2408977/10000000,11598757/50000000;8,24089770,0,0,49081330,90862200;10,2319751400,0,0,4816379753,149783317982
31;L;27,28;11598757/50000000,2826113/12500000;10,2319751400,0,0,4816379753,149783317982;10,2260890400,0,0,4754882114,163925782008
32;C;0,2;40740997/100000000;2,40,49,59,0,2118;2,40,50,59,0,2019
33;C;0,15;8438993/25000000;2,33,22,59,0,2635;2,33,24,63,0,2055
34;C;0,2;40740997/100000000;2,40,59,50,0,2019;2,40,59,50,0,2019
35;C;0,15;8438993/25000000;2,33,22,59,0,2635;2,33,24,63,0,2055
36;C;2,15;8438993/25000000;2,33,59,50,0,619;2,33,63,24,0,2055
37;C;0,28;2826113/12500000;2,22,22,22,0,3432;2,22,26,26,0,3048
38;C;0,28;2826113/12500000;2,22,22,22,0,3432;2,22,26,26,0,3048
39;C;15,28;2826113/12500000;4,2260,2349,6262,0,469555;2,22,26,26,0,3048
40;C;0,2;40740997/100000000;2,40,0,59,30,2719;2,40,0,59,30,2719
41;C;0,15;8438993/25000000;2,33,0,59,15,2669;2,33,0,63,16,2119
42;C;0,2;40740997/100000000;2,40,0,59,30,2719;2,40,0,59,30,2719
43;C;0,15;8438993/25000000;2,33,0,59,11,2877;2,33,0,63,16,2119
44;C;2,15;8438993/25000000;2,33,59,0,30,1319;2,33,63,0,16,2119
45;C;0,28;2826113/12500000;2,22,0,22,12,3628;2,22,0,26,14,3332
46;C;0,28;2826113/12500000;2,22,0,22,4,3884;2,22,0,26,14,3332
47;C;15,28;2826113/12500000;4,2260,0,6262,1521,1360474;2,22,0,26,14,3332
48;C;0,2;40740997/100000000;2,40,0,0,47,3582;2,40,0,0,48,3392
49;C;0,20;29502829/100000000;2,29,0,0,33,3622;2,29,0,0,37,3062
50;C;0,2;40740997/100000000;2,40,0,0,48,3392;2,40,0,0,48,3392
51;C;0,20;29502829/100000000;2,29,0,0,35,3350;2,29,0,0,37,3062
52;C;2,20;29502829/100000000;2,29,0,0,48,1192;2,29,0,0,37,3062
53;C;0,2;40740997/100000000;2,40,18,53,0,4867;2,40,18,54,0,4760
54;C;0,20;29502829/100000000;2,29,18,18,0,5152;2,29,20,20,0,5000
55;C;0,2;40740997/100000000;2,40,18,54,0,4760;2,40,18,54,0,4760
56;C;0,20;29502829/100000000;2,29,18,18,0,5152;2,29,20,20,0,5000
57;C;2,20;29502829/100000000;2,29,18,54,0,2560;2,29,20,20,0,5000
58;C;0,2;40740997/100000000;2,40,0,53,11,4949;2,40,0,54,12,4796
59;C;0,20;29502829/100000000;2,29,0,18,10,5276;2,29,0,20,11,5158
60;C;0,2;40740997/100000000;2,40,0,54,11,4842;2,40,0,54,12,4796
61;C;0,20;29502829/100000000;2,29,0,18,4,5444;2,29,0,20,11,5158
62;C;2,20;29502829/100000000;2,29,0,54,12,2596;2,29,0,20,11,5158
MASS SLACK NUMERATOR 137773358653620815745413134064314007445253736897314877972435001076205273732380997

BIN 31: PQP; (23/20,47/40]; gamma0=5837/10000; mass ceiling=49573979/50000000.
GAMMA 0=5837/10000;1=5887/10000;2=12680482500/21390092081;3=5937/10000;4=5987/10000;5=18346230000/30623648407;6=6037/10000;7=5395950000/8921850281;8=6087/10000;9=10971765000/17972657081;10=12230820000/20025642877;11=6137/10000;12=11151630000/18155406607;13=5485882500/8921850281;14=6187/10000;15=6237/10000;16=9712710000/15454547081;17=6287/10000;18=6337/10000;19=6387/10000;20=6437/10000;21=6487/10000;22=4991253750/7677361003;23=6537/10000;24=6587/10000;25=6637/10000;26=6687/10000;27=6737/10000;28=6787/10000;29=6837/10000;30=7284532500/10598192081;31=6887/10000;32=6937/10000;33=6987/10000;34=7037/10000;35=7087/10000;36=7137/10000;37=7187/10000;38=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40625926,41298530;1,2,41298530,41861237;2,3,41861237,40941783;3,4,40941783,37344940;4,5,37344940,37179174;5,6,37179174,36449459;6,7,36449459,36578507;7,8,36578507,37051569;8,9,37051569,37267342;9,10,37267342,37302524;10,11,37302524,37662769;11,12,37662769,37728084;12,13,37728084,37149719;13,14,36228611,35341482;14,15,35341482,34196429;15,16,34196429,33121756;16,17,33121756,33070232;17,18,33070232,31962891;18,19,31962891,30874407;19,20,30874407,29804779;20,21,29804779,28754008;21,22,28754008,28457737;22,23,28457737,27722093;23,24,27722093,26709035;24,25,26709035,25714833;25,26,25714833,24739487;26,27,24739487,23782998;27,28,23782998,22845365;28,29,22845365,21926589;29,30,21926589,21270067;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0;36,37,0,0;37,38,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;18273031631/5395950000,1/3,21390092081/10791900000;-88880967476797
1;0,3,7;19/60,2,1;-2
3;0,3,7;59/60,2,1;-1
4;2,3,7;43/60,7/3,61/120;-79
8;1,3,6;59/60,10/3,47/40;-59
10;10;1;-1
12;10;1;-1
13;2,3,10;17/10,1/3,61/120;-1
18;1,4,13;18273031631/5395950000,1/3,21390092081/10791900000;-88880967476797
19;0,3,13;59/60,2,1;-1
21;0,3,13;19/60,2,1;-2
22;2,3,13;43/60,7/3,61/120;-79
26;1,3,12;59/60,10/3,47/40;-59
27;0,1,7;2/3,2,1;-1
28;0,3,7;19/60,2,1;-2
30;0,3,7;59/60,2,1;-1
31;2,3,7;103/60,7/3,27/40;-59
35;1,3,6;59/60,10/3,47/40;-59
36;1,4,10;10598192081/2697975000,2,21390092081/10791900000;-16934967476797
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;59/60,2,1;-1
48;0,3,13;19/60,2,1;-2
49;2,3,13;103/60,7/3,27/40;-59
53;1,3,12;59/60,10/3,47/40;-59
54;0,1,7;5/3,2,1;-1
55;0,3,7;19/60,2,1;-2
56;1,4,7;2832785489/674493750,5/3,21390092081/10791900000;-34921467476797
57;0,3,7;59/60,2,1;-1
58;2,3,7;163/60,17/6,37/40;-59
60;1,4,12;7677361003/1348987500,1,21390092081/10791900000;-16934967476797
62;1,3,6;59/60,10/3,47/40;-59
63;1,4,6;7677361003/1348987500,1,21390092081/10791900000;-16934967476797
64;10;1;-1
65;1,4,6;7677361003/1348987500,1,21390092081/10791900000;-16934967476797
66;10;1;-1
69;1,4,12;7677361003/1348987500,1,21390092081/10791900000;-16934967476797
72;0,1,13;5/3,2,1;-1
73;0,3,13;59/60,2,1;-1
74;1,4,6;7677361003/1348987500,1,21390092081/10791900000;-16934967476797
75;0,3,13;19/60,2,1;-2
76;2,3,13;163/60,17/6,37/40;-59
78;1,4,9;2832785489/674493750,5/3,21390092081/10791900000;-34921467476797
80;1,3,12;59/60,10/3,47/40;-59
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,2,7,3;78034300928120,776434037400000000000000,3765319819606,1,1580
5;8,2,3;1,2,60
6;5,4,12,3;23560321241705,337246875,81277837904265,10
7;11,4,2,3;81277837904265,5430969745918656384375,333838189176360,210
9;1,4,10,3;78034300928120,24972815783572153481250,23560321241705,260
11;1,4,6,3;78034300928120,67079426146473576740625,81277837904265,730
14;5,4,2,3;81277837904265,5430969745918656384375,333838189176360,210
15;1,4,12,3;78034300928120,67079426146473576740625,81277837904265,730
16;11,4,2,3;81277837904265,5430969745918656384375,333838189176360,210
17;8,2,3;1,2,60
20;11,4,6,3;23560321241705,337246875,81277837904265,10
23;5,4,2,3;81277837904265,5430969745918656384375,333838189176360,210
24;1,4,2,9,3;78034300928120,776434037400000000000000,3765319819606,1,1580
25;8,2,3;1,2,60
29;1,4,7,3;78034300928120,102728271593577227850000,72168759273045,380
32;8,4,2,3;72168759273045,139693845733637772150000,439347112928120,820
33;1,4,12,3;78034300928120,245472645146788613925000,34594543441015,110
34;11,4,2,3;34594543441015,2697975000,439347112928120,10
38;1,4,6,3;78034300928120,245472645146788613925000,34594543441015,110
41;5,4,2,3;34594543441015,2697975000,439347112928120,10
42;1,4,12,3;78034300928120,245472645146788613925000,34594543441015,110
43;11,4,2,3;34594543441015,2697975000,439347112928120,10
44;8,4,2,3;72168759273045,139693845733637772150000,439347112928120,820
47;1,4,6,3;78034300928120,245472645146788613925000,34594543441015,110
50;5,4,2,3;34594543441015,2697975000,439347112928120,10
51;1,4,9,3;78034300928120,102728271593577227850000,72168759273045,380
52;8,4,2,3;72168759273045,139693845733637772150000,439347112928120,820
59;1,4,2,3;78034300928120,145581382012500000000000,203991253019560,400
61;1,4,2,3;78034300928120,145581382012500000000000,203991253019560,400
68;1,4,2,3;78034300928120,145581382012500000000000,203991253019560,400
70;1,4,2,3;78034300928120,145581382012500000000000,203991253019560,400
71;1,4,2,3;78034300928120,145581382012500000000000,203991253019560,400
77;1,4,2,3;78034300928120,145581382012500000000000,203991253019560,400
79;1,4,2,3;78034300928120,145581382012500000000000,203991253019560,400
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;2,7
2;2;V;7,3
3;2;E;4,1
4;2;E;4,2
5;2;E;4,7
6;2;E;4,3
7;5;V;2,3
8;5;E;4,2
9;5;E;4,3
10;6;V;3,5
11;6;V;12,3
12;6;E;4,5
13;6;E;4,12
14;6;E;4,3
15;7;V;2,3
16;7;E;4,2
17;7;E;4,3
18;9;V;3,1
19;9;E;4,1
20;9;E;4,3
21;11;V;3,1
22;11;V;6,3
23;11;E;4,1
24;11;E;4,6
25;11;E;4,3
26;14;V;2,3
27;14;E;4,2
28;14;E;4,3
29;29;V;3,1
30;29;V;7,3
31;29;E;4,1
32;29;E;4,7
33;29;E;4,3
34;32;V;2,3
35;32;E;4,2
36;32;E;4,3
37;33;V;3,1
38;33;V;12,3
39;33;E;4,1
40;33;E;4,12
41;33;E;4,3
42;34;V;2,3
43;34;E;4,2
44;34;E;4,3
45;38;V;3,1
46;38;V;6,3
47;38;E;4,1
48;38;E;4,6
49;38;E;4,3
50;41;V;2,3
51;41;E;4,2
52;41;E;4,3
53;59;V;3,1
54;59;V;2,3
55;59;E;4,1
56;59;E;4,2
57;59;E;4,3
58;61;V;3,1
59;61;V;2,3
60;61;E;4,1
61;61;E;4,2
62;61;E;4,3
63;68;V;3,1
64;68;V;2,3
65;68;E;4,1
66;68;E;4,2
67;68;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:
2:V/3,1/0/0/2;V/2,7/1/0/7;V/7,3/2/0/12;E/4,1/3/0/2;E/4,2/4/0/7;E/4,7/5/7/12;E/4,3/6/2/12
5:V/3,8/2/0/12;V/8,2/1/0/7;V/2,3/7/0/13;E/4,8/5/7/12;E/4,2/8/7/13;E/4,3/9/12/13
6:V/3,5/10/0/5;V/12,3/11/0/10;E/4,5/12/0/5;E/4,12/13/0/10;E/4,3/14/5/10
7:V/3,11/11/0/10;V/2,3/15/0/13;E/4,11/13/0/10;E/4,2/16/0/13;E/4,3/17/10/13
9:V/3,1/18/0/2;V/10,3/10/0/5;E/4,1/19/0/2;E/4,10/12/0/5;E/4,3/20/2/5
11: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
14:V/3,5/22/0/10;V/2,3/26/0/13;E/4,5/24/0/10;E/4,2/27/0/13;E/4,3/28/10/13
15:V/3,1/21/0/2;V/12,3/22/0/10;E/4,1/23/0/2;E/4,12/24/0/10;E/4,3/25/2/10
16:V/3,11/22/0/10;V/2,3/26/0/13;E/4,11/24/0/10;E/4,2/27/0/13;E/4,3/28/10/13
17:V/3,8/2/0/12;V/8,2/1/0/7;V/2,3/7/0/13;E/4,8/5/7/12;E/4,2/8/7/13;E/4,3/9/12/13
20:V/3,11/10/0/5;V/6,3/11/0/10;E/4,11/12/0/5;E/4,6/13/0/10;E/4,3/14/5/10
23:V/3,5/11/0/10;V/2,3/15/0/13;E/4,5/13/0/10;E/4,2/16/0/13;E/4,3/17/10/13
24:V/3,1/0/0/2;V/2,9/1/0/7;V/9,3/2/0/12;E/4,1/3/0/2;E/4,2/4/0/7;E/4,9/5/7/12;E/4,3/6/2/12
25:V/3,8/2/0/12;V/8,2/1/0/7;V/2,3/7/0/13;E/4,8/5/7/12;E/4,2/8/7/13;E/4,3/9/12/13
29:V/3,1/29/0/2;V/7,3/30/0/9;E/4,1/31/0/2;E/4,7/32/0/9;E/4,3/33/2/9
32:V/3,8/30/0/9;V/2,3/34/0/30;E/4,8/32/0/9;E/4,2/35/0/30;E/4,3/36/9/30
33:V/3,1/37/0/2;V/12,3/38/0/16;E/4,1/39/0/2;E/4,12/40/0/16;E/4,3/41/2/16
34:V/3,11/38/0/16;V/2,3/42/0/30;E/4,11/40/0/16;E/4,2/43/0/30;E/4,3/44/16/30
38:V/3,1/45/0/2;V/6,3/46/0/16;E/4,1/47/0/2;E/4,6/48/0/16;E/4,3/49/2/16
40:V/2,3/42/0/30;E/4,2/43/0/30
41:V/3,5/46/0/16;V/2,3/50/0/30;E/4,5/48/0/16;E/4,2/51/0/30;E/4,3/52/16/30
42:V/3,1/45/0/2;V/12,3/46/0/16;E/4,1/47/0/2;E/4,12/48/0/16;E/4,3/49/2/16
43:V/3,11/46/0/16;V/2,3/50/0/30;E/4,11/48/0/16;E/4,2/51/0/30;E/4,3/52/16/30
44:V/3,8/30/0/9;V/2,3/34/0/30;E/4,8/32/0/9;E/4,2/35/0/30;E/4,3/36/9/30
47:V/3,1/37/0/2;V/6,3/38/0/16;E/4,1/39/0/2;E/4,6/40/0/16;E/4,3/41/2/16
50:V/3,5/38/0/16;V/2,3/42/0/30;E/4,5/40/0/16;E/4,2/43/0/30;E/4,3/44/16/30
51:V/3,1/29/0/2;V/9,3/30/0/9;E/4,1/31/0/2;E/4,9/32/0/9;E/4,3/33/2/9
52:V/3,8/30/0/9;V/2,3/34/0/30;E/4,8/32/0/9;E/4,2/35/0/30;E/4,3/36/9/30
59:V/3,1/53/0/2;V/2,3/54/0/22;E/4,1/55/0/2;E/4,2/56/0/22;E/4,3/57/2/22
61:V/3,1/58/0/2;V/2,3/59/0/22;E/4,1/60/0/2;E/4,2/61/0/22;E/4,3/62/2/22
67:V/2,3/59/0/22;E/4,2/61/0/22
68:V/3,1/63/0/2;V/2,3/64/0/22;E/4,1/65/0/2;E/4,2/66/0/22;E/4,3/67/2/22
70:V/3,1/63/0/2;V/2,3/64/0/22;E/4,1/65/0/2;E/4,2/66/0/22;E/4,3/67/2/22
71:V/3,1/53/0/2;V/2,3/54/0/22;E/4,1/55/0/2;E/4,2/56/0/22;E/4,3/57/2/22
77:V/3,1/58/0/2;V/2,3/59/0/22;E/4,1/60/0/2;E/4,2/61/0/22;E/4,3/62/2/22
79:V/3,1/53/0/2;V/2,3/54/0/22;E/4,1/55/0/2;E/4,2/56/0/22;E/4,3/57/2/22
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;20312963/50000000,4129853/10000000;4,4062,119,3608,5837,67037;4,4129,120,3638,5887,17018
0;L;1,2;4129853/10000000,41861237/100000000;4,4129,120,3638,5887,17018;10,4186123700,120526130,3663433739,5928203793,269264529281
1;C;0,3;20312963/50000000;2,40,0,0,59,1038;2,40,0,0,60,800
1;C;3,5;18589587/50000000;2,37,0,0,60,200;2,37,0,0,60,200
1;C;5,6;36449459/100000000;2,36,0,0,60,0;6,364494,0,0,603700,80620000
1;L;6,7;36449459/100000000,36578507/100000000;6,364494,0,0,603700,80620000;10,3657850700,0,0,6048016757,614094405902
2;C;0,6;36449459/100000000;2,36,0,0,59,238;6,364494,0,0,603700,80620000
2;L;6,7;36449459/100000000,36578507/100000000;6,364494,0,0,603700,80620000;10,3657850700,0,0,6048016757,614094405902
2;L;7,8;36578507/100000000,37051569/100000000;10,3657850700,0,0,6048016757,614094405902;8,37051569,0,0,60870000,0
2;L;8,9;37051569/100000000,18633671/50000000;8,37051569,0,0,60870000,0;10,3726734200,0,0,6104698349,135433348398
2;L;9,10;18633671/50000000,9325631/25000000;10,3726734200,0,0,6104698349,135433348398;10,3730252400,0,0,6107579205,509303135950
2;L;10,11;9325631/25000000,37662769/100000000;10,3730252400,0,0,6107579205,509303135950;8,37662769,0,0,61370000,0
2;L;11,12;37662769/100000000,9432021/25000000;8,37662769,0,0,61370000,0;8,37728084,0,0,61423191,14755038
3;L;0,1;20312963/50000000,4129853/10000000;10,4062592600,0,3620871969,5837000000,184110063039;8,41298530,573470,36442054,58870000,32420184
3;L;1,2;4129853/10000000,41861237/100000000;8,41298530,573470,36442054,58870000,32420184;10,4186123700,120526130,3663433739,5928203793,269264529281
4;C;0,3;20312963/50000000;2,40,0,0,59,1038;2,40,0,0,60,800
4;C;3,5;18589587/50000000;2,37,0,0,60,200;2,37,0,0,60,200
4;C;5,6;36449459/100000000;2,36,0,0,60,0;6,364494,0,0,603700,80620000
4;L;6,7;36449459/100000000,36578507/100000000;6,364494,0,0,603700,80620000;10,3657850700,0,0,6048016757,614094405902
5;L;7,8;36578507/100000000,37051569/100000000;10,3657850700,0,0,6048016757,614094405902;8,37051569,0,0,60870000,0
5;L;8,9;37051569/100000000,18633671/50000000;8,37051569,0,0,60870000,0;10,3726734200,0,0,6104698349,135433348398
5;L;9,10;18633671/50000000,9325631/25000000;10,3726734200,0,0,6104698349,135433348398;10,3730252400,0,0,6107579205,509303135950
5;L;10,11;9325631/25000000,37662769/100000000;10,3730252400,0,0,6107579205,509303135950;8,37662769,0,0,61370000,0
5;L;11,12;37662769/100000000,9432021/25000000;8,37662769,0,0,61370000,0;8,37728084,0,0,61423191,14755038
6;L;2,3;41861237/100000000,40941783/100000000;10,4186123700,120526130,3663433739,5928203793,269264529281;8,40941783,0,33745558,59370000,115268636
6;L;3,4;40941783/100000000,1867247/5000000;8,40941783,0,33745558,59370000,115268636;8,37344940,0,17324958,59870000,30298236
6;L;4,5;1867247/5000000,18589587/50000000;8,37344940,0,17324958,59870000,30298236;10,3717917400,0,1605396567,5990870114,417027868519
6;L;5,6;18589587/50000000,36449459/100000000;10,3717917400,0,1605396567,5990870114,417027868519;8,36449459,0,904358,60370000,136607836
6;L;6,7;36449459/100000000,36578507/100000000;8,36449459,0,904358,60370000,136607836;10,3657850700,0,0,6048016757,614094405902
6;L;7,8;36578507/100000000,37051569/100000000;10,3657850700,0,0,6048016757,614094405902;8,37051569,0,0,60870000,0
6;L;8,9;37051569/100000000,18633671/50000000;8,37051569,0,0,60870000,0;10,3726734200,0,0,6104698349,135433348398
6;L;9,10;18633671/50000000,9325631/25000000;10,3726734200,0,0,6104698349,135433348398;10,3730252400,0,0,6107579205,509303135950
6;L;10,11;9325631/25000000,37662769/100000000;10,3730252400,0,0,6107579205,509303135950;8,37662769,0,0,61370000,0
6;L;11,12;37662769/100000000,9432021/25000000;8,37662769,0,0,61370000,0;8,37728084,0,0,61423191,14755038
7;C;0,6;36449459/100000000;2,36,0,0,58,472;2,36,0,0,60,0
7;C;6,7;36449459/100000000;2,36,0,0,60,0;2,36,0,0,60,0
7;C;7,8;36578507/100000000;2,36,0,0,60,0;4,3657,0,0,6034,321688
7;C;8,9;37051569/100000000;4,3705,0,0,6034,1281688;4,3705,0,0,6052,846592
7;C;9,13;37149719/100000000;4,3714,0,0,6052,1026592;8,37149719,0,0,60950569,77152478
8;L;7,8;36578507/100000000,37051569/100000000;10,3657850700,0,0,6048016757,614094405902;4,3705,0,0,6067,483022
8;C;8,10;37051569/100000000;4,3705,0,0,6067,483022;4,3705,0,0,6076,264448
8;C;10,13;37149719/100000000;4,3714,0,0,6076,444448;8,37149719,0,0,60950569,77152478
9;L;12,13;9432021/25000000,37149719/100000000;8,37728084,0,0,61423191,14755038;8,37149719,0,0,60950569,77152478
10;C;0,5;18589587/50000000;2,37,59,59,4,406;2,37,60,60,4,168
11;C;0,10;36449459/100000000;2,36,28,59,0,2935;2,36,29,62,0,2515
12;C;0,5;18589587/50000000;2,37,59,59,1,436;2,37,60,60,4,168
13;C;0,10;36449459/100000000;2,36,28,59,0,2935;2,36,29,62,0,2515
14;C;5,10;36449459/100000000;4,3644,5991,5991,353,846620;2,36,62,29,0,2515
15;C;0,13;36449459/100000000;2,36,28,48,0,4112;2,36,29,51,0,3758
16;C;0,13;36449459/100000000;2,36,28,49,0,4015;2,36,29,51,0,3758
17;C;10,13;37149719/100000000;2,37,29,62,0,2715;2,37,29,51,0,3958
18;C;0,2;20312963/50000000;2,40,59,59,19,316;2,40,60,60,19,78
19;C;0,2;20312963/50000000;2,40,59,59,19,316;2,40,60,60,19,78
20;C;2,3;40941783/100000000;2,40,60,60,19,78;2,40,60,60,17,222
20;L;3,4;40941783/100000000,1867247/5000000;2,40,60,60,17,222;2,37,60,60,5,150
20;C;4,5;18589587/50000000;2,37,60,60,5,150;2,37,60,60,4,168
21;C;0,2;20312963/50000000;4,4062,119,5837,4723,2541812;4,4062,121,5929,4796,69086
22;C;0,10;36449459/100000000;2,36,0,59,19,2997;2,36,0,62,20,2556
23;C;0,2;20312963/50000000;4,4062,0,5837,4729,2442549;4,4062,121,5929,4796,69086
24;C;0,10;36449459/100000000;2,36,0,59,17,3141;2,36,0,62,20,2556
25;C;2,3;40941783/100000000;4,4094,5929,121,4796,709086;4,4094,5937,0,4656,3275359
25;L;3,4;40941783/100000000,1867247/5000000;4,4094,5937,0,4656,3275359;2,37,60,0,39,758
25;C;4,6;36449459/100000000;2,36,60,0,39,558;2,36,61,0,31,1557
25;C;6,10;36449459/100000000;2,36,61,0,31,1557;2,36,62,0,20,2556
26;C;0,13;36449459/100000000;2,36,0,48,18,4248;2,36,0,51,19,3877
27;C;0,13;36449459/100000000;2,36,0,49,16,4287;2,36,0,51,19,3877
28;C;10,13;37149719/100000000;2,37,0,62,20,2756;2,37,0,51,19,4077
29;C;0,2;20312963/50000000;2,40,0,0,59,1038;2,40,0,0,60,800
30;C;0,4;1867247/5000000;2,37,0,0,59,438;2,37,0,0,60,200
30;C;4,6;36449459/100000000;2,36,0,0,60,0;6,364494,0,0,603700,80620000
30;L;6,7;36449459/100000000,36578507/100000000;6,364494,0,0,603700,80620000;10,3657850700,0,0,6048016757,614094405902
30;L;7,8;36578507/100000000,37051569/100000000;10,3657850700,0,0,6048016757,614094405902;8,37051569,0,0,60870000,0
30;L;8,9;37051569/100000000,18633671/50000000;8,37051569,0,0,60870000,0;10,3726734200,0,0,6104698349,135433348398
31;C;0,2;20312963/50000000;2,40,0,0,59,1038;2,40,0,0,60,800
32;C;0,4;1867247/5000000;2,37,0,0,59,438;2,37,0,0,60,200
32;C;4,6;36449459/100000000;2,36,0,0,60,0;6,364494,0,0,603700,80620000
32;L;6,7;36449459/100000000,36578507/100000000;6,364494,0,0,603700,80620000;10,3657850700,0,0,6048016757,614094405902
32;L;7,8;36578507/100000000,37051569/100000000;10,3657850700,0,0,6048016757,614094405902;8,37051569,0,0,60870000,0
32;L;8,9;37051569/100000000,18633671/50000000;8,37051569,0,0,60870000,0;10,3726734200,0,0,6104698349,135433348398
33;C;2,5;18589587/50000000;2,37,0,0,60,200;2,37,0,0,60,200
33;C;5,6;36449459/100000000;2,36,0,0,60,0;6,364494,0,0,603700,80620000
33;L;6,7;36449459/100000000,36578507/100000000;6,364494,0,0,603700,80620000;10,3657850700,0,0,6048016757,614094405902
33;L;7,8;36578507/100000000,37051569/100000000;10,3657850700,0,0,6048016757,614094405902;8,37051569,0,0,60870000,0
33;L;8,9;37051569/100000000,18633671/50000000;8,37051569,0,0,60870000,0;10,3726734200,0,0,6104698349,135433348398
34;C;0,30;21270067/100000000;2,21,0,0,40,1000;10,2127006700,0,0,4611948282,88314496952
35;C;0,30;21270067/100000000;2,21,0,0,43,502;10,2127006700,0,0,4611948282,88314496952
36;C;9,11;18633671/50000000;10,3726734200,0,0,6104698349,135433348398;4,3726,0,0,6042,1508472
36;C;11,12;37662769/100000000;4,3766,0,0,6042,2308472;4,3766,0,0,6032,2549952
36;C;12,13;37149719/100000000;4,3714,0,0,6032,1509952;4,3714,0,0,6020,1799200
36;L;13,14;36228611/100000000,17670741/50000000;10,3622861100,0,0,6019020758,229530210872;10,3534148200,0,0,5944870221,110934822318
36;L;14,15;17670741/50000000,34196429/100000000;10,3534148200,0,0,5944870221,110934822318;10,3419642900,0,0,5847771241,1025866639838
36;L;15,16;34196429/100000000,8280439/25000000;10,3419642900,0,0,5847771241,1025866639838;10,3312175600,0,0,5755150380,207171711200
36;L;16,17;8280439/25000000,4133779/12500000;10,3312175600,0,0,5755150380,207171711200;8,33070232,0,0,57506723,19602542
36;L;17,18;4133779/12500000,31962891/100000000;8,33070232,0,0,57506723,19602542;10,3196289100,0,0,5653573282,290111496952
36;L;18,19;31962891/100000000,30874407/100000000;10,3196289100,0,0,5653573282,290111496952;10,3087440700,0,0,5556474302,662427225592
36;L;19,20;30874407/100000000,29804779/100000000;10,3087440700,0,0,5556474302,662427225592;10,2980477900,0,0,5459375322,187074792632
36;L;20,21;29804779/100000000,3594251/12500000;10,2980477900,0,0,5459375322,187074792632;10,2875400800,0,0,5362276343,842605092702
36;L;21,22;3594251/12500000,28457737/100000000;10,2875400800,0,0,5362276343,842605092702;8,28457737,0,0,53345793,138402302
36;L;22,23;28457737/100000000,27722093/100000000;8,28457737,0,0,53345793,138402302;10,2772209300,0,0,5265177363,672304732462
36;L;23,24;27722093/100000000,5341807/20000000;10,2772209300,0,0,5265177363,672304732462;8,26709035,0,0,51680784,130290688
36;L;24,25;5341807/20000000,25714833/100000000;8,26709035,0,0,51680784,130290688;10,2571483300,0,0,5070979403,1788699527182
36;L;25,26;25714833/100000000,24739487/100000000;10,2571483300,0,0,5070979403,1788699527182;10,2473948700,0,0,4973880423,1075394682142
36;L;26,27;24739487/100000000,11891499/50000000;10,2473948700,0,0,4973880423,1075394682142;8,23782998,0,0,48767815,40251550
36;L;27,28;11891499/50000000,4569073/20000000;8,23782998,0,0,48767815,40251550;8,22845365,0,0,47796825,39838750
36;L;28,29;4569073/20000000,21926589/100000000;8,22845365,0,0,47796825,39838750;8,21926589,0,0,46825835,153105550
36;L;29,30;21926589/100000000,21270067/100000000;8,21926589,0,0,46825835,153105550;10,2127006700,0,0,4611948282,88314496952
37;C;0,2;20312963/50000000;2,40,48,59,0,2215;2,40,48,60,0,2096
38;C;0,16;8280439/25000000;2,33,21,59,0,2678;2,33,22,63,0,2147
39;C;0,2;20312963/50000000;2,40,59,49,0,2118;2,40,60,48,0,2096
40;C;0,16;8280439/25000000;2,33,21,59,0,2678;2,33,22,63,0,2147
41;C;2,16;8280439/25000000;2,33,60,48,0,696;2,33,63,22,0,2147
42;C;0,30;21270067/100000000;2,21,21,21,0,3318;2,21,25,25,0,2950
43;C;0,30;21270067/100000000;2,21,21,21,0,3318;2,21,25,25,0,2950
44;C;16,23;27722093/100000000;2,27,22,63,0,947;2,27,23,47,0,2662
44;C;23,30;21270067/100000000;2,21,23,47,0,1462;2,21,25,25,0,2950
45;C;0,2;20312963/50000000;2,40,0,59,29,2837;2,40,0,60,30,2600
46;C;0,16;8280439/25000000;2,33,0,59,14,2727;2,33,0,63,15,2181
47;C;0,2;20312963/50000000;2,40,0,59,29,2837;2,40,0,60,30,2600
48;C;0,16;8280439/25000000;2,33,0,59,10,2919;2,33,0,63,15,2181
49;C;2,16;8280439/25000000;2,33,60,0,30,1200;2,33,63,0,15,2181
50;C;0,30;21270067/100000000;2,21,0,21,12,3471;2,21,0,25,14,3183
51;C;0,30;21270067/100000000;2,21,0,21,4,3727;2,21,0,25,14,3183
52;C;16,23;27722093/100000000;2,27,0,63,15,981;2,27,0,47,15,2741
52;C;23,30;21270067/100000000;2,21,0,47,15,1541;2,21,0,25,14,3183
53;C;0,2;20312963/50000000;2,40,0,0,47,3582;2,40,0,0,47,3582
54;C;0,22;28457737/100000000;2,28,0,0,32,3552;2,28,0,0,36,3008
55;C;0,2;20312963/50000000;2,40,0,0,47,3582;2,40,0,0,47,3582
56;C;0,22;28457737/100000000;2,28,0,0,34,3288;2,28,0,0,36,3008
57;C;2,22;28457737/100000000;2,28,0,0,47,1182;2,28,0,0,36,3008
58;C;0,2;20312963/50000000;2,40,17,53,0,4902;2,40,17,53,0,4902
59;C;0,22;28457737/100000000;2,28,17,17,0,5022;2,28,19,19,0,4878
60;C;0,2;20312963/50000000;2,40,17,53,0,4902;2,40,17,53,0,4902
61;C;0,22;28457737/100000000;2,28,17,17,0,5022;2,28,19,19,0,4878
62;C;2,22;28457737/100000000;2,28,17,53,0,2502;2,28,19,19,0,4878
63;C;0,2;20312963/50000000;2,40,0,53,11,4949;2,40,0,53,11,4949
64;C;0,22;28457737/100000000;2,28,0,17,10,5111;2,28,0,19,11,4997
65;C;0,2;20312963/50000000;2,40,0,53,10,4991;2,40,0,53,11,4949
66;C;0,22;28457737/100000000;2,28,0,17,4,5279;2,28,0,19,11,4997
67;C;2,22;28457737/100000000;2,28,0,53,11,2549;2,28,0,19,11,4997
MASS SLACK NUMERATOR 8616031793366457747303282345960517940510132444249147869289813395100878972327406475822595611349

BIN 32: PQP; (47/40,19/16]; gamma0=5853/10000; mass ceiling=96861391/100000000.
GAMMA 0=5853/10000;1=12815381250/21727592081;2=5903/10000;3=37771650000/63532414949;4=5953/10000;5=6003/10000;6=25181100000/41712991799;7=11241562500/18579954581;8=6053/10000;9=23382450000/38595931349;10=5620781250/9259350281;11=6103/10000;12=6153/10000;13=6203/10000;14=9892575000/15881979581;15=6253/10000;16=6303/10000;17=6353/10000;18=6403/10000;19=5058703125/7846111003;20=6453/10000;21=6503/10000;22=6553/10000;23=6603/10000;24=6653/10000;25=6703/10000;26=6753/10000;27=7419431250/10935692081;28=6803/10000;29=6853/10000;30=6903/10000;31=6953/10000;32=7003/10000;33=7053/10000;34=7103/10000;35=7153/10000;36=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40293664,40893143;1,2,40893143,40244776;2,3,40244776,36402093;3,4,36402093,36062514;4,5,36062514,36036009;5,6,36036009,36442379;6,7,36442379,36606994;7,8,36606994,36638809;8,9,36638809,36702613;9,10,36702613,36073000;10,11,36073000,35211126;11,12,35211126,33910111;12,13,33910111,32633587;13,14,32633587,31984359;14,15,31984359,31381552;15,16,31381552,30154008;16,17,30154008,28950954;17,18,28950954,27772389;18,19,27772389,26746310;19,20,26746310,26618316;20,21,26618316,25488732;21,22,25488732,24383638;22,23,24383638,23303035;23,24,23303035,22246922;24,25,22246922,21215298;25,26,21215298,20208165;26,27,20208165,19584259;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;18610531631/5395950000,1/3,21727592081/10791900000;-30399532150031
1;0,3,7;7/24,2,1;-2
3;0,3,7;23/24,2,1;-1
4;2,3,7;19/24,7/3,25/48;-31
8;1,3,6;23/24,10/3,19/16;-23
10;10;1;-1
12;10;1;-1
13;2,3,10;7/4,1/3,25/48;-1
18;1,4,13;18610531631/5395950000,1/3,21727592081/10791900000;-30399532150031
19;0,3,13;23/24,2,1;-1
21;0,3,13;7/24,2,1;-2
22;2,3,13;19/24,7/3,25/48;-31
26;1,3,12;23/24,10/3,19/16;-23
27;0,1,7;2/3,2,1;-1
28;0,3,7;7/24,2,1;-2
30;0,3,7;23/24,2,1;-1
31;2,3,7;43/24,7/3,11/16;-23
35;1,3,6;23/24,10/3,19/16;-23
36;1,4,10;10935692081/2697975000,2,21727592081/10791900000;-6417532150031
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;23/24,2,1;-1
48;0,3,13;7/24,2,1;-2
49;2,3,13;43/24,7/3,11/16;-23
53;1,3,12;23/24,10/3,19/16;-23
54;0,1,7;5/3,2,1;-1
55;0,3,7;7/24,2,1;-2
56;1,4,7;2917160489/674493750,5/3,21727592081/10791900000;-12413032150031
57;0,3,7;23/24,2,1;-1
58;2,3,7;67/24,17/6,15/16;-23
60;1,4,12;7846111003/1348987500,1,21727592081/10791900000;-6417532150031
62;1,3,6;23/24,10/3,19/16;-23
63;1,4,6;7846111003/1348987500,1,21727592081/10791900000;-6417532150031
64;10;1;-1
65;1,4,6;7846111003/1348987500,1,21727592081/10791900000;-6417532150031
66;10;1;-1
69;1,4,12;7846111003/1348987500,1,21727592081/10791900000;-6417532150031
72;0,1,13;5/3,2,1;-1
73;0,3,13;23/24,2,1;-1
74;1,4,6;7846111003/1348987500,1,21727592081/10791900000;-6417532150031
75;0,3,13;7/24,2,1;-2
76;2,3,13;67/24,17/6,15/16;-23
78;1,4,9;2917160489/674493750,5/3,21727592081/10791900000;-12413032150031
80;1,3,12;23/24,10/3,19/16;-23
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;5238485599504,63564204260020112775000,7922513814303,248
5;8,4,2,3;7922513814303,211770528117282225000,32205364884912,24
6;5,4,12,3;1953758434501,337246875,7664859000453,4
7;11,4,2,3;7664859000453,2048434955077160278125,32205364884912,36
9;1,4,10,3;5238485599504,7803196508755028193750,1953758434501,40
11;1,4,6,3;5238485599504,22099271005940014096875,7664859000453,116
14;5,4,2,3;7664859000453,2048434955077160278125,32205364884912,36
15;1,4,12,3;5238485599504,22099271005940014096875,7664859000453,116
16;11,4,2,3;7664859000453,2048434955077160278125,32205364884912,36
17;8,4,2,3;7922513814303,211770528117282225000,32205364884912,24
20;11,4,6,3;1953758434501,337246875,7664859000453,4
23;5,4,2,3;7664859000453,2048434955077160278125,32205364884912,36
24;1,4,9,3;5238485599504,63564204260020112775000,7922513814303,248
25;8,4,2,3;7922513814303,211770528117282225000,32205364884912,24
29;1,4,7,3;5238485599504,30074153845040225550000,7334301674814,56
32;8,4,2,3;7334301674814,50422644982404774450000,54334435999504,136
33;1,4,12,3;5238485599504,79739913372520112775000,5968523512407,52
34;11,4,2,3;5968523512407,2697975000,54334435999504,4
38;1,4,6,3;5238485599504,79739913372520112775000,5968523512407,52
41;5,4,2,3;5968523512407,2697975000,54334435999504,4
42;1,4,12,3;5238485599504,79739913372520112775000,5968523512407,52
43;11,4,2,3;5968523512407,2697975000,54334435999504,4
44;8,4,2,3;7334301674814,50422644982404774450000,54334435999504,136
47;1,4,6,3;5238485599504,79739913372520112775000,5968523512407,52
50;5,4,2,3;5968523512407,2697975000,54334435999504,4
51;1,4,9,3;5238485599504,30074153845040225550000,7334301674814,56
52;8,4,2,3;7334301674814,50422644982404774450000,54334435999504,136
59;1,4,2,3;5238485599504,48527127337500000000000,24873298930352,64
61;1,4,2,3;5238485599504,48527127337500000000000,24873298930352,64
68;1,4,2,3;5238485599504,48527127337500000000000,24873298930352,64
70;1,4,2,3;5238485599504,48527127337500000000000,24873298930352,64
71;1,4,2,3;5238485599504,48527127337500000000000,24873298930352,64
77;1,4,2,3;5238485599504,48527127337500000000000,24873298930352,64
79;1,4,2,3;5238485599504,48527127337500000000000,24873298930352,64
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/9;E/4,1/2/0/1;E/4,7/3/0/9;E/4,3/4/1/9
5:V/3,8/1/0/9;V/2,3/5/0/10;E/4,8/3/0/9;E/4,2/6/0/10;E/4,3/7/9/10
6:V/3,5/8/0/3;V/12,3/9/0/6;E/4,5/10/0/3;E/4,12/11/0/6;E/4,3/12/3/6
7:V/3,11/9/0/6;V/2,3/13/0/10;E/4,11/11/0/6;E/4,2/14/0/10;E/4,3/15/6/10
9:V/3,1/16/0/1;V/10,3/8/0/3;E/4,1/17/0/1;E/4,10/10/0/3;E/4,3/18/1/3
11:V/3,1/19/0/1;V/6,3/20/0/6;E/4,1/21/0/1;E/4,6/22/0/6;E/4,3/23/1/6
14:V/3,5/20/0/6;V/2,3/24/0/10;E/4,5/22/0/6;E/4,2/25/0/10;E/4,3/26/6/10
15:V/3,1/19/0/1;V/12,3/20/0/6;E/4,1/21/0/1;E/4,12/22/0/6;E/4,3/23/1/6
16:V/3,11/20/0/6;V/2,3/24/0/10;E/4,11/22/0/6;E/4,2/25/0/10;E/4,3/26/6/10
17:V/3,8/1/0/9;V/2,3/5/0/10;E/4,8/3/0/9;E/4,2/6/0/10;E/4,3/7/9/10
20:V/3,11/8/0/3;V/6,3/9/0/6;E/4,11/10/0/3;E/4,6/11/0/6;E/4,3/12/3/6
23:V/3,5/9/0/6;V/2,3/13/0/10;E/4,5/11/0/6;E/4,2/14/0/10;E/4,3/15/6/10
24:V/3,1/0/0/1;V/9,3/1/0/9;E/4,1/2/0/1;E/4,9/3/0/9;E/4,3/4/1/9
25:V/3,8/1/0/9;V/2,3/5/0/10;E/4,8/3/0/9;E/4,2/6/0/10;E/4,3/7/9/10
29:V/3,1/27/0/1;V/7,3/28/0/7;E/4,1/29/0/1;E/4,7/30/0/7;E/4,3/31/1/7
32:V/3,8/28/0/7;V/2,3/32/0/27;E/4,8/30/0/7;E/4,2/33/0/27;E/4,3/34/7/27
33:V/3,1/35/0/1;V/12,3/36/0/14;E/4,1/37/0/1;E/4,12/38/0/14;E/4,3/39/1/14
34:V/3,11/36/0/14;V/2,3/40/0/27;E/4,11/38/0/14;E/4,2/41/0/27;E/4,3/42/14/27
38:V/3,1/43/0/1;V/6,3/44/0/14;E/4,1/45/0/1;E/4,6/46/0/14;E/4,3/47/1/14
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/14;V/2,3/48/0/27;E/4,5/46/0/14;E/4,2/49/0/27;E/4,3/50/14/27
42:V/3,1/43/0/1;V/12,3/44/0/14;E/4,1/45/0/1;E/4,12/46/0/14;E/4,3/47/1/14
43:V/3,11/44/0/14;V/2,3/48/0/27;E/4,11/46/0/14;E/4,2/49/0/27;E/4,3/50/14/27
44:V/3,8/28/0/7;V/2,3/32/0/27;E/4,8/30/0/7;E/4,2/33/0/27;E/4,3/34/7/27
47:V/3,1/35/0/1;V/6,3/36/0/14;E/4,1/37/0/1;E/4,6/38/0/14;E/4,3/39/1/14
50:V/3,5/36/0/14;V/2,3/40/0/27;E/4,5/38/0/14;E/4,2/41/0/27;E/4,3/42/14/27
51:V/3,1/27/0/1;V/9,3/28/0/7;E/4,1/29/0/1;E/4,9/30/0/7;E/4,3/31/1/7
52:V/3,8/28/0/7;V/2,3/32/0/27;E/4,8/30/0/7;E/4,2/33/0/27;E/4,3/34/7/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;1259177/3125000,40893143/100000000;4,4029,0,3468,5853,37758;10,4089314300,0,3494083398,5898205932,775260796348
1;C;0,4;18031257/50000000;2,36,0,0,59,238;2,36,0,0,60,0
1;C;4,5;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
1;L;5,6;36036009/100000000,36442379/100000000;8,36036009,0,0,60030000,0;10,3644237900,0,0,6036752320,853949235200
1;L;6,7;36442379/100000000,18303497/50000000;10,3644237900,0,0,6036752320,853949235200;10,3660699400,0,0,6050371357,884787957102
1;L;7,8;18303497/50000000,36638809/100000000;10,3660699400,0,0,6050371357,884787957102;8,36638809,0,0,60530000,0
1;L;8,9;36638809/100000000,36702613/100000000;8,36638809,0,0,60530000,0;10,3670261300,0,0,6058268109,1038947128238
2;L;0,1;1259177/3125000,40893143/100000000;8,40293664,0,34744942,58530000,5416636;10,4089314300,0,3494083398,5898205932,775260796348
3;C;0,4;18031257/50000000;2,36,0,0,59,238;2,36,0,0,60,0
3;C;4,5;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
3;L;5,6;36036009/100000000,36442379/100000000;8,36036009,0,0,60030000,0;10,3644237900,0,0,6036752320,853949235200
3;L;6,7;36442379/100000000,18303497/50000000;10,3644237900,0,0,6036752320,853949235200;10,3660699400,0,0,6050371357,884787957102
3;L;7,8;18303497/50000000,36638809/100000000;10,3660699400,0,0,6050371357,884787957102;8,36638809,0,0,60530000,0
3;L;8,9;36638809/100000000,36702613/100000000;8,36638809,0,0,60530000,0;10,3670261300,0,0,6058268109,1038947128238
4;L;1,2;40893143/100000000,5030597/12500000;10,4089314300,0,3494083398,5898205932,775260796348;8,40244776,0,32861426,59030000,81246524
4;L;2,3;5030597/12500000,36402093/100000000;8,40244776,0,32861426,59030000,81246524;10,3640209300,0,1453284911,5945256454,359802413847
4;L;3,4;36402093/100000000,18031257/50000000;10,3640209300,0,1453284911,5945256454,359802413847;8,36062514,0,11174116,59530000,131618544
4;L;4,5;18031257/50000000,36036009/100000000;8,36062514,0,11174116,59530000,131618544;8,36036009,0,0,60030000,0
4;L;5,6;36036009/100000000,36442379/100000000;8,36036009,0,0,60030000,0;10,3644237900,0,0,6036752320,853949235200
4;L;6,7;36442379/100000000,18303497/50000000;10,3644237900,0,0,6036752320,853949235200;10,3660699400,0,0,6050371357,884787957102
4;L;7,8;18303497/50000000,36638809/100000000;10,3660699400,0,0,6050371357,884787957102;8,36638809,0,0,60530000,0
4;L;8,9;36638809/100000000,36702613/100000000;8,36638809,0,0,60530000,0;10,3670261300,0,0,6058268109,1038947128238
5;C;0,10;36036009/100000000;2,36,0,0,58,472;2,36,0,0,60,0
6;C;0,10;36036009/100000000;2,36,0,0,59,238;2,36,0,0,60,0
7;L;9,10;36702613/100000000,36073/100000;10,3670261300,0,0,6058268109,1038947128238;2,36,0,0,60,0
8;C;0,3;36402093/100000000;2,36,59,59,2,230;4,3640,5946,5946,170,2032368
9;C;0,6;36036009/100000000;2,36,26,59,0,3043;2,36,27,61,0,2750
10;C;0,3;36402093/100000000;2,36,59,59,0,238;4,3640,5946,5946,170,2032368
11;C;0,6;36036009/100000000;2,36,26,59,0,3043;2,36,27,61,0,2750
12;C;3,6;36036009/100000000;4,3603,5946,5946,170,1292368;2,36,61,27,0,2750
13;C;0,10;36036009/100000000;2,36,26,47,0,4315;2,36,27,49,0,4070
14;C;0,10;36036009/100000000;2,36,26,48,0,4220;2,36,27,49,0,4070
15;C;6,10;36073/100000;2,36,27,61,0,2750;2,36,27,49,0,4070
16;C;0,1;1259177/3125000;2,40,59,59,17,460;2,40,59,59,17,460
17;C;0,1;1259177/3125000;2,40,59,59,17,460;2,40,59,59,17,460
18;C;1,2;5030597/12500000;2,40,59,59,17,460;2,40,60,60,16,288
18;L;2,3;5030597/12500000,36402093/100000000;2,40,60,60,16,288;4,3640,5946,5946,170,2032368
19;C;0,1;1259177/3125000;2,40,0,59,47,101;2,40,0,59,47,101
20;C;0,6;36036009/100000000;2,36,0,59,18,3071;2,36,0,61,18,2831
21;C;0,1;1259177/3125000;2,40,0,59,47,101;2,40,0,59,47,101
22;C;0,6;36036009/100000000;2,36,0,59,16,3207;2,36,0,61,18,2831
23;C;1,2;5030597/12500000;2,40,59,0,47,101;2,40,60,0,46,168
23;L;2,3;5030597/12500000,36402093/100000000;2,40,60,0,46,168;2,36,60,0,37,862
23;C;3,6;36036009/100000000;2,36,60,0,37,862;2,36,61,0,18,2831
24;C;0,10;36036009/100000000;2,36,0,47,17,4413;2,36,0,49,17,4221
25;C;0,10;36036009/100000000;2,36,0,48,15,4446;2,36,0,49,17,4221
26;C;6,10;36073/100000;2,36,0,61,18,2831;2,36,0,49,17,4221
27;C;0,1;1259177/3125000;2,40,0,0,59,1038;2,40,0,0,59,1038
28;C;0,3;36402093/100000000;2,36,0,0,59,238;2,36,0,0,60,0
28;C;3,5;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
28;L;5,6;36036009/100000000,36442379/100000000;8,36036009,0,0,60030000,0;10,3644237900,0,0,6036752320,853949235200
28;L;6,7;36442379/100000000,18303497/50000000;10,3644237900,0,0,6036752320,853949235200;10,3660699400,0,0,6050371357,884787957102
29;C;0,1;1259177/3125000;2,40,0,0,59,1038;2,40,0,0,59,1038
30;C;0,3;36402093/100000000;2,36,0,0,59,238;2,36,0,0,60,0
30;C;3,5;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
30;L;5,6;36036009/100000000,36442379/100000000;8,36036009,0,0,60030000,0;10,3644237900,0,0,6036752320,853949235200
30;L;6,7;36442379/100000000,18303497/50000000;10,3644237900,0,0,6036752320,853949235200;10,3660699400,0,0,6050371357,884787957102
31;C;1,4;18031257/50000000;2,36,0,0,59,238;2,36,0,0,60,0
31;C;4,5;36036009/100000000;2,36,0,0,60,0;8,36036009,0,0,60030000,0
31;L;5,6;36036009/100000000,36442379/100000000;8,36036009,0,0,60030000,0;10,3644237900,0,0,6036752320,853949235200
31;L;6,7;36442379/100000000,18303497/50000000;10,3644237900,0,0,6036752320,853949235200;10,3660699400,0,0,6050371357,884787957102
32;C;0,27;19584259/100000000;2,19,0,0,39,758;8,19584259,0,0,44254106,4281528
33;C;0,27;19584259/100000000;2,19,0,0,42,272;8,19584259,0,0,44254106,4281528
34;C;7,9;18303497/50000000;10,3660699400,0,0,6050371357,884787957102;4,3660,0,0,6033,405822
34;L;9,10;36702613/100000000,36073/100000;4,3670,0,0,6033,605822;10,3607300000,0,0,6006080220,781849503200
34;L;10,11;36073/100000,17605563/50000000;10,3607300000,0,0,6006080220,781849503200;10,3521112600,0,0,5933896311,1140601182558
34;L;11,12;17605563/50000000,33910111/100000000;10,3521112600,0,0,5933896311,1140601182558;10,3391011100,0,0,5823238845,708166131950
34;L;12,13;33910111/100000000,32633587/100000000;10,3391011100,0,0,5823238845,708166131950;8,32633587,0,0,57125814,149674808
34;L;13,14;32633587/100000000,31984359/100000000;8,32633587,0,0,57125814,149674808;10,3198435900,0,0,5655471594,98918198328
34;L;14,15;31984359/100000000,1961347/6250000;10,3198435900,0,0,5655471594,98918198328;10,3138155200,0,0,5601923914,923509841208
34;L;15,16;1961347/6250000,3769251/12500000;10,3138155200,0,0,5601923914,923509841208;8,30154008,0,0,54912665,45195550
34;L;16,17;3769251/12500000,14475477/50000000;8,30154008,0,0,54912665,45195550;8,28950954,0,0,53806090,157823800
34;L;17,18;14475477/50000000,27772389/100000000;8,28950954,0,0,53806090,157823800;10,2777238900,0,0,5269951517,16938797422
34;L;18,19;27772389/100000000,2674631/10000000;10,2777238900,0,0,5269951517,16938797422;10,2674631000,0,0,5171683409,1434148277438
34;L;19,20;2674631/10000000,6654579/25000000;10,2674631000,0,0,5171683409,1434148277438;8,26618316,0,0,51592941,77941038
34;L;20,21;6654579/25000000,6372183/25000000;8,26618316,0,0,51592941,77941038;8,25488732,0,0,50486366,96228088
34;L;21,22;6372183/25000000,12191819/50000000;8,25488732,0,0,50486366,96228088;10,2438363800,0,0,4937979121,401136134718
34;L;22,23;12191819/50000000,4660607/20000000;10,2438363800,0,0,4937979121,401136134718;8,23303035,0,0,48273217,40941822
34;L;23,24;4660607/20000000,11123461/50000000;8,23303035,0,0,48273217,40941822;8,22246922,0,0,47166642,164887672
34;L;24,25;11123461/50000000,10607649/50000000;8,22246922,0,0,47166642,164887672;10,2121529800,0,0,4606006724,116933575648
34;L;25,26;10607649/50000000,4041633/20000000;10,2121529800,0,0,4606006724,116933575648;10,2020816500,0,0,4495349258,97197698872
34;L;26,27;4041633/20000000,19584259/100000000;10,2020816500,0,0,4495349258,97197698872;8,19584259,0,0,44254106,4281528
35;C;0,1;1259177/3125000;2,40,47,59,0,2310;2,40,47,59,0,2310
36;C;0,14;31984359/100000000;2,31,20,59,0,2319;2,31,21,63,0,1790
37;C;0,1;1259177/3125000;2,40,59,47,0,2310;2,40,59,47,0,2310
38;C;0,14;31984359/100000000;2,31,20,59,0,2319;2,31,21,63,0,1790
39;C;1,14;31984359/100000000;2,31,59,47,0,510;2,31,63,21,0,1790
40;C;0,27;19584259/100000000;2,19,20,20,0,3000;2,19,23,23,0,2742
41;C;0,27;19584259/100000000;2,19,20,20,0,3000;2,19,23,23,0,2742
42;C;14,20;6654579/25000000;2,26,21,63,0,790;2,26,21,47,0,2550
42;C;20,27;19584259/100000000;2,19,21,47,0,1150;2,19,23,23,0,2742
43;C;0,1;1259177/3125000;2,40,0,59,28,2951;2,40,0,59,28,2951
44;C;0,14;31984359/100000000;2,31,0,59,13,2381;2,31,0,63,14,1839
45;C;0,1;1259177/3125000;2,40,0,59,28,2951;2,40,0,59,28,2951
46;C;0,14;31984359/100000000;2,31,0,59,10,2519;2,31,0,63,14,1839
47;C;1,14;31984359/100000000;2,31,59,0,28,1151;2,31,63,0,14,1839
48;C;0,27;19584259/100000000;2,19,0,20,11,3158;2,19,0,23,13,2933
49;C;0,27;19584259/100000000;2,19,0,20,4,3368;2,19,0,23,13,2933
50;C;14,20;6654579/25000000;2,26,0,63,14,839;2,26,0,47,14,2599
50;C;20,27;19584259/100000000;2,19,0,47,14,1199;2,19,0,23,13,2933
51;C;0,1;1259177/3125000;2,40,0,0,46,3768;2,40,0,0,46,3768
52;C;0,19;2674631/10000000;2,26,0,0,31,3278;2,26,0,0,34,2888
53;C;0,1;1259177/3125000;2,40,0,0,46,3768;2,40,0,0,46,3768
54;C;0,19;2674631/10000000;2,26,0,0,33,3022;2,26,0,0,34,2888
55;C;1,19;2674631/10000000;2,26,0,0,46,968;2,26,0,0,34,2888
56;C;0,1;1259177/3125000;2,40,16,52,0,5040;2,40,16,53,0,4935
57;C;0,19;2674631/10000000;2,26,16,16,0,4688;2,26,17,17,0,4622
58;C;0,1;1259177/3125000;2,40,16,52,0,5040;2,40,16,53,0,4935
59;C;0,19;2674631/10000000;2,26,16,16,0,4688;2,26,17,17,0,4622
60;C;1,19;2674631/10000000;2,26,16,53,0,2135;2,26,17,17,0,4622
61;C;0,1;1259177/3125000;2,40,0,52,10,5096;2,40,0,53,10,4991
62;C;0,19;2674631/10000000;2,26,0,16,9,4782;2,26,0,17,10,4711
63;C;0,1;1259177/3125000;2,40,0,52,10,5096;2,40,0,53,10,4991
64;C;0,19;2674631/10000000;2,26,0,16,4,4912;2,26,0,17,10,4711
65;C;1,19;2674631/10000000;2,26,0,53,10,2191;2,26,0,17,10,4711
MASS SLACK NUMERATOR 4113859993693295736521961813162073280570938108036238194304865060716293905164852239360233619277

BIN 33: PQP; (19/16,6/5]; gamma0=587/1000; mass ceiling=973849/1000000.
GAMMA 0=587/1000;1=12950280000/21896342081;2=74/125;3=9712710000/16285633271;4=597/1000;5=301/500;6=11511360000/19018502081;7=6475140000/10674924461;8=607/1000;9=6115410000/10051512371;10=5755680000/9428100281;11=153/250;12=617/1000;13=311/500;14=10072440000/16140662081;15=627/1000;16=79/125;17=637/1000;18=321/500;19=5126152500/7930486003;20=647/1000;21=163/250;22=657/1000;23=331/500;24=667/1000;25=84/125;26=677/1000;27=7554330000/11104442081;28=341/500;29=687/1000;30=173/250;31=697/1000;32=351/500;33=707/1000;34=89/125;35=717/1000;36=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,40251116,40836931;1,2,40836931,40162594;2,3,40162594,36626309;3,4,36626309,36379160;4,5,36379160,36240400;5,6,36240400,36635377;6,7,36635377,36793297;7,8,36793297,36844900;8,9,36844900,37015902;9,10,37015902,35220620;10,11,35220620,34813479;11,12,34813479,33489679;12,13,33489679,32191537;13,14,32191537,31668930;14,15,31668930,30919055;15,16,30919055,29672233;16,17,29672233,28451070;17,18,28451070,27255566;18,19,27255566,26228073;19,20,26228073,26085721;20,21,26085721,24941536;21,22,24941536,23823010;22,23,23823010,22730143;23,24,22730143,21662935;24,25,21662935,20621387;25,26,20621387,19605499;26,27,19605499,18949458;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0;35,36,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;18779281631/5395950000,1/3,21896342081/10791900000;-9255852801547
1;0,3,7;4/15,2,1;-2
3;0,3,7;14/15,2,1;-1
4;2,3,7;13/15,7/3,8/15;-19
8;1,3,6;14/15,10/3,6/5;-14
10;10;1;-1
12;10;1;-1
13;2,3,10;9/5,1/3,8/15;-1
18;1,4,13;18779281631/5395950000,1/3,21896342081/10791900000;-9255852801547
19;0,3,13;14/15,2,1;-1
21;0,3,13;4/15,2,1;-2
22;2,3,13;13/15,7/3,8/15;-19
26;1,3,12;14/15,10/3,6/5;-14
27;0,1,7;2/3,2,1;-1
28;0,3,7;4/15,2,1;-2
30;0,3,7;14/15,2,1;-1
31;2,3,7;28/15,7/3,7/10;-14
35;1,3,6;14/15,10/3,6/5;-14
36;1,4,10;11104442081/2697975000,2,21896342081/10791900000;-2061252801547
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;14/15,2,1;-1
48;0,3,13;4/15,2,1;-2
49;2,3,13;28/15,7/3,7/10;-14
53;1,3,12;14/15,10/3,6/5;-14
54;0,1,7;5/3,2,1;-1
55;0,3,7;4/15,2,1;-2
56;1,4,7;2959347989/674493750,5/3,21896342081/10791900000;-3859902801547
57;0,3,7;14/15,2,1;-1
58;2,3,7;43/15,17/6,19/20;-14
60;1,4,12;7930486003/1348987500,1,21896342081/10791900000;-2061252801547
62;1,3,6;14/15,10/3,6/5;-14
63;1,4,6;7930486003/1348987500,1,21896342081/10791900000;-2061252801547
64;10;1;-1
65;1,4,6;7930486003/1348987500,1,21896342081/10791900000;-2061252801547
66;10;1;-1
69;1,4,12;7930486003/1348987500,1,21896342081/10791900000;-2061252801547
72;0,1,13;5/3,2,1;-1
73;0,3,13;14/15,2,1;-1
74;1,4,6;7930486003/1348987500,1,21896342081/10791900000;-2061252801547
75;0,3,13;4/15,2,1;-2
76;2,3,13;43/15,17/6,19/20;-14
78;1,4,9;2959347989/674493750,5/3,21896342081/10791900000;-3859902801547
80;1,3,12;14/15,10/3,6/5;-14
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;485635992265,18702355141496232675000,3227583573345,95
5;8,4,2,3;3227583573345,373250987005382325000,3320777025795,15
6;5,4,12,3;765216349615,337246875,1044796706965,5
7;11,4,2,3;1044796706965,653245465094422790625,3320777025795,5
9;1,4,10,3;485635992265,2249232418499058168750,765216349615,5
11;1,4,6,3;485635992265,6583918034718279084375,1044796706965,5
14;5,4,2,3;1044796706965,653245465094422790625,3320777025795,5
15;1,4,12,3;485635992265,6583918034718279084375,1044796706965,5
16;11,4,2,3;1044796706965,653245465094422790625,3320777025795,5
17;8,4,2,3;3227583573345,373250987005382325000,3320777025795,15
20;11,4,6,3;765216349615,337246875,1044796706965,5
23;5,4,2,3;1044796706965,653245465094422790625,3320777025795,5
24;1,4,9,3;485635992265,18702355141496232675000,3227583573345,95
25;8,4,2,3;3227583573345,373250987005382325000,3320777025795,15
29;1,4,7,3;485635992265,8288433880492465350000,5212489176795,5
32;8,4,2,3;5212489176795,15761610427972534650000,10360224984530,55
33;1,4,12,3;485635992265,23555067875246232675000,8968070376795,5
34;11,4,2,3;8968070376795,2697975000,10360224984530,5
38;1,4,6,3;485635992265,23555067875246232675000,8968070376795,5
41;5,4,2,3;8968070376795,2697975000,10360224984530,5
42;1,4,12,3;485635992265,23555067875246232675000,8968070376795,5
43;11,4,2,3;8968070376795,2697975000,10360224984530,5
44;8,4,2,3;5212489176795,15761610427972534650000,10360224984530,55
47;1,4,6,3;485635992265,23555067875246232675000,8968070376795,5
50;5,4,2,3;8968070376795,2697975000,10360224984530,5
51;1,4,9,3;485635992265,8288433880492465350000,5212489176795,5
52;8,4,2,3;5212489176795,15761610427972534650000,10360224984530,55
59;1,4,2,3;485635992265,14558138201250000000000,9419144324780,25
61;1,4,2,3;485635992265,14558138201250000000000,9419144324780,25
68;1,4,2,3;485635992265,14558138201250000000000,9419144324780,25
70;1,4,2,3;485635992265,14558138201250000000000,9419144324780,25
71;1,4,2,3;485635992265,14558138201250000000000,9419144324780,25
77;1,4,2,3;485635992265,14558138201250000000000,9419144324780,25
79;1,4,2,3;485635992265,14558138201250000000000,9419144324780,25
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/9;E/4,1/2/0/1;E/4,7/3/0/9;E/4,3/4/1/9
5:V/3,8/1/0/9;V/2,3/5/0/10;E/4,8/3/0/9;E/4,2/6/0/10;E/4,3/7/9/10
6:V/3,5/8/0/3;V/12,3/9/0/7;E/4,5/10/0/3;E/4,12/11/0/7;E/4,3/12/3/7
7:V/3,11/9/0/7;V/2,3/13/0/10;E/4,11/11/0/7;E/4,2/14/0/10;E/4,3/15/7/10
9:V/3,1/16/0/1;V/10,3/8/0/3;E/4,1/17/0/1;E/4,10/10/0/3;E/4,3/18/1/3
11:V/3,1/19/0/1;V/6,3/20/0/7;E/4,1/21/0/1;E/4,6/22/0/7;E/4,3/23/1/7
14:V/3,5/20/0/7;V/2,3/24/0/10;E/4,5/22/0/7;E/4,2/25/0/10;E/4,3/26/7/10
15:V/3,1/19/0/1;V/12,3/20/0/7;E/4,1/21/0/1;E/4,12/22/0/7;E/4,3/23/1/7
16:V/3,11/20/0/7;V/2,3/24/0/10;E/4,11/22/0/7;E/4,2/25/0/10;E/4,3/26/7/10
17:V/3,8/1/0/9;V/2,3/5/0/10;E/4,8/3/0/9;E/4,2/6/0/10;E/4,3/7/9/10
20:V/3,11/8/0/3;V/6,3/9/0/7;E/4,11/10/0/3;E/4,6/11/0/7;E/4,3/12/3/7
23:V/3,5/9/0/7;V/2,3/13/0/10;E/4,5/11/0/7;E/4,2/14/0/10;E/4,3/15/7/10
24:V/3,1/0/0/1;V/9,3/1/0/9;E/4,1/2/0/1;E/4,9/3/0/9;E/4,3/4/1/9
25:V/3,8/1/0/9;V/2,3/5/0/10;E/4,8/3/0/9;E/4,2/6/0/10;E/4,3/7/9/10
29:V/3,1/27/0/1;V/7,3/28/0/6;E/4,1/29/0/1;E/4,7/30/0/6;E/4,3/31/1/6
32:V/3,8/28/0/6;V/2,3/32/0/27;E/4,8/30/0/6;E/4,2/33/0/27;E/4,3/34/6/27
33:V/3,1/35/0/1;V/12,3/36/0/14;E/4,1/37/0/1;E/4,12/38/0/14;E/4,3/39/1/14
34:V/3,11/36/0/14;V/2,3/40/0/27;E/4,11/38/0/14;E/4,2/41/0/27;E/4,3/42/14/27
38:V/3,1/43/0/1;V/6,3/44/0/14;E/4,1/45/0/1;E/4,6/46/0/14;E/4,3/47/1/14
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/14;V/2,3/48/0/27;E/4,5/46/0/14;E/4,2/49/0/27;E/4,3/50/14/27
42:V/3,1/43/0/1;V/12,3/44/0/14;E/4,1/45/0/1;E/4,12/46/0/14;E/4,3/47/1/14
43:V/3,11/44/0/14;V/2,3/48/0/27;E/4,11/46/0/14;E/4,2/49/0/27;E/4,3/50/14/27
44:V/3,8/28/0/6;V/2,3/32/0/27;E/4,8/30/0/6;E/4,2/33/0/27;E/4,3/34/6/27
47:V/3,1/35/0/1;V/6,3/36/0/14;E/4,1/37/0/1;E/4,6/38/0/14;E/4,3/39/1/14
50:V/3,5/36/0/14;V/2,3/40/0/27;E/4,5/38/0/14;E/4,2/41/0/27;E/4,3/42/14/27
51:V/3,1/27/0/1;V/9,3/28/0/6;E/4,1/29/0/1;E/4,9/30/0/6;E/4,3/31/1/6
52:V/3,8/28/0/6;V/2,3/32/0/27;E/4,8/30/0/6;E/4,2/33/0/27;E/4,3/34/6/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;10062779/25000000,40836931/100000000;4,4025,0,3397,5870,46591;10,4083693100,0,3422660723,5914357728,905726473303
1;C;0,4;909479/2500000;2,36,0,0,59,238;2,36,0,0,60,0
1;C;4,5;90601/250000;2,36,0,0,60,0;6,362404,0,0,602000,0
1;L;5,6;90601/250000,36635377/100000000;6,362404,0,0,602000,0;10,3663537700,0,0,6052716429,1660226975918
1;L;6,7;36635377/100000000,36793297/100000000;10,3663537700,0,0,6052716429,1660226975918;10,3679329700,0,0,6065747841,258807677438
1;L;7,8;36793297/100000000,368449/1000000;10,3679329700,0,0,6065747841,258807677438;6,368449,0,0,607000,0
1;L;8,9;368449/1000000,18507951/50000000;6,368449,0,0,607000,0;10,3701590200,0,0,6084069516,248959051488
2;L;0,1;10062779/25000000,40836931/100000000;8,40251116,0,34041784,58700000,142097344;10,4083693100,0,3422660723,5914357728,905726473303
3;C;0,4;909479/2500000;2,36,0,0,59,238;2,36,0,0,60,0
3;C;4,5;90601/250000;2,36,0,0,60,0;6,362404,0,0,602000,0
3;L;5,6;90601/250000,36635377/100000000;6,362404,0,0,602000,0;10,3663537700,0,0,6052716429,1660226975918
3;L;6,7;36635377/100000000,36793297/100000000;10,3663537700,0,0,6052716429,1660226975918;10,3679329700,0,0,6065747841,258807677438
3;L;7,8;36793297/100000000,368449/1000000;10,3679329700,0,0,6065747841,258807677438;6,368449,0,0,607000,0
3;L;8,9;368449/1000000,18507951/50000000;6,368449,0,0,607000,0;10,3701590200,0,0,6084069516,248959051488
4;L;1,2;40836931/100000000,20081297/50000000;10,4083693100,0,3422660723,5914357728,905726473303;8,40162594,0,31988104,59200000,2485184
4;L;2,3;20081297/50000000,36626309/100000000;8,40162594,0,31988104,59200000,2485184;10,3662630900,0,1454178945,5963974406,165072581303
4;L;3,4;36626309/100000000,909479/2500000;10,3662630900,0,1454178945,5963974406,165072581303;8,36379160,0,12151208,59700000,144140736
4;L;4,5;909479/2500000,90601/250000;8,36379160,0,12151208,59700000,144140736;6,362404,0,0,602000,0
4;L;5,6;90601/250000,36635377/100000000;6,362404,0,0,602000,0;10,3663537700,0,0,6052716429,1660226975918
4;L;6,7;36635377/100000000,36793297/100000000;10,3663537700,0,0,6052716429,1660226975918;10,3679329700,0,0,6065747841,258807677438
4;L;7,8;36793297/100000000,368449/1000000;10,3679329700,0,0,6065747841,258807677438;6,368449,0,0,607000,0
4;L;8,9;368449/1000000,18507951/50000000;6,368449,0,0,607000,0;10,3701590200,0,0,6084069516,248959051488
5;C;0,10;1761031/5000000;2,35,0,0,57,502;2,35,0,0,59,38
6;C;0,10;1761031/5000000;2,35,0,0,58,272;2,35,0,0,59,38
7;L;9,10;18507951/50000000,1761031/5000000;10,3701590200,0,0,6084069516,248959051488;2,35,0,0,59,38
8;C;0,3;36626309/100000000;2,36,59,59,2,230;4,3662,5964,5964,166,2046296
9;C;0,7;90601/250000;2,36,25,59,0,3094;2,36,26,61,0,2803
10;C;0,3;36626309/100000000;2,36,59,59,0,238;4,3662,5964,5964,166,2046296
11;C;0,7;90601/250000;2,36,25,59,0,3094;2,36,26,61,0,2803
12;C;3,7;90601/250000;4,3624,5964,5964,166,1286296;2,36,61,26,0,2803
13;C;0,10;1761031/5000000;2,35,25,46,0,4259;2,35,26,48,0,4020
14;C;0,10;1761031/5000000;2,35,25,47,0,4166;2,35,26,48,0,4020
15;C;7,10;1761031/5000000;2,35,26,61,0,2603;2,35,26,48,0,4020
16;C;0,1;10062779/25000000;2,40,59,59,16,526;2,40,60,60,17,222
17;C;0,1;10062779/25000000;2,40,59,59,16,526;2,40,60,60,17,222
18;C;1,2;20081297/50000000;2,40,60,60,17,222;2,40,60,60,15,350
18;L;2,3;20081297/50000000,36626309/100000000;2,40,60,60,15,350;4,3662,5964,5964,166,2046296
19;C;0,1;10062779/25000000;2,40,0,59,47,101;4,4025,0,5915,4669,1913653
20;C;0,7;90601/250000;2,36,0,59,17,3141;2,36,0,61,18,2831
21;C;0,1;10062779/25000000;2,40,0,59,47,101;4,4025,0,5915,4669,1913653
22;C;0,7;90601/250000;2,36,0,59,16,3207;2,36,0,61,18,2831
23;C;1,2;20081297/50000000;4,4016,5915,0,4669,1733653;2,40,60,0,46,168
23;L;2,3;20081297/50000000,36626309/100000000;2,40,60,0,46,168;2,36,60,0,38,712
23;C;3,4;909479/2500000;2,36,60,0,38,712;2,36,60,0,36,1008
23;C;4,7;90601/250000;2,36,60,0,36,1008;2,36,61,0,18,2831
24;C;0,10;1761031/5000000;2,35,0,46,16,4372;2,35,0,48,17,4118
25;C;0,10;1761031/5000000;2,35,0,47,15,4341;2,35,0,48,17,4118
26;C;7,10;1761031/5000000;2,35,0,61,18,2631;2,35,0,48,17,4118
27;C;0,1;10062779/25000000;2,40,0,0,59,1038;2,40,0,0,60,800
28;C;0,3;36626309/100000000;2,36,0,0,59,238;2,36,0,0,60,0
28;C;3,4;909479/2500000;2,36,0,0,60,0;2,36,0,0,60,0
28;C;4,5;90601/250000;2,36,0,0,60,0;6,362404,0,0,602000,0
28;L;5,6;90601/250000,36635377/100000000;6,362404,0,0,602000,0;10,3663537700,0,0,6052716429,1660226975918
29;C;0,1;10062779/25000000;2,40,0,0,59,1038;2,40,0,0,60,800
30;C;0,3;36626309/100000000;2,36,0,0,59,238;2,36,0,0,60,0
30;C;3,4;909479/2500000;2,36,0,0,60,0;2,36,0,0,60,0
30;C;4,5;90601/250000;2,36,0,0,60,0;6,362404,0,0,602000,0
30;L;5,6;90601/250000,36635377/100000000;6,362404,0,0,602000,0;10,3663537700,0,0,6052716429,1660226975918
31;C;1,3;36626309/100000000;2,36,0,0,60,0;2,36,0,0,60,0
31;C;3,4;909479/2500000;2,36,0,0,60,0;2,36,0,0,60,0
31;C;4,5;90601/250000;2,36,0,0,60,0;6,362404,0,0,602000,0
31;L;5,6;90601/250000,36635377/100000000;6,362404,0,0,602000,0;10,3663537700,0,0,6052716429,1660226975918
32;C;0,27;9474729/50000000;2,18,0,0,38,712;8,18949458,0,0,43530975,31098750
33;C;0,27;9474729/50000000;2,18,0,0,41,238;8,18949458,0,0,43530975,31098750
34;C;6,8;36635377/100000000;10,3663537700,0,0,6052716429,1660226975918;4,3663,0,0,6014,923608
34;C;8,9;368449/1000000;4,3684,0,0,6014,1343608;2,36,0,0,60,0
34;L;9,10;18507951/50000000,1761031/5000000;2,37,0,0,60,200;10,3522062000,0,0,5934696244,982904584928
34;L;10,11;1761031/5000000,34813479/100000000;10,3522062000,0,0,5934696244,982904584928;8,34813479,0,0,59002948,54618592
34;L;11,12;34813479/100000000,33489679/100000000;8,34813479,0,0,59002948,54618592;10,3348967900,0,0,5787026709,1738641258638
34;L;12,13;33489679/100000000,32191537/100000000;10,3348967900,0,0,5787026709,1738641258638;10,3219153700,0,0,5673758620,243951391200
34;L;13,14;32191537/100000000,3166893/10000000;10,3219153700,0,0,5673758620,243951391200;10,3166893000,0,0,5627515436,35163459808
34;L;14,15;3166893/10000000,6183811/20000000;10,3166893000,0,0,5627515436,35163459808;10,3091905500,0,0,5560490531,109318676078
34;L;15,16;6183811/20000000,29672233/100000000;10,3091905500,0,0,5560490531,109318676078;8,29672233,0,0,54472225,7098750
34;L;16,17;29672233/100000000,2845107/10000000;8,29672233,0,0,54472225,7098750;8,28451070,0,0,53339544,91744128
34;L;17,18;2845107/10000000,13627783/50000000;8,28451070,0,0,53339544,91744128;8,27255566,0,0,52206863,111398462
34;L;18,19;13627783/50000000,26228073/100000000;8,27255566,0,0,52206863,111398462;8,26228073,0,0,51213350,163555000
34;L;19,20;26228073/100000000,26085721/100000000;8,26228073,0,0,51213350,163555000;8,26085721,0,0,51074182,66061752
34;L;20,21;26085721/100000000,779423/3125000;8,26085721,0,0,51074182,66061752;8,24941536,0,0,49941501,155733998
34;L;21,22;779423/3125000,2382301/10000000;8,24941536,0,0,49941501,155733998;8,23823010,0,0,48808820,180415200
34;L;22,23;2382301/10000000,22730143/100000000;8,23823010,0,0,48808820,180415200;10,2273014300,0,0,4767613905,1305701301950
34;L;23,24;22730143/100000000,4332587/20000000;10,2273014300,0,0,4767613905,1305701301950;10,2166293500,0,0,4654345816,50166588288
34;L;24,25;4332587/20000000,20621387/100000000;10,2166293500,0,0,4654345816,50166588288;10,2062138700,0,0,4541077726,172853337848
34;L;25,26;20621387/100000000,19605499/100000000;10,2062138700,0,0,4541077726,172853337848;8,19605499,0,0,44278097,52117182
34;L;26,27;19605499/100000000,9474729/50000000;8,19605499,0,0,44278097,52117182;8,18949458,0,0,43530975,31098750
35;C;0,1;10062779/25000000;2,40,46,59,0,2403;2,40,46,60,0,2284
36;C;0,14;3166893/10000000;2,31,19,59,0,2358;2,31,20,63,0,1831
37;C;0,1;10062779/25000000;2,40,59,46,0,2403;2,40,60,46,0,2284
38;C;0,14;3166893/10000000;2,31,19,59,0,2358;2,31,20,63,0,1831
39;C;1,14;3166893/10000000;2,31,60,46,0,484;2,31,63,20,0,1831
40;C;0,27;9474729/50000000;2,18,19,19,0,2878;2,18,22,22,0,2632
41;C;0,27;9474729/50000000;2,18,19,19,0,2878;2,18,22,22,0,2632
42;C;14,20;26085721/100000000;2,26,20,63,0,831;2,26,21,46,0,2643
42;C;20,27;9474729/50000000;2,18,21,46,0,1043;2,18,22,22,0,2632
43;C;0,1;10062779/25000000;2,40,0,59,28,2951;2,40,0,60,28,2832
44;C;0,14;3166893/10000000;2,31,0,59,13,2381;2,31,0,63,14,1839
45;C;0,1;10062779/25000000;2,40,0,59,28,2951;2,40,0,60,28,2832
46;C;0,14;3166893/10000000;2,31,0,59,10,2519;2,31,0,63,14,1839
47;C;1,14;3166893/10000000;2,31,60,0,28,1032;2,31,63,0,14,1839
48;C;0,27;9474729/50000000;2,18,0,19,11,2997;2,18,0,22,13,2778
49;C;0,27;9474729/50000000;2,18,0,19,4,3207;2,18,0,22,13,2778
50;C;14,20;26085721/100000000;2,26,0,63,14,839;2,26,0,46,13,2746
50;C;20,27;9474729/50000000;2,18,0,46,13,1146;2,18,0,22,13,2778
51;C;0,1;10062779/25000000;2,40,0,0,46,3768;2,40,0,0,46,3768
52;C;0,19;26228073/100000000;2,26,0,0,31,3278;2,26,0,0,34,2888
53;C;0,1;10062779/25000000;2,40,0,0,46,3768;2,40,0,0,46,3768
54;C;0,19;26228073/100000000;2,26,0,0,32,3152;2,26,0,0,34,2888
55;C;1,19;26228073/100000000;2,26,0,0,46,968;2,26,0,0,34,2888
56;C;0,1;10062779/25000000;2,40,15,52,0,5071;2,40,15,52,0,5071
57;C;0,19;26228073/100000000;2,26,15,15,0,4750;2,26,17,17,0,4622
58;C;0,1;10062779/25000000;2,40,15,52,0,5071;2,40,15,52,0,5071
59;C;0,19;26228073/100000000;2,26,15,15,0,4750;2,26,17,17,0,4622
60;C;1,19;26228073/100000000;2,26,15,52,0,2271;2,26,17,17,0,4622
61;C;0,1;10062779/25000000;2,40,0,52,10,5096;2,40,0,52,10,5096
62;C;0,19;26228073/100000000;2,26,0,15,9,4813;2,26,0,17,10,4711
63;C;0,1;10062779/25000000;2,40,0,52,10,5096;2,40,0,52,10,5096
64;C;0,19;26228073/100000000;2,26,0,15,4,4943;2,26,0,17,10,4711
65;C;1,19;26228073/100000000;2,26,0,52,10,2296;2,26,0,17,10,4711
MASS SLACK NUMERATOR 2111513815218222176631351790599016975323042079229161876615738594817590503431111545494088442407

BIN 34: PQP; (6/5,104/85]; gamma0=59/100; mass ceiling=49850099/50000000.
GAMMA 0=59/100;1=119/200;2=224471520000/375106565377;3=3/5;4=173749590000/287205460687;5=121/200;6=61/100;7=204326640000/334816805377;8=123/200;9=115833060000/186836114197;10=31/50;11=112595490000/181225405387;12=5/8;13=102163320000/163146454777;14=63/100;15=176987160000/280137845377;16=127/200;17=16/25;18=129/200;19=13/20;20=131/200;21=89302972500/136252637051;22=33/50;23=133/200;24=67/100;25=27/40;26=17/25;27=137/200;28=69/100;29=132740370000/191644265377;30=139/200;31=7/10;32=141/200;33=71/100;34=143/200;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38643393,39272900;1,2,39272900,39706550;2,3,39706550,38551253;3,4,38551253,36769233;4,5,36769233,36766725;5,6,36766725,37210000;6,7,37210000,37242214;7,8,37242214,37822500;8,9,37822500,38436463;9,10,38436463,38440000;10,11,38440000,38601469;11,12,38601469,34767339;12,13,34767339,33560498;13,14,32304827,31181561;14,15,31181561,30659655;15,16,30659655,29731527;16,17,29731527,28316015;17,18,28316015,26935027;18,19,26935027,25588561;19,20,25588561,24276618;20,21,24276618,24167477;21,22,24167477,22999199;22,23,22999199,21756302;23,24,21756302,20547928;24,25,20547928,19374077;25,26,19374077,18234749;26,27,18234749,17129944;27,28,17129944,16059661;28,29,16059661,15508602;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;18948031631/5395950000,1/3,22065092081/10791900000;-942110432779
1;0,3,7;56/255,2,1;-2
3;0,3,7;226/255,2,1;-1
4;2,3,7;257/255,7/3,142/255;-311
8;1,3,6;226/255,10/3,104/85;-226
10;10;1;-1
12;10;1;-1
13;2,3,10;161/85,1/3,142/255;-1
18;1,4,13;18948031631/5395950000,1/3,22065092081/10791900000;-942110432779
19;0,3,13;226/255,2,1;-1
21;0,3,13;56/255,2,1;-2
22;2,3,13;257/255,7/3,142/255;-311
26;1,3,12;226/255,10/3,104/85;-226
27;0,1,7;2/3,2,1;-1
28;0,3,7;56/255,2,1;-2
30;0,3,7;226/255,2,1;-1
31;2,3,7;512/255,7/3,123/170;-226
35;1,3,6;226/255,10/3,104/85;-226
36;1,4,10;11273192081/2697975000,2,22065092081/10791900000;-222650432779
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;226/255,2,1;-1
48;0,3,13;56/255,2,1;-2
49;2,3,13;512/255,7/3,123/170;-226
53;1,3,12;226/255,10/3,104/85;-226
54;0,1,7;5/3,2,1;-1
55;0,3,7;56/255,2,1;-2
56;1,4,7;3001535489/674493750,5/3,22065092081/10791900000;-402515432779
57;0,3,7;226/255,2,1;-1
58;2,3,7;767/255,17/6,331/340;-226
60;1,4,12;8014861003/1348987500,1,22065092081/10791900000;-222650432779
62;1,3,6;226/255,10/3,104/85;-226
63;1,4,6;8014861003/1348987500,1,22065092081/10791900000;-222650432779
64;10;1;-1
65;1,4,6;8014861003/1348987500,1,22065092081/10791900000;-222650432779
66;10;1;-1
69;1,4,12;8014861003/1348987500,1,22065092081/10791900000;-222650432779
72;0,1,13;5/3,2,1;-1
73;0,3,13;226/255,2,1;-1
74;1,4,6;8014861003/1348987500,1,22065092081/10791900000;-222650432779
75;0,3,13;56/255,2,1;-2
76;2,3,13;767/255,17/6,331/340;-226
78;1,4,9;3001535489/674493750,5/3,22065092081/10791900000;-402515432779
80;1,3,12;226/255,10/3,104/85;-226
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;1579323213785,1825651065498077475000,8508751232505,26435
5;8,4,2,3;8508751232505,71817845950977525000,8860367522355,7395
6;5,4,12,3;2149184097335,337246875,8399628935655,85
7;11,4,2,3;8399628935655,69636139915747190625,8860367522355,4845
9;1,4,10,3;1579323213785,213777129687019368750,2149184097335,3995
11;1,4,6,3;1579323213785,652818747390384684375,8399628935655,12835
14;5,4,2,3;8399628935655,69636139915747190625,8860367522355,4845
15;1,4,12,3;1579323213785,652818747390384684375,8399628935655,12835
16;11,4,2,3;8399628935655,69636139915747190625,8860367522355,4845
17;8,4,2,3;8508751232505,71817845950977525000,8860367522355,7395
20;11,4,6,3;2149184097335,337246875,8399628935655,85
23;5,4,2,3;8399628935655,69636139915747190625,8860367522355,4845
24;1,4,9,3;1579323213785,1825651065498077475000,8508751232505,26435
25;8,4,2,3;8508751232505,71817845950977525000,8860367522355,7395
29;1,4,7,3;1579323213785,739674490746154950000,10177087241355,595
32;8,4,2,3;10177087241355,1647860174258845050000,19670253427570,16915
33;1,4,12,3;1579323213785,2310922338873077475000,5852915613785,935
34;11,4,2,3;5852915613785,2697975000,19670253427570,85
38;1,4,6,3;1579323213785,2310922338873077475000,5852915613785,935
41;5,4,2,3;5852915613785,2697975000,19670253427570,85
42;1,4,12,3;1579323213785,2310922338873077475000,5852915613785,935
43;11,4,2,3;5852915613785,2697975000,19670253427570,85
44;8,4,2,3;10177087241355,1647860174258845050000,19670253427570,16915
47;1,4,6,3;1579323213785,2310922338873077475000,5852915613785,935
50;5,4,2,3;5852915613785,2697975000,19670253427570,85
51;1,4,9,3;1579323213785,739674490746154950000,10177087241355,595
52;8,4,2,3;10177087241355,1647860174258845050000,19670253427570,16915
59;1,4,2,3;1579323213785,1455813820125000000000,17827833279820,7225
61;1,4,2,3;1579323213785,1455813820125000000000,17827833279820,7225
68;1,4,2,3;1579323213785,1455813820125000000000,17827833279820,7225
70;1,4,2,3;1579323213785,1455813820125000000000,17827833279820,7225
71;1,4,2,3;1579323213785,1455813820125000000000,17827833279820,7225
77;1,4,2,3;1579323213785,1455813820125000000000,17827833279820,7225
79;1,4,2,3;1579323213785,1455813820125000000000,17827833279820,7225
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/2;V/7,3/1/0/11;E/4,1/2/0/2;E/4,7/3/0/11;E/4,3/4/2/11
5:V/3,8/1/0/11;V/2,3/5/0/13;E/4,8/3/0/11;E/4,2/6/0/13;E/4,3/7/11/13
6:V/3,5/8/0/4;V/12,3/9/0/9;E/4,5/10/0/4;E/4,12/11/0/9;E/4,3/12/4/9
7:V/3,11/9/0/9;V/2,3/13/0/13;E/4,11/11/0/9;E/4,2/14/0/13;E/4,3/15/9/13
9:V/3,1/16/0/2;V/10,3/8/0/4;E/4,1/17/0/2;E/4,10/10/0/4;E/4,3/18/2/4
11:V/3,1/19/0/2;V/6,3/20/0/9;E/4,1/21/0/2;E/4,6/22/0/9;E/4,3/23/2/9
14:V/3,5/20/0/9;V/2,3/24/0/13;E/4,5/22/0/9;E/4,2/25/0/13;E/4,3/26/9/13
15:V/3,1/19/0/2;V/12,3/20/0/9;E/4,1/21/0/2;E/4,12/22/0/9;E/4,3/23/2/9
16:V/3,11/20/0/9;V/2,3/24/0/13;E/4,11/22/0/9;E/4,2/25/0/13;E/4,3/26/9/13
17:V/3,8/1/0/11;V/2,3/5/0/13;E/4,8/3/0/11;E/4,2/6/0/13;E/4,3/7/11/13
20:V/3,11/8/0/4;V/6,3/9/0/9;E/4,11/10/0/4;E/4,6/11/0/9;E/4,3/12/4/9
23:V/3,5/9/0/9;V/2,3/13/0/13;E/4,5/11/0/9;E/4,2/14/0/13;E/4,3/15/9/13
24:V/3,1/0/0/2;V/9,3/1/0/11;E/4,1/2/0/2;E/4,9/3/0/11;E/4,3/4/2/11
25:V/3,8/1/0/11;V/2,3/5/0/13;E/4,8/3/0/11;E/4,2/6/0/13;E/4,3/7/11/13
29:V/3,1/27/0/2;V/7,3/28/0/7;E/4,1/29/0/2;E/4,7/30/0/7;E/4,3/31/2/7
32:V/3,8/28/0/7;V/2,3/32/0/29;E/4,8/30/0/7;E/4,2/33/0/29;E/4,3/34/7/29
33:V/3,1/35/0/2;V/12,3/36/0/15;E/4,1/37/0/2;E/4,12/38/0/15;E/4,3/39/2/15
34:V/3,11/36/0/15;V/2,3/40/0/29;E/4,11/38/0/15;E/4,2/41/0/29;E/4,3/42/15/29
38:V/3,1/43/0/2;V/6,3/44/0/15;E/4,1/45/0/2;E/4,6/46/0/15;E/4,3/47/2/15
40:V/2,3/40/0/29;E/4,2/41/0/29
41:V/3,5/44/0/15;V/2,3/48/0/29;E/4,5/46/0/15;E/4,2/49/0/29;E/4,3/50/15/29
42:V/3,1/43/0/2;V/12,3/44/0/15;E/4,1/45/0/2;E/4,12/46/0/15;E/4,3/47/2/15
43:V/3,11/44/0/15;V/2,3/48/0/29;E/4,11/46/0/15;E/4,2/49/0/29;E/4,3/50/15/29
44:V/3,8/28/0/7;V/2,3/32/0/29;E/4,8/30/0/7;E/4,2/33/0/29;E/4,3/34/7/29
47:V/3,1/35/0/2;V/6,3/36/0/15;E/4,1/37/0/2;E/4,6/38/0/15;E/4,3/39/2/15
50:V/3,5/36/0/15;V/2,3/40/0/29;E/4,5/38/0/15;E/4,2/41/0/29;E/4,3/42/15/29
51:V/3,1/27/0/2;V/9,3/28/0/7;E/4,1/29/0/2;E/4,9/30/0/7;E/4,3/31/2/7
52:V/3,8/28/0/7;V/2,3/32/0/29;E/4,8/30/0/7;E/4,2/33/0/29;E/4,3/34/7/29
59:V/3,1/51/0/2;V/2,3/52/0/21;E/4,1/53/0/2;E/4,2/54/0/21;E/4,3/55/2/21
61:V/3,1/56/0/2;V/2,3/57/0/21;E/4,1/58/0/2;E/4,2/59/0/21;E/4,3/60/2/21
67:V/2,3/57/0/21;E/4,2/59/0/21
68:V/3,1/61/0/2;V/2,3/62/0/21;E/4,1/63/0/2;E/4,2/64/0/21;E/4,3/65/2/21
70:V/3,1/61/0/2;V/2,3/62/0/21;E/4,1/63/0/2;E/4,2/64/0/21;E/4,3/65/2/21
71:V/3,1/51/0/2;V/2,3/52/0/21;E/4,1/53/0/2;E/4,2/54/0/21;E/4,3/55/2/21
77:V/3,1/56/0/2;V/2,3/57/0/21;E/4,1/58/0/2;E/4,2/59/0/21;E/4,3/60/2/21
79:V/3,1/51/0/2;V/2,3/52/0/21;E/4,1/53/0/2;E/4,2/54/0/21;E/4,3/55/2/21
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;38643393/100000000,392729/1000000;4,3864,0,2753,5900,80991;4,3927,0,2776,5950,28824
0;L;1,2;392729/1000000,794131/2000000;4,3927,0,2776,5950,28824;10,3970655000,0,2791351090,5984206643,800105153002
1;C;0,5;1470669/4000000;2,36,0,0,59,238;4,3676,0,0,6050,315000
1;L;5,6;1470669/4000000,3721/10000;4,3676,0,0,6050,315000;4,3721,0,0,6100,0
1;L;6,7;3721/10000,18621107/50000000;4,3721,0,0,6100,0;10,3724221400,0,0,6102639913,184518704862
1;L;7,8;18621107/50000000,15129/40000;10,3724221400,0,0,6102639913,184518704862;6,378225,0,0,615000,0
1;L;8,9;15129/40000,38436463/100000000;6,378225,0,0,615000,0;8,38436463,0,0,61997147,127720782
1;L;9,10;38436463/100000000,961/2500;8,38436463,0,0,61997147,127720782;4,3844,0,0,6200,0
1;L;10,11;961/2500,38601469/100000000;4,3844,0,0,6200,0;10,3860146900,0,0,6213008037,264346813262
2;L;0,1;38643393/100000000,392729/1000000;8,38643393,0,27688960,59000000,94118400;10,3927290000,0,2782229319,5950000000,16496796239
2;L;1,2;392729/1000000,794131/2000000;10,3927290000,0,2782229319,5950000000,16496796239;10,3970655000,0,2791351090,5984206643,800105153002
3;C;0,5;1470669/4000000;2,36,0,0,59,238;4,3676,0,0,6050,315000
3;L;5,6;1470669/4000000,3721/10000;4,3676,0,0,6050,315000;4,3721,0,0,6100,0
3;L;6,7;3721/10000,18621107/50000000;4,3721,0,0,6100,0;10,3724221400,0,0,6102639913,184518704862
3;L;7,8;18621107/50000000,15129/40000;10,3724221400,0,0,6102639913,184518704862;6,378225,0,0,615000,0
3;L;8,9;15129/40000,38436463/100000000;6,378225,0,0,615000,0;8,38436463,0,0,61997147,127720782
3;L;9,10;38436463/100000000,961/2500;8,38436463,0,0,61997147,127720782;4,3844,0,0,6200,0
3;L;10,11;961/2500,38601469/100000000;4,3844,0,0,6200,0;10,3860146900,0,0,6213008037,264346813262
4;L;2,3;794131/2000000,38551253/100000000;10,3970655000,0,2791351090,5984206643,800105153002;8,38551253,0,22588726,60000000,57696924
4;L;3,4;38551253/100000000,36769233/100000000;8,38551253,0,22588726,60000000,57696924;8,36769233,0,5845084,60496618,14157096
4;L;4,5;36769233/100000000,1470669/4000000;8,36769233,0,5845084,60496618,14157096;8,36766725,0,5731054,60500000,20049084
4;L;5,6;1470669/4000000,3721/10000;8,36766725,0,5731054,60500000,20049084;4,3721,0,0,6100,0
4;L;6,7;3721/10000,18621107/50000000;4,3721,0,0,6100,0;10,3724221400,0,0,6102639913,184518704862
4;L;7,8;18621107/50000000,15129/40000;10,3724221400,0,0,6102639913,184518704862;6,378225,0,0,615000,0
4;L;8,9;15129/40000,38436463/100000000;6,378225,0,0,615000,0;8,38436463,0,0,61997147,127720782
4;L;9,10;38436463/100000000,961/2500;8,38436463,0,0,61997147,127720782;4,3844,0,0,6200,0
4;L;10,11;961/2500,38601469/100000000;4,3844,0,0,6200,0;10,3860146900,0,0,6213008037,264346813262
5;C;0,13;16780249/50000000;2,33,0,0,55,550;8,33560498,0,0,57931423,58390142
6;C;0,13;16780249/50000000;2,33,0,0,57,102;8,33560498,0,0,57931423,58390142
7;L;11,12;38601469/100000000,34767339/100000000;10,3860146900,0,0,6213008037,264346813262;8,34767339,0,0,58963835,124185550
7;L;12,13;34767339/100000000,16780249/50000000;8,34767339,0,0,58963835,124185550;8,33560498,0,0,57931423,58390142
8;C;0,4;36769233/100000000;2,36,59,59,0,238;4,3676,6050,6050,0,315000
9;C;0,9;1470669/4000000;2,36,16,59,0,3463;2,36,17,62,0,3067
10;C;0,4;36769233/100000000;2,36,59,59,0,238;4,3676,6050,6050,0,315000
11;C;0,9;1470669/4000000;2,36,16,59,0,3463;2,36,17,62,0,3067
12;C;4,9;1470669/4000000;4,3676,6050,6050,0,315000;2,36,62,17,0,3067
13;C;0,13;16780249/50000000;2,33,16,42,0,4580;2,33,17,45,0,4286
14;C;0,13;16780249/50000000;2,33,16,44,0,4408;2,33,17,45,0,4286
15;C;9,13;16780249/50000000;2,33,17,62,0,2467;2,33,17,45,0,4286
16;C;0,2;38643393/100000000;2,38,59,59,6,566;2,38,60,60,7,302
17;C;0,2;38643393/100000000;2,38,59,59,6,566;2,38,60,60,7,302
18;C;2,4;36769233/100000000;4,3676,5985,5985,605,1147500;4,3676,6050,6050,0,315000
19;C;0,2;38643393/100000000;2,38,0,59,44,247;2,38,0,60,44,128
20;C;0,9;1470669/4000000;2,36,0,59,9,3557;2,36,0,62,9,3194
21;C;0,2;38643393/100000000;2,38,0,59,44,247;2,38,0,60,44,128
22;C;0,9;1470669/4000000;2,36,0,59,6,3647;2,36,0,62,9,3194
23;C;2,3;38551253/100000000;2,38,60,0,44,128;2,38,60,0,42,472
23;C;3,5;1470669/4000000;2,36,60,0,42,72;2,36,61,0,34,1167
23;C;5,9;1470669/4000000;2,36,61,0,34,1167;2,36,62,0,9,3194
24;C;0,13;16780249/50000000;2,33,0,42,8,4708;2,33,0,45,8,4447
25;C;0,13;16780249/50000000;2,33,0,44,5,4614;2,33,0,45,8,4447
26;C;9,13;16780249/50000000;2,33,0,62,9,2594;2,33,0,45,8,4447
27;C;0,2;38643393/100000000;2,38,0,0,59,638;2,38,0,0,60,400
28;C;0,3;38551253/100000000;2,38,0,0,59,638;2,38,0,0,60,400
28;C;3,5;1470669/4000000;2,36,0,0,60,0;4,3676,0,0,6050,315000
28;L;5,6;1470669/4000000,3721/10000;4,3676,0,0,6050,315000;4,3721,0,0,6100,0
28;L;6,7;3721/10000,18621107/50000000;4,3721,0,0,6100,0;10,3724221400,0,0,6102639913,184518704862
29;C;0,2;38643393/100000000;2,38,0,0,59,638;2,38,0,0,60,400
30;C;0,3;38551253/100000000;2,38,0,0,59,638;2,38,0,0,60,400
30;C;3,5;1470669/4000000;2,36,0,0,60,0;4,3676,0,0,6050,315000
30;L;5,6;1470669/4000000,3721/10000;4,3676,0,0,6050,315000;4,3721,0,0,6100,0
30;L;6,7;3721/10000,18621107/50000000;4,3721,0,0,6100,0;10,3724221400,0,0,6102639913,184518704862
31;C;2,4;36769233/100000000;2,36,0,0,60,0;4,3676,0,0,6050,315000
31;C;4,5;1470669/4000000;4,3676,0,0,6050,315000;4,3676,0,0,6050,315000
31;L;5,6;1470669/4000000,3721/10000;4,3676,0,0,6050,315000;4,3721,0,0,6100,0
31;L;6,7;3721/10000,18621107/50000000;4,3721,0,0,6100,0;10,3724221400,0,0,6102639913,184518704862
32;C;0,29;7754301/50000000;2,15,0,0,34,688;8,15508602,0,0,39380962,63909112
33;C;0,29;7754301/50000000;2,15,0,0,38,112;8,15508602,0,0,39380962,63909112
34;C;7,9;18621107/50000000;10,3724221400,0,0,6102639913,184518704862;2,37,0,0,59,438
34;C;9,12;34767339/100000000;4,3476,0,0,5848,1121792;2,34,0,0,58,72
34;C;12,13;16780249/50000000;4,3356,0,0,5716,1774688;2,33,0,0,57,102
34;L;13,14;32304827/100000000,31181561/100000000;10,3230482700,0,0,5683733503,933750697982;8,31181561,0,0,55840452,40871392
34;L;14,15;31181561/100000000,6131931/20000000;8,31181561,0,0,55840452,40871392;8,30659655,0,0,55371161,59024158
34;L;15,16;6131931/20000000,29731527/100000000;8,30659655,0,0,55371161,59024158;10,2973152700,0,0,5452662314,1378968330808
34;L;16,17;29731527/100000000,5663203/20000000;10,2973152700,0,0,5452662314,1378968330808;10,2831601500,0,0,5321279437,306721926062
34;L;17,18;5663203/20000000,26935027/100000000;10,2831601500,0,0,5321279437,306721926062;8,26935027,0,0,51898966,56261688
34;L;18,19;26935027/100000000,25588561/100000000;8,26935027,0,0,51898966,56261688;8,25588561,0,0,50585137,29382462
34;L;19,20;25588561/100000000,12138309/50000000;8,25588561,0,0,50585137,29382462;10,2427661800,0,0,4927130805,60840103950
34;L;20,21;12138309/50000000,24167477/100000000;10,2427661800,0,0,4927130805,60840103950;8,24167477,0,0,49160428,37713632
34;L;21,22;24167477/100000000,22999199/100000000;8,24167477,0,0,49160428,37713632;8,22999199,0,0,47957480,24099200
34;L;22,23;22999199/100000000,10878151/50000000;8,22999199,0,0,47957480,24099200;8,21756302,0,0,46643651,42780398
34;L;23,24;10878151/50000000,2568491/12500000;8,21756302,0,0,46643651,42780398;8,20547928,0,0,45329822,74896632
34;L;24,25;2568491/12500000,19374077/100000000;8,20547928,0,0,45329822,74896632;8,19374077,0,0,44015993,120447902
34;L;25,26;19374077/100000000,18234749/100000000;8,19374077,0,0,44015993,120447902;8,18234749,0,0,42702165,8625550
34;L;26,27;18234749/100000000,2141243/12500000;8,18234749,0,0,42702165,8625550;8,17129944,0,0,41388336,86302208
34;L;27,28;2141243/12500000,16059661/100000000;8,17129944,0,0,41388336,86302208;10,1605966100,0,0,4007450664,351211918208
34;L;28,29;16059661/100000000,7754301/50000000;10,1605966100,0,0,4007450664,351211918208;8,15508602,0,0,39380962,63909112
35;C;0,2;38643393/100000000;2,38,42,59,0,2355;2,38,43,60,0,2151
36;C;0,15;6131931/20000000;2,30,12,59,0,2375;2,30,13,64,0,1735
37;C;0,2;38643393/100000000;2,38,59,43,0,2270;2,38,60,43,0,2151
38;C;0,15;6131931/20000000;2,30,12,59,0,2375;2,30,13,64,0,1735
39;C;2,15;6131931/20000000;2,30,60,43,0,551;2,30,64,13,0,1735
40;C;0,29;7754301/50000000;2,15,12,12,0,2712;2,15,14,14,0,2608
41;C;0,29;7754301/50000000;2,15,12,12,0,2712;2,15,14,14,0,2608
42;C;15,22;22999199/100000000;2,22,13,64,0,135;2,22,14,41,0,2523
42;C;22,29;7754301/50000000;2,15,14,41,0,1123;2,15,14,14,0,2608
43;C;0,2;38643393/100000000;2,38,0,59,23,3061;2,38,0,60,23,2942
44;C;0,15;6131931/20000000;2,30,0,59,7,2421;2,30,0,64,7,1806
45;C;0,2;38643393/100000000;2,38,0,59,23,3061;2,38,0,60,23,2942
46;C;0,15;6131931/20000000;2,30,0,59,3,2501;2,30,0,64,7,1806
47;C;2,15;6131931/20000000;2,30,60,0,23,1342;2,30,64,0,7,1806
48;C;0,29;7754301/50000000;2,15,0,12,5,2806;2,15,0,14,6,2732
49;C;0,29;7754301/50000000;2,15,0,12,0,2856;2,15,0,14,6,2732
50;C;15,22;22999199/100000000;2,22,0,64,7,206;2,22,0,41,7,2621
50;C;22,29;7754301/50000000;2,15,0,41,7,1221;2,15,0,14,6,2732
51;C;0,2;38643393/100000000;2,38,0,0,44,3728;2,38,0,0,44,3728
52;C;0,21;24167477/100000000;2,24,0,0,27,3342;2,24,0,0,30,3000
53;C;0,2;38643393/100000000;2,38,0,0,44,3728;2,38,0,0,44,3728
54;C;0,21;24167477/100000000;2,24,0,0,29,3118;2,24,0,0,30,3000
55;C;2,21;24167477/100000000;2,24,0,0,44,928;2,24,0,0,30,3000
56;C;0,2;38643393/100000000;2,38,10,50,0,5000;2,38,10,51,0,4899
57;C;0,21;24167477/100000000;2,24,10,10,0,4600;2,24,11,11,0,4558
58;C;0,2;38643393/100000000;2,38,10,51,0,4899;2,38,10,51,0,4899
59;C;0,21;24167477/100000000;2,24,10,10,0,4600;2,24,11,11,0,4558
60;C;2,21;24167477/100000000;2,24,10,51,0,2099;2,24,11,11,0,4558
61;C;0,2;38643393/100000000;2,38,0,50,5,5050;2,38,0,51,6,4927
62;C;0,21;24167477/100000000;2,24,0,10,4,4668;2,24,0,11,5,4629
63;C;0,2;38643393/100000000;2,38,0,51,5,4949;2,38,0,51,6,4927
64;C;0,21;24167477/100000000;2,24,0,10,0,4700;2,24,0,11,5,4629
65;C;2,21;24167477/100000000;2,24,0,51,6,2127;2,24,0,11,5,4629
MASS SLACK NUMERATOR 81591246858669360428339708836135129755862177125538182611060507835671151769647084241747196650810339

BIN 35: PQP; (104/85,21/17]; gamma0=1183/2000; mass ceiling=19527689/20000000.
GAMMA 0=1183/2000;1=226629900000/380506565377;2=1193/2000;3=178066350000/296345933227;4=1203/2000;5=208643400000/344533565377;6=1213/2000;7=1223/2000;8=118710900000/193482938377;9=116912250000/190365877927;10=1233/2000;11=104321700000/168546454777;12=1243/2000;13=1253/2000;14=179865000000/286976765377;15=1263/2000;16=1273/2000;17=1283/2000;18=1293/2000;19=90382162500/138952637051;20=1303/2000;21=1313/2000;22=1323/2000;23=1333/2000;24=1343/2000;25=1353/2000;26=1363/2000;27=134898750000/197044265377;28=1373/2000;29=1383/2000;30=1393/2000;31=1403/2000;32=1413/2000;33=1423/2000;34=1433/2000;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38246661,38756463;1,2,38756463,37976255;2,3,37976255,36174157;3,4,36174157,36186493;4,5,36186493,36672983;5,6,36672983,36784225;6,7,36784225,37393225;7,8,37393225,37644008;8,9,37644008,37717407;9,10,37717407,34565434;10,11,34565434,32043964;11,12,32043964,31196102;12,13,31196102,29567104;13,14,29567104,29484215;14,15,29484215,27981787;15,16,27981787,26440148;16,17,26440148,24942190;17,18,24942190,23487910;18,19,23487910,22369069;19,20,22369069,22077311;20,21,22077311,20710391;21,22,20710391,19387150;22,23,19387150,18107589;23,24,18107589,16871708;24,25,16871708,15679506;25,26,15679506,14530984;26,27,14530984,13838329;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;327516537727/91731150000,1/3,380506565377/183462300000;-46833009548713
1;0,3,7;10/51,2,1;-2
3;0,3,7;44/51,2,1;-1
4;2,3,7;55/51,7/3,29/51;-61
8;1,3,6;44/51,10/3,21/17;-44
10;10;1;-1
12;10;1;-1
13;2,3,10;33/17,1/3,29/51;-1
18;1,4,13;327516537727/91731150000,1/3,380506565377/183462300000;-46833009548713
19;0,3,13;44/51,2,1;-1
21;0,3,13;10/51,2,1;-2
22;2,3,13;55/51,7/3,29/51;-61
26;1,3,12;44/51,10/3,21/17;-44
27;0,1,7;2/3,2,1;-1
28;0,3,7;10/51,2,1;-2
30;0,3,7;44/51,2,1;-1
31;2,3,7;106/51,7/3,25/34;-44
35;1,3,6;44/51,10/3,21/17;-44
36;1,4,10;197044265377/45865575000,2,380506565377/183462300000;-1698258506959
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;44/51,2,1;-1
48;0,3,13;10/51,2,1;-2
49;2,3,13;106/51,7/3,25/34;-44
53;1,3,12;44/51,10/3,21/17;-44
54;0,1,7;5/3,2,1;-1
55;0,3,7;10/51,2,1;-2
56;1,4,7;52376103313/11466393750,5/3,380506565377/183462300000;-20624109548713
57;0,3,7;44/51,2,1;-1
58;2,3,7;157/51,17/6,67/68;-44
60;1,4,12;138952637051/22932787500,1,380506565377/183462300000;-1698258506959
62;1,3,6;44/51,10/3,21/17;-44
63;1,4,6;138952637051/22932787500,1,380506565377/183462300000;-1698258506959
64;10;1;-1
65;1,4,6;138952637051/22932787500,1,380506565377/183462300000;-1698258506959
66;10;1;-1
69;1,4,12;138952637051/22932787500,1,380506565377/183462300000;-1698258506959
72;0,1,13;5/3,2,1;-1
73;0,3,13;44/51,2,1;-1
74;1,4,6;138952637051/22932787500,1,380506565377/183462300000;-1698258506959
75;0,3,13;10/51,2,1;-2
76;2,3,13;157/51,17/6,67/68;-44
78;1,4,9;52376103313/11466393750,5/3,380506565377/183462300000;-20624109548713
80;1,3,12;44/51,10/3,21/17;-44
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;7578437671879,1458235893920287745025000,4831922934399,1037
5;8,4,2,3;4831922934399,104364861954903699975000,67414306277037,357
6;5,4,12,3;13491833838829,5733196875,20719318042879,17
7;11,4,2,3;20719318042879,63132535603425462496875,67414306277037,68
9;1,4,10,3;7578437671879,164211262043821936256250,13491833838829,17
11;1,4,6,3;7578437671879,532887981753473468128125,20719318042879,170
14;5,4,2,3;20719318042879,63132535603425462496875,67414306277037,68
15;1,4,12,3;7578437671879,532887981753473468128125,20719318042879,170
16;11,4,2,3;20719318042879,63132535603425462496875,67414306277037,68
17;8,4,2,3;4831922934399,104364861954903699975000,67414306277037,357
20;11,4,6,3;13491833838829,5733196875,20719318042879,17
23;5,4,2,3;20719318042879,63132535603425462496875,67414306277037,68
24;1,4,9,3;7578437671879,1458235893920287745025000,4831922934399,1037
25;8,4,2,3;4831922934399,104364861954903699975000,67414306277037,357
29;1,4,7,3;7578437671879,512299250605575490050000,70697600015637,85
32;8,4,2,3;70697600015637,1451909712315419509950000,178228651143758,697
33;1,4,12,3;7578437671879,1858931316792787745025000,147437259215637,221
34;11,4,2,3;147437259215637,45865575000,178228651143758,17
38;1,4,6,3;7578437671879,1858931316792787745025000,147437259215637,221
41;5,4,2,3;147437259215637,45865575000,178228651143758,17
42;1,4,12,3;7578437671879,1858931316792787745025000,147437259215637,221
43;11,4,2,3;147437259215637,45865575000,178228651143758,17
44;8,4,2,3;70697600015637,1451909712315419509950000,178228651143758,697
47;1,4,6,3;7578437671879,1858931316792787745025000,147437259215637,221
50;5,4,2,3;147437259215637,45865575000,178228651143758,17
51;1,4,9,3;7578437671879,512299250605575490050000,70697600015637,85
52;8,4,2,3;70697600015637,1451909712315419509950000,178228651143758,697
59;1,4,2,3;7578437671879,1202086268617500000000000,159152595009908,289
61;1,4,2,3;7578437671879,1202086268617500000000000,159152595009908,289
68;1,4,2,3;7578437671879,1202086268617500000000000,159152595009908,289
70;1,4,2,3;7578437671879,1202086268617500000000000,159152595009908,289
71;1,4,2,3;7578437671879,1202086268617500000000000,159152595009908,289
77;1,4,2,3;7578437671879,1202086268617500000000000,159152595009908,289
79;1,4,2,3;7578437671879,1202086268617500000000000,159152595009908,289
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/9;E/4,1/2/0/1;E/4,7/3/0/9;E/4,3/4/1/9
5:V/3,8/1/0/9;V/2,3/5/0/11;E/4,8/3/0/9;E/4,2/6/0/11;E/4,3/7/9/11
6:V/3,5/8/0/3;V/12,3/9/0/8;E/4,5/10/0/3;E/4,12/11/0/8;E/4,3/12/3/8
7:V/3,11/9/0/8;V/2,3/13/0/11;E/4,11/11/0/8;E/4,2/14/0/11;E/4,3/15/8/11
9:V/3,1/16/0/1;V/10,3/8/0/3;E/4,1/17/0/1;E/4,10/10/0/3;E/4,3/18/1/3
11:V/3,1/19/0/1;V/6,3/20/0/8;E/4,1/21/0/1;E/4,6/22/0/8;E/4,3/23/1/8
14:V/3,5/20/0/8;V/2,3/24/0/11;E/4,5/22/0/8;E/4,2/25/0/11;E/4,3/26/8/11
15:V/3,1/19/0/1;V/12,3/20/0/8;E/4,1/21/0/1;E/4,12/22/0/8;E/4,3/23/1/8
16:V/3,11/20/0/8;V/2,3/24/0/11;E/4,11/22/0/8;E/4,2/25/0/11;E/4,3/26/8/11
17:V/3,8/1/0/9;V/2,3/5/0/11;E/4,8/3/0/9;E/4,2/6/0/11;E/4,3/7/9/11
20:V/3,11/8/0/3;V/6,3/9/0/8;E/4,11/10/0/3;E/4,6/11/0/8;E/4,3/12/3/8
23:V/3,5/9/0/8;V/2,3/13/0/11;E/4,5/11/0/8;E/4,2/14/0/11;E/4,3/15/8/11
24:V/3,1/0/0/1;V/9,3/1/0/9;E/4,1/2/0/1;E/4,9/3/0/9;E/4,3/4/1/9
25:V/3,8/1/0/9;V/2,3/5/0/11;E/4,8/3/0/9;E/4,2/6/0/11;E/4,3/7/9/11
29:V/3,1/27/0/1;V/7,3/28/0/5;E/4,1/29/0/1;E/4,7/30/0/5;E/4,3/31/1/5
32:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
33:V/3,1/35/0/1;V/12,3/36/0/14;E/4,1/37/0/1;E/4,12/38/0/14;E/4,3/39/1/14
34:V/3,11/36/0/14;V/2,3/40/0/27;E/4,11/38/0/14;E/4,2/41/0/27;E/4,3/42/14/27
38:V/3,1/43/0/1;V/6,3/44/0/14;E/4,1/45/0/1;E/4,6/46/0/14;E/4,3/47/1/14
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/14;V/2,3/48/0/27;E/4,5/46/0/14;E/4,2/49/0/27;E/4,3/50/14/27
42:V/3,1/43/0/1;V/12,3/44/0/14;E/4,1/45/0/1;E/4,12/46/0/14;E/4,3/47/1/14
43:V/3,11/44/0/14;V/2,3/48/0/27;E/4,11/46/0/14;E/4,2/49/0/27;E/4,3/50/14/27
44:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
47:V/3,1/35/0/1;V/6,3/36/0/14;E/4,1/37/0/1;E/4,6/38/0/14;E/4,3/39/1/14
50:V/3,5/36/0/14;V/2,3/40/0/27;E/4,5/38/0/14;E/4,2/41/0/27;E/4,3/42/14/27
51:V/3,1/27/0/1;V/9,3/28/0/5;E/4,1/29/0/1;E/4,9/30/0/5;E/4,3/31/1/5
52:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;38246661/100000000,38756463/100000000;4,3824,0,2545,5915,28525;10,3875646300,0,2562212914,5956004985,220641928154
1;C;0,2;7595251/20000000;2,37,0,0,60,200;2,37,0,0,60,200
1;C;2,3;36174157/100000000;2,36,0,0,60,0;4,3617,0,0,6009,123838
1;L;3,4;36174157/100000000,36186493/100000000;4,3617,0,0,6009,123838;6,361864,0,0,601500,123500000
1;L;4,5;36186493/100000000,36672983/100000000;6,361864,0,0,601500,123500000;8,36672983,0,0,60558222,96397432
1;L;5,6;36672983/100000000,1471369/4000000;8,36672983,0,0,60558222,96397432;8,36784225,0,0,60650000,0
1;L;6,7;1471369/4000000,1495729/4000000;8,36784225,0,0,60650000,0;8,37393225,0,0,61150000,0
1;L;7,8;1495729/4000000,4705501/12500000;8,37393225,0,0,61150000,0;10,3764400800,0,0,6135471221,1792561538318
1;L;8,9;4705501/12500000,37717407/100000000;10,3764400800,0,0,6135471221,1792561538318;8,37717407,0,0,61414499,25157998
2;L;0,1;38246661/100000000,38756463/100000000;8,38246661,0,25532079,59150000,141937759;10,3875646300,0,2562212914,5956004985,220641928154
3;C;0,2;7595251/20000000;2,37,0,0,60,200;2,37,0,0,60,200
3;C;2,3;36174157/100000000;2,36,0,0,60,0;4,3617,0,0,6009,123838
3;L;3,4;36174157/100000000,36186493/100000000;4,3617,0,0,6009,123838;6,361864,0,0,601500,123500000
3;L;4,5;36186493/100000000,36672983/100000000;6,361864,0,0,601500,123500000;8,36672983,0,0,60558222,96397432
3;L;5,6;36672983/100000000,1471369/4000000;8,36672983,0,0,60558222,96397432;8,36784225,0,0,60650000,0
3;L;6,7;1471369/4000000,1495729/4000000;8,36784225,0,0,60650000,0;8,37393225,0,0,61150000,0
3;L;7,8;1495729/4000000,4705501/12500000;8,37393225,0,0,61150000,0;10,3764400800,0,0,6135471221,1792561538318
3;L;8,9;4705501/12500000,37717407/100000000;10,3764400800,0,0,6135471221,1792561538318;8,37717407,0,0,61414499,25157998
4;L;1,2;38756463/100000000,7595251/20000000;10,3875646300,0,2562212914,5956004985,220641928154;8,37976255,0,21886205,59650000,30697975
4;L;2,3;7595251/20000000,36174157/100000000;8,37976255,0,21886205,59650000,30697975;10,3617415700,0,372258188,6008732702,473298515048
4;L;3,4;36174157/100000000,36186493/100000000;10,3617415700,0,372258188,6008732702,473298515048;8,36186493,0,1119568,60150000,167493376
4;L;4,5;36186493/100000000,36672983/100000000;8,36186493,0,1119568,60150000,167493376;8,36672983,0,0,60558222,96397432
4;L;5,6;36672983/100000000,1471369/4000000;8,36672983,0,0,60558222,96397432;8,36784225,0,0,60650000,0
4;L;6,7;1471369/4000000,1495729/4000000;8,36784225,0,0,60650000,0;8,37393225,0,0,61150000,0
4;L;7,8;1495729/4000000,4705501/12500000;8,37393225,0,0,61150000,0;10,3764400800,0,0,6135471221,1792561538318
4;L;8,9;4705501/12500000,37717407/100000000;10,3764400800,0,0,6135471221,1792561538318;8,37717407,0,0,61414499,25157998
5;C;0,11;8010991/25000000;2,32,0,0,54,568;4,3204,0,0,5607,1203102
6;C;0,11;8010991/25000000;2,32,0,0,56,128;4,3204,0,0,5607,1203102
7;L;9,10;37717407/100000000,17282717/50000000;8,37717407,0,0,61414499,25157998;8,34565434,0,0,58792375,83718750
7;L;10,11;17282717/50000000,8010991/25000000;8,34565434,0,0,58792375,83718750;4,3204,0,0,5607,1203102
8;C;0,3;36174157/100000000;2,36,60,60,0,0;4,3617,6009,6009,0,123838
9;C;0,8;36174157/100000000;2,36,13,60,0,3431;2,36,14,62,0,3160
10;C;0,3;36174157/100000000;2,36,60,60,0,0;4,3617,6009,6009,0,123838
11;C;0,8;36174157/100000000;2,36,13,60,0,3431;2,36,14,62,0,3160
12;C;3,8;36174157/100000000;4,3617,6009,6009,0,123838;2,36,62,14,0,3160
13;C;0,11;8010991/25000000;2,32,13,41,0,4550;2,32,14,42,0,4440
14;C;0,11;8010991/25000000;2,32,13,42,0,4467;2,32,14,42,0,4440
15;C;8,11;8010991/25000000;2,32,14,62,0,2360;2,32,14,42,0,4440
16;C;0,1;38246661/100000000;2,38,60,60,4,368;2,38,60,60,4,368
17;C;0,1;38246661/100000000;2,38,60,60,3,382;2,38,60,60,4,368
18;C;1,3;36174157/100000000;4,3617,5957,5957,312,1173614;4,3617,6009,6009,0,123838
19;C;0,1;38246661/100000000;2,38,0,60,43,302;2,38,0,60,43,302
20;C;0,8;36174157/100000000;2,36,0,60,6,3528;2,36,0,62,7,3258
21;C;0,1;38246661/100000000;2,38,0,60,43,302;2,38,0,60,43,302
22;C;0,8;36174157/100000000;2,36,0,60,4,3568;2,36,0,62,7,3258
23;C;1,8;36174157/100000000;4,3617,5957,0,4260,558951;2,36,62,0,7,3258
24;C;0,11;8010991/25000000;2,32,0,41,6,4647;2,32,0,42,6,4564
25;C;0,11;8010991/25000000;2,32,0,42,3,4618;2,32,0,42,6,4564
26;C;8,11;8010991/25000000;2,32,0,62,7,2458;2,32,0,42,6,4564
27;C;0,1;38246661/100000000;2,38,0,0,60,400;2,38,0,0,60,400
28;C;0,2;7595251/20000000;2,37,0,0,60,200;2,37,0,0,60,200
28;C;2,3;36174157/100000000;2,36,0,0,60,0;4,3617,0,0,6009,123838
28;L;3,4;36174157/100000000,36186493/100000000;4,3617,0,0,6009,123838;6,361864,0,0,601500,123500000
28;L;4,5;36186493/100000000,36672983/100000000;6,361864,0,0,601500,123500000;8,36672983,0,0,60558222,96397432
29;C;0,1;38246661/100000000;2,38,0,0,60,400;2,38,0,0,60,400
30;C;0,2;7595251/20000000;2,37,0,0,60,200;2,37,0,0,60,200
30;C;2,3;36174157/100000000;2,36,0,0,60,0;4,3617,0,0,6009,123838
30;L;3,4;36174157/100000000,36186493/100000000;4,3617,0,0,6009,123838;6,361864,0,0,601500,123500000
30;L;4,5;36186493/100000000,36672983/100000000;6,361864,0,0,601500,123500000;8,36672983,0,0,60558222,96397432
31;C;1,3;36174157/100000000;2,36,0,0,60,0;4,3617,0,0,6009,123838
31;L;3,4;36174157/100000000,36186493/100000000;4,3617,0,0,6009,123838;6,361864,0,0,601500,123500000
31;L;4,5;36186493/100000000,36672983/100000000;6,361864,0,0,601500,123500000;8,36672983,0,0,60558222,96397432
32;C;0,27;13838329/100000000;2,13,0,0,33,422;10,1383832900,0,0,3719990405,773415871950
33;C;0,27;13838329/100000000;2,13,0,0,36,8;10,1383832900,0,0,3719990405,773415871950
34;C;5,7;36672983/100000000;8,36672983,0,0,60558222,96397432;2,36,0,0,59,238
34;C;7,8;1495729/4000000;2,37,0,0,59,438;2,37,0,0,59,438
34;C;8,10;17282717/50000000;4,3456,0,0,5821,1351918;2,34,0,0,58,72
34;L;10,11;17282717/50000000,8010991/25000000;2,34,0,0,58,72;8,32043964,0,0,56607388,47634912
34;L;11,12;8010991/25000000,15598051/50000000;8,32043964,0,0,56607388,47634912;10,3119610200,0,0,5585347022,1287671463032
34;L;12,13;15598051/50000000,230993/781250;10,3119610200,0,0,5585347022,1287671463032;10,2956710400,0,0,5437564159,33517245438
34;L;13,14;230993/781250,5896843/20000000;10,2956710400,0,0,5437564159,33517245438;8,29484215,0,0,54299369,52403678
34;L;14,15;5896843/20000000,27981787/100000000;8,29484215,0,0,54299369,52403678;8,27981787,0,0,52897813,159634062
34;L;15,16;27981787/100000000,6610037/25000000;8,27981787,0,0,52897813,159634062;10,2644014800,0,0,5141998433,230051089022
34;L;16,17;6610037/25000000,2494219/10000000;10,2644014800,0,0,5141998433,230051089022;8,24942190,0,0,49942156,108143328
34;L;17,18;2494219/10000000,2348791/10000000;8,24942190,0,0,49942156,108143328;10,2348791000,0,0,4846432708,13655573472
34;L;18,19;2348791/10000000,22369069/100000000;10,2348791000,0,0,4846432708,13655573472;8,22369069,0,0,47295950,27195000
34;L;19,20;22369069/100000000,22077311/100000000;8,22369069,0,0,47295950,27195000;8,22077311,0,0,46986499,23445998
34;L;20,21;22077311/100000000,20710391/100000000;8,22077311,0,0,46986499,23445998;8,20710391,0,0,45508670,109662200
34;L;21,22;20710391/100000000,387743/2000000;8,20710391,0,0,45508670,109662200;10,1938715000,0,0,4403084119,482019987678
34;L;22,23;387743/2000000,18107589/100000000;10,1938715000,0,0,4403084119,482019987678;10,1810758900,0,0,4255301256,441369644928
34;L;23,24;18107589/100000000,4217927/25000000;10,1810758900,0,0,4255301256,441369644928;8,16871708,0,0,41075184,118732288
34;L;24,25;4217927/25000000,7839753/50000000;8,16871708,0,0,41075184,118732288;10,1567950600,0,0,3959735531,1049072296078
34;L;25,26;7839753/50000000,1816373/12500000;10,1567950600,0,0,3959735531,1049072296078;8,14530984,0,0,38119527,122592542
34;L;26,27;1816373/12500000,13838329/100000000;8,14530984,0,0,38119527,122592542;10,1383832900,0,0,3719990405,773415871950
35;C;0,1;38246661/100000000;2,38,41,60,0,2319;2,38,41,60,0,2319
36;C;0,14;5896843/20000000;2,29,10,60,0,2100;2,29,11,63,0,1710
37;C;0,1;38246661/100000000;2,38,60,41,0,2319;2,38,60,41,0,2319
38;C;0,14;5896843/20000000;2,29,10,60,0,2100;2,29,11,63,0,1710
39;C;1,14;5896843/20000000;2,29,60,41,0,519;2,29,63,11,0,1710
40;C;0,27;13838329/100000000;2,13,10,10,0,2400;2,13,12,12,0,2312
41;C;0,27;13838329/100000000;2,13,10,10,0,2400;2,13,12,12,0,2312
42;C;14,20;22077311/100000000;2,22,11,63,0,310;2,22,11,41,0,2598
42;C;20,27;13838329/100000000;2,13,11,41,0,798;2,13,12,12,0,2312
43;C;0,1;38246661/100000000;2,38,0,60,22,3032;2,38,0,60,22,3032
44;C;0,14;5896843/20000000;2,29,0,60,5,2150;2,29,0,63,6,1759
45;C;0,1;38246661/100000000;2,38,0,60,22,3032;2,38,0,60,22,3032
46;C;0,14;5896843/20000000;2,29,0,60,2,2192;2,29,0,63,6,1759
47;C;1,14;5896843/20000000;2,29,60,0,22,1232;2,29,63,0,6,1759
48;C;0,27;13838329/100000000;2,13,0,10,4,2468;2,13,0,12,4,2424
49;C;0,27;13838329/100000000;2,13,0,10,0,2500;2,13,0,12,4,2424
50;C;14,20;22077311/100000000;2,22,0,63,6,359;2,22,0,41,5,2669
50;C;20,27;13838329/100000000;2,13,0,41,5,869;2,13,0,12,4,2424
51;C;0,1;38246661/100000000;2,38,0,0,43,3902;2,38,0,0,43,3902
52;C;0,19;22369069/100000000;2,22,0,0,26,3048;2,22,0,0,28,2832
53;C;0,1;38246661/100000000;2,38,0,0,43,3902;2,38,0,0,43,3902
54;C;0,19;22369069/100000000;2,22,0,0,27,2942;2,22,0,0,28,2832
55;C;1,19;22369069/100000000;2,22,0,0,43,702;2,22,0,0,28,2832
56;C;0,1;38246661/100000000;2,38,8,50,0,5036;2,38,8,50,0,5036
57;C;0,19;22369069/100000000;2,22,8,8,0,4272;2,22,9,9,0,4238
58;C;0,1;38246661/100000000;2,38,8,50,0,5036;2,38,8,50,0,5036
59;C;0,19;22369069/100000000;2,22,8,8,0,4272;2,22,9,9,0,4238
60;C;1,19;22369069/100000000;2,22,8,50,0,1836;2,22,9,9,0,4238
61;C;0,1;38246661/100000000;2,38,0,50,4,5068;2,38,0,50,4,5068
62;C;0,19;22369069/100000000;2,22,0,8,3,4318;2,22,0,9,3,4301
63;C;0,1;38246661/100000000;2,38,0,50,4,5068;2,38,0,50,4,5068
64;C;0,19;22369069/100000000;2,22,0,8,0,4336;2,22,0,9,3,4301
65;C;1,19;22369069/100000000;2,22,0,50,4,1868;2,22,0,9,3,4301
MASS SLACK NUMERATOR 47974356418725851697927267227855344616341644973908388162990594173300389224462008824824469626612565241059

BIN 36: PQP; (21/17,106/85]; gamma0=5929/10000; mass ceiling=98029353/100000000.
GAMMA 0=5929/10000;1=228788280000/383206565377;2=5979/10000;3=182383110000/302786405767;4=6029/10000;5=212960160000/351550325377;6=6079/10000;7=6129/10000;8=121588740000/197429762557;9=121229010000/196806350467;10=6179/10000;11=106480080000/171246454777;12=6229/10000;13=182742840000/291115685377;14=6279/10000;15=6329/10000;16=6379/10000;17=6429/10000;18=6479/10000;19=91461352500/140302637051;20=6529/10000;21=6579/10000;22=6629/10000;23=6679/10000;24=6729/10000;25=6779/10000;26=6829/10000;27=137057130000/199744265377;28=6879/10000;29=6929/10000;30=6979/10000;31=7029/10000;32=7079/10000;33=7129/10000;34=7179/10000;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38143250,38655326;1,2,38655326,37974762;2,3,37974762,36340438;3,4,36340438,36356217;4,5,36356217,36696253;5,6,36696253,36954241;6,7,36954241,37564641;7,8,37564641,37928134;8,9,37928134,37943283;9,10,37943283,35407917;10,11,35407917,31047552;11,12,31047552,30675107;12,13,30675107,29073541;13,14,29073541,29018872;14,15,29018872,27408598;15,16,27408598,25844286;16,17,25844286,24325936;17,18,24325936,22853548;18,19,22853548,21712629;19,20,21712629,21427121;20,21,21427121,20046657;21,22,20046657,18712154;22,23,18712154,17423613;23,24,17423613,16181034;24,25,16181034,14984416;25,26,14984416,13833761;26,27,13833761,13107622;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;330216537727/91731150000,1/3,383206565377/183462300000;-237212960874319
1;0,3,7;44/255,2,1;-2
3;0,3,7;214/255,2,1;-1
4;2,3,7;293/255,7/3,148/255;-299
8;1,3,6;214/255,10/3,106/85;-214
10;10;1;-1
12;10;1;-1
13;2,3,10;169/85,1/3,148/255;-1
18;1,4,13;330216537727/91731150000,1/3,383206565377/183462300000;-237212960874319
19;0,3,13;214/255,2,1;-1
21;0,3,13;44/255,2,1;-2
22;2,3,13;293/255,7/3,148/255;-299
26;1,3,12;214/255,10/3,106/85;-214
27;0,1,7;2/3,2,1;-1
28;0,3,7;44/255,2,1;-2
30;0,3,7;214/255,2,1;-1
31;2,3,7;548/255,7/3,127/170;-214
35;1,3,6;214/255,10/3,106/85;-214
36;1,4,10;199744265377/45865575000,2,383206565377/183462300000;-62486960874319
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;214/255,2,1;-1
48;0,3,13;44/255,2,1;-2
49;2,3,13;548/255,7/3,127/170;-214
53;1,3,12;214/255,10/3,106/85;-214
54;0,1,7;5/3,2,1;-1
55;0,3,7;44/255,2,1;-2
56;1,4,7;53051103313/11466393750,5/3,383206565377/183462300000;-106168460874319
57;0,3,7;214/255,2,1;-1
58;2,3,7;803/255,17/6,339/340;-214
60;1,4,12;140302637051/22932787500,1,383206565377/183462300000;-62486960874319
62;1,3,6;214/255,10/3,106/85;-214
63;1,4,6;140302637051/22932787500,1,383206565377/183462300000;-62486960874319
64;10;1;-1
65;1,4,6;140302637051/22932787500,1,383206565377/183462300000;-62486960874319
66;10;1;-1
69;1,4,12;140302637051/22932787500,1,383206565377/183462300000;-62486960874319
72;0,1,13;5/3,2,1;-1
73;0,3,13;214/255,2,1;-1
74;1,4,6;140302637051/22932787500,1,383206565377/183462300000;-62486960874319
75;0,3,13;44/255,2,1;-2
76;2,3,13;803/255,17/6,339/340;-214
78;1,4,9;53051103313/11466393750,5/3,383206565377/183462300000;-106168460874319
80;1,3,12;214/255,10/3,106/85;-214
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;192477325682885,92875132224796835475000,1654776894385005,25415
5;8,4,2,3;1654776894385005,91739321909590814775000,1802506464989655,10455
6;5,4,12,3;347413216804835,5733196875,1651173734126355,85
7;11,4,2,3;1651173734126355,47243792280886351846875,1802506464989655,5355
9;1,4,10,3;192477325682885,112301105449441297556250,347413216804835,3655
11;1,4,6,3;192477325682885,378137946104408148778125,1651173734126355,12665
14;5,4,2,3;1651173734126355,47243792280886351846875,1802506464989655,5355
15;1,4,12,3;192477325682885,378137946104408148778125,1651173734126355,12665
16;11,4,2,3;1651173734126355,47243792280886351846875,1802506464989655,5355
17;8,4,2,3;1654776894385005,91739321909590814775000,1802506464989655,10455
20;11,4,6,3;347413216804835,5733196875,1651173734126355,85
23;5,4,2,3;1651173734126355,47243792280886351846875,1802506464989655,5355
24;1,4,9,3;192477325682885,92875132224796835475000,1654776894385005,25415
25;8,4,2,3;1654776894385005,91739321909590814775000,1802506464989655,10455
29;1,4,7,3;192477325682885,325986810920530380450000,1648746973448655,935
32;8,4,2,3;1648746973448655,1072211246091424619550000,4524126228365770,17935
33;1,4,12,3;192477325682885,1307837470810265190225000,3693984693848655,1360
34;11,4,2,3;3693984693848655,45865575000,4524126228365770,85
38;1,4,6,3;192477325682885,1307837470810265190225000,3693984693848655,1360
41;5,4,2,3;3693984693848655,45865575000,4524126228365770,85
42;1,4,12,3;192477325682885,1307837470810265190225000,3693984693848655,1360
43;11,4,2,3;3693984693848655,45865575000,4524126228365770,85
44;8,4,2,3;1648746973448655,1072211246091424619550000,4524126228365770,17935
47;1,4,6,3;192477325682885,1307837470810265190225000,3693984693848655,1360
50;5,4,2,3;3693984693848655,45865575000,4524126228365770,85
51;1,4,9,3;192477325682885,325986810920530380450000,1648746973448655,935
52;8,4,2,3;1648746973448655,1072211246091424619550000,4524126228365770,17935
59;1,4,2,3;192477325682885,858633049012500000000000,4019732082053020,7225
61;1,4,2,3;192477325682885,858633049012500000000000,4019732082053020,7225
68;1,4,2,3;192477325682885,858633049012500000000000,4019732082053020,7225
70;1,4,2,3;192477325682885,858633049012500000000000,4019732082053020,7225
71;1,4,2,3;192477325682885,858633049012500000000000,4019732082053020,7225
77;1,4,2,3;192477325682885,858633049012500000000000,4019732082053020,7225
79;1,4,2,3;192477325682885,858633049012500000000000,4019732082053020,7225
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/9;E/4,1/2/0/1;E/4,7/3/0/9;E/4,3/4/1/9
5:V/3,8/1/0/9;V/2,3/5/0/11;E/4,8/3/0/9;E/4,2/6/0/11;E/4,3/7/9/11
6:V/3,5/8/0/3;V/12,3/9/0/8;E/4,5/10/0/3;E/4,12/11/0/8;E/4,3/12/3/8
7:V/3,11/9/0/8;V/2,3/13/0/11;E/4,11/11/0/8;E/4,2/14/0/11;E/4,3/15/8/11
9:V/3,1/16/0/1;V/10,3/8/0/3;E/4,1/17/0/1;E/4,10/10/0/3;E/4,3/18/1/3
11:V/3,1/19/0/1;V/6,3/20/0/8;E/4,1/21/0/1;E/4,6/22/0/8;E/4,3/23/1/8
14:V/3,5/20/0/8;V/2,3/24/0/11;E/4,5/22/0/8;E/4,2/25/0/11;E/4,3/26/8/11
15:V/3,1/19/0/1;V/12,3/20/0/8;E/4,1/21/0/1;E/4,12/22/0/8;E/4,3/23/1/8
16:V/3,11/20/0/8;V/2,3/24/0/11;E/4,11/22/0/8;E/4,2/25/0/11;E/4,3/26/8/11
17:V/3,8/1/0/9;V/2,3/5/0/11;E/4,8/3/0/9;E/4,2/6/0/11;E/4,3/7/9/11
20:V/3,11/8/0/3;V/6,3/9/0/8;E/4,11/10/0/3;E/4,6/11/0/8;E/4,3/12/3/8
23:V/3,5/9/0/8;V/2,3/13/0/11;E/4,5/11/0/8;E/4,2/14/0/11;E/4,3/15/8/11
24:V/3,1/0/0/1;V/9,3/1/0/9;E/4,1/2/0/1;E/4,9/3/0/9;E/4,3/4/1/9
25:V/3,8/1/0/9;V/2,3/5/0/11;E/4,8/3/0/9;E/4,2/6/0/11;E/4,3/7/9/11
29:V/3,1/27/0/1;V/7,3/28/0/5;E/4,1/29/0/1;E/4,7/30/0/5;E/4,3/31/1/5
32:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
33:V/3,1/35/0/1;V/12,3/36/0/13;E/4,1/37/0/1;E/4,12/38/0/13;E/4,3/39/1/13
34:V/3,11/36/0/13;V/2,3/40/0/27;E/4,11/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
38:V/3,1/43/0/1;V/6,3/44/0/13;E/4,1/45/0/1;E/4,6/46/0/13;E/4,3/47/1/13
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/13;V/2,3/48/0/27;E/4,5/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
42:V/3,1/43/0/1;V/12,3/44/0/13;E/4,1/45/0/1;E/4,12/46/0/13;E/4,3/47/1/13
43:V/3,11/44/0/13;V/2,3/48/0/27;E/4,11/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
44:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
47:V/3,1/35/0/1;V/6,3/36/0/13;E/4,1/37/0/1;E/4,6/38/0/13;E/4,3/39/1/13
50:V/3,5/36/0/13;V/2,3/40/0/27;E/4,5/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
51:V/3,1/27/0/1;V/9,3/28/0/5;E/4,1/29/0/1;E/4,9/30/0/5;E/4,3/31/1/5
52:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;152573/400000,19327663/50000000;4,3814,0,2437,5929,34949;10,3865532600,0,2453599588,5970364307,1145167049758
1;C;0,2;18987381/50000000;2,37,0,0,60,200;2,37,0,0,60,200
1;C;2,3;18170219/50000000;2,36,0,0,60,0;4,3634,0,0,6024,102848
1;L;3,4;18170219/50000000,36356217/100000000;4,3634,0,0,6024,102848;4,3635,0,0,6029,2318
1;L;4,5;36356217/100000000,36696253/100000000;4,3635,0,0,6029,2318;10,3669625300,0,0,6057743220,161088063200
1;L;5,6;36696253/100000000,36954241/100000000;10,3669625300,0,0,6057743220,161088063200;8,36954241,0,0,60790000,0
1;L;6,7;36954241/100000000,37564641/100000000;8,36954241,0,0,60790000,0;8,37564641,0,0,61290000,0
1;L;7,8;37564641/100000000,18964067/50000000;8,37564641,0,0,61290000,0;8,37928134,0,0,61585821,103511918
1;L;8,9;18964067/50000000,37943283/100000000;8,37928134,0,0,61585821,103511918;10,3794328300,0,0,6159811903,639319037182
2;L;0,1;152573/400000,19327663/50000000;8,38143250,0,24454890,59290000,155087900;10,3865532600,0,2453599588,5970364307,1145167049758
3;C;0,2;18987381/50000000;2,37,0,0,60,200;2,37,0,0,60,200
3;C;2,3;18170219/50000000;2,36,0,0,60,0;4,3634,0,0,6024,102848
3;L;3,4;18170219/50000000,36356217/100000000;4,3634,0,0,6024,102848;4,3635,0,0,6029,2318
3;L;4,5;36356217/100000000,36696253/100000000;4,3635,0,0,6029,2318;10,3669625300,0,0,6057743220,161088063200
3;L;5,6;36696253/100000000,36954241/100000000;10,3669625300,0,0,6057743220,161088063200;8,36954241,0,0,60790000,0
3;L;6,7;36954241/100000000,37564641/100000000;8,36954241,0,0,60790000,0;8,37564641,0,0,61290000,0
3;L;7,8;37564641/100000000,18964067/50000000;8,37564641,0,0,61290000,0;8,37928134,0,0,61585821,103511918
3;L;8,9;18964067/50000000,37943283/100000000;8,37928134,0,0,61585821,103511918;10,3794328300,0,0,6159811903,639319037182
4;L;1,2;19327663/50000000,18987381/50000000;10,3865532600,0,2453599588,5970364307,1145167049758;8,37974762,0,21101282,59790000,97956476
4;L;2,3;18987381/50000000,18170219/50000000;8,37974762,0,21101282,59790000,97956476;10,3634043800,0,340578699,6023490703,1651532598981
4;L;3,4;18170219/50000000,36356217/100000000;10,3634043800,0,340578699,6023490703,1651532598981;8,36356217,0,1214549,60290000,70726599
4;L;4,5;36356217/100000000,36696253/100000000;8,36356217,0,1214549,60290000,70726599;10,3669625300,0,0,6057743220,161088063200
4;L;5,6;36696253/100000000,36954241/100000000;10,3669625300,0,0,6057743220,161088063200;8,36954241,0,0,60790000,0
4;L;6,7;36954241/100000000,37564641/100000000;8,36954241,0,0,60790000,0;8,37564641,0,0,61290000,0
4;L;7,8;37564641/100000000,18964067/50000000;8,37564641,0,0,61290000,0;8,37928134,0,0,61585821,103511918
4;L;8,9;18964067/50000000,37943283/100000000;8,37928134,0,0,61585821,103511918;10,3794328300,0,0,6159811903,639319037182
5;C;0,11;242559/781250;2,31,0,0,53,582;4,3104,0,0,5526,1006648
6;C;0,11;242559/781250;2,31,0,0,55,150;4,3104,0,0,5526,1006648
7;L;9,10;37943283/100000000,35407917/100000000;10,3794328300,0,0,6159811903,639319037182;10,3540791700,0,0,5950455163,706253286862
7;L;10,11;35407917/100000000,242559/781250;10,3540791700,0,0,5950455163,706253286862;4,3104,0,0,5526,1006648
8;C;0,3;18170219/50000000;2,36,60,60,0,0;4,3634,6024,6024,0,102848
9;C;0,8;18170219/50000000;2,36,12,60,0,3456;2,36,13,62,0,3187
10;C;0,3;18170219/50000000;2,36,60,60,0,0;4,3634,6024,6024,0,102848
11;C;0,8;18170219/50000000;2,36,12,60,0,3456;2,36,13,62,0,3187
12;C;3,8;18170219/50000000;4,3634,6024,6024,0,102848;2,36,62,13,0,3187
13;C;0,11;242559/781250;2,31,12,40,0,4456;2,31,13,41,0,4350
14;C;0,11;242559/781250;2,31,12,41,0,4375;2,31,13,41,0,4350
15;C;8,11;242559/781250;2,31,13,62,0,2187;2,31,13,41,0,4350
16;C;0,1;152573/400000;2,38,60,60,2,392;2,38,60,60,2,392
17;C;0,1;152573/400000;2,38,60,60,2,392;2,38,60,60,2,392
18;C;1,3;18170219/50000000;4,3634,5971,5971,198,1295910;4,3634,6024,6024,0,102848
19;C;0,1;152573/400000;2,38,0,60,42,472;2,38,0,60,43,302
20;C;0,8;18170219/50000000;2,36,0,60,6,3528;2,36,0,62,6,3284
21;C;0,1;152573/400000;2,38,0,60,42,472;2,38,0,60,43,302
22;C;0,8;18170219/50000000;2,36,0,60,4,3568;2,36,0,62,6,3284
23;C;1,8;18170219/50000000;4,3634,5971,0,4212,1545271;2,36,62,0,6,3284
24;C;0,11;242559/781250;2,31,0,40,5,4550;2,31,0,41,5,4469
25;C;0,11;242559/781250;2,31,0,41,2,4511;2,31,0,41,5,4469
26;C;8,11;242559/781250;2,31,0,62,6,2284;2,31,0,41,5,4469
27;C;0,1;152573/400000;2,38,0,0,60,400;2,38,0,0,60,400
28;C;0,2;18987381/50000000;2,37,0,0,60,200;2,37,0,0,60,200
28;C;2,3;18170219/50000000;2,36,0,0,60,0;4,3634,0,0,6024,102848
28;L;3,4;18170219/50000000,36356217/100000000;4,3634,0,0,6024,102848;4,3635,0,0,6029,2318
28;L;4,5;36356217/100000000,36696253/100000000;4,3635,0,0,6029,2318;10,3669625300,0,0,6057743220,161088063200
29;C;0,1;152573/400000;2,38,0,0,60,400;2,38,0,0,60,400
30;C;0,2;18987381/50000000;2,37,0,0,60,200;2,37,0,0,60,200
30;C;2,3;18170219/50000000;2,36,0,0,60,0;4,3634,0,0,6024,102848
30;L;3,4;18170219/50000000,36356217/100000000;4,3634,0,0,6024,102848;4,3635,0,0,6029,2318
30;L;4,5;36356217/100000000,36696253/100000000;4,3635,0,0,6029,2318;10,3669625300,0,0,6057743220,161088063200
31;C;1,3;18170219/50000000;2,36,0,0,60,0;4,3634,0,0,6024,102848
31;L;3,4;18170219/50000000,36356217/100000000;4,3634,0,0,6024,102848;4,3635,0,0,6029,2318
31;L;4,5;36356217/100000000,36696253/100000000;4,3635,0,0,6029,2318;10,3669625300,0,0,6057743220,161088063200
32;C;0,27;6553811/50000000;2,13,0,0,32,552;8,13107622,0,0,36204449,145212798
33;C;0,27;6553811/50000000;2,13,0,0,35,150;8,13107622,0,0,36204449,145212798
34;C;5,7;36696253/100000000;10,3669625300,0,0,6057743220,161088063200;2,36,0,0,59,238
34;C;7,10;35407917/100000000;2,35,0,0,59,38;2,35,0,0,57,502
34;L;10,11;35407917/100000000,242559/781250;2,35,0,0,57,502;10,3104755200,0,0,5572033008,315516943872
34;L;11,12;242559/781250,30675107/100000000;10,3104755200,0,0,5572033008,315516943872;10,3067510700,0,0,5538511247,333709009982
34;L;12,13;30675107/100000000,29073541/100000000;10,3067510700,0,0,5538511247,333709009982;10,2907354100,0,0,5391988527,1449400740542
34;L;13,14;29073541/100000000,3627359/12500000;10,2907354100,0,0,5391988527,1449400740542;8,29018872,0,0,53869167,93452222
34;L;14,15;3627359/12500000,13704299/50000000;8,29018872,0,0,53869167,93452222;8,27408598,0,0,52353221,101850318
34;L;15,16;13704299/50000000,12922143/50000000;8,27408598,0,0,52353221,101850318;10,2584428600,0,0,5083727524,923449658848
34;L;16,17;12922143/50000000,1520371/6250000;10,2584428600,0,0,5083727524,923449658848;8,24325936,0,0,49321330,14062200
34;L;17,18;1520371/6250000,5713387/25000000;8,24325936,0,0,49321330,14062200;8,22853548,0,0,47805384,121225088
34;L;18,19;5713387/25000000,21712629/100000000;8,22853548,0,0,47805384,121225088;10,2171262900,0,0,4659681207,98262046302
34;L;19,20;21712629/100000000,21427121/100000000;10,2171262900,0,0,4659681207,98262046302;10,2142712100,0,0,4628943801,574367344798
34;L;20,21;21427121/100000000,20046657/100000000;10,2142712100,0,0,4628943801,574367344798;8,20046657,0,0,44773493,49157902
34;L;21,22;20046657/100000000,9356077/50000000;8,20046657,0,0,44773493,49157902;8,18712154,0,0,43257547,55085582
34;L;22,23;9356077/50000000,17423613/100000000;8,18712154,0,0,43257547,55085582;8,17423613,0,0,41741601,91913598
34;L;23,24;17423613/100000000,8090517/50000000;8,17423613,0,0,41741601,91913598;10,1618103400,0,0,4022565504,1532058451968
34;L;24,25;8090517/50000000,468263/3125000;10,1618103400,0,0,4022565504,1532058451968;10,1498441600,0,0,3870970930,118189870200
34;L;25,26;468263/3125000,13833761/100000000;10,1498441600,0,0,3870970930,118189870200;8,13833761,0,0,37193764,39024608
34;L;26,27;13833761/100000000,6553811/50000000;8,13833761,0,0,37193764,39024608;8,13107622,0,0,36204449,145212798
35;C;0,1;152573/400000;2,38,40,60,0,2400;2,38,40,60,0,2400
36;C;0,13;29073541/100000000;2,29,9,60,0,2119;2,29,10,63,0,1731
37;C;0,1;152573/400000;2,38,60,40,0,2400;2,38,60,40,0,2400
38;C;0,13;29073541/100000000;2,29,9,60,0,2119;2,29,10,63,0,1731
39;C;1,13;29073541/100000000;2,29,60,40,0,600;2,29,63,10,0,1731
40;C;0,27;6553811/50000000;2,13,9,9,0,2438;2,13,11,11,0,2358
41;C;0,27;6553811/50000000;2,13,9,9,0,2438;2,13,11,11,0,2358
42;C;13,20;21427121/100000000;2,21,10,63,0,131;2,21,10,41,0,2419
42;C;20,27;6553811/50000000;2,13,10,41,0,819;2,13,11,11,0,2358
43;C;0,1;152573/400000;2,38,0,60,21,3118;2,38,0,60,21,3118
44;C;0,13;29073541/100000000;2,29,0,60,5,2150;2,29,0,63,5,1781
45;C;0,1;152573/400000;2,38,0,60,21,3118;2,38,0,60,21,3118
46;C;0,13;29073541/100000000;2,29,0,60,1,2198;2,29,0,63,5,1781
47;C;1,13;29073541/100000000;2,29,60,0,21,1318;2,29,63,0,5,1781
48;C;0,27;6553811/50000000;2,13,0,9,3,2501;2,13,0,11,4,2447
49;C;0,27;6553811/50000000;2,13,0,9,0,2519;2,13,0,11,4,2447
50;C;13,20;21427121/100000000;2,21,0,63,5,181;2,21,0,41,5,2469
50;C;20,27;6553811/50000000;2,13,0,41,5,869;2,13,0,11,4,2447
51;C;0,1;152573/400000;2,38,0,0,42,4072;2,38,0,0,43,3902
52;C;0,19;21712629/100000000;2,21,0,0,25,2950;2,21,0,0,27,2742
53;C;0,1;152573/400000;2,38,0,0,43,3902;2,38,0,0,43,3902
54;C;0,19;21712629/100000000;2,21,0,0,27,2742;2,21,0,0,27,2742
55;C;1,19;21712629/100000000;2,21,0,0,43,502;2,21,0,0,27,2742
56;C;0,1;152573/400000;2,38,7,49,0,5150;2,38,8,50,0,5036
57;C;0,19;21712629/100000000;2,21,7,7,0,4102;2,21,8,8,0,4072
58;C;0,1;152573/400000;2,38,7,50,0,5051;2,38,8,50,0,5036
59;C;0,19;21712629/100000000;2,21,7,7,0,4102;2,21,8,8,0,4072
60;C;1,19;21712629/100000000;2,21,8,50,0,1636;2,21,8,8,0,4072
61;C;0,1;152573/400000;2,38,0,49,4,5167;2,38,0,50,4,5068
62;C;0,19;21712629/100000000;2,21,0,7,3,4133;2,21,0,8,3,4118
63;C;0,1;152573/400000;2,38,0,50,3,5082;2,38,0,50,4,5068
64;C;0,19;21712629/100000000;2,21,0,7,0,4151;2,21,0,8,3,4118
65;C;1,19;21712629/100000000;2,21,0,50,4,1668;2,21,0,8,3,4118
MASS SLACK NUMERATOR 3712050495665652162531543353941441626006255049498617366396711284634593894609673682676598955882604758020757

BIN 37: PQP; (106/85,107/85]; gamma0=5943/10000; mass ceiling=98415357/100000000.
GAMMA 0=5943/10000;1=230946660000/385906565377;2=5993/10000;3=186699870000/309226878307;4=6043/10000;5=217276920000/358567085377;6=6093/10000;7=6143/10000;8=125545770000/203246823007;9=124466580000/201376586737;10=6193/10000;11=6243/10000;12=108638460000/173946454777;13=185620680000/295254605377;14=6293/10000;15=6343/10000;16=6393/10000;17=6443/10000;18=6493/10000;19=92540542500/141652637051;20=6543/10000;21=6593/10000;22=6643/10000;23=6693/10000;24=6743/10000;25=6793/10000;26=6843/10000;27=139215510000/202444265377;28=6893/10000;29=6943/10000;30=6993/10000;31=7043/10000;32=7093/10000;33=7143/10000;34=7193/10000;35=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,38049355,38561385;1,2,38561385,37954784;2,3,37954784,36501142;3,4,36501142,36523336;4,5,36523336,36718620;5,6,36718620,37124649;6,7,37124649,37736449;7,8,37736449,38155456;8,9,38155456,37655938;9,10,37655938,36063211;10,11,36063211,30134854;11,12,30134854,30049208;12,13,30049208,28658721;13,14,28658721,28452785;14,15,28452785,26819018;15,16,26819018,25233554;16,17,25233554,23696393;17,18,23696393,22207534;18,19,22207534,21053491;19,20,21053491,20766978;20,21,20766978,19374725;21,22,19374725,18030774;22,23,18030774,16735126;23,24,16735126,15487781;24,25,15487781,14288739;25,26,14288739,13137999;26,27,13137999,12388934;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0;34,35,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;332916537727/91731150000,1/3,385906565377/183462300000;-80090558001691
1;0,3,7;38/255,2,1;-2
3;0,3,7;208/255,2,1;-1
4;2,3,7;311/255,7/3,151/255;-293
8;1,3,6;208/255,10/3,107/85;-208
10;10;1;-1
12;10;1;-1
13;2,3,10;173/85,1/3,151/255;-1
18;1,4,13;332916537727/91731150000,1/3,385906565377/183462300000;-80090558001691
19;0,3,13;208/255,2,1;-1
21;0,3,13;38/255,2,1;-2
22;2,3,13;311/255,7/3,151/255;-293
26;1,3,12;208/255,10/3,107/85;-208
27;0,1,7;2/3,2,1;-1
28;0,3,7;38/255,2,1;-2
30;0,3,7;208/255,2,1;-1
31;2,3,7;566/255,7/3,129/170;-208
35;1,3,6;208/255,10/3,107/85;-208
36;1,4,10;202444265377/45865575000,2,385906565377/183462300000;-21848558001691
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;208/255,2,1;-1
48;0,3,13;38/255,2,1;-2
49;2,3,13;566/255,7/3,129/170;-208
53;1,3,12;208/255,10/3,107/85;-208
54;0,1,7;5/3,2,1;-1
55;0,3,7;38/255,2,1;-2
56;1,4,7;53726103313/11466393750,5/3,385906565377/183462300000;-36409058001691
57;0,3,7;208/255,2,1;-1
58;2,3,7;821/255,17/6,343/340;-208
60;1,4,12;141652637051/22932787500,1,385906565377/183462300000;-21848558001691
62;1,3,6;208/255,10/3,107/85;-208
63;1,4,6;141652637051/22932787500,1,385906565377/183462300000;-21848558001691
64;10;1;-1
65;1,4,6;141652637051/22932787500,1,385906565377/183462300000;-21848558001691
66;10;1;-1
69;1,4,12;141652637051/22932787500,1,385906565377/183462300000;-21848558001691
72;0,1,13;5/3,2,1;-1
73;0,3,13;208/255,2,1;-1
74;1,4,6;141652637051/22932787500,1,385906565377/183462300000;-21848558001691
75;0,3,13;38/255,2,1;-2
76;2,3,13;821/255,17/6,343/340;-208
78;1,4,9;53726103313/11466393750,5/3,385906565377/183462300000;-36409058001691
80;1,3,12;208/255,10/3,107/85;-208
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;64858569856265,2337031848269091312675000,577536517699845,24905
5;8,4,2,3;577536517699845,254340515056584302325000,638967091017795,11985
6;5,4,12,3;118446942325115,5733196875,581457618124395,85
7;11,4,2,3;581457618124395,115270777480510537790625,638967091017795,5610
9;1,4,10,3;64858569856265,250345109673522828168750,118446942325115,3485
11;1,4,6,3;64858569856265,876476472722698914084375,581457618124395,12580
14;5,4,2,3;581457618124395,115270777480510537790625,638967091017795,5610
15;1,4,12,3;64858569856265,876476472722698914084375,581457618124395,12580
16;11,4,2,3;581457618124395,115270777480510537790625,638967091017795,5610
17;8,4,2,3;577536517699845,254340515056584302325000,638967091017795,11985
20;11,4,6,3;118446942325115,5733196875,581457618124395,85
23;5,4,2,3;581457618124395,115270777480510537790625,638967091017795,5610
24;1,4,9,3;64858569856265,2337031848269091312675000,577536517699845,24905
25;8,4,2,3;577536517699845,254340515056584302325000,638967091017795,11985
29;1,4,7,3;64858569856265,667109467813182625350000,507632283768795,1615
32;8,4,2,3;507632283768795,2584133193374282374650000,1530233392712530,18445
33;1,4,12,3;64858569856265,3004857553056591312675000,410868467656265,1785
34;11,4,2,3;410868467656265,45865575000,1530233392712530,85
38;1,4,6,3;64858569856265,3004857553056591312675000,410868467656265,1785
41;5,4,2,3;410868467656265,45865575000,1530233392712530,85
42;1,4,12,3;64858569856265,3004857553056591312675000,410868467656265,1785
43;11,4,2,3;410868467656265,45865575000,1530233392712530,85
44;8,4,2,3;507632283768795,2584133193374282374650000,1530233392712530,18445
47;1,4,6,3;64858569856265,3004857553056591312675000,410868467656265,1785
50;5,4,2,3;410868467656265,45865575000,1530233392712530,85
51;1,4,9,3;64858569856265,667109467813182625350000,507632283768795,1615
52;8,4,2,3;507632283768795,2584133193374282374650000,1530233392712530,18445
59;1,4,2,3;64858569856265,2003477114362500000000000,1352937762952780,7225
61;1,4,2,3;64858569856265,2003477114362500000000000,1352937762952780,7225
68;1,4,2,3;64858569856265,2003477114362500000000000,1352937762952780,7225
70;1,4,2,3;64858569856265,2003477114362500000000000,1352937762952780,7225
71;1,4,2,3;64858569856265,2003477114362500000000000,1352937762952780,7225
77;1,4,2,3;64858569856265,2003477114362500000000000,1352937762952780,7225
79;1,4,2,3;64858569856265,2003477114362500000000000,1352937762952780,7225
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/8;E/4,1/2/0/1;E/4,7/3/0/8;E/4,3/4/1/8
5:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
6:V/3,5/8/0/3;V/12,3/9/0/9;E/4,5/10/0/3;E/4,12/11/0/9;E/4,3/12/3/9
7:V/3,11/9/0/9;V/2,3/13/0/12;E/4,11/11/0/9;E/4,2/14/0/12;E/4,3/15/9/12
9:V/3,1/16/0/1;V/10,3/8/0/3;E/4,1/17/0/1;E/4,10/10/0/3;E/4,3/18/1/3
11:V/3,1/19/0/1;V/6,3/20/0/9;E/4,1/21/0/1;E/4,6/22/0/9;E/4,3/23/1/9
14:V/3,5/20/0/9;V/2,3/24/0/12;E/4,5/22/0/9;E/4,2/25/0/12;E/4,3/26/9/12
15:V/3,1/19/0/1;V/12,3/20/0/9;E/4,1/21/0/1;E/4,12/22/0/9;E/4,3/23/1/9
16:V/3,11/20/0/9;V/2,3/24/0/12;E/4,11/22/0/9;E/4,2/25/0/12;E/4,3/26/9/12
17:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
20:V/3,11/8/0/3;V/6,3/9/0/9;E/4,11/10/0/3;E/4,6/11/0/9;E/4,3/12/3/9
23:V/3,5/9/0/9;V/2,3/13/0/12;E/4,5/11/0/9;E/4,2/14/0/12;E/4,3/15/9/12
24:V/3,1/0/0/1;V/9,3/1/0/8;E/4,1/2/0/1;E/4,9/3/0/8;E/4,3/4/1/8
25:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
29:V/3,1/27/0/1;V/7,3/28/0/5;E/4,1/29/0/1;E/4,7/30/0/5;E/4,3/31/1/5
32:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
33:V/3,1/35/0/1;V/12,3/36/0/13;E/4,1/37/0/1;E/4,12/38/0/13;E/4,3/39/1/13
34:V/3,11/36/0/13;V/2,3/40/0/27;E/4,11/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
38:V/3,1/43/0/1;V/6,3/44/0/13;E/4,1/45/0/1;E/4,6/46/0/13;E/4,3/47/1/13
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/13;V/2,3/48/0/27;E/4,5/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
42:V/3,1/43/0/1;V/12,3/44/0/13;E/4,1/45/0/1;E/4,12/46/0/13;E/4,3/47/1/13
43:V/3,11/44/0/13;V/2,3/48/0/27;E/4,11/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
44:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
47:V/3,1/35/0/1;V/6,3/36/0/13;E/4,1/37/0/1;E/4,6/38/0/13;E/4,3/39/1/13
50:V/3,5/36/0/13;V/2,3/40/0/27;E/4,5/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
51:V/3,1/27/0/1;V/9,3/28/0/5;E/4,1/29/0/1;E/4,9/30/0/5;E/4,3/31/1/5
52:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;7609871/20000000,7712277/20000000;4,3804,0,2328,5943,21918;8,38561385,0,23438741,59845227,30971861
1;C;0,2;1186087/3125000;2,37,0,0,60,200;2,37,0,0,60,200
1;C;2,3;18250571/50000000;2,36,0,0,60,0;4,3650,0,0,6038,85112
1;L;3,4;18250571/50000000,4565417/12500000;4,3650,0,0,6038,85112;4,3652,0,0,6043,4302
1;L;4,5;4565417/12500000,1835931/5000000;4,3652,0,0,6043,4302;10,3671862000,0,0,6059589094,23752518328
1;L;5,6;1835931/5000000,37124649/100000000;10,3671862000,0,0,6059589094,23752518328;8,37124649,0,0,60930000,0
1;L;6,7;37124649/100000000,37736449/100000000;8,37124649,0,0,60930000,0;8,37736449,0,0,61430000,0
1;L;7,8;37736449/100000000,596179/1562500;8,37736449,0,0,61430000,0;10,3815545600,0,0,6177010206,1829943675128
2;L;0,1;7609871/20000000,7712277/20000000;8,38049355,0,23367094,59430000,117995164;8,38561385,0,23438741,59845227,30971861
3;C;0,2;1186087/3125000;2,37,0,0,60,200;2,37,0,0,60,200
3;C;2,3;18250571/50000000;2,36,0,0,60,0;4,3650,0,0,6038,85112
3;L;3,4;18250571/50000000,4565417/12500000;4,3650,0,0,6038,85112;4,3652,0,0,6043,4302
3;L;4,5;4565417/12500000,1835931/5000000;4,3652,0,0,6043,4302;10,3671862000,0,0,6059589094,23752518328
3;L;5,6;1835931/5000000,37124649/100000000;10,3671862000,0,0,6059589094,23752518328;8,37124649,0,0,60930000,0
3;L;6,7;37124649/100000000,37736449/100000000;8,37124649,0,0,60930000,0;8,37736449,0,0,61430000,0
3;L;7,8;37736449/100000000,596179/1562500;8,37736449,0,0,61430000,0;10,3815545600,0,0,6177010206,1829943675128
4;L;1,2;7712277/20000000,1186087/3125000;8,38561385,0,23438741,59845227,30971861;8,37954784,0,20192742,59930000,170521436
4;L;2,3;1186087/3125000,18250571/50000000;8,37954784,0,20192742,59930000,170521436;10,3650114200,0,310218829,6037633955,728995984709
4;L;3,4;18250571/50000000,4565417/12500000;10,3650114200,0,310218829,6037633955,728995984709;8,36523336,0,1047504,60430000,135369984
4;L;4,5;4565417/12500000,1835931/5000000;8,36523336,0,1047504,60430000,135369984;10,3671862000,0,0,6059589094,23752518328
4;L;5,6;1835931/5000000,37124649/100000000;10,3671862000,0,0,6059589094,23752518328;8,37124649,0,0,60930000,0
4;L;6,7;37124649/100000000,37736449/100000000;8,37124649,0,0,60930000,0;8,37736449,0,0,61430000,0
4;L;7,8;37736449/100000000,596179/1562500;8,37736449,0,0,61430000,0;10,3815545600,0,0,6177010206,1829943675128
5;C;0,12;3756151/12500000;2,30,0,0,52,592;4,3004,0,0,5442,849272
6;C;0,12;3756151/12500000;2,30,0,0,54,168;4,3004,0,0,5442,849272
7;L;8,9;596179/1562500,18827969/50000000;10,3815545600,0,0,6177010206,1829943675128;10,3765593800,0,0,6136443426,159002765048
7;L;9,10;18827969/50000000,36063211/100000000;10,3765593800,0,0,6136443426,159002765048;10,3606321100,0,0,6005265231,1010685033278
7;L;10,11;36063211/100000000,15067427/50000000;10,3606321100,0,0,6005265231,1010685033278;4,3013,0,0,5469,440078
7;C;11,12;3756151/12500000;4,3004,0,0,5469,260078;4,3004,0,0,5442,849272
8;C;0,3;18250571/50000000;2,36,60,60,0,0;4,3650,6038,6038,0,85112
9;C;0,9;18250571/50000000;2,36,11,60,0,3479;2,36,11,62,0,3235
10;C;0,3;18250571/50000000;2,36,60,60,0,0;4,3650,6038,6038,0,85112
11;C;0,9;18250571/50000000;2,36,11,60,0,3479;2,36,11,62,0,3235
12;C;3,9;18250571/50000000;4,3650,6038,6038,0,85112;2,36,62,11,0,3235
13;C;0,12;3756151/12500000;2,30,11,38,0,4435;2,30,11,40,0,4279
14;C;0,12;3756151/12500000;2,30,11,40,0,4279;2,30,11,40,0,4279
15;C;9,12;3756151/12500000;2,30,11,62,0,2035;2,30,11,40,0,4279
16;C;0,1;7609871/20000000;2,38,60,60,1,398;2,38,60,60,1,398
17;C;0,1;7609871/20000000;2,38,60,60,1,398;2,38,60,60,1,398
18;C;1,3;18250571/50000000;4,3650,5985,5985,84,1345438;4,3650,6038,6038,0,85112
19;C;0,1;7609871/20000000;2,38,0,60,42,472;2,38,0,60,42,472
20;C;0,9;18250571/50000000;2,36,0,60,5,3550;2,36,0,62,6,3284
21;C;0,1;7609871/20000000;2,38,0,60,42,472;2,38,0,60,42,472
22;C;0,9;18250571/50000000;2,36,0,60,3,3582;2,36,0,62,6,3284
23;C;1,9;18250571/50000000;2,36,60,0,42,72;2,36,62,0,6,3284
24;C;0,12;3756151/12500000;2,30,0,38,5,4506;2,30,0,40,5,4350
25;C;0,12;3756151/12500000;2,30,0,40,2,4392;2,30,0,40,5,4350
26;C;9,12;3756151/12500000;2,30,0,62,6,2084;2,30,0,40,5,4350
27;C;0,1;7609871/20000000;2,38,0,0,60,400;2,38,0,0,60,400
28;C;0,2;1186087/3125000;2,37,0,0,60,200;2,37,0,0,60,200
28;C;2,3;18250571/50000000;2,36,0,0,60,0;4,3650,0,0,6038,85112
28;L;3,4;18250571/50000000,4565417/12500000;4,3650,0,0,6038,85112;4,3652,0,0,6043,4302
28;L;4,5;4565417/12500000,1835931/5000000;4,3652,0,0,6043,4302;10,3671862000,0,0,6059589094,23752518328
29;C;0,1;7609871/20000000;2,38,0,0,60,400;2,38,0,0,60,400
30;C;0,2;1186087/3125000;2,37,0,0,60,200;2,37,0,0,60,200
30;C;2,3;18250571/50000000;2,36,0,0,60,0;4,3650,0,0,6038,85112
30;L;3,4;18250571/50000000,4565417/12500000;4,3650,0,0,6038,85112;4,3652,0,0,6043,4302
30;L;4,5;4565417/12500000,1835931/5000000;4,3652,0,0,6043,4302;10,3671862000,0,0,6059589094,23752518328
31;C;1,3;18250571/50000000;2,36,0,0,60,0;4,3650,0,0,6038,85112
31;L;3,4;18250571/50000000,4565417/12500000;4,3650,0,0,6038,85112;4,3652,0,0,6043,4302
31;L;4,5;4565417/12500000,1835931/5000000;4,3652,0,0,6043,4302;10,3671862000,0,0,6059589094,23752518328
32;C;0,27;6194467/50000000;2,12,0,0,31,478;10,1238893400,0,0,3519791717,537876383822
33;C;0,27;6194467/50000000;2,12,0,0,34,88;10,1238893400,0,0,3519791717,537876383822
34;C;5,7;1835931/5000000;10,3671862000,0,0,6059589094,23752518328;2,36,0,0,59,238
34;C;7,10;36063211/100000000;2,36,0,0,59,238;2,36,0,0,57,702
34;L;10,11;36063211/100000000,15067427/50000000;2,36,0,0,57,702;8,30134854,0,0,54895222,3141432
34;L;11,12;15067427/50000000,3756151/12500000;8,30134854,0,0,54895222,3141432;10,3004920800,0,0,5481715789,17256214958
34;L;12,13;3756151/12500000,28658721/100000000;10,3004920800,0,0,5481715789,17256214958;10,2865872100,0,0,5353384063,148035224062
34;L;13,14;28658721/100000000,5690557/20000000;10,2865872100,0,0,5353384063,148035224062;8,28452785,0,0,53341152,6625792
34;L;14,15;5690557/20000000,13409509/50000000;8,28452785,0,0,53341152,6625792;8,26819018,0,0,51787081,82998878
34;L;15,16;13409509/50000000,12616777/50000000;8,26819018,0,0,51787081,82998878;8,25233554,0,0,50233011,11747758
34;L;16,17;12616777/50000000,23696393/100000000;8,25233554,0,0,50233011,11747758;8,23696393,0,0,48678941,6237038
34;L;17,18;23696393/100000000,11103767/50000000;8,23696393,0,0,48678941,6237038;8,22207534,0,0,47124870,54966200
34;L;18,19;11103767/50000000,21053491/100000000;8,22207534,0,0,47124870,54966200;8,21053491,0,0,45884083,54498222
34;L;19,20;21053491/100000000,10383489/50000000;8,21053491,0,0,45884083,54498222;10,2076697800,0,0,4557079939,859127512558
34;L;20,21;10383489/50000000,774989/4000000;10,2076697800,0,0,4557079939,859127512558;8,19374725,0,0,44016729,136281118
34;L;21,22;774989/4000000,9015387/50000000;8,19374725,0,0,44016729,136281118;10,1803077400,0,0,4246265861,475411857358
34;L;22,23;9015387/50000000,8367563/50000000;10,1803077400,0,0,4246265861,475411857358;10,1673512600,0,0,4090858821,213292979918
34;L;23,24;8367563/50000000,15487781/100000000;10,1673512600,0,0,4090858821,213292979918;8,15487781,0,0,39354518,25975352
34;L;24,25;15487781/100000000,14288739/100000000;8,15487781,0,0,39354518,25975352;8,14288739,0,0,37800448,61998592
34;L;25,26;14288739/100000000,13137999/100000000;8,14288739,0,0,37800448,61998592;10,1313799900,0,0,3624637703,1043981767582
34;L;26,27;13137999/100000000,6194467/50000000;10,1313799900,0,0,3624637703,1043981767582;10,1238893400,0,0,3519791717,537876383822
35;C;0,1;7609871/20000000;2,38,39,60,0,2479;2,38,39,60,0,2479
36;C;0,13;28658721/100000000;2,28,8,60,0,1936;2,28,9,63,0,1550
37;C;0,1;7609871/20000000;2,38,60,39,0,2479;2,38,60,39,0,2479
38;C;0,13;28658721/100000000;2,28,8,60,0,1936;2,28,9,63,0,1550
39;C;1,13;28658721/100000000;2,28,60,39,0,479;2,28,63,9,0,1550
40;C;0,27;6194467/50000000;2,12,8,8,0,2272;2,12,9,9,0,2238
41;C;0,27;6194467/50000000;2,12,8,8,0,2272;2,12,9,9,0,2238
42;C;13,20;10383489/50000000;4,2076,814,6287,0,1331035;2,20,9,40,0,2319
42;C;20,27;6194467/50000000;2,12,9,40,0,719;2,12,9,9,0,2238
43;C;0,1;7609871/20000000;2,38,0,60,20,3200;2,38,0,60,20,3200
44;C;0,13;28658721/100000000;2,28,0,60,4,1968;2,28,0,63,5,1581
45;C;0,1;7609871/20000000;2,38,0,60,20,3200;2,38,0,60,20,3200
46;C;0,13;28658721/100000000;2,28,0,60,1,1998;2,28,0,63,5,1581
47;C;1,13;28658721/100000000;2,28,60,0,20,1200;2,28,63,0,5,1581
48;C;0,27;6194467/50000000;2,12,0,8,3,2318;2,12,0,9,4,2287
49;C;0,27;6194467/50000000;2,12,0,8,0,2336;2,12,0,9,4,2287
50;C;13,20;10383489/50000000;4,2076,0,6287,411,1655789;2,20,0,40,4,2368
50;C;20,27;6194467/50000000;2,12,0,40,4,768;2,12,0,9,4,2287
51;C;0,1;7609871/20000000;2,38,0,0,42,4072;2,38,0,0,42,4072
52;C;0,19;21053491/100000000;2,21,0,0,24,3048;2,21,0,0,27,2742
53;C;0,1;7609871/20000000;2,38,0,0,42,4072;2,38,0,0,42,4072
54;C;0,19;21053491/100000000;2,21,0,0,26,2848;2,21,0,0,27,2742
55;C;1,19;21053491/100000000;2,21,0,0,42,672;2,21,0,0,27,2742
56;C;0,1;7609871/20000000;2,38,7,49,0,5150;2,38,7,49,0,5150
57;C;0,19;21053491/100000000;2,21,7,7,0,4102;2,21,7,7,0,4102
58;C;0,1;7609871/20000000;2,38,7,49,0,5150;2,38,7,49,0,5150
59;C;0,19;21053491/100000000;2,21,7,7,0,4102;2,21,7,7,0,4102
60;C;1,19;21053491/100000000;2,21,7,49,0,1750;2,21,7,7,0,4102
61;C;0,1;7609871/20000000;2,38,0,49,3,5181;2,38,0,49,4,5167
62;C;0,19;21053491/100000000;2,21,0,7,3,4133;2,21,0,7,3,4133
63;C;0,1;7609871/20000000;2,38,0,49,3,5181;2,38,0,49,4,5167
64;C;0,19;21053491/100000000;2,21,0,7,0,4151;2,21,0,7,3,4133
65;C;1,19;21053491/100000000;2,21,0,49,4,1767;2,21,0,7,3,4133
MASS SLACK NUMERATOR 44217001300727686136518255973295722014451733635977173545762318740294203376115298202838257935067548698943

BIN 38: PQP; (107/85,108/85]; gamma0=2979/5000; mass ceiling=4940901/5000000.
GAMMA 0=2979/5000;1=233105040000/388606565377;2=751/1250;3=191016630000/315667350847;4=3029/5000;5=221593680000/365583845377;6=1527/2500;7=3079/5000;8=129862530000/209687295547;9=127344420000/205323410917;10=388/625;11=3129/5000;12=110796840000/176646454777;13=188498520000/299393525377;14=1577/2500;15=3179/5000;16=801/1250;17=3229/5000;18=1627/2500;19=93619732500/143002637051;20=3279/5000;21=413/625;22=3329/5000;23=1677/2500;24=3379/5000;25=851/1250;26=3429/5000;27=141373890000/205144265377;28=1727/2500;29=3479/5000;30=438/625;31=3529/5000;32=1777/2500;33=3579/5000;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37977588,38475093;1,2,38475093,37864606;2,3,37864606,36656531;3,4,36656531,36699794;4,5,36699794,36740135;5,6,36740135,37307664;6,7,37307664,37920964;7,8,37920964,38355133;8,9,38355133,37182838;9,10,37182838,36427970;10,11,36427970,30303584;11,12,30303584,29050593;12,13,29050593,28240198;13,14,28240198,27835921;14,15,27835921,26181188;15,16,26181188,24577157;16,17,24577157,23023828;17,18,23023828,21521202;18,19,21521202,20392584;19,20,20392584,20069278;20,21,20069278,18668056;21,22,18668056,17317536;22,23,17317536,16017718;23,24,16017718,14768602;24,25,14768602,13570189;25,26,13570189,12422477;26,27,12422477,11683235;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;335616537727/91731150000,1/3,388606565377/183462300000;-31551424379929
1;0,3,7;32/255,2,1;-2
3;0,3,7;202/255,2,1;-1
4;2,3,7;329/255,7/3,154/255;-287
8;1,3,6;202/255,10/3,108/85;-202
10;10;1;-1
12;10;1;-1
13;2,3,10;177/85,1/3,154/255;-1
18;1,4,13;335616537727/91731150000,1/3,388606565377/183462300000;-31551424379929
19;0,3,13;202/255,2,1;-1
21;0,3,13;32/255,2,1;-2
22;2,3,13;329/255,7/3,154/255;-287
26;1,3,12;202/255,10/3,108/85;-202
27;0,1,7;2/3,2,1;-1
28;0,3,7;32/255,2,1;-2
30;0,3,7;202/255,2,1;-1
31;2,3,7;584/255,7/3,131/170;-202
35;1,3,6;202/255,10/3,108/85;-202
36;1,4,10;205144265377/45865575000,2,388606565377/183462300000;-26705273139787
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;202/255,2,1;-1
48;0,3,13;32/255,2,1;-2
49;2,3,13;584/255,7/3,131/170;-202
53;1,3,12;202/255,10/3,108/85;-202
54;0,1,7;5/3,2,1;-1
55;0,3,7;32/255,2,1;-2
56;1,4,7;54401103313/11466393750,5/3,388606565377/183462300000;-14564174379929
57;0,3,7;202/255,2,1;-1
58;2,3,7;839/255,17/6,347/340;-202
60;1,4,12;143002637051/22932787500,1,388606565377/183462300000;-26705273139787
62;1,3,6;202/255,10/3,108/85;-202
63;1,4,6;143002637051/22932787500,1,388606565377/183462300000;-26705273139787
64;10;1;-1
65;1,4,6;143002637051/22932787500,1,388606565377/183462300000;-26705273139787
66;10;1;-1
69;1,4,12;143002637051/22932787500,1,388606565377/183462300000;-26705273139787
72;0,1,13;5/3,2,1;-1
73;0,3,13;202/255,2,1;-1
74;1,4,6;143002637051/22932787500,1,388606565377/183462300000;-26705273139787
75;0,3,13;32/255,2,1;-2
76;2,3,13;839/255,17/6,347/340;-202
78;1,4,9;54401103313/11466393750,5/3,388606565377/183462300000;-14564174379929
80;1,3,12;202/255,10/3,108/85;-202
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;74292283118105,2670797236505363867475000,698535569355465,24395
5;8,4,2,3;698535569355465,344369127083147187525000,786374984547315,13515
6;5,4,12,3;138928833919655,5733196875,236712333850205,85
7;11,4,2,3;236712333850205,140437389500237148440625,786374984547315,1955
9;1,4,10,3;74292283118105,278134314666965966868750,138928833919655,1105
11;1,4,6,3;74292283118105,1015588394867076733434375,236712333850205,4165
14;5,4,2,3;236712333850205,140437389500237148440625,786374984547315,1955
15;1,4,12,3;74292283118105,1015588394867076733434375,236712333850205,4165
16;11,4,2,3;236712333850205,140437389500237148440625,786374984547315,1955
17;8,4,2,3;698535569355465,344369127083147187525000,786374984547315,13515
20;11,4,6,3;138928833919655,5733196875,236712333850205,85
23;5,4,2,3;236712333850205,140437389500237148440625,786374984547315,1955
24;1,4,9,3;74292283118105,2670797236505363867475000,698535569355465,24395
25;8,4,2,3;698535569355465,344369127083147187525000,786374984547315,13515
29;1,4,7,3;74292283118105,666814539498227734950000,535333530954315,85
32;8,4,2,3;535333530954315,3112277558753277265050000,1808510687236210,18955
33;1,4,12,3;74292283118105,3449927225424113867475000,1433646490554315,2635
34;11,4,2,3;1433646490554315,45865575000,1808510687236210,85
38;1,4,6,3;74292283118105,3449927225424113867475000,1433646490554315,2635
41;5,4,2,3;1433646490554315,45865575000,1808510687236210,85
42;1,4,12,3;74292283118105,3449927225424113867475000,1433646490554315,2635
43;11,4,2,3;1433646490554315,45865575000,1808510687236210,85
44;8,4,2,3;535333530954315,3112277558753277265050000,1808510687236210,18955
47;1,4,6,3;74292283118105,3449927225424113867475000,1433646490554315,2635
50;5,4,2,3;1433646490554315,45865575000,1808510687236210,85
51;1,4,9,3;74292283118105,666814539498227734950000,535333530954315,85
52;8,4,2,3;535333530954315,3112277558753277265050000,1808510687236210,18955
59;1,4,2,3;74292283118105,2337389966756250000000000,1590210476280460,7225
61;1,4,2,3;74292283118105,2337389966756250000000000,1590210476280460,7225
68;1,4,2,3;74292283118105,2337389966756250000000000,1590210476280460,7225
70;1,4,2,3;74292283118105,2337389966756250000000000,1590210476280460,7225
71;1,4,2,3;74292283118105,2337389966756250000000000,1590210476280460,7225
77;1,4,2,3;74292283118105,2337389966756250000000000,1590210476280460,7225
79;1,4,2,3;74292283118105,2337389966756250000000000,1590210476280460,7225
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/8;E/4,1/2/0/1;E/4,7/3/0/8;E/4,3/4/1/8
5:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
6:V/3,5/8/0/3;V/12,3/9/0/9;E/4,5/10/0/3;E/4,12/11/0/9;E/4,3/12/3/9
7:V/3,11/9/0/9;V/2,3/13/0/12;E/4,11/11/0/9;E/4,2/14/0/12;E/4,3/15/9/12
9:V/3,1/16/0/1;V/10,3/8/0/3;E/4,1/17/0/1;E/4,10/10/0/3;E/4,3/18/1/3
11:V/3,1/19/0/1;V/6,3/20/0/9;E/4,1/21/0/1;E/4,6/22/0/9;E/4,3/23/1/9
14:V/3,5/20/0/9;V/2,3/24/0/12;E/4,5/22/0/9;E/4,2/25/0/12;E/4,3/26/9/12
15:V/3,1/19/0/1;V/12,3/20/0/9;E/4,1/21/0/1;E/4,12/22/0/9;E/4,3/23/1/9
16:V/3,11/20/0/9;V/2,3/24/0/12;E/4,11/22/0/9;E/4,2/25/0/12;E/4,3/26/9/12
17:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
20:V/3,11/8/0/3;V/6,3/9/0/9;E/4,11/10/0/3;E/4,6/11/0/9;E/4,3/12/3/9
23:V/3,5/9/0/9;V/2,3/13/0/12;E/4,5/11/0/9;E/4,2/14/0/12;E/4,3/15/9/12
24:V/3,1/0/0/1;V/9,3/1/0/8;E/4,1/2/0/1;E/4,9/3/0/8;E/4,3/4/1/8
25:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
29:V/3,1/27/0/1;V/7,3/28/0/5;E/4,1/29/0/1;E/4,7/30/0/5;E/4,3/31/1/5
32:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
33:V/3,1/35/0/1;V/12,3/36/0/13;E/4,1/37/0/1;E/4,12/38/0/13;E/4,3/39/1/13
34:V/3,11/36/0/13;V/2,3/40/0/27;E/4,11/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
38:V/3,1/43/0/1;V/6,3/44/0/13;E/4,1/45/0/1;E/4,6/46/0/13;E/4,3/47/1/13
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/13;V/2,3/48/0/27;E/4,5/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
42:V/3,1/43/0/1;V/12,3/44/0/13;E/4,1/45/0/1;E/4,12/46/0/13;E/4,3/47/1/13
43:V/3,11/44/0/13;V/2,3/48/0/27;E/4,11/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
44:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
47:V/3,1/35/0/1;V/6,3/36/0/13;E/4,1/37/0/1;E/4,6/38/0/13;E/4,3/39/1/13
50:V/3,5/36/0/13;V/2,3/40/0/27;E/4,5/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
51:V/3,1/27/0/1;V/9,3/28/0/5;E/4,1/29/0/1;E/4,9/30/0/5;E/4,3/31/1/5
52:V/3,8/28/0/5;V/2,3/32/0/27;E/4,8/30/0/5;E/4,2/33/0/27;E/4,3/34/5/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;9494397/25000000,38475093/100000000;4,3797,0,2218,5958,24948;8,38475093,0,22330596,59984844,62876112
1;C;0,2;18932303/50000000;2,37,0,0,60,200;4,3786,0,0,6008,3527872
1;C;2,3;36656531/100000000;4,3665,0,0,6008,1107872;4,3665,0,0,6052,46592
1;L;3,4;36656531/100000000,18349897/50000000;4,3665,0,0,6052,46592;6,366997,0,0,605800,6720000
1;L;4,5;18349897/50000000,7348027/20000000;6,366997,0,0,605800,6720000;10,3674013500,0,0,6061364112,203516902912
1;L;5,6;7348027/20000000,2331729/6250000;10,3674013500,0,0,6061364112,203516902912;8,37307664,0,0,61080000,0
1;L;6,7;2331729/6250000,9480241/25000000;8,37307664,0,0,61080000,0;8,37920964,0,0,61580000,0
1;L;7,8;9480241/25000000,38355133/100000000;8,37920964,0,0,61580000,0;8,38355133,0,0,61931521,13253118
2;L;0,1;9494397/25000000,38475093/100000000;8,37977588,0,22270267,59580000,7748711;8,38475093,0,22330596,59984844,62876112
3;C;0,2;18932303/50000000;2,37,0,0,60,200;4,3786,0,0,6008,3527872
3;C;2,3;36656531/100000000;4,3665,0,0,6008,1107872;4,3665,0,0,6052,46592
3;L;3,4;36656531/100000000,18349897/50000000;4,3665,0,0,6052,46592;6,366997,0,0,605800,6720000
3;L;4,5;18349897/50000000,7348027/20000000;6,366997,0,0,605800,6720000;10,3674013500,0,0,6061364112,203516902912
3;L;5,6;7348027/20000000,2331729/6250000;10,3674013500,0,0,6061364112,203516902912;8,37307664,0,0,61080000,0
3;L;6,7;2331729/6250000,9480241/25000000;8,37307664,0,0,61080000,0;8,37920964,0,0,61580000,0
3;L;7,8;9480241/25000000,38355133/100000000;8,37920964,0,0,61580000,0;8,38355133,0,0,61931521,13253118
4;L;1,2;38475093/100000000,18932303/50000000;8,38475093,0,22330596,59984844,62876112;8,37864606,0,18807134,60080000,110706044
4;L;2,3;18932303/50000000,36656531/100000000;8,37864606,0,18807134,60080000,110706044;8,36656531,0,2810979,60512001,67013557
4;L;3,4;36656531/100000000,18349897/50000000;8,36656531,0,2810979,60512001,67013557;8,36699794,0,293101,60580000,91803799
4;L;4,5;18349897/50000000,7348027/20000000;8,36699794,0,293101,60580000,91803799;10,3674013500,0,0,6061364112,203516902912
4;L;5,6;7348027/20000000,2331729/6250000;10,3674013500,0,0,6061364112,203516902912;8,37307664,0,0,61080000,0
4;L;6,7;2331729/6250000,9480241/25000000;8,37307664,0,0,61080000,0;8,37920964,0,0,61580000,0
4;L;7,8;9480241/25000000,38355133/100000000;8,37920964,0,0,61580000,0;8,38355133,0,0,61931521,13253118
5;C;0,12;29050593/100000000;2,29,0,0,51,598;4,2905,0,0,5354,769368
6;C;0,12;29050593/100000000;4,2905,0,0,5307,1771502;4,2905,0,0,5354,769368
7;L;8,9;38355133/100000000,18591419/50000000;8,38355133,0,0,61931521,13253118;8,37182838,0,0,60977732,272352
7;L;9,10;18591419/50000000,3642797/10000000;8,37182838,0,0,60977732,272352;10,3642797000,0,0,6035558731,1609299339278
7;L;10,11;3642797/10000000,946987/3125000;10,3642797000,0,0,6035558731,1609299339278;8,30303584,0,0,55048691,38373038
7;L;11,12;946987/3125000,29050593/100000000;8,30303584,0,0,55048691,38373038;4,2905,0,0,5354,769368
8;C;0,3;36656531/100000000;2,36,60,60,0,0;4,3665,6052,6052,0,46592
9;C;0,9;36656531/100000000;2,36,9,60,0,3519;2,36,10,63,0,3131
10;C;0,3;36656531/100000000;2,36,60,60,0,0;4,3665,6052,6052,0,46592
11;C;0,9;36656531/100000000;2,36,9,60,0,3519;2,36,10,63,0,3131
12;C;3,9;36656531/100000000;4,3665,6052,6052,0,46592;2,36,63,10,0,3131
13;C;0,12;29050593/100000000;2,29,9,37,0,4350;2,29,10,39,0,4179
14;C;0,12;29050593/100000000;2,29,9,39,0,4198;2,29,10,39,0,4179
15;C;9,12;29050593/100000000;2,29,10,63,0,1731;2,29,10,39,0,4179
16;C;0,1;9494397/25000000;2,37,60,60,0,200;2,37,60,60,0,200
17;C;0,1;9494397/25000000;2,37,60,60,0,200;2,37,60,60,0,200
18;C;1,3;36656531/100000000;2,36,60,60,0,0;4,3665,6052,6052,0,46592
19;C;0,1;9494397/25000000;2,37,0,60,41,438;2,37,0,60,42,272
20;C;0,9;36656531/100000000;2,36,0,60,5,3550;2,36,0,63,5,3181
21;C;0,1;9494397/25000000;2,37,0,60,41,438;2,37,0,60,42,272
22;C;0,9;36656531/100000000;2,36,0,60,2,3592;2,36,0,63,5,3181
23;C;1,9;36656531/100000000;2,36,60,0,42,72;2,36,63,0,5,3181
24;C;0,12;29050593/100000000;2,29,0,37,4,4399;2,29,0,39,4,4247
25;C;0,12;29050593/100000000;2,29,0,39,1,4277;2,29,0,39,4,4247
26;C;9,12;29050593/100000000;2,29,0,63,5,1781;2,29,0,39,4,4247
27;C;0,1;9494397/25000000;2,37,0,0,60,200;2,37,0,0,60,200
28;C;0,2;18932303/50000000;2,37,0,0,60,200;4,3786,0,0,6008,3527872
28;C;2,3;36656531/100000000;4,3665,0,0,6008,1107872;4,3665,0,0,6052,46592
28;L;3,4;36656531/100000000,18349897/50000000;4,3665,0,0,6052,46592;6,366997,0,0,605800,6720000
28;L;4,5;18349897/50000000,7348027/20000000;6,366997,0,0,605800,6720000;10,3674013500,0,0,6061364112,203516902912
29;C;0,1;9494397/25000000;2,37,0,0,60,200;2,37,0,0,60,200
30;C;0,2;18932303/50000000;2,37,0,0,60,200;4,3786,0,0,6008,3527872
30;C;2,3;36656531/100000000;4,3665,0,0,6008,1107872;4,3665,0,0,6052,46592
30;L;3,4;36656531/100000000,18349897/50000000;4,3665,0,0,6052,46592;6,366997,0,0,605800,6720000
30;L;4,5;18349897/50000000,7348027/20000000;6,366997,0,0,605800,6720000;10,3674013500,0,0,6061364112,203516902912
31;C;1,3;36656531/100000000;2,36,0,0,60,0;4,3665,0,0,6052,46592
31;L;3,4;36656531/100000000,18349897/50000000;4,3665,0,0,6052,46592;6,366997,0,0,605800,6720000
31;L;4,5;18349897/50000000,7348027/20000000;6,366997,0,0,605800,6720000;10,3674013500,0,0,6061364112,203516902912
32;C;0,27;2336647/20000000;2,11,0,0,30,400;8,11683235,0,0,34180747,69043982
33;C;0,27;2336647/20000000;4,1168,0,0,3314,1394808;8,11683235,0,0,34180747,69043982
34;C;5,7;7348027/20000000;10,3674013500,0,0,6061364112,203516902912;2,36,0,0,58,472
34;C;7,10;3642797/10000000;2,36,0,0,58,472;2,36,0,0,56,928
34;L;10,11;3642797/10000000,946987/3125000;2,36,0,0,56,928;4,3030,0,0,5436,1499808
34;L;11,12;946987/3125000,29050593/100000000;4,3030,0,0,5436,1499808;8,29050593,0,0,53898602,4891192
34;L;12,13;29050593/100000000,14120099/50000000;8,29050593,0,0,53898602,4891192;8,28240198,0,0,53141507,67537902
34;L;13,14;14120099/50000000,27835921/100000000;8,28240198,0,0,53141507,67537902;8,27835921,0,0,52759758,71562872
34;L;14,15;27835921/100000000,6545297/25000000;8,27835921,0,0,52759758,71562872;8,26181188,0,0,51167556,25973728
34;L;15,16;6545297/25000000,24577157/100000000;8,26181188,0,0,51167556,25973728;10,2457715700,0,0,4957535323,1042414571342
34;L;16,17;24577157/100000000,5755957/25000000;10,2457715700,0,0,4957535323,1042414571342;10,2302382800,0,0,4798315112,171904854912
34;L;17,18;5755957/25000000,10760601/50000000;10,2302382800,0,0,4798315112,171904854912;10,2152120200,0,0,4639094901,999031600398
34;L;18,19;10760601/50000000,2549073/12500000;10,2152120200,0,0,4639094901,999031600398;8,20392584,0,0,45158148,138420192
34;L;19,20;2549073/12500000,10034639/50000000;8,20392584,0,0,45158148,138420192;8,20069278,0,0,44798747,134459982
34;L;20,21;10034639/50000000,2333507/12500000;8,20069278,0,0,44798747,134459982;8,18668056,0,0,43206545,138325950
34;L;21,22;2333507/12500000,541173/3125000;8,18668056,0,0,43206545,138325950;8,17317536,0,0,41614343,113356702
34;L;22,23;541173/3125000,8008859/50000000;8,17317536,0,0,41614343,113356702;8,16017718,0,0,40022141,59552238
34;L;23,24;8008859/50000000,7384301/50000000;8,16017718,0,0,40022141,59552238;10,1476860200,0,0,3842993844,629956207328
34;L;24,25;7384301/50000000,13570189/100000000;10,1476860200,0,0,3842993844,629956207328;8,13570189,0,0,36837737,65437662
34;L;25,26;13570189/100000000,12422477/100000000;8,13570189,0,0,36837737,65437662;10,1242247700,0,0,3524553422,350936179832
34;L;26,27;12422477/100000000,2336647/20000000;10,1242247700,0,0,3524553422,350936179832;8,11683235,0,0,34180747,69043982
35;C;0,1;9494397/25000000;2,37,38,60,0,2356;2,37,38,60,0,2356
36;C;0,13;14120099/50000000;2,28,7,60,0,1951;2,28,8,63,0,1567
37;C;0,1;9494397/25000000;2,37,60,38,0,2356;2,37,60,38,0,2356
38;C;0,13;14120099/50000000;2,28,7,60,0,1951;2,28,8,63,0,1567
39;C;1,13;14120099/50000000;2,28,60,38,0,556;2,28,63,8,0,1567
40;C;0,27;2336647/20000000;2,11,7,7,0,2102;2,11,8,8,0,2072
41;C;0,27;2336647/20000000;2,11,7,7,0,2102;2,11,8,8,0,2072
42;C;13,20;10034639/50000000;6,200692,70368,629602,0,33666172;2,20,8,39,0,2415
42;C;20,27;2336647/20000000;2,11,8,39,0,615;2,11,8,8,0,2072
43;C;0,1;9494397/25000000;2,37,0,60,20,3000;2,37,0,60,20,3000
44;C;0,13;14120099/50000000;2,28,0,60,4,1968;2,28,0,63,4,1599
45;C;0,1;9494397/25000000;2,37,0,60,20,3000;2,37,0,60,20,3000
46;C;0,13;14120099/50000000;2,28,0,60,0,2000;2,28,0,63,4,1599
47;C;1,13;14120099/50000000;2,28,60,0,20,1200;2,28,63,0,4,1599
48;C;0,27;2336647/20000000;2,11,0,7,3,2133;2,11,0,8,3,2118
49;C;0,27;2336647/20000000;2,11,0,7,0,2151;2,11,0,8,3,2118
50;C;13,20;10034639/50000000;4,2006,0,6297,363,204253;2,20,0,39,4,2447
50;C;20,27;2336647/20000000;2,11,0,39,4,647;2,11,0,8,3,2118
51;C;0,1;9494397/25000000;2,37,0,0,41,4038;2,37,0,0,42,3872
52;C;0,19;2549073/12500000;2,20,0,0,24,2848;2,20,0,0,26,2648
53;C;0,1;9494397/25000000;2,37,0,0,42,3872;2,37,0,0,42,3872
54;C;0,19;2549073/12500000;2,20,0,0,25,2750;2,20,0,0,26,2648
55;C;1,19;2549073/12500000;2,20,0,0,42,472;2,20,0,0,26,2648
56;C;0,1;9494397/25000000;2,37,6,49,0,4963;2,37,6,49,0,4963
57;C;0,19;2549073/12500000;2,20,6,6,0,3928;2,20,6,6,0,3928
58;C;0,1;9494397/25000000;2,37,6,49,0,4963;2,37,6,49,0,4963
59;C;0,19;2549073/12500000;2,20,6,6,0,3928;2,20,6,6,0,3928
60;C;1,19;2549073/12500000;2,20,6,49,0,1563;2,20,6,6,0,3928
61;C;0,1;9494397/25000000;2,37,0,49,3,4981;2,37,0,49,3,4981
62;C;0,19;2549073/12500000;2,20,0,6,2,3956;2,20,0,6,3,3946
63;C;0,1;9494397/25000000;2,37,0,49,3,4981;2,37,0,49,3,4981
64;C;0,19;2549073/12500000;2,20,0,6,0,3964;2,20,0,6,3,3946
65;C;1,19;2549073/12500000;2,20,0,49,3,1581;2,20,0,6,3,3946
MASS SLACK NUMERATOR 32517756381518540907784494242672597326001511696667404642929681308350510434139230310125529168697047639

BIN 39: PQP; (108/85,109/85]; gamma0=1493/2500; mass ceiling=99202903/100000000.
GAMMA 0=1493/2500;1=33609060000/55900937911;2=3011/5000;3=32272920000/53228657911;4=27904770000/46015403341;5=759/1250;6=3061/5000;7=1543/2500;8=19168470000/30875395441;9=3111/5000;10=18603180000/29895747871;11=392/625;12=16136460000/25620922111;13=27339480000/43361777911;14=3161/5000;15=1593/2500;16=3211/5000;17=809/1250;18=3261/5000;19=13528417500/20621805293;20=1643/2500;21=3311/5000;22=417/625;23=3361/5000;24=1693/2500;25=3411/5000;26=859/1250;27=20504610000/29692037911;28=3461/5000;29=1743/2500;30=3511/5000;31=442/625;32=3561/5000;33=1793/2500;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37903782,38396890;1,2,38396890,37832425;2,3,37832425,36804220;3,4,36804220,36806850;4,5,36806850,36869184;5,6,36869184,37478884;6,7,37478884,38093584;7,8,38093584,38543384;8,9,38543384,36778466;9,10,36778466,36691196;10,11,36691196,30674555;11,12,30674555,28053280;12,13,28053280,27818390;13,14,27818390,27235786;14,15,27235786,25560685;15,16,25560685,23938744;16,17,23938744,22369963;17,18,22369963,20854342;18,19,20854342,19730814;19,20,19730814,19391881;20,21,19391881,17982581;21,22,17982581,16626441;22,23,16626441,15323461;23,24,15323461,14073641;24,25,14073641,12876982;25,26,12876982,11733483;26,27,11733483,10991448;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;48330933961/13104450000,1/3,55900937911/26208900000;-61619350301123
1;0,3,7;26/255,2,1;-2
3;0,3,7;196/255,2,1;-1
4;2,3,7;347/255,7/3,157/255;-281
8;1,3,6;196/255,10/3,109/85;-196
10;10;1;-1
12;10;1;-1
13;2,3,10;181/85,1/3,157/255;-1
18;1,4,13;48330933961/13104450000,1/3,55900937911/26208900000;-61619350301123
19;0,3,13;196/255,2,1;-1
21;0,3,13;26/255,2,1;-2
22;2,3,13;347/255,7/3,157/255;-281
26;1,3,12;196/255,10/3,109/85;-196
27;0,1,7;2/3,2,1;-1
28;0,3,7;26/255,2,1;-2
30;0,3,7;196/255,2,1;-1
31;2,3,7;602/255,7/3,133/170;-196
35;1,3,6;196/255,10/3,109/85;-196
36;1,4,10;29692037911/6552225000,2,55900937911/26208900000;-17937850301123
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;196/255,2,1;-1
48;0,3,13;26/255,2,1;-2
49;2,3,13;602/255,7/3,133/170;-196
53;1,3,12;196/255,10/3,109/85;-196
54;0,1,7;5/3,2,1;-1
55;0,3,7;26/255,2,1;-2
56;1,4,7;7868014759/1638056250,5/3,55900937911/26208900000;-28858225301123
57;0,3,7;196/255,2,1;-1
58;2,3,7;857/255,17/6,351/340;-196
60;1,4,12;20621805293/3276112500,1,55900937911/26208900000;-17937850301123
62;1,3,6;196/255,10/3,109/85;-196
63;1,4,6;20621805293/3276112500,1,55900937911/26208900000;-17937850301123
64;10;1;-1
65;1,4,6;20621805293/3276112500,1,55900937911/26208900000;-17937850301123
66;10;1;-1
69;1,4,12;20621805293/3276112500,1,55900937911/26208900000;-17937850301123
72;0,1,13;5/3,2,1;-1
73;0,3,13;196/255,2,1;-1
74;1,4,6;20621805293/3276112500,1,55900937911/26208900000;-17937850301123
75;0,3,13;26/255,2,1;-2
76;2,3,13;857/255,17/6,351/340;-196
78;1,4,9;7868014759/1638056250,5/3,55900937911/26208900000;-28858225301123
80;1,3,12;196/255,10/3,109/85;-196
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;47816724404545,240230939232599351325000,465173449679685,23885
5;8,4,2,3;465173449679685,35977688990344233675000,532723888510635,15045
6;5,4,12,3;3920820174365,819028125,477767599292235,85
7;11,4,2,3;477767599292235,13441305384339904209375,532723888510635,6120
9;1,4,10,3;47816724404545,1055711207215753818750,3920820174365,3145
11;1,4,6,3;47816724404545,92637527227903043915625,477767599292235,12410
14;5,4,2,3;477767599292235,13441305384339904209375,532723888510635,6120
15;1,4,12,3;47816724404545,92637527227903043915625,477767599292235,12410
16;11,4,2,3;477767599292235,13441305384339904209375,532723888510635,6120
17;8,4,2,3;465173449679685,35977688990344233675000,532723888510635,15045
20;11,4,6,3;3920820174365,819028125,477767599292235,85
23;5,4,2,3;477767599292235,13441305384339904209375,532723888510635,6120
24;1,4,9,3;47816724404545,240230939232599351325000,465173449679685,23885
25;8,4,2,3;465173449679685,35977688990344233675000,532723888510635,15045
29;1,4,7,3;47816724404545,51145353958948702650000,309038003413635,1105
32;8,4,2,3;309038003413635,294712038183286297350000,1178323107809090,19465
33;1,4,12,3;47816724404545,311783693316974351325000,920439222613635,5185
34;11,4,2,3;920439222613635,6552225000,1178323107809090,85
38;1,4,6,3;47816724404545,311783693316974351325000,920439222613635,5185
41;5,4,2,3;920439222613635,6552225000,1178323107809090,85
42;1,4,12,3;47816724404545,311783693316974351325000,920439222613635,5185
43;11,4,2,3;920439222613635,6552225000,1178323107809090,85
44;8,4,2,3;309038003413635,294712038183286297350000,1178323107809090,19465
47;1,4,6,3;47816724404545,311783693316974351325000,920439222613635,5185
50;5,4,2,3;920439222613635,6552225000,1178323107809090,85
51;1,4,9,3;47816724404545,51145353958948702650000,309038003413635,1105
52;8,4,2,3;309038003413635,294712038183286297350000,1178323107809090,19465
59;1,4,2,3;47816724404545,214658262253125000000000,1031114072167340,7225
61;1,4,2,3;47816724404545,214658262253125000000000,1031114072167340,7225
68;1,4,2,3;47816724404545,214658262253125000000000,1031114072167340,7225
70;1,4,2,3;47816724404545,214658262253125000000000,1031114072167340,7225
71;1,4,2,3;47816724404545,214658262253125000000000,1031114072167340,7225
77;1,4,2,3;47816724404545,214658262253125000000000,1031114072167340,7225
79;1,4,2,3;47816724404545,214658262253125000000000,1031114072167340,7225
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/8;E/4,1/2/0/1;E/4,7/3/0/8;E/4,3/4/1/8
5:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
6:V/3,5/8/0/4;V/12,3/9/0/10;E/4,5/10/0/4;E/4,12/11/0/10;E/4,3/12/4/10
7:V/3,11/9/0/10;V/2,3/13/0/12;E/4,11/11/0/10;E/4,2/14/0/12;E/4,3/15/10/12
9:V/3,1/16/0/1;V/10,3/8/0/4;E/4,1/17/0/1;E/4,10/10/0/4;E/4,3/18/1/4
11:V/3,1/19/0/1;V/6,3/20/0/10;E/4,1/21/0/1;E/4,6/22/0/10;E/4,3/23/1/10
14:V/3,5/20/0/10;V/2,3/24/0/12;E/4,5/22/0/10;E/4,2/25/0/12;E/4,3/26/10/12
15:V/3,1/19/0/1;V/12,3/20/0/10;E/4,1/21/0/1;E/4,12/22/0/10;E/4,3/23/1/10
16:V/3,11/20/0/10;V/2,3/24/0/12;E/4,11/22/0/10;E/4,2/25/0/12;E/4,3/26/10/12
17:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
20:V/3,11/8/0/4;V/6,3/9/0/10;E/4,11/10/0/4;E/4,6/11/0/10;E/4,3/12/4/10
23:V/3,5/9/0/10;V/2,3/13/0/12;E/4,5/11/0/10;E/4,2/14/0/12;E/4,3/15/10/12
24:V/3,1/0/0/1;V/9,3/1/0/8;E/4,1/2/0/1;E/4,9/3/0/8;E/4,3/4/1/8
25:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
29:V/3,1/27/0/1;V/7,3/28/0/3;E/4,1/29/0/1;E/4,7/30/0/3;E/4,3/31/1/3
32:V/3,8/28/0/3;V/2,3/32/0/27;E/4,8/30/0/3;E/4,2/33/0/27;E/4,3/34/3/27
33:V/3,1/35/0/1;V/12,3/36/0/13;E/4,1/37/0/1;E/4,12/38/0/13;E/4,3/39/1/13
34:V/3,11/36/0/13;V/2,3/40/0/27;E/4,11/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
38:V/3,1/43/0/1;V/6,3/44/0/13;E/4,1/45/0/1;E/4,6/46/0/13;E/4,3/47/1/13
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/13;V/2,3/48/0/27;E/4,5/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
42:V/3,1/43/0/1;V/12,3/44/0/13;E/4,1/45/0/1;E/4,12/46/0/13;E/4,3/47/1/13
43:V/3,11/44/0/13;V/2,3/48/0/27;E/4,11/46/0/13;E/4,2/49/0/27;E/4,3/50/13/27
44:V/3,8/28/0/3;V/2,3/32/0/27;E/4,8/30/0/3;E/4,2/33/0/27;E/4,3/34/3/27
47:V/3,1/35/0/1;V/6,3/36/0/13;E/4,1/37/0/1;E/4,6/38/0/13;E/4,3/39/1/13
50:V/3,5/36/0/13;V/2,3/40/0/27;E/4,5/38/0/13;E/4,2/41/0/27;E/4,3/42/13/27
51:V/3,1/27/0/1;V/9,3/28/0/3;E/4,1/29/0/1;E/4,9/30/0/3;E/4,3/31/1/3
52:V/3,8/28/0/3;V/2,3/32/0/27;E/4,8/30/0/3;E/4,2/33/0/27;E/4,3/34/3/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;18951891/50000000,3839689/10000000;4,3790,0,2107,5972,30983;10,3839689000,0,2121178638,6012253329,1001549300474
1;C;0,4;1840211/5000000;2,36,0,0,60,0;4,3680,0,0,6065,31550
1;L;4,5;736137/2000000,576081/1562500;4,3680,0,0,6065,31550;8,36869184,0,0,60720000,0
1;L;5,6;576081/1562500,9369721/25000000;8,36869184,0,0,60720000,0;8,37478884,0,0,61220000,0
1;L;6,7;9369721/25000000,2380849/6250000;8,37478884,0,0,61220000,0;8,38093584,0,0,61720000,0
1;L;7,8;2380849/6250000,4817923/12500000;8,38093584,0,0,61720000,0;10,3854338400,0,0,6208331821,717647918
2;L;0,1;18951891/50000000,3839689/10000000;8,37903782,0,21161273,59720000,125019471;10,3839689000,0,2121178638,6012253329,1001549300474
3;C;0,4;1840211/5000000;2,36,0,0,60,0;4,3680,0,0,6065,31550
3;L;4,5;736137/2000000,576081/1562500;4,3680,0,0,6065,31550;8,36869184,0,0,60720000,0
3;L;5,6;576081/1562500,9369721/25000000;8,36869184,0,0,60720000,0;8,37478884,0,0,61220000,0
3;L;6,7;9369721/25000000,2380849/6250000;8,37478884,0,0,61220000,0;8,38093584,0,0,61720000,0
3;L;7,8;2380849/6250000,4817923/12500000;8,38093584,0,0,61720000,0;10,3854338400,0,0,6208331821,717647918
4;L;1,2;3839689/10000000,1513297/4000000;10,3839689000,0,2121178638,6012253329,1001549300474;8,37832425,0,17708417,60220000,167354111
4;L;2,3;1513297/4000000,1840211/5000000;8,37832425,0,17708417,60220000,167354111;8,36804220,0,2945289,60630723,129701021
4;L;3,4;1840211/5000000,736137/2000000;8,36804220,0,2945289,60630723,129701021;10,3680685000,0,253141322,6064223711,1036986869274
4;L;4,5;736137/2000000,576081/1562500;10,3680685000,0,253141322,6064223711,1036986869274;8,36869184,0,0,60720000,0
4;L;5,6;576081/1562500,9369721/25000000;8,36869184,0,0,60720000,0;8,37478884,0,0,61220000,0
4;L;6,7;9369721/25000000,2380849/6250000;8,37478884,0,0,61220000,0;8,38093584,0,0,61720000,0
4;L;7,8;2380849/6250000,4817923/12500000;8,38093584,0,0,61720000,0;10,3854338400,0,0,6208331821,717647918
5;C;0,12;175333/625000;2,28,0,0,50,600;4,2805,0,0,5264,680608
6;C;0,12;175333/625000;4,2805,0,0,5223,1540542;4,2805,0,0,5264,680608
7;L;8,9;4817923/12500000,18389233/50000000;10,3854338400,0,0,6208331821,717647918;8,36778466,0,0,60645252,19712992
7;L;9,10;18389233/50000000,9172799/25000000;8,36778466,0,0,60645252,19712992;8,36691196,0,0,60573258,30530872
7;L;10,11;9172799/25000000,6134911/20000000;8,36691196,0,0,60573258,30530872;8,30674555,0,0,55384614,64142008
7;L;11,12;6134911/20000000,175333/625000;8,30674555,0,0,55384614,64142008;4,2805,0,0,5264,680608
8;C;0,4;1840211/5000000;2,36,60,60,0,0;4,3680,6065,6065,0,31550
9;C;0,10;9172799/25000000;2,36,8,60,0,3536;2,36,8,63,0,3167
10;C;0,4;1840211/5000000;2,36,60,60,0,0;4,3680,6065,6065,0,31550
11;C;0,10;9172799/25000000;2,36,8,60,0,3536;2,36,8,63,0,3167
12;C;4,7;736137/2000000;4,3680,6065,6065,0,31550;2,36,62,25,0,2731
12;C;7,10;9172799/25000000;2,36,62,25,0,2731;2,36,63,8,0,3167
13;C;0,12;175333/625000;2,28,8,36,0,4240;2,28,8,38,0,4092
14;C;0,12;175333/625000;2,28,8,38,0,4092;2,28,8,38,0,4092
15;C;10,12;175333/625000;2,28,8,63,0,1567;2,28,8,38,0,4092
16;C;0,1;18951891/50000000;2,37,60,60,0,200;4,3790,6013,6013,0,3487662
17;C;0,1;18951891/50000000;2,37,60,60,0,200;4,3790,6013,6013,0,3487662
18;C;1,4;1840211/5000000;4,3680,6013,6013,0,1287662;4,3680,6065,6065,0,31550
19;C;0,1;18951891/50000000;2,37,0,60,41,438;2,37,0,61,41,317
20;C;0,10;9172799/25000000;2,36,0,60,4,3568;2,36,0,63,4,3199
21;C;0,1;18951891/50000000;2,37,0,60,41,438;2,37,0,61,41,317
22;C;0,10;9172799/25000000;2,36,0,60,2,3592;2,36,0,63,4,3199
23;C;1,10;9172799/25000000;2,36,61,0,41,117;2,36,63,0,4,3199
24;C;0,12;175333/625000;2,28,0,36,4,4272;2,28,0,38,4,4124
25;C;0,12;175333/625000;2,28,0,38,1,4154;2,28,0,38,4,4124
26;C;10,12;175333/625000;2,28,0,63,4,1599;2,28,0,38,4,4124
27;C;0,1;18951891/50000000;2,37,0,0,60,200;4,3790,0,0,6013,3487662
28;C;0,3;1840211/5000000;2,36,0,0,60,0;4,3680,0,0,6064,55808
29;C;0,1;18951891/50000000;2,37,0,0,60,200;4,3790,0,0,6013,3487662
30;C;0,3;1840211/5000000;2,36,0,0,60,0;4,3680,0,0,6064,55808
31;C;1,3;1840211/5000000;4,3680,0,0,6013,1287662;4,3680,0,0,6064,55808
32;C;0,27;1373931/12500000;2,10,0,0,29,318;8,10991448,0,0,33153352,102328192
33;C;0,27;1373931/12500000;4,1099,0,0,3228,1140032;8,10991448,0,0,33153352,102328192
34;C;3,9;18389233/50000000;6,367784,0,0,606308,349218272;2,36,0,0,56,928
34;C;9,10;9172799/25000000;2,36,0,0,56,928;2,36,0,0,56,928
34;L;10,11;9172799/25000000,6134911/20000000;2,36,0,0,56,928;2,30,0,0,54,168
34;L;11,12;6134911/20000000,175333/625000;2,30,0,0,54,168;10,2805328000,0,0,5296534715,25599737550
34;L;12,13;175333/625000,2781839/10000000;10,2805328000,0,0,5296534715,25599737550;10,2781839000,0,0,5274314124,1042748225248
34;L;13,14;2781839/10000000,13617893/50000000;10,2781839000,0,0,5274314124,1042748225248;8,27235786,0,0,52187916,47153888
34;L;14,15;13617893/50000000,5112137/20000000;8,27235786,0,0,52187916,47153888;8,25560685,0,0,50557576,18008448
34;L;15,16;5112137/20000000,2992343/12500000;8,25560685,0,0,50557576,18008448;8,23938744,0,0,48927235,150509550
34;L;16,17;2992343/12500000,22369963/100000000;8,23938744,0,0,48927235,150509550;8,22369963,0,0,47296895,46717950
34;L;17,18;22369963/100000000,10427171/50000000;8,22369963,0,0,47296895,46717950;8,20854342,0,0,45666554,91530168
34;L;18,19;10427171/50000000,9865407/50000000;8,20854342,0,0,45666554,91530168;10,1973081400,0,0,4441938013,1377331223662
34;L;19,20;9865407/50000000,19391881/100000000;10,1973081400,0,0,4441938013,1377331223662;10,1939188100,0,0,4403621348,46877325792
34;L;20,21;19391881/100000000,17982581/100000000;10,1939188100,0,0,4403621348,46877325792;10,1798258100,0,0,4240587302,668232721592
34;L;21,22;17982581/100000000,16626441/100000000;10,1798258100,0,0,4240587302,668232721592;8,16626441,0,0,40775533,17131822
34;L;22,23;16626441/100000000,15323461/100000000;8,16626441,0,0,40775533,17131822;10,1532346100,0,0,3914519209,724740028638
34;L;23,24;15323461/100000000,14073641/100000000;10,1532346100,0,0,3914519209,724740028638;10,1407364100,0,0,3751485163,143581726862
34;L;24,25;14073641/100000000,6438491/50000000;10,1407364100,0,0,3751485163,143581726862;10,1287698200,0,0,3588451116,1176156709088
34;L;25,26;6438491/50000000,11733483/100000000;10,1287698200,0,0,3588451116,1176156709088;8,11733483,0,0,34254171,138205518
34;L;26,27;11733483/100000000,1373931/12500000;8,11733483,0,0,34254171,138205518;8,10991448,0,0,33153352,102328192
35;C;0,1;18951891/50000000;2,37,36,60,0,2504;2,37,37,61,0,2310
36;C;0,13;2781839/10000000;2,27,6,60,0,1764;2,27,6,64,0,1268
37;C;0,1;18951891/50000000;2,37,60,37,0,2431;2,37,61,37,0,2310
38;C;0,13;2781839/10000000;2,27,6,60,0,1764;2,27,6,64,0,1268
39;C;1,13;2781839/10000000;2,27,61,37,0,310;2,27,64,6,0,1268
40;C;0,27;1373931/12500000;2,10,6,6,0,1928;2,10,7,7,0,1902
41;C;0,27;1373931/12500000;2,10,6,6,0,1928;2,10,7,7,0,1902
42;C;13,16;2992343/12500000;2,23,6,64,0,468;2,23,7,53,0,1742
42;C;16,20;19391881/100000000;2,19,7,53,0,942;2,19,7,38,0,2307
42;C;20,27;1373931/12500000;2,10,7,38,0,507;2,10,7,7,0,1902
43;C;0,1;18951891/50000000;2,37,0,60,19,3078;2,37,0,61,19,2957
44;C;0,13;2781839/10000000;2,27,0,60,3,1782;2,27,0,64,4,1272
45;C;0,1;18951891/50000000;2,37,0,60,19,3078;2,37,0,61,19,2957
46;C;0,13;2781839/10000000;2,27,0,60,0,1800;2,27,0,64,4,1272
47;C;1,13;2781839/10000000;2,27,61,0,19,957;2,27,64,0,4,1272
48;C;0,27;1373931/12500000;2,10,0,6,3,1946;2,10,0,7,3,1933
49;C;0,27;1373931/12500000;2,10,0,6,0,1964;2,10,0,7,3,1933
50;C;13,16;2992343/12500000;2,23,0,64,4,472;2,23,0,53,4,1759
50;C;16,20;19391881/100000000;2,19,0,53,4,959;2,19,0,38,3,2338
50;C;20,27;1373931/12500000;2,10,0,38,3,538;2,10,0,7,3,1933
51;C;0,1;18951891/50000000;2,37,0,0,41,4038;2,37,0,0,41,4038
52;C;0,19;9865407/50000000;2,19,0,0,23,2742;2,19,0,0,25,2550
53;C;0,1;18951891/50000000;2,37,0,0,41,4038;2,37,0,0,41,4038
54;C;0,19;9865407/50000000;2,19,0,0,25,2550;2,19,0,0,25,2550
55;C;1,19;9865407/50000000;2,19,0,0,41,438;2,19,0,0,25,2550
56;C;0,1;18951891/50000000;2,37,5,48,0,5071;2,37,5,48,0,5071
57;C;0,19;9865407/50000000;2,19,5,5,0,3750;2,19,5,5,0,3750
58;C;0,1;18951891/50000000;2,37,5,48,0,5071;2,37,5,48,0,5071
59;C;0,19;9865407/50000000;2,19,5,5,0,3750;2,19,5,5,0,3750
60;C;1,19;9865407/50000000;2,19,5,48,0,1471;2,19,5,5,0,3750
61;C;0,1;18951891/50000000;2,37,0,48,3,5078;2,37,0,48,3,5078
62;C;0,19;9865407/50000000;2,19,0,5,2,3767;2,19,0,5,2,3767
63;C;0,1;18951891/50000000;2,37,0,48,2,5088;2,37,0,48,3,5078
64;C;0,19;9865407/50000000;2,19,0,5,0,3775;2,19,0,5,2,3767
65;C;1,19;9865407/50000000;2,19,0,48,3,1478;2,19,0,5,2,3767
MASS SLACK NUMERATOR 223681978401866959389903183986982079906519674808675447912171693263176397513866372131053916069

BIN 40: PQP; (109/85,22/17]; gamma0=1197/2000; mass ceiling=9956043/10000000.
GAMMA 0=1197/2000;1=237421800000/394006565377;2=1207/2000;3=230227200000/379617365377;4=199650150000/328548295927;5=1217/2000;6=1227/2000;7=1237/2000;8=138496050000/222568240627;9=1247/2000;10=133100100000/213217059277;11=1257/2000;12=194254200000/307671365377;13=115113600000/182046454777;14=1267/2000;15=1277/2000;16=1287/2000;17=1297/2000;18=1307/2000;19=95778112500/145702637051;20=1317/2000;21=1327/2000;22=1337/2000;23=1347/2000;24=1357/2000;25=1367/2000;26=1377/2000;27=145690650000/210544265377;28=1387/2000;29=1397/2000;30=1407/2000;31=1417/2000;32=1427/2000;33=1437/2000;34=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37828413,38327211;1,2,38327211,37844824;2,3,37844824,36990131;3,4,36990131,36952331;4,5,36952331,37027225;5,6,37027225,37638225;6,7,37638225,38254225;7,8,38254225,38721163;8,9,38721163,37128431;9,10,37128431,36182631;10,11,36182631,31029936;11,12,31029936,27777360;12,13,27777360,27058768;13,14,27058768,26654421;14,15,26654421,24959452;15,16,24959452,23320159;16,17,23320159,21736543;17,18,21736543,20208603;18,19,20208603,19069063;19,20,19069063,18736341;20,21,18736341,17319755;21,22,17319755,15958847;22,23,15958847,14653615;23,24,14653615,13404060;24,25,13404060,12210181;25,26,12210181,11071980;26,27,11071980,10314455;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0;33,34,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;341016537727/91731150000,1/3,394006565377/183462300000;-616080526907
1;0,3,7;4/51,2,1;-2
3;0,3,7;38/51,2,1;-1
4;2,3,7;73/51,7/3,32/51;-55
8;1,3,6;38/51,10/3,22/17;-38
10;10;1;-1
12;10;1;-1
13;2,3,10;37/17,1/3,32/51;-1
18;1,4,13;341016537727/91731150000,1/3,394006565377/183462300000;-616080526907
19;0,3,13;38/51,2,1;-1
21;0,3,13;4/51,2,1;-2
22;2,3,13;73/51,7/3,32/51;-55
26;1,3,12;38/51,10/3,22/17;-38
27;0,1,7;2/3,2,1;-1
28;0,3,7;4/51,2,1;-2
30;0,3,7;38/51,2,1;-1
31;2,3,7;124/51,7/3,27/34;-38
35;1,3,6;38/51,10/3,22/17;-38
36;1,4,10;210544265377/45865575000,2,394006565377/183462300000;-237417820309
37;10;1;-1
39;10;1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;38/51,2,1;-1
48;0,3,13;4/51,2,1;-2
49;2,3,13;124/51,7/3,27/34;-38
53;1,3,12;38/51,10/3,22/17;-38
54;0,1,7;5/3,2,1;-1
55;0,3,7;4/51,2,1;-2
56;1,4,7;55751103313/11466393750,5/3,394006565377/183462300000;-877541580721
57;0,3,7;38/51,2,1;-1
58;2,3,7;175/51,17/6,71/68;-38
60;1,4,12;145702637051/22932787500,1,394006565377/183462300000;-237417820309
62;1,3,6;38/51,10/3,22/17;-38
63;1,4,6;145702637051/22932787500,1,394006565377/183462300000;-237417820309
64;10;1;-1
65;1,4,6;145702637051/22932787500,1,394006565377/183462300000;-237417820309
66;10;1;-1
69;1,4,12;145702637051/22932787500,1,394006565377/183462300000;-237417820309
72;0,1,13;5/3,2,1;-1
73;0,3,13;38/51,2,1;-1
74;1,4,6;145702637051/22932787500,1,394006565377/183462300000;-237417820309
75;0,3,13;4/51,2,1;-2
76;2,3,13;175/51,17/6,71/68;-38
78;1,4,9;55751103313/11466393750,5/3,394006565377/183462300000;-877541580721
80;1,3,12;38/51,10/3,22/17;-38
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;868279383229,146383434356467261275000,8563074832437,85
5;8,4,2,3;8563074832437,25078500218613433725000,9971385321087,663
6;5,4,12,3;1626600415579,5733196875,8888069560587,17
7;11,4,2,3;8888069560587,8700026733889179215625,9971385321087,255
9;1,4,10,3;868279383229,14335001762866815318750,1626600415579,119
11;1,4,6,3;868279383229,57254428740495907659375,8888069560587,493
14;5,4,2,3;8888069560587,8700026733889179215625,9971385321087,255
15;1,4,12,3;868279383229,57254428740495907659375,8888069560587,493
16;11,4,2,3;8888069560587,8700026733889179215625,9971385321087,255
17;8,4,2,3;8563074832437,25078500218613433725000,9971385321087,663
20;11,4,6,3;1626600415579,5733196875,8888069560587,17
23;5,4,2,3;8888069560587,8700026733889179215625,9971385321087,255
24;1,4,9,3;868279383229,146383434356467261275000,8563074832437,85
25;8,4,2,3;8563074832437,25078500218613433725000,9971385321087,663
29;1,4,7,3;868279383229,25636586797934522550000,4899572949687,17
32;8,4,2,3;4899572949687,188869029579810477450000,21241804566458,799
33;1,4,12,3;868279383229,190905148008967261275000,5457748983229,17
34;11,4,2,3;5457748983229,45865575000,21241804566458,17
38;1,4,6,3;868279383229,190905148008967261275000,5457748983229,17
41;5,4,2,3;5457748983229,45865575000,21241804566458,17
42;1,4,12,3;868279383229,190905148008967261275000,5457748983229,17
43;11,4,2,3;5457748983229,45865575000,21241804566458,17
44;8,4,2,3;4899572949687,188869029579810477450000,21241804566458,799
47;1,4,6,3;868279383229,190905148008967261275000,5457748983229,17
50;5,4,2,3;5457748983229,45865575000,21241804566458,17
51;1,4,9,3;868279383229,25636586797934522550000,4899572949687,17
52;8,4,2,3;4899572949687,188869029579810477450000,21241804566458,799
59;1,4,2,3;868279383229,133565140957500000000000,18511292930108,289
61;1,4,2,3;868279383229,133565140957500000000000,18511292930108,289
68;1,4,2,3;868279383229,133565140957500000000000,18511292930108,289
70;1,4,2,3;868279383229,133565140957500000000000,18511292930108,289
71;1,4,2,3;868279383229,133565140957500000000000,18511292930108,289
77;1,4,2,3;868279383229,133565140957500000000000,18511292930108,289
79;1,4,2,3;868279383229,133565140957500000000000,18511292930108,289
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,5
9;6;V;12,3
10;6;E;4,5
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;9;V;3,1
17;9;E;4,1
18;9;E;4,3
19;11;V;3,1
20;11;V;6,3
21;11;E;4,1
22;11;E;4,6
23;11;E;4,3
24;14;V;2,3
25;14;E;4,2
26;14;E;4,3
27;29;V;3,1
28;29;V;7,3
29;29;E;4,1
30;29;E;4,7
31;29;E;4,3
32;32;V;2,3
33;32;E;4,2
34;32;E;4,3
35;33;V;3,1
36;33;V;12,3
37;33;E;4,1
38;33;E;4,12
39;33;E;4,3
40;34;V;2,3
41;34;E;4,2
42;34;E;4,3
43;38;V;3,1
44;38;V;6,3
45;38;E;4,1
46;38;E;4,6
47;38;E;4,3
48;41;V;2,3
49;41;E;4,2
50;41;E;4,3
51;59;V;3,1
52;59;V;2,3
53;59;E;4,1
54;59;E;4,2
55;59;E;4,3
56;61;V;3,1
57;61;V;2,3
58;61;E;4,1
59;61;E;4,2
60;61;E;4,3
61;68;V;3,1
62;68;V;2,3
63;68;E;4,1
64;68;E;4,2
65;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/8;E/4,1/2/0/1;E/4,7/3/0/8;E/4,3/4/1/8
5:V/3,8/1/0/8;V/2,3/5/0/13;E/4,8/3/0/8;E/4,2/6/0/13;E/4,3/7/8/13
6:V/3,5/8/0/4;V/12,3/9/0/10;E/4,5/10/0/4;E/4,12/11/0/10;E/4,3/12/4/10
7:V/3,11/9/0/10;V/2,3/13/0/13;E/4,11/11/0/10;E/4,2/14/0/13;E/4,3/15/10/13
9:V/3,1/16/0/1;V/10,3/8/0/4;E/4,1/17/0/1;E/4,10/10/0/4;E/4,3/18/1/4
11:V/3,1/19/0/1;V/6,3/20/0/10;E/4,1/21/0/1;E/4,6/22/0/10;E/4,3/23/1/10
14:V/3,5/20/0/10;V/2,3/24/0/13;E/4,5/22/0/10;E/4,2/25/0/13;E/4,3/26/10/13
15:V/3,1/19/0/1;V/12,3/20/0/10;E/4,1/21/0/1;E/4,12/22/0/10;E/4,3/23/1/10
16:V/3,11/20/0/10;V/2,3/24/0/13;E/4,11/22/0/10;E/4,2/25/0/13;E/4,3/26/10/13
17:V/3,8/1/0/8;V/2,3/5/0/13;E/4,8/3/0/8;E/4,2/6/0/13;E/4,3/7/8/13
20:V/3,11/8/0/4;V/6,3/9/0/10;E/4,11/10/0/4;E/4,6/11/0/10;E/4,3/12/4/10
23:V/3,5/9/0/10;V/2,3/13/0/13;E/4,5/11/0/10;E/4,2/14/0/13;E/4,3/15/10/13
24:V/3,1/0/0/1;V/9,3/1/0/8;E/4,1/2/0/1;E/4,9/3/0/8;E/4,3/4/1/8
25:V/3,8/1/0/8;V/2,3/5/0/13;E/4,8/3/0/8;E/4,2/6/0/13;E/4,3/7/8/13
29:V/3,1/27/0/1;V/7,3/28/0/3;E/4,1/29/0/1;E/4,7/30/0/3;E/4,3/31/1/3
32:V/3,8/28/0/3;V/2,3/32/0/27;E/4,8/30/0/3;E/4,2/33/0/27;E/4,3/34/3/27
33:V/3,1/35/0/1;V/12,3/36/0/12;E/4,1/37/0/1;E/4,12/38/0/12;E/4,3/39/1/12
34:V/3,11/36/0/12;V/2,3/40/0/27;E/4,11/38/0/12;E/4,2/41/0/27;E/4,3/42/12/27
38:V/3,1/43/0/1;V/6,3/44/0/12;E/4,1/45/0/1;E/4,6/46/0/12;E/4,3/47/1/12
40:V/2,3/40/0/27;E/4,2/41/0/27
41:V/3,5/44/0/12;V/2,3/48/0/27;E/4,5/46/0/12;E/4,2/49/0/27;E/4,3/50/12/27
42:V/3,1/43/0/1;V/12,3/44/0/12;E/4,1/45/0/1;E/4,12/46/0/12;E/4,3/47/1/12
43:V/3,11/44/0/12;V/2,3/48/0/27;E/4,11/46/0/12;E/4,2/49/0/27;E/4,3/50/12/27
44:V/3,8/28/0/3;V/2,3/32/0/27;E/4,8/30/0/3;E/4,2/33/0/27;E/4,3/34/3/27
47:V/3,1/35/0/1;V/6,3/36/0/12;E/4,1/37/0/1;E/4,6/38/0/12;E/4,3/39/1/12
50:V/3,5/36/0/12;V/2,3/40/0/27;E/4,5/38/0/12;E/4,2/41/0/27;E/4,3/42/12/27
51:V/3,1/27/0/1;V/9,3/28/0/3;E/4,1/29/0/1;E/4,9/30/0/3;E/4,3/31/1/3
52:V/3,8/28/0/3;V/2,3/32/0/27;E/4,8/30/0/3;E/4,2/33/0/27;E/4,3/34/3/27
59:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
61:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
67:V/2,3/57/0/19;E/4,2/59/0/19
68:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
70:V/3,1/61/0/1;V/2,3/62/0/19;E/4,1/63/0/1;E/4,2/64/0/19;E/4,3/65/1/19
71:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
77:V/3,1/56/0/1;V/2,3/57/0/19;E/4,1/58/0/1;E/4,2/59/0/19;E/4,3/60/1/19
79:V/3,1/51/0/1;V/2,3/52/0/19;E/4,1/53/0/1;E/4,2/54/0/19;E/4,3/55/1/19
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;37828413/100000000,38327211/100000000;4,3782,0,1995,5985,19525;10,3832721100,0,2008253159,6025833600,99588600719
1;C;0,4;36952331/100000000;2,36,0,0,60,0;4,3695,0,0,6077,40142
1;L;4,5;36952331/100000000,1481089/4000000;4,3695,0,0,6077,40142;8,37027225,0,0,60850000,0
1;L;5,6;1481089/4000000,1505529/4000000;8,37027225,0,0,60850000,0;8,37638225,0,0,61350000,0
1;L;6,7;1505529/4000000,1530169/4000000;8,37638225,0,0,61350000,0;8,38254225,0,0,61850000,0
1;L;7,8;1530169/4000000,38721163/100000000;8,38254225,0,0,61850000,0;8,38721163,0,0,62226331,60556878
2;L;0,1;37828413/100000000,38327211/100000000;8,37828413,0,20040898,59850000,7353596;10,3832721100,0,2008253159,6025833600,99588600719
3;C;0,4;36952331/100000000;2,36,0,0,60,0;4,3695,0,0,6077,40142
3;L;4,5;36952331/100000000,1481089/4000000;4,3695,0,0,6077,40142;8,37027225,0,0,60850000,0
3;L;5,6;1481089/4000000,1505529/4000000;8,37027225,0,0,60850000,0;8,37638225,0,0,61350000,0
3;L;6,7;1505529/4000000,1530169/4000000;8,37638225,0,0,61350000,0;8,38254225,0,0,61850000,0
3;L;7,8;1530169/4000000,38721163/100000000;8,38254225,0,0,61850000,0;8,38721163,0,0,62226331,60556878
4;L;1,2;38327211/100000000,4730603/12500000;10,3832721100,0,2008253159,6025833600,99588600719;8,37844824,0,16873639,60350000,106897679
4;L;2,3;4730603/12500000,36990131/100000000;8,37844824,0,16873639,60350000,106897679;8,36990131,0,6470471,60647173,19254301
4;L;3,4;36990131/100000000,36952331/100000000;8,36990131,0,6470471,60647173,19254301;10,3695233100,0,226280888,6076736738,193808170168
4;L;4,5;36952331/100000000,1481089/4000000;10,3695233100,0,226280888,6076736738,193808170168;8,37027225,0,0,60850000,0
4;L;5,6;1481089/4000000,1505529/4000000;8,37027225,0,0,60850000,0;8,37638225,0,0,61350000,0
4;L;6,7;1505529/4000000,1530169/4000000;8,37638225,0,0,61350000,0;8,38254225,0,0,61850000,0
4;L;7,8;1530169/4000000,38721163/100000000;8,38254225,0,0,61850000,0;8,38721163,0,0,62226331,60556878
5;C;0,13;1691173/6250000;2,27,0,0,49,598;4,2705,0,0,5170,642200
6;C;0,13;1691173/6250000;4,2705,0,0,5136,1343008;4,2705,0,0,5170,642200
7;L;8,9;38721163/100000000,37128431/100000000;8,38721163,0,0,62226331,60556878;10,3712843100,0,0,6093310313,858975684062
7;L;9,10;37128431/100000000,36182631/100000000;10,3712843100,0,0,6093310313,858975684062;10,3618263100,0,0,6015199991,136547199838
7;L;10,11;36182631/100000000,1939371/6250000;10,3618263100,0,0,6015199991,136547199838;10,3102993600,0,0,5570452002,986828383992
7;L;11,12;1939371/6250000,347217/1250000;10,3102993600,0,0,5570452002,986828383992;8,27777360,0,0,52704231,69397278
7;L;12,13;347217/1250000,1691173/6250000;8,27777360,0,0,52704231,69397278;4,2705,0,0,5170,642200
8;C;0,4;36952331/100000000;2,36,60,60,0,0;4,3695,6077,6077,0,40142
9;C;0,10;36182631/100000000;2,36,7,60,0,3551;2,36,7,63,0,3182
10;C;0,4;36952331/100000000;2,36,60,60,0,0;4,3695,6077,6077,0,40142
11;C;0,10;36182631/100000000;2,36,7,60,0,3551;2,36,7,63,0,3182
12;C;4,7;36952331/100000000;4,3695,6077,6077,0,40142;2,36,62,26,0,2680
12;C;7,10;36182631/100000000;2,36,62,26,0,2680;2,36,63,7,0,3182
13;C;0,13;1691173/6250000;2,27,7,35,0,4126;2,27,7,37,0,3982
14;C;0,13;1691173/6250000;2,27,7,37,0,3982;2,27,7,37,0,3982
15;C;10,13;1691173/6250000;2,27,7,63,0,1382;2,27,7,37,0,3982
16;C;0,1;37828413/100000000;2,37,60,60,0,200;4,3782,6026,6026,0,3014648
17;C;0,1;37828413/100000000;2,37,60,60,0,200;4,3782,6026,6026,0,3014648
18;C;1,4;36952331/100000000;4,3695,6026,6026,0,1274648;4,3695,6077,6077,0,40142
19;C;0,1;37828413/100000000;2,37,0,60,40,600;2,37,0,61,41,317
20;C;0,10;36182631/100000000;2,36,0,60,4,3568;2,36,0,63,4,3199
21;C;0,1;37828413/100000000;2,37,0,60,40,600;2,37,0,61,41,317
22;C;0,10;36182631/100000000;2,36,0,60,1,3598;2,36,0,63,4,3199
23;C;1,10;36182631/100000000;2,36,61,0,41,117;2,36,63,0,4,3199
24;C;0,13;1691173/6250000;2,27,0,35,3,4157;2,27,0,37,3,4013
25;C;0,13;1691173/6250000;2,27,0,37,0,4031;2,27,0,37,3,4013
26;C;10,13;1691173/6250000;2,27,0,63,4,1399;2,27,0,37,3,4013
27;C;0,1;37828413/100000000;2,37,0,0,60,200;4,3782,0,0,6026,3014648
28;C;0,3;36990131/100000000;2,36,0,0,60,0;4,3699,0,0,6065,411550
29;C;0,1;37828413/100000000;2,37,0,0,60,200;4,3782,0,0,6026,3014648
30;C;0,3;36990131/100000000;2,36,0,0,60,0;4,3699,0,0,6065,411550
31;C;1,3;36990131/100000000;4,3699,0,0,6026,1354648;4,3699,0,0,6065,411550
32;C;0,27;2062891/20000000;2,10,0,0,28,432;10,1031445500,0,0,3211612513,132683649662
33;C;0,27;2062891/20000000;4,1031,0,0,3141,888238;10,1031445500,0,0,3211612513,132683649662
34;C;3,9;36952331/100000000;4,3695,0,0,6065,331550;2,36,0,0,55,1150
34;C;9,10;36182631/100000000;2,36,0,0,55,1150;2,36,0,0,55,1150
34;C;10,11;1939371/6250000;2,31,0,0,55,150;2,31,0,0,54,368
34;L;11,12;1939371/6250000,347217/1250000;2,31,0,0,54,368;4,2777,0,0,5234,750488
34;L;12,13;347217/1250000,1691173/6250000;4,2777,0,0,5234,750488;8,27058768,0,0,52018043,4900302
34;L;13,14;1691173/6250000,26654421/100000000;8,27058768,0,0,52018043,4900302;10,2665442100,0,0,5162791976,25100030848
34;L;14,15;26654421/100000000,6239863/25000000;10,2665442100,0,0,5162791976,25100030848;8,24959452,0,0,49959435,108961550
34;L;15,16;6239863/25000000,23320159/100000000;8,24959452,0,0,49959435,108961550;8,23320159,0,0,48290950,96195000
34;L;16,17;23320159/100000000,21736543/100000000;8,23320159,0,0,48290950,96195000;8,21736543,0,0,46622465,114647550
34;L;17,18;21736543/100000000,20208603/100000000;8,21736543,0,0,46622465,114647550;10,2020860300,0,0,4495397956,434382044128
34;L;18,19;20208603/100000000,19069063/100000000;10,2020860300,0,0,4495397956,434382044128;8,19069063,0,0,43668138,47225912
34;L;19,20;19069063/100000000,18736341/100000000;8,19069063,0,0,43668138,47225912;8,18736341,0,0,43285495,45209950
34;L;20,21;18736341/100000000,3463951/20000000;8,18736341,0,0,43285495,45209950;10,1731975500,0,0,4161700946,472125410168
34;L;21,22;3463951/20000000,15958847/100000000;10,1731975500,0,0,4161700946,472125410168;8,15958847,0,0,39948525,100648750
34;L;22,23;15958847/100000000,2930723/20000000;8,15958847,0,0,39948525,100648750;8,14653615,0,0,38280040,75196800
34;L;23,24;2930723/20000000,670203/5000000;8,14653615,0,0,38280040,75196800;8,13404060,0,0,36611555,80963950
34;L;24,25;670203/5000000,12210181/100000000;8,13404060,0,0,36611555,80963950;10,1221018100,0,0,3494306926,213816861048
34;L;25,26;12210181/100000000,553599/5000000;10,1221018100,0,0,3494306926,213816861048;10,1107198000,0,0,3327458421,913032373518
34;L;26,27;553599/5000000,2062891/20000000;10,1107198000,0,0,3327458421,913032373518;10,1031445500,0,0,3211612513,132683649662
35;C;0,1;37828413/100000000;2,37,35,60,0,2575;2,37,35,61,0,2454
36;C;0,12;347217/1250000;2,27,5,60,0,1775;2,27,5,64,0,1279
37;C;0,1;37828413/100000000;2,37,60,36,0,2504;2,37,61,35,0,2454
38;C;0,12;347217/1250000;2,27,5,60,0,1775;2,27,5,64,0,1279
39;C;1,12;347217/1250000;2,27,61,35,0,454;2,27,64,5,0,1279
40;C;0,27;2062891/20000000;2,10,5,5,0,1950;2,10,6,6,0,1928
41;C;0,27;2062891/20000000;2,10,5,5,0,1950;2,10,6,6,0,1928
42;C;12,15;6239863/25000000;2,24,5,64,0,679;2,24,5,57,0,1526
42;C;15,19;19069063/100000000;2,19,5,57,0,526;2,19,6,39,0,2243
42;C;19,27;2062891/20000000;2,10,6,39,0,443;2,10,6,6,0,1928
43;C;0,1;37828413/100000000;2,37,0,60,18,3152;2,37,0,61,19,2957
44;C;0,12;347217/1250000;2,27,0,60,3,1782;2,27,0,64,3,1286
45;C;0,1;37828413/100000000;2,37,0,60,18,3152;2,37,0,61,19,2957
46;C;0,12;347217/1250000;2,27,0,60,0,1800;2,27,0,64,3,1286
47;C;1,12;347217/1250000;2,27,61,0,19,957;2,27,64,0,3,1286
48;C;0,27;2062891/20000000;2,10,0,5,2,1967;2,10,0,6,3,1946
49;C;0,27;2062891/20000000;2,10,0,5,0,1975;2,10,0,6,3,1946
50;C;12,15;6239863/25000000;2,24,0,64,3,686;2,24,0,57,3,1533
50;C;15,19;19069063/100000000;2,19,0,57,3,533;2,19,0,39,3,2261
50;C;19,27;2062891/20000000;2,10,0,39,3,461;2,10,0,6,3,1946
51;C;0,1;37828413/100000000;2,37,0,0,40,4200;2,37,0,0,41,4038
52;C;0,19;19069063/100000000;2,19,0,0,22,2832;2,19,0,0,24,2648
53;C;0,1;37828413/100000000;2,37,0,0,41,4038;2,37,0,0,41,4038
54;C;0,19;19069063/100000000;2,19,0,0,24,2648;2,19,0,0,24,2648
55;C;1,19;19069063/100000000;2,19,0,0,41,438;2,19,0,0,24,2648
56;C;0,1;37828413/100000000;2,37,4,48,0,5080;2,37,4,48,0,5080
57;C;0,19;19069063/100000000;2,19,4,4,0,3768;2,19,5,5,0,3750
58;C;0,1;37828413/100000000;2,37,4,48,0,5080;2,37,4,48,0,5080
59;C;0,19;19069063/100000000;2,19,4,4,0,3768;2,19,5,5,0,3750
60;C;1,19;19069063/100000000;2,19,4,48,0,1480;2,19,5,5,0,3750
61;C;0,1;37828413/100000000;2,37,0,48,2,5088;2,37,0,48,2,5088
62;C;0,19;19069063/100000000;2,19,0,4,2,3776;2,19,0,5,2,3767
63;C;0,1;37828413/100000000;2,37,0,48,2,5088;2,37,0,48,2,5088
64;C;0,19;19069063/100000000;2,19,0,4,0,3784;2,19,0,5,2,3767
65;C;1,19;19069063/100000000;2,19,0,48,2,1488;2,19,0,5,2,3767
MASS SLACK NUMERATOR 6765012544464076551588241831606432424690191390864310823930660403022059840382559986739342709402903922410101

BIN 41: PQP; (22/17,133/102]; gamma0=5997/10000; mass ceiling=49761577/50000000.
GAMMA 0=5997/10000;1=239220450000/396706565377;2=6047/10000;3=233824500000/385914665377;4=6097/10000;5=6147/10000;6=217037100000/352339865377;7=155883000000/252282764527;8=6197/10000;9=142093350000/228385301077;10=6247/10000;11=6297/10000;12=116912250000/184746454777;13=6347/10000;14=6397/10000;15=6447/10000;16=6497/10000;17=6547/10000;18=96677437500/147052637051;19=6597/10000;20=6647/10000;21=6697/10000;22=6747/10000;23=6797/10000;24=6847/10000;25=6897/10000;26=147489300000/213244265377;27=6947/10000;28=6997/10000;29=7047/10000;30=7097/10000;31=7147/10000;32=7197/10000;33=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37751936,38155691;1,2,38155691,37408222;2,3,37408222,37093167;3,4,37093167,37173409;4,5,37173409,37785609;5,6,37785609,37944112;6,7,37944112,38178807;7,8,38178807,38402809;8,9,38402809,38708934;9,10,38708934,35382355;10,11,35382355,29259002;11,12,29259002,26333279;12,13,26333279,25674876;13,14,25674876,23959522;14,15,23959522,22303469;15,16,22303469,20706715;16,17,20706715,19169261;17,18,19169261,18353590;18,19,18353590,17691107;19,20,17691107,16272253;20,21,16272253,14912699;21,22,14912699,13612445;22,23,13612445,12371491;23,24,12371491,11189837;24,25,11189837,10067482;25,26,10067482,9646937;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0;32,33,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;343716537727/91731150000,1/3,396706565377/183462300000;-589169424188623
1;0,6,7;2,2,8;-4
3;0,3,7;37/51,2,1;-1
4;2,3,7;31/17,2,65/102;-37
8;1,3,6;20/51,3,133/102;-20
9;1,4,10;105620734301/22932787500,7/3,396706565377/183462300000;-79551924188623
10;0,10;1/3,1;-1
12;0,10;1/3,1;-1
13;2,3,10;113/51,1/3,65/102;-1
18;1,4,13;343716537727/91731150000,1/3,396706565377/183462300000;-589169424188623
19;0,3,13;37/51,2,1;-1
21;0,7,13;2,2,6;-4
22;2,3,13;31/17,2,65/102;-37
26;1,3,12;20/51,3,133/102;-20
27;0,1,7;2/3,2,1;-1
28;0,6,7;4,2,8;-4
30;0,3,7;37/51,2,1;-1
31;2,3,7;48/17,2,41/51;-20
35;1,3,6;20/51,3,133/102;-20
36;1,4,10;274398365377/45865575000,4/3,396706565377/183462300000;-385322424188623
37;0,10;1/3,1;-1
39;0,10;1/3,1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;37/51,2,1;-1
48;0,7,13;4,2,6;-4
49;2,3,13;48/17,2,41/51;-20
53;1,3,12;20/51,3,133/102;-20
54;0,1,7;5/3,2,1;-1
55;0,6,7;6,2,8;-4
56;1,4,7;56426103313/11466393750,5/3,396706565377/183462300000;-283398924188623
57;0,3,7;37/51,2,1;-1
58;2,3,7;65/17,5/2,215/204;-20
60;1,4,7;145903408927/30577050000,11/3,396706565377/183462300000;-15192474729541
62;1,3,6;20/51,3,133/102;-20
63;1,4,6;328305704527/45865575000,2/3,396706565377/183462300000;-385322424188623
64;0,10;1/3,1;-1
65;1,4,6;328305704527/45865575000,2/3,396706565377/183462300000;-385322424188623
66;0,10;1/3,1;-1
69;1,4,10;145903408927/30577050000,11/3,396706565377/183462300000;-15192474729541
72;0,1,13;5/3,2,1;-1
73;0,3,13;37/51,2,1;-1
74;1,4,6;328305704527/45865575000,2/3,396706565377/183462300000;-385322424188623
75;0,7,13;6,2,6;-4
76;2,3,13;65/17,5/2,215/204;-20
78;1,4,9;56426103313/11466393750,5/3,396706565377/183462300000;-283398924188623
80;1,3,12;20/51,3,133/102;-20
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;447277732760454,15050424988782397646775000,872216440500927,5508
5;8,4,2,3;872216440500927,2914191452202144948225000,2080732363879254,1428
6;1,4,12,3;447277732760454,38424324656344897646775000,2340403317710631,7089
7;11,4,2,3;2340403317710631,45865575000,2080732363879254,51
11;1,4,6,3;447277732760454,38424324656344897646775000,2340403317710631,7089
14;5,4,2,3;2340403317710631,45865575000,2080732363879254,51
15;1,4,12,3;447277732760454,38424324656344897646775000,2340403317710631,7089
16;11,4,2,3;2340403317710631,45865575000,2080732363879254,51
17;8,4,2,3;872216440500927,2914191452202144948225000,2080732363879254,1428
20;1,4,6,3;447277732760454,38424324656344897646775000,2340403317710631,7089
23;5,4,2,3;2340403317710631,45865575000,2080732363879254,51
24;1,4,9,3;447277732760454,15050424988782397646775000,872216440500927,5508
25;8,4,2,3;872216440500927,2914191452202144948225000,2080732363879254,1428
29;1,4,7,3;447277732760454,2052170376489795293550000,406550779480227,153
32;8,4,2,3;406550779480227,20403602512130849706450000,3333141389080227,1224
33;1,4,12,3;447277732760454,10375645055269897646775000,2926830194040681,1887
34;11,4,2,3;2926830194040681,28900920990115424853225000,3333141389080227,2958
38;1,4,6,3;447277732760454,10375645055269897646775000,2926830194040681,1887
41;5,4,2,3;2926830194040681,28900920990115424853225000,3333141389080227,2958
42;1,4,12,3;447277732760454,10375645055269897646775000,2926830194040681,1887
43;11,4,2,3;2926830194040681,28900920990115424853225000,3333141389080227,2958
44;8,4,2,3;406550779480227,20403602512130849706450000,3333141389080227,1224
47;1,4,6,3;447277732760454,10375645055269897646775000,2926830194040681,1887
50;5,4,2,3;2926830194040681,28900920990115424853225000,3333141389080227,2958
51;1,4,9,3;447277732760454,2052170376489795293550000,406550779480227,153
52;8,4,2,3;406550779480227,20403602512130849706450000,3333141389080227,1224
59;1,4,2,3;447277732760454,14024339800537500000000000,5773180321150404,5202
61;1,4,2,3;447277732760454,14024339800537500000000000,5773180321150404,5202
68;1,4,2,3;447277732760454,14024339800537500000000000,5773180321150404,5202
70;1,4,2,3;447277732760454,14024339800537500000000000,5773180321150404,5202
71;1,4,2,3;447277732760454,14024339800537500000000000,5773180321150404,5202
77;1,4,2,3;447277732760454,14024339800537500000000000,5773180321150404,5202
79;1,4,2,3;447277732760454,14024339800537500000000000,5773180321150404,5202
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,1
9;6;V;12,3
10;6;E;4,1
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/9;E/4,1/2/0/1;E/4,7/3/0/9;E/4,3/4/1/9
5:V/3,8/1/0/9;V/2,3/5/0/12;E/4,8/3/0/9;E/4,2/6/0/12;E/4,3/7/9/12
6:V/3,1/8/0/1;V/12,3/9/0/7;E/4,1/10/0/1;E/4,12/11/0/7;E/4,3/12/1/7
7:V/3,11/9/0/7;V/2,3/13/0/12;E/4,11/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
11:V/3,1/16/0/1;V/6,3/17/0/7;E/4,1/18/0/1;E/4,6/19/0/7;E/4,3/20/1/7
14:V/3,5/17/0/7;V/2,3/21/0/12;E/4,5/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
15:V/3,1/16/0/1;V/12,3/17/0/7;E/4,1/18/0/1;E/4,12/19/0/7;E/4,3/20/1/7
16:V/3,11/17/0/7;V/2,3/21/0/12;E/4,11/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
17:V/3,8/1/0/9;V/2,3/5/0/12;E/4,8/3/0/9;E/4,2/6/0/12;E/4,3/7/9/12
20:V/3,1/8/0/1;V/6,3/9/0/7;E/4,1/10/0/1;E/4,6/11/0/7;E/4,3/12/1/7
23:V/3,5/9/0/7;V/2,3/13/0/12;E/4,5/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
24:V/3,1/0/0/1;V/9,3/1/0/9;E/4,1/2/0/1;E/4,9/3/0/9;E/4,3/4/1/9
25:V/3,8/1/0/9;V/2,3/5/0/12;E/4,8/3/0/9;E/4,2/6/0/12;E/4,3/7/9/12
29:V/3,1/24/0/1;V/7,3/25/0/3;E/4,1/26/0/1;E/4,7/27/0/3;E/4,3/28/1/3
32:V/3,8/25/0/3;V/2,3/29/0/26;E/4,8/27/0/3;E/4,2/30/0/26;E/4,3/31/3/26
33:V/3,1/32/0/1;V/12,3/33/0/6;E/4,1/34/0/1;E/4,12/35/0/6;E/4,3/36/1/6
34:V/3,11/33/0/6;V/2,3/37/0/26;E/4,11/35/0/6;E/4,2/38/0/26;E/4,3/39/6/26
38:V/3,1/40/0/1;V/6,3/41/0/6;E/4,1/42/0/1;E/4,6/43/0/6;E/4,3/44/1/6
40:V/2,3/37/0/26;E/4,2/38/0/26
41:V/3,5/41/0/6;V/2,3/45/0/26;E/4,5/43/0/6;E/4,2/46/0/26;E/4,3/47/6/26
42:V/3,1/40/0/1;V/12,3/41/0/6;E/4,1/42/0/1;E/4,12/43/0/6;E/4,3/44/1/6
43:V/3,11/41/0/6;V/2,3/45/0/26;E/4,11/43/0/6;E/4,2/46/0/26;E/4,3/47/6/26
44:V/3,8/25/0/3;V/2,3/29/0/26;E/4,8/27/0/3;E/4,2/30/0/26;E/4,3/31/3/26
47:V/3,1/32/0/1;V/6,3/33/0/6;E/4,1/34/0/1;E/4,6/35/0/6;E/4,3/36/1/6
50:V/3,5/33/0/6;V/2,3/37/0/26;E/4,5/35/0/6;E/4,2/38/0/26;E/4,3/39/6/26
51:V/3,1/24/0/1;V/9,3/25/0/3;E/4,1/26/0/1;E/4,9/27/0/3;E/4,3/28/1/3
52:V/3,8/25/0/3;V/2,3/29/0/26;E/4,8/27/0/3;E/4,2/30/0/26;E/4,3/31/3/26
59:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
61:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
67:V/2,3/54/0/18;E/4,2/56/0/18
68:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
70:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
71:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
77:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
79:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;294937/781250,38155691/100000000;4,3775,0,1884,5997,22526;10,3815569100,0,1893593270,6030161104,647421709468
1;C;0,2;18704111/50000000;2,37,0,0,60,200;4,3740,0,0,6047,1667582
1;C;2,3;37093167/100000000;4,3709,0,0,6047,1047582;4,3709,0,0,6059,757038
1;L;3,4;37093167/100000000,37173409/100000000;4,3709,0,0,6059,757038;8,37173409,0,0,60970000,0
1;L;4,5;37173409/100000000,37785609/100000000;8,37173409,0,0,60970000,0;8,37785609,0,0,61470000,0
1;L;5,6;37785609/100000000,2371507/6250000;8,37785609,0,0,61470000,0;8,37944112,0,0,61598792,48281472
1;L;6,7;2371507/6250000,38178807/100000000;8,37944112,0,0,61598792,48281472;10,3817880700,0,0,6178900105,984861977950
1;L;7,8;38178807/100000000,38402809/100000000;10,3817880700,0,0,6178900105,984861977950;8,38402809,0,0,61970000,0
1;L;8,9;38402809/100000000,19354467/50000000;8,38402809,0,0,61970000,0;10,3870893400,0,0,6221650401,575473078398
2;L;0,1;294937/781250,38155691/100000000;8,37751936,0,18909924,59970000,174314224;10,3815569100,0,1893593270,6030161104,647421709468
3;C;0,2;18704111/50000000;2,37,0,0,60,200;4,3740,0,0,6047,1667582
3;C;2,3;37093167/100000000;4,3709,0,0,6047,1047582;4,3709,0,0,6059,757038
3;L;3,4;37093167/100000000,37173409/100000000;4,3709,0,0,6059,757038;8,37173409,0,0,60970000,0
3;L;4,5;37173409/100000000,37785609/100000000;8,37173409,0,0,60970000,0;8,37785609,0,0,61470000,0
3;L;5,6;37785609/100000000,2371507/6250000;8,37785609,0,0,61470000,0;8,37944112,0,0,61598792,48281472
3;L;6,7;2371507/6250000,38178807/100000000;8,37944112,0,0,61598792,48281472;10,3817880700,0,0,6178900105,984861977950
3;L;7,8;38178807/100000000,38402809/100000000;10,3817880700,0,0,6178900105,984861977950;8,38402809,0,0,61970000,0
3;L;8,9;38402809/100000000,19354467/50000000;8,38402809,0,0,61970000,0;10,3870893400,0,0,6221650401,575473078398
4;L;1,2;38155691/100000000,18704111/50000000;10,3815569100,0,1893593270,6030161104,647421709468;8,37408222,0,12976998,60470000,122907996
4;L;2,3;18704111/50000000,37093167/100000000;8,37408222,0,12976998,60470000,122907996;12,370931670000,0,87414125954,605896901513,57590180211546
4;L;3,4;37093167/100000000,37173409/100000000;12,370931670000,0,87414125954,605896901513,57590180211546;8,37173409,0,0,60970000,0
4;L;4,5;37173409/100000000,37785609/100000000;8,37173409,0,0,60970000,0;8,37785609,0,0,61470000,0
4;L;5,6;37785609/100000000,2371507/6250000;8,37785609,0,0,61470000,0;8,37944112,0,0,61598792,48281472
4;L;6,7;2371507/6250000,38178807/100000000;8,37944112,0,0,61598792,48281472;10,3817880700,0,0,6178900105,984861977950
4;L;7,8;38178807/100000000,38402809/100000000;10,3817880700,0,0,6178900105,984861977950;8,38402809,0,0,61970000,0
4;L;8,9;38402809/100000000,19354467/50000000;8,38402809,0,0,61970000,0;10,3870893400,0,0,6221650401,575473078398
5;C;0,12;26333279/100000000;2,26,0,0,49,398;4,2633,0,0,5073,1189342
6;C;0,12;26333279/100000000;4,2633,0,0,5047,1715582;4,2633,0,0,5073,1189342
7;L;9,10;19354467/50000000,7076471/20000000;10,3870893400,0,0,6221650401,575473078398;8,35382355,0,0,59483069,4682478
7;L;10,11;7076471/20000000,14629501/50000000;8,35382355,0,0,59483069,4682478;10,2925900200,0,0,5409159084,7960561888
7;L;11,12;14629501/50000000,26333279/100000000;10,2925900200,0,0,5409159084,7960561888;4,2633,0,0,5073,1189342
8;C;0,1;294937/781250;2,37,49,60,3,1381;2,37,49,61,3,1260
9;C;0,7;37093167/100000000;2,37,0,60,1,3798;2,37,0,62,1,3554
10;C;0,1;294937/781250;2,37,60,49,2,1391;2,37,61,49,3,1260
11;C;0,7;37093167/100000000;2,37,0,60,0,3800;2,37,0,62,1,3554
12;C;1,7;37093167/100000000;2,37,61,49,3,1260;2,37,62,0,1,3554
13;C;0,12;26333279/100000000;2,26,0,5,0,5175;2,26,0,5,0,5175
14;C;0,12;26333279/100000000;2,26,0,5,0,5175;2,26,0,5,0,5175
15;C;7,12;26333279/100000000;2,26,0,62,1,1354;2,26,0,5,0,5175
16;C;0,1;294937/781250;2,37,0,60,40,600;2,37,0,61,40,479
17;C;0,7;37093167/100000000;2,37,0,60,14,3408;2,37,0,62,15,3106
18;C;0,1;294937/781250;2,37,0,60,40,600;2,37,0,61,40,479
19;C;0,7;37093167/100000000;2,37,0,60,13,3462;2,37,0,62,15,3106
20;C;1,7;37093167/100000000;2,37,61,0,40,479;2,37,62,0,15,3106
21;C;0,12;26333279/100000000;2,26,0,5,17,4597;2,26,0,5,18,4527
22;C;0,12;26333279/100000000;2,26,0,5,15,4725;2,26,0,5,18,4527
23;C;7,12;26333279/100000000;2,26,0,62,15,906;2,26,0,5,18,4527
24;C;0,1;294937/781250;2,37,0,0,60,200;4,3775,0,0,6031,2754078
25;C;0,3;37093167/100000000;2,37,0,0,60,200;4,3709,0,0,6059,757038
26;C;0,1;294937/781250;2,37,0,0,60,200;4,3775,0,0,6031,2754078
27;C;0,3;37093167/100000000;2,37,0,0,60,200;4,3709,0,0,6059,757038
28;C;1,3;37093167/100000000;4,3709,0,0,6031,1434078;4,3709,0,0,6059,757038
29;C;0,26;9646937/100000000;2,9,0,0,27,342;10,964693700,0,0,3105951809,720339255038
30;C;0,26;9646937/100000000;4,964,0,0,3052,650592;10,964693700,0,0,3105951809,720339255038
31;C;3,8;37093167/100000000;4,3709,0,0,6059,757038;2,37,0,0,56,1128
31;C;8,9;38402809/100000000;2,38,0,0,56,1328;2,38,0,0,55,1550
31;C;9,10;7076471/20000000;2,35,0,0,55,950;2,35,0,0,55,950
31;L;10,11;7076471/20000000,14629501/50000000;2,35,0,0,55,950;2,29,0,0,53,182
31;L;11,12;14629501/50000000,26333279/100000000;2,29,0,0,53,182;10,2633327900,0,0,5131596110,727665735800
31;L;12,13;26333279/100000000,6418719/25000000;10,2633327900,0,0,5131596110,727665735800;10,2567487600,0,0,5067038161,549939476158
31;L;13,14;6418719/25000000,11979761/50000000;10,2567487600,0,0,5067038161,549939476158;10,2395952200,0,0,4894846468,109415849952
31;L;14,15;11979761/50000000,22303469/100000000;10,2395952200,0,0,4894846468,109415849952;8,22303469,0,0,47226548,128007392
31;L;15,16;22303469/100000000,4141343/20000000;8,22303469,0,0,47226548,128007392;8,20706715,0,0,45504631,115107678
31;L;16,17;4141343/20000000,19169261/100000000;8,20706715,0,0,45504631,115107678;8,19169261,0,0,43782714,109588408
31;L;17,18;19169261/100000000,1835359/10000000;8,19169261,0,0,43782714,109588408;8,18353590,0,0,42841090,15223800
31;L;18,19;1835359/10000000,17691107/100000000;8,18353590,0,0,42841090,15223800;8,17691107,0,0,42060797,111449582
31;L;19,20;17691107/100000000,16272253/100000000;8,17691107,0,0,42060797,111449582;10,1627225300,0,0,4033888006,1110098687928
31;L;20,21;16272253/100000000,14912699/100000000;10,1627225300,0,0,4033888006,1110098687928;10,1491269900,0,0,3861696314,1156877626808
31;L;21,22;14912699/100000000,2722489/20000000;10,1491269900,0,0,3861696314,1156877626808;8,13612445,0,0,36895047,13735582
31;L;22,23;2722489/20000000,12371491/100000000;8,13612445,0,0,36895047,13735582;8,12371491,0,0,35173130,52006200
31;L;23,24;12371491/100000000,11189837/100000000;8,12371491,0,0,35173130,52006200;8,11189837,0,0,33451213,97657262
31;L;24,25;11189837/100000000,5033741/50000000;8,11189837,0,0,33451213,97657262;10,1006748200,0,0,3172929545,204932185950
31;L;25,26;5033741/50000000,9646937/100000000;10,1006748200,0,0,3172929545,204932185950;10,964693700,0,0,3105951809,720339255038
32;C;0,1;294937/781250;2,37,5,60,1,3773;2,37,5,61,1,3652
33;C;0,6;37093167/100000000;2,37,0,60,1,3798;2,37,0,62,1,3554
34;C;0,1;294937/781250;2,37,60,6,1,3762;2,37,61,5,1,3652
35;C;0,6;37093167/100000000;2,37,0,60,0,3800;2,37,0,62,1,3554
36;C;1,6;37093167/100000000;2,37,61,5,1,3652;2,37,62,0,1,3554
37;C;0,26;9646937/100000000;2,9,0,0,0,1800;2,9,0,0,0,1800
38;C;0,26;9646937/100000000;2,9,0,0,0,1800;2,9,0,0,0,1800
39;C;6,16;4141343/20000000;2,20,0,62,1,154;2,20,0,24,1,3422
39;C;16,26;9646937/100000000;2,9,0,24,1,1222;2,9,0,0,0,1800
40;C;0,1;294937/781250;2,37,0,60,18,3152;2,37,0,61,18,3031
41;C;0,6;37093167/100000000;2,37,0,60,11,3558;2,37,0,62,11,3314
42;C;0,1;294937/781250;2,37,0,60,18,3152;2,37,0,61,18,3031
43;C;0,6;37093167/100000000;2,37,0,60,9,3638;2,37,0,62,11,3314
44;C;1,6;37093167/100000000;2,37,61,0,18,3031;2,37,62,0,11,3314
45;C;0,26;9646937/100000000;2,9,0,0,14,1408;2,9,0,0,16,1288
46;C;0,26;9646937/100000000;2,9,0,0,6,1728;2,9,0,0,16,1288
47;C;6,16;4141343/20000000;4,2070,0,6160,1035,1311950;2,20,0,24,13,3086
47;C;16,26;9646937/100000000;2,9,0,24,13,886;2,9,0,0,16,1288
48;C;0,1;294937/781250;2,37,0,0,40,4200;2,37,0,0,40,4200
49;C;0,18;1835359/10000000;2,18,0,0,21,2718;2,18,0,0,23,2542
50;C;0,1;294937/781250;2,37,0,0,40,4200;2,37,0,0,40,4200
51;C;0,18;1835359/10000000;2,18,0,0,23,2542;2,18,0,0,23,2542
52;C;1,18;1835359/10000000;2,18,0,0,40,400;2,18,0,0,23,2542
53;C;0,1;294937/781250;2,37,0,33,1,6309;2,37,0,33,1,6309
54;C;0,18;1835359/10000000;2,18,0,0,0,3600;2,18,0,0,0,3600
55;C;0,1;294937/781250;2,37,0,33,0,6311;2,37,0,33,1,6309
56;C;0,18;1835359/10000000;2,18,0,0,0,3600;2,18,0,0,0,3600
57;C;1,18;1835359/10000000;2,18,0,33,1,2509;2,18,0,0,0,3600
58;C;0,1;294937/781250;2,37,0,33,9,6149;2,37,0,33,9,6149
59;C;0,18;1835359/10000000;2,18,0,0,11,3358;2,18,0,0,12,3312
60;C;0,1;294937/781250;2,37,0,33,9,6149;2,37,0,33,9,6149
61;C;0,18;1835359/10000000;2,18,0,0,6,3528;2,18,0,0,12,3312
62;C;1,18;1835359/10000000;2,18,0,33,9,2349;2,18,0,0,12,3312
MASS SLACK NUMERATOR 61431646279998716383187575858135957677235420177945943845387910192231342349965878162848735301

BIN 42: PQP; (133/102,67/51]; gamma0=751/1250; mass ceiling=99833161/100000000.
GAMMA 0=751/1250;1=241019100000/398956565377;2=3029/5000;3=237421800000/391761965377;4=1527/2500;5=3079/5000;6=219435300000/355788965377;7=14389200000/23233798607;8=388/625;9=145690650000/233752361527;10=3129/5000;11=1577/2500;12=10791900000/16999677707;13=3179/5000;14=801/1250;15=3229/5000;16=1627/2500;17=3279/5000;18=97576762500/148177637051;19=413/625;20=3329/5000;21=1677/2500;22=3379/5000;23=851/1250;24=3429/5000;25=1727/2500;26=149287950000/215494265377;27=3479/5000;28=438/625;29=3529/5000;30=1777/2500;31=3579/5000;32=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37709043,38113032;1,2,38113032,37438897;2,3,37438897,37371262;3,4,37371262,37307664;4,5,37307664,37920964;5,6,37920964,38038908;6,7,38038908,38355960;7,8,38355960,38539264;8,9,38539264,38846451;9,10,38846451,35530263;10,11,35530263,29413409;11,12,29413409,25507120;12,13,25507120,25164519;13,14,25164519,23435835;14,15,23435835,21768658;15,16,21768658,20162990;16,17,20162990,18618829;17,18,18618829,17806984;18,19,17806984,17136175;19,20,17136175,15715030;20,21,15715030,14355392;21,22,14355392,13057261;22,23,13057261,11820639;23,24,11820639,10645524;24,25,10645524,9531916;25,26,9531916,9110058;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;345966537727/91731150000,1/3,398956565377/183462300000;-223173755598127
1;0,6,7;2,2,8;-4
3;0,3,7;12/17,2,1;-1
4;2,3,7;32/17,2,11/17;-12
8;1,3,6;19/51,3,67/51;-19
9;1,4,10;106745734301/22932787500,7/3,398956565377/183462300000;-32067193098127
10;0,10;1/3,1;-1
12;0,10;1/3,1;-1
13;2,3,10;115/51,1/3,11/17;-1
18;1,4,13;345966537727/91731150000,1/3,398956565377/183462300000;-223173755598127
19;0,3,13;12/17,2,1;-1
21;0,7,13;2,2,6;-4
22;2,3,13;32/17,2,11/17;-12
26;1,3,12;19/51,3,67/51;-19
27;0,1,7;2/3,2,1;-1
28;0,6,7;4,2,8;-4
30;0,3,7;12/17,2,1;-1
31;2,3,7;49/17,2,83/102;-19
35;1,3,6;19/51,3,67/51;-19
36;1,4,10;276648365377/45865575000,4/3,398956565377/183462300000;-146731130598127
37;0,10;1/3,1;-1
39;0,10;1/3,1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;12/17,2,1;-1
48;0,7,13;4,2,6;-4
49;2,3,13;49/17,2,83/102;-19
53;1,3,12;19/51,3,67/51;-19
54;0,1,7;5/3,2,1;-1
55;0,6,7;6,2,8;-4
56;1,4,7;56988603313/11466393750,5/3,398956565377/183462300000;-108509818098127
57;0,3,7;12/17,2,1;-1
58;2,3,7;66/17,5/2,217/204;-19
60;1,4,7;148153408927/30577050000,11/3,398956565377/183462300000;-19326755598127
62;1,3,6;19/51,3,67/51;-19
63;1,4,6;330555704527/45865575000,2/3,398956565377/183462300000;-146731130598127
64;0,10;1/3,1;-1
65;1,4,6;330555704527/45865575000,2/3,398956565377/183462300000;-146731130598127
66;0,10;1/3,1;-1
69;1,4,10;148153408927/30577050000,11/3,398956565377/183462300000;-19326755598127
72;0,1,13;5/3,2,1;-1
73;0,3,13;12/17,2,1;-1
74;1,4,6;330555704527/45865575000,2/3,398956565377/183462300000;-146731130598127
75;0,7,13;6,2,6;-4
76;2,3,13;66/17,5/2,217/204;-19
78;1,4,9;56988603313/11466393750,5/3,398956565377/183462300000;-108509818098127
80;1,3,12;19/51,3,67/51;-19
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;84532214495523,5541389650187123721975000,111609912884791,901
5;8,4,2,3;111609912884791,1181974215701197433025000,1117544519521,85
6;1,4,12,3;84532214495523,14306602025523061221975000,27433779553293,1173
7;11,4,2,3;27433779553293,45865575000,1117544519521,17
11;1,4,6,3;84532214495523,14306602025523061221975000,27433779553293,1173
14;5,4,2,3;27433779553293,45865575000,1117544519521,17
15;1,4,12,3;84532214495523,14306602025523061221975000,27433779553293,1173
16;11,4,2,3;27433779553293,45865575000,1117544519521,17
17;8,4,2,3;111609912884791,1181974215701197433025000,1117544519521,85
20;1,4,6,3;84532214495523,14306602025523061221975000,27433779553293,1173
23;5,4,2,3;27433779553293,45865575000,1117544519521,17
24;1,4,9,3;84532214495523,5541389650187123721975000,111609912884791,901
25;8,4,2,3;111609912884791,1181974215701197433025000,1117544519521,85
29;1,4,7,3;84532214495523,564524449971122443950000,43588238031841,17
32;8,4,2,3;43588238031841,7833250222590732556050000,2526921908591046,833
33;1,4,12,3;84532214495523,3788347175119936221975000,361927212095523,306
34;11,4,2,3;361927212095523,10928795011564116278025000,2526921908591046,1989
38;1,4,6,3;84532214495523,3788347175119936221975000,361927212095523,306
41;5,4,2,3;361927212095523,10928795011564116278025000,2526921908591046,1989
42;1,4,12,3;84532214495523,3788347175119936221975000,361927212095523,306
43;11,4,2,3;361927212095523,10928795011564116278025000,2526921908591046,1989
44;8,4,2,3;43588238031841,7833250222590732556050000,2526921908591046,833
47;1,4,6,3;84532214495523,3788347175119936221975000,361927212095523,306
50;5,4,2,3;361927212095523,10928795011564116278025000,2526921908591046,1989
51;1,4,9,3;84532214495523,564524449971122443950000,43588238031841,17
52;8,4,2,3;43588238031841,7833250222590732556050000,2526921908591046,833
59;1,4,2,3;84532214495523,5259127425201562500000000,2180667730738596,2601
61;1,4,2,3;84532214495523,5259127425201562500000000,2180667730738596,2601
68;1,4,2,3;84532214495523,5259127425201562500000000,2180667730738596,2601
70;1,4,2,3;84532214495523,5259127425201562500000000,2180667730738596,2601
71;1,4,2,3;84532214495523,5259127425201562500000000,2180667730738596,2601
77;1,4,2,3;84532214495523,5259127425201562500000000,2180667730738596,2601
79;1,4,2,3;84532214495523,5259127425201562500000000,2180667730738596,2601
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,1
9;6;V;12,3
10;6;E;4,1
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/9;E/4,1/2/0/1;E/4,7/3/0/9;E/4,3/4/1/9
5:V/3,8/1/0/9;V/2,3/5/0/12;E/4,8/3/0/9;E/4,2/6/0/12;E/4,3/7/9/12
6:V/3,1/8/0/1;V/12,3/9/0/7;E/4,1/10/0/1;E/4,12/11/0/7;E/4,3/12/1/7
7:V/3,11/9/0/7;V/2,3/13/0/12;E/4,11/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
11:V/3,1/16/0/1;V/6,3/17/0/7;E/4,1/18/0/1;E/4,6/19/0/7;E/4,3/20/1/7
14:V/3,5/17/0/7;V/2,3/21/0/12;E/4,5/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
15:V/3,1/16/0/1;V/12,3/17/0/7;E/4,1/18/0/1;E/4,12/19/0/7;E/4,3/20/1/7
16:V/3,11/17/0/7;V/2,3/21/0/12;E/4,11/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
17:V/3,8/1/0/9;V/2,3/5/0/12;E/4,8/3/0/9;E/4,2/6/0/12;E/4,3/7/9/12
20:V/3,1/8/0/1;V/6,3/9/0/7;E/4,1/10/0/1;E/4,6/11/0/7;E/4,3/12/1/7
23:V/3,5/9/0/7;V/2,3/13/0/12;E/4,5/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
24:V/3,1/0/0/1;V/9,3/1/0/9;E/4,1/2/0/1;E/4,9/3/0/9;E/4,3/4/1/9
25:V/3,8/1/0/9;V/2,3/5/0/12;E/4,8/3/0/9;E/4,2/6/0/12;E/4,3/7/9/12
29:V/3,1/24/0/1;V/7,3/25/0/3;E/4,1/26/0/1;E/4,7/27/0/3;E/4,3/28/1/3
32:V/3,8/25/0/3;V/2,3/29/0/26;E/4,8/27/0/3;E/4,2/30/0/26;E/4,3/31/3/26
33:V/3,1/32/0/1;V/12,3/33/0/6;E/4,1/34/0/1;E/4,12/35/0/6;E/4,3/36/1/6
34:V/3,11/33/0/6;V/2,3/37/0/26;E/4,11/35/0/6;E/4,2/38/0/26;E/4,3/39/6/26
38:V/3,1/40/0/1;V/6,3/41/0/6;E/4,1/42/0/1;E/4,6/43/0/6;E/4,3/44/1/6
40:V/2,3/37/0/26;E/4,2/38/0/26
41:V/3,5/41/0/6;V/2,3/45/0/26;E/4,5/43/0/6;E/4,2/46/0/26;E/4,3/47/6/26
42:V/3,1/40/0/1;V/12,3/41/0/6;E/4,1/42/0/1;E/4,12/43/0/6;E/4,3/44/1/6
43:V/3,11/41/0/6;V/2,3/45/0/26;E/4,11/43/0/6;E/4,2/46/0/26;E/4,3/47/6/26
44:V/3,8/25/0/3;V/2,3/29/0/26;E/4,8/27/0/3;E/4,2/30/0/26;E/4,3/31/3/26
47:V/3,1/32/0/1;V/6,3/33/0/6;E/4,1/34/0/1;E/4,6/35/0/6;E/4,3/36/1/6
50:V/3,5/33/0/6;V/2,3/37/0/26;E/4,5/35/0/6;E/4,2/38/0/26;E/4,3/39/6/26
51:V/3,1/24/0/1;V/9,3/25/0/3;E/4,1/26/0/1;E/4,9/27/0/3;E/4,3/28/1/3
52:V/3,8/25/0/3;V/2,3/29/0/26;E/4,8/27/0/3;E/4,2/30/0/26;E/4,3/31/3/26
59:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
61:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
67:V/2,3/54/0/18;E/4,2/56/0/18
68:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
70:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
71:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
77:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
79:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;37709043/100000000,4764129/12500000;4,3770,0,1789,6008,7351;10,3811303200,0,1798050223,6041236589,347024940429
1;C;0,4;2331729/6250000;4,3730,0,0,6008,2407872;8,37307664,0,0,61080000,0
1;L;4,5;2331729/6250000,9480241/25000000;8,37307664,0,0,61080000,0;8,37920964,0,0,61580000,0
1;L;5,6;9480241/25000000,9509727/25000000;8,37920964,0,0,61580000,0;10,3803890800,0,0,6167569019,791742755278
1;L;6,7;9509727/25000000,958899/2500000;10,3803890800,0,0,6167569019,791742755278;10,3835596000,0,0,6193218872,7006095232
1;L;7,8;958899/2500000,150544/390625;10,3835596000,0,0,6193218872,7006095232;8,38539264,0,0,62080000,0
1;L;8,9;150544/390625,38846451/100000000;8,38539264,0,0,62080000,0;10,3884645100,0,0,6232692113,49095190462
2;L;0,1;37709043/100000000,4764129/12500000;8,37709043,0,17960952,60080000,3253696;10,3811303200,0,1798050223,6041236589,347024940429
3;C;0,4;2331729/6250000;4,3730,0,0,6008,2407872;8,37307664,0,0,61080000,0
3;L;4,5;2331729/6250000,9480241/25000000;8,37307664,0,0,61080000,0;8,37920964,0,0,61580000,0
3;L;5,6;9480241/25000000,9509727/25000000;8,37920964,0,0,61580000,0;10,3803890800,0,0,6167569019,791742755278
3;L;6,7;9509727/25000000,958899/2500000;10,3803890800,0,0,6167569019,791742755278;10,3835596000,0,0,6193218872,7006095232
3;L;7,8;958899/2500000,150544/390625;10,3835596000,0,0,6193218872,7006095232;8,38539264,0,0,62080000,0
3;L;8,9;150544/390625,38846451/100000000;8,38539264,0,0,62080000,0;10,3884645100,0,0,6232692113,49095190462
4;L;1,2;4764129/12500000,37438897/100000000;10,3811303200,0,1798050223,6041236589,347024940429;8,37438897,0,12161679,60580000,163900959
4;L;2,3;37438897/100000000,18685631/50000000;8,37438897,0,12161679,60580000,163900959;10,3737126200,0,1134297048,6060358611,1219054787054
4;L;3,4;18685631/50000000,2331729/6250000;10,3737126200,0,1134297048,6060358611,1219054787054;8,37307664,0,0,61080000,0
4;L;4,5;2331729/6250000,9480241/25000000;8,37307664,0,0,61080000,0;8,37920964,0,0,61580000,0
4;L;5,6;9480241/25000000,9509727/25000000;8,37920964,0,0,61580000,0;10,3803890800,0,0,6167569019,791742755278
4;L;6,7;9509727/25000000,958899/2500000;10,3803890800,0,0,6167569019,791742755278;10,3835596000,0,0,6193218872,7006095232
4;L;7,8;958899/2500000,150544/390625;10,3835596000,0,0,6193218872,7006095232;8,38539264,0,0,62080000,0
4;L;8,9;150544/390625,38846451/100000000;8,38539264,0,0,62080000,0;10,3884645100,0,0,6232692113,49095190462
5;C;0,12;318839/1250000;2,25,0,0,48,392;2,25,0,0,50,0
6;C;0,12;318839/1250000;2,25,0,0,50,0;2,25,0,0,50,0
7;L;9,10;38846451/100000000,35530263/100000000;10,3884645100,0,0,6232692113,49095190462;8,35530263,0,0,59607267,41581422
7;L;10,11;35530263/100000000,29413409/100000000;8,35530263,0,0,59607267,41581422;10,2941340900,0,0,5423413028,255439742432
7;L;11,12;29413409/100000000,318839/1250000;10,2941340900,0,0,5423413028,255439742432;2,25,0,0,50,0
8;C;0,1;37709043/100000000;2,37,48,61,2,1367;2,37,48,61,2,1367
9;C;0,7;2331729/6250000;2,37,0,61,1,3677;2,37,0,62,1,3554
10;C;0,1;37709043/100000000;2,37,61,48,2,1367;2,37,61,48,2,1367
11;C;0,7;2331729/6250000;2,37,0,61,0,3679;2,37,0,62,1,3554
12;C;1,7;2331729/6250000;2,37,61,48,2,1367;2,37,62,0,1,3554
13;C;0,12;318839/1250000;2,25,0,4,1,4982;2,25,0,4,1,4982
14;C;0,12;318839/1250000;2,25,0,4,0,4984;2,25,0,4,1,4982
15;C;7,12;318839/1250000;2,25,0,62,1,1154;2,25,0,4,1,4982
16;C;0,1;37709043/100000000;2,37,0,61,39,637;2,37,0,61,40,479
17;C;0,7;2331729/6250000;2,37,0,61,14,3287;2,37,0,62,14,3164
18;C;0,1;37709043/100000000;2,37,0,61,40,479;2,37,0,61,40,479
19;C;0,7;2331729/6250000;2,37,0,61,12,3391;2,37,0,62,14,3164
20;C;1,7;2331729/6250000;2,37,61,0,40,479;2,37,62,0,14,3164
21;C;0,12;318839/1250000;2,25,0,4,17,4406;2,25,0,4,18,4336
22;C;0,12;318839/1250000;2,25,0,4,14,4592;2,25,0,4,18,4336
23;C;7,12;318839/1250000;2,25,0,62,14,764;2,25,0,4,18,4336
24;C;0,1;37709043/100000000;4,3770,0,0,6008,3207872;4,3770,0,0,6042,2388472
25;C;0,3;18685631/50000000;4,3737,0,0,6008,2547872;4,3737,0,0,6061,1268558
26;C;0,1;37709043/100000000;4,3770,0,0,6008,3207872;4,3770,0,0,6042,2388472
27;C;0,3;18685631/50000000;4,3737,0,0,6008,2547872;4,3737,0,0,6061,1268558
28;C;1,3;18685631/50000000;4,3737,0,0,6042,1728472;4,3737,0,0,6061,1268558
29;C;0,26;4555029/50000000;2,9,0,0,27,342;8,9110058,0,0,30182872,75663232
30;C;0,26;4555029/50000000;2,9,0,0,30,0;8,9110058,0,0,30182872,75663232
31;C;3,8;2331729/6250000;4,3730,0,0,6061,1128558;2,37,0,0,56,1128
31;C;8,9;150544/390625;2,38,0,0,56,1328;2,38,0,0,55,1550
31;C;9,10;35530263/100000000;2,35,0,0,55,950;2,35,0,0,54,1168
31;C;10,11;29413409/100000000;4,2941,0,0,5368,1189152;2,29,0,0,52,392
31;L;11,12;29413409/100000000,318839/1250000;2,29,0,0,52,392;8,25507120,0,0,50504574,10157048
31;L;12,13;318839/1250000,25164519/100000000;8,25507120,0,0,50504574,10157048;8,25164519,0,0,50164249,44531998
31;L;13,14;25164519/100000000,4687167/20000000;8,25164519,0,0,50164249,44531998;8,23435835,0,0,48410572,37265632
31;L;14,15;4687167/20000000,10884329/50000000;8,23435835,0,0,48410572,37265632;10,2176865800,0,0,4665689438,136270488312
31;L;15,16;10884329/50000000,2016299/10000000;10,2176865800,0,0,4665689438,136270488312;8,20162990,0,0,44903218,26488952
31;L;16,17;2016299/10000000,18618829/100000000;8,20162990,0,0,44903218,26488952;8,18618829,0,0,43149541,22978638
31;L;17,18;18618829/100000000,2225873/12500000;8,18618829,0,0,43149541,22978638;8,17806984,0,0,42198322,40768632
31;L;18,19;2225873/12500000,685447/4000000;8,17806984,0,0,42198322,40768632;10,1713617500,0,0,4139586318,231654405752
31;L;19,20;685447/4000000,1571503/10000000;10,1713617500,0,0,4139586318,231654405752;8,15715030,0,0,39642187,19714062
31;L;20,21;1571503/10000000,224303/1562500;8,15715030,0,0,39642187,19714062;8,14355392,0,0,37888510,19959800
31;L;21,22;224303/1562500,13057261/100000000;8,14355392,0,0,37888510,19959800;8,13057261,0,0,36134832,32663552
31;L;22,23;13057261/100000000,11820639/100000000;8,13057261,0,0,36134832,32663552;8,11820639,0,0,34381155,161731950
31;L;23,24;11820639/100000000,2661381/25000000;8,11820639,0,0,34381155,161731950;8,10645524,0,0,32627478,158719032
31;L;24,25;2661381/25000000,2382979/25000000;8,10645524,0,0,32627478,158719032;8,9531916,0,0,30873801,23624798
31;L;25,26;2382979/25000000,4555029/50000000;8,9531916,0,0,30873801,23624798;8,9110058,0,0,30182872,75663232
32;C;0,1;37709043/100000000;2,37,4,61,1,3661;2,37,4,61,1,3661
33;C;0,6;2331729/6250000;2,37,0,61,1,3677;2,37,0,62,1,3554
34;C;0,1;37709043/100000000;2,37,61,4,1,3661;2,37,61,4,1,3661
35;C;0,6;2331729/6250000;2,37,0,61,0,3679;2,37,0,62,1,3554
36;C;1,6;2331729/6250000;2,37,61,4,1,3661;2,37,62,0,1,3554
37;C;0,26;4555029/50000000;2,9,0,0,0,1800;2,9,0,0,0,1800
38;C;0,26;4555029/50000000;2,9,0,0,0,1800;2,9,0,0,0,1800
39;C;6,16;2016299/10000000;2,20,0,62,1,154;2,20,0,24,1,3422
39;C;16,26;4555029/50000000;2,9,0,24,1,1222;2,9,0,0,0,1800
40;C;0,1;37709043/100000000;2,37,0,61,17,3101;2,37,0,61,17,3101
41;C;0,6;2331729/6250000;2,37,0,61,10,3479;2,37,0,62,10,3356
42;C;0,1;37709043/100000000;2,37,0,61,17,3101;2,37,0,61,17,3101
43;C;0,6;2331729/6250000;2,37,0,61,9,3517;2,37,0,62,10,3356
44;C;1,6;2331729/6250000;2,37,61,0,17,3101;2,37,62,0,10,3356
45;C;0,26;4555029/50000000;2,9,0,0,14,1408;2,9,0,0,16,1288
46;C;0,26;4555029/50000000;2,9,0,0,6,1728;2,9,0,0,16,1288
47;C;6,16;2016299/10000000;4,2016,0,6168,997,287758;2,20,0,24,13,3086
47;C;16,26;4555029/50000000;2,9,0,24,13,886;2,9,0,0,16,1288
48;C;0,1;37709043/100000000;2,37,0,0,39,4358;2,37,0,0,40,4200
49;C;0,18;2225873/12500000;2,17,0,0,21,2518;2,17,0,0,23,2342
50;C;0,1;37709043/100000000;2,37,0,0,40,4200;2,37,0,0,40,4200
51;C;0,18;2225873/12500000;2,17,0,0,23,2342;2,17,0,0,23,2342
52;C;1,18;2225873/12500000;2,17,0,0,40,200;2,17,0,0,23,2342
53;C;0,1;37709043/100000000;2,37,0,32,1,6374;2,37,0,32,1,6374
54;C;0,18;2225873/12500000;2,17,0,0,0,3400;2,17,0,0,0,3400
55;C;0,1;37709043/100000000;2,37,0,32,0,6376;2,37,0,32,1,6374
56;C;0,18;2225873/12500000;2,17,0,0,0,3400;2,17,0,0,0,3400
57;C;1,18;2225873/12500000;2,17,0,32,1,2374;2,17,0,0,0,3400
58;C;0,1;37709043/100000000;2,37,0,32,9,6214;2,37,0,32,9,6214
59;C;0,18;2225873/12500000;2,17,0,0,11,3158;2,17,0,0,12,3112
60;C;0,1;37709043/100000000;2,37,0,32,9,6214;2,37,0,32,9,6214
61;C;0,18;2225873/12500000;2,17,0,0,6,3328;2,17,0,0,12,3112
62;C;1,18;2225873/12500000;2,17,0,32,9,2214;2,17,0,0,12,3112
MASS SLACK NUMERATOR 9829702176318794840110093010960555160296675776563220740669626970422688115399512362510863501

BIN 43: PQP; (67/51,269/204]; gamma0=6013/10000; mass ceiling=24773093/25000000.
GAMMA 0=6013/10000;1=241918425000/401206565377;2=239220450000/395810615377;3=6063/10000;4=6113/10000;5=220634400000/358638515377;6=6163/10000;7=4983759375/8073165461;8=18436162500/29695111469;9=6213/10000;10=6263/10000;11=6313/10000;12=119610225000/189246454777;13=6363/10000;14=6413/10000;15=6463/10000;16=6513/10000;17=6563/10000;18=98026425000/149302637051;19=6613/10000;20=6663/10000;21=6713/10000;22=6763/10000;23=6813/10000;24=6863/10000;25=150187275000/217744265377;26=6913/10000;27=6963/10000;28=7013/10000;29=7063/10000;30=7113/10000;31=7163/10000;32=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37601652,37804756;1,2,37804756,37224715;2,3,37224715,36870262;3,4,36870262,37368769;4,5,37368769,37847099;5,6,37847099,37982569;6,7,37982569,38108901;7,8,38108901,38545274;8,9,38545274,37894576;9,10,37894576,31060354;10,11,31060354,25618495;11,12,25618495,25348003;12,13,25348003,23804728;13,14,23804728,22057547;14,15,22057547,20376951;15,16,20376951,18762940;16,17,18762940,17215514;17,18,17215514,17136291;18,19,17136291,15734674;19,20,15734674,14320419;20,21,14320419,12972749;21,22,12972749,11691665;22,23,11691665,10477165;23,24,10477165,9329251;24,25,9329251,8577811;25,26,0,0;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;348216537727/91731150000,1/3,401206565377/183462300000;-257273439658843
1;0,6,7;2,2,8;-4
3;0,3,7;71/102,2,1;-1
4;2,3,7;65/34,2,133/204;-71
8;1,3,6;37/102,3,269/204;-37
9;1,4,10;107870734301/22932787500,7/3,401206565377/183462300000;-38865939658843
10;0,10;1/3,1;-1
12;0,10;1/3,1;-1
13;2,3,10;116/51,1/3,133/204;-1
18;1,4,13;348216537727/91731150000,1/3,401206565377/183462300000;-257273439658843
19;0,3,13;71/102,2,1;-1
21;0,7,13;2,2,6;-4
22;2,3,13;65/34,2,133/204;-71
26;1,3,12;37/102,3,269/204;-37
27;0,1,7;2/3,2,1;-1
28;0,6,7;4,2,8;-4
30;0,3,7;71/102,2,1;-1
31;2,3,7;99/34,2,167/204;-37
35;1,3,6;37/102,3,269/204;-37
36;1,4,10;278898365377/45865575000,4/3,401206565377/183462300000;-169910439658843
37;0,10;1/3,1;-1
39;0,10;1/3,1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;71/102,2,1;-1
48;0,7,13;4,2,6;-4
49;2,3,13;99/34,2,167/204;-37
53;1,3,12;37/102,3,269/204;-37
54;0,1,7;5/3,2,1;-1
55;0,6,7;6,2,8;-4
56;1,4,7;57551103313/11466393750,5/3,401206565377/183462300000;-18032705665549
57;0,3,7;71/102,2,1;-1
58;2,3,7;133/34,5/2,109/102;-37
60;1,4,7;150403408927/30577050000,11/3,401206565377/183462300000;-3472205665549
62;1,3,6;37/102,3,269/204;-37
63;1,4,6;332805704527/45865575000,2/3,401206565377/183462300000;-169910439658843
64;0,10;1/3,1;-1
65;1,4,6;332805704527/45865575000,2/3,401206565377/183462300000;-169910439658843
66;0,10;1/3,1;-1
69;1,4,10;150403408927/30577050000,11/3,401206565377/183462300000;-3472205665549
72;0,1,13;5/3,2,1;-1
73;0,3,13;71/102,2,1;-1
74;1,4,6;332805704527/45865575000,2/3,401206565377/183462300000;-169910439658843
75;0,7,13;6,2,6;-4
76;2,3,13;133/34,5/2,109/102;-37
78;1,4,9;57551103313/11466393750,5/3,401206565377/183462300000;-18032705665549
80;1,3,12;37/102,3,269/204;-37
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;196107309596028,6231299787081861970275000,42292986654579,5355
5;8,4,2,3;42292986654579,1445600579397838924725000,1695045250697628,1581
6;1,4,12,3;196107309596028,16248685358894361970275000,226203913657224,14025
7;11,4,2,3;226203913657224,45865575000,1695045250697628,51
11;1,4,6,3;196107309596028,16248685358894361970275000,226203913657224,14025
14;5,4,2,3;226203913657224,45865575000,1695045250697628,51
15;1,4,12,3;196107309596028,16248685358894361970275000,226203913657224,14025
16;11,4,2,3;226203913657224,45865575000,1695045250697628,51
17;8,4,2,3;42292986654579,1445600579397838924725000,1695045250697628,1581
20;1,4,6,3;196107309596028,16248685358894361970275000,226203913657224,14025
23;5,4,2,3;226203913657224,45865575000,1695045250697628,51
24;1,4,9,3;196107309596028,6231299787081861970275000,42292986654579,5355
25;8,4,2,3;42292986654579,1445600579397838924725000,1695045250697628,1581
29;1,4,7,3;196107309596028,441736887988723940550000,88851250949007,306
32;8,4,2,3;88851250949007,9143699017967221059450000,5612228912396028,10098
33;1,4,12,3;196107309596028,4227822672719361970275000,1089591839547021,3621
34;11,4,2,3;1089591839547021,12585757966433610529725000,5612228912396028,11985
38;1,4,6,3;196107309596028,4227822672719361970275000,1089591839547021,3621
41;5,4,2,3;1089591839547021,12585757966433610529725000,5612228912396028,11985
42;1,4,12,3;196107309596028,4227822672719361970275000,1089591839547021,3621
43;11,4,2,3;1089591839547021,12585757966433610529725000,5612228912396028,11985
44;8,4,2,3;88851250949007,9143699017967221059450000,5612228912396028,10098
47;1,4,6,3;196107309596028,4227822672719361970275000,1089591839547021,3621
50;5,4,2,3;1089591839547021,12585757966433610529725000,5612228912396028,11985
51;1,4,9,3;196107309596028,441736887988723940550000,88851250949007,306
52;8,4,2,3;88851250949007,9143699017967221059450000,5612228912396028,10098
59;1,4,2,3;196107309596028,6010431343087500000000000,1202252046865482,5202
61;1,4,2,3;196107309596028,6010431343087500000000000,1202252046865482,5202
68;1,4,2,3;196107309596028,6010431343087500000000000,1202252046865482,5202
70;1,4,2,3;196107309596028,6010431343087500000000000,1202252046865482,5202
71;1,4,2,3;196107309596028,6010431343087500000000000,1202252046865482,5202
77;1,4,2,3;196107309596028,6010431343087500000000000,1202252046865482,5202
79;1,4,2,3;196107309596028,6010431343087500000000000,1202252046865482,5202
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,1
9;6;V;12,3
10;6;E;4,1
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/8;E/4,1/2/0/1;E/4,7/3/0/8;E/4,3/4/1/8
5:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
6:V/3,1/8/0/1;V/12,3/9/0/7;E/4,1/10/0/1;E/4,12/11/0/7;E/4,3/12/1/7
7:V/3,11/9/0/7;V/2,3/13/0/12;E/4,11/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
11:V/3,1/16/0/1;V/6,3/17/0/7;E/4,1/18/0/1;E/4,6/19/0/7;E/4,3/20/1/7
14:V/3,5/17/0/7;V/2,3/21/0/12;E/4,5/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
15:V/3,1/16/0/1;V/12,3/17/0/7;E/4,1/18/0/1;E/4,12/19/0/7;E/4,3/20/1/7
16:V/3,11/17/0/7;V/2,3/21/0/12;E/4,11/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
17:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
20:V/3,1/8/0/1;V/6,3/9/0/7;E/4,1/10/0/1;E/4,6/11/0/7;E/4,3/12/1/7
23:V/3,5/9/0/7;V/2,3/13/0/12;E/4,5/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
24:V/3,1/0/0/1;V/9,3/1/0/8;E/4,1/2/0/1;E/4,9/3/0/8;E/4,3/4/1/8
25:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
29:V/3,1/24/0/1;V/7,3/25/0/2;E/4,1/26/0/1;E/4,7/27/0/2;E/4,3/28/1/2
32:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
33:V/3,1/32/0/1;V/12,3/33/0/5;E/4,1/34/0/1;E/4,12/35/0/5;E/4,3/36/1/5
34:V/3,11/33/0/5;V/2,3/37/0/25;E/4,11/35/0/5;E/4,2/38/0/25;E/4,3/39/5/25
38:V/3,1/40/0/1;V/6,3/41/0/5;E/4,1/42/0/1;E/4,6/43/0/5;E/4,3/44/1/5
40:V/2,3/37/0/25;E/4,2/38/0/25
41:V/3,5/41/0/5;V/2,3/45/0/25;E/4,5/43/0/5;E/4,2/46/0/25;E/4,3/47/5/25
42:V/3,1/40/0/1;V/12,3/41/0/5;E/4,1/42/0/1;E/4,12/43/0/5;E/4,3/44/1/5
43:V/3,11/41/0/5;V/2,3/45/0/25;E/4,11/43/0/5;E/4,2/46/0/25;E/4,3/47/5/25
44:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
47:V/3,1/32/0/1;V/6,3/33/0/5;E/4,1/34/0/1;E/4,6/35/0/5;E/4,3/36/1/5
50:V/3,5/33/0/5;V/2,3/37/0/25;E/4,5/35/0/5;E/4,2/38/0/25;E/4,3/39/5/25
51:V/3,1/24/0/1;V/9,3/25/0/2;E/4,1/26/0/1;E/4,9/27/0/2;E/4,3/28/1/2
52:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
59:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
61:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
67:V/2,3/54/0/18;E/4,2/56/0/18
68:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
70:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
71:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
77:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
79:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;9400413/25000000,9451189/25000000;4,3760,0,1697,6013,7853;10,3780475600,0,1700941684,6029772339,467292182302
1;C;0,2;7444943/20000000;4,3722,0,0,6013,2127662;4,3722,0,0,6044,1380128
1;C;2,3;18435131/50000000;4,3687,0,0,6044,680128;4,3687,0,0,6063,220062
1;L;3,4;18435131/50000000,37368769/100000000;4,3687,0,0,6063,220062;8,37368769,0,0,61130000,0
1;L;4,5;37368769/100000000,37847099/100000000;8,37368769,0,0,61130000,0;10,3784709900,0,0,6151999592,40063667072
1;L;5,6;37847099/100000000,37982569/100000000;10,3784709900,0,0,6151999592,40063667072;8,37982569,0,0,61630000,0
1;L;6,7;37982569/100000000,38108901/100000000;8,37982569,0,0,61630000,0;10,3810890100,0,0,6173240719,50560726078
1;L;7,8;38108901/100000000,19272637/50000000;10,3810890100,0,0,6173240719,50560726078;10,3854527400,0,0,6208484020,346809279200
2;L;0,1;9400413/25000000,9451189/25000000;8,37601652,0,17002840,60130000,31934400;10,3780475600,0,1700941684,6029772339,467292182302
3;C;0,2;7444943/20000000;4,3722,0,0,6013,2127662;4,3722,0,0,6044,1380128
3;C;2,3;18435131/50000000;4,3687,0,0,6044,680128;4,3687,0,0,6063,220062
3;L;3,4;18435131/50000000,37368769/100000000;4,3687,0,0,6063,220062;8,37368769,0,0,61130000,0
3;L;4,5;37368769/100000000,37847099/100000000;8,37368769,0,0,61130000,0;10,3784709900,0,0,6151999592,40063667072
3;L;5,6;37847099/100000000,37982569/100000000;10,3784709900,0,0,6151999592,40063667072;8,37982569,0,0,61630000,0
3;L;6,7;37982569/100000000,38108901/100000000;8,37982569,0,0,61630000,0;10,3810890100,0,0,6173240719,50560726078
3;L;7,8;38108901/100000000,19272637/50000000;10,3810890100,0,0,6173240719,50560726078;10,3854527400,0,0,6208484020,346809279200
4;L;1,2;9451189/25000000,7444943/20000000;10,3780475600,0,1700941684,6029772339,467292182302;10,3722471500,0,1180732905,6043810871,118214703693
4;L;2,3;7444943/20000000,18435131/50000000;10,3722471500,0,1180732905,6043810871,118214703693;8,36870262,0,4696648,60630000,97564096
4;L;3,4;18435131/50000000,37368769/100000000;8,36870262,0,4696648,60630000,97564096;8,37368769,0,0,61130000,0
4;L;4,5;37368769/100000000,37847099/100000000;8,37368769,0,0,61130000,0;10,3784709900,0,0,6151999592,40063667072
4;L;5,6;37847099/100000000,37982569/100000000;10,3784709900,0,0,6151999592,40063667072;8,37982569,0,0,61630000,0
4;L;6,7;37982569/100000000,38108901/100000000;8,37982569,0,0,61630000,0;10,3810890100,0,0,6173240719,50560726078
4;L;7,8;38108901/100000000,19272637/50000000;10,3810890100,0,0,6173240719,50560726078;10,3854527400,0,0,6208484020,346809279200
5;C;0,12;25348003/100000000;2,25,0,0,47,582;2,25,0,0,50,0
6;C;0,12;25348003/100000000;2,25,0,0,49,198;2,25,0,0,50,0
7;L;8,9;19272637/50000000,2368411/6250000;10,3854527400,0,0,6208484020,346809279200;10,3789457600,0,0,6155857006,1043361431928
7;L;9,10;2368411/6250000,15530177/50000000;10,3789457600,0,0,6155857006,1043361431928;10,3106035400,0,0,5573181670,146352022200
7;L;10,11;15530177/50000000,5123699/20000000;10,3106035400,0,0,5573181670,146352022200;2,25,0,0,50,0
7;C;11,12;25348003/100000000;2,25,0,0,50,0;2,25,0,0,50,0
8;C;0,1;9400413/25000000;2,37,47,61,2,1462;2,37,47,61,2,1462
9;C;0,7;18435131/50000000;2,36,0,61,1,3477;2,36,0,62,1,3354
10;C;0,1;9400413/25000000;2,37,61,48,1,1373;2,37,61,47,2,1462
11;C;0,7;18435131/50000000;2,36,0,61,0,3479;2,36,0,62,1,3354
12;C;1,7;18435131/50000000;2,36,61,47,2,1262;2,36,62,0,1,3354
13;C;0,12;25348003/100000000;2,25,0,3,0,4991;2,25,0,3,0,4991
14;C;0,12;25348003/100000000;2,25,0,3,0,4991;2,25,0,3,0,4991
15;C;7,12;25348003/100000000;2,25,0,62,1,1154;2,25,0,3,0,4991
16;C;0,1;9400413/25000000;2,37,0,61,39,637;2,37,0,61,39,637
17;C;0,7;18435131/50000000;2,36,0,61,13,3141;2,36,0,62,13,3018
18;C;0,1;9400413/25000000;2,37,0,61,39,637;2,37,0,61,39,637
19;C;0,7;18435131/50000000;2,36,0,61,12,3191;2,36,0,62,13,3018
20;C;1,7;18435131/50000000;2,36,61,0,39,437;2,36,62,0,13,3018
21;C;0,12;25348003/100000000;2,25,0,3,16,4479;2,25,0,3,17,4413
22;C;0,12;25348003/100000000;2,25,0,3,14,4599;2,25,0,3,17,4413
23;C;7,12;25348003/100000000;2,25,0,62,13,818;2,25,0,3,17,4413
24;C;0,1;9400413/25000000;4,3760,0,0,6013,2887662;4,3760,0,0,6030,2478200
25;C;0,2;7444943/20000000;4,3722,0,0,6013,2127662;4,3722,0,0,6044,1380128
26;C;0,1;9400413/25000000;4,3760,0,0,6013,2887662;4,3760,0,0,6030,2478200
27;C;0,2;7444943/20000000;4,3722,0,0,6013,2127662;4,3722,0,0,6044,1380128
28;C;1,2;7444943/20000000;4,3722,0,0,6030,1718200;4,3722,0,0,6044,1380128
29;C;0,25;8577811/100000000;2,8,0,0,26,248;10,857781100,0,0,2928790005,213224199950
30;C;0,25;8577811/100000000;4,857,0,0,2903,285182;10,857781100,0,0,2928790005,213224199950
31;C;2,7;18435131/50000000;4,3687,0,0,6044,680128;2,36,0,0,56,928
31;C;7,10;15530177/50000000;4,3106,0,0,5572,25632;2,31,0,0,53,582
31;L;10,11;15530177/50000000,5123699/20000000;2,31,0,0,53,582;8,25618495,0,0,50614716,48478688
31;L;11,12;5123699/20000000,25348003/100000000;8,25618495,0,0,50614716,48478688;10,2534800300,0,0,5034680007,454228959902
31;L;12,13;25348003/100000000,2975591/12500000;10,2534800300,0,0,5034680007,454228959902;8,23804728,0,0,48790089,30744158
31;L;13,14;2975591/12500000,22057547/100000000;8,23804728,0,0,48790089,30744158;10,2205754700,0,0,4696546209,1413455456638
31;L;14,15;22057547/100000000,20376951/100000000;10,2205754700,0,0,4696546209,1413455456638;8,20376951,0,0,45140836,50442208
31;L;15,16;20376951/100000000,938147/5000000;8,20376951,0,0,45140836,50442208;8,18762940,0,0,43316209,75736638
31;L;16,17;938147/5000000,8607757/50000000;8,18762940,0,0,43316209,75736638;10,1721551400,0,0,4149158208,329972457472
31;L;17,18;8607757/50000000,17136291/100000000;10,1721551400,0,0,4149158208,329972457472;10,1713629100,0,0,4139600339,66702170158
31;L;18,19;17136291/100000000,7867337/50000000;10,1713629100,0,0,4139600339,66702170158;8,15734674,0,0,39666956,3388128
31;L;19,20;7867337/50000000,14320419/100000000;8,15734674,0,0,39666956,3388128;8,14320419,0,0,37842329,71711518
31;L;20,21;14320419/100000000,12972749/100000000;8,14320419,0,0,37842329,71711518;10,1297274900,0,0,3601770207,751934354302
31;L;21,22;12972749/100000000,2338333/20000000;10,1297274900,0,0,3601770207,751934354302;8,11691665,0,0,34193076,107316448
31;L;22,23;2338333/20000000,2095433/20000000;8,11691665,0,0,34193076,107316448;8,10477165,0,0,32368449,18668798
31;L;23,24;2095433/20000000,9329251/100000000;8,10477165,0,0,32368449,18668798;10,932925100,0,0,3054382206,679341147128
31;L;24,25;9329251/100000000,8577811/100000000;10,932925100,0,0,3054382206,679341147128;10,857781100,0,0,2928790005,213224199950
32;C;0,1;9400413/25000000;2,37,3,61,1,3668;2,37,3,61,1,3668
33;C;0,5;18435131/50000000;2,36,0,61,1,3477;2,36,0,62,1,3354
34;C;0,1;9400413/25000000;2,37,61,3,1,3668;2,37,61,3,1,3668
35;C;0,5;18435131/50000000;2,36,0,61,0,3479;2,36,0,62,1,3354
36;C;1,5;18435131/50000000;2,36,61,3,1,3468;2,36,62,0,1,3354
37;C;0,25;8577811/100000000;2,8,0,0,0,1600;2,8,0,0,0,1600
38;C;0,25;8577811/100000000;2,8,0,0,0,1600;2,8,0,0,0,1600
39;C;5,15;20376951/100000000;2,20,0,62,1,154;2,20,0,26,1,3322
39;C;15,25;8577811/100000000;2,8,0,26,1,922;2,8,0,0,0,1600
40;C;0,1;9400413/25000000;2,37,0,61,17,3101;2,37,0,61,17,3101
41;C;0,5;18435131/50000000;2,36,0,61,10,3279;2,36,0,62,10,3156
42;C;0,1;9400413/25000000;2,37,0,61,17,3101;2,37,0,61,17,3101
43;C;0,5;18435131/50000000;2,36,0,61,8,3351;2,36,0,62,10,3156
44;C;1,5;18435131/50000000;2,36,61,0,17,2901;2,36,62,0,10,3156
45;C;0,25;8577811/100000000;2,8,0,0,13,1262;2,8,0,0,15,1150
46;C;0,25;8577811/100000000;2,8,0,0,6,1528;2,8,0,0,15,1150
47;C;5,15;20376951/100000000;4,2037,0,6152,936,1140704;2,20,0,26,12,3036
47;C;15,25;8577811/100000000;2,8,0,26,12,636;2,8,0,0,15,1150
48;C;0,1;9400413/25000000;2,37,0,0,39,4358;2,37,0,0,39,4358
49;C;0,18;17136291/100000000;2,17,0,0,20,2600;2,17,0,0,22,2432
50;C;0,1;9400413/25000000;2,37,0,0,39,4358;2,37,0,0,39,4358
51;C;0,18;17136291/100000000;2,17,0,0,22,2432;2,17,0,0,22,2432
52;C;1,18;17136291/100000000;2,17,0,0,39,358;2,17,0,0,22,2432
53;C;0,1;9400413/25000000;2,37,0,32,1,6374;2,37,0,32,1,6374
54;C;0,18;17136291/100000000;2,17,0,0,0,3400;2,17,0,0,0,3400
55;C;0,1;9400413/25000000;2,37,0,32,0,6376;2,37,0,32,1,6374
56;C;0,18;17136291/100000000;2,17,0,0,0,3400;2,17,0,0,0,3400
57;C;1,18;17136291/100000000;2,17,0,32,1,2374;2,17,0,0,0,3400
58;C;0,1;9400413/25000000;2,37,0,32,9,6214;2,37,0,32,9,6214
59;C;0,18;17136291/100000000;2,17,0,0,10,3200;2,17,0,0,11,3158
60;C;0,1;9400413/25000000;2,37,0,32,9,6214;2,37,0,32,9,6214
61;C;0,18;17136291/100000000;2,17,0,0,6,3328;2,17,0,0,11,3158
62;C;1,18;17136291/100000000;2,17,0,32,9,2214;2,17,0,0,11,3158
MASS SLACK NUMERATOR 3252610718131890010551517761968348297227465247587736300740247991554064444183310668506575379

BIN 44: PQP; (269/204,45/34]; gamma0=6019/10000; mass ceiling=9925559/10000000.
GAMMA 0=6019/10000;1=34688250000/57475937911;2=34431300000/56962037911;3=6069/10000;4=6119/10000;5=31690500000/51480437911;6=6169/10000;7=22954200000/37140829261;8=21326850000/34320631711;9=6219/10000;10=6269/10000;11=6319/10000;12=17215650000/27195922111;13=6369/10000;14=6419/10000;15=6469/10000;16=6519/10000;17=6569/10000;18=14068012500/21409305293;19=6619/10000;20=6669/10000;21=6719/10000;22=6769/10000;23=6819/10000;24=6869/10000;25=21583800000/31267037911;26=6919/10000;27=6969/10000;28=7019/10000;29=7069/10000;30=7119/10000;31=7169/10000;32=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37593436,37790286;1,2,37790286,37395531;2,3,37395531,36918994;3,4,36918994,37442161;4,5,37442161,37894286;5,6,37894286,38056561;6,7,38056561,38196286;7,8,38196286,38613831;8,9,38613831,37895311;9,10,37895311,31077678;10,11,31077678,25346983;11,12,25346983,24932388;12,13,24932388,23527670;13,14,23527670,21776103;14,15,21776103,20092281;15,16,20092281,18476206;16,17,18476206,16927875;17,18,16927875,16867945;18,19,16867945,15447291;19,20,15447291,14034452;20,21,14034452,12689359;21,22,12689359,11412012;22,23,11412012,10202410;23,24,10202410,9060554;24,25,9060554,8321676;25,26,0,0;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;49905933961/13104450000,1/3,57475937911/26208900000;-258584670286309
1;0,6,7;2,2,8;-4
3;0,3,7;35/51,2,1;-1
4;2,3,7;33/17,2,67/102;-35
8;1,3,6;6/17,3,45/34;-6
9;1,4,10;15490462043/3276112500,7/3,57475937911/26208900000;-40177170286309
10;0,10;1/3,1;-1
12;0,10;1/3,1;-1
13;2,3,10;39/17,1/3,67/102;-1
18;1,4,13;49905933961/13104450000,1/3,57475937911/26208900000;-258584670286309
19;0,3,13;35/51,2,1;-1
21;0,7,13;2,2,6;-4
22;2,3,13;33/17,2,67/102;-35
26;1,3,12;6/17,3,45/34;-6
27;0,1,7;2/3,2,1;-1
28;0,6,7;4,2,8;-4
30;0,3,7;35/51,2,1;-1
31;2,3,7;50/17,2,14/17;-6
35;1,3,6;6/17,3,45/34;-6
36;1,4,10;40003337911/6552225000,4/3,57475937911/26208900000;-171221670286309
37;0,10;1/3,1;-1
39;0,10;1/3,1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;35/51,2,1;-1
48;0,7,13;4,2,6;-4
49;2,3,13;50/17,2,14/17;-6
53;1,3,12;6/17,3,45/34;-6
54;0,1,7;5/3,2,1;-1
55;0,6,7;6,2,8;-4
56;1,4,7;8261764759/1638056250,5/3,57475937911/26208900000;-127540170286309
57;0,3,7;35/51,2,1;-1
58;2,3,7;67/17,5/2,73/68;-6
60;1,4,7;21646915561/4368150000,11/3,57475937911/26208900000;-25616670286309
62;1,3,6;6/17,3,45/34;-6
63;1,4,6;47704386361/6552225000,2/3,57475937911/26208900000;-171221670286309
64;0,10;1/3,1;-1
65;1,4,6;47704386361/6552225000,2/3,57475937911/26208900000;-171221670286309
66;0,10;1/3,1;-1
69;1,4,10;21646915561/4368150000,11/3,57475937911/26208900000;-25616670286309
72;0,1,13;5/3,2,1;-1
73;0,3,13;35/51,2,1;-1
74;1,4,6;47704386361/6552225000,2/3,57475937911/26208900000;-171221670286309
75;0,7,13;6,2,6;-4
76;2,3,13;67/17,5/2,73/68;-6
78;1,4,9;8261764759/1638056250,5/3,57475937911/26208900000;-127540170286309
80;1,3,12;6/17,3,45/34;-6
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;31784210265494,881594205770789012475000,341323504306041,1768
5;8,4,2,3;341323504306041,213915437724303042525000,863352971016882,1632
6;1,4,12,3;31784210265494,2312649287458289012475000,916676347740273,2329
7;11,4,2,3;916676347740273,6552225000,863352971016882,51
11;1,4,6,3;31784210265494,2312649287458289012475000,916676347740273,2329
14;5,4,2,3;916676347740273,6552225000,863352971016882,51
15;1,4,12,3;31784210265494,2312649287458289012475000,916676347740273,2329
16;11,4,2,3;916676347740273,6552225000,863352971016882,51
17;8,4,2,3;341323504306041,213915437724303042525000,863352971016882,1632
20;1,4,6,3;31784210265494,2312649287458289012475000,916676347740273,2329
23;5,4,2,3;916676347740273,6552225000,863352971016882,51
24;1,4,9,3;31784210265494,881594205770789012475000,341323504306041,1768
25;8,4,2,3;341323504306041,213915437724303042525000,863352971016882,1632
29;1,4,7,3;31784210265494,45922313516578024950000,74383184498241,17
32;8,4,2,3;74383184498241,1321364953730926975050000,469908879832747,425
33;1,4,12,3;31784210265494,595383189433289012475000,1077769364694723,119
34;11,4,2,3;1077769364694723,1805526542215463487525000,469908879832747,1003
38;1,4,6,3;31784210265494,595383189433289012475000,1077769364694723,119
41;5,4,2,3;1077769364694723,1805526542215463487525000,469908879832747,1003
42;1,4,12,3;31784210265494,595383189433289012475000,1077769364694723,119
43;11,4,2,3;1077769364694723,1805526542215463487525000,469908879832747,1003
44;8,4,2,3;74383184498241,1321364953730926975050000,469908879832747,425
47;1,4,6,3;31784210265494,595383189433289012475000,1077769364694723,119
50;5,4,2,3;1077769364694723,1805526542215463487525000,469908879832747,1003
51;1,4,9,3;31784210265494,45922313516578024950000,74383184498241,17
52;8,4,2,3;74383184498241,1321364953730926975050000,469908879832747,425
59;1,4,2,3;31784210265494,858633049012500000000000,803591118017444,578
61;1,4,2,3;31784210265494,858633049012500000000000,803591118017444,578
68;1,4,2,3;31784210265494,858633049012500000000000,803591118017444,578
70;1,4,2,3;31784210265494,858633049012500000000000,803591118017444,578
71;1,4,2,3;31784210265494,858633049012500000000000,803591118017444,578
77;1,4,2,3;31784210265494,858633049012500000000000,803591118017444,578
79;1,4,2,3;31784210265494,858633049012500000000000,803591118017444,578
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,1
9;6;V;12,3
10;6;E;4,1
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/8;E/4,1/2/0/1;E/4,7/3/0/8;E/4,3/4/1/8
5:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
6:V/3,1/8/0/1;V/12,3/9/0/7;E/4,1/10/0/1;E/4,12/11/0/7;E/4,3/12/1/7
7:V/3,11/9/0/7;V/2,3/13/0/12;E/4,11/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
11:V/3,1/16/0/1;V/6,3/17/0/7;E/4,1/18/0/1;E/4,6/19/0/7;E/4,3/20/1/7
14:V/3,5/17/0/7;V/2,3/21/0/12;E/4,5/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
15:V/3,1/16/0/1;V/12,3/17/0/7;E/4,1/18/0/1;E/4,12/19/0/7;E/4,3/20/1/7
16:V/3,11/17/0/7;V/2,3/21/0/12;E/4,11/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
17:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
20:V/3,1/8/0/1;V/6,3/9/0/7;E/4,1/10/0/1;E/4,6/11/0/7;E/4,3/12/1/7
23:V/3,5/9/0/7;V/2,3/13/0/12;E/4,5/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
24:V/3,1/0/0/1;V/9,3/1/0/8;E/4,1/2/0/1;E/4,9/3/0/8;E/4,3/4/1/8
25:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
29:V/3,1/24/0/1;V/7,3/25/0/2;E/4,1/26/0/1;E/4,7/27/0/2;E/4,3/28/1/2
32:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
33:V/3,1/32/0/1;V/12,3/33/0/5;E/4,1/34/0/1;E/4,12/35/0/5;E/4,3/36/1/5
34:V/3,11/33/0/5;V/2,3/37/0/25;E/4,11/35/0/5;E/4,2/38/0/25;E/4,3/39/5/25
38:V/3,1/40/0/1;V/6,3/41/0/5;E/4,1/42/0/1;E/4,6/43/0/5;E/4,3/44/1/5
40:V/2,3/37/0/25;E/4,2/38/0/25
41:V/3,5/41/0/5;V/2,3/45/0/25;E/4,5/43/0/5;E/4,2/46/0/25;E/4,3/47/5/25
42:V/3,1/40/0/1;V/12,3/41/0/5;E/4,1/42/0/1;E/4,12/43/0/5;E/4,3/44/1/5
43:V/3,11/41/0/5;V/2,3/45/0/25;E/4,11/43/0/5;E/4,2/46/0/25;E/4,3/47/5/25
44:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
47:V/3,1/32/0/1;V/6,3/33/0/5;E/4,1/34/0/1;E/4,6/35/0/5;E/4,3/36/1/5
50:V/3,5/33/0/5;V/2,3/37/0/25;E/4,5/35/0/5;E/4,2/38/0/25;E/4,3/39/5/25
51:V/3,1/24/0/1;V/9,3/25/0/2;E/4,1/26/0/1;E/4,9/27/0/2;E/4,3/28/1/2
52:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
59:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
61:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
67:V/2,3/54/0/18;E/4,2/56/0/18
68:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
70:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
71:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
77:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
79:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;9398359/25000000,18895143/50000000;4,3759,0,1649,6019,4077;10,3779028600,0,1652794716,6035264715,1266514416894
1;C;0,2;37395531/100000000;4,3739,0,0,6019,2323278;4,3739,0,0,6045,1695950
1;C;2,3;18459497/50000000;4,3691,0,0,6045,735950;4,3691,0,0,6069,154478
1;L;3,4;18459497/50000000,37442161/100000000;4,3691,0,0,6069,154478;8,37442161,0,0,61190000,0
1;L;4,5;37442161/100000000,18947143/50000000;8,37442161,0,0,61190000,0;10,3789428600,0,0,6155833417,1884292208222
1;L;5,6;18947143/50000000,38056561/100000000;10,3789428600,0,0,6155833417,1884292208222;8,38056561,0,0,61690000,0
1;L;6,7;38056561/100000000,19098143/50000000;8,38056561,0,0,61690000,0;10,3819628600,0,0,6180314349,1095089412398
1;L;7,8;19098143/50000000,38613831/100000000;10,3819628600,0,0,6180314349,1095089412398;8,38613831,0,0,62140028,40318432
2;L;0,1;9398359/25000000,18895143/50000000;8,37593436,0,16523164,60190000,51429104;10,3779028600,0,1652794716,6035264715,1266514416894
3;C;0,2;37395531/100000000;4,3739,0,0,6019,2323278;4,3739,0,0,6045,1695950
3;C;2,3;18459497/50000000;4,3691,0,0,6045,735950;4,3691,0,0,6069,154478
3;L;3,4;18459497/50000000,37442161/100000000;4,3691,0,0,6069,154478;8,37442161,0,0,61190000,0
3;L;4,5;37442161/100000000,18947143/50000000;8,37442161,0,0,61190000,0;10,3789428600,0,0,6155833417,1884292208222
3;L;5,6;18947143/50000000,38056561/100000000;10,3789428600,0,0,6155833417,1884292208222;8,38056561,0,0,61690000,0
3;L;6,7;38056561/100000000,19098143/50000000;8,38056561,0,0,61690000,0;10,3819628600,0,0,6180314349,1095089412398
3;L;7,8;19098143/50000000,38613831/100000000;10,3819628600,0,0,6180314349,1095089412398;8,38613831,0,0,62140028,40318432
4;L;1,2;18895143/50000000,37395531/100000000;10,3779028600,0,1652794716,6035264715,1266514416894;8,37395531,0,13101791,60446047,76739901
4;L;2,3;37395531/100000000,18459497/50000000;8,37395531,0,13101791,60446047,76739901;8,36918994,0,4152892,60690000,88036336
4;L;3,4;18459497/50000000,37442161/100000000;8,36918994,0,4152892,60690000,88036336;8,37442161,0,0,61190000,0
4;L;4,5;37442161/100000000,18947143/50000000;8,37442161,0,0,61190000,0;10,3789428600,0,0,6155833417,1884292208222
4;L;5,6;18947143/50000000,38056561/100000000;10,3789428600,0,0,6155833417,1884292208222;8,38056561,0,0,61690000,0
4;L;6,7;38056561/100000000,19098143/50000000;8,38056561,0,0,61690000,0;10,3819628600,0,0,6180314349,1095089412398
4;L;7,8;19098143/50000000,38613831/100000000;10,3819628600,0,0,6180314349,1095089412398;8,38613831,0,0,62140028,40318432
5;C;0,12;6233097/25000000;2,24,0,0,47,382;4,2493,0,0,4863,2562462
6;C;0,12;6233097/25000000;4,2493,0,0,4854,2737368;4,2493,0,0,4863,2562462
7;L;8,9;38613831/100000000,37895311/100000000;8,38613831,0,0,62140028,40318432;8,37895311,0,0,61559167,116532222
7;L;9,10;37895311/100000000,15538839/50000000;8,37895311,0,0,61559167,116532222;10,3107767800,0,0,5574735650,865238155000
7;L;10,11;15538839/50000000,25346983/100000000;10,3107767800,0,0,5574735650,865238155000;2,25,0,0,50,0
7;L;11,12;25346983/100000000,6233097/25000000;2,25,0,0,50,0;4,2493,0,0,4863,2562462
8;C;0,1;9398359/25000000;2,37,47,61,1,1468;2,37,47,61,1,1468
9;C;0,7;18459497/50000000;2,36,0,61,1,3477;2,36,0,62,1,3354
10;C;0,1;9398359/25000000;2,37,61,47,1,1468;2,37,61,47,1,1468
11;C;0,7;18459497/50000000;2,36,0,61,0,3479;2,36,0,62,1,3354
12;C;1,7;18459497/50000000;2,36,61,47,1,1268;2,36,62,0,1,3354
13;C;0,12;6233097/25000000;2,24,0,2,1,4794;2,24,0,2,1,4794
14;C;0,12;6233097/25000000;2,24,0,2,0,4796;2,24,0,2,1,4794
15;C;7,12;6233097/25000000;2,24,0,62,1,954;2,24,0,2,1,4794
16;C;0,1;9398359/25000000;2,37,0,61,39,637;2,37,0,61,39,637
17;C;0,7;18459497/50000000;2,36,0,61,13,3141;2,36,0,62,13,3018
18;C;0,1;9398359/25000000;2,37,0,61,39,637;2,37,0,61,39,637
19;C;0,7;18459497/50000000;2,36,0,61,12,3191;2,36,0,62,13,3018
20;C;1,7;18459497/50000000;2,36,61,0,39,437;2,36,62,0,13,3018
21;C;0,12;6233097/25000000;2,24,0,2,16,4284;2,24,0,2,17,4218
22;C;0,12;6233097/25000000;2,24,0,2,14,4404;2,24,0,2,17,4218
23;C;7,12;6233097/25000000;2,24,0,62,13,618;2,24,0,2,17,4218
24;C;0,1;9398359/25000000;4,3759,0,0,6019,2723278;4,3759,0,0,6036,2313408
25;C;0,2;37395531/100000000;4,3739,0,0,6019,2323278;4,3739,0,0,6045,1695950
26;C;0,1;9398359/25000000;4,3759,0,0,6019,2723278;4,3759,0,0,6036,2313408
27;C;0,2;37395531/100000000;4,3739,0,0,6019,2323278;4,3739,0,0,6045,1695950
28;C;1,2;37395531/100000000;4,3739,0,0,6036,1913408;4,3739,0,0,6045,1695950
29;C;0,25;2080419/25000000;2,8,0,0,26,248;8,8321676,0,0,28847315,34581550
30;C;0,25;2080419/25000000;4,832,0,0,2866,212088;8,8321676,0,0,28847315,34581550
31;C;2,7;18459497/50000000;4,3691,0,0,6045,735950;2,36,0,0,56,928
31;C;7,10;15538839/50000000;4,3107,0,0,5546,623768;2,31,0,0,53,582
31;L;10,11;15538839/50000000,25346983/100000000;2,31,0,0,53,582;8,25346983,0,0,50345787,62701262
31;L;11,12;25346983/100000000,6233097/25000000;8,25346983,0,0,50345787,62701262;8,24932388,0,0,49932342,44790072
31;L;12,13;6233097/25000000,2352767/10000000;8,24932388,0,0,49932342,44790072;10,2352767000,0,0,4850532928,628775493632
31;L;13,14;2352767/10000000,21776103/100000000;10,2352767000,0,0,4850532928,628775493632;8,21776103,0,0,46664872,42447232
31;L;14,15;21776103/100000000,20092281/100000000;8,21776103,0,0,46664872,42447232;10,2009228100,0,0,4482441405,101483251950
31;L;15,16;20092281/100000000,9238103/50000000;10,2009228100,0,0,4482441405,101483251950;8,18476206,0,0,42983957,81244302
31;L;16,17;9238103/50000000,135423/800000;8,18476206,0,0,42983957,81244302;10,1692787500,0,0,4114349882,96973172152
31;L;17,18;135423/800000,3373589/20000000;10,1692787500,0,0,4114349882,96973172152;8,16867945,0,0,41070603,138432782
31;L;18,19;3373589/20000000,15447291/100000000;8,16867945,0,0,41070603,138432782;10,1544729100,0,0,3930304120,1048622051200
31;L;19,20;15447291/100000000,3508613/25000000;10,1544729100,0,0,3930304120,1048622051200;8,14034452,0,0,37462584,85888
31;L;20,21;3508613/25000000,12689359/100000000;8,14034452,0,0,37462584,85888;8,12689359,0,0,35622126,78480248
31;L;21,22;12689359/100000000,2853003/25000000;8,12689359,0,0,35622126,78480248;8,11412012,0,0,33781669,79148878
31;L;22,23;2853003/25000000,1020241/10000000;8,11412012,0,0,33781669,79148878;8,10202410,0,0,31941211,79706958
31;L;23,24;1020241/10000000,4530277/50000000;8,10202410,0,0,31941211,79706958;8,9060554,0,0,30100754,17262968
31;L;24,25;4530277/50000000,2080419/25000000;8,9060554,0,0,30100754,17262968;8,8321676,0,0,28847315,34581550
32;C;0,1;9398359/25000000;2,37,2,61,1,3673;2,37,2,61,1,3673
33;C;0,5;18459497/50000000;2,36,0,61,1,3477;2,36,0,62,1,3354
34;C;0,1;9398359/25000000;2,37,61,2,1,3673;2,37,61,2,1,3673
35;C;0,5;18459497/50000000;2,36,0,61,0,3479;2,36,0,62,1,3354
36;C;1,5;18459497/50000000;2,36,61,2,1,3473;2,36,62,0,1,3354
37;C;0,25;2080419/25000000;2,8,0,0,0,1600;2,8,0,0,0,1600
38;C;0,25;2080419/25000000;2,8,0,0,0,1600;2,8,0,0,0,1600
39;C;5,15;20092281/100000000;2,20,0,62,1,154;2,20,0,25,1,3373
39;C;15,25;2080419/25000000;2,8,0,25,1,973;2,8,0,0,0,1600
40;C;0,1;9398359/25000000;2,37,0,61,16,3167;2,37,0,61,16,3167
41;C;0,5;18459497/50000000;2,36,0,61,9,3317;2,36,0,62,10,3156
42;C;0,1;9398359/25000000;2,37,0,61,16,3167;2,37,0,61,16,3167
43;C;0,5;18459497/50000000;2,36,0,61,8,3351;2,36,0,62,10,3156
44;C;1,5;18459497/50000000;2,36,61,0,16,2967;2,36,62,0,10,3156
45;C;0,25;2080419/25000000;2,8,0,0,13,1262;2,8,0,0,15,1150
46;C;0,25;2080419/25000000;2,8,0,0,6,1528;2,8,0,0,15,1150
47;C;5,15;20092281/100000000;4,2009,0,6156,917,601886;2,20,0,25,12,3087
47;C;15,25;2080419/25000000;2,8,0,25,12,687;2,8,0,0,15,1150
48;C;0,1;9398359/25000000;2,37,0,0,39,4358;2,37,0,0,39,4358
49;C;0,18;3373589/20000000;2,16,0,0,20,2400;2,16,0,0,22,2232
50;C;0,1;9398359/25000000;2,37,0,0,39,4358;2,37,0,0,39,4358
51;C;0,18;3373589/20000000;2,16,0,0,22,2232;2,16,0,0,22,2232
52;C;1,18;3373589/20000000;2,16,0,0,39,158;2,16,0,0,22,2232
53;C;0,1;9398359/25000000;2,37,0,31,1,6437;2,37,0,31,1,6437
54;C;0,18;3373589/20000000;2,16,0,0,0,3200;2,16,0,0,0,3200
55;C;0,1;9398359/25000000;2,37,0,31,0,6439;2,37,0,31,1,6437
56;C;0,18;3373589/20000000;2,16,0,0,0,3200;2,16,0,0,0,3200
57;C;1,18;3373589/20000000;2,16,0,31,1,2237;2,16,0,0,0,3200
58;C;0,1;9398359/25000000;2,37,0,31,9,6277;2,37,0,31,9,6277
59;C;0,18;3373589/20000000;2,16,0,0,10,3000;2,16,0,0,11,2958
60;C;0,1;9398359/25000000;2,37,0,31,8,6311;2,37,0,31,9,6277
61;C;0,18;3373589/20000000;2,16,0,0,6,3128;2,16,0,0,11,2958
62;C;1,18;3373589/20000000;2,16,0,31,9,2077;2,16,0,0,11,2958
MASS SLACK NUMERATOR 1738125284204064432264625028100541456591518457127928257869656395582157235770891454379243

BIN 45: PQP; (45/34,271/204]; gamma0=753/1250; mass ceiling=24849087/25000000.
GAMMA 0=753/1250;1=243717075000/403456565377;2=242817750000/401657915377;3=3037/5000;4=1531/2500;5=223032600000/362087615377;6=3087/5000;7=80939250000/130815157451;8=75543300000/121463976101;9=389/625;10=3137/5000;11=1581/2500;12=121408875000/191496454777;13=3187/5000;14=803/1250;15=3237/5000;16=1631/2500;17=3287/5000;18=98925750000/150427637051;19=414/625;20=3337/5000;21=1681/2500;22=3387/5000;23=853/1250;24=3437/5000;25=151985925000/219994265377;26=1731/2500;27=3487/5000;28=439/625;29=3537/5000;30=1781/2500;31=3587/5000;32=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37575227,37777553;1,2,37777553,37576555;2,3,37576555,36971750;3,4,36971750,37503376;4,5,37503376,37941051;5,6,37941051,38118276;6,7,38118276,38282670;7,8,38282670,38680931;8,9,38680931,38020102;9,10,38020102,31205070;10,11,31205070,25110253;11,12,25110253,24518225;12,13,24518225,23284332;13,14,23284332,21527327;14,15,21527327,19839239;15,16,19839239,18220067;16,17,18220067,16669811;17,18,16669811,16600110;18,19,16600110,15188471;19,20,15188471,13776048;20,21,13776048,12432540;21,22,12432540,11157950;22,23,11157950,9952275;23,24,9952275,8815517;24,25,8815517,8068568;25,26,0,0;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0;31,32,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;350466537727/91731150000,1/3,403456565377/183462300000;-75786722909627
1;0,6,7;2,2,8;-4
3;0,3,7;23/34,2,1;-1
4;2,3,7;67/34,2,45/68;-23
8;1,3,6;35/102,3,271/204;-35
9;1,4,10;108995734301/22932787500,7/3,403456565377/183462300000;-12084535409627
10;0,10;1/3,1;-1
12;0,10;1/3,1;-1
13;2,3,10;118/51,1/3,45/68;-1
18;1,4,13;350466537727/91731150000,1/3,403456565377/183462300000;-75786722909627
19;0,3,13;23/34,2,1;-1
21;0,7,13;2,2,6;-4
22;2,3,13;67/34,2,45/68;-23
26;1,3,12;35/102,3,271/204;-35
27;0,1,7;2/3,2,1;-1
28;0,6,7;4,2,8;-4
30;0,3,7;23/34,2,1;-1
31;2,3,7;101/34,2,169/204;-35
35;1,3,6;35/102,3,271/204;-35
36;1,4,10;281148365377/45865575000,4/3,403456565377/183462300000;-50305847909627
37;0,10;1/3,1;-1
39;0,10;1/3,1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;23/34,2,1;-1
48;0,7,13;4,2,6;-4
49;2,3,13;101/34,2,169/204;-35
53;1,3,12;35/102,3,271/204;-35
54;0,1,7;5/3,2,1;-1
55;0,6,7;6,2,8;-4
56;1,4,7;58113603313/11466393750,5/3,403456565377/183462300000;-37565410409627
57;0,3,7;23/34,2,1;-1
58;2,3,7;135/34,5/2,55/51;-35
60;1,4,7;152653408927/30577050000,11/3,403456565377/183462300000;-2612574303209
62;1,3,6;35/102,3,271/204;-35
63;1,4,6;335055704527/45865575000,2/3,403456565377/183462300000;-50305847909627
64;0,10;1/3,1;-1
65;1,4,6;335055704527/45865575000,2/3,403456565377/183462300000;-50305847909627
66;0,10;1/3,1;-1
69;1,4,10;152653408927/30577050000,11/3,403456565377/183462300000;-2612574303209
72;0,1,13;5/3,2,1;-1
73;0,3,13;23/34,2,1;-1
74;1,4,6;335055704527/45865575000,2/3,403456565377/183462300000;-50305847909627
75;0,7,13;6,2,6;-4
76;2,3,13;135/34,5/2,55/51;-35
78;1,4,9;58113603313/11466393750,5/3,403456565377/183462300000;-37565410409627
80;1,3,12;35/102,3,271/204;-35
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;57361401436092,1783125801585847109475000,16811588977033,1751
5;8,4,2,3;16811588977033,451514372143771545525000,171456634866164,187
6;1,4,12,3;57361401436092,4704863260031159609475000,15131410656583,1547
7;11,4,2,3;15131410656583,45865575000,171456634866164,17
11;1,4,6,3;57361401436092,4704863260031159609475000,15131410656583,1547
14;5,4,2,3;15131410656583,45865575000,171456634866164,17
15;1,4,12,3;57361401436092,4704863260031159609475000,15131410656583,1547
16;11,4,2,3;15131410656583,45865575000,171456634866164,17
17;8,4,2,3;16811588977033,451514372143771545525000,171456634866164,187
20;1,4,6,3;57361401436092,4704863260031159609475000,15131410656583,1547
23;5,4,2,3;15131410656583,45865575000,171456634866164,17
24;1,4,9,3;57361401436092,1783125801585847109475000,16811588977033,1751
25;8,4,2,3;16811588977033,451514372143771545525000,171456634866164,187
29;1,4,7,3;57361401436092,60166653037319218950000,6084737586341,34
32;8,4,2,3;6084737586341,2727872099309535781050000,1654217260636092,3434
33;1,4,12,3;57361401436092,1198778309896784609475000,104359185559023,1173
34;11,4,2,3;104359185559023,3701326016411017890525000,1654217260636092,4029
38;1,4,6,3;57361401436092,1198778309896784609475000,104359185559023,1173
41;5,4,2,3;104359185559023,3701326016411017890525000,1654217260636092,4029
42;1,4,12,3;57361401436092,1198778309896784609475000,104359185559023,1173
43;11,4,2,3;104359185559023,3701326016411017890525000,1654217260636092,4029
44;8,4,2,3;6084737586341,2727872099309535781050000,1654217260636092,3434
47;1,4,6,3;57361401436092,1198778309896784609475000,104359185559023,1173
50;5,4,2,3;104359185559023,3701326016411017890525000,1654217260636092,4029
51;1,4,9,3;57361401436092,60166653037319218950000,6084737586341,34
52;8,4,2,3;6084737586341,2727872099309535781050000,1654217260636092,3434
59;1,4,2,3;57361401436092,1753042475067187500000000,176548005610149,2601
61;1,4,2,3;57361401436092,1753042475067187500000000,176548005610149,2601
68;1,4,2,3;57361401436092,1753042475067187500000000,176548005610149,2601
70;1,4,2,3;57361401436092,1753042475067187500000000,176548005610149,2601
71;1,4,2,3;57361401436092,1753042475067187500000000,176548005610149,2601
77;1,4,2,3;57361401436092,1753042475067187500000000,176548005610149,2601
79;1,4,2,3;57361401436092,1753042475067187500000000,176548005610149,2601
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,1
9;6;V;12,3
10;6;E;4,1
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;3,1
25;29;V;7,3
26;29;E;4,1
27;29;E;4,7
28;29;E;4,3
29;32;V;2,3
30;32;E;4,2
31;32;E;4,3
32;33;V;3,1
33;33;V;12,3
34;33;E;4,1
35;33;E;4,12
36;33;E;4,3
37;34;V;2,3
38;34;E;4,2
39;34;E;4,3
40;38;V;3,1
41;38;V;6,3
42;38;E;4,1
43;38;E;4,6
44;38;E;4,3
45;41;V;2,3
46;41;E;4,2
47;41;E;4,3
48;59;V;3,1
49;59;V;2,3
50;59;E;4,1
51;59;E;4,2
52;59;E;4,3
53;61;V;3,1
54;61;V;2,3
55;61;E;4,1
56;61;E;4,2
57;61;E;4,3
58;68;V;3,1
59;68;V;2,3
60;68;E;4,1
61;68;E;4,2
62;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/8;E/4,1/2/0/1;E/4,7/3/0/8;E/4,3/4/1/8
5:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
6:V/3,1/8/0/1;V/12,3/9/0/7;E/4,1/10/0/1;E/4,12/11/0/7;E/4,3/12/1/7
7:V/3,11/9/0/7;V/2,3/13/0/12;E/4,11/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
11:V/3,1/16/0/1;V/6,3/17/0/7;E/4,1/18/0/1;E/4,6/19/0/7;E/4,3/20/1/7
14:V/3,5/17/0/7;V/2,3/21/0/12;E/4,5/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
15:V/3,1/16/0/1;V/12,3/17/0/7;E/4,1/18/0/1;E/4,12/19/0/7;E/4,3/20/1/7
16:V/3,11/17/0/7;V/2,3/21/0/12;E/4,11/19/0/7;E/4,2/22/0/12;E/4,3/23/7/12
17:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
20:V/3,1/8/0/1;V/6,3/9/0/7;E/4,1/10/0/1;E/4,6/11/0/7;E/4,3/12/1/7
23:V/3,5/9/0/7;V/2,3/13/0/12;E/4,5/11/0/7;E/4,2/14/0/12;E/4,3/15/7/12
24:V/3,1/0/0/1;V/9,3/1/0/8;E/4,1/2/0/1;E/4,9/3/0/8;E/4,3/4/1/8
25:V/3,8/1/0/8;V/2,3/5/0/12;E/4,8/3/0/8;E/4,2/6/0/12;E/4,3/7/8/12
29:V/3,1/24/0/1;V/7,3/25/0/2;E/4,1/26/0/1;E/4,7/27/0/2;E/4,3/28/1/2
32:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
33:V/3,1/32/0/1;V/12,3/33/0/5;E/4,1/34/0/1;E/4,12/35/0/5;E/4,3/36/1/5
34:V/3,11/33/0/5;V/2,3/37/0/25;E/4,11/35/0/5;E/4,2/38/0/25;E/4,3/39/5/25
38:V/3,1/40/0/1;V/6,3/41/0/5;E/4,1/42/0/1;E/4,6/43/0/5;E/4,3/44/1/5
40:V/2,3/37/0/25;E/4,2/38/0/25
41:V/3,5/41/0/5;V/2,3/45/0/25;E/4,5/43/0/5;E/4,2/46/0/25;E/4,3/47/5/25
42:V/3,1/40/0/1;V/12,3/41/0/5;E/4,1/42/0/1;E/4,12/43/0/5;E/4,3/44/1/5
43:V/3,11/41/0/5;V/2,3/45/0/25;E/4,11/43/0/5;E/4,2/46/0/25;E/4,3/47/5/25
44:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
47:V/3,1/32/0/1;V/6,3/33/0/5;E/4,1/34/0/1;E/4,6/35/0/5;E/4,3/36/1/5
50:V/3,5/33/0/5;V/2,3/37/0/25;E/4,5/35/0/5;E/4,2/38/0/25;E/4,3/39/5/25
51:V/3,1/24/0/1;V/9,3/25/0/2;E/4,1/26/0/1;E/4,9/27/0/2;E/4,3/28/1/2
52:V/3,8/25/0/2;V/2,3/29/0/25;E/4,8/27/0/2;E/4,2/30/0/25;E/4,3/31/2/25
59:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
61:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
67:V/2,3/54/0/18;E/4,2/56/0/18
68:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
70:V/3,1/58/0/1;V/2,3/59/0/18;E/4,1/60/0/1;E/4,2/61/0/18;E/4,3/62/1/18
71:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
77:V/3,1/53/0/1;V/2,3/54/0/18;E/4,1/55/0/1;E/4,2/56/0/18;E/4,3/57/1/18
79:V/3,1/48/0/1;V/2,3/49/0/18;E/4,1/50/0/1;E/4,2/51/0/18;E/4,3/52/1/18
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;37575227/100000000,37777553/100000000;6,375752,0,160004,602400,131199984;10,3777755300,0,1604479187,6040726461,185232649989
1;C;0,2;37575227/100000000;4,3757,0,0,6024,2562848;4,3757,0,0,6046,2031768
1;C;2,3;147887/400000;4,3697,0,0,6046,831768;4,3697,0,0,6074,153048
1;L;3,4;147887/400000,2343961/6250000;4,3697,0,0,6074,153048;8,37503376,0,0,61240000,0
1;L;4,5;2343961/6250000,37941051/100000000;8,37503376,0,0,61240000,0;10,3794105100,0,0,6159630723,712548994542
1;L;5,6;37941051/100000000,9529569/25000000;10,3794105100,0,0,6159630723,712548994542;8,38118276,0,0,61740000,0
1;L;6,7;9529569/25000000,3828267/10000000;8,38118276,0,0,61740000,0;10,3828267000,0,0,6187299055,807992213950
1;L;7,8;3828267/10000000,38680931/100000000;10,3828267000,0,0,6187299055,807992213950;10,3868093100,0,0,6219399564,126633219808
2;L;0,1;37575227/100000000,37777553/100000000;8,37575227,0,16041513,60240000,60670831;10,3777755300,0,1604479187,6040726461,185232649989
3;C;0,2;37575227/100000000;4,3757,0,0,6024,2562848;4,3757,0,0,6046,2031768
3;C;2,3;147887/400000;4,3697,0,0,6046,831768;4,3697,0,0,6074,153048
3;L;3,4;147887/400000,2343961/6250000;4,3697,0,0,6074,153048;8,37503376,0,0,61240000,0
3;L;4,5;2343961/6250000,37941051/100000000;8,37503376,0,0,61240000,0;10,3794105100,0,0,6159630723,712548994542
3;L;5,6;37941051/100000000,9529569/25000000;10,3794105100,0,0,6159630723,712548994542;8,38118276,0,0,61740000,0
3;L;6,7;9529569/25000000,3828267/10000000;8,38118276,0,0,61740000,0;10,3828267000,0,0,6187299055,807992213950
3;L;7,8;3828267/10000000,38680931/100000000;10,3828267000,0,0,6187299055,807992213950;10,3868093100,0,0,6219399564,126633219808
4;L;1,2;37777553/100000000,7515311/20000000;10,3777755300,0,1604479187,6040726461,185232649989;10,3757655500,0,1435166536,6045386901,1448380993102
4;L;2,3;7515311/20000000,147887/400000;10,3757655500,0,1435166536,6045386901,1448380993102;8,36971750,0,3956597,60740000,140179591
4;L;3,4;147887/400000,2343961/6250000;8,36971750,0,3956597,60740000,140179591;8,37503376,0,0,61240000,0
4;L;4,5;2343961/6250000,37941051/100000000;8,37503376,0,0,61240000,0;10,3794105100,0,0,6159630723,712548994542
4;L;5,6;37941051/100000000,9529569/25000000;10,3794105100,0,0,6159630723,712548994542;8,38118276,0,0,61740000,0
4;L;6,7;9529569/25000000,3828267/10000000;8,38118276,0,0,61740000,0;10,3828267000,0,0,6187299055,807992213950
4;L;7,8;3828267/10000000,38680931/100000000;10,3828267000,0,0,6187299055,807992213950;10,3868093100,0,0,6219399564,126633219808
5;C;0,12;980729/4000000;2,24,0,0,46,568;4,2451,0,0,4821,2535918
6;C;0,12;980729/4000000;4,2451,0,0,4815,2651550;4,2451,0,0,4821,2535918
7;L;8,9;38680931/100000000,19010051/50000000;10,3868093100,0,0,6219399564,126633219808;10,3802010200,0,0,6166044222,1304680829432
7;L;9,10;19010051/50000000,3120507/10000000;10,3802010200,0,0,6166044222,1304680829432;10,3120507000,0,0,5586149811,578129328558
7;L;10,11;3120507/10000000,25110253/100000000;10,3120507000,0,0,5586149811,578129328558;4,2511,0,0,5007,79902
7;L;11,12;25110253/100000000,980729/4000000;4,2511,0,0,5007,79902;4,2451,0,0,4821,2535918
8;C;0,1;37575227/100000000;2,37,46,61,1,1561;2,37,46,61,1,1561
9;C;0,7;147887/400000;2,36,0,61,1,3477;2,36,0,62,1,3354
10;C;0,1;37575227/100000000;2,37,61,47,1,1468;2,37,61,46,1,1561
11;C;0,7;147887/400000;2,36,0,61,0,3479;2,36,0,62,1,3354
12;C;1,7;147887/400000;2,36,61,46,1,1361;2,36,62,0,1,3354
13;C;0,12;980729/4000000;2,24,0,2,1,4794;2,24,0,2,1,4794
14;C;0,12;980729/4000000;2,24,0,2,0,4796;2,24,0,2,1,4794
15;C;7,12;980729/4000000;2,24,0,62,1,954;2,24,0,2,1,4794
16;C;0,1;37575227/100000000;2,37,0,61,39,637;2,37,0,61,39,637
17;C;0,7;147887/400000;2,36,0,61,13,3141;2,36,0,62,13,3018
18;C;0,1;37575227/100000000;2,37,0,61,39,637;2,37,0,61,39,637
19;C;0,7;147887/400000;2,36,0,61,11,3237;2,36,0,62,13,3018
20;C;1,7;147887/400000;2,36,61,0,39,437;2,36,62,0,13,3018
21;C;0,12;980729/4000000;2,24,0,2,16,4284;2,24,0,2,17,4218
22;C;0,12;980729/4000000;2,24,0,2,14,4404;2,24,0,2,17,4218
23;C;7,12;980729/4000000;2,24,0,62,13,618;2,24,0,2,17,4218
24;C;0,1;37575227/100000000;4,3757,0,0,6024,2562848;4,3757,0,0,6041,2152638
25;C;0,2;37575227/100000000;4,3757,0,0,6024,2562848;4,3757,0,0,6046,2031768
26;C;0,1;37575227/100000000;4,3757,0,0,6024,2562848;4,3757,0,0,6041,2152638
27;C;0,2;37575227/100000000;4,3757,0,0,6024,2562848;4,3757,0,0,6046,2031768
28;C;1,2;7515311/20000000;4,3757,0,0,6041,2152638;4,3757,0,0,6046,2031768
29;C;0,25;1008571/12500000;2,8,0,0,25,350;8,8068568,0,0,28405224,99019648
30;C;0,25;1008571/12500000;4,806,0,0,2828,124832;8,8068568,0,0,28405224,99019648
31;C;2,7;147887/400000;4,3697,0,0,6046,831768;2,36,0,0,56,928
31;C;7,10;3120507/10000000;4,3120,0,0,5519,1481278;2,31,0,0,52,792
31;L;10,11;3120507/10000000,25110253/100000000;2,31,0,0,52,792;10,2511025300,0,0,5011013162,180525523512
31;L;11,12;25110253/100000000,980729/4000000;10,2511025300,0,0,5011013162,180525523512;8,24518225,0,0,49515881,57587678
31;L;12,13;980729/4000000,5821083/25000000;8,24518225,0,0,49515881,57587678;10,2328433200,0,0,4825384105,478426697950
31;L;13,14;5821083/25000000,21527327/100000000;10,2328433200,0,0,4825384105,478426697950;10,2152732700,0,0,4639755048,189117035392
31;L;14,15;21527327/100000000,19839239/100000000;10,2152732700,0,0,4639755048,189117035392;8,19839239,0,0,44541260,115224800
31;L;15,16;19839239/100000000,18220067/100000000;8,19839239,0,0,44541260,115224800;8,18220067,0,0,42684970,72198200
31;L;16,17;18220067/100000000,16669811/100000000;8,18220067,0,0,42684970,72198200;8,16669811,0,0,40828679,142229918
31;L;17,18;16669811/100000000,1660011/10000000;8,16669811,0,0,40828679,142229918;10,1660011000,0,0,4074323253,60126995982
31;L;18,19;1660011/10000000,15188471/100000000;10,1660011000,0,0,4074323253,60126995982;10,1518847100,0,0,3897238820,1159770015200
31;L;19,20;15188471/100000000,861003/6250000;10,1518847100,0,0,3897238820,1159770015200;8,13776048,0,0,37116098,138508792
31;L;20,21;861003/6250000,621627/5000000;8,13776048,0,0,37116098,138508792;10,1243254000,0,0,3525980706,121831483128
31;L;21,22;621627/5000000,223159/2000000;10,1243254000,0,0,3525980706,121831483128;8,11157950,0,0,33403517,104061422
31;L;22,23;223159/2000000,398091/4000000;8,11157950,0,0,33403517,104061422;8,9952275,0,0,31547226,63409848
31;L;23,24;398091/4000000,8815517/100000000;8,9952275,0,0,31547226,63409848;8,8815517,0,0,29690936,38887808
31;L;24,25;8815517/100000000,1008571/12500000;8,8815517,0,0,29690936,38887808;8,8068568,0,0,28405224,99019648
32;C;0,1;37575227/100000000;2,37,2,61,1,3673;2,37,2,61,1,3673
33;C;0,5;147887/400000;2,36,0,61,1,3477;2,36,0,62,1,3354
34;C;0,1;37575227/100000000;2,37,61,2,1,3673;2,37,61,2,1,3673
35;C;0,5;147887/400000;2,36,0,61,0,3479;2,36,0,62,1,3354
36;C;1,5;147887/400000;2,36,61,2,1,3473;2,36,62,0,1,3354
37;C;0,25;1008571/12500000;2,8,0,0,1,1598;2,8,0,0,1,1598
38;C;0,25;1008571/12500000;2,8,0,0,0,1600;2,8,0,0,1,1598
39;C;5,15;19839239/100000000;4,1983,0,6160,42,1710872;2,19,0,25,1,3173
39;C;15,25;1008571/12500000;2,8,0,25,1,973;2,8,0,0,1,1598
40;C;0,1;37575227/100000000;2,37,0,61,16,3167;2,37,0,61,16,3167
41;C;0,5;147887/400000;2,36,0,61,9,3317;2,36,0,62,9,3194
42;C;0,1;37575227/100000000;2,37,0,61,16,3167;2,37,0,61,16,3167
43;C;0,5;147887/400000;2,36,0,61,8,3351;2,36,0,62,9,3194
44;C;1,5;147887/400000;2,36,61,0,16,2967;2,36,62,0,9,3194
45;C;0,25;1008571/12500000;2,8,0,0,13,1262;2,8,0,0,15,1150
46;C;0,25;1008571/12500000;2,8,0,0,6,1528;2,8,0,0,15,1150
47;C;5,15;19839239/100000000;4,1983,0,6160,899,97998;2,19,0,25,12,2887
47;C;15,25;1008571/12500000;2,8,0,25,12,687;2,8,0,0,15,1150
48;C;0,1;37575227/100000000;2,37,0,0,39,4358;2,37,0,0,39,4358
49;C;0,18;1660011/10000000;2,16,0,0,20,2400;2,16,0,0,21,2318
50;C;0,1;37575227/100000000;2,37,0,0,39,4358;2,37,0,0,39,4358
51;C;0,18;1660011/10000000;2,16,0,0,21,2318;2,16,0,0,21,2318
52;C;1,18;1660011/10000000;2,16,0,0,39,158;2,16,0,0,21,2318
53;C;0,1;37575227/100000000;2,37,0,31,1,6437;2,37,0,31,1,6437
54;C;0,18;1660011/10000000;2,16,0,0,1,3198;2,16,0,0,1,3198
55;C;0,1;37575227/100000000;2,37,0,31,0,6439;2,37,0,31,1,6437
56;C;0,18;1660011/10000000;2,16,0,0,0,3200;2,16,0,0,1,3198
57;C;1,18;1660011/10000000;2,16,0,31,1,2237;2,16,0,0,1,3198
58;C;0,1;37575227/100000000;2,37,0,31,8,6311;2,37,0,31,8,6311
59;C;0,18;1660011/10000000;2,16,0,0,10,3000;2,16,0,0,11,2958
60;C;0,1;37575227/100000000;2,37,0,31,8,6311;2,37,0,31,8,6311
61;C;0,18;1660011/10000000;2,16,0,0,5,3150;2,16,0,0,11,2958
62;C;1,18;1660011/10000000;2,16,0,31,8,2111;2,16,0,0,11,2958
MASS SLACK NUMERATOR 1230956339862973314588442602195385604236374184785831553413756451380652760546151680886277835259

BIN 46: PQP; (271/204,4/3]; gamma0=603/1000; mass ceiling=9956331/10000000.
GAMMA 0=603/1000;1=244616400000/404581565377;2=76/125;3=613/1000;4=224231700000/363812165377;5=309/500;6=163077600000/263274824977;7=152885250000/245611482427;8=623/1000;9=157/250;10=633/1000;11=122308200000/192621454777;12=319/500;13=643/1000;14=81/125;15=653/1000;16=329/500;17=7644262500/11614625927;18=663/1000;19=167/250;20=673/1000;21=339/500;22=683/1000;23=86/125;24=152885250000/221119265377;25=693/1000;26=349/500;27=703/1000;28=177/250;29=713/1000;30=359/500;31=18/25
PIECES (left-index,right-index,10^8 times left bound,10^8 times right bound):
0,1,37571217,37766588;1,2,37766588,37023468;2,3,37023468,37576900;3,4,37576900,37987402;4,5,37987402,38192400;5,6,38192400,38368071;6,7,38368071,38746622;7,8,38746622,37983505;8,9,37983505,31184121;9,10,31184121,25054759;10,11,25054759,24105598;11,12,24105598,23003237;12,13,23003237,21242480;13,14,21242480,19551819;14,15,19551819,17931256;15,16,17931256,16380790;16,17,16380790,16332846;17,18,16332846,14900421;18,19,14900421,13490149;19,20,13490149,12149973;20,21,12149973,10879896;21,22,10879896,9679915;22,23,9679915,8550031;23,24,8550031,7818539;24,25,0,0;25,26,0,0;26,27,0,0;27,28,0,0;28,29,0,0;29,30,0,0;30,31,0,0
EMPTY (description; row indices; positive Farkas weights; negative numerator):
0;1,4,7;351591537727/91731150000,1/3,404581565377/183462300000;-20312064880259
1;0,6,7;2,2,8;-4
3;0,3,7;2/3,2,1;-1
4;2,3,7;2,2,2/3;-2
8;1,3,6;1/3,3,4/3;-1
9;1,4,10;109558234301/22932787500,7/3,404581565377/183462300000;-1108271626753
10;0,10;1/3,1;-1
12;0,10;1/3,1;-1
13;2,3,10;7/3,1/3,2/3;-1
18;1,4,13;351591537727/91731150000,1/3,404581565377/183462300000;-20312064880259
19;0,3,13;2/3,2,1;-1
21;0,7,13;2,2,6;-4
22;2,3,13;2,2,2/3;-2
26;1,3,12;1/3,3,4/3;-1
27;0,1,7;2/3,2,1;-1
28;0,6,7;4,2,8;-4
30;0,3,7;2/3,2,1;-1
31;2,3,7;3,2,5/6;-1
35;1,3,6;1/3,3,4/3;-1
36;1,4,10;282273365377/45865575000,4/3,404581565377/183462300000;-4505721626753
37;0,10;1/3,1;-1
39;0,10;1/3,1;-1
45;0,1,13;2/3,2,1;-1
46;0,3,13;2/3,2,1;-1
48;0,7,13;4,2,6;-4
49;2,3,13;3,2,5/6;-1
53;1,3,12;1/3,3,4/3;-1
54;0,1,7;5/3,2,1;-1
55;0,6,7;6,2,8;-4
56;1,4,7;58394853313/11466393750,5/3,404581565377/183462300000;-10119714880259
57;0,3,7;2/3,2,1;-1
58;2,3,7;4,5/2,13/12;-1
60;1,4,7;153778408927/30577050000,11/3,404581565377/183462300000;-6576994640777
62;1,3,6;1/3,3,4/3;-1
63;1,4,6;336180704527/45865575000,2/3,404581565377/183462300000;-4505721626753
64;0,10;1/3,1;-1
65;1,4,6;336180704527/45865575000,2/3,404581565377/183462300000;-4505721626753
66;0,10;1/3,1;-1
69;1,4,10;153778408927/30577050000,11/3,404581565377/183462300000;-6576994640777
72;0,1,13;5/3,2,1;-1
73;0,3,13;2/3,2,1;-1
74;1,4,6;336180704527/45865575000,2/3,404581565377/183462300000;-4505721626753
75;0,7,13;6,2,6;-4
76;2,3,13;4,5/2,13/12;-1
78;1,4,9;58394853313/11466393750,5/3,404581565377/183462300000;-10119714880259
80;1,3,12;1/3,3,4/3;-1
POLYGONS (description; counterclockwise edge rows; positive edge-length numerators):
2;1,4,7,3;217905359223,42800858625760437825000,1593842032173,9
5;8,4,2,3;1593842032173,124446489954551318925000,2052487589823,3
6;1,4,12,3;217905359223,1249939433802114816075000,4322880538869,3
7;11,4,2,3;4322880538869,45865575000,2052487589823,3
11;1,4,6,3;217905359223,1249939433802114816075000,4322880538869,3
14;5,4,2,3;4322880538869,45865575000,2052487589823,3
15;1,4,12,3;217905359223,1249939433802114816075000,4322880538869,3
16;11,4,2,3;4322880538869,45865575000,2052487589823,3
17;8,4,2,3;1593842032173,124446489954551318925000,2052487589823,3
20;1,4,6,3;217905359223,1249939433802114816075000,4322880538869,3
23;5,4,2,3;4322880538869,45865575000,2052487589823,3
24;1,4,9,3;217905359223,42800858625760437825000,1593842032173,9
25;8,4,2,3;1593842032173,124446489954551318925000,2052487589823,3
29;1,4,7;217905359223,6662903064229632150000,217905359223
32;8,4,2,3;217905359223,735692150377555367850000,13033555318446,9
33;1,4,12,3;217905359223,2480184622831612725000,38212317147,3
34;11,4,2,3;38212317147,7804331230895887275000,13033555318446,21
38;1,4,6,3;217905359223,2480184622831612725000,38212317147,3
41;5,4,2,3;38212317147,7804331230895887275000,13033555318446,21
42;1,4,12,3;217905359223,2480184622831612725000,38212317147,3
43;11,4,2,3;38212317147,7804331230895887275000,13033555318446,21
44;8,4,2,3;217905359223,735692150377555367850000,13033555318446,9
47;1,4,6,3;217905359223,2480184622831612725000,38212317147,3
50;5,4,2,3;38212317147,7804331230895887275000,13033555318446,21
51;1,4,9;217905359223,6662903064229632150000,217905359223
52;8,4,2,3;217905359223,735692150377555367850000,13033555318446,9
59;1,4,2,3;217905359223,467477993351250000000000,854190754692,9
61;1,4,2,3;217905359223,467477993351250000000000,854190754692,9
68;1,4,2,3;217905359223,467477993351250000000000,854190754692,9
70;1,4,2,3;217905359223,467477993351250000000000,854190754692,9
71;1,4,2,3;217905359223,467477993351250000000000,854190754692,9
77;1,4,2,3;217905359223,467477993351250000000000,854190754692,9
79;1,4,2,3;217905359223,467477993351250000000000,854190754692,9
SEGMENTS (description; zero-Farkas rows; weights; line row; endpoint row pairs):
40;2,10;2,1/2;2;2,3:2,4
67;2,10;1,1/4;2;2,3:2,4
FUNCTIONS (function id; representative description; V or E; row pair):
0;2;V;3,1
1;2;V;7,3
2;2;E;4,1
3;2;E;4,7
4;2;E;4,3
5;5;V;2,3
6;5;E;4,2
7;5;E;4,3
8;6;V;3,1
9;6;V;12,3
10;6;E;4,1
11;6;E;4,12
12;6;E;4,3
13;7;V;2,3
14;7;E;4,2
15;7;E;4,3
16;11;V;3,1
17;11;V;6,3
18;11;E;4,1
19;11;E;4,6
20;11;E;4,3
21;14;V;2,3
22;14;E;4,2
23;14;E;4,3
24;29;V;7,1
25;29;E;4,1
26;29;E;4,7
27;32;V;2,3
28;32;E;4,2
29;32;E;4,3
30;33;V;3,1
31;33;V;12,3
32;33;E;4,1
33;33;E;4,12
34;33;E;4,3
35;34;V;2,3
36;34;E;4,2
37;34;E;4,3
38;38;V;3,1
39;38;V;6,3
40;38;E;4,1
41;38;E;4,6
42;38;E;4,3
43;41;V;2,3
44;41;E;4,2
45;41;E;4,3
46;59;V;3,1
47;59;V;2,3
48;59;E;4,1
49;59;E;4,2
50;59;E;4,3
51;61;V;3,1
52;61;V;2,3
53;61;E;4,1
54;61;E;4,2
55;61;E;4,3
56;68;V;3,1
57;68;V;2,3
58;68;E;4,1
59;68;E;4,2
60;68;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:
2:V/3,1/0/0/1;V/7,3/1/0/7;E/4,1/2/0/1;E/4,7/3/0/7;E/4,3/4/1/7
5:V/3,8/1/0/7;V/2,3/5/0/11;E/4,8/3/0/7;E/4,2/6/0/11;E/4,3/7/7/11
6:V/3,1/8/0/1;V/12,3/9/0/6;E/4,1/10/0/1;E/4,12/11/0/6;E/4,3/12/1/6
7:V/3,11/9/0/6;V/2,3/13/0/11;E/4,11/11/0/6;E/4,2/14/0/11;E/4,3/15/6/11
11:V/3,1/16/0/1;V/6,3/17/0/6;E/4,1/18/0/1;E/4,6/19/0/6;E/4,3/20/1/6
14:V/3,5/17/0/6;V/2,3/21/0/11;E/4,5/19/0/6;E/4,2/22/0/11;E/4,3/23/6/11
15:V/3,1/16/0/1;V/12,3/17/0/6;E/4,1/18/0/1;E/4,12/19/0/6;E/4,3/20/1/6
16:V/3,11/17/0/6;V/2,3/21/0/11;E/4,11/19/0/6;E/4,2/22/0/11;E/4,3/23/6/11
17:V/3,8/1/0/7;V/2,3/5/0/11;E/4,8/3/0/7;E/4,2/6/0/11;E/4,3/7/7/11
20:V/3,1/8/0/1;V/6,3/9/0/6;E/4,1/10/0/1;E/4,6/11/0/6;E/4,3/12/1/6
23:V/3,5/9/0/6;V/2,3/13/0/11;E/4,5/11/0/6;E/4,2/14/0/11;E/4,3/15/6/11
24:V/3,1/0/0/1;V/9,3/1/0/7;E/4,1/2/0/1;E/4,9/3/0/7;E/4,3/4/1/7
25:V/3,8/1/0/7;V/2,3/5/0/11;E/4,8/3/0/7;E/4,2/6/0/11;E/4,3/7/7/11
29:V/7,1/24/0/1;E/4,1/25/0/1;E/4,7/26/0/1
32:V/3,8/24/0/1;V/2,3/27/0/24;E/4,8/26/0/1;E/4,2/28/0/24;E/4,3/29/1/24
33:V/3,1/30/0/1;V/12,3/31/0/4;E/4,1/32/0/1;E/4,12/33/0/4;E/4,3/34/1/4
34:V/3,11/31/0/4;V/2,3/35/0/24;E/4,11/33/0/4;E/4,2/36/0/24;E/4,3/37/4/24
38:V/3,1/38/0/1;V/6,3/39/0/4;E/4,1/40/0/1;E/4,6/41/0/4;E/4,3/42/1/4
40:V/2,3/35/0/24;E/4,2/36/0/24
41:V/3,5/39/0/4;V/2,3/43/0/24;E/4,5/41/0/4;E/4,2/44/0/24;E/4,3/45/4/24
42:V/3,1/38/0/1;V/12,3/39/0/4;E/4,1/40/0/1;E/4,12/41/0/4;E/4,3/42/1/4
43:V/3,11/39/0/4;V/2,3/43/0/24;E/4,11/41/0/4;E/4,2/44/0/24;E/4,3/45/4/24
44:V/3,8/24/0/1;V/2,3/27/0/24;E/4,8/26/0/1;E/4,2/28/0/24;E/4,3/29/1/24
47:V/3,1/30/0/1;V/6,3/31/0/4;E/4,1/32/0/1;E/4,6/33/0/4;E/4,3/34/1/4
50:V/3,5/31/0/4;V/2,3/35/0/24;E/4,5/33/0/4;E/4,2/36/0/24;E/4,3/37/4/24
51:V/9,1/24/0/1;E/4,1/25/0/1;E/4,9/26/0/1
52:V/3,8/24/0/1;V/2,3/27/0/24;E/4,8/26/0/1;E/4,2/28/0/24;E/4,3/29/1/24
59:V/3,1/46/0/1;V/2,3/47/0/17;E/4,1/48/0/1;E/4,2/49/0/17;E/4,3/50/1/17
61:V/3,1/51/0/1;V/2,3/52/0/17;E/4,1/53/0/1;E/4,2/54/0/17;E/4,3/55/1/17
67:V/2,3/52/0/17;E/4,2/54/0/17
68:V/3,1/56/0/1;V/2,3/57/0/17;E/4,1/58/0/1;E/4,2/59/0/17;E/4,3/60/1/17
70:V/3,1/56/0/1;V/2,3/57/0/17;E/4,1/58/0/1;E/4,2/59/0/17;E/4,3/60/1/17
71:V/3,1/46/0/1;V/2,3/47/0/17;E/4,1/48/0/1;E/4,2/49/0/17;E/4,3/50/1/17
77:V/3,1/51/0/1;V/2,3/52/0/17;E/4,1/53/0/1;E/4,2/54/0/17;E/4,3/55/1/17
79:V/3,1/46/0/1;V/2,3/47/0/17;E/4,1/48/0/1;E/4,2/49/0/17;E/4,3/50/1/17
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). A rounding witness is e,v,u0,u1,u2,S:
0;L;0,1;37571217/100000000,9441647/25000000;4,3757,0,1552,6030,9496;10,3776658800,0,1555996501,6046157832,1829965876551
1;C;0,1;37571217/100000000;4,3757,0,0,6030,2418200;4,3757,0,0,6047,2007582
1;C;1,2;9255867/25000000;4,3702,0,0,6047,907582;4,3702,0,0,6080,107200
1;L;2,3;9255867/25000000,375769/1000000;4,3702,0,0,6080,107200;6,375769,0,0,613000,0
1;L;3,4;375769/1000000,18993701/50000000;6,375769,0,0,613000,0;10,3798740200,0,0,6163392029,1393718526318
1;L;4,5;18993701/50000000,95481/250000;10,3798740200,0,0,6163392029,1393718526318;6,381924,0,0,618000,0
1;L;5,6;95481/250000,38368071/100000000;6,381924,0,0,618000,0;10,3836807100,0,0,6194196503,1364445141982
1;L;6,7;38368071/100000000,19373311/50000000;10,3836807100,0,0,6194196503,1364445141982;10,3874662200,0,0,6224678443,562502191502
2;L;0,1;37571217/100000000,9441647/25000000;8,37571217,0,15558381,60300000,180658839;10,3776658800,0,1555996501,6046157832,1829965876551
3;C;0,1;37571217/100000000;4,3757,0,0,6030,2418200;4,3757,0,0,6047,2007582
3;C;1,2;9255867/25000000;4,3702,0,0,6047,907582;4,3702,0,0,6080,107200
3;L;2,3;9255867/25000000,375769/1000000;4,3702,0,0,6080,107200;6,375769,0,0,613000,0
3;L;3,4;375769/1000000,18993701/50000000;6,375769,0,0,613000,0;10,3798740200,0,0,6163392029,1393718526318
3;L;4,5;18993701/50000000,95481/250000;10,3798740200,0,0,6163392029,1393718526318;6,381924,0,0,618000,0
3;L;5,6;95481/250000,38368071/100000000;6,381924,0,0,618000,0;10,3836807100,0,0,6194196503,1364445141982
3;L;6,7;38368071/100000000,19373311/50000000;10,3836807100,0,0,6194196503,1364445141982;10,3874662200,0,0,6224678443,562502191502
4;L;1,2;9441647/25000000,9255867/25000000;10,3776658800,0,1555996501,6046157832,1829965876551;8,37023468,0,3378396,60800000,40467184
4;L;2,3;9255867/25000000,375769/1000000;8,37023468,0,3378396,60800000,40467184;6,375769,0,0,613000,0
4;L;3,4;375769/1000000,18993701/50000000;6,375769,0,0,613000,0;10,3798740200,0,0,6163392029,1393718526318
4;L;4,5;18993701/50000000,95481/250000;10,3798740200,0,0,6163392029,1393718526318;6,381924,0,0,618000,0
4;L;5,6;95481/250000,38368071/100000000;6,381924,0,0,618000,0;10,3836807100,0,0,6194196503,1364445141982
4;L;6,7;38368071/100000000,19373311/50000000;10,3836807100,0,0,6194196503,1364445141982;10,3874662200,0,0,6224678443,562502191502
5;C;0,11;12052799/50000000;2,24,0,0,46,568;2,24,0,0,48,192
6;C;0,11;12052799/50000000;2,24,0,0,48,192;2,24,0,0,48,192
7;L;7,8;19373311/50000000,7596701/20000000;10,3874662200,0,0,6224678443,562502191502;10,3798350500,0,0,6163075936,14195447808
7;L;8,9;7596701/20000000,31184121/100000000;10,3798350500,0,0,6163075936,14195447808;10,3118412100,0,0,5584274408,672312499072
7;L;9,10;31184121/100000000,25054759/100000000;10,3118412100,0,0,5584274408,672312499072;8,25054759,0,0,50054729,9473118
7;L;10,11;25054759/100000000,12052799/50000000;8,25054759,0,0,50054729,9473118;2,24,0,0,48,192
8;C;0,1;37571217/100000000;2,37,46,61,1,1561;2,37,46,61,1,1561
9;C;0,6;9255867/25000000;2,37,0,61,1,3677;2,37,0,62,1,3554
10;C;0,1;37571217/100000000;2,37,61,46,1,1561;2,37,61,46,1,1561
11;C;0,6;9255867/25000000;2,37,0,61,0,3679;2,37,0,62,1,3554
12;C;1,6;9255867/25000000;2,37,61,46,1,1561;2,37,62,0,1,3554
13;C;0,11;12052799/50000000;2,24,0,1,1,4797;2,24,0,1,1,4797
14;C;0,11;12052799/50000000;2,24,0,1,0,4799;2,24,0,1,1,4797
15;C;6,11;12052799/50000000;2,24,0,62,1,954;2,24,0,1,1,4797
16;C;0,1;37571217/100000000;2,37,0,61,38,791;2,37,0,61,39,637
17;C;0,6;9255867/25000000;2,37,0,61,12,3391;2,37,0,62,13,3218
18;C;0,1;37571217/100000000;2,37,0,61,38,791;2,37,0,61,39,637
19;C;0,6;9255867/25000000;2,37,0,61,11,3437;2,37,0,62,13,3218
20;C;1,6;9255867/25000000;2,37,61,0,39,637;2,37,62,0,13,3218
21;C;0,11;12052799/50000000;2,24,0,1,16,4287;2,24,0,1,17,4221
22;C;0,11;12052799/50000000;2,24,0,1,14,4407;2,24,0,1,17,4221
23;C;6,11;12052799/50000000;2,24,0,62,13,618;2,24,0,1,17,4221
24;C;0,1;37571217/100000000;4,3757,0,0,6030,2418200;4,3757,0,0,6047,2007582
25;C;0,1;37571217/100000000;4,3757,0,0,6030,2418200;4,3757,0,0,6047,2007582
26;C;0,1;37571217/100000000;4,3757,0,0,6030,2418200;4,3757,0,0,6047,2007582
27;C;0,24;7818539/100000000;2,7,0,0,25,150;8,7818539,0,0,27961650,58555000
28;C;0,24;7818539/100000000;4,781,0,0,2790,51800;8,7818539,0,0,27961650,58555000
29;C;1,6;9255867/25000000;4,3702,0,0,6047,907582;2,37,0,0,55,1350
29;C;6,9;31184121/100000000;2,31,0,0,55,150;2,31,0,0,52,792
29;L;9,10;31184121/100000000,25054759/100000000;2,31,0,0,52,792;2,25,0,0,50,0
29;L;10,11;25054759/100000000,12052799/50000000;2,25,0,0,50,0;8,24105598,0,0,49097452,14215392
29;L;11,12;12052799/50000000,23003237/100000000;8,24105598,0,0,49097452,14215392;10,2300323700,0,0,4796168973,364864250542
29;L;12,13;23003237/100000000,265531/1250000;10,2300323700,0,0,4796168973,364864250542;10,2124248000,0,0,4608956425,1344902438750
29;L;13,14;265531/1250000,19551819/100000000;10,2124248000,0,0,4608956425,1344902438750;10,1955181900,0,0,4421743877,172426017742
29;L;14,15;19551819/100000000,2241407/12500000;10,1955181900,0,0,4421743877,172426017742;10,1793125600,0,0,4234531329,847434987518
29;L;15,16;2241407/12500000,1638079/10000000;10,1793125600,0,0,4234531329,847434987518;8,16380790,0,0,40473188,106233312
29;L;16,17;1638079/10000000,8166423/50000000;8,16380790,0,0,40473188,106233312;8,16332846,0,0,40413915,148745550
29;L;17,18;8166423/50000000,14900421/100000000;8,16332846,0,0,40413915,148745550;8,14900421,0,0,38601063,70540062
29;L;18,19;14900421/100000000,13490149/100000000;8,14900421,0,0,38601063,70540062;8,13490149,0,0,36728937,173700062
29;L;19,20;13490149/100000000,12149973/100000000;8,13490149,0,0,36728937,173700062;10,1214997300,0,0,3485681138,8382049912
29;L;20,21;12149973/100000000,1359987/12500000;10,1214997300,0,0,3485681138,8382049912;8,10879896,0,0,32984686,178962808
29;L;21,22;1359987/12500000,1935983/20000000;8,10879896,0,0,32984686,178962808;8,9679915,0,0,31112561,96042558
29;L;22,23;1935983/20000000,8550031/100000000;8,9679915,0,0,31112561,96042558;8,8550031,0,0,29240435,122021550
29;L;23,24;8550031/100000000,7818539/100000000;8,8550031,0,0,29240435,122021550;8,7818539,0,0,27961650,58555000
30;C;0,1;37571217/100000000;2,37,1,61,1,3676;2,37,1,61,1,3676
31;C;0,4;9255867/25000000;2,37,0,61,1,3677;2,37,0,62,1,3554
32;C;0,1;37571217/100000000;2,37,61,1,1,3676;2,37,61,1,1,3676
33;C;0,4;9255867/25000000;2,37,0,61,0,3679;2,37,0,62,1,3554
34;C;1,4;9255867/25000000;2,37,61,1,1,3676;2,37,62,0,1,3554
35;C;0,24;7818539/100000000;2,7,0,0,1,1398;2,7,0,0,1,1398
36;C;0,24;7818539/100000000;2,7,0,0,0,1400;2,7,0,0,1,1398
37;C;4,14;19551819/100000000;4,1955,0,6164,46,1100872;2,19,0,25,1,3173
37;C;14,24;7818539/100000000;2,7,0,25,1,773;2,7,0,0,1,1398
38;C;0,1;37571217/100000000;2,37,0,61,16,3167;2,37,0,61,16,3167
39;C;0,4;9255867/25000000;2,37,0,61,9,3517;2,37,0,62,9,3394
40;C;0,1;37571217/100000000;2,37,0,61,16,3167;2,37,0,61,16,3167
41;C;0,4;9255867/25000000;2,37,0,61,8,3551;2,37,0,62,9,3394
42;C;1,4;9255867/25000000;2,37,61,0,16,3167;2,37,62,0,9,3394
43;C;0,24;7818539/100000000;2,7,0,0,13,1062;2,7,0,0,15,950
44;C;0,24;7818539/100000000;2,7,0,0,6,1328;2,7,0,0,15,950
45;C;4,9;31184121/100000000;2,31,0,62,9,2194;2,31,0,48,10,3696
45;C;9,14;19551819/100000000;2,19,0,48,10,1296;2,19,0,25,12,2887
45;C;14,24;7818539/100000000;2,7,0,25,12,487;2,7,0,0,15,950
46;C;0,1;37571217/100000000;2,37,0,0,38,4512;2,37,0,0,38,4512
47;C;0,17;8166423/50000000;2,16,0,0,19,2478;2,16,0,0,21,2318
48;C;0,1;37571217/100000000;2,37,0,0,38,4512;2,37,0,0,38,4512
49;C;0,17;8166423/50000000;2,16,0,0,21,2318;2,16,0,0,21,2318
50;C;1,17;8166423/50000000;2,16,0,0,38,312;2,16,0,0,21,2318
51;C;0,1;37571217/100000000;2,37,0,31,1,6437;2,37,0,31,1,6437
52;C;0,17;8166423/50000000;2,16,0,0,1,3198;2,16,0,0,1,3198
53;C;0,1;37571217/100000000;2,37,0,31,1,6437;2,37,0,31,1,6437
54;C;0,17;8166423/50000000;2,16,0,0,0,3200;2,16,0,0,1,3198
55;C;1,17;8166423/50000000;2,16,0,31,1,2237;2,16,0,0,1,3198
56;C;0,1;37571217/100000000;2,37,0,31,8,6311;2,37,0,31,8,6311
57;C;0,17;8166423/50000000;2,16,0,0,10,3000;2,16,0,0,11,2958
58;C;0,1;37571217/100000000;2,37,0,31,8,6311;2,37,0,31,8,6311
59;C;0,17;8166423/50000000;2,16,0,0,5,3150;2,16,0,0,11,2958
60;C;1,17;8166423/50000000;2,16,0,31,8,2111;2,16,0,0,11,2958
MASS SLACK NUMERATOR 1705478680141812684836486332883161754745201148889410362590732328321786336305348673

