Written rational cell enclosures for the strong-incidence source bound.

For B rows,  M_i means every degree-six Bernstein coefficient c_(j, i) <= M_i/10^6
  for all sixteen beta intervals.
Its contribution is at most (v-l)*sum(M_i)/10^6 <= D/10^8.
For S rows,  its contribution is at most rate*(v^7-l^7) <= D/10^8.
The sixteen-character choice string encodes the two middle half-slices: 0=BB,
  1=BC, 2=CB, 3=CC,  with B the centroid polynomial and C the convex-order
  polynomial; X=empty enlarged region and -=no middle slice. All branch
  polynomials are valid upper bounds on their indicated whole slice.
The relevant beta interval,  affine old profile,  p-floor,  edge formula and
  Bernstein change-of-basis are those stated immediately before this table. Thus
  each table entry is an explicit rational inequality,	not a reference to an
  unevaluated program.

Case prime3,  slope row 1: a in [263/1800, 623/1920].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 15411/623000 | S 1 | 1
15411/623000 | 15411/311500 | S 1 | 1
15411/311500 | 46233/623000 | S 1 | 2
46233/623000 | 15411/155750 | S 1 | 9
15411/155750 | 15411/124600 | S 1 | 35
15411/124600 | 46233/311500 | S 1 | 115
46233/311500 | 15411/89000 | S 1 | 309
15411/89000 | 15411/77875 | S 1 | 722
15411/77875 | 138699/623000 | S 1 | 1523
138699/623000 | 15411/62300 | S 1 | 2957
15411/62300 | 169521/623000 | S 1 | 5377
169521/623000 | 46233/155750 | S 1 | 9264
46233/155750 | 200343/623000 | S 1 | 15256
200343/623000 | 15411/44500 | S 1 | 24181
15411/44500 | 46233/124600 | S 1 | 37093
46233/124600 | 30822/77875 | S 1 | 55303
30822/77875 | 261987/623000 | S 1 | 80426
261987/623000 | 138699/311500 | S 1 | 114419
138699/311500 | 292809/623000 | S 1 | 159630
292809/623000 | 15411/31150 | S 1 | 218843
15411/31150 | 5137/10250 | S 1 | 68693
5137/10250 | 15411/30350 | S 1 | 76227
15411/30350 | 15411/29950 | S 1 | 84705
15411/29950 | 5137/9850 | S 1 | 94257
5137/9850 | 1401/2650 | B ------------0022 20120, 20396, 20676, 20959, 21246,
  21537, 21832 | 105032
1401/2650 | 15411/28750 | B -----------00222 21832, 22135, 22443, 22754, 23070,
  23390, 23714 | 117202
15411/28750 | 5137/9450 | B ----------000222 23714, 24047, 24385, 24727, 25074,
  25426, 25782 | 130959
5137/9450 | 15411/27950 | B ---------0002222 25782, 26148, 26519, 26896, 27277,
  27663, 28054 | 146520
15411/27950 | 15411/27550 | B --------00002222 28054, 28457, 28864, 29277, 29696,
  30120, 30549 | 164126
15411/27550 | 5137/9050 | B -------000022222 30549, 30990, 31438, 31890, 32349,
  32813, 33283 | 184040
5137/9050 | 15411/26750 | B ------0000022222 33283, 33767, 34256, 34752, 35253,
  35760, 36273 | 206547
15411/26750 | 15411/26350 | B -----00000222222 36273, 36801, 37335, 37876, 38422,
  38974, 39531 | 231943
15411/26350 | 5137/8650 | B ----000002222222 39531, 40106, 40687, 41274, 41866,
  42464, 43067 | 260534
5137/8650 | 15411/25550 | B ---0000002222222 43067, 43689, 44317, 44950, 45589,
  46232, 46880 | 292613
15411/25550 | 15411/25150 | B --00000022222222 46880, 47549, 48223, 48901, 49584,
  50271, 50961 | 328441
15411/25150 | 467/750 | B -000000022222222 50961, 51673, 52389, 53109, 53831,
  54555, 55281 | 368202
467/750 | 15411/23950 | B 0000000222222222 55281, 56806, 58374, 59986, 61644,
  63349, 65103 | 874683
15411/23950 | 7196937/10897250 | B 0000002222222222 65103, 66533, 67996, 69492,
  71022, 72586, 74185 | 826324
7196937/10897250 | 15411/22750 | B 0000022222222222 74185, 75784, 77419, 79089,
  80796, 82541, 84324 | 940402
15411/22750 | 6827073/9805250 | B 0000222222222222 84324, 86306, 88335, 90413,
  92541, 94720, 96951 | 1194983
6827073/9805250 | 15411/21550 | B 0002222222222222 96951, 99181, 101465, 103801,
  106192, 108639, 111143 | 1371861
15411/21550 | 587019/797350 | B 0022222222222222 111143, 113943, 116814, 119759,
  122778, 125875, 129051 | 1769784
587019/797350 | 1401/1850 | B 0022222222222222 129051, 132227, 135482, 138819,
  142238, 145742, 149334 | 2051330
1401/1850 | 110679/141710 | B 0222222222222222 149334, 153376, 157528, 161794,
  166177, 170679, 175304 | 2691135
110679/141710 | 15411/19150 | B 2222222222222222 174614, 178853, 183182, 187604,
  192121, 196734, 201446 | 3119086
15411/19150 | 5655837/6874850 | B 2222222222222222 201446, 205007, 208624, 212299,
  216031, 219823, 223675 | 2666496
5655837/6874850 | 231165/274994 | B 2222222222222222 223675, 227526, 231438,
  235410, 239444, 243541, 247702 | 2956710
231165/274994 | 15411/17950 | B 2222222222222222 247702, 251862, 256086, 260375,
  264729, 269150, 273639 | 3270195
15411/17950 | 15783/17950 | B 2222222222222222 273639, 278826, 284103, 289473,
  294935, 300493, 306147 | 4202079
15783/17950 | 9/10 | B 2222222222222222 306147, 311802, 317553, 323402, 329351,
  335402, 341557 | 4694483
9/10 | 208/225 | S 61/100 | 6020071
208/225 | 427/450 | S 61/100 | 7054855
427/450 | 73/75 | S 61/100 | 8233808
73/75 | 32193/32920 | S 61/100 | 1687603
32193/32920 | 20367/20735 | B 2222222222222222 542158, 541396, 540602, 539775,
  538916, 538023, 537095 | 1638153
20367/20735 | 8541/8680 | B 2222222222222222 537095, 536724, 536347, 535965,
  535578, 535184, 534785 | 650521
8541/8680 | 657/664 | B 2222222222222222 534785, 533526, 532209, 530834, 529399,
  527902, 526341 | 2032719
657/664 | 99/100 | B 2222222222222222 526341, 526186, 526031, 525875, 525718,
  525561, 525403 | 199579
99/100 | 21681/21860 | S 11/25 | 528192
21681/21860 | 19053/19160 | S 11/25 | 769442
19053/19160 | 40077/40120 | S 11/25 | 1362442
40077/40120 | 4599/4597 | S 11/25 | 463226
4599/4597 | 657/655 | S 11/25 | 814942
657/655 | 44019/43720 | S 11/25 | 1201001
44019/43720 | 24309/24110 | S 11/25 | 455886
24309/24110 | 4599/4552 | S 11/25 | 674357
4599/4552 | 47961/47320 | B 0000000002222222 473180, 471872, 470555, 469231,
  467899, 466997, 466424 | 1058451
47961/47320 | 25623/25235 | B 0000000000222222 466069, 465338, 464604, 464205,
  463935, 463627, 463279 | 594749
25623/25235 | 12483/12280 | B 0000000000022222 462508, 462056, 461762, 461619,
  461458, 461278, 461079 | 373422
12483/12280 | 51903/50920 | B 0000000000000222 461225, 460263, 459271, 458253,
  457600, 457230, 456635 | 890538
51903/50920 | 14673/14360 | B 0000000000000002 456555, 455754, 454895, 454331,
  454284, 453668, 452034 | 792793
14673/14360 | 30879/30220 | B -000000000000000 451890, 451886, 451882, 451877,
  451873, 451869, 451865 | 3193
30879/30220 | 8103/7930 | B --00000000000000 451865, 451861, 451857, 451853,
  451849, 451845, 451841 | 2891
8103/7930 | 6789/6644 | B ---0000000000000 451841, 451838, 451834, 451831, 451827,
  451824, 451820 | 2630
6789/6644 | 17739/17360 | B ----000000000000 451820, 451817, 451814, 451811,
  451807, 451804, 451801 | 2403
17739/17360 | 37011/36220 | B -----00000000000 451801, 451798, 451795, 451792,
  451789, 451786, 451783 | 2203
37011/36220 | 4818/4715 | B ------0000000000 451783, 451780, 451778, 451775,
  451772, 451770, 451767 | 2028
4818/4715 | 40077/39220 | B -------000000000 451767, 451764, 451762, 451759,
  451757, 451754, 451752 | 1873
40077/39220 | 4161/4072 | B --------00000000 451752, 451749, 451747, 451745,
  451742, 451740, 451738 | 1735
4161/4072 | 43143/42220 | B ---------0000000 451738, 451735, 451733, 451731,
  451729, 451727, 451725 | 1612
43143/42220 | 11169/10930 | B ----------000000 451725, 451723, 451720, 451718,
  451716, 451714, 451712 | 1501
11169/10930 | 46209/45220 | B -----------00000 451712, 451710, 451709, 451707,
  451705, 451703, 451701 | 1402
46209/45220 | 327/320 | B ------------0000 451701, 451699, 451697, 451696, 451694,
  451692, 451690 | 1312
327/320 | 9855/9644 | B -------------000 451690, 451689, 451687, 451685, 451684,
  451682, 451680 | 1230
9855/9644 | 6351/6215 | B --------------00 451680, 451679, 451677, 451676, 451674,
  451672, 451671 | 1156
6351/6215 | 52341/51220 | B ---------------0 451671, 451669, 451668, 451667,
  451665, 451664, 451662 | 1088
52341/51220 | 5256/5137 | B ---------------- 451662, 451113, 449949, 448635,
  447325, 446019, 444717 | 401623
5256/5137 | 25623/25010 | B ---------------- 444717, 443347, 441983, 440622,
  439265, 437913, 436565 | 414831
25623/25010 | 24966/24335 | B ---------------- 436565, 435141, 433723, 432309,
  430900, 429496, 428096 | 429584
24966/24335 | 24309/23660 | B ---------------- 428096, 426616, 425141, 423671,
  422207, 420747, 419293 | 445024
24309/23660 | 23652/22985 | B ---------------- 419293, 417753, 416219, 414690,
  413167, 411650, 410138 | 461175
23652/22985 | 4599/4462 | B ---------------- 410138, 408534, 406937, 405347,
  403762, 402184, 400611 | 478063
4599/4462 | 22338/21635 | B ---------------- 400611, 398941, 397278, 395621,
  393972, 392329, 390693 | 495710
22338/21635 | 21681/20960 | B ---------------- 390693, 388952, 387219, 385493,
  383775, 382065, 380362 | 514133
21681/20960 | 21024/20285 | B ---------------- 380362, 378546, 376739, 374940,
  373150, 371368, 369595 | 533341
21024/20285 | 20367/19610 | B ---------------- 369595, 367700, 365815, 363939,
  362073, 360216, 358369 | 553335
20367/19610 | 26/25 | B ---------------- 358369, 357181, 355997, 354816, 353640,
  352467, 351299 | 347044
Exact integer sum of the last column: 78813928; hence this whole slope row is
  bounded by 78813928/10^8 < 789/1000.

Case prime3,  slope row 2: a in [623/1920, 42517/115200].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 4203/170068 | S 1 | 1
4203/170068 | 4203/85034 | S 1 | 1
4203/85034 | 12609/170068 | S 1 | 2
12609/170068 | 4203/42517 | S 1 | 8
4203/42517 | 21015/170068 | S 1 | 35
21015/170068 | 12609/85034 | S 1 | 114
12609/85034 | 29421/170068 | S 1 | 307
29421/170068 | 8406/42517 | S 1 | 718
8406/42517 | 37827/170068 | S 1 | 1513
37827/170068 | 21015/85034 | S 1 | 2938
21015/85034 | 46233/170068 | S 1 | 5342
46233/170068 | 12609/42517 | S 1 | 9204
12609/42517 | 54639/170068 | S 1 | 15156
54639/170068 | 29421/85034 | S 1 | 24024
29421/85034 | 63045/170068 | S 1 | 36851
63045/170068 | 16812/42517 | S 1 | 54942
16812/42517 | 4203/10004 | S 1 | 79901
4203/10004 | 37827/85034 | S 1 | 113673
37827/85034 | 79857/170068 | S 1 | 158588
79857/170068 | 21015/42517 | S 1 | 217415
21015/42517 | 88263/170068 | S 1 | 293407
88263/170068 | 46233/85034 | S 1 | 390355
46233/85034 | 46233/84074 | S 1 | 116180
46233/84074 | 46233/83114 | S 1 | 127294
46233/83114 | 46233/82154 | S 1 | 139618
46233/82154 | 46233/81194 | B -------------002 31764, 32140, 32520, 32904, 33293,
  33686, 34084 | 153298
46233/81194 | 4203/7294 | B ------------0022 34084, 34492, 34904, 35321, 35743,
  36170, 36602 | 168498
4203/7294 | 46233/79274 | B -----------00222 36602, 37044, 37491, 37944, 38402,
  38865, 39334 | 185395
46233/79274 | 46233/78314 | B ----------000222 39334, 39814, 40299, 40791, 41287,
  41790, 42298 | 204189
46233/78314 | 46233/77354 | B ---------0002222 42298, 42819, 43345, 43878, 44416,
  44961, 45511 | 225093
46233/77354 | 46233/76394 | B --------00002222 45511, 46075, 46645, 47222, 47804,
  48393, 48988 | 248333
46233/76394 | 46233/75434 | B -------000022222 48988, 49598, 50214, 50837, 51466,
  52101, 52743 | 274147
46233/75434 | 46233/74474 | B ------0000022222 52743, 53400, 54065, 54735, 55412,
  56095, 56783 | 302772
46233/74474 | 46233/73514 | B -----00000222222 56783, 57490, 58203, 58922, 59646,
  60377, 61113 | 334433
46233/73514 | 46233/72554 | B ----000002222222 61113, 61868, 62629, 63395, 64167,
  64944, 65725 | 369335
46233/72554 | 46233/71594 | B ---0000002222222 65725, 66527, 67333, 68144, 68959,
  69778, 70600 | 407628
46233/71594 | 46233/70634 | B --00000022222222 70600, 71444, 72291, 73141, 73994,
  74847, 75702 | 449386
46233/70634 | 4203/6334 | B -000000022222222 75702, 76580, 77459, 78339, 79218,
  80096, 80971 | 494549
4203/6334 | 46233/67754 | B 0000000222222222 80971, 82796, 84665, 86577, 88534,
  90537, 92587 | 1140770
46233/67754 | 1532947581/2197736498 | B 0000002222222222 92587, 94238, 95920,
  97632, 99377, 101154, 102963 | 1035818
1532947581/2197736498 | 46233/64874 | B 0000022222222222 102963, 104773, 106615,
  108491, 110401, 112346, 114326 | 1150997
46233/64874 | 1466372061/2010899378 | B 0000222222222222 114326, 116489, 118695,
  120944, 123237, 125574, 127957 | 1402464
1466372061/2010899378 | 46233/61994 | B 0002222222222222 127957, 130340, 132768,
  135243, 137765, 140335, 142954 | 1568232
46233/61994 | 127254231/166577878 | B 0022222222222222 142954, 145828, 148762,
  151755, 154810, 157928, 161110 | 1931381
127254231/166577878 | 4203/5374 | B 0022222222222222 161110, 164292, 167538,
  170850, 174227, 177673, 181188 | 2174325
4203/5374 | 121201911/151100758 | B 0222222222222222 181188, 185064, 189023,
  193068, 197202, 201425, 205740 | 2709131
121201911/151100758 | 46233/56234 | B 2222222222222222 204943, 208809, 212734,
  216718, 220762, 224868, 229036 | 3039904
46233/56234 | 1266645501/1500154418 | B 2222222222222222 229036, 233654, 238349,
  243122, 247973, 252906, 257920 | 3778793
1266645501/1500154418 | 46233/53354 | B 2222222222222222 257920, 262934, 268030,
  273209, 278473, 283823, 289261 | 4246305
46233/53354 | 235629/266770 | B 2222222222222222 289261, 293362, 297512, 301713,
  305965, 310268, 314624 | 3535299
235629/266770 | 9/10 | B 2222222222222222 314624, 318980, 323388, 327849, 332364,
  336933, 341557 | 3841505
9/10 | 15411/16750 | S 61/100 | 4867993
15411/16750 | 70688/75375 | S 61/100 | 4874606
70688/75375 | 144053/150750 | B 2222222222222222 414317, 420449, 426667, 432971,
  439364, 445846, 452418 | 5384246
144053/150750 | 73/75 | B 2222222222222222 452418, 458990, 465652, 472407, 479254,
  486195, 493231 | 5874567
73/75 | 187821/192050 | B 2222222222222222 493231, 492355, 491462, 490551, 489622,
  488674, 487708 | 1595376
187821/192050 | 145773/148850 | B 2222222222222222 487708, 487427, 487145, 486861,
  486576, 486289, 486000 | 459567
145773/148850 | 31257/31690 | B 2222222222222222 486000, 484501, 482956, 481367,
  479730, 478044, 476308 | 2360998
31257/31690 | 201837/204050 | B 2222222222222222 476308, 475610, 474903, 474189,
  473466, 472734, 471994 | 935430
201837/204050 | 99/100 | B 2222222222222222 471994, 471773, 471550, 471326,
  471102, 470877, 470651 | 278915
99/100 | 166797/168050 | S 11/25 | 743377
166797/168050 | 16119/16150 | S 11/25 | 1657935
16119/16150 | 215853/216050 | S 11/25 | 307739
215853/216050 | 187821/187250 | S 11/25 | 1227927
187821/187250 | 198333/196850 | B 0222222222222222 449004, 446446, 443905, 441381,
  439067, 437608, 436115 | 1387217
198333/196850 | 229869/228050 | B 0222222222222222 436115, 435967, 435819, 435671,
  435523, 435374, 435225 | 135000
229869/228050 | 41769/41290 | B 0022222222222222 434990, 433060, 431986, 430886,
  429759, 428605, 427423 | 1093422
41769/41290 | 219357/216050 | B 0000222222222222 428317, 426483, 424655, 423333,
  422361, 421351, 420299 | 1099428
219357/216050 | 48777/48010 | B 0000022222222222 420064, 419905, 419745, 419583,
  419420, 419255, 419089 | 196548
48777/48010 | 229869/225650 | B 0000002222222222 420004, 418759, 417551, 416955,
  416330, 415676, 414991 | 794680
229869/225650 | 240381/235250 | B 0000000022222222 416654, 415327, 413999, 413046,
  412437, 411806, 411255 | 901281
240381/235250 | 257901/252050 | B 0000000002222222 411255, 411007, 410746, 410512,
  410309, 410091, 409858 | 403137
257901/252050 | 250893/244850 | B 0000000000222222 409858, 409615, 409400, 409221,
  409022, 408803, 408562 | 420154
250893/244850 | 52281/50890 | B 0000000000002222 409155, 408298, 407996, 407668,
  407441, 407094, 406815 | 757304
52281/50890 | 263741/256050 | B 0000000000000002 407915, 407036, 406352, 406420,
  406185, 405378, 403531 | 768595
263741/256050 | 51113/49610 | B 000000000000000- 403531, 403421, 403290, 403141,
  402978, 402802, 402616 | 73144
51113/49610 | 247389/240050 | B 00000000000000-- 402616, 402417, 402206, 401985,
  401756, 401521, 401281 | 77798
247389/240050 | 18401/17850 | B 0000000000000--- 401281, 401024, 400762, 400496,
  400227, 399956, 399684 | 82856
18401/17850 | 231037/224050 | B 000000000000---- 399684, 399392, 399099, 398806,
  398512, 398218, 397924 | 88399
231037/224050 | 264909/256850 | B 00000000000----- 397924, 397747, 397569, 397392,
  397215, 397037, 396860 | 53211
264909/256850 | 222861/216050 | B 00000000000----- 396860, 396723, 396585, 396447,
  396309, 396172, 396034 | 41300
222861/216050 | 42937/41610 | B 0000000000------ 396034, 395696, 395358, 395020,
  394682, 394345, 394007 | 101277
42937/41610 | 206509/200050 | B 000000000------- 394007, 393643, 393280, 392916,
  392553, 392191, 391828 | 108795
206509/200050 | 198333/192050 | B 00000000-------- 391828, 391436, 391043, 390652,
  390260, 389869, 389479 | 117180
198333/192050 | 257901/249650 | B 0000000--------- 389479, 389174, 388869, 388564,
  388259, 387955, 387651 | 91073
257901/249650 | 190157/184050 | B 0000000--------- 387651, 387532, 387413, 387295,
  387176, 387057, 386938 | 35497
190157/184050 | 181981/176050 | B 000000---------- 386938, 386478, 386018, 385558,
  385099, 384641, 384183 | 137130
181981/176050 | 34761/33610 | B 00000----------- 384183, 383681, 383181, 382680,
  382181, 381682, 381184 | 149065
34761/33610 | 250893/242450 | B 0000------------ 381184, 380666, 380150, 379634,
  379118, 378604, 378090 | 153578
250893/242450 | 165629/160050 | B 0000------------ 378090, 378059, 378029, 377999,
  377968, 377938, 377907 | 9045
165629/160050 | 157453/152050 | B 000------------- 377907, 377306, 376706, 376106,
  375508, 374910, 374314 | 178108
157453/152050 | 149277/144050 | B 00-------------- 374314, 373651, 372989, 372329,
  371669, 371011, 370354 | 195904
149277/144050 | 48777/47050 | B 0--------------- 370354, 369988, 369621, 369255,
  368889, 368524, 368159 | 108464
48777/47050 | 141101/136050 | B 0--------------- 368159, 367793, 367428, 367063,
  366699, 366334, 365971 | 108026
141101/136050 | 236877/228050 | B ---------------- 365971, 364603, 363240, 361883,
  360530, 359183, 357841 | 400347
236877/228050 | 26/25 | B ---------------- 357841, 356742, 355646, 354554, 353466,
  352381, 351299 | 321057
Exact integer sum of the last column: 78316263; hence this whole slope row is
  bounded by 78316263/10^8 < 789/1000.

Case prime3,  slope row 3: a in [42517/115200, 23827/57600].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 46233/1906160 | S 1 | 1
46233/1906160 | 46233/953080 | S 1 | 1
46233/953080 | 138699/1906160 | S 1 | 2
138699/1906160 | 46233/476540 | S 1 | 8
46233/476540 | 46233/381232 | S 1 | 31
46233/381232 | 138699/953080 | S 1 | 100
138699/953080 | 323631/1906160 | S 1 | 269
323631/1906160 | 46233/238270 | S 1 | 629
46233/238270 | 416097/1906160 | S 1 | 1327
416097/1906160 | 46233/190616 | S 1 | 2577
46233/190616 | 508563/1906160 | S 1 | 4685
508563/1906160 | 138699/476540 | S 1 | 8071
138699/476540 | 601029/1906160 | S 1 | 13292
601029/1906160 | 323631/953080 | S 1 | 21068
323631/953080 | 138699/381232 | S 1 | 32318
138699/381232 | 46233/119135 | S 1 | 48183
46233/119135 | 785961/1906160 | S 1 | 70072
785961/1906160 | 416097/953080 | S 1 | 99689
416097/953080 | 878427/1906160 | S 1 | 139079
878427/1906160 | 46233/95308 | S 1 | 190670
46233/95308 | 970893/1906160 | S 1 | 257313
970893/1906160 | 508563/953080 | S 1 | 342335
508563/953080 | 1063359/1906160 | S 1 | 449587
1063359/1906160 | 138699/238270 | S 1 | 583495
138699/238270 | 138699/235870 | S 1 | 166320
138699/235870 | 138699/233470 | S 1 | 180426
138699/233470 | 138699/231070 | S 1 | 195893
138699/231070 | 138699/228670 | B -------------002 46771, 47262, 47758, 48259,
  48765, 49276, 49793 | 212863
138699/228670 | 12609/20570 | B ------------0022 49793, 50320, 50854, 51392,
  51936, 52486, 53041 | 231493
12609/20570 | 138699/223870 | B -----------00222 53041, 53609, 54182, 54761,
  55345, 55936, 56533 | 251955
138699/223870 | 138699/221470 | B ----------000222 56533, 57142, 57758, 58380,
  59008, 59642, 60283 | 274428
138699/221470 | 138699/219070 | B ---------0002222 60283, 60937, 61598, 62265,
  62938, 63618, 64304 | 299101
138699/219070 | 138699/216670 | B --------00002222 64304, 65006, 65713, 66428,
  67148, 67875, 68609 | 326162
138699/216670 | 138699/214270 | B -------000022222 68609, 69358, 70115, 70877,
  71646, 72421, 73202 | 355800
138699/214270 | 138699/211870 | B ------0000022222 73202, 74000, 74805, 75616,
  76433, 77255, 78083 | 388180
138699/211870 | 138699/209470 | B -----00000222222 78083, 78930, 79782, 80640,
  81503, 82371, 83243 | 423446
138699/209470 | 138699/207070 | B ----000002222222 83243, 84135, 85032, 85933,
  86838, 87747, 88658 | 461683
138699/207070 | 138699/204670 | B ---0000002222222 88658, 89591, 90527, 91465,
  92406, 93347, 94290 | 502905
138699/204670 | 138699/202270 | B --00000022222222 94290, 95255, 96220, 97186,
  98151, 99114, 100076 | 547009
138699/202270 | 12609/18170 | B -000000022222222 100076, 101060, 102042, 103020,
  103994, 104962, 105924 | 593729
12609/18170 | 138699/195070 | B 0000000222222222 105924, 107919, 109954, 112029,
  114146, 116304, 118506 | 1340064
138699/195070 | 2655669753/3664780090 | B 0000002222222222 118506, 120263, 122048,
  123860, 125700, 127569, 129467 | 1181827
2655669753/3664780090 | 138699/187870 | B 0000022222222222 129467, 131366, 133293,
  135250, 137237, 139254, 141303 | 1290494
138699/187870 | 2555806473/3394247290 | B 0000222222222222 141303, 143514, 145762,
  148046, 150368, 152727, 155125 | 1525269
2555806473/3394247290 | 138699/180670 | B 0002222222222222 155125, 157523, 159959,
  162434, 164949, 167504, 170100 | 1673477
138699/180670 | 223267563/284916590 | B 0022222222222222 170100, 172912, 175772,
  178680, 181638, 184646, 187706 | 1993795
223267563/284916590 | 12609/15770 | B 0022222222222222 187706, 190765, 193876,
  197039, 200255, 203525, 206849 | 2198616
12609/15770 | 214189083/262207790 | B 0222222222222222 206849, 210461, 214138,
  217881, 221690, 225568, 229515 | 2641929
214189083/262207790 | 138699/166270 | B 2222222222222222 228637, 232087, 235573,
  239095, 242654, 246251, 249886 | 2898281
138699/166270 | 2256216633/2644856890 | B 2222222222222222 249886, 253850, 257858,
  261913, 266014, 270161, 274357 | 3462440
2256216633/2644856890 | 138699/159070 | B 2222222222222222 274357, 278552, 282795,
  287086, 291426, 295815, 300255 | 3795173
138699/159070 | 140931/159070 | B 2222222222222222 300255, 303554, 306882, 310237,
  313620, 317033, 320473 | 3047731
140931/159070 | 9/10 | B 2222222222222222 320473, 323914, 327384, 330883, 334411,
  337969, 341557 | 3250539
9/10 | 46233/50474 | S 61/100 | 3824373
46233/50474 | 1122398541/1201129778 | S 61/100 | 4951105
1122398541/1201129778 | 1144590381/1201129778 | B 2222222222222222 402290, 408052,
  413888, 419799, 425786, 431850, 437991 | 5431252
1144590381/1201129778 | 46233/47594 | B 2222222222222222 437991, 444133, 450353,
  456651, 463030, 469490, 476031 | 5907970
46233/47594 | 73/75 | B 2222222222222222 476031, 476715, 477399, 478084, 478769,
  479456, 480144 | 645685
73/75 | 1576899/1619630 | B 2222222222222222 480144, 480086, 480029, 479971,
  479913, 479856, 479798 | 95244
1576899/1619630 | 2207619/2253230 | B 2222222222222222 479798, 478546, 477269,
  475966, 474636, 473279, 471894 | 2045703
2207619/2253230 | 1703043/1734830 | B 2222222222222222 471894, 471461, 471025,
  470587, 470146, 469701, 469254 | 632351
1703043/1734830 | 96273/97370 | B 2222222222222222 469254, 467611, 465929, 464207,
  462444, 460639, 458789 | 2292577
96273/97370 | 99/100 | B 2222222222222222 458789, 458458, 458124, 457790, 457453,
  457116, 456777 | 405788
99/100 | 2375811/2397230 | S 11/25 | 309854
2375811/2397230 | 1955331/1965230 | S 11/25 | 1151103
1955331/1965230 | 37845/37826 | S 11/25 | 1683112
37845/37826 | 2544003/2541230 | B 2222222222222222 438326, 438137, 437949, 437760,
  437571, 437381, 437191 | 180459
2544003/2541230 | 2207619/2195630 | B 2222222222222222 437191, 435782, 434351,
  432900, 431427, 429933, 428416 | 1323864
2207619/2195630 | 2333763/2310830 | B 2222222222222222 428416, 426867, 425294,
  423698, 422078, 420433, 418764 | 1323747
2333763/2310830 | 542439/537046 | B 0222222222222222 418406, 418367, 418328,
  418289, 418250, 418211, 418172 | 34502
542439/537046 | 2459907/2426030 | B 0022222222222222 419653, 417561, 415480,
  414004, 412798, 411564, 410301 | 1137913
2459907/2426030 | 2586051/2541230 | B 0002222222222222 410240, 409213, 408158,
  407125, 406166, 405183, 404312 | 1047110
2586051/2541230 | 2880387/2829230 | B 0000222222222222 404312, 404207, 404101,
  403995, 403888, 403781, 403672 | 125583
2880387/2829230 | 542439/531286 | B 0000022222222222 403672, 403021, 402418,
  401787, 401218, 400662, 400073 | 818783
542439/531286 | 2838339/2771630 | B 0000000222222222 400148, 399589, 399078,
  398583, 398145, 397657, 397254 | 858358
2838339/2771630 | 3048579/2973230 | B 0000000002222222 397254, 397101, 396938,
  396765, 396582, 396456, 396330 | 353835
3048579/2973230 | 2964483/2886830 | B 0000000000222222 396330, 396177, 396005,
  395815, 395668, 395550, 395409 | 431322
2964483/2886830 | 3090627/3002030 | B 0000000000002222 396001, 395171, 395001,
  394855, 394620, 394477, 394306 | 722431
3090627/3002030 | 3118659/3021230 | B 0000000000000002 395484, 394596, 394143,
  394167, 393897, 393072, 391239 | 754140
3118659/3021230 | 3020547/2925230 | B 000000000000000- 391239, 391097, 390922,
  390720, 390497, 390257, 390003 | 91976
3020547/2925230 | 584487/565846 | B 00000000000000-- 390003, 389732, 389445,
  389146, 388840, 388527, 388211 | 97828
584487/565846 | 2824323/2733230 | B 0000000000000--- 388211, 387872, 387528,
  387183, 386835, 386488, 386140 | 104176
2824323/2733230 | 626535/606166 | B 000000000000---- 386140, 385892, 385643,
  385394, 385146, 384898, 384650 | 74200
626535/606166 | 2726211/2637230 | B 000000000000---- 384650, 384526, 384402,
  384278, 384154, 384031, 383907 | 36939
2726211/2637230 | 2628099/2541230 | B 00000000000----- 383907, 383508, 383109,
  382710, 382312, 381914, 381517 | 118817
2628099/2541230 | 2529987/2445230 | B 0000000000------ 381517, 381088, 380660,
  380232, 379805, 379378, 378952 | 127317
2529987/2445230 | 486375/469846 | B 000000000------- 378952, 378491, 378031,
  377571, 377112, 376653, 376195 | 136758
486375/469846 | 3048579/2944430 | B 00000000-------- 376195, 376025, 375855,
  375685, 375515, 375346, 375176 | 50472
3048579/2944430 | 2333763/2253230 | B 00000000-------- 375176, 374850, 374523,
  374197, 373872, 373546, 373221 | 96814
2333763/2253230 | 2235651/2157230 | B 0000000--------- 373221, 372683, 372146,
  371610, 371074, 370539, 370005 | 159069
2235651/2157230 | 2137539/2061230 | B 000000---------- 370005, 369421, 368838,
  368256, 367675, 367095, 366516 | 172317
2137539/2061230 | 2964483/2858030 | B 00000----------- 366516, 366320, 366125,
  365929, 365734, 365538, 365343 | 57861
2964483/2858030 | 2039427/1965230 | B 00000----------- 365343, 364904, 364466,
  364028, 363591, 363154, 362717 | 129420
2039427/1965230 | 388263/373846 | B 0000------------ 362717, 362022, 361329,
  360636, 359945, 359255, 358567 | 204265
388263/373846 | 2880387/2771630 | B 000------------- 358567, 357992, 357419,
  356846, 356274, 355703, 355133 | 168700
2880387/2771630 | 1843203/1773230 | B 000------------- 355133, 354946, 354760,
  354573, 354386, 354200, 354013 | 54951
1843203/1773230 | 26/25 | B 00-------------- 354013, 353560, 353106, 352653,
  352201, 351750, 351299 | 133117
Exact integer sum of the last column: 78478991; hence this whole slope row is
  bounded by 78478991/10^8 < 789/1000.

Case prime3,  slope row 4: a in [23827/57600, 17597/38400].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 107877/4399250 | S 1 | 1
107877/4399250 | 107877/2199625 | S 1 | 1
107877/2199625 | 323631/4399250 | S 1 | 2
323631/4399250 | 215754/2199625 | S 1 | 8
215754/2199625 | 107877/879850 | S 1 | 33
107877/879850 | 323631/2199625 | S 1 | 108
323631/2199625 | 755139/4399250 | S 1 | 290
755139/4399250 | 431508/2199625 | S 1 | 680
431508/2199625 | 970893/4399250 | S 1 | 1432
970893/4399250 | 107877/439925 | S 1 | 2782
107877/439925 | 1186647/4399250 | S 1 | 5059
1186647/4399250 | 647262/2199625 | S 1 | 8715
647262/2199625 | 1402401/4399250 | S 1 | 14351
1402401/4399250 | 755139/2199625 | S 1 | 22747
755139/2199625 | 323631/879850 | S 1 | 34893
323631/879850 | 863016/2199625 | S 1 | 52023
863016/2199625 | 1833909/4399250 | S 1 | 75657
1833909/4399250 | 970893/2199625 | S 1 | 107634
970893/2199625 | 2049663/4399250 | S 1 | 150164
2049663/4399250 | 215754/439925 | S 1 | 205866
215754/439925 | 2265417/4399250 | S 1 | 277820
2265417/4399250 | 1186647/2199625 | S 1 | 369619
1186647/2199625 | 2481171/4399250 | S 1 | 485419
2481171/4399250 | 1294524/2199625 | S 1 | 629998
1294524/2199625 | 107877/175970 | S 1 | 808817
107877/175970 | 15411/24910 | S 1 | 214858
15411/24910 | 35959/57590 | S 1 | 231225
35959/57590 | 107877/171170 | S 1 | 249007
107877/171170 | 107877/169570 | B -------------002 62662, 63253, 63850, 64452,
  65060, 65673, 66292 | 268338
107877/169570 | 3269/5090 | B ------------0022 66292, 66923, 67559, 68202, 68850,
  69504, 70165 | 289359
3269/5090 | 107877/166370 | B -----------00222 70165, 70838, 71517, 72202, 72893,
  73591, 74295 | 312223
107877/166370 | 107877/164770 | B ----------000222 74295, 75012, 75736, 76466,
  77203, 77945, 78695 | 337082
107877/164770 | 5137/7770 | B ---------0002222 78695, 79458, 80229, 81005, 81788,
  82578, 83374 | 364092
5137/7770 | 107877/161570 | B --------00002222 83374, 84185, 85003, 85827, 86657,
  87494, 88336 | 393399
107877/161570 | 107877/159970 | B -------000022222 88336, 89196, 90061, 90933,
  91810, 92693, 93582 | 425132
107877/159970 | 35959/52790 | B ------0000022222 93582, 94488, 95400, 96318,
  97240, 98167, 99099 | 459396
35959/52790 | 107877/156770 | B -----00000222222 99099, 100050, 101005, 101965,
  102928, 103896, 104866 | 496244
107877/156770 | 107877/155170 | B ----000002222222 104866, 105856, 106849, 107845,
  108843, 109843, 110843 | 535666
107877/155170 | 35959/51190 | B ---0000002222222 110843, 111865, 112887, 113910,
  114932, 115953, 116973 | 577552
35959/51190 | 15411/21710 | B --00000022222222 116973, 118014, 119052, 120088,
  121120, 122148, 123169 | 621664
15411/21710 | 9807/13670 | B -000000022222222 123169, 124213, 125250, 126280,
  127301, 128313, 129314 | 667581
9807/13670 | 107877/147170 | B 0000000222222222 129314, 131381, 133484, 135624,
  137800, 140014, 142266 | 1481728
107877/147170 | 107877/142370 | B 0000022222222222 142266, 145834, 149498, 153261,
  157124, 161091, 165165 | 2654809
107877/142370 | 1509954369/1958584090 | B 0000222222222222 165165, 167343, 169553,
  171793, 174064, 176367, 178702 | 1590226
1509954369/1958584090 | 107877/137570 | B 0002222222222222 178702, 181037, 183404,
  185804, 188237, 190702, 193202 | 1719906
107877/137570 | 132561219/166046990 | B 0022222222222222 193202, 195883, 198602,
  201361, 204160, 206999, 209879 | 1998767
132561219/166046990 | 9807/12070 | B 0022222222222222 209879, 212760, 215681,
  218644, 221650, 224698, 227789 | 2170303
9807/12070 | 127853859/154459790 | B 0222222222222222 227789, 231113, 234486,
  237911, 241386, 244915, 248496 | 2538821
127853859/154459790 | 107877/127970 | B 2222222222222222 247555, 250601, 253667,
  256754, 259862, 262990, 266139 | 2739160
107877/127970 | 1354611489/1576206490 | B 2222222222222222 266139, 269534, 272954,
  276399, 279868, 283364, 286885 | 3178631
1354611489/1576206490 | 107877/123170 | B 2222222222222222 286885, 290406, 293953,
  297526, 301126, 304752, 308406 | 3421587
107877/123170 | 9/10 | B 2222222222222222 308406, 313780, 319214, 324707, 330261,
  335877, 341557 | 5493899
9/10 | 138699/151870 | S 61/100 | 3148939
138699/151870 | 2056490073/2197103290 | B 2222222222222222 362328, 368373, 374499,
  380707, 387000, 393377, 399842 | 6059071
2056490073/2197103290 | 138699/144670 | B 2222222222222222 399842, 406306, 412857,
  419495, 426223, 433042, 439952 | 6676292
138699/144670 | 73/75 | B 2222222222222222 439952, 444394, 448873, 453391, 457948,
  462543, 467178 | 4636535
73/75 | 765333/784130 | B 2222222222222222 467178, 466591, 466000, 465406, 464807,
  464204, 463597 | 877933
765333/784130 | 1080693/1100930 | B 2222222222222222 463597, 462338, 461061,
  459766, 458453, 457121, 455769 | 1798940
1080693/1100930 | 4041/4106 | B 2222222222222222 455769, 455152, 454531, 453905,
  453276, 452642, 452005 | 810601
4041/4106 | 99/100 | B 2222222222222222 452005, 450547, 449067, 447564, 446037,
  444487, 442912 | 1826471
99/100 | 891477/899330 | S 11/25 | 369089
891477/899330 | 1164789/1172930 | S 11/25 | 526290
1164789/1172930 | 954549/956930 | S 11/25 | 1333088
954549/956930 | 92511/92230 | B 2222222222222222 430093, 428437, 426755, 425047,
  423314, 421553, 419764 | 1646612
92511/92230 | 249777/248986 | B 2222222222222222 419764, 419722, 419680, 419638,
  419596, 419554, 419512 | 38233
249777/248986 | 1080693/1072130 | B 2222222222222222 419512, 417955, 416377,
  414778, 413157, 411514, 409848 | 1396417
1080693/1072130 | 1332981/1316930 | B 2222222222222222 409848, 408394, 406922,
  405433, 403926, 402401, 400930 | 1192265
1332981/1316930 | 32679/32278 | B 2222222222222222 400930, 400853, 400776, 400699,
  400622, 400545, 400468 | 65951
32679/32278 | 1206837/1187330 | B 0222222222222222 400468, 399151, 397913, 396717,
  395563, 394478, 393401 | 1112737
1206837/1187330 | 1269909/1244930 | B 0002222222222222 394015, 392540, 391653,
  390872, 390079, 389333, 388629 | 995021
1269909/1244930 | 1417077/1388930 | B 0000222222222222 388629, 388590, 388551,
  388512, 388473, 388433, 388394 | 54571
1417077/1388930 | 1332981/1302530 | B 0000022222222222 388594, 387837, 387337,
  386807, 386342, 385891, 385403 | 843096
1332981/1302530 | 1396053/1360130 | B 0000000222222222 385459, 385069, 384707,
  384332, 384051, 383725, 383411 | 816132
1396053/1360130 | 1501173/1460930 | B 0000000022222222 383411, 383336, 383254,
  383165, 383068, 382962, 382849 | 304334
1501173/1460930 | 291825/283546 | B 0000000000222222 382849, 382754, 382680,
  382588, 382475, 382340, 382244 | 442376
291825/283546 | 1522197/1475330 | B 0000000000002222 382740, 382199, 382100,
  381937, 381939, 381880, 381697 | 687090
1522197/1475330 | 1536213/1484930 | B 0000000000000002 382953, 382058, 381833,
  381814, 381510, 380669, 378852 | 739105
1536213/1484930 | 1487157/1436930 | B 000000000000000- 378852, 378677, 378453,
  378192, 377903, 377593, 377268 | 110840
1487157/1436930 | 1438101/1388930 | B 00000000000000-- 377268, 376919, 376553,
  376175, 375790, 375401, 375009 | 117882
1438101/1388930 | 277809/268186 | B 0000000000000--- 375009, 374589, 374167,
  373745, 373322, 372900, 372479 | 125511
277809/268186 | 1543221/1489730 | B 000000000000---- 372479, 372457, 372436,
  372414, 372392, 372371, 372349 | 6438
1543221/1489730 | 1339989/1292930 | B 000000000000---- 372349, 371918, 371488,
  371058, 370629, 370200, 369772 | 127448
1339989/1292930 | 1290933/1244930 | B 00000000000----- 369772, 369287, 368803,
  368320, 367837, 367355, 366874 | 143120
1290933/1244930 | 177411/170990 | B 0000000000------ 366874, 366354, 365835,
  365316, 364798, 364281, 363765 | 153338
177411/170990 | 1501173/1446530 | B 000000000------- 363765, 363573, 363380,
  363188, 362996, 362804, 362613 | 56777
1501173/1446530 | 1192821/1148930 | B 000000000------- 362613, 362246, 361881,
  361515, 361150, 360785, 360421 | 107907
1192821/1148930 | 228753/220186 | B 00000000-------- 360421, 359817, 359215,
  358613, 358013, 357413, 356814 | 177324
228753/220186 | 1094709/1052930 | B 0000000--------- 356814, 356161, 355509,
  354859, 354209, 353561, 352914 | 191466
1094709/1052930 | 291825/280666 | B 000000---------- 352914, 352846, 352779,
  352712, 352644, 352577, 352510 | 19802
291825/280666 | 26/25 | B 000000---------- 352510, 352308, 352106, 351904, 351702,
  351500, 351299 | 59366
Exact integer sum of the last column: 78479182; hence this whole slope row is
  bounded by 78479182/10^8 < 789/1000.

Case prime3,  slope row 5: a in [17597/38400, 7241/14400].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 46233/1882660 | S 1 | 1
46233/1882660 | 46233/941330 | S 1 | 1
46233/941330 | 138699/1882660 | S 1 | 2
138699/1882660 | 46233/470665 | S 1 | 8
46233/470665 | 46233/376532 | S 1 | 34
46233/376532 | 138699/941330 | S 1 | 109
138699/941330 | 323631/1882660 | S 1 | 293
323631/1882660 | 92466/470665 | S 1 | 686
92466/470665 | 416097/1882660 | S 1 | 1447
416097/1882660 | 46233/188266 | S 1 | 2810
46233/188266 | 508563/1882660 | S 1 | 5110
508563/1882660 | 138699/470665 | S 1 | 8804
138699/470665 | 46233/144820 | S 1 | 14498
46233/144820 | 323631/941330 | S 1 | 22980
323631/941330 | 138699/376532 | S 1 | 35249
138699/376532 | 184932/470665 | S 1 | 52554
184932/470665 | 785961/1882660 | S 1 | 76429
785961/1882660 | 416097/941330 | S 1 | 108733
416097/941330 | 878427/1882660 | S 1 | 151696
878427/1882660 | 46233/94133 | S 1 | 207967
46233/94133 | 970893/1882660 | S 1 | 280655
970893/1882660 | 508563/941330 | S 1 | 373391
508563/941330 | 1063359/1882660 | S 1 | 490373
1063359/1882660 | 277398/470665 | S 1 | 636428
277398/470665 | 231165/376532 | S 1 | 817071
231165/376532 | 46233/72410 | S 1 | 1038568
46233/72410 | 46233/71810 | S 1 | 259442
46233/71810 | 46233/71210 | S 1 | 277378
46233/71210 | 46233/70610 | S 1 | 296721
46233/70610 | 46233/70010 | B -------------002 78798, 79473, 80153, 80840, 81532,
  82230, 82934 | 317588
46233/70010 | 4203/6310 | B ------------0022 82934, 83650, 84372, 85100, 85834,
  86574, 87320 | 340103
4203/6310 | 46233/68810 | B -----------00222 87320, 88079, 88845, 89616, 90394,
  91178, 91968 | 364397
46233/68810 | 46233/68210 | B ----------000222 91968, 92772, 93583, 94399, 95222,
  96051, 96887 | 390596
46233/68210 | 46233/67610 | B ---------0002222 96887, 97737, 98593, 99456, 100325,
  101200, 102081 | 418821
46233/67610 | 46233/67010 | B --------00002222 102081, 102977, 103880, 104789,
  105703, 106623, 107549 | 449173
46233/67010 | 46233/66410 | B -------000022222 107549, 108491, 109439, 110392,
  111351, 112314, 113282 | 481735
46233/66410 | 46233/65810 | B ------0000022222 113282, 114268, 115258, 116253,
  117252, 118254, 119260 | 516548
46233/65810 | 46233/65210 | B -----00000222222 119260, 120284, 121312, 122343,
  123376, 124412, 125448 | 553595
46233/65210 | 46233/64610 | B ----000002222222 125448, 126504, 127562, 128620,
  129679, 130737, 131794 | 592786
46233/64610 | 46233/64010 | B ---0000002222222 131794, 132871, 133947, 135020,
  136091, 137159, 138221 | 633921
46233/64010 | 46233/63410 | B --00000022222222 138221, 139304, 140382, 141454,
  142519, 143577, 144625 | 676658
46233/63410 | 4203/5710 | B -000000022222222 144625, 145693, 146751, 147799,
  148834, 149856, 150862 | 720467
4203/5710 | 46233/61610 | B 0000000222222222 150862, 152934, 155037, 157172,
  159340, 161541, 163776 | 1578002
46233/61610 | 46233/59810 | B 0000022222222222 163776, 167295, 170898, 174585,
  178360, 182223, 186176 | 2762722
46233/59810 | 46233/58010 | B 0000222222222222 186176, 190375, 194676, 199082,
  203594, 208216, 212949 | 3346134
46233/58010 | 24003333/29643110 | B 0022222222222222 212949, 215468, 218018,
  220600, 223214, 225861, 228541 | 1971100
24003333/29643110 | 4203/5110 | B 0022222222222222 228541, 231221, 233935, 236682,
  239462, 242277, 245127 | 2114779
4203/5110 | 23246793/27803510 | B 0222222222222222 245127, 248165, 251242, 254360,
  257518, 260716, 263956 | 2423186
23246793/27803510 | 46233/54410 | B 2222222222222222 262963, 265637, 268320,
  271012, 273712, 276422, 279142 | 2581174
46233/54410 | 247392783/286251010 | B 2222222222222222 279142, 282048, 284964,
  287891, 290830, 293780, 296742 | 2929599
247392783/286251010 | 46233/52610 | B 2222222222222222 296742, 299703, 302676,
  305661, 308658, 311668, 314689 | 3110428
46233/52610 | 9/10 | B 2222222222222222 314689, 319099, 323535, 327998, 332489,
  337008, 341557 | 4871231
9/10 | 15411/16910 | S 61/100 | 2676155
15411/16910 | 178721367/192046870 | B 2222222222222222 357781, 362428, 367117,
  371848, 376621, 381438, 386298 | 5014154
178721367/192046870 | 107877/113570 | B 2222222222222222 386298, 391158, 396062,
  401011, 406004, 411044, 416129 | 5407375
107877/113570 | 73/75 | B 2222222222222222 416129, 422324, 428587, 434920, 441324,
  447800, 454349 | 7144893
73/75 | 494811/505630 | B 2222222222222222 454349, 453121, 451881, 450630, 449366,
  448089, 446799 | 1662155
494811/505630 | 705051/716830 | B 2222222222222222 446799, 445585, 444358, 443120,
  441870, 440607, 439332 | 1539980
705051/716830 | 536859/544030 | B 2222222222222222 439332, 438497, 437657, 436811,
  435960, 435103, 434240 | 993968
536859/544030 | 99/100 | B 2222222222222222 434240, 433396, 432547, 431691,
  430831, 429964, 429092 | 961301
99/100 | 578907/582430 | S 11/25 | 1159565
578907/582430 | 152223/152966 | B 2222222222222222 422454, 422113, 421772, 421429,
  421086, 420742, 420397 | 351494
152223/152966 | 124191/124166 | B 2222222222222222 420397, 418932, 417451, 415954,
  414440, 412909, 411361 | 1472793
124191/124166 | 817179/812830 | B 2222222222222222 411361, 409785, 408191, 406578,
  404947, 403297, 401627 | 1465324
817179/812830 | 60273/59930 | B 2222222222222222 401627, 401506, 401385, 401264,
  401143, 401022, 400900 | 104743
60273/59930 | 705051/697630 | B 2222222222222222 400900, 399300, 397682, 396046,
  394391, 392717, 391024 | 1362219
705051/697630 | 873243/860830 | B 2222222222222222 391024, 389721, 388406, 387127,
  385938, 384734, 383652 | 1025248
873243/860830 | 747099/736030 | B 2222222222222222 383652, 383477, 383301, 383125,
  382948, 382771, 382594 | 166004
747099/736030 | 789147/774430 | B 0222222222222222 383349, 381542, 380542, 379564,
  378676, 377762, 376977 | 1054025
789147/774430 | 929307/908830 | B 0022222222222222 376977, 376280, 375644, 375042,
  374419, 373910, 373367 | 926198
929307/908830 | 166239/162566 | B 0002222222222222 373367, 373358, 373348, 373338,
  373329, 373319, 373309 | 16395
166239/162566 | 873243/851230 | B 0000222222222222 373309, 372885, 372496, 372076,
  371744, 371407, 371035 | 850863
873243/851230 | 915291/889630 | B 0000002222222222 371035, 370837, 370608, 370346,
  370194, 370013, 369788 | 773789
915291/889630 | 985371/956830 | B 0000000022222222 369788, 369741, 369719, 369693,
  369661, 369625, 369584 | 254675
985371/956830 | 18063/17510 | B 0000000002222222 369584, 369510, 369419, 369385,
  369376, 369347, 369295 | 453376
18063/17510 | 999387/966430 | B 0000000000022222 369295, 369221, 369233, 369279,
  369271, 369186, 369208 | 651303
999387/966430 | 1008731/972830 | B 0000000000000002 370327, 369426, 369427,
  369367, 369030, 368175, 366375 | 723480
1008731/972830 | 976027/940830 | B 000000000000000- 366375, 366165, 365887,
  365562, 365202, 364818, 364418 | 129690
976027/940830 | 943323/908830 | B 00000000000000-- 364418, 363990, 363543, 363085,
  362624, 362160, 361696 | 137905
943323/908830 | 53337/51370 | B 0000000000000--- 361696, 361407, 361118, 360829,
  360540, 360252, 359964 | 85281
53337/51370 | 910619/876830 | B 0000000000000--- 359964, 359755, 359546, 359338,
  359129, 358921, 358713 | 61520
910619/876830 | 175583/168966 | B 000000000000---- 358713, 358180, 357648, 357116,
  356586, 356056, 355526 | 156569
175583/168966 | 845211/812830 | B 00000000000----- 355526, 354956, 354386, 353817,
  353249, 352682, 352116 | 167337
845211/812830 | 26/25 | B 0000000000------ 352116, 351979, 351843, 351707, 351571,
  351435, 351299 | 40042
Exact integer sum of the last column: 78294000; hence this whole slope row is
  bounded by 78294000/10^8 < 789/1000.

Case prime3,  slope row 6: a in [7241/14400, 3789/6400].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 5137/212184 | S 1 | 1
5137/212184 | 5137/106092 | S 1 | 1
5137/106092 | 5137/70728 | S 1 | 2
5137/70728 | 5137/53046 | S 1 | 7
5137/53046 | 25685/212184 | S 1 | 31
25685/212184 | 5137/35364 | S 1 | 99
5137/35364 | 5137/30312 | S 1 | 266
5137/30312 | 5137/26523 | S 1 | 621
5137/26523 | 5137/23576 | S 1 | 1310
5137/23576 | 25685/106092 | S 1 | 2544
25685/106092 | 56507/212184 | S 1 | 4626
56507/212184 | 5137/17682 | S 1 | 7969
5137/17682 | 66781/212184 | S 1 | 13123
66781/212184 | 5137/15156 | S 1 | 20800
5137/15156 | 25685/70728 | S 1 | 31906
25685/70728 | 10274/26523 | S 1 | 47569
10274/26523 | 87329/212184 | S 1 | 69179
87329/212184 | 5137/11788 | S 1 | 98419
5137/11788 | 97603/212184 | S 1 | 137307
97603/212184 | 25685/53046 | S 1 | 188240
25685/53046 | 5137/10104 | S 1 | 254033
5137/10104 | 56507/106092 | S 1 | 337972
56507/106092 | 118151/212184 | S 1 | 443857
118151/212184 | 5137/8841 | S 1 | 576058
5137/8841 | 128425/212184 | S 1 | 739566
128425/212184 | 66781/106092 | S 1 | 940053
66781/106092 | 15411/23576 | S 1 | 1183926
15411/23576 | 5137/7578 | S 1 | 1478394
5137/7578 | 15411/22574 | S 1 | 333381
15411/22574 | 15411/22414 | S 1 | 352831
15411/22414 | 5137/7418 | B --------------02 105650, 106410, 107175, 107945,
  108721, 109502, 110289 | 373567
5137/7418 | 15411/22094 | B -------------002 110289, 111088, 111892, 112701,
  113517, 114338, 115164 | 395676
15411/22094 | 1401/1994 | B ------------0022 115164, 116003, 116848, 117699,
  118555, 119417, 120285 | 419248
1401/1994 | 5137/7258 | B -----------00222 120285, 121166, 122053, 122945, 123844,
  124748, 125658 | 444372
5137/7258 | 15411/21614 | B ----------000222 125658, 126581, 127511, 128446,
  129386, 130333, 131284 | 471122
15411/21614 | 15411/21454 | B ---------0002222 131284, 132250, 133222, 134199,
  135181, 136169, 137161 | 499561
15411/21454 | 5137/7098 | B --------00002222 137161, 138168, 139181, 140198,
  141219, 142245, 143275 | 529728
5137/7098 | 15411/21134 | B -------000022222 143275, 144321, 145371, 146424,
  147481, 148541, 149604 | 561621
15411/21134 | 15411/20974 | B ------0000022222 149604, 150683, 151765, 152849,
  153935, 155022, 156110 | 595195
15411/20974 | 5137/6938 | B -----00000222222 156110, 157215, 158320, 159426,
  160531, 161635, 162738 | 630331
5137/6938 | 15411/20654 | B ----000002222222 162738, 163857, 164975, 166090,
  167202, 168309, 169411 | 666830
15411/20654 | 15411/20494 | B ---0000002222222 169411, 170530, 171644, 172751,
  173851, 174943, 176025 | 704372
15411/20494 | 5137/6778 | B --00000022222222 176025, 177124, 178212, 179290,
  180355, 181406, 182442 | 742497
5137/6778 | 1401/1834 | B -000000022222222 182442, 183494, 184530, 185549, 186548,
  187527, 188483 | 780553
1401/1834 | 5137/6618 | B 0000000222222222 188483, 190442, 192425, 194432, 196465,
  198522, 200604 | 1676170
5137/6618 | 5137/6458 | B 0000022222222222 200604, 203857, 207172, 210549, 213990,
  217496, 221067 | 2836082
5137/6458 | 5137/6298 | B 0000222222222222 221067, 224820, 228645, 232544, 236517,
  240567, 244694 | 3291630
5137/6298 | 467/558 | B 0022222222222222 244694, 249036, 253463, 257977, 262580,
  267272, 272054 | 3842169
467/558 | 5137/5978 | B 2222222222222222 274187, 278316, 282420, 286500, 290558,
  294595, 298612 | 4491609
5137/5978 | 5137/5818 | B 2222222222222222 298612, 302850, 307066, 311261, 315437,
  319596, 323738 | 5148367
5137/5818 | 9/10 | B 2222222222222222 323738, 326727, 329708, 332680, 335646,
  338604, 341557 | 3970490
9/10 | 46233/50810 | S 61/100 | 2326751
46233/50810 | 230748903/249019810 | B 2222222222222222 354415, 358052, 361708,
  365384, 369079, 372794, 376528 | 4274197
230748903/249019810 | 46233/49010 | B 2222222222222222 376528, 380263, 384018,
  387794, 391590, 395407, 399246 | 4536344
46233/49010 | 1409041/1470300 | B 2222222222222222 399246, 402692, 406155, 409635,
  413133, 416649, 420184 | 4300859
1409041/1470300 | 73/75 | B 2222222222222222 420184, 423718, 427271, 430843,
  434433, 438042, 441670 | 4523524
73/75 | 35955/36638 | B 2222222222222222 441670, 439676, 437661, 435626, 433568,
  431488, 429384 | 2446827
35955/36638 | 51723/52478 | B 2222222222222222 429384, 428268, 427146, 426017,
  424881, 423737, 422587 | 1268810
51723/52478 | 195543/197590 | B 2222222222222222 422587, 421498, 420403, 419300,
  418192, 417076, 415953 | 1181971
195543/197590 | 99/100 | B 2222222222222222 415953, 415853, 415753, 415652,
  415552, 415451, 415351 | 104697
99/100 | 211311/211990 | B 2222222222222222 415351, 413450, 411530, 409589,
  407627, 405643, 403636 | 1948588
211311/211990 | 279639/280390 | B 2222222222222222 403636, 403481, 403326, 403171,
  403015, 402860, 402704 | 148044
279639/280390 | 227079/226390 | B 2222222222222222 402704, 401008, 399295, 397565,
  395819, 394055, 392273 | 1592226
227079/226390 | 300663/298390 | B 2222222222222222 392273, 390849, 389414, 387967,
  386508, 385037, 383554 | 1242151
300663/298390 | 2007/1990 | B 2222222222222222 383554, 383254, 382953, 382652,
  382351, 382049, 381746 | 247812
2007/1990 | 51723/51038 | B 2222222222222222 381746, 380151, 378542, 376919,
  375280, 373628, 372129 | 1287183
51723/51038 | 321687/316390 | B 2222222222222222 372129, 371121, 370178, 369279,
  368370, 367553, 366748 | 858507
321687/316390 | 274383/269590 | B 2222222222222222 366748, 366496, 366243, 365989,
  365769, 365553, 365335 | 265656
274383/269590 | 290151/283990 | B 2222222222222222 365335, 364511, 363729, 363015,
  362281, 361671, 361033 | 995174
290151/283990 | 342711/334390 | B 0222222222222222 361033, 360584, 360173, 359741,
  359368, 359023, 358655 | 803349
342711/334390 | 305919/298390 | B 0022222222222222 358655, 358614, 358574, 358533,
  358500, 358473, 358446 | 87332
305919/298390 | 10377/10090 | B 0002222222222222 358446, 358196, 357922, 357658,
  357471, 357254, 357036 | 804261
10377/10090 | 67491/65438 | B 0000002222222222 357036, 356943, 356826, 356682,
  356618, 356559, 356467 | 731461
67491/65438 | 72747/70478 | B 0000000222222222 356467, 356441, 356412, 356393,
  356402, 356409, 356414 | 204894
72747/70478 | 353223/341590 | B 0000000022222222 356414, 356425, 356423, 356408,
  356375, 356322, 356439 | 464285
353223/341590 | 368991/355990 | B 0000000000022222 356439, 356503, 356544, 356551,
  356511, 356403, 356804 | 615265
368991/355990 | 74499/71678 | B 0000000000000002 357612, 356898, 356931, 356830,
  356463, 355594, 353814 | 707309
74499/71678 | 360231/346390 | B 000000000000000- 353814, 353567, 353231, 352836,
  352401, 351941, 351466 | 148473
360231/346390 | 26/25 | B 00000000000000-- 351466, 351433, 351399, 351366, 351332,
  351298, 351265 | 10367
Exact integer sum of the last column: 78461598; hence this whole slope row is
  bounded by 78461598/10^8 < 789/1000.

Case prime3,  slope row 7: a in [3789/6400, 19619/28800].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 138699/5689510 | S 1 | 1
138699/5689510 | 138699/2844755 | S 1 | 1
138699/2844755 | 416097/5689510 | S 1 | 2
416097/5689510 | 277398/2844755 | S 1 | 8
277398/2844755 | 138699/1137902 | S 1 | 32
138699/1137902 | 416097/2844755 | S 1 | 104
416097/2844755 | 970893/5689510 | S 1 | 279
970893/5689510 | 554796/2844755 | S 1 | 652
554796/2844755 | 1248291/5689510 | S 1 | 1375
1248291/5689510 | 138699/568951 | S 1 | 2670
138699/568951 | 1525689/5689510 | S 1 | 4855
1525689/5689510 | 832194/2844755 | S 1 | 8364
832194/2844755 | 1803087/5689510 | S 1 | 13773
1803087/5689510 | 970893/2844755 | S 1 | 21831
970893/2844755 | 416097/1137902 | S 1 | 33487
416097/1137902 | 1109592/2844755 | S 1 | 49927
1109592/2844755 | 2357883/5689510 | S 1 | 72608
2357883/5689510 | 1248291/2844755 | S 1 | 103297
1248291/2844755 | 2635281/5689510 | S 1 | 144113
2635281/5689510 | 277398/568951 | S 1 | 197570
277398/568951 | 2912679/5689510 | S 1 | 266625
2912679/5689510 | 1525689/2844755 | S 1 | 354725
1525689/2844755 | 138699/247370 | S 1 | 465859
138699/247370 | 1664388/2844755 | S 1 | 604612
1664388/2844755 | 693495/1137902 | S 1 | 776225
693495/1137902 | 1803087/2844755 | S 1 | 986649
1803087/2844755 | 3744873/5689510 | S 1 | 1242611
3744873/5689510 | 1941786/2844755 | S 1 | 1551676
1941786/2844755 | 138699/196190 | S 1 | 1922315
138699/196190 | 138699/194990 | S 1 | 387319
138699/194990 | 138699/193790 | S 1 | 406866
138699/193790 | 138699/192590 | B --------------02 134417, 135254, 136097, 136944,
  137797, 138656, 139519 | 427529
138699/192590 | 138699/191390 | B -------------002 139519, 140393, 141273, 142158,
  143048, 143944, 144845 | 449370
138699/191390 | 12609/17290 | B ------------0022 144845, 145757, 146675, 147598,
  148527, 149461, 150400 | 472453
12609/17290 | 138699/188990 | B -----------00222 150400, 151351, 152307, 153269,
  154236, 155208, 156185 | 496833
138699/188990 | 138699/187790 | B ----------000222 156185, 157175, 158170, 159170,
  160174, 161184, 162198 | 522551
138699/187790 | 138699/186590 | B ---------0002222 162198, 163224, 164256, 165292,
  166332, 167377, 168425 | 549625
138699/186590 | 138699/185390 | B --------00002222 168425, 169486, 170551, 171620,
  172692, 173767, 174845 | 578047
138699/185390 | 138699/184190 | B -------000022222 174845, 175936, 177030, 178126,
  179224, 180323, 181423 | 607766
138699/184190 | 138699/182990 | B ------0000022222 181423, 182537, 183652, 184768,
  185882, 186996, 188109 | 638680
138699/182990 | 138699/181790 | B -----00000222222 188109, 189236, 190361, 191484,
  192604, 193719, 194830 | 670615
138699/181790 | 138699/180590 | B ----000002222222 194830, 195956, 197077, 198192,
  199301, 200401, 201493 | 703309
138699/180590 | 138699/179390 | B ---0000002222222 201493, 202599, 203696, 204783,
  205858, 206921, 207970 | 736387
138699/179390 | 138699/178190 | B --00000022222222 207970, 209032, 210081, 211113,
  212128, 213124, 214100 | 769334
138699/178190 | 12609/16090 | B -000000022222222 214100, 215088, 216056, 217001,
  217921, 218814, 219678 | 801462
12609/16090 | 138699/174590 | B 0000000222222222 219678, 221443, 223227, 225029,
  226851, 228691, 230551 | 1697175
138699/174590 | 138699/170990 | B 0000022222222222 230551, 233439, 236373, 239354,
  242382, 245458, 248582 | 2803470
138699/170990 | 138699/167390 | B 0000222222222222 248582, 251841, 255152, 258516,
  261934, 265406, 268933 | 3158214
138699/167390 | 12609/14890 | B 0022222222222222 268933, 272615, 276356, 280157,
  284019, 287943, 291928 | 3573116
12609/14890 | 138699/160190 | B 2222222222222222 294216, 297399, 300523, 303590,
  306603, 309563, 312473 | 4042804
138699/160190 | 138699/156590 | B 2222222222222222 312473, 315516, 318504, 321438,
  324321, 327154, 329940 | 4477470
138699/156590 | 9/10 | B 2222222222222222 329940, 331935, 333905, 335852, 337775,
  339677, 341557 | 3350553
9/10 | 5137/5658 | S 61/100 | 1844918
5137/5658 | 14327093/15553842 | B 2222222222222222 349763, 352040, 354314, 356585,
  358853, 361119, 363382 | 3297511
14327093/15553842 | 5137/5498 | B 2222222222222222 363382, 365646, 367907, 370166,
  372424, 374680, 376934 | 3423124
5137/5498 | 13916133/14674162 | B 2222222222222222 376934, 379324, 381712, 384099,
  386486, 388871, 391256 | 3764920
13916133/14674162 | 5137/5338 | B 2222222222222222 391256, 393641, 396026, 398410,
  400795, 403180, 405566 | 3905217
5137/5338 | 73/75 | B 2222222222222222 405566, 407438, 409310, 411183, 413057,
  414931, 416806 | 3162634
73/75 | 100459/102910 | B 2222222222222222 416806, 416010, 415212, 414413, 413614,
  412813, 412011 | 826675
100459/102910 | 13551/13862 | B 2222222222222222 412011, 411622, 411233, 410844,
  410454, 410064, 409674 | 397304
13551/13862 | 74763/75710 | B 2222222222222222 409674, 406870, 404053, 401220,
  398370, 395503, 392617 | 2787857
74763/75710 | 99/100 | B 2222222222222222 392617, 391888, 391158, 390426, 389693,
  388959, 388224 | 685498
99/100 | 36601/36970 | B 2222222222222222 388224, 388218, 388213, 388207, 388202,
  388196, 388191 | 5146
36601/36970 | 27257/27370 | B 2222222222222222 388191, 386475, 384752, 383022,
  381285, 379540, 377788 | 1569075
27257/27370 | 119147/118910 | B 2222222222222222 377788, 375954, 374112, 372261,
  370401, 368531, 366652 | 1595134
119147/118910 | 88779/88510 | B 2222222222222222 366652, 366331, 366009, 365688,
  365366, 365043, 364721 | 267782
88779/88510 | 95787/94910 | B 2222222222222222 364721, 362808, 360886, 358952,
  357008, 355053, 353086 | 1558043
95787/94910 | 128491/126910 | B 2222222222222222 353086, 352065, 351042, 350015,
  348985, 347952, 346916 | 788262
128491/126910 | 623/614 | B 2222222222222222 346916, 346207, 345524, 344894,
  344261, 343626, 343002 | 531256
623/614 | 109803/107710 | B 2222222222222222 343002, 341795, 340598, 339535,
  338485, 337557, 336641 | 1135032
109803/107710 | 3063/2998 | B 2222222222222222 336641, 336273, 335901, 335524,
  335155, 334845, 334530 | 528335
3063/2998 | 116811/114110 | B 2222222222222222 334530, 334252, 333969, 333724,
  333501, 333273, 333040 | 464694
116811/114110 | 41273/40170 | B 2222222222222222 333040, 332640, 332307, 331958,
  331683, 331422, 331165 | 880450
41273/40170 | 147179/142910 | B 2222222222222222 331165, 331060, 330950, 330833,
  330710, 330580, 330441 | 558938
147179/142910 | 130827/126910 | B 2222222222222222 330441, 330384, 330325, 330265,
  330206, 330313, 330419 | 229489
130827/126910 | 27567/26662 | B 0222222222222222 330419, 330317, 330204, 330078,
  329936, 329852, 330203 | 711571
27567/26662 | 48281/46570 | B 0002222222222222 330203, 330137, 330059, 329967,
  329856, 330068, 330405 | 646291
48281/46570 | 156523/150910 | B 0000022222222222 330405, 330399, 330391, 330384,
  330376, 330367, 330358 | 104988
156523/150910 | 151851/146110 | B 0000002222222222 330358, 330317, 330263, 330196,
  330394, 330674, 330941 | 485289
151851/146110 | 26/25 | B 0000000022222222 330941, 330936, 330930, 330922, 330912,
  330900, 330885 | 163931
Exact integer sum of the last column: 77466558; hence this whole slope row is
  bounded by 77466558/10^8 < 789/1000.

Case prime3,  slope row 8: a in [19619/28800, 2063/2400].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 5137/206300 | S 1 | 1
5137/206300 | 5137/103150 | S 1 | 1
5137/103150 | 15411/206300 | S 1 | 2
15411/206300 | 5137/51575 | S 1 | 9
5137/51575 | 5137/41260 | S 1 | 37
5137/41260 | 15411/103150 | S 1 | 120
15411/103150 | 35959/206300 | S 1 | 323
35959/206300 | 10274/51575 | S 1 | 756
10274/51575 | 46233/206300 | S 1 | 1595
46233/206300 | 5137/20630 | S 1 | 3097
5137/20630 | 56507/206300 | S 1 | 5632
56507/206300 | 15411/51575 | S 1 | 9702
15411/51575 | 66781/206300 | S 1 | 15977
66781/206300 | 35959/103150 | S 1 | 25325
35959/103150 | 15411/41260 | S 1 | 38847
15411/41260 | 20548/51575 | S 1 | 57919
20548/51575 | 87329/206300 | S 1 | 84230
87329/206300 | 46233/103150 | S 1 | 119831
46233/103150 | 97603/206300 | S 1 | 167181
97603/206300 | 5137/10315 | S 1 | 229195
5137/10315 | 107877/206300 | S 1 | 309303
107877/206300 | 56507/103150 | S 1 | 411505
56507/103150 | 118151/206300 | S 1 | 540427
118151/206300 | 30822/51575 | S 1 | 701391
30822/51575 | 5137/8252 | S 1 | 900473
5137/8252 | 66781/103150 | S 1 | 1144579
66781/103150 | 138699/206300 | S 1 | 1441512
138699/206300 | 35959/51575 | S 1 | 1800048
35959/51575 | 148973/206300 | S 1 | 2230014
148973/206300 | 15411/20630 | S 1 | 2742370
15411/20630 | 15411/20530 | S 1 | 449140
15411/20530 | 5137/6810 | S 1 | 466988
5137/6810 | 15411/20330 | B --------------02 184236, 185142, 186053, 186968,
  187887, 188811, 189739 | 485636
15411/20330 | 15411/20230 | B -------------002 189739, 190676, 191618, 192564,
  193515, 194470, 195429 | 505116
15411/20230 | 467/610 | B ------------0022 195429, 196398, 197371, 198348, 199330,
  200316, 201306 | 525457
467/610 | 15411/20030 | B -----------00222 201306, 202305, 203309, 204317, 205329,
  206345, 207364 | 546671
15411/20030 | 15411/19930 | B ----------000222 207364, 208393, 209426, 210462,
  211502, 212544, 213589 | 568759
15411/19930 | 5137/6610 | B ---------0002222 213589, 214645, 215704, 216765,
  217828, 218893, 219960 | 591693
5137/6610 | 15411/19730 | B --------00002222 219960, 221038, 222117, 223197,
  224277, 225359, 226439 | 615418
15411/19730 | 15411/19630 | B -------000022222 226439, 227531, 228623, 229714,
  230803, 231891, 232976 | 639829
15411/19630 | 5137/6510 | B ------0000022222 232976, 234072, 235166, 236256,
  237342, 238424, 239499 | 664775
5137/6510 | 15411/19430 | B -----00000222222 239499, 240586, 241667, 242741,
  243808, 244866, 245915 | 690034
15411/19430 | 15411/19330 | B ----000002222222 245915, 246974, 248024, 249063,
  250089, 251103, 252101 | 715304
15411/19330 | 5137/6410 | B ---0000002222222 252101, 253110, 254105, 255082,
  256043, 256984, 257904 | 740182
5137/6410 | 15411/19130 | B --00000022222222 257904, 258834, 259742, 260628,
  261489, 262324, 263130 | 764142
15411/19130 | 1401/1730 | B -000000022222222 263130, 263945, 264731, 265485,
  266207, 266893, 267542 | 786516
1401/1730 | 15411/18830 | B 0000000222222222 267542, 268860, 270190, 271532,
  272886, 274252, 275630 | 1635043
15411/18830 | 15411/18530 | B 0000022222222222 275630, 277753, 279904, 282084,
  284292, 286528, 288793 | 2616917
15411/18530 | 15411/18230 | B 0000222222222222 288793, 291132, 293502, 295902,
  298332, 300792, 303282 | 2835465
15411/18230 | 1401/1630 | B 0022222222222222 303282, 305855, 308460, 311097,
  313767, 316467, 319200 | 3080836
1401/1630 | 15411/17630 | B 2222222222222222 321702, 323446, 325100, 326665,
  328147, 329547, 330869 | 3342691
15411/17630 | 15411/17330 | B 2222222222222222 330869, 332237, 333521, 334725,
  335852, 336905, 337888 | 3543950
15411/17330 | 9/10 | B 2222222222222222 337888, 338585, 339246, 339873, 340466,
  341027, 341557 | 2552957
9/10 | 138699/152990 | S 61/100 | 1528376
138699/152990 | 138699/149390 | B 2222222222222222 346702, 349508, 352267, 354980,
  357649, 360278, 362867 | 5427337
138699/149390 | 138699/145790 | B 2222222222222222 362867, 365584, 368258, 370892,
  373487, 376047, 378572 | 5950895
138699/145790 | 73/75 | B 2222222222222222 378572, 380993, 383383, 385744, 388077,
  390386, 392671 | 5932000
73/75 | 428949/437410 | B 2222222222222222 392671, 390400, 388132, 385864, 383599,
  381334, 379070 | 1978064
428949/437410 | 281781/286210 | B 2222222222222222 379070, 377874, 376678, 375483,
  374287, 373092, 371896 | 1016857
281781/286210 | 99/100 | B 2222222222222222 371896, 370205, 368513, 366822,
  365130, 363438, 361746 | 1405754
99/100 | 313317/315010 | B 2222222222222222 361746, 360316, 358886, 357455,
  356024, 354593, 353161 | 1157401
313317/315010 | 470997/473410 | B 2222222222222222 353161, 353075, 352989, 352903,
  352817, 352732, 352646 | 68520
470997/473410 | 344853/343810 | B 2222222222222222 352646, 350128, 347609, 345087,
  342563, 340035, 337504 | 1964033
344853/343810 | 102609/101882 | B 2222222222222222 337504, 336228, 334950, 333671,
  332391, 331110, 329828 | 958110
102609/101882 | 376389/372610 | B 2222222222222222 329828, 328889, 327949, 327008,
  326067, 325125, 324182 | 688149
376389/372610 | 81585/80282 | B 2222222222222222 324182, 322273, 320361, 318496,
  316789, 315239, 313787 | 1358381
81585/80282 | 555093/545410 | B 2222222222222222 313787, 313457, 313127, 312795,
  312463, 312155, 311870 | 333557
555093/545410 | 39951/39110 | B 2222222222222222 311870, 311167, 310490, 309889,
  309282, 308774, 308261 | 813615
39951/39110 | 470997/459010 | B 2222222222222222 308261, 307732, 307215, 306688,
  306151, 305601, 305521 | 990156
470997/459010 | 597141/581410 | B 2222222222222222 305521, 305431, 305339, 305248,
  305156, 305063, 304970 | 201224
597141/581410 | 502533/487810 | B 2222222222222222 304970, 304662, 304347, 304027,
  303700, 303751, 303894 | 665464
502533/487810 | 534069/516610 | B 2222222222222222 303894, 303591, 303281, 302961,
  302695, 302903, 303100 | 766936
534069/516610 | 22041/21290 | B 2222222222222222 303100, 302994, 302885, 302775,
  302662, 302548, 302431 | 313556
22041/21290 | 113121/109082 | B 2222222222222222 302431, 302371, 302492, 302611,
  302728, 302841, 302951 | 371236
113121/109082 | 597141/574210 | B 2222222222222222 302951, 302772, 302584, 302654,
  302880, 303097, 303303 | 616498
597141/574210 | 26/25 | B 2222222222222222 303303, 303300, 303296, 303293, 303290,
  303286, 303283 | 13829
Exact integer sum of the last column: 76864869; hence this whole slope row is
  bounded by 76864869/10^8 < 789/1000.

Case prime3,  slope row 9: a in [2063/2400, 5663/3600].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 1401/56630 | S 1 | 1
1401/56630 | 1401/28315 | S 1 | 1
1401/28315 | 4203/56630 | S 1 | 2
4203/56630 | 2802/28315 | S 1 | 9
2802/28315 | 1401/11326 | S 1 | 36
1401/11326 | 4203/28315 | S 1 | 115
4203/28315 | 1401/8090 | S 1 | 309
1401/8090 | 5604/28315 | S 1 | 723
5604/28315 | 12609/56630 | S 1 | 1524
12609/56630 | 1401/5663 | S 1 | 2960
1401/5663 | 15411/56630 | S 1 | 5382
15411/56630 | 8406/28315 | S 1 | 9271
8406/28315 | 18213/56630 | S 1 | 15268
18213/56630 | 1401/4045 | S 1 | 24200
1401/4045 | 4203/11326 | S 1 | 37122
4203/11326 | 11208/28315 | S 1 | 55346
11208/28315 | 23817/56630 | S 1 | 80489
23817/56630 | 12609/28315 | S 1 | 114509
12609/28315 | 26619/56630 | S 1 | 159755
26619/56630 | 2802/5663 | S 1 | 219015
2802/5663 | 4203/8090 | S 1 | 295565
4203/8090 | 15411/28315 | S 1 | 393227
15411/28315 | 32223/56630 | S 1 | 516423
32223/56630 | 16812/28315 | S 1 | 670237
16812/28315 | 7005/11326 | S 1 | 860477
7005/11326 | 18213/28315 | S 1 | 1093741
18213/28315 | 37827/56630 | S 1 | 1377485
37827/56630 | 2802/4045 | S 1 | 1720096
2802/4045 | 40629/56630 | S 1 | 2130965
40629/56630 | 4203/5663 | S 1 | 2620564
4203/5663 | 43431/56630 | S 1 | 3200527
43431/56630 | 22416/28315 | S 1 | 3883732
22416/28315 | 46233/56630 | S 1 | 4684389
46233/56630 | 46233/56480 | S 1 | 452997
46233/56480 | 46233/56330 | S 1 | 462725
46233/56330 | 46233/56180 | B --------------02 305685, 306501, 307319, 308139,
  308961, 309785, 310611 | 472686
46233/56180 | 46233/56030 | B -------------002 310611, 311442, 312274, 313109,
  313945, 314783, 315622 | 482880
46233/56030 | 4203/5080 | B ------------0022 315622, 316466, 317311, 318158,
  319006, 319856, 320706 | 493300
4203/5080 | 46233/55730 | B -----------00222 320706, 321561, 322417, 323273,
  324130, 324988, 325845 | 503927
46233/55730 | 46233/55580 | B ----------000222 325845, 326707, 327569, 328430,
  329291, 330151, 331009 | 514725
46233/55580 | 46233/55430 | B ---------0002222 331009, 331872, 332733, 333592,
  334449, 335303, 336154 | 525640
46233/55430 | 46233/55280 | B --------00002222 336154, 337009, 337861, 338708,
  339551, 340388, 341219 | 536590
46233/55280 | 46233/55130 | B -------000022222 341219, 342055, 342885, 343707,
  344522, 345328, 346125 | 547463
46233/55130 | 46233/54980 | B ------0000022222 346125, 346926, 347717, 348497,
  349266, 350023, 350765 | 558110
46233/54980 | 46233/54830 | B -----00000222222 350765, 351512, 352244, 352961,
  353662, 354345, 355009 | 568336
46233/54830 | 46233/54680 | B ----000002222222 355009, 355676, 356324, 356952,
  357557, 358137, 358693 | 577896
46233/54680 | 46233/54530 | B ---0000002222222 358693, 359251, 359783, 360288,
  360763, 361206, 361616 | 586484
46233/54530 | 46233/54380 | B --00000022222222 361616, 362029, 362407, 362750,
  363055, 363319, 363540 | 593722
46233/54380 | 4203/4930 | B -000000022222222 363540, 363763, 363943, 364077,
  364162, 364197, 364178 | 599157
4203/4930 | 46233/53930 | B 0000000222222222 364178, 364141, 364110, 364087,
  364071, 364062, 364060 | 1208715
46233/53930 | 46233/53480 | B 0000022222222222 364060, 364057, 364069, 364097,
  364139, 364196, 364266 | 1838624
46233/53480 | 46233/53030 | B 0000222222222222 364266, 364337, 364422, 364521,
  364632, 364756, 364891 | 1871986
46233/53030 | 4203/4780 | B 0022222222222222 364891, 365029, 365179, 365341,
  365513, 365696, 365888 | 1908290
4203/4780 | 46233/52130 | B 2222222222222222 368757, 367699, 366532, 365261,
  363893, 362433, 360887 | 1939661
46233/52130 | 46233/51680 | B 2222222222222222 360887, 359314, 357652, 355908,
  354086, 352193, 350233 | 1923098
46233/51680 | 9/10 | B 2222222222222222 350233, 348862, 347459, 346026, 344563,
  343073, 341557 | 1307421
9/10 | 15411/17030 | S 61/100 | 1137875
15411/17030 | 15411/16730 | B 2222222222222222 342919, 343613, 344240, 344803,
  345304, 345747, 346135 | 3915217
15411/16730 | 15411/16430 | B 2222222222222222 346135, 346538, 346881, 347168,
  347402, 347587, 347724 | 4086240
15411/16430 | 15411/16130 | B 2222222222222222 347724, 347867, 347959, 348004,
  348005, 347964, 347885 | 4248659
15411/16130 | 73/75 | B 2322222222222222 347885, 347803, 347681, 347521, 347326,
  347099, 346842 | 4355667
73/75 | 99/100 | B 2322222222222222 346842, 340730, 334703, 328758, 322894,
  317109, 311399 | 3837392
99/100 | 17001/17170 | B 2322222222222222 311399, 311345, 311292, 311238, 311184,
  311130, 311076 | 34260
17001/17170 | 31893/32170 | B 2322222222222222 311076, 310654, 310233, 309812,
  309391, 308971, 308551 | 267235
31893/32170 | 19629/19570 | B 2222222222222222 308551, 304591, 300667, 296779,
  292926, 289107, 285323 | 2415678
19629/19570 | 35397/35170 | B 2222222222222222 285323, 284203, 283086, 281972,
  280861, 279753, 278648 | 678914
35397/35170 | 22257/21970 | B 2222222222222222 278648, 276524, 274411, 272308,
  270216, 268310, 266671 | 1260377
22257/21970 | 38901/38170 | B 2222222222222222 266671, 265287, 263905, 262524,
  261145, 259767, 258390 | 1118767
38901/38170 | 4977/4874 | B 2222222222222222 258390, 257942, 257602, 257411,
  257220, 257027, 256835 | 357129
4977/4874 | 27513/26770 | B 2222222222222222 256835, 255496, 254157, 252817,
  251691, 251173, 250647 | 1174032
27513/26770 | 8481/8234 | B 2222222222222222 250647, 250240, 249833, 249425,
  249016, 248607, 248198 | 391555
8481/8234 | 30141/29170 | B 2222222222222222 248198, 247967, 247765, 247749,
  247894, 248040, 248186 | 571088
30141/29170 | 2979/2870 | B 2222222222222222 248186, 248393, 248601, 248809,
  249017, 249226, 249434 | 817098
2979/2870 | 45909/44170 | B 2222222222222222 249434, 249496, 249558, 249620,
  249682, 249744, 249806 | 243146
45909/44170 | 26/25 | B 2222222222222222 249806, 249834, 249862, 249890, 249918,
  249946, 249974 | 110095
Exact integer sum of the last column: 75668322; hence this whole slope row is
  bounded by 75668322/10^8 < 789/1000.

Case prime3,  slope row 10: a in [5663/3600, 3].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 5137/210000 | S 1 | 1
5137/210000 | 5137/105000 | S 1 | 1
5137/105000 | 5137/70000 | S 1 | 2
5137/70000 | 5137/52500 | S 1 | 8
5137/52500 | 5137/42000 | S 1 | 33
5137/42000 | 5137/35000 | S 1 | 106
5137/35000 | 5137/30000 | S 1 | 285
5137/30000 | 5137/26250 | S 1 | 668
5137/26250 | 15411/70000 | S 1 | 1408
15411/70000 | 5137/21000 | S 1 | 2735
5137/21000 | 56507/210000 | S 1 | 4973
56507/210000 | 5137/17500 | S 1 | 8567
5137/17500 | 66781/210000 | S 1 | 14108
66781/210000 | 5137/15000 | S 1 | 22362
5137/15000 | 5137/14000 | S 1 | 34302
5137/14000 | 5137/13125 | S 1 | 51142
5137/13125 | 87329/210000 | S 1 | 74375
87329/210000 | 15411/35000 | S 1 | 105811
15411/35000 | 97603/210000 | S 1 | 147620
97603/210000 | 5137/10500 | S 1 | 202379
5137/10500 | 5137/10000 | S 1 | 273114
5137/10000 | 56507/105000 | S 1 | 363358
56507/105000 | 118151/210000 | S 1 | 477196
118151/210000 | 5137/8750 | S 1 | 619326
5137/8750 | 5137/8400 | S 1 | 795116
5137/8400 | 66781/105000 | S 1 | 1010661
66781/105000 | 46233/70000 | S 1 | 1272852
46233/70000 | 5137/7500 | S 1 | 1589438
5137/7500 | 148973/210000 | S 1 | 1969097
148973/210000 | 5137/7000 | S 1 | 2421506
5137/7000 | 159247/210000 | S 1 | 2957415
159247/210000 | 10274/13125 | S 1 | 3588725
10274/13125 | 56507/70000 | S 1 | 4328564
56507/70000 | 87329/105000 | S 1 | 5191374
87329/105000 | 5137/6000 | S 1 | 6192991
5137/6000 | 15411/17975 | S 1 | 329678
15411/17975 | 15411/17950 | S 1 | 333367
15411/17950 | 5137/5975 | B --------------02 400496, 401054, 401613, 402173,
  402733, 403294, 403855 | 337101
5137/5975 | 15411/17900 | B -------------002 403855, 404417, 404981, 405544,
  406108, 406671, 407235 | 340875
15411/17900 | 1401/1625 | B ------------0022 407235, 407800, 408365, 408930,
  409495, 410059, 410621 | 344682
1401/1625 | 5137/5950 | B -----------00222 410621, 411186, 411749, 412312, 412873,
  413432, 413989 | 348504
5137/5950 | 15411/17825 | B ----------000222 413989, 414547, 415103, 415657,
  416207, 416755, 417298 | 352314
15411/17825 | 15411/17800 | B ---------0002222 417298, 417842, 418383, 418919,
  419450, 419975, 420494 | 356073
15411/17800 | 5137/5925 | B --------00002222 420494, 421014, 421528, 422034,
  422533, 423023, 423503 | 359726
5137/5925 | 15411/17750 | B -------000022222 423503, 423985, 424457, 424918,
  425368, 425805, 426229 | 363198
15411/17750 | 15411/17725 | B ------0000022222 426229, 426653, 427065, 427461,
  427841, 428204, 428548 | 366394
15411/17725 | 5137/5900 | B -----00000222222 428548, 428894, 429220, 429526,
  429811, 430073, 430310 | 369195
5137/5900 | 15411/17675 | B ----000002222222 430310, 430548, 430761, 430947,
  431105, 431233, 431330 | 371453
15411/17675 | 15411/17650 | B ---0000002222222 431330, 431426, 431490, 431520,
  431514, 431470, 431385 | 372987
15411/17650 | 5137/5875 | B --00000022222222 431385, 431300, 431174, 431005,
  430791, 430528, 430215 | 373582
5137/5875 | 1401/1600 | B -000000022222222 430215, 429901, 429536, 429117, 428642,
  428108, 427512 | 372983
1401/1600 | 5137/5850 | B 0000000222222222 427512, 426314, 425128, 423954, 422791,
  421640, 420499 | 740375
5137/5850 | 5137/5825 | B 0000022222222222 420499, 418777, 417079, 415405, 413755,
  412127, 410521 | 1096016
5137/5825 | 5137/5800 | B 0000222222222222 410521, 408902, 407304, 405727, 404171,
  402634, 401116 | 1079696
5137/5800 | 467/525 | B 0022222222222222 401116, 399585, 398073, 396579, 395102,
  393642, 392198 | 1064475
467/525 | 5137/5750 | B 2222222222222222 395272, 392465, 389557, 386557, 383473,
  380312, 377081 | 1046048
5137/5750 | 5137/5725 | B 2222222222222222 377081, 373823, 370493, 367099, 363649,
  360147, 356602 | 1002196
5137/5725 | 9/10 | B 2222222222222222 356602, 354141, 351659, 349158, 346639,
  344105, 341557 | 661657
9/10 | 46233/51230 | S 61/100 | 562719
46233/51230 | 46233/50780 | B 2222222222222222 337334, 335006, 332626, 330201,
  327735, 325232, 322696 | 1848058
46233/50780 | 46233/50330 | B 2222222222222222 322696, 320114, 317499, 314854,
  312183, 309490, 306780 | 1793829
46233/50330 | 46233/49880 | B 2222222222222222 306780, 304020, 301241, 298447,
  295642, 292828, 290008 | 1731182
46233/49880 | 46233/49430 | B 2322222222222222 290008, 287138, 284261, 281382,
  278504, 275629, 272760 | 1662049
46233/49430 | 46233/48530 | B 3322222222222222 270201, 260277, 250627, 241254,
  232161, 223348, 214813 | 2936087
46233/48530 | 4203/4330 | B 3322222222222222 214813, 205956, 197398, 189140,
  181177, 173507, 166124 | 2390779
4203/4330 | 73/75 | B 3322222222222222 166124, 165032, 163946, 162866, 161792,
  160725, 159664 | 303689
73/75 | 1791/1814 | B 3322222222222222 159664, 153851, 149936, 148281, 146645,
  145027, 143427 | 1464256
1791/1814 | 99/100 | B 3322222222222222 143427, 143121, 142815, 142510, 142205,
  141901, 141598 | 267268
99/100 | 203/200 | B 3322222222222222 141598, 138768, 135995, 133278, 130614,
  128004, 125446 | 2334258
203/200 | 26/25 | B 3322222222222222 125446, 122889, 120383, 117928, 115524,
  113168, 110860 | 2065495
Exact integer sum of the last column: 65463863; hence this whole slope row is
  bounded by 65463863/10^8 < 789/1000.

Case no_prime,	slope row 1: a in [263/1800, 7241/14400].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 46233/1882660 | S 1 | 1
46233/1882660 | 46233/941330 | S 1 | 1
46233/941330 | 138699/1882660 | S 1 | 2
138699/1882660 | 46233/470665 | S 1 | 8
46233/470665 | 46233/376532 | S 1 | 34
46233/376532 | 138699/941330 | S 1 | 109
138699/941330 | 323631/1882660 | S 1 | 293
323631/1882660 | 92466/470665 | S 1 | 686
92466/470665 | 416097/1882660 | S 1 | 1447
416097/1882660 | 46233/188266 | S 1 | 2810
46233/188266 | 508563/1882660 | S 1 | 5110
508563/1882660 | 138699/470665 | S 1 | 8804
138699/470665 | 46233/144820 | S 1 | 14498
46233/144820 | 323631/941330 | S 1 | 22980
323631/941330 | 138699/376532 | S 1 | 35249
138699/376532 | 184932/470665 | S 1 | 52554
184932/470665 | 785961/1882660 | S 1 | 76429
785961/1882660 | 416097/941330 | S 1 | 108733
416097/941330 | 878427/1882660 | S 1 | 151696
878427/1882660 | 46233/94133 | S 1 | 207967
46233/94133 | 970893/1882660 | S 1 | 280655
970893/1882660 | 508563/941330 | S 1 | 373391
508563/941330 | 1063359/1882660 | S 1 | 490373
1063359/1882660 | 277398/470665 | S 1 | 636428
277398/470665 | 231165/376532 | S 1 | 817071
231165/376532 | 46233/72410 | S 1 | 1038568
46233/72410 | 46233/71810 | S 1 | 259442
46233/71810 | 46233/71210 | S 1 | 277378
46233/71210 | 46233/70610 | S 1 | 296721
46233/70610 | 46233/70010 | B -------------002 78798, 79473, 80153, 80840, 81532,
  82230, 82934 | 317588
46233/70010 | 4203/6310 | B ------------0022 82934, 83650, 84372, 85100, 85834,
  86574, 87320 | 340103
4203/6310 | 46233/68810 | B -----------00222 87320, 88079, 88845, 89616, 90394,
  91178, 91968 | 364397
46233/68810 | 46233/68210 | B ----------000222 91968, 92772, 93583, 94399, 95222,
  96051, 96887 | 390596
46233/68210 | 46233/67610 | B ---------0002222 96887, 97737, 98593, 99456, 100325,
  101200, 102081 | 418821
46233/67610 | 46233/67010 | B --------00002222 102081, 102977, 103880, 104789,
  105703, 106623, 107549 | 449173
46233/67010 | 46233/66410 | B -------000022222 107549, 108491, 109439, 110392,
  111351, 112314, 113282 | 481735
46233/66410 | 46233/65810 | B ------0000022222 113282, 114268, 115258, 116253,
  117252, 118254, 119260 | 516548
46233/65810 | 46233/65210 | B -----00000222222 119260, 120284, 121312, 122343,
  123376, 124412, 125448 | 553595
46233/65210 | 46233/64610 | B ----000002222222 125448, 126504, 127562, 128620,
  129679, 130737, 131794 | 592786
46233/64610 | 46233/64010 | B ---0000002222222 131794, 132871, 133947, 135020,
  136091, 137159, 138221 | 633921
46233/64010 | 46233/63410 | B --00000022222222 138221, 139304, 140382, 141454,
  142519, 143577, 144625 | 676658
46233/63410 | 4203/5710 | B -000000022222222 144625, 145693, 146751, 147799,
  148834, 149856, 150862 | 720467
4203/5710 | 46233/61610 | B 0000000222222222 150862, 152934, 155037, 157172,
  159340, 161541, 163776 | 1578002
46233/61610 | 46233/59810 | B 0000022222222222 163776, 167295, 170898, 174585,
  178360, 182223, 186176 | 2762722
46233/59810 | 46233/58010 | B 0000222222222222 186176, 190375, 194676, 199082,
  203594, 208216, 212949 | 3346134
46233/58010 | 24003333/29643110 | B 0022222222222222 212949, 215468, 218018,
  220600, 223214, 225861, 228541 | 1971100
24003333/29643110 | 4203/5110 | B 0022222222222222 228541, 231221, 233935, 236682,
  239462, 242277, 245127 | 2114779
4203/5110 | 23246793/27803510 | B 0222222222222222 245127, 248165, 251242, 254360,
  257518, 260716, 263956 | 2423186
23246793/27803510 | 46233/54410 | B 2222222222222222 262963, 265637, 268320,
  271012, 273712, 276422, 279142 | 2581174
46233/54410 | 247392783/286251010 | B 2222222222222222 279142, 282048, 284964,
  287891, 290830, 293780, 296742 | 2929599
247392783/286251010 | 46233/52610 | B 2222222222222222 296742, 299703, 302676,
  305661, 308658, 311668, 314689 | 3110428
46233/52610 | 9/10 | B 2222222222222222 314689, 319099, 323535, 327998, 332489,
  337008, 341557 | 4871231
9/10 | 369/400 | S 61/100 | 5505117
369/400 | 189/200 | S 61/100 | 6372491
189/200 | 387/400 | S 61/100 | 7350884
387/400 | 99/100 | S 61/100 | 8451385
99/100 | 203/200 | S 11/25 | 7822301
203/200 | 26/25 | S 11/25 | 9067823
Exact integer sum of the last column: 83874182; hence this whole slope row is
  bounded by 83874182/10^8 < 169/200.

Case no_prime,	slope row 2: a in [7241/14400, 2063/2400].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 5137/206300 | S 1 | 1
5137/206300 | 5137/103150 | S 1 | 1
5137/103150 | 15411/206300 | S 1 | 2
15411/206300 | 5137/51575 | S 1 | 9
5137/51575 | 5137/41260 | S 1 | 37
5137/41260 | 15411/103150 | S 1 | 120
15411/103150 | 35959/206300 | S 1 | 323
35959/206300 | 10274/51575 | S 1 | 756
10274/51575 | 46233/206300 | S 1 | 1595
46233/206300 | 5137/20630 | S 1 | 3097
5137/20630 | 56507/206300 | S 1 | 5632
56507/206300 | 15411/51575 | S 1 | 9702
15411/51575 | 66781/206300 | S 1 | 15977
66781/206300 | 35959/103150 | S 1 | 25325
35959/103150 | 15411/41260 | S 1 | 38847
15411/41260 | 20548/51575 | S 1 | 57919
20548/51575 | 87329/206300 | S 1 | 84230
87329/206300 | 46233/103150 | S 1 | 119831
46233/103150 | 97603/206300 | S 1 | 167181
97603/206300 | 5137/10315 | S 1 | 229195
5137/10315 | 107877/206300 | S 1 | 309303
107877/206300 | 56507/103150 | S 1 | 411505
56507/103150 | 118151/206300 | S 1 | 540427
118151/206300 | 30822/51575 | S 1 | 701391
30822/51575 | 5137/8252 | S 1 | 900473
5137/8252 | 66781/103150 | S 1 | 1144579
66781/103150 | 138699/206300 | S 1 | 1441512
138699/206300 | 35959/51575 | S 1 | 1800048
35959/51575 | 148973/206300 | S 1 | 2230014
148973/206300 | 15411/20630 | S 1 | 2742370
15411/20630 | 15411/20530 | S 1 | 449140
15411/20530 | 5137/6810 | S 1 | 466988
5137/6810 | 15411/20330 | B --------------02 184236, 185142, 186053, 186968,
  187887, 188811, 189739 | 485636
15411/20330 | 15411/20230 | B -------------002 189739, 190676, 191618, 192564,
  193515, 194470, 195429 | 505116
15411/20230 | 467/610 | B ------------0022 195429, 196398, 197371, 198348, 199330,
  200316, 201306 | 525457
467/610 | 15411/20030 | B -----------00222 201306, 202305, 203309, 204317, 205329,
  206345, 207364 | 546671
15411/20030 | 15411/19930 | B ----------000222 207364, 208393, 209426, 210462,
  211502, 212544, 213589 | 568759
15411/19930 | 5137/6610 | B ---------0002222 213589, 214645, 215704, 216765,
  217828, 218893, 219960 | 591693
5137/6610 | 15411/19730 | B --------00002222 219960, 221038, 222117, 223197,
  224277, 225359, 226439 | 615418
15411/19730 | 15411/19630 | B -------000022222 226439, 227531, 228623, 229714,
  230803, 231891, 232976 | 639829
15411/19630 | 5137/6510 | B ------0000022222 232976, 234072, 235166, 236256,
  237342, 238424, 239499 | 664775
5137/6510 | 15411/19430 | B -----00000222222 239499, 240586, 241667, 242741,
  243808, 244866, 245915 | 690034
15411/19430 | 15411/19330 | B ----000002222222 245915, 246974, 248024, 249063,
  250089, 251103, 252101 | 715304
15411/19330 | 5137/6410 | B ---0000002222222 252101, 253110, 254105, 255082,
  256043, 256984, 257904 | 740182
5137/6410 | 15411/19130 | B --00000022222222 257904, 258834, 259742, 260628,
  261489, 262324, 263130 | 764142
15411/19130 | 1401/1730 | B -000000022222222 263130, 263945, 264731, 265485,
  266207, 266893, 267542 | 786516
1401/1730 | 15411/18830 | B 0000000222222222 267542, 268860, 270190, 271532,
  272886, 274252, 275630 | 1635043
15411/18830 | 15411/18530 | B 0000022222222222 275630, 277753, 279904, 282084,
  284292, 286528, 288793 | 2616917
15411/18530 | 15411/18230 | B 0000222222222222 288793, 291132, 293502, 295902,
  298332, 300792, 303282 | 2835465
15411/18230 | 1401/1630 | B 0022222222222222 303282, 305855, 308460, 311097,
  313767, 316467, 319200 | 3080836
1401/1630 | 15411/17630 | B 2222222222222222 321702, 323446, 325100, 326665,
  328147, 329547, 330869 | 3342691
15411/17630 | 15411/17330 | B 2222222222222222 330869, 332237, 333521, 334725,
  335852, 336905, 337888 | 3543950
15411/17330 | 9/10 | B 2222222222222222 337888, 338585, 339246, 339873, 340466,
  341027, 341557 | 2552957
9/10 | 46233/50810 | S 61/100 | 2326751
46233/50810 | 230748903/249019810 | B 2222222222222222 354415, 358052, 361708,
  365384, 369079, 372794, 376528 | 4274197
230748903/249019810 | 46233/49010 | B 2222222222222222 376528, 380263, 384018,
  387794, 391590, 395407, 399246 | 4536344
46233/49010 | 222426963/231376210 | B 2222222222222222 399246, 403378, 407534,
  411716, 415923, 420157, 424417 | 5183532
222426963/231376210 | 46233/47210 | B 2222222222222222 424417, 428677, 432964,
  437278, 441619, 445988, 450385 | 5505361
46233/47210 | 99/100 | B 2222222222222222 450385, 453000, 455625, 458260, 460905,
  463561, 466227 | 3430843
99/100 | 911889/908200 | S 11/25 | 4255533
911889/908200 | 46233/45410 | S 11/25 | 4628554
46233/45410 | 26/25 | S 11/25 | 8006038
Exact integer sum of the last column: 84492074; hence this whole slope row is
  bounded by 84492074/10^8 < 169/200.

Case no_prime,	slope row 3: a in [2063/2400, 5663/3600].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 1401/56630 | S 1 | 1
1401/56630 | 1401/28315 | S 1 | 1
1401/28315 | 4203/56630 | S 1 | 2
4203/56630 | 2802/28315 | S 1 | 9
2802/28315 | 1401/11326 | S 1 | 36
1401/11326 | 4203/28315 | S 1 | 115
4203/28315 | 1401/8090 | S 1 | 309
1401/8090 | 5604/28315 | S 1 | 723
5604/28315 | 12609/56630 | S 1 | 1524
12609/56630 | 1401/5663 | S 1 | 2960
1401/5663 | 15411/56630 | S 1 | 5382
15411/56630 | 8406/28315 | S 1 | 9271
8406/28315 | 18213/56630 | S 1 | 15268
18213/56630 | 1401/4045 | S 1 | 24200
1401/4045 | 4203/11326 | S 1 | 37122
4203/11326 | 11208/28315 | S 1 | 55346
11208/28315 | 23817/56630 | S 1 | 80489
23817/56630 | 12609/28315 | S 1 | 114509
12609/28315 | 26619/56630 | S 1 | 159755
26619/56630 | 2802/5663 | S 1 | 219015
2802/5663 | 4203/8090 | S 1 | 295565
4203/8090 | 15411/28315 | S 1 | 393227
15411/28315 | 32223/56630 | S 1 | 516423
32223/56630 | 16812/28315 | S 1 | 670237
16812/28315 | 7005/11326 | S 1 | 860477
7005/11326 | 18213/28315 | S 1 | 1093741
18213/28315 | 37827/56630 | S 1 | 1377485
37827/56630 | 2802/4045 | S 1 | 1720096
2802/4045 | 40629/56630 | S 1 | 2130965
40629/56630 | 4203/5663 | S 1 | 2620564
4203/5663 | 43431/56630 | S 1 | 3200527
43431/56630 | 22416/28315 | S 1 | 3883732
22416/28315 | 46233/56630 | S 1 | 4684389
46233/56630 | 46233/56480 | S 1 | 452997
46233/56480 | 46233/56330 | S 1 | 462725
46233/56330 | 46233/56180 | B --------------02 305685, 306501, 307319, 308139,
  308961, 309785, 310611 | 472686
46233/56180 | 46233/56030 | B -------------002 310611, 311442, 312274, 313109,
  313945, 314783, 315622 | 482880
46233/56030 | 4203/5080 | B ------------0022 315622, 316466, 317311, 318158,
  319006, 319856, 320706 | 493300
4203/5080 | 46233/55730 | B -----------00222 320706, 321561, 322417, 323273,
  324130, 324988, 325845 | 503927
46233/55730 | 46233/55580 | B ----------000222 325845, 326707, 327569, 328430,
  329291, 330151, 331009 | 514725
46233/55580 | 46233/55430 | B ---------0002222 331009, 331872, 332733, 333592,
  334449, 335303, 336154 | 525640
46233/55430 | 46233/55280 | B --------00002222 336154, 337009, 337861, 338708,
  339551, 340388, 341219 | 536590
46233/55280 | 46233/55130 | B -------000022222 341219, 342055, 342885, 343707,
  344522, 345328, 346125 | 547463
46233/55130 | 46233/54980 | B ------0000022222 346125, 346926, 347717, 348497,
  349266, 350023, 350765 | 558110
46233/54980 | 46233/54830 | B -----00000222222 350765, 351512, 352244, 352961,
  353662, 354345, 355009 | 568336
46233/54830 | 46233/54680 | B ----000002222222 355009, 355676, 356324, 356952,
  357557, 358137, 358693 | 577896
46233/54680 | 46233/54530 | B ---0000002222222 358693, 359251, 359783, 360288,
  360763, 361206, 361616 | 586484
46233/54530 | 46233/54380 | B --00000022222222 361616, 362029, 362407, 362750,
  363055, 363319, 363540 | 593722
46233/54380 | 4203/4930 | B -000000022222222 363540, 363763, 363943, 364077,
  364162, 364197, 364178 | 599157
4203/4930 | 46233/53930 | B 0000000222222222 364178, 364141, 364110, 364087,
  364071, 364062, 364060 | 1208715
46233/53930 | 46233/53480 | B 0000022222222222 364060, 364057, 364069, 364097,
  364139, 364196, 364266 | 1838624
46233/53480 | 46233/53030 | B 0000222222222222 364266, 364337, 364422, 364521,
  364632, 364756, 364891 | 1871986
46233/53030 | 4203/4780 | B 0022222222222222 364891, 365029, 365179, 365341,
  365513, 365696, 365888 | 1908290
4203/4780 | 46233/52130 | B 2222222222222222 368757, 367699, 366532, 365261,
  363893, 362433, 360887 | 1939661
46233/52130 | 46233/51680 | B 2222222222222222 360887, 359314, 357652, 355908,
  354086, 352193, 350233 | 1923098
46233/51680 | 9/10 | B 2222222222222222 350233, 348862, 347459, 346026, 344563,
  343073, 341557 | 1307421
9/10 | 15411/17030 | S 61/100 | 1137875
15411/17030 | 15411/16730 | B 2222222222222222 342919, 343613, 344240, 344803,
  345304, 345747, 346135 | 3915217
15411/16730 | 15411/16430 | B 2222222222222222 346135, 346538, 346881, 347168,
  347402, 347587, 347724 | 4086240
15411/16430 | 15411/16130 | B 2222222222222222 347724, 347867, 347959, 348004,
  348005, 347964, 347885 | 4248659
15411/16130 | 15411/15830 | B 2322222222222222 347885, 347802, 347678, 347516,
  347318, 347086, 346825 | 4403724
15411/15830 | 99/100 | B 3322222222222222 343572, 341063, 338550, 336034, 333516,
  330998, 328480 | 3873797
99/100 | 15411/15230 | B 3322222222222222 328480, 325135, 321789, 318447, 315110,
  311779, 308457 | 4878473
15411/15230 | 156251/152300 | B 3322222222222222 308457, 306323, 304193, 302067,
  299945, 297828, 295716 | 2972559
156251/152300 | 26/25 | B 3322222222222222 295716, 293605, 291498, 289398, 287303,
  285215, 283134 | 2847923
Exact integer sum of the last column: 77012365; hence this whole slope row is
  bounded by 77012365/10^8 < 169/200.

Case no_prime,	slope row 4: a in [5663/3600, 3].
Each line has: l | v | S rate,	or B choices M_0, ..., M_6 | D.
0 | 5137/210000 | S 1 | 1
5137/210000 | 5137/105000 | S 1 | 1
5137/105000 | 5137/70000 | S 1 | 2
5137/70000 | 5137/52500 | S 1 | 8
5137/52500 | 5137/42000 | S 1 | 33
5137/42000 | 5137/35000 | S 1 | 106
5137/35000 | 5137/30000 | S 1 | 285
5137/30000 | 5137/26250 | S 1 | 668
5137/26250 | 15411/70000 | S 1 | 1408
15411/70000 | 5137/21000 | S 1 | 2735
5137/21000 | 56507/210000 | S 1 | 4973
56507/210000 | 5137/17500 | S 1 | 8567
5137/17500 | 66781/210000 | S 1 | 14108
66781/210000 | 5137/15000 | S 1 | 22362
5137/15000 | 5137/14000 | S 1 | 34302
5137/14000 | 5137/13125 | S 1 | 51142
5137/13125 | 87329/210000 | S 1 | 74375
87329/210000 | 15411/35000 | S 1 | 105811
15411/35000 | 97603/210000 | S 1 | 147620
97603/210000 | 5137/10500 | S 1 | 202379
5137/10500 | 5137/10000 | S 1 | 273114
5137/10000 | 56507/105000 | S 1 | 363358
56507/105000 | 118151/210000 | S 1 | 477196
118151/210000 | 5137/8750 | S 1 | 619326
5137/8750 | 5137/8400 | S 1 | 795116
5137/8400 | 66781/105000 | S 1 | 1010661
66781/105000 | 46233/70000 | S 1 | 1272852
46233/70000 | 5137/7500 | S 1 | 1589438
5137/7500 | 148973/210000 | S 1 | 1969097
148973/210000 | 5137/7000 | S 1 | 2421506
5137/7000 | 159247/210000 | S 1 | 2957415
159247/210000 | 10274/13125 | S 1 | 3588725
10274/13125 | 56507/70000 | S 1 | 4328564
56507/70000 | 87329/105000 | S 1 | 5191374
87329/105000 | 5137/6000 | S 1 | 6192991
5137/6000 | 15411/17975 | S 1 | 329678
15411/17975 | 15411/17950 | S 1 | 333367
15411/17950 | 5137/5975 | B --------------02 400496, 401054, 401613, 402173,
  402733, 403294, 403855 | 337101
5137/5975 | 15411/17900 | B -------------002 403855, 404417, 404981, 405544,
  406108, 406671, 407235 | 340875
15411/17900 | 1401/1625 | B ------------0022 407235, 407800, 408365, 408930,
  409495, 410059, 410621 | 344682
1401/1625 | 5137/5950 | B -----------00222 410621, 411186, 411749, 412312, 412873,
  413432, 413989 | 348504
5137/5950 | 15411/17825 | B ----------000222 413989, 414547, 415103, 415657,
  416207, 416755, 417298 | 352314
15411/17825 | 15411/17800 | B ---------0002222 417298, 417842, 418383, 418919,
  419450, 419975, 420494 | 356073
15411/17800 | 5137/5925 | B --------00002222 420494, 421014, 421528, 422034,
  422533, 423023, 423503 | 359726
5137/5925 | 15411/17750 | B -------000022222 423503, 423985, 424457, 424918,
  425368, 425805, 426229 | 363198
15411/17750 | 15411/17725 | B ------0000022222 426229, 426653, 427065, 427461,
  427841, 428204, 428548 | 366394
15411/17725 | 5137/5900 | B -----00000222222 428548, 428894, 429220, 429526,
  429811, 430073, 430310 | 369195
5137/5900 | 15411/17675 | B ----000002222222 430310, 430548, 430761, 430947,
  431105, 431233, 431330 | 371453
15411/17675 | 15411/17650 | B ---0000002222222 431330, 431426, 431490, 431520,
  431514, 431470, 431385 | 372987
15411/17650 | 5137/5875 | B --00000022222222 431385, 431300, 431174, 431005,
  430791, 430528, 430215 | 373582
5137/5875 | 1401/1600 | B -000000022222222 430215, 429901, 429536, 429117, 428642,
  428108, 427512 | 372983
1401/1600 | 5137/5850 | B 0000000222222222 427512, 426314, 425128, 423954, 422791,
  421640, 420499 | 740375
5137/5850 | 5137/5825 | B 0000022222222222 420499, 418777, 417079, 415405, 413755,
  412127, 410521 | 1096016
5137/5825 | 5137/5800 | B 0000222222222222 410521, 408902, 407304, 405727, 404171,
  402634, 401116 | 1079696
5137/5800 | 467/525 | B 0022222222222222 401116, 399585, 398073, 396579, 395102,
  393642, 392198 | 1064475
467/525 | 5137/5750 | B 2222222222222222 395272, 392465, 389557, 386557, 383473,
  380312, 377081 | 1046048
5137/5750 | 5137/5725 | B 2222222222222222 377081, 373823, 370493, 367099, 363649,
  360147, 356602 | 1002196
5137/5725 | 9/10 | B 2222222222222222 356602, 354141, 351659, 349158, 346639,
  344105, 341557 | 661657
9/10 | 46233/51230 | S 61/100 | 562719
46233/51230 | 46233/50780 | B 2222222222222222 337334, 335006, 332626, 330201,
  327735, 325232, 322696 | 1848058
46233/50780 | 46233/50330 | B 2222222222222222 322696, 320114, 317499, 314854,
  312183, 309490, 306780 | 1793829
46233/50330 | 46233/49880 | B 2222222222222222 306780, 304020, 301241, 298447,
  295642, 292828, 290008 | 1731182
46233/49880 | 46233/49430 | B 2322222222222222 290008, 287138, 284261, 281382,
  278504, 275629, 272760 | 1662049
46233/49430 | 46233/48530 | B 3322222222222222 270201, 260277, 250627, 241254,
  232161, 223348, 214813 | 2936087
46233/48530 | 4203/4330 | B 3322222222222222 214813, 205956, 197398, 189140,
  181177, 173507, 166124 | 2390779
4203/4330 | 46233/46730 | B 3322222222222222 166124, 158457, 151100, 148489,
  146304, 144151, 142030 | 1975384
46233/46730 | 99/100 | B 3322222222222222 142030, 141958, 141886, 141814, 141742,
  141670, 141598 | 63093
99/100 | 46233/45830 | B 3322222222222222 141598, 139471, 137376, 135312, 133279,
  131277, 129305 | 1780894
46233/45830 | 46233/44930 | B 3322222222222222 129305, 127185, 125099, 123048,
  121030, 119045, 117093 | 1741476
46233/44930 | 26/25 | B 3322222222222222 117093, 116031, 114978, 113934, 112900,
  111876, 110860 | 877386
Exact integer sum of the last column: 65467130; hence this whole slope row is
  bounded by 65467130/10^8 < 169/200.
