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gchilders

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gchilders
May 22nd, 2026
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  1. Thu May 21 21:59:51 2026
  2. Thu May 21 21:59:51 2026
  3. Thu May 21 21:59:51 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 21 21:59:51 2026 random seeds: 9cf6f852 246d1cfa
  5. Thu May 21 21:59:51 2026 MPI process 0 of 1
  6. Thu May 21 21:59:51 2026 Using 16 OpenMP threads
  7. Thu May 21 21:59:51 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits)
  8. Thu May 21 21:59:52 2026 no P-1/P+1/ECM available, skipping
  9. Thu May 21 21:59:52 2026 commencing number field sieve (159-digit input)
  10. Thu May 21 21:59:52 2026 R0: -8526538592978444468710446178706
  11. Thu May 21 21:59:52 2026 R1: 152353191035728050173
  12. Thu May 21 21:59:52 2026 A0: -114448781165258854193564608610715378
  13. Thu May 21 21:59:52 2026 A1: 236909616040680744027013969415
  14. Thu May 21 21:59:52 2026 A2: 55095077240893401050214
  15. Thu May 21 21:59:52 2026 A3: -1035275669015806223
  16. Thu May 21 21:59:52 2026 A4: 12847125972
  17. Thu May 21 21:59:52 2026 A5: 30240
  18. Thu May 21 21:59:52 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3
  19. Thu May 21 21:59:52 2026
  20. Thu May 21 21:59:52 2026 commencing relation filtering
  21. Thu May 21 21:59:52 2026 setting target matrix density to 110.0
  22. Thu May 21 21:59:52 2026 estimated available RAM is 385608.2 MB
  23. Thu May 21 21:59:52 2026 commencing duplicate removal, pass 1
  24. Thu May 21 22:00:55 2026 skipped 8 malformed relations
  25. Thu May 21 22:00:55 2026 found 2776573 hash collisions in 56510406 relations
  26. Thu May 21 22:01:34 2026 added 122428 free relations
  27. Thu May 21 22:01:34 2026 commencing duplicate removal, pass 2
  28. Thu May 21 22:01:49 2026 found 0 duplicates and 56632834 unique relations
  29. Thu May 21 22:01:49 2026 memory use: 197.2 MB
  30. Thu May 21 22:01:49 2026 reading ideals above 720000
  31. Thu May 21 22:01:50 2026 commencing singleton removal, initial pass
  32. Thu May 21 22:03:48 2026 memory use: 1506.0 MB
  33. Thu May 21 22:03:48 2026 reading all ideals from disk
  34. Thu May 21 22:03:50 2026 memory use: 2463.1 MB
  35. Thu May 21 22:03:56 2026 keeping 58987006 ideals with weight <= 200, target excess is 313834
  36. Thu May 21 22:04:01 2026 commencing in-memory singleton removal
  37. Thu May 21 22:04:03 2026 begin with 56632834 relations and 58987006 unique ideals
  38. Thu May 21 22:04:07 2026 reduce to 25666829 relations and 23644544 ideals in 18 passes
  39. Thu May 21 22:04:07 2026 max relations containing the same ideal: 119
  40. Thu May 21 22:04:14 2026 removing 3095555 relations and 2695555 ideals in 400000 cliques
  41. Thu May 21 22:04:15 2026 commencing in-memory singleton removal
  42. Thu May 21 22:04:16 2026 begin with 22571274 relations and 23644544 unique ideals
  43. Thu May 21 22:04:17 2026 reduce to 22288222 relations and 20660176 ideals in 10 passes
  44. Thu May 21 22:04:17 2026 max relations containing the same ideal: 109
  45. Thu May 21 22:04:23 2026 removing 2332799 relations and 1932799 ideals in 400000 cliques
  46. Thu May 21 22:04:24 2026 commencing in-memory singleton removal
  47. Thu May 21 22:04:25 2026 begin with 19955423 relations and 20660176 unique ideals
  48. Thu May 21 22:04:26 2026 reduce to 19768135 relations and 18536693 ideals in 12 passes
  49. Thu May 21 22:04:26 2026 max relations containing the same ideal: 99
  50. Thu May 21 22:04:31 2026 removing 2094429 relations and 1694429 ideals in 400000 cliques
  51. Thu May 21 22:04:32 2026 commencing in-memory singleton removal
  52. Thu May 21 22:04:33 2026 begin with 17673706 relations and 18536693 unique ideals
  53. Thu May 21 22:04:33 2026 reduce to 17503105 relations and 16668477 ideals in 8 passes
  54. Thu May 21 22:04:33 2026 max relations containing the same ideal: 91
  55. Thu May 21 22:04:38 2026 removing 1971178 relations and 1571178 ideals in 400000 cliques
  56. Thu May 21 22:04:39 2026 commencing in-memory singleton removal
  57. Thu May 21 22:04:39 2026 begin with 15531927 relations and 16668477 unique ideals
  58. Thu May 21 22:04:40 2026 reduce to 15364672 relations and 14926695 ideals in 9 passes
  59. Thu May 21 22:04:40 2026 max relations containing the same ideal: 82
  60. Thu May 21 22:04:45 2026 removing 492487 relations and 418558 ideals in 73929 cliques
  61. Thu May 21 22:04:45 2026 commencing in-memory singleton removal
  62. Thu May 21 22:04:45 2026 begin with 14872185 relations and 14926695 unique ideals
  63. Thu May 21 22:04:46 2026 reduce to 14861845 relations and 14497752 ideals in 6 passes
  64. Thu May 21 22:04:46 2026 max relations containing the same ideal: 80
  65. Thu May 21 22:04:49 2026 relations with 0 large ideals: 1133
  66. Thu May 21 22:04:49 2026 relations with 1 large ideals: 3789
  67. Thu May 21 22:04:49 2026 relations with 2 large ideals: 58728
  68. Thu May 21 22:04:49 2026 relations with 3 large ideals: 406197
  69. Thu May 21 22:04:49 2026 relations with 4 large ideals: 1495904
  70. Thu May 21 22:04:49 2026 relations with 5 large ideals: 3209045
  71. Thu May 21 22:04:49 2026 relations with 6 large ideals: 4189189
  72. Thu May 21 22:04:49 2026 relations with 7+ large ideals: 5497860
  73. Thu May 21 22:04:49 2026 commencing 2-way merge
  74. Thu May 21 22:04:55 2026 reduce to 8975542 relation sets and 8611449 unique ideals
  75. Thu May 21 22:04:55 2026 commencing full merge
  76. Thu May 21 22:07:29 2026 memory use: 1091.1 MB
  77. Thu May 21 22:07:30 2026 found 4108113 cycles, need 4077649
  78. Thu May 21 22:07:31 2026 weight of 4077649 cycles is about 449152663 (110.15/cycle)
  79. Thu May 21 22:07:31 2026 distribution of cycle lengths:
  80. Thu May 21 22:07:31 2026 1 relations: 259641
  81. Thu May 21 22:07:31 2026 2 relations: 313291
  82. Thu May 21 22:07:31 2026 3 relations: 337765
  83. Thu May 21 22:07:31 2026 4 relations: 328740
  84. Thu May 21 22:07:31 2026 5 relations: 319026
  85. Thu May 21 22:07:31 2026 6 relations: 302755
  86. Thu May 21 22:07:31 2026 7 relations: 280689
  87. Thu May 21 22:07:31 2026 8 relations: 262268
  88. Thu May 21 22:07:31 2026 9 relations: 239764
  89. Thu May 21 22:07:31 2026 10+ relations: 1433710
  90. Thu May 21 22:07:31 2026 heaviest cycle: 28 relations
  91. Thu May 21 22:07:32 2026 commencing cycle optimization
  92. Thu May 21 22:07:39 2026 start with 33264485 relations
  93. Thu May 21 22:08:42 2026 pruned 1188266 relations
  94. Thu May 21 22:08:42 2026 memory use: 951.3 MB
  95. Thu May 21 22:08:42 2026 distribution of cycle lengths:
  96. Thu May 21 22:08:42 2026 1 relations: 259641
  97. Thu May 21 22:08:42 2026 2 relations: 321446
  98. Thu May 21 22:08:42 2026 3 relations: 351535
  99. Thu May 21 22:08:42 2026 4 relations: 340162
  100. Thu May 21 22:08:42 2026 5 relations: 331604
  101. Thu May 21 22:08:42 2026 6 relations: 312325
  102. Thu May 21 22:08:42 2026 7 relations: 290274
  103. Thu May 21 22:08:42 2026 8 relations: 269335
  104. Thu May 21 22:08:42 2026 9 relations: 245323
  105. Thu May 21 22:08:42 2026 10+ relations: 1356004
  106. Thu May 21 22:08:42 2026 heaviest cycle: 27 relations
  107. Thu May 21 22:08:51 2026 RelProcTime: 539
  108. Thu May 21 22:08:51 2026 elapsed time 00:09:00
  109. Thu May 21 22:08:51 2026
  110. Thu May 21 22:08:51 2026
  111. Thu May 21 22:08:51 2026 Msieve v. 1.54 (SVN Unversioned directory)
  112. Thu May 21 22:08:51 2026 random seeds: 47e29684 b2351a63
  113. Thu May 21 22:08:51 2026 MPI process 0 of 1
  114. Thu May 21 22:08:51 2026 Using 16 OpenMP threads
  115. Thu May 21 22:08:51 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits)
  116. Thu May 21 22:08:52 2026 no P-1/P+1/ECM available, skipping
  117. Thu May 21 22:08:52 2026 commencing number field sieve (159-digit input)
  118. Thu May 21 22:08:52 2026 R0: -8526538592978444468710446178706
  119. Thu May 21 22:08:52 2026 R1: 152353191035728050173
  120. Thu May 21 22:08:52 2026 A0: -114448781165258854193564608610715378
  121. Thu May 21 22:08:52 2026 A1: 236909616040680744027013969415
  122. Thu May 21 22:08:52 2026 A2: 55095077240893401050214
  123. Thu May 21 22:08:52 2026 A3: -1035275669015806223
  124. Thu May 21 22:08:52 2026 A4: 12847125972
  125. Thu May 21 22:08:52 2026 A5: 30240
  126. Thu May 21 22:08:52 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3
  127. Thu May 21 22:08:52 2026
  128. Thu May 21 22:08:52 2026 commencing linear algebra
  129. Thu May 21 22:08:52 2026 using VBITS=256
  130. Thu May 21 22:08:52 2026 stopping after matrix build
  131. Thu May 21 22:08:52 2026 initialized process (0,0) of 1 x 1 grid
  132. Thu May 21 22:08:53 2026 read 4077649 cycles
  133. Thu May 21 22:09:01 2026 cycles contain 14617765 unique relations
  134. Thu May 21 22:09:17 2026 read 14617765 relations
  135. Thu May 21 22:09:18 2026 using 20 quadratic characters above 4294917295
  136. Thu May 21 22:09:25 2026 building initial matrix
  137. Thu May 21 22:12:42 2026 memory use: 1964.5 MB
  138. Thu May 21 22:12:48 2026 read 4077649 cycles
  139. Thu May 21 22:12:48 2026 matrix is 4077471 x 4077649 (1784.5 MB) with weight 546085267 (133.92/col)
  140. Thu May 21 22:12:48 2026 sparse part has weight 422951060 (103.72/col)
  141. Thu May 21 22:13:29 2026 filtering completed in 2 passes
  142. Thu May 21 22:13:30 2026 matrix is 4077089 x 4077267 (1784.5 MB) with weight 546067582 (133.93/col)
  143. Thu May 21 22:13:30 2026 sparse part has weight 422945584 (103.73/col)
  144. Thu May 21 22:13:40 2026 BLanczosTime: 288
  145. Thu May 21 22:13:40 2026 elapsed time 00:04:49
  146. Thu May 21 22:13:41 2026
  147. Thu May 21 22:13:41 2026
  148. Thu May 21 22:13:41 2026 Msieve v. 1.54 (SVN Unversioned directory)
  149. Thu May 21 22:13:41 2026 random seeds: 07301953 059540f0
  150. Thu May 21 22:13:41 2026 MPI process 0 of 1
  151. Thu May 21 22:13:41 2026 Using 6 OpenMP threads
  152. Thu May 21 22:13:41 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits)
  153. Thu May 21 22:13:42 2026 no P-1/P+1/ECM available, skipping
  154. Thu May 21 22:13:42 2026 commencing number field sieve (159-digit input)
  155. Thu May 21 22:13:42 2026 R0: -8526538592978444468710446178706
  156. Thu May 21 22:13:42 2026 R1: 152353191035728050173
  157. Thu May 21 22:13:42 2026 A0: -114448781165258854193564608610715378
  158. Thu May 21 22:13:42 2026 A1: 236909616040680744027013969415
  159. Thu May 21 22:13:42 2026 A2: 55095077240893401050214
  160. Thu May 21 22:13:42 2026 A3: -1035275669015806223
  161. Thu May 21 22:13:42 2026 A4: 12847125972
  162. Thu May 21 22:13:42 2026 A5: 30240
  163. Thu May 21 22:13:42 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3
  164. Thu May 21 22:13:42 2026
  165. Thu May 21 22:13:42 2026 commencing linear algebra
  166. Thu May 21 22:13:42 2026 using VBITS=256
  167. Thu May 21 22:13:42 2026 skipping matrix build
  168. Thu May 21 22:13:42 2026 initialized process (0,0) of 1 x 1 grid
  169. Thu May 21 22:13:46 2026 matrix starts at (0, 0)
  170. Thu May 21 22:13:47 2026 matrix is 4077089 x 4077267 (1784.5 MB) with weight 546067582 (133.93/col)
  171. Thu May 21 22:13:47 2026 sparse part has weight 422945584 (103.73/col)
  172. Thu May 21 22:13:47 2026 saving the first 240 matrix rows for later
  173. Thu May 21 22:13:49 2026 matrix includes 256 packed rows
  174. Thu May 21 22:13:51 2026 matrix is 4076849 x 4077267 (1616.4 MB) with weight 383484725 (94.05/col)
  175. Thu May 21 22:13:51 2026 sparse part has weight 358487582 (87.92/col)
  176. Thu May 21 22:13:51 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  177. Thu May 21 22:13:51 2026 selected card has CUDA arch 8.0
  178. Thu May 21 22:14:37 2026 commencing Lanczos iteration
  179. Thu May 21 22:14:37 2026 memory use: 3886.0 MB
  180. Thu May 21 22:14:44 2026 linear algebra at 0.8%, ETA 0h13m
  181. Thu May 21 22:14:54 2026 checking every 280000 dimensions, checkpointing every 17360000 dimensions
  182. Thu May 21 22:28:56 2026 lanczos halted after 15975 iterations (dim = 4076849)
  183. Thu May 21 22:29:21 2026 recovered 31 nontrivial dependencies
  184. Thu May 21 22:29:22 2026 BLanczosTime: 940
  185. Thu May 21 22:29:22 2026 elapsed time 00:15:41
  186. Thu May 21 22:29:23 2026
  187. Thu May 21 22:29:23 2026
  188. Thu May 21 22:29:23 2026 Msieve v. 1.54 (SVN Unversioned directory)
  189. Thu May 21 22:29:23 2026 random seeds: 04631278 e09cae0d
  190. Thu May 21 22:29:23 2026 MPI process 0 of 1
  191. Thu May 21 22:29:23 2026 Using 16 OpenMP threads
  192. Thu May 21 22:29:23 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits)
  193. Thu May 21 22:29:23 2026 no P-1/P+1/ECM available, skipping
  194. Thu May 21 22:29:23 2026 commencing number field sieve (159-digit input)
  195. Thu May 21 22:29:23 2026 R0: -8526538592978444468710446178706
  196. Thu May 21 22:29:23 2026 R1: 152353191035728050173
  197. Thu May 21 22:29:23 2026 A0: -114448781165258854193564608610715378
  198. Thu May 21 22:29:23 2026 A1: 236909616040680744027013969415
  199. Thu May 21 22:29:23 2026 A2: 55095077240893401050214
  200. Thu May 21 22:29:23 2026 A3: -1035275669015806223
  201. Thu May 21 22:29:23 2026 A4: 12847125972
  202. Thu May 21 22:29:23 2026 A5: 30240
  203. Thu May 21 22:29:23 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3
  204. Thu May 21 22:29:23 2026
  205. Thu May 21 22:29:23 2026 commencing square root phase
  206. Thu May 21 22:29:23 2026 reading relations for dependency 1
  207. Thu May 21 22:29:24 2026 read 2037909 cycles
  208. Thu May 21 22:29:28 2026 cycles contain 7306786 unique relations
  209. Thu May 21 22:29:36 2026 read 7306786 relations
  210. Thu May 21 22:30:10 2026 multiplying 7306786 relations
  211. Thu May 21 22:30:58 2026 multiply complete, coefficients have about 367.07 million bits
  212. Thu May 21 22:30:59 2026 initial square root is modulo 3859189
  213. Thu May 21 22:33:26 2026 GCD is 1, no factor found
  214. Thu May 21 22:33:26 2026 reading relations for dependency 2
  215. Thu May 21 22:33:27 2026 read 2037951 cycles
  216. Thu May 21 22:33:30 2026 cycles contain 7305140 unique relations
  217. Thu May 21 22:33:38 2026 read 7305140 relations
  218. Thu May 21 22:34:12 2026 multiplying 7305140 relations
  219. Thu May 21 22:35:00 2026 multiply complete, coefficients have about 366.99 million bits
  220. Thu May 21 22:35:01 2026 initial square root is modulo 3846751
  221. Thu May 21 22:37:28 2026 GCD is N, no factor found
  222. Thu May 21 22:37:28 2026 reading relations for dependency 3
  223. Thu May 21 22:37:29 2026 read 2037831 cycles
  224. Thu May 21 22:37:32 2026 cycles contain 7307254 unique relations
  225. Thu May 21 22:37:40 2026 read 7307254 relations
  226. Thu May 21 22:38:14 2026 multiplying 7307254 relations
  227. Thu May 21 22:39:02 2026 multiply complete, coefficients have about 367.10 million bits
  228. Thu May 21 22:39:03 2026 initial square root is modulo 3862717
  229. Thu May 21 22:41:31 2026 GCD is N, no factor found
  230. Thu May 21 22:41:31 2026 reading relations for dependency 4
  231. Thu May 21 22:41:32 2026 read 2039098 cycles
  232. Thu May 21 22:41:36 2026 cycles contain 7305624 unique relations
  233. Thu May 21 22:41:43 2026 read 7305624 relations
  234. Thu May 21 22:42:16 2026 multiplying 7305624 relations
  235. Thu May 21 22:43:04 2026 multiply complete, coefficients have about 367.01 million bits
  236. Thu May 21 22:43:06 2026 initial square root is modulo 3849389
  237. Thu May 21 22:45:34 2026 sqrtTime: 971
  238. Thu May 21 22:45:34 2026 p70 factor: 4091695398522096794510816938542029823698470526974421054866099471394693
  239. Thu May 21 22:45:34 2026 p89 factor: 27756477340239219281058156314467109862694217762351971252231465643678281578289835956909403
  240. Thu May 21 22:45:34 2026 elapsed time 00:16:11
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