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gchilders
Mar 18th, 2026
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  1. Tue Mar 17 17:19:49 2026
  2. Tue Mar 17 17:19:49 2026
  3. Tue Mar 17 17:19:49 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Mar 17 17:19:49 2026 random seeds: 8f6b4e92 b8f51dcb
  5. Tue Mar 17 17:19:49 2026 MPI process 0 of 1
  6. Tue Mar 17 17:19:49 2026 Using 46 OpenMP threads
  7. Tue Mar 17 17:19:49 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits)
  8. Tue Mar 17 17:19:50 2026 no P-1/P+1/ECM available, skipping
  9. Tue Mar 17 17:19:50 2026 commencing number field sieve (223-digit input)
  10. Tue Mar 17 17:19:50 2026 R0: 770452554484090197386587479931326064708100638279
  11. Tue Mar 17 17:19:50 2026 R1: -1
  12. Tue Mar 17 17:19:50 2026 A0: 1
  13. Tue Mar 17 17:19:50 2026 A1: 1
  14. Tue Mar 17 17:19:50 2026 A2: 1
  15. Tue Mar 17 17:19:50 2026 A3: 1
  16. Tue Mar 17 17:19:50 2026 A4: 1
  17. Tue Mar 17 17:19:50 2026 A5: 1
  18. Tue Mar 17 17:19:50 2026 A6: 1
  19. Tue Mar 17 17:19:50 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0
  20. Tue Mar 17 17:19:50 2026
  21. Tue Mar 17 17:19:50 2026 commencing relation filtering
  22. Tue Mar 17 17:19:50 2026 setting target matrix density to 110.0
  23. Tue Mar 17 17:19:50 2026 estimated available RAM is 773418.9 MB
  24. Tue Mar 17 17:19:50 2026 commencing duplicate removal, pass 1
  25. Tue Mar 17 17:23:10 2026 error -11 reading relation 273523678
  26. Tue Mar 17 17:23:10 2026 error -11 reading relation 274675516
  27. Tue Mar 17 17:24:29 2026 error -1 reading relation 382433904
  28. Tue Mar 17 17:25:24 2026 error -11 reading relation 452298221
  29. Tue Mar 17 17:27:58 2026 error -5 reading relation 656376452
  30. Tue Mar 17 17:28:12 2026 error -1 reading relation 674469438
  31. Tue Mar 17 17:28:12 2026 error -1 reading relation 674469439
  32. Tue Mar 17 17:28:12 2026 error -1 reading relation 674470146
  33. Tue Mar 17 17:28:12 2026 error -1 reading relation 674471278
  34. Tue Mar 17 17:28:12 2026 error -1 reading relation 674471426
  35. Tue Mar 17 17:28:12 2026 error -15 reading relation 674471970
  36. Tue Mar 17 17:28:12 2026 error -6 reading relation 674472517
  37. Tue Mar 17 17:28:12 2026 error -1 reading relation 674472940
  38. Tue Mar 17 17:28:12 2026 error -11 reading relation 674473706
  39. Tue Mar 17 17:28:12 2026 error -1 reading relation 674473877
  40. Tue Mar 17 17:28:12 2026 error -1 reading relation 674474245
  41. Tue Mar 17 17:28:12 2026 error -11 reading relation 674474681
  42. Tue Mar 17 17:28:28 2026 error -1 reading relation 695105778
  43. Tue Mar 17 17:28:38 2026 skipped 24188 relations with b > 2^32
  44. Tue Mar 17 17:28:38 2026 skipped 6 relations with composite factors
  45. Tue Mar 17 17:28:38 2026 skipped 680 malformed relations
  46. Tue Mar 17 17:28:38 2026 found 27616871 hash collisions in 707673908 relations
  47. Tue Mar 17 17:28:43 2026 added 2438534 free relations
  48. Tue Mar 17 17:28:43 2026 commencing duplicate removal, pass 2
  49. Tue Mar 17 17:32:01 2026 found 0 duplicates and 710112442 unique relations
  50. Tue Mar 17 17:32:02 2026 memory use: 2217.5 MB
  51. Tue Mar 17 17:32:02 2026 reading ideals above 720000
  52. Tue Mar 17 17:32:02 2026 commencing singleton removal, initial pass
  53. Tue Mar 17 17:59:22 2026 memory use: 11024.0 MB
  54. Tue Mar 17 17:59:22 2026 reading all ideals from disk
  55. Tue Mar 17 17:59:51 2026 memory use: 36764.7 MB
  56. Tue Mar 17 18:00:29 2026 keeping 638316377 ideals with weight <= 200, target excess is 4308313
  57. Tue Mar 17 18:01:24 2026 commencing in-memory singleton removal
  58. Tue Mar 17 18:01:28 2026 begin with 710112442 relations and 638316377 unique ideals
  59. Tue Mar 17 18:01:55 2026 reduce to 457487892 relations and 360289616 ideals in 14 passes
  60. Tue Mar 17 18:01:55 2026 max relations containing the same ideal: 161
  61. Tue Mar 17 18:03:10 2026 removing 14552696 relations and 12552696 ideals in 2000000 cliques
  62. Tue Mar 17 18:03:20 2026 commencing in-memory singleton removal
  63. Tue Mar 17 18:03:22 2026 begin with 442935196 relations and 360289616 unique ideals
  64. Tue Mar 17 18:03:32 2026 reduce to 442608028 relations and 347407720 ideals in 7 passes
  65. Tue Mar 17 18:03:32 2026 max relations containing the same ideal: 155
  66. Tue Mar 17 18:04:50 2026 removing 10964128 relations and 8964128 ideals in 2000000 cliques
  67. Tue Mar 17 18:05:00 2026 commencing in-memory singleton removal
  68. Tue Mar 17 18:05:02 2026 begin with 431643900 relations and 347407720 unique ideals
  69. Tue Mar 17 18:05:11 2026 reduce to 431436616 relations and 338235221 ideals in 7 passes
  70. Tue Mar 17 18:05:11 2026 max relations containing the same ideal: 154
  71. Tue Mar 17 18:06:27 2026 removing 9816216 relations and 7816216 ideals in 2000000 cliques
  72. Tue Mar 17 18:06:36 2026 commencing in-memory singleton removal
  73. Tue Mar 17 18:06:38 2026 begin with 421620400 relations and 338235221 unique ideals
  74. Tue Mar 17 18:06:48 2026 reduce to 421445321 relations and 330243070 ideals in 8 passes
  75. Tue Mar 17 18:06:48 2026 max relations containing the same ideal: 151
  76. Tue Mar 17 18:08:03 2026 removing 9152725 relations and 7152725 ideals in 2000000 cliques
  77. Tue Mar 17 18:08:12 2026 commencing in-memory singleton removal
  78. Tue Mar 17 18:08:14 2026 begin with 412292596 relations and 330243070 unique ideals
  79. Tue Mar 17 18:08:22 2026 reduce to 412133579 relations and 322930528 ideals in 6 passes
  80. Tue Mar 17 18:08:22 2026 max relations containing the same ideal: 149
  81. Tue Mar 17 18:09:35 2026 removing 8701785 relations and 6701785 ideals in 2000000 cliques
  82. Tue Mar 17 18:09:44 2026 commencing in-memory singleton removal
  83. Tue Mar 17 18:09:45 2026 begin with 403431794 relations and 322930528 unique ideals
  84. Tue Mar 17 18:09:53 2026 reduce to 403284522 relations and 316080722 ideals in 6 passes
  85. Tue Mar 17 18:09:53 2026 max relations containing the same ideal: 145
  86. Tue Mar 17 18:11:05 2026 removing 8366872 relations and 6366872 ideals in 2000000 cliques
  87. Tue Mar 17 18:11:14 2026 commencing in-memory singleton removal
  88. Tue Mar 17 18:11:15 2026 begin with 394917650 relations and 316080722 unique ideals
  89. Tue Mar 17 18:11:23 2026 reduce to 394776979 relations and 309572426 ideals in 6 passes
  90. Tue Mar 17 18:11:23 2026 max relations containing the same ideal: 143
  91. Tue Mar 17 18:12:34 2026 removing 8109360 relations and 6109360 ideals in 2000000 cliques
  92. Tue Mar 17 18:12:42 2026 commencing in-memory singleton removal
  93. Tue Mar 17 18:12:44 2026 begin with 386667619 relations and 309572426 unique ideals
  94. Tue Mar 17 18:12:53 2026 reduce to 386531392 relations and 303326161 ideals in 7 passes
  95. Tue Mar 17 18:12:53 2026 max relations containing the same ideal: 142
  96. Tue Mar 17 18:14:02 2026 removing 7907774 relations and 5907774 ideals in 2000000 cliques
  97. Tue Mar 17 18:14:11 2026 commencing in-memory singleton removal
  98. Tue Mar 17 18:14:12 2026 begin with 378623618 relations and 303326161 unique ideals
  99. Tue Mar 17 18:14:19 2026 reduce to 378491892 relations and 297285978 ideals in 6 passes
  100. Tue Mar 17 18:14:19 2026 max relations containing the same ideal: 141
  101. Tue Mar 17 18:15:28 2026 removing 7740953 relations and 5740953 ideals in 2000000 cliques
  102. Tue Mar 17 18:15:36 2026 commencing in-memory singleton removal
  103. Tue Mar 17 18:15:38 2026 begin with 370750939 relations and 297285978 unique ideals
  104. Tue Mar 17 18:15:45 2026 reduce to 370620691 relations and 291414081 ideals in 6 passes
  105. Tue Mar 17 18:15:45 2026 max relations containing the same ideal: 140
  106. Tue Mar 17 18:16:49 2026 removing 7599568 relations and 5599568 ideals in 2000000 cliques
  107. Tue Mar 17 18:16:57 2026 commencing in-memory singleton removal
  108. Tue Mar 17 18:16:58 2026 begin with 363021123 relations and 291414081 unique ideals
  109. Tue Mar 17 18:17:05 2026 reduce to 362892481 relations and 285685156 ideals in 6 passes
  110. Tue Mar 17 18:17:05 2026 max relations containing the same ideal: 139
  111. Tue Mar 17 18:18:10 2026 removing 7486837 relations and 5486837 ideals in 2000000 cliques
  112. Tue Mar 17 18:18:18 2026 commencing in-memory singleton removal
  113. Tue Mar 17 18:18:20 2026 begin with 355405644 relations and 285685156 unique ideals
  114. Tue Mar 17 18:18:27 2026 reduce to 355278407 relations and 280070316 ideals in 7 passes
  115. Tue Mar 17 18:18:27 2026 max relations containing the same ideal: 135
  116. Tue Mar 17 18:19:30 2026 removing 7387531 relations and 5387531 ideals in 2000000 cliques
  117. Tue Mar 17 18:19:38 2026 commencing in-memory singleton removal
  118. Tue Mar 17 18:19:39 2026 begin with 347890876 relations and 280070316 unique ideals
  119. Tue Mar 17 18:19:46 2026 reduce to 347763994 relations and 274555214 ideals in 7 passes
  120. Tue Mar 17 18:19:46 2026 max relations containing the same ideal: 133
  121. Tue Mar 17 18:20:49 2026 removing 7301485 relations and 5301485 ideals in 2000000 cliques
  122. Tue Mar 17 18:20:56 2026 commencing in-memory singleton removal
  123. Tue Mar 17 18:20:58 2026 begin with 340462509 relations and 274555214 unique ideals
  124. Tue Mar 17 18:21:05 2026 reduce to 340334942 relations and 269125415 ideals in 6 passes
  125. Tue Mar 17 18:21:05 2026 max relations containing the same ideal: 131
  126. Tue Mar 17 18:22:07 2026 removing 7228458 relations and 5228458 ideals in 2000000 cliques
  127. Tue Mar 17 18:22:14 2026 commencing in-memory singleton removal
  128. Tue Mar 17 18:22:16 2026 begin with 333106484 relations and 269125415 unique ideals
  129. Tue Mar 17 18:22:22 2026 reduce to 332979912 relations and 263769591 ideals in 6 passes
  130. Tue Mar 17 18:22:22 2026 max relations containing the same ideal: 130
  131. Tue Mar 17 18:23:25 2026 removing 7167938 relations and 5167938 ideals in 2000000 cliques
  132. Tue Mar 17 18:23:32 2026 commencing in-memory singleton removal
  133. Tue Mar 17 18:23:33 2026 begin with 325811974 relations and 263769591 unique ideals
  134. Tue Mar 17 18:23:39 2026 reduce to 325685358 relations and 258474276 ideals in 6 passes
  135. Tue Mar 17 18:23:39 2026 max relations containing the same ideal: 128
  136. Tue Mar 17 18:24:40 2026 removing 7113359 relations and 5113359 ideals in 2000000 cliques
  137. Tue Mar 17 18:24:47 2026 commencing in-memory singleton removal
  138. Tue Mar 17 18:24:49 2026 begin with 318571999 relations and 258474276 unique ideals
  139. Tue Mar 17 18:24:55 2026 reduce to 318444178 relations and 253232309 ideals in 6 passes
  140. Tue Mar 17 18:24:55 2026 max relations containing the same ideal: 127
  141. Tue Mar 17 18:25:54 2026 removing 7064769 relations and 5064769 ideals in 2000000 cliques
  142. Tue Mar 17 18:26:01 2026 commencing in-memory singleton removal
  143. Tue Mar 17 18:26:02 2026 begin with 311379409 relations and 253232309 unique ideals
  144. Tue Mar 17 18:26:09 2026 reduce to 311250064 relations and 248037298 ideals in 7 passes
  145. Tue Mar 17 18:26:09 2026 max relations containing the same ideal: 125
  146. Tue Mar 17 18:27:06 2026 removing 7028407 relations and 5028407 ideals in 2000000 cliques
  147. Tue Mar 17 18:27:13 2026 commencing in-memory singleton removal
  148. Tue Mar 17 18:27:14 2026 begin with 304221657 relations and 248037298 unique ideals
  149. Tue Mar 17 18:27:20 2026 reduce to 304090886 relations and 242877191 ideals in 6 passes
  150. Tue Mar 17 18:27:20 2026 max relations containing the same ideal: 124
  151. Tue Mar 17 18:28:17 2026 removing 6990874 relations and 4990874 ideals in 2000000 cliques
  152. Tue Mar 17 18:28:24 2026 commencing in-memory singleton removal
  153. Tue Mar 17 18:28:25 2026 begin with 297100012 relations and 242877191 unique ideals
  154. Tue Mar 17 18:28:31 2026 reduce to 296966466 relations and 237751837 ideals in 6 passes
  155. Tue Mar 17 18:28:31 2026 max relations containing the same ideal: 122
  156. Tue Mar 17 18:29:27 2026 removing 6962694 relations and 4962694 ideals in 2000000 cliques
  157. Tue Mar 17 18:29:33 2026 commencing in-memory singleton removal
  158. Tue Mar 17 18:29:35 2026 begin with 290003772 relations and 237751837 unique ideals
  159. Tue Mar 17 18:29:40 2026 reduce to 289869906 relations and 232654261 ideals in 6 passes
  160. Tue Mar 17 18:29:40 2026 max relations containing the same ideal: 121
  161. Tue Mar 17 18:30:34 2026 removing 6937171 relations and 4937171 ideals in 2000000 cliques
  162. Tue Mar 17 18:30:41 2026 commencing in-memory singleton removal
  163. Tue Mar 17 18:30:42 2026 begin with 282932735 relations and 232654261 unique ideals
  164. Tue Mar 17 18:30:48 2026 reduce to 282795774 relations and 227578987 ideals in 7 passes
  165. Tue Mar 17 18:30:48 2026 max relations containing the same ideal: 119
  166. Tue Mar 17 18:31:42 2026 removing 6919463 relations and 4919463 ideals in 2000000 cliques
  167. Tue Mar 17 18:31:48 2026 commencing in-memory singleton removal
  168. Tue Mar 17 18:31:49 2026 begin with 275876311 relations and 227578987 unique ideals
  169. Tue Mar 17 18:31:55 2026 reduce to 275736430 relations and 222518532 ideals in 7 passes
  170. Tue Mar 17 18:31:55 2026 max relations containing the same ideal: 118
  171. Tue Mar 17 18:32:48 2026 removing 6902336 relations and 4902336 ideals in 2000000 cliques
  172. Tue Mar 17 18:32:54 2026 commencing in-memory singleton removal
  173. Tue Mar 17 18:32:55 2026 begin with 268834094 relations and 222518532 unique ideals
  174. Tue Mar 17 18:33:00 2026 reduce to 268691895 relations and 217472869 ideals in 7 passes
  175. Tue Mar 17 18:33:00 2026 max relations containing the same ideal: 115
  176. Tue Mar 17 18:33:50 2026 removing 6893852 relations and 4893852 ideals in 2000000 cliques
  177. Tue Mar 17 18:33:56 2026 commencing in-memory singleton removal
  178. Tue Mar 17 18:33:57 2026 begin with 261798043 relations and 217472869 unique ideals
  179. Tue Mar 17 18:34:02 2026 reduce to 261652554 relations and 212432365 ideals in 7 passes
  180. Tue Mar 17 18:34:02 2026 max relations containing the same ideal: 110
  181. Tue Mar 17 18:34:51 2026 removing 6889455 relations and 4889455 ideals in 2000000 cliques
  182. Tue Mar 17 18:34:57 2026 commencing in-memory singleton removal
  183. Tue Mar 17 18:34:58 2026 begin with 254763099 relations and 212432365 unique ideals
  184. Tue Mar 17 18:35:03 2026 reduce to 254614270 relations and 207392740 ideals in 6 passes
  185. Tue Mar 17 18:35:03 2026 max relations containing the same ideal: 107
  186. Tue Mar 17 18:35:50 2026 removing 6887800 relations and 4887800 ideals in 2000000 cliques
  187. Tue Mar 17 18:35:55 2026 commencing in-memory singleton removal
  188. Tue Mar 17 18:35:56 2026 begin with 247726470 relations and 207392740 unique ideals
  189. Tue Mar 17 18:36:01 2026 reduce to 247573072 relations and 202350193 ideals in 6 passes
  190. Tue Mar 17 18:36:01 2026 max relations containing the same ideal: 105
  191. Tue Mar 17 18:36:47 2026 removing 6882988 relations and 4882988 ideals in 2000000 cliques
  192. Tue Mar 17 18:36:52 2026 commencing in-memory singleton removal
  193. Tue Mar 17 18:36:53 2026 begin with 240690084 relations and 202350193 unique ideals
  194. Tue Mar 17 18:36:58 2026 reduce to 240532982 relations and 197308603 ideals in 7 passes
  195. Tue Mar 17 18:36:58 2026 max relations containing the same ideal: 105
  196. Tue Mar 17 18:37:43 2026 removing 6887393 relations and 4887393 ideals in 2000000 cliques
  197. Tue Mar 17 18:37:48 2026 commencing in-memory singleton removal
  198. Tue Mar 17 18:37:49 2026 begin with 233645589 relations and 197308603 unique ideals
  199. Tue Mar 17 18:37:53 2026 reduce to 233484387 relations and 192258485 ideals in 6 passes
  200. Tue Mar 17 18:37:53 2026 max relations containing the same ideal: 104
  201. Tue Mar 17 18:38:37 2026 removing 6895826 relations and 4895826 ideals in 2000000 cliques
  202. Tue Mar 17 18:38:42 2026 commencing in-memory singleton removal
  203. Tue Mar 17 18:38:43 2026 begin with 226588561 relations and 192258485 unique ideals
  204. Tue Mar 17 18:38:48 2026 reduce to 226421732 relations and 187194311 ideals in 6 passes
  205. Tue Mar 17 18:38:48 2026 max relations containing the same ideal: 100
  206. Tue Mar 17 18:39:31 2026 removing 6907528 relations and 4907528 ideals in 2000000 cliques
  207. Tue Mar 17 18:39:36 2026 commencing in-memory singleton removal
  208. Tue Mar 17 18:39:37 2026 begin with 219514204 relations and 187194311 unique ideals
  209. Tue Mar 17 18:39:41 2026 reduce to 219343101 relations and 182114046 ideals in 6 passes
  210. Tue Mar 17 18:39:41 2026 max relations containing the same ideal: 99
  211. Tue Mar 17 18:40:22 2026 removing 6924815 relations and 4924815 ideals in 2000000 cliques
  212. Tue Mar 17 18:40:27 2026 commencing in-memory singleton removal
  213. Tue Mar 17 18:40:28 2026 begin with 212418286 relations and 182114046 unique ideals
  214. Tue Mar 17 18:40:32 2026 reduce to 212239919 relations and 177009076 ideals in 6 passes
  215. Tue Mar 17 18:40:32 2026 max relations containing the same ideal: 97
  216. Tue Mar 17 18:41:12 2026 removing 6944994 relations and 4944994 ideals in 2000000 cliques
  217. Tue Mar 17 18:41:17 2026 commencing in-memory singleton removal
  218. Tue Mar 17 18:41:18 2026 begin with 205294925 relations and 177009076 unique ideals
  219. Tue Mar 17 18:41:22 2026 reduce to 205109843 relations and 171877144 ideals in 6 passes
  220. Tue Mar 17 18:41:22 2026 max relations containing the same ideal: 95
  221. Tue Mar 17 18:42:01 2026 removing 6968667 relations and 4968667 ideals in 2000000 cliques
  222. Tue Mar 17 18:42:05 2026 commencing in-memory singleton removal
  223. Tue Mar 17 18:42:06 2026 begin with 198141176 relations and 171877144 unique ideals
  224. Tue Mar 17 18:42:10 2026 reduce to 197949343 relations and 166714630 ideals in 7 passes
  225. Tue Mar 17 18:42:10 2026 max relations containing the same ideal: 94
  226. Tue Mar 17 18:42:48 2026 removing 6996972 relations and 4996972 ideals in 2000000 cliques
  227. Tue Mar 17 18:42:53 2026 commencing in-memory singleton removal
  228. Tue Mar 17 18:42:54 2026 begin with 190952371 relations and 166714630 unique ideals
  229. Tue Mar 17 18:42:57 2026 reduce to 190752107 relations and 161515281 ideals in 6 passes
  230. Tue Mar 17 18:42:57 2026 max relations containing the same ideal: 90
  231. Tue Mar 17 18:43:34 2026 removing 7033158 relations and 5033158 ideals in 2000000 cliques
  232. Tue Mar 17 18:43:39 2026 commencing in-memory singleton removal
  233. Tue Mar 17 18:43:39 2026 begin with 183718949 relations and 161515281 unique ideals
  234. Tue Mar 17 18:43:43 2026 reduce to 183510577 relations and 156271487 ideals in 7 passes
  235. Tue Mar 17 18:43:43 2026 max relations containing the same ideal: 89
  236. Tue Mar 17 18:44:19 2026 removing 7070687 relations and 5070687 ideals in 2000000 cliques
  237. Tue Mar 17 18:44:23 2026 commencing in-memory singleton removal
  238. Tue Mar 17 18:44:24 2026 begin with 176439890 relations and 156271487 unique ideals
  239. Tue Mar 17 18:44:28 2026 reduce to 176220154 relations and 150978667 ideals in 7 passes
  240. Tue Mar 17 18:44:28 2026 max relations containing the same ideal: 89
  241. Tue Mar 17 18:45:03 2026 removing 7119870 relations and 5119870 ideals in 2000000 cliques
  242. Tue Mar 17 18:45:07 2026 commencing in-memory singleton removal
  243. Tue Mar 17 18:45:08 2026 begin with 169100284 relations and 150978667 unique ideals
  244. Tue Mar 17 18:45:11 2026 reduce to 168870095 relations and 145626005 ideals in 7 passes
  245. Tue Mar 17 18:45:11 2026 max relations containing the same ideal: 86
  246. Tue Mar 17 18:45:45 2026 removing 7173384 relations and 5173384 ideals in 2000000 cliques
  247. Tue Mar 17 18:45:49 2026 commencing in-memory singleton removal
  248. Tue Mar 17 18:45:49 2026 begin with 161696711 relations and 145626005 unique ideals
  249. Tue Mar 17 18:45:52 2026 reduce to 161453964 relations and 140207053 ideals in 6 passes
  250. Tue Mar 17 18:45:52 2026 max relations containing the same ideal: 82
  251. Tue Mar 17 18:46:25 2026 removing 7236176 relations and 5236176 ideals in 2000000 cliques
  252. Tue Mar 17 18:46:29 2026 commencing in-memory singleton removal
  253. Tue Mar 17 18:46:29 2026 begin with 154217788 relations and 140207053 unique ideals
  254. Tue Mar 17 18:46:33 2026 reduce to 153960129 relations and 134710148 ideals in 7 passes
  255. Tue Mar 17 18:46:33 2026 max relations containing the same ideal: 81
  256. Tue Mar 17 18:47:04 2026 removing 7302419 relations and 5302419 ideals in 2000000 cliques
  257. Tue Mar 17 18:47:08 2026 commencing in-memory singleton removal
  258. Tue Mar 17 18:47:08 2026 begin with 146657710 relations and 134710148 unique ideals
  259. Tue Mar 17 18:47:11 2026 reduce to 146381364 relations and 129128058 ideals in 7 passes
  260. Tue Mar 17 18:47:11 2026 max relations containing the same ideal: 77
  261. Tue Mar 17 18:47:41 2026 removing 7377208 relations and 5377208 ideals in 2000000 cliques
  262. Tue Mar 17 18:47:45 2026 commencing in-memory singleton removal
  263. Tue Mar 17 18:47:46 2026 begin with 139004156 relations and 129128058 unique ideals
  264. Tue Mar 17 18:47:49 2026 reduce to 138708190 relations and 123451126 ideals in 7 passes
  265. Tue Mar 17 18:47:49 2026 max relations containing the same ideal: 75
  266. Tue Mar 17 18:48:17 2026 removing 7466555 relations and 5466555 ideals in 2000000 cliques
  267. Tue Mar 17 18:48:21 2026 commencing in-memory singleton removal
  268. Tue Mar 17 18:48:22 2026 begin with 131241635 relations and 123451126 unique ideals
  269. Tue Mar 17 18:48:24 2026 reduce to 130924848 relations and 117663587 ideals in 7 passes
  270. Tue Mar 17 18:48:24 2026 max relations containing the same ideal: 73
  271. Tue Mar 17 18:48:52 2026 removing 7563934 relations and 5563934 ideals in 2000000 cliques
  272. Tue Mar 17 18:48:55 2026 commencing in-memory singleton removal
  273. Tue Mar 17 18:48:56 2026 begin with 123360914 relations and 117663587 unique ideals
  274. Tue Mar 17 18:48:58 2026 reduce to 123016867 relations and 111750912 ideals in 8 passes
  275. Tue Mar 17 18:48:58 2026 max relations containing the same ideal: 72
  276. Tue Mar 17 18:49:24 2026 removing 7679051 relations and 5679051 ideals in 2000000 cliques
  277. Tue Mar 17 18:49:28 2026 commencing in-memory singleton removal
  278. Tue Mar 17 18:49:28 2026 begin with 115337816 relations and 111750912 unique ideals
  279. Tue Mar 17 18:49:31 2026 reduce to 114959612 relations and 105688410 ideals in 7 passes
  280. Tue Mar 17 18:49:31 2026 max relations containing the same ideal: 69
  281. Tue Mar 17 18:49:56 2026 removing 7804866 relations and 5804866 ideals in 2000000 cliques
  282. Tue Mar 17 18:49:59 2026 commencing in-memory singleton removal
  283. Tue Mar 17 18:49:59 2026 begin with 107154746 relations and 105688410 unique ideals
  284. Tue Mar 17 18:50:01 2026 reduce to 106735944 relations and 99458526 ideals in 7 passes
  285. Tue Mar 17 18:50:01 2026 max relations containing the same ideal: 61
  286. Tue Mar 17 18:50:24 2026 removing 7953662 relations and 5953662 ideals in 2000000 cliques
  287. Tue Mar 17 18:50:27 2026 commencing in-memory singleton removal
  288. Tue Mar 17 18:50:28 2026 begin with 98782282 relations and 99458526 unique ideals
  289. Tue Mar 17 18:50:30 2026 reduce to 98314985 relations and 93030126 ideals in 8 passes
  290. Tue Mar 17 18:50:30 2026 max relations containing the same ideal: 58
  291. Tue Mar 17 18:50:51 2026 removing 1623706 relations and 1336491 ideals in 287215 cliques
  292. Tue Mar 17 18:50:53 2026 commencing in-memory singleton removal
  293. Tue Mar 17 18:50:53 2026 begin with 96691279 relations and 93030126 unique ideals
  294. Tue Mar 17 18:50:55 2026 reduce to 96673081 relations and 91675401 ideals in 7 passes
  295. Tue Mar 17 18:50:55 2026 max relations containing the same ideal: 56
  296. Tue Mar 17 18:51:05 2026 relations with 0 large ideals: 312555
  297. Tue Mar 17 18:51:05 2026 relations with 1 large ideals: 267838
  298. Tue Mar 17 18:51:05 2026 relations with 2 large ideals: 2042976
  299. Tue Mar 17 18:51:05 2026 relations with 3 large ideals: 8213723
  300. Tue Mar 17 18:51:05 2026 relations with 4 large ideals: 18676542
  301. Tue Mar 17 18:51:05 2026 relations with 5 large ideals: 25682728
  302. Tue Mar 17 18:51:05 2026 relations with 6 large ideals: 22192907
  303. Tue Mar 17 18:51:05 2026 relations with 7+ large ideals: 19283812
  304. Tue Mar 17 18:51:05 2026 commencing 2-way merge
  305. Tue Mar 17 18:51:41 2026 reduce to 60108445 relation sets and 55110765 unique ideals
  306. Tue Mar 17 18:51:41 2026 commencing full merge
  307. Tue Mar 17 19:03:46 2026 memory use: 7011.3 MB
  308. Tue Mar 17 19:03:50 2026 found 28198334 cycles, need 27578965
  309. Tue Mar 17 19:03:58 2026 weight of 27578965 cycles is about 3034215971 (110.02/cycle)
  310. Tue Mar 17 19:03:58 2026 distribution of cycle lengths:
  311. Tue Mar 17 19:03:58 2026 1 relations: 2310157
  312. Tue Mar 17 19:03:58 2026 2 relations: 2058978
  313. Tue Mar 17 19:03:58 2026 3 relations: 2045142
  314. Tue Mar 17 19:03:58 2026 4 relations: 2023243
  315. Tue Mar 17 19:03:58 2026 5 relations: 2039668
  316. Tue Mar 17 19:03:58 2026 6 relations: 2027360
  317. Tue Mar 17 19:03:58 2026 7 relations: 1971013
  318. Tue Mar 17 19:03:58 2026 8 relations: 1895064
  319. Tue Mar 17 19:03:58 2026 9 relations: 1776900
  320. Tue Mar 17 19:03:58 2026 10+ relations: 9431440
  321. Tue Mar 17 19:03:58 2026 heaviest cycle: 27 relations
  322. Tue Mar 17 19:04:05 2026 commencing cycle optimization
  323. Tue Mar 17 19:04:43 2026 start with 214728883 relations
  324. Tue Mar 17 19:09:27 2026 pruned 8033017 relations
  325. Tue Mar 17 19:09:28 2026 memory use: 6115.3 MB
  326. Tue Mar 17 19:09:28 2026 distribution of cycle lengths:
  327. Tue Mar 17 19:09:28 2026 1 relations: 2310157
  328. Tue Mar 17 19:09:28 2026 2 relations: 2099261
  329. Tue Mar 17 19:09:28 2026 3 relations: 2117085
  330. Tue Mar 17 19:09:28 2026 4 relations: 2096251
  331. Tue Mar 17 19:09:28 2026 5 relations: 2131527
  332. Tue Mar 17 19:09:28 2026 6 relations: 2115194
  333. Tue Mar 17 19:09:28 2026 7 relations: 2066408
  334. Tue Mar 17 19:09:28 2026 8 relations: 1976211
  335. Tue Mar 17 19:09:28 2026 9 relations: 1848852
  336. Tue Mar 17 19:09:28 2026 10+ relations: 8818019
  337. Tue Mar 17 19:09:28 2026 heaviest cycle: 26 relations
  338. Tue Mar 17 19:09:57 2026 RelProcTime: 6607
  339. Tue Mar 17 19:09:57 2026 elapsed time 01:50:08
  340. Tue Mar 17 19:09:58 2026
  341. Tue Mar 17 19:09:58 2026
  342. Tue Mar 17 19:09:58 2026 Msieve v. 1.54 (SVN Unversioned directory)
  343. Tue Mar 17 19:09:58 2026 random seeds: 926dc4ed a9f018a6
  344. Tue Mar 17 19:09:58 2026 MPI process 0 of 1
  345. Tue Mar 17 19:09:58 2026 Using 46 OpenMP threads
  346. Tue Mar 17 19:09:58 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits)
  347. Tue Mar 17 19:09:59 2026 no P-1/P+1/ECM available, skipping
  348. Tue Mar 17 19:09:59 2026 commencing number field sieve (223-digit input)
  349. Tue Mar 17 19:09:59 2026 R0: 770452554484090197386587479931326064708100638279
  350. Tue Mar 17 19:09:59 2026 R1: -1
  351. Tue Mar 17 19:09:59 2026 A0: 1
  352. Tue Mar 17 19:09:59 2026 A1: 1
  353. Tue Mar 17 19:09:59 2026 A2: 1
  354. Tue Mar 17 19:09:59 2026 A3: 1
  355. Tue Mar 17 19:09:59 2026 A4: 1
  356. Tue Mar 17 19:09:59 2026 A5: 1
  357. Tue Mar 17 19:09:59 2026 A6: 1
  358. Tue Mar 17 19:09:59 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0
  359. Tue Mar 17 19:09:59 2026
  360. Tue Mar 17 19:09:59 2026 commencing linear algebra
  361. Tue Mar 17 19:09:59 2026 using VBITS=256
  362. Tue Mar 17 19:09:59 2026 stopping after matrix build
  363. Tue Mar 17 19:09:59 2026 initialized process (0,0) of 1 x 1 grid
  364. Tue Mar 17 19:10:01 2026 read 27578965 cycles
  365. Tue Mar 17 19:10:40 2026 cycles contain 94035286 unique relations
  366. Tue Mar 17 19:11:31 2026 read 94035286 relations
  367. Tue Mar 17 19:11:39 2026 using 20 quadratic characters above 4294917295
  368. Tue Mar 17 19:11:48 2026 building initial matrix
  369. Tue Mar 17 19:24:55 2026 memory use: 11991.6 MB
  370. Tue Mar 17 19:25:12 2026 read 27578965 cycles
  371. Tue Mar 17 19:25:14 2026 matrix is 27578775 x 27578965 (12104.5 MB) with weight 3430589346 (124.39/col)
  372. Tue Mar 17 19:25:14 2026 sparse part has weight 2869759541 (104.06/col)
  373. Tue Mar 17 19:29:58 2026 filtering completed in 2 passes
  374. Tue Mar 17 19:30:02 2026 matrix is 27573764 x 27573939 (12104.0 MB) with weight 3430407695 (124.41/col)
  375. Tue Mar 17 19:30:02 2026 sparse part has weight 2869678499 (104.07/col)
  376. Tue Mar 17 19:31:02 2026 BLanczosTime: 1263
  377. Tue Mar 17 19:31:02 2026 elapsed time 00:21:04
  378. Tue Mar 17 22:38:48 2026
  379. Tue Mar 17 22:38:48 2026
  380. Tue Mar 17 22:38:48 2026 Msieve v. 1.54 (SVN Unversioned directory)
  381. Tue Mar 17 22:38:48 2026 random seeds: fdbfa8ac 7446c10e
  382. Tue Mar 17 22:38:48 2026 MPI process 0 of 1
  383. Tue Mar 17 22:38:48 2026 Using 6 OpenMP threads
  384. Tue Mar 17 22:38:48 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits)
  385. Tue Mar 17 22:38:49 2026 no P-1/P+1/ECM available, skipping
  386. Tue Mar 17 22:38:49 2026 commencing number field sieve (223-digit input)
  387. Tue Mar 17 22:38:49 2026 R0: 770452554484090197386587479931326064708100638279
  388. Tue Mar 17 22:38:49 2026 R1: -1
  389. Tue Mar 17 22:38:49 2026 A0: 1
  390. Tue Mar 17 22:38:49 2026 A1: 1
  391. Tue Mar 17 22:38:49 2026 A2: 1
  392. Tue Mar 17 22:38:49 2026 A3: 1
  393. Tue Mar 17 22:38:49 2026 A4: 1
  394. Tue Mar 17 22:38:49 2026 A5: 1
  395. Tue Mar 17 22:38:49 2026 A6: 1
  396. Tue Mar 17 22:38:49 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0
  397. Tue Mar 17 22:38:49 2026
  398. Tue Mar 17 22:38:49 2026 commencing linear algebra
  399. Tue Mar 17 22:38:49 2026 using VBITS=256
  400. Tue Mar 17 22:38:49 2026 skipping matrix build
  401. Tue Mar 17 22:38:49 2026 initialized process (0,0) of 1 x 1 grid
  402. Tue Mar 17 22:39:15 2026 matrix starts at (0, 0)
  403. Tue Mar 17 22:39:19 2026 matrix is 27573764 x 27573939 (12104.0 MB) with weight 3430407695 (124.41/col)
  404. Tue Mar 17 22:39:19 2026 sparse part has weight 2869678499 (104.07/col)
  405. Tue Mar 17 22:39:19 2026 saving the first 240 matrix rows for later
  406. Tue Mar 17 22:39:29 2026 matrix includes 256 packed rows
  407. Tue Mar 17 22:39:39 2026 matrix is 27573524 x 27573939 (11281.8 MB) with weight 2638774873 (95.70/col)
  408. Tue Mar 17 22:39:39 2026 sparse part has weight 2516275449 (91.26/col)
  409. Tue Mar 17 22:39:39 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  410. Tue Mar 17 22:39:39 2026 selected card has CUDA arch 8.0
  411. Tue Mar 17 22:43:49 2026 commencing Lanczos iteration
  412. Tue Mar 17 22:43:52 2026 memory use: 27191.8 MB
  413. Tue Mar 17 22:44:47 2026 linear algebra at 0.1%, ETA 13h14m
  414. Tue Mar 17 22:46:07 2026 checking every 30000 dimensions, checkpointing every 2100000 dimensions
  415. Wed Mar 18 12:01:34 2026 lanczos halted after 108032 iterations (dim = 27573518)
  416. Wed Mar 18 12:03:33 2026 recovered 36 nontrivial dependencies
  417. Wed Mar 18 12:03:34 2026 BLanczosTime: 48285
  418. Wed Mar 18 12:03:34 2026 elapsed time 13:24:46
  419. Wed Mar 18 12:03:35 2026
  420. Wed Mar 18 12:03:35 2026
  421. Wed Mar 18 12:03:35 2026 Msieve v. 1.54 (SVN Unversioned directory)
  422. Wed Mar 18 12:03:35 2026 random seeds: d553a562 8ee81d20
  423. Wed Mar 18 12:03:35 2026 MPI process 0 of 1
  424. Wed Mar 18 12:03:35 2026 Using 32 OpenMP threads
  425. Wed Mar 18 12:03:35 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits)
  426. Wed Mar 18 12:03:36 2026 no P-1/P+1/ECM available, skipping
  427. Wed Mar 18 12:03:36 2026 commencing number field sieve (223-digit input)
  428. Wed Mar 18 12:03:36 2026 R0: 770452554484090197386587479931326064708100638279
  429. Wed Mar 18 12:03:36 2026 R1: -1
  430. Wed Mar 18 12:03:36 2026 A0: 1
  431. Wed Mar 18 12:03:36 2026 A1: 1
  432. Wed Mar 18 12:03:36 2026 A2: 1
  433. Wed Mar 18 12:03:36 2026 A3: 1
  434. Wed Mar 18 12:03:36 2026 A4: 1
  435. Wed Mar 18 12:03:36 2026 A5: 1
  436. Wed Mar 18 12:03:36 2026 A6: 1
  437. Wed Mar 18 12:03:36 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0
  438. Wed Mar 18 12:03:36 2026
  439. Wed Mar 18 12:03:36 2026 commencing square root phase
  440. Wed Mar 18 12:03:36 2026 reading relations for dependency 1
  441. Wed Mar 18 12:03:39 2026 read 13789281 cycles
  442. Wed Mar 18 12:04:03 2026 cycles contain 47012938 unique relations
  443. Wed Mar 18 12:06:40 2026 read 47012938 relations
  444. Wed Mar 18 12:09:11 2026 multiplying 47012938 relations
  445. Wed Mar 18 12:11:25 2026 multiply complete, coefficients have about 1282.36 million bits
  446. Wed Mar 18 12:11:29 2026 initial square root is modulo 565379
  447. Wed Mar 18 12:18:11 2026 GCD is 1, no factor found
  448. Wed Mar 18 12:18:11 2026 reading relations for dependency 2
  449. Wed Mar 18 12:18:13 2026 read 13789419 cycles
  450. Wed Mar 18 12:18:39 2026 cycles contain 47022456 unique relations
  451. Wed Mar 18 12:19:29 2026 read 47022456 relations
  452. Wed Mar 18 12:22:06 2026 multiplying 47022456 relations
  453. Wed Mar 18 12:24:20 2026 multiply complete, coefficients have about 1282.63 million bits
  454. Wed Mar 18 12:24:24 2026 initial square root is modulo 566947
  455. Wed Mar 18 12:31:01 2026 GCD is 1, no factor found
  456. Wed Mar 18 12:31:01 2026 reading relations for dependency 3
  457. Wed Mar 18 12:31:04 2026 read 13784414 cycles
  458. Wed Mar 18 12:31:29 2026 cycles contain 47009626 unique relations
  459. Wed Mar 18 12:32:11 2026 read 47009626 relations
  460. Wed Mar 18 12:35:15 2026 multiplying 47009626 relations
  461. Wed Mar 18 12:37:27 2026 multiply complete, coefficients have about 1282.26 million bits
  462. Wed Mar 18 12:37:31 2026 initial square root is modulo 564793
  463. Wed Mar 18 12:44:07 2026 GCD is 1, no factor found
  464. Wed Mar 18 12:44:07 2026 reading relations for dependency 4
  465. Wed Mar 18 12:44:09 2026 read 13790010 cycles
  466. Wed Mar 18 12:44:34 2026 cycles contain 47023346 unique relations
  467. Wed Mar 18 12:45:17 2026 read 47023346 relations
  468. Wed Mar 18 12:48:14 2026 multiplying 47023346 relations
  469. Wed Mar 18 12:50:28 2026 multiply complete, coefficients have about 1282.65 million bits
  470. Wed Mar 18 12:50:32 2026 initial square root is modulo 567059
  471. Wed Mar 18 12:57:09 2026 GCD is 1, no factor found
  472. Wed Mar 18 12:57:09 2026 reading relations for dependency 5
  473. Wed Mar 18 12:57:11 2026 read 13788484 cycles
  474. Wed Mar 18 12:57:32 2026 cycles contain 47025742 unique relations
  475. Wed Mar 18 12:58:13 2026 read 47025742 relations
  476. Wed Mar 18 13:01:17 2026 multiplying 47025742 relations
  477. Wed Mar 18 13:03:30 2026 multiply complete, coefficients have about 1282.72 million bits
  478. Wed Mar 18 13:03:34 2026 initial square root is modulo 567493
  479. Wed Mar 18 13:10:10 2026 GCD is 1, no factor found
  480. Wed Mar 18 13:10:10 2026 reading relations for dependency 6
  481. Wed Mar 18 13:10:12 2026 read 13790636 cycles
  482. Wed Mar 18 13:10:35 2026 cycles contain 47028648 unique relations
  483. Wed Mar 18 13:11:19 2026 read 47028648 relations
  484. Wed Mar 18 13:14:15 2026 multiplying 47028648 relations
  485. Wed Mar 18 13:16:28 2026 multiply complete, coefficients have about 1282.81 million bits
  486. Wed Mar 18 13:16:32 2026 initial square root is modulo 567997
  487. Wed Mar 18 13:23:11 2026 GCD is 1, no factor found
  488. Wed Mar 18 13:23:11 2026 reading relations for dependency 7
  489. Wed Mar 18 13:23:14 2026 read 13784691 cycles
  490. Wed Mar 18 13:23:38 2026 cycles contain 47008014 unique relations
  491. Wed Mar 18 13:24:21 2026 read 47008014 relations
  492. Wed Mar 18 13:26:48 2026 multiplying 47008014 relations
  493. Wed Mar 18 13:29:01 2026 multiply complete, coefficients have about 1282.22 million bits
  494. Wed Mar 18 13:29:04 2026 initial square root is modulo 564653
  495. Wed Mar 18 13:35:44 2026 sqrtTime: 5528
  496. Wed Mar 18 13:35:44 2026 p71 factor: 13937926933472683487680716355573331437217594666094125489252011465524631
  497. Wed Mar 18 13:35:44 2026 p153 factor: 358283489345097870626284574805502837798464913722331169129825479755419610784585910449928910026022404949033492148670653991162142442440032623969976731205611
  498. Wed Mar 18 13:35:44 2026 elapsed time 01:32:09
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