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  1. Tue Jan 6 03:19:04 2026
  2. Tue Jan 6 03:19:04 2026
  3. Tue Jan 6 03:19:04 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jan 6 03:19:04 2026 random seeds: 1e8753b4 62b46de7
  5. Tue Jan 6 03:19:04 2026 factoring 236114799534203231660387686893308192996531278346883688172986187046458370830105359015093082108464350873509305259032907900090251939747634137638750028564935267127957763049116883887684431 (183 digits)
  6. Tue Jan 6 03:19:04 2026 no P-1/P+1/ECM available, skipping
  7. Tue Jan 6 03:19:04 2026 commencing number field sieve (183-digit input)
  8. Tue Jan 6 03:19:04 2026 R0: 15771737294259260850279453309238710070219958973599956663
  9. Tue Jan 6 03:19:04 2026 R1: -1
  10. Tue Jan 6 03:19:04 2026 A0: 1
  11. Tue Jan 6 03:19:04 2026 A1: 1
  12. Tue Jan 6 03:19:04 2026 A2: 1
  13. Tue Jan 6 03:19:04 2026 A3: 1
  14. Tue Jan 6 03:19:04 2026 A4: 1
  15. Tue Jan 6 03:19:04 2026 skew 1.96, size 1.706e-22, alpha 1.694, combined = 2.093e-13 rroots = 0
  16. Tue Jan 6 03:19:04 2026
  17. Tue Jan 6 03:19:04 2026 commencing relation filtering
  18. Tue Jan 6 03:19:04 2026 setting target matrix density to 110.0
  19. Tue Jan 6 03:19:04 2026 estimated available RAM is 85467.8 MB
  20. Tue Jan 6 03:19:04 2026 commencing duplicate removal, pass 1
  21. Tue Jan 6 03:24:05 2026 error -1 reading relation 29653300
  22. Tue Jan 6 03:31:24 2026 error -1 reading relation 73116976
  23. Tue Jan 6 03:44:56 2026 error -1 reading relation 153424745
  24. Tue Jan 6 03:45:01 2026 error -15 reading relation 153863456
  25. Tue Jan 6 03:46:51 2026 error -1 reading relation 164734681
  26. Tue Jan 6 04:00:51 2026 error -1 reading relation 247718898
  27. Tue Jan 6 04:06:33 2026 error -1 reading relation 281606168
  28. Tue Jan 6 04:07:00 2026 error -1 reading relation 284217388
  29. Tue Jan 6 04:07:47 2026 error -1 reading relation 288894291
  30. Tue Jan 6 04:08:20 2026 error -1 reading relation 292119762
  31. Tue Jan 6 04:08:20 2026 error -1 reading relation 292122891
  32. Tue Jan 6 04:08:42 2026 error -1 reading relation 294330630
  33. Tue Jan 6 04:11:37 2026 error -1 reading relation 311583824
  34. Tue Jan 6 04:13:04 2026 error -1 reading relation 320130882
  35. Tue Jan 6 04:15:42 2026 error -1 reading relation 335709401
  36. Tue Jan 6 04:16:41 2026 error -1 reading relation 341534095
  37. Tue Jan 6 04:26:06 2026 error -1 reading relation 398156607
  38. Tue Jan 6 04:30:11 2026 error -1 reading relation 422531274
  39. Tue Jan 6 04:33:12 2026 error -1 reading relation 440517786
  40. Tue Jan 6 04:35:40 2026 skipped 2169 relations with b > 2^32
  41. Tue Jan 6 04:35:40 2026 skipped 145 malformed relations
  42. Tue Jan 6 04:35:40 2026 found 63138885 hash collisions in 455290010 relations
  43. Tue Jan 6 04:35:50 2026 added 3657741 free relations
  44. Tue Jan 6 04:35:50 2026 commencing duplicate removal, pass 2
  45. Tue Jan 6 04:45:15 2026 found 52478991 duplicates and 406468760 unique relations
  46. Tue Jan 6 04:45:15 2026 memory use: 1705.5 MB
  47. Tue Jan 6 04:45:15 2026 reading ideals above 193658880
  48. Tue Jan 6 04:45:15 2026 commencing singleton removal, initial pass
  49. Tue Jan 6 05:39:00 2026 memory use: 6024.0 MB
  50. Tue Jan 6 05:39:00 2026 reading all ideals from disk
  51. Tue Jan 6 05:39:30 2026 memory use: 10183.0 MB
  52. Tue Jan 6 05:39:56 2026 commencing in-memory singleton removal
  53. Tue Jan 6 05:40:44 2026 begin with 406468760 relations and 296254008 unique ideals
  54. Tue Jan 6 05:43:39 2026 reduce to 290343910 relations and 171233499 ideals in 11 passes
  55. Tue Jan 6 05:43:39 2026 max relations containing the same ideal: 38
  56. Tue Jan 6 05:44:03 2026 reading ideals above 720000
  57. Tue Jan 6 05:44:03 2026 commencing singleton removal, initial pass
  58. Tue Jan 6 06:35:16 2026 memory use: 5512.0 MB
  59. Tue Jan 6 06:35:16 2026 reading all ideals from disk
  60. Tue Jan 6 06:35:24 2026 memory use: 13770.1 MB
  61. Tue Jan 6 06:36:14 2026 keeping 191263015 ideals with weight <= 200, target excess is 1464406
  62. Tue Jan 6 06:37:04 2026 commencing in-memory singleton removal
  63. Tue Jan 6 06:38:23 2026 begin with 290343910 relations and 191263015 unique ideals
  64. Tue Jan 6 06:39:21 2026 reduce to 290343805 relations and 191262910 ideals in 2 passes
  65. Tue Jan 6 06:39:21 2026 max relations containing the same ideal: 200
  66. Tue Jan 6 06:42:39 2026 removing 8931617 relations and 6931617 ideals in 2000000 cliques
  67. Tue Jan 6 06:42:48 2026 commencing in-memory singleton removal
  68. Tue Jan 6 06:44:05 2026 begin with 281412188 relations and 191262910 unique ideals
  69. Tue Jan 6 06:46:49 2026 reduce to 281199223 relations and 184116287 ideals in 6 passes
  70. Tue Jan 6 06:46:49 2026 max relations containing the same ideal: 200
  71. Tue Jan 6 06:50:01 2026 removing 6954108 relations and 4954108 ideals in 2000000 cliques
  72. Tue Jan 6 06:50:10 2026 commencing in-memory singleton removal
  73. Tue Jan 6 06:51:25 2026 begin with 274245115 relations and 184116287 unique ideals
  74. Tue Jan 6 06:54:04 2026 reduce to 274098533 relations and 179014369 ideals in 6 passes
  75. Tue Jan 6 06:54:04 2026 max relations containing the same ideal: 199
  76. Tue Jan 6 06:57:14 2026 removing 6386910 relations and 4386910 ideals in 2000000 cliques
  77. Tue Jan 6 06:57:22 2026 commencing in-memory singleton removal
  78. Tue Jan 6 06:58:35 2026 begin with 267711623 relations and 179014369 unique ideals
  79. Tue Jan 6 07:01:08 2026 reduce to 267586139 relations and 174500969 ideals in 6 passes
  80. Tue Jan 6 07:01:08 2026 max relations containing the same ideal: 197
  81. Tue Jan 6 07:04:10 2026 removing 6080646 relations and 4080646 ideals in 2000000 cliques
  82. Tue Jan 6 07:04:18 2026 commencing in-memory singleton removal
  83. Tue Jan 6 07:05:29 2026 begin with 261505493 relations and 174500969 unique ideals
  84. Tue Jan 6 07:08:00 2026 reduce to 261393221 relations and 170307160 ideals in 6 passes
  85. Tue Jan 6 07:08:00 2026 max relations containing the same ideal: 197
  86. Tue Jan 6 07:10:58 2026 removing 5878241 relations and 3878241 ideals in 2000000 cliques
  87. Tue Jan 6 07:11:06 2026 commencing in-memory singleton removal
  88. Tue Jan 6 07:12:15 2026 begin with 255514980 relations and 170307160 unique ideals
  89. Tue Jan 6 07:14:17 2026 reduce to 255410309 relations and 166323358 ideals in 5 passes
  90. Tue Jan 6 07:14:17 2026 max relations containing the same ideal: 193
  91. Tue Jan 6 07:17:12 2026 removing 5729752 relations and 3729752 ideals in 2000000 cliques
  92. Tue Jan 6 07:17:20 2026 commencing in-memory singleton removal
  93. Tue Jan 6 07:18:28 2026 begin with 249680557 relations and 166323358 unique ideals
  94. Tue Jan 6 07:20:51 2026 reduce to 249581326 relations and 162493489 ideals in 6 passes
  95. Tue Jan 6 07:20:51 2026 max relations containing the same ideal: 192
  96. Tue Jan 6 07:23:40 2026 removing 5615829 relations and 3615829 ideals in 2000000 cliques
  97. Tue Jan 6 07:23:48 2026 commencing in-memory singleton removal
  98. Tue Jan 6 07:24:53 2026 begin with 243965497 relations and 162493489 unique ideals
  99. Tue Jan 6 07:27:13 2026 reduce to 243870876 relations and 158782189 ideals in 6 passes
  100. Tue Jan 6 07:27:13 2026 max relations containing the same ideal: 189
  101. Tue Jan 6 07:30:00 2026 removing 5522371 relations and 3522371 ideals in 2000000 cliques
  102. Tue Jan 6 07:30:08 2026 commencing in-memory singleton removal
  103. Tue Jan 6 07:31:12 2026 begin with 238348505 relations and 158782189 unique ideals
  104. Tue Jan 6 07:33:27 2026 reduce to 238257332 relations and 155167809 ideals in 6 passes
  105. Tue Jan 6 07:33:27 2026 max relations containing the same ideal: 186
  106. Tue Jan 6 07:36:09 2026 removing 5443304 relations and 3443304 ideals in 2000000 cliques
  107. Tue Jan 6 07:36:16 2026 commencing in-memory singleton removal
  108. Tue Jan 6 07:37:18 2026 begin with 232814028 relations and 155167809 unique ideals
  109. Tue Jan 6 07:39:30 2026 reduce to 232724505 relations and 151634131 ideals in 6 passes
  110. Tue Jan 6 07:39:30 2026 max relations containing the same ideal: 184
  111. Tue Jan 6 07:42:08 2026 removing 5380711 relations and 3380711 ideals in 2000000 cliques
  112. Tue Jan 6 07:42:16 2026 commencing in-memory singleton removal
  113. Tue Jan 6 07:43:17 2026 begin with 227343794 relations and 151634131 unique ideals
  114. Tue Jan 6 07:45:04 2026 reduce to 227256453 relations and 148165194 ideals in 5 passes
  115. Tue Jan 6 07:45:04 2026 max relations containing the same ideal: 182
  116. Tue Jan 6 07:47:39 2026 removing 5324555 relations and 3324555 ideals in 2000000 cliques
  117. Tue Jan 6 07:47:46 2026 commencing in-memory singleton removal
  118. Tue Jan 6 07:48:46 2026 begin with 221931898 relations and 148165194 unique ideals
  119. Tue Jan 6 07:50:30 2026 reduce to 221845676 relations and 144753517 ideals in 5 passes
  120. Tue Jan 6 07:50:30 2026 max relations containing the same ideal: 179
  121. Tue Jan 6 07:53:00 2026 removing 5273594 relations and 3273594 ideals in 2000000 cliques
  122. Tue Jan 6 07:53:07 2026 commencing in-memory singleton removal
  123. Tue Jan 6 07:54:05 2026 begin with 216572082 relations and 144753517 unique ideals
  124. Tue Jan 6 07:55:45 2026 reduce to 216487026 relations and 141393962 ideals in 5 passes
  125. Tue Jan 6 07:55:45 2026 max relations containing the same ideal: 178
  126. Tue Jan 6 07:58:13 2026 removing 5228498 relations and 3228498 ideals in 2000000 cliques
  127. Tue Jan 6 07:58:20 2026 commencing in-memory singleton removal
  128. Tue Jan 6 07:59:16 2026 begin with 211258528 relations and 141393962 unique ideals
  129. Tue Jan 6 08:00:54 2026 reduce to 211173910 relations and 138079886 ideals in 5 passes
  130. Tue Jan 6 08:00:54 2026 max relations containing the same ideal: 175
  131. Tue Jan 6 08:03:16 2026 removing 5190395 relations and 3190395 ideals in 2000000 cliques
  132. Tue Jan 6 08:03:23 2026 commencing in-memory singleton removal
  133. Tue Jan 6 08:04:18 2026 begin with 205983515 relations and 138079886 unique ideals
  134. Tue Jan 6 08:05:53 2026 reduce to 205899588 relations and 134804600 ideals in 5 passes
  135. Tue Jan 6 08:05:53 2026 max relations containing the same ideal: 174
  136. Tue Jan 6 08:08:12 2026 removing 5155250 relations and 3155250 ideals in 2000000 cliques
  137. Tue Jan 6 08:08:19 2026 commencing in-memory singleton removal
  138. Tue Jan 6 08:09:12 2026 begin with 200744338 relations and 134804600 unique ideals
  139. Tue Jan 6 08:10:43 2026 reduce to 200659951 relations and 131563876 ideals in 5 passes
  140. Tue Jan 6 08:10:43 2026 max relations containing the same ideal: 171
  141. Tue Jan 6 08:12:57 2026 removing 5121642 relations and 3121642 ideals in 2000000 cliques
  142. Tue Jan 6 08:13:04 2026 commencing in-memory singleton removal
  143. Tue Jan 6 08:13:55 2026 begin with 195538309 relations and 131563876 unique ideals
  144. Tue Jan 6 08:15:24 2026 reduce to 195454687 relations and 128357658 ideals in 5 passes
  145. Tue Jan 6 08:15:24 2026 max relations containing the same ideal: 169
  146. Tue Jan 6 08:17:35 2026 removing 5091340 relations and 3091340 ideals in 2000000 cliques
  147. Tue Jan 6 08:17:41 2026 commencing in-memory singleton removal
  148. Tue Jan 6 08:18:31 2026 begin with 190363347 relations and 128357658 unique ideals
  149. Tue Jan 6 08:19:58 2026 reduce to 190279454 relations and 125181346 ideals in 5 passes
  150. Tue Jan 6 08:19:58 2026 max relations containing the same ideal: 166
  151. Tue Jan 6 08:22:06 2026 removing 5062750 relations and 3062750 ideals in 2000000 cliques
  152. Tue Jan 6 08:22:12 2026 commencing in-memory singleton removal
  153. Tue Jan 6 08:23:01 2026 begin with 185216704 relations and 125181346 unique ideals
  154. Tue Jan 6 08:24:25 2026 reduce to 185132258 relations and 122033007 ideals in 5 passes
  155. Tue Jan 6 08:24:25 2026 max relations containing the same ideal: 164
  156. Tue Jan 6 08:26:28 2026 removing 5039029 relations and 3039029 ideals in 2000000 cliques
  157. Tue Jan 6 08:26:34 2026 commencing in-memory singleton removal
  158. Tue Jan 6 08:27:22 2026 begin with 180093229 relations and 122033007 unique ideals
  159. Tue Jan 6 08:28:59 2026 reduce to 180008675 relations and 118908277 ideals in 6 passes
  160. Tue Jan 6 08:28:59 2026 max relations containing the same ideal: 161
  161. Tue Jan 6 08:31:00 2026 removing 5013719 relations and 3013719 ideals in 2000000 cliques
  162. Tue Jan 6 08:31:06 2026 commencing in-memory singleton removal
  163. Tue Jan 6 08:31:52 2026 begin with 174994956 relations and 118908277 unique ideals
  164. Tue Jan 6 08:33:10 2026 reduce to 174909319 relations and 115807740 ideals in 5 passes
  165. Tue Jan 6 08:33:10 2026 max relations containing the same ideal: 158
  166. Tue Jan 6 08:35:07 2026 removing 4996499 relations and 2996499 ideals in 2000000 cliques
  167. Tue Jan 6 08:35:13 2026 commencing in-memory singleton removal
  168. Tue Jan 6 08:35:57 2026 begin with 169912820 relations and 115807740 unique ideals
  169. Tue Jan 6 08:37:14 2026 reduce to 169826731 relations and 112723911 ideals in 5 passes
  170. Tue Jan 6 08:37:14 2026 max relations containing the same ideal: 154
  171. Tue Jan 6 08:39:09 2026 removing 4974189 relations and 2974189 ideals in 2000000 cliques
  172. Tue Jan 6 08:39:14 2026 commencing in-memory singleton removal
  173. Tue Jan 6 08:39:57 2026 begin with 164852542 relations and 112723911 unique ideals
  174. Tue Jan 6 08:41:11 2026 reduce to 164765996 relations and 109661857 ideals in 5 passes
  175. Tue Jan 6 08:41:11 2026 max relations containing the same ideal: 151
  176. Tue Jan 6 08:43:00 2026 removing 4959148 relations and 2959148 ideals in 2000000 cliques
  177. Tue Jan 6 08:43:05 2026 commencing in-memory singleton removal
  178. Tue Jan 6 08:43:47 2026 begin with 159806848 relations and 109661857 unique ideals
  179. Tue Jan 6 08:44:57 2026 reduce to 159718281 relations and 106612765 ideals in 5 passes
  180. Tue Jan 6 08:44:57 2026 max relations containing the same ideal: 150
  181. Tue Jan 6 08:46:43 2026 removing 4943619 relations and 2943619 ideals in 2000000 cliques
  182. Tue Jan 6 08:46:48 2026 commencing in-memory singleton removal
  183. Tue Jan 6 08:47:29 2026 begin with 154774662 relations and 106612765 unique ideals
  184. Tue Jan 6 08:48:37 2026 reduce to 154685072 relations and 103578109 ideals in 5 passes
  185. Tue Jan 6 08:48:37 2026 max relations containing the same ideal: 148
  186. Tue Jan 6 08:50:21 2026 removing 4926492 relations and 2926492 ideals in 2000000 cliques
  187. Tue Jan 6 08:50:27 2026 commencing in-memory singleton removal
  188. Tue Jan 6 08:51:05 2026 begin with 149758580 relations and 103578109 unique ideals
  189. Tue Jan 6 08:52:12 2026 reduce to 149667398 relations and 100558977 ideals in 5 passes
  190. Tue Jan 6 08:52:12 2026 max relations containing the same ideal: 146
  191. Tue Jan 6 08:53:51 2026 removing 4914076 relations and 2914076 ideals in 2000000 cliques
  192. Tue Jan 6 08:53:56 2026 commencing in-memory singleton removal
  193. Tue Jan 6 08:54:33 2026 begin with 144753322 relations and 100558977 unique ideals
  194. Tue Jan 6 08:55:36 2026 reduce to 144660835 relations and 97550874 ideals in 5 passes
  195. Tue Jan 6 08:55:36 2026 max relations containing the same ideal: 144
  196. Tue Jan 6 08:57:12 2026 removing 4903232 relations and 2903232 ideals in 2000000 cliques
  197. Tue Jan 6 08:57:17 2026 commencing in-memory singleton removal
  198. Tue Jan 6 08:57:52 2026 begin with 139757603 relations and 97550874 unique ideals
  199. Tue Jan 6 08:58:54 2026 reduce to 139661971 relations and 94550411 ideals in 5 passes
  200. Tue Jan 6 08:58:54 2026 max relations containing the same ideal: 137
  201. Tue Jan 6 09:00:27 2026 removing 4892662 relations and 2892662 ideals in 2000000 cliques
  202. Tue Jan 6 09:00:32 2026 commencing in-memory singleton removal
  203. Tue Jan 6 09:01:07 2026 begin with 134769309 relations and 94550411 unique ideals
  204. Tue Jan 6 09:02:18 2026 reduce to 134672385 relations and 91559105 ideals in 6 passes
  205. Tue Jan 6 09:02:18 2026 max relations containing the same ideal: 135
  206. Tue Jan 6 09:03:48 2026 removing 4881725 relations and 2881725 ideals in 2000000 cliques
  207. Tue Jan 6 09:03:53 2026 commencing in-memory singleton removal
  208. Tue Jan 6 09:04:27 2026 begin with 129790660 relations and 91559105 unique ideals
  209. Tue Jan 6 09:05:34 2026 reduce to 129690303 relations and 88575412 ideals in 6 passes
  210. Tue Jan 6 09:05:34 2026 max relations containing the same ideal: 132
  211. Tue Jan 6 09:07:00 2026 removing 4875115 relations and 2875115 ideals in 2000000 cliques
  212. Tue Jan 6 09:07:05 2026 commencing in-memory singleton removal
  213. Tue Jan 6 09:07:36 2026 begin with 124815188 relations and 88575412 unique ideals
  214. Tue Jan 6 09:08:40 2026 reduce to 124711638 relations and 85594956 ideals in 6 passes
  215. Tue Jan 6 09:08:40 2026 max relations containing the same ideal: 125
  216. Tue Jan 6 09:10:03 2026 removing 4872602 relations and 2872602 ideals in 2000000 cliques
  217. Tue Jan 6 09:10:07 2026 commencing in-memory singleton removal
  218. Tue Jan 6 09:10:37 2026 begin with 119839036 relations and 85594956 unique ideals
  219. Tue Jan 6 09:11:29 2026 reduce to 119731267 relations and 82612638 ideals in 5 passes
  220. Tue Jan 6 09:11:29 2026 max relations containing the same ideal: 122
  221. Tue Jan 6 09:12:49 2026 removing 4867832 relations and 2867832 ideals in 2000000 cliques
  222. Tue Jan 6 09:12:53 2026 commencing in-memory singleton removal
  223. Tue Jan 6 09:13:22 2026 begin with 114863435 relations and 82612638 unique ideals
  224. Tue Jan 6 09:14:21 2026 reduce to 114751944 relations and 79631253 ideals in 6 passes
  225. Tue Jan 6 09:14:21 2026 max relations containing the same ideal: 118
  226. Tue Jan 6 09:15:36 2026 removing 4868331 relations and 2868331 ideals in 2000000 cliques
  227. Tue Jan 6 09:15:40 2026 commencing in-memory singleton removal
  228. Tue Jan 6 09:16:08 2026 begin with 109883613 relations and 79631253 unique ideals
  229. Tue Jan 6 09:16:53 2026 reduce to 109766724 relations and 76643813 ideals in 5 passes
  230. Tue Jan 6 09:16:53 2026 max relations containing the same ideal: 114
  231. Tue Jan 6 09:18:06 2026 removing 4870023 relations and 2870023 ideals in 2000000 cliques
  232. Tue Jan 6 09:18:10 2026 commencing in-memory singleton removal
  233. Tue Jan 6 09:18:37 2026 begin with 104896701 relations and 76643813 unique ideals
  234. Tue Jan 6 09:19:21 2026 reduce to 104774452 relations and 73649145 ideals in 5 passes
  235. Tue Jan 6 09:19:21 2026 max relations containing the same ideal: 110
  236. Tue Jan 6 09:20:31 2026 removing 4873021 relations and 2873021 ideals in 2000000 cliques
  237. Tue Jan 6 09:20:34 2026 commencing in-memory singleton removal
  238. Tue Jan 6 09:20:59 2026 begin with 99901431 relations and 73649145 unique ideals
  239. Tue Jan 6 09:21:40 2026 reduce to 99772248 relations and 70644282 ideals in 5 passes
  240. Tue Jan 6 09:21:40 2026 max relations containing the same ideal: 108
  241. Tue Jan 6 09:22:46 2026 removing 4879323 relations and 2879323 ideals in 2000000 cliques
  242. Tue Jan 6 09:22:50 2026 commencing in-memory singleton removal
  243. Tue Jan 6 09:23:14 2026 begin with 94892925 relations and 70644282 unique ideals
  244. Tue Jan 6 09:24:01 2026 reduce to 94756454 relations and 67625636 ideals in 6 passes
  245. Tue Jan 6 09:24:01 2026 max relations containing the same ideal: 104
  246. Tue Jan 6 09:25:03 2026 removing 4891159 relations and 2891159 ideals in 2000000 cliques
  247. Tue Jan 6 09:25:06 2026 commencing in-memory singleton removal
  248. Tue Jan 6 09:25:28 2026 begin with 89865295 relations and 67625636 unique ideals
  249. Tue Jan 6 09:26:12 2026 reduce to 89718465 relations and 64584505 ideals in 6 passes
  250. Tue Jan 6 09:26:12 2026 max relations containing the same ideal: 101
  251. Tue Jan 6 09:27:12 2026 removing 4905267 relations and 2905267 ideals in 2000000 cliques
  252. Tue Jan 6 09:27:15 2026 commencing in-memory singleton removal
  253. Tue Jan 6 09:27:36 2026 begin with 84813198 relations and 64584505 unique ideals
  254. Tue Jan 6 09:28:17 2026 reduce to 84655444 relations and 61517967 ideals in 6 passes
  255. Tue Jan 6 09:28:17 2026 max relations containing the same ideal: 97
  256. Tue Jan 6 09:29:13 2026 removing 4926683 relations and 2926683 ideals in 2000000 cliques
  257. Tue Jan 6 09:29:17 2026 commencing in-memory singleton removal
  258. Tue Jan 6 09:29:36 2026 begin with 79728761 relations and 61517967 unique ideals
  259. Tue Jan 6 09:30:09 2026 reduce to 79558805 relations and 58417461 ideals in 5 passes
  260. Tue Jan 6 09:30:09 2026 max relations containing the same ideal: 94
  261. Tue Jan 6 09:31:01 2026 removing 4953208 relations and 2953208 ideals in 2000000 cliques
  262. Tue Jan 6 09:31:05 2026 commencing in-memory singleton removal
  263. Tue Jan 6 09:31:23 2026 begin with 74605597 relations and 58417461 unique ideals
  264. Tue Jan 6 09:31:58 2026 reduce to 74420189 relations and 55274488 ideals in 6 passes
  265. Tue Jan 6 09:31:58 2026 max relations containing the same ideal: 90
  266. Tue Jan 6 09:32:47 2026 removing 4986661 relations and 2986661 ideals in 2000000 cliques
  267. Tue Jan 6 09:32:50 2026 commencing in-memory singleton removal
  268. Tue Jan 6 09:33:07 2026 begin with 69433528 relations and 55274488 unique ideals
  269. Tue Jan 6 09:33:34 2026 reduce to 69228300 relations and 52077447 ideals in 5 passes
  270. Tue Jan 6 09:33:34 2026 max relations containing the same ideal: 83
  271. Tue Jan 6 09:34:19 2026 removing 5032373 relations and 3032373 ideals in 2000000 cliques
  272. Tue Jan 6 09:34:22 2026 commencing in-memory singleton removal
  273. Tue Jan 6 09:34:38 2026 begin with 64195927 relations and 52077447 unique ideals
  274. Tue Jan 6 09:35:07 2026 reduce to 63966533 relations and 48809693 ideals in 6 passes
  275. Tue Jan 6 09:35:07 2026 max relations containing the same ideal: 79
  276. Tue Jan 6 09:35:48 2026 removing 5087375 relations and 3087375 ideals in 2000000 cliques
  277. Tue Jan 6 09:35:51 2026 commencing in-memory singleton removal
  278. Tue Jan 6 09:36:05 2026 begin with 58879158 relations and 48809693 unique ideals
  279. Tue Jan 6 09:36:31 2026 reduce to 58623482 relations and 45459349 ideals in 6 passes
  280. Tue Jan 6 09:36:31 2026 max relations containing the same ideal: 72
  281. Tue Jan 6 09:37:10 2026 removing 5155871 relations and 3155871 ideals in 2000000 cliques
  282. Tue Jan 6 09:37:12 2026 commencing in-memory singleton removal
  283. Tue Jan 6 09:37:25 2026 begin with 53467611 relations and 45459349 unique ideals
  284. Tue Jan 6 09:37:48 2026 reduce to 53174475 relations and 42001278 ideals in 6 passes
  285. Tue Jan 6 09:37:48 2026 max relations containing the same ideal: 69
  286. Tue Jan 6 09:38:23 2026 removing 5245107 relations and 3245107 ideals in 2000000 cliques
  287. Tue Jan 6 09:38:25 2026 commencing in-memory singleton removal
  288. Tue Jan 6 09:38:36 2026 begin with 47929368 relations and 42001278 unique ideals
  289. Tue Jan 6 09:38:56 2026 reduce to 47588443 relations and 38403971 ideals in 6 passes
  290. Tue Jan 6 09:38:56 2026 max relations containing the same ideal: 63
  291. Tue Jan 6 09:39:27 2026 removing 5355836 relations and 3355836 ideals in 2000000 cliques
  292. Tue Jan 6 09:39:30 2026 commencing in-memory singleton removal
  293. Tue Jan 6 09:39:39 2026 begin with 42232607 relations and 38403971 unique ideals
  294. Tue Jan 6 09:40:00 2026 reduce to 41828374 relations and 34629183 ideals in 7 passes
  295. Tue Jan 6 09:40:00 2026 max relations containing the same ideal: 60
  296. Tue Jan 6 09:40:28 2026 removing 5496322 relations and 3496322 ideals in 2000000 cliques
  297. Tue Jan 6 09:40:30 2026 commencing in-memory singleton removal
  298. Tue Jan 6 09:40:38 2026 begin with 36332052 relations and 34629183 unique ideals
  299. Tue Jan 6 09:40:53 2026 reduce to 35841790 relations and 30622260 ideals in 6 passes
  300. Tue Jan 6 09:40:53 2026 max relations containing the same ideal: 54
  301. Tue Jan 6 09:41:17 2026 removing 5669466 relations and 3669466 ideals in 2000000 cliques
  302. Tue Jan 6 09:41:19 2026 commencing in-memory singleton removal
  303. Tue Jan 6 09:41:25 2026 begin with 30172324 relations and 30622260 unique ideals
  304. Tue Jan 6 09:41:41 2026 reduce to 29550684 relations and 26301609 ideals in 8 passes
  305. Tue Jan 6 09:41:41 2026 max relations containing the same ideal: 48
  306. Tue Jan 6 09:42:01 2026 removing 4737729 relations and 3187365 ideals in 1550364 cliques
  307. Tue Jan 6 09:42:03 2026 commencing in-memory singleton removal
  308. Tue Jan 6 09:42:08 2026 begin with 24812955 relations and 26301609 unique ideals
  309. Tue Jan 6 09:42:19 2026 reduce to 24241815 relations and 22516593 ideals in 8 passes
  310. Tue Jan 6 09:42:19 2026 max relations containing the same ideal: 43
  311. Tue Jan 6 09:42:35 2026 removing 163260 relations and 136749 ideals in 26511 cliques
  312. Tue Jan 6 09:42:37 2026 commencing in-memory singleton removal
  313. Tue Jan 6 09:42:41 2026 begin with 24078555 relations and 22516593 unique ideals
  314. Tue Jan 6 09:42:48 2026 reduce to 24077632 relations and 22378920 ideals in 5 passes
  315. Tue Jan 6 09:42:48 2026 max relations containing the same ideal: 43
  316. Tue Jan 6 09:42:52 2026 relations with 0 large ideals: 114807
  317. Tue Jan 6 09:42:52 2026 relations with 1 large ideals: 54144
  318. Tue Jan 6 09:42:52 2026 relations with 2 large ideals: 560732
  319. Tue Jan 6 09:42:52 2026 relations with 3 large ideals: 2430555
  320. Tue Jan 6 09:42:52 2026 relations with 4 large ideals: 5446140
  321. Tue Jan 6 09:42:52 2026 relations with 5 large ideals: 7414310
  322. Tue Jan 6 09:42:52 2026 relations with 6 large ideals: 4979348
  323. Tue Jan 6 09:42:52 2026 relations with 7+ large ideals: 3077596
  324. Tue Jan 6 09:42:52 2026 commencing 2-way merge
  325. Tue Jan 6 09:43:16 2026 reduce to 15615370 relation sets and 13916658 unique ideals
  326. Tue Jan 6 09:43:16 2026 commencing full merge
  327. Tue Jan 6 09:48:34 2026 memory use: 1781.3 MB
  328. Tue Jan 6 09:48:35 2026 found 7284899 cycles, need 7110858
  329. Tue Jan 6 09:48:38 2026 weight of 7110858 cycles is about 782821492 (110.09/cycle)
  330. Tue Jan 6 09:48:38 2026 distribution of cycle lengths:
  331. Tue Jan 6 09:48:38 2026 1 relations: 376330
  332. Tue Jan 6 09:48:38 2026 2 relations: 415320
  333. Tue Jan 6 09:48:38 2026 3 relations: 480322
  334. Tue Jan 6 09:48:38 2026 4 relations: 510976
  335. Tue Jan 6 09:48:38 2026 5 relations: 534457
  336. Tue Jan 6 09:48:38 2026 6 relations: 542471
  337. Tue Jan 6 09:48:38 2026 7 relations: 538165
  338. Tue Jan 6 09:48:38 2026 8 relations: 516734
  339. Tue Jan 6 09:48:38 2026 9 relations: 483389
  340. Tue Jan 6 09:48:38 2026 10+ relations: 2712694
  341. Tue Jan 6 09:48:38 2026 heaviest cycle: 28 relations
  342. Tue Jan 6 09:48:41 2026 commencing cycle optimization
  343. Tue Jan 6 09:48:56 2026 start with 60386592 relations
  344. Tue Jan 6 09:51:15 2026 pruned 3011971 relations
  345. Tue Jan 6 09:51:15 2026 memory use: 1596.4 MB
  346. Tue Jan 6 09:51:15 2026 distribution of cycle lengths:
  347. Tue Jan 6 09:51:15 2026 1 relations: 376330
  348. Tue Jan 6 09:51:15 2026 2 relations: 424379
  349. Tue Jan 6 09:51:15 2026 3 relations: 499917
  350. Tue Jan 6 09:51:15 2026 4 relations: 534488
  351. Tue Jan 6 09:51:15 2026 5 relations: 566048
  352. Tue Jan 6 09:51:15 2026 6 relations: 575099
  353. Tue Jan 6 09:51:15 2026 7 relations: 574596
  354. Tue Jan 6 09:51:15 2026 8 relations: 549570
  355. Tue Jan 6 09:51:15 2026 9 relations: 513203
  356. Tue Jan 6 09:51:15 2026 10+ relations: 2497228
  357. Tue Jan 6 09:51:15 2026 heaviest cycle: 28 relations
  358. Tue Jan 6 09:51:31 2026 RelProcTime: 23547
  359. Tue Jan 6 09:51:31 2026 elapsed time 06:32:27
  360. Tue Jan 6 09:51:31 2026
  361. Tue Jan 6 09:51:31 2026
  362. Tue Jan 6 09:51:31 2026 Msieve v. 1.54 (SVN Unversioned directory)
  363. Tue Jan 6 09:51:31 2026 random seeds: 0abf8c7d c6602150
  364. Tue Jan 6 09:51:31 2026 factoring 236114799534203231660387686893308192996531278346883688172986187046458370830105359015093082108464350873509305259032907900090251939747634137638750028564935267127957763049116883887684431 (183 digits)
  365. Tue Jan 6 09:51:32 2026 no P-1/P+1/ECM available, skipping
  366. Tue Jan 6 09:51:32 2026 commencing number field sieve (183-digit input)
  367. Tue Jan 6 09:51:32 2026 R0: 15771737294259260850279453309238710070219958973599956663
  368. Tue Jan 6 09:51:32 2026 R1: -1
  369. Tue Jan 6 09:51:32 2026 A0: 1
  370. Tue Jan 6 09:51:32 2026 A1: 1
  371. Tue Jan 6 09:51:32 2026 A2: 1
  372. Tue Jan 6 09:51:32 2026 A3: 1
  373. Tue Jan 6 09:51:32 2026 A4: 1
  374. Tue Jan 6 09:51:32 2026 skew 1.96, size 1.706e-22, alpha 1.694, combined = 2.093e-13 rroots = 0
  375. Tue Jan 6 09:51:32 2026
  376. Tue Jan 6 09:51:32 2026 commencing linear algebra
  377. Tue Jan 6 09:51:32 2026 using VBITS=256
  378. Tue Jan 6 09:51:33 2026 read 7110858 cycles
  379. Tue Jan 6 09:51:51 2026 cycles contain 23235674 unique relations
  380. Tue Jan 6 10:01:21 2026 read 23235674 relations
  381. Tue Jan 6 10:02:03 2026 using 20 quadratic characters above 4294917295
  382. Tue Jan 6 10:04:21 2026 building initial matrix
  383. Tue Jan 6 10:09:02 2026 memory use: 2925.5 MB
  384. Tue Jan 6 10:09:06 2026 read 7110858 cycles
  385. Tue Jan 6 10:09:07 2026 matrix is 7110671 x 7110858 (3089.9 MB) with weight 887243308 (124.77/col)
  386. Tue Jan 6 10:09:07 2026 sparse part has weight 731784409 (102.91/col)
  387. Tue Jan 6 10:10:34 2026 filtering completed in 2 passes
  388. Tue Jan 6 10:10:35 2026 matrix is 7109778 x 7109947 (3089.8 MB) with weight 887199511 (124.78/col)
  389. Tue Jan 6 10:10:35 2026 sparse part has weight 731760856 (102.92/col)
  390. Tue Jan 6 10:11:17 2026 matrix starts at (0, 0)
  391. Tue Jan 6 10:11:18 2026 matrix is 7109778 x 7109947 (3089.8 MB) with weight 887199511 (124.78/col)
  392. Tue Jan 6 10:11:18 2026 sparse part has weight 731760856 (102.92/col)
  393. Tue Jan 6 10:11:18 2026 saving the first 240 matrix rows for later
  394. Tue Jan 6 10:11:19 2026 matrix includes 256 packed rows
  395. Tue Jan 6 10:11:22 2026 matrix is 7109538 x 7109947 (2840.6 MB) with weight 665833593 (93.65/col)
  396. Tue Jan 6 10:11:22 2026 sparse part has weight 630888536 (88.73/col)
  397. Tue Jan 6 10:11:23 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  398. Tue Jan 6 10:11:23 2026 selected card has CUDA arch 8.0
  399. Tue Jan 6 10:12:20 2026 commencing Lanczos iteration
  400. Tue Jan 6 10:12:21 2026 memory use: 6603.4 MB
  401. Tue Jan 6 10:12:51 2026 linear algebra at 0.4%, ETA 1h55m
  402. Tue Jan 6 10:13:34 2026 checking every 60000 dimensions, checkpointing every 3840000 dimensions
  403. Tue Jan 6 12:04:01 2026 lanczos halted after 27856 iterations (dim = 7109538)
  404. Tue Jan 6 12:04:28 2026 recovered 39 nontrivial dependencies
  405. Tue Jan 6 12:04:28 2026 BLanczosTime: 7976
  406. Tue Jan 6 12:04:28 2026 elapsed time 02:12:57
  407. Tue Jan 6 12:04:28 2026
  408. Tue Jan 6 12:04:28 2026
  409. Tue Jan 6 12:04:28 2026 Msieve v. 1.54 (SVN Unversioned directory)
  410. Tue Jan 6 12:04:28 2026 random seeds: 7d73f433 d25ef4fb
  411. Tue Jan 6 12:04:28 2026 factoring 236114799534203231660387686893308192996531278346883688172986187046458370830105359015093082108464350873509305259032907900090251939747634137638750028564935267127957763049116883887684431 (183 digits)
  412. Tue Jan 6 12:04:29 2026 no P-1/P+1/ECM available, skipping
  413. Tue Jan 6 12:04:29 2026 commencing number field sieve (183-digit input)
  414. Tue Jan 6 12:04:29 2026 R0: 15771737294259260850279453309238710070219958973599956663
  415. Tue Jan 6 12:04:29 2026 R1: -1
  416. Tue Jan 6 12:04:29 2026 A0: 1
  417. Tue Jan 6 12:04:29 2026 A1: 1
  418. Tue Jan 6 12:04:29 2026 A2: 1
  419. Tue Jan 6 12:04:29 2026 A3: 1
  420. Tue Jan 6 12:04:29 2026 A4: 1
  421. Tue Jan 6 12:04:29 2026 skew 1.96, size 1.706e-22, alpha 1.694, combined = 2.093e-13 rroots = 0
  422. Tue Jan 6 12:04:29 2026
  423. Tue Jan 6 12:04:29 2026 commencing square root phase
  424. Tue Jan 6 12:04:29 2026 reading relations for dependency 1
  425. Tue Jan 6 12:04:30 2026 read 3554532 cycles
  426. Tue Jan 6 12:04:38 2026 cycles contain 11619602 unique relations
  427. Tue Jan 6 12:13:00 2026 read 11619602 relations
  428. Tue Jan 6 12:13:58 2026 multiplying 11619602 relations
  429. Tue Jan 6 12:18:34 2026 multiply complete, coefficients have about 305.41 million bits
  430. Tue Jan 6 12:18:35 2026 initial square root is modulo 302053
  431. Tue Jan 6 12:23:15 2026 sqrtTime: 1126
  432. Tue Jan 6 12:23:15 2026 p77 factor: 79992255934924733813753278404977535277990414659073760786951429105472854036011
  433. Tue Jan 6 12:23:15 2026 p106 factor: 2951720723144590939233950427337820856827867759204434649199204585771930037842088087118604183562342979066221
  434. Tue Jan 6 12:23:15 2026 elapsed time 00:18:47
  435.  
Tags: math
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