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Msieve log of C193_966_1114

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Jan 11th, 2026
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  1. Wed Jan 7 14:43:25 2026
  2. Wed Jan 7 14:43:25 2026
  3. Wed Jan 7 14:43:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jan 7 14:43:25 2026 random seeds: 261d5a4d 82f3dfe7
  5. Wed Jan 7 14:43:25 2026 factoring 2475566075872671553635508592013764550595817530911440335259937531452343188957372497289768737919572572917333146144972657519740315014225314245737992916122549899953273783128102215695577935456238569 (193 digits)
  6. Wed Jan 7 14:43:25 2026 no P-1/P+1/ECM available, skipping
  7. Wed Jan 7 14:43:25 2026 commencing number field sieve (193-digit input)
  8. Wed Jan 7 14:43:25 2026 R0: -19712965038059278477722976442325520312
  9. Wed Jan 7 14:43:25 2026 R1: 39411967246793751459617
  10. Wed Jan 7 14:43:25 2026 A0: 773785993198233615052985881205365611011263542330
  11. Wed Jan 7 14:43:25 2026 A1: -7261925702456981015561370912900726035987
  12. Wed Jan 7 14:43:25 2026 A2: -89537746421122456485176396988200
  13. Wed Jan 7 14:43:25 2026 A3: 119488114754385646351579
  14. Wed Jan 7 14:43:25 2026 A4: 543378132945582
  15. Wed Jan 7 14:43:25 2026 A5: 1663200
  16. Wed Jan 7 14:43:25 2026 skew 1.00, size 8.281e-19, alpha -9.292, combined = 2.516e-17 rroots = 3
  17. Wed Jan 7 14:43:25 2026
  18. Wed Jan 7 14:43:25 2026 commencing relation filtering
  19. Wed Jan 7 14:43:25 2026 setting target matrix density to 110.0
  20. Wed Jan 7 14:43:25 2026 estimated available RAM is 85467.8 MB
  21. Wed Jan 7 14:43:25 2026 commencing duplicate removal, pass 1
  22. Wed Jan 7 14:47:07 2026 error -1 reading relation 21181345
  23. Wed Jan 7 14:51:52 2026 error -1 reading relation 48505515
  24. Wed Jan 7 14:54:03 2026 error -1 reading relation 61010060
  25. Wed Jan 7 17:28:35 2026 error -1 reading relation 945326388
  26. Wed Jan 7 17:28:40 2026 error -1 reading relation 945780557
  27. Wed Jan 7 17:28:44 2026 error -1 reading relation 946247605
  28. Wed Jan 7 17:28:44 2026 skipped 2 relations with b > 2^32
  29. Wed Jan 7 17:28:44 2026 skipped 40 relations with composite factors
  30. Wed Jan 7 17:28:44 2026 skipped 2188 malformed relations
  31. Wed Jan 7 17:28:44 2026 found 247181333 hash collisions in 946245052 relations
  32. Wed Jan 7 17:29:16 2026 added 121545 free relations
  33. Wed Jan 7 17:29:16 2026 commencing duplicate removal, pass 2
  34. Wed Jan 7 17:54:21 2026 found 283757010 duplicates and 662609587 unique relations
  35. Wed Jan 7 17:54:21 2026 memory use: 5798.0 MB
  36. Wed Jan 7 17:54:22 2026 reading ideals above 416874496
  37. Wed Jan 7 17:54:22 2026 commencing singleton removal, initial pass
  38. Wed Jan 7 19:32:00 2026 memory use: 11024.0 MB
  39. Wed Jan 7 19:32:01 2026 reading all ideals from disk
  40. Wed Jan 7 19:32:40 2026 memory use: 17173.0 MB
  41. Wed Jan 7 19:33:29 2026 commencing in-memory singleton removal
  42. Wed Jan 7 19:34:56 2026 begin with 662609587 relations and 576523647 unique ideals
  43. Wed Jan 7 19:41:28 2026 reduce to 407056171 relations and 294579433 ideals in 15 passes
  44. Wed Jan 7 19:41:28 2026 max relations containing the same ideal: 31
  45. Wed Jan 7 19:42:06 2026 reading ideals above 720000
  46. Wed Jan 7 19:42:07 2026 commencing singleton removal, initial pass
  47. Wed Jan 7 21:04:39 2026 memory use: 11024.0 MB
  48. Wed Jan 7 21:04:40 2026 reading all ideals from disk
  49. Wed Jan 7 21:04:52 2026 memory use: 20548.7 MB
  50. Wed Jan 7 21:06:11 2026 keeping 336846836 ideals with weight <= 200, target excess is 2098928
  51. Wed Jan 7 21:07:35 2026 commencing in-memory singleton removal
  52. Wed Jan 7 21:09:35 2026 begin with 407056171 relations and 336846836 unique ideals
  53. Wed Jan 7 21:16:26 2026 reduce to 407030584 relations and 336821249 ideals in 9 passes
  54. Wed Jan 7 21:16:26 2026 max relations containing the same ideal: 200
  55. Wed Jan 7 21:21:54 2026 removing 15437596 relations and 13437596 ideals in 2000000 cliques
  56. Wed Jan 7 21:22:08 2026 commencing in-memory singleton removal
  57. Wed Jan 7 21:24:05 2026 begin with 391592988 relations and 336821249 unique ideals
  58. Wed Jan 7 21:29:58 2026 reduce to 391158290 relations and 322945826 ideals in 8 passes
  59. Wed Jan 7 21:29:58 2026 max relations containing the same ideal: 200
  60. Wed Jan 7 21:35:16 2026 removing 11597807 relations and 9597807 ideals in 2000000 cliques
  61. Wed Jan 7 21:35:28 2026 commencing in-memory singleton removal
  62. Wed Jan 7 21:37:22 2026 begin with 379560483 relations and 322945826 unique ideals
  63. Wed Jan 7 21:43:04 2026 reduce to 379288675 relations and 313074670 ideals in 8 passes
  64. Wed Jan 7 21:43:04 2026 max relations containing the same ideal: 198
  65. Wed Jan 7 21:48:13 2026 removing 10381250 relations and 8381250 ideals in 2000000 cliques
  66. Wed Jan 7 21:48:25 2026 commencing in-memory singleton removal
  67. Wed Jan 7 21:50:15 2026 begin with 368907425 relations and 313074670 unique ideals
  68. Wed Jan 7 21:55:49 2026 reduce to 368676093 relations and 304460800 ideals in 8 passes
  69. Wed Jan 7 21:55:49 2026 max relations containing the same ideal: 196
  70. Wed Jan 7 22:00:49 2026 removing 9684927 relations and 7684927 ideals in 2000000 cliques
  71. Wed Jan 7 22:01:01 2026 commencing in-memory singleton removal
  72. Wed Jan 7 22:02:48 2026 begin with 358991166 relations and 304460800 unique ideals
  73. Wed Jan 7 22:07:32 2026 reduce to 358783836 relations and 296567432 ideals in 7 passes
  74. Wed Jan 7 22:07:32 2026 max relations containing the same ideal: 194
  75. Wed Jan 7 22:12:24 2026 removing 9220871 relations and 7220871 ideals in 2000000 cliques
  76. Wed Jan 7 22:12:36 2026 commencing in-memory singleton removal
  77. Wed Jan 7 22:14:20 2026 begin with 349562965 relations and 296567432 unique ideals
  78. Wed Jan 7 22:18:16 2026 reduce to 349369338 relations and 289151887 ideals in 6 passes
  79. Wed Jan 7 22:18:16 2026 max relations containing the same ideal: 190
  80. Wed Jan 7 22:22:58 2026 removing 8876383 relations and 6876383 ideals in 2000000 cliques
  81. Wed Jan 7 22:23:10 2026 commencing in-memory singleton removal
  82. Wed Jan 7 22:24:52 2026 begin with 340492955 relations and 289151887 unique ideals
  83. Wed Jan 7 22:29:20 2026 reduce to 340307962 relations and 282089490 ideals in 7 passes
  84. Wed Jan 7 22:29:20 2026 max relations containing the same ideal: 189
  85. Wed Jan 7 22:33:57 2026 removing 8615838 relations and 6615838 ideals in 2000000 cliques
  86. Wed Jan 7 22:34:08 2026 commencing in-memory singleton removal
  87. Wed Jan 7 22:35:48 2026 begin with 331692124 relations and 282089490 unique ideals
  88. Wed Jan 7 22:40:12 2026 reduce to 331513016 relations and 275293548 ideals in 7 passes
  89. Wed Jan 7 22:40:12 2026 max relations containing the same ideal: 186
  90. Wed Jan 7 22:44:43 2026 removing 8407308 relations and 6407308 ideals in 2000000 cliques
  91. Wed Jan 7 22:44:54 2026 commencing in-memory singleton removal
  92. Wed Jan 7 22:46:30 2026 begin with 323105708 relations and 275293548 unique ideals
  93. Wed Jan 7 22:50:43 2026 reduce to 322930083 relations and 268709600 ideals in 7 passes
  94. Wed Jan 7 22:50:43 2026 max relations containing the same ideal: 184
  95. Wed Jan 7 22:55:07 2026 removing 8241777 relations and 6241777 ideals in 2000000 cliques
  96. Wed Jan 7 22:55:17 2026 commencing in-memory singleton removal
  97. Wed Jan 7 22:56:51 2026 begin with 314688306 relations and 268709600 unique ideals
  98. Wed Jan 7 23:00:24 2026 reduce to 314514241 relations and 262292727 ideals in 6 passes
  99. Wed Jan 7 23:00:24 2026 max relations containing the same ideal: 183
  100. Wed Jan 7 23:04:41 2026 removing 8106408 relations and 6106408 ideals in 2000000 cliques
  101. Wed Jan 7 23:04:51 2026 commencing in-memory singleton removal
  102. Wed Jan 7 23:06:22 2026 begin with 306407833 relations and 262292727 unique ideals
  103. Wed Jan 7 23:09:48 2026 reduce to 306236342 relations and 256013740 ideals in 6 passes
  104. Wed Jan 7 23:09:48 2026 max relations containing the same ideal: 179
  105. Wed Jan 7 23:13:59 2026 removing 7997900 relations and 5997900 ideals in 2000000 cliques
  106. Wed Jan 7 23:14:09 2026 commencing in-memory singleton removal
  107. Wed Jan 7 23:15:37 2026 begin with 298238442 relations and 256013740 unique ideals
  108. Wed Jan 7 23:18:58 2026 reduce to 298066786 relations and 249843108 ideals in 6 passes
  109. Wed Jan 7 23:18:58 2026 max relations containing the same ideal: 173
  110. Wed Jan 7 23:23:04 2026 removing 7906332 relations and 5906332 ideals in 2000000 cliques
  111. Wed Jan 7 23:23:14 2026 commencing in-memory singleton removal
  112. Wed Jan 7 23:24:39 2026 begin with 290160454 relations and 249843108 unique ideals
  113. Wed Jan 7 23:28:26 2026 reduce to 289987723 relations and 243762937 ideals in 7 passes
  114. Wed Jan 7 23:28:26 2026 max relations containing the same ideal: 171
  115. Wed Jan 7 23:32:26 2026 removing 7827505 relations and 5827505 ideals in 2000000 cliques
  116. Wed Jan 7 23:32:35 2026 commencing in-memory singleton removal
  117. Wed Jan 7 23:33:59 2026 begin with 282160218 relations and 243762937 unique ideals
  118. Wed Jan 7 23:37:05 2026 reduce to 281986637 relations and 237760787 ideals in 6 passes
  119. Wed Jan 7 23:37:05 2026 max relations containing the same ideal: 167
  120. Wed Jan 7 23:40:57 2026 removing 7764791 relations and 5764791 ideals in 2000000 cliques
  121. Wed Jan 7 23:41:06 2026 commencing in-memory singleton removal
  122. Wed Jan 7 23:42:27 2026 begin with 274221846 relations and 237760787 unique ideals
  123. Wed Jan 7 23:46:00 2026 reduce to 274047219 relations and 231820130 ideals in 7 passes
  124. Wed Jan 7 23:46:00 2026 max relations containing the same ideal: 166
  125. Wed Jan 7 23:49:46 2026 removing 7712947 relations and 5712947 ideals in 2000000 cliques
  126. Wed Jan 7 23:49:55 2026 commencing in-memory singleton removal
  127. Wed Jan 7 23:51:14 2026 begin with 266334272 relations and 231820130 unique ideals
  128. Wed Jan 7 23:54:37 2026 reduce to 266156381 relations and 225928113 ideals in 7 passes
  129. Wed Jan 7 23:54:37 2026 max relations containing the same ideal: 164
  130. Wed Jan 7 23:58:16 2026 removing 7670392 relations and 5670392 ideals in 2000000 cliques
  131. Wed Jan 7 23:58:25 2026 commencing in-memory singleton removal
  132. Wed Jan 7 23:59:41 2026 begin with 258485989 relations and 225928113 unique ideals
  133. Thu Jan 8 00:02:33 2026 reduce to 258305492 relations and 220075865 ideals in 6 passes
  134. Thu Jan 8 00:02:33 2026 max relations containing the same ideal: 163
  135. Thu Jan 8 00:06:08 2026 removing 7638653 relations and 5638653 ideals in 2000000 cliques
  136. Thu Jan 8 00:06:16 2026 commencing in-memory singleton removal
  137. Thu Jan 8 00:07:30 2026 begin with 250666839 relations and 220075865 unique ideals
  138. Thu Jan 8 00:10:16 2026 reduce to 250482449 relations and 214251441 ideals in 6 passes
  139. Thu Jan 8 00:10:16 2026 max relations containing the same ideal: 161
  140. Thu Jan 8 00:13:42 2026 removing 7616359 relations and 5616359 ideals in 2000000 cliques
  141. Thu Jan 8 00:13:51 2026 commencing in-memory singleton removal
  142. Thu Jan 8 00:15:02 2026 begin with 242866090 relations and 214251441 unique ideals
  143. Thu Jan 8 00:17:40 2026 reduce to 242678149 relations and 208445714 ideals in 6 passes
  144. Thu Jan 8 00:17:40 2026 max relations containing the same ideal: 160
  145. Thu Jan 8 00:21:02 2026 removing 7604230 relations and 5604230 ideals in 2000000 cliques
  146. Thu Jan 8 00:21:10 2026 commencing in-memory singleton removal
  147. Thu Jan 8 00:22:19 2026 begin with 235073919 relations and 208445714 unique ideals
  148. Thu Jan 8 00:25:19 2026 reduce to 234881322 relations and 202647357 ideals in 7 passes
  149. Thu Jan 8 00:25:19 2026 max relations containing the same ideal: 156
  150. Thu Jan 8 00:28:33 2026 removing 7590149 relations and 5590149 ideals in 2000000 cliques
  151. Thu Jan 8 00:28:41 2026 commencing in-memory singleton removal
  152. Thu Jan 8 00:29:49 2026 begin with 227291173 relations and 202647357 unique ideals
  153. Thu Jan 8 00:32:19 2026 reduce to 227093102 relations and 196857538 ideals in 6 passes
  154. Thu Jan 8 00:32:19 2026 max relations containing the same ideal: 149
  155. Thu Jan 8 00:35:27 2026 removing 7587838 relations and 5587838 ideals in 2000000 cliques
  156. Thu Jan 8 00:35:35 2026 commencing in-memory singleton removal
  157. Thu Jan 8 00:36:39 2026 begin with 219505264 relations and 196857538 unique ideals
  158. Thu Jan 8 00:39:26 2026 reduce to 219299609 relations and 191062350 ideals in 7 passes
  159. Thu Jan 8 00:39:26 2026 max relations containing the same ideal: 148
  160. Thu Jan 8 00:42:29 2026 removing 7589546 relations and 5589546 ideals in 2000000 cliques
  161. Thu Jan 8 00:42:37 2026 commencing in-memory singleton removal
  162. Thu Jan 8 00:43:39 2026 begin with 211710063 relations and 191062350 unique ideals
  163. Thu Jan 8 00:45:57 2026 reduce to 211498802 relations and 185259720 ideals in 6 passes
  164. Thu Jan 8 00:45:57 2026 max relations containing the same ideal: 146
  165. Thu Jan 8 00:48:52 2026 removing 7602445 relations and 5602445 ideals in 2000000 cliques
  166. Thu Jan 8 00:49:00 2026 commencing in-memory singleton removal
  167. Thu Jan 8 00:50:00 2026 begin with 203896357 relations and 185259720 unique ideals
  168. Thu Jan 8 00:52:14 2026 reduce to 203676870 relations and 179435820 ideals in 6 passes
  169. Thu Jan 8 00:52:14 2026 max relations containing the same ideal: 142
  170. Thu Jan 8 00:55:04 2026 removing 7620555 relations and 5620555 ideals in 2000000 cliques
  171. Thu Jan 8 00:55:11 2026 commencing in-memory singleton removal
  172. Thu Jan 8 00:56:08 2026 begin with 196056315 relations and 179435820 unique ideals
  173. Thu Jan 8 00:58:35 2026 reduce to 195827314 relations and 173584144 ideals in 7 passes
  174. Thu Jan 8 00:58:35 2026 max relations containing the same ideal: 135
  175. Thu Jan 8 01:01:18 2026 removing 7641802 relations and 5641802 ideals in 2000000 cliques
  176. Thu Jan 8 01:01:25 2026 commencing in-memory singleton removal
  177. Thu Jan 8 01:02:21 2026 begin with 188185512 relations and 173584144 unique ideals
  178. Thu Jan 8 01:04:42 2026 reduce to 187947165 relations and 167701747 ideals in 7 passes
  179. Thu Jan 8 01:04:42 2026 max relations containing the same ideal: 132
  180. Thu Jan 8 01:07:20 2026 removing 7669189 relations and 5669189 ideals in 2000000 cliques
  181. Thu Jan 8 01:07:27 2026 commencing in-memory singleton removal
  182. Thu Jan 8 01:08:19 2026 begin with 180277976 relations and 167701747 unique ideals
  183. Thu Jan 8 01:10:32 2026 reduce to 180029202 relations and 161781250 ideals in 7 passes
  184. Thu Jan 8 01:10:32 2026 max relations containing the same ideal: 124
  185. Thu Jan 8 01:13:04 2026 removing 7710022 relations and 5710022 ideals in 2000000 cliques
  186. Thu Jan 8 01:13:10 2026 commencing in-memory singleton removal
  187. Thu Jan 8 01:14:00 2026 begin with 172319180 relations and 161781250 unique ideals
  188. Thu Jan 8 01:16:24 2026 reduce to 172056759 relations and 155806146 ideals in 8 passes
  189. Thu Jan 8 01:16:24 2026 max relations containing the same ideal: 119
  190. Thu Jan 8 01:18:50 2026 removing 7755739 relations and 5755739 ideals in 2000000 cliques
  191. Thu Jan 8 01:18:56 2026 commencing in-memory singleton removal
  192. Thu Jan 8 01:19:43 2026 begin with 164301020 relations and 155806146 unique ideals
  193. Thu Jan 8 01:21:44 2026 reduce to 164023815 relations and 149770344 ideals in 7 passes
  194. Thu Jan 8 01:21:44 2026 max relations containing the same ideal: 115
  195. Thu Jan 8 01:24:02 2026 removing 7812999 relations and 5812999 ideals in 2000000 cliques
  196. Thu Jan 8 01:24:08 2026 commencing in-memory singleton removal
  197. Thu Jan 8 01:24:53 2026 begin with 156210816 relations and 149770344 unique ideals
  198. Thu Jan 8 01:26:47 2026 reduce to 155916932 relations and 143660165 ideals in 7 passes
  199. Thu Jan 8 01:26:47 2026 max relations containing the same ideal: 113
  200. Thu Jan 8 01:28:58 2026 removing 7876372 relations and 5876372 ideals in 2000000 cliques
  201. Thu Jan 8 01:29:04 2026 commencing in-memory singleton removal
  202. Thu Jan 8 01:29:46 2026 begin with 148040560 relations and 143660165 unique ideals
  203. Thu Jan 8 01:31:34 2026 reduce to 147727812 relations and 137467522 ideals in 7 passes
  204. Thu Jan 8 01:31:34 2026 max relations containing the same ideal: 109
  205. Thu Jan 8 01:33:39 2026 removing 7950301 relations and 5950301 ideals in 2000000 cliques
  206. Thu Jan 8 01:33:45 2026 commencing in-memory singleton removal
  207. Thu Jan 8 01:34:25 2026 begin with 139777511 relations and 137467522 unique ideals
  208. Thu Jan 8 01:36:19 2026 reduce to 139440486 relations and 131176124 ideals in 8 passes
  209. Thu Jan 8 01:36:19 2026 max relations containing the same ideal: 106
  210. Thu Jan 8 01:38:16 2026 removing 8036697 relations and 6036697 ideals in 2000000 cliques
  211. Thu Jan 8 01:38:21 2026 commencing in-memory singleton removal
  212. Thu Jan 8 01:38:59 2026 begin with 131403789 relations and 131176124 unique ideals
  213. Thu Jan 8 01:40:32 2026 reduce to 131039946 relations and 124770984 ideals in 7 passes
  214. Thu Jan 8 01:40:32 2026 max relations containing the same ideal: 103
  215. Thu Jan 8 01:42:23 2026 removing 8140904 relations and 6140904 ideals in 2000000 cliques
  216. Thu Jan 8 01:42:28 2026 commencing in-memory singleton removal
  217. Thu Jan 8 01:43:04 2026 begin with 122899042 relations and 124770984 unique ideals
  218. Thu Jan 8 01:44:33 2026 reduce to 122500889 relations and 118226732 ideals in 7 passes
  219. Thu Jan 8 01:44:33 2026 max relations containing the same ideal: 99
  220. Thu Jan 8 01:46:16 2026 removing 7704961 relations and 5865561 ideals in 1839400 cliques
  221. Thu Jan 8 01:46:22 2026 commencing in-memory singleton removal
  222. Thu Jan 8 01:46:54 2026 begin with 114795928 relations and 118226732 unique ideals
  223. Thu Jan 8 01:48:14 2026 reduce to 114411946 relations and 111972397 ideals in 7 passes
  224. Thu Jan 8 01:48:14 2026 max relations containing the same ideal: 95
  225. Thu Jan 8 01:50:08 2026 relations with 0 large ideals: 7238
  226. Thu Jan 8 01:50:08 2026 relations with 1 large ideals: 38401
  227. Thu Jan 8 01:50:08 2026 relations with 2 large ideals: 561969
  228. Thu Jan 8 01:50:08 2026 relations with 3 large ideals: 3548461
  229. Thu Jan 8 01:50:08 2026 relations with 4 large ideals: 12080250
  230. Thu Jan 8 01:50:08 2026 relations with 5 large ideals: 24608132
  231. Thu Jan 8 01:50:08 2026 relations with 6 large ideals: 31379477
  232. Thu Jan 8 01:50:08 2026 relations with 7+ large ideals: 42188018
  233. Thu Jan 8 01:50:08 2026 commencing 2-way merge
  234. Thu Jan 8 01:52:41 2026 reduce to 71725355 relation sets and 69285806 unique ideals
  235. Thu Jan 8 01:52:41 2026 commencing full merge
  236. Thu Jan 8 02:19:29 2026 memory use: 8239.8 MB
  237. Thu Jan 8 02:19:37 2026 found 33556101 cycles, need 33270006
  238. Thu Jan 8 02:19:50 2026 weight of 33270006 cycles is about 3660008288 (110.01/cycle)
  239. Thu Jan 8 02:19:50 2026 distribution of cycle lengths:
  240. Thu Jan 8 02:19:50 2026 1 relations: 2346394
  241. Thu Jan 8 02:19:50 2026 2 relations: 2627460
  242. Thu Jan 8 02:19:50 2026 3 relations: 2805198
  243. Thu Jan 8 02:19:50 2026 4 relations: 2779037
  244. Thu Jan 8 02:19:50 2026 5 relations: 2748165
  245. Thu Jan 8 02:19:50 2026 6 relations: 2637393
  246. Thu Jan 8 02:19:50 2026 7 relations: 2552975
  247. Thu Jan 8 02:19:50 2026 8 relations: 2373653
  248. Thu Jan 8 02:19:50 2026 9 relations: 2158556
  249. Thu Jan 8 02:19:50 2026 10+ relations: 10241175
  250. Thu Jan 8 02:19:50 2026 heaviest cycle: 25 relations
  251. Thu Jan 8 02:20:03 2026 commencing cycle optimization
  252. Thu Jan 8 02:21:21 2026 start with 249412444 relations
  253. Thu Jan 8 02:30:52 2026 pruned 8915049 relations
  254. Thu Jan 8 02:30:52 2026 memory use: 7274.2 MB
  255. Thu Jan 8 02:30:53 2026 distribution of cycle lengths:
  256. Thu Jan 8 02:30:53 2026 1 relations: 2346394
  257. Thu Jan 8 02:30:53 2026 2 relations: 2692095
  258. Thu Jan 8 02:30:53 2026 3 relations: 2916532
  259. Thu Jan 8 02:30:53 2026 4 relations: 2876196
  260. Thu Jan 8 02:30:53 2026 5 relations: 2859335
  261. Thu Jan 8 02:30:53 2026 6 relations: 2735661
  262. Thu Jan 8 02:30:53 2026 7 relations: 2649393
  263. Thu Jan 8 02:30:53 2026 8 relations: 2447048
  264. Thu Jan 8 02:30:53 2026 9 relations: 2217254
  265. Thu Jan 8 02:30:53 2026 10+ relations: 9530098
  266. Thu Jan 8 02:30:53 2026 heaviest cycle: 25 relations
  267. Thu Jan 8 02:32:26 2026 RelProcTime: 42541
  268. Thu Jan 8 02:32:26 2026 elapsed time 11:49:01
  269. Thu Jan 8 02:32:27 2026
  270. Thu Jan 8 02:32:27 2026
  271. Thu Jan 8 02:32:27 2026 Msieve v. 1.54 (SVN Unversioned directory)
  272. Thu Jan 8 02:32:27 2026 random seeds: e112e59f 12a5bbd3
  273. Thu Jan 8 02:32:27 2026 factoring 2475566075872671553635508592013764550595817530911440335259937531452343188957372497289768737919572572917333146144972657519740315014225314245737992916122549899953273783128102215695577935456238569 (193 digits)
  274. Thu Jan 8 02:32:27 2026 no P-1/P+1/ECM available, skipping
  275. Thu Jan 8 02:32:27 2026 commencing number field sieve (193-digit input)
  276. Thu Jan 8 02:32:27 2026 R0: -19712965038059278477722976442325520312
  277. Thu Jan 8 02:32:27 2026 R1: 39411967246793751459617
  278. Thu Jan 8 02:32:27 2026 A0: 773785993198233615052985881205365611011263542330
  279. Thu Jan 8 02:32:27 2026 A1: -7261925702456981015561370912900726035987
  280. Thu Jan 8 02:32:27 2026 A2: -89537746421122456485176396988200
  281. Thu Jan 8 02:32:27 2026 A3: 119488114754385646351579
  282. Thu Jan 8 02:32:27 2026 A4: 543378132945582
  283. Thu Jan 8 02:32:27 2026 A5: 1663200
  284. Thu Jan 8 02:32:27 2026 skew 1.00, size 8.281e-19, alpha -9.292, combined = 2.516e-17 rroots = 3
  285. Thu Jan 8 02:32:27 2026
  286. Thu Jan 8 02:32:27 2026 commencing linear algebra
  287. Thu Jan 8 02:32:27 2026 using VBITS=256
  288. Thu Jan 8 02:32:32 2026 read 33270006 cycles
  289. Thu Jan 8 02:34:00 2026 cycles contain 112940596 unique relations
  290. Thu Jan 8 03:05:01 2026 read 112940596 relations
  291. Thu Jan 8 03:09:09 2026 using 20 quadratic characters above 4294917295
  292. Thu Jan 8 03:20:32 2026 building initial matrix
  293. Thu Jan 8 03:49:38 2026 memory use: 16046.0 MB
  294. Thu Jan 8 03:49:57 2026 read 33270006 cycles
  295. Thu Jan 8 03:50:03 2026 matrix is 33269824 x 33270006 (14727.9 MB) with weight 4559186744 (137.04/col)
  296. Thu Jan 8 03:50:03 2026 sparse part has weight 3461597333 (104.05/col)
  297. Thu Jan 8 04:01:58 2026 filtering completed in 2 passes
  298. Thu Jan 8 04:02:06 2026 matrix is 33266579 x 33266761 (14727.6 MB) with weight 4559039239 (137.04/col)
  299. Thu Jan 8 04:02:06 2026 sparse part has weight 3461558603 (104.05/col)
  300. Thu Jan 8 04:05:37 2026 matrix starts at (0, 0)
  301. Thu Jan 8 04:05:42 2026 matrix is 33266579 x 33266761 (14727.6 MB) with weight 4559039239 (137.04/col)
  302. Thu Jan 8 04:05:42 2026 sparse part has weight 3461558603 (104.05/col)
  303. Thu Jan 8 04:05:42 2026 saving the first 240 matrix rows for later
  304. Thu Jan 8 04:05:49 2026 matrix includes 256 packed rows
  305. Thu Jan 8 04:06:01 2026 matrix is 33266339 x 33266761 (13457.9 MB) with weight 3186574134 (95.79/col)
  306. Thu Jan 8 04:06:01 2026 sparse part has weight 2995634118 (90.05/col)
  307. Thu Jan 8 04:06:02 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  308. Thu Jan 8 04:06:02 2026 selected card has CUDA arch 8.0
  309. Thu Jan 8 04:11:07 2026 commencing Lanczos iteration
  310. Thu Jan 8 04:11:12 2026 memory use: 31484.3 MB
  311. Thu Jan 8 04:13:49 2026 linear algebra at 0.1%, ETA 46h26m
  312. Thu Jan 8 04:17:39 2026 checking every 10000 dimensions, checkpointing every 730000 dimensions
  313. Sat Jan 10 02:04:19 2026 lanczos halted after 130339 iterations (dim = 33266337)
  314. Sat Jan 10 02:07:02 2026 recovered 27 nontrivial dependencies
  315. Sat Jan 10 02:07:02 2026 BLanczosTime: 171275
  316. Sat Jan 10 02:07:02 2026 elapsed time 47:34:35
  317. Sat Jan 10 02:07:04 2026
  318. Sat Jan 10 02:07:04 2026
  319. Sat Jan 10 02:07:04 2026 Msieve v. 1.54 (SVN Unversioned directory)
  320. Sat Jan 10 02:07:04 2026 random seeds: 818cf053 182994b2
  321. Sat Jan 10 02:07:04 2026 factoring 2475566075872671553635508592013764550595817530911440335259937531452343188957372497289768737919572572917333146144972657519740315014225314245737992916122549899953273783128102215695577935456238569 (193 digits)
  322. Sat Jan 10 02:07:04 2026 no P-1/P+1/ECM available, skipping
  323. Sat Jan 10 02:07:04 2026 commencing number field sieve (193-digit input)
  324. Sat Jan 10 02:07:04 2026 R0: -19712965038059278477722976442325520312
  325. Sat Jan 10 02:07:04 2026 R1: 39411967246793751459617
  326. Sat Jan 10 02:07:04 2026 A0: 773785993198233615052985881205365611011263542330
  327. Sat Jan 10 02:07:04 2026 A1: -7261925702456981015561370912900726035987
  328. Sat Jan 10 02:07:04 2026 A2: -89537746421122456485176396988200
  329. Sat Jan 10 02:07:04 2026 A3: 119488114754385646351579
  330. Sat Jan 10 02:07:04 2026 A4: 543378132945582
  331. Sat Jan 10 02:07:04 2026 A5: 1663200
  332. Sat Jan 10 02:07:04 2026 skew 1.00, size 8.281e-19, alpha -9.292, combined = 2.516e-17 rroots = 3
  333. Sat Jan 10 02:07:04 2026
  334. Sat Jan 10 02:07:04 2026 commencing square root phase
  335. Sat Jan 10 02:07:04 2026 reading relations for dependency 1
  336. Sat Jan 10 02:07:09 2026 read 16633985 cycles
  337. Sat Jan 10 02:07:47 2026 cycles contain 56478084 unique relations
  338. Sat Jan 10 02:31:46 2026 read 56478084 relations
  339. Sat Jan 10 02:38:04 2026 multiplying 56478084 relations
  340. Sat Jan 10 04:14:58 2026 multiply complete, coefficients have about 3494.32 million bits
  341. Sat Jan 10 04:15:27 2026 initial square root is modulo 68748373
  342. Sat Jan 10 05:54:24 2026 sqrtTime: 13640
  343. Sat Jan 10 05:54:24 2026 p95 factor: 31129168543462564384732382265963075991424209415899271556609297966107437041420060292503676284983
  344. Sat Jan 10 05:54:24 2026 p98 factor: 79525608672017200411020587797359450398816750034639430310774874714905182082190146656370004895442143
  345. Sat Jan 10 05:54:24 2026 elapsed time 03:47:20
  346.  
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