kyleaskine

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May 30th, 2026
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  1. Thu May 28 07:01:55 2026
  2. Thu May 28 07:01:55 2026
  3. Thu May 28 07:01:55 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu May 28 07:01:55 2026 random seeds: ce63c07f 69a84c85
  5. Thu May 28 07:01:55 2026 Using 14 OpenMP threads
  6. Thu May 28 07:01:55 2026 factoring 243600447030899079425586715959916490489805935237788868739597149731701684090729001662853666166349081207091114531766501322041236322207460186952409947528588356882672565893263869102397944477 (186 digits)
  7. Thu May 28 07:01:56 2026 no P-1/P+1/ECM available, skipping
  8. Thu May 28 07:01:56 2026 commencing number field sieve (186-digit input)
  9. Thu May 28 07:01:56 2026 R0: -2210066096222234617067744908064566336
  10. Thu May 28 07:01:56 2026 R1: 17091153828898735414121
  11. Thu May 28 07:01:56 2026 A0: 1238605425391654080019840285231930267909621290
  12. Thu May 28 07:01:56 2026 A1: 54514516740235826794748826502577883771
  13. Thu May 28 07:01:56 2026 A2: -1942858204878646123821368039316
  14. Thu May 28 07:01:56 2026 A3: -5507845544814787288211
  15. Thu May 28 07:01:56 2026 A4: 26945498073290
  16. Thu May 28 07:01:56 2026 A5: 9240
  17. Thu May 28 07:01:56 2026 skew 263534794.91, size 5.008e-18, alpha -7.916, combined = 4.729e-14 rroots = 5
  18. Thu May 28 07:01:56 2026
  19. Thu May 28 07:01:56 2026 commencing relation filtering
  20. Thu May 28 07:01:56 2026 setting 3 target densities:Thu May 28 07:01:56 2026 80Thu May 28 07:01:56 2026 100Thu May 28 07:01:56 2026 120Thu May 28 07:01:56 2026
  21. Thu May 28 07:01:56 2026 estimated available RAM is 78540.1 MB
  22. Thu May 28 07:01:56 2026 commencing duplicate removal, pass 1
  23. Thu May 28 07:02:32 2026 error -1 reading relation 8961513
  24. Thu May 28 07:04:01 2026 error -1 reading relation 38172529
  25. Thu May 28 07:06:14 2026 error -15 reading relation 80918305
  26. Thu May 28 07:06:24 2026 error -1 reading relation 84257529
  27. Thu May 28 07:07:58 2026 error -1 reading relation 118912091
  28. Thu May 28 07:08:40 2026 error -1 reading relation 133688517
  29. Thu May 28 07:10:59 2026 error -1 reading relation 181069413
  30. Thu May 28 07:11:00 2026 error -1 reading relation 181459485
  31. Thu May 28 07:12:46 2026 error -1 reading relation 213154376
  32. Thu May 28 07:12:54 2026 error -1 reading relation 215577153
  33. Thu May 28 07:13:09 2026 error -1 reading relation 220098617
  34. Thu May 28 07:13:49 2026 error -1 reading relation 231706568
  35. Thu May 28 07:14:56 2026 error -1 reading relation 252315848
  36. Thu May 28 07:17:17 2026 error -1 reading relation 294912921
  37. Thu May 28 07:20:01 2026 error -1 reading relation 348025672
  38. Thu May 28 07:20:38 2026 error -1 reading relation 364089409
  39. Thu May 28 07:21:21 2026 error -1 reading relation 385317548
  40. Thu May 28 07:21:24 2026 error -1 reading relation 387442149
  41. Thu May 28 07:21:34 2026 error -1 reading relation 394185031
  42. Thu May 28 07:21:39 2026 error -1 reading relation 398081319
  43. Thu May 28 07:21:47 2026 error -1 reading relation 405136996
  44. Thu May 28 07:21:50 2026 error -1 reading relation 407772426
  45. Thu May 28 07:23:48 2026 error -11 reading relation 479773606
  46. Thu May 28 07:24:51 2026 error -1 reading relation 515881258
  47. Thu May 28 07:24:55 2026 error -1 reading relation 517762444
  48. Thu May 28 07:25:09 2026 error -1 reading relation 526932105
  49. Thu May 28 07:25:10 2026 error -1 reading relation 527687470
  50. Thu May 28 07:25:39 2026 error -1 reading relation 545993611
  51. Thu May 28 07:26:11 2026 error -1 reading relation 563153569
  52. Thu May 28 07:26:21 2026 error -1 reading relation 567356375
  53. Thu May 28 07:26:21 2026 error -1 reading relation 567669740
  54. Thu May 28 07:26:30 2026 error -1 reading relation 571736264
  55. Thu May 28 07:27:00 2026 error -1 reading relation 585539429
  56. Thu May 28 07:27:14 2026 error -1 reading relation 592012032
  57. Thu May 28 07:27:24 2026 error -1 reading relation 597133895
  58. Thu May 28 07:27:30 2026 error -1 reading relation 599639289
  59. Thu May 28 07:27:51 2026 error -1 reading relation 612719756
  60. Thu May 28 07:27:52 2026 error -1 reading relation 613233141
  61. Thu May 28 07:27:59 2026 error -1 reading relation 618684622
  62. Thu May 28 07:28:35 2026 error -1 reading relation 644309467
  63. Thu May 28 07:28:39 2026 error -1 reading relation 646846396
  64. Thu May 28 07:28:42 2026 error -1 reading relation 649434034
  65. Thu May 28 07:28:50 2026 error -1 reading relation 655440681
  66. Thu May 28 07:29:01 2026 skipped 2 relations with b > 2^32
  67. Thu May 28 07:29:01 2026 skipped 3 relations with composite factors
  68. Thu May 28 07:29:01 2026 skipped 323 malformed relations
  69. Thu May 28 07:29:01 2026 found 148074457 hash collisions in 664781495 relations
  70. Thu May 28 07:29:12 2026 added 121418 free relations
  71. Thu May 28 07:29:12 2026 commencing duplicate removal, pass 2
  72. Thu May 28 07:34:34 2026 found 160907797 duplicates and 503995116 unique relations
  73. Thu May 28 07:34:34 2026 memory use: 3411.0 MB
  74. Thu May 28 07:34:34 2026 reading ideals above 285933568
  75. Thu May 28 07:34:34 2026 commencing singleton removal, initial pass
  76. Thu May 28 07:47:12 2026 memory use: 11024.0 MB
  77. Thu May 28 07:47:13 2026 reading all ideals from disk
  78. Thu May 28 07:47:19 2026 memory use: 13134.8 MB
  79. Thu May 28 07:47:32 2026 commencing in-memory singleton removal
  80. Thu May 28 07:47:36 2026 begin with 503995116 relations and 443190274 unique ideals
  81. Thu May 28 07:48:02 2026 reduce to 305576113 relations and 223309269 ideals in 15 passes
  82. Thu May 28 07:48:02 2026 max relations containing the same ideal: 32
  83. Thu May 28 07:48:08 2026 reading ideals above 720000
  84. Thu May 28 07:48:09 2026 commencing singleton removal, initial pass
  85. Thu May 28 08:02:24 2026 memory use: 6024.0 MB
  86. Thu May 28 08:02:24 2026 reading all ideals from disk
  87. Thu May 28 08:02:33 2026 memory use: 15085.4 MB
  88. Thu May 28 08:02:50 2026 keeping 252819435 ideals with weight <= 200, target excess is 1548514
  89. Thu May 28 08:03:15 2026 commencing in-memory singleton removal
  90. Thu May 28 08:03:18 2026 begin with 305576113 relations and 252819435 unique ideals
  91. Thu May 28 08:03:40 2026 reduce to 305567641 relations and 252810963 ideals in 9 passes
  92. Thu May 28 08:03:40 2026 max relations containing the same ideal: 200
  93. Thu May 28 08:05:03 2026 removing 14448113 relations and 12448113 ideals in 2000000 cliques
  94. Thu May 28 08:05:08 2026 commencing in-memory singleton removal
  95. Thu May 28 08:05:11 2026 begin with 291119528 relations and 252810963 unique ideals
  96. Thu May 28 08:05:31 2026 reduce to 290608629 relations and 239847350 ideals in 9 passes
  97. Thu May 28 08:05:31 2026 max relations containing the same ideal: 200
  98. Thu May 28 08:06:50 2026 removing 10888796 relations and 8888796 ideals in 2000000 cliques
  99. Thu May 28 08:06:55 2026 commencing in-memory singleton removal
  100. Thu May 28 08:06:58 2026 begin with 279719833 relations and 239847350 unique ideals
  101. Thu May 28 08:07:18 2026 reduce to 279395064 relations and 230631285 ideals in 9 passes
  102. Thu May 28 08:07:18 2026 max relations containing the same ideal: 197
  103. Thu May 28 08:08:32 2026 removing 9767831 relations and 7767831 ideals in 2000000 cliques
  104. Thu May 28 08:08:36 2026 commencing in-memory singleton removal
  105. Thu May 28 08:08:39 2026 begin with 269627233 relations and 230631285 unique ideals
  106. Thu May 28 08:08:53 2026 reduce to 269350194 relations and 222584343 ideals in 7 passes
  107. Thu May 28 08:08:53 2026 max relations containing the same ideal: 194
  108. Thu May 28 08:10:03 2026 removing 9145530 relations and 7145530 ideals in 2000000 cliques
  109. Thu May 28 08:10:07 2026 commencing in-memory singleton removal
  110. Thu May 28 08:10:11 2026 begin with 260204664 relations and 222584343 unique ideals
  111. Thu May 28 08:10:24 2026 reduce to 259951235 relations and 215183506 ideals in 7 passes
  112. Thu May 28 08:10:24 2026 max relations containing the same ideal: 190
  113. Thu May 28 08:11:39 2026 removing 8731765 relations and 6731765 ideals in 2000000 cliques
  114. Thu May 28 08:11:44 2026 commencing in-memory singleton removal
  115. Thu May 28 08:11:48 2026 begin with 251219470 relations and 215183506 unique ideals
  116. Thu May 28 08:12:06 2026 reduce to 250978183 relations and 208208650 ideals in 7 passes
  117. Thu May 28 08:12:06 2026 max relations containing the same ideal: 188
  118. Thu May 28 08:13:28 2026 removing 8439008 relations and 6439008 ideals in 2000000 cliques
  119. Thu May 28 08:13:33 2026 commencing in-memory singleton removal
  120. Thu May 28 08:13:36 2026 begin with 242539175 relations and 208208650 unique ideals
  121. Thu May 28 08:13:55 2026 reduce to 242306259 relations and 201534954 ideals in 7 passes
  122. Thu May 28 08:13:55 2026 max relations containing the same ideal: 182
  123. Thu May 28 08:15:14 2026 removing 8213201 relations and 6213201 ideals in 2000000 cliques
  124. Thu May 28 08:15:18 2026 commencing in-memory singleton removal
  125. Thu May 28 08:15:21 2026 begin with 234093058 relations and 201534954 unique ideals
  126. Thu May 28 08:15:42 2026 reduce to 233865890 relations and 195092793 ideals in 8 passes
  127. Thu May 28 08:15:42 2026 max relations containing the same ideal: 180
  128. Thu May 28 08:16:59 2026 removing 8043312 relations and 6043312 ideals in 2000000 cliques
  129. Thu May 28 08:17:04 2026 commencing in-memory singleton removal
  130. Thu May 28 08:17:07 2026 begin with 225822578 relations and 195092793 unique ideals
  131. Thu May 28 08:17:27 2026 reduce to 225596907 relations and 188821987 ideals in 7 passes
  132. Thu May 28 08:17:27 2026 max relations containing the same ideal: 177
  133. Thu May 28 08:18:41 2026 removing 7911674 relations and 5911674 ideals in 2000000 cliques
  134. Thu May 28 08:18:45 2026 commencing in-memory singleton removal
  135. Thu May 28 08:18:48 2026 begin with 217685233 relations and 188821987 unique ideals
  136. Thu May 28 08:19:04 2026 reduce to 217457033 relations and 182680204 ideals in 7 passes
  137. Thu May 28 08:19:04 2026 max relations containing the same ideal: 174
  138. Thu May 28 08:20:13 2026 removing 7810817 relations and 5810817 ideals in 2000000 cliques
  139. Thu May 28 08:20:16 2026 commencing in-memory singleton removal
  140. Thu May 28 08:20:19 2026 begin with 209646216 relations and 182680204 unique ideals
  141. Thu May 28 08:20:36 2026 reduce to 209417022 relations and 176638247 ideals in 7 passes
  142. Thu May 28 08:20:36 2026 max relations containing the same ideal: 170
  143. Thu May 28 08:21:45 2026 removing 7730712 relations and 5730712 ideals in 2000000 cliques
  144. Thu May 28 08:21:48 2026 commencing in-memory singleton removal
  145. Thu May 28 08:21:50 2026 begin with 201686310 relations and 176638247 unique ideals
  146. Thu May 28 08:22:06 2026 reduce to 201454380 relations and 170673567 ideals in 7 passes
  147. Thu May 28 08:22:06 2026 max relations containing the same ideal: 168
  148. Thu May 28 08:23:19 2026 removing 7670150 relations and 5670150 ideals in 2000000 cliques
  149. Thu May 28 08:23:22 2026 commencing in-memory singleton removal
  150. Thu May 28 08:23:25 2026 begin with 193784230 relations and 170673567 unique ideals
  151. Thu May 28 08:23:40 2026 reduce to 193547062 relations and 164764027 ideals in 7 passes
  152. Thu May 28 08:23:40 2026 max relations containing the same ideal: 164
  153. Thu May 28 08:24:46 2026 removing 7629971 relations and 5629971 ideals in 2000000 cliques
  154. Thu May 28 08:24:49 2026 commencing in-memory singleton removal
  155. Thu May 28 08:24:52 2026 begin with 185917091 relations and 164764027 unique ideals
  156. Thu May 28 08:25:06 2026 reduce to 185673227 relations and 158887885 ideals in 7 passes
  157. Thu May 28 08:25:06 2026 max relations containing the same ideal: 156
  158. Thu May 28 08:26:09 2026 removing 7596601 relations and 5596601 ideals in 2000000 cliques
  159. Thu May 28 08:26:13 2026 commencing in-memory singleton removal
  160. Thu May 28 08:26:15 2026 begin with 178076626 relations and 158887885 unique ideals
  161. Thu May 28 08:26:29 2026 reduce to 177824072 relations and 153036228 ideals in 7 passes
  162. Thu May 28 08:26:29 2026 max relations containing the same ideal: 149
  163. Thu May 28 08:27:32 2026 removing 7584617 relations and 5584617 ideals in 2000000 cliques
  164. Thu May 28 08:27:36 2026 commencing in-memory singleton removal
  165. Thu May 28 08:27:39 2026 begin with 170239455 relations and 153036228 unique ideals
  166. Thu May 28 08:27:53 2026 reduce to 169979236 relations and 147188675 ideals in 7 passes
  167. Thu May 28 08:27:53 2026 max relations containing the same ideal: 147
  168. Thu May 28 08:28:52 2026 removing 7580291 relations and 5580291 ideals in 2000000 cliques
  169. Thu May 28 08:28:55 2026 commencing in-memory singleton removal
  170. Thu May 28 08:28:58 2026 begin with 162398945 relations and 147188675 unique ideals
  171. Thu May 28 08:29:10 2026 reduce to 162125899 relations and 141332396 ideals in 7 passes
  172. Thu May 28 08:29:10 2026 max relations containing the same ideal: 142
  173. Thu May 28 08:30:06 2026 removing 7588597 relations and 5588597 ideals in 2000000 cliques
  174. Thu May 28 08:30:08 2026 commencing in-memory singleton removal
  175. Thu May 28 08:30:10 2026 begin with 154537302 relations and 141332396 unique ideals
  176. Thu May 28 08:30:22 2026 reduce to 154252096 relations and 135455403 ideals in 7 passes
  177. Thu May 28 08:30:22 2026 max relations containing the same ideal: 137
  178. Thu May 28 08:31:15 2026 removing 7607536 relations and 5607536 ideals in 2000000 cliques
  179. Thu May 28 08:31:18 2026 commencing in-memory singleton removal
  180. Thu May 28 08:31:20 2026 begin with 146644560 relations and 135455403 unique ideals
  181. Thu May 28 08:31:34 2026 reduce to 146342329 relations and 129542060 ideals in 8 passes
  182. Thu May 28 08:31:34 2026 max relations containing the same ideal: 131
  183. Thu May 28 08:32:24 2026 removing 7644886 relations and 5644886 ideals in 2000000 cliques
  184. Thu May 28 08:32:27 2026 commencing in-memory singleton removal
  185. Thu May 28 08:32:29 2026 begin with 138697443 relations and 129542060 unique ideals
  186. Thu May 28 08:32:40 2026 reduce to 138375695 relations and 123571339 ideals in 8 passes
  187. Thu May 28 08:32:40 2026 max relations containing the same ideal: 127
  188. Thu May 28 08:33:29 2026 removing 7694068 relations and 5694068 ideals in 2000000 cliques
  189. Thu May 28 08:33:32 2026 commencing in-memory singleton removal
  190. Thu May 28 08:33:34 2026 begin with 130681627 relations and 123571339 unique ideals
  191. Thu May 28 08:33:44 2026 reduce to 130338625 relations and 117529907 ideals in 7 passes
  192. Thu May 28 08:33:44 2026 max relations containing the same ideal: 122
  193. Thu May 28 08:34:30 2026 removing 7754036 relations and 5754036 ideals in 2000000 cliques
  194. Thu May 28 08:34:33 2026 commencing in-memory singleton removal
  195. Thu May 28 08:34:35 2026 begin with 122584589 relations and 117529907 unique ideals
  196. Thu May 28 08:34:45 2026 reduce to 122212269 relations and 111398423 ideals in 8 passes
  197. Thu May 28 08:34:45 2026 max relations containing the same ideal: 118
  198. Thu May 28 08:35:28 2026 removing 7840668 relations and 5840668 ideals in 2000000 cliques
  199. Thu May 28 08:35:31 2026 commencing in-memory singleton removal
  200. Thu May 28 08:35:33 2026 begin with 114371601 relations and 111398423 unique ideals
  201. Thu May 28 08:35:44 2026 reduce to 113966140 relations and 105146519 ideals in 9 passes
  202. Thu May 28 08:35:44 2026 max relations containing the same ideal: 111
  203. Thu May 28 08:36:25 2026 removing 7945550 relations and 5945550 ideals in 2000000 cliques
  204. Thu May 28 08:36:28 2026 commencing in-memory singleton removal
  205. Thu May 28 08:36:29 2026 begin with 106020590 relations and 105146519 unique ideals
  206. Thu May 28 08:36:38 2026 reduce to 105570294 relations and 98744041 ideals in 8 passes
  207. Thu May 28 08:36:38 2026 max relations containing the same ideal: 104
  208. Thu May 28 08:37:17 2026 removing 8079910 relations and 6079910 ideals in 2000000 cliques
  209. Thu May 28 08:37:20 2026 commencing in-memory singleton removal
  210. Thu May 28 08:37:21 2026 begin with 97490384 relations and 98744041 unique ideals
  211. Thu May 28 08:37:29 2026 reduce to 96982650 relations and 92148297 ideals in 8 passes
  212. Thu May 28 08:37:29 2026 max relations containing the same ideal: 102
  213. Thu May 28 08:38:05 2026 removing 8238172 relations and 6238172 ideals in 2000000 cliques
  214. Thu May 28 08:38:08 2026 commencing in-memory singleton removal
  215. Thu May 28 08:38:09 2026 begin with 88744478 relations and 92148297 unique ideals
  216. Thu May 28 08:38:16 2026 reduce to 88161188 relations and 85316615 ideals in 8 passes
  217. Thu May 28 08:38:16 2026 max relations containing the same ideal: 97
  218. Thu May 28 08:38:48 2026 removing 5059506 relations and 4011210 ideals in 1048296 cliques
  219. Thu May 28 08:38:50 2026 commencing in-memory singleton removal
  220. Thu May 28 08:38:51 2026 begin with 83101682 relations and 85316615 unique ideals
  221. Thu May 28 08:38:58 2026 reduce to 82875953 relations and 81077453 ideals in 8 passes
  222. Thu May 28 08:38:58 2026 max relations containing the same ideal: 92
  223. Thu May 28 08:39:30 2026 trying target density 80
  224. Thu May 28 08:39:36 2026 relations with 0 large ideals: 5549
  225. Thu May 28 08:39:36 2026 relations with 1 large ideals: 24907
  226. Thu May 28 08:39:36 2026 relations with 2 large ideals: 380069
  227. Thu May 28 08:39:36 2026 relations with 3 large ideals: 2466524
  228. Thu May 28 08:39:36 2026 relations with 4 large ideals: 8591157
  229. Thu May 28 08:39:36 2026 relations with 5 large ideals: 17788923
  230. Thu May 28 08:39:36 2026 relations with 6 large ideals: 22893986
  231. Thu May 28 08:39:36 2026 relations with 7+ large ideals: 30724838
  232. Thu May 28 08:39:36 2026 commencing 2-way merge
  233. Thu May 28 08:40:22 2026 reduce to 50857077 relation sets and 49058577 unique ideals
  234. Thu May 28 08:40:22 2026 commencing full merge
  235. Thu May 28 08:51:12 2026 memory use: 5590.3 MB
  236. Thu May 28 08:51:18 2026 found 26346974 cycles, need 26098777
  237. Thu May 28 08:51:26 2026 weight of 26098777 cycles is about 2088135229 (80.01/cycle)
  238. Thu May 28 08:51:26 2026 distribution of cycle lengths:
  239. Thu May 28 08:51:27 2026 1 relations: 3115935
  240. Thu May 28 08:51:27 2026 2 relations: 2861537
  241. Thu May 28 08:51:27 2026 3 relations: 2951737
  242. Thu May 28 08:51:27 2026 4 relations: 2780833
  243. Thu May 28 08:51:27 2026 5 relations: 2676010
  244. Thu May 28 08:51:27 2026 6 relations: 2427419
  245. Thu May 28 08:51:27 2026 7 relations: 2170410
  246. Thu May 28 08:51:27 2026 8 relations: 1845941
  247. Thu May 28 08:51:27 2026 9 relations: 1502801
  248. Thu May 28 08:51:27 2026 10+ relations: 3766154
  249. Thu May 28 08:51:27 2026 heaviest cycle: 19 relations
  250. Thu May 28 08:51:29 2026 commencing cycle optimization
  251. Thu May 28 08:52:13 2026 start with 144401890 relations
  252. Thu May 28 08:54:57 2026 pruned 3351627 relations
  253. Thu May 28 08:55:00 2026 memory use: 4867.1 MB
  254. Thu May 28 08:55:00 2026 distribution of cycle lengths:
  255. Thu May 28 08:55:00 2026 1 relations: 3115935
  256. Thu May 28 08:55:00 2026 2 relations: 2924575
  257. Thu May 28 08:55:00 2026 3 relations: 3048299
  258. Thu May 28 08:55:00 2026 4 relations: 2850887
  259. Thu May 28 08:55:00 2026 5 relations: 2745910
  260. Thu May 28 08:55:00 2026 6 relations: 2475093
  261. Thu May 28 08:55:00 2026 7 relations: 2202393
  262. Thu May 28 08:55:00 2026 8 relations: 1849082
  263. Thu May 28 08:55:00 2026 9 relations: 1484684
  264. Thu May 28 08:55:00 2026 10+ relations: 3401919
  265. Thu May 28 08:55:00 2026 heaviest cycle: 19 relations
  266. Thu May 28 08:55:39 2026 trying target density 100
  267. Thu May 28 08:55:47 2026 relations with 0 large ideals: 5549
  268. Thu May 28 08:55:47 2026 relations with 1 large ideals: 24907
  269. Thu May 28 08:55:47 2026 relations with 2 large ideals: 380069
  270. Thu May 28 08:55:47 2026 relations with 3 large ideals: 2466524
  271. Thu May 28 08:55:47 2026 relations with 4 large ideals: 8591157
  272. Thu May 28 08:55:47 2026 relations with 5 large ideals: 17788923
  273. Thu May 28 08:55:47 2026 relations with 6 large ideals: 22893986
  274. Thu May 28 08:55:47 2026 relations with 7+ large ideals: 30724838
  275. Thu May 28 08:55:47 2026 commencing 2-way merge
  276. Thu May 28 08:56:42 2026 reduce to 50857077 relation sets and 49058577 unique ideals
  277. Thu May 28 08:56:42 2026 commencing full merge
  278. Thu May 28 09:09:02 2026 memory use: 5741.5 MB
  279. Thu May 28 09:09:07 2026 found 24238190 cycles, need 24006777
  280. Thu May 28 09:09:14 2026 weight of 24006777 cycles is about 2400966883 (100.01/cycle)
  281. Thu May 28 09:09:14 2026 distribution of cycle lengths:
  282. Thu May 28 09:09:14 2026 1 relations: 2243431
  283. Thu May 28 09:09:14 2026 2 relations: 2055609
  284. Thu May 28 09:09:14 2026 3 relations: 2132116
  285. Thu May 28 09:09:14 2026 4 relations: 2059410
  286. Thu May 28 09:09:14 2026 5 relations: 2054692
  287. Thu May 28 09:09:14 2026 6 relations: 1988526
  288. Thu May 28 09:09:14 2026 7 relations: 1872585
  289. Thu May 28 09:09:14 2026 8 relations: 1711158
  290. Thu May 28 09:09:14 2026 9 relations: 1543948
  291. Thu May 28 09:09:14 2026 10+ relations: 6345302
  292. Thu May 28 09:09:14 2026 heaviest cycle: 24 relations
  293. Thu May 28 09:09:19 2026 commencing cycle optimization
  294. Thu May 28 09:10:01 2026 start with 165541955 relations
  295. Thu May 28 09:14:15 2026 pruned 5175708 relations
  296. Thu May 28 09:14:17 2026 memory use: 5085.1 MB
  297. Thu May 28 09:14:17 2026 distribution of cycle lengths:
  298. Thu May 28 09:14:17 2026 1 relations: 2243431
  299. Thu May 28 09:14:17 2026 2 relations: 2105875
  300. Thu May 28 09:14:17 2026 3 relations: 2209866
  301. Thu May 28 09:14:17 2026 4 relations: 2126623
  302. Thu May 28 09:14:17 2026 5 relations: 2129269
  303. Thu May 28 09:14:17 2026 6 relations: 2049913
  304. Thu May 28 09:14:17 2026 7 relations: 1931027
  305. Thu May 28 09:14:17 2026 8 relations: 1754707
  306. Thu May 28 09:14:17 2026 9 relations: 1572610
  307. Thu May 28 09:14:17 2026 10+ relations: 5883456
  308. Thu May 28 09:14:17 2026 heaviest cycle: 24 relations
  309. Thu May 28 09:14:55 2026 trying target density 120
  310. Thu May 28 09:15:03 2026 relations with 0 large ideals: 5549
  311. Thu May 28 09:15:03 2026 relations with 1 large ideals: 24907
  312. Thu May 28 09:15:03 2026 relations with 2 large ideals: 380069
  313. Thu May 28 09:15:03 2026 relations with 3 large ideals: 2466524
  314. Thu May 28 09:15:03 2026 relations with 4 large ideals: 8591157
  315. Thu May 28 09:15:03 2026 relations with 5 large ideals: 17788923
  316. Thu May 28 09:15:03 2026 relations with 6 large ideals: 22893986
  317. Thu May 28 09:15:03 2026 relations with 7+ large ideals: 30724838
  318. Thu May 28 09:15:03 2026 commencing 2-way merge
  319. Thu May 28 09:15:48 2026 reduce to 50857077 relation sets and 49058577 unique ideals
  320. Thu May 28 09:15:48 2026 commencing full merge
  321. Thu May 28 09:31:36 2026 memory use: 5865.1 MB
  322. Thu May 28 09:31:40 2026 found 22710480 cycles, need 22558777
  323. Thu May 28 09:31:46 2026 weight of 22558777 cycles is about 2707158769 (120.00/cycle)
  324. Thu May 28 09:31:46 2026 distribution of cycle lengths:
  325. Thu May 28 09:31:46 2026 1 relations: 1716847
  326. Thu May 28 09:31:46 2026 2 relations: 1592272
  327. Thu May 28 09:31:46 2026 3 relations: 1637783
  328. Thu May 28 09:31:46 2026 4 relations: 1622682
  329. Thu May 28 09:31:46 2026 5 relations: 1631954
  330. Thu May 28 09:31:46 2026 6 relations: 1617419
  331. Thu May 28 09:31:46 2026 7 relations: 1558674
  332. Thu May 28 09:31:46 2026 8 relations: 1503934
  333. Thu May 28 09:31:46 2026 9 relations: 1408821
  334. Thu May 28 09:31:46 2026 10+ relations: 8268391
  335. Thu May 28 09:31:46 2026 heaviest cycle: 28 relations
  336. Thu May 28 09:31:52 2026 commencing cycle optimization
  337. Thu May 28 09:32:38 2026 start with 185957082 relations
  338. Thu May 28 09:38:25 2026 pruned 7115025 relations
  339. Thu May 28 09:38:25 2026 memory use: 5290.2 MB
  340. Thu May 28 09:38:25 2026 distribution of cycle lengths:
  341. Thu May 28 09:38:25 2026 1 relations: 1716847
  342. Thu May 28 09:38:25 2026 2 relations: 1632048
  343. Thu May 28 09:38:25 2026 3 relations: 1700582
  344. Thu May 28 09:38:25 2026 4 relations: 1681387
  345. Thu May 28 09:38:25 2026 5 relations: 1700132
  346. Thu May 28 09:38:25 2026 6 relations: 1679723
  347. Thu May 28 09:38:25 2026 7 relations: 1626094
  348. Thu May 28 09:38:25 2026 8 relations: 1561128
  349. Thu May 28 09:38:25 2026 9 relations: 1458842
  350. Thu May 28 09:38:25 2026 10+ relations: 7801994
  351. Thu May 28 09:38:25 2026 heaviest cycle: 28 relations
  352. Thu May 28 09:39:04 2026 RelProcTime: 9428
  353. Thu May 28 09:39:06 2026
  354. Thu May 28 09:39:06 2026 commencing linear algebra
  355. Thu May 28 09:39:06 2026 using VBITS=256
  356. Thu May 28 09:39:06 2026 building matrices for all densities
  357. Thu May 28 09:39:06 2026 found 3 density files
  358. Thu May 28 09:39:06 2026 building matrix for density 80
  359. Thu May 28 09:39:17 2026 read 26098777 cycles
  360. Thu May 28 09:40:01 2026 cycles contain 81701557 unique relations
  361. Thu May 28 09:50:53 2026 read 81701557 relations
  362. Thu May 28 09:51:20 2026 using 20 quadratic characters above 4294917295
  363. Thu May 28 09:51:46 2026 building initial matrix
  364. Thu May 28 10:07:04 2026 memory use: 11540.9 MB
  365. Thu May 28 10:07:15 2026 read 26098777 cycles
  366. Thu May 28 10:07:19 2026 matrix is 26098596 x 26098777 (8877.7 MB) with weight 2760212763 (105.76/col)
  367. Thu May 28 10:07:19 2026 sparse part has weight 2014061424 (77.17/col)
  368. Thu May 28 10:11:04 2026 filtering completed in 2 passes
  369. Thu May 28 10:11:09 2026 matrix is 26087826 x 26088005 (8876.9 MB) with weight 2759836288 (105.79/col)
  370. Thu May 28 10:11:09 2026 sparse part has weight 2013980029 (77.20/col)
  371. Thu May 28 10:12:04 2026 building matrix for density 100
  372. Thu May 28 10:12:06 2026 read 24006777 cycles
  373. Thu May 28 10:12:53 2026 cycles contain 81738816 unique relations
  374. Thu May 28 10:26:02 2026 read 81738816 relations
  375. Thu May 28 10:26:20 2026 using 20 quadratic characters above 4294917295
  376. Thu May 28 10:26:43 2026 building initial matrix
  377. Thu May 28 10:43:28 2026 memory use: 11555.1 MB
  378. Thu May 28 10:43:51 2026 read 24006777 cycles
  379. Thu May 28 10:43:55 2026 matrix is 24006597 x 24006777 (9791.0 MB) with weight 3013394058 (125.52/col)
  380. Thu May 28 10:43:55 2026 sparse part has weight 2278581179 (94.91/col)
  381. Thu May 28 10:47:01 2026 filtering completed in 2 passes
  382. Thu May 28 10:47:05 2026 matrix is 24001971 x 24002150 (9790.6 MB) with weight 3013201135 (125.54/col)
  383. Thu May 28 10:47:05 2026 sparse part has weight 2278530206 (94.93/col)
  384. Thu May 28 10:48:09 2026 building matrix for density 120
  385. Thu May 28 10:48:19 2026 read 22558777 cycles
  386. Thu May 28 10:49:08 2026 cycles contain 81750420 unique relations
  387. Thu May 28 11:00:16 2026 read 81750420 relations
  388. Thu May 28 11:00:40 2026 using 20 quadratic characters above 4294917295
  389. Thu May 28 11:01:07 2026 building initial matrix
  390. Thu May 28 11:19:01 2026 memory use: 11582.8 MB
  391. Thu May 28 11:19:31 2026 read 22558777 cycles
  392. Thu May 28 11:19:34 2026 matrix is 22558599 x 22558777 (10689.9 MB) with weight 3259744501 (144.50/col)
  393. Thu May 28 11:19:34 2026 sparse part has weight 2531589580 (112.22/col)
  394. Thu May 28 11:22:17 2026 filtering completed in 2 passes
  395. Thu May 28 11:22:23 2026 matrix is 22556959 x 22557136 (10689.7 MB) with weight 3259665917 (144.51/col)
  396. Thu May 28 11:22:23 2026 sparse part has weight 2531566963 (112.23/col)
  397. Thu May 28 11:23:12 2026 BLanczosTime: 6246
  398. Thu May 28 11:23:12 2026 elapsed time 04:21:17
  399. Thu May 28 17:00:57 2026
  400. Thu May 28 17:00:57 2026
  401. Thu May 28 17:00:57 2026 Msieve v. 1.54 (SVN unknown)
  402. Thu May 28 17:00:57 2026 random seeds: 1150b60e 813ca60d
  403. Thu May 28 17:00:57 2026 Using 8 OpenMP threads
  404. Thu May 28 17:00:57 2026 factoring 243600447030899079425586715959916490489805935237788868739597149731701684090729001662853666166349081207091114531766501322041236322207460186952409947528588356882672565893263869102397944477 (186 digits)
  405. Thu May 28 17:00:58 2026 no P-1/P+1/ECM available, skipping
  406. Thu May 28 17:00:58 2026 commencing number field sieve (186-digit input)
  407. Thu May 28 17:00:58 2026 R0: -2210066096222234617067744908064566336
  408. Thu May 28 17:00:58 2026 R1: 17091153828898735414121
  409. Thu May 28 17:00:58 2026 A0: 1238605425391654080019840285231930267909621290
  410. Thu May 28 17:00:58 2026 A1: 54514516740235826794748826502577883771
  411. Thu May 28 17:00:58 2026 A2: -1942858204878646123821368039316
  412. Thu May 28 17:00:58 2026 A3: -5507845544814787288211
  413. Thu May 28 17:00:58 2026 A4: 26945498073290
  414. Thu May 28 17:00:58 2026 A5: 9240
  415. Thu May 28 17:00:58 2026 skew 263534794.91, size 5.008e-18, alpha -7.916, combined = 4.729e-14 rroots = 5
  416. Thu May 28 17:00:58 2026
  417. Thu May 28 17:00:58 2026 commencing linear algebra
  418. Thu May 28 17:00:58 2026 using VBITS=64
  419. Thu May 28 17:00:58 2026 skipping matrix build
  420. Thu May 28 17:01:09 2026 matrix starts at (0, 0)
  421. Thu May 28 17:01:13 2026 matrix is 22556959 x 22557136 (10689.7 MB) with weight 3259665917 (144.51/col)
  422. Thu May 28 17:01:13 2026 sparse part has weight 2531566963 (112.23/col)
  423. Thu May 28 17:01:13 2026 saving the first 48 matrix rows for later
  424. Thu May 28 17:01:18 2026 matrix includes 64 packed rows
  425. Thu May 28 17:01:21 2026 matrix is 22556911 x 22557136 (10417.2 MB) with weight 2786618840 (123.54/col)
  426. Thu May 28 17:01:21 2026 sparse part has weight 2505247667 (111.06/col)
  427. Thu May 28 17:01:21 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  428. Thu May 28 17:01:21 2026 selected card has CUDA arch 7.0
  429. Thu May 28 17:08:31 2026 commencing Lanczos iteration
  430. Thu May 28 17:08:31 2026 memory use: 24018.3 MB
  431. Thu May 28 17:11:07 2026 checking every 10000 dimensions, checkpointing every 450000 dimensions
  432. Thu May 28 17:12:36 2026 linear algebra at 0.1%, ETA 50h20m
  433. Sat May 30 19:19:53 2026 lanczos halted after 356712 iterations (dim = 22556910)
  434. Sat May 30 19:20:23 2026 recovered 30 nontrivial dependencies
  435. Sat May 30 19:20:23 2026 BLanczosTime: 181165
  436. Sat May 30 19:20:23 2026 elapsed time 50:19:26
  437. Sat May 30 15:23:43 2026
  438. Sat May 30 15:23:43 2026
  439. Sat May 30 15:23:43 2026 Msieve v. 1.54 (SVN unknown)
  440. Sat May 30 15:23:43 2026 random seeds: e89c2070 356b5994
  441. Sat May 30 15:23:43 2026 Using 14 OpenMP threads
  442. Sat May 30 15:23:43 2026 factoring 243600447030899079425586715959916490489805935237788868739597149731701684090729001662853666166349081207091114531766501322041236322207460186952409947528588356882672565893263869102397944477 (186 digits)
  443. Sat May 30 15:23:44 2026 no P-1/P+1/ECM available, skipping
  444. Sat May 30 15:23:44 2026 commencing number field sieve (186-digit input)
  445. Sat May 30 15:23:44 2026 R0: -2210066096222234617067744908064566336
  446. Sat May 30 15:23:44 2026 R1: 17091153828898735414121
  447. Sat May 30 15:23:44 2026 A0: 1238605425391654080019840285231930267909621290
  448. Sat May 30 15:23:44 2026 A1: 54514516740235826794748826502577883771
  449. Sat May 30 15:23:44 2026 A2: -1942858204878646123821368039316
  450. Sat May 30 15:23:44 2026 A3: -5507845544814787288211
  451. Sat May 30 15:23:44 2026 A4: 26945498073290
  452. Sat May 30 15:23:44 2026 A5: 9240
  453. Sat May 30 15:23:44 2026 skew 263534794.91, size 5.008e-18, alpha -7.916, combined = 4.729e-14 rroots = 5
  454. Sat May 30 15:23:44 2026
  455. Sat May 30 15:23:44 2026 commencing square root phase
  456. Sat May 30 15:23:44 2026 reading relations for dependency 1
  457. Sat May 30 15:23:45 2026 read 11278772 cycles
  458. Sat May 30 15:24:01 2026 cycles contain 40881434 unique relations
  459. Sat May 30 15:26:28 2026 read 40881434 relations
  460. Sat May 30 15:28:31 2026 multiplying 40881434 relations
  461. Sat May 30 15:32:55 2026 multiply complete, coefficients have about 2301.72 million bits
  462. Sat May 30 15:33:00 2026 initial square root is modulo 145391
  463. Sat May 30 15:42:06 2026 sqrtTime: 1102
  464. Sat May 30 15:42:06 2026 p77 factor: 50765135705613525840403168164549860137305604686130509376154131697718627333797
  465. Sat May 30 15:42:06 2026 p109 factor: 4798577678262015157609064636602783819426130674767659298408919247792648354592881941400088634480720389017420441
  466. Sat May 30 15:42:06 2026 elapsed time 00:18:23
  467.  
Tags: math
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