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C186_2007666_1791_a msieve.log

kyleaskine
Sep 13th, 2026
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  1. Sat Sep 12 13:54:26 2026
  2. Sat Sep 12 13:54:26 2026
  3. Sat Sep 12 13:54:26 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Sep 12 13:54:26 2026 random seeds: aee92bb0 b51eacda
  5. Sat Sep 12 13:54:26 2026 Using 8 OpenMP threads
  6. Sat Sep 12 13:54:26 2026 factoring 319573213571502769158265021219758348702675775570868066590192557402402829692582285006610452340661872860286540710565687180059632073459167014907685671588715336578810399851302600602284165367 (186 digits)
  7. Sat Sep 12 13:54:26 2026 no P-1/P+1/ECM available, skipping
  8. Sat Sep 12 13:54:26 2026 commencing number field sieve (186-digit input)
  9. Sat Sep 12 13:54:26 2026 R0: -856578435581450655977518717486076356
  10. Sat Sep 12 13:54:26 2026 R1: 19389553443343852573591
  11. Sat Sep 12 13:54:26 2026 A0: 5737517772558192974578821666711757221948750
  12. Sat Sep 12 13:54:26 2026 A1: 3908112326761275972358546814202101019
  13. Sat Sep 12 13:54:26 2026 A2: -358906882374129265372581875588
  14. Sat Sep 12 13:54:26 2026 A3: 2005841482402024965453
  15. Sat Sep 12 13:54:26 2026 A4: 204604719629670
  16. Sat Sep 12 13:54:26 2026 A5: 1386000
  17. Sat Sep 12 13:54:26 2026 skew 40500098.26, size 5.646e-18, alpha -7.297, combined = 5.080e-14 rroots = 5
  18. Sat Sep 12 13:54:26 2026
  19. Sat Sep 12 13:54:26 2026 commencing relation filtering
  20. Sat Sep 12 13:54:26 2026 setting 3 target densities:Sat Sep 12 13:54:26 2026 90Sat Sep 12 13:54:26 2026 110Sat Sep 12 13:54:26 2026 130Sat Sep 12 13:54:26 2026
  21. Sat Sep 12 13:54:26 2026 estimated available RAM is 78540.1 MB
  22. Sat Sep 12 13:54:26 2026 commencing duplicate removal, pass 1
  23. Sat Sep 12 13:55:01 2026 error -1 reading relation 28485114
  24. Sat Sep 12 13:55:35 2026 error -1 reading relation 59704417
  25. Sat Sep 12 13:55:52 2026 error -1 reading relation 76607028
  26. Sat Sep 12 13:56:06 2026 error -1 reading relation 89108379
  27. Sat Sep 12 13:56:21 2026 error -1 reading relation 103314606
  28. Sat Sep 12 13:57:11 2026 error -15 reading relation 143679766
  29. Sat Sep 12 13:57:36 2026 error -1 reading relation 162350336
  30. Sat Sep 12 13:58:50 2026 error -1 reading relation 222631136
  31. Sat Sep 12 13:58:55 2026 error -1 reading relation 225890105
  32. Sat Sep 12 13:58:55 2026 error -15 reading relation 226211585
  33. Sat Sep 12 13:58:55 2026 error -1 reading relation 226268074
  34. Sat Sep 12 13:59:27 2026 error -1 reading relation 249690747
  35. Sat Sep 12 13:59:41 2026 error -1 reading relation 258683532
  36. Sat Sep 12 13:59:41 2026 error -1 reading relation 259444715
  37. Sat Sep 12 13:59:42 2026 error -1 reading relation 259740790
  38. Sat Sep 12 13:59:42 2026 error -1 reading relation 260236709
  39. Sat Sep 12 13:59:55 2026 error -1 reading relation 270650282
  40. Sat Sep 12 13:59:55 2026 error -1 reading relation 270705851
  41. Sat Sep 12 14:00:03 2026 error -15 reading relation 275398726
  42. Sat Sep 12 14:00:36 2026 error -1 reading relation 296782700
  43. Sat Sep 12 14:00:38 2026 error -1 reading relation 298214338
  44. Sat Sep 12 14:01:08 2026 error -1 reading relation 316733094
  45. Sat Sep 12 14:01:25 2026 error -1 reading relation 327707553
  46. Sat Sep 12 14:01:45 2026 error -1 reading relation 340959450
  47. Sat Sep 12 14:02:18 2026 error -1 reading relation 363622546
  48. Sat Sep 12 14:02:49 2026 error -1 reading relation 385206997
  49. Sat Sep 12 14:02:51 2026 error -1 reading relation 386031856
  50. Sat Sep 12 14:02:56 2026 error -1 reading relation 389450760
  51. Sat Sep 12 14:02:57 2026 error -1 reading relation 390497296
  52. Sat Sep 12 14:03:02 2026 error -1 reading relation 393908512
  53. Sat Sep 12 14:03:10 2026 error -1 reading relation 398744702
  54. Sat Sep 12 14:03:10 2026 error -1 reading relation 398749183
  55. Sat Sep 12 14:03:18 2026 error -1 reading relation 402281509
  56. Sat Sep 12 14:03:20 2026 error -1 reading relation 403435576
  57. Sat Sep 12 14:03:32 2026 error -1 reading relation 413668851
  58. Sat Sep 12 14:03:33 2026 error -1 reading relation 414401410
  59. Sat Sep 12 14:03:37 2026 error -1 reading relation 418008501
  60. Sat Sep 12 14:03:39 2026 error -1 reading relation 419564930
  61. Sat Sep 12 14:03:45 2026 error -1 reading relation 424710614
  62. Sat Sep 12 14:04:05 2026 error -1 reading relation 439795884
  63. Sat Sep 12 14:04:12 2026 error -1 reading relation 444890845
  64. Sat Sep 12 14:04:14 2026 error -1 reading relation 446429420
  65. Sat Sep 12 14:04:29 2026 error -1 reading relation 457708070
  66. Sat Sep 12 14:04:34 2026 error -1 reading relation 460822476
  67. Sat Sep 12 14:04:35 2026 error -1 reading relation 462103951
  68. Sat Sep 12 14:04:39 2026 error -1 reading relation 464041896
  69. Sat Sep 12 14:04:41 2026 error -1 reading relation 465076439
  70. Sat Sep 12 14:04:42 2026 error -1 reading relation 466223605
  71. Sat Sep 12 14:05:03 2026 error -1 reading relation 479410798
  72. Sat Sep 12 14:05:31 2026 error -1 reading relation 499552674
  73. Sat Sep 12 14:05:42 2026 error -1 reading relation 509618303
  74. Sat Sep 12 14:05:44 2026 error -1 reading relation 511857244
  75. Sat Sep 12 14:05:45 2026 error -1 reading relation 512447114
  76. Sat Sep 12 14:06:00 2026 error -1 reading relation 525625409
  77. Sat Sep 12 14:06:03 2026 error -15 reading relation 528547188
  78. Sat Sep 12 14:06:03 2026 error -15 reading relation 528631187
  79. Sat Sep 12 14:06:03 2026 error -1 reading relation 528631188
  80. Sat Sep 12 14:06:27 2026 error -1 reading relation 548858637
  81. Sat Sep 12 14:06:33 2026 error -1 reading relation 554130453
  82. Sat Sep 12 14:06:38 2026 error -15 reading relation 557892787
  83. Sat Sep 12 14:06:43 2026 error -1 reading relation 562668331
  84. Sat Sep 12 14:06:57 2026 error -1 reading relation 572403609
  85. Sat Sep 12 14:07:05 2026 error -1 reading relation 577947833
  86. Sat Sep 12 14:07:26 2026 error -1 reading relation 594714218
  87. Sat Sep 12 14:07:27 2026 error -1 reading relation 595238105
  88. Sat Sep 12 14:07:27 2026 error -1 reading relation 595532383
  89. Sat Sep 12 14:07:38 2026 error -1 reading relation 605837372
  90. Sat Sep 12 14:07:41 2026 error -1 reading relation 608517734
  91. Sat Sep 12 14:07:42 2026 error -1 reading relation 609453323
  92. Sat Sep 12 14:07:54 2026 error -1 reading relation 619708845
  93. Sat Sep 12 14:07:57 2026 error -1 reading relation 622216802
  94. Sat Sep 12 14:07:58 2026 error -1 reading relation 623109163
  95. Sat Sep 12 14:07:59 2026 error -1 reading relation 624461155
  96. Sat Sep 12 14:08:06 2026 skipped 1 relations with composite factors
  97. Sat Sep 12 14:08:06 2026 skipped 624 malformed relations
  98. Sat Sep 12 14:08:06 2026 found 126094753 hash collisions in 630338023 relations
  99. Sat Sep 12 14:08:18 2026 added 121883 free relations
  100. Sat Sep 12 14:08:18 2026 commencing duplicate removal, pass 2
  101. Sat Sep 12 14:14:25 2026 found 133095328 duplicates and 497364578 unique relations
  102. Sat Sep 12 14:14:25 2026 memory use: 3411.0 MB
  103. Sat Sep 12 14:14:24 2026 reading ideals above 264306688
  104. Sat Sep 12 14:14:24 2026 commencing singleton removal, initial pass
  105. Sat Sep 12 14:32:37 2026 memory use: 11024.0 MB
  106. Sat Sep 12 14:32:38 2026 reading all ideals from disk
  107. Sat Sep 12 14:33:10 2026 memory use: 12982.7 MB
  108. Sat Sep 12 14:33:53 2026 commencing in-memory singleton removal
  109. Sat Sep 12 14:33:57 2026 begin with 497364578 relations and 440630534 unique ideals
  110. Sat Sep 12 14:34:29 2026 reduce to 295974502 relations and 216829009 ideals in 16 passes
  111. Sat Sep 12 14:34:29 2026 max relations containing the same ideal: 34
  112. Sat Sep 12 14:34:36 2026 reading ideals above 720000
  113. Sat Sep 12 14:34:37 2026 commencing singleton removal, initial pass
  114. Sat Sep 12 14:53:44 2026 memory use: 6024.0 MB
  115. Sat Sep 12 14:53:45 2026 reading all ideals from disk
  116. Sat Sep 12 14:54:51 2026 memory use: 14577.3 MB
  117. Sat Sep 12 14:55:26 2026 keeping 244152546 ideals with weight <= 200, target excess is 1509150
  118. Sat Sep 12 14:55:52 2026 commencing in-memory singleton removal
  119. Sat Sep 12 14:55:57 2026 begin with 295974502 relations and 244152546 unique ideals
  120. Sat Sep 12 14:56:16 2026 reduce to 295967008 relations and 244145052 ideals in 7 passes
  121. Sat Sep 12 14:56:16 2026 max relations containing the same ideal: 200
  122. Sat Sep 12 14:57:40 2026 removing 14569659 relations and 12569659 ideals in 2000000 cliques
  123. Sat Sep 12 14:57:45 2026 commencing in-memory singleton removal
  124. Sat Sep 12 14:57:50 2026 begin with 281397349 relations and 244145052 unique ideals
  125. Sat Sep 12 14:58:12 2026 reduce to 280859474 relations and 231032405 ideals in 9 passes
  126. Sat Sep 12 14:58:12 2026 max relations containing the same ideal: 199
  127. Sat Sep 12 14:59:29 2026 removing 10955787 relations and 8955787 ideals in 2000000 cliques
  128. Sat Sep 12 14:59:33 2026 commencing in-memory singleton removal
  129. Sat Sep 12 14:59:37 2026 begin with 269903687 relations and 231032405 unique ideals
  130. Sat Sep 12 14:59:56 2026 reduce to 269563372 relations and 221733726 ideals in 8 passes
  131. Sat Sep 12 14:59:56 2026 max relations containing the same ideal: 196
  132. Sat Sep 12 15:01:12 2026 removing 9817897 relations and 7817897 ideals in 2000000 cliques
  133. Sat Sep 12 15:01:17 2026 commencing in-memory singleton removal
  134. Sat Sep 12 15:01:20 2026 begin with 259745475 relations and 221733726 unique ideals
  135. Sat Sep 12 15:01:38 2026 reduce to 259457436 relations and 213625587 ideals in 7 passes
  136. Sat Sep 12 15:01:38 2026 max relations containing the same ideal: 192
  137. Sat Sep 12 15:02:50 2026 removing 9184040 relations and 7184040 ideals in 2000000 cliques
  138. Sat Sep 12 15:02:55 2026 commencing in-memory singleton removal
  139. Sat Sep 12 15:02:58 2026 begin with 250273396 relations and 213625587 unique ideals
  140. Sat Sep 12 15:03:14 2026 reduce to 250008010 relations and 206174107 ideals in 7 passes
  141. Sat Sep 12 15:03:14 2026 max relations containing the same ideal: 188
  142. Sat Sep 12 15:04:24 2026 removing 8761781 relations and 6761781 ideals in 2000000 cliques
  143. Sat Sep 12 15:04:28 2026 commencing in-memory singleton removal
  144. Sat Sep 12 15:04:31 2026 begin with 241246229 relations and 206174107 unique ideals
  145. Sat Sep 12 15:04:47 2026 reduce to 240994966 relations and 199159136 ideals in 7 passes
  146. Sat Sep 12 15:04:47 2026 max relations containing the same ideal: 185
  147. Sat Sep 12 15:05:52 2026 removing 8463898 relations and 6463898 ideals in 2000000 cliques
  148. Sat Sep 12 15:05:55 2026 commencing in-memory singleton removal
  149. Sat Sep 12 15:05:58 2026 begin with 232531068 relations and 199159136 unique ideals
  150. Sat Sep 12 15:06:12 2026 reduce to 232287249 relations and 192449435 ideals in 7 passes
  151. Sat Sep 12 15:06:12 2026 max relations containing the same ideal: 181
  152. Sat Sep 12 15:07:15 2026 removing 8241860 relations and 6241860 ideals in 2000000 cliques
  153. Sat Sep 12 15:07:19 2026 commencing in-memory singleton removal
  154. Sat Sep 12 15:07:22 2026 begin with 224045389 relations and 192449435 unique ideals
  155. Sat Sep 12 15:07:35 2026 reduce to 223806273 relations and 185966602 ideals in 7 passes
  156. Sat Sep 12 15:07:35 2026 max relations containing the same ideal: 179
  157. Sat Sep 12 15:08:37 2026 removing 8069876 relations and 6069876 ideals in 2000000 cliques
  158. Sat Sep 12 15:08:41 2026 commencing in-memory singleton removal
  159. Sat Sep 12 15:08:44 2026 begin with 215736397 relations and 185966602 unique ideals
  160. Sat Sep 12 15:08:56 2026 reduce to 215499948 relations and 179658271 ideals in 6 passes
  161. Sat Sep 12 15:08:56 2026 max relations containing the same ideal: 174
  162. Sat Sep 12 15:09:58 2026 removing 7936993 relations and 5936993 ideals in 2000000 cliques
  163. Sat Sep 12 15:10:01 2026 commencing in-memory singleton removal
  164. Sat Sep 12 15:10:04 2026 begin with 207562955 relations and 179658271 unique ideals
  165. Sat Sep 12 15:10:18 2026 reduce to 207324237 relations and 173480611 ideals in 8 passes
  166. Sat Sep 12 15:10:18 2026 max relations containing the same ideal: 172
  167. Sat Sep 12 15:11:14 2026 removing 7832142 relations and 5832142 ideals in 2000000 cliques
  168. Sat Sep 12 15:11:17 2026 commencing in-memory singleton removal
  169. Sat Sep 12 15:11:20 2026 begin with 199492095 relations and 173480611 unique ideals
  170. Sat Sep 12 15:11:33 2026 reduce to 199251757 relations and 167406029 ideals in 7 passes
  171. Sat Sep 12 15:11:33 2026 max relations containing the same ideal: 166
  172. Sat Sep 12 15:12:27 2026 removing 7751747 relations and 5751747 ideals in 2000000 cliques
  173. Sat Sep 12 15:12:30 2026 commencing in-memory singleton removal
  174. Sat Sep 12 15:12:33 2026 begin with 191500010 relations and 167406029 unique ideals
  175. Sat Sep 12 15:12:42 2026 reduce to 191255220 relations and 161407220 ideals in 6 passes
  176. Sat Sep 12 15:12:42 2026 max relations containing the same ideal: 161
  177. Sat Sep 12 15:13:36 2026 removing 7693114 relations and 5693114 ideals in 2000000 cliques
  178. Sat Sep 12 15:13:40 2026 commencing in-memory singleton removal
  179. Sat Sep 12 15:13:42 2026 begin with 183562106 relations and 161407220 unique ideals
  180. Sat Sep 12 15:13:54 2026 reduce to 183311198 relations and 155460769 ideals in 8 passes
  181. Sat Sep 12 15:13:54 2026 max relations containing the same ideal: 158
  182. Sat Sep 12 15:14:48 2026 removing 7652598 relations and 5652598 ideals in 2000000 cliques
  183. Sat Sep 12 15:14:51 2026 commencing in-memory singleton removal
  184. Sat Sep 12 15:14:54 2026 begin with 175658600 relations and 155460769 unique ideals
  185. Sat Sep 12 15:15:04 2026 reduce to 175401210 relations and 149548209 ideals in 7 passes
  186. Sat Sep 12 15:15:04 2026 max relations containing the same ideal: 154
  187. Sat Sep 12 15:15:53 2026 removing 7621465 relations and 5621465 ideals in 2000000 cliques
  188. Sat Sep 12 15:15:56 2026 commencing in-memory singleton removal
  189. Sat Sep 12 15:15:58 2026 begin with 167779745 relations and 149548209 unique ideals
  190. Sat Sep 12 15:16:08 2026 reduce to 167513497 relations and 143657658 ideals in 7 passes
  191. Sat Sep 12 15:16:08 2026 max relations containing the same ideal: 150
  192. Sat Sep 12 15:16:54 2026 removing 7605323 relations and 5605323 ideals in 2000000 cliques
  193. Sat Sep 12 15:16:57 2026 commencing in-memory singleton removal
  194. Sat Sep 12 15:16:59 2026 begin with 159908174 relations and 143657658 unique ideals
  195. Sat Sep 12 15:17:09 2026 reduce to 159631780 relations and 137772893 ideals in 7 passes
  196. Sat Sep 12 15:17:09 2026 max relations containing the same ideal: 144
  197. Sat Sep 12 15:17:55 2026 removing 7602713 relations and 5602713 ideals in 2000000 cliques
  198. Sat Sep 12 15:17:56 2026 commencing in-memory singleton removal
  199. Sat Sep 12 15:17:59 2026 begin with 152029067 relations and 137772893 unique ideals
  200. Sat Sep 12 15:18:09 2026 reduce to 151737994 relations and 131875760 ideals in 7 passes
  201. Sat Sep 12 15:18:09 2026 max relations containing the same ideal: 140
  202. Sat Sep 12 15:18:55 2026 removing 7617397 relations and 5617397 ideals in 2000000 cliques
  203. Sat Sep 12 15:18:57 2026 commencing in-memory singleton removal
  204. Sat Sep 12 15:18:58 2026 begin with 144120597 relations and 131875760 unique ideals
  205. Sat Sep 12 15:19:09 2026 reduce to 143814282 relations and 125948459 ideals in 7 passes
  206. Sat Sep 12 15:19:09 2026 max relations containing the same ideal: 135
  207. Sat Sep 12 15:19:50 2026 removing 7640003 relations and 5640003 ideals in 2000000 cliques
  208. Sat Sep 12 15:19:53 2026 commencing in-memory singleton removal
  209. Sat Sep 12 15:19:55 2026 begin with 136174279 relations and 125948459 unique ideals
  210. Sat Sep 12 15:20:03 2026 reduce to 135849198 relations and 119979290 ideals in 8 passes
  211. Sat Sep 12 15:20:03 2026 max relations containing the same ideal: 131
  212. Sat Sep 12 15:20:41 2026 removing 7680772 relations and 5680772 ideals in 2000000 cliques
  213. Sat Sep 12 15:20:44 2026 commencing in-memory singleton removal
  214. Sat Sep 12 15:20:46 2026 begin with 128168426 relations and 119979290 unique ideals
  215. Sat Sep 12 15:20:53 2026 reduce to 127822364 relations and 113947871 ideals in 7 passes
  216. Sat Sep 12 15:20:53 2026 max relations containing the same ideal: 127
  217. Sat Sep 12 15:21:30 2026 removing 7732867 relations and 5732867 ideals in 2000000 cliques
  218. Sat Sep 12 15:21:32 2026 commencing in-memory singleton removal
  219. Sat Sep 12 15:21:33 2026 begin with 120089497 relations and 113947871 unique ideals
  220. Sat Sep 12 15:21:40 2026 reduce to 119714017 relations and 107834247 ideals in 7 passes
  221. Sat Sep 12 15:21:40 2026 max relations containing the same ideal: 123
  222. Sat Sep 12 15:22:15 2026 removing 7801407 relations and 5801407 ideals in 2000000 cliques
  223. Sat Sep 12 15:22:18 2026 commencing in-memory singleton removal
  224. Sat Sep 12 15:22:19 2026 begin with 111912610 relations and 107834247 unique ideals
  225. Sat Sep 12 15:22:26 2026 reduce to 111503724 relations and 101617965 ideals in 7 passes
  226. Sat Sep 12 15:22:26 2026 max relations containing the same ideal: 118
  227. Sat Sep 12 15:23:01 2026 removing 7892074 relations and 5892074 ideals in 2000000 cliques
  228. Sat Sep 12 15:23:04 2026 commencing in-memory singleton removal
  229. Sat Sep 12 15:23:05 2026 begin with 103611650 relations and 101617965 unique ideals
  230. Sat Sep 12 15:23:10 2026 reduce to 103161353 relations and 95268581 ideals in 7 passes
  231. Sat Sep 12 15:23:10 2026 max relations containing the same ideal: 114
  232. Sat Sep 12 15:23:42 2026 removing 8013791 relations and 6013791 ideals in 2000000 cliques
  233. Sat Sep 12 15:23:44 2026 commencing in-memory singleton removal
  234. Sat Sep 12 15:23:45 2026 begin with 95147562 relations and 95268581 unique ideals
  235. Sat Sep 12 15:23:51 2026 reduce to 94643738 relations and 88742738 ideals in 8 passes
  236. Sat Sep 12 15:23:51 2026 max relations containing the same ideal: 101
  237. Sat Sep 12 15:24:21 2026 removing 8156158 relations and 6156158 ideals in 2000000 cliques
  238. Sat Sep 12 15:24:23 2026 commencing in-memory singleton removal
  239. Sat Sep 12 15:24:24 2026 begin with 86487580 relations and 88742738 unique ideals
  240. Sat Sep 12 15:24:30 2026 reduce to 85913529 relations and 82002292 ideals in 8 passes
  241. Sat Sep 12 15:24:30 2026 max relations containing the same ideal: 93
  242. Sat Sep 12 15:24:55 2026 removing 8341595 relations and 6341595 ideals in 2000000 cliques
  243. Sat Sep 12 15:24:57 2026 commencing in-memory singleton removal
  244. Sat Sep 12 15:24:58 2026 begin with 77571934 relations and 82002292 unique ideals
  245. Sat Sep 12 15:25:03 2026 reduce to 76902879 relations and 74978622 ideals in 8 passes
  246. Sat Sep 12 15:25:03 2026 max relations containing the same ideal: 85
  247. Sat Sep 12 15:25:27 2026 removing 1161010 relations and 987367 ideals in 173643 cliques
  248. Sat Sep 12 15:25:28 2026 commencing in-memory singleton removal
  249. Sat Sep 12 15:25:29 2026 begin with 75741869 relations and 74978622 unique ideals
  250. Sat Sep 12 15:25:33 2026 reduce to 75730202 relations and 73979548 ideals in 7 passes
  251. Sat Sep 12 15:25:33 2026 max relations containing the same ideal: 85
  252. Sat Sep 12 15:25:35 2026 trying target density 90
  253. Sat Sep 12 15:25:40 2026 relations with 0 large ideals: 5630
  254. Sat Sep 12 15:25:40 2026 relations with 1 large ideals: 23679
  255. Sat Sep 12 15:25:40 2026 relations with 2 large ideals: 363123
  256. Sat Sep 12 15:25:40 2026 relations with 3 large ideals: 2341623
  257. Sat Sep 12 15:25:40 2026 relations with 4 large ideals: 8084061
  258. Sat Sep 12 15:25:40 2026 relations with 5 large ideals: 16538646
  259. Sat Sep 12 15:25:40 2026 relations with 6 large ideals: 20957386
  260. Sat Sep 12 15:25:40 2026 relations with 7+ large ideals: 27416054
  261. Sat Sep 12 15:25:40 2026 commencing 2-way merge
  262. Sat Sep 12 15:26:14 2026 reduce to 46053357 relation sets and 44302703 unique ideals
  263. Sat Sep 12 15:26:15 2026 commencing full merge
  264. Sat Sep 12 15:35:35 2026 memory use: 5220.6 MB
  265. Sat Sep 12 15:35:40 2026 found 22846413 cycles, need 22608903
  266. Sat Sep 12 15:35:46 2026 weight of 22608903 cycles is about 2034957949 (90.01/cycle)
  267. Sat Sep 12 15:35:46 2026 distribution of cycle lengths:
  268. Sat Sep 12 15:35:46 2026 1 relations: 2391526
  269. Sat Sep 12 15:35:46 2026 2 relations: 2146420
  270. Sat Sep 12 15:35:46 2026 3 relations: 2208090
  271. Sat Sep 12 15:35:46 2026 4 relations: 2170375
  272. Sat Sep 12 15:35:46 2026 5 relations: 2102153
  273. Sat Sep 12 15:35:46 2026 6 relations: 1986900
  274. Sat Sep 12 15:35:46 2026 7 relations: 1817187
  275. Sat Sep 12 15:35:47 2026 8 relations: 1628046
  276. Sat Sep 12 15:35:47 2026 9 relations: 1404710
  277. Sat Sep 12 15:35:47 2026 10+ relations: 4753496
  278. Sat Sep 12 15:35:47 2026 heaviest cycle: 21 relations
  279. Sat Sep 12 15:35:51 2026 commencing cycle optimization
  280. Sat Sep 12 15:36:25 2026 start with 141625243 relations
  281. Sat Sep 12 15:39:12 2026 pruned 3872054 relations
  282. Sat Sep 12 15:39:11 2026 memory use: 4545.5 MB
  283. Sat Sep 12 15:39:11 2026 distribution of cycle lengths:
  284. Sat Sep 12 15:39:11 2026 1 relations: 2391526
  285. Sat Sep 12 15:39:11 2026 2 relations: 2196912
  286. Sat Sep 12 15:39:11 2026 3 relations: 2286490
  287. Sat Sep 12 15:39:11 2026 4 relations: 2231562
  288. Sat Sep 12 15:39:11 2026 5 relations: 2169865
  289. Sat Sep 12 15:39:11 2026 6 relations: 2037737
  290. Sat Sep 12 15:39:11 2026 7 relations: 1863125
  291. Sat Sep 12 15:39:11 2026 8 relations: 1652020
  292. Sat Sep 12 15:39:11 2026 9 relations: 1410268
  293. Sat Sep 12 15:39:11 2026 10+ relations: 4369398
  294. Sat Sep 12 15:39:11 2026 heaviest cycle: 21 relations
  295. Sat Sep 12 15:39:43 2026 trying target density 110
  296. Sat Sep 12 15:39:48 2026 relations with 0 large ideals: 5630
  297. Sat Sep 12 15:39:48 2026 relations with 1 large ideals: 23679
  298. Sat Sep 12 15:39:48 2026 relations with 2 large ideals: 363123
  299. Sat Sep 12 15:39:48 2026 relations with 3 large ideals: 2341623
  300. Sat Sep 12 15:39:48 2026 relations with 4 large ideals: 8084061
  301. Sat Sep 12 15:39:48 2026 relations with 5 large ideals: 16538646
  302. Sat Sep 12 15:39:48 2026 relations with 6 large ideals: 20957386
  303. Sat Sep 12 15:39:48 2026 relations with 7+ large ideals: 27416054
  304. Sat Sep 12 15:39:48 2026 commencing 2-way merge
  305. Sat Sep 12 15:40:21 2026 reduce to 46053357 relation sets and 44302703 unique ideals
  306. Sat Sep 12 15:40:21 2026 commencing full merge
  307. Sat Sep 12 15:51:46 2026 memory use: 5365.7 MB
  308. Sat Sep 12 15:51:51 2026 found 21260178 cycles, need 21060903
  309. Sat Sep 12 15:51:59 2026 weight of 21060903 cycles is about 2317305395 (110.03/cycle)
  310. Sat Sep 12 15:51:59 2026 distribution of cycle lengths:
  311. Sat Sep 12 15:51:59 2026 1 relations: 1801000
  312. Sat Sep 12 15:51:59 2026 2 relations: 1633109
  313. Sat Sep 12 15:51:59 2026 3 relations: 1670619
  314. Sat Sep 12 15:51:59 2026 4 relations: 1637450
  315. Sat Sep 12 15:51:59 2026 5 relations: 1625889
  316. Sat Sep 12 15:51:59 2026 6 relations: 1583754
  317. Sat Sep 12 15:51:59 2026 7 relations: 1539533
  318. Sat Sep 12 15:51:59 2026 8 relations: 1448121
  319. Sat Sep 12 15:51:59 2026 9 relations: 1326582
  320. Sat Sep 12 15:51:59 2026 10+ relations: 6794846
  321. Sat Sep 12 15:51:59 2026 heaviest cycle: 26 relations
  322. Sat Sep 12 15:52:03 2026 commencing cycle optimization
  323. Sat Sep 12 15:52:37 2026 start with 160711997 relations
  324. Sat Sep 12 15:56:30 2026 pruned 5585391 relations
  325. Sat Sep 12 15:56:32 2026 memory use: 4738.8 MB
  326. Sat Sep 12 15:56:33 2026 distribution of cycle lengths:
  327. Sat Sep 12 15:56:33 2026 1 relations: 1801000
  328. Sat Sep 12 15:56:33 2026 2 relations: 1672897
  329. Sat Sep 12 15:56:33 2026 3 relations: 1732787
  330. Sat Sep 12 15:56:33 2026 4 relations: 1691243
  331. Sat Sep 12 15:56:33 2026 5 relations: 1690399
  332. Sat Sep 12 15:56:33 2026 6 relations: 1641408
  333. Sat Sep 12 15:56:33 2026 7 relations: 1596802
  334. Sat Sep 12 15:56:33 2026 8 relations: 1493755
  335. Sat Sep 12 15:56:33 2026 9 relations: 1364739
  336. Sat Sep 12 15:56:33 2026 10+ relations: 6375873
  337. Sat Sep 12 15:56:33 2026 heaviest cycle: 25 relations
  338. Sat Sep 12 15:57:05 2026 trying target density 130
  339. Sat Sep 12 15:57:10 2026 relations with 0 large ideals: 5630
  340. Sat Sep 12 15:57:10 2026 relations with 1 large ideals: 23679
  341. Sat Sep 12 15:57:10 2026 relations with 2 large ideals: 363123
  342. Sat Sep 12 15:57:10 2026 relations with 3 large ideals: 2341623
  343. Sat Sep 12 15:57:10 2026 relations with 4 large ideals: 8084061
  344. Sat Sep 12 15:57:10 2026 relations with 5 large ideals: 16538646
  345. Sat Sep 12 15:57:10 2026 relations with 6 large ideals: 20957386
  346. Sat Sep 12 15:57:10 2026 relations with 7+ large ideals: 27416054
  347. Sat Sep 12 15:57:10 2026 commencing 2-way merge
  348. Sat Sep 12 15:57:43 2026 reduce to 46053357 relation sets and 44302703 unique ideals
  349. Sat Sep 12 15:57:43 2026 commencing full merge
  350. Sat Sep 12 16:10:53 2026 memory use: 5455.1 MB
  351. Sat Sep 12 16:10:57 2026 found 20006557 cycles, need 19944903
  352. Sat Sep 12 16:11:02 2026 weight of 19944903 cycles is about 2593556134 (130.04/cycle)
  353. Sat Sep 12 16:11:02 2026 distribution of cycle lengths:
  354. Sat Sep 12 16:11:02 2026 1 relations: 1371253
  355. Sat Sep 12 16:11:02 2026 2 relations: 1305781
  356. Sat Sep 12 16:11:02 2026 3 relations: 1338867
  357. Sat Sep 12 16:11:02 2026 4 relations: 1313747
  358. Sat Sep 12 16:11:02 2026 5 relations: 1330981
  359. Sat Sep 12 16:11:02 2026 6 relations: 1300549
  360. Sat Sep 12 16:11:02 2026 7 relations: 1298511
  361. Sat Sep 12 16:11:02 2026 8 relations: 1243712
  362. Sat Sep 12 16:11:02 2026 9 relations: 1193812
  363. Sat Sep 12 16:11:02 2026 10+ relations: 8247690
  364. Sat Sep 12 16:11:02 2026 heaviest cycle: 28 relations
  365. Sat Sep 12 16:11:05 2026 commencing cycle optimization
  366. Sat Sep 12 16:11:43 2026 start with 179156372 relations
  367. Sat Sep 12 16:17:01 2026 pruned 7394979 relations
  368. Sat Sep 12 16:17:01 2026 memory use: 4925.0 MB
  369. Sat Sep 12 16:17:01 2026 distribution of cycle lengths:
  370. Sat Sep 12 16:17:01 2026 1 relations: 1371253
  371. Sat Sep 12 16:17:01 2026 2 relations: 1337826
  372. Sat Sep 12 16:17:01 2026 3 relations: 1390282
  373. Sat Sep 12 16:17:01 2026 4 relations: 1361155
  374. Sat Sep 12 16:17:01 2026 5 relations: 1387713
  375. Sat Sep 12 16:17:01 2026 6 relations: 1356628
  376. Sat Sep 12 16:17:01 2026 7 relations: 1356766
  377. Sat Sep 12 16:17:01 2026 8 relations: 1296981
  378. Sat Sep 12 16:17:01 2026 9 relations: 1244677
  379. Sat Sep 12 16:17:01 2026 10+ relations: 7841622
  380. Sat Sep 12 16:17:01 2026 heaviest cycle: 28 relations
  381. Sat Sep 12 16:17:32 2026 RelProcTime: 8586
  382. Sat Sep 12 16:17:36 2026
  383. Sat Sep 12 16:17:36 2026 commencing linear algebra
  384. Sat Sep 12 16:17:36 2026 using VBITS=256
  385. Sat Sep 12 16:17:36 2026 building matrices for all densities
  386. Sat Sep 12 16:17:36 2026 found 3 density files
  387. Sat Sep 12 16:17:36 2026 building matrix for density 90
  388. Sat Sep 12 16:17:44 2026 read 22608903 cycles
  389. Sat Sep 12 16:18:17 2026 cycles contain 74653790 unique relations
  390. Sat Sep 12 16:30:11 2026 read 74653790 relations
  391. Sat Sep 12 16:30:42 2026 using 20 quadratic characters above 4294917295
  392. Sat Sep 12 16:31:09 2026 building initial matrix
  393. Sat Sep 12 16:41:51 2026 memory use: 10473.4 MB
  394. Sat Sep 12 16:42:13 2026 read 22608903 cycles
  395. Sat Sep 12 16:42:16 2026 matrix is 22608723 x 22608903 (8473.2 MB) with weight 2601048130 (115.05/col)
  396. Sat Sep 12 16:42:16 2026 sparse part has weight 1949887744 (86.24/col)
  397. Sat Sep 12 16:44:56 2026 filtering completed in 2 passes
  398. Sat Sep 12 16:45:02 2026 matrix is 22603011 x 22603188 (8472.7 MB) with weight 2600833092 (115.06/col)
  399. Sat Sep 12 16:45:02 2026 sparse part has weight 1949834387 (86.26/col)
  400. Sat Sep 12 16:45:39 2026 building matrix for density 110
  401. Sat Sep 12 16:45:40 2026 read 21060903 cycles
  402. Sat Sep 12 16:46:05 2026 cycles contain 74671732 unique relations
  403. Sat Sep 12 16:57:39 2026 read 74671732 relations
  404. Sat Sep 12 16:58:08 2026 using 20 quadratic characters above 4294917295
  405. Sat Sep 12 16:58:34 2026 building initial matrix
  406. Sat Sep 12 17:09:44 2026 memory use: 10494.5 MB
  407. Sat Sep 12 17:10:18 2026 read 21060903 cycles
  408. Sat Sep 12 17:10:21 2026 matrix is 21060724 x 21060903 (9304.6 MB) with weight 2830538054 (134.40/col)
  409. Sat Sep 12 17:10:21 2026 sparse part has weight 2186424562 (103.81/col)
  410. Sat Sep 12 17:13:52 2026 filtering completed in 2 passes
  411. Sat Sep 12 17:13:57 2026 matrix is 21058156 x 21058333 (9304.4 MB) with weight 2830422589 (134.41/col)
  412. Sat Sep 12 17:13:57 2026 sparse part has weight 2186390383 (103.83/col)
  413. Sat Sep 12 17:14:47 2026 building matrix for density 130
  414. Sat Sep 12 17:14:49 2026 read 19944903 cycles
  415. Sat Sep 12 17:15:35 2026 cycles contain 74668431 unique relations
  416. Sat Sep 12 17:28:30 2026 read 74668431 relations
  417. Sat Sep 12 17:29:03 2026 using 20 quadratic characters above 4294917295
  418. Sat Sep 12 17:29:37 2026 building initial matrix
  419. Sat Sep 12 17:44:07 2026 memory use: 10211.1 MB
  420. Sat Sep 12 17:44:43 2026 read 19944903 cycles
  421. Sat Sep 12 17:44:45 2026 matrix is 19944726 x 19944903 (10122.3 MB) with weight 3054401910 (153.14/col)
  422. Sat Sep 12 17:44:45 2026 sparse part has weight 2414167297 (121.04/col)
  423. Sat Sep 12 17:48:25 2026 filtering completed in 2 passes
  424. Sat Sep 12 17:48:30 2026 matrix is 19944150 x 19944325 (10122.3 MB) with weight 3054374760 (153.15/col)
  425. Sat Sep 12 17:48:30 2026 sparse part has weight 2414159848 (121.04/col)
  426. Sat Sep 12 17:49:17 2026 BLanczosTime: 5501
  427. Sat Sep 12 17:49:17 2026 elapsed time 03:54:51
  428. Sat Sep 12 23:26:37 2026
  429. Sat Sep 12 23:26:37 2026
  430. Sat Sep 12 23:26:37 2026 Msieve v. 1.54 (SVN unknown)
  431. Sat Sep 12 23:26:37 2026 random seeds: 8ef59545 6c19e70e
  432. Sat Sep 12 23:26:37 2026 factoring 319573213571502769158265021219758348702675775570868066590192557402402829692582285006610452340661872860286540710565687180059632073459167014907685671588715336578810399851302600602284165367 (186 digits)
  433. Sat Sep 12 23:26:38 2026 no P-1/P+1/ECM available, skipping
  434. Sat Sep 12 23:26:38 2026 commencing number field sieve (186-digit input)
  435. Sat Sep 12 23:26:38 2026 R0: -856578435581450655977518717486076356
  436. Sat Sep 12 23:26:38 2026 R1: 19389553443343852573591
  437. Sat Sep 12 23:26:38 2026 A0: 5737517772558192974578821666711757221948750
  438. Sat Sep 12 23:26:38 2026 A1: 3908112326761275972358546814202101019
  439. Sat Sep 12 23:26:38 2026 A2: -358906882374129265372581875588
  440. Sat Sep 12 23:26:38 2026 A3: 2005841482402024965453
  441. Sat Sep 12 23:26:38 2026 A4: 204604719629670
  442. Sat Sep 12 23:26:38 2026 A5: 1386000
  443. Sat Sep 12 23:26:38 2026 skew 40500098.26, size 5.646e-18, alpha -7.297, combined = 5.080e-14 rroots = 5
  444. Sat Sep 12 23:26:38 2026
  445. Sat Sep 12 23:26:38 2026 commencing linear algebra
  446. Sat Sep 12 23:26:38 2026 using VBITS=256
  447. Sat Sep 12 23:26:38 2026 skipping matrix build
  448. Sat Sep 12 23:27:29 2026 matrix starts at (0, 0)
  449. Sat Sep 12 23:27:32 2026 matrix is 19944150 x 19944325 (10122.3 MB) with weight 3054374760 (153.15/col)
  450. Sat Sep 12 23:27:32 2026 sparse part has weight 2414159848 (121.04/col)
  451. Sat Sep 12 23:27:32 2026 saving the first 240 matrix rows for later
  452. Sat Sep 12 23:27:37 2026 matrix includes 256 packed rows
  453. Sat Sep 12 23:27:44 2026 matrix is 19943910 x 19944325 (9177.4 MB) with weight 2218003801 (111.21/col)
  454. Sat Sep 12 23:27:44 2026 sparse part has weight 2086680553 (104.63/col)
  455. Sat Sep 12 23:27:45 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  456. Sat Sep 12 23:27:45 2026 selected card has CUDA arch 12.0
  457. Sat Sep 12 23:27:46 2026 computed block_nnz 164561333 (L2 cache 100663296 bytes, average column weight 104.6)
  458. Sat Sep 12 23:27:46 2026 nonzeros per matrix block: 256000000
  459. Sat Sep 12 23:33:31 2026 commencing Lanczos iteration
  460. Sat Sep 12 23:33:34 2026 memory use: 22158.8 MB
  461. Sat Sep 12 23:33:52 2026 linear algebra at 0.2%, ETA 3h 4m
  462. Sat Sep 12 23:34:18 2026 checking every 100000 dimensions, checkpointing every 6500000 dimensions
  463. Sun Sep 13 02:39:40 2026 lanczos halted after 78139 iterations (dim = 19943910)
  464. Sun Sep 13 02:41:10 2026 recovered 31 nontrivial dependencies
  465. Sun Sep 13 02:41:11 2026 BLanczosTime: 11673
  466. Sun Sep 13 02:41:11 2026 elapsed time 03:14:34
  467. Sat Sep 12 22:52:22 2026
  468. Sat Sep 12 22:52:22 2026
  469. Sat Sep 12 22:52:22 2026 Msieve v. 1.54 (SVN unknown)
  470. Sat Sep 12 22:52:22 2026 random seeds: 3c9930fa ac5eab82
  471. Sat Sep 12 22:52:22 2026 Using 8 OpenMP threads
  472. Sat Sep 12 22:52:22 2026 factoring 319573213571502769158265021219758348702675775570868066590192557402402829692582285006610452340661872860286540710565687180059632073459167014907685671588715336578810399851302600602284165367 (186 digits)
  473. Sat Sep 12 22:52:22 2026 no P-1/P+1/ECM available, skipping
  474. Sat Sep 12 22:52:22 2026 commencing number field sieve (186-digit input)
  475. Sat Sep 12 22:52:22 2026 R0: -856578435581450655977518717486076356
  476. Sat Sep 12 22:52:22 2026 R1: 19389553443343852573591
  477. Sat Sep 12 22:52:22 2026 A0: 5737517772558192974578821666711757221948750
  478. Sat Sep 12 22:52:22 2026 A1: 3908112326761275972358546814202101019
  479. Sat Sep 12 22:52:22 2026 A2: -358906882374129265372581875588
  480. Sat Sep 12 22:52:22 2026 A3: 2005841482402024965453
  481. Sat Sep 12 22:52:22 2026 A4: 204604719629670
  482. Sat Sep 12 22:52:22 2026 A5: 1386000
  483. Sat Sep 12 22:52:22 2026 skew 40500098.26, size 5.646e-18, alpha -7.297, combined = 5.080e-14 rroots = 5
  484. Sat Sep 12 22:52:22 2026
  485. Sat Sep 12 22:52:22 2026 commencing square root phase
  486. Sat Sep 12 22:52:22 2026 reading relations for dependency 1
  487. Sat Sep 12 22:52:29 2026 read 9973908 cycles
  488. Sat Sep 12 22:52:45 2026 cycles contain 37338436 unique relations
  489. Sat Sep 12 23:05:09 2026 read 37338436 relations
  490. Sat Sep 12 23:07:04 2026 multiplying 37338436 relations
  491. Sat Sep 12 23:10:48 2026 multiply complete, coefficients have about 2227.92 million bits
  492. Sat Sep 12 23:10:52 2026 initial square root is modulo 99347
  493. Sat Sep 12 23:18:24 2026 GCD is N, no factor found
  494. Sat Sep 12 23:18:24 2026 reading relations for dependency 2
  495. Sat Sep 12 23:18:25 2026 read 9972293 cycles
  496. Sat Sep 12 23:18:39 2026 cycles contain 37328634 unique relations
  497. Sat Sep 12 23:28:38 2026 read 37328634 relations
  498. Sat Sep 12 23:33:32 2026 multiplying 37328634 relations
  499. Sat Sep 12 23:40:14 2026 multiply complete, coefficients have about 2227.33 million bits
  500. Sat Sep 12 23:40:21 2026 initial square root is modulo 99023
  501. Sat Sep 12 23:54:22 2026 GCD is 1, no factor found
  502. Sat Sep 12 23:54:22 2026 reading relations for dependency 3
  503. Sat Sep 12 23:54:24 2026 read 9971305 cycles
  504. Sat Sep 12 23:54:49 2026 cycles contain 37332246 unique relations
  505. Sun Sep 13 00:10:29 2026 read 37332246 relations
  506. Sun Sep 13 00:14:34 2026 multiplying 37332246 relations
  507. Sun Sep 13 00:21:06 2026 multiply complete, coefficients have about 2227.54 million bits
  508. Sun Sep 13 00:21:13 2026 initial square root is modulo 99137
  509. Sun Sep 13 00:35:03 2026 sqrtTime: 6161
  510. Sun Sep 13 00:35:03 2026 p78 factor: 127262986515517734377645239996641236190410171771414197758795730977220343476991
  511. Sun Sep 13 00:35:03 2026 p109 factor: 2511124580064257763867987819323951967057352726876085521642611589127330573852598289148951661620917972982153737
  512. Sun Sep 13 00:35:03 2026 elapsed time 01:42:41
  513.  
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