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C187_2484_1704 msieve.log

kyleaskine
Oct 31st, 2026
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  1. Fri Oct 30 15:46:55 2026
  2. Fri Oct 30 15:46:55 2026
  3. Fri Oct 30 15:46:55 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Oct 30 15:46:55 2026 random seeds: 78db6c6b 393fe75c
  5. Fri Oct 30 15:46:55 2026 Using 14 OpenMP threads
  6. Fri Oct 30 15:46:55 2026 factoring 1025196909926931908514215396247966845361015381263216464774365902370437851728945453299050904830303730747479922547559680951786393391348939224872986196722663574338909988637797116135119503941 (187 digits)
  7. Fri Oct 30 15:46:56 2026 no P-1/P+1/ECM available, skipping
  8. Fri Oct 30 15:46:56 2026 commencing number field sieve (187-digit input)
  9. Fri Oct 30 15:46:56 2026 R0: -1197807599717721788685127711433701863
  10. Fri Oct 30 15:46:56 2026 R1: 91707821644789669203193
  11. Fri Oct 30 15:46:56 2026 A0: -52865794583302575736130133852725300429855408
  12. Fri Oct 30 15:46:56 2026 A1: -4260478459459643810594946116376168880
  13. Fri Oct 30 15:46:56 2026 A2: -105322072979547293572541151786
  14. Fri Oct 30 15:46:56 2026 A3: 260571698948180912491
  15. Fri Oct 30 15:46:56 2026 A4: -156529371888070
  16. Fri Oct 30 15:46:56 2026 A5: 415800
  17. Fri Oct 30 15:46:56 2026 skew 61789555.60, size 4.447e-18, alpha -7.694, combined = 4.422e-14 rroots = 1
  18. Fri Oct 30 15:46:56 2026
  19. Fri Oct 30 15:46:56 2026 commencing relation filtering
  20. Fri Oct 30 15:46:56 2026 setting 3 target densities:Fri Oct 30 15:46:56 2026 90Fri Oct 30 15:46:56 2026 110Fri Oct 30 15:46:56 2026 130Fri Oct 30 15:46:56 2026
  21. Fri Oct 30 15:46:56 2026 estimated available RAM is 78541.8 MB
  22. Fri Oct 30 15:46:56 2026 commencing duplicate removal, pass 1
  23. Fri Oct 30 15:47:03 2026 error -1 reading relation 6591339
  24. Fri Oct 30 15:47:53 2026 error -15 reading relation 62386614
  25. Fri Oct 30 15:47:54 2026 error -1 reading relation 63693059
  26. Fri Oct 30 15:47:56 2026 error -1 reading relation 67239151
  27. Fri Oct 30 15:48:02 2026 error -1 reading relation 73194249
  28. Fri Oct 30 15:48:02 2026 error -1 reading relation 73327659
  29. Fri Oct 30 15:48:10 2026 error -1 reading relation 80843284
  30. Fri Oct 30 15:48:10 2026 error -1 reading relation 84121137
  31. Fri Oct 30 15:48:11 2026 error -1 reading relation 85114389
  32. Fri Oct 30 15:48:11 2026 error -1 reading relation 85192785
  33. Fri Oct 30 15:48:20 2026 error -15 reading relation 94450689
  34. Fri Oct 30 15:48:27 2026 error -1 reading relation 102074800
  35. Fri Oct 30 15:48:31 2026 error -1 reading relation 104702294
  36. Fri Oct 30 15:48:39 2026 error -1 reading relation 117792041
  37. Fri Oct 30 15:48:48 2026 error -1 reading relation 128520371
  38. Fri Oct 30 15:48:48 2026 error -1 reading relation 128520443
  39. Fri Oct 30 15:48:54 2026 error -5 reading relation 133413302
  40. Fri Oct 30 15:49:02 2026 error -1 reading relation 141583103
  41. Fri Oct 30 15:49:15 2026 error -1 reading relation 157237065
  42. Fri Oct 30 15:50:25 2026 error -1 reading relation 214352574
  43. Fri Oct 30 15:50:35 2026 error -1 reading relation 224137709
  44. Fri Oct 30 15:51:51 2026 error -1 reading relation 293454011
  45. Fri Oct 30 15:52:03 2026 error -1 reading relation 303264570
  46. Fri Oct 30 15:52:08 2026 error -1 reading relation 311038284
  47. Fri Oct 30 15:52:09 2026 error -1 reading relation 312996919
  48. Fri Oct 30 15:52:13 2026 error -1 reading relation 315710621
  49. Fri Oct 30 15:52:35 2026 error -1 reading relation 339896061
  50. Fri Oct 30 15:52:37 2026 error -1 reading relation 342801051
  51. Fri Oct 30 15:52:39 2026 error -1 reading relation 344313281
  52. Fri Oct 30 15:52:44 2026 error -1 reading relation 348391394
  53. Fri Oct 30 15:52:51 2026 error -1 reading relation 355191791
  54. Fri Oct 30 15:52:56 2026 error -1 reading relation 360858560
  55. Fri Oct 30 15:53:03 2026 error -1 reading relation 368028485
  56. Fri Oct 30 15:53:05 2026 error -1 reading relation 369442344
  57. Fri Oct 30 15:53:12 2026 error -1 reading relation 378955309
  58. Fri Oct 30 15:53:13 2026 error -1 reading relation 379962117
  59. Fri Oct 30 15:53:31 2026 error -1 reading relation 398775062
  60. Fri Oct 30 15:53:32 2026 error -1 reading relation 400495727
  61. Fri Oct 30 15:53:36 2026 error -1 reading relation 403139858
  62. Fri Oct 30 15:53:33 2026 error -1 reading relation 403816600
  63. Fri Oct 30 15:53:38 2026 error -1 reading relation 409143871
  64. Fri Oct 30 15:53:38 2026 error -1 reading relation 409448250
  65. Fri Oct 30 15:53:41 2026 error -1 reading relation 412285447
  66. Fri Oct 30 15:53:47 2026 error -1 reading relation 418404995
  67. Fri Oct 30 15:53:50 2026 error -1 reading relation 421379947
  68. Fri Oct 30 15:53:50 2026 error -1 reading relation 422066603
  69. Fri Oct 30 15:53:51 2026 error -1 reading relation 422209577
  70. Fri Oct 30 15:53:51 2026 error -1 reading relation 422523271
  71. Fri Oct 30 15:53:51 2026 error -1 reading relation 423097154
  72. Fri Oct 30 15:53:52 2026 error -1 reading relation 424541757
  73. Fri Oct 30 15:53:53 2026 error -1 reading relation 424766822
  74. Fri Oct 30 15:53:53 2026 error -1 reading relation 424846944
  75. Fri Oct 30 15:53:53 2026 error -1 reading relation 424861755
  76. Fri Oct 30 15:53:56 2026 error -1 reading relation 427496337
  77. Fri Oct 30 15:54:03 2026 error -1 reading relation 434311579
  78. Fri Oct 30 15:54:12 2026 error -1 reading relation 447265822
  79. Fri Oct 30 15:54:18 2026 error -1 reading relation 452825908
  80. Fri Oct 30 15:54:22 2026 error -1 reading relation 457164286
  81. Fri Oct 30 15:54:30 2026 error -1 reading relation 465608181
  82. Fri Oct 30 15:54:30 2026 error -1 reading relation 465616705
  83. Fri Oct 30 15:54:43 2026 error -11 reading relation 480920569
  84. Fri Oct 30 15:54:43 2026 error -15 reading relation 480923471
  85. Fri Oct 30 15:55:04 2026 error -1 reading relation 505435307
  86. Fri Oct 30 15:55:22 2026 error -1 reading relation 523536021
  87. Fri Oct 30 15:55:35 2026 error -1 reading relation 540878653
  88. Fri Oct 30 15:55:38 2026 error -1 reading relation 543980684
  89. Fri Oct 30 15:55:48 2026 error -1 reading relation 553628718
  90. Fri Oct 30 15:55:50 2026 error -1 reading relation 554577829
  91. Fri Oct 30 15:55:58 2026 error -1 reading relation 564016983
  92. Fri Oct 30 15:56:00 2026 error -1 reading relation 566044180
  93. Fri Oct 30 15:56:00 2026 error -1 reading relation 566182156
  94. Fri Oct 30 15:56:02 2026 error -1 reading relation 570317637
  95. Fri Oct 30 15:56:06 2026 error -1 reading relation 574828647
  96. Fri Oct 30 15:56:19 2026 error -1 reading relation 587941644
  97. Fri Oct 30 15:56:19 2026 error -1 reading relation 588011402
  98. Fri Oct 30 15:56:19 2026 error -1 reading relation 588123557
  99. Fri Oct 30 15:56:22 2026 error -1 reading relation 591306698
  100. Fri Oct 30 15:56:24 2026 error -1 reading relation 593510225
  101. Fri Oct 30 15:56:25 2026 error -1 reading relation 594226350
  102. Fri Oct 30 15:56:27 2026 error -1 reading relation 596324593
  103. Fri Oct 30 15:56:30 2026 error -1 reading relation 600090548
  104. Fri Oct 30 15:56:32 2026 error -1 reading relation 601017774
  105. Fri Oct 30 15:56:31 2026 error -1 reading relation 603129861
  106. Fri Oct 30 15:56:31 2026 error -1 reading relation 603225200
  107. Fri Oct 30 15:56:31 2026 error -1 reading relation 603229308
  108. Fri Oct 30 15:56:31 2026 error -1 reading relation 603232610
  109. Fri Oct 30 15:56:34 2026 error -1 reading relation 605914833
  110. Fri Oct 30 15:56:34 2026 error -1 reading relation 605916699
  111. Fri Oct 30 15:56:34 2026 error -1 reading relation 606074597
  112. Fri Oct 30 15:56:37 2026 error -1 reading relation 609660988
  113. Fri Oct 30 15:56:38 2026 error -1 reading relation 609947901
  114. Fri Oct 30 15:56:42 2026 error -1 reading relation 614694844
  115. Fri Oct 30 15:56:42 2026 error -1 reading relation 614705511
  116. Fri Oct 30 15:56:46 2026 error -1 reading relation 618024497
  117. Fri Oct 30 15:56:49 2026 error -1 reading relation 621610220
  118. Fri Oct 30 15:56:56 2026 error -1 reading relation 627362949
  119. Fri Oct 30 15:57:07 2026 error -1 reading relation 636148579
  120. Fri Oct 30 15:57:08 2026 error -1 reading relation 637262783
  121. Fri Oct 30 15:57:09 2026 error -1 reading relation 637416564
  122. Fri Oct 30 15:57:09 2026 error -1 reading relation 638164874
  123. Fri Oct 30 15:57:10 2026 skipped 2 relations with composite factors
  124. Fri Oct 30 15:57:10 2026 skipped 682 malformed relations
  125. Fri Oct 30 15:57:10 2026 found 134920778 hash collisions in 638436358 relations
  126. Fri Oct 30 15:57:10 2026 cached 638437142 relation coordinates for pass 2 (10765.8 MB)
  127. Fri Oct 30 15:57:23 2026 added 121991 free relations
  128. Fri Oct 30 15:57:23 2026 commencing duplicate removal, pass 2
  129. Fri Oct 30 16:00:10 2026 found 145020803 duplicates and 493537546 unique relations
  130. Fri Oct 30 16:00:10 2026 memory use: 6408.0 MB
  131. Fri Oct 30 16:00:12 2026 reading ideals above 270598144
  132. Fri Oct 30 16:00:12 2026 commencing singleton removal, initial pass
  133. Fri Oct 30 16:07:15 2026 LP64 contains 493537546 relations and 438136449 unique large ideals
  134. Fri Oct 30 16:07:15 2026 memory use: 16552.0 MB
  135. Fri Oct 30 16:07:16 2026 preparing 64-bit LP file for common filtering
  136. Fri Oct 30 16:07:16 2026 start with 493537546 relations and 438136449 ideals
  137. Fri Oct 30 16:07:42 2026 compacted LP dataset has 493537546 relations and 438136449 large ideals
  138. Fri Oct 30 16:07:42 2026 reading all ideals from disk
  139. Fri Oct 30 16:07:46 2026 memory use: 12859.3 MB
  140. Fri Oct 30 16:07:53 2026 commencing in-memory singleton removal
  141. Fri Oct 30 16:08:00 2026 begin with 493537546 relations and 438136449 unique ideals
  142. Fri Oct 30 16:08:00 2026 memory use: 3358.7 MB
  143. Fri Oct 30 16:08:14 2026 reduce to 291848182 relations and 213798222 ideals in 4 passes
  144. Fri Oct 30 16:08:14 2026 max relations containing the same ideal: 31
  145. Fri Oct 30 16:09:00 2026 reading ideals above 720000
  146. Fri Oct 30 16:09:00 2026 commencing singleton removal, initial pass
  147. Fri Oct 30 16:14:10 2026 LP64 contains 291848182 relations and 243161648 unique large ideals
  148. Fri Oct 30 16:14:10 2026 memory use: 8736.0 MB
  149. Fri Oct 30 16:14:11 2026 preparing 64-bit LP file for common filtering
  150. Fri Oct 30 16:14:11 2026 start with 291848182 relations and 243161648 ideals
  151. Fri Oct 30 16:14:36 2026 compacted LP dataset has 291848182 relations and 243161648 large ideals
  152. Fri Oct 30 16:14:36 2026 reading all ideals from disk
  153. Fri Oct 30 16:14:44 2026 memory use: 14411.4 MB
  154. Fri Oct 30 16:14:50 2026 keeping 241783629 ideals with weight <= 200, target excess is 1494283
  155. Fri Oct 30 16:15:14 2026 commencing in-memory singleton removal
  156. Fri Oct 30 16:15:23 2026 begin with 291848182 relations and 241783629 unique ideals
  157. Fri Oct 30 16:15:23 2026 memory use: 1860.7 MB
  158. Fri Oct 30 16:15:25 2026 reduce to 291838097 relations and 241773544 ideals in 1 passes
  159. Fri Oct 30 16:15:25 2026 max relations containing the same ideal: 200
  160. Fri Oct 30 16:16:53 2026 removing 14542055 relations and 12542055 ideals in 2000000 cliques
  161. Fri Oct 30 16:16:54 2026 commencing in-memory singleton removal
  162. Fri Oct 30 16:17:03 2026 begin with 277296042 relations and 241773544 unique ideals
  163. Fri Oct 30 16:17:03 2026 memory use: 1860.6 MB
  164. Fri Oct 30 16:17:07 2026 reduce to 276755130 relations and 228685560 ideals in 1 passes
  165. Fri Oct 30 16:17:07 2026 max relations containing the same ideal: 199
  166. Fri Oct 30 16:18:28 2026 removing 10946459 relations and 8946459 ideals in 2000000 cliques
  167. Fri Oct 30 16:18:31 2026 commencing in-memory singleton removal
  168. Fri Oct 30 16:18:39 2026 begin with 265808671 relations and 228685560 unique ideals
  169. Fri Oct 30 16:18:39 2026 memory use: 1760.7 MB
  170. Fri Oct 30 16:18:42 2026 reduce to 265468237 relations and 219395928 ideals in 1 passes
  171. Fri Oct 30 16:18:42 2026 max relations containing the same ideal: 196
  172. Fri Oct 30 16:19:59 2026 removing 9805587 relations and 7805587 ideals in 2000000 cliques
  173. Fri Oct 30 16:20:00 2026 commencing in-memory singleton removal
  174. Fri Oct 30 16:20:08 2026 begin with 255662650 relations and 219395928 unique ideals
  175. Fri Oct 30 16:20:08 2026 memory use: 1689.9 MB
  176. Fri Oct 30 16:20:11 2026 reduce to 255370827 relations and 211296353 ideals in 1 passes
  177. Fri Oct 30 16:20:11 2026 max relations containing the same ideal: 193
  178. Fri Oct 30 16:21:19 2026 removing 9177391 relations and 7177391 ideals in 2000000 cliques
  179. Fri Oct 30 16:21:20 2026 commencing in-memory singleton removal
  180. Fri Oct 30 16:21:27 2026 begin with 246193436 relations and 211296353 unique ideals
  181. Fri Oct 30 16:21:27 2026 memory use: 1628.1 MB
  182. Fri Oct 30 16:21:30 2026 reduce to 245927686 relations and 203851117 ideals in 1 passes
  183. Fri Oct 30 16:21:30 2026 max relations containing the same ideal: 189
  184. Fri Oct 30 16:22:37 2026 removing 8759206 relations and 6759206 ideals in 2000000 cliques
  185. Fri Oct 30 16:22:39 2026 commencing in-memory singleton removal
  186. Fri Oct 30 16:22:45 2026 begin with 237168480 relations and 203851117 unique ideals
  187. Fri Oct 30 16:22:45 2026 memory use: 1571.3 MB
  188. Fri Oct 30 16:22:45 2026 reduce to 236916586 relations and 196838023 ideals in 1 passes
  189. Fri Oct 30 16:22:45 2026 max relations containing the same ideal: 186
  190. Fri Oct 30 16:23:48 2026 removing 8461559 relations and 6461559 ideals in 2000000 cliques
  191. Fri Oct 30 16:23:50 2026 commencing in-memory singleton removal
  192. Fri Oct 30 16:23:56 2026 begin with 228455027 relations and 196838023 unique ideals
  193. Fri Oct 30 16:23:56 2026 memory use: 1517.8 MB
  194. Fri Oct 30 16:23:59 2026 reduce to 228209594 relations and 190129111 ideals in 1 passes
  195. Fri Oct 30 16:23:59 2026 max relations containing the same ideal: 184
  196. Fri Oct 30 16:25:00 2026 removing 8240905 relations and 6240905 ideals in 2000000 cliques
  197. Fri Oct 30 16:25:01 2026 commencing in-memory singleton removal
  198. Fri Oct 30 16:25:07 2026 begin with 219968689 relations and 190129111 unique ideals
  199. Fri Oct 30 16:25:07 2026 memory use: 1466.6 MB
  200. Fri Oct 30 16:25:10 2026 reduce to 219726860 relations and 183644419 ideals in 1 passes
  201. Fri Oct 30 16:25:10 2026 max relations containing the same ideal: 180
  202. Fri Oct 30 16:26:09 2026 removing 8073598 relations and 6073598 ideals in 2000000 cliques
  203. Fri Oct 30 16:26:10 2026 commencing in-memory singleton removal
  204. Fri Oct 30 16:26:13 2026 begin with 211653262 relations and 183644419 unique ideals
  205. Fri Oct 30 16:26:13 2026 memory use: 1417.1 MB
  206. Fri Oct 30 16:26:16 2026 reduce to 211411810 relations and 177327288 ideals in 1 passes
  207. Fri Oct 30 16:26:16 2026 max relations containing the same ideal: 176
  208. Fri Oct 30 16:27:13 2026 removing 7945082 relations and 5945082 ideals in 2000000 cliques
  209. Fri Oct 30 16:27:15 2026 commencing in-memory singleton removal
  210. Fri Oct 30 16:27:20 2026 begin with 203466728 relations and 177327288 unique ideals
  211. Fri Oct 30 16:27:20 2026 memory use: 1368.9 MB
  212. Fri Oct 30 16:27:22 2026 reduce to 203226366 relations and 171139749 ideals in 1 passes
  213. Fri Oct 30 16:27:22 2026 max relations containing the same ideal: 171
  214. Fri Oct 30 16:28:18 2026 removing 7841732 relations and 5841732 ideals in 2000000 cliques
  215. Fri Oct 30 16:28:19 2026 commencing in-memory singleton removal
  216. Fri Oct 30 16:28:25 2026 begin with 195384634 relations and 171139749 unique ideals
  217. Fri Oct 30 16:28:25 2026 memory use: 1321.7 MB
  218. Fri Oct 30 16:28:27 2026 reduce to 195141102 relations and 165052350 ideals in 1 passes
  219. Fri Oct 30 16:28:27 2026 max relations containing the same ideal: 163
  220. Fri Oct 30 16:29:20 2026 removing 7763684 relations and 5763684 ideals in 2000000 cliques
  221. Fri Oct 30 16:29:21 2026 commencing in-memory singleton removal
  222. Fri Oct 30 16:29:26 2026 begin with 187377418 relations and 165052350 unique ideals
  223. Fri Oct 30 16:29:26 2026 memory use: 1275.2 MB
  224. Fri Oct 30 16:29:29 2026 reduce to 187127356 relations and 159036284 ideals in 1 passes
  225. Fri Oct 30 16:29:29 2026 max relations containing the same ideal: 160
  226. Fri Oct 30 16:30:19 2026 removing 7706234 relations and 5706234 ideals in 2000000 cliques
  227. Fri Oct 30 16:30:20 2026 commencing in-memory singleton removal
  228. Fri Oct 30 16:30:25 2026 begin with 179421122 relations and 159036284 unique ideals
  229. Fri Oct 30 16:30:25 2026 memory use: 1229.4 MB
  230. Fri Oct 30 16:30:27 2026 reduce to 179165925 relations and 153072312 ideals in 1 passes
  231. Fri Oct 30 16:30:27 2026 max relations containing the same ideal: 155
  232. Fri Oct 30 16:31:15 2026 removing 7669660 relations and 5669660 ideals in 2000000 cliques
  233. Fri Oct 30 16:31:16 2026 commencing in-memory singleton removal
  234. Fri Oct 30 16:31:21 2026 begin with 171496265 relations and 153072312 unique ideals
  235. Fri Oct 30 16:31:21 2026 memory use: 1183.8 MB
  236. Fri Oct 30 16:31:23 2026 reduce to 171233659 relations and 147137310 ideals in 1 passes
  237. Fri Oct 30 16:31:23 2026 max relations containing the same ideal: 150
  238. Fri Oct 30 16:32:09 2026 removing 7641944 relations and 5641944 ideals in 2000000 cliques
  239. Fri Oct 30 16:32:10 2026 commencing in-memory singleton removal
  240. Fri Oct 30 16:32:14 2026 begin with 163591715 relations and 147137310 unique ideals
  241. Fri Oct 30 16:32:14 2026 memory use: 1138.6 MB
  242. Fri Oct 30 16:32:17 2026 reduce to 163318019 relations and 141218772 ideals in 1 passes
  243. Fri Oct 30 16:32:17 2026 max relations containing the same ideal: 146
  244. Fri Oct 30 16:33:01 2026 removing 7635189 relations and 5635189 ideals in 2000000 cliques
  245. Fri Oct 30 16:33:02 2026 commencing in-memory singleton removal
  246. Fri Oct 30 16:33:06 2026 begin with 155682830 relations and 141218772 unique ideals
  247. Fri Oct 30 16:33:06 2026 memory use: 1093.4 MB
  248. Fri Oct 30 16:33:08 2026 reduce to 155398621 relations and 135296201 ideals in 1 passes
  249. Fri Oct 30 16:33:08 2026 max relations containing the same ideal: 142
  250. Fri Oct 30 16:33:52 2026 removing 7640398 relations and 5640398 ideals in 2000000 cliques
  251. Fri Oct 30 16:33:53 2026 commencing in-memory singleton removal
  252. Fri Oct 30 16:33:57 2026 begin with 147758223 relations and 135296201 unique ideals
  253. Fri Oct 30 16:33:57 2026 memory use: 1048.2 MB
  254. Fri Oct 30 16:33:59 2026 reduce to 147459645 relations and 129353818 ideals in 1 passes
  255. Fri Oct 30 16:33:59 2026 max relations containing the same ideal: 137
  256. Fri Oct 30 16:34:40 2026 removing 7654562 relations and 5654562 ideals in 2000000 cliques
  257. Fri Oct 30 16:34:41 2026 commencing in-memory singleton removal
  258. Fri Oct 30 16:34:45 2026 begin with 139805083 relations and 129353818 unique ideals
  259. Fri Oct 30 16:34:45 2026 memory use: 1002.9 MB
  260. Fri Oct 30 16:34:47 2026 reduce to 139488587 relations and 123378797 ideals in 1 passes
  261. Fri Oct 30 16:34:47 2026 max relations containing the same ideal: 134
  262. Fri Oct 30 16:35:29 2026 removing 7686699 relations and 5686699 ideals in 2000000 cliques
  263. Fri Oct 30 16:35:30 2026 commencing in-memory singleton removal
  264. Fri Oct 30 16:35:31 2026 begin with 131801888 relations and 123378797 unique ideals
  265. Fri Oct 30 16:35:31 2026 memory use: 957.3 MB
  266. Fri Oct 30 16:35:33 2026 reduce to 131463661 relations and 117349536 ideals in 1 passes
  267. Fri Oct 30 16:35:33 2026 max relations containing the same ideal: 133
  268. Fri Oct 30 16:36:13 2026 removing 7731145 relations and 5731145 ideals in 2000000 cliques
  269. Fri Oct 30 16:36:14 2026 commencing in-memory singleton removal
  270. Fri Oct 30 16:36:17 2026 begin with 123732516 relations and 117349536 unique ideals
  271. Fri Oct 30 16:36:17 2026 memory use: 911.3 MB
  272. Fri Oct 30 16:36:19 2026 reduce to 123368619 relations and 111249589 ideals in 1 passes
  273. Fri Oct 30 16:36:19 2026 max relations containing the same ideal: 124
  274. Fri Oct 30 16:36:55 2026 removing 7797452 relations and 5797452 ideals in 2000000 cliques
  275. Fri Oct 30 16:36:56 2026 commencing in-memory singleton removal
  276. Fri Oct 30 16:36:56 2026 begin with 115571167 relations and 111249589 unique ideals
  277. Fri Oct 30 16:36:56 2026 memory use: 864.8 MB
  278. Fri Oct 30 16:36:58 2026 reduce to 115177364 relations and 105052715 ideals in 1 passes
  279. Fri Oct 30 16:36:58 2026 max relations containing the same ideal: 116
  280. Fri Oct 30 16:37:31 2026 removing 7882436 relations and 5882436 ideals in 2000000 cliques
  281. Fri Oct 30 16:37:31 2026 commencing in-memory singleton removal
  282. Fri Oct 30 16:37:34 2026 begin with 107294928 relations and 105052715 unique ideals
  283. Fri Oct 30 16:37:34 2026 memory use: 817.5 MB
  284. Fri Oct 30 16:37:35 2026 reduce to 106863743 relations and 98732479 ideals in 1 passes
  285. Fri Oct 30 16:37:35 2026 max relations containing the same ideal: 110
  286. Fri Oct 30 16:38:10 2026 removing 7988286 relations and 5988286 ideals in 2000000 cliques
  287. Fri Oct 30 16:38:10 2026 commencing in-memory singleton removal
  288. Fri Oct 30 16:38:13 2026 begin with 98875457 relations and 98732479 unique ideals
  289. Fri Oct 30 16:38:13 2026 memory use: 769.3 MB
  290. Fri Oct 30 16:38:14 2026 reduce to 98393778 relations and 92254872 ideals in 1 passes
  291. Fri Oct 30 16:38:14 2026 max relations containing the same ideal: 103
  292. Fri Oct 30 16:38:46 2026 removing 8124620 relations and 6124620 ideals in 2000000 cliques
  293. Fri Oct 30 16:38:47 2026 commencing in-memory singleton removal
  294. Fri Oct 30 16:38:49 2026 begin with 90269158 relations and 92254872 unique ideals
  295. Fri Oct 30 16:38:49 2026 memory use: 719.8 MB
  296. Fri Oct 30 16:38:51 2026 reduce to 89722060 relations and 85573999 ideals in 1 passes
  297. Fri Oct 30 16:38:51 2026 max relations containing the same ideal: 99
  298. Fri Oct 30 16:39:17 2026 removing 8290595 relations and 6290595 ideals in 2000000 cliques
  299. Fri Oct 30 16:39:18 2026 commencing in-memory singleton removal
  300. Fri Oct 30 16:39:20 2026 begin with 81431465 relations and 85573999 unique ideals
  301. Fri Oct 30 16:39:20 2026 memory use: 668.9 MB
  302. Fri Oct 30 16:39:21 2026 reduce to 80801775 relations and 78641945 ideals in 1 passes
  303. Fri Oct 30 16:39:21 2026 max relations containing the same ideal: 93
  304. Fri Oct 30 16:39:45 2026 removing 2448417 relations and 2021956 ideals in 426461 cliques
  305. Fri Oct 30 16:39:46 2026 commencing in-memory singleton removal
  306. Fri Oct 30 16:39:48 2026 begin with 78353358 relations and 78641945 unique ideals
  307. Fri Oct 30 16:39:48 2026 memory use: 616.0 MB
  308. Fri Oct 30 16:39:49 2026 reduce to 78300412 relations and 76566809 ideals in 1 passes
  309. Fri Oct 30 16:39:49 2026 max relations containing the same ideal: 91
  310. Fri Oct 30 16:40:13 2026 trying target density 90
  311. Fri Oct 30 16:40:13 2026 relations with 0 large ideals: 5513
  312. Fri Oct 30 16:40:13 2026 relations with 1 large ideals: 22405
  313. Fri Oct 30 16:40:13 2026 relations with 2 large ideals: 348163
  314. Fri Oct 30 16:40:13 2026 relations with 3 large ideals: 2282498
  315. Fri Oct 30 16:40:13 2026 relations with 4 large ideals: 8010921
  316. Fri Oct 30 16:40:13 2026 relations with 5 large ideals: 16672096
  317. Fri Oct 30 16:40:13 2026 relations with 6 large ideals: 21600190
  318. Fri Oct 30 16:40:13 2026 relations with 7+ large ideals: 29358626
  319. Fri Oct 30 16:40:13 2026 commencing 2-way merge
  320. Fri Oct 30 16:40:49 2026 reduce to 47882588 relation sets and 46148985 unique ideals
  321. Fri Oct 30 16:40:49 2026 commencing full merge
  322. Fri Oct 30 16:49:41 2026 memory use: 5645.8 MB
  323. Fri Oct 30 16:49:41 2026 found 23816532 cycles, need 23581185
  324. Fri Oct 30 16:49:41 2026 weight of 23581185 cycles is about 2122453533 (90.01/cycle)
  325. Fri Oct 30 16:49:41 2026 distribution of cycle lengths:
  326. Fri Oct 30 16:49:41 2026 1 relations: 2478814
  327. Fri Oct 30 16:49:41 2026 2 relations: 2249541
  328. Fri Oct 30 16:49:41 2026 3 relations: 2312762
  329. Fri Oct 30 16:49:41 2026 4 relations: 2275372
  330. Fri Oct 30 16:49:41 2026 5 relations: 2206179
  331. Fri Oct 30 16:49:41 2026 6 relations: 2079404
  332. Fri Oct 30 16:49:41 2026 7 relations: 1904664
  333. Fri Oct 30 16:49:41 2026 8 relations: 1705850
  334. Fri Oct 30 16:49:41 2026 9 relations: 1474293
  335. Fri Oct 30 16:49:41 2026 10+ relations: 4894306
  336. Fri Oct 30 16:49:41 2026 heaviest cycle: 21 relations
  337. Fri Oct 30 16:49:42 2026 commencing cycle optimization
  338. Fri Oct 30 16:50:10 2026 start with 147003100 relations
  339. Fri Oct 30 16:52:27 2026 pruned 4049330 relations
  340. Fri Oct 30 16:52:27 2026 memory use: 4949.9 MB
  341. Fri Oct 30 16:52:27 2026 distribution of cycle lengths:
  342. Fri Oct 30 16:52:27 2026 1 relations: 2478814
  343. Fri Oct 30 16:52:27 2026 2 relations: 2302194
  344. Fri Oct 30 16:52:27 2026 3 relations: 2395714
  345. Fri Oct 30 16:52:27 2026 4 relations: 2339973
  346. Fri Oct 30 16:52:27 2026 5 relations: 2277668
  347. Fri Oct 30 16:52:27 2026 6 relations: 2133407
  348. Fri Oct 30 16:52:27 2026 7 relations: 1952945
  349. Fri Oct 30 16:52:27 2026 8 relations: 1731756
  350. Fri Oct 30 16:52:27 2026 9 relations: 1482030
  351. Fri Oct 30 16:52:27 2026 10+ relations: 4486684
  352. Fri Oct 30 16:52:27 2026 heaviest cycle: 21 relations
  353. Fri Oct 30 16:52:47 2026 trying target density 110
  354. Fri Oct 30 16:52:48 2026 relations with 0 large ideals: 5513
  355. Fri Oct 30 16:52:48 2026 relations with 1 large ideals: 22405
  356. Fri Oct 30 16:52:48 2026 relations with 2 large ideals: 348163
  357. Fri Oct 30 16:52:48 2026 relations with 3 large ideals: 2282498
  358. Fri Oct 30 16:52:48 2026 relations with 4 large ideals: 8010921
  359. Fri Oct 30 16:52:48 2026 relations with 5 large ideals: 16672096
  360. Fri Oct 30 16:52:48 2026 relations with 6 large ideals: 21600190
  361. Fri Oct 30 16:52:48 2026 relations with 7+ large ideals: 29358626
  362. Fri Oct 30 16:52:48 2026 commencing 2-way merge
  363. Fri Oct 30 16:53:21 2026 reduce to 47882588 relation sets and 46148985 unique ideals
  364. Fri Oct 30 16:53:21 2026 commencing full merge
  365. Fri Oct 30 17:04:31 2026 memory use: 5822.6 MB
  366. Fri Oct 30 17:04:32 2026 found 22176249 cycles, need 21975185
  367. Fri Oct 30 17:04:34 2026 weight of 21975185 cycles is about 2417330733 (110.00/cycle)
  368. Fri Oct 30 17:04:34 2026 distribution of cycle lengths:
  369. Fri Oct 30 17:04:34 2026 1 relations: 1844118
  370. Fri Oct 30 17:04:34 2026 2 relations: 1712596
  371. Fri Oct 30 17:04:34 2026 3 relations: 1755123
  372. Fri Oct 30 17:04:34 2026 4 relations: 1720807
  373. Fri Oct 30 17:04:34 2026 5 relations: 1713363
  374. Fri Oct 30 17:04:34 2026 6 relations: 1661524
  375. Fri Oct 30 17:04:34 2026 7 relations: 1616109
  376. Fri Oct 30 17:04:34 2026 8 relations: 1518782
  377. Fri Oct 30 17:04:34 2026 9 relations: 1394766
  378. Fri Oct 30 17:04:34 2026 10+ relations: 7037997
  379. Fri Oct 30 17:04:34 2026 heaviest cycle: 26 relations
  380. Fri Oct 30 17:04:35 2026 commencing cycle optimization
  381. Fri Oct 30 17:05:02 2026 start with 166860946 relations
  382. Fri Oct 30 17:08:25 2026 pruned 5828985 relations
  383. Fri Oct 30 17:08:25 2026 memory use: 5148.0 MB
  384. Fri Oct 30 17:08:25 2026 distribution of cycle lengths:
  385. Fri Oct 30 17:08:25 2026 1 relations: 1844118
  386. Fri Oct 30 17:08:25 2026 2 relations: 1754097
  387. Fri Oct 30 17:08:25 2026 3 relations: 1820454
  388. Fri Oct 30 17:08:25 2026 4 relations: 1778702
  389. Fri Oct 30 17:08:25 2026 5 relations: 1780197
  390. Fri Oct 30 17:08:25 2026 6 relations: 1722719
  391. Fri Oct 30 17:08:25 2026 7 relations: 1677460
  392. Fri Oct 30 17:08:25 2026 8 relations: 1566428
  393. Fri Oct 30 17:08:25 2026 9 relations: 1434821
  394. Fri Oct 30 17:08:25 2026 10+ relations: 6596189
  395. Fri Oct 30 17:08:25 2026 heaviest cycle: 26 relations
  396. Fri Oct 30 17:08:47 2026 trying target density 130
  397. Fri Oct 30 17:08:48 2026 relations with 0 large ideals: 5513
  398. Fri Oct 30 17:08:48 2026 relations with 1 large ideals: 22405
  399. Fri Oct 30 17:08:48 2026 relations with 2 large ideals: 348163
  400. Fri Oct 30 17:08:48 2026 relations with 3 large ideals: 2282498
  401. Fri Oct 30 17:08:48 2026 relations with 4 large ideals: 8010921
  402. Fri Oct 30 17:08:48 2026 relations with 5 large ideals: 16672096
  403. Fri Oct 30 17:08:48 2026 relations with 6 large ideals: 21600190
  404. Fri Oct 30 17:08:48 2026 relations with 7+ large ideals: 29358626
  405. Fri Oct 30 17:08:48 2026 commencing 2-way merge
  406. Fri Oct 30 17:09:21 2026 reduce to 47882588 relation sets and 46148985 unique ideals
  407. Fri Oct 30 17:09:21 2026 commencing full merge
  408. Fri Oct 30 17:22:27 2026 memory use: 5938.4 MB
  409. Fri Oct 30 17:22:27 2026 found 20886617 cycles, need 20813185
  410. Fri Oct 30 17:22:27 2026 weight of 20813185 cycles is about 2706206700 (130.02/cycle)
  411. Fri Oct 30 17:22:27 2026 distribution of cycle lengths:
  412. Fri Oct 30 17:22:27 2026 1 relations: 1389150
  413. Fri Oct 30 17:22:27 2026 2 relations: 1367303
  414. Fri Oct 30 17:22:27 2026 3 relations: 1407435
  415. Fri Oct 30 17:22:27 2026 4 relations: 1384795
  416. Fri Oct 30 17:22:27 2026 5 relations: 1402524
  417. Fri Oct 30 17:22:27 2026 6 relations: 1367143
  418. Fri Oct 30 17:22:27 2026 7 relations: 1363545
  419. Fri Oct 30 17:22:27 2026 8 relations: 1305699
  420. Fri Oct 30 17:22:27 2026 9 relations: 1255061
  421. Fri Oct 30 17:22:27 2026 10+ relations: 8570530
  422. Fri Oct 30 17:22:27 2026 heaviest cycle: 28 relations
  423. Fri Oct 30 17:22:27 2026 commencing cycle optimization
  424. Fri Oct 30 17:22:56 2026 start with 186066316 relations
  425. Fri Oct 30 17:27:40 2026 pruned 7707826 relations
  426. Fri Oct 30 17:27:40 2026 memory use: 5341.6 MB
  427. Fri Oct 30 17:27:40 2026 distribution of cycle lengths:
  428. Fri Oct 30 17:27:40 2026 1 relations: 1389150
  429. Fri Oct 30 17:27:40 2026 2 relations: 1400847
  430. Fri Oct 30 17:27:40 2026 3 relations: 1461291
  431. Fri Oct 30 17:27:40 2026 4 relations: 1435643
  432. Fri Oct 30 17:27:40 2026 5 relations: 1462477
  433. Fri Oct 30 17:27:40 2026 6 relations: 1426149
  434. Fri Oct 30 17:27:40 2026 7 relations: 1423891
  435. Fri Oct 30 17:27:40 2026 8 relations: 1362396
  436. Fri Oct 30 17:27:40 2026 9 relations: 1307990
  437. Fri Oct 30 17:27:40 2026 10+ relations: 8143351
  438. Fri Oct 30 17:27:40 2026 heaviest cycle: 28 relations
  439. Fri Oct 30 17:28:02 2026 RelProcTime: 6066
  440. Fri Oct 30 17:28:02 2026
  441. Fri Oct 30 17:28:02 2026 commencing linear algebra
  442. Fri Oct 30 17:28:02 2026 using VBITS=128
  443. Fri Oct 30 17:28:02 2026 building matrices for all densities
  444. Fri Oct 30 17:28:02 2026 found 3 density files
  445. Fri Oct 30 17:28:02 2026 building matrix for density 90
  446. Fri Oct 30 17:28:03 2026 read 23581185 cycles
  447. Fri Oct 30 17:28:27 2026 cycles contain 77266877 unique relations
  448. Fri Oct 30 17:29:30 2026 read 77266877 relations
  449. Fri Oct 30 17:29:46 2026 using 20 quadratic characters above 4294917295
  450. Fri Oct 30 17:30:04 2026 building initial matrix
  451. Fri Oct 30 17:31:53 2026 memory use: 10749.5 MB
  452. Fri Oct 30 17:32:05 2026 read 23581185 cycles
  453. Fri Oct 30 17:32:08 2026 matrix is 23581006 x 23581185 (8844.3 MB) with weight 2699763745 (114.49/col)
  454. Fri Oct 30 17:32:08 2026 sparse part has weight 2035509547 (86.32/col)
  455. Fri Oct 30 17:33:13 2026 filtering completed in 2 passes
  456. Fri Oct 30 17:33:18 2026 matrix is 23575847 x 23576026 (8843.9 MB) with weight 2699574881 (114.51/col)
  457. Fri Oct 30 17:33:18 2026 sparse part has weight 2035464185 (86.34/col)
  458. Fri Oct 30 17:36:02 2026 building matrix for density 110
  459. Fri Oct 30 17:36:04 2026 read 21975185 cycles
  460. Fri Oct 30 17:36:28 2026 cycles contain 77282519 unique relations
  461. Fri Oct 30 17:39:06 2026 read 77282519 relations
  462. Fri Oct 30 17:39:23 2026 using 20 quadratic characters above 4294917295
  463. Fri Oct 30 17:39:41 2026 building initial matrix
  464. Fri Oct 30 17:41:52 2026 memory use: 10771.3 MB
  465. Fri Oct 30 17:42:01 2026 read 21975185 cycles
  466. Fri Oct 30 17:42:04 2026 matrix is 21975006 x 21975185 (9715.2 MB) with weight 2940853900 (133.83/col)
  467. Fri Oct 30 17:42:04 2026 sparse part has weight 2283076207 (103.89/col)
  468. Fri Oct 30 17:43:14 2026 filtering completed in 2 passes
  469. Fri Oct 30 17:43:19 2026 matrix is 21972690 x 21972868 (9715.0 MB) with weight 2940755487 (133.84/col)
  470. Fri Oct 30 17:43:19 2026 sparse part has weight 2283049148 (103.90/col)
  471. Fri Oct 30 17:46:24 2026 building matrix for density 130
  472. Fri Oct 30 17:46:22 2026 read 20813185 cycles
  473. Fri Oct 30 17:46:52 2026 cycles contain 77280283 unique relations
  474. Fri Oct 30 17:53:31 2026 read 77280283 relations
  475. Fri Oct 30 17:53:48 2026 using 20 quadratic characters above 4294917295
  476. Fri Oct 30 17:54:09 2026 building initial matrix
  477. Fri Oct 30 17:56:29 2026 memory use: 10801.8 MB
  478. Fri Oct 30 17:56:45 2026 read 20813185 cycles
  479. Fri Oct 30 17:56:48 2026 matrix is 20813007 x 20813185 (10572.1 MB) with weight 3175841442 (152.59/col)
  480. Fri Oct 30 17:56:48 2026 sparse part has weight 2521642773 (121.16/col)
  481. Fri Oct 30 17:57:50 2026 filtering completed in 2 passes
  482. Fri Oct 30 17:57:55 2026 matrix is 20812450 x 20812628 (10572.0 MB) with weight 3175816807 (152.59/col)
  483. Fri Oct 30 17:57:55 2026 sparse part has weight 2521636551 (121.16/col)
  484. Fri Oct 30 18:00:55 2026 BLanczosTime: 1973
  485. Fri Oct 30 18:00:55 2026 elapsed time 02:14:00
  486. Fri Oct 30 23:52:54 2026
  487. Fri Oct 30 23:52:54 2026
  488. Fri Oct 30 23:52:54 2026 Msieve v. 1.54 (SVN unknown)
  489. Fri Oct 30 23:52:54 2026 random seeds: a1a341a3 e2aaa785
  490. Fri Oct 30 23:52:54 2026 Using 8 OpenMP threads
  491. Fri Oct 30 23:52:54 2026 factoring 1025196909926931908514215396247966845361015381263216464774365902370437851728945453299050904830303730747479922547559680951786393391348939224872986196722663574338909988637797116135119503941 (187 digits)
  492. Fri Oct 30 23:52:54 2026 no P-1/P+1/ECM available, skipping
  493. Fri Oct 30 23:52:54 2026 commencing number field sieve (187-digit input)
  494. Fri Oct 30 23:52:54 2026 R0: -1197807599717721788685127711433701863
  495. Fri Oct 30 23:52:54 2026 R1: 91707821644789669203193
  496. Fri Oct 30 23:52:54 2026 A0: -52865794583302575736130133852725300429855408
  497. Fri Oct 30 23:52:54 2026 A1: -4260478459459643810594946116376168880
  498. Fri Oct 30 23:52:54 2026 A2: -105322072979547293572541151786
  499. Fri Oct 30 23:52:54 2026 A3: 260571698948180912491
  500. Fri Oct 30 23:52:54 2026 A4: -156529371888070
  501. Fri Oct 30 23:52:54 2026 A5: 415800
  502. Fri Oct 30 23:52:54 2026 skew 61789555.60, size 4.447e-18, alpha -7.694, combined = 4.422e-14 rroots = 1
  503. Fri Oct 30 23:52:54 2026
  504. Fri Oct 30 23:52:54 2026 commencing linear algebra
  505. Fri Oct 30 23:52:54 2026 using VBITS=128
  506. Fri Oct 30 23:52:54 2026 selecting density 110 for linear algebra
  507. Fri Oct 30 23:53:29 2026 matrix starts at (0, 0)
  508. Fri Oct 30 23:53:31 2026 matrix is 21972690 x 21972868 (9715.0 MB) with weight 2940755487 (133.84/col)
  509. Fri Oct 30 23:53:31 2026 sparse part has weight 2283049148 (103.90/col)
  510. Fri Oct 30 23:53:31 2026 saving the first 112 matrix rows for later
  511. Fri Oct 30 23:53:34 2026 matrix includes 128 packed rows
  512. Fri Oct 30 23:53:40 2026 matrix is 21972578 x 21972868 (8981.4 MB) with weight 2251331624 (102.46/col)
  513. Fri Oct 30 23:53:40 2026 sparse part has weight 2090757746 (95.15/col)
  514. Fri Oct 30 23:53:41 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  515. Fri Oct 30 23:53:41 2026 selected card has CUDA arch 12.0
  516. Fri Oct 30 23:53:43 2026 storing a single copy of the matrix (no transpose) on the GPU
  517. Fri Oct 30 23:53:43 2026 computed block_nnz 99773884 (L2 cache 50331648 bytes, average column weight 95.2)
  518. Fri Oct 30 23:53:43 2026 nonzeros per matrix block: 99773884
  519. Fri Oct 30 23:53:43 2026 SpMV kernel: auto (by nonzeros per row)
  520. Fri Oct 30 23:53:43 2026 SpMV kernel auto: segscan for 21 of 21 blocks (below 28 nonzeros per row), warpmerge for 0
  521. Fri Oct 30 23:53:43 2026 GPU memory: 11015 MB free, 2347 MB for vectors, 8333 MB for sparse matrix blocks (9778 MB needed)
  522. Fri Oct 30 23:53:43 2026 leaving 1536 MB of GPU memory free while streaming (use max_gpu_mem=N to change)
  523. Fri Oct 30 23:55:31 2026 streaming 9 of 21 matrix blocks (4180 MB) from pinned host memory through 2 464 MB buffers
  524. Fri Oct 30 23:55:31 2026 commencing Lanczos iteration
  525. Fri Oct 30 23:55:35 2026 memory use: 9167.1 MB
  526. Fri Oct 30 23:56:23 2026 linear algebra at 0.1%, ETA 8h58m
  527. Fri Oct 30 23:56:34 2026 checking every 40000 dimensions, checkpointing every 2480000 dimensions
  528. Sat Oct 31 08:29:20 2026 lanczos halted after 172693 iterations (dim = 21972577)
  529. Sat Oct 31 08:29:49 2026 recovered 31 nontrivial dependencies
  530. Sat Oct 31 08:29:49 2026 matrix transfers: 6501.966 MiB/iteration, 14.00 copies/iteration (172691 measured iterations)
  531. Sat Oct 31 08:29:51 2026 BLanczosTime: 31017
  532. Sat Oct 31 08:29:51 2026
  533. Sat Oct 31 08:29:51 2026 commencing square root phase
  534. Sat Oct 31 08:29:51 2026 handling dependencies 1 to 64
  535. Sat Oct 31 08:29:51 2026 reading relations for dependency 1
  536. Sat Oct 31 08:29:58 2026 read 10988375 cycles
  537. Sat Oct 31 08:30:22 2026 cycles contain 38642014 unique relations
  538. Sat Oct 31 08:33:52 2026 read 38642014 relations
  539. Sat Oct 31 08:36:16 2026 multiplying 38642014 relations
  540. Sat Oct 31 08:42:11 2026 multiply complete, coefficients have about 2292.74 million bits
  541. Sat Oct 31 08:42:18 2026 initial square root is modulo 138793
  542. Sat Oct 31 08:54:46 2026 sqrtTime: 1495
  543. Sat Oct 31 08:54:46 2026 p78 factor: 725009178487440426317493984219378895784758910502765855387205278572965421790653
  544. Sat Oct 31 08:54:46 2026 p109 factor: 1414046801539481108112154017721120792443894721760277838280607818352147359502482449579967661958428881994560297
  545. Sat Oct 31 08:54:46 2026 elapsed time 09:01:52
  546.  
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