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Sep 17th, 2024
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  1. Fri Jul 12 00:18:15 2024 Using 32 OpenMP threads
  2. Fri Jul 12 00:18:15 2024 factoring 4127887645864126822071635802971653172699729834737766961250301759376061206705819839204900337759320592497625505476456649642861440030463227841104415713906662253458804507118209 (172 digits)
  3. Fri Jul 12 00:18:16 2024 searching for 15-digit factors
  4. Fri Jul 12 00:18:16 2024 commencing number field sieve (172-digit input)
  5. Fri Jul 12 00:18:16 2024 R0: -3342093192477394992746077396647679
  6. Fri Jul 12 00:18:16 2024 R1: 695386372952878451
  7. Fri Jul 12 00:18:16 2024 A0: -316479005093140640565903276836480994965760
  8. Fri Jul 12 00:18:16 2024 A1: 16271204983699831778655136747350696
  9. Fri Jul 12 00:18:16 2024 A2: 19256650129302270576668111903
  10. Fri Jul 12 00:18:16 2024 A3: 424771816876502497366
  11. Fri Jul 12 00:18:16 2024 A4: -11564460979902
  12. Fri Jul 12 00:18:16 2024 A5: 9900
  13. Fri Jul 12 00:18:16 2024 skew 40486995.20, size 8.817e-17, alpha -7.142, combined = 2.620e-13 rroots = 5
  14. Fri Jul 12 00:18:16 2024
  15. Fri Jul 12 00:18:16 2024 commencing relation filtering
  16. Fri Jul 12 00:18:16 2024 setting target matrix density to 130.0
  17. Fri Jul 12 00:18:16 2024 estimated available RAM is 257736.5 MB
  18. Fri Jul 12 00:18:16 2024 commencing duplicate removal, pass 1
  19. Fri Jul 12 00:19:19 2024 error -1 reading relation 21591257
  20. Fri Jul 12 00:19:51 2024 error -1 reading relation 41303048
  21. Fri Jul 12 00:19:52 2024 error -1 reading relation 41431773
  22. Fri Jul 12 00:20:12 2024 error -1 reading relation 51105345
  23. Fri Jul 12 00:20:12 2024 error -1 reading relation 51108803
  24. Fri Jul 12 00:20:16 2024 error -1 reading relation 52917421
  25. Fri Jul 12 00:20:24 2024 error -1 reading relation 57552078
  26. Fri Jul 12 00:20:28 2024 error -1 reading relation 59269104
  27. Fri Jul 12 00:20:38 2024 error -15 reading relation 64497950
  28. Fri Jul 12 00:20:39 2024 error -1 reading relation 65499902
  29. Fri Jul 12 00:21:04 2024 error -1 reading relation 79301257
  30. Fri Jul 12 00:21:12 2024 error -1 reading relation 83030554
  31. Fri Jul 12 00:21:27 2024 error -1 reading relation 88447050
  32. Fri Jul 12 00:22:00 2024 error -1 reading relation 98996153
  33. Fri Jul 12 00:22:00 2024 error -1 reading relation 99007231
  34. Fri Jul 12 00:22:00 2024 error -1 reading relation 99061088
  35. Fri Jul 12 00:22:05 2024 error -1 reading relation 100783340
  36. Fri Jul 12 00:22:05 2024 error -1 reading relation 100864472
  37. Fri Jul 12 00:22:11 2024 error -1 reading relation 102678101
  38. Fri Jul 12 00:22:23 2024 error -1 reading relation 106724890
  39. Fri Jul 12 00:22:39 2024 error -1 reading relation 111663250
  40. Fri Jul 12 00:22:40 2024 error -1 reading relation 111899662
  41. Fri Jul 12 00:23:25 2024 error -1 reading relation 127193739
  42. Fri Jul 12 00:23:29 2024 error -1 reading relation 129232194
  43. Fri Jul 12 00:23:36 2024 error -1 reading relation 133900604
  44. Fri Jul 12 00:23:39 2024 error -1 reading relation 136147311
  45. Fri Jul 12 00:23:57 2024 error -1 reading relation 148329365
  46. Fri Jul 12 00:23:59 2024 error -1 reading relation 149380673
  47. Fri Jul 12 00:24:20 2024 error -1 reading relation 160285819
  48. Fri Jul 12 00:24:30 2024 error -1 reading relation 166052243
  49. Fri Jul 12 00:24:31 2024 error -1 reading relation 166639444
  50. Fri Jul 12 00:24:38 2024 error -1 reading relation 168838959
  51. Fri Jul 12 00:24:40 2024 error -1 reading relation 170557723
  52. Fri Jul 12 00:24:42 2024 error -1 reading relation 171999212
  53. Fri Jul 12 00:24:44 2024 skipped 242 malformed relations
  54. Fri Jul 12 00:24:44 2024 found 42878096 hash collisions in 172880602 relations
  55. Fri Jul 12 00:25:10 2024 added 121730 free relations
  56. Fri Jul 12 00:25:10 2024 commencing duplicate removal, pass 2
  57. Fri Jul 12 00:29:13 2024 found 49071592 duplicates and 123930740 unique relations
  58. Fri Jul 12 00:29:13 2024 memory use: 1321.5 MB
  59. Fri Jul 12 00:29:13 2024 reading ideals above 720000
  60. Fri Jul 12 00:29:13 2024 commencing singleton removal, initial pass
  61. Fri Jul 12 00:36:25 2024 memory use: 2756.0 MB
  62. Fri Jul 12 00:36:25 2024 reading all ideals from disk
  63. Fri Jul 12 00:36:28 2024 memory use: 5844.4 MB
  64. Fri Jul 12 00:36:40 2024 keeping 97726130 ideals with weight <= 200, target excess is 668270
  65. Fri Jul 12 00:36:55 2024 commencing in-memory singleton removal
  66. Fri Jul 12 00:36:57 2024 begin with 123930740 relations and 97726130 unique ideals
  67. Fri Jul 12 00:37:04 2024 reduce to 100536842 relations and 72968387 ideals in 10 passes
  68. Fri Jul 12 00:37:04 2024 max relations containing the same ideal: 182
  69. Fri Jul 12 00:37:38 2024 removing 7138419 relations and 5138419 ideals in 2000000 cliques
  70. Fri Jul 12 00:37:42 2024 commencing in-memory singleton removal
  71. Fri Jul 12 00:37:43 2024 begin with 93398423 relations and 72968387 unique ideals
  72. Fri Jul 12 00:37:48 2024 reduce to 92966356 relations and 67387042 ideals in 7 passes
  73. Fri Jul 12 00:37:48 2024 max relations containing the same ideal: 176
  74. Fri Jul 12 00:38:37 2024 removing 5816247 relations and 3816247 ideals in 2000000 cliques
  75. Fri Jul 12 00:38:42 2024 commencing in-memory singleton removal
  76. Fri Jul 12 00:38:45 2024 begin with 87150109 relations and 67387042 unique ideals
  77. Fri Jul 12 00:38:52 2024 reduce to 86857545 relations and 63271855 ideals in 6 passes
  78. Fri Jul 12 00:38:52 2024 max relations containing the same ideal: 168
  79. Fri Jul 12 00:39:18 2024 removing 5476626 relations and 3476626 ideals in 2000000 cliques
  80. Fri Jul 12 00:39:21 2024 commencing in-memory singleton removal
  81. Fri Jul 12 00:39:23 2024 begin with 81380919 relations and 63271855 unique ideals
  82. Fri Jul 12 00:39:27 2024 reduce to 81125755 relations and 59534451 ideals in 6 passes
  83. Fri Jul 12 00:39:27 2024 max relations containing the same ideal: 159
  84. Fri Jul 12 00:39:51 2024 removing 5304518 relations and 3304518 ideals in 2000000 cliques
  85. Fri Jul 12 00:39:54 2024 commencing in-memory singleton removal
  86. Fri Jul 12 00:39:55 2024 begin with 75821237 relations and 59534451 unique ideals
  87. Fri Jul 12 00:39:57 2024 reduce to 75580404 relations and 55983739 ideals in 6 passes
  88. Fri Jul 12 00:39:57 2024 max relations containing the same ideal: 153
  89. Fri Jul 12 00:40:30 2024 removing 5201248 relations and 3201248 ideals in 2000000 cliques
  90. Fri Jul 12 00:40:34 2024 commencing in-memory singleton removal
  91. Fri Jul 12 00:40:37 2024 begin with 70379156 relations and 55983739 unique ideals
  92. Fri Jul 12 00:40:43 2024 reduce to 70139837 relations and 52537669 ideals in 7 passes
  93. Fri Jul 12 00:40:43 2024 max relations containing the same ideal: 145
  94. Fri Jul 12 00:41:07 2024 removing 5135526 relations and 3135526 ideals in 2000000 cliques
  95. Fri Jul 12 00:41:09 2024 commencing in-memory singleton removal
  96. Fri Jul 12 00:41:10 2024 begin with 65004311 relations and 52537669 unique ideals
  97. Fri Jul 12 00:41:14 2024 reduce to 64760423 relations and 49152327 ideals in 6 passes
  98. Fri Jul 12 00:41:14 2024 max relations containing the same ideal: 141
  99. Fri Jul 12 00:41:36 2024 removing 5100561 relations and 3100561 ideals in 2000000 cliques
  100. Fri Jul 12 00:41:40 2024 commencing in-memory singleton removal
  101. Fri Jul 12 00:41:41 2024 begin with 59659862 relations and 49152327 unique ideals
  102. Fri Jul 12 00:41:43 2024 reduce to 59402872 relations and 45788075 ideals in 5 passes
  103. Fri Jul 12 00:41:43 2024 max relations containing the same ideal: 130
  104. Fri Jul 12 00:42:04 2024 removing 5084668 relations and 3084668 ideals in 2000000 cliques
  105. Fri Jul 12 00:42:07 2024 commencing in-memory singleton removal
  106. Fri Jul 12 00:42:07 2024 begin with 54318204 relations and 45788075 unique ideals
  107. Fri Jul 12 00:42:09 2024 reduce to 54042554 relations and 42419872 ideals in 6 passes
  108. Fri Jul 12 00:42:09 2024 max relations containing the same ideal: 122
  109. Fri Jul 12 00:42:25 2024 removing 5091719 relations and 3091719 ideals in 2000000 cliques
  110. Fri Jul 12 00:42:27 2024 commencing in-memory singleton removal
  111. Fri Jul 12 00:42:27 2024 begin with 48950835 relations and 42419872 unique ideals
  112. Fri Jul 12 00:42:29 2024 reduce to 48646670 relations and 39014533 ideals in 6 passes
  113. Fri Jul 12 00:42:29 2024 max relations containing the same ideal: 113
  114. Fri Jul 12 00:42:46 2024 removing 5118670 relations and 3118670 ideals in 2000000 cliques
  115. Fri Jul 12 00:42:49 2024 commencing in-memory singleton removal
  116. Fri Jul 12 00:42:50 2024 begin with 43528000 relations and 39014533 unique ideals
  117. Fri Jul 12 00:42:52 2024 reduce to 43184155 relations and 35540519 ideals in 7 passes
  118. Fri Jul 12 00:42:52 2024 max relations containing the same ideal: 108
  119. Fri Jul 12 00:43:05 2024 removing 5171084 relations and 3171084 ideals in 2000000 cliques
  120. Fri Jul 12 00:43:07 2024 commencing in-memory singleton removal
  121. Fri Jul 12 00:43:08 2024 begin with 38013071 relations and 35540519 unique ideals
  122. Fri Jul 12 00:43:09 2024 reduce to 37611468 relations and 31952692 ideals in 7 passes
  123. Fri Jul 12 00:43:09 2024 max relations containing the same ideal: 98
  124. Fri Jul 12 00:43:29 2024 removing 5252062 relations and 3252062 ideals in 2000000 cliques
  125. Fri Jul 12 00:43:32 2024 commencing in-memory singleton removal
  126. Fri Jul 12 00:43:33 2024 begin with 32359406 relations and 31952692 unique ideals
  127. Fri Jul 12 00:43:36 2024 reduce to 31875559 relations and 28195446 ideals in 8 passes
  128. Fri Jul 12 00:43:36 2024 max relations containing the same ideal: 85
  129. Fri Jul 12 00:44:00 2024 removing 5368517 relations and 3368517 ideals in 2000000 cliques
  130. Fri Jul 12 00:44:02 2024 commencing in-memory singleton removal
  131. Fri Jul 12 00:44:02 2024 begin with 26507042 relations and 28195446 unique ideals
  132. Fri Jul 12 00:44:04 2024 reduce to 25891135 relations and 24179463 ideals in 8 passes
  133. Fri Jul 12 00:44:04 2024 max relations containing the same ideal: 77
  134. Fri Jul 12 00:44:12 2024 removing 2945177 relations and 2008699 ideals in 936478 cliques
  135. Fri Jul 12 00:44:13 2024 commencing in-memory singleton removal
  136. Fri Jul 12 00:44:14 2024 begin with 22945958 relations and 24179463 unique ideals
  137. Fri Jul 12 00:44:14 2024 reduce to 22660531 relations and 21876030 ideals in 7 passes
  138. Fri Jul 12 00:44:14 2024 max relations containing the same ideal: 71
  139. Fri Jul 12 00:44:23 2024 removing 58148 relations and 48841 ideals in 9307 cliques
  140. Fri Jul 12 00:44:23 2024 commencing in-memory singleton removal
  141. Fri Jul 12 00:44:24 2024 begin with 22602383 relations and 21876030 unique ideals
  142. Fri Jul 12 00:44:26 2024 reduce to 22602272 relations and 21827077 ideals in 6 passes
  143. Fri Jul 12 00:44:26 2024 max relations containing the same ideal: 71
  144. Fri Jul 12 00:44:30 2024 relations with 0 large ideals: 2276
  145. Fri Jul 12 00:44:30 2024 relations with 1 large ideals: 10633
  146. Fri Jul 12 00:44:30 2024 relations with 2 large ideals: 145484
  147. Fri Jul 12 00:44:30 2024 relations with 3 large ideals: 866042
  148. Fri Jul 12 00:44:30 2024 relations with 4 large ideals: 2742041
  149. Fri Jul 12 00:44:30 2024 relations with 5 large ideals: 5164783
  150. Fri Jul 12 00:44:30 2024 relations with 6 large ideals: 6118514
  151. Fri Jul 12 00:44:30 2024 relations with 7+ large ideals: 7552499
  152. Fri Jul 12 00:44:30 2024 commencing 2-way merge
  153. Fri Jul 12 00:44:53 2024 reduce to 15613549 relation sets and 14838354 unique ideals
  154. Fri Jul 12 00:44:53 2024 commencing full merge
  155. Fri Jul 12 00:51:27 2024 memory use: 1889.8 MB
  156. Fri Jul 12 00:51:30 2024 found 6909045 cycles, need 6856554
  157. Fri Jul 12 00:51:33 2024 weight of 6856554 cycles is about 891536906 (130.03/cycle)
  158. Fri Jul 12 00:51:33 2024 distribution of cycle lengths:
  159. Fri Jul 12 00:51:33 2024 1 relations: 198095
  160. Fri Jul 12 00:51:33 2024 2 relations: 354938
  161. Fri Jul 12 00:51:33 2024 3 relations: 452410
  162. Fri Jul 12 00:51:33 2024 4 relations: 488870
  163. Fri Jul 12 00:51:33 2024 5 relations: 525158
  164. Fri Jul 12 00:51:33 2024 6 relations: 532978
  165. Fri Jul 12 00:51:33 2024 7 relations: 526344
  166. Fri Jul 12 00:51:33 2024 8 relations: 508366
  167. Fri Jul 12 00:51:33 2024 9 relations: 477055
  168. Fri Jul 12 00:51:33 2024 10+ relations: 2792340
  169. Fri Jul 12 00:51:33 2024 heaviest cycle: 28 relations
  170. Fri Jul 12 00:51:34 2024 commencing cycle optimization
  171. Fri Jul 12 00:51:46 2024 start with 61747297 relations
  172. Fri Jul 12 00:54:30 2024 pruned 3544388 relations
  173. Fri Jul 12 00:54:31 2024 memory use: 1570.3 MB
  174. Fri Jul 12 00:54:31 2024 distribution of cycle lengths:
  175. Fri Jul 12 00:54:31 2024 1 relations: 198095
  176. Fri Jul 12 00:54:31 2024 2 relations: 366526
  177. Fri Jul 12 00:54:31 2024 3 relations: 476311
  178. Fri Jul 12 00:54:31 2024 4 relations: 516156
  179. Fri Jul 12 00:54:31 2024 5 relations: 560136
  180. Fri Jul 12 00:54:31 2024 6 relations: 568950
  181. Fri Jul 12 00:54:31 2024 7 relations: 564140
  182. Fri Jul 12 00:54:31 2024 8 relations: 541741
  183. Fri Jul 12 00:54:31 2024 9 relations: 506814
  184. Fri Jul 12 00:54:31 2024 10+ relations: 2557685
  185. Fri Jul 12 00:54:31 2024 heaviest cycle: 28 relations
  186. Fri Jul 12 00:54:39 2024 RelProcTime: 2183
  187. Fri Jul 12 00:54:39 2024 elapsed time 00:36:24
  188. Fri Jul 12 00:54:53 2024
  189. Fri Jul 12 00:54:53 2024
  190. Fri Jul 12 00:54:53 2024 Msieve v. 1.54 (SVN Unversioned directory)
  191. Fri Jul 12 00:54:53 2024 random seeds: e866da52 5add0b15
  192. Fri Jul 12 00:54:53 2024 MPI process 0 of 1
  193. Fri Jul 12 00:54:53 2024 Using 32 OpenMP threads
  194. Fri Jul 12 00:54:53 2024 factoring 4127887645864126822071635802971653172699729834737766961250301759376061206705819839204900337759320592497625505476456649642861440030463227841104415713906662253458804507118209 (172 digits)
  195. Fri Jul 12 00:54:54 2024 searching for 15-digit factors
  196. Fri Jul 12 00:54:54 2024 commencing number field sieve (172-digit input)
  197. Fri Jul 12 00:54:54 2024 R0: -3342093192477394992746077396647679
  198. Fri Jul 12 00:54:54 2024 R1: 695386372952878451
  199. Fri Jul 12 00:54:54 2024 A0: -316479005093140640565903276836480994965760
  200. Fri Jul 12 00:54:54 2024 A1: 16271204983699831778655136747350696
  201. Fri Jul 12 00:54:54 2024 A2: 19256650129302270576668111903
  202. Fri Jul 12 00:54:54 2024 A3: 424771816876502497366
  203. Fri Jul 12 00:54:54 2024 A4: -11564460979902
  204. Fri Jul 12 00:54:54 2024 A5: 9900
  205. Fri Jul 12 00:54:54 2024 skew 40486995.20, size 8.817e-17, alpha -7.142, combined = 2.620e-13 rroots = 5
  206. Fri Jul 12 00:54:54 2024
  207. Fri Jul 12 00:54:54 2024 commencing relation filtering
  208. Fri Jul 12 00:54:54 2024 setting target matrix density to 140.0
  209. Fri Jul 12 00:54:54 2024 estimated available RAM is 257736.5 MB
  210. Fri Jul 12 00:54:54 2024 commencing duplicate removal, pass 1
  211. Fri Jul 12 00:56:00 2024 error -1 reading relation 21591257
  212. Fri Jul 12 00:56:44 2024 error -1 reading relation 41303048
  213. Fri Jul 12 00:56:44 2024 error -1 reading relation 41431773
  214. Fri Jul 12 00:56:59 2024 error -1 reading relation 51105345
  215. Fri Jul 12 00:56:59 2024 error -1 reading relation 51108803
  216. Fri Jul 12 00:57:02 2024 error -1 reading relation 52917421
  217. Fri Jul 12 00:57:11 2024 error -1 reading relation 57552078
  218. Fri Jul 12 00:57:14 2024 error -1 reading relation 59269104
  219. Fri Jul 12 00:57:25 2024 error -15 reading relation 64497950
  220. Fri Jul 12 00:57:27 2024 error -1 reading relation 65499902
  221. Fri Jul 12 00:58:05 2024 error -1 reading relation 79301257
  222. Fri Jul 12 00:58:10 2024 error -1 reading relation 83030554
  223. Fri Jul 12 00:58:20 2024 error -1 reading relation 88447050
  224. Fri Jul 12 00:58:49 2024 error -1 reading relation 98996153
  225. Fri Jul 12 00:58:49 2024 error -1 reading relation 99007231
  226. Fri Jul 12 00:58:49 2024 error -1 reading relation 99061088
  227. Fri Jul 12 00:58:55 2024 error -1 reading relation 100783340
  228. Fri Jul 12 00:58:55 2024 error -1 reading relation 100864472
  229. Fri Jul 12 00:59:01 2024 error -1 reading relation 102678101
  230. Fri Jul 12 00:59:13 2024 error -1 reading relation 106724890
  231. Fri Jul 12 00:59:28 2024 error -1 reading relation 111663250
  232. Fri Jul 12 00:59:29 2024 error -1 reading relation 111899662
  233. Fri Jul 12 01:00:08 2024 error -1 reading relation 127193739
  234. Fri Jul 12 01:00:11 2024 error -1 reading relation 129232194
  235. Fri Jul 12 01:00:18 2024 error -1 reading relation 133900604
  236. Fri Jul 12 01:00:21 2024 error -1 reading relation 136147311
  237. Fri Jul 12 01:00:43 2024 error -1 reading relation 148329365
  238. Fri Jul 12 01:00:45 2024 error -1 reading relation 149380673
  239. Fri Jul 12 01:01:07 2024 error -1 reading relation 160285819
  240. Fri Jul 12 01:01:22 2024 error -1 reading relation 166052243
  241. Fri Jul 12 01:01:23 2024 error -1 reading relation 166639444
  242. Fri Jul 12 01:01:27 2024 error -1 reading relation 168838959
  243. Fri Jul 12 01:01:30 2024 error -1 reading relation 170557723
  244. Fri Jul 12 01:01:32 2024 error -1 reading relation 171999212
  245. Fri Jul 12 01:01:34 2024 skipped 242 malformed relations
  246. Fri Jul 12 01:01:34 2024 found 42883056 hash collisions in 173002332 relations
  247. Fri Jul 12 01:02:04 2024 commencing duplicate removal, pass 2
  248. Fri Jul 12 01:06:01 2024 found 49071592 duplicates and 123930740 unique relations
  249. Fri Jul 12 01:06:01 2024 memory use: 1321.5 MB
  250. Fri Jul 12 01:06:01 2024 reading ideals above 720000
  251. Fri Jul 12 01:06:02 2024 commencing singleton removal, initial pass
  252. Fri Jul 12 01:16:47 2024 memory use: 2756.0 MB
  253. Fri Jul 12 01:16:47 2024 reading all ideals from disk
  254. Fri Jul 12 01:16:50 2024 memory use: 5844.4 MB
  255. Fri Jul 12 01:17:05 2024 keeping 97726130 ideals with weight <= 200, target excess is 668270
  256. Fri Jul 12 01:17:32 2024 commencing in-memory singleton removal
  257. Fri Jul 12 01:17:35 2024 begin with 123930740 relations and 97726130 unique ideals
  258. Fri Jul 12 01:17:48 2024 reduce to 100536842 relations and 72968387 ideals in 11 passes
  259. Fri Jul 12 01:17:48 2024 max relations containing the same ideal: 182
  260. Fri Jul 12 01:18:21 2024 removing 7138419 relations and 5138419 ideals in 2000000 cliques
  261. Fri Jul 12 01:18:26 2024 commencing in-memory singleton removal
  262. Fri Jul 12 01:18:29 2024 begin with 93398423 relations and 72968387 unique ideals
  263. Fri Jul 12 01:18:33 2024 reduce to 92966356 relations and 67387042 ideals in 6 passes
  264. Fri Jul 12 01:18:33 2024 max relations containing the same ideal: 176
  265. Fri Jul 12 01:19:06 2024 removing 5816247 relations and 3816247 ideals in 2000000 cliques
  266. Fri Jul 12 01:19:10 2024 commencing in-memory singleton removal
  267. Fri Jul 12 01:19:11 2024 begin with 87150109 relations and 67387042 unique ideals
  268. Fri Jul 12 01:19:17 2024 reduce to 86857545 relations and 63271855 ideals in 6 passes
  269. Fri Jul 12 01:19:17 2024 max relations containing the same ideal: 168
  270. Fri Jul 12 01:20:16 2024 removing 5476626 relations and 3476626 ideals in 2000000 cliques
  271. Fri Jul 12 01:20:22 2024 commencing in-memory singleton removal
  272. Fri Jul 12 01:20:25 2024 begin with 81380919 relations and 63271855 unique ideals
  273. Fri Jul 12 01:20:31 2024 reduce to 81125755 relations and 59534451 ideals in 6 passes
  274. Fri Jul 12 01:20:31 2024 max relations containing the same ideal: 159
  275. Fri Jul 12 01:20:56 2024 removing 5304518 relations and 3304518 ideals in 2000000 cliques
  276. Fri Jul 12 01:20:59 2024 commencing in-memory singleton removal
  277. Fri Jul 12 01:21:00 2024 begin with 75821237 relations and 59534451 unique ideals
  278. Fri Jul 12 01:21:04 2024 reduce to 75580404 relations and 55983739 ideals in 6 passes
  279. Fri Jul 12 01:21:04 2024 max relations containing the same ideal: 153
  280. Fri Jul 12 01:21:35 2024 removing 5201248 relations and 3201248 ideals in 2000000 cliques
  281. Fri Jul 12 01:21:39 2024 commencing in-memory singleton removal
  282. Fri Jul 12 01:21:41 2024 begin with 70379156 relations and 55983739 unique ideals
  283. Fri Jul 12 01:21:47 2024 reduce to 70139837 relations and 52537669 ideals in 6 passes
  284. Fri Jul 12 01:21:47 2024 max relations containing the same ideal: 145
  285. Fri Jul 12 01:22:31 2024 removing 5135526 relations and 3135526 ideals in 2000000 cliques
  286. Fri Jul 12 01:22:35 2024 commencing in-memory singleton removal
  287. Fri Jul 12 01:22:37 2024 begin with 65004311 relations and 52537669 unique ideals
  288. Fri Jul 12 01:22:43 2024 reduce to 64760423 relations and 49152327 ideals in 6 passes
  289. Fri Jul 12 01:22:43 2024 max relations containing the same ideal: 141
  290. Fri Jul 12 01:23:13 2024 removing 5100561 relations and 3100561 ideals in 2000000 cliques
  291. Fri Jul 12 01:23:15 2024 commencing in-memory singleton removal
  292. Fri Jul 12 01:23:16 2024 begin with 59659862 relations and 49152327 unique ideals
  293. Fri Jul 12 01:23:18 2024 reduce to 59402872 relations and 45788075 ideals in 6 passes
  294. Fri Jul 12 01:23:18 2024 max relations containing the same ideal: 130
  295. Fri Jul 12 01:23:36 2024 removing 5084668 relations and 3084668 ideals in 2000000 cliques
  296. Fri Jul 12 01:23:39 2024 commencing in-memory singleton removal
  297. Fri Jul 12 01:23:40 2024 begin with 54318204 relations and 45788075 unique ideals
  298. Fri Jul 12 01:23:45 2024 reduce to 54042554 relations and 42419872 ideals in 6 passes
  299. Fri Jul 12 01:23:45 2024 max relations containing the same ideal: 122
  300. Fri Jul 12 01:24:01 2024 removing 5091719 relations and 3091719 ideals in 2000000 cliques
  301. Fri Jul 12 01:24:03 2024 commencing in-memory singleton removal
  302. Fri Jul 12 01:24:04 2024 begin with 48950835 relations and 42419872 unique ideals
  303. Fri Jul 12 01:24:06 2024 reduce to 48646670 relations and 39014533 ideals in 6 passes
  304. Fri Jul 12 01:24:06 2024 max relations containing the same ideal: 113
  305. Fri Jul 12 01:24:21 2024 removing 5118670 relations and 3118670 ideals in 2000000 cliques
  306. Fri Jul 12 01:24:24 2024 commencing in-memory singleton removal
  307. Fri Jul 12 01:24:24 2024 begin with 43528000 relations and 39014533 unique ideals
  308. Fri Jul 12 01:24:28 2024 reduce to 43184155 relations and 35540519 ideals in 7 passes
  309. Fri Jul 12 01:24:28 2024 max relations containing the same ideal: 108
  310. Fri Jul 12 01:24:56 2024 removing 5171084 relations and 3171084 ideals in 2000000 cliques
  311. Fri Jul 12 01:24:59 2024 commencing in-memory singleton removal
  312. Fri Jul 12 01:25:00 2024 begin with 38013071 relations and 35540519 unique ideals
  313. Fri Jul 12 01:25:03 2024 reduce to 37611468 relations and 31952692 ideals in 6 passes
  314. Fri Jul 12 01:25:03 2024 max relations containing the same ideal: 98
  315. Fri Jul 12 01:25:26 2024 removing 5252062 relations and 3252062 ideals in 2000000 cliques
  316. Fri Jul 12 01:25:29 2024 commencing in-memory singleton removal
  317. Fri Jul 12 01:25:30 2024 begin with 32359406 relations and 31952692 unique ideals
  318. Fri Jul 12 01:25:31 2024 reduce to 31875559 relations and 28195446 ideals in 6 passes
  319. Fri Jul 12 01:25:31 2024 max relations containing the same ideal: 85
  320. Fri Jul 12 01:25:42 2024 removing 5368517 relations and 3368517 ideals in 2000000 cliques
  321. Fri Jul 12 01:25:43 2024 commencing in-memory singleton removal
  322. Fri Jul 12 01:25:44 2024 begin with 26507042 relations and 28195446 unique ideals
  323. Fri Jul 12 01:25:45 2024 reduce to 25891135 relations and 24179463 ideals in 8 passes
  324. Fri Jul 12 01:25:45 2024 max relations containing the same ideal: 77
  325. Fri Jul 12 01:25:54 2024 removing 2945177 relations and 2008699 ideals in 936478 cliques
  326. Fri Jul 12 01:25:55 2024 commencing in-memory singleton removal
  327. Fri Jul 12 01:25:56 2024 begin with 22945958 relations and 24179463 unique ideals
  328. Fri Jul 12 01:25:57 2024 reduce to 22660531 relations and 21876030 ideals in 7 passes
  329. Fri Jul 12 01:25:57 2024 max relations containing the same ideal: 71
  330. Fri Jul 12 01:26:05 2024 removing 58148 relations and 48841 ideals in 9307 cliques
  331. Fri Jul 12 01:26:06 2024 commencing in-memory singleton removal
  332. Fri Jul 12 01:26:06 2024 begin with 22602383 relations and 21876030 unique ideals
  333. Fri Jul 12 01:26:06 2024 reduce to 22602272 relations and 21827077 ideals in 5 passes
  334. Fri Jul 12 01:26:06 2024 max relations containing the same ideal: 71
  335. Fri Jul 12 01:26:09 2024 relations with 0 large ideals: 2276
  336. Fri Jul 12 01:26:09 2024 relations with 1 large ideals: 10633
  337. Fri Jul 12 01:26:09 2024 relations with 2 large ideals: 145484
  338. Fri Jul 12 01:26:09 2024 relations with 3 large ideals: 866042
  339. Fri Jul 12 01:26:09 2024 relations with 4 large ideals: 2742041
  340. Fri Jul 12 01:26:09 2024 relations with 5 large ideals: 5164783
  341. Fri Jul 12 01:26:09 2024 relations with 6 large ideals: 6118514
  342. Fri Jul 12 01:26:09 2024 relations with 7+ large ideals: 7552499
  343. Fri Jul 12 01:26:09 2024 commencing 2-way merge
  344. Fri Jul 12 01:26:22 2024 reduce to 15613549 relation sets and 14838354 unique ideals
  345. Fri Jul 12 01:26:22 2024 commencing full merge
  346. Fri Jul 12 01:33:51 2024 memory use: 1902.8 MB
  347. Fri Jul 12 01:33:54 2024 found 6732787 cycles, need 6714554
  348. Fri Jul 12 01:33:56 2024 weight of 6714554 cycles is about 940517859 (140.07/cycle)
  349. Fri Jul 12 01:33:56 2024 distribution of cycle lengths:
  350. Fri Jul 12 01:33:56 2024 1 relations: 162495
  351. Fri Jul 12 01:33:56 2024 2 relations: 312331
  352. Fri Jul 12 01:33:56 2024 3 relations: 403137
  353. Fri Jul 12 01:33:56 2024 4 relations: 439905
  354. Fri Jul 12 01:33:56 2024 5 relations: 471653
  355. Fri Jul 12 01:33:56 2024 6 relations: 482560
  356. Fri Jul 12 01:33:56 2024 7 relations: 486936
  357. Fri Jul 12 01:33:56 2024 8 relations: 472124
  358. Fri Jul 12 01:33:56 2024 9 relations: 452786
  359. Fri Jul 12 01:33:56 2024 10+ relations: 3030627
  360. Fri Jul 12 01:33:56 2024 heaviest cycle: 28 relations
  361. Fri Jul 12 01:33:58 2024 commencing cycle optimization
  362. Fri Jul 12 01:34:10 2024 start with 64980150 relations
  363. Fri Jul 12 01:36:54 2024 pruned 3958532 relations
  364. Fri Jul 12 01:36:54 2024 memory use: 1601.3 MB
  365. Fri Jul 12 01:36:54 2024 distribution of cycle lengths:
  366. Fri Jul 12 01:36:54 2024 1 relations: 162495
  367. Fri Jul 12 01:36:54 2024 2 relations: 322542
  368. Fri Jul 12 01:36:54 2024 3 relations: 424394
  369. Fri Jul 12 01:36:54 2024 4 relations: 464496
  370. Fri Jul 12 01:36:54 2024 5 relations: 503572
  371. Fri Jul 12 01:36:54 2024 6 relations: 516609
  372. Fri Jul 12 01:36:54 2024 7 relations: 522969
  373. Fri Jul 12 01:36:54 2024 8 relations: 506998
  374. Fri Jul 12 01:36:54 2024 9 relations: 484298
  375. Fri Jul 12 01:36:54 2024 10+ relations: 2806181
  376. Fri Jul 12 01:36:54 2024 heaviest cycle: 28 relations
  377. Fri Jul 12 01:37:03 2024 RelProcTime: 2529
  378. Fri Jul 12 01:37:03 2024 elapsed time 00:42:10
  379. Fri Jul 12 10:43:08 2024
  380. Fri Jul 12 10:43:08 2024
  381. Fri Jul 12 10:43:08 2024 Msieve v. 1.54 (SVN Unversioned directory)
  382. Fri Jul 12 10:43:08 2024 random seeds: eeb38f77 bfc77b45
  383. Fri Jul 12 10:43:08 2024 MPI process 0 of 1
  384. Fri Jul 12 10:43:08 2024 Using 64 OpenMP threads
  385. Fri Jul 12 10:43:08 2024 factoring 4127887645864126822071635802971653172699729834737766961250301759376061206705819839204900337759320592497625505476456649642861440030463227841104415713906662253458804507118209 (172 digits)
  386. Fri Jul 12 10:43:09 2024 searching for 15-digit factors
  387. Fri Jul 12 10:43:10 2024 commencing number field sieve (172-digit input)
  388. Fri Jul 12 10:43:10 2024 R0: -3342093192477394992746077396647679
  389. Fri Jul 12 10:43:10 2024 R1: 695386372952878451
  390. Fri Jul 12 10:43:10 2024 A0: -316479005093140640565903276836480994965760
  391. Fri Jul 12 10:43:10 2024 A1: 16271204983699831778655136747350696
  392. Fri Jul 12 10:43:10 2024 A2: 19256650129302270576668111903
  393. Fri Jul 12 10:43:10 2024 A3: 424771816876502497366
  394. Fri Jul 12 10:43:10 2024 A4: -11564460979902
  395. Fri Jul 12 10:43:10 2024 A5: 9900
  396. Fri Jul 12 10:43:10 2024 skew 40486995.20, size 8.817e-17, alpha -7.142, combined = 2.620e-13 rroots = 5
  397. Fri Jul 12 10:43:10 2024
  398. Fri Jul 12 10:43:10 2024 commencing linear algebra
  399. Fri Jul 12 10:43:10 2024 using VBITS=256
  400. Fri Jul 12 10:43:10 2024 initialized process (0,0) of 1 x 1 grid
  401. Fri Jul 12 10:43:11 2024 read 6714554 cycles
  402. Fri Jul 12 10:43:35 2024 cycles contain 22250743 unique relations
  403. Fri Jul 12 10:46:30 2024 read 22250743 relations
  404. Fri Jul 12 10:46:32 2024 using 20 quadratic characters above 4294917295
  405. Fri Jul 12 10:46:34 2024 building initial matrix
  406. Fri Jul 12 10:53:29 2024 memory use: 3139.0 MB
  407. Fri Jul 12 10:53:35 2024 read 6714554 cycles
  408. Fri Jul 12 10:53:36 2024 matrix is 6714375 x 6714554 (3566.8 MB) with weight 1079544219 (160.78/col)
  409. Fri Jul 12 10:53:36 2024 sparse part has weight 854433827 (127.25/col)
  410. Fri Jul 12 10:54:54 2024 filtering completed in 2 passes
  411. Fri Jul 12 10:54:56 2024 matrix is 6714316 x 6714494 (3566.8 MB) with weight 1079541129 (160.78/col)
  412. Fri Jul 12 10:54:56 2024 sparse part has weight 854432880 (127.25/col)
  413. Fri Jul 12 10:55:39 2024 matrix starts at (0, 0)
  414. Fri Jul 12 10:55:40 2024 matrix is 6714316 x 6714494 (3566.8 MB) with weight 1079541129 (160.78/col)
  415. Fri Jul 12 10:55:40 2024 sparse part has weight 854432880 (127.25/col)
  416. Fri Jul 12 10:55:40 2024 saving the first 240 matrix rows for later
  417. Fri Jul 12 10:55:42 2024 matrix includes 256 packed rows
  418. Fri Jul 12 10:55:44 2024 matrix is 6714076 x 6714494 (3219.9 MB) with weight 785252488 (116.95/col)
  419. Fri Jul 12 10:55:44 2024 sparse part has weight 736649375 (109.71/col)
  420. Fri Jul 12 10:55:44 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  421. Fri Jul 12 10:56:01 2024 commencing Lanczos iteration (64 threads)
  422. Fri Jul 12 10:56:01 2024 memory use: 4453.1 MB
  423. Fri Jul 12 10:57:08 2024 linear algebra at 0.5%, ETA 3h56m
  424. Fri Jul 12 10:58:38 2024 checking every 20000 dimensions, checkpointing every 1800000 dimensions
  425. Fri Jul 12 14:36:08 2024 lanczos halted after 26307 iterations (dim = 6714072)
  426. Fri Jul 12 14:36:43 2024 recovered 26 nontrivial dependencies
  427. Fri Jul 12 14:36:43 2024 BLanczosTime: 14013
  428. Fri Jul 12 14:36:43 2024
  429. Fri Jul 12 14:36:43 2024 commencing square root phase
  430. Fri Jul 12 14:36:43 2024 reading relations for dependency 1
  431. Fri Jul 12 14:36:44 2024 read 3356926 cycles
  432. Fri Jul 12 14:36:50 2024 cycles contain 11121434 unique relations
  433. Fri Jul 12 14:39:02 2024 read 11121434 relations
  434. Fri Jul 12 14:39:42 2024 multiplying 11121434 relations
  435. Fri Jul 12 14:40:46 2024 multiply complete, coefficients have about 614.16 million bits
  436. Fri Jul 12 14:40:47 2024 initial square root is modulo 323591
  437. Fri Jul 12 14:43:58 2024 sqrtTime: 435
  438. Fri Jul 12 14:43:58 2024 p71 factor: 31297552291222378184291476170647983399918306856400827199817229040438353
  439. Fri Jul 12 14:43:58 2024 p102 factor: 131891708573702818305035330659750434726780499039499154802404213801101172066482163128215940224504053553
  440. Fri Jul 12 14:43:58 2024 elapsed time 04:00:50
  441. Mon Sep 2 00:58:22 2024
  442. Mon Sep 2 00:58:22 2024
  443. Mon Sep 2 00:58:22 2024 Msieve v. 1.54 (SVN Unversioned directory)
  444. Mon Sep 2 00:58:22 2024 random seeds: 53d2e84f 967dcd74
  445. Mon Sep 2 00:58:22 2024 MPI process 0 of 1
  446. Mon Sep 2 00:58:22 2024 Using 16 OpenMP threads
  447. Mon Sep 2 00:58:22 2024 factoring 1281026617892247794229851159928952965271297409069729690990721252389094308324754322237141183918020978541408195275366078635196234647426475725192381178182862973727415849645221 (172 digits)
  448. Mon Sep 2 00:58:23 2024 searching for 15-digit factors
  449. Mon Sep 2 00:58:23 2024 commencing number field sieve (172-digit input)
  450. Mon Sep 2 00:58:23 2024 R0: -977209447985786445132612593461810
  451. Mon Sep 2 00:58:23 2024 R1: 1866090556583733541
  452. Mon Sep 2 00:58:23 2024 A0: -1206824118930903148188917758881053132280789
  453. Mon Sep 2 00:58:23 2024 A1: 734270874421509518456572281042685761
  454. Mon Sep 2 00:58:23 2024 A2: 78486908014742997418116294833
  455. Mon Sep 2 00:58:23 2024 A3: -6328491067305129683261
  456. Mon Sep 2 00:58:23 2024 A4: -121650208873444
  457. Mon Sep 2 00:58:23 2024 A5: 1437540
  458. Mon Sep 2 00:58:23 2024 skew 25052304.10, size 8.644e-17, alpha -8.404, combined = 2.581e-13 rroots = 5
  459. Mon Sep 2 00:58:23 2024
  460. Mon Sep 2 00:58:23 2024 commencing relation filtering
  461. Mon Sep 2 00:58:23 2024 setting target matrix density to 140.0
  462. Mon Sep 2 00:58:23 2024 estimated available RAM is 257736.5 MB
  463. Mon Sep 2 00:58:23 2024 commencing duplicate removal, pass 1
  464. Mon Sep 2 00:58:52 2024 error -1 reading relation 10157534
  465. Mon Sep 2 01:00:19 2024 error -1 reading relation 40100110
  466. Mon Sep 2 01:00:37 2024 error -1 reading relation 45733061
  467. Mon Sep 2 01:00:43 2024 error -1 reading relation 47804066
  468. Mon Sep 2 01:00:44 2024 error -1 reading relation 48279631
  469. Mon Sep 2 01:01:15 2024 error -1 reading relation 58630549
  470. Mon Sep 2 01:01:33 2024 error -1 reading relation 64728394
  471. Mon Sep 2 01:01:37 2024 error -1 reading relation 65990637
  472. Mon Sep 2 01:01:48 2024 error -1 reading relation 69741233
  473. Mon Sep 2 01:02:00 2024 error -1 reading relation 73887237
  474. Mon Sep 2 01:02:12 2024 error -1 reading relation 77983390
  475. Mon Sep 2 01:02:31 2024 error -1 reading relation 84250418
  476. Mon Sep 2 01:02:34 2024 error -1 reading relation 85335940
  477. Mon Sep 2 01:02:42 2024 error -1 reading relation 87938887
  478. Mon Sep 2 01:03:04 2024 error -1 reading relation 95847864
  479. Mon Sep 2 01:03:04 2024 error -1 reading relation 96163458
  480. Mon Sep 2 01:03:12 2024 error -1 reading relation 99153313
  481. Mon Sep 2 01:03:24 2024 error -15 reading relation 104656309
  482. Mon Sep 2 01:03:36 2024 error -1 reading relation 110077050
  483. Mon Sep 2 01:03:40 2024 error -1 reading relation 112023713
  484. Mon Sep 2 01:03:40 2024 error -1 reading relation 112165894
  485. Mon Sep 2 01:03:43 2024 error -1 reading relation 113640993
  486. Mon Sep 2 01:03:45 2024 error -1 reading relation 114349317
  487. Mon Sep 2 01:03:45 2024 error -1 reading relation 114474724
  488. Mon Sep 2 01:03:49 2024 error -1 reading relation 116146462
  489. Mon Sep 2 01:03:50 2024 error -1 reading relation 117013147
  490. Mon Sep 2 01:03:53 2024 error -1 reading relation 118091567
  491. Mon Sep 2 01:03:54 2024 error -1 reading relation 118898872
  492. Mon Sep 2 01:03:56 2024 error -1 reading relation 119512174
  493. Mon Sep 2 01:03:59 2024 error -1 reading relation 120861135
  494. Mon Sep 2 01:04:13 2024 error -1 reading relation 126843024
  495. Mon Sep 2 01:04:36 2024 error -1 reading relation 134719310
  496. Mon Sep 2 01:04:37 2024 error -1 reading relation 134771319
  497. Mon Sep 2 01:04:37 2024 error -1 reading relation 134876684
  498. Mon Sep 2 01:04:56 2024 error -1 reading relation 141177950
  499. Mon Sep 2 01:05:03 2024 error -1 reading relation 143750076
  500. Mon Sep 2 01:05:04 2024 error -1 reading relation 143986406
  501. Mon Sep 2 01:05:05 2024 error -1 reading relation 144085988
  502. Mon Sep 2 01:05:05 2024 error -1 reading relation 144285051
  503. Mon Sep 2 01:05:07 2024 error -1 reading relation 144671652
  504. Mon Sep 2 01:05:07 2024 error -1 reading relation 144755920
  505. Mon Sep 2 01:05:07 2024 error -1 reading relation 144887179
  506. Mon Sep 2 01:05:08 2024 error -1 reading relation 145077713
  507. Mon Sep 2 01:05:09 2024 error -1 reading relation 145251998
  508. Mon Sep 2 01:05:12 2024 error -1 reading relation 146519808
  509. Mon Sep 2 01:05:13 2024 error -1 reading relation 146649044
  510. Mon Sep 2 01:05:13 2024 error -15 reading relation 146713627
  511. Mon Sep 2 01:05:20 2024 error -1 reading relation 148798910
  512. Mon Sep 2 01:05:22 2024 error -1 reading relation 149487444
  513. Mon Sep 2 01:05:22 2024 error -1 reading relation 149648042
  514. Mon Sep 2 01:05:25 2024 error -1 reading relation 150432689
  515. Mon Sep 2 01:05:26 2024 error -1 reading relation 150675583
  516. Mon Sep 2 01:05:27 2024 error -1 reading relation 151027791
  517. Mon Sep 2 01:05:27 2024 error -1 reading relation 151048791
  518. Mon Sep 2 01:05:27 2024 error -1 reading relation 151103572
  519. Mon Sep 2 01:05:28 2024 error -1 reading relation 151324039
  520. Mon Sep 2 01:05:29 2024 error -1 reading relation 151570469
  521. Mon Sep 2 01:05:29 2024 error -1 reading relation 151664657
  522. Mon Sep 2 01:05:31 2024 error -1 reading relation 152327676
  523. Mon Sep 2 01:05:31 2024 error -1 reading relation 152380472
  524. Mon Sep 2 01:05:32 2024 error -1 reading relation 152561759
  525. Mon Sep 2 01:05:48 2024 error -1 reading relation 157339042
  526. Mon Sep 2 01:06:20 2024 error -1 reading relation 167649550
  527. Mon Sep 2 01:06:24 2024 error -1 reading relation 169002741
  528. Mon Sep 2 01:06:25 2024 error -1 reading relation 169387297
  529. Mon Sep 2 01:06:26 2024 error -1 reading relation 169899319
  530. Mon Sep 2 01:06:29 2024 error -1 reading relation 170633857
  531. Mon Sep 2 01:06:29 2024 error -1 reading relation 170817865
  532. Mon Sep 2 01:06:34 2024 skipped 511 malformed relations
  533. Mon Sep 2 01:06:34 2024 found 43181900 hash collisions in 172399256 relations
  534. Mon Sep 2 01:07:00 2024 added 122256 free relations
  535. Mon Sep 2 01:07:00 2024 commencing duplicate removal, pass 2
  536. Mon Sep 2 01:10:41 2024 found 49998137 duplicates and 122523375 unique relations
  537. Mon Sep 2 01:10:41 2024 memory use: 1321.5 MB
  538. Mon Sep 2 01:10:41 2024 reading ideals above 720000
  539. Mon Sep 2 01:10:41 2024 commencing singleton removal, initial pass
  540. Mon Sep 2 01:23:50 2024 memory use: 2756.0 MB
  541. Mon Sep 2 01:23:50 2024 reading all ideals from disk
  542. Mon Sep 2 01:23:52 2024 memory use: 5792.5 MB
  543. Mon Sep 2 01:24:06 2024 keeping 97512964 ideals with weight <= 200, target excess is 662977
  544. Mon Sep 2 01:24:22 2024 commencing in-memory singleton removal
  545. Mon Sep 2 01:24:25 2024 begin with 122523375 relations and 97512964 unique ideals
  546. Mon Sep 2 01:24:40 2024 reduce to 98880094 relations and 72467026 ideals in 9 passes
  547. Mon Sep 2 01:24:40 2024 max relations containing the same ideal: 182
  548. Mon Sep 2 01:25:28 2024 removing 7206751 relations and 5206751 ideals in 2000000 cliques
  549. Mon Sep 2 01:25:32 2024 commencing in-memory singleton removal
  550. Mon Sep 2 01:25:36 2024 begin with 91673343 relations and 72467026 unique ideals
  551. Mon Sep 2 01:25:45 2024 reduce to 91226766 relations and 66802296 ideals in 7 passes
  552. Mon Sep 2 01:25:45 2024 max relations containing the same ideal: 176
  553. Mon Sep 2 01:26:27 2024 removing 5863376 relations and 3863376 ideals in 2000000 cliques
  554. Mon Sep 2 01:26:31 2024 commencing in-memory singleton removal
  555. Mon Sep 2 01:26:34 2024 begin with 85363390 relations and 66802296 unique ideals
  556. Mon Sep 2 01:26:42 2024 reduce to 85058213 relations and 62627024 ideals in 6 passes
  557. Mon Sep 2 01:26:42 2024 max relations containing the same ideal: 167
  558. Mon Sep 2 01:27:18 2024 removing 5519373 relations and 3519373 ideals in 2000000 cliques
  559. Mon Sep 2 01:27:22 2024 commencing in-memory singleton removal
  560. Mon Sep 2 01:27:24 2024 begin with 79538840 relations and 62627024 unique ideals
  561. Mon Sep 2 01:27:30 2024 reduce to 79271975 relations and 58834898 ideals in 6 passes
  562. Mon Sep 2 01:27:30 2024 max relations containing the same ideal: 161
  563. Mon Sep 2 01:28:03 2024 removing 5348044 relations and 3348044 ideals in 2000000 cliques
  564. Mon Sep 2 01:28:06 2024 commencing in-memory singleton removal
  565. Mon Sep 2 01:28:08 2024 begin with 73923931 relations and 58834898 unique ideals
  566. Mon Sep 2 01:28:14 2024 reduce to 73670728 relations and 55228066 ideals in 6 passes
  567. Mon Sep 2 01:28:14 2024 max relations containing the same ideal: 154
  568. Mon Sep 2 01:28:45 2024 removing 5246795 relations and 3246795 ideals in 2000000 cliques
  569. Mon Sep 2 01:28:48 2024 commencing in-memory singleton removal
  570. Mon Sep 2 01:28:50 2024 begin with 68423933 relations and 55228066 unique ideals
  571. Mon Sep 2 01:28:55 2024 reduce to 68172145 relations and 51723445 ideals in 6 passes
  572. Mon Sep 2 01:28:55 2024 max relations containing the same ideal: 148
  573. Mon Sep 2 01:29:24 2024 removing 5185852 relations and 3185852 ideals in 2000000 cliques
  574. Mon Sep 2 01:29:27 2024 commencing in-memory singleton removal
  575. Mon Sep 2 01:29:29 2024 begin with 62986293 relations and 51723445 unique ideals
  576. Mon Sep 2 01:29:34 2024 reduce to 62726767 relations and 48271584 ideals in 6 passes
  577. Mon Sep 2 01:29:34 2024 max relations containing the same ideal: 138
  578. Mon Sep 2 01:30:03 2024 removing 5151305 relations and 3151305 ideals in 2000000 cliques
  579. Mon Sep 2 01:30:06 2024 commencing in-memory singleton removal
  580. Mon Sep 2 01:30:08 2024 begin with 57575462 relations and 48271584 unique ideals
  581. Mon Sep 2 01:30:12 2024 reduce to 57301969 relations and 44839435 ideals in 6 passes
  582. Mon Sep 2 01:30:12 2024 max relations containing the same ideal: 132
  583. Mon Sep 2 01:30:35 2024 removing 5143218 relations and 3143218 ideals in 2000000 cliques
  584. Mon Sep 2 01:30:37 2024 commencing in-memory singleton removal
  585. Mon Sep 2 01:30:38 2024 begin with 52158751 relations and 44839435 unique ideals
  586. Mon Sep 2 01:30:41 2024 reduce to 51862945 relations and 41391750 ideals in 6 passes
  587. Mon Sep 2 01:30:41 2024 max relations containing the same ideal: 119
  588. Mon Sep 2 01:30:58 2024 removing 5158215 relations and 3158215 ideals in 2000000 cliques
  589. Mon Sep 2 01:31:00 2024 commencing in-memory singleton removal
  590. Mon Sep 2 01:31:01 2024 begin with 46704730 relations and 41391750 unique ideals
  591. Mon Sep 2 01:31:04 2024 reduce to 46373764 relations and 37892063 ideals in 7 passes
  592. Mon Sep 2 01:31:04 2024 max relations containing the same ideal: 113
  593. Mon Sep 2 01:31:19 2024 removing 5196490 relations and 3196490 ideals in 2000000 cliques
  594. Mon Sep 2 01:31:22 2024 commencing in-memory singleton removal
  595. Mon Sep 2 01:31:23 2024 begin with 41177274 relations and 37892063 unique ideals
  596. Mon Sep 2 01:31:26 2024 reduce to 40796453 relations and 34301367 ideals in 7 passes
  597. Mon Sep 2 01:31:26 2024 max relations containing the same ideal: 105
  598. Mon Sep 2 01:31:44 2024 removing 5259553 relations and 3259553 ideals in 2000000 cliques
  599. Mon Sep 2 01:31:46 2024 commencing in-memory singleton removal
  600. Mon Sep 2 01:31:47 2024 begin with 35536900 relations and 34301367 unique ideals
  601. Mon Sep 2 01:31:50 2024 reduce to 35088888 relations and 30575965 ideals in 6 passes
  602. Mon Sep 2 01:31:50 2024 max relations containing the same ideal: 94
  603. Mon Sep 2 01:32:08 2024 removing 5360163 relations and 3360163 ideals in 2000000 cliques
  604. Mon Sep 2 01:32:10 2024 commencing in-memory singleton removal
  605. Mon Sep 2 01:32:11 2024 begin with 29728725 relations and 30575965 unique ideals
  606. Mon Sep 2 01:32:14 2024 reduce to 29173840 relations and 26635042 ideals in 8 passes
  607. Mon Sep 2 01:32:14 2024 max relations containing the same ideal: 82
  608. Mon Sep 2 01:32:31 2024 removing 4957644 relations and 3187900 ideals in 1769744 cliques
  609. Mon Sep 2 01:32:33 2024 commencing in-memory singleton removal
  610. Mon Sep 2 01:32:34 2024 begin with 24216196 relations and 26635042 unique ideals
  611. Mon Sep 2 01:32:36 2024 reduce to 23603778 relations and 22803557 ideals in 8 passes
  612. Mon Sep 2 01:32:36 2024 max relations containing the same ideal: 72
  613. Mon Sep 2 01:32:49 2024 removing 181588 relations and 150421 ideals in 31167 cliques
  614. Mon Sep 2 01:32:51 2024 commencing in-memory singleton removal
  615. Mon Sep 2 01:32:52 2024 begin with 23422190 relations and 22803557 unique ideals
  616. Mon Sep 2 01:32:53 2024 reduce to 23420979 relations and 22651923 ideals in 5 passes
  617. Mon Sep 2 01:32:53 2024 max relations containing the same ideal: 70
  618. Mon Sep 2 01:32:57 2024 relations with 0 large ideals: 2209
  619. Mon Sep 2 01:32:57 2024 relations with 1 large ideals: 9864
  620. Mon Sep 2 01:32:57 2024 relations with 2 large ideals: 136453
  621. Mon Sep 2 01:32:57 2024 relations with 3 large ideals: 831039
  622. Mon Sep 2 01:32:57 2024 relations with 4 large ideals: 2700484
  623. Mon Sep 2 01:32:57 2024 relations with 5 large ideals: 5198829
  624. Mon Sep 2 01:32:57 2024 relations with 6 large ideals: 6338147
  625. Mon Sep 2 01:32:57 2024 relations with 7+ large ideals: 8203954
  626. Mon Sep 2 01:32:57 2024 commencing 2-way merge
  627. Mon Sep 2 01:33:16 2024 reduce to 16224395 relation sets and 15455339 unique ideals
  628. Mon Sep 2 01:33:16 2024 commencing full merge
  629. Mon Sep 2 01:40:38 2024 memory use: 1968.4 MB
  630. Mon Sep 2 01:40:40 2024 found 6943658 cycles, need 6943539
  631. Mon Sep 2 01:40:42 2024 weight of 6943539 cycles is about 972761414 (140.10/cycle)
  632. Mon Sep 2 01:40:42 2024 distribution of cycle lengths:
  633. Mon Sep 2 01:40:42 2024 1 relations: 180972
  634. Mon Sep 2 01:40:42 2024 2 relations: 332601
  635. Mon Sep 2 01:40:42 2024 3 relations: 422151
  636. Mon Sep 2 01:40:42 2024 4 relations: 460760
  637. Mon Sep 2 01:40:42 2024 5 relations: 492691
  638. Mon Sep 2 01:40:42 2024 6 relations: 500802
  639. Mon Sep 2 01:40:42 2024 7 relations: 503767
  640. Mon Sep 2 01:40:42 2024 8 relations: 486435
  641. Mon Sep 2 01:40:42 2024 9 relations: 461536
  642. Mon Sep 2 01:40:42 2024 10+ relations: 3101824
  643. Mon Sep 2 01:40:42 2024 heaviest cycle: 28 relations
  644. Mon Sep 2 01:40:44 2024 commencing cycle optimization
  645. Mon Sep 2 01:41:01 2024 start with 67247775 relations
  646. Mon Sep 2 01:43:56 2024 pruned 4109101 relations
  647. Mon Sep 2 01:43:56 2024 memory use: 1657.2 MB
  648. Mon Sep 2 01:43:56 2024 distribution of cycle lengths:
  649. Mon Sep 2 01:43:56 2024 1 relations: 180972
  650. Mon Sep 2 01:43:56 2024 2 relations: 343467
  651. Mon Sep 2 01:43:56 2024 3 relations: 444709
  652. Mon Sep 2 01:43:56 2024 4 relations: 486686
  653. Mon Sep 2 01:43:56 2024 5 relations: 526182
  654. Mon Sep 2 01:43:56 2024 6 relations: 536088
  655. Mon Sep 2 01:43:56 2024 7 relations: 542091
  656. Mon Sep 2 01:43:56 2024 8 relations: 520215
  657. Mon Sep 2 01:43:56 2024 9 relations: 492926
  658. Mon Sep 2 01:43:56 2024 10+ relations: 2870203
  659. Mon Sep 2 01:43:56 2024 heaviest cycle: 28 relations
  660. Mon Sep 2 01:44:05 2024 RelProcTime: 2742
  661. Mon Sep 2 01:44:05 2024 elapsed time 00:45:43
  662. Mon Sep 2 03:14:31 2024
  663. Mon Sep 2 03:14:31 2024
  664. Mon Sep 2 03:14:31 2024 Msieve v. 1.54 (SVN Unversioned directory)
  665. Mon Sep 2 03:14:31 2024 random seeds: fdd15f3b cdb714e9
  666. Mon Sep 2 03:14:31 2024 MPI process 0 of 1
  667. Mon Sep 2 03:14:31 2024 Using 64 OpenMP threads
  668. Mon Sep 2 03:14:31 2024 factoring 1281026617892247794229851159928952965271297409069729690990721252389094308324754322237141183918020978541408195275366078635196234647426475725192381178182862973727415849645221 (172 digits)
  669. Mon Sep 2 03:14:31 2024 searching for 15-digit factors
  670. Mon Sep 2 03:14:31 2024 commencing number field sieve (172-digit input)
  671. Mon Sep 2 03:14:31 2024 R0: -977209447985786445132612593461810
  672. Mon Sep 2 03:14:31 2024 R1: 1866090556583733541
  673. Mon Sep 2 03:14:31 2024 A0: -1206824118930903148188917758881053132280789
  674. Mon Sep 2 03:14:31 2024 A1: 734270874421509518456572281042685761
  675. Mon Sep 2 03:14:31 2024 A2: 78486908014742997418116294833
  676. Mon Sep 2 03:14:31 2024 A3: -6328491067305129683261
  677. Mon Sep 2 03:14:31 2024 A4: -121650208873444
  678. Mon Sep 2 03:14:31 2024 A5: 1437540
  679. Mon Sep 2 03:14:31 2024 skew 25052304.10, size 8.644e-17, alpha -8.404, combined = 2.581e-13 rroots = 5
  680. Mon Sep 2 03:14:31 2024
  681. Mon Sep 2 03:14:31 2024 commencing linear algebra
  682. Mon Sep 2 03:14:31 2024 using VBITS=256
  683. Mon Sep 2 03:14:31 2024 initialized process (0,0) of 1 x 1 grid
  684. Mon Sep 2 03:14:32 2024 read 6943539 cycles
  685. Mon Sep 2 03:14:45 2024 cycles contain 23057539 unique relations
  686. Mon Sep 2 03:17:04 2024 read 23057539 relations
  687. Mon Sep 2 03:17:06 2024 using 20 quadratic characters above 4294917295
  688. Mon Sep 2 03:17:08 2024 building initial matrix
  689. Mon Sep 2 03:22:03 2024 memory use: 3278.6 MB
  690. Mon Sep 2 03:22:08 2024 read 6943539 cycles
  691. Mon Sep 2 03:22:09 2024 matrix is 6943360 x 6943539 (3691.1 MB) with weight 1118002324 (161.01/col)
  692. Mon Sep 2 03:22:09 2024 sparse part has weight 884285060 (127.35/col)
  693. Mon Sep 2 03:23:40 2024 filtering completed in 2 passes
  694. Mon Sep 2 03:23:41 2024 matrix is 6943322 x 6943501 (3691.1 MB) with weight 1118000590 (161.01/col)
  695. Mon Sep 2 03:23:41 2024 sparse part has weight 884284664 (127.35/col)
  696. Mon Sep 2 03:24:25 2024 matrix starts at (0, 0)
  697. Mon Sep 2 03:24:26 2024 matrix is 6943322 x 6943501 (3691.1 MB) with weight 1118000590 (161.01/col)
  698. Mon Sep 2 03:24:26 2024 sparse part has weight 884284664 (127.35/col)
  699. Mon Sep 2 03:24:26 2024 saving the first 240 matrix rows for later
  700. Mon Sep 2 03:24:28 2024 matrix includes 256 packed rows
  701. Mon Sep 2 03:24:30 2024 matrix is 6943082 x 6943501 (3308.2 MB) with weight 807884647 (116.35/col)
  702. Mon Sep 2 03:24:30 2024 sparse part has weight 756138447 (108.90/col)
  703. Mon Sep 2 03:24:30 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  704. Mon Sep 2 03:24:47 2024 commencing Lanczos iteration (64 threads)
  705. Mon Sep 2 03:24:47 2024 memory use: 4593.1 MB
  706. Mon Sep 2 03:26:55 2024 linear algebra at 0.4%, ETA 7h50m
  707. Mon Sep 2 03:28:32 2024 checking every 20000 dimensions, checkpointing every 1260000 dimensions
  708. Mon Sep 2 07:25:15 2024 lanczos halted after 27205 iterations (dim = 6943081)
  709. Mon Sep 2 07:25:42 2024 recovered 27 nontrivial dependencies
  710. Mon Sep 2 07:25:42 2024 BLanczosTime: 15071
  711. Mon Sep 2 07:25:42 2024
  712. Mon Sep 2 07:25:42 2024 commencing square root phase
  713. Mon Sep 2 07:25:42 2024 reading relations for dependency 1
  714. Mon Sep 2 07:25:43 2024 read 3473519 cycles
  715. Mon Sep 2 07:25:49 2024 cycles contain 11533546 unique relations
  716. Mon Sep 2 07:28:00 2024 read 11533546 relations
  717. Mon Sep 2 07:28:44 2024 multiplying 11533546 relations
  718. Mon Sep 2 07:29:54 2024 multiply complete, coefficients have about 687.66 million bits
  719. Mon Sep 2 07:29:56 2024 initial square root is modulo 1476967
  720. Mon Sep 2 07:35:20 2024 GCD is N, no factor found
  721. Mon Sep 2 07:35:20 2024 reading relations for dependency 2
  722. Mon Sep 2 07:35:21 2024 read 3472710 cycles
  723. Mon Sep 2 07:35:28 2024 cycles contain 11530336 unique relations
  724. Mon Sep 2 07:38:06 2024 read 11530336 relations
  725. Mon Sep 2 07:39:13 2024 multiplying 11530336 relations
  726. Mon Sep 2 07:41:15 2024 multiply complete, coefficients have about 687.46 million bits
  727. Mon Sep 2 07:41:17 2024 initial square root is modulo 1470941
  728. Mon Sep 2 07:47:46 2024 GCD is 1, no factor found
  729. Mon Sep 2 07:47:46 2024 reading relations for dependency 3
  730. Mon Sep 2 07:47:47 2024 read 3471083 cycles
  731. Mon Sep 2 07:47:57 2024 cycles contain 11528566 unique relations
  732. Mon Sep 2 07:50:30 2024 read 11528566 relations
  733. Mon Sep 2 07:51:19 2024 multiplying 11528566 relations
  734. Mon Sep 2 07:52:49 2024 multiply complete, coefficients have about 687.36 million bits
  735. Mon Sep 2 07:52:51 2024 initial square root is modulo 1467749
  736. Mon Sep 2 07:56:33 2024 GCD is N, no factor found
  737. Mon Sep 2 07:56:33 2024 reading relations for dependency 4
  738. Mon Sep 2 07:56:34 2024 read 3472037 cycles
  739. Mon Sep 2 07:56:39 2024 cycles contain 11531054 unique relations
  740. Mon Sep 2 07:58:52 2024 read 11531054 relations
  741. Mon Sep 2 07:59:32 2024 multiplying 11531054 relations
  742. Mon Sep 2 08:00:42 2024 multiply complete, coefficients have about 687.50 million bits
  743. Mon Sep 2 08:00:44 2024 initial square root is modulo 1472209
  744. Mon Sep 2 08:04:23 2024 GCD is 1, no factor found
  745. Mon Sep 2 08:04:23 2024 reading relations for dependency 5
  746. Mon Sep 2 08:04:24 2024 read 3472866 cycles
  747. Mon Sep 2 08:04:29 2024 cycles contain 11530524 unique relations
  748. Mon Sep 2 08:06:41 2024 read 11530524 relations
  749. Mon Sep 2 08:07:24 2024 multiplying 11530524 relations
  750. Mon Sep 2 08:08:33 2024 multiply complete, coefficients have about 687.47 million bits
  751. Mon Sep 2 08:08:35 2024 initial square root is modulo 1471069
  752. Mon Sep 2 08:12:12 2024 sqrtTime: 2790
  753. Mon Sep 2 08:12:12 2024 p79 factor: 3133564794254943039451044704152703653750301441772607676649111794247580356518197
  754. Mon Sep 2 08:12:12 2024 p93 factor: 408808083445688922583692684129586909173571105258098738822047592578867673085262487205766095793
  755. Mon Sep 2 08:12:12 2024 elapsed time 04:57:41
  756. Tue Sep 17 10:13:44 2024
  757. Tue Sep 17 10:13:44 2024
  758. Tue Sep 17 10:13:44 2024 Msieve v. 1.54 (SVN Unversioned directory)
  759. Tue Sep 17 10:13:44 2024 random seeds: 46799d3b 822fb836
  760. Tue Sep 17 10:13:44 2024 MPI process 0 of 1
  761. Tue Sep 17 10:13:44 2024 Using 16 OpenMP threads
  762. Tue Sep 17 10:13:44 2024 factoring 3232699848095712102683078742225750656586485894578113393124759315150526264061327991270354790989531918241405950252196699606240737412083368666088842219662927923206244383602419 (172 digits)
  763. Tue Sep 17 10:13:45 2024 searching for 15-digit factors
  764. Tue Sep 17 10:13:45 2024 commencing number field sieve (172-digit input)
  765. Tue Sep 17 10:13:45 2024 R0: -1773829007226394333517007468504529
  766. Tue Sep 17 10:13:45 2024 R1: 359553315977506333
  767. Tue Sep 17 10:13:45 2024 A0: 2888934351074508264992436328833226499352802080
  768. Tue Sep 17 10:13:45 2024 A1: 34753312925644793408648255882985324108
  769. Tue Sep 17 10:13:45 2024 A2: -850831577482513829114259784628
  770. Tue Sep 17 10:13:45 2024 A3: -4432237890469177566685
  771. Tue Sep 17 10:13:45 2024 A4: 29717894686576
  772. Tue Sep 17 10:13:45 2024 A5: 184080
  773. Tue Sep 17 10:13:45 2024 skew 132901262.48, size 8.392e-17, alpha -9.717, combined = 2.538e-13 rroots = 3
  774. Tue Sep 17 10:13:45 2024
  775. Tue Sep 17 10:13:45 2024 commencing relation filtering
  776. Tue Sep 17 10:13:45 2024 setting target matrix density to 140.0
  777. Tue Sep 17 10:13:45 2024 estimated available RAM is 257736.5 MB
  778. Tue Sep 17 10:13:45 2024 commencing duplicate removal, pass 1
  779. Tue Sep 17 10:15:04 2024 error -1 reading relation 21373210
  780. Tue Sep 17 10:17:30 2024 error -1 reading relation 64921245
  781. Tue Sep 17 10:17:53 2024 error -1 reading relation 71029209
  782. Tue Sep 17 10:18:03 2024 error -1 reading relation 74247608
  783. Tue Sep 17 10:18:06 2024 error -1 reading relation 75261741
  784. Tue Sep 17 10:20:11 2024 error -1 reading relation 112920609
  785. Tue Sep 17 10:21:24 2024 error -1 reading relation 133754136
  786. Tue Sep 17 10:22:21 2024 error -1 reading relation 149711894
  787. Tue Sep 17 10:22:37 2024 error -1 reading relation 153735551
  788. Tue Sep 17 10:23:07 2024 error -1 reading relation 162721617
  789. Tue Sep 17 10:23:26 2024 error -1 reading relation 168394995
  790. Tue Sep 17 10:23:37 2024 error -1 reading relation 171705918
  791. Tue Sep 17 10:23:39 2024 error -1 reading relation 172485387
  792. Tue Sep 17 10:24:01 2024 error -1 reading relation 178571269
  793. Tue Sep 17 10:24:18 2024 error -1 reading relation 183149304
  794. Tue Sep 17 10:25:22 2024 error -1 reading relation 200606539
  795. Tue Sep 17 10:25:37 2024 error -1 reading relation 204818657
  796. Tue Sep 17 10:26:34 2024 error -1 reading relation 220206092
  797. Tue Sep 17 10:27:31 2024 error -1 reading relation 235844283
  798. Tue Sep 17 10:27:32 2024 error -1 reading relation 236336863
  799. Tue Sep 17 10:27:33 2024 error -1 reading relation 236500349
  800. Tue Sep 17 10:28:56 2024 error -1 reading relation 258113463
  801. Tue Sep 17 10:29:23 2024 error -1 reading relation 265283720
  802. Tue Sep 17 10:29:23 2024 error -1 reading relation 265298333
  803. Tue Sep 17 10:29:24 2024 error -1 reading relation 265562858
  804. Tue Sep 17 10:29:45 2024 error -1 reading relation 271308803
  805. Tue Sep 17 10:29:46 2024 skipped 234 malformed relations
  806. Tue Sep 17 10:29:46 2024 found 54508026 hash collisions in 271466648 relations
  807. Tue Sep 17 10:30:14 2024 added 122058 free relations
  808. Tue Sep 17 10:30:14 2024 commencing duplicate removal, pass 2
  809. Tue Sep 17 10:36:23 2024 found 58080983 duplicates and 213507723 unique relations
  810. Tue Sep 17 10:36:23 2024 memory use: 1705.5 MB
  811. Tue Sep 17 10:36:23 2024 reading ideals above 720000
  812. Tue Sep 17 10:36:23 2024 commencing singleton removal, initial pass
  813. Tue Sep 17 11:00:01 2024 memory use: 5512.0 MB
  814. Tue Sep 17 11:00:01 2024 reading all ideals from disk
  815. Tue Sep 17 11:00:05 2024 memory use: 10107.3 MB
  816. Tue Sep 17 11:00:33 2024 keeping 181171139 ideals with weight <= 200, target excess is 1081466
  817. Tue Sep 17 11:01:06 2024 commencing in-memory singleton removal
  818. Tue Sep 17 11:01:13 2024 begin with 213507723 relations and 181171139 unique ideals
  819. Tue Sep 17 11:01:40 2024 reduce to 156454620 relations and 119552307 ideals in 14 passes
  820. Tue Sep 17 11:01:40 2024 max relations containing the same ideal: 173
  821. Tue Sep 17 11:02:36 2024 removing 9701030 relations and 7701030 ideals in 2000000 cliques
  822. Tue Sep 17 11:02:42 2024 commencing in-memory singleton removal
  823. Tue Sep 17 11:02:46 2024 begin with 146753590 relations and 119552307 unique ideals
  824. Tue Sep 17 11:02:56 2024 reduce to 146263562 relations and 111353015 ideals in 8 passes
  825. Tue Sep 17 11:02:56 2024 max relations containing the same ideal: 164
  826. Tue Sep 17 11:03:45 2024 removing 7490718 relations and 5490718 ideals in 2000000 cliques
  827. Tue Sep 17 11:03:49 2024 commencing in-memory singleton removal
  828. Tue Sep 17 11:03:52 2024 begin with 138772844 relations and 111353015 unique ideals
  829. Tue Sep 17 11:04:00 2024 reduce to 138442744 relations and 105527373 ideals in 7 passes
  830. Tue Sep 17 11:04:00 2024 max relations containing the same ideal: 161
  831. Tue Sep 17 11:04:45 2024 removing 6853109 relations and 4853109 ideals in 2000000 cliques
  832. Tue Sep 17 11:04:49 2024 commencing in-memory singleton removal
  833. Tue Sep 17 11:04:53 2024 begin with 131589635 relations and 105527373 unique ideals
  834. Tue Sep 17 11:05:00 2024 reduce to 131301056 relations and 100381436 ideals in 7 passes
  835. Tue Sep 17 11:05:00 2024 max relations containing the same ideal: 153
  836. Tue Sep 17 11:05:45 2024 removing 6524186 relations and 4524186 ideals in 2000000 cliques
  837. Tue Sep 17 11:05:49 2024 commencing in-memory singleton removal
  838. Tue Sep 17 11:05:52 2024 begin with 124776870 relations and 100381436 unique ideals
  839. Tue Sep 17 11:05:59 2024 reduce to 124508164 relations and 95584572 ideals in 7 passes
  840. Tue Sep 17 11:05:59 2024 max relations containing the same ideal: 148
  841. Tue Sep 17 11:06:42 2024 removing 6325286 relations and 4325286 ideals in 2000000 cliques
  842. Tue Sep 17 11:06:45 2024 commencing in-memory singleton removal
  843. Tue Sep 17 11:06:48 2024 begin with 118182878 relations and 95584572 unique ideals
  844. Tue Sep 17 11:06:54 2024 reduce to 117923468 relations and 90995971 ideals in 6 passes
  845. Tue Sep 17 11:06:54 2024 max relations containing the same ideal: 144
  846. Tue Sep 17 11:07:31 2024 removing 6192399 relations and 4192399 ideals in 2000000 cliques
  847. Tue Sep 17 11:07:35 2024 commencing in-memory singleton removal
  848. Tue Sep 17 11:07:38 2024 begin with 111731069 relations and 90995971 unique ideals
  849. Tue Sep 17 11:07:43 2024 reduce to 111474271 relations and 86542701 ideals in 6 passes
  850. Tue Sep 17 11:07:43 2024 max relations containing the same ideal: 140
  851. Tue Sep 17 11:08:20 2024 removing 6099639 relations and 4099639 ideals in 2000000 cliques
  852. Tue Sep 17 11:08:23 2024 commencing in-memory singleton removal
  853. Tue Sep 17 11:08:26 2024 begin with 105374632 relations and 86542701 unique ideals
  854. Tue Sep 17 11:08:31 2024 reduce to 105115202 relations and 82179461 ideals in 7 passes
  855. Tue Sep 17 11:08:31 2024 max relations containing the same ideal: 136
  856. Tue Sep 17 11:09:07 2024 removing 6033830 relations and 4033830 ideals in 2000000 cliques
  857. Tue Sep 17 11:09:11 2024 commencing in-memory singleton removal
  858. Tue Sep 17 11:09:13 2024 begin with 99081372 relations and 82179461 unique ideals
  859. Tue Sep 17 11:09:18 2024 reduce to 98816615 relations and 77876158 ideals in 7 passes
  860. Tue Sep 17 11:09:18 2024 max relations containing the same ideal: 129
  861. Tue Sep 17 11:09:51 2024 removing 5995643 relations and 3995643 ideals in 2000000 cliques
  862. Tue Sep 17 11:09:55 2024 commencing in-memory singleton removal
  863. Tue Sep 17 11:09:57 2024 begin with 92820972 relations and 77876158 unique ideals
  864. Tue Sep 17 11:10:02 2024 reduce to 92546673 relations and 73601108 ideals in 8 passes
  865. Tue Sep 17 11:10:02 2024 max relations containing the same ideal: 125
  866. Tue Sep 17 11:10:33 2024 removing 5972514 relations and 3972514 ideals in 2000000 cliques
  867. Tue Sep 17 11:10:36 2024 commencing in-memory singleton removal
  868. Tue Sep 17 11:10:38 2024 begin with 86574159 relations and 73601108 unique ideals
  869. Tue Sep 17 11:10:43 2024 reduce to 86286621 relations and 69335455 ideals in 7 passes
  870. Tue Sep 17 11:10:43 2024 max relations containing the same ideal: 122
  871. Tue Sep 17 11:11:12 2024 removing 5974776 relations and 3974776 ideals in 2000000 cliques
  872. Tue Sep 17 11:11:15 2024 commencing in-memory singleton removal
  873. Tue Sep 17 11:11:17 2024 begin with 80311845 relations and 69335455 unique ideals
  874. Tue Sep 17 11:11:20 2024 reduce to 80003779 relations and 65046111 ideals in 6 passes
  875. Tue Sep 17 11:11:20 2024 max relations containing the same ideal: 114
  876. Tue Sep 17 11:11:49 2024 removing 5988790 relations and 3988790 ideals in 2000000 cliques
  877. Tue Sep 17 11:11:52 2024 commencing in-memory singleton removal
  878. Tue Sep 17 11:11:53 2024 begin with 74014989 relations and 65046111 unique ideals
  879. Tue Sep 17 11:11:57 2024 reduce to 73680792 relations and 60715858 ideals in 8 passes
  880. Tue Sep 17 11:11:57 2024 max relations containing the same ideal: 107
  881. Tue Sep 17 11:12:24 2024 removing 6023726 relations and 4023726 ideals in 2000000 cliques
  882. Tue Sep 17 11:12:27 2024 commencing in-memory singleton removal
  883. Tue Sep 17 11:12:28 2024 begin with 67657066 relations and 60715858 unique ideals
  884. Tue Sep 17 11:12:32 2024 reduce to 67290052 relations and 56316392 ideals in 7 passes
  885. Tue Sep 17 11:12:32 2024 max relations containing the same ideal: 99
  886. Tue Sep 17 11:12:57 2024 removing 6082426 relations and 4082426 ideals in 2000000 cliques
  887. Tue Sep 17 11:12:59 2024 commencing in-memory singleton removal
  888. Tue Sep 17 11:13:00 2024 begin with 61207626 relations and 56316392 unique ideals
  889. Tue Sep 17 11:13:03 2024 reduce to 60796537 relations and 51812324 ideals in 7 passes
  890. Tue Sep 17 11:13:03 2024 max relations containing the same ideal: 92
  891. Tue Sep 17 11:13:26 2024 removing 6167106 relations and 4167106 ideals in 2000000 cliques
  892. Tue Sep 17 11:13:28 2024 commencing in-memory singleton removal
  893. Tue Sep 17 11:13:29 2024 begin with 54629431 relations and 51812324 unique ideals
  894. Tue Sep 17 11:13:32 2024 reduce to 54156857 relations and 47159426 ideals in 7 passes
  895. Tue Sep 17 11:13:32 2024 max relations containing the same ideal: 85
  896. Tue Sep 17 11:13:52 2024 removing 6284534 relations and 4284534 ideals in 2000000 cliques
  897. Tue Sep 17 11:13:54 2024 commencing in-memory singleton removal
  898. Tue Sep 17 11:13:55 2024 begin with 47872323 relations and 47159426 unique ideals
  899. Tue Sep 17 11:13:58 2024 reduce to 47309520 relations and 42294242 ideals in 9 passes
  900. Tue Sep 17 11:13:58 2024 max relations containing the same ideal: 79
  901. Tue Sep 17 11:14:15 2024 removing 6452821 relations and 4452821 ideals in 2000000 cliques
  902. Tue Sep 17 11:14:17 2024 commencing in-memory singleton removal
  903. Tue Sep 17 11:14:18 2024 begin with 40856699 relations and 42294242 unique ideals
  904. Tue Sep 17 11:14:20 2024 reduce to 40155441 relations and 37115009 ideals in 9 passes
  905. Tue Sep 17 11:14:20 2024 max relations containing the same ideal: 72
  906. Tue Sep 17 11:14:35 2024 removing 6110824 relations and 4324893 ideals in 1785931 cliques
  907. Tue Sep 17 11:14:37 2024 commencing in-memory singleton removal
  908. Tue Sep 17 11:14:38 2024 begin with 34044617 relations and 37115009 unique ideals
  909. Tue Sep 17 11:14:40 2024 reduce to 33268505 relations and 31984165 ideals in 9 passes
  910. Tue Sep 17 11:14:40 2024 max relations containing the same ideal: 62
  911. Tue Sep 17 11:14:53 2024 removing 224597 relations and 194758 ideals in 29839 cliques
  912. Tue Sep 17 11:14:54 2024 commencing in-memory singleton removal
  913. Tue Sep 17 11:14:55 2024 begin with 33043908 relations and 31984165 unique ideals
  914. Tue Sep 17 11:14:56 2024 reduce to 33042904 relations and 31788401 ideals in 5 passes
  915. Tue Sep 17 11:14:56 2024 max relations containing the same ideal: 61
  916. Tue Sep 17 11:15:02 2024 relations with 0 large ideals: 3640
  917. Tue Sep 17 11:15:02 2024 relations with 1 large ideals: 26500
  918. Tue Sep 17 11:15:02 2024 relations with 2 large ideals: 341040
  919. Tue Sep 17 11:15:02 2024 relations with 3 large ideals: 1835228
  920. Tue Sep 17 11:15:02 2024 relations with 4 large ideals: 5212498
  921. Tue Sep 17 11:15:02 2024 relations with 5 large ideals: 8638916
  922. Tue Sep 17 11:15:02 2024 relations with 6 large ideals: 8808035
  923. Tue Sep 17 11:15:02 2024 relations with 7+ large ideals: 8177047
  924. Tue Sep 17 11:15:02 2024 commencing 2-way merge
  925. Tue Sep 17 11:15:41 2024 reduce to 20827243 relation sets and 19572740 unique ideals
  926. Tue Sep 17 11:15:41 2024 commencing full merge
  927. Tue Sep 17 11:37:22 2024 memory use: 921.0 MB
  928. Tue Sep 17 11:37:22 2024 found 130062 cycles, need 4779666
  929. Tue Sep 17 11:37:22 2024 too few cycles, matrix probably cannot build
  930. Tue Sep 17 11:37:22 2024 filtering wants 1000000 more relations
  931. Tue Sep 17 11:37:22 2024 elapsed time 01:23:38
  932. Tue Sep 17 11:43:32 2024
  933. Tue Sep 17 11:43:32 2024
  934. Tue Sep 17 11:43:32 2024 Msieve v. 1.54 (SVN Unversioned directory)
  935. Tue Sep 17 11:43:32 2024 random seeds: 8be7e3ee 7a89f0a9
  936. Tue Sep 17 11:43:32 2024 MPI process 0 of 1
  937. Tue Sep 17 11:43:32 2024 Using 16 OpenMP threads
  938. Tue Sep 17 11:43:32 2024 factoring 3232699848095712102683078742225750656586485894578113393124759315150526264061327991270354790989531918241405950252196699606240737412083368666088842219662927923206244383602419 (172 digits)
  939. Tue Sep 17 11:43:33 2024 searching for 15-digit factors
  940. Tue Sep 17 11:43:33 2024 commencing number field sieve (172-digit input)
  941. Tue Sep 17 11:43:33 2024 R0: -1773829007226394333517007468504529
  942. Tue Sep 17 11:43:33 2024 R1: 359553315977506333
  943. Tue Sep 17 11:43:33 2024 A0: 2888934351074508264992436328833226499352802080
  944. Tue Sep 17 11:43:33 2024 A1: 34753312925644793408648255882985324108
  945. Tue Sep 17 11:43:33 2024 A2: -850831577482513829114259784628
  946. Tue Sep 17 11:43:33 2024 A3: -4432237890469177566685
  947. Tue Sep 17 11:43:33 2024 A4: 29717894686576
  948. Tue Sep 17 11:43:33 2024 A5: 184080
  949. Tue Sep 17 11:43:33 2024 skew 132901262.48, size 8.392e-17, alpha -9.717, combined = 2.538e-13 rroots = 3
  950. Tue Sep 17 11:43:33 2024
  951. Tue Sep 17 11:43:33 2024 commencing relation filtering
  952. Tue Sep 17 11:43:33 2024 setting target matrix density to 130.0
  953. Tue Sep 17 11:43:33 2024 estimated available RAM is 257736.5 MB
  954. Tue Sep 17 11:43:33 2024 commencing duplicate removal, pass 1
  955. Tue Sep 17 11:44:56 2024 error -1 reading relation 21373210
  956. Tue Sep 17 11:47:44 2024 error -1 reading relation 64921245
  957. Tue Sep 17 11:48:09 2024 error -1 reading relation 71029209
  958. Tue Sep 17 11:48:22 2024 error -1 reading relation 74247608
  959. Tue Sep 17 11:48:26 2024 error -1 reading relation 75261741
  960. Tue Sep 17 11:50:57 2024 error -1 reading relation 112920609
  961. Tue Sep 17 11:52:18 2024 error -1 reading relation 133754136
  962. Tue Sep 17 11:53:22 2024 error -1 reading relation 149711894
  963. Tue Sep 17 11:53:38 2024 error -1 reading relation 153735551
  964. Tue Sep 17 11:54:14 2024 error -1 reading relation 162721617
  965. Tue Sep 17 11:54:30 2024 error -1 reading relation 168394995
  966. Tue Sep 17 11:54:43 2024 error -1 reading relation 171705918
  967. Tue Sep 17 11:54:46 2024 error -1 reading relation 172485387
  968. Tue Sep 17 11:55:08 2024 error -1 reading relation 178571269
  969. Tue Sep 17 11:55:26 2024 error -1 reading relation 183149304
  970. Tue Sep 17 11:56:09 2024 error -1 reading relation 200606539
  971. Tue Sep 17 11:56:17 2024 error -1 reading relation 204818657
  972. Tue Sep 17 11:57:17 2024 error -1 reading relation 220206092
  973. Tue Sep 17 11:58:17 2024 error -1 reading relation 235844283
  974. Tue Sep 17 11:58:18 2024 error -1 reading relation 236336863
  975. Tue Sep 17 11:58:19 2024 error -1 reading relation 236500349
  976. Tue Sep 17 11:59:22 2024 error -1 reading relation 258113463
  977. Tue Sep 17 11:59:51 2024 error -1 reading relation 265283720
  978. Tue Sep 17 11:59:51 2024 error -1 reading relation 265298333
  979. Tue Sep 17 11:59:52 2024 error -1 reading relation 265562858
  980. Tue Sep 17 12:00:18 2024 error -1 reading relation 271308803
  981. Tue Sep 17 12:00:19 2024 skipped 234 malformed relations
  982. Tue Sep 17 12:00:19 2024 found 54512680 hash collisions in 271588706 relations
  983. Tue Sep 17 12:00:51 2024 commencing duplicate removal, pass 2
  984. Tue Sep 17 12:08:38 2024 found 58080983 duplicates and 213507723 unique relations
  985. Tue Sep 17 12:08:38 2024 memory use: 1705.5 MB
  986. Tue Sep 17 12:08:38 2024 reading ideals above 720000
  987. Tue Sep 17 12:08:38 2024 commencing singleton removal, initial pass
  988. Tue Sep 17 12:35:35 2024 memory use: 5512.0 MB
  989. Tue Sep 17 12:35:36 2024 reading all ideals from disk
  990. Tue Sep 17 12:35:43 2024 memory use: 10107.3 MB
  991. Tue Sep 17 12:36:20 2024 keeping 181171139 ideals with weight <= 200, target excess is 1081466
  992. Tue Sep 17 12:37:03 2024 commencing in-memory singleton removal
  993. Tue Sep 17 12:37:10 2024 begin with 213507723 relations and 181171139 unique ideals
  994. Tue Sep 17 12:37:44 2024 reduce to 156454620 relations and 119552307 ideals in 16 passes
  995. Tue Sep 17 12:37:44 2024 max relations containing the same ideal: 173
  996. Tue Sep 17 12:39:08 2024 removing 9701030 relations and 7701030 ideals in 2000000 cliques
  997. Tue Sep 17 12:39:16 2024 commencing in-memory singleton removal
  998. Tue Sep 17 12:39:23 2024 begin with 146753590 relations and 119552307 unique ideals
  999. Tue Sep 17 12:39:42 2024 reduce to 146263562 relations and 111353015 ideals in 7 passes
  1000. Tue Sep 17 12:39:42 2024 max relations containing the same ideal: 164
  1001. Tue Sep 17 12:40:58 2024 removing 7490718 relations and 5490718 ideals in 2000000 cliques
  1002. Tue Sep 17 12:41:05 2024 commencing in-memory singleton removal
  1003. Tue Sep 17 12:41:10 2024 begin with 138772844 relations and 111353015 unique ideals
  1004. Tue Sep 17 12:41:28 2024 reduce to 138442744 relations and 105527373 ideals in 7 passes
  1005. Tue Sep 17 12:41:28 2024 max relations containing the same ideal: 161
  1006. Tue Sep 17 12:42:38 2024 removing 6853109 relations and 4853109 ideals in 2000000 cliques
  1007. Tue Sep 17 12:42:45 2024 commencing in-memory singleton removal
  1008. Tue Sep 17 12:42:49 2024 begin with 131589635 relations and 105527373 unique ideals
  1009. Tue Sep 17 12:43:05 2024 reduce to 131301056 relations and 100381436 ideals in 7 passes
  1010. Tue Sep 17 12:43:05 2024 max relations containing the same ideal: 153
  1011. Tue Sep 17 12:44:13 2024 removing 6524186 relations and 4524186 ideals in 2000000 cliques
  1012. Tue Sep 17 12:44:19 2024 commencing in-memory singleton removal
  1013. Tue Sep 17 12:44:24 2024 begin with 124776870 relations and 100381436 unique ideals
  1014. Tue Sep 17 12:44:42 2024 reduce to 124508164 relations and 95584572 ideals in 8 passes
  1015. Tue Sep 17 12:44:42 2024 max relations containing the same ideal: 148
  1016. Tue Sep 17 12:45:36 2024 removing 6325286 relations and 4325286 ideals in 2000000 cliques
  1017. Tue Sep 17 12:45:40 2024 commencing in-memory singleton removal
  1018. Tue Sep 17 12:45:43 2024 begin with 118182878 relations and 95584572 unique ideals
  1019. Tue Sep 17 12:45:49 2024 reduce to 117923468 relations and 90995971 ideals in 6 passes
  1020. Tue Sep 17 12:45:49 2024 max relations containing the same ideal: 144
  1021. Tue Sep 17 12:46:29 2024 removing 6192399 relations and 4192399 ideals in 2000000 cliques
  1022. Tue Sep 17 12:46:33 2024 commencing in-memory singleton removal
  1023. Tue Sep 17 12:46:35 2024 begin with 111731069 relations and 90995971 unique ideals
  1024. Tue Sep 17 12:46:41 2024 reduce to 111474271 relations and 86542701 ideals in 6 passes
  1025. Tue Sep 17 12:46:41 2024 max relations containing the same ideal: 140
  1026. Tue Sep 17 12:47:18 2024 removing 6099639 relations and 4099639 ideals in 2000000 cliques
  1027. Tue Sep 17 12:47:22 2024 commencing in-memory singleton removal
  1028. Tue Sep 17 12:47:24 2024 begin with 105374632 relations and 86542701 unique ideals
  1029. Tue Sep 17 12:47:30 2024 reduce to 105115202 relations and 82179461 ideals in 7 passes
  1030. Tue Sep 17 12:47:30 2024 max relations containing the same ideal: 136
  1031. Tue Sep 17 12:48:06 2024 removing 6033830 relations and 4033830 ideals in 2000000 cliques
  1032. Tue Sep 17 12:48:09 2024 commencing in-memory singleton removal
  1033. Tue Sep 17 12:48:11 2024 begin with 99081372 relations and 82179461 unique ideals
  1034. Tue Sep 17 12:48:16 2024 reduce to 98816615 relations and 77876158 ideals in 7 passes
  1035. Tue Sep 17 12:48:16 2024 max relations containing the same ideal: 129
  1036. Tue Sep 17 12:48:50 2024 removing 5995643 relations and 3995643 ideals in 2000000 cliques
  1037. Tue Sep 17 12:48:53 2024 commencing in-memory singleton removal
  1038. Tue Sep 17 12:48:55 2024 begin with 92820972 relations and 77876158 unique ideals
  1039. Tue Sep 17 12:49:01 2024 reduce to 92546673 relations and 73601108 ideals in 8 passes
  1040. Tue Sep 17 12:49:01 2024 max relations containing the same ideal: 125
  1041. Tue Sep 17 12:49:32 2024 removing 5972514 relations and 3972514 ideals in 2000000 cliques
  1042. Tue Sep 17 12:49:35 2024 commencing in-memory singleton removal
  1043. Tue Sep 17 12:49:36 2024 begin with 86574159 relations and 73601108 unique ideals
  1044. Tue Sep 17 12:49:42 2024 reduce to 86286621 relations and 69335455 ideals in 8 passes
  1045. Tue Sep 17 12:49:42 2024 max relations containing the same ideal: 122
  1046. Tue Sep 17 12:50:11 2024 removing 5974776 relations and 3974776 ideals in 2000000 cliques
  1047. Tue Sep 17 12:50:14 2024 commencing in-memory singleton removal
  1048. Tue Sep 17 12:50:15 2024 begin with 80311845 relations and 69335455 unique ideals
  1049. Tue Sep 17 12:50:19 2024 reduce to 80003779 relations and 65046111 ideals in 7 passes
  1050. Tue Sep 17 12:50:19 2024 max relations containing the same ideal: 114
  1051. Tue Sep 17 12:50:47 2024 removing 5988790 relations and 3988790 ideals in 2000000 cliques
  1052. Tue Sep 17 12:50:50 2024 commencing in-memory singleton removal
  1053. Tue Sep 17 12:50:51 2024 begin with 74014989 relations and 65046111 unique ideals
  1054. Tue Sep 17 12:50:55 2024 reduce to 73680792 relations and 60715858 ideals in 8 passes
  1055. Tue Sep 17 12:50:55 2024 max relations containing the same ideal: 107
  1056. Tue Sep 17 12:51:21 2024 removing 6023726 relations and 4023726 ideals in 2000000 cliques
  1057. Tue Sep 17 12:51:24 2024 commencing in-memory singleton removal
  1058. Tue Sep 17 12:51:25 2024 begin with 67657066 relations and 60715858 unique ideals
  1059. Tue Sep 17 12:51:29 2024 reduce to 67290052 relations and 56316392 ideals in 7 passes
  1060. Tue Sep 17 12:51:29 2024 max relations containing the same ideal: 99
  1061. Tue Sep 17 12:51:53 2024 removing 6082426 relations and 4082426 ideals in 2000000 cliques
  1062. Tue Sep 17 12:51:56 2024 commencing in-memory singleton removal
  1063. Tue Sep 17 12:51:57 2024 begin with 61207626 relations and 56316392 unique ideals
  1064. Tue Sep 17 12:52:00 2024 reduce to 60796537 relations and 51812324 ideals in 7 passes
  1065. Tue Sep 17 12:52:00 2024 max relations containing the same ideal: 92
  1066. Tue Sep 17 12:52:22 2024 removing 6167106 relations and 4167106 ideals in 2000000 cliques
  1067. Tue Sep 17 12:52:24 2024 commencing in-memory singleton removal
  1068. Tue Sep 17 12:52:25 2024 begin with 54629431 relations and 51812324 unique ideals
  1069. Tue Sep 17 12:52:28 2024 reduce to 54156857 relations and 47159426 ideals in 7 passes
  1070. Tue Sep 17 12:52:28 2024 max relations containing the same ideal: 85
  1071. Tue Sep 17 12:52:47 2024 removing 6284534 relations and 4284534 ideals in 2000000 cliques
  1072. Tue Sep 17 12:52:50 2024 commencing in-memory singleton removal
  1073. Tue Sep 17 12:52:50 2024 begin with 47872323 relations and 47159426 unique ideals
  1074. Tue Sep 17 12:52:53 2024 reduce to 47309520 relations and 42294242 ideals in 8 passes
  1075. Tue Sep 17 12:52:53 2024 max relations containing the same ideal: 79
  1076. Tue Sep 17 12:53:11 2024 removing 6452821 relations and 4452821 ideals in 2000000 cliques
  1077. Tue Sep 17 12:53:13 2024 commencing in-memory singleton removal
  1078. Tue Sep 17 12:53:14 2024 begin with 40856699 relations and 42294242 unique ideals
  1079. Tue Sep 17 12:53:16 2024 reduce to 40155441 relations and 37115009 ideals in 8 passes
  1080. Tue Sep 17 12:53:16 2024 max relations containing the same ideal: 72
  1081. Tue Sep 17 12:53:31 2024 removing 6110824 relations and 4324893 ideals in 1785931 cliques
  1082. Tue Sep 17 12:53:33 2024 commencing in-memory singleton removal
  1083. Tue Sep 17 12:53:34 2024 begin with 34044617 relations and 37115009 unique ideals
  1084. Tue Sep 17 12:53:36 2024 reduce to 33268505 relations and 31984165 ideals in 10 passes
  1085. Tue Sep 17 12:53:36 2024 max relations containing the same ideal: 62
  1086. Tue Sep 17 12:53:49 2024 removing 224597 relations and 194758 ideals in 29839 cliques
  1087. Tue Sep 17 12:53:50 2024 commencing in-memory singleton removal
  1088. Tue Sep 17 12:53:50 2024 begin with 33043908 relations and 31984165 unique ideals
  1089. Tue Sep 17 12:53:52 2024 reduce to 33042904 relations and 31788401 ideals in 6 passes
  1090. Tue Sep 17 12:53:52 2024 max relations containing the same ideal: 61
  1091. Tue Sep 17 12:53:55 2024 relations with 0 large ideals: 3640
  1092. Tue Sep 17 12:53:55 2024 relations with 1 large ideals: 26500
  1093. Tue Sep 17 12:53:55 2024 relations with 2 large ideals: 341040
  1094. Tue Sep 17 12:53:55 2024 relations with 3 large ideals: 1835228
  1095. Tue Sep 17 12:53:55 2024 relations with 4 large ideals: 5212498
  1096. Tue Sep 17 12:53:55 2024 relations with 5 large ideals: 8638916
  1097. Tue Sep 17 12:53:55 2024 relations with 6 large ideals: 8808035
  1098. Tue Sep 17 12:53:55 2024 relations with 7+ large ideals: 8177047
  1099. Tue Sep 17 12:53:55 2024 commencing 2-way merge
  1100. Tue Sep 17 12:54:14 2024 reduce to 20827243 relation sets and 19572740 unique ideals
  1101. Tue Sep 17 12:54:14 2024 commencing full merge
  1102. Tue Sep 17 13:00:08 2024 memory use: 2373.0 MB
  1103. Tue Sep 17 13:00:09 2024 found 8911911 cycles, need 8856940
  1104. Tue Sep 17 13:00:12 2024 weight of 8856940 cycles is about 1152001829 (130.07/cycle)
  1105. Tue Sep 17 13:00:12 2024 distribution of cycle lengths:
  1106. Tue Sep 17 13:00:12 2024 1 relations: 523234
  1107. Tue Sep 17 13:00:12 2024 2 relations: 526575
  1108. Tue Sep 17 13:00:12 2024 3 relations: 560748
  1109. Tue Sep 17 13:00:12 2024 4 relations: 571856
  1110. Tue Sep 17 13:00:12 2024 5 relations: 593658
  1111. Tue Sep 17 13:00:12 2024 6 relations: 599361
  1112. Tue Sep 17 13:00:12 2024 7 relations: 596204
  1113. Tue Sep 17 13:00:12 2024 8 relations: 578754
  1114. Tue Sep 17 13:00:12 2024 9 relations: 549795
  1115. Tue Sep 17 13:00:12 2024 10+ relations: 3756755
  1116. Tue Sep 17 13:00:12 2024 heaviest cycle: 28 relations
  1117. Tue Sep 17 13:00:14 2024 commencing cycle optimization
  1118. Tue Sep 17 13:00:29 2024 start with 81256715 relations
  1119. Tue Sep 17 13:02:59 2024 pruned 3918794 relations
  1120. Tue Sep 17 13:02:59 2024 memory use: 2170.5 MB
  1121. Tue Sep 17 13:02:59 2024 distribution of cycle lengths:
  1122. Tue Sep 17 13:02:59 2024 1 relations: 523234
  1123. Tue Sep 17 13:02:59 2024 2 relations: 540917
  1124. Tue Sep 17 13:02:59 2024 3 relations: 584697
  1125. Tue Sep 17 13:02:59 2024 4 relations: 596948
  1126. Tue Sep 17 13:02:59 2024 5 relations: 624748
  1127. Tue Sep 17 13:02:59 2024 6 relations: 630714
  1128. Tue Sep 17 13:02:59 2024 7 relations: 630498
  1129. Tue Sep 17 13:02:59 2024 8 relations: 610957
  1130. Tue Sep 17 13:02:59 2024 9 relations: 579555
  1131. Tue Sep 17 13:02:59 2024 10+ relations: 3534672
  1132. Tue Sep 17 13:02:59 2024 heaviest cycle: 28 relations
  1133. Tue Sep 17 13:03:10 2024 RelProcTime: 4777
  1134. Tue Sep 17 13:03:10 2024 elapsed time 01:19:38
  1135. Tue Sep 17 13:18:31 2024
  1136. Tue Sep 17 13:18:31 2024
  1137. Tue Sep 17 13:18:31 2024 Msieve v. 1.54 (SVN Unversioned directory)
  1138. Tue Sep 17 13:18:31 2024 random seeds: d5f1425f d3643495
  1139. Tue Sep 17 13:18:31 2024 MPI process 0 of 1
  1140. Tue Sep 17 13:18:31 2024 Using 64 OpenMP threads
  1141. Tue Sep 17 13:18:31 2024 factoring 3232699848095712102683078742225750656586485894578113393124759315150526264061327991270354790989531918241405950252196699606240737412083368666088842219662927923206244383602419 (172 digits)
  1142. Tue Sep 17 13:18:32 2024 searching for 15-digit factors
  1143. Tue Sep 17 13:18:33 2024 commencing number field sieve (172-digit input)
  1144. Tue Sep 17 13:18:33 2024 R0: -1773829007226394333517007468504529
  1145. Tue Sep 17 13:18:33 2024 R1: 359553315977506333
  1146. Tue Sep 17 13:18:33 2024 A0: 2888934351074508264992436328833226499352802080
  1147. Tue Sep 17 13:18:33 2024 A1: 34753312925644793408648255882985324108
  1148. Tue Sep 17 13:18:33 2024 A2: -850831577482513829114259784628
  1149. Tue Sep 17 13:18:33 2024 A3: -4432237890469177566685
  1150. Tue Sep 17 13:18:33 2024 A4: 29717894686576
  1151. Tue Sep 17 13:18:33 2024 A5: 184080
  1152. Tue Sep 17 13:18:33 2024 skew 132901262.48, size 8.392e-17, alpha -9.717, combined = 2.538e-13 rroots = 3
  1153. Tue Sep 17 13:18:33 2024
  1154. Tue Sep 17 13:18:33 2024 commencing linear algebra
  1155. Tue Sep 17 13:18:33 2024 using VBITS=256
  1156. Tue Sep 17 13:18:33 2024 initialized process (0,0) of 1 x 1 grid
  1157. Tue Sep 17 13:18:34 2024 read 8856940 cycles
  1158. Tue Sep 17 13:18:57 2024 cycles contain 32286444 unique relations
  1159. Tue Sep 17 13:22:43 2024 read 32286444 relations
  1160. Tue Sep 17 13:22:46 2024 using 20 quadratic characters above 4294917295
  1161. Tue Sep 17 13:22:50 2024 building initial matrix
  1162. Tue Sep 17 13:31:37 2024 memory use: 4463.3 MB
  1163. Tue Sep 17 13:31:47 2024 read 8856940 cycles
  1164. Tue Sep 17 13:31:49 2024 matrix is 8856760 x 8856940 (4457.2 MB) with weight 1380239773 (155.84/col)
  1165. Tue Sep 17 13:31:49 2024 sparse part has weight 1062144728 (119.92/col)
  1166. Tue Sep 17 13:34:09 2024 filtering completed in 2 passes
  1167. Tue Sep 17 13:34:11 2024 matrix is 8856305 x 8856485 (4457.1 MB) with weight 1380214368 (155.84/col)
  1168. Tue Sep 17 13:34:11 2024 sparse part has weight 1062136988 (119.93/col)
  1169. Tue Sep 17 13:35:13 2024 matrix starts at (0, 0)
  1170. Tue Sep 17 13:35:15 2024 matrix is 8856305 x 8856485 (4457.1 MB) with weight 1380214368 (155.84/col)
  1171. Tue Sep 17 13:35:15 2024 sparse part has weight 1062136988 (119.93/col)
  1172. Tue Sep 17 13:35:15 2024 saving the first 240 matrix rows for later
  1173. Tue Sep 17 13:35:18 2024 matrix includes 256 packed rows
  1174. Tue Sep 17 13:35:24 2024 matrix is 8856065 x 8856485 (4020.6 MB) with weight 975051399 (110.09/col)
  1175. Tue Sep 17 13:35:24 2024 sparse part has weight 912281171 (103.01/col)
  1176. Tue Sep 17 13:35:24 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  1177. Tue Sep 17 14:08:41 2024 commencing Lanczos iteration (64 threads)
  1178. Tue Sep 17 14:08:41 2024 memory use: 5681.2 MB
  1179. Tue Sep 17 14:09:59 2024 linear algebra at 0.3%, ETA 6h 9m
  1180. Tue Sep 17 14:11:53 2024 checking every 20000 dimensions, checkpointing every 1460000 dimensions
  1181. Tue Sep 17 20:20:36 2024 lanczos halted after 34699 iterations (dim = 8856064)
  1182. Tue Sep 17 20:21:13 2024 recovered 29 nontrivial dependencies
  1183. Tue Sep 17 20:21:14 2024 BLanczosTime: 25361
  1184. Tue Sep 17 20:21:14 2024
  1185. Tue Sep 17 20:21:14 2024 commencing square root phase
  1186. Tue Sep 17 20:21:14 2024 reading relations for dependency 1
  1187. Tue Sep 17 20:21:15 2024 read 4427998 cycles
  1188. Tue Sep 17 20:21:22 2024 cycles contain 16146144 unique relations
  1189. Tue Sep 17 20:24:46 2024 read 16146144 relations
  1190. Tue Sep 17 20:25:51 2024 multiplying 16146144 relations
  1191. Tue Sep 17 20:27:21 2024 multiply complete, coefficients have about 915.12 million bits
  1192. Tue Sep 17 20:27:23 2024 initial square root is modulo 162183403
  1193. Tue Sep 17 20:37:12 2024 sqrtTime: 958
  1194. Tue Sep 17 20:37:12 2024 p86 factor: 48939544189996468709367037376926430844268587626295988550363551396195224263410680979129
  1195. Tue Sep 17 20:37:12 2024 p86 factor: 66054964376977074619542831527108803665283269559067891428979092001609804044757746208011
  1196. Tue Sep 17 20:37:12 2024 elapsed time 07:18:41
  1197.  
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