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  1. Tue Dec 3 04:00:29 2024
  2. Tue Dec 3 04:00:29 2024
  3. Tue Dec 3 04:00:29 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 3 04:00:29 2024 random seeds: 3ee99ed8 17c71749
  5. Tue Dec 3 04:00:29 2024 MPI process 0 of 1
  6. Tue Dec 3 04:00:29 2024 factoring 15086001296024036675535121052781875904497608005198180575219593707559524969377824992015433177302419970663479730648740729024721559929866313114591962569912752709 (158 digits)
  7. Tue Dec 3 04:00:30 2024 searching for 15-digit factors
  8. Tue Dec 3 04:00:30 2024 commencing number field sieve (158-digit input)
  9. Tue Dec 3 04:00:30 2024 R0: -5003142824213700721398270350594
  10. Tue Dec 3 04:00:30 2024 R1: 14772585692277835855891
  11. Tue Dec 3 04:00:30 2024 A0: 14880026296017571530088085068321251615
  12. Tue Dec 3 04:00:30 2024 A1: -35209951382268029059551914102328
  13. Tue Dec 3 04:00:30 2024 A2: -4211416459340887027504386
  14. Tue Dec 3 04:00:30 2024 A3: -1881515080861995268
  15. Tue Dec 3 04:00:30 2024 A4: 70746842739
  16. Tue Dec 3 04:00:30 2024 A5: 4620
  17. Tue Dec 3 04:00:30 2024 skew 10985334.07, size 2.797e-15, alpha -5.979, combined = 2.113e-12 rroots = 3
  18. Tue Dec 3 04:00:30 2024
  19. Tue Dec 3 04:00:30 2024 commencing relation filtering
  20. Tue Dec 3 04:00:30 2024 setting target matrix density to 150.0
  21. Tue Dec 3 04:00:30 2024 estimated available RAM is 64046.8 MB
  22. Tue Dec 3 04:00:30 2024 commencing duplicate removal, pass 1
  23. Tue Dec 3 04:03:17 2024 error -15 reading relation 42253290
  24. Tue Dec 3 04:09:22 2024 error -9 reading relation 134557388
  25. Tue Dec 3 04:09:22 2024 error -15 reading relation 134580393
  26. Tue Dec 3 04:09:22 2024 skipped 1 relations with composite factors
  27. Tue Dec 3 04:09:22 2024 found 7773093 hash collisions in 134613814 relations
  28. Tue Dec 3 04:09:37 2024 added 122498 free relations
  29. Tue Dec 3 04:09:37 2024 commencing duplicate removal, pass 2
  30. Tue Dec 3 04:10:06 2024 found 2 duplicates and 134736310 unique relations
  31. Tue Dec 3 04:10:06 2024 memory use: 394.4 MB
  32. Tue Dec 3 04:10:06 2024 reading ideals above 720000
  33. Tue Dec 3 04:10:06 2024 commencing singleton removal, initial pass
  34. Tue Dec 3 04:18:35 2024 memory use: 2756.0 MB
  35. Tue Dec 3 04:18:35 2024 reading all ideals from disk
  36. Tue Dec 3 04:18:36 2024 memory use: 4976.8 MB
  37. Tue Dec 3 04:18:43 2024 keeping 96313752 ideals with weight <= 200, target excess is 706334
  38. Tue Dec 3 04:18:52 2024 commencing in-memory singleton removal
  39. Tue Dec 3 04:18:57 2024 begin with 134736310 relations and 96313752 unique ideals
  40. Tue Dec 3 04:19:36 2024 reduce to 109500539 relations and 69599486 ideals in 9 passes
  41. Tue Dec 3 04:19:36 2024 max relations containing the same ideal: 183
  42. Tue Dec 3 04:20:03 2024 removing 6653274 relations and 4653274 ideals in 2000000 cliques
  43. Tue Dec 3 04:20:04 2024 commencing in-memory singleton removal
  44. Tue Dec 3 04:20:08 2024 begin with 102847265 relations and 69599486 unique ideals
  45. Tue Dec 3 04:20:35 2024 reduce to 102494035 relations and 64584637 ideals in 7 passes
  46. Tue Dec 3 04:20:35 2024 max relations containing the same ideal: 176
  47. Tue Dec 3 04:21:00 2024 removing 5470960 relations and 3470960 ideals in 2000000 cliques
  48. Tue Dec 3 04:21:01 2024 commencing in-memory singleton removal
  49. Tue Dec 3 04:21:04 2024 begin with 97023075 relations and 64584637 unique ideals
  50. Tue Dec 3 04:21:26 2024 reduce to 96798557 relations and 60884611 ideals in 6 passes
  51. Tue Dec 3 04:21:26 2024 max relations containing the same ideal: 170
  52. Tue Dec 3 04:21:50 2024 removing 5166061 relations and 3166061 ideals in 2000000 cliques
  53. Tue Dec 3 04:21:51 2024 commencing in-memory singleton removal
  54. Tue Dec 3 04:21:54 2024 begin with 91632496 relations and 60884611 unique ideals
  55. Tue Dec 3 04:22:18 2024 reduce to 91448197 relations and 57530635 ideals in 7 passes
  56. Tue Dec 3 04:22:18 2024 max relations containing the same ideal: 167
  57. Tue Dec 3 04:22:40 2024 removing 4995569 relations and 2995569 ideals in 2000000 cliques
  58. Tue Dec 3 04:22:42 2024 commencing in-memory singleton removal
  59. Tue Dec 3 04:22:45 2024 begin with 86452628 relations and 57530635 unique ideals
  60. Tue Dec 3 04:23:01 2024 reduce to 86288664 relations and 54367839 ideals in 5 passes
  61. Tue Dec 3 04:23:01 2024 max relations containing the same ideal: 164
  62. Tue Dec 3 04:23:22 2024 removing 4883105 relations and 2883105 ideals in 2000000 cliques
  63. Tue Dec 3 04:23:23 2024 commencing in-memory singleton removal
  64. Tue Dec 3 04:23:26 2024 begin with 81405559 relations and 54367839 unique ideals
  65. Tue Dec 3 04:23:44 2024 reduce to 81254203 relations and 51330221 ideals in 6 passes
  66. Tue Dec 3 04:23:44 2024 max relations containing the same ideal: 159
  67. Tue Dec 3 04:24:04 2024 removing 4797842 relations and 2797842 ideals in 2000000 cliques
  68. Tue Dec 3 04:24:05 2024 commencing in-memory singleton removal
  69. Tue Dec 3 04:24:08 2024 begin with 76456361 relations and 51330221 unique ideals
  70. Tue Dec 3 04:24:22 2024 reduce to 76312181 relations and 48385156 ideals in 5 passes
  71. Tue Dec 3 04:24:22 2024 max relations containing the same ideal: 149
  72. Tue Dec 3 04:24:40 2024 removing 4731183 relations and 2731183 ideals in 2000000 cliques
  73. Tue Dec 3 04:24:41 2024 commencing in-memory singleton removal
  74. Tue Dec 3 04:24:44 2024 begin with 71580998 relations and 48385156 unique ideals
  75. Tue Dec 3 04:24:57 2024 reduce to 71440552 relations and 45510452 ideals in 5 passes
  76. Tue Dec 3 04:24:57 2024 max relations containing the same ideal: 140
  77. Tue Dec 3 04:25:14 2024 removing 4675696 relations and 2675696 ideals in 2000000 cliques
  78. Tue Dec 3 04:25:15 2024 commencing in-memory singleton removal
  79. Tue Dec 3 04:25:17 2024 begin with 66764856 relations and 45510452 unique ideals
  80. Tue Dec 3 04:25:29 2024 reduce to 66626631 relations and 42693338 ideals in 5 passes
  81. Tue Dec 3 04:25:29 2024 max relations containing the same ideal: 132
  82. Tue Dec 3 04:25:45 2024 removing 4628543 relations and 2628543 ideals in 2000000 cliques
  83. Tue Dec 3 04:25:46 2024 commencing in-memory singleton removal
  84. Tue Dec 3 04:25:48 2024 begin with 61998088 relations and 42693338 unique ideals
  85. Tue Dec 3 04:26:00 2024 reduce to 61859246 relations and 39922595 ideals in 5 passes
  86. Tue Dec 3 04:26:00 2024 max relations containing the same ideal: 127
  87. Tue Dec 3 04:26:14 2024 removing 4588328 relations and 2588328 ideals in 2000000 cliques
  88. Tue Dec 3 04:26:15 2024 commencing in-memory singleton removal
  89. Tue Dec 3 04:26:17 2024 begin with 57270918 relations and 39922595 unique ideals
  90. Tue Dec 3 04:26:27 2024 reduce to 57128652 relations and 37188547 ideals in 5 passes
  91. Tue Dec 3 04:26:27 2024 max relations containing the same ideal: 121
  92. Tue Dec 3 04:26:41 2024 removing 4554705 relations and 2554705 ideals in 2000000 cliques
  93. Tue Dec 3 04:26:42 2024 commencing in-memory singleton removal
  94. Tue Dec 3 04:26:44 2024 begin with 52573947 relations and 37188547 unique ideals
  95. Tue Dec 3 04:26:53 2024 reduce to 52427050 relations and 34483046 ideals in 5 passes
  96. Tue Dec 3 04:26:53 2024 max relations containing the same ideal: 114
  97. Tue Dec 3 04:27:05 2024 removing 4522927 relations and 2522927 ideals in 2000000 cliques
  98. Tue Dec 3 04:27:06 2024 commencing in-memory singleton removal
  99. Tue Dec 3 04:27:08 2024 begin with 47904123 relations and 34483046 unique ideals
  100. Tue Dec 3 04:27:16 2024 reduce to 47751738 relations and 31803404 ideals in 5 passes
  101. Tue Dec 3 04:27:16 2024 max relations containing the same ideal: 110
  102. Tue Dec 3 04:27:27 2024 removing 4498006 relations and 2498006 ideals in 2000000 cliques
  103. Tue Dec 3 04:27:28 2024 commencing in-memory singleton removal
  104. Tue Dec 3 04:27:30 2024 begin with 43253732 relations and 31803404 unique ideals
  105. Tue Dec 3 04:27:37 2024 reduce to 43090958 relations and 29137839 ideals in 5 passes
  106. Tue Dec 3 04:27:37 2024 max relations containing the same ideal: 101
  107. Tue Dec 3 04:27:47 2024 removing 4477903 relations and 2477903 ideals in 2000000 cliques
  108. Tue Dec 3 04:27:48 2024 commencing in-memory singleton removal
  109. Tue Dec 3 04:27:49 2024 begin with 38613055 relations and 29137839 unique ideals
  110. Tue Dec 3 04:27:56 2024 reduce to 38437721 relations and 26479071 ideals in 5 passes
  111. Tue Dec 3 04:27:56 2024 max relations containing the same ideal: 93
  112. Tue Dec 3 04:28:05 2024 removing 4461514 relations and 2461514 ideals in 2000000 cliques
  113. Tue Dec 3 04:28:06 2024 commencing in-memory singleton removal
  114. Tue Dec 3 04:28:07 2024 begin with 33976207 relations and 26479071 unique ideals
  115. Tue Dec 3 04:28:14 2024 reduce to 33782573 relations and 23817192 ideals in 6 passes
  116. Tue Dec 3 04:28:14 2024 max relations containing the same ideal: 84
  117. Tue Dec 3 04:28:21 2024 removing 4448305 relations and 2448305 ideals in 2000000 cliques
  118. Tue Dec 3 04:28:22 2024 commencing in-memory singleton removal
  119. Tue Dec 3 04:28:23 2024 begin with 29334268 relations and 23817192 unique ideals
  120. Tue Dec 3 04:28:28 2024 reduce to 29114723 relations and 21140956 ideals in 5 passes
  121. Tue Dec 3 04:28:28 2024 max relations containing the same ideal: 78
  122. Tue Dec 3 04:28:35 2024 removing 4442087 relations and 2442087 ideals in 2000000 cliques
  123. Tue Dec 3 04:28:36 2024 commencing in-memory singleton removal
  124. Tue Dec 3 04:28:36 2024 begin with 24672636 relations and 21140956 unique ideals
  125. Tue Dec 3 04:28:41 2024 reduce to 24416760 relations and 18432097 ideals in 6 passes
  126. Tue Dec 3 04:28:41 2024 max relations containing the same ideal: 69
  127. Tue Dec 3 04:28:47 2024 removing 4439590 relations and 2439590 ideals in 2000000 cliques
  128. Tue Dec 3 04:28:48 2024 commencing in-memory singleton removal
  129. Tue Dec 3 04:28:48 2024 begin with 19977170 relations and 18432097 unique ideals
  130. Tue Dec 3 04:28:52 2024 reduce to 19669478 relations and 15669010 ideals in 6 passes
  131. Tue Dec 3 04:28:52 2024 max relations containing the same ideal: 63
  132. Tue Dec 3 04:28:57 2024 removing 4449045 relations and 2449045 ideals in 2000000 cliques
  133. Tue Dec 3 04:28:58 2024 commencing in-memory singleton removal
  134. Tue Dec 3 04:28:58 2024 begin with 15220433 relations and 15669010 unique ideals
  135. Tue Dec 3 04:29:01 2024 reduce to 14825817 relations and 12800216 ideals in 7 passes
  136. Tue Dec 3 04:29:01 2024 max relations containing the same ideal: 51
  137. Tue Dec 3 04:29:05 2024 removing 2822442 relations and 1616189 ideals in 1206253 cliques
  138. Tue Dec 3 04:29:05 2024 commencing in-memory singleton removal
  139. Tue Dec 3 04:29:06 2024 begin with 12003375 relations and 12800216 unique ideals
  140. Tue Dec 3 04:29:08 2024 reduce to 11602630 relations and 10755909 ideals in 7 passes
  141. Tue Dec 3 04:29:08 2024 max relations containing the same ideal: 45
  142. Tue Dec 3 04:29:11 2024 removing 133042 relations and 105669 ideals in 27373 cliques
  143. Tue Dec 3 04:29:11 2024 commencing in-memory singleton removal
  144. Tue Dec 3 04:29:12 2024 begin with 11469588 relations and 10755909 unique ideals
  145. Tue Dec 3 04:29:13 2024 reduce to 11467627 relations and 10648270 ideals in 5 passes
  146. Tue Dec 3 04:29:13 2024 max relations containing the same ideal: 44
  147. Tue Dec 3 04:29:14 2024 relations with 0 large ideals: 2227
  148. Tue Dec 3 04:29:14 2024 relations with 1 large ideals: 35330
  149. Tue Dec 3 04:29:14 2024 relations with 2 large ideals: 354068
  150. Tue Dec 3 04:29:14 2024 relations with 3 large ideals: 1359407
  151. Tue Dec 3 04:29:14 2024 relations with 4 large ideals: 2682102
  152. Tue Dec 3 04:29:14 2024 relations with 5 large ideals: 3122703
  153. Tue Dec 3 04:29:14 2024 relations with 6 large ideals: 2348422
  154. Tue Dec 3 04:29:14 2024 relations with 7+ large ideals: 1563368
  155. Tue Dec 3 04:29:14 2024 commencing 2-way merge
  156. Tue Dec 3 04:29:18 2024 reduce to 8861057 relation sets and 8041700 unique ideals
  157. Tue Dec 3 04:29:18 2024 commencing full merge
  158. Tue Dec 3 04:31:55 2024 memory use: 382.7 MB
  159. Tue Dec 3 04:31:55 2024 found 42650 cycles, need 2173534
  160. Tue Dec 3 04:31:55 2024 too few cycles, matrix probably cannot build
  161. Tue Dec 3 04:31:56 2024 filtering wants 1000000 more relations
  162. Tue Dec 3 04:31:56 2024 elapsed time 00:31:27
  163. Tue Dec 3 04:31:56 2024
  164. Tue Dec 3 04:31:56 2024
  165. Tue Dec 3 04:31:56 2024 Msieve v. 1.54 (SVN Unversioned directory)
  166. Tue Dec 3 04:31:56 2024 random seeds: b5867c6f e5b40ce9
  167. Tue Dec 3 04:31:56 2024 MPI process 0 of 1
  168. Tue Dec 3 04:31:56 2024 factoring 15086001296024036675535121052781875904497608005198180575219593707559524969377824992015433177302419970663479730648740729024721559929866313114591962569912752709 (158 digits)
  169. Tue Dec 3 04:31:56 2024 searching for 15-digit factors
  170. Tue Dec 3 04:31:56 2024 commencing number field sieve (158-digit input)
  171. Tue Dec 3 04:31:56 2024 R0: -5003142824213700721398270350594
  172. Tue Dec 3 04:31:56 2024 R1: 14772585692277835855891
  173. Tue Dec 3 04:31:56 2024 A0: 14880026296017571530088085068321251615
  174. Tue Dec 3 04:31:56 2024 A1: -35209951382268029059551914102328
  175. Tue Dec 3 04:31:56 2024 A2: -4211416459340887027504386
  176. Tue Dec 3 04:31:56 2024 A3: -1881515080861995268
  177. Tue Dec 3 04:31:56 2024 A4: 70746842739
  178. Tue Dec 3 04:31:56 2024 A5: 4620
  179. Tue Dec 3 04:31:56 2024 skew 10985334.07, size 2.797e-15, alpha -5.979, combined = 2.113e-12 rroots = 3
  180. Tue Dec 3 04:31:56 2024
  181. Tue Dec 3 04:31:56 2024 commencing relation filtering
  182. Tue Dec 3 04:31:56 2024 setting target matrix density to 140.0
  183. Tue Dec 3 04:31:56 2024 estimated available RAM is 64046.8 MB
  184. Tue Dec 3 04:31:56 2024 commencing duplicate removal, pass 1
  185. Tue Dec 3 04:34:42 2024 error -15 reading relation 42253290
  186. Tue Dec 3 04:40:46 2024 error -9 reading relation 134557388
  187. Tue Dec 3 04:40:46 2024 error -15 reading relation 134580393
  188. Tue Dec 3 04:40:47 2024 skipped 1 relations with composite factors
  189. Tue Dec 3 04:40:47 2024 found 7786644 hash collisions in 134736312 relations
  190. Tue Dec 3 04:41:02 2024 commencing duplicate removal, pass 2
  191. Tue Dec 3 04:41:29 2024 found 2 duplicates and 134736310 unique relations
  192. Tue Dec 3 04:41:29 2024 memory use: 394.4 MB
  193. Tue Dec 3 04:41:29 2024 reading ideals above 720000
  194. Tue Dec 3 04:41:29 2024 commencing singleton removal, initial pass
  195. Tue Dec 3 04:49:56 2024 memory use: 2756.0 MB
  196. Tue Dec 3 04:49:57 2024 reading all ideals from disk
  197. Tue Dec 3 04:49:59 2024 memory use: 4976.8 MB
  198. Tue Dec 3 04:50:05 2024 keeping 96313752 ideals with weight <= 200, target excess is 706334
  199. Tue Dec 3 04:50:14 2024 commencing in-memory singleton removal
  200. Tue Dec 3 04:50:19 2024 begin with 134736310 relations and 96313752 unique ideals
  201. Tue Dec 3 04:50:58 2024 reduce to 109500539 relations and 69599486 ideals in 9 passes
  202. Tue Dec 3 04:50:58 2024 max relations containing the same ideal: 183
  203. Tue Dec 3 04:51:23 2024 removing 6653274 relations and 4653274 ideals in 2000000 cliques
  204. Tue Dec 3 04:51:25 2024 commencing in-memory singleton removal
  205. Tue Dec 3 04:51:28 2024 begin with 102847265 relations and 69599486 unique ideals
  206. Tue Dec 3 04:51:55 2024 reduce to 102494035 relations and 64584637 ideals in 7 passes
  207. Tue Dec 3 04:51:55 2024 max relations containing the same ideal: 176
  208. Tue Dec 3 04:52:19 2024 removing 5470960 relations and 3470960 ideals in 2000000 cliques
  209. Tue Dec 3 04:52:21 2024 commencing in-memory singleton removal
  210. Tue Dec 3 04:52:24 2024 begin with 97023075 relations and 64584637 unique ideals
  211. Tue Dec 3 04:52:46 2024 reduce to 96798557 relations and 60884611 ideals in 6 passes
  212. Tue Dec 3 04:52:46 2024 max relations containing the same ideal: 170
  213. Tue Dec 3 04:53:08 2024 removing 5166061 relations and 3166061 ideals in 2000000 cliques
  214. Tue Dec 3 04:53:10 2024 commencing in-memory singleton removal
  215. Tue Dec 3 04:53:13 2024 begin with 91632496 relations and 60884611 unique ideals
  216. Tue Dec 3 04:53:36 2024 reduce to 91448197 relations and 57530635 ideals in 7 passes
  217. Tue Dec 3 04:53:36 2024 max relations containing the same ideal: 167
  218. Tue Dec 3 04:53:58 2024 removing 4995569 relations and 2995569 ideals in 2000000 cliques
  219. Tue Dec 3 04:53:59 2024 commencing in-memory singleton removal
  220. Tue Dec 3 04:54:02 2024 begin with 86452628 relations and 57530635 unique ideals
  221. Tue Dec 3 04:54:18 2024 reduce to 86288664 relations and 54367839 ideals in 5 passes
  222. Tue Dec 3 04:54:18 2024 max relations containing the same ideal: 164
  223. Tue Dec 3 04:54:39 2024 removing 4883105 relations and 2883105 ideals in 2000000 cliques
  224. Tue Dec 3 04:54:40 2024 commencing in-memory singleton removal
  225. Tue Dec 3 04:54:43 2024 begin with 81405559 relations and 54367839 unique ideals
  226. Tue Dec 3 04:55:00 2024 reduce to 81254203 relations and 51330221 ideals in 6 passes
  227. Tue Dec 3 04:55:00 2024 max relations containing the same ideal: 159
  228. Tue Dec 3 04:55:20 2024 removing 4797842 relations and 2797842 ideals in 2000000 cliques
  229. Tue Dec 3 04:55:21 2024 commencing in-memory singleton removal
  230. Tue Dec 3 04:55:23 2024 begin with 76456361 relations and 51330221 unique ideals
  231. Tue Dec 3 04:55:37 2024 reduce to 76312181 relations and 48385156 ideals in 5 passes
  232. Tue Dec 3 04:55:37 2024 max relations containing the same ideal: 149
  233. Tue Dec 3 04:55:55 2024 removing 4731183 relations and 2731183 ideals in 2000000 cliques
  234. Tue Dec 3 04:55:56 2024 commencing in-memory singleton removal
  235. Tue Dec 3 04:55:59 2024 begin with 71580998 relations and 48385156 unique ideals
  236. Tue Dec 3 04:56:12 2024 reduce to 71440552 relations and 45510452 ideals in 5 passes
  237. Tue Dec 3 04:56:12 2024 max relations containing the same ideal: 140
  238. Tue Dec 3 04:56:28 2024 removing 4675696 relations and 2675696 ideals in 2000000 cliques
  239. Tue Dec 3 04:56:29 2024 commencing in-memory singleton removal
  240. Tue Dec 3 04:56:32 2024 begin with 66764856 relations and 45510452 unique ideals
  241. Tue Dec 3 04:56:44 2024 reduce to 66626631 relations and 42693338 ideals in 5 passes
  242. Tue Dec 3 04:56:44 2024 max relations containing the same ideal: 132
  243. Tue Dec 3 04:56:59 2024 removing 4628543 relations and 2628543 ideals in 2000000 cliques
  244. Tue Dec 3 04:57:00 2024 commencing in-memory singleton removal
  245. Tue Dec 3 04:57:02 2024 begin with 61998088 relations and 42693338 unique ideals
  246. Tue Dec 3 04:57:13 2024 reduce to 61859246 relations and 39922595 ideals in 5 passes
  247. Tue Dec 3 04:57:13 2024 max relations containing the same ideal: 127
  248. Tue Dec 3 04:57:28 2024 removing 4588328 relations and 2588328 ideals in 2000000 cliques
  249. Tue Dec 3 04:57:29 2024 commencing in-memory singleton removal
  250. Tue Dec 3 04:57:31 2024 begin with 57270918 relations and 39922595 unique ideals
  251. Tue Dec 3 04:57:41 2024 reduce to 57128652 relations and 37188547 ideals in 5 passes
  252. Tue Dec 3 04:57:41 2024 max relations containing the same ideal: 121
  253. Tue Dec 3 04:57:54 2024 removing 4554705 relations and 2554705 ideals in 2000000 cliques
  254. Tue Dec 3 04:57:55 2024 commencing in-memory singleton removal
  255. Tue Dec 3 04:57:57 2024 begin with 52573947 relations and 37188547 unique ideals
  256. Tue Dec 3 04:58:06 2024 reduce to 52427050 relations and 34483046 ideals in 5 passes
  257. Tue Dec 3 04:58:06 2024 max relations containing the same ideal: 114
  258. Tue Dec 3 04:58:18 2024 removing 4522927 relations and 2522927 ideals in 2000000 cliques
  259. Tue Dec 3 04:58:19 2024 commencing in-memory singleton removal
  260. Tue Dec 3 04:58:21 2024 begin with 47904123 relations and 34483046 unique ideals
  261. Tue Dec 3 04:58:29 2024 reduce to 47751738 relations and 31803404 ideals in 5 passes
  262. Tue Dec 3 04:58:29 2024 max relations containing the same ideal: 110
  263. Tue Dec 3 04:58:40 2024 removing 4498006 relations and 2498006 ideals in 2000000 cliques
  264. Tue Dec 3 04:58:41 2024 commencing in-memory singleton removal
  265. Tue Dec 3 04:58:42 2024 begin with 43253732 relations and 31803404 unique ideals
  266. Tue Dec 3 04:58:50 2024 reduce to 43090958 relations and 29137839 ideals in 5 passes
  267. Tue Dec 3 04:58:50 2024 max relations containing the same ideal: 101
  268. Tue Dec 3 04:58:59 2024 removing 4477903 relations and 2477903 ideals in 2000000 cliques
  269. Tue Dec 3 04:59:00 2024 commencing in-memory singleton removal
  270. Tue Dec 3 04:59:02 2024 begin with 38613055 relations and 29137839 unique ideals
  271. Tue Dec 3 04:59:08 2024 reduce to 38437721 relations and 26479071 ideals in 5 passes
  272. Tue Dec 3 04:59:08 2024 max relations containing the same ideal: 93
  273. Tue Dec 3 04:59:17 2024 removing 4461514 relations and 2461514 ideals in 2000000 cliques
  274. Tue Dec 3 04:59:18 2024 commencing in-memory singleton removal
  275. Tue Dec 3 04:59:19 2024 begin with 33976207 relations and 26479071 unique ideals
  276. Tue Dec 3 04:59:26 2024 reduce to 33782573 relations and 23817192 ideals in 6 passes
  277. Tue Dec 3 04:59:26 2024 max relations containing the same ideal: 84
  278. Tue Dec 3 04:59:33 2024 removing 4448305 relations and 2448305 ideals in 2000000 cliques
  279. Tue Dec 3 04:59:34 2024 commencing in-memory singleton removal
  280. Tue Dec 3 04:59:35 2024 begin with 29334268 relations and 23817192 unique ideals
  281. Tue Dec 3 04:59:40 2024 reduce to 29114723 relations and 21140956 ideals in 5 passes
  282. Tue Dec 3 04:59:40 2024 max relations containing the same ideal: 78
  283. Tue Dec 3 04:59:47 2024 removing 4442087 relations and 2442087 ideals in 2000000 cliques
  284. Tue Dec 3 04:59:48 2024 commencing in-memory singleton removal
  285. Tue Dec 3 04:59:48 2024 begin with 24672636 relations and 21140956 unique ideals
  286. Tue Dec 3 04:59:53 2024 reduce to 24416760 relations and 18432097 ideals in 6 passes
  287. Tue Dec 3 04:59:53 2024 max relations containing the same ideal: 69
  288. Tue Dec 3 04:59:59 2024 removing 4439590 relations and 2439590 ideals in 2000000 cliques
  289. Tue Dec 3 04:59:59 2024 commencing in-memory singleton removal
  290. Tue Dec 3 05:00:00 2024 begin with 19977170 relations and 18432097 unique ideals
  291. Tue Dec 3 05:00:04 2024 reduce to 19669478 relations and 15669010 ideals in 6 passes
  292. Tue Dec 3 05:00:04 2024 max relations containing the same ideal: 63
  293. Tue Dec 3 05:00:08 2024 removing 4449045 relations and 2449045 ideals in 2000000 cliques
  294. Tue Dec 3 05:00:09 2024 commencing in-memory singleton removal
  295. Tue Dec 3 05:00:10 2024 begin with 15220433 relations and 15669010 unique ideals
  296. Tue Dec 3 05:00:13 2024 reduce to 14825817 relations and 12800216 ideals in 7 passes
  297. Tue Dec 3 05:00:13 2024 max relations containing the same ideal: 51
  298. Tue Dec 3 05:00:16 2024 removing 2822442 relations and 1616189 ideals in 1206253 cliques
  299. Tue Dec 3 05:00:17 2024 commencing in-memory singleton removal
  300. Tue Dec 3 05:00:17 2024 begin with 12003375 relations and 12800216 unique ideals
  301. Tue Dec 3 05:00:20 2024 reduce to 11602630 relations and 10755909 ideals in 7 passes
  302. Tue Dec 3 05:00:20 2024 max relations containing the same ideal: 45
  303. Tue Dec 3 05:00:23 2024 removing 133042 relations and 105669 ideals in 27373 cliques
  304. Tue Dec 3 05:00:23 2024 commencing in-memory singleton removal
  305. Tue Dec 3 05:00:23 2024 begin with 11469588 relations and 10755909 unique ideals
  306. Tue Dec 3 05:00:25 2024 reduce to 11467627 relations and 10648270 ideals in 5 passes
  307. Tue Dec 3 05:00:25 2024 max relations containing the same ideal: 44
  308. Tue Dec 3 05:00:26 2024 relations with 0 large ideals: 2227
  309. Tue Dec 3 05:00:26 2024 relations with 1 large ideals: 35330
  310. Tue Dec 3 05:00:26 2024 relations with 2 large ideals: 354068
  311. Tue Dec 3 05:00:26 2024 relations with 3 large ideals: 1359407
  312. Tue Dec 3 05:00:26 2024 relations with 4 large ideals: 2682102
  313. Tue Dec 3 05:00:26 2024 relations with 5 large ideals: 3122703
  314. Tue Dec 3 05:00:26 2024 relations with 6 large ideals: 2348422
  315. Tue Dec 3 05:00:26 2024 relations with 7+ large ideals: 1563368
  316. Tue Dec 3 05:00:26 2024 commencing 2-way merge
  317. Tue Dec 3 05:00:29 2024 reduce to 8861057 relation sets and 8041700 unique ideals
  318. Tue Dec 3 05:00:29 2024 commencing full merge
  319. Tue Dec 3 05:02:09 2024 memory use: 916.8 MB
  320. Tue Dec 3 05:02:09 2024 found 3586467 cycles, need 3583900
  321. Tue Dec 3 05:02:10 2024 weight of 3583900 cycles is about 501953609 (140.06/cycle)
  322. Tue Dec 3 05:02:10 2024 distribution of cycle lengths:
  323. Tue Dec 3 05:02:10 2024 1 relations: 41611
  324. Tue Dec 3 05:02:10 2024 2 relations: 148367
  325. Tue Dec 3 05:02:10 2024 3 relations: 215429
  326. Tue Dec 3 05:02:10 2024 4 relations: 248515
  327. Tue Dec 3 05:02:10 2024 5 relations: 273771
  328. Tue Dec 3 05:02:10 2024 6 relations: 277852
  329. Tue Dec 3 05:02:10 2024 7 relations: 270914
  330. Tue Dec 3 05:02:10 2024 8 relations: 254191
  331. Tue Dec 3 05:02:10 2024 9 relations: 235995
  332. Tue Dec 3 05:02:10 2024 10+ relations: 1617255
  333. Tue Dec 3 05:02:10 2024 heaviest cycle: 28 relations
  334. Tue Dec 3 05:02:11 2024 commencing cycle optimization
  335. Tue Dec 3 05:02:15 2024 start with 35841830 relations
  336. Tue Dec 3 05:03:09 2024 pruned 2726648 relations
  337. Tue Dec 3 05:03:09 2024 memory use: 834.1 MB
  338. Tue Dec 3 05:03:09 2024 distribution of cycle lengths:
  339. Tue Dec 3 05:03:09 2024 1 relations: 41611
  340. Tue Dec 3 05:03:09 2024 2 relations: 154345
  341. Tue Dec 3 05:03:09 2024 3 relations: 229001
  342. Tue Dec 3 05:03:09 2024 4 relations: 267048
  343. Tue Dec 3 05:03:09 2024 5 relations: 297984
  344. Tue Dec 3 05:03:09 2024 6 relations: 302720
  345. Tue Dec 3 05:03:09 2024 7 relations: 297104
  346. Tue Dec 3 05:03:09 2024 8 relations: 276291
  347. Tue Dec 3 05:03:09 2024 9 relations: 254977
  348. Tue Dec 3 05:03:09 2024 10+ relations: 1462819
  349. Tue Dec 3 05:03:09 2024 heaviest cycle: 28 relations
  350. Tue Dec 3 05:03:12 2024 RelProcTime: 1876
  351. Tue Dec 3 05:03:12 2024
  352. Tue Dec 3 05:03:12 2024 commencing linear algebra
  353. Tue Dec 3 05:03:12 2024 initialized process (0,0) of 1 x 1 grid
  354. Tue Dec 3 05:03:12 2024 read 3583900 cycles
  355. Tue Dec 3 05:03:16 2024 cycles contain 11124208 unique relations
  356. Tue Dec 3 05:03:48 2024 read 11124208 relations
  357. Tue Dec 3 05:04:04 2024 using 20 quadratic characters above 4294917295
  358. Tue Dec 3 05:04:38 2024 building initial matrix
  359. Tue Dec 3 05:06:18 2024 memory use: 1574.2 MB
  360. Tue Dec 3 05:06:20 2024 read 3583900 cycles
  361. Tue Dec 3 05:06:20 2024 matrix is 3583721 x 3583900 (1849.7 MB) with weight 560280829 (156.33/col)
  362. Tue Dec 3 05:06:20 2024 sparse part has weight 445472051 (124.30/col)
  363. Tue Dec 3 05:06:46 2024 filtering completed in 2 passes
  364. Tue Dec 3 05:06:46 2024 matrix is 3583667 x 3583846 (1849.7 MB) with weight 560277966 (156.33/col)
  365. Tue Dec 3 05:06:46 2024 sparse part has weight 445471049 (124.30/col)
  366. Tue Dec 3 05:07:03 2024 matrix starts at (0, 0)
  367. Tue Dec 3 05:07:03 2024 matrix is 3583667 x 3583846 (1849.7 MB) with weight 560277966 (156.33/col)
  368. Tue Dec 3 05:07:03 2024 sparse part has weight 445471049 (124.30/col)
  369. Tue Dec 3 05:07:03 2024 saving the first 240 matrix rows for later
  370. Tue Dec 3 05:07:03 2024 matrix includes 256 packed rows
  371. Tue Dec 3 05:07:04 2024 matrix is 3583427 x 3583846 (1649.9 MB) with weight 401610429 (112.06/col)
  372. Tue Dec 3 05:07:04 2024 sparse part has weight 375178772 (104.69/col)
  373. Tue Dec 3 05:07:04 2024 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  374. Tue Dec 3 05:07:10 2024 commencing Lanczos iteration (8 threads)
  375. Tue Dec 3 05:07:10 2024 memory use: 2301.9 MB
  376. Tue Dec 3 05:07:17 2024 linear algebra at 0.0%, ETA 3h54m
  377. Tue Dec 3 05:07:18 2024 checkpointing every 1050000 dimensions
  378. Tue Dec 3 08:27:03 2024 lanczos halted after 14041 iterations (dim = 3583427)
  379. Tue Dec 3 08:27:12 2024 recovered 32 nontrivial dependencies
  380. Tue Dec 3 08:27:12 2024 BLanczosTime: 12240
  381. Tue Dec 3 08:27:12 2024
  382. Tue Dec 3 08:27:12 2024 commencing square root phase
  383. Tue Dec 3 08:27:12 2024 handling dependencies 1 to 64
  384. Tue Dec 3 08:27:12 2024 reading relations for dependency 1
  385. Tue Dec 3 08:27:12 2024 read 1792089 cycles
  386. Tue Dec 3 08:27:14 2024 cycles contain 5561640 unique relations
  387. Tue Dec 3 08:27:34 2024 read 5561640 relations
  388. Tue Dec 3 08:27:47 2024 multiplying 5561640 relations
  389. Tue Dec 3 08:29:56 2024 multiply complete, coefficients have about 271.46 million bits
  390. Tue Dec 3 08:29:56 2024 initial square root is modulo 74323
  391. Tue Dec 3 08:32:51 2024 GCD is 1, no factor found
  392. Tue Dec 3 08:32:51 2024 reading relations for dependency 2
  393. Tue Dec 3 08:32:51 2024 read 1791114 cycles
  394. Tue Dec 3 08:32:55 2024 cycles contain 5560586 unique relations
  395. Tue Dec 3 08:33:30 2024 read 5560586 relations
  396. Tue Dec 3 08:33:56 2024 multiplying 5560586 relations
  397. Tue Dec 3 08:38:32 2024 multiply complete, coefficients have about 271.42 million bits
  398. Tue Dec 3 08:38:33 2024 initial square root is modulo 74189
  399. Tue Dec 3 08:44:12 2024 sqrtTime: 1020
  400. Tue Dec 3 08:44:12 2024 p70 factor: 3317092898754346068726338090983393856048102671167172392916055032716637
  401. Tue Dec 3 08:44:12 2024 p88 factor: 4547958636217037885797191964963294313031940758889457719189498571602828033420371029621257
  402. Tue Dec 3 08:44:12 2024 elapsed time 04:12:16
  403.  
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