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5m4_413

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Apr 13th, 2019
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  1. Wed Apr 10 21:09:08 2019
  2. Wed Apr 10 21:09:08 2019
  3. Wed Apr 10 21:09:08 2019 Msieve v. 1.53 (SVN 988M)
  4. Wed Apr 10 21:09:08 2019 random seeds: e5ebb836 e1c18f23
  5. Wed Apr 10 21:09:08 2019 factoring 22297559184967044539969978853341661720088866726337494688324636622660615595573947203928261459872549657300780449079291624609025124614078443014549797873202527030964094707358217611 (176 digits)
  6. Wed Apr 10 21:09:09 2019 searching for 15-digit factors
  7. Wed Apr 10 21:09:10 2019 commencing number field sieve (176-digit input)
  8. Wed Apr 10 21:09:10 2019 R0: 173472347597680709441192448139190673828125
  9. Wed Apr 10 21:09:10 2019 R1: -332306998946228968225951765070086144
  10. Wed Apr 10 21:09:10 2019 A0: 1
  11. Wed Apr 10 21:09:10 2019 A1: 1
  12. Wed Apr 10 21:09:10 2019 A2: 1
  13. Wed Apr 10 21:09:10 2019 A3: 1
  14. Wed Apr 10 21:09:10 2019 A4: 1
  15. Wed Apr 10 21:09:10 2019 A5: 1
  16. Wed Apr 10 21:09:10 2019 A6: 1
  17. Wed Apr 10 21:09:10 2019 skew 1.00, size 3.208e-12, alpha 2.428, combined = 2.761e-13 rroots = 0
  18. Wed Apr 10 21:09:10 2019
  19. Wed Apr 10 21:09:10 2019 commencing relation filtering
  20. Wed Apr 10 21:09:10 2019 setting target matrix density to 130.0
  21. Wed Apr 10 21:09:10 2019 estimated available RAM is 32768.0 MB
  22. Wed Apr 10 21:09:10 2019 commencing duplicate removal, pass 1
  23. Wed Apr 10 21:09:31 2019 error -9 reading relation 3405498
  24. [46438 more error lines]
  25. Wed Apr 10 21:37:07 2019 error -9 reading relation 261459913
  26. Wed Apr 10 21:37:09 2019 skipped 228 relations with b > 2^32
  27. Wed Apr 10 21:37:09 2019 skipped 9314 relations with composite factors
  28. Wed Apr 10 21:37:09 2019 found 57178442 hash collisions in 261627784 relations
  29. Wed Apr 10 21:37:15 2019 added 2438533 free relations
  30. Wed Apr 10 21:37:15 2019 commencing duplicate removal, pass 2
  31. Wed Apr 10 21:40:59 2019 found 58371545 duplicates and 205694772 unique relations
  32. Wed Apr 10 21:40:59 2019 memory use: 1449.5 MB
  33. Wed Apr 10 21:40:59 2019 reading ideals above 209911808
  34. Wed Apr 10 21:40:59 2019 commencing singleton removal, initial pass
  35. Wed Apr 10 21:57:44 2019 memory use: 3012.0 MB
  36. Wed Apr 10 21:57:44 2019 reading all ideals from disk
  37. Wed Apr 10 21:57:46 2019 memory use: 3269.0 MB
  38. Wed Apr 10 21:57:52 2019 commencing in-memory singleton removal
  39. Wed Apr 10 21:57:57 2019 begin with 205694772 relations and 155899299 unique ideals
  40. Wed Apr 10 21:59:12 2019 reduce to 142256552 relations and 86648246 ideals in 13 passes
  41. Wed Apr 10 21:59:12 2019 max relations containing the same ideal: 37
  42. Wed Apr 10 21:59:22 2019 reading ideals above 720000
  43. Wed Apr 10 21:59:23 2019 commencing singleton removal, initial pass
  44. Wed Apr 10 22:15:31 2019 memory use: 3012.0 MB
  45. Wed Apr 10 22:15:31 2019 reading all ideals from disk
  46. Wed Apr 10 22:15:36 2019 memory use: 5614.4 MB
  47. Wed Apr 10 22:15:48 2019 keeping 109112363 ideals with weight <= 200, target excess is 730305
  48. Wed Apr 10 22:16:02 2019 commencing in-memory singleton removal
  49. Wed Apr 10 22:16:11 2019 begin with 142256552 relations and 109112363 unique ideals
  50. Wed Apr 10 22:17:15 2019 reduce to 142251752 relations and 109107548 ideals in 6 passes
  51. Wed Apr 10 22:17:15 2019 max relations containing the same ideal: 200
  52. Wed Apr 10 22:18:07 2019 removing 10124971 relations and 8124971 ideals in 2000000 cliques
  53. Wed Apr 10 22:18:10 2019 commencing in-memory singleton removal
  54. Wed Apr 10 22:18:19 2019 begin with 132126781 relations and 109107548 unique ideals
  55. Wed Apr 10 22:19:29 2019 reduce to 131600921 relations and 100447388 ideals in 7 passes
  56. Wed Apr 10 22:19:29 2019 max relations containing the same ideal: 198
  57. Wed Apr 10 22:20:18 2019 removing 7719289 relations and 5719289 ideals in 2000000 cliques
  58. Wed Apr 10 22:20:21 2019 commencing in-memory singleton removal
  59. Wed Apr 10 22:20:29 2019 begin with 123881632 relations and 100447388 unique ideals
  60. Wed Apr 10 22:21:34 2019 reduce to 123529897 relations and 94370693 ideals in 7 passes
  61. Wed Apr 10 22:21:34 2019 max relations containing the same ideal: 192
  62. Wed Apr 10 22:22:19 2019 removing 7008474 relations and 5008474 ideals in 2000000 cliques
  63. Wed Apr 10 22:22:22 2019 commencing in-memory singleton removal
  64. Wed Apr 10 22:22:30 2019 begin with 116521423 relations and 94370693 unique ideals
  65. Wed Apr 10 22:23:30 2019 reduce to 116216150 relations and 89052178 ideals in 7 passes
  66. Wed Apr 10 22:23:30 2019 max relations containing the same ideal: 186
  67. Wed Apr 10 22:24:13 2019 removing 6642339 relations and 4642339 ideals in 2000000 cliques
  68. Wed Apr 10 22:24:16 2019 commencing in-memory singleton removal
  69. Wed Apr 10 22:24:23 2019 begin with 109573811 relations and 89052178 unique ideals
  70. Wed Apr 10 22:25:20 2019 reduce to 109292719 relations and 84124266 ideals in 7 passes
  71. Wed Apr 10 22:25:20 2019 max relations containing the same ideal: 178
  72. Wed Apr 10 22:26:00 2019 removing 6401264 relations and 4401264 ideals in 2000000 cliques
  73. Wed Apr 10 22:26:03 2019 commencing in-memory singleton removal
  74. Wed Apr 10 22:26:10 2019 begin with 102891455 relations and 84124266 unique ideals
  75. Wed Apr 10 22:26:55 2019 reduce to 102625004 relations and 79452096 ideals in 6 passes
  76. Wed Apr 10 22:26:55 2019 max relations containing the same ideal: 172
  77. Wed Apr 10 22:27:34 2019 removing 6232517 relations and 4232517 ideals in 2000000 cliques
  78. Wed Apr 10 22:27:36 2019 commencing in-memory singleton removal
  79. Wed Apr 10 22:27:43 2019 begin with 96392487 relations and 79452096 unique ideals
  80. Wed Apr 10 22:28:32 2019 reduce to 96133053 relations and 74955562 ideals in 7 passes
  81. Wed Apr 10 22:28:32 2019 max relations containing the same ideal: 164
  82. Wed Apr 10 22:29:08 2019 removing 6104712 relations and 4104712 ideals in 2000000 cliques
  83. Wed Apr 10 22:29:11 2019 commencing in-memory singleton removal
  84. Wed Apr 10 22:29:17 2019 begin with 90028341 relations and 74955562 unique ideals
  85. Wed Apr 10 22:29:56 2019 reduce to 89769738 relations and 70587378 ideals in 6 passes
  86. Wed Apr 10 22:29:56 2019 max relations containing the same ideal: 155
  87. Wed Apr 10 22:30:30 2019 removing 6007333 relations and 4007333 ideals in 2000000 cliques
  88. Wed Apr 10 22:30:33 2019 commencing in-memory singleton removal
  89. Wed Apr 10 22:30:38 2019 begin with 83762405 relations and 70587378 unique ideals
  90. Wed Apr 10 22:31:15 2019 reduce to 83503420 relations and 66315988 ideals in 6 passes
  91. Wed Apr 10 22:31:15 2019 max relations containing the same ideal: 148
  92. Wed Apr 10 22:31:47 2019 removing 5924321 relations and 3924321 ideals in 2000000 cliques
  93. Wed Apr 10 22:31:49 2019 commencing in-memory singleton removal
  94. Wed Apr 10 22:31:54 2019 begin with 77579099 relations and 66315988 unique ideals
  95. Wed Apr 10 22:32:27 2019 reduce to 77314191 relations and 62121175 ideals in 6 passes
  96. Wed Apr 10 22:32:27 2019 max relations containing the same ideal: 141
  97. Wed Apr 10 22:32:56 2019 removing 5859891 relations and 3859891 ideals in 2000000 cliques
  98. Wed Apr 10 22:32:59 2019 commencing in-memory singleton removal
  99. Wed Apr 10 22:33:03 2019 begin with 71454300 relations and 62121175 unique ideals
  100. Wed Apr 10 22:33:34 2019 reduce to 71181520 relations and 57982295 ideals in 6 passes
  101. Wed Apr 10 22:33:34 2019 max relations containing the same ideal: 137
  102. Wed Apr 10 22:34:01 2019 removing 5801708 relations and 3801708 ideals in 2000000 cliques
  103. Wed Apr 10 22:34:03 2019 commencing in-memory singleton removal
  104. Wed Apr 10 22:34:07 2019 begin with 65379812 relations and 57982295 unique ideals
  105. Wed Apr 10 22:34:35 2019 reduce to 65095114 relations and 53888930 ideals in 6 passes
  106. Wed Apr 10 22:34:35 2019 max relations containing the same ideal: 126
  107. Wed Apr 10 22:35:00 2019 removing 5761637 relations and 3761637 ideals in 2000000 cliques
  108. Wed Apr 10 22:35:02 2019 commencing in-memory singleton removal
  109. Wed Apr 10 22:35:06 2019 begin with 59333477 relations and 53888930 unique ideals
  110. Wed Apr 10 22:35:35 2019 reduce to 59031313 relations and 49817191 ideals in 7 passes
  111. Wed Apr 10 22:35:35 2019 max relations containing the same ideal: 118
  112. Wed Apr 10 22:35:57 2019 removing 5728893 relations and 3728893 ideals in 2000000 cliques
  113. Wed Apr 10 22:35:59 2019 commencing in-memory singleton removal
  114. Wed Apr 10 22:36:03 2019 begin with 53302420 relations and 49817191 unique ideals
  115. Wed Apr 10 22:36:25 2019 reduce to 52975089 relations and 45751619 ideals in 6 passes
  116. Wed Apr 10 22:36:25 2019 max relations containing the same ideal: 110
  117. Wed Apr 10 22:36:45 2019 removing 5712578 relations and 3712578 ideals in 2000000 cliques
  118. Wed Apr 10 22:36:47 2019 commencing in-memory singleton removal
  119. Wed Apr 10 22:36:50 2019 begin with 47262511 relations and 45751619 unique ideals
  120. Wed Apr 10 22:37:09 2019 reduce to 46894929 relations and 41659686 ideals in 6 passes
  121. Wed Apr 10 22:37:09 2019 max relations containing the same ideal: 100
  122. Wed Apr 10 22:37:27 2019 removing 5717070 relations and 3717070 ideals in 2000000 cliques
  123. Wed Apr 10 22:37:29 2019 commencing in-memory singleton removal
  124. Wed Apr 10 22:37:32 2019 begin with 41177859 relations and 41659686 unique ideals
  125. Wed Apr 10 22:37:52 2019 reduce to 40747662 relations and 37496981 ideals in 7 passes
  126. Wed Apr 10 22:37:52 2019 max relations containing the same ideal: 91
  127. Wed Apr 10 22:38:07 2019 removing 5762579 relations and 3762579 ideals in 2000000 cliques
  128. Wed Apr 10 22:38:09 2019 commencing in-memory singleton removal
  129. Wed Apr 10 22:38:11 2019 begin with 34985083 relations and 37496981 unique ideals
  130. Wed Apr 10 22:38:30 2019 reduce to 34449800 relations and 33176982 ideals in 8 passes
  131. Wed Apr 10 22:38:30 2019 max relations containing the same ideal: 81
  132. Wed Apr 10 22:38:44 2019 removing 1627482 relations and 1201818 ideals in 425664 cliques
  133. Wed Apr 10 22:38:45 2019 commencing in-memory singleton removal
  134. Wed Apr 10 22:38:47 2019 begin with 32822318 relations and 33176982 unique ideals
  135. Wed Apr 10 22:39:00 2019 reduce to 32757910 relations and 31910024 ideals in 6 passes
  136. Wed Apr 10 22:39:00 2019 max relations containing the same ideal: 80
  137. Wed Apr 10 22:39:16 2019 relations with 0 large ideals: 55805
  138. Wed Apr 10 22:39:16 2019 relations with 1 large ideals: 14071
  139. Wed Apr 10 22:39:16 2019 relations with 2 large ideals: 162382
  140. Wed Apr 10 22:39:16 2019 relations with 3 large ideals: 1012256
  141. Wed Apr 10 22:39:16 2019 relations with 4 large ideals: 3406590
  142. Wed Apr 10 22:39:16 2019 relations with 5 large ideals: 6840726
  143. Wed Apr 10 22:39:16 2019 relations with 6 large ideals: 8610303
  144. Wed Apr 10 22:39:16 2019 relations with 7+ large ideals: 12655777
  145. Wed Apr 10 22:39:16 2019 commencing 2-way merge
  146. Wed Apr 10 22:39:34 2019 reduce to 22777405 relation sets and 21929519 unique ideals
  147. Wed Apr 10 22:39:34 2019 commencing full merge
  148. Wed Apr 10 22:54:55 2019 memory use: 1017.8 MB
  149. Wed Apr 10 22:54:55 2019 found 94974 cycles, need 4912505
  150. Wed Apr 10 22:54:55 2019 too few cycles, matrix probably cannot build
  151. Thu Apr 11 19:14:57 2019
  152. Thu Apr 11 19:14:57 2019
  153. Thu Apr 11 19:14:57 2019 Msieve v. 1.53 (SVN 988M)
  154. Thu Apr 11 19:14:57 2019 random seeds: e474b962 0008af53
  155. Thu Apr 11 19:14:57 2019 factoring 22297559184967044539969978853341661720088866726337494688324636622660615595573947203928261459872549657300780449079291624609025124614078443014549797873202527030964094707358217611 (176 digits)
  156. Thu Apr 11 19:14:58 2019 searching for 15-digit factors
  157. Thu Apr 11 19:14:59 2019 commencing number field sieve (176-digit input)
  158. Thu Apr 11 19:14:59 2019 R0: 173472347597680709441192448139190673828125
  159. Thu Apr 11 19:14:59 2019 R1: -332306998946228968225951765070086144
  160. Thu Apr 11 19:14:59 2019 A0: 1
  161. Thu Apr 11 19:14:59 2019 A1: 1
  162. Thu Apr 11 19:14:59 2019 A2: 1
  163. Thu Apr 11 19:14:59 2019 A3: 1
  164. Thu Apr 11 19:14:59 2019 A4: 1
  165. Thu Apr 11 19:14:59 2019 A5: 1
  166. Thu Apr 11 19:14:59 2019 A6: 1
  167. Thu Apr 11 19:14:59 2019 skew 1.00, size 3.208e-12, alpha 2.428, combined = 2.761e-13 rroots = 0
  168. Thu Apr 11 19:14:59 2019
  169. Thu Apr 11 19:14:59 2019 commencing relation filtering
  170. Thu Apr 11 19:14:59 2019 setting target matrix density to 124.0
  171. Thu Apr 11 19:14:59 2019 estimated available RAM is 32768.0 MB
  172. Thu Apr 11 19:14:59 2019 commencing duplicate removal, pass 1
  173. Thu Apr 11 19:15:21 2019 error -9 reading relation 3405498
  174. [46438 more error lines]
  175. Thu Apr 11 19:42:58 2019 error -9 reading relation 261459913
  176. Thu Apr 11 19:43:29 2019 skipped 228 relations with b > 2^32
  177. Thu Apr 11 19:43:29 2019 skipped 9314 relations with composite factors
  178. Thu Apr 11 19:43:29 2019 found 57345301 hash collisions in 264066317 relations
  179. Thu Apr 11 19:43:29 2019 commencing duplicate removal, pass 2
  180. Thu Apr 11 19:47:13 2019 found 58371545 duplicates and 205694772 unique relations
  181. Thu Apr 11 19:47:13 2019 memory use: 1449.5 MB
  182. Thu Apr 11 19:47:13 2019 reading ideals above 209911808
  183. Thu Apr 11 19:47:13 2019 commencing singleton removal, initial pass
  184. Thu Apr 11 20:03:59 2019 memory use: 3012.0 MB
  185. Thu Apr 11 20:03:59 2019 reading all ideals from disk
  186. Thu Apr 11 20:04:01 2019 memory use: 3269.0 MB
  187. Thu Apr 11 20:04:07 2019 commencing in-memory singleton removal
  188. Thu Apr 11 20:04:12 2019 begin with 205694772 relations and 155899299 unique ideals
  189. Thu Apr 11 20:05:23 2019 reduce to 142256552 relations and 86648246 ideals in 13 passes
  190. Thu Apr 11 20:05:23 2019 max relations containing the same ideal: 37
  191. Thu Apr 11 20:05:33 2019 reading ideals above 720000
  192. Thu Apr 11 20:05:34 2019 commencing singleton removal, initial pass
  193. Thu Apr 11 20:21:42 2019 memory use: 3012.0 MB
  194. Thu Apr 11 20:21:42 2019 reading all ideals from disk
  195. Thu Apr 11 20:21:46 2019 memory use: 5614.4 MB
  196. Thu Apr 11 20:21:58 2019 keeping 109112363 ideals with weight <= 200, target excess is 730305
  197. Thu Apr 11 20:22:11 2019 commencing in-memory singleton removal
  198. Thu Apr 11 20:22:20 2019 begin with 142256552 relations and 109112363 unique ideals
  199. Thu Apr 11 20:23:21 2019 reduce to 142251752 relations and 109107548 ideals in 6 passes
  200. Thu Apr 11 20:23:21 2019 max relations containing the same ideal: 200
  201. Thu Apr 11 20:24:11 2019 removing 10124971 relations and 8124971 ideals in 2000000 cliques
  202. Thu Apr 11 20:24:15 2019 commencing in-memory singleton removal
  203. Thu Apr 11 20:24:24 2019 begin with 132126781 relations and 109107548 unique ideals
  204. Thu Apr 11 20:25:30 2019 reduce to 131600921 relations and 100447388 ideals in 7 passes
  205. Thu Apr 11 20:25:30 2019 max relations containing the same ideal: 198
  206. Thu Apr 11 20:26:17 2019 removing 7719289 relations and 5719289 ideals in 2000000 cliques
  207. Thu Apr 11 20:26:20 2019 commencing in-memory singleton removal
  208. Thu Apr 11 20:26:28 2019 begin with 123881632 relations and 100447388 unique ideals
  209. Thu Apr 11 20:27:29 2019 reduce to 123529897 relations and 94370693 ideals in 7 passes
  210. Thu Apr 11 20:27:29 2019 max relations containing the same ideal: 192
  211. Thu Apr 11 20:28:14 2019 removing 7008474 relations and 5008474 ideals in 2000000 cliques
  212. Thu Apr 11 20:28:16 2019 commencing in-memory singleton removal
  213. Thu Apr 11 20:28:24 2019 begin with 116521423 relations and 94370693 unique ideals
  214. Thu Apr 11 20:29:22 2019 reduce to 116216150 relations and 89052178 ideals in 7 passes
  215. Thu Apr 11 20:29:22 2019 max relations containing the same ideal: 186
  216. Thu Apr 11 20:30:03 2019 removing 6642339 relations and 4642339 ideals in 2000000 cliques
  217. Thu Apr 11 20:30:06 2019 commencing in-memory singleton removal
  218. Thu Apr 11 20:30:13 2019 begin with 109573811 relations and 89052178 unique ideals
  219. Thu Apr 11 20:31:07 2019 reduce to 109292719 relations and 84124266 ideals in 7 passes
  220. Thu Apr 11 20:31:07 2019 max relations containing the same ideal: 178
  221. Thu Apr 11 20:31:47 2019 removing 6401264 relations and 4401264 ideals in 2000000 cliques
  222. Thu Apr 11 20:31:49 2019 commencing in-memory singleton removal
  223. Thu Apr 11 20:31:56 2019 begin with 102891455 relations and 84124266 unique ideals
  224. Thu Apr 11 20:32:39 2019 reduce to 102625004 relations and 79452096 ideals in 6 passes
  225. Thu Apr 11 20:32:39 2019 max relations containing the same ideal: 172
  226. Thu Apr 11 20:33:16 2019 removing 6232517 relations and 4232517 ideals in 2000000 cliques
  227. Thu Apr 11 20:33:19 2019 commencing in-memory singleton removal
  228. Thu Apr 11 20:33:25 2019 begin with 96392487 relations and 79452096 unique ideals
  229. Thu Apr 11 20:34:12 2019 reduce to 96133053 relations and 74955562 ideals in 7 passes
  230. Thu Apr 11 20:34:12 2019 max relations containing the same ideal: 164
  231. Thu Apr 11 20:34:47 2019 removing 6104712 relations and 4104712 ideals in 2000000 cliques
  232. Thu Apr 11 20:34:49 2019 commencing in-memory singleton removal
  233. Thu Apr 11 20:34:55 2019 begin with 90028341 relations and 74955562 unique ideals
  234. Thu Apr 11 20:35:32 2019 reduce to 89769738 relations and 70587378 ideals in 6 passes
  235. Thu Apr 11 20:35:32 2019 max relations containing the same ideal: 155
  236. Thu Apr 11 20:36:05 2019 removing 6007333 relations and 4007333 ideals in 2000000 cliques
  237. Thu Apr 11 20:36:07 2019 commencing in-memory singleton removal
  238. Thu Apr 11 20:36:13 2019 begin with 83762405 relations and 70587378 unique ideals
  239. Thu Apr 11 20:36:47 2019 reduce to 83503420 relations and 66315988 ideals in 6 passes
  240. Thu Apr 11 20:36:47 2019 max relations containing the same ideal: 148
  241. Thu Apr 11 20:37:18 2019 removing 5924321 relations and 3924321 ideals in 2000000 cliques
  242. Thu Apr 11 20:37:21 2019 commencing in-memory singleton removal
  243. Thu Apr 11 20:37:25 2019 begin with 77579099 relations and 66315988 unique ideals
  244. Thu Apr 11 20:37:57 2019 reduce to 77314191 relations and 62121175 ideals in 6 passes
  245. Thu Apr 11 20:37:57 2019 max relations containing the same ideal: 141
  246. Thu Apr 11 20:38:25 2019 removing 5859891 relations and 3859891 ideals in 2000000 cliques
  247. Thu Apr 11 20:38:27 2019 commencing in-memory singleton removal
  248. Thu Apr 11 20:38:32 2019 begin with 71454300 relations and 62121175 unique ideals
  249. Thu Apr 11 20:39:01 2019 reduce to 71181520 relations and 57982295 ideals in 6 passes
  250. Thu Apr 11 20:39:01 2019 max relations containing the same ideal: 137
  251. Thu Apr 11 20:39:27 2019 removing 5801708 relations and 3801708 ideals in 2000000 cliques
  252. Thu Apr 11 20:39:29 2019 commencing in-memory singleton removal
  253. Thu Apr 11 20:39:33 2019 begin with 65379812 relations and 57982295 unique ideals
  254. Thu Apr 11 20:40:00 2019 reduce to 65095114 relations and 53888930 ideals in 6 passes
  255. Thu Apr 11 20:40:00 2019 max relations containing the same ideal: 126
  256. Thu Apr 11 20:40:24 2019 removing 5761637 relations and 3761637 ideals in 2000000 cliques
  257. Thu Apr 11 20:40:26 2019 commencing in-memory singleton removal
  258. Thu Apr 11 20:40:29 2019 begin with 59333477 relations and 53888930 unique ideals
  259. Thu Apr 11 20:40:57 2019 reduce to 59031313 relations and 49817191 ideals in 7 passes
  260. Thu Apr 11 20:40:57 2019 max relations containing the same ideal: 118
  261. Thu Apr 11 20:41:19 2019 removing 5728893 relations and 3728893 ideals in 2000000 cliques
  262. Thu Apr 11 20:41:21 2019 commencing in-memory singleton removal
  263. Thu Apr 11 20:41:24 2019 begin with 53302420 relations and 49817191 unique ideals
  264. Thu Apr 11 20:41:46 2019 reduce to 52975089 relations and 45751619 ideals in 6 passes
  265. Thu Apr 11 20:41:46 2019 max relations containing the same ideal: 110
  266. Thu Apr 11 20:42:05 2019 removing 5712578 relations and 3712578 ideals in 2000000 cliques
  267. Thu Apr 11 20:42:07 2019 commencing in-memory singleton removal
  268. Thu Apr 11 20:42:10 2019 begin with 47262511 relations and 45751619 unique ideals
  269. Thu Apr 11 20:42:28 2019 reduce to 46894929 relations and 41659686 ideals in 6 passes
  270. Thu Apr 11 20:42:28 2019 max relations containing the same ideal: 100
  271. Thu Apr 11 20:42:46 2019 removing 5717070 relations and 3717070 ideals in 2000000 cliques
  272. Thu Apr 11 20:42:48 2019 commencing in-memory singleton removal
  273. Thu Apr 11 20:42:50 2019 begin with 41177859 relations and 41659686 unique ideals
  274. Thu Apr 11 20:43:09 2019 reduce to 40747662 relations and 37496981 ideals in 7 passes
  275. Thu Apr 11 20:43:09 2019 max relations containing the same ideal: 91
  276. Thu Apr 11 20:43:25 2019 removing 5762579 relations and 3762579 ideals in 2000000 cliques
  277. Thu Apr 11 20:43:26 2019 commencing in-memory singleton removal
  278. Thu Apr 11 20:43:28 2019 begin with 34985083 relations and 37496981 unique ideals
  279. Thu Apr 11 20:43:46 2019 reduce to 34449800 relations and 33176982 ideals in 8 passes
  280. Thu Apr 11 20:43:46 2019 max relations containing the same ideal: 81
  281. Thu Apr 11 20:43:59 2019 removing 1627482 relations and 1201818 ideals in 425664 cliques
  282. Thu Apr 11 20:44:00 2019 commencing in-memory singleton removal
  283. Thu Apr 11 20:44:02 2019 begin with 32822318 relations and 33176982 unique ideals
  284. Thu Apr 11 20:44:14 2019 reduce to 32757910 relations and 31910024 ideals in 6 passes
  285. Thu Apr 11 20:44:14 2019 max relations containing the same ideal: 80
  286. Thu Apr 11 20:44:30 2019 relations with 0 large ideals: 55805
  287. Thu Apr 11 20:44:30 2019 relations with 1 large ideals: 14071
  288. Thu Apr 11 20:44:30 2019 relations with 2 large ideals: 162382
  289. Thu Apr 11 20:44:30 2019 relations with 3 large ideals: 1012256
  290. Thu Apr 11 20:44:30 2019 relations with 4 large ideals: 3406590
  291. Thu Apr 11 20:44:30 2019 relations with 5 large ideals: 6840726
  292. Thu Apr 11 20:44:30 2019 relations with 6 large ideals: 8610303
  293. Thu Apr 11 20:44:30 2019 relations with 7+ large ideals: 12655777
  294. Thu Apr 11 20:44:30 2019 commencing 2-way merge
  295. Thu Apr 11 20:44:48 2019 reduce to 22777405 relation sets and 21929519 unique ideals
  296. Thu Apr 11 20:44:48 2019 commencing full merge
  297. Thu Apr 11 20:53:15 2019 memory use: 2941.1 MB
  298. Thu Apr 11 20:53:20 2019 found 10027322 cycles, need 10007719
  299. Thu Apr 11 20:53:20 2019 weight of 10007719 cycles is about 1241712180 (124.08/cycle)
  300. Thu Apr 11 20:53:20 2019 distribution of cycle lengths:
  301. Thu Apr 11 20:53:20 2019 1 relations: 333387
  302. Thu Apr 11 20:53:20 2019 2 relations: 478351
  303. Thu Apr 11 20:53:20 2019 3 relations: 605241
  304. Thu Apr 11 20:53:20 2019 4 relations: 663287
  305. Thu Apr 11 20:53:20 2019 5 relations: 703468
  306. Thu Apr 11 20:53:20 2019 6 relations: 721869
  307. Thu Apr 11 20:53:20 2019 7 relations: 722327
  308. Thu Apr 11 20:53:20 2019 8 relations: 703520
  309. Thu Apr 11 20:53:20 2019 9 relations: 669990
  310. Thu Apr 11 20:53:20 2019 10+ relations: 4406279
  311. Thu Apr 11 20:53:20 2019 heaviest cycle: 28 relations
  312. Thu Apr 11 20:53:24 2019 commencing cycle optimization
  313. Thu Apr 11 20:53:47 2019 start with 94804225 relations
  314. Thu Apr 11 20:58:05 2019 pruned 5179422 relations
  315. Thu Apr 11 20:58:05 2019 memory use: 2339.9 MB
  316. Thu Apr 11 20:58:05 2019 distribution of cycle lengths:
  317. Thu Apr 11 20:58:05 2019 1 relations: 333387
  318. Thu Apr 11 20:58:05 2019 2 relations: 490649
  319. Thu Apr 11 20:58:05 2019 3 relations: 631631
  320. Thu Apr 11 20:58:05 2019 4 relations: 694218
  321. Thu Apr 11 20:58:05 2019 5 relations: 746427
  322. Thu Apr 11 20:58:05 2019 6 relations: 765488
  323. Thu Apr 11 20:58:05 2019 7 relations: 770501
  324. Thu Apr 11 20:58:05 2019 8 relations: 748275
  325. Thu Apr 11 20:58:05 2019 9 relations: 712186
  326. Thu Apr 11 20:58:05 2019 10+ relations: 4114957
  327. Thu Apr 11 20:58:05 2019 heaviest cycle: 28 relations
  328. Thu Apr 11 20:58:28 2019 RelProcTime: 6209
  329. Thu Apr 11 20:58:28 2019
  330. Thu Apr 11 20:58:28 2019 commencing linear algebra
  331. Thu Apr 11 20:58:30 2019 read 10007719 cycles
  332. Thu Apr 11 20:58:53 2019 cycles contain 32387917 unique relations
  333. Thu Apr 11 21:03:15 2019 read 32387917 relations
  334. Thu Apr 11 21:04:23 2019 using 20 quadratic characters above 4294917295
  335. Thu Apr 11 21:06:16 2019 building initial matrix
  336. Thu Apr 11 21:11:57 2019 memory use: 4007.0 MB
  337. Thu Apr 11 21:12:05 2019 read 10007719 cycles
  338. Thu Apr 11 21:12:06 2019 matrix is 10007542 x 10007719 (4796.5 MB) with weight 1362921662 (136.19/col)
  339. Thu Apr 11 21:12:06 2019 sparse part has weight 1147283359 (114.64/col)
  340. Thu Apr 11 21:13:50 2019 filtering completed in 2 passes
  341. Thu Apr 11 21:13:51 2019 matrix is 10007458 x 10007635 (4796.5 MB) with weight 1362918712 (136.19/col)
  342. Thu Apr 11 21:13:51 2019 sparse part has weight 1147282238 (114.64/col)
  343. Thu Apr 11 21:14:25 2019 matrix starts at (0, 0)
  344. Thu Apr 11 21:14:26 2019 matrix is 10007458 x 10007635 (4796.5 MB) with weight 1362918712 (136.19/col)
  345. Thu Apr 11 21:14:26 2019 sparse part has weight 1147282238 (114.64/col)
  346. Thu Apr 11 21:14:26 2019 saving the first 48 matrix rows for later
  347. Thu Apr 11 21:14:27 2019 matrix includes 64 packed rows
  348. Thu Apr 11 21:14:28 2019 matrix is 10007410 x 10007635 (4594.3 MB) with weight 1179754890 (117.89/col)
  349. Thu Apr 11 21:14:28 2019 sparse part has weight 1104302598 (110.35/col)
  350. Thu Apr 11 21:14:28 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  351. Thu Apr 11 21:15:17 2019 commencing Lanczos iteration (8 threads)
  352. Thu Apr 11 21:15:17 2019 memory use: 3924.4 MB
  353. Thu Apr 11 21:15:37 2019 linear algebra at 0.0%, ETA 34h51m
  354. Thu Apr 11 21:15:43 2019 checkpointing every 300000 dimensions
  355. Sat Apr 13 08:30:53 2019 lanczos halted after 158256 iterations (dim = 10007408)
  356. Sat Apr 13 08:31:01 2019 recovered 38 nontrivial dependencies
  357. Sat Apr 13 08:31:03 2019 BLanczosTime: 127955
  358. Sat Apr 13 08:31:03 2019
  359. Sat Apr 13 08:31:03 2019 commencing square root phase
  360. Sat Apr 13 08:31:03 2019 handling dependencies 1 to 64
  361. Sat Apr 13 08:31:03 2019 reading relations for dependency 1
  362. Sat Apr 13 08:31:05 2019 read 5005626 cycles
  363. Sat Apr 13 08:31:15 2019 cycles contain 16198394 unique relations
  364. Sat Apr 13 08:34:39 2019 read 16198394 relations
  365. Sat Apr 13 08:35:48 2019 multiplying 16198394 relations
  366. Sat Apr 13 08:44:01 2019 multiply complete, coefficients have about 406.23 million bits
  367. Sat Apr 13 08:44:02 2019 initial square root is modulo 19454867
  368. Sat Apr 13 08:52:28 2019 sqrtTime: 1285
  369. Sat Apr 13 08:52:28 2019 p64 factor: 3111427079839940303975394025590556357146263853848746366548992761
  370. Sat Apr 13 08:52:28 2019 p112 factor: 7166344771324059924835401348518522562698921153204618747975694939357970336630088032028183653669529289186106898851
  371. Sat Apr 13 08:52:28 2019 elapsed time 37:37:31
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