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7p2_325

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Dec 18th, 2018
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  1. Mon Dec 17 12:17:59 2018
  2. Mon Dec 17 12:17:59 2018
  3. Mon Dec 17 12:17:59 2018 Msieve v. 1.53 (SVN 988M)
  4. Mon Dec 17 12:17:59 2018 random seeds: 97c9922b 9e1b4ec7
  5. Mon Dec 17 12:17:59 2018 factoring 116926894224530093843501142872853724776505186581784476069613780604454521940225516291305684163583123377562199822721464837210201851105665563727650806739495317371590425926365551 (174 digits)
  6. Mon Dec 17 12:18:00 2018 searching for 15-digit factors
  7. Mon Dec 17 12:18:01 2018 commencing number field sieve (174-digit input)
  8. Mon Dec 17 12:18:01 2018 R0: 8538323413450849900970017037940802745289307058918668807
  9. Mon Dec 17 12:18:01 2018 R1: -36893488147419103232
  10. Mon Dec 17 12:18:01 2018 A0: 1
  11. Mon Dec 17 12:18:01 2018 A1: -1
  12. Mon Dec 17 12:18:01 2018 A2: 1
  13. Mon Dec 17 12:18:01 2018 A3: -1
  14. Mon Dec 17 12:18:01 2018 A4: 1
  15. Mon Dec 17 12:18:01 2018 skew 1.00, size 2.180e-22, alpha 1.694, combined = 2.359e-13 rroots = 0
  16. Mon Dec 17 12:18:01 2018
  17. Mon Dec 17 12:18:01 2018 commencing relation filtering
  18. Mon Dec 17 12:18:01 2018 setting target matrix density to 130.0
  19. Mon Dec 17 12:18:01 2018 estimated available RAM is 32768.0 MB
  20. Mon Dec 17 12:18:01 2018 commencing duplicate removal, pass 1
  21. Mon Dec 17 12:32:46 2018 error -15 reading relation 150409497
  22. Mon Dec 17 12:33:13 2018 error -15 reading relation 155013052
  23. Mon Dec 17 12:34:57 2018 error -5 reading relation 172703306
  24. Mon Dec 17 12:34:58 2018 error -15 reading relation 172763403
  25. Mon Dec 17 12:35:35 2018 error -1 reading relation 178985887
  26. Mon Dec 17 12:38:02 2018 error -5 reading relation 203960776
  27. Mon Dec 17 12:38:05 2018 skipped 988 relations with b > 2^32
  28. Mon Dec 17 12:38:05 2018 skipped 1 relations with composite factors
  29. Mon Dec 17 12:38:05 2018 found 9156390 hash collisions in 204583235 relations
  30. Mon Dec 17 12:38:11 2018 added 3657741 free relations
  31. Mon Dec 17 12:38:11 2018 commencing duplicate removal, pass 2
  32. Mon Dec 17 12:38:57 2018 found 0 duplicates and 208240976 unique relations
  33. Mon Dec 17 12:38:57 2018 memory use: 522.4 MB
  34. Mon Dec 17 12:38:57 2018 reading ideals above 217382912
  35. Mon Dec 17 12:38:57 2018 commencing singleton removal, initial pass
  36. Mon Dec 17 12:53:03 2018 memory use: 3012.0 MB
  37. Mon Dec 17 12:53:03 2018 reading all ideals from disk
  38. Mon Dec 17 12:53:05 2018 memory use: 3238.1 MB
  39. Mon Dec 17 12:53:10 2018 commencing in-memory singleton removal
  40. Mon Dec 17 12:53:16 2018 begin with 208240976 relations and 151150113 unique ideals
  41. Mon Dec 17 12:54:30 2018 reduce to 146016502 relations and 83243227 ideals in 13 passes
  42. Mon Dec 17 12:54:30 2018 max relations containing the same ideal: 45
  43. Mon Dec 17 12:54:41 2018 reading ideals above 720000
  44. Mon Dec 17 12:54:41 2018 commencing singleton removal, initial pass
  45. Mon Dec 17 13:08:19 2018 memory use: 2756.0 MB
  46. Mon Dec 17 13:08:19 2018 reading all ideals from disk
  47. Mon Dec 17 13:08:23 2018 memory use: 5699.3 MB
  48. Mon Dec 17 13:08:36 2018 keeping 106472069 ideals with weight <= 200, target excess is 744001
  49. Mon Dec 17 13:08:49 2018 commencing in-memory singleton removal
  50. Mon Dec 17 13:08:59 2018 begin with 146016502 relations and 106472069 unique ideals
  51. Mon Dec 17 13:10:15 2018 reduce to 145993653 relations and 106449060 ideals in 7 passes
  52. Mon Dec 17 13:10:15 2018 max relations containing the same ideal: 200
  53. Mon Dec 17 13:11:06 2018 removing 9427600 relations and 7427600 ideals in 2000000 cliques
  54. Mon Dec 17 13:11:09 2018 commencing in-memory singleton removal
  55. Mon Dec 17 13:11:19 2018 begin with 136566053 relations and 106449060 unique ideals
  56. Mon Dec 17 13:12:29 2018 reduce to 136115094 relations and 98562435 ideals in 7 passes
  57. Mon Dec 17 13:12:29 2018 max relations containing the same ideal: 198
  58. Mon Dec 17 13:13:17 2018 removing 7199827 relations and 5199827 ideals in 2000000 cliques
  59. Mon Dec 17 13:13:20 2018 commencing in-memory singleton removal
  60. Mon Dec 17 13:13:29 2018 begin with 128915267 relations and 98562435 unique ideals
  61. Mon Dec 17 13:14:35 2018 reduce to 128615016 relations and 93057692 ideals in 7 passes
  62. Mon Dec 17 13:14:35 2018 max relations containing the same ideal: 194
  63. Mon Dec 17 13:15:21 2018 removing 6569363 relations and 4569363 ideals in 2000000 cliques
  64. Mon Dec 17 13:15:24 2018 commencing in-memory singleton removal
  65. Mon Dec 17 13:15:32 2018 begin with 122045653 relations and 93057692 unique ideals
  66. Mon Dec 17 13:16:35 2018 reduce to 121790320 relations and 88229108 ideals in 7 passes
  67. Mon Dec 17 13:16:35 2018 max relations containing the same ideal: 188
  68. Mon Dec 17 13:17:18 2018 removing 6231557 relations and 4231557 ideals in 2000000 cliques
  69. Mon Dec 17 13:17:21 2018 commencing in-memory singleton removal
  70. Mon Dec 17 13:17:28 2018 begin with 115558763 relations and 88229108 unique ideals
  71. Mon Dec 17 13:18:19 2018 reduce to 115326520 relations and 83761714 ideals in 6 passes
  72. Mon Dec 17 13:18:19 2018 max relations containing the same ideal: 183
  73. Mon Dec 17 13:19:00 2018 removing 6013206 relations and 4013206 ideals in 2000000 cliques
  74. Mon Dec 17 13:19:03 2018 commencing in-memory singleton removal
  75. Mon Dec 17 13:19:10 2018 begin with 109313314 relations and 83761714 unique ideals
  76. Mon Dec 17 13:19:58 2018 reduce to 109093398 relations and 79525064 ideals in 6 passes
  77. Mon Dec 17 13:19:58 2018 max relations containing the same ideal: 178
  78. Mon Dec 17 13:20:37 2018 removing 5854885 relations and 3854885 ideals in 2000000 cliques
  79. Mon Dec 17 13:20:39 2018 commencing in-memory singleton removal
  80. Mon Dec 17 13:20:46 2018 begin with 103238513 relations and 79525064 unique ideals
  81. Mon Dec 17 13:21:31 2018 reduce to 103025882 relations and 75453872 ideals in 6 passes
  82. Mon Dec 17 13:21:31 2018 max relations containing the same ideal: 172
  83. Mon Dec 17 13:22:07 2018 removing 5733142 relations and 3733142 ideals in 2000000 cliques
  84. Mon Dec 17 13:22:09 2018 commencing in-memory singleton removal
  85. Mon Dec 17 13:22:16 2018 begin with 97292740 relations and 75453872 unique ideals
  86. Mon Dec 17 13:22:58 2018 reduce to 97084334 relations and 71508537 ideals in 6 passes
  87. Mon Dec 17 13:22:58 2018 max relations containing the same ideal: 165
  88. Mon Dec 17 13:23:33 2018 removing 5638302 relations and 3638302 ideals in 2000000 cliques
  89. Mon Dec 17 13:23:35 2018 commencing in-memory singleton removal
  90. Mon Dec 17 13:23:41 2018 begin with 91446032 relations and 71508537 unique ideals
  91. Mon Dec 17 13:24:20 2018 reduce to 91238254 relations and 67658444 ideals in 6 passes
  92. Mon Dec 17 13:24:20 2018 max relations containing the same ideal: 159
  93. Mon Dec 17 13:24:53 2018 removing 5560465 relations and 3560465 ideals in 2000000 cliques
  94. Mon Dec 17 13:24:56 2018 commencing in-memory singleton removal
  95. Mon Dec 17 13:25:01 2018 begin with 85677789 relations and 67658444 unique ideals
  96. Mon Dec 17 13:25:32 2018 reduce to 85469725 relations and 63885694 ideals in 5 passes
  97. Mon Dec 17 13:25:32 2018 max relations containing the same ideal: 151
  98. Mon Dec 17 13:26:03 2018 removing 5496695 relations and 3496695 ideals in 2000000 cliques
  99. Mon Dec 17 13:26:05 2018 commencing in-memory singleton removal
  100. Mon Dec 17 13:26:10 2018 begin with 79973030 relations and 63885694 unique ideals
  101. Mon Dec 17 13:26:44 2018 reduce to 79762345 relations and 60173760 ideals in 6 passes
  102. Mon Dec 17 13:26:44 2018 max relations containing the same ideal: 145
  103. Mon Dec 17 13:27:13 2018 removing 5443742 relations and 3443742 ideals in 2000000 cliques
  104. Mon Dec 17 13:27:15 2018 commencing in-memory singleton removal
  105. Mon Dec 17 13:27:20 2018 begin with 74318603 relations and 60173760 unique ideals
  106. Mon Dec 17 13:27:51 2018 reduce to 74102442 relations and 56508889 ideals in 6 passes
  107. Mon Dec 17 13:27:51 2018 max relations containing the same ideal: 139
  108. Mon Dec 17 13:28:18 2018 removing 5397786 relations and 3397786 ideals in 2000000 cliques
  109. Mon Dec 17 13:28:20 2018 commencing in-memory singleton removal
  110. Mon Dec 17 13:28:24 2018 begin with 68704656 relations and 56508889 unique ideals
  111. Mon Dec 17 13:28:58 2018 reduce to 68481676 relations and 52882820 ideals in 7 passes
  112. Mon Dec 17 13:28:58 2018 max relations containing the same ideal: 132
  113. Mon Dec 17 13:29:22 2018 removing 5358940 relations and 3358940 ideals in 2000000 cliques
  114. Mon Dec 17 13:29:24 2018 commencing in-memory singleton removal
  115. Mon Dec 17 13:29:28 2018 begin with 63122736 relations and 52882820 unique ideals
  116. Mon Dec 17 13:29:55 2018 reduce to 62889668 relations and 49284753 ideals in 6 passes
  117. Mon Dec 17 13:29:55 2018 max relations containing the same ideal: 127
  118. Mon Dec 17 13:30:17 2018 removing 5327574 relations and 3327574 ideals in 2000000 cliques
  119. Mon Dec 17 13:30:19 2018 commencing in-memory singleton removal
  120. Mon Dec 17 13:30:23 2018 begin with 57562094 relations and 49284753 unique ideals
  121. Mon Dec 17 13:30:47 2018 reduce to 57316236 relations and 45704328 ideals in 6 passes
  122. Mon Dec 17 13:30:47 2018 max relations containing the same ideal: 117
  123. Mon Dec 17 13:31:07 2018 removing 5302091 relations and 3302091 ideals in 2000000 cliques
  124. Mon Dec 17 13:31:09 2018 commencing in-memory singleton removal
  125. Mon Dec 17 13:31:12 2018 begin with 52014145 relations and 45704328 unique ideals
  126. Mon Dec 17 13:31:34 2018 reduce to 51751648 relations and 42131967 ideals in 6 passes
  127. Mon Dec 17 13:31:34 2018 max relations containing the same ideal: 110
  128. Mon Dec 17 13:31:53 2018 removing 5279520 relations and 3279520 ideals in 2000000 cliques
  129. Mon Dec 17 13:31:54 2018 commencing in-memory singleton removal
  130. Mon Dec 17 13:31:57 2018 begin with 46472128 relations and 42131967 unique ideals
  131. Mon Dec 17 13:32:19 2018 reduce to 46184188 relations and 38555082 ideals in 7 passes
  132. Mon Dec 17 13:32:19 2018 max relations containing the same ideal: 105
  133. Mon Dec 17 13:32:36 2018 removing 5270450 relations and 3270450 ideals in 2000000 cliques
  134. Mon Dec 17 13:32:38 2018 commencing in-memory singleton removal
  135. Mon Dec 17 13:32:41 2018 begin with 40913738 relations and 38555082 unique ideals
  136. Mon Dec 17 13:33:00 2018 reduce to 40589376 relations and 34948215 ideals in 7 passes
  137. Mon Dec 17 13:33:00 2018 max relations containing the same ideal: 96
  138. Mon Dec 17 13:33:14 2018 removing 5278298 relations and 3278298 ideals in 2000000 cliques
  139. Mon Dec 17 13:33:16 2018 commencing in-memory singleton removal
  140. Mon Dec 17 13:33:18 2018 begin with 35311078 relations and 34948215 unique ideals
  141. Mon Dec 17 13:33:32 2018 reduce to 34926994 relations and 31270014 ideals in 6 passes
  142. Mon Dec 17 13:33:32 2018 max relations containing the same ideal: 90
  143. Mon Dec 17 13:33:45 2018 removing 5316149 relations and 3316149 ideals in 2000000 cliques
  144. Mon Dec 17 13:33:46 2018 commencing in-memory singleton removal
  145. Mon Dec 17 13:33:48 2018 begin with 29610845 relations and 31270014 unique ideals
  146. Mon Dec 17 13:34:02 2018 reduce to 29124490 relations and 27444252 ideals in 7 passes
  147. Mon Dec 17 13:34:02 2018 max relations containing the same ideal: 73
  148. Mon Dec 17 13:34:12 2018 removing 2556683 relations and 1739487 ideals in 817196 cliques
  149. Mon Dec 17 13:34:13 2018 commencing in-memory singleton removal
  150. Mon Dec 17 13:34:15 2018 begin with 26567807 relations and 27444252 unique ideals
  151. Mon Dec 17 13:34:27 2018 reduce to 26384047 relations and 25516312 ideals in 7 passes
  152. Mon Dec 17 13:34:27 2018 max relations containing the same ideal: 69
  153. Mon Dec 17 13:34:39 2018 relations with 0 large ideals: 56511
  154. Mon Dec 17 13:34:39 2018 relations with 1 large ideals: 15199
  155. Mon Dec 17 13:34:39 2018 relations with 2 large ideals: 182710
  156. Mon Dec 17 13:34:39 2018 relations with 3 large ideals: 1069490
  157. Mon Dec 17 13:34:39 2018 relations with 4 large ideals: 3373314
  158. Mon Dec 17 13:34:39 2018 relations with 5 large ideals: 7010484
  159. Mon Dec 17 13:34:39 2018 relations with 6 large ideals: 6863461
  160. Mon Dec 17 13:34:39 2018 relations with 7+ large ideals: 7812878
  161. Mon Dec 17 13:34:39 2018 commencing 2-way merge
  162. Mon Dec 17 13:34:53 2018 reduce to 18757160 relation sets and 17889425 unique ideals
  163. Mon Dec 17 13:34:53 2018 commencing full merge
  164. Mon Dec 17 13:44:56 2018 memory use: 833.3 MB
  165. Mon Dec 17 13:44:57 2018 found 84364 cycles, need 4132701
  166. Mon Dec 17 13:44:57 2018 too few cycles, matrix probably cannot build
  167. Mon Dec 17 14:25:23 2018
  168. Mon Dec 17 14:25:23 2018
  169. Mon Dec 17 14:25:23 2018 Msieve v. 1.53 (SVN 988M)
  170. Mon Dec 17 14:25:23 2018 random seeds: 40364528 3ff2e5a4
  171. Mon Dec 17 14:25:23 2018 factoring 116926894224530093843501142872853724776505186581784476069613780604454521940225516291305684163583123377562199822721464837210201851105665563727650806739495317371590425926365551 (174 digits)
  172. Mon Dec 17 14:25:24 2018 searching for 15-digit factors
  173. Mon Dec 17 14:25:24 2018 commencing number field sieve (174-digit input)
  174. Mon Dec 17 14:25:24 2018 R0: 8538323413450849900970017037940802745289307058918668807
  175. Mon Dec 17 14:25:24 2018 R1: -36893488147419103232
  176. Mon Dec 17 14:25:24 2018 A0: 1
  177. Mon Dec 17 14:25:24 2018 A1: -1
  178. Mon Dec 17 14:25:24 2018 A2: 1
  179. Mon Dec 17 14:25:24 2018 A3: -1
  180. Mon Dec 17 14:25:24 2018 A4: 1
  181. Mon Dec 17 14:25:24 2018 skew 1.00, size 2.180e-22, alpha 1.694, combined = 2.359e-13 rroots = 0
  182. Mon Dec 17 14:25:24 2018
  183. Mon Dec 17 14:25:24 2018 commencing relation filtering
  184. Mon Dec 17 14:25:24 2018 setting target matrix density to 120.0
  185. Mon Dec 17 14:25:24 2018 estimated available RAM is 32768.0 MB
  186. Mon Dec 17 14:25:24 2018 commencing duplicate removal, pass 1
  187. Mon Dec 17 14:40:05 2018 error -15 reading relation 150409497
  188. Mon Dec 17 14:40:32 2018 error -15 reading relation 155013052
  189. Mon Dec 17 14:42:15 2018 error -5 reading relation 172703306
  190. Mon Dec 17 14:42:16 2018 error -15 reading relation 172763403
  191. Mon Dec 17 14:42:52 2018 error -1 reading relation 178985887
  192. Mon Dec 17 14:45:19 2018 error -5 reading relation 203960776
  193. Mon Dec 17 14:45:45 2018 skipped 988 relations with b > 2^32
  194. Mon Dec 17 14:45:45 2018 skipped 1 relations with composite factors
  195. Mon Dec 17 14:45:45 2018 found 9473770 hash collisions in 208240976 relations
  196. Mon Dec 17 14:45:45 2018 commencing duplicate removal, pass 2
  197. Mon Dec 17 14:46:32 2018 found 0 duplicates and 208240976 unique relations
  198. Mon Dec 17 14:46:32 2018 memory use: 522.4 MB
  199. Mon Dec 17 14:46:32 2018 reading ideals above 217382912
  200. Mon Dec 17 14:46:32 2018 commencing singleton removal, initial pass
  201. Mon Dec 17 15:00:39 2018 memory use: 3012.0 MB
  202. Mon Dec 17 15:00:39 2018 reading all ideals from disk
  203. Mon Dec 17 15:00:40 2018 memory use: 3238.1 MB
  204. Mon Dec 17 15:00:46 2018 commencing in-memory singleton removal
  205. Mon Dec 17 15:00:51 2018 begin with 208240976 relations and 151150113 unique ideals
  206. Mon Dec 17 15:02:02 2018 reduce to 146016502 relations and 83243227 ideals in 13 passes
  207. Mon Dec 17 15:02:02 2018 max relations containing the same ideal: 45
  208. Mon Dec 17 15:02:12 2018 reading ideals above 720000
  209. Mon Dec 17 15:02:13 2018 commencing singleton removal, initial pass
  210. Mon Dec 17 15:15:45 2018 memory use: 2756.0 MB
  211. Mon Dec 17 15:15:45 2018 reading all ideals from disk
  212. Mon Dec 17 15:15:49 2018 memory use: 5699.3 MB
  213. Mon Dec 17 15:16:00 2018 keeping 106472069 ideals with weight <= 200, target excess is 744001
  214. Mon Dec 17 15:16:13 2018 commencing in-memory singleton removal
  215. Mon Dec 17 15:16:23 2018 begin with 146016502 relations and 106472069 unique ideals
  216. Mon Dec 17 15:17:34 2018 reduce to 145993653 relations and 106449060 ideals in 7 passes
  217. Mon Dec 17 15:17:34 2018 max relations containing the same ideal: 200
  218. Mon Dec 17 15:18:24 2018 removing 9427600 relations and 7427600 ideals in 2000000 cliques
  219. Mon Dec 17 15:18:27 2018 commencing in-memory singleton removal
  220. Mon Dec 17 15:18:36 2018 begin with 136566053 relations and 106449060 unique ideals
  221. Mon Dec 17 15:19:43 2018 reduce to 136115094 relations and 98562435 ideals in 7 passes
  222. Mon Dec 17 15:19:43 2018 max relations containing the same ideal: 198
  223. Mon Dec 17 15:20:29 2018 removing 7199827 relations and 5199827 ideals in 2000000 cliques
  224. Mon Dec 17 15:20:32 2018 commencing in-memory singleton removal
  225. Mon Dec 17 15:20:40 2018 begin with 128915267 relations and 98562435 unique ideals
  226. Mon Dec 17 15:21:43 2018 reduce to 128615016 relations and 93057692 ideals in 7 passes
  227. Mon Dec 17 15:21:43 2018 max relations containing the same ideal: 194
  228. Mon Dec 17 15:22:27 2018 removing 6569363 relations and 4569363 ideals in 2000000 cliques
  229. Mon Dec 17 15:22:29 2018 commencing in-memory singleton removal
  230. Mon Dec 17 15:22:37 2018 begin with 122045653 relations and 93057692 unique ideals
  231. Mon Dec 17 15:23:36 2018 reduce to 121790320 relations and 88229108 ideals in 7 passes
  232. Mon Dec 17 15:23:36 2018 max relations containing the same ideal: 188
  233. Mon Dec 17 15:24:18 2018 removing 6231557 relations and 4231557 ideals in 2000000 cliques
  234. Mon Dec 17 15:24:21 2018 commencing in-memory singleton removal
  235. Mon Dec 17 15:24:28 2018 begin with 115558763 relations and 88229108 unique ideals
  236. Mon Dec 17 15:25:16 2018 reduce to 115326520 relations and 83761714 ideals in 6 passes
  237. Mon Dec 17 15:25:16 2018 max relations containing the same ideal: 183
  238. Mon Dec 17 15:25:55 2018 removing 6013206 relations and 4013206 ideals in 2000000 cliques
  239. Mon Dec 17 15:25:58 2018 commencing in-memory singleton removal
  240. Mon Dec 17 15:26:05 2018 begin with 109313314 relations and 83761714 unique ideals
  241. Mon Dec 17 15:26:50 2018 reduce to 109093398 relations and 79525064 ideals in 6 passes
  242. Mon Dec 17 15:26:50 2018 max relations containing the same ideal: 178
  243. Mon Dec 17 15:27:28 2018 removing 5854885 relations and 3854885 ideals in 2000000 cliques
  244. Mon Dec 17 15:27:30 2018 commencing in-memory singleton removal
  245. Mon Dec 17 15:27:36 2018 begin with 103238513 relations and 79525064 unique ideals
  246. Mon Dec 17 15:28:19 2018 reduce to 103025882 relations and 75453872 ideals in 6 passes
  247. Mon Dec 17 15:28:19 2018 max relations containing the same ideal: 172
  248. Mon Dec 17 15:28:54 2018 removing 5733142 relations and 3733142 ideals in 2000000 cliques
  249. Mon Dec 17 15:28:57 2018 commencing in-memory singleton removal
  250. Mon Dec 17 15:29:03 2018 begin with 97292740 relations and 75453872 unique ideals
  251. Mon Dec 17 15:29:43 2018 reduce to 97084334 relations and 71508537 ideals in 6 passes
  252. Mon Dec 17 15:29:43 2018 max relations containing the same ideal: 165
  253. Mon Dec 17 15:30:16 2018 removing 5638302 relations and 3638302 ideals in 2000000 cliques
  254. Mon Dec 17 15:30:18 2018 commencing in-memory singleton removal
  255. Mon Dec 17 15:30:24 2018 begin with 91446032 relations and 71508537 unique ideals
  256. Mon Dec 17 15:31:01 2018 reduce to 91238254 relations and 67658444 ideals in 6 passes
  257. Mon Dec 17 15:31:01 2018 max relations containing the same ideal: 159
  258. Mon Dec 17 15:31:33 2018 removing 5560465 relations and 3560465 ideals in 2000000 cliques
  259. Mon Dec 17 15:31:35 2018 commencing in-memory singleton removal
  260. Mon Dec 17 15:31:41 2018 begin with 85677789 relations and 67658444 unique ideals
  261. Mon Dec 17 15:32:10 2018 reduce to 85469725 relations and 63885694 ideals in 5 passes
  262. Mon Dec 17 15:32:10 2018 max relations containing the same ideal: 151
  263. Mon Dec 17 15:32:39 2018 removing 5496695 relations and 3496695 ideals in 2000000 cliques
  264. Mon Dec 17 15:32:41 2018 commencing in-memory singleton removal
  265. Mon Dec 17 15:32:46 2018 begin with 79973030 relations and 63885694 unique ideals
  266. Mon Dec 17 15:33:18 2018 reduce to 79762345 relations and 60173760 ideals in 6 passes
  267. Mon Dec 17 15:33:18 2018 max relations containing the same ideal: 145
  268. Mon Dec 17 15:33:46 2018 removing 5443742 relations and 3443742 ideals in 2000000 cliques
  269. Mon Dec 17 15:33:48 2018 commencing in-memory singleton removal
  270. Mon Dec 17 15:33:53 2018 begin with 74318603 relations and 60173760 unique ideals
  271. Mon Dec 17 15:34:22 2018 reduce to 74102442 relations and 56508889 ideals in 6 passes
  272. Mon Dec 17 15:34:22 2018 max relations containing the same ideal: 139
  273. Mon Dec 17 15:34:48 2018 removing 5397786 relations and 3397786 ideals in 2000000 cliques
  274. Mon Dec 17 15:34:50 2018 commencing in-memory singleton removal
  275. Mon Dec 17 15:34:54 2018 begin with 68704656 relations and 56508889 unique ideals
  276. Mon Dec 17 15:35:26 2018 reduce to 68481676 relations and 52882820 ideals in 7 passes
  277. Mon Dec 17 15:35:26 2018 max relations containing the same ideal: 132
  278. Mon Dec 17 15:35:50 2018 removing 5358940 relations and 3358940 ideals in 2000000 cliques
  279. Mon Dec 17 15:35:52 2018 commencing in-memory singleton removal
  280. Mon Dec 17 15:35:56 2018 begin with 63122736 relations and 52882820 unique ideals
  281. Mon Dec 17 15:36:21 2018 reduce to 62889668 relations and 49284753 ideals in 6 passes
  282. Mon Dec 17 15:36:21 2018 max relations containing the same ideal: 127
  283. Mon Dec 17 15:36:43 2018 removing 5327574 relations and 3327574 ideals in 2000000 cliques
  284. Mon Dec 17 15:36:45 2018 commencing in-memory singleton removal
  285. Mon Dec 17 15:36:48 2018 begin with 57562094 relations and 49284753 unique ideals
  286. Mon Dec 17 15:37:10 2018 reduce to 57316236 relations and 45704328 ideals in 6 passes
  287. Mon Dec 17 15:37:10 2018 max relations containing the same ideal: 117
  288. Mon Dec 17 15:37:31 2018 removing 5302091 relations and 3302091 ideals in 2000000 cliques
  289. Mon Dec 17 15:37:32 2018 commencing in-memory singleton removal
  290. Mon Dec 17 15:37:35 2018 begin with 52014145 relations and 45704328 unique ideals
  291. Mon Dec 17 15:37:56 2018 reduce to 51751648 relations and 42131967 ideals in 6 passes
  292. Mon Dec 17 15:37:56 2018 max relations containing the same ideal: 110
  293. Mon Dec 17 15:38:14 2018 removing 5279520 relations and 3279520 ideals in 2000000 cliques
  294. Mon Dec 17 15:38:15 2018 commencing in-memory singleton removal
  295. Mon Dec 17 15:38:18 2018 begin with 46472128 relations and 42131967 unique ideals
  296. Mon Dec 17 15:38:39 2018 reduce to 46184188 relations and 38555082 ideals in 7 passes
  297. Mon Dec 17 15:38:39 2018 max relations containing the same ideal: 105
  298. Mon Dec 17 15:38:55 2018 removing 5270450 relations and 3270450 ideals in 2000000 cliques
  299. Mon Dec 17 15:38:57 2018 commencing in-memory singleton removal
  300. Mon Dec 17 15:38:59 2018 begin with 40913738 relations and 38555082 unique ideals
  301. Mon Dec 17 15:39:17 2018 reduce to 40589376 relations and 34948215 ideals in 7 passes
  302. Mon Dec 17 15:39:17 2018 max relations containing the same ideal: 96
  303. Mon Dec 17 15:39:32 2018 removing 5278298 relations and 3278298 ideals in 2000000 cliques
  304. Mon Dec 17 15:39:33 2018 commencing in-memory singleton removal
  305. Mon Dec 17 15:39:35 2018 begin with 35311078 relations and 34948215 unique ideals
  306. Mon Dec 17 15:39:49 2018 reduce to 34926994 relations and 31270014 ideals in 6 passes
  307. Mon Dec 17 15:39:49 2018 max relations containing the same ideal: 90
  308. Mon Dec 17 15:40:01 2018 removing 5316149 relations and 3316149 ideals in 2000000 cliques
  309. Mon Dec 17 15:40:03 2018 commencing in-memory singleton removal
  310. Mon Dec 17 15:40:04 2018 begin with 29610845 relations and 31270014 unique ideals
  311. Mon Dec 17 15:40:17 2018 reduce to 29124490 relations and 27444252 ideals in 7 passes
  312. Mon Dec 17 15:40:17 2018 max relations containing the same ideal: 73
  313. Mon Dec 17 15:40:27 2018 removing 2556683 relations and 1739487 ideals in 817196 cliques
  314. Mon Dec 17 15:40:28 2018 commencing in-memory singleton removal
  315. Mon Dec 17 15:40:30 2018 begin with 26567807 relations and 27444252 unique ideals
  316. Mon Dec 17 15:40:41 2018 reduce to 26384047 relations and 25516312 ideals in 7 passes
  317. Mon Dec 17 15:40:41 2018 max relations containing the same ideal: 69
  318. Mon Dec 17 15:40:53 2018 relations with 0 large ideals: 56511
  319. Mon Dec 17 15:40:53 2018 relations with 1 large ideals: 15199
  320. Mon Dec 17 15:40:53 2018 relations with 2 large ideals: 182710
  321. Mon Dec 17 15:40:53 2018 relations with 3 large ideals: 1069490
  322. Mon Dec 17 15:40:53 2018 relations with 4 large ideals: 3373314
  323. Mon Dec 17 15:40:53 2018 relations with 5 large ideals: 7010484
  324. Mon Dec 17 15:40:53 2018 relations with 6 large ideals: 6863461
  325. Mon Dec 17 15:40:53 2018 relations with 7+ large ideals: 7812878
  326. Mon Dec 17 15:40:53 2018 commencing 2-way merge
  327. Mon Dec 17 15:41:06 2018 reduce to 18757160 relation sets and 17889425 unique ideals
  328. Mon Dec 17 15:41:06 2018 commencing full merge
  329. Mon Dec 17 15:47:06 2018 memory use: 2178.4 MB
  330. Mon Dec 17 15:47:10 2018 found 8221954 cycles, need 8191625
  331. Mon Dec 17 15:47:10 2018 weight of 8191625 cycles is about 983542080 (120.07/cycle)
  332. Mon Dec 17 15:47:10 2018 distribution of cycle lengths:
  333. Mon Dec 17 15:47:10 2018 1 relations: 199545
  334. Mon Dec 17 15:47:10 2018 2 relations: 339849
  335. Mon Dec 17 15:47:10 2018 3 relations: 468952
  336. Mon Dec 17 15:47:10 2018 4 relations: 533840
  337. Mon Dec 17 15:47:10 2018 5 relations: 578532
  338. Mon Dec 17 15:47:10 2018 6 relations: 600433
  339. Mon Dec 17 15:47:10 2018 7 relations: 606491
  340. Mon Dec 17 15:47:10 2018 8 relations: 592036
  341. Mon Dec 17 15:47:10 2018 9 relations: 565621
  342. Mon Dec 17 15:47:10 2018 10+ relations: 3706326
  343. Mon Dec 17 15:47:10 2018 heaviest cycle: 28 relations
  344. Mon Dec 17 15:47:13 2018 commencing cycle optimization
  345. Mon Dec 17 15:47:33 2018 start with 79104761 relations
  346. Mon Dec 17 15:51:05 2018 pruned 4728709 relations
  347. Mon Dec 17 15:51:05 2018 memory use: 1911.1 MB
  348. Mon Dec 17 15:51:05 2018 distribution of cycle lengths:
  349. Mon Dec 17 15:51:05 2018 1 relations: 199545
  350. Mon Dec 17 15:51:05 2018 2 relations: 349919
  351. Mon Dec 17 15:51:05 2018 3 relations: 492600
  352. Mon Dec 17 15:51:05 2018 4 relations: 563274
  353. Mon Dec 17 15:51:05 2018 5 relations: 617971
  354. Mon Dec 17 15:51:05 2018 6 relations: 642485
  355. Mon Dec 17 15:51:05 2018 7 relations: 652936
  356. Mon Dec 17 15:51:05 2018 8 relations: 635383
  357. Mon Dec 17 15:51:05 2018 9 relations: 605624
  358. Mon Dec 17 15:51:05 2018 10+ relations: 3431888
  359. Mon Dec 17 15:51:05 2018 heaviest cycle: 28 relations
  360. Mon Dec 17 15:51:23 2018 RelProcTime: 5159
  361. Mon Dec 17 15:51:23 2018
  362. Mon Dec 17 15:51:23 2018 commencing linear algebra
  363. Mon Dec 17 15:51:24 2018 read 8191625 cycles
  364. Mon Dec 17 15:51:43 2018 cycles contain 25992658 unique relations
  365. Mon Dec 17 15:53:25 2018 read 25992658 relations
  366. Mon Dec 17 15:54:18 2018 using 20 quadratic characters above 4294917295
  367. Mon Dec 17 15:55:48 2018 building initial matrix
  368. Mon Dec 17 15:59:55 2018 memory use: 3273.5 MB
  369. Mon Dec 17 16:00:01 2018 read 8191625 cycles
  370. Mon Dec 17 16:00:02 2018 matrix is 8191448 x 8191625 (3807.7 MB) with weight 1091131577 (133.20/col)
  371. Mon Dec 17 16:00:02 2018 sparse part has weight 908057405 (110.85/col)
  372. Mon Dec 17 16:01:27 2018 filtering completed in 2 passes
  373. Mon Dec 17 16:01:28 2018 matrix is 8191360 x 8191537 (3807.7 MB) with weight 1091128304 (133.20/col)
  374. Mon Dec 17 16:01:28 2018 sparse part has weight 908056077 (110.85/col)
  375. Mon Dec 17 16:01:55 2018 matrix starts at (0, 0)
  376. Mon Dec 17 16:01:55 2018 matrix is 8191360 x 8191537 (3807.7 MB) with weight 1091128304 (133.20/col)
  377. Mon Dec 17 16:01:55 2018 sparse part has weight 908056077 (110.85/col)
  378. Mon Dec 17 16:01:55 2018 saving the first 48 matrix rows for later
  379. Mon Dec 17 16:01:57 2018 matrix includes 64 packed rows
  380. Mon Dec 17 16:01:57 2018 matrix is 8191312 x 8191537 (3643.1 MB) with weight 938186348 (114.53/col)
  381. Mon Dec 17 16:01:57 2018 sparse part has weight 873091620 (106.58/col)
  382. Mon Dec 17 16:01:57 2018 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  383. Mon Dec 17 16:02:35 2018 commencing Lanczos iteration (8 threads)
  384. Mon Dec 17 16:02:35 2018 memory use: 3095.2 MB
  385. Mon Dec 17 16:02:52 2018 linear algebra at 0.0%, ETA 22h34m
  386. Mon Dec 17 16:02:57 2018 checkpointing every 370000 dimensions
  387. Tue Dec 18 14:48:16 2018 lanczos halted after 129545 iterations (dim = 8191310)
  388. Tue Dec 18 14:48:23 2018 recovered 37 nontrivial dependencies
  389. Tue Dec 18 14:48:24 2018 BLanczosTime: 82621
  390. Tue Dec 18 14:48:24 2018
  391. Tue Dec 18 14:48:24 2018 commencing square root phase
  392. Tue Dec 18 14:48:24 2018 handling dependencies 1 to 64
  393. Tue Dec 18 14:48:24 2018 reading relations for dependency 1
  394. Tue Dec 18 14:48:26 2018 read 4092894 cycles
  395. Tue Dec 18 14:48:34 2018 cycles contain 12992760 unique relations
  396. Tue Dec 18 14:49:30 2018 read 12992760 relations
  397. Tue Dec 18 14:50:19 2018 multiplying 12992760 relations
  398. Tue Dec 18 14:53:43 2018 multiply complete, coefficients have about 333.50 million bits
  399. Tue Dec 18 14:53:44 2018 initial square root is modulo 964097
  400. Tue Dec 18 14:57:15 2018 GCD is N, no factor found
  401. Tue Dec 18 14:57:15 2018 reading relations for dependency 2
  402. Tue Dec 18 14:57:17 2018 read 4097291 cycles
  403. Tue Dec 18 14:57:25 2018 cycles contain 13000344 unique relations
  404. Tue Dec 18 14:58:21 2018 read 13000344 relations
  405. Tue Dec 18 14:59:10 2018 multiplying 13000344 relations
  406. Tue Dec 18 15:02:34 2018 multiply complete, coefficients have about 333.69 million bits
  407. Tue Dec 18 15:02:35 2018 initial square root is modulo 971833
  408. Tue Dec 18 15:06:07 2018 GCD is N, no factor found
  409. Tue Dec 18 15:06:07 2018 reading relations for dependency 3
  410. Tue Dec 18 15:06:08 2018 read 4095741 cycles
  411. Tue Dec 18 15:06:16 2018 cycles contain 12995516 unique relations
  412. Tue Dec 18 15:07:12 2018 read 12995516 relations
  413. Tue Dec 18 15:08:01 2018 multiplying 12995516 relations
  414. Tue Dec 18 15:11:26 2018 multiply complete, coefficients have about 333.57 million bits
  415. Tue Dec 18 15:11:26 2018 initial square root is modulo 966997
  416. Tue Dec 18 15:14:58 2018 GCD is 1, no factor found
  417. Tue Dec 18 15:14:58 2018 reading relations for dependency 4
  418. Tue Dec 18 15:14:59 2018 read 4094550 cycles
  419. Tue Dec 18 15:15:08 2018 cycles contain 12992486 unique relations
  420. Tue Dec 18 15:16:20 2018 read 12992486 relations
  421. Tue Dec 18 15:17:09 2018 multiplying 12992486 relations
  422. Tue Dec 18 15:20:39 2018 multiply complete, coefficients have about 333.49 million bits
  423. Tue Dec 18 15:20:39 2018 initial square root is modulo 963847
  424. Tue Dec 18 15:24:11 2018 sqrtTime: 2147
  425. Tue Dec 18 15:24:11 2018 p74 factor: 40144509875925840153291952405561045783840605561272965185673124853593867501
  426. Tue Dec 18 15:24:11 2018 p100 factor: 2912649689482189644207362360741359195516368230422870807918673133509298767639828851304409558186623051
  427. Tue Dec 18 15:24:11 2018 elapsed time 24:58:48
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