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Msieve log of 218__591_7m1

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Feb 28th, 2021
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  1. Fri Feb 26 08:12:43 2021
  2. Fri Feb 26 08:12:43 2021
  3. Fri Feb 26 08:12:43 2021 Msieve v. 1.53 (SVN 988)
  4. Fri Feb 26 08:12:43 2021 random seeds: 37c677f0 b16deb72
  5. Fri Feb 26 08:12:43 2021 factoring 4062365140226159086853829409262584382364596882924520006668281010958067503044429921032095842374159120421219004289238685956167545565868836367082122728012635998656433505633375907929289885904010457131862376694697351049 (214 digits)
  6. Fri Feb 26 08:12:44 2021 searching for 15-digit factors
  7. Fri Feb 26 08:12:45 2021 commencing number field sieve (214-digit input)
  8. Fri Feb 26 08:12:45 2021 R0: 218633757381137623379043199093904270591
  9. Fri Feb 26 08:12:45 2021 R1: -1
  10. Fri Feb 26 08:12:45 2021 A0: 1
  11. Fri Feb 26 08:12:45 2021 A1: 1
  12. Fri Feb 26 08:12:45 2021 A2: 1
  13. Fri Feb 26 08:12:45 2021 A3: 1
  14. Fri Feb 26 08:12:45 2021 A4: 1
  15. Fri Feb 26 08:12:45 2021 A5: 1
  16. Fri Feb 26 08:12:45 2021 A6: 1
  17. Fri Feb 26 08:12:45 2021 skew 1.00, size 2.161e-011, alpha 2.428, combined = 1.118e-012 rroots = 0
  18. Fri Feb 26 08:12:45 2021
  19. Fri Feb 26 08:12:45 2021 commencing relation filtering
  20. Fri Feb 26 08:12:45 2021 setting target matrix density to 120.0
  21. Fri Feb 26 08:12:45 2021 estimated available RAM is 16151.1 MB
  22. Fri Feb 26 08:12:45 2021 commencing duplicate removal, pass 1
  23. Fri Feb 26 08:13:17 2021 error -5 reading relation 4345683
  24. Fri Feb 26 08:13:45 2021 error -9 reading relation 8168476
  25. Fri Feb 26 08:13:57 2021 error -9 reading relation 9879909
  26. Fri Feb 26 08:14:42 2021 error -9 reading relation 16280775
  27. Fri Feb 26 08:14:48 2021 error -1 reading relation 17009657
  28. Fri Feb 26 08:16:32 2021 error -1 reading relation 31530691
  29. Fri Feb 26 08:16:40 2021 error -5 reading relation 32668416
  30. Fri Feb 26 08:17:53 2021 error -15 reading relation 42399398
  31. Fri Feb 26 08:18:13 2021 error -9 reading relation 45080776
  32. Fri Feb 26 08:19:01 2021 error -9 reading relation 51485125
  33. Fri Feb 26 08:19:06 2021 error -15 reading relation 52084962
  34. Fri Feb 26 08:22:38 2021 error -15 reading relation 81816338
  35. Fri Feb 26 08:24:19 2021 error -9 reading relation 96075655
  36. Fri Feb 26 08:26:04 2021 error -1 reading relation 110868771
  37. Fri Feb 26 08:26:05 2021 error -9 reading relation 110941910
  38. Fri Feb 26 08:26:05 2021 error -5 reading relation 111073941
  39. Fri Feb 26 08:26:06 2021 error -9 reading relation 111110573
  40. Fri Feb 26 08:26:07 2021 error -9 reading relation 111221414
  41. Fri Feb 26 08:26:07 2021 error -1 reading relation 111262344
  42. Fri Feb 26 08:26:07 2021 error -9 reading relation 111335371
  43. Fri Feb 26 08:26:08 2021 error -9 reading relation 111369414
  44. Fri Feb 26 08:26:08 2021 error -15 reading relation 111436763
  45. Fri Feb 26 08:26:10 2021 error -15 reading relation 111657845
  46. Fri Feb 26 08:26:10 2021 error -9 reading relation 111716418
  47. Fri Feb 26 08:26:21 2021 error -1 reading relation 113279334
  48. Fri Feb 26 08:26:25 2021 error -15 reading relation 113967429
  49. Fri Feb 26 08:26:26 2021 error -15 reading relation 114099518
  50. Fri Feb 26 08:26:27 2021 error -9 reading relation 114215219
  51. Fri Feb 26 08:26:28 2021 error -9 reading relation 114277855
  52. Fri Feb 26 08:26:28 2021 error -15 reading relation 114387546
  53. Fri Feb 26 08:26:32 2021 error -5 reading relation 114915525
  54. Fri Feb 26 08:26:33 2021 error -15 reading relation 115062018
  55. Fri Feb 26 08:26:35 2021 error -15 reading relation 115258769
  56. Fri Feb 26 08:26:41 2021 error -9 reading relation 116191239
  57. Fri Feb 26 08:27:51 2021 error -15 reading relation 125799766
  58. Fri Feb 26 08:27:53 2021 error -15 reading relation 126113751
  59. Fri Feb 26 08:27:54 2021 error -15 reading relation 126142861
  60. Fri Feb 26 08:27:54 2021 error -15 reading relation 126202879
  61. Fri Feb 26 08:27:54 2021 error -1 reading relation 126233726
  62. Fri Feb 26 08:27:55 2021 error -9 reading relation 126326903
  63. Fri Feb 26 08:27:56 2021 error -15 reading relation 126359996
  64. Fri Feb 26 08:28:55 2021 error -5 reading relation 134220305
  65. Fri Feb 26 08:28:55 2021 error -5 reading relation 134225096
  66. Fri Feb 26 08:28:55 2021 error -9 reading relation 134228785
  67. Fri Feb 26 08:28:55 2021 error -9 reading relation 134238489
  68. Fri Feb 26 08:28:55 2021 error -15 reading relation 134243528
  69. Fri Feb 26 08:29:06 2021 skipped 17 relations with b > 2^32
  70. Fri Feb 26 08:29:06 2021 skipped 17 relations with composite factors
  71. Fri Feb 26 08:29:06 2021 found 24274675 hash collisions in 135678572 relations
  72. Fri Feb 26 08:29:12 2021 added 2438534 free relations
  73. Fri Feb 26 08:29:12 2021 commencing duplicate removal, pass 2
  74. Fri Feb 26 08:30:32 2021 found 21960301 duplicates and 116156805 unique relations
  75. Fri Feb 26 08:30:32 2021 memory use: 660.8 MB
  76. Fri Feb 26 08:30:32 2021 reading ideals above 80019456
  77. Fri Feb 26 08:30:32 2021 commencing singleton removal, initial pass
  78. Fri Feb 26 08:42:02 2021 memory use: 2756.0 MB
  79. Fri Feb 26 08:42:03 2021 reading all ideals from disk
  80. Fri Feb 26 08:42:06 2021 memory use: 2083.4 MB
  81. Fri Feb 26 08:42:13 2021 commencing in-memory singleton removal
  82. Fri Feb 26 08:42:21 2021 begin with 116156805 relations and 86628751 unique ideals
  83. Fri Feb 26 08:43:25 2021 reduce to 88460788 relations and 56895596 ideals in 11 passes
  84. Fri Feb 26 08:43:25 2021 max relations containing the same ideal: 32
  85. Fri Feb 26 08:43:32 2021 reading ideals above 720000
  86. Fri Feb 26 08:43:32 2021 commencing singleton removal, initial pass
  87. Fri Feb 26 08:55:06 2021 memory use: 1506.0 MB
  88. Fri Feb 26 08:55:07 2021 reading all ideals from disk
  89. Fri Feb 26 08:55:13 2021 memory use: 3349.2 MB
  90. Fri Feb 26 08:55:28 2021 keeping 65798347 ideals with weight <= 200, target excess is 437193
  91. Fri Feb 26 08:55:41 2021 commencing in-memory singleton removal
  92. Fri Feb 26 08:55:54 2021 begin with 88460788 relations and 65798347 unique ideals
  93. Fri Feb 26 08:56:16 2021 reduce to 88460781 relations and 65798340 ideals in 2 passes
  94. Fri Feb 26 08:56:16 2021 max relations containing the same ideal: 200
  95. Fri Feb 26 08:57:10 2021 removing 7628653 relations and 5628653 ideals in 2000000 cliques
  96. Fri Feb 26 08:57:13 2021 commencing in-memory singleton removal
  97. Fri Feb 26 08:57:24 2021 begin with 80832128 relations and 65798340 unique ideals
  98. Fri Feb 26 08:58:46 2021 reduce to 80277451 relations and 59599047 ideals in 8 passes
  99. Fri Feb 26 08:58:46 2021 max relations containing the same ideal: 196
  100. Fri Feb 26 08:59:35 2021 removing 6176842 relations and 4176842 ideals in 2000000 cliques
  101. Fri Feb 26 08:59:37 2021 commencing in-memory singleton removal
  102. Fri Feb 26 08:59:48 2021 begin with 74100609 relations and 59599047 unique ideals
  103. Fri Feb 26 09:00:52 2021 reduce to 73715287 relations and 55027224 ideals in 7 passes
  104. Fri Feb 26 09:00:52 2021 max relations containing the same ideal: 187
  105. Fri Feb 26 09:01:38 2021 removing 5792457 relations and 3792457 ideals in 2000000 cliques
  106. Fri Feb 26 09:01:41 2021 commencing in-memory singleton removal
  107. Fri Feb 26 09:01:50 2021 begin with 67922830 relations and 55027224 unique ideals
  108. Fri Feb 26 09:02:48 2021 reduce to 67576402 relations and 50879273 ideals in 7 passes
  109. Fri Feb 26 09:02:49 2021 max relations containing the same ideal: 177
  110. Fri Feb 26 09:03:31 2021 removing 5600327 relations and 3600327 ideals in 2000000 cliques
  111. Fri Feb 26 09:03:33 2021 commencing in-memory singleton removal
  112. Fri Feb 26 09:03:41 2021 begin with 61976075 relations and 50879273 unique ideals
  113. Fri Feb 26 09:04:22 2021 reduce to 61639381 relations and 46933190 ideals in 6 passes
  114. Fri Feb 26 09:04:22 2021 max relations containing the same ideal: 167
  115. Fri Feb 26 09:05:00 2021 removing 5491858 relations and 3491858 ideals in 2000000 cliques
  116. Fri Feb 26 09:05:02 2021 commencing in-memory singleton removal
  117. Fri Feb 26 09:05:11 2021 begin with 56147523 relations and 46933190 unique ideals
  118. Fri Feb 26 09:05:51 2021 reduce to 55801856 relations and 43085546 ideals in 6 passes
  119. Fri Feb 26 09:05:51 2021 max relations containing the same ideal: 158
  120. Fri Feb 26 09:06:28 2021 removing 5428442 relations and 3428442 ideals in 2000000 cliques
  121. Fri Feb 26 09:06:29 2021 commencing in-memory singleton removal
  122. Fri Feb 26 09:06:36 2021 begin with 50373414 relations and 43085546 unique ideals
  123. Fri Feb 26 09:07:13 2021 reduce to 50009682 relations and 39281900 ideals in 6 passes
  124. Fri Feb 26 09:07:13 2021 max relations containing the same ideal: 148
  125. Fri Feb 26 09:07:45 2021 removing 5401244 relations and 3401244 ideals in 2000000 cliques
  126. Fri Feb 26 09:07:46 2021 commencing in-memory singleton removal
  127. Fri Feb 26 09:07:53 2021 begin with 44608438 relations and 39281900 unique ideals
  128. Fri Feb 26 09:08:30 2021 reduce to 44211918 relations and 35470172 ideals in 7 passes
  129. Fri Feb 26 09:08:30 2021 max relations containing the same ideal: 134
  130. Fri Feb 26 09:08:59 2021 removing 5401745 relations and 3401745 ideals in 2000000 cliques
  131. Fri Feb 26 09:09:01 2021 commencing in-memory singleton removal
  132. Fri Feb 26 09:09:06 2021 begin with 38810173 relations and 35470172 unique ideals
  133. Fri Feb 26 09:09:39 2021 reduce to 38365693 relations and 31606404 ideals in 7 passes
  134. Fri Feb 26 09:09:39 2021 max relations containing the same ideal: 123
  135. Fri Feb 26 09:10:04 2021 removing 5428704 relations and 3428704 ideals in 2000000 cliques
  136. Fri Feb 26 09:10:05 2021 commencing in-memory singleton removal
  137. Fri Feb 26 09:10:10 2021 begin with 32936989 relations and 31606404 unique ideals
  138. Fri Feb 26 09:10:37 2021 reduce to 32423197 relations and 27640586 ideals in 7 passes
  139. Fri Feb 26 09:10:37 2021 max relations containing the same ideal: 112
  140. Fri Feb 26 09:10:58 2021 removing 5476365 relations and 3476365 ideals in 2000000 cliques
  141. Fri Feb 26 09:11:00 2021 commencing in-memory singleton removal
  142. Fri Feb 26 09:11:03 2021 begin with 26946832 relations and 27640586 unique ideals
  143. Fri Feb 26 09:11:25 2021 reduce to 26329744 relations and 23514319 ideals in 7 passes
  144. Fri Feb 26 09:11:25 2021 max relations containing the same ideal: 97
  145. Fri Feb 26 09:11:43 2021 removing 5540660 relations and 3540660 ideals in 2000000 cliques
  146. Fri Feb 26 09:11:44 2021 commencing in-memory singleton removal
  147. Fri Feb 26 09:11:47 2021 begin with 20789084 relations and 23514319 unique ideals
  148. Fri Feb 26 09:12:06 2021 reduce to 20006518 relations and 19138899 ideals in 8 passes
  149. Fri Feb 26 09:12:06 2021 max relations containing the same ideal: 83
  150. Fri Feb 26 09:12:20 2021 removing 1408555 relations and 1048080 ideals in 360475 cliques
  151. Fri Feb 26 09:12:21 2021 commencing in-memory singleton removal
  152. Fri Feb 26 09:12:24 2021 begin with 18597963 relations and 19138899 unique ideals
  153. Fri Feb 26 09:12:38 2021 reduce to 18501271 relations and 17992278 ideals in 7 passes
  154. Fri Feb 26 09:12:38 2021 max relations containing the same ideal: 76
  155. Fri Feb 26 09:12:53 2021 relations with 0 large ideals: 33478
  156. Fri Feb 26 09:12:53 2021 relations with 1 large ideals: 6604
  157. Fri Feb 26 09:12:53 2021 relations with 2 large ideals: 77430
  158. Fri Feb 26 09:12:53 2021 relations with 3 large ideals: 505915
  159. Fri Feb 26 09:12:53 2021 relations with 4 large ideals: 1789608
  160. Fri Feb 26 09:12:53 2021 relations with 5 large ideals: 3753339
  161. Fri Feb 26 09:12:53 2021 relations with 6 large ideals: 4892156
  162. Fri Feb 26 09:12:53 2021 relations with 7+ large ideals: 7442741
  163. Fri Feb 26 09:12:53 2021 commencing 2-way merge
  164. Fri Feb 26 09:13:09 2021 reduce to 12657140 relation sets and 12148147 unique ideals
  165. Fri Feb 26 09:13:09 2021 commencing full merge
  166. Fri Feb 26 09:26:58 2021 memory use: 564.2 MB
  167. Fri Feb 26 09:26:58 2021 found 47482 cycles, need 2732393
  168. Fri Feb 26 09:26:58 2021 too few cycles, matrix probably cannot build
  169. Fri Feb 26 10:00:21 2021
  170. Fri Feb 26 10:00:21 2021
  171. Fri Feb 26 10:00:21 2021 Msieve v. 1.53 (SVN 988)
  172. Fri Feb 26 10:00:21 2021 random seeds: dc223e80 9e61ac5f
  173. Fri Feb 26 10:00:21 2021 factoring 4062365140226159086853829409262584382364596882924520006668281010958067503044429921032095842374159120421219004289238685956167545565868836367082122728012635998656433505633375907929289885904010457131862376694697351049 (214 digits)
  174. Fri Feb 26 10:00:22 2021 searching for 15-digit factors
  175. Fri Feb 26 10:00:22 2021 commencing number field sieve (214-digit input)
  176. Fri Feb 26 10:00:22 2021 R0: 218633757381137623379043199093904270591
  177. Fri Feb 26 10:00:22 2021 R1: -1
  178. Fri Feb 26 10:00:22 2021 A0: 1
  179. Fri Feb 26 10:00:22 2021 A1: 1
  180. Fri Feb 26 10:00:22 2021 A2: 1
  181. Fri Feb 26 10:00:22 2021 A3: 1
  182. Fri Feb 26 10:00:22 2021 A4: 1
  183. Fri Feb 26 10:00:22 2021 A5: 1
  184. Fri Feb 26 10:00:22 2021 A6: 1
  185. Fri Feb 26 10:00:22 2021 skew 1.00, size 2.161e-011, alpha 2.428, combined = 1.118e-012 rroots = 0
  186. Fri Feb 26 10:00:22 2021
  187. Fri Feb 26 10:00:22 2021 commencing relation filtering
  188. Fri Feb 26 10:00:22 2021 setting target matrix density to 110.0
  189. Fri Feb 26 10:00:22 2021 estimated available RAM is 16151.1 MB
  190. Fri Feb 26 10:00:22 2021 commencing duplicate removal, pass 1
  191. Fri Feb 26 10:00:53 2021 error -5 reading relation 4345683
  192. Fri Feb 26 10:01:19 2021 error -9 reading relation 8168476
  193. Fri Feb 26 10:01:31 2021 error -9 reading relation 9879909
  194. Fri Feb 26 10:02:15 2021 error -9 reading relation 16280775
  195. Fri Feb 26 10:02:20 2021 error -1 reading relation 17009657
  196. Fri Feb 26 10:04:00 2021 error -1 reading relation 31530691
  197. Fri Feb 26 10:04:08 2021 error -5 reading relation 32668416
  198. Fri Feb 26 10:05:14 2021 error -15 reading relation 42399398
  199. Fri Feb 26 10:05:32 2021 error -9 reading relation 45080776
  200. Fri Feb 26 10:06:16 2021 error -9 reading relation 51485125
  201. Fri Feb 26 10:06:20 2021 error -15 reading relation 52084962
  202. Fri Feb 26 10:09:47 2021 error -15 reading relation 81816338
  203. Fri Feb 26 10:11:25 2021 error -9 reading relation 96075655
  204. Fri Feb 26 10:13:07 2021 error -1 reading relation 110868771
  205. Fri Feb 26 10:13:07 2021 error -9 reading relation 110941910
  206. Fri Feb 26 10:13:08 2021 error -5 reading relation 111073941
  207. Fri Feb 26 10:13:08 2021 error -9 reading relation 111110573
  208. Fri Feb 26 10:13:09 2021 error -9 reading relation 111221414
  209. Fri Feb 26 10:13:09 2021 error -1 reading relation 111262344
  210. Fri Feb 26 10:13:10 2021 error -9 reading relation 111335371
  211. Fri Feb 26 10:13:10 2021 error -9 reading relation 111369414
  212. Fri Feb 26 10:13:11 2021 error -15 reading relation 111436763
  213. Fri Feb 26 10:13:12 2021 error -15 reading relation 111657845
  214. Fri Feb 26 10:13:13 2021 error -9 reading relation 111716418
  215. Fri Feb 26 10:13:23 2021 error -1 reading relation 113279334
  216. Fri Feb 26 10:13:28 2021 error -15 reading relation 113967429
  217. Fri Feb 26 10:13:29 2021 error -15 reading relation 114099518
  218. Fri Feb 26 10:13:30 2021 error -9 reading relation 114215219
  219. Fri Feb 26 10:13:30 2021 error -9 reading relation 114277855
  220. Fri Feb 26 10:13:31 2021 error -15 reading relation 114387546
  221. Fri Feb 26 10:13:35 2021 error -5 reading relation 114915525
  222. Fri Feb 26 10:13:36 2021 error -15 reading relation 115062018
  223. Fri Feb 26 10:13:37 2021 error -15 reading relation 115258769
  224. Fri Feb 26 10:13:43 2021 error -9 reading relation 116191239
  225. Fri Feb 26 10:14:50 2021 error -15 reading relation 125799766
  226. Fri Feb 26 10:14:52 2021 error -15 reading relation 126113751
  227. Fri Feb 26 10:14:52 2021 error -15 reading relation 126142861
  228. Fri Feb 26 10:14:53 2021 error -15 reading relation 126202879
  229. Fri Feb 26 10:14:53 2021 error -1 reading relation 126233726
  230. Fri Feb 26 10:14:53 2021 error -9 reading relation 126326903
  231. Fri Feb 26 10:14:54 2021 error -15 reading relation 126359996
  232. Fri Feb 26 10:15:48 2021 error -5 reading relation 134220305
  233. Fri Feb 26 10:15:48 2021 error -5 reading relation 134225096
  234. Fri Feb 26 10:15:48 2021 error -9 reading relation 134228785
  235. Fri Feb 26 10:15:48 2021 error -9 reading relation 134238489
  236. Fri Feb 26 10:15:49 2021 error -15 reading relation 134243528
  237. Fri Feb 26 10:16:28 2021 skipped 17 relations with b > 2^32
  238. Fri Feb 26 10:16:28 2021 skipped 17 relations with composite factors
  239. Fri Feb 26 10:16:28 2021 found 24472775 hash collisions in 138117106 relations
  240. Fri Feb 26 10:16:28 2021 commencing duplicate removal, pass 2
  241. Fri Feb 26 10:17:46 2021 found 21960301 duplicates and 116156805 unique relations
  242. Fri Feb 26 10:17:46 2021 memory use: 660.8 MB
  243. Fri Feb 26 10:17:46 2021 reading ideals above 80019456
  244. Fri Feb 26 10:17:46 2021 commencing singleton removal, initial pass
  245. Fri Feb 26 10:29:18 2021 memory use: 2756.0 MB
  246. Fri Feb 26 10:29:18 2021 reading all ideals from disk
  247. Fri Feb 26 10:29:22 2021 memory use: 2083.4 MB
  248. Fri Feb 26 10:29:30 2021 commencing in-memory singleton removal
  249. Fri Feb 26 10:29:36 2021 begin with 116156805 relations and 86628751 unique ideals
  250. Fri Feb 26 10:30:40 2021 reduce to 88460788 relations and 56895596 ideals in 11 passes
  251. Fri Feb 26 10:30:40 2021 max relations containing the same ideal: 32
  252. Fri Feb 26 10:30:47 2021 reading ideals above 720000
  253. Fri Feb 26 10:30:47 2021 commencing singleton removal, initial pass
  254. Fri Feb 26 10:42:26 2021 memory use: 1506.0 MB
  255. Fri Feb 26 10:42:26 2021 reading all ideals from disk
  256. Fri Feb 26 10:42:32 2021 memory use: 3349.2 MB
  257. Fri Feb 26 10:42:47 2021 keeping 65798347 ideals with weight <= 200, target excess is 437193
  258. Fri Feb 26 10:43:01 2021 commencing in-memory singleton removal
  259. Fri Feb 26 10:43:14 2021 begin with 88460788 relations and 65798347 unique ideals
  260. Fri Feb 26 10:43:35 2021 reduce to 88460781 relations and 65798340 ideals in 2 passes
  261. Fri Feb 26 10:43:35 2021 max relations containing the same ideal: 200
  262. Fri Feb 26 10:44:30 2021 removing 7628653 relations and 5628653 ideals in 2000000 cliques
  263. Fri Feb 26 10:44:33 2021 commencing in-memory singleton removal
  264. Fri Feb 26 10:44:44 2021 begin with 80832128 relations and 65798340 unique ideals
  265. Fri Feb 26 10:46:05 2021 reduce to 80277451 relations and 59599047 ideals in 8 passes
  266. Fri Feb 26 10:46:05 2021 max relations containing the same ideal: 196
  267. Fri Feb 26 10:46:54 2021 removing 6176842 relations and 4176842 ideals in 2000000 cliques
  268. Fri Feb 26 10:46:56 2021 commencing in-memory singleton removal
  269. Fri Feb 26 10:47:07 2021 begin with 74100609 relations and 59599047 unique ideals
  270. Fri Feb 26 10:48:10 2021 reduce to 73715287 relations and 55027224 ideals in 7 passes
  271. Fri Feb 26 10:48:10 2021 max relations containing the same ideal: 187
  272. Fri Feb 26 10:48:56 2021 removing 5792457 relations and 3792457 ideals in 2000000 cliques
  273. Fri Feb 26 10:48:58 2021 commencing in-memory singleton removal
  274. Fri Feb 26 10:49:07 2021 begin with 67922830 relations and 55027224 unique ideals
  275. Fri Feb 26 10:50:05 2021 reduce to 67576402 relations and 50879273 ideals in 7 passes
  276. Fri Feb 26 10:50:05 2021 max relations containing the same ideal: 177
  277. Fri Feb 26 10:50:47 2021 removing 5600327 relations and 3600327 ideals in 2000000 cliques
  278. Fri Feb 26 10:50:50 2021 commencing in-memory singleton removal
  279. Fri Feb 26 10:50:58 2021 begin with 61976075 relations and 50879273 unique ideals
  280. Fri Feb 26 10:51:44 2021 reduce to 61639381 relations and 46933190 ideals in 6 passes
  281. Fri Feb 26 10:51:44 2021 max relations containing the same ideal: 167
  282. Fri Feb 26 10:52:23 2021 removing 5491858 relations and 3491858 ideals in 2000000 cliques
  283. Fri Feb 26 10:52:25 2021 commencing in-memory singleton removal
  284. Fri Feb 26 10:52:33 2021 begin with 56147523 relations and 46933190 unique ideals
  285. Fri Feb 26 10:53:14 2021 reduce to 55801856 relations and 43085546 ideals in 6 passes
  286. Fri Feb 26 10:53:14 2021 max relations containing the same ideal: 158
  287. Fri Feb 26 10:53:49 2021 removing 5428442 relations and 3428442 ideals in 2000000 cliques
  288. Fri Feb 26 10:53:51 2021 commencing in-memory singleton removal
  289. Fri Feb 26 10:53:58 2021 begin with 50373414 relations and 43085546 unique ideals
  290. Fri Feb 26 10:54:30 2021 reduce to 50009682 relations and 39281900 ideals in 6 passes
  291. Fri Feb 26 10:54:30 2021 max relations containing the same ideal: 148
  292. Fri Feb 26 10:54:58 2021 removing 5401244 relations and 3401244 ideals in 2000000 cliques
  293. Fri Feb 26 10:55:00 2021 commencing in-memory singleton removal
  294. Fri Feb 26 10:55:06 2021 begin with 44608438 relations and 39281900 unique ideals
  295. Fri Feb 26 10:55:42 2021 reduce to 44211918 relations and 35470172 ideals in 7 passes
  296. Fri Feb 26 10:55:42 2021 max relations containing the same ideal: 134
  297. Fri Feb 26 10:56:12 2021 removing 5401745 relations and 3401745 ideals in 2000000 cliques
  298. Fri Feb 26 10:56:14 2021 commencing in-memory singleton removal
  299. Fri Feb 26 10:56:19 2021 begin with 38810173 relations and 35470172 unique ideals
  300. Fri Feb 26 10:56:51 2021 reduce to 38365693 relations and 31606404 ideals in 7 passes
  301. Fri Feb 26 10:56:51 2021 max relations containing the same ideal: 123
  302. Fri Feb 26 10:57:17 2021 removing 5428704 relations and 3428704 ideals in 2000000 cliques
  303. Fri Feb 26 10:57:18 2021 commencing in-memory singleton removal
  304. Fri Feb 26 10:57:23 2021 begin with 32936989 relations and 31606404 unique ideals
  305. Fri Feb 26 10:57:51 2021 reduce to 32423197 relations and 27640586 ideals in 7 passes
  306. Fri Feb 26 10:57:51 2021 max relations containing the same ideal: 112
  307. Fri Feb 26 10:58:13 2021 removing 5476365 relations and 3476365 ideals in 2000000 cliques
  308. Fri Feb 26 10:58:15 2021 commencing in-memory singleton removal
  309. Fri Feb 26 10:58:18 2021 begin with 26946832 relations and 27640586 unique ideals
  310. Fri Feb 26 10:58:41 2021 reduce to 26329744 relations and 23514319 ideals in 7 passes
  311. Fri Feb 26 10:58:41 2021 max relations containing the same ideal: 97
  312. Fri Feb 26 10:58:59 2021 removing 5540660 relations and 3540660 ideals in 2000000 cliques
  313. Fri Feb 26 10:59:01 2021 commencing in-memory singleton removal
  314. Fri Feb 26 10:59:03 2021 begin with 20789084 relations and 23514319 unique ideals
  315. Fri Feb 26 10:59:22 2021 reduce to 20006518 relations and 19138899 ideals in 8 passes
  316. Fri Feb 26 10:59:22 2021 max relations containing the same ideal: 83
  317. Fri Feb 26 10:59:36 2021 removing 1408555 relations and 1048080 ideals in 360475 cliques
  318. Fri Feb 26 10:59:37 2021 commencing in-memory singleton removal
  319. Fri Feb 26 10:59:39 2021 begin with 18597963 relations and 19138899 unique ideals
  320. Fri Feb 26 10:59:54 2021 reduce to 18501271 relations and 17992278 ideals in 7 passes
  321. Fri Feb 26 10:59:54 2021 max relations containing the same ideal: 76
  322. Fri Feb 26 11:00:10 2021 relations with 0 large ideals: 33478
  323. Fri Feb 26 11:00:10 2021 relations with 1 large ideals: 6604
  324. Fri Feb 26 11:00:10 2021 relations with 2 large ideals: 77430
  325. Fri Feb 26 11:00:10 2021 relations with 3 large ideals: 505915
  326. Fri Feb 26 11:00:10 2021 relations with 4 large ideals: 1789608
  327. Fri Feb 26 11:00:10 2021 relations with 5 large ideals: 3753339
  328. Fri Feb 26 11:00:10 2021 relations with 6 large ideals: 4892156
  329. Fri Feb 26 11:00:10 2021 relations with 7+ large ideals: 7442741
  330. Fri Feb 26 11:00:10 2021 commencing 2-way merge
  331. Fri Feb 26 11:00:27 2021 reduce to 12657140 relation sets and 12148147 unique ideals
  332. Fri Feb 26 11:00:27 2021 commencing full merge
  333. Fri Feb 26 11:07:26 2021 memory use: 1690.2 MB
  334. Fri Feb 26 11:07:30 2021 found 5829175 cycles, need 5800347
  335. Fri Feb 26 11:07:30 2021 weight of 5800347 cycles is about 638215355 (110.03/cycle)
  336. Fri Feb 26 11:07:30 2021 distribution of cycle lengths:
  337. Fri Feb 26 11:07:30 2021 1 relations: 249391
  338. Fri Feb 26 11:07:30 2021 2 relations: 355395
  339. Fri Feb 26 11:07:30 2021 3 relations: 424287
  340. Fri Feb 26 11:07:30 2021 4 relations: 442675
  341. Fri Feb 26 11:07:30 2021 5 relations: 454497
  342. Fri Feb 26 11:07:30 2021 6 relations: 449832
  343. Fri Feb 26 11:07:30 2021 7 relations: 436947
  344. Fri Feb 26 11:07:30 2021 8 relations: 412548
  345. Fri Feb 26 11:07:30 2021 9 relations: 381533
  346. Fri Feb 26 11:07:30 2021 10+ relations: 2193242
  347. Fri Feb 26 11:07:30 2021 heaviest cycle: 28 relations
  348. Fri Feb 26 11:07:35 2021 commencing cycle optimization
  349. Fri Feb 26 11:07:48 2021 start with 49992487 relations
  350. Fri Feb 26 11:10:34 2021 pruned 2455647 relations
  351. Fri Feb 26 11:10:34 2021 memory use: 1285.7 MB
  352. Fri Feb 26 11:10:34 2021 distribution of cycle lengths:
  353. Fri Feb 26 11:10:34 2021 1 relations: 249391
  354. Fri Feb 26 11:10:34 2021 2 relations: 363516
  355. Fri Feb 26 11:10:34 2021 3 relations: 442082
  356. Fri Feb 26 11:10:34 2021 4 relations: 461947
  357. Fri Feb 26 11:10:34 2021 5 relations: 478945
  358. Fri Feb 26 11:10:34 2021 6 relations: 473434
  359. Fri Feb 26 11:10:34 2021 7 relations: 462422
  360. Fri Feb 26 11:10:34 2021 8 relations: 433894
  361. Fri Feb 26 11:10:34 2021 9 relations: 400363
  362. Fri Feb 26 11:10:34 2021 10+ relations: 2034353
  363. Fri Feb 26 11:10:34 2021 heaviest cycle: 28 relations
  364. Fri Feb 26 11:10:46 2021 RelProcTime: 4224
  365. Fri Feb 26 11:10:46 2021
  366. Fri Feb 26 11:10:46 2021 commencing linear algebra
  367. Fri Feb 26 11:10:47 2021 read 5800347 cycles
  368. Fri Feb 26 11:11:02 2021 cycles contain 18242875 unique relations
  369. Fri Feb 26 11:12:42 2021 read 18242875 relations
  370. Fri Feb 26 11:13:24 2021 using 20 quadratic characters above 4294917295
  371. Fri Feb 26 11:14:30 2021 building initial matrix
  372. Fri Feb 26 11:18:37 2021 memory use: 2294.2 MB
  373. Fri Feb 26 11:18:42 2021 read 5800347 cycles
  374. Fri Feb 26 11:18:43 2021 matrix is 5800170 x 5800347 (2514.2 MB) with weight 716853791 (123.59/col)
  375. Fri Feb 26 11:18:43 2021 sparse part has weight 595287673 (102.63/col)
  376. Fri Feb 26 11:20:01 2021 filtering completed in 2 passes
  377. Fri Feb 26 11:20:02 2021 matrix is 5800006 x 5800183 (2514.2 MB) with weight 716848835 (123.59/col)
  378. Fri Feb 26 11:20:02 2021 sparse part has weight 595286109 (102.63/col)
  379. Fri Feb 26 11:20:22 2021 matrix starts at (0, 0)
  380. Fri Feb 26 11:20:23 2021 matrix is 5800006 x 5800183 (2514.2 MB) with weight 716848835 (123.59/col)
  381. Fri Feb 26 11:20:23 2021 sparse part has weight 595286109 (102.63/col)
  382. Fri Feb 26 11:20:23 2021 saving the first 48 matrix rows for later
  383. Fri Feb 26 11:20:25 2021 matrix includes 64 packed rows
  384. Fri Feb 26 11:20:26 2021 matrix is 5799958 x 5800183 (2403.4 MB) with weight 613028060 (105.69/col)
  385. Fri Feb 26 11:20:26 2021 sparse part has weight 572025344 (98.62/col)
  386. Fri Feb 26 11:20:26 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  387. Fri Feb 26 11:20:49 2021 commencing Lanczos iteration (4 threads)
  388. Fri Feb 26 11:20:49 2021 memory use: 2027.5 MB
  389. Fri Feb 26 11:21:30 2021 linear algebra at 0.0%, ETA 41h19m
  390. Fri Feb 26 11:21:42 2021 checkpointing every 150000 dimensions
  391. Sun Feb 28 08:27:07 2021 lanczos halted after 91727 iterations (dim = 5799957)
  392. Sun Feb 28 08:27:13 2021 recovered 38 nontrivial dependencies
  393. Sun Feb 28 08:27:15 2021 BLanczosTime: 162989
  394. Sun Feb 28 08:27:15 2021
  395. Sun Feb 28 08:27:15 2021 commencing square root phase
  396. Sun Feb 28 08:27:15 2021 handling dependencies 1 to 64
  397. Sun Feb 28 08:27:15 2021 reading relations for dependency 1
  398. Sun Feb 28 08:27:16 2021 read 2899700 cycles
  399. Sun Feb 28 08:27:23 2021 cycles contain 9121140 unique relations
  400. Sun Feb 28 08:28:25 2021 read 9121140 relations
  401. Sun Feb 28 08:29:17 2021 multiplying 9121140 relations
  402. Sun Feb 28 08:34:05 2021 multiply complete, coefficients have about 223.02 million bits
  403. Sun Feb 28 08:34:07 2021 initial square root is modulo 100840841
  404. Sun Feb 28 08:39:28 2021 sqrtTime: 733
  405. Sun Feb 28 08:39:28 2021 p92 factor: 38939808123077027327257544540054850597668321449319361609836981678941815520345939535975025407
  406. Sun Feb 28 08:39:28 2021 p123 factor: 104324220791901288099677966056524689471893967771227346378364633458889760191814499640595596866202599301602980252174500447607
  407. Sun Feb 28 08:39:28 2021 elapsed time 46:39:07
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