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11p9_539M

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Sep 15th, 2020
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  1. Thu Sep 10 08:55:21 2020
  2. Thu Sep 10 08:55:21 2020
  3. Thu Sep 10 08:55:21 2020 Msieve v. 1.53 (SVN 988M)
  4. Thu Sep 10 08:55:21 2020 random seeds: 6f1131fb 856057b6
  5. Thu Sep 10 08:55:21 2020 factoring 16117400296290213770414201423435450312545327804626258952026223867793735117971717655860262982696071342180458746798580087298936718882663197801945171953736113863000564929382875407012106737937948485282991833628187563897 (215 digits)
  6. Thu Sep 10 08:55:22 2020 searching for 15-digit factors
  7. Thu Sep 10 08:55:23 2020 commencing number field sieve (215-digit input)
  8. Thu Sep 10 08:55:23 2020 R0: -1067246835802564009905467146098483937162461093648980
  9. Thu Sep 10 08:55:23 2020 R1: 2357034422421656884874968156248701316061736272803
  10. Thu Sep 10 08:55:23 2020 A0: -1331
  11. Thu Sep 10 08:55:23 2020 A1: -1331
  12. Thu Sep 10 08:55:23 2020 A2: -363
  13. Thu Sep 10 08:55:23 2020 A3: 0
  14. Thu Sep 10 08:55:23 2020 A4: 11
  15. Thu Sep 10 08:55:23 2020 A5: 1
  16. Thu Sep 10 08:55:23 2020 skew 4.22, size 1.508e-17, alpha 1.979, combined = 5.758e-14 rroots = 5
  17. Thu Sep 10 08:55:23 2020
  18. Thu Sep 10 08:55:23 2020 commencing relation filtering
  19. Thu Sep 10 08:55:23 2020 setting target matrix density to 120.0
  20. Thu Sep 10 08:55:23 2020 estimated available RAM is 32768.0 MB
  21. Thu Sep 10 08:55:23 2020 commencing duplicate removal, pass 1
  22. Thu Sep 10 09:04:47 2020 error -15 reading relation 91949998
  23. Thu Sep 10 09:25:02 2020 error -15 reading relation 294133224
  24. Thu Sep 10 09:27:55 2020 error -1 reading relation 322752401
  25. Thu Sep 10 09:32:45 2020 skipped 190 relations with b > 2^32
  26. Thu Sep 10 09:32:45 2020 skipped 5 relations with composite factors
  27. Thu Sep 10 09:32:45 2020 found 28607162 hash collisions in 370613732 relations
  28. Thu Sep 10 09:32:50 2020 added 2926300 free relations
  29. Thu Sep 10 09:32:51 2020 commencing duplicate removal, pass 2
  30. Thu Sep 10 09:48:33 2020 found 0 duplicates and 373540032 unique relations
  31. Thu Sep 10 09:48:33 2020 memory use: 1321.5 MB
  32. Thu Sep 10 09:48:34 2020 reading ideals above 312410112
  33. Thu Sep 10 09:48:34 2020 commencing singleton removal, initial pass
  34. Thu Sep 10 10:15:33 2020 memory use: 6024.0 MB
  35. Thu Sep 10 10:15:34 2020 reading all ideals from disk
  36. Thu Sep 10 10:18:14 2020 memory use: 6784.2 MB
  37. Thu Sep 10 10:18:28 2020 commencing in-memory singleton removal
  38. Thu Sep 10 10:18:41 2020 begin with 373540032 relations and 310649532 unique ideals
  39. Thu Sep 10 10:21:29 2020 reduce to 248212193 relations and 173094197 ideals in 14 passes
  40. Thu Sep 10 10:21:29 2020 max relations containing the same ideal: 46
  41. Thu Sep 10 10:21:59 2020 reading ideals above 720000
  42. Thu Sep 10 10:21:59 2020 commencing singleton removal, initial pass
  43. Thu Sep 10 10:47:25 2020 memory use: 5512.0 MB
  44. Thu Sep 10 10:47:26 2020 reading all ideals from disk
  45. Thu Sep 10 10:51:27 2020 memory use: 10209.7 MB
  46. Thu Sep 10 10:51:51 2020 keeping 205667903 ideals with weight <= 200, target excess is 1197863
  47. Thu Sep 10 10:52:16 2020 commencing in-memory singleton removal
  48. Thu Sep 10 10:52:35 2020 begin with 248212193 relations and 205667903 unique ideals
  49. Thu Sep 10 10:55:38 2020 reduce to 248174776 relations and 205630486 ideals in 9 passes
  50. Thu Sep 10 10:55:38 2020 max relations containing the same ideal: 200
  51. Thu Sep 10 10:57:16 2020 removing 13531747 relations and 11531747 ideals in 2000000 cliques
  52. Thu Sep 10 10:57:22 2020 commencing in-memory singleton removal
  53. Thu Sep 10 10:57:39 2020 begin with 234643029 relations and 205630486 unique ideals
  54. Thu Sep 10 11:00:13 2020 reduce to 234032751 relations and 193481573 ideals in 8 passes
  55. Thu Sep 10 11:00:13 2020 max relations containing the same ideal: 199
  56. Thu Sep 10 11:01:46 2020 removing 10221128 relations and 8221128 ideals in 2000000 cliques
  57. Thu Sep 10 11:01:50 2020 commencing in-memory singleton removal
  58. Thu Sep 10 11:02:07 2020 begin with 223811623 relations and 193481573 unique ideals
  59. Thu Sep 10 11:04:16 2020 reduce to 223427182 relations and 184872392 ideals in 7 passes
  60. Thu Sep 10 11:04:16 2020 max relations containing the same ideal: 194
  61. Thu Sep 10 11:05:44 2020 removing 9190089 relations and 7190089 ideals in 2000000 cliques
  62. Thu Sep 10 11:05:49 2020 commencing in-memory singleton removal
  63. Thu Sep 10 11:06:05 2020 begin with 214237093 relations and 184872392 unique ideals
  64. Thu Sep 10 11:08:24 2020 reduce to 213907202 relations and 177349387 ideals in 8 passes
  65. Thu Sep 10 11:08:24 2020 max relations containing the same ideal: 191
  66. Thu Sep 10 11:09:49 2020 removing 8631583 relations and 6631583 ideals in 2000000 cliques
  67. Thu Sep 10 11:09:53 2020 commencing in-memory singleton removal
  68. Thu Sep 10 11:10:08 2020 begin with 205275619 relations and 177349387 unique ideals
  69. Thu Sep 10 11:12:04 2020 reduce to 204971453 relations and 170410775 ideals in 7 passes
  70. Thu Sep 10 11:12:04 2020 max relations containing the same ideal: 187
  71. Thu Sep 10 11:13:26 2020 removing 8265967 relations and 6265967 ideals in 2000000 cliques
  72. Thu Sep 10 11:13:30 2020 commencing in-memory singleton removal
  73. Thu Sep 10 11:13:44 2020 begin with 196705486 relations and 170410775 unique ideals
  74. Thu Sep 10 11:15:51 2020 reduce to 196416097 relations and 163852642 ideals in 8 passes
  75. Thu Sep 10 11:15:51 2020 max relations containing the same ideal: 181
  76. Thu Sep 10 11:17:09 2020 removing 8013625 relations and 6013625 ideals in 2000000 cliques
  77. Thu Sep 10 11:17:13 2020 commencing in-memory singleton removal
  78. Thu Sep 10 11:17:27 2020 begin with 188402472 relations and 163852642 unique ideals
  79. Thu Sep 10 11:18:59 2020 reduce to 188120899 relations and 157554716 ideals in 6 passes
  80. Thu Sep 10 11:18:59 2020 max relations containing the same ideal: 178
  81. Thu Sep 10 11:20:14 2020 removing 7831511 relations and 5831511 ideals in 2000000 cliques
  82. Thu Sep 10 11:20:17 2020 commencing in-memory singleton removal
  83. Thu Sep 10 11:20:30 2020 begin with 180289388 relations and 157554716 unique ideals
  84. Thu Sep 10 11:22:28 2020 reduce to 180011141 relations and 151442165 ideals in 8 passes
  85. Thu Sep 10 11:22:28 2020 max relations containing the same ideal: 173
  86. Thu Sep 10 11:23:41 2020 removing 7693002 relations and 5693002 ideals in 2000000 cliques
  87. Thu Sep 10 11:23:44 2020 commencing in-memory singleton removal
  88. Thu Sep 10 11:23:57 2020 begin with 172318139 relations and 151442165 unique ideals
  89. Thu Sep 10 11:25:21 2020 reduce to 172039817 relations and 145467930 ideals in 6 passes
  90. Thu Sep 10 11:25:21 2020 max relations containing the same ideal: 170
  91. Thu Sep 10 11:26:30 2020 removing 7591537 relations and 5591537 ideals in 2000000 cliques
  92. Thu Sep 10 11:26:33 2020 commencing in-memory singleton removal
  93. Thu Sep 10 11:26:45 2020 begin with 164448280 relations and 145467930 unique ideals
  94. Thu Sep 10 11:28:18 2020 reduce to 164168806 relations and 139593998 ideals in 7 passes
  95. Thu Sep 10 11:28:18 2020 max relations containing the same ideal: 163
  96. Thu Sep 10 11:29:27 2020 removing 7511591 relations and 5511591 ideals in 2000000 cliques
  97. Thu Sep 10 11:29:31 2020 commencing in-memory singleton removal
  98. Thu Sep 10 11:29:43 2020 begin with 156657215 relations and 139593998 unique ideals
  99. Thu Sep 10 11:31:10 2020 reduce to 156373091 relations and 133795153 ideals in 7 passes
  100. Thu Sep 10 11:31:10 2020 max relations containing the same ideal: 159
  101. Thu Sep 10 11:32:14 2020 removing 7453963 relations and 5453963 ideals in 2000000 cliques
  102. Thu Sep 10 11:32:17 2020 commencing in-memory singleton removal
  103. Thu Sep 10 11:32:27 2020 begin with 148919128 relations and 133795153 unique ideals
  104. Thu Sep 10 11:33:49 2020 reduce to 148627880 relations and 128046549 ideals in 7 passes
  105. Thu Sep 10 11:33:49 2020 max relations containing the same ideal: 152
  106. Thu Sep 10 11:34:49 2020 removing 7412481 relations and 5412481 ideals in 2000000 cliques
  107. Thu Sep 10 11:34:52 2020 commencing in-memory singleton removal
  108. Thu Sep 10 11:35:02 2020 begin with 141215399 relations and 128046549 unique ideals
  109. Thu Sep 10 11:36:20 2020 reduce to 140916907 relations and 122332055 ideals in 7 passes
  110. Thu Sep 10 11:36:20 2020 max relations containing the same ideal: 147
  111. Thu Sep 10 11:37:17 2020 removing 7384710 relations and 5384710 ideals in 2000000 cliques
  112. Thu Sep 10 11:37:20 2020 commencing in-memory singleton removal
  113. Thu Sep 10 11:37:30 2020 begin with 133532197 relations and 122332055 unique ideals
  114. Thu Sep 10 11:38:43 2020 reduce to 133223054 relations and 116634204 ideals in 7 passes
  115. Thu Sep 10 11:38:43 2020 max relations containing the same ideal: 141
  116. Thu Sep 10 11:39:37 2020 removing 7368130 relations and 5368130 ideals in 2000000 cliques
  117. Thu Sep 10 11:39:40 2020 commencing in-memory singleton removal
  118. Thu Sep 10 11:39:48 2020 begin with 125854924 relations and 116634204 unique ideals
  119. Thu Sep 10 11:40:47 2020 reduce to 125535096 relations and 110941900 ideals in 6 passes
  120. Thu Sep 10 11:40:47 2020 max relations containing the same ideal: 137
  121. Thu Sep 10 11:41:39 2020 removing 7358605 relations and 5358605 ideals in 2000000 cliques
  122. Thu Sep 10 11:41:41 2020 commencing in-memory singleton removal
  123. Thu Sep 10 11:41:49 2020 begin with 118176491 relations and 110941900 unique ideals
  124. Thu Sep 10 11:42:53 2020 reduce to 117840752 relations and 105242854 ideals in 7 passes
  125. Thu Sep 10 11:42:53 2020 max relations containing the same ideal: 131
  126. Thu Sep 10 11:43:41 2020 removing 7356487 relations and 5356487 ideals in 2000000 cliques
  127. Thu Sep 10 11:43:44 2020 commencing in-memory singleton removal
  128. Thu Sep 10 11:43:52 2020 begin with 110484265 relations and 105242854 unique ideals
  129. Thu Sep 10 11:44:51 2020 reduce to 110129167 relations and 99526022 ideals in 7 passes
  130. Thu Sep 10 11:44:51 2020 max relations containing the same ideal: 126
  131. Thu Sep 10 11:45:36 2020 removing 7363980 relations and 5363980 ideals in 2000000 cliques
  132. Thu Sep 10 11:45:39 2020 commencing in-memory singleton removal
  133. Thu Sep 10 11:45:46 2020 begin with 102765187 relations and 99526022 unique ideals
  134. Thu Sep 10 11:46:41 2020 reduce to 102390211 relations and 93781134 ideals in 7 passes
  135. Thu Sep 10 11:46:41 2020 max relations containing the same ideal: 120
  136. Thu Sep 10 11:47:23 2020 removing 7381113 relations and 5381113 ideals in 2000000 cliques
  137. Thu Sep 10 11:47:26 2020 commencing in-memory singleton removal
  138. Thu Sep 10 11:47:32 2020 begin with 95009098 relations and 93781134 unique ideals
  139. Thu Sep 10 11:48:22 2020 reduce to 94606476 relations and 87990737 ideals in 7 passes
  140. Thu Sep 10 11:48:22 2020 max relations containing the same ideal: 114
  141. Thu Sep 10 11:49:02 2020 removing 7409472 relations and 5409472 ideals in 2000000 cliques
  142. Thu Sep 10 11:49:04 2020 commencing in-memory singleton removal
  143. Thu Sep 10 11:49:10 2020 begin with 87197004 relations and 87990737 unique ideals
  144. Thu Sep 10 11:49:56 2020 reduce to 86758079 relations and 82134311 ideals in 7 passes
  145. Thu Sep 10 11:49:56 2020 max relations containing the same ideal: 107
  146. Thu Sep 10 11:50:32 2020 removing 7453597 relations and 5453597 ideals in 2000000 cliques
  147. Thu Sep 10 11:50:34 2020 commencing in-memory singleton removal
  148. Thu Sep 10 11:50:40 2020 begin with 79304482 relations and 82134311 unique ideals
  149. Thu Sep 10 11:51:26 2020 reduce to 78818050 relations and 76184553 ideals in 8 passes
  150. Thu Sep 10 11:51:26 2020 max relations containing the same ideal: 101
  151. Thu Sep 10 11:51:59 2020 removing 5121641 relations and 3877666 ideals in 1243975 cliques
  152. Thu Sep 10 11:52:01 2020 commencing in-memory singleton removal
  153. Thu Sep 10 11:52:06 2020 begin with 73696409 relations and 76184553 unique ideals
  154. Thu Sep 10 11:52:44 2020 reduce to 73447072 relations and 72054040 ideals in 7 passes
  155. Thu Sep 10 11:52:44 2020 max relations containing the same ideal: 98
  156. Thu Sep 10 11:53:22 2020 relations with 0 large ideals: 96402
  157. Thu Sep 10 11:53:22 2020 relations with 1 large ideals: 20406
  158. Thu Sep 10 11:53:22 2020 relations with 2 large ideals: 254108
  159. Thu Sep 10 11:53:22 2020 relations with 3 large ideals: 1692754
  160. Thu Sep 10 11:53:22 2020 relations with 4 large ideals: 6190548
  161. Thu Sep 10 11:53:22 2020 relations with 5 large ideals: 13711972
  162. Thu Sep 10 11:53:22 2020 relations with 6 large ideals: 21326508
  163. Thu Sep 10 11:53:22 2020 relations with 7+ large ideals: 30154374
  164. Thu Sep 10 11:53:22 2020 commencing 2-way merge
  165. Thu Sep 10 11:54:06 2020 reduce to 48502040 relation sets and 47109008 unique ideals
  166. Thu Sep 10 11:54:06 2020 commencing full merge
  167. Thu Sep 10 12:28:50 2020 memory use: 2182.1 MB
  168. Thu Sep 10 12:28:51 2020 found 244164 cycles, need 10328678
  169. Thu Sep 10 12:28:51 2020 too few cycles, matrix probably cannot build
  170. Thu Sep 10 12:39:55 2020
  171. Thu Sep 10 12:39:55 2020
  172. Thu Sep 10 12:39:55 2020 Msieve v. 1.53 (SVN 988M)
  173. Thu Sep 10 12:39:55 2020 random seeds: 04b0e469 72e6f54d
  174. Thu Sep 10 12:39:55 2020 factoring 16117400296290213770414201423435450312545327804626258952026223867793735117971717655860262982696071342180458746798580087298936718882663197801945171953736113863000564929382875407012106737937948485282991833628187563897 (215 digits)
  175. Thu Sep 10 12:39:56 2020 searching for 15-digit factors
  176. Thu Sep 10 12:39:57 2020 commencing number field sieve (215-digit input)
  177. Thu Sep 10 12:39:57 2020 R0: -1067246835802564009905467146098483937162461093648980
  178. Thu Sep 10 12:39:57 2020 R1: 2357034422421656884874968156248701316061736272803
  179. Thu Sep 10 12:39:57 2020 A0: -1331
  180. Thu Sep 10 12:39:57 2020 A1: -1331
  181. Thu Sep 10 12:39:57 2020 A2: -363
  182. Thu Sep 10 12:39:57 2020 A3: 0
  183. Thu Sep 10 12:39:57 2020 A4: 11
  184. Thu Sep 10 12:39:57 2020 A5: 1
  185. Thu Sep 10 12:39:57 2020 skew 4.22, size 1.508e-17, alpha 1.979, combined = 5.758e-14 rroots = 5
  186. Thu Sep 10 12:39:57 2020
  187. Thu Sep 10 12:39:57 2020 commencing relation filtering
  188. Thu Sep 10 12:39:57 2020 setting target matrix density to 116.0
  189. Thu Sep 10 12:39:57 2020 estimated available RAM is 32768.0 MB
  190. Thu Sep 10 12:39:57 2020 commencing duplicate removal, pass 1
  191. Thu Sep 10 12:49:07 2020 error -15 reading relation 91949998
  192. Thu Sep 10 13:09:37 2020 error -15 reading relation 294133224
  193. Thu Sep 10 13:12:34 2020 error -1 reading relation 322752401
  194. Thu Sep 10 13:17:53 2020 skipped 190 relations with b > 2^32
  195. Thu Sep 10 13:17:53 2020 skipped 5 relations with composite factors
  196. Thu Sep 10 13:17:53 2020 found 29034933 hash collisions in 373540032 relations
  197. Thu Sep 10 13:17:53 2020 commencing duplicate removal, pass 2
  198. Thu Sep 10 13:33:34 2020 found 0 duplicates and 373540032 unique relations
  199. Thu Sep 10 13:33:34 2020 memory use: 1321.5 MB
  200. Thu Sep 10 13:33:34 2020 reading ideals above 312410112
  201. Thu Sep 10 13:33:34 2020 commencing singleton removal, initial pass
  202. Thu Sep 10 14:01:11 2020 memory use: 6024.0 MB
  203. Thu Sep 10 14:01:12 2020 reading all ideals from disk
  204. Thu Sep 10 14:03:51 2020 memory use: 6784.2 MB
  205. Thu Sep 10 14:04:06 2020 commencing in-memory singleton removal
  206. Thu Sep 10 14:04:20 2020 begin with 373540032 relations and 310649532 unique ideals
  207. Thu Sep 10 14:07:16 2020 reduce to 248212193 relations and 173094197 ideals in 14 passes
  208. Thu Sep 10 14:07:16 2020 max relations containing the same ideal: 46
  209. Thu Sep 10 14:07:46 2020 reading ideals above 720000
  210. Thu Sep 10 14:07:47 2020 commencing singleton removal, initial pass
  211. Thu Sep 10 14:33:55 2020 memory use: 5512.0 MB
  212. Thu Sep 10 14:33:56 2020 reading all ideals from disk
  213. Thu Sep 10 14:37:55 2020 memory use: 10209.7 MB
  214. Thu Sep 10 14:38:18 2020 keeping 205667903 ideals with weight <= 200, target excess is 1197863
  215. Thu Sep 10 14:38:43 2020 commencing in-memory singleton removal
  216. Thu Sep 10 14:39:01 2020 begin with 248212193 relations and 205667903 unique ideals
  217. Thu Sep 10 14:42:00 2020 reduce to 248174776 relations and 205630486 ideals in 9 passes
  218. Thu Sep 10 14:42:00 2020 max relations containing the same ideal: 200
  219. Thu Sep 10 14:43:41 2020 removing 13531747 relations and 11531747 ideals in 2000000 cliques
  220. Thu Sep 10 14:43:46 2020 commencing in-memory singleton removal
  221. Thu Sep 10 14:44:04 2020 begin with 234643029 relations and 205630486 unique ideals
  222. Thu Sep 10 14:46:34 2020 reduce to 234032751 relations and 193481573 ideals in 8 passes
  223. Thu Sep 10 14:46:34 2020 max relations containing the same ideal: 199
  224. Thu Sep 10 14:48:05 2020 removing 10221128 relations and 8221128 ideals in 2000000 cliques
  225. Thu Sep 10 14:48:09 2020 commencing in-memory singleton removal
  226. Thu Sep 10 14:48:26 2020 begin with 223811623 relations and 193481573 unique ideals
  227. Thu Sep 10 14:50:31 2020 reduce to 223427182 relations and 184872392 ideals in 7 passes
  228. Thu Sep 10 14:50:31 2020 max relations containing the same ideal: 194
  229. Thu Sep 10 14:52:03 2020 removing 9190089 relations and 7190089 ideals in 2000000 cliques
  230. Thu Sep 10 14:52:08 2020 commencing in-memory singleton removal
  231. Thu Sep 10 14:52:23 2020 begin with 214237093 relations and 184872392 unique ideals
  232. Thu Sep 10 14:54:41 2020 reduce to 213907202 relations and 177349387 ideals in 8 passes
  233. Thu Sep 10 14:54:41 2020 max relations containing the same ideal: 191
  234. Thu Sep 10 14:56:11 2020 removing 8631583 relations and 6631583 ideals in 2000000 cliques
  235. Thu Sep 10 14:56:15 2020 commencing in-memory singleton removal
  236. Thu Sep 10 14:56:31 2020 begin with 205275619 relations and 177349387 unique ideals
  237. Thu Sep 10 14:58:28 2020 reduce to 204971453 relations and 170410775 ideals in 7 passes
  238. Thu Sep 10 14:58:28 2020 max relations containing the same ideal: 187
  239. Thu Sep 10 14:59:48 2020 removing 8265967 relations and 6265967 ideals in 2000000 cliques
  240. Thu Sep 10 14:59:52 2020 commencing in-memory singleton removal
  241. Thu Sep 10 15:00:06 2020 begin with 196705486 relations and 170410775 unique ideals
  242. Thu Sep 10 15:02:11 2020 reduce to 196416097 relations and 163852642 ideals in 8 passes
  243. Thu Sep 10 15:02:11 2020 max relations containing the same ideal: 181
  244. Thu Sep 10 15:03:28 2020 removing 8013625 relations and 6013625 ideals in 2000000 cliques
  245. Thu Sep 10 15:03:32 2020 commencing in-memory singleton removal
  246. Thu Sep 10 15:03:45 2020 begin with 188402472 relations and 163852642 unique ideals
  247. Thu Sep 10 15:05:13 2020 reduce to 188120899 relations and 157554716 ideals in 6 passes
  248. Thu Sep 10 15:05:13 2020 max relations containing the same ideal: 178
  249. Thu Sep 10 15:06:29 2020 removing 7831511 relations and 5831511 ideals in 2000000 cliques
  250. Thu Sep 10 15:06:33 2020 commencing in-memory singleton removal
  251. Thu Sep 10 15:06:46 2020 begin with 180289388 relations and 157554716 unique ideals
  252. Thu Sep 10 15:08:40 2020 reduce to 180011141 relations and 151442165 ideals in 8 passes
  253. Thu Sep 10 15:08:40 2020 max relations containing the same ideal: 173
  254. Thu Sep 10 15:09:54 2020 removing 7693002 relations and 5693002 ideals in 2000000 cliques
  255. Thu Sep 10 15:09:58 2020 commencing in-memory singleton removal
  256. Thu Sep 10 15:10:10 2020 begin with 172318139 relations and 151442165 unique ideals
  257. Thu Sep 10 15:11:34 2020 reduce to 172039817 relations and 145467930 ideals in 6 passes
  258. Thu Sep 10 15:11:34 2020 max relations containing the same ideal: 170
  259. Thu Sep 10 15:12:50 2020 removing 7591537 relations and 5591537 ideals in 2000000 cliques
  260. Thu Sep 10 15:12:53 2020 commencing in-memory singleton removal
  261. Thu Sep 10 15:13:05 2020 begin with 164448280 relations and 145467930 unique ideals
  262. Thu Sep 10 15:14:35 2020 reduce to 164168806 relations and 139593998 ideals in 7 passes
  263. Thu Sep 10 15:14:35 2020 max relations containing the same ideal: 163
  264. Thu Sep 10 15:15:44 2020 removing 7511591 relations and 5511591 ideals in 2000000 cliques
  265. Thu Sep 10 15:15:48 2020 commencing in-memory singleton removal
  266. Thu Sep 10 15:15:59 2020 begin with 156657215 relations and 139593998 unique ideals
  267. Thu Sep 10 15:17:26 2020 reduce to 156373091 relations and 133795153 ideals in 7 passes
  268. Thu Sep 10 15:17:26 2020 max relations containing the same ideal: 159
  269. Thu Sep 10 15:18:32 2020 removing 7453963 relations and 5453963 ideals in 2000000 cliques
  270. Thu Sep 10 15:18:35 2020 commencing in-memory singleton removal
  271. Thu Sep 10 15:18:45 2020 begin with 148919128 relations and 133795153 unique ideals
  272. Thu Sep 10 15:20:07 2020 reduce to 148627880 relations and 128046549 ideals in 7 passes
  273. Thu Sep 10 15:20:07 2020 max relations containing the same ideal: 152
  274. Thu Sep 10 15:21:13 2020 removing 7412481 relations and 5412481 ideals in 2000000 cliques
  275. Thu Sep 10 15:21:16 2020 commencing in-memory singleton removal
  276. Thu Sep 10 15:21:26 2020 begin with 141215399 relations and 128046549 unique ideals
  277. Thu Sep 10 15:22:46 2020 reduce to 140916907 relations and 122332055 ideals in 7 passes
  278. Thu Sep 10 15:22:46 2020 max relations containing the same ideal: 147
  279. Thu Sep 10 15:23:45 2020 removing 7384710 relations and 5384710 ideals in 2000000 cliques
  280. Thu Sep 10 15:23:49 2020 commencing in-memory singleton removal
  281. Thu Sep 10 15:23:58 2020 begin with 133532197 relations and 122332055 unique ideals
  282. Thu Sep 10 15:25:09 2020 reduce to 133223054 relations and 116634204 ideals in 7 passes
  283. Thu Sep 10 15:25:09 2020 max relations containing the same ideal: 141
  284. Thu Sep 10 15:26:04 2020 removing 7368130 relations and 5368130 ideals in 2000000 cliques
  285. Thu Sep 10 15:26:07 2020 commencing in-memory singleton removal
  286. Thu Sep 10 15:26:15 2020 begin with 125854924 relations and 116634204 unique ideals
  287. Thu Sep 10 15:27:12 2020 reduce to 125535096 relations and 110941900 ideals in 6 passes
  288. Thu Sep 10 15:27:12 2020 max relations containing the same ideal: 137
  289. Thu Sep 10 15:28:05 2020 removing 7358605 relations and 5358605 ideals in 2000000 cliques
  290. Thu Sep 10 15:28:08 2020 commencing in-memory singleton removal
  291. Thu Sep 10 15:28:16 2020 begin with 118176491 relations and 110941900 unique ideals
  292. Thu Sep 10 15:29:18 2020 reduce to 117840752 relations and 105242854 ideals in 7 passes
  293. Thu Sep 10 15:29:18 2020 max relations containing the same ideal: 131
  294. Thu Sep 10 15:30:07 2020 removing 7356487 relations and 5356487 ideals in 2000000 cliques
  295. Thu Sep 10 15:30:10 2020 commencing in-memory singleton removal
  296. Thu Sep 10 15:30:17 2020 begin with 110484265 relations and 105242854 unique ideals
  297. Thu Sep 10 15:31:16 2020 reduce to 110129167 relations and 99526022 ideals in 7 passes
  298. Thu Sep 10 15:31:16 2020 max relations containing the same ideal: 126
  299. Thu Sep 10 15:32:04 2020 removing 7363980 relations and 5363980 ideals in 2000000 cliques
  300. Thu Sep 10 15:32:07 2020 commencing in-memory singleton removal
  301. Thu Sep 10 15:32:14 2020 begin with 102765187 relations and 99526022 unique ideals
  302. Thu Sep 10 15:33:08 2020 reduce to 102390211 relations and 93781134 ideals in 7 passes
  303. Thu Sep 10 15:33:08 2020 max relations containing the same ideal: 120
  304. Thu Sep 10 15:33:53 2020 removing 7381113 relations and 5381113 ideals in 2000000 cliques
  305. Thu Sep 10 15:33:55 2020 commencing in-memory singleton removal
  306. Thu Sep 10 15:34:02 2020 begin with 95009098 relations and 93781134 unique ideals
  307. Thu Sep 10 15:34:51 2020 reduce to 94606476 relations and 87990737 ideals in 7 passes
  308. Thu Sep 10 15:34:51 2020 max relations containing the same ideal: 114
  309. Thu Sep 10 15:35:31 2020 removing 7409472 relations and 5409472 ideals in 2000000 cliques
  310. Thu Sep 10 15:35:34 2020 commencing in-memory singleton removal
  311. Thu Sep 10 15:35:39 2020 begin with 87197004 relations and 87990737 unique ideals
  312. Thu Sep 10 15:36:25 2020 reduce to 86758079 relations and 82134311 ideals in 7 passes
  313. Thu Sep 10 15:36:25 2020 max relations containing the same ideal: 107
  314. Thu Sep 10 15:37:00 2020 removing 7453597 relations and 5453597 ideals in 2000000 cliques
  315. Thu Sep 10 15:37:03 2020 commencing in-memory singleton removal
  316. Thu Sep 10 15:37:08 2020 begin with 79304482 relations and 82134311 unique ideals
  317. Thu Sep 10 15:37:54 2020 reduce to 78818050 relations and 76184553 ideals in 8 passes
  318. Thu Sep 10 15:37:54 2020 max relations containing the same ideal: 101
  319. Thu Sep 10 15:38:27 2020 removing 5121641 relations and 3877666 ideals in 1243975 cliques
  320. Thu Sep 10 15:38:29 2020 commencing in-memory singleton removal
  321. Thu Sep 10 15:38:34 2020 begin with 73696409 relations and 76184553 unique ideals
  322. Thu Sep 10 15:39:11 2020 reduce to 73447072 relations and 72054040 ideals in 7 passes
  323. Thu Sep 10 15:39:11 2020 max relations containing the same ideal: 98
  324. Thu Sep 10 15:39:49 2020 relations with 0 large ideals: 96402
  325. Thu Sep 10 15:39:49 2020 relations with 1 large ideals: 20406
  326. Thu Sep 10 15:39:49 2020 relations with 2 large ideals: 254108
  327. Thu Sep 10 15:39:49 2020 relations with 3 large ideals: 1692754
  328. Thu Sep 10 15:39:49 2020 relations with 4 large ideals: 6190548
  329. Thu Sep 10 15:39:49 2020 relations with 5 large ideals: 13711972
  330. Thu Sep 10 15:39:49 2020 relations with 6 large ideals: 21326508
  331. Thu Sep 10 15:39:49 2020 relations with 7+ large ideals: 30154374
  332. Thu Sep 10 15:39:49 2020 commencing 2-way merge
  333. Thu Sep 10 15:40:33 2020 reduce to 48502040 relation sets and 47109008 unique ideals
  334. Thu Sep 10 15:40:33 2020 commencing full merge
  335. Thu Sep 10 16:00:16 2020 memory use: 6155.3 MB
  336. Thu Sep 10 16:00:28 2020 found 21783446 cycles, need 21775208
  337. Thu Sep 10 16:00:29 2020 weight of 21775208 cycles is about 2526153453 (116.01/cycle)
  338. Thu Sep 10 16:00:29 2020 distribution of cycle lengths:
  339. Thu Sep 10 16:00:29 2020 1 relations: 1123872
  340. Thu Sep 10 16:00:29 2020 2 relations: 1396984
  341. Thu Sep 10 16:00:29 2020 3 relations: 1552258
  342. Thu Sep 10 16:00:29 2020 4 relations: 1569027
  343. Thu Sep 10 16:00:29 2020 5 relations: 1557364
  344. Thu Sep 10 16:00:29 2020 6 relations: 1519273
  345. Thu Sep 10 16:00:29 2020 7 relations: 1470974
  346. Thu Sep 10 16:00:29 2020 8 relations: 1403233
  347. Thu Sep 10 16:00:29 2020 9 relations: 1327072
  348. Thu Sep 10 16:00:29 2020 10+ relations: 8855151
  349. Thu Sep 10 16:00:29 2020 heaviest cycle: 28 relations
  350. Thu Sep 10 16:00:40 2020 commencing cycle optimization
  351. Thu Sep 10 16:01:33 2020 start with 195446732 relations
  352. Thu Sep 10 16:11:02 2020 pruned 8583650 relations
  353. Thu Sep 10 16:11:02 2020 memory use: 5065.1 MB
  354. Thu Sep 10 16:11:02 2020 distribution of cycle lengths:
  355. Thu Sep 10 16:11:02 2020 1 relations: 1123872
  356. Thu Sep 10 16:11:02 2020 2 relations: 1426787
  357. Thu Sep 10 16:11:02 2020 3 relations: 1613234
  358. Thu Sep 10 16:11:02 2020 4 relations: 1628927
  359. Thu Sep 10 16:11:02 2020 5 relations: 1629682
  360. Thu Sep 10 16:11:02 2020 6 relations: 1586474
  361. Thu Sep 10 16:11:02 2020 7 relations: 1541838
  362. Thu Sep 10 16:11:02 2020 8 relations: 1465420
  363. Thu Sep 10 16:11:02 2020 9 relations: 1384908
  364. Thu Sep 10 16:11:02 2020 10+ relations: 8374066
  365. Thu Sep 10 16:11:02 2020 heaviest cycle: 28 relations
  366. Thu Sep 10 16:12:16 2020 RelProcTime: 12739
  367. Thu Sep 10 16:12:16 2020
  368. Thu Sep 10 16:12:16 2020 commencing linear algebra
  369. Thu Sep 10 16:12:20 2020 read 21775208 cycles
  370. Thu Sep 10 16:13:12 2020 cycles contain 72656705 unique relations
  371. Thu Sep 10 16:29:05 2020 read 72656705 relations
  372. Thu Sep 10 16:32:08 2020 using 20 quadratic characters above 4294917295
  373. Thu Sep 10 16:36:17 2020 building initial matrix
  374. Thu Sep 10 16:49:12 2020 memory use: 9443.3 MB
  375. Thu Sep 10 16:53:20 2020 read 21775208 cycles
  376. Thu Sep 10 16:53:22 2020 matrix is 21775031 x 21775208 (9973.8 MB) with weight 2845400609 (130.67/col)
  377. Thu Sep 10 16:53:22 2020 sparse part has weight 2375042573 (109.07/col)
  378. Thu Sep 10 16:57:34 2020 filtering completed in 2 passes
  379. Thu Sep 10 16:57:38 2020 matrix is 21774895 x 21775072 (9973.8 MB) with weight 2845396684 (130.67/col)
  380. Thu Sep 10 16:57:38 2020 sparse part has weight 2375041512 (109.07/col)
  381. Thu Sep 10 17:02:28 2020 matrix starts at (0, 0)
  382. Thu Sep 10 17:02:30 2020 matrix is 21774895 x 21775072 (9973.8 MB) with weight 2845396684 (130.67/col)
  383. Thu Sep 10 17:02:30 2020 sparse part has weight 2375041512 (109.07/col)
  384. Thu Sep 10 17:02:30 2020 saving the first 48 matrix rows for later
  385. Thu Sep 10 17:02:33 2020 matrix includes 64 packed rows
  386. Thu Sep 10 17:02:35 2020 matrix is 21774847 x 21775072 (9575.9 MB) with weight 2444244871 (112.25/col)
  387. Thu Sep 10 17:02:35 2020 sparse part has weight 2292525515 (105.28/col)
  388. Thu Sep 10 17:02:35 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  389. Thu Sep 10 17:04:56 2020 commencing Lanczos iteration (16 threads)
  390. Thu Sep 10 17:04:56 2020 memory use: 8271.3 MB
  391. Thu Sep 10 17:05:26 2020 linear algebra at 0.0%, ETA 111h46m
  392. Thu Sep 10 17:05:36 2020 checkpointing every 200000 dimensions
  393. Mon Sep 14 16:02:27 2020
  394. Mon Sep 14 16:02:27 2020
  395. Mon Sep 14 16:02:27 2020 Msieve v. 1.53 (SVN 988M)
  396. Mon Sep 14 16:02:27 2020 random seeds: 8e693b1f 32faa42d
  397. Mon Sep 14 16:02:27 2020 factoring 16117400296290213770414201423435450312545327804626258952026223867793735117971717655860262982696071342180458746798580087298936718882663197801945171953736113863000564929382875407012106737937948485282991833628187563897 (215 digits)
  398. Mon Sep 14 16:02:28 2020 searching for 15-digit factors
  399. Mon Sep 14 16:02:29 2020 commencing number field sieve (215-digit input)
  400. Mon Sep 14 16:02:29 2020 R0: -1067246835802564009905467146098483937162461093648980
  401. Mon Sep 14 16:02:29 2020 R1: 2357034422421656884874968156248701316061736272803
  402. Mon Sep 14 16:02:29 2020 A0: -1331
  403. Mon Sep 14 16:02:29 2020 A1: -1331
  404. Mon Sep 14 16:02:29 2020 A2: -363
  405. Mon Sep 14 16:02:29 2020 A3: 0
  406. Mon Sep 14 16:02:29 2020 A4: 11
  407. Mon Sep 14 16:02:29 2020 A5: 1
  408. Mon Sep 14 16:02:29 2020 skew 4.22, size 1.508e-17, alpha 1.979, combined = 5.758e-14 rroots = 5
  409. Mon Sep 14 16:02:29 2020
  410. Mon Sep 14 16:02:29 2020 commencing linear algebra
  411. Mon Sep 14 16:06:09 2020 matrix starts at (0, 0)
  412. Mon Sep 14 16:06:11 2020 matrix is 21774895 x 21775072 (9973.8 MB) with weight 2845396684 (130.67/col)
  413. Mon Sep 14 16:06:11 2020 sparse part has weight 2375041512 (109.07/col)
  414. Mon Sep 14 16:06:11 2020 saving the first 48 matrix rows for later
  415. Mon Sep 14 16:06:14 2020 matrix includes 64 packed rows
  416. Mon Sep 14 16:06:16 2020 matrix is 21774847 x 21775072 (9575.9 MB) with weight 2444244871 (112.25/col)
  417. Mon Sep 14 16:06:16 2020 sparse part has weight 2292525515 (105.28/col)
  418. Mon Sep 14 16:06:16 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  419. Mon Sep 14 16:08:39 2020 commencing Lanczos iteration (16 threads)
  420. Mon Sep 14 16:08:39 2020 memory use: 8271.3 MB
  421. Mon Sep 14 16:08:58 2020 restarting at iteration 284652 (dim = 18000002)
  422. Mon Sep 14 16:09:27 2020 linear algebra at 82.7%, ETA 20h 4m
  423. Mon Sep 14 16:09:38 2020 checkpointing every 190000 dimensions
  424. Tue Sep 15 11:54:35 2020 lanczos halted after 344353 iterations (dim = 21774843)
  425. Tue Sep 15 11:54:54 2020 recovered 32 nontrivial dependencies
  426. Tue Sep 15 11:55:03 2020 BLanczosTime: 71554
  427. Tue Sep 15 11:55:03 2020
  428. Tue Sep 15 11:55:03 2020 commencing square root phase
  429. Tue Sep 15 11:55:03 2020 reading relations for dependency 1
  430. Tue Sep 15 11:55:22 2020 read 10885168 cycles
  431. Tue Sep 15 11:55:48 2020 cycles contain 36325660 unique relations
  432. Tue Sep 15 12:16:54 2020 read 36325660 relations
  433. Tue Sep 15 12:19:53 2020 multiplying 36325660 relations
  434. Tue Sep 15 12:36:18 2020 multiply complete, coefficients have about 976.06 million bits
  435. Tue Sep 15 12:36:21 2020 initial square root is modulo 571110469
  436. Tue Sep 15 12:53:36 2020 found factor: 469894765546570531499635429464037590208235071786259150588735209
  437. Tue Sep 15 11:56:42 2020 reading relations for dependency 11
  438. Tue Sep 15 11:56:46 2020 read 10887814 cycles
  439. Tue Sep 15 11:57:12 2020 cycles contain 36327412 unique relations
  440. Tue Sep 15 12:16:54 2020 read 36327412 relations
  441. Tue Sep 15 12:19:52 2020 multiplying 36327412 relations
  442. Tue Sep 15 12:36:07 2020 multiply complete, coefficients have about 976.12 million bits
  443. Tue Sep 15 12:36:10 2020 initial square root is modulo 571805561
  444. Tue Sep 15 12:53:25 2020 found factor: 703677101652371300856775781012547718297696195174006325065439479327
  445. Tue Sep 15 13:32:00 2020 p63 factor: 469894765546570531499635429464037590208235071786259150588735209
  446. Tue Sep 15 13:32:00 2020 p66 factor: 703677101652371300856775781012547718297696195174006325065439479327
  447. Tue Sep 15 13:32:00 2020 p86 factor: 48743977679749266959483847680174098691566815385462370723991272086244313602972676745679
  448.  
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