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5p2_427

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Jan 15th, 2021
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  1. Wed Jan 13 16:46:16 2021
  2. Wed Jan 13 16:46:16 2021
  3. Wed Jan 13 16:46:16 2021 Msieve v. 1.53 (SVN 988M)
  4. Wed Jan 13 16:46:16 2021 random seeds: db6fb3f8 bd713dc7
  5. Wed Jan 13 16:46:16 2021 factoring 29507897874110759521263650433606784693827870645040089161969292500671437638707529880158618979512210937115033683068276846916921446485873805876308557217627328142442620177576076502447533897086195364131197915721659983555183 (218 digits)
  6. Wed Jan 13 16:46:16 2021 searching for 15-digit factors
  7. Wed Jan 13 16:46:18 2021 commencing number field sieve (218-digit input)
  8. Wed Jan 13 16:46:18 2021 R0: 4336808689942017736029811203479766845703125
  9. Wed Jan 13 16:46:18 2021 R1: -2305843009213693952
  10. Wed Jan 13 16:46:18 2021 A0: 1
  11. Wed Jan 13 16:46:18 2021 A1: -1
  12. Wed Jan 13 16:46:18 2021 A2: 1
  13. Wed Jan 13 16:46:18 2021 A3: -1
  14. Wed Jan 13 16:46:18 2021 A4: 1
  15. Wed Jan 13 16:46:18 2021 A5: -1
  16. Wed Jan 13 16:46:18 2021 A6: 1
  17. Wed Jan 13 16:46:18 2021 skew 1.00, size 1.279e-12, alpha 2.428, combined = 1.390e-13 rroots = 0
  18. Wed Jan 13 16:46:18 2021
  19. Wed Jan 13 16:46:18 2021 commencing relation filtering
  20. Wed Jan 13 16:46:18 2021 setting target matrix density to 134.0
  21. Wed Jan 13 16:46:18 2021 estimated available RAM is 32768.0 MB
  22. Wed Jan 13 16:46:18 2021 commencing duplicate removal, pass 1
  23. Wed Jan 13 16:49:54 2021 error -15 reading relation 35171406
  24. Wed Jan 13 16:59:41 2021 error -1 reading relation 129352545
  25. Wed Jan 13 16:59:42 2021 error -15 reading relation 129500846
  26. Wed Jan 13 17:05:21 2021 error -11 reading relation 184502093
  27. Wed Jan 13 17:05:21 2021 error -11 reading relation 184502094
  28. Wed Jan 13 17:07:44 2021 error -15 reading relation 207724685
  29. Wed Jan 13 17:08:30 2021 skipped 527 relations with b > 2^32
  30. Wed Jan 13 17:08:30 2021 skipped 2 relations with composite factors
  31. Wed Jan 13 17:08:30 2021 found 10093926 hash collisions in 215134048 relations
  32. Wed Jan 13 17:08:35 2021 added 2438534 free relations
  33. Wed Jan 13 17:08:35 2021 commencing duplicate removal, pass 2
  34. Wed Jan 13 17:17:39 2021 found 0 duplicates and 217572582 unique relations
  35. Wed Jan 13 17:17:39 2021 memory use: 756.8 MB
  36. Wed Jan 13 17:17:40 2021 reading ideals above 159842304
  37. Wed Jan 13 17:17:40 2021 commencing singleton removal, initial pass
  38. Wed Jan 13 17:34:12 2021 memory use: 5512.0 MB
  39. Wed Jan 13 17:34:13 2021 reading all ideals from disk
  40. Wed Jan 13 17:35:39 2021 memory use: 3687.6 MB
  41. Wed Jan 13 17:35:47 2021 commencing in-memory singleton removal
  42. Wed Jan 13 17:35:54 2021 begin with 217572582 relations and 164549788 unique ideals
  43. Wed Jan 13 17:37:27 2021 reduce to 158572224 relations and 100740971 ideals in 13 passes
  44. Wed Jan 13 17:37:27 2021 max relations containing the same ideal: 44
  45. Wed Jan 13 17:37:46 2021 reading ideals above 720000
  46. Wed Jan 13 17:37:46 2021 commencing singleton removal, initial pass
  47. Wed Jan 13 17:54:21 2021 memory use: 3012.0 MB
  48. Wed Jan 13 17:54:21 2021 reading all ideals from disk
  49. Wed Jan 13 17:56:54 2021 memory use: 6444.9 MB
  50. Wed Jan 13 17:57:07 2021 keeping 117810681 ideals with weight <= 200, target excess is 861874
  51. Wed Jan 13 17:57:23 2021 commencing in-memory singleton removal
  52. Wed Jan 13 17:57:34 2021 begin with 158572224 relations and 117810681 unique ideals
  53. Wed Jan 13 17:58:23 2021 reduce to 158571915 relations and 117810372 ideals in 4 passes
  54. Wed Jan 13 17:58:23 2021 max relations containing the same ideal: 200
  55. Wed Jan 13 17:59:20 2021 removing 9576020 relations and 7576020 ideals in 2000000 cliques
  56. Wed Jan 13 17:59:24 2021 commencing in-memory singleton removal
  57. Wed Jan 13 17:59:34 2021 begin with 148995895 relations and 117810372 unique ideals
  58. Wed Jan 13 18:01:07 2021 reduce to 148564747 relations and 109796374 ideals in 8 passes
  59. Wed Jan 13 18:01:07 2021 max relations containing the same ideal: 199
  60. Wed Jan 13 18:02:00 2021 removing 7344648 relations and 5344648 ideals in 2000000 cliques
  61. Wed Jan 13 18:02:03 2021 commencing in-memory singleton removal
  62. Wed Jan 13 18:02:13 2021 begin with 141220099 relations and 109796374 unique ideals
  63. Wed Jan 13 18:03:40 2021 reduce to 140928220 relations and 104155865 ideals in 8 passes
  64. Wed Jan 13 18:03:40 2021 max relations containing the same ideal: 197
  65. Wed Jan 13 18:04:31 2021 removing 6700733 relations and 4700733 ideals in 2000000 cliques
  66. Wed Jan 13 18:04:34 2021 commencing in-memory singleton removal
  67. Wed Jan 13 18:04:43 2021 begin with 134227487 relations and 104155865 unique ideals
  68. Wed Jan 13 18:05:56 2021 reduce to 133975485 relations and 99199499 ideals in 7 passes
  69. Wed Jan 13 18:05:56 2021 max relations containing the same ideal: 191
  70. Wed Jan 13 18:06:45 2021 removing 6364492 relations and 4364492 ideals in 2000000 cliques
  71. Wed Jan 13 18:06:47 2021 commencing in-memory singleton removal
  72. Wed Jan 13 18:06:56 2021 begin with 127610993 relations and 99199499 unique ideals
  73. Wed Jan 13 18:07:55 2021 reduce to 127378528 relations and 94599232 ideals in 6 passes
  74. Wed Jan 13 18:07:55 2021 max relations containing the same ideal: 183
  75. Wed Jan 13 18:08:42 2021 removing 6151329 relations and 4151329 ideals in 2000000 cliques
  76. Wed Jan 13 18:08:44 2021 commencing in-memory singleton removal
  77. Wed Jan 13 18:08:52 2021 begin with 121227199 relations and 94599232 unique ideals
  78. Wed Jan 13 18:09:48 2021 reduce to 121007497 relations and 90225058 ideals in 6 passes
  79. Wed Jan 13 18:09:48 2021 max relations containing the same ideal: 178
  80. Wed Jan 13 18:10:32 2021 removing 5999154 relations and 3999154 ideals in 2000000 cliques
  81. Wed Jan 13 18:10:35 2021 commencing in-memory singleton removal
  82. Wed Jan 13 18:10:42 2021 begin with 115008343 relations and 90225058 unique ideals
  83. Wed Jan 13 18:11:35 2021 reduce to 114795698 relations and 86010057 ideals in 6 passes
  84. Wed Jan 13 18:11:35 2021 max relations containing the same ideal: 176
  85. Wed Jan 13 18:12:17 2021 removing 5890700 relations and 3890700 ideals in 2000000 cliques
  86. Wed Jan 13 18:12:19 2021 commencing in-memory singleton removal
  87. Wed Jan 13 18:12:27 2021 begin with 108904998 relations and 86010057 unique ideals
  88. Wed Jan 13 18:13:16 2021 reduce to 108694948 relations and 81906003 ideals in 6 passes
  89. Wed Jan 13 18:13:16 2021 max relations containing the same ideal: 165
  90. Wed Jan 13 18:13:57 2021 removing 5804516 relations and 3804516 ideals in 2000000 cliques
  91. Wed Jan 13 18:13:59 2021 commencing in-memory singleton removal
  92. Wed Jan 13 18:14:06 2021 begin with 102890432 relations and 81906003 unique ideals
  93. Wed Jan 13 18:14:53 2021 reduce to 102681674 relations and 77889167 ideals in 6 passes
  94. Wed Jan 13 18:14:53 2021 max relations containing the same ideal: 158
  95. Wed Jan 13 18:15:31 2021 removing 5738769 relations and 3738769 ideals in 2000000 cliques
  96. Wed Jan 13 18:15:33 2021 commencing in-memory singleton removal
  97. Wed Jan 13 18:15:40 2021 begin with 96942905 relations and 77889167 unique ideals
  98. Wed Jan 13 18:16:24 2021 reduce to 96729553 relations and 73933277 ideals in 6 passes
  99. Wed Jan 13 18:16:24 2021 max relations containing the same ideal: 154
  100. Wed Jan 13 18:16:59 2021 removing 5686087 relations and 3686087 ideals in 2000000 cliques
  101. Wed Jan 13 18:17:02 2021 commencing in-memory singleton removal
  102. Wed Jan 13 18:17:08 2021 begin with 91043466 relations and 73933277 unique ideals
  103. Wed Jan 13 18:17:48 2021 reduce to 90826133 relations and 70025824 ideals in 6 passes
  104. Wed Jan 13 18:17:48 2021 max relations containing the same ideal: 149
  105. Wed Jan 13 18:18:22 2021 removing 5647067 relations and 3647067 ideals in 2000000 cliques
  106. Wed Jan 13 18:18:24 2021 commencing in-memory singleton removal
  107. Wed Jan 13 18:18:30 2021 begin with 85179066 relations and 70025824 unique ideals
  108. Wed Jan 13 18:19:08 2021 reduce to 84954634 relations and 66149937 ideals in 6 passes
  109. Wed Jan 13 18:19:08 2021 max relations containing the same ideal: 141
  110. Wed Jan 13 18:19:40 2021 removing 5618815 relations and 3618815 ideals in 2000000 cliques
  111. Wed Jan 13 18:19:42 2021 commencing in-memory singleton removal
  112. Wed Jan 13 18:19:47 2021 begin with 79335819 relations and 66149937 unique ideals
  113. Wed Jan 13 18:20:22 2021 reduce to 79102163 relations and 62292451 ideals in 6 passes
  114. Wed Jan 13 18:20:22 2021 max relations containing the same ideal: 135
  115. Wed Jan 13 18:20:51 2021 removing 5599673 relations and 3599673 ideals in 2000000 cliques
  116. Wed Jan 13 18:20:53 2021 commencing in-memory singleton removal
  117. Wed Jan 13 18:20:58 2021 begin with 73502490 relations and 62292451 unique ideals
  118. Wed Jan 13 18:21:30 2021 reduce to 73257647 relations and 58442447 ideals in 6 passes
  119. Wed Jan 13 18:21:30 2021 max relations containing the same ideal: 128
  120. Wed Jan 13 18:21:58 2021 removing 5590117 relations and 3590117 ideals in 2000000 cliques
  121. Wed Jan 13 18:22:00 2021 commencing in-memory singleton removal
  122. Wed Jan 13 18:22:04 2021 begin with 67667530 relations and 58442447 unique ideals
  123. Wed Jan 13 18:22:34 2021 reduce to 67407406 relations and 54586066 ideals in 6 passes
  124. Wed Jan 13 18:22:34 2021 max relations containing the same ideal: 119
  125. Wed Jan 13 18:22:59 2021 removing 5588224 relations and 3588224 ideals in 2000000 cliques
  126. Wed Jan 13 18:23:01 2021 commencing in-memory singleton removal
  127. Wed Jan 13 18:23:04 2021 begin with 61819182 relations and 54586066 unique ideals
  128. Wed Jan 13 18:23:31 2021 reduce to 61540170 relations and 50711630 ideals in 6 passes
  129. Wed Jan 13 18:23:31 2021 max relations containing the same ideal: 113
  130. Wed Jan 13 18:23:55 2021 removing 5591942 relations and 3591942 ideals in 2000000 cliques
  131. Wed Jan 13 18:23:57 2021 commencing in-memory singleton removal
  132. Wed Jan 13 18:24:00 2021 begin with 55948228 relations and 50711630 unique ideals
  133. Wed Jan 13 18:24:24 2021 reduce to 55645186 relations and 46808328 ideals in 6 passes
  134. Wed Jan 13 18:24:24 2021 max relations containing the same ideal: 104
  135. Wed Jan 13 18:24:45 2021 removing 5607895 relations and 3607895 ideals in 2000000 cliques
  136. Wed Jan 13 18:24:46 2021 commencing in-memory singleton removal
  137. Wed Jan 13 18:24:49 2021 begin with 50037291 relations and 46808328 unique ideals
  138. Wed Jan 13 18:25:11 2021 reduce to 49701163 relations and 42854122 ideals in 6 passes
  139. Wed Jan 13 18:25:11 2021 max relations containing the same ideal: 99
  140. Wed Jan 13 18:25:30 2021 removing 5629525 relations and 3629525 ideals in 2000000 cliques
  141. Wed Jan 13 18:25:32 2021 commencing in-memory singleton removal
  142. Wed Jan 13 18:25:34 2021 begin with 44071638 relations and 42854122 unique ideals
  143. Wed Jan 13 18:25:56 2021 reduce to 43692515 relations and 38832761 ideals in 7 passes
  144. Wed Jan 13 18:25:56 2021 max relations containing the same ideal: 95
  145. Wed Jan 13 18:26:12 2021 removing 5669268 relations and 3669268 ideals in 2000000 cliques
  146. Wed Jan 13 18:26:14 2021 commencing in-memory singleton removal
  147. Wed Jan 13 18:26:16 2021 begin with 38023247 relations and 38832761 unique ideals
  148. Wed Jan 13 18:26:32 2021 reduce to 37575613 relations and 34699132 ideals in 6 passes
  149. Wed Jan 13 18:26:32 2021 max relations containing the same ideal: 82
  150. Wed Jan 13 18:26:46 2021 removing 5431527 relations and 3554820 ideals in 1876707 cliques
  151. Wed Jan 13 18:26:47 2021 commencing in-memory singleton removal
  152. Wed Jan 13 18:26:49 2021 begin with 32144086 relations and 34699132 unique ideals
  153. Wed Jan 13 18:27:06 2021 reduce to 31633080 relations and 30611714 ideals in 8 passes
  154. Wed Jan 13 18:27:06 2021 max relations containing the same ideal: 76
  155. Wed Jan 13 18:27:18 2021 removing 126046 relations and 104454 ideals in 21592 cliques
  156. Wed Jan 13 18:27:19 2021 commencing in-memory singleton removal
  157. Wed Jan 13 18:27:21 2021 begin with 31507034 relations and 30611714 unique ideals
  158. Wed Jan 13 18:27:32 2021 reduce to 31506622 relations and 30506848 ideals in 5 passes
  159. Wed Jan 13 18:27:32 2021 max relations containing the same ideal: 76
  160. Wed Jan 13 18:27:36 2021 relations with 0 large ideals: 65995
  161. Wed Jan 13 18:27:36 2021 relations with 1 large ideals: 14249
  162. Wed Jan 13 18:27:36 2021 relations with 2 large ideals: 166910
  163. Wed Jan 13 18:27:36 2021 relations with 3 large ideals: 1017781
  164. Wed Jan 13 18:27:36 2021 relations with 4 large ideals: 3361878
  165. Wed Jan 13 18:27:36 2021 relations with 5 large ideals: 6605445
  166. Wed Jan 13 18:27:36 2021 relations with 6 large ideals: 8157695
  167. Wed Jan 13 18:27:36 2021 relations with 7+ large ideals: 12116669
  168. Wed Jan 13 18:27:36 2021 commencing 2-way merge
  169. Wed Jan 13 18:27:53 2021 reduce to 21754245 relation sets and 20754471 unique ideals
  170. Wed Jan 13 18:27:53 2021 commencing full merge
  171. Wed Jan 13 18:43:16 2021 memory use: 966.1 MB
  172. Wed Jan 13 18:43:17 2021 found 90501 cycles, need 4770074
  173. Wed Jan 13 18:43:17 2021 too few cycles, matrix probably cannot build
  174. Wed Jan 13 19:46:23 2021
  175. Wed Jan 13 19:46:23 2021
  176. Wed Jan 13 19:46:23 2021 Msieve v. 1.53 (SVN 988M)
  177. Wed Jan 13 19:46:23 2021 random seeds: 9573ab24 faf0534b
  178. Wed Jan 13 19:46:23 2021 factoring 29507897874110759521263650433606784693827870645040089161969292500671437638707529880158618979512210937115033683068276846916921446485873805876308557217627328142442620177576076502447533897086195364131197915721659983555183 (218 digits)
  179. Wed Jan 13 19:46:23 2021 searching for 15-digit factors
  180. Wed Jan 13 19:46:24 2021 commencing number field sieve (218-digit input)
  181. Wed Jan 13 19:46:24 2021 R0: 4336808689942017736029811203479766845703125
  182. Wed Jan 13 19:46:24 2021 R1: -2305843009213693952
  183. Wed Jan 13 19:46:24 2021 A0: 1
  184. Wed Jan 13 19:46:24 2021 A1: -1
  185. Wed Jan 13 19:46:24 2021 A2: 1
  186. Wed Jan 13 19:46:24 2021 A3: -1
  187. Wed Jan 13 19:46:24 2021 A4: 1
  188. Wed Jan 13 19:46:24 2021 A5: -1
  189. Wed Jan 13 19:46:24 2021 A6: 1
  190. Wed Jan 13 19:46:24 2021 skew 1.00, size 1.279e-12, alpha 2.428, combined = 1.390e-13 rroots = 0
  191. Wed Jan 13 19:46:24 2021
  192. Wed Jan 13 19:46:24 2021 commencing relation filtering
  193. Wed Jan 13 19:46:24 2021 setting target matrix density to 130.0
  194. Wed Jan 13 19:46:24 2021 estimated available RAM is 32768.0 MB
  195. Wed Jan 13 19:46:24 2021 commencing duplicate removal, pass 1
  196. Wed Jan 13 19:49:57 2021 error -15 reading relation 35171406
  197. Wed Jan 13 19:59:30 2021 error -1 reading relation 129352545
  198. Wed Jan 13 19:59:31 2021 error -15 reading relation 129500846
  199. Wed Jan 13 20:05:08 2021 error -11 reading relation 184502093
  200. Wed Jan 13 20:05:08 2021 error -11 reading relation 184502094
  201. Wed Jan 13 20:07:30 2021 error -15 reading relation 207724685
  202. Wed Jan 13 20:08:44 2021 skipped 527 relations with b > 2^32
  203. Wed Jan 13 20:08:44 2021 skipped 2 relations with composite factors
  204. Wed Jan 13 20:08:44 2021 found 10315595 hash collisions in 217572582 relations
  205. Wed Jan 13 20:08:44 2021 commencing duplicate removal, pass 2
  206. Wed Jan 13 20:17:49 2021 found 0 duplicates and 217572582 unique relations
  207. Wed Jan 13 20:17:49 2021 memory use: 756.8 MB
  208. Wed Jan 13 20:17:49 2021 reading ideals above 159842304
  209. Wed Jan 13 20:17:49 2021 commencing singleton removal, initial pass
  210. Wed Jan 13 20:34:09 2021 memory use: 5512.0 MB
  211. Wed Jan 13 20:34:09 2021 reading all ideals from disk
  212. Wed Jan 13 20:35:36 2021 memory use: 3687.6 MB
  213. Wed Jan 13 20:35:44 2021 commencing in-memory singleton removal
  214. Wed Jan 13 20:35:51 2021 begin with 217572582 relations and 164549788 unique ideals
  215. Wed Jan 13 20:37:23 2021 reduce to 158572224 relations and 100740971 ideals in 13 passes
  216. Wed Jan 13 20:37:23 2021 max relations containing the same ideal: 44
  217. Wed Jan 13 20:37:42 2021 reading ideals above 720000
  218. Wed Jan 13 20:37:43 2021 commencing singleton removal, initial pass
  219. Wed Jan 13 20:54:11 2021 memory use: 3012.0 MB
  220. Wed Jan 13 20:54:12 2021 reading all ideals from disk
  221. Wed Jan 13 20:56:44 2021 memory use: 6444.9 MB
  222. Wed Jan 13 20:56:58 2021 keeping 117810681 ideals with weight <= 200, target excess is 861874
  223. Wed Jan 13 20:57:13 2021 commencing in-memory singleton removal
  224. Wed Jan 13 20:57:24 2021 begin with 158572224 relations and 117810681 unique ideals
  225. Wed Jan 13 20:58:14 2021 reduce to 158571915 relations and 117810372 ideals in 4 passes
  226. Wed Jan 13 20:58:14 2021 max relations containing the same ideal: 200
  227. Wed Jan 13 20:59:11 2021 removing 9576020 relations and 7576020 ideals in 2000000 cliques
  228. Wed Jan 13 20:59:14 2021 commencing in-memory singleton removal
  229. Wed Jan 13 20:59:24 2021 begin with 148995895 relations and 117810372 unique ideals
  230. Wed Jan 13 21:00:58 2021 reduce to 148564747 relations and 109796374 ideals in 8 passes
  231. Wed Jan 13 21:00:58 2021 max relations containing the same ideal: 199
  232. Wed Jan 13 21:01:51 2021 removing 7344648 relations and 5344648 ideals in 2000000 cliques
  233. Wed Jan 13 21:01:54 2021 commencing in-memory singleton removal
  234. Wed Jan 13 21:02:04 2021 begin with 141220099 relations and 109796374 unique ideals
  235. Wed Jan 13 21:03:32 2021 reduce to 140928220 relations and 104155865 ideals in 8 passes
  236. Wed Jan 13 21:03:32 2021 max relations containing the same ideal: 197
  237. Wed Jan 13 21:04:23 2021 removing 6700733 relations and 4700733 ideals in 2000000 cliques
  238. Wed Jan 13 21:04:26 2021 commencing in-memory singleton removal
  239. Wed Jan 13 21:04:35 2021 begin with 134227487 relations and 104155865 unique ideals
  240. Wed Jan 13 21:05:48 2021 reduce to 133975485 relations and 99199499 ideals in 7 passes
  241. Wed Jan 13 21:05:48 2021 max relations containing the same ideal: 191
  242. Wed Jan 13 21:06:37 2021 removing 6364492 relations and 4364492 ideals in 2000000 cliques
  243. Wed Jan 13 21:06:39 2021 commencing in-memory singleton removal
  244. Wed Jan 13 21:06:48 2021 begin with 127610993 relations and 99199499 unique ideals
  245. Wed Jan 13 21:07:47 2021 reduce to 127378528 relations and 94599232 ideals in 6 passes
  246. Wed Jan 13 21:07:47 2021 max relations containing the same ideal: 183
  247. Wed Jan 13 21:08:34 2021 removing 6151329 relations and 4151329 ideals in 2000000 cliques
  248. Wed Jan 13 21:08:37 2021 commencing in-memory singleton removal
  249. Wed Jan 13 21:08:45 2021 begin with 121227199 relations and 94599232 unique ideals
  250. Wed Jan 13 21:09:40 2021 reduce to 121007497 relations and 90225058 ideals in 6 passes
  251. Wed Jan 13 21:09:40 2021 max relations containing the same ideal: 178
  252. Wed Jan 13 21:10:24 2021 removing 5999154 relations and 3999154 ideals in 2000000 cliques
  253. Wed Jan 13 21:10:27 2021 commencing in-memory singleton removal
  254. Wed Jan 13 21:10:35 2021 begin with 115008343 relations and 90225058 unique ideals
  255. Wed Jan 13 21:11:27 2021 reduce to 114795698 relations and 86010057 ideals in 6 passes
  256. Wed Jan 13 21:11:27 2021 max relations containing the same ideal: 176
  257. Wed Jan 13 21:12:10 2021 removing 5890700 relations and 3890700 ideals in 2000000 cliques
  258. Wed Jan 13 21:12:12 2021 commencing in-memory singleton removal
  259. Wed Jan 13 21:12:19 2021 begin with 108904998 relations and 86010057 unique ideals
  260. Wed Jan 13 21:13:09 2021 reduce to 108694948 relations and 81906003 ideals in 6 passes
  261. Wed Jan 13 21:13:09 2021 max relations containing the same ideal: 165
  262. Wed Jan 13 21:13:49 2021 removing 5804516 relations and 3804516 ideals in 2000000 cliques
  263. Wed Jan 13 21:13:51 2021 commencing in-memory singleton removal
  264. Wed Jan 13 21:13:58 2021 begin with 102890432 relations and 81906003 unique ideals
  265. Wed Jan 13 21:14:45 2021 reduce to 102681674 relations and 77889167 ideals in 6 passes
  266. Wed Jan 13 21:14:45 2021 max relations containing the same ideal: 158
  267. Wed Jan 13 21:15:22 2021 removing 5738769 relations and 3738769 ideals in 2000000 cliques
  268. Wed Jan 13 21:15:25 2021 commencing in-memory singleton removal
  269. Wed Jan 13 21:15:31 2021 begin with 96942905 relations and 77889167 unique ideals
  270. Wed Jan 13 21:16:15 2021 reduce to 96729553 relations and 73933277 ideals in 6 passes
  271. Wed Jan 13 21:16:15 2021 max relations containing the same ideal: 154
  272. Wed Jan 13 21:16:50 2021 removing 5686087 relations and 3686087 ideals in 2000000 cliques
  273. Wed Jan 13 21:16:52 2021 commencing in-memory singleton removal
  274. Wed Jan 13 21:16:58 2021 begin with 91043466 relations and 73933277 unique ideals
  275. Wed Jan 13 21:17:39 2021 reduce to 90826133 relations and 70025824 ideals in 6 passes
  276. Wed Jan 13 21:17:39 2021 max relations containing the same ideal: 149
  277. Wed Jan 13 21:18:13 2021 removing 5647067 relations and 3647067 ideals in 2000000 cliques
  278. Wed Jan 13 21:18:15 2021 commencing in-memory singleton removal
  279. Wed Jan 13 21:18:21 2021 begin with 85179066 relations and 70025824 unique ideals
  280. Wed Jan 13 21:18:58 2021 reduce to 84954634 relations and 66149937 ideals in 6 passes
  281. Wed Jan 13 21:18:58 2021 max relations containing the same ideal: 141
  282. Wed Jan 13 21:19:30 2021 removing 5618815 relations and 3618815 ideals in 2000000 cliques
  283. Wed Jan 13 21:19:32 2021 commencing in-memory singleton removal
  284. Wed Jan 13 21:19:37 2021 begin with 79335819 relations and 66149937 unique ideals
  285. Wed Jan 13 21:20:13 2021 reduce to 79102163 relations and 62292451 ideals in 6 passes
  286. Wed Jan 13 21:20:13 2021 max relations containing the same ideal: 135
  287. Wed Jan 13 21:20:42 2021 removing 5599673 relations and 3599673 ideals in 2000000 cliques
  288. Wed Jan 13 21:20:44 2021 commencing in-memory singleton removal
  289. Wed Jan 13 21:20:49 2021 begin with 73502490 relations and 62292451 unique ideals
  290. Wed Jan 13 21:21:21 2021 reduce to 73257647 relations and 58442447 ideals in 6 passes
  291. Wed Jan 13 21:21:21 2021 max relations containing the same ideal: 128
  292. Wed Jan 13 21:21:48 2021 removing 5590117 relations and 3590117 ideals in 2000000 cliques
  293. Wed Jan 13 21:21:50 2021 commencing in-memory singleton removal
  294. Wed Jan 13 21:21:54 2021 begin with 67667530 relations and 58442447 unique ideals
  295. Wed Jan 13 21:22:24 2021 reduce to 67407406 relations and 54586066 ideals in 6 passes
  296. Wed Jan 13 21:22:24 2021 max relations containing the same ideal: 119
  297. Wed Jan 13 21:22:49 2021 removing 5588224 relations and 3588224 ideals in 2000000 cliques
  298. Wed Jan 13 21:22:51 2021 commencing in-memory singleton removal
  299. Wed Jan 13 21:22:55 2021 begin with 61819182 relations and 54586066 unique ideals
  300. Wed Jan 13 21:23:22 2021 reduce to 61540170 relations and 50711630 ideals in 6 passes
  301. Wed Jan 13 21:23:22 2021 max relations containing the same ideal: 113
  302. Wed Jan 13 21:23:45 2021 removing 5591942 relations and 3591942 ideals in 2000000 cliques
  303. Wed Jan 13 21:23:47 2021 commencing in-memory singleton removal
  304. Wed Jan 13 21:23:51 2021 begin with 55948228 relations and 50711630 unique ideals
  305. Wed Jan 13 21:24:14 2021 reduce to 55645186 relations and 46808328 ideals in 6 passes
  306. Wed Jan 13 21:24:14 2021 max relations containing the same ideal: 104
  307. Wed Jan 13 21:24:35 2021 removing 5607895 relations and 3607895 ideals in 2000000 cliques
  308. Wed Jan 13 21:24:37 2021 commencing in-memory singleton removal
  309. Wed Jan 13 21:24:40 2021 begin with 50037291 relations and 46808328 unique ideals
  310. Wed Jan 13 21:25:02 2021 reduce to 49701163 relations and 42854122 ideals in 6 passes
  311. Wed Jan 13 21:25:02 2021 max relations containing the same ideal: 99
  312. Wed Jan 13 21:25:21 2021 removing 5629525 relations and 3629525 ideals in 2000000 cliques
  313. Wed Jan 13 21:25:22 2021 commencing in-memory singleton removal
  314. Wed Jan 13 21:25:25 2021 begin with 44071638 relations and 42854122 unique ideals
  315. Wed Jan 13 21:25:47 2021 reduce to 43692515 relations and 38832761 ideals in 7 passes
  316. Wed Jan 13 21:25:47 2021 max relations containing the same ideal: 95
  317. Wed Jan 13 21:26:03 2021 removing 5669268 relations and 3669268 ideals in 2000000 cliques
  318. Wed Jan 13 21:26:05 2021 commencing in-memory singleton removal
  319. Wed Jan 13 21:26:07 2021 begin with 38023247 relations and 38832761 unique ideals
  320. Wed Jan 13 21:26:22 2021 reduce to 37575613 relations and 34699132 ideals in 6 passes
  321. Wed Jan 13 21:26:22 2021 max relations containing the same ideal: 82
  322. Wed Jan 13 21:26:37 2021 removing 5431527 relations and 3554820 ideals in 1876707 cliques
  323. Wed Jan 13 21:26:38 2021 commencing in-memory singleton removal
  324. Wed Jan 13 21:26:40 2021 begin with 32144086 relations and 34699132 unique ideals
  325. Wed Jan 13 21:26:58 2021 reduce to 31633080 relations and 30611714 ideals in 8 passes
  326. Wed Jan 13 21:26:58 2021 max relations containing the same ideal: 76
  327. Wed Jan 13 21:27:10 2021 removing 126046 relations and 104454 ideals in 21592 cliques
  328. Wed Jan 13 21:27:10 2021 commencing in-memory singleton removal
  329. Wed Jan 13 21:27:12 2021 begin with 31507034 relations and 30611714 unique ideals
  330. Wed Jan 13 21:27:23 2021 reduce to 31506622 relations and 30506848 ideals in 5 passes
  331. Wed Jan 13 21:27:23 2021 max relations containing the same ideal: 76
  332. Wed Jan 13 21:27:27 2021 relations with 0 large ideals: 65995
  333. Wed Jan 13 21:27:27 2021 relations with 1 large ideals: 14249
  334. Wed Jan 13 21:27:27 2021 relations with 2 large ideals: 166910
  335. Wed Jan 13 21:27:27 2021 relations with 3 large ideals: 1017781
  336. Wed Jan 13 21:27:27 2021 relations with 4 large ideals: 3361878
  337. Wed Jan 13 21:27:27 2021 relations with 5 large ideals: 6605445
  338. Wed Jan 13 21:27:27 2021 relations with 6 large ideals: 8157695
  339. Wed Jan 13 21:27:27 2021 relations with 7+ large ideals: 12116669
  340. Wed Jan 13 21:27:27 2021 commencing 2-way merge
  341. Wed Jan 13 21:27:44 2021 reduce to 21754245 relation sets and 20754471 unique ideals
  342. Wed Jan 13 21:27:44 2021 commencing full merge
  343. Wed Jan 13 21:36:21 2021 memory use: 2896.6 MB
  344. Wed Jan 13 21:36:26 2021 found 9629002 cycles, need 9628671
  345. Wed Jan 13 21:36:26 2021 weight of 9628671 cycles is about 1251998177 (130.03/cycle)
  346. Wed Jan 13 21:36:26 2021 distribution of cycle lengths:
  347. Wed Jan 13 21:36:26 2021 1 relations: 328518
  348. Wed Jan 13 21:36:26 2021 2 relations: 449302
  349. Wed Jan 13 21:36:26 2021 3 relations: 566376
  350. Wed Jan 13 21:36:26 2021 4 relations: 622885
  351. Wed Jan 13 21:36:26 2021 5 relations: 672439
  352. Wed Jan 13 21:36:26 2021 6 relations: 688717
  353. Wed Jan 13 21:36:26 2021 7 relations: 690158
  354. Wed Jan 13 21:36:26 2021 8 relations: 676250
  355. Wed Jan 13 21:36:26 2021 9 relations: 642601
  356. Wed Jan 13 21:36:26 2021 10+ relations: 4291425
  357. Wed Jan 13 21:36:26 2021 heaviest cycle: 28 relations
  358. Wed Jan 13 21:36:31 2021 commencing cycle optimization
  359. Wed Jan 13 21:36:55 2021 start with 92598380 relations
  360. Wed Jan 13 21:41:11 2021 pruned 5275966 relations
  361. Wed Jan 13 21:41:11 2021 memory use: 2260.4 MB
  362. Wed Jan 13 21:41:11 2021 distribution of cycle lengths:
  363. Wed Jan 13 21:41:11 2021 1 relations: 328518
  364. Wed Jan 13 21:41:11 2021 2 relations: 460244
  365. Wed Jan 13 21:41:11 2021 3 relations: 590891
  366. Wed Jan 13 21:41:11 2021 4 relations: 652691
  367. Wed Jan 13 21:41:11 2021 5 relations: 712935
  368. Wed Jan 13 21:41:11 2021 6 relations: 732631
  369. Wed Jan 13 21:41:11 2021 7 relations: 738609
  370. Wed Jan 13 21:41:11 2021 8 relations: 722788
  371. Wed Jan 13 21:41:11 2021 9 relations: 685747
  372. Wed Jan 13 21:41:11 2021 10+ relations: 4003617
  373. Wed Jan 13 21:41:11 2021 heaviest cycle: 28 relations
  374. Wed Jan 13 21:41:41 2021 RelProcTime: 6917
  375. Wed Jan 13 21:41:41 2021
  376. Wed Jan 13 21:41:41 2021 commencing linear algebra
  377. Wed Jan 13 21:41:43 2021 read 9628671 cycles
  378. Wed Jan 13 21:42:06 2021 cycles contain 31057155 unique relations
  379. Wed Jan 13 21:51:27 2021 read 31057155 relations
  380. Wed Jan 13 21:52:33 2021 using 20 quadratic characters above 4294917295
  381. Wed Jan 13 21:54:17 2021 building initial matrix
  382. Wed Jan 13 22:00:03 2021 memory use: 3921.7 MB
  383. Wed Jan 13 22:02:03 2021 read 9628671 cycles
  384. Wed Jan 13 22:02:05 2021 matrix is 9628494 x 9628671 (4805.5 MB) with weight 1361138982 (141.36/col)
  385. Wed Jan 13 22:02:05 2021 sparse part has weight 1153817380 (119.83/col)
  386. Wed Jan 13 22:03:46 2021 filtering completed in 2 passes
  387. Wed Jan 13 22:03:48 2021 matrix is 9628454 x 9628631 (4805.5 MB) with weight 1361137630 (141.36/col)
  388. Wed Jan 13 22:03:48 2021 sparse part has weight 1153816938 (119.83/col)
  389. Wed Jan 13 22:06:06 2021 matrix starts at (0, 0)
  390. Wed Jan 13 22:06:07 2021 matrix is 9628454 x 9628631 (4805.5 MB) with weight 1361137630 (141.36/col)
  391. Wed Jan 13 22:06:07 2021 sparse part has weight 1153816938 (119.83/col)
  392. Wed Jan 13 22:06:07 2021 saving the first 48 matrix rows for later
  393. Wed Jan 13 22:06:08 2021 matrix includes 64 packed rows
  394. Wed Jan 13 22:06:09 2021 matrix is 9628406 x 9628631 (4608.3 MB) with weight 1185492622 (123.12/col)
  395. Wed Jan 13 22:06:09 2021 sparse part has weight 1111757996 (115.46/col)
  396. Wed Jan 13 22:06:09 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  397. Wed Jan 13 22:07:02 2021 commencing Lanczos iteration (16 threads)
  398. Wed Jan 13 22:07:02 2021 memory use: 3950.1 MB
  399. Wed Jan 13 22:07:14 2021 linear algebra at 0.0%, ETA 19h23m
  400. Wed Jan 13 22:07:17 2021 checkpointing every 520000 dimensions
  401. Thu Jan 14 17:55:14 2021 lanczos halted after 152260 iterations (dim = 9628404)
  402. Thu Jan 14 17:55:21 2021 recovered 39 nontrivial dependencies
  403. Thu Jan 14 17:55:25 2021 BLanczosTime: 72824
  404. Thu Jan 14 17:55:25 2021
  405. Thu Jan 14 17:55:25 2021 commencing square root phase
  406. Thu Jan 14 17:55:25 2021 handling dependencies 1 to 64
  407. Thu Jan 14 17:55:25 2021 reading relations for dependency 1
  408. Thu Jan 14 17:55:34 2021 read 4816985 cycles
  409. Thu Jan 14 17:55:44 2021 cycles contain 15529228 unique relations
  410. Thu Jan 14 18:05:00 2021 read 15529228 relations
  411. Thu Jan 14 18:06:05 2021 multiplying 15529228 relations
  412. Thu Jan 14 18:14:20 2021 multiply complete, coefficients have about 401.51 million bits
  413. Thu Jan 14 18:14:22 2021 initial square root is modulo 16007983
  414. Thu Jan 14 18:23:01 2021 GCD is N, no factor found
  415. Thu Jan 14 18:23:01 2021 reading relations for dependency 2
  416. Thu Jan 14 18:23:12 2021 read 4815245 cycles
  417. Thu Jan 14 18:23:22 2021 cycles contain 15525952 unique relations
  418. Thu Jan 14 18:32:38 2021 read 15525952 relations
  419. Thu Jan 14 18:33:43 2021 multiplying 15525952 relations
  420. Thu Jan 14 18:42:08 2021 multiply complete, coefficients have about 401.42 million bits
  421. Thu Jan 14 18:42:10 2021 initial square root is modulo 15953033
  422. Thu Jan 14 18:51:01 2021 sqrtTime: 3336
  423. Thu Jan 14 18:51:01 2021 p75 factor: 100680094404947719634117385125033732408343221066182601426750212111947841649
  424. Thu Jan 14 18:51:01 2021 p144 factor: 293085719163376683862938428644646949306733275973878173897289353659250406305179995237376687648152654718835567546884064135808772348585626893830367
  425. Thu Jan 14 18:51:01 2021 elapsed time 23:04:38
  426.  
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