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Msieve log of 792__871_11m1

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Feb 17th, 2021
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  1. Tue Feb 16 10:52:30 2021
  2. Tue Feb 16 10:52:30 2021
  3. Tue Feb 16 10:52:30 2021 Msieve v. 1.53 (SVN 988)
  4. Tue Feb 16 10:52:30 2021 random seeds: 8be08cd0 84ba7810
  5. Tue Feb 16 10:52:30 2021 factoring 421477027953717787867501571560144578615727973353289901595706862920314111718471119303264206885320685983023747556097769327697950055978127946590050073064096960200618767077894521137768227666723745120546611518909472454917 (216 digits)
  6. Tue Feb 16 10:52:31 2021 searching for 15-digit factors
  7. Tue Feb 16 10:52:31 2021 commencing number field sieve (216-digit input)
  8. Tue Feb 16 10:52:31 2021 R0: 62883648222995549810542382778658546965428642
  9. Tue Feb 16 10:52:31 2021 R1: -7929921072936069885871
  10. Tue Feb 16 10:52:31 2021 A0: 1
  11. Tue Feb 16 10:52:31 2021 A1: 3
  12. Tue Feb 16 10:52:31 2021 A2: -3
  13. Tue Feb 16 10:52:31 2021 A3: -4
  14. Tue Feb 16 10:52:31 2021 A4: 1
  15. Tue Feb 16 10:52:31 2021 A5: 1
  16. Tue Feb 16 10:52:31 2021 skew 1.00, size 6.397e-015, alpha 2.379, combined = 3.162e-012 rroots = 5
  17. Tue Feb 16 10:52:31 2021
  18. Tue Feb 16 10:52:31 2021 commencing relation filtering
  19. Tue Feb 16 10:52:31 2021 setting target matrix density to 120.0
  20. Tue Feb 16 10:52:31 2021 estimated available RAM is 16151.1 MB
  21. Tue Feb 16 10:52:31 2021 commencing duplicate removal, pass 1
  22. Tue Feb 16 10:53:08 2021 error -15 reading relation 4919858
  23. Tue Feb 16 10:53:08 2021 error -9 reading relation 4952258
  24. Tue Feb 16 10:53:08 2021 error -9 reading relation 4983831
  25. Tue Feb 16 10:53:21 2021 error -9 reading relation 6613941
  26. Tue Feb 16 10:53:21 2021 error -1 reading relation 6646805
  27. Tue Feb 16 10:53:24 2021 error -15 reading relation 7075314
  28. Tue Feb 16 10:54:04 2021 error -15 reading relation 12217717
  29. Tue Feb 16 10:54:12 2021 error -5 reading relation 13332959
  30. Tue Feb 16 10:54:14 2021 error -5 reading relation 13625078
  31. Tue Feb 16 10:54:15 2021 error -9 reading relation 13708401
  32. Tue Feb 16 10:54:17 2021 error -9 reading relation 14002415
  33. Tue Feb 16 10:54:18 2021 error -1 reading relation 14097313
  34. Tue Feb 16 10:54:20 2021 error -15 reading relation 14449331
  35. Tue Feb 16 10:54:20 2021 error -1 reading relation 14449615
  36. Tue Feb 16 10:54:21 2021 error -5 reading relation 14504635
  37. Tue Feb 16 10:54:21 2021 error -5 reading relation 14505411
  38. Tue Feb 16 10:54:21 2021 error -1 reading relation 14575278
  39. Tue Feb 16 10:54:23 2021 error -5 reading relation 14769467
  40. Tue Feb 16 10:54:24 2021 error -15 reading relation 14866525
  41. Tue Feb 16 10:54:26 2021 error -1 reading relation 15140214
  42. Tue Feb 16 10:54:27 2021 error -1 reading relation 15367479
  43. Tue Feb 16 10:54:32 2021 error -9 reading relation 15943969
  44. Tue Feb 16 10:54:32 2021 error -9 reading relation 15944863
  45. Tue Feb 16 10:54:32 2021 error -15 reading relation 15984496
  46. Tue Feb 16 10:54:32 2021 error -9 reading relation 15984776
  47. Tue Feb 16 10:54:54 2021 error -9 reading relation 18981741
  48. Tue Feb 16 10:56:00 2021 error -9 reading relation 28357282
  49. Tue Feb 16 10:56:20 2021 error -15 reading relation 31096124
  50. Tue Feb 16 10:56:36 2021 error -9 reading relation 33224414
  51. Tue Feb 16 10:57:27 2021 error -9 reading relation 39977684
  52. Tue Feb 16 10:57:32 2021 error -1 reading relation 40612330
  53. Tue Feb 16 10:57:44 2021 error -9 reading relation 42323151
  54. Tue Feb 16 10:57:50 2021 error -5 reading relation 43109372
  55. Tue Feb 16 10:57:50 2021 error -9 reading relation 43131153
  56. Tue Feb 16 10:57:55 2021 error -1 reading relation 43829056
  57. Tue Feb 16 10:57:56 2021 error -9 reading relation 44049015
  58. Tue Feb 16 10:58:03 2021 error -1 reading relation 44939073
  59. Tue Feb 16 10:58:05 2021 error -9 reading relation 45191312
  60. Tue Feb 16 10:58:05 2021 error -15 reading relation 45200370
  61. Tue Feb 16 10:58:06 2021 error -1 reading relation 45429848
  62. Tue Feb 16 10:58:17 2021 error -15 reading relation 46797209
  63. Tue Feb 16 10:58:41 2021 error -1 reading relation 50168200
  64. Tue Feb 16 10:58:42 2021 error -9 reading relation 50315082
  65. Tue Feb 16 10:59:19 2021 error -15 reading relation 55127663
  66. Tue Feb 16 10:59:30 2021 error -9 reading relation 56570964
  67. Tue Feb 16 10:59:30 2021 error -9 reading relation 56661347
  68. Tue Feb 16 10:59:32 2021 error -9 reading relation 56931000
  69. Tue Feb 16 10:59:46 2021 error -9 reading relation 58714411
  70. Tue Feb 16 11:00:03 2021 error -9 reading relation 61101052
  71. Tue Feb 16 11:00:04 2021 error -9 reading relation 61114596
  72. Tue Feb 16 11:00:09 2021 error -9 reading relation 61950295
  73. Tue Feb 16 11:00:23 2021 skipped 2 relations with b > 2^32
  74. Tue Feb 16 11:00:23 2021 skipped 34 relations with composite factors
  75. Tue Feb 16 11:00:23 2021 found 11498399 hash collisions in 63805751 relations
  76. Tue Feb 16 11:00:30 2021 added 2926292 free relations
  77. Tue Feb 16 11:00:30 2021 commencing duplicate removal, pass 2
  78. Tue Feb 16 11:01:08 2021 found 10629246 duplicates and 56102797 unique relations
  79. Tue Feb 16 11:01:08 2021 memory use: 330.4 MB
  80. Tue Feb 16 11:01:08 2021 reading ideals above 720000
  81. Tue Feb 16 11:01:08 2021 commencing singleton removal, initial pass
  82. Tue Feb 16 11:09:18 2021 memory use: 1378.0 MB
  83. Tue Feb 16 11:09:18 2021 reading all ideals from disk
  84. Tue Feb 16 11:09:21 2021 memory use: 2021.3 MB
  85. Tue Feb 16 11:09:31 2021 keeping 49079881 ideals with weight <= 200, target excess is 286288
  86. Tue Feb 16 11:09:40 2021 commencing in-memory singleton removal
  87. Tue Feb 16 11:09:48 2021 begin with 56102797 relations and 49079881 unique ideals
  88. Tue Feb 16 11:11:03 2021 reduce to 40902328 relations and 32590860 ideals in 12 passes
  89. Tue Feb 16 11:11:03 2021 max relations containing the same ideal: 174
  90. Tue Feb 16 11:11:31 2021 removing 4346968 relations and 3346968 ideals in 1000000 cliques
  91. Tue Feb 16 11:11:33 2021 commencing in-memory singleton removal
  92. Tue Feb 16 11:11:38 2021 begin with 36555360 relations and 32590860 unique ideals
  93. Tue Feb 16 11:12:22 2021 reduce to 36055938 relations and 28728264 ideals in 8 passes
  94. Tue Feb 16 11:12:22 2021 max relations containing the same ideal: 159
  95. Tue Feb 16 11:12:46 2021 removing 3507200 relations and 2507200 ideals in 1000000 cliques
  96. Tue Feb 16 11:12:47 2021 commencing in-memory singleton removal
  97. Tue Feb 16 11:12:52 2021 begin with 32548738 relations and 28728264 unique ideals
  98. Tue Feb 16 11:13:20 2021 reduce to 32231237 relations and 25893922 ideals in 7 passes
  99. Tue Feb 16 11:13:20 2021 max relations containing the same ideal: 149
  100. Tue Feb 16 11:13:41 2021 removing 3248727 relations and 2248727 ideals in 1000000 cliques
  101. Tue Feb 16 11:13:42 2021 commencing in-memory singleton removal
  102. Tue Feb 16 11:13:46 2021 begin with 28982510 relations and 25893922 unique ideals
  103. Tue Feb 16 11:14:13 2021 reduce to 28700444 relations and 23354351 ideals in 7 passes
  104. Tue Feb 16 11:14:13 2021 max relations containing the same ideal: 135
  105. Tue Feb 16 11:14:32 2021 removing 3130240 relations and 2130240 ideals in 1000000 cliques
  106. Tue Feb 16 11:14:34 2021 commencing in-memory singleton removal
  107. Tue Feb 16 11:14:37 2021 begin with 25570204 relations and 23354351 unique ideals
  108. Tue Feb 16 11:15:00 2021 reduce to 25290860 relations and 20935564 ideals in 7 passes
  109. Tue Feb 16 11:15:00 2021 max relations containing the same ideal: 126
  110. Tue Feb 16 11:15:18 2021 removing 3071005 relations and 2071005 ideals in 1000000 cliques
  111. Tue Feb 16 11:15:19 2021 commencing in-memory singleton removal
  112. Tue Feb 16 11:15:22 2021 begin with 22219855 relations and 20935564 unique ideals
  113. Tue Feb 16 11:15:40 2021 reduce to 21926296 relations and 18560032 ideals in 7 passes
  114. Tue Feb 16 11:15:40 2021 max relations containing the same ideal: 114
  115. Tue Feb 16 11:15:54 2021 removing 3052216 relations and 2052216 ideals in 1000000 cliques
  116. Tue Feb 16 11:15:55 2021 commencing in-memory singleton removal
  117. Tue Feb 16 11:15:58 2021 begin with 18874080 relations and 18560032 unique ideals
  118. Tue Feb 16 11:16:12 2021 reduce to 18548403 relations and 16168740 ideals in 7 passes
  119. Tue Feb 16 11:16:12 2021 max relations containing the same ideal: 103
  120. Tue Feb 16 11:16:25 2021 removing 3054324 relations and 2054324 ideals in 1000000 cliques
  121. Tue Feb 16 11:16:26 2021 commencing in-memory singleton removal
  122. Tue Feb 16 11:16:28 2021 begin with 15494079 relations and 16168740 unique ideals
  123. Tue Feb 16 11:16:41 2021 reduce to 15113748 relations and 13715774 ideals in 8 passes
  124. Tue Feb 16 11:16:41 2021 max relations containing the same ideal: 90
  125. Tue Feb 16 11:16:52 2021 removing 3077396 relations and 2077396 ideals in 1000000 cliques
  126. Tue Feb 16 11:16:52 2021 commencing in-memory singleton removal
  127. Tue Feb 16 11:16:54 2021 begin with 12036352 relations and 13715774 unique ideals
  128. Tue Feb 16 11:17:04 2021 reduce to 11565729 relations and 11139318 ideals in 8 passes
  129. Tue Feb 16 11:17:04 2021 max relations containing the same ideal: 75
  130. Tue Feb 16 11:17:13 2021 removing 485229 relations and 390913 ideals in 94316 cliques
  131. Tue Feb 16 11:17:13 2021 commencing in-memory singleton removal
  132. Tue Feb 16 11:17:14 2021 begin with 11080500 relations and 11139318 unique ideals
  133. Tue Feb 16 11:17:23 2021 reduce to 11064027 relations and 10731780 ideals in 6 passes
  134. Tue Feb 16 11:17:23 2021 max relations containing the same ideal: 73
  135. Tue Feb 16 11:17:32 2021 relations with 0 large ideals: 21568
  136. Tue Feb 16 11:17:32 2021 relations with 1 large ideals: 3759
  137. Tue Feb 16 11:17:32 2021 relations with 2 large ideals: 44803
  138. Tue Feb 16 11:17:32 2021 relations with 3 large ideals: 298524
  139. Tue Feb 16 11:17:32 2021 relations with 4 large ideals: 1070793
  140. Tue Feb 16 11:17:32 2021 relations with 5 large ideals: 2267494
  141. Tue Feb 16 11:17:32 2021 relations with 6 large ideals: 3345688
  142. Tue Feb 16 11:17:32 2021 relations with 7+ large ideals: 4011398
  143. Tue Feb 16 11:17:32 2021 commencing 2-way merge
  144. Tue Feb 16 11:17:43 2021 reduce to 7311928 relation sets and 6979681 unique ideals
  145. Tue Feb 16 11:17:43 2021 commencing full merge
  146. Tue Feb 16 11:25:39 2021 memory use: 324.9 MB
  147. Tue Feb 16 11:25:40 2021 found 31281 cycles, need 1608488
  148. Tue Feb 16 11:25:40 2021 too few cycles, matrix probably cannot build
  149. Tue Feb 16 12:00:28 2021
  150. Tue Feb 16 12:00:28 2021
  151. Tue Feb 16 12:00:28 2021 Msieve v. 1.53 (SVN 988)
  152. Tue Feb 16 12:00:28 2021 random seeds: e69ddc60 95834260
  153. Tue Feb 16 12:00:28 2021 factoring 421477027953717787867501571560144578615727973353289901595706862920314111718471119303264206885320685983023747556097769327697950055978127946590050073064096960200618767077894521137768227666723745120546611518909472454917 (216 digits)
  154. Tue Feb 16 12:00:29 2021 searching for 15-digit factors
  155. Tue Feb 16 12:00:29 2021 commencing number field sieve (216-digit input)
  156. Tue Feb 16 12:00:29 2021 R0: 62883648222995549810542382778658546965428642
  157. Tue Feb 16 12:00:29 2021 R1: -7929921072936069885871
  158. Tue Feb 16 12:00:29 2021 A0: 1
  159. Tue Feb 16 12:00:29 2021 A1: 3
  160. Tue Feb 16 12:00:29 2021 A2: -3
  161. Tue Feb 16 12:00:29 2021 A3: -4
  162. Tue Feb 16 12:00:29 2021 A4: 1
  163. Tue Feb 16 12:00:29 2021 A5: 1
  164. Tue Feb 16 12:00:29 2021 skew 1.00, size 6.397e-015, alpha 2.379, combined = 3.162e-012 rroots = 5
  165. Tue Feb 16 12:00:30 2021
  166. Tue Feb 16 12:00:30 2021 commencing relation filtering
  167. Tue Feb 16 12:00:30 2021 setting target matrix density to 100.0
  168. Tue Feb 16 12:00:30 2021 estimated available RAM is 16151.1 MB
  169. Tue Feb 16 12:00:30 2021 commencing duplicate removal, pass 1
  170. Tue Feb 16 12:01:08 2021 error -15 reading relation 4919858
  171. Tue Feb 16 12:01:08 2021 error -9 reading relation 4952258
  172. Tue Feb 16 12:01:09 2021 error -9 reading relation 4983831
  173. Tue Feb 16 12:01:21 2021 error -9 reading relation 6613941
  174. Tue Feb 16 12:01:21 2021 error -1 reading relation 6646805
  175. Tue Feb 16 12:01:25 2021 error -15 reading relation 7075314
  176. Tue Feb 16 12:02:04 2021 error -15 reading relation 12217717
  177. Tue Feb 16 12:02:12 2021 error -5 reading relation 13332959
  178. Tue Feb 16 12:02:14 2021 error -5 reading relation 13625078
  179. Tue Feb 16 12:02:15 2021 error -9 reading relation 13708401
  180. Tue Feb 16 12:02:17 2021 error -9 reading relation 14002415
  181. Tue Feb 16 12:02:17 2021 error -1 reading relation 14097313
  182. Tue Feb 16 12:02:20 2021 error -15 reading relation 14449331
  183. Tue Feb 16 12:02:20 2021 error -1 reading relation 14449615
  184. Tue Feb 16 12:02:20 2021 error -5 reading relation 14504635
  185. Tue Feb 16 12:02:20 2021 error -5 reading relation 14505411
  186. Tue Feb 16 12:02:21 2021 error -1 reading relation 14575278
  187. Tue Feb 16 12:02:22 2021 error -5 reading relation 14769467
  188. Tue Feb 16 12:02:23 2021 error -15 reading relation 14866525
  189. Tue Feb 16 12:02:25 2021 error -1 reading relation 15140214
  190. Tue Feb 16 12:02:27 2021 error -1 reading relation 15367479
  191. Tue Feb 16 12:02:31 2021 error -9 reading relation 15943969
  192. Tue Feb 16 12:02:31 2021 error -9 reading relation 15944863
  193. Tue Feb 16 12:02:31 2021 error -15 reading relation 15984496
  194. Tue Feb 16 12:02:31 2021 error -9 reading relation 15984776
  195. Tue Feb 16 12:02:53 2021 error -9 reading relation 18981741
  196. Tue Feb 16 12:04:02 2021 error -9 reading relation 28357282
  197. Tue Feb 16 12:04:22 2021 error -15 reading relation 31096124
  198. Tue Feb 16 12:04:37 2021 error -9 reading relation 33224414
  199. Tue Feb 16 12:05:25 2021 error -9 reading relation 39977684
  200. Tue Feb 16 12:05:29 2021 error -1 reading relation 40612330
  201. Tue Feb 16 12:05:42 2021 error -9 reading relation 42323151
  202. Tue Feb 16 12:05:47 2021 error -5 reading relation 43109372
  203. Tue Feb 16 12:05:47 2021 error -9 reading relation 43131153
  204. Tue Feb 16 12:05:52 2021 error -1 reading relation 43829056
  205. Tue Feb 16 12:05:54 2021 error -9 reading relation 44049015
  206. Tue Feb 16 12:06:01 2021 error -1 reading relation 44939073
  207. Tue Feb 16 12:06:02 2021 error -9 reading relation 45191312
  208. Tue Feb 16 12:06:02 2021 error -15 reading relation 45200370
  209. Tue Feb 16 12:06:04 2021 error -1 reading relation 45429848
  210. Tue Feb 16 12:06:14 2021 error -15 reading relation 46797209
  211. Tue Feb 16 12:06:39 2021 error -1 reading relation 50168200
  212. Tue Feb 16 12:06:41 2021 error -9 reading relation 50315082
  213. Tue Feb 16 12:07:17 2021 error -15 reading relation 55127663
  214. Tue Feb 16 12:07:28 2021 error -9 reading relation 56570964
  215. Tue Feb 16 12:07:28 2021 error -9 reading relation 56661347
  216. Tue Feb 16 12:07:31 2021 error -9 reading relation 56931000
  217. Tue Feb 16 12:07:43 2021 error -9 reading relation 58714411
  218. Tue Feb 16 12:07:59 2021 error -9 reading relation 61101052
  219. Tue Feb 16 12:08:00 2021 error -9 reading relation 61114596
  220. Tue Feb 16 12:08:06 2021 error -9 reading relation 61950295
  221. Tue Feb 16 12:08:43 2021 skipped 2 relations with b > 2^32
  222. Tue Feb 16 12:08:43 2021 skipped 34 relations with composite factors
  223. Tue Feb 16 12:08:43 2021 found 11720937 hash collisions in 66732043 relations
  224. Tue Feb 16 12:08:43 2021 commencing duplicate removal, pass 2
  225. Tue Feb 16 12:09:20 2021 found 10629246 duplicates and 56102797 unique relations
  226. Tue Feb 16 12:09:20 2021 memory use: 330.4 MB
  227. Tue Feb 16 12:09:20 2021 reading ideals above 720000
  228. Tue Feb 16 12:09:20 2021 commencing singleton removal, initial pass
  229. Tue Feb 16 12:16:51 2021 memory use: 1378.0 MB
  230. Tue Feb 16 12:16:51 2021 reading all ideals from disk
  231. Tue Feb 16 12:16:54 2021 memory use: 2021.3 MB
  232. Tue Feb 16 12:17:02 2021 keeping 49079881 ideals with weight <= 200, target excess is 286288
  233. Tue Feb 16 12:17:12 2021 commencing in-memory singleton removal
  234. Tue Feb 16 12:17:19 2021 begin with 56102797 relations and 49079881 unique ideals
  235. Tue Feb 16 12:18:22 2021 reduce to 40902328 relations and 32590860 ideals in 12 passes
  236. Tue Feb 16 12:18:22 2021 max relations containing the same ideal: 174
  237. Tue Feb 16 12:18:45 2021 removing 4346968 relations and 3346968 ideals in 1000000 cliques
  238. Tue Feb 16 12:18:47 2021 commencing in-memory singleton removal
  239. Tue Feb 16 12:18:52 2021 begin with 36555360 relations and 32590860 unique ideals
  240. Tue Feb 16 12:19:26 2021 reduce to 36055938 relations and 28728264 ideals in 8 passes
  241. Tue Feb 16 12:19:26 2021 max relations containing the same ideal: 159
  242. Tue Feb 16 12:19:48 2021 removing 3507200 relations and 2507200 ideals in 1000000 cliques
  243. Tue Feb 16 12:19:49 2021 commencing in-memory singleton removal
  244. Tue Feb 16 12:19:53 2021 begin with 32548738 relations and 28728264 unique ideals
  245. Tue Feb 16 12:20:23 2021 reduce to 32231237 relations and 25893922 ideals in 7 passes
  246. Tue Feb 16 12:20:23 2021 max relations containing the same ideal: 149
  247. Tue Feb 16 12:20:45 2021 removing 3248727 relations and 2248727 ideals in 1000000 cliques
  248. Tue Feb 16 12:20:46 2021 commencing in-memory singleton removal
  249. Tue Feb 16 12:20:50 2021 begin with 28982510 relations and 25893922 unique ideals
  250. Tue Feb 16 12:21:17 2021 reduce to 28700444 relations and 23354351 ideals in 7 passes
  251. Tue Feb 16 12:21:17 2021 max relations containing the same ideal: 135
  252. Tue Feb 16 12:21:37 2021 removing 3130240 relations and 2130240 ideals in 1000000 cliques
  253. Tue Feb 16 12:21:38 2021 commencing in-memory singleton removal
  254. Tue Feb 16 12:21:41 2021 begin with 25570204 relations and 23354351 unique ideals
  255. Tue Feb 16 12:22:04 2021 reduce to 25290860 relations and 20935564 ideals in 7 passes
  256. Tue Feb 16 12:22:04 2021 max relations containing the same ideal: 126
  257. Tue Feb 16 12:22:20 2021 removing 3071005 relations and 2071005 ideals in 1000000 cliques
  258. Tue Feb 16 12:22:21 2021 commencing in-memory singleton removal
  259. Tue Feb 16 12:22:24 2021 begin with 22219855 relations and 20935564 unique ideals
  260. Tue Feb 16 12:22:41 2021 reduce to 21926296 relations and 18560032 ideals in 7 passes
  261. Tue Feb 16 12:22:41 2021 max relations containing the same ideal: 114
  262. Tue Feb 16 12:22:54 2021 removing 3052216 relations and 2052216 ideals in 1000000 cliques
  263. Tue Feb 16 12:22:55 2021 commencing in-memory singleton removal
  264. Tue Feb 16 12:22:57 2021 begin with 18874080 relations and 18560032 unique ideals
  265. Tue Feb 16 12:23:12 2021 reduce to 18548403 relations and 16168740 ideals in 7 passes
  266. Tue Feb 16 12:23:12 2021 max relations containing the same ideal: 103
  267. Tue Feb 16 12:23:25 2021 removing 3054324 relations and 2054324 ideals in 1000000 cliques
  268. Tue Feb 16 12:23:26 2021 commencing in-memory singleton removal
  269. Tue Feb 16 12:23:28 2021 begin with 15494079 relations and 16168740 unique ideals
  270. Tue Feb 16 12:23:44 2021 reduce to 15113748 relations and 13715774 ideals in 8 passes
  271. Tue Feb 16 12:23:44 2021 max relations containing the same ideal: 90
  272. Tue Feb 16 12:23:55 2021 removing 3077396 relations and 2077396 ideals in 1000000 cliques
  273. Tue Feb 16 12:23:55 2021 commencing in-memory singleton removal
  274. Tue Feb 16 12:23:57 2021 begin with 12036352 relations and 13715774 unique ideals
  275. Tue Feb 16 12:24:09 2021 reduce to 11565729 relations and 11139318 ideals in 8 passes
  276. Tue Feb 16 12:24:09 2021 max relations containing the same ideal: 75
  277. Tue Feb 16 12:24:18 2021 removing 485229 relations and 390913 ideals in 94316 cliques
  278. Tue Feb 16 12:24:18 2021 commencing in-memory singleton removal
  279. Tue Feb 16 12:24:19 2021 begin with 11080500 relations and 11139318 unique ideals
  280. Tue Feb 16 12:24:28 2021 reduce to 11064027 relations and 10731780 ideals in 6 passes
  281. Tue Feb 16 12:24:28 2021 max relations containing the same ideal: 73
  282. Tue Feb 16 12:24:37 2021 relations with 0 large ideals: 21568
  283. Tue Feb 16 12:24:37 2021 relations with 1 large ideals: 3759
  284. Tue Feb 16 12:24:37 2021 relations with 2 large ideals: 44803
  285. Tue Feb 16 12:24:37 2021 relations with 3 large ideals: 298524
  286. Tue Feb 16 12:24:37 2021 relations with 4 large ideals: 1070793
  287. Tue Feb 16 12:24:37 2021 relations with 5 large ideals: 2267494
  288. Tue Feb 16 12:24:37 2021 relations with 6 large ideals: 3345688
  289. Tue Feb 16 12:24:37 2021 relations with 7+ large ideals: 4011398
  290. Tue Feb 16 12:24:37 2021 commencing 2-way merge
  291. Tue Feb 16 12:24:47 2021 reduce to 7311928 relation sets and 6979681 unique ideals
  292. Tue Feb 16 12:24:47 2021 commencing full merge
  293. Tue Feb 16 12:28:32 2021 memory use: 951.3 MB
  294. Tue Feb 16 12:28:33 2021 found 3436265 cycles, need 3407881
  295. Tue Feb 16 12:28:34 2021 weight of 3407881 cycles is about 341276124 (100.14/cycle)
  296. Tue Feb 16 12:28:34 2021 distribution of cycle lengths:
  297. Tue Feb 16 12:28:34 2021 1 relations: 204383
  298. Tue Feb 16 12:28:34 2021 2 relations: 245771
  299. Tue Feb 16 12:28:34 2021 3 relations: 268873
  300. Tue Feb 16 12:28:34 2021 4 relations: 271767
  301. Tue Feb 16 12:28:34 2021 5 relations: 271788
  302. Tue Feb 16 12:28:34 2021 6 relations: 264583
  303. Tue Feb 16 12:28:34 2021 7 relations: 253742
  304. Tue Feb 16 12:28:34 2021 8 relations: 235525
  305. Tue Feb 16 12:28:34 2021 9 relations: 216919
  306. Tue Feb 16 12:28:34 2021 10+ relations: 1174530
  307. Tue Feb 16 12:28:34 2021 heaviest cycle: 28 relations
  308. Tue Feb 16 12:28:35 2021 commencing cycle optimization
  309. Tue Feb 16 12:28:43 2021 start with 27563571 relations
  310. Tue Feb 16 12:30:16 2021 pruned 1213005 relations
  311. Tue Feb 16 12:30:16 2021 memory use: 741.4 MB
  312. Tue Feb 16 12:30:16 2021 distribution of cycle lengths:
  313. Tue Feb 16 12:30:16 2021 1 relations: 204383
  314. Tue Feb 16 12:30:16 2021 2 relations: 250968
  315. Tue Feb 16 12:30:16 2021 3 relations: 279441
  316. Tue Feb 16 12:30:16 2021 4 relations: 282509
  317. Tue Feb 16 12:30:16 2021 5 relations: 285412
  318. Tue Feb 16 12:30:16 2021 6 relations: 276996
  319. Tue Feb 16 12:30:16 2021 7 relations: 266360
  320. Tue Feb 16 12:30:16 2021 8 relations: 246243
  321. Tue Feb 16 12:30:16 2021 9 relations: 225557
  322. Tue Feb 16 12:30:16 2021 10+ relations: 1090012
  323. Tue Feb 16 12:30:16 2021 heaviest cycle: 28 relations
  324. Tue Feb 16 12:30:23 2021 RelProcTime: 1793
  325. Tue Feb 16 12:30:23 2021
  326. Tue Feb 16 12:30:23 2021 commencing linear algebra
  327. Tue Feb 16 12:30:23 2021 read 3407881 cycles
  328. Tue Feb 16 12:30:31 2021 cycles contain 10886026 unique relations
  329. Tue Feb 16 12:31:30 2021 read 10886026 relations
  330. Tue Feb 16 12:31:56 2021 using 20 quadratic characters above 4294917295
  331. Tue Feb 16 12:32:38 2021 building initial matrix
  332. Tue Feb 16 12:34:53 2021 memory use: 1341.2 MB
  333. Tue Feb 16 12:34:56 2021 read 3407881 cycles
  334. Tue Feb 16 12:34:57 2021 matrix is 3407704 x 3407881 (1367.3 MB) with weight 391528759 (114.89/col)
  335. Tue Feb 16 12:34:57 2021 sparse part has weight 320948582 (94.18/col)
  336. Tue Feb 16 12:35:33 2021 filtering completed in 2 passes
  337. Tue Feb 16 12:35:34 2021 matrix is 3407495 x 3407672 (1367.3 MB) with weight 391521655 (114.89/col)
  338. Tue Feb 16 12:35:34 2021 sparse part has weight 320945858 (94.18/col)
  339. Tue Feb 16 12:35:43 2021 matrix starts at (0, 0)
  340. Tue Feb 16 12:35:44 2021 matrix is 3407495 x 3407672 (1367.3 MB) with weight 391521655 (114.89/col)
  341. Tue Feb 16 12:35:44 2021 sparse part has weight 320945858 (94.18/col)
  342. Tue Feb 16 12:35:44 2021 saving the first 48 matrix rows for later
  343. Tue Feb 16 12:35:45 2021 matrix includes 64 packed rows
  344. Tue Feb 16 12:35:45 2021 matrix is 3407447 x 3407672 (1306.7 MB) with weight 331429978 (97.26/col)
  345. Tue Feb 16 12:35:45 2021 sparse part has weight 308479040 (90.52/col)
  346. Tue Feb 16 12:35:45 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  347. Tue Feb 16 12:35:58 2021 commencing Lanczos iteration (6 threads)
  348. Tue Feb 16 12:35:58 2021 memory use: 1089.0 MB
  349. Tue Feb 16 12:36:15 2021 linear algebra at 0.0%, ETA 9h57m
  350. Tue Feb 16 12:36:21 2021 checkpointing every 340000 dimensions
  351. Tue Feb 16 22:16:04 2021 lanczos halted after 53889 iterations (dim = 3407444)
  352. Tue Feb 16 22:16:07 2021 recovered 33 nontrivial dependencies
  353. Tue Feb 16 22:16:08 2021 BLanczosTime: 35145
  354. Tue Feb 16 22:16:08 2021
  355. Tue Feb 16 22:16:08 2021 commencing square root phase
  356. Tue Feb 16 22:16:08 2021 handling dependencies 1 to 64
  357. Tue Feb 16 22:16:08 2021 reading relations for dependency 1
  358. Tue Feb 16 22:16:09 2021 read 1704499 cycles
  359. Tue Feb 16 22:16:12 2021 cycles contain 5444086 unique relations
  360. Tue Feb 16 22:16:48 2021 read 5444086 relations
  361. Tue Feb 16 22:17:17 2021 multiplying 5444086 relations
  362. Tue Feb 16 22:19:13 2021 multiply complete, coefficients have about 131.47 million bits
  363. Tue Feb 16 22:19:14 2021 initial square root is modulo 2732488361
  364. Tue Feb 16 22:21:35 2021 found factor: 2762452433113989920649864357435547385133083900602749719612620522075951794119920417
  365. Tue Feb 16 22:21:35 2021 reading relations for dependency 2
  366. Tue Feb 16 22:21:36 2021 read 1704176 cycles
  367. Tue Feb 16 22:21:40 2021 cycles contain 5442778 unique relations
  368. Tue Feb 16 22:22:14 2021 read 5442778 relations
  369. Tue Feb 16 22:22:43 2021 multiplying 5442778 relations
  370. Tue Feb 16 22:24:36 2021 multiply complete, coefficients have about 131.44 million bits
  371. Tue Feb 16 22:24:37 2021 initial square root is modulo 2718536063
  372. Tue Feb 16 22:26:59 2021 Newton iteration failed to converge
  373. Tue Feb 16 22:26:59 2021 algebraic square root failed
  374. Tue Feb 16 22:26:59 2021 reading relations for dependency 3
  375. Tue Feb 16 22:27:00 2021 read 1703107 cycles
  376. Tue Feb 16 22:27:03 2021 cycles contain 5443994 unique relations
  377. Tue Feb 16 22:27:35 2021 read 5443994 relations
  378. Tue Feb 16 22:28:05 2021 multiplying 5443994 relations
  379. Tue Feb 16 22:30:03 2021 multiply complete, coefficients have about 131.46 million bits
  380. Tue Feb 16 22:30:04 2021 initial square root is modulo 2728310857
  381. Tue Feb 16 22:32:25 2021 sqrtTime: 977
  382. Tue Feb 16 22:32:25 2021 p65 factor: 48945737579865138056044157752203409575813174569300959131705100283
  383. Tue Feb 16 22:32:25 2021 p70 factor: 3117196808575380584375074447473922370424800629801715719130165768444447
  384. Tue Feb 16 22:32:25 2021 p82 factor: 2762452433113989920649864357435547385133083900602749719612620522075951794119920417
  385. Tue Feb 16 22:32:25 2021 elapsed time 10:31:57
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