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13*2^799-1 factorization

a guest Jun 21st, 2017 51 Never
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  1. Wed Jun 14 14:12:08 2017  
  2. Wed Jun 14 14:12:08 2017  
  3. Wed Jun 14 14:12:08 2017  Msieve v. 1.52 (SVN unknown)
  4. Wed Jun 14 14:12:08 2017  random seeds: a8615888 0b412482
  5. Wed Jun 14 14:12:08 2017  factoring 232389108699618321557459290694950351218738646825678975874486530700896401553189617686479734599832733812040057417227643521832109054078090754653623125431200337186463151290106481591370414553915983374424635623 (204 digits)
  6. Wed Jun 14 14:12:09 2017  no P-1/P+1/ECM available, skipping
  7. Wed Jun 14 14:12:09 2017  commencing number field sieve (204-digit input)
  8. Wed Jun 14 14:12:09 2017  R0: -10889035741470030830827987437816582766592
  9. Wed Jun 14 14:12:09 2017  R1: 1
  10. Wed Jun 14 14:12:09 2017  A0: -1
  11. Wed Jun 14 14:12:09 2017  A1: 0
  12. Wed Jun 14 14:12:09 2017  A2: 0
  13. Wed Jun 14 14:12:09 2017  A3: 0
  14. Wed Jun 14 14:12:09 2017  A4: 0
  15. Wed Jun 14 14:12:09 2017  A5: 0
  16. Wed Jun 14 14:12:09 2017  A6: 26
  17. Wed Jun 14 14:12:09 2017  skew 0.61, size 7.379e-12, alpha 0.805, combined = 5.065e-13 rroots = 2
  18. Wed Jun 14 14:12:09 2017  
  19. Wed Jun 14 14:12:09 2017  commencing relation filtering
  20. Wed Jun 14 14:12:09 2017  setting target matrix density to 128.0
  21. Wed Jun 14 14:12:09 2017  estimated available RAM is 15888.6 MB
  22. Wed Jun 14 14:12:09 2017  commencing duplicate removal, pass 1
  23. Wed Jun 14 14:14:44 2017  error -15 reading relation 31491553
  24. Wed Jun 14 14:14:47 2017  error -15 reading relation 32113754
  25. Wed Jun 14 14:18:55 2017  error -15 reading relation 82644459
  26. Wed Jun 14 14:39:29 2017  skipped 145 relations with b > 2^32
  27. Wed Jun 14 14:39:29 2017  found 21484476 hash collisions in 318699559 relations
  28. Wed Jun 14 14:39:41 2017  commencing duplicate removal, pass 2
  29. Wed Jun 14 14:41:22 2017  found 1 duplicates and 318699558 unique relations
  30. Wed Jun 14 14:41:22 2017  memory use: 1257.5 MB
  31. Wed Jun 14 14:41:22 2017  reading ideals above 110034944
  32. Wed Jun 14 14:41:22 2017  commencing singleton removal, initial pass
  33. Wed Jun 14 15:13:30 2017  memory use: 6024.0 MB
  34. Wed Jun 14 15:13:31 2017  reading all ideals from disk
  35. Wed Jun 14 15:13:48 2017  memory use: 5823.4 MB
  36. Wed Jun 14 15:14:10 2017  commencing in-memory singleton removal
  37. Wed Jun 14 15:14:31 2017  begin with 318699558 relations and 296011655 unique ideals
  38. Wed Jun 14 15:17:41 2017  reduce to 166018566 relations and 121944146 ideals in 17 passes
  39. Wed Jun 14 15:17:41 2017  max relations containing the same ideal: 31
  40. Wed Jun 14 15:17:52 2017  reading ideals above 720000
  41. Wed Jun 14 15:17:52 2017  commencing singleton removal, initial pass
  42. Wed Jun 14 15:39:35 2017  memory use: 3012.0 MB
  43. Wed Jun 14 15:39:35 2017  reading all ideals from disk
  44. Wed Jun 14 15:39:53 2017  memory use: 6417.1 MB
  45. Wed Jun 14 15:40:20 2017  keeping 133714799 ideals with weight <= 200, target excess is 839699
  46. Wed Jun 14 15:40:45 2017  commencing in-memory singleton removal
  47. Wed Jun 14 15:40:56 2017  begin with 166018566 relations and 133714799 unique ideals
  48. Wed Jun 14 15:41:50 2017  reduce to 166018547 relations and 133714780 ideals in 4 passes
  49. Wed Jun 14 15:41:50 2017  max relations containing the same ideal: 200
  50. Wed Jun 14 15:43:05 2017  removing 13898365 relations and 11898365 ideals in 2000000 cliques
  51. Wed Jun 14 15:43:09 2017  commencing in-memory singleton removal
  52. Wed Jun 14 15:43:20 2017  begin with 152120182 relations and 133714780 unique ideals
  53. Wed Jun 14 15:45:03 2017  reduce to 151297629 relations and 120980469 ideals in 9 passes
  54. Wed Jun 14 15:45:03 2017  max relations containing the same ideal: 196
  55. Wed Jun 14 15:46:10 2017  removing 10225913 relations and 8225913 ideals in 2000000 cliques
  56. Wed Jun 14 15:46:14 2017  commencing in-memory singleton removal
  57. Wed Jun 14 15:46:23 2017  begin with 141071716 relations and 120980469 unique ideals
  58. Wed Jun 14 15:47:47 2017  reduce to 140556708 relations and 112232601 ideals in 8 passes
  59. Wed Jun 14 15:47:47 2017  max relations containing the same ideal: 189
  60. Wed Jun 14 15:48:49 2017  removing 9062848 relations and 7062848 ideals in 2000000 cliques
  61. Wed Jun 14 15:48:52 2017  commencing in-memory singleton removal
  62. Wed Jun 14 15:49:00 2017  begin with 131493860 relations and 112232601 unique ideals
  63. Wed Jun 14 15:50:11 2017  reduce to 131053692 relations and 104723645 ideals in 8 passes
  64. Wed Jun 14 15:50:11 2017  max relations containing the same ideal: 182
  65. Wed Jun 14 15:51:00 2017  removing 8429009 relations and 6429009 ideals in 2000000 cliques
  66. Wed Jun 14 15:51:03 2017  commencing in-memory singleton removal
  67. Wed Jun 14 15:51:10 2017  begin with 122624683 relations and 104723645 unique ideals
  68. Wed Jun 14 15:52:13 2017  reduce to 122219234 relations and 97883460 ideals in 8 passes
  69. Wed Jun 14 15:52:13 2017  max relations containing the same ideal: 175
  70. Wed Jun 14 15:52:59 2017  removing 8019632 relations and 6019632 ideals in 2000000 cliques
  71. Wed Jun 14 15:53:02 2017  commencing in-memory singleton removal
  72. Wed Jun 14 15:53:08 2017  begin with 114199602 relations and 97883460 unique ideals
  73. Wed Jun 14 15:54:02 2017  reduce to 113810817 relations and 91469174 ideals in 8 passes
  74. Wed Jun 14 15:54:02 2017  max relations containing the same ideal: 167
  75. Wed Jun 14 15:54:46 2017  removing 7728789 relations and 5728789 ideals in 2000000 cliques
  76. Wed Jun 14 15:54:49 2017  commencing in-memory singleton removal
  77. Wed Jun 14 15:54:55 2017  begin with 106082028 relations and 91469174 unique ideals
  78. Wed Jun 14 15:55:48 2017  reduce to 105697494 relations and 85349859 ideals in 8 passes
  79. Wed Jun 14 15:55:48 2017  max relations containing the same ideal: 158
  80. Wed Jun 14 15:56:29 2017  removing 7515040 relations and 5515040 ideals in 2000000 cliques
  81. Wed Jun 14 15:56:31 2017  commencing in-memory singleton removal
  82. Wed Jun 14 15:56:37 2017  begin with 98182454 relations and 85349859 unique ideals
  83. Wed Jun 14 15:57:22 2017  reduce to 97798008 relations and 79443980 ideals in 7 passes
  84. Wed Jun 14 15:57:22 2017  max relations containing the same ideal: 150
  85. Wed Jun 14 15:57:58 2017  removing 7356382 relations and 5356382 ideals in 2000000 cliques
  86. Wed Jun 14 15:58:00 2017  commencing in-memory singleton removal
  87. Wed Jun 14 15:58:05 2017  begin with 90441626 relations and 79443980 unique ideals
  88. Wed Jun 14 15:58:49 2017  reduce to 90050594 relations and 73689495 ideals in 8 passes
  89. Wed Jun 14 15:58:49 2017  max relations containing the same ideal: 142
  90. Wed Jun 14 15:59:23 2017  removing 7233351 relations and 5233351 ideals in 2000000 cliques
  91. Wed Jun 14 15:59:26 2017  commencing in-memory singleton removal
  92. Wed Jun 14 15:59:31 2017  begin with 82817243 relations and 73689495 unique ideals
  93. Wed Jun 14 16:00:05 2017  reduce to 82412465 relations and 68043341 ideals in 7 passes
  94. Wed Jun 14 16:00:05 2017  max relations containing the same ideal: 134
  95. Wed Jun 14 16:00:36 2017  removing 7139322 relations and 5139322 ideals in 2000000 cliques
  96. Wed Jun 14 16:00:39 2017  commencing in-memory singleton removal
  97. Wed Jun 14 16:00:44 2017  begin with 75273143 relations and 68043341 unique ideals
  98. Wed Jun 14 16:01:25 2017  reduce to 74850073 relations and 62472103 ideals in 8 passes
  99. Wed Jun 14 16:01:25 2017  max relations containing the same ideal: 124
  100. Wed Jun 14 16:01:55 2017  removing 7070139 relations and 5070139 ideals in 2000000 cliques
  101. Wed Jun 14 16:01:58 2017  commencing in-memory singleton removal
  102. Wed Jun 14 16:02:02 2017  begin with 67779934 relations and 62472103 unique ideals
  103. Wed Jun 14 16:02:39 2017  reduce to 67327067 relations and 56938733 ideals in 8 passes
  104. Wed Jun 14 16:02:39 2017  max relations containing the same ideal: 116
  105. Wed Jun 14 16:03:06 2017  removing 7029129 relations and 5029129 ideals in 2000000 cliques
  106. Wed Jun 14 16:03:08 2017  commencing in-memory singleton removal
  107. Wed Jun 14 16:03:12 2017  begin with 60297938 relations and 56938733 unique ideals
  108. Wed Jun 14 16:03:38 2017  reduce to 59808154 relations and 51407388 ideals in 7 passes
  109. Wed Jun 14 16:03:38 2017  max relations containing the same ideal: 108
  110. Wed Jun 14 16:04:02 2017  removing 7001456 relations and 5001456 ideals in 2000000 cliques
  111. Wed Jun 14 16:04:05 2017  commencing in-memory singleton removal
  112. Wed Jun 14 16:04:08 2017  begin with 52806698 relations and 51407388 unique ideals
  113. Wed Jun 14 16:04:33 2017  reduce to 52265532 relations and 45849264 ideals in 8 passes
  114. Wed Jun 14 16:04:33 2017  max relations containing the same ideal: 98
  115. Wed Jun 14 16:04:53 2017  removing 6988562 relations and 4988562 ideals in 2000000 cliques
  116. Wed Jun 14 16:04:55 2017  commencing in-memory singleton removal
  117. Wed Jun 14 16:04:58 2017  begin with 45276970 relations and 45849264 unique ideals
  118. Wed Jun 14 16:05:20 2017  reduce to 44664701 relations and 40228728 ideals in 8 passes
  119. Wed Jun 14 16:05:20 2017  max relations containing the same ideal: 88
  120. Wed Jun 14 16:05:39 2017  removing 6988672 relations and 4988672 ideals in 2000000 cliques
  121. Wed Jun 14 16:05:41 2017  commencing in-memory singleton removal
  122. Wed Jun 14 16:05:43 2017  begin with 37676029 relations and 40228728 unique ideals
  123. Wed Jun 14 16:06:03 2017  reduce to 36959389 relations and 34496397 ideals in 8 passes
  124. Wed Jun 14 16:06:03 2017  max relations containing the same ideal: 82
  125. Wed Jun 14 16:06:19 2017  removing 5529749 relations and 4040808 ideals in 1488941 cliques
  126. Wed Jun 14 16:06:21 2017  commencing in-memory singleton removal
  127. Wed Jun 14 16:06:22 2017  begin with 31429640 relations and 34496397 unique ideals
  128. Wed Jun 14 16:06:41 2017  reduce to 30881961 relations and 29888931 ideals in 9 passes
  129. Wed Jun 14 16:06:41 2017  max relations containing the same ideal: 71
  130. Wed Jun 14 16:06:54 2017  removing 144017 relations and 125038 ideals in 18979 cliques
  131. Wed Jun 14 16:06:55 2017  commencing in-memory singleton removal
  132. Wed Jun 14 16:06:56 2017  begin with 30737944 relations and 29888931 unique ideals
  133. Wed Jun 14 16:07:04 2017  reduce to 30737567 relations and 29763516 ideals in 4 passes
  134. Wed Jun 14 16:07:04 2017  max relations containing the same ideal: 71
  135. Wed Jun 14 16:07:10 2017  relations with 0 large ideals: 32048
  136. Wed Jun 14 16:07:10 2017  relations with 1 large ideals: 19192
  137. Wed Jun 14 16:07:10 2017  relations with 2 large ideals: 250120
  138. Wed Jun 14 16:07:10 2017  relations with 3 large ideals: 1437588
  139. Wed Jun 14 16:07:10 2017  relations with 4 large ideals: 4334668
  140. Wed Jun 14 16:07:10 2017  relations with 5 large ideals: 7623729
  141. Wed Jun 14 16:07:10 2017  relations with 6 large ideals: 8192284
  142. Wed Jun 14 16:07:10 2017  relations with 7+ large ideals: 8847938
  143. Wed Jun 14 16:07:10 2017  commencing 2-way merge
  144. Wed Jun 14 16:07:24 2017  reduce to 18984970 relation sets and 18010919 unique ideals
  145. Wed Jun 14 16:07:24 2017  commencing full merge
  146. Wed Jun 14 16:19:11 2017  memory use: 840.2 MB
  147. Wed Jun 14 16:19:11 2017  found 60644 cycles, need 4239899
  148. Wed Jun 14 16:19:11 2017  too few cycles, matrix probably cannot build
  149. Thu Jun 15 01:45:18 2017  
  150. Thu Jun 15 01:45:18 2017  
  151. Thu Jun 15 01:45:18 2017  Msieve v. 1.52 (SVN unknown)
  152. Thu Jun 15 01:45:18 2017  random seeds: d00eb511 b640c135
  153. Thu Jun 15 01:45:18 2017  factoring 232389108699618321557459290694950351218738646825678975874486530700896401553189617686479734599832733812040057417227643521832109054078090754653623125431200337186463151290106481591370414553915983374424635623 (204 digits)
  154. Thu Jun 15 01:45:19 2017  no P-1/P+1/ECM available, skipping
  155. Thu Jun 15 01:45:19 2017  commencing number field sieve (204-digit input)
  156. Thu Jun 15 01:45:19 2017  R0: -10889035741470030830827987437816582766592
  157. Thu Jun 15 01:45:19 2017  R1: 1
  158. Thu Jun 15 01:45:19 2017  A0: -1
  159. Thu Jun 15 01:45:19 2017  A1: 0
  160. Thu Jun 15 01:45:19 2017  A2: 0
  161. Thu Jun 15 01:45:19 2017  A3: 0
  162. Thu Jun 15 01:45:19 2017  A4: 0
  163. Thu Jun 15 01:45:19 2017  A5: 0
  164. Thu Jun 15 01:45:19 2017  A6: 26
  165. Thu Jun 15 01:45:19 2017  skew 0.61, size 7.379e-12, alpha 0.805, combined = 5.065e-13 rroots = 2
  166. Thu Jun 15 01:45:19 2017  
  167. Thu Jun 15 01:45:19 2017  commencing relation filtering
  168. Thu Jun 15 01:45:19 2017  setting target matrix density to 120.0
  169. Thu Jun 15 01:45:19 2017  estimated available RAM is 15888.6 MB
  170. Thu Jun 15 01:45:19 2017  commencing duplicate removal, pass 1
  171. Thu Jun 15 01:47:43 2017  error -15 reading relation 31491553
  172. Thu Jun 15 01:47:46 2017  error -15 reading relation 32113754
  173. Thu Jun 15 01:51:53 2017  error -15 reading relation 82644459
  174. Thu Jun 15 02:11:07 2017  skipped 145 relations with b > 2^32
  175. Thu Jun 15 02:11:07 2017  found 21484476 hash collisions in 318699559 relations
  176. Thu Jun 15 02:11:18 2017  commencing duplicate removal, pass 2
  177. Thu Jun 15 02:13:00 2017  found 1 duplicates and 318699558 unique relations
  178. Thu Jun 15 02:13:00 2017  memory use: 1257.5 MB
  179. Thu Jun 15 02:13:00 2017  reading ideals above 110034944
  180. Thu Jun 15 02:13:00 2017  commencing singleton removal, initial pass
  181. Thu Jun 15 02:43:32 2017  memory use: 6024.0 MB
  182. Thu Jun 15 02:43:32 2017  reading all ideals from disk
  183. Thu Jun 15 02:43:50 2017  memory use: 5823.4 MB
  184. Thu Jun 15 02:44:10 2017  commencing in-memory singleton removal
  185. Thu Jun 15 02:44:30 2017  begin with 318699558 relations and 296011655 unique ideals
  186. Thu Jun 15 02:47:42 2017  reduce to 166018566 relations and 121944146 ideals in 17 passes
  187. Thu Jun 15 02:47:42 2017  max relations containing the same ideal: 31
  188. Thu Jun 15 02:47:54 2017  reading ideals above 720000
  189. Thu Jun 15 02:47:54 2017  commencing singleton removal, initial pass
  190. Thu Jun 15 03:09:00 2017  memory use: 3012.0 MB
  191. Thu Jun 15 03:09:00 2017  reading all ideals from disk
  192. Thu Jun 15 03:09:20 2017  memory use: 6417.1 MB
  193. Thu Jun 15 03:09:45 2017  keeping 133714799 ideals with weight <= 200, target excess is 839699
  194. Thu Jun 15 03:10:09 2017  commencing in-memory singleton removal
  195. Thu Jun 15 03:10:26 2017  begin with 166018566 relations and 133714799 unique ideals
  196. Thu Jun 15 03:11:29 2017  reduce to 166018547 relations and 133714780 ideals in 4 passes
  197. Thu Jun 15 03:11:29 2017  max relations containing the same ideal: 200
  198. Thu Jun 15 03:12:51 2017  removing 13898365 relations and 11898365 ideals in 2000000 cliques
  199. Thu Jun 15 03:12:55 2017  commencing in-memory singleton removal
  200. Thu Jun 15 03:13:07 2017  begin with 152120182 relations and 133714780 unique ideals
  201. Thu Jun 15 03:15:06 2017  reduce to 151297629 relations and 120980469 ideals in 9 passes
  202. Thu Jun 15 03:15:06 2017  max relations containing the same ideal: 196
  203. Thu Jun 15 03:16:14 2017  removing 10225913 relations and 8225913 ideals in 2000000 cliques
  204. Thu Jun 15 03:16:18 2017  commencing in-memory singleton removal
  205. Thu Jun 15 03:16:26 2017  begin with 141071716 relations and 120980469 unique ideals
  206. Thu Jun 15 03:17:50 2017  reduce to 140556708 relations and 112232601 ideals in 8 passes
  207. Thu Jun 15 03:17:50 2017  max relations containing the same ideal: 189
  208. Thu Jun 15 03:18:51 2017  removing 9062848 relations and 7062848 ideals in 2000000 cliques
  209. Thu Jun 15 03:18:54 2017  commencing in-memory singleton removal
  210. Thu Jun 15 03:19:02 2017  begin with 131493860 relations and 112232601 unique ideals
  211. Thu Jun 15 03:20:10 2017  reduce to 131053692 relations and 104723645 ideals in 8 passes
  212. Thu Jun 15 03:20:10 2017  max relations containing the same ideal: 182
  213. Thu Jun 15 03:21:01 2017  removing 8429009 relations and 6429009 ideals in 2000000 cliques
  214. Thu Jun 15 03:21:04 2017  commencing in-memory singleton removal
  215. Thu Jun 15 03:21:11 2017  begin with 122624683 relations and 104723645 unique ideals
  216. Thu Jun 15 03:22:17 2017  reduce to 122219234 relations and 97883460 ideals in 8 passes
  217. Thu Jun 15 03:22:17 2017  max relations containing the same ideal: 175
  218. Thu Jun 15 03:23:06 2017  removing 8019632 relations and 6019632 ideals in 2000000 cliques
  219. Thu Jun 15 03:23:09 2017  commencing in-memory singleton removal
  220. Thu Jun 15 03:23:16 2017  begin with 114199602 relations and 97883460 unique ideals
  221. Thu Jun 15 03:24:18 2017  reduce to 113810817 relations and 91469174 ideals in 8 passes
  222. Thu Jun 15 03:24:18 2017  max relations containing the same ideal: 167
  223. Thu Jun 15 03:25:03 2017  removing 7728789 relations and 5728789 ideals in 2000000 cliques
  224. Thu Jun 15 03:25:06 2017  commencing in-memory singleton removal
  225. Thu Jun 15 03:25:12 2017  begin with 106082028 relations and 91469174 unique ideals
  226. Thu Jun 15 03:26:07 2017  reduce to 105697494 relations and 85349859 ideals in 8 passes
  227. Thu Jun 15 03:26:07 2017  max relations containing the same ideal: 158
  228. Thu Jun 15 03:26:48 2017  removing 7515040 relations and 5515040 ideals in 2000000 cliques
  229. Thu Jun 15 03:26:51 2017  commencing in-memory singleton removal
  230. Thu Jun 15 03:26:56 2017  begin with 98182454 relations and 85349859 unique ideals
  231. Thu Jun 15 03:27:38 2017  reduce to 97798008 relations and 79443980 ideals in 7 passes
  232. Thu Jun 15 03:27:38 2017  max relations containing the same ideal: 150
  233. Thu Jun 15 03:28:16 2017  removing 7356382 relations and 5356382 ideals in 2000000 cliques
  234. Thu Jun 15 03:28:18 2017  commencing in-memory singleton removal
  235. Thu Jun 15 03:28:24 2017  begin with 90441626 relations and 79443980 unique ideals
  236. Thu Jun 15 03:29:11 2017  reduce to 90050594 relations and 73689495 ideals in 8 passes
  237. Thu Jun 15 03:29:11 2017  max relations containing the same ideal: 142
  238. Thu Jun 15 03:29:47 2017  removing 7233351 relations and 5233351 ideals in 2000000 cliques
  239. Thu Jun 15 03:29:49 2017  commencing in-memory singleton removal
  240. Thu Jun 15 03:29:54 2017  begin with 82817243 relations and 73689495 unique ideals
  241. Thu Jun 15 03:30:28 2017  reduce to 82412465 relations and 68043341 ideals in 7 passes
  242. Thu Jun 15 03:30:28 2017  max relations containing the same ideal: 134
  243. Thu Jun 15 03:31:00 2017  removing 7139322 relations and 5139322 ideals in 2000000 cliques
  244. Thu Jun 15 03:31:03 2017  commencing in-memory singleton removal
  245. Thu Jun 15 03:31:08 2017  begin with 75273143 relations and 68043341 unique ideals
  246. Thu Jun 15 03:31:46 2017  reduce to 74850073 relations and 62472103 ideals in 8 passes
  247. Thu Jun 15 03:31:46 2017  max relations containing the same ideal: 124
  248. Thu Jun 15 03:32:15 2017  removing 7070139 relations and 5070139 ideals in 2000000 cliques
  249. Thu Jun 15 03:32:17 2017  commencing in-memory singleton removal
  250. Thu Jun 15 03:32:21 2017  begin with 67779934 relations and 62472103 unique ideals
  251. Thu Jun 15 03:32:54 2017  reduce to 67327067 relations and 56938733 ideals in 8 passes
  252. Thu Jun 15 03:32:54 2017  max relations containing the same ideal: 116
  253. Thu Jun 15 03:33:21 2017  removing 7029129 relations and 5029129 ideals in 2000000 cliques
  254. Thu Jun 15 03:33:24 2017  commencing in-memory singleton removal
  255. Thu Jun 15 03:33:27 2017  begin with 60297938 relations and 56938733 unique ideals
  256. Thu Jun 15 03:33:53 2017  reduce to 59808154 relations and 51407388 ideals in 7 passes
  257. Thu Jun 15 03:33:53 2017  max relations containing the same ideal: 108
  258. Thu Jun 15 03:34:16 2017  removing 7001456 relations and 5001456 ideals in 2000000 cliques
  259. Thu Jun 15 03:34:19 2017  commencing in-memory singleton removal
  260. Thu Jun 15 03:34:21 2017  begin with 52806698 relations and 51407388 unique ideals
  261. Thu Jun 15 03:34:46 2017  reduce to 52265532 relations and 45849264 ideals in 8 passes
  262. Thu Jun 15 03:34:46 2017  max relations containing the same ideal: 98
  263. Thu Jun 15 03:35:07 2017  removing 6988562 relations and 4988562 ideals in 2000000 cliques
  264. Thu Jun 15 03:35:09 2017  commencing in-memory singleton removal
  265. Thu Jun 15 03:35:11 2017  begin with 45276970 relations and 45849264 unique ideals
  266. Thu Jun 15 03:35:33 2017  reduce to 44664701 relations and 40228728 ideals in 8 passes
  267. Thu Jun 15 03:35:33 2017  max relations containing the same ideal: 88
  268. Thu Jun 15 03:35:51 2017  removing 6988672 relations and 4988672 ideals in 2000000 cliques
  269. Thu Jun 15 03:35:53 2017  commencing in-memory singleton removal
  270. Thu Jun 15 03:35:55 2017  begin with 37676029 relations and 40228728 unique ideals
  271. Thu Jun 15 03:36:14 2017  reduce to 36959389 relations and 34496397 ideals in 8 passes
  272. Thu Jun 15 03:36:14 2017  max relations containing the same ideal: 82
  273. Thu Jun 15 03:36:30 2017  removing 5529749 relations and 4040808 ideals in 1488941 cliques
  274. Thu Jun 15 03:36:32 2017  commencing in-memory singleton removal
  275. Thu Jun 15 03:36:33 2017  begin with 31429640 relations and 34496397 unique ideals
  276. Thu Jun 15 03:36:50 2017  reduce to 30881961 relations and 29888931 ideals in 9 passes
  277. Thu Jun 15 03:36:50 2017  max relations containing the same ideal: 71
  278. Thu Jun 15 03:37:04 2017  removing 144017 relations and 125038 ideals in 18979 cliques
  279. Thu Jun 15 03:37:04 2017  commencing in-memory singleton removal
  280. Thu Jun 15 03:37:06 2017  begin with 30737944 relations and 29888931 unique ideals
  281. Thu Jun 15 03:37:14 2017  reduce to 30737567 relations and 29763516 ideals in 4 passes
  282. Thu Jun 15 03:37:14 2017  max relations containing the same ideal: 71
  283. Thu Jun 15 03:37:19 2017  relations with 0 large ideals: 32048
  284. Thu Jun 15 03:37:19 2017  relations with 1 large ideals: 19192
  285. Thu Jun 15 03:37:19 2017  relations with 2 large ideals: 250120
  286. Thu Jun 15 03:37:19 2017  relations with 3 large ideals: 1437588
  287. Thu Jun 15 03:37:19 2017  relations with 4 large ideals: 4334668
  288. Thu Jun 15 03:37:19 2017  relations with 5 large ideals: 7623729
  289. Thu Jun 15 03:37:19 2017  relations with 6 large ideals: 8192284
  290. Thu Jun 15 03:37:19 2017  relations with 7+ large ideals: 8847938
  291. Thu Jun 15 03:37:19 2017  commencing 2-way merge
  292. Thu Jun 15 03:37:34 2017  reduce to 18984970 relation sets and 18010919 unique ideals
  293. Thu Jun 15 03:37:34 2017  commencing full merge
  294. Thu Jun 15 03:44:02 2017  memory use: 2419.9 MB
  295. Thu Jun 15 03:44:04 2017  found 8580600 cycles, need 8537119
  296. Thu Jun 15 03:44:07 2017  weight of 8537119 cycles is about 1024914126 (120.05/cycle)
  297. Thu Jun 15 03:44:07 2017  distribution of cycle lengths:
  298. Thu Jun 15 03:44:07 2017  1 relations: 371948
  299. Thu Jun 15 03:44:07 2017  2 relations: 489347
  300. Thu Jun 15 03:44:07 2017  3 relations: 563442
  301. Thu Jun 15 03:44:07 2017  4 relations: 583477
  302. Thu Jun 15 03:44:07 2017  5 relations: 600070
  303. Thu Jun 15 03:44:07 2017  6 relations: 602624
  304. Thu Jun 15 03:44:07 2017  7 relations: 595164
  305. Thu Jun 15 03:44:07 2017  8 relations: 576728
  306. Thu Jun 15 03:44:07 2017  9 relations: 545058
  307. Thu Jun 15 03:44:07 2017  10+ relations: 3609261
  308. Thu Jun 15 03:44:07 2017  heaviest cycle: 28 relations
  309. Thu Jun 15 03:44:09 2017  commencing cycle optimization
  310. Thu Jun 15 03:44:24 2017  start with 78412342 relations
  311. Thu Jun 15 03:46:57 2017  pruned 3449750 relations
  312. Thu Jun 15 03:46:57 2017  memory use: 2071.8 MB
  313. Thu Jun 15 03:46:57 2017  distribution of cycle lengths:
  314. Thu Jun 15 03:46:57 2017  1 relations: 371948
  315. Thu Jun 15 03:46:57 2017  2 relations: 500277
  316. Thu Jun 15 03:46:57 2017  3 relations: 585125
  317. Thu Jun 15 03:46:57 2017  4 relations: 605863
  318. Thu Jun 15 03:46:57 2017  5 relations: 627899
  319. Thu Jun 15 03:46:57 2017  6 relations: 630486
  320. Thu Jun 15 03:46:57 2017  7 relations: 625938
  321. Thu Jun 15 03:46:57 2017  8 relations: 604166
  322. Thu Jun 15 03:46:57 2017  9 relations: 571961
  323. Thu Jun 15 03:46:57 2017  10+ relations: 3413456
  324. Thu Jun 15 03:46:57 2017  heaviest cycle: 28 relations
  325. Thu Jun 15 03:47:18 2017  RelProcTime: 7319
  326. Thu Jun 15 03:47:18 2017  
  327. Thu Jun 15 03:47:18 2017  commencing linear algebra
  328. Thu Jun 15 03:47:19 2017  read 8537119 cycles
  329. Thu Jun 15 03:47:37 2017  cycles contain 30167617 unique relations
  330. Thu Jun 15 03:50:43 2017  read 30167617 relations
  331. Thu Jun 15 03:51:40 2017  using 20 quadratic characters above 4294917296
  332. Thu Jun 15 03:53:41 2017  building initial matrix
  333. Thu Jun 15 03:59:27 2017  memory use: 3889.4 MB
  334. Thu Jun 15 03:59:31 2017  read 8537119 cycles
  335. Thu Jun 15 03:59:32 2017  matrix is 8536942 x 8537119 (4012.6 MB) with weight 1173968397 (137.51/col)
  336. Thu Jun 15 03:59:32 2017  sparse part has weight 957962563 (112.21/col)
  337. Thu Jun 15 04:01:25 2017  filtering completed in 2 passes
  338. Thu Jun 15 04:01:26 2017  matrix is 8536700 x 8536877 (4012.5 MB) with weight 1173958112 (137.52/col)
  339. Thu Jun 15 04:01:26 2017  sparse part has weight 957958967 (112.21/col)
  340. Thu Jun 15 04:01:59 2017  matrix starts at (0, 0)
  341. Thu Jun 15 04:02:00 2017  matrix is 8536700 x 8536877 (4012.5 MB) with weight 1173958112 (137.52/col)
  342. Thu Jun 15 04:02:00 2017  sparse part has weight 957958967 (112.21/col)
  343. Thu Jun 15 04:02:00 2017  saving the first 48 matrix rows for later
  344. Thu Jun 15 04:02:02 2017  matrix includes 64 packed rows
  345. Thu Jun 15 04:02:03 2017  matrix is 8536652 x 8536877 (3861.2 MB) with weight 1000635868 (117.21/col)
  346. Thu Jun 15 04:02:03 2017  sparse part has weight 926826230 (108.57/col)
  347. Thu Jun 15 04:02:04 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  348. Thu Jun 15 04:02:36 2017  commencing Lanczos iteration (5 threads)
  349. Thu Jun 15 04:02:36 2017  memory use: 3288.0 MB
  350. Thu Jun 15 04:03:34 2017  linear algebra at 0.0%, ETA 85h44m
  351. Thu Jun 15 04:03:52 2017  checkpointing every 100000 dimensions
  352. Sun Jun 18 10:46:25 2017  lanczos halted after 134997 iterations (dim = 8536650)
  353. Sun Jun 18 10:46:34 2017  recovered 36 nontrivial dependencies
  354. Sun Jun 18 10:46:34 2017  BLanczosTime: 284356
  355. Sun Jun 18 10:46:34 2017  
  356. Sun Jun 18 10:46:34 2017  commencing square root phase
  357. Sun Jun 18 10:46:34 2017  handling dependencies 1 to 64
  358. Sun Jun 18 10:46:34 2017  reading relations for dependency 1
  359. Sun Jun 18 10:46:35 2017  read 4268910 cycles
  360. Sun Jun 18 10:46:41 2017  cycles contain 15086372 unique relations
  361. Sun Jun 18 10:48:26 2017  read 15086372 relations
  362. Sun Jun 18 10:49:16 2017  multiplying 15086372 relations
  363. Sun Jun 18 10:57:43 2017  multiply complete, coefficients have about 436.71 million bits
  364. Sun Jun 18 10:57:44 2017  initial square root is modulo 68538697
  365. Sun Jun 18 11:07:08 2017  GCD is 1, no factor found
  366. Sun Jun 18 11:07:08 2017  reading relations for dependency 2
  367. Sun Jun 18 11:07:09 2017  read 4268051 cycles
  368. Sun Jun 18 11:07:16 2017  cycles contain 15079268 unique relations
  369. Sun Jun 18 11:09:00 2017  read 15079268 relations
  370. Sun Jun 18 11:09:52 2017  multiplying 15079268 relations
  371. Sun Jun 18 11:18:19 2017  multiply complete, coefficients have about 436.50 million bits
  372. Sun Jun 18 11:18:20 2017  initial square root is modulo 67940671
  373. Sun Jun 18 11:27:44 2017  sqrtTime: 2470
  374. Sun Jun 18 11:27:44 2017  prp69 factor: 209370136204278159718136227373541907648511964188507794118837216932973
  375. Sun Jun 18 11:27:44 2017  prp136 factor: 1109943915176522697462718074532204131651516579142092562807170493147836778490573392205395735235274719072201312266006383970551598398998051
  376. Sun Jun 18 11:27:44 2017  elapsed time 81:42:26
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