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C221_146_104 linear algebra log

fivemack
Dec 5th, 2018
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  1. Tue Nov 27 01:25:21 2018
  2. Tue Nov 27 01:25:21 2018
  3. Tue Nov 27 01:25:21 2018 Msieve v. 1.53 (SVN 993)
  4. Tue Nov 27 01:25:21 2018 random seeds: eb0feeee 75e038e6
  5. Tue Nov 27 01:25:21 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  6. Tue Nov 27 01:25:22 2018 no P-1/P+1/ECM available, skipping
  7. Tue Nov 27 01:25:22 2018 commencing number field sieve (221-digit input)
  8. Tue Nov 27 01:25:22 2018 R0: 19556458777555465647188627051954842734952448
  9. Tue Nov 27 01:25:22 2018 R1: -47477585226700098686074966922953
  10. Tue Nov 27 01:25:22 2018 A0: 5329
  11. Tue Nov 27 01:25:22 2018 A1: 0
  12. Tue Nov 27 01:25:22 2018 A2: 0
  13. Tue Nov 27 01:25:22 2018 A3: 0
  14. Tue Nov 27 01:25:22 2018 A4: 0
  15. Tue Nov 27 01:25:22 2018 A5: 0
  16. Tue Nov 27 01:25:22 2018 A6: 2704
  17. Tue Nov 27 01:25:22 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  18. Tue Nov 27 01:25:22 2018
  19. Tue Nov 27 01:25:22 2018 commencing relation filtering
  20. Tue Nov 27 01:25:22 2018 setting target matrix density to 70.0
  21. Tue Nov 27 01:25:22 2018 estimated available RAM is 95327.6 MB
  22. Tue Nov 27 01:25:22 2018 commencing duplicate removal, pass 1
  23. 240 errors
  24. Tue Nov 27 02:33:55 2018 skipped 170 relations with composite factors
  25. Tue Nov 27 02:33:55 2018 found 98883581 hash collisions in 437020029 relations
  26. Tue Nov 27 02:34:13 2018 added 1219412 free relations
  27. Tue Nov 27 02:34:13 2018 commencing duplicate removal, pass 2
  28. Tue Nov 27 02:38:13 2018 found 93523760 duplicates and 344715681 unique relations
  29. Tue Nov 27 02:38:13 2018 memory use: 2387.0 MB
  30. Tue Nov 27 02:38:13 2018 reading ideals above 379912192
  31. Tue Nov 27 02:38:13 2018 commencing singleton removal, initial pass
  32. Tue Nov 27 03:17:12 2018 memory use: 6024.0 MB
  33. Tue Nov 27 03:17:13 2018 reading all ideals from disk
  34. Tue Nov 27 03:17:24 2018 memory use: 5717.3 MB
  35. Tue Nov 27 03:17:39 2018 commencing in-memory singleton removal
  36. Tue Nov 27 03:17:53 2018 begin with 344715681 relations and 296181078 unique ideals
  37. Tue Nov 27 03:20:23 2018 reduce to 205368114 relations and 141073824 ideals in 16 passes
  38. Tue Nov 27 03:20:23 2018 max relations containing the same ideal: 27
  39. Tue Nov 27 03:20:33 2018 reading ideals above 720000
  40. Tue Nov 27 03:20:33 2018 commencing singleton removal, initial pass
  41. Tue Nov 27 03:51:16 2018 memory use: 5512.0 MB
  42. Tue Nov 27 03:51:16 2018 reading all ideals from disk
  43. Tue Nov 27 03:51:34 2018 memory use: 8801.8 MB
  44. Tue Nov 27 03:52:00 2018 keeping 180638278 ideals with weight <= 200, target excess is 1075783
  45. Tue Nov 27 03:52:28 2018 commencing in-memory singleton removal
  46. Tue Nov 27 03:52:48 2018 begin with 205368114 relations and 180638278 unique ideals
  47. Tue Nov 27 03:56:11 2018 reduce to 205327406 relations and 180597568 ideals in 10 passes
  48. Tue Nov 27 03:56:11 2018 max relations containing the same ideal: 200
  49. Tue Nov 27 03:58:10 2018 removing 14680371 relations and 12680371 ideals in 2000000 cliques
  50. Tue Nov 27 03:58:17 2018 commencing in-memory singleton removal
  51. Tue Nov 27 03:58:36 2018 begin with 190647035 relations and 180597568 unique ideals
  52. Tue Nov 27 04:01:26 2018 reduce to 189889966 relations and 167150491 ideals in 9 passes
  53. Tue Nov 27 04:01:26 2018 max relations containing the same ideal: 197
  54. Tue Nov 27 04:03:16 2018 removing 10986953 relations and 8986953 ideals in 2000000 cliques
  55. Tue Nov 27 04:03:22 2018 commencing in-memory singleton removal
  56. Tue Nov 27 04:03:40 2018 begin with 178903013 relations and 167150491 unique ideals
  57. Tue Nov 27 04:06:18 2018 reduce to 178424338 relations and 157679642 ideals in 9 passes
  58. Tue Nov 27 04:06:18 2018 max relations containing the same ideal: 191
  59. Tue Nov 27 04:08:02 2018 removing 9832863 relations and 7832863 ideals in 2000000 cliques
  60. Tue Nov 27 04:08:07 2018 commencing in-memory singleton removal
  61. Tue Nov 27 04:08:24 2018 begin with 168591475 relations and 157679642 unique ideals
  62. Tue Nov 27 04:10:36 2018 reduce to 168180877 relations and 149431703 ideals in 8 passes
  63. Tue Nov 27 04:10:36 2018 max relations containing the same ideal: 185
  64. Tue Nov 27 04:12:13 2018 removing 9205816 relations and 7205816 ideals in 2000000 cliques
  65. Tue Nov 27 04:12:18 2018 commencing in-memory singleton removal
  66. Tue Nov 27 04:12:34 2018 begin with 158975061 relations and 149431703 unique ideals
  67. Tue Nov 27 04:14:22 2018 reduce to 158592350 relations and 141839097 ideals in 7 passes
  68. Tue Nov 27 04:14:22 2018 max relations containing the same ideal: 179
  69. Tue Nov 27 04:15:54 2018 removing 8796907 relations and 6796907 ideals in 2000000 cliques
  70. Tue Nov 27 04:15:59 2018 commencing in-memory singleton removal
  71. Tue Nov 27 04:16:13 2018 begin with 149795443 relations and 141839097 unique ideals
  72. Tue Nov 27 04:17:55 2018 reduce to 149429311 relations and 134671853 ideals in 7 passes
  73. Tue Nov 27 04:17:55 2018 max relations containing the same ideal: 174
  74. Tue Nov 27 04:19:21 2018 removing 8509962 relations and 6509962 ideals in 2000000 cliques
  75. Tue Nov 27 04:19:26 2018 commencing in-memory singleton removal
  76. Tue Nov 27 04:19:40 2018 begin with 140919349 relations and 134671853 unique ideals
  77. Tue Nov 27 04:21:27 2018 reduce to 140554781 relations and 127793075 ideals in 8 passes
  78. Tue Nov 27 04:21:27 2018 max relations containing the same ideal: 167
  79. Tue Nov 27 04:22:49 2018 removing 8302866 relations and 6302866 ideals in 2000000 cliques
  80. Tue Nov 27 04:22:53 2018 commencing in-memory singleton removal
  81. Tue Nov 27 04:23:06 2018 begin with 132251915 relations and 127793075 unique ideals
  82. Tue Nov 27 04:24:34 2018 reduce to 131888117 relations and 121121966 ideals in 7 passes
  83. Tue Nov 27 04:24:34 2018 max relations containing the same ideal: 161
  84. Tue Nov 27 04:25:51 2018 removing 8152743 relations and 6152743 ideals in 2000000 cliques
  85. Tue Nov 27 04:25:55 2018 commencing in-memory singleton removal
  86. Tue Nov 27 04:26:07 2018 begin with 123735374 relations and 121121966 unique ideals
  87. Tue Nov 27 04:27:40 2018 reduce to 123363683 relations and 114592730 ideals in 8 passes
  88. Tue Nov 27 04:27:40 2018 max relations containing the same ideal: 153
  89. Tue Nov 27 04:28:51 2018 removing 8044064 relations and 6044064 ideals in 2000000 cliques
  90. Tue Nov 27 04:28:55 2018 commencing in-memory singleton removal
  91. Tue Nov 27 04:29:06 2018 begin with 115319619 relations and 114592730 unique ideals
  92. Tue Nov 27 04:30:22 2018 reduce to 114934354 relations and 108158044 ideals in 7 passes
  93. Tue Nov 27 04:30:22 2018 max relations containing the same ideal: 149
  94. Tue Nov 27 04:31:29 2018 removing 7966412 relations and 5966412 ideals in 2000000 cliques
  95. Tue Nov 27 04:31:32 2018 commencing in-memory singleton removal
  96. Tue Nov 27 04:31:42 2018 begin with 106967942 relations and 108158044 unique ideals
  97. Tue Nov 27 04:33:12 2018 reduce to 106563086 relations and 101780873 ideals in 9 passes
  98. Tue Nov 27 04:33:12 2018 max relations containing the same ideal: 140
  99. Tue Nov 27 04:34:14 2018 removing 7918787 relations and 5918787 ideals in 2000000 cliques
  100. Tue Nov 27 04:34:17 2018 commencing in-memory singleton removal
  101. Tue Nov 27 04:34:27 2018 begin with 98644299 relations and 101780873 unique ideals
  102. Tue Nov 27 04:35:31 2018 reduce to 98210446 relations and 95421481 ideals in 7 passes
  103. Tue Nov 27 04:35:31 2018 max relations containing the same ideal: 130
  104. Tue Nov 27 04:36:28 2018 removing 6377532 relations and 4836476 ideals in 1541056 cliques
  105. Tue Nov 27 04:36:31 2018 commencing in-memory singleton removal
  106. Tue Nov 27 04:36:40 2018 begin with 91832914 relations and 95421481 unique ideals
  107. Tue Nov 27 04:37:47 2018 reduce to 91530798 relations and 90278621 ideals in 8 passes
  108. Tue Nov 27 04:37:47 2018 max relations containing the same ideal: 126
  109. Tue Nov 27 04:38:57 2018 relations with 0 large ideals: 40896
  110. Tue Nov 27 04:38:57 2018 relations with 1 large ideals: 9120
  111. Tue Nov 27 04:38:57 2018 relations with 2 large ideals: 117134
  112. Tue Nov 27 04:38:57 2018 relations with 3 large ideals: 953097
  113. Tue Nov 27 04:38:57 2018 relations with 4 large ideals: 4309780
  114. Tue Nov 27 04:38:57 2018 relations with 5 large ideals: 11880685
  115. Tue Nov 27 04:38:57 2018 relations with 6 large ideals: 20912333
  116. Tue Nov 27 04:38:57 2018 relations with 7+ large ideals: 53307753
  117. Tue Nov 27 04:38:57 2018 commencing 2-way merge
  118. Tue Nov 27 04:40:06 2018 reduce to 60073956 relation sets and 58821779 unique ideals
  119. Tue Nov 27 04:40:06 2018 commencing full merge
  120. Tue Nov 27 04:54:36 2018 memory use: 7196.2 MB
  121. Tue Nov 27 04:54:45 2018 found 33017561 cycles, need 32841979
  122. Tue Nov 27 04:55:00 2018 weight of 32841979 cycles is about 2299062129 (70.00/cycle)
  123. Tue Nov 27 04:55:00 2018 distribution of cycle lengths:
  124. Tue Nov 27 04:55:00 2018 1 relations: 4338993
  125. Tue Nov 27 04:55:00 2018 2 relations: 4299974
  126. Tue Nov 27 04:55:00 2018 3 relations: 4281230
  127. Tue Nov 27 04:55:00 2018 4 relations: 3921446
  128. Tue Nov 27 04:55:00 2018 5 relations: 3506762
  129. Tue Nov 27 04:55:00 2018 6 relations: 3057714
  130. Tue Nov 27 04:55:00 2018 7 relations: 2571675
  131. Tue Nov 27 04:55:00 2018 8 relations: 2054018
  132. Tue Nov 27 04:55:00 2018 9 relations: 1563453
  133. Tue Nov 27 04:55:00 2018 10+ relations: 3246714
  134. Tue Nov 27 04:55:00 2018 heaviest cycle: 19 relations
  135. Tue Nov 27 04:55:13 2018 commencing cycle optimization
  136. Tue Nov 27 04:56:00 2018 start with 163150765 relations
  137. Tue Nov 27 04:59:43 2018 pruned 3746467 relations
  138. Tue Nov 27 04:59:46 2018 memory use: 5461.0 MB
  139. Tue Nov 27 04:59:46 2018 distribution of cycle lengths:
  140. Tue Nov 27 04:59:46 2018 1 relations: 4338993
  141. Tue Nov 27 04:59:46 2018 2 relations: 4385304
  142. Tue Nov 27 04:59:46 2018 3 relations: 4426741
  143. Tue Nov 27 04:59:46 2018 4 relations: 4013153
  144. Tue Nov 27 04:59:46 2018 5 relations: 3593039
  145. Tue Nov 27 04:59:46 2018 6 relations: 3098490
  146. Tue Nov 27 04:59:46 2018 7 relations: 2585087
  147. Tue Nov 27 04:59:46 2018 8 relations: 2027670
  148. Tue Nov 27 04:59:46 2018 9 relations: 1515084
  149. Tue Nov 27 04:59:46 2018 10+ relations: 2858418
  150. Tue Nov 27 04:59:46 2018 heaviest cycle: 19 relations
  151. Tue Nov 27 05:00:48 2018 RelProcTime: 12926
  152. Tue Nov 27 05:01:06 2018 elapsed time 03:35:45
  153. Tue Nov 27 05:01:06 2018
  154. Tue Nov 27 05:01:06 2018
  155. Tue Nov 27 05:01:06 2018 Msieve v. 1.53 (SVN 993)
  156. Tue Nov 27 05:01:06 2018 random seeds: fbf0d3a8 e2ac7c61
  157. Tue Nov 27 05:01:06 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  158. Tue Nov 27 05:01:08 2018 no P-1/P+1/ECM available, skipping
  159. Tue Nov 27 05:01:08 2018 commencing number field sieve (221-digit input)
  160. Tue Nov 27 05:01:08 2018 R0: 19556458777555465647188627051954842734952448
  161. Tue Nov 27 05:01:08 2018 R1: -47477585226700098686074966922953
  162. Tue Nov 27 05:01:08 2018 A0: 5329
  163. Tue Nov 27 05:01:08 2018 A1: 0
  164. Tue Nov 27 05:01:08 2018 A2: 0
  165. Tue Nov 27 05:01:08 2018 A3: 0
  166. Tue Nov 27 05:01:08 2018 A4: 0
  167. Tue Nov 27 05:01:08 2018 A5: 0
  168. Tue Nov 27 05:01:08 2018 A6: 2704
  169. Tue Nov 27 05:01:08 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  170. Tue Nov 27 05:01:08 2018
  171. Tue Nov 27 05:01:08 2018 commencing relation filtering
  172. Tue Nov 27 05:01:08 2018 setting target matrix density to 134.0
  173. Tue Nov 27 05:01:08 2018 estimated available RAM is 95327.6 MB
  174. Tue Nov 27 05:01:08 2018 commencing duplicate removal, pass 1
  175. 240 errors
  176. Tue Nov 27 06:09:47 2018 skipped 170 relations with composite factors
  177. Tue Nov 27 06:09:47 2018 found 99019797 hash collisions in 438239441 relations
  178. Tue Nov 27 06:10:00 2018 commencing duplicate removal, pass 2
  179. Tue Nov 27 06:13:41 2018 found 93523760 duplicates and 344715681 unique relations
  180. Tue Nov 27 06:13:41 2018 memory use: 2387.0 MB
  181. Tue Nov 27 06:13:41 2018 reading ideals above 379912192
  182. Tue Nov 27 06:13:41 2018 commencing singleton removal, initial pass
  183. Tue Nov 27 06:51:06 2018 memory use: 6024.0 MB
  184. Tue Nov 27 06:51:07 2018 reading all ideals from disk
  185. Tue Nov 27 06:51:18 2018 memory use: 5717.3 MB
  186. Tue Nov 27 06:51:33 2018 commencing in-memory singleton removal
  187. Tue Nov 27 06:51:47 2018 begin with 344715681 relations and 296181078 unique ideals
  188. Tue Nov 27 06:54:16 2018 reduce to 205368114 relations and 141073824 ideals in 16 passes
  189. Tue Nov 27 06:54:16 2018 max relations containing the same ideal: 27
  190. Tue Nov 27 06:54:25 2018 reading ideals above 720000
  191. Tue Nov 27 06:54:26 2018 commencing singleton removal, initial pass
  192. Tue Nov 27 07:23:04 2018 memory use: 5512.0 MB
  193. Tue Nov 27 07:23:04 2018 reading all ideals from disk
  194. Tue Nov 27 07:23:23 2018 memory use: 8801.8 MB
  195. Tue Nov 27 07:23:48 2018 keeping 180638278 ideals with weight <= 200, target excess is 1075783
  196. Tue Nov 27 07:24:16 2018 commencing in-memory singleton removal
  197. Tue Nov 27 07:24:35 2018 begin with 205368114 relations and 180638278 unique ideals
  198. Tue Nov 27 07:27:55 2018 reduce to 205327406 relations and 180597568 ideals in 10 passes
  199. Tue Nov 27 07:27:55 2018 max relations containing the same ideal: 200
  200. Tue Nov 27 07:29:49 2018 removing 14680371 relations and 12680371 ideals in 2000000 cliques
  201. Tue Nov 27 07:29:56 2018 commencing in-memory singleton removal
  202. Tue Nov 27 07:30:09 2018 begin with 190647035 relations and 180597568 unique ideals
  203. Tue Nov 27 07:32:31 2018 reduce to 189889966 relations and 167150491 ideals in 9 passes
  204. Tue Nov 27 07:32:31 2018 max relations containing the same ideal: 197
  205. Tue Nov 27 07:34:01 2018 removing 10986953 relations and 8986953 ideals in 2000000 cliques
  206. Tue Nov 27 07:34:07 2018 commencing in-memory singleton removal
  207. Tue Nov 27 07:34:19 2018 begin with 178903013 relations and 167150491 unique ideals
  208. Tue Nov 27 07:36:31 2018 reduce to 178424338 relations and 157679642 ideals in 9 passes
  209. Tue Nov 27 07:36:31 2018 max relations containing the same ideal: 191
  210. Tue Nov 27 07:37:55 2018 removing 9832863 relations and 7832863 ideals in 2000000 cliques
  211. Tue Nov 27 07:38:00 2018 commencing in-memory singleton removal
  212. Tue Nov 27 07:38:11 2018 begin with 168591475 relations and 157679642 unique ideals
  213. Tue Nov 27 07:39:55 2018 reduce to 168180877 relations and 149431703 ideals in 8 passes
  214. Tue Nov 27 07:39:55 2018 max relations containing the same ideal: 185
  215. Tue Nov 27 07:41:12 2018 removing 9205816 relations and 7205816 ideals in 2000000 cliques
  216. Tue Nov 27 07:41:17 2018 commencing in-memory singleton removal
  217. Tue Nov 27 07:41:27 2018 begin with 158975061 relations and 149431703 unique ideals
  218. Tue Nov 27 07:42:55 2018 reduce to 158592350 relations and 141839097 ideals in 7 passes
  219. Tue Nov 27 07:42:55 2018 max relations containing the same ideal: 179
  220. Tue Nov 27 07:44:08 2018 removing 8796907 relations and 6796907 ideals in 2000000 cliques
  221. Tue Nov 27 07:44:12 2018 commencing in-memory singleton removal
  222. Tue Nov 27 07:44:21 2018 begin with 149795443 relations and 141839097 unique ideals
  223. Tue Nov 27 07:45:43 2018 reduce to 149429311 relations and 134671853 ideals in 7 passes
  224. Tue Nov 27 07:45:43 2018 max relations containing the same ideal: 174
  225. Tue Nov 27 07:46:50 2018 removing 8509962 relations and 6509962 ideals in 2000000 cliques
  226. Tue Nov 27 07:46:55 2018 commencing in-memory singleton removal
  227. Tue Nov 27 07:47:05 2018 begin with 140919349 relations and 134671853 unique ideals
  228. Tue Nov 27 07:48:34 2018 reduce to 140554781 relations and 127793075 ideals in 8 passes
  229. Tue Nov 27 07:48:34 2018 max relations containing the same ideal: 167
  230. Tue Nov 27 07:49:37 2018 removing 8302866 relations and 6302866 ideals in 2000000 cliques
  231. Tue Nov 27 07:49:41 2018 commencing in-memory singleton removal
  232. Tue Nov 27 07:49:50 2018 begin with 132251915 relations and 127793075 unique ideals
  233. Tue Nov 27 07:51:01 2018 reduce to 131888117 relations and 121121966 ideals in 7 passes
  234. Tue Nov 27 07:51:01 2018 max relations containing the same ideal: 161
  235. Tue Nov 27 07:52:00 2018 removing 8152743 relations and 6152743 ideals in 2000000 cliques
  236. Tue Nov 27 07:52:04 2018 commencing in-memory singleton removal
  237. Tue Nov 27 07:52:12 2018 begin with 123735374 relations and 121121966 unique ideals
  238. Tue Nov 27 07:53:28 2018 reduce to 123363683 relations and 114592730 ideals in 8 passes
  239. Tue Nov 27 07:53:28 2018 max relations containing the same ideal: 153
  240. Tue Nov 27 07:54:23 2018 removing 8044064 relations and 6044064 ideals in 2000000 cliques
  241. Tue Nov 27 07:54:27 2018 commencing in-memory singleton removal
  242. Tue Nov 27 07:54:34 2018 begin with 115319619 relations and 114592730 unique ideals
  243. Tue Nov 27 07:55:36 2018 reduce to 114934354 relations and 108158044 ideals in 7 passes
  244. Tue Nov 27 07:55:36 2018 max relations containing the same ideal: 149
  245. Tue Nov 27 07:56:28 2018 removing 7966412 relations and 5966412 ideals in 2000000 cliques
  246. Tue Nov 27 07:56:32 2018 commencing in-memory singleton removal
  247. Tue Nov 27 07:56:38 2018 begin with 106967942 relations and 108158044 unique ideals
  248. Tue Nov 27 07:57:51 2018 reduce to 106563086 relations and 101780873 ideals in 9 passes
  249. Tue Nov 27 07:57:51 2018 max relations containing the same ideal: 140
  250. Tue Nov 27 07:58:39 2018 removing 7918787 relations and 5918787 ideals in 2000000 cliques
  251. Tue Nov 27 07:58:43 2018 commencing in-memory singleton removal
  252. Tue Nov 27 07:58:49 2018 begin with 98644299 relations and 101780873 unique ideals
  253. Tue Nov 27 07:59:41 2018 reduce to 98210446 relations and 95421481 ideals in 7 passes
  254. Tue Nov 27 07:59:41 2018 max relations containing the same ideal: 130
  255. Tue Nov 27 08:00:26 2018 removing 6377532 relations and 4836476 ideals in 1541056 cliques
  256. Tue Nov 27 08:00:29 2018 commencing in-memory singleton removal
  257. Tue Nov 27 08:00:34 2018 begin with 91832914 relations and 95421481 unique ideals
  258. Tue Nov 27 08:01:30 2018 reduce to 91530798 relations and 90278621 ideals in 8 passes
  259. Tue Nov 27 08:01:30 2018 max relations containing the same ideal: 126
  260. Tue Nov 27 08:02:27 2018 relations with 0 large ideals: 40896
  261. Tue Nov 27 08:02:27 2018 relations with 1 large ideals: 9120
  262. Tue Nov 27 08:02:27 2018 relations with 2 large ideals: 117134
  263. Tue Nov 27 08:02:27 2018 relations with 3 large ideals: 953097
  264. Tue Nov 27 08:02:27 2018 relations with 4 large ideals: 4309780
  265. Tue Nov 27 08:02:27 2018 relations with 5 large ideals: 11880685
  266. Tue Nov 27 08:02:27 2018 relations with 6 large ideals: 20912333
  267. Tue Nov 27 08:02:27 2018 relations with 7+ large ideals: 53307753
  268. Tue Nov 27 08:02:27 2018 commencing 2-way merge
  269. Tue Nov 27 08:03:21 2018 reduce to 60073956 relation sets and 58821779 unique ideals
  270. Tue Nov 27 08:03:21 2018 commencing full merge
  271. Tue Nov 27 08:51:47 2018 memory use: 2713.7 MB
  272. Tue Nov 27 08:51:47 2018 found 142913 cycles, need 12472483
  273. Tue Nov 27 08:51:47 2018 too few cycles, matrix probably cannot build
  274. Tue Nov 27 08:51:48 2018
  275. Tue Nov 27 08:51:48 2018
  276. Tue Nov 27 08:51:48 2018 Msieve v. 1.53 (SVN 993)
  277. Tue Nov 27 08:51:48 2018 random seeds: a1474266 3c094659
  278. Tue Nov 27 08:51:48 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  279. Tue Nov 27 08:51:49 2018 no P-1/P+1/ECM available, skipping
  280. Tue Nov 27 08:51:49 2018 commencing number field sieve (221-digit input)
  281. Tue Nov 27 08:51:49 2018 R0: 19556458777555465647188627051954842734952448
  282. Tue Nov 27 08:51:49 2018 R1: -47477585226700098686074966922953
  283. Tue Nov 27 08:51:49 2018 A0: 5329
  284. Tue Nov 27 08:51:49 2018 A1: 0
  285. Tue Nov 27 08:51:49 2018 A2: 0
  286. Tue Nov 27 08:51:49 2018 A3: 0
  287. Tue Nov 27 08:51:49 2018 A4: 0
  288. Tue Nov 27 08:51:49 2018 A5: 0
  289. Tue Nov 27 08:51:49 2018 A6: 2704
  290. Tue Nov 27 08:51:49 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  291. Tue Nov 27 08:51:49 2018
  292. Tue Nov 27 08:51:49 2018 commencing relation filtering
  293. Tue Nov 27 08:51:49 2018 setting target matrix density to 102.0
  294. Tue Nov 27 08:51:49 2018 estimated available RAM is 95327.6 MB
  295. Tue Nov 27 08:51:49 2018 commencing duplicate removal, pass 1
  296. 240 errors
  297. Tue Nov 27 09:56:22 2018 skipped 170 relations with composite factors
  298. Tue Nov 27 09:56:22 2018 found 99019797 hash collisions in 438239441 relations
  299. Tue Nov 27 09:56:35 2018 commencing duplicate removal, pass 2
  300. Tue Nov 27 09:59:57 2018 found 93523760 duplicates and 344715681 unique relations
  301. Tue Nov 27 09:59:57 2018 memory use: 2387.0 MB
  302. Tue Nov 27 09:59:57 2018 reading ideals above 379912192
  303. Tue Nov 27 09:59:57 2018 commencing singleton removal, initial pass
  304. Tue Nov 27 10:35:04 2018 memory use: 6024.0 MB
  305. Tue Nov 27 10:35:04 2018 reading all ideals from disk
  306. Tue Nov 27 10:35:09 2018 memory use: 5717.3 MB
  307. Tue Nov 27 10:35:23 2018 commencing in-memory singleton removal
  308. Tue Nov 27 10:35:37 2018 begin with 344715681 relations and 296181078 unique ideals
  309. Tue Nov 27 10:38:03 2018 reduce to 205368114 relations and 141073824 ideals in 16 passes
  310. Tue Nov 27 10:38:03 2018 max relations containing the same ideal: 27
  311. Tue Nov 27 10:38:12 2018 reading ideals above 720000
  312. Tue Nov 27 10:38:12 2018 commencing singleton removal, initial pass
  313. Tue Nov 27 11:07:05 2018 memory use: 5512.0 MB
  314. Tue Nov 27 11:07:05 2018 reading all ideals from disk
  315. Tue Nov 27 11:07:19 2018 memory use: 8801.8 MB
  316. Tue Nov 27 11:07:44 2018 keeping 180638278 ideals with weight <= 200, target excess is 1075783
  317. Tue Nov 27 11:08:11 2018 commencing in-memory singleton removal
  318. Tue Nov 27 11:08:31 2018 begin with 205368114 relations and 180638278 unique ideals
  319. Tue Nov 27 11:11:47 2018 reduce to 205327406 relations and 180597568 ideals in 10 passes
  320. Tue Nov 27 11:11:47 2018 max relations containing the same ideal: 200
  321. Tue Nov 27 11:13:39 2018 removing 14680371 relations and 12680371 ideals in 2000000 cliques
  322. Tue Nov 27 11:13:45 2018 commencing in-memory singleton removal
  323. Tue Nov 27 11:14:02 2018 begin with 190647035 relations and 180597568 unique ideals
  324. Tue Nov 27 11:16:40 2018 reduce to 189889966 relations and 167150491 ideals in 9 passes
  325. Tue Nov 27 11:16:40 2018 max relations containing the same ideal: 197
  326. Tue Nov 27 11:18:08 2018 removing 10986953 relations and 8986953 ideals in 2000000 cliques
  327. Tue Nov 27 11:18:14 2018 commencing in-memory singleton removal
  328. Tue Nov 27 11:18:25 2018 begin with 178903013 relations and 167150491 unique ideals
  329. Tue Nov 27 11:20:31 2018 reduce to 178424338 relations and 157679642 ideals in 9 passes
  330. Tue Nov 27 11:20:31 2018 max relations containing the same ideal: 191
  331. Tue Nov 27 11:21:51 2018 removing 9832863 relations and 7832863 ideals in 2000000 cliques
  332. Tue Nov 27 11:21:56 2018 commencing in-memory singleton removal
  333. Tue Nov 27 11:22:07 2018 begin with 168591475 relations and 157679642 unique ideals
  334. Tue Nov 27 11:23:52 2018 reduce to 168180877 relations and 149431703 ideals in 8 passes
  335. Tue Nov 27 11:23:52 2018 max relations containing the same ideal: 185
  336. Tue Nov 27 11:25:07 2018 removing 9205816 relations and 7205816 ideals in 2000000 cliques
  337. Tue Nov 27 11:25:12 2018 commencing in-memory singleton removal
  338. Tue Nov 27 11:25:22 2018 begin with 158975061 relations and 149431703 unique ideals
  339. Tue Nov 27 11:26:49 2018 reduce to 158592350 relations and 141839097 ideals in 7 passes
  340. Tue Nov 27 11:26:49 2018 max relations containing the same ideal: 179
  341. Tue Nov 27 11:27:59 2018 removing 8796907 relations and 6796907 ideals in 2000000 cliques
  342. Tue Nov 27 11:28:04 2018 commencing in-memory singleton removal
  343. Tue Nov 27 11:28:13 2018 begin with 149795443 relations and 141839097 unique ideals
  344. Tue Nov 27 11:29:34 2018 reduce to 149429311 relations and 134671853 ideals in 7 passes
  345. Tue Nov 27 11:29:34 2018 max relations containing the same ideal: 174
  346. Tue Nov 27 11:30:42 2018 removing 8509962 relations and 6509962 ideals in 2000000 cliques
  347. Tue Nov 27 11:30:46 2018 commencing in-memory singleton removal
  348. Tue Nov 27 11:30:55 2018 begin with 140919349 relations and 134671853 unique ideals
  349. Tue Nov 27 11:32:21 2018 reduce to 140554781 relations and 127793075 ideals in 8 passes
  350. Tue Nov 27 11:32:21 2018 max relations containing the same ideal: 167
  351. Tue Nov 27 11:33:24 2018 removing 8302866 relations and 6302866 ideals in 2000000 cliques
  352. Tue Nov 27 11:33:28 2018 commencing in-memory singleton removal
  353. Tue Nov 27 11:33:36 2018 begin with 132251915 relations and 127793075 unique ideals
  354. Tue Nov 27 11:34:46 2018 reduce to 131888117 relations and 121121966 ideals in 7 passes
  355. Tue Nov 27 11:34:46 2018 max relations containing the same ideal: 161
  356. Tue Nov 27 11:35:45 2018 removing 8152743 relations and 6152743 ideals in 2000000 cliques
  357. Tue Nov 27 11:35:49 2018 commencing in-memory singleton removal
  358. Tue Nov 27 11:35:57 2018 begin with 123735374 relations and 121121966 unique ideals
  359. Tue Nov 27 11:37:12 2018 reduce to 123363683 relations and 114592730 ideals in 8 passes
  360. Tue Nov 27 11:37:12 2018 max relations containing the same ideal: 153
  361. Tue Nov 27 11:38:06 2018 removing 8044064 relations and 6044064 ideals in 2000000 cliques
  362. Tue Nov 27 11:38:09 2018 commencing in-memory singleton removal
  363. Tue Nov 27 11:38:17 2018 begin with 115319619 relations and 114592730 unique ideals
  364. Tue Nov 27 11:39:18 2018 reduce to 114934354 relations and 108158044 ideals in 7 passes
  365. Tue Nov 27 11:39:18 2018 max relations containing the same ideal: 149
  366. Tue Nov 27 11:40:08 2018 removing 7966412 relations and 5966412 ideals in 2000000 cliques
  367. Tue Nov 27 11:40:11 2018 commencing in-memory singleton removal
  368. Tue Nov 27 11:40:18 2018 begin with 106967942 relations and 108158044 unique ideals
  369. Tue Nov 27 11:41:31 2018 reduce to 106563086 relations and 101780873 ideals in 9 passes
  370. Tue Nov 27 11:41:31 2018 max relations containing the same ideal: 140
  371. Tue Nov 27 11:42:17 2018 removing 7918787 relations and 5918787 ideals in 2000000 cliques
  372. Tue Nov 27 11:42:21 2018 commencing in-memory singleton removal
  373. Tue Nov 27 11:42:27 2018 begin with 98644299 relations and 101780873 unique ideals
  374. Tue Nov 27 11:43:19 2018 reduce to 98210446 relations and 95421481 ideals in 7 passes
  375. Tue Nov 27 11:43:19 2018 max relations containing the same ideal: 130
  376. Tue Nov 27 11:44:02 2018 removing 6377532 relations and 4836476 ideals in 1541056 cliques
  377. Tue Nov 27 11:44:05 2018 commencing in-memory singleton removal
  378. Tue Nov 27 11:44:11 2018 begin with 91832914 relations and 95421481 unique ideals
  379. Tue Nov 27 11:45:06 2018 reduce to 91530798 relations and 90278621 ideals in 8 passes
  380. Tue Nov 27 11:45:06 2018 max relations containing the same ideal: 126
  381. Tue Nov 27 11:46:03 2018 relations with 0 large ideals: 40896
  382. Tue Nov 27 11:46:03 2018 relations with 1 large ideals: 9120
  383. Tue Nov 27 11:46:03 2018 relations with 2 large ideals: 117134
  384. Tue Nov 27 11:46:03 2018 relations with 3 large ideals: 953097
  385. Tue Nov 27 11:46:03 2018 relations with 4 large ideals: 4309780
  386. Tue Nov 27 11:46:03 2018 relations with 5 large ideals: 11880685
  387. Tue Nov 27 11:46:03 2018 relations with 6 large ideals: 20912333
  388. Tue Nov 27 11:46:03 2018 relations with 7+ large ideals: 53307753
  389. Tue Nov 27 11:46:03 2018 commencing 2-way merge
  390. Tue Nov 27 11:46:55 2018 reduce to 60073956 relation sets and 58821779 unique ideals
  391. Tue Nov 27 11:46:55 2018 commencing full merge
  392. Tue Nov 27 12:06:49 2018 memory use: 7661.7 MB
  393. Tue Nov 27 12:06:56 2018 found 28885096 cycles, need 28745979
  394. Tue Nov 27 12:07:08 2018 weight of 28745979 cycles is about 2932364902 (102.01/cycle)
  395. Tue Nov 27 12:07:08 2018 distribution of cycle lengths:
  396. Tue Nov 27 12:07:08 2018 1 relations: 2059846
  397. Tue Nov 27 12:07:08 2018 2 relations: 2431178
  398. Tue Nov 27 12:07:08 2018 3 relations: 2607864
  399. Tue Nov 27 12:07:08 2018 4 relations: 2567465
  400. Tue Nov 27 12:07:08 2018 5 relations: 2502197
  401. Tue Nov 27 12:07:08 2018 6 relations: 2343530
  402. Tue Nov 27 12:07:08 2018 7 relations: 2203029
  403. Tue Nov 27 12:07:08 2018 8 relations: 2015721
  404. Tue Nov 27 12:07:08 2018 9 relations: 1805393
  405. Tue Nov 27 12:07:08 2018 10+ relations: 8209756
  406. Tue Nov 27 12:07:08 2018 heaviest cycle: 28 relations
  407. Tue Nov 27 12:07:20 2018 commencing cycle optimization
  408. Tue Nov 27 12:08:21 2018 start with 208732783 relations
  409. Tue Nov 27 12:15:14 2018 pruned 7629152 relations
  410. Tue Nov 27 12:15:16 2018 memory use: 5960.2 MB
  411. Tue Nov 27 12:15:16 2018 distribution of cycle lengths:
  412. Tue Nov 27 12:15:16 2018 1 relations: 2059846
  413. Tue Nov 27 12:15:16 2018 2 relations: 2487914
  414. Tue Nov 27 12:15:16 2018 3 relations: 2715063
  415. Tue Nov 27 12:15:16 2018 4 relations: 2661658
  416. Tue Nov 27 12:15:16 2018 5 relations: 2605961
  417. Tue Nov 27 12:15:16 2018 6 relations: 2429220
  418. Tue Nov 27 12:15:16 2018 7 relations: 2280742
  419. Tue Nov 27 12:15:16 2018 8 relations: 2067689
  420. Tue Nov 27 12:15:16 2018 9 relations: 1843720
  421. Tue Nov 27 12:15:16 2018 10+ relations: 7594166
  422. Tue Nov 27 12:15:16 2018 heaviest cycle: 27 relations
  423. Tue Nov 27 12:16:15 2018 RelProcTime: 12266
  424. Tue Nov 27 12:16:29 2018 elapsed time 03:24:41
  425. Tue Nov 27 12:16:29 2018
  426. Tue Nov 27 12:16:29 2018
  427. Tue Nov 27 12:16:29 2018 Msieve v. 1.53 (SVN 993)
  428. Tue Nov 27 12:16:29 2018 random seeds: 94f69f85 8206308d
  429. Tue Nov 27 12:16:29 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  430. Tue Nov 27 12:16:31 2018 no P-1/P+1/ECM available, skipping
  431. Tue Nov 27 12:16:31 2018 commencing number field sieve (221-digit input)
  432. Tue Nov 27 12:16:31 2018 R0: 19556458777555465647188627051954842734952448
  433. Tue Nov 27 12:16:31 2018 R1: -47477585226700098686074966922953
  434. Tue Nov 27 12:16:31 2018 A0: 5329
  435. Tue Nov 27 12:16:31 2018 A1: 0
  436. Tue Nov 27 12:16:31 2018 A2: 0
  437. Tue Nov 27 12:16:31 2018 A3: 0
  438. Tue Nov 27 12:16:31 2018 A4: 0
  439. Tue Nov 27 12:16:31 2018 A5: 0
  440. Tue Nov 27 12:16:31 2018 A6: 2704
  441. Tue Nov 27 12:16:31 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  442. Tue Nov 27 12:16:31 2018
  443. Tue Nov 27 12:16:31 2018 commencing relation filtering
  444. Tue Nov 27 12:16:31 2018 setting target matrix density to 118.0
  445. Tue Nov 27 12:16:31 2018 estimated available RAM is 95327.6 MB
  446. Tue Nov 27 12:16:31 2018 commencing duplicate removal, pass 1
  447. 240 errors
  448. Tue Nov 27 13:20:04 2018 skipped 170 relations with composite factors
  449. Tue Nov 27 13:20:04 2018 found 99019797 hash collisions in 438239441 relations
  450. Tue Nov 27 13:20:17 2018 commencing duplicate removal, pass 2
  451. Tue Nov 27 13:23:30 2018 found 93523760 duplicates and 344715681 unique relations
  452. Tue Nov 27 13:23:30 2018 memory use: 2387.0 MB
  453. Tue Nov 27 13:23:30 2018 reading ideals above 379912192
  454. Tue Nov 27 13:23:30 2018 commencing singleton removal, initial pass
  455. Tue Nov 27 13:57:26 2018 memory use: 6024.0 MB
  456. Tue Nov 27 13:57:27 2018 reading all ideals from disk
  457. Tue Nov 27 13:57:29 2018 memory use: 5717.3 MB
  458. Tue Nov 27 13:57:39 2018 commencing in-memory singleton removal
  459. Tue Nov 27 13:57:47 2018 begin with 344715681 relations and 296181078 unique ideals
  460. Tue Nov 27 13:59:42 2018 reduce to 205368114 relations and 141073824 ideals in 16 passes
  461. Tue Nov 27 13:59:42 2018 max relations containing the same ideal: 27
  462. Tue Nov 27 13:59:51 2018 reading ideals above 720000
  463. Tue Nov 27 13:59:51 2018 commencing singleton removal, initial pass
  464. Tue Nov 27 14:27:45 2018 memory use: 5512.0 MB
  465. Tue Nov 27 14:27:45 2018 reading all ideals from disk
  466. Tue Nov 27 14:27:54 2018 memory use: 8801.8 MB
  467. Tue Nov 27 14:28:18 2018 keeping 180638278 ideals with weight <= 200, target excess is 1075783
  468. Tue Nov 27 14:28:45 2018 commencing in-memory singleton removal
  469. Tue Nov 27 14:29:04 2018 begin with 205368114 relations and 180638278 unique ideals
  470. Tue Nov 27 14:32:17 2018 reduce to 205327406 relations and 180597568 ideals in 10 passes
  471. Tue Nov 27 14:32:17 2018 max relations containing the same ideal: 200
  472. Tue Nov 27 14:34:02 2018 removing 14680371 relations and 12680371 ideals in 2000000 cliques
  473. Tue Nov 27 14:34:08 2018 commencing in-memory singleton removal
  474. Tue Nov 27 14:34:22 2018 begin with 190647035 relations and 180597568 unique ideals
  475. Tue Nov 27 14:36:42 2018 reduce to 189889966 relations and 167150491 ideals in 9 passes
  476. Tue Nov 27 14:36:42 2018 max relations containing the same ideal: 197
  477. Tue Nov 27 14:38:12 2018 removing 10986953 relations and 8986953 ideals in 2000000 cliques
  478. Tue Nov 27 14:38:17 2018 commencing in-memory singleton removal
  479. Tue Nov 27 14:38:29 2018 begin with 178903013 relations and 167150491 unique ideals
  480. Tue Nov 27 14:40:36 2018 reduce to 178424338 relations and 157679642 ideals in 9 passes
  481. Tue Nov 27 14:40:36 2018 max relations containing the same ideal: 191
  482. Tue Nov 27 14:41:52 2018 removing 9832863 relations and 7832863 ideals in 2000000 cliques
  483. Tue Nov 27 14:41:57 2018 commencing in-memory singleton removal
  484. Tue Nov 27 14:42:08 2018 begin with 168591475 relations and 157679642 unique ideals
  485. Tue Nov 27 14:43:51 2018 reduce to 168180877 relations and 149431703 ideals in 8 passes
  486. Tue Nov 27 14:43:51 2018 max relations containing the same ideal: 185
  487. Tue Nov 27 14:45:01 2018 removing 9205816 relations and 7205816 ideals in 2000000 cliques
  488. Tue Nov 27 14:45:06 2018 commencing in-memory singleton removal
  489. Tue Nov 27 14:45:16 2018 begin with 158975061 relations and 149431703 unique ideals
  490. Tue Nov 27 14:46:41 2018 reduce to 158592350 relations and 141839097 ideals in 7 passes
  491. Tue Nov 27 14:46:41 2018 max relations containing the same ideal: 179
  492. Tue Nov 27 14:47:47 2018 removing 8796907 relations and 6796907 ideals in 2000000 cliques
  493. Tue Nov 27 14:47:51 2018 commencing in-memory singleton removal
  494. Tue Nov 27 14:48:01 2018 begin with 149795443 relations and 141839097 unique ideals
  495. Tue Nov 27 14:49:21 2018 reduce to 149429311 relations and 134671853 ideals in 7 passes
  496. Tue Nov 27 14:49:21 2018 max relations containing the same ideal: 174
  497. Tue Nov 27 14:50:24 2018 removing 8509962 relations and 6509962 ideals in 2000000 cliques
  498. Tue Nov 27 14:50:28 2018 commencing in-memory singleton removal
  499. Tue Nov 27 14:50:37 2018 begin with 140919349 relations and 134671853 unique ideals
  500. Tue Nov 27 14:52:02 2018 reduce to 140554781 relations and 127793075 ideals in 8 passes
  501. Tue Nov 27 14:52:02 2018 max relations containing the same ideal: 167
  502. Tue Nov 27 14:53:02 2018 removing 8302866 relations and 6302866 ideals in 2000000 cliques
  503. Tue Nov 27 14:53:06 2018 commencing in-memory singleton removal
  504. Tue Nov 27 14:53:14 2018 begin with 132251915 relations and 127793075 unique ideals
  505. Tue Nov 27 14:54:25 2018 reduce to 131888117 relations and 121121966 ideals in 7 passes
  506. Tue Nov 27 14:54:25 2018 max relations containing the same ideal: 161
  507. Tue Nov 27 14:55:21 2018 removing 8152743 relations and 6152743 ideals in 2000000 cliques
  508. Tue Nov 27 14:55:25 2018 commencing in-memory singleton removal
  509. Tue Nov 27 14:55:33 2018 begin with 123735374 relations and 121121966 unique ideals
  510. Tue Nov 27 14:56:48 2018 reduce to 123363683 relations and 114592730 ideals in 8 passes
  511. Tue Nov 27 14:56:48 2018 max relations containing the same ideal: 153
  512. Tue Nov 27 14:57:40 2018 removing 8044064 relations and 6044064 ideals in 2000000 cliques
  513. Tue Nov 27 14:57:44 2018 commencing in-memory singleton removal
  514. Tue Nov 27 14:57:51 2018 begin with 115319619 relations and 114592730 unique ideals
  515. Tue Nov 27 14:58:52 2018 reduce to 114934354 relations and 108158044 ideals in 7 passes
  516. Tue Nov 27 14:58:52 2018 max relations containing the same ideal: 149
  517. Tue Nov 27 14:59:41 2018 removing 7966412 relations and 5966412 ideals in 2000000 cliques
  518. Tue Nov 27 14:59:45 2018 commencing in-memory singleton removal
  519. Tue Nov 27 14:59:52 2018 begin with 106967942 relations and 108158044 unique ideals
  520. Tue Nov 27 15:01:04 2018 reduce to 106563086 relations and 101780873 ideals in 9 passes
  521. Tue Nov 27 15:01:04 2018 max relations containing the same ideal: 140
  522. Tue Nov 27 15:01:50 2018 removing 7918787 relations and 5918787 ideals in 2000000 cliques
  523. Tue Nov 27 15:01:54 2018 commencing in-memory singleton removal
  524. Tue Nov 27 15:02:00 2018 begin with 98644299 relations and 101780873 unique ideals
  525. Tue Nov 27 15:02:52 2018 reduce to 98210446 relations and 95421481 ideals in 7 passes
  526. Tue Nov 27 15:02:52 2018 max relations containing the same ideal: 130
  527. Tue Nov 27 15:03:35 2018 removing 6377532 relations and 4836476 ideals in 1541056 cliques
  528. Tue Nov 27 15:03:38 2018 commencing in-memory singleton removal
  529. Tue Nov 27 15:03:44 2018 begin with 91832914 relations and 95421481 unique ideals
  530. Tue Nov 27 15:04:39 2018 reduce to 91530798 relations and 90278621 ideals in 8 passes
  531. Tue Nov 27 15:04:39 2018 max relations containing the same ideal: 126
  532. Tue Nov 27 15:05:35 2018 relations with 0 large ideals: 40896
  533. Tue Nov 27 15:05:35 2018 relations with 1 large ideals: 9120
  534. Tue Nov 27 15:05:35 2018 relations with 2 large ideals: 117134
  535. Tue Nov 27 15:05:35 2018 relations with 3 large ideals: 953097
  536. Tue Nov 27 15:05:35 2018 relations with 4 large ideals: 4309780
  537. Tue Nov 27 15:05:35 2018 relations with 5 large ideals: 11880685
  538. Tue Nov 27 15:05:35 2018 relations with 6 large ideals: 20912333
  539. Tue Nov 27 15:05:35 2018 relations with 7+ large ideals: 53307753
  540. Tue Nov 27 15:05:35 2018 commencing 2-way merge
  541. Tue Nov 27 15:06:26 2018 reduce to 60073956 relation sets and 58821779 unique ideals
  542. Tue Nov 27 15:06:26 2018 commencing full merge
  543. Tue Nov 27 15:28:55 2018 memory use: 7826.4 MB
  544. Tue Nov 27 15:29:01 2018 found 27491746 cycles, need 27443979
  545. Tue Nov 27 15:29:15 2018 weight of 27443979 cycles is about 3238638148 (118.01/cycle)
  546. Tue Nov 27 15:29:15 2018 distribution of cycle lengths:
  547. Tue Nov 27 15:29:15 2018 1 relations: 1504353
  548. Tue Nov 27 15:29:15 2018 2 relations: 1913568
  549. Tue Nov 27 15:29:15 2018 3 relations: 2138978
  550. Tue Nov 27 15:29:15 2018 4 relations: 2145992
  551. Tue Nov 27 15:29:15 2018 5 relations: 2124807
  552. Tue Nov 27 15:29:15 2018 6 relations: 2053639
  553. Tue Nov 27 15:29:15 2018 7 relations: 1952802
  554. Tue Nov 27 15:29:15 2018 8 relations: 1842264
  555. Tue Nov 27 15:29:15 2018 9 relations: 1711153
  556. Tue Nov 27 15:29:15 2018 10+ relations: 10056423
  557. Tue Nov 27 15:29:15 2018 heaviest cycle: 28 relations
  558. Tue Nov 27 15:29:24 2018 commencing cycle optimization
  559. Tue Nov 27 15:30:17 2018 start with 230309566 relations
  560. Tue Nov 27 15:38:41 2018 pruned 9727860 relations
  561. Tue Nov 27 15:38:41 2018 memory use: 6182.0 MB
  562. Tue Nov 27 15:38:41 2018 distribution of cycle lengths:
  563. Tue Nov 27 15:38:41 2018 1 relations: 1504353
  564. Tue Nov 27 15:38:41 2018 2 relations: 1960612
  565. Tue Nov 27 15:38:41 2018 3 relations: 2230149
  566. Tue Nov 27 15:38:41 2018 4 relations: 2232182
  567. Tue Nov 27 15:38:41 2018 5 relations: 2225211
  568. Tue Nov 27 15:38:41 2018 6 relations: 2140702
  569. Tue Nov 27 15:38:41 2018 7 relations: 2039944
  570. Tue Nov 27 15:38:41 2018 8 relations: 1910862
  571. Tue Nov 27 15:38:41 2018 9 relations: 1769927
  572. Tue Nov 27 15:38:41 2018 10+ relations: 9430037
  573. Tue Nov 27 15:38:41 2018 heaviest cycle: 28 relations
  574. Tue Nov 27 15:39:48 2018 RelProcTime: 12197
  575. Tue Nov 27 15:39:56 2018 elapsed time 03:23:27
  576. Tue Nov 27 15:39:57 2018
  577. Tue Nov 27 15:39:57 2018
  578. Tue Nov 27 15:39:57 2018 Msieve v. 1.53 (SVN 993)
  579. Tue Nov 27 15:39:57 2018 random seeds: 8ec463c0 f3398b5e
  580. Tue Nov 27 15:39:57 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  581. Tue Nov 27 15:39:58 2018 no P-1/P+1/ECM available, skipping
  582. Tue Nov 27 15:39:58 2018 commencing number field sieve (221-digit input)
  583. Tue Nov 27 15:39:58 2018 R0: 19556458777555465647188627051954842734952448
  584. Tue Nov 27 15:39:58 2018 R1: -47477585226700098686074966922953
  585. Tue Nov 27 15:39:58 2018 A0: 5329
  586. Tue Nov 27 15:39:58 2018 A1: 0
  587. Tue Nov 27 15:39:58 2018 A2: 0
  588. Tue Nov 27 15:39:58 2018 A3: 0
  589. Tue Nov 27 15:39:58 2018 A4: 0
  590. Tue Nov 27 15:39:58 2018 A5: 0
  591. Tue Nov 27 15:39:58 2018 A6: 2704
  592. Tue Nov 27 15:39:58 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  593. Tue Nov 27 15:39:58 2018
  594. Tue Nov 27 15:39:58 2018 commencing relation filtering
  595. Tue Nov 27 15:39:58 2018 setting target matrix density to 126.0
  596. Tue Nov 27 15:39:58 2018 estimated available RAM is 95327.6 MB
  597. Tue Nov 27 15:39:58 2018 commencing duplicate removal, pass 1
  598. 240 errors
  599. Tue Nov 27 16:44:34 2018 skipped 170 relations with composite factors
  600. Tue Nov 27 16:44:34 2018 found 99019797 hash collisions in 438239441 relations
  601. Tue Nov 27 16:44:47 2018 commencing duplicate removal, pass 2
  602. Tue Nov 27 16:48:01 2018 found 93523760 duplicates and 344715681 unique relations
  603. Tue Nov 27 16:48:01 2018 memory use: 2387.0 MB
  604. Tue Nov 27 16:48:01 2018 reading ideals above 379912192
  605. Tue Nov 27 16:48:01 2018 commencing singleton removal, initial pass
  606. Tue Nov 27 17:22:13 2018 memory use: 6024.0 MB
  607. Tue Nov 27 17:22:13 2018 reading all ideals from disk
  608. Tue Nov 27 17:22:15 2018 memory use: 5717.3 MB
  609. Tue Nov 27 17:22:24 2018 commencing in-memory singleton removal
  610. Tue Nov 27 17:22:33 2018 begin with 344715681 relations and 296181078 unique ideals
  611. Tue Nov 27 17:24:28 2018 reduce to 205368114 relations and 141073824 ideals in 16 passes
  612. Tue Nov 27 17:24:28 2018 max relations containing the same ideal: 27
  613. Tue Nov 27 17:24:36 2018 reading ideals above 720000
  614. Tue Nov 27 17:24:37 2018 commencing singleton removal, initial pass
  615. Tue Nov 27 17:52:22 2018 memory use: 5512.0 MB
  616. Tue Nov 27 17:52:22 2018 reading all ideals from disk
  617. Tue Nov 27 17:52:30 2018 memory use: 8801.8 MB
  618. Tue Nov 27 17:52:54 2018 keeping 180638278 ideals with weight <= 200, target excess is 1075783
  619. Tue Nov 27 17:53:21 2018 commencing in-memory singleton removal
  620. Tue Nov 27 17:53:40 2018 begin with 205368114 relations and 180638278 unique ideals
  621. Tue Nov 27 17:56:54 2018 reduce to 205327406 relations and 180597568 ideals in 10 passes
  622. Tue Nov 27 17:56:54 2018 max relations containing the same ideal: 200
  623. Tue Nov 27 17:58:40 2018 removing 14680371 relations and 12680371 ideals in 2000000 cliques
  624. Tue Nov 27 17:58:46 2018 commencing in-memory singleton removal
  625. Tue Nov 27 17:58:59 2018 begin with 190647035 relations and 180597568 unique ideals
  626. Tue Nov 27 18:01:15 2018 reduce to 189889966 relations and 167150491 ideals in 9 passes
  627. Tue Nov 27 18:01:15 2018 max relations containing the same ideal: 197
  628. Tue Nov 27 18:02:38 2018 removing 10986953 relations and 8986953 ideals in 2000000 cliques
  629. Tue Nov 27 18:02:44 2018 commencing in-memory singleton removal
  630. Tue Nov 27 18:02:55 2018 begin with 178903013 relations and 167150491 unique ideals
  631. Tue Nov 27 18:04:58 2018 reduce to 178424338 relations and 157679642 ideals in 9 passes
  632. Tue Nov 27 18:04:58 2018 max relations containing the same ideal: 191
  633. Tue Nov 27 18:06:15 2018 removing 9832863 relations and 7832863 ideals in 2000000 cliques
  634. Tue Nov 27 18:06:20 2018 commencing in-memory singleton removal
  635. Tue Nov 27 18:06:30 2018 begin with 168591475 relations and 157679642 unique ideals
  636. Tue Nov 27 18:08:14 2018 reduce to 168180877 relations and 149431703 ideals in 8 passes
  637. Tue Nov 27 18:08:14 2018 max relations containing the same ideal: 185
  638. Tue Nov 27 18:09:25 2018 removing 9205816 relations and 7205816 ideals in 2000000 cliques
  639. Tue Nov 27 18:09:29 2018 commencing in-memory singleton removal
  640. Tue Nov 27 18:09:39 2018 begin with 158975061 relations and 149431703 unique ideals
  641. Tue Nov 27 18:11:05 2018 reduce to 158592350 relations and 141839097 ideals in 7 passes
  642. Tue Nov 27 18:11:05 2018 max relations containing the same ideal: 179
  643. Tue Nov 27 18:12:12 2018 removing 8796907 relations and 6796907 ideals in 2000000 cliques
  644. Tue Nov 27 18:12:16 2018 commencing in-memory singleton removal
  645. Tue Nov 27 18:12:26 2018 begin with 149795443 relations and 141839097 unique ideals
  646. Tue Nov 27 18:13:46 2018 reduce to 149429311 relations and 134671853 ideals in 7 passes
  647. Tue Nov 27 18:13:46 2018 max relations containing the same ideal: 174
  648. Tue Nov 27 18:14:49 2018 removing 8509962 relations and 6509962 ideals in 2000000 cliques
  649. Tue Nov 27 18:14:53 2018 commencing in-memory singleton removal
  650. Tue Nov 27 18:15:02 2018 begin with 140919349 relations and 134671853 unique ideals
  651. Tue Nov 27 18:16:28 2018 reduce to 140554781 relations and 127793075 ideals in 8 passes
  652. Tue Nov 27 18:16:28 2018 max relations containing the same ideal: 167
  653. Tue Nov 27 18:17:29 2018 removing 8302866 relations and 6302866 ideals in 2000000 cliques
  654. Tue Nov 27 18:17:32 2018 commencing in-memory singleton removal
  655. Tue Nov 27 18:17:41 2018 begin with 132251915 relations and 127793075 unique ideals
  656. Tue Nov 27 18:18:52 2018 reduce to 131888117 relations and 121121966 ideals in 7 passes
  657. Tue Nov 27 18:18:52 2018 max relations containing the same ideal: 161
  658. Tue Nov 27 18:19:49 2018 removing 8152743 relations and 6152743 ideals in 2000000 cliques
  659. Tue Nov 27 18:19:52 2018 commencing in-memory singleton removal
  660. Tue Nov 27 18:20:00 2018 begin with 123735374 relations and 121121966 unique ideals
  661. Tue Nov 27 18:21:15 2018 reduce to 123363683 relations and 114592730 ideals in 8 passes
  662. Tue Nov 27 18:21:15 2018 max relations containing the same ideal: 153
  663. Tue Nov 27 18:22:08 2018 removing 8044064 relations and 6044064 ideals in 2000000 cliques
  664. Tue Nov 27 18:22:12 2018 commencing in-memory singleton removal
  665. Tue Nov 27 18:22:19 2018 begin with 115319619 relations and 114592730 unique ideals
  666. Tue Nov 27 18:23:21 2018 reduce to 114934354 relations and 108158044 ideals in 7 passes
  667. Tue Nov 27 18:23:21 2018 max relations containing the same ideal: 149
  668. Tue Nov 27 18:24:11 2018 removing 7966412 relations and 5966412 ideals in 2000000 cliques
  669. Tue Nov 27 18:24:14 2018 commencing in-memory singleton removal
  670. Tue Nov 27 18:24:21 2018 begin with 106967942 relations and 108158044 unique ideals
  671. Tue Nov 27 18:25:34 2018 reduce to 106563086 relations and 101780873 ideals in 9 passes
  672. Tue Nov 27 18:25:34 2018 max relations containing the same ideal: 140
  673. Tue Nov 27 18:26:20 2018 removing 7918787 relations and 5918787 ideals in 2000000 cliques
  674. Tue Nov 27 18:26:24 2018 commencing in-memory singleton removal
  675. Tue Nov 27 18:26:30 2018 begin with 98644299 relations and 101780873 unique ideals
  676. Tue Nov 27 18:27:22 2018 reduce to 98210446 relations and 95421481 ideals in 7 passes
  677. Tue Nov 27 18:27:22 2018 max relations containing the same ideal: 130
  678. Tue Nov 27 18:28:06 2018 removing 6377532 relations and 4836476 ideals in 1541056 cliques
  679. Tue Nov 27 18:28:09 2018 commencing in-memory singleton removal
  680. Tue Nov 27 18:28:14 2018 begin with 91832914 relations and 95421481 unique ideals
  681. Tue Nov 27 18:29:10 2018 reduce to 91530798 relations and 90278621 ideals in 8 passes
  682. Tue Nov 27 18:29:10 2018 max relations containing the same ideal: 126
  683. Tue Nov 27 18:30:07 2018 relations with 0 large ideals: 40896
  684. Tue Nov 27 18:30:07 2018 relations with 1 large ideals: 9120
  685. Tue Nov 27 18:30:07 2018 relations with 2 large ideals: 117134
  686. Tue Nov 27 18:30:07 2018 relations with 3 large ideals: 953097
  687. Tue Nov 27 18:30:07 2018 relations with 4 large ideals: 4309780
  688. Tue Nov 27 18:30:07 2018 relations with 5 large ideals: 11880685
  689. Tue Nov 27 18:30:07 2018 relations with 6 large ideals: 20912333
  690. Tue Nov 27 18:30:07 2018 relations with 7+ large ideals: 53307753
  691. Tue Nov 27 18:30:07 2018 commencing 2-way merge
  692. Tue Nov 27 18:30:58 2018 reduce to 60073956 relation sets and 58821779 unique ideals
  693. Tue Nov 27 18:30:58 2018 commencing full merge
  694. Tue Nov 27 19:18:10 2018 memory use: 2713.7 MB
  695. Tue Nov 27 19:18:10 2018 found 142913 cycles, need 12472483
  696. Tue Nov 27 19:18:10 2018 too few cycles, matrix probably cannot build
  697. Tue Nov 27 19:18:11 2018
  698. Tue Nov 27 19:18:11 2018
  699. Tue Nov 27 19:18:11 2018 Msieve v. 1.53 (SVN 993)
  700. Tue Nov 27 19:18:11 2018 random seeds: c9370051 efcd48cf
  701. Tue Nov 27 19:18:11 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  702. Tue Nov 27 19:18:12 2018 no P-1/P+1/ECM available, skipping
  703. Tue Nov 27 19:18:12 2018 commencing number field sieve (221-digit input)
  704. Tue Nov 27 19:18:12 2018 R0: 19556458777555465647188627051954842734952448
  705. Tue Nov 27 19:18:12 2018 R1: -47477585226700098686074966922953
  706. Tue Nov 27 19:18:12 2018 A0: 5329
  707. Tue Nov 27 19:18:12 2018 A1: 0
  708. Tue Nov 27 19:18:12 2018 A2: 0
  709. Tue Nov 27 19:18:12 2018 A3: 0
  710. Tue Nov 27 19:18:12 2018 A4: 0
  711. Tue Nov 27 19:18:12 2018 A5: 0
  712. Tue Nov 27 19:18:12 2018 A6: 2704
  713. Tue Nov 27 19:18:12 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  714. Tue Nov 27 19:18:12 2018
  715. Tue Nov 27 19:18:12 2018 commencing relation filtering
  716. Tue Nov 27 19:18:12 2018 setting target matrix density to 122.0
  717. Tue Nov 27 19:18:12 2018 estimated available RAM is 95327.6 MB
  718. Tue Nov 27 19:18:12 2018 commencing duplicate removal, pass 1
  719. 240 errors
  720. Tue Nov 27 20:22:49 2018 skipped 170 relations with composite factors
  721. Tue Nov 27 20:22:49 2018 found 99019797 hash collisions in 438239441 relations
  722. Tue Nov 27 20:23:02 2018 commencing duplicate removal, pass 2
  723. Tue Nov 27 20:26:16 2018 found 93523760 duplicates and 344715681 unique relations
  724. Tue Nov 27 20:26:16 2018 memory use: 2387.0 MB
  725. Tue Nov 27 20:26:16 2018 reading ideals above 379912192
  726. Tue Nov 27 20:26:16 2018 commencing singleton removal, initial pass
  727. Tue Nov 27 21:00:14 2018 memory use: 6024.0 MB
  728. Tue Nov 27 21:00:14 2018 reading all ideals from disk
  729. Tue Nov 27 21:00:16 2018 memory use: 5717.3 MB
  730. Tue Nov 27 21:00:25 2018 commencing in-memory singleton removal
  731. Tue Nov 27 21:00:34 2018 begin with 344715681 relations and 296181078 unique ideals
  732. Tue Nov 27 21:02:29 2018 reduce to 205368114 relations and 141073824 ideals in 16 passes
  733. Tue Nov 27 21:02:29 2018 max relations containing the same ideal: 27
  734. Tue Nov 27 21:02:37 2018 reading ideals above 720000
  735. Tue Nov 27 21:02:38 2018 commencing singleton removal, initial pass
  736. Tue Nov 27 21:30:24 2018 memory use: 5512.0 MB
  737. Tue Nov 27 21:30:24 2018 reading all ideals from disk
  738. Tue Nov 27 21:30:32 2018 memory use: 8801.8 MB
  739. Tue Nov 27 21:30:56 2018 keeping 180638278 ideals with weight <= 200, target excess is 1075783
  740. Tue Nov 27 21:31:22 2018 commencing in-memory singleton removal
  741. Tue Nov 27 21:31:41 2018 begin with 205368114 relations and 180638278 unique ideals
  742. Tue Nov 27 21:34:55 2018 reduce to 205327406 relations and 180597568 ideals in 10 passes
  743. Tue Nov 27 21:34:55 2018 max relations containing the same ideal: 200
  744. Tue Nov 27 21:36:41 2018 removing 14680371 relations and 12680371 ideals in 2000000 cliques
  745. Tue Nov 27 21:36:46 2018 commencing in-memory singleton removal
  746. Tue Nov 27 21:37:00 2018 begin with 190647035 relations and 180597568 unique ideals
  747. Tue Nov 27 21:39:14 2018 reduce to 189889966 relations and 167150491 ideals in 9 passes
  748. Tue Nov 27 21:39:14 2018 max relations containing the same ideal: 197
  749. Tue Nov 27 21:40:37 2018 removing 10986953 relations and 8986953 ideals in 2000000 cliques
  750. Tue Nov 27 21:40:42 2018 commencing in-memory singleton removal
  751. Tue Nov 27 21:40:54 2018 begin with 178903013 relations and 167150491 unique ideals
  752. Tue Nov 27 21:42:56 2018 reduce to 178424338 relations and 157679642 ideals in 9 passes
  753. Tue Nov 27 21:42:56 2018 max relations containing the same ideal: 191
  754. Tue Nov 27 21:44:12 2018 removing 9832863 relations and 7832863 ideals in 2000000 cliques
  755. Tue Nov 27 21:44:17 2018 commencing in-memory singleton removal
  756. Tue Nov 27 21:44:27 2018 begin with 168591475 relations and 157679642 unique ideals
  757. Tue Nov 27 21:46:10 2018 reduce to 168180877 relations and 149431703 ideals in 8 passes
  758. Tue Nov 27 21:46:10 2018 max relations containing the same ideal: 185
  759. Tue Nov 27 21:47:21 2018 removing 9205816 relations and 7205816 ideals in 2000000 cliques
  760. Tue Nov 27 21:47:25 2018 commencing in-memory singleton removal
  761. Tue Nov 27 21:47:36 2018 begin with 158975061 relations and 149431703 unique ideals
  762. Tue Nov 27 21:49:00 2018 reduce to 158592350 relations and 141839097 ideals in 7 passes
  763. Tue Nov 27 21:49:00 2018 max relations containing the same ideal: 179
  764. Tue Nov 27 21:50:07 2018 removing 8796907 relations and 6796907 ideals in 2000000 cliques
  765. Tue Nov 27 21:50:11 2018 commencing in-memory singleton removal
  766. Tue Nov 27 21:50:21 2018 begin with 149795443 relations and 141839097 unique ideals
  767. Tue Nov 27 21:51:40 2018 reduce to 149429311 relations and 134671853 ideals in 7 passes
  768. Tue Nov 27 21:51:40 2018 max relations containing the same ideal: 174
  769. Tue Nov 27 21:52:43 2018 removing 8509962 relations and 6509962 ideals in 2000000 cliques
  770. Tue Nov 27 21:52:47 2018 commencing in-memory singleton removal
  771. Tue Nov 27 21:52:56 2018 begin with 140919349 relations and 134671853 unique ideals
  772. Tue Nov 27 21:54:22 2018 reduce to 140554781 relations and 127793075 ideals in 8 passes
  773. Tue Nov 27 21:54:22 2018 max relations containing the same ideal: 167
  774. Tue Nov 27 21:55:22 2018 removing 8302866 relations and 6302866 ideals in 2000000 cliques
  775. Tue Nov 27 21:55:25 2018 commencing in-memory singleton removal
  776. Tue Nov 27 21:55:34 2018 begin with 132251915 relations and 127793075 unique ideals
  777. Tue Nov 27 21:56:44 2018 reduce to 131888117 relations and 121121966 ideals in 7 passes
  778. Tue Nov 27 21:56:44 2018 max relations containing the same ideal: 161
  779. Tue Nov 27 21:57:40 2018 removing 8152743 relations and 6152743 ideals in 2000000 cliques
  780. Tue Nov 27 21:57:44 2018 commencing in-memory singleton removal
  781. Tue Nov 27 21:57:52 2018 begin with 123735374 relations and 121121966 unique ideals
  782. Tue Nov 27 21:59:06 2018 reduce to 123363683 relations and 114592730 ideals in 8 passes
  783. Tue Nov 27 21:59:06 2018 max relations containing the same ideal: 153
  784. Tue Nov 27 21:59:59 2018 removing 8044064 relations and 6044064 ideals in 2000000 cliques
  785. Tue Nov 27 22:00:02 2018 commencing in-memory singleton removal
  786. Tue Nov 27 22:00:10 2018 begin with 115319619 relations and 114592730 unique ideals
  787. Tue Nov 27 22:01:11 2018 reduce to 114934354 relations and 108158044 ideals in 7 passes
  788. Tue Nov 27 22:01:11 2018 max relations containing the same ideal: 149
  789. Tue Nov 27 22:02:00 2018 removing 7966412 relations and 5966412 ideals in 2000000 cliques
  790. Tue Nov 27 22:02:03 2018 commencing in-memory singleton removal
  791. Tue Nov 27 22:02:10 2018 begin with 106967942 relations and 108158044 unique ideals
  792. Tue Nov 27 22:03:22 2018 reduce to 106563086 relations and 101780873 ideals in 9 passes
  793. Tue Nov 27 22:03:22 2018 max relations containing the same ideal: 140
  794. Tue Nov 27 22:04:08 2018 removing 7918787 relations and 5918787 ideals in 2000000 cliques
  795. Tue Nov 27 22:04:12 2018 commencing in-memory singleton removal
  796. Tue Nov 27 22:04:18 2018 begin with 98644299 relations and 101780873 unique ideals
  797. Tue Nov 27 22:05:10 2018 reduce to 98210446 relations and 95421481 ideals in 7 passes
  798. Tue Nov 27 22:05:10 2018 max relations containing the same ideal: 130
  799. Tue Nov 27 22:05:53 2018 removing 6377532 relations and 4836476 ideals in 1541056 cliques
  800. Tue Nov 27 22:05:56 2018 commencing in-memory singleton removal
  801. Tue Nov 27 22:06:01 2018 begin with 91832914 relations and 95421481 unique ideals
  802. Tue Nov 27 22:06:56 2018 reduce to 91530798 relations and 90278621 ideals in 8 passes
  803. Tue Nov 27 22:06:56 2018 max relations containing the same ideal: 126
  804. Tue Nov 27 22:07:52 2018 relations with 0 large ideals: 40896
  805. Tue Nov 27 22:07:52 2018 relations with 1 large ideals: 9120
  806. Tue Nov 27 22:07:52 2018 relations with 2 large ideals: 117134
  807. Tue Nov 27 22:07:52 2018 relations with 3 large ideals: 953097
  808. Tue Nov 27 22:07:52 2018 relations with 4 large ideals: 4309780
  809. Tue Nov 27 22:07:52 2018 relations with 5 large ideals: 11880685
  810. Tue Nov 27 22:07:52 2018 relations with 6 large ideals: 20912333
  811. Tue Nov 27 22:07:52 2018 relations with 7+ large ideals: 53307753
  812. Tue Nov 27 22:07:52 2018 commencing 2-way merge
  813. Tue Nov 27 22:08:44 2018 reduce to 60073956 relation sets and 58821779 unique ideals
  814. Tue Nov 27 22:08:44 2018 commencing full merge
  815. Tue Nov 27 22:32:09 2018 memory use: 7859.7 MB
  816. Tue Nov 27 22:32:15 2018 found 27172923 cycles, need 27163979
  817. Tue Nov 27 22:32:26 2018 weight of 27163979 cycles is about 3314073281 (122.00/cycle)
  818. Tue Nov 27 22:32:26 2018 distribution of cycle lengths:
  819. Tue Nov 27 22:32:26 2018 1 relations: 1407255
  820. Tue Nov 27 22:32:26 2018 2 relations: 1813917
  821. Tue Nov 27 22:32:26 2018 3 relations: 2040473
  822. Tue Nov 27 22:32:26 2018 4 relations: 2050782
  823. Tue Nov 27 22:32:26 2018 5 relations: 2049985
  824. Tue Nov 27 22:32:26 2018 6 relations: 1977174
  825. Tue Nov 27 22:32:26 2018 7 relations: 1898815
  826. Tue Nov 27 22:32:26 2018 8 relations: 1792768
  827. Tue Nov 27 22:32:26 2018 9 relations: 1679376
  828. Tue Nov 27 22:32:26 2018 10+ relations: 10453434
  829. Tue Nov 27 22:32:26 2018 heaviest cycle: 28 relations
  830. Tue Nov 27 22:32:34 2018 commencing cycle optimization
  831. Tue Nov 27 22:33:28 2018 start with 235610297 relations
  832. Tue Nov 27 22:42:40 2018 pruned 10271336 relations
  833. Tue Nov 27 22:42:41 2018 memory use: 6235.1 MB
  834. Tue Nov 27 22:42:41 2018 distribution of cycle lengths:
  835. Tue Nov 27 22:42:41 2018 1 relations: 1407255
  836. Tue Nov 27 22:42:41 2018 2 relations: 1858862
  837. Tue Nov 27 22:42:41 2018 3 relations: 2127922
  838. Tue Nov 27 22:42:41 2018 4 relations: 2134828
  839. Tue Nov 27 22:42:41 2018 5 relations: 2148510
  840. Tue Nov 27 22:42:41 2018 6 relations: 2064495
  841. Tue Nov 27 22:42:41 2018 7 relations: 1985656
  842. Tue Nov 27 22:42:41 2018 8 relations: 1864169
  843. Tue Nov 27 22:42:41 2018 9 relations: 1742640
  844. Tue Nov 27 22:42:41 2018 10+ relations: 9829642
  845. Tue Nov 27 22:42:41 2018 heaviest cycle: 28 relations
  846. Tue Nov 27 22:43:51 2018 RelProcTime: 12339
  847. Tue Nov 27 22:43:57 2018 elapsed time 03:25:46
  848. Tue Nov 27 22:43:58 2018
  849. Tue Nov 27 22:43:58 2018
  850. Tue Nov 27 22:43:58 2018 Msieve v. 1.53 (SVN 993)
  851. Tue Nov 27 22:43:58 2018 random seeds: af38b01f d8829540
  852. Tue Nov 27 22:43:58 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  853. Tue Nov 27 22:43:59 2018 no P-1/P+1/ECM available, skipping
  854. Tue Nov 27 22:43:59 2018 commencing number field sieve (221-digit input)
  855. Tue Nov 27 22:43:59 2018 R0: 19556458777555465647188627051954842734952448
  856. Tue Nov 27 22:43:59 2018 R1: -47477585226700098686074966922953
  857. Tue Nov 27 22:43:59 2018 A0: 5329
  858. Tue Nov 27 22:43:59 2018 A1: 0
  859. Tue Nov 27 22:43:59 2018 A2: 0
  860. Tue Nov 27 22:43:59 2018 A3: 0
  861. Tue Nov 27 22:43:59 2018 A4: 0
  862. Tue Nov 27 22:43:59 2018 A5: 0
  863. Tue Nov 27 22:43:59 2018 A6: 2704
  864. Tue Nov 27 22:43:59 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  865. Tue Nov 27 22:43:59 2018
  866. Tue Nov 27 22:43:59 2018 commencing relation filtering
  867. Tue Nov 27 22:43:59 2018 setting target matrix density to 124.0
  868. Tue Nov 27 22:43:59 2018 estimated available RAM is 95327.6 MB
  869. Tue Nov 27 22:43:59 2018 commencing duplicate removal, pass 1
  870. 240 errors
  871. Tue Nov 27 23:48:35 2018 skipped 170 relations with composite factors
  872. Tue Nov 27 23:48:35 2018 found 99019797 hash collisions in 438239441 relations
  873. Tue Nov 27 23:48:48 2018 commencing duplicate removal, pass 2
  874. Tue Nov 27 23:52:02 2018 found 93523760 duplicates and 344715681 unique relations
  875. Tue Nov 27 23:52:02 2018 memory use: 2387.0 MB
  876. Tue Nov 27 23:52:03 2018 reading ideals above 379912192
  877. Tue Nov 27 23:52:03 2018 commencing singleton removal, initial pass
  878. Wed Nov 28 00:26:19 2018 memory use: 6024.0 MB
  879. Wed Nov 28 00:26:19 2018 reading all ideals from disk
  880. Wed Nov 28 00:26:22 2018 memory use: 5717.3 MB
  881. Wed Nov 28 00:26:31 2018 commencing in-memory singleton removal
  882. Wed Nov 28 00:26:40 2018 begin with 344715681 relations and 296181078 unique ideals
  883. Wed Nov 28 00:28:37 2018 reduce to 205368114 relations and 141073824 ideals in 16 passes
  884. Wed Nov 28 00:28:37 2018 max relations containing the same ideal: 27
  885. Wed Nov 28 00:28:45 2018 reading ideals above 720000
  886. Wed Nov 28 00:28:46 2018 commencing singleton removal, initial pass
  887. Wed Nov 28 00:56:35 2018 memory use: 5512.0 MB
  888. Wed Nov 28 00:56:36 2018 reading all ideals from disk
  889. Wed Nov 28 00:56:42 2018 memory use: 8801.8 MB
  890. Wed Nov 28 00:57:07 2018 keeping 180638278 ideals with weight <= 200, target excess is 1075783
  891. Wed Nov 28 00:57:35 2018 commencing in-memory singleton removal
  892. Wed Nov 28 00:57:53 2018 begin with 205368114 relations and 180638278 unique ideals
  893. Wed Nov 28 01:00:57 2018 reduce to 205327406 relations and 180597568 ideals in 10 passes
  894. Wed Nov 28 01:00:57 2018 max relations containing the same ideal: 200
  895. Wed Nov 28 01:02:34 2018 removing 14680371 relations and 12680371 ideals in 2000000 cliques
  896. Wed Nov 28 01:02:40 2018 commencing in-memory singleton removal
  897. Wed Nov 28 01:02:54 2018 begin with 190647035 relations and 180597568 unique ideals
  898. Wed Nov 28 01:05:13 2018 reduce to 189889966 relations and 167150491 ideals in 9 passes
  899. Wed Nov 28 01:05:13 2018 max relations containing the same ideal: 197
  900. Wed Nov 28 01:06:39 2018 removing 10986953 relations and 8986953 ideals in 2000000 cliques
  901. Wed Nov 28 01:06:44 2018 commencing in-memory singleton removal
  902. Wed Nov 28 01:06:56 2018 begin with 178903013 relations and 167150491 unique ideals
  903. Wed Nov 28 01:08:59 2018 reduce to 178424338 relations and 157679642 ideals in 9 passes
  904. Wed Nov 28 01:08:59 2018 max relations containing the same ideal: 191
  905. Wed Nov 28 01:10:17 2018 removing 9832863 relations and 7832863 ideals in 2000000 cliques
  906. Wed Nov 28 01:10:21 2018 commencing in-memory singleton removal
  907. Wed Nov 28 01:10:32 2018 begin with 168591475 relations and 157679642 unique ideals
  908. Wed Nov 28 01:12:19 2018 reduce to 168180877 relations and 149431703 ideals in 8 passes
  909. Wed Nov 28 01:12:19 2018 max relations containing the same ideal: 185
  910. Wed Nov 28 01:13:32 2018 removing 9205816 relations and 7205816 ideals in 2000000 cliques
  911. Wed Nov 28 01:13:37 2018 commencing in-memory singleton removal
  912. Wed Nov 28 01:13:47 2018 begin with 158975061 relations and 149431703 unique ideals
  913. Wed Nov 28 01:15:12 2018 reduce to 158592350 relations and 141839097 ideals in 7 passes
  914. Wed Nov 28 01:15:12 2018 max relations containing the same ideal: 179
  915. Wed Nov 28 01:16:19 2018 removing 8796907 relations and 6796907 ideals in 2000000 cliques
  916. Wed Nov 28 01:16:24 2018 commencing in-memory singleton removal
  917. Wed Nov 28 01:16:33 2018 begin with 149795443 relations and 141839097 unique ideals
  918. Wed Nov 28 01:17:54 2018 reduce to 149429311 relations and 134671853 ideals in 7 passes
  919. Wed Nov 28 01:17:54 2018 max relations containing the same ideal: 174
  920. Wed Nov 28 01:18:57 2018 removing 8509962 relations and 6509962 ideals in 2000000 cliques
  921. Wed Nov 28 01:19:02 2018 commencing in-memory singleton removal
  922. Wed Nov 28 01:19:11 2018 begin with 140919349 relations and 134671853 unique ideals
  923. Wed Nov 28 01:20:37 2018 reduce to 140554781 relations and 127793075 ideals in 8 passes
  924. Wed Nov 28 01:20:37 2018 max relations containing the same ideal: 167
  925. Wed Nov 28 01:21:37 2018 removing 8302866 relations and 6302866 ideals in 2000000 cliques
  926. Wed Nov 28 01:21:41 2018 commencing in-memory singleton removal
  927. Wed Nov 28 01:21:50 2018 begin with 132251915 relations and 127793075 unique ideals
  928. Wed Nov 28 01:23:00 2018 reduce to 131888117 relations and 121121966 ideals in 7 passes
  929. Wed Nov 28 01:23:00 2018 max relations containing the same ideal: 161
  930. Wed Nov 28 01:23:59 2018 removing 8152743 relations and 6152743 ideals in 2000000 cliques
  931. Wed Nov 28 01:24:03 2018 commencing in-memory singleton removal
  932. Wed Nov 28 01:24:10 2018 begin with 123735374 relations and 121121966 unique ideals
  933. Wed Nov 28 01:25:26 2018 reduce to 123363683 relations and 114592730 ideals in 8 passes
  934. Wed Nov 28 01:25:26 2018 max relations containing the same ideal: 153
  935. Wed Nov 28 01:26:19 2018 removing 8044064 relations and 6044064 ideals in 2000000 cliques
  936. Wed Nov 28 01:26:23 2018 commencing in-memory singleton removal
  937. Wed Nov 28 01:26:30 2018 begin with 115319619 relations and 114592730 unique ideals
  938. Wed Nov 28 01:27:32 2018 reduce to 114934354 relations and 108158044 ideals in 7 passes
  939. Wed Nov 28 01:27:32 2018 max relations containing the same ideal: 149
  940. Wed Nov 28 01:28:21 2018 removing 7966412 relations and 5966412 ideals in 2000000 cliques
  941. Wed Nov 28 01:28:25 2018 commencing in-memory singleton removal
  942. Wed Nov 28 01:28:32 2018 begin with 106967942 relations and 108158044 unique ideals
  943. Wed Nov 28 01:29:45 2018 reduce to 106563086 relations and 101780873 ideals in 9 passes
  944. Wed Nov 28 01:29:45 2018 max relations containing the same ideal: 140
  945. Wed Nov 28 01:30:31 2018 removing 7918787 relations and 5918787 ideals in 2000000 cliques
  946. Wed Nov 28 01:30:35 2018 commencing in-memory singleton removal
  947. Wed Nov 28 01:30:41 2018 begin with 98644299 relations and 101780873 unique ideals
  948. Wed Nov 28 01:31:33 2018 reduce to 98210446 relations and 95421481 ideals in 7 passes
  949. Wed Nov 28 01:31:33 2018 max relations containing the same ideal: 130
  950. Wed Nov 28 01:32:17 2018 removing 6377532 relations and 4836476 ideals in 1541056 cliques
  951. Wed Nov 28 01:32:20 2018 commencing in-memory singleton removal
  952. Wed Nov 28 01:32:26 2018 begin with 91832914 relations and 95421481 unique ideals
  953. Wed Nov 28 01:33:21 2018 reduce to 91530798 relations and 90278621 ideals in 8 passes
  954. Wed Nov 28 01:33:21 2018 max relations containing the same ideal: 126
  955. Wed Nov 28 01:34:19 2018 relations with 0 large ideals: 40896
  956. Wed Nov 28 01:34:19 2018 relations with 1 large ideals: 9120
  957. Wed Nov 28 01:34:19 2018 relations with 2 large ideals: 117134
  958. Wed Nov 28 01:34:19 2018 relations with 3 large ideals: 953097
  959. Wed Nov 28 01:34:19 2018 relations with 4 large ideals: 4309780
  960. Wed Nov 28 01:34:19 2018 relations with 5 large ideals: 11880685
  961. Wed Nov 28 01:34:19 2018 relations with 6 large ideals: 20912333
  962. Wed Nov 28 01:34:19 2018 relations with 7+ large ideals: 53307753
  963. Wed Nov 28 01:34:19 2018 commencing 2-way merge
  964. Wed Nov 28 01:35:11 2018 reduce to 60073956 relation sets and 58821779 unique ideals
  965. Wed Nov 28 01:35:11 2018 commencing full merge
  966. Wed Nov 28 02:21:47 2018 memory use: 2713.7 MB
  967. Wed Nov 28 02:21:48 2018 found 142913 cycles, need 12472483
  968. Wed Nov 28 02:21:48 2018 too few cycles, matrix probably cannot build
  969. Wed Nov 28 10:17:46 2018
  970. Wed Nov 28 10:17:46 2018
  971. Wed Nov 28 10:17:46 2018 Msieve v. 1.54 (SVN 1022M)
  972. Wed Nov 28 10:17:46 2018 random seeds: 3468be1d 5374f932
  973. Wed Nov 28 10:17:46 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  974. Wed Nov 28 10:17:47 2018 no P-1/P+1/ECM available, skipping
  975. Wed Nov 28 10:17:47 2018 commencing number field sieve (221-digit input)
  976. Wed Nov 28 10:17:47 2018 R0: 19556458777555465647188627051954842734952448
  977. Wed Nov 28 10:17:47 2018 R1: -47477585226700098686074966922953
  978. Wed Nov 28 10:17:47 2018 A0: 5329
  979. Wed Nov 28 10:17:47 2018 A1: 0
  980. Wed Nov 28 10:17:47 2018 A2: 0
  981. Wed Nov 28 10:17:47 2018 A3: 0
  982. Wed Nov 28 10:17:47 2018 A4: 0
  983. Wed Nov 28 10:17:47 2018 A5: 0
  984. Wed Nov 28 10:17:47 2018 A6: 2704
  985. Wed Nov 28 10:17:47 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  986. Wed Nov 28 10:17:47 2018
  987. Wed Nov 28 10:17:47 2018 commencing linear algebra
  988. Wed Nov 28 10:17:49 2018 read 27163979 cycles
  989. Wed Nov 28 10:18:37 2018 cycles contain 90781823 unique relations
  990. Wed Nov 28 10:26:46 2018 read 90781823 relations
  991. Wed Nov 28 10:29:32 2018 using 20 quadratic characters above 4294917295
  992. Wed Nov 28 10:37:30 2018 building initial matrix
  993. Wed Nov 28 11:01:07 2018 memory use: 11545.6 MB
  994. Wed Nov 28 11:01:22 2018 read 27163979 cycles
  995. Wed Nov 28 11:01:26 2018 matrix is 27163802 x 27163979 (12879.4 MB) with weight 3650770705 (134.40/col)
  996. Wed Nov 28 11:01:26 2018 sparse part has weight 3104617278 (114.29/col)
  997. Wed Nov 28 11:08:55 2018 filtering completed in 2 passes
  998. Wed Nov 28 11:09:00 2018 matrix is 27163674 x 27163845 (12879.4 MB) with weight 3650767015 (134.40/col)
  999. Wed Nov 28 11:09:00 2018 sparse part has weight 3104616344 (114.29/col)
  1000. Wed Nov 28 11:10:30 2018 matrix starts at (0, 0)
  1001. Wed Nov 28 11:10:33 2018 matrix is 27163674 x 27163845 (12879.4 MB) with weight 3650767015 (134.40/col)
  1002. Wed Nov 28 11:10:33 2018 sparse part has weight 3104616344 (114.29/col)
  1003. Wed Nov 28 11:10:33 2018 saving the first 240 matrix rows for later
  1004. Wed Nov 28 11:10:41 2018 matrix includes 256 packed rows
  1005. Wed Nov 28 11:10:50 2018 matrix is 27163434 x 27163845 (12044.9 MB) with weight 2852890282 (105.03/col)
  1006. Wed Nov 28 11:10:50 2018 sparse part has weight 2722877562 (100.24/col)
  1007. Wed Nov 28 11:10:50 2018 using block size 8192 and superblock size 337920 for processor cache size 14080 kB
  1008. Wed Nov 28 11:12:22 2018 commencing Lanczos iteration (10 threads)
  1009. Wed Nov 28 11:12:23 2018 memory use: 16562.2 MB
  1010. Wed Nov 28 11:13:22 2018 linear algebra at 0.0%, ETA 192h 4m
  1011. Wed Nov 28 11:13:36 2018 checkpointing every 140000 dimensions
  1012. Wed Dec 5 02:26:44 2018 lanczos halted after 106426 iterations (dim = 27163430)
  1013. Wed Dec 5 02:28:46 2018 recovered 41 nontrivial dependencies
  1014. Wed Dec 5 02:28:48 2018 BLanczosTime: 576661
  1015. Wed Dec 5 02:28:48 2018 elapsed time 160:11:02
  1016. Wed Dec 5 02:28:48 2018
  1017. Wed Dec 5 02:28:48 2018
  1018. Wed Dec 5 02:28:48 2018 Msieve v. 1.53 (SVN 993)
  1019. Wed Dec 5 02:28:48 2018 random seeds: ec32344c 09c440f3
  1020. Wed Dec 5 02:28:48 2018 factoring 51674372802734023777246227888858591664008875485621026481761192335999307108263739567129251965566849275656343448040815912809819498804859666981043011676882235337059001452792778135288054573133014445995129483458549770953218557 (221 digits)
  1021. Wed Dec 5 02:28:49 2018 no P-1/P+1/ECM available, skipping
  1022. Wed Dec 5 02:28:49 2018 commencing number field sieve (221-digit input)
  1023. Wed Dec 5 02:28:49 2018 R0: 19556458777555465647188627051954842734952448
  1024. Wed Dec 5 02:28:49 2018 R1: -47477585226700098686074966922953
  1025. Wed Dec 5 02:28:49 2018 A0: 5329
  1026. Wed Dec 5 02:28:49 2018 A1: 0
  1027. Wed Dec 5 02:28:49 2018 A2: 0
  1028. Wed Dec 5 02:28:49 2018 A3: 0
  1029. Wed Dec 5 02:28:49 2018 A4: 0
  1030. Wed Dec 5 02:28:49 2018 A5: 0
  1031. Wed Dec 5 02:28:49 2018 A6: 2704
  1032. Wed Dec 5 02:28:49 2018 skew 1.12, size 1.101e-13, alpha 1.389, combined = 2.428e-14 rroots = 0
  1033. Wed Dec 5 02:28:49 2018
  1034. Wed Dec 5 02:28:49 2018 commencing square root phase
  1035. Wed Dec 5 02:28:49 2018 reading relations for dependency 1
  1036. Wed Dec 5 02:28:52 2018 read 13586204 cycles
  1037. Wed Dec 5 02:29:17 2018 cycles contain 45394462 unique relations
  1038. Wed Dec 5 02:33:47 2018 read 45394462 relations
  1039. Wed Dec 5 02:37:41 2018 multiplying 45394462 relations
  1040. Wed Dec 5 03:33:35 2018 multiply complete, coefficients have about 1728.39 million bits
  1041. Wed Dec 5 03:33:40 2018 initial square root is modulo 56636743
  1042. Wed Dec 5 04:31:26 2018 sqrtTime: 7357
  1043. Wed Dec 5 04:31:26 2018 p70 factor: 6886194872300462972392181293410459389994844876008421665429327539383477
  1044. Wed Dec 5 04:31:26 2018 p151 factor: 7504053219666034110147711360783094544556626475493127921085388769452583843388250894229728539208284254903778983491558475296970484163403346239940450848041
  1045. Wed Dec 5 04:31:26 2018 elapsed time 02:02:38
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