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C216_143_53

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Jul 31st, 2017
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  1. Fri Jul 21 14:51:40 2017 Msieve v. 1.53 (SVN unknown)
  2. Fri Jul 21 14:51:40 2017 random seeds: 5429777f 723634d5
  3. Fri Jul 21 14:51:40 2017 factoring 314653115809307951898713853390593679365304026849878683717647306448540598024840725423941604678327491979309970558045182675162419704208615919288865579283623418810465733214078622746767013840787080771222275807872799719543 (216 digits)
  4. Fri Jul 21 14:51:41 2017 searching for 15-digit factors
  5. Fri Jul 21 14:51:42 2017 commencing number field sieve (216-digit input)
  6. Fri Jul 21 14:51:42 2017 R0: 241335311011519234780052665404754645838881
  7. Fri Jul 21 14:51:42 2017 R1: -2273168619161481613
  8. Fri Jul 21 14:51:42 2017 A0: 8535703
  9. Fri Jul 21 14:51:42 2017 A1: 0
  10. Fri Jul 21 14:51:42 2017 A2: 0
  11. Fri Jul 21 14:51:42 2017 A3: 0
  12. Fri Jul 21 14:51:42 2017 A4: 0
  13. Fri Jul 21 14:51:42 2017 A5: 0
  14. Fri Jul 21 14:51:42 2017 A6: 13
  15. Fri Jul 21 14:51:42 2017 skew 9.32, size 6.352e-13, alpha -0.311, combined = 8.929e-14 rroots = 0
  16. Fri Jul 21 14:51:42 2017
  17. Fri Jul 21 14:51:42 2017 commencing relation filtering
  18. Fri Jul 21 14:51:42 2017 setting target matrix density to 132.0
  19. Fri Jul 21 14:51:42 2017 estimated available RAM is 16003.1 MB
  20. Fri Jul 21 14:51:42 2017 commencing duplicate removal, pass 1
  21. Fri Jul 21 15:24:49 2017 error -15 reading relation 276055113
  22. Fri Jul 21 15:36:09 2017 error -11 reading relation 370240644
  23. Fri Jul 21 15:36:39 2017 error -6 reading relation 374520499
  24. Fri Jul 21 15:37:42 2017 skipped 20 relations with b > 2^32
  25. Fri Jul 21 15:37:42 2017 found 30466157 hash collisions in 383235190 relations
  26. Fri Jul 21 15:37:56 2017 added 1219098 free relations
  27. Fri Jul 21 15:37:56 2017 commencing duplicate removal, pass 2
  28. Fri Jul 21 15:39:48 2017 found 0 duplicates and 384454288 unique relations
  29. Fri Jul 21 15:39:48 2017 memory use: 1321.5 MB
  30. Fri Jul 21 15:39:48 2017 reading ideals above 307953664
  31. Fri Jul 21 15:39:48 2017 commencing singleton removal, initial pass
  32. Fri Jul 21 16:14:18 2017 memory use: 6024.0 MB
  33. Fri Jul 21 16:14:18 2017 reading all ideals from disk
  34. Fri Jul 21 16:14:35 2017 memory use: 6377.5 MB
  35. Fri Jul 21 16:14:47 2017 commencing in-memory singleton removal
  36. Fri Jul 21 16:14:58 2017 begin with 384454288 relations and 305518116 unique ideals
  37. Fri Jul 21 16:17:20 2017 reduce to 254738981 relations and 162891831 ideals in 14 passes
  38. Fri Jul 21 16:17:20 2017 max relations containing the same ideal: 42
  39. Fri Jul 21 16:17:31 2017 reading ideals above 720000
  40. Fri Jul 21 16:17:31 2017 commencing singleton removal, initial pass
  41. Fri Jul 21 16:47:57 2017 memory use: 5512.0 MB
  42. Fri Jul 21 16:47:57 2017 reading large ideals from disk
  43. Fri Jul 21 16:49:37 2017 keeping 174943050 ideals with weight <= 20, target excess is 21263901
  44. Fri Jul 21 16:51:19 2017 memory use: 7128.7 MB
  45. Fri Jul 21 16:51:19 2017 commencing in-memory singleton removal
  46. Fri Jul 21 16:51:26 2017 begin with 254738981 relations and 174943050 unique ideals
  47. Fri Jul 21 16:52:40 2017 reduce to 254721884 relations and 174925953 ideals in 8 passes
  48. Fri Jul 21 16:52:40 2017 max relations containing the same ideal: 20
  49. Fri Jul 21 16:53:35 2017 removing 11665526 relations and 9665526 ideals in 2000000 cliques
  50. Fri Jul 21 16:53:39 2017 commencing in-memory singleton removal
  51. Fri Jul 21 16:53:46 2017 begin with 243056358 relations and 174925953 unique ideals
  52. Fri Jul 21 16:54:56 2017 reduce to 242607569 relations and 164806762 ideals in 8 passes
  53. Fri Jul 21 16:54:56 2017 max relations containing the same ideal: 20
  54. Fri Jul 21 16:55:48 2017 removing 8716947 relations and 6716947 ideals in 2000000 cliques
  55. Fri Jul 21 16:55:52 2017 commencing in-memory singleton removal
  56. Fri Jul 21 16:55:58 2017 begin with 233890622 relations and 164806762 unique ideals
  57. Fri Jul 21 16:56:56 2017 reduce to 233597313 relations and 157793807 ideals in 7 passes
  58. Fri Jul 21 16:56:56 2017 max relations containing the same ideal: 20
  59. Fri Jul 21 16:57:46 2017 removing 7838009 relations and 5838009 ideals in 2000000 cliques
  60. Fri Jul 21 16:57:50 2017 commencing in-memory singleton removal
  61. Fri Jul 21 16:57:56 2017 begin with 225759304 relations and 157793807 unique ideals
  62. Fri Jul 21 16:58:51 2017 reduce to 225506487 relations and 151700672 ideals in 7 passes
  63. Fri Jul 21 16:58:51 2017 max relations containing the same ideal: 20
  64. Fri Jul 21 16:59:39 2017 removing 7357508 relations and 5357508 ideals in 2000000 cliques
  65. Fri Jul 21 16:59:43 2017 commencing in-memory singleton removal
  66. Fri Jul 21 16:59:48 2017 begin with 218148979 relations and 151700672 unique ideals
  67. Fri Jul 21 17:00:41 2017 reduce to 217918922 relations and 146111053 ideals in 7 passes
  68. Fri Jul 21 17:00:41 2017 max relations containing the same ideal: 20
  69. Fri Jul 21 17:01:27 2017 removing 7048894 relations and 5048894 ideals in 2000000 cliques
  70. Fri Jul 21 17:01:31 2017 commencing in-memory singleton removal
  71. Fri Jul 21 17:01:36 2017 begin with 210870028 relations and 146111053 unique ideals
  72. Fri Jul 21 17:02:26 2017 reduce to 210649469 relations and 140839589 ideals in 7 passes
  73. Fri Jul 21 17:02:26 2017 max relations containing the same ideal: 20
  74. Fri Jul 21 17:03:11 2017 removing 6890368 relations and 4890368 ideals in 2000000 cliques
  75. Fri Jul 21 17:03:14 2017 commencing in-memory singleton removal
  76. Fri Jul 21 17:03:20 2017 begin with 203759101 relations and 140839589 unique ideals
  77. Fri Jul 21 17:04:07 2017 reduce to 203558619 relations and 135746894 ideals in 7 passes
  78. Fri Jul 21 17:04:07 2017 max relations containing the same ideal: 20
  79. Fri Jul 21 17:04:50 2017 removing 6656652 relations and 4656652 ideals in 2000000 cliques
  80. Fri Jul 21 17:04:53 2017 commencing in-memory singleton removal
  81. Fri Jul 21 17:04:58 2017 begin with 196901967 relations and 135746894 unique ideals
  82. Fri Jul 21 17:05:44 2017 reduce to 196697278 relations and 130883452 ideals in 7 passes
  83. Fri Jul 21 17:05:44 2017 max relations containing the same ideal: 20
  84. Fri Jul 21 17:06:25 2017 removing 6578407 relations and 4578407 ideals in 2000000 cliques
  85. Fri Jul 21 17:06:29 2017 commencing in-memory singleton removal
  86. Fri Jul 21 17:06:33 2017 begin with 190118871 relations and 130883452 unique ideals
  87. Fri Jul 21 17:07:16 2017 reduce to 189920300 relations and 126104448 ideals in 7 passes
  88. Fri Jul 21 17:07:16 2017 max relations containing the same ideal: 20
  89. Fri Jul 21 17:07:57 2017 removing 6447676 relations and 4447676 ideals in 2000000 cliques
  90. Fri Jul 21 17:08:00 2017 commencing in-memory singleton removal
  91. Fri Jul 21 17:08:04 2017 begin with 183472624 relations and 126104448 unique ideals
  92. Fri Jul 21 17:08:51 2017 reduce to 183274879 relations and 121456868 ideals in 8 passes
  93. Fri Jul 21 17:08:51 2017 max relations containing the same ideal: 20
  94. Fri Jul 21 17:09:30 2017 removing 6398876 relations and 4398876 ideals in 2000000 cliques
  95. Fri Jul 21 17:09:33 2017 commencing in-memory singleton removal
  96. Fri Jul 21 17:09:38 2017 begin with 176876003 relations and 121456868 unique ideals
  97. Fri Jul 21 17:10:17 2017 reduce to 176681885 relations and 116861678 ideals in 7 passes
  98. Fri Jul 21 17:10:17 2017 max relations containing the same ideal: 20
  99. Fri Jul 21 17:10:55 2017 removing 6277818 relations and 4277818 ideals in 2000000 cliques
  100. Fri Jul 21 17:10:58 2017 commencing in-memory singleton removal
  101. Fri Jul 21 17:11:02 2017 begin with 170404067 relations and 116861678 unique ideals
  102. Fri Jul 21 17:11:39 2017 reduce to 170207524 relations and 112385017 ideals in 7 passes
  103. Fri Jul 21 17:11:39 2017 max relations containing the same ideal: 20
  104. Fri Jul 21 17:12:15 2017 removing 6224787 relations and 4224787 ideals in 2000000 cliques
  105. Fri Jul 21 17:12:18 2017 commencing in-memory singleton removal
  106. Fri Jul 21 17:12:22 2017 begin with 163982737 relations and 112385017 unique ideals
  107. Fri Jul 21 17:12:58 2017 reduce to 163779250 relations and 107954198 ideals in 7 passes
  108. Fri Jul 21 17:12:58 2017 max relations containing the same ideal: 20
  109. Fri Jul 21 17:13:33 2017 removing 6204190 relations and 4204190 ideals in 2000000 cliques
  110. Fri Jul 21 17:13:36 2017 commencing in-memory singleton removal
  111. Fri Jul 21 17:13:39 2017 begin with 157575060 relations and 107954198 unique ideals
  112. Fri Jul 21 17:14:18 2017 reduce to 157374453 relations and 103546833 ideals in 8 passes
  113. Fri Jul 21 17:14:18 2017 max relations containing the same ideal: 20
  114. Fri Jul 21 17:14:52 2017 removing 6163788 relations and 4163788 ideals in 2000000 cliques
  115. Fri Jul 21 17:14:54 2017 commencing in-memory singleton removal
  116. Fri Jul 21 17:14:58 2017 begin with 151210665 relations and 103546833 unique ideals
  117. Fri Jul 21 17:15:31 2017 reduce to 151017847 relations and 99187676 ideals in 7 passes
  118. Fri Jul 21 17:15:31 2017 max relations containing the same ideal: 20
  119. Fri Jul 21 17:16:03 2017 removing 6143104 relations and 4143104 ideals in 2000000 cliques
  120. Fri Jul 21 17:16:05 2017 commencing in-memory singleton removal
  121. Fri Jul 21 17:16:09 2017 begin with 144874743 relations and 99187676 unique ideals
  122. Fri Jul 21 17:16:40 2017 reduce to 144677178 relations and 94844177 ideals in 7 passes
  123. Fri Jul 21 17:16:40 2017 max relations containing the same ideal: 20
  124. Fri Jul 21 17:17:11 2017 removing 5964428 relations and 3964428 ideals in 2000000 cliques
  125. Fri Jul 21 17:17:13 2017 commencing in-memory singleton removal
  126. Fri Jul 21 17:17:16 2017 begin with 138712750 relations and 94844177 unique ideals
  127. Fri Jul 21 17:17:42 2017 reduce to 138469778 relations and 90633188 ideals in 6 passes
  128. Fri Jul 21 17:17:42 2017 max relations containing the same ideal: 20
  129. Fri Jul 21 17:18:11 2017 removing 6081867 relations and 4081867 ideals in 2000000 cliques
  130. Fri Jul 21 17:18:14 2017 commencing in-memory singleton removal
  131. Fri Jul 21 17:18:17 2017 begin with 132387911 relations and 90633188 unique ideals
  132. Fri Jul 21 17:18:45 2017 reduce to 132170056 relations and 86330078 ideals in 7 passes
  133. Fri Jul 21 17:18:45 2017 max relations containing the same ideal: 20
  134. Fri Jul 21 17:19:13 2017 removing 6056507 relations and 4056507 ideals in 2000000 cliques
  135. Fri Jul 21 17:19:15 2017 commencing in-memory singleton removal
  136. Fri Jul 21 17:19:18 2017 begin with 126113549 relations and 86330078 unique ideals
  137. Fri Jul 21 17:19:48 2017 reduce to 125894722 relations and 82051109 ideals in 8 passes
  138. Fri Jul 21 17:19:48 2017 max relations containing the same ideal: 20
  139. Fri Jul 21 17:20:15 2017 removing 6014683 relations and 4014683 ideals in 2000000 cliques
  140. Fri Jul 21 17:20:17 2017 commencing in-memory singleton removal
  141. Fri Jul 21 17:20:20 2017 begin with 119880039 relations and 82051109 unique ideals
  142. Fri Jul 21 17:20:48 2017 reduce to 119655606 relations and 77808228 ideals in 8 passes
  143. Fri Jul 21 17:20:48 2017 max relations containing the same ideal: 20
  144. Fri Jul 21 17:21:14 2017 removing 6024516 relations and 4024516 ideals in 2000000 cliques
  145. Fri Jul 21 17:21:16 2017 commencing in-memory singleton removal
  146. Fri Jul 21 17:21:19 2017 begin with 113631090 relations and 77808228 unique ideals
  147. Fri Jul 21 17:21:45 2017 reduce to 113399440 relations and 73547975 ideals in 8 passes
  148. Fri Jul 21 17:21:45 2017 max relations containing the same ideal: 20
  149. Fri Jul 21 17:22:09 2017 removing 5878093 relations and 3878093 ideals in 2000000 cliques
  150. Fri Jul 21 17:22:11 2017 commencing in-memory singleton removal
  151. Fri Jul 21 17:22:14 2017 begin with 107521347 relations and 73547975 unique ideals
  152. Fri Jul 21 17:22:39 2017 reduce to 107232127 relations and 69375046 ideals in 8 passes
  153. Fri Jul 21 17:22:39 2017 max relations containing the same ideal: 20
  154. Fri Jul 21 17:23:01 2017 removing 5993691 relations and 3993691 ideals in 2000000 cliques
  155. Fri Jul 21 17:23:04 2017 commencing in-memory singleton removal
  156. Fri Jul 21 17:23:06 2017 begin with 101238436 relations and 69375046 unique ideals
  157. Fri Jul 21 17:23:23 2017 reduce to 100976597 relations and 65114441 ideals in 6 passes
  158. Fri Jul 21 17:23:23 2017 max relations containing the same ideal: 19
  159. Fri Jul 21 17:23:44 2017 removing 6013276 relations and 4013276 ideals in 2000000 cliques
  160. Fri Jul 21 17:23:46 2017 commencing in-memory singleton removal
  161. Fri Jul 21 17:23:48 2017 begin with 94963321 relations and 65114441 unique ideals
  162. Fri Jul 21 17:24:07 2017 reduce to 94688334 relations and 60820564 ideals in 7 passes
  163. Fri Jul 21 17:24:07 2017 max relations containing the same ideal: 18
  164. Fri Jul 21 17:24:27 2017 removing 5973194 relations and 3973194 ideals in 2000000 cliques
  165. Fri Jul 21 17:24:29 2017 commencing in-memory singleton removal
  166. Fri Jul 21 17:24:31 2017 begin with 88715140 relations and 60820564 unique ideals
  167. Fri Jul 21 17:24:48 2017 reduce to 88413778 relations and 56539349 ideals in 7 passes
  168. Fri Jul 21 17:24:48 2017 max relations containing the same ideal: 18
  169. Fri Jul 21 17:25:06 2017 removing 5910615 relations and 3910615 ideals in 2000000 cliques
  170. Fri Jul 21 17:25:08 2017 commencing in-memory singleton removal
  171. Fri Jul 21 17:25:09 2017 begin with 82503163 relations and 56539349 unique ideals
  172. Fri Jul 21 17:25:27 2017 reduce to 82159124 relations and 52276454 ideals in 8 passes
  173. Fri Jul 21 17:25:27 2017 max relations containing the same ideal: 17
  174. Fri Jul 21 17:25:44 2017 removing 5983500 relations and 3983500 ideals in 2000000 cliques
  175. Fri Jul 21 17:25:46 2017 commencing in-memory singleton removal
  176. Fri Jul 21 17:25:47 2017 begin with 76175624 relations and 52276454 unique ideals
  177. Fri Jul 21 17:26:04 2017 reduce to 75801300 relations and 47909050 ideals in 8 passes
  178. Fri Jul 21 17:26:04 2017 max relations containing the same ideal: 17
  179. Fri Jul 21 17:26:19 2017 removing 5985555 relations and 3985555 ideals in 2000000 cliques
  180. Fri Jul 21 17:26:21 2017 commencing in-memory singleton removal
  181. Fri Jul 21 17:26:22 2017 begin with 69815745 relations and 47909050 unique ideals
  182. Fri Jul 21 17:26:37 2017 reduce to 69421555 relations and 43518309 ideals in 8 passes
  183. Fri Jul 21 17:26:37 2017 max relations containing the same ideal: 16
  184. Fri Jul 21 17:26:50 2017 removing 3760242 relations and 2523122 ideals in 1237120 cliques
  185. Fri Jul 21 17:26:52 2017 commencing in-memory singleton removal
  186. Fri Jul 21 17:26:53 2017 begin with 65661313 relations and 43518309 unique ideals
  187. Fri Jul 21 17:27:07 2017 reduce to 65433673 relations and 40762194 ideals in 8 passes
  188. Fri Jul 21 17:27:07 2017 max relations containing the same ideal: 16
  189. Fri Jul 21 17:27:21 2017 relations with 0 large ideals: 5963550
  190. Fri Jul 21 17:27:21 2017 relations with 1 large ideals: 20850180
  191. Fri Jul 21 17:27:21 2017 relations with 2 large ideals: 25268563
  192. Fri Jul 21 17:27:21 2017 relations with 3 large ideals: 11110642
  193. Fri Jul 21 17:27:21 2017 relations with 4 large ideals: 2013587
  194. Fri Jul 21 17:27:21 2017 relations with 5 large ideals: 205877
  195. Fri Jul 21 17:27:21 2017 relations with 6 large ideals: 19709
  196. Fri Jul 21 17:27:21 2017 relations with 7+ large ideals: 1565
  197. Fri Jul 21 17:27:21 2017 commencing 2-way merge
  198. Fri Jul 21 17:27:37 2017 reduce to 40357510 relation sets and 15686031 unique ideals
  199. Fri Jul 21 17:27:37 2017 commencing full merge
  200. Fri Jul 21 17:29:06 2017 memory use: 1648.7 MB
  201. Fri Jul 21 17:29:09 2017 found 24605100 cycles, need 21264101
  202. Fri Jul 21 17:29:13 2017 weight of 21264101 cycles is about 1308437940 (61.53/cycle)
  203. Fri Jul 21 17:29:13 2017 distribution of cycle lengths:
  204. Fri Jul 21 17:29:13 2017 1 relations: 5963550
  205. Fri Jul 21 17:29:13 2017 2 relations: 2652591
  206. Fri Jul 21 17:29:13 2017 3 relations: 2040734
  207. Fri Jul 21 17:29:13 2017 4 relations: 1780604
  208. Fri Jul 21 17:29:13 2017 5 relations: 1646774
  209. Fri Jul 21 17:29:13 2017 6 relations: 1504823
  210. Fri Jul 21 17:29:13 2017 7 relations: 1370730
  211. Fri Jul 21 17:29:13 2017 8 relations: 1212210
  212. Fri Jul 21 17:29:13 2017 9 relations: 1052913
  213. Fri Jul 21 17:29:13 2017 10+ relations: 2039172
  214. Fri Jul 21 17:29:13 2017 heaviest cycle: 15 relations
  215. Fri Jul 21 17:29:14 2017 matrix not dense enough, retrying
  216. Fri Jul 21 17:29:16 2017 reading large ideals from disk
  217. Fri Jul 21 17:31:09 2017 keeping 180163543 ideals with weight <= 25, target excess is 16043408
  218. Fri Jul 21 17:33:01 2017 memory use: 7128.7 MB
  219. Fri Jul 21 17:33:01 2017 commencing in-memory singleton removal
  220. Fri Jul 21 17:33:11 2017 begin with 254738981 relations and 180163543 unique ideals
  221. Fri Jul 21 17:34:47 2017 reduce to 254721884 relations and 180146446 ideals in 8 passes
  222. Fri Jul 21 17:34:47 2017 max relations containing the same ideal: 25
  223. Fri Jul 21 17:35:54 2017 removing 11852226 relations and 9852226 ideals in 2000000 cliques
  224. Fri Jul 21 17:35:59 2017 commencing in-memory singleton removal
  225. Fri Jul 21 17:36:08 2017 begin with 242869658 relations and 180146446 unique ideals
  226. Fri Jul 21 17:37:28 2017 reduce to 242430750 relations and 169850617 ideals in 7 passes
  227. Fri Jul 21 17:37:28 2017 max relations containing the same ideal: 25
  228. Fri Jul 21 17:38:31 2017 removing 8868611 relations and 6868611 ideals in 2000000 cliques
  229. Fri Jul 21 17:38:35 2017 commencing in-memory singleton removal
  230. Fri Jul 21 17:38:44 2017 begin with 233562139 relations and 169850617 unique ideals
  231. Fri Jul 21 17:40:00 2017 reduce to 233275821 relations and 162693156 ideals in 7 passes
  232. Fri Jul 21 17:40:00 2017 max relations containing the same ideal: 25
  233. Fri Jul 21 17:41:01 2017 removing 7967770 relations and 5967770 ideals in 2000000 cliques
  234. Fri Jul 21 17:41:05 2017 commencing in-memory singleton removal
  235. Fri Jul 21 17:41:14 2017 begin with 225308051 relations and 162693156 unique ideals
  236. Fri Jul 21 17:42:25 2017 reduce to 225062605 relations and 156477708 ideals in 7 passes
  237. Fri Jul 21 17:42:25 2017 max relations containing the same ideal: 25
  238. Fri Jul 21 17:43:25 2017 removing 7464704 relations and 5464704 ideals in 2000000 cliques
  239. Fri Jul 21 17:43:28 2017 commencing in-memory singleton removal
  240. Fri Jul 21 17:43:37 2017 begin with 217597901 relations and 156477708 unique ideals
  241. Fri Jul 21 17:44:36 2017 reduce to 217373221 relations and 150786293 ideals in 6 passes
  242. Fri Jul 21 17:44:36 2017 max relations containing the same ideal: 25
  243. Fri Jul 21 17:45:33 2017 removing 7154302 relations and 5154302 ideals in 2000000 cliques
  244. Fri Jul 21 17:45:37 2017 commencing in-memory singleton removal
  245. Fri Jul 21 17:45:45 2017 begin with 210218919 relations and 150786293 unique ideals
  246. Fri Jul 21 17:46:51 2017 reduce to 210007344 relations and 145418412 ideals in 7 passes
  247. Fri Jul 21 17:46:51 2017 max relations containing the same ideal: 25
  248. Fri Jul 21 17:47:46 2017 removing 6939237 relations and 4939237 ideals in 2000000 cliques
  249. Fri Jul 21 17:47:50 2017 commencing in-memory singleton removal
  250. Fri Jul 21 17:47:57 2017 begin with 203068107 relations and 145418412 unique ideals
  251. Fri Jul 21 17:49:01 2017 reduce to 202867236 relations and 140276496 ideals in 7 passes
  252. Fri Jul 21 17:49:01 2017 max relations containing the same ideal: 25
  253. Fri Jul 21 17:49:54 2017 removing 6754510 relations and 4754510 ideals in 2000000 cliques
  254. Fri Jul 21 17:49:58 2017 commencing in-memory singleton removal
  255. Fri Jul 21 17:50:05 2017 begin with 196112726 relations and 140276496 unique ideals
  256. Fri Jul 21 17:51:06 2017 reduce to 195915390 relations and 135322685 ideals in 7 passes
  257. Fri Jul 21 17:51:06 2017 max relations containing the same ideal: 25
  258. Fri Jul 21 17:51:58 2017 removing 6648894 relations and 4648894 ideals in 2000000 cliques
  259. Fri Jul 21 17:52:01 2017 commencing in-memory singleton removal
  260. Fri Jul 21 17:52:08 2017 begin with 189266496 relations and 135322685 unique ideals
  261. Fri Jul 21 17:52:58 2017 reduce to 189076730 relations and 130482082 ideals in 6 passes
  262. Fri Jul 21 17:52:58 2017 max relations containing the same ideal: 25
  263. Fri Jul 21 17:53:49 2017 removing 6512481 relations and 4512481 ideals in 2000000 cliques
  264. Fri Jul 21 17:53:52 2017 commencing in-memory singleton removal
  265. Fri Jul 21 17:53:59 2017 begin with 182564249 relations and 130482082 unique ideals
  266. Fri Jul 21 17:54:47 2017 reduce to 182371883 relations and 125775160 ideals in 6 passes
  267. Fri Jul 21 17:54:47 2017 max relations containing the same ideal: 25
  268. Fri Jul 21 17:55:35 2017 removing 6447828 relations and 4447828 ideals in 2000000 cliques
  269. Fri Jul 21 17:55:38 2017 commencing in-memory singleton removal
  270. Fri Jul 21 17:55:45 2017 begin with 175924055 relations and 125775160 unique ideals
  271. Fri Jul 21 17:56:38 2017 reduce to 175736067 relations and 121137211 ideals in 7 passes
  272. Fri Jul 21 17:56:38 2017 max relations containing the same ideal: 25
  273. Fri Jul 21 17:57:25 2017 removing 6368066 relations and 4368066 ideals in 2000000 cliques
  274. Fri Jul 21 17:57:28 2017 commencing in-memory singleton removal
  275. Fri Jul 21 17:57:34 2017 begin with 169368001 relations and 121137211 unique ideals
  276. Fri Jul 21 17:58:17 2017 reduce to 169177411 relations and 116576417 ideals in 6 passes
  277. Fri Jul 21 17:58:17 2017 max relations containing the same ideal: 25
  278. Fri Jul 21 17:59:02 2017 removing 6289570 relations and 4289570 ideals in 2000000 cliques
  279. Fri Jul 21 17:59:05 2017 commencing in-memory singleton removal
  280. Fri Jul 21 17:59:11 2017 begin with 162887841 relations and 116576417 unique ideals
  281. Fri Jul 21 17:59:53 2017 reduce to 162697048 relations and 112093747 ideals in 6 passes
  282. Fri Jul 21 17:59:53 2017 max relations containing the same ideal: 25
  283. Fri Jul 21 18:00:36 2017 removing 6246113 relations and 4246113 ideals in 2000000 cliques
  284. Fri Jul 21 18:00:39 2017 commencing in-memory singleton removal
  285. Fri Jul 21 18:00:44 2017 begin with 156450935 relations and 112093747 unique ideals
  286. Fri Jul 21 18:01:31 2017 reduce to 156258991 relations and 107653252 ideals in 7 passes
  287. Fri Jul 21 18:01:31 2017 max relations containing the same ideal: 25
  288. Fri Jul 21 18:02:12 2017 removing 6214764 relations and 4214764 ideals in 2000000 cliques
  289. Fri Jul 21 18:02:15 2017 commencing in-memory singleton removal
  290. Fri Jul 21 18:02:20 2017 begin with 150044227 relations and 107653252 unique ideals
  291. Fri Jul 21 18:02:58 2017 reduce to 149849347 relations and 103241167 ideals in 6 passes
  292. Fri Jul 21 18:02:58 2017 max relations containing the same ideal: 25
  293. Fri Jul 21 18:03:38 2017 removing 6160242 relations and 4160242 ideals in 2000000 cliques
  294. Fri Jul 21 18:03:40 2017 commencing in-memory singleton removal
  295. Fri Jul 21 18:03:45 2017 begin with 143689105 relations and 103241167 unique ideals
  296. Fri Jul 21 18:04:27 2017 reduce to 143492309 relations and 98881505 ideals in 7 passes
  297. Fri Jul 21 18:04:27 2017 max relations containing the same ideal: 25
  298. Fri Jul 21 18:05:05 2017 removing 6139419 relations and 4139419 ideals in 2000000 cliques
  299. Fri Jul 21 18:05:08 2017 commencing in-memory singleton removal
  300. Fri Jul 21 18:05:12 2017 begin with 137352890 relations and 98881505 unique ideals
  301. Fri Jul 21 18:05:52 2017 reduce to 137152907 relations and 94539244 ideals in 7 passes
  302. Fri Jul 21 18:05:52 2017 max relations containing the same ideal: 25
  303. Fri Jul 21 18:06:29 2017 removing 6088575 relations and 4088575 ideals in 2000000 cliques
  304. Fri Jul 21 18:06:31 2017 commencing in-memory singleton removal
  305. Fri Jul 21 18:06:36 2017 begin with 131064332 relations and 94539244 unique ideals
  306. Fri Jul 21 18:07:13 2017 reduce to 130854061 relations and 90237251 ideals in 7 passes
  307. Fri Jul 21 18:07:13 2017 max relations containing the same ideal: 24
  308. Fri Jul 21 18:07:48 2017 removing 6062150 relations and 4062150 ideals in 2000000 cliques
  309. Fri Jul 21 18:07:50 2017 commencing in-memory singleton removal
  310. Fri Jul 21 18:07:54 2017 begin with 124791911 relations and 90237251 unique ideals
  311. Fri Jul 21 18:08:30 2017 reduce to 124574614 relations and 85954411 ideals in 7 passes
  312. Fri Jul 21 18:08:30 2017 max relations containing the same ideal: 24
  313. Fri Jul 21 18:09:03 2017 removing 6071475 relations and 4071475 ideals in 2000000 cliques
  314. Fri Jul 21 18:09:05 2017 commencing in-memory singleton removal
  315. Fri Jul 21 18:09:09 2017 begin with 118503139 relations and 85954411 unique ideals
  316. Fri Jul 21 18:09:42 2017 reduce to 118283583 relations and 81659678 ideals in 7 passes
  317. Fri Jul 21 18:09:42 2017 max relations containing the same ideal: 24
  318. Fri Jul 21 18:10:13 2017 removing 6053501 relations and 4053501 ideals in 2000000 cliques
  319. Fri Jul 21 18:10:15 2017 commencing in-memory singleton removal
  320. Fri Jul 21 18:10:19 2017 begin with 112230082 relations and 81659678 unique ideals
  321. Fri Jul 21 18:10:50 2017 reduce to 112004692 relations and 77376873 ideals in 7 passes
  322. Fri Jul 21 18:10:50 2017 max relations containing the same ideal: 23
  323. Fri Jul 21 18:11:20 2017 removing 6030540 relations and 4030540 ideals in 2000000 cliques
  324. Fri Jul 21 18:11:22 2017 commencing in-memory singleton removal
  325. Fri Jul 21 18:11:25 2017 begin with 105974152 relations and 77376873 unique ideals
  326. Fri Jul 21 18:11:54 2017 reduce to 105741188 relations and 73109182 ideals in 7 passes
  327. Fri Jul 21 18:11:54 2017 max relations containing the same ideal: 23
  328. Fri Jul 21 18:12:22 2017 removing 6029521 relations and 4029521 ideals in 2000000 cliques
  329. Fri Jul 21 18:12:24 2017 commencing in-memory singleton removal
  330. Fri Jul 21 18:12:27 2017 begin with 99711667 relations and 73109182 unique ideals
  331. Fri Jul 21 18:12:51 2017 reduce to 99465093 relations and 68828358 ideals in 6 passes
  332. Fri Jul 21 18:12:51 2017 max relations containing the same ideal: 23
  333. Fri Jul 21 18:13:16 2017 removing 6010114 relations and 4010114 ideals in 2000000 cliques
  334. Fri Jul 21 18:13:19 2017 commencing in-memory singleton removal
  335. Fri Jul 21 18:13:22 2017 begin with 93454979 relations and 68828358 unique ideals
  336. Fri Jul 21 18:13:47 2017 reduce to 93190904 relations and 64548781 ideals in 7 passes
  337. Fri Jul 21 18:13:47 2017 max relations containing the same ideal: 22
  338. Fri Jul 21 18:14:11 2017 removing 6012740 relations and 4012740 ideals in 2000000 cliques
  339. Fri Jul 21 18:14:13 2017 commencing in-memory singleton removal
  340. Fri Jul 21 18:14:16 2017 begin with 87178164 relations and 64548781 unique ideals
  341. Fri Jul 21 18:14:39 2017 reduce to 86888339 relations and 60240035 ideals in 7 passes
  342. Fri Jul 21 18:14:39 2017 max relations containing the same ideal: 22
  343. Fri Jul 21 18:15:01 2017 removing 6009439 relations and 4009439 ideals in 2000000 cliques
  344. Fri Jul 21 18:15:03 2017 commencing in-memory singleton removal
  345. Fri Jul 21 18:15:05 2017 begin with 80878900 relations and 60240035 unique ideals
  346. Fri Jul 21 18:15:30 2017 reduce to 80560015 relations and 55904312 ideals in 8 passes
  347. Fri Jul 21 18:15:30 2017 max relations containing the same ideal: 20
  348. Fri Jul 21 18:15:50 2017 removing 6062096 relations and 4062096 ideals in 2000000 cliques
  349. Fri Jul 21 18:15:52 2017 commencing in-memory singleton removal
  350. Fri Jul 21 18:15:54 2017 begin with 74497919 relations and 55904312 unique ideals
  351. Fri Jul 21 18:16:16 2017 reduce to 74161986 relations and 51497990 ideals in 8 passes
  352. Fri Jul 21 18:16:16 2017 max relations containing the same ideal: 20
  353. Fri Jul 21 18:16:35 2017 removing 6074840 relations and 4074840 ideals in 2000000 cliques
  354. Fri Jul 21 18:16:37 2017 commencing in-memory singleton removal
  355. Fri Jul 21 18:16:38 2017 begin with 68087146 relations and 51497990 unique ideals
  356. Fri Jul 21 18:16:58 2017 reduce to 67705581 relations and 47031415 ideals in 8 passes
  357. Fri Jul 21 18:16:58 2017 max relations containing the same ideal: 20
  358. Fri Jul 21 18:17:15 2017 removing 6136973 relations and 4136973 ideals in 2000000 cliques
  359. Fri Jul 21 18:17:17 2017 commencing in-memory singleton removal
  360. Fri Jul 21 18:17:18 2017 begin with 61568608 relations and 47031415 unique ideals
  361. Fri Jul 21 18:17:35 2017 reduce to 61130254 relations and 42443406 ideals in 8 passes
  362. Fri Jul 21 18:17:35 2017 max relations containing the same ideal: 18
  363. Fri Jul 21 18:17:51 2017 removing 259893 relations and 183399 ideals in 76494 cliques
  364. Fri Jul 21 18:17:52 2017 commencing in-memory singleton removal
  365. Fri Jul 21 18:17:53 2017 begin with 60870361 relations and 42443406 unique ideals
  366. Fri Jul 21 18:18:04 2017 reduce to 60867420 relations and 42257061 ideals in 5 passes
  367. Fri Jul 21 18:18:04 2017 max relations containing the same ideal: 18
  368. Fri Jul 21 18:18:07 2017 relations with 0 large ideals: 3140326
  369. Fri Jul 21 18:18:07 2017 relations with 1 large ideals: 12984832
  370. Fri Jul 21 18:18:07 2017 relations with 2 large ideals: 21859742
  371. Fri Jul 21 18:18:07 2017 relations with 3 large ideals: 15982689
  372. Fri Jul 21 18:18:07 2017 relations with 4 large ideals: 5595344
  373. Fri Jul 21 18:18:07 2017 relations with 5 large ideals: 1078504
  374. Fri Jul 21 18:18:07 2017 relations with 6 large ideals: 181883
  375. Fri Jul 21 18:18:07 2017 relations with 7+ large ideals: 44100
  376. Fri Jul 21 18:18:07 2017 commencing 2-way merge
  377. Fri Jul 21 18:18:26 2017 reduce to 38758873 relation sets and 20148514 unique ideals
  378. Fri Jul 21 18:18:26 2017 commencing full merge
  379. Fri Jul 21 18:21:42 2017 memory use: 1872.9 MB
  380. Fri Jul 21 18:21:44 2017 found 18706488 cycles, need 16864714
  381. Fri Jul 21 18:21:48 2017 weight of 16864714 cycles is about 1889108233 (112.02/cycle)
  382. Fri Jul 21 18:21:48 2017 distribution of cycle lengths:
  383. Fri Jul 21 18:21:48 2017 1 relations: 3142681
  384. Fri Jul 21 18:21:48 2017 2 relations: 1208011
  385. Fri Jul 21 18:21:48 2017 3 relations: 958866
  386. Fri Jul 21 18:21:48 2017 4 relations: 884334
  387. Fri Jul 21 18:21:48 2017 5 relations: 875605
  388. Fri Jul 21 18:21:48 2017 6 relations: 864799
  389. Fri Jul 21 18:21:48 2017 7 relations: 866204
  390. Fri Jul 21 18:21:48 2017 8 relations: 853096
  391. Fri Jul 21 18:21:48 2017 9 relations: 840459
  392. Fri Jul 21 18:21:48 2017 10+ relations: 6370659
  393. Fri Jul 21 18:21:48 2017 heaviest cycle: 24 relations
  394. Fri Jul 21 18:21:49 2017 commencing cycle optimization
  395. Fri Jul 21 18:22:12 2017 start with 132204773 relations
  396. Fri Jul 21 18:25:42 2017 pruned 11867597 relations
  397. Fri Jul 21 18:25:42 2017 memory use: 3403.5 MB
  398. Fri Jul 21 18:25:42 2017 distribution of cycle lengths:
  399. Fri Jul 21 18:25:42 2017 1 relations: 3142681
  400. Fri Jul 21 18:25:42 2017 2 relations: 1258016
  401. Fri Jul 21 18:25:42 2017 3 relations: 1027336
  402. Fri Jul 21 18:25:42 2017 4 relations: 965334
  403. Fri Jul 21 18:25:42 2017 5 relations: 979780
  404. Fri Jul 21 18:25:42 2017 6 relations: 983329
  405. Fri Jul 21 18:25:42 2017 7 relations: 1002049
  406. Fri Jul 21 18:25:42 2017 8 relations: 990378
  407. Fri Jul 21 18:25:42 2017 9 relations: 974974
  408. Fri Jul 21 18:25:42 2017 10+ relations: 5540837
  409. Fri Jul 21 18:25:42 2017 heaviest cycle: 24 relations
  410. Fri Jul 21 18:25:53 2017 RelProcTime: 12851
  411. Fri Jul 21 18:25:53 2017
  412. Fri Jul 21 18:25:53 2017 commencing linear algebra
  413. Fri Jul 21 18:26:08 2017 read 16864714 cycles
  414. Fri Jul 21 18:26:37 2017 cycles contain 52184721 unique relations
  415. Fri Jul 21 18:31:16 2017 read 52184721 relations
  416. Fri Jul 21 18:32:34 2017 using 20 quadratic characters above 4294917295
  417. Fri Jul 21 18:35:53 2017 building initial matrix
  418. Fri Jul 21 18:44:07 2017 memory use: 6699.6 MB
  419. Fri Jul 21 18:44:13 2017 read 16864714 cycles
  420. Fri Jul 21 18:44:15 2017 matrix is 16862704 x 16864714 (6949.5 MB) with weight 1998396089 (118.50/col)
  421. Fri Jul 21 18:44:15 2017 sparse part has weight 1636257322 (97.02/col)
  422. Fri Jul 21 18:48:57 2017 filtering completed in 3 passes
  423. Fri Jul 21 18:49:00 2017 matrix is 16820269 x 16820469 (6939.7 MB) with weight 1995419239 (118.63/col)
  424. Fri Jul 21 18:49:00 2017 sparse part has weight 1634178004 (97.15/col)
  425. Fri Jul 21 18:49:50 2017 matrix starts at (0, 0)
  426. Fri Jul 21 18:49:52 2017 matrix is 16820269 x 16820469 (6939.7 MB) with weight 1995419239 (118.63/col)
  427. Fri Jul 21 18:49:52 2017 sparse part has weight 1634178004 (97.15/col)
  428. Fri Jul 21 18:49:52 2017 saving the first 48 matrix rows for later
  429. Fri Jul 21 18:49:54 2017 matrix includes 64 packed rows
  430. Fri Jul 21 18:49:56 2017 matrix is 16820221 x 16820469 (6641.0 MB) with weight 1681802377 (99.99/col)
  431. Fri Jul 21 18:49:56 2017 sparse part has weight 1572689055 (93.50/col)
  432. Fri Jul 21 18:49:56 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  433. Fri Jul 21 18:51:04 2017 commencing Lanczos iteration (4 threads)
  434. Fri Jul 21 18:51:04 2017 memory use: 5643.8 MB
  435. Fri Jul 21 18:52:30 2017 linear algebra at 0.0%, ETA 252h22m
  436. Fri Jul 21 18:52:58 2017 checkpointing every 70000 dimensions
  437. Sun Jul 30 20:17:12 2017
  438. Sun Jul 30 20:17:12 2017
  439. Sun Jul 30 20:17:12 2017 Msieve v. 1.53 (SVN unknown)
  440. Sun Jul 30 20:17:12 2017 random seeds: 70c61570 e8be61f2
  441. Sun Jul 30 20:17:12 2017 factoring 314653115809307951898713853390593679365304026849878683717647306448540598024840725423941604678327491979309970558045182675162419704208615919288865579283623418810465733214078622746767013840787080771222275807872799719543 (216 digits)
  442. Sun Jul 30 20:17:13 2017 searching for 15-digit factors
  443. Sun Jul 30 20:17:13 2017 commencing number field sieve (216-digit input)
  444. Sun Jul 30 20:17:13 2017 R0: 241335311011519234780052665404754645838881
  445. Sun Jul 30 20:17:13 2017 R1: -2273168619161481613
  446. Sun Jul 30 20:17:13 2017 A0: 8535703
  447. Sun Jul 30 20:17:13 2017 A1: 0
  448. Sun Jul 30 20:17:13 2017 A2: 0
  449. Sun Jul 30 20:17:13 2017 A3: 0
  450. Sun Jul 30 20:17:13 2017 A4: 0
  451. Sun Jul 30 20:17:13 2017 A5: 0
  452. Sun Jul 30 20:17:13 2017 A6: 13
  453. Sun Jul 30 20:17:13 2017 skew 9.32, size 6.352e-13, alpha -0.311, combined = 8.929e-14 rroots = 0
  454. Sun Jul 30 20:17:13 2017
  455. Sun Jul 30 20:17:13 2017 commencing linear algebra
  456. Sun Jul 30 20:17:13 2017 skipping matrix build
  457. Sun Jul 30 20:17:30 2017 matrix starts at (0, 0)
  458. Sun Jul 30 20:17:32 2017 matrix is 16820269 x 16820469 (6939.7 MB) with weight 1995419239 (118.63/col)
  459. Sun Jul 30 20:17:32 2017 sparse part has weight 1634178004 (97.15/col)
  460. Sun Jul 30 20:17:32 2017 saving the first 48 matrix rows for later
  461. Sun Jul 30 20:17:35 2017 matrix includes 64 packed rows
  462. Sun Jul 30 20:17:37 2017 matrix is 16820221 x 16820469 (6641.0 MB) with weight 1681802377 (99.99/col)
  463. Sun Jul 30 20:17:37 2017 sparse part has weight 1572689055 (93.50/col)
  464. Sun Jul 30 20:17:37 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  465. Sun Jul 30 20:18:52 2017 commencing Lanczos iteration (4 threads)
  466. Sun Jul 30 20:18:52 2017 memory use: 5643.8 MB
  467. Sun Jul 30 20:18:54 2017 restarting at iteration 263454 (dim = 16660050)
  468. Sun Jul 30 20:20:51 2017 linear algebra at 99.1%, ETA 3h23m
  469. Sun Jul 30 20:21:26 2017 checkpointing every 50000 dimensions
  470. Sun Jul 30 23:34:51 2017 lanczos halted after 265989 iterations (dim = 16820215)
  471. Sun Jul 30 23:35:15 2017 recovered 35 nontrivial dependencies
  472. Sun Jul 30 23:35:15 2017 BLanczosTime: 11882
  473. Sun Jul 30 23:35:15 2017
  474. Sun Jul 30 23:35:15 2017 commencing square root phase
  475. Sun Jul 30 23:35:15 2017 handling dependencies 1 to 64
  476. Sun Jul 30 23:35:15 2017 reading relations for dependency 1
  477. Sun Jul 30 23:35:17 2017 read 8408493 cycles
  478. Sun Jul 30 23:35:29 2017 cycles contain 26068406 unique relations
  479. Sun Jul 30 23:38:13 2017 read 26068406 relations
  480. Sun Jul 30 23:39:44 2017 multiplying 26068406 relations
  481. Mon Jul 31 00:00:11 2017 multiply complete, coefficients have about 801.55 million bits
  482. Mon Jul 31 00:00:14 2017 initial square root is modulo 15527833
  483. Mon Jul 31 00:21:52 2017 GCD is 1, no factor found
  484. Mon Jul 31 00:21:52 2017 reading relations for dependency 2
  485. Mon Jul 31 00:21:53 2017 read 8411924 cycles
  486. Mon Jul 31 00:22:05 2017 cycles contain 26069126 unique relations
  487. Mon Jul 31 00:24:44 2017 read 26069126 relations
  488. Mon Jul 31 00:26:16 2017 multiplying 26069126 relations
  489. Mon Jul 31 00:46:43 2017 multiply complete, coefficients have about 801.57 million bits
  490. Mon Jul 31 00:46:46 2017 initial square root is modulo 15535111
  491. Mon Jul 31 01:08:24 2017 sqrtTime: 5589
  492. Mon Jul 31 01:08:24 2017 p71 factor: 55031288291934785931210279544691097659020271041250783748556162338270193
  493. Mon Jul 31 01:08:24 2017 p145 factor: 5717713060615783034766696501760525326408926267920845813396006809880497335502921301902344427990866856795430401226765327518254114382969482509662951
  494. Mon Jul 31 01:08:24 2017 elapsed time 04:51:12
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