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P53 (374249...)^5-1

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Oct 22nd, 2016
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  1. Thu Oct 20 15:41:15 2016
  2. Thu Oct 20 15:41:15 2016
  3. Thu Oct 20 15:41:15 2016 Msieve v. 1.53 (SVN 988M)
  4. Thu Oct 20 15:41:15 2016 random seeds: b389519f c82b585c
  5. Thu Oct 20 15:41:15 2016 factoring 257915803797040882869803568574113489040166623177340452301024818699700925174218015042349851738100548510838633756161712300800213837650958023581012531254376637713312723930979069411 (177 digits)
  6. Thu Oct 20 15:41:15 2016 searching for 15-digit factors
  7. Thu Oct 20 15:41:16 2016 commencing number field sieve (177-digit input)
  8. Thu Oct 20 15:41:16 2016 R0: 37424900799714233724027045150234142768618867083668617
  9. Thu Oct 20 15:41:16 2016 R1: -1
  10. Thu Oct 20 15:41:16 2016 A0: 1
  11. Thu Oct 20 15:41:16 2016 A1: 1
  12. Thu Oct 20 15:41:16 2016 A2: 1
  13. Thu Oct 20 15:41:16 2016 A3: 1
  14. Thu Oct 20 15:41:16 2016 A4: 1
  15. Thu Oct 20 15:41:16 2016 skew 1.00, size 1.913e-21, alpha 1.694, combined = 8.263e-13 rroots = 0
  16. Thu Oct 20 15:41:16 2016
  17. Thu Oct 20 15:41:16 2016 commencing relation filtering
  18. Thu Oct 20 15:41:16 2016 setting target matrix density to 140.0
  19. Thu Oct 20 15:41:16 2016 estimated available RAM is 65536.0 MB
  20. Thu Oct 20 15:41:16 2016 commencing duplicate removal, pass 1
  21. Thu Oct 20 16:01:22 2016 error -9 reading relation 159789881
  22. Thu Oct 20 16:10:18 2016 error -1 reading relation 230759648
  23. Thu Oct 20 16:15:20 2016 error -9 reading relation 270753118
  24. Thu Oct 20 16:15:21 2016 error -5 reading relation 270815246
  25. Thu Oct 20 16:15:23 2016 error -9 reading relation 271111950
  26. Thu Oct 20 16:15:23 2016 error -15 reading relation 271142206
  27. Thu Oct 20 16:15:25 2016 error -9 reading relation 271325606
  28. Thu Oct 20 16:15:26 2016 error -9 reading relation 271465208
  29. Thu Oct 20 16:15:28 2016 error -9 reading relation 271791512
  30. Thu Oct 20 16:15:29 2016 error -9 reading relation 271893409
  31. Thu Oct 20 16:16:51 2016 error -1 reading relation 282688169
  32. Thu Oct 20 16:18:02 2016 error -15 reading relation 292153571
  33. Thu Oct 20 16:18:14 2016 error -9 reading relation 293739273
  34. Thu Oct 20 16:18:20 2016 error -1 reading relation 294686101
  35. Thu Oct 20 16:18:22 2016 error -1 reading relation 294990979
  36. Thu Oct 20 16:18:27 2016 error -15 reading relation 295701812
  37. Thu Oct 20 16:18:28 2016 error -1 reading relation 295852248
  38. Thu Oct 20 16:18:47 2016 error -9 reading relation 298424010
  39. Thu Oct 20 16:18:49 2016 error -9 reading relation 298616881
  40. Thu Oct 20 16:18:49 2016 error -9 reading relation 298649604
  41. Thu Oct 20 16:19:02 2016 skipped 540 relations with b > 2^32
  42. Thu Oct 20 16:19:02 2016 skipped 8 relations with composite factors
  43. Thu Oct 20 16:19:02 2016 found 56072611 hash collisions in 300391462 relations
  44. Thu Oct 20 16:19:10 2016 added 3657741 free relations
  45. Thu Oct 20 16:19:10 2016 commencing duplicate removal, pass 2
  46. Thu Oct 20 16:23:46 2016 found 51107825 duplicates and 252941378 unique relations
  47. Thu Oct 20 16:23:46 2016 memory use: 1449.5 MB
  48. Thu Oct 20 16:23:46 2016 reading ideals above 720000
  49. Thu Oct 20 16:23:46 2016 commencing singleton removal, initial pass
  50. Thu Oct 20 16:54:26 2016 memory use: 5512.0 MB
  51. Thu Oct 20 16:54:26 2016 reading all ideals from disk
  52. Thu Oct 20 16:54:32 2016 memory use: 9565.5 MB
  53. Thu Oct 20 16:54:57 2016 keeping 179071379 ideals with weight <= 200, target excess is 1365048
  54. Thu Oct 20 16:55:27 2016 commencing in-memory singleton removal
  55. Thu Oct 20 16:55:45 2016 begin with 252941378 relations and 179071379 unique ideals
  56. Thu Oct 20 16:58:26 2016 reduce to 198179445 relations and 120570037 ideals in 10 passes
  57. Thu Oct 20 16:58:26 2016 max relations containing the same ideal: 179
  58. Thu Oct 20 16:59:32 2016 removing 7629813 relations and 5629813 ideals in 2000000 cliques
  59. Thu Oct 20 16:59:36 2016 commencing in-memory singleton removal
  60. Thu Oct 20 16:59:49 2016 begin with 190549632 relations and 120570037 unique ideals
  61. Thu Oct 20 17:01:18 2016 reduce to 190279304 relations and 114666094 ideals in 6 passes
  62. Thu Oct 20 17:01:18 2016 max relations containing the same ideal: 176
  63. Thu Oct 20 17:02:21 2016 removing 6044257 relations and 4044257 ideals in 2000000 cliques
  64. Thu Oct 20 17:02:24 2016 commencing in-memory singleton removal
  65. Thu Oct 20 17:02:37 2016 begin with 184235047 relations and 114666094 unique ideals
  66. Thu Oct 20 17:04:02 2016 reduce to 184060072 relations and 110444709 ideals in 6 passes
  67. Thu Oct 20 17:04:02 2016 max relations containing the same ideal: 173
  68. Thu Oct 20 17:05:03 2016 removing 5622008 relations and 3622008 ideals in 2000000 cliques
  69. Thu Oct 20 17:05:07 2016 commencing in-memory singleton removal
  70. Thu Oct 20 17:05:19 2016 begin with 178438064 relations and 110444709 unique ideals
  71. Thu Oct 20 17:06:41 2016 reduce to 178295571 relations and 106678520 ideals in 6 passes
  72. Thu Oct 20 17:06:41 2016 max relations containing the same ideal: 170
  73. Thu Oct 20 17:07:40 2016 removing 5398371 relations and 3398371 ideals in 2000000 cliques
  74. Thu Oct 20 17:07:44 2016 commencing in-memory singleton removal
  75. Thu Oct 20 17:07:55 2016 begin with 172897200 relations and 106678520 unique ideals
  76. Thu Oct 20 17:09:15 2016 reduce to 172771774 relations and 103153278 ideals in 6 passes
  77. Thu Oct 20 17:09:15 2016 max relations containing the same ideal: 169
  78. Thu Oct 20 17:10:12 2016 removing 5246093 relations and 3246093 ideals in 2000000 cliques
  79. Thu Oct 20 17:10:16 2016 commencing in-memory singleton removal
  80. Thu Oct 20 17:10:27 2016 begin with 167525681 relations and 103153278 unique ideals
  81. Thu Oct 20 17:11:32 2016 reduce to 167413745 relations and 99793867 ideals in 5 passes
  82. Thu Oct 20 17:11:32 2016 max relations containing the same ideal: 168
  83. Thu Oct 20 17:12:27 2016 removing 5130190 relations and 3130190 ideals in 2000000 cliques
  84. Thu Oct 20 17:12:31 2016 commencing in-memory singleton removal
  85. Thu Oct 20 17:12:42 2016 begin with 162283555 relations and 99793867 unique ideals
  86. Thu Oct 20 17:13:44 2016 reduce to 162179357 relations and 96558165 ideals in 5 passes
  87. Thu Oct 20 17:13:44 2016 max relations containing the same ideal: 167
  88. Thu Oct 20 17:14:37 2016 removing 5041261 relations and 3041261 ideals in 2000000 cliques
  89. Thu Oct 20 17:14:40 2016 commencing in-memory singleton removal
  90. Thu Oct 20 17:14:51 2016 begin with 157138096 relations and 96558165 unique ideals
  91. Thu Oct 20 17:16:03 2016 reduce to 157040418 relations and 93417961 ideals in 6 passes
  92. Thu Oct 20 17:16:03 2016 max relations containing the same ideal: 165
  93. Thu Oct 20 17:16:55 2016 removing 4967834 relations and 2967834 ideals in 2000000 cliques
  94. Thu Oct 20 17:16:58 2016 commencing in-memory singleton removal
  95. Thu Oct 20 17:17:08 2016 begin with 152072584 relations and 93417961 unique ideals
  96. Thu Oct 20 17:18:06 2016 reduce to 151979074 relations and 90355397 ideals in 5 passes
  97. Thu Oct 20 17:18:06 2016 max relations containing the same ideal: 162
  98. Thu Oct 20 17:18:56 2016 removing 4904276 relations and 2904276 ideals in 2000000 cliques
  99. Thu Oct 20 17:18:59 2016 commencing in-memory singleton removal
  100. Thu Oct 20 17:19:08 2016 begin with 147074798 relations and 90355397 unique ideals
  101. Thu Oct 20 17:20:04 2016 reduce to 146985663 relations and 87360733 ideals in 5 passes
  102. Thu Oct 20 17:20:04 2016 max relations containing the same ideal: 157
  103. Thu Oct 20 17:20:52 2016 removing 4850262 relations and 2850262 ideals in 2000000 cliques
  104. Thu Oct 20 17:20:55 2016 commencing in-memory singleton removal
  105. Thu Oct 20 17:21:05 2016 begin with 142135401 relations and 87360733 unique ideals
  106. Thu Oct 20 17:21:58 2016 reduce to 142050050 relations and 84423874 ideals in 5 passes
  107. Thu Oct 20 17:21:58 2016 max relations containing the same ideal: 149
  108. Thu Oct 20 17:22:45 2016 removing 4800641 relations and 2800641 ideals in 2000000 cliques
  109. Thu Oct 20 17:22:47 2016 commencing in-memory singleton removal
  110. Thu Oct 20 17:22:56 2016 begin with 137249409 relations and 84423874 unique ideals
  111. Thu Oct 20 17:23:48 2016 reduce to 137166206 relations and 81538819 ideals in 5 passes
  112. Thu Oct 20 17:23:48 2016 max relations containing the same ideal: 145
  113. Thu Oct 20 17:24:33 2016 removing 4756065 relations and 2756065 ideals in 2000000 cliques
  114. Thu Oct 20 17:24:35 2016 commencing in-memory singleton removal
  115. Thu Oct 20 17:24:44 2016 begin with 132410141 relations and 81538819 unique ideals
  116. Thu Oct 20 17:25:34 2016 reduce to 132328766 relations and 78700174 ideals in 5 passes
  117. Thu Oct 20 17:25:34 2016 max relations containing the same ideal: 143
  118. Thu Oct 20 17:26:17 2016 removing 4716231 relations and 2716231 ideals in 2000000 cliques
  119. Thu Oct 20 17:26:19 2016 commencing in-memory singleton removal
  120. Thu Oct 20 17:26:28 2016 begin with 127612535 relations and 78700174 unique ideals
  121. Thu Oct 20 17:27:16 2016 reduce to 127532676 relations and 75902788 ideals in 5 passes
  122. Thu Oct 20 17:27:16 2016 max relations containing the same ideal: 141
  123. Thu Oct 20 17:27:57 2016 removing 4678975 relations and 2678975 ideals in 2000000 cliques
  124. Thu Oct 20 17:28:00 2016 commencing in-memory singleton removal
  125. Thu Oct 20 17:28:08 2016 begin with 122853701 relations and 75902788 unique ideals
  126. Thu Oct 20 17:28:53 2016 reduce to 122775023 relations and 73143834 ideals in 5 passes
  127. Thu Oct 20 17:28:53 2016 max relations containing the same ideal: 138
  128. Thu Oct 20 17:29:33 2016 removing 4647349 relations and 2647349 ideals in 2000000 cliques
  129. Thu Oct 20 17:29:35 2016 commencing in-memory singleton removal
  130. Thu Oct 20 17:29:43 2016 begin with 118127674 relations and 73143834 unique ideals
  131. Thu Oct 20 17:30:27 2016 reduce to 118049696 relations and 70417217 ideals in 5 passes
  132. Thu Oct 20 17:30:27 2016 max relations containing the same ideal: 134
  133. Thu Oct 20 17:31:04 2016 removing 4617107 relations and 2617107 ideals in 2000000 cliques
  134. Thu Oct 20 17:31:07 2016 commencing in-memory singleton removal
  135. Thu Oct 20 17:31:14 2016 begin with 113432589 relations and 70417217 unique ideals
  136. Thu Oct 20 17:31:56 2016 reduce to 113355876 relations and 67722125 ideals in 5 passes
  137. Thu Oct 20 17:31:56 2016 max relations containing the same ideal: 133
  138. Thu Oct 20 17:32:32 2016 removing 4586064 relations and 2586064 ideals in 2000000 cliques
  139. Thu Oct 20 17:32:35 2016 commencing in-memory singleton removal
  140. Thu Oct 20 17:32:42 2016 begin with 108769812 relations and 67722125 unique ideals
  141. Thu Oct 20 17:33:22 2016 reduce to 108693419 relations and 65058337 ideals in 5 passes
  142. Thu Oct 20 17:33:22 2016 max relations containing the same ideal: 131
  143. Thu Oct 20 17:33:56 2016 removing 4560072 relations and 2560072 ideals in 2000000 cliques
  144. Thu Oct 20 17:33:58 2016 commencing in-memory singleton removal
  145. Thu Oct 20 17:34:05 2016 begin with 104133347 relations and 65058337 unique ideals
  146. Thu Oct 20 17:34:43 2016 reduce to 104057960 relations and 62421546 ideals in 5 passes
  147. Thu Oct 20 17:34:43 2016 max relations containing the same ideal: 128
  148. Thu Oct 20 17:35:16 2016 removing 4532937 relations and 2532937 ideals in 2000000 cliques
  149. Thu Oct 20 17:35:18 2016 commencing in-memory singleton removal
  150. Thu Oct 20 17:35:24 2016 begin with 99525023 relations and 62421546 unique ideals
  151. Thu Oct 20 17:36:01 2016 reduce to 99449235 relations and 59811467 ideals in 5 passes
  152. Thu Oct 20 17:36:01 2016 max relations containing the same ideal: 120
  153. Thu Oct 20 17:36:32 2016 removing 4508202 relations and 2508202 ideals in 2000000 cliques
  154. Thu Oct 20 17:36:34 2016 commencing in-memory singleton removal
  155. Thu Oct 20 17:36:40 2016 begin with 94941033 relations and 59811467 unique ideals
  156. Thu Oct 20 17:37:14 2016 reduce to 94866241 relations and 57227182 ideals in 5 passes
  157. Thu Oct 20 17:37:14 2016 max relations containing the same ideal: 117
  158. Thu Oct 20 17:37:44 2016 removing 4484964 relations and 2484964 ideals in 2000000 cliques
  159. Thu Oct 20 17:37:46 2016 commencing in-memory singleton removal
  160. Thu Oct 20 17:37:51 2016 begin with 90381277 relations and 57227182 unique ideals
  161. Thu Oct 20 17:38:18 2016 reduce to 90305929 relations and 54665511 ideals in 4 passes
  162. Thu Oct 20 17:38:18 2016 max relations containing the same ideal: 115
  163. Thu Oct 20 17:38:45 2016 removing 4461818 relations and 2461818 ideals in 2000000 cliques
  164. Thu Oct 20 17:38:47 2016 commencing in-memory singleton removal
  165. Thu Oct 20 17:38:53 2016 begin with 85844111 relations and 54665511 unique ideals
  166. Thu Oct 20 17:39:24 2016 reduce to 85768460 relations and 52126634 ideals in 5 passes
  167. Thu Oct 20 17:39:24 2016 max relations containing the same ideal: 109
  168. Thu Oct 20 17:39:49 2016 removing 4440322 relations and 2440322 ideals in 2000000 cliques
  169. Thu Oct 20 17:39:51 2016 commencing in-memory singleton removal
  170. Thu Oct 20 17:39:56 2016 begin with 81328138 relations and 52126634 unique ideals
  171. Thu Oct 20 17:40:20 2016 reduce to 81251338 relations and 49608147 ideals in 4 passes
  172. Thu Oct 20 17:40:20 2016 max relations containing the same ideal: 104
  173. Thu Oct 20 17:40:44 2016 removing 4418277 relations and 2418277 ideals in 2000000 cliques
  174. Thu Oct 20 17:40:46 2016 commencing in-memory singleton removal
  175. Thu Oct 20 17:40:51 2016 begin with 76833061 relations and 49608147 unique ideals
  176. Thu Oct 20 17:41:18 2016 reduce to 76754454 relations and 47109847 ideals in 5 passes
  177. Thu Oct 20 17:41:18 2016 max relations containing the same ideal: 100
  178. Thu Oct 20 17:41:41 2016 removing 4396823 relations and 2396823 ideals in 2000000 cliques
  179. Thu Oct 20 17:41:43 2016 commencing in-memory singleton removal
  180. Thu Oct 20 17:41:47 2016 begin with 72357631 relations and 47109847 unique ideals
  181. Thu Oct 20 17:42:13 2016 reduce to 72277802 relations and 44631713 ideals in 5 passes
  182. Thu Oct 20 17:42:13 2016 max relations containing the same ideal: 97
  183. Thu Oct 20 17:42:34 2016 removing 4376289 relations and 2376289 ideals in 2000000 cliques
  184. Thu Oct 20 17:42:35 2016 commencing in-memory singleton removal
  185. Thu Oct 20 17:42:39 2016 begin with 67901513 relations and 44631713 unique ideals
  186. Thu Oct 20 17:43:03 2016 reduce to 67818522 relations and 42170864 ideals in 5 passes
  187. Thu Oct 20 17:43:03 2016 max relations containing the same ideal: 92
  188. Thu Oct 20 17:43:23 2016 removing 4356448 relations and 2356448 ideals in 2000000 cliques
  189. Thu Oct 20 17:43:24 2016 commencing in-memory singleton removal
  190. Thu Oct 20 17:43:28 2016 begin with 63462074 relations and 42170864 unique ideals
  191. Thu Oct 20 17:43:50 2016 reduce to 63376976 relations and 39727646 ideals in 5 passes
  192. Thu Oct 20 17:43:50 2016 max relations containing the same ideal: 86
  193. Thu Oct 20 17:44:08 2016 removing 4334976 relations and 2334976 ideals in 2000000 cliques
  194. Thu Oct 20 17:44:10 2016 commencing in-memory singleton removal
  195. Thu Oct 20 17:44:14 2016 begin with 59042000 relations and 39727646 unique ideals
  196. Thu Oct 20 17:44:30 2016 reduce to 58952264 relations and 37301149 ideals in 4 passes
  197. Thu Oct 20 17:44:30 2016 max relations containing the same ideal: 81
  198. Thu Oct 20 17:44:47 2016 removing 4316584 relations and 2316584 ideals in 2000000 cliques
  199. Thu Oct 20 17:44:48 2016 commencing in-memory singleton removal
  200. Thu Oct 20 17:44:51 2016 begin with 54635680 relations and 37301149 unique ideals
  201. Thu Oct 20 17:45:10 2016 reduce to 54541873 relations and 34888792 ideals in 5 passes
  202. Thu Oct 20 17:45:10 2016 max relations containing the same ideal: 80
  203. Thu Oct 20 17:45:25 2016 removing 4295842 relations and 2295842 ideals in 2000000 cliques
  204. Thu Oct 20 17:45:27 2016 commencing in-memory singleton removal
  205. Thu Oct 20 17:45:29 2016 begin with 50246031 relations and 34888792 unique ideals
  206. Thu Oct 20 17:45:47 2016 reduce to 50147328 relations and 32492148 ideals in 5 passes
  207. Thu Oct 20 17:45:47 2016 max relations containing the same ideal: 73
  208. Thu Oct 20 17:46:00 2016 removing 4278397 relations and 2278397 ideals in 2000000 cliques
  209. Thu Oct 20 17:46:02 2016 commencing in-memory singleton removal
  210. Thu Oct 20 17:46:04 2016 begin with 45868931 relations and 32492148 unique ideals
  211. Thu Oct 20 17:46:20 2016 reduce to 45763507 relations and 30105874 ideals in 5 passes
  212. Thu Oct 20 17:46:20 2016 max relations containing the same ideal: 67
  213. Thu Oct 20 17:46:32 2016 removing 4259485 relations and 2259485 ideals in 2000000 cliques
  214. Thu Oct 20 17:46:33 2016 commencing in-memory singleton removal
  215. Thu Oct 20 17:46:36 2016 begin with 41504022 relations and 30105874 unique ideals
  216. Thu Oct 20 17:46:49 2016 reduce to 41391742 relations and 27731314 ideals in 5 passes
  217. Thu Oct 20 17:46:49 2016 max relations containing the same ideal: 66
  218. Thu Oct 20 17:47:00 2016 removing 4240129 relations and 2240129 ideals in 2000000 cliques
  219. Thu Oct 20 17:47:01 2016 commencing in-memory singleton removal
  220. Thu Oct 20 17:47:03 2016 begin with 37151613 relations and 27731314 unique ideals
  221. Thu Oct 20 17:47:16 2016 reduce to 37029391 relations and 25365847 ideals in 5 passes
  222. Thu Oct 20 17:47:16 2016 max relations containing the same ideal: 62
  223. Thu Oct 20 17:47:25 2016 removing 4223054 relations and 2223054 ideals in 2000000 cliques
  224. Thu Oct 20 17:47:26 2016 commencing in-memory singleton removal
  225. Thu Oct 20 17:47:28 2016 begin with 32806337 relations and 25365847 unique ideals
  226. Thu Oct 20 17:47:39 2016 reduce to 32673945 relations and 23006623 ideals in 5 passes
  227. Thu Oct 20 17:47:39 2016 max relations containing the same ideal: 55
  228. Thu Oct 20 17:47:46 2016 removing 4207738 relations and 2207738 ideals in 2000000 cliques
  229. Thu Oct 20 17:47:48 2016 commencing in-memory singleton removal
  230. Thu Oct 20 17:47:49 2016 begin with 28466207 relations and 23006623 unique ideals
  231. Thu Oct 20 17:47:58 2016 reduce to 28318856 relations and 20646913 ideals in 5 passes
  232. Thu Oct 20 17:47:58 2016 max relations containing the same ideal: 51
  233. Thu Oct 20 17:48:05 2016 removing 4194498 relations and 2194498 ideals in 2000000 cliques
  234. Thu Oct 20 17:48:06 2016 commencing in-memory singleton removal
  235. Thu Oct 20 17:48:07 2016 begin with 24124358 relations and 20646913 unique ideals
  236. Thu Oct 20 17:48:15 2016 reduce to 23955869 relations and 18278210 ideals in 5 passes
  237. Thu Oct 20 17:48:15 2016 max relations containing the same ideal: 48
  238. Thu Oct 20 17:48:20 2016 removing 3836654 relations and 2009146 ideals in 1827508 cliques
  239. Thu Oct 20 17:48:21 2016 commencing in-memory singleton removal
  240. Thu Oct 20 17:48:22 2016 begin with 20119215 relations and 18278210 unique ideals
  241. Thu Oct 20 17:48:30 2016 reduce to 19927031 relations and 16069495 ideals in 6 passes
  242. Thu Oct 20 17:48:30 2016 max relations containing the same ideal: 43
  243. Thu Oct 20 17:48:34 2016 removing 2894608 relations and 1544980 ideals in 1349628 cliques
  244. Thu Oct 20 17:48:34 2016 commencing in-memory singleton removal
  245. Thu Oct 20 17:48:35 2016 begin with 17032423 relations and 16069495 unique ideals
  246. Thu Oct 20 17:48:42 2016 reduce to 16793372 relations and 14275158 ideals in 7 passes
  247. Thu Oct 20 17:48:42 2016 max relations containing the same ideal: 37
  248. Thu Oct 20 17:48:46 2016 removing 2111716 relations and 1176958 ideals in 934758 cliques
  249. Thu Oct 20 17:48:47 2016 commencing in-memory singleton removal
  250. Thu Oct 20 17:48:47 2016 begin with 14681656 relations and 14275158 unique ideals
  251. Thu Oct 20 17:48:53 2016 reduce to 14427203 relations and 12831651 ideals in 7 passes
  252. Thu Oct 20 17:48:53 2016 max relations containing the same ideal: 34
  253. Thu Oct 20 17:48:56 2016 removing 57537 relations and 45441 ideals in 12096 cliques
  254. Thu Oct 20 17:48:57 2016 commencing in-memory singleton removal
  255. Thu Oct 20 17:48:57 2016 begin with 14369666 relations and 12831651 unique ideals
  256. Thu Oct 20 17:49:01 2016 reduce to 14369370 relations and 12785912 ideals in 4 passes
  257. Thu Oct 20 17:49:01 2016 max relations containing the same ideal: 34
  258. Thu Oct 20 17:49:02 2016 relations with 0 large ideals: 96884
  259. Thu Oct 20 17:49:02 2016 relations with 1 large ideals: 133771
  260. Thu Oct 20 17:49:02 2016 relations with 2 large ideals: 846324
  261. Thu Oct 20 17:49:02 2016 relations with 3 large ideals: 2376970
  262. Thu Oct 20 17:49:02 2016 relations with 4 large ideals: 3829294
  263. Thu Oct 20 17:49:02 2016 relations with 5 large ideals: 3955998
  264. Thu Oct 20 17:49:02 2016 relations with 6 large ideals: 2099465
  265. Thu Oct 20 17:49:02 2016 relations with 7+ large ideals: 1030664
  266. Thu Oct 20 17:49:02 2016 commencing 2-way merge
  267. Thu Oct 20 17:49:08 2016 reduce to 12429034 relation sets and 10845576 unique ideals
  268. Thu Oct 20 17:49:08 2016 commencing full merge
  269. Thu Oct 20 17:53:28 2016 memory use: 548.3 MB
  270. Thu Oct 20 17:53:28 2016 found 571331 cycles, need 3261720
  271. Thu Oct 20 17:53:28 2016 too few cycles, matrix probably cannot build
  272. Fri Oct 21 09:01:39 2016
  273. Fri Oct 21 09:01:39 2016
  274. Fri Oct 21 09:01:39 2016 Msieve v. 1.53 (SVN 988M)
  275. Fri Oct 21 09:01:39 2016 random seeds: 75d823ec b2dccc7c
  276. Fri Oct 21 09:01:39 2016 factoring 257915803797040882869803568574113489040166623177340452301024818699700925174218015042349851738100548510838633756161712300800213837650958023581012531254376637713312723930979069411 (177 digits)
  277. Fri Oct 21 09:01:40 2016 searching for 15-digit factors
  278. Fri Oct 21 09:01:41 2016 commencing number field sieve (177-digit input)
  279. Fri Oct 21 09:01:41 2016 R0: 37424900799714233724027045150234142768618867083668617
  280. Fri Oct 21 09:01:41 2016 R1: -1
  281. Fri Oct 21 09:01:41 2016 A0: 1
  282. Fri Oct 21 09:01:41 2016 A1: 1
  283. Fri Oct 21 09:01:41 2016 A2: 1
  284. Fri Oct 21 09:01:41 2016 A3: 1
  285. Fri Oct 21 09:01:41 2016 A4: 1
  286. Fri Oct 21 09:01:41 2016 skew 1.00, size 1.913e-21, alpha 1.694, combined = 8.263e-13 rroots = 0
  287. Fri Oct 21 09:01:41 2016
  288. Fri Oct 21 09:01:41 2016 commencing relation filtering
  289. Fri Oct 21 09:01:41 2016 setting target matrix density to 130.0
  290. Fri Oct 21 09:01:41 2016 estimated available RAM is 65536.0 MB
  291. Fri Oct 21 09:01:41 2016 commencing duplicate removal, pass 1
  292. Fri Oct 21 09:21:47 2016 error -9 reading relation 159789881
  293. Fri Oct 21 09:30:43 2016 error -1 reading relation 230759648
  294. Fri Oct 21 09:35:46 2016 error -9 reading relation 270753118
  295. Fri Oct 21 09:35:46 2016 error -5 reading relation 270815246
  296. Fri Oct 21 09:35:48 2016 error -9 reading relation 271111950
  297. Fri Oct 21 09:35:48 2016 error -15 reading relation 271142206
  298. Fri Oct 21 09:35:50 2016 error -9 reading relation 271325606
  299. Fri Oct 21 09:35:51 2016 error -9 reading relation 271465208
  300. Fri Oct 21 09:35:53 2016 error -9 reading relation 271791512
  301. Fri Oct 21 09:35:54 2016 error -9 reading relation 271893409
  302. Fri Oct 21 09:37:16 2016 error -1 reading relation 282688169
  303. Fri Oct 21 09:38:28 2016 error -15 reading relation 292153571
  304. Fri Oct 21 09:38:39 2016 error -9 reading relation 293739273
  305. Fri Oct 21 09:38:46 2016 error -1 reading relation 294686101
  306. Fri Oct 21 09:38:47 2016 error -1 reading relation 294990979
  307. Fri Oct 21 09:38:52 2016 error -15 reading relation 295701812
  308. Fri Oct 21 09:38:54 2016 error -1 reading relation 295852248
  309. Fri Oct 21 09:39:13 2016 error -9 reading relation 298424010
  310. Fri Oct 21 09:39:14 2016 error -9 reading relation 298616881
  311. Fri Oct 21 09:39:14 2016 error -9 reading relation 298649604
  312. Fri Oct 21 09:39:56 2016 skipped 540 relations with b > 2^32
  313. Fri Oct 21 09:39:56 2016 skipped 8 relations with composite factors
  314. Fri Oct 21 09:39:56 2016 found 56393566 hash collisions in 304049203 relations
  315. Fri Oct 21 09:39:56 2016 commencing duplicate removal, pass 2
  316. Fri Oct 21 09:44:32 2016 found 51107825 duplicates and 252941378 unique relations
  317. Fri Oct 21 09:44:32 2016 memory use: 1449.5 MB
  318. Fri Oct 21 09:44:32 2016 reading ideals above 720000
  319. Fri Oct 21 09:44:32 2016 commencing singleton removal, initial pass
  320. Fri Oct 21 10:15:17 2016 memory use: 5512.0 MB
  321. Fri Oct 21 10:15:17 2016 reading all ideals from disk
  322. Fri Oct 21 10:15:22 2016 memory use: 9565.5 MB
  323. Fri Oct 21 10:15:48 2016 keeping 179071379 ideals with weight <= 200, target excess is 1365048
  324. Fri Oct 21 10:16:18 2016 commencing in-memory singleton removal
  325. Fri Oct 21 10:16:35 2016 begin with 252941378 relations and 179071379 unique ideals
  326. Fri Oct 21 10:19:17 2016 reduce to 198179445 relations and 120570037 ideals in 10 passes
  327. Fri Oct 21 10:19:17 2016 max relations containing the same ideal: 179
  328. Fri Oct 21 10:20:23 2016 removing 7629813 relations and 5629813 ideals in 2000000 cliques
  329. Fri Oct 21 10:20:27 2016 commencing in-memory singleton removal
  330. Fri Oct 21 10:20:40 2016 begin with 190549632 relations and 120570037 unique ideals
  331. Fri Oct 21 10:22:08 2016 reduce to 190279304 relations and 114666094 ideals in 6 passes
  332. Fri Oct 21 10:22:08 2016 max relations containing the same ideal: 176
  333. Fri Oct 21 10:23:11 2016 removing 6044257 relations and 4044257 ideals in 2000000 cliques
  334. Fri Oct 21 10:23:15 2016 commencing in-memory singleton removal
  335. Fri Oct 21 10:23:27 2016 begin with 184235047 relations and 114666094 unique ideals
  336. Fri Oct 21 10:24:53 2016 reduce to 184060072 relations and 110444709 ideals in 6 passes
  337. Fri Oct 21 10:24:53 2016 max relations containing the same ideal: 173
  338. Fri Oct 21 10:25:54 2016 removing 5622008 relations and 3622008 ideals in 2000000 cliques
  339. Fri Oct 21 10:25:57 2016 commencing in-memory singleton removal
  340. Fri Oct 21 10:26:09 2016 begin with 178438064 relations and 110444709 unique ideals
  341. Fri Oct 21 10:27:32 2016 reduce to 178295571 relations and 106678520 ideals in 6 passes
  342. Fri Oct 21 10:27:32 2016 max relations containing the same ideal: 170
  343. Fri Oct 21 10:28:31 2016 removing 5398371 relations and 3398371 ideals in 2000000 cliques
  344. Fri Oct 21 10:28:34 2016 commencing in-memory singleton removal
  345. Fri Oct 21 10:28:46 2016 begin with 172897200 relations and 106678520 unique ideals
  346. Fri Oct 21 10:30:06 2016 reduce to 172771774 relations and 103153278 ideals in 6 passes
  347. Fri Oct 21 10:30:06 2016 max relations containing the same ideal: 169
  348. Fri Oct 21 10:31:03 2016 removing 5246093 relations and 3246093 ideals in 2000000 cliques
  349. Fri Oct 21 10:31:06 2016 commencing in-memory singleton removal
  350. Fri Oct 21 10:31:18 2016 begin with 167525681 relations and 103153278 unique ideals
  351. Fri Oct 21 10:32:22 2016 reduce to 167413745 relations and 99793867 ideals in 5 passes
  352. Fri Oct 21 10:32:22 2016 max relations containing the same ideal: 168
  353. Fri Oct 21 10:33:17 2016 removing 5130190 relations and 3130190 ideals in 2000000 cliques
  354. Fri Oct 21 10:33:21 2016 commencing in-memory singleton removal
  355. Fri Oct 21 10:33:32 2016 begin with 162283555 relations and 99793867 unique ideals
  356. Fri Oct 21 10:34:34 2016 reduce to 162179357 relations and 96558165 ideals in 5 passes
  357. Fri Oct 21 10:34:34 2016 max relations containing the same ideal: 167
  358. Fri Oct 21 10:35:27 2016 removing 5041261 relations and 3041261 ideals in 2000000 cliques
  359. Fri Oct 21 10:35:30 2016 commencing in-memory singleton removal
  360. Fri Oct 21 10:35:41 2016 begin with 157138096 relations and 96558165 unique ideals
  361. Fri Oct 21 10:36:53 2016 reduce to 157040418 relations and 93417961 ideals in 6 passes
  362. Fri Oct 21 10:36:53 2016 max relations containing the same ideal: 165
  363. Fri Oct 21 10:37:44 2016 removing 4967834 relations and 2967834 ideals in 2000000 cliques
  364. Fri Oct 21 10:37:47 2016 commencing in-memory singleton removal
  365. Fri Oct 21 10:37:57 2016 begin with 152072584 relations and 93417961 unique ideals
  366. Fri Oct 21 10:38:55 2016 reduce to 151979074 relations and 90355397 ideals in 5 passes
  367. Fri Oct 21 10:38:55 2016 max relations containing the same ideal: 162
  368. Fri Oct 21 10:39:45 2016 removing 4904276 relations and 2904276 ideals in 2000000 cliques
  369. Fri Oct 21 10:39:48 2016 commencing in-memory singleton removal
  370. Fri Oct 21 10:39:58 2016 begin with 147074798 relations and 90355397 unique ideals
  371. Fri Oct 21 10:40:53 2016 reduce to 146985663 relations and 87360733 ideals in 5 passes
  372. Fri Oct 21 10:40:53 2016 max relations containing the same ideal: 157
  373. Fri Oct 21 10:41:42 2016 removing 4850262 relations and 2850262 ideals in 2000000 cliques
  374. Fri Oct 21 10:41:44 2016 commencing in-memory singleton removal
  375. Fri Oct 21 10:41:54 2016 begin with 142135401 relations and 87360733 unique ideals
  376. Fri Oct 21 10:42:47 2016 reduce to 142050050 relations and 84423874 ideals in 5 passes
  377. Fri Oct 21 10:42:47 2016 max relations containing the same ideal: 149
  378. Fri Oct 21 10:43:34 2016 removing 4800641 relations and 2800641 ideals in 2000000 cliques
  379. Fri Oct 21 10:43:37 2016 commencing in-memory singleton removal
  380. Fri Oct 21 10:43:46 2016 begin with 137249409 relations and 84423874 unique ideals
  381. Fri Oct 21 10:44:37 2016 reduce to 137166206 relations and 81538819 ideals in 5 passes
  382. Fri Oct 21 10:44:37 2016 max relations containing the same ideal: 145
  383. Fri Oct 21 10:45:22 2016 removing 4756065 relations and 2756065 ideals in 2000000 cliques
  384. Fri Oct 21 10:45:24 2016 commencing in-memory singleton removal
  385. Fri Oct 21 10:45:33 2016 begin with 132410141 relations and 81538819 unique ideals
  386. Fri Oct 21 10:46:23 2016 reduce to 132328766 relations and 78700174 ideals in 5 passes
  387. Fri Oct 21 10:46:23 2016 max relations containing the same ideal: 143
  388. Fri Oct 21 10:47:06 2016 removing 4716231 relations and 2716231 ideals in 2000000 cliques
  389. Fri Oct 21 10:47:09 2016 commencing in-memory singleton removal
  390. Fri Oct 21 10:47:17 2016 begin with 127612535 relations and 78700174 unique ideals
  391. Fri Oct 21 10:48:05 2016 reduce to 127532676 relations and 75902788 ideals in 5 passes
  392. Fri Oct 21 10:48:05 2016 max relations containing the same ideal: 141
  393. Fri Oct 21 10:48:46 2016 removing 4678975 relations and 2678975 ideals in 2000000 cliques
  394. Fri Oct 21 10:48:48 2016 commencing in-memory singleton removal
  395. Fri Oct 21 10:48:56 2016 begin with 122853701 relations and 75902788 unique ideals
  396. Fri Oct 21 10:49:42 2016 reduce to 122775023 relations and 73143834 ideals in 5 passes
  397. Fri Oct 21 10:49:42 2016 max relations containing the same ideal: 138
  398. Fri Oct 21 10:50:22 2016 removing 4647349 relations and 2647349 ideals in 2000000 cliques
  399. Fri Oct 21 10:50:24 2016 commencing in-memory singleton removal
  400. Fri Oct 21 10:50:32 2016 begin with 118127674 relations and 73143834 unique ideals
  401. Fri Oct 21 10:51:16 2016 reduce to 118049696 relations and 70417217 ideals in 5 passes
  402. Fri Oct 21 10:51:16 2016 max relations containing the same ideal: 134
  403. Fri Oct 21 10:51:53 2016 removing 4617107 relations and 2617107 ideals in 2000000 cliques
  404. Fri Oct 21 10:51:56 2016 commencing in-memory singleton removal
  405. Fri Oct 21 10:52:03 2016 begin with 113432589 relations and 70417217 unique ideals
  406. Fri Oct 21 10:52:45 2016 reduce to 113355876 relations and 67722125 ideals in 5 passes
  407. Fri Oct 21 10:52:45 2016 max relations containing the same ideal: 133
  408. Fri Oct 21 10:53:21 2016 removing 4586064 relations and 2586064 ideals in 2000000 cliques
  409. Fri Oct 21 10:53:23 2016 commencing in-memory singleton removal
  410. Fri Oct 21 10:53:30 2016 begin with 108769812 relations and 67722125 unique ideals
  411. Fri Oct 21 10:54:10 2016 reduce to 108693419 relations and 65058337 ideals in 5 passes
  412. Fri Oct 21 10:54:10 2016 max relations containing the same ideal: 131
  413. Fri Oct 21 10:54:45 2016 removing 4560072 relations and 2560072 ideals in 2000000 cliques
  414. Fri Oct 21 10:54:47 2016 commencing in-memory singleton removal
  415. Fri Oct 21 10:54:54 2016 begin with 104133347 relations and 65058337 unique ideals
  416. Fri Oct 21 10:55:32 2016 reduce to 104057960 relations and 62421546 ideals in 5 passes
  417. Fri Oct 21 10:55:32 2016 max relations containing the same ideal: 128
  418. Fri Oct 21 10:56:04 2016 removing 4532937 relations and 2532937 ideals in 2000000 cliques
  419. Fri Oct 21 10:56:07 2016 commencing in-memory singleton removal
  420. Fri Oct 21 10:56:13 2016 begin with 99525023 relations and 62421546 unique ideals
  421. Fri Oct 21 10:56:49 2016 reduce to 99449235 relations and 59811467 ideals in 5 passes
  422. Fri Oct 21 10:56:49 2016 max relations containing the same ideal: 120
  423. Fri Oct 21 10:57:20 2016 removing 4508202 relations and 2508202 ideals in 2000000 cliques
  424. Fri Oct 21 10:57:22 2016 commencing in-memory singleton removal
  425. Fri Oct 21 10:57:28 2016 begin with 94941033 relations and 59811467 unique ideals
  426. Fri Oct 21 10:58:02 2016 reduce to 94866241 relations and 57227182 ideals in 5 passes
  427. Fri Oct 21 10:58:02 2016 max relations containing the same ideal: 117
  428. Fri Oct 21 10:58:32 2016 removing 4484964 relations and 2484964 ideals in 2000000 cliques
  429. Fri Oct 21 10:58:34 2016 commencing in-memory singleton removal
  430. Fri Oct 21 10:58:40 2016 begin with 90381277 relations and 57227182 unique ideals
  431. Fri Oct 21 10:59:06 2016 reduce to 90305929 relations and 54665511 ideals in 4 passes
  432. Fri Oct 21 10:59:06 2016 max relations containing the same ideal: 115
  433. Fri Oct 21 10:59:33 2016 removing 4461818 relations and 2461818 ideals in 2000000 cliques
  434. Fri Oct 21 10:59:35 2016 commencing in-memory singleton removal
  435. Fri Oct 21 10:59:41 2016 begin with 85844111 relations and 54665511 unique ideals
  436. Fri Oct 21 11:00:12 2016 reduce to 85768460 relations and 52126634 ideals in 5 passes
  437. Fri Oct 21 11:00:12 2016 max relations containing the same ideal: 109
  438. Fri Oct 21 11:00:37 2016 removing 4440322 relations and 2440322 ideals in 2000000 cliques
  439. Fri Oct 21 11:00:39 2016 commencing in-memory singleton removal
  440. Fri Oct 21 11:00:44 2016 begin with 81328138 relations and 52126634 unique ideals
  441. Fri Oct 21 11:01:08 2016 reduce to 81251338 relations and 49608147 ideals in 4 passes
  442. Fri Oct 21 11:01:08 2016 max relations containing the same ideal: 104
  443. Fri Oct 21 11:01:31 2016 removing 4418277 relations and 2418277 ideals in 2000000 cliques
  444. Fri Oct 21 11:01:33 2016 commencing in-memory singleton removal
  445. Fri Oct 21 11:01:38 2016 begin with 76833061 relations and 49608147 unique ideals
  446. Fri Oct 21 11:02:06 2016 reduce to 76754454 relations and 47109847 ideals in 5 passes
  447. Fri Oct 21 11:02:06 2016 max relations containing the same ideal: 100
  448. Fri Oct 21 11:02:28 2016 removing 4396823 relations and 2396823 ideals in 2000000 cliques
  449. Fri Oct 21 11:02:30 2016 commencing in-memory singleton removal
  450. Fri Oct 21 11:02:35 2016 begin with 72357631 relations and 47109847 unique ideals
  451. Fri Oct 21 11:03:00 2016 reduce to 72277802 relations and 44631713 ideals in 5 passes
  452. Fri Oct 21 11:03:00 2016 max relations containing the same ideal: 97
  453. Fri Oct 21 11:03:21 2016 removing 4376289 relations and 2376289 ideals in 2000000 cliques
  454. Fri Oct 21 11:03:23 2016 commencing in-memory singleton removal
  455. Fri Oct 21 11:03:27 2016 begin with 67901513 relations and 44631713 unique ideals
  456. Fri Oct 21 11:03:51 2016 reduce to 67818522 relations and 42170864 ideals in 5 passes
  457. Fri Oct 21 11:03:51 2016 max relations containing the same ideal: 92
  458. Fri Oct 21 11:04:10 2016 removing 4356448 relations and 2356448 ideals in 2000000 cliques
  459. Fri Oct 21 11:04:12 2016 commencing in-memory singleton removal
  460. Fri Oct 21 11:04:16 2016 begin with 63462074 relations and 42170864 unique ideals
  461. Fri Oct 21 11:04:38 2016 reduce to 63376976 relations and 39727646 ideals in 5 passes
  462. Fri Oct 21 11:04:38 2016 max relations containing the same ideal: 86
  463. Fri Oct 21 11:04:56 2016 removing 4334976 relations and 2334976 ideals in 2000000 cliques
  464. Fri Oct 21 11:04:58 2016 commencing in-memory singleton removal
  465. Fri Oct 21 11:05:01 2016 begin with 59042000 relations and 39727646 unique ideals
  466. Fri Oct 21 11:05:18 2016 reduce to 58952264 relations and 37301149 ideals in 4 passes
  467. Fri Oct 21 11:05:18 2016 max relations containing the same ideal: 81
  468. Fri Oct 21 11:05:34 2016 removing 4316584 relations and 2316584 ideals in 2000000 cliques
  469. Fri Oct 21 11:05:36 2016 commencing in-memory singleton removal
  470. Fri Oct 21 11:05:39 2016 begin with 54635680 relations and 37301149 unique ideals
  471. Fri Oct 21 11:05:58 2016 reduce to 54541873 relations and 34888792 ideals in 5 passes
  472. Fri Oct 21 11:05:58 2016 max relations containing the same ideal: 80
  473. Fri Oct 21 11:06:13 2016 removing 4295842 relations and 2295842 ideals in 2000000 cliques
  474. Fri Oct 21 11:06:15 2016 commencing in-memory singleton removal
  475. Fri Oct 21 11:06:18 2016 begin with 50246031 relations and 34888792 unique ideals
  476. Fri Oct 21 11:06:35 2016 reduce to 50147328 relations and 32492148 ideals in 5 passes
  477. Fri Oct 21 11:06:35 2016 max relations containing the same ideal: 73
  478. Fri Oct 21 11:06:48 2016 removing 4278397 relations and 2278397 ideals in 2000000 cliques
  479. Fri Oct 21 11:06:50 2016 commencing in-memory singleton removal
  480. Fri Oct 21 11:06:52 2016 begin with 45868931 relations and 32492148 unique ideals
  481. Fri Oct 21 11:07:08 2016 reduce to 45763507 relations and 30105874 ideals in 5 passes
  482. Fri Oct 21 11:07:08 2016 max relations containing the same ideal: 67
  483. Fri Oct 21 11:07:20 2016 removing 4259485 relations and 2259485 ideals in 2000000 cliques
  484. Fri Oct 21 11:07:21 2016 commencing in-memory singleton removal
  485. Fri Oct 21 11:07:24 2016 begin with 41504022 relations and 30105874 unique ideals
  486. Fri Oct 21 11:07:38 2016 reduce to 41391742 relations and 27731314 ideals in 5 passes
  487. Fri Oct 21 11:07:38 2016 max relations containing the same ideal: 66
  488. Fri Oct 21 11:07:48 2016 removing 4240129 relations and 2240129 ideals in 2000000 cliques
  489. Fri Oct 21 11:07:50 2016 commencing in-memory singleton removal
  490. Fri Oct 21 11:07:52 2016 begin with 37151613 relations and 27731314 unique ideals
  491. Fri Oct 21 11:08:04 2016 reduce to 37029391 relations and 25365847 ideals in 5 passes
  492. Fri Oct 21 11:08:04 2016 max relations containing the same ideal: 62
  493. Fri Oct 21 11:08:13 2016 removing 4223054 relations and 2223054 ideals in 2000000 cliques
  494. Fri Oct 21 11:08:14 2016 commencing in-memory singleton removal
  495. Fri Oct 21 11:08:16 2016 begin with 32806337 relations and 25365847 unique ideals
  496. Fri Oct 21 11:08:27 2016 reduce to 32673945 relations and 23006623 ideals in 5 passes
  497. Fri Oct 21 11:08:27 2016 max relations containing the same ideal: 55
  498. Fri Oct 21 11:08:35 2016 removing 4207738 relations and 2207738 ideals in 2000000 cliques
  499. Fri Oct 21 11:08:36 2016 commencing in-memory singleton removal
  500. Fri Oct 21 11:08:38 2016 begin with 28466207 relations and 23006623 unique ideals
  501. Fri Oct 21 11:08:47 2016 reduce to 28318856 relations and 20646913 ideals in 5 passes
  502. Fri Oct 21 11:08:47 2016 max relations containing the same ideal: 51
  503. Fri Oct 21 11:08:53 2016 removing 4194498 relations and 2194498 ideals in 2000000 cliques
  504. Fri Oct 21 11:08:55 2016 commencing in-memory singleton removal
  505. Fri Oct 21 11:08:56 2016 begin with 24124358 relations and 20646913 unique ideals
  506. Fri Oct 21 11:09:03 2016 reduce to 23955869 relations and 18278210 ideals in 5 passes
  507. Fri Oct 21 11:09:03 2016 max relations containing the same ideal: 48
  508. Fri Oct 21 11:09:08 2016 removing 3836654 relations and 2009146 ideals in 1827508 cliques
  509. Fri Oct 21 11:09:10 2016 commencing in-memory singleton removal
  510. Fri Oct 21 11:09:11 2016 begin with 20119215 relations and 18278210 unique ideals
  511. Fri Oct 21 11:09:18 2016 reduce to 19927031 relations and 16069495 ideals in 6 passes
  512. Fri Oct 21 11:09:18 2016 max relations containing the same ideal: 43
  513. Fri Oct 21 11:09:22 2016 removing 2894608 relations and 1544980 ideals in 1349628 cliques
  514. Fri Oct 21 11:09:23 2016 commencing in-memory singleton removal
  515. Fri Oct 21 11:09:24 2016 begin with 17032423 relations and 16069495 unique ideals
  516. Fri Oct 21 11:09:31 2016 reduce to 16793372 relations and 14275158 ideals in 7 passes
  517. Fri Oct 21 11:09:31 2016 max relations containing the same ideal: 37
  518. Fri Oct 21 11:09:35 2016 removing 2111716 relations and 1176958 ideals in 934758 cliques
  519. Fri Oct 21 11:09:35 2016 commencing in-memory singleton removal
  520. Fri Oct 21 11:09:36 2016 begin with 14681656 relations and 14275158 unique ideals
  521. Fri Oct 21 11:09:42 2016 reduce to 14427203 relations and 12831651 ideals in 7 passes
  522. Fri Oct 21 11:09:42 2016 max relations containing the same ideal: 34
  523. Fri Oct 21 11:09:45 2016 removing 57537 relations and 45441 ideals in 12096 cliques
  524. Fri Oct 21 11:09:46 2016 commencing in-memory singleton removal
  525. Fri Oct 21 11:09:46 2016 begin with 14369666 relations and 12831651 unique ideals
  526. Fri Oct 21 11:09:50 2016 reduce to 14369370 relations and 12785912 ideals in 4 passes
  527. Fri Oct 21 11:09:50 2016 max relations containing the same ideal: 34
  528. Fri Oct 21 11:09:51 2016 relations with 0 large ideals: 96884
  529. Fri Oct 21 11:09:51 2016 relations with 1 large ideals: 133771
  530. Fri Oct 21 11:09:51 2016 relations with 2 large ideals: 846324
  531. Fri Oct 21 11:09:51 2016 relations with 3 large ideals: 2376970
  532. Fri Oct 21 11:09:51 2016 relations with 4 large ideals: 3829294
  533. Fri Oct 21 11:09:51 2016 relations with 5 large ideals: 3955998
  534. Fri Oct 21 11:09:51 2016 relations with 6 large ideals: 2099465
  535. Fri Oct 21 11:09:51 2016 relations with 7+ large ideals: 1030664
  536. Fri Oct 21 11:09:51 2016 commencing 2-way merge
  537. Fri Oct 21 11:09:57 2016 reduce to 12429034 relation sets and 10845576 unique ideals
  538. Fri Oct 21 11:09:57 2016 commencing full merge
  539. Fri Oct 21 11:13:00 2016 memory use: 1079.6 MB
  540. Fri Oct 21 11:13:01 2016 found 4786679 cycles, need 4741776
  541. Fri Oct 21 11:13:02 2016 weight of 4741776 cycles is about 617300803 (130.18/cycle)
  542. Fri Oct 21 11:13:02 2016 distribution of cycle lengths:
  543. Fri Oct 21 11:13:02 2016 1 relations: 162300
  544. Fri Oct 21 11:13:02 2016 2 relations: 202249
  545. Fri Oct 21 11:13:02 2016 3 relations: 276735
  546. Fri Oct 21 11:13:02 2016 4 relations: 310928
  547. Fri Oct 21 11:13:02 2016 5 relations: 330202
  548. Fri Oct 21 11:13:02 2016 6 relations: 331556
  549. Fri Oct 21 11:13:02 2016 7 relations: 324977
  550. Fri Oct 21 11:13:02 2016 8 relations: 310164
  551. Fri Oct 21 11:13:02 2016 9 relations: 293103
  552. Fri Oct 21 11:13:02 2016 10+ relations: 2199562
  553. Fri Oct 21 11:13:02 2016 heaviest cycle: 28 relations
  554. Fri Oct 21 11:13:03 2016 commencing cycle optimization
  555. Fri Oct 21 11:13:14 2016 start with 47465788 relations
  556. Fri Oct 21 11:15:27 2016 pruned 4284701 relations
  557. Fri Oct 21 11:15:27 2016 memory use: 1055.7 MB
  558. Fri Oct 21 11:15:27 2016 distribution of cycle lengths:
  559. Fri Oct 21 11:15:27 2016 1 relations: 162300
  560. Fri Oct 21 11:15:27 2016 2 relations: 211945
  561. Fri Oct 21 11:15:27 2016 3 relations: 298595
  562. Fri Oct 21 11:15:27 2016 4 relations: 339709
  563. Fri Oct 21 11:15:27 2016 5 relations: 367221
  564. Fri Oct 21 11:15:27 2016 6 relations: 370029
  565. Fri Oct 21 11:15:27 2016 7 relations: 363944
  566. Fri Oct 21 11:15:27 2016 8 relations: 345574
  567. Fri Oct 21 11:15:27 2016 9 relations: 323362
  568. Fri Oct 21 11:15:27 2016 10+ relations: 1959097
  569. Fri Oct 21 11:15:27 2016 heaviest cycle: 28 relations
  570. Fri Oct 21 11:15:35 2016 RelProcTime: 8034
  571. Fri Oct 21 11:15:35 2016
  572. Fri Oct 21 11:15:35 2016 commencing linear algebra
  573. Fri Oct 21 11:15:36 2016 read 4741776 cycles
  574. Fri Oct 21 11:15:46 2016 cycles contain 13793155 unique relations
  575. Fri Oct 21 11:19:56 2016 read 13793155 relations
  576. Fri Oct 21 11:20:23 2016 using 20 quadratic characters above 4294917295
  577. Fri Oct 21 11:21:13 2016 building initial matrix
  578. Fri Oct 21 11:23:57 2016 memory use: 1746.4 MB
  579. Fri Oct 21 11:24:02 2016 read 4741776 cycles
  580. Fri Oct 21 11:24:02 2016 matrix is 4741596 x 4741776 (2265.2 MB) with weight 648865322 (136.84/col)
  581. Fri Oct 21 11:24:02 2016 sparse part has weight 541654756 (114.23/col)
  582. Fri Oct 21 11:25:03 2016 filtering completed in 2 passes
  583. Fri Oct 21 11:25:04 2016 matrix is 4741318 x 4741498 (2265.2 MB) with weight 648851626 (136.85/col)
  584. Fri Oct 21 11:25:04 2016 sparse part has weight 541647537 (114.24/col)
  585. Fri Oct 21 11:25:20 2016 matrix starts at (0, 0)
  586. Fri Oct 21 11:25:21 2016 matrix is 4741318 x 4741498 (2265.2 MB) with weight 648851626 (136.85/col)
  587. Fri Oct 21 11:25:21 2016 sparse part has weight 541647537 (114.24/col)
  588. Fri Oct 21 11:25:21 2016 saving the first 48 matrix rows for later
  589. Fri Oct 21 11:25:22 2016 matrix includes 64 packed rows
  590. Fri Oct 21 11:25:22 2016 matrix is 4741270 x 4741498 (2168.1 MB) with weight 559665009 (118.04/col)
  591. Fri Oct 21 11:25:22 2016 sparse part has weight 520948280 (109.87/col)
  592. Fri Oct 21 11:25:22 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  593. Fri Oct 21 11:25:49 2016 commencing Lanczos iteration (6 threads)
  594. Fri Oct 21 11:25:49 2016 memory use: 1828.2 MB
  595. Fri Oct 21 11:26:01 2016 linear algebra at 0.0%, ETA 9h30m
  596. Fri Oct 21 11:26:04 2016 checkpointing every 530000 dimensions
  597. Fri Oct 21 20:58:19 2016 lanczos halted after 74979 iterations (dim = 4741266)
  598. Fri Oct 21 20:58:22 2016 recovered 36 nontrivial dependencies
  599. Fri Oct 21 20:58:23 2016 BLanczosTime: 34968
  600. Fri Oct 21 20:58:23 2016
  601. Fri Oct 21 20:58:23 2016 commencing square root phase
  602. Fri Oct 21 20:58:23 2016 handling dependencies 1 to 64
  603. Fri Oct 21 20:58:23 2016 reading relations for dependency 1
  604. Fri Oct 21 20:58:24 2016 read 2372446 cycles
  605. Fri Oct 21 20:58:28 2016 cycles contain 6901626 unique relations
  606. Fri Oct 21 21:02:06 2016 read 6901626 relations
  607. Fri Oct 21 21:02:32 2016 multiplying 6901626 relations
  608. Fri Oct 21 21:04:40 2016 multiply complete, coefficients have about 174.77 million bits
  609. Fri Oct 21 21:04:40 2016 initial square root is modulo 1870433
  610. Fri Oct 21 21:06:53 2016 sqrtTime: 510
  611. Fri Oct 21 21:06:53 2016 p66 factor: 155809466378346344474489514585477357109215470690393031409529241031
  612. Fri Oct 21 21:06:53 2016 p112 factor: 1655328201758637108921822330478338079006381056786741781704502330277994340225246233935008619014882029422477278981
  613. Fri Oct 21 21:06:53 2016 elapsed time 12:05:14
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