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  1. Fri Mar 31 10:41:39 2017
  2. Fri Mar 31 10:41:39 2017
  3. Fri Mar 31 10:41:39 2017 Msieve v. 1.53 (SVN 993)
  4. Fri Mar 31 10:41:39 2017 random seeds: be3e8e5d 60c31483
  5. Fri Mar 31 10:41:39 2017 factoring 1688811213159806296548924717594703107977199607032703598294355996437176476446007212379813429403155525325585423188839543204234776534691378603889075984115616771035076630210673846799 (178 digits)
  6. Fri Mar 31 10:41:40 2017 no P-1/P+1/ECM available, skipping
  7. Fri Mar 31 10:41:40 2017 commencing number field sieve (178-digit input)
  8. Fri Mar 31 10:41:40 2017 R0: 6543345135907302614932598240709151
  9. Fri Mar 31 10:41:40 2017 R1: -1
  10. Fri Mar 31 10:41:40 2017 A0: -1
  11. Fri Mar 31 10:41:40 2017 A1: 0
  12. Fri Mar 31 10:41:40 2017 A2: 0
  13. Fri Mar 31 10:41:40 2017 A3: 0
  14. Fri Mar 31 10:41:40 2017 A4: 0
  15. Fri Mar 31 10:41:40 2017 A5: 0
  16. Fri Mar 31 10:41:40 2017 A6: 187039475551
  17. Fri Mar 31 10:41:40 2017 skew 0.01, size 1.472e-11, alpha -0.526, combined = 8.575e-13 rroots = 2
  18. Fri Mar 31 10:41:40 2017
  19. Fri Mar 31 10:41:40 2017 commencing relation filtering
  20. Fri Mar 31 10:41:40 2017 setting target matrix density to 120.0
  21. Fri Mar 31 10:41:40 2017 estimated available RAM is 32091.8 MB
  22. Fri Mar 31 10:41:40 2017 commencing duplicate removal, pass 1
  23. Fri Mar 31 11:04:49 2017 error -1 reading relation 148947839
  24. Fri Mar 31 11:06:22 2017 error -5 reading relation 158954170
  25. Fri Mar 31 11:06:44 2017 error -1 reading relation 161323953
  26. Fri Mar 31 11:07:11 2017 error -15 reading relation 164383736
  27. Fri Mar 31 11:07:55 2017 error -5 reading relation 169205572
  28. Fri Mar 31 11:09:34 2017 error -15 reading relation 179828287
  29. Fri Mar 31 11:12:08 2017 error -15 reading relation 196717418
  30. Fri Mar 31 11:12:12 2017 error -1 reading relation 197119475
  31. Fri Mar 31 11:14:21 2017 error -5 reading relation 211135965
  32. Fri Mar 31 11:16:17 2017 error -5 reading relation 223789705
  33. Fri Mar 31 11:17:09 2017 error -9 reading relation 229541379
  34. Fri Mar 31 11:17:19 2017 error -15 reading relation 230640333
  35. Fri Mar 31 11:17:20 2017 error -15 reading relation 230684647
  36. Fri Mar 31 11:17:39 2017 error -15 reading relation 232798304
  37. Fri Mar 31 11:18:48 2017 error -1 reading relation 240446516
  38. Fri Mar 31 11:19:16 2017 error -9 reading relation 243453000
  39. Fri Mar 31 11:19:41 2017 error -15 reading relation 246117092
  40. Fri Mar 31 11:19:53 2017 error -9 reading relation 247422014
  41. Fri Mar 31 11:19:53 2017 error -9 reading relation 247428736
  42. Fri Mar 31 11:19:53 2017 error -9 reading relation 247458280
  43. Fri Mar 31 11:20:12 2017 error -15 reading relation 249509090
  44. Fri Mar 31 11:20:48 2017 error -9 reading relation 253528873
  45. Fri Mar 31 11:20:51 2017 skipped 29205 relations with b > 2^32
  46. Fri Mar 31 11:20:51 2017 skipped 7 relations with composite factors
  47. Fri Mar 31 11:20:51 2017 found 43660308 hash collisions in 253851230 relations
  48. Fri Mar 31 11:21:11 2017 added 1217895 free relations
  49. Fri Mar 31 11:21:11 2017 commencing duplicate removal, pass 2
  50. Fri Mar 31 11:24:27 2017 found 39460223 duplicates and 215608902 unique relations
  51. Fri Mar 31 11:24:27 2017 memory use: 1321.5 MB
  52. Fri Mar 31 11:24:27 2017 reading ideals above 99942400
  53. Fri Mar 31 11:24:27 2017 commencing singleton removal, initial pass
  54. Fri Mar 31 11:51:34 2017 memory use: 5512.0 MB
  55. Fri Mar 31 11:51:35 2017 reading all ideals from disk
  56. Fri Mar 31 11:52:00 2017 memory use: 3776.4 MB
  57. Fri Mar 31 11:52:16 2017 commencing in-memory singleton removal
  58. Fri Mar 31 11:52:30 2017 begin with 215608902 relations and 166359416 unique ideals
  59. Fri Mar 31 11:55:02 2017 reduce to 152773515 relations and 97991441 ideals in 12 passes
  60. Fri Mar 31 11:55:02 2017 max relations containing the same ideal: 67
  61. Fri Mar 31 11:55:14 2017 reading ideals above 720000
  62. Fri Mar 31 11:55:14 2017 commencing singleton removal, initial pass
  63. Fri Mar 31 12:21:07 2017 memory use: 3012.0 MB
  64. Fri Mar 31 12:21:08 2017 reading all ideals from disk
  65. Fri Mar 31 12:21:38 2017 memory use: 5815.6 MB
  66. Fri Mar 31 12:22:06 2017 keeping 108730442 ideals with weight <= 200, target excess is 774775
  67. Fri Mar 31 12:22:34 2017 commencing in-memory singleton removal
  68. Fri Mar 31 12:22:51 2017 begin with 152773515 relations and 108730442 unique ideals
  69. Fri Mar 31 12:23:31 2017 reduce to 152773514 relations and 108730441 ideals in 2 passes
  70. Fri Mar 31 12:23:31 2017 max relations containing the same ideal: 200
  71. Fri Mar 31 12:25:09 2017 removing 9361238 relations and 7361238 ideals in 2000000 cliques
  72. Fri Mar 31 12:25:13 2017 commencing in-memory singleton removal
  73. Fri Mar 31 12:25:30 2017 begin with 143412276 relations and 108730441 unique ideals
  74. Fri Mar 31 12:27:44 2017 reduce to 142971339 relations and 100920757 ideals in 7 passes
  75. Fri Mar 31 12:27:44 2017 max relations containing the same ideal: 199
  76. Fri Mar 31 12:29:13 2017 removing 7157520 relations and 5157520 ideals in 2000000 cliques
  77. Fri Mar 31 12:29:18 2017 commencing in-memory singleton removal
  78. Fri Mar 31 12:29:32 2017 begin with 135813819 relations and 100920757 unique ideals
  79. Fri Mar 31 12:31:20 2017 reduce to 135518041 relations and 95463126 ideals in 7 passes
  80. Fri Mar 31 12:31:20 2017 max relations containing the same ideal: 194
  81. Fri Mar 31 12:32:41 2017 removing 6541209 relations and 4541209 ideals in 2000000 cliques
  82. Fri Mar 31 12:32:46 2017 commencing in-memory singleton removal
  83. Fri Mar 31 12:32:59 2017 begin with 128976832 relations and 95463126 unique ideals
  84. Fri Mar 31 12:34:31 2017 reduce to 128725517 relations and 90666958 ideals in 6 passes
  85. Fri Mar 31 12:34:31 2017 max relations containing the same ideal: 190
  86. Fri Mar 31 12:35:45 2017 removing 6211792 relations and 4211792 ideals in 2000000 cliques
  87. Fri Mar 31 12:35:49 2017 commencing in-memory singleton removal
  88. Fri Mar 31 12:36:02 2017 begin with 122513725 relations and 90666958 unique ideals
  89. Fri Mar 31 12:37:29 2017 reduce to 122284634 relations and 86222663 ideals in 6 passes
  90. Fri Mar 31 12:37:29 2017 max relations containing the same ideal: 183
  91. Fri Mar 31 12:38:42 2017 removing 5999792 relations and 3999792 ideals in 2000000 cliques
  92. Fri Mar 31 12:38:46 2017 commencing in-memory singleton removal
  93. Fri Mar 31 12:38:57 2017 begin with 116284842 relations and 86222663 unique ideals
  94. Fri Mar 31 12:40:09 2017 reduce to 116069254 relations and 82003869 ideals in 6 passes
  95. Fri Mar 31 12:40:09 2017 max relations containing the same ideal: 178
  96. Fri Mar 31 12:41:12 2017 removing 5848539 relations and 3848539 ideals in 2000000 cliques
  97. Fri Mar 31 12:41:15 2017 commencing in-memory singleton removal
  98. Fri Mar 31 12:41:25 2017 begin with 110220715 relations and 82003869 unique ideals
  99. Fri Mar 31 12:42:32 2017 reduce to 110013011 relations and 77944307 ideals in 6 passes
  100. Fri Mar 31 12:42:32 2017 max relations containing the same ideal: 173
  101. Fri Mar 31 12:43:35 2017 removing 5735849 relations and 3735849 ideals in 2000000 cliques
  102. Fri Mar 31 12:43:39 2017 commencing in-memory singleton removal
  103. Fri Mar 31 12:43:48 2017 begin with 104277162 relations and 77944307 unique ideals
  104. Fri Mar 31 12:44:47 2017 reduce to 104073532 relations and 74001319 ideals in 6 passes
  105. Fri Mar 31 12:44:47 2017 max relations containing the same ideal: 168
  106. Fri Mar 31 12:45:43 2017 removing 5643241 relations and 3643241 ideals in 2000000 cliques
  107. Fri Mar 31 12:45:46 2017 commencing in-memory singleton removal
  108. Fri Mar 31 12:45:55 2017 begin with 98430291 relations and 74001319 unique ideals
  109. Fri Mar 31 12:46:51 2017 reduce to 98227624 relations and 70151719 ideals in 6 passes
  110. Fri Mar 31 12:46:51 2017 max relations containing the same ideal: 159
  111. Fri Mar 31 12:47:46 2017 removing 5571919 relations and 3571919 ideals in 2000000 cliques
  112. Fri Mar 31 12:47:49 2017 commencing in-memory singleton removal
  113. Fri Mar 31 12:47:58 2017 begin with 92655705 relations and 70151719 unique ideals
  114. Fri Mar 31 12:48:50 2017 reduce to 92452469 relations and 66372598 ideals in 6 passes
  115. Fri Mar 31 12:48:50 2017 max relations containing the same ideal: 151
  116. Fri Mar 31 12:49:38 2017 removing 5516688 relations and 3516688 ideals in 2000000 cliques
  117. Fri Mar 31 12:49:41 2017 commencing in-memory singleton removal
  118. Fri Mar 31 12:49:48 2017 begin with 86935781 relations and 66372598 unique ideals
  119. Fri Mar 31 12:50:37 2017 reduce to 86730370 relations and 62646224 ideals in 6 passes
  120. Fri Mar 31 12:50:37 2017 max relations containing the same ideal: 145
  121. Fri Mar 31 12:51:24 2017 removing 5468805 relations and 3468805 ideals in 2000000 cliques
  122. Fri Mar 31 12:51:27 2017 commencing in-memory singleton removal
  123. Fri Mar 31 12:51:34 2017 begin with 81261565 relations and 62646224 unique ideals
  124. Fri Mar 31 12:52:17 2017 reduce to 81049304 relations and 58960591 ideals in 6 passes
  125. Fri Mar 31 12:52:17 2017 max relations containing the same ideal: 138
  126. Fri Mar 31 12:52:59 2017 removing 5430347 relations and 3430347 ideals in 2000000 cliques
  127. Fri Mar 31 12:53:02 2017 commencing in-memory singleton removal
  128. Fri Mar 31 12:53:09 2017 begin with 75618957 relations and 58960591 unique ideals
  129. Fri Mar 31 12:53:51 2017 reduce to 75399175 relations and 55305506 ideals in 6 passes
  130. Fri Mar 31 12:53:51 2017 max relations containing the same ideal: 135
  131. Fri Mar 31 12:54:33 2017 removing 5406647 relations and 3406647 ideals in 2000000 cliques
  132. Fri Mar 31 12:54:36 2017 commencing in-memory singleton removal
  133. Fri Mar 31 12:54:41 2017 begin with 69992528 relations and 55305506 unique ideals
  134. Fri Mar 31 12:55:19 2017 reduce to 69762295 relations and 51663087 ideals in 6 passes
  135. Fri Mar 31 12:55:19 2017 max relations containing the same ideal: 127
  136. Fri Mar 31 12:55:57 2017 removing 5386416 relations and 3386416 ideals in 2000000 cliques
  137. Fri Mar 31 12:56:00 2017 commencing in-memory singleton removal
  138. Fri Mar 31 12:56:05 2017 begin with 64375879 relations and 51663087 unique ideals
  139. Fri Mar 31 12:56:44 2017 reduce to 64131885 relations and 48026421 ideals in 7 passes
  140. Fri Mar 31 12:56:44 2017 max relations containing the same ideal: 117
  141. Fri Mar 31 12:57:17 2017 removing 5376039 relations and 3376039 ideals in 2000000 cliques
  142. Fri Mar 31 12:57:20 2017 commencing in-memory singleton removal
  143. Fri Mar 31 12:57:24 2017 begin with 58755846 relations and 48026421 unique ideals
  144. Fri Mar 31 12:58:00 2017 reduce to 58494724 relations and 44381969 ideals in 7 passes
  145. Fri Mar 31 12:58:00 2017 max relations containing the same ideal: 111
  146. Fri Mar 31 12:58:30 2017 removing 5373641 relations and 3373641 ideals in 2000000 cliques
  147. Fri Mar 31 12:58:33 2017 commencing in-memory singleton removal
  148. Fri Mar 31 12:58:37 2017 begin with 53121083 relations and 44381969 unique ideals
  149. Fri Mar 31 12:59:06 2017 reduce to 52838306 relations and 40716920 ideals in 6 passes
  150. Fri Mar 31 12:59:06 2017 max relations containing the same ideal: 106
  151. Fri Mar 31 12:59:33 2017 removing 5381641 relations and 3381641 ideals in 2000000 cliques
  152. Fri Mar 31 12:59:36 2017 commencing in-memory singleton removal
  153. Fri Mar 31 12:59:40 2017 begin with 47456665 relations and 40716920 unique ideals
  154. Fri Mar 31 13:00:04 2017 reduce to 47145434 relations and 37014049 ideals in 6 passes
  155. Fri Mar 31 13:00:04 2017 max relations containing the same ideal: 99
  156. Fri Mar 31 13:00:29 2017 removing 5397375 relations and 3397375 ideals in 2000000 cliques
  157. Fri Mar 31 13:00:31 2017 commencing in-memory singleton removal
  158. Fri Mar 31 13:00:35 2017 begin with 41748059 relations and 37014049 unique ideals
  159. Fri Mar 31 13:00:56 2017 reduce to 41399101 relations and 33255243 ideals in 6 passes
  160. Fri Mar 31 13:00:56 2017 max relations containing the same ideal: 90
  161. Fri Mar 31 13:01:18 2017 removing 5422088 relations and 3422088 ideals in 2000000 cliques
  162. Fri Mar 31 13:01:21 2017 commencing in-memory singleton removal
  163. Fri Mar 31 13:01:23 2017 begin with 35977013 relations and 33255243 unique ideals
  164. Fri Mar 31 13:01:42 2017 reduce to 35577618 relations and 29417689 ideals in 6 passes
  165. Fri Mar 31 13:01:42 2017 max relations containing the same ideal: 83
  166. Fri Mar 31 13:02:03 2017 removing 5457654 relations and 3457654 ideals in 2000000 cliques
  167. Fri Mar 31 13:02:05 2017 commencing in-memory singleton removal
  168. Fri Mar 31 13:02:08 2017 begin with 30119964 relations and 29417689 unique ideals
  169. Fri Mar 31 13:02:27 2017 reduce to 29652325 relations and 25470674 ideals in 7 passes
  170. Fri Mar 31 13:02:27 2017 max relations containing the same ideal: 70
  171. Fri Mar 31 13:02:45 2017 removing 5500880 relations and 3500880 ideals in 2000000 cliques
  172. Fri Mar 31 13:02:47 2017 commencing in-memory singleton removal
  173. Fri Mar 31 13:02:49 2017 begin with 24151445 relations and 25470674 unique ideals
  174. Fri Mar 31 13:03:04 2017 reduce to 23577432 relations and 21363677 ideals in 7 passes
  175. Fri Mar 31 13:03:04 2017 max relations containing the same ideal: 61
  176. Fri Mar 31 13:03:17 2017 removing 3889740 relations and 2574724 ideals in 1315016 cliques
  177. Fri Mar 31 13:03:19 2017 commencing in-memory singleton removal
  178. Fri Mar 31 13:03:21 2017 begin with 19687692 relations and 21363677 unique ideals
  179. Fri Mar 31 13:03:34 2017 reduce to 19264961 relations and 18345478 ideals in 8 passes
  180. Fri Mar 31 13:03:34 2017 max relations containing the same ideal: 55
  181. Fri Mar 31 13:03:45 2017 removing 119928 relations and 99184 ideals in 20744 cliques
  182. Fri Mar 31 13:03:46 2017 commencing in-memory singleton removal
  183. Fri Mar 31 13:03:47 2017 begin with 19145033 relations and 18345478 unique ideals
  184. Fri Mar 31 13:03:55 2017 reduce to 19144420 relations and 18245679 ideals in 5 passes
  185. Fri Mar 31 13:03:55 2017 max relations containing the same ideal: 55
  186. Fri Mar 31 13:03:59 2017 relations with 0 large ideals: 29486
  187. Fri Mar 31 13:03:59 2017 relations with 1 large ideals: 23098
  188. Fri Mar 31 13:03:59 2017 relations with 2 large ideals: 277805
  189. Fri Mar 31 13:03:59 2017 relations with 3 large ideals: 1373118
  190. Fri Mar 31 13:03:59 2017 relations with 4 large ideals: 3495272
  191. Fri Mar 31 13:03:59 2017 relations with 5 large ideals: 5147905
  192. Fri Mar 31 13:03:59 2017 relations with 6 large ideals: 4639744
  193. Fri Mar 31 13:03:59 2017 relations with 7+ large ideals: 4157992
  194. Fri Mar 31 13:03:59 2017 commencing 2-way merge
  195. Fri Mar 31 13:04:10 2017 reduce to 12876571 relation sets and 11977829 unique ideals
  196. Fri Mar 31 13:04:10 2017 commencing full merge
  197. Fri Mar 31 13:09:57 2017 memory use: 1568.4 MB
  198. Fri Mar 31 13:09:58 2017 found 5817945 cycles, need 5750029
  199. Fri Mar 31 13:10:01 2017 weight of 5750029 cycles is about 690175916 (120.03/cycle)
  200. Fri Mar 31 13:10:01 2017 distribution of cycle lengths:
  201. Fri Mar 31 13:10:01 2017 1 relations: 169166
  202. Fri Mar 31 13:10:01 2017 2 relations: 281808
  203. Fri Mar 31 13:10:01 2017 3 relations: 359217
  204. Fri Mar 31 13:10:01 2017 4 relations: 397500
  205. Fri Mar 31 13:10:01 2017 5 relations: 430157
  206. Fri Mar 31 13:10:01 2017 6 relations: 441533
  207. Fri Mar 31 13:10:01 2017 7 relations: 439603
  208. Fri Mar 31 13:10:01 2017 8 relations: 425506
  209. Fri Mar 31 13:10:01 2017 9 relations: 402438
  210. Fri Mar 31 13:10:01 2017 10+ relations: 2403101
  211. Fri Mar 31 13:10:01 2017 heaviest cycle: 28 relations
  212. Fri Mar 31 13:10:04 2017 commencing cycle optimization
  213. Fri Mar 31 13:10:20 2017 start with 52495556 relations
  214. Fri Mar 31 13:12:49 2017 pruned 2798901 relations
  215. Fri Mar 31 13:12:49 2017 memory use: 1331.1 MB
  216. Fri Mar 31 13:12:49 2017 distribution of cycle lengths:
  217. Fri Mar 31 13:12:49 2017 1 relations: 169166
  218. Fri Mar 31 13:12:49 2017 2 relations: 289155
  219. Fri Mar 31 13:12:49 2017 3 relations: 375671
  220. Fri Mar 31 13:12:49 2017 4 relations: 417351
  221. Fri Mar 31 13:12:49 2017 5 relations: 456245
  222. Fri Mar 31 13:12:49 2017 6 relations: 469528
  223. Fri Mar 31 13:12:49 2017 7 relations: 469622
  224. Fri Mar 31 13:12:49 2017 8 relations: 453895
  225. Fri Mar 31 13:12:49 2017 9 relations: 427291
  226. Fri Mar 31 13:12:49 2017 10+ relations: 2222105
  227. Fri Mar 31 13:12:49 2017 heaviest cycle: 28 relations
  228. Fri Mar 31 13:13:03 2017 RelProcTime: 9083
  229. Fri Mar 31 13:13:03 2017 elapsed time 02:31:24
  230. Fri Mar 31 13:16:21 2017
  231. Fri Mar 31 13:16:21 2017
  232. Fri Mar 31 13:16:21 2017 Msieve v. 1.53 (SVN 993)
  233. Fri Mar 31 13:16:21 2017 random seeds: 0a574f6e 8105f469
  234. Fri Mar 31 13:16:21 2017 factoring 1688811213159806296548924717594703107977199607032703598294355996437176476446007212379813429403155525325585423188839543204234776534691378603889075984115616771035076630210673846799 (178 digits)
  235. Fri Mar 31 13:16:22 2017 no P-1/P+1/ECM available, skipping
  236. Fri Mar 31 13:16:22 2017 commencing number field sieve (178-digit input)
  237. Fri Mar 31 13:16:22 2017 R0: 6543345135907302614932598240709151
  238. Fri Mar 31 13:16:22 2017 R1: -1
  239. Fri Mar 31 13:16:22 2017 A0: -1
  240. Fri Mar 31 13:16:22 2017 A1: 0
  241. Fri Mar 31 13:16:22 2017 A2: 0
  242. Fri Mar 31 13:16:22 2017 A3: 0
  243. Fri Mar 31 13:16:22 2017 A4: 0
  244. Fri Mar 31 13:16:22 2017 A5: 0
  245. Fri Mar 31 13:16:22 2017 A6: 187039475551
  246. Fri Mar 31 13:16:22 2017 skew 0.01, size 1.472e-11, alpha -0.526, combined = 8.575e-13 rroots = 2
  247. Fri Mar 31 13:16:22 2017
  248. Fri Mar 31 13:16:22 2017 commencing relation filtering
  249. Fri Mar 31 13:16:22 2017 setting target matrix density to 140.0
  250. Fri Mar 31 13:16:22 2017 estimated available RAM is 32091.8 MB
  251. Fri Mar 31 13:16:22 2017 commencing duplicate removal, pass 1
  252. Fri Mar 31 13:39:55 2017 error -1 reading relation 148947839
  253. Fri Mar 31 13:41:25 2017 error -5 reading relation 158954170
  254. Fri Mar 31 13:41:47 2017 error -1 reading relation 161323953
  255. Fri Mar 31 13:42:16 2017 error -15 reading relation 164383736
  256. Fri Mar 31 13:43:06 2017 error -5 reading relation 169205572
  257. Fri Mar 31 13:45:01 2017 error -15 reading relation 179828287
  258. Fri Mar 31 13:48:11 2017 error -15 reading relation 196717418
  259. Fri Mar 31 13:48:16 2017 error -1 reading relation 197119475
  260. Fri Mar 31 13:50:58 2017 error -5 reading relation 211135965
  261. Fri Mar 31 13:52:51 2017 error -5 reading relation 223789705
  262. Fri Mar 31 13:53:43 2017 error -9 reading relation 229541379
  263. Fri Mar 31 13:53:53 2017 error -15 reading relation 230640333
  264. Fri Mar 31 13:53:53 2017 error -15 reading relation 230684647
  265. Fri Mar 31 13:54:12 2017 error -15 reading relation 232798304
  266. Fri Mar 31 13:55:25 2017 error -1 reading relation 240446516
  267. Fri Mar 31 13:55:57 2017 error -9 reading relation 243453000
  268. Fri Mar 31 13:56:26 2017 error -15 reading relation 246117092
  269. Fri Mar 31 13:56:38 2017 error -9 reading relation 247422014
  270. Fri Mar 31 13:56:38 2017 error -9 reading relation 247428736
  271. Fri Mar 31 13:56:38 2017 error -9 reading relation 247458280
  272. Fri Mar 31 13:56:58 2017 error -15 reading relation 249509090
  273. Fri Mar 31 13:57:37 2017 error -9 reading relation 253528873
  274. Fri Mar 31 13:58:03 2017 skipped 29205 relations with b > 2^32
  275. Fri Mar 31 13:58:03 2017 skipped 7 relations with composite factors
  276. Fri Mar 31 13:58:03 2017 found 43755062 hash collisions in 255069125 relations
  277. Fri Mar 31 13:58:19 2017 commencing duplicate removal, pass 2
  278. Fri Mar 31 14:03:04 2017 found 39460223 duplicates and 215608902 unique relations
  279. Fri Mar 31 14:03:04 2017 memory use: 1321.5 MB
  280. Fri Mar 31 14:03:05 2017 reading ideals above 99942400
  281. Fri Mar 31 14:03:05 2017 commencing singleton removal, initial pass
  282. Fri Mar 31 14:31:54 2017 memory use: 5512.0 MB
  283. Fri Mar 31 14:31:54 2017 reading all ideals from disk
  284. Fri Mar 31 14:32:59 2017 memory use: 3776.4 MB
  285. Fri Mar 31 14:33:14 2017 commencing in-memory singleton removal
  286. Fri Mar 31 14:33:29 2017 begin with 215608902 relations and 166359416 unique ideals
  287. Fri Mar 31 14:36:05 2017 reduce to 152773515 relations and 97991441 ideals in 12 passes
  288. Fri Mar 31 14:36:05 2017 max relations containing the same ideal: 67
  289. Fri Mar 31 14:36:18 2017 reading ideals above 720000
  290. Fri Mar 31 14:36:18 2017 commencing singleton removal, initial pass
  291. Fri Mar 31 15:03:46 2017 memory use: 3012.0 MB
  292. Fri Mar 31 15:03:46 2017 reading all ideals from disk
  293. Fri Mar 31 15:04:29 2017 memory use: 5815.6 MB
  294. Fri Mar 31 15:04:54 2017 keeping 108730442 ideals with weight <= 200, target excess is 774775
  295. Fri Mar 31 15:05:21 2017 commencing in-memory singleton removal
  296. Fri Mar 31 15:05:42 2017 begin with 152773515 relations and 108730442 unique ideals
  297. Fri Mar 31 15:06:21 2017 reduce to 152773514 relations and 108730441 ideals in 2 passes
  298. Fri Mar 31 15:06:21 2017 max relations containing the same ideal: 200
  299. Fri Mar 31 15:07:59 2017 removing 9361238 relations and 7361238 ideals in 2000000 cliques
  300. Fri Mar 31 15:08:03 2017 commencing in-memory singleton removal
  301. Fri Mar 31 15:08:22 2017 begin with 143412276 relations and 108730441 unique ideals
  302. Fri Mar 31 15:10:44 2017 reduce to 142971339 relations and 100920757 ideals in 7 passes
  303. Fri Mar 31 15:10:44 2017 max relations containing the same ideal: 199
  304. Fri Mar 31 15:12:17 2017 removing 7157520 relations and 5157520 ideals in 2000000 cliques
  305. Fri Mar 31 15:12:21 2017 commencing in-memory singleton removal
  306. Fri Mar 31 15:12:36 2017 begin with 135813819 relations and 100920757 unique ideals
  307. Fri Mar 31 15:14:39 2017 reduce to 135518041 relations and 95463126 ideals in 7 passes
  308. Fri Mar 31 15:14:39 2017 max relations containing the same ideal: 194
  309. Fri Mar 31 15:16:00 2017 removing 6541209 relations and 4541209 ideals in 2000000 cliques
  310. Fri Mar 31 15:16:04 2017 commencing in-memory singleton removal
  311. Fri Mar 31 15:16:16 2017 begin with 128976832 relations and 95463126 unique ideals
  312. Fri Mar 31 15:17:40 2017 reduce to 128725517 relations and 90666958 ideals in 6 passes
  313. Fri Mar 31 15:17:40 2017 max relations containing the same ideal: 190
  314. Fri Mar 31 15:18:52 2017 removing 6211792 relations and 4211792 ideals in 2000000 cliques
  315. Fri Mar 31 15:18:56 2017 commencing in-memory singleton removal
  316. Fri Mar 31 15:19:07 2017 begin with 122513725 relations and 90666958 unique ideals
  317. Fri Mar 31 15:20:23 2017 reduce to 122284634 relations and 86222663 ideals in 6 passes
  318. Fri Mar 31 15:20:23 2017 max relations containing the same ideal: 183
  319. Fri Mar 31 15:21:32 2017 removing 5999792 relations and 3999792 ideals in 2000000 cliques
  320. Fri Mar 31 15:21:36 2017 commencing in-memory singleton removal
  321. Fri Mar 31 15:21:46 2017 begin with 116284842 relations and 86222663 unique ideals
  322. Fri Mar 31 15:22:57 2017 reduce to 116069254 relations and 82003869 ideals in 6 passes
  323. Fri Mar 31 15:22:57 2017 max relations containing the same ideal: 178
  324. Fri Mar 31 15:23:59 2017 removing 5848539 relations and 3848539 ideals in 2000000 cliques
  325. Fri Mar 31 15:24:03 2017 commencing in-memory singleton removal
  326. Fri Mar 31 15:24:13 2017 begin with 110220715 relations and 82003869 unique ideals
  327. Fri Mar 31 15:25:16 2017 reduce to 110013011 relations and 77944307 ideals in 6 passes
  328. Fri Mar 31 15:25:16 2017 max relations containing the same ideal: 173
  329. Fri Mar 31 15:26:14 2017 removing 5735849 relations and 3735849 ideals in 2000000 cliques
  330. Fri Mar 31 15:26:18 2017 commencing in-memory singleton removal
  331. Fri Mar 31 15:26:26 2017 begin with 104277162 relations and 77944307 unique ideals
  332. Fri Mar 31 15:27:23 2017 reduce to 104073532 relations and 74001319 ideals in 6 passes
  333. Fri Mar 31 15:27:23 2017 max relations containing the same ideal: 168
  334. Fri Mar 31 15:28:20 2017 removing 5643241 relations and 3643241 ideals in 2000000 cliques
  335. Fri Mar 31 15:28:23 2017 commencing in-memory singleton removal
  336. Fri Mar 31 15:28:31 2017 begin with 98430291 relations and 74001319 unique ideals
  337. Fri Mar 31 15:29:27 2017 reduce to 98227624 relations and 70151719 ideals in 6 passes
  338. Fri Mar 31 15:29:27 2017 max relations containing the same ideal: 159
  339. Fri Mar 31 15:30:17 2017 removing 5571919 relations and 3571919 ideals in 2000000 cliques
  340. Fri Mar 31 15:30:20 2017 commencing in-memory singleton removal
  341. Fri Mar 31 15:30:28 2017 begin with 92655705 relations and 70151719 unique ideals
  342. Fri Mar 31 15:31:17 2017 reduce to 92452469 relations and 66372598 ideals in 6 passes
  343. Fri Mar 31 15:31:17 2017 max relations containing the same ideal: 151
  344. Fri Mar 31 15:32:01 2017 removing 5516688 relations and 3516688 ideals in 2000000 cliques
  345. Fri Mar 31 15:32:04 2017 commencing in-memory singleton removal
  346. Fri Mar 31 15:32:11 2017 begin with 86935781 relations and 66372598 unique ideals
  347. Fri Mar 31 15:32:58 2017 reduce to 86730370 relations and 62646224 ideals in 6 passes
  348. Fri Mar 31 15:32:58 2017 max relations containing the same ideal: 145
  349. Fri Mar 31 15:33:45 2017 removing 5468805 relations and 3468805 ideals in 2000000 cliques
  350. Fri Mar 31 15:33:48 2017 commencing in-memory singleton removal
  351. Fri Mar 31 15:33:54 2017 begin with 81261565 relations and 62646224 unique ideals
  352. Fri Mar 31 15:34:36 2017 reduce to 81049304 relations and 58960591 ideals in 6 passes
  353. Fri Mar 31 15:34:36 2017 max relations containing the same ideal: 138
  354. Fri Mar 31 15:35:20 2017 removing 5430347 relations and 3430347 ideals in 2000000 cliques
  355. Fri Mar 31 15:35:23 2017 commencing in-memory singleton removal
  356. Fri Mar 31 15:35:30 2017 begin with 75618957 relations and 58960591 unique ideals
  357. Fri Mar 31 15:36:12 2017 reduce to 75399175 relations and 55305506 ideals in 6 passes
  358. Fri Mar 31 15:36:12 2017 max relations containing the same ideal: 135
  359. Fri Mar 31 15:36:51 2017 removing 5406647 relations and 3406647 ideals in 2000000 cliques
  360. Fri Mar 31 15:36:54 2017 commencing in-memory singleton removal
  361. Fri Mar 31 15:36:59 2017 begin with 69992528 relations and 55305506 unique ideals
  362. Fri Mar 31 15:37:38 2017 reduce to 69762295 relations and 51663087 ideals in 6 passes
  363. Fri Mar 31 15:37:38 2017 max relations containing the same ideal: 127
  364. Fri Mar 31 15:38:13 2017 removing 5386416 relations and 3386416 ideals in 2000000 cliques
  365. Fri Mar 31 15:38:16 2017 commencing in-memory singleton removal
  366. Fri Mar 31 15:38:21 2017 begin with 64375879 relations and 51663087 unique ideals
  367. Fri Mar 31 15:39:02 2017 reduce to 64131885 relations and 48026421 ideals in 7 passes
  368. Fri Mar 31 15:39:02 2017 max relations containing the same ideal: 117
  369. Fri Mar 31 15:39:37 2017 removing 5376039 relations and 3376039 ideals in 2000000 cliques
  370. Fri Mar 31 15:39:40 2017 commencing in-memory singleton removal
  371. Fri Mar 31 15:39:44 2017 begin with 58755846 relations and 48026421 unique ideals
  372. Fri Mar 31 15:40:20 2017 reduce to 58494724 relations and 44381969 ideals in 7 passes
  373. Fri Mar 31 15:40:20 2017 max relations containing the same ideal: 111
  374. Fri Mar 31 15:40:50 2017 removing 5373641 relations and 3373641 ideals in 2000000 cliques
  375. Fri Mar 31 15:40:53 2017 commencing in-memory singleton removal
  376. Fri Mar 31 15:40:57 2017 begin with 53121083 relations and 44381969 unique ideals
  377. Fri Mar 31 15:41:24 2017 reduce to 52838306 relations and 40716920 ideals in 6 passes
  378. Fri Mar 31 15:41:24 2017 max relations containing the same ideal: 106
  379. Fri Mar 31 15:41:51 2017 removing 5381641 relations and 3381641 ideals in 2000000 cliques
  380. Fri Mar 31 15:41:54 2017 commencing in-memory singleton removal
  381. Fri Mar 31 15:41:57 2017 begin with 47456665 relations and 40716920 unique ideals
  382. Fri Mar 31 15:42:21 2017 reduce to 47145434 relations and 37014049 ideals in 6 passes
  383. Fri Mar 31 15:42:21 2017 max relations containing the same ideal: 99
  384. Fri Mar 31 15:42:46 2017 removing 5397375 relations and 3397375 ideals in 2000000 cliques
  385. Fri Mar 31 15:42:48 2017 commencing in-memory singleton removal
  386. Fri Mar 31 15:42:52 2017 begin with 41748059 relations and 37014049 unique ideals
  387. Fri Mar 31 15:43:14 2017 reduce to 41399101 relations and 33255243 ideals in 6 passes
  388. Fri Mar 31 15:43:14 2017 max relations containing the same ideal: 90
  389. Fri Mar 31 15:43:35 2017 removing 5422088 relations and 3422088 ideals in 2000000 cliques
  390. Fri Mar 31 15:43:38 2017 commencing in-memory singleton removal
  391. Fri Mar 31 15:43:40 2017 begin with 35977013 relations and 33255243 unique ideals
  392. Fri Mar 31 15:43:59 2017 reduce to 35577618 relations and 29417689 ideals in 6 passes
  393. Fri Mar 31 15:43:59 2017 max relations containing the same ideal: 83
  394. Fri Mar 31 15:44:18 2017 removing 5457654 relations and 3457654 ideals in 2000000 cliques
  395. Fri Mar 31 15:44:20 2017 commencing in-memory singleton removal
  396. Fri Mar 31 15:44:22 2017 begin with 30119964 relations and 29417689 unique ideals
  397. Fri Mar 31 15:44:41 2017 reduce to 29652325 relations and 25470674 ideals in 7 passes
  398. Fri Mar 31 15:44:41 2017 max relations containing the same ideal: 70
  399. Fri Mar 31 15:44:57 2017 removing 5500880 relations and 3500880 ideals in 2000000 cliques
  400. Fri Mar 31 15:44:59 2017 commencing in-memory singleton removal
  401. Fri Mar 31 15:45:01 2017 begin with 24151445 relations and 25470674 unique ideals
  402. Fri Mar 31 15:45:15 2017 reduce to 23577432 relations and 21363677 ideals in 7 passes
  403. Fri Mar 31 15:45:15 2017 max relations containing the same ideal: 61
  404. Fri Mar 31 15:45:27 2017 removing 3889740 relations and 2574724 ideals in 1315016 cliques
  405. Fri Mar 31 15:45:29 2017 commencing in-memory singleton removal
  406. Fri Mar 31 15:45:30 2017 begin with 19687692 relations and 21363677 unique ideals
  407. Fri Mar 31 15:45:43 2017 reduce to 19264961 relations and 18345478 ideals in 8 passes
  408. Fri Mar 31 15:45:43 2017 max relations containing the same ideal: 55
  409. Fri Mar 31 15:45:53 2017 removing 119928 relations and 99184 ideals in 20744 cliques
  410. Fri Mar 31 15:45:54 2017 commencing in-memory singleton removal
  411. Fri Mar 31 15:45:56 2017 begin with 19145033 relations and 18345478 unique ideals
  412. Fri Mar 31 15:46:04 2017 reduce to 19144420 relations and 18245679 ideals in 5 passes
  413. Fri Mar 31 15:46:04 2017 max relations containing the same ideal: 55
  414. Fri Mar 31 15:46:08 2017 relations with 0 large ideals: 29486
  415. Fri Mar 31 15:46:08 2017 relations with 1 large ideals: 23098
  416. Fri Mar 31 15:46:08 2017 relations with 2 large ideals: 277805
  417. Fri Mar 31 15:46:08 2017 relations with 3 large ideals: 1373118
  418. Fri Mar 31 15:46:08 2017 relations with 4 large ideals: 3495272
  419. Fri Mar 31 15:46:08 2017 relations with 5 large ideals: 5147905
  420. Fri Mar 31 15:46:08 2017 relations with 6 large ideals: 4639744
  421. Fri Mar 31 15:46:08 2017 relations with 7+ large ideals: 4157992
  422. Fri Mar 31 15:46:08 2017 commencing 2-way merge
  423. Fri Mar 31 15:46:20 2017 reduce to 12876571 relation sets and 11977829 unique ideals
  424. Fri Mar 31 15:46:20 2017 commencing full merge
  425. Fri Mar 31 15:57:10 2017 memory use: 562.5 MB
  426. Fri Mar 31 15:57:10 2017 found 44266 cycles, need 2986475
  427. Fri Mar 31 15:57:10 2017 too few cycles, matrix probably cannot build
  428. Fri Mar 31 16:17:41 2017
  429. Fri Mar 31 16:17:41 2017
  430. Fri Mar 31 16:17:41 2017 Msieve v. 1.53 (SVN 993)
  431. Fri Mar 31 16:17:41 2017 random seeds: 74058cd6 95b9c27f
  432. Fri Mar 31 16:17:41 2017 factoring 1688811213159806296548924717594703107977199607032703598294355996437176476446007212379813429403155525325585423188839543204234776534691378603889075984115616771035076630210673846799 (178 digits)
  433. Fri Mar 31 16:17:42 2017 no P-1/P+1/ECM available, skipping
  434. Fri Mar 31 16:17:42 2017 commencing number field sieve (178-digit input)
  435. Fri Mar 31 16:17:42 2017 R0: 6543345135907302614932598240709151
  436. Fri Mar 31 16:17:42 2017 R1: -1
  437. Fri Mar 31 16:17:42 2017 A0: -1
  438. Fri Mar 31 16:17:42 2017 A1: 0
  439. Fri Mar 31 16:17:42 2017 A2: 0
  440. Fri Mar 31 16:17:42 2017 A3: 0
  441. Fri Mar 31 16:17:42 2017 A4: 0
  442. Fri Mar 31 16:17:42 2017 A5: 0
  443. Fri Mar 31 16:17:42 2017 A6: 187039475551
  444. Fri Mar 31 16:17:42 2017 skew 0.01, size 1.472e-11, alpha -0.526, combined = 8.575e-13 rroots = 2
  445. Fri Mar 31 16:17:42 2017
  446. Fri Mar 31 16:17:42 2017 commencing linear algebra
  447. Fri Mar 31 16:17:42 2017 error: read_cycles can't open cycle file
  448. Fri Mar 31 16:17:42 2017
  449. Fri Mar 31 16:17:42 2017
  450. Fri Mar 31 16:17:42 2017 Msieve v. 1.53 (SVN 993)
  451. Fri Mar 31 16:17:42 2017 random seeds: 68f0480d 044c6df4
  452. Fri Mar 31 16:17:42 2017 factoring 1688811213159806296548924717594703107977199607032703598294355996437176476446007212379813429403155525325585423188839543204234776534691378603889075984115616771035076630210673846799 (178 digits)
  453. Fri Mar 31 16:17:43 2017 no P-1/P+1/ECM available, skipping
  454. Fri Mar 31 16:17:43 2017 commencing number field sieve (178-digit input)
  455. Fri Mar 31 16:17:43 2017 R0: 6543345135907302614932598240709151
  456. Fri Mar 31 16:17:43 2017 R1: -1
  457. Fri Mar 31 16:17:43 2017 A0: -1
  458. Fri Mar 31 16:17:43 2017 A1: 0
  459. Fri Mar 31 16:17:43 2017 A2: 0
  460. Fri Mar 31 16:17:43 2017 A3: 0
  461. Fri Mar 31 16:17:43 2017 A4: 0
  462. Fri Mar 31 16:17:43 2017 A5: 0
  463. Fri Mar 31 16:17:43 2017 A6: 187039475551
  464. Fri Mar 31 16:17:43 2017 skew 0.01, size 1.472e-11, alpha -0.526, combined = 8.575e-13 rroots = 2
  465. Fri Mar 31 16:17:43 2017
  466. Fri Mar 31 16:17:43 2017 commencing square root phase
  467. Fri Mar 31 16:17:43 2017 reading relations for dependency 1
  468. Fri Mar 31 16:17:43 2017 error: read_cycles can't open cycle file
  469. Fri Mar 31 18:43:15 2017
  470. Fri Mar 31 18:43:15 2017
  471. Fri Mar 31 18:43:15 2017 Msieve v. 1.53 (SVN 993)
  472. Fri Mar 31 18:43:15 2017 random seeds: b2f9763d c548983f
  473. Fri Mar 31 18:43:15 2017 factoring 1688811213159806296548924717594703107977199607032703598294355996437176476446007212379813429403155525325585423188839543204234776534691378603889075984115616771035076630210673846799 (178 digits)
  474. Fri Mar 31 18:43:16 2017 no P-1/P+1/ECM available, skipping
  475. Fri Mar 31 18:43:16 2017 commencing number field sieve (178-digit input)
  476. Fri Mar 31 18:43:16 2017 R0: 6543345135907302614932598240709151
  477. Fri Mar 31 18:43:16 2017 R1: -1
  478. Fri Mar 31 18:43:16 2017 A0: -1
  479. Fri Mar 31 18:43:16 2017 A1: 0
  480. Fri Mar 31 18:43:16 2017 A2: 0
  481. Fri Mar 31 18:43:16 2017 A3: 0
  482. Fri Mar 31 18:43:16 2017 A4: 0
  483. Fri Mar 31 18:43:16 2017 A5: 0
  484. Fri Mar 31 18:43:16 2017 A6: 187039475551
  485. Fri Mar 31 18:43:16 2017 skew 0.01, size 1.472e-11, alpha -0.526, combined = 8.575e-13 rroots = 2
  486. Fri Mar 31 18:43:16 2017
  487. Fri Mar 31 18:43:16 2017 commencing relation filtering
  488. Fri Mar 31 18:43:16 2017 setting target matrix density to 120.0
  489. Fri Mar 31 18:43:16 2017 estimated available RAM is 32091.8 MB
  490. Fri Mar 31 18:43:16 2017 commencing duplicate removal, pass 1
  491. Fri Mar 31 19:09:18 2017 error -1 reading relation 148947839
  492. Fri Mar 31 19:10:56 2017 error -5 reading relation 158954170
  493. Fri Mar 31 19:11:20 2017 error -1 reading relation 161323953
  494. Fri Mar 31 19:11:50 2017 error -15 reading relation 164383736
  495. Fri Mar 31 19:12:37 2017 error -5 reading relation 169205572
  496. Fri Mar 31 19:14:22 2017 error -15 reading relation 179828287
  497. Fri Mar 31 19:17:06 2017 error -15 reading relation 196717418
  498. Fri Mar 31 19:17:10 2017 error -1 reading relation 197119475
  499. Fri Mar 31 19:19:27 2017 error -5 reading relation 211135965
  500. Fri Mar 31 19:21:31 2017 error -5 reading relation 223789705
  501. Fri Mar 31 19:22:27 2017 error -9 reading relation 229541379
  502. Fri Mar 31 19:22:38 2017 error -15 reading relation 230640333
  503. Fri Mar 31 19:22:38 2017 error -15 reading relation 230684647
  504. Fri Mar 31 19:22:59 2017 error -15 reading relation 232798304
  505. Fri Mar 31 19:24:13 2017 error -1 reading relation 240446516
  506. Fri Mar 31 19:24:42 2017 error -9 reading relation 243453000
  507. Fri Mar 31 19:25:08 2017 error -15 reading relation 246117092
  508. Fri Mar 31 19:25:21 2017 error -9 reading relation 247422014
  509. Fri Mar 31 19:25:21 2017 error -9 reading relation 247428736
  510. Fri Mar 31 19:25:22 2017 error -9 reading relation 247458280
  511. Fri Mar 31 19:25:42 2017 error -15 reading relation 249509090
  512. Fri Mar 31 19:26:21 2017 error -9 reading relation 253528873
  513. Fri Mar 31 19:26:24 2017 skipped 29205 relations with b > 2^32
  514. Fri Mar 31 19:26:24 2017 skipped 7 relations with composite factors
  515. Fri Mar 31 19:26:24 2017 found 43660308 hash collisions in 253851230 relations
  516. Fri Mar 31 19:26:46 2017 added 1217895 free relations
  517. Fri Mar 31 19:26:46 2017 commencing duplicate removal, pass 2
  518. Fri Mar 31 19:30:26 2017 found 39460223 duplicates and 215608902 unique relations
  519. Fri Mar 31 19:30:26 2017 memory use: 1321.5 MB
  520. Fri Mar 31 19:30:26 2017 reading ideals above 99942400
  521. Fri Mar 31 19:30:26 2017 commencing singleton removal, initial pass
  522. Fri Mar 31 19:58:01 2017 memory use: 5512.0 MB
  523. Fri Mar 31 19:58:01 2017 reading all ideals from disk
  524. Fri Mar 31 19:58:24 2017 memory use: 3776.4 MB
  525. Fri Mar 31 19:58:36 2017 commencing in-memory singleton removal
  526. Fri Mar 31 19:58:47 2017 begin with 215608902 relations and 166359416 unique ideals
  527. Fri Mar 31 20:00:37 2017 reduce to 152773515 relations and 97991441 ideals in 12 passes
  528. Fri Mar 31 20:00:37 2017 max relations containing the same ideal: 67
  529. Fri Mar 31 20:00:49 2017 reading ideals above 720000
  530. Fri Mar 31 20:00:49 2017 commencing singleton removal, initial pass
  531. Fri Mar 31 20:25:46 2017 memory use: 3012.0 MB
  532. Fri Mar 31 20:25:46 2017 reading all ideals from disk
  533. Fri Mar 31 20:26:16 2017 memory use: 5815.6 MB
  534. Fri Mar 31 20:26:38 2017 keeping 108730442 ideals with weight <= 200, target excess is 774775
  535. Fri Mar 31 20:27:02 2017 commencing in-memory singleton removal
  536. Fri Mar 31 20:27:19 2017 begin with 152773515 relations and 108730442 unique ideals
  537. Fri Mar 31 20:27:51 2017 reduce to 152773514 relations and 108730441 ideals in 2 passes
  538. Fri Mar 31 20:27:51 2017 max relations containing the same ideal: 200
  539. Fri Mar 31 20:29:07 2017 removing 9361238 relations and 7361238 ideals in 2000000 cliques
  540. Fri Mar 31 20:29:12 2017 commencing in-memory singleton removal
  541. Fri Mar 31 20:29:26 2017 begin with 143412276 relations and 108730441 unique ideals
  542. Fri Mar 31 20:31:08 2017 reduce to 142971339 relations and 100920757 ideals in 7 passes
  543. Fri Mar 31 20:31:08 2017 max relations containing the same ideal: 199
  544. Fri Mar 31 20:32:17 2017 removing 7157520 relations and 5157520 ideals in 2000000 cliques
  545. Fri Mar 31 20:32:21 2017 commencing in-memory singleton removal
  546. Fri Mar 31 20:32:32 2017 begin with 135813819 relations and 100920757 unique ideals
  547. Fri Mar 31 20:33:53 2017 reduce to 135518041 relations and 95463126 ideals in 7 passes
  548. Fri Mar 31 20:33:53 2017 max relations containing the same ideal: 194
  549. Fri Mar 31 20:34:51 2017 removing 6541209 relations and 4541209 ideals in 2000000 cliques
  550. Fri Mar 31 20:34:55 2017 commencing in-memory singleton removal
  551. Fri Mar 31 20:35:04 2017 begin with 128976832 relations and 95463126 unique ideals
  552. Fri Mar 31 20:36:09 2017 reduce to 128725517 relations and 90666958 ideals in 6 passes
  553. Fri Mar 31 20:36:09 2017 max relations containing the same ideal: 190
  554. Fri Mar 31 20:37:04 2017 removing 6211792 relations and 4211792 ideals in 2000000 cliques
  555. Fri Mar 31 20:37:08 2017 commencing in-memory singleton removal
  556. Fri Mar 31 20:37:16 2017 begin with 122513725 relations and 90666958 unique ideals
  557. Fri Mar 31 20:38:14 2017 reduce to 122284634 relations and 86222663 ideals in 6 passes
  558. Fri Mar 31 20:38:14 2017 max relations containing the same ideal: 183
  559. Fri Mar 31 20:39:05 2017 removing 5999792 relations and 3999792 ideals in 2000000 cliques
  560. Fri Mar 31 20:39:09 2017 commencing in-memory singleton removal
  561. Fri Mar 31 20:39:16 2017 begin with 116284842 relations and 86222663 unique ideals
  562. Fri Mar 31 20:40:10 2017 reduce to 116069254 relations and 82003869 ideals in 6 passes
  563. Fri Mar 31 20:40:10 2017 max relations containing the same ideal: 178
  564. Fri Mar 31 20:40:58 2017 removing 5848539 relations and 3848539 ideals in 2000000 cliques
  565. Fri Mar 31 20:41:01 2017 commencing in-memory singleton removal
  566. Fri Mar 31 20:41:08 2017 begin with 110220715 relations and 82003869 unique ideals
  567. Fri Mar 31 20:41:57 2017 reduce to 110013011 relations and 77944307 ideals in 6 passes
  568. Fri Mar 31 20:41:57 2017 max relations containing the same ideal: 173
  569. Fri Mar 31 20:42:41 2017 removing 5735849 relations and 3735849 ideals in 2000000 cliques
  570. Fri Mar 31 20:42:44 2017 commencing in-memory singleton removal
  571. Fri Mar 31 20:42:50 2017 begin with 104277162 relations and 77944307 unique ideals
  572. Fri Mar 31 20:43:34 2017 reduce to 104073532 relations and 74001319 ideals in 6 passes
  573. Fri Mar 31 20:43:34 2017 max relations containing the same ideal: 168
  574. Fri Mar 31 20:44:16 2017 removing 5643241 relations and 3643241 ideals in 2000000 cliques
  575. Fri Mar 31 20:44:19 2017 commencing in-memory singleton removal
  576. Fri Mar 31 20:44:25 2017 begin with 98430291 relations and 74001319 unique ideals
  577. Fri Mar 31 20:45:06 2017 reduce to 98227624 relations and 70151719 ideals in 6 passes
  578. Fri Mar 31 20:45:06 2017 max relations containing the same ideal: 159
  579. Fri Mar 31 20:45:45 2017 removing 5571919 relations and 3571919 ideals in 2000000 cliques
  580. Fri Mar 31 20:45:48 2017 commencing in-memory singleton removal
  581. Fri Mar 31 20:45:53 2017 begin with 92655705 relations and 70151719 unique ideals
  582. Fri Mar 31 20:46:30 2017 reduce to 92452469 relations and 66372598 ideals in 6 passes
  583. Fri Mar 31 20:46:30 2017 max relations containing the same ideal: 151
  584. Fri Mar 31 20:47:06 2017 removing 5516688 relations and 3516688 ideals in 2000000 cliques
  585. Fri Mar 31 20:47:09 2017 commencing in-memory singleton removal
  586. Fri Mar 31 20:47:14 2017 begin with 86935781 relations and 66372598 unique ideals
  587. Fri Mar 31 20:47:49 2017 reduce to 86730370 relations and 62646224 ideals in 6 passes
  588. Fri Mar 31 20:47:49 2017 max relations containing the same ideal: 145
  589. Fri Mar 31 20:48:23 2017 removing 5468805 relations and 3468805 ideals in 2000000 cliques
  590. Fri Mar 31 20:48:26 2017 commencing in-memory singleton removal
  591. Fri Mar 31 20:48:31 2017 begin with 81261565 relations and 62646224 unique ideals
  592. Fri Mar 31 20:49:03 2017 reduce to 81049304 relations and 58960591 ideals in 6 passes
  593. Fri Mar 31 20:49:03 2017 max relations containing the same ideal: 138
  594. Fri Mar 31 20:49:35 2017 removing 5430347 relations and 3430347 ideals in 2000000 cliques
  595. Fri Mar 31 20:49:38 2017 commencing in-memory singleton removal
  596. Fri Mar 31 20:49:42 2017 begin with 75618957 relations and 58960591 unique ideals
  597. Fri Mar 31 20:50:12 2017 reduce to 75399175 relations and 55305506 ideals in 6 passes
  598. Fri Mar 31 20:50:12 2017 max relations containing the same ideal: 135
  599. Fri Mar 31 20:50:41 2017 removing 5406647 relations and 3406647 ideals in 2000000 cliques
  600. Fri Mar 31 20:50:44 2017 commencing in-memory singleton removal
  601. Fri Mar 31 20:50:48 2017 begin with 69992528 relations and 55305506 unique ideals
  602. Fri Mar 31 20:51:16 2017 reduce to 69762295 relations and 51663087 ideals in 6 passes
  603. Fri Mar 31 20:51:16 2017 max relations containing the same ideal: 127
  604. Fri Mar 31 20:51:43 2017 removing 5386416 relations and 3386416 ideals in 2000000 cliques
  605. Fri Mar 31 20:51:46 2017 commencing in-memory singleton removal
  606. Fri Mar 31 20:51:49 2017 begin with 64375879 relations and 51663087 unique ideals
  607. Fri Mar 31 20:52:19 2017 reduce to 64131885 relations and 48026421 ideals in 7 passes
  608. Fri Mar 31 20:52:19 2017 max relations containing the same ideal: 117
  609. Fri Mar 31 20:52:44 2017 removing 5376039 relations and 3376039 ideals in 2000000 cliques
  610. Fri Mar 31 20:52:47 2017 commencing in-memory singleton removal
  611. Fri Mar 31 20:52:50 2017 begin with 58755846 relations and 48026421 unique ideals
  612. Fri Mar 31 20:53:16 2017 reduce to 58494724 relations and 44381969 ideals in 7 passes
  613. Fri Mar 31 20:53:16 2017 max relations containing the same ideal: 111
  614. Fri Mar 31 20:53:39 2017 removing 5373641 relations and 3373641 ideals in 2000000 cliques
  615. Fri Mar 31 20:53:41 2017 commencing in-memory singleton removal
  616. Fri Mar 31 20:53:44 2017 begin with 53121083 relations and 44381969 unique ideals
  617. Fri Mar 31 20:54:04 2017 reduce to 52838306 relations and 40716920 ideals in 6 passes
  618. Fri Mar 31 20:54:04 2017 max relations containing the same ideal: 106
  619. Fri Mar 31 20:54:25 2017 removing 5381641 relations and 3381641 ideals in 2000000 cliques
  620. Fri Mar 31 20:54:28 2017 commencing in-memory singleton removal
  621. Fri Mar 31 20:54:30 2017 begin with 47456665 relations and 40716920 unique ideals
  622. Fri Mar 31 20:54:48 2017 reduce to 47145434 relations and 37014049 ideals in 6 passes
  623. Fri Mar 31 20:54:48 2017 max relations containing the same ideal: 99
  624. Fri Mar 31 20:55:06 2017 removing 5397375 relations and 3397375 ideals in 2000000 cliques
  625. Fri Mar 31 20:55:09 2017 commencing in-memory singleton removal
  626. Fri Mar 31 20:55:11 2017 begin with 41748059 relations and 37014049 unique ideals
  627. Fri Mar 31 20:55:26 2017 reduce to 41399101 relations and 33255243 ideals in 6 passes
  628. Fri Mar 31 20:55:26 2017 max relations containing the same ideal: 90
  629. Fri Mar 31 20:55:42 2017 removing 5422088 relations and 3422088 ideals in 2000000 cliques
  630. Fri Mar 31 20:55:45 2017 commencing in-memory singleton removal
  631. Fri Mar 31 20:55:46 2017 begin with 35977013 relations and 33255243 unique ideals
  632. Fri Mar 31 20:55:59 2017 reduce to 35577618 relations and 29417689 ideals in 6 passes
  633. Fri Mar 31 20:55:59 2017 max relations containing the same ideal: 83
  634. Fri Mar 31 20:56:13 2017 removing 5457654 relations and 3457654 ideals in 2000000 cliques
  635. Fri Mar 31 20:56:16 2017 commencing in-memory singleton removal
  636. Fri Mar 31 20:56:17 2017 begin with 30119964 relations and 29417689 unique ideals
  637. Fri Mar 31 20:56:29 2017 reduce to 29652325 relations and 25470674 ideals in 7 passes
  638. Fri Mar 31 20:56:29 2017 max relations containing the same ideal: 70
  639. Fri Mar 31 20:56:41 2017 removing 5500880 relations and 3500880 ideals in 2000000 cliques
  640. Fri Mar 31 20:56:43 2017 commencing in-memory singleton removal
  641. Fri Mar 31 20:56:44 2017 begin with 24151445 relations and 25470674 unique ideals
  642. Fri Mar 31 20:56:54 2017 reduce to 23577432 relations and 21363677 ideals in 7 passes
  643. Fri Mar 31 20:56:54 2017 max relations containing the same ideal: 61
  644. Fri Mar 31 20:57:03 2017 removing 3889740 relations and 2574724 ideals in 1315016 cliques
  645. Fri Mar 31 20:57:05 2017 commencing in-memory singleton removal
  646. Fri Mar 31 20:57:06 2017 begin with 19687692 relations and 21363677 unique ideals
  647. Fri Mar 31 20:57:15 2017 reduce to 19264961 relations and 18345478 ideals in 8 passes
  648. Fri Mar 31 20:57:15 2017 max relations containing the same ideal: 55
  649. Fri Mar 31 20:57:23 2017 removing 119928 relations and 99184 ideals in 20744 cliques
  650. Fri Mar 31 20:57:23 2017 commencing in-memory singleton removal
  651. Fri Mar 31 20:57:24 2017 begin with 19145033 relations and 18345478 unique ideals
  652. Fri Mar 31 20:57:30 2017 reduce to 19144420 relations and 18245679 ideals in 5 passes
  653. Fri Mar 31 20:57:30 2017 max relations containing the same ideal: 55
  654. Fri Mar 31 20:57:33 2017 relations with 0 large ideals: 29486
  655. Fri Mar 31 20:57:33 2017 relations with 1 large ideals: 23098
  656. Fri Mar 31 20:57:33 2017 relations with 2 large ideals: 277805
  657. Fri Mar 31 20:57:33 2017 relations with 3 large ideals: 1373118
  658. Fri Mar 31 20:57:33 2017 relations with 4 large ideals: 3495272
  659. Fri Mar 31 20:57:33 2017 relations with 5 large ideals: 5147905
  660. Fri Mar 31 20:57:33 2017 relations with 6 large ideals: 4639744
  661. Fri Mar 31 20:57:33 2017 relations with 7+ large ideals: 4157992
  662. Fri Mar 31 20:57:33 2017 commencing 2-way merge
  663. Fri Mar 31 20:57:42 2017 reduce to 12876571 relation sets and 11977829 unique ideals
  664. Fri Mar 31 20:57:42 2017 commencing full merge
  665. Fri Mar 31 21:02:19 2017 memory use: 1568.4 MB
  666. Fri Mar 31 21:02:20 2017 found 5817945 cycles, need 5750029
  667. Fri Mar 31 21:02:22 2017 weight of 5750029 cycles is about 690175916 (120.03/cycle)
  668. Fri Mar 31 21:02:22 2017 distribution of cycle lengths:
  669. Fri Mar 31 21:02:22 2017 1 relations: 169166
  670. Fri Mar 31 21:02:22 2017 2 relations: 281808
  671. Fri Mar 31 21:02:22 2017 3 relations: 359217
  672. Fri Mar 31 21:02:22 2017 4 relations: 397500
  673. Fri Mar 31 21:02:22 2017 5 relations: 430157
  674. Fri Mar 31 21:02:22 2017 6 relations: 441533
  675. Fri Mar 31 21:02:22 2017 7 relations: 439603
  676. Fri Mar 31 21:02:22 2017 8 relations: 425506
  677. Fri Mar 31 21:02:22 2017 9 relations: 402438
  678. Fri Mar 31 21:02:22 2017 10+ relations: 2403101
  679. Fri Mar 31 21:02:22 2017 heaviest cycle: 28 relations
  680. Fri Mar 31 21:02:25 2017 commencing cycle optimization
  681. Fri Mar 31 21:02:37 2017 start with 52495556 relations
  682. Fri Mar 31 21:04:40 2017 pruned 2798901 relations
  683. Fri Mar 31 21:04:40 2017 memory use: 1331.1 MB
  684. Fri Mar 31 21:04:40 2017 distribution of cycle lengths:
  685. Fri Mar 31 21:04:40 2017 1 relations: 169166
  686. Fri Mar 31 21:04:40 2017 2 relations: 289155
  687. Fri Mar 31 21:04:40 2017 3 relations: 375671
  688. Fri Mar 31 21:04:40 2017 4 relations: 417351
  689. Fri Mar 31 21:04:40 2017 5 relations: 456245
  690. Fri Mar 31 21:04:40 2017 6 relations: 469528
  691. Fri Mar 31 21:04:40 2017 7 relations: 469622
  692. Fri Mar 31 21:04:40 2017 8 relations: 453895
  693. Fri Mar 31 21:04:40 2017 9 relations: 427291
  694. Fri Mar 31 21:04:40 2017 10+ relations: 2222105
  695. Fri Mar 31 21:04:40 2017 heaviest cycle: 28 relations
  696. Fri Mar 31 21:04:49 2017 RelProcTime: 8493
  697. Fri Mar 31 21:04:49 2017
  698. Fri Mar 31 21:04:49 2017 commencing linear algebra
  699. Fri Mar 31 21:04:52 2017 read 5750029 cycles
  700. Fri Mar 31 21:05:07 2017 cycles contain 18731225 unique relations
  701. Fri Mar 31 21:08:46 2017 read 18731225 relations
  702. Fri Mar 31 21:09:16 2017 using 20 quadratic characters above 4294917295
  703. Fri Mar 31 21:11:01 2017 building initial matrix
  704. Fri Mar 31 21:15:51 2017 memory use: 2442.4 MB
  705. Fri Mar 31 21:15:54 2017 read 5750029 cycles
  706. Fri Mar 31 21:15:55 2017 matrix is 5749852 x 5750029 (2691.4 MB) with weight 782409167 (136.07/col)
  707. Fri Mar 31 21:15:55 2017 sparse part has weight 642285803 (111.70/col)
  708. Fri Mar 31 21:17:18 2017 filtering completed in 2 passes
  709. Fri Mar 31 21:17:20 2017 matrix is 5749648 x 5749825 (2691.4 MB) with weight 782399922 (136.07/col)
  710. Fri Mar 31 21:17:20 2017 sparse part has weight 642281450 (111.70/col)
  711. Fri Mar 31 21:17:57 2017 matrix starts at (0, 0)
  712. Fri Mar 31 21:17:58 2017 matrix is 5749648 x 5749825 (2691.4 MB) with weight 782399922 (136.07/col)
  713. Fri Mar 31 21:17:58 2017 sparse part has weight 642281450 (111.70/col)
  714. Fri Mar 31 21:17:58 2017 saving the first 48 matrix rows for later
  715. Fri Mar 31 21:17:59 2017 matrix includes 64 packed rows
  716. Fri Mar 31 21:18:00 2017 matrix is 5749600 x 5749825 (2580.5 MB) with weight 670213547 (116.56/col)
  717. Fri Mar 31 21:18:00 2017 sparse part has weight 618964135 (107.65/col)
  718. Fri Mar 31 21:18:00 2017 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  719. Fri Mar 31 21:18:30 2017 commencing Lanczos iteration (8 threads)
  720. Fri Mar 31 21:18:30 2017 memory use: 2169.1 MB
  721. Fri Mar 31 21:18:44 2017 linear algebra at 0.0%, ETA 13h42m
  722. Fri Mar 31 21:18:49 2017 checkpointing every 410000 dimensions
  723. Sat Apr 1 10:04:38 2017 lanczos halted after 90924 iterations (dim = 5749596)
  724. Sat Apr 1 10:04:44 2017 recovered 32 nontrivial dependencies
  725. Sat Apr 1 10:04:44 2017 BLanczosTime: 46795
  726. Sat Apr 1 10:04:44 2017
  727. Sat Apr 1 10:04:44 2017 commencing square root phase
  728. Sat Apr 1 10:04:44 2017 handling dependencies 1 to 64
  729. Sat Apr 1 10:04:44 2017 reading relations for dependency 1
  730. Sat Apr 1 10:04:45 2017 read 2874195 cycles
  731. Sat Apr 1 10:04:52 2017 cycles contain 9361578 unique relations
  732. Sat Apr 1 10:08:25 2017 read 9361578 relations
  733. Sat Apr 1 10:09:11 2017 multiplying 9361578 relations
  734. Sat Apr 1 10:31:28 2017 multiply complete, coefficients have about 552.11 million bits
  735. Sat Apr 1 10:31:29 2017 initial square root is modulo 89833
  736. Sat Apr 1 10:54:40 2017 GCD is N, no factor found
  737. Sat Apr 1 10:54:40 2017 reading relations for dependency 2
  738. Sat Apr 1 10:54:42 2017 read 2875933 cycles
  739. Sat Apr 1 10:54:49 2017 cycles contain 9367944 unique relations
  740. Sat Apr 1 10:58:21 2017 read 9367944 relations
  741. Sat Apr 1 10:59:07 2017 multiplying 9367944 relations
  742. Sat Apr 1 11:21:31 2017 multiply complete, coefficients have about 552.49 million bits
  743. Sat Apr 1 11:21:33 2017 initial square root is modulo 90523
  744. Sat Apr 1 11:45:02 2017 sqrtTime: 6018
  745. Sat Apr 1 11:45:02 2017 p86 factor: 59969606437825471092748609807267089171442385775453880240834192297102407276550682363249
  746. Sat Apr 1 11:45:02 2017 p92 factor: 28161118831265144175724429817967381635120122727242283196157680376868720112151713622855853951
  747. Sat Apr 1 11:45:02 2017 elapsed time 17:01:47
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