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  1. Wed Nov 6 09:57:14 2019 Msieve v. 1.52 (SVN exported)
  2. Wed Nov 6 09:57:14 2019 random seeds: fc181a0a c1bc3513
  3. Wed Nov 6 09:57:14 2019 factoring 3453468674703923247257578949716572927109152541969930672010383108878273072117209359971041631066047338531213480424063181929613979030756799113828316491136247201377491261729330921852223064662519677 (193 digits)
  4. Wed Nov 6 09:57:16 2019 searching for 15-digit factors
  5. Wed Nov 6 09:57:19 2019 commencing number field sieve (193-digit input)
  6. Wed Nov 6 09:57:19 2019 R0: 6626407623023341735842836810834443894680475442
  7. Wed Nov 6 09:57:19 2019 R1: -318270182965192022252424017587489077700729
  8. Wed Nov 6 09:57:19 2019 A0: -1
  9. Wed Nov 6 09:57:19 2019 A1: 3
  10. Wed Nov 6 09:57:19 2019 A2: 3
  11. Wed Nov 6 09:57:19 2019 A3: -4
  12. Wed Nov 6 09:57:19 2019 A4: -1
  13. Wed Nov 6 09:57:19 2019 A5: 1
  14. Wed Nov 6 09:57:19 2019 skew 1.00, size 1.354e-15, alpha 2.379, combined = 1.146e-12 rroots = 5
  15. Wed Nov 6 09:57:19 2019
  16. Wed Nov 6 09:57:19 2019 commencing relation filtering
  17. Wed Nov 6 09:57:19 2019 setting target matrix density to 130.0
  18. Wed Nov 6 09:57:19 2019 estimated available RAM is 5806.4 MB
  19. Wed Nov 6 09:57:19 2019 commencing duplicate removal, pass 1
  20. Wed Nov 6 10:25:18 2019 skipped 132 relations with b > 2^32
  21. Wed Nov 6 10:25:18 2019 found 26783066 hash collisions in 143174841 relations
  22. Wed Nov 6 10:25:34 2019 added 2926300 free relations
  23. Wed Nov 6 10:25:34 2019 commencing duplicate removal, pass 2
  24. Wed Nov 6 10:30:52 2019 found 24635320 duplicates and 121465821 unique relations
  25. Wed Nov 6 10:30:52 2019 memory use: 660.8 MB
  26. Wed Nov 6 10:30:52 2019 reading ideals above 99942400
  27. Wed Nov 6 10:30:52 2019 commencing singleton removal, initial pass
  28. Wed Nov 6 10:59:58 2019 memory use: 2756.0 MB
  29. Wed Nov 6 10:59:58 2019 reading all ideals from disk
  30. Wed Nov 6 11:00:11 2019 memory use: 1975.8 MB
  31. Wed Nov 6 11:00:31 2019 commencing in-memory singleton removal
  32. Wed Nov 6 11:00:49 2019 begin with 121465821 relations and 84058355 unique ideals
  33. Wed Nov 6 11:03:20 2019 reduce to 93724657 relations and 54336446 ideals in 10 passes
  34. Wed Nov 6 11:03:20 2019 max relations containing the same ideal: 43
  35. Wed Nov 6 11:03:38 2019 reading ideals above 720000
  36. Wed Nov 6 11:03:38 2019 commencing singleton removal, initial pass
  37. Wed Nov 6 11:32:05 2019 memory use: 1506.0 MB
  38. Wed Nov 6 11:32:06 2019 reading large ideals from disk
  39. Wed Nov 6 11:33:39 2019 keeping 57927473 ideals with weight <= 20, target excess is 7926359
  40. Wed Nov 6 11:35:14 2019 memory use: 1911.7 MB
  41. Wed Nov 6 11:35:14 2019 commencing in-memory singleton removal
  42. Wed Nov 6 11:35:28 2019 begin with 93724658 relations and 57927473 unique ideals
  43. Wed Nov 6 11:36:27 2019 reduce to 93723973 relations and 57926787 ideals in 4 passes
  44. Wed Nov 6 11:36:27 2019 max relations containing the same ideal: 20
  45. Wed Nov 6 11:37:37 2019 removing 6819642 relations and 4819642 ideals in 2000000 cliques
  46. Wed Nov 6 11:37:40 2019 commencing in-memory singleton removal
  47. Wed Nov 6 11:37:53 2019 begin with 86904331 relations and 57926787 unique ideals
  48. Wed Nov 6 11:39:19 2019 reduce to 86411370 relations and 52600928 ideals in 7 passes
  49. Wed Nov 6 11:39:19 2019 max relations containing the same ideal: 20
  50. Wed Nov 6 11:40:18 2019 removing 5699751 relations and 3699751 ideals in 2000000 cliques
  51. Wed Nov 6 11:40:22 2019 commencing in-memory singleton removal
  52. Wed Nov 6 11:40:33 2019 begin with 80711619 relations and 52600928 unique ideals
  53. Wed Nov 6 11:41:39 2019 reduce to 80379148 relations and 48560791 ideals in 6 passes
  54. Wed Nov 6 11:41:39 2019 max relations containing the same ideal: 20
  55. Wed Nov 6 11:42:35 2019 removing 5388537 relations and 3388537 ideals in 2000000 cliques
  56. Wed Nov 6 11:42:39 2019 commencing in-memory singleton removal
  57. Wed Nov 6 11:42:51 2019 begin with 74990611 relations and 48560791 unique ideals
  58. Wed Nov 6 11:43:53 2019 reduce to 74705158 relations and 44879913 ideals in 6 passes
  59. Wed Nov 6 11:43:53 2019 max relations containing the same ideal: 20
  60. Wed Nov 6 11:44:44 2019 removing 5213144 relations and 3213144 ideals in 2000000 cliques
  61. Wed Nov 6 11:44:48 2019 commencing in-memory singleton removal
  62. Wed Nov 6 11:44:57 2019 begin with 69492014 relations and 44879913 unique ideals
  63. Wed Nov 6 11:45:50 2019 reduce to 69226434 relations and 41394553 ideals in 6 passes
  64. Wed Nov 6 11:45:50 2019 max relations containing the same ideal: 20
  65. Wed Nov 6 11:46:35 2019 removing 5125932 relations and 3125932 ideals in 2000000 cliques
  66. Wed Nov 6 11:46:38 2019 commencing in-memory singleton removal
  67. Wed Nov 6 11:46:46 2019 begin with 64100502 relations and 41394553 unique ideals
  68. Wed Nov 6 11:47:32 2019 reduce to 63850247 relations and 38011801 ideals in 6 passes
  69. Wed Nov 6 11:47:32 2019 max relations containing the same ideal: 20
  70. Wed Nov 6 11:48:11 2019 removing 5043946 relations and 3043946 ideals in 2000000 cliques
  71. Wed Nov 6 11:48:14 2019 commencing in-memory singleton removal
  72. Wed Nov 6 11:48:21 2019 begin with 58806301 relations and 38011801 unique ideals
  73. Wed Nov 6 11:49:01 2019 reduce to 58550993 relations and 34705338 ideals in 6 passes
  74. Wed Nov 6 11:49:01 2019 max relations containing the same ideal: 20
  75. Wed Nov 6 11:49:36 2019 removing 4985203 relations and 2985203 ideals in 2000000 cliques
  76. Wed Nov 6 11:49:39 2019 commencing in-memory singleton removal
  77. Wed Nov 6 11:49:45 2019 begin with 53565790 relations and 34705338 unique ideals
  78. Wed Nov 6 11:50:20 2019 reduce to 53297696 relations and 31443873 ideals in 6 passes
  79. Wed Nov 6 11:50:20 2019 max relations containing the same ideal: 20
  80. Wed Nov 6 11:50:52 2019 removing 4955615 relations and 2955615 ideals in 2000000 cliques
  81. Wed Nov 6 11:50:55 2019 commencing in-memory singleton removal
  82. Wed Nov 6 11:50:59 2019 begin with 48342081 relations and 31443873 unique ideals
  83. Wed Nov 6 11:51:30 2019 reduce to 48070729 relations and 28207946 ideals in 6 passes
  84. Wed Nov 6 11:51:30 2019 max relations containing the same ideal: 20
  85. Wed Nov 6 11:51:58 2019 removing 4933335 relations and 2933335 ideals in 2000000 cliques
  86. Wed Nov 6 11:52:00 2019 commencing in-memory singleton removal
  87. Wed Nov 6 11:52:05 2019 begin with 43137394 relations and 28207946 unique ideals
  88. Wed Nov 6 11:52:39 2019 reduce to 42853823 relations and 24981401 ideals in 8 passes
  89. Wed Nov 6 11:52:39 2019 max relations containing the same ideal: 20
  90. Wed Nov 6 11:53:03 2019 removing 4896602 relations and 2896602 ideals in 2000000 cliques
  91. Wed Nov 6 11:53:06 2019 commencing in-memory singleton removal
  92. Wed Nov 6 11:53:09 2019 begin with 37957221 relations and 24981401 unique ideals
  93. Wed Nov 6 11:53:30 2019 reduce to 37605353 relations and 21718436 ideals in 6 passes
  94. Wed Nov 6 11:53:30 2019 max relations containing the same ideal: 20
  95. Wed Nov 6 11:53:51 2019 removing 4913249 relations and 2913249 ideals in 2000000 cliques
  96. Wed Nov 6 11:53:54 2019 commencing in-memory singleton removal
  97. Wed Nov 6 11:53:56 2019 begin with 32692104 relations and 21718436 unique ideals
  98. Wed Nov 6 11:54:16 2019 reduce to 32333138 relations and 18429855 ideals in 7 passes
  99. Wed Nov 6 11:54:16 2019 max relations containing the same ideal: 19
  100. Wed Nov 6 11:54:33 2019 removing 4915125 relations and 2915125 ideals in 2000000 cliques
  101. Wed Nov 6 11:54:35 2019 commencing in-memory singleton removal
  102. Wed Nov 6 11:54:37 2019 begin with 27418013 relations and 18429855 unique ideals
  103. Wed Nov 6 11:54:52 2019 reduce to 26992987 relations and 15066558 ideals in 7 passes
  104. Wed Nov 6 11:54:52 2019 max relations containing the same ideal: 17
  105. Wed Nov 6 11:55:05 2019 removing 4935333 relations and 2935333 ideals in 2000000 cliques
  106. Wed Nov 6 11:55:07 2019 commencing in-memory singleton removal
  107. Wed Nov 6 11:55:09 2019 begin with 22057654 relations and 15066558 unique ideals
  108. Wed Nov 6 11:55:19 2019 reduce to 21568449 relations and 11609441 ideals in 7 passes
  109. Wed Nov 6 11:55:19 2019 max relations containing the same ideal: 15
  110. Wed Nov 6 11:55:29 2019 removing 1897618 relations and 1133187 ideals in 764431 cliques
  111. Wed Nov 6 11:55:31 2019 commencing in-memory singleton removal
  112. Wed Nov 6 11:55:32 2019 begin with 19670831 relations and 11609441 unique ideals
  113. Wed Nov 6 11:55:40 2019 reduce to 19457374 relations and 10253607 ideals in 7 passes
  114. Wed Nov 6 11:55:40 2019 max relations containing the same ideal: 15
  115. Wed Nov 6 11:55:50 2019 removing 25948 relations and 16758 ideals in 9190 cliques
  116. Wed Nov 6 11:55:50 2019 commencing in-memory singleton removal
  117. Wed Nov 6 11:55:52 2019 begin with 19431426 relations and 10253607 unique ideals
  118. Wed Nov 6 11:55:56 2019 reduce to 19431223 relations and 10236645 ideals in 4 passes
  119. Wed Nov 6 11:55:56 2019 max relations containing the same ideal: 15
  120. Wed Nov 6 11:55:58 2019 relations with 0 large ideals: 2834058
  121. Wed Nov 6 11:55:58 2019 relations with 1 large ideals: 7839075
  122. Wed Nov 6 11:55:58 2019 relations with 2 large ideals: 6630135
  123. Wed Nov 6 11:55:58 2019 relations with 3 large ideals: 1788716
  124. Wed Nov 6 11:55:58 2019 relations with 4 large ideals: 249744
  125. Wed Nov 6 11:55:58 2019 relations with 5 large ideals: 81542
  126. Wed Nov 6 11:55:58 2019 relations with 6 large ideals: 7944
  127. Wed Nov 6 11:55:58 2019 relations with 7+ large ideals: 9
  128. Wed Nov 6 11:55:58 2019 commencing 2-way merge
  129. Wed Nov 6 11:56:09 2019 reduce to 13273338 relation sets and 4078760 unique ideals
  130. Wed Nov 6 11:56:09 2019 commencing full merge
  131. Wed Nov 6 11:56:55 2019 memory use: 455.4 MB
  132. Wed Nov 6 11:56:56 2019 found 9194149 cycles, need 7926559
  133. Wed Nov 6 11:56:59 2019 weight of 7926559 cycles is about 296452533 (37.40/cycle)
  134. Wed Nov 6 11:56:59 2019 distribution of cycle lengths:
  135. Wed Nov 6 11:56:59 2019 1 relations: 2834058
  136. Wed Nov 6 11:56:59 2019 2 relations: 1411723
  137. Wed Nov 6 11:56:59 2019 3 relations: 1215257
  138. Wed Nov 6 11:56:59 2019 4 relations: 988226
  139. Wed Nov 6 11:56:59 2019 5 relations: 752626
  140. Wed Nov 6 11:56:59 2019 6 relations: 533704
  141. Wed Nov 6 11:56:59 2019 7 relations: 184994
  142. Wed Nov 6 11:56:59 2019 8 relations: 5908
  143. Wed Nov 6 11:56:59 2019 9 relations: 62
  144. Wed Nov 6 11:56:59 2019 10+ relations: 1
  145. Wed Nov 6 11:56:59 2019 heaviest cycle: 10 relations
  146. Wed Nov 6 11:57:00 2019 matrix not dense enough, retrying
  147. Wed Nov 6 11:57:01 2019 reading large ideals from disk
  148. Wed Nov 6 11:58:37 2019 keeping 59026066 ideals with weight <= 25, target excess is 6827766
  149. Wed Nov 6 12:00:13 2019 memory use: 2576.1 MB
  150. Wed Nov 6 12:00:13 2019 commencing in-memory singleton removal
  151. Wed Nov 6 12:00:29 2019 begin with 93724658 relations and 59026066 unique ideals
  152. Wed Nov 6 12:01:28 2019 reduce to 93723973 relations and 59025380 ideals in 4 passes
  153. Wed Nov 6 12:01:28 2019 max relations containing the same ideal: 25
  154. Wed Nov 6 12:02:42 2019 removing 6883995 relations and 4883995 ideals in 2000000 cliques
  155. Wed Nov 6 12:02:47 2019 commencing in-memory singleton removal
  156. Wed Nov 6 12:03:01 2019 begin with 86839978 relations and 59025380 unique ideals
  157. Wed Nov 6 12:04:45 2019 reduce to 86351583 relations and 53639971 ideals in 7 passes
  158. Wed Nov 6 12:04:45 2019 max relations containing the same ideal: 25
  159. Wed Nov 6 12:05:55 2019 removing 5727546 relations and 3727546 ideals in 2000000 cliques
  160. Wed Nov 6 12:05:59 2019 commencing in-memory singleton removal
  161. Wed Nov 6 12:06:12 2019 begin with 80624037 relations and 53639971 unique ideals
  162. Wed Nov 6 12:07:35 2019 reduce to 80294900 relations and 49575594 ideals in 6 passes
  163. Wed Nov 6 12:07:35 2019 max relations containing the same ideal: 25
  164. Wed Nov 6 12:08:39 2019 removing 5409335 relations and 3409335 ideals in 2000000 cliques
  165. Wed Nov 6 12:08:43 2019 commencing in-memory singleton removal
  166. Wed Nov 6 12:08:56 2019 begin with 74885565 relations and 49575594 unique ideals
  167. Wed Nov 6 12:10:18 2019 reduce to 74602503 relations and 45876421 ideals in 7 passes
  168. Wed Nov 6 12:10:18 2019 max relations containing the same ideal: 25
  169. Wed Nov 6 12:11:14 2019 removing 5248308 relations and 3248308 ideals in 2000000 cliques
  170. Wed Nov 6 12:11:17 2019 commencing in-memory singleton removal
  171. Wed Nov 6 12:11:27 2019 begin with 69354195 relations and 45876421 unique ideals
  172. Wed Nov 6 12:12:35 2019 reduce to 69097743 relations and 42365402 ideals in 6 passes
  173. Wed Nov 6 12:12:35 2019 max relations containing the same ideal: 25
  174. Wed Nov 6 12:13:29 2019 removing 5124392 relations and 3124392 ideals in 2000000 cliques
  175. Wed Nov 6 12:13:33 2019 commencing in-memory singleton removal
  176. Wed Nov 6 12:13:43 2019 begin with 63973351 relations and 42365402 unique ideals
  177. Wed Nov 6 12:14:57 2019 reduce to 63717429 relations and 38978293 ideals in 8 passes
  178. Wed Nov 6 12:14:57 2019 max relations containing the same ideal: 25
  179. Wed Nov 6 12:15:41 2019 removing 5054289 relations and 3054289 ideals in 2000000 cliques
  180. Wed Nov 6 12:15:44 2019 commencing in-memory singleton removal
  181. Wed Nov 6 12:15:52 2019 begin with 58663140 relations and 38978293 unique ideals
  182. Wed Nov 6 12:16:40 2019 reduce to 58411211 relations and 35665099 ideals in 6 passes
  183. Wed Nov 6 12:16:40 2019 max relations containing the same ideal: 25
  184. Wed Nov 6 12:17:23 2019 removing 5000294 relations and 3000294 ideals in 2000000 cliques
  185. Wed Nov 6 12:17:26 2019 commencing in-memory singleton removal
  186. Wed Nov 6 12:17:33 2019 begin with 53410917 relations and 35665099 unique ideals
  187. Wed Nov 6 12:18:17 2019 reduce to 53149433 relations and 32395373 ideals in 6 passes
  188. Wed Nov 6 12:18:17 2019 max relations containing the same ideal: 24
  189. Wed Nov 6 12:18:53 2019 removing 4962137 relations and 2962137 ideals in 2000000 cliques
  190. Wed Nov 6 12:18:56 2019 commencing in-memory singleton removal
  191. Wed Nov 6 12:19:02 2019 begin with 48187296 relations and 32395373 unique ideals
  192. Wed Nov 6 12:19:44 2019 reduce to 47918405 relations and 29155686 ideals in 7 passes
  193. Wed Nov 6 12:19:44 2019 max relations containing the same ideal: 24
  194. Wed Nov 6 12:20:15 2019 removing 4928707 relations and 2928707 ideals in 2000000 cliques
  195. Wed Nov 6 12:20:18 2019 commencing in-memory singleton removal
  196. Wed Nov 6 12:20:23 2019 begin with 42989698 relations and 29155686 unique ideals
  197. Wed Nov 6 12:20:56 2019 reduce to 42690997 relations and 25917675 ideals in 6 passes
  198. Wed Nov 6 12:20:56 2019 max relations containing the same ideal: 23
  199. Wed Nov 6 12:21:24 2019 removing 4933100 relations and 2933100 ideals in 2000000 cliques
  200. Wed Nov 6 12:21:27 2019 commencing in-memory singleton removal
  201. Wed Nov 6 12:21:31 2019 begin with 37757897 relations and 25917675 unique ideals
  202. Wed Nov 6 12:22:02 2019 reduce to 37454777 relations and 22669734 ideals in 7 passes
  203. Wed Nov 6 12:22:02 2019 max relations containing the same ideal: 22
  204. Wed Nov 6 12:22:26 2019 removing 4895659 relations and 2895659 ideals in 2000000 cliques
  205. Wed Nov 6 12:22:28 2019 commencing in-memory singleton removal
  206. Wed Nov 6 12:22:32 2019 begin with 32559118 relations and 22669734 unique ideals
  207. Wed Nov 6 12:22:58 2019 reduce to 32174369 relations and 19371427 ideals in 7 passes
  208. Wed Nov 6 12:22:58 2019 max relations containing the same ideal: 21
  209. Wed Nov 6 12:23:17 2019 removing 4937925 relations and 2937925 ideals in 2000000 cliques
  210. Wed Nov 6 12:23:20 2019 commencing in-memory singleton removal
  211. Wed Nov 6 12:23:23 2019 begin with 27236444 relations and 19371427 unique ideals
  212. Wed Nov 6 12:23:41 2019 reduce to 26841023 relations and 16017508 ideals in 7 passes
  213. Wed Nov 6 12:23:41 2019 max relations containing the same ideal: 19
  214. Wed Nov 6 12:23:58 2019 removing 4942943 relations and 2942943 ideals in 2000000 cliques
  215. Wed Nov 6 12:24:00 2019 commencing in-memory singleton removal
  216. Wed Nov 6 12:24:02 2019 begin with 21898080 relations and 16017508 unique ideals
  217. Wed Nov 6 12:24:16 2019 reduce to 21415409 relations and 12561516 ideals in 7 passes
  218. Wed Nov 6 12:24:16 2019 max relations containing the same ideal: 17
  219. Wed Nov 6 12:24:27 2019 removing 2361695 relations and 1428011 ideals in 933684 cliques
  220. Wed Nov 6 12:24:29 2019 commencing in-memory singleton removal
  221. Wed Nov 6 12:24:30 2019 begin with 19053714 relations and 12561516 unique ideals
  222. Wed Nov 6 12:24:39 2019 reduce to 18784472 relations and 10851118 ideals in 6 passes
  223. Wed Nov 6 12:24:39 2019 max relations containing the same ideal: 16
  224. Wed Nov 6 12:24:50 2019 removing 41408 relations and 28263 ideals in 13145 cliques
  225. Wed Nov 6 12:24:51 2019 commencing in-memory singleton removal
  226. Wed Nov 6 12:24:52 2019 begin with 18743064 relations and 10851118 unique ideals
  227. Wed Nov 6 12:24:59 2019 reduce to 18742681 relations and 10822472 ideals in 5 passes
  228. Wed Nov 6 12:24:59 2019 max relations containing the same ideal: 16
  229. Wed Nov 6 12:25:01 2019 relations with 0 large ideals: 1954176
  230. Wed Nov 6 12:25:01 2019 relations with 1 large ideals: 6222722
  231. Wed Nov 6 12:25:01 2019 relations with 2 large ideals: 6913272
  232. Wed Nov 6 12:25:01 2019 relations with 3 large ideals: 2834753
  233. Wed Nov 6 12:25:01 2019 relations with 4 large ideals: 589031
  234. Wed Nov 6 12:25:01 2019 relations with 5 large ideals: 203057
  235. Wed Nov 6 12:25:01 2019 relations with 6 large ideals: 25464
  236. Wed Nov 6 12:25:01 2019 relations with 7+ large ideals: 206
  237. Wed Nov 6 12:25:01 2019 commencing 2-way merge
  238. Wed Nov 6 12:25:15 2019 reduce to 12946441 relation sets and 5026232 unique ideals
  239. Wed Nov 6 12:25:15 2019 commencing full merge
  240. Wed Nov 6 12:26:35 2019 memory use: 519.6 MB
  241. Wed Nov 6 12:26:36 2019 found 7886993 cycles, need 6827966
  242. Wed Nov 6 12:26:39 2019 weight of 6827966 cycles is about 382967797 (56.09/cycle)
  243. Wed Nov 6 12:26:39 2019 distribution of cycle lengths:
  244. Wed Nov 6 12:26:39 2019 1 relations: 1954176
  245. Wed Nov 6 12:26:39 2019 2 relations: 884099
  246. Wed Nov 6 12:26:39 2019 3 relations: 722901
  247. Wed Nov 6 12:26:39 2019 4 relations: 644266
  248. Wed Nov 6 12:26:39 2019 5 relations: 578466
  249. Wed Nov 6 12:26:39 2019 6 relations: 501324
  250. Wed Nov 6 12:26:39 2019 7 relations: 433140
  251. Wed Nov 6 12:26:39 2019 8 relations: 360076
  252. Wed Nov 6 12:26:39 2019 9 relations: 300236
  253. Wed Nov 6 12:26:39 2019 10+ relations: 449282
  254. Wed Nov 6 12:26:39 2019 heaviest cycle: 14 relations
  255. Wed Nov 6 12:26:40 2019 matrix not dense enough, retrying
  256. Wed Nov 6 12:26:41 2019 reading large ideals from disk
  257. Wed Nov 6 12:28:32 2019 keeping 60219053 ideals with weight <= 30, target excess is 5634779
  258. Wed Nov 6 12:30:34 2019 memory use: 2576.1 MB
  259. Wed Nov 6 12:30:34 2019 commencing in-memory singleton removal
  260. Wed Nov 6 12:30:53 2019 begin with 93724658 relations and 60219053 unique ideals
  261. Wed Nov 6 12:32:08 2019 reduce to 93723973 relations and 60218367 ideals in 4 passes
  262. Wed Nov 6 12:32:08 2019 max relations containing the same ideal: 30
  263. Wed Nov 6 12:33:32 2019 removing 6951381 relations and 4951381 ideals in 2000000 cliques
  264. Wed Nov 6 12:33:37 2019 commencing in-memory singleton removal
  265. Wed Nov 6 12:33:52 2019 begin with 86772592 relations and 60218367 unique ideals
  266. Wed Nov 6 12:35:47 2019 reduce to 86289189 relations and 54770751 ideals in 7 passes
  267. Wed Nov 6 12:35:47 2019 max relations containing the same ideal: 30
  268. Wed Nov 6 12:37:03 2019 removing 5758530 relations and 3758530 ideals in 2000000 cliques
  269. Wed Nov 6 12:37:08 2019 commencing in-memory singleton removal
  270. Wed Nov 6 12:37:24 2019 begin with 80530659 relations and 54770751 unique ideals
  271. Wed Nov 6 12:39:05 2019 reduce to 80203767 relations and 50677577 ideals in 7 passes
  272. Wed Nov 6 12:39:05 2019 max relations containing the same ideal: 30
  273. Wed Nov 6 12:40:12 2019 removing 5435757 relations and 3435757 ideals in 2000000 cliques
  274. Wed Nov 6 12:40:16 2019 commencing in-memory singleton removal
  275. Wed Nov 6 12:40:28 2019 begin with 74768010 relations and 50677577 unique ideals
  276. Wed Nov 6 12:42:04 2019 reduce to 74488309 relations and 46955368 ideals in 7 passes
  277. Wed Nov 6 12:42:04 2019 max relations containing the same ideal: 30
  278. Wed Nov 6 12:43:06 2019 removing 5260766 relations and 3260766 ideals in 2000000 cliques
  279. Wed Nov 6 12:43:10 2019 commencing in-memory singleton removal
  280. Wed Nov 6 12:43:21 2019 begin with 69227543 relations and 46955368 unique ideals
  281. Wed Nov 6 12:44:33 2019 reduce to 68970090 relations and 43430707 ideals in 6 passes
  282. Wed Nov 6 12:44:33 2019 max relations containing the same ideal: 30
  283. Wed Nov 6 12:45:32 2019 removing 5148492 relations and 3148492 ideals in 2000000 cliques
  284. Wed Nov 6 12:45:35 2019 commencing in-memory singleton removal
  285. Wed Nov 6 12:45:45 2019 begin with 63821598 relations and 43430707 unique ideals
  286. Wed Nov 6 12:46:56 2019 reduce to 63572811 relations and 40026868 ideals in 7 passes
  287. Wed Nov 6 12:46:56 2019 max relations containing the same ideal: 30
  288. Wed Nov 6 12:47:46 2019 removing 5061667 relations and 3061667 ideals in 2000000 cliques
  289. Wed Nov 6 12:47:50 2019 commencing in-memory singleton removal
  290. Wed Nov 6 12:47:58 2019 begin with 58511144 relations and 40026868 unique ideals
  291. Wed Nov 6 12:48:54 2019 reduce to 58257861 relations and 36704930 ideals in 6 passes
  292. Wed Nov 6 12:48:54 2019 max relations containing the same ideal: 29
  293. Wed Nov 6 12:49:41 2019 removing 5013198 relations and 3013198 ideals in 2000000 cliques
  294. Wed Nov 6 12:49:44 2019 commencing in-memory singleton removal
  295. Wed Nov 6 12:49:52 2019 begin with 53244663 relations and 36704930 unique ideals
  296. Wed Nov 6 12:50:47 2019 reduce to 52988414 relations and 33427727 ideals in 7 passes
  297. Wed Nov 6 12:50:47 2019 max relations containing the same ideal: 28
  298. Wed Nov 6 12:51:28 2019 removing 4971171 relations and 2971171 ideals in 2000000 cliques
  299. Wed Nov 6 12:51:32 2019 commencing in-memory singleton removal
  300. Wed Nov 6 12:51:38 2019 begin with 48017243 relations and 33427727 unique ideals
  301. Wed Nov 6 12:52:18 2019 reduce to 47749903 relations and 30180688 ideals in 6 passes
  302. Wed Nov 6 12:52:18 2019 max relations containing the same ideal: 28
  303. Wed Nov 6 12:52:55 2019 removing 4939841 relations and 2939841 ideals in 2000000 cliques
  304. Wed Nov 6 12:52:58 2019 commencing in-memory singleton removal
  305. Wed Nov 6 12:53:04 2019 begin with 42810062 relations and 30180688 unique ideals
  306. Wed Nov 6 12:53:40 2019 reduce to 42520319 relations and 26941019 ideals in 6 passes
  307. Wed Nov 6 12:53:40 2019 max relations containing the same ideal: 27
  308. Wed Nov 6 12:54:11 2019 removing 4936604 relations and 2936604 ideals in 2000000 cliques
  309. Wed Nov 6 12:54:14 2019 commencing in-memory singleton removal
  310. Wed Nov 6 12:54:19 2019 begin with 37583715 relations and 26941019 unique ideals
  311. Wed Nov 6 12:54:50 2019 reduce to 37276803 relations and 23685472 ideals in 6 passes
  312. Wed Nov 6 12:54:50 2019 max relations containing the same ideal: 25
  313. Wed Nov 6 12:55:16 2019 removing 4911749 relations and 2911749 ideals in 2000000 cliques
  314. Wed Nov 6 12:55:19 2019 commencing in-memory singleton removal
  315. Wed Nov 6 12:55:22 2019 begin with 32365054 relations and 23685472 unique ideals
  316. Wed Nov 6 12:55:50 2019 reduce to 32011693 relations and 20404476 ideals in 7 passes
  317. Wed Nov 6 12:55:50 2019 max relations containing the same ideal: 24
  318. Wed Nov 6 12:56:12 2019 removing 4936564 relations and 2936564 ideals in 2000000 cliques
  319. Wed Nov 6 12:56:15 2019 commencing in-memory singleton removal
  320. Wed Nov 6 12:56:18 2019 begin with 27075129 relations and 20404476 unique ideals
  321. Wed Nov 6 12:56:38 2019 reduce to 26690392 relations and 17063767 ideals in 7 passes
  322. Wed Nov 6 12:56:38 2019 max relations containing the same ideal: 22
  323. Wed Nov 6 12:56:56 2019 removing 4939261 relations and 2939261 ideals in 2000000 cliques
  324. Wed Nov 6 12:56:59 2019 commencing in-memory singleton removal
  325. Wed Nov 6 12:57:01 2019 begin with 21751131 relations and 17063767 unique ideals
  326. Wed Nov 6 12:57:16 2019 reduce to 21263158 relations and 13606223 ideals in 7 passes
  327. Wed Nov 6 12:57:16 2019 max relations containing the same ideal: 20
  328. Wed Nov 6 12:57:30 2019 removing 2856182 relations and 1735591 ideals in 1120591 cliques
  329. Wed Nov 6 12:57:32 2019 commencing in-memory singleton removal
  330. Wed Nov 6 12:57:34 2019 begin with 18406976 relations and 13606223 unique ideals
  331. Wed Nov 6 12:57:46 2019 reduce to 18083119 relations and 11530011 ideals in 7 passes
  332. Wed Nov 6 12:57:46 2019 max relations containing the same ideal: 20
  333. Wed Nov 6 12:57:57 2019 removing 60165 relations and 43401 ideals in 16764 cliques
  334. Wed Nov 6 12:57:59 2019 commencing in-memory singleton removal
  335. Wed Nov 6 12:58:00 2019 begin with 18022954 relations and 11530011 unique ideals
  336. Wed Nov 6 12:58:07 2019 reduce to 18022357 relations and 11486013 ideals in 4 passes
  337. Wed Nov 6 12:58:07 2019 max relations containing the same ideal: 20
  338. Wed Nov 6 12:58:10 2019 relations with 0 large ideals: 1218186
  339. Wed Nov 6 12:58:10 2019 relations with 1 large ideals: 4393784
  340. Wed Nov 6 12:58:10 2019 relations with 2 large ideals: 6509953
  341. Wed Nov 6 12:58:10 2019 relations with 3 large ideals: 4074819
  342. Wed Nov 6 12:58:10 2019 relations with 4 large ideals: 1316158
  343. Wed Nov 6 12:58:10 2019 relations with 5 large ideals: 428111
  344. Wed Nov 6 12:58:10 2019 relations with 6 large ideals: 79101
  345. Wed Nov 6 12:58:10 2019 relations with 7+ large ideals: 2245
  346. Wed Nov 6 12:58:10 2019 commencing 2-way merge
  347. Wed Nov 6 12:58:24 2019 reduce to 12604017 relation sets and 6067673 unique ideals
  348. Wed Nov 6 12:58:24 2019 commencing full merge
  349. Wed Nov 6 13:01:06 2019 memory use: 582.3 MB
  350. Wed Nov 6 13:01:08 2019 found 6335301 cycles, need 5721873
  351. Wed Nov 6 13:01:10 2019 weight of 5721873 cycles is about 556528650 (97.26/cycle)
  352. Wed Nov 6 13:01:10 2019 distribution of cycle lengths:
  353. Wed Nov 6 13:01:10 2019 1 relations: 1218467
  354. Wed Nov 6 13:01:10 2019 2 relations: 467442
  355. Wed Nov 6 13:01:10 2019 3 relations: 372355
  356. Wed Nov 6 13:01:10 2019 4 relations: 339784
  357. Wed Nov 6 13:01:10 2019 5 relations: 331109
  358. Wed Nov 6 13:01:10 2019 6 relations: 320376
  359. Wed Nov 6 13:01:10 2019 7 relations: 310003
  360. Wed Nov 6 13:01:10 2019 8 relations: 295880
  361. Wed Nov 6 13:01:10 2019 9 relations: 280372
  362. Wed Nov 6 13:01:10 2019 10+ relations: 1786085
  363. Wed Nov 6 13:01:10 2019 heaviest cycle: 24 relations
  364. Wed Nov 6 13:01:11 2019 commencing cycle optimization
  365. Wed Nov 6 13:01:31 2019 start with 39806460 relations
  366. Wed Nov 6 13:04:11 2019 pruned 4866949 relations
  367. Wed Nov 6 13:04:12 2019 memory use: 1001.7 MB
  368. Wed Nov 6 13:04:12 2019 distribution of cycle lengths:
  369. Wed Nov 6 13:04:12 2019 1 relations: 1218467
  370. Wed Nov 6 13:04:12 2019 2 relations: 492303
  371. Wed Nov 6 13:04:12 2019 3 relations: 408307
  372. Wed Nov 6 13:04:12 2019 4 relations: 385384
  373. Wed Nov 6 13:04:12 2019 5 relations: 390291
  374. Wed Nov 6 13:04:12 2019 6 relations: 385906
  375. Wed Nov 6 13:04:12 2019 7 relations: 380025
  376. Wed Nov 6 13:04:12 2019 8 relations: 358618
  377. Wed Nov 6 13:04:12 2019 9 relations: 334634
  378. Wed Nov 6 13:04:12 2019 10+ relations: 1367938
  379. Wed Nov 6 13:04:12 2019 heaviest cycle: 23 relations
  380. Wed Nov 6 13:04:19 2019 RelProcTime: 11220
  381. Wed Nov 6 13:04:19 2019 elapsed time 03:07:05
  382. Wed Nov 6 13:08:10 2019
  383. Wed Nov 6 13:08:10 2019
  384. Wed Nov 6 13:08:10 2019 Msieve v. 1.52 (SVN exported)
  385. Wed Nov 6 13:08:10 2019 random seeds: f9d8c402 77f36be8
  386. Wed Nov 6 13:08:10 2019 factoring 3453468674703923247257578949716572927109152541969930672010383108878273072117209359971041631066047338531213480424063181929613979030756799113828316491136247201377491261729330921852223064662519677 (193 digits)
  387. Wed Nov 6 13:08:12 2019 searching for 15-digit factors
  388. Wed Nov 6 13:08:15 2019 commencing number field sieve (193-digit input)
  389. Wed Nov 6 13:08:15 2019 R0: 6626407623023341735842836810834443894680475442
  390. Wed Nov 6 13:08:15 2019 R1: -318270182965192022252424017587489077700729
  391. Wed Nov 6 13:08:15 2019 A0: -1
  392. Wed Nov 6 13:08:15 2019 A1: 3
  393. Wed Nov 6 13:08:15 2019 A2: 3
  394. Wed Nov 6 13:08:15 2019 A3: -4
  395. Wed Nov 6 13:08:15 2019 A4: -1
  396. Wed Nov 6 13:08:15 2019 A5: 1
  397. Wed Nov 6 13:08:15 2019 skew 1.00, size 1.354e-15, alpha 2.379, combined = 1.146e-12 rroots = 5
  398. Wed Nov 6 13:08:15 2019
  399. Wed Nov 6 13:08:15 2019 commencing linear algebra
  400. Wed Nov 6 13:08:17 2019 read 5721873 cycles
  401. Wed Nov 6 13:08:34 2019 cycles contain 15535139 unique relations
  402. Wed Nov 6 13:14:59 2019 read 15535139 relations
  403. Wed Nov 6 13:15:54 2019 using 20 quadratic characters above 1073738624
  404. Wed Nov 6 13:17:41 2019 building initial matrix
  405. Wed Nov 6 13:23:13 2019 memory use: 1987.8 MB
  406. Wed Nov 6 13:23:18 2019 read 5721873 cycles
  407. Wed Nov 6 13:23:20 2019 matrix is 5720622 x 5721873 (2015.1 MB) with weight 575818218 (100.63/col)
  408. Wed Nov 6 13:23:20 2019 sparse part has weight 465314602 (81.32/col)
  409. Wed Nov 6 13:27:31 2019 filtering completed in 3 passes
  410. Wed Nov 6 13:27:34 2019 matrix is 5698402 x 5698602 (2010.4 MB) with weight 574428230 (100.80/col)
  411. Wed Nov 6 13:27:34 2019 sparse part has weight 464336229 (81.48/col)
  412. Wed Nov 6 13:28:07 2019 matrix starts at (0, 0)
  413. Wed Nov 6 13:28:09 2019 matrix is 5698402 x 5698602 (2010.4 MB) with weight 574428230 (100.80/col)
  414. Wed Nov 6 13:28:09 2019 sparse part has weight 464336229 (81.48/col)
  415. Wed Nov 6 13:28:09 2019 saving the first 48 matrix rows for later
  416. Wed Nov 6 13:28:10 2019 matrix includes 64 packed rows
  417. Wed Nov 6 13:28:12 2019 matrix is 5698354 x 5698602 (1919.6 MB) with weight 478368563 (83.94/col)
  418. Wed Nov 6 13:28:12 2019 sparse part has weight 446231591 (78.31/col)
  419. Wed Nov 6 13:28:12 2019 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  420. Wed Nov 6 13:28:45 2019 commencing Lanczos iteration (4 threads)
  421. Wed Nov 6 13:28:45 2019 memory use: 1593.3 MB
  422. Wed Nov 6 13:29:28 2019 linear algebra at 0.0%, ETA 43h59m
  423. Wed Nov 6 13:29:40 2019 checkpointing every 140000 dimensions
  424. Fri Nov 8 01:30:16 2019 lanczos halted after 90113 iterations (dim = 5698348)
  425. Fri Nov 8 01:30:25 2019 recovered 33 nontrivial dependencies
  426. Fri Nov 8 01:30:25 2019 BLanczosTime: 130930
  427. Fri Nov 8 01:30:25 2019
  428. Fri Nov 8 01:30:25 2019 commencing square root phase
  429. Fri Nov 8 01:30:25 2019 reading relations for dependency 1
  430. Fri Nov 8 01:30:26 2019 read 2846799 cycles
  431. Fri Nov 8 01:30:34 2019 cycles contain 7755138 unique relations
  432. Fri Nov 8 01:35:02 2019 read 7755138 relations
  433. Fri Nov 8 01:36:12 2019 multiplying 7755138 relations
  434. Fri Nov 8 01:41:45 2019 multiply complete, coefficients have about 192.24 million bits
  435. Fri Nov 8 01:41:47 2019 initial square root is modulo 7925557
  436. Fri Nov 8 01:48:36 2019 sqrtTime: 1091
  437. Fri Nov 8 01:48:36 2019 prp53 factor: 12162794501913992585581638449547391118373840760988633
  438. Fri Nov 8 01:48:36 2019 prp141 factor: 283937106243180358850642901005566360692698670844695789117204304543488673026540711598055892329223133890145033457124622449530830651182116288069
  439. Fri Nov 8 01:48:36 2019 elapsed time 36:40:26
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