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C165_2745256771_23 Msieve Log

a guest Aug 29th, 2017 67 Never
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  1. Tue Aug 22 16:10:42 2017  
  2. Tue Aug 22 16:10:42 2017  
  3. Tue Aug 22 16:10:42 2017  Msieve v. 1.53 (SVN 988)
  4. Tue Aug 22 16:10:42 2017  random seeds: cde615ec baf479f0
  5. Tue Aug 22 16:10:42 2017  factoring 206624234787895127079635689160853271138184247037852040138807151313105472767301151006671925566833211427212893401789666545317553145123303517053270920352192996234823109 (165 digits)
  6. Tue Aug 22 16:10:44 2017  searching for 15-digit factors
  7. Tue Aug 22 16:10:44 2017  commencing number field sieve (165-digit input)
  8. Tue Aug 22 16:10:44 2017  R0: -56797848571005889396690475603943366481
  9. Tue Aug 22 16:10:44 2017  R1: 1
  10. Tue Aug 22 16:10:44 2017  A0: -2745256771
  11. Tue Aug 22 16:10:44 2017  A1: 0
  12. Tue Aug 22 16:10:44 2017  A2: 0
  13. Tue Aug 22 16:10:44 2017  A3: 0
  14. Tue Aug 22 16:10:44 2017  A4: 0
  15. Tue Aug 22 16:10:44 2017  A5: 0
  16. Tue Aug 22 16:10:44 2017  A6: 1
  17. Tue Aug 22 16:10:44 2017  skew 37.42, size 5.184e-012, alpha 0.141, combined = 4.114e-013 rroots = 2
  18. Tue Aug 22 16:10:45 2017  
  19. Tue Aug 22 16:10:45 2017  commencing relation filtering
  20. Tue Aug 22 16:10:45 2017  setting target matrix density to 130.0
  21. Tue Aug 22 16:10:45 2017  estimated available RAM is 8106.1 MB
  22. Tue Aug 22 16:10:45 2017  commencing duplicate removal, pass 1
  23. Tue Aug 22 16:11:18 2017  error -9 reading relation 1894472
  24. Tue Aug 22 16:11:19 2017  error -5 reading relation 1925658
  25. Tue Aug 22 16:11:21 2017  error -9 reading relation 2023131
  26. Tue Aug 22 16:15:21 2017  error -9 reading relation 15732532
  27. Tue Aug 22 16:16:24 2017  error -9 reading relation 19374368
  28. Tue Aug 22 16:16:38 2017  error -15 reading relation 20176673
  29. Tue Aug 22 16:16:55 2017  error -9 reading relation 21156062
  30. Tue Aug 22 16:16:55 2017  error -15 reading relation 21158864
  31. Tue Aug 22 16:16:55 2017  error -9 reading relation 21162466
  32. Tue Aug 22 16:17:03 2017  error -9 reading relation 21599683
  33. Tue Aug 22 16:17:03 2017  error -9 reading relation 21608341
  34. Tue Aug 22 16:17:03 2017  error -9 reading relation 21611711
  35. Tue Aug 22 16:17:08 2017  error -15 reading relation 21866294
  36. Tue Aug 22 16:17:08 2017  error -9 reading relation 21874740
  37. Tue Aug 22 16:17:08 2017  error -9 reading relation 21880231
  38. Tue Aug 22 16:17:22 2017  error -1 reading relation 22684031
  39. Tue Aug 22 16:17:30 2017  error -1 reading relation 23147708
  40. Tue Aug 22 16:17:32 2017  error -15 reading relation 23254563
  41. Tue Aug 22 16:17:32 2017  error -15 reading relation 23288231
  42. Tue Aug 22 16:18:47 2017  error -9 reading relation 27551460
  43. Tue Aug 22 16:18:52 2017  error -9 reading relation 27865818
  44. Tue Aug 22 16:18:52 2017  error -15 reading relation 27869100
  45. Tue Aug 22 16:19:40 2017  error -15 reading relation 30592874
  46. Tue Aug 22 16:21:35 2017  error -9 reading relation 37079643
  47. Tue Aug 22 16:23:19 2017  error -9 reading relation 42971946
  48. Tue Aug 22 16:23:24 2017  error -1 reading relation 43217872
  49. Tue Aug 22 16:24:03 2017  error -9 reading relation 45528906
  50. Tue Aug 22 16:25:13 2017  error -9 reading relation 49604523
  51. Tue Aug 22 16:25:37 2017  error -15 reading relation 50958375
  52. Tue Aug 22 16:25:51 2017  error -5 reading relation 51762840
  53. Tue Aug 22 16:25:56 2017  error -15 reading relation 52046494
  54. Tue Aug 22 16:26:23 2017  error -5 reading relation 53559845
  55. Tue Aug 22 16:26:59 2017  error -15 reading relation 55523140
  56. Tue Aug 22 16:27:41 2017  error -15 reading relation 58007652
  57. Tue Aug 22 16:28:42 2017  error -15 reading relation 61498982
  58. Tue Aug 22 16:28:46 2017  error -9 reading relation 61693012
  59. Tue Aug 22 16:30:29 2017  error -9 reading relation 67400846
  60. Tue Aug 22 16:32:23 2017  error -9 reading relation 73811841
  61. Tue Aug 22 16:32:29 2017  error -15 reading relation 74114915
  62. Tue Aug 22 16:32:34 2017  error -9 reading relation 74436131
  63. Tue Aug 22 16:33:00 2017  error -9 reading relation 75893787
  64. Tue Aug 22 16:34:29 2017  error -9 reading relation 80930856
  65. Tue Aug 22 16:34:42 2017  error -1 reading relation 81742595
  66. Tue Aug 22 16:34:47 2017  error -9 reading relation 82050728
  67. Tue Aug 22 16:35:40 2017  error -9 reading relation 85156122
  68. Tue Aug 22 16:36:03 2017  error -9 reading relation 86520418
  69. Tue Aug 22 16:55:39 2017  error -5 reading relation 145956153
  70. Tue Aug 22 16:55:48 2017  error -9 reading relation 146320584
  71. Tue Aug 22 16:56:57 2017  error -9 reading relation 149059667
  72. Tue Aug 22 16:57:58 2017  error -5 reading relation 151352543
  73. Tue Aug 22 17:01:05 2017  error -1 reading relation 159676438
  74. Tue Aug 22 17:01:07 2017  error -9 reading relation 159778584
  75. Tue Aug 22 17:01:46 2017  error -5 reading relation 161548866
  76. Tue Aug 22 17:03:27 2017  error -15 reading relation 166234379
  77. Tue Aug 22 17:04:22 2017  error -5 reading relation 168822919
  78. Tue Aug 22 17:07:15 2017  error -1 reading relation 176958693
  79. Tue Aug 22 17:08:26 2017  error -5 reading relation 180265936
  80. Tue Aug 22 17:10:04 2017  error -1 reading relation 184788206
  81. Tue Aug 22 17:20:14 2017  error -9 reading relation 213652456
  82. Tue Aug 22 17:22:26 2017  error -9 reading relation 219139509
  83. Tue Aug 22 17:22:26 2017  error -1 reading relation 219154703
  84. Tue Aug 22 17:26:39 2017  error -1 reading relation 230704113
  85. Tue Aug 22 17:28:25 2017  error -1 reading relation 235597884
  86. Tue Aug 22 17:30:21 2017  error -15 reading relation 241111350
  87. Tue Aug 22 17:30:55 2017  error -5 reading relation 242799508
  88. Tue Aug 22 17:32:02 2017  error -9 reading relation 245869457
  89. Tue Aug 22 17:32:56 2017  error -15 reading relation 248420626
  90. Tue Aug 22 17:32:58 2017  error -9 reading relation 248559492
  91. Tue Aug 22 17:32:59 2017  error -9 reading relation 248561542
  92. Tue Aug 22 17:32:59 2017  error -15 reading relation 248568440
  93. Tue Aug 22 17:33:00 2017  error -9 reading relation 248578445
  94. Tue Aug 22 17:33:00 2017  error -9 reading relation 248585966
  95. Tue Aug 22 17:34:12 2017  skipped 1 relations with b > 2^32
  96. Tue Aug 22 17:34:12 2017  skipped 39 relations with composite factors
  97. Tue Aug 22 17:34:12 2017  found 48544133 hash collisions in 251922935 relations
  98. Tue Aug 22 17:34:56 2017  added 1218781 free relations
  99. Tue Aug 22 17:34:56 2017  commencing duplicate removal, pass 2
  100. Tue Aug 22 17:40:23 2017  found 46533794 duplicates and 206607922 unique relations
  101. Tue Aug 22 17:40:23 2017  memory use: 1321.5 MB
  102. Tue Aug 22 17:40:23 2017  reading ideals above 139919360
  103. Tue Aug 22 17:40:23 2017  commencing singleton removal, initial pass
  104. Tue Aug 22 18:38:17 2017  memory use: 3012.0 MB
  105. Tue Aug 22 18:38:18 2017  reading all ideals from disk
  106. Tue Aug 22 18:39:10 2017  memory use: 3497.9 MB
  107. Tue Aug 22 18:39:27 2017  commencing in-memory singleton removal
  108. Tue Aug 22 18:39:43 2017  begin with 206607922 relations and 162165601 unique ideals
  109. Tue Aug 22 18:43:24 2017  reduce to 142543997 relations and 92194618 ideals in 14 passes
  110. Tue Aug 22 18:43:24 2017  max relations containing the same ideal: 46
  111. Tue Aug 22 18:43:51 2017  reading ideals above 720000
  112. Tue Aug 22 18:43:52 2017  commencing singleton removal, initial pass
  113. Tue Aug 22 19:30:58 2017  memory use: 3012.0 MB
  114. Tue Aug 22 19:30:59 2017  reading large ideals from disk
  115. Tue Aug 22 19:35:47 2017  keeping 96218582 ideals with weight <= 20, target excess is 11792316
  116. Tue Aug 22 19:40:51 2017  memory use: 3667.0 MB
  117. Tue Aug 22 19:40:51 2017  commencing in-memory singleton removal
  118. Tue Aug 22 19:41:02 2017  begin with 142543997 relations and 96218582 unique ideals
  119. Tue Aug 22 19:42:30 2017  reduce to 142542751 relations and 96217336 ideals in 6 passes
  120. Tue Aug 22 19:42:30 2017  max relations containing the same ideal: 20
  121. Tue Aug 22 19:43:40 2017  removing 9410344 relations and 7410344 ideals in 2000000 cliques
  122. Tue Aug 22 19:43:45 2017  commencing in-memory singleton removal
  123. Tue Aug 22 19:43:55 2017  begin with 133132407 relations and 96217336 unique ideals
  124. Tue Aug 22 19:45:31 2017  reduce to 132574098 relations and 88238591 ideals in 7 passes
  125. Tue Aug 22 19:45:31 2017  max relations containing the same ideal: 20
  126. Tue Aug 22 19:46:35 2017  removing 7203437 relations and 5203437 ideals in 2000000 cliques
  127. Tue Aug 22 19:46:40 2017  commencing in-memory singleton removal
  128. Tue Aug 22 19:46:49 2017  begin with 125370661 relations and 88238591 unique ideals
  129. Tue Aug 22 19:48:17 2017  reduce to 124993730 relations and 82652233 ideals in 7 passes
  130. Tue Aug 22 19:48:17 2017  max relations containing the same ideal: 20
  131. Tue Aug 22 19:49:16 2017  removing 6634082 relations and 4634082 ideals in 2000000 cliques
  132. Tue Aug 22 19:49:21 2017  commencing in-memory singleton removal
  133. Tue Aug 22 19:49:29 2017  begin with 118359648 relations and 82652233 unique ideals
  134. Tue Aug 22 19:51:01 2017  reduce to 118039157 relations and 77692426 ideals in 8 passes
  135. Tue Aug 22 19:51:01 2017  max relations containing the same ideal: 20
  136. Tue Aug 22 19:51:58 2017  removing 6317942 relations and 4317942 ideals in 2000000 cliques
  137. Tue Aug 22 19:52:02 2017  commencing in-memory singleton removal
  138. Tue Aug 22 19:52:09 2017  begin with 111721215 relations and 77692426 unique ideals
  139. Tue Aug 22 19:53:24 2017  reduce to 111423618 relations and 73072013 ideals in 7 passes
  140. Tue Aug 22 19:53:24 2017  max relations containing the same ideal: 20
  141. Tue Aug 22 19:54:15 2017  removing 6142017 relations and 4142017 ideals in 2000000 cliques
  142. Tue Aug 22 19:54:19 2017  commencing in-memory singleton removal
  143. Tue Aug 22 19:54:26 2017  begin with 105281601 relations and 73072013 unique ideals
  144. Tue Aug 22 19:55:34 2017  reduce to 104995014 relations and 68638581 ideals in 7 passes
  145. Tue Aug 22 19:55:34 2017  max relations containing the same ideal: 20
  146. Tue Aug 22 19:56:24 2017  removing 6008352 relations and 4008352 ideals in 2000000 cliques
  147. Tue Aug 22 19:56:28 2017  commencing in-memory singleton removal
  148. Tue Aug 22 19:56:35 2017  begin with 98986662 relations and 68638581 unique ideals
  149. Tue Aug 22 19:57:37 2017  reduce to 98705258 relations and 64343788 ideals in 7 passes
  150. Tue Aug 22 19:57:37 2017  max relations containing the same ideal: 20
  151. Tue Aug 22 19:58:24 2017  removing 5907763 relations and 3907763 ideals in 2000000 cliques
  152. Tue Aug 22 19:58:28 2017  commencing in-memory singleton removal
  153. Tue Aug 22 19:58:33 2017  begin with 92797495 relations and 64343788 unique ideals
  154. Tue Aug 22 19:59:30 2017  reduce to 92518167 relations and 60151399 ideals in 7 passes
  155. Tue Aug 22 19:59:30 2017  max relations containing the same ideal: 20
  156. Tue Aug 22 20:00:14 2017  removing 5779208 relations and 3779208 ideals in 2000000 cliques
  157. Tue Aug 22 20:00:17 2017  commencing in-memory singleton removal
  158. Tue Aug 22 20:00:22 2017  begin with 86738959 relations and 60151399 unique ideals
  159. Tue Aug 22 20:01:15 2017  reduce to 86425704 relations and 56052305 ideals in 7 passes
  160. Tue Aug 22 20:01:15 2017  max relations containing the same ideal: 20
  161. Tue Aug 22 20:01:55 2017  removing 5819791 relations and 3819791 ideals in 2000000 cliques
  162. Tue Aug 22 20:01:59 2017  commencing in-memory singleton removal
  163. Tue Aug 22 20:02:03 2017  begin with 80605913 relations and 56052305 unique ideals
  164. Tue Aug 22 20:02:50 2017  reduce to 80317129 relations and 51937375 ideals in 7 passes
  165. Tue Aug 22 20:02:50 2017  max relations containing the same ideal: 20
  166. Tue Aug 22 20:03:28 2017  removing 5671556 relations and 3671556 ideals in 2000000 cliques
  167. Tue Aug 22 20:03:32 2017  commencing in-memory singleton removal
  168. Tue Aug 22 20:03:36 2017  begin with 74645573 relations and 51937375 unique ideals
  169. Tue Aug 22 20:04:24 2017  reduce to 74300543 relations and 47912431 ideals in 8 passes
  170. Tue Aug 22 20:04:24 2017  max relations containing the same ideal: 20
  171. Tue Aug 22 20:05:00 2017  removing 5763294 relations and 3763294 ideals in 2000000 cliques
  172. Tue Aug 22 20:05:03 2017  commencing in-memory singleton removal
  173. Tue Aug 22 20:05:07 2017  begin with 68537249 relations and 47912431 unique ideals
  174. Tue Aug 22 20:05:49 2017  reduce to 68212995 relations and 43816877 ideals in 8 passes
  175. Tue Aug 22 20:05:49 2017  max relations containing the same ideal: 20
  176. Tue Aug 22 20:06:21 2017  removing 5706295 relations and 3706295 ideals in 2000000 cliques
  177. Tue Aug 22 20:06:25 2017  commencing in-memory singleton removal
  178. Tue Aug 22 20:06:28 2017  begin with 62506700 relations and 43816877 unique ideals
  179. Tue Aug 22 20:07:06 2017  reduce to 62139062 relations and 39732917 ideals in 8 passes
  180. Tue Aug 22 20:07:06 2017  max relations containing the same ideal: 19
  181. Tue Aug 22 20:07:35 2017  removing 5674515 relations and 3674515 ideals in 2000000 cliques
  182. Tue Aug 22 20:07:38 2017  commencing in-memory singleton removal
  183. Tue Aug 22 20:07:41 2017  begin with 56464547 relations and 39732917 unique ideals
  184. Tue Aug 22 20:08:10 2017  reduce to 56052230 relations and 35633574 ideals in 7 passes
  185. Tue Aug 22 20:08:10 2017  max relations containing the same ideal: 18
  186. Tue Aug 22 20:08:36 2017  removing 5714424 relations and 3714424 ideals in 2000000 cliques
  187. Tue Aug 22 20:08:39 2017  commencing in-memory singleton removal
  188. Tue Aug 22 20:08:42 2017  begin with 50337806 relations and 35633574 unique ideals
  189. Tue Aug 22 20:09:10 2017  reduce to 49876465 relations and 31442369 ideals in 8 passes
  190. Tue Aug 22 20:09:10 2017  max relations containing the same ideal: 18
  191. Tue Aug 22 20:09:34 2017  removing 5754727 relations and 3754727 ideals in 2000000 cliques
  192. Tue Aug 22 20:09:37 2017  commencing in-memory singleton removal
  193. Tue Aug 22 20:09:39 2017  begin with 44121738 relations and 31442369 unique ideals
  194. Tue Aug 22 20:10:04 2017  reduce to 43623958 relations and 27171468 ideals in 8 passes
  195. Tue Aug 22 20:10:04 2017  max relations containing the same ideal: 17
  196. Tue Aug 22 20:10:24 2017  removing 5823069 relations and 3823069 ideals in 2000000 cliques
  197. Tue Aug 22 20:10:27 2017  commencing in-memory singleton removal
  198. Tue Aug 22 20:10:28 2017  begin with 37800889 relations and 27171468 unique ideals
  199. Tue Aug 22 20:10:51 2017  reduce to 37260459 relations and 22786127 ideals in 9 passes
  200. Tue Aug 22 20:10:51 2017  max relations containing the same ideal: 16
  201. Tue Aug 22 20:11:08 2017  removing 2360853 relations and 1565608 ideals in 795245 cliques
  202. Tue Aug 22 20:11:10 2017  commencing in-memory singleton removal
  203. Tue Aug 22 20:11:11 2017  begin with 34899606 relations and 22786127 unique ideals
  204. Tue Aug 22 20:11:29 2017  reduce to 34720756 relations and 21037498 ideals in 8 passes
  205. Tue Aug 22 20:11:29 2017  max relations containing the same ideal: 15
  206. Tue Aug 22 20:11:47 2017  relations with 0 large ideals: 3611044
  207. Tue Aug 22 20:11:47 2017  relations with 1 large ideals: 12317287
  208. Tue Aug 22 20:11:47 2017  relations with 2 large ideals: 13403112
  209. Tue Aug 22 20:11:47 2017  relations with 3 large ideals: 4731888
  210. Tue Aug 22 20:11:47 2017  relations with 4 large ideals: 603564
  211. Tue Aug 22 20:11:47 2017  relations with 5 large ideals: 44644
  212. Tue Aug 22 20:11:47 2017  relations with 6 large ideals: 2401
  213. Tue Aug 22 20:11:47 2017  relations with 7+ large ideals: 6816
  214. Tue Aug 22 20:11:47 2017  commencing 2-way merge
  215. Tue Aug 22 20:12:09 2017  reduce to 21334892 relation sets and 7651634 unique ideals
  216. Tue Aug 22 20:12:09 2017  commencing full merge
  217. Tue Aug 22 20:13:33 2017  memory use: 806.1 MB
  218. Tue Aug 22 20:13:43 2017  found 13678410 cycles, need 11792516
  219. Tue Aug 22 20:13:45 2017  weight of 11792516 cycles is about 570703963 (48.40/cycle)
  220. Tue Aug 22 20:13:45 2017  distribution of cycle lengths:
  221. Tue Aug 22 20:13:45 2017  1 relations: 3611044
  222. Tue Aug 22 20:13:45 2017  2 relations: 1736875
  223. Tue Aug 22 20:13:45 2017  3 relations: 1365717
  224. Tue Aug 22 20:13:45 2017  4 relations: 1207926
  225. Tue Aug 22 20:13:45 2017  5 relations: 1090275
  226. Tue Aug 22 20:13:45 2017  6 relations: 937444
  227. Tue Aug 22 20:13:45 2017  7 relations: 789702
  228. Tue Aug 22 20:13:45 2017  8 relations: 605532
  229. Tue Aug 22 20:13:45 2017  9 relations: 411911
  230. Tue Aug 22 20:13:45 2017  10+ relations: 36090
  231. Tue Aug 22 20:13:45 2017  heaviest cycle: 12 relations
  232. Tue Aug 22 20:13:45 2017  matrix not dense enough, retrying
  233. Tue Aug 22 20:13:50 2017  reading large ideals from disk
  234. Tue Aug 22 20:18:56 2017  keeping 97930718 ideals with weight <= 25, target excess is 10080180
  235. Tue Aug 22 20:24:09 2017  memory use: 3667.0 MB
  236. Tue Aug 22 20:24:09 2017  commencing in-memory singleton removal
  237. Tue Aug 22 20:24:22 2017  begin with 142543997 relations and 97930718 unique ideals
  238. Tue Aug 22 20:26:01 2017  reduce to 142542751 relations and 97929472 ideals in 6 passes
  239. Tue Aug 22 20:26:01 2017  max relations containing the same ideal: 25
  240. Tue Aug 22 20:27:17 2017  removing 9510104 relations and 7510104 ideals in 2000000 cliques
  241. Tue Aug 22 20:27:23 2017  commencing in-memory singleton removal
  242. Tue Aug 22 20:27:34 2017  begin with 133032647 relations and 97929472 unique ideals
  243. Tue Aug 22 20:29:37 2017  reduce to 132482054 relations and 89858993 ideals in 8 passes
  244. Tue Aug 22 20:29:37 2017  max relations containing the same ideal: 25
  245. Tue Aug 22 20:30:47 2017  removing 7273816 relations and 5273816 ideals in 2000000 cliques
  246. Tue Aug 22 20:30:53 2017  commencing in-memory singleton removal
  247. Tue Aug 22 20:31:03 2017  begin with 125208238 relations and 89858993 unique ideals
  248. Tue Aug 22 20:32:41 2017  reduce to 124839285 relations and 84210285 ideals in 7 passes
  249. Tue Aug 22 20:32:41 2017  max relations containing the same ideal: 25
  250. Tue Aug 22 20:33:47 2017  removing 6670859 relations and 4670859 ideals in 2000000 cliques
  251. Tue Aug 22 20:33:52 2017  commencing in-memory singleton removal
  252. Tue Aug 22 20:34:02 2017  begin with 118168426 relations and 84210285 unique ideals
  253. Tue Aug 22 20:35:32 2017  reduce to 117849174 relations and 79214929 ideals in 7 passes
  254. Tue Aug 22 20:35:32 2017  max relations containing the same ideal: 25
  255. Tue Aug 22 20:36:35 2017  removing 6363563 relations and 4363563 ideals in 2000000 cliques
  256. Tue Aug 22 20:36:39 2017  commencing in-memory singleton removal
  257. Tue Aug 22 20:36:48 2017  begin with 111485611 relations and 79214929 unique ideals
  258. Tue Aug 22 20:38:08 2017  reduce to 111191453 relations and 74552434 ideals in 7 passes
  259. Tue Aug 22 20:38:08 2017  max relations containing the same ideal: 25
  260. Tue Aug 22 20:39:04 2017  removing 6172082 relations and 4172082 ideals in 2000000 cliques
  261. Tue Aug 22 20:39:08 2017  commencing in-memory singleton removal
  262. Tue Aug 22 20:39:16 2017  begin with 105019371 relations and 74552434 unique ideals
  263. Tue Aug 22 20:40:40 2017  reduce to 104735614 relations and 70091823 ideals in 8 passes
  264. Tue Aug 22 20:40:40 2017  max relations containing the same ideal: 25
  265. Tue Aug 22 20:41:35 2017  removing 6034883 relations and 4034883 ideals in 2000000 cliques
  266. Tue Aug 22 20:41:40 2017  commencing in-memory singleton removal
  267. Tue Aug 22 20:41:47 2017  begin with 98700731 relations and 70091823 unique ideals
  268. Tue Aug 22 20:42:56 2017  reduce to 98422895 relations and 65774049 ideals in 7 passes
  269. Tue Aug 22 20:42:56 2017  max relations containing the same ideal: 25
  270. Tue Aug 22 20:43:48 2017  removing 5919516 relations and 3919516 ideals in 2000000 cliques
  271. Tue Aug 22 20:43:52 2017  commencing in-memory singleton removal
  272. Tue Aug 22 20:43:58 2017  begin with 92503379 relations and 65774049 unique ideals
  273. Tue Aug 22 20:45:02 2017  reduce to 92217278 relations and 61562951 ideals in 7 passes
  274. Tue Aug 22 20:45:02 2017  max relations containing the same ideal: 25
  275. Tue Aug 22 20:45:50 2017  removing 5874640 relations and 3874640 ideals in 2000000 cliques
  276. Tue Aug 22 20:45:54 2017  commencing in-memory singleton removal
  277. Tue Aug 22 20:46:00 2017  begin with 86342638 relations and 61562951 unique ideals
  278. Tue Aug 22 20:46:58 2017  reduce to 86062507 relations and 57402564 ideals in 7 passes
  279. Tue Aug 22 20:46:58 2017  max relations containing the same ideal: 25
  280. Tue Aug 22 20:47:43 2017  removing 5773369 relations and 3773369 ideals in 2000000 cliques
  281. Tue Aug 22 20:47:46 2017  commencing in-memory singleton removal
  282. Tue Aug 22 20:47:52 2017  begin with 80289138 relations and 57402564 unique ideals
  283. Tue Aug 22 20:48:44 2017  reduce to 79979044 relations and 53312230 ideals in 7 passes
  284. Tue Aug 22 20:48:44 2017  max relations containing the same ideal: 24
  285. Tue Aug 22 20:49:26 2017  removing 5778337 relations and 3778337 ideals in 2000000 cliques
  286. Tue Aug 22 20:49:30 2017  commencing in-memory singleton removal
  287. Tue Aug 22 20:49:35 2017  begin with 74200707 relations and 53312230 unique ideals
  288. Tue Aug 22 20:50:35 2017  reduce to 73889237 relations and 49215104 ideals in 9 passes
  289. Tue Aug 22 20:50:35 2017  max relations containing the same ideal: 23
  290. Tue Aug 22 20:51:13 2017  removing 5756339 relations and 3756339 ideals in 2000000 cliques
  291. Tue Aug 22 20:51:17 2017  commencing in-memory singleton removal
  292. Tue Aug 22 20:51:21 2017  begin with 68132898 relations and 49215104 unique ideals
  293. Tue Aug 22 20:51:57 2017  reduce to 67811307 relations and 45129051 ideals in 6 passes
  294. Tue Aug 22 20:51:57 2017  max relations containing the same ideal: 23
  295. Tue Aug 22 20:52:32 2017  removing 5688246 relations and 3688246 ideals in 2000000 cliques
  296. Tue Aug 22 20:52:36 2017  commencing in-memory singleton removal
  297. Tue Aug 22 20:52:40 2017  begin with 62123061 relations and 45129051 unique ideals
  298. Tue Aug 22 20:53:22 2017  reduce to 61747656 relations and 41055034 ideals in 8 passes
  299. Tue Aug 22 20:53:22 2017  max relations containing the same ideal: 23
  300. Tue Aug 22 20:53:54 2017  removing 5749849 relations and 3749849 ideals in 2000000 cliques
  301. Tue Aug 22 20:53:57 2017  commencing in-memory singleton removal
  302. Tue Aug 22 20:54:01 2017  begin with 55997807 relations and 41055034 unique ideals
  303. Tue Aug 22 20:54:37 2017  reduce to 55609818 relations and 36905415 ideals in 8 passes
  304. Tue Aug 22 20:54:37 2017  max relations containing the same ideal: 22
  305. Tue Aug 22 20:55:06 2017  removing 5740323 relations and 3740323 ideals in 2000000 cliques
  306. Tue Aug 22 20:55:09 2017  commencing in-memory singleton removal
  307. Tue Aug 22 20:55:12 2017  begin with 49869495 relations and 36905415 unique ideals
  308. Tue Aug 22 20:55:44 2017  reduce to 49425148 relations and 32705945 ideals in 8 passes
  309. Tue Aug 22 20:55:44 2017  max relations containing the same ideal: 21
  310. Tue Aug 22 20:56:10 2017  removing 5762699 relations and 3762699 ideals in 2000000 cliques
  311. Tue Aug 22 20:56:13 2017  commencing in-memory singleton removal
  312. Tue Aug 22 20:56:15 2017  begin with 43662449 relations and 32705945 unique ideals
  313. Tue Aug 22 20:56:42 2017  reduce to 43160451 relations and 28422412 ideals in 8 passes
  314. Tue Aug 22 20:56:42 2017  max relations containing the same ideal: 20
  315. Tue Aug 22 20:57:05 2017  removing 5839837 relations and 3839837 ideals in 2000000 cliques
  316. Tue Aug 22 20:57:07 2017  commencing in-memory singleton removal
  317. Tue Aug 22 20:57:09 2017  begin with 37320614 relations and 28422412 unique ideals
  318. Tue Aug 22 20:57:32 2017  reduce to 36742368 relations and 23979255 ideals in 8 passes
  319. Tue Aug 22 20:57:32 2017  max relations containing the same ideal: 18
  320. Tue Aug 22 20:57:51 2017  removing 3203382 relations and 2133278 ideals in 1070104 cliques
  321. Tue Aug 22 20:57:53 2017  commencing in-memory singleton removal
  322. Tue Aug 22 20:57:54 2017  begin with 33538986 relations and 23979255 unique ideals
  323. Tue Aug 22 20:58:16 2017  reduce to 33237982 relations and 21535168 ideals in 9 passes
  324. Tue Aug 22 20:58:16 2017  max relations containing the same ideal: 17
  325. Tue Aug 22 20:58:33 2017  removing 33467 relations and 23662 ideals in 9805 cliques
  326. Tue Aug 22 20:58:34 2017  commencing in-memory singleton removal
  327. Tue Aug 22 20:58:36 2017  begin with 33204515 relations and 21535168 unique ideals
  328. Tue Aug 22 20:58:48 2017  reduce to 33204369 relations and 21511360 ideals in 5 passes
  329. Tue Aug 22 20:58:48 2017  max relations containing the same ideal: 17
  330. Tue Aug 22 20:58:51 2017  relations with 0 large ideals: 2454945
  331. Tue Aug 22 20:58:51 2017  relations with 1 large ideals: 9433967
  332. Tue Aug 22 20:58:51 2017  relations with 2 large ideals: 12824829
  333. Tue Aug 22 20:58:51 2017  relations with 3 large ideals: 6725925
  334. Tue Aug 22 20:58:51 2017  relations with 4 large ideals: 1545609
  335. Tue Aug 22 20:58:51 2017  relations with 5 large ideals: 194925
  336. Tue Aug 22 20:58:51 2017  relations with 6 large ideals: 18406
  337. Tue Aug 22 20:58:51 2017  relations with 7+ large ideals: 5763
  338. Tue Aug 22 20:58:51 2017  commencing 2-way merge
  339. Tue Aug 22 20:59:13 2017  reduce to 20618920 relation sets and 8925911 unique ideals
  340. Tue Aug 22 20:59:13 2017  commencing full merge
  341. Tue Aug 22 21:01:46 2017  memory use: 912.0 MB
  342. Tue Aug 22 21:01:56 2017  found 11473543 cycles, need 10080380
  343. Tue Aug 22 21:01:58 2017  weight of 10080380 cycles is about 794556562 (78.82/cycle)
  344. Tue Aug 22 21:01:58 2017  distribution of cycle lengths:
  345. Tue Aug 22 21:01:58 2017  1 relations: 2454945
  346. Tue Aug 22 21:01:58 2017  2 relations: 1076693
  347. Tue Aug 22 21:01:58 2017  3 relations: 803813
  348. Tue Aug 22 21:01:58 2017  4 relations: 690158
  349. Tue Aug 22 21:01:58 2017  5 relations: 639422
  350. Tue Aug 22 21:01:58 2017  6 relations: 597062
  351. Tue Aug 22 21:01:58 2017  7 relations: 564785
  352. Tue Aug 22 21:01:58 2017  8 relations: 525152
  353. Tue Aug 22 21:01:58 2017  9 relations: 486908
  354. Tue Aug 22 21:01:58 2017  10+ relations: 2241442
  355. Tue Aug 22 21:01:58 2017  heaviest cycle: 20 relations
  356. Tue Aug 22 21:01:58 2017  commencing cycle optimization
  357. Tue Aug 22 21:02:25 2017  start with 57173653 relations
  358. Tue Aug 22 21:05:08 2017  pruned 5250869 relations
  359. Tue Aug 22 21:05:08 2017  memory use: 1655.3 MB
  360. Tue Aug 22 21:05:08 2017  distribution of cycle lengths:
  361. Tue Aug 22 21:05:08 2017  1 relations: 2454945
  362. Tue Aug 22 21:05:08 2017  2 relations: 1122256
  363. Tue Aug 22 21:05:08 2017  3 relations: 864228
  364. Tue Aug 22 21:05:08 2017  4 relations: 759441
  365. Tue Aug 22 21:05:08 2017  5 relations: 726756
  366. Tue Aug 22 21:05:08 2017  6 relations: 690752
  367. Tue Aug 22 21:05:08 2017  7 relations: 661852
  368. Tue Aug 22 21:05:08 2017  8 relations: 606469
  369. Tue Aug 22 21:05:08 2017  9 relations: 547053
  370. Tue Aug 22 21:05:08 2017  10+ relations: 1646628
  371. Tue Aug 22 21:05:08 2017  heaviest cycle: 20 relations
  372. Tue Aug 22 21:05:36 2017  RelProcTime: 17691
  373. Tue Aug 22 21:05:36 2017  
  374. Tue Aug 22 21:05:36 2017  commencing linear algebra
  375. Tue Aug 22 21:05:40 2017  read 10080380 cycles
  376. Tue Aug 22 21:06:09 2017  cycles contain 27631043 unique relations
  377. Tue Aug 22 21:13:42 2017  read 27631043 relations
  378. Tue Aug 22 21:14:50 2017  using 20 quadratic characters above 4294917295
  379. Tue Aug 22 21:18:15 2017  building initial matrix
  380. Tue Aug 22 21:29:27 2017  memory use: 3613.7 MB
  381. Tue Aug 22 21:30:22 2017  read 10080380 cycles
  382. Tue Aug 22 21:30:25 2017  matrix is 10078374 x 10080380 (3068.2 MB) with weight 906320163 (89.91/col)
  383. Tue Aug 22 21:30:25 2017  sparse part has weight 693438614 (68.79/col)
  384. Tue Aug 22 21:33:59 2017  filtering completed in 3 passes
  385. Tue Aug 22 21:34:03 2017  matrix is 10034214 x 10034414 (3060.2 MB) with weight 903817731 (90.07/col)
  386. Tue Aug 22 21:34:03 2017  sparse part has weight 691845607 (68.95/col)
  387. Tue Aug 22 21:36:28 2017  matrix starts at (0, 0)
  388. Tue Aug 22 21:36:31 2017  matrix is 10034214 x 10034414 (3060.2 MB) with weight 903817731 (90.07/col)
  389. Tue Aug 22 21:36:31 2017  sparse part has weight 691845607 (68.95/col)
  390. Tue Aug 22 21:36:31 2017  saving the first 48 matrix rows for later
  391. Tue Aug 22 21:36:37 2017  matrix includes 64 packed rows
  392. Tue Aug 22 21:36:40 2017  matrix is 10034166 x 10034414 (2920.6 MB) with weight 720761379 (71.83/col)
  393. Tue Aug 22 21:36:40 2017  sparse part has weight 665281408 (66.30/col)
  394. Tue Aug 22 21:36:40 2017  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  395. Tue Aug 22 21:37:49 2017  commencing Lanczos iteration (6 threads)
  396. Tue Aug 22 21:37:50 2017  memory use: 2425.4 MB
  397. Tue Aug 22 21:39:15 2017  linear algebra at 0.0%, ETA 150h50m
  398. Tue Aug 22 21:39:43 2017  checkpointing every 70000 dimensions
  399. Tue Aug 29 03:58:56 2017  lanczos halted after 158682 iterations (dim = 10034164)
  400. Tue Aug 29 03:59:15 2017  recovered 35 nontrivial dependencies
  401. Tue Aug 29 03:59:23 2017  BLanczosTime: 543227
  402. Tue Aug 29 03:59:23 2017  
  403. Tue Aug 29 03:59:23 2017  commencing square root phase
  404. Tue Aug 29 03:59:23 2017  handling dependencies 1 to 64
  405. Tue Aug 29 03:59:23 2017  reading relations for dependency 1
  406. Tue Aug 29 03:59:30 2017  read 5018401 cycles
  407. Tue Aug 29 03:59:44 2017  cycles contain 13789626 unique relations
  408. Tue Aug 29 04:04:39 2017  read 13789626 relations
  409. Tue Aug 29 04:07:32 2017  multiplying 13789626 relations
  410. Tue Aug 29 04:32:07 2017  multiply complete, coefficients have about 377.92 million bits
  411. Tue Aug 29 04:32:10 2017  initial square root is modulo 6042079
  412. Tue Aug 29 04:56:20 2017  sqrtTime: 3417
  413. Tue Aug 29 04:56:20 2017  p76 factor: 7304507598005887310830557066076676846457168115163364542460482982134099532497
  414. Tue Aug 29 04:56:20 2017  p89 factor: 28287222925786679619213714329189473536677467866738121114577039338101908777867945253359797
  415. Tue Aug 29 04:56:20 2017  elapsed time 156:45:38
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