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3^583+2^583 linear algebra log

fivemack Jun 7th, 2019 64 Never
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  1. Fri May 31 00:20:53 2019  
  2. Fri May 31 00:20:53 2019  
  3. Fri May 31 00:20:53 2019  Msieve v. 1.53 (SVN 993)
  4. Fri May 31 00:20:53 2019  random seeds: 4c83a91e d9aae056
  5. Fri May 31 00:20:53 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  6. Fri May 31 00:20:56 2019  no P-1/P+1/ECM available, skipping
  7. Fri May 31 00:20:56 2019  commencing number field sieve (216-digit input)
  8. Fri May 31 00:20:56 2019  R0: 375710212613636260406709802013744589495625388682793
  9. Fri May 31 00:20:56 2019  R1: -174588755932389037098918153698611839369216
  10. Fri May 31 00:20:56 2019  A0: -1
  11. Fri May 31 00:20:56 2019  A1: 3
  12. Fri May 31 00:20:56 2019  A2: 3
  13. Fri May 31 00:20:56 2019  A3: -4
  14. Fri May 31 00:20:56 2019  A4: -1
  15. Fri May 31 00:20:56 2019  A5: 1
  16. Fri May 31 00:20:56 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  17. Fri May 31 00:20:56 2019  
  18. Fri May 31 00:20:56 2019  commencing relation filtering
  19. Fri May 31 00:20:56 2019  setting target matrix density to 70.0
  20. Fri May 31 00:20:56 2019  estimated available RAM is 95375.2 MB
  21. Fri May 31 00:20:56 2019  commencing duplicate removal, pass 1
  22.   1 errors
  23. Fri May 31 01:05:51 2019  skipped 1 relations with composite factors
  24. Fri May 31 01:05:51 2019  found 7147386 hash collisions in 180047037 relations
  25. Fri May 31 01:06:06 2019  added 2926300 free relations
  26. Fri May 31 01:06:06 2019  commencing duplicate removal, pass 2
  27. Fri May 31 01:07:21 2019  found 0 duplicates and 182973337 unique relations
  28. Fri May 31 01:07:21 2019  memory use: 522.4 MB
  29. Fri May 31 01:07:21 2019  reading ideals above 720000
  30. Fri May 31 01:07:22 2019  commencing singleton removal, initial pass
  31. Fri May 31 01:56:16 2019  memory use: 5512.0 MB
  32. Fri May 31 01:56:17 2019  reading all ideals from disk
  33. Fri May 31 01:56:28 2019  memory use: 7407.5 MB
  34. Fri May 31 01:57:02 2019  keeping 176992868 ideals with weight <= 200, target excess is 910069
  35. Fri May 31 01:57:46 2019  commencing in-memory singleton removal
  36. Fri May 31 01:58:08 2019  begin with 182973337 relations and 176992868 unique ideals
  37. Fri May 31 02:03:48 2019  reduce to 115935919 relations and 102943637 ideals in 17 passes
  38. Fri May 31 02:03:48 2019  max relations containing the same ideal: 157
  39. Fri May 31 02:05:14 2019  removing 12188029 relations and 10188029 ideals in 2000000 cliques
  40. Fri May 31 02:05:20 2019  commencing in-memory singleton removal
  41. Fri May 31 02:05:34 2019  begin with 103747890 relations and 102943637 unique ideals
  42. Fri May 31 02:08:01 2019  reduce to 102647691 relations and 91629202 ideals in 9 passes
  43. Fri May 31 02:08:01 2019  max relations containing the same ideal: 146
  44. Fri May 31 02:09:22 2019  removing 9346238 relations and 7346238 ideals in 2000000 cliques
  45. Fri May 31 02:09:27 2019  commencing in-memory singleton removal
  46. Fri May 31 02:09:38 2019  begin with 93301453 relations and 91629202 unique ideals
  47. Fri May 31 02:11:48 2019  reduce to 92569017 relations and 83535391 ideals in 9 passes
  48. Fri May 31 02:11:48 2019  max relations containing the same ideal: 138
  49. Fri May 31 02:13:02 2019  removing 8483940 relations and 6483940 ideals in 2000000 cliques
  50. Fri May 31 02:13:07 2019  commencing in-memory singleton removal
  51. Fri May 31 02:13:17 2019  begin with 84085077 relations and 83535391 unique ideals
  52. Fri May 31 02:15:02 2019  reduce to 83423873 relations and 76376259 ideals in 8 passes
  53. Fri May 31 02:15:02 2019  max relations containing the same ideal: 126
  54. Fri May 31 02:16:09 2019  removing 8060196 relations and 6060196 ideals in 2000000 cliques
  55. Fri May 31 02:16:14 2019  commencing in-memory singleton removal
  56. Fri May 31 02:16:23 2019  begin with 75363677 relations and 76376259 unique ideals
  57. Fri May 31 02:18:07 2019  reduce to 74714309 relations and 69652245 ideals in 9 passes
  58. Fri May 31 02:18:07 2019  max relations containing the same ideal: 115
  59. Fri May 31 02:19:05 2019  removing 7813065 relations and 5813065 ideals in 2000000 cliques
  60. Fri May 31 02:19:09 2019  commencing in-memory singleton removal
  61. Fri May 31 02:19:17 2019  begin with 66901244 relations and 69652245 unique ideals
  62. Fri May 31 02:20:47 2019  reduce to 66226991 relations and 63148409 ideals in 9 passes
  63. Fri May 31 02:20:47 2019  max relations containing the same ideal: 106
  64. Fri May 31 02:21:40 2019  removing 7681759 relations and 5681759 ideals in 2000000 cliques
  65. Fri May 31 02:21:44 2019  commencing in-memory singleton removal
  66. Fri May 31 02:21:51 2019  begin with 58545232 relations and 63148409 unique ideals
  67. Fri May 31 02:23:00 2019  reduce to 57807962 relations and 56708896 ideals in 8 passes
  68. Fri May 31 02:23:00 2019  max relations containing the same ideal: 97
  69. Fri May 31 02:23:46 2019  removing 326946 relations and 283561 ideals in 43385 cliques
  70. Fri May 31 02:23:48 2019  commencing in-memory singleton removal
  71. Fri May 31 02:23:54 2019  begin with 57481016 relations and 56708896 unique ideals
  72. Fri May 31 02:24:37 2019  reduce to 57479936 relations and 56424254 ideals in 5 passes
  73. Fri May 31 02:24:37 2019  max relations containing the same ideal: 97
  74. Fri May 31 02:24:57 2019  relations with 0 large ideals: 71502
  75. Fri May 31 02:24:57 2019  relations with 1 large ideals: 13697
  76. Fri May 31 02:24:57 2019  relations with 2 large ideals: 169217
  77. Fri May 31 02:24:57 2019  relations with 3 large ideals: 1147737
  78. Fri May 31 02:24:57 2019  relations with 4 large ideals: 4351165
  79. Fri May 31 02:24:57 2019  relations with 5 large ideals: 10061242
  80. Fri May 31 02:24:57 2019  relations with 6 large ideals: 16639005
  81. Fri May 31 02:24:57 2019  relations with 7+ large ideals: 25026371
  82. Fri May 31 02:24:57 2019  commencing 2-way merge
  83. Fri May 31 02:26:03 2019  reduce to 38491881 relation sets and 37436199 unique ideals
  84. Fri May 31 02:26:03 2019  commencing full merge
  85. Fri May 31 02:41:49 2019  memory use: 4571.1 MB
  86. Fri May 31 02:41:55 2019  found 20480478 cycles, need 20336399
  87. Fri May 31 02:42:08 2019  weight of 20336399 cycles is about 1423691998 (70.01/cycle)
  88. Fri May 31 02:42:08 2019  distribution of cycle lengths:
  89. Fri May 31 02:42:08 2019  1 relations: 2543707
  90. Fri May 31 02:42:08 2019  2 relations: 2587527
  91. Fri May 31 02:42:08 2019  3 relations: 2489572
  92. Fri May 31 02:42:08 2019  4 relations: 2242970
  93. Fri May 31 02:42:08 2019  5 relations: 2011608
  94. Fri May 31 02:42:08 2019  6 relations: 1755628
  95. Fri May 31 02:42:08 2019  7 relations: 1511804
  96. Fri May 31 02:42:08 2019  8 relations: 1266141
  97. Fri May 31 02:42:08 2019  9 relations: 1026488
  98. Fri May 31 02:42:08 2019  10+ relations: 2900954
  99. Fri May 31 02:42:08 2019  heaviest cycle: 22 relations
  100. Fri May 31 02:42:19 2019  commencing cycle optimization
  101. Fri May 31 02:43:03 2019  start with 109804426 relations
  102. Fri May 31 02:47:51 2019  pruned 2870178 relations
  103. Fri May 31 02:47:52 2019  memory use: 3501.8 MB
  104. Fri May 31 02:47:52 2019  distribution of cycle lengths:
  105. Fri May 31 02:47:52 2019  1 relations: 2543707
  106. Fri May 31 02:47:52 2019  2 relations: 2636595
  107. Fri May 31 02:47:52 2019  3 relations: 2575272
  108. Fri May 31 02:47:52 2019  4 relations: 2301530
  109. Fri May 31 02:47:52 2019  5 relations: 2068496
  110. Fri May 31 02:47:52 2019  6 relations: 1787662
  111. Fri May 31 02:47:52 2019  7 relations: 1532468
  112. Fri May 31 02:47:52 2019  8 relations: 1264970
  113. Fri May 31 02:47:52 2019  9 relations: 1012342
  114. Fri May 31 02:47:52 2019  10+ relations: 2613357
  115. Fri May 31 02:47:52 2019  heaviest cycle: 22 relations
  116. Fri May 31 02:48:42 2019  RelProcTime: 8866
  117. Fri May 31 02:48:42 2019  elapsed time 02:27:49
  118. Fri May 31 02:48:44 2019  
  119. Fri May 31 02:48:44 2019  
  120. Fri May 31 02:48:44 2019  Msieve v. 1.53 (SVN 993)
  121. Fri May 31 02:48:44 2019  random seeds: c1b085ee 62ad9397
  122. Fri May 31 02:48:44 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  123. Fri May 31 02:48:47 2019  no P-1/P+1/ECM available, skipping
  124. Fri May 31 02:48:47 2019  commencing number field sieve (216-digit input)
  125. Fri May 31 02:48:47 2019  R0: 375710212613636260406709802013744589495625388682793
  126. Fri May 31 02:48:47 2019  R1: -174588755932389037098918153698611839369216
  127. Fri May 31 02:48:47 2019  A0: -1
  128. Fri May 31 02:48:47 2019  A1: 3
  129. Fri May 31 02:48:47 2019  A2: 3
  130. Fri May 31 02:48:47 2019  A3: -4
  131. Fri May 31 02:48:47 2019  A4: -1
  132. Fri May 31 02:48:47 2019  A5: 1
  133. Fri May 31 02:48:47 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  134. Fri May 31 02:48:47 2019  
  135. Fri May 31 02:48:47 2019  commencing relation filtering
  136. Fri May 31 02:48:47 2019  setting target matrix density to 134.0
  137. Fri May 31 02:48:47 2019  estimated available RAM is 95375.2 MB
  138. Fri May 31 02:48:47 2019  commencing duplicate removal, pass 1
  139.   1 errors
  140. Fri May 31 03:35:34 2019  skipped 1 relations with composite factors
  141. Fri May 31 03:35:34 2019  found 7373388 hash collisions in 182973337 relations
  142. Fri May 31 03:35:34 2019  commencing duplicate removal, pass 2
  143. Fri May 31 03:36:43 2019  found 0 duplicates and 182973337 unique relations
  144. Fri May 31 03:36:43 2019  memory use: 522.4 MB
  145. Fri May 31 03:36:43 2019  reading ideals above 720000
  146. Fri May 31 03:36:43 2019  commencing singleton removal, initial pass
  147. Fri May 31 04:25:10 2019  memory use: 5512.0 MB
  148. Fri May 31 04:25:10 2019  reading all ideals from disk
  149. Fri May 31 04:25:16 2019  memory use: 7407.5 MB
  150. Fri May 31 04:25:45 2019  keeping 176992868 ideals with weight <= 200, target excess is 910069
  151. Fri May 31 04:26:21 2019  commencing in-memory singleton removal
  152. Fri May 31 04:26:43 2019  begin with 182973337 relations and 176992868 unique ideals
  153. Fri May 31 04:32:24 2019  reduce to 115935919 relations and 102943637 ideals in 17 passes
  154. Fri May 31 04:32:24 2019  max relations containing the same ideal: 157
  155. Fri May 31 04:33:48 2019  removing 12188029 relations and 10188029 ideals in 2000000 cliques
  156. Fri May 31 04:33:54 2019  commencing in-memory singleton removal
  157. Fri May 31 04:34:07 2019  begin with 103747890 relations and 102943637 unique ideals
  158. Fri May 31 04:36:32 2019  reduce to 102647691 relations and 91629202 ideals in 9 passes
  159. Fri May 31 04:36:32 2019  max relations containing the same ideal: 146
  160. Fri May 31 04:37:49 2019  removing 9346238 relations and 7346238 ideals in 2000000 cliques
  161. Fri May 31 04:37:54 2019  commencing in-memory singleton removal
  162. Fri May 31 04:38:06 2019  begin with 93301453 relations and 91629202 unique ideals
  163. Fri May 31 04:40:31 2019  reduce to 92569017 relations and 83535391 ideals in 9 passes
  164. Fri May 31 04:40:31 2019  max relations containing the same ideal: 138
  165. Fri May 31 04:41:50 2019  removing 8483940 relations and 6483940 ideals in 2000000 cliques
  166. Fri May 31 04:41:56 2019  commencing in-memory singleton removal
  167. Fri May 31 04:42:06 2019  begin with 84085077 relations and 83535391 unique ideals
  168. Fri May 31 04:43:50 2019  reduce to 83423873 relations and 76376259 ideals in 8 passes
  169. Fri May 31 04:43:50 2019  max relations containing the same ideal: 126
  170. Fri May 31 04:44:53 2019  removing 8060196 relations and 6060196 ideals in 2000000 cliques
  171. Fri May 31 04:44:57 2019  commencing in-memory singleton removal
  172. Fri May 31 04:45:06 2019  begin with 75363677 relations and 76376259 unique ideals
  173. Fri May 31 04:46:51 2019  reduce to 74714309 relations and 69652245 ideals in 9 passes
  174. Fri May 31 04:46:51 2019  max relations containing the same ideal: 115
  175. Fri May 31 04:47:47 2019  removing 7813065 relations and 5813065 ideals in 2000000 cliques
  176. Fri May 31 04:47:51 2019  commencing in-memory singleton removal
  177. Fri May 31 04:47:59 2019  begin with 66901244 relations and 69652245 unique ideals
  178. Fri May 31 04:49:31 2019  reduce to 66226991 relations and 63148409 ideals in 9 passes
  179. Fri May 31 04:49:31 2019  max relations containing the same ideal: 106
  180. Fri May 31 04:50:20 2019  removing 7681759 relations and 5681759 ideals in 2000000 cliques
  181. Fri May 31 04:50:24 2019  commencing in-memory singleton removal
  182. Fri May 31 04:50:30 2019  begin with 58545232 relations and 63148409 unique ideals
  183. Fri May 31 04:51:39 2019  reduce to 57807962 relations and 56708896 ideals in 8 passes
  184. Fri May 31 04:51:39 2019  max relations containing the same ideal: 97
  185. Fri May 31 04:52:23 2019  removing 326946 relations and 283561 ideals in 43385 cliques
  186. Fri May 31 04:52:25 2019  commencing in-memory singleton removal
  187. Fri May 31 04:52:32 2019  begin with 57481016 relations and 56708896 unique ideals
  188. Fri May 31 04:53:15 2019  reduce to 57479936 relations and 56424254 ideals in 5 passes
  189. Fri May 31 04:53:15 2019  max relations containing the same ideal: 97
  190. Fri May 31 04:53:35 2019  relations with 0 large ideals: 71502
  191. Fri May 31 04:53:35 2019  relations with 1 large ideals: 13697
  192. Fri May 31 04:53:35 2019  relations with 2 large ideals: 169217
  193. Fri May 31 04:53:35 2019  relations with 3 large ideals: 1147737
  194. Fri May 31 04:53:35 2019  relations with 4 large ideals: 4351165
  195. Fri May 31 04:53:35 2019  relations with 5 large ideals: 10061242
  196. Fri May 31 04:53:35 2019  relations with 6 large ideals: 16639005
  197. Fri May 31 04:53:35 2019  relations with 7+ large ideals: 25026371
  198. Fri May 31 04:53:35 2019  commencing 2-way merge
  199. Fri May 31 04:54:34 2019  reduce to 38491881 relation sets and 37436199 unique ideals
  200. Fri May 31 04:54:34 2019  commencing full merge
  201. Fri May 31 05:46:32 2019  memory use: 1734.9 MB
  202. Fri May 31 05:46:32 2019  found 231445 cycles, need 8198269
  203. Fri May 31 05:46:32 2019  too few cycles, matrix probably cannot build
  204. Fri May 31 05:46:33 2019  
  205. Fri May 31 05:46:33 2019  
  206. Fri May 31 05:46:33 2019  Msieve v. 1.53 (SVN 993)
  207. Fri May 31 05:46:33 2019  random seeds: 33c72e2e a90a573a
  208. Fri May 31 05:46:33 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  209. Fri May 31 05:46:36 2019  no P-1/P+1/ECM available, skipping
  210. Fri May 31 05:46:36 2019  commencing number field sieve (216-digit input)
  211. Fri May 31 05:46:36 2019  R0: 375710212613636260406709802013744589495625388682793
  212. Fri May 31 05:46:36 2019  R1: -174588755932389037098918153698611839369216
  213. Fri May 31 05:46:36 2019  A0: -1
  214. Fri May 31 05:46:36 2019  A1: 3
  215. Fri May 31 05:46:36 2019  A2: 3
  216. Fri May 31 05:46:36 2019  A3: -4
  217. Fri May 31 05:46:36 2019  A4: -1
  218. Fri May 31 05:46:36 2019  A5: 1
  219. Fri May 31 05:46:36 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  220. Fri May 31 05:46:36 2019  
  221. Fri May 31 05:46:36 2019  commencing relation filtering
  222. Fri May 31 05:46:36 2019  setting target matrix density to 102.0
  223. Fri May 31 05:46:36 2019  estimated available RAM is 95375.2 MB
  224. Fri May 31 05:46:36 2019  commencing duplicate removal, pass 1
  225.   1 errors
  226. Fri May 31 06:31:31 2019  skipped 1 relations with composite factors
  227. Fri May 31 06:31:31 2019  found 7373388 hash collisions in 182973337 relations
  228. Fri May 31 06:31:31 2019  commencing duplicate removal, pass 2
  229. Fri May 31 06:32:39 2019  found 0 duplicates and 182973337 unique relations
  230. Fri May 31 06:32:39 2019  memory use: 522.4 MB
  231. Fri May 31 06:32:39 2019  reading ideals above 720000
  232. Fri May 31 06:32:39 2019  commencing singleton removal, initial pass
  233. Fri May 31 07:20:40 2019  memory use: 5512.0 MB
  234. Fri May 31 07:20:41 2019  reading all ideals from disk
  235. Fri May 31 07:20:47 2019  memory use: 7407.5 MB
  236. Fri May 31 07:21:20 2019  keeping 176992868 ideals with weight <= 200, target excess is 910069
  237. Fri May 31 07:22:01 2019  commencing in-memory singleton removal
  238. Fri May 31 07:22:23 2019  begin with 182973337 relations and 176992868 unique ideals
  239. Fri May 31 07:28:10 2019  reduce to 115935919 relations and 102943637 ideals in 17 passes
  240. Fri May 31 07:28:10 2019  max relations containing the same ideal: 157
  241. Fri May 31 07:29:38 2019  removing 12188029 relations and 10188029 ideals in 2000000 cliques
  242. Fri May 31 07:29:45 2019  commencing in-memory singleton removal
  243. Fri May 31 07:29:58 2019  begin with 103747890 relations and 102943637 unique ideals
  244. Fri May 31 07:32:25 2019  reduce to 102647691 relations and 91629202 ideals in 9 passes
  245. Fri May 31 07:32:25 2019  max relations containing the same ideal: 146
  246. Fri May 31 07:33:46 2019  removing 9346238 relations and 7346238 ideals in 2000000 cliques
  247. Fri May 31 07:33:51 2019  commencing in-memory singleton removal
  248. Fri May 31 07:34:02 2019  begin with 93301453 relations and 91629202 unique ideals
  249. Fri May 31 07:36:16 2019  reduce to 92569017 relations and 83535391 ideals in 9 passes
  250. Fri May 31 07:36:16 2019  max relations containing the same ideal: 138
  251. Fri May 31 07:37:28 2019  removing 8483940 relations and 6483940 ideals in 2000000 cliques
  252. Fri May 31 07:37:33 2019  commencing in-memory singleton removal
  253. Fri May 31 07:37:43 2019  begin with 84085077 relations and 83535391 unique ideals
  254. Fri May 31 07:39:30 2019  reduce to 83423873 relations and 76376259 ideals in 8 passes
  255. Fri May 31 07:39:30 2019  max relations containing the same ideal: 126
  256. Fri May 31 07:40:37 2019  removing 8060196 relations and 6060196 ideals in 2000000 cliques
  257. Fri May 31 07:40:42 2019  commencing in-memory singleton removal
  258. Fri May 31 07:40:51 2019  begin with 75363677 relations and 76376259 unique ideals
  259. Fri May 31 07:42:36 2019  reduce to 74714309 relations and 69652245 ideals in 9 passes
  260. Fri May 31 07:42:36 2019  max relations containing the same ideal: 115
  261. Fri May 31 07:43:36 2019  removing 7813065 relations and 5813065 ideals in 2000000 cliques
  262. Fri May 31 07:43:40 2019  commencing in-memory singleton removal
  263. Fri May 31 07:43:48 2019  begin with 66901244 relations and 69652245 unique ideals
  264. Fri May 31 07:45:19 2019  reduce to 66226991 relations and 63148409 ideals in 9 passes
  265. Fri May 31 07:45:19 2019  max relations containing the same ideal: 106
  266. Fri May 31 07:46:09 2019  removing 7681759 relations and 5681759 ideals in 2000000 cliques
  267. Fri May 31 07:46:13 2019  commencing in-memory singleton removal
  268. Fri May 31 07:46:20 2019  begin with 58545232 relations and 63148409 unique ideals
  269. Fri May 31 07:47:36 2019  reduce to 57807962 relations and 56708896 ideals in 8 passes
  270. Fri May 31 07:47:36 2019  max relations containing the same ideal: 97
  271. Fri May 31 07:48:23 2019  removing 326946 relations and 283561 ideals in 43385 cliques
  272. Fri May 31 07:48:25 2019  commencing in-memory singleton removal
  273. Fri May 31 07:48:32 2019  begin with 57481016 relations and 56708896 unique ideals
  274. Fri May 31 07:49:15 2019  reduce to 57479936 relations and 56424254 ideals in 5 passes
  275. Fri May 31 07:49:15 2019  max relations containing the same ideal: 97
  276. Fri May 31 07:49:35 2019  relations with 0 large ideals: 71502
  277. Fri May 31 07:49:35 2019  relations with 1 large ideals: 13697
  278. Fri May 31 07:49:35 2019  relations with 2 large ideals: 169217
  279. Fri May 31 07:49:35 2019  relations with 3 large ideals: 1147737
  280. Fri May 31 07:49:35 2019  relations with 4 large ideals: 4351165
  281. Fri May 31 07:49:35 2019  relations with 5 large ideals: 10061242
  282. Fri May 31 07:49:35 2019  relations with 6 large ideals: 16639005
  283. Fri May 31 07:49:35 2019  relations with 7+ large ideals: 25026371
  284. Fri May 31 07:49:35 2019  commencing 2-way merge
  285. Fri May 31 07:50:32 2019  reduce to 38491881 relation sets and 37436199 unique ideals
  286. Fri May 31 07:50:32 2019  commencing full merge
  287. Fri May 31 08:13:09 2019  memory use: 4782.2 MB
  288. Fri May 31 08:13:15 2019  found 17873671 cycles, need 17814399
  289. Fri May 31 08:13:26 2019  weight of 17814399 cycles is about 1817677639 (102.03/cycle)
  290. Fri May 31 08:13:26 2019  distribution of cycle lengths:
  291. Fri May 31 08:13:26 2019  1 relations: 1227023
  292. Fri May 31 08:13:26 2019  2 relations: 1450491
  293. Fri May 31 08:13:26 2019  3 relations: 1530627
  294. Fri May 31 08:13:26 2019  4 relations: 1494889
  295. Fri May 31 08:13:26 2019  5 relations: 1427077
  296. Fri May 31 08:13:26 2019  6 relations: 1338859
  297. Fri May 31 08:13:26 2019  7 relations: 1247312
  298. Fri May 31 08:13:26 2019  8 relations: 1152228
  299. Fri May 31 08:13:26 2019  9 relations: 1046886
  300. Fri May 31 08:13:26 2019  10+ relations: 5899007
  301. Fri May 31 08:13:26 2019  heaviest cycle: 28 relations
  302. Fri May 31 08:13:32 2019  commencing cycle optimization
  303. Fri May 31 08:14:24 2019  start with 141032792 relations
  304. Fri May 31 08:23:17 2019  pruned 5669210 relations
  305. Fri May 31 08:23:17 2019  memory use: 3836.9 MB
  306. Fri May 31 08:23:17 2019  distribution of cycle lengths:
  307. Fri May 31 08:23:17 2019  1 relations: 1227023
  308. Fri May 31 08:23:17 2019  2 relations: 1483196
  309. Fri May 31 08:23:17 2019  3 relations: 1593666
  310. Fri May 31 08:23:17 2019  4 relations: 1552105
  311. Fri May 31 08:23:17 2019  5 relations: 1490405
  312. Fri May 31 08:23:17 2019  6 relations: 1390168
  313. Fri May 31 08:23:17 2019  7 relations: 1296492
  314. Fri May 31 08:23:17 2019  8 relations: 1188189
  315. Fri May 31 08:23:17 2019  9 relations: 1075352
  316. Fri May 31 08:23:17 2019  10+ relations: 5517803
  317. Fri May 31 08:23:17 2019  heaviest cycle: 28 relations
  318. Fri May 31 08:24:06 2019  RelProcTime: 9450
  319. Fri May 31 08:24:06 2019  elapsed time 02:37:33
  320. Fri May 31 08:24:07 2019  
  321. Fri May 31 08:24:07 2019  
  322. Fri May 31 08:24:07 2019  Msieve v. 1.53 (SVN 993)
  323. Fri May 31 08:24:07 2019  random seeds: 2a572789 a3bf85c9
  324. Fri May 31 08:24:07 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  325. Fri May 31 08:24:10 2019  no P-1/P+1/ECM available, skipping
  326. Fri May 31 08:24:10 2019  commencing number field sieve (216-digit input)
  327. Fri May 31 08:24:10 2019  R0: 375710212613636260406709802013744589495625388682793
  328. Fri May 31 08:24:10 2019  R1: -174588755932389037098918153698611839369216
  329. Fri May 31 08:24:10 2019  A0: -1
  330. Fri May 31 08:24:10 2019  A1: 3
  331. Fri May 31 08:24:10 2019  A2: 3
  332. Fri May 31 08:24:10 2019  A3: -4
  333. Fri May 31 08:24:10 2019  A4: -1
  334. Fri May 31 08:24:10 2019  A5: 1
  335. Fri May 31 08:24:10 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  336. Fri May 31 08:24:10 2019  
  337. Fri May 31 08:24:10 2019  commencing relation filtering
  338. Fri May 31 08:24:10 2019  setting target matrix density to 118.0
  339. Fri May 31 08:24:10 2019  estimated available RAM is 95375.2 MB
  340. Fri May 31 08:24:10 2019  commencing duplicate removal, pass 1
  341.   1 errors
  342. Fri May 31 09:10:12 2019  skipped 1 relations with composite factors
  343. Fri May 31 09:10:12 2019  found 7373388 hash collisions in 182973337 relations
  344. Fri May 31 09:10:12 2019  commencing duplicate removal, pass 2
  345. Fri May 31 09:11:20 2019  found 0 duplicates and 182973337 unique relations
  346. Fri May 31 09:11:20 2019  memory use: 522.4 MB
  347. Fri May 31 09:11:20 2019  reading ideals above 720000
  348. Fri May 31 09:11:20 2019  commencing singleton removal, initial pass
  349. Fri May 31 09:58:43 2019  memory use: 5512.0 MB
  350. Fri May 31 09:58:43 2019  reading all ideals from disk
  351. Fri May 31 09:58:53 2019  memory use: 7407.5 MB
  352. Fri May 31 09:59:23 2019  keeping 176992868 ideals with weight <= 200, target excess is 910069
  353. Fri May 31 10:00:00 2019  commencing in-memory singleton removal
  354. Fri May 31 10:00:23 2019  begin with 182973337 relations and 176992868 unique ideals
  355. Fri May 31 10:06:03 2019  reduce to 115935919 relations and 102943637 ideals in 17 passes
  356. Fri May 31 10:06:03 2019  max relations containing the same ideal: 157
  357. Fri May 31 10:07:30 2019  removing 12188029 relations and 10188029 ideals in 2000000 cliques
  358. Fri May 31 10:07:37 2019  commencing in-memory singleton removal
  359. Fri May 31 10:07:49 2019  begin with 103747890 relations and 102943637 unique ideals
  360. Fri May 31 10:10:17 2019  reduce to 102647691 relations and 91629202 ideals in 9 passes
  361. Fri May 31 10:10:17 2019  max relations containing the same ideal: 146
  362. Fri May 31 10:11:31 2019  removing 9346238 relations and 7346238 ideals in 2000000 cliques
  363. Fri May 31 10:11:37 2019  commencing in-memory singleton removal
  364. Fri May 31 10:11:48 2019  begin with 93301453 relations and 91629202 unique ideals
  365. Fri May 31 10:13:58 2019  reduce to 92569017 relations and 83535391 ideals in 9 passes
  366. Fri May 31 10:13:58 2019  max relations containing the same ideal: 138
  367. Fri May 31 10:15:05 2019  removing 8483940 relations and 6483940 ideals in 2000000 cliques
  368. Fri May 31 10:15:10 2019  commencing in-memory singleton removal
  369. Fri May 31 10:15:20 2019  begin with 84085077 relations and 83535391 unique ideals
  370. Fri May 31 10:17:03 2019  reduce to 83423873 relations and 76376259 ideals in 8 passes
  371. Fri May 31 10:17:03 2019  max relations containing the same ideal: 126
  372. Fri May 31 10:18:04 2019  removing 8060196 relations and 6060196 ideals in 2000000 cliques
  373. Fri May 31 10:18:09 2019  commencing in-memory singleton removal
  374. Fri May 31 10:18:18 2019  begin with 75363677 relations and 76376259 unique ideals
  375. Fri May 31 10:20:00 2019  reduce to 74714309 relations and 69652245 ideals in 9 passes
  376. Fri May 31 10:20:00 2019  max relations containing the same ideal: 115
  377. Fri May 31 10:20:56 2019  removing 7813065 relations and 5813065 ideals in 2000000 cliques
  378. Fri May 31 10:21:00 2019  commencing in-memory singleton removal
  379. Fri May 31 10:21:08 2019  begin with 66901244 relations and 69652245 unique ideals
  380. Fri May 31 10:22:39 2019  reduce to 66226991 relations and 63148409 ideals in 9 passes
  381. Fri May 31 10:22:39 2019  max relations containing the same ideal: 106
  382. Fri May 31 10:23:28 2019  removing 7681759 relations and 5681759 ideals in 2000000 cliques
  383. Fri May 31 10:23:32 2019  commencing in-memory singleton removal
  384. Fri May 31 10:23:39 2019  begin with 58545232 relations and 63148409 unique ideals
  385. Fri May 31 10:24:48 2019  reduce to 57807962 relations and 56708896 ideals in 8 passes
  386. Fri May 31 10:24:48 2019  max relations containing the same ideal: 97
  387. Fri May 31 10:25:31 2019  removing 326946 relations and 283561 ideals in 43385 cliques
  388. Fri May 31 10:25:33 2019  commencing in-memory singleton removal
  389. Fri May 31 10:25:39 2019  begin with 57481016 relations and 56708896 unique ideals
  390. Fri May 31 10:26:22 2019  reduce to 57479936 relations and 56424254 ideals in 5 passes
  391. Fri May 31 10:26:22 2019  max relations containing the same ideal: 97
  392. Fri May 31 10:26:42 2019  relations with 0 large ideals: 71502
  393. Fri May 31 10:26:42 2019  relations with 1 large ideals: 13697
  394. Fri May 31 10:26:42 2019  relations with 2 large ideals: 169217
  395. Fri May 31 10:26:42 2019  relations with 3 large ideals: 1147737
  396. Fri May 31 10:26:42 2019  relations with 4 large ideals: 4351165
  397. Fri May 31 10:26:42 2019  relations with 5 large ideals: 10061242
  398. Fri May 31 10:26:42 2019  relations with 6 large ideals: 16639005
  399. Fri May 31 10:26:42 2019  relations with 7+ large ideals: 25026371
  400. Fri May 31 10:26:42 2019  commencing 2-way merge
  401. Fri May 31 10:27:39 2019  reduce to 38491881 relation sets and 37436199 unique ideals
  402. Fri May 31 10:27:39 2019  commencing full merge
  403. Fri May 31 11:12:59 2019  memory use: 1734.9 MB
  404. Fri May 31 11:13:00 2019  found 231445 cycles, need 8198269
  405. Fri May 31 11:13:00 2019  too few cycles, matrix probably cannot build
  406. Fri May 31 11:13:00 2019  
  407. Fri May 31 11:13:00 2019  
  408. Fri May 31 11:13:00 2019  Msieve v. 1.53 (SVN 993)
  409. Fri May 31 11:13:00 2019  random seeds: 0fca12d4 e107e29e
  410. Fri May 31 11:13:00 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  411. Fri May 31 11:13:02 2019  no P-1/P+1/ECM available, skipping
  412. Fri May 31 11:13:02 2019  commencing number field sieve (216-digit input)
  413. Fri May 31 11:13:02 2019  R0: 375710212613636260406709802013744589495625388682793
  414. Fri May 31 11:13:02 2019  R1: -174588755932389037098918153698611839369216
  415. Fri May 31 11:13:02 2019  A0: -1
  416. Fri May 31 11:13:02 2019  A1: 3
  417. Fri May 31 11:13:02 2019  A2: 3
  418. Fri May 31 11:13:02 2019  A3: -4
  419. Fri May 31 11:13:02 2019  A4: -1
  420. Fri May 31 11:13:02 2019  A5: 1
  421. Fri May 31 11:13:02 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  422. Fri May 31 11:13:02 2019  
  423. Fri May 31 11:13:02 2019  commencing relation filtering
  424. Fri May 31 11:13:02 2019  setting target matrix density to 110.0
  425. Fri May 31 11:13:02 2019  estimated available RAM is 95375.2 MB
  426. Fri May 31 11:13:02 2019  commencing duplicate removal, pass 1
  427.   1 errors
  428. Fri May 31 11:56:38 2019  skipped 1 relations with composite factors
  429. Fri May 31 11:56:38 2019  found 7373388 hash collisions in 182973337 relations
  430. Fri May 31 11:56:38 2019  commencing duplicate removal, pass 2
  431. Fri May 31 11:57:45 2019  found 0 duplicates and 182973337 unique relations
  432. Fri May 31 11:57:45 2019  memory use: 522.4 MB
  433. Fri May 31 11:57:45 2019  reading ideals above 720000
  434. Fri May 31 11:57:45 2019  commencing singleton removal, initial pass
  435. Fri May 31 12:43:52 2019  memory use: 5512.0 MB
  436. Fri May 31 12:43:52 2019  reading all ideals from disk
  437. Fri May 31 12:43:58 2019  memory use: 7407.5 MB
  438. Fri May 31 12:44:35 2019  keeping 176992868 ideals with weight <= 200, target excess is 910069
  439. Fri May 31 12:45:24 2019  commencing in-memory singleton removal
  440. Fri May 31 12:45:51 2019  begin with 182973337 relations and 176992868 unique ideals
  441. Fri May 31 12:51:38 2019  reduce to 115935919 relations and 102943637 ideals in 17 passes
  442. Fri May 31 12:51:38 2019  max relations containing the same ideal: 157
  443. Fri May 31 12:53:03 2019  removing 12188029 relations and 10188029 ideals in 2000000 cliques
  444. Fri May 31 12:53:10 2019  commencing in-memory singleton removal
  445. Fri May 31 12:53:22 2019  begin with 103747890 relations and 102943637 unique ideals
  446. Fri May 31 12:55:50 2019  reduce to 102647691 relations and 91629202 ideals in 9 passes
  447. Fri May 31 12:55:50 2019  max relations containing the same ideal: 146
  448. Fri May 31 12:57:08 2019  removing 9346238 relations and 7346238 ideals in 2000000 cliques
  449. Fri May 31 12:57:14 2019  commencing in-memory singleton removal
  450. Fri May 31 12:57:25 2019  begin with 93301453 relations and 91629202 unique ideals
  451. Fri May 31 12:59:37 2019  reduce to 92569017 relations and 83535391 ideals in 9 passes
  452. Fri May 31 12:59:37 2019  max relations containing the same ideal: 138
  453. Fri May 31 13:00:48 2019  removing 8483940 relations and 6483940 ideals in 2000000 cliques
  454. Fri May 31 13:00:53 2019  commencing in-memory singleton removal
  455. Fri May 31 13:01:03 2019  begin with 84085077 relations and 83535391 unique ideals
  456. Fri May 31 13:02:47 2019  reduce to 83423873 relations and 76376259 ideals in 8 passes
  457. Fri May 31 13:02:47 2019  max relations containing the same ideal: 126
  458. Fri May 31 13:03:52 2019  removing 8060196 relations and 6060196 ideals in 2000000 cliques
  459. Fri May 31 13:03:57 2019  commencing in-memory singleton removal
  460. Fri May 31 13:04:06 2019  begin with 75363677 relations and 76376259 unique ideals
  461. Fri May 31 13:05:48 2019  reduce to 74714309 relations and 69652245 ideals in 9 passes
  462. Fri May 31 13:05:48 2019  max relations containing the same ideal: 115
  463. Fri May 31 13:06:45 2019  removing 7813065 relations and 5813065 ideals in 2000000 cliques
  464. Fri May 31 13:06:49 2019  commencing in-memory singleton removal
  465. Fri May 31 13:06:57 2019  begin with 66901244 relations and 69652245 unique ideals
  466. Fri May 31 13:08:27 2019  reduce to 66226991 relations and 63148409 ideals in 9 passes
  467. Fri May 31 13:08:27 2019  max relations containing the same ideal: 106
  468. Fri May 31 13:09:17 2019  removing 7681759 relations and 5681759 ideals in 2000000 cliques
  469. Fri May 31 13:09:21 2019  commencing in-memory singleton removal
  470. Fri May 31 13:09:28 2019  begin with 58545232 relations and 63148409 unique ideals
  471. Fri May 31 13:10:37 2019  reduce to 57807962 relations and 56708896 ideals in 8 passes
  472. Fri May 31 13:10:37 2019  max relations containing the same ideal: 97
  473. Fri May 31 13:11:21 2019  removing 326946 relations and 283561 ideals in 43385 cliques
  474. Fri May 31 13:11:23 2019  commencing in-memory singleton removal
  475. Fri May 31 13:11:29 2019  begin with 57481016 relations and 56708896 unique ideals
  476. Fri May 31 13:12:12 2019  reduce to 57479936 relations and 56424254 ideals in 5 passes
  477. Fri May 31 13:12:12 2019  max relations containing the same ideal: 97
  478. Fri May 31 13:12:32 2019  relations with 0 large ideals: 71502
  479. Fri May 31 13:12:32 2019  relations with 1 large ideals: 13697
  480. Fri May 31 13:12:32 2019  relations with 2 large ideals: 169217
  481. Fri May 31 13:12:32 2019  relations with 3 large ideals: 1147737
  482. Fri May 31 13:12:32 2019  relations with 4 large ideals: 4351165
  483. Fri May 31 13:12:32 2019  relations with 5 large ideals: 10061242
  484. Fri May 31 13:12:32 2019  relations with 6 large ideals: 16639005
  485. Fri May 31 13:12:32 2019  relations with 7+ large ideals: 25026371
  486. Fri May 31 13:12:32 2019  commencing 2-way merge
  487. Fri May 31 13:13:29 2019  reduce to 38491881 relation sets and 37436199 unique ideals
  488. Fri May 31 13:13:29 2019  commencing full merge
  489. Fri May 31 14:03:38 2019  memory use: 1734.9 MB
  490. Fri May 31 14:03:39 2019  found 231445 cycles, need 8198269
  491. Fri May 31 14:03:39 2019  too few cycles, matrix probably cannot build
  492. Fri May 31 14:03:39 2019  
  493. Fri May 31 14:03:39 2019  
  494. Fri May 31 14:03:39 2019  Msieve v. 1.53 (SVN 993)
  495. Fri May 31 14:03:39 2019  random seeds: d8cd7cb2 59347024
  496. Fri May 31 14:03:39 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  497. Fri May 31 14:03:41 2019  no P-1/P+1/ECM available, skipping
  498. Fri May 31 14:03:41 2019  commencing number field sieve (216-digit input)
  499. Fri May 31 14:03:41 2019  R0: 375710212613636260406709802013744589495625388682793
  500. Fri May 31 14:03:41 2019  R1: -174588755932389037098918153698611839369216
  501. Fri May 31 14:03:41 2019  A0: -1
  502. Fri May 31 14:03:41 2019  A1: 3
  503. Fri May 31 14:03:41 2019  A2: 3
  504. Fri May 31 14:03:41 2019  A3: -4
  505. Fri May 31 14:03:41 2019  A4: -1
  506. Fri May 31 14:03:41 2019  A5: 1
  507. Fri May 31 14:03:41 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  508. Fri May 31 14:03:41 2019  
  509. Fri May 31 14:03:41 2019  commencing relation filtering
  510. Fri May 31 14:03:41 2019  setting target matrix density to 106.0
  511. Fri May 31 14:03:41 2019  estimated available RAM is 95375.2 MB
  512. Fri May 31 14:03:41 2019  commencing duplicate removal, pass 1
  513.   1 errors
  514. Fri May 31 14:29:41 2019  skipped 1 relations with composite factors
  515. Fri May 31 14:29:41 2019  found 7373388 hash collisions in 182973337 relations
  516. Fri May 31 14:29:41 2019  commencing duplicate removal, pass 2
  517. Fri May 31 14:30:23 2019  found 0 duplicates and 182973337 unique relations
  518. Fri May 31 14:30:23 2019  memory use: 522.4 MB
  519. Fri May 31 14:30:23 2019  reading ideals above 720000
  520. Fri May 31 14:30:23 2019  commencing singleton removal, initial pass
  521. Fri May 31 14:52:24 2019  memory use: 5512.0 MB
  522. Fri May 31 14:52:24 2019  reading all ideals from disk
  523. Fri May 31 14:52:29 2019  memory use: 7407.5 MB
  524. Fri May 31 14:52:54 2019  keeping 176992868 ideals with weight <= 200, target excess is 910069
  525. Fri May 31 14:53:20 2019  commencing in-memory singleton removal
  526. Fri May 31 14:53:38 2019  begin with 182973337 relations and 176992868 unique ideals
  527. Fri May 31 14:57:00 2019  reduce to 115935919 relations and 102943637 ideals in 17 passes
  528. Fri May 31 14:57:00 2019  max relations containing the same ideal: 157
  529. Fri May 31 14:57:59 2019  removing 12188029 relations and 10188029 ideals in 2000000 cliques
  530. Fri May 31 14:58:03 2019  commencing in-memory singleton removal
  531. Fri May 31 14:58:13 2019  begin with 103747890 relations and 102943637 unique ideals
  532. Fri May 31 14:59:41 2019  reduce to 102647691 relations and 91629202 ideals in 9 passes
  533. Fri May 31 14:59:41 2019  max relations containing the same ideal: 146
  534. Fri May 31 15:00:33 2019  removing 9346238 relations and 7346238 ideals in 2000000 cliques
  535. Fri May 31 15:00:36 2019  commencing in-memory singleton removal
  536. Fri May 31 15:00:45 2019  begin with 93301453 relations and 91629202 unique ideals
  537. Fri May 31 15:02:03 2019  reduce to 92569017 relations and 83535391 ideals in 9 passes
  538. Fri May 31 15:02:03 2019  max relations containing the same ideal: 138
  539. Fri May 31 15:02:50 2019  removing 8483940 relations and 6483940 ideals in 2000000 cliques
  540. Fri May 31 15:02:54 2019  commencing in-memory singleton removal
  541. Fri May 31 15:03:01 2019  begin with 84085077 relations and 83535391 unique ideals
  542. Fri May 31 15:04:03 2019  reduce to 83423873 relations and 76376259 ideals in 8 passes
  543. Fri May 31 15:04:03 2019  max relations containing the same ideal: 126
  544. Fri May 31 15:04:46 2019  removing 8060196 relations and 6060196 ideals in 2000000 cliques
  545. Fri May 31 15:04:49 2019  commencing in-memory singleton removal
  546. Fri May 31 15:04:56 2019  begin with 75363677 relations and 76376259 unique ideals
  547. Fri May 31 15:05:58 2019  reduce to 74714309 relations and 69652245 ideals in 9 passes
  548. Fri May 31 15:05:58 2019  max relations containing the same ideal: 115
  549. Fri May 31 15:06:36 2019  removing 7813065 relations and 5813065 ideals in 2000000 cliques
  550. Fri May 31 15:06:39 2019  commencing in-memory singleton removal
  551. Fri May 31 15:06:45 2019  begin with 66901244 relations and 69652245 unique ideals
  552. Fri May 31 15:07:39 2019  reduce to 66226991 relations and 63148409 ideals in 9 passes
  553. Fri May 31 15:07:39 2019  max relations containing the same ideal: 106
  554. Fri May 31 15:08:13 2019  removing 7681759 relations and 5681759 ideals in 2000000 cliques
  555. Fri May 31 15:08:16 2019  commencing in-memory singleton removal
  556. Fri May 31 15:08:21 2019  begin with 58545232 relations and 63148409 unique ideals
  557. Fri May 31 15:09:03 2019  reduce to 57807962 relations and 56708896 ideals in 8 passes
  558. Fri May 31 15:09:03 2019  max relations containing the same ideal: 97
  559. Fri May 31 15:09:33 2019  removing 326946 relations and 283561 ideals in 43385 cliques
  560. Fri May 31 15:09:35 2019  commencing in-memory singleton removal
  561. Fri May 31 15:09:40 2019  begin with 57481016 relations and 56708896 unique ideals
  562. Fri May 31 15:10:05 2019  reduce to 57479936 relations and 56424254 ideals in 5 passes
  563. Fri May 31 15:10:05 2019  max relations containing the same ideal: 97
  564. Fri May 31 15:10:17 2019  relations with 0 large ideals: 71502
  565. Fri May 31 15:10:17 2019  relations with 1 large ideals: 13697
  566. Fri May 31 15:10:17 2019  relations with 2 large ideals: 169217
  567. Fri May 31 15:10:17 2019  relations with 3 large ideals: 1147737
  568. Fri May 31 15:10:17 2019  relations with 4 large ideals: 4351165
  569. Fri May 31 15:10:17 2019  relations with 5 large ideals: 10061242
  570. Fri May 31 15:10:17 2019  relations with 6 large ideals: 16639005
  571. Fri May 31 15:10:17 2019  relations with 7+ large ideals: 25026371
  572. Fri May 31 15:10:17 2019  commencing 2-way merge
  573. Fri May 31 15:10:56 2019  reduce to 38491881 relation sets and 37436199 unique ideals
  574. Fri May 31 15:10:56 2019  commencing full merge
  575. Fri May 31 15:26:25 2019  memory use: 4794.4 MB
  576. Fri May 31 15:26:29 2019  found 17625287 cycles, need 17594399
  577. Fri May 31 15:26:35 2019  weight of 17594399 cycles is about 1865313601 (106.02/cycle)
  578. Fri May 31 15:26:35 2019  distribution of cycle lengths:
  579. Fri May 31 15:26:35 2019  1 relations: 1136969
  580. Fri May 31 15:26:35 2019  2 relations: 1360928
  581. Fri May 31 15:26:35 2019  3 relations: 1458280
  582. Fri May 31 15:26:35 2019  4 relations: 1421222
  583. Fri May 31 15:26:35 2019  5 relations: 1371321
  584. Fri May 31 15:26:35 2019  6 relations: 1297510
  585. Fri May 31 15:26:35 2019  7 relations: 1211175
  586. Fri May 31 15:26:35 2019  8 relations: 1126051
  587. Fri May 31 15:26:35 2019  9 relations: 1031231
  588. Fri May 31 15:26:35 2019  10+ relations: 6179712
  589. Fri May 31 15:26:35 2019  heaviest cycle: 28 relations
  590. Fri May 31 15:26:39 2019  commencing cycle optimization
  591. Fri May 31 15:27:13 2019  start with 144699028 relations
  592. Fri May 31 15:32:46 2019  pruned 6024582 relations
  593. Fri May 31 15:32:46 2019  memory use: 3874.4 MB
  594. Fri May 31 15:32:46 2019  distribution of cycle lengths:
  595. Fri May 31 15:32:46 2019  1 relations: 1136969
  596. Fri May 31 15:32:46 2019  2 relations: 1392131
  597. Fri May 31 15:32:46 2019  3 relations: 1518552
  598. Fri May 31 15:32:46 2019  4 relations: 1477352
  599. Fri May 31 15:32:46 2019  5 relations: 1434013
  600. Fri May 31 15:32:46 2019  6 relations: 1349308
  601. Fri May 31 15:32:46 2019  7 relations: 1261248
  602. Fri May 31 15:32:46 2019  8 relations: 1164489
  603. Fri May 31 15:32:46 2019  9 relations: 1062612
  604. Fri May 31 15:32:46 2019  10+ relations: 5797725
  605. Fri May 31 15:32:46 2019  heaviest cycle: 28 relations
  606. Fri May 31 15:33:24 2019  RelProcTime: 5383
  607. Fri May 31 15:33:24 2019  elapsed time 01:29:45
  608. Fri May 31 15:33:25 2019  
  609. Fri May 31 15:33:25 2019  
  610. Fri May 31 15:33:25 2019  Msieve v. 1.53 (SVN 993)
  611. Fri May 31 15:33:25 2019  random seeds: 1d766397 b53bdfa3
  612. Fri May 31 15:33:25 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  613. Fri May 31 15:33:26 2019  no P-1/P+1/ECM available, skipping
  614. Fri May 31 15:33:26 2019  commencing number field sieve (216-digit input)
  615. Fri May 31 15:33:26 2019  R0: 375710212613636260406709802013744589495625388682793
  616. Fri May 31 15:33:26 2019  R1: -174588755932389037098918153698611839369216
  617. Fri May 31 15:33:26 2019  A0: -1
  618. Fri May 31 15:33:26 2019  A1: 3
  619. Fri May 31 15:33:26 2019  A2: 3
  620. Fri May 31 15:33:26 2019  A3: -4
  621. Fri May 31 15:33:26 2019  A4: -1
  622. Fri May 31 15:33:26 2019  A5: 1
  623. Fri May 31 15:33:26 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  624. Fri May 31 15:33:26 2019  
  625. Fri May 31 15:33:26 2019  commencing relation filtering
  626. Fri May 31 15:33:26 2019  setting target matrix density to 108.0
  627. Fri May 31 15:33:26 2019  estimated available RAM is 95375.2 MB
  628. Fri May 31 15:33:26 2019  commencing duplicate removal, pass 1
  629.   1 errors
  630. Fri May 31 15:57:33 2019  skipped 1 relations with composite factors
  631. Fri May 31 15:57:33 2019  found 7373388 hash collisions in 182973337 relations
  632. Fri May 31 15:57:33 2019  commencing duplicate removal, pass 2
  633. Fri May 31 15:58:15 2019  found 0 duplicates and 182973337 unique relations
  634. Fri May 31 15:58:15 2019  memory use: 522.4 MB
  635. Fri May 31 15:58:15 2019  reading ideals above 720000
  636. Fri May 31 15:58:15 2019  commencing singleton removal, initial pass
  637. Fri May 31 16:20:08 2019  memory use: 5512.0 MB
  638. Fri May 31 16:20:08 2019  reading all ideals from disk
  639. Fri May 31 16:20:12 2019  memory use: 7407.5 MB
  640. Fri May 31 16:20:36 2019  keeping 176992868 ideals with weight <= 200, target excess is 910069
  641. Fri May 31 16:21:02 2019  commencing in-memory singleton removal
  642. Fri May 31 16:21:20 2019  begin with 182973337 relations and 176992868 unique ideals
  643. Fri May 31 16:24:43 2019  reduce to 115935919 relations and 102943637 ideals in 17 passes
  644. Fri May 31 16:24:43 2019  max relations containing the same ideal: 157
  645. Fri May 31 16:25:42 2019  removing 12188029 relations and 10188029 ideals in 2000000 cliques
  646. Fri May 31 16:25:47 2019  commencing in-memory singleton removal
  647. Fri May 31 16:25:56 2019  begin with 103747890 relations and 102943637 unique ideals
  648. Fri May 31 16:27:25 2019  reduce to 102647691 relations and 91629202 ideals in 9 passes
  649. Fri May 31 16:27:25 2019  max relations containing the same ideal: 146
  650. Fri May 31 16:28:17 2019  removing 9346238 relations and 7346238 ideals in 2000000 cliques
  651. Fri May 31 16:28:20 2019  commencing in-memory singleton removal
  652. Fri May 31 16:28:29 2019  begin with 93301453 relations and 91629202 unique ideals
  653. Fri May 31 16:29:48 2019  reduce to 92569017 relations and 83535391 ideals in 9 passes
  654. Fri May 31 16:29:48 2019  max relations containing the same ideal: 138
  655. Fri May 31 16:30:35 2019  removing 8483940 relations and 6483940 ideals in 2000000 cliques
  656. Fri May 31 16:30:38 2019  commencing in-memory singleton removal
  657. Fri May 31 16:30:46 2019  begin with 84085077 relations and 83535391 unique ideals
  658. Fri May 31 16:31:48 2019  reduce to 83423873 relations and 76376259 ideals in 8 passes
  659. Fri May 31 16:31:48 2019  max relations containing the same ideal: 126
  660. Fri May 31 16:32:31 2019  removing 8060196 relations and 6060196 ideals in 2000000 cliques
  661. Fri May 31 16:32:34 2019  commencing in-memory singleton removal
  662. Fri May 31 16:32:41 2019  begin with 75363677 relations and 76376259 unique ideals
  663. Fri May 31 16:33:43 2019  reduce to 74714309 relations and 69652245 ideals in 9 passes
  664. Fri May 31 16:33:43 2019  max relations containing the same ideal: 115
  665. Fri May 31 16:34:22 2019  removing 7813065 relations and 5813065 ideals in 2000000 cliques
  666. Fri May 31 16:34:25 2019  commencing in-memory singleton removal
  667. Fri May 31 16:34:31 2019  begin with 66901244 relations and 69652245 unique ideals
  668. Fri May 31 16:35:25 2019  reduce to 66226991 relations and 63148409 ideals in 9 passes
  669. Fri May 31 16:35:25 2019  max relations containing the same ideal: 106
  670. Fri May 31 16:35:59 2019  removing 7681759 relations and 5681759 ideals in 2000000 cliques
  671. Fri May 31 16:36:02 2019  commencing in-memory singleton removal
  672. Fri May 31 16:36:07 2019  begin with 58545232 relations and 63148409 unique ideals
  673. Fri May 31 16:36:49 2019  reduce to 57807962 relations and 56708896 ideals in 8 passes
  674. Fri May 31 16:36:49 2019  max relations containing the same ideal: 97
  675. Fri May 31 16:37:19 2019  removing 326946 relations and 283561 ideals in 43385 cliques
  676. Fri May 31 16:37:21 2019  commencing in-memory singleton removal
  677. Fri May 31 16:37:26 2019  begin with 57481016 relations and 56708896 unique ideals
  678. Fri May 31 16:37:51 2019  reduce to 57479936 relations and 56424254 ideals in 5 passes
  679. Fri May 31 16:37:51 2019  max relations containing the same ideal: 97
  680. Fri May 31 16:38:03 2019  relations with 0 large ideals: 71502
  681. Fri May 31 16:38:03 2019  relations with 1 large ideals: 13697
  682. Fri May 31 16:38:03 2019  relations with 2 large ideals: 169217
  683. Fri May 31 16:38:03 2019  relations with 3 large ideals: 1147737
  684. Fri May 31 16:38:03 2019  relations with 4 large ideals: 4351165
  685. Fri May 31 16:38:03 2019  relations with 5 large ideals: 10061242
  686. Fri May 31 16:38:03 2019  relations with 6 large ideals: 16639005
  687. Fri May 31 16:38:03 2019  relations with 7+ large ideals: 25026371
  688. Fri May 31 16:38:03 2019  commencing 2-way merge
  689. Fri May 31 16:38:43 2019  reduce to 38491881 relation sets and 37436199 unique ideals
  690. Fri May 31 16:38:43 2019  commencing full merge
  691. Fri May 31 16:54:25 2019  memory use: 4800.2 MB
  692. Fri May 31 16:54:28 2019  found 17502634 cycles, need 17488399
  693. Fri May 31 16:54:35 2019  weight of 17488399 cycles is about 1888932748 (108.01/cycle)
  694. Fri May 31 16:54:35 2019  distribution of cycle lengths:
  695. Fri May 31 16:54:35 2019  1 relations: 1100304
  696. Fri May 31 16:54:35 2019  2 relations: 1325955
  697. Fri May 31 16:54:35 2019  3 relations: 1421282
  698. Fri May 31 16:54:35 2019  4 relations: 1387798
  699. Fri May 31 16:54:35 2019  5 relations: 1341181
  700. Fri May 31 16:54:35 2019  6 relations: 1272590
  701. Fri May 31 16:54:35 2019  7 relations: 1190491
  702. Fri May 31 16:54:35 2019  8 relations: 1111000
  703. Fri May 31 16:54:35 2019  9 relations: 1021250
  704. Fri May 31 16:54:35 2019  10+ relations: 6316548
  705. Fri May 31 16:54:35 2019  heaviest cycle: 28 relations
  706. Fri May 31 16:54:40 2019  commencing cycle optimization
  707. Fri May 31 16:55:14 2019  start with 146519237 relations
  708. Fri May 31 17:00:59 2019  pruned 6201478 relations
  709. Fri May 31 17:00:59 2019  memory use: 3892.8 MB
  710. Fri May 31 17:00:59 2019  distribution of cycle lengths:
  711. Fri May 31 17:00:59 2019  1 relations: 1100304
  712. Fri May 31 17:00:59 2019  2 relations: 1356413
  713. Fri May 31 17:00:59 2019  3 relations: 1480149
  714. Fri May 31 17:00:59 2019  4 relations: 1443096
  715. Fri May 31 17:00:59 2019  5 relations: 1403258
  716. Fri May 31 17:00:59 2019  6 relations: 1324427
  717. Fri May 31 17:00:59 2019  7 relations: 1240979
  718. Fri May 31 17:00:59 2019  8 relations: 1150407
  719. Fri May 31 17:00:59 2019  9 relations: 1053713
  720. Fri May 31 17:00:59 2019  10+ relations: 5935653
  721. Fri May 31 17:00:59 2019  heaviest cycle: 28 relations
  722. Fri May 31 17:01:37 2019  RelProcTime: 5291
  723. Fri May 31 17:01:37 2019  elapsed time 01:28:12
  724. Fri May 31 19:19:28 2019  
  725. Fri May 31 19:19:28 2019  
  726. Fri May 31 19:19:28 2019  Msieve v. 1.54 (SVN 1022M)
  727. Fri May 31 19:19:28 2019  random seeds: 618aadcb c40c241f
  728. Fri May 31 19:19:28 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  729. Fri May 31 19:19:29 2019  no P-1/P+1/ECM available, skipping
  730. Fri May 31 19:19:29 2019  commencing number field sieve (216-digit input)
  731. Fri May 31 19:19:29 2019  R0: 375710212613636260406709802013744589495625388682793
  732. Fri May 31 19:19:29 2019  R1: -174588755932389037098918153698611839369216
  733. Fri May 31 19:19:29 2019  A0: -1
  734. Fri May 31 19:19:29 2019  A1: 3
  735. Fri May 31 19:19:29 2019  A2: 3
  736. Fri May 31 19:19:29 2019  A3: -4
  737. Fri May 31 19:19:29 2019  A4: -1
  738. Fri May 31 19:19:29 2019  A5: 1
  739. Fri May 31 19:19:29 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  740. Fri May 31 19:19:29 2019  
  741. Fri May 31 19:19:29 2019  commencing linear algebra
  742. Fri May 31 19:19:31 2019  read 17488399 cycles
  743. Fri May 31 19:20:11 2019  cycles contain 56830803 unique relations
  744. Fri May 31 19:24:40 2019  read 56830803 relations
  745. Fri May 31 19:26:36 2019  using 20 quadratic characters above 4294917295
  746. Fri May 31 19:31:33 2019  building initial matrix
  747. Fri May 31 19:43:30 2019  memory use: 6977.9 MB
  748. Fri May 31 19:43:39 2019  read 17488399 cycles
  749. Fri May 31 19:43:41 2019  matrix is 17488222 x 17488399 (7527.4 MB) with weight 2141723891 (122.47/col)
  750. Fri May 31 19:43:41 2019  sparse part has weight 1780880848 (101.83/col)
  751. Fri May 31 19:47:27 2019  filtering completed in 2 passes
  752. Fri May 31 19:47:30 2019  matrix is 17487901 x 17488063 (7527.3 MB) with weight 2141714261 (122.47/col)
  753. Fri May 31 19:47:30 2019  sparse part has weight 1780878118 (101.83/col)
  754. Fri May 31 19:48:14 2019  matrix starts at (0, 0)
  755. Fri May 31 19:48:16 2019  matrix is 17487901 x 17488063 (7527.3 MB) with weight 2141714261 (122.47/col)
  756. Fri May 31 19:48:16 2019  sparse part has weight 1780878118 (101.83/col)
  757. Fri May 31 19:48:16 2019  saving the first 240 matrix rows for later
  758. Fri May 31 19:48:20 2019  matrix includes 256 packed rows
  759. Fri May 31 19:48:26 2019  matrix is 17487661 x 17488063 (6978.8 MB) with weight 1630247803 (93.22/col)
  760. Fri May 31 19:48:26 2019  sparse part has weight 1549649648 (88.61/col)
  761. Fri May 31 19:48:26 2019  using block size 8192 and superblock size 337920 for processor cache size 14080 kB
  762. Fri May 31 19:49:11 2019  commencing Lanczos iteration (20 threads)
  763. Fri May 31 19:49:11 2019  memory use: 9885.9 MB
  764. Fri May 31 19:49:40 2019  linear algebra at 0.0%, ETA 73h 1m
  765. Fri May 31 19:49:47 2019  checkpointing every 250000 dimensions
  766. Mon Jun  3 14:03:28 2019  lanczos halted after 68518 iterations (dim = 17487656)
  767. Mon Jun  3 14:04:56 2019  recovered 32 nontrivial dependencies
  768. Mon Jun  3 14:04:58 2019  BLanczosTime: 240329
  769. Mon Jun  3 14:04:58 2019  elapsed time 66:45:30
  770. Mon Jun  3 14:04:58 2019  
  771. Mon Jun  3 14:04:58 2019  
  772. Mon Jun  3 14:04:58 2019  Msieve v. 1.54 (SVN 1022M)
  773. Mon Jun  3 14:04:58 2019  random seeds: 0b7553c0 ef9db764
  774. Mon Jun  3 14:04:58 2019  factoring 843763404183788271732784146138755193990133076926638690711734996232949541156298094386916048916710598766257518568025652763551848516637215388404534905452595192592106344919141852592315159325418136903273127649392849231967 (216 digits)
  775. Mon Jun  3 14:04:59 2019  no P-1/P+1/ECM available, skipping
  776. Mon Jun  3 14:04:59 2019  commencing number field sieve (216-digit input)
  777. Mon Jun  3 14:04:59 2019  R0: 375710212613636260406709802013744589495625388682793
  778. Mon Jun  3 14:04:59 2019  R1: -174588755932389037098918153698611839369216
  779. Mon Jun  3 14:04:59 2019  A0: -1
  780. Mon Jun  3 14:04:59 2019  A1: 3
  781. Mon Jun  3 14:04:59 2019  A2: 3
  782. Mon Jun  3 14:04:59 2019  A3: -4
  783. Mon Jun  3 14:04:59 2019  A4: -1
  784. Mon Jun  3 14:04:59 2019  A5: 1
  785. Mon Jun  3 14:04:59 2019  skew 1.00, size 3.525e-17, alpha 2.379, combined = 9.981e-14 rroots = 5
  786. Mon Jun  3 14:04:59 2019  
  787. Mon Jun  3 14:04:59 2019  commencing square root phase
  788. Mon Jun  3 14:04:59 2019  reading relations for dependency 1
  789. Mon Jun  3 14:05:01 2019  read 8741249 cycles
  790. Mon Jun  3 14:05:19 2019  cycles contain 28415372 unique relations
  791. Mon Jun  3 14:08:36 2019  read 28415372 relations
  792. Mon Jun  3 14:12:51 2019  multiplying 28415372 relations
  793. Mon Jun  3 14:43:50 2019  multiply complete, coefficients have about 728.69 million bits
  794. Mon Jun  3 14:43:55 2019  initial square root is modulo 3447221
  795. Mon Jun  3 15:19:39 2019  sqrtTime: 4480
  796. Mon Jun  3 15:19:39 2019  p104 factor: 22042851745605959878771845664389606462224174491430453566627628057096986235874655520450482229397000556499
  797. Mon Jun  3 15:19:39 2019  p113 factor: 38278323237009692260419284968575835351756746512219784908709108154714223818167894814662546228184190844116030382533
  798. Mon Jun  3 15:19:39 2019  elapsed time 01:14:41
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