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5p2_395

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  1. Sat Dec 22 09:58:18 2018  
  2. Sat Dec 22 09:58:18 2018  
  3. Sat Dec 22 09:58:18 2018  Msieve v. 1.53 (SVN 988M)
  4. Sat Dec 22 09:58:18 2018  random seeds: 83f26a36 8bbcc374
  5. Sat Dec 22 09:58:18 2018  factoring 19197907695332090976583151923807396242329346572304038928362262140073588585456320681790952235373786169850148377844043227123481336204374315736340916681459614381905529838977783929872001 (182 digits)
  6. Sat Dec 22 09:58:19 2018  searching for 15-digit factors
  7. Sat Dec 22 09:58:20 2018  commencing number field sieve (182-digit input)
  8. Sat Dec 22 09:58:20 2018  R0: 16543612251060553497428173841399257071316242218017578125
  9. Sat Dec 22 09:58:20 2018  R1: -604462909807314587353088
  10. Sat Dec 22 09:58:20 2018  A0: 1
  11. Sat Dec 22 09:58:20 2018  A1: -1
  12. Sat Dec 22 09:58:20 2018  A2: 1
  13. Sat Dec 22 09:58:20 2018  A3: -1
  14. Sat Dec 22 09:58:20 2018  A4: 1
  15. Sat Dec 22 09:58:20 2018  skew 1.00, size 1.673e-22, alpha 1.694, combined = 2.023e-13 rroots = 0
  16. Sat Dec 22 09:58:20 2018  
  17. Sat Dec 22 09:58:20 2018  commencing relation filtering
  18. Sat Dec 22 09:58:20 2018  setting target matrix density to 130.0
  19. Sat Dec 22 09:58:20 2018  estimated available RAM is 32768.0 MB
  20. Sat Dec 22 09:58:20 2018  commencing duplicate removal, pass 1
  21. Sat Dec 22 09:59:08 2018  error -9 reading relation 7503149
  22. ...
  23. Sat Dec 22 10:23:15 2018  error -9 reading relation 233094771
  24. Sat Dec 22 10:23:15 2018  skipped 921 relations with b > 2^32
  25. Sat Dec 22 10:23:15 2018  skipped 927 relations with composite factors
  26. Sat Dec 22 10:23:15 2018  found 44937789 hash collisions in 233093315 relations
  27. Sat Dec 22 10:23:22 2018  added 3657741 free relations
  28. Sat Dec 22 10:23:22 2018  commencing duplicate removal, pass 2
  29. Sat Dec 22 10:26:35 2018  found 44036950 duplicates and 192714106 unique relations
  30. Sat Dec 22 10:26:35 2018  memory use: 1321.5 MB
  31. Sat Dec 22 10:26:35 2018  reading ideals above 229703680
  32. Sat Dec 22 10:26:35 2018  commencing singleton removal, initial pass
  33. Sat Dec 22 10:41:45 2018  memory use: 3012.0 MB
  34. Sat Dec 22 10:41:46 2018  reading all ideals from disk
  35. Sat Dec 22 10:41:48 2018  memory use: 2926.1 MB
  36. Sat Dec 22 10:41:53 2018  commencing in-memory singleton removal
  37. Sat Dec 22 10:41:58 2018  begin with 192714106 relations and 145227004 unique ideals
  38. Sat Dec 22 10:43:09 2018  reduce to 125962040 relations and 71495071 ideals in 15 passes
  39. Sat Dec 22 10:43:09 2018  max relations containing the same ideal: 35
  40. Sat Dec 22 10:43:18 2018  reading ideals above 720000
  41. Sat Dec 22 10:43:18 2018  commencing singleton removal, initial pass
  42. Sat Dec 22 10:57:01 2018  memory use: 2756.0 MB
  43. Sat Dec 22 10:57:02 2018  reading all ideals from disk
  44. Sat Dec 22 10:57:06 2018  memory use: 4908.0 MB
  45. Sat Dec 22 10:57:16 2018  keeping 96099808 ideals with weight <= 200, target excess is 648407
  46. Sat Dec 22 10:57:27 2018  commencing in-memory singleton removal
  47. Sat Dec 22 10:57:36 2018  begin with 125962040 relations and 96099808 unique ideals
  48. Sat Dec 22 10:59:09 2018  reduce to 125876137 relations and 96012418 ideals in 10 passes
  49. Sat Dec 22 10:59:09 2018  max relations containing the same ideal: 200
  50. Sat Dec 22 10:59:55 2018  removing 10026822 relations and 8026822 ideals in 2000000 cliques
  51. Sat Dec 22 10:59:58 2018  commencing in-memory singleton removal
  52. Sat Dec 22 11:00:06 2018  begin with 115849315 relations and 96012418 unique ideals
  53. Sat Dec 22 11:01:14 2018  reduce to 115282690 relations and 87407471 ideals in 8 passes
  54. Sat Dec 22 11:01:14 2018  max relations containing the same ideal: 196
  55. Sat Dec 22 11:01:56 2018  removing 7593284 relations and 5593284 ideals in 2000000 cliques
  56. Sat Dec 22 11:01:59 2018  commencing in-memory singleton removal
  57. Sat Dec 22 11:02:06 2018  begin with 107689406 relations and 87407471 unique ideals
  58. Sat Dec 22 11:03:09 2018  reduce to 107313356 relations and 81431539 ideals in 8 passes
  59. Sat Dec 22 11:03:09 2018  max relations containing the same ideal: 192
  60. Sat Dec 22 11:03:48 2018  removing 6881015 relations and 4881015 ideals in 2000000 cliques
  61. Sat Dec 22 11:03:51 2018  commencing in-memory singleton removal
  62. Sat Dec 22 11:03:58 2018  begin with 100432341 relations and 81431539 unique ideals
  63. Sat Dec 22 11:04:42 2018  reduce to 100109759 relations and 76222138 ideals in 6 passes
  64. Sat Dec 22 11:04:42 2018  max relations containing the same ideal: 184
  65. Sat Dec 22 11:05:18 2018  removing 6508643 relations and 4508643 ideals in 2000000 cliques
  66. Sat Dec 22 11:05:21 2018  commencing in-memory singleton removal
  67. Sat Dec 22 11:05:27 2018  begin with 93601116 relations and 76222138 unique ideals
  68. Sat Dec 22 11:06:08 2018  reduce to 93304955 relations and 71411775 ideals in 6 passes
  69. Sat Dec 22 11:06:08 2018  max relations containing the same ideal: 175
  70. Sat Dec 22 11:06:42 2018  removing 6265631 relations and 4265631 ideals in 2000000 cliques
  71. Sat Dec 22 11:06:45 2018  commencing in-memory singleton removal
  72. Sat Dec 22 11:06:50 2018  begin with 87039324 relations and 71411775 unique ideals
  73. Sat Dec 22 11:07:35 2018  reduce to 86758342 relations and 66859520 ideals in 7 passes
  74. Sat Dec 22 11:07:35 2018  max relations containing the same ideal: 169
  75. Sat Dec 22 11:08:07 2018  removing 6086253 relations and 4086253 ideals in 2000000 cliques
  76. Sat Dec 22 11:08:09 2018  commencing in-memory singleton removal
  77. Sat Dec 22 11:08:14 2018  begin with 80672089 relations and 66859520 unique ideals
  78. Sat Dec 22 11:08:54 2018  reduce to 80395401 relations and 62490885 ideals in 7 passes
  79. Sat Dec 22 11:08:54 2018  max relations containing the same ideal: 160
  80. Sat Dec 22 11:09:24 2018  removing 5954203 relations and 3954203 ideals in 2000000 cliques
  81. Sat Dec 22 11:09:27 2018  commencing in-memory singleton removal
  82. Sat Dec 22 11:09:32 2018  begin with 74441198 relations and 62490885 unique ideals
  83. Sat Dec 22 11:10:04 2018  reduce to 74165796 relations and 58255101 ideals in 6 passes
  84. Sat Dec 22 11:10:04 2018  max relations containing the same ideal: 151
  85. Sat Dec 22 11:10:31 2018  removing 5848447 relations and 3848447 ideals in 2000000 cliques
  86. Sat Dec 22 11:10:33 2018  commencing in-memory singleton removal
  87. Sat Dec 22 11:10:38 2018  begin with 68317349 relations and 58255101 unique ideals
  88. Sat Dec 22 11:11:07 2018  reduce to 68041121 relations and 54123780 ideals in 6 passes
  89. Sat Dec 22 11:11:07 2018  max relations containing the same ideal: 143
  90. Sat Dec 22 11:11:32 2018  removing 5758324 relations and 3758324 ideals in 2000000 cliques
  91. Sat Dec 22 11:11:34 2018  commencing in-memory singleton removal
  92. Sat Dec 22 11:11:38 2018  begin with 62282797 relations and 54123780 unique ideals
  93. Sat Dec 22 11:12:05 2018  reduce to 61998701 relations and 50074026 ideals in 6 passes
  94. Sat Dec 22 11:12:05 2018  max relations containing the same ideal: 136
  95. Sat Dec 22 11:12:28 2018  removing 5682231 relations and 3682231 ideals in 2000000 cliques
  96. Sat Dec 22 11:12:30 2018  commencing in-memory singleton removal
  97. Sat Dec 22 11:12:33 2018  begin with 56316470 relations and 50074026 unique ideals
  98. Sat Dec 22 11:12:57 2018  reduce to 56018570 relations and 46085437 ideals in 6 passes
  99. Sat Dec 22 11:12:57 2018  max relations containing the same ideal: 124
  100. Sat Dec 22 11:13:18 2018  removing 5624667 relations and 3624667 ideals in 2000000 cliques
  101. Sat Dec 22 11:13:19 2018  commencing in-memory singleton removal
  102. Sat Dec 22 11:13:22 2018  begin with 50393903 relations and 46085437 unique ideals
  103. Sat Dec 22 11:13:47 2018  reduce to 50077671 relations and 42134872 ideals in 7 passes
  104. Sat Dec 22 11:13:47 2018  max relations containing the same ideal: 116
  105. Sat Dec 22 11:14:06 2018  removing 5574503 relations and 3574503 ideals in 2000000 cliques
  106. Sat Dec 22 11:14:08 2018  commencing in-memory singleton removal
  107. Sat Dec 22 11:14:10 2018  begin with 44503168 relations and 42134872 unique ideals
  108. Sat Dec 22 11:14:32 2018  reduce to 44154186 relations and 38199453 ideals in 7 passes
  109. Sat Dec 22 11:14:32 2018  max relations containing the same ideal: 107
  110. Sat Dec 22 11:14:49 2018  removing 5549192 relations and 3549192 ideals in 2000000 cliques
  111. Sat Dec 22 11:14:50 2018  commencing in-memory singleton removal
  112. Sat Dec 22 11:14:53 2018  begin with 38604994 relations and 38199453 unique ideals
  113. Sat Dec 22 11:15:11 2018  reduce to 38206467 relations and 34236262 ideals in 7 passes
  114. Sat Dec 22 11:15:11 2018  max relations containing the same ideal: 99
  115. Sat Dec 22 11:15:26 2018  removing 5549996 relations and 3549996 ideals in 2000000 cliques
  116. Sat Dec 22 11:15:27 2018  commencing in-memory singleton removal
  117. Sat Dec 22 11:15:29 2018  begin with 32656471 relations and 34236262 unique ideals
  118. Sat Dec 22 11:15:44 2018  reduce to 32172933 relations and 30181435 ideals in 7 passes
  119. Sat Dec 22 11:15:44 2018  max relations containing the same ideal: 86
  120. Sat Dec 22 11:15:57 2018  removing 3758191 relations and 2518846 ideals in 1239345 cliques
  121. Sat Dec 22 11:15:58 2018  commencing in-memory singleton removal
  122. Sat Dec 22 11:16:00 2018  begin with 28414742 relations and 30181435 unique ideals
  123. Sat Dec 22 11:16:13 2018  reduce to 28100355 relations and 27337373 ideals in 7 passes
  124. Sat Dec 22 11:16:13 2018  max relations containing the same ideal: 78
  125. Sat Dec 22 11:16:23 2018  removing 66411 relations and 55582 ideals in 10829 cliques
  126. Sat Dec 22 11:16:24 2018  commencing in-memory singleton removal
  127. Sat Dec 22 11:16:26 2018  begin with 28033944 relations and 27337373 unique ideals
  128. Sat Dec 22 11:16:31 2018  reduce to 28033848 relations and 27281695 ideals in 3 passes
  129. Sat Dec 22 11:16:31 2018  max relations containing the same ideal: 78
  130. Sat Dec 22 11:16:35 2018  relations with 0 large ideals: 49285
  131. Sat Dec 22 11:16:35 2018  relations with 1 large ideals: 10583
  132. Sat Dec 22 11:16:35 2018  relations with 2 large ideals: 130979
  133. Sat Dec 22 11:16:35 2018  relations with 3 large ideals: 834652
  134. Sat Dec 22 11:16:35 2018  relations with 4 large ideals: 2920294
  135. Sat Dec 22 11:16:35 2018  relations with 5 large ideals: 6878304
  136. Sat Dec 22 11:16:35 2018  relations with 6 large ideals: 7354231
  137. Sat Dec 22 11:16:35 2018  relations with 7+ large ideals: 9855520
  138. Sat Dec 22 11:16:35 2018  commencing 2-way merge
  139. Sat Dec 22 11:16:50 2018  reduce to 19708380 relation sets and 18956227 unique ideals
  140. Sat Dec 22 11:16:50 2018  commencing full merge
  141. Sat Dec 22 11:27:56 2018  memory use: 880.3 MB
  142. Sat Dec 22 11:27:56 2018  found 76354 cycles, need 4259607
  143. Sat Dec 22 11:27:56 2018  too few cycles, matrix probably cannot build
  144. Sat Dec 22 11:32:26 2018  
  145. Sat Dec 22 11:32:26 2018  
  146. Sat Dec 22 11:32:26 2018  Msieve v. 1.53 (SVN 988M)
  147. Sat Dec 22 11:32:26 2018  random seeds: 643ba489 70007974
  148. Sat Dec 22 11:32:26 2018  factoring 19197907695332090976583151923807396242329346572304038928362262140073588585456320681790952235373786169850148377844043227123481336204374315736340916681459614381905529838977783929872001 (182 digits)
  149. Sat Dec 22 11:32:26 2018  searching for 15-digit factors
  150. Sat Dec 22 11:32:27 2018  commencing number field sieve (182-digit input)
  151. Sat Dec 22 11:32:27 2018  R0: 16543612251060553497428173841399257071316242218017578125
  152. Sat Dec 22 11:32:27 2018  R1: -604462909807314587353088
  153. Sat Dec 22 11:32:27 2018  A0: 1
  154. Sat Dec 22 11:32:27 2018  A1: -1
  155. Sat Dec 22 11:32:27 2018  A2: 1
  156. Sat Dec 22 11:32:27 2018  A3: -1
  157. Sat Dec 22 11:32:27 2018  A4: 1
  158. Sat Dec 22 11:32:27 2018  skew 1.00, size 1.673e-22, alpha 1.694, combined = 2.023e-13 rroots = 0
  159. Sat Dec 22 11:32:27 2018  
  160. Sat Dec 22 11:32:27 2018  commencing relation filtering
  161. Sat Dec 22 11:32:27 2018  setting target matrix density to 120.0
  162. Sat Dec 22 11:32:27 2018  estimated available RAM is 32768.0 MB
  163. Sat Dec 22 11:32:27 2018  commencing duplicate removal, pass 1
  164. Sat Dec 22 11:33:15 2018  error -9 reading relation 7503149
  165. ...
  166. Sat Dec 22 11:57:18 2018  error -9 reading relation 233094771
  167. Sat Dec 22 11:57:41 2018  skipped 921 relations with b > 2^32
  168. Sat Dec 22 11:57:41 2018  skipped 927 relations with composite factors
  169. Sat Dec 22 11:57:41 2018  found 45181840 hash collisions in 236751056 relations
  170. Sat Dec 22 11:57:41 2018  commencing duplicate removal, pass 2
  171. Sat Dec 22 12:00:54 2018  found 44036950 duplicates and 192714106 unique relations
  172. Sat Dec 22 12:00:54 2018  memory use: 1321.5 MB
  173. Sat Dec 22 12:00:54 2018  reading ideals above 229703680
  174. Sat Dec 22 12:00:54 2018  commencing singleton removal, initial pass
  175. Sat Dec 22 12:16:02 2018  memory use: 3012.0 MB
  176. Sat Dec 22 12:16:02 2018  reading all ideals from disk
  177. Sat Dec 22 12:16:04 2018  memory use: 2926.1 MB
  178. Sat Dec 22 12:16:09 2018  commencing in-memory singleton removal
  179. Sat Dec 22 12:16:14 2018  begin with 192714106 relations and 145227004 unique ideals
  180. Sat Dec 22 12:17:25 2018  reduce to 125962040 relations and 71495071 ideals in 15 passes
  181. Sat Dec 22 12:17:25 2018  max relations containing the same ideal: 35
  182. Sat Dec 22 12:17:34 2018  reading ideals above 720000
  183. Sat Dec 22 12:17:34 2018  commencing singleton removal, initial pass
  184. Sat Dec 22 12:31:20 2018  memory use: 2756.0 MB
  185. Sat Dec 22 12:31:20 2018  reading all ideals from disk
  186. Sat Dec 22 12:31:23 2018  memory use: 4908.0 MB
  187. Sat Dec 22 12:31:33 2018  keeping 96099808 ideals with weight <= 200, target excess is 648407
  188. Sat Dec 22 12:31:45 2018  commencing in-memory singleton removal
  189. Sat Dec 22 12:31:53 2018  begin with 125962040 relations and 96099808 unique ideals
  190. Sat Dec 22 12:33:26 2018  reduce to 125876137 relations and 96012418 ideals in 10 passes
  191. Sat Dec 22 12:33:26 2018  max relations containing the same ideal: 200
  192. Sat Dec 22 12:34:12 2018  removing 10026822 relations and 8026822 ideals in 2000000 cliques
  193. Sat Dec 22 12:34:15 2018  commencing in-memory singleton removal
  194. Sat Dec 22 12:34:23 2018  begin with 115849315 relations and 96012418 unique ideals
  195. Sat Dec 22 12:35:31 2018  reduce to 115282690 relations and 87407471 ideals in 8 passes
  196. Sat Dec 22 12:35:31 2018  max relations containing the same ideal: 196
  197. Sat Dec 22 12:36:13 2018  removing 7593284 relations and 5593284 ideals in 2000000 cliques
  198. Sat Dec 22 12:36:16 2018  commencing in-memory singleton removal
  199. Sat Dec 22 12:36:23 2018  begin with 107689406 relations and 87407471 unique ideals
  200. Sat Dec 22 12:37:26 2018  reduce to 107313356 relations and 81431539 ideals in 8 passes
  201. Sat Dec 22 12:37:26 2018  max relations containing the same ideal: 192
  202. Sat Dec 22 12:38:06 2018  removing 6881015 relations and 4881015 ideals in 2000000 cliques
  203. Sat Dec 22 12:38:08 2018  commencing in-memory singleton removal
  204. Sat Dec 22 12:38:15 2018  begin with 100432341 relations and 81431539 unique ideals
  205. Sat Dec 22 12:38:59 2018  reduce to 100109759 relations and 76222138 ideals in 6 passes
  206. Sat Dec 22 12:38:59 2018  max relations containing the same ideal: 184
  207. Sat Dec 22 12:39:36 2018  removing 6508643 relations and 4508643 ideals in 2000000 cliques
  208. Sat Dec 22 12:39:38 2018  commencing in-memory singleton removal
  209. Sat Dec 22 12:39:45 2018  begin with 93601116 relations and 76222138 unique ideals
  210. Sat Dec 22 12:40:25 2018  reduce to 93304955 relations and 71411775 ideals in 6 passes
  211. Sat Dec 22 12:40:25 2018  max relations containing the same ideal: 175
  212. Sat Dec 22 12:41:00 2018  removing 6265631 relations and 4265631 ideals in 2000000 cliques
  213. Sat Dec 22 12:41:02 2018  commencing in-memory singleton removal
  214. Sat Dec 22 12:41:08 2018  begin with 87039324 relations and 71411775 unique ideals
  215. Sat Dec 22 12:41:51 2018  reduce to 86758342 relations and 66859520 ideals in 7 passes
  216. Sat Dec 22 12:41:51 2018  max relations containing the same ideal: 169
  217. Sat Dec 22 12:42:24 2018  removing 6086253 relations and 4086253 ideals in 2000000 cliques
  218. Sat Dec 22 12:42:26 2018  commencing in-memory singleton removal
  219. Sat Dec 22 12:42:31 2018  begin with 80672089 relations and 66859520 unique ideals
  220. Sat Dec 22 12:43:12 2018  reduce to 80395401 relations and 62490885 ideals in 7 passes
  221. Sat Dec 22 12:43:12 2018  max relations containing the same ideal: 160
  222. Sat Dec 22 12:43:42 2018  removing 5954203 relations and 3954203 ideals in 2000000 cliques
  223. Sat Dec 22 12:43:44 2018  commencing in-memory singleton removal
  224. Sat Dec 22 12:43:49 2018  begin with 74441198 relations and 62490885 unique ideals
  225. Sat Dec 22 12:44:21 2018  reduce to 74165796 relations and 58255101 ideals in 6 passes
  226. Sat Dec 22 12:44:21 2018  max relations containing the same ideal: 151
  227. Sat Dec 22 12:44:49 2018  removing 5848447 relations and 3848447 ideals in 2000000 cliques
  228. Sat Dec 22 12:44:51 2018  commencing in-memory singleton removal
  229. Sat Dec 22 12:44:55 2018  begin with 68317349 relations and 58255101 unique ideals
  230. Sat Dec 22 12:45:24 2018  reduce to 68041121 relations and 54123780 ideals in 6 passes
  231. Sat Dec 22 12:45:24 2018  max relations containing the same ideal: 143
  232. Sat Dec 22 12:45:50 2018  removing 5758324 relations and 3758324 ideals in 2000000 cliques
  233. Sat Dec 22 12:45:52 2018  commencing in-memory singleton removal
  234. Sat Dec 22 12:45:56 2018  begin with 62282797 relations and 54123780 unique ideals
  235. Sat Dec 22 12:46:22 2018  reduce to 61998701 relations and 50074026 ideals in 6 passes
  236. Sat Dec 22 12:46:22 2018  max relations containing the same ideal: 136
  237. Sat Dec 22 12:46:45 2018  removing 5682231 relations and 3682231 ideals in 2000000 cliques
  238. Sat Dec 22 12:46:47 2018  commencing in-memory singleton removal
  239. Sat Dec 22 12:46:50 2018  begin with 56316470 relations and 50074026 unique ideals
  240. Sat Dec 22 12:47:14 2018  reduce to 56018570 relations and 46085437 ideals in 6 passes
  241. Sat Dec 22 12:47:14 2018  max relations containing the same ideal: 124
  242. Sat Dec 22 12:47:35 2018  removing 5624667 relations and 3624667 ideals in 2000000 cliques
  243. Sat Dec 22 12:47:37 2018  commencing in-memory singleton removal
  244. Sat Dec 22 12:47:40 2018  begin with 50393903 relations and 46085437 unique ideals
  245. Sat Dec 22 12:48:05 2018  reduce to 50077671 relations and 42134872 ideals in 7 passes
  246. Sat Dec 22 12:48:05 2018  max relations containing the same ideal: 116
  247. Sat Dec 22 12:48:24 2018  removing 5574503 relations and 3574503 ideals in 2000000 cliques
  248. Sat Dec 22 12:48:26 2018  commencing in-memory singleton removal
  249. Sat Dec 22 12:48:28 2018  begin with 44503168 relations and 42134872 unique ideals
  250. Sat Dec 22 12:48:50 2018  reduce to 44154186 relations and 38199453 ideals in 7 passes
  251. Sat Dec 22 12:48:50 2018  max relations containing the same ideal: 107
  252. Sat Dec 22 12:49:07 2018  removing 5549192 relations and 3549192 ideals in 2000000 cliques
  253. Sat Dec 22 12:49:08 2018  commencing in-memory singleton removal
  254. Sat Dec 22 12:49:11 2018  begin with 38604994 relations and 38199453 unique ideals
  255. Sat Dec 22 12:49:29 2018  reduce to 38206467 relations and 34236262 ideals in 7 passes
  256. Sat Dec 22 12:49:29 2018  max relations containing the same ideal: 99
  257. Sat Dec 22 12:49:43 2018  removing 5549996 relations and 3549996 ideals in 2000000 cliques
  258. Sat Dec 22 12:49:45 2018  commencing in-memory singleton removal
  259. Sat Dec 22 12:49:47 2018  begin with 32656471 relations and 34236262 unique ideals
  260. Sat Dec 22 12:50:02 2018  reduce to 32172933 relations and 30181435 ideals in 7 passes
  261. Sat Dec 22 12:50:02 2018  max relations containing the same ideal: 86
  262. Sat Dec 22 12:50:14 2018  removing 3758191 relations and 2518846 ideals in 1239345 cliques
  263. Sat Dec 22 12:50:16 2018  commencing in-memory singleton removal
  264. Sat Dec 22 12:50:17 2018  begin with 28414742 relations and 30181435 unique ideals
  265. Sat Dec 22 12:50:31 2018  reduce to 28100355 relations and 27337373 ideals in 7 passes
  266. Sat Dec 22 12:50:31 2018  max relations containing the same ideal: 78
  267. Sat Dec 22 12:50:41 2018  removing 66411 relations and 55582 ideals in 10829 cliques
  268. Sat Dec 22 12:50:42 2018  commencing in-memory singleton removal
  269. Sat Dec 22 12:50:43 2018  begin with 28033944 relations and 27337373 unique ideals
  270. Sat Dec 22 12:50:49 2018  reduce to 28033848 relations and 27281695 ideals in 3 passes
  271. Sat Dec 22 12:50:49 2018  max relations containing the same ideal: 78
  272. Sat Dec 22 12:50:53 2018  relations with 0 large ideals: 49285
  273. Sat Dec 22 12:50:53 2018  relations with 1 large ideals: 10583
  274. Sat Dec 22 12:50:53 2018  relations with 2 large ideals: 130979
  275. Sat Dec 22 12:50:53 2018  relations with 3 large ideals: 834652
  276. Sat Dec 22 12:50:53 2018  relations with 4 large ideals: 2920294
  277. Sat Dec 22 12:50:53 2018  relations with 5 large ideals: 6878304
  278. Sat Dec 22 12:50:53 2018  relations with 6 large ideals: 7354231
  279. Sat Dec 22 12:50:53 2018  relations with 7+ large ideals: 9855520
  280. Sat Dec 22 12:50:53 2018  commencing 2-way merge
  281. Sat Dec 22 12:51:07 2018  reduce to 19708380 relation sets and 18956227 unique ideals
  282. Sat Dec 22 12:51:07 2018  commencing full merge
  283. Sat Dec 22 12:57:51 2018  memory use: 2348.6 MB
  284. Sat Dec 22 12:57:55 2018  found 8637181 cycles, need 8630427
  285. Sat Dec 22 12:57:55 2018  weight of 8630427 cycles is about 1036191501 (120.06/cycle)
  286. Sat Dec 22 12:57:55 2018  distribution of cycle lengths:
  287. Sat Dec 22 12:57:55 2018  1 relations: 219176
  288. Sat Dec 22 12:57:55 2018  2 relations: 370491
  289. Sat Dec 22 12:57:55 2018  3 relations: 500449
  290. Sat Dec 22 12:57:55 2018  4 relations: 567357
  291. Sat Dec 22 12:57:55 2018  5 relations: 608039
  292. Sat Dec 22 12:57:55 2018  6 relations: 629385
  293. Sat Dec 22 12:57:55 2018  7 relations: 630680
  294. Sat Dec 22 12:57:55 2018  8 relations: 617739
  295. Sat Dec 22 12:57:55 2018  9 relations: 588880
  296. Sat Dec 22 12:57:55 2018  10+ relations: 3898231
  297. Sat Dec 22 12:57:55 2018  heaviest cycle: 28 relations
  298. Sat Dec 22 12:57:58 2018  commencing cycle optimization
  299. Sat Dec 22 12:58:18 2018  start with 83530891 relations
  300. Sat Dec 22 13:02:09 2018  pruned 4796992 relations
  301. Sat Dec 22 13:02:09 2018  memory use: 2028.7 MB
  302. Sat Dec 22 13:02:09 2018  distribution of cycle lengths:
  303. Sat Dec 22 13:02:09 2018  1 relations: 219176
  304. Sat Dec 22 13:02:09 2018  2 relations: 381139
  305. Sat Dec 22 13:02:09 2018  3 relations: 524792
  306. Sat Dec 22 13:02:09 2018  4 relations: 596639
  307. Sat Dec 22 13:02:09 2018  5 relations: 648163
  308. Sat Dec 22 13:02:09 2018  6 relations: 671120
  309. Sat Dec 22 13:02:09 2018  7 relations: 677022
  310. Sat Dec 22 13:02:09 2018  8 relations: 658892
  311. Sat Dec 22 13:02:09 2018  9 relations: 628451
  312. Sat Dec 22 13:02:09 2018  10+ relations: 3625033
  313. Sat Dec 22 13:02:09 2018  heaviest cycle: 28 relations
  314. Sat Dec 22 13:02:28 2018  RelProcTime: 5401
  315. Sat Dec 22 13:02:28 2018  
  316. Sat Dec 22 13:02:28 2018  commencing linear algebra
  317. Sat Dec 22 13:02:29 2018  read 8630427 cycles
  318. Sat Dec 22 13:02:50 2018  cycles contain 27692942 unique relations
  319. Sat Dec 22 13:06:34 2018  read 27692942 relations
  320. Sat Dec 22 13:07:31 2018  using 20 quadratic characters above 4294917295
  321. Sat Dec 22 13:09:07 2018  building initial matrix
  322. Sat Dec 22 13:13:33 2018  memory use: 3480.3 MB
  323. Sat Dec 22 13:13:39 2018  read 8630427 cycles
  324. Sat Dec 22 13:13:40 2018  matrix is 8630250 x 8630427 (4022.7 MB) with weight 1154866325 (133.81/col)
  325. Sat Dec 22 13:13:40 2018  sparse part has weight 959589898 (111.19/col)
  326. Sat Dec 22 13:15:12 2018  filtering completed in 2 passes
  327. Sat Dec 22 13:15:13 2018  matrix is 8630201 x 8630378 (4022.7 MB) with weight 1154864893 (133.81/col)
  328. Sat Dec 22 13:15:13 2018  sparse part has weight 959589584 (111.19/col)
  329. Sat Dec 22 13:15:41 2018  matrix starts at (0, 0)
  330. Sat Dec 22 13:15:42 2018  matrix is 8630201 x 8630378 (4022.7 MB) with weight 1154864893 (133.81/col)
  331. Sat Dec 22 13:15:42 2018  sparse part has weight 959589584 (111.19/col)
  332. Sat Dec 22 13:15:42 2018  saving the first 48 matrix rows for later
  333. Sat Dec 22 13:15:43 2018  matrix includes 64 packed rows
  334. Sat Dec 22 13:15:44 2018  matrix is 8630153 x 8630378 (3853.9 MB) with weight 991356804 (114.87/col)
  335. Sat Dec 22 13:15:44 2018  sparse part has weight 923974545 (107.06/col)
  336. Sat Dec 22 13:15:44 2018  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  337. Sat Dec 22 13:16:24 2018  commencing Lanczos iteration (8 threads)
  338. Sat Dec 22 13:16:24 2018  memory use: 3276.9 MB
  339. Sat Dec 22 13:16:41 2018  linear algebra at 0.0%, ETA 25h16m
  340. Sat Dec 22 13:16:46 2018  checkpointing every 350000 dimensions
  341. Sun Dec 23 13:49:43 2018  lanczos halted after 136478 iterations (dim = 8630151)
  342. Sun Dec 23 13:49:52 2018  recovered 36 nontrivial dependencies
  343. Sun Dec 23 13:49:53 2018  BLanczosTime: 89245
  344. Sun Dec 23 13:49:53 2018  
  345. Sun Dec 23 13:49:53 2018  commencing square root phase
  346. Sun Dec 23 13:49:54 2018  handling dependencies 1 to 64
  347. Sun Dec 23 13:49:54 2018  reading relations for dependency 1
  348. Sun Dec 23 13:49:56 2018  read 4315538 cycles
  349. Sun Dec 23 13:50:04 2018  cycles contain 13847558 unique relations
  350. Sun Dec 23 13:52:59 2018  read 13847558 relations
  351. Sun Dec 23 13:53:51 2018  multiplying 13847558 relations
  352. Sun Dec 23 13:57:26 2018  multiply complete, coefficients have about 356.01 million bits
  353. Sun Dec 23 13:57:27 2018  initial square root is modulo 2443657
  354. Sun Dec 23 14:01:13 2018  sqrtTime: 680
  355. Sun Dec 23 14:01:13 2018  p72 factor: 690629457821211010148478091281171568574153641921403728256716354560258211
  356. Sun Dec 23 14:01:13 2018  p110 factor: 27797695968395852814856862837962781204228670030232901164445542668785977564343687093904281968285502033531146891
  357. Sun Dec 23 14:01:13 2018  elapsed time 26:28:47
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