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307^109-1 linear algebra log

fivemack Sep 8th, 2019 84 Never
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  1. Wed Aug 28 12:03:22 2019  
  2. Wed Aug 28 12:03:22 2019  
  3. Wed Aug 28 12:03:22 2019  Msieve v. 1.53 (SVN 993)
  4. Wed Aug 28 12:03:22 2019  random seeds: d60142e2 332cb2f4
  5. Wed Aug 28 12:03:22 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  6. Wed Aug 28 12:03:24 2019  no P-1/P+1/ECM available, skipping
  7. Wed Aug 28 12:03:24 2019  commencing number field sieve (180-digit input)
  8. Wed Aug 28 12:03:24 2019  R0: -51482716348094461165175706033366334
  9. Wed Aug 28 12:03:24 2019  R1: 119221644080049479
  10. Wed Aug 28 12:03:24 2019  A0: 38646770029987535912516266391431194355905315
  11. Wed Aug 28 12:03:24 2019  A1: 242833785516590445947812024793300718
  12. Wed Aug 28 12:03:24 2019  A2: -589405154582811895754965332941
  13. Wed Aug 28 12:03:24 2019  A3: 19394102442721694323918
  14. Wed Aug 28 12:03:24 2019  A4: 368931528779254
  15. Wed Aug 28 12:03:24 2019  A5: 606480
  16. Wed Aug 28 12:03:24 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  17. Wed Aug 28 12:03:24 2019  
  18. Wed Aug 28 12:03:24 2019  commencing relation filtering
  19. Wed Aug 28 12:03:24 2019  setting target matrix density to 70.0
  20. Wed Aug 28 12:03:24 2019  estimated available RAM is 95375.2 MB
  21. Wed Aug 28 12:03:24 2019  commencing duplicate removal, pass 1
  22.   1 errors
  23. Wed Aug 28 13:24:53 2019  added 122052 free relations
  24. Wed Aug 28 13:24:53 2019  commencing duplicate removal, pass 2
  25. Wed Aug 28 13:27:50 2019  found 29 duplicates and 314053201 unique relations
  26. Wed Aug 28 13:27:50 2019  memory use: 1257.5 MB
  27. Wed Aug 28 13:27:50 2019  reading ideals above 720000
  28. Wed Aug 28 13:27:50 2019  commencing singleton removal, initial pass
  29. Wed Aug 28 15:01:43 2019  memory use: 6024.0 MB
  30. Wed Aug 28 15:01:44 2019  reading all ideals from disk
  31. Wed Aug 28 15:01:58 2019  memory use: 12775.9 MB
  32. Wed Aug 28 15:03:11 2019  keeping 324715409 ideals with weight <= 200, target excess is 1482069
  33. Wed Aug 28 15:04:42 2019  commencing in-memory singleton removal
  34. Wed Aug 28 15:05:40 2019  begin with 314053201 relations and 324715409 unique ideals
  35. Wed Aug 28 15:20:03 2019  reduce to 162937239 relations and 154017924 ideals in 21 passes
  36. Wed Aug 28 15:20:03 2019  max relations containing the same ideal: 138
  37. Wed Aug 28 15:22:51 2019  removing 10882758 relations and 9882758 ideals in 1000000 cliques
  38. Wed Aug 28 15:22:58 2019  commencing in-memory singleton removal
  39. Wed Aug 28 15:23:22 2019  begin with 152054481 relations and 154017924 unique ideals
  40. Wed Aug 28 15:31:01 2019  reduce to 151355758 relations and 143429508 ideals in 14 passes
  41. Wed Aug 28 15:31:01 2019  max relations containing the same ideal: 134
  42. Wed Aug 28 15:33:33 2019  removing 8039388 relations and 7039388 ideals in 1000000 cliques
  43. Wed Aug 28 15:33:39 2019  commencing in-memory singleton removal
  44. Wed Aug 28 15:34:02 2019  begin with 143316370 relations and 143429508 unique ideals
  45. Wed Aug 28 15:38:59 2019  reduce to 142896621 relations and 135967025 ideals in 9 passes
  46. Wed Aug 28 15:38:59 2019  max relations containing the same ideal: 130
  47. Wed Aug 28 15:41:38 2019  removing 7153508 relations and 6153508 ideals in 1000000 cliques
  48. Wed Aug 28 15:41:43 2019  commencing in-memory singleton removal
  49. Wed Aug 28 15:42:04 2019  begin with 135743113 relations and 135967025 unique ideals
  50. Wed Aug 28 15:46:39 2019  reduce to 135390800 relations and 129458435 ideals in 9 passes
  51. Wed Aug 28 15:46:39 2019  max relations containing the same ideal: 122
  52. Wed Aug 28 15:48:59 2019  removing 6685479 relations and 5685479 ideals in 1000000 cliques
  53. Wed Aug 28 15:49:04 2019  commencing in-memory singleton removal
  54. Wed Aug 28 15:49:25 2019  begin with 128705321 relations and 129458435 unique ideals
  55. Wed Aug 28 15:54:37 2019  reduce to 128378735 relations and 123443847 ideals in 11 passes
  56. Wed Aug 28 15:54:37 2019  max relations containing the same ideal: 118
  57. Wed Aug 28 15:56:59 2019  removing 6389061 relations and 5389061 ideals in 1000000 cliques
  58. Wed Aug 28 15:57:05 2019  commencing in-memory singleton removal
  59. Wed Aug 28 15:57:23 2019  begin with 121989674 relations and 123443847 unique ideals
  60. Wed Aug 28 16:01:30 2019  reduce to 121677443 relations and 117740093 ideals in 9 passes
  61. Wed Aug 28 16:01:30 2019  max relations containing the same ideal: 114
  62. Wed Aug 28 16:03:37 2019  removing 6195450 relations and 5195450 ideals in 1000000 cliques
  63. Wed Aug 28 16:03:43 2019  commencing in-memory singleton removal
  64. Wed Aug 28 16:04:01 2019  begin with 115481993 relations and 117740093 unique ideals
  65. Wed Aug 28 16:07:35 2019  reduce to 115172893 relations and 112233033 ideals in 9 passes
  66. Wed Aug 28 16:07:35 2019  max relations containing the same ideal: 110
  67. Wed Aug 28 16:09:36 2019  removing 6065411 relations and 5065411 ideals in 1000000 cliques
  68. Wed Aug 28 16:09:42 2019  commencing in-memory singleton removal
  69. Wed Aug 28 16:09:59 2019  begin with 109107482 relations and 112233033 unique ideals
  70. Wed Aug 28 16:13:33 2019  reduce to 108792469 relations and 106850007 ideals in 9 passes
  71. Wed Aug 28 16:13:33 2019  max relations containing the same ideal: 109
  72. Wed Aug 28 16:15:28 2019  removing 1757277 relations and 1534016 ideals in 223261 cliques
  73. Wed Aug 28 16:15:31 2019  commencing in-memory singleton removal
  74. Wed Aug 28 16:15:47 2019  begin with 107035192 relations and 106850007 unique ideals
  75. Wed Aug 28 16:18:24 2019  reduce to 107010112 relations and 105290852 ideals in 7 passes
  76. Wed Aug 28 16:18:24 2019  max relations containing the same ideal: 108
  77. Wed Aug 28 16:19:08 2019  relations with 0 large ideals: 4961
  78. Wed Aug 28 16:19:08 2019  relations with 1 large ideals: 32181
  79. Wed Aug 28 16:19:08 2019  relations with 2 large ideals: 461458
  80. Wed Aug 28 16:19:08 2019  relations with 3 large ideals: 2953666
  81. Wed Aug 28 16:19:08 2019  relations with 4 large ideals: 10389491
  82. Wed Aug 28 16:19:08 2019  relations with 5 large ideals: 22119781
  83. Wed Aug 28 16:19:08 2019  relations with 6 large ideals: 29579434
  84. Wed Aug 28 16:19:08 2019  relations with 7+ large ideals: 41469140
  85. Wed Aug 28 16:19:08 2019  commencing 2-way merge
  86. Wed Aug 28 16:21:42 2019  reduce to 65465024 relation sets and 63745764 unique ideals
  87. Wed Aug 28 16:21:42 2019  commencing full merge
  88. Wed Aug 28 16:52:21 2019  memory use: 6946.6 MB
  89. Wed Aug 28 16:52:39 2019  found 34664708 cycles, need 34429964
  90. Wed Aug 28 16:53:05 2019  weight of 34429964 cycles is about 2410119182 (70.00/cycle)
  91. Wed Aug 28 16:53:05 2019  distribution of cycle lengths:
  92. Wed Aug 28 16:53:05 2019  1 relations: 5561519
  93. Wed Aug 28 16:53:05 2019  2 relations: 4725076
  94. Wed Aug 28 16:53:05 2019  3 relations: 4256588
  95. Wed Aug 28 16:53:05 2019  4 relations: 3673839
  96. Wed Aug 28 16:53:05 2019  5 relations: 3099537
  97. Wed Aug 28 16:53:05 2019  6 relations: 2674112
  98. Wed Aug 28 16:53:05 2019  7 relations: 2240798
  99. Wed Aug 28 16:53:05 2019  8 relations: 1860138
  100. Wed Aug 28 16:53:05 2019  9 relations: 1540055
  101. Wed Aug 28 16:53:05 2019  10+ relations: 4798302
  102. Wed Aug 28 16:53:05 2019  heaviest cycle: 20 relations
  103. Wed Aug 28 16:53:20 2019  commencing cycle optimization
  104. Wed Aug 28 16:55:19 2019  start with 176560903 relations
  105. Wed Aug 28 17:02:21 2019  pruned 3379191 relations
  106. Wed Aug 28 17:02:26 2019  memory use: 6135.8 MB
  107. Wed Aug 28 17:02:26 2019  distribution of cycle lengths:
  108. Wed Aug 28 17:02:26 2019  1 relations: 5561519
  109. Wed Aug 28 17:02:26 2019  2 relations: 4825523
  110. Wed Aug 28 17:02:26 2019  3 relations: 4389564
  111. Wed Aug 28 17:02:26 2019  4 relations: 3730108
  112. Wed Aug 28 17:02:26 2019  5 relations: 3145243
  113. Wed Aug 28 17:02:26 2019  6 relations: 2680010
  114. Wed Aug 28 17:02:26 2019  7 relations: 2235782
  115. Wed Aug 28 17:02:26 2019  8 relations: 1840925
  116. Wed Aug 28 17:02:26 2019  9 relations: 1519022
  117. Wed Aug 28 17:02:26 2019  10+ relations: 4502268
  118. Wed Aug 28 17:02:26 2019  heaviest cycle: 20 relations
  119. Wed Aug 28 17:03:47 2019  RelProcTime: 18023
  120. Wed Aug 28 17:04:10 2019  elapsed time 05:00:48
  121. Wed Aug 28 17:04:12 2019  
  122. Wed Aug 28 17:04:12 2019  
  123. Wed Aug 28 17:04:12 2019  Msieve v. 1.53 (SVN 993)
  124. Wed Aug 28 17:04:12 2019  random seeds: 0f4a7382 44df4649
  125. Wed Aug 28 17:04:12 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  126. Wed Aug 28 17:04:14 2019  no P-1/P+1/ECM available, skipping
  127. Wed Aug 28 17:04:14 2019  commencing number field sieve (180-digit input)
  128. Wed Aug 28 17:04:14 2019  R0: -51482716348094461165175706033366334
  129. Wed Aug 28 17:04:14 2019  R1: 119221644080049479
  130. Wed Aug 28 17:04:14 2019  A0: 38646770029987535912516266391431194355905315
  131. Wed Aug 28 17:04:14 2019  A1: 242833785516590445947812024793300718
  132. Wed Aug 28 17:04:14 2019  A2: -589405154582811895754965332941
  133. Wed Aug 28 17:04:14 2019  A3: 19394102442721694323918
  134. Wed Aug 28 17:04:14 2019  A4: 368931528779254
  135. Wed Aug 28 17:04:14 2019  A5: 606480
  136. Wed Aug 28 17:04:14 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  137. Wed Aug 28 17:04:14 2019  
  138. Wed Aug 28 17:04:14 2019  commencing relation filtering
  139. Wed Aug 28 17:04:14 2019  setting target matrix density to 134.0
  140. Wed Aug 28 17:04:14 2019  estimated available RAM is 95375.2 MB
  141. Wed Aug 28 17:04:14 2019  commencing duplicate removal, pass 1
  142.   1 errors
  143. Wed Aug 28 18:34:45 2019  commencing duplicate removal, pass 2
  144. Wed Aug 28 18:37:48 2019  found 29 duplicates and 314053201 unique relations
  145. Wed Aug 28 18:37:48 2019  memory use: 1257.5 MB
  146. Wed Aug 28 18:37:49 2019  reading ideals above 720000
  147. Wed Aug 28 18:37:49 2019  commencing singleton removal, initial pass
  148. Wed Aug 28 20:14:19 2019  memory use: 6024.0 MB
  149. Wed Aug 28 20:14:20 2019  reading all ideals from disk
  150. Wed Aug 28 20:14:31 2019  memory use: 12775.9 MB
  151. Wed Aug 28 20:16:06 2019  keeping 324715409 ideals with weight <= 200, target excess is 1482069
  152. Wed Aug 28 20:18:04 2019  commencing in-memory singleton removal
  153. Wed Aug 28 20:19:04 2019  begin with 314053201 relations and 324715409 unique ideals
  154. Wed Aug 28 20:33:31 2019  reduce to 162937239 relations and 154017924 ideals in 21 passes
  155. Wed Aug 28 20:33:31 2019  max relations containing the same ideal: 138
  156. Wed Aug 28 20:36:18 2019  removing 10882758 relations and 9882758 ideals in 1000000 cliques
  157. Wed Aug 28 20:36:24 2019  commencing in-memory singleton removal
  158. Wed Aug 28 20:36:47 2019  begin with 152054481 relations and 154017924 unique ideals
  159. Wed Aug 28 20:44:25 2019  reduce to 151355758 relations and 143429508 ideals in 14 passes
  160. Wed Aug 28 20:44:25 2019  max relations containing the same ideal: 134
  161. Wed Aug 28 20:46:53 2019  removing 8039388 relations and 7039388 ideals in 1000000 cliques
  162. Wed Aug 28 20:47:00 2019  commencing in-memory singleton removal
  163. Wed Aug 28 20:47:23 2019  begin with 143316370 relations and 143429508 unique ideals
  164. Wed Aug 28 20:51:53 2019  reduce to 142896621 relations and 135967025 ideals in 9 passes
  165. Wed Aug 28 20:51:53 2019  max relations containing the same ideal: 130
  166. Wed Aug 28 20:54:13 2019  removing 7153508 relations and 6153508 ideals in 1000000 cliques
  167. Wed Aug 28 20:54:18 2019  commencing in-memory singleton removal
  168. Wed Aug 28 20:54:38 2019  begin with 135743113 relations and 135967025 unique ideals
  169. Wed Aug 28 20:58:49 2019  reduce to 135390800 relations and 129458435 ideals in 9 passes
  170. Wed Aug 28 20:58:49 2019  max relations containing the same ideal: 122
  171. Wed Aug 28 21:00:58 2019  removing 6685479 relations and 5685479 ideals in 1000000 cliques
  172. Wed Aug 28 21:01:03 2019  commencing in-memory singleton removal
  173. Wed Aug 28 21:01:22 2019  begin with 128705321 relations and 129458435 unique ideals
  174. Wed Aug 28 21:06:06 2019  reduce to 128378735 relations and 123443847 ideals in 11 passes
  175. Wed Aug 28 21:06:06 2019  max relations containing the same ideal: 118
  176. Wed Aug 28 21:08:10 2019  removing 6389061 relations and 5389061 ideals in 1000000 cliques
  177. Wed Aug 28 21:08:15 2019  commencing in-memory singleton removal
  178. Wed Aug 28 21:08:32 2019  begin with 121989674 relations and 123443847 unique ideals
  179. Wed Aug 28 21:12:11 2019  reduce to 121677443 relations and 117740093 ideals in 9 passes
  180. Wed Aug 28 21:12:11 2019  max relations containing the same ideal: 114
  181. Wed Aug 28 21:14:08 2019  removing 6195450 relations and 5195450 ideals in 1000000 cliques
  182. Wed Aug 28 21:14:12 2019  commencing in-memory singleton removal
  183. Wed Aug 28 21:14:28 2019  begin with 115481993 relations and 117740093 unique ideals
  184. Wed Aug 28 21:17:54 2019  reduce to 115172893 relations and 112233033 ideals in 9 passes
  185. Wed Aug 28 21:17:54 2019  max relations containing the same ideal: 110
  186. Wed Aug 28 21:19:46 2019  removing 6065411 relations and 5065411 ideals in 1000000 cliques
  187. Wed Aug 28 21:19:50 2019  commencing in-memory singleton removal
  188. Wed Aug 28 21:20:06 2019  begin with 109107482 relations and 112233033 unique ideals
  189. Wed Aug 28 21:23:13 2019  reduce to 108792469 relations and 106850007 ideals in 9 passes
  190. Wed Aug 28 21:23:13 2019  max relations containing the same ideal: 109
  191. Wed Aug 28 21:25:06 2019  removing 1757277 relations and 1534016 ideals in 223261 cliques
  192. Wed Aug 28 21:25:09 2019  commencing in-memory singleton removal
  193. Wed Aug 28 21:25:25 2019  begin with 107035192 relations and 106850007 unique ideals
  194. Wed Aug 28 21:27:54 2019  reduce to 107010112 relations and 105290852 ideals in 7 passes
  195. Wed Aug 28 21:27:54 2019  max relations containing the same ideal: 108
  196. Wed Aug 28 21:28:32 2019  relations with 0 large ideals: 4961
  197. Wed Aug 28 21:28:32 2019  relations with 1 large ideals: 32181
  198. Wed Aug 28 21:28:32 2019  relations with 2 large ideals: 461458
  199. Wed Aug 28 21:28:32 2019  relations with 3 large ideals: 2953666
  200. Wed Aug 28 21:28:32 2019  relations with 4 large ideals: 10389491
  201. Wed Aug 28 21:28:32 2019  relations with 5 large ideals: 22119781
  202. Wed Aug 28 21:28:32 2019  relations with 6 large ideals: 29579434
  203. Wed Aug 28 21:28:32 2019  relations with 7+ large ideals: 41469140
  204. Wed Aug 28 21:28:32 2019  commencing 2-way merge
  205. Wed Aug 28 21:30:55 2019  reduce to 65465024 relation sets and 63745764 unique ideals
  206. Wed Aug 28 21:30:55 2019  commencing full merge
  207. Wed Aug 28 22:47:27 2019  memory use: 3004.2 MB
  208. Wed Aug 28 22:47:28 2019  found 1243887 cycles, need 13934269
  209. Wed Aug 28 22:47:28 2019  too few cycles, matrix probably cannot build
  210. Wed Aug 28 22:47:29 2019  
  211. Wed Aug 28 22:47:29 2019  
  212. Wed Aug 28 22:47:29 2019  Msieve v. 1.53 (SVN 993)
  213. Wed Aug 28 22:47:29 2019  random seeds: cc7292b9 3363a4be
  214. Wed Aug 28 22:47:29 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  215. Wed Aug 28 22:47:31 2019  no P-1/P+1/ECM available, skipping
  216. Wed Aug 28 22:47:31 2019  commencing number field sieve (180-digit input)
  217. Wed Aug 28 22:47:31 2019  R0: -51482716348094461165175706033366334
  218. Wed Aug 28 22:47:31 2019  R1: 119221644080049479
  219. Wed Aug 28 22:47:31 2019  A0: 38646770029987535912516266391431194355905315
  220. Wed Aug 28 22:47:31 2019  A1: 242833785516590445947812024793300718
  221. Wed Aug 28 22:47:31 2019  A2: -589405154582811895754965332941
  222. Wed Aug 28 22:47:31 2019  A3: 19394102442721694323918
  223. Wed Aug 28 22:47:31 2019  A4: 368931528779254
  224. Wed Aug 28 22:47:31 2019  A5: 606480
  225. Wed Aug 28 22:47:31 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  226. Wed Aug 28 22:47:31 2019  
  227. Wed Aug 28 22:47:31 2019  commencing relation filtering
  228. Wed Aug 28 22:47:31 2019  setting target matrix density to 102.0
  229. Wed Aug 28 22:47:31 2019  estimated available RAM is 95375.2 MB
  230. Wed Aug 28 22:47:31 2019  commencing duplicate removal, pass 1
  231. Wed Aug 28 23:44:52 2019  found 10253622 hash collisions in 216910357 relations
  232. Wed Aug 28 23:45:47 2019  added 122052 free relations
  233. Wed Aug 28 23:45:47 2019  commencing duplicate removal, pass 2
  234. Wed Aug 28 23:47:52 2019  found 12 duplicates and 217032397 unique relations
  235. Wed Aug 28 23:47:52 2019  memory use: 756.8 MB
  236. Wed Aug 28 23:47:52 2019  reading ideals above 720000
  237. Wed Aug 28 23:47:52 2019  commencing singleton removal, initial pass
  238. Thu Aug 29 00:58:50 2019  memory use: 5512.0 MB
  239. Thu Aug 29 00:58:51 2019  reading all ideals from disk
  240. Thu Aug 29 00:58:59 2019  memory use: 8818.9 MB
  241. Thu Aug 29 01:00:01 2019  keeping 211238463 ideals with weight <= 200, target excess is 1036841
  242. Thu Aug 29 01:01:18 2019  commencing in-memory singleton removal
  243. Thu Aug 29 01:02:00 2019  begin with 217032397 relations and 211238463 unique ideals
  244. Thu Aug 29 01:16:22 2019  reduce to 162476029 relations and 154147535 ideals in 20 passes
  245. Thu Aug 29 01:16:22 2019  max relations containing the same ideal: 176
  246. Thu Aug 29 01:19:29 2019  removing 10910304 relations and 9910304 ideals in 1000000 cliques
  247. Thu Aug 29 01:19:36 2019  commencing in-memory singleton removal
  248. Thu Aug 29 01:20:00 2019  begin with 151565725 relations and 154147535 unique ideals
  249. Thu Aug 29 01:27:42 2019  reduce to 150861328 relations and 143525871 ideals in 14 passes
  250. Thu Aug 29 01:27:42 2019  max relations containing the same ideal: 170
  251. Thu Aug 29 01:30:27 2019  removing 8060400 relations and 7060400 ideals in 1000000 cliques
  252. Thu Aug 29 01:30:33 2019  commencing in-memory singleton removal
  253. Thu Aug 29 01:30:54 2019  begin with 142800928 relations and 143525871 unique ideals
  254. Thu Aug 29 01:35:25 2019  reduce to 142377989 relations and 136039150 ideals in 9 passes
  255. Thu Aug 29 01:35:25 2019  max relations containing the same ideal: 163
  256. Thu Aug 29 01:38:00 2019  removing 7171585 relations and 6171585 ideals in 1000000 cliques
  257. Thu Aug 29 01:38:06 2019  commencing in-memory singleton removal
  258. Thu Aug 29 01:38:26 2019  begin with 135206404 relations and 136039150 unique ideals
  259. Thu Aug 29 01:42:47 2019  reduce to 134851060 relations and 129509461 ideals in 9 passes
  260. Thu Aug 29 01:42:47 2019  max relations containing the same ideal: 156
  261. Thu Aug 29 01:45:14 2019  removing 6702951 relations and 5702951 ideals in 1000000 cliques
  262. Thu Aug 29 01:45:19 2019  commencing in-memory singleton removal
  263. Thu Aug 29 01:45:38 2019  begin with 128148109 relations and 129509461 unique ideals
  264. Thu Aug 29 01:50:01 2019  reduce to 127818448 relations and 123474293 ideals in 10 passes
  265. Thu Aug 29 01:50:01 2019  max relations containing the same ideal: 150
  266. Thu Aug 29 01:52:16 2019  removing 6407065 relations and 5407065 ideals in 1000000 cliques
  267. Thu Aug 29 01:52:21 2019  commencing in-memory singleton removal
  268. Thu Aug 29 01:52:40 2019  begin with 121411383 relations and 123474293 unique ideals
  269. Thu Aug 29 01:56:29 2019  reduce to 121095914 relations and 117749241 ideals in 9 passes
  270. Thu Aug 29 01:56:29 2019  max relations containing the same ideal: 144
  271. Thu Aug 29 01:58:31 2019  removing 6211283 relations and 5211283 ideals in 1000000 cliques
  272. Thu Aug 29 01:58:35 2019  commencing in-memory singleton removal
  273. Thu Aug 29 01:58:53 2019  begin with 114884631 relations and 117749241 unique ideals
  274. Thu Aug 29 02:02:26 2019  reduce to 114570704 relations and 112221484 ideals in 9 passes
  275. Thu Aug 29 02:02:26 2019  max relations containing the same ideal: 139
  276. Thu Aug 29 02:04:23 2019  removing 6082499 relations and 5082499 ideals in 1000000 cliques
  277. Thu Aug 29 02:04:27 2019  commencing in-memory singleton removal
  278. Thu Aug 29 02:04:43 2019  begin with 108488205 relations and 112221484 unique ideals
  279. Thu Aug 29 02:08:00 2019  reduce to 108170071 relations and 106818176 ideals in 9 passes
  280. Thu Aug 29 02:08:00 2019  max relations containing the same ideal: 133
  281. Thu Aug 29 02:09:48 2019  removing 1255299 relations and 1106140 ideals in 149159 cliques
  282. Thu Aug 29 02:09:51 2019  commencing in-memory singleton removal
  283. Thu Aug 29 02:10:07 2019  begin with 106914772 relations and 106818176 unique ideals
  284. Thu Aug 29 02:12:36 2019  reduce to 106902309 relations and 105699554 ideals in 7 passes
  285. Thu Aug 29 02:12:36 2019  max relations containing the same ideal: 131
  286. Thu Aug 29 02:13:15 2019  relations with 0 large ideals: 3578
  287. Thu Aug 29 02:13:15 2019  relations with 1 large ideals: 13113
  288. Thu Aug 29 02:13:15 2019  relations with 2 large ideals: 215510
  289. Thu Aug 29 02:13:15 2019  relations with 3 large ideals: 1642225
  290. Thu Aug 29 02:13:15 2019  relations with 4 large ideals: 6886453
  291. Thu Aug 29 02:13:15 2019  relations with 5 large ideals: 17478526
  292. Thu Aug 29 02:13:15 2019  relations with 6 large ideals: 27959213
  293. Thu Aug 29 02:13:15 2019  relations with 7+ large ideals: 52703691
  294. Thu Aug 29 02:13:15 2019  commencing 2-way merge
  295. Thu Aug 29 02:15:49 2019  reduce to 65352937 relation sets and 64150182 unique ideals
  296. Thu Aug 29 02:15:49 2019  commencing full merge
  297. Thu Aug 29 03:17:15 2019  memory use: 7274.6 MB
  298. Thu Aug 29 03:17:31 2019  found 29805525 cycles, need 29754382
  299. Thu Aug 29 03:17:53 2019  weight of 29754382 cycles is about 3034968697 (102.00/cycle)
  300. Thu Aug 29 03:17:53 2019  distribution of cycle lengths:
  301. Thu Aug 29 03:17:53 2019  1 relations: 3335695
  302. Thu Aug 29 03:17:53 2019  2 relations: 2856368
  303. Thu Aug 29 03:17:53 2019  3 relations: 2729194
  304. Thu Aug 29 03:17:53 2019  4 relations: 2450402
  305. Thu Aug 29 03:17:53 2019  5 relations: 2283355
  306. Thu Aug 29 03:17:53 2019  6 relations: 2063230
  307. Thu Aug 29 03:17:54 2019  7 relations: 1859705
  308. Thu Aug 29 03:17:54 2019  8 relations: 1642092
  309. Thu Aug 29 03:17:54 2019  9 relations: 1488724
  310. Thu Aug 29 03:17:54 2019  10+ relations: 9045617
  311. Thu Aug 29 03:17:54 2019  heaviest cycle: 28 relations
  312. Thu Aug 29 03:18:10 2019  commencing cycle optimization
  313. Thu Aug 29 03:20:27 2019  start with 221535005 relations
  314. Thu Aug 29 03:38:10 2019  pruned 6792620 relations
  315. Thu Aug 29 03:38:16 2019  memory use: 6626.1 MB
  316. Thu Aug 29 03:38:16 2019  distribution of cycle lengths:
  317. Thu Aug 29 03:38:16 2019  1 relations: 3335695
  318. Thu Aug 29 03:38:16 2019  2 relations: 2932021
  319. Thu Aug 29 03:38:16 2019  3 relations: 2835765
  320. Thu Aug 29 03:38:16 2019  4 relations: 2524304
  321. Thu Aug 29 03:38:16 2019  5 relations: 2352148
  322. Thu Aug 29 03:38:16 2019  6 relations: 2107659
  323. Thu Aug 29 03:38:16 2019  7 relations: 1893470
  324. Thu Aug 29 03:38:16 2019  8 relations: 1664619
  325. Thu Aug 29 03:38:16 2019  9 relations: 1502192
  326. Thu Aug 29 03:38:16 2019  10+ relations: 8606509
  327. Thu Aug 29 03:38:16 2019  heaviest cycle: 28 relations
  328. Thu Aug 29 03:40:00 2019  RelProcTime: 17549
  329. Thu Aug 29 03:40:21 2019  elapsed time 04:52:52
  330. Thu Aug 29 03:40:23 2019  
  331. Thu Aug 29 03:40:23 2019  
  332. Thu Aug 29 03:40:23 2019  Msieve v. 1.53 (SVN 993)
  333. Thu Aug 29 03:40:23 2019  random seeds: 199f5048 0ebad58a
  334. Thu Aug 29 03:40:23 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  335. Thu Aug 29 03:40:25 2019  no P-1/P+1/ECM available, skipping
  336. Thu Aug 29 03:40:25 2019  commencing number field sieve (180-digit input)
  337. Thu Aug 29 03:40:25 2019  R0: -51482716348094461165175706033366334
  338. Thu Aug 29 03:40:25 2019  R1: 119221644080049479
  339. Thu Aug 29 03:40:25 2019  A0: 38646770029987535912516266391431194355905315
  340. Thu Aug 29 03:40:25 2019  A1: 242833785516590445947812024793300718
  341. Thu Aug 29 03:40:25 2019  A2: -589405154582811895754965332941
  342. Thu Aug 29 03:40:25 2019  A3: 19394102442721694323918
  343. Thu Aug 29 03:40:25 2019  A4: 368931528779254
  344. Thu Aug 29 03:40:25 2019  A5: 606480
  345. Thu Aug 29 03:40:25 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  346. Thu Aug 29 03:40:25 2019  
  347. Thu Aug 29 03:40:25 2019  commencing relation filtering
  348. Thu Aug 29 03:40:25 2019  setting target matrix density to 118.0
  349. Thu Aug 29 03:40:25 2019  estimated available RAM is 95375.2 MB
  350. Thu Aug 29 03:40:25 2019  commencing duplicate removal, pass 1
  351. Thu Aug 29 04:39:03 2019  found 10264773 hash collisions in 217032409 relations
  352. Thu Aug 29 04:40:01 2019  commencing duplicate removal, pass 2
  353. Thu Aug 29 04:41:54 2019  found 12 duplicates and 217032397 unique relations
  354. Thu Aug 29 04:41:54 2019  memory use: 756.8 MB
  355. Thu Aug 29 04:41:54 2019  reading ideals above 720000
  356. Thu Aug 29 04:41:54 2019  commencing singleton removal, initial pass
  357. Thu Aug 29 05:45:28 2019  memory use: 5512.0 MB
  358. Thu Aug 29 05:45:28 2019  reading all ideals from disk
  359. Thu Aug 29 05:45:37 2019  memory use: 8818.9 MB
  360. Thu Aug 29 05:46:51 2019  keeping 211238463 ideals with weight <= 200, target excess is 1036841
  361. Thu Aug 29 05:48:24 2019  commencing in-memory singleton removal
  362. Thu Aug 29 05:49:11 2019  begin with 217032397 relations and 211238463 unique ideals
  363. Thu Aug 29 06:06:30 2019  reduce to 162476029 relations and 154147535 ideals in 20 passes
  364. Thu Aug 29 06:06:30 2019  max relations containing the same ideal: 176
  365. Thu Aug 29 06:10:02 2019  removing 10910304 relations and 9910304 ideals in 1000000 cliques
  366. Thu Aug 29 06:10:10 2019  commencing in-memory singleton removal
  367. Thu Aug 29 06:10:41 2019  begin with 151565725 relations and 154147535 unique ideals
  368. Thu Aug 29 06:22:12 2019  reduce to 150861328 relations and 143525871 ideals in 14 passes
  369. Thu Aug 29 06:22:12 2019  max relations containing the same ideal: 170
  370. Thu Aug 29 06:25:40 2019  removing 8060400 relations and 7060400 ideals in 1000000 cliques
  371. Thu Aug 29 06:25:46 2019  commencing in-memory singleton removal
  372. Thu Aug 29 06:26:16 2019  begin with 142800928 relations and 143525871 unique ideals
  373. Thu Aug 29 06:33:29 2019  reduce to 142377989 relations and 136039150 ideals in 9 passes
  374. Thu Aug 29 06:33:29 2019  max relations containing the same ideal: 163
  375. Thu Aug 29 06:36:47 2019  removing 7171585 relations and 6171585 ideals in 1000000 cliques
  376. Thu Aug 29 06:36:53 2019  commencing in-memory singleton removal
  377. Thu Aug 29 06:37:24 2019  begin with 135206404 relations and 136039150 unique ideals
  378. Thu Aug 29 06:44:48 2019  reduce to 134851060 relations and 129509461 ideals in 9 passes
  379. Thu Aug 29 06:44:48 2019  max relations containing the same ideal: 156
  380. Thu Aug 29 06:48:12 2019  removing 6702951 relations and 5702951 ideals in 1000000 cliques
  381. Thu Aug 29 06:48:17 2019  commencing in-memory singleton removal
  382. Thu Aug 29 06:48:45 2019  begin with 128148109 relations and 129509461 unique ideals
  383. Thu Aug 29 06:56:07 2019  reduce to 127818448 relations and 123474293 ideals in 10 passes
  384. Thu Aug 29 06:56:07 2019  max relations containing the same ideal: 150
  385. Thu Aug 29 06:59:10 2019  removing 6407065 relations and 5407065 ideals in 1000000 cliques
  386. Thu Aug 29 06:59:15 2019  commencing in-memory singleton removal
  387. Thu Aug 29 06:59:42 2019  begin with 121411383 relations and 123474293 unique ideals
  388. Thu Aug 29 07:06:24 2019  reduce to 121095914 relations and 117749241 ideals in 9 passes
  389. Thu Aug 29 07:06:24 2019  max relations containing the same ideal: 144
  390. Thu Aug 29 07:09:26 2019  removing 6211283 relations and 5211283 ideals in 1000000 cliques
  391. Thu Aug 29 07:09:30 2019  commencing in-memory singleton removal
  392. Thu Aug 29 07:09:54 2019  begin with 114884631 relations and 117749241 unique ideals
  393. Thu Aug 29 07:15:23 2019  reduce to 114570704 relations and 112221484 ideals in 9 passes
  394. Thu Aug 29 07:15:23 2019  max relations containing the same ideal: 139
  395. Thu Aug 29 07:18:03 2019  removing 6082499 relations and 5082499 ideals in 1000000 cliques
  396. Thu Aug 29 07:18:08 2019  commencing in-memory singleton removal
  397. Thu Aug 29 07:18:29 2019  begin with 108488205 relations and 112221484 unique ideals
  398. Thu Aug 29 07:23:33 2019  reduce to 108170071 relations and 106818176 ideals in 9 passes
  399. Thu Aug 29 07:23:33 2019  max relations containing the same ideal: 133
  400. Thu Aug 29 07:25:56 2019  removing 1255299 relations and 1106140 ideals in 149159 cliques
  401. Thu Aug 29 07:26:00 2019  commencing in-memory singleton removal
  402. Thu Aug 29 07:26:23 2019  begin with 106914772 relations and 106818176 unique ideals
  403. Thu Aug 29 07:30:43 2019  reduce to 106902309 relations and 105699554 ideals in 7 passes
  404. Thu Aug 29 07:30:43 2019  max relations containing the same ideal: 131
  405. Thu Aug 29 07:31:27 2019  relations with 0 large ideals: 3578
  406. Thu Aug 29 07:31:27 2019  relations with 1 large ideals: 13113
  407. Thu Aug 29 07:31:27 2019  relations with 2 large ideals: 215510
  408. Thu Aug 29 07:31:27 2019  relations with 3 large ideals: 1642225
  409. Thu Aug 29 07:31:27 2019  relations with 4 large ideals: 6886453
  410. Thu Aug 29 07:31:27 2019  relations with 5 large ideals: 17478526
  411. Thu Aug 29 07:31:27 2019  relations with 6 large ideals: 27959213
  412. Thu Aug 29 07:31:27 2019  relations with 7+ large ideals: 52703691
  413. Thu Aug 29 07:31:27 2019  commencing 2-way merge
  414. Thu Aug 29 07:35:05 2019  reduce to 65352937 relation sets and 64150182 unique ideals
  415. Thu Aug 29 07:35:05 2019  commencing full merge
  416. Thu Aug 29 09:47:23 2019  memory use: 3003.2 MB
  417. Thu Aug 29 09:47:24 2019  found 1015587 cycles, need 13658757
  418. Thu Aug 29 09:47:24 2019  too few cycles, matrix probably cannot build
  419. Thu Aug 29 09:47:25 2019  
  420. Thu Aug 29 09:47:25 2019  
  421. Thu Aug 29 09:47:25 2019  Msieve v. 1.53 (SVN 993)
  422. Thu Aug 29 09:47:25 2019  random seeds: 2c13d5b4 5e8a7a5c
  423. Thu Aug 29 09:47:25 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  424. Thu Aug 29 09:47:27 2019  no P-1/P+1/ECM available, skipping
  425. Thu Aug 29 09:47:27 2019  commencing number field sieve (180-digit input)
  426. Thu Aug 29 09:47:27 2019  R0: -51482716348094461165175706033366334
  427. Thu Aug 29 09:47:27 2019  R1: 119221644080049479
  428. Thu Aug 29 09:47:27 2019  A0: 38646770029987535912516266391431194355905315
  429. Thu Aug 29 09:47:27 2019  A1: 242833785516590445947812024793300718
  430. Thu Aug 29 09:47:27 2019  A2: -589405154582811895754965332941
  431. Thu Aug 29 09:47:27 2019  A3: 19394102442721694323918
  432. Thu Aug 29 09:47:27 2019  A4: 368931528779254
  433. Thu Aug 29 09:47:27 2019  A5: 606480
  434. Thu Aug 29 09:47:27 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  435. Thu Aug 29 09:47:27 2019  
  436. Thu Aug 29 09:47:27 2019  commencing relation filtering
  437. Thu Aug 29 09:47:27 2019  setting target matrix density to 110.0
  438. Thu Aug 29 09:47:27 2019  estimated available RAM is 95375.2 MB
  439. Thu Aug 29 09:47:27 2019  commencing duplicate removal, pass 1
  440. Thu Aug 29 10:44:50 2019  found 10264773 hash collisions in 217032409 relations
  441. Thu Aug 29 10:45:48 2019  commencing duplicate removal, pass 2
  442. Thu Aug 29 10:47:44 2019  found 12 duplicates and 217032397 unique relations
  443. Thu Aug 29 10:47:44 2019  memory use: 756.8 MB
  444. Thu Aug 29 10:47:44 2019  reading ideals above 720000
  445. Thu Aug 29 10:47:44 2019  commencing singleton removal, initial pass
  446. Thu Aug 29 11:52:59 2019  memory use: 5512.0 MB
  447. Thu Aug 29 11:53:00 2019  reading all ideals from disk
  448. Thu Aug 29 11:53:13 2019  memory use: 8818.9 MB
  449. Thu Aug 29 11:53:59 2019  keeping 211238463 ideals with weight <= 200, target excess is 1036841
  450. Thu Aug 29 11:54:55 2019  commencing in-memory singleton removal
  451. Thu Aug 29 11:55:32 2019  begin with 217032397 relations and 211238463 unique ideals
  452. Thu Aug 29 12:08:50 2019  reduce to 162476029 relations and 154147535 ideals in 20 passes
  453. Thu Aug 29 12:08:50 2019  max relations containing the same ideal: 176
  454. Thu Aug 29 12:11:45 2019  removing 10910304 relations and 9910304 ideals in 1000000 cliques
  455. Thu Aug 29 12:11:52 2019  commencing in-memory singleton removal
  456. Thu Aug 29 12:12:17 2019  begin with 151565725 relations and 154147535 unique ideals
  457. Thu Aug 29 12:20:15 2019  reduce to 150861328 relations and 143525871 ideals in 14 passes
  458. Thu Aug 29 12:20:15 2019  max relations containing the same ideal: 170
  459. Thu Aug 29 12:22:44 2019  removing 8060400 relations and 7060400 ideals in 1000000 cliques
  460. Thu Aug 29 12:22:50 2019  commencing in-memory singleton removal
  461. Thu Aug 29 12:23:12 2019  begin with 142800928 relations and 143525871 unique ideals
  462. Thu Aug 29 12:27:59 2019  reduce to 142377989 relations and 136039150 ideals in 9 passes
  463. Thu Aug 29 12:27:59 2019  max relations containing the same ideal: 163
  464. Thu Aug 29 12:30:26 2019  removing 7171585 relations and 6171585 ideals in 1000000 cliques
  465. Thu Aug 29 12:30:32 2019  commencing in-memory singleton removal
  466. Thu Aug 29 12:30:53 2019  begin with 135206404 relations and 136039150 unique ideals
  467. Thu Aug 29 12:35:33 2019  reduce to 134851060 relations and 129509461 ideals in 9 passes
  468. Thu Aug 29 12:35:33 2019  max relations containing the same ideal: 156
  469. Thu Aug 29 12:37:49 2019  removing 6702951 relations and 5702951 ideals in 1000000 cliques
  470. Thu Aug 29 12:37:54 2019  commencing in-memory singleton removal
  471. Thu Aug 29 12:38:15 2019  begin with 128148109 relations and 129509461 unique ideals
  472. Thu Aug 29 12:42:58 2019  reduce to 127818448 relations and 123474293 ideals in 10 passes
  473. Thu Aug 29 12:42:58 2019  max relations containing the same ideal: 150
  474. Thu Aug 29 12:45:12 2019  removing 6407065 relations and 5407065 ideals in 1000000 cliques
  475. Thu Aug 29 12:45:17 2019  commencing in-memory singleton removal
  476. Thu Aug 29 12:45:37 2019  begin with 121411383 relations and 123474293 unique ideals
  477. Thu Aug 29 12:49:45 2019  reduce to 121095914 relations and 117749241 ideals in 9 passes
  478. Thu Aug 29 12:49:45 2019  max relations containing the same ideal: 144
  479. Thu Aug 29 12:51:52 2019  removing 6211283 relations and 5211283 ideals in 1000000 cliques
  480. Thu Aug 29 12:51:56 2019  commencing in-memory singleton removal
  481. Thu Aug 29 12:52:13 2019  begin with 114884631 relations and 117749241 unique ideals
  482. Thu Aug 29 12:55:51 2019  reduce to 114570704 relations and 112221484 ideals in 9 passes
  483. Thu Aug 29 12:55:51 2019  max relations containing the same ideal: 139
  484. Thu Aug 29 12:57:51 2019  removing 6082499 relations and 5082499 ideals in 1000000 cliques
  485. Thu Aug 29 12:57:55 2019  commencing in-memory singleton removal
  486. Thu Aug 29 12:58:11 2019  begin with 108488205 relations and 112221484 unique ideals
  487. Thu Aug 29 13:01:34 2019  reduce to 108170071 relations and 106818176 ideals in 9 passes
  488. Thu Aug 29 13:01:34 2019  max relations containing the same ideal: 133
  489. Thu Aug 29 13:03:21 2019  removing 1255299 relations and 1106140 ideals in 149159 cliques
  490. Thu Aug 29 13:03:24 2019  commencing in-memory singleton removal
  491. Thu Aug 29 13:03:40 2019  begin with 106914772 relations and 106818176 unique ideals
  492. Thu Aug 29 13:06:14 2019  reduce to 106902309 relations and 105699554 ideals in 7 passes
  493. Thu Aug 29 13:06:14 2019  max relations containing the same ideal: 131
  494. Thu Aug 29 13:06:52 2019  relations with 0 large ideals: 3578
  495. Thu Aug 29 13:06:52 2019  relations with 1 large ideals: 13113
  496. Thu Aug 29 13:06:52 2019  relations with 2 large ideals: 215510
  497. Thu Aug 29 13:06:52 2019  relations with 3 large ideals: 1642225
  498. Thu Aug 29 13:06:52 2019  relations with 4 large ideals: 6886453
  499. Thu Aug 29 13:06:52 2019  relations with 5 large ideals: 17478526
  500. Thu Aug 29 13:06:52 2019  relations with 6 large ideals: 27959213
  501. Thu Aug 29 13:06:52 2019  relations with 7+ large ideals: 52703691
  502. Thu Aug 29 13:06:52 2019  commencing 2-way merge
  503. Thu Aug 29 13:09:22 2019  reduce to 65352937 relation sets and 64150182 unique ideals
  504. Thu Aug 29 13:09:22 2019  commencing full merge
  505. Thu Aug 29 14:34:43 2019  memory use: 3003.2 MB
  506. Thu Aug 29 14:34:44 2019  found 1015587 cycles, need 13658757
  507. Thu Aug 29 14:34:44 2019  too few cycles, matrix probably cannot build
  508. Thu Aug 29 14:34:45 2019  
  509. Thu Aug 29 14:34:45 2019  
  510. Thu Aug 29 14:34:45 2019  Msieve v. 1.53 (SVN 993)
  511. Thu Aug 29 14:34:45 2019  random seeds: 9e99c9b9 a6d0005c
  512. Thu Aug 29 14:34:45 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  513. Thu Aug 29 14:34:47 2019  no P-1/P+1/ECM available, skipping
  514. Thu Aug 29 14:34:47 2019  commencing number field sieve (180-digit input)
  515. Thu Aug 29 14:34:47 2019  R0: -51482716348094461165175706033366334
  516. Thu Aug 29 14:34:47 2019  R1: 119221644080049479
  517. Thu Aug 29 14:34:47 2019  A0: 38646770029987535912516266391431194355905315
  518. Thu Aug 29 14:34:47 2019  A1: 242833785516590445947812024793300718
  519. Thu Aug 29 14:34:47 2019  A2: -589405154582811895754965332941
  520. Thu Aug 29 14:34:47 2019  A3: 19394102442721694323918
  521. Thu Aug 29 14:34:47 2019  A4: 368931528779254
  522. Thu Aug 29 14:34:47 2019  A5: 606480
  523. Thu Aug 29 14:34:47 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  524. Thu Aug 29 14:34:47 2019  
  525. Thu Aug 29 14:34:47 2019  commencing relation filtering
  526. Thu Aug 29 14:34:47 2019  setting target matrix density to 106.0
  527. Thu Aug 29 14:34:47 2019  estimated available RAM is 95375.2 MB
  528. Thu Aug 29 14:34:47 2019  commencing duplicate removal, pass 1
  529. Thu Aug 29 15:30:04 2019  found 10264773 hash collisions in 217032409 relations
  530. Thu Aug 29 15:30:57 2019  commencing duplicate removal, pass 2
  531. Thu Aug 29 15:33:05 2019  found 12 duplicates and 217032397 unique relations
  532. Thu Aug 29 15:33:05 2019  memory use: 756.8 MB
  533. Thu Aug 29 15:33:05 2019  reading ideals above 720000
  534. Thu Aug 29 15:33:05 2019  commencing singleton removal, initial pass
  535. Thu Aug 29 16:32:38 2019  memory use: 5512.0 MB
  536. Thu Aug 29 16:32:39 2019  reading all ideals from disk
  537. Thu Aug 29 16:32:48 2019  memory use: 8818.9 MB
  538. Thu Aug 29 16:34:19 2019  keeping 211238463 ideals with weight <= 200, target excess is 1036841
  539. Thu Aug 29 16:36:15 2019  commencing in-memory singleton removal
  540. Thu Aug 29 16:37:28 2019  begin with 217032397 relations and 211238463 unique ideals
  541. Thu Aug 29 17:05:54 2019  reduce to 162476029 relations and 154147535 ideals in 20 passes
  542. Thu Aug 29 17:05:54 2019  max relations containing the same ideal: 176
  543. Thu Aug 29 17:11:12 2019  removing 10910304 relations and 9910304 ideals in 1000000 cliques
  544. Thu Aug 29 17:11:20 2019  commencing in-memory singleton removal
  545. Thu Aug 29 17:12:04 2019  begin with 151565725 relations and 154147535 unique ideals
  546. Thu Aug 29 17:28:58 2019  reduce to 150861328 relations and 143525871 ideals in 14 passes
  547. Thu Aug 29 17:28:58 2019  max relations containing the same ideal: 170
  548. Thu Aug 29 17:33:48 2019  removing 8060400 relations and 7060400 ideals in 1000000 cliques
  549. Thu Aug 29 17:33:54 2019  commencing in-memory singleton removal
  550. Thu Aug 29 17:34:36 2019  begin with 142800928 relations and 143525871 unique ideals
  551. Thu Aug 29 17:44:35 2019  reduce to 142377989 relations and 136039150 ideals in 9 passes
  552. Thu Aug 29 17:44:35 2019  max relations containing the same ideal: 163
  553. Thu Aug 29 17:49:05 2019  removing 7171585 relations and 6171585 ideals in 1000000 cliques
  554. Thu Aug 29 17:49:11 2019  commencing in-memory singleton removal
  555. Thu Aug 29 17:49:51 2019  begin with 135206404 relations and 136039150 unique ideals
  556. Thu Aug 29 17:59:12 2019  reduce to 134851060 relations and 129509461 ideals in 9 passes
  557. Thu Aug 29 17:59:12 2019  max relations containing the same ideal: 156
  558. Thu Aug 29 18:03:25 2019  removing 6702951 relations and 5702951 ideals in 1000000 cliques
  559. Thu Aug 29 18:03:31 2019  commencing in-memory singleton removal
  560. Thu Aug 29 18:04:07 2019  begin with 128148109 relations and 129509461 unique ideals
  561. Thu Aug 29 18:13:39 2019  reduce to 127818448 relations and 123474293 ideals in 10 passes
  562. Thu Aug 29 18:13:39 2019  max relations containing the same ideal: 150
  563. Thu Aug 29 18:17:35 2019  removing 6407065 relations and 5407065 ideals in 1000000 cliques
  564. Thu Aug 29 18:17:40 2019  commencing in-memory singleton removal
  565. Thu Aug 29 18:18:13 2019  begin with 121411383 relations and 123474293 unique ideals
  566. Thu Aug 29 18:26:08 2019  reduce to 121095914 relations and 117749241 ideals in 9 passes
  567. Thu Aug 29 18:26:08 2019  max relations containing the same ideal: 144
  568. Thu Aug 29 18:29:40 2019  removing 6211283 relations and 5211283 ideals in 1000000 cliques
  569. Thu Aug 29 18:29:45 2019  commencing in-memory singleton removal
  570. Thu Aug 29 18:30:15 2019  begin with 114884631 relations and 117749241 unique ideals
  571. Thu Aug 29 18:37:23 2019  reduce to 114570704 relations and 112221484 ideals in 9 passes
  572. Thu Aug 29 18:37:23 2019  max relations containing the same ideal: 139
  573. Thu Aug 29 18:40:40 2019  removing 6082499 relations and 5082499 ideals in 1000000 cliques
  574. Thu Aug 29 18:40:45 2019  commencing in-memory singleton removal
  575. Thu Aug 29 18:41:13 2019  begin with 108488205 relations and 112221484 unique ideals
  576. Thu Aug 29 18:47:44 2019  reduce to 108170071 relations and 106818176 ideals in 9 passes
  577. Thu Aug 29 18:47:44 2019  max relations containing the same ideal: 133
  578. Thu Aug 29 18:50:48 2019  removing 1255299 relations and 1106140 ideals in 149159 cliques
  579. Thu Aug 29 18:50:51 2019  commencing in-memory singleton removal
  580. Thu Aug 29 18:51:19 2019  begin with 106914772 relations and 106818176 unique ideals
  581. Thu Aug 29 18:56:20 2019  reduce to 106902309 relations and 105699554 ideals in 7 passes
  582. Thu Aug 29 18:56:20 2019  max relations containing the same ideal: 131
  583. Thu Aug 29 18:57:07 2019  relations with 0 large ideals: 3578
  584. Thu Aug 29 18:57:07 2019  relations with 1 large ideals: 13113
  585. Thu Aug 29 18:57:07 2019  relations with 2 large ideals: 215510
  586. Thu Aug 29 18:57:07 2019  relations with 3 large ideals: 1642225
  587. Thu Aug 29 18:57:07 2019  relations with 4 large ideals: 6886453
  588. Thu Aug 29 18:57:07 2019  relations with 5 large ideals: 17478526
  589. Thu Aug 29 18:57:07 2019  relations with 6 large ideals: 27959213
  590. Thu Aug 29 18:57:07 2019  relations with 7+ large ideals: 52703691
  591. Thu Aug 29 18:57:07 2019  commencing 2-way merge
  592. Thu Aug 29 19:00:58 2019  reduce to 65352937 relation sets and 64150182 unique ideals
  593. Thu Aug 29 19:00:58 2019  commencing full merge
  594. Thu Aug 29 20:13:50 2019  memory use: 7287.5 MB
  595. Thu Aug 29 20:14:10 2019  found 29347478 cycles, need 29342382
  596. Thu Aug 29 20:14:35 2019  weight of 29342382 cycles is about 3110480627 (106.01/cycle)
  597. Thu Aug 29 20:14:35 2019  distribution of cycle lengths:
  598. Thu Aug 29 20:14:35 2019  1 relations: 3125780
  599. Thu Aug 29 20:14:35 2019  2 relations: 2730615
  600. Thu Aug 29 20:14:35 2019  3 relations: 2597167
  601. Thu Aug 29 20:14:35 2019  4 relations: 2380408
  602. Thu Aug 29 20:14:35 2019  5 relations: 2223927
  603. Thu Aug 29 20:14:35 2019  6 relations: 1977743
  604. Thu Aug 29 20:14:35 2019  7 relations: 1826043
  605. Thu Aug 29 20:14:35 2019  8 relations: 1620381
  606. Thu Aug 29 20:14:35 2019  9 relations: 1450930
  607. Thu Aug 29 20:14:35 2019  10+ relations: 9409388
  608. Thu Aug 29 20:14:35 2019  heaviest cycle: 28 relations
  609. Thu Aug 29 20:14:56 2019  commencing cycle optimization
  610. Thu Aug 29 20:17:48 2019  start with 226854410 relations
  611. Thu Aug 29 20:37:30 2019  pruned 7222362 relations
  612. Thu Aug 29 20:37:36 2019  memory use: 6682.8 MB
  613. Thu Aug 29 20:37:36 2019  distribution of cycle lengths:
  614. Thu Aug 29 20:37:36 2019  1 relations: 3125780
  615. Thu Aug 29 20:37:36 2019  2 relations: 2803349
  616. Thu Aug 29 20:37:36 2019  3 relations: 2701850
  617. Thu Aug 29 20:37:36 2019  4 relations: 2454137
  618. Thu Aug 29 20:37:36 2019  5 relations: 2291564
  619. Thu Aug 29 20:37:36 2019  6 relations: 2027066
  620. Thu Aug 29 20:37:36 2019  7 relations: 1862546
  621. Thu Aug 29 20:37:36 2019  8 relations: 1642727
  622. Thu Aug 29 20:37:36 2019  9 relations: 1467975
  623. Thu Aug 29 20:37:36 2019  10+ relations: 8965388
  624. Thu Aug 29 20:37:36 2019  heaviest cycle: 28 relations
  625. Thu Aug 29 20:39:33 2019  RelProcTime: 21886
  626. Thu Aug 29 20:39:55 2019  elapsed time 06:05:10
  627. Thu Aug 29 20:39:57 2019  
  628. Thu Aug 29 20:39:57 2019  
  629. Thu Aug 29 20:39:57 2019  Msieve v. 1.53 (SVN 993)
  630. Thu Aug 29 20:39:57 2019  random seeds: 4202bff5 2cc5455e
  631. Thu Aug 29 20:39:57 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  632. Thu Aug 29 20:39:59 2019  no P-1/P+1/ECM available, skipping
  633. Thu Aug 29 20:39:59 2019  commencing number field sieve (180-digit input)
  634. Thu Aug 29 20:39:59 2019  R0: -51482716348094461165175706033366334
  635. Thu Aug 29 20:39:59 2019  R1: 119221644080049479
  636. Thu Aug 29 20:39:59 2019  A0: 38646770029987535912516266391431194355905315
  637. Thu Aug 29 20:39:59 2019  A1: 242833785516590445947812024793300718
  638. Thu Aug 29 20:39:59 2019  A2: -589405154582811895754965332941
  639. Thu Aug 29 20:39:59 2019  A3: 19394102442721694323918
  640. Thu Aug 29 20:39:59 2019  A4: 368931528779254
  641. Thu Aug 29 20:39:59 2019  A5: 606480
  642. Thu Aug 29 20:39:59 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  643. Thu Aug 29 20:39:59 2019  
  644. Thu Aug 29 20:39:59 2019  commencing relation filtering
  645. Thu Aug 29 20:39:59 2019  setting target matrix density to 108.0
  646. Thu Aug 29 20:39:59 2019  estimated available RAM is 95375.2 MB
  647. Thu Aug 29 20:39:59 2019  commencing duplicate removal, pass 1
  648. Thu Aug 29 21:39:07 2019  found 10264773 hash collisions in 217032409 relations
  649. Thu Aug 29 21:40:12 2019  commencing duplicate removal, pass 2
  650. Thu Aug 29 21:42:13 2019  found 12 duplicates and 217032397 unique relations
  651. Thu Aug 29 21:42:13 2019  memory use: 756.8 MB
  652. Thu Aug 29 21:42:13 2019  reading ideals above 720000
  653. Thu Aug 29 21:42:13 2019  commencing singleton removal, initial pass
  654. Thu Aug 29 22:49:14 2019  memory use: 5512.0 MB
  655. Thu Aug 29 22:49:14 2019  reading all ideals from disk
  656. Thu Aug 29 22:49:23 2019  memory use: 8818.9 MB
  657. Thu Aug 29 22:50:25 2019  keeping 211238463 ideals with weight <= 200, target excess is 1036841
  658. Thu Aug 29 22:51:40 2019  commencing in-memory singleton removal
  659. Thu Aug 29 22:52:18 2019  begin with 217032397 relations and 211238463 unique ideals
  660. Thu Aug 29 23:05:31 2019  reduce to 162476029 relations and 154147535 ideals in 20 passes
  661. Thu Aug 29 23:05:31 2019  max relations containing the same ideal: 176
  662. Thu Aug 29 23:08:29 2019  removing 10910304 relations and 9910304 ideals in 1000000 cliques
  663. Thu Aug 29 23:08:36 2019  commencing in-memory singleton removal
  664. Thu Aug 29 23:08:59 2019  begin with 151565725 relations and 154147535 unique ideals
  665. Thu Aug 29 23:16:51 2019  reduce to 150861328 relations and 143525871 ideals in 14 passes
  666. Thu Aug 29 23:16:51 2019  max relations containing the same ideal: 170
  667. Thu Aug 29 23:19:30 2019  removing 8060400 relations and 7060400 ideals in 1000000 cliques
  668. Thu Aug 29 23:19:36 2019  commencing in-memory singleton removal
  669. Thu Aug 29 23:19:57 2019  begin with 142800928 relations and 143525871 unique ideals
  670. Thu Aug 29 23:24:36 2019  reduce to 142377989 relations and 136039150 ideals in 9 passes
  671. Thu Aug 29 23:24:36 2019  max relations containing the same ideal: 163
  672. Thu Aug 29 23:26:57 2019  removing 7171585 relations and 6171585 ideals in 1000000 cliques
  673. Thu Aug 29 23:27:03 2019  commencing in-memory singleton removal
  674. Thu Aug 29 23:27:24 2019  begin with 135206404 relations and 136039150 unique ideals
  675. Thu Aug 29 23:32:03 2019  reduce to 134851060 relations and 129509461 ideals in 9 passes
  676. Thu Aug 29 23:32:03 2019  max relations containing the same ideal: 156
  677. Thu Aug 29 23:34:34 2019  removing 6702951 relations and 5702951 ideals in 1000000 cliques
  678. Thu Aug 29 23:34:40 2019  commencing in-memory singleton removal
  679. Thu Aug 29 23:35:00 2019  begin with 128148109 relations and 129509461 unique ideals
  680. Thu Aug 29 23:40:23 2019  reduce to 127818448 relations and 123474293 ideals in 10 passes
  681. Thu Aug 29 23:40:23 2019  max relations containing the same ideal: 150
  682. Thu Aug 29 23:42:42 2019  removing 6407065 relations and 5407065 ideals in 1000000 cliques
  683. Thu Aug 29 23:42:47 2019  commencing in-memory singleton removal
  684. Thu Aug 29 23:43:08 2019  begin with 121411383 relations and 123474293 unique ideals
  685. Thu Aug 29 23:47:41 2019  reduce to 121095914 relations and 117749241 ideals in 9 passes
  686. Thu Aug 29 23:47:41 2019  max relations containing the same ideal: 144
  687. Thu Aug 29 23:50:00 2019  removing 6211283 relations and 5211283 ideals in 1000000 cliques
  688. Thu Aug 29 23:50:05 2019  commencing in-memory singleton removal
  689. Thu Aug 29 23:50:23 2019  begin with 114884631 relations and 117749241 unique ideals
  690. Thu Aug 29 23:54:22 2019  reduce to 114570704 relations and 112221484 ideals in 9 passes
  691. Thu Aug 29 23:54:22 2019  max relations containing the same ideal: 139
  692. Thu Aug 29 23:56:25 2019  removing 6082499 relations and 5082499 ideals in 1000000 cliques
  693. Thu Aug 29 23:56:30 2019  commencing in-memory singleton removal
  694. Thu Aug 29 23:56:49 2019  begin with 108488205 relations and 112221484 unique ideals
  695. Fri Aug 30 00:00:38 2019  reduce to 108170071 relations and 106818176 ideals in 9 passes
  696. Fri Aug 30 00:00:38 2019  max relations containing the same ideal: 133
  697. Fri Aug 30 00:02:39 2019  removing 1255299 relations and 1106140 ideals in 149159 cliques
  698. Fri Aug 30 00:02:43 2019  commencing in-memory singleton removal
  699. Fri Aug 30 00:03:00 2019  begin with 106914772 relations and 106818176 unique ideals
  700. Fri Aug 30 00:05:51 2019  reduce to 106902309 relations and 105699554 ideals in 7 passes
  701. Fri Aug 30 00:05:51 2019  max relations containing the same ideal: 131
  702. Fri Aug 30 00:06:35 2019  relations with 0 large ideals: 3578
  703. Fri Aug 30 00:06:35 2019  relations with 1 large ideals: 13113
  704. Fri Aug 30 00:06:35 2019  relations with 2 large ideals: 215510
  705. Fri Aug 30 00:06:35 2019  relations with 3 large ideals: 1642225
  706. Fri Aug 30 00:06:35 2019  relations with 4 large ideals: 6886453
  707. Fri Aug 30 00:06:35 2019  relations with 5 large ideals: 17478526
  708. Fri Aug 30 00:06:35 2019  relations with 6 large ideals: 27959213
  709. Fri Aug 30 00:06:35 2019  relations with 7+ large ideals: 52703691
  710. Fri Aug 30 00:06:35 2019  commencing 2-way merge
  711. Fri Aug 30 00:09:19 2019  reduce to 65352937 relation sets and 64150182 unique ideals
  712. Fri Aug 30 00:09:19 2019  commencing full merge
  713. Fri Aug 30 01:56:28 2019  memory use: 3003.2 MB
  714. Fri Aug 30 01:56:29 2019  found 1015587 cycles, need 13658757
  715. Fri Aug 30 01:56:29 2019  too few cycles, matrix probably cannot build
  716. Fri Aug 30 11:46:43 2019  
  717. Fri Aug 30 11:46:43 2019  
  718. Fri Aug 30 11:46:43 2019  Msieve v. 1.54 (SVN 1022M)
  719. Fri Aug 30 11:46:43 2019  random seeds: 854a6c7b 8e8284a5
  720. Fri Aug 30 11:46:43 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  721. Fri Aug 30 11:46:44 2019  no P-1/P+1/ECM available, skipping
  722. Fri Aug 30 11:46:44 2019  commencing number field sieve (180-digit input)
  723. Fri Aug 30 11:46:44 2019  R0: -51482716348094461165175706033366334
  724. Fri Aug 30 11:46:44 2019  R1: 119221644080049479
  725. Fri Aug 30 11:46:44 2019  A0: 38646770029987535912516266391431194355905315
  726. Fri Aug 30 11:46:44 2019  A1: 242833785516590445947812024793300718
  727. Fri Aug 30 11:46:44 2019  A2: -589405154582811895754965332941
  728. Fri Aug 30 11:46:44 2019  A3: 19394102442721694323918
  729. Fri Aug 30 11:46:44 2019  A4: 368931528779254
  730. Fri Aug 30 11:46:44 2019  A5: 606480
  731. Fri Aug 30 11:46:44 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  732. Fri Aug 30 11:46:44 2019  
  733. Fri Aug 30 11:46:44 2019  commencing linear algebra
  734. Fri Aug 30 11:46:48 2019  read 29342382 cycles
  735. Fri Aug 30 11:48:27 2019  cycles contain 105933644 unique relations
  736. Fri Aug 30 11:59:16 2019  read 105933644 relations
  737. Fri Aug 30 12:04:34 2019  using 20 quadratic characters above 4294917295
  738. Fri Aug 30 12:13:07 2019  building initial matrix
  739. Fri Aug 30 12:50:11 2019  memory use: 14405.8 MB
  740. Fri Aug 30 12:50:29 2019  read 29342382 cycles
  741. Fri Aug 30 12:50:37 2019  matrix is 29342203 x 29342382 (12562.5 MB) with weight 3866387975 (131.77/col)
  742. Fri Aug 30 12:50:37 2019  sparse part has weight 2941067865 (100.23/col)
  743. Fri Aug 30 12:59:09 2019  filtering completed in 2 passes
  744. Fri Aug 30 12:59:20 2019  matrix is 29341357 x 29341534 (12562.4 MB) with weight 3866349141 (131.77/col)
  745. Fri Aug 30 12:59:20 2019  sparse part has weight 2941060323 (100.24/col)
  746. Fri Aug 30 13:01:06 2019  matrix starts at (0, 0)
  747. Fri Aug 30 13:01:14 2019  matrix is 29341357 x 29341534 (12562.4 MB) with weight 3866349141 (131.77/col)
  748. Fri Aug 30 13:01:14 2019  sparse part has weight 2941060323 (100.24/col)
  749. Fri Aug 30 13:01:14 2019  saving the first 240 matrix rows for later
  750. Fri Aug 30 13:01:26 2019  matrix includes 256 packed rows
  751. Fri Aug 30 13:01:41 2019  matrix is 29341117 x 29341534 (11515.2 MB) with weight 2705680753 (92.21/col)
  752. Fri Aug 30 13:01:41 2019  sparse part has weight 2549177019 (86.88/col)
  753. Fri Aug 30 13:01:41 2019  using block size 8192 and superblock size 473088 for processor cache size 19712 kB
  754. Fri Aug 30 13:03:36 2019  commencing Lanczos iteration (14 threads)
  755. Fri Aug 30 13:03:36 2019  memory use: 16451.3 MB
  756. Fri Aug 30 13:05:15 2019  linear algebra at 0.0%, ETA 436h30m
  757. Fri Aug 30 13:05:43 2019  checkpointing every 70000 dimensions
  758. Sat Sep  7 20:51:02 2019  lanczos halted after 114960 iterations (dim = 29341115)
  759. Sat Sep  7 20:54:26 2019  recovered 28 nontrivial dependencies
  760. Sat Sep  7 20:54:34 2019  BLanczosTime: 724070
  761. Sat Sep  7 20:54:34 2019  elapsed time 201:07:51
  762. Sat Sep  7 20:54:34 2019  
  763. Sat Sep  7 20:54:34 2019  
  764. Sat Sep  7 20:54:34 2019  Msieve v. 1.54 (SVN 1022M)
  765. Sat Sep  7 20:54:34 2019  random seeds: c8cfdf2d b10f23b5
  766. Sat Sep  7 20:54:34 2019  factoring 219342985485631316265442071722550692243683588858554966031177608387883403841657934639060534768118755209418166071051802166246203883566248340153057709552356976051818594985665351142461 (180 digits)
  767. Sat Sep  7 20:54:35 2019  no P-1/P+1/ECM available, skipping
  768. Sat Sep  7 20:54:35 2019  commencing number field sieve (180-digit input)
  769. Sat Sep  7 20:54:35 2019  R0: -51482716348094461165175706033366334
  770. Sat Sep  7 20:54:35 2019  R1: 119221644080049479
  771. Sat Sep  7 20:54:35 2019  A0: 38646770029987535912516266391431194355905315
  772. Sat Sep  7 20:54:35 2019  A1: 242833785516590445947812024793300718
  773. Sat Sep  7 20:54:35 2019  A2: -589405154582811895754965332941
  774. Sat Sep  7 20:54:35 2019  A3: 19394102442721694323918
  775. Sat Sep  7 20:54:35 2019  A4: 368931528779254
  776. Sat Sep  7 20:54:35 2019  A5: 606480
  777. Sat Sep  7 20:54:35 2019  skew 41743167.27, size 1.574e-17, alpha -8.187, combined = 9.171e-14 rroots = 5
  778. Sat Sep  7 20:54:35 2019  
  779. Sat Sep  7 20:54:35 2019  commencing square root phase
  780. Sat Sep  7 20:54:35 2019  reading relations for dependency 1
  781. Sat Sep  7 20:54:38 2019  read 14667376 cycles
  782. Sat Sep  7 20:55:31 2019  cycles contain 52958952 unique relations
  783. Sat Sep  7 21:01:25 2019  read 52958952 relations
  784. Sat Sep  7 21:09:59 2019  multiplying 52958952 relations
  785. Sat Sep  7 23:00:14 2019  multiply complete, coefficients have about 3166.77 million bits
  786. Sat Sep  7 23:00:33 2019  initial square root is modulo 12665297
  787. Sun Sep  8 01:06:36 2019  sqrtTime: 15121
  788. Sun Sep  8 01:06:36 2019  p83 factor: 84533871991295025612673365037607248864042105790911242857057736907322796040383151729
  789. Sun Sep  8 01:06:36 2019  p97 factor: 2594734871581635546807361130509622675072564264417628880027444284471931998173463638211810337876109
  790. Sun Sep  8 01:06:36 2019  elapsed time 04:12:02
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