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12899_59m1

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Mar 29th, 2019
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  1. Fri Mar 22 05:46:26 2019
  2. Fri Mar 22 05:46:26 2019
  3. Fri Mar 22 05:46:26 2019 Msieve v. 1.54 (SVN 1025)
  4. Fri Mar 22 05:46:26 2019 random seeds: 1ee459ba 5e24ac42
  5. Fri Mar 22 05:46:26 2019 factoring 260088716248489253501403711095042639913786162956636082170417937026895934104714037205071987847957241754727092455086697841730754883241041264398118889722892200488042692204105381821012869661221522907651564239388998841550741337375168767 (231 digits)
  6. Fri Mar 22 05:46:27 2019 searching for 15-digit factors
  7. Fri Mar 22 05:46:28 2019 commencing number field sieve (231-digit input)
  8. Fri Mar 22 05:46:28 2019 R0: 21216439979084476861714115515880529554268902905201
  9. Fri Mar 22 05:46:28 2019 R1: -1
  10. Fri Mar 22 05:46:28 2019 A0: -12899
  11. Fri Mar 22 05:46:28 2019 A1: 0
  12. Fri Mar 22 05:46:28 2019 A2: 0
  13. Fri Mar 22 05:46:28 2019 A3: 0
  14. Fri Mar 22 05:46:28 2019 A4: 0
  15. Fri Mar 22 05:46:28 2019 A5: 1
  16. Fri Mar 22 05:46:28 2019 skew 6.64, size 3.683e-17, alpha 0.523, combined = 1.215e-13 rroots = 1
  17. Fri Mar 22 05:46:28 2019
  18. Fri Mar 22 05:46:28 2019 commencing relation filtering
  19. Fri Mar 22 05:46:28 2019 setting target matrix density to 116.0
  20. Fri Mar 22 05:46:28 2019 estimated available RAM is 15984.6 MB
  21. Fri Mar 22 05:46:28 2019 commencing duplicate removal, pass 1
  22. Fri Mar 22 05:47:22 2019 error -1 reading relation 8199165
  23. Fri Mar 22 05:58:41 2019 error -15 reading relation 110158900
  24. Fri Mar 22 06:07:33 2019 error -15 reading relation 189879369
  25. Fri Mar 22 06:19:49 2019 error -15 reading relation 299858383
  26. Fri Mar 22 06:24:26 2019 error -15 reading relation 341252470
  27. Fri Mar 22 06:25:10 2019 error -1 reading relation 347803562
  28. Fri Mar 22 06:25:53 2019 error -5 reading relation 354146657
  29. Fri Mar 22 06:29:10 2019 skipped 67 relations with b > 2^32
  30. Fri Mar 22 06:29:10 2019 skipped 3 relations with composite factors
  31. Fri Mar 22 06:29:10 2019 found 30455116 hash collisions in 383151149 relations
  32. Fri Mar 22 06:29:35 2019 commencing duplicate removal, pass 2
  33. Fri Mar 22 06:31:12 2019 found 0 duplicates and 383151149 unique relations
  34. Fri Mar 22 06:31:12 2019 memory use: 1321.5 MB
  35. Fri Mar 22 06:31:12 2019 reading ideals above 299827200
  36. Fri Mar 22 06:31:12 2019 commencing singleton removal, initial pass
  37. Fri Mar 22 07:01:19 2019 memory use: 6024.0 MB
  38. Fri Mar 22 07:01:19 2019 reading all ideals from disk
  39. Fri Mar 22 07:01:33 2019 memory use: 6275.6 MB
  40. Fri Mar 22 07:01:47 2019 commencing in-memory singleton removal
  41. Fri Mar 22 07:02:01 2019 begin with 383151149 relations and 304186324 unique ideals
  42. Fri Mar 22 07:04:26 2019 reduce to 252540855 relations and 160414946 ideals in 13 passes
  43. Fri Mar 22 07:04:26 2019 max relations containing the same ideal: 44
  44. Fri Mar 22 07:04:38 2019 reading ideals above 720000
  45. Fri Mar 22 07:04:38 2019 commencing singleton removal, initial pass
  46. Fri Mar 22 07:31:01 2019 memory use: 5512.0 MB
  47. Fri Mar 22 07:31:01 2019 reading large ideals from disk
  48. Fri Mar 22 07:32:38 2019 keeping 172437753 ideals with weight <= 20, target excess is 20461054
  49. Fri Mar 22 07:34:18 2019 memory use: 5293.0 MB
  50. Fri Mar 22 07:34:18 2019 commencing in-memory singleton removal
  51. Fri Mar 22 07:34:24 2019 begin with 252540855 relations and 172437753 unique ideals
  52. Fri Mar 22 07:35:32 2019 reduce to 252518528 relations and 172415426 ideals in 8 passes
  53. Fri Mar 22 07:35:32 2019 max relations containing the same ideal: 20
  54. Fri Mar 22 07:36:21 2019 removing 11541136 relations and 9541136 ideals in 2000000 cliques
  55. Fri Mar 22 07:36:24 2019 commencing in-memory singleton removal
  56. Fri Mar 22 07:36:31 2019 begin with 240977392 relations and 172415426 unique ideals
  57. Fri Mar 22 07:37:35 2019 reduce to 240533949 relations and 162425987 ideals in 8 passes
  58. Fri Mar 22 07:37:35 2019 max relations containing the same ideal: 20
  59. Fri Mar 22 07:38:21 2019 removing 8618689 relations and 6618689 ideals in 2000000 cliques
  60. Fri Mar 22 07:38:25 2019 commencing in-memory singleton removal
  61. Fri Mar 22 07:38:30 2019 begin with 231915260 relations and 162425987 unique ideals
  62. Fri Mar 22 07:39:24 2019 reduce to 231622602 relations and 155511864 ideals in 7 passes
  63. Fri Mar 22 07:39:24 2019 max relations containing the same ideal: 20
  64. Fri Mar 22 07:40:08 2019 removing 7736505 relations and 5736505 ideals in 2000000 cliques
  65. Fri Mar 22 07:40:11 2019 commencing in-memory singleton removal
  66. Fri Mar 22 07:40:16 2019 begin with 223886097 relations and 155511864 unique ideals
  67. Fri Mar 22 07:41:07 2019 reduce to 223635420 relations and 149522424 ideals in 7 passes
  68. Fri Mar 22 07:41:07 2019 max relations containing the same ideal: 20
  69. Fri Mar 22 07:41:49 2019 removing 7328325 relations and 5328325 ideals in 2000000 cliques
  70. Fri Mar 22 07:41:52 2019 commencing in-memory singleton removal
  71. Fri Mar 22 07:41:57 2019 begin with 216307095 relations and 149522424 unique ideals
  72. Fri Mar 22 07:42:45 2019 reduce to 216085576 relations and 143970508 ideals in 7 passes
  73. Fri Mar 22 07:42:45 2019 max relations containing the same ideal: 20
  74. Fri Mar 22 07:43:26 2019 removing 6961597 relations and 4961597 ideals in 2000000 cliques
  75. Fri Mar 22 07:43:29 2019 commencing in-memory singleton removal
  76. Fri Mar 22 07:43:34 2019 begin with 209123979 relations and 143970508 unique ideals
  77. Fri Mar 22 07:44:20 2019 reduce to 208906982 relations and 138789882 ideals in 7 passes
  78. Fri Mar 22 07:44:20 2019 max relations containing the same ideal: 20
  79. Fri Mar 22 07:44:59 2019 removing 6757169 relations and 4757169 ideals in 2000000 cliques
  80. Fri Mar 22 07:45:02 2019 commencing in-memory singleton removal
  81. Fri Mar 22 07:45:07 2019 begin with 202149813 relations and 138789882 unique ideals
  82. Fri Mar 22 07:45:51 2019 reduce to 201940039 relations and 133820972 ideals in 7 passes
  83. Fri Mar 22 07:45:51 2019 max relations containing the same ideal: 20
  84. Fri Mar 22 07:46:29 2019 removing 6639512 relations and 4639512 ideals in 2000000 cliques
  85. Fri Mar 22 07:46:32 2019 commencing in-memory singleton removal
  86. Fri Mar 22 07:46:37 2019 begin with 195300527 relations and 133820972 unique ideals
  87. Fri Mar 22 07:47:13 2019 reduce to 195102158 relations and 128981204 ideals in 6 passes
  88. Fri Mar 22 07:47:13 2019 max relations containing the same ideal: 20
  89. Fri Mar 22 07:47:50 2019 removing 6471486 relations and 4471486 ideals in 2000000 cliques
  90. Fri Mar 22 07:47:52 2019 commencing in-memory singleton removal
  91. Fri Mar 22 07:47:57 2019 begin with 188630672 relations and 128981204 unique ideals
  92. Fri Mar 22 07:48:37 2019 reduce to 188432938 relations and 124309934 ideals in 7 passes
  93. Fri Mar 22 07:48:37 2019 max relations containing the same ideal: 20
  94. Fri Mar 22 07:49:13 2019 removing 6434092 relations and 4434092 ideals in 2000000 cliques
  95. Fri Mar 22 07:49:15 2019 commencing in-memory singleton removal
  96. Fri Mar 22 07:49:19 2019 begin with 181998846 relations and 124309934 unique ideals
  97. Fri Mar 22 07:50:04 2019 reduce to 181806251 relations and 119681107 ideals in 8 passes
  98. Fri Mar 22 07:50:04 2019 max relations containing the same ideal: 20
  99. Fri Mar 22 07:50:38 2019 removing 6304828 relations and 4304828 ideals in 2000000 cliques
  100. Fri Mar 22 07:50:41 2019 commencing in-memory singleton removal
  101. Fri Mar 22 07:50:45 2019 begin with 175501423 relations and 119681107 unique ideals
  102. Fri Mar 22 07:51:22 2019 reduce to 175308834 relations and 115181469 ideals in 7 passes
  103. Fri Mar 22 07:51:22 2019 max relations containing the same ideal: 20
  104. Fri Mar 22 07:51:55 2019 removing 6221263 relations and 4221263 ideals in 2000000 cliques
  105. Fri Mar 22 07:51:58 2019 commencing in-memory singleton removal
  106. Fri Mar 22 07:52:01 2019 begin with 169087571 relations and 115181469 unique ideals
  107. Fri Mar 22 07:52:36 2019 reduce to 168890512 relations and 110760737 ideals in 7 passes
  108. Fri Mar 22 07:52:36 2019 max relations containing the same ideal: 20
  109. Fri Mar 22 07:53:08 2019 removing 6209251 relations and 4209251 ideals in 2000000 cliques
  110. Fri Mar 22 07:53:11 2019 commencing in-memory singleton removal
  111. Fri Mar 22 07:53:14 2019 begin with 162681261 relations and 110760737 unique ideals
  112. Fri Mar 22 07:53:47 2019 reduce to 162485262 relations and 106353134 ideals in 7 passes
  113. Fri Mar 22 07:53:47 2019 max relations containing the same ideal: 20
  114. Fri Mar 22 07:54:18 2019 removing 6104283 relations and 4104283 ideals in 2000000 cliques
  115. Fri Mar 22 07:54:21 2019 commencing in-memory singleton removal
  116. Fri Mar 22 07:54:24 2019 begin with 156380979 relations and 106353134 unique ideals
  117. Fri Mar 22 07:54:56 2019 reduce to 156185838 relations and 102051240 ideals in 7 passes
  118. Fri Mar 22 07:54:56 2019 max relations containing the same ideal: 20
  119. Fri Mar 22 07:55:26 2019 removing 6142361 relations and 4142361 ideals in 2000000 cliques
  120. Fri Mar 22 07:55:28 2019 commencing in-memory singleton removal
  121. Fri Mar 22 07:55:31 2019 begin with 150043477 relations and 102051240 unique ideals
  122. Fri Mar 22 07:56:06 2019 reduce to 149850004 relations and 97712897 ideals in 8 passes
  123. Fri Mar 22 07:56:06 2019 max relations containing the same ideal: 20
  124. Fri Mar 22 07:56:34 2019 removing 5950093 relations and 3950093 ideals in 2000000 cliques
  125. Fri Mar 22 07:56:37 2019 commencing in-memory singleton removal
  126. Fri Mar 22 07:56:40 2019 begin with 143899911 relations and 97712897 unique ideals
  127. Fri Mar 22 07:57:08 2019 reduce to 143660424 relations and 93519832 ideals in 7 passes
  128. Fri Mar 22 07:57:08 2019 max relations containing the same ideal: 20
  129. Fri Mar 22 07:57:36 2019 removing 6046879 relations and 4046879 ideals in 2000000 cliques
  130. Fri Mar 22 07:57:38 2019 commencing in-memory singleton removal
  131. Fri Mar 22 07:57:41 2019 begin with 137613545 relations and 93519832 unique ideals
  132. Fri Mar 22 07:58:08 2019 reduce to 137403348 relations and 89259504 ideals in 7 passes
  133. Fri Mar 22 07:58:08 2019 max relations containing the same ideal: 20
  134. Fri Mar 22 07:58:35 2019 removing 6016298 relations and 4016298 ideals in 2000000 cliques
  135. Fri Mar 22 07:58:37 2019 commencing in-memory singleton removal
  136. Fri Mar 22 07:58:40 2019 begin with 131387050 relations and 89259504 unique ideals
  137. Fri Mar 22 07:59:06 2019 reduce to 131179505 relations and 85032342 ideals in 7 passes
  138. Fri Mar 22 07:59:06 2019 max relations containing the same ideal: 20
  139. Fri Mar 22 07:59:31 2019 removing 6009360 relations and 4009360 ideals in 2000000 cliques
  140. Fri Mar 22 07:59:33 2019 commencing in-memory singleton removal
  141. Fri Mar 22 07:59:35 2019 begin with 125170145 relations and 85032342 unique ideals
  142. Fri Mar 22 08:00:00 2019 reduce to 124957358 relations and 80806803 ideals in 7 passes
  143. Fri Mar 22 08:00:00 2019 max relations containing the same ideal: 20
  144. Fri Mar 22 08:00:24 2019 removing 5826022 relations and 3826022 ideals in 2000000 cliques
  145. Fri Mar 22 08:00:26 2019 commencing in-memory singleton removal
  146. Fri Mar 22 08:00:28 2019 begin with 119131336 relations and 80806803 unique ideals
  147. Fri Mar 22 08:00:51 2019 reduce to 118859596 relations and 76704160 ideals in 7 passes
  148. Fri Mar 22 08:00:51 2019 max relations containing the same ideal: 20
  149. Fri Mar 22 08:01:14 2019 removing 5973851 relations and 3973851 ideals in 2000000 cliques
  150. Fri Mar 22 08:01:16 2019 commencing in-memory singleton removal
  151. Fri Mar 22 08:01:18 2019 begin with 112885745 relations and 76704160 unique ideals
  152. Fri Mar 22 08:01:43 2019 reduce to 112646385 relations and 72486679 ideals in 8 passes
  153. Fri Mar 22 08:01:43 2019 max relations containing the same ideal: 19
  154. Fri Mar 22 08:02:05 2019 removing 6003715 relations and 4003715 ideals in 2000000 cliques
  155. Fri Mar 22 08:02:07 2019 commencing in-memory singleton removal
  156. Fri Mar 22 08:02:09 2019 begin with 106642670 relations and 72486679 unique ideals
  157. Fri Mar 22 08:02:29 2019 reduce to 106400324 relations and 68236179 ideals in 7 passes
  158. Fri Mar 22 08:02:29 2019 max relations containing the same ideal: 19
  159. Fri Mar 22 08:02:49 2019 removing 5893609 relations and 3893609 ideals in 2000000 cliques
  160. Fri Mar 22 08:02:51 2019 commencing in-memory singleton removal
  161. Fri Mar 22 08:02:53 2019 begin with 100506715 relations and 68236179 unique ideals
  162. Fri Mar 22 08:03:12 2019 reduce to 100223207 relations and 64053418 ideals in 7 passes
  163. Fri Mar 22 08:03:12 2019 max relations containing the same ideal: 19
  164. Fri Mar 22 08:03:31 2019 removing 5892837 relations and 3892837 ideals in 2000000 cliques
  165. Fri Mar 22 08:03:33 2019 commencing in-memory singleton removal
  166. Fri Mar 22 08:03:35 2019 begin with 94330370 relations and 64053418 unique ideals
  167. Fri Mar 22 08:03:52 2019 reduce to 94043705 relations and 59867711 ideals in 7 passes
  168. Fri Mar 22 08:03:52 2019 max relations containing the same ideal: 18
  169. Fri Mar 22 08:04:11 2019 removing 5922670 relations and 3922670 ideals in 2000000 cliques
  170. Fri Mar 22 08:04:12 2019 commencing in-memory singleton removal
  171. Fri Mar 22 08:04:14 2019 begin with 88121035 relations and 59867711 unique ideals
  172. Fri Mar 22 08:04:34 2019 reduce to 87813635 relations and 55630744 ideals in 9 passes
  173. Fri Mar 22 08:04:34 2019 max relations containing the same ideal: 18
  174. Fri Mar 22 08:04:51 2019 removing 5945373 relations and 3945373 ideals in 2000000 cliques
  175. Fri Mar 22 08:04:53 2019 commencing in-memory singleton removal
  176. Fri Mar 22 08:04:54 2019 begin with 81868262 relations and 55630744 unique ideals
  177. Fri Mar 22 08:05:11 2019 reduce to 81518735 relations and 51327419 ideals in 8 passes
  178. Fri Mar 22 08:05:11 2019 max relations containing the same ideal: 17
  179. Fri Mar 22 08:05:27 2019 removing 5933347 relations and 3933347 ideals in 2000000 cliques
  180. Fri Mar 22 08:05:29 2019 commencing in-memory singleton removal
  181. Fri Mar 22 08:05:30 2019 begin with 75585388 relations and 51327419 unique ideals
  182. Fri Mar 22 08:05:45 2019 reduce to 75227357 relations and 47026858 ideals in 8 passes
  183. Fri Mar 22 08:05:45 2019 max relations containing the same ideal: 17
  184. Fri Mar 22 08:06:00 2019 removing 5961223 relations and 3961223 ideals in 2000000 cliques
  185. Fri Mar 22 08:06:01 2019 commencing in-memory singleton removal
  186. Fri Mar 22 08:06:02 2019 begin with 69266134 relations and 47026858 unique ideals
  187. Fri Mar 22 08:06:18 2019 reduce to 68904657 relations and 42694403 ideals in 9 passes
  188. Fri Mar 22 08:06:18 2019 max relations containing the same ideal: 17
  189. Fri Mar 22 08:06:31 2019 removing 6063216 relations and 4063216 ideals in 2000000 cliques
  190. Fri Mar 22 08:06:32 2019 commencing in-memory singleton removal
  191. Fri Mar 22 08:06:33 2019 begin with 62841441 relations and 42694403 unique ideals
  192. Fri Mar 22 08:06:45 2019 reduce to 62486673 relations and 38267193 ideals in 8 passes
  193. Fri Mar 22 08:06:45 2019 max relations containing the same ideal: 16
  194. Fri Mar 22 08:06:57 2019 removing 1426068 relations and 941411 ideals in 484657 cliques
  195. Fri Mar 22 08:06:58 2019 commencing in-memory singleton removal
  196. Fri Mar 22 08:06:59 2019 begin with 61060605 relations and 38267193 unique ideals
  197. Fri Mar 22 08:07:10 2019 reduce to 61000422 relations and 37264998 ideals in 8 passes
  198. Fri Mar 22 08:07:10 2019 max relations containing the same ideal: 16
  199. Fri Mar 22 08:07:23 2019 relations with 0 large ideals: 6072861
  200. Fri Mar 22 08:07:23 2019 relations with 1 large ideals: 21678577
  201. Fri Mar 22 08:07:23 2019 relations with 2 large ideals: 23541712
  202. Fri Mar 22 08:07:23 2019 relations with 3 large ideals: 8453097
  203. Fri Mar 22 08:07:23 2019 relations with 4 large ideals: 1116436
  204. Fri Mar 22 08:07:23 2019 relations with 5 large ideals: 128418
  205. Fri Mar 22 08:07:23 2019 relations with 6 large ideals: 9221
  206. Fri Mar 22 08:07:23 2019 relations with 7+ large ideals: 100
  207. Fri Mar 22 08:07:23 2019 commencing 2-way merge
  208. Fri Mar 22 08:07:38 2019 reduce to 36865790 relation sets and 13130366 unique ideals
  209. Fri Mar 22 08:07:38 2019 commencing full merge
  210. Fri Mar 22 08:08:34 2019 memory use: 1403.3 MB
  211. Fri Mar 22 08:08:37 2019 found 23728227 cycles, need 20461254
  212. Fri Mar 22 08:08:41 2019 weight of 20461254 cycles is about 1062389898 (51.92/cycle)
  213. Fri Mar 22 08:08:42 2019 distribution of cycle lengths:
  214. Fri Mar 22 08:08:42 2019 1 relations: 6072861
  215. Fri Mar 22 08:08:42 2019 2 relations: 2970999
  216. Fri Mar 22 08:08:42 2019 3 relations: 2336436
  217. Fri Mar 22 08:08:42 2019 4 relations: 2073035
  218. Fri Mar 22 08:08:42 2019 5 relations: 1882995
  219. Fri Mar 22 08:08:42 2019 6 relations: 1631717
  220. Fri Mar 22 08:08:42 2019 7 relations: 1396913
  221. Fri Mar 22 08:08:42 2019 8 relations: 1090733
  222. Fri Mar 22 08:08:42 2019 9 relations: 854257
  223. Fri Mar 22 08:08:42 2019 10+ relations: 151308
  224. Fri Mar 22 08:08:42 2019 heaviest cycle: 12 relations
  225. Fri Mar 22 08:08:42 2019 matrix not dense enough, retrying
  226. Fri Mar 22 08:08:44 2019 reading large ideals from disk
  227. Fri Mar 22 08:10:22 2019 keeping 176622868 ideals with weight <= 25, target excess is 16275939
  228. Fri Mar 22 08:12:02 2019 memory use: 7116.0 MB
  229. Fri Mar 22 08:12:02 2019 commencing in-memory singleton removal
  230. Fri Mar 22 08:12:09 2019 begin with 252540855 relations and 176622868 unique ideals
  231. Fri Mar 22 08:13:23 2019 reduce to 252518528 relations and 176600541 ideals in 8 passes
  232. Fri Mar 22 08:13:23 2019 max relations containing the same ideal: 25
  233. Fri Mar 22 08:14:14 2019 removing 11696902 relations and 9696902 ideals in 2000000 cliques
  234. Fri Mar 22 08:14:18 2019 commencing in-memory singleton removal
  235. Fri Mar 22 08:14:24 2019 begin with 240821626 relations and 176600541 unique ideals
  236. Fri Mar 22 08:15:34 2019 reduce to 240386416 relations and 166463697 ideals in 8 passes
  237. Fri Mar 22 08:15:34 2019 max relations containing the same ideal: 25
  238. Fri Mar 22 08:16:22 2019 removing 8743320 relations and 6743320 ideals in 2000000 cliques
  239. Fri Mar 22 08:16:26 2019 commencing in-memory singleton removal
  240. Fri Mar 22 08:16:32 2019 begin with 231643096 relations and 166463697 unique ideals
  241. Fri Mar 22 08:17:29 2019 reduce to 231355312 relations and 159429947 ideals in 7 passes
  242. Fri Mar 22 08:17:29 2019 max relations containing the same ideal: 25
  243. Fri Mar 22 08:18:16 2019 removing 7862343 relations and 5862343 ideals in 2000000 cliques
  244. Fri Mar 22 08:18:19 2019 commencing in-memory singleton removal
  245. Fri Mar 22 08:18:25 2019 begin with 223492969 relations and 159429947 unique ideals
  246. Fri Mar 22 08:19:20 2019 reduce to 223248752 relations and 153321233 ideals in 7 passes
  247. Fri Mar 22 08:19:20 2019 max relations containing the same ideal: 25
  248. Fri Mar 22 08:20:04 2019 removing 7371298 relations and 5371298 ideals in 2000000 cliques
  249. Fri Mar 22 08:20:07 2019 commencing in-memory singleton removal
  250. Fri Mar 22 08:20:13 2019 begin with 215877454 relations and 153321233 unique ideals
  251. Fri Mar 22 08:21:05 2019 reduce to 215654128 relations and 147724573 ideals in 7 passes
  252. Fri Mar 22 08:21:05 2019 max relations containing the same ideal: 25
  253. Fri Mar 22 08:21:48 2019 removing 7067249 relations and 5067249 ideals in 2000000 cliques
  254. Fri Mar 22 08:21:51 2019 commencing in-memory singleton removal
  255. Fri Mar 22 08:21:57 2019 begin with 208586879 relations and 147724573 unique ideals
  256. Fri Mar 22 08:22:47 2019 reduce to 208375771 relations and 142444202 ideals in 7 passes
  257. Fri Mar 22 08:22:47 2019 max relations containing the same ideal: 25
  258. Fri Mar 22 08:23:28 2019 removing 6850137 relations and 4850137 ideals in 2000000 cliques
  259. Fri Mar 22 08:23:31 2019 commencing in-memory singleton removal
  260. Fri Mar 22 08:23:36 2019 begin with 201525634 relations and 142444202 unique ideals
  261. Fri Mar 22 08:24:18 2019 reduce to 201324348 relations and 137390895 ideals in 6 passes
  262. Fri Mar 22 08:24:18 2019 max relations containing the same ideal: 25
  263. Fri Mar 22 08:24:58 2019 removing 6671298 relations and 4671298 ideals in 2000000 cliques
  264. Fri Mar 22 08:25:01 2019 commencing in-memory singleton removal
  265. Fri Mar 22 08:25:06 2019 begin with 194653050 relations and 137390895 unique ideals
  266. Fri Mar 22 08:25:52 2019 reduce to 194455392 relations and 132519969 ideals in 7 passes
  267. Fri Mar 22 08:25:52 2019 max relations containing the same ideal: 25
  268. Fri Mar 22 08:26:30 2019 removing 6567465 relations and 4567465 ideals in 2000000 cliques
  269. Fri Mar 22 08:26:33 2019 commencing in-memory singleton removal
  270. Fri Mar 22 08:26:38 2019 begin with 187887927 relations and 132519969 unique ideals
  271. Fri Mar 22 08:27:22 2019 reduce to 187698237 relations and 127760869 ideals in 7 passes
  272. Fri Mar 22 08:27:22 2019 max relations containing the same ideal: 25
  273. Fri Mar 22 08:28:04 2019 removing 6468175 relations and 4468175 ideals in 2000000 cliques
  274. Fri Mar 22 08:28:07 2019 commencing in-memory singleton removal
  275. Fri Mar 22 08:28:12 2019 begin with 181230062 relations and 127760869 unique ideals
  276. Fri Mar 22 08:29:00 2019 reduce to 181042417 relations and 123102959 ideals in 7 passes
  277. Fri Mar 22 08:29:00 2019 max relations containing the same ideal: 25
  278. Fri Mar 22 08:29:41 2019 removing 6341578 relations and 4341578 ideals in 2000000 cliques
  279. Fri Mar 22 08:29:44 2019 commencing in-memory singleton removal
  280. Fri Mar 22 08:29:49 2019 begin with 174700839 relations and 123102959 unique ideals
  281. Fri Mar 22 08:30:29 2019 reduce to 174509096 relations and 118567478 ideals in 6 passes
  282. Fri Mar 22 08:30:29 2019 max relations containing the same ideal: 25
  283. Fri Mar 22 08:31:08 2019 removing 6303943 relations and 4303943 ideals in 2000000 cliques
  284. Fri Mar 22 08:31:11 2019 commencing in-memory singleton removal
  285. Fri Mar 22 08:31:16 2019 begin with 168205153 relations and 118567478 unique ideals
  286. Fri Mar 22 08:31:53 2019 reduce to 168017059 relations and 114073258 ideals in 6 passes
  287. Fri Mar 22 08:31:53 2019 max relations containing the same ideal: 25
  288. Fri Mar 22 08:32:31 2019 removing 6210969 relations and 4210969 ideals in 2000000 cliques
  289. Fri Mar 22 08:32:33 2019 commencing in-memory singleton removal
  290. Fri Mar 22 08:32:38 2019 begin with 161806090 relations and 114073258 unique ideals
  291. Fri Mar 22 08:33:20 2019 reduce to 161612661 relations and 109666464 ideals in 7 passes
  292. Fri Mar 22 08:33:20 2019 max relations containing the same ideal: 25
  293. Fri Mar 22 08:33:56 2019 removing 6210751 relations and 4210751 ideals in 2000000 cliques
  294. Fri Mar 22 08:33:58 2019 commencing in-memory singleton removal
  295. Fri Mar 22 08:34:03 2019 begin with 155401910 relations and 109666464 unique ideals
  296. Fri Mar 22 08:34:42 2019 reduce to 155211850 relations and 105263399 ideals in 7 passes
  297. Fri Mar 22 08:34:42 2019 max relations containing the same ideal: 25
  298. Fri Mar 22 08:35:17 2019 removing 6113401 relations and 4113401 ideals in 2000000 cliques
  299. Fri Mar 22 08:35:19 2019 commencing in-memory singleton removal
  300. Fri Mar 22 08:35:23 2019 begin with 149098449 relations and 105263399 unique ideals
  301. Fri Mar 22 08:36:01 2019 reduce to 148899257 relations and 100948159 ideals in 7 passes
  302. Fri Mar 22 08:36:01 2019 max relations containing the same ideal: 25
  303. Fri Mar 22 08:36:34 2019 removing 6093425 relations and 4093425 ideals in 2000000 cliques
  304. Fri Mar 22 08:36:36 2019 commencing in-memory singleton removal
  305. Fri Mar 22 08:36:40 2019 begin with 142805832 relations and 100948159 unique ideals
  306. Fri Mar 22 08:37:15 2019 reduce to 142601514 relations and 96647530 ideals in 7 passes
  307. Fri Mar 22 08:37:15 2019 max relations containing the same ideal: 25
  308. Fri Mar 22 08:37:47 2019 removing 6102292 relations and 4102292 ideals in 2000000 cliques
  309. Fri Mar 22 08:37:50 2019 commencing in-memory singleton removal
  310. Fri Mar 22 08:37:53 2019 begin with 136499222 relations and 96647530 unique ideals
  311. Fri Mar 22 08:38:22 2019 reduce to 136297165 relations and 92340265 ideals in 6 passes
  312. Fri Mar 22 08:38:22 2019 max relations containing the same ideal: 24
  313. Fri Mar 22 08:38:54 2019 removing 6020716 relations and 4020716 ideals in 2000000 cliques
  314. Fri Mar 22 08:38:57 2019 commencing in-memory singleton removal
  315. Fri Mar 22 08:39:01 2019 begin with 130276449 relations and 92340265 unique ideals
  316. Fri Mar 22 08:39:35 2019 reduce to 130067410 relations and 88107280 ideals in 7 passes
  317. Fri Mar 22 08:39:35 2019 max relations containing the same ideal: 24
  318. Fri Mar 22 08:40:05 2019 removing 6052746 relations and 4052746 ideals in 2000000 cliques
  319. Fri Mar 22 08:40:07 2019 commencing in-memory singleton removal
  320. Fri Mar 22 08:40:11 2019 begin with 124014664 relations and 88107280 unique ideals
  321. Fri Mar 22 08:40:43 2019 reduce to 123807013 relations and 83843510 ideals in 7 passes
  322. Fri Mar 22 08:40:43 2019 max relations containing the same ideal: 24
  323. Fri Mar 22 08:41:11 2019 removing 5959307 relations and 3959307 ideals in 2000000 cliques
  324. Fri Mar 22 08:41:14 2019 commencing in-memory singleton removal
  325. Fri Mar 22 08:41:17 2019 begin with 117847706 relations and 83843510 unique ideals
  326. Fri Mar 22 08:41:47 2019 reduce to 117611828 relations and 79644396 ideals in 7 passes
  327. Fri Mar 22 08:41:47 2019 max relations containing the same ideal: 24
  328. Fri Mar 22 08:42:14 2019 removing 5975385 relations and 3975385 ideals in 2000000 cliques
  329. Fri Mar 22 08:42:16 2019 commencing in-memory singleton removal
  330. Fri Mar 22 08:42:20 2019 begin with 111636443 relations and 79644396 unique ideals
  331. Fri Mar 22 08:42:48 2019 reduce to 111392309 relations and 75420513 ideals in 7 passes
  332. Fri Mar 22 08:42:48 2019 max relations containing the same ideal: 24
  333. Fri Mar 22 08:43:13 2019 removing 5967404 relations and 3967404 ideals in 2000000 cliques
  334. Fri Mar 22 08:43:15 2019 commencing in-memory singleton removal
  335. Fri Mar 22 08:43:18 2019 begin with 105424905 relations and 75420513 unique ideals
  336. Fri Mar 22 08:43:45 2019 reduce to 105179301 relations and 71202918 ideals in 7 passes
  337. Fri Mar 22 08:43:45 2019 max relations containing the same ideal: 23
  338. Fri Mar 22 08:44:08 2019 removing 6011135 relations and 4011135 ideals in 2000000 cliques
  339. Fri Mar 22 08:44:10 2019 commencing in-memory singleton removal
  340. Fri Mar 22 08:44:13 2019 begin with 99168166 relations and 71202918 unique ideals
  341. Fri Mar 22 08:44:37 2019 reduce to 98917996 relations and 66936459 ideals in 7 passes
  342. Fri Mar 22 08:44:37 2019 max relations containing the same ideal: 23
  343. Fri Mar 22 08:45:00 2019 removing 5975115 relations and 3975115 ideals in 2000000 cliques
  344. Fri Mar 22 08:45:01 2019 commencing in-memory singleton removal
  345. Fri Mar 22 08:45:04 2019 begin with 92942881 relations and 66936459 unique ideals
  346. Fri Mar 22 08:45:30 2019 reduce to 92677624 relations and 62690535 ideals in 8 passes
  347. Fri Mar 22 08:45:30 2019 max relations containing the same ideal: 22
  348. Fri Mar 22 08:45:50 2019 removing 5984126 relations and 3984126 ideals in 2000000 cliques
  349. Fri Mar 22 08:45:52 2019 commencing in-memory singleton removal
  350. Fri Mar 22 08:45:55 2019 begin with 86693498 relations and 62690535 unique ideals
  351. Fri Mar 22 08:46:18 2019 reduce to 86406533 relations and 58413095 ideals in 8 passes
  352. Fri Mar 22 08:46:18 2019 max relations containing the same ideal: 21
  353. Fri Mar 22 08:46:37 2019 removing 5993069 relations and 3993069 ideals in 2000000 cliques
  354. Fri Mar 22 08:46:39 2019 commencing in-memory singleton removal
  355. Fri Mar 22 08:46:41 2019 begin with 80413464 relations and 58413095 unique ideals
  356. Fri Mar 22 08:47:05 2019 reduce to 80103113 relations and 54102611 ideals in 9 passes
  357. Fri Mar 22 08:47:05 2019 max relations containing the same ideal: 21
  358. Fri Mar 22 08:47:23 2019 removing 5951242 relations and 3951242 ideals in 2000000 cliques
  359. Fri Mar 22 08:47:25 2019 commencing in-memory singleton removal
  360. Fri Mar 22 08:47:27 2019 begin with 74151871 relations and 54102611 unique ideals
  361. Fri Mar 22 08:47:46 2019 reduce to 73783657 relations and 49773964 ideals in 8 passes
  362. Fri Mar 22 08:47:46 2019 max relations containing the same ideal: 20
  363. Fri Mar 22 08:48:02 2019 removing 6045209 relations and 4045209 ideals in 2000000 cliques
  364. Fri Mar 22 08:48:04 2019 commencing in-memory singleton removal
  365. Fri Mar 22 08:48:06 2019 begin with 67738448 relations and 49773964 unique ideals
  366. Fri Mar 22 08:48:25 2019 reduce to 67364069 relations and 45344389 ideals in 9 passes
  367. Fri Mar 22 08:48:25 2019 max relations containing the same ideal: 19
  368. Fri Mar 22 08:48:40 2019 removing 6095654 relations and 4095654 ideals in 2000000 cliques
  369. Fri Mar 22 08:48:41 2019 commencing in-memory singleton removal
  370. Fri Mar 22 08:48:43 2019 begin with 61268415 relations and 45344389 unique ideals
  371. Fri Mar 22 08:48:58 2019 reduce to 60846723 relations and 40814835 ideals in 8 passes
  372. Fri Mar 22 08:48:58 2019 max relations containing the same ideal: 18
  373. Fri Mar 22 08:49:11 2019 removing 3584089 relations and 2432291 ideals in 1151798 cliques
  374. Fri Mar 22 08:49:13 2019 commencing in-memory singleton removal
  375. Fri Mar 22 08:49:14 2019 begin with 57262634 relations and 40814835 unique ideals
  376. Fri Mar 22 08:49:26 2019 reduce to 57025958 relations and 38140405 ideals in 7 passes
  377. Fri Mar 22 08:49:26 2019 max relations containing the same ideal: 18
  378. Fri Mar 22 08:49:41 2019 relations with 0 large ideals: 3452699
  379. Fri Mar 22 08:49:41 2019 relations with 1 large ideals: 14684948
  380. Fri Mar 22 08:49:41 2019 relations with 2 large ideals: 21734116
  381. Fri Mar 22 08:49:41 2019 relations with 3 large ideals: 13067002
  382. Fri Mar 22 08:49:41 2019 relations with 4 large ideals: 3488416
  383. Fri Mar 22 08:49:41 2019 relations with 5 large ideals: 537533
  384. Fri Mar 22 08:49:41 2019 relations with 6 large ideals: 59828
  385. Fri Mar 22 08:49:41 2019 relations with 7+ large ideals: 1416
  386. Fri Mar 22 08:49:41 2019 commencing 2-way merge
  387. Fri Mar 22 08:49:56 2019 reduce to 35257902 relation sets and 16372349 unique ideals
  388. Fri Mar 22 08:49:56 2019 commencing full merge
  389. Fri Mar 22 08:51:56 2019 memory use: 1637.6 MB
  390. Fri Mar 22 08:51:58 2019 found 17972141 cycles, need 16295639
  391. Fri Mar 22 08:52:01 2019 weight of 16295639 cycles is about 1732118652 (106.29/cycle)
  392. Fri Mar 22 08:52:02 2019 distribution of cycle lengths:
  393. Fri Mar 22 08:52:02 2019 1 relations: 3452699
  394. Fri Mar 22 08:52:02 2019 2 relations: 1483031
  395. Fri Mar 22 08:52:02 2019 3 relations: 1081458
  396. Fri Mar 22 08:52:02 2019 4 relations: 918320
  397. Fri Mar 22 08:52:02 2019 5 relations: 853503
  398. Fri Mar 22 08:52:02 2019 6 relations: 808325
  399. Fri Mar 22 08:52:02 2019 7 relations: 781600
  400. Fri Mar 22 08:52:02 2019 8 relations: 749613
  401. Fri Mar 22 08:52:02 2019 9 relations: 723314
  402. Fri Mar 22 08:52:02 2019 10+ relations: 5443776
  403. Fri Mar 22 08:52:02 2019 heaviest cycle: 24 relations
  404. Fri Mar 22 08:52:02 2019 commencing cycle optimization
  405. Fri Mar 22 08:52:21 2019 start with 118264073 relations
  406. Fri Mar 22 08:54:40 2019 pruned 13846854 relations
  407. Fri Mar 22 08:54:40 2019 memory use: 3057.1 MB
  408. Fri Mar 22 08:54:40 2019 distribution of cycle lengths:
  409. Fri Mar 22 08:54:40 2019 1 relations: 3452699
  410. Fri Mar 22 08:54:40 2019 2 relations: 1545553
  411. Fri Mar 22 08:54:40 2019 3 relations: 1162301
  412. Fri Mar 22 08:54:40 2019 4 relations: 1011813
  413. Fri Mar 22 08:54:40 2019 5 relations: 973909
  414. Fri Mar 22 08:54:40 2019 6 relations: 949241
  415. Fri Mar 22 08:54:40 2019 7 relations: 942280
  416. Fri Mar 22 08:54:40 2019 8 relations: 912991
  417. Fri Mar 22 08:54:40 2019 9 relations: 883095
  418. Fri Mar 22 08:54:40 2019 10+ relations: 4461757
  419. Fri Mar 22 08:54:40 2019 heaviest cycle: 24 relations
  420. Fri Mar 22 08:54:58 2019 RelProcTime: 11310
  421. Fri Mar 22 08:55:02 2019
  422. Fri Mar 22 08:55:02 2019 commencing linear algebra
  423. Fri Mar 22 08:55:03 2019 read 16295639 cycles
  424. Fri Mar 22 08:55:24 2019 cycles contain 48163717 unique relations
  425. Fri Mar 22 08:59:07 2019 read 48163717 relations
  426. Fri Mar 22 09:00:09 2019 using 20 quadratic characters above 4294917295
  427. Fri Mar 22 09:02:55 2019 building initial matrix
  428. Fri Mar 22 09:09:23 2019 memory use: 6174.4 MB
  429. Fri Mar 22 09:09:28 2019 read 16295639 cycles
  430. Fri Mar 22 09:09:30 2019 matrix is 16292436 x 16295639 (6198.2 MB) with weight 1781803476 (109.34/col)
  431. Fri Mar 22 09:09:30 2019 sparse part has weight 1445568474 (88.71/col)
  432. Fri Mar 22 09:13:47 2019 filtering completed in 3 passes
  433. Fri Mar 22 09:13:50 2019 matrix is 16224906 x 16225106 (6183.1 MB) with weight 1777268232 (109.54/col)
  434. Fri Mar 22 09:13:50 2019 sparse part has weight 1442379744 (88.90/col)
  435. Fri Mar 22 09:14:22 2019 matrix starts at (0, 0)
  436. Fri Mar 22 09:14:24 2019 matrix is 16224906 x 16225106 (6183.1 MB) with weight 1777268232 (109.54/col)
  437. Fri Mar 22 09:14:24 2019 sparse part has weight 1442379744 (88.90/col)
  438. Fri Mar 22 09:14:24 2019 saving the first 48 matrix rows for later
  439. Fri Mar 22 09:14:26 2019 matrix includes 64 packed rows
  440. Fri Mar 22 09:14:28 2019 matrix is 16224858 x 16225106 (5923.8 MB) with weight 1489564402 (91.81/col)
  441. Fri Mar 22 09:14:28 2019 sparse part has weight 1390638894 (85.71/col)
  442. Fri Mar 22 09:14:28 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  443. Fri Mar 22 09:15:08 2019 commencing Lanczos iteration (4 threads)
  444. Fri Mar 22 09:15:08 2019 memory use: 5769.5 MB
  445. Fri Mar 22 09:16:15 2019 linear algebra at 0.0%, ETA 190h15m
  446. Fri Mar 22 09:16:37 2019 checkpointing every 90000 dimensions
  447. Fri Mar 29 13:24:17 2019 lanczos halted after 256581 iterations (dim = 16224852)
  448. Fri Mar 29 13:24:30 2019 recovered 32 nontrivial dependencies
  449. Fri Mar 29 13:24:30 2019 BLanczosTime: 620968
  450. Fri Mar 29 13:24:30 2019
  451. Fri Mar 29 13:24:30 2019 commencing square root phase
  452. Fri Mar 29 13:24:30 2019 handling dependencies 1 to 64
  453. Fri Mar 29 13:24:30 2019 reading relations for dependency 1
  454. Fri Mar 29 13:24:32 2019 read 8110780 cycles
  455. Fri Mar 29 13:24:41 2019 cycles contain 24043294 unique relations
  456. Fri Mar 29 13:26:52 2019 read 24043294 relations
  457. Fri Mar 29 13:28:12 2019 multiplying 24043294 relations
  458. Fri Mar 29 13:39:14 2019 multiply complete, coefficients have about 650.37 million bits
  459. Fri Mar 29 13:39:17 2019 initial square root is modulo 683681
  460. Fri Mar 29 13:51:35 2019 sqrtTime: 1625
  461. Fri Mar 29 13:51:35 2019 p54 factor: 392885230626022337474134843895579500900837536034472419
  462. Fri Mar 29 13:51:35 2019 p177 factor: 661996674789898688096080018887447669840298243155848718729572256683560486164943183063917756283619110821586908564865557293492312391853662291179147885922042830757434745259430250293
  463. Fri Mar 29 13:51:35 2019 elapsed time 176:05:09
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