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5p4_409

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Aug 24th, 2019
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  1. Fri Aug 23 10:16:40 2019
  2. Fri Aug 23 10:16:40 2019
  3. Fri Aug 23 10:16:40 2019 Msieve v. 1.53 (SVN 988M)
  4. Fri Aug 23 10:16:40 2019 random seeds: e6f0fca5 0565f504
  5. Fri Aug 23 10:16:40 2019 factoring 198820959796808478191964407268809339726993714536375993533457280029590026284022211662063217700105707775845791916986411015274503506421209324289883169756280673151207884163 (168 digits)
  6. Fri Aug 23 10:16:40 2019 searching for 15-digit factors
  7. Fri Aug 23 10:16:41 2019 commencing number field sieve (168-digit input)
  8. Fri Aug 23 10:16:41 2019 R0: -92735831507131638662554627641349
  9. Fri Aug 23 10:16:41 2019 R1: 2385200456512909177
  10. Fri Aug 23 10:16:41 2019 A0: 5827241971002268122909613756186195297620
  11. Fri Aug 23 10:16:41 2019 A1: 8733225888297824956036720533930156
  12. Fri Aug 23 10:16:41 2019 A2: -2256808066227207426434272845
  13. Fri Aug 23 10:16:41 2019 A3: -1507246815087622789561
  14. Fri Aug 23 10:16:41 2019 A4: 178392905665805
  15. Fri Aug 23 10:16:41 2019 A5: 28988400
  16. Fri Aug 23 10:16:41 2019 skew 3987721.11, size 2.294e-16, alpha -7.737, combined = 4.690e-13 rroots = 5
  17. Fri Aug 23 10:16:41 2019
  18. Fri Aug 23 10:16:41 2019 commencing relation filtering
  19. Fri Aug 23 10:16:41 2019 setting target matrix density to 130.0
  20. Fri Aug 23 10:16:41 2019 estimated available RAM is 32768.0 MB
  21. Fri Aug 23 10:16:41 2019 commencing duplicate removal, pass 1
  22. Fri Aug 23 10:29:02 2019 error -1 reading relation 121154635
  23. Fri Aug 23 10:35:20 2019 error -6 reading relation 182522267
  24. Fri Aug 23 10:36:15 2019 error -15 reading relation 191557933
  25. Fri Aug 23 10:37:34 2019 error -15 reading relation 204339437
  26. Fri Aug 23 10:37:46 2019 skipped 5 relations with composite factors
  27. Fri Aug 23 10:37:46 2019 found 9303159 hash collisions in 206264199 relations
  28. Fri Aug 23 10:38:08 2019 added 121109 free relations
  29. Fri Aug 23 10:38:08 2019 commencing duplicate removal, pass 2
  30. Fri Aug 23 10:38:54 2019 found 5 duplicates and 206385303 unique relations
  31. Fri Aug 23 10:38:54 2019 memory use: 522.4 MB
  32. Fri Aug 23 10:38:54 2019 reading ideals above 159973376
  33. Fri Aug 23 10:38:54 2019 commencing singleton removal, initial pass
  34. Fri Aug 23 10:53:51 2019 memory use: 3012.0 MB
  35. Fri Aug 23 10:53:52 2019 reading all ideals from disk
  36. Fri Aug 23 10:53:54 2019 memory use: 3370.8 MB
  37. Fri Aug 23 10:54:00 2019 commencing in-memory singleton removal
  38. Fri Aug 23 10:54:06 2019 begin with 206385303 relations and 158456397 unique ideals
  39. Fri Aug 23 10:55:12 2019 reduce to 142353079 relations and 88515912 ideals in 11 passes
  40. Fri Aug 23 10:55:12 2019 max relations containing the same ideal: 46
  41. Fri Aug 23 10:55:23 2019 reading ideals above 720000
  42. Fri Aug 23 10:55:23 2019 commencing singleton removal, initial pass
  43. Fri Aug 23 11:09:13 2019 memory use: 2756.0 MB
  44. Fri Aug 23 11:09:13 2019 reading all ideals from disk
  45. Fri Aug 23 11:09:17 2019 memory use: 5488.6 MB
  46. Fri Aug 23 11:09:28 2019 keeping 105729267 ideals with weight <= 200, target excess is 732205
  47. Fri Aug 23 11:09:41 2019 commencing in-memory singleton removal
  48. Fri Aug 23 11:09:50 2019 begin with 142353079 relations and 105729267 unique ideals
  49. Fri Aug 23 11:11:03 2019 reduce to 142335723 relations and 105711911 ideals in 7 passes
  50. Fri Aug 23 11:11:03 2019 max relations containing the same ideal: 200
  51. Fri Aug 23 11:11:53 2019 removing 9773298 relations and 7773298 ideals in 2000000 cliques
  52. Fri Aug 23 11:11:57 2019 commencing in-memory singleton removal
  53. Fri Aug 23 11:12:05 2019 begin with 132562425 relations and 105711911 unique ideals
  54. Fri Aug 23 11:13:23 2019 reduce to 132065346 relations and 97432690 ideals in 8 passes
  55. Fri Aug 23 11:13:23 2019 max relations containing the same ideal: 198
  56. Fri Aug 23 11:14:10 2019 removing 7459003 relations and 5459003 ideals in 2000000 cliques
  57. Fri Aug 23 11:14:12 2019 commencing in-memory singleton removal
  58. Fri Aug 23 11:14:21 2019 begin with 124606343 relations and 97432690 unique ideals
  59. Fri Aug 23 11:15:24 2019 reduce to 124272148 relations and 91634155 ideals in 7 passes
  60. Fri Aug 23 11:15:24 2019 max relations containing the same ideal: 196
  61. Fri Aug 23 11:16:08 2019 removing 6792921 relations and 4792921 ideals in 2000000 cliques
  62. Fri Aug 23 11:16:11 2019 commencing in-memory singleton removal
  63. Fri Aug 23 11:16:18 2019 begin with 117479227 relations and 91634155 unique ideals
  64. Fri Aug 23 11:17:10 2019 reduce to 117189941 relations and 86547496 ideals in 6 passes
  65. Fri Aug 23 11:17:10 2019 max relations containing the same ideal: 188
  66. Fri Aug 23 11:17:52 2019 removing 6447960 relations and 4447960 ideals in 2000000 cliques
  67. Fri Aug 23 11:17:54 2019 commencing in-memory singleton removal
  68. Fri Aug 23 11:18:01 2019 begin with 110741981 relations and 86547496 unique ideals
  69. Fri Aug 23 11:18:49 2019 reduce to 110475295 relations and 81828556 ideals in 6 passes
  70. Fri Aug 23 11:18:49 2019 max relations containing the same ideal: 182
  71. Fri Aug 23 11:19:29 2019 removing 6230405 relations and 4230405 ideals in 2000000 cliques
  72. Fri Aug 23 11:19:31 2019 commencing in-memory singleton removal
  73. Fri Aug 23 11:19:38 2019 begin with 104244890 relations and 81828556 unique ideals
  74. Fri Aug 23 11:20:23 2019 reduce to 103990308 relations and 77339239 ideals in 6 passes
  75. Fri Aug 23 11:20:23 2019 max relations containing the same ideal: 174
  76. Fri Aug 23 11:21:00 2019 removing 6075701 relations and 4075701 ideals in 2000000 cliques
  77. Fri Aug 23 11:21:03 2019 commencing in-memory singleton removal
  78. Fri Aug 23 11:21:09 2019 begin with 97914607 relations and 77339239 unique ideals
  79. Fri Aug 23 11:21:51 2019 reduce to 97666077 relations and 73010579 ideals in 6 passes
  80. Fri Aug 23 11:21:51 2019 max relations containing the same ideal: 168
  81. Fri Aug 23 11:22:26 2019 removing 5962374 relations and 3962374 ideals in 2000000 cliques
  82. Fri Aug 23 11:22:28 2019 commencing in-memory singleton removal
  83. Fri Aug 23 11:22:34 2019 begin with 91703703 relations and 73010579 unique ideals
  84. Fri Aug 23 11:23:13 2019 reduce to 91455613 relations and 68795486 ideals in 6 passes
  85. Fri Aug 23 11:23:13 2019 max relations containing the same ideal: 163
  86. Fri Aug 23 11:23:47 2019 removing 5874395 relations and 3874395 ideals in 2000000 cliques
  87. Fri Aug 23 11:23:49 2019 commencing in-memory singleton removal
  88. Fri Aug 23 11:23:54 2019 begin with 85581218 relations and 68795486 unique ideals
  89. Fri Aug 23 11:24:31 2019 reduce to 85331613 relations and 64666639 ideals in 6 passes
  90. Fri Aug 23 11:24:31 2019 max relations containing the same ideal: 154
  91. Fri Aug 23 11:25:02 2019 removing 5806207 relations and 3806207 ideals in 2000000 cliques
  92. Fri Aug 23 11:25:04 2019 commencing in-memory singleton removal
  93. Fri Aug 23 11:25:09 2019 begin with 79525406 relations and 64666639 unique ideals
  94. Fri Aug 23 11:25:43 2019 reduce to 79270712 relations and 60600412 ideals in 6 passes
  95. Fri Aug 23 11:25:43 2019 max relations containing the same ideal: 145
  96. Fri Aug 23 11:26:12 2019 removing 5752702 relations and 3752702 ideals in 2000000 cliques
  97. Fri Aug 23 11:26:14 2019 commencing in-memory singleton removal
  98. Fri Aug 23 11:26:18 2019 begin with 73518010 relations and 60600412 unique ideals
  99. Fri Aug 23 11:26:54 2019 reduce to 73256449 relations and 56580277 ideals in 7 passes
  100. Fri Aug 23 11:26:54 2019 max relations containing the same ideal: 142
  101. Fri Aug 23 11:27:21 2019 removing 5713605 relations and 3713605 ideals in 2000000 cliques
  102. Fri Aug 23 11:27:23 2019 commencing in-memory singleton removal
  103. Fri Aug 23 11:27:27 2019 begin with 67542844 relations and 56580277 unique ideals
  104. Fri Aug 23 11:27:55 2019 reduce to 67268220 relations and 52585324 ideals in 6 passes
  105. Fri Aug 23 11:27:55 2019 max relations containing the same ideal: 134
  106. Fri Aug 23 11:28:20 2019 removing 5687210 relations and 3687210 ideals in 2000000 cliques
  107. Fri Aug 23 11:28:22 2019 commencing in-memory singleton removal
  108. Fri Aug 23 11:28:25 2019 begin with 61581010 relations and 52585324 unique ideals
  109. Fri Aug 23 11:28:51 2019 reduce to 61293535 relations and 48603139 ideals in 6 passes
  110. Fri Aug 23 11:28:51 2019 max relations containing the same ideal: 127
  111. Fri Aug 23 11:29:13 2019 removing 5666442 relations and 3666442 ideals in 2000000 cliques
  112. Fri Aug 23 11:29:15 2019 commencing in-memory singleton removal
  113. Fri Aug 23 11:29:19 2019 begin with 55627093 relations and 48603139 unique ideals
  114. Fri Aug 23 11:29:41 2019 reduce to 55320023 relations and 44620966 ideals in 6 passes
  115. Fri Aug 23 11:29:41 2019 max relations containing the same ideal: 116
  116. Fri Aug 23 11:30:01 2019 removing 5650848 relations and 3650848 ideals in 2000000 cliques
  117. Fri Aug 23 11:30:03 2019 commencing in-memory singleton removal
  118. Fri Aug 23 11:30:06 2019 begin with 49669175 relations and 44620966 unique ideals
  119. Fri Aug 23 11:30:26 2019 reduce to 49336200 relations and 40626989 ideals in 6 passes
  120. Fri Aug 23 11:30:26 2019 max relations containing the same ideal: 107
  121. Fri Aug 23 11:30:44 2019 removing 5646632 relations and 3646632 ideals in 2000000 cliques
  122. Fri Aug 23 11:30:46 2019 commencing in-memory singleton removal
  123. Fri Aug 23 11:30:49 2019 begin with 43689568 relations and 40626989 unique ideals
  124. Fri Aug 23 11:31:06 2019 reduce to 43322802 relations and 36601069 ideals in 6 passes
  125. Fri Aug 23 11:31:06 2019 max relations containing the same ideal: 100
  126. Fri Aug 23 11:31:23 2019 removing 5651926 relations and 3651926 ideals in 2000000 cliques
  127. Fri Aug 23 11:31:24 2019 commencing in-memory singleton removal
  128. Fri Aug 23 11:31:26 2019 begin with 37670876 relations and 36601069 unique ideals
  129. Fri Aug 23 11:31:41 2019 reduce to 37253476 relations and 32515494 ideals in 6 passes
  130. Fri Aug 23 11:31:41 2019 max relations containing the same ideal: 87
  131. Fri Aug 23 11:31:55 2019 removing 5671934 relations and 3671934 ideals in 2000000 cliques
  132. Fri Aug 23 11:31:57 2019 commencing in-memory singleton removal
  133. Fri Aug 23 11:31:59 2019 begin with 31581542 relations and 32515494 unique ideals
  134. Fri Aug 23 11:32:15 2019 reduce to 31086312 relations and 28326377 ideals in 8 passes
  135. Fri Aug 23 11:32:15 2019 max relations containing the same ideal: 77
  136. Fri Aug 23 11:32:27 2019 removing 5493886 relations and 3583309 ideals in 1910577 cliques
  137. Fri Aug 23 11:32:28 2019 commencing in-memory singleton removal
  138. Fri Aug 23 11:32:30 2019 begin with 25592426 relations and 28326377 unique ideals
  139. Fri Aug 23 11:32:43 2019 reduce to 24994566 relations and 24114579 ideals in 8 passes
  140. Fri Aug 23 11:32:43 2019 max relations containing the same ideal: 66
  141. Fri Aug 23 11:32:52 2019 removing 179955 relations and 149326 ideals in 30629 cliques
  142. Fri Aug 23 11:32:53 2019 commencing in-memory singleton removal
  143. Fri Aug 23 11:32:54 2019 begin with 24814611 relations and 24114579 unique ideals
  144. Fri Aug 23 11:33:02 2019 reduce to 24813637 relations and 23964279 ideals in 5 passes
  145. Fri Aug 23 11:33:02 2019 max relations containing the same ideal: 66
  146. Fri Aug 23 11:33:05 2019 relations with 0 large ideals: 2451
  147. Fri Aug 23 11:33:05 2019 relations with 1 large ideals: 17262
  148. Fri Aug 23 11:33:05 2019 relations with 2 large ideals: 227473
  149. Fri Aug 23 11:33:05 2019 relations with 3 large ideals: 1269632
  150. Fri Aug 23 11:33:05 2019 relations with 4 large ideals: 3686641
  151. Fri Aug 23 11:33:05 2019 relations with 5 large ideals: 6267402
  152. Fri Aug 23 11:33:05 2019 relations with 6 large ideals: 6639239
  153. Fri Aug 23 11:33:05 2019 relations with 7+ large ideals: 6703537
  154. Fri Aug 23 11:33:05 2019 commencing 2-way merge
  155. Fri Aug 23 11:33:18 2019 reduce to 16742726 relation sets and 15893368 unique ideals
  156. Fri Aug 23 11:33:18 2019 commencing full merge
  157. Fri Aug 23 11:38:20 2019 memory use: 1971.8 MB
  158. Fri Aug 23 11:38:24 2019 found 7422451 cycles, need 7365568
  159. Fri Aug 23 11:38:24 2019 weight of 7365568 cycles is about 958193273 (130.09/cycle)
  160. Fri Aug 23 11:38:24 2019 distribution of cycle lengths:
  161. Fri Aug 23 11:38:24 2019 1 relations: 175385
  162. Fri Aug 23 11:38:24 2019 2 relations: 364271
  163. Fri Aug 23 11:38:24 2019 3 relations: 472236
  164. Fri Aug 23 11:38:24 2019 4 relations: 521176
  165. Fri Aug 23 11:38:24 2019 5 relations: 566924
  166. Fri Aug 23 11:38:24 2019 6 relations: 579509
  167. Fri Aug 23 11:38:24 2019 7 relations: 574151
  168. Fri Aug 23 11:38:24 2019 8 relations: 553841
  169. Fri Aug 23 11:38:24 2019 9 relations: 518737
  170. Fri Aug 23 11:38:24 2019 10+ relations: 3039338
  171. Fri Aug 23 11:38:24 2019 heaviest cycle: 28 relations
  172. Fri Aug 23 11:38:27 2019 commencing cycle optimization
  173. Fri Aug 23 11:38:43 2019 start with 67060627 relations
  174. Fri Aug 23 11:41:29 2019 pruned 3587887 relations
  175. Fri Aug 23 11:41:29 2019 memory use: 1718.8 MB
  176. Fri Aug 23 11:41:29 2019 distribution of cycle lengths:
  177. Fri Aug 23 11:41:29 2019 1 relations: 175385
  178. Fri Aug 23 11:41:29 2019 2 relations: 375774
  179. Fri Aug 23 11:41:29 2019 3 relations: 496221
  180. Fri Aug 23 11:41:29 2019 4 relations: 548640
  181. Fri Aug 23 11:41:29 2019 5 relations: 602939
  182. Fri Aug 23 11:41:29 2019 6 relations: 615855
  183. Fri Aug 23 11:41:29 2019 7 relations: 613049
  184. Fri Aug 23 11:41:29 2019 8 relations: 587704
  185. Fri Aug 23 11:41:29 2019 9 relations: 548155
  186. Fri Aug 23 11:41:29 2019 10+ relations: 2801846
  187. Fri Aug 23 11:41:29 2019 heaviest cycle: 28 relations
  188. Fri Aug 23 11:41:45 2019 RelProcTime: 5104
  189. Fri Aug 23 11:41:45 2019
  190. Fri Aug 23 11:41:45 2019 commencing linear algebra
  191. Fri Aug 23 11:41:46 2019 read 7365568 cycles
  192. Fri Aug 23 11:42:01 2019 cycles contain 24409955 unique relations
  193. Fri Aug 23 11:43:41 2019 read 24409955 relations
  194. Fri Aug 23 11:44:28 2019 using 20 quadratic characters above 4294917295
  195. Fri Aug 23 11:45:55 2019 building initial matrix
  196. Fri Aug 23 11:50:22 2019 memory use: 3452.7 MB
  197. Fri Aug 23 11:50:28 2019 read 7365568 cycles
  198. Fri Aug 23 11:50:29 2019 matrix is 7365391 x 7365568 (3688.1 MB) with weight 1128296372 (153.19/col)
  199. Fri Aug 23 11:50:29 2019 sparse part has weight 878428078 (119.26/col)
  200. Fri Aug 23 11:51:47 2019 filtering completed in 2 passes
  201. Fri Aug 23 11:51:48 2019 matrix is 7365216 x 7365393 (3688.1 MB) with weight 1128287414 (153.19/col)
  202. Fri Aug 23 11:51:48 2019 sparse part has weight 878425126 (119.26/col)
  203. Fri Aug 23 11:52:11 2019 matrix starts at (0, 0)
  204. Fri Aug 23 11:52:12 2019 matrix is 7365216 x 7365393 (3688.1 MB) with weight 1128287414 (153.19/col)
  205. Fri Aug 23 11:52:12 2019 sparse part has weight 878425126 (119.26/col)
  206. Fri Aug 23 11:52:12 2019 saving the first 48 matrix rows for later
  207. Fri Aug 23 11:52:13 2019 matrix includes 64 packed rows
  208. Fri Aug 23 11:52:14 2019 matrix is 7365168 x 7365393 (3601.9 MB) with weight 970533434 (131.77/col)
  209. Fri Aug 23 11:52:14 2019 sparse part has weight 870550452 (118.19/col)
  210. Fri Aug 23 11:52:14 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  211. Fri Aug 23 11:52:53 2019 commencing Lanczos iteration (8 threads)
  212. Fri Aug 23 11:52:53 2019 memory use: 2976.9 MB
  213. Fri Aug 23 11:53:07 2019 linear algebra at 0.0%, ETA 17h29m
  214. Fri Aug 23 11:53:12 2019 checkpointing every 410000 dimensions
  215. Sat Aug 24 06:24:28 2019 lanczos halted after 116478 iterations (dim = 7365168)
  216. Sat Aug 24 06:24:34 2019 recovered 32 nontrivial dependencies
  217. Sat Aug 24 06:24:35 2019 BLanczosTime: 67370
  218. Sat Aug 24 06:24:35 2019
  219. Sat Aug 24 06:24:35 2019 commencing square root phase
  220. Sat Aug 24 06:24:35 2019 handling dependencies 1 to 64
  221. Sat Aug 24 06:24:35 2019 reading relations for dependency 1
  222. Sat Aug 24 06:24:37 2019 read 3682700 cycles
  223. Sat Aug 24 06:24:44 2019 cycles contain 12204750 unique relations
  224. Sat Aug 24 06:25:41 2019 read 12204750 relations
  225. Sat Aug 24 06:26:32 2019 multiplying 12204750 relations
  226. Sat Aug 24 06:37:58 2019 multiply complete, coefficients have about 747.41 million bits
  227. Sat Aug 24 06:38:01 2019 initial square root is modulo 5074469
  228. Sat Aug 24 06:51:13 2019 sqrtTime: 1598
  229. Sat Aug 24 06:51:13 2019 p68 factor: 42437134609049308796329792170799646347824196516074322994160689476169
  230. Sat Aug 24 06:51:13 2019 p100 factor: 4685070319389844717255869028558094537532053205987862269740587846741766958697856511257963833009240427
  231. Sat Aug 24 06:51:13 2019 elapsed time 20:34:33
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