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May 29th, 2019
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  1. Sun May 26 16:21:31 2019
  2. Sun May 26 16:21:31 2019
  3. Sun May 26 16:21:31 2019 Msieve v. 1.54 (SVN 1025)
  4. Sun May 26 16:21:31 2019 random seeds: ecc74c7a 0843b438
  5. Sun May 26 16:21:31 2019 factoring 4134868896784727060179100671150816321182283269988437863523728953993187522327133700188925058761003700738677981071452168080380166456612985055613662942676979978418097058232109201329661 (181 digits)
  6. Sun May 26 16:21:32 2019 searching for 15-digit factors
  7. Sun May 26 16:21:32 2019 commencing number field sieve (181-digit input)
  8. Sun May 26 16:21:32 2019 R0: 10367793076318927266998475284838311626154217007985
  9. Sun May 26 16:21:32 2019 R1: -928074647171094496152036391094208962756608
  10. Sun May 26 16:21:32 2019 A0: -1
  11. Sun May 26 16:21:32 2019 A1: 3
  12. Sun May 26 16:21:32 2019 A2: 3
  13. Sun May 26 16:21:32 2019 A3: -4
  14. Sun May 26 16:21:32 2019 A4: -1
  15. Sun May 26 16:21:32 2019 A5: 1
  16. Sun May 26 16:21:32 2019 skew 1.00, size 1.167e-16, alpha 2.379, combined = 2.242e-13 rroots = 5
  17. Sun May 26 16:21:32 2019
  18. Sun May 26 16:21:32 2019 commencing relation filtering
  19. Sun May 26 16:21:32 2019 setting target matrix density to 124.0
  20. Sun May 26 16:21:32 2019 estimated available RAM is 15984.6 MB
  21. Sun May 26 16:21:32 2019 commencing duplicate removal, pass 1
  22. Sun May 26 16:29:21 2019 error -15 reading relation 70646550
  23. Sun May 26 16:39:00 2019 error -15 reading relation 157671878
  24. Sun May 26 16:45:06 2019 skipped 354 relations with b > 2^32
  25. Sun May 26 16:45:06 2019 found 9808990 hash collisions in 212043891 relations
  26. Sun May 26 16:45:06 2019 commencing duplicate removal, pass 2
  27. Sun May 26 16:46:01 2019 found 0 duplicates and 212043891 unique relations
  28. Sun May 26 16:46:01 2019 memory use: 522.4 MB
  29. Sun May 26 16:46:01 2019 reading ideals above 154599424
  30. Sun May 26 16:46:01 2019 commencing singleton removal, initial pass
  31. Sun May 26 17:02:56 2019 memory use: 3012.0 MB
  32. Sun May 26 17:02:56 2019 reading all ideals from disk
  33. Sun May 26 17:03:03 2019 memory use: 3793.5 MB
  34. Sun May 26 17:03:10 2019 commencing in-memory singleton removal
  35. Sun May 26 17:03:17 2019 begin with 212043891 relations and 162362415 unique ideals
  36. Sun May 26 17:04:35 2019 reduce to 150819424 relations and 95817897 ideals in 13 passes
  37. Sun May 26 17:04:35 2019 max relations containing the same ideal: 49
  38. Sun May 26 17:04:42 2019 reading ideals above 720000
  39. Sun May 26 17:04:42 2019 commencing singleton removal, initial pass
  40. Sun May 26 17:19:52 2019 memory use: 3012.0 MB
  41. Sun May 26 17:19:52 2019 reading all ideals from disk
  42. Sun May 26 17:20:07 2019 memory use: 5944.8 MB
  43. Sun May 26 17:20:22 2019 keeping 112414926 ideals with weight <= 200, target excess is 779800
  44. Sun May 26 17:20:38 2019 commencing in-memory singleton removal
  45. Sun May 26 17:20:50 2019 begin with 150819424 relations and 112414926 unique ideals
  46. Sun May 26 17:21:49 2019 reduce to 150818922 relations and 112414424 ideals in 5 passes
  47. Sun May 26 17:21:49 2019 max relations containing the same ideal: 200
  48. Sun May 26 17:22:44 2019 removing 9705137 relations and 7705137 ideals in 2000000 cliques
  49. Sun May 26 17:22:47 2019 commencing in-memory singleton removal
  50. Sun May 26 17:22:58 2019 begin with 141113785 relations and 112414424 unique ideals
  51. Sun May 26 17:24:15 2019 reduce to 140652712 relations and 104240496 ideals in 7 passes
  52. Sun May 26 17:24:15 2019 max relations containing the same ideal: 199
  53. Sun May 26 17:25:06 2019 removing 7418313 relations and 5418313 ideals in 2000000 cliques
  54. Sun May 26 17:25:09 2019 commencing in-memory singleton removal
  55. Sun May 26 17:25:19 2019 begin with 133234399 relations and 104240496 unique ideals
  56. Sun May 26 17:26:42 2019 reduce to 132925415 relations and 98508659 ideals in 8 passes
  57. Sun May 26 17:26:42 2019 max relations containing the same ideal: 193
  58. Sun May 26 17:27:29 2019 removing 6750147 relations and 4750147 ideals in 2000000 cliques
  59. Sun May 26 17:27:32 2019 commencing in-memory singleton removal
  60. Sun May 26 17:27:42 2019 begin with 126175268 relations and 98508659 unique ideals
  61. Sun May 26 17:28:50 2019 reduce to 125909229 relations and 93488571 ideals in 7 passes
  62. Sun May 26 17:28:50 2019 max relations containing the same ideal: 188
  63. Sun May 26 17:29:35 2019 removing 6403655 relations and 4403655 ideals in 2000000 cliques
  64. Sun May 26 17:29:37 2019 commencing in-memory singleton removal
  65. Sun May 26 17:29:46 2019 begin with 119505574 relations and 93488571 unique ideals
  66. Sun May 26 17:30:41 2019 reduce to 119262499 relations and 88838211 ideals in 6 passes
  67. Sun May 26 17:30:41 2019 max relations containing the same ideal: 181
  68. Sun May 26 17:31:24 2019 removing 6179373 relations and 4179373 ideals in 2000000 cliques
  69. Sun May 26 17:31:26 2019 commencing in-memory singleton removal
  70. Sun May 26 17:31:34 2019 begin with 113083126 relations and 88838211 unique ideals
  71. Sun May 26 17:32:26 2019 reduce to 112853802 relations and 84425897 ideals in 6 passes
  72. Sun May 26 17:32:26 2019 max relations containing the same ideal: 174
  73. Sun May 26 17:33:06 2019 removing 6018929 relations and 4018929 ideals in 2000000 cliques
  74. Sun May 26 17:33:08 2019 commencing in-memory singleton removal
  75. Sun May 26 17:33:16 2019 begin with 106834873 relations and 84425897 unique ideals
  76. Sun May 26 17:34:04 2019 reduce to 106613599 relations and 80182008 ideals in 6 passes
  77. Sun May 26 17:34:04 2019 max relations containing the same ideal: 169
  78. Sun May 26 17:34:42 2019 removing 5894052 relations and 3894052 ideals in 2000000 cliques
  79. Sun May 26 17:34:44 2019 commencing in-memory singleton removal
  80. Sun May 26 17:34:52 2019 begin with 100719547 relations and 80182008 unique ideals
  81. Sun May 26 17:35:37 2019 reduce to 100501180 relations and 76065816 ideals in 6 passes
  82. Sun May 26 17:35:37 2019 max relations containing the same ideal: 166
  83. Sun May 26 17:36:12 2019 removing 5801495 relations and 3801495 ideals in 2000000 cliques
  84. Sun May 26 17:36:14 2019 commencing in-memory singleton removal
  85. Sun May 26 17:36:21 2019 begin with 94699685 relations and 76065816 unique ideals
  86. Sun May 26 17:37:02 2019 reduce to 94480573 relations and 72041278 ideals in 6 passes
  87. Sun May 26 17:37:02 2019 max relations containing the same ideal: 159
  88. Sun May 26 17:37:36 2019 removing 5722227 relations and 3722227 ideals in 2000000 cliques
  89. Sun May 26 17:37:38 2019 commencing in-memory singleton removal
  90. Sun May 26 17:37:44 2019 begin with 88758346 relations and 72041278 unique ideals
  91. Sun May 26 17:38:22 2019 reduce to 88539174 relations and 68095693 ideals in 6 passes
  92. Sun May 26 17:38:22 2019 max relations containing the same ideal: 154
  93. Sun May 26 17:38:53 2019 removing 5662087 relations and 3662087 ideals in 2000000 cliques
  94. Sun May 26 17:38:55 2019 commencing in-memory singleton removal
  95. Sun May 26 17:39:01 2019 begin with 82877087 relations and 68095693 unique ideals
  96. Sun May 26 17:39:36 2019 reduce to 82653229 relations and 64205118 ideals in 6 passes
  97. Sun May 26 17:39:36 2019 max relations containing the same ideal: 144
  98. Sun May 26 17:40:05 2019 removing 5611147 relations and 3611147 ideals in 2000000 cliques
  99. Sun May 26 17:40:07 2019 commencing in-memory singleton removal
  100. Sun May 26 17:40:13 2019 begin with 77042082 relations and 64205118 unique ideals
  101. Sun May 26 17:40:45 2019 reduce to 76813620 relations and 60360651 ideals in 6 passes
  102. Sun May 26 17:40:45 2019 max relations containing the same ideal: 138
  103. Sun May 26 17:41:12 2019 removing 5568359 relations and 3568359 ideals in 2000000 cliques
  104. Sun May 26 17:41:14 2019 commencing in-memory singleton removal
  105. Sun May 26 17:41:19 2019 begin with 71245261 relations and 60360651 unique ideals
  106. Sun May 26 17:41:48 2019 reduce to 71007578 relations and 56549104 ideals in 6 passes
  107. Sun May 26 17:41:48 2019 max relations containing the same ideal: 130
  108. Sun May 26 17:42:13 2019 removing 5531508 relations and 3531508 ideals in 2000000 cliques
  109. Sun May 26 17:42:15 2019 commencing in-memory singleton removal
  110. Sun May 26 17:42:19 2019 begin with 65476070 relations and 56549104 unique ideals
  111. Sun May 26 17:42:47 2019 reduce to 65225547 relations and 52760905 ideals in 6 passes
  112. Sun May 26 17:42:47 2019 max relations containing the same ideal: 124
  113. Sun May 26 17:43:09 2019 removing 5506476 relations and 3506476 ideals in 2000000 cliques
  114. Sun May 26 17:43:11 2019 commencing in-memory singleton removal
  115. Sun May 26 17:43:15 2019 begin with 59719071 relations and 52760905 unique ideals
  116. Sun May 26 17:43:40 2019 reduce to 59451857 relations and 48980128 ideals in 6 passes
  117. Sun May 26 17:43:40 2019 max relations containing the same ideal: 116
  118. Sun May 26 17:44:00 2019 removing 5489431 relations and 3489431 ideals in 2000000 cliques
  119. Sun May 26 17:44:01 2019 commencing in-memory singleton removal
  120. Sun May 26 17:44:05 2019 begin with 53962426 relations and 48980128 unique ideals
  121. Sun May 26 17:44:27 2019 reduce to 53674190 relations and 45194138 ideals in 6 passes
  122. Sun May 26 17:44:27 2019 max relations containing the same ideal: 104
  123. Sun May 26 17:44:45 2019 removing 5482508 relations and 3482508 ideals in 2000000 cliques
  124. Sun May 26 17:44:47 2019 commencing in-memory singleton removal
  125. Sun May 26 17:44:50 2019 begin with 48191682 relations and 45194138 unique ideals
  126. Sun May 26 17:45:10 2019 reduce to 47868459 relations and 41378013 ideals in 6 passes
  127. Sun May 26 17:45:10 2019 max relations containing the same ideal: 99
  128. Sun May 26 17:45:26 2019 removing 5491822 relations and 3491822 ideals in 2000000 cliques
  129. Sun May 26 17:45:27 2019 commencing in-memory singleton removal
  130. Sun May 26 17:45:29 2019 begin with 42376637 relations and 41378013 unique ideals
  131. Sun May 26 17:45:44 2019 reduce to 42003762 relations and 37500216 ideals in 6 passes
  132. Sun May 26 17:45:44 2019 max relations containing the same ideal: 91
  133. Sun May 26 17:45:56 2019 removing 5534074 relations and 3534074 ideals in 2000000 cliques
  134. Sun May 26 17:45:58 2019 commencing in-memory singleton removal
  135. Sun May 26 17:46:00 2019 begin with 36469688 relations and 37500216 unique ideals
  136. Sun May 26 17:46:14 2019 reduce to 36016407 relations and 33494571 ideals in 8 passes
  137. Sun May 26 17:46:14 2019 max relations containing the same ideal: 82
  138. Sun May 26 17:46:25 2019 removing 4691391 relations and 3074123 ideals in 1617268 cliques
  139. Sun May 26 17:46:26 2019 commencing in-memory singleton removal
  140. Sun May 26 17:46:27 2019 begin with 31325016 relations and 33494571 unique ideals
  141. Sun May 26 17:46:38 2019 reduce to 30889674 relations and 29968174 ideals in 7 passes
  142. Sun May 26 17:46:38 2019 max relations containing the same ideal: 74
  143. Sun May 26 17:46:47 2019 removing 100632 relations and 83700 ideals in 16932 cliques
  144. Sun May 26 17:46:48 2019 commencing in-memory singleton removal
  145. Sun May 26 17:46:49 2019 begin with 30789042 relations and 29968174 unique ideals
  146. Sun May 26 17:46:55 2019 reduce to 30788786 relations and 29884218 ideals in 4 passes
  147. Sun May 26 17:46:55 2019 max relations containing the same ideal: 74
  148. Sun May 26 17:47:00 2019 relations with 0 large ideals: 59542
  149. Sun May 26 17:47:00 2019 relations with 1 large ideals: 15284
  150. Sun May 26 17:47:00 2019 relations with 2 large ideals: 190368
  151. Sun May 26 17:47:00 2019 relations with 3 large ideals: 1128335
  152. Sun May 26 17:47:00 2019 relations with 4 large ideals: 3598516
  153. Sun May 26 17:47:00 2019 relations with 5 large ideals: 6822155
  154. Sun May 26 17:47:00 2019 relations with 6 large ideals: 9039506
  155. Sun May 26 17:47:00 2019 relations with 7+ large ideals: 9935080
  156. Sun May 26 17:47:00 2019 commencing 2-way merge
  157. Sun May 26 17:47:12 2019 reduce to 21593577 relation sets and 20689009 unique ideals
  158. Sun May 26 17:47:12 2019 commencing full merge
  159. Sun May 26 17:53:27 2019 memory use: 2638.2 MB
  160. Sun May 26 17:53:30 2019 found 9411666 cycles, need 9409209
  161. Sun May 26 17:53:32 2019 weight of 9409209 cycles is about 1167333576 (124.06/cycle)
  162. Sun May 26 17:53:32 2019 distribution of cycle lengths:
  163. Sun May 26 17:53:32 2019 1 relations: 288058
  164. Sun May 26 17:53:32 2019 2 relations: 427437
  165. Sun May 26 17:53:32 2019 3 relations: 554055
  166. Sun May 26 17:53:32 2019 4 relations: 617039
  167. Sun May 26 17:53:32 2019 5 relations: 661883
  168. Sun May 26 17:53:32 2019 6 relations: 681683
  169. Sun May 26 17:53:32 2019 7 relations: 682964
  170. Sun May 26 17:53:32 2019 8 relations: 663163
  171. Sun May 26 17:53:32 2019 9 relations: 631360
  172. Sun May 26 17:53:32 2019 10+ relations: 4201567
  173. Sun May 26 17:53:32 2019 heaviest cycle: 28 relations
  174. Sun May 26 17:53:33 2019 commencing cycle optimization
  175. Sun May 26 17:53:49 2019 start with 90556296 relations
  176. Sun May 26 17:56:37 2019 pruned 5161242 relations
  177. Sun May 26 17:56:37 2019 memory use: 2211.0 MB
  178. Sun May 26 17:56:37 2019 distribution of cycle lengths:
  179. Sun May 26 17:56:37 2019 1 relations: 288058
  180. Sun May 26 17:56:37 2019 2 relations: 439096
  181. Sun May 26 17:56:37 2019 3 relations: 579700
  182. Sun May 26 17:56:37 2019 4 relations: 648375
  183. Sun May 26 17:56:37 2019 5 relations: 703628
  184. Sun May 26 17:56:37 2019 6 relations: 725268
  185. Sun May 26 17:56:37 2019 7 relations: 731277
  186. Sun May 26 17:56:37 2019 8 relations: 707135
  187. Sun May 26 17:56:37 2019 9 relations: 673443
  188. Sun May 26 17:56:37 2019 10+ relations: 3913229
  189. Sun May 26 17:56:37 2019 heaviest cycle: 28 relations
  190. Sun May 26 17:56:52 2019 RelProcTime: 5720
  191. Sun May 26 17:56:52 2019
  192. Sun May 26 17:56:52 2019 commencing linear algebra
  193. Sun May 26 17:56:53 2019 read 9409209 cycles
  194. Sun May 26 17:57:09 2019 cycles contain 30378277 unique relations
  195. Sun May 26 17:59:31 2019 read 30378277 relations
  196. Sun May 26 18:00:13 2019 using 20 quadratic characters above 4294917295
  197. Sun May 26 18:01:55 2019 building initial matrix
  198. Sun May 26 18:06:36 2019 memory use: 3792.6 MB
  199. Sun May 26 18:06:39 2019 read 9409209 cycles
  200. Sun May 26 18:06:41 2019 matrix is 9409032 x 9409209 (4503.7 MB) with weight 1284816218 (136.55/col)
  201. Sun May 26 18:06:41 2019 sparse part has weight 1077103848 (114.47/col)
  202. Sun May 26 18:08:21 2019 filtering completed in 2 passes
  203. Sun May 26 18:08:23 2019 matrix is 9408992 x 9409169 (4503.6 MB) with weight 1284815166 (136.55/col)
  204. Sun May 26 18:08:23 2019 sparse part has weight 1077103604 (114.47/col)
  205. Sun May 26 18:08:45 2019 matrix starts at (0, 0)
  206. Sun May 26 18:08:47 2019 matrix is 9408992 x 9409169 (4503.6 MB) with weight 1284815166 (136.55/col)
  207. Sun May 26 18:08:47 2019 sparse part has weight 1077103604 (114.47/col)
  208. Sun May 26 18:08:47 2019 saving the first 48 matrix rows for later
  209. Sun May 26 18:08:48 2019 matrix includes 64 packed rows
  210. Sun May 26 18:08:49 2019 matrix is 9408944 x 9409169 (4319.6 MB) with weight 1110931426 (118.07/col)
  211. Sun May 26 18:08:49 2019 sparse part has weight 1038260388 (110.35/col)
  212. Sun May 26 18:08:49 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  213. Sun May 26 18:09:18 2019 commencing Lanczos iteration (4 threads)
  214. Sun May 26 18:09:18 2019 memory use: 4123.6 MB
  215. Sun May 26 18:09:55 2019 linear algebra at 0.0%, ETA 61h48m
  216. Sun May 26 18:10:07 2019 checkpointing every 160000 dimensions
  217. Wed May 29 01:55:35 2019 lanczos halted after 148791 iterations (dim = 9408941)
  218. Wed May 29 01:55:51 2019 recovered 34 nontrivial dependencies
  219. Wed May 29 01:55:51 2019 BLanczosTime: 201539
  220. Wed May 29 01:55:51 2019
  221. Wed May 29 01:55:51 2019 commencing square root phase
  222. Wed May 29 01:55:51 2019 handling dependencies 1 to 64
  223. Wed May 29 01:55:51 2019 reading relations for dependency 1
  224. Wed May 29 01:55:52 2019 read 4705775 cycles
  225. Wed May 29 01:55:59 2019 cycles contain 15188310 unique relations
  226. Wed May 29 01:57:23 2019 read 15188310 relations
  227. Wed May 29 01:58:07 2019 multiplying 15188310 relations
  228. Wed May 29 02:03:56 2019 multiply complete, coefficients have about 385.41 million bits
  229. Wed May 29 02:03:57 2019 initial square root is modulo 8231747
  230. Wed May 29 02:10:41 2019 sqrtTime: 890
  231. Wed May 29 02:10:41 2019 p58 factor: 2022260770073844209836360706501022480849432133178426577181
  232. Wed May 29 02:10:41 2019 p124 factor: 2044676412643726232258552936114391493264604182716836080609049288471058758434284082305287748163282927150523141307401269738081
  233. Wed May 29 02:10:41 2019 elapsed time 57:49:10
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