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Msieve log of 229__337_7m1

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Jun 6th, 2021
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  1. Sat Jun 05 19:39:07 2021
  2. Sat Jun 05 19:39:07 2021
  3. Sat Jun 05 19:39:07 2021 Msieve v. 1.53 (SVN 988)
  4. Sat Jun 05 19:39:07 2021 random seeds: 3476be20 e5950e6a
  5. Sat Jun 05 19:39:07 2021 factoring 100265123764109616040291533095842677749870360736007955026360943314373854842031590678590432769990674552965699513598309179689814423726973891159977002181829529966511365632813273 (174 digits)
  6. Sat Jun 05 19:39:08 2021 searching for 15-digit factors
  7. Sat Jun 05 19:39:08 2021 commencing number field sieve (174-digit input)
  8. Sat Jun 05 19:39:08 2021 R0: 22997058678794290833044141354201238337
  9. Sat Jun 05 19:39:08 2021 R1: -1
  10. Sat Jun 05 19:39:08 2021 A0: 1
  11. Sat Jun 05 19:39:08 2021 A1: 1
  12. Sat Jun 05 19:39:08 2021 A2: 1
  13. Sat Jun 05 19:39:08 2021 A3: 1
  14. Sat Jun 05 19:39:08 2021 A4: 1
  15. Sat Jun 05 19:39:08 2021 A5: 1
  16. Sat Jun 05 19:39:08 2021 A6: 1
  17. Sat Jun 05 19:39:08 2021 skew 1.00, size 4.113e-011, alpha 2.428, combined = 1.777e-012 rroots = 0
  18. Sat Jun 05 19:39:08 2021
  19. Sat Jun 05 19:39:08 2021 commencing relation filtering
  20. Sat Jun 05 19:39:08 2021 setting target matrix density to 100.0
  21. Sat Jun 05 19:39:08 2021 estimated available RAM is 16151.1 MB
  22. Sat Jun 05 19:39:08 2021 commencing duplicate removal, pass 1
  23. Sat Jun 05 19:45:42 2021 error -9 reading relation 39502909
  24. Sat Jun 05 19:46:26 2021 error -5 reading relation 43590072
  25. Sat Jun 05 19:46:53 2021 error -5 reading relation 46664331
  26. Sat Jun 05 19:47:09 2021 error -5 reading relation 48564219
  27. Sat Jun 05 19:49:54 2021 error -9 reading relation 64997427
  28. Sat Jun 05 19:49:55 2021 error -1 reading relation 65078041
  29. Sat Jun 05 19:50:00 2021 error -15 reading relation 65491597
  30. Sat Jun 05 19:50:00 2021 error -9 reading relation 65508277
  31. Sat Jun 05 19:50:00 2021 error -9 reading relation 65514387
  32. Sat Jun 05 19:50:21 2021 error -15 reading relation 67439234
  33. Sat Jun 05 19:50:59 2021 error -15 reading relation 71594598
  34. Sat Jun 05 19:51:15 2021 error -9 reading relation 73474279
  35. Sat Jun 05 19:51:16 2021 error -15 reading relation 73678954
  36. Sat Jun 05 19:51:44 2021 error -15 reading relation 76234354
  37. Sat Jun 05 19:51:53 2021 error -15 reading relation 77010417
  38. Sat Jun 05 19:52:12 2021 error -9 reading relation 78750244
  39. Sat Jun 05 19:52:48 2021 error -9 reading relation 82733665
  40. Sat Jun 05 19:55:21 2021 error -5 reading relation 98243948
  41. Sat Jun 05 19:55:32 2021 error -15 reading relation 99203514
  42. Sat Jun 05 19:56:16 2021 error -9 reading relation 103429018
  43. Sat Jun 05 19:56:57 2021 error -1 reading relation 108109563
  44. Sat Jun 05 19:57:01 2021 error -9 reading relation 108456392
  45. Sat Jun 05 19:57:01 2021 error -15 reading relation 108491148
  46. Sat Jun 05 19:57:09 2021 error -9 reading relation 109189230
  47. Sat Jun 05 19:57:11 2021 error -9 reading relation 109373237
  48. Sat Jun 05 19:57:38 2021 error -15 reading relation 111901022
  49. Sat Jun 05 19:57:38 2021 error -15 reading relation 111920655
  50. Sat Jun 05 19:58:32 2021 error -15 reading relation 117240973
  51. Sat Jun 05 19:59:16 2021 error -9 reading relation 122131071
  52. Sat Jun 05 19:59:37 2021 error -15 reading relation 124258049
  53. Sat Jun 05 19:59:37 2021 error -1 reading relation 124263221
  54. Sat Jun 05 19:59:55 2021 error -15 reading relation 125938160
  55. Sat Jun 05 20:00:02 2021 error -9 reading relation 126549650
  56. Sat Jun 05 20:00:02 2021 error -15 reading relation 126588810
  57. Sat Jun 05 20:00:08 2021 error -9 reading relation 127054481
  58. Sat Jun 05 20:00:33 2021 error -9 reading relation 129422651
  59. Sat Jun 05 20:00:38 2021 error -9 reading relation 130002704
  60. Sat Jun 05 20:01:23 2021 skipped 8 relations with b > 2^32
  61. Sat Jun 05 20:01:23 2021 skipped 29 relations with composite factors
  62. Sat Jun 05 20:01:23 2021 found 21757546 hash collisions in 134861380 relations
  63. Sat Jun 05 20:01:33 2021 added 2438534 free relations
  64. Sat Jun 05 20:01:33 2021 commencing duplicate removal, pass 2
  65. Sat Jun 05 20:03:25 2021 found 21240078 duplicates and 116059836 unique relations
  66. Sat Jun 05 20:03:25 2021 memory use: 788.8 MB
  67. Sat Jun 05 20:03:25 2021 reading ideals above 69926912
  68. Sat Jun 05 20:03:25 2021 commencing singleton removal, initial pass
  69. Sat Jun 05 20:18:36 2021 memory use: 2756.0 MB
  70. Sat Jun 05 20:18:36 2021 reading all ideals from disk
  71. Sat Jun 05 20:18:40 2021 memory use: 1996.3 MB
  72. Sat Jun 05 20:18:46 2021 commencing in-memory singleton removal
  73. Sat Jun 05 20:18:52 2021 begin with 116059836 relations and 85778880 unique ideals
  74. Sat Jun 05 20:19:57 2021 reduce to 86154217 relations and 53494203 ideals in 13 passes
  75. Sat Jun 05 20:19:57 2021 max relations containing the same ideal: 51
  76. Sat Jun 05 20:20:04 2021 reading ideals above 720000
  77. Sat Jun 05 20:20:04 2021 commencing singleton removal, initial pass
  78. Sat Jun 05 20:33:29 2021 memory use: 1506.0 MB
  79. Sat Jun 05 20:33:30 2021 reading all ideals from disk
  80. Sat Jun 05 20:33:35 2021 memory use: 3200.1 MB
  81. Sat Jun 05 20:33:48 2021 keeping 61281465 ideals with weight <= 200, target excess is 440651
  82. Sat Jun 05 20:34:03 2021 commencing in-memory singleton removal
  83. Sat Jun 05 20:34:13 2021 begin with 86154218 relations and 61281465 unique ideals
  84. Sat Jun 05 20:34:43 2021 reduce to 86154207 relations and 61281454 ideals in 3 passes
  85. Sat Jun 05 20:34:43 2021 max relations containing the same ideal: 200
  86. Sat Jun 05 20:35:30 2021 removing 7482474 relations and 5482474 ideals in 2000000 cliques
  87. Sat Jun 05 20:35:33 2021 commencing in-memory singleton removal
  88. Sat Jun 05 20:35:42 2021 begin with 78671733 relations and 61281454 unique ideals
  89. Sat Jun 05 20:36:45 2021 reduce to 78127215 relations and 55238996 ideals in 7 passes
  90. Sat Jun 05 20:36:45 2021 max relations containing the same ideal: 196
  91. Sat Jun 05 20:37:30 2021 removing 6109959 relations and 4109959 ideals in 2000000 cliques
  92. Sat Jun 05 20:37:32 2021 commencing in-memory singleton removal
  93. Sat Jun 05 20:37:41 2021 begin with 72017256 relations and 55238996 unique ideals
  94. Sat Jun 05 20:38:36 2021 reduce to 71643347 relations and 50745296 ideals in 7 passes
  95. Sat Jun 05 20:38:36 2021 max relations containing the same ideal: 189
  96. Sat Jun 05 20:39:19 2021 removing 5700506 relations and 3700506 ideals in 2000000 cliques
  97. Sat Jun 05 20:39:22 2021 commencing in-memory singleton removal
  98. Sat Jun 05 20:39:30 2021 begin with 65942841 relations and 50745296 unique ideals
  99. Sat Jun 05 20:40:15 2021 reduce to 65619069 relations and 46712239 ideals in 6 passes
  100. Sat Jun 05 20:40:15 2021 max relations containing the same ideal: 178
  101. Sat Jun 05 20:40:53 2021 removing 5487829 relations and 3487829 ideals in 2000000 cliques
  102. Sat Jun 05 20:40:56 2021 commencing in-memory singleton removal
  103. Sat Jun 05 20:41:04 2021 begin with 60131240 relations and 46712239 unique ideals
  104. Sat Jun 05 20:41:47 2021 reduce to 59824546 relations and 42909188 ideals in 6 passes
  105. Sat Jun 05 20:41:47 2021 max relations containing the same ideal: 167
  106. Sat Jun 05 20:42:23 2021 removing 5348569 relations and 3348569 ideals in 2000000 cliques
  107. Sat Jun 05 20:42:25 2021 commencing in-memory singleton removal
  108. Sat Jun 05 20:42:31 2021 begin with 54475977 relations and 42909188 unique ideals
  109. Sat Jun 05 20:43:16 2021 reduce to 54175411 relations and 39251052 ideals in 7 passes
  110. Sat Jun 05 20:43:16 2021 max relations containing the same ideal: 156
  111. Sat Jun 05 20:43:49 2021 removing 5258548 relations and 3258548 ideals in 2000000 cliques
  112. Sat Jun 05 20:43:51 2021 commencing in-memory singleton removal
  113. Sat Jun 05 20:43:57 2021 begin with 48916863 relations and 39251052 unique ideals
  114. Sat Jun 05 20:44:34 2021 reduce to 48611061 relations and 35676860 ideals in 7 passes
  115. Sat Jun 05 20:44:34 2021 max relations containing the same ideal: 148
  116. Sat Jun 05 20:45:04 2021 removing 5194303 relations and 3194303 ideals in 2000000 cliques
  117. Sat Jun 05 20:45:06 2021 commencing in-memory singleton removal
  118. Sat Jun 05 20:45:10 2021 begin with 43416758 relations and 35676860 unique ideals
  119. Sat Jun 05 20:45:40 2021 reduce to 43098193 relations and 32152617 ideals in 6 passes
  120. Sat Jun 05 20:45:40 2021 max relations containing the same ideal: 134
  121. Sat Jun 05 20:46:07 2021 removing 5149171 relations and 3149171 ideals in 2000000 cliques
  122. Sat Jun 05 20:46:08 2021 commencing in-memory singleton removal
  123. Sat Jun 05 20:46:13 2021 begin with 37949022 relations and 32152617 unique ideals
  124. Sat Jun 05 20:46:38 2021 reduce to 37608605 relations and 28649754 ideals in 6 passes
  125. Sat Jun 05 20:46:38 2021 max relations containing the same ideal: 120
  126. Sat Jun 05 20:47:01 2021 removing 5118503 relations and 3118503 ideals in 2000000 cliques
  127. Sat Jun 05 20:47:03 2021 commencing in-memory singleton removal
  128. Sat Jun 05 20:47:07 2021 begin with 32490102 relations and 28649754 unique ideals
  129. Sat Jun 05 20:47:28 2021 reduce to 32116431 relations and 25140964 ideals in 6 passes
  130. Sat Jun 05 20:47:28 2021 max relations containing the same ideal: 110
  131. Sat Jun 05 20:47:50 2021 removing 5094529 relations and 3094529 ideals in 2000000 cliques
  132. Sat Jun 05 20:47:51 2021 commencing in-memory singleton removal
  133. Sat Jun 05 20:47:54 2021 begin with 27021902 relations and 25140964 unique ideals
  134. Sat Jun 05 20:48:15 2021 reduce to 26602571 relations and 21606025 ideals in 7 passes
  135. Sat Jun 05 20:48:15 2021 max relations containing the same ideal: 95
  136. Sat Jun 05 20:48:31 2021 removing 5073664 relations and 3073664 ideals in 2000000 cliques
  137. Sat Jun 05 20:48:32 2021 commencing in-memory singleton removal
  138. Sat Jun 05 20:48:35 2021 begin with 21528907 relations and 21606025 unique ideals
  139. Sat Jun 05 20:48:49 2021 reduce to 21043763 relations and 18018063 ideals in 7 passes
  140. Sat Jun 05 20:48:49 2021 max relations containing the same ideal: 80
  141. Sat Jun 05 20:49:02 2021 removing 5042843 relations and 3042843 ideals in 2000000 cliques
  142. Sat Jun 05 20:49:03 2021 commencing in-memory singleton removal
  143. Sat Jun 05 20:49:05 2021 begin with 16000920 relations and 18018063 unique ideals
  144. Sat Jun 05 20:49:17 2021 reduce to 15398760 relations and 14327418 ideals in 8 passes
  145. Sat Jun 05 20:49:17 2021 max relations containing the same ideal: 68
  146. Sat Jun 05 20:49:27 2021 removing 1710194 relations and 1150008 ideals in 560186 cliques
  147. Sat Jun 05 20:49:28 2021 commencing in-memory singleton removal
  148. Sat Jun 05 20:49:30 2021 begin with 13688566 relations and 14327418 unique ideals
  149. Sat Jun 05 20:49:38 2021 reduce to 13503966 relations and 12985925 ideals in 7 passes
  150. Sat Jun 05 20:49:38 2021 max relations containing the same ideal: 61
  151. Sat Jun 05 20:49:48 2021 relations with 0 large ideals: 32739
  152. Sat Jun 05 20:49:48 2021 relations with 1 large ideals: 11255
  153. Sat Jun 05 20:49:48 2021 relations with 2 large ideals: 104169
  154. Sat Jun 05 20:49:48 2021 relations with 3 large ideals: 594554
  155. Sat Jun 05 20:49:49 2021 relations with 4 large ideals: 1799708
  156. Sat Jun 05 20:49:49 2021 relations with 5 large ideals: 3201778
  157. Sat Jun 05 20:49:49 2021 relations with 6 large ideals: 3512042
  158. Sat Jun 05 20:49:49 2021 relations with 7+ large ideals: 4247721
  159. Sat Jun 05 20:49:49 2021 commencing 2-way merge
  160. Sat Jun 05 20:50:00 2021 reduce to 9519228 relation sets and 9001187 unique ideals
  161. Sat Jun 05 20:50:00 2021 commencing full merge
  162. Sat Jun 05 20:54:27 2021 memory use: 1202.6 MB
  163. Sat Jun 05 20:54:30 2021 found 4517502 cycles, need 4459387
  164. Sat Jun 05 20:54:31 2021 weight of 4459387 cycles is about 446123839 (100.04/cycle)
  165. Sat Jun 05 20:54:31 2021 distribution of cycle lengths:
  166. Sat Jun 05 20:54:31 2021 1 relations: 175391
  167. Sat Jun 05 20:54:31 2021 2 relations: 276931
  168. Sat Jun 05 20:54:31 2021 3 relations: 356335
  169. Sat Jun 05 20:54:31 2021 4 relations: 388890
  170. Sat Jun 05 20:54:31 2021 5 relations: 405023
  171. Sat Jun 05 20:54:31 2021 6 relations: 401492
  172. Sat Jun 05 20:54:31 2021 7 relations: 381971
  173. Sat Jun 05 20:54:31 2021 8 relations: 351655
  174. Sat Jun 05 20:54:31 2021 9 relations: 313605
  175. Sat Jun 05 20:54:31 2021 10+ relations: 1408094
  176. Sat Jun 05 20:54:31 2021 heaviest cycle: 27 relations
  177. Sat Jun 05 20:54:34 2021 commencing cycle optimization
  178. Sat Jun 05 20:54:43 2021 start with 34911483 relations
  179. Sat Jun 05 20:56:29 2021 pruned 1689528 relations
  180. Sat Jun 05 20:56:29 2021 memory use: 923.1 MB
  181. Sat Jun 05 20:56:29 2021 distribution of cycle lengths:
  182. Sat Jun 05 20:56:29 2021 1 relations: 175391
  183. Sat Jun 05 20:56:29 2021 2 relations: 283875
  184. Sat Jun 05 20:56:29 2021 3 relations: 372483
  185. Sat Jun 05 20:56:29 2021 4 relations: 407240
  186. Sat Jun 05 20:56:29 2021 5 relations: 429325
  187. Sat Jun 05 20:56:29 2021 6 relations: 423960
  188. Sat Jun 05 20:56:29 2021 7 relations: 404458
  189. Sat Jun 05 20:56:29 2021 8 relations: 369745
  190. Sat Jun 05 20:56:29 2021 9 relations: 326078
  191. Sat Jun 05 20:56:30 2021 10+ relations: 1266832
  192. Sat Jun 05 20:56:30 2021 heaviest cycle: 26 relations
  193. Sat Jun 05 20:56:38 2021 RelProcTime: 4650
  194. Sat Jun 05 20:56:38 2021
  195. Sat Jun 05 20:56:38 2021 commencing linear algebra
  196. Sat Jun 05 20:56:39 2021 read 4459387 cycles
  197. Sat Jun 05 20:56:50 2021 cycles contain 13245019 unique relations
  198. Sat Jun 05 20:58:27 2021 read 13245019 relations
  199. Sat Jun 05 20:58:57 2021 using 20 quadratic characters above 4294917295
  200. Sat Jun 05 20:59:57 2021 building initial matrix
  201. Sat Jun 05 21:03:00 2021 memory use: 1635.1 MB
  202. Sat Jun 05 21:03:04 2021 read 4459387 cycles
  203. Sat Jun 05 21:03:05 2021 matrix is 4459209 x 4459387 (1779.6 MB) with weight 508861981 (114.11/col)
  204. Sat Jun 05 21:03:05 2021 sparse part has weight 417464774 (93.61/col)
  205. Sat Jun 05 21:04:00 2021 filtering completed in 2 passes
  206. Sat Jun 05 21:04:01 2021 matrix is 4458850 x 4459027 (1779.6 MB) with weight 508848547 (114.12/col)
  207. Sat Jun 05 21:04:01 2021 sparse part has weight 417458552 (93.62/col)
  208. Sat Jun 05 21:04:17 2021 matrix starts at (0, 0)
  209. Sat Jun 05 21:04:17 2021 matrix is 4458850 x 4459027 (1779.6 MB) with weight 508848547 (114.12/col)
  210. Sat Jun 05 21:04:17 2021 sparse part has weight 417458552 (93.62/col)
  211. Sat Jun 05 21:04:17 2021 saving the first 48 matrix rows for later
  212. Sat Jun 05 21:04:19 2021 matrix includes 64 packed rows
  213. Sat Jun 05 21:04:20 2021 matrix is 4458802 x 4459027 (1696.4 MB) with weight 430365536 (96.52/col)
  214. Sat Jun 05 21:04:20 2021 sparse part has weight 400101372 (89.73/col)
  215. Sat Jun 05 21:04:20 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  216. Sat Jun 05 21:04:39 2021 commencing Lanczos iteration (6 threads)
  217. Sat Jun 05 21:04:39 2021 memory use: 1418.7 MB
  218. Sat Jun 05 21:04:59 2021 linear algebra at 0.0%, ETA 15h28m
  219. Sat Jun 05 21:05:05 2021 checkpointing every 300000 dimensions
  220. Sun Jun 06 13:43:20 2021 lanczos halted after 70511 iterations (dim = 4458799)
  221. Sun Jun 06 13:43:25 2021 recovered 38 nontrivial dependencies
  222. Sun Jun 06 13:43:26 2021 BLanczosTime: 60408
  223. Sun Jun 06 13:43:26 2021
  224. Sun Jun 06 13:43:26 2021 commencing square root phase
  225. Sun Jun 06 13:43:26 2021 handling dependencies 1 to 64
  226. Sun Jun 06 13:43:26 2021 reading relations for dependency 1
  227. Sun Jun 06 13:43:27 2021 read 2229324 cycles
  228. Sun Jun 06 13:43:32 2021 cycles contain 6624034 unique relations
  229. Sun Jun 06 13:44:37 2021 read 6624034 relations
  230. Sun Jun 06 13:45:15 2021 multiplying 6624034 relations
  231. Sun Jun 06 13:49:08 2021 multiply complete, coefficients have about 160.87 million bits
  232. Sun Jun 06 13:49:09 2021 initial square root is modulo 593141
  233. Sun Jun 06 13:53:19 2021 sqrtTime: 593
  234. Sun Jun 06 13:53:19 2021 p60 factor: 167750002196457373104942765239189494767806682380727262856891
  235. Sun Jun 06 13:53:19 2021 p114 factor: 597705647995675937727103213452817345552528497490551853817265820053680630631810372235679959849113885270023900788603
  236. Sun Jun 06 13:53:19 2021 elapsed time 18:14:12
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