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Msieve log of C161_230916_6574

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Mar 6th, 2022
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  1. Sat Mar 05 15:52:19 2022
  2. Sat Mar 05 15:52:19 2022
  3. Sat Mar 05 15:52:19 2022 Msieve v. 1.53 (SVN 988)
  4. Sat Mar 05 15:52:19 2022 random seeds: f9c146ac 3c5f7e86
  5. Sat Mar 05 15:52:19 2022 factoring 50885602027293582531159246536345026124202322539498549182828422004697927209049706275218713804608173366411384205355130342788650226649830835811215727332743087336873 (161 digits)
  6. Sat Mar 05 15:52:20 2022 searching for 15-digit factors
  7. Sat Mar 05 15:52:20 2022 commencing number field sieve (161-digit input)
  8. Sat Mar 05 15:52:20 2022 R0: -32121691600316454068571196734111
  9. Sat Mar 05 15:52:20 2022 R1: 51150590774412347
  10. Sat Mar 05 15:52:20 2022 A0: -858402163079933662180958145558948537961900
  11. Sat Mar 05 15:52:20 2022 A1: -24975852424095255236865028815164908
  12. Sat Mar 05 15:52:20 2022 A2: 495439465756665310912468401
  13. Sat Mar 05 15:52:20 2022 A3: 433456452660935926
  14. Sat Mar 05 15:52:20 2022 A4: -117998414612
  15. Sat Mar 05 15:52:20 2022 A5: 1488
  16. Sat Mar 05 15:52:20 2022 skew 69091331.79, size 1.108e-015, alpha -7.446, combined = 1.201e-012 rroots = 3
  17. Sat Mar 05 15:52:20 2022
  18. Sat Mar 05 15:52:20 2022 commencing relation filtering
  19. Sat Mar 05 15:52:20 2022 setting target matrix density to 120.0
  20. Sat Mar 05 15:52:20 2022 estimated available RAM is 16151.1 MB
  21. Sat Mar 05 15:52:20 2022 commencing duplicate removal, pass 1
  22. Sat Mar 05 15:53:46 2022 error -9 reading relation 6629179
  23. Sat Mar 05 15:53:46 2022 error -9 reading relation 6633300
  24. Sat Mar 05 15:54:02 2022 error -5 reading relation 7808118
  25. Sat Mar 05 15:54:02 2022 error -15 reading relation 7809705
  26. Sat Mar 05 15:54:02 2022 error -15 reading relation 7812552
  27. Sat Mar 05 15:54:02 2022 error -1 reading relation 7813106
  28. Sat Mar 05 15:54:02 2022 error -1 reading relation 7817233
  29. Sat Mar 05 15:57:52 2022 error -9 reading relation 25489157
  30. Sat Mar 05 15:58:54 2022 error -15 reading relation 30367144
  31. Sat Mar 05 16:04:16 2022 error -15 reading relation 58250425
  32. Sat Mar 05 16:07:13 2022 error -1 reading relation 73021240
  33. Sat Mar 05 16:07:15 2022 error -15 reading relation 73180463
  34. Sat Mar 05 16:07:16 2022 error -1 reading relation 73272675
  35. Sat Mar 05 16:07:19 2022 error -9 reading relation 73476009
  36. Sat Mar 05 16:08:36 2022 error -9 reading relation 79475483
  37. Sat Mar 05 16:08:37 2022 error -9 reading relation 79584688
  38. Sat Mar 05 16:08:39 2022 error -9 reading relation 79715861
  39. Sat Mar 05 16:08:42 2022 error -15 reading relation 79918551
  40. Sat Mar 05 16:09:07 2022 error -15 reading relation 81843566
  41. Sat Mar 05 16:09:15 2022 error -9 reading relation 82439479
  42. Sat Mar 05 16:09:26 2022 error -9 reading relation 83268090
  43. Sat Mar 05 16:09:28 2022 error -9 reading relation 83456612
  44. Sat Mar 05 16:11:22 2022 error -9 reading relation 91992056
  45. Sat Mar 05 16:11:39 2022 error -15 reading relation 93246552
  46. Sat Mar 05 16:11:39 2022 error -9 reading relation 93258565
  47. Sat Mar 05 16:13:17 2022 error -15 reading relation 100711918
  48. Sat Mar 05 16:19:44 2022 error -9 reading relation 133438220
  49. Sat Mar 05 16:19:45 2022 error -9 reading relation 133559175
  50. Sat Mar 05 16:19:46 2022 error -9 reading relation 133590221
  51. Sat Mar 05 16:19:46 2022 error -9 reading relation 133619796
  52. Sat Mar 05 16:19:46 2022 error -9 reading relation 133620815
  53. Sat Mar 05 16:19:46 2022 error -5 reading relation 133647862
  54. Sat Mar 05 16:19:47 2022 error -5 reading relation 133736869
  55. Sat Mar 05 16:19:47 2022 error -9 reading relation 133737860
  56. Sat Mar 05 16:19:49 2022 skipped 24 relations with composite factors
  57. Sat Mar 05 16:19:49 2022 found 29372298 hash collisions in 133927613 relations
  58. Sat Mar 05 16:20:16 2022 added 121942 free relations
  59. Sat Mar 05 16:20:16 2022 commencing duplicate removal, pass 2
  60. Sat Mar 05 16:21:51 2022 found 29682068 duplicates and 104367487 unique relations
  61. Sat Mar 05 16:21:51 2022 memory use: 724.8 MB
  62. Sat Mar 05 16:21:51 2022 reading ideals above 79888384
  63. Sat Mar 05 16:21:51 2022 commencing singleton removal, initial pass
  64. Sat Mar 05 16:39:41 2022 memory use: 2756.0 MB
  65. Sat Mar 05 16:39:41 2022 reading all ideals from disk
  66. Sat Mar 05 16:39:47 2022 memory use: 1740.0 MB
  67. Sat Mar 05 16:40:03 2022 commencing in-memory singleton removal
  68. Sat Mar 05 16:40:17 2022 begin with 104367487 relations and 82339396 unique ideals
  69. Sat Mar 05 16:42:55 2022 reduce to 71199008 relations and 46073350 ideals in 12 passes
  70. Sat Mar 05 16:42:55 2022 max relations containing the same ideal: 43
  71. Sat Mar 05 16:43:08 2022 reading ideals above 720000
  72. Sat Mar 05 16:43:09 2022 commencing singleton removal, initial pass
  73. Sat Mar 05 16:55:46 2022 memory use: 1506.0 MB
  74. Sat Mar 05 16:55:46 2022 reading all ideals from disk
  75. Sat Mar 05 16:55:51 2022 memory use: 2632.3 MB
  76. Sat Mar 05 16:56:04 2022 keeping 55020750 ideals with weight <= 200, target excess is 377315
  77. Sat Mar 05 16:56:15 2022 commencing in-memory singleton removal
  78. Sat Mar 05 16:56:24 2022 begin with 71199009 relations and 55020750 unique ideals
  79. Sat Mar 05 16:57:28 2022 reduce to 71189263 relations and 55011004 ideals in 7 passes
  80. Sat Mar 05 16:57:28 2022 max relations containing the same ideal: 200
  81. Sat Mar 05 16:58:17 2022 removing 8414044 relations and 6414044 ideals in 2000000 cliques
  82. Sat Mar 05 16:58:20 2022 commencing in-memory singleton removal
  83. Sat Mar 05 16:58:29 2022 begin with 62775219 relations and 55011004 unique ideals
  84. Sat Mar 05 16:59:45 2022 reduce to 62011548 relations and 47807240 ideals in 9 passes
  85. Sat Mar 05 16:59:45 2022 max relations containing the same ideal: 194
  86. Sat Mar 05 17:00:26 2022 removing 6647072 relations and 4647072 ideals in 2000000 cliques
  87. Sat Mar 05 17:00:29 2022 commencing in-memory singleton removal
  88. Sat Mar 05 17:00:37 2022 begin with 55364476 relations and 47807240 unique ideals
  89. Sat Mar 05 17:01:35 2022 reduce to 54826098 relations and 42605092 ideals in 8 passes
  90. Sat Mar 05 17:01:35 2022 max relations containing the same ideal: 180
  91. Sat Mar 05 17:02:14 2022 removing 6179984 relations and 4179984 ideals in 2000000 cliques
  92. Sat Mar 05 17:02:16 2022 commencing in-memory singleton removal
  93. Sat Mar 05 17:02:22 2022 begin with 48646114 relations and 42605092 unique ideals
  94. Sat Mar 05 17:03:05 2022 reduce to 48154477 relations and 37917248 ideals in 7 passes
  95. Sat Mar 05 17:03:05 2022 max relations containing the same ideal: 164
  96. Sat Mar 05 17:03:41 2022 removing 5947140 relations and 3947140 ideals in 2000000 cliques
  97. Sat Mar 05 17:03:43 2022 commencing in-memory singleton removal
  98. Sat Mar 05 17:03:48 2022 begin with 42207337 relations and 37917248 unique ideals
  99. Sat Mar 05 17:04:25 2022 reduce to 41719882 relations and 33464667 ideals in 7 passes
  100. Sat Mar 05 17:04:25 2022 max relations containing the same ideal: 153
  101. Sat Mar 05 17:04:56 2022 removing 5817617 relations and 3817617 ideals in 2000000 cliques
  102. Sat Mar 05 17:04:58 2022 commencing in-memory singleton removal
  103. Sat Mar 05 17:05:03 2022 begin with 35902265 relations and 33464667 unique ideals
  104. Sat Mar 05 17:05:36 2022 reduce to 35388268 relations and 29112132 ideals in 7 passes
  105. Sat Mar 05 17:05:36 2022 max relations containing the same ideal: 133
  106. Sat Mar 05 17:06:03 2022 removing 5738634 relations and 3738634 ideals in 2000000 cliques
  107. Sat Mar 05 17:06:05 2022 commencing in-memory singleton removal
  108. Sat Mar 05 17:06:09 2022 begin with 29649634 relations and 29112132 unique ideals
  109. Sat Mar 05 17:06:34 2022 reduce to 29082706 relations and 24779534 ideals in 7 passes
  110. Sat Mar 05 17:06:34 2022 max relations containing the same ideal: 117
  111. Sat Mar 05 17:06:56 2022 removing 5694392 relations and 3694392 ideals in 2000000 cliques
  112. Sat Mar 05 17:06:58 2022 commencing in-memory singleton removal
  113. Sat Mar 05 17:07:01 2022 begin with 23388314 relations and 24779534 unique ideals
  114. Sat Mar 05 17:07:22 2022 reduce to 22724047 relations and 20382272 ideals in 7 passes
  115. Sat Mar 05 17:07:22 2022 max relations containing the same ideal: 100
  116. Sat Mar 05 17:07:41 2022 removing 5442873 relations and 3538784 ideals in 1904089 cliques
  117. Sat Mar 05 17:07:43 2022 commencing in-memory singleton removal
  118. Sat Mar 05 17:07:45 2022 begin with 17281174 relations and 20382272 unique ideals
  119. Sat Mar 05 17:08:03 2022 reduce to 16484098 relations and 15989926 ideals in 9 passes
  120. Sat Mar 05 17:08:03 2022 max relations containing the same ideal: 81
  121. Sat Mar 05 17:08:16 2022 removing 326616 relations and 270130 ideals in 56486 cliques
  122. Sat Mar 05 17:08:17 2022 commencing in-memory singleton removal
  123. Sat Mar 05 17:08:19 2022 begin with 16157482 relations and 15989926 unique ideals
  124. Sat Mar 05 17:08:27 2022 reduce to 16152872 relations and 15715171 ideals in 5 passes
  125. Sat Mar 05 17:08:27 2022 max relations containing the same ideal: 79
  126. Sat Mar 05 17:08:30 2022 relations with 0 large ideals: 1225
  127. Sat Mar 05 17:08:30 2022 relations with 1 large ideals: 5525
  128. Sat Mar 05 17:08:30 2022 relations with 2 large ideals: 82201
  129. Sat Mar 05 17:08:30 2022 relations with 3 large ideals: 530697
  130. Sat Mar 05 17:08:31 2022 relations with 4 large ideals: 1804118
  131. Sat Mar 05 17:08:31 2022 relations with 5 large ideals: 3592343
  132. Sat Mar 05 17:08:31 2022 relations with 6 large ideals: 4450789
  133. Sat Mar 05 17:08:31 2022 relations with 7+ large ideals: 5685974
  134. Sat Mar 05 17:08:31 2022 commencing 2-way merge
  135. Sat Mar 05 17:08:47 2022 reduce to 10673336 relation sets and 10235635 unique ideals
  136. Sat Mar 05 17:08:47 2022 commencing full merge
  137. Sat Mar 05 17:14:20 2022 memory use: 1283.0 MB
  138. Sat Mar 05 17:14:25 2022 found 4796166 cycles, need 4767835
  139. Sat Mar 05 17:14:25 2022 weight of 4767835 cycles is about 572848138 (120.15/cycle)
  140. Sat Mar 05 17:14:25 2022 distribution of cycle lengths:
  141. Sat Mar 05 17:14:25 2022 1 relations: 149004
  142. Sat Mar 05 17:14:25 2022 2 relations: 266001
  143. Sat Mar 05 17:14:25 2022 3 relations: 335703
  144. Sat Mar 05 17:14:25 2022 4 relations: 360372
  145. Sat Mar 05 17:14:25 2022 5 relations: 380066
  146. Sat Mar 05 17:14:25 2022 6 relations: 381948
  147. Sat Mar 05 17:14:25 2022 7 relations: 376267
  148. Sat Mar 05 17:14:25 2022 8 relations: 353414
  149. Sat Mar 05 17:14:25 2022 9 relations: 326192
  150. Sat Mar 05 17:14:25 2022 10+ relations: 1838868
  151. Sat Mar 05 17:14:25 2022 heaviest cycle: 28 relations
  152. Sat Mar 05 17:14:30 2022 commencing cycle optimization
  153. Sat Mar 05 17:14:42 2022 start with 41789150 relations
  154. Sat Mar 05 17:17:33 2022 pruned 2065546 relations
  155. Sat Mar 05 17:17:33 2022 memory use: 1100.5 MB
  156. Sat Mar 05 17:17:33 2022 distribution of cycle lengths:
  157. Sat Mar 05 17:17:33 2022 1 relations: 149004
  158. Sat Mar 05 17:17:33 2022 2 relations: 274024
  159. Sat Mar 05 17:17:33 2022 3 relations: 351630
  160. Sat Mar 05 17:17:33 2022 4 relations: 378375
  161. Sat Mar 05 17:17:33 2022 5 relations: 402224
  162. Sat Mar 05 17:17:33 2022 6 relations: 403753
  163. Sat Mar 05 17:17:33 2022 7 relations: 397807
  164. Sat Mar 05 17:17:33 2022 8 relations: 372161
  165. Sat Mar 05 17:17:33 2022 9 relations: 340823
  166. Sat Mar 05 17:17:33 2022 10+ relations: 1698034
  167. Sat Mar 05 17:17:33 2022 heaviest cycle: 28 relations
  168. Sat Mar 05 17:17:45 2022 RelProcTime: 5125
  169. Sat Mar 05 17:17:45 2022
  170. Sat Mar 05 17:17:45 2022 commencing linear algebra
  171. Sat Mar 05 17:17:47 2022 read 4767835 cycles
  172. Sat Mar 05 17:18:01 2022 cycles contain 15926169 unique relations
  173. Sat Mar 05 17:20:46 2022 read 15926169 relations
  174. Sat Mar 05 17:21:30 2022 using 20 quadratic characters above 4294917295
  175. Sat Mar 05 17:23:01 2022 building initial matrix
  176. Sat Mar 05 17:28:16 2022 memory use: 2174.6 MB
  177. Sat Mar 05 17:28:22 2022 read 4767835 cycles
  178. Sat Mar 05 17:28:24 2022 matrix is 4767656 x 4767835 (2241.4 MB) with weight 687942849 (144.29/col)
  179. Sat Mar 05 17:28:24 2022 sparse part has weight 530368479 (111.24/col)
  180. Sat Mar 05 17:29:35 2022 filtering completed in 2 passes
  181. Sat Mar 05 17:29:36 2022 matrix is 4767510 x 4767689 (2241.4 MB) with weight 687935543 (144.29/col)
  182. Sat Mar 05 17:29:36 2022 sparse part has weight 530366240 (111.24/col)
  183. Sat Mar 05 17:29:54 2022 matrix starts at (0, 0)
  184. Sat Mar 05 17:29:55 2022 matrix is 4767510 x 4767689 (2241.4 MB) with weight 687935543 (144.29/col)
  185. Sat Mar 05 17:29:55 2022 sparse part has weight 530366240 (111.24/col)
  186. Sat Mar 05 17:29:55 2022 saving the first 48 matrix rows for later
  187. Sat Mar 05 17:29:57 2022 matrix includes 64 packed rows
  188. Sat Mar 05 17:29:58 2022 matrix is 4767462 x 4767689 (2183.4 MB) with weight 587400671 (123.20/col)
  189. Sat Mar 05 17:29:58 2022 sparse part has weight 524678775 (110.05/col)
  190. Sat Mar 05 17:29:58 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  191. Sat Mar 05 17:30:31 2022 commencing Lanczos iteration (6 threads)
  192. Sat Mar 05 17:30:31 2022 memory use: 1801.9 MB
  193. Sat Mar 05 17:30:53 2022 linear algebra at 0.0%, ETA 18h15m
  194. Sat Mar 05 17:31:00 2022 checkpointing every 270000 dimensions
  195. Sun Mar 06 11:41:46 2022 lanczos halted after 75390 iterations (dim = 4767462)
  196. Sun Mar 06 11:41:52 2022 recovered 30 nontrivial dependencies
  197. Sun Mar 06 11:41:54 2022 BLanczosTime: 66249
  198. Sun Mar 06 11:41:54 2022
  199. Sun Mar 06 11:41:54 2022 commencing square root phase
  200. Sun Mar 06 11:41:54 2022 handling dependencies 1 to 64
  201. Sun Mar 06 11:41:54 2022 reading relations for dependency 1
  202. Sun Mar 06 11:41:55 2022 read 2382973 cycles
  203. Sun Mar 06 11:42:03 2022 cycles contain 7959932 unique relations
  204. Sun Mar 06 11:43:21 2022 read 7959932 relations
  205. Sun Mar 06 11:44:13 2022 multiplying 7959932 relations
  206. Sun Mar 06 11:53:43 2022 multiply complete, coefficients have about 382.57 million bits
  207. Sun Mar 06 11:53:46 2022 initial square root is modulo 7321109
  208. Sun Mar 06 12:03:57 2022 sqrtTime: 1323
  209. Sun Mar 06 12:03:57 2022 p62 factor: 76065389386241654066223105775614044557009472965468434577333483
  210. Sun Mar 06 12:03:57 2022 p99 factor: 668971820664833515725281811773614807764044223562118847454893757933571882299492870264825101287238331
  211. Sun Mar 06 12:03:57 2022 elapsed time 20:11:38
  212.  
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