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Msieve log of C158_230916_6705

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Dec 29th, 2023
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  1. Thu Dec 28 08:50:17 2023
  2. Thu Dec 28 08:50:17 2023
  3. Thu Dec 28 08:50:17 2023 Msieve v. 1.53 (SVN 988)
  4. Thu Dec 28 08:50:17 2023 random seeds: 42cbb030 dd9abd7f
  5. Thu Dec 28 08:50:17 2023 factoring 12231790959227380987424088225369670054835277802420771778142860416046716466730049308609432240672288036892772413700345340842524810331361979859505579804888968257 (158 digits)
  6. Thu Dec 28 08:50:18 2023 searching for 15-digit factors
  7. Thu Dec 28 08:50:18 2023 commencing number field sieve (158-digit input)
  8. Thu Dec 28 08:50:18 2023 R0: -4210793047917365738056492635711
  9. Thu Dec 28 08:50:18 2023 R1: 81929841225868747
  10. Thu Dec 28 08:50:18 2023 A0: -2135100495966437086218888587599132576520
  11. Thu Dec 28 08:50:18 2023 A1: 1629197275484552371925075384267378
  12. Thu Dec 28 08:50:18 2023 A2: 594587245820636561914269801
  13. Thu Dec 28 08:50:18 2023 A3: -32970243600948242678
  14. Thu Dec 28 08:50:18 2023 A4: -1538529904906
  15. Thu Dec 28 08:50:18 2023 A5: 9240
  16. Thu Dec 28 08:50:18 2023 skew 18850995.92, size 2.576e-015, alpha -8.084, combined = 1.950e-012 rroots = 5
  17. Thu Dec 28 08:50:18 2023
  18. Thu Dec 28 08:50:18 2023 commencing relation filtering
  19. Thu Dec 28 08:50:18 2023 setting target matrix density to 120.0
  20. Thu Dec 28 08:50:18 2023 estimated available RAM is 16151.1 MB
  21. Thu Dec 28 08:50:18 2023 commencing duplicate removal, pass 1
  22. Thu Dec 28 08:54:21 2023 error -9 reading relation 27346284
  23. Thu Dec 28 08:55:49 2023 error -15 reading relation 37521073
  24. Thu Dec 28 08:56:39 2023 error -9 reading relation 43068537
  25. Thu Dec 28 08:56:49 2023 error -15 reading relation 44061082
  26. Thu Dec 28 08:56:54 2023 error -1 reading relation 44781140
  27. Thu Dec 28 08:57:52 2023 error -1 reading relation 51896544
  28. Thu Dec 28 08:57:59 2023 error -1 reading relation 52559886
  29. Thu Dec 28 08:58:17 2023 error -15 reading relation 54524308
  30. Thu Dec 28 08:59:42 2023 error -1 reading relation 64518464
  31. Thu Dec 28 09:01:18 2023 error -15 reading relation 75624443
  32. Thu Dec 28 09:01:48 2023 error -15 reading relation 79429832
  33. Thu Dec 28 09:01:49 2023 error -15 reading relation 79510342
  34. Thu Dec 28 09:01:49 2023 error -15 reading relation 79552015
  35. Thu Dec 28 09:01:51 2023 error -15 reading relation 79677207
  36. Thu Dec 28 09:01:57 2023 error -15 reading relation 80285374
  37. Thu Dec 28 09:02:03 2023 error -9 reading relation 80920483
  38. Thu Dec 28 09:02:06 2023 error -9 reading relation 81184728
  39. Thu Dec 28 09:02:09 2023 error -15 reading relation 81622201
  40. Thu Dec 28 09:02:31 2023 error -9 reading relation 83666770
  41. Thu Dec 28 09:02:31 2023 error -1 reading relation 83710370
  42. Thu Dec 28 09:02:48 2023 error -15 reading relation 85541968
  43. Thu Dec 28 09:04:03 2023 error -9 reading relation 94538377
  44. Thu Dec 28 09:04:09 2023 error -9 reading relation 95275963
  45. Thu Dec 28 09:04:37 2023 error -1 reading relation 98280441
  46. Thu Dec 28 09:04:48 2023 error -15 reading relation 99740324
  47. Thu Dec 28 09:05:11 2023 error -15 reading relation 102331068
  48. Thu Dec 28 09:05:29 2023 error -15 reading relation 104474512
  49. Thu Dec 28 09:06:47 2023 error -15 reading relation 114227906
  50. Thu Dec 28 09:06:51 2023 error -9 reading relation 114666090
  51. Thu Dec 28 09:07:02 2023 error -15 reading relation 116032259
  52. Thu Dec 28 09:07:03 2023 error -9 reading relation 116177038
  53. Thu Dec 28 09:07:03 2023 error -15 reading relation 116186293
  54. Thu Dec 28 09:07:13 2023 error -1 reading relation 117406074
  55. Thu Dec 28 09:07:24 2023 error -1 reading relation 118589582
  56. Thu Dec 28 09:07:26 2023 error -9 reading relation 118797068
  57. Thu Dec 28 09:08:06 2023 error -15 reading relation 123423769
  58. Thu Dec 28 09:08:18 2023 error -15 reading relation 124625187
  59. Thu Dec 28 09:08:38 2023 error -15 reading relation 126894865
  60. Thu Dec 28 09:08:38 2023 error -15 reading relation 126932096
  61. Thu Dec 28 09:09:06 2023 error -9 reading relation 129851768
  62. Thu Dec 28 09:09:12 2023 error -15 reading relation 130589431
  63. Thu Dec 28 09:09:14 2023 error -9 reading relation 130802902
  64. Thu Dec 28 09:10:04 2023 error -1 reading relation 136527594
  65. Thu Dec 28 09:10:25 2023 skipped 12 relations with composite factors
  66. Thu Dec 28 09:10:25 2023 found 26318409 hash collisions in 138596401 relations
  67. Thu Dec 28 09:10:56 2023 added 122238 free relations
  68. Thu Dec 28 09:10:56 2023 commencing duplicate removal, pass 2
  69. Thu Dec 28 09:12:45 2023 found 26977001 duplicates and 111741638 unique relations
  70. Thu Dec 28 09:12:45 2023 memory use: 788.8 MB
  71. Thu Dec 28 09:12:45 2023 reading ideals above 64946176
  72. Thu Dec 28 09:12:45 2023 commencing singleton removal, initial pass
  73. Thu Dec 28 09:26:00 2023 memory use: 2756.0 MB
  74. Thu Dec 28 09:26:01 2023 reading all ideals from disk
  75. Thu Dec 28 09:26:05 2023 memory use: 1904.8 MB
  76. Thu Dec 28 09:26:11 2023 commencing in-memory singleton removal
  77. Thu Dec 28 09:26:16 2023 begin with 111741638 relations and 84980643 unique ideals
  78. Thu Dec 28 09:27:14 2023 reduce to 80267603 relations and 50848721 ideals in 11 passes
  79. Thu Dec 28 09:27:14 2023 max relations containing the same ideal: 59
  80. Thu Dec 28 09:27:23 2023 reading ideals above 720000
  81. Thu Dec 28 09:27:24 2023 commencing singleton removal, initial pass
  82. Thu Dec 28 09:39:48 2023 memory use: 1506.0 MB
  83. Thu Dec 28 09:39:49 2023 reading all ideals from disk
  84. Thu Dec 28 09:39:55 2023 memory use: 2933.8 MB
  85. Thu Dec 28 09:40:09 2023 keeping 58095873 ideals with weight <= 200, target excess is 426465
  86. Thu Dec 28 09:40:21 2023 commencing in-memory singleton removal
  87. Thu Dec 28 09:40:31 2023 begin with 80267603 relations and 58095873 unique ideals
  88. Thu Dec 28 09:41:18 2023 reduce to 80267222 relations and 58095492 ideals in 5 passes
  89. Thu Dec 28 09:41:18 2023 max relations containing the same ideal: 200
  90. Thu Dec 28 09:42:05 2023 removing 7849253 relations and 5849253 ideals in 2000000 cliques
  91. Thu Dec 28 09:42:09 2023 commencing in-memory singleton removal
  92. Thu Dec 28 09:42:19 2023 begin with 72417969 relations and 58095492 unique ideals
  93. Thu Dec 28 09:43:18 2023 reduce to 71813372 relations and 51623000 ideals in 7 passes
  94. Thu Dec 28 09:43:18 2023 max relations containing the same ideal: 194
  95. Thu Dec 28 09:44:00 2023 removing 6241247 relations and 4241247 ideals in 2000000 cliques
  96. Thu Dec 28 09:44:02 2023 commencing in-memory singleton removal
  97. Thu Dec 28 09:44:09 2023 begin with 65572125 relations and 51623000 unique ideals
  98. Thu Dec 28 09:45:02 2023 reduce to 65161546 relations and 46959911 ideals in 7 passes
  99. Thu Dec 28 09:45:02 2023 max relations containing the same ideal: 183
  100. Thu Dec 28 09:45:42 2023 removing 5814678 relations and 3814678 ideals in 2000000 cliques
  101. Thu Dec 28 09:45:44 2023 commencing in-memory singleton removal
  102. Thu Dec 28 09:45:51 2023 begin with 59346868 relations and 46959911 unique ideals
  103. Thu Dec 28 09:46:42 2023 reduce to 58987274 relations and 42775401 ideals in 7 passes
  104. Thu Dec 28 09:46:42 2023 max relations containing the same ideal: 174
  105. Thu Dec 28 09:47:19 2023 removing 5595527 relations and 3595527 ideals in 2000000 cliques
  106. Thu Dec 28 09:47:22 2023 commencing in-memory singleton removal
  107. Thu Dec 28 09:47:28 2023 begin with 53391747 relations and 42775401 unique ideals
  108. Thu Dec 28 09:48:05 2023 reduce to 53050342 relations and 38828207 ideals in 7 passes
  109. Thu Dec 28 09:48:05 2023 max relations containing the same ideal: 165
  110. Thu Dec 28 09:48:35 2023 removing 5454914 relations and 3454914 ideals in 2000000 cliques
  111. Thu Dec 28 09:48:37 2023 commencing in-memory singleton removal
  112. Thu Dec 28 09:48:43 2023 begin with 47595428 relations and 38828207 unique ideals
  113. Thu Dec 28 09:49:17 2023 reduce to 47254748 relations and 35021549 ideals in 6 passes
  114. Thu Dec 28 09:49:17 2023 max relations containing the same ideal: 153
  115. Thu Dec 28 09:49:47 2023 removing 5363157 relations and 3363157 ideals in 2000000 cliques
  116. Thu Dec 28 09:49:49 2023 commencing in-memory singleton removal
  117. Thu Dec 28 09:49:55 2023 begin with 41891591 relations and 35021549 unique ideals
  118. Thu Dec 28 09:50:27 2023 reduce to 41539105 relations and 31293265 ideals in 7 passes
  119. Thu Dec 28 09:50:27 2023 max relations containing the same ideal: 140
  120. Thu Dec 28 09:50:52 2023 removing 5298210 relations and 3298210 ideals in 2000000 cliques
  121. Thu Dec 28 09:50:54 2023 commencing in-memory singleton removal
  122. Thu Dec 28 09:50:59 2023 begin with 36240895 relations and 31293265 unique ideals
  123. Thu Dec 28 09:51:28 2023 reduce to 35863576 relations and 27602706 ideals in 7 passes
  124. Thu Dec 28 09:51:28 2023 max relations containing the same ideal: 130
  125. Thu Dec 28 09:51:49 2023 removing 5263598 relations and 3263598 ideals in 2000000 cliques
  126. Thu Dec 28 09:51:51 2023 commencing in-memory singleton removal
  127. Thu Dec 28 09:51:55 2023 begin with 30599978 relations and 27602706 unique ideals
  128. Thu Dec 28 09:52:20 2023 reduce to 30179981 relations and 23899895 ideals in 7 passes
  129. Thu Dec 28 09:52:20 2023 max relations containing the same ideal: 114
  130. Thu Dec 28 09:52:38 2023 removing 5244517 relations and 3244517 ideals in 2000000 cliques
  131. Thu Dec 28 09:52:40 2023 commencing in-memory singleton removal
  132. Thu Dec 28 09:52:43 2023 begin with 24935464 relations and 23899895 unique ideals
  133. Thu Dec 28 09:53:01 2023 reduce to 24449090 relations and 20143060 ideals in 7 passes
  134. Thu Dec 28 09:53:01 2023 max relations containing the same ideal: 102
  135. Thu Dec 28 09:53:18 2023 removing 5245759 relations and 3245759 ideals in 2000000 cliques
  136. Thu Dec 28 09:53:19 2023 commencing in-memory singleton removal
  137. Thu Dec 28 09:53:21 2023 begin with 19203331 relations and 20143060 unique ideals
  138. Thu Dec 28 09:53:36 2023 reduce to 18606384 relations and 16261146 ideals in 7 passes
  139. Thu Dec 28 09:53:36 2023 max relations containing the same ideal: 82
  140. Thu Dec 28 09:53:48 2023 removing 4911693 relations and 3061155 ideals in 1850538 cliques
  141. Thu Dec 28 09:53:50 2023 commencing in-memory singleton removal
  142. Thu Dec 28 09:53:51 2023 begin with 13694691 relations and 16261146 unique ideals
  143. Thu Dec 28 09:54:03 2023 reduce to 12969342 relations and 12415128 ideals in 9 passes
  144. Thu Dec 28 09:54:03 2023 max relations containing the same ideal: 64
  145. Thu Dec 28 09:54:10 2023 removing 315098 relations and 255584 ideals in 59514 cliques
  146. Thu Dec 28 09:54:11 2023 commencing in-memory singleton removal
  147. Thu Dec 28 09:54:12 2023 begin with 12654244 relations and 12415128 unique ideals
  148. Thu Dec 28 09:54:21 2023 reduce to 12647226 relations and 12152490 ideals in 6 passes
  149. Thu Dec 28 09:54:21 2023 max relations containing the same ideal: 64
  150. Thu Dec 28 09:54:24 2023 relations with 0 large ideals: 1420
  151. Thu Dec 28 09:54:24 2023 relations with 1 large ideals: 9636
  152. Thu Dec 28 09:54:24 2023 relations with 2 large ideals: 128456
  153. Thu Dec 28 09:54:24 2023 relations with 3 large ideals: 703466
  154. Thu Dec 28 09:54:24 2023 relations with 4 large ideals: 1992904
  155. Thu Dec 28 09:54:24 2023 relations with 5 large ideals: 3272557
  156. Thu Dec 28 09:54:24 2023 relations with 6 large ideals: 3336289
  157. Thu Dec 28 09:54:24 2023 relations with 7+ large ideals: 3202498
  158. Thu Dec 28 09:54:24 2023 commencing 2-way merge
  159. Thu Dec 28 09:54:34 2023 reduce to 8513372 relation sets and 8018636 unique ideals
  160. Thu Dec 28 09:54:34 2023 commencing full merge
  161. Thu Dec 28 09:58:32 2023 memory use: 994.5 MB
  162. Thu Dec 28 09:58:33 2023 found 3805600 cycles, need 3768836
  163. Thu Dec 28 09:58:33 2023 weight of 3768836 cycles is about 452399172 (120.04/cycle)
  164. Thu Dec 28 09:58:33 2023 distribution of cycle lengths:
  165. Thu Dec 28 09:58:33 2023 1 relations: 104996
  166. Thu Dec 28 09:58:33 2023 2 relations: 197902
  167. Thu Dec 28 09:58:33 2023 3 relations: 258442
  168. Thu Dec 28 09:58:33 2023 4 relations: 287125
  169. Thu Dec 28 09:58:33 2023 5 relations: 309715
  170. Thu Dec 28 09:58:33 2023 6 relations: 310956
  171. Thu Dec 28 09:58:33 2023 7 relations: 302787
  172. Thu Dec 28 09:58:33 2023 8 relations: 284632
  173. Thu Dec 28 09:58:33 2023 9 relations: 261316
  174. Thu Dec 28 09:58:33 2023 10+ relations: 1450965
  175. Thu Dec 28 09:58:33 2023 heaviest cycle: 28 relations
  176. Thu Dec 28 09:58:35 2023 commencing cycle optimization
  177. Thu Dec 28 09:58:44 2023 start with 33113967 relations
  178. Thu Dec 28 10:00:33 2023 pruned 1740556 relations
  179. Thu Dec 28 10:00:33 2023 memory use: 863.2 MB
  180. Thu Dec 28 10:00:33 2023 distribution of cycle lengths:
  181. Thu Dec 28 10:00:33 2023 1 relations: 104996
  182. Thu Dec 28 10:00:33 2023 2 relations: 204085
  183. Thu Dec 28 10:00:33 2023 3 relations: 271594
  184. Thu Dec 28 10:00:33 2023 4 relations: 302132
  185. Thu Dec 28 10:00:33 2023 5 relations: 329567
  186. Thu Dec 28 10:00:33 2023 6 relations: 330035
  187. Thu Dec 28 10:00:33 2023 7 relations: 322098
  188. Thu Dec 28 10:00:33 2023 8 relations: 300815
  189. Thu Dec 28 10:00:33 2023 9 relations: 274369
  190. Thu Dec 28 10:00:33 2023 10+ relations: 1329145
  191. Thu Dec 28 10:00:33 2023 heaviest cycle: 28 relations
  192. Thu Dec 28 10:00:40 2023 RelProcTime: 4222
  193. Thu Dec 28 10:00:40 2023
  194. Thu Dec 28 10:00:40 2023 commencing linear algebra
  195. Thu Dec 28 10:00:40 2023 read 3768836 cycles
  196. Thu Dec 28 10:00:48 2023 cycles contain 12403403 unique relations
  197. Thu Dec 28 10:02:24 2023 read 12403403 relations
  198. Thu Dec 28 10:02:49 2023 using 20 quadratic characters above 4294917295
  199. Thu Dec 28 10:03:53 2023 building initial matrix
  200. Thu Dec 28 10:07:22 2023 memory use: 1739.2 MB
  201. Thu Dec 28 10:07:28 2023 read 3768836 cycles
  202. Thu Dec 28 10:07:29 2023 matrix is 3768656 x 3768836 (1758.2 MB) with weight 546520870 (145.01/col)
  203. Thu Dec 28 10:07:29 2023 sparse part has weight 415673314 (110.29/col)
  204. Thu Dec 28 10:08:35 2023 filtering completed in 2 passes
  205. Thu Dec 28 10:08:36 2023 matrix is 3768489 x 3768669 (1758.2 MB) with weight 546510692 (145.01/col)
  206. Thu Dec 28 10:08:36 2023 sparse part has weight 415669332 (110.30/col)
  207. Thu Dec 28 10:08:52 2023 matrix starts at (0, 0)
  208. Thu Dec 28 10:08:54 2023 matrix is 3768489 x 3768669 (1758.2 MB) with weight 546510692 (145.01/col)
  209. Thu Dec 28 10:08:54 2023 sparse part has weight 415669332 (110.30/col)
  210. Thu Dec 28 10:08:54 2023 saving the first 48 matrix rows for later
  211. Thu Dec 28 10:08:57 2023 matrix includes 64 packed rows
  212. Thu Dec 28 10:08:57 2023 matrix is 3768441 x 3768669 (1716.4 MB) with weight 465520296 (123.52/col)
  213. Thu Dec 28 10:08:57 2023 sparse part has weight 412250541 (109.39/col)
  214. Thu Dec 28 10:08:57 2023 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  215. Thu Dec 28 10:09:20 2023 commencing Lanczos iteration (6 threads)
  216. Thu Dec 28 10:09:20 2023 memory use: 1411.8 MB
  217. Thu Dec 28 10:09:39 2023 linear algebra at 0.0%, ETA 12h23m
  218. Thu Dec 28 10:09:45 2023 checkpointing every 310000 dimensions
  219. Thu Dec 28 21:54:07 2023 lanczos halted after 59599 iterations (dim = 3768441)
  220. Thu Dec 28 21:54:12 2023 recovered 30 nontrivial dependencies
  221. Thu Dec 28 21:54:12 2023 BLanczosTime: 42812
  222. Thu Dec 28 21:54:12 2023
  223. Thu Dec 28 21:54:12 2023 commencing square root phase
  224. Thu Dec 28 21:54:12 2023 handling dependencies 1 to 64
  225. Thu Dec 28 21:54:12 2023 reading relations for dependency 1
  226. Thu Dec 28 21:54:14 2023 read 1883487 cycles
  227. Thu Dec 28 21:54:19 2023 cycles contain 6196948 unique relations
  228. Thu Dec 28 21:55:17 2023 read 6196948 relations
  229. Thu Dec 28 21:55:56 2023 multiplying 6196948 relations
  230. Thu Dec 28 22:02:40 2023 multiply complete, coefficients have about 319.82 million bits
  231. Thu Dec 28 22:02:42 2023 initial square root is modulo 547787
  232. Thu Dec 28 22:10:36 2023 sqrtTime: 984
  233. Thu Dec 28 22:10:36 2023 p75 factor: 216954183510561361077247586699898729280661888078001935170849811597242847183
  234. Thu Dec 28 22:10:36 2023 p83 factor: 56379604031152206990554972040413801918821042074288934075524670993970325535836157679
  235. Thu Dec 28 22:10:36 2023 elapsed time 13:20:19
  236.  
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