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Msieve log of C158_230916_6566

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Dec 6th, 2021
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  1. Mon Dec 06 07:58:05 2021
  2. Mon Dec 06 07:58:05 2021
  3. Mon Dec 06 07:58:05 2021 Msieve v. 1.53 (SVN 988)
  4. Mon Dec 06 07:58:05 2021 random seeds: 7cd5efac 69f1421a
  5. Mon Dec 06 07:58:05 2021 factoring 38891753026865572709399544772393027179464480328628782431904874670014317930650572553589197345514331619514336747410692908788243595375188833917749229523057795249 (158 digits)
  6. Mon Dec 06 07:58:06 2021 searching for 15-digit factors
  7. Mon Dec 06 07:58:07 2021 commencing number field sieve (158-digit input)
  8. Mon Dec 06 07:58:07 2021 R0: -9904657562669298334829126830146
  9. Mon Dec 06 07:58:07 2021 R1: 93226310454041957
  10. Mon Dec 06 07:58:07 2021 A0: 3207575894221450710413568979232212159685
  11. Mon Dec 06 07:58:07 2021 A1: -986365661186228682233146301232446
  12. Mon Dec 06 07:58:07 2021 A2: -19529737015668250864871311
  13. Mon Dec 06 07:58:07 2021 A3: 458230916250024830
  14. Mon Dec 06 07:58:07 2021 A4: 3048890330
  15. Mon Dec 06 07:58:07 2021 A5: 408
  16. Mon Dec 06 07:58:07 2021 skew 35557125.03, size 2.691e-015, alpha -6.649, combined = 2.076e-012 rroots = 3
  17. Mon Dec 06 07:58:07 2021
  18. Mon Dec 06 07:58:07 2021 commencing relation filtering
  19. Mon Dec 06 07:58:07 2021 setting target matrix density to 100.0
  20. Mon Dec 06 07:58:07 2021 estimated available RAM is 12041.5 MB
  21. Mon Dec 06 07:58:07 2021 commencing duplicate removal, pass 1
  22. Mon Dec 06 08:00:38 2021 error -9 reading relation 10743164
  23. Mon Dec 06 08:00:38 2021 error -9 reading relation 10743805
  24. Mon Dec 06 08:00:45 2021 error -15 reading relation 11248908
  25. Mon Dec 06 08:00:45 2021 error -9 reading relation 11249229
  26. Mon Dec 06 08:00:53 2021 error -9 reading relation 11832039
  27. Mon Dec 06 08:00:53 2021 error -9 reading relation 11832402
  28. Mon Dec 06 08:00:57 2021 error -9 reading relation 12066065
  29. Mon Dec 06 08:00:57 2021 error -9 reading relation 12066908
  30. Mon Dec 06 08:00:58 2021 error -9 reading relation 12116721
  31. Mon Dec 06 08:00:58 2021 error -15 reading relation 12117610
  32. Mon Dec 06 08:00:58 2021 error -9 reading relation 12147125
  33. Mon Dec 06 08:00:59 2021 error -15 reading relation 12206519
  34. Mon Dec 06 08:01:02 2021 error -15 reading relation 12468124
  35. Mon Dec 06 08:01:03 2021 error -15 reading relation 12517697
  36. Mon Dec 06 08:01:06 2021 error -15 reading relation 12703768
  37. Mon Dec 06 08:01:06 2021 error -9 reading relation 12704693
  38. Mon Dec 06 08:01:09 2021 error -15 reading relation 12908507
  39. Mon Dec 06 08:01:10 2021 error -9 reading relation 13051022
  40. Mon Dec 06 08:01:12 2021 error -15 reading relation 13142305
  41. Mon Dec 06 08:01:13 2021 error -9 reading relation 13233590
  42. Mon Dec 06 08:01:15 2021 error -1 reading relation 13374219
  43. Mon Dec 06 08:01:15 2021 error -9 reading relation 13375020
  44. Mon Dec 06 08:01:24 2021 error -15 reading relation 14022316
  45. Mon Dec 06 08:01:24 2021 error -9 reading relation 14023155
  46. Mon Dec 06 08:01:31 2021 error -15 reading relation 14536881
  47. Mon Dec 06 08:01:31 2021 error -9 reading relation 14537722
  48. Mon Dec 06 08:01:44 2021 error -15 reading relation 15486963
  49. Mon Dec 06 08:01:44 2021 error -9 reading relation 15487681
  50. Mon Dec 06 08:03:00 2021 error -9 reading relation 21158164
  51. Mon Dec 06 08:16:19 2021 error -15 reading relation 77865930
  52. Mon Dec 06 08:16:20 2021 error -15 reading relation 77916471
  53. Mon Dec 06 08:16:42 2021 error -15 reading relation 79544470
  54. Mon Dec 06 08:17:02 2021 error -15 reading relation 80999087
  55. Mon Dec 06 08:17:29 2021 error -1 reading relation 82857380
  56. Mon Dec 06 08:22:11 2021 error -15 reading relation 102934499
  57. Mon Dec 06 08:27:10 2021 error -15 reading relation 124728669
  58. Mon Dec 06 08:27:45 2021 error -15 reading relation 127187443
  59. Mon Dec 06 08:27:45 2021 error -15 reading relation 127228939
  60. Mon Dec 06 08:28:03 2021 error -5 reading relation 128553353
  61. Mon Dec 06 08:28:03 2021 error -15 reading relation 128555179
  62. Mon Dec 06 08:28:13 2021 error -9 reading relation 129270671
  63. Mon Dec 06 08:28:57 2021 skipped 10 relations with composite factors
  64. Mon Dec 06 08:28:57 2021 found 25453582 hash collisions in 132523995 relations
  65. Mon Dec 06 08:29:41 2021 added 121642 free relations
  66. Mon Dec 06 08:29:41 2021 commencing duplicate removal, pass 2
  67. Mon Dec 06 08:31:53 2021 found 26108578 duplicates and 106537059 unique relations
  68. Mon Dec 06 08:31:53 2021 memory use: 788.8 MB
  69. Mon Dec 06 08:31:53 2021 reading ideals above 59965440
  70. Mon Dec 06 08:31:53 2021 commencing singleton removal, initial pass
  71. Mon Dec 06 08:51:21 2021 memory use: 2756.0 MB
  72. Mon Dec 06 08:51:21 2021 reading all ideals from disk
  73. Mon Dec 06 08:51:25 2021 memory use: 1812.0 MB
  74. Mon Dec 06 08:51:31 2021 commencing in-memory singleton removal
  75. Mon Dec 06 08:51:36 2021 begin with 106537059 relations and 83725446 unique ideals
  76. Mon Dec 06 08:52:30 2021 reduce to 73076044 relations and 47138779 ideals in 13 passes
  77. Mon Dec 06 08:52:30 2021 max relations containing the same ideal: 56
  78. Mon Dec 06 08:52:39 2021 reading ideals above 720000
  79. Mon Dec 06 08:52:39 2021 commencing singleton removal, initial pass
  80. Mon Dec 06 09:08:59 2021 memory use: 1506.0 MB
  81. Mon Dec 06 09:08:59 2021 reading all ideals from disk
  82. Mon Dec 06 09:09:05 2021 memory use: 2643.5 MB
  83. Mon Dec 06 09:09:16 2021 keeping 53867209 ideals with weight <= 200, target excess is 395268
  84. Mon Dec 06 09:09:27 2021 commencing in-memory singleton removal
  85. Mon Dec 06 09:09:36 2021 begin with 73076044 relations and 53867209 unique ideals
  86. Mon Dec 06 09:10:15 2021 reduce to 73074178 relations and 53865343 ideals in 5 passes
  87. Mon Dec 06 09:10:15 2021 max relations containing the same ideal: 200
  88. Mon Dec 06 09:10:56 2021 removing 8109255 relations and 6109255 ideals in 2000000 cliques
  89. Mon Dec 06 09:11:00 2021 commencing in-memory singleton removal
  90. Mon Dec 06 09:11:08 2021 begin with 64964923 relations and 53865343 unique ideals
  91. Mon Dec 06 09:12:02 2021 reduce to 64263707 relations and 47031173 ideals in 8 passes
  92. Mon Dec 06 09:12:02 2021 max relations containing the same ideal: 193
  93. Mon Dec 06 09:12:41 2021 removing 6408891 relations and 4408891 ideals in 2000000 cliques
  94. Mon Dec 06 09:12:44 2021 commencing in-memory singleton removal
  95. Mon Dec 06 09:12:50 2021 begin with 57854816 relations and 47031173 unique ideals
  96. Mon Dec 06 09:13:31 2021 reduce to 57374763 relations and 42127617 ideals in 7 passes
  97. Mon Dec 06 09:13:31 2021 max relations containing the same ideal: 182
  98. Mon Dec 06 09:14:07 2021 removing 5955555 relations and 3955555 ideals in 2000000 cliques
  99. Mon Dec 06 09:14:09 2021 commencing in-memory singleton removal
  100. Mon Dec 06 09:14:15 2021 begin with 51419208 relations and 42127617 unique ideals
  101. Mon Dec 06 09:14:53 2021 reduce to 50994861 relations and 37734236 ideals in 7 passes
  102. Mon Dec 06 09:14:53 2021 max relations containing the same ideal: 168
  103. Mon Dec 06 09:15:24 2021 removing 5722465 relations and 3722465 ideals in 2000000 cliques
  104. Mon Dec 06 09:15:27 2021 commencing in-memory singleton removal
  105. Mon Dec 06 09:15:32 2021 begin with 45272396 relations and 37734236 unique ideals
  106. Mon Dec 06 09:16:08 2021 reduce to 44863396 relations and 33588503 ideals in 8 passes
  107. Mon Dec 06 09:16:08 2021 max relations containing the same ideal: 156
  108. Mon Dec 06 09:16:36 2021 removing 5578139 relations and 3578139 ideals in 2000000 cliques
  109. Mon Dec 06 09:16:38 2021 commencing in-memory singleton removal
  110. Mon Dec 06 09:16:43 2021 begin with 39285257 relations and 33588503 unique ideals
  111. Mon Dec 06 09:17:10 2021 reduce to 38869533 relations and 29578632 ideals in 7 passes
  112. Mon Dec 06 09:17:10 2021 max relations containing the same ideal: 139
  113. Mon Dec 06 09:17:35 2021 removing 5479918 relations and 3479918 ideals in 2000000 cliques
  114. Mon Dec 06 09:17:38 2021 commencing in-memory singleton removal
  115. Mon Dec 06 09:17:42 2021 begin with 33389615 relations and 29578632 unique ideals
  116. Mon Dec 06 09:18:07 2021 reduce to 32950298 relations and 25640035 ideals in 7 passes
  117. Mon Dec 06 09:18:07 2021 max relations containing the same ideal: 126
  118. Mon Dec 06 09:18:29 2021 removing 5416545 relations and 3416545 ideals in 2000000 cliques
  119. Mon Dec 06 09:18:31 2021 commencing in-memory singleton removal
  120. Mon Dec 06 09:18:34 2021 begin with 27533753 relations and 25640035 unique ideals
  121. Mon Dec 06 09:18:54 2021 reduce to 27047849 relations and 21712951 ideals in 7 passes
  122. Mon Dec 06 09:18:54 2021 max relations containing the same ideal: 110
  123. Mon Dec 06 09:19:11 2021 removing 5372770 relations and 3372770 ideals in 2000000 cliques
  124. Mon Dec 06 09:19:13 2021 commencing in-memory singleton removal
  125. Mon Dec 06 09:19:16 2021 begin with 21675079 relations and 21712951 unique ideals
  126. Mon Dec 06 09:19:31 2021 reduce to 21114160 relations and 17745466 ideals in 7 passes
  127. Mon Dec 06 09:19:31 2021 max relations containing the same ideal: 92
  128. Mon Dec 06 09:19:46 2021 removing 5332361 relations and 3332361 ideals in 2000000 cliques
  129. Mon Dec 06 09:19:48 2021 commencing in-memory singleton removal
  130. Mon Dec 06 09:19:50 2021 begin with 15781799 relations and 17745466 unique ideals
  131. Mon Dec 06 09:20:03 2021 reduce to 15089260 relations and 13666989 ideals in 8 passes
  132. Mon Dec 06 09:20:03 2021 max relations containing the same ideal: 75
  133. Mon Dec 06 09:20:13 2021 removing 2876680 relations and 1912920 ideals in 963760 cliques
  134. Mon Dec 06 09:20:15 2021 commencing in-memory singleton removal
  135. Mon Dec 06 09:20:16 2021 begin with 12212580 relations and 13666989 unique ideals
  136. Mon Dec 06 09:20:27 2021 reduce to 11839137 relations and 11358990 ideals in 8 passes
  137. Mon Dec 06 09:20:27 2021 max relations containing the same ideal: 63
  138. Mon Dec 06 09:20:35 2021 removing 125171 relations and 103535 ideals in 21636 cliques
  139. Mon Dec 06 09:20:36 2021 commencing in-memory singleton removal
  140. Mon Dec 06 09:20:37 2021 begin with 11713966 relations and 11358990 unique ideals
  141. Mon Dec 06 09:20:43 2021 reduce to 11712967 relations and 11254454 ideals in 5 passes
  142. Mon Dec 06 09:20:43 2021 max relations containing the same ideal: 63
  143. Mon Dec 06 09:20:46 2021 relations with 0 large ideals: 1284
  144. Mon Dec 06 09:20:46 2021 relations with 1 large ideals: 8650
  145. Mon Dec 06 09:20:46 2021 relations with 2 large ideals: 116000
  146. Mon Dec 06 09:20:46 2021 relations with 3 large ideals: 647088
  147. Mon Dec 06 09:20:46 2021 relations with 4 large ideals: 1851136
  148. Mon Dec 06 09:20:46 2021 relations with 5 large ideals: 3060505
  149. Mon Dec 06 09:20:46 2021 relations with 6 large ideals: 3107147
  150. Mon Dec 06 09:20:46 2021 relations with 7+ large ideals: 2921157
  151. Mon Dec 06 09:20:46 2021 commencing 2-way merge
  152. Mon Dec 06 09:20:56 2021 reduce to 7756849 relation sets and 7298336 unique ideals
  153. Mon Dec 06 09:20:56 2021 commencing full merge
  154. Mon Dec 06 09:24:08 2021 memory use: 897.4 MB
  155. Mon Dec 06 09:24:10 2021 found 3731472 cycles, need 3672536
  156. Mon Dec 06 09:24:11 2021 weight of 3672536 cycles is about 367804153 (100.15/cycle)
  157. Mon Dec 06 09:24:11 2021 distribution of cycle lengths:
  158. Mon Dec 06 09:24:11 2021 1 relations: 145918
  159. Mon Dec 06 09:24:11 2021 2 relations: 252768
  160. Mon Dec 06 09:24:11 2021 3 relations: 318519
  161. Mon Dec 06 09:24:11 2021 4 relations: 342044
  162. Mon Dec 06 09:24:11 2021 5 relations: 358283
  163. Mon Dec 06 09:24:11 2021 6 relations: 352802
  164. Mon Dec 06 09:24:11 2021 7 relations: 332575
  165. Mon Dec 06 09:24:11 2021 8 relations: 299969
  166. Mon Dec 06 09:24:11 2021 9 relations: 262653
  167. Mon Dec 06 09:24:11 2021 10+ relations: 1007005
  168. Mon Dec 06 09:24:11 2021 heaviest cycle: 23 relations
  169. Mon Dec 06 09:24:13 2021 commencing cycle optimization
  170. Mon Dec 06 09:24:20 2021 start with 26859716 relations
  171. Mon Dec 06 09:25:41 2021 pruned 1148685 relations
  172. Mon Dec 06 09:25:41 2021 memory use: 763.3 MB
  173. Mon Dec 06 09:25:41 2021 distribution of cycle lengths:
  174. Mon Dec 06 09:25:41 2021 1 relations: 145918
  175. Mon Dec 06 09:25:41 2021 2 relations: 260144
  176. Mon Dec 06 09:25:41 2021 3 relations: 333744
  177. Mon Dec 06 09:25:41 2021 4 relations: 358059
  178. Mon Dec 06 09:25:41 2021 5 relations: 378697
  179. Mon Dec 06 09:25:41 2021 6 relations: 371071
  180. Mon Dec 06 09:25:41 2021 7 relations: 349070
  181. Mon Dec 06 09:25:41 2021 8 relations: 310441
  182. Mon Dec 06 09:25:41 2021 9 relations: 268552
  183. Mon Dec 06 09:25:41 2021 10+ relations: 896840
  184. Mon Dec 06 09:25:41 2021 heaviest cycle: 22 relations
  185. Mon Dec 06 09:25:47 2021 RelProcTime: 5260
  186. Mon Dec 06 09:25:47 2021
  187. Mon Dec 06 09:25:47 2021 commencing linear algebra
  188. Mon Dec 06 09:25:48 2021 read 3672536 cycles
  189. Mon Dec 06 09:25:58 2021 cycles contain 11490211 unique relations
  190. Mon Dec 06 09:28:30 2021 read 11490211 relations
  191. Mon Dec 06 09:28:58 2021 using 20 quadratic characters above 4294917295
  192. Mon Dec 06 09:30:26 2021 building initial matrix
  193. Mon Dec 06 09:34:01 2021 memory use: 1588.5 MB
  194. Mon Dec 06 09:34:07 2021 read 3672536 cycles
  195. Mon Dec 06 09:34:08 2021 matrix is 3672359 x 3672536 (1483.1 MB) with weight 456902473 (124.41/col)
  196. Mon Dec 06 09:34:08 2021 sparse part has weight 344712389 (93.86/col)
  197. Mon Dec 06 09:34:58 2021 filtering completed in 2 passes
  198. Mon Dec 06 09:35:00 2021 matrix is 3672024 x 3672201 (1483.0 MB) with weight 456885381 (124.42/col)
  199. Mon Dec 06 09:35:00 2021 sparse part has weight 344705694 (93.87/col)
  200. Mon Dec 06 09:35:15 2021 matrix starts at (0, 0)
  201. Mon Dec 06 09:35:16 2021 matrix is 3672024 x 3672201 (1483.0 MB) with weight 456885381 (124.42/col)
  202. Mon Dec 06 09:35:16 2021 sparse part has weight 344705694 (93.87/col)
  203. Mon Dec 06 09:35:16 2021 saving the first 48 matrix rows for later
  204. Mon Dec 06 09:35:18 2021 matrix includes 64 packed rows
  205. Mon Dec 06 09:35:18 2021 matrix is 3671976 x 3672201 (1436.5 MB) with weight 382465877 (104.15/col)
  206. Mon Dec 06 09:35:18 2021 sparse part has weight 339848007 (92.55/col)
  207. Mon Dec 06 09:35:18 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  208. Mon Dec 06 09:35:46 2021 commencing Lanczos iteration (6 threads)
  209. Mon Dec 06 09:35:46 2021 memory use: 1171.1 MB
  210. Mon Dec 06 09:36:00 2021 linear algebra at 0.0%, ETA 8h43m
  211. Mon Dec 06 09:36:05 2021 checkpointing every 410000 dimensions
  212. Mon Dec 06 18:49:01 2021 lanczos halted after 58072 iterations (dim = 3671974)
  213. Mon Dec 06 18:49:07 2021 recovered 30 nontrivial dependencies
  214. Mon Dec 06 18:49:08 2021 BLanczosTime: 33801
  215. Mon Dec 06 18:49:08 2021
  216. Mon Dec 06 18:49:08 2021 commencing square root phase
  217. Mon Dec 06 18:49:08 2021 handling dependencies 1 to 64
  218. Mon Dec 06 18:49:08 2021 reading relations for dependency 1
  219. Mon Dec 06 18:49:10 2021 read 1837618 cycles
  220. Mon Dec 06 18:49:14 2021 cycles contain 5746322 unique relations
  221. Mon Dec 06 18:50:43 2021 read 5746322 relations
  222. Mon Dec 06 18:51:25 2021 multiplying 5746322 relations
  223. Mon Dec 06 18:58:02 2021 multiply complete, coefficients have about 263.04 million bits
  224. Mon Dec 06 18:58:04 2021 initial square root is modulo 2753269457
  225. Mon Dec 06 19:05:17 2021 sqrtTime: 969
  226. Mon Dec 06 19:05:17 2021 p60 factor: 177332585834255120169518064753615602492100163849019423054567
  227. Mon Dec 06 19:05:17 2021 p99 factor: 219315321230447540373226248852230430823718942995340338563499413416659896689297462711767748217031847
  228. Mon Dec 06 19:05:17 2021 elapsed time 11:07:12
  229.  
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