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Msieve log of 7m3_1113M

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May 28th, 2023
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  1. Mon May 01 23:14:22 2023
  2. Mon May 01 23:14:22 2023
  3. Mon May 01 23:14:22 2023 Msieve v. 1.52 (SVN unknown)
  4. Mon May 01 23:14:22 2023 random seeds: 62ad4600 618fe2ef
  5. Mon May 01 23:14:22 2023 factoring 113439515122799589252251509831419342374338056291472879105760904415858869467282323568601770865617334188665793981814366997180275262990533959453282799967296852962152433154615339679540176210571005696615427166905476341387549766804595218875061501293827927 (249 digits)
  6. Mon May 01 23:14:23 2023 no P-1/P+1/ECM available, skipping
  7. Mon May 01 23:14:23 2023 commencing number field sieve (249-digit input)
  8. Mon May 01 23:14:23 2023 R0: 616873509628062366310139402483069746689975130
  9. Mon May 01 23:14:23 2023 R1: -23861715484377209601555171628930521
  10. Mon May 01 23:14:23 2023 A0: -9261
  11. Mon May 01 23:14:23 2023 A1: -18522
  12. Mon May 01 23:14:23 2023 A2: -7938
  13. Mon May 01 23:14:23 2023 A3: -882
  14. Mon May 01 23:14:23 2023 A4: 84
  15. Mon May 01 23:14:23 2023 A5: 21
  16. Mon May 01 23:14:23 2023 A6: 1
  17. Mon May 01 23:14:23 2023 skew 4.58, size 2.341e-013, alpha 1.443, combined = 3.642e-014 rroots = 6
  18. Mon May 01 23:14:23 2023
  19. Mon May 01 23:14:23 2023 commencing relation filtering
  20. Mon May 01 23:14:23 2023 setting target matrix density to 104.0
  21. Mon May 01 23:14:23 2023 estimated available RAM is 32642.9 MB
  22. Mon May 01 23:14:23 2023 commencing duplicate removal, pass 1
  23. Mon May 01 23:18:06 2023 error -9 reading relation 26555056
  24. Mon May 01 23:18:54 2023 error -9 reading relation 32197916
  25. Mon May 01 23:19:13 2023 error -9 reading relation 34433945
  26. Mon May 01 23:21:25 2023 error -15 reading relation 50336595
  27. Mon May 01 23:21:34 2023 error -9 reading relation 51415540
  28. Tue May 02 00:10:57 2023 error -9 reading relation 407943610
  29. Tue May 02 00:10:58 2023 error -15 reading relation 408067987
  30. Tue May 02 00:11:01 2023 error -15 reading relation 408443989
  31. Tue May 02 00:17:04 2023 skipped 202 relations with b > 2^32
  32. Tue May 02 00:17:04 2023 found 110511678 hash collisions in 449129738 relations
  33. Tue May 02 00:17:04 2023 commencing duplicate removal, pass 2
  34. Tue May 02 00:20:54 2023 found 114160261 duplicates and 334969477 unique relations
  35. Tue May 02 00:20:54 2023 memory use: 2387.0 MB
  36. Tue May 02 00:20:55 2023 reading ideals above 260898816
  37. Tue May 02 00:20:55 2023 commencing singleton removal, initial pass
  38. Tue May 02 01:13:10 2023 memory use: 6024.0 MB
  39. Tue May 02 01:13:11 2023 reading all ideals from disk
  40. Tue May 02 01:13:24 2023 memory use: 5990.9 MB
  41. Tue May 02 01:13:36 2023 commencing in-memory singleton removal
  42. Tue May 02 01:13:48 2023 begin with 334969477 relations and 305054662 unique ideals
  43. Tue May 02 01:16:34 2023 reduce to 189166623 relations and 141631439 ideals in 20 passes
  44. Tue May 02 01:16:34 2023 max relations containing the same ideal: 34
  45. Tue May 02 01:16:48 2023 reading ideals above 720000
  46. Tue May 02 01:16:48 2023 commencing singleton removal, initial pass
  47. Tue May 02 01:52:52 2023 memory use: 5512.0 MB
  48. Tue May 02 01:52:53 2023 reading all ideals from disk
  49. Tue May 02 01:53:11 2023 memory use: 7973.2 MB
  50. Tue May 02 01:53:32 2023 keeping 169128337 ideals with weight <= 200, target excess is 985099
  51. Tue May 02 01:53:55 2023 commencing in-memory singleton removal
  52. Tue May 02 01:54:11 2023 begin with 189166623 relations and 169128337 unique ideals
  53. Tue May 02 01:56:11 2023 reduce to 189163054 relations and 169124753 ideals in 7 passes
  54. Tue May 02 01:56:11 2023 max relations containing the same ideal: 200
  55. Tue May 02 01:57:39 2023 removing 16038080 relations and 14038080 ideals in 2000000 cliques
  56. Tue May 02 01:57:45 2023 commencing in-memory singleton removal
  57. Tue May 02 01:58:00 2023 begin with 173124974 relations and 169124753 unique ideals
  58. Tue May 02 02:00:53 2023 reduce to 171943968 relations and 153887645 ideals in 11 passes
  59. Tue May 02 02:00:53 2023 max relations containing the same ideal: 195
  60. Tue May 02 02:02:14 2023 removing 12012004 relations and 10012004 ideals in 2000000 cliques
  61. Tue May 02 02:02:20 2023 commencing in-memory singleton removal
  62. Tue May 02 02:02:33 2023 begin with 159931964 relations and 153887645 unique ideals
  63. Tue May 02 02:04:43 2023 reduce to 159187635 relations and 143121847 ideals in 9 passes
  64. Tue May 02 02:04:43 2023 max relations containing the same ideal: 187
  65. Tue May 02 02:05:59 2023 removing 10772666 relations and 8772666 ideals in 2000000 cliques
  66. Tue May 02 02:06:04 2023 commencing in-memory singleton removal
  67. Tue May 02 02:06:16 2023 begin with 148414969 relations and 143121847 unique ideals
  68. Tue May 02 02:08:17 2023 reduce to 147769336 relations and 133695233 ideals in 9 passes
  69. Tue May 02 02:08:17 2023 max relations containing the same ideal: 180
  70. Tue May 02 02:09:27 2023 removing 10130763 relations and 8130763 ideals in 2000000 cliques
  71. Tue May 02 02:09:31 2023 commencing in-memory singleton removal
  72. Tue May 02 02:09:43 2023 begin with 137638573 relations and 133695233 unique ideals
  73. Tue May 02 02:11:22 2023 reduce to 137029435 relations and 124947407 ideals in 8 passes
  74. Tue May 02 02:11:22 2023 max relations containing the same ideal: 172
  75. Tue May 02 02:12:28 2023 removing 9734695 relations and 7734695 ideals in 2000000 cliques
  76. Tue May 02 02:12:33 2023 commencing in-memory singleton removal
  77. Tue May 02 02:12:43 2023 begin with 127294740 relations and 124947407 unique ideals
  78. Tue May 02 02:14:26 2023 reduce to 126693907 relations and 116603681 ideals in 9 passes
  79. Tue May 02 02:14:26 2023 max relations containing the same ideal: 163
  80. Tue May 02 02:15:28 2023 removing 9469110 relations and 7469110 ideals in 2000000 cliques
  81. Tue May 02 02:15:31 2023 commencing in-memory singleton removal
  82. Tue May 02 02:15:41 2023 begin with 117224797 relations and 116603681 unique ideals
  83. Tue May 02 02:17:05 2023 reduce to 116615571 relations and 108516699 ideals in 8 passes
  84. Tue May 02 02:17:05 2023 max relations containing the same ideal: 157
  85. Tue May 02 02:18:02 2023 removing 9298712 relations and 7298712 ideals in 2000000 cliques
  86. Tue May 02 02:18:06 2023 commencing in-memory singleton removal
  87. Tue May 02 02:18:14 2023 begin with 107316859 relations and 108516699 unique ideals
  88. Tue May 02 02:19:40 2023 reduce to 106687021 relations and 100578494 ideals in 9 passes
  89. Tue May 02 02:19:40 2023 max relations containing the same ideal: 147
  90. Tue May 02 02:20:33 2023 removing 9184170 relations and 7184170 ideals in 2000000 cliques
  91. Tue May 02 02:20:36 2023 commencing in-memory singleton removal
  92. Tue May 02 02:20:44 2023 begin with 97502851 relations and 100578494 unique ideals
  93. Tue May 02 02:22:01 2023 reduce to 96836193 relations and 92716711 ideals in 9 passes
  94. Tue May 02 02:22:01 2023 max relations containing the same ideal: 139
  95. Tue May 02 02:22:49 2023 removing 9114487 relations and 7114487 ideals in 2000000 cliques
  96. Tue May 02 02:22:52 2023 commencing in-memory singleton removal
  97. Tue May 02 02:22:59 2023 begin with 87721706 relations and 92716711 unique ideals
  98. Tue May 02 02:24:16 2023 reduce to 87004655 relations and 84872035 ideals in 10 passes
  99. Tue May 02 02:24:16 2023 max relations containing the same ideal: 127
  100. Tue May 02 02:25:00 2023 removing 5200719 relations and 4210814 ideals in 989905 cliques
  101. Tue May 02 02:25:02 2023 commencing in-memory singleton removal
  102. Tue May 02 02:25:09 2023 begin with 81803936 relations and 84872035 unique ideals
  103. Tue May 02 02:26:13 2023 reduce to 81564103 relations and 80419024 ideals in 9 passes
  104. Tue May 02 02:26:13 2023 max relations containing the same ideal: 120
  105. Tue May 02 02:27:04 2023 relations with 0 large ideals: 74642
  106. Tue May 02 02:27:04 2023 relations with 1 large ideals: 12738
  107. Tue May 02 02:27:04 2023 relations with 2 large ideals: 118522
  108. Tue May 02 02:27:04 2023 relations with 3 large ideals: 932788
  109. Tue May 02 02:27:04 2023 relations with 4 large ideals: 4138661
  110. Tue May 02 02:27:04 2023 relations with 5 large ideals: 11146356
  111. Tue May 02 02:27:04 2023 relations with 6 large ideals: 19032643
  112. Tue May 02 02:27:04 2023 relations with 7+ large ideals: 46107753
  113. Tue May 02 02:27:04 2023 commencing 2-way merge
  114. Tue May 02 02:28:04 2023 reduce to 50993133 relation sets and 49848054 unique ideals
  115. Tue May 02 02:28:04 2023 commencing full merge
  116. Tue May 02 02:52:12 2023 memory use: 6837.4 MB
  117. Tue May 02 02:52:24 2023 found 24028811 cycles, need 23966254
  118. Tue May 02 02:52:26 2023 weight of 23966254 cycles is about 2492834324 (104.01/cycle)
  119. Tue May 02 02:52:26 2023 distribution of cycle lengths:
  120. Tue May 02 02:52:26 2023 1 relations: 2141325
  121. Tue May 02 02:52:26 2023 2 relations: 2099832
  122. Tue May 02 02:52:26 2023 3 relations: 2042686
  123. Tue May 02 02:52:26 2023 4 relations: 1933584
  124. Tue May 02 02:52:26 2023 5 relations: 1824129
  125. Tue May 02 02:52:26 2023 6 relations: 1697312
  126. Tue May 02 02:52:26 2023 7 relations: 1591101
  127. Tue May 02 02:52:26 2023 8 relations: 1473732
  128. Tue May 02 02:52:26 2023 9 relations: 1340519
  129. Tue May 02 02:52:26 2023 10+ relations: 7822034
  130. Tue May 02 02:52:26 2023 heaviest cycle: 28 relations
  131. Tue May 02 02:53:13 2023 commencing cycle optimization
  132. Tue May 02 02:53:53 2023 start with 185569288 relations
  133. Tue May 02 03:02:40 2023 pruned 6258676 relations
  134. Tue May 02 03:02:40 2023 memory use: 5268.5 MB
  135. Tue May 02 03:02:40 2023 distribution of cycle lengths:
  136. Tue May 02 03:02:40 2023 1 relations: 2141325
  137. Tue May 02 03:02:40 2023 2 relations: 2138347
  138. Tue May 02 03:02:40 2023 3 relations: 2111402
  139. Tue May 02 03:02:40 2023 4 relations: 1992906
  140. Tue May 02 03:02:40 2023 5 relations: 1888626
  141. Tue May 02 03:02:40 2023 6 relations: 1750589
  142. Tue May 02 03:02:40 2023 7 relations: 1642559
  143. Tue May 02 03:02:40 2023 8 relations: 1510671
  144. Tue May 02 03:02:40 2023 9 relations: 1373876
  145. Tue May 02 03:02:40 2023 10+ relations: 7415953
  146. Tue May 02 03:02:40 2023 heaviest cycle: 28 relations
  147. Tue May 02 03:03:55 2023 RelProcTime: 13772
  148. Tue May 02 03:03:55 2023
  149. Tue May 02 03:03:55 2023 commencing linear algebra
  150. Tue May 02 03:04:02 2023 read 23966254 cycles
  151. Tue May 02 03:04:47 2023 cycles contain 80746927 unique relations
  152. Tue May 02 03:17:51 2023 read 80746927 relations
  153. Tue May 02 03:20:17 2023 using 20 quadratic characters above 4294917296
  154. Tue May 02 03:25:33 2023 building initial matrix
  155. Tue May 02 03:40:04 2023 memory use: 10202.6 MB
  156. Tue May 02 03:40:49 2023 read 23966254 cycles
  157. Tue May 02 03:40:56 2023 matrix is 23966077 x 23966254 (10055.5 MB) with weight 2856665856 (119.20/col)
  158. Tue May 02 03:40:56 2023 sparse part has weight 2372357148 (98.99/col)
  159. Tue May 02 03:46:42 2023 filtering completed in 2 passes
  160. Tue May 02 03:46:49 2023 matrix is 23964635 x 23964812 (10055.4 MB) with weight 2856621820 (119.20/col)
  161. Tue May 02 03:46:49 2023 sparse part has weight 2372343065 (98.99/col)
  162. Tue May 02 03:48:35 2023 matrix starts at (0, 0)
  163. Tue May 02 03:48:42 2023 matrix is 23964635 x 23964812 (10055.4 MB) with weight 2856621820 (119.20/col)
  164. Tue May 02 03:48:42 2023 sparse part has weight 2372343065 (98.99/col)
  165. Tue May 02 03:48:42 2023 saving the first 48 matrix rows for later
  166. Tue May 02 03:48:51 2023 matrix includes 64 packed rows
  167. Tue May 02 03:48:55 2023 matrix is 23964587 x 23964812 (9661.0 MB) with weight 2440544328 (101.84/col)
  168. Tue May 02 03:48:55 2023 sparse part has weight 2292933815 (95.68/col)
  169. Tue May 02 03:48:55 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  170. Tue May 02 03:51:15 2023 commencing Lanczos iteration (8 threads)
  171. Tue May 02 03:51:15 2023 memory use: 8368.5 MB
  172. Tue May 02 03:53:40 2023 linear algebra at 0.0%, ETA 609h31m
  173. Tue May 02 03:54:26 2023 checkpointing every 40000 dimensions
  174. Wed May 10 20:02:01 2023
  175. Wed May 10 20:02:01 2023
  176. Wed May 10 20:02:01 2023 Msieve v. 1.52 (SVN unknown)
  177. Wed May 10 20:02:01 2023 random seeds: 0df8c93c c8e97c17
  178. Wed May 10 20:02:01 2023 factoring 113439515122799589252251509831419342374338056291472879105760904415858869467282323568601770865617334188665793981814366997180275262990533959453282799967296852962152433154615339679540176210571005696615427166905476341387549766804595218875061501293827927 (249 digits)
  179. Wed May 10 20:02:02 2023 no P-1/P+1/ECM available, skipping
  180. Wed May 10 20:02:02 2023 commencing number field sieve (249-digit input)
  181. Wed May 10 20:02:02 2023 R0: 616873509628062366310139402483069746689975130
  182. Wed May 10 20:02:02 2023 R1: -23861715484377209601555171628930521
  183. Wed May 10 20:02:02 2023 A0: -9261
  184. Wed May 10 20:02:02 2023 A1: -18522
  185. Wed May 10 20:02:02 2023 A2: -7938
  186. Wed May 10 20:02:02 2023 A3: -882
  187. Wed May 10 20:02:02 2023 A4: 84
  188. Wed May 10 20:02:02 2023 A5: 21
  189. Wed May 10 20:02:02 2023 A6: 1
  190. Wed May 10 20:02:02 2023 skew 4.58, size 2.341e-013, alpha 1.443, combined = 3.642e-014 rroots = 6
  191. Wed May 10 20:02:02 2023
  192. Wed May 10 20:02:02 2023 commencing linear algebra
  193. Wed May 10 20:02:30 2023 matrix starts at (0, 0)
  194. Wed May 10 20:02:37 2023 matrix is 23964635 x 23964812 (10055.4 MB) with weight 2856621820 (119.20/col)
  195. Wed May 10 20:02:37 2023 sparse part has weight 2372343065 (98.99/col)
  196. Wed May 10 20:02:37 2023 saving the first 48 matrix rows for later
  197. Wed May 10 20:02:47 2023 matrix includes 64 packed rows
  198. Wed May 10 20:02:51 2023 matrix is 23964587 x 23964812 (9661.0 MB) with weight 2440544328 (101.84/col)
  199. Wed May 10 20:02:51 2023 sparse part has weight 2292933815 (95.68/col)
  200. Wed May 10 20:02:51 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  201. Wed May 10 20:05:07 2023 commencing Lanczos iteration (8 threads)
  202. Wed May 10 20:05:07 2023 memory use: 8368.5 MB
  203. Wed May 10 20:05:09 2023 restarting at iteration 127151 (dim = 8040006)
  204. Wed May 10 20:07:32 2023 linear algebra at 33.6%, ETA 417h13m
  205. Wed May 10 20:08:19 2023 checkpointing every 40000 dimensions
  206. Sat May 27 19:21:32 2023 lanczos halted after 378984 iterations (dim = 23964585)
  207. Sat May 27 19:21:55 2023 recovered 33 nontrivial dependencies
  208. Sat May 27 19:22:13 2023 BLanczosTime: 1466411
  209. Sat May 27 19:22:13 2023
  210. Sat May 27 19:22:13 2023 commencing square root phase
  211. Sat May 27 19:22:13 2023 reading relations for dependency 1
  212. Sat May 27 19:22:19 2023 read 11982235 cycles
  213. Sat May 27 19:23:14 2023 cycles contain 40371350 unique relations
  214. Sat May 27 19:32:25 2023 read 40371350 relations
  215. Sat May 27 19:36:46 2023 multiplying 40371350 relations
  216. Sat May 27 20:19:45 2023 multiply complete, coefficients have about 1111.24 million bits
  217. Sat May 27 20:20:00 2023 initial square root is modulo 96581
  218. Sat May 27 21:09:49 2023 GCD is N, no factor found
  219. Sat May 27 21:09:49 2023 reading relations for dependency 2
  220. Sat May 27 21:09:55 2023 read 11986913 cycles
  221. Sat May 27 21:10:17 2023 cycles contain 40383326 unique relations
  222. Sat May 27 21:17:28 2023 read 40383326 relations
  223. Sat May 27 21:21:15 2023 multiplying 40383326 relations
  224. Sat May 27 22:03:26 2023 multiply complete, coefficients have about 1111.57 million bits
  225. Sat May 27 22:03:42 2023 initial square root is modulo 96959
  226. Sat May 27 22:54:17 2023 sqrtTime: 12724
  227. Sat May 27 22:54:17 2023 prp98 factor: 24927771712308924833085245982933999569438064925628444475853747803792354587392847487057556645824487
  228. Sat May 27 22:54:17 2023 prp151 factor: 4550728257302878668345368458460238334860930319123823679374894708944451374485374021837989360656030497905631959449564401703743084575900285217531844495121
  229. Sat May 27 22:54:17 2023 elapsed time 410:52:16
  230.  
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