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Msieve log of 5m2_383

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Mar 3rd, 2023
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  1. Wed Feb 22 07:19:23 2023
  2. Wed Feb 22 07:19:23 2023
  3. Wed Feb 22 07:19:23 2023 Msieve v. 1.52 (SVN unknown)
  4. Wed Feb 22 07:19:23 2023 random seeds: d703097c db657711
  5. Wed Feb 22 07:19:23 2023 factoring 609559559230593455047471419877318252459259201856331159948597564646167877997190427785682412327469590932402984959844813921632967214724324782389347370703171026026849339615087055028564426108788390637751128482813295310373 (216 digits)
  6. Wed Feb 22 07:19:24 2023 no P-1/P+1/ECM available, skipping
  7. Wed Feb 22 07:19:24 2023 commencing number field sieve (216-digit input)
  8. Wed Feb 22 07:19:24 2023 R0: 542101086242752217003726400434970855712890625
  9. Wed Feb 22 07:19:24 2023 R1: -18446744073709551616
  10. Wed Feb 22 07:19:24 2023 A0: -5
  11. Wed Feb 22 07:19:24 2023 A1: 0
  12. Wed Feb 22 07:19:24 2023 A2: 0
  13. Wed Feb 22 07:19:24 2023 A3: 0
  14. Wed Feb 22 07:19:24 2023 A4: 0
  15. Wed Feb 22 07:19:24 2023 A5: 0
  16. Wed Feb 22 07:19:24 2023 A6: 2
  17. Wed Feb 22 07:19:24 2023 skew 1.16, size 2.391e-013, alpha 2.819, combined = 3.968e-014 rroots = 2
  18. Wed Feb 22 07:19:24 2023
  19. Wed Feb 22 07:19:24 2023 commencing relation filtering
  20. Wed Feb 22 07:19:24 2023 setting target matrix density to 112.0
  21. Wed Feb 22 07:19:24 2023 estimated available RAM is 130978.7 MB
  22. Wed Feb 22 07:19:24 2023 commencing duplicate removal, pass 1
  23. Wed Feb 22 07:22:18 2023 error -9 reading relation 19295041
  24. Wed Feb 22 07:22:22 2023 error -1 reading relation 19732813
  25. Wed Feb 22 07:22:54 2023 error -9 reading relation 23199316
  26. Wed Feb 22 07:22:54 2023 error -15 reading relation 23201665
  27. Wed Feb 22 07:22:54 2023 error -5 reading relation 23204570
  28. Wed Feb 22 08:23:51 2023 error -15 reading relation 429407998
  29. Wed Feb 22 08:23:51 2023 error -9 reading relation 429414939
  30. Wed Feb 22 08:23:52 2023 error -1 reading relation 429594854
  31. Wed Feb 22 08:23:52 2023 error -9 reading relation 429620928
  32. Wed Feb 22 08:25:58 2023 skipped 1474 relations with b > 2^32
  33. Wed Feb 22 08:25:58 2023 found 107319243 hash collisions in 441901892 relations
  34. Wed Feb 22 08:26:17 2023 commencing duplicate removal, pass 2
  35. Wed Feb 22 08:30:15 2023 found 109907235 duplicates and 331994657 unique relations
  36. Wed Feb 22 08:30:15 2023 memory use: 2387.0 MB
  37. Wed Feb 22 08:30:15 2023 reading ideals above 720000
  38. Wed Feb 22 08:30:15 2023 commencing singleton removal, initial pass
  39. Wed Feb 22 09:38:28 2023 memory use: 11024.0 MB
  40. Wed Feb 22 09:38:29 2023 reading all ideals from disk
  41. Wed Feb 22 09:38:38 2023 memory use: 14059.3 MB
  42. Wed Feb 22 09:39:46 2023 keeping 331316770 ideals with weight <= 200, target excess is 1729363
  43. Wed Feb 22 09:40:54 2023 commencing in-memory singleton removal
  44. Wed Feb 22 09:41:52 2023 begin with 331994657 relations and 331316770 unique ideals
  45. Wed Feb 22 09:53:03 2023 reduce to 185401473 relations and 166857431 ideals in 20 passes
  46. Wed Feb 22 09:53:03 2023 max relations containing the same ideal: 143
  47. Wed Feb 22 09:55:26 2023 removing 16177155 relations and 14177155 ideals in 2000000 cliques
  48. Wed Feb 22 09:55:31 2023 commencing in-memory singleton removal
  49. Wed Feb 22 09:55:57 2023 begin with 169224318 relations and 166857431 unique ideals
  50. Wed Feb 22 09:59:42 2023 reduce to 167992518 relations and 151429445 ideals in 9 passes
  51. Wed Feb 22 09:59:42 2023 max relations containing the same ideal: 136
  52. Wed Feb 22 10:01:48 2023 removing 12133735 relations and 10133735 ideals in 2000000 cliques
  53. Wed Feb 22 10:01:52 2023 commencing in-memory singleton removal
  54. Wed Feb 22 10:02:16 2023 begin with 155858783 relations and 151429445 unique ideals
  55. Wed Feb 22 10:05:40 2023 reduce to 155079000 relations and 140505893 ideals in 9 passes
  56. Wed Feb 22 10:05:40 2023 max relations containing the same ideal: 128
  57. Wed Feb 22 10:07:45 2023 removing 10893528 relations and 8893528 ideals in 2000000 cliques
  58. Wed Feb 22 10:07:48 2023 commencing in-memory singleton removal
  59. Wed Feb 22 10:08:11 2023 begin with 144185472 relations and 140505893 unique ideals
  60. Wed Feb 22 10:10:57 2023 reduce to 143501091 relations and 130919098 ideals in 8 passes
  61. Wed Feb 22 10:10:57 2023 max relations containing the same ideal: 122
  62. Wed Feb 22 10:12:43 2023 removing 10259025 relations and 8259025 ideals in 2000000 cliques
  63. Wed Feb 22 10:12:47 2023 commencing in-memory singleton removal
  64. Wed Feb 22 10:13:07 2023 begin with 133242066 relations and 130919098 unique ideals
  65. Wed Feb 22 10:16:00 2023 reduce to 132590896 relations and 122000203 ideals in 9 passes
  66. Wed Feb 22 10:16:00 2023 max relations containing the same ideal: 117
  67. Wed Feb 22 10:17:37 2023 removing 9882564 relations and 7882564 ideals in 2000000 cliques
  68. Wed Feb 22 10:17:40 2023 commencing in-memory singleton removal
  69. Wed Feb 22 10:17:58 2023 begin with 122708332 relations and 122000203 unique ideals
  70. Wed Feb 22 10:20:35 2023 reduce to 122058442 relations and 113458841 ideals in 9 passes
  71. Wed Feb 22 10:20:35 2023 max relations containing the same ideal: 110
  72. Wed Feb 22 10:22:03 2023 removing 9642490 relations and 7642490 ideals in 2000000 cliques
  73. Wed Feb 22 10:22:06 2023 commencing in-memory singleton removal
  74. Wed Feb 22 10:22:23 2023 begin with 112415952 relations and 113458841 unique ideals
  75. Wed Feb 22 10:24:29 2023 reduce to 111747974 relations and 105138514 ideals in 8 passes
  76. Wed Feb 22 10:24:29 2023 max relations containing the same ideal: 104
  77. Wed Feb 22 10:25:51 2023 removing 9502891 relations and 7502891 ideals in 2000000 cliques
  78. Wed Feb 22 10:25:54 2023 commencing in-memory singleton removal
  79. Wed Feb 22 10:26:09 2023 begin with 102245083 relations and 105138514 unique ideals
  80. Wed Feb 22 10:28:03 2023 reduce to 101543367 relations and 96922623 ideals in 8 passes
  81. Wed Feb 22 10:28:03 2023 max relations containing the same ideal: 97
  82. Wed Feb 22 10:29:17 2023 removing 9425553 relations and 7425553 ideals in 2000000 cliques
  83. Wed Feb 22 10:29:20 2023 commencing in-memory singleton removal
  84. Wed Feb 22 10:29:33 2023 begin with 92117814 relations and 96922623 unique ideals
  85. Wed Feb 22 10:31:41 2023 reduce to 91359159 relations and 88725100 ideals in 10 passes
  86. Wed Feb 22 10:31:41 2023 max relations containing the same ideal: 93
  87. Wed Feb 22 10:32:47 2023 removing 3747105 relations and 3119108 ideals in 627997 cliques
  88. Wed Feb 22 10:32:49 2023 commencing in-memory singleton removal
  89. Wed Feb 22 10:33:01 2023 begin with 87612054 relations and 88725100 unique ideals
  90. Wed Feb 22 10:34:38 2023 reduce to 87493187 relations and 85486374 ideals in 8 passes
  91. Wed Feb 22 10:34:38 2023 max relations containing the same ideal: 89
  92. Wed Feb 22 10:35:54 2023 relations with 0 large ideals: 64927
  93. Wed Feb 22 10:35:54 2023 relations with 1 large ideals: 33538
  94. Wed Feb 22 10:35:54 2023 relations with 2 large ideals: 398305
  95. Wed Feb 22 10:35:54 2023 relations with 3 large ideals: 2508265
  96. Wed Feb 22 10:35:54 2023 relations with 4 large ideals: 8673271
  97. Wed Feb 22 10:35:54 2023 relations with 5 large ideals: 18003918
  98. Wed Feb 22 10:35:54 2023 relations with 6 large ideals: 23425278
  99. Wed Feb 22 10:35:54 2023 relations with 7+ large ideals: 34385685
  100. Wed Feb 22 10:35:54 2023 commencing 2-way merge
  101. Wed Feb 22 10:37:23 2023 reduce to 54103403 relation sets and 52096590 unique ideals
  102. Wed Feb 22 10:37:23 2023 commencing full merge
  103. Wed Feb 22 11:07:36 2023 memory use: 6680.0 MB
  104. Wed Feb 22 11:07:49 2023 found 24626242 cycles, need 24488790
  105. Wed Feb 22 11:07:50 2023 weight of 24488790 cycles is about 2743176156 (112.02/cycle)
  106. Wed Feb 22 11:07:50 2023 distribution of cycle lengths:
  107. Wed Feb 22 11:07:50 2023 1 relations: 2054305
  108. Wed Feb 22 11:07:50 2023 2 relations: 2021432
  109. Wed Feb 22 11:07:50 2023 3 relations: 2017507
  110. Wed Feb 22 11:07:50 2023 4 relations: 1888325
  111. Wed Feb 22 11:07:50 2023 5 relations: 1802788
  112. Wed Feb 22 11:07:50 2023 6 relations: 1705042
  113. Wed Feb 22 11:07:50 2023 7 relations: 1584710
  114. Wed Feb 22 11:07:50 2023 8 relations: 1479924
  115. Wed Feb 22 11:07:50 2023 9 relations: 1364820
  116. Wed Feb 22 11:07:50 2023 10+ relations: 8569937
  117. Wed Feb 22 11:07:50 2023 heaviest cycle: 28 relations
  118. Wed Feb 22 11:08:49 2023 commencing cycle optimization
  119. Wed Feb 22 11:09:37 2023 start with 197705785 relations
  120. Wed Feb 22 11:20:29 2023 pruned 7053575 relations
  121. Wed Feb 22 11:20:30 2023 memory use: 5604.4 MB
  122. Wed Feb 22 11:20:30 2023 distribution of cycle lengths:
  123. Wed Feb 22 11:20:30 2023 1 relations: 2054305
  124. Wed Feb 22 11:20:30 2023 2 relations: 2067393
  125. Wed Feb 22 11:20:30 2023 3 relations: 2092754
  126. Wed Feb 22 11:20:30 2023 4 relations: 1951315
  127. Wed Feb 22 11:20:30 2023 5 relations: 1871402
  128. Wed Feb 22 11:20:30 2023 6 relations: 1761197
  129. Wed Feb 22 11:20:30 2023 7 relations: 1639929
  130. Wed Feb 22 11:20:30 2023 8 relations: 1520963
  131. Wed Feb 22 11:20:30 2023 9 relations: 1398905
  132. Wed Feb 22 11:20:30 2023 10+ relations: 8130627
  133. Wed Feb 22 11:20:30 2023 heaviest cycle: 28 relations
  134. Wed Feb 22 11:22:01 2023 RelProcTime: 14557
  135. Wed Feb 22 11:22:01 2023
  136. Wed Feb 22 11:22:01 2023 commencing linear algebra
  137. Wed Feb 22 11:22:08 2023 read 24488790 cycles
  138. Wed Feb 22 11:23:06 2023 cycles contain 86141111 unique relations
  139. Wed Feb 22 11:37:26 2023 read 86141111 relations
  140. Wed Feb 22 11:40:38 2023 using 20 quadratic characters above 4294917296
  141. Wed Feb 22 11:47:07 2023 building initial matrix
  142. Wed Feb 22 12:05:19 2023 memory use: 10999.5 MB
  143. Wed Feb 22 12:06:04 2023 read 24488790 cycles
  144. Wed Feb 22 12:06:11 2023 matrix is 24488613 x 24488790 (10824.3 MB) with weight 3085660615 (126.00/col)
  145. Wed Feb 22 12:06:11 2023 sparse part has weight 2592639749 (105.87/col)
  146. Wed Feb 22 12:14:42 2023 filtering completed in 2 passes
  147. Wed Feb 22 12:14:49 2023 matrix is 24485764 x 24485940 (10824.1 MB) with weight 3085567923 (126.01/col)
  148. Wed Feb 22 12:14:49 2023 sparse part has weight 2592606404 (105.88/col)
  149. Wed Feb 22 12:17:00 2023 matrix starts at (0, 0)
  150. Wed Feb 22 12:17:06 2023 matrix is 24485764 x 24485940 (10824.1 MB) with weight 3085567923 (126.01/col)
  151. Wed Feb 22 12:17:06 2023 sparse part has weight 2592606404 (105.88/col)
  152. Wed Feb 22 12:17:06 2023 saving the first 48 matrix rows for later
  153. Wed Feb 22 12:17:14 2023 matrix includes 64 packed rows
  154. Wed Feb 22 12:17:19 2023 matrix is 24485716 x 24485940 (10459.8 MB) with weight 2639220593 (107.79/col)
  155. Wed Feb 22 12:17:19 2023 sparse part has weight 2497107482 (101.98/col)
  156. Wed Feb 22 12:17:19 2023 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  157. Wed Feb 22 12:20:11 2023 commencing Lanczos iteration (24 threads)
  158. Wed Feb 22 12:20:11 2023 memory use: 9093.6 MB
  159. Wed Feb 22 12:21:06 2023 linear algebra at 0.0%, ETA 237h55m
  160. Wed Feb 22 12:21:24 2023 checkpointing every 110000 dimensions
  161. Fri Mar 03 15:35:27 2023 lanczos halted after 387226 iterations (dim = 24485714)
  162. Fri Mar 03 15:35:49 2023 recovered 37 nontrivial dependencies
  163. Fri Mar 03 15:36:24 2023 BLanczosTime: 792863
  164. Fri Mar 03 15:36:24 2023
  165. Fri Mar 03 15:36:24 2023 commencing square root phase
  166. Fri Mar 03 15:36:24 2023 handling dependencies 1 to 64
  167. Fri Mar 03 15:36:24 2023 reading relations for dependency 1
  168. Fri Mar 03 15:36:30 2023 read 12242010 cycles
  169. Fri Mar 03 15:36:59 2023 cycles contain 43069870 unique relations
  170. Fri Mar 03 15:44:34 2023 read 43069870 relations
  171. Fri Mar 03 15:49:00 2023 multiplying 43069870 relations
  172. Fri Mar 03 16:34:05 2023 multiply complete, coefficients have about 1178.43 million bits
  173. Fri Mar 03 16:34:18 2023 initial square root is modulo 193261
  174. Fri Mar 03 17:25:58 2023 sqrtTime: 6574
  175. Fri Mar 03 17:25:58 2023 prp93 factor: 336386223173700503588051203871921337857599100781275399612053095370394530809555636510103893227
  176. Fri Mar 03 17:25:58 2023 prp124 factor: 1812082413719523308900016619581528700317309018304160068838465118422073026370966201042330466490255670025901461096560337386799
  177. Fri Mar 03 17:25:58 2023 elapsed time 226:06:35
  178.  
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