gchilders

71119_236

Oct 1st, 2021
181
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  1. Fri Oct 1 03:46:28 2021
  2. Fri Oct 1 03:46:28 2021
  3. Fri Oct 1 03:46:28 2021 Msieve v. 1.54 (SVN unknown)
  4. Fri Oct 1 03:46:28 2021 random seeds: 0cadf539 6dfbee34
  5. Fri Oct 1 03:46:28 2021 factoring 711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119 (237 digits)
  6. Fri Oct 1 03:46:28 2021 no P-1/P+1/ECM available, skipping
  7. Fri Oct 1 03:46:28 2021 commencing number field sieve (237-digit input)
  8. Fri Oct 1 03:46:28 2021 R0: -2000000000000000000000000000000000000000
  9. Fri Oct 1 03:46:28 2021 R1: 1
  10. Fri Oct 1 03:46:28 2021 A0: 71
  11. Fri Oct 1 03:46:28 2021 A1: 0
  12. Fri Oct 1 03:46:28 2021 A2: 0
  13. Fri Oct 1 03:46:28 2021 A3: 0
  14. Fri Oct 1 03:46:28 2021 A4: 0
  15. Fri Oct 1 03:46:28 2021 A5: 0
  16. Fri Oct 1 03:46:28 2021 A6: 100
  17. Fri Oct 1 03:46:28 2021 skew 1.00, size 7.422e-12, alpha -0.438, combined = 5.227e-13 rroots = 0
  18. Fri Oct 1 03:46:28 2021
  19. Fri Oct 1 03:46:28 2021 commencing relation filtering
  20. Fri Oct 1 03:46:28 2021 setting target matrix density to 100.0
  21. Fri Oct 1 03:46:28 2021 estimated available RAM is 515600.8 MB
  22. Fri Oct 1 03:46:28 2021 commencing duplicate removal, pass 1
  23. Fri Oct 1 03:55:47 2021 skipped 59 relations with b > 2^32
  24. Fri Oct 1 03:55:47 2021 skipped 54 relations with composite factors
  25. Fri Oct 1 03:55:47 2021 found 17127810 hash collisions in 106988033 relations
  26. Fri Oct 1 03:55:57 2021 added 1219942 free relations
  27. Fri Oct 1 03:55:57 2021 commencing duplicate removal, pass 2
  28. Fri Oct 1 03:57:26 2021 found 15435250 duplicates and 92772725 unique relations
  29. Fri Oct 1 03:57:26 2021 memory use: 660.8 MB
  30. Fri Oct 1 03:57:26 2021 reading ideals above 720000
  31. Fri Oct 1 03:57:26 2021 commencing singleton removal, initial pass
  32. Fri Oct 1 04:05:52 2021 memory use: 2756.0 MB
  33. Fri Oct 1 04:05:52 2021 reading all ideals from disk
  34. Fri Oct 1 04:05:53 2021 memory use: 3605.9 MB
  35. Fri Oct 1 04:05:56 2021 keeping 89105079 ideals with weight <= 200, target excess is 508214
  36. Fri Oct 1 04:06:00 2021 commencing in-memory singleton removal
  37. Fri Oct 1 04:06:02 2021 begin with 92772725 relations and 89105079 unique ideals
  38. Fri Oct 1 04:06:30 2021 reduce to 55787546 relations and 47935491 ideals in 14 passes
  39. Fri Oct 1 04:06:30 2021 max relations containing the same ideal: 149
  40. Fri Oct 1 04:06:43 2021 removing 5854907 relations and 4854907 ideals in 1000000 cliques
  41. Fri Oct 1 04:06:44 2021 commencing in-memory singleton removal
  42. Fri Oct 1 04:06:46 2021 begin with 49932639 relations and 47935491 unique ideals
  43. Fri Oct 1 04:06:58 2021 reduce to 49423988 relations and 42560534 ideals in 8 passes
  44. Fri Oct 1 04:06:58 2021 max relations containing the same ideal: 138
  45. Fri Oct 1 04:07:10 2021 removing 4550329 relations and 3550329 ideals in 1000000 cliques
  46. Fri Oct 1 04:07:11 2021 commencing in-memory singleton removal
  47. Fri Oct 1 04:07:12 2021 begin with 44873659 relations and 42560534 unique ideals
  48. Fri Oct 1 04:07:24 2021 reduce to 44537366 relations and 38667234 ideals in 8 passes
  49. Fri Oct 1 04:07:24 2021 max relations containing the same ideal: 130
  50. Fri Oct 1 04:07:34 2021 removing 4146166 relations and 3146166 ideals in 1000000 cliques
  51. Fri Oct 1 04:07:35 2021 commencing in-memory singleton removal
  52. Fri Oct 1 04:07:36 2021 begin with 40391200 relations and 38667234 unique ideals
  53. Fri Oct 1 04:07:47 2021 reduce to 40085943 relations and 35209509 ideals in 8 passes
  54. Fri Oct 1 04:07:47 2021 max relations containing the same ideal: 123
  55. Fri Oct 1 04:07:56 2021 removing 3942215 relations and 2942215 ideals in 1000000 cliques
  56. Fri Oct 1 04:07:57 2021 commencing in-memory singleton removal
  57. Fri Oct 1 04:07:58 2021 begin with 36143728 relations and 35209509 unique ideals
  58. Fri Oct 1 04:08:07 2021 reduce to 35841950 relations and 31958884 ideals in 8 passes
  59. Fri Oct 1 04:08:07 2021 max relations containing the same ideal: 114
  60. Fri Oct 1 04:08:16 2021 removing 3824920 relations and 2824920 ideals in 1000000 cliques
  61. Fri Oct 1 04:08:17 2021 commencing in-memory singleton removal
  62. Fri Oct 1 04:08:18 2021 begin with 32017030 relations and 31958884 unique ideals
  63. Fri Oct 1 04:08:27 2021 reduce to 31706049 relations and 28815380 ideals in 9 passes
  64. Fri Oct 1 04:08:27 2021 max relations containing the same ideal: 109
  65. Fri Oct 1 04:08:35 2021 removing 3754796 relations and 2754796 ideals in 1000000 cliques
  66. Fri Oct 1 04:08:36 2021 commencing in-memory singleton removal
  67. Fri Oct 1 04:08:36 2021 begin with 27951253 relations and 28815380 unique ideals
  68. Fri Oct 1 04:08:44 2021 reduce to 27619888 relations and 25720281 ideals in 9 passes
  69. Fri Oct 1 04:08:44 2021 max relations containing the same ideal: 94
  70. Fri Oct 1 04:08:51 2021 removing 3717641 relations and 2717641 ideals in 1000000 cliques
  71. Fri Oct 1 04:08:52 2021 commencing in-memory singleton removal
  72. Fri Oct 1 04:08:52 2021 begin with 23902247 relations and 25720281 unique ideals
  73. Fri Oct 1 04:08:59 2021 reduce to 23532616 relations and 22621541 ideals in 9 passes
  74. Fri Oct 1 04:08:59 2021 max relations containing the same ideal: 83
  75. Fri Oct 1 04:09:05 2021 removing 1507509 relations and 1185963 ideals in 321546 cliques
  76. Fri Oct 1 04:09:05 2021 commencing in-memory singleton removal
  77. Fri Oct 1 04:09:06 2021 begin with 22025107 relations and 22621541 unique ideals
  78. Fri Oct 1 04:09:11 2021 reduce to 21960762 relations and 21370491 ideals in 8 passes
  79. Fri Oct 1 04:09:11 2021 max relations containing the same ideal: 78
  80. Fri Oct 1 04:09:19 2021 relations with 0 large ideals: 18849
  81. Fri Oct 1 04:09:19 2021 relations with 1 large ideals: 6713
  82. Fri Oct 1 04:09:19 2021 relations with 2 large ideals: 71731
  83. Fri Oct 1 04:09:19 2021 relations with 3 large ideals: 492511
  84. Fri Oct 1 04:09:19 2021 relations with 4 large ideals: 1855603
  85. Fri Oct 1 04:09:19 2021 relations with 5 large ideals: 4160609
  86. Fri Oct 1 04:09:19 2021 relations with 6 large ideals: 5806646
  87. Fri Oct 1 04:09:19 2021 relations with 7+ large ideals: 9548100
  88. Fri Oct 1 04:09:19 2021 commencing 2-way merge
  89. Fri Oct 1 04:09:27 2021 reduce to 14102194 relation sets and 13511923 unique ideals
  90. Fri Oct 1 04:09:27 2021 commencing full merge
  91. Fri Oct 1 04:12:33 2021 memory use: 1849.9 MB
  92. Fri Oct 1 04:12:34 2021 found 6790187 cycles, need 6720123
  93. Fri Oct 1 04:12:35 2021 weight of 6720123 cycles is about 672080701 (100.01/cycle)
  94. Fri Oct 1 04:12:35 2021 distribution of cycle lengths:
  95. Fri Oct 1 04:12:35 2021 1 relations: 482484
  96. Fri Oct 1 04:12:35 2021 2 relations: 546153
  97. Fri Oct 1 04:12:35 2021 3 relations: 585049
  98. Fri Oct 1 04:12:35 2021 4 relations: 574900
  99. Fri Oct 1 04:12:35 2021 5 relations: 564344
  100. Fri Oct 1 04:12:35 2021 6 relations: 541638
  101. Fri Oct 1 04:12:35 2021 7 relations: 511052
  102. Fri Oct 1 04:12:35 2021 8 relations: 475393
  103. Fri Oct 1 04:12:35 2021 9 relations: 429127
  104. Fri Oct 1 04:12:35 2021 10+ relations: 2009983
  105. Fri Oct 1 04:12:35 2021 heaviest cycle: 26 relations
  106. Fri Oct 1 04:12:37 2021 commencing cycle optimization
  107. Fri Oct 1 04:12:44 2021 start with 49672637 relations
  108. Fri Oct 1 04:13:43 2021 pruned 1909761 relations
  109. Fri Oct 1 04:13:43 2021 memory use: 1417.2 MB
  110. Fri Oct 1 04:13:43 2021 distribution of cycle lengths:
  111. Fri Oct 1 04:13:43 2021 1 relations: 482484
  112. Fri Oct 1 04:13:43 2021 2 relations: 558973
  113. Fri Oct 1 04:13:43 2021 3 relations: 608266
  114. Fri Oct 1 04:13:43 2021 4 relations: 595824
  115. Fri Oct 1 04:13:43 2021 5 relations: 589705
  116. Fri Oct 1 04:13:43 2021 6 relations: 563353
  117. Fri Oct 1 04:13:43 2021 7 relations: 532312
  118. Fri Oct 1 04:13:43 2021 8 relations: 491480
  119. Fri Oct 1 04:13:43 2021 9 relations: 441168
  120. Fri Oct 1 04:13:43 2021 10+ relations: 1856558
  121. Fri Oct 1 04:13:43 2021 heaviest cycle: 26 relations
  122. Fri Oct 1 04:13:52 2021 RelProcTime: 1644
  123. Fri Oct 1 04:13:52 2021
  124. Fri Oct 1 04:13:52 2021 commencing linear algebra
  125. Fri Oct 1 04:13:52 2021 using VBITS=384
  126. Fri Oct 1 04:13:52 2021 read 6720123 cycles
  127. Fri Oct 1 04:13:59 2021 cycles contain 21627584 unique relations
  128. Fri Oct 1 04:16:11 2021 read 21627584 relations
  129. Fri Oct 1 04:16:34 2021 using 20 quadratic characters above 4294917295
  130. Fri Oct 1 04:17:34 2021 building initial matrix
  131. Fri Oct 1 04:20:10 2021 memory use: 2798.9 MB
  132. Fri Oct 1 04:20:12 2021 read 6720123 cycles
  133. Fri Oct 1 04:20:13 2021 matrix is 6719946 x 6720123 (2702.7 MB) with weight 784270679 (116.70/col)
  134. Fri Oct 1 04:20:13 2021 sparse part has weight 634567371 (94.43/col)
  135. Fri Oct 1 04:20:47 2021 filtering completed in 2 passes
  136. Fri Oct 1 04:20:48 2021 matrix is 6719414 x 6719583 (2702.6 MB) with weight 784252152 (116.71/col)
  137. Fri Oct 1 04:20:48 2021 sparse part has weight 634560824 (94.43/col)
  138. Fri Oct 1 04:20:57 2021 matrix starts at (0, 0)
  139. Fri Oct 1 04:20:58 2021 matrix is 6719414 x 6719583 (2702.6 MB) with weight 784252152 (116.71/col)
  140. Fri Oct 1 04:20:58 2021 sparse part has weight 634560824 (94.43/col)
  141. Fri Oct 1 04:20:58 2021 saving the first 368 matrix rows for later
  142. Fri Oct 1 04:20:59 2021 matrix includes 384 packed rows
  143. Fri Oct 1 04:21:02 2021 matrix is 6719046 x 6719583 (2534.8 MB) with weight 561239827 (83.52/col)
  144. Fri Oct 1 04:21:02 2021 sparse part has weight 530092601 (78.89/col)
  145. Fri Oct 1 04:21:02 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  146. Fri Oct 1 04:21:02 2021 selected card has CUDA arch 7.0
  147. Fri Oct 1 04:21:23 2021 commencing Lanczos iteration
  148. Fri Oct 1 04:21:24 2021 memory use: 6556.4 MB
  149. Fri Oct 1 04:21:26 2021 linear algebra at 0.0%, ETA 1h37m
  150. Fri Oct 1 04:21:27 2021 checkpointing every 5070000 dimensions
  151. Fri Oct 1 05:53:34 2021 lanczos halted after 17534 iterations (dim = 6719044)
  152. Fri Oct 1 05:54:07 2021 recovered 36 nontrivial dependencies
  153. Fri Oct 1 05:54:07 2021 BLanczosTime: 6015
  154. Fri Oct 1 05:54:07 2021
  155. Fri Oct 1 05:54:07 2021 commencing square root phase
  156. Fri Oct 1 05:54:07 2021 handling dependencies 1 to 64
  157. Fri Oct 1 05:54:07 2021 reading relations for dependency 1
  158. Fri Oct 1 05:54:08 2021 read 3357841 cycles
  159. Fri Oct 1 05:54:11 2021 cycles contain 10810356 unique relations
  160. Fri Oct 1 05:55:50 2021 read 10810356 relations
  161. Fri Oct 1 05:56:22 2021 multiplying 10810356 relations
  162. Fri Oct 1 06:02:07 2021 multiply complete, coefficients have about 345.18 million bits
  163. Fri Oct 1 06:02:08 2021 initial square root is modulo 1562269
  164. Fri Oct 1 06:08:30 2021 sqrtTime: 863
  165. Fri Oct 1 06:08:30 2021 p71 factor: 91727010518188830727434067563000139538155555728475315319770188646670459
  166. Fri Oct 1 06:08:30 2021 p166 factor: 7752472331692339457098550644589891999805522443093285375303049417909315451926992046140058221386853588945032789832207706718736283616102074575148139616370286918195639741
  167. Fri Oct 1 06:08:30 2021 elapsed time 02:22:02
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