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gchilders

118__231_7m1

gchilders
Sep 18th, 2021
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  1. Sat Sep 18 02:25:38 2021
  2. Sat Sep 18 02:25:38 2021
  3. Sat Sep 18 02:25:38 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Sep 18 02:25:38 2021 random seeds: 6703c35f a7783456
  5. Sat Sep 18 02:25:38 2021 factoring 8072349297047819478752325616134457732171662368371242259346889084767108701679623249382449962101542535767550614828550009754034634623845932158933755299591343974868106268579060205903073816638179 (190 digits)
  6. Sat Sep 18 02:25:38 2021 no P-1/P+1/ECM available, skipping
  7. Sat Sep 18 02:25:38 2021 commencing number field sieve (190-digit input)
  8. Sat Sep 18 02:25:38 2021 R0: 11884663122841427196075125788197601231
  9. Sat Sep 18 02:25:38 2021 R1: -1
  10. Sat Sep 18 02:25:38 2021 A0: 1
  11. Sat Sep 18 02:25:38 2021 A1: 1
  12. Sat Sep 18 02:25:38 2021 A2: 1
  13. Sat Sep 18 02:25:38 2021 A3: 1
  14. Sat Sep 18 02:25:38 2021 A4: 1
  15. Sat Sep 18 02:25:38 2021 A5: 1
  16. Sat Sep 18 02:25:38 2021 A6: 1
  17. Sat Sep 18 02:25:38 2021 skew 1.00, size 4.966e-11, alpha 2.428, combined = 2.035e-12 rroots = 0
  18. Sat Sep 18 02:25:38 2021
  19. Sat Sep 18 02:25:38 2021 commencing relation filtering
  20. Sat Sep 18 02:25:38 2021 setting target matrix density to 100.0
  21. Sat Sep 18 02:25:38 2021 estimated available RAM is 515600.8 MB
  22. Sat Sep 18 02:25:38 2021 commencing duplicate removal, pass 1
  23. Sat Sep 18 02:34:59 2021 skipped 8 relations with b > 2^32
  24. Sat Sep 18 02:34:59 2021 skipped 22 relations with composite factors
  25. Sat Sep 18 02:34:59 2021 found 14855420 hash collisions in 108527844 relations
  26. Sat Sep 18 02:34:59 2021 commencing duplicate removal, pass 2
  27. Sat Sep 18 02:36:22 2021 found 12292415 duplicates and 96235429 unique relations
  28. Sat Sep 18 02:36:22 2021 memory use: 426.4 MB
  29. Sat Sep 18 02:36:22 2021 reading ideals above 720000
  30. Sat Sep 18 02:36:22 2021 commencing singleton removal, initial pass
  31. Sat Sep 18 02:44:59 2021 memory use: 2756.0 MB
  32. Sat Sep 18 02:44:59 2021 reading all ideals from disk
  33. Sat Sep 18 02:44:59 2021 memory use: 3578.4 MB
  34. Sat Sep 18 02:45:02 2021 keeping 88464113 ideals with weight <= 200, target excess is 480719
  35. Sat Sep 18 02:45:06 2021 commencing in-memory singleton removal
  36. Sat Sep 18 02:45:09 2021 begin with 96235429 relations and 88464113 unique ideals
  37. Sat Sep 18 02:45:36 2021 reduce to 60371229 relations and 48643594 ideals in 13 passes
  38. Sat Sep 18 02:45:36 2021 max relations containing the same ideal: 155
  39. Sat Sep 18 02:45:50 2021 removing 8721499 relations and 6721499 ideals in 2000000 cliques
  40. Sat Sep 18 02:45:52 2021 commencing in-memory singleton removal
  41. Sat Sep 18 02:45:53 2021 begin with 51649730 relations and 48643594 unique ideals
  42. Sat Sep 18 02:46:08 2021 reduce to 50534613 relations and 40760742 ideals in 9 passes
  43. Sat Sep 18 02:46:08 2021 max relations containing the same ideal: 139
  44. Sat Sep 18 02:46:20 2021 removing 7084323 relations and 5084323 ideals in 2000000 cliques
  45. Sat Sep 18 02:46:22 2021 commencing in-memory singleton removal
  46. Sat Sep 18 02:46:23 2021 begin with 43450290 relations and 40760742 unique ideals
  47. Sat Sep 18 02:46:35 2021 reduce to 42661859 relations and 34855945 ideals in 9 passes
  48. Sat Sep 18 02:46:35 2021 max relations containing the same ideal: 130
  49. Sat Sep 18 02:46:45 2021 removing 6548793 relations and 4548793 ideals in 2000000 cliques
  50. Sat Sep 18 02:46:47 2021 commencing in-memory singleton removal
  51. Sat Sep 18 02:46:47 2021 begin with 36113066 relations and 34855945 unique ideals
  52. Sat Sep 18 02:46:56 2021 reduce to 35365548 relations and 29526454 ideals in 8 passes
  53. Sat Sep 18 02:46:56 2021 max relations containing the same ideal: 113
  54. Sat Sep 18 02:47:05 2021 removing 6288987 relations and 4288987 ideals in 2000000 cliques
  55. Sat Sep 18 02:47:07 2021 commencing in-memory singleton removal
  56. Sat Sep 18 02:47:07 2021 begin with 29076561 relations and 29526454 unique ideals
  57. Sat Sep 18 02:47:15 2021 reduce to 28299469 relations and 24419874 ideals in 9 passes
  58. Sat Sep 18 02:47:15 2021 max relations containing the same ideal: 94
  59. Sat Sep 18 02:47:22 2021 removing 6117007 relations and 4117007 ideals in 2000000 cliques
  60. Sat Sep 18 02:47:24 2021 commencing in-memory singleton removal
  61. Sat Sep 18 02:47:24 2021 begin with 22182462 relations and 24419874 unique ideals
  62. Sat Sep 18 02:47:29 2021 reduce to 21317655 relations and 19381924 ideals in 8 passes
  63. Sat Sep 18 02:47:29 2021 max relations containing the same ideal: 80
  64. Sat Sep 18 02:47:35 2021 removing 4421088 relations and 3042992 ideals in 1378096 cliques
  65. Sat Sep 18 02:47:36 2021 commencing in-memory singleton removal
  66. Sat Sep 18 02:47:36 2021 begin with 16896567 relations and 19381924 unique ideals
  67. Sat Sep 18 02:47:40 2021 reduce to 16292453 relations and 15698750 ideals in 8 passes
  68. Sat Sep 18 02:47:40 2021 max relations containing the same ideal: 66
  69. Sat Sep 18 02:47:45 2021 removing 223124 relations and 187056 ideals in 36068 cliques
  70. Sat Sep 18 02:47:45 2021 commencing in-memory singleton removal
  71. Sat Sep 18 02:47:45 2021 begin with 16069329 relations and 15698750 unique ideals
  72. Sat Sep 18 02:47:48 2021 reduce to 16067105 relations and 15509465 ideals in 5 passes
  73. Sat Sep 18 02:47:48 2021 max relations containing the same ideal: 64
  74. Sat Sep 18 02:47:50 2021 relations with 0 large ideals: 35092
  75. Sat Sep 18 02:47:50 2021 relations with 1 large ideals: 12796
  76. Sat Sep 18 02:47:50 2021 relations with 2 large ideals: 106133
  77. Sat Sep 18 02:47:50 2021 relations with 3 large ideals: 630326
  78. Sat Sep 18 02:47:50 2021 relations with 4 large ideals: 2001890
  79. Sat Sep 18 02:47:50 2021 relations with 5 large ideals: 3733170
  80. Sat Sep 18 02:47:50 2021 relations with 6 large ideals: 4263435
  81. Sat Sep 18 02:47:50 2021 relations with 7+ large ideals: 5284263
  82. Sat Sep 18 02:47:50 2021 commencing 2-way merge
  83. Sat Sep 18 02:47:55 2021 reduce to 10588277 relation sets and 10030637 unique ideals
  84. Sat Sep 18 02:47:55 2021 commencing full merge
  85. Sat Sep 18 02:50:26 2021 memory use: 1405.1 MB
  86. Sat Sep 18 02:50:27 2021 found 5083317 cycles, need 5030837
  87. Sat Sep 18 02:50:28 2021 weight of 5030837 cycles is about 503501106 (100.08/cycle)
  88. Sat Sep 18 02:50:28 2021 distribution of cycle lengths:
  89. Sat Sep 18 02:50:28 2021 1 relations: 266693
  90. Sat Sep 18 02:50:28 2021 2 relations: 361556
  91. Sat Sep 18 02:50:28 2021 3 relations: 411535
  92. Sat Sep 18 02:50:28 2021 4 relations: 420926
  93. Sat Sep 18 02:50:28 2021 5 relations: 421381
  94. Sat Sep 18 02:50:28 2021 6 relations: 409377
  95. Sat Sep 18 02:50:28 2021 7 relations: 388980
  96. Sat Sep 18 02:50:28 2021 8 relations: 360897
  97. Sat Sep 18 02:50:28 2021 9 relations: 326758
  98. Sat Sep 18 02:50:28 2021 10+ relations: 1662734
  99. Sat Sep 18 02:50:28 2021 heaviest cycle: 28 relations
  100. Sat Sep 18 02:50:29 2021 commencing cycle optimization
  101. Sat Sep 18 02:50:35 2021 start with 39938262 relations
  102. Sat Sep 18 02:51:27 2021 pruned 1708775 relations
  103. Sat Sep 18 02:51:28 2021 memory use: 1078.4 MB
  104. Sat Sep 18 02:51:28 2021 distribution of cycle lengths:
  105. Sat Sep 18 02:51:28 2021 1 relations: 266693
  106. Sat Sep 18 02:51:28 2021 2 relations: 369242
  107. Sat Sep 18 02:51:28 2021 3 relations: 427984
  108. Sat Sep 18 02:51:28 2021 4 relations: 437669
  109. Sat Sep 18 02:51:28 2021 5 relations: 441897
  110. Sat Sep 18 02:51:28 2021 6 relations: 428237
  111. Sat Sep 18 02:51:28 2021 7 relations: 408293
  112. Sat Sep 18 02:51:28 2021 8 relations: 375505
  113. Sat Sep 18 02:51:28 2021 9 relations: 338854
  114. Sat Sep 18 02:51:28 2021 10+ relations: 1536463
  115. Sat Sep 18 02:51:28 2021 heaviest cycle: 28 relations
  116. Sat Sep 18 02:51:32 2021 RelProcTime: 1554
  117. Sat Sep 18 02:51:32 2021
  118. Sat Sep 18 02:51:32 2021 commencing linear algebra
  119. Sat Sep 18 02:51:32 2021 using VBITS=384
  120. Sat Sep 18 02:51:33 2021 read 5030837 cycles
  121. Sat Sep 18 02:51:38 2021 cycles contain 15772497 unique relations
  122. Sat Sep 18 02:53:28 2021 read 15772497 relations
  123. Sat Sep 18 02:53:44 2021 using 20 quadratic characters above 4294917295
  124. Sat Sep 18 02:54:26 2021 building initial matrix
  125. Sat Sep 18 02:56:10 2021 memory use: 1902.1 MB
  126. Sat Sep 18 02:56:11 2021 read 5030837 cycles
  127. Sat Sep 18 02:56:12 2021 matrix is 5030660 x 5030837 (2020.0 MB) with weight 577028301 (114.70/col)
  128. Sat Sep 18 02:56:12 2021 sparse part has weight 474198369 (94.26/col)
  129. Sat Sep 18 02:56:38 2021 filtering completed in 2 passes
  130. Sat Sep 18 02:56:39 2021 matrix is 5030255 x 5030407 (2020.0 MB) with weight 577011887 (114.70/col)
  131. Sat Sep 18 02:56:39 2021 sparse part has weight 474190942 (94.26/col)
  132. Sat Sep 18 02:56:46 2021 matrix starts at (0, 0)
  133. Sat Sep 18 02:56:46 2021 matrix is 5030255 x 5030407 (2020.0 MB) with weight 577011887 (114.70/col)
  134. Sat Sep 18 02:56:46 2021 sparse part has weight 474190942 (94.26/col)
  135. Sat Sep 18 02:56:46 2021 saving the first 368 matrix rows for later
  136. Sat Sep 18 02:56:47 2021 matrix includes 384 packed rows
  137. Sat Sep 18 02:56:49 2021 matrix is 5029887 x 5030407 (1884.9 MB) with weight 416173186 (82.73/col)
  138. Sat Sep 18 02:56:49 2021 sparse part has weight 393499153 (78.22/col)
  139. Sat Sep 18 02:56:49 2021 using GPU 0 (Tesla V100-PCIE-32GB)
  140. Sat Sep 18 02:56:49 2021 selected card has CUDA arch 7.0
  141. Sat Sep 18 02:57:04 2021 commencing Lanczos iteration
  142. Sat Sep 18 02:57:05 2021 memory use: 4882.7 MB
  143. Sat Sep 18 02:57:06 2021 linear algebra at 0.0%, ETA 0h36m
  144. Sat Sep 18 02:57:08 2021 checkpointing every 5060000 dimensions
  145. Sat Sep 18 03:49:18 2021 lanczos halted after 13127 iterations (dim = 5029887)
  146. Sat Sep 18 03:49:37 2021 recovered 39 nontrivial dependencies
  147. Sat Sep 18 03:49:38 2021 BLanczosTime: 3486
  148. Sat Sep 18 03:49:38 2021
  149. Sat Sep 18 03:49:38 2021 commencing square root phase
  150. Sat Sep 18 03:49:38 2021 handling dependencies 1 to 64
  151. Sat Sep 18 03:49:38 2021 reading relations for dependency 1
  152. Sat Sep 18 03:49:38 2021 read 2513716 cycles
  153. Sat Sep 18 03:49:41 2021 cycles contain 7882598 unique relations
  154. Sat Sep 18 03:51:07 2021 read 7882598 relations
  155. Sat Sep 18 03:51:27 2021 multiplying 7882598 relations
  156. Sat Sep 18 03:54:16 2021 multiply complete, coefficients have about 191.78 million bits
  157. Sat Sep 18 03:54:17 2021 initial square root is modulo 7627541
  158. Sat Sep 18 03:57:35 2021 GCD is 1, no factor found
  159. Sat Sep 18 03:57:35 2021 reading relations for dependency 2
  160. Sat Sep 18 03:57:37 2021 read 2516618 cycles
  161. Sat Sep 18 03:57:40 2021 cycles contain 7889172 unique relations
  162. Sat Sep 18 03:59:07 2021 read 7889172 relations
  163. Sat Sep 18 03:59:27 2021 multiplying 7889172 relations
  164. Sat Sep 18 04:02:16 2021 multiply complete, coefficients have about 191.94 million bits
  165. Sat Sep 18 04:02:17 2021 initial square root is modulo 7730147
  166. Sat Sep 18 04:05:32 2021 sqrtTime: 954
  167. Sat Sep 18 04:05:32 2021 p76 factor: 6321363884703803709080504664715968019122682615337838807129812143460157856543
  168. Sat Sep 18 04:05:32 2021 p115 factor: 1276994877099384166344722298827920866479959740591692169507349500104141544085670894354700174127006967188996720849853
  169. Sat Sep 18 04:05:32 2021 elapsed time 01:39:54
  170.  
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