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860__303_13m1

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Nov 18th, 2024
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  1. Mon Nov 18 06:42:21 2024
  2. Mon Nov 18 06:42:21 2024
  3. Mon Nov 18 06:42:21 2024 Msieve v. 1.54 (SVN unknown)
  4. Mon Nov 18 06:42:21 2024 random seeds: 51bf63cb 3067fa6e
  5. Mon Nov 18 06:42:21 2024 factoring 1116052552137042440122528045623783443351690747219847064889086386939376329477876442798058379032024513866268513274201319262298203230211175056304192448249810747537005311668876365334969428281836330724201286400859669554701520668712613 (229 digits)
  6. Mon Nov 18 06:42:22 2024 no P-1/P+1/ECM available, skipping
  7. Mon Nov 18 06:42:22 2024 commencing number field sieve (229-digit input)
  8. Mon Nov 18 06:42:22 2024 R0: 7412133630946026506349930409353863321810
  9. Mon Nov 18 06:42:22 2024 R1: -86093749081719205303
  10. Mon Nov 18 06:42:22 2024 A0: -1
  11. Mon Nov 18 06:42:22 2024 A1: 3
  12. Mon Nov 18 06:42:22 2024 A2: 6
  13. Mon Nov 18 06:42:22 2024 A3: -4
  14. Mon Nov 18 06:42:22 2024 A4: -5
  15. Mon Nov 18 06:42:22 2024 A5: 1
  16. Mon Nov 18 06:42:22 2024 A6: 1
  17. Mon Nov 18 06:42:22 2024 skew 1.37, size 9.148e-12, alpha 3.126, combined = 5.881e-13 rroots = 6
  18. Mon Nov 18 06:42:22 2024
  19. Mon Nov 18 06:42:22 2024 commencing relation filtering
  20. Mon Nov 18 06:42:22 2024 setting target matrix density to 100.0
  21. Mon Nov 18 06:42:22 2024 estimated available RAM is 15954.4 MB
  22. Mon Nov 18 06:42:22 2024 commencing duplicate removal, pass 1
  23. Mon Nov 18 07:05:40 2024 skipped 18 relations with b > 2^32
  24. Mon Nov 18 07:05:40 2024 found 8090342 hash collisions in 137425741 relations
  25. Mon Nov 18 07:05:51 2024 added 2438358 free relations
  26. Mon Nov 18 07:05:51 2024 commencing duplicate removal, pass 2
  27. Mon Nov 18 07:07:04 2024 found 0 duplicates and 139864099 unique relations
  28. Mon Nov 18 07:07:04 2024 memory use: 394.4 MB
  29. Mon Nov 18 07:07:04 2024 reading ideals above 109903872
  30. Mon Nov 18 07:07:04 2024 commencing singleton removal, initial pass
  31. Mon Nov 18 07:26:47 2024 memory use: 3012.0 MB
  32. Mon Nov 18 07:26:47 2024 reading all ideals from disk
  33. Mon Nov 18 07:26:52 2024 memory use: 2468.8 MB
  34. Mon Nov 18 07:27:00 2024 commencing in-memory singleton removal
  35. Mon Nov 18 07:27:09 2024 begin with 139864099 relations and 116829116 unique ideals
  36. Mon Nov 18 07:28:42 2024 reduce to 89961253 relations and 61928154 ideals in 16 passes
  37. Mon Nov 18 07:28:42 2024 max relations containing the same ideal: 37
  38. Mon Nov 18 07:28:48 2024 reading ideals above 720000
  39. Mon Nov 18 07:28:48 2024 commencing singleton removal, initial pass
  40. Mon Nov 18 07:45:20 2024 memory use: 1506.0 MB
  41. Mon Nov 18 07:45:20 2024 reading all ideals from disk
  42. Mon Nov 18 07:45:27 2024 memory use: 3475.7 MB
  43. Mon Nov 18 07:45:43 2024 keeping 74081537 ideals with weight <= 200, target excess is 442987
  44. Mon Nov 18 07:46:00 2024 commencing in-memory singleton removal
  45. Mon Nov 18 07:46:10 2024 begin with 89961253 relations and 74081537 unique ideals
  46. Mon Nov 18 07:46:58 2024 reduce to 89960724 relations and 74081008 ideals in 5 passes
  47. Mon Nov 18 07:46:58 2024 max relations containing the same ideal: 200
  48. Mon Nov 18 07:48:01 2024 removing 9631918 relations and 7631918 ideals in 2000000 cliques
  49. Mon Nov 18 07:48:07 2024 commencing in-memory singleton removal
  50. Mon Nov 18 07:48:17 2024 begin with 80328806 relations and 74081008 unique ideals
  51. Mon Nov 18 07:49:31 2024 reduce to 79489742 relations and 65586589 ideals in 9 passes
  52. Mon Nov 18 07:49:31 2024 max relations containing the same ideal: 192
  53. Mon Nov 18 07:50:20 2024 removing 7578288 relations and 5578288 ideals in 2000000 cliques
  54. Mon Nov 18 07:50:26 2024 commencing in-memory singleton removal
  55. Mon Nov 18 07:50:36 2024 begin with 71911454 relations and 65586589 unique ideals
  56. Mon Nov 18 07:51:33 2024 reduce to 71313796 relations and 59395486 ideals in 8 passes
  57. Mon Nov 18 07:51:33 2024 max relations containing the same ideal: 184
  58. Mon Nov 18 07:52:17 2024 removing 7018212 relations and 5018212 ideals in 2000000 cliques
  59. Mon Nov 18 07:52:21 2024 commencing in-memory singleton removal
  60. Mon Nov 18 07:52:27 2024 begin with 64295584 relations and 59395486 unique ideals
  61. Mon Nov 18 07:53:14 2024 reduce to 63738294 relations and 53805082 ideals in 7 passes
  62. Mon Nov 18 07:53:14 2024 max relations containing the same ideal: 174
  63. Mon Nov 18 07:53:59 2024 removing 6762049 relations and 4762049 ideals in 2000000 cliques
  64. Mon Nov 18 07:54:05 2024 commencing in-memory singleton removal
  65. Mon Nov 18 07:54:12 2024 begin with 56976245 relations and 53805082 unique ideals
  66. Mon Nov 18 07:54:51 2024 reduce to 56412610 relations and 48463161 ideals in 7 passes
  67. Mon Nov 18 07:54:51 2024 max relations containing the same ideal: 162
  68. Mon Nov 18 07:55:24 2024 removing 6623790 relations and 4623790 ideals in 2000000 cliques
  69. Mon Nov 18 07:55:28 2024 commencing in-memory singleton removal
  70. Mon Nov 18 07:55:33 2024 begin with 49788820 relations and 48463161 unique ideals
  71. Mon Nov 18 07:56:10 2024 reduce to 49190316 relations and 43221514 ideals in 7 passes
  72. Mon Nov 18 07:56:10 2024 max relations containing the same ideal: 146
  73. Mon Nov 18 07:56:40 2024 removing 6558601 relations and 4558601 ideals in 2000000 cliques
  74. Mon Nov 18 07:56:44 2024 commencing in-memory singleton removal
  75. Mon Nov 18 07:56:48 2024 begin with 42631715 relations and 43221514 unique ideals
  76. Mon Nov 18 07:57:18 2024 reduce to 41968533 relations and 37975469 ideals in 7 passes
  77. Mon Nov 18 07:57:18 2024 max relations containing the same ideal: 127
  78. Mon Nov 18 07:57:45 2024 removing 6541367 relations and 4541367 ideals in 2000000 cliques
  79. Mon Nov 18 07:57:49 2024 commencing in-memory singleton removal
  80. Mon Nov 18 07:57:53 2024 begin with 35427166 relations and 37975469 unique ideals
  81. Mon Nov 18 07:58:21 2024 reduce to 34654913 relations and 32628918 ideals in 8 passes
  82. Mon Nov 18 07:58:21 2024 max relations containing the same ideal: 111
  83. Mon Nov 18 07:58:43 2024 removing 5255428 relations and 3743298 ideals in 1512130 cliques
  84. Mon Nov 18 07:58:47 2024 commencing in-memory singleton removal
  85. Mon Nov 18 07:58:50 2024 begin with 29399485 relations and 32628918 unique ideals
  86. Mon Nov 18 07:59:13 2024 reduce to 28785062 relations and 28246650 ideals in 8 passes
  87. Mon Nov 18 07:59:13 2024 max relations containing the same ideal: 99
  88. Mon Nov 18 07:59:31 2024 removing 175996 relations and 151449 ideals in 24547 cliques
  89. Mon Nov 18 07:59:33 2024 commencing in-memory singleton removal
  90. Mon Nov 18 07:59:36 2024 begin with 28609066 relations and 28246650 unique ideals
  91. Mon Nov 18 07:59:51 2024 reduce to 28608279 relations and 28094413 ideals in 5 passes
  92. Mon Nov 18 07:59:51 2024 max relations containing the same ideal: 99
  93. Mon Nov 18 08:00:00 2024 relations with 0 large ideals: 33897
  94. Mon Nov 18 08:00:00 2024 relations with 1 large ideals: 5202
  95. Mon Nov 18 08:00:00 2024 relations with 2 large ideals: 57555
  96. Mon Nov 18 08:00:00 2024 relations with 3 large ideals: 438354
  97. Mon Nov 18 08:00:00 2024 relations with 4 large ideals: 1823836
  98. Mon Nov 18 08:00:00 2024 relations with 5 large ideals: 4569338
  99. Mon Nov 18 08:00:00 2024 relations with 6 large ideals: 7149000
  100. Mon Nov 18 08:00:00 2024 relations with 7+ large ideals: 14531097
  101. Mon Nov 18 08:00:00 2024 commencing 2-way merge
  102. Mon Nov 18 08:00:23 2024 reduce to 18838566 relation sets and 18324700 unique ideals
  103. Mon Nov 18 08:00:23 2024 commencing full merge
  104. Mon Nov 18 08:10:46 2024 memory use: 2519.6 MB
  105. Mon Nov 18 08:10:49 2024 found 8936431 cycles, need 8904900
  106. Mon Nov 18 08:10:54 2024 weight of 8904900 cycles is about 890681897 (100.02/cycle)
  107. Mon Nov 18 08:10:54 2024 distribution of cycle lengths:
  108. Mon Nov 18 08:10:54 2024 1 relations: 620099
  109. Mon Nov 18 08:10:54 2024 2 relations: 708873
  110. Mon Nov 18 08:10:54 2024 3 relations: 754056
  111. Mon Nov 18 08:10:54 2024 4 relations: 739069
  112. Mon Nov 18 08:10:54 2024 5 relations: 723726
  113. Mon Nov 18 08:10:54 2024 6 relations: 695741
  114. Mon Nov 18 08:10:54 2024 7 relations: 656233
  115. Mon Nov 18 08:10:54 2024 8 relations: 608454
  116. Mon Nov 18 08:10:54 2024 9 relations: 550141
  117. Mon Nov 18 08:10:54 2024 10+ relations: 2848508
  118. Mon Nov 18 08:10:54 2024 heaviest cycle: 28 relations
  119. Mon Nov 18 08:10:58 2024 commencing cycle optimization
  120. Mon Nov 18 08:11:24 2024 start with 69247719 relations
  121. Mon Nov 18 08:15:02 2024 pruned 2815518 relations
  122. Mon Nov 18 08:15:03 2024 memory use: 1900.9 MB
  123. Mon Nov 18 08:15:03 2024 distribution of cycle lengths:
  124. Mon Nov 18 08:15:03 2024 1 relations: 620099
  125. Mon Nov 18 08:15:03 2024 2 relations: 723392
  126. Mon Nov 18 08:15:03 2024 3 relations: 782072
  127. Mon Nov 18 08:15:03 2024 4 relations: 765520
  128. Mon Nov 18 08:15:03 2024 5 relations: 755701
  129. Mon Nov 18 08:15:03 2024 6 relations: 724054
  130. Mon Nov 18 08:15:03 2024 7 relations: 685560
  131. Mon Nov 18 08:15:03 2024 8 relations: 630410
  132. Mon Nov 18 08:15:03 2024 9 relations: 568699
  133. Mon Nov 18 08:15:03 2024 10+ relations: 2649393
  134. Mon Nov 18 08:15:03 2024 heaviest cycle: 28 relations
  135. Mon Nov 18 08:15:31 2024 RelProcTime: 5589
  136. Mon Nov 18 08:15:31 2024
  137. Mon Nov 18 08:15:31 2024 commencing linear algebra
  138. Mon Nov 18 08:15:31 2024 using VBITS=512
  139. Mon Nov 18 08:15:32 2024 read 8904900 cycles
  140. Mon Nov 18 08:15:59 2024 cycles contain 28309285 unique relations
  141. Mon Nov 18 08:19:24 2024 read 28309285 relations
  142. Mon Nov 18 08:20:33 2024 using 20 quadratic characters above 4294917295
  143. Mon Nov 18 08:23:39 2024 building initial matrix
  144. Mon Nov 18 08:31:34 2024 memory use: 3409.3 MB
  145. Mon Nov 18 08:31:39 2024 read 8904900 cycles
  146. Mon Nov 18 08:31:41 2024 matrix is 8904723 x 8904900 (3546.3 MB) with weight 1006789096 (113.06/col)
  147. Mon Nov 18 08:31:41 2024 sparse part has weight 840591645 (94.40/col)
  148. Mon Nov 18 08:34:15 2024 filtering completed in 2 passes
  149. Mon Nov 18 08:34:17 2024 matrix is 8904301 x 8904443 (3546.3 MB) with weight 1006775996 (113.06/col)
  150. Mon Nov 18 08:34:17 2024 sparse part has weight 840587017 (94.40/col)
  151. Mon Nov 18 08:34:53 2024 matrix starts at (0, 0)
  152. Mon Nov 18 08:34:55 2024 matrix is 8904301 x 8904443 (3546.3 MB) with weight 1006775996 (113.06/col)
  153. Mon Nov 18 08:34:55 2024 sparse part has weight 840587017 (94.40/col)
  154. Mon Nov 18 08:34:55 2024 saving the first 496 matrix rows for later
  155. Mon Nov 18 08:34:58 2024 matrix includes 512 packed rows
  156. Mon Nov 18 08:35:08 2024 matrix is 8903805 x 8904443 (3428.8 MB) with weight 723532905 (81.26/col)
  157. Mon Nov 18 08:35:08 2024 sparse part has weight 685140620 (76.94/col)
  158. Mon Nov 18 08:35:09 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  159. Mon Nov 18 08:35:09 2024 selected card has CUDA arch 8.6
  160. Mon Nov 18 08:36:36 2024 commencing Lanczos iteration
  161. Mon Nov 18 08:36:38 2024 memory use: 9812.9 MB
  162. Mon Nov 18 08:37:09 2024 linear algebra at 0.2%, ETA 4h49m
  163. Mon Nov 18 08:37:10 2024 checkpointing every 1850000 dimensions
  164. Mon Nov 18 13:46:57 2024 lanczos halted after 17418 iterations (dim = 8903802)
  165. Mon Nov 18 13:50:43 2024 recovered 31 nontrivial dependencies
  166. Mon Nov 18 13:50:43 2024 BLanczosTime: 20112
  167. Mon Nov 18 13:50:43 2024
  168. Mon Nov 18 13:50:43 2024 commencing square root phase
  169. Mon Nov 18 13:50:43 2024 handling dependencies 1 to 64
  170. Mon Nov 18 13:50:43 2024 reading relations for dependency 1
  171. Mon Nov 18 13:50:46 2024 read 4451668 cycles
  172. Mon Nov 18 13:50:57 2024 cycles contain 14160082 unique relations
  173. Mon Nov 18 13:52:56 2024 read 14160082 relations
  174. Mon Nov 18 13:54:30 2024 multiplying 14160082 relations
  175. Mon Nov 18 14:06:19 2024 multiply complete, coefficients have about 348.33 million bits
  176. Mon Nov 18 14:06:23 2024 initial square root is modulo 1779191
  177. Mon Nov 18 14:22:51 2024 sqrtTime: 1928
  178. Mon Nov 18 14:22:51 2024 p71 factor: 13451806907889119647109103891940686604799633842952637170842103258863573
  179. Mon Nov 18 14:22:51 2024 p158 factor: 82966738950327030773310529454134381563920711868036270833194305459670688136191597704024948281292956745520208859907027419725611456420758977455062066035179758481
  180. Mon Nov 18 14:22:51 2024 elapsed time 07:40:30
  181.  
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