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msieve_nfsathome

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Sep 22nd, 2026
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  1. Mon Sep 14 20:29:52 2026 Msieve v. 1.54 (SVN Unversioned directory)
  2. Mon Sep 14 20:29:52 2026 random seeds: 04977586 68ffece1
  3. Mon Sep 14 20:29:52 2026 factoring 446994824897888286792774646952233387245853738953888587291390186643854249575239803342571238445582436577595846795507912449338867631490888365848614719341149060617 (159 digits)
  4. Mon Sep 14 20:29:53 2026 no P-1/P+1/ECM available, skipping
  5. Mon Sep 14 20:29:53 2026 commencing number field sieve (159-digit input)
  6. Mon Sep 14 20:29:53 2026 R0: -9002474783327613696591600871755
  7. Mon Sep 14 20:29:53 2026 R1: 573357054614440363979
  8. Mon Sep 14 20:29:53 2026 A0: -562934462141832579428991438353702147912
  9. Mon Sep 14 20:29:53 2026 A1: -142022789077826128623880930332890
  10. Mon Sep 14 20:29:53 2026 A2: 31908387324427461911693695
  11. Mon Sep 14 20:29:53 2026 A3: -10441897442952755820
  12. Mon Sep 14 20:29:53 2026 A4: -86125465008
  13. Mon Sep 14 20:29:53 2026 A5: 83160
  14. Mon Sep 14 20:29:53 2026 skew 8504576.20, size 2.934e-15, alpha -8.861, combined = 2.236e-12 rroots = 3
  15. Mon Sep 14 20:29:53 2026
  16. Mon Sep 14 20:29:53 2026 commencing relation filtering
  17. Mon Sep 14 20:29:53 2026 estimated available RAM is 31871.6 MB
  18. Mon Sep 14 20:29:53 2026 commencing duplicate removal, pass 1
  19. Mon Sep 14 20:30:01 2026 error -1 reading relation 860126
  20. Mon Sep 14 20:31:10 2026 error -1 reading relation 7860777
  21. Mon Sep 14 20:31:47 2026 error -1 reading relation 11516332
  22. Mon Sep 14 20:32:01 2026 error -1 reading relation 12876785
  23. Mon Sep 14 20:32:18 2026 error -1 reading relation 14661952
  24. Mon Sep 14 20:32:18 2026 error -1 reading relation 14661953
  25. Mon Sep 14 20:32:23 2026 error -1 reading relation 15236857
  26. Mon Sep 14 20:32:30 2026 error -1 reading relation 16039087
  27. Mon Sep 14 20:32:30 2026 error -1 reading relation 16039088
  28. Mon Sep 14 20:33:32 2026 error -1 reading relation 22499363
  29. Mon Sep 14 20:34:25 2026 error -1 reading relation 27935362
  30. Mon Sep 14 20:34:25 2026 error -1 reading relation 27935363
  31. Mon Sep 14 20:34:42 2026 error -1 reading relation 29673262
  32. Mon Sep 14 20:34:53 2026 error -1 reading relation 30798881
  33. Mon Sep 14 20:34:55 2026 error -1 reading relation 31040552
  34. Mon Sep 14 20:35:21 2026 error -1 reading relation 33610405
  35. Mon Sep 14 20:35:21 2026 error -1 reading relation 33610406
  36. Mon Sep 14 20:35:21 2026 error -1 reading relation 33610407
  37. Mon Sep 14 20:35:21 2026 error -1 reading relation 33610408
  38. Mon Sep 14 20:35:35 2026 error -1 reading relation 35003375
  39. Mon Sep 14 20:36:07 2026 error -1 reading relation 38324090
  40. Mon Sep 14 20:36:08 2026 error -11 reading relation 38435709
  41. Mon Sep 14 20:36:37 2026 error -11 reading relation 41348085
  42. Mon Sep 14 20:37:17 2026 error -1 reading relation 45357669
  43. Mon Sep 14 20:37:27 2026 error -1 reading relation 46398643
  44. Mon Sep 14 20:37:37 2026 error -1 reading relation 47378091
  45. Mon Sep 14 20:38:54 2026 error -1 reading relation 55502235
  46. Mon Sep 14 20:39:30 2026 error -1 reading relation 59369515
  47. Mon Sep 14 20:40:08 2026 skipped 4 malformed relations
  48. Mon Sep 14 20:40:08 2026 found 3452797 hash collisions in 63256562 relations
  49. Mon Sep 14 20:40:42 2026 added 122471 free relations
  50. Mon Sep 14 20:40:42 2026 commencing duplicate removal, pass 2
  51. Mon Sep 14 20:41:16 2026 found 0 duplicates and 63379033 unique relations
  52. Mon Sep 14 20:41:16 2026 memory use: 213.2 MB
  53. Mon Sep 14 20:41:16 2026 reading ideals above 720000
  54. Mon Sep 14 20:41:16 2026 commencing singleton removal, initial pass
  55. Mon Sep 14 20:53:08 2026 memory use: 1506.0 MB
  56. Mon Sep 14 20:53:08 2026 reading all ideals from disk
  57. Mon Sep 14 20:53:13 2026 memory use: 2795.7 MB
  58. Mon Sep 14 20:53:26 2026 keeping 61632097 ideals with weight <= 200, target excess is 332552
  59. Mon Sep 14 20:53:35 2026 commencing in-memory singleton removal
  60. Mon Sep 14 20:53:47 2026 begin with 63379033 relations and 61632097 unique ideals
  61. Mon Sep 14 20:54:59 2026 reduce to 35077521 relations and 30069158 ideals in 15 passes
  62. Mon Sep 14 20:54:59 2026 max relations containing the same ideal: 140
  63. Mon Sep 14 20:55:35 2026 removing 5075594 relations and 4075594 ideals in 1000000 cliques
  64. Mon Sep 14 20:55:38 2026 commencing in-memory singleton removal
  65. Mon Sep 14 20:55:44 2026 begin with 30001927 relations and 30069158 unique ideals
  66. Mon Sep 14 20:56:13 2026 reduce to 29467654 relations and 25440864 ideals in 9 passes
  67. Mon Sep 14 20:56:13 2026 max relations containing the same ideal: 125
  68. Mon Sep 14 20:56:43 2026 removing 3974252 relations and 2974252 ideals in 1000000 cliques
  69. Mon Sep 14 20:56:45 2026 commencing in-memory singleton removal
  70. Mon Sep 14 20:56:49 2026 begin with 25493402 relations and 25440864 unique ideals
  71. Mon Sep 14 20:57:12 2026 reduce to 25100404 relations and 22060681 ideals in 8 passes
  72. Mon Sep 14 20:57:12 2026 max relations containing the same ideal: 111
  73. Mon Sep 14 20:57:35 2026 removing 3660257 relations and 2660257 ideals in 1000000 cliques
  74. Mon Sep 14 20:57:37 2026 commencing in-memory singleton removal
  75. Mon Sep 14 20:57:42 2026 begin with 21440147 relations and 22060681 unique ideals
  76. Mon Sep 14 20:57:59 2026 reduce to 21064086 relations and 19010870 ideals in 8 passes
  77. Mon Sep 14 20:57:59 2026 max relations containing the same ideal: 103
  78. Mon Sep 14 20:58:19 2026 removing 3501481 relations and 2501481 ideals in 1000000 cliques
  79. Mon Sep 14 20:58:21 2026 commencing in-memory singleton removal
  80. Mon Sep 14 20:58:24 2026 begin with 17562605 relations and 19010870 unique ideals
  81. Mon Sep 14 20:58:38 2026 reduce to 17167985 relations and 16098260 ideals in 7 passes
  82. Mon Sep 14 20:58:38 2026 max relations containing the same ideal: 88
  83. Mon Sep 14 20:58:55 2026 removing 2526128 relations and 1842164 ideals in 683964 cliques
  84. Mon Sep 14 20:58:56 2026 commencing in-memory singleton removal
  85. Mon Sep 14 20:58:59 2026 begin with 14641857 relations and 16098260 unique ideals
  86. Mon Sep 14 20:59:08 2026 reduce to 14406376 relations and 14012535 ideals in 7 passes
  87. Mon Sep 14 20:59:08 2026 max relations containing the same ideal: 79
  88. Mon Sep 14 20:59:23 2026 removing 59932 relations and 51852 ideals in 8080 cliques
  89. Mon Sep 14 20:59:24 2026 commencing in-memory singleton removal
  90. Mon Sep 14 20:59:26 2026 begin with 14346444 relations and 14012535 unique ideals
  91. Mon Sep 14 20:59:32 2026 reduce to 14346329 relations and 13960568 ideals in 4 passes
  92. Mon Sep 14 20:59:32 2026 max relations containing the same ideal: 78
  93. Mon Sep 14 20:59:37 2026 relations with 0 large ideals: 1158
  94. Mon Sep 14 20:59:37 2026 relations with 1 large ideals: 3700
  95. Mon Sep 14 20:59:37 2026 relations with 2 large ideals: 57276
  96. Mon Sep 14 20:59:37 2026 relations with 3 large ideals: 389494
  97. Mon Sep 14 20:59:37 2026 relations with 4 large ideals: 1416036
  98. Mon Sep 14 20:59:37 2026 relations with 5 large ideals: 3027564
  99. Mon Sep 14 20:59:37 2026 relations with 6 large ideals: 3999649
  100. Mon Sep 14 20:59:37 2026 relations with 7+ large ideals: 5451452
  101. Mon Sep 14 20:59:37 2026 commencing 2-way merge
  102. Mon Sep 14 20:59:58 2026 reduce to 9273240 relation sets and 8887479 unique ideals
  103. Mon Sep 14 20:59:58 2026 commencing full merge
  104. Mon Sep 14 21:05:47 2026 memory use: 1139.7 MB
  105. Mon Sep 14 21:05:48 2026 found 4640481 cycles, need 4589679
  106. Mon Sep 14 21:05:51 2026 weight of 4589679 cycles is about 413393058 (90.07/cycle)
  107. Mon Sep 14 21:05:51 2026 distribution of cycle lengths:
  108. Mon Sep 14 21:05:51 2026 1 relations: 282476
  109. Mon Sep 14 21:05:51 2026 2 relations: 409655
  110. Mon Sep 14 21:05:51 2026 3 relations: 459421
  111. Mon Sep 14 21:05:51 2026 4 relations: 455833
  112. Mon Sep 14 21:05:51 2026 5 relations: 448660
  113. Mon Sep 14 21:05:51 2026 6 relations: 417316
  114. Mon Sep 14 21:05:51 2026 7 relations: 387793
  115. Mon Sep 14 21:05:51 2026 8 relations: 344512
  116. Mon Sep 14 21:05:51 2026 9 relations: 298012
  117. Mon Sep 14 21:05:51 2026 10+ relations: 1086001
  118. Mon Sep 14 21:05:51 2026 heaviest cycle: 23 relations
  119. Mon Sep 14 21:05:53 2026 commencing cycle optimization
  120. Mon Sep 14 21:06:09 2026 start with 30937127 relations
  121. Mon Sep 14 21:07:46 2026 pruned 1114240 relations
  122. Mon Sep 14 21:07:47 2026 memory use: 915.5 MB
  123. Mon Sep 14 21:07:47 2026 distribution of cycle lengths:
  124. Mon Sep 14 21:07:47 2026 1 relations: 282476
  125. Mon Sep 14 21:07:47 2026 2 relations: 420403
  126. Mon Sep 14 21:07:47 2026 3 relations: 479593
  127. Mon Sep 14 21:07:47 2026 4 relations: 473405
  128. Mon Sep 14 21:07:47 2026 5 relations: 467936
  129. Mon Sep 14 21:07:47 2026 6 relations: 432774
  130. Mon Sep 14 21:07:47 2026 7 relations: 400790
  131. Mon Sep 14 21:07:47 2026 8 relations: 352396
  132. Mon Sep 14 21:07:47 2026 9 relations: 300767
  133. Mon Sep 14 21:07:47 2026 10+ relations: 979139
  134. Mon Sep 14 21:07:47 2026 heaviest cycle: 22 relations
  135. Mon Sep 14 21:08:00 2026 RelProcTime: 2287
  136. Mon Sep 14 21:08:00 2026
  137. Mon Sep 14 21:08:00 2026 commencing linear algebra
  138. Mon Sep 14 21:08:00 2026 using VBITS=256
  139. Mon Sep 14 21:08:01 2026 read 4589679 cycles
  140. Mon Sep 14 21:08:11 2026 cycles contain 14124700 unique relations
  141. Mon Sep 14 21:09:47 2026 read 14124700 relations
  142. Mon Sep 14 21:10:36 2026 using 20 quadratic characters above 4294917295
  143. Mon Sep 14 21:12:08 2026 building initial matrix
  144. Mon Sep 14 21:16:37 2026 memory use: 1945.5 MB
  145. Mon Sep 14 21:16:40 2026 read 4589679 cycles
  146. Mon Sep 14 21:16:41 2026 matrix is 4589499 x 4589679 (1703.3 MB) with weight 538991221 (117.44/col)
  147. Mon Sep 14 21:16:41 2026 sparse part has weight 391444103 (85.29/col)
  148. Mon Sep 14 21:17:47 2026 filtering completed in 2 passes
  149. Mon Sep 14 21:17:49 2026 matrix is 4589100 x 4589280 (1703.3 MB) with weight 538972459 (117.44/col)
  150. Mon Sep 14 21:17:49 2026 sparse part has weight 391438391 (85.29/col)
  151. Mon Sep 14 21:18:04 2026 matrix starts at (0, 0)
  152. Mon Sep 14 21:18:05 2026 matrix is 4589100 x 4589280 (1703.3 MB) with weight 538972459 (117.44/col)
  153. Mon Sep 14 21:18:05 2026 sparse part has weight 391438391 (85.29/col)
  154. Mon Sep 14 21:18:05 2026 saving the first 240 matrix rows for later
  155. Mon Sep 14 21:18:06 2026 matrix includes 256 packed rows
  156. Mon Sep 14 21:18:08 2026 matrix is 4588860 x 4589280 (1550.4 MB) with weight 357796310 (77.96/col)
  157. Mon Sep 14 21:18:08 2026 sparse part has weight 332989706 (72.56/col)
  158. Mon Sep 14 21:18:09 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  159. Mon Sep 14 21:18:09 2026 selected card has CUDA arch 8.6
  160. Mon Sep 14 21:19:33 2026 commencing Lanczos iteration
  161. Mon Sep 14 21:19:35 2026 memory use: 3766.0 MB
  162. Mon Sep 14 21:19:53 2026 linear algebra at 0.7%, ETA 0h44m
  163. Mon Sep 14 21:20:19 2026 checking every 100000 dimensions, checkpointing every 6300000 dimensions
  164. Mon Sep 14 22:03:16 2026 lanczos halted after 17981 iterations (dim = 4588856)
  165. Mon Sep 14 22:03:54 2026 recovered 24 nontrivial dependencies
  166. Mon Sep 14 22:03:55 2026 BLanczosTime: 3355
  167. Mon Sep 14 22:03:55 2026
  168. Mon Sep 14 22:03:55 2026 commencing square root phase
  169. Mon Sep 14 22:03:55 2026 handling dependencies 1 to 64
  170. Mon Sep 14 22:03:55 2026 reading relations for dependency 1
  171. Mon Sep 14 22:03:57 2026 read 2293151 cycles
  172. Mon Sep 14 22:04:03 2026 cycles contain 7057588 unique relations
  173. Mon Sep 14 22:05:04 2026 read 7057588 relations
  174. Mon Sep 14 22:05:57 2026 multiplying 7057588 relations
  175. Mon Sep 14 22:14:21 2026 multiply complete, coefficients have about 368.16 million bits
  176. Mon Sep 14 22:14:24 2026 initial square root is modulo 4037543
  177. Mon Sep 14 22:23:22 2026 GCD is 1, no factor found
  178. Mon Sep 14 22:23:22 2026 reading relations for dependency 2
  179. Mon Sep 14 22:23:23 2026 read 2295760 cycles
  180. Mon Sep 14 22:23:28 2026 cycles contain 7062330 unique relations
  181. Mon Sep 14 22:24:19 2026 read 7062330 relations
  182. Mon Sep 14 22:25:07 2026 multiplying 7062330 relations
  183. Mon Sep 14 22:33:54 2026 multiply complete, coefficients have about 368.40 million bits
  184. Mon Sep 14 22:33:57 2026 initial square root is modulo 4077757
  185. Mon Sep 14 22:42:44 2026 sqrtTime: 2329
  186. Mon Sep 14 22:42:44 2026 p60 factor: 217604324252144826444727849370112237661881721524559360728439
  187. Mon Sep 14 22:42:44 2026 p100 factor: 2054163337213563957680995322450331990541208816130005366973786880112190243499322840066482201356312703
  188. Mon Sep 14 22:42:44 2026 elapsed time 02:12:52
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