kyleaskine

399__371_7m1 msieve.log

Oct 23rd, 2026
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  1. Thu Oct 22 23:25:06 2026
  2. Thu Oct 22 23:25:06 2026
  3. Thu Oct 22 23:25:06 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Oct 22 23:25:06 2026 random seeds: 428f1489 a298ece4
  5. Thu Oct 22 23:25:06 2026 Using 8 OpenMP threads
  6. Thu Oct 22 23:25:06 2026 factoring 37673034426583515586385556096456343331661591014547705984070983805516551162954787421924941702400940172435680103814233476789274645445576429985985791012189644621915242895549094808835749117517645840627889685017707544667682965717 (224 digits)
  7. Thu Oct 22 23:25:07 2026 no P-1/P+1/ECM available, skipping
  8. Thu Oct 22 23:25:07 2026 commencing number field sieve (224-digit input)
  9. Thu Oct 22 23:25:07 2026 R0: 399177014593887372381046672567020162371
  10. Thu Oct 22 23:25:07 2026 R1: -1
  11. Thu Oct 22 23:25:07 2026 A0: 1
  12. Thu Oct 22 23:25:07 2026 A1: 1
  13. Thu Oct 22 23:25:07 2026 A2: 1
  14. Thu Oct 22 23:25:07 2026 A3: 1
  15. Thu Oct 22 23:25:07 2026 A4: 1
  16. Thu Oct 22 23:25:07 2026 A5: 1
  17. Thu Oct 22 23:25:07 2026 A6: 1
  18. Thu Oct 22 23:25:07 2026 skew 1.35, size 1.820e-11, alpha 2.428, combined = 9.916e-13 rroots = 0
  19. Thu Oct 22 23:25:07 2026
  20. Thu Oct 22 23:25:07 2026 commencing relation filtering
  21. Thu Oct 22 23:25:07 2026 estimated available RAM is 78541.8 MB
  22. Thu Oct 22 23:25:07 2026 commencing duplicate removal, pass 1
  23. Thu Oct 22 23:30:55 2026 error -1 reading relation 95221601
  24. Thu Oct 22 23:31:16 2026 error -1 reading relation 101866102
  25. Thu Oct 22 23:31:21 2026 error -1 reading relation 103271848
  26. Thu Oct 22 23:31:48 2026 error -1 reading relation 111735536
  27. Thu Oct 22 23:31:58 2026 error -5 reading relation 114668798
  28. Thu Oct 22 23:32:12 2026 error -1 reading relation 119129854
  29. Thu Oct 22 23:32:32 2026 skipped 57 malformed relations
  30. Thu Oct 22 23:32:32 2026 found 22612191 hash collisions in 124804784 relations
  31. Thu Oct 22 23:32:32 2026 cached 124804847 relation coordinates for pass 2 (2032.4 MB)
  32. Thu Oct 22 23:32:36 2026 added 2438534 free relations
  33. Thu Oct 22 23:32:36 2026 commencing duplicate removal, pass 2
  34. Thu Oct 22 23:33:17 2026 found 20928088 duplicates and 106315230 unique relations
  35. Thu Oct 22 23:33:17 2026 memory use: 1264.0 MB
  36. Thu Oct 22 23:33:18 2026 reading ideals above 720000
  37. Thu Oct 22 23:33:18 2026 commencing singleton removal, initial pass
  38. Thu Oct 22 23:40:39 2026 LP64 contains 106315230 relations and 111392828 unique large ideals
  39. Thu Oct 22 23:40:39 2026 memory use: 4188.0 MB
  40. Thu Oct 22 23:40:40 2026 preparing 64-bit LP file for common filtering
  41. Thu Oct 22 23:40:40 2026 start with 106315230 relations and 111392828 ideals
  42. Thu Oct 22 23:41:01 2026 compacted LP dataset has 106315230 relations and 111392828 large ideals
  43. Thu Oct 22 23:41:01 2026 reading all ideals from disk
  44. Thu Oct 22 23:41:07 2026 memory use: 4811.1 MB
  45. Thu Oct 22 23:41:16 2026 keeping 110963193 ideals with weight <= 200, target excess is 545523
  46. Thu Oct 22 23:41:30 2026 commencing in-memory singleton removal
  47. Thu Oct 22 23:41:34 2026 begin with 106315230 relations and 110963193 unique ideals
  48. Thu Oct 22 23:41:34 2026 memory use: 862.6 MB
  49. Thu Oct 22 23:41:41 2026 reduce to 47564542 relations and 43343040 ideals in 5 passes
  50. Thu Oct 22 23:41:41 2026 max relations containing the same ideal: 119
  51. Thu Oct 22 23:42:07 2026 removing 3726749 relations and 3326749 ideals in 400000 cliques
  52. Thu Oct 22 23:42:05 2026 commencing in-memory singleton removal
  53. Thu Oct 22 23:42:07 2026 begin with 43837793 relations and 43343040 unique ideals
  54. Thu Oct 22 23:42:07 2026 memory use: 346.7 MB
  55. Thu Oct 22 23:42:09 2026 reduce to 43565624 relations and 39740710 ideals in 1 passes
  56. Thu Oct 22 23:42:09 2026 max relations containing the same ideal: 113
  57. Thu Oct 22 23:42:31 2026 removing 2757913 relations and 2357913 ideals in 400000 cliques
  58. Thu Oct 22 23:42:32 2026 commencing in-memory singleton removal
  59. Thu Oct 22 23:42:33 2026 begin with 40807711 relations and 39740710 unique ideals
  60. Thu Oct 22 23:42:33 2026 memory use: 319.2 MB
  61. Thu Oct 22 23:42:34 2026 reduce to 40645598 relations and 37218971 ideals in 1 passes
  62. Thu Oct 22 23:42:34 2026 max relations containing the same ideal: 108
  63. Thu Oct 22 23:42:51 2026 removing 2461310 relations and 2061310 ideals in 400000 cliques
  64. Thu Oct 22 23:42:51 2026 commencing in-memory singleton removal
  65. Thu Oct 22 23:42:53 2026 begin with 38184288 relations and 37218971 unique ideals
  66. Thu Oct 22 23:42:53 2026 memory use: 300.0 MB
  67. Thu Oct 22 23:42:54 2026 reduce to 38048838 relations and 35020820 ideals in 1 passes
  68. Thu Oct 22 23:42:54 2026 max relations containing the same ideal: 103
  69. Thu Oct 22 23:43:10 2026 removing 2302765 relations and 1902765 ideals in 400000 cliques
  70. Thu Oct 22 23:43:11 2026 commencing in-memory singleton removal
  71. Thu Oct 22 23:43:12 2026 begin with 35746073 relations and 35020820 unique ideals
  72. Thu Oct 22 23:43:12 2026 memory use: 283.2 MB
  73. Thu Oct 22 23:43:13 2026 reduce to 35621961 relations and 32992734 ideals in 1 passes
  74. Thu Oct 22 23:43:13 2026 max relations containing the same ideal: 100
  75. Thu Oct 22 23:43:31 2026 removing 2197278 relations and 1797278 ideals in 400000 cliques
  76. Thu Oct 22 23:43:31 2026 commencing in-memory singleton removal
  77. Thu Oct 22 23:43:32 2026 begin with 33424683 relations and 32992734 unique ideals
  78. Thu Oct 22 23:43:32 2026 memory use: 267.7 MB
  79. Thu Oct 22 23:43:33 2026 reduce to 33307899 relations and 31077400 ideals in 1 passes
  80. Thu Oct 22 23:43:33 2026 max relations containing the same ideal: 94
  81. Thu Oct 22 23:43:46 2026 removing 2127054 relations and 1727054 ideals in 400000 cliques
  82. Thu Oct 22 23:43:47 2026 commencing in-memory singleton removal
  83. Thu Oct 22 23:43:48 2026 begin with 31180845 relations and 31077400 unique ideals
  84. Thu Oct 22 23:43:48 2026 memory use: 253.1 MB
  85. Thu Oct 22 23:43:49 2026 reduce to 31066378 relations and 29234643 ideals in 1 passes
  86. Thu Oct 22 23:43:49 2026 max relations containing the same ideal: 89
  87. Thu Oct 22 23:44:03 2026 removing 2071631 relations and 1671631 ideals in 400000 cliques
  88. Thu Oct 22 23:44:03 2026 commencing in-memory singleton removal
  89. Thu Oct 22 23:44:04 2026 begin with 28994747 relations and 29234643 unique ideals
  90. Thu Oct 22 23:44:04 2026 memory use: 239.0 MB
  91. Thu Oct 22 23:44:05 2026 reduce to 28879637 relations and 27446540 ideals in 1 passes
  92. Thu Oct 22 23:44:05 2026 max relations containing the same ideal: 85
  93. Thu Oct 22 23:44:18 2026 removing 2030265 relations and 1630265 ideals in 400000 cliques
  94. Thu Oct 22 23:44:19 2026 commencing in-memory singleton removal
  95. Thu Oct 22 23:44:20 2026 begin with 26849372 relations and 27446540 unique ideals
  96. Thu Oct 22 23:44:20 2026 memory use: 225.4 MB
  97. Thu Oct 22 23:44:20 2026 reduce to 26731526 relations and 25696964 ideals in 1 passes
  98. Thu Oct 22 23:44:20 2026 max relations containing the same ideal: 79
  99. Thu Oct 22 23:44:34 2026 removing 1997748 relations and 1597748 ideals in 400000 cliques
  100. Thu Oct 22 23:44:34 2026 commencing in-memory singleton removal
  101. Thu Oct 22 23:44:35 2026 begin with 24733778 relations and 25696964 unique ideals
  102. Thu Oct 22 23:44:35 2026 memory use: 212.1 MB
  103. Thu Oct 22 23:44:36 2026 reduce to 24612705 relations and 23976573 ideals in 1 passes
  104. Thu Oct 22 23:44:36 2026 max relations containing the same ideal: 77
  105. Thu Oct 22 23:44:45 2026 relations with 0 large ideals: 41675
  106. Thu Oct 22 23:44:45 2026 relations with 1 large ideals: 10042
  107. Thu Oct 22 23:44:45 2026 relations with 2 large ideals: 115885
  108. Thu Oct 22 23:44:45 2026 relations with 3 large ideals: 741758
  109. Thu Oct 22 23:44:45 2026 relations with 4 large ideals: 2578383
  110. Thu Oct 22 23:44:45 2026 relations with 5 large ideals: 5278234
  111. Thu Oct 22 23:44:45 2026 relations with 6 large ideals: 6629488
  112. Thu Oct 22 23:44:45 2026 relations with 7+ large ideals: 9217240
  113. Thu Oct 22 23:44:45 2026 commencing 2-way merge
  114. Thu Oct 22 23:45:00 2026 reduce to 15024599 relation sets and 14388467 unique ideals
  115. Thu Oct 22 23:45:00 2026 commencing full merge
  116. Thu Oct 22 23:50:55 2026 memory use: 2070.1 MB
  117. Thu Oct 22 23:50:55 2026 found 7354171 cycles, need 7288667
  118. Thu Oct 22 23:50:56 2026 weight of 7288667 cycles is about 656013608 (90.00/cycle)
  119. Thu Oct 22 23:50:56 2026 distribution of cycle lengths:
  120. Thu Oct 22 23:50:56 2026 1 relations: 746018
  121. Thu Oct 22 23:50:56 2026 2 relations: 717253
  122. Thu Oct 22 23:50:56 2026 3 relations: 681831
  123. Thu Oct 22 23:50:56 2026 4 relations: 627733
  124. Thu Oct 22 23:50:56 2026 5 relations: 583696
  125. Thu Oct 22 23:50:56 2026 6 relations: 531083
  126. Thu Oct 22 23:50:56 2026 7 relations: 486891
  127. Thu Oct 22 23:50:56 2026 8 relations: 439485
  128. Thu Oct 22 23:50:56 2026 9 relations: 394236
  129. Thu Oct 22 23:50:56 2026 10+ relations: 2080441
  130. Thu Oct 22 23:50:56 2026 heaviest cycle: 28 relations
  131. Thu Oct 22 23:50:56 2026 commencing cycle optimization
  132. Thu Oct 22 23:51:09 2026 start with 51961601 relations
  133. Thu Oct 22 23:53:05 2026 pruned 1600394 relations
  134. Thu Oct 22 23:53:05 2026 memory use: 1612.7 MB
  135. Thu Oct 22 23:53:05 2026 distribution of cycle lengths:
  136. Thu Oct 22 23:53:05 2026 1 relations: 746018
  137. Thu Oct 22 23:53:05 2026 2 relations: 729529
  138. Thu Oct 22 23:53:05 2026 3 relations: 703258
  139. Thu Oct 22 23:53:05 2026 4 relations: 644786
  140. Thu Oct 22 23:53:05 2026 5 relations: 602580
  141. Thu Oct 22 23:53:05 2026 6 relations: 545720
  142. Thu Oct 22 23:53:05 2026 7 relations: 500303
  143. Thu Oct 22 23:53:05 2026 8 relations: 448849
  144. Thu Oct 22 23:53:05 2026 9 relations: 401775
  145. Thu Oct 22 23:53:05 2026 10+ relations: 1965849
  146. Thu Oct 22 23:53:05 2026 heaviest cycle: 28 relations
  147. Thu Oct 22 23:53:12 2026 RelProcTime: 1685
  148. Thu Oct 22 23:53:12 2026
  149. Thu Oct 22 23:53:12 2026 commencing linear algebra
  150. Thu Oct 22 23:53:12 2026 using VBITS=128
  151. Thu Oct 22 23:53:13 2026 read 7288667 cycles
  152. Thu Oct 22 23:53:29 2026 cycles contain 24131053 unique relations
  153. Thu Oct 22 23:54:43 2026 read 24131053 relations
  154. Thu Oct 22 23:54:53 2026 using 20 quadratic characters above 4294917295
  155. Thu Oct 22 23:55:12 2026 building initial matrix
  156. Thu Oct 22 23:56:32 2026 memory use: 2924.2 MB
  157. Thu Oct 22 23:56:35 2026 read 7288667 cycles
  158. Thu Oct 22 23:56:36 2026 matrix is 7288486 x 7288667 (2696.0 MB) with weight 770322999 (105.69/col)
  159. Thu Oct 22 23:56:36 2026 sparse part has weight 626553984 (85.96/col)
  160. Thu Oct 22 23:57:04 2026 filtering completed in 2 passes
  161. Thu Oct 22 23:57:06 2026 matrix is 7286418 x 7286596 (2695.8 MB) with weight 770255864 (105.71/col)
  162. Thu Oct 22 23:57:06 2026 sparse part has weight 626529089 (85.98/col)
  163. Thu Oct 22 23:57:34 2026 matrix starts at (0, 0)
  164. Thu Oct 22 23:57:35 2026 matrix is 7286418 x 7286596 (2695.8 MB) with weight 770255864 (105.71/col)
  165. Thu Oct 22 23:57:35 2026 sparse part has weight 626529089 (85.98/col)
  166. Thu Oct 22 23:57:35 2026 saving the first 112 matrix rows for later
  167. Thu Oct 22 23:57:36 2026 matrix includes 128 packed rows
  168. Thu Oct 22 23:57:37 2026 matrix is 7286306 x 7286596 (2506.4 MB) with weight 601996997 (82.62/col)
  169. Thu Oct 22 23:57:37 2026 sparse part has weight 569596022 (78.17/col)
  170. Thu Oct 22 23:57:37 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  171. Thu Oct 22 23:57:37 2026 selected card has CUDA arch 12.0
  172. Thu Oct 22 23:57:38 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 78.2)
  173. Thu Oct 22 23:57:38 2026 nonzeros per matrix block: 128000000
  174. Thu Oct 22 23:57:38 2026 SpMV kernel: auto (by nonzeros per row)
  175. Thu Oct 22 23:57:41 2026 SpMV kernel auto: segscan for 10 of 10 blocks (below 28 nonzeros per row), warpmerge for 0
  176. Thu Oct 22 23:57:41 2026 GPU memory: 11015 MB free, 778 MB for vectors, 10126 MB for sparse matrix blocks (4644 MB needed)
  177. Thu Oct 22 23:58:08 2026 commencing Lanczos iteration
  178. Thu Oct 22 23:58:10 2026 memory use: 5513.1 MB
  179. Thu Oct 22 23:58:42 2026 linear algebra at 0.4%, ETA 2h 6m
  180. Thu Oct 22 23:58:50 2026 checking every 50000 dimensions, checkpointing every 3500000 dimensions
  181. Fri Oct 23 01:32:58 2026 lanczos halted after 57270 iterations (dim = 7286304)
  182. Fri Oct 23 01:33:20 2026 recovered 37 nontrivial dependencies
  183. Fri Oct 23 01:33:21 2026 BLanczosTime: 6009
  184. Fri Oct 23 01:33:21 2026
  185. Fri Oct 23 01:33:21 2026 commencing square root phase
  186. Fri Oct 23 01:33:21 2026 reading relations for dependency 1
  187. Fri Oct 23 01:33:45 2026 read 3641373 cycles
  188. Fri Oct 23 01:33:52 2026 cycles contain 12060678 unique relations
  189. Fri Oct 23 01:35:23 2026 read 12060678 relations
  190. Fri Oct 23 01:35:59 2026 multiplying 12060678 relations
  191. Fri Oct 23 01:36:48 2026 multiply complete, coefficients have about 294.48 million bits
  192. Fri Oct 23 01:36:49 2026 initial square root is modulo 192307
  193. Fri Oct 23 01:38:29 2026 GCD is N, no factor found
  194. Fri Oct 23 01:38:29 2026 reading relations for dependency 2
  195. Fri Oct 23 01:38:31 2026 read 3644670 cycles
  196. Fri Oct 23 01:38:37 2026 cycles contain 12063974 unique relations
  197. Fri Oct 23 01:39:08 2026 read 12063974 relations
  198. Fri Oct 23 01:39:41 2026 multiplying 12063974 relations
  199. Fri Oct 23 01:40:30 2026 multiply complete, coefficients have about 294.55 million bits
  200. Fri Oct 23 01:40:31 2026 initial square root is modulo 192923
  201. Fri Oct 23 01:42:10 2026 sqrtTime: 529
  202. Fri Oct 23 01:42:10 2026 p71 factor: 60078971963797671176416278242683680995805884009789684794301450634818701
  203. Fri Oct 23 01:42:10 2026 p153 factor: 627058572994299839843670666257432662191889125274468251222506913746175617432137988494438400184659409449675193240073656493525519208171934483531038639187817
  204. Fri Oct 23 01:42:10 2026 elapsed time 02:17:04
  205.  
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