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C164_19560_597 msieve.log

kyleaskine
Nov 1st, 2026
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  1. Sun Nov 1 01:45:14 2026
  2. Sun Nov 1 01:45:14 2026
  3. Sun Nov 1 01:45:14 2026 Msieve v. 1.54 (SVN unknown)
  4. Sun Nov 1 01:45:14 2026 random seeds: 345a806c 2153815d
  5. Sun Nov 1 01:45:14 2026 Using 8 OpenMP threads
  6. Sun Nov 1 01:45:14 2026 factoring 57810436034645094389672822555507781857624983922214857297286843638238805529019514514346102765499063554996206903802715880377722719707911709408937104453288387546004831 (164 digits)
  7. Sun Nov 1 01:45:14 2026 no P-1/P+1/ECM available, skipping
  8. Sun Nov 1 01:45:14 2026 commencing number field sieve (164-digit input)
  9. Sun Nov 1 01:45:14 2026 R0: -66992507958982125725294694500108
  10. Sun Nov 1 01:45:14 2026 R1: 197609751742653823393
  11. Sun Nov 1 01:45:14 2026 A0: 2483849845681886060126917998789733289
  12. Sun Nov 1 01:45:14 2026 A1: -10985260492848553960206463077209
  13. Sun Nov 1 01:45:14 2026 A2: -16870706475798829884784880
  14. Sun Nov 1 01:45:14 2026 A3: 8971910963628200042
  15. Sun Nov 1 01:45:14 2026 A4: 2568368485824
  16. Sun Nov 1 01:45:14 2026 A5: 128520
  17. Sun Nov 1 01:45:14 2026 skew 1724651.02, size 9.269e-16, alpha -6.183, combined = 1.101e-12 rroots = 5
  18. Sun Nov 1 01:45:14 2026
  19. Sun Nov 1 01:45:14 2026 commencing relation filtering
  20. Sun Nov 1 01:45:14 2026 estimated available RAM is 78541.8 MB
  21. Sun Nov 1 01:45:14 2026 commencing duplicate removal, pass 1
  22. Sun Nov 1 01:45:24 2026 error -1 reading relation 16849401
  23. Sun Nov 1 01:46:02 2026 error -1 reading relation 80648597
  24. Sun Nov 1 01:46:02 2026 error -1 reading relation 80845821
  25. Sun Nov 1 01:46:12 2026 error -1 reading relation 98812105
  26. Sun Nov 1 01:46:12 2026 error -1 reading relation 98831748
  27. Sun Nov 1 01:46:14 2026 error -1 reading relation 101756849
  28. Sun Nov 1 01:46:23 2026 error -1 reading relation 116650020
  29. Sun Nov 1 01:46:33 2026 skipped 61 malformed relations
  30. Sun Nov 1 01:46:33 2026 found 18628497 hash collisions in 133966835 relations
  31. Sun Nov 1 01:46:33 2026 cached 133966903 relation coordinates for pass 2 (2300.2 MB)
  32. Sun Nov 1 01:46:45 2026 added 121582 free relations
  33. Sun Nov 1 01:46:45 2026 commencing duplicate removal, pass 2
  34. Sun Nov 1 01:47:04 2026 found 17346565 duplicates and 116741852 unique relations
  35. Sun Nov 1 01:47:04 2026 memory use: 1016.0 MB
  36. Sun Nov 1 01:47:04 2026 reading ideals above 720000
  37. Sun Nov 1 01:47:04 2026 commencing singleton removal, initial pass
  38. Sun Nov 1 01:48:30 2026 LP64 contains 116741852 relations and 115310815 unique large ideals
  39. Sun Nov 1 01:48:30 2026 memory use: 4248.0 MB
  40. Sun Nov 1 01:48:31 2026 preparing 64-bit LP file for common filtering
  41. Sun Nov 1 01:48:31 2026 start with 116741852 relations and 115310815 ideals
  42. Sun Nov 1 01:48:38 2026 compacted LP dataset has 116741852 relations and 115310815 large ideals
  43. Sun Nov 1 01:48:38 2026 reading all ideals from disk
  44. Sun Nov 1 01:48:40 2026 memory use: 5279.4 MB
  45. Sun Nov 1 01:48:43 2026 keeping 114817994 ideals with weight <= 200, target excess is 609127
  46. Sun Nov 1 01:48:49 2026 commencing in-memory singleton removal
  47. Sun Nov 1 01:48:51 2026 begin with 116741852 relations and 114817994 unique ideals
  48. Sun Nov 1 01:48:51 2026 memory use: 892.0 MB
  49. Sun Nov 1 01:48:56 2026 reduce to 60233621 relations and 51124399 ideals in 4 passes
  50. Sun Nov 1 01:48:56 2026 max relations containing the same ideal: 135
  51. Sun Nov 1 01:49:11 2026 removing 6280641 relations and 5280641 ideals in 1000000 cliques
  52. Sun Nov 1 01:49:11 2026 commencing in-memory singleton removal
  53. Sun Nov 1 01:49:12 2026 begin with 53952980 relations and 51124399 unique ideals
  54. Sun Nov 1 01:49:12 2026 memory use: 406.0 MB
  55. Sun Nov 1 01:49:13 2026 reduce to 53486508 relations and 45367753 ideals in 1 passes
  56. Sun Nov 1 01:49:13 2026 max relations containing the same ideal: 124
  57. Sun Nov 1 01:49:26 2026 removing 4761442 relations and 3761442 ideals in 1000000 cliques
  58. Sun Nov 1 01:49:26 2026 commencing in-memory singleton removal
  59. Sun Nov 1 01:49:27 2026 begin with 48725066 relations and 45367753 unique ideals
  60. Sun Nov 1 01:49:27 2026 memory use: 362.1 MB
  61. Sun Nov 1 01:49:27 2026 reduce to 48413006 relations and 41288504 ideals in 1 passes
  62. Sun Nov 1 01:49:27 2026 max relations containing the same ideal: 115
  63. Sun Nov 1 01:49:39 2026 removing 4300861 relations and 3300861 ideals in 1000000 cliques
  64. Sun Nov 1 01:49:39 2026 commencing in-memory singleton removal
  65. Sun Nov 1 01:49:40 2026 begin with 44112145 relations and 41288504 unique ideals
  66. Sun Nov 1 01:49:40 2026 memory use: 331.0 MB
  67. Sun Nov 1 01:49:41 2026 reduce to 43828953 relations and 37699178 ideals in 1 passes
  68. Sun Nov 1 01:49:41 2026 max relations containing the same ideal: 107
  69. Sun Nov 1 01:49:51 2026 removing 4064290 relations and 3064290 ideals in 1000000 cliques
  70. Sun Nov 1 01:49:51 2026 commencing in-memory singleton removal
  71. Sun Nov 1 01:49:52 2026 begin with 39764663 relations and 37699178 unique ideals
  72. Sun Nov 1 01:49:52 2026 memory use: 303.6 MB
  73. Sun Nov 1 01:49:53 2026 reduce to 39488352 relations and 34352994 ideals in 1 passes
  74. Sun Nov 1 01:49:53 2026 max relations containing the same ideal: 103
  75. Sun Nov 1 01:50:03 2026 removing 3918529 relations and 2918529 ideals in 1000000 cliques
  76. Sun Nov 1 01:50:03 2026 commencing in-memory singleton removal
  77. Sun Nov 1 01:50:04 2026 begin with 35569823 relations and 34352994 unique ideals
  78. Sun Nov 1 01:50:04 2026 memory use: 278.1 MB
  79. Sun Nov 1 01:50:04 2026 reduce to 35291853 relations and 31150488 ideals in 1 passes
  80. Sun Nov 1 01:50:04 2026 max relations containing the same ideal: 92
  81. Sun Nov 1 01:50:13 2026 removing 3824099 relations and 2824099 ideals in 1000000 cliques
  82. Sun Nov 1 01:50:14 2026 commencing in-memory singleton removal
  83. Sun Nov 1 01:50:14 2026 begin with 31467754 relations and 31150488 unique ideals
  84. Sun Nov 1 01:50:14 2026 memory use: 253.7 MB
  85. Sun Nov 1 01:50:14 2026 reduce to 31178306 relations and 28029925 ideals in 1 passes
  86. Sun Nov 1 01:50:14 2026 max relations containing the same ideal: 83
  87. Sun Nov 1 01:50:22 2026 removing 3759691 relations and 2759691 ideals in 1000000 cliques
  88. Sun Nov 1 01:50:22 2026 commencing in-memory singleton removal
  89. Sun Nov 1 01:50:22 2026 begin with 27418615 relations and 28029925 unique ideals
  90. Sun Nov 1 01:50:22 2026 memory use: 229.9 MB
  91. Sun Nov 1 01:50:23 2026 reduce to 27109176 relations and 24952423 ideals in 1 passes
  92. Sun Nov 1 01:50:23 2026 max relations containing the same ideal: 77
  93. Sun Nov 1 01:50:30 2026 removing 3712185 relations and 2712185 ideals in 1000000 cliques
  94. Sun Nov 1 01:50:30 2026 commencing in-memory singleton removal
  95. Sun Nov 1 01:50:30 2026 begin with 23396991 relations and 24952423 unique ideals
  96. Sun Nov 1 01:50:30 2026 memory use: 206.4 MB
  97. Sun Nov 1 01:50:31 2026 reduce to 23054174 relations and 21886863 ideals in 1 passes
  98. Sun Nov 1 01:50:31 2026 max relations containing the same ideal: 70
  99. Sun Nov 1 01:50:37 2026 removing 1989940 relations and 1529217 ideals in 460723 cliques
  100. Sun Nov 1 01:50:37 2026 commencing in-memory singleton removal
  101. Sun Nov 1 01:50:38 2026 begin with 21064234 relations and 21886863 unique ideals
  102. Sun Nov 1 01:50:38 2026 memory use: 183.0 MB
  103. Sun Nov 1 01:50:38 2026 reduce to 20958267 relations and 20249896 ideals in 1 passes
  104. Sun Nov 1 01:50:38 2026 max relations containing the same ideal: 66
  105. Sun Nov 1 01:50:44 2026 relations with 0 large ideals: 2164
  106. Sun Nov 1 01:50:44 2026 relations with 1 large ideals: 11939
  107. Sun Nov 1 01:50:44 2026 relations with 2 large ideals: 164146
  108. Sun Nov 1 01:50:44 2026 relations with 3 large ideals: 954938
  109. Sun Nov 1 01:50:44 2026 relations with 4 large ideals: 2930980
  110. Sun Nov 1 01:50:44 2026 relations with 5 large ideals: 5241789
  111. Sun Nov 1 01:50:44 2026 relations with 6 large ideals: 5742840
  112. Sun Nov 1 01:50:44 2026 relations with 7+ large ideals: 5909471
  113. Sun Nov 1 01:50:44 2026 commencing 2-way merge
  114. Sun Nov 1 01:50:50 2026 reduce to 13191501 relation sets and 12483130 unique ideals
  115. Sun Nov 1 01:50:50 2026 commencing full merge
  116. Sun Nov 1 01:53:13 2026 memory use: 1634.7 MB
  117. Sun Nov 1 01:53:13 2026 found 6619036 cycles, need 6523330
  118. Sun Nov 1 01:53:14 2026 weight of 6523330 cycles is about 587580503 (90.07/cycle)
  119. Sun Nov 1 01:53:14 2026 distribution of cycle lengths:
  120. Sun Nov 1 01:53:14 2026 1 relations: 438787
  121. Sun Nov 1 01:53:14 2026 2 relations: 589794
  122. Sun Nov 1 01:53:14 2026 3 relations: 644250
  123. Sun Nov 1 01:53:14 2026 4 relations: 634691
  124. Sun Nov 1 01:53:14 2026 5 relations: 624643
  125. Sun Nov 1 01:53:14 2026 6 relations: 588329
  126. Sun Nov 1 01:53:14 2026 7 relations: 548959
  127. Sun Nov 1 01:53:14 2026 8 relations: 492159
  128. Sun Nov 1 01:53:14 2026 9 relations: 430942
  129. Sun Nov 1 01:53:14 2026 10+ relations: 1530776
  130. Sun Nov 1 01:53:14 2026 heaviest cycle: 21 relations
  131. Sun Nov 1 01:53:14 2026 commencing cycle optimization
  132. Sun Nov 1 01:53:21 2026 start with 43456642 relations
  133. Sun Nov 1 01:54:04 2026 pruned 1445991 relations
  134. Sun Nov 1 01:54:04 2026 memory use: 1376.7 MB
  135. Sun Nov 1 01:54:04 2026 distribution of cycle lengths:
  136. Sun Nov 1 01:54:04 2026 1 relations: 438787
  137. Sun Nov 1 01:54:04 2026 2 relations: 604250
  138. Sun Nov 1 01:54:04 2026 3 relations: 671077
  139. Sun Nov 1 01:54:04 2026 4 relations: 657156
  140. Sun Nov 1 01:54:04 2026 5 relations: 649356
  141. Sun Nov 1 01:54:04 2026 6 relations: 608401
  142. Sun Nov 1 01:54:04 2026 7 relations: 567203
  143. Sun Nov 1 01:54:04 2026 8 relations: 503504
  144. Sun Nov 1 01:54:04 2026 9 relations: 436484
  145. Sun Nov 1 01:54:04 2026 10+ relations: 1387112
  146. Sun Nov 1 01:54:04 2026 heaviest cycle: 21 relations
  147. Sun Nov 1 01:54:09 2026 RelProcTime: 535
  148. Sun Nov 1 01:54:09 2026
  149. Sun Nov 1 01:54:09 2026 commencing linear algebra
  150. Sun Nov 1 01:54:09 2026 using VBITS=256
  151. Sun Nov 1 01:54:09 2026 read 6523330 cycles
  152. Sun Nov 1 01:54:15 2026 cycles contain 20546178 unique relations
  153. Sun Nov 1 01:54:24 2026 read 20546178 relations
  154. Sun Nov 1 01:54:29 2026 using 20 quadratic characters above 4294917295
  155. Sun Nov 1 01:54:35 2026 building initial matrix
  156. Sun Nov 1 01:55:32 2026 memory use: 2812.0 MB
  157. Sun Nov 1 01:55:34 2026 read 6523330 cycles
  158. Sun Nov 1 01:55:35 2026 matrix is 6523152 x 6523330 (2404.8 MB) with weight 746258164 (114.40/col)
  159. Sun Nov 1 01:55:35 2026 sparse part has weight 558639128 (85.64/col)
  160. Sun Nov 1 01:55:49 2026 filtering completed in 2 passes
  161. Sun Nov 1 01:55:50 2026 matrix is 6522270 x 6522447 (2404.7 MB) with weight 746218638 (114.41/col)
  162. Sun Nov 1 01:55:50 2026 sparse part has weight 558625560 (85.65/col)
  163. Sun Nov 1 01:56:37 2026 matrix starts at (0, 0)
  164. Sun Nov 1 01:56:37 2026 matrix is 6522270 x 6522447 (2404.7 MB) with weight 746218638 (114.41/col)
  165. Sun Nov 1 01:56:37 2026 sparse part has weight 558625560 (85.65/col)
  166. Sun Nov 1 01:56:37 2026 saving the first 240 matrix rows for later
  167. Sun Nov 1 01:56:37 2026 matrix includes 256 packed rows
  168. Sun Nov 1 01:56:38 2026 matrix is 6522030 x 6522447 (2223.0 MB) with weight 509788304 (78.16/col)
  169. Sun Nov 1 01:56:38 2026 sparse part has weight 478375542 (73.34/col)
  170. Sun Nov 1 01:56:39 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  171. Sun Nov 1 01:56:39 2026 selected card has CUDA arch 12.0
  172. Sun Nov 1 01:56:39 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 73.3)
  173. Sun Nov 1 01:56:39 2026 nonzeros per matrix block: 128000000
  174. Sun Nov 1 01:56:39 2026 SpMV kernel: auto (by nonzeros per row)
  175. Sun Nov 1 01:56:40 2026 SpMV kernel auto: segscan for 8 of 8 blocks (below 28 nonzeros per row), warpmerge for 0
  176. Sun Nov 1 01:56:40 2026 packed CSR: 8/8 blocks with 24-bit columns, 0/8 with compressed rows; 912.4 MiB saved across all blocks
  177. Sun Nov 1 01:56:40 2026 GPU memory: 11015 MB free, 1393 MB for vectors, 9423 MB for sparse matrix blocks (2952 MB needed)
  178. Sun Nov 1 01:56:54 2026 commencing Lanczos iteration
  179. Sun Nov 1 01:56:55 2026 memory use: 4528.7 MB
  180. Sun Nov 1 01:57:07 2026 linear algebra at 0.5%, ETA 0h38m
  181. Sun Nov 1 01:57:22 2026 checking every 170000 dimensions, checkpointing every 10710000 dimensions
  182. Sun Nov 1 01:34:41 2026 lanczos halted after 25555 iterations (dim = 6522027)
  183. Sun Nov 1 01:34:57 2026 recovered 27 nontrivial dependencies
  184. Sun Nov 1 01:34:57 2026 BLanczosTime: 2448
  185. Sun Nov 1 01:34:57 2026
  186. Sun Nov 1 01:34:57 2026 commencing square root phase
  187. Sun Nov 1 01:34:57 2026 handling dependencies 1 to 64
  188. Sun Nov 1 01:34:57 2026 reading relations for dependency 1
  189. Sun Nov 1 01:34:58 2026 read 3260239 cycles
  190. Sun Nov 1 01:35:01 2026 cycles contain 10274630 unique relations
  191. Sun Nov 1 01:35:08 2026 read 10274630 relations
  192. Sun Nov 1 01:35:14 2026 multiplying 10274630 relations
  193. Sun Nov 1 01:35:53 2026 multiply complete, coefficients have about 553.09 million bits
  194. Sun Nov 1 01:35:53 2026 initial square root is modulo 91703
  195. Sun Nov 1 01:37:09 2026 sqrtTime: 132
  196. Sun Nov 1 01:37:09 2026 p65 factor: 20553927138166700793963903736371405199190707688803477734764897629
  197. Sun Nov 1 01:37:09 2026 p100 factor: 2812622407680748099438542210751935538092790368010980804999532611674601546794898154843788295038133739
  198. Sun Nov 1 01:37:09 2026 elapsed time 00:51:55
  199.  
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