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kyleaskine
Feb 2nd, 2026
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  1. Mon Feb 2 08:24:42 2026
  2. Mon Feb 2 08:24:42 2026
  3. Mon Feb 2 08:24:42 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Feb 2 08:24:42 2026 random seeds: c0fe67dc ccfb05f8
  5. Mon Feb 2 08:24:42 2026 Using 8 OpenMP threads
  6. Mon Feb 2 08:24:42 2026 factoring 9729564217353028106018023053143412549717763594983823857634334392071131840161519311121128063702448357029114205730442583960699127577148148497718181216852789359 (157 digits)
  7. Mon Feb 2 08:24:42 2026 searching for 15-digit factors
  8. Mon Feb 2 08:24:42 2026 commencing number field sieve (157-digit input)
  9. Mon Feb 2 08:24:42 2026 R0: -3596495864696881078971989529527
  10. Mon Feb 2 08:24:42 2026 R1: 11519207813124669991
  11. Mon Feb 2 08:24:42 2026 A0: -318358288191580097678693254975577700960
  12. Mon Feb 2 08:24:42 2026 A1: 177134975723136100994066348887374
  13. Mon Feb 2 08:24:42 2026 A2: 3344899703689232421253353
  14. Mon Feb 2 08:24:42 2026 A3: -7008189688274310127
  15. Mon Feb 2 08:24:42 2026 A4: -168038566505
  16. Mon Feb 2 08:24:42 2026 A5: 16170
  17. Mon Feb 2 08:24:42 2026 skew 9335694.42, size 3.448e-15, alpha -6.959, combined = 2.386e-12 rroots = 5
  18. Mon Feb 2 08:24:42 2026
  19. Mon Feb 2 08:24:42 2026 commencing relation filtering
  20. Mon Feb 2 08:24:42 2026 estimated available RAM is 78540.1 MB
  21. Mon Feb 2 08:24:42 2026 commencing duplicate removal, pass 1
  22. Mon Feb 2 08:25:44 2026 error -1 reading relation 36453586
  23. Mon Feb 2 08:26:16 2026 error -1 reading relation 56873996
  24. Mon Feb 2 08:26:17 2026 error -1 reading relation 57092179
  25. Mon Feb 2 08:26:47 2026 error -1 reading relation 76876859
  26. Mon Feb 2 08:27:00 2026 error -1 reading relation 85169147
  27. Mon Feb 2 08:27:44 2026 error -1 reading relation 112897731
  28. Mon Feb 2 08:27:46 2026 error -1 reading relation 114245909
  29. Mon Feb 2 08:27:46 2026 skipped 42 malformed relations
  30. Mon Feb 2 08:27:46 2026 found 17152267 hash collisions in 114555587 relations
  31. Mon Feb 2 08:28:00 2026 added 122214 free relations
  32. Mon Feb 2 08:28:00 2026 commencing duplicate removal, pass 2
  33. Mon Feb 2 08:28:41 2026 found 14616038 duplicates and 100061763 unique relations
  34. Mon Feb 2 08:28:41 2026 memory use: 660.8 MB
  35. Mon Feb 2 08:28:41 2026 reading ideals above 720000
  36. Mon Feb 2 08:28:41 2026 commencing singleton removal, initial pass
  37. Mon Feb 2 08:34:20 2026 memory use: 2756.0 MB
  38. Mon Feb 2 08:34:20 2026 reading all ideals from disk
  39. Mon Feb 2 08:34:22 2026 memory use: 4420.3 MB
  40. Mon Feb 2 08:34:28 2026 keeping 91016012 ideals with weight <= 200, target excess is 532019
  41. Mon Feb 2 08:34:35 2026 commencing in-memory singleton removal
  42. Mon Feb 2 08:34:36 2026 begin with 100061763 relations and 91016012 unique ideals
  43. Mon Feb 2 08:34:47 2026 reduce to 58168843 relations and 44971156 ideals in 13 passes
  44. Mon Feb 2 08:34:47 2026 max relations containing the same ideal: 144
  45. Mon Feb 2 08:35:05 2026 removing 8130559 relations and 6130559 ideals in 2000000 cliques
  46. Mon Feb 2 08:35:06 2026 commencing in-memory singleton removal
  47. Mon Feb 2 08:35:07 2026 begin with 50038284 relations and 44971156 unique ideals
  48. Mon Feb 2 08:35:10 2026 reduce to 49187042 relations and 37953657 ideals in 8 passes
  49. Mon Feb 2 08:35:10 2026 max relations containing the same ideal: 130
  50. Mon Feb 2 08:35:23 2026 removing 6539844 relations and 4539844 ideals in 2000000 cliques
  51. Mon Feb 2 08:35:24 2026 commencing in-memory singleton removal
  52. Mon Feb 2 08:35:25 2026 begin with 42647198 relations and 37953657 unique ideals
  53. Mon Feb 2 08:35:28 2026 reduce to 42028240 relations and 32770456 ideals in 7 passes
  54. Mon Feb 2 08:35:28 2026 max relations containing the same ideal: 118
  55. Mon Feb 2 08:35:41 2026 removing 6110568 relations and 4110568 ideals in 2000000 cliques
  56. Mon Feb 2 08:35:42 2026 commencing in-memory singleton removal
  57. Mon Feb 2 08:35:42 2026 begin with 35917672 relations and 32770456 unique ideals
  58. Mon Feb 2 08:35:45 2026 reduce to 35334321 relations and 28051332 ideals in 9 passes
  59. Mon Feb 2 08:35:45 2026 max relations containing the same ideal: 106
  60. Mon Feb 2 08:35:57 2026 removing 5898506 relations and 3898506 ideals in 2000000 cliques
  61. Mon Feb 2 08:35:58 2026 commencing in-memory singleton removal
  62. Mon Feb 2 08:35:58 2026 begin with 29435815 relations and 28051332 unique ideals
  63. Mon Feb 2 08:36:00 2026 reduce to 28833517 relations and 23520384 ideals in 8 passes
  64. Mon Feb 2 08:36:00 2026 max relations containing the same ideal: 92
  65. Mon Feb 2 08:36:09 2026 removing 5769651 relations and 3769651 ideals in 2000000 cliques
  66. Mon Feb 2 08:36:10 2026 commencing in-memory singleton removal
  67. Mon Feb 2 08:36:11 2026 begin with 23063866 relations and 23520384 unique ideals
  68. Mon Feb 2 08:36:12 2026 reduce to 22399894 relations and 19046876 ideals in 7 passes
  69. Mon Feb 2 08:36:12 2026 max relations containing the same ideal: 79
  70. Mon Feb 2 08:36:19 2026 removing 5671893 relations and 3671893 ideals in 2000000 cliques
  71. Mon Feb 2 08:36:20 2026 commencing in-memory singleton removal
  72. Mon Feb 2 08:36:20 2026 begin with 16728001 relations and 19046876 unique ideals
  73. Mon Feb 2 08:36:21 2026 reduce to 15942557 relations and 14528940 ideals in 8 passes
  74. Mon Feb 2 08:36:21 2026 max relations containing the same ideal: 63
  75. Mon Feb 2 08:36:27 2026 removing 2632778 relations and 1836304 ideals in 796474 cliques
  76. Mon Feb 2 08:36:27 2026 commencing in-memory singleton removal
  77. Mon Feb 2 08:36:27 2026 begin with 13309779 relations and 14528940 unique ideals
  78. Mon Feb 2 08:36:28 2026 reduce to 13026170 relations and 12396235 ideals in 8 passes
  79. Mon Feb 2 08:36:28 2026 max relations containing the same ideal: 56
  80. Mon Feb 2 08:36:32 2026 removing 80075 relations and 67283 ideals in 12792 cliques
  81. Mon Feb 2 08:36:33 2026 commencing in-memory singleton removal
  82. Mon Feb 2 08:36:33 2026 begin with 12946095 relations and 12396235 unique ideals
  83. Mon Feb 2 08:36:33 2026 reduce to 12945829 relations and 12328685 ideals in 4 passes
  84. Mon Feb 2 08:36:33 2026 max relations containing the same ideal: 56
  85. Mon Feb 2 08:36:34 2026 relations with 0 large ideals: 1785
  86. Mon Feb 2 08:36:34 2026 relations with 1 large ideals: 14082
  87. Mon Feb 2 08:36:34 2026 relations with 2 large ideals: 177797
  88. Mon Feb 2 08:36:34 2026 relations with 3 large ideals: 905844
  89. Mon Feb 2 08:36:34 2026 relations with 4 large ideals: 2379976
  90. Mon Feb 2 08:36:34 2026 relations with 5 large ideals: 3574835
  91. Mon Feb 2 08:36:34 2026 relations with 6 large ideals: 3280805
  92. Mon Feb 2 08:36:34 2026 relations with 7+ large ideals: 2610705
  93. Mon Feb 2 08:36:34 2026 commencing 2-way merge
  94. Mon Feb 2 08:36:39 2026 reduce to 8433311 relation sets and 7816167 unique ideals
  95. Mon Feb 2 08:36:39 2026 commencing full merge
  96. Mon Feb 2 08:38:24 2026 memory use: 979.3 MB
  97. Mon Feb 2 08:38:25 2026 found 4247863 cycles, need 4164367
  98. Mon Feb 2 08:38:26 2026 weight of 4164367 cycles is about 375345426 (90.13/cycle)
  99. Mon Feb 2 08:38:26 2026 distribution of cycle lengths:
  100. Mon Feb 2 08:38:26 2026 1 relations: 198183
  101. Mon Feb 2 08:38:26 2026 2 relations: 336769
  102. Mon Feb 2 08:38:26 2026 3 relations: 404793
  103. Mon Feb 2 08:38:26 2026 4 relations: 423783
  104. Mon Feb 2 08:38:26 2026 5 relations: 433693
  105. Mon Feb 2 08:38:26 2026 6 relations: 415363
  106. Mon Feb 2 08:38:26 2026 7 relations: 386950
  107. Mon Feb 2 08:38:26 2026 8 relations: 341555
  108. Mon Feb 2 08:38:26 2026 9 relations: 291313
  109. Mon Feb 2 08:38:26 2026 10+ relations: 931965
  110. Mon Feb 2 08:38:26 2026 heaviest cycle: 20 relations
  111. Mon Feb 2 08:38:28 2026 commencing cycle optimization
  112. Mon Feb 2 08:38:33 2026 start with 27901147 relations
  113. Mon Feb 2 08:39:09 2026 pruned 1054948 relations
  114. Mon Feb 2 08:39:10 2026 memory use: 824.6 MB
  115. Mon Feb 2 08:39:10 2026 distribution of cycle lengths:
  116. Mon Feb 2 08:39:10 2026 1 relations: 198183
  117. Mon Feb 2 08:39:10 2026 2 relations: 346298
  118. Mon Feb 2 08:39:10 2026 3 relations: 423824
  119. Mon Feb 2 08:39:10 2026 4 relations: 442182
  120. Mon Feb 2 08:39:10 2026 5 relations: 455466
  121. Mon Feb 2 08:39:10 2026 6 relations: 433946
  122. Mon Feb 2 08:39:10 2026 7 relations: 402956
  123. Mon Feb 2 08:39:10 2026 8 relations: 350013
  124. Mon Feb 2 08:39:10 2026 9 relations: 293077
  125. Mon Feb 2 08:39:10 2026 10+ relations: 818422
  126. Mon Feb 2 08:39:10 2026 heaviest cycle: 20 relations
  127. Mon Feb 2 08:39:15 2026 RelProcTime: 873
  128. Mon Feb 2 08:39:15 2026
  129. Mon Feb 2 08:39:15 2026 commencing linear algebra
  130. Mon Feb 2 08:39:15 2026 using VBITS=256
  131. Mon Feb 2 08:39:15 2026 read 4164367 cycles
  132. Mon Feb 2 08:39:20 2026 cycles contain 12637439 unique relations
  133. Mon Feb 2 08:39:32 2026 read 12637439 relations
  134. Mon Feb 2 08:39:35 2026 using 20 quadratic characters above 4294917295
  135. Mon Feb 2 08:39:40 2026 building initial matrix
  136. Mon Feb 2 08:41:46 2026 memory use: 1758.1 MB
  137. Mon Feb 2 08:41:47 2026 read 4164367 cycles
  138. Mon Feb 2 08:41:48 2026 matrix is 4164186 x 4164367 (1544.6 MB) with weight 484605886 (116.37/col)
  139. Mon Feb 2 08:41:48 2026 sparse part has weight 354938445 (85.23/col)
  140. Mon Feb 2 08:42:13 2026 filtering completed in 2 passes
  141. Mon Feb 2 08:42:13 2026 matrix is 4163710 x 4163890 (1544.6 MB) with weight 484582831 (116.38/col)
  142. Mon Feb 2 08:42:13 2026 sparse part has weight 354930239 (85.24/col)
  143. Mon Feb 2 08:42:20 2026 matrix starts at (0, 0)
  144. Mon Feb 2 08:42:21 2026 matrix is 4163710 x 4163890 (1544.6 MB) with weight 484582831 (116.38/col)
  145. Mon Feb 2 08:42:21 2026 sparse part has weight 354930239 (85.24/col)
  146. Mon Feb 2 08:42:21 2026 saving the first 240 matrix rows for later
  147. Mon Feb 2 08:42:21 2026 matrix includes 256 packed rows
  148. Mon Feb 2 08:42:22 2026 matrix is 4163470 x 4163890 (1404.8 MB) with weight 322789728 (77.52/col)
  149. Mon Feb 2 08:42:22 2026 sparse part has weight 301646279 (72.44/col)
  150. Mon Feb 2 08:42:22 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  151. Mon Feb 2 08:42:22 2026 selected card has CUDA arch 12.0
  152. Mon Feb 2 08:42:36 2026 commencing Lanczos iteration
  153. Mon Feb 2 08:42:38 2026 memory use: 3349.7 MB
  154. Mon Feb 2 08:42:47 2026 linear algebra at 0.7%, ETA 0h20m
  155. Mon Feb 2 08:43:02 2026 checking every 190000 dimensions, checkpointing every 11590000 dimensions
  156. Mon Feb 2 09:04:02 2026 lanczos halted after 16314 iterations (dim = 4163470)
  157. Mon Feb 2 09:04:15 2026 recovered 30 nontrivial dependencies
  158. Mon Feb 2 09:04:16 2026 BLanczosTime: 1501
  159. Mon Feb 2 09:04:16 2026
  160. Mon Feb 2 09:04:16 2026 commencing square root phase
  161. Mon Feb 2 09:04:16 2026 reading relations for dependency 1
  162. Mon Feb 2 09:04:16 2026 read 2082163 cycles
  163. Mon Feb 2 09:04:19 2026 cycles contain 6320422 unique relations
  164. Mon Feb 2 09:04:33 2026 read 6320422 relations
  165. Mon Feb 2 09:04:59 2026 multiplying 6320422 relations
  166. Mon Feb 2 09:05:42 2026 multiply complete, coefficients have about 318.66 million bits
  167. Mon Feb 2 09:05:44 2026 initial square root is modulo 522283
  168. Mon Feb 2 09:07:31 2026 GCD is N, no factor found
  169. Mon Feb 2 09:07:31 2026 reading relations for dependency 2
  170. Mon Feb 2 09:07:31 2026 read 2081960 cycles
  171. Mon Feb 2 09:07:34 2026 cycles contain 6318258 unique relations
  172. Mon Feb 2 09:07:50 2026 read 6318258 relations
  173. Mon Feb 2 09:08:15 2026 multiplying 6318258 relations
  174. Mon Feb 2 09:08:59 2026 multiply complete, coefficients have about 318.56 million bits
  175. Mon Feb 2 09:09:00 2026 initial square root is modulo 520151
  176. Mon Feb 2 09:10:32 2026 GCD is N, no factor found
  177. Mon Feb 2 09:10:32 2026 reading relations for dependency 3
  178. Mon Feb 2 09:10:32 2026 read 2080821 cycles
  179. Mon Feb 2 09:10:34 2026 cycles contain 6316880 unique relations
  180. Mon Feb 2 09:10:42 2026 read 6316880 relations
  181. Mon Feb 2 09:10:57 2026 multiplying 6316880 relations
  182. Mon Feb 2 09:11:26 2026 multiply complete, coefficients have about 318.49 million bits
  183. Mon Feb 2 09:11:26 2026 initial square root is modulo 518597
  184. Mon Feb 2 09:12:25 2026 GCD is N, no factor found
  185. Mon Feb 2 09:12:25 2026 reading relations for dependency 4
  186. Mon Feb 2 09:12:26 2026 read 2080905 cycles
  187. Mon Feb 2 09:12:28 2026 cycles contain 6318900 unique relations
  188. Mon Feb 2 09:12:35 2026 read 6318900 relations
  189. Mon Feb 2 09:12:52 2026 multiplying 6318900 relations
  190. Mon Feb 2 09:13:21 2026 multiply complete, coefficients have about 318.59 million bits
  191. Mon Feb 2 09:13:21 2026 initial square root is modulo 520813
  192. Mon Feb 2 09:14:22 2026 GCD is N, no factor found
  193. Mon Feb 2 09:14:22 2026 reading relations for dependency 5
  194. Mon Feb 2 09:14:23 2026 read 2082245 cycles
  195. Mon Feb 2 09:14:25 2026 cycles contain 6319190 unique relations
  196. Mon Feb 2 09:14:33 2026 read 6319190 relations
  197. Mon Feb 2 09:14:47 2026 multiplying 6319190 relations
  198. Mon Feb 2 09:15:10 2026 multiply complete, coefficients have about 318.60 million bits
  199. Mon Feb 2 09:15:11 2026 initial square root is modulo 521021
  200. Mon Feb 2 09:16:11 2026 sqrtTime: 715
  201. Mon Feb 2 09:16:11 2026 p71 factor: 78355222149331480510123664716370207297470588985145050852849259101372689
  202. Mon Feb 2 09:16:11 2026 p87 factor: 124172505041338075585367031656541712201563210200240725300628532075816075357599431324031
  203. Mon Feb 2 09:16:11 2026 elapsed time 00:51:29
  204.  
Tags: math
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