kyleaskine

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Mar 3rd, 2026
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  1. Sat Feb 28 20:24:28 2026
  2. Sat Feb 28 20:24:28 2026
  3. Sat Feb 28 20:24:28 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Feb 28 20:24:28 2026 random seeds: aab42273 fd585f3e
  5. Sat Feb 28 20:24:28 2026 factoring 1736990134841502640626753386091646698626113096669852255166898461106309882482317260334430841359523776514011128902710995286768585388199136950290114606132616060589653 (163 digits)
  6. Sat Feb 28 20:24:29 2026 no P-1/P+1/ECM available, skipping
  7. Sat Feb 28 20:24:29 2026 commencing number field sieve (163-digit input)
  8. Sat Feb 28 20:24:29 2026 R0: -45166861312155602687083656718303
  9. Sat Feb 28 20:24:29 2026 R1: 185076495706499924363
  10. Sat Feb 28 20:24:29 2026 A0: 19194369422484709561155916164846650100
  11. Sat Feb 28 20:24:29 2026 A1: 35671855087402166197908014707865
  12. Sat Feb 28 20:24:29 2026 A2: -31834034255866102794461418
  13. Sat Feb 28 20:24:29 2026 A3: -10642458562921079039
  14. Sat Feb 28 20:24:29 2026 A4: 5630968393554
  15. Sat Feb 28 20:24:29 2026 A5: 388080
  16. Sat Feb 28 20:24:29 2026 skew 1.00, size 1.171e-15, alpha -7.382, combined = 1.084e-14 rroots = 5
  17. Sat Feb 28 20:24:29 2026
  18. Sat Feb 28 20:24:29 2026 commencing relation filtering
  19. Sat Feb 28 20:24:29 2026 setting target matrix density to 70.0
  20. Sat Feb 28 20:24:29 2026 estimated available RAM is 95911.2 MB
  21. Sat Feb 28 20:24:29 2026 commencing duplicate removal, pass 1
  22. Sat Feb 28 20:26:23 2026 error -15 reading relation 21033168
  23. Sat Feb 28 20:26:25 2026 error -15 reading relation 21378451
  24. Sat Feb 28 20:26:27 2026 error -15 reading relation 21618968
  25. Sat Feb 28 20:26:39 2026 error -5 reading relation 23901896
  26. Sat Feb 28 20:27:07 2026 error -9 reading relation 28966406
  27. Sat Feb 28 20:27:39 2026 error -1 reading relation 35005185
  28. Sat Feb 28 20:27:41 2026 error -9 reading relation 35328592
  29. Sat Feb 28 20:27:58 2026 error -5 reading relation 38368627
  30. Sat Feb 28 20:30:06 2026 error -15 reading relation 61825586
  31. Sat Feb 28 20:31:01 2026 error -15 reading relation 72085456
  32. Sat Feb 28 20:31:25 2026 error -15 reading relation 76342789
  33. Sat Feb 28 20:31:25 2026 error -9 reading relation 76349769
  34. Sat Feb 28 20:31:25 2026 error -15 reading relation 76355511
  35. Sat Feb 28 20:31:41 2026 error -9 reading relation 79470896
  36. Sat Feb 28 20:32:11 2026 error -15 reading relation 84947307
  37. Sat Feb 28 20:32:15 2026 error -15 reading relation 85739521
  38. Sat Feb 28 20:32:20 2026 error -1 reading relation 86864245
  39. Sat Feb 28 20:32:23 2026 error -15 reading relation 87327654
  40. Sat Feb 28 20:32:30 2026 error -15 reading relation 88468231
  41. Sat Feb 28 20:32:54 2026 error -9 reading relation 92868508
  42. Sat Feb 28 20:33:15 2026 error -9 reading relation 96683773
  43. Sat Feb 28 20:33:16 2026 error -9 reading relation 96899952
  44. Sat Feb 28 20:33:25 2026 error -15 reading relation 98444342
  45. Sat Feb 28 20:33:25 2026 error -15 reading relation 98452940
  46. Sat Feb 28 20:33:27 2026 error -9 reading relation 98704419
  47. Sat Feb 28 20:33:29 2026 error -9 reading relation 99077874
  48. Sat Feb 28 20:33:29 2026 error -9 reading relation 99108643
  49. Sat Feb 28 20:33:29 2026 error -15 reading relation 99162410
  50. Sat Feb 28 20:33:29 2026 error -9 reading relation 99239547
  51. Sat Feb 28 20:33:34 2026 error -15 reading relation 100092058
  52. Sat Feb 28 20:33:35 2026 error -9 reading relation 100183818
  53. Sat Feb 28 20:33:40 2026 error -9 reading relation 101267067
  54. Sat Feb 28 20:33:43 2026 error -9 reading relation 101779395
  55. Sat Feb 28 20:33:43 2026 error -9 reading relation 101790678
  56. Sat Feb 28 20:33:47 2026 error -9 reading relation 102373777
  57. Sat Feb 28 20:33:47 2026 error -1 reading relation 102399999
  58. Sat Feb 28 20:33:51 2026 error -15 reading relation 103149017
  59. Sat Feb 28 20:33:52 2026 error -1 reading relation 103306267
  60. Sat Feb 28 20:33:52 2026 error -9 reading relation 103392962
  61. Sat Feb 28 20:33:56 2026 error -15 reading relation 104032767
  62. Sat Feb 28 20:33:56 2026 error -9 reading relation 104072538
  63. Sat Feb 28 20:33:58 2026 error -5 reading relation 104390925
  64. Sat Feb 28 20:33:58 2026 error -15 reading relation 104438004
  65. Sat Feb 28 20:33:58 2026 error -15 reading relation 104473087
  66. Sat Feb 28 20:33:58 2026 error -15 reading relation 104522842
  67. Sat Feb 28 20:34:06 2026 error -1 reading relation 106129342
  68. Sat Feb 28 20:34:07 2026 error -9 reading relation 106253448
  69. Sat Feb 28 20:34:08 2026 error -15 reading relation 106476382
  70. Sat Feb 28 20:34:35 2026 error -9 reading relation 111925117
  71. Sat Feb 28 20:34:35 2026 error -15 reading relation 111930468
  72. Sat Feb 28 20:34:36 2026 error -9 reading relation 111935888
  73. Sat Feb 28 20:34:37 2026 error -15 reading relation 112267816
  74. Sat Feb 28 20:34:38 2026 error -9 reading relation 112422427
  75. Sat Feb 28 20:34:38 2026 error -9 reading relation 112427547
  76. Sat Feb 28 20:34:41 2026 error -15 reading relation 113004003
  77. Sat Feb 28 20:34:41 2026 error -1 reading relation 113098004
  78. Sat Feb 28 20:34:41 2026 error -9 reading relation 113142814
  79. Sat Feb 28 20:34:42 2026 error -15 reading relation 113174770
  80. Sat Feb 28 20:34:42 2026 error -15 reading relation 113215116
  81. Sat Feb 28 20:34:43 2026 error -9 reading relation 113416742
  82. Sat Feb 28 20:34:43 2026 error -9 reading relation 113446689
  83. Sat Feb 28 20:34:43 2026 error -9 reading relation 113486754
  84. Sat Feb 28 20:34:44 2026 error -15 reading relation 113551757
  85. Sat Feb 28 20:34:51 2026 error -5 reading relation 114988212
  86. Sat Feb 28 20:34:53 2026 error -15 reading relation 115312365
  87. Sat Feb 28 20:35:14 2026 error -15 reading relation 119767027
  88. Sat Feb 28 20:35:14 2026 error -15 reading relation 119784680
  89. Sat Feb 28 20:35:46 2026 error -9 reading relation 126327067
  90. Sat Feb 28 20:35:49 2026 skipped 1 relations with b > 2^32
  91. Sat Feb 28 20:35:49 2026 skipped 35 relations with composite factors
  92. Sat Feb 28 20:35:49 2026 found 19801099 hash collisions in 126944289 relations
  93. Sat Feb 28 20:36:07 2026 added 122229 free relations
  94. Sat Feb 28 20:36:07 2026 commencing duplicate removal, pass 2
  95. Sat Feb 28 20:38:53 2026 found 19352729 duplicates and 107713789 unique relations
  96. Sat Feb 28 20:38:53 2026 memory use: 788.8 MB
  97. Sat Feb 28 20:38:53 2026 reading ideals above 720000
  98. Sat Feb 28 20:38:53 2026 commencing singleton removal, initial pass
  99. Sat Feb 28 20:52:50 2026 memory use: 3012.0 MB
  100. Sat Feb 28 20:52:50 2026 reading all ideals from disk
  101. Sat Feb 28 20:52:53 2026 memory use: 3983.0 MB
  102. Sat Feb 28 20:53:05 2026 keeping 112282346 ideals with weight <= 200, target excess is 577463
  103. Sat Feb 28 20:53:24 2026 commencing in-memory singleton removal
  104. Sat Feb 28 20:53:34 2026 begin with 107713789 relations and 112282346 unique ideals
  105. Sat Feb 28 20:57:10 2026 reduce to 46814782 relations and 42274968 ideals in 19 passes
  106. Sat Feb 28 20:57:10 2026 max relations containing the same ideal: 120
  107. Sat Feb 28 20:57:43 2026 removing 3853975 relations and 3453975 ideals in 400000 cliques
  108. Sat Feb 28 20:57:46 2026 commencing in-memory singleton removal
  109. Sat Feb 28 20:57:50 2026 begin with 42960807 relations and 42274968 unique ideals
  110. Sat Feb 28 20:59:37 2026 reduce to 42717466 relations and 38574703 ideals in 11 passes
  111. Sat Feb 28 20:59:37 2026 max relations containing the same ideal: 114
  112. Sat Feb 28 21:00:06 2026 removing 2828736 relations and 2428736 ideals in 400000 cliques
  113. Sat Feb 28 21:00:09 2026 commencing in-memory singleton removal
  114. Sat Feb 28 21:00:12 2026 begin with 39888730 relations and 38574703 unique ideals
  115. Sat Feb 28 21:01:32 2026 reduce to 39740276 relations and 35996020 ideals in 10 passes
  116. Sat Feb 28 21:01:32 2026 max relations containing the same ideal: 109
  117. Sat Feb 28 21:02:00 2026 removing 2505444 relations and 2105444 ideals in 400000 cliques
  118. Sat Feb 28 21:02:02 2026 commencing in-memory singleton removal
  119. Sat Feb 28 21:02:05 2026 begin with 37234832 relations and 35996020 unique ideals
  120. Sat Feb 28 21:03:12 2026 reduce to 37109033 relations and 33763486 ideals in 8 passes
  121. Sat Feb 28 21:03:12 2026 max relations containing the same ideal: 101
  122. Sat Feb 28 21:03:38 2026 removing 2330724 relations and 1930724 ideals in 400000 cliques
  123. Sat Feb 28 21:03:41 2026 commencing in-memory singleton removal
  124. Sat Feb 28 21:03:44 2026 begin with 34778309 relations and 33763486 unique ideals
  125. Sat Feb 28 21:04:46 2026 reduce to 34662399 relations and 31715727 ideals in 8 passes
  126. Sat Feb 28 21:04:46 2026 max relations containing the same ideal: 97
  127. Sat Feb 28 21:05:10 2026 removing 2217564 relations and 1817564 ideals in 400000 cliques
  128. Sat Feb 28 21:05:12 2026 commencing in-memory singleton removal
  129. Sat Feb 28 21:05:15 2026 begin with 32444835 relations and 31715727 unique ideals
  130. Sat Feb 28 21:06:13 2026 reduce to 32333507 relations and 29785641 ideals in 8 passes
  131. Sat Feb 28 21:06:13 2026 max relations containing the same ideal: 93
  132. Sat Feb 28 21:06:35 2026 removing 2135447 relations and 1735447 ideals in 400000 cliques
  133. Sat Feb 28 21:06:37 2026 commencing in-memory singleton removal
  134. Sat Feb 28 21:06:40 2026 begin with 30198060 relations and 29785641 unique ideals
  135. Sat Feb 28 21:07:41 2026 reduce to 30087917 relations and 27938834 ideals in 9 passes
  136. Sat Feb 28 21:07:41 2026 max relations containing the same ideal: 89
  137. Sat Feb 28 21:08:02 2026 removing 2077815 relations and 1677815 ideals in 400000 cliques
  138. Sat Feb 28 21:08:04 2026 commencing in-memory singleton removal
  139. Sat Feb 28 21:08:06 2026 begin with 28010102 relations and 27938834 unique ideals
  140. Sat Feb 28 21:08:50 2026 reduce to 27896941 relations and 26146545 ideals in 7 passes
  141. Sat Feb 28 21:08:50 2026 max relations containing the same ideal: 86
  142. Sat Feb 28 21:09:09 2026 removing 2037825 relations and 1637825 ideals in 400000 cliques
  143. Sat Feb 28 21:09:11 2026 commencing in-memory singleton removal
  144. Sat Feb 28 21:09:13 2026 begin with 25859116 relations and 26146545 unique ideals
  145. Sat Feb 28 21:10:04 2026 reduce to 25742602 relations and 24390719 ideals in 9 passes
  146. Sat Feb 28 21:10:04 2026 max relations containing the same ideal: 83
  147. Sat Feb 28 21:10:22 2026 removing 2006791 relations and 1606791 ideals in 400000 cliques
  148. Sat Feb 28 21:10:23 2026 commencing in-memory singleton removal
  149. Sat Feb 28 21:10:26 2026 begin with 23735811 relations and 24390719 unique ideals
  150. Sat Feb 28 21:11:06 2026 reduce to 23614270 relations and 22660744 ideals in 8 passes
  151. Sat Feb 28 21:11:06 2026 max relations containing the same ideal: 79
  152. Sat Feb 28 21:11:22 2026 removing 1505482 relations and 1221814 ideals in 283668 cliques
  153. Sat Feb 28 21:11:24 2026 commencing in-memory singleton removal
  154. Sat Feb 28 21:11:25 2026 begin with 22108788 relations and 22660744 unique ideals
  155. Sat Feb 28 21:12:03 2026 reduce to 22037226 relations and 21366616 ideals in 8 passes
  156. Sat Feb 28 21:12:03 2026 max relations containing the same ideal: 75
  157. Sat Feb 28 21:12:20 2026 relations with 0 large ideals: 1906
  158. Sat Feb 28 21:12:20 2026 relations with 1 large ideals: 12927
  159. Sat Feb 28 21:12:20 2026 relations with 2 large ideals: 174225
  160. Sat Feb 28 21:12:20 2026 relations with 3 large ideals: 1029604
  161. Sat Feb 28 21:12:20 2026 relations with 4 large ideals: 3201306
  162. Sat Feb 28 21:12:20 2026 relations with 5 large ideals: 5708452
  163. Sat Feb 28 21:12:20 2026 relations with 6 large ideals: 6094314
  164. Sat Feb 28 21:12:20 2026 relations with 7+ large ideals: 5814492
  165. Sat Feb 28 21:12:20 2026 commencing 2-way merge
  166. Sat Feb 28 21:12:43 2026 reduce to 13072176 relation sets and 12401566 unique ideals
  167. Sat Feb 28 21:12:43 2026 commencing full merge
  168. Sat Feb 28 21:16:43 2026 memory use: 1429.4 MB
  169. Sat Feb 28 21:16:47 2026 found 7032202 cycles, need 6939766
  170. Sat Feb 28 21:16:47 2026 weight of 6939766 cycles is about 485996317 (70.03/cycle)
  171. Sat Feb 28 21:16:47 2026 distribution of cycle lengths:
  172. Sat Feb 28 21:16:47 2026 1 relations: 924566
  173. Sat Feb 28 21:16:47 2026 2 relations: 856982
  174. Sat Feb 28 21:16:47 2026 3 relations: 856312
  175. Sat Feb 28 21:16:47 2026 4 relations: 774651
  176. Sat Feb 28 21:16:47 2026 5 relations: 689502
  177. Sat Feb 28 21:16:47 2026 6 relations: 609020
  178. Sat Feb 28 21:16:47 2026 7 relations: 528452
  179. Sat Feb 28 21:16:47 2026 8 relations: 443282
  180. Sat Feb 28 21:16:47 2026 9 relations: 360952
  181. Sat Feb 28 21:16:47 2026 10+ relations: 896047
  182. Sat Feb 28 21:16:47 2026 heaviest cycle: 18 relations
  183. Sat Feb 28 21:16:51 2026 commencing cycle optimization
  184. Sat Feb 28 21:17:04 2026 start with 36285149 relations
  185. Sat Feb 28 21:18:09 2026 pruned 715338 relations
  186. Sat Feb 28 21:18:09 2026 memory use: 1263.8 MB
  187. Sat Feb 28 21:18:09 2026 distribution of cycle lengths:
  188. Sat Feb 28 21:18:09 2026 1 relations: 924566
  189. Sat Feb 28 21:18:09 2026 2 relations: 874689
  190. Sat Feb 28 21:18:09 2026 3 relations: 882432
  191. Sat Feb 28 21:18:09 2026 4 relations: 788675
  192. Sat Feb 28 21:18:09 2026 5 relations: 703220
  193. Sat Feb 28 21:18:09 2026 6 relations: 615000
  194. Sat Feb 28 21:18:09 2026 7 relations: 532539
  195. Sat Feb 28 21:18:09 2026 8 relations: 440821
  196. Sat Feb 28 21:18:09 2026 9 relations: 356223
  197. Sat Feb 28 21:18:09 2026 10+ relations: 821601
  198. Sat Feb 28 21:18:09 2026 heaviest cycle: 18 relations
  199. Sat Feb 28 21:18:26 2026 RelProcTime: 3237
  200. Sat Feb 28 21:18:26 2026
  201. Sat Feb 28 21:18:26 2026 commencing linear algebra
  202. Sat Feb 28 21:18:27 2026 read 6939766 cycles
  203. Sat Feb 28 21:18:39 2026 cycles contain 21542335 unique relations
  204. Sat Feb 28 21:21:08 2026 read 21542335 relations
  205. Sat Feb 28 21:21:58 2026 using 20 quadratic characters above 4294917295
  206. Sat Feb 28 21:22:52 2026 building initial matrix
  207. Sat Feb 28 21:26:49 2026 memory use: 2987.4 MB
  208. Sat Feb 28 21:26:54 2026 read 6939766 cycles
  209. Sat Feb 28 21:26:55 2026 matrix is 6939589 x 6939766 (2118.9 MB) with weight 669429884 (96.46/col)
  210. Sat Feb 28 21:26:55 2026 sparse part has weight 472179880 (68.04/col)
  211. Sat Feb 28 21:28:01 2026 filtering completed in 2 passes
  212. Sat Feb 28 21:28:03 2026 matrix is 6933138 x 6933315 (2118.4 MB) with weight 669200195 (96.52/col)
  213. Sat Feb 28 21:28:03 2026 sparse part has weight 472129322 (68.10/col)
  214. Sat Feb 28 21:28:24 2026 matrix starts at (0, 0)
  215. Sat Feb 28 21:28:25 2026 matrix is 6933138 x 6933315 (2118.4 MB) with weight 669200195 (96.52/col)
  216. Sat Feb 28 21:28:25 2026 sparse part has weight 472129322 (68.10/col)
  217. Sat Feb 28 21:28:25 2026 saving the first 48 matrix rows for later
  218. Sat Feb 28 21:28:26 2026 matrix includes 64 packed rows
  219. Sat Feb 28 21:28:27 2026 matrix is 6933090 x 6933315 (2047.4 MB) with weight 534727995 (77.12/col)
  220. Sat Feb 28 21:28:27 2026 sparse part has weight 467384583 (67.41/col)
  221. Sat Feb 28 21:28:27 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
  222. Sat Feb 28 21:28:47 2026 commencing Lanczos iteration (16 threads)
  223. Sat Feb 28 21:28:47 2026 memory use: 1988.0 MB
  224. Sat Feb 28 21:29:02 2026 linear algebra at 0.0%, ETA 19h 1m
  225. Sat Feb 28 21:29:07 2026 checkpointing every 370000 dimensions
  226. Sun Mar 1 16:23:52 2026 lanczos halted after 109642 iterations (dim = 6933090)
  227. Sun Mar 1 16:23:58 2026 recovered 32 nontrivial dependencies
  228. Sun Mar 1 16:23:59 2026 BLanczosTime: 68733
  229. Sun Mar 1 16:23:59 2026
  230. Sun Mar 1 16:23:59 2026 commencing square root phase
  231. Sun Mar 1 16:23:59 2026 handling dependencies 1 to 64
  232. Sun Mar 1 16:23:59 2026 reading relations for dependency 1
  233. Sun Mar 1 16:24:01 2026 read 3466278 cycles
  234. Sun Mar 1 16:24:06 2026 cycles contain 10772280 unique relations
  235. Sun Mar 1 16:26:04 2026 read 10772280 relations
  236. Sun Mar 1 16:27:07 2026 multiplying 10772280 relations
  237. Sun Mar 1 16:38:21 2026 multiply complete, coefficients have about 594.70 million bits
  238. Sun Mar 1 16:38:24 2026 initial square root is modulo 216743
  239. Sun Mar 1 16:51:38 2026 GCD is N, no factor found
  240. Sun Mar 1 16:51:38 2026 reading relations for dependency 2
  241. Sun Mar 1 16:51:39 2026 read 3467413 cycles
  242. Sun Mar 1 16:51:45 2026 cycles contain 10774892 unique relations
  243. Sun Mar 1 16:53:28 2026 read 10774892 relations
  244. Sun Mar 1 16:54:23 2026 multiplying 10774892 relations
  245. Sun Mar 1 17:04:02 2026 multiply complete, coefficients have about 594.83 million bits
  246. Sun Mar 1 17:04:06 2026 initial square root is modulo 217111
  247. Sun Mar 1 17:16:14 2026 sqrtTime: 3135
  248. Sun Mar 1 17:16:14 2026 p60 factor: 232511715788513685922965718589377817869841006058308835086051
  249. Sun Mar 1 17:16:14 2026 p103 factor: 7470548866541510039623051236018072370213909106114277491994237404217215114712019902167530566870696006503
  250. Sun Mar 1 17:16:14 2026 elapsed time 20:51:46
  251.  
Tags: math
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