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Msieve log of 12p5_287

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May 9th, 2025
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  1. Sun May 04 21:04:02 2025
  2. Sun May 04 21:04:02 2025
  3. Sun May 04 21:04:02 2025 Msieve v. 1.54 (SVN 1018)
  4. Sun May 04 21:04:02 2025 random seeds: 4fe3d4f0 4fbb4b6e
  5. Sun May 04 21:04:02 2025 factoring 27564638235895542096403682522533617146015928171850114469994067617834417777063386475847692975321534235192735051307280570589387662176073931040887734929373991097780955740903951005997506110916658739177664159523451062187337024121780410704213547919657477 (248 digits)
  6. Sun May 04 21:04:03 2025 searching for 15-digit factors
  7. Sun May 04 21:04:04 2025 commencing number field sieve (248-digit input)
  8. Sun May 04 21:04:04 2025 R0: 176372588156290374069930666601805113523699712
  9. Sun May 04 21:04:04 2025 R1: -45474735088646411895751953125
  10. Sun May 04 21:04:04 2025 A0: 1
  11. Sun May 04 21:04:04 2025 A1: -1
  12. Sun May 04 21:04:04 2025 A2: 1
  13. Sun May 04 21:04:04 2025 A3: -1
  14. Sun May 04 21:04:04 2025 A4: 1
  15. Sun May 04 21:04:04 2025 A5: -1
  16. Sun May 04 21:04:04 2025 A6: 1
  17. Sun May 04 21:04:04 2025 skew 1.00, size 4.437e-013, alpha 2.428, combined = 6.254e-014 rroots = 0
  18. Sun May 04 21:04:04 2025
  19. Sun May 04 21:04:04 2025 commencing relation filtering
  20. Sun May 04 21:04:04 2025 setting target matrix density to 110.0
  21. Sun May 04 21:04:04 2025 estimated available RAM is 130978.7 MB
  22. Sun May 04 21:04:04 2025 commencing duplicate removal, pass 1
  23. Sun May 04 21:06:06 2025 error -1 reading relation 14320103
  24. Sun May 04 21:06:46 2025 error -9 reading relation 19088562
  25. Sun May 04 21:07:12 2025 error -15 reading relation 22146786
  26. Sun May 04 21:07:12 2025 error -9 reading relation 22146858
  27. Sun May 04 22:11:12 2025 error -5 reading relation 469841323
  28. Sun May 04 22:11:27 2025 error -9 reading relation 471527559
  29. Sun May 04 22:11:27 2025 skipped 1822 relations with b > 2^32
  30. Sun May 04 22:11:27 2025 skipped 284 relations with composite factors
  31. Sun May 04 22:11:27 2025 found 104156659 hash collisions in 471529742 relations
  32. Sun May 04 22:11:36 2025 added 2438534 free relations
  33. Sun May 04 22:11:36 2025 commencing duplicate removal, pass 2
  34. Sun May 04 22:16:32 2025 found 96414148 duplicates and 377554128 unique relations
  35. Sun May 04 22:16:32 2025 memory use: 2387.0 MB
  36. Sun May 04 22:16:32 2025 reading ideals above 720000
  37. Sun May 04 22:16:32 2025 commencing singleton removal, initial pass
  38. Sun May 04 23:12:00 2025 memory use: 11024.0 MB
  39. Sun May 04 23:12:00 2025 reading all ideals from disk
  40. Sun May 04 23:12:07 2025 memory use: 15815.1 MB
  41. Sun May 04 23:13:41 2025 keeping 341613687 ideals with weight <= 200, target excess is 1932415
  42. Sun May 04 23:15:13 2025 commencing in-memory singleton removal
  43. Sun May 04 23:16:18 2025 begin with 377554128 relations and 341613687 unique ideals
  44. Sun May 04 23:27:12 2025 reduce to 248869046 relations and 200106085 ideals in 15 passes
  45. Sun May 04 23:27:12 2025 max relations containing the same ideal: 162
  46. Sun May 04 23:30:12 2025 removing 13252497 relations and 11252497 ideals in 2000000 cliques
  47. Sun May 04 23:30:17 2025 commencing in-memory singleton removal
  48. Sun May 04 23:30:54 2025 begin with 235616549 relations and 200106085 unique ideals
  49. Sun May 04 23:35:31 2025 reduce to 235055655 relations and 188286347 ideals in 8 passes
  50. Sun May 04 23:35:31 2025 max relations containing the same ideal: 156
  51. Sun May 04 23:38:15 2025 removing 9977115 relations and 7977115 ideals in 2000000 cliques
  52. Sun May 04 23:38:19 2025 commencing in-memory singleton removal
  53. Sun May 04 23:38:54 2025 begin with 225078540 relations and 188286347 unique ideals
  54. Sun May 04 23:43:20 2025 reduce to 224721156 relations and 179948390 ideals in 8 passes
  55. Sun May 04 23:43:20 2025 max relations containing the same ideal: 154
  56. Sun May 04 23:45:58 2025 removing 8953324 relations and 6953324 ideals in 2000000 cliques
  57. Sun May 04 23:46:02 2025 commencing in-memory singleton removal
  58. Sun May 04 23:46:35 2025 begin with 215767832 relations and 179948390 unique ideals
  59. Sun May 04 23:50:46 2025 reduce to 215465594 relations and 172689984 ideals in 8 passes
  60. Sun May 04 23:50:46 2025 max relations containing the same ideal: 147
  61. Sun May 04 23:53:17 2025 removing 8391187 relations and 6391187 ideals in 2000000 cliques
  62. Sun May 04 23:53:21 2025 commencing in-memory singleton removal
  63. Sun May 04 23:53:52 2025 begin with 207074407 relations and 172689984 unique ideals
  64. Sun May 04 23:57:20 2025 reduce to 206795307 relations and 166017064 ideals in 7 passes
  65. Sun May 04 23:57:20 2025 max relations containing the same ideal: 144
  66. Sun May 04 23:59:43 2025 removing 8029682 relations and 6029682 ideals in 2000000 cliques
  67. Sun May 04 23:59:47 2025 commencing in-memory singleton removal
  68. Mon May 05 00:00:16 2025 begin with 198765625 relations and 166017064 unique ideals
  69. Mon May 05 00:03:34 2025 reduce to 198499988 relations and 159719183 ideals in 7 passes
  70. Mon May 05 00:03:34 2025 max relations containing the same ideal: 141
  71. Mon May 05 00:05:52 2025 removing 7775248 relations and 5775248 ideals in 2000000 cliques
  72. Mon May 05 00:05:56 2025 commencing in-memory singleton removal
  73. Mon May 05 00:06:24 2025 begin with 190724740 relations and 159719183 unique ideals
  74. Mon May 05 00:09:31 2025 reduce to 190467027 relations and 153683742 ideals in 7 passes
  75. Mon May 05 00:09:31 2025 max relations containing the same ideal: 138
  76. Mon May 05 00:11:43 2025 removing 7581571 relations and 5581571 ideals in 2000000 cliques
  77. Mon May 05 00:11:47 2025 commencing in-memory singleton removal
  78. Mon May 05 00:12:13 2025 begin with 182885456 relations and 153683742 unique ideals
  79. Mon May 05 00:15:13 2025 reduce to 182630676 relations and 147844909 ideals in 7 passes
  80. Mon May 05 00:15:13 2025 max relations containing the same ideal: 135
  81. Mon May 05 00:17:19 2025 removing 7438981 relations and 5438981 ideals in 2000000 cliques
  82. Mon May 05 00:17:23 2025 commencing in-memory singleton removal
  83. Mon May 05 00:17:48 2025 begin with 175191695 relations and 147844909 unique ideals
  84. Mon May 05 00:20:15 2025 reduce to 174938324 relations and 142150030 ideals in 6 passes
  85. Mon May 05 00:20:15 2025 max relations containing the same ideal: 133
  86. Mon May 05 00:22:16 2025 removing 7330743 relations and 5330743 ideals in 2000000 cliques
  87. Mon May 05 00:22:20 2025 commencing in-memory singleton removal
  88. Mon May 05 00:22:44 2025 begin with 167607581 relations and 142150030 unique ideals
  89. Mon May 05 00:25:04 2025 reduce to 167353813 relations and 136562832 ideals in 6 passes
  90. Mon May 05 00:25:04 2025 max relations containing the same ideal: 131
  91. Mon May 05 00:27:00 2025 removing 7246441 relations and 5246441 ideals in 2000000 cliques
  92. Mon May 05 00:27:03 2025 commencing in-memory singleton removal
  93. Mon May 05 00:27:27 2025 begin with 160107372 relations and 136562832 unique ideals
  94. Mon May 05 00:29:41 2025 reduce to 159850883 relations and 131057058 ideals in 6 passes
  95. Mon May 05 00:29:41 2025 max relations containing the same ideal: 122
  96. Mon May 05 00:31:33 2025 removing 7184856 relations and 5184856 ideals in 2000000 cliques
  97. Mon May 05 00:31:37 2025 commencing in-memory singleton removal
  98. Mon May 05 00:31:59 2025 begin with 152666027 relations and 131057058 unique ideals
  99. Mon May 05 00:34:26 2025 reduce to 152404039 relations and 125607139 ideals in 7 passes
  100. Mon May 05 00:34:26 2025 max relations containing the same ideal: 117
  101. Mon May 05 00:36:12 2025 removing 7136848 relations and 5136848 ideals in 2000000 cliques
  102. Mon May 05 00:36:15 2025 commencing in-memory singleton removal
  103. Mon May 05 00:36:36 2025 begin with 145267191 relations and 125607139 unique ideals
  104. Mon May 05 00:38:56 2025 reduce to 144997314 relations and 120197050 ideals in 7 passes
  105. Mon May 05 00:38:56 2025 max relations containing the same ideal: 114
  106. Mon May 05 00:40:37 2025 removing 7107773 relations and 5107773 ideals in 2000000 cliques
  107. Mon May 05 00:40:40 2025 commencing in-memory singleton removal
  108. Mon May 05 00:41:00 2025 begin with 137889541 relations and 120197050 unique ideals
  109. Mon May 05 00:43:31 2025 reduce to 137612100 relations and 114808390 ideals in 8 passes
  110. Mon May 05 00:43:31 2025 max relations containing the same ideal: 109
  111. Mon May 05 00:45:09 2025 removing 7086880 relations and 5086880 ideals in 2000000 cliques
  112. Mon May 05 00:45:12 2025 commencing in-memory singleton removal
  113. Mon May 05 00:45:30 2025 begin with 130525220 relations and 114808390 unique ideals
  114. Mon May 05 00:47:35 2025 reduce to 130236488 relations and 109428878 ideals in 7 passes
  115. Mon May 05 00:47:35 2025 max relations containing the same ideal: 106
  116. Mon May 05 00:49:05 2025 removing 7079539 relations and 5079539 ideals in 2000000 cliques
  117. Mon May 05 00:49:08 2025 commencing in-memory singleton removal
  118. Mon May 05 00:49:25 2025 begin with 123156949 relations and 109428878 unique ideals
  119. Mon May 05 00:51:22 2025 reduce to 122855772 relations and 104043983 ideals in 7 passes
  120. Mon May 05 00:51:22 2025 max relations containing the same ideal: 102
  121. Mon May 05 00:52:48 2025 removing 7081453 relations and 5081453 ideals in 2000000 cliques
  122. Mon May 05 00:52:51 2025 commencing in-memory singleton removal
  123. Mon May 05 00:53:07 2025 begin with 115774319 relations and 104043983 unique ideals
  124. Mon May 05 00:54:41 2025 reduce to 115456641 relations and 98640348 ideals in 6 passes
  125. Mon May 05 00:54:41 2025 max relations containing the same ideal: 97
  126. Mon May 05 00:56:02 2025 removing 7092536 relations and 5092536 ideals in 2000000 cliques
  127. Mon May 05 00:56:04 2025 commencing in-memory singleton removal
  128. Mon May 05 00:56:19 2025 begin with 108364105 relations and 98640348 unique ideals
  129. Mon May 05 00:58:01 2025 reduce to 108028823 relations and 93207269 ideals in 7 passes
  130. Mon May 05 00:58:01 2025 max relations containing the same ideal: 92
  131. Mon May 05 00:59:16 2025 removing 7114152 relations and 5114152 ideals in 2000000 cliques
  132. Mon May 05 00:59:19 2025 commencing in-memory singleton removal
  133. Mon May 05 00:59:33 2025 begin with 100914671 relations and 93207269 unique ideals
  134. Mon May 05 01:01:07 2025 reduce to 100555757 relations and 87728378 ideals in 7 passes
  135. Mon May 05 01:01:07 2025 max relations containing the same ideal: 89
  136. Mon May 05 01:02:18 2025 removing 7151038 relations and 5151038 ideals in 2000000 cliques
  137. Mon May 05 01:02:21 2025 commencing in-memory singleton removal
  138. Mon May 05 01:02:34 2025 begin with 93404719 relations and 87728378 unique ideals
  139. Mon May 05 01:04:13 2025 reduce to 93018889 relations and 82184805 ideals in 8 passes
  140. Mon May 05 01:04:13 2025 max relations containing the same ideal: 85
  141. Mon May 05 01:05:18 2025 removing 7200184 relations and 5200184 ideals in 2000000 cliques
  142. Mon May 05 01:05:21 2025 commencing in-memory singleton removal
  143. Mon May 05 01:05:33 2025 begin with 85818705 relations and 82184805 unique ideals
  144. Mon May 05 01:06:51 2025 reduce to 85400428 relations and 76558431 ideals in 7 passes
  145. Mon May 05 01:06:51 2025 max relations containing the same ideal: 80
  146. Mon May 05 01:07:51 2025 removing 7253441 relations and 5253441 ideals in 2000000 cliques
  147. Mon May 05 01:07:54 2025 commencing in-memory singleton removal
  148. Mon May 05 01:08:04 2025 begin with 78146987 relations and 76558431 unique ideals
  149. Mon May 05 01:09:26 2025 reduce to 77684454 relations and 70833163 ideals in 8 passes
  150. Mon May 05 01:09:26 2025 max relations containing the same ideal: 78
  151. Mon May 05 01:10:20 2025 removing 7328779 relations and 5328779 ideals in 2000000 cliques
  152. Mon May 05 01:10:23 2025 commencing in-memory singleton removal
  153. Mon May 05 01:10:32 2025 begin with 70355675 relations and 70833163 unique ideals
  154. Mon May 05 01:11:35 2025 reduce to 69840732 relations and 64978215 ideals in 7 passes
  155. Mon May 05 01:11:35 2025 max relations containing the same ideal: 74
  156. Mon May 05 01:12:25 2025 removing 7418168 relations and 5418168 ideals in 2000000 cliques
  157. Mon May 05 01:12:27 2025 commencing in-memory singleton removal
  158. Mon May 05 01:12:35 2025 begin with 62422564 relations and 64978215 unique ideals
  159. Mon May 05 01:13:47 2025 reduce to 61832673 relations and 58956040 ideals in 9 passes
  160. Mon May 05 01:13:47 2025 max relations containing the same ideal: 71
  161. Mon May 05 01:14:31 2025 removing 2978022 relations and 2342991 ideals in 635031 cliques
  162. Mon May 05 01:14:32 2025 commencing in-memory singleton removal
  163. Mon May 05 01:14:40 2025 begin with 58854651 relations and 58956040 unique ideals
  164. Mon May 05 01:15:32 2025 reduce to 58754135 relations and 56511686 ideals in 7 passes
  165. Mon May 05 01:15:32 2025 max relations containing the same ideal: 68
  166. Mon May 05 01:16:20 2025 relations with 0 large ideals: 144945
  167. Mon May 05 01:16:20 2025 relations with 1 large ideals: 59366
  168. Mon May 05 01:16:20 2025 relations with 2 large ideals: 575786
  169. Mon May 05 01:16:20 2025 relations with 3 large ideals: 3025377
  170. Mon May 05 01:16:20 2025 relations with 4 large ideals: 8577167
  171. Mon May 05 01:16:20 2025 relations with 5 large ideals: 14406510
  172. Mon May 05 01:16:20 2025 relations with 6 large ideals: 15065658
  173. Mon May 05 01:16:20 2025 relations with 7+ large ideals: 16899326
  174. Mon May 05 01:16:20 2025 commencing 2-way merge
  175. Mon May 05 01:17:15 2025 reduce to 37535180 relation sets and 35292731 unique ideals
  176. Mon May 05 01:17:15 2025 commencing full merge
  177. Mon May 05 01:38:20 2025 memory use: 4812.7 MB
  178. Mon May 05 01:38:29 2025 found 17665687 cycles, need 17430931
  179. Mon May 05 01:38:31 2025 weight of 17430931 cycles is about 1918074968 (110.04/cycle)
  180. Mon May 05 01:38:31 2025 distribution of cycle lengths:
  181. Mon May 05 01:38:31 2025 1 relations: 1151171
  182. Mon May 05 01:38:31 2025 2 relations: 1275336
  183. Mon May 05 01:38:31 2025 3 relations: 1337804
  184. Mon May 05 01:38:31 2025 4 relations: 1322355
  185. Mon May 05 01:38:31 2025 5 relations: 1302970
  186. Mon May 05 01:38:31 2025 6 relations: 1274976
  187. Mon May 05 01:38:31 2025 7 relations: 1231952
  188. Mon May 05 01:38:31 2025 8 relations: 1170922
  189. Mon May 05 01:38:31 2025 9 relations: 1097729
  190. Mon May 05 01:38:31 2025 10+ relations: 6265716
  191. Mon May 05 01:38:31 2025 heaviest cycle: 28 relations
  192. Mon May 05 01:39:03 2025 commencing cycle optimization
  193. Mon May 05 01:39:42 2025 start with 141912931 relations
  194. Mon May 05 01:47:36 2025 pruned 5824089 relations
  195. Mon May 05 01:47:36 2025 memory use: 3873.2 MB
  196. Mon May 05 01:47:36 2025 distribution of cycle lengths:
  197. Mon May 05 01:47:36 2025 1 relations: 1151171
  198. Mon May 05 01:47:36 2025 2 relations: 1300651
  199. Mon May 05 01:47:36 2025 3 relations: 1386616
  200. Mon May 05 01:47:36 2025 4 relations: 1370382
  201. Mon May 05 01:47:36 2025 5 relations: 1362578
  202. Mon May 05 01:47:36 2025 6 relations: 1331331
  203. Mon May 05 01:47:36 2025 7 relations: 1291248
  204. Mon May 05 01:47:36 2025 8 relations: 1222180
  205. Mon May 05 01:47:36 2025 9 relations: 1145216
  206. Mon May 05 01:47:36 2025 10+ relations: 5869558
  207. Mon May 05 01:47:36 2025 heaviest cycle: 28 relations
  208. Mon May 05 01:48:21 2025 RelProcTime: 17057
  209. Mon May 05 01:48:21 2025
  210. Mon May 05 01:48:21 2025 commencing linear algebra
  211. Mon May 05 01:48:25 2025 read 17430931 cycles
  212. Mon May 05 01:49:11 2025 cycles contain 57579687 unique relations
  213. Mon May 05 01:55:46 2025 read 57579687 relations
  214. Mon May 05 01:57:56 2025 using 20 quadratic characters above 4294917295
  215. Mon May 05 02:01:56 2025 building initial matrix
  216. Mon May 05 02:13:19 2025 memory use: 7153.8 MB
  217. Mon May 05 02:13:44 2025 read 17430931 cycles
  218. Mon May 05 02:13:47 2025 matrix is 17430753 x 17430931 (7631.8 MB) with weight 2164848337 (124.20/col)
  219. Mon May 05 02:13:47 2025 sparse part has weight 1808878232 (103.77/col)
  220. Mon May 05 02:19:32 2025 filtering completed in 2 passes
  221. Mon May 05 02:19:35 2025 matrix is 17429190 x 17429368 (7631.6 MB) with weight 2164791874 (124.20/col)
  222. Mon May 05 02:19:35 2025 sparse part has weight 1808853830 (103.78/col)
  223. Mon May 05 02:20:56 2025 matrix starts at (0, 0)
  224. Mon May 05 02:20:59 2025 matrix is 17429190 x 17429368 (7631.6 MB) with weight 2164791874 (124.20/col)
  225. Mon May 05 02:20:59 2025 sparse part has weight 1808853830 (103.78/col)
  226. Mon May 05 02:20:59 2025 saving the first 48 matrix rows for later
  227. Mon May 05 02:21:05 2025 matrix includes 64 packed rows
  228. Mon May 05 02:21:07 2025 matrix is 17429142 x 17429368 (7316.9 MB) with weight 1859204923 (106.67/col)
  229. Mon May 05 02:21:07 2025 sparse part has weight 1743795435 (100.05/col)
  230. Mon May 05 02:21:07 2025 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  231. Mon May 05 02:22:57 2025 commencing Lanczos iteration (24 threads)
  232. Mon May 05 02:22:57 2025 memory use: 6300.2 MB
  233. Mon May 05 02:23:31 2025 linear algebra at 0.0%, ETA 105h43m
  234. Mon May 05 02:23:42 2025 checkpointing every 170000 dimensions
  235. Fri May 09 10:02:26 2025 lanczos halted after 275625 iterations (dim = 17429141)
  236. Fri May 09 10:02:46 2025 recovered 38 nontrivial dependencies
  237. Fri May 09 10:03:00 2025 BLanczosTime: 375279
  238. Fri May 09 10:03:00 2025
  239. Fri May 09 10:03:00 2025 commencing square root phase
  240. Fri May 09 10:03:00 2025 handling dependencies 1 to 64
  241. Fri May 09 10:03:00 2025 reading relations for dependency 1
  242. Fri May 09 10:03:04 2025 read 8716936 cycles
  243. Fri May 09 10:03:22 2025 cycles contain 28796952 unique relations
  244. Fri May 09 10:07:21 2025 read 28796952 relations
  245. Fri May 09 10:09:58 2025 multiplying 28796952 relations
  246. Fri May 09 10:31:21 2025 multiply complete, coefficients have about 753.95 million bits
  247. Fri May 09 10:31:24 2025 initial square root is modulo 5808983
  248. Fri May 09 10:50:53 2025 GCD is 1, no factor found
  249. Fri May 09 10:50:53 2025 reading relations for dependency 2
  250. Fri May 09 10:50:57 2025 read 8718907 cycles
  251. Fri May 09 10:51:16 2025 cycles contain 28798718 unique relations
  252. Fri May 09 10:55:10 2025 read 28798718 relations
  253. Fri May 09 10:57:31 2025 multiplying 28798718 relations
  254. Fri May 09 11:16:48 2025 multiply complete, coefficients have about 754.00 million bits
  255. Fri May 09 11:16:52 2025 initial square root is modulo 5815211
  256. Fri May 09 11:36:09 2025 sqrtTime: 5589
  257. Fri May 09 11:36:09 2025 p101 factor: 68071891019454137515959669747518351003425547910590969020234216082905596179603366924815063981990894223
  258. Fri May 09 11:36:09 2025 p147 factor: 404934222086145602375313074157743241441572731045922268147165956972579246737550904088759417980218696987613239934236205671386563840016775577596537899
  259. Fri May 09 11:36:09 2025 elapsed time 110:32:07
  260.  
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