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Msieve log of C162_230916_6723

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Mar 18th, 2025
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  1. Mon Mar 17 21:23:13 2025
  2. Mon Mar 17 21:23:13 2025
  3. Mon Mar 17 21:23:13 2025 Msieve v. 1.53 (SVN 988)
  4. Mon Mar 17 21:23:13 2025 random seeds: d8ce9190 e6cefb10
  5. Mon Mar 17 21:23:13 2025 factoring 223261159644877430332027338463695251403626678162373537930102245562493541904636230381869438729819008424469768248110920616116443279321974623980149591815789511578891 (162 digits)
  6. Mon Mar 17 21:23:14 2025 searching for 15-digit factors
  7. Mon Mar 17 21:23:14 2025 commencing number field sieve (162-digit input)
  8. Mon Mar 17 21:23:14 2025 R0: -29270618327476782264829523780218
  9. Mon Mar 17 21:23:14 2025 R1: 770654318824739212708339
  10. Mon Mar 17 21:23:14 2025 A0: 19661250882870529702108042615158574665
  11. Mon Mar 17 21:23:14 2025 A1: 65249065581963138897890243539662
  12. Mon Mar 17 21:23:14 2025 A2: -3942867508028152924555545
  13. Mon Mar 17 21:23:14 2025 A3: -3524135571241866014
  14. Mon Mar 17 21:23:14 2025 A4: -404344202288
  15. Mon Mar 17 21:23:14 2025 A5: 23520
  16. Mon Mar 17 21:23:14 2025 skew 6775259.27, size 1.420e-015, alpha -6.487, combined = 1.434e-012 rroots = 3
  17. Mon Mar 17 21:23:14 2025
  18. Mon Mar 17 21:23:14 2025 commencing relation filtering
  19. Mon Mar 17 21:23:14 2025 setting target matrix density to 130.0
  20. Mon Mar 17 21:23:14 2025 estimated available RAM is 16151.1 MB
  21. Mon Mar 17 21:23:14 2025 commencing duplicate removal, pass 1
  22. Mon Mar 17 21:24:20 2025 error -9 reading relation 10164641
  23. Mon Mar 17 21:24:28 2025 error -9 reading relation 11306730
  24. Mon Mar 17 21:25:06 2025 error -1 reading relation 17177603
  25. Mon Mar 17 21:25:10 2025 error -15 reading relation 17719335
  26. Mon Mar 17 21:25:17 2025 error -15 reading relation 18745876
  27. Mon Mar 17 21:25:21 2025 error -9 reading relation 19431305
  28. Mon Mar 17 21:25:22 2025 error -15 reading relation 19623232
  29. Mon Mar 17 21:25:42 2025 error -15 reading relation 22639198
  30. Mon Mar 17 21:26:05 2025 error -15 reading relation 26277184
  31. Mon Mar 17 21:27:05 2025 error -15 reading relation 35504053
  32. Mon Mar 17 21:27:08 2025 error -9 reading relation 35925514
  33. Mon Mar 17 21:27:52 2025 error -1 reading relation 42838165
  34. Mon Mar 17 21:27:55 2025 error -9 reading relation 43269276
  35. Mon Mar 17 21:28:34 2025 error -9 reading relation 49389787
  36. Mon Mar 17 21:28:52 2025 error -1 reading relation 52021937
  37. Mon Mar 17 21:28:57 2025 error -15 reading relation 52799958
  38. Mon Mar 17 21:30:55 2025 error -15 reading relation 70257475
  39. Mon Mar 17 21:31:33 2025 error -15 reading relation 75924717
  40. Mon Mar 17 21:31:40 2025 error -9 reading relation 77007351
  41. Mon Mar 17 21:31:51 2025 error -9 reading relation 78509883
  42. Mon Mar 17 21:32:43 2025 error -9 reading relation 86533283
  43. Mon Mar 17 21:32:51 2025 error -9 reading relation 87672812
  44. Mon Mar 17 21:33:00 2025 error -9 reading relation 89052570
  45. Mon Mar 17 21:33:09 2025 error -15 reading relation 90348964
  46. Mon Mar 17 21:33:11 2025 error -15 reading relation 90769541
  47. Mon Mar 17 21:33:12 2025 error -15 reading relation 90921284
  48. Mon Mar 17 21:33:17 2025 error -15 reading relation 91631049
  49. Mon Mar 17 21:33:18 2025 error -15 reading relation 91791704
  50. Mon Mar 17 21:33:19 2025 error -15 reading relation 91925471
  51. Mon Mar 17 21:33:31 2025 error -9 reading relation 93709208
  52. Mon Mar 17 21:33:31 2025 error -9 reading relation 93773505
  53. Mon Mar 17 21:33:51 2025 error -9 reading relation 96601415
  54. Mon Mar 17 21:34:00 2025 error -9 reading relation 97950185
  55. Mon Mar 17 21:34:00 2025 error -15 reading relation 98013271
  56. Mon Mar 17 21:35:02 2025 error -5 reading relation 108060539
  57. Mon Mar 17 21:35:30 2025 error -9 reading relation 112552638
  58. Mon Mar 17 21:35:43 2025 error -15 reading relation 114590793
  59. Mon Mar 17 21:35:43 2025 error -15 reading relation 114596650
  60. Mon Mar 17 21:35:43 2025 error -15 reading relation 114604942
  61. Mon Mar 17 21:36:31 2025 error -15 reading relation 122091617
  62. Mon Mar 17 21:36:36 2025 error -1 reading relation 122841884
  63. Mon Mar 17 21:36:38 2025 error -9 reading relation 123155530
  64. Mon Mar 17 21:37:00 2025 error -15 reading relation 126701340
  65. Mon Mar 17 21:37:11 2025 error -15 reading relation 128355722
  66. Mon Mar 17 21:37:11 2025 error -15 reading relation 128356470
  67. Mon Mar 17 21:37:11 2025 error -5 reading relation 128389241
  68. Mon Mar 17 21:37:11 2025 error -5 reading relation 128407635
  69. Mon Mar 17 21:37:11 2025 error -15 reading relation 128440107
  70. Mon Mar 17 21:37:11 2025 error -15 reading relation 128446672
  71. Mon Mar 17 21:37:12 2025 error -1 reading relation 128489773
  72. Mon Mar 17 21:37:12 2025 error -1 reading relation 128489923
  73. Mon Mar 17 21:37:12 2025 error -15 reading relation 128490232
  74. Mon Mar 17 21:37:12 2025 error -15 reading relation 128490739
  75. Mon Mar 17 21:37:49 2025 skipped 28 relations with composite factors
  76. Mon Mar 17 21:37:49 2025 found 23194007 hash collisions in 134317853 relations
  77. Mon Mar 17 21:38:12 2025 added 121260 free relations
  78. Mon Mar 17 21:38:12 2025 commencing duplicate removal, pass 2
  79. Mon Mar 17 21:39:39 2025 found 23277974 duplicates and 111161139 unique relations
  80. Mon Mar 17 21:39:39 2025 memory use: 788.8 MB
  81. Mon Mar 17 21:39:40 2025 reading ideals above 89980928
  82. Mon Mar 17 21:39:40 2025 commencing singleton removal, initial pass
  83. Mon Mar 17 21:49:07 2025 memory use: 2756.0 MB
  84. Mon Mar 17 21:49:07 2025 reading all ideals from disk
  85. Mon Mar 17 21:49:11 2025 memory use: 1810.1 MB
  86. Mon Mar 17 21:49:17 2025 commencing in-memory singleton removal
  87. Mon Mar 17 21:49:23 2025 begin with 111161139 relations and 82793221 unique ideals
  88. Mon Mar 17 21:50:11 2025 reduce to 80039190 relations and 49066732 ideals in 11 passes
  89. Mon Mar 17 21:50:11 2025 max relations containing the same ideal: 45
  90. Mon Mar 17 21:50:17 2025 reading ideals above 720000
  91. Mon Mar 17 21:50:17 2025 commencing singleton removal, initial pass
  92. Mon Mar 17 21:59:41 2025 memory use: 1506.0 MB
  93. Mon Mar 17 21:59:42 2025 reading all ideals from disk
  94. Mon Mar 17 21:59:49 2025 memory use: 2983.7 MB
  95. Mon Mar 17 22:00:01 2025 keeping 59072163 ideals with weight <= 200, target excess is 421554
  96. Mon Mar 17 22:00:14 2025 commencing in-memory singleton removal
  97. Mon Mar 17 22:00:25 2025 begin with 80039191 relations and 59072163 unique ideals
  98. Mon Mar 17 22:01:27 2025 reduce to 80028455 relations and 59061425 ideals in 7 passes
  99. Mon Mar 17 22:01:27 2025 max relations containing the same ideal: 200
  100. Mon Mar 17 22:02:15 2025 removing 7952232 relations and 5952232 ideals in 2000000 cliques
  101. Mon Mar 17 22:02:18 2025 commencing in-memory singleton removal
  102. Mon Mar 17 22:02:28 2025 begin with 72076223 relations and 59061425 unique ideals
  103. Mon Mar 17 22:03:24 2025 reduce to 71459064 relations and 52473347 ideals in 7 passes
  104. Mon Mar 17 22:03:24 2025 max relations containing the same ideal: 194
  105. Mon Mar 17 22:04:08 2025 removing 6322409 relations and 4322409 ideals in 2000000 cliques
  106. Mon Mar 17 22:04:10 2025 commencing in-memory singleton removal
  107. Mon Mar 17 22:04:18 2025 begin with 65136655 relations and 52473347 unique ideals
  108. Mon Mar 17 22:05:10 2025 reduce to 64712611 relations and 47715236 ideals in 7 passes
  109. Mon Mar 17 22:05:10 2025 max relations containing the same ideal: 185
  110. Mon Mar 17 22:05:50 2025 removing 5889651 relations and 3889651 ideals in 2000000 cliques
  111. Mon Mar 17 22:05:52 2025 commencing in-memory singleton removal
  112. Mon Mar 17 22:06:00 2025 begin with 58822960 relations and 47715236 unique ideals
  113. Mon Mar 17 22:06:46 2025 reduce to 58448899 relations and 43440896 ideals in 7 passes
  114. Mon Mar 17 22:06:46 2025 max relations containing the same ideal: 172
  115. Mon Mar 17 22:07:21 2025 removing 5670585 relations and 3670585 ideals in 2000000 cliques
  116. Mon Mar 17 22:07:23 2025 commencing in-memory singleton removal
  117. Mon Mar 17 22:07:30 2025 begin with 52778314 relations and 43440896 unique ideals
  118. Mon Mar 17 22:08:08 2025 reduce to 52420293 relations and 39401560 ideals in 7 passes
  119. Mon Mar 17 22:08:08 2025 max relations containing the same ideal: 162
  120. Mon Mar 17 22:08:40 2025 removing 5533884 relations and 3533884 ideals in 2000000 cliques
  121. Mon Mar 17 22:08:42 2025 commencing in-memory singleton removal
  122. Mon Mar 17 22:08:48 2025 begin with 46886409 relations and 39401560 unique ideals
  123. Mon Mar 17 22:09:21 2025 reduce to 46528624 relations and 35498202 ideals in 7 passes
  124. Mon Mar 17 22:09:21 2025 max relations containing the same ideal: 149
  125. Mon Mar 17 22:09:48 2025 removing 5438724 relations and 3438724 ideals in 2000000 cliques
  126. Mon Mar 17 22:09:50 2025 commencing in-memory singleton removal
  127. Mon Mar 17 22:09:56 2025 begin with 41089900 relations and 35498202 unique ideals
  128. Mon Mar 17 22:10:27 2025 reduce to 40720426 relations and 31676436 ideals in 7 passes
  129. Mon Mar 17 22:10:27 2025 max relations containing the same ideal: 137
  130. Mon Mar 17 22:10:53 2025 removing 5374334 relations and 3374334 ideals in 2000000 cliques
  131. Mon Mar 17 22:10:54 2025 commencing in-memory singleton removal
  132. Mon Mar 17 22:10:59 2025 begin with 35346092 relations and 31676436 unique ideals
  133. Mon Mar 17 22:11:25 2025 reduce to 34948513 relations and 27888334 ideals in 7 passes
  134. Mon Mar 17 22:11:25 2025 max relations containing the same ideal: 124
  135. Mon Mar 17 22:11:47 2025 removing 5334612 relations and 3334612 ideals in 2000000 cliques
  136. Mon Mar 17 22:11:49 2025 commencing in-memory singleton removal
  137. Mon Mar 17 22:11:53 2025 begin with 29613901 relations and 27888334 unique ideals
  138. Mon Mar 17 22:12:15 2025 reduce to 29171813 relations and 24090974 ideals in 7 passes
  139. Mon Mar 17 22:12:15 2025 max relations containing the same ideal: 109
  140. Mon Mar 17 22:12:34 2025 removing 5302505 relations and 3302505 ideals in 2000000 cliques
  141. Mon Mar 17 22:12:35 2025 commencing in-memory singleton removal
  142. Mon Mar 17 22:12:38 2025 begin with 23869308 relations and 24090974 unique ideals
  143. Mon Mar 17 22:12:58 2025 reduce to 23361901 relations and 20252868 ideals in 8 passes
  144. Mon Mar 17 22:12:58 2025 max relations containing the same ideal: 96
  145. Mon Mar 17 22:13:12 2025 removing 5277899 relations and 3277899 ideals in 2000000 cliques
  146. Mon Mar 17 22:13:14 2025 commencing in-memory singleton removal
  147. Mon Mar 17 22:13:16 2025 begin with 18084002 relations and 20252868 unique ideals
  148. Mon Mar 17 22:13:29 2025 reduce to 17450398 relations and 16297486 ideals in 7 passes
  149. Mon Mar 17 22:13:29 2025 max relations containing the same ideal: 79
  150. Mon Mar 17 22:13:40 2025 removing 2108115 relations and 1444206 ideals in 663909 cliques
  151. Mon Mar 17 22:13:41 2025 commencing in-memory singleton removal
  152. Mon Mar 17 22:13:43 2025 begin with 15342283 relations and 16297486 unique ideals
  153. Mon Mar 17 22:13:52 2025 reduce to 15140552 relations and 14644479 ideals in 6 passes
  154. Mon Mar 17 22:13:52 2025 max relations containing the same ideal: 72
  155. Mon Mar 17 22:14:04 2025 relations with 0 large ideals: 1413
  156. Mon Mar 17 22:14:04 2025 relations with 1 large ideals: 6533
  157. Mon Mar 17 22:14:04 2025 relations with 2 large ideals: 93229
  158. Mon Mar 17 22:14:04 2025 relations with 3 large ideals: 576507
  159. Mon Mar 17 22:14:04 2025 relations with 4 large ideals: 1871335
  160. Mon Mar 17 22:14:04 2025 relations with 5 large ideals: 3538877
  161. Mon Mar 17 22:14:04 2025 relations with 6 large ideals: 4162668
  162. Mon Mar 17 22:14:04 2025 relations with 7+ large ideals: 4889990
  163. Mon Mar 17 22:14:04 2025 commencing 2-way merge
  164. Mon Mar 17 22:14:17 2025 reduce to 10378523 relation sets and 9882450 unique ideals
  165. Mon Mar 17 22:14:17 2025 commencing full merge
  166. Mon Mar 17 22:19:10 2025 memory use: 1277.8 MB
  167. Mon Mar 17 22:19:12 2025 found 4584199 cycles, need 4556650
  168. Mon Mar 17 22:19:13 2025 weight of 4556650 cycles is about 592839351 (130.10/cycle)
  169. Mon Mar 17 22:19:13 2025 distribution of cycle lengths:
  170. Mon Mar 17 22:19:13 2025 1 relations: 76419
  171. Mon Mar 17 22:19:13 2025 2 relations: 204012
  172. Mon Mar 17 22:19:13 2025 3 relations: 276357
  173. Mon Mar 17 22:19:13 2025 4 relations: 310793
  174. Mon Mar 17 22:19:13 2025 5 relations: 339627
  175. Mon Mar 17 22:19:13 2025 6 relations: 348415
  176. Mon Mar 17 22:19:13 2025 7 relations: 351605
  177. Mon Mar 17 22:19:13 2025 8 relations: 339682
  178. Mon Mar 17 22:19:13 2025 9 relations: 323229
  179. Mon Mar 17 22:19:13 2025 10+ relations: 1986511
  180. Mon Mar 17 22:19:13 2025 heaviest cycle: 28 relations
  181. Mon Mar 17 22:19:16 2025 commencing cycle optimization
  182. Mon Mar 17 22:19:27 2025 start with 43008703 relations
  183. Mon Mar 17 22:21:46 2025 pruned 2470912 relations
  184. Mon Mar 17 22:21:46 2025 memory use: 1071.1 MB
  185. Mon Mar 17 22:21:46 2025 distribution of cycle lengths:
  186. Mon Mar 17 22:21:46 2025 1 relations: 76419
  187. Mon Mar 17 22:21:46 2025 2 relations: 210665
  188. Mon Mar 17 22:21:46 2025 3 relations: 290758
  189. Mon Mar 17 22:21:46 2025 4 relations: 327763
  190. Mon Mar 17 22:21:46 2025 5 relations: 362432
  191. Mon Mar 17 22:21:46 2025 6 relations: 372052
  192. Mon Mar 17 22:21:46 2025 7 relations: 376874
  193. Mon Mar 17 22:21:46 2025 8 relations: 363464
  194. Mon Mar 17 22:21:46 2025 9 relations: 343680
  195. Mon Mar 17 22:21:46 2025 10+ relations: 1832543
  196. Mon Mar 17 22:21:46 2025 heaviest cycle: 28 relations
  197. Mon Mar 17 22:21:55 2025 RelProcTime: 3521
  198. Mon Mar 17 22:21:55 2025
  199. Mon Mar 17 22:21:55 2025 commencing linear algebra
  200. Mon Mar 17 22:21:56 2025 read 4556650 cycles
  201. Mon Mar 17 22:22:08 2025 cycles contain 14882750 unique relations
  202. Mon Mar 17 22:23:25 2025 read 14882750 relations
  203. Mon Mar 17 22:24:01 2025 using 20 quadratic characters above 4294917295
  204. Mon Mar 17 22:25:00 2025 building initial matrix
  205. Mon Mar 17 22:28:45 2025 memory use: 2031.7 MB
  206. Mon Mar 17 22:28:50 2025 read 4556650 cycles
  207. Mon Mar 17 22:28:51 2025 matrix is 4556473 x 4556650 (2258.2 MB) with weight 686715693 (150.71/col)
  208. Mon Mar 17 22:28:51 2025 sparse part has weight 541847269 (118.91/col)
  209. Mon Mar 17 22:29:54 2025 filtering completed in 2 passes
  210. Mon Mar 17 22:29:55 2025 matrix is 4556415 x 4556592 (2258.2 MB) with weight 686711757 (150.71/col)
  211. Mon Mar 17 22:29:55 2025 sparse part has weight 541845328 (118.91/col)
  212. Mon Mar 17 22:30:12 2025 matrix starts at (0, 0)
  213. Mon Mar 17 22:30:13 2025 matrix is 4556415 x 4556592 (2258.2 MB) with weight 686711757 (150.71/col)
  214. Mon Mar 17 22:30:13 2025 sparse part has weight 541845328 (118.91/col)
  215. Mon Mar 17 22:30:13 2025 saving the first 48 matrix rows for later
  216. Mon Mar 17 22:30:14 2025 matrix includes 64 packed rows
  217. Mon Mar 17 22:30:15 2025 matrix is 4556367 x 4556592 (2201.9 MB) with weight 588731904 (129.20/col)
  218. Mon Mar 17 22:30:15 2025 sparse part has weight 531657956 (116.68/col)
  219. Mon Mar 17 22:30:15 2025 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  220. Mon Mar 17 22:30:38 2025 commencing Lanczos iteration (8 threads)
  221. Mon Mar 17 22:30:38 2025 memory use: 1828.1 MB
  222. Mon Mar 17 22:30:59 2025 linear algebra at 0.0%, ETA 16h47m
  223. Mon Mar 17 22:31:05 2025 checkpointing every 280000 dimensions
  224. Tue Mar 18 14:05:10 2025 lanczos halted after 72057 iterations (dim = 4556366)
  225. Tue Mar 18 14:05:15 2025 recovered 28 nontrivial dependencies
  226. Tue Mar 18 14:05:16 2025 BLanczosTime: 56601
  227. Tue Mar 18 14:05:16 2025
  228. Tue Mar 18 14:05:16 2025 commencing square root phase
  229. Tue Mar 18 14:05:16 2025 handling dependencies 1 to 64
  230. Tue Mar 18 14:05:16 2025 reading relations for dependency 1
  231. Tue Mar 18 14:05:17 2025 read 2279292 cycles
  232. Tue Mar 18 14:05:23 2025 cycles contain 7441678 unique relations
  233. Tue Mar 18 14:06:23 2025 read 7441678 relations
  234. Tue Mar 18 14:07:07 2025 multiplying 7441678 relations
  235. Tue Mar 18 14:13:28 2025 multiply complete, coefficients have about 380.37 million bits
  236. Tue Mar 18 14:13:31 2025 initial square root is modulo 6684817
  237. Tue Mar 18 14:21:24 2025 GCD is N, no factor found
  238. Tue Mar 18 14:21:24 2025 reading relations for dependency 2
  239. Tue Mar 18 14:21:25 2025 read 2279653 cycles
  240. Tue Mar 18 14:21:31 2025 cycles contain 7443024 unique relations
  241. Tue Mar 18 14:22:31 2025 read 7443024 relations
  242. Tue Mar 18 14:23:11 2025 multiplying 7443024 relations
  243. Tue Mar 18 14:29:27 2025 multiply complete, coefficients have about 380.45 million bits
  244. Tue Mar 18 14:29:30 2025 initial square root is modulo 6705593
  245. Tue Mar 18 14:37:17 2025 GCD is N, no factor found
  246. Tue Mar 18 14:37:17 2025 reading relations for dependency 3
  247. Tue Mar 18 14:37:18 2025 read 2277643 cycles
  248. Tue Mar 18 14:37:24 2025 cycles contain 7438720 unique relations
  249. Tue Mar 18 14:38:17 2025 read 7438720 relations
  250. Tue Mar 18 14:39:01 2025 multiplying 7438720 relations
  251. Tue Mar 18 14:45:21 2025 multiply complete, coefficients have about 380.23 million bits
  252. Tue Mar 18 14:45:23 2025 initial square root is modulo 6646019
  253. Tue Mar 18 14:53:13 2025 sqrtTime: 2877
  254. Tue Mar 18 14:53:13 2025 p61 factor: 9880358798841259531666531889999640468239779135953595808591497
  255. Tue Mar 18 14:53:13 2025 p101 factor: 22596462759131871422748693514934711978642745749815269092095872306492113905307111336133736067326665203
  256. Tue Mar 18 14:53:13 2025 elapsed time 17:30:00
  257.  
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