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Msieve log of 5p3_501

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May 7th, 2025
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  1. Mon May 05 19:52:25 2025
  2. Mon May 05 19:52:25 2025
  3. Mon May 05 19:52:25 2025 Msieve v. 1.52 (SVN unknown)
  4. Mon May 05 19:52:25 2025 random seeds: 5665bacc d8962e79
  5. Mon May 05 19:52:25 2025 factoring 118543680571414893477609867601711288271668836566258457745512378304249500456957295176394977636770259352387357879547868517981994427037010188299066183502667980151852733917889857763289 (180 digits)
  6. Mon May 05 19:52:26 2025 no P-1/P+1/ECM available, skipping
  7. Mon May 05 19:52:26 2025 commencing number field sieve (180-digit input)
  8. Mon May 05 19:52:26 2025 R0: 1387778780781445675529539585113525390625
  9. Mon May 05 19:52:26 2025 R1: -523347633027360537213511521
  10. Mon May 05 19:52:26 2025 A0: 25
  11. Mon May 05 19:52:26 2025 A1: 0
  12. Mon May 05 19:52:26 2025 A2: 0
  13. Mon May 05 19:52:26 2025 A3: -15
  14. Mon May 05 19:52:26 2025 A4: 0
  15. Mon May 05 19:52:26 2025 A5: 0
  16. Mon May 05 19:52:26 2025 A6: 9
  17. Mon May 05 19:52:26 2025 skew 1.19, size 1.366e-011, alpha -0.329, combined = 8.017e-013 rroots = 0
  18. Mon May 05 19:52:26 2025
  19. Mon May 05 19:52:26 2025 commencing relation filtering
  20. Mon May 05 19:52:26 2025 setting target matrix density to 100.0
  21. Mon May 05 19:52:26 2025 estimated available RAM is 16289.0 MB
  22. Mon May 05 19:52:26 2025 commencing duplicate removal, pass 1
  23. Mon May 05 19:53:58 2025 error -15 reading relation 13203260
  24. Mon May 05 19:53:58 2025 error -15 reading relation 13226447
  25. Mon May 05 19:55:14 2025 error -15 reading relation 24110767
  26. Mon May 05 20:20:04 2025 error -1 reading relation 273524717
  27. Mon May 05 20:20:04 2025 error -9 reading relation 273526361
  28. Mon May 05 20:20:08 2025 error -15 reading relation 274264049
  29. Mon May 05 20:20:08 2025 error -9 reading relation 274282542
  30. Mon May 05 20:20:19 2025 error -9 reading relation 276477575
  31. Mon May 05 20:20:22 2025 skipped 32 relations with b > 2^32
  32. Mon May 05 20:20:22 2025 found 56868205 hash collisions in 276962549 relations
  33. Mon May 05 20:20:42 2025 added 812057 free relations
  34. Mon May 05 20:20:42 2025 commencing duplicate removal, pass 2
  35. Mon May 05 20:28:17 2025 found 55159442 duplicates and 222615164 unique relations
  36. Mon May 05 20:28:17 2025 memory use: 1449.5 MB
  37. Mon May 05 20:28:17 2025 reading ideals above 139919360
  38. Mon May 05 20:28:17 2025 commencing singleton removal, initial pass
  39. Mon May 05 20:57:52 2025 memory use: 3012.0 MB
  40. Mon May 05 20:57:52 2025 reading all ideals from disk
  41. Mon May 05 20:57:54 2025 memory use: 3556.5 MB
  42. Mon May 05 20:58:01 2025 commencing in-memory singleton removal
  43. Mon May 05 20:58:07 2025 begin with 222615164 relations and 153106902 unique ideals
  44. Mon May 05 20:59:20 2025 reduce to 163927987 relations and 90481607 ideals in 12 passes
  45. Mon May 05 20:59:20 2025 max relations containing the same ideal: 47
  46. Mon May 05 20:59:31 2025 reading ideals above 720000
  47. Mon May 05 20:59:32 2025 commencing singleton removal, initial pass
  48. Mon May 05 21:28:28 2025 memory use: 2756.0 MB
  49. Mon May 05 21:28:28 2025 reading all ideals from disk
  50. Mon May 05 21:29:56 2025 memory use: 6240.6 MB
  51. Mon May 05 21:30:12 2025 keeping 105420947 ideals with weight <= 200, target excess is 874373
  52. Mon May 05 21:30:30 2025 commencing in-memory singleton removal
  53. Mon May 05 21:30:42 2025 begin with 163927988 relations and 105420947 unique ideals
  54. Mon May 05 21:31:44 2025 reduce to 163927292 relations and 105420250 ideals in 5 passes
  55. Mon May 05 21:31:44 2025 max relations containing the same ideal: 200
  56. Mon May 05 21:32:41 2025 removing 7363062 relations and 5363062 ideals in 2000000 cliques
  57. Mon May 05 21:32:44 2025 commencing in-memory singleton removal
  58. Mon May 05 21:32:55 2025 begin with 156564230 relations and 105420250 unique ideals
  59. Mon May 05 21:34:18 2025 reduce to 156289368 relations and 99777888 ideals in 7 passes
  60. Mon May 05 21:34:18 2025 max relations containing the same ideal: 200
  61. Mon May 05 21:35:14 2025 removing 5952775 relations and 3952775 ideals in 2000000 cliques
  62. Mon May 05 21:35:17 2025 commencing in-memory singleton removal
  63. Mon May 05 21:35:27 2025 begin with 150336593 relations and 99777888 unique ideals
  64. Mon May 05 21:36:36 2025 reduce to 150151941 relations and 95637955 ideals in 6 passes
  65. Mon May 05 21:36:36 2025 max relations containing the same ideal: 199
  66. Mon May 05 21:37:29 2025 removing 5577885 relations and 3577885 ideals in 2000000 cliques
  67. Mon May 05 21:37:31 2025 commencing in-memory singleton removal
  68. Mon May 05 21:37:41 2025 begin with 144574056 relations and 95637955 unique ideals
  69. Mon May 05 21:38:46 2025 reduce to 144419144 relations and 91902984 ideals in 6 passes
  70. Mon May 05 21:38:46 2025 max relations containing the same ideal: 194
  71. Mon May 05 21:39:37 2025 removing 5376073 relations and 3376073 ideals in 2000000 cliques
  72. Mon May 05 21:39:40 2025 commencing in-memory singleton removal
  73. Mon May 05 21:39:49 2025 begin with 139043071 relations and 91902984 unique ideals
  74. Mon May 05 21:40:42 2025 reduce to 138904760 relations and 88386648 ideals in 5 passes
  75. Mon May 05 21:40:42 2025 max relations containing the same ideal: 189
  76. Mon May 05 21:41:31 2025 removing 5237628 relations and 3237628 ideals in 2000000 cliques
  77. Mon May 05 21:41:34 2025 commencing in-memory singleton removal
  78. Mon May 05 21:41:43 2025 begin with 133667132 relations and 88386648 unique ideals
  79. Mon May 05 21:42:43 2025 reduce to 133539446 relations and 85019479 ideals in 6 passes
  80. Mon May 05 21:42:43 2025 max relations containing the same ideal: 185
  81. Mon May 05 21:43:31 2025 removing 5135017 relations and 3135017 ideals in 2000000 cliques
  82. Mon May 05 21:43:33 2025 commencing in-memory singleton removal
  83. Mon May 05 21:43:42 2025 begin with 128404429 relations and 85019479 unique ideals
  84. Mon May 05 21:44:40 2025 reduce to 128283435 relations and 81761666 ideals in 6 passes
  85. Mon May 05 21:44:40 2025 max relations containing the same ideal: 181
  86. Mon May 05 21:45:25 2025 removing 5058089 relations and 3058089 ideals in 2000000 cliques
  87. Mon May 05 21:45:27 2025 commencing in-memory singleton removal
  88. Mon May 05 21:45:35 2025 begin with 123225346 relations and 81761666 unique ideals
  89. Mon May 05 21:46:22 2025 reduce to 123108846 relations and 78585227 ideals in 5 passes
  90. Mon May 05 21:46:22 2025 max relations containing the same ideal: 176
  91. Mon May 05 21:47:05 2025 removing 4990639 relations and 2990639 ideals in 2000000 cliques
  92. Mon May 05 21:47:07 2025 commencing in-memory singleton removal
  93. Mon May 05 21:47:15 2025 begin with 118118207 relations and 78585227 unique ideals
  94. Mon May 05 21:47:59 2025 reduce to 118005063 relations and 75479517 ideals in 5 passes
  95. Mon May 05 21:47:59 2025 max relations containing the same ideal: 172
  96. Mon May 05 21:48:41 2025 removing 4937224 relations and 2937224 ideals in 2000000 cliques
  97. Mon May 05 21:48:43 2025 commencing in-memory singleton removal
  98. Mon May 05 21:48:50 2025 begin with 113067839 relations and 75479517 unique ideals
  99. Mon May 05 21:49:32 2025 reduce to 112956429 relations and 72428965 ideals in 5 passes
  100. Mon May 05 21:49:32 2025 max relations containing the same ideal: 166
  101. Mon May 05 21:50:15 2025 removing 4890660 relations and 2890660 ideals in 2000000 cliques
  102. Mon May 05 21:50:17 2025 commencing in-memory singleton removal
  103. Mon May 05 21:50:25 2025 begin with 108065769 relations and 72428965 unique ideals
  104. Mon May 05 21:51:05 2025 reduce to 107955607 relations and 69426240 ideals in 5 passes
  105. Mon May 05 21:51:05 2025 max relations containing the same ideal: 161
  106. Mon May 05 21:51:44 2025 removing 4845926 relations and 2845926 ideals in 2000000 cliques
  107. Mon May 05 21:51:46 2025 commencing in-memory singleton removal
  108. Mon May 05 21:51:53 2025 begin with 103109681 relations and 69426240 unique ideals
  109. Mon May 05 21:52:31 2025 reduce to 102999992 relations and 66468597 ideals in 5 passes
  110. Mon May 05 21:52:31 2025 max relations containing the same ideal: 157
  111. Mon May 05 21:53:08 2025 removing 4808922 relations and 2808922 ideals in 2000000 cliques
  112. Mon May 05 21:53:10 2025 commencing in-memory singleton removal
  113. Mon May 05 21:53:16 2025 begin with 98191070 relations and 66468597 unique ideals
  114. Mon May 05 21:53:59 2025 reduce to 98081279 relations and 63547760 ideals in 6 passes
  115. Mon May 05 21:53:59 2025 max relations containing the same ideal: 153
  116. Mon May 05 21:54:35 2025 removing 4776711 relations and 2776711 ideals in 2000000 cliques
  117. Mon May 05 21:54:37 2025 commencing in-memory singleton removal
  118. Mon May 05 21:54:43 2025 begin with 93304568 relations and 63547760 unique ideals
  119. Mon May 05 21:55:17 2025 reduce to 93193791 relations and 60658163 ideals in 5 passes
  120. Mon May 05 21:55:17 2025 max relations containing the same ideal: 147
  121. Mon May 05 21:55:50 2025 removing 4745183 relations and 2745183 ideals in 2000000 cliques
  122. Mon May 05 21:55:52 2025 commencing in-memory singleton removal
  123. Mon May 05 21:55:58 2025 begin with 88448608 relations and 60658163 unique ideals
  124. Mon May 05 21:56:30 2025 reduce to 88336401 relations and 57798450 ideals in 5 passes
  125. Mon May 05 21:56:30 2025 max relations containing the same ideal: 142
  126. Mon May 05 21:57:02 2025 removing 4717568 relations and 2717568 ideals in 2000000 cliques
  127. Mon May 05 21:57:04 2025 commencing in-memory singleton removal
  128. Mon May 05 21:57:09 2025 begin with 83618833 relations and 57798450 unique ideals
  129. Mon May 05 21:57:39 2025 reduce to 83505259 relations and 54964877 ideals in 5 passes
  130. Mon May 05 21:57:39 2025 max relations containing the same ideal: 138
  131. Mon May 05 21:58:09 2025 removing 4692394 relations and 2692394 ideals in 2000000 cliques
  132. Mon May 05 21:58:11 2025 commencing in-memory singleton removal
  133. Mon May 05 21:58:16 2025 begin with 78812865 relations and 54964877 unique ideals
  134. Mon May 05 21:58:44 2025 reduce to 78696887 relations and 52153962 ideals in 5 passes
  135. Mon May 05 21:58:44 2025 max relations containing the same ideal: 133
  136. Mon May 05 21:59:12 2025 removing 4670566 relations and 2670566 ideals in 2000000 cliques
  137. Mon May 05 21:59:13 2025 commencing in-memory singleton removal
  138. Mon May 05 21:59:18 2025 begin with 74026321 relations and 52153962 unique ideals
  139. Mon May 05 21:59:45 2025 reduce to 73907374 relations and 49361861 ideals in 5 passes
  140. Mon May 05 21:59:45 2025 max relations containing the same ideal: 125
  141. Mon May 05 22:00:11 2025 removing 4649016 relations and 2649016 ideals in 2000000 cliques
  142. Mon May 05 22:00:13 2025 commencing in-memory singleton removal
  143. Mon May 05 22:00:17 2025 begin with 69258358 relations and 49361861 unique ideals
  144. Mon May 05 22:00:42 2025 reduce to 69135440 relations and 46587005 ideals in 5 passes
  145. Mon May 05 22:00:42 2025 max relations containing the same ideal: 120
  146. Mon May 05 22:01:06 2025 removing 4628739 relations and 2628739 ideals in 2000000 cliques
  147. Mon May 05 22:01:08 2025 commencing in-memory singleton removal
  148. Mon May 05 22:01:12 2025 begin with 64506701 relations and 46587005 unique ideals
  149. Mon May 05 22:01:34 2025 reduce to 64380632 relations and 43829107 ideals in 5 passes
  150. Mon May 05 22:01:34 2025 max relations containing the same ideal: 116
  151. Mon May 05 22:01:57 2025 removing 4610381 relations and 2610381 ideals in 2000000 cliques
  152. Mon May 05 22:01:58 2025 commencing in-memory singleton removal
  153. Mon May 05 22:02:02 2025 begin with 59770251 relations and 43829107 unique ideals
  154. Mon May 05 22:02:23 2025 reduce to 59638473 relations and 41083636 ideals in 5 passes
  155. Mon May 05 22:02:23 2025 max relations containing the same ideal: 111
  156. Mon May 05 22:02:44 2025 removing 4593417 relations and 2593417 ideals in 2000000 cliques
  157. Mon May 05 22:02:45 2025 commencing in-memory singleton removal
  158. Mon May 05 22:02:48 2025 begin with 55045056 relations and 41083636 unique ideals
  159. Mon May 05 22:03:07 2025 reduce to 54906315 relations and 38347828 ideals in 5 passes
  160. Mon May 05 22:03:07 2025 max relations containing the same ideal: 103
  161. Mon May 05 22:03:27 2025 removing 4576489 relations and 2576489 ideals in 2000000 cliques
  162. Mon May 05 22:03:28 2025 commencing in-memory singleton removal
  163. Mon May 05 22:03:31 2025 begin with 50329826 relations and 38347828 unique ideals
  164. Mon May 05 22:03:52 2025 reduce to 50183645 relations and 35621058 ideals in 6 passes
  165. Mon May 05 22:03:52 2025 max relations containing the same ideal: 95
  166. Mon May 05 22:04:09 2025 removing 4559238 relations and 2559238 ideals in 2000000 cliques
  167. Mon May 05 22:04:10 2025 commencing in-memory singleton removal
  168. Mon May 05 22:04:13 2025 begin with 45624407 relations and 35621058 unique ideals
  169. Mon May 05 22:04:29 2025 reduce to 45468224 relations and 32901003 ideals in 5 passes
  170. Mon May 05 22:04:29 2025 max relations containing the same ideal: 92
  171. Mon May 05 22:04:44 2025 removing 4544994 relations and 2544994 ideals in 2000000 cliques
  172. Mon May 05 22:04:46 2025 commencing in-memory singleton removal
  173. Mon May 05 22:04:48 2025 begin with 40923230 relations and 32901003 unique ideals
  174. Mon May 05 22:05:02 2025 reduce to 40752919 relations and 30180367 ideals in 5 passes
  175. Mon May 05 22:05:02 2025 max relations containing the same ideal: 86
  176. Mon May 05 22:05:16 2025 removing 4531962 relations and 2531962 ideals in 2000000 cliques
  177. Mon May 05 22:05:17 2025 commencing in-memory singleton removal
  178. Mon May 05 22:05:19 2025 begin with 36220957 relations and 30180367 unique ideals
  179. Mon May 05 22:05:31 2025 reduce to 36031848 relations and 27452968 ideals in 5 passes
  180. Mon May 05 22:05:31 2025 max relations containing the same ideal: 78
  181. Mon May 05 22:05:44 2025 removing 4522841 relations and 2522841 ideals in 2000000 cliques
  182. Mon May 05 22:05:45 2025 commencing in-memory singleton removal
  183. Mon May 05 22:05:47 2025 begin with 31509007 relations and 27452968 unique ideals
  184. Mon May 05 22:05:59 2025 reduce to 31292551 relations and 24705331 ideals in 6 passes
  185. Mon May 05 22:05:59 2025 max relations containing the same ideal: 73
  186. Mon May 05 22:06:10 2025 removing 4523289 relations and 2523289 ideals in 2000000 cliques
  187. Mon May 05 22:06:11 2025 commencing in-memory singleton removal
  188. Mon May 05 22:06:13 2025 begin with 26769262 relations and 24705331 unique ideals
  189. Mon May 05 22:06:25 2025 reduce to 26505394 relations and 21906572 ideals in 7 passes
  190. Mon May 05 22:06:25 2025 max relations containing the same ideal: 64
  191. Mon May 05 22:06:34 2025 removing 4545483 relations and 2545483 ideals in 2000000 cliques
  192. Mon May 05 22:06:35 2025 commencing in-memory singleton removal
  193. Mon May 05 22:06:36 2025 begin with 21959911 relations and 21906572 unique ideals
  194. Mon May 05 22:06:45 2025 reduce to 21611146 relations and 18994222 ideals in 6 passes
  195. Mon May 05 22:06:45 2025 max relations containing the same ideal: 55
  196. Mon May 05 22:06:52 2025 removing 3764359 relations and 2161708 ideals in 1602651 cliques
  197. Mon May 05 22:06:53 2025 commencing in-memory singleton removal
  198. Mon May 05 22:06:54 2025 begin with 17846787 relations and 18994222 unique ideals
  199. Mon May 05 22:07:02 2025 reduce to 17430902 relations and 16392458 ideals in 7 passes
  200. Mon May 05 22:07:02 2025 max relations containing the same ideal: 47
  201. Mon May 05 22:07:09 2025 removing 117167 relations and 92996 ideals in 24171 cliques
  202. Mon May 05 22:07:09 2025 commencing in-memory singleton removal
  203. Mon May 05 22:07:10 2025 begin with 17313735 relations and 16392458 unique ideals
  204. Mon May 05 22:07:14 2025 reduce to 17312677 relations and 16298402 ideals in 4 passes
  205. Mon May 05 22:07:14 2025 max relations containing the same ideal: 46
  206. Mon May 05 22:07:17 2025 relations with 0 large ideals: 21796
  207. Mon May 05 22:07:17 2025 relations with 1 large ideals: 40110
  208. Mon May 05 22:07:17 2025 relations with 2 large ideals: 417247
  209. Mon May 05 22:07:17 2025 relations with 3 large ideals: 1747188
  210. Mon May 05 22:07:17 2025 relations with 4 large ideals: 3734534
  211. Mon May 05 22:07:17 2025 relations with 5 large ideals: 4690356
  212. Mon May 05 22:07:17 2025 relations with 6 large ideals: 3729585
  213. Mon May 05 22:07:17 2025 relations with 7+ large ideals: 2931861
  214. Mon May 05 22:07:17 2025 commencing 2-way merge
  215. Mon May 05 22:07:26 2025 reduce to 13226331 relation sets and 12212056 unique ideals
  216. Mon May 05 22:07:26 2025 commencing full merge
  217. Mon May 05 22:11:11 2025 memory use: 1379.4 MB
  218. Mon May 05 22:11:13 2025 found 6001081 cycles, need 5880256
  219. Mon May 05 22:11:14 2025 weight of 5880256 cycles is about 588647087 (100.11/cycle)
  220. Mon May 05 22:11:14 2025 distribution of cycle lengths:
  221. Mon May 05 22:11:14 2025 1 relations: 163135
  222. Mon May 05 22:11:14 2025 2 relations: 372107
  223. Mon May 05 22:11:14 2025 3 relations: 520038
  224. Mon May 05 22:11:14 2025 4 relations: 584296
  225. Mon May 05 22:11:14 2025 5 relations: 615374
  226. Mon May 05 22:11:14 2025 6 relations: 591423
  227. Mon May 05 22:11:14 2025 7 relations: 541206
  228. Mon May 05 22:11:14 2025 8 relations: 473920
  229. Mon May 05 22:11:14 2025 9 relations: 405010
  230. Mon May 05 22:11:14 2025 10+ relations: 1613747
  231. Mon May 05 22:11:14 2025 heaviest cycle: 24 relations
  232. Mon May 05 22:11:17 2025 commencing cycle optimization
  233. Mon May 05 22:11:26 2025 start with 43744737 relations
  234. Mon May 05 22:13:06 2025 pruned 2506095 relations
  235. Mon May 05 22:13:06 2025 memory use: 1168.0 MB
  236. Mon May 05 22:13:06 2025 distribution of cycle lengths:
  237. Mon May 05 22:13:06 2025 1 relations: 163135
  238. Mon May 05 22:13:06 2025 2 relations: 385478
  239. Mon May 05 22:13:06 2025 3 relations: 550441
  240. Mon May 05 22:13:06 2025 4 relations: 621439
  241. Mon May 05 22:13:06 2025 5 relations: 662836
  242. Mon May 05 22:13:06 2025 6 relations: 632691
  243. Mon May 05 22:13:06 2025 7 relations: 577343
  244. Mon May 05 22:13:06 2025 8 relations: 494778
  245. Mon May 05 22:13:06 2025 9 relations: 413414
  246. Mon May 05 22:13:06 2025 10+ relations: 1378701
  247. Mon May 05 22:13:06 2025 heaviest cycle: 24 relations
  248. Mon May 05 22:13:14 2025 RelProcTime: 8448
  249. Mon May 05 22:13:14 2025
  250. Mon May 05 22:13:14 2025 commencing linear algebra
  251. Mon May 05 22:13:15 2025 read 5880256 cycles
  252. Mon May 05 22:13:25 2025 cycles contain 16909031 unique relations
  253. Mon May 05 22:22:42 2025 read 16909031 relations
  254. Mon May 05 22:23:06 2025 using 20 quadratic characters above 2147452034
  255. Mon May 05 22:24:15 2025 building initial matrix
  256. Mon May 05 22:27:36 2025 memory use: 2218.9 MB
  257. Mon May 05 22:28:32 2025 read 5880256 cycles
  258. Mon May 05 22:28:34 2025 matrix is 5880076 x 5880256 (2318.3 MB) with weight 680755620 (115.77/col)
  259. Mon May 05 22:28:34 2025 sparse part has weight 543044498 (92.35/col)
  260. Mon May 05 22:29:29 2025 filtering completed in 2 passes
  261. Mon May 05 22:29:31 2025 matrix is 5878946 x 5879126 (2318.1 MB) with weight 680700985 (115.78/col)
  262. Mon May 05 22:29:31 2025 sparse part has weight 543016951 (92.36/col)
  263. Mon May 05 22:30:25 2025 matrix starts at (0, 0)
  264. Mon May 05 22:30:27 2025 matrix is 5878946 x 5879126 (2318.1 MB) with weight 680700985 (115.78/col)
  265. Mon May 05 22:30:27 2025 sparse part has weight 543016951 (92.36/col)
  266. Mon May 05 22:30:27 2025 saving the first 48 matrix rows for later
  267. Mon May 05 22:30:29 2025 matrix includes 64 packed rows
  268. Mon May 05 22:30:30 2025 matrix is 5878898 x 5879126 (2224.7 MB) with weight 571673650 (97.24/col)
  269. Mon May 05 22:30:30 2025 sparse part has weight 524401308 (89.20/col)
  270. Mon May 05 22:30:30 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  271. Mon May 05 22:30:55 2025 commencing Lanczos iteration (4 threads)
  272. Mon May 05 22:30:55 2025 memory use: 1862.1 MB
  273. Mon May 05 22:31:31 2025 linear algebra at 0.0%, ETA 36h28m
  274. Mon May 05 22:31:43 2025 checkpointing every 160000 dimensions
  275. Wed May 07 10:53:35 2025 lanczos halted after 92974 iterations (dim = 5878895)
  276. Wed May 07 10:53:41 2025 recovered 39 nontrivial dependencies
  277. Wed May 07 10:53:43 2025 BLanczosTime: 132029
  278. Wed May 07 10:53:43 2025
  279. Wed May 07 10:53:43 2025 commencing square root phase
  280. Wed May 07 10:53:43 2025 handling dependencies 1 to 64
  281. Wed May 07 10:53:43 2025 reading relations for dependency 1
  282. Wed May 07 10:53:44 2025 read 2940827 cycles
  283. Wed May 07 10:53:49 2025 cycles contain 8456794 unique relations
  284. Wed May 07 11:02:42 2025 read 8456794 relations
  285. Wed May 07 11:03:27 2025 multiplying 8456794 relations
  286. Wed May 07 11:09:49 2025 multiply complete, coefficients have about 237.11 million bits
  287. Wed May 07 11:09:52 2025 initial square root is modulo 323024441
  288. Wed May 07 11:17:42 2025 GCD is N, no factor found
  289. Wed May 07 11:17:42 2025 reading relations for dependency 2
  290. Wed May 07 11:18:00 2025 read 2939599 cycles
  291. Wed May 07 11:18:04 2025 cycles contain 8453222 unique relations
  292. Wed May 07 11:26:53 2025 read 8453222 relations
  293. Wed May 07 11:27:38 2025 multiplying 8453222 relations
  294. Wed May 07 11:34:01 2025 multiply complete, coefficients have about 237.01 million bits
  295. Wed May 07 11:34:04 2025 initial square root is modulo 320255597
  296. Wed May 07 11:41:58 2025 sqrtTime: 2895
  297. Wed May 07 12:44:20 2025
  298. Wed May 07 12:44:20 2025
  299. Wed May 07 12:44:20 2025 Msieve v. 1.52 (SVN unknown)
  300. Wed May 07 12:44:20 2025 random seeds: b070a664 179e992e
  301. Wed May 07 12:44:20 2025 factoring 118543680571414893477609867601711288271668836566258457745512378304249500456957295176394977636770259352387357879547868517981994427037010188299066183502667980151852733917889857763289 (180 digits)
  302. Wed May 07 12:44:21 2025 no P-1/P+1/ECM available, skipping
  303. Wed May 07 12:44:21 2025 commencing number field sieve (180-digit input)
  304. Wed May 07 12:44:21 2025 R0: 1387778780781445675529539585113525390625
  305. Wed May 07 12:44:21 2025 R1: -523347633027360537213511521
  306. Wed May 07 12:44:21 2025 A0: 25
  307. Wed May 07 12:44:21 2025 A1: 0
  308. Wed May 07 12:44:21 2025 A2: 0
  309. Wed May 07 12:44:21 2025 A3: -15
  310. Wed May 07 12:44:21 2025 A4: 0
  311. Wed May 07 12:44:21 2025 A5: 0
  312. Wed May 07 12:44:21 2025 A6: 9
  313. Wed May 07 12:44:21 2025 skew 1.19, size 1.366e-011, alpha -0.329, combined = 8.017e-013 rroots = 0
  314. Wed May 07 12:44:21 2025
  315. Wed May 07 12:44:21 2025 commencing linear algebra
  316. Wed May 07 12:46:15 2025 matrix starts at (0, 0)
  317. Wed May 07 12:46:17 2025 matrix is 5878946 x 5879126 (2318.1 MB) with weight 680700985 (115.78/col)
  318. Wed May 07 12:46:17 2025 sparse part has weight 543016951 (92.36/col)
  319. Wed May 07 12:46:17 2025 saving the first 48 matrix rows for later
  320. Wed May 07 12:46:19 2025 matrix includes 64 packed rows
  321. Wed May 07 12:46:20 2025 matrix is 5878898 x 5879126 (2224.7 MB) with weight 571673650 (97.24/col)
  322. Wed May 07 12:46:20 2025 sparse part has weight 524401308 (89.20/col)
  323. Wed May 07 12:46:20 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  324. Wed May 07 12:46:46 2025 commencing Lanczos iteration
  325. Wed May 07 12:46:46 2025 memory use: 1862.1 MB
  326. Wed May 07 12:46:50 2025 restarting at iteration 91093 (dim = 5760041)
  327. Wed May 07 12:47:53 2025 linear algebra at 98.0%, ETA 1h21m
  328. Wed May 07 12:48:14 2025 checkpointing every 90000 dimensions
  329. Wed May 07 14:01:24 2025 lanczos halted after 92974 iterations (dim = 5878895)
  330. Wed May 07 14:01:31 2025 recovered 39 nontrivial dependencies
  331. Wed May 07 14:01:32 2025 BLanczosTime: 4631
  332. Wed May 07 14:01:32 2025 elapsed time 01:17:12
  333. Wed May 07 14:25:20 2025
  334. Wed May 07 14:25:20 2025
  335. Wed May 07 14:25:20 2025 Msieve v. 1.52 (SVN unknown)
  336. Wed May 07 14:25:20 2025 random seeds: 3c0b4540 9ec7b3da
  337. Wed May 07 14:25:20 2025 factoring 118543680571414893477609867601711288271668836566258457745512378304249500456957295176394977636770259352387357879547868517981994427037010188299066183502667980151852733917889857763289 (180 digits)
  338. Wed May 07 14:25:21 2025 no P-1/P+1/ECM available, skipping
  339. Wed May 07 14:25:21 2025 commencing number field sieve (180-digit input)
  340. Wed May 07 14:25:21 2025 R0: 1387778780781445675529539585113525390625
  341. Wed May 07 14:25:21 2025 R1: -523347633027360537213511521
  342. Wed May 07 14:25:21 2025 A0: 25
  343. Wed May 07 14:25:21 2025 A1: 0
  344. Wed May 07 14:25:21 2025 A2: 0
  345. Wed May 07 14:25:21 2025 A3: -15
  346. Wed May 07 14:25:21 2025 A4: 0
  347. Wed May 07 14:25:21 2025 A5: 0
  348. Wed May 07 14:25:21 2025 A6: 9
  349. Wed May 07 14:25:21 2025 skew 1.19, size 1.366e-011, alpha -0.329, combined = 8.017e-013 rroots = 0
  350. Wed May 07 14:25:21 2025
  351. Wed May 07 14:25:21 2025 commencing square root phase
  352. Wed May 07 14:25:21 2025 reading relations for dependency 1
  353. Wed May 07 14:25:23 2025 read 2940827 cycles
  354. Wed May 07 14:25:27 2025 cycles contain 8456794 unique relations
  355. Wed May 07 14:35:11 2025 read 8456794 relations
  356. Wed May 07 14:35:58 2025 multiplying 8456794 relations
  357. Wed May 07 14:42:16 2025 multiply complete, coefficients have about 237.11 million bits
  358. Wed May 07 14:42:18 2025 initial square root is modulo 323024441
  359. Wed May 07 14:50:06 2025 GCD is N, no factor found
  360. Wed May 07 14:50:06 2025 reading relations for dependency 2
  361. Wed May 07 14:50:13 2025 read 2939599 cycles
  362. Wed May 07 14:50:18 2025 cycles contain 8453222 unique relations
  363. Wed May 07 14:59:03 2025 read 8453222 relations
  364. Wed May 07 14:59:47 2025 multiplying 8453222 relations
  365. Wed May 07 15:06:05 2025 multiply complete, coefficients have about 237.01 million bits
  366. Wed May 07 15:06:08 2025 initial square root is modulo 320255597
  367. Wed May 07 15:13:54 2025 sqrtTime: 2913
  368. Wed May 07 15:13:54 2025 prp75 factor: 867233555256193370642421127216062859862037392814198622034056726629843260209
  369. Wed May 07 15:13:54 2025 prp105 factor: 136691759506924718648008968439177232159058410312501081820024167551275889871139582068872456975263310542121
  370. Wed May 07 15:13:54 2025 elapsed time 00:48:34
  371.  
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