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  1. Thu Mar 20 18:47:45 2025
  2. Thu Mar 20 18:47:45 2025
  3. Thu Mar 20 18:47:45 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Mar 20 18:47:45 2025 random seeds: bcf54a7c 9be9736f
  5. Thu Mar 20 18:47:45 2025 MPI process 0 of 1
  6. Thu Mar 20 18:47:45 2025 Using 8 OpenMP threads
  7. Thu Mar 20 18:47:45 2025 factoring 225934286502823373318186600648176850239654720613833370628332229903109233142289930289791424432841358599213516842038247670752446795961637405886199227184757568403297153728208724037864317575953821731274369089896687 (210 digits)
  8. Thu Mar 20 18:47:45 2025 searching for 15-digit factors
  9. Thu Mar 20 18:47:45 2025 commencing number field sieve (210-digit input)
  10. Thu Mar 20 18:47:45 2025 R0: 1000000000000000000000000000000000000000000000
  11. Thu Mar 20 18:47:45 2025 R1: -1
  12. Thu Mar 20 18:47:45 2025 A0: 719
  13. Thu Mar 20 18:47:45 2025 A1: 0
  14. Thu Mar 20 18:47:45 2025 A2: 0
  15. Thu Mar 20 18:47:45 2025 A3: 0
  16. Thu Mar 20 18:47:45 2025 A4: 0
  17. Thu Mar 20 18:47:45 2025 A5: 10
  18. Thu Mar 20 18:47:45 2025 skew 1.00, size 6.794e-16, alpha 1.514, combined = 7.883e-13 rroots = 1
  19. Thu Mar 20 18:47:45 2025
  20. Thu Mar 20 18:47:45 2025 commencing relation filtering
  21. Thu Mar 20 18:47:45 2025 setting target matrix density to 140.0
  22. Thu Mar 20 18:47:45 2025 estimated available RAM is 64046.9 MB
  23. Thu Mar 20 18:47:45 2025 commencing duplicate removal, pass 1
  24. Thu Mar 20 18:50:06 2025 skipped 11 relations with b > 2^32
  25. Thu Mar 20 18:50:06 2025 found 5176621 hash collisions in 152589334 relations
  26. Thu Mar 20 18:50:23 2025 added 731566 free relations
  27. Thu Mar 20 18:50:23 2025 commencing duplicate removal, pass 2
  28. Thu Mar 20 18:50:52 2025 found 0 duplicates and 153320900 unique relations
  29. Thu Mar 20 18:50:52 2025 memory use: 522.4 MB
  30. Thu Mar 20 18:50:52 2025 reading ideals above 720000
  31. Thu Mar 20 18:50:52 2025 commencing singleton removal, initial pass
  32. Thu Mar 20 18:56:07 2025 memory use: 3012.0 MB
  33. Thu Mar 20 18:56:07 2025 reading all ideals from disk
  34. Thu Mar 20 18:56:09 2025 memory use: 7021.8 MB
  35. Thu Mar 20 18:56:17 2025 keeping 123217259 ideals with weight <= 200, target excess is 764632
  36. Thu Mar 20 18:56:29 2025 commencing in-memory singleton removal
  37. Thu Mar 20 18:56:34 2025 begin with 153320900 relations and 123217259 unique ideals
  38. Thu Mar 20 18:57:05 2025 reduce to 141483280 relations and 111253364 ideals in 14 passes
  39. Thu Mar 20 18:57:05 2025 max relations containing the same ideal: 197
  40. Thu Mar 20 18:57:43 2025 removing 11160883 relations and 9160883 ideals in 2000000 cliques
  41. Thu Mar 20 18:57:46 2025 commencing in-memory singleton removal
  42. Thu Mar 20 18:57:50 2025 begin with 130322397 relations and 111253364 unique ideals
  43. Thu Mar 20 18:58:05 2025 reduce to 129673943 relations and 101432063 ideals in 7 passes
  44. Thu Mar 20 18:58:05 2025 max relations containing the same ideal: 189
  45. Thu Mar 20 18:58:36 2025 removing 8492294 relations and 6492294 ideals in 2000000 cliques
  46. Thu Mar 20 18:58:39 2025 commencing in-memory singleton removal
  47. Thu Mar 20 18:58:43 2025 begin with 121181649 relations and 101432063 unique ideals
  48. Thu Mar 20 18:58:58 2025 reduce to 120743653 relations and 94494666 ideals in 8 passes
  49. Thu Mar 20 18:58:58 2025 max relations containing the same ideal: 181
  50. Thu Mar 20 18:59:28 2025 removing 7699128 relations and 5699128 ideals in 2000000 cliques
  51. Thu Mar 20 18:59:31 2025 commencing in-memory singleton removal
  52. Thu Mar 20 18:59:35 2025 begin with 113044525 relations and 94494666 unique ideals
  53. Thu Mar 20 18:59:47 2025 reduce to 112655442 relations and 88400204 ideals in 7 passes
  54. Thu Mar 20 18:59:47 2025 max relations containing the same ideal: 174
  55. Thu Mar 20 19:00:16 2025 removing 7284656 relations and 5284656 ideals in 2000000 cliques
  56. Thu Mar 20 19:00:18 2025 commencing in-memory singleton removal
  57. Thu Mar 20 19:00:22 2025 begin with 105370786 relations and 88400204 unique ideals
  58. Thu Mar 20 19:00:35 2025 reduce to 105003134 relations and 82741848 ideals in 8 passes
  59. Thu Mar 20 19:00:35 2025 max relations containing the same ideal: 164
  60. Thu Mar 20 19:01:01 2025 removing 7032230 relations and 5032230 ideals in 2000000 cliques
  61. Thu Mar 20 19:01:03 2025 commencing in-memory singleton removal
  62. Thu Mar 20 19:01:06 2025 begin with 97970904 relations and 82741848 unique ideals
  63. Thu Mar 20 19:01:19 2025 reduce to 97609275 relations and 77341690 ideals in 8 passes
  64. Thu Mar 20 19:01:19 2025 max relations containing the same ideal: 156
  65. Thu Mar 20 19:01:43 2025 removing 6860154 relations and 4860154 ideals in 2000000 cliques
  66. Thu Mar 20 19:01:46 2025 commencing in-memory singleton removal
  67. Thu Mar 20 19:01:49 2025 begin with 90749121 relations and 77341690 unique ideals
  68. Thu Mar 20 19:01:58 2025 reduce to 90385578 relations and 72111190 ideals in 7 passes
  69. Thu Mar 20 19:01:58 2025 max relations containing the same ideal: 149
  70. Thu Mar 20 19:02:21 2025 removing 6744821 relations and 4744821 ideals in 2000000 cliques
  71. Thu Mar 20 19:02:24 2025 commencing in-memory singleton removal
  72. Thu Mar 20 19:02:26 2025 begin with 83640757 relations and 72111190 unique ideals
  73. Thu Mar 20 19:02:35 2025 reduce to 83266603 relations and 66984605 ideals in 7 passes
  74. Thu Mar 20 19:02:35 2025 max relations containing the same ideal: 142
  75. Thu Mar 20 19:02:57 2025 removing 6667546 relations and 4667546 ideals in 2000000 cliques
  76. Thu Mar 20 19:02:59 2025 commencing in-memory singleton removal
  77. Thu Mar 20 19:03:01 2025 begin with 76599057 relations and 66984605 unique ideals
  78. Thu Mar 20 19:03:11 2025 reduce to 76206836 relations and 61916305 ideals in 8 passes
  79. Thu Mar 20 19:03:11 2025 max relations containing the same ideal: 133
  80. Thu Mar 20 19:03:31 2025 removing 6626349 relations and 4626349 ideals in 2000000 cliques
  81. Thu Mar 20 19:03:33 2025 commencing in-memory singleton removal
  82. Thu Mar 20 19:03:35 2025 begin with 69580487 relations and 61916305 unique ideals
  83. Thu Mar 20 19:03:42 2025 reduce to 69161240 relations and 56860860 ideals in 7 passes
  84. Thu Mar 20 19:03:42 2025 max relations containing the same ideal: 126
  85. Thu Mar 20 19:04:00 2025 removing 6608973 relations and 4608973 ideals in 2000000 cliques
  86. Thu Mar 20 19:04:02 2025 commencing in-memory singleton removal
  87. Thu Mar 20 19:04:04 2025 begin with 62552267 relations and 56860860 unique ideals
  88. Thu Mar 20 19:04:11 2025 reduce to 62094220 relations and 51782218 ideals in 7 passes
  89. Thu Mar 20 19:04:11 2025 max relations containing the same ideal: 118
  90. Thu Mar 20 19:04:27 2025 removing 6619845 relations and 4619845 ideals in 2000000 cliques
  91. Thu Mar 20 19:04:29 2025 commencing in-memory singleton removal
  92. Thu Mar 20 19:04:31 2025 begin with 55474375 relations and 51782218 unique ideals
  93. Thu Mar 20 19:04:37 2025 reduce to 54963287 relations and 46636772 ideals in 8 passes
  94. Thu Mar 20 19:04:37 2025 max relations containing the same ideal: 108
  95. Thu Mar 20 19:04:53 2025 removing 6658139 relations and 4658139 ideals in 2000000 cliques
  96. Thu Mar 20 19:04:55 2025 commencing in-memory singleton removal
  97. Thu Mar 20 19:04:56 2025 begin with 48305148 relations and 46636772 unique ideals
  98. Thu Mar 20 19:05:02 2025 reduce to 47720892 relations and 41375916 ideals in 8 passes
  99. Thu Mar 20 19:05:02 2025 max relations containing the same ideal: 101
  100. Thu Mar 20 19:05:15 2025 removing 6725916 relations and 4725916 ideals in 2000000 cliques
  101. Thu Mar 20 19:05:17 2025 commencing in-memory singleton removal
  102. Thu Mar 20 19:05:18 2025 begin with 40994976 relations and 41375916 unique ideals
  103. Thu Mar 20 19:05:22 2025 reduce to 40299294 relations and 35929066 ideals in 8 passes
  104. Thu Mar 20 19:05:22 2025 max relations containing the same ideal: 88
  105. Thu Mar 20 19:05:34 2025 removing 6839252 relations and 4839252 ideals in 2000000 cliques
  106. Thu Mar 20 19:05:35 2025 commencing in-memory singleton removal
  107. Thu Mar 20 19:05:36 2025 begin with 33460042 relations and 35929066 unique ideals
  108. Thu Mar 20 19:05:41 2025 reduce to 32597438 relations and 30190239 ideals in 9 passes
  109. Thu Mar 20 19:05:41 2025 max relations containing the same ideal: 77
  110. Thu Mar 20 19:05:50 2025 removing 5634398 relations and 4114173 ideals in 1520225 cliques
  111. Thu Mar 20 19:05:51 2025 commencing in-memory singleton removal
  112. Thu Mar 20 19:05:52 2025 begin with 26963040 relations and 30190239 unique ideals
  113. Thu Mar 20 19:05:56 2025 reduce to 26230025 relations and 25312918 ideals in 10 passes
  114. Thu Mar 20 19:05:56 2025 max relations containing the same ideal: 66
  115. Thu Mar 20 19:06:03 2025 removing 236432 relations and 206299 ideals in 30133 cliques
  116. Thu Mar 20 19:06:04 2025 commencing in-memory singleton removal
  117. Thu Mar 20 19:06:05 2025 begin with 25993593 relations and 25312918 unique ideals
  118. Thu Mar 20 19:06:07 2025 reduce to 25992342 relations and 25105367 ideals in 6 passes
  119. Thu Mar 20 19:06:07 2025 max relations containing the same ideal: 66
  120. Thu Mar 20 19:06:09 2025 relations with 0 large ideals: 17259
  121. Thu Mar 20 19:06:09 2025 relations with 1 large ideals: 15536
  122. Thu Mar 20 19:06:09 2025 relations with 2 large ideals: 218658
  123. Thu Mar 20 19:06:09 2025 relations with 3 large ideals: 1262619
  124. Thu Mar 20 19:06:09 2025 relations with 4 large ideals: 3820376
  125. Thu Mar 20 19:06:09 2025 relations with 5 large ideals: 6664163
  126. Thu Mar 20 19:06:09 2025 relations with 6 large ideals: 7240307
  127. Thu Mar 20 19:06:09 2025 relations with 7+ large ideals: 6753424
  128. Thu Mar 20 19:06:09 2025 commencing 2-way merge
  129. Thu Mar 20 19:06:19 2025 reduce to 15746607 relation sets and 14859632 unique ideals
  130. Thu Mar 20 19:06:19 2025 commencing full merge
  131. Thu Mar 20 19:13:28 2025 memory use: 694.5 MB
  132. Thu Mar 20 19:13:28 2025 found 39839 cycles, need 3566332
  133. Thu Mar 20 19:13:28 2025 too few cycles, matrix probably cannot build
  134. Thu Mar 20 19:13:28 2025 filtering wants 1000000 more relations
  135. Thu Mar 20 19:13:28 2025 elapsed time 00:25:43
  136. Thu Mar 20 19:13:29 2025
  137. Thu Mar 20 19:13:29 2025
  138. Thu Mar 20 19:13:29 2025 Msieve v. 1.54 (SVN Unversioned directory)
  139. Thu Mar 20 19:13:29 2025 random seeds: 5ac8b5ea cb7e29df
  140. Thu Mar 20 19:13:29 2025 MPI process 0 of 1
  141. Thu Mar 20 19:13:29 2025 Using 8 OpenMP threads
  142. Thu Mar 20 19:13:29 2025 factoring 225934286502823373318186600648176850239654720613833370628332229903109233142289930289791424432841358599213516842038247670752446795961637405886199227184757568403297153728208724037864317575953821731274369089896687 (210 digits)
  143. Thu Mar 20 19:13:29 2025 searching for 15-digit factors
  144. Thu Mar 20 19:13:29 2025 commencing number field sieve (210-digit input)
  145. Thu Mar 20 19:13:29 2025 R0: 1000000000000000000000000000000000000000000000
  146. Thu Mar 20 19:13:29 2025 R1: -1
  147. Thu Mar 20 19:13:29 2025 A0: 719
  148. Thu Mar 20 19:13:29 2025 A1: 0
  149. Thu Mar 20 19:13:29 2025 A2: 0
  150. Thu Mar 20 19:13:29 2025 A3: 0
  151. Thu Mar 20 19:13:29 2025 A4: 0
  152. Thu Mar 20 19:13:29 2025 A5: 10
  153. Thu Mar 20 19:13:29 2025 skew 1.00, size 6.794e-16, alpha 1.514, combined = 7.883e-13 rroots = 1
  154. Thu Mar 20 19:13:29 2025
  155. Thu Mar 20 19:13:29 2025 commencing relation filtering
  156. Thu Mar 20 19:13:29 2025 setting target matrix density to 130.0
  157. Thu Mar 20 19:13:29 2025 estimated available RAM is 64046.9 MB
  158. Thu Mar 20 19:13:29 2025 commencing duplicate removal, pass 1
  159. Thu Mar 20 19:16:00 2025 skipped 11 relations with b > 2^32
  160. Thu Mar 20 19:16:00 2025 found 5224771 hash collisions in 153320900 relations
  161. Thu Mar 20 19:16:16 2025 commencing duplicate removal, pass 2
  162. Thu Mar 20 19:16:45 2025 found 0 duplicates and 153320900 unique relations
  163. Thu Mar 20 19:16:45 2025 memory use: 522.4 MB
  164. Thu Mar 20 19:16:45 2025 reading ideals above 720000
  165. Thu Mar 20 19:16:45 2025 commencing singleton removal, initial pass
  166. Thu Mar 20 19:22:03 2025 memory use: 3012.0 MB
  167. Thu Mar 20 19:22:07 2025 reading all ideals from disk
  168. Thu Mar 20 19:22:09 2025 memory use: 7021.8 MB
  169. Thu Mar 20 19:22:17 2025 keeping 123217259 ideals with weight <= 200, target excess is 764632
  170. Thu Mar 20 19:22:29 2025 commencing in-memory singleton removal
  171. Thu Mar 20 19:22:34 2025 begin with 153320900 relations and 123217259 unique ideals
  172. Thu Mar 20 19:23:06 2025 reduce to 141483280 relations and 111253364 ideals in 14 passes
  173. Thu Mar 20 19:23:06 2025 max relations containing the same ideal: 197
  174. Thu Mar 20 19:23:41 2025 removing 11160883 relations and 9160883 ideals in 2000000 cliques
  175. Thu Mar 20 19:23:44 2025 commencing in-memory singleton removal
  176. Thu Mar 20 19:23:48 2025 begin with 130322397 relations and 111253364 unique ideals
  177. Thu Mar 20 19:24:03 2025 reduce to 129673943 relations and 101432063 ideals in 7 passes
  178. Thu Mar 20 19:24:03 2025 max relations containing the same ideal: 189
  179. Thu Mar 20 19:24:35 2025 removing 8492294 relations and 6492294 ideals in 2000000 cliques
  180. Thu Mar 20 19:24:38 2025 commencing in-memory singleton removal
  181. Thu Mar 20 19:24:42 2025 begin with 121181649 relations and 101432063 unique ideals
  182. Thu Mar 20 19:24:56 2025 reduce to 120743653 relations and 94494666 ideals in 7 passes
  183. Thu Mar 20 19:24:56 2025 max relations containing the same ideal: 181
  184. Thu Mar 20 19:25:26 2025 removing 7699128 relations and 5699128 ideals in 2000000 cliques
  185. Thu Mar 20 19:25:29 2025 commencing in-memory singleton removal
  186. Thu Mar 20 19:25:33 2025 begin with 113044525 relations and 94494666 unique ideals
  187. Thu Mar 20 19:25:46 2025 reduce to 112655442 relations and 88400204 ideals in 7 passes
  188. Thu Mar 20 19:25:46 2025 max relations containing the same ideal: 174
  189. Thu Mar 20 19:26:14 2025 removing 7284656 relations and 5284656 ideals in 2000000 cliques
  190. Thu Mar 20 19:26:16 2025 commencing in-memory singleton removal
  191. Thu Mar 20 19:26:20 2025 begin with 105370786 relations and 88400204 unique ideals
  192. Thu Mar 20 19:26:31 2025 reduce to 105003134 relations and 82741848 ideals in 7 passes
  193. Thu Mar 20 19:26:31 2025 max relations containing the same ideal: 164
  194. Thu Mar 20 19:26:58 2025 removing 7032230 relations and 5032230 ideals in 2000000 cliques
  195. Thu Mar 20 19:27:00 2025 commencing in-memory singleton removal
  196. Thu Mar 20 19:27:03 2025 begin with 97970904 relations and 82741848 unique ideals
  197. Thu Mar 20 19:27:15 2025 reduce to 97609275 relations and 77341690 ideals in 8 passes
  198. Thu Mar 20 19:27:15 2025 max relations containing the same ideal: 156
  199. Thu Mar 20 19:27:40 2025 removing 6860154 relations and 4860154 ideals in 2000000 cliques
  200. Thu Mar 20 19:27:42 2025 commencing in-memory singleton removal
  201. Thu Mar 20 19:27:45 2025 begin with 90749121 relations and 77341690 unique ideals
  202. Thu Mar 20 19:27:55 2025 reduce to 90385578 relations and 72111190 ideals in 7 passes
  203. Thu Mar 20 19:27:55 2025 max relations containing the same ideal: 149
  204. Thu Mar 20 19:28:18 2025 removing 6744821 relations and 4744821 ideals in 2000000 cliques
  205. Thu Mar 20 19:28:20 2025 commencing in-memory singleton removal
  206. Thu Mar 20 19:28:23 2025 begin with 83640757 relations and 72111190 unique ideals
  207. Thu Mar 20 19:28:32 2025 reduce to 83266603 relations and 66984605 ideals in 7 passes
  208. Thu Mar 20 19:28:32 2025 max relations containing the same ideal: 142
  209. Thu Mar 20 19:28:53 2025 removing 6667546 relations and 4667546 ideals in 2000000 cliques
  210. Thu Mar 20 19:28:56 2025 commencing in-memory singleton removal
  211. Thu Mar 20 19:28:58 2025 begin with 76599057 relations and 66984605 unique ideals
  212. Thu Mar 20 19:29:06 2025 reduce to 76206836 relations and 61916305 ideals in 7 passes
  213. Thu Mar 20 19:29:06 2025 max relations containing the same ideal: 133
  214. Thu Mar 20 19:29:26 2025 removing 6626349 relations and 4626349 ideals in 2000000 cliques
  215. Thu Mar 20 19:29:28 2025 commencing in-memory singleton removal
  216. Thu Mar 20 19:29:30 2025 begin with 69580487 relations and 61916305 unique ideals
  217. Thu Mar 20 19:29:37 2025 reduce to 69161240 relations and 56860860 ideals in 7 passes
  218. Thu Mar 20 19:29:37 2025 max relations containing the same ideal: 126
  219. Thu Mar 20 19:29:56 2025 removing 6608973 relations and 4608973 ideals in 2000000 cliques
  220. Thu Mar 20 19:29:58 2025 commencing in-memory singleton removal
  221. Thu Mar 20 19:29:59 2025 begin with 62552267 relations and 56860860 unique ideals
  222. Thu Mar 20 19:30:07 2025 reduce to 62094220 relations and 51782218 ideals in 8 passes
  223. Thu Mar 20 19:30:07 2025 max relations containing the same ideal: 118
  224. Thu Mar 20 19:30:24 2025 removing 6619845 relations and 4619845 ideals in 2000000 cliques
  225. Thu Mar 20 19:30:26 2025 commencing in-memory singleton removal
  226. Thu Mar 20 19:30:27 2025 begin with 55474375 relations and 51782218 unique ideals
  227. Thu Mar 20 19:30:33 2025 reduce to 54963287 relations and 46636772 ideals in 7 passes
  228. Thu Mar 20 19:30:33 2025 max relations containing the same ideal: 108
  229. Thu Mar 20 19:30:48 2025 removing 6658139 relations and 4658139 ideals in 2000000 cliques
  230. Thu Mar 20 19:30:50 2025 commencing in-memory singleton removal
  231. Thu Mar 20 19:30:52 2025 begin with 48305148 relations and 46636772 unique ideals
  232. Thu Mar 20 19:30:57 2025 reduce to 47720892 relations and 41375916 ideals in 8 passes
  233. Thu Mar 20 19:30:57 2025 max relations containing the same ideal: 101
  234. Thu Mar 20 19:31:10 2025 removing 6725916 relations and 4725916 ideals in 2000000 cliques
  235. Thu Mar 20 19:31:12 2025 commencing in-memory singleton removal
  236. Thu Mar 20 19:31:13 2025 begin with 40994976 relations and 41375916 unique ideals
  237. Thu Mar 20 19:31:18 2025 reduce to 40299294 relations and 35929066 ideals in 8 passes
  238. Thu Mar 20 19:31:18 2025 max relations containing the same ideal: 88
  239. Thu Mar 20 19:31:29 2025 removing 6839252 relations and 4839252 ideals in 2000000 cliques
  240. Thu Mar 20 19:31:31 2025 commencing in-memory singleton removal
  241. Thu Mar 20 19:31:32 2025 begin with 33460042 relations and 35929066 unique ideals
  242. Thu Mar 20 19:31:36 2025 reduce to 32597438 relations and 30190239 ideals in 9 passes
  243. Thu Mar 20 19:31:36 2025 max relations containing the same ideal: 77
  244. Thu Mar 20 19:31:45 2025 removing 5634398 relations and 4114173 ideals in 1520225 cliques
  245. Thu Mar 20 19:31:47 2025 commencing in-memory singleton removal
  246. Thu Mar 20 19:31:47 2025 begin with 26963040 relations and 30190239 unique ideals
  247. Thu Mar 20 19:31:51 2025 reduce to 26230025 relations and 25312918 ideals in 10 passes
  248. Thu Mar 20 19:31:51 2025 max relations containing the same ideal: 66
  249. Thu Mar 20 19:31:59 2025 removing 236432 relations and 206299 ideals in 30133 cliques
  250. Thu Mar 20 19:31:59 2025 commencing in-memory singleton removal
  251. Thu Mar 20 19:32:00 2025 begin with 25993593 relations and 25312918 unique ideals
  252. Thu Mar 20 19:32:02 2025 reduce to 25992342 relations and 25105367 ideals in 6 passes
  253. Thu Mar 20 19:32:02 2025 max relations containing the same ideal: 66
  254. Thu Mar 20 19:32:05 2025 relations with 0 large ideals: 17259
  255. Thu Mar 20 19:32:05 2025 relations with 1 large ideals: 15536
  256. Thu Mar 20 19:32:05 2025 relations with 2 large ideals: 218658
  257. Thu Mar 20 19:32:05 2025 relations with 3 large ideals: 1262619
  258. Thu Mar 20 19:32:05 2025 relations with 4 large ideals: 3820376
  259. Thu Mar 20 19:32:05 2025 relations with 5 large ideals: 6664163
  260. Thu Mar 20 19:32:05 2025 relations with 6 large ideals: 7240307
  261. Thu Mar 20 19:32:05 2025 relations with 7+ large ideals: 6753424
  262. Thu Mar 20 19:32:05 2025 commencing 2-way merge
  263. Thu Mar 20 19:32:15 2025 reduce to 15746607 relation sets and 14859632 unique ideals
  264. Thu Mar 20 19:32:15 2025 commencing full merge
  265. Thu Mar 20 19:39:27 2025 memory use: 694.5 MB
  266. Thu Mar 20 19:39:27 2025 found 39839 cycles, need 3566332
  267. Thu Mar 20 19:39:27 2025 too few cycles, matrix probably cannot build
  268. Thu Mar 20 19:39:27 2025 filtering wants 1000000 more relations
  269. Thu Mar 20 19:39:27 2025 elapsed time 00:25:58
  270. Thu Mar 20 19:39:27 2025
  271. Thu Mar 20 19:39:27 2025
  272. Thu Mar 20 19:39:27 2025 Msieve v. 1.54 (SVN Unversioned directory)
  273. Thu Mar 20 19:39:27 2025 random seeds: 64038b23 bc3acb4c
  274. Thu Mar 20 19:39:27 2025 MPI process 0 of 1
  275. Thu Mar 20 19:39:27 2025 Using 8 OpenMP threads
  276. Thu Mar 20 19:39:27 2025 factoring 225934286502823373318186600648176850239654720613833370628332229903109233142289930289791424432841358599213516842038247670752446795961637405886199227184757568403297153728208724037864317575953821731274369089896687 (210 digits)
  277. Thu Mar 20 19:39:28 2025 searching for 15-digit factors
  278. Thu Mar 20 19:39:28 2025 commencing number field sieve (210-digit input)
  279. Thu Mar 20 19:39:28 2025 R0: 1000000000000000000000000000000000000000000000
  280. Thu Mar 20 19:39:28 2025 R1: -1
  281. Thu Mar 20 19:39:28 2025 A0: 719
  282. Thu Mar 20 19:39:28 2025 A1: 0
  283. Thu Mar 20 19:39:28 2025 A2: 0
  284. Thu Mar 20 19:39:28 2025 A3: 0
  285. Thu Mar 20 19:39:28 2025 A4: 0
  286. Thu Mar 20 19:39:28 2025 A5: 10
  287. Thu Mar 20 19:39:28 2025 skew 1.00, size 6.794e-16, alpha 1.514, combined = 7.883e-13 rroots = 1
  288. Thu Mar 20 19:39:28 2025
  289. Thu Mar 20 19:39:28 2025 commencing relation filtering
  290. Thu Mar 20 19:39:28 2025 setting target matrix density to 120.0
  291. Thu Mar 20 19:39:28 2025 estimated available RAM is 64046.9 MB
  292. Thu Mar 20 19:39:28 2025 commencing duplicate removal, pass 1
  293. Thu Mar 20 19:41:51 2025 skipped 11 relations with b > 2^32
  294. Thu Mar 20 19:41:51 2025 found 5224771 hash collisions in 153320900 relations
  295. Thu Mar 20 19:42:06 2025 commencing duplicate removal, pass 2
  296. Thu Mar 20 19:42:36 2025 found 0 duplicates and 153320900 unique relations
  297. Thu Mar 20 19:42:36 2025 memory use: 522.4 MB
  298. Thu Mar 20 19:42:36 2025 reading ideals above 720000
  299. Thu Mar 20 19:42:36 2025 commencing singleton removal, initial pass
  300. Thu Mar 20 19:47:50 2025 memory use: 3012.0 MB
  301. Thu Mar 20 19:47:52 2025 reading all ideals from disk
  302. Thu Mar 20 19:47:54 2025 memory use: 7021.8 MB
  303. Thu Mar 20 19:48:02 2025 keeping 123217259 ideals with weight <= 200, target excess is 764632
  304. Thu Mar 20 19:48:13 2025 commencing in-memory singleton removal
  305. Thu Mar 20 19:48:18 2025 begin with 153320900 relations and 123217259 unique ideals
  306. Thu Mar 20 19:48:47 2025 reduce to 141483280 relations and 111253364 ideals in 13 passes
  307. Thu Mar 20 19:48:47 2025 max relations containing the same ideal: 197
  308. Thu Mar 20 19:49:22 2025 removing 11160883 relations and 9160883 ideals in 2000000 cliques
  309. Thu Mar 20 19:49:26 2025 commencing in-memory singleton removal
  310. Thu Mar 20 19:49:30 2025 begin with 130322397 relations and 111253364 unique ideals
  311. Thu Mar 20 19:49:44 2025 reduce to 129673943 relations and 101432063 ideals in 7 passes
  312. Thu Mar 20 19:49:44 2025 max relations containing the same ideal: 189
  313. Thu Mar 20 19:50:16 2025 removing 8492294 relations and 6492294 ideals in 2000000 cliques
  314. Thu Mar 20 19:50:19 2025 commencing in-memory singleton removal
  315. Thu Mar 20 19:50:23 2025 begin with 121181649 relations and 101432063 unique ideals
  316. Thu Mar 20 19:50:38 2025 reduce to 120743653 relations and 94494666 ideals in 8 passes
  317. Thu Mar 20 19:50:38 2025 max relations containing the same ideal: 181
  318. Thu Mar 20 19:51:08 2025 removing 7699128 relations and 5699128 ideals in 2000000 cliques
  319. Thu Mar 20 19:51:11 2025 commencing in-memory singleton removal
  320. Thu Mar 20 19:51:15 2025 begin with 113044525 relations and 94494666 unique ideals
  321. Thu Mar 20 19:51:27 2025 reduce to 112655442 relations and 88400204 ideals in 7 passes
  322. Thu Mar 20 19:51:27 2025 max relations containing the same ideal: 174
  323. Thu Mar 20 19:51:55 2025 removing 7284656 relations and 5284656 ideals in 2000000 cliques
  324. Thu Mar 20 19:51:57 2025 commencing in-memory singleton removal
  325. Thu Mar 20 19:52:01 2025 begin with 105370786 relations and 88400204 unique ideals
  326. Thu Mar 20 19:52:12 2025 reduce to 105003134 relations and 82741848 ideals in 7 passes
  327. Thu Mar 20 19:52:12 2025 max relations containing the same ideal: 164
  328. Thu Mar 20 19:52:38 2025 removing 7032230 relations and 5032230 ideals in 2000000 cliques
  329. Thu Mar 20 19:52:41 2025 commencing in-memory singleton removal
  330. Thu Mar 20 19:52:44 2025 begin with 97970904 relations and 82741848 unique ideals
  331. Thu Mar 20 19:52:56 2025 reduce to 97609275 relations and 77341690 ideals in 8 passes
  332. Thu Mar 20 19:52:56 2025 max relations containing the same ideal: 156
  333. Thu Mar 20 19:53:20 2025 removing 6860154 relations and 4860154 ideals in 2000000 cliques
  334. Thu Mar 20 19:53:22 2025 commencing in-memory singleton removal
  335. Thu Mar 20 19:53:25 2025 begin with 90749121 relations and 77341690 unique ideals
  336. Thu Mar 20 19:53:35 2025 reduce to 90385578 relations and 72111190 ideals in 7 passes
  337. Thu Mar 20 19:53:35 2025 max relations containing the same ideal: 149
  338. Thu Mar 20 19:53:58 2025 removing 6744821 relations and 4744821 ideals in 2000000 cliques
  339. Thu Mar 20 19:54:00 2025 commencing in-memory singleton removal
  340. Thu Mar 20 19:54:02 2025 begin with 83640757 relations and 72111190 unique ideals
  341. Thu Mar 20 19:54:12 2025 reduce to 83266603 relations and 66984605 ideals in 7 passes
  342. Thu Mar 20 19:54:12 2025 max relations containing the same ideal: 142
  343. Thu Mar 20 19:54:33 2025 removing 6667546 relations and 4667546 ideals in 2000000 cliques
  344. Thu Mar 20 19:54:35 2025 commencing in-memory singleton removal
  345. Thu Mar 20 19:54:37 2025 begin with 76599057 relations and 66984605 unique ideals
  346. Thu Mar 20 19:54:45 2025 reduce to 76206836 relations and 61916305 ideals in 7 passes
  347. Thu Mar 20 19:54:45 2025 max relations containing the same ideal: 133
  348. Thu Mar 20 19:55:05 2025 removing 6626349 relations and 4626349 ideals in 2000000 cliques
  349. Thu Mar 20 19:55:07 2025 commencing in-memory singleton removal
  350. Thu Mar 20 19:55:09 2025 begin with 69580487 relations and 61916305 unique ideals
  351. Thu Mar 20 19:55:16 2025 reduce to 69161240 relations and 56860860 ideals in 7 passes
  352. Thu Mar 20 19:55:16 2025 max relations containing the same ideal: 126
  353. Thu Mar 20 19:55:34 2025 removing 6608973 relations and 4608973 ideals in 2000000 cliques
  354. Thu Mar 20 19:55:36 2025 commencing in-memory singleton removal
  355. Thu Mar 20 19:55:38 2025 begin with 62552267 relations and 56860860 unique ideals
  356. Thu Mar 20 19:55:45 2025 reduce to 62094220 relations and 51782218 ideals in 8 passes
  357. Thu Mar 20 19:55:45 2025 max relations containing the same ideal: 118
  358. Thu Mar 20 19:56:02 2025 removing 6619845 relations and 4619845 ideals in 2000000 cliques
  359. Thu Mar 20 19:56:03 2025 commencing in-memory singleton removal
  360. Thu Mar 20 19:56:05 2025 begin with 55474375 relations and 51782218 unique ideals
  361. Thu Mar 20 19:56:11 2025 reduce to 54963287 relations and 46636772 ideals in 7 passes
  362. Thu Mar 20 19:56:11 2025 max relations containing the same ideal: 108
  363. Thu Mar 20 19:56:26 2025 removing 6658139 relations and 4658139 ideals in 2000000 cliques
  364. Thu Mar 20 19:56:27 2025 commencing in-memory singleton removal
  365. Thu Mar 20 19:56:29 2025 begin with 48305148 relations and 46636772 unique ideals
  366. Thu Mar 20 19:56:34 2025 reduce to 47720892 relations and 41375916 ideals in 8 passes
  367. Thu Mar 20 19:56:34 2025 max relations containing the same ideal: 101
  368. Thu Mar 20 19:56:47 2025 removing 6725916 relations and 4725916 ideals in 2000000 cliques
  369. Thu Mar 20 19:56:49 2025 commencing in-memory singleton removal
  370. Thu Mar 20 19:56:50 2025 begin with 40994976 relations and 41375916 unique ideals
  371. Thu Mar 20 19:56:55 2025 reduce to 40299294 relations and 35929066 ideals in 8 passes
  372. Thu Mar 20 19:56:55 2025 max relations containing the same ideal: 88
  373. Thu Mar 20 19:57:06 2025 removing 6839252 relations and 4839252 ideals in 2000000 cliques
  374. Thu Mar 20 19:57:08 2025 commencing in-memory singleton removal
  375. Thu Mar 20 19:57:09 2025 begin with 33460042 relations and 35929066 unique ideals
  376. Thu Mar 20 19:57:13 2025 reduce to 32597438 relations and 30190239 ideals in 9 passes
  377. Thu Mar 20 19:57:13 2025 max relations containing the same ideal: 77
  378. Thu Mar 20 19:57:22 2025 removing 5634398 relations and 4114173 ideals in 1520225 cliques
  379. Thu Mar 20 19:57:24 2025 commencing in-memory singleton removal
  380. Thu Mar 20 19:57:24 2025 begin with 26963040 relations and 30190239 unique ideals
  381. Thu Mar 20 19:57:28 2025 reduce to 26230025 relations and 25312918 ideals in 10 passes
  382. Thu Mar 20 19:57:28 2025 max relations containing the same ideal: 66
  383. Thu Mar 20 19:57:36 2025 removing 236432 relations and 206299 ideals in 30133 cliques
  384. Thu Mar 20 19:57:36 2025 commencing in-memory singleton removal
  385. Thu Mar 20 19:57:37 2025 begin with 25993593 relations and 25312918 unique ideals
  386. Thu Mar 20 19:57:39 2025 reduce to 25992342 relations and 25105367 ideals in 6 passes
  387. Thu Mar 20 19:57:39 2025 max relations containing the same ideal: 66
  388. Thu Mar 20 19:57:42 2025 relations with 0 large ideals: 17259
  389. Thu Mar 20 19:57:42 2025 relations with 1 large ideals: 15536
  390. Thu Mar 20 19:57:42 2025 relations with 2 large ideals: 218658
  391. Thu Mar 20 19:57:42 2025 relations with 3 large ideals: 1262619
  392. Thu Mar 20 19:57:42 2025 relations with 4 large ideals: 3820376
  393. Thu Mar 20 19:57:42 2025 relations with 5 large ideals: 6664163
  394. Thu Mar 20 19:57:42 2025 relations with 6 large ideals: 7240307
  395. Thu Mar 20 19:57:42 2025 relations with 7+ large ideals: 6753424
  396. Thu Mar 20 19:57:42 2025 commencing 2-way merge
  397. Thu Mar 20 19:57:52 2025 reduce to 15746607 relation sets and 14859632 unique ideals
  398. Thu Mar 20 19:57:52 2025 commencing full merge
  399. Thu Mar 20 20:01:30 2025 memory use: 1940.6 MB
  400. Thu Mar 20 20:01:31 2025 found 7058486 cycles, need 7015832
  401. Thu Mar 20 20:01:33 2025 weight of 7015832 cycles is about 842136835 (120.03/cycle)
  402. Thu Mar 20 20:01:33 2025 distribution of cycle lengths:
  403. Thu Mar 20 20:01:33 2025 1 relations: 375028
  404. Thu Mar 20 20:01:33 2025 2 relations: 454198
  405. Thu Mar 20 20:01:33 2025 3 relations: 488328
  406. Thu Mar 20 20:01:33 2025 4 relations: 486075
  407. Thu Mar 20 20:01:33 2025 5 relations: 488379
  408. Thu Mar 20 20:01:33 2025 6 relations: 482126
  409. Thu Mar 20 20:01:33 2025 7 relations: 477005
  410. Thu Mar 20 20:01:33 2025 8 relations: 457808
  411. Thu Mar 20 20:01:33 2025 9 relations: 432455
  412. Thu Mar 20 20:01:33 2025 10+ relations: 2874430
  413. Thu Mar 20 20:01:33 2025 heaviest cycle: 28 relations
  414. Thu Mar 20 20:01:34 2025 commencing cycle optimization
  415. Thu Mar 20 20:01:43 2025 start with 63055531 relations
  416. Thu Mar 20 20:03:08 2025 pruned 2704537 relations
  417. Thu Mar 20 20:03:08 2025 memory use: 1708.1 MB
  418. Thu Mar 20 20:03:08 2025 distribution of cycle lengths:
  419. Thu Mar 20 20:03:08 2025 1 relations: 375028
  420. Thu Mar 20 20:03:08 2025 2 relations: 464614
  421. Thu Mar 20 20:03:08 2025 3 relations: 507583
  422. Thu Mar 20 20:03:08 2025 4 relations: 504029
  423. Thu Mar 20 20:03:08 2025 5 relations: 510304
  424. Thu Mar 20 20:03:08 2025 6 relations: 503430
  425. Thu Mar 20 20:03:08 2025 7 relations: 500687
  426. Thu Mar 20 20:03:08 2025 8 relations: 477748
  427. Thu Mar 20 20:03:08 2025 9 relations: 452623
  428. Thu Mar 20 20:03:08 2025 10+ relations: 2719786
  429. Thu Mar 20 20:03:08 2025 heaviest cycle: 28 relations
  430. Thu Mar 20 20:03:14 2025 RelProcTime: 1426
  431. Thu Mar 20 20:03:14 2025
  432. Thu Mar 20 20:03:14 2025 commencing linear algebra
  433. Thu Mar 20 20:03:14 2025 using VBITS=256
  434. Thu Mar 20 20:03:14 2025 initialized process (0,0) of 1 x 1 grid
  435. Thu Mar 20 20:03:15 2025 read 7015832 cycles
  436. Thu Mar 20 20:03:23 2025 cycles contain 25425269 unique relations
  437. Thu Mar 20 20:03:44 2025 read 25425269 relations
  438. Thu Mar 20 20:03:53 2025 using 20 quadratic characters above 4294917295
  439. Thu Mar 20 20:04:06 2025 building initial matrix
  440. Thu Mar 20 20:07:06 2025 memory use: 3179.6 MB
  441. Thu Mar 20 20:07:09 2025 read 7015832 cycles
  442. Thu Mar 20 20:07:09 2025 matrix is 7015655 x 7015832 (3292.8 MB) with weight 942916652 (134.40/col)
  443. Thu Mar 20 20:07:09 2025 sparse part has weight 786015017 (112.03/col)
  444. Thu Mar 20 20:08:01 2025 filtering completed in 2 passes
  445. Thu Mar 20 20:08:02 2025 matrix is 7015287 x 7015461 (3292.8 MB) with weight 942900383 (134.40/col)
  446. Thu Mar 20 20:08:02 2025 sparse part has weight 786007409 (112.04/col)
  447. Thu Mar 20 20:08:34 2025 matrix starts at (0, 0)
  448. Thu Mar 20 20:08:34 2025 matrix is 7015287 x 7015461 (3292.8 MB) with weight 942900383 (134.40/col)
  449. Thu Mar 20 20:08:34 2025 sparse part has weight 786007409 (112.04/col)
  450. Thu Mar 20 20:08:34 2025 saving the first 240 matrix rows for later
  451. Thu Mar 20 20:08:35 2025 matrix includes 256 packed rows
  452. Thu Mar 20 20:08:36 2025 matrix is 7015047 x 7015461 (2998.8 MB) with weight 712651713 (101.58/col)
  453. Thu Mar 20 20:08:36 2025 sparse part has weight 673866337 (96.05/col)
  454. Thu Mar 20 20:08:36 2025 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  455. Thu Mar 20 20:08:48 2025 commencing Lanczos iteration (8 threads)
  456. Thu Mar 20 20:08:48 2025 memory use: 4328.3 MB
  457. Thu Mar 20 20:13:21 2025 linear algebra at 0.4%, ETA 17h 9m
  458. Thu Mar 20 20:20:10 2025 checking every 10000 dimensions, checkpointing every 410000 dimensions
  459. Fri Mar 21 13:22:56 2025 lanczos halted after 27486 iterations (dim = 7015045)
  460. Fri Mar 21 13:23:14 2025 recovered 36 nontrivial dependencies
  461. Fri Mar 21 13:23:14 2025 BLanczosTime: 62400
  462. Fri Mar 21 13:23:14 2025
  463. Fri Mar 21 13:23:14 2025 commencing square root phase
  464. Fri Mar 21 13:23:14 2025 handling dependencies 1 to 64
  465. Fri Mar 21 13:23:14 2025 reading relations for dependency 1
  466. Fri Mar 21 13:23:15 2025 read 3509183 cycles
  467. Fri Mar 21 13:23:19 2025 cycles contain 12717032 unique relations
  468. Fri Mar 21 13:23:34 2025 read 12717032 relations
  469. Fri Mar 21 13:24:03 2025 multiplying 12717032 relations
  470. Fri Mar 21 13:24:56 2025 multiply complete, coefficients have about 365.55 million bits
  471. Fri Mar 21 13:24:57 2025 initial square root is modulo 3623951
  472. Fri Mar 21 13:26:21 2025 sqrtTime: 187
  473. Fri Mar 21 13:26:21 2025 p105 factor: 447689301921391755953853327453327383006123586475899047282654627053635197078452059735112872800617409426579
  474. Fri Mar 21 13:26:21 2025 p105 factor: 504667602136479927208791481570882761847997094513892100378081714719465965446405311367033638288768855472053
  475. Fri Mar 21 13:26:21 2025 elapsed time 17:46:54
  476.  
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