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Jun 20th, 2025
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  1. Wed Jun 18 11:10:49 2025
  2. Wed Jun 18 11:10:49 2025
  3. Wed Jun 18 11:10:49 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jun 18 11:10:49 2025 random seeds: a6cb1d80 0c89f9b9
  5. Wed Jun 18 11:10:49 2025 MPI process 0 of 1
  6. Wed Jun 18 11:10:49 2025 Using 64 OpenMP threads
  7. Wed Jun 18 11:10:49 2025 factoring 445225613601631981033306642813079750370439322616263780738108601448580341621977365101365733540924446017319913290643893251159747461740007229971727302370297514191388136517917 (171 digits)
  8. Wed Jun 18 11:10:49 2025 searching for 15-digit factors
  9. Wed Jun 18 11:10:50 2025 commencing number field sieve (171-digit input)
  10. Wed Jun 18 11:10:50 2025 reversing signs of algebraic polynomial
  11. Wed Jun 18 11:10:50 2025 R0: -1056428268836220729290032053758591
  12. Wed Jun 18 11:10:50 2025 R1: 8609099988942432490622683
  13. Wed Jun 18 11:10:50 2025 A0: -29000000401271858480552374394629951124256
  14. Wed Jun 18 11:10:50 2025 A1: 167831901177601543918203356650832414
  15. Wed Jun 18 11:10:50 2025 A2: -120475151595089234955953959
  16. Wed Jun 18 11:10:50 2025 A3: -529785259867030455094
  17. Wed Jun 18 11:10:50 2025 A4: 1689734484210
  18. Wed Jun 18 11:10:50 2025 A5: 359100
  19. Wed Jun 18 11:10:50 2025 skew 24885097.80, size 1.654e-16, alpha -7.955, combined = 3.872e-13 rroots = 5
  20. Wed Jun 18 11:10:50 2025
  21. Wed Jun 18 11:10:50 2025 commencing relation filtering
  22. Wed Jun 18 11:10:50 2025 setting target matrix density to 140.0
  23. Wed Jun 18 11:10:50 2025 reversing signs of algebraic polynomial
  24. Wed Jun 18 11:10:50 2025 estimated available RAM is 257736.5 MB
  25. Wed Jun 18 11:10:50 2025 commencing duplicate removal, pass 1
  26. Wed Jun 18 11:21:53 2025 skipped 1 relations with b > 2^32
  27. Wed Jun 18 11:21:53 2025 skipped 1 relations with composite factors
  28. Wed Jun 18 11:21:53 2025 skipped 514 malformed relations
  29. Wed Jun 18 11:21:53 2025 found 70156208 hash collisions in 350171087 relations
  30. Wed Jun 18 11:22:22 2025 added 122169 free relations
  31. Wed Jun 18 11:22:23 2025 commencing duplicate removal, pass 2
  32. Wed Jun 18 11:30:44 2025 found 73531965 duplicates and 276761291 unique relations
  33. Wed Jun 18 11:30:44 2025 memory use: 1705.5 MB
  34. Wed Jun 18 11:30:44 2025 reading ideals above 720000
  35. Wed Jun 18 11:30:45 2025 commencing singleton removal, initial pass
  36. Wed Jun 18 11:51:39 2025 memory use: 5512.0 MB
  37. Wed Jun 18 11:51:39 2025 reading all ideals from disk
  38. Wed Jun 18 11:51:45 2025 memory use: 13036.4 MB
  39. Wed Jun 18 11:52:28 2025 keeping 190524559 ideals with weight <= 200, target excess is 1475812
  40. Wed Jun 18 11:53:22 2025 commencing in-memory singleton removal
  41. Wed Jun 18 11:53:25 2025 begin with 276761291 relations and 190524559 unique ideals
  42. Wed Jun 18 11:53:41 2025 reduce to 235742704 relations and 147564109 ideals in 10 passes
  43. Wed Jun 18 11:53:41 2025 max relations containing the same ideal: 189
  44. Wed Jun 18 11:55:21 2025 removing 7122890 relations and 5122890 ideals in 2000000 cliques
  45. Wed Jun 18 11:55:32 2025 commencing in-memory singleton removal
  46. Wed Jun 18 11:55:35 2025 begin with 228619814 relations and 147564109 unique ideals
  47. Wed Jun 18 11:55:44 2025 reduce to 228417098 relations and 142236023 ideals in 6 passes
  48. Wed Jun 18 11:55:44 2025 max relations containing the same ideal: 187
  49. Wed Jun 18 11:57:26 2025 removing 5753158 relations and 3753158 ideals in 2000000 cliques
  50. Wed Jun 18 11:57:36 2025 commencing in-memory singleton removal
  51. Wed Jun 18 11:57:39 2025 begin with 222663940 relations and 142236023 unique ideals
  52. Wed Jun 18 11:57:47 2025 reduce to 222529549 relations and 138347069 ideals in 5 passes
  53. Wed Jun 18 11:57:47 2025 max relations containing the same ideal: 184
  54. Wed Jun 18 11:59:14 2025 removing 5392802 relations and 3392802 ideals in 2000000 cliques
  55. Wed Jun 18 11:59:22 2025 commencing in-memory singleton removal
  56. Wed Jun 18 11:59:25 2025 begin with 217136747 relations and 138347069 unique ideals
  57. Wed Jun 18 11:59:33 2025 reduce to 217025726 relations and 134842122 ideals in 6 passes
  58. Wed Jun 18 11:59:33 2025 max relations containing the same ideal: 180
  59. Wed Jun 18 12:01:14 2025 removing 5197743 relations and 3197743 ideals in 2000000 cliques
  60. Wed Jun 18 12:01:23 2025 commencing in-memory singleton removal
  61. Wed Jun 18 12:01:26 2025 begin with 211827983 relations and 134842122 unique ideals
  62. Wed Jun 18 12:01:33 2025 reduce to 211729687 relations and 131545194 ideals in 5 passes
  63. Wed Jun 18 12:01:33 2025 max relations containing the same ideal: 178
  64. Wed Jun 18 12:02:58 2025 removing 5066393 relations and 3066393 ideals in 2000000 cliques
  65. Wed Jun 18 12:03:08 2025 commencing in-memory singleton removal
  66. Wed Jun 18 12:03:11 2025 begin with 206663294 relations and 131545194 unique ideals
  67. Wed Jun 18 12:03:18 2025 reduce to 206573678 relations and 128388328 ideals in 5 passes
  68. Wed Jun 18 12:03:18 2025 max relations containing the same ideal: 175
  69. Wed Jun 18 12:04:43 2025 removing 4973705 relations and 2973705 ideals in 2000000 cliques
  70. Wed Jun 18 12:04:54 2025 commencing in-memory singleton removal
  71. Wed Jun 18 12:04:56 2025 begin with 201599973 relations and 128388328 unique ideals
  72. Wed Jun 18 12:05:03 2025 reduce to 201516632 relations and 125330439 ideals in 5 passes
  73. Wed Jun 18 12:05:03 2025 max relations containing the same ideal: 174
  74. Wed Jun 18 12:06:38 2025 removing 4899765 relations and 2899765 ideals in 2000000 cliques
  75. Wed Jun 18 12:06:46 2025 commencing in-memory singleton removal
  76. Wed Jun 18 12:06:48 2025 begin with 196616867 relations and 125330439 unique ideals
  77. Wed Jun 18 12:06:55 2025 reduce to 196537338 relations and 122350373 ideals in 5 passes
  78. Wed Jun 18 12:06:55 2025 max relations containing the same ideal: 172
  79. Wed Jun 18 12:08:17 2025 removing 4838070 relations and 2838070 ideals in 2000000 cliques
  80. Wed Jun 18 12:08:24 2025 commencing in-memory singleton removal
  81. Wed Jun 18 12:08:26 2025 begin with 191699268 relations and 122350373 unique ideals
  82. Wed Jun 18 12:08:33 2025 reduce to 191623206 relations and 119435454 ideals in 5 passes
  83. Wed Jun 18 12:08:33 2025 max relations containing the same ideal: 168
  84. Wed Jun 18 12:09:59 2025 removing 4787720 relations and 2787720 ideals in 2000000 cliques
  85. Wed Jun 18 12:10:05 2025 commencing in-memory singleton removal
  86. Wed Jun 18 12:10:08 2025 begin with 186835486 relations and 119435454 unique ideals
  87. Wed Jun 18 12:10:14 2025 reduce to 186761336 relations and 116572775 ideals in 5 passes
  88. Wed Jun 18 12:10:14 2025 max relations containing the same ideal: 166
  89. Wed Jun 18 12:11:39 2025 removing 4744353 relations and 2744353 ideals in 2000000 cliques
  90. Wed Jun 18 12:11:47 2025 commencing in-memory singleton removal
  91. Wed Jun 18 12:11:49 2025 begin with 182016983 relations and 116572775 unique ideals
  92. Wed Jun 18 12:11:55 2025 reduce to 181945037 relations and 113755694 ideals in 5 passes
  93. Wed Jun 18 12:11:55 2025 max relations containing the same ideal: 163
  94. Wed Jun 18 12:13:06 2025 removing 4706281 relations and 2706281 ideals in 2000000 cliques
  95. Wed Jun 18 12:13:11 2025 commencing in-memory singleton removal
  96. Wed Jun 18 12:13:14 2025 begin with 177238756 relations and 113755694 unique ideals
  97. Wed Jun 18 12:13:19 2025 reduce to 177168105 relations and 110977952 ideals in 5 passes
  98. Wed Jun 18 12:13:19 2025 max relations containing the same ideal: 160
  99. Wed Jun 18 12:14:28 2025 removing 4674168 relations and 2674168 ideals in 2000000 cliques
  100. Wed Jun 18 12:14:34 2025 commencing in-memory singleton removal
  101. Wed Jun 18 12:14:36 2025 begin with 172493937 relations and 110977952 unique ideals
  102. Wed Jun 18 12:14:42 2025 reduce to 172424636 relations and 108233705 ideals in 5 passes
  103. Wed Jun 18 12:14:42 2025 max relations containing the same ideal: 159
  104. Wed Jun 18 12:15:45 2025 removing 4647576 relations and 2647576 ideals in 2000000 cliques
  105. Wed Jun 18 12:15:50 2025 commencing in-memory singleton removal
  106. Wed Jun 18 12:15:52 2025 begin with 167777060 relations and 108233705 unique ideals
  107. Wed Jun 18 12:15:57 2025 reduce to 167708377 relations and 105516669 ideals in 5 passes
  108. Wed Jun 18 12:15:57 2025 max relations containing the same ideal: 155
  109. Wed Jun 18 12:17:04 2025 removing 4621058 relations and 2621058 ideals in 2000000 cliques
  110. Wed Jun 18 12:17:11 2025 commencing in-memory singleton removal
  111. Wed Jun 18 12:17:13 2025 begin with 163087319 relations and 105516669 unique ideals
  112. Wed Jun 18 12:17:18 2025 reduce to 163018775 relations and 102826223 ideals in 5 passes
  113. Wed Jun 18 12:17:18 2025 max relations containing the same ideal: 152
  114. Wed Jun 18 12:18:35 2025 removing 4597819 relations and 2597819 ideals in 2000000 cliques
  115. Wed Jun 18 12:18:42 2025 commencing in-memory singleton removal
  116. Wed Jun 18 12:18:44 2025 begin with 158420956 relations and 102826223 unique ideals
  117. Wed Jun 18 12:18:49 2025 reduce to 158352701 relations and 100159328 ideals in 5 passes
  118. Wed Jun 18 12:18:49 2025 max relations containing the same ideal: 149
  119. Wed Jun 18 12:19:53 2025 removing 4576858 relations and 2576858 ideals in 2000000 cliques
  120. Wed Jun 18 12:20:02 2025 commencing in-memory singleton removal
  121. Wed Jun 18 12:20:03 2025 begin with 153775843 relations and 100159328 unique ideals
  122. Wed Jun 18 12:20:08 2025 reduce to 153707618 relations and 97513369 ideals in 5 passes
  123. Wed Jun 18 12:20:08 2025 max relations containing the same ideal: 146
  124. Wed Jun 18 12:21:01 2025 removing 4557839 relations and 2557839 ideals in 2000000 cliques
  125. Wed Jun 18 12:21:07 2025 commencing in-memory singleton removal
  126. Wed Jun 18 12:21:09 2025 begin with 149149779 relations and 97513369 unique ideals
  127. Wed Jun 18 12:21:14 2025 reduce to 149080464 relations and 94885322 ideals in 5 passes
  128. Wed Jun 18 12:21:14 2025 max relations containing the same ideal: 145
  129. Wed Jun 18 12:22:11 2025 removing 4537955 relations and 2537955 ideals in 2000000 cliques
  130. Wed Jun 18 12:22:16 2025 commencing in-memory singleton removal
  131. Wed Jun 18 12:22:18 2025 begin with 144542509 relations and 94885322 unique ideals
  132. Wed Jun 18 12:22:23 2025 reduce to 144472967 relations and 92276877 ideals in 6 passes
  133. Wed Jun 18 12:22:23 2025 max relations containing the same ideal: 142
  134. Wed Jun 18 12:23:17 2025 removing 4523931 relations and 2523931 ideals in 2000000 cliques
  135. Wed Jun 18 12:23:22 2025 commencing in-memory singleton removal
  136. Wed Jun 18 12:23:24 2025 begin with 139949036 relations and 92276877 unique ideals
  137. Wed Jun 18 12:23:28 2025 reduce to 139878433 relations and 89681432 ideals in 4 passes
  138. Wed Jun 18 12:23:28 2025 max relations containing the same ideal: 138
  139. Wed Jun 18 12:24:21 2025 removing 4510181 relations and 2510181 ideals in 2000000 cliques
  140. Wed Jun 18 12:24:26 2025 commencing in-memory singleton removal
  141. Wed Jun 18 12:24:27 2025 begin with 135368252 relations and 89681432 unique ideals
  142. Wed Jun 18 12:24:31 2025 reduce to 135296741 relations and 87098781 ideals in 5 passes
  143. Wed Jun 18 12:24:31 2025 max relations containing the same ideal: 138
  144. Wed Jun 18 12:25:24 2025 removing 4497450 relations and 2497450 ideals in 2000000 cliques
  145. Wed Jun 18 12:25:28 2025 commencing in-memory singleton removal
  146. Wed Jun 18 12:25:30 2025 begin with 130799291 relations and 87098781 unique ideals
  147. Wed Jun 18 12:25:34 2025 reduce to 130726185 relations and 84527285 ideals in 5 passes
  148. Wed Jun 18 12:25:34 2025 max relations containing the same ideal: 136
  149. Wed Jun 18 12:26:26 2025 removing 4486791 relations and 2486791 ideals in 2000000 cliques
  150. Wed Jun 18 12:26:31 2025 commencing in-memory singleton removal
  151. Wed Jun 18 12:26:33 2025 begin with 126239394 relations and 84527285 unique ideals
  152. Wed Jun 18 12:26:37 2025 reduce to 126164718 relations and 81964826 ideals in 5 passes
  153. Wed Jun 18 12:26:37 2025 max relations containing the same ideal: 130
  154. Wed Jun 18 12:27:35 2025 removing 4476696 relations and 2476696 ideals in 2000000 cliques
  155. Wed Jun 18 12:27:39 2025 commencing in-memory singleton removal
  156. Wed Jun 18 12:27:40 2025 begin with 121688022 relations and 81964826 unique ideals
  157. Wed Jun 18 12:27:44 2025 reduce to 121611110 relations and 79410092 ideals in 5 passes
  158. Wed Jun 18 12:27:44 2025 max relations containing the same ideal: 126
  159. Wed Jun 18 12:28:43 2025 removing 4468152 relations and 2468152 ideals in 2000000 cliques
  160. Wed Jun 18 12:28:48 2025 commencing in-memory singleton removal
  161. Wed Jun 18 12:28:49 2025 begin with 117142958 relations and 79410092 unique ideals
  162. Wed Jun 18 12:28:53 2025 reduce to 117062995 relations and 76860844 ideals in 5 passes
  163. Wed Jun 18 12:28:53 2025 max relations containing the same ideal: 122
  164. Wed Jun 18 12:29:35 2025 removing 4463846 relations and 2463846 ideals in 2000000 cliques
  165. Wed Jun 18 12:29:40 2025 commencing in-memory singleton removal
  166. Wed Jun 18 12:29:41 2025 begin with 112599149 relations and 76860844 unique ideals
  167. Wed Jun 18 12:29:45 2025 reduce to 112516346 relations and 74312952 ideals in 5 passes
  168. Wed Jun 18 12:29:45 2025 max relations containing the same ideal: 118
  169. Wed Jun 18 12:30:27 2025 removing 4458241 relations and 2458241 ideals in 2000000 cliques
  170. Wed Jun 18 12:30:31 2025 commencing in-memory singleton removal
  171. Wed Jun 18 12:30:33 2025 begin with 108058105 relations and 74312952 unique ideals
  172. Wed Jun 18 12:30:36 2025 reduce to 107971966 relations and 71767256 ideals in 5 passes
  173. Wed Jun 18 12:30:36 2025 max relations containing the same ideal: 115
  174. Wed Jun 18 12:31:14 2025 removing 4455391 relations and 2455391 ideals in 2000000 cliques
  175. Wed Jun 18 12:31:19 2025 commencing in-memory singleton removal
  176. Wed Jun 18 12:31:20 2025 begin with 103516575 relations and 71767256 unique ideals
  177. Wed Jun 18 12:31:24 2025 reduce to 103425618 relations and 69219524 ideals in 5 passes
  178. Wed Jun 18 12:31:24 2025 max relations containing the same ideal: 115
  179. Wed Jun 18 12:31:58 2025 removing 4454775 relations and 2454775 ideals in 2000000 cliques
  180. Wed Jun 18 12:32:02 2025 commencing in-memory singleton removal
  181. Wed Jun 18 12:32:03 2025 begin with 98970843 relations and 69219524 unique ideals
  182. Wed Jun 18 12:32:06 2025 reduce to 98874611 relations and 66666912 ideals in 5 passes
  183. Wed Jun 18 12:32:06 2025 max relations containing the same ideal: 114
  184. Wed Jun 18 12:32:42 2025 removing 4456357 relations and 2456357 ideals in 2000000 cliques
  185. Wed Jun 18 12:32:46 2025 commencing in-memory singleton removal
  186. Wed Jun 18 12:32:47 2025 begin with 94418254 relations and 66666912 unique ideals
  187. Wed Jun 18 12:32:50 2025 reduce to 94317096 relations and 64107732 ideals in 6 passes
  188. Wed Jun 18 12:32:50 2025 max relations containing the same ideal: 110
  189. Wed Jun 18 12:33:25 2025 removing 4463021 relations and 2463021 ideals in 2000000 cliques
  190. Wed Jun 18 12:33:29 2025 commencing in-memory singleton removal
  191. Wed Jun 18 12:33:30 2025 begin with 89854075 relations and 64107732 unique ideals
  192. Wed Jun 18 12:33:33 2025 reduce to 89744669 relations and 61533428 ideals in 5 passes
  193. Wed Jun 18 12:33:33 2025 max relations containing the same ideal: 104
  194. Wed Jun 18 12:34:08 2025 removing 4468007 relations and 2468007 ideals in 2000000 cliques
  195. Wed Jun 18 12:34:12 2025 commencing in-memory singleton removal
  196. Wed Jun 18 12:34:13 2025 begin with 85276662 relations and 61533428 unique ideals
  197. Wed Jun 18 12:34:15 2025 reduce to 85160213 relations and 58946853 ideals in 5 passes
  198. Wed Jun 18 12:34:15 2025 max relations containing the same ideal: 99
  199. Wed Jun 18 12:34:42 2025 removing 4478215 relations and 2478215 ideals in 2000000 cliques
  200. Wed Jun 18 12:34:45 2025 commencing in-memory singleton removal
  201. Wed Jun 18 12:34:46 2025 begin with 80681998 relations and 58946853 unique ideals
  202. Wed Jun 18 12:34:48 2025 reduce to 80554695 relations and 56338967 ideals in 5 passes
  203. Wed Jun 18 12:34:48 2025 max relations containing the same ideal: 94
  204. Wed Jun 18 12:35:15 2025 removing 4493690 relations and 2493690 ideals in 2000000 cliques
  205. Wed Jun 18 12:35:19 2025 commencing in-memory singleton removal
  206. Wed Jun 18 12:35:19 2025 begin with 76061005 relations and 56338967 unique ideals
  207. Wed Jun 18 12:35:22 2025 reduce to 75922158 relations and 53703564 ideals in 5 passes
  208. Wed Jun 18 12:35:22 2025 max relations containing the same ideal: 91
  209. Wed Jun 18 12:35:50 2025 removing 4515012 relations and 2515012 ideals in 2000000 cliques
  210. Wed Jun 18 12:35:53 2025 commencing in-memory singleton removal
  211. Wed Jun 18 12:35:54 2025 begin with 71407146 relations and 53703564 unique ideals
  212. Wed Jun 18 12:35:56 2025 reduce to 71254071 relations and 51032239 ideals in 5 passes
  213. Wed Jun 18 12:35:56 2025 max relations containing the same ideal: 87
  214. Wed Jun 18 12:36:24 2025 removing 4543346 relations and 2543346 ideals in 2000000 cliques
  215. Wed Jun 18 12:36:27 2025 commencing in-memory singleton removal
  216. Wed Jun 18 12:36:28 2025 begin with 66710725 relations and 51032239 unique ideals
  217. Wed Jun 18 12:36:30 2025 reduce to 66541835 relations and 48316134 ideals in 5 passes
  218. Wed Jun 18 12:36:30 2025 max relations containing the same ideal: 83
  219. Wed Jun 18 12:36:56 2025 removing 4579197 relations and 2579197 ideals in 2000000 cliques
  220. Wed Jun 18 12:36:59 2025 commencing in-memory singleton removal
  221. Wed Jun 18 12:37:00 2025 begin with 61962638 relations and 48316134 unique ideals
  222. Wed Jun 18 12:37:02 2025 reduce to 61771943 relations and 45541620 ideals in 6 passes
  223. Wed Jun 18 12:37:02 2025 max relations containing the same ideal: 78
  224. Wed Jun 18 12:37:28 2025 removing 4625540 relations and 2625540 ideals in 2000000 cliques
  225. Wed Jun 18 12:37:32 2025 commencing in-memory singleton removal
  226. Wed Jun 18 12:37:32 2025 begin with 57146403 relations and 45541620 unique ideals
  227. Wed Jun 18 12:37:34 2025 reduce to 56930088 relations and 42694170 ideals in 6 passes
  228. Wed Jun 18 12:37:34 2025 max relations containing the same ideal: 76
  229. Wed Jun 18 12:37:57 2025 removing 4687817 relations and 2687817 ideals in 2000000 cliques
  230. Wed Jun 18 12:38:00 2025 commencing in-memory singleton removal
  231. Wed Jun 18 12:38:01 2025 begin with 52242271 relations and 42694170 unique ideals
  232. Wed Jun 18 12:38:03 2025 reduce to 51992715 relations and 39749643 ideals in 7 passes
  233. Wed Jun 18 12:38:03 2025 max relations containing the same ideal: 71
  234. Wed Jun 18 12:38:28 2025 removing 4765159 relations and 2765159 ideals in 2000000 cliques
  235. Wed Jun 18 12:38:31 2025 commencing in-memory singleton removal
  236. Wed Jun 18 12:38:32 2025 begin with 47227556 relations and 39749643 unique ideals
  237. Wed Jun 18 12:38:33 2025 reduce to 46935490 relations and 36683496 ideals in 6 passes
  238. Wed Jun 18 12:38:33 2025 max relations containing the same ideal: 66
  239. Wed Jun 18 12:38:58 2025 removing 4863995 relations and 2863995 ideals in 2000000 cliques
  240. Wed Jun 18 12:39:02 2025 commencing in-memory singleton removal
  241. Wed Jun 18 12:39:02 2025 begin with 42071495 relations and 36683496 unique ideals
  242. Wed Jun 18 12:39:03 2025 reduce to 41725755 relations and 33461736 ideals in 6 passes
  243. Wed Jun 18 12:39:03 2025 max relations containing the same ideal: 63
  244. Wed Jun 18 12:39:25 2025 removing 4996552 relations and 2996552 ideals in 2000000 cliques
  245. Wed Jun 18 12:39:28 2025 commencing in-memory singleton removal
  246. Wed Jun 18 12:39:29 2025 begin with 36729203 relations and 33461736 unique ideals
  247. Wed Jun 18 12:39:30 2025 reduce to 36306936 relations and 30026391 ideals in 7 passes
  248. Wed Jun 18 12:39:30 2025 max relations containing the same ideal: 59
  249. Wed Jun 18 12:39:47 2025 removing 5168013 relations and 3168013 ideals in 2000000 cliques
  250. Wed Jun 18 12:39:49 2025 commencing in-memory singleton removal
  251. Wed Jun 18 12:39:50 2025 begin with 31138923 relations and 30026391 unique ideals
  252. Wed Jun 18 12:39:51 2025 reduce to 30604804 relations and 26299824 ideals in 8 passes
  253. Wed Jun 18 12:39:51 2025 max relations containing the same ideal: 51
  254. Wed Jun 18 12:40:04 2025 removing 5391784 relations and 3391784 ideals in 2000000 cliques
  255. Wed Jun 18 12:40:06 2025 commencing in-memory singleton removal
  256. Wed Jun 18 12:40:06 2025 begin with 25213020 relations and 26299824 unique ideals
  257. Wed Jun 18 12:40:07 2025 reduce to 24497951 relations and 22154128 ideals in 8 passes
  258. Wed Jun 18 12:40:07 2025 max relations containing the same ideal: 43
  259. Wed Jun 18 12:40:18 2025 removing 2159368 relations and 1527487 ideals in 631881 cliques
  260. Wed Jun 18 12:40:19 2025 commencing in-memory singleton removal
  261. Wed Jun 18 12:40:19 2025 begin with 22338583 relations and 22154128 unique ideals
  262. Wed Jun 18 12:40:20 2025 reduce to 22130147 relations and 20412828 ideals in 7 passes
  263. Wed Jun 18 12:40:20 2025 max relations containing the same ideal: 41
  264. Wed Jun 18 12:40:34 2025 relations with 0 large ideals: 6973
  265. Wed Jun 18 12:40:34 2025 relations with 1 large ideals: 93615
  266. Wed Jun 18 12:40:34 2025 relations with 2 large ideals: 810187
  267. Wed Jun 18 12:40:34 2025 relations with 3 large ideals: 2978527
  268. Wed Jun 18 12:40:34 2025 relations with 4 large ideals: 5684523
  269. Wed Jun 18 12:40:34 2025 relations with 5 large ideals: 6209161
  270. Wed Jun 18 12:40:34 2025 relations with 6 large ideals: 4134661
  271. Wed Jun 18 12:40:34 2025 relations with 7+ large ideals: 2212500
  272. Wed Jun 18 12:40:34 2025 commencing 2-way merge
  273. Wed Jun 18 12:40:49 2025 reduce to 14496341 relation sets and 12779022 unique ideals
  274. Wed Jun 18 12:40:49 2025 commencing full merge
  275. Wed Jun 18 12:47:57 2025 memory use: 1549.0 MB
  276. Wed Jun 18 12:47:59 2025 found 6241956 cycles, need 6109222
  277. Wed Jun 18 12:48:01 2025 weight of 6109222 cycles is about 856258318 (140.16/cycle)
  278. Wed Jun 18 12:48:01 2025 distribution of cycle lengths:
  279. Wed Jun 18 12:48:01 2025 1 relations: 180289
  280. Wed Jun 18 12:48:01 2025 2 relations: 285528
  281. Wed Jun 18 12:48:01 2025 3 relations: 347838
  282. Wed Jun 18 12:48:01 2025 4 relations: 376536
  283. Wed Jun 18 12:48:01 2025 5 relations: 409174
  284. Wed Jun 18 12:48:01 2025 6 relations: 424657
  285. Wed Jun 18 12:48:01 2025 7 relations: 431825
  286. Wed Jun 18 12:48:01 2025 8 relations: 423920
  287. Wed Jun 18 12:48:01 2025 9 relations: 409491
  288. Wed Jun 18 12:48:01 2025 10+ relations: 2819964
  289. Wed Jun 18 12:48:01 2025 heaviest cycle: 27 relations
  290. Wed Jun 18 12:48:04 2025 commencing cycle optimization
  291. Wed Jun 18 12:48:20 2025 start with 58975697 relations
  292. Wed Jun 18 12:51:13 2025 pruned 3460214 relations
  293. Wed Jun 18 12:51:13 2025 memory use: 1495.0 MB
  294. Wed Jun 18 12:51:13 2025 distribution of cycle lengths:
  295. Wed Jun 18 12:51:13 2025 1 relations: 180289
  296. Wed Jun 18 12:51:13 2025 2 relations: 294237
  297. Wed Jun 18 12:51:13 2025 3 relations: 365204
  298. Wed Jun 18 12:51:13 2025 4 relations: 397037
  299. Wed Jun 18 12:51:13 2025 5 relations: 436706
  300. Wed Jun 18 12:51:13 2025 6 relations: 454322
  301. Wed Jun 18 12:51:13 2025 7 relations: 465517
  302. Wed Jun 18 12:51:13 2025 8 relations: 457185
  303. Wed Jun 18 12:51:13 2025 9 relations: 441951
  304. Wed Jun 18 12:51:13 2025 10+ relations: 2616774
  305. Wed Jun 18 12:51:13 2025 heaviest cycle: 27 relations
  306. Wed Jun 18 12:51:25 2025 RelProcTime: 6035
  307. Wed Jun 18 12:51:25 2025
  308. Wed Jun 18 12:51:25 2025 commencing linear algebra
  309. Wed Jun 18 12:51:25 2025 using VBITS=256
  310. Wed Jun 18 12:51:25 2025 initialized process (0,0) of 1 x 1 grid
  311. Wed Jun 18 12:51:25 2025 reversing signs of algebraic polynomial
  312. Wed Jun 18 12:51:26 2025 read 6109222 cycles
  313. Wed Jun 18 12:51:39 2025 cycles contain 21294066 unique relations
  314. Wed Jun 18 12:56:45 2025 read 21294066 relations
  315. Wed Jun 18 12:56:46 2025 using 20 quadratic characters above 4294917295
  316. Wed Jun 18 12:56:49 2025 building initial matrix
  317. Wed Jun 18 13:03:44 2025 memory use: 2996.7 MB
  318. Wed Jun 18 13:03:51 2025 read 6109222 cycles
  319. Wed Jun 18 13:03:52 2025 matrix is 6109044 x 6109222 (3248.8 MB) with weight 983137546 (160.93/col)
  320. Wed Jun 18 13:03:52 2025 sparse part has weight 778342355 (127.40/col)
  321. Wed Jun 18 13:05:38 2025 filtering completed in 2 passes
  322. Wed Jun 18 13:05:39 2025 matrix is 6108625 x 6108803 (3248.7 MB) with weight 983107852 (160.93/col)
  323. Wed Jun 18 13:05:39 2025 sparse part has weight 778327208 (127.41/col)
  324. Wed Jun 18 13:06:16 2025 matrix starts at (0, 0)
  325. Wed Jun 18 13:06:17 2025 matrix is 6108625 x 6108803 (3248.7 MB) with weight 983107852 (160.93/col)
  326. Wed Jun 18 13:06:17 2025 sparse part has weight 778327208 (127.41/col)
  327. Wed Jun 18 13:06:17 2025 saving the first 240 matrix rows for later
  328. Wed Jun 18 13:06:19 2025 matrix includes 256 packed rows
  329. Wed Jun 18 13:06:20 2025 matrix is 6108385 x 6108803 (2893.7 MB) with weight 707676346 (115.85/col)
  330. Wed Jun 18 13:06:20 2025 sparse part has weight 660820057 (108.18/col)
  331. Wed Jun 18 13:06:20 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  332. Wed Jun 18 13:06:34 2025 commencing Lanczos iteration (64 threads)
  333. Wed Jun 18 13:06:34 2025 memory use: 4019.0 MB
  334. Wed Jun 18 13:07:32 2025 linear algebra at 0.5%, ETA 3h 8m
  335. Wed Jun 18 13:08:52 2025 checking every 30000 dimensions, checkpointing every 2040000 dimensions
  336. Wed Jun 18 16:01:12 2025 lanczos halted after 23934 iterations (dim = 6108384)
  337. Wed Jun 18 16:01:38 2025 recovered 28 nontrivial dependencies
  338. Wed Jun 18 16:01:38 2025 BLanczosTime: 11413
  339. Wed Jun 18 16:01:38 2025
  340. Wed Jun 18 16:01:38 2025 commencing square root phase
  341. Wed Jun 18 16:01:38 2025 reversing signs of algebraic polynomial
  342. Wed Jun 18 16:01:38 2025 handling dependencies 1 to 64
  343. Wed Jun 18 16:01:38 2025 reading relations for dependency 1
  344. Wed Jun 18 16:01:39 2025 read 3053668 cycles
  345. Wed Jun 18 16:01:43 2025 cycles contain 10646738 unique relations
  346. Wed Jun 18 16:06:02 2025 read 10646738 relations
  347. Wed Jun 18 16:06:40 2025 multiplying 10646738 relations
  348. Wed Jun 18 16:07:40 2025 multiply complete, coefficients have about 597.11 million bits
  349. Wed Jun 18 16:07:42 2025 initial square root is modulo 227531
  350. Wed Jun 18 16:10:49 2025 sqrtTime: 551
  351. Wed Jun 18 16:10:49 2025 p57 factor: 287978996848520602983534406620233984300034266200259244161
  352. Wed Jun 18 16:10:49 2025 p115 factor: 1546035018087879628734171631068741327308759263493553690746736391033049756527628574828760512850222806741516964426397
  353. Wed Jun 18 16:10:49 2025 elapsed time 05:00:00
  354.  
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