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Jun 20th, 2025
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  1. Thu Jun 19 17:27:28 2025
  2. Thu Jun 19 17:27:28 2025
  3. Thu Jun 19 17:27:28 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 19 17:27:28 2025 random seeds: 966644cf 9ab17aaa
  5. Thu Jun 19 17:27:28 2025 MPI process 0 of 1
  6. Thu Jun 19 17:27:28 2025 Using 64 OpenMP threads
  7. Thu Jun 19 17:27:28 2025 factoring 300263784340118040190337380994744574190059434414558675214888472370079189892220206459857477778694770454238965909124745387615865637872434688488436712188593528415938619503777 (171 digits)
  8. Thu Jun 19 17:27:29 2025 searching for 15-digit factors
  9. Thu Jun 19 17:27:29 2025 commencing number field sieve (171-digit input)
  10. Thu Jun 19 17:27:29 2025 R0: -1302104311547899986336782495940462
  11. Thu Jun 19 17:27:29 2025 R1: 15906202124591903279727767
  12. Thu Jun 19 17:27:29 2025 A0: -150871020317763367851717514090530239827795
  13. Thu Jun 19 17:27:29 2025 A1: -130886924262640952359308852167378831
  14. Thu Jun 19 17:27:29 2025 A2: 874476560198460659465008204
  15. Thu Jun 19 17:27:29 2025 A3: 951239334078990359
  16. Thu Jun 19 17:27:29 2025 A4: -2203871087961
  17. Thu Jun 19 17:27:29 2025 A5: 108360
  18. Thu Jun 19 17:27:29 2025 skew 30412301.15, size 1.373e-16, alpha -7.726, combined = 3.492e-13 rroots = 3
  19. Thu Jun 19 17:27:29 2025
  20. Thu Jun 19 17:27:29 2025 commencing relation filtering
  21. Thu Jun 19 17:27:29 2025 setting target matrix density to 140.0
  22. Thu Jun 19 17:27:29 2025 estimated available RAM is 257736.5 MB
  23. Thu Jun 19 17:27:29 2025 commencing duplicate removal, pass 1
  24. Thu Jun 19 17:38:12 2025 skipped 2 relations with composite factors
  25. Thu Jun 19 17:38:12 2025 skipped 734 malformed relations
  26. Thu Jun 19 17:38:12 2025 found 71607822 hash collisions in 348640216 relations
  27. Thu Jun 19 17:38:40 2025 added 121846 free relations
  28. Thu Jun 19 17:38:40 2025 commencing duplicate removal, pass 2
  29. Thu Jun 19 17:46:32 2025 found 75586414 duplicates and 273175648 unique relations
  30. Thu Jun 19 17:46:32 2025 memory use: 1705.5 MB
  31. Thu Jun 19 17:46:32 2025 reading ideals above 720000
  32. Thu Jun 19 17:46:33 2025 commencing singleton removal, initial pass
  33. Thu Jun 19 18:06:41 2025 memory use: 5512.0 MB
  34. Thu Jun 19 18:06:41 2025 reading all ideals from disk
  35. Thu Jun 19 18:06:48 2025 memory use: 12890.3 MB
  36. Thu Jun 19 18:07:37 2025 keeping 190232463 ideals with weight <= 200, target excess is 1430263
  37. Thu Jun 19 18:08:41 2025 commencing in-memory singleton removal
  38. Thu Jun 19 18:08:45 2025 begin with 273175648 relations and 190232463 unique ideals
  39. Thu Jun 19 18:08:59 2025 reduce to 231587096 relations and 146627487 ideals in 10 passes
  40. Thu Jun 19 18:08:59 2025 max relations containing the same ideal: 190
  41. Thu Jun 19 18:10:26 2025 removing 7224500 relations and 5224500 ideals in 2000000 cliques
  42. Thu Jun 19 18:10:35 2025 commencing in-memory singleton removal
  43. Thu Jun 19 18:10:38 2025 begin with 224362596 relations and 146627487 unique ideals
  44. Thu Jun 19 18:10:47 2025 reduce to 224153047 relations and 141190853 ideals in 6 passes
  45. Thu Jun 19 18:10:47 2025 max relations containing the same ideal: 186
  46. Thu Jun 19 18:12:11 2025 removing 5811746 relations and 3811746 ideals in 2000000 cliques
  47. Thu Jun 19 18:12:20 2025 commencing in-memory singleton removal
  48. Thu Jun 19 18:12:22 2025 begin with 218341301 relations and 141190853 unique ideals
  49. Thu Jun 19 18:12:30 2025 reduce to 218202573 relations and 137238908 ideals in 5 passes
  50. Thu Jun 19 18:12:30 2025 max relations containing the same ideal: 186
  51. Thu Jun 19 18:13:52 2025 removing 5441357 relations and 3441357 ideals in 2000000 cliques
  52. Thu Jun 19 18:13:59 2025 commencing in-memory singleton removal
  53. Thu Jun 19 18:14:02 2025 begin with 212761216 relations and 137238908 unique ideals
  54. Thu Jun 19 18:14:09 2025 reduce to 212645764 relations and 133680925 ideals in 6 passes
  55. Thu Jun 19 18:14:09 2025 max relations containing the same ideal: 185
  56. Thu Jun 19 18:15:24 2025 removing 5240950 relations and 3240950 ideals in 2000000 cliques
  57. Thu Jun 19 18:15:31 2025 commencing in-memory singleton removal
  58. Thu Jun 19 18:15:33 2025 begin with 207404814 relations and 133680925 unique ideals
  59. Thu Jun 19 18:15:40 2025 reduce to 207302943 relations and 130337092 ideals in 5 passes
  60. Thu Jun 19 18:15:40 2025 max relations containing the same ideal: 178
  61. Thu Jun 19 18:16:52 2025 removing 5107875 relations and 3107875 ideals in 2000000 cliques
  62. Thu Jun 19 18:16:59 2025 commencing in-memory singleton removal
  63. Thu Jun 19 18:17:02 2025 begin with 202195068 relations and 130337092 unique ideals
  64. Thu Jun 19 18:17:09 2025 reduce to 202101088 relations and 127134288 ideals in 5 passes
  65. Thu Jun 19 18:17:09 2025 max relations containing the same ideal: 175
  66. Thu Jun 19 18:18:39 2025 removing 5009930 relations and 3009930 ideals in 2000000 cliques
  67. Thu Jun 19 18:18:46 2025 commencing in-memory singleton removal
  68. Thu Jun 19 18:18:49 2025 begin with 197091158 relations and 127134288 unique ideals
  69. Thu Jun 19 18:18:55 2025 reduce to 197004010 relations and 124036313 ideals in 5 passes
  70. Thu Jun 19 18:18:55 2025 max relations containing the same ideal: 173
  71. Thu Jun 19 18:20:01 2025 removing 4934518 relations and 2934518 ideals in 2000000 cliques
  72. Thu Jun 19 18:20:07 2025 commencing in-memory singleton removal
  73. Thu Jun 19 18:20:09 2025 begin with 192069492 relations and 124036313 unique ideals
  74. Thu Jun 19 18:20:15 2025 reduce to 191985872 relations and 121017279 ideals in 5 passes
  75. Thu Jun 19 18:20:15 2025 max relations containing the same ideal: 171
  76. Thu Jun 19 18:21:29 2025 removing 4873393 relations and 2873393 ideals in 2000000 cliques
  77. Thu Jun 19 18:21:35 2025 commencing in-memory singleton removal
  78. Thu Jun 19 18:21:37 2025 begin with 187112479 relations and 121017279 unique ideals
  79. Thu Jun 19 18:21:43 2025 reduce to 187032450 relations and 118062961 ideals in 5 passes
  80. Thu Jun 19 18:21:43 2025 max relations containing the same ideal: 169
  81. Thu Jun 19 18:22:55 2025 removing 4821395 relations and 2821395 ideals in 2000000 cliques
  82. Thu Jun 19 18:23:01 2025 commencing in-memory singleton removal
  83. Thu Jun 19 18:23:03 2025 begin with 182211055 relations and 118062961 unique ideals
  84. Thu Jun 19 18:23:09 2025 reduce to 182133072 relations and 115162707 ideals in 5 passes
  85. Thu Jun 19 18:23:09 2025 max relations containing the same ideal: 167
  86. Thu Jun 19 18:24:13 2025 removing 4778729 relations and 2778729 ideals in 2000000 cliques
  87. Thu Jun 19 18:24:19 2025 commencing in-memory singleton removal
  88. Thu Jun 19 18:24:21 2025 begin with 177354343 relations and 115162707 unique ideals
  89. Thu Jun 19 18:24:26 2025 reduce to 177277683 relations and 112306416 ideals in 5 passes
  90. Thu Jun 19 18:24:26 2025 max relations containing the same ideal: 162
  91. Thu Jun 19 18:25:31 2025 removing 4741761 relations and 2741761 ideals in 2000000 cliques
  92. Thu Jun 19 18:25:37 2025 commencing in-memory singleton removal
  93. Thu Jun 19 18:25:39 2025 begin with 172535922 relations and 112306416 unique ideals
  94. Thu Jun 19 18:25:45 2025 reduce to 172460875 relations and 109488755 ideals in 5 passes
  95. Thu Jun 19 18:25:45 2025 max relations containing the same ideal: 159
  96. Thu Jun 19 18:26:48 2025 removing 4709028 relations and 2709028 ideals in 2000000 cliques
  97. Thu Jun 19 18:26:54 2025 commencing in-memory singleton removal
  98. Thu Jun 19 18:26:56 2025 begin with 167751847 relations and 109488755 unique ideals
  99. Thu Jun 19 18:27:01 2025 reduce to 167677709 relations and 106704648 ideals in 5 passes
  100. Thu Jun 19 18:27:01 2025 max relations containing the same ideal: 157
  101. Thu Jun 19 18:27:58 2025 removing 4680073 relations and 2680073 ideals in 2000000 cliques
  102. Thu Jun 19 18:28:03 2025 commencing in-memory singleton removal
  103. Thu Jun 19 18:28:05 2025 begin with 162997636 relations and 106704648 unique ideals
  104. Thu Jun 19 18:28:10 2025 reduce to 162923803 relations and 103949850 ideals in 5 passes
  105. Thu Jun 19 18:28:10 2025 max relations containing the same ideal: 153
  106. Thu Jun 19 18:29:07 2025 removing 4655929 relations and 2655929 ideals in 2000000 cliques
  107. Thu Jun 19 18:29:12 2025 commencing in-memory singleton removal
  108. Thu Jun 19 18:29:14 2025 begin with 158267874 relations and 103949850 unique ideals
  109. Thu Jun 19 18:29:18 2025 reduce to 158194439 relations and 101219602 ideals in 5 passes
  110. Thu Jun 19 18:29:18 2025 max relations containing the same ideal: 152
  111. Thu Jun 19 18:30:13 2025 removing 4630969 relations and 2630969 ideals in 2000000 cliques
  112. Thu Jun 19 18:30:18 2025 commencing in-memory singleton removal
  113. Thu Jun 19 18:30:20 2025 begin with 153563470 relations and 101219602 unique ideals
  114. Thu Jun 19 18:30:24 2025 reduce to 153489744 relations and 98513944 ideals in 4 passes
  115. Thu Jun 19 18:30:24 2025 max relations containing the same ideal: 149
  116. Thu Jun 19 18:31:19 2025 removing 4611088 relations and 2611088 ideals in 2000000 cliques
  117. Thu Jun 19 18:31:24 2025 commencing in-memory singleton removal
  118. Thu Jun 19 18:31:26 2025 begin with 148878656 relations and 98513944 unique ideals
  119. Thu Jun 19 18:31:31 2025 reduce to 148804265 relations and 95827511 ideals in 5 passes
  120. Thu Jun 19 18:31:31 2025 max relations containing the same ideal: 148
  121. Thu Jun 19 18:32:26 2025 removing 4594153 relations and 2594153 ideals in 2000000 cliques
  122. Thu Jun 19 18:32:31 2025 commencing in-memory singleton removal
  123. Thu Jun 19 18:32:33 2025 begin with 144210112 relations and 95827511 unique ideals
  124. Thu Jun 19 18:32:37 2025 reduce to 144135449 relations and 93157702 ideals in 4 passes
  125. Thu Jun 19 18:32:37 2025 max relations containing the same ideal: 143
  126. Thu Jun 19 18:33:31 2025 removing 4576299 relations and 2576299 ideals in 2000000 cliques
  127. Thu Jun 19 18:33:36 2025 commencing in-memory singleton removal
  128. Thu Jun 19 18:33:38 2025 begin with 139559150 relations and 93157702 unique ideals
  129. Thu Jun 19 18:33:42 2025 reduce to 139484011 relations and 90505203 ideals in 5 passes
  130. Thu Jun 19 18:33:42 2025 max relations containing the same ideal: 141
  131. Thu Jun 19 18:34:40 2025 removing 4561935 relations and 2561935 ideals in 2000000 cliques
  132. Thu Jun 19 18:34:46 2025 commencing in-memory singleton removal
  133. Thu Jun 19 18:34:47 2025 begin with 134922076 relations and 90505203 unique ideals
  134. Thu Jun 19 18:34:52 2025 reduce to 134845068 relations and 87865176 ideals in 5 passes
  135. Thu Jun 19 18:34:52 2025 max relations containing the same ideal: 139
  136. Thu Jun 19 18:35:45 2025 removing 4549441 relations and 2549441 ideals in 2000000 cliques
  137. Thu Jun 19 18:35:52 2025 commencing in-memory singleton removal
  138. Thu Jun 19 18:35:54 2025 begin with 130295627 relations and 87865176 unique ideals
  139. Thu Jun 19 18:35:58 2025 reduce to 130217436 relations and 85236428 ideals in 5 passes
  140. Thu Jun 19 18:35:58 2025 max relations containing the same ideal: 138
  141. Thu Jun 19 18:36:52 2025 removing 4538197 relations and 2538197 ideals in 2000000 cliques
  142. Thu Jun 19 18:36:57 2025 commencing in-memory singleton removal
  143. Thu Jun 19 18:36:59 2025 begin with 125679239 relations and 85236428 unique ideals
  144. Thu Jun 19 18:37:03 2025 reduce to 125599033 relations and 82616843 ideals in 5 passes
  145. Thu Jun 19 18:37:03 2025 max relations containing the same ideal: 134
  146. Thu Jun 19 18:38:01 2025 removing 4529330 relations and 2529330 ideals in 2000000 cliques
  147. Thu Jun 19 18:38:07 2025 commencing in-memory singleton removal
  148. Thu Jun 19 18:38:08 2025 begin with 121069703 relations and 82616843 unique ideals
  149. Thu Jun 19 18:38:12 2025 reduce to 120986400 relations and 80003062 ideals in 5 passes
  150. Thu Jun 19 18:38:12 2025 max relations containing the same ideal: 130
  151. Thu Jun 19 18:39:06 2025 removing 4522034 relations and 2522034 ideals in 2000000 cliques
  152. Thu Jun 19 18:39:12 2025 commencing in-memory singleton removal
  153. Thu Jun 19 18:39:13 2025 begin with 116464366 relations and 80003062 unique ideals
  154. Thu Jun 19 18:39:17 2025 reduce to 116378254 relations and 77393577 ideals in 5 passes
  155. Thu Jun 19 18:39:17 2025 max relations containing the same ideal: 127
  156. Thu Jun 19 18:40:10 2025 removing 4515872 relations and 2515872 ideals in 2000000 cliques
  157. Thu Jun 19 18:40:15 2025 commencing in-memory singleton removal
  158. Thu Jun 19 18:40:16 2025 begin with 111862382 relations and 77393577 unique ideals
  159. Thu Jun 19 18:40:20 2025 reduce to 111772835 relations and 74786788 ideals in 5 passes
  160. Thu Jun 19 18:40:20 2025 max relations containing the same ideal: 123
  161. Thu Jun 19 18:41:13 2025 removing 4513846 relations and 2513846 ideals in 2000000 cliques
  162. Thu Jun 19 18:41:19 2025 commencing in-memory singleton removal
  163. Thu Jun 19 18:41:20 2025 begin with 107258989 relations and 74786788 unique ideals
  164. Thu Jun 19 18:41:23 2025 reduce to 107165269 relations and 72177808 ideals in 5 passes
  165. Thu Jun 19 18:41:23 2025 max relations containing the same ideal: 121
  166. Thu Jun 19 18:42:05 2025 removing 4509598 relations and 2509598 ideals in 2000000 cliques
  167. Thu Jun 19 18:42:12 2025 commencing in-memory singleton removal
  168. Thu Jun 19 18:42:14 2025 begin with 102655671 relations and 72177808 unique ideals
  169. Thu Jun 19 18:42:17 2025 reduce to 102558224 relations and 69569206 ideals in 5 passes
  170. Thu Jun 19 18:42:17 2025 max relations containing the same ideal: 115
  171. Thu Jun 19 18:42:57 2025 removing 4512301 relations and 2512301 ideals in 2000000 cliques
  172. Thu Jun 19 18:43:02 2025 commencing in-memory singleton removal
  173. Thu Jun 19 18:43:03 2025 begin with 98045923 relations and 69569206 unique ideals
  174. Thu Jun 19 18:43:06 2025 reduce to 97942398 relations and 66951687 ideals in 5 passes
  175. Thu Jun 19 18:43:06 2025 max relations containing the same ideal: 111
  176. Thu Jun 19 18:43:49 2025 removing 4514291 relations and 2514291 ideals in 2000000 cliques
  177. Thu Jun 19 18:43:53 2025 commencing in-memory singleton removal
  178. Thu Jun 19 18:43:54 2025 begin with 93428107 relations and 66951687 unique ideals
  179. Thu Jun 19 18:43:56 2025 reduce to 93317648 relations and 64325040 ideals in 5 passes
  180. Thu Jun 19 18:43:56 2025 max relations containing the same ideal: 109
  181. Thu Jun 19 18:44:38 2025 removing 4521175 relations and 2521175 ideals in 2000000 cliques
  182. Thu Jun 19 18:44:43 2025 commencing in-memory singleton removal
  183. Thu Jun 19 18:44:44 2025 begin with 88796473 relations and 64325040 unique ideals
  184. Thu Jun 19 18:44:47 2025 reduce to 88678288 relations and 61683604 ideals in 5 passes
  185. Thu Jun 19 18:44:47 2025 max relations containing the same ideal: 104
  186. Thu Jun 19 18:45:22 2025 removing 4532484 relations and 2532484 ideals in 2000000 cliques
  187. Thu Jun 19 18:45:26 2025 commencing in-memory singleton removal
  188. Thu Jun 19 18:45:27 2025 begin with 84145804 relations and 61683604 unique ideals
  189. Thu Jun 19 18:45:29 2025 reduce to 84019089 relations and 59022090 ideals in 5 passes
  190. Thu Jun 19 18:45:29 2025 max relations containing the same ideal: 100
  191. Thu Jun 19 18:46:08 2025 removing 4545590 relations and 2545590 ideals in 2000000 cliques
  192. Thu Jun 19 18:46:12 2025 commencing in-memory singleton removal
  193. Thu Jun 19 18:46:13 2025 begin with 79473499 relations and 59022090 unique ideals
  194. Thu Jun 19 18:46:15 2025 reduce to 79336147 relations and 56336411 ideals in 5 passes
  195. Thu Jun 19 18:46:15 2025 max relations containing the same ideal: 95
  196. Thu Jun 19 18:46:47 2025 removing 4564332 relations and 2564332 ideals in 2000000 cliques
  197. Thu Jun 19 18:46:51 2025 commencing in-memory singleton removal
  198. Thu Jun 19 18:46:51 2025 begin with 74771815 relations and 56336411 unique ideals
  199. Thu Jun 19 18:46:54 2025 reduce to 74621321 relations and 53618494 ideals in 5 passes
  200. Thu Jun 19 18:46:54 2025 max relations containing the same ideal: 91
  201. Thu Jun 19 18:47:25 2025 removing 4590214 relations and 2590214 ideals in 2000000 cliques
  202. Thu Jun 19 18:47:28 2025 commencing in-memory singleton removal
  203. Thu Jun 19 18:47:29 2025 begin with 70031107 relations and 53618494 unique ideals
  204. Thu Jun 19 18:47:30 2025 reduce to 69864885 relations and 50858388 ideals in 5 passes
  205. Thu Jun 19 18:47:30 2025 max relations containing the same ideal: 89
  206. Thu Jun 19 18:48:01 2025 removing 4623830 relations and 2623830 ideals in 2000000 cliques
  207. Thu Jun 19 18:48:05 2025 commencing in-memory singleton removal
  208. Thu Jun 19 18:48:05 2025 begin with 65241055 relations and 50858388 unique ideals
  209. Thu Jun 19 18:48:07 2025 reduce to 65055266 relations and 48044330 ideals in 5 passes
  210. Thu Jun 19 18:48:07 2025 max relations containing the same ideal: 86
  211. Thu Jun 19 18:48:38 2025 removing 4667746 relations and 2667746 ideals in 2000000 cliques
  212. Thu Jun 19 18:48:41 2025 commencing in-memory singleton removal
  213. Thu Jun 19 18:48:42 2025 begin with 60387520 relations and 48044330 unique ideals
  214. Thu Jun 19 18:48:44 2025 reduce to 60178381 relations and 45162213 ideals in 6 passes
  215. Thu Jun 19 18:48:44 2025 max relations containing the same ideal: 85
  216. Thu Jun 19 18:49:11 2025 removing 4724105 relations and 2724105 ideals in 2000000 cliques
  217. Thu Jun 19 18:49:14 2025 commencing in-memory singleton removal
  218. Thu Jun 19 18:49:15 2025 begin with 55454276 relations and 45162213 unique ideals
  219. Thu Jun 19 18:49:16 2025 reduce to 55217533 relations and 42194876 ideals in 6 passes
  220. Thu Jun 19 18:49:16 2025 max relations containing the same ideal: 80
  221. Thu Jun 19 18:49:41 2025 removing 4790604 relations and 2790604 ideals in 2000000 cliques
  222. Thu Jun 19 18:49:44 2025 commencing in-memory singleton removal
  223. Thu Jun 19 18:49:45 2025 begin with 50426929 relations and 42194876 unique ideals
  224. Thu Jun 19 18:49:47 2025 reduce to 50152911 relations and 39122081 ideals in 6 passes
  225. Thu Jun 19 18:49:47 2025 max relations containing the same ideal: 77
  226. Thu Jun 19 18:50:10 2025 removing 4884701 relations and 2884701 ideals in 2000000 cliques
  227. Thu Jun 19 18:50:13 2025 commencing in-memory singleton removal
  228. Thu Jun 19 18:50:13 2025 begin with 45268210 relations and 39122081 unique ideals
  229. Thu Jun 19 18:50:15 2025 reduce to 44945054 relations and 35903563 ideals in 6 passes
  230. Thu Jun 19 18:50:15 2025 max relations containing the same ideal: 67
  231. Thu Jun 19 18:50:35 2025 removing 5000902 relations and 3000902 ideals in 2000000 cliques
  232. Thu Jun 19 18:50:38 2025 commencing in-memory singleton removal
  233. Thu Jun 19 18:50:38 2025 begin with 39944152 relations and 35903563 unique ideals
  234. Thu Jun 19 18:50:40 2025 reduce to 39557002 relations and 32501245 ideals in 7 passes
  235. Thu Jun 19 18:50:40 2025 max relations containing the same ideal: 61
  236. Thu Jun 19 18:51:01 2025 removing 5153051 relations and 3153051 ideals in 2000000 cliques
  237. Thu Jun 19 18:51:03 2025 commencing in-memory singleton removal
  238. Thu Jun 19 18:51:04 2025 begin with 34403951 relations and 32501245 unique ideals
  239. Thu Jun 19 18:51:05 2025 reduce to 33921993 relations and 28846009 ideals in 7 passes
  240. Thu Jun 19 18:51:05 2025 max relations containing the same ideal: 55
  241. Thu Jun 19 18:51:23 2025 removing 5354980 relations and 3354980 ideals in 2000000 cliques
  242. Thu Jun 19 18:51:25 2025 commencing in-memory singleton removal
  243. Thu Jun 19 18:51:26 2025 begin with 28567013 relations and 28846009 unique ideals
  244. Thu Jun 19 18:51:27 2025 reduce to 27943281 relations and 24836697 ideals in 8 passes
  245. Thu Jun 19 18:51:27 2025 max relations containing the same ideal: 48
  246. Thu Jun 19 18:51:40 2025 removing 4263650 relations and 2816172 ideals in 1447478 cliques
  247. Thu Jun 19 18:51:42 2025 commencing in-memory singleton removal
  248. Thu Jun 19 18:51:42 2025 begin with 23679631 relations and 24836697 unique ideals
  249. Thu Jun 19 18:51:43 2025 reduce to 23123783 relations and 21439495 ideals in 8 passes
  250. Thu Jun 19 18:51:43 2025 max relations containing the same ideal: 42
  251. Thu Jun 19 18:51:54 2025 removing 150459 relations and 125277 ideals in 25182 cliques
  252. Thu Jun 19 18:51:56 2025 commencing in-memory singleton removal
  253. Thu Jun 19 18:51:56 2025 begin with 22973324 relations and 21439495 unique ideals
  254. Thu Jun 19 18:51:56 2025 reduce to 22972333 relations and 21313227 ideals in 5 passes
  255. Thu Jun 19 18:51:56 2025 max relations containing the same ideal: 42
  256. Thu Jun 19 18:51:59 2025 relations with 0 large ideals: 5619
  257. Thu Jun 19 18:51:59 2025 relations with 1 large ideals: 77610
  258. Thu Jun 19 18:51:59 2025 relations with 2 large ideals: 736334
  259. Thu Jun 19 18:51:59 2025 relations with 3 large ideals: 2859265
  260. Thu Jun 19 18:51:59 2025 relations with 4 large ideals: 5693553
  261. Thu Jun 19 18:51:59 2025 relations with 5 large ideals: 6486217
  262. Thu Jun 19 18:51:59 2025 relations with 6 large ideals: 4525271
  263. Thu Jun 19 18:51:59 2025 relations with 7+ large ideals: 2588464
  264. Thu Jun 19 18:51:59 2025 commencing 2-way merge
  265. Thu Jun 19 18:52:15 2025 reduce to 15094228 relation sets and 13435122 unique ideals
  266. Thu Jun 19 18:52:15 2025 commencing full merge
  267. Thu Jun 19 19:00:02 2025 memory use: 1627.4 MB
  268. Thu Jun 19 19:00:03 2025 found 6464305 cycles, need 6357322
  269. Thu Jun 19 19:00:06 2025 weight of 6357322 cycles is about 890499551 (140.07/cycle)
  270. Thu Jun 19 19:00:06 2025 distribution of cycle lengths:
  271. Thu Jun 19 19:00:06 2025 1 relations: 192528
  272. Thu Jun 19 19:00:06 2025 2 relations: 302051
  273. Thu Jun 19 19:00:06 2025 3 relations: 365663
  274. Thu Jun 19 19:00:06 2025 4 relations: 396411
  275. Thu Jun 19 19:00:06 2025 5 relations: 430043
  276. Thu Jun 19 19:00:06 2025 6 relations: 444474
  277. Thu Jun 19 19:00:06 2025 7 relations: 451699
  278. Thu Jun 19 19:00:06 2025 8 relations: 441134
  279. Thu Jun 19 19:00:06 2025 9 relations: 424487
  280. Thu Jun 19 19:00:06 2025 10+ relations: 2908832
  281. Thu Jun 19 19:00:06 2025 heaviest cycle: 28 relations
  282. Thu Jun 19 19:00:10 2025 commencing cycle optimization
  283. Thu Jun 19 19:00:29 2025 start with 61446836 relations
  284. Thu Jun 19 19:03:53 2025 pruned 3625438 relations
  285. Thu Jun 19 19:03:53 2025 memory use: 1556.3 MB
  286. Thu Jun 19 19:03:53 2025 distribution of cycle lengths:
  287. Thu Jun 19 19:03:53 2025 1 relations: 192528
  288. Thu Jun 19 19:03:53 2025 2 relations: 311278
  289. Thu Jun 19 19:03:53 2025 3 relations: 383586
  290. Thu Jun 19 19:03:53 2025 4 relations: 417682
  291. Thu Jun 19 19:03:53 2025 5 relations: 458577
  292. Thu Jun 19 19:03:53 2025 6 relations: 476093
  293. Thu Jun 19 19:03:53 2025 7 relations: 486558
  294. Thu Jun 19 19:03:53 2025 8 relations: 474920
  295. Thu Jun 19 19:03:53 2025 9 relations: 456653
  296. Thu Jun 19 19:03:53 2025 10+ relations: 2699447
  297. Thu Jun 19 19:03:53 2025 heaviest cycle: 28 relations
  298. Thu Jun 19 19:04:09 2025 RelProcTime: 5800
  299. Thu Jun 19 19:04:09 2025
  300. Thu Jun 19 19:04:09 2025 commencing linear algebra
  301. Thu Jun 19 19:04:09 2025 using VBITS=256
  302. Thu Jun 19 19:04:09 2025 initialized process (0,0) of 1 x 1 grid
  303. Thu Jun 19 19:04:09 2025 read 6357322 cycles
  304. Thu Jun 19 19:04:24 2025 cycles contain 22170507 unique relations
  305. Thu Jun 19 19:09:44 2025 read 22170507 relations
  306. Thu Jun 19 19:09:46 2025 using 20 quadratic characters above 4294917295
  307. Thu Jun 19 19:09:48 2025 building initial matrix
  308. Thu Jun 19 19:16:35 2025 memory use: 3160.6 MB
  309. Thu Jun 19 19:16:41 2025 read 6357322 cycles
  310. Thu Jun 19 19:16:43 2025 matrix is 6357144 x 6357322 (3376.2 MB) with weight 1034408674 (162.71/col)
  311. Thu Jun 19 19:16:43 2025 sparse part has weight 808761109 (127.22/col)
  312. Thu Jun 19 19:18:32 2025 filtering completed in 2 passes
  313. Thu Jun 19 19:18:34 2025 matrix is 6356680 x 6356858 (3376.1 MB) with weight 1034376498 (162.72/col)
  314. Thu Jun 19 19:18:34 2025 sparse part has weight 808746477 (127.22/col)
  315. Thu Jun 19 19:19:19 2025 matrix starts at (0, 0)
  316. Thu Jun 19 19:19:21 2025 matrix is 6356680 x 6356858 (3376.1 MB) with weight 1034376498 (162.72/col)
  317. Thu Jun 19 19:19:21 2025 sparse part has weight 808746477 (127.22/col)
  318. Thu Jun 19 19:19:21 2025 saving the first 240 matrix rows for later
  319. Thu Jun 19 19:19:23 2025 matrix includes 256 packed rows
  320. Thu Jun 19 19:19:25 2025 matrix is 6356440 x 6356858 (3024.6 MB) with weight 739537642 (116.34/col)
  321. Thu Jun 19 19:19:25 2025 sparse part has weight 691168413 (108.73/col)
  322. Thu Jun 19 19:19:25 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  323. Thu Jun 19 19:19:44 2025 commencing Lanczos iteration (64 threads)
  324. Thu Jun 19 19:19:44 2025 memory use: 4195.4 MB
  325. Thu Jun 19 19:21:14 2025 linear algebra at 0.5%, ETA 5h 2m
  326. Thu Jun 19 19:22:34 2025 checking every 20000 dimensions, checkpointing every 1660000 dimensions
  327. Thu Jun 19 22:30:45 2025 lanczos halted after 24905 iterations (dim = 6356440)
  328. Thu Jun 19 22:31:06 2025 recovered 31 nontrivial dependencies
  329. Thu Jun 19 22:31:06 2025 BLanczosTime: 12417
  330. Thu Jun 19 22:31:06 2025
  331. Thu Jun 19 22:31:06 2025 commencing square root phase
  332. Thu Jun 19 22:31:06 2025 handling dependencies 1 to 64
  333. Thu Jun 19 22:31:06 2025 reading relations for dependency 1
  334. Thu Jun 19 22:31:07 2025 read 3179312 cycles
  335. Thu Jun 19 22:31:12 2025 cycles contain 11084810 unique relations
  336. Thu Jun 19 22:35:30 2025 read 11084810 relations
  337. Thu Jun 19 22:36:07 2025 multiplying 11084810 relations
  338. Thu Jun 19 22:37:08 2025 multiply complete, coefficients have about 607.51 million bits
  339. Thu Jun 19 22:37:10 2025 initial square root is modulo 282059
  340. Thu Jun 19 22:40:20 2025 GCD is 1, no factor found
  341. Thu Jun 19 22:40:20 2025 reading relations for dependency 2
  342. Thu Jun 19 22:40:20 2025 read 3177921 cycles
  343. Thu Jun 19 22:40:25 2025 cycles contain 11079572 unique relations
  344. Thu Jun 19 22:44:46 2025 read 11079572 relations
  345. Thu Jun 19 22:45:32 2025 multiplying 11079572 relations
  346. Thu Jun 19 22:47:04 2025 multiply complete, coefficients have about 607.23 million bits
  347. Thu Jun 19 22:47:07 2025 initial square root is modulo 280547
  348. Thu Jun 19 22:52:07 2025 sqrtTime: 1261
  349. Thu Jun 19 22:52:07 2025 p68 factor: 53298883275351101702722343034718971818500906802920235969655250576567
  350. Thu Jun 19 22:52:07 2025 p103 factor: 5633584906252242279035279233469637637380201487493634721052688653641389933481250370888194393116838070631
  351. Thu Jun 19 22:52:07 2025 elapsed time 05:24:39
  352.  
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