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4219_79m1.msieve.log

Serge_Batalov
Jun 25th, 2024
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  1. 100 % 704,347,432 Pending = 6,574,607
  2.  
  3. Found 556938895 unique, 147407692 duplicate, and 22 bad relations.
  4. Largest dimension used: 1905 of 2800
  5. Average dimension used: 1699.7 of 2800
  6.  
  7. Sun Jun 23 23:57:29 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  8. Sun Jun 23 23:57:29 2024 random seeds: 8a5ba2d2 a940b3a6
  9. Sun Jun 23 23:57:29 2024 Using 32 OpenMP threads
  10. Sun Jun 23 23:57:29 2024 factoring 5840444882582805809509164862245300622486852808678424087685583361026748756348292615320405003586314237087700931851441693915186376111603533356186469502646524190573253261888890960786483007530306235787614200423809735623843749454084431222136712284405469740804499218102146637291548246179821 (283 digits)
  11. Sun Jun 23 23:57:31 2024 no P-1/P+1/ECM available, skipping
  12. Sun Jun 23 23:57:31 2024 commencing number field sieve (283-digit input)
  13. Sun Jun 23 23:57:31 2024 R0: -134191136160874771913398406102965920597529127659
  14. Sun Jun 23 23:57:31 2024 R1: 1
  15. Sun Jun 23 23:57:31 2024 A0: -1
  16. Sun Jun 23 23:57:31 2024 A1: 0
  17. Sun Jun 23 23:57:31 2024 A2: 0
  18. Sun Jun 23 23:57:31 2024 A3: 0
  19. Sun Jun 23 23:57:31 2024 A4: 0
  20. Sun Jun 23 23:57:31 2024 A5: 0
  21. Sun Jun 23 23:57:31 2024 A6: 4219
  22. Sun Jun 23 23:57:31 2024 skew 0.32, size 3.592e-14, alpha 0.147, combined = 9.335e-15 rroots = 2
  23. Sun Jun 23 23:57:31 2024
  24. Sun Jun 23 23:57:31 2024 commencing relation filtering
  25. Sun Jun 23 23:57:31 2024 setting target matrix density to 130.0
  26. Sun Jun 23 23:57:31 2024 estimated available RAM is 1031034.2 MB
  27. Sun Jun 23 23:57:31 2024 commencing duplicate removal, pass 1
  28. Mon Jun 24 00:16:52 2024 skipped 249118 relations with b > 2^32
  29. Mon Jun 24 00:16:52 2024 found 33321071 hash collisions in 557165690 relations
  30. Mon Jun 24 00:17:11 2024 added 1217880 free relations
  31. Mon Jun 24 00:17:11 2024 commencing duplicate removal, pass 2
  32. Mon Jun 24 00:31:01 2024 found 155382 duplicates and 558228188 unique relations
  33. Mon Jun 24 00:31:01 2024 memory use: 1705.5 MB
  34. Mon Jun 24 00:31:01 2024 reading ideals above 720000
  35. Mon Jun 24 00:31:01 2024 commencing singleton removal, initial pass
  36. Mon Jun 24 01:33:10 2024 memory use: 11024.0 MB
  37. Mon Jun 24 01:33:10 2024 reading all ideals from disk
  38. Mon Jun 24 01:33:20 2024 memory use: 28953.4 MB
  39. Mon Jun 24 01:34:10 2024 keeping 486466194 ideals with weight <= 200, target excess is 3023073
  40. Mon Jun 24 01:35:18 2024 commencing in-memory singleton removal
  41. Mon Jun 24 01:35:21 2024 begin with 558228188 relations and 486466194 unique ideals
  42. Mon Jun 24 01:35:48 2024 reduce to 383629948 relations and 296785815 ideals in 12 passes
  43. Mon Jun 24 01:35:48 2024 max relations containing the same ideal: 165
  44. Mon Jun 24 01:37:50 2024 removing 12307772 relations and 10307772 ideals in 2000000 cliques
  45. Mon Jun 24 01:38:06 2024 commencing in-memory singleton removal
  46. Mon Jun 24 01:38:09 2024 begin with 371322176 relations and 296785815 unique ideals
  47. Mon Jun 24 01:38:24 2024 reduce to 371041040 relations and 286194894 ideals in 8 passes
  48. Mon Jun 24 01:38:24 2024 max relations containing the same ideal: 164
  49. Mon Jun 24 01:40:38 2024 removing 9407698 relations and 7407698 ideals in 2000000 cliques
  50. Mon Jun 24 01:40:52 2024 commencing in-memory singleton removal
  51. Mon Jun 24 01:40:54 2024 begin with 361633342 relations and 286194894 unique ideals
  52. Mon Jun 24 01:41:07 2024 reduce to 361448192 relations and 278600962 ideals in 7 passes
  53. Mon Jun 24 01:41:07 2024 max relations containing the same ideal: 161
  54. Mon Jun 24 01:43:12 2024 removing 8484002 relations and 6484002 ideals in 2000000 cliques
  55. Mon Jun 24 01:43:26 2024 commencing in-memory singleton removal
  56. Mon Jun 24 01:43:28 2024 begin with 352964190 relations and 278600962 unique ideals
  57. Mon Jun 24 01:43:41 2024 reduce to 352805297 relations and 271957128 ideals in 7 passes
  58. Mon Jun 24 01:43:41 2024 max relations containing the same ideal: 159
  59. Mon Jun 24 01:45:19 2024 removing 7952444 relations and 5952444 ideals in 2000000 cliques
  60. Mon Jun 24 01:45:33 2024 commencing in-memory singleton removal
  61. Mon Jun 24 01:45:36 2024 begin with 344852853 relations and 271957128 unique ideals
  62. Mon Jun 24 01:45:49 2024 reduce to 344706660 relations and 265857652 ideals in 7 passes
  63. Mon Jun 24 01:45:49 2024 max relations containing the same ideal: 159
  64. Mon Jun 24 01:47:55 2024 removing 7597835 relations and 5597835 ideals in 2000000 cliques
  65. Mon Jun 24 01:48:09 2024 commencing in-memory singleton removal
  66. Mon Jun 24 01:48:11 2024 begin with 337108825 relations and 265857652 unique ideals
  67. Mon Jun 24 01:48:22 2024 reduce to 336971670 relations and 260121887 ideals in 6 passes
  68. Mon Jun 24 01:48:22 2024 max relations containing the same ideal: 158
  69. Mon Jun 24 01:50:09 2024 removing 7347529 relations and 5347529 ideals in 2000000 cliques
  70. Mon Jun 24 01:50:22 2024 commencing in-memory singleton removal
  71. Mon Jun 24 01:50:25 2024 begin with 329624141 relations and 260121887 unique ideals
  72. Mon Jun 24 01:50:37 2024 reduce to 329492503 relations and 254641951 ideals in 7 passes
  73. Mon Jun 24 01:50:37 2024 max relations containing the same ideal: 155
  74. Mon Jun 24 01:52:10 2024 removing 7151781 relations and 5151781 ideals in 2000000 cliques
  75. Mon Jun 24 01:52:22 2024 commencing in-memory singleton removal
  76. Mon Jun 24 01:52:24 2024 begin with 322340722 relations and 254641951 unique ideals
  77. Mon Jun 24 01:52:36 2024 reduce to 322212400 relations and 249361061 ideals in 6 passes
  78. Mon Jun 24 01:52:36 2024 max relations containing the same ideal: 151
  79. Mon Jun 24 01:54:12 2024 removing 7000845 relations and 5000845 ideals in 2000000 cliques
  80. Mon Jun 24 01:54:24 2024 commencing in-memory singleton removal
  81. Mon Jun 24 01:54:27 2024 begin with 315211555 relations and 249361061 unique ideals
  82. Mon Jun 24 01:54:39 2024 reduce to 315085965 relations and 244233848 ideals in 7 passes
  83. Mon Jun 24 01:54:39 2024 max relations containing the same ideal: 148
  84. Mon Jun 24 01:56:18 2024 removing 6875967 relations and 4875967 ideals in 2000000 cliques
  85. Mon Jun 24 01:56:30 2024 commencing in-memory singleton removal
  86. Mon Jun 24 01:56:32 2024 begin with 308209998 relations and 244233848 unique ideals
  87. Mon Jun 24 01:56:43 2024 reduce to 308085586 relations and 239232718 ideals in 6 passes
  88. Mon Jun 24 01:56:43 2024 max relations containing the same ideal: 146
  89. Mon Jun 24 01:58:31 2024 removing 6776511 relations and 4776511 ideals in 2000000 cliques
  90. Mon Jun 24 01:58:42 2024 commencing in-memory singleton removal
  91. Mon Jun 24 01:58:44 2024 begin with 301309075 relations and 239232718 unique ideals
  92. Mon Jun 24 01:58:55 2024 reduce to 301186395 relations and 234332712 ideals in 6 passes
  93. Mon Jun 24 01:58:55 2024 max relations containing the same ideal: 146
  94. Mon Jun 24 02:00:31 2024 removing 6698532 relations and 4698532 ideals in 2000000 cliques
  95. Mon Jun 24 02:00:42 2024 commencing in-memory singleton removal
  96. Mon Jun 24 02:00:44 2024 begin with 294487863 relations and 234332712 unique ideals
  97. Mon Jun 24 02:00:53 2024 reduce to 294365224 relations and 229510707 ideals in 5 passes
  98. Mon Jun 24 02:00:53 2024 max relations containing the same ideal: 143
  99. Mon Jun 24 02:02:15 2024 removing 6627228 relations and 4627228 ideals in 2000000 cliques
  100. Mon Jun 24 02:02:27 2024 commencing in-memory singleton removal
  101. Mon Jun 24 02:02:29 2024 begin with 287737996 relations and 229510707 unique ideals
  102. Mon Jun 24 02:02:40 2024 reduce to 287615589 relations and 224760225 ideals in 6 passes
  103. Mon Jun 24 02:02:40 2024 max relations containing the same ideal: 140
  104. Mon Jun 24 02:04:04 2024 removing 6569052 relations and 4569052 ideals in 2000000 cliques
  105. Mon Jun 24 02:04:14 2024 commencing in-memory singleton removal
  106. Mon Jun 24 02:04:17 2024 begin with 281046537 relations and 224760225 unique ideals
  107. Mon Jun 24 02:04:26 2024 reduce to 280923066 relations and 220066748 ideals in 6 passes
  108. Mon Jun 24 02:04:26 2024 max relations containing the same ideal: 138
  109. Mon Jun 24 02:05:45 2024 removing 6522824 relations and 4522824 ideals in 2000000 cliques
  110. Mon Jun 24 02:05:55 2024 commencing in-memory singleton removal
  111. Mon Jun 24 02:05:57 2024 begin with 274400242 relations and 220066748 unique ideals
  112. Mon Jun 24 02:06:06 2024 reduce to 274276678 relations and 215419438 ideals in 5 passes
  113. Mon Jun 24 02:06:06 2024 max relations containing the same ideal: 136
  114. Mon Jun 24 02:07:42 2024 removing 6483626 relations and 4483626 ideals in 2000000 cliques
  115. Mon Jun 24 02:07:53 2024 commencing in-memory singleton removal
  116. Mon Jun 24 02:07:55 2024 begin with 267793052 relations and 215419438 unique ideals
  117. Mon Jun 24 02:08:04 2024 reduce to 267667352 relations and 210809115 ideals in 6 passes
  118. Mon Jun 24 02:08:04 2024 max relations containing the same ideal: 136
  119. Mon Jun 24 02:09:20 2024 removing 6446817 relations and 4446817 ideals in 2000000 cliques
  120. Mon Jun 24 02:09:30 2024 commencing in-memory singleton removal
  121. Mon Jun 24 02:09:32 2024 begin with 261220535 relations and 210809115 unique ideals
  122. Mon Jun 24 02:09:41 2024 reduce to 261094048 relations and 206234800 ideals in 6 passes
  123. Mon Jun 24 02:09:41 2024 max relations containing the same ideal: 132
  124. Mon Jun 24 02:10:56 2024 removing 6418449 relations and 4418449 ideals in 2000000 cliques
  125. Mon Jun 24 02:11:05 2024 commencing in-memory singleton removal
  126. Mon Jun 24 02:11:07 2024 begin with 254675599 relations and 206234800 unique ideals
  127. Mon Jun 24 02:11:16 2024 reduce to 254547441 relations and 201687123 ideals in 6 passes
  128. Mon Jun 24 02:11:16 2024 max relations containing the same ideal: 130
  129. Mon Jun 24 02:12:50 2024 removing 6396905 relations and 4396905 ideals in 2000000 cliques
  130. Mon Jun 24 02:13:00 2024 commencing in-memory singleton removal
  131. Mon Jun 24 02:13:02 2024 begin with 248150536 relations and 201687123 unique ideals
  132. Mon Jun 24 02:13:11 2024 reduce to 248019549 relations and 197158161 ideals in 7 passes
  133. Mon Jun 24 02:13:11 2024 max relations containing the same ideal: 126
  134. Mon Jun 24 02:14:53 2024 removing 6376795 relations and 4376795 ideals in 2000000 cliques
  135. Mon Jun 24 02:15:02 2024 commencing in-memory singleton removal
  136. Mon Jun 24 02:15:04 2024 begin with 241642754 relations and 197158161 unique ideals
  137. Mon Jun 24 02:15:11 2024 reduce to 241509197 relations and 192646638 ideals in 5 passes
  138. Mon Jun 24 02:15:11 2024 max relations containing the same ideal: 124
  139. Mon Jun 24 02:16:20 2024 removing 6365482 relations and 4365482 ideals in 2000000 cliques
  140. Mon Jun 24 02:16:29 2024 commencing in-memory singleton removal
  141. Mon Jun 24 02:16:30 2024 begin with 235143715 relations and 192646638 unique ideals
  142. Mon Jun 24 02:16:39 2024 reduce to 235008204 relations and 188144422 ideals in 7 passes
  143. Mon Jun 24 02:16:39 2024 max relations containing the same ideal: 123
  144. Mon Jun 24 02:17:46 2024 removing 6361988 relations and 4361988 ideals in 2000000 cliques
  145. Mon Jun 24 02:17:55 2024 commencing in-memory singleton removal
  146. Mon Jun 24 02:17:57 2024 begin with 228646216 relations and 188144422 unique ideals
  147. Mon Jun 24 02:18:05 2024 reduce to 228507304 relations and 183642189 ideals in 6 passes
  148. Mon Jun 24 02:18:05 2024 max relations containing the same ideal: 120
  149. Mon Jun 24 02:19:39 2024 removing 6355951 relations and 4355951 ideals in 2000000 cliques
  150. Mon Jun 24 02:19:48 2024 commencing in-memory singleton removal
  151. Mon Jun 24 02:19:50 2024 begin with 222151353 relations and 183642189 unique ideals
  152. Mon Jun 24 02:19:58 2024 reduce to 222009452 relations and 179143054 ideals in 7 passes
  153. Mon Jun 24 02:19:58 2024 max relations containing the same ideal: 118
  154. Mon Jun 24 02:21:04 2024 removing 6352651 relations and 4352651 ideals in 2000000 cliques
  155. Mon Jun 24 02:21:13 2024 commencing in-memory singleton removal
  156. Mon Jun 24 02:21:14 2024 begin with 215656801 relations and 179143054 unique ideals
  157. Mon Jun 24 02:21:22 2024 reduce to 215511067 relations and 174643208 ideals in 6 passes
  158. Mon Jun 24 02:21:22 2024 max relations containing the same ideal: 114
  159. Mon Jun 24 02:22:31 2024 removing 6357222 relations and 4357222 ideals in 2000000 cliques
  160. Mon Jun 24 02:22:39 2024 commencing in-memory singleton removal
  161. Mon Jun 24 02:22:41 2024 begin with 209153845 relations and 174643208 unique ideals
  162. Mon Jun 24 02:22:48 2024 reduce to 209004531 relations and 170135161 ideals in 6 passes
  163. Mon Jun 24 02:22:48 2024 max relations containing the same ideal: 112
  164. Mon Jun 24 02:23:50 2024 removing 6360749 relations and 4360749 ideals in 2000000 cliques
  165. Mon Jun 24 02:23:58 2024 commencing in-memory singleton removal
  166. Mon Jun 24 02:24:00 2024 begin with 202643782 relations and 170135161 unique ideals
  167. Mon Jun 24 02:24:07 2024 reduce to 202488880 relations and 165617833 ideals in 6 passes
  168. Mon Jun 24 02:24:07 2024 max relations containing the same ideal: 109
  169. Mon Jun 24 02:25:07 2024 removing 6371662 relations and 4371662 ideals in 2000000 cliques
  170. Mon Jun 24 02:25:15 2024 commencing in-memory singleton removal
  171. Mon Jun 24 02:25:16 2024 begin with 196117218 relations and 165617833 unique ideals
  172. Mon Jun 24 02:25:23 2024 reduce to 195957487 relations and 161084734 ideals in 6 passes
  173. Mon Jun 24 02:25:23 2024 max relations containing the same ideal: 107
  174. Mon Jun 24 02:26:20 2024 removing 6384345 relations and 4384345 ideals in 2000000 cliques
  175. Mon Jun 24 02:26:28 2024 commencing in-memory singleton removal
  176. Mon Jun 24 02:26:29 2024 begin with 189573142 relations and 161084734 unique ideals
  177. Mon Jun 24 02:26:35 2024 reduce to 189408395 relations and 156533807 ideals in 6 passes
  178. Mon Jun 24 02:26:35 2024 max relations containing the same ideal: 105
  179. Mon Jun 24 02:27:32 2024 removing 6404431 relations and 4404431 ideals in 2000000 cliques
  180. Mon Jun 24 02:27:39 2024 commencing in-memory singleton removal
  181. Mon Jun 24 02:27:41 2024 begin with 183003964 relations and 156533807 unique ideals
  182. Mon Jun 24 02:27:47 2024 reduce to 182833943 relations and 151957415 ideals in 6 passes
  183. Mon Jun 24 02:27:47 2024 max relations containing the same ideal: 101
  184. Mon Jun 24 02:28:46 2024 removing 6427858 relations and 4427858 ideals in 2000000 cliques
  185. Mon Jun 24 02:28:53 2024 commencing in-memory singleton removal
  186. Mon Jun 24 02:28:54 2024 begin with 176406085 relations and 151957415 unique ideals
  187. Mon Jun 24 02:29:00 2024 reduce to 176228077 relations and 147349526 ideals in 6 passes
  188. Mon Jun 24 02:29:00 2024 max relations containing the same ideal: 100
  189. Mon Jun 24 02:29:54 2024 removing 6455626 relations and 4455626 ideals in 2000000 cliques
  190. Mon Jun 24 02:30:01 2024 commencing in-memory singleton removal
  191. Mon Jun 24 02:30:02 2024 begin with 169772451 relations and 147349526 unique ideals
  192. Mon Jun 24 02:30:08 2024 reduce to 169586484 relations and 142705686 ideals in 6 passes
  193. Mon Jun 24 02:30:08 2024 max relations containing the same ideal: 99
  194. Mon Jun 24 02:31:03 2024 removing 6486549 relations and 4486549 ideals in 2000000 cliques
  195. Mon Jun 24 02:31:09 2024 commencing in-memory singleton removal
  196. Mon Jun 24 02:31:10 2024 begin with 163099935 relations and 142705686 unique ideals
  197. Mon Jun 24 02:31:16 2024 reduce to 162906080 relations and 138022823 ideals in 7 passes
  198. Mon Jun 24 02:31:16 2024 max relations containing the same ideal: 97
  199. Mon Jun 24 02:32:07 2024 removing 6520036 relations and 4520036 ideals in 2000000 cliques
  200. Mon Jun 24 02:32:14 2024 commencing in-memory singleton removal
  201. Mon Jun 24 02:32:15 2024 begin with 156386044 relations and 138022823 unique ideals
  202. Mon Jun 24 02:32:20 2024 reduce to 156183694 relations and 133297839 ideals in 6 passes
  203. Mon Jun 24 02:32:20 2024 max relations containing the same ideal: 93
  204. Mon Jun 24 02:33:08 2024 removing 6559473 relations and 4559473 ideals in 2000000 cliques
  205. Mon Jun 24 02:33:14 2024 commencing in-memory singleton removal
  206. Mon Jun 24 02:33:15 2024 begin with 149624221 relations and 133297839 unique ideals
  207. Mon Jun 24 02:33:20 2024 reduce to 149412044 relations and 128523507 ideals in 7 passes
  208. Mon Jun 24 02:33:20 2024 max relations containing the same ideal: 90
  209. Mon Jun 24 02:34:08 2024 removing 6606214 relations and 4606214 ideals in 2000000 cliques
  210. Mon Jun 24 02:34:14 2024 commencing in-memory singleton removal
  211. Mon Jun 24 02:34:15 2024 begin with 142805830 relations and 128523507 unique ideals
  212. Mon Jun 24 02:34:19 2024 reduce to 142583002 relations and 123691456 ideals in 6 passes
  213. Mon Jun 24 02:34:19 2024 max relations containing the same ideal: 88
  214. Mon Jun 24 02:35:16 2024 removing 6656996 relations and 4656996 ideals in 2000000 cliques
  215. Mon Jun 24 02:35:23 2024 commencing in-memory singleton removal
  216. Mon Jun 24 02:35:23 2024 begin with 135926006 relations and 123691456 unique ideals
  217. Mon Jun 24 02:35:28 2024 reduce to 135689595 relations and 118794785 ideals in 6 passes
  218. Mon Jun 24 02:35:28 2024 max relations containing the same ideal: 86
  219. Mon Jun 24 02:36:22 2024 removing 6717044 relations and 4717044 ideals in 2000000 cliques
  220. Mon Jun 24 02:36:28 2024 commencing in-memory singleton removal
  221. Mon Jun 24 02:36:29 2024 begin with 128972551 relations and 118794785 unique ideals
  222. Mon Jun 24 02:36:33 2024 reduce to 128721313 relations and 113823016 ideals in 6 passes
  223. Mon Jun 24 02:36:33 2024 max relations containing the same ideal: 82
  224. Mon Jun 24 02:37:16 2024 removing 6779480 relations and 4779480 ideals in 2000000 cliques
  225. Mon Jun 24 02:37:21 2024 commencing in-memory singleton removal
  226. Mon Jun 24 02:37:22 2024 begin with 121941833 relations and 113823016 unique ideals
  227. Mon Jun 24 02:37:26 2024 reduce to 121673823 relations and 108771744 ideals in 6 passes
  228. Mon Jun 24 02:37:26 2024 max relations containing the same ideal: 79
  229. Mon Jun 24 02:38:05 2024 removing 6851005 relations and 4851005 ideals in 2000000 cliques
  230. Mon Jun 24 02:38:10 2024 commencing in-memory singleton removal
  231. Mon Jun 24 02:38:11 2024 begin with 114822818 relations and 108771744 unique ideals
  232. Mon Jun 24 02:38:15 2024 reduce to 114535644 relations and 103629208 ideals in 7 passes
  233. Mon Jun 24 02:38:15 2024 max relations containing the same ideal: 76
  234. Mon Jun 24 02:38:51 2024 removing 6933327 relations and 4933327 ideals in 2000000 cliques
  235. Mon Jun 24 02:38:56 2024 commencing in-memory singleton removal
  236. Mon Jun 24 02:38:56 2024 begin with 107602317 relations and 103629208 unique ideals
  237. Mon Jun 24 02:39:00 2024 reduce to 107293181 relations and 98381902 ideals in 7 passes
  238. Mon Jun 24 02:39:00 2024 max relations containing the same ideal: 72
  239. Mon Jun 24 02:39:34 2024 removing 7023533 relations and 5023533 ideals in 2000000 cliques
  240. Mon Jun 24 02:39:39 2024 commencing in-memory singleton removal
  241. Mon Jun 24 02:39:40 2024 begin with 100269648 relations and 98381902 unique ideals
  242. Mon Jun 24 02:39:43 2024 reduce to 99932223 relations and 93015511 ideals in 7 passes
  243. Mon Jun 24 02:39:43 2024 max relations containing the same ideal: 69
  244. Mon Jun 24 02:40:16 2024 removing 7122091 relations and 5122091 ideals in 2000000 cliques
  245. Mon Jun 24 02:40:21 2024 commencing in-memory singleton removal
  246. Mon Jun 24 02:40:21 2024 begin with 92810132 relations and 93015511 unique ideals
  247. Mon Jun 24 02:40:25 2024 reduce to 92437952 relations and 87515031 ideals in 7 passes
  248. Mon Jun 24 02:40:25 2024 max relations containing the same ideal: 64
  249. Mon Jun 24 02:40:58 2024 removing 5437678 relations and 4021522 ideals in 1416156 cliques
  250. Mon Jun 24 02:41:02 2024 commencing in-memory singleton removal
  251. Mon Jun 24 02:41:03 2024 begin with 87000274 relations and 87515031 unique ideals
  252. Mon Jun 24 02:41:05 2024 reduce to 86767327 relations and 83257563 ideals in 6 passes
  253. Mon Jun 24 02:41:05 2024 max relations containing the same ideal: 62
  254. Mon Jun 24 02:41:50 2024 relations with 0 large ideals: 112587
  255. Mon Jun 24 02:41:50 2024 relations with 1 large ideals: 77974
  256. Mon Jun 24 02:41:50 2024 relations with 2 large ideals: 848369
  257. Mon Jun 24 02:41:50 2024 relations with 3 large ideals: 4455902
  258. Mon Jun 24 02:41:50 2024 relations with 4 large ideals: 12583820
  259. Mon Jun 24 02:41:50 2024 relations with 5 large ideals: 21184855
  260. Mon Jun 24 02:41:50 2024 relations with 6 large ideals: 22415489
  261. Mon Jun 24 02:41:50 2024 relations with 7+ large ideals: 25088331
  262. Mon Jun 24 02:41:50 2024 commencing 2-way merge
  263. Mon Jun 24 02:42:36 2024 reduce to 56429640 relation sets and 52919876 unique ideals
  264. Mon Jun 24 02:42:36 2024 commencing full merge
  265. Mon Jun 24 03:09:32 2024 memory use: 7038.3 MB
  266. Mon Jun 24 03:09:39 2024 found 25654954 cycles, need 25318076
  267. Mon Jun 24 03:09:51 2024 weight of 25318076 cycles is about 3291551875 (130.01/cycle)
  268. Mon Jun 24 03:09:52 2024 distribution of cycle lengths:
  269. Mon Jun 24 03:09:52 2024 1 relations: 1215812
  270. Mon Jun 24 03:09:52 2024 2 relations: 1527713
  271. Mon Jun 24 03:09:52 2024 3 relations: 1722188
  272. Mon Jun 24 03:09:52 2024 4 relations: 1776647
  273. Mon Jun 24 03:09:52 2024 5 relations: 1816940
  274. Mon Jun 24 03:09:52 2024 6 relations: 1821725
  275. Mon Jun 24 03:09:52 2024 7 relations: 1811078
  276. Mon Jun 24 03:09:52 2024 8 relations: 1752496
  277. Mon Jun 24 03:09:52 2024 9 relations: 1666284
  278. Mon Jun 24 03:09:52 2024 10+ relations: 10207193
  279. Mon Jun 24 03:09:52 2024 heaviest cycle: 28 relations
  280. Mon Jun 24 03:09:59 2024 commencing cycle optimization
  281. Mon Jun 24 03:11:15 2024 start with 221935045 relations
  282. Mon Jun 24 03:21:48 2024 pruned 10601762 relations
  283. Mon Jun 24 03:21:48 2024 memory use: 5848.6 MB
  284. Mon Jun 24 03:21:48 2024 distribution of cycle lengths:
  285. Mon Jun 24 03:21:48 2024 1 relations: 1215812
  286. Mon Jun 24 03:21:48 2024 2 relations: 1565601
  287. Mon Jun 24 03:21:48 2024 3 relations: 1796156
  288. Mon Jun 24 03:21:48 2024 4 relations: 1854668
  289. Mon Jun 24 03:21:48 2024 5 relations: 1915096
  290. Mon Jun 24 03:21:48 2024 6 relations: 1919164
  291. Mon Jun 24 03:21:48 2024 7 relations: 1916842
  292. Mon Jun 24 03:21:48 2024 8 relations: 1850746
  293. Mon Jun 24 03:21:48 2024 9 relations: 1758270
  294. Mon Jun 24 03:21:48 2024 10+ relations: 9525721
  295. Mon Jun 24 03:21:48 2024 heaviest cycle: 28 relations
  296. Mon Jun 24 03:23:26 2024 RelProcTime: 12355
  297. Mon Jun 24 03:23:26 2024
  298. Mon Jun 24 03:23:26 2024 commencing linear algebra
  299. Mon Jun 24 03:23:26 2024 using VBITS=256
  300. Mon Jun 24 03:23:30 2024 read 25318076 cycles
  301. Mon Jun 24 03:24:39 2024 cycles contain 85067289 unique relations
  302. Mon Jun 24 03:36:21 2024 read 85067289 relations
  303. Mon Jun 24 03:36:30 2024 using 20 quadratic characters above 4294917295
  304. Mon Jun 24 03:36:47 2024 building initial matrix
  305. Mon Jun 24 04:09:35 2024 memory use: 11868.2 MB
  306. Mon Jun 24 04:09:53 2024 read 25318076 cycles
  307. Mon Jun 24 04:09:57 2024 matrix is 25317895 x 25318076 (12741.5 MB) with weight 3691992604 (145.82/col)
  308. Mon Jun 24 04:09:57 2024 sparse part has weight 3061596356 (120.93/col)
  309. Mon Jun 24 04:16:18 2024 filtering completed in 2 passes
  310. Mon Jun 24 04:16:25 2024 matrix is 25316835 x 25317008 (12741.3 MB) with weight 3691946578 (145.83/col)
  311. Mon Jun 24 04:16:25 2024 sparse part has weight 3061576813 (120.93/col)
  312. Mon Jun 24 04:24:52 2024 matrix starts at (0, 0)
  313. Mon Jun 24 04:24:56 2024 matrix is 25316835 x 25317008 (12741.3 MB) with weight 3691946578 (145.83/col)
  314. Mon Jun 24 04:24:56 2024 sparse part has weight 3061576813 (120.93/col)
  315. Mon Jun 24 04:24:56 2024 saving the first 240 matrix rows for later
  316. Mon Jun 24 04:25:03 2024 matrix includes 256 packed rows
  317. Mon Jun 24 04:25:16 2024 matrix is 25316595 x 25317008 (11710.8 MB) with weight 2805692616 (110.82/col)
  318. Mon Jun 24 04:25:16 2024 sparse part has weight 2664848083 (105.26/col)
  319. Mon Jun 24 04:25:19 2024 using GPU 1 (NVIDIA L40S)
  320. Mon Jun 24 04:25:19 2024 selected card has CUDA arch 8.9
  321. Mon Jun 24 04:30:53 2024 commencing Lanczos iteration
  322. Mon Jun 24 04:30:55 2024 memory use: 26898.4 MB
  323. Mon Jun 24 04:32:13 2024 linear algebra at 0.1%, ETA 17h40m
  324. Mon Jun 24 04:34:09 2024 checking every 10000 dimensions, checkpointing every 720000 dimensions
  325. Mon Jun 24 22:13:30 2024 lanczos halted after 99192 iterations (dim = 25316594)
  326. Mon Jun 24 22:15:54 2024 recovered 35 nontrivial dependencies
  327. Mon Jun 24 22:15:55 2024 BLanczosTime: 67949
  328. Mon Jun 24 22:15:55 2024
  329. Mon Jun 24 22:15:55 2024 commencing square root phase
  330. Mon Jun 24 22:15:55 2024 handling dependencies 1 to 64
  331. Mon Jun 24 22:15:55 2024 reading relations for dependency 1
  332. Mon Jun 24 22:16:00 2024 read 12658653 cycles
  333. Mon Jun 24 22:16:29 2024 cycles contain 42532364 unique relations
  334. Mon Jun 24 22:27:57 2024 read 42532364 relations
  335. Mon Jun 24 22:31:25 2024 multiplying 42532364 relations
  336. Mon Jun 24 23:05:00 2024 multiply complete, coefficients have about 1638.08 million bits
  337. Mon Jun 24 23:05:04 2024 initial square root is modulo 22282279
  338. Mon Jun 24 23:20:51 2024 GCD is N, no factor found
  339. Mon Jun 24 23:20:51 2024 reading relations for dependency 2
  340. Mon Jun 24 23:20:58 2024 read 12657040 cycles
  341. Mon Jun 24 23:21:36 2024 cycles contain 42535450 unique relations
  342. Mon Jun 24 23:33:00 2024 read 42535450 relations
  343. Mon Jun 24 23:36:32 2024 multiplying 42535450 relations
  344. Tue Jun 25 00:10:09 2024 multiply complete, coefficients have about 1638.19 million bits
  345. Tue Jun 25 00:10:13 2024 initial square root is modulo 22308211
  346. Tue Jun 25 00:25:54 2024 GCD is 1, no factor found
  347. Tue Jun 25 00:25:54 2024 reading relations for dependency 3
  348. Tue Jun 25 00:26:00 2024 read 12656985 cycles
  349. Tue Jun 25 00:26:37 2024 cycles contain 42528250 unique relations
  350. Tue Jun 25 00:37:56 2024 read 42528250 relations
  351. Tue Jun 25 00:41:26 2024 multiplying 42528250 relations
  352. Tue Jun 25 01:14:59 2024 multiply complete, coefficients have about 1637.92 million bits
  353. Tue Jun 25 01:15:03 2024 initial square root is modulo 22247287
  354. Tue Jun 25 01:30:46 2024 sqrtTime: 11691
  355. Tue Jun 25 01:30:46 2024 p123 factor: 363404672164750133870551706735957851497198732401019375458678173419901429005985396193079647658162531948140035011232871005189
  356. Tue Jun 25 01:30:46 2024 p161 factor: 16071463384859922949361043136325050722040111267760809694012423784913425777532576263556793838892988662645302417578699058868633329127415765536759231722212145062089
  357. Tue Jun 25 01:30:46 2024 elapsed time 25:33:17
  358.  
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