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gchilders

5m3_425

Mar 7th, 2022
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  1. Mon Mar 7 01:58:08 2022
  2. Mon Mar 7 01:58:08 2022
  3. Mon Mar 7 01:58:08 2022 Msieve v. 1.54 (SVN unknown)
  4. Mon Mar 7 01:58:08 2022 random seeds: f38fb2d4 3dd0b485
  5. Mon Mar 7 01:58:08 2022 factoring 3615585585196150831178452864134253581298092586172168742490880669239890638015724859218917122864482115049097469572394129723238144231684858711215525897319073505719861946180872195895735426929275351 (193 digits)
  6. Mon Mar 7 01:58:08 2022 no P-1/P+1/ECM available, skipping
  7. Mon Mar 7 01:58:08 2022 commencing number field sieve (193-digit input)
  8. Mon Mar 7 01:58:08 2022 R0: 258493941422821148397315216271863391739316284656524658203125
  9. Mon Mar 7 01:58:08 2022 R1: -35917545547686059365808220080151141317043
  10. Mon Mar 7 01:58:08 2022 A0: 1
  11. Mon Mar 7 01:58:08 2022 A1: 1
  12. Mon Mar 7 01:58:08 2022 A2: 1
  13. Mon Mar 7 01:58:08 2022 A3: 1
  14. Mon Mar 7 01:58:08 2022 A4: 1
  15. Mon Mar 7 01:58:08 2022 skew 1.00, size 3.516e-24, alpha 1.694, combined = 2.081e-14 rroots = 0
  16. Mon Mar 7 01:58:08 2022
  17. Mon Mar 7 01:58:08 2022 commencing relation filtering
  18. Mon Mar 7 01:58:08 2022 setting target matrix density to 120.0
  19. Mon Mar 7 01:58:08 2022 estimated available RAM is 515600.8 MB
  20. Mon Mar 7 01:58:08 2022 commencing duplicate removal, pass 1
  21. Mon Mar 7 02:37:18 2022 skipped 17098 relations with b > 2^32
  22. Mon Mar 7 02:37:18 2022 skipped 117 relations with composite factors
  23. Mon Mar 7 02:37:18 2022 found 49764188 hash collisions in 497999213 relations
  24. Mon Mar 7 02:37:23 2022 added 3657741 free relations
  25. Mon Mar 7 02:37:23 2022 commencing duplicate removal, pass 2
  26. Mon Mar 7 02:39:19 2022 found 2 duplicates and 501656952 unique relations
  27. Mon Mar 7 02:39:19 2022 memory use: 2259.0 MB
  28. Mon Mar 7 02:39:19 2022 reading ideals above 720000
  29. Mon Mar 7 02:39:19 2022 commencing singleton removal, initial pass
  30. Mon Mar 7 03:20:55 2022 memory use: 11024.0 MB
  31. Mon Mar 7 03:20:55 2022 reading all ideals from disk
  32. Mon Mar 7 03:21:02 2022 memory use: 20951.1 MB
  33. Mon Mar 7 03:21:20 2022 keeping 416100915 ideals with weight <= 200, target excess is 2602915
  34. Mon Mar 7 03:21:50 2022 commencing in-memory singleton removal
  35. Mon Mar 7 03:22:04 2022 begin with 501656952 relations and 416100915 unique ideals
  36. Mon Mar 7 03:24:23 2022 reduce to 362449503 relations and 266260193 ideals in 11 passes
  37. Mon Mar 7 03:24:23 2022 max relations containing the same ideal: 172
  38. Mon Mar 7 03:25:35 2022 removing 11199226 relations and 9199226 ideals in 2000000 cliques
  39. Mon Mar 7 03:25:41 2022 commencing in-memory singleton removal
  40. Mon Mar 7 03:25:50 2022 begin with 351250277 relations and 266260193 unique ideals
  41. Mon Mar 7 03:27:12 2022 reduce to 350978902 relations and 256787412 ideals in 7 passes
  42. Mon Mar 7 03:27:12 2022 max relations containing the same ideal: 170
  43. Mon Mar 7 03:28:21 2022 removing 8595241 relations and 6595241 ideals in 2000000 cliques
  44. Mon Mar 7 03:28:27 2022 commencing in-memory singleton removal
  45. Mon Mar 7 03:28:36 2022 begin with 342383661 relations and 256787412 unique ideals
  46. Mon Mar 7 03:29:55 2022 reduce to 342202709 relations and 250010017 ideals in 7 passes
  47. Mon Mar 7 03:29:55 2022 max relations containing the same ideal: 167
  48. Mon Mar 7 03:31:02 2022 removing 7775996 relations and 5775996 ideals in 2000000 cliques
  49. Mon Mar 7 03:31:07 2022 commencing in-memory singleton removal
  50. Mon Mar 7 03:31:16 2022 begin with 334426713 relations and 250010017 unique ideals
  51. Mon Mar 7 03:32:34 2022 reduce to 334271711 relations and 244078019 ideals in 7 passes
  52. Mon Mar 7 03:32:34 2022 max relations containing the same ideal: 166
  53. Mon Mar 7 03:33:38 2022 removing 7315679 relations and 5315679 ideals in 2000000 cliques
  54. Mon Mar 7 03:33:44 2022 commencing in-memory singleton removal
  55. Mon Mar 7 03:33:52 2022 begin with 326956032 relations and 244078019 unique ideals
  56. Mon Mar 7 03:34:57 2022 reduce to 326813999 relations and 238619418 ideals in 6 passes
  57. Mon Mar 7 03:34:57 2022 max relations containing the same ideal: 164
  58. Mon Mar 7 03:36:01 2022 removing 7015556 relations and 5015556 ideals in 2000000 cliques
  59. Mon Mar 7 03:36:06 2022 commencing in-memory singleton removal
  60. Mon Mar 7 03:36:15 2022 begin with 319798443 relations and 238619418 unique ideals
  61. Mon Mar 7 03:37:18 2022 reduce to 319666420 relations and 233471013 ideals in 6 passes
  62. Mon Mar 7 03:37:18 2022 max relations containing the same ideal: 161
  63. Mon Mar 7 03:38:20 2022 removing 6799007 relations and 4799007 ideals in 2000000 cliques
  64. Mon Mar 7 03:38:25 2022 commencing in-memory singleton removal
  65. Mon Mar 7 03:38:34 2022 begin with 312867413 relations and 233471013 unique ideals
  66. Mon Mar 7 03:39:36 2022 reduce to 312740487 relations and 228544249 ideals in 6 passes
  67. Mon Mar 7 03:39:36 2022 max relations containing the same ideal: 158
  68. Mon Mar 7 03:40:37 2022 removing 6636959 relations and 4636959 ideals in 2000000 cliques
  69. Mon Mar 7 03:40:42 2022 commencing in-memory singleton removal
  70. Mon Mar 7 03:40:50 2022 begin with 306103528 relations and 228544249 unique ideals
  71. Mon Mar 7 03:41:50 2022 reduce to 305980872 relations and 223783826 ideals in 6 passes
  72. Mon Mar 7 03:41:50 2022 max relations containing the same ideal: 156
  73. Mon Mar 7 03:42:50 2022 removing 6502019 relations and 4502019 ideals in 2000000 cliques
  74. Mon Mar 7 03:42:55 2022 commencing in-memory singleton removal
  75. Mon Mar 7 03:43:03 2022 begin with 299478853 relations and 223783826 unique ideals
  76. Mon Mar 7 03:43:52 2022 reduce to 299359844 relations and 219162004 ideals in 5 passes
  77. Mon Mar 7 03:43:52 2022 max relations containing the same ideal: 154
  78. Mon Mar 7 03:44:51 2022 removing 6397947 relations and 4397947 ideals in 2000000 cliques
  79. Mon Mar 7 03:44:56 2022 commencing in-memory singleton removal
  80. Mon Mar 7 03:45:04 2022 begin with 292961897 relations and 219162004 unique ideals
  81. Mon Mar 7 03:46:11 2022 reduce to 292843980 relations and 214645326 ideals in 7 passes
  82. Mon Mar 7 03:46:11 2022 max relations containing the same ideal: 153
  83. Mon Mar 7 03:47:09 2022 removing 6312666 relations and 4312666 ideals in 2000000 cliques
  84. Mon Mar 7 03:47:13 2022 commencing in-memory singleton removal
  85. Mon Mar 7 03:47:21 2022 begin with 286531314 relations and 214645326 unique ideals
  86. Mon Mar 7 03:48:18 2022 reduce to 286416366 relations and 210216887 ideals in 6 passes
  87. Mon Mar 7 03:48:18 2022 max relations containing the same ideal: 150
  88. Mon Mar 7 03:49:14 2022 removing 6238838 relations and 4238838 ideals in 2000000 cliques
  89. Mon Mar 7 03:49:19 2022 commencing in-memory singleton removal
  90. Mon Mar 7 03:49:26 2022 begin with 280177528 relations and 210216887 unique ideals
  91. Mon Mar 7 03:50:21 2022 reduce to 280061997 relations and 205861635 ideals in 6 passes
  92. Mon Mar 7 03:50:21 2022 max relations containing the same ideal: 150
  93. Mon Mar 7 03:51:17 2022 removing 6175751 relations and 4175751 ideals in 2000000 cliques
  94. Mon Mar 7 03:51:21 2022 commencing in-memory singleton removal
  95. Mon Mar 7 03:51:28 2022 begin with 273886246 relations and 205861635 unique ideals
  96. Mon Mar 7 03:52:22 2022 reduce to 273771023 relations and 201569770 ideals in 6 passes
  97. Mon Mar 7 03:52:22 2022 max relations containing the same ideal: 146
  98. Mon Mar 7 03:53:17 2022 removing 6130127 relations and 4130127 ideals in 2000000 cliques
  99. Mon Mar 7 03:53:21 2022 commencing in-memory singleton removal
  100. Mon Mar 7 03:53:28 2022 begin with 267640896 relations and 201569770 unique ideals
  101. Mon Mar 7 03:54:12 2022 reduce to 267526238 relations and 197324024 ideals in 5 passes
  102. Mon Mar 7 03:54:12 2022 max relations containing the same ideal: 143
  103. Mon Mar 7 03:55:05 2022 removing 6077077 relations and 4077077 ideals in 2000000 cliques
  104. Mon Mar 7 03:55:09 2022 commencing in-memory singleton removal
  105. Mon Mar 7 03:55:16 2022 begin with 261449161 relations and 197324024 unique ideals
  106. Mon Mar 7 03:56:08 2022 reduce to 261334485 relations and 193131365 ideals in 6 passes
  107. Mon Mar 7 03:56:08 2022 max relations containing the same ideal: 140
  108. Mon Mar 7 03:57:00 2022 removing 6041690 relations and 4041690 ideals in 2000000 cliques
  109. Mon Mar 7 03:57:04 2022 commencing in-memory singleton removal
  110. Mon Mar 7 03:57:11 2022 begin with 255292795 relations and 193131365 unique ideals
  111. Mon Mar 7 03:58:01 2022 reduce to 255177120 relations and 188972940 ideals in 6 passes
  112. Mon Mar 7 03:58:01 2022 max relations containing the same ideal: 137
  113. Mon Mar 7 03:58:52 2022 removing 6008227 relations and 4008227 ideals in 2000000 cliques
  114. Mon Mar 7 03:58:56 2022 commencing in-memory singleton removal
  115. Mon Mar 7 03:59:03 2022 begin with 249168893 relations and 188972940 unique ideals
  116. Mon Mar 7 03:59:52 2022 reduce to 249052147 relations and 184846938 ideals in 6 passes
  117. Mon Mar 7 03:59:52 2022 max relations containing the same ideal: 134
  118. Mon Mar 7 04:00:42 2022 removing 5978204 relations and 3978204 ideals in 2000000 cliques
  119. Mon Mar 7 04:00:46 2022 commencing in-memory singleton removal
  120. Mon Mar 7 04:00:52 2022 begin with 243073943 relations and 184846938 unique ideals
  121. Mon Mar 7 04:01:40 2022 reduce to 242956659 relations and 180750285 ideals in 6 passes
  122. Mon Mar 7 04:01:40 2022 max relations containing the same ideal: 134
  123. Mon Mar 7 04:02:29 2022 removing 5957139 relations and 3957139 ideals in 2000000 cliques
  124. Mon Mar 7 04:02:33 2022 commencing in-memory singleton removal
  125. Mon Mar 7 04:02:39 2022 begin with 236999520 relations and 180750285 unique ideals
  126. Mon Mar 7 04:03:25 2022 reduce to 236880344 relations and 176672748 ideals in 6 passes
  127. Mon Mar 7 04:03:25 2022 max relations containing the same ideal: 130
  128. Mon Mar 7 04:04:13 2022 removing 5934165 relations and 3934165 ideals in 2000000 cliques
  129. Mon Mar 7 04:04:17 2022 commencing in-memory singleton removal
  130. Mon Mar 7 04:04:23 2022 begin with 230946179 relations and 176672748 unique ideals
  131. Mon Mar 7 04:05:08 2022 reduce to 230826325 relations and 172617508 ideals in 6 passes
  132. Mon Mar 7 04:05:08 2022 max relations containing the same ideal: 129
  133. Mon Mar 7 04:05:55 2022 removing 5913875 relations and 3913875 ideals in 2000000 cliques
  134. Mon Mar 7 04:05:59 2022 commencing in-memory singleton removal
  135. Mon Mar 7 04:06:05 2022 begin with 224912450 relations and 172617508 unique ideals
  136. Mon Mar 7 04:06:49 2022 reduce to 224790080 relations and 168579988 ideals in 6 passes
  137. Mon Mar 7 04:06:49 2022 max relations containing the same ideal: 126
  138. Mon Mar 7 04:07:35 2022 removing 5903492 relations and 3903492 ideals in 2000000 cliques
  139. Mon Mar 7 04:07:38 2022 commencing in-memory singleton removal
  140. Mon Mar 7 04:07:44 2022 begin with 218886588 relations and 168579988 unique ideals
  141. Mon Mar 7 04:08:27 2022 reduce to 218762506 relations and 164551086 ideals in 6 passes
  142. Mon Mar 7 04:08:27 2022 max relations containing the same ideal: 124
  143. Mon Mar 7 04:09:11 2022 removing 5895876 relations and 3895876 ideals in 2000000 cliques
  144. Mon Mar 7 04:09:15 2022 commencing in-memory singleton removal
  145. Mon Mar 7 04:09:21 2022 begin with 212866630 relations and 164551086 unique ideals
  146. Mon Mar 7 04:10:02 2022 reduce to 212739438 relations and 160526616 ideals in 6 passes
  147. Mon Mar 7 04:10:02 2022 max relations containing the same ideal: 121
  148. Mon Mar 7 04:10:46 2022 removing 5883899 relations and 3883899 ideals in 2000000 cliques
  149. Mon Mar 7 04:10:49 2022 commencing in-memory singleton removal
  150. Mon Mar 7 04:10:55 2022 begin with 206855539 relations and 160526616 unique ideals
  151. Mon Mar 7 04:11:35 2022 reduce to 206726135 relations and 156511827 ideals in 6 passes
  152. Mon Mar 7 04:11:35 2022 max relations containing the same ideal: 120
  153. Mon Mar 7 04:12:18 2022 removing 5877199 relations and 3877199 ideals in 2000000 cliques
  154. Mon Mar 7 04:12:21 2022 commencing in-memory singleton removal
  155. Mon Mar 7 04:12:26 2022 begin with 200848936 relations and 156511827 unique ideals
  156. Mon Mar 7 04:13:05 2022 reduce to 200715844 relations and 152500030 ideals in 6 passes
  157. Mon Mar 7 04:13:05 2022 max relations containing the same ideal: 117
  158. Mon Mar 7 04:13:47 2022 removing 5873037 relations and 3873037 ideals in 2000000 cliques
  159. Mon Mar 7 04:13:50 2022 commencing in-memory singleton removal
  160. Mon Mar 7 04:13:55 2022 begin with 194842807 relations and 152500030 unique ideals
  161. Mon Mar 7 04:14:33 2022 reduce to 194707427 relations and 148490001 ideals in 6 passes
  162. Mon Mar 7 04:14:33 2022 max relations containing the same ideal: 115
  163. Mon Mar 7 04:15:14 2022 removing 5875304 relations and 3875304 ideals in 2000000 cliques
  164. Mon Mar 7 04:15:17 2022 commencing in-memory singleton removal
  165. Mon Mar 7 04:15:22 2022 begin with 188832123 relations and 148490001 unique ideals
  166. Mon Mar 7 04:15:59 2022 reduce to 188692594 relations and 144473490 ideals in 6 passes
  167. Mon Mar 7 04:15:59 2022 max relations containing the same ideal: 114
  168. Mon Mar 7 04:16:38 2022 removing 5879749 relations and 3879749 ideals in 2000000 cliques
  169. Mon Mar 7 04:16:41 2022 commencing in-memory singleton removal
  170. Mon Mar 7 04:16:46 2022 begin with 182812845 relations and 144473490 unique ideals
  171. Mon Mar 7 04:17:21 2022 reduce to 182670235 relations and 140449446 ideals in 6 passes
  172. Mon Mar 7 04:17:21 2022 max relations containing the same ideal: 111
  173. Mon Mar 7 04:18:00 2022 removing 5883649 relations and 3883649 ideals in 2000000 cliques
  174. Mon Mar 7 04:18:03 2022 commencing in-memory singleton removal
  175. Mon Mar 7 04:18:07 2022 begin with 176786586 relations and 140449446 unique ideals
  176. Mon Mar 7 04:18:42 2022 reduce to 176638968 relations and 136416300 ideals in 6 passes
  177. Mon Mar 7 04:18:42 2022 max relations containing the same ideal: 108
  178. Mon Mar 7 04:19:19 2022 removing 5891879 relations and 3891879 ideals in 2000000 cliques
  179. Mon Mar 7 04:19:22 2022 commencing in-memory singleton removal
  180. Mon Mar 7 04:19:26 2022 begin with 170747089 relations and 136416300 unique ideals
  181. Mon Mar 7 04:20:00 2022 reduce to 170595239 relations and 132370571 ideals in 6 passes
  182. Mon Mar 7 04:20:00 2022 max relations containing the same ideal: 105
  183. Mon Mar 7 04:20:36 2022 removing 5905054 relations and 3905054 ideals in 2000000 cliques
  184. Mon Mar 7 04:20:39 2022 commencing in-memory singleton removal
  185. Mon Mar 7 04:20:43 2022 begin with 164690185 relations and 132370571 unique ideals
  186. Mon Mar 7 04:21:15 2022 reduce to 164533558 relations and 128306897 ideals in 6 passes
  187. Mon Mar 7 04:21:15 2022 max relations containing the same ideal: 101
  188. Mon Mar 7 04:21:49 2022 removing 5915182 relations and 3915182 ideals in 2000000 cliques
  189. Mon Mar 7 04:21:52 2022 commencing in-memory singleton removal
  190. Mon Mar 7 04:21:56 2022 begin with 158618376 relations and 128306897 unique ideals
  191. Mon Mar 7 04:22:27 2022 reduce to 158456233 relations and 124227266 ideals in 6 passes
  192. Mon Mar 7 04:22:27 2022 max relations containing the same ideal: 100
  193. Mon Mar 7 04:23:01 2022 removing 5930740 relations and 3930740 ideals in 2000000 cliques
  194. Mon Mar 7 04:23:04 2022 commencing in-memory singleton removal
  195. Mon Mar 7 04:23:08 2022 begin with 152525493 relations and 124227266 unique ideals
  196. Mon Mar 7 04:23:37 2022 reduce to 152357269 relations and 120125884 ideals in 6 passes
  197. Mon Mar 7 04:23:37 2022 max relations containing the same ideal: 97
  198. Mon Mar 7 04:24:10 2022 removing 5950072 relations and 3950072 ideals in 2000000 cliques
  199. Mon Mar 7 04:24:13 2022 commencing in-memory singleton removal
  200. Mon Mar 7 04:24:16 2022 begin with 146407197 relations and 120125884 unique ideals
  201. Mon Mar 7 04:24:49 2022 reduce to 146230879 relations and 115996896 ideals in 7 passes
  202. Mon Mar 7 04:24:49 2022 max relations containing the same ideal: 93
  203. Mon Mar 7 04:25:21 2022 removing 5971459 relations and 3971459 ideals in 2000000 cliques
  204. Mon Mar 7 04:25:24 2022 commencing in-memory singleton removal
  205. Mon Mar 7 04:25:27 2022 begin with 140259420 relations and 115996896 unique ideals
  206. Mon Mar 7 04:25:54 2022 reduce to 140075859 relations and 111839111 ideals in 6 passes
  207. Mon Mar 7 04:25:54 2022 max relations containing the same ideal: 91
  208. Mon Mar 7 04:26:24 2022 removing 6000050 relations and 4000050 ideals in 2000000 cliques
  209. Mon Mar 7 04:26:27 2022 commencing in-memory singleton removal
  210. Mon Mar 7 04:26:30 2022 begin with 134075809 relations and 111839111 unique ideals
  211. Mon Mar 7 04:26:56 2022 reduce to 133885096 relations and 107645405 ideals in 6 passes
  212. Mon Mar 7 04:26:56 2022 max relations containing the same ideal: 90
  213. Mon Mar 7 04:27:25 2022 removing 6027819 relations and 4027819 ideals in 2000000 cliques
  214. Mon Mar 7 04:27:27 2022 commencing in-memory singleton removal
  215. Mon Mar 7 04:27:30 2022 begin with 127857277 relations and 107645405 unique ideals
  216. Mon Mar 7 04:27:55 2022 reduce to 127655264 relations and 103412455 ideals in 6 passes
  217. Mon Mar 7 04:27:55 2022 max relations containing the same ideal: 85
  218. Mon Mar 7 04:28:23 2022 removing 6060716 relations and 4060716 ideals in 2000000 cliques
  219. Mon Mar 7 04:28:25 2022 commencing in-memory singleton removal
  220. Mon Mar 7 04:28:28 2022 begin with 121594548 relations and 103412455 unique ideals
  221. Mon Mar 7 04:28:51 2022 reduce to 121381351 relations and 99135041 ideals in 6 passes
  222. Mon Mar 7 04:28:51 2022 max relations containing the same ideal: 81
  223. Mon Mar 7 04:29:18 2022 removing 6100359 relations and 4100359 ideals in 2000000 cliques
  224. Mon Mar 7 04:29:20 2022 commencing in-memory singleton removal
  225. Mon Mar 7 04:29:23 2022 begin with 115280992 relations and 99135041 unique ideals
  226. Mon Mar 7 04:29:45 2022 reduce to 115054973 relations and 94804829 ideals in 6 passes
  227. Mon Mar 7 04:29:45 2022 max relations containing the same ideal: 78
  228. Mon Mar 7 04:30:10 2022 removing 6148688 relations and 4148688 ideals in 2000000 cliques
  229. Mon Mar 7 04:30:13 2022 commencing in-memory singleton removal
  230. Mon Mar 7 04:30:16 2022 begin with 108906285 relations and 94804829 unique ideals
  231. Mon Mar 7 04:30:36 2022 reduce to 108665640 relations and 90411420 ideals in 6 passes
  232. Mon Mar 7 04:30:36 2022 max relations containing the same ideal: 75
  233. Mon Mar 7 04:31:00 2022 removing 6197425 relations and 4197425 ideals in 2000000 cliques
  234. Mon Mar 7 04:31:03 2022 commencing in-memory singleton removal
  235. Mon Mar 7 04:31:05 2022 begin with 102468215 relations and 90411420 unique ideals
  236. Mon Mar 7 04:31:25 2022 reduce to 102211673 relations and 85952807 ideals in 6 passes
  237. Mon Mar 7 04:31:25 2022 max relations containing the same ideal: 73
  238. Mon Mar 7 04:31:48 2022 removing 6261594 relations and 4261594 ideals in 2000000 cliques
  239. Mon Mar 7 04:31:50 2022 commencing in-memory singleton removal
  240. Mon Mar 7 04:31:52 2022 begin with 95950079 relations and 85952807 unique ideals
  241. Mon Mar 7 04:32:13 2022 reduce to 95674396 relations and 81410241 ideals in 7 passes
  242. Mon Mar 7 04:32:13 2022 max relations containing the same ideal: 70
  243. Mon Mar 7 04:32:35 2022 removing 6329423 relations and 4329423 ideals in 2000000 cliques
  244. Mon Mar 7 04:32:37 2022 commencing in-memory singleton removal
  245. Mon Mar 7 04:32:39 2022 begin with 89344973 relations and 81410241 unique ideals
  246. Mon Mar 7 04:32:59 2022 reduce to 89044749 relations and 76774780 ideals in 7 passes
  247. Mon Mar 7 04:32:59 2022 max relations containing the same ideal: 67
  248. Mon Mar 7 04:33:19 2022 removing 6407581 relations and 4407581 ideals in 2000000 cliques
  249. Mon Mar 7 04:33:21 2022 commencing in-memory singleton removal
  250. Mon Mar 7 04:33:23 2022 begin with 82637168 relations and 76774780 unique ideals
  251. Mon Mar 7 04:33:42 2022 reduce to 82306686 relations and 72029889 ideals in 7 passes
  252. Mon Mar 7 04:33:42 2022 max relations containing the same ideal: 64
  253. Mon Mar 7 04:34:01 2022 removing 6495296 relations and 4495296 ideals in 2000000 cliques
  254. Mon Mar 7 04:34:03 2022 commencing in-memory singleton removal
  255. Mon Mar 7 04:34:05 2022 begin with 75811390 relations and 72029889 unique ideals
  256. Mon Mar 7 04:34:19 2022 reduce to 75445452 relations and 67160659 ideals in 6 passes
  257. Mon Mar 7 04:34:19 2022 max relations containing the same ideal: 63
  258. Mon Mar 7 04:34:36 2022 removing 6603750 relations and 4603750 ideals in 2000000 cliques
  259. Mon Mar 7 04:34:38 2022 commencing in-memory singleton removal
  260. Mon Mar 7 04:34:40 2022 begin with 68841702 relations and 67160659 unique ideals
  261. Mon Mar 7 04:34:55 2022 reduce to 68429407 relations and 62135101 ideals in 7 passes
  262. Mon Mar 7 04:34:55 2022 max relations containing the same ideal: 57
  263. Mon Mar 7 04:35:11 2022 removing 6726731 relations and 4726731 ideals in 2000000 cliques
  264. Mon Mar 7 04:35:13 2022 commencing in-memory singleton removal
  265. Mon Mar 7 04:35:15 2022 begin with 61702676 relations and 62135101 unique ideals
  266. Mon Mar 7 04:35:30 2022 reduce to 61226303 relations and 56919966 ideals in 8 passes
  267. Mon Mar 7 04:35:30 2022 max relations containing the same ideal: 53
  268. Mon Mar 7 04:35:45 2022 removing 4787155 relations and 3500200 ideals in 1286955 cliques
  269. Mon Mar 7 04:35:46 2022 commencing in-memory singleton removal
  270. Mon Mar 7 04:35:48 2022 begin with 56439148 relations and 56919966 unique ideals
  271. Mon Mar 7 04:36:01 2022 reduce to 56165961 relations and 53141640 ideals in 8 passes
  272. Mon Mar 7 04:36:01 2022 max relations containing the same ideal: 53
  273. Mon Mar 7 04:36:20 2022 relations with 0 large ideals: 202964
  274. Mon Mar 7 04:36:20 2022 relations with 1 large ideals: 108304
  275. Mon Mar 7 04:36:20 2022 relations with 2 large ideals: 1110126
  276. Mon Mar 7 04:36:20 2022 relations with 3 large ideals: 4901156
  277. Mon Mar 7 04:36:20 2022 relations with 4 large ideals: 11568746
  278. Mon Mar 7 04:36:20 2022 relations with 5 large ideals: 17092528
  279. Mon Mar 7 04:36:20 2022 relations with 6 large ideals: 12510430
  280. Mon Mar 7 04:36:20 2022 relations with 7+ large ideals: 8671707
  281. Mon Mar 7 04:36:20 2022 commencing 2-way merge
  282. Mon Mar 7 04:36:39 2022 reduce to 36392741 relation sets and 33368420 unique ideals
  283. Mon Mar 7 04:36:39 2022 commencing full merge
  284. Mon Mar 7 04:44:13 2022 memory use: 4051.6 MB
  285. Mon Mar 7 04:44:15 2022 found 16357568 cycles, need 16090620
  286. Mon Mar 7 04:44:19 2022 weight of 16090620 cycles is about 1931077766 (120.01/cycle)
  287. Mon Mar 7 04:44:19 2022 distribution of cycle lengths:
  288. Mon Mar 7 04:44:19 2022 1 relations: 781224
  289. Mon Mar 7 04:44:19 2022 2 relations: 862104
  290. Mon Mar 7 04:44:19 2022 3 relations: 1002232
  291. Mon Mar 7 04:44:19 2022 4 relations: 1061107
  292. Mon Mar 7 04:44:19 2022 5 relations: 1095926
  293. Mon Mar 7 04:44:19 2022 6 relations: 1118446
  294. Mon Mar 7 04:44:19 2022 7 relations: 1115483
  295. Mon Mar 7 04:44:19 2022 8 relations: 1095335
  296. Mon Mar 7 04:44:19 2022 9 relations: 1049612
  297. Mon Mar 7 04:44:19 2022 10+ relations: 6909151
  298. Mon Mar 7 04:44:19 2022 heaviest cycle: 28 relations
  299. Mon Mar 7 04:44:21 2022 commencing cycle optimization
  300. Mon Mar 7 04:44:46 2022 start with 146877005 relations
  301. Mon Mar 7 04:48:24 2022 pruned 7169381 relations
  302. Mon Mar 7 04:48:24 2022 memory use: 3800.0 MB
  303. Mon Mar 7 04:48:24 2022 distribution of cycle lengths:
  304. Mon Mar 7 04:48:24 2022 1 relations: 781224
  305. Mon Mar 7 04:48:24 2022 2 relations: 881197
  306. Mon Mar 7 04:48:24 2022 3 relations: 1043587
  307. Mon Mar 7 04:48:24 2022 4 relations: 1107612
  308. Mon Mar 7 04:48:24 2022 5 relations: 1156307
  309. Mon Mar 7 04:48:24 2022 6 relations: 1180569
  310. Mon Mar 7 04:48:24 2022 7 relations: 1185243
  311. Mon Mar 7 04:48:24 2022 8 relations: 1160909
  312. Mon Mar 7 04:48:24 2022 9 relations: 1113789
  313. Mon Mar 7 04:48:24 2022 10+ relations: 6480183
  314. Mon Mar 7 04:48:24 2022 heaviest cycle: 28 relations
  315. Mon Mar 7 04:48:41 2022 RelProcTime: 10233
  316. Mon Mar 7 04:48:41 2022
  317. Mon Mar 7 04:48:41 2022 commencing linear algebra
  318. Mon Mar 7 04:48:41 2022 using VBITS=384
  319. Mon Mar 7 04:48:42 2022 read 16090620 cycles
  320. Mon Mar 7 04:49:06 2022 cycles contain 54642214 unique relations
  321. Mon Mar 7 04:52:27 2022 read 54642214 relations
  322. Mon Mar 7 04:53:45 2022 using 20 quadratic characters above 4294917295
  323. Mon Mar 7 04:56:14 2022 building initial matrix
  324. Mon Mar 7 05:03:14 2022 memory use: 6860.9 MB
  325. Mon Mar 7 05:03:19 2022 read 16090620 cycles
  326. Mon Mar 7 05:03:21 2022 matrix is 16090440 x 16090620 (7564.3 MB) with weight 2160162768 (134.25/col)
  327. Mon Mar 7 05:03:21 2022 sparse part has weight 1805941320 (112.24/col)
  328. Mon Mar 7 05:05:13 2022 filtering completed in 2 passes
  329. Mon Mar 7 05:05:16 2022 matrix is 16089411 x 16089560 (7564.2 MB) with weight 2160119300 (134.26/col)
  330. Mon Mar 7 05:05:16 2022 sparse part has weight 1805920570 (112.24/col)
  331. Mon Mar 7 05:05:44 2022 matrix starts at (0, 0)
  332. Mon Mar 7 05:05:45 2022 matrix is 16089411 x 16089560 (7564.2 MB) with weight 2160119300 (134.26/col)
  333. Mon Mar 7 05:05:45 2022 sparse part has weight 1805920570 (112.24/col)
  334. Mon Mar 7 05:05:45 2022 saving the first 368 matrix rows for later
  335. Mon Mar 7 05:05:47 2022 matrix includes 384 packed rows
  336. Mon Mar 7 05:05:54 2022 matrix is 16089043 x 16089560 (7044.9 MB) with weight 1603894528 (99.69/col)
  337. Mon Mar 7 05:05:54 2022 sparse part has weight 1524999824 (94.78/col)
  338. Mon Mar 7 05:05:54 2022 using GPU 1 (Tesla V100-PCIE-32GB)
  339. Mon Mar 7 05:05:54 2022 selected card has CUDA arch 7.0
  340. Mon Mar 7 05:06:53 2022 commencing Lanczos iteration
  341. Mon Mar 7 05:06:54 2022 memory use: 17649.8 MB
  342. Mon Mar 7 05:07:00 2022 linear algebra at 0.0%, ETA 11h38m
  343. Mon Mar 7 05:07:05 2022 checkpointing every 1390000 dimensions
  344. Mon Mar 7 15:25:02 2022 lanczos halted after 41984 iterations (dim = 16089041)
  345. Mon Mar 7 15:26:21 2022 recovered 38 nontrivial dependencies
  346. Mon Mar 7 15:26:22 2022 BLanczosTime: 38261
  347. Mon Mar 7 15:26:22 2022
  348. Mon Mar 7 15:26:22 2022 commencing square root phase
  349. Mon Mar 7 15:26:22 2022 handling dependencies 1 to 64
  350. Mon Mar 7 15:26:22 2022 reading relations for dependency 1
  351. Mon Mar 7 15:26:23 2022 read 8043622 cycles
  352. Mon Mar 7 15:26:35 2022 cycles contain 27317444 unique relations
  353. Mon Mar 7 15:28:31 2022 read 27317444 relations
  354. Mon Mar 7 15:29:48 2022 multiplying 27317444 relations
  355. Mon Mar 7 15:36:11 2022 multiply complete, coefficients have about 732.76 million bits
  356. Mon Mar 7 15:36:13 2022 initial square root is modulo 3749597
  357. Mon Mar 7 15:44:15 2022 GCD is N, no factor found
  358. Mon Mar 7 15:44:15 2022 reading relations for dependency 2
  359. Mon Mar 7 15:44:17 2022 read 8045090 cycles
  360. Mon Mar 7 15:44:29 2022 cycles contain 27322538 unique relations
  361. Mon Mar 7 15:46:11 2022 read 27322538 relations
  362. Mon Mar 7 15:47:30 2022 multiplying 27322538 relations
  363. Mon Mar 7 15:53:53 2022 multiply complete, coefficients have about 732.89 million bits
  364. Mon Mar 7 15:53:55 2022 initial square root is modulo 3759643
  365. Mon Mar 7 16:01:57 2022 GCD is 1, no factor found
  366. Mon Mar 7 16:01:57 2022 reading relations for dependency 3
  367. Mon Mar 7 16:01:59 2022 read 8046993 cycles
  368. Mon Mar 7 16:02:11 2022 cycles contain 27334600 unique relations
  369. Mon Mar 7 16:04:05 2022 read 27334600 relations
  370. Mon Mar 7 16:05:23 2022 multiplying 27334600 relations
  371. Mon Mar 7 16:11:47 2022 multiply complete, coefficients have about 733.21 million bits
  372. Mon Mar 7 16:11:49 2022 initial square root is modulo 3784577
  373. Mon Mar 7 16:19:51 2022 sqrtTime: 3209
  374. Mon Mar 7 16:19:51 2022 p88 factor: 5545380314234354391960099955343830633252270248263928992325408885074332219104312732536051
  375. Mon Mar 7 16:19:51 2022 p105 factor: 651999570870794537932350316998248111778380386963919190681377587643695897819423594356589526105674085724301
  376. Mon Mar 7 16:19:51 2022 elapsed time 14:21:43
  377.  
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