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gchilders

13_2_913m1

Dec 23rd, 2021
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  1. Tue Dec 21 16:33:20 2021
  2. Tue Dec 21 16:33:20 2021
  3. Tue Dec 21 16:33:20 2021 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 21 16:33:20 2021 random seeds: bc78536f 5caba302
  5. Tue Dec 21 16:33:20 2021 MPI process 0 of 1
  6. Tue Dec 21 16:33:20 2021 factoring 7868279975034722959071089911776340077279985475175057169778295365912022291434741325202055994132844974116360488697176607423959841311508672615367756061406201727076556569856697096774869373810646027562972767291785311780836397676246884008363799730159036469116949 (256 digits)
  7. Tue Dec 21 16:33:25 2021 no P-1/P+1/ECM available, skipping
  8. Tue Dec 21 16:33:25 2021 commencing number field sieve (256-digit input)
  9. Tue Dec 21 16:33:25 2021 R0: 5708990770823839524233143877797980545530986496
  10. Tue Dec 21 16:33:25 2021 R1: -1
  11. Tue Dec 21 16:33:25 2021 A0: -1
  12. Tue Dec 21 16:33:25 2021 A1: 0
  13. Tue Dec 21 16:33:25 2021 A2: 0
  14. Tue Dec 21 16:33:25 2021 A3: 0
  15. Tue Dec 21 16:33:25 2021 A4: 0
  16. Tue Dec 21 16:33:25 2021 A5: 0
  17. Tue Dec 21 16:33:25 2021 A6: 26
  18. Tue Dec 21 16:33:25 2021 skew 0.60, size 1.713e-13, alpha 0.805, combined = 2.987e-14 rroots = 2
  19. Tue Dec 21 16:33:25 2021
  20. Tue Dec 21 16:33:25 2021 commencing relation filtering
  21. Tue Dec 21 16:33:25 2021 setting target matrix density to 130.0
  22. Tue Dec 21 16:33:25 2021 estimated available RAM is 32620.8 MB
  23. Tue Dec 21 16:33:25 2021 commencing duplicate removal, pass 1
  24. Tue Dec 21 19:28:58 2021 skipped 7434 relations with b > 2^32
  25. Tue Dec 21 19:28:58 2021 skipped 85 relations with composite factors
  26. Tue Dec 21 19:28:58 2021 found 43451093 hash collisions in 462899093 relations
  27. Tue Dec 21 19:29:36 2021 added 1218589 free relations
  28. Tue Dec 21 19:29:36 2021 commencing duplicate removal, pass 2
  29. Tue Dec 21 19:35:33 2021 found 1 duplicates and 464117681 unique relations
  30. Tue Dec 21 19:35:33 2021 memory use: 2259.0 MB
  31. Tue Dec 21 19:35:33 2021 reading ideals above 259981312
  32. Tue Dec 21 19:35:33 2021 commencing singleton removal, initial pass
  33. Tue Dec 21 21:50:14 2021 memory use: 11024.0 MB
  34. Tue Dec 21 21:50:14 2021 reading all ideals from disk
  35. Tue Dec 21 21:50:21 2021 memory use: 8619.9 MB
  36. Tue Dec 21 21:55:07 2021 commencing in-memory singleton removal
  37. Tue Dec 21 21:59:51 2021 begin with 464117681 relations and 423078948 unique ideals
  38. Tue Dec 21 22:54:02 2021 reduce to 262343036 relations and 198295007 ideals in 18 passes
  39. Tue Dec 21 22:54:02 2021 max relations containing the same ideal: 44
  40. Tue Dec 21 22:57:07 2021 reading ideals above 720000
  41. Tue Dec 21 22:57:07 2021 commencing singleton removal, initial pass
  42. Wed Dec 22 00:37:15 2021 memory use: 6024.0 MB
  43. Wed Dec 22 00:37:15 2021 reading all ideals from disk
  44. Wed Dec 22 00:37:25 2021 memory use: 11149.6 MB
  45. Wed Dec 22 00:43:35 2021 keeping 225323257 ideals with weight <= 200, target excess is 1357232
  46. Wed Dec 22 00:49:41 2021 commencing in-memory singleton removal
  47. Wed Dec 22 00:54:31 2021 begin with 262343036 relations and 225323257 unique ideals
  48. Wed Dec 22 01:25:20 2021 reduce to 262340945 relations and 225321166 ideals in 7 passes
  49. Wed Dec 22 01:25:20 2021 max relations containing the same ideal: 200
  50. Wed Dec 22 01:44:42 2021 removing 15536542 relations and 13536542 ideals in 2000000 cliques
  51. Wed Dec 22 01:44:56 2021 commencing in-memory singleton removal
  52. Wed Dec 22 01:49:38 2021 begin with 246804403 relations and 225321166 unique ideals
  53. Wed Dec 22 02:32:10 2021 reduce to 246085920 relations and 211058442 ideals in 9 passes
  54. Wed Dec 22 02:32:10 2021 max relations containing the same ideal: 199
  55. Wed Dec 22 02:52:41 2021 removing 11623624 relations and 9623624 ideals in 2000000 cliques
  56. Wed Dec 22 02:52:54 2021 commencing in-memory singleton removal
  57. Wed Dec 22 02:56:58 2021 begin with 234462296 relations and 211058442 unique ideals
  58. Wed Dec 22 03:29:51 2021 reduce to 234015477 relations and 200983907 ideals in 8 passes
  59. Wed Dec 22 03:29:51 2021 max relations containing the same ideal: 195
  60. Wed Dec 22 03:48:05 2021 removing 10401885 relations and 8401885 ideals in 2000000 cliques
  61. Wed Dec 22 03:48:16 2021 commencing in-memory singleton removal
  62. Wed Dec 22 03:52:00 2021 begin with 223613592 relations and 200983907 unique ideals
  63. Wed Dec 22 04:22:06 2021 reduce to 223231261 relations and 192196411 ideals in 8 passes
  64. Wed Dec 22 04:22:06 2021 max relations containing the same ideal: 192
  65. Wed Dec 22 04:38:59 2021 removing 9732488 relations and 7732488 ideals in 2000000 cliques
  66. Wed Dec 22 04:39:10 2021 commencing in-memory singleton removal
  67. Wed Dec 22 04:43:09 2021 begin with 213498773 relations and 192196411 unique ideals
  68. Wed Dec 22 05:11:16 2021 reduce to 213148401 relations and 184110427 ideals in 7 passes
  69. Wed Dec 22 05:11:16 2021 max relations containing the same ideal: 184
  70. Wed Dec 22 05:28:58 2021 removing 9301510 relations and 7301510 ideals in 2000000 cliques
  71. Wed Dec 22 05:29:08 2021 commencing in-memory singleton removal
  72. Wed Dec 22 05:32:55 2021 begin with 203846891 relations and 184110427 unique ideals
  73. Wed Dec 22 05:59:38 2021 reduce to 203511329 relations and 176470308 ideals in 7 passes
  74. Wed Dec 22 05:59:38 2021 max relations containing the same ideal: 180
  75. Wed Dec 22 06:16:32 2021 removing 8995026 relations and 6995026 ideals in 2000000 cliques
  76. Wed Dec 22 06:16:42 2021 commencing in-memory singleton removal
  77. Wed Dec 22 06:20:18 2021 begin with 194516303 relations and 176470308 unique ideals
  78. Wed Dec 22 06:45:45 2021 reduce to 194186332 relations and 169142330 ideals in 7 passes
  79. Wed Dec 22 06:45:45 2021 max relations containing the same ideal: 175
  80. Wed Dec 22 07:01:48 2021 removing 8779412 relations and 6779412 ideals in 2000000 cliques
  81. Wed Dec 22 07:01:58 2021 commencing in-memory singleton removal
  82. Wed Dec 22 07:04:57 2021 begin with 185406920 relations and 169142330 unique ideals
  83. Wed Dec 22 07:29:07 2021 reduce to 185080445 relations and 162033257 ideals in 8 passes
  84. Wed Dec 22 07:29:07 2021 max relations containing the same ideal: 169
  85. Wed Dec 22 07:42:56 2021 removing 8617039 relations and 6617039 ideals in 2000000 cliques
  86. Wed Dec 22 07:43:06 2021 commencing in-memory singleton removal
  87. Wed Dec 22 07:45:49 2021 begin with 176463406 relations and 162033257 unique ideals
  88. Wed Dec 22 08:07:44 2021 reduce to 176132905 relations and 155082549 ideals in 8 passes
  89. Wed Dec 22 08:07:44 2021 max relations containing the same ideal: 163
  90. Wed Dec 22 08:20:20 2021 removing 8495879 relations and 6495879 ideals in 2000000 cliques
  91. Wed Dec 22 08:20:29 2021 commencing in-memory singleton removal
  92. Wed Dec 22 08:23:02 2021 begin with 167637026 relations and 155082549 unique ideals
  93. Wed Dec 22 08:43:43 2021 reduce to 167302136 relations and 148248391 ideals in 8 passes
  94. Wed Dec 22 08:43:43 2021 max relations containing the same ideal: 160
  95. Wed Dec 22 08:55:23 2021 removing 8406524 relations and 6406524 ideals in 2000000 cliques
  96. Wed Dec 22 08:55:32 2021 commencing in-memory singleton removal
  97. Wed Dec 22 08:57:56 2021 begin with 158895612 relations and 148248391 unique ideals
  98. Wed Dec 22 09:17:23 2021 reduce to 158550591 relations and 141493256 ideals in 8 passes
  99. Wed Dec 22 09:17:23 2021 max relations containing the same ideal: 155
  100. Wed Dec 22 09:28:21 2021 removing 8359638 relations and 6359638 ideals in 2000000 cliques
  101. Wed Dec 22 09:28:29 2021 commencing in-memory singleton removal
  102. Wed Dec 22 09:30:44 2021 begin with 150190953 relations and 141493256 unique ideals
  103. Wed Dec 22 09:48:59 2021 reduce to 149833375 relations and 134772093 ideals in 8 passes
  104. Wed Dec 22 09:48:59 2021 max relations containing the same ideal: 149
  105. Wed Dec 22 09:59:19 2021 removing 8322159 relations and 6322159 ideals in 2000000 cliques
  106. Wed Dec 22 09:59:27 2021 commencing in-memory singleton removal
  107. Wed Dec 22 10:01:33 2021 begin with 141511216 relations and 134772093 unique ideals
  108. Wed Dec 22 10:16:28 2021 reduce to 141137309 relations and 128071676 ideals in 7 passes
  109. Wed Dec 22 10:16:28 2021 max relations containing the same ideal: 143
  110. Wed Dec 22 10:26:10 2021 removing 8309889 relations and 6309889 ideals in 2000000 cliques
  111. Wed Dec 22 10:26:18 2021 commencing in-memory singleton removal
  112. Wed Dec 22 10:28:15 2021 begin with 132827420 relations and 128071676 unique ideals
  113. Wed Dec 22 10:42:08 2021 reduce to 132432913 relations and 121362445 ideals in 7 passes
  114. Wed Dec 22 10:42:08 2021 max relations containing the same ideal: 137
  115. Wed Dec 22 10:51:11 2021 removing 8322429 relations and 6322429 ideals in 2000000 cliques
  116. Wed Dec 22 10:51:19 2021 commencing in-memory singleton removal
  117. Wed Dec 22 10:53:07 2021 begin with 124110484 relations and 121362445 unique ideals
  118. Wed Dec 22 11:07:46 2021 reduce to 123692101 relations and 114616075 ideals in 8 passes
  119. Wed Dec 22 11:07:46 2021 max relations containing the same ideal: 130
  120. Wed Dec 22 11:16:12 2021 removing 8347710 relations and 6347710 ideals in 2000000 cliques
  121. Wed Dec 22 11:16:20 2021 commencing in-memory singleton removal
  122. Wed Dec 22 11:17:59 2021 begin with 115344391 relations and 114616075 unique ideals
  123. Wed Dec 22 11:29:46 2021 reduce to 114892030 relations and 107809903 ideals in 7 passes
  124. Wed Dec 22 11:29:46 2021 max relations containing the same ideal: 122
  125. Wed Dec 22 11:37:35 2021 removing 8393307 relations and 6393307 ideals in 2000000 cliques
  126. Wed Dec 22 11:37:42 2021 commencing in-memory singleton removal
  127. Wed Dec 22 11:39:13 2021 begin with 106498723 relations and 107809903 unique ideals
  128. Wed Dec 22 11:51:28 2021 reduce to 106008800 relations and 100919452 ideals in 8 passes
  129. Wed Dec 22 11:51:28 2021 max relations containing the same ideal: 115
  130. Wed Dec 22 11:58:39 2021 removing 8465586 relations and 6465586 ideals in 2000000 cliques
  131. Wed Dec 22 11:58:46 2021 commencing in-memory singleton removal
  132. Wed Dec 22 12:00:08 2021 begin with 97543214 relations and 100919452 unique ideals
  133. Wed Dec 22 12:11:12 2021 reduce to 97003706 relations and 93905680 ideals in 8 passes
  134. Wed Dec 22 12:11:12 2021 max relations containing the same ideal: 109
  135. Wed Dec 22 12:17:43 2021 removing 6869280 relations and 5345644 ideals in 1523636 cliques
  136. Wed Dec 22 12:17:49 2021 commencing in-memory singleton removal
  137. Wed Dec 22 12:19:03 2021 begin with 90134426 relations and 93905680 unique ideals
  138. Wed Dec 22 12:29:08 2021 reduce to 89750906 relations and 88171363 ideals in 8 passes
  139. Wed Dec 22 12:29:08 2021 max relations containing the same ideal: 103
  140. Wed Dec 22 12:35:44 2021 relations with 0 large ideals: 51751
  141. Wed Dec 22 12:35:44 2021 relations with 1 large ideals: 15448
  142. Wed Dec 22 12:35:44 2021 relations with 2 large ideals: 226938
  143. Wed Dec 22 12:35:44 2021 relations with 3 large ideals: 1629842
  144. Wed Dec 22 12:35:44 2021 relations with 4 large ideals: 6432648
  145. Wed Dec 22 12:35:44 2021 relations with 5 large ideals: 15273054
  146. Wed Dec 22 12:35:44 2021 relations with 6 large ideals: 22911014
  147. Wed Dec 22 12:35:44 2021 relations with 7+ large ideals: 43210211
  148. Wed Dec 22 12:35:44 2021 commencing 2-way merge
  149. Wed Dec 22 12:44:05 2021 reduce to 55839700 relation sets and 54260157 unique ideals
  150. Wed Dec 22 12:44:05 2021 commencing full merge
  151. Wed Dec 22 15:09:23 2021 memory use: 2512.1 MB
  152. Wed Dec 22 15:09:24 2021 found 203550 cycles, need 11896432
  153. Wed Dec 22 15:09:24 2021 too few cycles, matrix probably cannot build
  154. Wed Dec 22 15:09:25 2021 filtering wants 1000000 more relations
  155. Wed Dec 22 15:09:25 2021 elapsed time 22:36:05
  156. Wed Dec 22 16:03:16 2021
  157. Wed Dec 22 16:03:16 2021
  158. Wed Dec 22 16:03:16 2021 Msieve v. 1.54 (SVN unknown)
  159. Wed Dec 22 16:03:16 2021 random seeds: 019c4e4d dc843ff4
  160. Wed Dec 22 16:03:16 2021 factoring 7868279975034722959071089911776340077279985475175057169778295365912022291434741325202055994132844974116360488697176607423959841311508672615367756061406201727076556569856697096774869373810646027562972767291785311780836397676246884008363799730159036469116949 (256 digits)
  161. Wed Dec 22 16:03:16 2021 no P-1/P+1/ECM available, skipping
  162. Wed Dec 22 16:03:16 2021 commencing number field sieve (256-digit input)
  163. Wed Dec 22 16:03:17 2021 R0: 5708990770823839524233143877797980545530986496
  164. Wed Dec 22 16:03:17 2021 R1: -1
  165. Wed Dec 22 16:03:17 2021 A0: -1
  166. Wed Dec 22 16:03:17 2021 A1: 0
  167. Wed Dec 22 16:03:17 2021 A2: 0
  168. Wed Dec 22 16:03:17 2021 A3: 0
  169. Wed Dec 22 16:03:17 2021 A4: 0
  170. Wed Dec 22 16:03:17 2021 A5: 0
  171. Wed Dec 22 16:03:17 2021 A6: 26
  172. Wed Dec 22 16:03:17 2021 skew 0.60, size 1.713e-13, alpha 0.805, combined = 2.987e-14 rroots = 2
  173. Wed Dec 22 16:03:17 2021
  174. Wed Dec 22 16:03:17 2021 commencing relation filtering
  175. Wed Dec 22 16:03:17 2021 setting target matrix density to 120.0
  176. Wed Dec 22 16:03:17 2021 estimated available RAM is 515600.8 MB
  177. Wed Dec 22 16:03:17 2021 commencing duplicate removal, pass 1
  178. Wed Dec 22 16:41:15 2021 skipped 7434 relations with b > 2^32
  179. Wed Dec 22 16:41:15 2021 skipped 85 relations with composite factors
  180. Wed Dec 22 16:41:15 2021 found 43664288 hash collisions in 464117682 relations
  181. Wed Dec 22 16:41:22 2021 commencing duplicate removal, pass 2
  182. Wed Dec 22 16:43:10 2021 found 1 duplicates and 464117681 unique relations
  183. Wed Dec 22 16:43:10 2021 memory use: 2259.0 MB
  184. Wed Dec 22 16:43:10 2021 reading ideals above 720000
  185. Wed Dec 22 16:43:10 2021 commencing singleton removal, initial pass
  186. Wed Dec 22 17:24:04 2021 memory use: 11024.0 MB
  187. Wed Dec 22 17:24:04 2021 reading all ideals from disk
  188. Wed Dec 22 17:24:23 2021 memory use: 19737.8 MB
  189. Wed Dec 22 17:24:40 2021 keeping 449071516 ideals with weight <= 200, target excess is 2393035
  190. Wed Dec 22 17:25:08 2021 commencing in-memory singleton removal
  191. Wed Dec 22 17:25:21 2021 begin with 464117681 relations and 449071516 unique ideals
  192. Wed Dec 22 17:28:10 2021 reduce to 262340945 relations and 224285363 ideals in 18 passes
  193. Wed Dec 22 17:28:10 2021 max relations containing the same ideal: 144
  194. Wed Dec 22 17:29:10 2021 removing 15516642 relations and 13516642 ideals in 2000000 cliques
  195. Wed Dec 22 17:29:16 2021 commencing in-memory singleton removal
  196. Wed Dec 22 17:29:23 2021 begin with 246824303 relations and 224285363 unique ideals
  197. Wed Dec 22 17:30:36 2021 reduce to 246104161 relations and 210040867 ideals in 9 passes
  198. Wed Dec 22 17:30:36 2021 max relations containing the same ideal: 141
  199. Wed Dec 22 17:31:32 2021 removing 11607330 relations and 9607330 ideals in 2000000 cliques
  200. Wed Dec 22 17:31:37 2021 commencing in-memory singleton removal
  201. Wed Dec 22 17:31:43 2021 begin with 234496831 relations and 210040867 unique ideals
  202. Wed Dec 22 17:32:45 2021 reduce to 234049262 relations and 199981889 ideals in 8 passes
  203. Wed Dec 22 17:32:45 2021 max relations containing the same ideal: 136
  204. Wed Dec 22 17:33:38 2021 removing 10388667 relations and 8388667 ideals in 2000000 cliques
  205. Wed Dec 22 17:33:43 2021 commencing in-memory singleton removal
  206. Wed Dec 22 17:33:49 2021 begin with 223660595 relations and 199981889 unique ideals
  207. Wed Dec 22 17:34:48 2021 reduce to 223277574 relations and 191206914 ideals in 8 passes
  208. Wed Dec 22 17:34:48 2021 max relations containing the same ideal: 130
  209. Wed Dec 22 17:35:39 2021 removing 9719847 relations and 7719847 ideals in 2000000 cliques
  210. Wed Dec 22 17:35:43 2021 commencing in-memory singleton removal
  211. Wed Dec 22 17:35:49 2021 begin with 213557727 relations and 191206914 unique ideals
  212. Wed Dec 22 17:36:38 2021 reduce to 213205844 relations and 183132058 ideals in 7 passes
  213. Wed Dec 22 17:36:38 2021 max relations containing the same ideal: 127
  214. Wed Dec 22 17:37:27 2021 removing 9290264 relations and 7290264 ideals in 2000000 cliques
  215. Wed Dec 22 17:37:31 2021 commencing in-memory singleton removal
  216. Wed Dec 22 17:37:37 2021 begin with 203915580 relations and 183132058 unique ideals
  217. Wed Dec 22 17:38:24 2021 reduce to 203579916 relations and 175503113 ideals in 7 passes
  218. Wed Dec 22 17:38:24 2021 max relations containing the same ideal: 122
  219. Wed Dec 22 17:39:11 2021 removing 8986822 relations and 6986822 ideals in 2000000 cliques
  220. Wed Dec 22 17:39:15 2021 commencing in-memory singleton removal
  221. Wed Dec 22 17:39:20 2021 begin with 194593094 relations and 175503113 unique ideals
  222. Wed Dec 22 17:40:11 2021 reduce to 194262028 relations and 168182192 ideals in 8 passes
  223. Wed Dec 22 17:40:11 2021 max relations containing the same ideal: 119
  224. Wed Dec 22 17:40:56 2021 removing 8767797 relations and 6767797 ideals in 2000000 cliques
  225. Wed Dec 22 17:41:00 2021 commencing in-memory singleton removal
  226. Wed Dec 22 17:41:05 2021 begin with 185494231 relations and 168182192 unique ideals
  227. Wed Dec 22 17:41:54 2021 reduce to 185166430 relations and 161083500 ideals in 8 passes
  228. Wed Dec 22 17:41:54 2021 max relations containing the same ideal: 116
  229. Wed Dec 22 17:42:37 2021 removing 8606526 relations and 6606526 ideals in 2000000 cliques
  230. Wed Dec 22 17:42:40 2021 commencing in-memory singleton removal
  231. Wed Dec 22 17:42:45 2021 begin with 176559904 relations and 161083500 unique ideals
  232. Wed Dec 22 17:43:31 2021 reduce to 176228646 relations and 154142462 ideals in 8 passes
  233. Wed Dec 22 17:43:31 2021 max relations containing the same ideal: 111
  234. Wed Dec 22 17:44:13 2021 removing 8486735 relations and 6486735 ideals in 2000000 cliques
  235. Wed Dec 22 17:44:16 2021 commencing in-memory singleton removal
  236. Wed Dec 22 17:44:21 2021 begin with 167741911 relations and 154142462 unique ideals
  237. Wed Dec 22 17:45:04 2021 reduce to 167405345 relations and 147315707 ideals in 8 passes
  238. Wed Dec 22 17:45:04 2021 max relations containing the same ideal: 107
  239. Wed Dec 22 17:45:44 2021 removing 8402484 relations and 6402484 ideals in 2000000 cliques
  240. Wed Dec 22 17:45:47 2021 commencing in-memory singleton removal
  241. Wed Dec 22 17:45:52 2021 begin with 159002861 relations and 147315707 unique ideals
  242. Wed Dec 22 17:46:33 2021 reduce to 158657162 relations and 140563831 ideals in 8 passes
  243. Wed Dec 22 17:46:33 2021 max relations containing the same ideal: 102
  244. Wed Dec 22 17:47:11 2021 removing 8352380 relations and 6352380 ideals in 2000000 cliques
  245. Wed Dec 22 17:47:14 2021 commencing in-memory singleton removal
  246. Wed Dec 22 17:47:18 2021 begin with 150304782 relations and 140563831 unique ideals
  247. Wed Dec 22 17:47:52 2021 reduce to 149946032 relations and 133848719 ideals in 7 passes
  248. Wed Dec 22 17:47:52 2021 max relations containing the same ideal: 100
  249. Wed Dec 22 17:48:28 2021 removing 8316384 relations and 6316384 ideals in 2000000 cliques
  250. Wed Dec 22 17:48:31 2021 commencing in-memory singleton removal
  251. Wed Dec 22 17:48:35 2021 begin with 141629648 relations and 133848719 unique ideals
  252. Wed Dec 22 17:49:07 2021 reduce to 141253173 relations and 127151410 ideals in 7 passes
  253. Wed Dec 22 17:49:07 2021 max relations containing the same ideal: 98
  254. Wed Dec 22 17:49:41 2021 removing 8305511 relations and 6305511 ideals in 2000000 cliques
  255. Wed Dec 22 17:49:44 2021 commencing in-memory singleton removal
  256. Wed Dec 22 17:49:48 2021 begin with 132947662 relations and 127151410 unique ideals
  257. Wed Dec 22 17:50:22 2021 reduce to 132549514 relations and 120442928 ideals in 8 passes
  258. Wed Dec 22 17:50:22 2021 max relations containing the same ideal: 95
  259. Wed Dec 22 17:50:54 2021 removing 8319243 relations and 6319243 ideals in 2000000 cliques
  260. Wed Dec 22 17:50:57 2021 commencing in-memory singleton removal
  261. Wed Dec 22 17:51:00 2021 begin with 124230271 relations and 120442928 unique ideals
  262. Wed Dec 22 17:51:37 2021 reduce to 123809519 relations and 113697454 ideals in 9 passes
  263. Wed Dec 22 17:51:37 2021 max relations containing the same ideal: 92
  264. Wed Dec 22 17:52:07 2021 removing 8343469 relations and 6343469 ideals in 2000000 cliques
  265. Wed Dec 22 17:52:10 2021 commencing in-memory singleton removal
  266. Wed Dec 22 17:52:13 2021 begin with 115466050 relations and 113697454 unique ideals
  267. Wed Dec 22 17:52:43 2021 reduce to 115012210 relations and 106893917 ideals in 8 passes
  268. Wed Dec 22 17:52:43 2021 max relations containing the same ideal: 88
  269. Wed Dec 22 17:53:11 2021 removing 8393730 relations and 6393730 ideals in 2000000 cliques
  270. Wed Dec 22 17:53:14 2021 commencing in-memory singleton removal
  271. Wed Dec 22 17:53:17 2021 begin with 106618480 relations and 106893917 unique ideals
  272. Wed Dec 22 17:53:48 2021 reduce to 106124717 relations and 99999203 ideals in 9 passes
  273. Wed Dec 22 17:53:48 2021 max relations containing the same ideal: 86
  274. Wed Dec 22 17:54:14 2021 removing 8465151 relations and 6465151 ideals in 2000000 cliques
  275. Wed Dec 22 17:54:16 2021 commencing in-memory singleton removal
  276. Wed Dec 22 17:54:19 2021 begin with 97659566 relations and 99999203 unique ideals
  277. Wed Dec 22 17:54:47 2021 reduce to 97114836 relations and 92980764 ideals in 9 passes
  278. Wed Dec 22 17:54:47 2021 max relations containing the same ideal: 77
  279. Wed Dec 22 17:55:11 2021 removing 6266937 relations and 4908786 ideals in 1358151 cliques
  280. Wed Dec 22 17:55:14 2021 commencing in-memory singleton removal
  281. Wed Dec 22 17:55:16 2021 begin with 90847899 relations and 92980764 unique ideals
  282. Wed Dec 22 17:55:39 2021 reduce to 90530446 relations and 87750690 ideals in 8 passes
  283. Wed Dec 22 17:55:39 2021 max relations containing the same ideal: 72
  284. Wed Dec 22 17:56:11 2021 relations with 0 large ideals: 91446
  285. Wed Dec 22 17:56:11 2021 relations with 1 large ideals: 61852
  286. Wed Dec 22 17:56:11 2021 relations with 2 large ideals: 771235
  287. Wed Dec 22 17:56:11 2021 relations with 3 large ideals: 4196627
  288. Wed Dec 22 17:56:11 2021 relations with 4 large ideals: 12361064
  289. Wed Dec 22 17:56:11 2021 relations with 5 large ideals: 21712846
  290. Wed Dec 22 17:56:11 2021 relations with 6 large ideals: 23888288
  291. Wed Dec 22 17:56:11 2021 relations with 7+ large ideals: 27447088
  292. Wed Dec 22 17:56:11 2021 commencing 2-way merge
  293. Wed Dec 22 17:56:43 2021 reduce to 56271629 relation sets and 53491873 unique ideals
  294. Wed Dec 22 17:56:43 2021 commencing full merge
  295. Wed Dec 22 18:10:37 2021 memory use: 6820.7 MB
  296. Wed Dec 22 18:10:41 2021 found 25140818 cycles, need 24964073
  297. Wed Dec 22 18:10:46 2021 weight of 24964073 cycles is about 2996069680 (120.02/cycle)
  298. Wed Dec 22 18:10:46 2021 distribution of cycle lengths:
  299. Wed Dec 22 18:10:46 2021 1 relations: 1675918
  300. Wed Dec 22 18:10:46 2021 2 relations: 1759344
  301. Wed Dec 22 18:10:46 2021 3 relations: 1816406
  302. Wed Dec 22 18:10:46 2021 4 relations: 1778329
  303. Wed Dec 22 18:10:46 2021 5 relations: 1760017
  304. Wed Dec 22 18:10:46 2021 6 relations: 1697565
  305. Wed Dec 22 18:10:46 2021 7 relations: 1644007
  306. Wed Dec 22 18:10:46 2021 8 relations: 1559317
  307. Wed Dec 22 18:10:46 2021 9 relations: 1480390
  308. Wed Dec 22 18:10:46 2021 10+ relations: 9792780
  309. Wed Dec 22 18:10:46 2021 heaviest cycle: 28 relations
  310. Wed Dec 22 18:10:52 2021 commencing cycle optimization
  311. Wed Dec 22 18:11:26 2021 start with 216354283 relations
  312. Wed Dec 22 18:16:27 2021 pruned 8690386 relations
  313. Wed Dec 22 18:16:27 2021 memory use: 5917.0 MB
  314. Wed Dec 22 18:16:27 2021 distribution of cycle lengths:
  315. Wed Dec 22 18:16:27 2021 1 relations: 1675918
  316. Wed Dec 22 18:16:27 2021 2 relations: 1798858
  317. Wed Dec 22 18:16:27 2021 3 relations: 1886404
  318. Wed Dec 22 18:16:27 2021 4 relations: 1843143
  319. Wed Dec 22 18:16:27 2021 5 relations: 1835603
  320. Wed Dec 22 18:16:27 2021 6 relations: 1767922
  321. Wed Dec 22 18:16:27 2021 7 relations: 1714137
  322. Wed Dec 22 18:16:27 2021 8 relations: 1621026
  323. Wed Dec 22 18:16:27 2021 9 relations: 1538064
  324. Wed Dec 22 18:16:27 2021 10+ relations: 9282998
  325. Wed Dec 22 18:16:27 2021 heaviest cycle: 28 relations
  326. Wed Dec 22 18:16:54 2021 RelProcTime: 8017
  327. Wed Dec 22 18:16:54 2021
  328. Wed Dec 22 18:16:54 2021 commencing linear algebra
  329. Wed Dec 22 18:16:54 2021 using VBITS=384
  330. Wed Dec 22 18:16:55 2021 read 24964073 cycles
  331. Wed Dec 22 18:17:31 2021 cycles contain 88783165 unique relations
  332. Wed Dec 22 18:22:41 2021 read 88783165 relations
  333. Wed Dec 22 18:24:41 2021 using 20 quadratic characters above 4294917295
  334. Wed Dec 22 18:28:49 2021 building initial matrix
  335. Wed Dec 22 18:41:23 2021 memory use: 11481.9 MB
  336. Wed Dec 22 18:41:30 2021 read 24964073 cycles
  337. Wed Dec 22 18:41:34 2021 matrix is 24963896 x 24964073 (11782.5 MB) with weight 3419063296 (136.96/col)
  338. Wed Dec 22 18:41:34 2021 sparse part has weight 2814098945 (112.73/col)
  339. Wed Dec 22 18:44:25 2021 filtering completed in 2 passes
  340. Wed Dec 22 18:44:29 2021 matrix is 24962119 x 24962284 (11782.3 MB) with weight 3418992595 (136.97/col)
  341. Wed Dec 22 18:44:29 2021 sparse part has weight 2814074370 (112.73/col)
  342. Wed Dec 22 18:45:10 2021 matrix starts at (0, 0)
  343. Wed Dec 22 18:45:12 2021 matrix is 24962119 x 24962284 (11782.3 MB) with weight 3418992595 (136.97/col)
  344. Wed Dec 22 18:45:12 2021 sparse part has weight 2814074370 (112.73/col)
  345. Wed Dec 22 18:45:12 2021 saving the first 368 matrix rows for later
  346. Wed Dec 22 18:45:16 2021 matrix includes 384 packed rows
  347. Wed Dec 22 18:45:25 2021 matrix is 24961751 x 24962284 (11108.0 MB) with weight 2533888474 (101.51/col)
  348. Wed Dec 22 18:45:25 2021 sparse part has weight 2412657254 (96.65/col)
  349. Wed Dec 22 18:45:25 2021 using GPU 0 (Tesla V100-PCIE-32GB)
  350. Wed Dec 22 18:45:25 2021 selected card has CUDA arch 7.0
  351. Wed Dec 22 18:47:16 2021 commencing Lanczos iteration
  352. Wed Dec 22 18:47:17 2021 memory use: 27929.5 MB
  353. Wed Dec 22 18:47:28 2021 linear algebra at 0.0%, ETA 30h11m
  354. Wed Dec 22 18:47:35 2021 checkpointing every 900000 dimensions
  355. Thu Dec 23 03:58:39 2021 lanczos halted after 23674 iterations (dim = 9072631)
  356. Thu Dec 23 03:58:40 2021 BLanczosTime: 34906
  357. Thu Dec 23 03:59:46 2021
  358. Thu Dec 23 03:59:46 2021
  359. Thu Dec 23 03:59:46 2021 Msieve v. 1.54 (SVN unknown)
  360. Thu Dec 23 03:59:46 2021 random seeds: 230b0621 abaa7891
  361. Thu Dec 23 03:59:46 2021 factoring 7868279975034722959071089911776340077279985475175057169778295365912022291434741325202055994132844974116360488697176607423959841311508672615367756061406201727076556569856697096774869373810646027562972767291785311780836397676246884008363799730159036469116949 (256 digits)
  362. Thu Dec 23 03:59:46 2021 no P-1/P+1/ECM available, skipping
  363. Thu Dec 23 03:59:46 2021 commencing number field sieve (256-digit input)
  364. Thu Dec 23 03:59:46 2021 R0: 5708990770823839524233143877797980545530986496
  365. Thu Dec 23 03:59:46 2021 R1: -1
  366. Thu Dec 23 03:59:46 2021 A0: -1
  367. Thu Dec 23 03:59:46 2021 A1: 0
  368. Thu Dec 23 03:59:46 2021 A2: 0
  369. Thu Dec 23 03:59:46 2021 A3: 0
  370. Thu Dec 23 03:59:46 2021 A4: 0
  371. Thu Dec 23 03:59:46 2021 A5: 0
  372. Thu Dec 23 03:59:46 2021 A6: 26
  373. Thu Dec 23 03:59:46 2021 skew 0.60, size 1.713e-13, alpha 0.805, combined = 2.987e-14 rroots = 2
  374. Thu Dec 23 03:59:46 2021
  375. Thu Dec 23 03:59:46 2021 commencing linear algebra
  376. Thu Dec 23 03:59:46 2021 using VBITS=384
  377. Thu Dec 23 03:59:59 2021 matrix starts at (0, 0)
  378. Thu Dec 23 04:00:03 2021 matrix is 24962119 x 24962284 (11782.3 MB) with weight 3418992595 (136.97/col)
  379. Thu Dec 23 04:00:03 2021 sparse part has weight 2814074370 (112.73/col)
  380. Thu Dec 23 04:00:03 2021 saving the first 368 matrix rows for later
  381. Thu Dec 23 04:00:09 2021 matrix includes 384 packed rows
  382. Thu Dec 23 04:00:17 2021 matrix is 24961751 x 24962284 (11108.0 MB) with weight 2533888474 (101.51/col)
  383. Thu Dec 23 04:00:17 2021 sparse part has weight 2412657254 (96.65/col)
  384. Thu Dec 23 04:00:17 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  385. Thu Dec 23 04:00:17 2021 selected card has CUDA arch 7.0
  386. Thu Dec 23 04:02:10 2021 commencing Lanczos iteration
  387. Thu Dec 23 04:02:11 2021 memory use: 27929.5 MB
  388. Thu Dec 23 04:02:13 2021 restarting at iteration 23674 (dim = 9072631)
  389. Thu Dec 23 04:02:21 2021 linear algebra at 36.4%, ETA 15h19m
  390. Thu Dec 23 04:02:25 2021 checkpointing every 1040000 dimensions
  391. Thu Dec 23 20:07:10 2021 lanczos halted after 65136 iterations (dim = 24961749)
  392. Thu Dec 23 20:10:20 2021 recovered 36 nontrivial dependencies
  393. Thu Dec 23 20:10:21 2021 BLanczosTime: 58235
  394. Thu Dec 23 20:10:21 2021
  395. Thu Dec 23 20:10:21 2021 commencing square root phase
  396. Thu Dec 23 20:10:21 2021 reading relations for dependency 1
  397. Thu Dec 23 20:10:23 2021 read 12483943 cycles
  398. Thu Dec 23 20:10:42 2021 cycles contain 44407094 unique relations
  399. Thu Dec 23 20:13:33 2021 read 44407094 relations
  400. Thu Dec 23 20:15:55 2021 multiplying 44407094 relations
  401. Thu Dec 23 20:44:30 2021 multiply complete, coefficients have about 1360.28 million bits
  402. Thu Dec 23 20:44:34 2021 initial square root is modulo 1264447
  403. Thu Dec 23 21:14:21 2021 GCD is 1, no factor found
  404. Thu Dec 23 21:14:21 2021 reading relations for dependency 2
  405. Thu Dec 23 21:14:24 2021 read 12483900 cycles
  406. Thu Dec 23 21:14:42 2021 cycles contain 44399304 unique relations
  407. Thu Dec 23 21:17:32 2021 read 44399304 relations
  408. Thu Dec 23 21:19:49 2021 multiplying 44399304 relations
  409. Thu Dec 23 21:48:33 2021 multiply complete, coefficients have about 1360.05 million bits
  410. Thu Dec 23 21:48:37 2021 initial square root is modulo 1261327
  411. Thu Dec 23 22:18:33 2021 GCD is 1, no factor found
  412. Thu Dec 23 22:18:33 2021 reading relations for dependency 3
  413. Thu Dec 23 22:18:35 2021 read 12482122 cycles
  414. Thu Dec 23 22:18:53 2021 cycles contain 44391650 unique relations
  415. Thu Dec 23 22:21:42 2021 read 44391650 relations
  416. Thu Dec 23 22:24:00 2021 multiplying 44391650 relations
  417. Thu Dec 23 22:52:35 2021 multiply complete, coefficients have about 1359.82 million bits
  418. Thu Dec 23 22:52:38 2021 initial square root is modulo 1258441
  419. Thu Dec 23 23:22:26 2021 sqrtTime: 11525
  420. Thu Dec 23 23:22:26 2021 p123 factor: 727425183828925641200528846012078406922589006101997559181056913589763251982899275049638906995790187683194432382239735581981
  421. Thu Dec 23 23:22:26 2021 p134 factor: 10816617502323330151104846546840241951640930985035763688342441293176786623155221497826077541557329248543264301541798854571054164829529
  422. Thu Dec 23 23:22:26 2021 elapsed time 19:22:40
  423.  
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