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C214_M31_k70

Apr 27th, 2022
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  1. Wed Apr 27 02:08:44 2022
  2. Wed Apr 27 02:08:44 2022
  3. Wed Apr 27 02:08:44 2022 Msieve v. 1.54 (SVN unknown)
  4. Wed Apr 27 02:08:44 2022 random seeds: 8c2f1c80 d3a632a0
  5. Wed Apr 27 02:08:44 2022 factoring 1952329202661866602684979956787714136482531226833055496710056683028658100012799836257527350037275596384189190550132825485135466639172655355292471161449599261594798638028373903096628381188057821540414523320973594741 (214 digits)
  6. Wed Apr 27 02:08:45 2022 no P-1/P+1/ECM available, skipping
  7. Wed Apr 27 02:08:45 2022 commencing number field sieve (214-digit input)
  8. Wed Apr 27 02:08:45 2022 R0: -45671926060252476630107084286792841360213803007
  9. Wed Apr 27 02:08:45 2022 R1: 1
  10. Wed Apr 27 02:08:45 2022 A0: 1
  11. Wed Apr 27 02:08:45 2022 A1: -1
  12. Wed Apr 27 02:08:45 2022 A2: 1
  13. Wed Apr 27 02:08:45 2022 A3: -1
  14. Wed Apr 27 02:08:45 2022 A4: 1
  15. Wed Apr 27 02:08:45 2022 A5: -1
  16. Wed Apr 27 02:08:45 2022 A6: 1
  17. Wed Apr 27 02:08:45 2022 skew 1.00, size 9.069e-14, alpha 2.428, combined = 1.854e-14 rroots = 0
  18. Wed Apr 27 02:08:45 2022
  19. Wed Apr 27 02:08:45 2022 commencing relation filtering
  20. Wed Apr 27 02:08:45 2022 setting target matrix density to 120.0
  21. Wed Apr 27 02:08:45 2022 estimated available RAM is 515600.8 MB
  22. Wed Apr 27 02:08:45 2022 commencing duplicate removal, pass 1
  23. Wed Apr 27 02:52:44 2022 skipped 7115 relations with b > 2^32
  24. Wed Apr 27 02:52:44 2022 skipped 163 relations with composite factors
  25. Wed Apr 27 02:52:44 2022 found 57402490 hash collisions in 537910817 relations
  26. Wed Apr 27 02:52:49 2022 added 2438534 free relations
  27. Wed Apr 27 02:52:49 2022 commencing duplicate removal, pass 2
  28. Wed Apr 27 02:55:01 2022 found 0 duplicates and 540349351 unique relations
  29. Wed Apr 27 02:55:01 2022 memory use: 2387.0 MB
  30. Wed Apr 27 02:55:01 2022 reading ideals above 720000
  31. Wed Apr 27 02:55:01 2022 commencing singleton removal, initial pass
  32. Wed Apr 27 03:44:11 2022 memory use: 11024.0 MB
  33. Wed Apr 27 03:44:11 2022 reading all ideals from disk
  34. Wed Apr 27 03:44:16 2022 memory use: 23312.4 MB
  35. Wed Apr 27 03:44:37 2022 keeping 492711088 ideals with weight <= 200, target excess is 2758044
  36. Wed Apr 27 03:45:11 2022 commencing in-memory singleton removal
  37. Wed Apr 27 03:45:26 2022 begin with 540349351 relations and 492711088 unique ideals
  38. Wed Apr 27 03:48:39 2022 reduce to 355176743 relations and 289508220 ideals in 15 passes
  39. Wed Apr 27 03:48:39 2022 max relations containing the same ideal: 162
  40. Wed Apr 27 03:49:57 2022 removing 14512383 relations and 12512383 ideals in 2000000 cliques
  41. Wed Apr 27 03:50:04 2022 commencing in-memory singleton removal
  42. Wed Apr 27 03:50:14 2022 begin with 340664360 relations and 289508220 unique ideals
  43. Wed Apr 27 03:51:47 2022 reduce to 340195567 relations and 276523165 ideals in 8 passes
  44. Wed Apr 27 03:51:47 2022 max relations containing the same ideal: 158
  45. Wed Apr 27 03:53:01 2022 removing 10906257 relations and 8906257 ideals in 2000000 cliques
  46. Wed Apr 27 03:53:07 2022 commencing in-memory singleton removal
  47. Wed Apr 27 03:53:16 2022 begin with 329289310 relations and 276523165 unique ideals
  48. Wed Apr 27 03:54:35 2022 reduce to 328995817 relations and 267321407 ideals in 7 passes
  49. Wed Apr 27 03:54:35 2022 max relations containing the same ideal: 156
  50. Wed Apr 27 03:55:47 2022 removing 9766291 relations and 7766291 ideals in 2000000 cliques
  51. Wed Apr 27 03:55:53 2022 commencing in-memory singleton removal
  52. Wed Apr 27 03:56:02 2022 begin with 319229526 relations and 267321407 unique ideals
  53. Wed Apr 27 03:57:18 2022 reduce to 318983173 relations and 259307221 ideals in 7 passes
  54. Wed Apr 27 03:57:18 2022 max relations containing the same ideal: 154
  55. Wed Apr 27 03:58:28 2022 removing 9123131 relations and 7123131 ideals in 2000000 cliques
  56. Wed Apr 27 03:58:34 2022 commencing in-memory singleton removal
  57. Wed Apr 27 03:58:43 2022 begin with 309860042 relations and 259307221 unique ideals
  58. Wed Apr 27 03:59:57 2022 reduce to 309638470 relations and 251961069 ideals in 7 passes
  59. Wed Apr 27 03:59:57 2022 max relations containing the same ideal: 152
  60. Wed Apr 27 04:01:05 2022 removing 8698228 relations and 6698228 ideals in 2000000 cliques
  61. Wed Apr 27 04:01:10 2022 commencing in-memory singleton removal
  62. Wed Apr 27 04:01:19 2022 begin with 300940242 relations and 251961069 unique ideals
  63. Wed Apr 27 04:02:30 2022 reduce to 300731146 relations and 245052375 ideals in 7 passes
  64. Wed Apr 27 04:02:30 2022 max relations containing the same ideal: 147
  65. Wed Apr 27 04:03:37 2022 removing 8391264 relations and 6391264 ideals in 2000000 cliques
  66. Wed Apr 27 04:03:42 2022 commencing in-memory singleton removal
  67. Wed Apr 27 04:03:50 2022 begin with 292339882 relations and 245052375 unique ideals
  68. Wed Apr 27 04:05:08 2022 reduce to 292141227 relations and 238461155 ideals in 8 passes
  69. Wed Apr 27 04:05:08 2022 max relations containing the same ideal: 146
  70. Wed Apr 27 04:06:11 2022 removing 8153586 relations and 6153586 ideals in 2000000 cliques
  71. Wed Apr 27 04:06:16 2022 commencing in-memory singleton removal
  72. Wed Apr 27 04:06:24 2022 begin with 283987641 relations and 238461155 unique ideals
  73. Wed Apr 27 04:07:39 2022 reduce to 283793801 relations and 232112496 ideals in 8 passes
  74. Wed Apr 27 04:07:39 2022 max relations containing the same ideal: 144
  75. Wed Apr 27 04:08:40 2022 removing 7974863 relations and 5974863 ideals in 2000000 cliques
  76. Wed Apr 27 04:08:45 2022 commencing in-memory singleton removal
  77. Wed Apr 27 04:08:53 2022 begin with 275818938 relations and 232112496 unique ideals
  78. Wed Apr 27 04:09:57 2022 reduce to 275628060 relations and 225945520 ideals in 7 passes
  79. Wed Apr 27 04:09:57 2022 max relations containing the same ideal: 140
  80. Wed Apr 27 04:10:55 2022 removing 7825636 relations and 5825636 ideals in 2000000 cliques
  81. Wed Apr 27 04:11:00 2022 commencing in-memory singleton removal
  82. Wed Apr 27 04:11:07 2022 begin with 267802424 relations and 225945520 unique ideals
  83. Wed Apr 27 04:12:10 2022 reduce to 267612754 relations and 219928850 ideals in 7 passes
  84. Wed Apr 27 04:12:10 2022 max relations containing the same ideal: 137
  85. Wed Apr 27 04:13:07 2022 removing 7714127 relations and 5714127 ideals in 2000000 cliques
  86. Wed Apr 27 04:13:12 2022 commencing in-memory singleton removal
  87. Wed Apr 27 04:13:19 2022 begin with 259898627 relations and 219928850 unique ideals
  88. Wed Apr 27 04:14:19 2022 reduce to 259710756 relations and 214025502 ideals in 7 passes
  89. Wed Apr 27 04:14:19 2022 max relations containing the same ideal: 135
  90. Wed Apr 27 04:15:15 2022 removing 7614312 relations and 5614312 ideals in 2000000 cliques
  91. Wed Apr 27 04:15:20 2022 commencing in-memory singleton removal
  92. Wed Apr 27 04:15:26 2022 begin with 252096444 relations and 214025502 unique ideals
  93. Wed Apr 27 04:16:17 2022 reduce to 251908166 relations and 208221477 ideals in 6 passes
  94. Wed Apr 27 04:16:17 2022 max relations containing the same ideal: 132
  95. Wed Apr 27 04:17:11 2022 removing 7534305 relations and 5534305 ideals in 2000000 cliques
  96. Wed Apr 27 04:17:15 2022 commencing in-memory singleton removal
  97. Wed Apr 27 04:17:22 2022 begin with 244373861 relations and 208221477 unique ideals
  98. Wed Apr 27 04:18:19 2022 reduce to 244184531 relations and 202496399 ideals in 7 passes
  99. Wed Apr 27 04:18:19 2022 max relations containing the same ideal: 130
  100. Wed Apr 27 04:19:12 2022 removing 7473705 relations and 5473705 ideals in 2000000 cliques
  101. Wed Apr 27 04:19:16 2022 commencing in-memory singleton removal
  102. Wed Apr 27 04:19:22 2022 begin with 236710826 relations and 202496399 unique ideals
  103. Wed Apr 27 04:20:17 2022 reduce to 236519829 relations and 196830259 ideals in 7 passes
  104. Wed Apr 27 04:20:17 2022 max relations containing the same ideal: 129
  105. Wed Apr 27 04:21:09 2022 removing 7425910 relations and 5425910 ideals in 2000000 cliques
  106. Wed Apr 27 04:21:13 2022 commencing in-memory singleton removal
  107. Wed Apr 27 04:21:19 2022 begin with 229093919 relations and 196830259 unique ideals
  108. Wed Apr 27 04:22:12 2022 reduce to 228900982 relations and 191209913 ideals in 7 passes
  109. Wed Apr 27 04:22:12 2022 max relations containing the same ideal: 126
  110. Wed Apr 27 04:23:02 2022 removing 7383863 relations and 5383863 ideals in 2000000 cliques
  111. Wed Apr 27 04:23:06 2022 commencing in-memory singleton removal
  112. Wed Apr 27 04:23:12 2022 begin with 221517119 relations and 191209913 unique ideals
  113. Wed Apr 27 04:24:03 2022 reduce to 221319619 relations and 185626846 ideals in 7 passes
  114. Wed Apr 27 04:24:03 2022 max relations containing the same ideal: 125
  115. Wed Apr 27 04:24:52 2022 removing 7355846 relations and 5355846 ideals in 2000000 cliques
  116. Wed Apr 27 04:24:56 2022 commencing in-memory singleton removal
  117. Wed Apr 27 04:25:02 2022 begin with 213963773 relations and 185626846 unique ideals
  118. Wed Apr 27 04:25:44 2022 reduce to 213762881 relations and 180068394 ideals in 6 passes
  119. Wed Apr 27 04:25:44 2022 max relations containing the same ideal: 120
  120. Wed Apr 27 04:26:32 2022 removing 7329729 relations and 5329729 ideals in 2000000 cliques
  121. Wed Apr 27 04:26:35 2022 commencing in-memory singleton removal
  122. Wed Apr 27 04:26:41 2022 begin with 206433152 relations and 180068394 unique ideals
  123. Wed Apr 27 04:27:29 2022 reduce to 206226688 relations and 174530421 ideals in 7 passes
  124. Wed Apr 27 04:27:29 2022 max relations containing the same ideal: 118
  125. Wed Apr 27 04:28:14 2022 removing 7314150 relations and 5314150 ideals in 2000000 cliques
  126. Wed Apr 27 04:28:18 2022 commencing in-memory singleton removal
  127. Wed Apr 27 04:28:23 2022 begin with 198912538 relations and 174530421 unique ideals
  128. Wed Apr 27 04:29:09 2022 reduce to 198702466 relations and 169004188 ideals in 7 passes
  129. Wed Apr 27 04:29:09 2022 max relations containing the same ideal: 114
  130. Wed Apr 27 04:29:53 2022 removing 7309130 relations and 5309130 ideals in 2000000 cliques
  131. Wed Apr 27 04:29:57 2022 commencing in-memory singleton removal
  132. Wed Apr 27 04:30:02 2022 begin with 191393336 relations and 169004188 unique ideals
  133. Wed Apr 27 04:30:46 2022 reduce to 191175179 relations and 163474815 ideals in 7 passes
  134. Wed Apr 27 04:30:46 2022 max relations containing the same ideal: 113
  135. Wed Apr 27 04:31:29 2022 removing 7304423 relations and 5304423 ideals in 2000000 cliques
  136. Wed Apr 27 04:31:33 2022 commencing in-memory singleton removal
  137. Wed Apr 27 04:31:38 2022 begin with 183870756 relations and 163474815 unique ideals
  138. Wed Apr 27 04:32:20 2022 reduce to 183648061 relations and 157945534 ideals in 7 passes
  139. Wed Apr 27 04:32:20 2022 max relations containing the same ideal: 109
  140. Wed Apr 27 04:33:01 2022 removing 7311299 relations and 5311299 ideals in 2000000 cliques
  141. Wed Apr 27 04:33:05 2022 commencing in-memory singleton removal
  142. Wed Apr 27 04:33:10 2022 begin with 176336762 relations and 157945534 unique ideals
  143. Wed Apr 27 04:33:50 2022 reduce to 176103821 relations and 152399035 ideals in 7 passes
  144. Wed Apr 27 04:33:50 2022 max relations containing the same ideal: 105
  145. Wed Apr 27 04:34:30 2022 removing 7319954 relations and 5319954 ideals in 2000000 cliques
  146. Wed Apr 27 04:34:33 2022 commencing in-memory singleton removal
  147. Wed Apr 27 04:34:38 2022 begin with 168783867 relations and 152399035 unique ideals
  148. Wed Apr 27 04:35:16 2022 reduce to 168543681 relations and 146836342 ideals in 7 passes
  149. Wed Apr 27 04:35:16 2022 max relations containing the same ideal: 102
  150. Wed Apr 27 04:35:55 2022 removing 7333060 relations and 5333060 ideals in 2000000 cliques
  151. Wed Apr 27 04:35:58 2022 commencing in-memory singleton removal
  152. Wed Apr 27 04:36:02 2022 begin with 161210621 relations and 146836342 unique ideals
  153. Wed Apr 27 04:36:39 2022 reduce to 160960931 relations and 141250806 ideals in 7 passes
  154. Wed Apr 27 04:36:39 2022 max relations containing the same ideal: 98
  155. Wed Apr 27 04:37:17 2022 removing 7354039 relations and 5354039 ideals in 2000000 cliques
  156. Wed Apr 27 04:37:20 2022 commencing in-memory singleton removal
  157. Wed Apr 27 04:37:24 2022 begin with 153606892 relations and 141250806 unique ideals
  158. Wed Apr 27 04:37:59 2022 reduce to 153344925 relations and 135631741 ideals in 7 passes
  159. Wed Apr 27 04:37:59 2022 max relations containing the same ideal: 95
  160. Wed Apr 27 04:38:34 2022 removing 7379145 relations and 5379145 ideals in 2000000 cliques
  161. Wed Apr 27 04:38:37 2022 commencing in-memory singleton removal
  162. Wed Apr 27 04:38:41 2022 begin with 145965780 relations and 135631741 unique ideals
  163. Wed Apr 27 04:39:10 2022 reduce to 145689387 relations and 129972932 ideals in 6 passes
  164. Wed Apr 27 04:39:10 2022 max relations containing the same ideal: 93
  165. Wed Apr 27 04:39:44 2022 removing 7416008 relations and 5416008 ideals in 2000000 cliques
  166. Wed Apr 27 04:39:47 2022 commencing in-memory singleton removal
  167. Wed Apr 27 04:39:50 2022 begin with 138273379 relations and 129972932 unique ideals
  168. Wed Apr 27 04:40:17 2022 reduce to 137983190 relations and 124263206 ideals in 6 passes
  169. Wed Apr 27 04:40:17 2022 max relations containing the same ideal: 90
  170. Wed Apr 27 04:40:50 2022 removing 7456539 relations and 5456539 ideals in 2000000 cliques
  171. Wed Apr 27 04:40:53 2022 commencing in-memory singleton removal
  172. Wed Apr 27 04:40:56 2022 begin with 130526651 relations and 124263206 unique ideals
  173. Wed Apr 27 04:41:26 2022 reduce to 130218764 relations and 118494959 ideals in 7 passes
  174. Wed Apr 27 04:41:26 2022 max relations containing the same ideal: 87
  175. Wed Apr 27 04:41:57 2022 removing 7498844 relations and 5498844 ideals in 2000000 cliques
  176. Wed Apr 27 04:41:59 2022 commencing in-memory singleton removal
  177. Wed Apr 27 04:42:03 2022 begin with 122719920 relations and 118494959 unique ideals
  178. Wed Apr 27 04:42:38 2022 reduce to 122391867 relations and 112663608 ideals in 9 passes
  179. Wed Apr 27 04:42:38 2022 max relations containing the same ideal: 84
  180. Wed Apr 27 04:43:07 2022 removing 7549670 relations and 5549670 ideals in 2000000 cliques
  181. Wed Apr 27 04:43:10 2022 commencing in-memory singleton removal
  182. Wed Apr 27 04:43:13 2022 begin with 114842197 relations and 112663608 unique ideals
  183. Wed Apr 27 04:43:39 2022 reduce to 114490138 relations and 106756785 ideals in 7 passes
  184. Wed Apr 27 04:43:39 2022 max relations containing the same ideal: 78
  185. Wed Apr 27 04:44:06 2022 removing 7612141 relations and 5612141 ideals in 2000000 cliques
  186. Wed Apr 27 04:44:09 2022 commencing in-memory singleton removal
  187. Wed Apr 27 04:44:12 2022 begin with 106877997 relations and 106756785 unique ideals
  188. Wed Apr 27 04:44:36 2022 reduce to 106496823 relations and 100757826 ideals in 7 passes
  189. Wed Apr 27 04:44:36 2022 max relations containing the same ideal: 74
  190. Wed Apr 27 04:45:01 2022 removing 7685698 relations and 5685698 ideals in 2000000 cliques
  191. Wed Apr 27 04:45:04 2022 commencing in-memory singleton removal
  192. Wed Apr 27 04:45:06 2022 begin with 98811125 relations and 100757826 unique ideals
  193. Wed Apr 27 04:45:29 2022 reduce to 98390286 relations and 94644709 ideals in 7 passes
  194. Wed Apr 27 04:45:29 2022 max relations containing the same ideal: 69
  195. Wed Apr 27 04:45:52 2022 removing 2687309 relations and 2141064 ideals in 546245 cliques
  196. Wed Apr 27 04:45:54 2022 commencing in-memory singleton removal
  197. Wed Apr 27 04:45:57 2022 begin with 95702977 relations and 94644709 unique ideals
  198. Wed Apr 27 04:46:15 2022 reduce to 95653401 relations and 92453801 ideals in 6 passes
  199. Wed Apr 27 04:46:15 2022 max relations containing the same ideal: 69
  200. Wed Apr 27 04:46:47 2022 relations with 0 large ideals: 208855
  201. Wed Apr 27 04:46:47 2022 relations with 1 large ideals: 87769
  202. Wed Apr 27 04:46:47 2022 relations with 2 large ideals: 894443
  203. Wed Apr 27 04:46:47 2022 relations with 3 large ideals: 4683438
  204. Wed Apr 27 04:46:47 2022 relations with 4 large ideals: 13348749
  205. Wed Apr 27 04:46:47 2022 relations with 5 large ideals: 22883366
  206. Wed Apr 27 04:46:47 2022 relations with 6 large ideals: 24693090
  207. Wed Apr 27 04:46:47 2022 relations with 7+ large ideals: 28853691
  208. Wed Apr 27 04:46:47 2022 commencing 2-way merge
  209. Wed Apr 27 04:47:20 2022 reduce to 62176666 relation sets and 58977066 unique ideals
  210. Wed Apr 27 04:47:20 2022 commencing full merge
  211. Wed Apr 27 05:04:05 2022 memory use: 7848.7 MB
  212. Wed Apr 27 05:04:10 2022 found 28289425 cycles, need 28013266
  213. Wed Apr 27 05:04:16 2022 weight of 28013266 cycles is about 3361977320 (120.01/cycle)
  214. Wed Apr 27 05:04:16 2022 distribution of cycle lengths:
  215. Wed Apr 27 05:04:16 2022 1 relations: 1567912
  216. Wed Apr 27 05:04:16 2022 2 relations: 1818806
  217. Wed Apr 27 05:04:16 2022 3 relations: 1981172
  218. Wed Apr 27 05:04:16 2022 4 relations: 1998204
  219. Wed Apr 27 05:04:16 2022 5 relations: 2014136
  220. Wed Apr 27 05:04:16 2022 6 relations: 1968744
  221. Wed Apr 27 05:04:16 2022 7 relations: 1923779
  222. Wed Apr 27 05:04:16 2022 8 relations: 1837950
  223. Wed Apr 27 05:04:16 2022 9 relations: 1746244
  224. Wed Apr 27 05:04:16 2022 10+ relations: 11156319
  225. Wed Apr 27 05:04:16 2022 heaviest cycle: 28 relations
  226. Wed Apr 27 05:04:19 2022 commencing cycle optimization
  227. Wed Apr 27 05:05:00 2022 start with 244312587 relations
  228. Wed Apr 27 05:11:04 2022 pruned 10414361 relations
  229. Wed Apr 27 05:11:05 2022 memory use: 6461.1 MB
  230. Wed Apr 27 05:11:05 2022 distribution of cycle lengths:
  231. Wed Apr 27 05:11:05 2022 1 relations: 1567912
  232. Wed Apr 27 05:11:05 2022 2 relations: 1857924
  233. Wed Apr 27 05:11:05 2022 3 relations: 2059068
  234. Wed Apr 27 05:11:05 2022 4 relations: 2076340
  235. Wed Apr 27 05:11:05 2022 5 relations: 2109666
  236. Wed Apr 27 05:11:05 2022 6 relations: 2057925
  237. Wed Apr 27 05:11:05 2022 7 relations: 2017755
  238. Wed Apr 27 05:11:05 2022 8 relations: 1922826
  239. Wed Apr 27 05:11:05 2022 9 relations: 1824038
  240. Wed Apr 27 05:11:05 2022 10+ relations: 10519812
  241. Wed Apr 27 05:11:05 2022 heaviest cycle: 28 relations
  242. Wed Apr 27 05:11:34 2022 RelProcTime: 10969
  243. Wed Apr 27 05:11:34 2022 elapsed time 03:02:50
  244. Wed Apr 27 06:26:30 2022
  245. Wed Apr 27 06:26:30 2022
  246. Wed Apr 27 06:26:30 2022 Msieve v. 1.54 (SVN unknown)
  247. Wed Apr 27 06:26:30 2022 random seeds: e68d3aa6 db880aff
  248. Wed Apr 27 06:26:30 2022 MPI process 0 of 1
  249. Wed Apr 27 06:26:30 2022 factoring 1952329202661866602684979956787714136482531226833055496710056683028658100012799836257527350037275596384189190550132825485135466639172655355292471161449599261594798638028373903096628381188057821540414523320973594741 (214 digits)
  250. Wed Apr 27 06:26:31 2022 no P-1/P+1/ECM available, skipping
  251. Wed Apr 27 06:26:31 2022 commencing number field sieve (214-digit input)
  252. Wed Apr 27 06:26:31 2022 R0: -45671926060252476630107084286792841360213803007
  253. Wed Apr 27 06:26:31 2022 R1: 1
  254. Wed Apr 27 06:26:31 2022 A0: 1
  255. Wed Apr 27 06:26:31 2022 A1: -1
  256. Wed Apr 27 06:26:31 2022 A2: 1
  257. Wed Apr 27 06:26:31 2022 A3: -1
  258. Wed Apr 27 06:26:31 2022 A4: 1
  259. Wed Apr 27 06:26:31 2022 A5: -1
  260. Wed Apr 27 06:26:31 2022 A6: 1
  261. Wed Apr 27 06:26:31 2022 skew 1.00, size 9.069e-14, alpha 2.428, combined = 1.854e-14 rroots = 0
  262. Wed Apr 27 06:26:31 2022
  263. Wed Apr 27 06:26:31 2022 commencing linear algebra
  264. Wed Apr 27 06:26:31 2022 using VBITS=384
  265. Wed Apr 27 06:26:31 2022 initialized process (0,0) of 1 x 1 grid
  266. Wed Apr 27 06:26:33 2022 read 28013266 cycles
  267. Wed Apr 27 06:27:14 2022 cycles contain 94066125 unique relations
  268. Wed Apr 27 06:33:05 2022 read 94066125 relations
  269. Wed Apr 27 06:35:20 2022 using 20 quadratic characters above 4294917295
  270. Wed Apr 27 06:39:38 2022 building initial matrix
  271. Wed Apr 27 06:53:06 2022 memory use: 12314.9 MB
  272. Wed Apr 27 06:53:20 2022 read 28013266 cycles
  273. Wed Apr 27 06:53:24 2022 matrix is 28013089 x 28013266 (13223.4 MB) with weight 3759159020 (134.19/col)
  274. Wed Apr 27 06:53:24 2022 sparse part has weight 3158295648 (112.74/col)
  275. Wed Apr 27 06:57:27 2022 filtering completed in 2 passes
  276. Wed Apr 27 06:57:31 2022 matrix is 28011639 x 28011790 (13223.3 MB) with weight 3759106416 (134.20/col)
  277. Wed Apr 27 06:57:31 2022 sparse part has weight 3158274788 (112.75/col)
  278. Wed Apr 27 06:58:28 2022 matrix starts at (0, 0)
  279. Wed Apr 27 06:58:31 2022 matrix is 28011639 x 28011790 (13223.3 MB) with weight 3759106416 (134.20/col)
  280. Wed Apr 27 06:58:31 2022 sparse part has weight 3158274788 (112.75/col)
  281. Wed Apr 27 06:58:31 2022 saving the first 368 matrix rows for later
  282. Wed Apr 27 06:58:35 2022 matrix includes 384 packed rows
  283. Wed Apr 27 06:58:46 2022 matrix is 28011271 x 28011790 (12387.9 MB) with weight 2817084668 (100.57/col)
  284. Wed Apr 27 06:58:46 2022 sparse part has weight 2687170677 (95.93/col)
  285. Wed Apr 27 06:59:33 2022
  286. Wed Apr 27 06:59:33 2022
  287. Wed Apr 27 06:59:33 2022 Msieve v. 1.54 (SVN Unversioned directory)
  288. Wed Apr 27 06:59:33 2022 random seeds: 7d9c53c0 d175458e
  289. Wed Apr 27 06:59:33 2022 MPI process 0 of 320
  290. Wed Apr 27 06:59:33 2022 factoring 1952329202661866602684979956787714136482531226833055496710056683028658100012799836257527350037275596384189190550132825485135466639172655355292471161449599261594798638028373903096628381188057821540414523320973594741 (214 digits)
  291. Wed Apr 27 06:59:37 2022 no P-1/P+1/ECM available, skipping
  292. Wed Apr 27 06:59:37 2022 commencing number field sieve (214-digit input)
  293. Wed Apr 27 06:59:37 2022 R0: -45671926060252476630107084286792841360213803007
  294. Wed Apr 27 06:59:37 2022 R1: 1
  295. Wed Apr 27 06:59:37 2022 A0: 1
  296. Wed Apr 27 06:59:37 2022 A1: -1
  297. Wed Apr 27 06:59:37 2022 A2: 1
  298. Wed Apr 27 06:59:37 2022 A3: -1
  299. Wed Apr 27 06:59:37 2022 A4: 1
  300. Wed Apr 27 06:59:37 2022 A5: -1
  301. Wed Apr 27 06:59:37 2022 A6: 1
  302. Wed Apr 27 06:59:37 2022 skew 1.00, size 9.069e-14, alpha 2.428, combined = 1.854e-14 rroots = 0
  303. Wed Apr 27 06:59:37 2022
  304. Wed Apr 27 06:59:37 2022 commencing linear algebra
  305. Wed Apr 27 06:59:37 2022 using VBITS=128
  306. Wed Apr 27 06:59:37 2022 skipping matrix build
  307. Wed Apr 27 06:59:37 2022 initialized process (0,0) of 16 x 20 grid
  308. Wed Apr 27 06:59:40 2022 matrix starts at (0, 0)
  309. Wed Apr 27 06:59:40 2022 matrix is 1750839 x 1100864 (104.5 MB) with weight 38503123 (34.98/col)
  310. Wed Apr 27 06:59:40 2022 sparse part has weight 15283040 (13.88/col)
  311. Wed Apr 27 06:59:40 2022 saving the first 112 matrix rows for later
  312. Wed Apr 27 06:59:40 2022 matrix includes 128 packed rows
  313. Wed Apr 27 06:59:41 2022 matrix is 1750727 x 1100864 (80.5 MB) with weight 10115429 ( 9.19/col)
  314. Wed Apr 27 06:59:41 2022 sparse part has weight 7880564 ( 7.16/col)
  315. Wed Apr 27 06:59:41 2022 using block size 3072 and superblock size 200000 for processor cache size 8192 kB
  316. Wed Apr 27 06:59:42 2022 commencing Lanczos iteration (12 threads)
  317. Wed Apr 27 06:59:42 2022 memory use: 109.6 MB
  318. Wed Apr 27 06:59:47 2022 linear algebra at 0.0%, ETA 5h 4m
  319. Wed Apr 27 06:59:47 2022 checkpointing every 7330000 dimensions
  320. Wed Apr 27 12:02:58 2022 lanczos halted after 220154 iterations (dim = 28011527)
  321. Wed Apr 27 12:06:11 2022 recovered 41 nontrivial dependencies
  322. Wed Apr 27 12:06:11 2022 BLanczosTime: 18394
  323. Wed Apr 27 12:06:11 2022 elapsed time 05:06:38
  324. Wed Apr 27 12:32:31 2022
  325. Wed Apr 27 12:32:31 2022
  326. Wed Apr 27 12:32:31 2022 Msieve v. 1.54 (SVN unknown)
  327. Wed Apr 27 12:32:31 2022 random seeds: 51447182 7c439e65
  328. Wed Apr 27 12:32:31 2022 factoring 1952329202661866602684979956787714136482531226833055496710056683028658100012799836257527350037275596384189190550132825485135466639172655355292471161449599261594798638028373903096628381188057821540414523320973594741 (214 digits)
  329. Wed Apr 27 12:32:32 2022 no P-1/P+1/ECM available, skipping
  330. Wed Apr 27 12:32:32 2022 commencing number field sieve (214-digit input)
  331. Wed Apr 27 12:32:32 2022 R0: -45671926060252476630107084286792841360213803007
  332. Wed Apr 27 12:32:32 2022 R1: 1
  333. Wed Apr 27 12:32:32 2022 A0: 1
  334. Wed Apr 27 12:32:32 2022 A1: -1
  335. Wed Apr 27 12:32:32 2022 A2: 1
  336. Wed Apr 27 12:32:32 2022 A3: -1
  337. Wed Apr 27 12:32:32 2022 A4: 1
  338. Wed Apr 27 12:32:32 2022 A5: -1
  339. Wed Apr 27 12:32:32 2022 A6: 1
  340. Wed Apr 27 12:32:32 2022 skew 1.00, size 9.069e-14, alpha 2.428, combined = 1.854e-14 rroots = 0
  341. Wed Apr 27 12:32:32 2022
  342. Wed Apr 27 12:32:32 2022 commencing square root phase
  343. Wed Apr 27 12:32:32 2022 Sqrt: Handling dependencies 1 to 8
  344. Wed Apr 27 12:32:32 2022 Sqrt: getting relations for each dependency
  345. Wed Apr 27 12:32:32 2022 Sqrt: Assigning space for 28011790 cycles for 8 dependencies
  346. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 1, read 14006656 cycles
  347. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 2, read 14008788 cycles
  348. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 3, read 14006836 cycles
  349. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 4, read 14007005 cycles
  350. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 5, read 14000014 cycles
  351. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 6, read 14007390 cycles
  352. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 7, read 14003644 cycles
  353. Wed Apr 27 12:32:40 2022 Sqrt: For dependency 8, read 14002258 cycles
  354. Wed Apr 27 12:35:16 2022 Sqrt: cycles contain 93697862 unique relations
  355. Wed Apr 27 12:43:02 2022 Sqrt: read 93697862 relations in total
  356. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 1 has 47038024 relations
  357. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 2 has 47031702 relations
  358. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 3 has 47036486 relations
  359. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 4 has 47036632 relations
  360. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 5 has 47023064 relations
  361. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 6 has 47036402 relations
  362. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 7 has 47035692 relations
  363. Wed Apr 27 12:43:02 2022 Sqrt: Dependency 8 has 47025272 relations
  364. Wed Apr 27 12:43:11 2022 Sqrt: initializing threads
  365. Wed Apr 27 12:43:21 2022 Sqrt using 8 threads
  366. Wed Apr 27 12:43:21 2022 Sqrt: Adding dependencies 1 to 8 to the task pool
  367. Wed Apr 27 12:43:21 2022 Sqrt: Thread 4 working on dependency 7
  368. Wed Apr 27 12:43:21 2022 Sqrt: Thread 2 working on dependency 3
  369. Wed Apr 27 12:43:21 2022 Sqrt: Thread 5 working on dependency 1
  370. Wed Apr 27 12:43:21 2022 Sqrt: Thread 7 working on dependency 6
  371. Wed Apr 27 12:43:21 2022 Sqrt: Thread 1 working on dependency 8
  372. Wed Apr 27 12:43:21 2022 Sqrt: Thread 6 working on dependency 4
  373. Wed Apr 27 12:43:21 2022 Sqrt: Thread 3 working on dependency 5
  374. Wed Apr 27 12:43:21 2022 Sqrt: Thread 0 working on dependency 2
  375. Wed Apr 27 12:47:37 2022 Sqrt: Thread 2 beginning algebraic square root for dependency 3
  376. Wed Apr 27 12:47:37 2022 Sqrt: Thread 1 beginning algebraic square root for dependency 8
  377. Wed Apr 27 12:47:37 2022 Sqrt: Thread 5 beginning algebraic square root for dependency 1
  378. Wed Apr 27 12:47:37 2022 Sqrt: Thread 6 beginning algebraic square root for dependency 4
  379. Wed Apr 27 12:47:37 2022 multiplying 47038024 relations
  380. Wed Apr 27 12:47:37 2022 multiplying 47036486 relations
  381. Wed Apr 27 12:47:37 2022 multiplying 47036632 relations
  382. Wed Apr 27 12:47:37 2022 multiplying 47025272 relations
  383. Wed Apr 27 12:47:38 2022 Sqrt: Thread 0 beginning algebraic square root for dependency 2
  384. Wed Apr 27 12:47:38 2022 multiplying 47031702 relations
  385. Wed Apr 27 12:47:38 2022 Sqrt: Thread 3 beginning algebraic square root for dependency 5
  386. Wed Apr 27 12:47:38 2022 Sqrt: Thread 4 beginning algebraic square root for dependency 7
  387. Wed Apr 27 12:47:38 2022 Sqrt: Thread 7 beginning algebraic square root for dependency 6
  388. Wed Apr 27 12:47:38 2022 multiplying 47023064 relations
  389. Wed Apr 27 12:47:38 2022 multiplying 47035692 relations
  390. Wed Apr 27 12:47:38 2022 multiplying 47036402 relations
  391. Wed Apr 27 13:21:11 2022 multiply complete, coefficients have about 1252.87 million bits
  392. Wed Apr 27 13:21:12 2022 multiply complete, coefficients have about 1252.51 million bits
  393. Wed Apr 27 13:21:17 2022 initial square root is modulo 417007
  394. Wed Apr 27 13:21:18 2022 initial square root is modulo 415427
  395. Wed Apr 27 13:21:20 2022 multiply complete, coefficients have about 1252.89 million bits
  396. Wed Apr 27 13:21:26 2022 multiply complete, coefficients have about 1252.76 million bits
  397. Wed Apr 27 13:21:26 2022 initial square root is modulo 417007
  398. Wed Apr 27 13:21:33 2022 initial square root is modulo 416477
  399. Wed Apr 27 13:21:42 2022 multiply complete, coefficients have about 1252.89 million bits
  400. Wed Apr 27 13:21:49 2022 initial square root is modulo 417007
  401. Wed Apr 27 13:21:50 2022 multiply complete, coefficients have about 1252.93 million bits
  402. Wed Apr 27 13:21:51 2022 multiply complete, coefficients have about 1252.89 million bits
  403. Wed Apr 27 13:21:56 2022 initial square root is modulo 417191
  404. Wed Apr 27 13:21:58 2022 initial square root is modulo 417007
  405. Wed Apr 27 13:22:07 2022 multiply complete, coefficients have about 1252.58 million bits
  406. Wed Apr 27 13:22:14 2022 initial square root is modulo 415691
  407. Wed Apr 27 13:55:28 2022 Sqrt: Thread 3 beginning congruence of squares for dependency 5
  408. Wed Apr 27 13:55:28 2022 Sqrt: Thread 4 beginning congruence of squares for dependency 7
  409. Wed Apr 27 13:55:28 2022 Sqrt: Thread 4 shutting down dep_task 7
  410. Wed Apr 27 13:55:28 2022 Sqrt: Thread 3 shutting down dep_task 5
  411. Wed Apr 27 13:55:49 2022 Sqrt: Thread 7 beginning congruence of squares for dependency 6
  412. Wed Apr 27 13:55:49 2022 Sqrt: Thread 7: dependency 6, GCD is 1, no factor found
  413. Wed Apr 27 13:55:49 2022 Sqrt: Thread 7 shutting down dep_task 6
  414. Wed Apr 27 13:56:14 2022 Sqrt: Thread 0 beginning congruence of squares for dependency 2
  415. Wed Apr 27 13:56:14 2022 Sqrt: Thread 0 shutting down dep_task 2
  416. Wed Apr 27 13:56:36 2022 Sqrt: Thread 2 beginning congruence of squares for dependency 3
  417. Wed Apr 27 13:56:36 2022 Sqrt: Thread 2 shutting down dep_task 3
  418. Wed Apr 27 13:56:47 2022 Sqrt: Thread 5 beginning congruence of squares for dependency 1
  419. Wed Apr 27 13:56:47 2022 Sqrt: Thread 5 shutting down dep_task 1
  420. Wed Apr 27 13:56:47 2022 Sqrt: Thread 6 beginning congruence of squares for dependency 4
  421. Wed Apr 27 13:56:47 2022 Sqrt: Thread 6: dependency 4, GCD is 1, no factor found
  422. Wed Apr 27 13:56:47 2022 Sqrt: Thread 6 shutting down dep_task 4
  423. Wed Apr 27 13:56:54 2022 Sqrt: Thread 1 beginning congruence of squares for dependency 8
  424. Wed Apr 27 13:56:54 2022 Sqrt: Thread 1 shutting down dep_task 8
  425. Wed Apr 27 13:56:54 2022 sqrtTime: 5062
  426. Wed Apr 27 13:56:54 2022 p78 factor: 714401300626832331904638461928166824341251879709263751281226565016001771936711
  427. Wed Apr 27 13:56:54 2022 p136 factor: 2732818656613373340008644600800024771622443049333153029792525555877224015638033216972240322591857052182889174216138130640925756226869731
  428. Wed Apr 27 13:56:54 2022 elapsed time 01:24:23
  429.  
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