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Msieve log of 12p7_248

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Feb 22nd, 2023
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  1. Mon Feb 13 21:47:25 2023
  2. Mon Feb 13 21:47:25 2023
  3. Mon Feb 13 21:47:25 2023 Msieve v. 1.52 (SVN unknown)
  4. Mon Feb 13 21:47:25 2023 random seeds: 6608e180 15de3116
  5. Mon Feb 13 21:47:25 2023 factoring 10590536634012856393176216400859329125666884737556621703305414724685429091817157203910041656385108336915437901999184699980088999249781744496787663426005064288024663396550962782548635389084263988372904642909829201 (212 digits)
  6. Mon Feb 13 21:47:26 2023 no P-1/P+1/ECM available, skipping
  7. Mon Feb 13 21:47:26 2023 commencing number field sieve (212-digit input)
  8. Mon Feb 13 21:47:27 2023 R0: 176372588156290374069930666601805113523699712
  9. Mon Feb 13 21:47:27 2023 R1: -44567640326363195900190045974568007
  10. Mon Feb 13 21:47:27 2023 A0: 49
  11. Mon Feb 13 21:47:27 2023 A1: 0
  12. Mon Feb 13 21:47:27 2023 A2: 0
  13. Mon Feb 13 21:47:27 2023 A3: 0
  14. Mon Feb 13 21:47:27 2023 A4: 0
  15. Mon Feb 13 21:47:27 2023 A5: 0
  16. Mon Feb 13 21:47:27 2023 A6: 144
  17. Mon Feb 13 21:47:27 2023 skew 0.84, size 2.304e-013, alpha 0.270, combined = 3.962e-014 rroots = 0
  18. Mon Feb 13 21:47:27 2023
  19. Mon Feb 13 21:47:27 2023 commencing relation filtering
  20. Mon Feb 13 21:47:27 2023 setting target matrix density to 120.0
  21. Mon Feb 13 21:47:27 2023 estimated available RAM is 130978.7 MB
  22. Mon Feb 13 21:47:27 2023 commencing duplicate removal, pass 1
  23. Mon Feb 13 21:50:14 2023 error -15 reading relation 18523892
  24. Mon Feb 13 21:50:16 2023 error -15 reading relation 18683527
  25. Mon Feb 13 21:50:30 2023 error -9 reading relation 20262621
  26. Mon Feb 13 21:50:41 2023 error -15 reading relation 21545597
  27. Mon Feb 13 21:50:56 2023 error -15 reading relation 23178680
  28. Mon Feb 13 21:51:23 2023 error -9 reading relation 26184276
  29. Mon Feb 13 22:49:41 2023 error -15 reading relation 414934043
  30. Mon Feb 13 22:49:42 2023 error -5 reading relation 415001250
  31. Mon Feb 13 22:49:49 2023 error -15 reading relation 415748695
  32. Mon Feb 13 22:50:04 2023 error -9 reading relation 417511211
  33. Mon Feb 13 22:50:04 2023 error -9 reading relation 417516047
  34. Mon Feb 13 22:50:04 2023 error -9 reading relation 417520044
  35. Mon Feb 13 22:50:14 2023 error -15 reading relation 418531665
  36. Mon Feb 13 22:50:14 2023 error -9 reading relation 418627082
  37. Mon Feb 13 22:53:51 2023 skipped 2774 relations with b > 2^32
  38. Mon Feb 13 22:53:51 2023 found 105046629 hash collisions in 442420426 relations
  39. Mon Feb 13 22:54:16 2023 added 1218290 free relations
  40. Mon Feb 13 22:54:16 2023 commencing duplicate removal, pass 2
  41. Mon Feb 13 22:58:26 2023 found 105370154 duplicates and 338268562 unique relations
  42. Mon Feb 13 22:58:26 2023 memory use: 2387.0 MB
  43. Mon Feb 13 22:58:26 2023 reading ideals above 720000
  44. Mon Feb 13 22:58:26 2023 commencing singleton removal, initial pass
  45. Tue Feb 14 00:08:06 2023 memory use: 11024.0 MB
  46. Tue Feb 14 00:08:07 2023 reading all ideals from disk
  47. Tue Feb 14 00:08:13 2023 memory use: 14309.1 MB
  48. Tue Feb 14 00:09:35 2023 keeping 332980299 ideals with weight <= 200, target excess is 1756039
  49. Tue Feb 14 00:10:56 2023 commencing in-memory singleton removal
  50. Tue Feb 14 00:11:55 2023 begin with 338268562 relations and 332980299 unique ideals
  51. Tue Feb 14 00:22:17 2023 reduce to 194371147 relations and 172043188 ideals in 18 passes
  52. Tue Feb 14 00:22:17 2023 max relations containing the same ideal: 146
  53. Tue Feb 14 00:24:43 2023 removing 15701653 relations and 13701653 ideals in 2000000 cliques
  54. Tue Feb 14 00:24:48 2023 commencing in-memory singleton removal
  55. Tue Feb 14 00:25:15 2023 begin with 178669494 relations and 172043188 unique ideals
  56. Tue Feb 14 00:29:11 2023 reduce to 177580881 relations and 157237260 ideals in 9 passes
  57. Tue Feb 14 00:29:11 2023 max relations containing the same ideal: 141
  58. Tue Feb 14 00:31:21 2023 removing 11773874 relations and 9773874 ideals in 2000000 cliques
  59. Tue Feb 14 00:31:25 2023 commencing in-memory singleton removal
  60. Tue Feb 14 00:31:50 2023 begin with 165807007 relations and 157237260 unique ideals
  61. Tue Feb 14 00:35:28 2023 reduce to 165122222 relations and 146769970 ideals in 9 passes
  62. Tue Feb 14 00:35:28 2023 max relations containing the same ideal: 134
  63. Tue Feb 14 00:37:28 2023 removing 10561611 relations and 8561611 ideals in 2000000 cliques
  64. Tue Feb 14 00:37:32 2023 commencing in-memory singleton removal
  65. Tue Feb 14 00:37:55 2023 begin with 154560611 relations and 146769970 unique ideals
  66. Tue Feb 14 00:40:54 2023 reduce to 153967402 relations and 137607929 ideals in 8 passes
  67. Tue Feb 14 00:40:54 2023 max relations containing the same ideal: 127
  68. Tue Feb 14 00:42:46 2023 removing 9930729 relations and 7930729 ideals in 2000000 cliques
  69. Tue Feb 14 00:42:49 2023 commencing in-memory singleton removal
  70. Tue Feb 14 00:43:11 2023 begin with 144036673 relations and 137607929 unique ideals
  71. Tue Feb 14 00:46:16 2023 reduce to 143474742 relations and 129108412 ideals in 9 passes
  72. Tue Feb 14 00:46:16 2023 max relations containing the same ideal: 122
  73. Tue Feb 14 00:48:03 2023 removing 9544683 relations and 7544683 ideals in 2000000 cliques
  74. Tue Feb 14 00:48:06 2023 commencing in-memory singleton removal
  75. Tue Feb 14 00:48:26 2023 begin with 133930059 relations and 129108412 unique ideals
  76. Tue Feb 14 00:51:35 2023 reduce to 133381872 relations and 121008443 ideals in 10 passes
  77. Tue Feb 14 00:51:35 2023 max relations containing the same ideal: 116
  78. Tue Feb 14 00:53:13 2023 removing 9293384 relations and 7293384 ideals in 2000000 cliques
  79. Tue Feb 14 00:53:16 2023 commencing in-memory singleton removal
  80. Tue Feb 14 00:53:34 2023 begin with 124088488 relations and 121008443 unique ideals
  81. Tue Feb 14 00:55:54 2023 reduce to 123531483 relations and 113150481 ideals in 8 passes
  82. Tue Feb 14 00:55:54 2023 max relations containing the same ideal: 110
  83. Tue Feb 14 00:57:25 2023 removing 9126947 relations and 7126947 ideals in 2000000 cliques
  84. Tue Feb 14 00:57:28 2023 commencing in-memory singleton removal
  85. Tue Feb 14 00:57:44 2023 begin with 114404536 relations and 113150481 unique ideals
  86. Tue Feb 14 00:59:54 2023 reduce to 113829048 relations and 105439820 ideals in 8 passes
  87. Tue Feb 14 00:59:54 2023 max relations containing the same ideal: 105
  88. Tue Feb 14 01:01:18 2023 removing 9018995 relations and 7018995 ideals in 2000000 cliques
  89. Tue Feb 14 01:01:20 2023 commencing in-memory singleton removal
  90. Tue Feb 14 01:01:36 2023 begin with 104810053 relations and 105439820 unique ideals
  91. Tue Feb 14 01:03:33 2023 reduce to 104205318 relations and 97806620 ideals in 8 passes
  92. Tue Feb 14 01:03:33 2023 max relations containing the same ideal: 100
  93. Tue Feb 14 01:04:49 2023 removing 8967106 relations and 6967106 ideals in 2000000 cliques
  94. Tue Feb 14 01:04:52 2023 commencing in-memory singleton removal
  95. Tue Feb 14 01:05:06 2023 begin with 95238212 relations and 97806620 unique ideals
  96. Tue Feb 14 01:07:04 2023 reduce to 94590338 relations and 90180616 ideals in 9 passes
  97. Tue Feb 14 01:07:04 2023 max relations containing the same ideal: 94
  98. Tue Feb 14 01:08:14 2023 removing 8946290 relations and 6946290 ideals in 2000000 cliques
  99. Tue Feb 14 01:08:16 2023 commencing in-memory singleton removal
  100. Tue Feb 14 01:08:29 2023 begin with 85644048 relations and 90180616 unique ideals
  101. Tue Feb 14 01:10:03 2023 reduce to 84936936 relations and 82514187 ideals in 8 passes
  102. Tue Feb 14 01:10:03 2023 max relations containing the same ideal: 86
  103. Tue Feb 14 01:11:06 2023 removing 2387992 relations and 2002249 ideals in 385743 cliques
  104. Tue Feb 14 01:11:08 2023 commencing in-memory singleton removal
  105. Tue Feb 14 01:11:20 2023 begin with 82548944 relations and 82514187 unique ideals
  106. Tue Feb 14 01:12:39 2023 reduce to 82500879 relations and 80463677 ideals in 7 passes
  107. Tue Feb 14 01:12:39 2023 max relations containing the same ideal: 85
  108. Tue Feb 14 01:13:49 2023 relations with 0 large ideals: 65345
  109. Tue Feb 14 01:13:49 2023 relations with 1 large ideals: 36589
  110. Tue Feb 14 01:13:49 2023 relations with 2 large ideals: 419155
  111. Tue Feb 14 01:13:49 2023 relations with 3 large ideals: 2582453
  112. Tue Feb 14 01:13:49 2023 relations with 4 large ideals: 8677807
  113. Tue Feb 14 01:13:49 2023 relations with 5 large ideals: 17499879
  114. Tue Feb 14 01:13:49 2023 relations with 6 large ideals: 22115469
  115. Tue Feb 14 01:13:49 2023 relations with 7+ large ideals: 31104182
  116. Tue Feb 14 01:13:49 2023 commencing 2-way merge
  117. Tue Feb 14 01:15:14 2023 reduce to 51389621 relation sets and 49352418 unique ideals
  118. Tue Feb 14 01:15:14 2023 commencing full merge
  119. Tue Feb 14 01:46:16 2023 memory use: 6439.7 MB
  120. Tue Feb 14 01:46:29 2023 found 23109122 cycles, need 23006618
  121. Tue Feb 14 01:46:30 2023 weight of 23006618 cycles is about 2761233335 (120.02/cycle)
  122. Tue Feb 14 01:46:30 2023 distribution of cycle lengths:
  123. Tue Feb 14 01:46:30 2023 1 relations: 1620386
  124. Tue Feb 14 01:46:30 2023 2 relations: 1740633
  125. Tue Feb 14 01:46:30 2023 3 relations: 1789308
  126. Tue Feb 14 01:46:30 2023 4 relations: 1719873
  127. Tue Feb 14 01:46:30 2023 5 relations: 1658145
  128. Tue Feb 14 01:46:30 2023 6 relations: 1577892
  129. Tue Feb 14 01:46:30 2023 7 relations: 1486650
  130. Tue Feb 14 01:46:30 2023 8 relations: 1397520
  131. Tue Feb 14 01:46:30 2023 9 relations: 1309933
  132. Tue Feb 14 01:46:30 2023 10+ relations: 8706278
  133. Tue Feb 14 01:46:30 2023 heaviest cycle: 28 relations
  134. Tue Feb 14 01:47:29 2023 commencing cycle optimization
  135. Tue Feb 14 01:48:21 2023 start with 196155055 relations
  136. Tue Feb 14 02:00:06 2023 pruned 7599173 relations
  137. Tue Feb 14 02:00:06 2023 memory use: 5396.7 MB
  138. Tue Feb 14 02:00:06 2023 distribution of cycle lengths:
  139. Tue Feb 14 02:00:06 2023 1 relations: 1620386
  140. Tue Feb 14 02:00:06 2023 2 relations: 1780364
  141. Tue Feb 14 02:00:06 2023 3 relations: 1859204
  142. Tue Feb 14 02:00:06 2023 4 relations: 1780925
  143. Tue Feb 14 02:00:06 2023 5 relations: 1726926
  144. Tue Feb 14 02:00:06 2023 6 relations: 1635180
  145. Tue Feb 14 02:00:06 2023 7 relations: 1544092
  146. Tue Feb 14 02:00:06 2023 8 relations: 1445679
  147. Tue Feb 14 02:00:06 2023 9 relations: 1350327
  148. Tue Feb 14 02:00:06 2023 10+ relations: 8263535
  149. Tue Feb 14 02:00:06 2023 heaviest cycle: 28 relations
  150. Tue Feb 14 02:01:36 2023 RelProcTime: 15249
  151. Tue Feb 14 02:01:36 2023
  152. Tue Feb 14 02:01:36 2023 commencing linear algebra
  153. Tue Feb 14 02:01:43 2023 read 23006618 cycles
  154. Tue Feb 14 02:02:43 2023 cycles contain 81226929 unique relations
  155. Tue Feb 14 02:16:15 2023 read 81226929 relations
  156. Tue Feb 14 02:19:31 2023 using 20 quadratic characters above 4294917296
  157. Tue Feb 14 02:25:31 2023 building initial matrix
  158. Tue Feb 14 02:43:18 2023 memory use: 10232.3 MB
  159. Tue Feb 14 02:44:00 2023 read 23006618 cycles
  160. Tue Feb 14 02:44:07 2023 matrix is 23006441 x 23006618 (10775.4 MB) with weight 3049819225 (132.56/col)
  161. Tue Feb 14 02:44:07 2023 sparse part has weight 2594632640 (112.78/col)
  162. Tue Feb 14 02:52:27 2023 filtering completed in 2 passes
  163. Tue Feb 14 02:52:34 2023 matrix is 23005053 x 23005230 (10775.3 MB) with weight 3049772729 (132.57/col)
  164. Tue Feb 14 02:52:34 2023 sparse part has weight 2594614996 (112.78/col)
  165. Tue Feb 14 02:54:46 2023 matrix starts at (0, 0)
  166. Tue Feb 14 02:54:52 2023 matrix is 23005053 x 23005230 (10775.3 MB) with weight 3049772729 (132.57/col)
  167. Tue Feb 14 02:54:52 2023 sparse part has weight 2594614996 (112.78/col)
  168. Tue Feb 14 02:54:52 2023 saving the first 48 matrix rows for later
  169. Tue Feb 14 02:55:00 2023 matrix includes 64 packed rows
  170. Tue Feb 14 02:55:05 2023 matrix is 23005005 x 23005230 (10387.2 MB) with weight 2647510103 (115.08/col)
  171. Tue Feb 14 02:55:05 2023 sparse part has weight 2492893767 (108.36/col)
  172. Tue Feb 14 02:55:05 2023 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  173. Tue Feb 14 02:57:52 2023 commencing Lanczos iteration (24 threads)
  174. Tue Feb 14 02:57:52 2023 memory use: 8992.6 MB
  175. Tue Feb 14 02:58:43 2023 linear algebra at 0.0%, ETA 201h47m
  176. Tue Feb 14 02:58:59 2023 checkpointing every 120000 dimensions
  177. Tue Feb 14 18:51:37 2023
  178. Tue Feb 14 18:51:37 2023
  179. Tue Feb 14 18:51:37 2023 Msieve v. 1.52 (SVN unknown)
  180. Tue Feb 14 18:51:37 2023 random seeds: e9d91030 d913107f
  181. Tue Feb 14 18:51:37 2023 factoring 10590536634012856393176216400859329125666884737556621703305414724685429091817157203910041656385108336915437901999184699980088999249781744496787663426005064288024663396550962782548635389084263988372904642909829201 (212 digits)
  182. Tue Feb 14 18:51:38 2023 no P-1/P+1/ECM available, skipping
  183. Tue Feb 14 18:51:38 2023 commencing number field sieve (212-digit input)
  184. Tue Feb 14 18:51:38 2023 R0: 176372588156290374069930666601805113523699712
  185. Tue Feb 14 18:51:38 2023 R1: -44567640326363195900190045974568007
  186. Tue Feb 14 18:51:38 2023 A0: 49
  187. Tue Feb 14 18:51:38 2023 A1: 0
  188. Tue Feb 14 18:51:38 2023 A2: 0
  189. Tue Feb 14 18:51:38 2023 A3: 0
  190. Tue Feb 14 18:51:38 2023 A4: 0
  191. Tue Feb 14 18:51:38 2023 A5: 0
  192. Tue Feb 14 18:51:38 2023 A6: 144
  193. Tue Feb 14 18:51:38 2023 skew 0.84, size 2.304e-013, alpha 0.270, combined = 3.962e-014 rroots = 0
  194. Tue Feb 14 18:51:38 2023
  195. Tue Feb 14 18:51:38 2023 commencing linear algebra
  196. Tue Feb 14 18:52:28 2023
  197. Tue Feb 14 18:52:28 2023
  198. Tue Feb 14 18:52:28 2023 Msieve v. 1.52 (SVN unknown)
  199. Tue Feb 14 18:52:28 2023 random seeds: c7147eb0 129b20a5
  200. Tue Feb 14 18:52:28 2023 factoring 10590536634012856393176216400859329125666884737556621703305414724685429091817157203910041656385108336915437901999184699980088999249781744496787663426005064288024663396550962782548635389084263988372904642909829201 (212 digits)
  201. Tue Feb 14 18:52:29 2023 no P-1/P+1/ECM available, skipping
  202. Tue Feb 14 18:52:29 2023 commencing number field sieve (212-digit input)
  203. Tue Feb 14 18:52:29 2023 R0: 176372588156290374069930666601805113523699712
  204. Tue Feb 14 18:52:29 2023 R1: -44567640326363195900190045974568007
  205. Tue Feb 14 18:52:29 2023 A0: 49
  206. Tue Feb 14 18:52:29 2023 A1: 0
  207. Tue Feb 14 18:52:29 2023 A2: 0
  208. Tue Feb 14 18:52:29 2023 A3: 0
  209. Tue Feb 14 18:52:29 2023 A4: 0
  210. Tue Feb 14 18:52:29 2023 A5: 0
  211. Tue Feb 14 18:52:29 2023 A6: 144
  212. Tue Feb 14 18:52:29 2023 skew 0.84, size 2.304e-013, alpha 0.270, combined = 3.962e-014 rroots = 0
  213. Tue Feb 14 18:52:29 2023
  214. Tue Feb 14 18:52:29 2023 commencing linear algebra
  215. Tue Feb 14 18:52:48 2023 matrix starts at (0, 0)
  216. Tue Feb 14 18:52:55 2023 matrix is 23005053 x 23005230 (10775.3 MB) with weight 3049772729 (132.57/col)
  217. Tue Feb 14 18:52:55 2023 sparse part has weight 2594614996 (112.78/col)
  218. Tue Feb 14 18:52:55 2023 saving the first 48 matrix rows for later
  219. Tue Feb 14 18:53:02 2023 matrix includes 64 packed rows
  220. Tue Feb 14 18:53:07 2023 matrix is 23005005 x 23005230 (10387.2 MB) with weight 2647510103 (115.08/col)
  221. Tue Feb 14 18:53:07 2023 sparse part has weight 2492893767 (108.36/col)
  222. Tue Feb 14 18:53:07 2023 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  223. Tue Feb 14 18:55:48 2023 commencing Lanczos iteration (24 threads)
  224. Tue Feb 14 18:55:48 2023 memory use: 8992.6 MB
  225. Tue Feb 14 18:55:50 2023 restarting at iteration 26569 (dim = 1680018)
  226. Tue Feb 14 18:56:33 2023 linear algebra at 7.3%, ETA 168h40m
  227. Tue Feb 14 18:56:48 2023 checkpointing every 130000 dimensions
  228. Wed Feb 22 00:58:44 2023 lanczos halted after 363801 iterations (dim = 23005001)
  229. Wed Feb 22 00:59:14 2023 recovered 39 nontrivial dependencies
  230. Wed Feb 22 00:59:33 2023 BLanczosTime: 626824
  231. Wed Feb 22 00:59:33 2023
  232. Wed Feb 22 00:59:33 2023 commencing square root phase
  233. Wed Feb 22 00:59:33 2023 reading relations for dependency 1
  234. Wed Feb 22 00:59:39 2023 read 11506833 cycles
  235. Wed Feb 22 01:00:07 2023 cycles contain 40619296 unique relations
  236. Wed Feb 22 01:08:05 2023 read 40619296 relations
  237. Wed Feb 22 01:12:11 2023 multiplying 40619296 relations
  238. Wed Feb 22 02:02:23 2023 multiply complete, coefficients have about 1355.85 million bits
  239. Wed Feb 22 02:02:38 2023 initial square root is modulo 1207699
  240. Wed Feb 22 03:00:54 2023 sqrtTime: 7281
  241. Wed Feb 22 03:00:54 2023 prp100 factor: 1411979474553525213485308102160432149727458790743573106920175809299942190265337649070336548997636593
  242. Wed Feb 22 03:00:54 2023 prp112 factor: 7500489082790410714129426185921525450944959792514819989355739768613612079358985948485267692098907766012258933857
  243. Wed Feb 22 03:00:54 2023 elapsed time 176:08:26
  244.  
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