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Msieve log of C167_829332_3724

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Aug 12th, 2022
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  1. Wed Aug 10 17:27:41 2022
  2. Wed Aug 10 17:27:41 2022
  3. Wed Aug 10 17:27:41 2022 Msieve v. 1.53 (SVN 988)
  4. Wed Aug 10 17:27:41 2022 random seeds: 594552e4 b3229401
  5. Wed Aug 10 17:27:41 2022 factoring 15761114041231277805030275018397953000142507447976410377415839066345715670293683960876183374309209997923641711956343872823005262179959662860070850705268647929025723077 (167 digits)
  6. Wed Aug 10 17:27:42 2022 searching for 15-digit factors
  7. Wed Aug 10 17:27:43 2022 commencing number field sieve (167-digit input)
  8. Wed Aug 10 17:27:43 2022 R0: -281209453586226839593397399547354
  9. Wed Aug 10 17:27:43 2022 R1: 6894852887038168182389
  10. Wed Aug 10 17:27:43 2022 A0: -8112987031697699796125842597462611228225
  11. Wed Aug 10 17:27:43 2022 A1: 1463796718858491225825035470421096
  12. Wed Aug 10 17:27:43 2022 A2: 675649033754478752357651549
  13. Wed Aug 10 17:27:43 2022 A3: -62538175441717025716
  14. Wed Aug 10 17:27:43 2022 A4: -4566221614320
  15. Wed Aug 10 17:27:43 2022 A5: 27000
  16. Wed Aug 10 17:27:43 2022 skew 9673870.57, size 3.560e-016, alpha -6.978, combined = 6.172e-013 rroots = 5
  17. Wed Aug 10 17:27:43 2022
  18. Wed Aug 10 17:27:43 2022 commencing relation filtering
  19. Wed Aug 10 17:27:43 2022 setting target matrix density to 130.0
  20. Wed Aug 10 17:27:43 2022 estimated available RAM is 12041.5 MB
  21. Wed Aug 10 17:27:43 2022 commencing duplicate removal, pass 1
  22. Wed Aug 10 17:32:00 2022 error -15 reading relation 19030208
  23. Wed Aug 10 17:33:40 2022 error -5 reading relation 26406715
  24. Wed Aug 10 17:39:12 2022 error -15 reading relation 50825121
  25. Wed Aug 10 17:39:31 2022 error -9 reading relation 52163028
  26. Wed Aug 10 17:40:10 2022 error -1 reading relation 54899323
  27. Wed Aug 10 17:40:41 2022 error -9 reading relation 57116437
  28. Wed Aug 10 17:45:00 2022 error -1 reading relation 76184122
  29. Wed Aug 10 17:47:29 2022 error -1 reading relation 86989581
  30. Wed Aug 10 17:47:46 2022 error -1 reading relation 88238358
  31. Wed Aug 10 17:47:59 2022 error -15 reading relation 89212938
  32. Wed Aug 10 17:48:14 2022 error -1 reading relation 90297703
  33. Wed Aug 10 17:48:17 2022 error -9 reading relation 90509677
  34. Wed Aug 10 17:48:21 2022 error -9 reading relation 90817837
  35. Wed Aug 10 17:48:29 2022 error -15 reading relation 91451741
  36. Wed Aug 10 17:48:51 2022 error -1 reading relation 93002963
  37. Wed Aug 10 17:49:02 2022 error -5 reading relation 93827566
  38. Wed Aug 10 17:49:07 2022 error -1 reading relation 94201120
  39. Wed Aug 10 17:49:18 2022 error -9 reading relation 94985896
  40. Wed Aug 10 17:53:13 2022 error -15 reading relation 112489475
  41. Wed Aug 10 17:53:28 2022 error -1 reading relation 113717584
  42. Wed Aug 10 17:53:30 2022 error -11 reading relation 113857421
  43. Wed Aug 10 17:54:29 2022 error -1 reading relation 118383875
  44. Wed Aug 10 17:54:30 2022 error -15 reading relation 118460038
  45. Wed Aug 10 17:54:31 2022 error -9 reading relation 118532727
  46. Wed Aug 10 17:55:53 2022 error -9 reading relation 124736184
  47. Wed Aug 10 17:55:58 2022 error -15 reading relation 125175090
  48. Wed Aug 10 17:55:59 2022 error -15 reading relation 125204403
  49. Wed Aug 10 17:56:09 2022 error -15 reading relation 125970611
  50. Wed Aug 10 17:58:10 2022 error -1 reading relation 135032234
  51. Wed Aug 10 17:58:34 2022 error -9 reading relation 136878720
  52. Wed Aug 10 17:58:35 2022 error -5 reading relation 136978381
  53. Wed Aug 10 17:58:43 2022 error -1 reading relation 137554030
  54. Wed Aug 10 17:59:28 2022 skipped 16 relations with composite factors
  55. Wed Aug 10 17:59:28 2022 found 32572091 hash collisions in 141002884 relations
  56. Wed Aug 10 18:00:06 2022 added 122061 free relations
  57. Wed Aug 10 18:00:06 2022 commencing duplicate removal, pass 2
  58. Wed Aug 10 18:02:23 2022 found 36073842 duplicates and 105051103 unique relations
  59. Wed Aug 10 18:02:23 2022 memory use: 852.8 MB
  60. Wed Aug 10 18:02:23 2022 reading ideals above 118423552
  61. Wed Aug 10 18:02:23 2022 commencing singleton removal, initial pass
  62. Wed Aug 10 18:21:12 2022 memory use: 1506.0 MB
  63. Wed Aug 10 18:21:12 2022 reading all ideals from disk
  64. Wed Aug 10 18:21:16 2022 memory use: 1681.0 MB
  65. Wed Aug 10 18:21:21 2022 commencing in-memory singleton removal
  66. Wed Aug 10 18:21:26 2022 begin with 105051103 relations and 79320748 unique ideals
  67. Wed Aug 10 18:22:10 2022 reduce to 72977400 relations and 44370240 ideals in 12 passes
  68. Wed Aug 10 18:22:10 2022 max relations containing the same ideal: 35
  69. Wed Aug 10 18:22:17 2022 reading ideals above 720000
  70. Wed Aug 10 18:22:17 2022 commencing singleton removal, initial pass
  71. Wed Aug 10 18:39:51 2022 memory use: 1506.0 MB
  72. Wed Aug 10 18:39:51 2022 reading all ideals from disk
  73. Wed Aug 10 18:39:57 2022 memory use: 2757.0 MB
  74. Wed Aug 10 18:40:08 2022 keeping 57480303 ideals with weight <= 200, target excess is 392678
  75. Wed Aug 10 18:40:20 2022 commencing in-memory singleton removal
  76. Wed Aug 10 18:40:29 2022 begin with 72977400 relations and 57480303 unique ideals
  77. Wed Aug 10 18:41:36 2022 reduce to 72892318 relations and 57395203 ideals in 8 passes
  78. Wed Aug 10 18:41:36 2022 max relations containing the same ideal: 200
  79. Wed Aug 10 18:42:21 2022 removing 8456926 relations and 6456926 ideals in 2000000 cliques
  80. Wed Aug 10 18:42:25 2022 commencing in-memory singleton removal
  81. Wed Aug 10 18:42:33 2022 begin with 64435392 relations and 57395203 unique ideals
  82. Wed Aug 10 18:43:32 2022 reduce to 63695522 relations and 50174029 ideals in 8 passes
  83. Wed Aug 10 18:43:32 2022 max relations containing the same ideal: 192
  84. Wed Aug 10 18:44:12 2022 removing 6687996 relations and 4687996 ideals in 2000000 cliques
  85. Wed Aug 10 18:44:15 2022 commencing in-memory singleton removal
  86. Wed Aug 10 18:44:22 2022 begin with 57007526 relations and 50174029 unique ideals
  87. Wed Aug 10 18:45:05 2022 reduce to 56486225 relations and 44949067 ideals in 7 passes
  88. Wed Aug 10 18:45:05 2022 max relations containing the same ideal: 179
  89. Wed Aug 10 18:45:42 2022 removing 6206981 relations and 4206981 ideals in 2000000 cliques
  90. Wed Aug 10 18:45:45 2022 commencing in-memory singleton removal
  91. Wed Aug 10 18:45:51 2022 begin with 50279244 relations and 44949067 unique ideals
  92. Wed Aug 10 18:46:30 2022 reduce to 49807980 relations and 40255853 ideals in 7 passes
  93. Wed Aug 10 18:46:30 2022 max relations containing the same ideal: 168
  94. Wed Aug 10 18:47:00 2022 removing 5966503 relations and 3966503 ideals in 2000000 cliques
  95. Wed Aug 10 18:47:02 2022 commencing in-memory singleton removal
  96. Wed Aug 10 18:47:08 2022 begin with 43841477 relations and 40255853 unique ideals
  97. Wed Aug 10 18:47:33 2022 reduce to 43378234 relations and 35810075 ideals in 6 passes
  98. Wed Aug 10 18:47:33 2022 max relations containing the same ideal: 157
  99. Wed Aug 10 18:47:59 2022 removing 5815458 relations and 3815458 ideals in 2000000 cliques
  100. Wed Aug 10 18:48:01 2022 commencing in-memory singleton removal
  101. Wed Aug 10 18:48:06 2022 begin with 37562776 relations and 35810075 unique ideals
  102. Wed Aug 10 18:48:31 2022 reduce to 37083883 relations and 31496805 ideals in 7 passes
  103. Wed Aug 10 18:48:31 2022 max relations containing the same ideal: 138
  104. Wed Aug 10 18:48:53 2022 removing 5713441 relations and 3713441 ideals in 2000000 cliques
  105. Wed Aug 10 18:48:55 2022 commencing in-memory singleton removal
  106. Wed Aug 10 18:48:59 2022 begin with 31370442 relations and 31496805 unique ideals
  107. Wed Aug 10 18:49:23 2022 reduce to 30845724 relations and 27234743 ideals in 8 passes
  108. Wed Aug 10 18:49:23 2022 max relations containing the same ideal: 121
  109. Wed Aug 10 18:49:42 2022 removing 5647564 relations and 3647564 ideals in 2000000 cliques
  110. Wed Aug 10 18:49:45 2022 commencing in-memory singleton removal
  111. Wed Aug 10 18:49:48 2022 begin with 25198160 relations and 27234743 unique ideals
  112. Wed Aug 10 18:50:08 2022 reduce to 24575407 relations and 22930756 ideals in 9 passes
  113. Wed Aug 10 18:50:08 2022 max relations containing the same ideal: 100
  114. Wed Aug 10 18:50:23 2022 removing 3678632 relations and 2489488 ideals in 1189144 cliques
  115. Wed Aug 10 18:50:25 2022 commencing in-memory singleton removal
  116. Wed Aug 10 18:50:27 2022 begin with 20896775 relations and 22930756 unique ideals
  117. Wed Aug 10 18:50:42 2022 reduce to 20515572 relations and 20043946 ideals in 7 passes
  118. Wed Aug 10 18:50:42 2022 max relations containing the same ideal: 90
  119. Wed Aug 10 18:50:55 2022 removing 101341 relations and 85222 ideals in 16119 cliques
  120. Wed Aug 10 18:50:55 2022 commencing in-memory singleton removal
  121. Wed Aug 10 18:50:58 2022 begin with 20414231 relations and 20043946 unique ideals
  122. Wed Aug 10 18:51:07 2022 reduce to 20413956 relations and 19958448 ideals in 5 passes
  123. Wed Aug 10 18:51:07 2022 max relations containing the same ideal: 89
  124. Wed Aug 10 18:51:12 2022 relations with 0 large ideals: 1289
  125. Wed Aug 10 18:51:12 2022 relations with 1 large ideals: 4703
  126. Wed Aug 10 18:51:12 2022 relations with 2 large ideals: 72971
  127. Wed Aug 10 18:51:12 2022 relations with 3 large ideals: 499244
  128. Wed Aug 10 18:51:12 2022 relations with 4 large ideals: 1829981
  129. Wed Aug 10 18:51:12 2022 relations with 5 large ideals: 4004630
  130. Wed Aug 10 18:51:12 2022 relations with 6 large ideals: 5516225
  131. Wed Aug 10 18:51:12 2022 relations with 7+ large ideals: 8484913
  132. Wed Aug 10 18:51:12 2022 commencing 2-way merge
  133. Wed Aug 10 18:51:29 2022 reduce to 13949188 relation sets and 13493679 unique ideals
  134. Wed Aug 10 18:51:29 2022 commencing full merge
  135. Wed Aug 10 18:58:12 2022 memory use: 1667.4 MB
  136. Wed Aug 10 18:58:16 2022 found 6087457 cycles, need 6073879
  137. Wed Aug 10 18:58:16 2022 weight of 6073879 cycles is about 789672269 (130.01/cycle)
  138. Wed Aug 10 18:58:16 2022 distribution of cycle lengths:
  139. Wed Aug 10 18:58:16 2022 1 relations: 159057
  140. Wed Aug 10 18:58:17 2022 2 relations: 294564
  141. Wed Aug 10 18:58:17 2022 3 relations: 384025
  142. Wed Aug 10 18:58:17 2022 4 relations: 423295
  143. Wed Aug 10 18:58:17 2022 5 relations: 457205
  144. Wed Aug 10 18:58:17 2022 6 relations: 467428
  145. Wed Aug 10 18:58:17 2022 7 relations: 462902
  146. Wed Aug 10 18:58:17 2022 8 relations: 448055
  147. Wed Aug 10 18:58:17 2022 9 relations: 420697
  148. Wed Aug 10 18:58:17 2022 10+ relations: 2556651
  149. Wed Aug 10 18:58:17 2022 heaviest cycle: 28 relations
  150. Wed Aug 10 18:58:22 2022 commencing cycle optimization
  151. Wed Aug 10 18:58:36 2022 start with 56172175 relations
  152. Wed Aug 10 19:01:56 2022 pruned 3085238 relations
  153. Wed Aug 10 19:01:56 2022 memory use: 1426.5 MB
  154. Wed Aug 10 19:01:56 2022 distribution of cycle lengths:
  155. Wed Aug 10 19:01:56 2022 1 relations: 159057
  156. Wed Aug 10 19:01:56 2022 2 relations: 304346
  157. Wed Aug 10 19:01:56 2022 3 relations: 403883
  158. Wed Aug 10 19:01:56 2022 4 relations: 446295
  159. Wed Aug 10 19:01:56 2022 5 relations: 486672
  160. Wed Aug 10 19:01:56 2022 6 relations: 496427
  161. Wed Aug 10 19:01:56 2022 7 relations: 494895
  162. Wed Aug 10 19:01:56 2022 8 relations: 475144
  163. Wed Aug 10 19:01:56 2022 9 relations: 444663
  164. Wed Aug 10 19:01:56 2022 10+ relations: 2362497
  165. Wed Aug 10 19:01:56 2022 heaviest cycle: 28 relations
  166. Wed Aug 10 19:02:10 2022 RelProcTime: 5667
  167. Wed Aug 10 19:02:10 2022
  168. Wed Aug 10 19:02:10 2022 commencing linear algebra
  169. Wed Aug 10 19:02:12 2022 read 6073879 cycles
  170. Wed Aug 10 19:02:29 2022 cycles contain 20190792 unique relations
  171. Wed Aug 10 19:05:54 2022 read 20190792 relations
  172. Wed Aug 10 19:06:46 2022 using 20 quadratic characters above 4294917295
  173. Wed Aug 10 19:09:06 2022 building initial matrix
  174. Wed Aug 10 19:16:26 2022 memory use: 2845.2 MB
  175. Wed Aug 10 19:16:36 2022 read 6073879 cycles
  176. Wed Aug 10 19:16:38 2022 matrix is 6073702 x 6073879 (3036.7 MB) with weight 922662785 (151.91/col)
  177. Wed Aug 10 19:16:38 2022 sparse part has weight 723172466 (119.06/col)
  178. Wed Aug 10 19:18:18 2022 filtering completed in 2 passes
  179. Wed Aug 10 19:18:19 2022 matrix is 6073661 x 6073838 (3036.7 MB) with weight 922660447 (151.91/col)
  180. Wed Aug 10 19:18:19 2022 sparse part has weight 723171531 (119.06/col)
  181. Wed Aug 10 19:18:47 2022 matrix starts at (0, 0)
  182. Wed Aug 10 19:18:49 2022 matrix is 6073661 x 6073838 (3036.7 MB) with weight 922660447 (151.91/col)
  183. Wed Aug 10 19:18:49 2022 sparse part has weight 723171531 (119.06/col)
  184. Wed Aug 10 19:18:49 2022 saving the first 48 matrix rows for later
  185. Wed Aug 10 19:18:52 2022 matrix includes 64 packed rows
  186. Wed Aug 10 19:18:53 2022 matrix is 6073613 x 6073838 (2950.9 MB) with weight 793111580 (130.58/col)
  187. Wed Aug 10 19:18:53 2022 sparse part has weight 712812560 (117.36/col)
  188. Wed Aug 10 19:18:53 2022 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  189. Wed Aug 10 19:19:48 2022 commencing Lanczos iteration (6 threads)
  190. Wed Aug 10 19:19:48 2022 memory use: 2451.2 MB
  191. Wed Aug 10 19:20:22 2022 linear algebra at 0.0%, ETA 36h31m
  192. Wed Aug 10 19:20:32 2022 checkpointing every 170000 dimensions
  193. Fri Aug 12 07:44:01 2022 lanczos halted after 96051 iterations (dim = 6073613)
  194. Fri Aug 12 07:44:10 2022 recovered 29 nontrivial dependencies
  195. Fri Aug 12 07:44:13 2022 BLanczosTime: 132123
  196. Fri Aug 12 07:44:13 2022
  197. Fri Aug 12 07:44:13 2022 commencing square root phase
  198. Fri Aug 12 07:44:13 2022 handling dependencies 1 to 64
  199. Fri Aug 12 07:44:13 2022 reading relations for dependency 1
  200. Fri Aug 12 07:44:15 2022 read 3037844 cycles
  201. Fri Aug 12 07:44:24 2022 cycles contain 10095974 unique relations
  202. Fri Aug 12 07:46:34 2022 read 10095974 relations
  203. Fri Aug 12 07:47:52 2022 multiplying 10095974 relations
  204. Fri Aug 12 08:02:39 2022 multiply complete, coefficients have about 546.60 million bits
  205. Fri Aug 12 08:02:44 2022 initial square root is modulo 80147
  206. Fri Aug 12 08:18:50 2022 GCD is 1, no factor found
  207. Fri Aug 12 08:18:50 2022 reading relations for dependency 2
  208. Fri Aug 12 08:18:52 2022 read 3035738 cycles
  209. Fri Aug 12 08:19:01 2022 cycles contain 10093686 unique relations
  210. Fri Aug 12 08:21:11 2022 read 10093686 relations
  211. Fri Aug 12 08:22:20 2022 multiplying 10093686 relations
  212. Fri Aug 12 08:36:38 2022 multiply complete, coefficients have about 546.47 million bits
  213. Fri Aug 12 08:36:42 2022 initial square root is modulo 79939
  214. Fri Aug 12 08:52:43 2022 found factor: 4516386001675881885105417954428106302349617522420700533696453
  215. Fri Aug 12 08:52:43 2022 reading relations for dependency 3
  216. Fri Aug 12 08:52:45 2022 read 3037577 cycles
  217. Fri Aug 12 08:52:54 2022 cycles contain 10098698 unique relations
  218. Fri Aug 12 08:55:05 2022 read 10098698 relations
  219. Fri Aug 12 08:56:14 2022 multiplying 10098698 relations
  220. Fri Aug 12 09:10:40 2022 multiply complete, coefficients have about 546.74 million bits
  221. Fri Aug 12 09:10:44 2022 initial square root is modulo 80537
  222. Fri Aug 12 09:27:36 2022 sqrtTime: 6203
  223. Fri Aug 12 09:27:36 2022 p52 factor: 2351063255350243023436054825967883176694563822044243
  224. Fri Aug 12 09:27:36 2022 p55 factor: 1484333690110492397786145839181448212644509847926303963
  225. Fri Aug 12 09:27:36 2022 p61 factor: 4516386001675881885105417954428106302349617522420700533696453
  226. Fri Aug 12 09:27:36 2022 elapsed time 39:59:55
  227.  
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