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Msieve log of C167_230916_6623

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Sep 9th, 2022
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  1. Thu Sep 08 09:14:54 2022
  2. Thu Sep 08 09:14:54 2022
  3. Thu Sep 08 09:14:54 2022 Msieve v. 1.53 (SVN 988)
  4. Thu Sep 08 09:14:54 2022 random seeds: 98cb9c58 d1b9dace
  5. Thu Sep 08 09:14:54 2022 factoring 68480980185965589250694154773723855827100479692664182650843065204557192011901064193836421108381794510505559718483397542729522676327402943506853535111599751262500151689 (167 digits)
  6. Thu Sep 08 09:14:55 2022 searching for 15-digit factors
  7. Thu Sep 08 09:14:56 2022 commencing number field sieve (167-digit input)
  8. Thu Sep 08 09:14:56 2022 R0: -367615617529328446474038213787280
  9. Thu Sep 08 09:14:56 2022 R1: 248517663147240641
  10. Thu Sep 08 09:14:56 2022 A0: -1547545381426193518134376127334202552733511
  11. Thu Sep 08 09:14:56 2022 A1: 210609628800511515576857126330306105
  12. Thu Sep 08 09:14:56 2022 A2: -4433164644746260507425121055
  13. Thu Sep 08 09:14:56 2022 A3: -378099455992993835245
  14. Thu Sep 08 09:14:56 2022 A4: 1016158879626
  15. Thu Sep 08 09:14:56 2022 A5: 10200
  16. Thu Sep 08 09:14:56 2022 skew 69820427.41, size 2.664e-016, alpha -7.846, combined = 5.131e-013 rroots = 3
  17. Thu Sep 08 09:14:56 2022
  18. Thu Sep 08 09:14:56 2022 commencing relation filtering
  19. Thu Sep 08 09:14:56 2022 setting target matrix density to 130.0
  20. Thu Sep 08 09:14:56 2022 estimated available RAM is 16151.1 MB
  21. Thu Sep 08 09:14:56 2022 commencing duplicate removal, pass 1
  22. Thu Sep 08 09:15:18 2022 error -15 reading relation 2144024
  23. Thu Sep 08 09:17:27 2022 error -5 reading relation 14850870
  24. Thu Sep 08 09:17:32 2022 error -15 reading relation 15405001
  25. Thu Sep 08 09:18:05 2022 error -9 reading relation 18592967
  26. Thu Sep 08 09:18:05 2022 error -15 reading relation 18602282
  27. Thu Sep 08 09:22:02 2022 error -1 reading relation 41953514
  28. Thu Sep 08 09:22:30 2022 error -15 reading relation 44815282
  29. Thu Sep 08 09:24:14 2022 error -15 reading relation 54883991
  30. Thu Sep 08 09:25:03 2022 error -15 reading relation 59595090
  31. Thu Sep 08 09:25:03 2022 error -15 reading relation 59605342
  32. Thu Sep 08 09:27:24 2022 error -15 reading relation 73367272
  33. Thu Sep 08 09:27:25 2022 error -15 reading relation 73405103
  34. Thu Sep 08 09:27:59 2022 error -15 reading relation 76711490
  35. Thu Sep 08 09:28:06 2022 error -15 reading relation 77451413
  36. Thu Sep 08 09:28:27 2022 error -15 reading relation 79558671
  37. Thu Sep 08 09:28:35 2022 error -1 reading relation 80272847
  38. Thu Sep 08 09:28:43 2022 error -9 reading relation 81128048
  39. Thu Sep 08 09:29:21 2022 error -9 reading relation 84770112
  40. Thu Sep 08 09:31:05 2022 error -15 reading relation 94971385
  41. Thu Sep 08 09:31:05 2022 error -1 reading relation 94977202
  42. Thu Sep 08 09:31:22 2022 error -15 reading relation 96736131
  43. Thu Sep 08 09:32:17 2022 error -9 reading relation 102082076
  44. Thu Sep 08 09:32:17 2022 error -9 reading relation 102138364
  45. Thu Sep 08 09:33:54 2022 error -1 reading relation 111596380
  46. Thu Sep 08 09:33:55 2022 error -5 reading relation 111714408
  47. Thu Sep 08 09:34:17 2022 error -9 reading relation 113885738
  48. Thu Sep 08 09:34:18 2022 error -15 reading relation 114012003
  49. Thu Sep 08 09:38:52 2022 skipped 12 relations with composite factors
  50. Thu Sep 08 09:38:52 2022 found 30154794 hash collisions in 140651899 relations
  51. Thu Sep 08 09:39:22 2022 added 121859 free relations
  52. Thu Sep 08 09:39:22 2022 commencing duplicate removal, pass 2
  53. Thu Sep 08 09:41:08 2022 found 29686671 duplicates and 111087087 unique relations
  54. Thu Sep 08 09:41:08 2022 memory use: 724.8 MB
  55. Thu Sep 08 09:41:08 2022 reading ideals above 74907648
  56. Thu Sep 08 09:41:08 2022 commencing singleton removal, initial pass
  57. Thu Sep 08 09:57:31 2022 memory use: 2756.0 MB
  58. Thu Sep 08 09:57:31 2022 reading all ideals from disk
  59. Thu Sep 08 09:57:34 2022 memory use: 1899.5 MB
  60. Thu Sep 08 09:57:39 2022 commencing in-memory singleton removal
  61. Thu Sep 08 09:57:44 2022 begin with 111087087 relations and 85113144 unique ideals
  62. Thu Sep 08 09:58:49 2022 reduce to 80516461 relations and 52039616 ideals in 12 passes
  63. Thu Sep 08 09:58:49 2022 max relations containing the same ideal: 54
  64. Thu Sep 08 09:58:56 2022 reading ideals above 720000
  65. Thu Sep 08 09:58:56 2022 commencing singleton removal, initial pass
  66. Thu Sep 08 10:14:12 2022 memory use: 1506.0 MB
  67. Thu Sep 08 10:14:13 2022 reading all ideals from disk
  68. Thu Sep 08 10:14:18 2022 memory use: 3083.2 MB
  69. Thu Sep 08 10:14:30 2022 keeping 60362631 ideals with weight <= 200, target excess is 456227
  70. Thu Sep 08 10:14:41 2022 commencing in-memory singleton removal
  71. Thu Sep 08 10:14:51 2022 begin with 80516461 relations and 60362631 unique ideals
  72. Thu Sep 08 10:15:54 2022 reduce to 80514493 relations and 60360663 ideals in 6 passes
  73. Thu Sep 08 10:15:54 2022 max relations containing the same ideal: 200
  74. Thu Sep 08 10:16:40 2022 removing 8013003 relations and 6013003 ideals in 2000000 cliques
  75. Thu Sep 08 10:16:43 2022 commencing in-memory singleton removal
  76. Thu Sep 08 10:16:51 2022 begin with 72501490 relations and 60360663 unique ideals
  77. Thu Sep 08 10:17:55 2022 reduce to 71882343 relations and 53710027 ideals in 7 passes
  78. Thu Sep 08 10:17:55 2022 max relations containing the same ideal: 195
  79. Thu Sep 08 10:18:36 2022 removing 6368290 relations and 4368290 ideals in 2000000 cliques
  80. Thu Sep 08 10:18:39 2022 commencing in-memory singleton removal
  81. Thu Sep 08 10:18:47 2022 begin with 65514053 relations and 53710027 unique ideals
  82. Thu Sep 08 10:19:54 2022 reduce to 65083838 relations and 48899785 ideals in 8 passes
  83. Thu Sep 08 10:19:54 2022 max relations containing the same ideal: 185
  84. Thu Sep 08 10:20:32 2022 removing 5939156 relations and 3939156 ideals in 2000000 cliques
  85. Thu Sep 08 10:20:34 2022 commencing in-memory singleton removal
  86. Thu Sep 08 10:20:40 2022 begin with 59144682 relations and 48899785 unique ideals
  87. Thu Sep 08 10:21:33 2022 reduce to 58761237 relations and 44566426 ideals in 7 passes
  88. Thu Sep 08 10:21:33 2022 max relations containing the same ideal: 173
  89. Thu Sep 08 10:22:08 2022 removing 5724365 relations and 3724365 ideals in 2000000 cliques
  90. Thu Sep 08 10:22:10 2022 commencing in-memory singleton removal
  91. Thu Sep 08 10:22:16 2022 begin with 53036872 relations and 44566426 unique ideals
  92. Thu Sep 08 10:23:03 2022 reduce to 52665315 relations and 40459512 ideals in 7 passes
  93. Thu Sep 08 10:23:03 2022 max relations containing the same ideal: 164
  94. Thu Sep 08 10:23:35 2022 removing 5594489 relations and 3594489 ideals in 2000000 cliques
  95. Thu Sep 08 10:23:37 2022 commencing in-memory singleton removal
  96. Thu Sep 08 10:23:42 2022 begin with 47070826 relations and 40459512 unique ideals
  97. Thu Sep 08 10:24:22 2022 reduce to 46693208 relations and 36475169 ideals in 7 passes
  98. Thu Sep 08 10:24:22 2022 max relations containing the same ideal: 150
  99. Thu Sep 08 10:24:52 2022 removing 5521013 relations and 3521013 ideals in 2000000 cliques
  100. Thu Sep 08 10:24:54 2022 commencing in-memory singleton removal
  101. Thu Sep 08 10:24:59 2022 begin with 41172195 relations and 36475169 unique ideals
  102. Thu Sep 08 10:25:30 2022 reduce to 40772168 relations and 32539768 ideals in 6 passes
  103. Thu Sep 08 10:25:30 2022 max relations containing the same ideal: 136
  104. Thu Sep 08 10:25:55 2022 removing 5480242 relations and 3480242 ideals in 2000000 cliques
  105. Thu Sep 08 10:25:57 2022 commencing in-memory singleton removal
  106. Thu Sep 08 10:26:01 2022 begin with 35291926 relations and 32539768 unique ideals
  107. Thu Sep 08 10:26:32 2022 reduce to 34851080 relations and 28600845 ideals in 7 passes
  108. Thu Sep 08 10:26:32 2022 max relations containing the same ideal: 125
  109. Thu Sep 08 10:26:54 2022 removing 5470977 relations and 3470977 ideals in 2000000 cliques
  110. Thu Sep 08 10:26:56 2022 commencing in-memory singleton removal
  111. Thu Sep 08 10:26:59 2022 begin with 29380103 relations and 28600845 unique ideals
  112. Thu Sep 08 10:27:28 2022 reduce to 28870651 relations and 24596352 ideals in 8 passes
  113. Thu Sep 08 10:27:28 2022 max relations containing the same ideal: 114
  114. Thu Sep 08 10:27:45 2022 removing 5495777 relations and 3495777 ideals in 2000000 cliques
  115. Thu Sep 08 10:27:47 2022 commencing in-memory singleton removal
  116. Thu Sep 08 10:27:50 2022 begin with 23374874 relations and 24596352 unique ideals
  117. Thu Sep 08 10:28:10 2022 reduce to 22755919 relations and 20447059 ideals in 8 passes
  118. Thu Sep 08 10:28:10 2022 max relations containing the same ideal: 92
  119. Thu Sep 08 10:28:24 2022 removing 5024357 relations and 3244721 ideals in 1779636 cliques
  120. Thu Sep 08 10:28:25 2022 commencing in-memory singleton removal
  121. Thu Sep 08 10:28:27 2022 begin with 17731562 relations and 20447059 unique ideals
  122. Thu Sep 08 10:28:43 2022 reduce to 17035764 relations and 16460873 ideals in 9 passes
  123. Thu Sep 08 10:28:43 2022 max relations containing the same ideal: 75
  124. Thu Sep 08 10:28:54 2022 removing 262325 relations and 216658 ideals in 45667 cliques
  125. Thu Sep 08 10:28:55 2022 commencing in-memory singleton removal
  126. Thu Sep 08 10:28:56 2022 begin with 16773439 relations and 16460873 unique ideals
  127. Thu Sep 08 10:29:07 2022 reduce to 16770430 relations and 16241200 ideals in 6 passes
  128. Thu Sep 08 10:29:07 2022 max relations containing the same ideal: 74
  129. Thu Sep 08 10:29:10 2022 relations with 0 large ideals: 1410
  130. Thu Sep 08 10:29:10 2022 relations with 1 large ideals: 6026
  131. Thu Sep 08 10:29:10 2022 relations with 2 large ideals: 86824
  132. Thu Sep 08 10:29:10 2022 relations with 3 large ideals: 555240
  133. Thu Sep 08 10:29:10 2022 relations with 4 large ideals: 1869205
  134. Thu Sep 08 10:29:10 2022 relations with 5 large ideals: 3681369
  135. Thu Sep 08 10:29:10 2022 relations with 6 large ideals: 4559131
  136. Thu Sep 08 10:29:10 2022 relations with 7+ large ideals: 6011225
  137. Thu Sep 08 10:29:10 2022 commencing 2-way merge
  138. Thu Sep 08 10:29:24 2022 reduce to 11141270 relation sets and 10612040 unique ideals
  139. Thu Sep 08 10:29:24 2022 commencing full merge
  140. Thu Sep 08 10:34:32 2022 memory use: 1364.6 MB
  141. Thu Sep 08 10:34:36 2022 found 4955213 cycles, need 4924240
  142. Thu Sep 08 10:34:36 2022 weight of 4924240 cycles is about 640685753 (130.11/cycle)
  143. Thu Sep 08 10:34:36 2022 distribution of cycle lengths:
  144. Thu Sep 08 10:34:36 2022 1 relations: 147314
  145. Thu Sep 08 10:34:37 2022 2 relations: 249850
  146. Thu Sep 08 10:34:37 2022 3 relations: 318224
  147. Thu Sep 08 10:34:37 2022 4 relations: 352071
  148. Thu Sep 08 10:34:37 2022 5 relations: 382046
  149. Thu Sep 08 10:34:37 2022 6 relations: 387109
  150. Thu Sep 08 10:34:37 2022 7 relations: 382559
  151. Thu Sep 08 10:34:37 2022 8 relations: 366267
  152. Thu Sep 08 10:34:37 2022 9 relations: 341537
  153. Thu Sep 08 10:34:37 2022 10+ relations: 1997263
  154. Thu Sep 08 10:34:37 2022 heaviest cycle: 28 relations
  155. Thu Sep 08 10:34:40 2022 commencing cycle optimization
  156. Thu Sep 08 10:34:52 2022 start with 44504489 relations
  157. Thu Sep 08 10:37:24 2022 pruned 2415707 relations
  158. Thu Sep 08 10:37:24 2022 memory use: 1150.7 MB
  159. Thu Sep 08 10:37:24 2022 distribution of cycle lengths:
  160. Thu Sep 08 10:37:24 2022 1 relations: 147314
  161. Thu Sep 08 10:37:24 2022 2 relations: 257698
  162. Thu Sep 08 10:37:24 2022 3 relations: 334027
  163. Thu Sep 08 10:37:24 2022 4 relations: 371227
  164. Thu Sep 08 10:37:24 2022 5 relations: 405661
  165. Thu Sep 08 10:37:24 2022 6 relations: 411901
  166. Thu Sep 08 10:37:24 2022 7 relations: 408257
  167. Thu Sep 08 10:37:24 2022 8 relations: 389440
  168. Thu Sep 08 10:37:24 2022 9 relations: 360626
  169. Thu Sep 08 10:37:24 2022 10+ relations: 1838089
  170. Thu Sep 08 10:37:24 2022 heaviest cycle: 28 relations
  171. Thu Sep 08 10:37:33 2022 RelProcTime: 4957
  172. Thu Sep 08 10:37:33 2022
  173. Thu Sep 08 10:37:33 2022 commencing linear algebra
  174. Thu Sep 08 10:37:34 2022 read 4924240 cycles
  175. Thu Sep 08 10:37:47 2022 cycles contain 16508103 unique relations
  176. Thu Sep 08 10:40:20 2022 read 16508103 relations
  177. Thu Sep 08 10:40:54 2022 using 20 quadratic characters above 4294917295
  178. Thu Sep 08 10:42:16 2022 building initial matrix
  179. Thu Sep 08 10:47:41 2022 memory use: 2329.3 MB
  180. Thu Sep 08 10:47:48 2022 read 4924240 cycles
  181. Thu Sep 08 10:47:49 2022 matrix is 4924061 x 4924240 (2466.3 MB) with weight 757576622 (153.85/col)
  182. Thu Sep 08 10:47:49 2022 sparse part has weight 587438124 (119.30/col)
  183. Thu Sep 08 10:49:01 2022 filtering completed in 2 passes
  184. Thu Sep 08 10:49:03 2022 matrix is 4923943 x 4924122 (2466.3 MB) with weight 757569203 (153.85/col)
  185. Thu Sep 08 10:49:03 2022 sparse part has weight 587435209 (119.30/col)
  186. Thu Sep 08 10:49:23 2022 matrix starts at (0, 0)
  187. Thu Sep 08 10:49:24 2022 matrix is 4923943 x 4924122 (2466.3 MB) with weight 757569203 (153.85/col)
  188. Thu Sep 08 10:49:24 2022 sparse part has weight 587435209 (119.30/col)
  189. Thu Sep 08 10:49:24 2022 saving the first 48 matrix rows for later
  190. Thu Sep 08 10:49:27 2022 matrix includes 64 packed rows
  191. Thu Sep 08 10:49:28 2022 matrix is 4923895 x 4924122 (2415.8 MB) with weight 650952004 (132.20/col)
  192. Thu Sep 08 10:49:28 2022 sparse part has weight 584048647 (118.61/col)
  193. Thu Sep 08 10:49:28 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  194. Thu Sep 08 10:50:01 2022 commencing Lanczos iteration (6 threads)
  195. Thu Sep 08 10:50:01 2022 memory use: 1998.0 MB
  196. Thu Sep 08 10:50:21 2022 linear algebra at 0.0%, ETA 17h 8m
  197. Thu Sep 08 10:50:28 2022 checkpointing every 280000 dimensions
  198. Fri Sep 09 09:18:17 2022 lanczos halted after 77866 iterations (dim = 4923893)
  199. Fri Sep 09 09:18:23 2022 recovered 29 nontrivial dependencies
  200. Fri Sep 09 09:18:24 2022 BLanczosTime: 81651
  201. Fri Sep 09 09:18:24 2022
  202. Fri Sep 09 09:18:24 2022 commencing square root phase
  203. Fri Sep 09 09:18:24 2022 handling dependencies 1 to 64
  204. Fri Sep 09 09:18:24 2022 reading relations for dependency 1
  205. Fri Sep 09 09:18:25 2022 read 2462380 cycles
  206. Fri Sep 09 09:18:31 2022 cycles contain 8256582 unique relations
  207. Fri Sep 09 09:19:35 2022 read 8256582 relations
  208. Fri Sep 09 09:20:23 2022 multiplying 8256582 relations
  209. Fri Sep 09 09:27:08 2022 multiply complete, coefficients have about 435.62 million bits
  210. Fri Sep 09 09:27:12 2022 initial square root is modulo 65521399
  211. Fri Sep 09 09:35:36 2022 GCD is 1, no factor found
  212. Fri Sep 09 09:35:36 2022 reading relations for dependency 2
  213. Fri Sep 09 09:35:37 2022 read 2461456 cycles
  214. Fri Sep 09 09:35:43 2022 cycles contain 8256476 unique relations
  215. Fri Sep 09 09:36:37 2022 read 8256476 relations
  216. Fri Sep 09 09:37:22 2022 multiplying 8256476 relations
  217. Fri Sep 09 09:44:08 2022 multiply complete, coefficients have about 435.61 million bits
  218. Fri Sep 09 09:44:11 2022 initial square root is modulo 65506531
  219. Fri Sep 09 09:52:37 2022 GCD is N, no factor found
  220. Fri Sep 09 09:52:37 2022 reading relations for dependency 3
  221. Fri Sep 09 09:52:38 2022 read 2463565 cycles
  222. Fri Sep 09 09:52:43 2022 cycles contain 8258178 unique relations
  223. Fri Sep 09 09:53:37 2022 read 8258178 relations
  224. Fri Sep 09 09:54:23 2022 multiplying 8258178 relations
  225. Fri Sep 09 10:01:14 2022 multiply complete, coefficients have about 435.71 million bits
  226. Fri Sep 09 10:01:17 2022 initial square root is modulo 65773439
  227. Fri Sep 09 10:09:36 2022 sqrtTime: 3072
  228. Fri Sep 09 10:09:36 2022 p55 factor: 1839740722401033700417540068375751085542761086256704669
  229. Fri Sep 09 10:09:36 2022 p113 factor: 37223169195598119704454339139486327729543836485915375288944005642702463758420855534496238295602229908929790031581
  230. Fri Sep 09 10:09:36 2022 elapsed time 24:54:42
  231.  
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