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C163_M31_k45

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Aug 9th, 2019
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  1. Thu Aug 8 14:54:24 2019
  2. Thu Aug 8 14:54:25 2019
  3. Thu Aug 8 14:54:25 2019 Msieve v. 1.53 (SVN 988M)
  4. Thu Aug 8 14:54:25 2019 random seeds: 9e675a31 666f5ffa
  5. Thu Aug 8 14:54:25 2019 factoring 1110782903843310970460728643886481869221684861504867124556270597467822596457842381727794471703427568875026637029241911582657832573820369354585707093211572221918571 (163 digits)
  6. Thu Aug 8 14:54:25 2019 searching for 15-digit factors
  7. Thu Aug 8 14:54:26 2019 commencing number field sieve (163-digit input)
  8. Thu Aug 8 14:54:26 2019 R0: -23820349806774912554476844833147
  9. Thu Aug 8 14:54:26 2019 R1: 2869929619132909
  10. Thu Aug 8 14:54:26 2019 A0: -9759826699618459936905445861840686384672
  11. Thu Aug 8 14:54:26 2019 A1: 1871553040657436363510875832987976
  12. Thu Aug 8 14:54:26 2019 A2: 814150991324843784980980230
  13. Thu Aug 8 14:54:26 2019 A3: -74398111607828473123
  14. Thu Aug 8 14:54:26 2019 A4: -10435837382026
  15. Thu Aug 8 14:54:26 2019 A5: 144840
  16. Thu Aug 8 14:54:26 2019 skew 9978321.35, size 7.417e-16, alpha -7.249, combined = 9.384e-13 rroots = 5
  17. Thu Aug 8 14:54:26 2019
  18. Thu Aug 8 14:54:26 2019 commencing relation filtering
  19. Thu Aug 8 14:54:26 2019 setting target matrix density to 130.0
  20. Thu Aug 8 14:54:26 2019 estimated available RAM is 32768.0 MB
  21. Thu Aug 8 14:54:26 2019 commencing duplicate removal, pass 1
  22. Thu Aug 8 15:01:33 2019 error -15 reading relation 71263590
  23. Thu Aug 8 15:05:02 2019 skipped 1 relations with composite factors
  24. Thu Aug 8 15:05:02 2019 found 4876174 hash collisions in 105714308 relations
  25. Thu Aug 8 15:05:24 2019 added 122266 free relations
  26. Thu Aug 8 15:05:24 2019 commencing duplicate removal, pass 2
  27. Thu Aug 8 15:06:02 2019 found 1 duplicates and 105836573 unique relations
  28. Thu Aug 8 15:06:02 2019 memory use: 261.2 MB
  29. Thu Aug 8 15:06:02 2019 reading ideals above 720000
  30. Thu Aug 8 15:06:02 2019 commencing singleton removal, initial pass
  31. Thu Aug 8 15:16:06 2019 memory use: 2756.0 MB
  32. Thu Aug 8 15:16:06 2019 reading all ideals from disk
  33. Thu Aug 8 15:17:40 2019 memory use: 3981.9 MB
  34. Thu Aug 8 15:17:48 2019 keeping 91809310 ideals with weight <= 200, target excess is 558543
  35. Thu Aug 8 15:17:56 2019 commencing in-memory singleton removal
  36. Thu Aug 8 15:18:03 2019 begin with 105836573 relations and 91809310 unique ideals
  37. Thu Aug 8 15:19:08 2019 reduce to 73423659 relations and 56472269 ideals in 12 passes
  38. Thu Aug 8 15:19:08 2019 max relations containing the same ideal: 173
  39. Thu Aug 8 15:19:33 2019 removing 8332305 relations and 6332305 ideals in 2000000 cliques
  40. Thu Aug 8 15:19:36 2019 commencing in-memory singleton removal
  41. Thu Aug 8 15:19:40 2019 begin with 65091354 relations and 56472269 unique ideals
  42. Thu Aug 8 15:20:19 2019 reduce to 64367386 relations and 49391956 ideals in 9 passes
  43. Thu Aug 8 15:20:19 2019 max relations containing the same ideal: 153
  44. Thu Aug 8 15:20:41 2019 removing 6593528 relations and 4593528 ideals in 2000000 cliques
  45. Thu Aug 8 15:20:44 2019 commencing in-memory singleton removal
  46. Thu Aug 8 15:20:47 2019 begin with 57773858 relations and 49391956 unique ideals
  47. Thu Aug 8 15:21:14 2019 reduce to 57268661 relations and 44277999 ideals in 7 passes
  48. Thu Aug 8 15:21:14 2019 max relations containing the same ideal: 141
  49. Thu Aug 8 15:21:34 2019 removing 6131034 relations and 4131034 ideals in 2000000 cliques
  50. Thu Aug 8 15:21:36 2019 commencing in-memory singleton removal
  51. Thu Aug 8 15:21:39 2019 begin with 51137627 relations and 44277999 unique ideals
  52. Thu Aug 8 15:22:02 2019 reduce to 50680689 relations and 39675569 ideals in 7 passes
  53. Thu Aug 8 15:22:02 2019 max relations containing the same ideal: 133
  54. Thu Aug 8 15:22:19 2019 removing 5895440 relations and 3895440 ideals in 2000000 cliques
  55. Thu Aug 8 15:22:21 2019 commencing in-memory singleton removal
  56. Thu Aug 8 15:22:23 2019 begin with 44785249 relations and 39675569 unique ideals
  57. Thu Aug 8 15:22:41 2019 reduce to 44339201 relations and 35318710 ideals in 6 passes
  58. Thu Aug 8 15:22:41 2019 max relations containing the same ideal: 122
  59. Thu Aug 8 15:22:56 2019 removing 5750495 relations and 3750495 ideals in 2000000 cliques
  60. Thu Aug 8 15:22:58 2019 commencing in-memory singleton removal
  61. Thu Aug 8 15:23:00 2019 begin with 38588706 relations and 35318710 unique ideals
  62. Thu Aug 8 15:23:17 2019 reduce to 38130106 relations and 31091983 ideals in 7 passes
  63. Thu Aug 8 15:23:17 2019 max relations containing the same ideal: 113
  64. Thu Aug 8 15:23:30 2019 removing 5651926 relations and 3651926 ideals in 2000000 cliques
  65. Thu Aug 8 15:23:32 2019 commencing in-memory singleton removal
  66. Thu Aug 8 15:23:33 2019 begin with 32478180 relations and 31091983 unique ideals
  67. Thu Aug 8 15:23:48 2019 reduce to 31987701 relations and 26927689 ideals in 7 passes
  68. Thu Aug 8 15:23:48 2019 max relations containing the same ideal: 100
  69. Thu Aug 8 15:23:59 2019 removing 5581933 relations and 3581933 ideals in 2000000 cliques
  70. Thu Aug 8 15:24:00 2019 commencing in-memory singleton removal
  71. Thu Aug 8 15:24:02 2019 begin with 26405768 relations and 26927689 unique ideals
  72. Thu Aug 8 15:24:13 2019 reduce to 25855939 relations and 22767197 ideals in 7 passes
  73. Thu Aug 8 15:24:13 2019 max relations containing the same ideal: 83
  74. Thu Aug 8 15:24:22 2019 removing 5524088 relations and 3524088 ideals in 2000000 cliques
  75. Thu Aug 8 15:24:23 2019 commencing in-memory singleton removal
  76. Thu Aug 8 15:24:24 2019 begin with 20331851 relations and 22767197 unique ideals
  77. Thu Aug 8 15:24:34 2019 reduce to 19656248 relations and 18523600 ideals in 8 passes
  78. Thu Aug 8 15:24:34 2019 max relations containing the same ideal: 73
  79. Thu Aug 8 15:24:41 2019 removing 1738326 relations and 1253588 ideals in 484738 cliques
  80. Thu Aug 8 15:24:42 2019 commencing in-memory singleton removal
  81. Thu Aug 8 15:24:42 2019 begin with 17917922 relations and 18523600 unique ideals
  82. Thu Aug 8 15:24:49 2019 reduce to 17799624 relations and 17148963 ideals in 6 passes
  83. Thu Aug 8 15:24:49 2019 max relations containing the same ideal: 66
  84. Thu Aug 8 15:24:57 2019 relations with 0 large ideals: 1843
  85. Thu Aug 8 15:24:57 2019 relations with 1 large ideals: 12480
  86. Thu Aug 8 15:24:57 2019 relations with 2 large ideals: 161260
  87. Thu Aug 8 15:24:57 2019 relations with 3 large ideals: 898980
  88. Thu Aug 8 15:24:57 2019 relations with 4 large ideals: 2630859
  89. Thu Aug 8 15:24:57 2019 relations with 5 large ideals: 4501131
  90. Thu Aug 8 15:24:57 2019 relations with 6 large ideals: 4782481
  91. Thu Aug 8 15:24:57 2019 relations with 7+ large ideals: 4810590
  92. Thu Aug 8 15:24:57 2019 commencing 2-way merge
  93. Thu Aug 8 15:25:05 2019 reduce to 12136080 relation sets and 11485419 unique ideals
  94. Thu Aug 8 15:25:05 2019 commencing full merge
  95. Thu Aug 8 15:28:42 2019 memory use: 1449.9 MB
  96. Thu Aug 8 15:28:44 2019 found 5344498 cycles, need 5299619
  97. Thu Aug 8 15:28:44 2019 weight of 5299619 cycles is about 689549117 (130.11/cycle)
  98. Thu Aug 8 15:28:44 2019 distribution of cycle lengths:
  99. Thu Aug 8 15:28:44 2019 1 relations: 104809
  100. Thu Aug 8 15:28:44 2019 2 relations: 248201
  101. Thu Aug 8 15:28:44 2019 3 relations: 326745
  102. Thu Aug 8 15:28:44 2019 4 relations: 362326
  103. Thu Aug 8 15:28:44 2019 5 relations: 391066
  104. Thu Aug 8 15:28:44 2019 6 relations: 399299
  105. Thu Aug 8 15:28:44 2019 7 relations: 401901
  106. Thu Aug 8 15:28:44 2019 8 relations: 389405
  107. Thu Aug 8 15:28:44 2019 9 relations: 370656
  108. Thu Aug 8 15:28:44 2019 10+ relations: 2305211
  109. Thu Aug 8 15:28:44 2019 heaviest cycle: 28 relations
  110. Thu Aug 8 15:28:47 2019 commencing cycle optimization
  111. Thu Aug 8 15:28:58 2019 start with 49677608 relations
  112. Thu Aug 8 15:31:00 2019 pruned 2748916 relations
  113. Thu Aug 8 15:31:00 2019 memory use: 1249.1 MB
  114. Thu Aug 8 15:31:00 2019 distribution of cycle lengths:
  115. Thu Aug 8 15:31:00 2019 1 relations: 104809
  116. Thu Aug 8 15:31:00 2019 2 relations: 256170
  117. Thu Aug 8 15:31:00 2019 3 relations: 343805
  118. Thu Aug 8 15:31:00 2019 4 relations: 381758
  119. Thu Aug 8 15:31:00 2019 5 relations: 416493
  120. Thu Aug 8 15:31:00 2019 6 relations: 425620
  121. Thu Aug 8 15:31:00 2019 7 relations: 429511
  122. Thu Aug 8 15:31:00 2019 8 relations: 415340
  123. Thu Aug 8 15:31:00 2019 9 relations: 393482
  124. Thu Aug 8 15:31:00 2019 10+ relations: 2132631
  125. Thu Aug 8 15:31:00 2019 heaviest cycle: 28 relations
  126. Thu Aug 8 15:31:16 2019 RelProcTime: 2210
  127. Thu Aug 8 15:31:16 2019
  128. Thu Aug 8 15:31:16 2019 commencing linear algebra
  129. Thu Aug 8 15:31:17 2019 read 5299619 cycles
  130. Thu Aug 8 15:31:28 2019 cycles contain 17487714 unique relations
  131. Thu Aug 8 15:34:40 2019 read 17487714 relations
  132. Thu Aug 8 15:35:13 2019 using 20 quadratic characters above 4294917295
  133. Thu Aug 8 15:36:15 2019 building initial matrix
  134. Thu Aug 8 15:39:30 2019 memory use: 2496.6 MB
  135. Thu Aug 8 15:40:37 2019 read 5299619 cycles
  136. Thu Aug 8 15:40:38 2019 matrix is 5299442 x 5299619 (2649.6 MB) with weight 811763624 (153.17/col)
  137. Thu Aug 8 15:40:38 2019 sparse part has weight 630984634 (119.06/col)
  138. Thu Aug 8 15:41:33 2019 filtering completed in 2 passes
  139. Thu Aug 8 15:41:34 2019 matrix is 5299358 x 5299535 (2649.6 MB) with weight 811758622 (153.18/col)
  140. Thu Aug 8 15:41:34 2019 sparse part has weight 630982550 (119.06/col)
  141. Thu Aug 8 15:42:48 2019 matrix starts at (0, 0)
  142. Thu Aug 8 15:42:49 2019 matrix is 5299358 x 5299535 (2649.6 MB) with weight 811758622 (153.18/col)
  143. Thu Aug 8 15:42:49 2019 sparse part has weight 630982550 (119.06/col)
  144. Thu Aug 8 15:42:49 2019 saving the first 48 matrix rows for later
  145. Thu Aug 8 15:42:50 2019 matrix includes 64 packed rows
  146. Thu Aug 8 15:42:50 2019 matrix is 5299310 x 5299535 (2584.4 MB) with weight 697285388 (131.57/col)
  147. Thu Aug 8 15:42:50 2019 sparse part has weight 624492868 (117.84/col)
  148. Thu Aug 8 15:42:50 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  149. Thu Aug 8 15:43:18 2019 commencing Lanczos iteration (12 threads)
  150. Thu Aug 8 15:43:18 2019 memory use: 2142.6 MB
  151. Thu Aug 8 15:43:24 2019 linear algebra at 0.0%, ETA 5h50m
  152. Thu Aug 8 15:43:26 2019 checkpointing every 910000 dimensions
  153. Thu Aug 8 15:53:39 2019 lanczos halted after 2426 iterations (dim = 153389)
  154. Thu Aug 8 15:53:40 2019 BLanczosTime: 1344
  155. Thu Aug 8 15:53:40 2019
  156. Thu Aug 8 15:53:40 2019 commencing square root phase
  157. Thu Aug 8 15:53:40 2019 handling dependencies 1 to 64
  158. Thu Aug 8 15:53:40 2019 reading relations for dependency 1
  159. Thu Aug 8 15:53:40 2019 error: read_cycles can't open dependency file
  160. Thu Aug 8 15:54:31 2019
  161. Thu Aug 8 15:54:31 2019
  162. Thu Aug 8 15:54:31 2019 Msieve v. 1.53 (SVN 988M)
  163. Thu Aug 8 15:54:31 2019 random seeds: 2f2be386 f4ee419c
  164. Thu Aug 8 15:54:31 2019 factoring 1110782903843310970460728643886481869221684861504867124556270597467822596457842381727794471703427568875026637029241911582657832573820369354585707093211572221918571 (163 digits)
  165. Thu Aug 8 15:54:31 2019 searching for 15-digit factors
  166. Thu Aug 8 15:54:32 2019 commencing number field sieve (163-digit input)
  167. Thu Aug 8 15:54:32 2019 R0: -23820349806774912554476844833147
  168. Thu Aug 8 15:54:32 2019 R1: 2869929619132909
  169. Thu Aug 8 15:54:32 2019 A0: -9759826699618459936905445861840686384672
  170. Thu Aug 8 15:54:32 2019 A1: 1871553040657436363510875832987976
  171. Thu Aug 8 15:54:32 2019 A2: 814150991324843784980980230
  172. Thu Aug 8 15:54:32 2019 A3: -74398111607828473123
  173. Thu Aug 8 15:54:32 2019 A4: -10435837382026
  174. Thu Aug 8 15:54:32 2019 A5: 144840
  175. Thu Aug 8 15:54:32 2019 skew 9978321.35, size 7.417e-16, alpha -7.249, combined = 9.384e-13 rroots = 5
  176. Thu Aug 8 15:54:32 2019
  177. Thu Aug 8 15:54:32 2019 commencing linear algebra
  178. Thu Aug 8 15:54:34 2019 matrix starts at (0, 0)
  179. Thu Aug 8 15:54:34 2019 matrix is 5299358 x 5299535 (2649.6 MB) with weight 811758622 (153.18/col)
  180. Thu Aug 8 15:54:34 2019 sparse part has weight 630982550 (119.06/col)
  181. Thu Aug 8 15:54:34 2019 saving the first 48 matrix rows for later
  182. Thu Aug 8 15:54:35 2019 matrix includes 64 packed rows
  183. Thu Aug 8 15:54:36 2019 matrix is 5299310 x 5299535 (2584.4 MB) with weight 697285388 (131.57/col)
  184. Thu Aug 8 15:54:36 2019 sparse part has weight 624492868 (117.84/col)
  185. Thu Aug 8 15:54:36 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  186. Thu Aug 8 15:55:03 2019 commencing Lanczos iteration (8 threads)
  187. Thu Aug 8 15:55:03 2019 memory use: 2142.5 MB
  188. Thu Aug 8 15:55:04 2019 restarting at iteration 2426 (dim = 153389)
  189. Thu Aug 8 15:55:07 2019 checkpointing every 760000 dimensions
  190. Thu Aug 8 15:55:12 2019 linear algebra at 2.9%, ETA 7h33m
  191. Thu Aug 8 16:08:37 2019 lanczos halted after 4890 iterations (dim = 309215)
  192. Thu Aug 8 16:08:38 2019 BLanczosTime: 846
  193. Thu Aug 8 16:08:38 2019
  194. Thu Aug 8 16:08:38 2019 commencing square root phase
  195. Thu Aug 8 16:08:38 2019 reading relations for dependency 1
  196. Thu Aug 8 16:08:38 2019 error: read_cycles can't open dependency file
  197. Thu Aug 8 16:15:33 2019
  198. Thu Aug 8 16:15:33 2019
  199. Thu Aug 8 16:15:33 2019 Msieve v. 1.53 (SVN 988M)
  200. Thu Aug 8 16:15:33 2019 random seeds: 25458077 ad6e8542
  201. Thu Aug 8 16:15:33 2019 factoring 1110782903843310970460728643886481869221684861504867124556270597467822596457842381727794471703427568875026637029241911582657832573820369354585707093211572221918571 (163 digits)
  202. Thu Aug 8 16:15:33 2019 searching for 15-digit factors
  203. Thu Aug 8 16:15:34 2019 commencing number field sieve (163-digit input)
  204. Thu Aug 8 16:15:34 2019 R0: -23820349806774912554476844833147
  205. Thu Aug 8 16:15:34 2019 R1: 2869929619132909
  206. Thu Aug 8 16:15:34 2019 A0: -9759826699618459936905445861840686384672
  207. Thu Aug 8 16:15:34 2019 A1: 1871553040657436363510875832987976
  208. Thu Aug 8 16:15:34 2019 A2: 814150991324843784980980230
  209. Thu Aug 8 16:15:34 2019 A3: -74398111607828473123
  210. Thu Aug 8 16:15:34 2019 A4: -10435837382026
  211. Thu Aug 8 16:15:34 2019 A5: 144840
  212. Thu Aug 8 16:15:34 2019 skew 9978321.35, size 7.417e-16, alpha -7.249, combined = 9.384e-13 rroots = 5
  213. Thu Aug 8 16:15:34 2019
  214. Thu Aug 8 16:15:34 2019 commencing linear algebra
  215. Thu Aug 8 16:15:36 2019 matrix starts at (0, 0)
  216. Thu Aug 8 16:15:37 2019 matrix is 5299358 x 5299535 (2649.6 MB) with weight 811758622 (153.18/col)
  217. Thu Aug 8 16:15:37 2019 sparse part has weight 630982550 (119.06/col)
  218. Thu Aug 8 16:15:37 2019 saving the first 48 matrix rows for later
  219. Thu Aug 8 16:15:37 2019 matrix includes 64 packed rows
  220. Thu Aug 8 16:15:38 2019 matrix is 5299310 x 5299535 (2584.4 MB) with weight 697285388 (131.57/col)
  221. Thu Aug 8 16:15:38 2019 sparse part has weight 624492868 (117.84/col)
  222. Thu Aug 8 16:15:38 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  223. Thu Aug 8 16:16:06 2019 commencing Lanczos iteration (12 threads)
  224. Thu Aug 8 16:16:06 2019 memory use: 2142.6 MB
  225. Thu Aug 8 16:16:11 2019 restarting at iteration 4890 (dim = 309215)
  226. Thu Aug 8 16:16:15 2019 checkpointing every 750000 dimensions
  227. Thu Aug 8 16:16:17 2019 linear algebra at 5.9%, ETA 5h29m
  228. Thu Aug 8 21:45:08 2019 lanczos halted after 83804 iterations (dim = 5299310)
  229. Thu Aug 8 21:45:12 2019 recovered 30 nontrivial dependencies
  230. Thu Aug 8 21:45:14 2019 BLanczosTime: 19780
  231. Thu Aug 8 21:45:14 2019
  232. Thu Aug 8 21:45:14 2019 commencing square root phase
  233. Thu Aug 8 21:45:14 2019 reading relations for dependency 1
  234. Thu Aug 8 21:45:19 2019 read 2651727 cycles
  235. Thu Aug 8 21:45:23 2019 cycles contain 8747640 unique relations
  236. Thu Aug 8 21:49:27 2019 read 8747640 relations
  237. Thu Aug 8 21:50:01 2019 multiplying 8747640 relations
  238. Thu Aug 8 21:56:33 2019 multiply complete, coefficients have about 484.31 million bits
  239. Thu Aug 8 21:56:36 2019 initial square root is modulo 489809611
  240. Thu Aug 8 22:04:30 2019 sqrtTime: 1156
  241. Thu Aug 8 22:04:30 2019 p80 factor: 11869863690333346730655564319106600072567054259716125417586147369069572783109671
  242. Thu Aug 8 22:04:30 2019 p83 factor: 93580089276671074699249095449495067438150326798007823492419634541608127390694255901
  243. Thu Aug 8 22:04:30 2019 elapsed time 05:48:57
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