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44417_47m1

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Jan 13th, 2019
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  1. Fri Jan 11 11:20:49 2019
  2. Fri Jan 11 11:20:49 2019
  3. Fri Jan 11 11:20:49 2019 Msieve v. 1.53 (SVN 988M)
  4. Fri Jan 11 11:20:49 2019 random seeds: e8b6a7ec 7cd45c28
  5. Fri Jan 11 11:20:49 2019 factoring 6127368499302333566542960913699244704135400419071799762455487476444627184333737485894300248614976586511501348870590727550339528695065809797759587028976400496039899578394419927940476905239060426111866122760490869167 (214 digits)
  6. Fri Jan 11 11:20:51 2019 searching for 15-digit factors
  7. Fri Jan 11 11:20:53 2019 commencing number field sieve (214-digit input)
  8. Fri Jan 11 11:20:53 2019 R0: 15149342268498533690369019236867927041
  9. Fri Jan 11 11:20:53 2019 R1: -1
  10. Fri Jan 11 11:20:53 2019 A0: -44417
  11. Fri Jan 11 11:20:53 2019 A1: 0
  12. Fri Jan 11 11:20:53 2019 A2: 0
  13. Fri Jan 11 11:20:53 2019 A3: 0
  14. Fri Jan 11 11:20:53 2019 A4: 0
  15. Fri Jan 11 11:20:53 2019 A5: 0
  16. Fri Jan 11 11:20:53 2019 A6: 1
  17. Fri Jan 11 11:20:53 2019 skew 5.95, size 2.411e-11, alpha 0.680, combined = 1.225e-12 rroots = 2
  18. Fri Jan 11 11:20:53 2019
  19. Fri Jan 11 11:20:53 2019 commencing relation filtering
  20. Fri Jan 11 11:20:53 2019 setting target matrix density to 124.0
  21. Fri Jan 11 11:20:53 2019 estimated available RAM is 65536.0 MB
  22. Fri Jan 11 11:20:53 2019 commencing duplicate removal, pass 1
  23. Fri Jan 11 11:21:41 2019 error -15 reading relation 4877995
  24. [354 more error lines]
  25. Fri Jan 11 11:41:57 2019 error -1 reading relation 129459090
  26. Fri Jan 11 11:42:19 2019 skipped 242 relations with composite factors
  27. Fri Jan 11 11:42:19 2019 found 21736676 hash collisions in 130868629 relations
  28. Fri Jan 11 11:42:33 2019 commencing duplicate removal, pass 2
  29. Fri Jan 11 11:44:55 2019 found 21539519 duplicates and 109329110 unique relations
  30. Fri Jan 11 11:44:55 2019 memory use: 788.8 MB
  31. Fri Jan 11 11:44:55 2019 reading ideals above 720000
  32. Fri Jan 11 11:44:56 2019 commencing singleton removal, initial pass
  33. Fri Jan 11 12:03:01 2019 memory use: 2756.0 MB
  34. Fri Jan 11 12:03:01 2019 reading all ideals from disk
  35. Fri Jan 11 12:03:04 2019 memory use: 4082.2 MB
  36. Fri Jan 11 12:03:16 2019 keeping 92135882 ideals with weight <= 200, target excess is 568335
  37. Fri Jan 11 12:03:30 2019 commencing in-memory singleton removal
  38. Fri Jan 11 12:03:40 2019 begin with 109329110 relations and 92135882 unique ideals
  39. Fri Jan 11 12:05:28 2019 reduce to 77432952 relations and 57443393 ideals in 12 passes
  40. Fri Jan 11 12:05:28 2019 max relations containing the same ideal: 169
  41. Fri Jan 11 12:06:04 2019 removing 7986217 relations and 5986217 ideals in 2000000 cliques
  42. Fri Jan 11 12:06:07 2019 commencing in-memory singleton removal
  43. Fri Jan 11 12:06:13 2019 begin with 69446735 relations and 57443393 unique ideals
  44. Fri Jan 11 12:07:06 2019 reduce to 68783675 relations and 50773171 ideals in 7 passes
  45. Fri Jan 11 12:07:06 2019 max relations containing the same ideal: 161
  46. Fri Jan 11 12:07:37 2019 removing 6409786 relations and 4409786 ideals in 2000000 cliques
  47. Fri Jan 11 12:07:41 2019 commencing in-memory singleton removal
  48. Fri Jan 11 12:07:46 2019 begin with 62373889 relations and 50773171 unique ideals
  49. Fri Jan 11 12:08:26 2019 reduce to 61917341 relations and 45893768 ideals in 6 passes
  50. Fri Jan 11 12:08:26 2019 max relations containing the same ideal: 149
  51. Fri Jan 11 12:08:55 2019 removing 5960084 relations and 3960084 ideals in 2000000 cliques
  52. Fri Jan 11 12:08:58 2019 commencing in-memory singleton removal
  53. Fri Jan 11 12:09:03 2019 begin with 55957257 relations and 45893768 unique ideals
  54. Fri Jan 11 12:09:44 2019 reduce to 55552430 relations and 41516609 ideals in 7 passes
  55. Fri Jan 11 12:09:44 2019 max relations containing the same ideal: 139
  56. Fri Jan 11 12:10:10 2019 removing 5727948 relations and 3727948 ideals in 2000000 cliques
  57. Fri Jan 11 12:10:13 2019 commencing in-memory singleton removal
  58. Fri Jan 11 12:10:17 2019 begin with 49824482 relations and 41516609 unique ideals
  59. Fri Jan 11 12:10:54 2019 reduce to 49438763 relations and 37390488 ideals in 7 passes
  60. Fri Jan 11 12:10:54 2019 max relations containing the same ideal: 130
  61. Fri Jan 11 12:11:17 2019 removing 5576899 relations and 3576899 ideals in 2000000 cliques
  62. Fri Jan 11 12:11:19 2019 commencing in-memory singleton removal
  63. Fri Jan 11 12:11:23 2019 begin with 43861864 relations and 37390488 unique ideals
  64. Fri Jan 11 12:11:55 2019 reduce to 43476569 relations and 33414788 ideals in 7 passes
  65. Fri Jan 11 12:11:55 2019 max relations containing the same ideal: 117
  66. Fri Jan 11 12:12:15 2019 removing 5467309 relations and 3467309 ideals in 2000000 cliques
  67. Fri Jan 11 12:12:18 2019 commencing in-memory singleton removal
  68. Fri Jan 11 12:12:20 2019 begin with 38009260 relations and 33414788 unique ideals
  69. Fri Jan 11 12:12:43 2019 reduce to 37616925 relations and 29539862 ideals in 6 passes
  70. Fri Jan 11 12:12:43 2019 max relations containing the same ideal: 105
  71. Fri Jan 11 12:13:01 2019 removing 5381396 relations and 3381396 ideals in 2000000 cliques
  72. Fri Jan 11 12:13:03 2019 commencing in-memory singleton removal
  73. Fri Jan 11 12:13:06 2019 begin with 32235529 relations and 29539862 unique ideals
  74. Fri Jan 11 12:13:25 2019 reduce to 31821927 relations and 25726455 ideals in 6 passes
  75. Fri Jan 11 12:13:25 2019 max relations containing the same ideal: 98
  76. Fri Jan 11 12:13:40 2019 removing 5302208 relations and 3302208 ideals in 2000000 cliques
  77. Fri Jan 11 12:13:42 2019 commencing in-memory singleton removal
  78. Fri Jan 11 12:13:44 2019 begin with 26519719 relations and 25726455 unique ideals
  79. Fri Jan 11 12:13:59 2019 reduce to 26068803 relations and 21950294 ideals in 6 passes
  80. Fri Jan 11 12:13:59 2019 max relations containing the same ideal: 83
  81. Fri Jan 11 12:14:11 2019 removing 5221995 relations and 3221995 ideals in 2000000 cliques
  82. Fri Jan 11 12:14:13 2019 commencing in-memory singleton removal
  83. Fri Jan 11 12:14:15 2019 begin with 20846808 relations and 21950294 unique ideals
  84. Fri Jan 11 12:14:28 2019 reduce to 20329911 relations and 18179255 ideals in 7 passes
  85. Fri Jan 11 12:14:28 2019 max relations containing the same ideal: 71
  86. Fri Jan 11 12:14:38 2019 removing 3999460 relations and 2508073 ideals in 1491387 cliques
  87. Fri Jan 11 12:14:40 2019 commencing in-memory singleton removal
  88. Fri Jan 11 12:14:41 2019 begin with 16330451 relations and 18179255 unique ideals
  89. Fri Jan 11 12:14:51 2019 reduce to 15873501 relations and 15185586 ideals in 7 passes
  90. Fri Jan 11 12:14:51 2019 max relations containing the same ideal: 61
  91. Fri Jan 11 12:14:58 2019 removing 149508 relations and 120862 ideals in 28646 cliques
  92. Fri Jan 11 12:14:59 2019 commencing in-memory singleton removal
  93. Fri Jan 11 12:15:00 2019 begin with 15723993 relations and 15185586 unique ideals
  94. Fri Jan 11 12:15:07 2019 reduce to 15722692 relations and 15063419 ideals in 5 passes
  95. Fri Jan 11 12:15:07 2019 max relations containing the same ideal: 60
  96. Fri Jan 11 12:15:10 2019 relations with 0 large ideals: 20501
  97. Fri Jan 11 12:15:10 2019 relations with 1 large ideals: 16942
  98. Fri Jan 11 12:15:10 2019 relations with 2 large ideals: 177110
  99. Fri Jan 11 12:15:10 2019 relations with 3 large ideals: 924848
  100. Fri Jan 11 12:15:10 2019 relations with 4 large ideals: 2542133
  101. Fri Jan 11 12:15:10 2019 relations with 5 large ideals: 4063283
  102. Fri Jan 11 12:15:10 2019 relations with 6 large ideals: 4003429
  103. Fri Jan 11 12:15:10 2019 relations with 7+ large ideals: 3974446
  104. Fri Jan 11 12:15:10 2019 commencing 2-way merge
  105. Fri Jan 11 12:15:20 2019 reduce to 11137983 relation sets and 10478710 unique ideals
  106. Fri Jan 11 12:15:20 2019 commencing full merge
  107. Fri Jan 11 12:19:46 2019 memory use: 1334.1 MB
  108. Fri Jan 11 12:19:48 2019 found 4930859 cycles, need 4892910
  109. Fri Jan 11 12:19:49 2019 weight of 4892910 cycles is about 607180909 (124.09/cycle)
  110. Fri Jan 11 12:19:49 2019 distribution of cycle lengths:
  111. Fri Jan 11 12:19:49 2019 1 relations: 102733
  112. Fri Jan 11 12:19:49 2019 2 relations: 227171
  113. Fri Jan 11 12:19:49 2019 3 relations: 310579
  114. Fri Jan 11 12:19:49 2019 4 relations: 348165
  115. Fri Jan 11 12:19:49 2019 5 relations: 379093
  116. Fri Jan 11 12:19:49 2019 6 relations: 388001
  117. Fri Jan 11 12:19:49 2019 7 relations: 385100
  118. Fri Jan 11 12:19:49 2019 8 relations: 370453
  119. Fri Jan 11 12:19:49 2019 9 relations: 345158
  120. Fri Jan 11 12:19:49 2019 10+ relations: 2036457
  121. Fri Jan 11 12:19:49 2019 heaviest cycle: 28 relations
  122. Fri Jan 11 12:19:51 2019 commencing cycle optimization
  123. Fri Jan 11 12:20:05 2019 start with 45101688 relations
  124. Fri Jan 11 12:22:26 2019 pruned 2591693 relations
  125. Fri Jan 11 12:22:26 2019 memory use: 1117.5 MB
  126. Fri Jan 11 12:22:26 2019 distribution of cycle lengths:
  127. Fri Jan 11 12:22:26 2019 1 relations: 102733
  128. Fri Jan 11 12:22:26 2019 2 relations: 234220
  129. Fri Jan 11 12:22:26 2019 3 relations: 326584
  130. Fri Jan 11 12:22:26 2019 4 relations: 367268
  131. Fri Jan 11 12:22:26 2019 5 relations: 405258
  132. Fri Jan 11 12:22:26 2019 6 relations: 414394
  133. Fri Jan 11 12:22:26 2019 7 relations: 413561
  134. Fri Jan 11 12:22:26 2019 8 relations: 394710
  135. Fri Jan 11 12:22:26 2019 9 relations: 366289
  136. Fri Jan 11 12:22:26 2019 10+ relations: 1867893
  137. Fri Jan 11 12:22:26 2019 heaviest cycle: 28 relations
  138. Fri Jan 11 12:22:38 2019 RelProcTime: 3705
  139. Fri Jan 11 12:22:38 2019
  140. Fri Jan 11 12:22:38 2019 commencing linear algebra
  141. Fri Jan 11 12:22:40 2019 read 4892910 cycles
  142. Fri Jan 11 12:22:52 2019 cycles contain 15433994 unique relations
  143. Fri Jan 11 12:26:13 2019 read 15433994 relations
  144. Fri Jan 11 12:26:46 2019 using 20 quadratic characters above 4294917295
  145. Fri Jan 11 12:27:54 2019 building initial matrix
  146. Fri Jan 11 12:31:49 2019 memory use: 1943.4 MB
  147. Fri Jan 11 12:31:56 2019 read 4892910 cycles
  148. Fri Jan 11 12:31:56 2019 matrix is 4892733 x 4892910 (2326.9 MB) with weight 666484455 (136.21/col)
  149. Fri Jan 11 12:31:56 2019 sparse part has weight 556150874 (113.66/col)
  150. Fri Jan 11 12:33:12 2019 filtering completed in 2 passes
  151. Fri Jan 11 12:33:13 2019 matrix is 4892605 x 4892782 (2326.8 MB) with weight 666479111 (136.22/col)
  152. Fri Jan 11 12:33:13 2019 sparse part has weight 556148478 (113.67/col)
  153. Fri Jan 11 12:33:37 2019 matrix starts at (0, 0)
  154. Fri Jan 11 12:33:37 2019 matrix is 4892605 x 4892782 (2326.8 MB) with weight 666479111 (136.22/col)
  155. Fri Jan 11 12:33:37 2019 sparse part has weight 556148478 (113.67/col)
  156. Fri Jan 11 12:33:37 2019 saving the first 48 matrix rows for later
  157. Fri Jan 11 12:33:39 2019 matrix includes 64 packed rows
  158. Fri Jan 11 12:33:39 2019 matrix is 4892557 x 4892782 (2226.0 MB) with weight 575730088 (117.67/col)
  159. Fri Jan 11 12:33:39 2019 sparse part has weight 534613525 (109.27/col)
  160. Fri Jan 11 12:33:39 2019 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  161. Fri Jan 11 12:34:17 2019 commencing Lanczos iteration (6 threads)
  162. Fri Jan 11 12:34:17 2019 memory use: 1858.9 MB
  163. Fri Jan 11 12:34:37 2019 linear algebra at 0.0%, ETA 17h 2m
  164. Fri Jan 11 12:34:44 2019 checkpointing every 290000 dimensions
  165. Fri Jan 11 13:30:24 2019 lanczos halted after 4194 iterations (dim = 265261)
  166. Fri Jan 11 13:30:25 2019 BLanczosTime: 4067
  167. Fri Jan 11 13:30:25 2019
  168. Fri Jan 11 13:30:25 2019 commencing square root phase
  169. Fri Jan 11 13:30:25 2019 handling dependencies 1 to 64
  170. Fri Jan 11 13:30:25 2019 reading relations for dependency 1
  171. Fri Jan 11 13:30:25 2019 error: read_cycles can't open dependency file
  172. Fri Jan 11 23:44:22 2019
  173. Fri Jan 11 23:44:22 2019
  174. Fri Jan 11 23:44:22 2019 Msieve v. 1.53 (SVN 988M)
  175. Fri Jan 11 23:44:22 2019 random seeds: 0d72214b 9bfc3ae3
  176. Fri Jan 11 23:44:22 2019 factoring 6127368499302333566542960913699244704135400419071799762455487476444627184333737485894300248614976586511501348870590727550339528695065809797759587028976400496039899578394419927940476905239060426111866122760490869167 (214 digits)
  177. Fri Jan 11 23:44:23 2019 searching for 15-digit factors
  178. Fri Jan 11 23:44:24 2019 commencing number field sieve (214-digit input)
  179. Fri Jan 11 23:44:24 2019 R0: 15149342268498533690369019236867927041
  180. Fri Jan 11 23:44:24 2019 R1: -1
  181. Fri Jan 11 23:44:24 2019 A0: -44417
  182. Fri Jan 11 23:44:24 2019 A1: 0
  183. Fri Jan 11 23:44:24 2019 A2: 0
  184. Fri Jan 11 23:44:24 2019 A3: 0
  185. Fri Jan 11 23:44:24 2019 A4: 0
  186. Fri Jan 11 23:44:24 2019 A5: 0
  187. Fri Jan 11 23:44:24 2019 A6: 1
  188. Fri Jan 11 23:44:24 2019 skew 5.95, size 2.411e-11, alpha 0.680, combined = 1.225e-12 rroots = 2
  189. Fri Jan 11 23:44:24 2019
  190. Fri Jan 11 23:44:24 2019 commencing linear algebra
  191. Fri Jan 11 23:44:26 2019 matrix starts at (0, 0)
  192. Fri Jan 11 23:44:27 2019 matrix is 4892605 x 4892782 (2326.8 MB) with weight 666479111 (136.22/col)
  193. Fri Jan 11 23:44:27 2019 sparse part has weight 556148478 (113.67/col)
  194. Fri Jan 11 23:44:27 2019 saving the first 48 matrix rows for later
  195. Fri Jan 11 23:44:27 2019 matrix includes 64 packed rows
  196. Fri Jan 11 23:44:28 2019 matrix is 4892557 x 4892782 (2226.0 MB) with weight 575730088 (117.67/col)
  197. Fri Jan 11 23:44:28 2019 sparse part has weight 534613525 (109.27/col)
  198. Fri Jan 11 23:44:28 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  199. Fri Jan 11 23:44:51 2019 commencing Lanczos iteration (8 threads)
  200. Fri Jan 11 23:44:51 2019 memory use: 1859.0 MB
  201. Fri Jan 11 23:44:51 2019 restarting at iteration 4194 (dim = 265261)
  202. Fri Jan 11 23:44:55 2019 checkpointing every 690000 dimensions
  203. Fri Jan 11 23:44:59 2019 linear algebra at 5.5%, ETA 6h46m
  204. Sat Jan 12 06:10:23 2019 lanczos halted after 77370 iterations (dim = 4892555)
  205. Sat Jan 12 06:10:26 2019 recovered 33 nontrivial dependencies
  206. Sat Jan 12 06:10:27 2019 BLanczosTime: 23163
  207. Sat Jan 12 06:10:27 2019
  208. Sat Jan 12 06:10:27 2019 commencing square root phase
  209. Sat Jan 12 06:10:27 2019 reading relations for dependency 1
  210. Sat Jan 12 06:10:28 2019 read 2444285 cycles
  211. Sat Jan 12 06:10:33 2019 cycles contain 7712840 unique relations
  212. Sat Jan 12 06:12:10 2019 read 7712840 relations
  213. Sat Jan 12 06:12:39 2019 multiplying 7712840 relations
  214. Sat Jan 12 06:16:04 2019 multiply complete, coefficients have about 198.20 million bits
  215. Sat Jan 12 06:16:05 2019 initial square root is modulo 12967609
  216. Sat Jan 12 06:19:32 2019 sqrtTime: 545
  217. Sat Jan 12 06:19:32 2019 p76 factor: 2123159507170507827415656159849822249829601872966960169817619869141632988971
  218. Sat Jan 12 06:19:32 2019 p139 factor: 2885967106384840065264222281315238895738853980909936726174122167742861062714514238107420736728206008278577086933853039641125758353866030477
  219. Sat Jan 12 06:19:32 2019 elapsed time 06:35:10
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