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Mar 4th, 2018
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  1. Fri Mar 2 21:00:30 2018 Msieve v. 1.53 (SVN unknown)
  2. Fri Mar 2 21:00:30 2018 random seeds: 9ca26c61 98de7f1d
  3. Fri Mar 2 21:00:30 2018 factoring 51462425163933049195540927871664633139385054052239468576952467132556136084194569987381708254985505040046060876657376041736618425937180274229273157048643748725812763493404462695806427411985146082798171 (200 digits)
  4. Fri Mar 2 21:00:31 2018 searching for 15-digit factors
  5. Fri Mar 2 21:00:31 2018 commencing number field sieve (200-digit input)
  6. Fri Mar 2 21:00:31 2018 R0: 2137797970720029159470231899841604792137476543030139011
  7. Fri Mar 2 21:00:31 2018 R1: -1
  8. Fri Mar 2 21:00:31 2018 A0: 1
  9. Fri Mar 2 21:00:31 2018 A1: 1
  10. Fri Mar 2 21:00:31 2018 A2: 1
  11. Fri Mar 2 21:00:31 2018 A3: 1
  12. Fri Mar 2 21:00:31 2018 A4: 1
  13. Fri Mar 2 21:00:31 2018 skew 1.00, size 3.793e-22, alpha 1.694, combined = 3.253e-13 rroots = 0
  14. Fri Mar 2 21:00:31 2018
  15. Fri Mar 2 21:00:31 2018 commencing relation filtering
  16. Fri Mar 2 21:00:31 2018 setting target matrix density to 108.0
  17. Fri Mar 2 21:00:31 2018 estimated available RAM is 15997.5 MB
  18. Fri Mar 2 21:00:31 2018 commencing duplicate removal, pass 1
  19. Fri Mar 2 21:21:19 2018 skipped 452 relations with b > 2^32
  20. Fri Mar 2 21:21:19 2018 found 8017211 hash collisions in 191082214 relations
  21. Fri Mar 2 21:21:19 2018 commencing duplicate removal, pass 2
  22. Fri Mar 2 21:22:06 2018 found 1 duplicates and 191082213 unique relations
  23. Fri Mar 2 21:22:06 2018 memory use: 522.4 MB
  24. Fri Mar 2 21:22:06 2018 reading ideals above 119996416
  25. Fri Mar 2 21:22:06 2018 commencing singleton removal, initial pass
  26. Fri Mar 2 21:37:06 2018 memory use: 3012.0 MB
  27. Fri Mar 2 21:37:07 2018 reading all ideals from disk
  28. Fri Mar 2 21:37:15 2018 memory use: 3527.1 MB
  29. Fri Mar 2 21:37:23 2018 commencing in-memory singleton removal
  30. Fri Mar 2 21:37:30 2018 begin with 191082213 relations and 159163714 unique ideals
  31. Fri Mar 2 21:38:35 2018 reduce to 126969856 relations and 88611859 ideals in 12 passes
  32. Fri Mar 2 21:38:35 2018 max relations containing the same ideal: 49
  33. Fri Mar 2 21:38:41 2018 reading ideals above 720000
  34. Fri Mar 2 21:38:42 2018 commencing singleton removal, initial pass
  35. Fri Mar 2 21:51:22 2018 memory use: 2756.0 MB
  36. Fri Mar 2 21:51:22 2018 reading all ideals from disk
  37. Fri Mar 2 21:51:44 2018 memory use: 4904.5 MB
  38. Fri Mar 2 21:51:58 2018 keeping 101680515 ideals with weight <= 200, target excess is 612904
  39. Fri Mar 2 21:52:11 2018 commencing in-memory singleton removal
  40. Fri Mar 2 21:52:22 2018 begin with 126969856 relations and 101680515 unique ideals
  41. Fri Mar 2 21:53:09 2018 reduce to 126968970 relations and 101679629 ideals in 5 passes
  42. Fri Mar 2 21:53:09 2018 max relations containing the same ideal: 200
  43. Fri Mar 2 21:53:57 2018 removing 10602840 relations and 8602840 ideals in 2000000 cliques
  44. Fri Mar 2 21:54:01 2018 commencing in-memory singleton removal
  45. Fri Mar 2 21:54:08 2018 begin with 116366130 relations and 101679629 unique ideals
  46. Fri Mar 2 21:55:25 2018 reduce to 115642919 relations and 92338322 ideals in 10 passes
  47. Fri Mar 2 21:55:25 2018 max relations containing the same ideal: 198
  48. Fri Mar 2 21:56:05 2018 removing 8091270 relations and 6091270 ideals in 2000000 cliques
  49. Fri Mar 2 21:56:08 2018 commencing in-memory singleton removal
  50. Fri Mar 2 21:56:15 2018 begin with 107551649 relations and 92338322 unique ideals
  51. Fri Mar 2 21:57:03 2018 reduce to 107072363 relations and 85759092 ideals in 7 passes
  52. Fri Mar 2 21:57:03 2018 max relations containing the same ideal: 188
  53. Fri Mar 2 21:57:41 2018 removing 7347351 relations and 5347351 ideals in 2000000 cliques
  54. Fri Mar 2 21:57:43 2018 commencing in-memory singleton removal
  55. Fri Mar 2 21:57:50 2018 begin with 99725012 relations and 85759092 unique ideals
  56. Fri Mar 2 21:58:34 2018 reduce to 99303680 relations and 79982791 ideals in 7 passes
  57. Fri Mar 2 21:58:34 2018 max relations containing the same ideal: 181
  58. Fri Mar 2 21:59:09 2018 removing 6975377 relations and 4975377 ideals in 2000000 cliques
  59. Fri Mar 2 21:59:12 2018 commencing in-memory singleton removal
  60. Fri Mar 2 21:59:17 2018 begin with 92328303 relations and 79982791 unique ideals
  61. Fri Mar 2 21:59:58 2018 reduce to 91925400 relations and 74596773 ideals in 7 passes
  62. Fri Mar 2 21:59:58 2018 max relations containing the same ideal: 173
  63. Fri Mar 2 22:00:30 2018 removing 6758247 relations and 4758247 ideals in 2000000 cliques
  64. Fri Mar 2 22:00:33 2018 commencing in-memory singleton removal
  65. Fri Mar 2 22:00:38 2018 begin with 85167153 relations and 74596773 unique ideals
  66. Fri Mar 2 22:01:15 2018 reduce to 84767200 relations and 69430495 ideals in 7 passes
  67. Fri Mar 2 22:01:15 2018 max relations containing the same ideal: 163
  68. Fri Mar 2 22:01:46 2018 removing 6621843 relations and 4621843 ideals in 2000000 cliques
  69. Fri Mar 2 22:01:48 2018 commencing in-memory singleton removal
  70. Fri Mar 2 22:01:53 2018 begin with 78145357 relations and 69430495 unique ideals
  71. Fri Mar 2 22:02:26 2018 reduce to 77733957 relations and 64388494 ideals in 7 passes
  72. Fri Mar 2 22:02:26 2018 max relations containing the same ideal: 153
  73. Fri Mar 2 22:02:54 2018 removing 6541751 relations and 4541751 ideals in 2000000 cliques
  74. Fri Mar 2 22:02:57 2018 commencing in-memory singleton removal
  75. Fri Mar 2 22:03:01 2018 begin with 71192206 relations and 64388494 unique ideals
  76. Fri Mar 2 22:03:31 2018 reduce to 70760664 relations and 59405129 ideals in 7 passes
  77. Fri Mar 2 22:03:31 2018 max relations containing the same ideal: 145
  78. Fri Mar 2 22:03:57 2018 removing 6508837 relations and 4508837 ideals in 2000000 cliques
  79. Fri Mar 2 22:03:59 2018 commencing in-memory singleton removal
  80. Fri Mar 2 22:04:02 2018 begin with 64251827 relations and 59405129 unique ideals
  81. Fri Mar 2 22:04:29 2018 reduce to 63783490 relations and 54416066 ideals in 7 passes
  82. Fri Mar 2 22:04:29 2018 max relations containing the same ideal: 138
  83. Fri Mar 2 22:04:52 2018 removing 6514678 relations and 4514678 ideals in 2000000 cliques
  84. Fri Mar 2 22:04:54 2018 commencing in-memory singleton removal
  85. Fri Mar 2 22:04:58 2018 begin with 57268812 relations and 54416066 unique ideals
  86. Fri Mar 2 22:05:21 2018 reduce to 56748820 relations and 49366919 ideals in 7 passes
  87. Fri Mar 2 22:05:21 2018 max relations containing the same ideal: 126
  88. Fri Mar 2 22:05:42 2018 removing 6555832 relations and 4555832 ideals in 2000000 cliques
  89. Fri Mar 2 22:05:44 2018 commencing in-memory singleton removal
  90. Fri Mar 2 22:05:47 2018 begin with 50192988 relations and 49366919 unique ideals
  91. Fri Mar 2 22:06:10 2018 reduce to 49601171 relations and 44200847 ideals in 8 passes
  92. Fri Mar 2 22:06:10 2018 max relations containing the same ideal: 116
  93. Fri Mar 2 22:06:29 2018 removing 6632614 relations and 4632614 ideals in 2000000 cliques
  94. Fri Mar 2 22:06:31 2018 commencing in-memory singleton removal
  95. Fri Mar 2 22:06:33 2018 begin with 42968557 relations and 44200847 unique ideals
  96. Fri Mar 2 22:06:53 2018 reduce to 42269803 relations and 38844778 ideals in 8 passes
  97. Fri Mar 2 22:06:53 2018 max relations containing the same ideal: 105
  98. Fri Mar 2 22:07:09 2018 removing 6755365 relations and 4755365 ideals in 2000000 cliques
  99. Fri Mar 2 22:07:10 2018 commencing in-memory singleton removal
  100. Fri Mar 2 22:07:12 2018 begin with 35514438 relations and 38844778 unique ideals
  101. Fri Mar 2 22:07:28 2018 reduce to 34649656 relations and 33188599 ideals in 8 passes
  102. Fri Mar 2 22:07:28 2018 max relations containing the same ideal: 91
  103. Fri Mar 2 22:07:41 2018 removing 3238299 relations and 2488211 ideals in 750088 cliques
  104. Fri Mar 2 22:07:42 2018 commencing in-memory singleton removal
  105. Fri Mar 2 22:07:44 2018 begin with 31411357 relations and 33188599 unique ideals
  106. Fri Mar 2 22:07:56 2018 reduce to 31176322 relations and 30460722 ideals in 7 passes
  107. Fri Mar 2 22:07:56 2018 max relations containing the same ideal: 84
  108. Fri Mar 2 22:08:12 2018 relations with 0 large ideals: 48970
  109. Fri Mar 2 22:08:12 2018 relations with 1 large ideals: 9123
  110. Fri Mar 2 22:08:12 2018 relations with 2 large ideals: 110204
  111. Fri Mar 2 22:08:12 2018 relations with 3 large ideals: 752670
  112. Fri Mar 2 22:08:12 2018 relations with 4 large ideals: 2827790
  113. Fri Mar 2 22:08:12 2018 relations with 5 large ideals: 7358769
  114. Fri Mar 2 22:08:12 2018 relations with 6 large ideals: 8261911
  115. Fri Mar 2 22:08:12 2018 relations with 7+ large ideals: 11806885
  116. Fri Mar 2 22:08:12 2018 commencing 2-way merge
  117. Fri Mar 2 22:08:26 2018 reduce to 20087781 relation sets and 19372181 unique ideals
  118. Fri Mar 2 22:08:26 2018 commencing full merge
  119. Fri Mar 2 22:14:36 2018 memory use: 2460.0 MB
  120. Fri Mar 2 22:14:38 2018 found 9059042 cycles, need 9046381
  121. Fri Mar 2 22:14:40 2018 weight of 9046381 cycles is about 977285708 (108.03/cycle)
  122. Fri Mar 2 22:14:40 2018 distribution of cycle lengths:
  123. Fri Mar 2 22:14:40 2018 1 relations: 533303
  124. Fri Mar 2 22:14:40 2018 2 relations: 606817
  125. Fri Mar 2 22:14:40 2018 3 relations: 640152
  126. Fri Mar 2 22:14:40 2018 4 relations: 642519
  127. Fri Mar 2 22:14:40 2018 5 relations: 636483
  128. Fri Mar 2 22:14:40 2018 6 relations: 625660
  129. Fri Mar 2 22:14:40 2018 7 relations: 606308
  130. Fri Mar 2 22:14:40 2018 8 relations: 582036
  131. Fri Mar 2 22:14:40 2018 9 relations: 547244
  132. Fri Mar 2 22:14:40 2018 10+ relations: 3625859
  133. Fri Mar 2 22:14:40 2018 heaviest cycle: 28 relations
  134. Fri Mar 2 22:14:41 2018 commencing cycle optimization
  135. Fri Mar 2 22:14:56 2018 start with 80296173 relations
  136. Fri Mar 2 22:17:33 2018 pruned 3565105 relations
  137. Fri Mar 2 22:17:33 2018 memory use: 2110.7 MB
  138. Fri Mar 2 22:17:33 2018 distribution of cycle lengths:
  139. Fri Mar 2 22:17:33 2018 1 relations: 533303
  140. Fri Mar 2 22:17:33 2018 2 relations: 618701
  141. Fri Mar 2 22:17:33 2018 3 relations: 664867
  142. Fri Mar 2 22:17:33 2018 4 relations: 667567
  143. Fri Mar 2 22:17:33 2018 5 relations: 666682
  144. Fri Mar 2 22:17:33 2018 6 relations: 654154
  145. Fri Mar 2 22:17:33 2018 7 relations: 636740
  146. Fri Mar 2 22:17:33 2018 8 relations: 608373
  147. Fri Mar 2 22:17:33 2018 9 relations: 572014
  148. Fri Mar 2 22:17:33 2018 10+ relations: 3423980
  149. Fri Mar 2 22:17:33 2018 heaviest cycle: 28 relations
  150. Fri Mar 2 22:17:46 2018 RelProcTime: 4635
  151. Fri Mar 2 22:17:46 2018
  152. Fri Mar 2 22:17:46 2018 commencing linear algebra
  153. Fri Mar 2 22:17:50 2018 read 9046381 cycles
  154. Fri Mar 2 22:18:07 2018 cycles contain 30711792 unique relations
  155. Fri Mar 2 22:20:28 2018 read 30711792 relations
  156. Fri Mar 2 22:21:16 2018 using 20 quadratic characters above 4294917295
  157. Fri Mar 2 22:23:02 2018 building initial matrix
  158. Fri Mar 2 22:27:16 2018 memory use: 3737.8 MB
  159. Fri Mar 2 22:27:19 2018 read 9046381 cycles
  160. Fri Mar 2 22:27:20 2018 matrix is 9046204 x 9046381 (3887.5 MB) with weight 1115738344 (123.34/col)
  161. Fri Mar 2 22:27:20 2018 sparse part has weight 919578787 (101.65/col)
  162. Fri Mar 2 22:28:52 2018 filtering completed in 2 passes
  163. Fri Mar 2 22:28:54 2018 matrix is 9046041 x 9046218 (3887.5 MB) with weight 1115733443 (123.34/col)
  164. Fri Mar 2 22:28:54 2018 sparse part has weight 919577355 (101.65/col)
  165. Fri Mar 2 22:29:16 2018 matrix starts at (0, 0)
  166. Fri Mar 2 22:29:17 2018 matrix is 9046041 x 9046218 (3887.5 MB) with weight 1115733443 (123.34/col)
  167. Fri Mar 2 22:29:17 2018 sparse part has weight 919577355 (101.65/col)
  168. Fri Mar 2 22:29:17 2018 saving the first 48 matrix rows for later
  169. Fri Mar 2 22:29:18 2018 matrix includes 64 packed rows
  170. Fri Mar 2 22:29:19 2018 matrix is 9045993 x 9046218 (3721.9 MB) with weight 950546508 (105.08/col)
  171. Fri Mar 2 22:29:19 2018 sparse part has weight 885223240 (97.86/col)
  172. Fri Mar 2 22:29:19 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  173. Fri Mar 2 22:29:50 2018 commencing Lanczos iteration (4 threads)
  174. Fri Mar 2 22:29:50 2018 memory use: 3156.6 MB
  175. Fri Mar 2 22:30:39 2018 linear algebra at 0.0%, ETA 78h 2m
  176. Fri Mar 2 22:30:55 2018 checkpointing every 120000 dimensions
  177. Sun Mar 4 22:07:38 2018 lanczos halted after 143055 iterations (dim = 9045991)
  178. Sun Mar 4 22:07:54 2018 recovered 36 nontrivial dependencies
  179. Sun Mar 4 22:07:54 2018 BLanczosTime: 172208
  180. Sun Mar 4 22:07:54 2018
  181. Sun Mar 4 22:07:54 2018 commencing square root phase
  182. Sun Mar 4 22:07:54 2018 handling dependencies 1 to 64
  183. Sun Mar 4 22:07:54 2018 reading relations for dependency 1
  184. Sun Mar 4 22:07:54 2018 read 4523166 cycles
  185. Sun Mar 4 22:08:01 2018 cycles contain 15354452 unique relations
  186. Sun Mar 4 22:09:17 2018 read 15354452 relations
  187. Sun Mar 4 22:10:02 2018 multiplying 15354452 relations
  188. Sun Mar 4 22:14:13 2018 multiply complete, coefficients have about 388.83 million bits
  189. Sun Mar 4 22:14:14 2018 initial square root is modulo 9481697
  190. Sun Mar 4 22:19:35 2018 sqrtTime: 701
  191. Sun Mar 4 22:19:35 2018 p76 factor: 5144702897812972712336871119687690264181833151461035003982738237800125804101
  192. Sun Mar 4 22:19:35 2018 p125 factor: 10002992628750217438777813082098556508545793550535653201516360855790925531429764972498794957641052589341428122053936322007071
  193. Sun Mar 4 22:19:35 2018 elapsed time 49:19:05
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