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9199_59_minus1

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Feb 10th, 2016
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  1. Fri Feb 5 11:24:42 2016
  2. Fri Feb 5 11:24:42 2016
  3. Fri Feb 5 11:24:42 2016 Msieve v. 1.53 (SVN 991)
  4. Fri Feb 5 11:24:42 2016 random seeds: b1bd9001 16d953eb
  5. Fri Feb 5 11:24:42 2016 factoring 2107447327482069427810906752820433271354202337345705513223190827326030525818165135215116973011717647897187188448077713229400623538290327655782865059352587601584831948809550678599412571867 (187 digits)
  6. Fri Feb 5 11:24:43 2016 no P-1/P+1/ECM available, skipping
  7. Fri Feb 5 11:24:43 2016 commencing number field sieve (187-digit input)
  8. Fri Feb 5 11:24:43 2016 R0: -4339165237419096331166356187137248708001
  9. Fri Feb 5 11:24:43 2016 R1: 1
  10. Fri Feb 5 11:24:43 2016 A0: -9199
  11. Fri Feb 5 11:24:43 2016 A1: 0
  12. Fri Feb 5 11:24:43 2016 A2: 0
  13. Fri Feb 5 11:24:43 2016 A3: 0
  14. Fri Feb 5 11:24:43 2016 A4: 0
  15. Fri Feb 5 11:24:43 2016 A5: 0
  16. Fri Feb 5 11:24:43 2016 A6: 1
  17. Fri Feb 5 11:24:43 2016 skew 1.00, size 1.175e-11, alpha -1.806, combined = 6.016e-13 rroots = 2
  18. Fri Feb 5 11:24:43 2016
  19. Fri Feb 5 11:24:43 2016 commencing relation filtering
  20. Fri Feb 5 11:24:43 2016 setting target matrix density to 120.0
  21. Fri Feb 5 11:24:43 2016 estimated available RAM is 16010.6 MB
  22. Fri Feb 5 11:24:43 2016 commencing duplicate removal, pass 1
  23. Fri Feb 5 11:37:30 2016 error -11 reading relation 76242035
  24. Fri Feb 5 11:54:13 2016 skipped 3 relations with b > 2^32
  25. Fri Feb 5 11:54:13 2016 skipped 3 relations with composite factors
  26. Fri Feb 5 11:54:13 2016 found 7036610 hash collisions in 178705859 relations
  27. Fri Feb 5 11:54:28 2016 commencing duplicate removal, pass 2
  28. Fri Feb 5 11:55:24 2016 found 0 duplicates and 178705859 unique relations
  29. Fri Feb 5 11:55:24 2016 memory use: 522.4 MB
  30. Fri Feb 5 11:55:24 2016 reading ideals above 86966272
  31. Fri Feb 5 11:55:24 2016 commencing singleton removal, initial pass
  32. Fri Feb 5 12:16:36 2016 memory use: 3012.0 MB
  33. Fri Feb 5 12:16:36 2016 reading all ideals from disk
  34. Fri Feb 5 12:16:41 2016 memory use: 3273.3 MB
  35. Fri Feb 5 12:16:51 2016 commencing in-memory singleton removal
  36. Fri Feb 5 12:17:01 2016 begin with 178705859 relations and 158576327 unique ideals
  37. Fri Feb 5 12:18:46 2016 reduce to 104785566 relations and 75800954 ideals in 15 passes
  38. Fri Feb 5 12:18:46 2016 max relations containing the same ideal: 50
  39. Fri Feb 5 12:18:56 2016 reading ideals above 720000
  40. Fri Feb 5 12:18:56 2016 commencing singleton removal, initial pass
  41. Fri Feb 5 12:34:26 2016 memory use: 2756.0 MB
  42. Fri Feb 5 12:34:26 2016 reading all ideals from disk
  43. Fri Feb 5 12:34:32 2016 memory use: 4000.9 MB
  44. Fri Feb 5 12:34:49 2016 keeping 85380788 ideals with weight <= 200, target excess is 521036
  45. Fri Feb 5 12:35:05 2016 commencing in-memory singleton removal
  46. Fri Feb 5 12:35:16 2016 begin with 104785566 relations and 85380788 unique ideals
  47. Fri Feb 5 12:36:08 2016 reduce to 104785490 relations and 85380712 ideals in 5 passes
  48. Fri Feb 5 12:36:08 2016 max relations containing the same ideal: 200
  49. Fri Feb 5 12:37:04 2016 removing 11236567 relations and 9236567 ideals in 2000000 cliques
  50. Fri Feb 5 12:37:08 2016 commencing in-memory singleton removal
  51. Fri Feb 5 12:37:22 2016 begin with 93548923 relations and 85380712 unique ideals
  52. Fri Feb 5 12:39:10 2016 reduce to 92660885 relations and 75234906 ideals in 9 passes
  53. Fri Feb 5 12:39:10 2016 max relations containing the same ideal: 195
  54. Fri Feb 5 12:40:15 2016 removing 8489941 relations and 6489941 ideals in 2000000 cliques
  55. Fri Feb 5 12:40:19 2016 commencing in-memory singleton removal
  56. Fri Feb 5 12:40:29 2016 begin with 84170944 relations and 75234906 unique ideals
  57. Fri Feb 5 12:41:35 2016 reduce to 83575493 relations and 68136538 ideals in 8 passes
  58. Fri Feb 5 12:41:35 2016 max relations containing the same ideal: 183
  59. Fri Feb 5 12:42:20 2016 removing 7683067 relations and 5683067 ideals in 2000000 cliques
  60. Fri Feb 5 12:42:23 2016 commencing in-memory singleton removal
  61. Fri Feb 5 12:42:31 2016 begin with 75892426 relations and 68136538 unique ideals
  62. Fri Feb 5 12:43:23 2016 reduce to 75354265 relations and 61903364 ideals in 7 passes
  63. Fri Feb 5 12:43:23 2016 max relations containing the same ideal: 170
  64. Fri Feb 5 12:44:04 2016 removing 7281215 relations and 5281215 ideals in 2000000 cliques
  65. Fri Feb 5 12:44:07 2016 commencing in-memory singleton removal
  66. Fri Feb 5 12:44:15 2016 begin with 68073050 relations and 61903364 unique ideals
  67. Fri Feb 5 12:45:09 2016 reduce to 67551242 relations and 56087921 ideals in 8 passes
  68. Fri Feb 5 12:45:09 2016 max relations containing the same ideal: 159
  69. Fri Feb 5 12:45:47 2016 removing 7039112 relations and 5039112 ideals in 2000000 cliques
  70. Fri Feb 5 12:45:50 2016 commencing in-memory singleton removal
  71. Fri Feb 5 12:45:58 2016 begin with 60512130 relations and 56087921 unique ideals
  72. Fri Feb 5 12:46:48 2016 reduce to 59977570 relations and 50500192 ideals in 7 passes
  73. Fri Feb 5 12:46:48 2016 max relations containing the same ideal: 146
  74. Fri Feb 5 12:47:30 2016 removing 6885198 relations and 4885198 ideals in 2000000 cliques
  75. Fri Feb 5 12:47:33 2016 commencing in-memory singleton removal
  76. Fri Feb 5 12:47:40 2016 begin with 53092372 relations and 50500192 unique ideals
  77. Fri Feb 5 12:48:28 2016 reduce to 52528499 relations and 45034603 ideals in 8 passes
  78. Fri Feb 5 12:48:28 2016 max relations containing the same ideal: 132
  79. Fri Feb 5 12:49:04 2016 removing 6791949 relations and 4791949 ideals in 2000000 cliques
  80. Fri Feb 5 12:49:07 2016 commencing in-memory singleton removal
  81. Fri Feb 5 12:49:13 2016 begin with 45736550 relations and 45034603 unique ideals
  82. Fri Feb 5 12:49:53 2016 reduce to 45119561 relations and 39605170 ideals in 8 passes
  83. Fri Feb 5 12:49:53 2016 max relations containing the same ideal: 118
  84. Fri Feb 5 12:50:25 2016 removing 6746022 relations and 4746022 ideals in 2000000 cliques
  85. Fri Feb 5 12:50:27 2016 commencing in-memory singleton removal
  86. Fri Feb 5 12:50:32 2016 begin with 38373539 relations and 39605170 unique ideals
  87. Fri Feb 5 12:51:10 2016 reduce to 37669096 relations and 34127771 ideals in 9 passes
  88. Fri Feb 5 12:51:10 2016 max relations containing the same ideal: 104
  89. Fri Feb 5 12:51:36 2016 removing 6735370 relations and 4735370 ideals in 2000000 cliques
  90. Fri Feb 5 12:51:39 2016 commencing in-memory singleton removal
  91. Fri Feb 5 12:51:42 2016 begin with 30933726 relations and 34127771 unique ideals
  92. Fri Feb 5 12:52:07 2016 reduce to 30087150 relations and 28506036 ideals in 8 passes
  93. Fri Feb 5 12:52:07 2016 max relations containing the same ideal: 91
  94. Fri Feb 5 12:52:24 2016 removing 3849843 relations and 2873131 ideals in 976712 cliques
  95. Fri Feb 5 12:52:26 2016 commencing in-memory singleton removal
  96. Fri Feb 5 12:52:28 2016 begin with 26237307 relations and 28506036 unique ideals
  97. Fri Feb 5 12:52:46 2016 reduce to 25885940 relations and 25271203 ideals in 8 passes
  98. Fri Feb 5 12:52:46 2016 max relations containing the same ideal: 82
  99. Fri Feb 5 12:53:01 2016 removing 80884 relations and 70549 ideals in 10335 cliques
  100. Fri Feb 5 12:53:02 2016 commencing in-memory singleton removal
  101. Fri Feb 5 12:53:04 2016 begin with 25805056 relations and 25271203 unique ideals
  102. Fri Feb 5 12:53:14 2016 reduce to 25804875 relations and 25200473 ideals in 5 passes
  103. Fri Feb 5 12:53:14 2016 max relations containing the same ideal: 82
  104. Fri Feb 5 12:53:21 2016 relations with 0 large ideals: 20096
  105. Fri Feb 5 12:53:21 2016 relations with 1 large ideals: 6783
  106. Fri Feb 5 12:53:21 2016 relations with 2 large ideals: 98078
  107. Fri Feb 5 12:53:21 2016 relations with 3 large ideals: 669098
  108. Fri Feb 5 12:53:21 2016 relations with 4 large ideals: 2437332
  109. Fri Feb 5 12:53:21 2016 relations with 5 large ideals: 5254286
  110. Fri Feb 5 12:53:21 2016 relations with 6 large ideals: 6989778
  111. Fri Feb 5 12:53:21 2016 relations with 7+ large ideals: 10329424
  112. Fri Feb 5 12:53:21 2016 commencing 2-way merge
  113. Fri Feb 5 12:53:39 2016 reduce to 16291409 relation sets and 15687007 unique ideals
  114. Fri Feb 5 12:53:39 2016 commencing full merge
  115. Fri Feb 5 13:01:46 2016 memory use: 2166.5 MB
  116. Fri Feb 5 13:01:48 2016 found 7350183 cycles, need 7347207
  117. Fri Feb 5 13:01:50 2016 weight of 7347207 cycles is about 882089330 (120.06/cycle)
  118. Fri Feb 5 13:01:50 2016 distribution of cycle lengths:
  119. Fri Feb 5 13:01:50 2016 1 relations: 335203
  120. Fri Feb 5 13:01:50 2016 2 relations: 454999
  121. Fri Feb 5 13:01:50 2016 3 relations: 513501
  122. Fri Feb 5 13:01:50 2016 4 relations: 515825
  123. Fri Feb 5 13:01:50 2016 5 relations: 520097
  124. Fri Feb 5 13:01:50 2016 6 relations: 514520
  125. Fri Feb 5 13:01:50 2016 7 relations: 504261
  126. Fri Feb 5 13:01:50 2016 8 relations: 483323
  127. Fri Feb 5 13:01:50 2016 9 relations: 457614
  128. Fri Feb 5 13:01:50 2016 10+ relations: 3047864
  129. Fri Feb 5 13:01:50 2016 heaviest cycle: 28 relations
  130. Fri Feb 5 13:01:52 2016 commencing cycle optimization
  131. Fri Feb 5 13:02:06 2016 start with 67028034 relations
  132. Fri Feb 5 13:05:09 2016 pruned 3023371 relations
  133. Fri Feb 5 13:05:09 2016 memory use: 1757.1 MB
  134. Fri Feb 5 13:05:09 2016 distribution of cycle lengths:
  135. Fri Feb 5 13:05:09 2016 1 relations: 335203
  136. Fri Feb 5 13:05:09 2016 2 relations: 465431
  137. Fri Feb 5 13:05:09 2016 3 relations: 533198
  138. Fri Feb 5 13:05:09 2016 4 relations: 535578
  139. Fri Feb 5 13:05:09 2016 5 relations: 544244
  140. Fri Feb 5 13:05:09 2016 6 relations: 538317
  141. Fri Feb 5 13:05:09 2016 7 relations: 529271
  142. Fri Feb 5 13:05:09 2016 8 relations: 505763
  143. Fri Feb 5 13:05:09 2016 9 relations: 479710
  144. Fri Feb 5 13:05:09 2016 10+ relations: 2880492
  145. Fri Feb 5 13:05:09 2016 heaviest cycle: 28 relations
  146. Fri Feb 5 13:05:26 2016 RelProcTime: 6043
  147. Fri Feb 5 13:05:26 2016
  148. Fri Feb 5 13:05:26 2016 commencing linear algebra
  149. Fri Feb 5 13:05:27 2016 read 7347207 cycles
  150. Fri Feb 5 13:05:46 2016 cycles contain 25450041 unique relations
  151. Fri Feb 5 13:08:39 2016 read 25450041 relations
  152. Fri Feb 5 13:09:42 2016 using 20 quadratic characters above 4294917295
  153. Fri Feb 5 13:12:00 2016 building initial matrix
  154. Fri Feb 5 13:17:43 2016 memory use: 3374.3 MB
  155. Fri Feb 5 13:17:47 2016 read 7347207 cycles
  156. Fri Feb 5 13:17:48 2016 matrix is 7347030 x 7347207 (3444.1 MB) with weight 1016148972 (138.30/col)
  157. Fri Feb 5 13:17:48 2016 sparse part has weight 822025606 (111.88/col)
  158. Fri Feb 5 13:19:43 2016 filtering completed in 2 passes
  159. Fri Feb 5 13:19:44 2016 matrix is 7346968 x 7347145 (3444.1 MB) with weight 1016146918 (138.31/col)
  160. Fri Feb 5 13:19:44 2016 sparse part has weight 822025102 (111.88/col)
  161. Fri Feb 5 13:20:09 2016 matrix starts at (0, 0)
  162. Fri Feb 5 13:20:10 2016 matrix is 7346968 x 7347145 (3444.1 MB) with weight 1016146918 (138.31/col)
  163. Fri Feb 5 13:20:10 2016 sparse part has weight 822025102 (111.88/col)
  164. Fri Feb 5 13:20:10 2016 saving the first 48 matrix rows for later
  165. Fri Feb 5 13:20:12 2016 matrix includes 64 packed rows
  166. Fri Feb 5 13:20:13 2016 matrix is 7346920 x 7347145 (3319.4 MB) with weight 863537386 (117.53/col)
  167. Fri Feb 5 13:20:13 2016 sparse part has weight 796684882 (108.43/col)
  168. Fri Feb 5 13:20:13 2016 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  169. Fri Feb 5 13:20:51 2016 commencing Lanczos iteration (2 threads)
  170. Fri Feb 5 13:20:51 2016 memory use: 2799.1 MB
  171. Fri Feb 5 13:22:46 2016 linear algebra at 0.0%, ETA 150h32m
  172. Fri Feb 5 13:23:22 2016 checkpointing every 50000 dimensions
  173. Wed Feb 10 11:07:48 2016 lanczos halted after 116185 iterations (dim = 7346920)
  174. Wed Feb 10 11:08:00 2016 recovered 35 nontrivial dependencies
  175. Wed Feb 10 11:08:00 2016 BLanczosTime: 424954
  176. Wed Feb 10 11:08:00 2016
  177. Wed Feb 10 11:08:00 2016 commencing square root phase
  178. Wed Feb 10 11:08:00 2016 handling dependencies 1 to 64
  179. Wed Feb 10 11:08:00 2016 reading relations for dependency 1
  180. Wed Feb 10 11:08:01 2016 read 3672867 cycles
  181. Wed Feb 10 11:08:10 2016 cycles contain 12722504 unique relations
  182. Wed Feb 10 11:09:48 2016 read 12722504 relations
  183. Wed Feb 10 11:11:00 2016 multiplying 12722504 relations
  184. Wed Feb 10 11:25:04 2016 multiply complete, coefficients have about 325.92 million bits
  185. Wed Feb 10 11:25:07 2016 initial square root is modulo 704761
  186. Wed Feb 10 11:41:32 2016 GCD is 1, no factor found
  187. Wed Feb 10 11:41:32 2016 reading relations for dependency 2
  188. Wed Feb 10 11:41:33 2016 read 3675237 cycles
  189. Wed Feb 10 11:41:43 2016 cycles contain 12723630 unique relations
  190. Wed Feb 10 11:44:29 2016 read 12723630 relations
  191. Wed Feb 10 11:45:40 2016 multiplying 12723630 relations
  192. Wed Feb 10 12:02:05 2016 multiply complete, coefficients have about 325.94 million bits
  193. Wed Feb 10 12:02:08 2016 initial square root is modulo 705421
  194. Wed Feb 10 12:20:05 2016 sqrtTime: 4325
  195. Wed Feb 10 12:20:05 2016 p72 factor: 263615508766572376761965157810265545216275677830154922343498587550270229
  196. Wed Feb 10 12:20:05 2016 p115 factor: 7994398119225158258804307836393693167720834296122169067092886389267152091868349999345814661476258564700539077285423
  197. Wed Feb 10 12:20:05 2016 elapsed time 120:55:23
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