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W_790

Dec 2nd, 2015
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  1. Fri Nov 20 20:11:12 2015
  2. Fri Nov 20 20:11:12 2015
  3. Fri Nov 20 20:11:12 2015 Msieve v. 1.52 (SVN Xyzzy)
  4. Fri Nov 20 20:11:12 2015 random seeds: 945cc190 4365fcb0
  5. Fri Nov 20 20:11:12 2015 factoring 50347384341138176006178415883178732381822763427089232725611483724595088310604843845262334284967205069394946181997735482428709734626468339194389229323823820163748631990381095961677486642901 (188 digits)
  6. Fri Nov 20 20:11:14 2015 no P-1/P+1/ECM available, skipping
  7. Fri Nov 20 20:11:14 2015 commencing number field sieve (188-digit input)
  8. Fri Nov 20 20:11:14 2015 R0: -2722258935367507707706996859454145691648
  9. Fri Nov 20 20:11:14 2015 R1: 1
  10. Fri Nov 20 20:11:14 2015 A0: -1
  11. Fri Nov 20 20:11:14 2015 A1: 0
  12. Fri Nov 20 20:11:14 2015 A2: 0
  13. Fri Nov 20 20:11:14 2015 A3: 0
  14. Fri Nov 20 20:11:14 2015 A4: 0
  15. Fri Nov 20 20:11:14 2015 A5: 0
  16. Fri Nov 20 20:11:14 2015 A6: 12640
  17. Fri Nov 20 20:11:14 2015 skew 1.00, size 5.030e-12, alpha -0.076, combined = 3.584e-13 rroots = 2
  18. Fri Nov 20 20:11:14 2015
  19. Fri Nov 20 20:11:14 2015 commencing relation filtering
  20. Fri Nov 20 20:11:14 2015 setting target matrix density to 120.0
  21. Fri Nov 20 20:11:14 2015 estimated available RAM is 16010.7 MB
  22. Fri Nov 20 20:11:14 2015 commencing duplicate removal, pass 1
  23. Fri Nov 20 20:15:36 2015 error -11 reading relation 19733303
  24. Fri Nov 20 20:49:40 2015 skipped 502 relations with b > 2^32
  25. Fri Nov 20 20:49:40 2015 found 6867421 hash collisions in 176363152 relations
  26. Fri Nov 20 20:50:17 2015 added 1217799 free relations
  27. Fri Nov 20 20:50:17 2015 commencing duplicate removal, pass 2
  28. Fri Nov 20 20:51:46 2015 found 1 duplicates and 177580950 unique relations
  29. Fri Nov 20 20:51:46 2015 memory use: 522.4 MB
  30. Fri Nov 20 20:51:46 2015 reading ideals above 129957888
  31. Fri Nov 20 20:51:46 2015 commencing singleton removal, initial pass
  32. Fri Nov 20 21:35:48 2015 memory use: 3012.0 MB
  33. Fri Nov 20 21:35:48 2015 reading all ideals from disk
  34. Fri Nov 20 21:35:53 2015 memory use: 3048.9 MB
  35. Fri Nov 20 21:36:14 2015 commencing in-memory singleton removal
  36. Fri Nov 20 21:36:35 2015 begin with 177580950 relations and 155421531 unique ideals
  37. Fri Nov 20 21:40:26 2015 reduce to 103724831 relations and 72782508 ideals in 15 passes
  38. Fri Nov 20 21:40:26 2015 max relations containing the same ideal: 36
  39. Fri Nov 20 21:40:42 2015 reading ideals above 720000
  40. Fri Nov 20 21:40:42 2015 commencing singleton removal, initial pass
  41. Fri Nov 20 22:13:37 2015 memory use: 2756.0 MB
  42. Fri Nov 20 22:13:37 2015 reading all ideals from disk
  43. Fri Nov 20 22:13:45 2015 memory use: 4028.7 MB
  44. Fri Nov 20 22:14:15 2015 keeping 87009454 ideals with weight <= 200, target excess is 523701
  45. Fri Nov 20 22:14:47 2015 commencing in-memory singleton removal
  46. Fri Nov 20 22:15:13 2015 begin with 103724831 relations and 87009454 unique ideals
  47. Fri Nov 20 22:18:51 2015 reduce to 103724076 relations and 87008699 ideals in 7 passes
  48. Fri Nov 20 22:18:51 2015 max relations containing the same ideal: 200
  49. Fri Nov 20 22:20:55 2015 removing 11591273 relations and 9591273 ideals in 2000000 cliques
  50. Fri Nov 20 22:21:01 2015 commencing in-memory singleton removal
  51. Fri Nov 20 22:21:25 2015 begin with 92132803 relations and 87008699 unique ideals
  52. Fri Nov 20 22:25:03 2015 reduce to 91179717 relations and 76441376 ideals in 8 passes
  53. Fri Nov 20 22:25:03 2015 max relations containing the same ideal: 193
  54. Fri Nov 20 22:26:50 2015 removing 8773545 relations and 6773545 ideals in 2000000 cliques
  55. Fri Nov 20 22:26:56 2015 commencing in-memory singleton removal
  56. Fri Nov 20 22:27:16 2015 begin with 82406172 relations and 76441376 unique ideals
  57. Fri Nov 20 22:31:14 2015 reduce to 81762740 relations and 69010470 ideals in 10 passes
  58. Fri Nov 20 22:31:14 2015 max relations containing the same ideal: 178
  59. Fri Nov 20 22:32:50 2015 removing 7939768 relations and 5939768 ideals in 2000000 cliques
  60. Fri Nov 20 22:32:55 2015 commencing in-memory singleton removal
  61. Fri Nov 20 22:33:12 2015 begin with 73822972 relations and 69010470 unique ideals
  62. Fri Nov 20 22:35:58 2015 reduce to 73238914 relations and 62473474 ideals in 8 passes
  63. Fri Nov 20 22:35:58 2015 max relations containing the same ideal: 166
  64. Fri Nov 20 22:37:22 2015 removing 7521039 relations and 5521039 ideals in 2000000 cliques
  65. Fri Nov 20 22:37:27 2015 commencing in-memory singleton removal
  66. Fri Nov 20 22:37:42 2015 begin with 65717875 relations and 62473474 unique ideals
  67. Fri Nov 20 22:40:06 2015 reduce to 65146921 relations and 56367642 ideals in 8 passes
  68. Fri Nov 20 22:40:06 2015 max relations containing the same ideal: 156
  69. Fri Nov 20 22:41:21 2015 removing 7271867 relations and 5271867 ideals in 2000000 cliques
  70. Fri Nov 20 22:41:25 2015 commencing in-memory singleton removal
  71. Fri Nov 20 22:41:37 2015 begin with 57875054 relations and 56367642 unique ideals
  72. Fri Nov 20 22:43:39 2015 reduce to 57290831 relations and 50495821 ideals in 8 passes
  73. Fri Nov 20 22:43:39 2015 max relations containing the same ideal: 144
  74. Fri Nov 20 22:44:44 2015 removing 7110433 relations and 5110433 ideals in 2000000 cliques
  75. Fri Nov 20 22:44:49 2015 commencing in-memory singleton removal
  76. Fri Nov 20 22:44:59 2015 begin with 50180398 relations and 50495821 unique ideals
  77. Fri Nov 20 22:46:43 2015 reduce to 49562224 relations and 44748462 ideals in 8 passes
  78. Fri Nov 20 22:46:43 2015 max relations containing the same ideal: 133
  79. Fri Nov 20 22:47:39 2015 removing 6999775 relations and 4999775 ideals in 2000000 cliques
  80. Fri Nov 20 22:47:43 2015 commencing in-memory singleton removal
  81. Fri Nov 20 22:47:52 2015 begin with 42562449 relations and 44748462 unique ideals
  82. Fri Nov 20 22:49:27 2015 reduce to 41879921 relations and 39042217 ideals in 9 passes
  83. Fri Nov 20 22:49:27 2015 max relations containing the same ideal: 115
  84. Fri Nov 20 22:50:15 2015 removing 6930021 relations and 4930021 ideals in 2000000 cliques
  85. Fri Nov 20 22:50:18 2015 commencing in-memory singleton removal
  86. Fri Nov 20 22:50:25 2015 begin with 34949900 relations and 39042217 unique ideals
  87. Fri Nov 20 22:51:40 2015 reduce to 34151353 relations and 33280894 ideals in 9 passes
  88. Fri Nov 20 22:51:40 2015 max relations containing the same ideal: 102
  89. Fri Nov 20 22:52:19 2015 removing 1368818 relations and 1105853 ideals in 262965 cliques
  90. Fri Nov 20 22:52:21 2015 commencing in-memory singleton removal
  91. Fri Nov 20 22:52:27 2015 begin with 32782535 relations and 33280894 unique ideals
  92. Fri Nov 20 22:53:13 2015 reduce to 32746483 relations and 32138735 ideals in 6 passes
  93. Fri Nov 20 22:53:13 2015 max relations containing the same ideal: 99
  94. Fri Nov 20 22:53:59 2015 relations with 0 large ideals: 20059
  95. Fri Nov 20 22:53:59 2015 relations with 1 large ideals: 5813
  96. Fri Nov 20 22:53:59 2015 relations with 2 large ideals: 82550
  97. Fri Nov 20 22:53:59 2015 relations with 3 large ideals: 606882
  98. Fri Nov 20 22:53:59 2015 relations with 4 large ideals: 2417950
  99. Fri Nov 20 22:53:59 2015 relations with 5 large ideals: 5757695
  100. Fri Nov 20 22:53:59 2015 relations with 6 large ideals: 8542070
  101. Fri Nov 20 22:53:59 2015 relations with 7+ large ideals: 15313464
  102. Fri Nov 20 22:53:59 2015 commencing 2-way merge
  103. Fri Nov 20 22:54:45 2015 reduce to 21134615 relation sets and 20526867 unique ideals
  104. Fri Nov 20 22:54:45 2015 commencing full merge
  105. Fri Nov 20 23:13:44 2015 memory use: 2783.5 MB
  106. Fri Nov 20 23:13:47 2015 found 9579324 cycles, need 9567067
  107. Fri Nov 20 23:13:52 2015 weight of 9567067 cycles is about 1148089414 (120.00/cycle)
  108. Fri Nov 20 23:13:52 2015 distribution of cycle lengths:
  109. Fri Nov 20 23:13:52 2015 1 relations: 423951
  110. Fri Nov 20 23:13:52 2015 2 relations: 591946
  111. Fri Nov 20 23:13:52 2015 3 relations: 678334
  112. Fri Nov 20 23:13:52 2015 4 relations: 694117
  113. Fri Nov 20 23:13:52 2015 5 relations: 704369
  114. Fri Nov 20 23:13:52 2015 6 relations: 691763
  115. Fri Nov 20 23:13:52 2015 7 relations: 675414
  116. Fri Nov 20 23:13:52 2015 8 relations: 641090
  117. Fri Nov 20 23:13:52 2015 9 relations: 604436
  118. Fri Nov 20 23:13:52 2015 10+ relations: 3861647
  119. Fri Nov 20 23:13:52 2015 heaviest cycle: 28 relations
  120. Fri Nov 20 23:13:56 2015 commencing cycle optimization
  121. Fri Nov 20 23:14:39 2015 start with 85637170 relations
  122. Fri Nov 20 23:21:37 2015 pruned 3823757 relations
  123. Fri Nov 20 23:21:37 2015 memory use: 2244.3 MB
  124. Fri Nov 20 23:21:37 2015 distribution of cycle lengths:
  125. Fri Nov 20 23:21:37 2015 1 relations: 423951
  126. Fri Nov 20 23:21:37 2015 2 relations: 605833
  127. Fri Nov 20 23:21:37 2015 3 relations: 705969
  128. Fri Nov 20 23:21:37 2015 4 relations: 721922
  129. Fri Nov 20 23:21:37 2015 5 relations: 738633
  130. Fri Nov 20 23:21:37 2015 6 relations: 723042
  131. Fri Nov 20 23:21:37 2015 7 relations: 708193
  132. Fri Nov 20 23:21:37 2015 8 relations: 669806
  133. Fri Nov 20 23:21:37 2015 9 relations: 631384
  134. Fri Nov 20 23:21:37 2015 10+ relations: 3638334
  135. Fri Nov 20 23:21:37 2015 heaviest cycle: 28 relations
  136. Fri Nov 20 23:22:01 2015 RelProcTime: 11447
  137. Fri Nov 20 23:22:01 2015 elapsed time 03:10:49
  138. Tue Nov 24 17:17:08 2015
  139. Tue Nov 24 17:17:08 2015
  140. Tue Nov 24 17:17:08 2015 Msieve v. 1.52 (SVN Xyzzy)
  141. Tue Nov 24 17:17:08 2015 random seeds: 46efdb37 f29de5c1
  142. Tue Nov 24 17:17:08 2015 factoring 50347384341138176006178415883178732381822763427089232725611483724595088310604843845262334284967205069394946181997735482428709734626468339194389229323823820163748631990381095961677486642901 (188 digits)
  143. Tue Nov 24 17:17:10 2015 no P-1/P+1/ECM available, skipping
  144. Tue Nov 24 17:17:10 2015 commencing number field sieve (188-digit input)
  145. Tue Nov 24 17:17:10 2015 R0: -2722258935367507707706996859454145691648
  146. Tue Nov 24 17:17:10 2015 R1: 1
  147. Tue Nov 24 17:17:10 2015 A0: -1
  148. Tue Nov 24 17:17:10 2015 A1: 0
  149. Tue Nov 24 17:17:10 2015 A2: 0
  150. Tue Nov 24 17:17:10 2015 A3: 0
  151. Tue Nov 24 17:17:10 2015 A4: 0
  152. Tue Nov 24 17:17:10 2015 A5: 0
  153. Tue Nov 24 17:17:10 2015 A6: 12640
  154. Tue Nov 24 17:17:10 2015 skew 1.00, size 5.030e-12, alpha -0.076, combined = 3.584e-13 rroots = 2
  155. Tue Nov 24 17:17:10 2015
  156. Tue Nov 24 17:17:10 2015 commencing linear algebra
  157. Tue Nov 24 17:17:12 2015 read 9567067 cycles
  158. Tue Nov 24 17:17:52 2015 cycles contain 32416115 unique relations
  159. Tue Nov 24 17:22:06 2015 read 32416115 relations
  160. Tue Nov 24 17:23:30 2015 using 20 quadratic characters above 2147482362
  161. Tue Nov 24 17:26:50 2015 building initial matrix
  162. Tue Nov 24 17:36:05 2015 memory use: 4235.1 MB
  163. Tue Nov 24 17:36:10 2015 read 9567067 cycles
  164. Tue Nov 24 17:36:12 2015 matrix is 9566890 x 9567067 (4486.2 MB) with weight 1299970049 (135.88/col)
  165. Tue Nov 24 17:36:12 2015 sparse part has weight 1070783480 (111.92/col)
  166. Tue Nov 24 17:39:43 2015 filtering completed in 2 passes
  167. Tue Nov 24 17:39:45 2015 matrix is 9566806 x 9566983 (4486.2 MB) with weight 1299967007 (135.88/col)
  168. Tue Nov 24 17:39:45 2015 sparse part has weight 1070782452 (111.92/col)
  169. Tue Nov 24 17:40:21 2015 matrix starts at (0, 0)
  170. Tue Nov 24 17:40:23 2015 matrix is 9566806 x 9566983 (4486.2 MB) with weight 1299967007 (135.88/col)
  171. Tue Nov 24 17:40:23 2015 sparse part has weight 1070782452 (111.92/col)
  172. Tue Nov 24 17:40:23 2015 saving the first 48 matrix rows for later
  173. Tue Nov 24 17:40:25 2015 matrix includes 64 packed rows
  174. Tue Nov 24 17:40:27 2015 matrix is 9566758 x 9566983 (4291.8 MB) with weight 1108714503 (115.89/col)
  175. Tue Nov 24 17:40:27 2015 sparse part has weight 1029395762 (107.60/col)
  176. Tue Nov 24 17:40:27 2015 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  177. Tue Nov 24 17:41:26 2015 commencing Lanczos iteration (2 threads)
  178. Tue Nov 24 17:41:26 2015 memory use: 3641.4 MB
  179. Tue Nov 24 17:43:17 2015 linear algebra at 0.0%, ETA 187h24m
  180. Tue Nov 24 17:43:52 2015 checkpointing every 60000 dimensions
  181. Wed Dec 2 11:34:35 2015 lanczos halted after 151295 iterations (dim = 9566758)
  182. Wed Dec 2 11:34:50 2015 recovered 38 nontrivial dependencies
  183. Wed Dec 2 11:34:50 2015 BLanczosTime: 670660
  184. Wed Dec 2 11:34:50 2015 elapsed time 186:17:42
  185. Wed Dec 2 11:37:32 2015
  186. Wed Dec 2 11:37:32 2015
  187. Wed Dec 2 11:37:32 2015 Msieve v. 1.52 (SVN Xyzzy)
  188. Wed Dec 2 11:37:32 2015 random seeds: 79d8fd95 a00fba91
  189. Wed Dec 2 11:37:32 2015 factoring 50347384341138176006178415883178732381822763427089232725611483724595088310604843845262334284967205069394946181997735482428709734626468339194389229323823820163748631990381095961677486642901 (188 digits)
  190. Wed Dec 2 11:37:34 2015 no P-1/P+1/ECM available, skipping
  191. Wed Dec 2 11:37:34 2015 commencing number field sieve (188-digit input)
  192. Wed Dec 2 11:37:34 2015 R0: -2722258935367507707706996859454145691648
  193. Wed Dec 2 11:37:34 2015 R1: 1
  194. Wed Dec 2 11:37:34 2015 A0: -1
  195. Wed Dec 2 11:37:34 2015 A1: 0
  196. Wed Dec 2 11:37:34 2015 A2: 0
  197. Wed Dec 2 11:37:34 2015 A3: 0
  198. Wed Dec 2 11:37:34 2015 A4: 0
  199. Wed Dec 2 11:37:34 2015 A5: 0
  200. Wed Dec 2 11:37:34 2015 A6: 12640
  201. Wed Dec 2 11:37:34 2015 skew 1.00, size 5.030e-12, alpha -0.076, combined = 3.584e-13 rroots = 2
  202. Wed Dec 2 11:37:34 2015
  203. Wed Dec 2 11:37:34 2015 commencing square root phase
  204. Wed Dec 2 11:37:34 2015 reading relations for dependency 1
  205. Wed Dec 2 11:37:36 2015 read 4782743 cycles
  206. Wed Dec 2 11:37:55 2015 cycles contain 16210952 unique relations
  207. Wed Dec 2 11:42:00 2015 read 16210952 relations
  208. Wed Dec 2 11:44:45 2015 multiplying 16210952 relations
  209. Wed Dec 2 12:35:42 2015 multiply complete, coefficients have about 604.53 million bits
  210. Wed Dec 2 12:35:46 2015 initial square root is modulo 265399
  211. Wed Dec 2 13:31:06 2015 GCD is 1, no factor found
  212. Wed Dec 2 13:31:06 2015 reading relations for dependency 2
  213. Wed Dec 2 13:31:08 2015 read 4784048 cycles
  214. Wed Dec 2 13:31:28 2015 cycles contain 16206798 unique relations
  215. Wed Dec 2 13:35:35 2015 read 16206798 relations
  216. Wed Dec 2 13:38:19 2015 multiplying 16206798 relations
  217. Wed Dec 2 14:28:45 2015 multiply complete, coefficients have about 604.37 million bits
  218. Wed Dec 2 14:28:49 2015 initial square root is modulo 264529
  219. Wed Dec 2 15:21:51 2015 sqrtTime: 13457
  220. Wed Dec 2 15:21:51 2015 prp88 factor: 7672236958518363816567697109832643079838636749631210749387737419588642636816013574367653
  221. Wed Dec 2 15:21:51 2015 prp100 factor: 6562282240936037358815422484225511323795135516019451448000923739689561470840832334996806359588917617
  222. Wed Dec 2 15:21:51 2015 elapsed time 03:44:19
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