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C175_127_66

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Jan 30th, 2016
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  1. Tue Jan 26 18:06:02 2016
  2. Tue Jan 26 18:06:02 2016
  3. Tue Jan 26 18:06:02 2016 Msieve v. 1.53 (SVN 991)
  4. Tue Jan 26 18:06:02 2016 random seeds: e289cd9e 608c99ad
  5. Tue Jan 26 18:06:02 2016 factoring 9748295192104656074585819234096540799829259550880175359587987097338921130269416391019920485924569493178147234035419213355102355716137667190844940711857516425791599690747604743 (175 digits)
  6. Tue Jan 26 18:06:03 2016 no P-1/P+1/ECM available, skipping
  7. Tue Jan 26 18:06:03 2016 commencing number field sieve (175-digit input)
  8. Tue Jan 26 18:06:03 2016 R0: 487016753260950715201262167704729550848
  9. Tue Jan 26 18:06:03 2016 R1: -138624799340320978519423
  10. Tue Jan 26 18:06:03 2016 A0: 243
  11. Tue Jan 26 18:06:03 2016 A1: 0
  12. Tue Jan 26 18:06:03 2016 A2: 0
  13. Tue Jan 26 18:06:03 2016 A3: 0
  14. Tue Jan 26 18:06:03 2016 A4: 0
  15. Tue Jan 26 18:06:03 2016 A5: 0
  16. Tue Jan 26 18:06:03 2016 A6: 22
  17. Tue Jan 26 18:06:03 2016 skew 1.49, size 1.438e-11, alpha -0.969, combined = 8.397e-13 rroots = 0
  18. Tue Jan 26 18:06:03 2016
  19. Tue Jan 26 18:06:03 2016 commencing relation filtering
  20. Tue Jan 26 18:06:03 2016 setting target matrix density to 120.0
  21. Tue Jan 26 18:06:03 2016 estimated available RAM is 16010.6 MB
  22. Tue Jan 26 18:06:03 2016 commencing duplicate removal, pass 1
  23. Tue Jan 26 18:25:28 2016 error -5 reading relation 86529628
  24. Tue Jan 26 18:26:19 2016 skipped 6 relations with b > 2^32
  25. Tue Jan 26 18:26:19 2016 found 3554255 hash collisions in 89768512 relations
  26. Tue Jan 26 18:26:36 2016 commencing duplicate removal, pass 2
  27. Tue Jan 26 18:27:04 2016 found 0 duplicates and 89768512 unique relations
  28. Tue Jan 26 18:27:04 2016 memory use: 261.2 MB
  29. Tue Jan 26 18:27:04 2016 reading ideals above 56164352
  30. Tue Jan 26 18:27:04 2016 commencing singleton removal, initial pass
  31. Tue Jan 26 18:42:26 2016 memory use: 1506.0 MB
  32. Tue Jan 26 18:42:26 2016 reading all ideals from disk
  33. Tue Jan 26 18:42:28 2016 memory use: 1714.7 MB
  34. Tue Jan 26 18:42:33 2016 commencing in-memory singleton removal
  35. Tue Jan 26 18:42:38 2016 begin with 89768512 relations and 80656592 unique ideals
  36. Tue Jan 26 18:43:37 2016 reduce to 51253089 relations and 37412137 ideals in 15 passes
  37. Tue Jan 26 18:43:37 2016 max relations containing the same ideal: 37
  38. Tue Jan 26 18:43:41 2016 reading ideals above 720000
  39. Tue Jan 26 18:43:42 2016 commencing singleton removal, initial pass
  40. Tue Jan 26 18:53:46 2016 memory use: 1378.0 MB
  41. Tue Jan 26 18:53:46 2016 reading all ideals from disk
  42. Tue Jan 26 18:53:48 2016 memory use: 1901.6 MB
  43. Tue Jan 26 18:53:55 2016 keeping 43826934 ideals with weight <= 200, target excess is 274841
  44. Tue Jan 26 18:54:02 2016 commencing in-memory singleton removal
  45. Tue Jan 26 18:54:08 2016 begin with 51253092 relations and 43826934 unique ideals
  46. Tue Jan 26 18:55:02 2016 reduce to 51250134 relations and 43823964 ideals in 7 passes
  47. Tue Jan 26 18:55:02 2016 max relations containing the same ideal: 200
  48. Tue Jan 26 18:55:33 2016 removing 5876604 relations and 4876604 ideals in 1000000 cliques
  49. Tue Jan 26 18:55:36 2016 commencing in-memory singleton removal
  50. Tue Jan 26 18:55:41 2016 begin with 45373530 relations and 43823964 unique ideals
  51. Tue Jan 26 18:56:26 2016 reduce to 44818385 relations and 38378044 ideals in 8 passes
  52. Tue Jan 26 18:56:26 2016 max relations containing the same ideal: 191
  53. Tue Jan 26 18:56:54 2016 removing 4536346 relations and 3536346 ideals in 1000000 cliques
  54. Tue Jan 26 18:56:56 2016 commencing in-memory singleton removal
  55. Tue Jan 26 18:57:01 2016 begin with 40282039 relations and 38378044 unique ideals
  56. Tue Jan 26 18:57:48 2016 reduce to 39931067 relations and 34482735 ideals in 8 passes
  57. Tue Jan 26 18:57:48 2016 max relations containing the same ideal: 178
  58. Tue Jan 26 18:58:11 2016 removing 4088324 relations and 3088324 ideals in 1000000 cliques
  59. Tue Jan 26 18:58:13 2016 commencing in-memory singleton removal
  60. Tue Jan 26 18:58:17 2016 begin with 35842743 relations and 34482735 unique ideals
  61. Tue Jan 26 18:58:49 2016 reduce to 35537753 relations and 31082329 ideals in 9 passes
  62. Tue Jan 26 18:58:49 2016 max relations containing the same ideal: 165
  63. Tue Jan 26 18:59:09 2016 removing 3837374 relations and 2837374 ideals in 1000000 cliques
  64. Tue Jan 26 18:59:11 2016 commencing in-memory singleton removal
  65. Tue Jan 26 18:59:14 2016 begin with 31700379 relations and 31082329 unique ideals
  66. Tue Jan 26 18:59:40 2016 reduce to 31410928 relations and 27948193 ideals in 8 passes
  67. Tue Jan 26 18:59:40 2016 max relations containing the same ideal: 153
  68. Tue Jan 26 18:59:58 2016 removing 3667837 relations and 2667837 ideals in 1000000 cliques
  69. Tue Jan 26 19:00:00 2016 commencing in-memory singleton removal
  70. Tue Jan 26 19:00:03 2016 begin with 27743091 relations and 27948193 unique ideals
  71. Tue Jan 26 19:00:22 2016 reduce to 27453585 relations and 24982675 ideals in 7 passes
  72. Tue Jan 26 19:00:22 2016 max relations containing the same ideal: 142
  73. Tue Jan 26 19:00:39 2016 removing 3544696 relations and 2544696 ideals in 1000000 cliques
  74. Tue Jan 26 19:00:41 2016 commencing in-memory singleton removal
  75. Tue Jan 26 19:00:43 2016 begin with 23908889 relations and 24982675 unique ideals
  76. Tue Jan 26 19:01:02 2016 reduce to 23607999 relations and 22127866 ideals in 7 passes
  77. Tue Jan 26 19:01:02 2016 max relations containing the same ideal: 125
  78. Tue Jan 26 19:01:15 2016 removing 3455746 relations and 2455746 ideals in 1000000 cliques
  79. Tue Jan 26 19:01:17 2016 commencing in-memory singleton removal
  80. Tue Jan 26 19:01:18 2016 begin with 20152253 relations and 22127866 unique ideals
  81. Tue Jan 26 19:01:40 2016 reduce to 19819734 relations and 19327543 ideals in 8 passes
  82. Tue Jan 26 19:01:40 2016 max relations containing the same ideal: 112
  83. Tue Jan 26 19:01:53 2016 removing 833008 relations and 659633 ideals in 173375 cliques
  84. Tue Jan 26 19:01:53 2016 commencing in-memory singleton removal
  85. Tue Jan 26 19:01:55 2016 begin with 18986726 relations and 19327543 unique ideals
  86. Tue Jan 26 19:02:13 2016 reduce to 18965796 relations and 18646811 ideals in 7 passes
  87. Tue Jan 26 19:02:13 2016 max relations containing the same ideal: 110
  88. Tue Jan 26 19:02:31 2016 relations with 0 large ideals: 10239
  89. Tue Jan 26 19:02:31 2016 relations with 1 large ideals: 2776
  90. Tue Jan 26 19:02:31 2016 relations with 2 large ideals: 30736
  91. Tue Jan 26 19:02:31 2016 relations with 3 large ideals: 250749
  92. Tue Jan 26 19:02:31 2016 relations with 4 large ideals: 1110259
  93. Tue Jan 26 19:02:31 2016 relations with 5 large ideals: 2916141
  94. Tue Jan 26 19:02:31 2016 relations with 6 large ideals: 4755373
  95. Tue Jan 26 19:02:31 2016 relations with 7+ large ideals: 9889523
  96. Tue Jan 26 19:02:31 2016 commencing 2-way merge
  97. Tue Jan 26 19:02:46 2016 reduce to 12573692 relation sets and 12254707 unique ideals
  98. Tue Jan 26 19:02:46 2016 commencing full merge
  99. Tue Jan 26 19:09:26 2016 memory use: 1646.9 MB
  100. Tue Jan 26 19:09:27 2016 found 5634185 cycles, need 5626907
  101. Tue Jan 26 19:09:29 2016 weight of 5626907 cycles is about 675427078 (120.04/cycle)
  102. Tue Jan 26 19:09:29 2016 distribution of cycle lengths:
  103. Tue Jan 26 19:09:29 2016 1 relations: 161746
  104. Tue Jan 26 19:09:29 2016 2 relations: 300371
  105. Tue Jan 26 19:09:29 2016 3 relations: 383755
  106. Tue Jan 26 19:09:29 2016 4 relations: 411859
  107. Tue Jan 26 19:09:29 2016 5 relations: 425372
  108. Tue Jan 26 19:09:29 2016 6 relations: 424036
  109. Tue Jan 26 19:09:29 2016 7 relations: 415126
  110. Tue Jan 26 19:09:29 2016 8 relations: 396192
  111. Tue Jan 26 19:09:29 2016 9 relations: 371706
  112. Tue Jan 26 19:09:29 2016 10+ relations: 2336744
  113. Tue Jan 26 19:09:29 2016 heaviest cycle: 28 relations
  114. Tue Jan 26 19:09:31 2016 commencing cycle optimization
  115. Tue Jan 26 19:09:42 2016 start with 51454115 relations
  116. Tue Jan 26 19:11:58 2016 pruned 2368865 relations
  117. Tue Jan 26 19:11:58 2016 memory use: 1324.9 MB
  118. Tue Jan 26 19:11:58 2016 distribution of cycle lengths:
  119. Tue Jan 26 19:11:58 2016 1 relations: 161746
  120. Tue Jan 26 19:11:58 2016 2 relations: 308197
  121. Tue Jan 26 19:11:58 2016 3 relations: 400659
  122. Tue Jan 26 19:11:58 2016 4 relations: 429277
  123. Tue Jan 26 19:11:58 2016 5 relations: 447409
  124. Tue Jan 26 19:11:58 2016 6 relations: 444257
  125. Tue Jan 26 19:11:58 2016 7 relations: 436346
  126. Tue Jan 26 19:11:58 2016 8 relations: 414825
  127. Tue Jan 26 19:11:58 2016 9 relations: 388328
  128. Tue Jan 26 19:11:58 2016 10+ relations: 2195863
  129. Tue Jan 26 19:11:58 2016 heaviest cycle: 28 relations
  130. Tue Jan 26 19:12:09 2016 RelProcTime: 3966
  131. Tue Jan 26 19:12:09 2016
  132. Tue Jan 26 19:12:09 2016 commencing linear algebra
  133. Tue Jan 26 19:12:11 2016 read 5626907 cycles
  134. Tue Jan 26 19:12:24 2016 cycles contain 18803805 unique relations
  135. Tue Jan 26 19:14:23 2016 read 18803805 relations
  136. Tue Jan 26 19:14:58 2016 using 20 quadratic characters above 4294917295
  137. Tue Jan 26 19:16:40 2016 building initial matrix
  138. Tue Jan 26 19:21:05 2016 memory use: 2491.8 MB
  139. Tue Jan 26 19:21:07 2016 read 5626907 cycles
  140. Tue Jan 26 19:21:08 2016 matrix is 5626730 x 5626907 (2634.6 MB) with weight 775945016 (137.90/col)
  141. Tue Jan 26 19:21:08 2016 sparse part has weight 628738802 (111.74/col)
  142. Tue Jan 26 19:22:30 2016 filtering completed in 2 passes
  143. Tue Jan 26 19:22:32 2016 matrix is 5626718 x 5626895 (2634.6 MB) with weight 775944600 (137.90/col)
  144. Tue Jan 26 19:22:32 2016 sparse part has weight 628738700 (111.74/col)
  145. Tue Jan 26 19:22:49 2016 matrix starts at (0, 0)
  146. Tue Jan 26 19:22:50 2016 matrix is 5626718 x 5626895 (2634.6 MB) with weight 775944600 (137.90/col)
  147. Tue Jan 26 19:22:50 2016 sparse part has weight 628738700 (111.74/col)
  148. Tue Jan 26 19:22:50 2016 saving the first 48 matrix rows for later
  149. Tue Jan 26 19:22:51 2016 matrix includes 64 packed rows
  150. Tue Jan 26 19:22:52 2016 matrix is 5626670 x 5626895 (2532.8 MB) with weight 662702315 (117.77/col)
  151. Tue Jan 26 19:22:52 2016 sparse part has weight 607694369 (108.00/col)
  152. Tue Jan 26 19:22:52 2016 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  153. Tue Jan 26 19:23:20 2016 commencing Lanczos iteration
  154. Tue Jan 26 19:23:20 2016 memory use: 2132.2 MB
  155. Tue Jan 26 19:24:42 2016 linear algebra at 0.0%, ETA 81h 3m
  156. Tue Jan 26 19:25:09 2016 checkpointing every 70000 dimensions
  157. Sat Jan 30 07:47:37 2016 lanczos halted after 88981 iterations (dim = 5626669)
  158. Sat Jan 30 07:47:46 2016 recovered 39 nontrivial dependencies
  159. Sat Jan 30 07:47:46 2016 BLanczosTime: 304537
  160. Sat Jan 30 07:47:46 2016
  161. Sat Jan 30 07:47:46 2016 commencing square root phase
  162. Sat Jan 30 07:47:46 2016 handling dependencies 1 to 64
  163. Sat Jan 30 07:47:46 2016 reading relations for dependency 1
  164. Sat Jan 30 07:47:46 2016 read 2812211 cycles
  165. Sat Jan 30 07:47:53 2016 cycles contain 9400784 unique relations
  166. Sat Jan 30 07:49:00 2016 read 9400784 relations
  167. Sat Jan 30 07:49:50 2016 multiplying 9400784 relations
  168. Sat Jan 30 07:59:26 2016 multiply complete, coefficients have about 275.62 million bits
  169. Sat Jan 30 07:59:27 2016 initial square root is modulo 88423
  170. Sat Jan 30 08:10:24 2016 GCD is N, no factor found
  171. Sat Jan 30 08:10:24 2016 reading relations for dependency 2
  172. Sat Jan 30 08:10:24 2016 read 2812307 cycles
  173. Sat Jan 30 08:10:31 2016 cycles contain 9401132 unique relations
  174. Sat Jan 30 08:11:36 2016 read 9401132 relations
  175. Sat Jan 30 08:12:31 2016 multiplying 9401132 relations
  176. Sat Jan 30 08:22:06 2016 multiply complete, coefficients have about 275.62 million bits
  177. Sat Jan 30 08:22:08 2016 initial square root is modulo 88423
  178. Sat Jan 30 08:33:05 2016 GCD is N, no factor found
  179. Sat Jan 30 08:33:05 2016 reading relations for dependency 3
  180. Sat Jan 30 08:33:05 2016 read 2813861 cycles
  181. Sat Jan 30 08:33:11 2016 cycles contain 9401774 unique relations
  182. Sat Jan 30 08:34:15 2016 read 9401774 relations
  183. Sat Jan 30 08:35:06 2016 multiplying 9401774 relations
  184. Sat Jan 30 08:44:42 2016 multiply complete, coefficients have about 275.64 million bits
  185. Sat Jan 30 08:44:44 2016 initial square root is modulo 88423
  186. Sat Jan 30 08:55:43 2016 sqrtTime: 4077
  187. Sat Jan 30 08:55:43 2016 p75 factor: 276732322901760807490821515624819447404789382450767782997296862812222450299
  188. Sat Jan 30 08:55:43 2016 p101 factor: 35226442252520220836091533003767704920725300996778426791647330489565330439241141377295887822892752357
  189. Sat Jan 30 08:55:43 2016 elapsed time 86:49:41
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