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GW_6_318

CarlosPinho Jun 7th, 2016 72 Never
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  1. Mon Apr 13 15:27:55 2015  
  2. Mon Apr 13 15:27:55 2015  
  3. Mon Apr 13 15:27:55 2015  Msieve v. 1.52 (SVN 959)
  4. Mon Apr 13 15:27:55 2015  random seeds: 767060c6 e89e03d0
  5. Mon Apr 13 15:27:55 2015  factoring 17997728666168324564795475049901822923154753735472764410603463588658959511280670421971655762926441753108569763906259420469911538658063279194640378872181740153218327393396465453371866478830660883366508592773747258528791197731592431590113 (236 digits)
  6. Mon Apr 13 15:27:57 2015  no P-1/P+1/ECM available, skipping
  7. Mon Apr 13 15:27:57 2015  commencing number field sieve (236-digit input)
  8. Mon Apr 13 15:27:57 2015  R0: -174588755932389037098918153698611839369216
  9. Mon Apr 13 15:27:57 2015  R1: 1
  10. Mon Apr 13 15:27:57 2015  A0: -1
  11. Mon Apr 13 15:27:57 2015  A1: 0
  12. Mon Apr 13 15:27:57 2015  A2: 0
  13. Mon Apr 13 15:27:57 2015  A3: 0
  14. Mon Apr 13 15:27:57 2015  A4: 0
  15. Mon Apr 13 15:27:57 2015  A5: 0
  16. Mon Apr 13 15:27:57 2015  A6: 318
  17. Mon Apr 13 15:27:57 2015  skew 1.00, size 1.804e-12, alpha 1.499, combined = 1.785e-13 rroots = 2
  18. Mon Apr 13 15:27:57 2015  
  19. Mon Apr 13 15:27:57 2015  commencing relation filtering
  20. Mon Apr 13 15:27:57 2015  setting target matrix density to 100.0
  21. Mon Apr 13 15:27:57 2015  estimated available RAM is 16009.0 MB
  22. Mon Apr 13 15:27:57 2015  commencing duplicate removal, pass 1
  23. { 3824 errors }
  24. Mon Apr 13 16:15:07 2015  skipped 398 relations with b > 2^32
  25. Mon Apr 13 16:15:07 2015  found 47736235 hash collisions in 217166547 relations
  26. Mon Apr 13 16:15:24 2015  added 1218378 free relations
  27. Mon Apr 13 16:15:24 2015  commencing duplicate removal, pass 2
  28. Mon Apr 13 16:37:32 2015  found 49964775 duplicates and 168420150 unique relations
  29. Mon Apr 13 16:37:32 2015  memory use: 1321.5 MB
  30. Mon Apr 13 16:37:32 2015  reading ideals above 167706624
  31. Mon Apr 13 16:37:32 2015  commencing singleton removal, initial pass
  32. Mon Apr 13 17:21:34 2015  memory use: 3012.0 MB
  33. Mon Apr 13 17:21:35 2015  reading all ideals from disk
  34. Mon Apr 13 17:22:17 2015  memory use: 2940.8 MB
  35. Mon Apr 13 17:22:23 2015  commencing in-memory singleton removal
  36. Mon Apr 13 17:22:28 2015  begin with 168420150 relations and 151114114 unique ideals
  37. Mon Apr 13 17:23:29 2015  reduce to 91962230 relations and 64973502 ideals in 16 passes
  38. Mon Apr 13 17:23:29 2015  max relations containing the same ideal: 29
  39. Mon Apr 13 17:23:34 2015  reading ideals above 720000
  40. Mon Apr 13 17:23:34 2015  commencing singleton removal, initial pass
  41. Mon Apr 13 17:59:32 2015  memory use: 2756.0 MB
  42. Mon Apr 13 17:59:32 2015  reading all ideals from disk
  43. Mon Apr 13 18:00:19 2015  memory use: 3651.4 MB
  44. Mon Apr 13 18:00:29 2015  keeping 83259346 ideals with weight <= 200, target excess is 473691
  45. Mon Apr 13 18:00:40 2015  commencing in-memory singleton removal
  46. Mon Apr 13 18:00:48 2015  begin with 91962230 relations and 83259346 unique ideals
  47. Mon Apr 13 18:02:12 2015  reduce to 91911263 relations and 83208335 ideals in 10 passes
  48. Mon Apr 13 18:02:12 2015  max relations containing the same ideal: 200
  49. Mon Apr 13 18:02:57 2015  removing 7751928 relations and 6751928 ideals in 1000000 cliques
  50. Mon Apr 13 18:03:00 2015  commencing in-memory singleton removal
  51. Mon Apr 13 18:03:07 2015  begin with 84159335 relations and 83208335 unique ideals
  52. Mon Apr 13 18:04:08 2015  reduce to 83694097 relations and 75984290 ideals in 8 passes
  53. Mon Apr 13 18:04:08 2015  max relations containing the same ideal: 197
  54. Mon Apr 13 18:04:49 2015  removing 5732604 relations and 4732604 ideals in 1000000 cliques
  55. Mon Apr 13 18:04:51 2015  commencing in-memory singleton removal
  56. Mon Apr 13 18:04:58 2015  begin with 77961493 relations and 75984290 unique ideals
  57. Mon Apr 13 18:05:56 2015  reduce to 77673686 relations and 70960380 ideals in 8 passes
  58. Mon Apr 13 18:05:56 2015  max relations containing the same ideal: 188
  59. Mon Apr 13 18:06:33 2015  removing 5095902 relations and 4095902 ideals in 1000000 cliques
  60. Mon Apr 13 18:06:36 2015  commencing in-memory singleton removal
  61. Mon Apr 13 18:06:42 2015  begin with 72577784 relations and 70960380 unique ideals
  62. Mon Apr 13 18:07:35 2015  reduce to 72332063 relations and 66615776 ideals in 8 passes
  63. Mon Apr 13 18:07:35 2015  max relations containing the same ideal: 180
  64. Mon Apr 13 18:08:10 2015  removing 4749747 relations and 3749747 ideals in 1000000 cliques
  65. Mon Apr 13 18:08:12 2015  commencing in-memory singleton removal
  66. Mon Apr 13 18:08:18 2015  begin with 67582316 relations and 66615776 unique ideals
  67. Mon Apr 13 18:09:06 2015  reduce to 67353977 relations and 62634841 ideals in 8 passes
  68. Mon Apr 13 18:09:06 2015  max relations containing the same ideal: 174
  69. Mon Apr 13 18:09:37 2015  removing 4525823 relations and 3525823 ideals in 1000000 cliques
  70. Mon Apr 13 18:09:39 2015  commencing in-memory singleton removal
  71. Mon Apr 13 18:09:45 2015  begin with 62828154 relations and 62634841 unique ideals
  72. Mon Apr 13 18:10:23 2015  reduce to 62606675 relations and 58884604 ideals in 7 passes
  73. Mon Apr 13 18:10:23 2015  max relations containing the same ideal: 165
  74. Mon Apr 13 18:10:52 2015  removing 4365960 relations and 3365960 ideals in 1000000 cliques
  75. Mon Apr 13 18:10:54 2015  commencing in-memory singleton removal
  76. Mon Apr 13 18:10:59 2015  begin with 58240715 relations and 58884604 unique ideals
  77. Mon Apr 13 18:11:34 2015  reduce to 58018230 relations and 55293100 ideals in 7 passes
  78. Mon Apr 13 18:11:34 2015  max relations containing the same ideal: 159
  79. Mon Apr 13 18:12:01 2015  removing 4253480 relations and 3253480 ideals in 1000000 cliques
  80. Mon Apr 13 18:12:03 2015  commencing in-memory singleton removal
  81. Mon Apr 13 18:12:07 2015  begin with 53764750 relations and 55293100 unique ideals
  82. Mon Apr 13 18:12:45 2015  reduce to 53538207 relations and 51809732 ideals in 8 passes
  83. Mon Apr 13 18:12:45 2015  max relations containing the same ideal: 148
  84. Mon Apr 13 18:13:10 2015  removing 4175425 relations and 3175425 ideals in 1000000 cliques
  85. Mon Apr 13 18:13:11 2015  commencing in-memory singleton removal
  86. Mon Apr 13 18:13:16 2015  begin with 49362782 relations and 51809732 unique ideals
  87. Mon Apr 13 18:13:50 2015  reduce to 49123364 relations and 48391209 ideals in 8 passes
  88. Mon Apr 13 18:13:50 2015  max relations containing the same ideal: 139
  89. Mon Apr 13 18:14:13 2015  removing 1022679 relations and 840006 ideals in 182673 cliques
  90. Mon Apr 13 18:14:14 2015  commencing in-memory singleton removal
  91. Mon Apr 13 18:14:18 2015  begin with 48100685 relations and 48391209 unique ideals
  92. Mon Apr 13 18:14:43 2015  reduce to 48086915 relations and 47537391 ideals in 6 passes
  93. Mon Apr 13 18:14:43 2015  max relations containing the same ideal: 139
  94. Mon Apr 13 18:14:53 2015  relations with 0 large ideals: 18105
  95. Mon Apr 13 18:14:53 2015  relations with 1 large ideals: 3371
  96. Mon Apr 13 18:14:53 2015  relations with 2 large ideals: 48003
  97. Mon Apr 13 18:14:53 2015  relations with 3 large ideals: 417223
  98. Mon Apr 13 18:14:53 2015  relations with 4 large ideals: 2013534
  99. Mon Apr 13 18:14:53 2015  relations with 5 large ideals: 5891602
  100. Mon Apr 13 18:14:53 2015  relations with 6 large ideals: 10862414
  101. Mon Apr 13 18:14:53 2015  relations with 7+ large ideals: 28832663
  102. Mon Apr 13 18:14:53 2015  commencing 2-way merge
  103. Mon Apr 13 18:15:25 2015  reduce to 31469952 relation sets and 30920428 unique ideals
  104. Mon Apr 13 18:15:25 2015  commencing full merge
  105. Mon Apr 13 18:26:46 2015  memory use: 3954.9 MB
  106. Mon Apr 13 18:26:49 2015  found 15056135 cycles, need 14996628
  107. Mon Apr 13 18:26:54 2015  weight of 14996628 cycles is about 1500171504 (100.03/cycle)
  108. Mon Apr 13 18:26:54 2015  distribution of cycle lengths:
  109. Mon Apr 13 18:26:54 2015  1 relations: 1006745
  110. Mon Apr 13 18:26:54 2015  2 relations: 1273318
  111. Mon Apr 13 18:26:54 2015  3 relations: 1391505
  112. Mon Apr 13 18:26:54 2015  4 relations: 1360433
  113. Mon Apr 13 18:26:54 2015  5 relations: 1312993
  114. Mon Apr 13 18:26:54 2015  6 relations: 1213294
  115. Mon Apr 13 18:26:54 2015  7 relations: 1129636
  116. Mon Apr 13 18:26:54 2015  8 relations: 1025711
  117. Mon Apr 13 18:26:54 2015  9 relations: 918556
  118. Mon Apr 13 18:26:54 2015  10+ relations: 4364437
  119. Mon Apr 13 18:26:54 2015  heaviest cycle: 28 relations
  120. Mon Apr 13 18:26:58 2015  commencing cycle optimization
  121. Mon Apr 13 18:27:22 2015  start with 110099004 relations
  122. Mon Apr 13 18:31:01 2015  pruned 3913073 relations
  123. Mon Apr 13 18:31:01 2015  memory use: 3143.1 MB
  124. Mon Apr 13 18:31:01 2015  distribution of cycle lengths:
  125. Mon Apr 13 18:31:01 2015  1 relations: 1006745
  126. Mon Apr 13 18:31:01 2015  2 relations: 1303042
  127. Mon Apr 13 18:31:01 2015  3 relations: 1448496
  128. Mon Apr 13 18:31:01 2015  4 relations: 1408724
  129. Mon Apr 13 18:31:01 2015  5 relations: 1364706
  130. Mon Apr 13 18:31:01 2015  6 relations: 1252812
  131. Mon Apr 13 18:31:01 2015  7 relations: 1166049
  132. Mon Apr 13 18:31:01 2015  8 relations: 1049754
  133. Mon Apr 13 18:31:01 2015  9 relations: 935596
  134. Mon Apr 13 18:31:01 2015  10+ relations: 4060704
  135. Mon Apr 13 18:31:01 2015  heaviest cycle: 27 relations
  136. Mon Apr 13 18:31:28 2015  RelProcTime: 11011
  137. Mon Apr 13 18:31:28 2015  
  138. Mon Apr 13 18:31:28 2015  commencing linear algebra
  139. Mon Apr 13 18:31:32 2015  read 14996628 cycles
  140. Mon Apr 13 18:31:58 2015  cycles contain 47789727 unique relations
  141. Mon Apr 13 18:57:34 2015  read 47789727 relations
  142. Mon Apr 13 18:59:01 2015  using 20 quadratic characters above 2147482274
  143. Mon Apr 13 19:02:05 2015  building initial matrix
  144. Mon Apr 13 19:10:30 2015  memory use: 6223.9 MB
  145. Mon Apr 13 19:11:52 2015  read 14996628 cycles
  146. Mon Apr 13 19:11:54 2015  matrix is 14996451 x 14996628 (6035.7 MB) with weight 1744349164 (116.32/col)
  147. Mon Apr 13 19:11:54 2015  sparse part has weight 1432243591 (95.50/col)
  148. Mon Apr 13 19:14:41 2015  filtering completed in 2 passes
  149. Mon Apr 13 19:14:43 2015  matrix is 14995803 x 14995980 (6035.6 MB) with weight 1744331242 (116.32/col)
  150. Mon Apr 13 19:14:43 2015  sparse part has weight 1432239059 (95.51/col)
  151. Mon Apr 13 19:17:56 2015  matrix starts at (0, 0)
  152. Mon Apr 13 19:17:58 2015  matrix is 14995803 x 14995980 (6035.6 MB) with weight 1744331242 (116.32/col)
  153. Mon Apr 13 19:17:58 2015  sparse part has weight 1432239059 (95.51/col)
  154. Mon Apr 13 19:17:58 2015  saving the first 48 matrix rows for later
  155. Mon Apr 13 19:18:00 2015  matrix includes 64 packed rows
  156. Mon Apr 13 19:18:02 2015  matrix is 14995755 x 14995980 (5796.0 MB) with weight 1469218290 (97.97/col)
  157. Mon Apr 13 19:18:02 2015  sparse part has weight 1369423440 (91.32/col)
  158. Mon Apr 13 19:18:02 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  159. Mon Apr 13 19:19:09 2015  commencing Lanczos iteration (3 threads)
  160. Mon Apr 13 19:19:09 2015  memory use: 4910.5 MB
  161. Mon Apr 13 19:20:39 2015  linear algebra at 0.0%, ETA 238h 5m
  162. Mon Apr 13 19:21:09 2015  checkpointing every 70000 dimensions
  163. Fri Apr 24 01:42:46 2015  lanczos halted after 237135 iterations (dim = 14995747)
  164. Fri Apr 24 01:45:16 2015  recovered 30 nontrivial dependencies
  165. Fri Apr 24 01:45:16 2015  BLanczosTime: 890028
  166. Fri Apr 24 01:45:16 2015  
  167. Fri Apr 24 01:45:16 2015  commencing square root phase
  168. Fri Apr 24 01:45:16 2015  handling dependencies 1 to 64
  169. Fri Apr 24 01:45:16 2015  reading relations for dependency 1
  170. Fri Apr 24 01:45:22 2015  read 7496706 cycles
  171. Fri Apr 24 01:45:34 2015  cycles contain 23892318 unique relations
  172. Fri Apr 24 02:08:23 2015  read 23892318 relations
  173. Fri Apr 24 02:10:09 2015  multiplying 23892318 relations
  174. Fri Apr 24 02:34:26 2015  multiply complete, coefficients have about 783.29 million bits
  175. Fri Apr 24 02:34:29 2015  initial square root is modulo 10648633
  176. Fri Apr 24 02:59:56 2015  GCD is 1, no factor found
  177. Fri Apr 24 02:59:56 2015  reading relations for dependency 2
  178. Fri Apr 24 03:00:03 2015  read 7496513 cycles
  179. Fri Apr 24 03:00:15 2015  cycles contain 23893328 unique relations
  180. Fri Apr 24 03:23:07 2015  read 23893328 relations
  181. Fri Apr 24 03:24:53 2015  multiplying 23893328 relations
  182. Fri Apr 24 03:49:24 2015  multiply complete, coefficients have about 783.33 million bits
  183. Fri Apr 24 03:49:27 2015  initial square root is modulo 10657183
  184. Fri Apr 24 04:14:53 2015  GCD is N, no factor found
  185. Fri Apr 24 04:14:53 2015  reading relations for dependency 3
  186. Fri Apr 24 04:14:59 2015  read 7502441 cycles
  187. Fri Apr 24 04:15:11 2015  cycles contain 23908192 unique relations
  188. Fri Apr 24 04:37:59 2015  read 23908192 relations
  189. Fri Apr 24 04:39:43 2015  multiplying 23908192 relations
  190. Fri Apr 24 05:04:05 2015  multiply complete, coefficients have about 783.81 million bits
  191. Fri Apr 24 05:04:07 2015  initial square root is modulo 10763281
  192. Fri Apr 24 05:29:32 2015  sqrtTime: 13456
  193. Fri Apr 24 05:29:32 2015  prp105 factor: 955692549334371243078921268353865183554241021336069816183031517214259811008037954393555319325774360841289
  194. Fri Apr 24 05:29:32 2015  prp131 factor: 18832132445422467167516526556671851593866412901247899936420027484723903995356687614204911038001552861944332446424568114763187513817
  195. Fri Apr 24 05:29:32 2015  elapsed time 254:01:37
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