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C174_135_52

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Feb 18th, 2016
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  1. Mon Feb 15 13:39:21 2016
  2. Mon Feb 15 13:39:21 2016
  3. Mon Feb 15 13:39:21 2016 Msieve v. 1.52 (SVN unknown)
  4. Mon Feb 15 13:39:21 2016 random seeds: 2a5f6f68 019faa84
  5. Mon Feb 15 13:39:21 2016 factoring 734153168520294350706245849591522841327987847533444140237108479915163161520281981535812677722089633027454667951836396126484470508268551119401862047477671498317865839731768483 (174 digits)
  6. Mon Feb 15 13:39:23 2016 no P-1/P+1/ECM available, skipping
  7. Mon Feb 15 13:39:23 2016 commencing number field sieve (174-digit input)
  8. Mon Feb 15 13:39:23 2016 R0: 21482769967144679013436706816572394744345264128
  9. Mon Feb 15 13:39:23 2016 R1: -6031966760585419921875
  10. Mon Feb 15 13:39:23 2016 A0: 75
  11. Mon Feb 15 13:39:23 2016 A1: 0
  12. Mon Feb 15 13:39:23 2016 A2: 0
  13. Mon Feb 15 13:39:23 2016 A3: 0
  14. Mon Feb 15 13:39:23 2016 A4: 0
  15. Mon Feb 15 13:39:23 2016 A5: 1
  16. Mon Feb 15 13:39:23 2016 skew 2.37, size 6.842e-016, alpha 0.711, combined = 7.800e-013 rroots = 1
  17. Mon Feb 15 13:39:23 2016
  18. Mon Feb 15 13:39:23 2016 commencing relation filtering
  19. Mon Feb 15 13:39:23 2016 setting target matrix density to 116.0
  20. Mon Feb 15 13:39:23 2016 estimated available RAM is 8098.7 MB
  21. Mon Feb 15 13:39:23 2016 commencing duplicate removal, pass 1
  22. Mon Feb 15 13:42:31 2016 error -15 reading relation 11355602
  23. Mon Feb 15 13:43:55 2016 error -15 reading relation 17112915
  24. Mon Feb 15 13:43:56 2016 error -15 reading relation 17134107
  25. Mon Feb 15 13:43:58 2016 error -9 reading relation 17302448
  26. Mon Feb 15 13:44:00 2016 error -15 reading relation 17396253
  27. Mon Feb 15 13:45:07 2016 error -9 reading relation 21693535
  28. Mon Feb 15 13:46:16 2016 error -15 reading relation 26107137
  29. Mon Feb 15 13:46:38 2016 error -15 reading relation 27578924
  30. Mon Feb 15 13:48:49 2016 error -9 reading relation 35870633
  31. Mon Feb 15 13:49:08 2016 error -15 reading relation 37052845
  32. Mon Feb 15 13:50:22 2016 error -9 reading relation 41720476
  33. Mon Feb 15 13:50:39 2016 error -9 reading relation 42755676
  34. Mon Feb 15 13:50:42 2016 error -15 reading relation 42943808
  35. Mon Feb 15 13:50:43 2016 error -9 reading relation 42974294
  36. Mon Feb 15 13:51:24 2016 error -5 reading relation 45654057
  37. Mon Feb 15 13:51:27 2016 error -9 reading relation 45871376
  38. Mon Feb 15 13:51:43 2016 error -9 reading relation 46935878
  39. Mon Feb 15 13:52:10 2016 error -9 reading relation 48823564
  40. Mon Feb 15 13:52:26 2016 error -9 reading relation 49915973
  41. Mon Feb 15 13:53:25 2016 error -9 reading relation 53888118
  42. Mon Feb 15 13:53:30 2016 error -9 reading relation 54184978
  43. Mon Feb 15 13:55:37 2016 error -9 reading relation 62017784
  44. Mon Feb 15 13:55:42 2016 error -9 reading relation 62314231
  45. Mon Feb 15 13:56:08 2016 error -15 reading relation 63899678
  46. Mon Feb 15 13:56:22 2016 error -9 reading relation 64805863
  47. Mon Feb 15 13:56:31 2016 error -15 reading relation 65465063
  48. Mon Feb 15 13:56:31 2016 error -15 reading relation 65467029
  49. Mon Feb 15 13:56:31 2016 error -9 reading relation 65467261
  50. Mon Feb 15 13:56:31 2016 error -9 reading relation 65470615
  51. Mon Feb 15 13:56:31 2016 error -9 reading relation 65511350
  52. Mon Feb 15 13:56:45 2016 error -9 reading relation 66347368
  53. Mon Feb 15 13:56:45 2016 error -15 reading relation 66348122
  54. Mon Feb 15 13:56:46 2016 error -15 reading relation 66352665
  55. Mon Feb 15 13:56:46 2016 error -15 reading relation 66352742
  56. Mon Feb 15 13:58:11 2016 error -15 reading relation 71566788
  57. Mon Feb 15 13:58:17 2016 error -9 reading relation 71965805
  58. Mon Feb 15 13:58:23 2016 error -9 reading relation 72319449
  59. Mon Feb 15 13:58:23 2016 error -1 reading relation 72334897
  60. Mon Feb 15 13:58:58 2016 error -15 reading relation 74748209
  61. Mon Feb 15 13:59:03 2016 error -5 reading relation 75078463
  62. Mon Feb 15 13:59:08 2016 error -9 reading relation 75528136
  63. Mon Feb 15 13:59:13 2016 error -9 reading relation 75844128
  64. Mon Feb 15 13:59:13 2016 error -9 reading relation 75889647
  65. Mon Feb 15 13:59:16 2016 error -9 reading relation 76043855
  66. Mon Feb 15 14:00:38 2016 error -9 reading relation 81644553
  67. Mon Feb 15 14:02:09 2016 error -9 reading relation 88186298
  68. Mon Feb 15 14:04:35 2016 error -9 reading relation 98528673
  69. Mon Feb 15 14:04:53 2016 error -15 reading relation 99800981
  70. Mon Feb 15 14:06:50 2016 error -15 reading relation 108337729
  71. Mon Feb 15 14:06:50 2016 error -15 reading relation 108346405
  72. Mon Feb 15 14:07:07 2016 error -9 reading relation 109693696
  73. Mon Feb 15 14:07:39 2016 error -1 reading relation 112679992
  74. Mon Feb 15 14:07:42 2016 error -9 reading relation 113034314
  75. Mon Feb 15 14:08:00 2016 error -9 reading relation 114552075
  76. Mon Feb 15 14:08:00 2016 error -15 reading relation 114555409
  77. Mon Feb 15 14:08:00 2016 error -15 reading relation 114562709
  78. Mon Feb 15 14:08:11 2016 skipped 12 relations with b > 2^32
  79. Mon Feb 15 14:08:11 2016 found 21291696 hash collisions in 115585098 relations
  80. Mon Feb 15 14:09:38 2016 added 731993 free relations
  81. Mon Feb 15 14:09:38 2016 commencing duplicate removal, pass 2
  82. Mon Feb 15 14:11:52 2016 found 20427949 duplicates and 95889142 unique relations
  83. Mon Feb 15 14:11:52 2016 memory use: 660.8 MB
  84. Mon Feb 15 14:11:52 2016 reading ideals above 99942400
  85. Mon Feb 15 14:11:52 2016 commencing singleton removal, initial pass
  86. Mon Feb 15 14:38:16 2016 memory use: 1506.0 MB
  87. Mon Feb 15 14:38:17 2016 reading all ideals from disk
  88. Mon Feb 15 14:38:31 2016 memory use: 1555.5 MB
  89. Mon Feb 15 14:38:35 2016 commencing in-memory singleton removal
  90. Mon Feb 15 14:38:39 2016 begin with 95889142 relations and 78901128 unique ideals
  91. Mon Feb 15 14:39:20 2016 reduce to 60176700 relations and 39373773 ideals in 13 passes
  92. Mon Feb 15 14:39:20 2016 max relations containing the same ideal: 31
  93. Mon Feb 15 14:39:27 2016 reading ideals above 720000
  94. Mon Feb 15 14:39:27 2016 commencing singleton removal, initial pass
  95. Mon Feb 15 14:58:29 2016 memory use: 1378.0 MB
  96. Mon Feb 15 14:58:29 2016 reading all ideals from disk
  97. Mon Feb 15 14:58:45 2016 memory use: 2280.0 MB
  98. Mon Feb 15 14:58:54 2016 keeping 50566978 ideals with weight <= 200, target excess is 317746
  99. Mon Feb 15 14:59:03 2016 commencing in-memory singleton removal
  100. Mon Feb 15 14:59:10 2016 begin with 60176702 relations and 50566978 unique ideals
  101. Mon Feb 15 15:00:29 2016 reduce to 60117088 relations and 50507340 ideals in 11 passes
  102. Mon Feb 15 15:00:29 2016 max relations containing the same ideal: 200
  103. Mon Feb 15 15:01:06 2016 removing 5693905 relations and 4693905 ideals in 1000000 cliques
  104. Mon Feb 15 15:01:08 2016 commencing in-memory singleton removal
  105. Mon Feb 15 15:01:15 2016 begin with 54423183 relations and 50507340 unique ideals
  106. Mon Feb 15 15:02:06 2016 reduce to 54017985 relations and 45399812 ideals in 8 passes
  107. Mon Feb 15 15:02:06 2016 max relations containing the same ideal: 194
  108. Mon Feb 15 15:02:40 2016 removing 4353339 relations and 3353339 ideals in 1000000 cliques
  109. Mon Feb 15 15:02:42 2016 commencing in-memory singleton removal
  110. Mon Feb 15 15:02:48 2016 begin with 49664646 relations and 45399812 unique ideals
  111. Mon Feb 15 15:03:29 2016 reduce to 49391865 relations and 41768777 ideals in 7 passes
  112. Mon Feb 15 15:03:29 2016 max relations containing the same ideal: 186
  113. Mon Feb 15 15:03:59 2016 removing 3954929 relations and 2954929 ideals in 1000000 cliques
  114. Mon Feb 15 15:04:01 2016 commencing in-memory singleton removal
  115. Mon Feb 15 15:04:07 2016 begin with 45436936 relations and 41768777 unique ideals
  116. Mon Feb 15 15:04:48 2016 reduce to 45196150 relations and 38568514 ideals in 8 passes
  117. Mon Feb 15 15:04:48 2016 max relations containing the same ideal: 175
  118. Mon Feb 15 15:05:17 2016 removing 3745977 relations and 2745977 ideals in 1000000 cliques
  119. Mon Feb 15 15:05:19 2016 commencing in-memory singleton removal
  120. Mon Feb 15 15:05:24 2016 begin with 41450173 relations and 38568514 unique ideals
  121. Mon Feb 15 15:05:57 2016 reduce to 41219091 relations and 35586787 ideals in 7 passes
  122. Mon Feb 15 15:05:57 2016 max relations containing the same ideal: 165
  123. Mon Feb 15 15:06:23 2016 removing 3618848 relations and 2618848 ideals in 1000000 cliques
  124. Mon Feb 15 15:06:24 2016 commencing in-memory singleton removal
  125. Mon Feb 15 15:06:29 2016 begin with 37600243 relations and 35586787 unique ideals
  126. Mon Feb 15 15:06:58 2016 reduce to 37369509 relations and 32732223 ideals in 7 passes
  127. Mon Feb 15 15:06:58 2016 max relations containing the same ideal: 154
  128. Mon Feb 15 15:07:22 2016 removing 3536908 relations and 2536908 ideals in 1000000 cliques
  129. Mon Feb 15 15:07:23 2016 commencing in-memory singleton removal
  130. Mon Feb 15 15:07:27 2016 begin with 33832601 relations and 32732223 unique ideals
  131. Mon Feb 15 15:07:54 2016 reduce to 33597259 relations and 29954487 ideals in 7 passes
  132. Mon Feb 15 15:07:54 2016 max relations containing the same ideal: 144
  133. Mon Feb 15 15:08:15 2016 removing 3480383 relations and 2480383 ideals in 1000000 cliques
  134. Mon Feb 15 15:08:17 2016 commencing in-memory singleton removal
  135. Mon Feb 15 15:08:20 2016 begin with 30116876 relations and 29954487 unique ideals
  136. Mon Feb 15 15:08:43 2016 reduce to 29868063 relations and 27219064 ideals in 7 passes
  137. Mon Feb 15 15:08:43 2016 max relations containing the same ideal: 134
  138. Mon Feb 15 15:09:02 2016 removing 3439264 relations and 2439264 ideals in 1000000 cliques
  139. Mon Feb 15 15:09:03 2016 commencing in-memory singleton removal
  140. Mon Feb 15 15:09:06 2016 begin with 26428799 relations and 27219064 unique ideals
  141. Mon Feb 15 15:09:29 2016 reduce to 26160099 relations and 24503521 ideals in 8 passes
  142. Mon Feb 15 15:09:29 2016 max relations containing the same ideal: 121
  143. Mon Feb 15 15:09:46 2016 removing 3417283 relations and 2417283 ideals in 1000000 cliques
  144. Mon Feb 15 15:09:47 2016 commencing in-memory singleton removal
  145. Mon Feb 15 15:09:50 2016 begin with 22742816 relations and 24503521 unique ideals
  146. Mon Feb 15 15:10:09 2016 reduce to 22441733 relations and 21775719 ideals in 8 passes
  147. Mon Feb 15 15:10:09 2016 max relations containing the same ideal: 112
  148. Mon Feb 15 15:10:23 2016 removing 1293675 relations and 996247 ideals in 297428 cliques
  149. Mon Feb 15 15:10:24 2016 commencing in-memory singleton removal
  150. Mon Feb 15 15:10:26 2016 begin with 21148058 relations and 21775719 unique ideals
  151. Mon Feb 15 15:10:39 2016 reduce to 21101153 relations and 20732034 ideals in 6 passes
  152. Mon Feb 15 15:10:39 2016 max relations containing the same ideal: 105
  153. Mon Feb 15 15:10:58 2016 relations with 0 large ideals: 6302
  154. Mon Feb 15 15:10:58 2016 relations with 1 large ideals: 1748
  155. Mon Feb 15 15:10:58 2016 relations with 2 large ideals: 31766
  156. Mon Feb 15 15:10:58 2016 relations with 3 large ideals: 263329
  157. Mon Feb 15 15:10:58 2016 relations with 4 large ideals: 1182220
  158. Mon Feb 15 15:10:58 2016 relations with 5 large ideals: 3162088
  159. Mon Feb 15 15:10:58 2016 relations with 6 large ideals: 5456980
  160. Mon Feb 15 15:10:58 2016 relations with 7+ large ideals: 10996720
  161. Mon Feb 15 15:10:58 2016 commencing 2-way merge
  162. Mon Feb 15 15:11:16 2016 reduce to 13986743 relation sets and 13617624 unique ideals
  163. Mon Feb 15 15:11:16 2016 commencing full merge
  164. Mon Feb 15 15:19:06 2016 memory use: 1814.7 MB
  165. Mon Feb 15 15:19:08 2016 found 6415194 cycles, need 6389824
  166. Mon Feb 15 15:19:09 2016 weight of 6389824 cycles is about 741342267 (116.02/cycle)
  167. Mon Feb 15 15:19:09 2016 distribution of cycle lengths:
  168. Mon Feb 15 15:19:09 2016 1 relations: 237302
  169. Mon Feb 15 15:19:09 2016 2 relations: 396417
  170. Mon Feb 15 15:19:09 2016 3 relations: 473901
  171. Mon Feb 15 15:19:09 2016 4 relations: 490330
  172. Mon Feb 15 15:19:09 2016 5 relations: 502163
  173. Mon Feb 15 15:19:09 2016 6 relations: 493409
  174. Mon Feb 15 15:19:09 2016 7 relations: 483117
  175. Mon Feb 15 15:19:09 2016 8 relations: 457109
  176. Mon Feb 15 15:19:09 2016 9 relations: 427035
  177. Mon Feb 15 15:19:09 2016 10+ relations: 2429041
  178. Mon Feb 15 15:19:09 2016 heaviest cycle: 28 relations
  179. Mon Feb 15 15:19:10 2016 commencing cycle optimization
  180. Mon Feb 15 15:19:25 2016 start with 54869364 relations
  181. Mon Feb 15 15:22:54 2016 pruned 2556293 relations
  182. Mon Feb 15 15:22:54 2016 memory use: 1447.2 MB
  183. Mon Feb 15 15:22:54 2016 distribution of cycle lengths:
  184. Mon Feb 15 15:22:54 2016 1 relations: 237302
  185. Mon Feb 15 15:22:54 2016 2 relations: 407102
  186. Mon Feb 15 15:22:54 2016 3 relations: 495536
  187. Mon Feb 15 15:22:54 2016 4 relations: 512495
  188. Mon Feb 15 15:22:54 2016 5 relations: 528728
  189. Mon Feb 15 15:22:54 2016 6 relations: 517881
  190. Mon Feb 15 15:22:54 2016 7 relations: 507824
  191. Mon Feb 15 15:22:54 2016 8 relations: 478555
  192. Mon Feb 15 15:22:54 2016 9 relations: 445309
  193. Mon Feb 15 15:22:54 2016 10+ relations: 2259092
  194. Mon Feb 15 15:22:54 2016 heaviest cycle: 28 relations
  195. Mon Feb 15 15:23:06 2016 RelProcTime: 6223
  196. Mon Feb 15 15:23:06 2016
  197. Mon Feb 15 15:23:06 2016 commencing linear algebra
  198. Mon Feb 15 15:23:08 2016 read 6389824 cycles
  199. Mon Feb 15 15:23:26 2016 cycles contain 20914264 unique relations
  200. Mon Feb 15 15:29:23 2016 read 20914264 relations
  201. Mon Feb 15 15:30:15 2016 using 20 quadratic characters above 1073740934
  202. Mon Feb 15 15:32:49 2016 building initial matrix
  203. Mon Feb 15 15:39:50 2016 memory use: 2664.8 MB
  204. Mon Feb 15 15:40:07 2016 read 6389824 cycles
  205. Mon Feb 15 15:40:10 2016 matrix is 6389647 x 6389824 (2904.7 MB) with weight 837002627 (130.99/col)
  206. Mon Feb 15 15:40:10 2016 sparse part has weight 691152887 (108.16/col)
  207. Mon Feb 15 15:42:14 2016 filtering completed in 2 passes
  208. Mon Feb 15 15:42:17 2016 matrix is 6389582 x 6389759 (2904.7 MB) with weight 837000240 (130.99/col)
  209. Mon Feb 15 15:42:17 2016 sparse part has weight 691152028 (108.17/col)
  210. Mon Feb 15 15:43:11 2016 matrix starts at (0, 0)
  211. Mon Feb 15 15:43:14 2016 matrix is 6389582 x 6389759 (2904.7 MB) with weight 837000240 (130.99/col)
  212. Mon Feb 15 15:43:14 2016 sparse part has weight 691152028 (108.17/col)
  213. Mon Feb 15 15:43:14 2016 saving the first 48 matrix rows for later
  214. Mon Feb 15 15:43:17 2016 matrix includes 64 packed rows
  215. Mon Feb 15 15:43:19 2016 matrix is 6389534 x 6389759 (2782.5 MB) with weight 717244380 (112.25/col)
  216. Mon Feb 15 15:43:19 2016 sparse part has weight 665513633 (104.15/col)
  217. Mon Feb 15 15:43:19 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  218. Mon Feb 15 15:44:18 2016 commencing Lanczos iteration (4 threads)
  219. Mon Feb 15 15:44:18 2016 memory use: 2340.6 MB
  220. Mon Feb 15 15:45:03 2016 linear algebra at 0.0%, ETA 50h11m
  221. Mon Feb 15 15:45:17 2016 checkpointing every 130000 dimensions
  222. Wed Feb 17 23:02:43 2016 lanczos halted after 101046 iterations (dim = 6389532)
  223. Wed Feb 17 23:02:55 2016 recovered 37 nontrivial dependencies
  224. Wed Feb 17 23:03:00 2016 BLanczosTime: 200394
  225. Wed Feb 17 23:03:00 2016
  226. Wed Feb 17 23:03:00 2016 commencing square root phase
  227. Wed Feb 17 23:03:00 2016 handling dependencies 1 to 64
  228. Wed Feb 17 23:03:00 2016 reading relations for dependency 1
  229. Wed Feb 17 23:03:02 2016 read 3195104 cycles
  230. Wed Feb 17 23:03:10 2016 cycles contain 10458538 unique relations
  231. Wed Feb 17 23:06:26 2016 read 10458538 relations
  232. Wed Feb 17 23:07:51 2016 multiplying 10458538 relations
  233. Wed Feb 17 23:18:04 2016 multiply complete, coefficients have about 267.05 million bits
  234. Wed Feb 17 23:18:09 2016 initial square root is modulo 61961
  235. Wed Feb 17 23:30:46 2016 GCD is N, no factor found
  236. Wed Feb 17 23:30:46 2016 reading relations for dependency 2
  237. Wed Feb 17 23:30:49 2016 read 3193791 cycles
  238. Wed Feb 17 23:30:57 2016 cycles contain 10458802 unique relations
  239. Wed Feb 17 23:34:13 2016 read 10458802 relations
  240. Wed Feb 17 23:35:38 2016 multiplying 10458802 relations
  241. Wed Feb 17 23:45:52 2016 multiply complete, coefficients have about 267.06 million bits
  242. Wed Feb 17 23:45:57 2016 initial square root is modulo 61961
  243. Wed Feb 17 23:58:37 2016 GCD is 1, no factor found
  244. Wed Feb 17 23:58:37 2016 reading relations for dependency 3
  245. Wed Feb 17 23:58:45 2016 read 3192743 cycles
  246. Wed Feb 17 23:58:54 2016 cycles contain 10452786 unique relations
  247. Thu Feb 18 00:02:35 2016 read 10452786 relations
  248. Thu Feb 18 00:04:00 2016 multiplying 10452786 relations
  249. Thu Feb 18 00:14:12 2016 multiply complete, coefficients have about 266.91 million bits
  250. Thu Feb 18 00:14:17 2016 initial square root is modulo 61631
  251. Thu Feb 18 00:26:53 2016 sqrtTime: 5033
  252. Thu Feb 18 00:26:53 2016 prp76 factor: 9522934190484078560627227170020897016348276436122156113726254873334429818369
  253. Thu Feb 18 00:26:53 2016 prp98 factor: 77093168327668050465441236212732541916869933675177640726485696867474680362362047477567204019987107
  254. Thu Feb 18 00:26:53 2016 elapsed time 58:47:32
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