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C174_130_118

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Apr 20th, 2016
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  1. Sat Apr 16 09:34:50 2016
  2. Sat Apr 16 09:34:50 2016
  3. Sat Apr 16 09:34:50 2016 Msieve v. 1.52 (SVN unknown)
  4. Sat Apr 16 09:34:50 2016 random seeds: 6d88a0c4 7c4c1235
  5. Sat Apr 16 09:34:50 2016 factoring 374686718548870079723169353997235493257037110674617127820183555223382891263502149932854168568558393660056600983184076652749346893420077839416137503565084216997048516866633173 (174 digits)
  6. Sat Apr 16 09:34:51 2016 no P-1/P+1/ECM available, skipping
  7. Sat Apr 16 09:34:51 2016 commencing number field sieve (174-digit input)
  8. Sat Apr 16 09:34:51 2016 R0: -44077027040549725274315525883091604342174273764
  9. Sat Apr 16 09:34:51 2016 R1: 497745340030349688137123548984527587890625
  10. Sat Apr 16 09:34:51 2016 A0: 274625
  11. Sat Apr 16 09:34:51 2016 A1: 0
  12. Sat Apr 16 09:34:51 2016 A2: 0
  13. Sat Apr 16 09:34:51 2016 A3: 0
  14. Sat Apr 16 09:34:51 2016 A4: 0
  15. Sat Apr 16 09:34:51 2016 A5: 4
  16. Sat Apr 16 09:34:51 2016 skew 1.00, size 1.902e-016, alpha -0.282, combined = 2.615e-013 rroots = 1
  17. Sat Apr 16 09:34:51 2016
  18. Sat Apr 16 09:34:51 2016 commencing relation filtering
  19. Sat Apr 16 09:34:51 2016 setting target matrix density to 95.0
  20. Sat Apr 16 09:34:51 2016 estimated available RAM is 16335.3 MB
  21. Sat Apr 16 09:34:51 2016 commencing duplicate removal, pass 1
  22. Sat Apr 16 09:37:26 2016 error -15 reading relation 15176105
  23. Sat Apr 16 09:46:25 2016 error -9 reading relation 70676638
  24. Sat Apr 16 09:46:54 2016 error -9 reading relation 73644958
  25. Sat Apr 16 09:47:39 2016 error -15 reading relation 78320064
  26. Sat Apr 16 09:47:41 2016 error -15 reading relation 78471114
  27. Sat Apr 16 09:47:41 2016 error -9 reading relation 78471348
  28. Sat Apr 16 09:48:20 2016 error -15 reading relation 82395566
  29. Sat Apr 16 09:50:03 2016 error -9 reading relation 93193141
  30. Sat Apr 16 09:50:46 2016 error -5 reading relation 98139142
  31. Sat Apr 16 09:50:47 2016 error -11 reading relation 98156474
  32. Sat Apr 16 09:50:50 2016 error -15 reading relation 98543512
  33. Sat Apr 16 09:51:02 2016 error -15 reading relation 99926024
  34. Sat Apr 16 09:51:15 2016 error -9 reading relation 101328889
  35. Sat Apr 16 09:51:20 2016 error -1 reading relation 101882240
  36. Sat Apr 16 09:51:28 2016 error -9 reading relation 102781252
  37. Sat Apr 16 09:51:29 2016 error -1 reading relation 102903837
  38. Sat Apr 16 09:51:30 2016 error -15 reading relation 102927302
  39. Sat Apr 16 09:51:30 2016 error -9 reading relation 102927377
  40. Sat Apr 16 09:51:30 2016 error -15 reading relation 102938955
  41. Sat Apr 16 09:51:30 2016 error -9 reading relation 102939030
  42. Sat Apr 16 09:51:30 2016 error -1 reading relation 102981989
  43. Sat Apr 16 09:51:31 2016 error -9 reading relation 103028983
  44. Sat Apr 16 09:51:31 2016 error -15 reading relation 103029059
  45. Sat Apr 16 09:51:40 2016 error -1 reading relation 104003548
  46. Sat Apr 16 09:51:59 2016 error -9 reading relation 106063116
  47. Sat Apr 16 09:51:59 2016 error -9 reading relation 106128806
  48. Sat Apr 16 09:51:59 2016 error -9 reading relation 106141009
  49. Sat Apr 16 09:51:59 2016 error -9 reading relation 106152886
  50. Sat Apr 16 09:51:59 2016 error -9 reading relation 106158409
  51. Sat Apr 16 09:52:06 2016 error -15 reading relation 106866111
  52. Sat Apr 16 09:52:07 2016 error -9 reading relation 107044559
  53. Sat Apr 16 09:52:07 2016 error -9 reading relation 107081856
  54. Sat Apr 16 09:52:22 2016 error -9 reading relation 108753932
  55. Sat Apr 16 09:52:22 2016 error -9 reading relation 108775103
  56. Sat Apr 16 09:52:22 2016 error -9 reading relation 108801552
  57. Sat Apr 16 09:52:22 2016 error -15 reading relation 108815995
  58. Sat Apr 16 09:52:22 2016 error -9 reading relation 108830612
  59. Sat Apr 16 09:52:22 2016 error -9 reading relation 108832412
  60. Sat Apr 16 09:52:56 2016 error -15 reading relation 112327240
  61. Sat Apr 16 09:52:57 2016 error -15 reading relation 112422730
  62. Sat Apr 16 09:53:35 2016 error -9 reading relation 116474892
  63. Sat Apr 16 09:53:35 2016 error -15 reading relation 116499597
  64. Sat Apr 16 09:53:37 2016 error -15 reading relation 116724746
  65. Sat Apr 16 09:53:37 2016 error -9 reading relation 116725880
  66. Sat Apr 16 09:53:53 2016 skipped 4 relations with b > 2^32
  67. Sat Apr 16 09:53:53 2016 found 25496183 hash collisions in 117671995 relations
  68. Sat Apr 16 09:54:40 2016 commencing duplicate removal, pass 2
  69. Sat Apr 16 09:55:33 2016 found 26324837 duplicates and 91347158 unique relations
  70. Sat Apr 16 09:55:33 2016 memory use: 660.8 MB
  71. Sat Apr 16 09:55:33 2016 reading ideals above 105709568
  72. Sat Apr 16 09:55:33 2016 commencing singleton removal, initial pass
  73. Sat Apr 16 10:11:50 2016 memory use: 1506.0 MB
  74. Sat Apr 16 10:11:50 2016 reading all ideals from disk
  75. Sat Apr 16 10:11:51 2016 memory use: 1587.7 MB
  76. Sat Apr 16 10:11:53 2016 commencing in-memory singleton removal
  77. Sat Apr 16 10:11:56 2016 begin with 91347158 relations and 77979164 unique ideals
  78. Sat Apr 16 10:12:27 2016 reduce to 54693909 relations and 37166580 ideals in 15 passes
  79. Sat Apr 16 10:12:27 2016 max relations containing the same ideal: 29
  80. Sat Apr 16 10:12:31 2016 reading ideals above 720000
  81. Sat Apr 16 10:12:31 2016 commencing singleton removal, initial pass
  82. Sat Apr 16 10:25:34 2016 memory use: 1378.0 MB
  83. Sat Apr 16 10:25:34 2016 reading all ideals from disk
  84. Sat Apr 16 10:25:52 2016 memory use: 2106.8 MB
  85. Sat Apr 16 10:25:57 2016 keeping 49006215 ideals with weight <= 200, target excess is 293737
  86. Sat Apr 16 10:26:02 2016 commencing in-memory singleton removal
  87. Sat Apr 16 10:26:07 2016 begin with 54693912 relations and 49006215 unique ideals
  88. Sat Apr 16 10:26:53 2016 reduce to 54587627 relations and 48899858 ideals in 10 passes
  89. Sat Apr 16 10:26:53 2016 max relations containing the same ideal: 200
  90. Sat Apr 16 10:27:17 2016 removing 6026093 relations and 5026093 ideals in 1000000 cliques
  91. Sat Apr 16 10:27:18 2016 commencing in-memory singleton removal
  92. Sat Apr 16 10:27:22 2016 begin with 48561534 relations and 48899858 unique ideals
  93. Sat Apr 16 10:27:59 2016 reduce to 48076529 relations and 43377638 ideals in 9 passes
  94. Sat Apr 16 10:27:59 2016 max relations containing the same ideal: 193
  95. Sat Apr 16 10:28:20 2016 removing 4580876 relations and 3580876 ideals in 1000000 cliques
  96. Sat Apr 16 10:28:21 2016 commencing in-memory singleton removal
  97. Sat Apr 16 10:28:24 2016 begin with 43495653 relations and 43377638 unique ideals
  98. Sat Apr 16 10:28:54 2016 reduce to 43175302 relations and 39469717 ideals in 8 passes
  99. Sat Apr 16 10:28:54 2016 max relations containing the same ideal: 183
  100. Sat Apr 16 10:29:13 2016 removing 4135717 relations and 3135717 ideals in 1000000 cliques
  101. Sat Apr 16 10:29:14 2016 commencing in-memory singleton removal
  102. Sat Apr 16 10:29:17 2016 begin with 39039585 relations and 39469717 unique ideals
  103. Sat Apr 16 10:29:40 2016 reduce to 38751085 relations and 36039416 ideals in 7 passes
  104. Sat Apr 16 10:29:40 2016 max relations containing the same ideal: 170
  105. Sat Apr 16 10:29:57 2016 removing 3902674 relations and 2902674 ideals in 1000000 cliques
  106. Sat Apr 16 10:29:58 2016 commencing in-memory singleton removal
  107. Sat Apr 16 10:30:00 2016 begin with 34848411 relations and 36039416 unique ideals
  108. Sat Apr 16 10:30:29 2016 reduce to 34566335 relations and 32848327 ideals in 10 passes
  109. Sat Apr 16 10:30:29 2016 max relations containing the same ideal: 155
  110. Sat Apr 16 10:30:44 2016 removing 3760863 relations and 2760863 ideals in 1000000 cliques
  111. Sat Apr 16 10:30:45 2016 commencing in-memory singleton removal
  112. Sat Apr 16 10:30:47 2016 begin with 30805472 relations and 32848327 unique ideals
  113. Sat Apr 16 10:31:07 2016 reduce to 30511469 relations and 29786136 ideals in 8 passes
  114. Sat Apr 16 10:31:07 2016 max relations containing the same ideal: 144
  115. Sat Apr 16 10:31:21 2016 removing 1713502 relations and 1328904 ideals in 384598 cliques
  116. Sat Apr 16 10:31:22 2016 commencing in-memory singleton removal
  117. Sat Apr 16 10:31:24 2016 begin with 28797967 relations and 29786136 unique ideals
  118. Sat Apr 16 10:31:40 2016 reduce to 28734570 relations and 28393120 ideals in 7 passes
  119. Sat Apr 16 10:31:40 2016 max relations containing the same ideal: 137
  120. Sat Apr 16 10:31:57 2016 relations with 0 large ideals: 6058
  121. Sat Apr 16 10:31:57 2016 relations with 1 large ideals: 1149
  122. Sat Apr 16 10:31:57 2016 relations with 2 large ideals: 20761
  123. Sat Apr 16 10:31:57 2016 relations with 3 large ideals: 193613
  124. Sat Apr 16 10:31:57 2016 relations with 4 large ideals: 1005609
  125. Sat Apr 16 10:31:57 2016 relations with 5 large ideals: 3145341
  126. Sat Apr 16 10:31:57 2016 relations with 6 large ideals: 6477587
  127. Sat Apr 16 10:31:57 2016 relations with 7+ large ideals: 17884452
  128. Sat Apr 16 10:31:57 2016 commencing 2-way merge
  129. Sat Apr 16 10:32:15 2016 reduce to 19352790 relation sets and 19011340 unique ideals
  130. Sat Apr 16 10:32:15 2016 commencing full merge
  131. Sat Apr 16 10:38:34 2016 memory use: 2362.1 MB
  132. Sat Apr 16 10:38:37 2016 found 9347051 cycles, need 9305540
  133. Sat Apr 16 10:38:37 2016 weight of 9305540 cycles is about 884404357 (95.04/cycle)
  134. Sat Apr 16 10:38:37 2016 distribution of cycle lengths:
  135. Sat Apr 16 10:38:37 2016 1 relations: 555140
  136. Sat Apr 16 10:38:37 2016 2 relations: 808470
  137. Sat Apr 16 10:38:37 2016 3 relations: 916234
  138. Sat Apr 16 10:38:37 2016 4 relations: 901759
  139. Sat Apr 16 10:38:37 2016 5 relations: 879795
  140. Sat Apr 16 10:38:37 2016 6 relations: 815406
  141. Sat Apr 16 10:38:37 2016 7 relations: 753432
  142. Sat Apr 16 10:38:37 2016 8 relations: 673516
  143. Sat Apr 16 10:38:37 2016 9 relations: 593810
  144. Sat Apr 16 10:38:37 2016 10+ relations: 2407978
  145. Sat Apr 16 10:38:37 2016 heaviest cycle: 26 relations
  146. Sat Apr 16 10:38:39 2016 commencing cycle optimization
  147. Sat Apr 16 10:38:52 2016 start with 65109032 relations
  148. Sat Apr 16 10:41:08 2016 pruned 2410351 relations
  149. Sat Apr 16 10:41:08 2016 memory use: 1876.1 MB
  150. Sat Apr 16 10:41:08 2016 distribution of cycle lengths:
  151. Sat Apr 16 10:41:08 2016 1 relations: 555140
  152. Sat Apr 16 10:41:08 2016 2 relations: 829438
  153. Sat Apr 16 10:41:08 2016 3 relations: 957674
  154. Sat Apr 16 10:41:08 2016 4 relations: 937138
  155. Sat Apr 16 10:41:08 2016 5 relations: 917180
  156. Sat Apr 16 10:41:08 2016 6 relations: 843564
  157. Sat Apr 16 10:41:08 2016 7 relations: 777850
  158. Sat Apr 16 10:41:08 2016 8 relations: 688218
  159. Sat Apr 16 10:41:08 2016 9 relations: 601577
  160. Sat Apr 16 10:41:08 2016 10+ relations: 2197761
  161. Sat Apr 16 10:41:08 2016 heaviest cycle: 25 relations
  162. Sat Apr 16 10:41:22 2016 RelProcTime: 3991
  163. Sat Apr 16 10:41:22 2016
  164. Sat Apr 16 10:41:22 2016 commencing linear algebra
  165. Sat Apr 16 10:41:24 2016 read 9305540 cycles
  166. Sat Apr 16 10:41:40 2016 cycles contain 28541165 unique relations
  167. Sat Apr 16 10:46:58 2016 read 28541165 relations
  168. Sat Apr 16 10:47:41 2016 using 20 quadratic characters above 1073741672
  169. Sat Apr 16 10:49:45 2016 building initial matrix
  170. Sat Apr 16 10:54:49 2016 memory use: 3703.7 MB
  171. Sat Apr 16 10:55:29 2016 read 9305540 cycles
  172. Sat Apr 16 10:55:31 2016 matrix is 9305363 x 9305540 (3592.3 MB) with weight 1046629935 (112.47/col)
  173. Sat Apr 16 10:55:31 2016 sparse part has weight 839351739 (90.20/col)
  174. Sat Apr 16 10:57:08 2016 filtering completed in 2 passes
  175. Sat Apr 16 10:57:11 2016 matrix is 9304984 x 9305161 (3592.3 MB) with weight 1046617842 (112.48/col)
  176. Sat Apr 16 10:57:11 2016 sparse part has weight 839347949 (90.20/col)
  177. Sat Apr 16 10:58:08 2016 matrix starts at (0, 0)
  178. Sat Apr 16 10:58:11 2016 matrix is 9304984 x 9305161 (3592.3 MB) with weight 1046617842 (112.48/col)
  179. Sat Apr 16 10:58:11 2016 sparse part has weight 839347949 (90.20/col)
  180. Sat Apr 16 10:58:11 2016 saving the first 48 matrix rows for later
  181. Sat Apr 16 10:58:14 2016 matrix includes 64 packed rows
  182. Sat Apr 16 10:58:15 2016 matrix is 9304936 x 9305161 (3436.8 MB) with weight 872473633 (93.76/col)
  183. Sat Apr 16 10:58:15 2016 sparse part has weight 807896438 (86.82/col)
  184. Sat Apr 16 10:58:16 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  185. Sat Apr 16 10:59:01 2016 commencing Lanczos iteration (4 threads)
  186. Sat Apr 16 10:59:01 2016 memory use: 2885.2 MB
  187. Sat Apr 16 10:59:38 2016 linear algebra at 0.0%, ETA 59h37m
  188. Sat Apr 16 10:59:50 2016 checkpointing every 160000 dimensions
  189. Mon Apr 18 23:53:01 2016 lanczos halted after 147148 iterations (dim = 9304935)
  190. Mon Apr 18 23:53:23 2016 recovered 38 nontrivial dependencies
  191. Mon Apr 18 23:53:28 2016 BLanczosTime: 220326
  192. Mon Apr 18 23:53:28 2016
  193. Mon Apr 18 23:53:28 2016 commencing square root phase
  194. Mon Apr 18 23:53:28 2016 handling dependencies 1 to 64
  195. Mon Apr 18 23:53:28 2016 reading relations for dependency 1
  196. Mon Apr 18 23:53:31 2016 read 4651173 cycles
  197. Mon Apr 18 23:53:38 2016 cycles contain 14265416 unique relations
  198. Mon Apr 18 23:56:37 2016 read 14265416 relations
  199. Mon Apr 18 23:57:55 2016 multiplying 14265416 relations
  200. Tue Apr 19 00:07:32 2016 multiply complete, coefficients have about 410.67 million bits
  201. Tue Apr 19 00:07:36 2016 initial square root is modulo 23378161
  202. Tue Apr 19 00:20:29 2016 GCD is 1, no factor found
  203. Tue Apr 19 00:20:29 2016 reading relations for dependency 2
  204. Tue Apr 19 00:20:31 2016 read 4652879 cycles
  205. Tue Apr 19 00:20:38 2016 cycles contain 14274410 unique relations
  206. Tue Apr 19 00:23:34 2016 read 14274410 relations
  207. Tue Apr 19 00:24:52 2016 multiplying 14274410 relations
  208. Tue Apr 19 00:34:34 2016 multiply complete, coefficients have about 410.94 million bits
  209. Tue Apr 19 00:34:38 2016 initial square root is modulo 23633221
  210. Tue Apr 19 00:47:45 2016 GCD is N, no factor found
  211. Tue Apr 19 00:47:45 2016 reading relations for dependency 3
  212. Tue Apr 19 00:47:48 2016 read 4652272 cycles
  213. Tue Apr 19 00:47:56 2016 cycles contain 14269332 unique relations
  214. Tue Apr 19 00:59:01 2016 read 14269332 relations
  215. Tue Apr 19 01:00:20 2016 multiplying 14269332 relations
  216. Tue Apr 19 01:10:08 2016 multiply complete, coefficients have about 410.80 million bits
  217. Tue Apr 19 01:10:12 2016 initial square root is modulo 23498291
  218. Tue Apr 19 01:23:15 2016 GCD is N, no factor found
  219. Tue Apr 19 01:23:15 2016 reading relations for dependency 4
  220. Tue Apr 19 01:23:18 2016 read 4651557 cycles
  221. Tue Apr 19 01:23:25 2016 cycles contain 14271244 unique relations
  222. Tue Apr 19 01:35:39 2016 read 14271244 relations
  223. Tue Apr 19 01:36:59 2016 multiplying 14271244 relations
  224. Tue Apr 19 01:46:48 2016 multiply complete, coefficients have about 410.85 million bits
  225. Tue Apr 19 01:46:52 2016 initial square root is modulo 23545531
  226. Tue Apr 19 01:59:58 2016 GCD is N, no factor found
  227. Tue Apr 19 01:59:58 2016 reading relations for dependency 5
  228. Tue Apr 19 02:00:00 2016 read 4653751 cycles
  229. Tue Apr 19 02:00:08 2016 cycles contain 14271478 unique relations
  230. Tue Apr 19 02:13:12 2016 read 14271478 relations
  231. Tue Apr 19 02:14:31 2016 multiplying 14271478 relations
  232. Tue Apr 19 02:24:20 2016 multiply complete, coefficients have about 410.86 million bits
  233. Tue Apr 19 02:24:24 2016 initial square root is modulo 23554441
  234. Tue Apr 19 02:37:41 2016 GCD is 1, no factor found
  235. Tue Apr 19 02:37:41 2016 reading relations for dependency 6
  236. Tue Apr 19 02:38:05 2016 read 4650712 cycles
  237. Tue Apr 19 02:38:13 2016 cycles contain 14271932 unique relations
  238. Tue Apr 19 02:54:46 2016 read 14271932 relations
  239. Tue Apr 19 02:56:11 2016 multiplying 14271932 relations
  240. Tue Apr 19 03:06:11 2016 multiply complete, coefficients have about 410.87 million bits
  241. Tue Apr 19 03:06:15 2016 initial square root is modulo 23569171
  242. Tue Apr 19 03:19:40 2016 sqrtTime: 12372
  243. Tue Apr 19 03:19:40 2016 prp64 factor: 7518761874050782249508780979181738408716284710883091227273665493
  244. Tue Apr 19 03:19:40 2016 prp110 factor: 49833566327191734004905063072381845102978755076841293127715207302642349937336163952741162007087622906286901761
  245. Tue Apr 19 03:19:40 2016 elapsed time 65:44:50
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