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Jun 28th, 2015
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  1. Thu Jun 25 21:51:41 2015
  2. Thu Jun 25 21:51:41 2015
  3. Thu Jun 25 21:51:41 2015 Msieve v. 1.53 (SVN 983M)
  4. Thu Jun 25 21:51:41 2015 random seeds: 2b288070 6c1466c7
  5. Thu Jun 25 21:51:41 2015 factoring 32557399580688506391715014819771714321563271807377050087298571079407966308757109210819193102885845604257067447022373106622972835061874801050081901663597823154637498981155658948712146612277330225908551158329456279031368965560397 (227 digits)
  6. Thu Jun 25 21:51:43 2015 no P-1/P+1/ECM available, skipping
  7. Thu Jun 25 21:51:43 2015 commencing number field sieve (227-digit input)
  8. Thu Jun 25 21:51:43 2015 R0: -1110186839798712095956922561687869297687899781239
  9. Thu Jun 25 21:51:43 2015 R1: 450076324318177308578196182359332376871050412032
  10. Thu Jun 25 21:51:43 2015 A0: 13924
  11. Thu Jun 25 21:51:43 2015 A1: 0
  12. Thu Jun 25 21:51:43 2015 A2: 0
  13. Thu Jun 25 21:51:43 2015 A3: 0
  14. Thu Jun 25 21:51:43 2015 A4: 0
  15. Thu Jun 25 21:51:43 2015 A5: 6591
  16. Thu Jun 25 21:51:43 2015 skew 1.00, size 2.294e-017, alpha -0.472, combined = 9.883e-014 rroots = 1
  17. Thu Jun 25 21:51:43 2015
  18. Thu Jun 25 21:51:43 2015 commencing relation filtering
  19. Thu Jun 25 21:51:43 2015 setting target matrix density to 132.0
  20. Thu Jun 25 21:51:43 2015 estimated available RAM is 65426.9 MB
  21. Thu Jun 25 21:51:43 2015 commencing duplicate removal, pass 1
  22. Thu Jun 25 21:54:18 2015 error -9 reading relation 12346207
  23. Thu Jun 25 21:54:18 2015 error -11 reading relation 12346795
  24. Thu Jun 25 22:00:12 2015 error -1 reading relation 40454715
  25. Thu Jun 25 22:00:12 2015 error -9 reading relation 40474351
  26. Thu Jun 25 22:00:12 2015 error -15 reading relation 40483276
  27. Thu Jun 25 22:00:13 2015 error -9 reading relation 40492710
  28. Thu Jun 25 22:01:03 2015 error -9 reading relation 44503552
  29. Thu Jun 25 22:01:03 2015 error -9 reading relation 44522121
  30. Thu Jun 25 22:01:03 2015 error -15 reading relation 44531517
  31. Thu Jun 25 22:01:03 2015 error -9 reading relation 44541284
  32. Thu Jun 25 22:22:32 2015 error -9 reading relation 147296364
  33. Thu Jun 25 22:22:32 2015 error -9 reading relation 147343348
  34. Thu Jun 25 22:39:32 2015 skipped 803 relations with b > 2^32
  35. Thu Jun 25 22:39:32 2015 skipped 11 relations with composite factors
  36. Thu Jun 25 22:39:32 2015 found 42591990 hash collisions in 228627618 relations
  37. Thu Jun 25 22:40:19 2015 added 731102 free relations
  38. Thu Jun 25 22:40:19 2015 commencing duplicate removal, pass 2
  39. Thu Jun 25 22:44:24 2015 found 40938133 duplicates and 188420587 unique relations
  40. Thu Jun 25 22:44:24 2015 memory use: 1321.5 MB
  41. Thu Jun 25 22:44:25 2015 reading ideals above 720000
  42. Thu Jun 25 22:44:25 2015 commencing singleton removal, initial pass
  43. Thu Jun 25 23:19:02 2015 memory use: 5512.0 MB
  44. Thu Jun 25 23:19:02 2015 reading all ideals from disk
  45. Thu Jun 25 23:19:06 2015 memory use: 7650.5 MB
  46. Thu Jun 25 23:19:30 2015 keeping 174034864 ideals with weight <= 200, target excess is 1040249
  47. Thu Jun 25 23:19:55 2015 commencing in-memory singleton removal
  48. Thu Jun 25 23:20:13 2015 begin with 188420587 relations and 174034864 unique ideals
  49. Thu Jun 25 23:23:27 2015 reduce to 119393542 relations and 97763578 ideals in 16 passes
  50. Thu Jun 25 23:23:27 2015 max relations containing the same ideal: 155
  51. Thu Jun 25 23:24:24 2015 removing 11136230 relations and 9136230 ideals in 2000000 cliques
  52. Thu Jun 25 23:24:27 2015 commencing in-memory singleton removal
  53. Thu Jun 25 23:24:38 2015 begin with 108257312 relations and 97763578 unique ideals
  54. Thu Jun 25 23:26:09 2015 reduce to 107499060 relations and 87853477 ideals in 9 passes
  55. Thu Jun 25 23:26:09 2015 max relations containing the same ideal: 144
  56. Thu Jun 25 23:27:01 2015 removing 8473367 relations and 6473367 ideals in 2000000 cliques
  57. Thu Jun 25 23:27:04 2015 commencing in-memory singleton removal
  58. Thu Jun 25 23:27:13 2015 begin with 99025693 relations and 87853477 unique ideals
  59. Thu Jun 25 23:28:26 2015 reduce to 98514057 relations and 80859114 ideals in 8 passes
  60. Thu Jun 25 23:28:26 2015 max relations containing the same ideal: 138
  61. Thu Jun 25 23:29:14 2015 removing 7680191 relations and 5680191 ideals in 2000000 cliques
  62. Thu Jun 25 23:29:17 2015 commencing in-memory singleton removal
  63. Thu Jun 25 23:29:25 2015 begin with 90833866 relations and 80859114 unique ideals
  64. Thu Jun 25 23:30:31 2015 reduce to 90375400 relations and 74711816 ideals in 8 passes
  65. Thu Jun 25 23:30:31 2015 max relations containing the same ideal: 133
  66. Thu Jun 25 23:31:16 2015 removing 7284731 relations and 5284731 ideals in 2000000 cliques
  67. Thu Jun 25 23:31:18 2015 commencing in-memory singleton removal
  68. Thu Jun 25 23:31:26 2015 begin with 83090669 relations and 74711816 unique ideals
  69. Thu Jun 25 23:32:18 2015 reduce to 82649838 relations and 68977783 ideals in 7 passes
  70. Thu Jun 25 23:32:18 2015 max relations containing the same ideal: 125
  71. Thu Jun 25 23:32:59 2015 removing 7046095 relations and 5046095 ideals in 2000000 cliques
  72. Thu Jun 25 23:33:01 2015 commencing in-memory singleton removal
  73. Thu Jun 25 23:33:08 2015 begin with 75603743 relations and 68977783 unique ideals
  74. Thu Jun 25 23:33:55 2015 reduce to 75162091 relations and 63480756 ideals in 7 passes
  75. Thu Jun 25 23:33:55 2015 max relations containing the same ideal: 114
  76. Thu Jun 25 23:34:32 2015 removing 6901335 relations and 4901335 ideals in 2000000 cliques
  77. Thu Jun 25 23:34:34 2015 commencing in-memory singleton removal
  78. Thu Jun 25 23:34:40 2015 begin with 68260756 relations and 63480756 unique ideals
  79. Thu Jun 25 23:35:29 2015 reduce to 67805548 relations and 58113918 ideals in 8 passes
  80. Thu Jun 25 23:35:29 2015 max relations containing the same ideal: 109
  81. Thu Jun 25 23:36:02 2015 removing 6807707 relations and 4807707 ideals in 2000000 cliques
  82. Thu Jun 25 23:36:04 2015 commencing in-memory singleton removal
  83. Thu Jun 25 23:36:10 2015 begin with 60997841 relations and 58113918 unique ideals
  84. Thu Jun 25 23:36:53 2015 reduce to 60515546 relations and 52811951 ideals in 8 passes
  85. Thu Jun 25 23:36:53 2015 max relations containing the same ideal: 100
  86. Thu Jun 25 23:37:22 2015 removing 6757254 relations and 4757254 ideals in 2000000 cliques
  87. Thu Jun 25 23:37:24 2015 commencing in-memory singleton removal
  88. Thu Jun 25 23:37:29 2015 begin with 53758292 relations and 52811951 unique ideals
  89. Thu Jun 25 23:38:06 2015 reduce to 53235744 relations and 47517789 ideals in 8 passes
  90. Thu Jun 25 23:38:06 2015 max relations containing the same ideal: 90
  91. Thu Jun 25 23:38:32 2015 removing 6740535 relations and 4740535 ideals in 2000000 cliques
  92. Thu Jun 25 23:38:34 2015 commencing in-memory singleton removal
  93. Thu Jun 25 23:38:38 2015 begin with 46495209 relations and 47517789 unique ideals
  94. Thu Jun 25 23:39:05 2015 reduce to 45910414 relations and 42174190 ideals in 7 passes
  95. Thu Jun 25 23:39:05 2015 max relations containing the same ideal: 81
  96. Thu Jun 25 23:39:29 2015 removing 6752549 relations and 4752549 ideals in 2000000 cliques
  97. Thu Jun 25 23:39:30 2015 commencing in-memory singleton removal
  98. Thu Jun 25 23:39:34 2015 begin with 39157865 relations and 42174190 unique ideals
  99. Thu Jun 25 23:40:00 2015 reduce to 38474537 relations and 36713635 ideals in 8 passes
  100. Thu Jun 25 23:40:00 2015 max relations containing the same ideal: 73
  101. Thu Jun 25 23:40:20 2015 removing 2444897 relations and 1890684 ideals in 554213 cliques
  102. Thu Jun 25 23:40:21 2015 commencing in-memory singleton removal
  103. Thu Jun 25 23:40:24 2015 begin with 36029640 relations and 36713635 unique ideals
  104. Thu Jun 25 23:40:42 2015 reduce to 35929489 relations and 34721556 ideals in 6 passes
  105. Thu Jun 25 23:40:42 2015 max relations containing the same ideal: 70
  106. Thu Jun 25 23:41:05 2015 relations with 0 large ideals: 21094
  107. Thu Jun 25 23:41:05 2015 relations with 1 large ideals: 17869
  108. Thu Jun 25 23:41:05 2015 relations with 2 large ideals: 244695
  109. Thu Jun 25 23:41:05 2015 relations with 3 large ideals: 1435521
  110. Thu Jun 25 23:41:05 2015 relations with 4 large ideals: 4502756
  111. Thu Jun 25 23:41:05 2015 relations with 5 large ideals: 8347321
  112. Thu Jun 25 23:41:05 2015 relations with 6 large ideals: 9925104
  113. Thu Jun 25 23:41:05 2015 relations with 7+ large ideals: 11435129
  114. Thu Jun 25 23:41:05 2015 commencing 2-way merge
  115. Thu Jun 25 23:41:28 2015 reduce to 23240034 relation sets and 22032101 unique ideals
  116. Thu Jun 25 23:41:28 2015 commencing full merge
  117. Thu Jun 25 23:50:46 2015 memory use: 2884.6 MB
  118. Thu Jun 25 23:50:49 2015 found 10341355 cycles, need 10266301
  119. Thu Jun 25 23:50:50 2015 weight of 10266301 cycles is about 1355239555 (132.01/cycle)
  120. Thu Jun 25 23:50:50 2015 distribution of cycle lengths:
  121. Thu Jun 25 23:50:50 2015 1 relations: 370262
  122. Thu Jun 25 23:50:50 2015 2 relations: 546217
  123. Thu Jun 25 23:50:50 2015 3 relations: 655555
  124. Thu Jun 25 23:50:50 2015 4 relations: 691694
  125. Thu Jun 25 23:50:50 2015 5 relations: 723297
  126. Thu Jun 25 23:50:50 2015 6 relations: 727403
  127. Thu Jun 25 23:50:50 2015 7 relations: 718461
  128. Thu Jun 25 23:50:50 2015 8 relations: 700720
  129. Thu Jun 25 23:50:50 2015 9 relations: 669106
  130. Thu Jun 25 23:50:50 2015 10+ relations: 4463586
  131. Thu Jun 25 23:50:50 2015 heaviest cycle: 28 relations
  132. Thu Jun 25 23:50:52 2015 commencing cycle optimization
  133. Thu Jun 25 23:51:10 2015 start with 95656321 relations
  134. Thu Jun 25 23:55:25 2015 pruned 4745785 relations
  135. Thu Jun 25 23:55:25 2015 memory use: 2465.9 MB
  136. Thu Jun 25 23:55:25 2015 distribution of cycle lengths:
  137. Thu Jun 25 23:55:25 2015 1 relations: 370262
  138. Thu Jun 25 23:55:25 2015 2 relations: 560979
  139. Thu Jun 25 23:55:25 2015 3 relations: 684860
  140. Thu Jun 25 23:55:25 2015 4 relations: 723343
  141. Thu Jun 25 23:55:25 2015 5 relations: 762944
  142. Thu Jun 25 23:55:25 2015 6 relations: 766716
  143. Thu Jun 25 23:55:25 2015 7 relations: 760940
  144. Thu Jun 25 23:55:25 2015 8 relations: 740779
  145. Thu Jun 25 23:55:25 2015 9 relations: 706344
  146. Thu Jun 25 23:55:25 2015 10+ relations: 4189134
  147. Thu Jun 25 23:55:25 2015 heaviest cycle: 28 relations
  148. Thu Jun 25 23:55:46 2015 RelProcTime: 7443
  149. Thu Jun 25 23:55:46 2015 elapsed time 02:04:05
  150. Thu Jun 25 23:55:53 2015
  151. Thu Jun 25 23:55:53 2015
  152. Thu Jun 25 23:55:53 2015 Msieve v. 1.53 (SVN 983M)
  153. Thu Jun 25 23:55:53 2015 random seeds: 17c22390 0ab5c45b
  154. Thu Jun 25 23:55:53 2015 factoring 32557399580688506391715014819771714321563271807377050087298571079407966308757109210819193102885845604257067447022373106622972835061874801050081901663597823154637498981155658948712146612277330225908551158329456279031368965560397 (227 digits)
  155. Thu Jun 25 23:55:54 2015 no P-1/P+1/ECM available, skipping
  156. Thu Jun 25 23:55:54 2015 commencing number field sieve (227-digit input)
  157. Thu Jun 25 23:55:54 2015 R0: -1110186839798712095956922561687869297687899781239
  158. Thu Jun 25 23:55:54 2015 R1: 450076324318177308578196182359332376871050412032
  159. Thu Jun 25 23:55:54 2015 A0: 13924
  160. Thu Jun 25 23:55:54 2015 A1: 0
  161. Thu Jun 25 23:55:54 2015 A2: 0
  162. Thu Jun 25 23:55:54 2015 A3: 0
  163. Thu Jun 25 23:55:54 2015 A4: 0
  164. Thu Jun 25 23:55:54 2015 A5: 6591
  165. Thu Jun 25 23:55:54 2015 skew 1.00, size 2.294e-017, alpha -0.472, combined = 9.883e-014 rroots = 1
  166. Thu Jun 25 23:55:54 2015
  167. Thu Jun 25 23:55:54 2015 commencing linear algebra
  168. Thu Jun 25 23:55:55 2015 read 10266301 cycles
  169. Thu Jun 25 23:56:18 2015 cycles contain 35308563 unique relations
  170. Fri Jun 26 00:04:01 2015 read 35308563 relations
  171. Fri Jun 26 00:05:11 2015 using 20 quadratic characters above 4294917295
  172. Fri Jun 26 00:07:49 2015 building initial matrix
  173. Fri Jun 26 00:15:30 2015 memory use: 4818.3 MB
  174. Fri Jun 26 00:15:37 2015 read 10266301 cycles
  175. Fri Jun 26 00:15:40 2015 matrix is 10266124 x 10266301 (5220.1 MB) with weight 1516753807 (147.74/col)
  176. Fri Jun 26 00:15:40 2015 sparse part has weight 1255488074 (122.29/col)
  177. Fri Jun 26 00:18:44 2015 filtering completed in 2 passes
  178. Fri Jun 26 00:18:47 2015 matrix is 10265888 x 10266065 (5220.1 MB) with weight 1516743117 (147.74/col)
  179. Fri Jun 26 00:18:47 2015 sparse part has weight 1255483633 (122.29/col)
  180. Fri Jun 26 00:19:22 2015 matrix starts at (0, 0)
  181. Fri Jun 26 00:19:26 2015 matrix is 10265888 x 10266065 (5220.1 MB) with weight 1516743117 (147.74/col)
  182. Fri Jun 26 00:19:26 2015 sparse part has weight 1255483633 (122.29/col)
  183. Fri Jun 26 00:19:26 2015 saving the first 48 matrix rows for later
  184. Fri Jun 26 00:19:29 2015 matrix includes 64 packed rows
  185. Fri Jun 26 00:19:31 2015 matrix is 10265840 x 10266065 (5028.0 MB) with weight 1307854048 (127.40/col)
  186. Fri Jun 26 00:19:31 2015 sparse part has weight 1215403724 (118.39/col)
  187. Fri Jun 26 00:19:31 2015 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  188. Fri Jun 26 00:20:30 2015 commencing Lanczos iteration (6 threads)
  189. Fri Jun 26 00:20:30 2015 memory use: 4288.8 MB
  190. Fri Jun 26 00:21:10 2015 linear algebra at 0.0%, ETA 71h 8m
  191. Fri Jun 26 00:21:22 2015 checkpointing every 150000 dimensions
  192. Sun Jun 28 20:02:28 2015 lanczos halted after 162344 iterations (dim = 10265835)
  193. Sun Jun 28 20:02:48 2015 recovered 35 nontrivial dependencies
  194. Sun Jun 28 20:02:55 2015 BLanczosTime: 245221
  195. Sun Jun 28 20:02:55 2015
  196. Sun Jun 28 20:02:55 2015 commencing square root phase
  197. Sun Jun 28 20:02:55 2015 reading relations for dependency 1
  198. Sun Jun 28 20:02:57 2015 read 5133282 cycles
  199. Sun Jun 28 20:03:07 2015 cycles contain 17658584 unique relations
  200. Sun Jun 28 20:08:30 2015 read 17658584 relations
  201. Sun Jun 28 20:10:01 2015 multiplying 17658584 relations
  202. Sun Jun 28 20:22:46 2015 multiply complete, coefficients have about 687.59 million bits
  203. Sun Jun 28 20:22:50 2015 initial square root is modulo 1474961
  204. Sun Jun 28 20:38:25 2015 GCD is 1, no factor found
  205. Sun Jun 28 20:38:25 2015 reading relations for dependency 2
  206. Sun Jun 28 20:38:27 2015 read 5131339 cycles
  207. Sun Jun 28 20:38:37 2015 cycles contain 17654624 unique relations
  208. Sun Jun 28 20:44:00 2015 read 17654624 relations
  209. Sun Jun 28 20:45:34 2015 multiplying 17654624 relations
  210. Sun Jun 28 20:58:28 2015 multiply complete, coefficients have about 687.43 million bits
  211. Sun Jun 28 20:58:31 2015 initial square root is modulo 1470071
  212. Sun Jun 28 21:14:02 2015 sqrtTime: 4267
  213. Sun Jun 28 21:14:02 2015 p70 factor: 2378759421996521105814750742813337130470020896264595220008366847939803
  214. Sun Jun 28 21:14:02 2015 p158 factor: 13686713872629748020403921617178344546702811907203428595556985297479108403356012543024284513635728293879307324254663526751320492556033869687513253869765393399
  215. Sun Jun 28 21:14:02 2015 elapsed time 69:18:09
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