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C222_124_67

Nov 25th, 2015
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  1. Sun Oct 18 08:31:14 2015
  2. Sun Oct 18 08:31:14 2015
  3. Sun Oct 18 08:31:14 2015 Msieve v. 1.52 (SVN unknown)
  4. Sun Oct 18 08:31:14 2015 random seeds: dbbcca5c 2d575fa6
  5. Sun Oct 18 08:31:14 2015 factoring 155023959663317450786768298695444395198075394268793519151508052544025707459144874837779912211627598567888726977854045616404799571130312653996062432563167305280596484987402959800402631391352463829977389537037147982241605687 (222 digits)
  6. Sun Oct 18 08:31:15 2015 no P-1/P+1/ECM available, skipping
  7. Sun Oct 18 08:31:15 2015 commencing number field sieve (222-digit input)
  8. Sun Oct 18 08:31:15 2015 R0: -106570876280498368282624
  9. Sun Oct 18 08:31:15 2015 R1: 3322737661703085672358476688602579601
  10. Sun Oct 18 08:31:15 2015 A0: 20151121
  11. Sun Oct 18 08:31:15 2015 A1: 0
  12. Sun Oct 18 08:31:15 2015 A2: 0
  13. Sun Oct 18 08:31:15 2015 A3: 0
  14. Sun Oct 18 08:31:15 2015 A4: 0
  15. Sun Oct 18 08:31:15 2015 A5: 0
  16. Sun Oct 18 08:31:15 2015 A6: 124
  17. Sun Oct 18 08:31:15 2015 skew 1.00, size 4.018e-012, alpha 0.753, combined = 3.028e-013 rroots = 0
  18. Sun Oct 18 08:31:15 2015
  19. Sun Oct 18 08:31:15 2015 commencing relation filtering
  20. Sun Oct 18 08:31:15 2015 setting target matrix density to 110.0
  21. Sun Oct 18 08:31:15 2015 estimated available RAM is 16335.3 MB
  22. Sun Oct 18 08:31:15 2015 commencing duplicate removal, pass 1
  23. Sun Oct 18 08:37:11 2015 error -9 reading relation 38375176
  24. Sun Oct 18 08:39:10 2015 error -9 reading relation 51373432
  25. Sun Oct 18 08:43:52 2015 error -9 reading relation 82503937
  26. Sun Oct 18 08:44:33 2015 error -1 reading relation 87026386
  27. Sun Oct 18 08:46:49 2015 error -5 reading relation 102055760
  28. Sun Oct 18 08:47:31 2015 error -5 reading relation 106651286
  29. Sun Oct 18 08:47:32 2015 error -9 reading relation 106696434
  30. Sun Oct 18 08:47:32 2015 error -15 reading relation 106749362
  31. Sun Oct 18 08:47:33 2015 error -11 reading relation 106823411
  32. Sun Oct 18 08:49:13 2015 error -15 reading relation 117978753
  33. Sun Oct 18 08:50:00 2015 error -9 reading relation 123129227
  34. Sun Oct 18 08:50:00 2015 error -15 reading relation 123173922
  35. Sun Oct 18 08:51:10 2015 error -5 reading relation 130831236
  36. Sun Oct 18 08:51:22 2015 error -9 reading relation 132163066
  37. Sun Oct 18 08:51:34 2015 error -9 reading relation 133455652
  38. Sun Oct 18 08:51:47 2015 error -5 reading relation 134928717
  39. Sun Oct 18 08:51:49 2015 error -9 reading relation 135108591
  40. Sun Oct 18 08:51:50 2015 error -9 reading relation 135293034
  41. Sun Oct 18 08:51:50 2015 error -15 reading relation 135304418
  42. Sun Oct 18 08:52:37 2015 error -15 reading relation 140409064
  43. Sun Oct 18 08:52:38 2015 error -5 reading relation 140536280
  44. Sun Oct 18 08:53:46 2015 error -9 reading relation 148067758
  45. Sun Oct 18 08:54:22 2015 error -15 reading relation 151960733
  46. Sun Oct 18 08:54:27 2015 error -1 reading relation 152538587
  47. Sun Oct 18 08:54:27 2015 error -15 reading relation 152551655
  48. Sun Oct 18 08:54:46 2015 error -9 reading relation 154614788
  49. Sun Oct 18 08:55:02 2015 error -15 reading relation 156376554
  50. Sun Oct 18 08:55:04 2015 error -9 reading relation 156537784
  51. Sun Oct 18 08:55:05 2015 error -15 reading relation 156720874
  52. Sun Oct 18 08:55:06 2015 error -15 reading relation 156777973
  53. Sun Oct 18 08:57:56 2015 error -15 reading relation 175844269
  54. Sun Oct 18 08:58:04 2015 error -15 reading relation 176688598
  55. Sun Oct 18 08:58:09 2015 error -15 reading relation 177316869
  56. Sun Oct 18 08:58:10 2015 error -9 reading relation 177465799
  57. Sun Oct 18 08:58:11 2015 error -9 reading relation 177477702
  58. Sun Oct 18 08:58:14 2015 error -15 reading relation 177858929
  59. Sun Oct 18 08:58:57 2015 error -15 reading relation 182808680
  60. Sun Oct 18 08:59:08 2015 error -9 reading relation 184050670
  61. Sun Oct 18 08:59:20 2015 error -9 reading relation 185385972
  62. Sun Oct 18 08:59:27 2015 error -5 reading relation 186235677
  63. Sun Oct 18 08:59:34 2015 error -15 reading relation 187178740
  64. Sun Oct 18 09:01:38 2015 error -9 reading relation 200591444
  65. Sun Oct 18 09:01:58 2015 error -15 reading relation 202947282
  66. Sun Oct 18 09:01:58 2015 error -15 reading relation 202957430
  67. Sun Oct 18 09:02:00 2015 error -11 reading relation 203132511
  68. Sun Oct 18 09:02:00 2015 error -11 reading relation 203134209
  69. Sun Oct 18 09:02:00 2015 error -11 reading relation 203134302
  70. Sun Oct 18 09:02:00 2015 error -11 reading relation 203138956
  71. Sun Oct 18 09:02:00 2015 error -11 reading relation 203139887
  72. Sun Oct 18 09:02:00 2015 error -11 reading relation 203157347
  73. Sun Oct 18 09:02:00 2015 error -15 reading relation 203158326
  74. Sun Oct 18 09:02:55 2015 error -9 reading relation 208934242
  75. Sun Oct 18 09:02:55 2015 error -9 reading relation 208950530
  76. Sun Oct 18 09:02:55 2015 error -9 reading relation 208962879
  77. Sun Oct 18 09:03:24 2015 error -9 reading relation 211877003
  78. Sun Oct 18 09:03:25 2015 error -15 reading relation 211901120
  79. Sun Oct 18 09:03:29 2015 error -15 reading relation 212253505
  80. Sun Oct 18 09:03:41 2015 error -9 reading relation 213424663
  81. Sun Oct 18 09:03:56 2015 error -1 reading relation 214784056
  82. Sun Oct 18 09:03:57 2015 error -15 reading relation 214887427
  83. Sun Oct 18 09:04:05 2015 error -15 reading relation 215524794
  84. Sun Oct 18 09:04:14 2015 error -9 reading relation 216517944
  85. Sun Oct 18 09:04:15 2015 error -15 reading relation 216541949
  86. Sun Oct 18 09:04:15 2015 error -15 reading relation 216545449
  87. Sun Oct 18 09:04:23 2015 skipped 1 relations with b > 2^32
  88. Sun Oct 18 09:04:23 2015 found 42218907 hash collisions in 217024637 relations
  89. Sun Oct 18 09:04:51 2015 added 1218578 free relations
  90. Sun Oct 18 09:04:51 2015 commencing duplicate removal, pass 2
  91. Sun Oct 18 09:09:24 2015 found 41799241 duplicates and 176443974 unique relations
  92. Sun Oct 18 09:09:24 2015 memory use: 1321.5 MB
  93. Sun Oct 18 09:09:25 2015 reading ideals above 154861568
  94. Sun Oct 18 09:09:25 2015 commencing singleton removal, initial pass
  95. Sun Oct 18 09:40:01 2015 memory use: 3012.0 MB
  96. Sun Oct 18 09:40:01 2015 reading all ideals from disk
  97. Sun Oct 18 09:40:44 2015 memory use: 2910.6 MB
  98. Sun Oct 18 09:40:49 2015 commencing in-memory singleton removal
  99. Sun Oct 18 09:40:55 2015 begin with 176443974 relations and 151060522 unique ideals
  100. Sun Oct 18 09:41:54 2015 reduce to 102711050 relations and 68423261 ideals in 15 passes
  101. Sun Oct 18 09:41:54 2015 max relations containing the same ideal: 34
  102. Sun Oct 18 09:42:01 2015 reading ideals above 720000
  103. Sun Oct 18 09:42:02 2015 commencing singleton removal, initial pass
  104. Sun Oct 18 10:05:35 2015 memory use: 2756.0 MB
  105. Sun Oct 18 10:05:35 2015 reading all ideals from disk
  106. Sun Oct 18 10:06:27 2015 memory use: 3986.7 MB
  107. Sun Oct 18 10:06:38 2015 keeping 85304123 ideals with weight <= 200, target excess is 518274
  108. Sun Oct 18 10:06:50 2015 commencing in-memory singleton removal
  109. Sun Oct 18 10:06:59 2015 begin with 102711050 relations and 85304123 unique ideals
  110. Sun Oct 18 10:08:18 2015 reduce to 102699047 relations and 85292113 ideals in 9 passes
  111. Sun Oct 18 10:08:18 2015 max relations containing the same ideal: 200
  112. Sun Oct 18 10:09:04 2015 removing 11309486 relations and 9309486 ideals in 2000000 cliques
  113. Sun Oct 18 10:09:07 2015 commencing in-memory singleton removal
  114. Sun Oct 18 10:09:14 2015 begin with 91389561 relations and 85292113 unique ideals
  115. Sun Oct 18 10:10:25 2015 reduce to 90495729 relations and 75067219 ideals in 9 passes
  116. Sun Oct 18 10:10:25 2015 max relations containing the same ideal: 193
  117. Sun Oct 18 10:11:05 2015 removing 8543201 relations and 6543201 ideals in 2000000 cliques
  118. Sun Oct 18 10:11:07 2015 commencing in-memory singleton removal
  119. Sun Oct 18 10:11:14 2015 begin with 81952528 relations and 75067219 unique ideals
  120. Sun Oct 18 10:12:03 2015 reduce to 81356989 relations and 67915369 ideals in 7 passes
  121. Sun Oct 18 10:12:03 2015 max relations containing the same ideal: 183
  122. Sun Oct 18 10:12:39 2015 removing 7710623 relations and 5710623 ideals in 2000000 cliques
  123. Sun Oct 18 10:12:41 2015 commencing in-memory singleton removal
  124. Sun Oct 18 10:12:47 2015 begin with 73646366 relations and 67915369 unique ideals
  125. Sun Oct 18 10:13:37 2015 reduce to 73115476 relations and 61661794 ideals in 8 passes
  126. Sun Oct 18 10:13:37 2015 max relations containing the same ideal: 170
  127. Sun Oct 18 10:14:10 2015 removing 7283269 relations and 5283269 ideals in 2000000 cliques
  128. Sun Oct 18 10:14:12 2015 commencing in-memory singleton removal
  129. Sun Oct 18 10:14:18 2015 begin with 65832207 relations and 61661794 unique ideals
  130. Sun Oct 18 10:15:02 2015 reduce to 65324897 relations and 55858892 ideals in 8 passes
  131. Sun Oct 18 10:15:02 2015 max relations containing the same ideal: 157
  132. Sun Oct 18 10:15:32 2015 removing 7007396 relations and 5007396 ideals in 2000000 cliques
  133. Sun Oct 18 10:15:33 2015 commencing in-memory singleton removal
  134. Sun Oct 18 10:15:38 2015 begin with 58317501 relations and 55858892 unique ideals
  135. Sun Oct 18 10:16:12 2015 reduce to 57808553 relations and 50328866 ideals in 7 passes
  136. Sun Oct 18 10:16:12 2015 max relations containing the same ideal: 146
  137. Sun Oct 18 10:16:38 2015 removing 6808865 relations and 4808865 ideals in 2000000 cliques
  138. Sun Oct 18 10:16:40 2015 commencing in-memory singleton removal
  139. Sun Oct 18 10:16:44 2015 begin with 50999688 relations and 50328866 unique ideals
  140. Sun Oct 18 10:17:17 2015 reduce to 50474932 relations and 44979642 ideals in 8 passes
  141. Sun Oct 18 10:17:17 2015 max relations containing the same ideal: 131
  142. Sun Oct 18 10:17:40 2015 removing 6664263 relations and 4664263 ideals in 2000000 cliques
  143. Sun Oct 18 10:17:42 2015 commencing in-memory singleton removal
  144. Sun Oct 18 10:17:45 2015 begin with 43810669 relations and 44979642 unique ideals
  145. Sun Oct 18 10:18:10 2015 reduce to 43246029 relations and 39731612 ideals in 7 passes
  146. Sun Oct 18 10:18:10 2015 max relations containing the same ideal: 123
  147. Sun Oct 18 10:18:30 2015 removing 6552921 relations and 4552921 ideals in 2000000 cliques
  148. Sun Oct 18 10:18:31 2015 commencing in-memory singleton removal
  149. Sun Oct 18 10:18:34 2015 begin with 36693108 relations and 39731612 unique ideals
  150. Sun Oct 18 10:19:00 2015 reduce to 36052377 relations and 34512519 ideals in 9 passes
  151. Sun Oct 18 10:19:00 2015 max relations containing the same ideal: 112
  152. Sun Oct 18 10:19:17 2015 removing 3536596 relations and 2597936 ideals in 938660 cliques
  153. Sun Oct 18 10:19:18 2015 commencing in-memory singleton removal
  154. Sun Oct 18 10:19:21 2015 begin with 32515781 relations and 34512519 unique ideals
  155. Sun Oct 18 10:19:41 2015 reduce to 32282410 relations and 31675777 ideals in 8 passes
  156. Sun Oct 18 10:19:41 2015 max relations containing the same ideal: 100
  157. Sun Oct 18 10:20:00 2015 relations with 0 large ideals: 18240
  158. Sun Oct 18 10:20:00 2015 relations with 1 large ideals: 9364
  159. Sun Oct 18 10:20:00 2015 relations with 2 large ideals: 90277
  160. Sun Oct 18 10:20:00 2015 relations with 3 large ideals: 639906
  161. Sun Oct 18 10:20:00 2015 relations with 4 large ideals: 2481814
  162. Sun Oct 18 10:20:00 2015 relations with 5 large ideals: 5758719
  163. Sun Oct 18 10:20:00 2015 relations with 6 large ideals: 8382284
  164. Sun Oct 18 10:20:00 2015 relations with 7+ large ideals: 14901806
  165. Sun Oct 18 10:20:00 2015 commencing 2-way merge
  166. Sun Oct 18 10:20:20 2015 reduce to 21464946 relation sets and 20858313 unique ideals
  167. Sun Oct 18 10:20:20 2015 commencing full merge
  168. Sun Oct 18 10:28:30 2015 memory use: 2742.6 MB
  169. Sun Oct 18 10:28:32 2015 found 9942732 cycles, need 9894513
  170. Sun Oct 18 10:28:33 2015 weight of 9894513 cycles is about 1088465755 (110.01/cycle)
  171. Sun Oct 18 10:28:33 2015 distribution of cycle lengths:
  172. Sun Oct 18 10:28:33 2015 1 relations: 417356
  173. Sun Oct 18 10:28:33 2015 2 relations: 631572
  174. Sun Oct 18 10:28:33 2015 3 relations: 755621
  175. Sun Oct 18 10:28:33 2015 4 relations: 789156
  176. Sun Oct 18 10:28:33 2015 5 relations: 806188
  177. Sun Oct 18 10:28:33 2015 6 relations: 793457
  178. Sun Oct 18 10:28:33 2015 7 relations: 766974
  179. Sun Oct 18 10:28:33 2015 8 relations: 722887
  180. Sun Oct 18 10:28:33 2015 9 relations: 668893
  181. Sun Oct 18 10:28:33 2015 10+ relations: 3542409
  182. Sun Oct 18 10:28:33 2015 heaviest cycle: 28 relations
  183. Sun Oct 18 10:28:35 2015 commencing cycle optimization
  184. Sun Oct 18 10:28:51 2015 start with 82158538 relations
  185. Sun Oct 18 10:32:23 2015 pruned 3549270 relations
  186. Sun Oct 18 10:32:23 2015 memory use: 2195.5 MB
  187. Sun Oct 18 10:32:23 2015 distribution of cycle lengths:
  188. Sun Oct 18 10:32:23 2015 1 relations: 417356
  189. Sun Oct 18 10:32:23 2015 2 relations: 646958
  190. Sun Oct 18 10:32:23 2015 3 relations: 787465
  191. Sun Oct 18 10:32:23 2015 4 relations: 821907
  192. Sun Oct 18 10:32:23 2015 5 relations: 845410
  193. Sun Oct 18 10:32:23 2015 6 relations: 829829
  194. Sun Oct 18 10:32:23 2015 7 relations: 804876
  195. Sun Oct 18 10:32:23 2015 8 relations: 753769
  196. Sun Oct 18 10:32:23 2015 9 relations: 695268
  197. Sun Oct 18 10:32:23 2015 10+ relations: 3291675
  198. Sun Oct 18 10:32:23 2015 heaviest cycle: 28 relations
  199. Sun Oct 18 10:32:40 2015 RelProcTime: 7285
  200. Sun Oct 18 10:32:41 2015
  201. Sun Oct 18 10:32:41 2015 commencing linear algebra
  202. Sun Oct 18 10:32:42 2015 read 9894513 cycles
  203. Sun Oct 18 10:33:02 2015 cycles contain 31931877 unique relations
  204. Sun Oct 18 10:39:25 2015 read 31931877 relations
  205. Sun Oct 18 10:40:18 2015 using 20 quadratic characters above 2147482860
  206. Sun Oct 18 10:42:40 2015 building initial matrix
  207. Sun Oct 18 10:49:11 2015 memory use: 4008.8 MB
  208. Sun Oct 18 10:49:49 2015 read 9894513 cycles
  209. Sun Oct 18 10:49:52 2015 matrix is 9894336 x 9894513 (4332.5 MB) with weight 1243162191 (125.64/col)
  210. Sun Oct 18 10:49:52 2015 sparse part has weight 1026911862 (103.79/col)
  211. Sun Oct 18 10:51:53 2015 filtering completed in 2 passes
  212. Sun Oct 18 10:51:56 2015 matrix is 9894106 x 9894283 (4332.5 MB) with weight 1243153875 (125.64/col)
  213. Sun Oct 18 10:51:56 2015 sparse part has weight 1026908508 (103.79/col)
  214. Sun Oct 18 10:53:52 2015 matrix starts at (0, 0)
  215. Sun Oct 18 10:53:54 2015 matrix is 9894106 x 9894283 (4332.5 MB) with weight 1243153875 (125.64/col)
  216. Sun Oct 18 10:53:54 2015 sparse part has weight 1026908508 (103.79/col)
  217. Sun Oct 18 10:53:54 2015 saving the first 48 matrix rows for later
  218. Sun Oct 18 10:53:57 2015 matrix includes 64 packed rows
  219. Sun Oct 18 10:53:59 2015 matrix is 9894058 x 9894283 (4114.6 MB) with weight 1057267911 (106.86/col)
  220. Sun Oct 18 10:53:59 2015 sparse part has weight 979683806 (99.02/col)
  221. Sun Oct 18 10:53:59 2015 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  222. Sun Oct 18 10:54:54 2015 commencing Lanczos iteration (4 threads)
  223. Sun Oct 18 10:54:54 2015 memory use: 3480.1 MB
  224. Sun Oct 18 10:55:37 2015 linear algebra at 0.0%, ETA 73h58m
  225. Sun Oct 18 10:55:51 2015 checkpointing every 140000 dimensions
  226. Wed Oct 21 12:29:18 2015 lanczos halted after 156468 iterations (dim = 9894056)
  227. Wed Oct 21 12:29:42 2015 recovered 37 nontrivial dependencies
  228. Wed Oct 21 12:29:50 2015 BLanczosTime: 266229
  229. Wed Oct 21 12:29:50 2015
  230. Wed Oct 21 12:29:50 2015 commencing square root phase
  231. Wed Oct 21 12:29:50 2015 handling dependencies 1 to 64
  232. Wed Oct 21 12:29:50 2015 reading relations for dependency 1
  233. Wed Oct 21 12:29:53 2015 read 4946976 cycles
  234. Wed Oct 21 12:30:02 2015 cycles contain 15967964 unique relations
  235. Wed Oct 21 12:35:13 2015 read 15967964 relations
  236. Wed Oct 21 12:36:39 2015 multiplying 15967964 relations
  237. Wed Oct 21 12:54:15 2015 multiply complete, coefficients have about 531.04 million bits
  238. Wed Oct 21 12:54:21 2015 initial square root is modulo 58147
  239. Wed Oct 21 13:15:19 2015 GCD is 1, no factor found
  240. Wed Oct 21 13:15:19 2015 reading relations for dependency 2
  241. Wed Oct 21 13:15:28 2015 read 4948758 cycles
  242. Wed Oct 21 13:15:37 2015 cycles contain 15967724 unique relations
  243. Wed Oct 21 13:20:30 2015 read 15967724 relations
  244. Wed Oct 21 13:22:04 2015 multiplying 15967724 relations
  245. Wed Oct 21 13:40:25 2015 multiply complete, coefficients have about 531.03 million bits
  246. Wed Oct 21 13:40:31 2015 initial square root is modulo 58111
  247. Wed Oct 21 14:01:31 2015 sqrtTime: 5501
  248. Wed Oct 21 14:01:31 2015 prp89 factor: 60374502577352622896742932730401428625835692703952205757441498347388642423289582448859677
  249. Wed Oct 21 14:01:31 2015 prp133 factor: 2567705787135863741894408986312430541232242781187699445802498280940573416925471219328010400507059714069174894215288474349996917644131
  250. Wed Oct 21 14:01:31 2015 elapsed time 77:30:17
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