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1213_73_minus1

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Nov 25th, 2015
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  1. Fri Oct 23 03:54:28 2015
  2. Fri Oct 23 03:54:28 2015
  3. Fri Oct 23 03:54:28 2015 Msieve v. 1.52 (SVN unknown)
  4. Fri Oct 23 03:54:28 2015 random seeds: cd8606b8 7f257071
  5. Fri Oct 23 03:54:28 2015 factoring 3064883630720209349078258536676922346059109333159164671570519469197818046373540329208640884670376523786048475552864552340436854750447527172194234542518439731298979707121286221996299046191848978660624935448509457061683 (217 digits)
  6. Fri Oct 23 03:54:29 2015 no P-1/P+1/ECM available, skipping
  7. Fri Oct 23 03:54:29 2015 commencing number field sieve (217-digit input)
  8. Fri Oct 23 03:54:29 2015 R0: -10146811919447387545144925064768215281
  9. Fri Oct 23 03:54:29 2015 R1: 1
  10. Fri Oct 23 03:54:29 2015 A0: -1
  11. Fri Oct 23 03:54:29 2015 A1: 0
  12. Fri Oct 23 03:54:29 2015 A2: 0
  13. Fri Oct 23 03:54:29 2015 A3: 0
  14. Fri Oct 23 03:54:29 2015 A4: 0
  15. Fri Oct 23 03:54:29 2015 A5: 0
  16. Fri Oct 23 03:54:29 2015 A6: 1213
  17. Fri Oct 23 03:54:29 2015 skew 1.00, size 2.317e-011, alpha 1.537, combined = 1.135e-012 rroots = 2
  18. Fri Oct 23 03:54:29 2015
  19. Fri Oct 23 03:54:29 2015 commencing relation filtering
  20. Fri Oct 23 03:54:29 2015 setting target matrix density to 90.0
  21. Fri Oct 23 03:54:29 2015 estimated available RAM is 16335.3 MB
  22. Fri Oct 23 03:54:29 2015 commencing duplicate removal, pass 1
  23. Fri Oct 23 03:58:51 2015
  24. Fri Oct 23 03:58:51 2015
  25. Fri Oct 23 03:58:51 2015 Msieve v. 1.52 (SVN unknown)
  26. Fri Oct 23 03:58:51 2015 random seeds: e96ca3cc 3f103ddb
  27. Fri Oct 23 03:58:51 2015 factoring 3064883630720209349078258536676922346059109333159164671570519469197818046373540329208640884670376523786048475552864552340436854750447527172194234542518439731298979707121286221996299046191848978660624935448509457061683 (217 digits)
  28. Fri Oct 23 03:58:52 2015 no P-1/P+1/ECM available, skipping
  29. Fri Oct 23 03:58:52 2015 commencing number field sieve (217-digit input)
  30. Fri Oct 23 03:58:52 2015 R0: -10146811919447387545144925064768215281
  31. Fri Oct 23 03:58:52 2015 R1: 1
  32. Fri Oct 23 03:58:52 2015 A0: -1
  33. Fri Oct 23 03:58:52 2015 A1: 0
  34. Fri Oct 23 03:58:52 2015 A2: 0
  35. Fri Oct 23 03:58:52 2015 A3: 0
  36. Fri Oct 23 03:58:52 2015 A4: 0
  37. Fri Oct 23 03:58:52 2015 A5: 0
  38. Fri Oct 23 03:58:52 2015 A6: 1213
  39. Fri Oct 23 03:58:52 2015 skew 1.00, size 2.317e-011, alpha 1.537, combined = 1.135e-012 rroots = 2
  40. Fri Oct 23 03:58:52 2015
  41. Fri Oct 23 03:58:52 2015 commencing relation filtering
  42. Fri Oct 23 03:58:52 2015 setting target matrix density to 90.0
  43. Fri Oct 23 03:58:52 2015 estimated available RAM is 16335.3 MB
  44. Fri Oct 23 03:58:52 2015 commencing duplicate removal, pass 1
  45. Fri Oct 23 04:02:31 2015 error -5 reading relation 24329910
  46. Fri Oct 23 04:03:45 2015 error -1 reading relation 32553114
  47. Fri Oct 23 04:05:18 2015 error -1 reading relation 42901049
  48. Fri Oct 23 04:07:10 2015 error -9 reading relation 55509486
  49. Fri Oct 23 04:07:17 2015 error -5 reading relation 56263113
  50. Fri Oct 23 04:07:56 2015 error -15 reading relation 60586961
  51. Fri Oct 23 04:07:58 2015 error -1 reading relation 60846638
  52. Fri Oct 23 04:08:02 2015 error -9 reading relation 61210752
  53. Fri Oct 23 04:08:02 2015 error -15 reading relation 61212781
  54. Fri Oct 23 04:09:58 2015 error -9 reading relation 74294633
  55. Fri Oct 23 04:10:33 2015 error -9 reading relation 78261608
  56. Fri Oct 23 04:10:33 2015 error -15 reading relation 78266419
  57. Fri Oct 23 04:10:41 2015 error -15 reading relation 79141519
  58. Fri Oct 23 04:10:41 2015 error -15 reading relation 79145250
  59. Fri Oct 23 04:10:44 2015 error -15 reading relation 79417415
  60. Fri Oct 23 04:10:44 2015 error -9 reading relation 79421074
  61. Fri Oct 23 04:10:44 2015 error -15 reading relation 79477663
  62. Fri Oct 23 04:10:44 2015 error -15 reading relation 79481252
  63. Fri Oct 23 04:10:45 2015 error -9 reading relation 79514721
  64. Fri Oct 23 04:10:45 2015 error -9 reading relation 79518521
  65. Fri Oct 23 04:11:33 2015 error -15 reading relation 84865758
  66. Fri Oct 23 04:11:35 2015 error -15 reading relation 85032212
  67. Fri Oct 23 04:11:35 2015 error -9 reading relation 85035825
  68. Fri Oct 23 04:11:35 2015 error -15 reading relation 85037280
  69. Fri Oct 23 04:11:35 2015 error -15 reading relation 85049581
  70. Fri Oct 23 04:11:35 2015 error -9 reading relation 85062519
  71. Fri Oct 23 04:11:35 2015 error -15 reading relation 85067263
  72. Fri Oct 23 04:11:36 2015 error -15 reading relation 85207597
  73. Fri Oct 23 04:11:36 2015 error -15 reading relation 85209012
  74. Fri Oct 23 04:11:36 2015 error -9 reading relation 85221060
  75. Fri Oct 23 04:11:36 2015 error -9 reading relation 85222087
  76. Fri Oct 23 04:11:48 2015 error -15 reading relation 86578507
  77. Fri Oct 23 04:12:33 2015 error -5 reading relation 91633245
  78. Fri Oct 23 04:12:33 2015 error -15 reading relation 91634542
  79. Fri Oct 23 04:12:33 2015 error -15 reading relation 91640654
  80. Fri Oct 23 04:13:48 2015 error -15 reading relation 100061109
  81. Fri Oct 23 04:13:52 2015 error -9 reading relation 100741200
  82. Fri Oct 23 04:13:56 2015 error -9 reading relation 101212636
  83. Fri Oct 23 04:14:10 2015 error -15 reading relation 102888535
  84. Fri Oct 23 04:14:10 2015 error -11 reading relation 102889523
  85. Fri Oct 23 04:14:13 2015 error -9 reading relation 103212985
  86. Fri Oct 23 04:14:13 2015 error -15 reading relation 103238866
  87. Fri Oct 23 04:14:13 2015 error -1 reading relation 103300512
  88. Fri Oct 23 04:14:14 2015 error -15 reading relation 103337073
  89. Fri Oct 23 04:14:20 2015 error -5 reading relation 104106524
  90. Fri Oct 23 04:14:20 2015 error -15 reading relation 104120939
  91. Fri Oct 23 04:14:21 2015 error -9 reading relation 104150336
  92. Fri Oct 23 04:14:21 2015 error -15 reading relation 104161935
  93. Fri Oct 23 04:14:26 2015 error -9 reading relation 104762327
  94. Fri Oct 23 04:14:27 2015 error -9 reading relation 104796772
  95. Fri Oct 23 04:14:34 2015 error -9 reading relation 105567413
  96. Fri Oct 23 04:14:34 2015 error -1 reading relation 105647030
  97. Fri Oct 23 04:14:35 2015 error -5 reading relation 105769460
  98. Fri Oct 23 04:14:36 2015 error -9 reading relation 105861189
  99. Fri Oct 23 04:14:36 2015 error -15 reading relation 105862802
  100. Fri Oct 23 04:14:37 2015 error -5 reading relation 105978664
  101. Fri Oct 23 04:14:49 2015 error -15 reading relation 107330381
  102. Fri Oct 23 04:14:52 2015 error -15 reading relation 107593743
  103. Fri Oct 23 04:14:56 2015 error -9 reading relation 107993301
  104. Fri Oct 23 04:15:04 2015 skipped 51 relations with b > 2^32
  105. Fri Oct 23 04:15:04 2015 found 18391965 hash collisions in 108993376 relations
  106. Fri Oct 23 04:15:32 2015 added 1218656 free relations
  107. Fri Oct 23 04:15:32 2015 commencing duplicate removal, pass 2
  108. Fri Oct 23 04:16:18 2015 found 16998894 duplicates and 93213138 unique relations
  109. Fri Oct 23 04:16:18 2015 memory use: 660.8 MB
  110. Fri Oct 23 04:16:18 2015 reading ideals above 79888384
  111. Fri Oct 23 04:16:18 2015 commencing singleton removal, initial pass
  112. Fri Oct 23 04:31:56 2015 memory use: 1506.0 MB
  113. Fri Oct 23 04:31:56 2015 reading all ideals from disk
  114. Fri Oct 23 04:31:57 2015 memory use: 1567.6 MB
  115. Fri Oct 23 04:32:00 2015 commencing in-memory singleton removal
  116. Fri Oct 23 04:32:02 2015 begin with 93213138 relations and 79695442 unique ideals
  117. Fri Oct 23 04:32:35 2015 reduce to 56247109 relations and 38514708 ideals in 15 passes
  118. Fri Oct 23 04:32:35 2015 max relations containing the same ideal: 36
  119. Fri Oct 23 04:32:39 2015 reading ideals above 720000
  120. Fri Oct 23 04:32:39 2015 commencing singleton removal, initial pass
  121. Fri Oct 23 04:44:05 2015 memory use: 1378.0 MB
  122. Fri Oct 23 04:44:05 2015 reading all ideals from disk
  123. Fri Oct 23 04:44:17 2015 memory use: 2107.9 MB
  124. Fri Oct 23 04:44:22 2015 keeping 47549970 ideals with weight <= 200, target excess is 289120
  125. Fri Oct 23 04:44:27 2015 commencing in-memory singleton removal
  126. Fri Oct 23 04:44:32 2015 begin with 56247109 relations and 47549970 unique ideals
  127. Fri Oct 23 04:45:08 2015 reduce to 56239922 relations and 47542780 ideals in 8 passes
  128. Fri Oct 23 04:45:08 2015 max relations containing the same ideal: 200
  129. Fri Oct 23 04:45:31 2015 removing 5736316 relations and 4736316 ideals in 1000000 cliques
  130. Fri Oct 23 04:45:33 2015 commencing in-memory singleton removal
  131. Fri Oct 23 04:45:37 2015 begin with 50503606 relations and 47542780 unique ideals
  132. Fri Oct 23 04:46:10 2015 reduce to 50023169 relations and 42315087 ideals in 8 passes
  133. Fri Oct 23 04:46:10 2015 max relations containing the same ideal: 192
  134. Fri Oct 23 04:46:31 2015 removing 4444745 relations and 3444745 ideals in 1000000 cliques
  135. Fri Oct 23 04:46:32 2015 commencing in-memory singleton removal
  136. Fri Oct 23 04:46:35 2015 begin with 45578424 relations and 42315087 unique ideals
  137. Fri Oct 23 04:47:01 2015 reduce to 45265641 relations and 38551425 ideals in 7 passes
  138. Fri Oct 23 04:47:01 2015 max relations containing the same ideal: 181
  139. Fri Oct 23 04:47:20 2015 removing 4038034 relations and 3038034 ideals in 1000000 cliques
  140. Fri Oct 23 04:47:21 2015 commencing in-memory singleton removal
  141. Fri Oct 23 04:47:24 2015 begin with 41227607 relations and 38551425 unique ideals
  142. Fri Oct 23 04:47:50 2015 reduce to 40950943 relations and 35230964 ideals in 8 passes
  143. Fri Oct 23 04:47:50 2015 max relations containing the same ideal: 172
  144. Fri Oct 23 04:48:08 2015 removing 3820653 relations and 2820653 ideals in 1000000 cliques
  145. Fri Oct 23 04:48:09 2015 commencing in-memory singleton removal
  146. Fri Oct 23 04:48:11 2015 begin with 37130290 relations and 35230964 unique ideals
  147. Fri Oct 23 04:48:35 2015 reduce to 36864628 relations and 32138845 ideals in 8 passes
  148. Fri Oct 23 04:48:35 2015 max relations containing the same ideal: 161
  149. Fri Oct 23 04:48:51 2015 removing 3688994 relations and 2688994 ideals in 1000000 cliques
  150. Fri Oct 23 04:48:52 2015 commencing in-memory singleton removal
  151. Fri Oct 23 04:48:54 2015 begin with 33175634 relations and 32138845 unique ideals
  152. Fri Oct 23 04:49:17 2015 reduce to 32908841 relations and 29176677 ideals in 9 passes
  153. Fri Oct 23 04:49:17 2015 max relations containing the same ideal: 149
  154. Fri Oct 23 04:49:31 2015 removing 3594401 relations and 2594401 ideals in 1000000 cliques
  155. Fri Oct 23 04:49:32 2015 commencing in-memory singleton removal
  156. Fri Oct 23 04:49:34 2015 begin with 29314440 relations and 29176677 unique ideals
  157. Fri Oct 23 04:49:50 2015 reduce to 29038782 relations and 26299329 ideals in 7 passes
  158. Fri Oct 23 04:49:50 2015 max relations containing the same ideal: 135
  159. Fri Oct 23 04:50:02 2015 removing 3530345 relations and 2530345 ideals in 1000000 cliques
  160. Fri Oct 23 04:50:03 2015 commencing in-memory singleton removal
  161. Fri Oct 23 04:50:05 2015 begin with 25508437 relations and 26299329 unique ideals
  162. Fri Oct 23 04:50:20 2015 reduce to 25216107 relations and 23468136 ideals in 8 passes
  163. Fri Oct 23 04:50:20 2015 max relations containing the same ideal: 124
  164. Fri Oct 23 04:50:31 2015 removing 3478901 relations and 2478901 ideals in 1000000 cliques
  165. Fri Oct 23 04:50:32 2015 commencing in-memory singleton removal
  166. Fri Oct 23 04:50:34 2015 begin with 21737206 relations and 23468136 unique ideals
  167. Fri Oct 23 04:50:46 2015 reduce to 21417669 relations and 20659033 ideals in 8 passes
  168. Fri Oct 23 04:50:46 2015 max relations containing the same ideal: 114
  169. Fri Oct 23 04:50:56 2015 removing 1727848 relations and 1304592 ideals in 423256 cliques
  170. Fri Oct 23 04:50:56 2015 commencing in-memory singleton removal
  171. Fri Oct 23 04:50:58 2015 begin with 19689821 relations and 20659033 unique ideals
  172. Fri Oct 23 04:51:06 2015 reduce to 19600769 relations and 19263934 ideals in 6 passes
  173. Fri Oct 23 04:51:06 2015 max relations containing the same ideal: 108
  174. Fri Oct 23 04:51:17 2015 relations with 0 large ideals: 10628
  175. Fri Oct 23 04:51:17 2015 relations with 1 large ideals: 3021
  176. Fri Oct 23 04:51:17 2015 relations with 2 large ideals: 29459
  177. Fri Oct 23 04:51:17 2015 relations with 3 large ideals: 240109
  178. Fri Oct 23 04:51:17 2015 relations with 4 large ideals: 1082814
  179. Fri Oct 23 04:51:17 2015 relations with 5 large ideals: 2892069
  180. Fri Oct 23 04:51:17 2015 relations with 6 large ideals: 4832956
  181. Fri Oct 23 04:51:17 2015 relations with 7+ large ideals: 10509713
  182. Fri Oct 23 04:51:17 2015 commencing 2-way merge
  183. Fri Oct 23 04:51:29 2015 reduce to 12930507 relation sets and 12593672 unique ideals
  184. Fri Oct 23 04:51:29 2015 commencing full merge
  185. Fri Oct 23 04:55:35 2015 memory use: 1680.8 MB
  186. Fri Oct 23 04:55:36 2015 found 6447083 cycles, need 6403872
  187. Fri Oct 23 04:55:37 2015 weight of 6403872 cycles is about 576505558 (90.02/cycle)
  188. Fri Oct 23 04:55:37 2015 distribution of cycle lengths:
  189. Fri Oct 23 04:55:37 2015 1 relations: 403512
  190. Fri Oct 23 04:55:37 2015 2 relations: 560127
  191. Fri Oct 23 04:55:37 2015 3 relations: 623951
  192. Fri Oct 23 04:55:37 2015 4 relations: 619296
  193. Fri Oct 23 04:55:37 2015 5 relations: 608683
  194. Fri Oct 23 04:55:37 2015 6 relations: 572787
  195. Fri Oct 23 04:55:37 2015 7 relations: 531557
  196. Fri Oct 23 04:55:37 2015 8 relations: 478760
  197. Fri Oct 23 04:55:37 2015 9 relations: 419020
  198. Fri Oct 23 04:55:37 2015 10+ relations: 1586179
  199. Fri Oct 23 04:55:37 2015 heaviest cycle: 25 relations
  200. Fri Oct 23 04:55:38 2015 commencing cycle optimization
  201. Fri Oct 23 04:55:46 2015 start with 43968416 relations
  202. Fri Oct 23 04:57:10 2015 pruned 1585393 relations
  203. Fri Oct 23 04:57:10 2015 memory use: 1274.3 MB
  204. Fri Oct 23 04:57:10 2015 distribution of cycle lengths:
  205. Fri Oct 23 04:57:10 2015 1 relations: 403512
  206. Fri Oct 23 04:57:10 2015 2 relations: 572902
  207. Fri Oct 23 04:57:10 2015 3 relations: 649494
  208. Fri Oct 23 04:57:10 2015 4 relations: 642069
  209. Fri Oct 23 04:57:10 2015 5 relations: 633876
  210. Fri Oct 23 04:57:10 2015 6 relations: 593410
  211. Fri Oct 23 04:57:10 2015 7 relations: 550955
  212. Fri Oct 23 04:57:10 2015 8 relations: 490519
  213. Fri Oct 23 04:57:10 2015 9 relations: 426300
  214. Fri Oct 23 04:57:10 2015 10+ relations: 1440835
  215. Fri Oct 23 04:57:10 2015 heaviest cycle: 24 relations
  216. Fri Oct 23 04:57:18 2015 RelProcTime: 3506
  217. Fri Oct 23 04:57:18 2015
  218. Fri Oct 23 04:57:18 2015 commencing linear algebra
  219. Fri Oct 23 04:57:19 2015 read 6403872 cycles
  220. Fri Oct 23 04:57:29 2015 cycles contain 19411123 unique relations
  221. Fri Oct 23 05:01:14 2015 read 19411123 relations
  222. Fri Oct 23 05:01:41 2015 using 20 quadratic characters above 1073738952
  223. Fri Oct 23 05:03:04 2015 building initial matrix
  224. Fri Oct 23 05:06:33 2015 memory use: 2521.6 MB
  225. Fri Oct 23 05:06:44 2015 read 6403872 cycles
  226. Fri Oct 23 05:06:46 2015 matrix is 6403695 x 6403872 (2356.8 MB) with weight 681946048 (106.49/col)
  227. Fri Oct 23 05:06:46 2015 sparse part has weight 547374183 (85.48/col)
  228. Fri Oct 23 05:07:47 2015 filtering completed in 2 passes
  229. Fri Oct 23 05:07:49 2015 matrix is 6403375 x 6403552 (2356.8 MB) with weight 681936872 (106.49/col)
  230. Fri Oct 23 05:07:49 2015 sparse part has weight 547371670 (85.48/col)
  231. Fri Oct 23 05:08:08 2015 matrix starts at (0, 0)
  232. Fri Oct 23 05:08:09 2015 matrix is 6403375 x 6403552 (2356.8 MB) with weight 681936872 (106.49/col)
  233. Fri Oct 23 05:08:09 2015 sparse part has weight 547371670 (85.48/col)
  234. Fri Oct 23 05:08:09 2015 saving the first 48 matrix rows for later
  235. Fri Oct 23 05:08:11 2015 matrix includes 64 packed rows
  236. Fri Oct 23 05:08:12 2015 matrix is 6403327 x 6403552 (2245.9 MB) with weight 564390674 (88.14/col)
  237. Fri Oct 23 05:08:12 2015 sparse part has weight 524723814 (81.94/col)
  238. Fri Oct 23 05:08:12 2015 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  239. Fri Oct 23 05:08:39 2015 commencing Lanczos iteration (4 threads)
  240. Fri Oct 23 05:08:39 2015 memory use: 1876.8 MB
  241. Fri Oct 23 05:09:01 2015 linear algebra at 0.0%, ETA 24h31m
  242. Fri Oct 23 05:09:08 2015 checkpointing every 270000 dimensions
  243. Sat Oct 24 05:38:04 2015 lanczos halted after 101261 iterations (dim = 6403323)
  244. Sat Oct 24 05:38:10 2015 recovered 33 nontrivial dependencies
  245. Sat Oct 24 05:38:13 2015 BLanczosTime: 88855
  246. Sat Oct 24 05:38:13 2015
  247. Sat Oct 24 05:38:13 2015 commencing square root phase
  248. Sat Oct 24 05:38:13 2015 handling dependencies 1 to 64
  249. Sat Oct 24 05:38:13 2015 reading relations for dependency 1
  250. Sat Oct 24 05:38:14 2015 read 3203789 cycles
  251. Sat Oct 24 05:38:19 2015 cycles contain 9709434 unique relations
  252. Sat Oct 24 05:40:38 2015 read 9709434 relations
  253. Sat Oct 24 05:41:29 2015 multiplying 9709434 relations
  254. Sat Oct 24 05:52:10 2015 multiply complete, coefficients have about 328.45 million bits
  255. Sat Oct 24 05:52:14 2015 initial square root is modulo 782539
  256. Sat Oct 24 06:05:41 2015 GCD is 1, no factor found
  257. Sat Oct 24 06:05:41 2015 reading relations for dependency 2
  258. Sat Oct 24 06:05:42 2015 read 3201159 cycles
  259. Sat Oct 24 06:05:47 2015 cycles contain 9704676 unique relations
  260. Sat Oct 24 06:07:49 2015 read 9704676 relations
  261. Sat Oct 24 06:08:52 2015 multiplying 9704676 relations
  262. Sat Oct 24 06:20:19 2015 multiply complete, coefficients have about 328.29 million bits
  263. Sat Oct 24 06:20:23 2015 initial square root is modulo 777391
  264. Sat Oct 24 06:33:48 2015 GCD is 1, no factor found
  265. Sat Oct 24 06:33:48 2015 reading relations for dependency 3
  266. Sat Oct 24 06:33:49 2015 read 3199843 cycles
  267. Sat Oct 24 06:33:54 2015 cycles contain 9699774 unique relations
  268. Sat Oct 24 06:35:51 2015 read 9699774 relations
  269. Sat Oct 24 06:36:53 2015 multiplying 9699774 relations
  270. Sat Oct 24 06:48:17 2015 multiply complete, coefficients have about 328.13 million bits
  271. Sat Oct 24 06:48:21 2015 initial square root is modulo 772297
  272. Sat Oct 24 07:01:43 2015 sqrtTime: 5010
  273. Sat Oct 24 07:01:43 2015 prp73 factor: 9257123184175116915965795431189857727244102662220048603776055115080083651
  274. Sat Oct 24 07:01:43 2015 prp144 factor: 331083811864961672202618365762848443356414287328217996667206564272136262378139224183103335281215397192180727551769280677404244122301445505921233
  275. Sat Oct 24 07:01:43 2015 elapsed time 27:02:52
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