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2269_67_minus1

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Dec 7th, 2015
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  1. Fri Dec 4 12:16:33 2015
  2. Fri Dec 4 12:16:33 2015
  3. Fri Dec 4 12:16:33 2015 Msieve v. 1.53 (SVN 984)
  4. Fri Dec 4 12:16:33 2015 random seeds: e95eb684 f39fe1b8
  5. Fri Dec 4 12:16:33 2015 factoring 1136359884772129416039859690323853784270279439143775277072379985412462814781169172437992158542055435495498415319484201766334015519437849379125752022316694114166666994065763689933486100447326253195439089450297530604502339 (220 digits)
  6. Fri Dec 4 12:16:33 2015 commencing number field sieve (220-digit input)
  7. Fri Dec 4 12:16:33 2015 R0: -8206905916681621247496025280245410469
  8. Fri Dec 4 12:16:33 2015 R1: 1
  9. Fri Dec 4 12:16:33 2015 A0: -1
  10. Fri Dec 4 12:16:33 2015 A1: 0
  11. Fri Dec 4 12:16:33 2015 A2: 0
  12. Fri Dec 4 12:16:33 2015 A3: 0
  13. Fri Dec 4 12:16:33 2015 A4: 0
  14. Fri Dec 4 12:16:33 2015 A5: 0
  15. Fri Dec 4 12:16:33 2015 A6: 2269
  16. Fri Dec 4 12:16:33 2015 skew 1.00, size 5.270e-11, alpha -1.492, combined = 1.994e-12 rroots = 2
  17. Fri Dec 4 12:16:33 2015
  18. Fri Dec 4 12:16:33 2015 commencing relation filtering
  19. Fri Dec 4 12:16:33 2015 setting target matrix density to 120.0
  20. Fri Dec 4 12:16:33 2015 estimated available RAM is 32091.8 MB
  21. Fri Dec 4 12:16:33 2015 commencing duplicate removal, pass 1
  22. Fri Dec 4 12:20:14 2015 error -1 reading relation 23750300
  23. Fri Dec 4 12:25:18 2015 error -15 reading relation 56492273
  24. Fri Dec 4 12:25:35 2015 error -9 reading relation 58451632
  25. Fri Dec 4 12:26:41 2015 error -9 reading relation 65990296
  26. Fri Dec 4 12:29:56 2015 error -15 reading relation 87671726
  27. Fri Dec 4 12:30:53 2015 error -15 reading relation 94174451
  28. Fri Dec 4 12:31:53 2015 error -15 reading relation 100735890
  29. Fri Dec 4 12:32:12 2015 error -9 reading relation 102828408
  30. Fri Dec 4 12:32:12 2015 error -15 reading relation 102828804
  31. Fri Dec 4 12:32:17 2015 error -15 reading relation 103404523
  32. Fri Dec 4 12:32:18 2015 error -9 reading relation 103650326
  33. Fri Dec 4 12:32:24 2015 skipped 36 relations with b > 2^32
  34. Fri Dec 4 12:32:24 2015 skipped 6 relations with composite factors
  35. Fri Dec 4 12:32:24 2015 found 14087974 hash collisions in 104293742 relations
  36. Fri Dec 4 12:32:43 2015 added 1219555 free relations
  37. Fri Dec 4 12:32:43 2015 commencing duplicate removal, pass 2
  38. Fri Dec 4 12:33:18 2015 found 11689930 duplicates and 93823367 unique relations
  39. Fri Dec 4 12:33:18 2015 memory use: 426.4 MB
  40. Fri Dec 4 12:33:18 2015 reading ideals above 720000
  41. Fri Dec 4 12:33:18 2015 commencing singleton removal, initial pass
  42. Fri Dec 4 12:47:43 2015 memory use: 2756.0 MB
  43. Fri Dec 4 12:47:43 2015 reading all ideals from disk
  44. Fri Dec 4 12:47:51 2015 memory use: 3472.4 MB
  45. Fri Dec 4 12:48:05 2015 keeping 87879110 ideals with weight <= 200, target excess is 468926
  46. Fri Dec 4 12:48:21 2015 commencing in-memory singleton removal
  47. Fri Dec 4 12:48:32 2015 begin with 93823367 relations and 87879110 unique ideals
  48. Fri Dec 4 12:50:18 2015 reduce to 56749039 relations and 46555172 ideals in 13 passes
  49. Fri Dec 4 12:50:18 2015 max relations containing the same ideal: 159
  50. Fri Dec 4 12:50:52 2015 removing 5573091 relations and 4573091 ideals in 1000000 cliques
  51. Fri Dec 4 12:50:55 2015 commencing in-memory singleton removal
  52. Fri Dec 4 12:50:59 2015 begin with 51175948 relations and 46555172 unique ideals
  53. Fri Dec 4 12:51:44 2015 reduce to 50718320 relations and 41514089 ideals in 9 passes
  54. Fri Dec 4 12:51:44 2015 max relations containing the same ideal: 147
  55. Fri Dec 4 12:52:12 2015 removing 4334469 relations and 3334469 ideals in 1000000 cliques
  56. Fri Dec 4 12:52:14 2015 commencing in-memory singleton removal
  57. Fri Dec 4 12:52:18 2015 begin with 46383851 relations and 41514089 unique ideals
  58. Fri Dec 4 12:52:54 2015 reduce to 46086627 relations and 37876434 ideals in 8 passes
  59. Fri Dec 4 12:52:54 2015 max relations containing the same ideal: 136
  60. Fri Dec 4 12:53:20 2015 removing 3935404 relations and 2935404 ideals in 1000000 cliques
  61. Fri Dec 4 12:53:22 2015 commencing in-memory singleton removal
  62. Fri Dec 4 12:53:25 2015 begin with 42151223 relations and 37876434 unique ideals
  63. Fri Dec 4 12:53:52 2015 reduce to 41887092 relations and 34671566 ideals in 7 passes
  64. Fri Dec 4 12:53:52 2015 max relations containing the same ideal: 122
  65. Fri Dec 4 12:54:14 2015 removing 3727574 relations and 2727574 ideals in 1000000 cliques
  66. Fri Dec 4 12:54:16 2015 commencing in-memory singleton removal
  67. Fri Dec 4 12:54:19 2015 begin with 38159518 relations and 34671566 unique ideals
  68. Fri Dec 4 12:54:43 2015 reduce to 37905085 relations and 31684119 ideals in 7 passes
  69. Fri Dec 4 12:54:43 2015 max relations containing the same ideal: 116
  70. Fri Dec 4 12:55:04 2015 removing 3599103 relations and 2599103 ideals in 1000000 cliques
  71. Fri Dec 4 12:55:05 2015 commencing in-memory singleton removal
  72. Fri Dec 4 12:55:08 2015 begin with 34305982 relations and 31684119 unique ideals
  73. Fri Dec 4 12:55:29 2015 reduce to 34049892 relations and 28822963 ideals in 7 passes
  74. Fri Dec 4 12:55:29 2015 max relations containing the same ideal: 109
  75. Fri Dec 4 12:55:46 2015 removing 3519306 relations and 2519306 ideals in 1000000 cliques
  76. Fri Dec 4 12:55:47 2015 commencing in-memory singleton removal
  77. Fri Dec 4 12:55:49 2015 begin with 30530586 relations and 28822963 unique ideals
  78. Fri Dec 4 12:56:08 2015 reduce to 30265818 relations and 26032118 ideals in 8 passes
  79. Fri Dec 4 12:56:08 2015 max relations containing the same ideal: 100
  80. Fri Dec 4 12:56:23 2015 removing 3466431 relations and 2466431 ideals in 1000000 cliques
  81. Fri Dec 4 12:56:24 2015 commencing in-memory singleton removal
  82. Fri Dec 4 12:56:26 2015 begin with 26799387 relations and 26032118 unique ideals
  83. Fri Dec 4 12:56:43 2015 reduce to 26517483 relations and 23275773 ideals in 8 passes
  84. Fri Dec 4 12:56:43 2015 max relations containing the same ideal: 92
  85. Fri Dec 4 12:56:56 2015 removing 3436373 relations and 2436373 ideals in 1000000 cliques
  86. Fri Dec 4 12:56:58 2015 commencing in-memory singleton removal
  87. Fri Dec 4 12:56:59 2015 begin with 23081110 relations and 23275773 unique ideals
  88. Fri Dec 4 12:57:12 2015 reduce to 22769126 relations and 20517347 ideals in 7 passes
  89. Fri Dec 4 12:57:12 2015 max relations containing the same ideal: 84
  90. Fri Dec 4 12:57:23 2015 removing 3417368 relations and 2417368 ideals in 1000000 cliques
  91. Fri Dec 4 12:57:25 2015 commencing in-memory singleton removal
  92. Fri Dec 4 12:57:26 2015 begin with 19351758 relations and 20517347 unique ideals
  93. Fri Dec 4 12:57:37 2015 reduce to 18999058 relations and 17733694 ideals in 7 passes
  94. Fri Dec 4 12:57:37 2015 max relations containing the same ideal: 74
  95. Fri Dec 4 12:57:46 2015 removing 2623161 relations and 1901752 ideals in 721409 cliques
  96. Fri Dec 4 12:57:47 2015 commencing in-memory singleton removal
  97. Fri Dec 4 12:57:48 2015 begin with 16375897 relations and 17733694 unique ideals
  98. Fri Dec 4 12:57:57 2015 reduce to 16128766 relations and 15576485 ideals in 7 passes
  99. Fri Dec 4 12:57:57 2015 max relations containing the same ideal: 65
  100. Fri Dec 4 12:58:05 2015 removing 61196 relations and 52870 ideals in 8326 cliques
  101. Fri Dec 4 12:58:05 2015 commencing in-memory singleton removal
  102. Fri Dec 4 12:58:06 2015 begin with 16067570 relations and 15576485 unique ideals
  103. Fri Dec 4 12:58:14 2015 reduce to 16067429 relations and 15523474 ideals in 4 passes
  104. Fri Dec 4 12:58:14 2015 max relations containing the same ideal: 64
  105. Fri Dec 4 12:58:18 2015 relations with 0 large ideals: 17428
  106. Fri Dec 4 12:58:18 2015 relations with 1 large ideals: 9356
  107. Fri Dec 4 12:58:18 2015 relations with 2 large ideals: 107211
  108. Fri Dec 4 12:58:18 2015 relations with 3 large ideals: 644587
  109. Fri Dec 4 12:58:18 2015 relations with 4 large ideals: 2050104
  110. Fri Dec 4 12:58:18 2015 relations with 5 large ideals: 3817270
  111. Fri Dec 4 12:58:18 2015 relations with 6 large ideals: 4354129
  112. Fri Dec 4 12:58:18 2015 relations with 7+ large ideals: 5067344
  113. Fri Dec 4 12:58:18 2015 commencing 2-way merge
  114. Fri Dec 4 12:58:27 2015 reduce to 10327888 relation sets and 9783933 unique ideals
  115. Fri Dec 4 12:58:27 2015 commencing full merge
  116. Fri Dec 4 13:03:50 2015 memory use: 1358.1 MB
  117. Fri Dec 4 13:03:51 2015 found 4651133 cycles, need 4634133
  118. Fri Dec 4 13:03:53 2015 weight of 4634133 cycles is about 556834034 (120.16/cycle)
  119. Fri Dec 4 13:03:53 2015 distribution of cycle lengths:
  120. Fri Dec 4 13:03:53 2015 1 relations: 174088
  121. Fri Dec 4 13:03:53 2015 2 relations: 270076
  122. Fri Dec 4 13:03:53 2015 3 relations: 315249
  123. Fri Dec 4 13:03:53 2015 4 relations: 323307
  124. Fri Dec 4 13:03:53 2015 5 relations: 330039
  125. Fri Dec 4 13:03:53 2015 6 relations: 326396
  126. Fri Dec 4 13:03:53 2015 7 relations: 318456
  127. Fri Dec 4 13:03:53 2015 8 relations: 307270
  128. Fri Dec 4 13:03:53 2015 9 relations: 291282
  129. Fri Dec 4 13:03:53 2015 10+ relations: 1977970
  130. Fri Dec 4 13:03:53 2015 heaviest cycle: 28 relations
  131. Fri Dec 4 13:03:55 2015 commencing cycle optimization
  132. Fri Dec 4 13:04:06 2015 start with 43104087 relations
  133. Fri Dec 4 13:06:08 2015 pruned 2077446 relations
  134. Fri Dec 4 13:06:08 2015 memory use: 1107.1 MB
  135. Fri Dec 4 13:06:08 2015 distribution of cycle lengths:
  136. Fri Dec 4 13:06:08 2015 1 relations: 174088
  137. Fri Dec 4 13:06:08 2015 2 relations: 276725
  138. Fri Dec 4 13:06:08 2015 3 relations: 328485
  139. Fri Dec 4 13:06:08 2015 4 relations: 336732
  140. Fri Dec 4 13:06:08 2015 5 relations: 347110
  141. Fri Dec 4 13:06:08 2015 6 relations: 342659
  142. Fri Dec 4 13:06:08 2015 7 relations: 335874
  143. Fri Dec 4 13:06:08 2015 8 relations: 323103
  144. Fri Dec 4 13:06:08 2015 9 relations: 306114
  145. Fri Dec 4 13:06:08 2015 10+ relations: 1863243
  146. Fri Dec 4 13:06:08 2015 heaviest cycle: 28 relations
  147. Fri Dec 4 13:06:19 2015 RelProcTime: 2986
  148. Fri Dec 4 13:06:19 2015 elapsed time 00:49:46
  149. Sat Dec 5 09:11:13 2015
  150. Sat Dec 5 09:11:13 2015
  151. Sat Dec 5 09:11:13 2015 Msieve v. 1.53 (SVN 984)
  152. Sat Dec 5 09:11:13 2015 random seeds: 18dac42b 0df18a30
  153. Sat Dec 5 09:11:13 2015 factoring 1136359884772129416039859690323853784270279439143775277072379985412462814781169172437992158542055435495498415319484201766334015519437849379125752022316694114166666994065763689933486100447326253195439089450297530604502339 (220 digits)
  154. Sat Dec 5 09:11:13 2015 commencing number field sieve (220-digit input)
  155. Sat Dec 5 09:11:13 2015 R0: -8206905916681621247496025280245410469
  156. Sat Dec 5 09:11:13 2015 R1: 1
  157. Sat Dec 5 09:11:13 2015 A0: -1
  158. Sat Dec 5 09:11:13 2015 A1: 0
  159. Sat Dec 5 09:11:13 2015 A2: 0
  160. Sat Dec 5 09:11:13 2015 A3: 0
  161. Sat Dec 5 09:11:13 2015 A4: 0
  162. Sat Dec 5 09:11:13 2015 A5: 0
  163. Sat Dec 5 09:11:13 2015 A6: 2269
  164. Sat Dec 5 09:11:13 2015 skew 1.00, size 5.270e-11, alpha -1.492, combined = 1.994e-12 rroots = 2
  165. Sat Dec 5 09:11:13 2015
  166. Sat Dec 5 09:11:13 2015 commencing linear algebra
  167. Sat Dec 5 09:11:14 2015 read 4634133 cycles
  168. Sat Dec 5 09:11:24 2015 cycles contain 15766919 unique relations
  169. Sat Dec 5 09:13:13 2015 read 15766919 relations
  170. Sat Dec 5 09:13:38 2015 using 20 quadratic characters above 4294917295
  171. Sat Dec 5 09:15:08 2015 building initial matrix
  172. Sat Dec 5 09:18:52 2015 memory use: 2028.7 MB
  173. Sat Dec 5 09:18:54 2015 read 4634133 cycles
  174. Sat Dec 5 09:18:55 2015 matrix is 4633956 x 4634133 (2165.7 MB) with weight 632944437 (136.58/col)
  175. Sat Dec 5 09:18:55 2015 sparse part has weight 516753963 (111.51/col)
  176. Sat Dec 5 09:19:48 2015 filtering completed in 2 passes
  177. Sat Dec 5 09:19:49 2015 matrix is 4633879 x 4634056 (2165.7 MB) with weight 632940734 (136.58/col)
  178. Sat Dec 5 09:19:49 2015 sparse part has weight 516752338 (111.51/col)
  179. Sat Dec 5 09:20:11 2015 matrix starts at (0, 0)
  180. Sat Dec 5 09:20:12 2015 matrix is 4633879 x 4634056 (2165.7 MB) with weight 632940734 (136.58/col)
  181. Sat Dec 5 09:20:12 2015 sparse part has weight 516752338 (111.51/col)
  182. Sat Dec 5 09:20:12 2015 saving the first 48 matrix rows for later
  183. Sat Dec 5 09:20:13 2015 matrix includes 64 packed rows
  184. Sat Dec 5 09:20:14 2015 matrix is 4633831 x 4634056 (2074.0 MB) with weight 538334379 (116.17/col)
  185. Sat Dec 5 09:20:14 2015 sparse part has weight 497352247 (107.33/col)
  186. Sat Dec 5 09:20:14 2015 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  187. Sat Dec 5 09:20:37 2015 commencing Lanczos iteration (7 threads)
  188. Sat Dec 5 09:20:37 2015 memory use: 1742.5 MB
  189. Sat Dec 5 09:20:49 2015 linear algebra at 0.0%, ETA 9h17m
  190. Sat Dec 5 09:20:53 2015 checkpointing every 490000 dimensions
  191. Sat Dec 5 17:26:44 2015 lanczos halted after 73279 iterations (dim = 4633831)
  192. Sat Dec 5 17:26:50 2015 recovered 34 nontrivial dependencies
  193. Sat Dec 5 17:26:50 2015 BLanczosTime: 29737
  194. Sat Dec 5 17:26:50 2015 elapsed time 08:15:37
  195. Sat Dec 5 17:26:50 2015
  196. Sat Dec 5 17:26:50 2015
  197. Sat Dec 5 17:26:50 2015 Msieve v. 1.53 (SVN 984)
  198. Sat Dec 5 17:26:50 2015 random seeds: 81b7e83f ec108c6b
  199. Sat Dec 5 17:26:50 2015 factoring 1136359884772129416039859690323853784270279439143775277072379985412462814781169172437992158542055435495498415319484201766334015519437849379125752022316694114166666994065763689933486100447326253195439089450297530604502339 (220 digits)
  200. Sat Dec 5 17:26:50 2015 commencing number field sieve (220-digit input)
  201. Sat Dec 5 17:26:50 2015 R0: -8206905916681621247496025280245410469
  202. Sat Dec 5 17:26:50 2015 R1: 1
  203. Sat Dec 5 17:26:50 2015 A0: -1
  204. Sat Dec 5 17:26:50 2015 A1: 0
  205. Sat Dec 5 17:26:50 2015 A2: 0
  206. Sat Dec 5 17:26:50 2015 A3: 0
  207. Sat Dec 5 17:26:50 2015 A4: 0
  208. Sat Dec 5 17:26:50 2015 A5: 0
  209. Sat Dec 5 17:26:50 2015 A6: 2269
  210. Sat Dec 5 17:26:50 2015 skew 1.00, size 5.270e-11, alpha -1.492, combined = 1.994e-12 rroots = 2
  211. Sat Dec 5 17:26:50 2015
  212. Sat Dec 5 17:26:50 2015 commencing square root phase
  213. Sat Dec 5 17:26:50 2015 reading relations for dependency 1
  214. Sat Dec 5 17:26:51 2015 read 2316853 cycles
  215. Sat Dec 5 17:26:54 2015 cycles contain 7884628 unique relations
  216. Sat Dec 5 17:27:40 2015 read 7884628 relations
  217. Sat Dec 5 17:28:10 2015 multiplying 7884628 relations
  218. Sat Dec 5 17:36:13 2015 multiply complete, coefficients have about 271.74 million bits
  219. Sat Dec 5 17:36:14 2015 initial square root is modulo 75181
  220. Sat Dec 5 17:44:54 2015 sqrtTime: 1084
  221. Sat Dec 5 17:44:54 2015 p91 factor: 2132511512443414333678564691107777973475861603076069009971937493950396472549072567490874627
  222. Sat Dec 5 17:44:54 2015 p129 factor: 532873974251185874870260239618395036338610187500129178927301700770853208890035150980092485967757603488674407284211962191930161857
  223. Sat Dec 5 17:44:54 2015 elapsed time 00:18:04
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