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11_236_plus_10_236

mersenneforum
Apr 18th, 2016
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  1. Wed Apr 06 20:54:21 2016
  2. Wed Apr 06 20:54:21 2016
  3. Wed Apr 06 20:54:21 2016 Msieve v. 1.52 (SVN unknown)
  4. Wed Apr 06 20:54:21 2016 random seeds: 06dde100 d36e3a99
  5. Wed Apr 06 20:54:21 2016 factoring 4190874636620509694702574777706705449939801841711565112371026068300258754293963524241164034630380011379617324507369252626379680892398708829097809899973417281637130190777773727970214892656754378629753027217049 (208 digits)
  6. Wed Apr 06 20:54:23 2016 no P-1/P+1/ECM available, skipping
  7. Wed Apr 06 20:54:23 2016 commencing number field sieve (208-digit input)
  8. Wed Apr 06 20:54:23 2016 R0: 41144777789250865278081232758997200423491
  9. Wed Apr 06 20:54:23 2016 R1: -1000000000000000000000000000000000000000
  10. Wed Apr 06 20:54:23 2016 A0: 100
  11. Wed Apr 06 20:54:23 2016 A1: 0
  12. Wed Apr 06 20:54:23 2016 A2: 0
  13. Wed Apr 06 20:54:23 2016 A3: 0
  14. Wed Apr 06 20:54:23 2016 A4: 0
  15. Wed Apr 06 20:54:23 2016 A5: 0
  16. Wed Apr 06 20:54:23 2016 A6: 121
  17. Wed Apr 06 20:54:23 2016 skew 1.00, size 2.899e-012, alpha -0.426, combined = 2.627e-013 rroots = 0
  18. Wed Apr 06 20:54:23 2016
  19. Wed Apr 06 20:54:23 2016 commencing relation filtering
  20. Wed Apr 06 20:54:23 2016 setting target matrix density to 116.0
  21. Wed Apr 06 20:54:23 2016 estimated available RAM is 8098.7 MB
  22. Wed Apr 06 20:54:23 2016 commencing duplicate removal, pass 1
  23. Wed Apr 06 20:55:15 2016 error -5 reading relation 4314987
  24. Wed Apr 06 20:59:48 2016 error -9 reading relation 27099702
  25. Wed Apr 06 20:59:51 2016 error -9 reading relation 27357035
  26. Wed Apr 06 20:59:55 2016 error -9 reading relation 27652029
  27. Wed Apr 06 21:08:27 2016 error -9 reading relation 70676801
  28. Wed Apr 06 21:20:46 2016 error -15 reading relation 133383418
  29. Wed Apr 06 21:25:29 2016 error -15 reading relation 157681025
  30. Wed Apr 06 21:27:04 2016 error -9 reading relation 165779551
  31. Wed Apr 06 21:27:09 2016 error -1 reading relation 166167543
  32. Wed Apr 06 21:27:13 2016 error -15 reading relation 166511505
  33. Wed Apr 06 21:27:16 2016 error -9 reading relation 166774225
  34. Wed Apr 06 21:27:16 2016 error -9 reading relation 166779644
  35. Wed Apr 06 21:27:16 2016 error -15 reading relation 166789177
  36. Wed Apr 06 21:29:39 2016 error -9 reading relation 178649685
  37. Wed Apr 06 21:30:14 2016 error -15 reading relation 181685774
  38. Wed Apr 06 21:30:20 2016 error -9 reading relation 182236100
  39. Wed Apr 06 21:30:26 2016 error -15 reading relation 182777699
  40. Wed Apr 06 21:30:32 2016 error -9 reading relation 183396457
  41. Wed Apr 06 21:30:51 2016 error -1 reading relation 185151654
  42. Wed Apr 06 21:30:52 2016 error -9 reading relation 185168050
  43. Wed Apr 06 21:30:52 2016 error -15 reading relation 185168175
  44. Wed Apr 06 21:30:53 2016 error -9 reading relation 185306738
  45. Wed Apr 06 21:30:53 2016 error -15 reading relation 185322920
  46. Wed Apr 06 21:30:53 2016 error -15 reading relation 185323094
  47. Wed Apr 06 21:30:53 2016 error -15 reading relation 185331100
  48. Wed Apr 06 21:30:55 2016 error -15 reading relation 185429901
  49. Wed Apr 06 21:30:55 2016 error -9 reading relation 185445975
  50. Wed Apr 06 21:30:55 2016 error -15 reading relation 185446125
  51. Wed Apr 06 21:30:55 2016 error -15 reading relation 185454045
  52. Wed Apr 06 21:31:54 2016 error -1 reading relation 190487359
  53. Wed Apr 06 21:33:01 2016 error -9 reading relation 196409661
  54. Wed Apr 06 21:33:05 2016 error -5 reading relation 196746855
  55. Wed Apr 06 21:33:17 2016 error -15 reading relation 197767926
  56. Wed Apr 06 21:33:45 2016 error -1 reading relation 200276505
  57. Wed Apr 06 21:33:49 2016 error -5 reading relation 200644479
  58. Wed Apr 06 21:33:50 2016 error -9 reading relation 200708239
  59. Wed Apr 06 21:33:53 2016 error -15 reading relation 200929517
  60. Wed Apr 06 21:33:57 2016 error -15 reading relation 201254949
  61. Wed Apr 06 21:34:02 2016 error -15 reading relation 201744262
  62. Wed Apr 06 21:34:02 2016 error -11 reading relation 201775176
  63. Wed Apr 06 21:34:03 2016 error -15 reading relation 201809123
  64. Wed Apr 06 21:34:03 2016 error -9 reading relation 201846379
  65. Wed Apr 06 21:34:04 2016 error -9 reading relation 201879965
  66. Wed Apr 06 21:34:10 2016 error -15 reading relation 202461881
  67. Wed Apr 06 21:34:27 2016 error -9 reading relation 204001930
  68. Wed Apr 06 21:34:29 2016 error -9 reading relation 204149720
  69. Wed Apr 06 21:34:44 2016 error -9 reading relation 205505064
  70. Wed Apr 06 21:34:44 2016 error -15 reading relation 205520800
  71. Wed Apr 06 21:34:59 2016 error -15 reading relation 206760804
  72. Wed Apr 06 21:35:06 2016 error -11 reading relation 207397229
  73. Wed Apr 06 21:35:06 2016 error -15 reading relation 207398710
  74. Wed Apr 06 21:35:46 2016 error -15 reading relation 210803965
  75. Wed Apr 06 21:35:47 2016 error -9 reading relation 210906604
  76. Wed Apr 06 21:35:48 2016 error -15 reading relation 210923446
  77. Wed Apr 06 21:36:00 2016 error -9 reading relation 211929442
  78. Wed Apr 06 21:36:00 2016 error -15 reading relation 211946860
  79. Wed Apr 06 21:37:33 2016 error -9 reading relation 220020806
  80. Wed Apr 06 21:37:36 2016 error -9 reading relation 220251324
  81. Wed Apr 06 21:37:36 2016 error -15 reading relation 220252678
  82. Wed Apr 06 21:38:17 2016 skipped 63 relations with b > 2^32
  83. Wed Apr 06 21:38:17 2016 found 45597328 hash collisions in 221719363 relations
  84. Wed Apr 06 21:38:42 2016 commencing duplicate removal, pass 2
  85. Wed Apr 06 21:43:40 2016 found 46150682 duplicates and 175568681 unique relations
  86. Wed Apr 06 21:43:40 2016 memory use: 1321.5 MB
  87. Wed Apr 06 21:43:40 2016 reading ideals above 179896320
  88. Wed Apr 06 21:43:40 2016 commencing singleton removal, initial pass
  89. Wed Apr 06 22:23:27 2016 memory use: 3012.0 MB
  90. Wed Apr 06 22:23:27 2016 reading all ideals from disk
  91. Wed Apr 06 22:24:12 2016 memory use: 2870.0 MB
  92. Wed Apr 06 22:24:19 2016 commencing in-memory singleton removal
  93. Wed Apr 06 22:24:25 2016 begin with 175568681 relations and 151004800 unique ideals
  94. Wed Apr 06 22:25:55 2016 reduce to 101472927 relations and 68053467 ideals in 20 passes
  95. Wed Apr 06 22:25:55 2016 max relations containing the same ideal: 26
  96. Wed Apr 06 22:26:04 2016 reading ideals above 720000
  97. Wed Apr 06 22:26:04 2016 commencing singleton removal, initial pass
  98. Wed Apr 06 22:53:40 2016 memory use: 2756.0 MB
  99. Wed Apr 06 22:53:40 2016 reading all ideals from disk
  100. Wed Apr 06 22:54:45 2016 memory use: 3992.9 MB
  101. Wed Apr 06 22:54:58 2016 keeping 87582072 ideals with weight <= 200, target excess is 518353
  102. Wed Apr 06 22:55:12 2016 commencing in-memory singleton removal
  103. Wed Apr 06 22:55:22 2016 begin with 101472927 relations and 87582072 unique ideals
  104. Wed Apr 06 22:57:04 2016 reduce to 101420773 relations and 87529884 ideals in 10 passes
  105. Wed Apr 06 22:57:04 2016 max relations containing the same ideal: 200
  106. Wed Apr 06 22:58:00 2016 removing 11925271 relations and 9925271 ideals in 2000000 cliques
  107. Wed Apr 06 22:58:04 2016 commencing in-memory singleton removal
  108. Wed Apr 06 22:58:14 2016 begin with 89495502 relations and 87529884 unique ideals
  109. Wed Apr 06 22:59:35 2016 reduce to 88464702 relations and 76548544 ideals in 9 passes
  110. Wed Apr 06 22:59:35 2016 max relations containing the same ideal: 193
  111. Wed Apr 06 23:00:25 2016 removing 9033146 relations and 7033146 ideals in 2000000 cliques
  112. Wed Apr 06 23:00:28 2016 commencing in-memory singleton removal
  113. Wed Apr 06 23:00:36 2016 begin with 79431556 relations and 76548544 unique ideals
  114. Wed Apr 06 23:01:39 2016 reduce to 78741014 relations and 68809673 ideals in 8 passes
  115. Wed Apr 06 23:01:39 2016 max relations containing the same ideal: 178
  116. Wed Apr 06 23:02:22 2016 removing 8147943 relations and 6147943 ideals in 2000000 cliques
  117. Wed Apr 06 23:02:25 2016 commencing in-memory singleton removal
  118. Wed Apr 06 23:02:32 2016 begin with 70593071 relations and 68809673 unique ideals
  119. Wed Apr 06 23:03:33 2016 reduce to 69969490 relations and 62023558 ideals in 9 passes
  120. Wed Apr 06 23:03:33 2016 max relations containing the same ideal: 165
  121. Wed Apr 06 23:04:12 2016 removing 7700255 relations and 5700255 ideals in 2000000 cliques
  122. Wed Apr 06 23:04:14 2016 commencing in-memory singleton removal
  123. Wed Apr 06 23:04:20 2016 begin with 62269235 relations and 62023558 unique ideals
  124. Wed Apr 06 23:05:07 2016 reduce to 61659220 relations and 55697888 ideals in 8 passes
  125. Wed Apr 06 23:05:07 2016 max relations containing the same ideal: 153
  126. Wed Apr 06 23:05:42 2016 removing 7421048 relations and 5421048 ideals in 2000000 cliques
  127. Wed Apr 06 23:05:44 2016 commencing in-memory singleton removal
  128. Wed Apr 06 23:05:50 2016 begin with 54238172 relations and 55697888 unique ideals
  129. Wed Apr 06 23:06:30 2016 reduce to 53607509 relations and 49628277 ideals in 8 passes
  130. Wed Apr 06 23:06:30 2016 max relations containing the same ideal: 141
  131. Wed Apr 06 23:07:01 2016 removing 7232102 relations and 5232102 ideals in 2000000 cliques
  132. Wed Apr 06 23:07:03 2016 commencing in-memory singleton removal
  133. Wed Apr 06 23:07:07 2016 begin with 46375407 relations and 49628277 unique ideals
  134. Wed Apr 06 23:07:41 2016 reduce to 45694355 relations and 43693038 ideals in 8 passes
  135. Wed Apr 06 23:07:41 2016 max relations containing the same ideal: 129
  136. Wed Apr 06 23:08:07 2016 removing 5354275 relations and 3954248 ideals in 1400027 cliques
  137. Wed Apr 06 23:08:09 2016 commencing in-memory singleton removal
  138. Wed Apr 06 23:08:13 2016 begin with 40340080 relations and 43693038 unique ideals
  139. Wed Apr 06 23:08:46 2016 reduce to 39908699 relations and 39295807 ideals in 9 passes
  140. Wed Apr 06 23:08:46 2016 max relations containing the same ideal: 116
  141. Wed Apr 06 23:09:09 2016 removing 91579 relations and 79977 ideals in 11602 cliques
  142. Wed Apr 06 23:09:09 2016 commencing in-memory singleton removal
  143. Wed Apr 06 23:09:13 2016 begin with 39817120 relations and 39295807 unique ideals
  144. Wed Apr 06 23:09:31 2016 reduce to 39817012 relations and 39215722 ideals in 5 passes
  145. Wed Apr 06 23:09:31 2016 max relations containing the same ideal: 116
  146. Wed Apr 06 23:09:41 2016 relations with 0 large ideals: 19742
  147. Wed Apr 06 23:09:41 2016 relations with 1 large ideals: 4936
  148. Wed Apr 06 23:09:41 2016 relations with 2 large ideals: 68782
  149. Wed Apr 06 23:09:41 2016 relations with 3 large ideals: 540442
  150. Wed Apr 06 23:09:41 2016 relations with 4 large ideals: 2332529
  151. Wed Apr 06 23:09:41 2016 relations with 5 large ideals: 6064802
  152. Wed Apr 06 23:09:41 2016 relations with 6 large ideals: 9871519
  153. Wed Apr 06 23:09:41 2016 relations with 7+ large ideals: 20914260
  154. Wed Apr 06 23:09:41 2016 commencing 2-way merge
  155. Wed Apr 06 23:10:10 2016 reduce to 26050598 relation sets and 25449308 unique ideals
  156. Wed Apr 06 23:10:10 2016 commencing full merge
  157. Wed Apr 06 23:23:10 2016 memory use: 3366.8 MB
  158. Wed Apr 06 23:23:14 2016 found 11832364 cycles, need 11827508
  159. Wed Apr 06 23:23:15 2016 weight of 11827508 cycles is about 1372197087 (116.02/cycle)
  160. Wed Apr 06 23:23:15 2016 distribution of cycle lengths:
  161. Wed Apr 06 23:23:15 2016 1 relations: 545064
  162. Wed Apr 06 23:23:15 2016 2 relations: 761182
  163. Wed Apr 06 23:23:15 2016 3 relations: 882475
  164. Wed Apr 06 23:23:15 2016 4 relations: 904617
  165. Wed Apr 06 23:23:15 2016 5 relations: 913968
  166. Wed Apr 06 23:23:15 2016 6 relations: 887887
  167. Wed Apr 06 23:23:15 2016 7 relations: 858115
  168. Wed Apr 06 23:23:15 2016 8 relations: 808073
  169. Wed Apr 06 23:23:15 2016 9 relations: 753215
  170. Wed Apr 06 23:23:15 2016 10+ relations: 4512912
  171. Wed Apr 06 23:23:15 2016 heaviest cycle: 28 relations
  172. Wed Apr 06 23:23:17 2016 commencing cycle optimization
  173. Wed Apr 06 23:23:39 2016 start with 102540503 relations
  174. Wed Apr 06 23:29:19 2016 pruned 4468168 relations
  175. Wed Apr 06 23:29:19 2016 memory use: 2715.9 MB
  176. Wed Apr 06 23:29:19 2016 distribution of cycle lengths:
  177. Wed Apr 06 23:29:19 2016 1 relations: 545064
  178. Wed Apr 06 23:29:19 2016 2 relations: 779886
  179. Wed Apr 06 23:29:19 2016 3 relations: 920072
  180. Wed Apr 06 23:29:19 2016 4 relations: 940896
  181. Wed Apr 06 23:29:19 2016 5 relations: 957155
  182. Wed Apr 06 23:29:19 2016 6 relations: 927938
  183. Wed Apr 06 23:29:19 2016 7 relations: 898454
  184. Wed Apr 06 23:29:19 2016 8 relations: 841606
  185. Wed Apr 06 23:29:19 2016 9 relations: 782095
  186. Wed Apr 06 23:29:19 2016 10+ relations: 4234342
  187. Wed Apr 06 23:29:19 2016 heaviest cycle: 28 relations
  188. Wed Apr 06 23:29:53 2016 RelProcTime: 9330
  189. Wed Apr 06 23:29:53 2016
  190. Wed Apr 06 23:29:53 2016 commencing linear algebra
  191. Wed Apr 06 23:29:56 2016 read 11827508 cycles
  192. Wed Apr 06 23:30:24 2016 cycles contain 39463688 unique relations
  193. Wed Apr 06 23:39:15 2016 read 39463688 relations
  194. Wed Apr 06 23:40:42 2016 using 20 quadratic characters above 2147483630
  195. Wed Apr 06 23:44:07 2016 building initial matrix
  196. Wed Apr 06 23:54:29 2016 memory use: 5003.5 MB
  197. Wed Apr 06 23:56:07 2016 read 11827508 cycles
  198. Wed Apr 06 23:56:11 2016 matrix is 11827331 x 11827508 (5428.7 MB) with weight 1561290021 (132.00/col)
  199. Wed Apr 06 23:56:11 2016 sparse part has weight 1292998244 (109.32/col)
  200. Wed Apr 06 23:59:14 2016 filtering completed in 2 passes
  201. Wed Apr 06 23:59:18 2016 matrix is 11827265 x 11827442 (5428.7 MB) with weight 1561287743 (132.01/col)
  202. Wed Apr 06 23:59:18 2016 sparse part has weight 1292997527 (109.32/col)
  203. Thu Apr 07 00:09:41 2016 matrix starts at (0, 0)
  204. Thu Apr 07 00:09:46 2016 matrix is 11827265 x 11827442 (5428.7 MB) with weight 1561287743 (132.01/col)
  205. Thu Apr 07 00:09:46 2016 sparse part has weight 1292997527 (109.32/col)
  206. Thu Apr 07 00:09:46 2016 saving the first 48 matrix rows for later
  207. Thu Apr 07 00:09:51 2016 matrix includes 64 packed rows
  208. Thu Apr 07 00:09:54 2016 matrix is 11827217 x 11827442 (5203.0 MB) with weight 1348419368 (114.01/col)
  209. Thu Apr 07 00:09:54 2016 sparse part has weight 1245660221 (105.32/col)
  210. Thu Apr 07 00:09:54 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  211. Thu Apr 07 00:18:55 2016 commencing Lanczos iteration (4 threads)
  212. Thu Apr 07 00:18:55 2016 memory use: 4418.3 MB
  213. Thu Apr 07 00:24:13 2016 linear algebra at 0.0%, ETA 149h24m
  214. Thu Apr 07 00:24:40 2016 checkpointing every 80000 dimensions
  215. Sat Apr 16 12:50:33 2016 lanczos halted after 187037 iterations (dim = 11827217)
  216. Sat Apr 16 12:51:26 2016 recovered 43 nontrivial dependencies
  217. Sat Apr 16 12:53:10 2016 BLanczosTime: 825797
  218. Sat Apr 16 12:53:10 2016
  219. Sat Apr 16 12:53:10 2016 commencing square root phase
  220. Sat Apr 16 12:53:10 2016 handling dependencies 1 to 64
  221. Sat Apr 16 12:53:10 2016 reading relations for dependency 1
  222. Sat Apr 16 12:53:16 2016 read 5914581 cycles
  223. Sat Apr 16 12:53:30 2016 cycles contain 19727124 unique relations
  224. Sat Apr 16 12:58:45 2016 read 19727124 relations
  225. Sat Apr 16 13:00:52 2016 multiplying 19727124 relations
  226. Sat Apr 16 13:31:47 2016 multiply complete, coefficients have about 630.07 million bits
  227. Sat Apr 16 13:31:56 2016 initial square root is modulo 449959
  228. Sat Apr 16 14:06:58 2016 GCD is 1, no factor found
  229. Sat Apr 16 14:06:58 2016 reading relations for dependency 2
  230. Sat Apr 16 14:07:01 2016 read 5915159 cycles
  231. Sat Apr 16 14:07:14 2016 cycles contain 19735162 unique relations
  232. Sat Apr 16 14:12:21 2016 read 19735162 relations
  233. Sat Apr 16 14:14:29 2016 multiplying 19735162 relations
  234. Sat Apr 16 14:44:52 2016 multiply complete, coefficients have about 630.33 million bits
  235. Sat Apr 16 14:45:00 2016 initial square root is modulo 451879
  236. Sat Apr 16 15:20:39 2016 GCD is N, no factor found
  237. Sat Apr 16 15:20:39 2016 reading relations for dependency 3
  238. Sat Apr 16 15:21:06 2016 read 5912627 cycles
  239. Sat Apr 16 15:21:19 2016 cycles contain 19728344 unique relations
  240. Sat Apr 16 15:26:25 2016 read 19728344 relations
  241. Sat Apr 16 15:28:32 2016 multiplying 19728344 relations
  242. Sat Apr 16 15:59:21 2016 multiply complete, coefficients have about 630.11 million bits
  243. Sat Apr 16 15:59:29 2016 initial square root is modulo 449959
  244. Sat Apr 16 16:34:24 2016 sqrtTime: 13274
  245. Sat Apr 16 16:34:24 2016 prp84 factor: 124503757788091216030579140426602765968307558900197785203218461204288984421849832153
  246. Sat Apr 16 16:34:24 2016 prp125 factor: 33660627687667808192935660198370490445760529457013395518273640689907685261042313358421205056550840769459628529610052323652033
  247. Sat Apr 16 16:34:24 2016 elapsed time 235:40:03
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