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Apr 6th, 2015
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  1. Sun Mar 29 20:04:36 2015
  2. Sun Mar 29 20:04:36 2015 Msieve v. 1.52 (SVN 956M)
  3. Sun Mar 29 20:04:36 2015 random seeds: 23c8e229 b59815d1
  4. Sun Mar 29 20:04:36 2015 factoring 511714138028156117181562830338730943776387239213733268682097474235253208588992138069933090930995821535903065522310439499781235719365131898237511037746676378948975788979066064316710627428640989430403070377 (204 digits)
  5. Sun Mar 29 20:04:37 2015 no P-1/P+1/ECM available, skipping
  6. Sun Mar 29 20:04:37 2015 commencing number field sieve (204-digit input)
  7. Sun Mar 29 20:04:37 2015 R0: -43556142965880123323311949751266331066368
  8. Sun Mar 29 20:04:37 2015 R1: 1
  9. Sun Mar 29 20:04:37 2015 A0: -1
  10. Sun Mar 29 20:04:37 2015 A1: 0
  11. Sun Mar 29 20:04:37 2015 A2: 0
  12. Sun Mar 29 20:04:37 2015 A3: 0
  13. Sun Mar 29 20:04:37 2015 A4: 0
  14. Sun Mar 29 20:04:37 2015 A5: 0
  15. Sun Mar 29 20:04:37 2015 A6: 13024
  16. Sun Mar 29 20:04:37 2015 skew 1.00, size 2.493e-12, alpha -0.410, combined = 2.130e-13 rroots = 2
  17. Sun Mar 29 20:04:37 2015
  18. Sun Mar 29 20:04:37 2015 commencing relation filtering
  19. Sun Mar 29 20:04:37 2015 estimated available RAM is 15966.4 MB
  20. Sun Mar 29 20:04:37 2015 commencing duplicate removal, pass 1
  21. Sun Mar 29 20:05:59 2015 error -1 reading relation 22015252
  22. Sun Mar 29 20:07:51 2015 error -9 reading relation 51868824
  23. Sun Mar 29 20:09:39 2015 error -9 reading relation 80685832
  24. Sun Mar 29 20:09:39 2015 error -9 reading relation 80686368
  25. Sun Mar 29 20:11:20 2015 error -9 reading relation 107854988
  26. Sun Mar 29 20:11:20 2015 error -9 reading relation 107859554
  27. Sun Mar 29 20:11:42 2015 error -9 reading relation 113734163
  28. Sun Mar 29 20:11:42 2015 error -9 reading relation 113929499
  29. Sun Mar 29 20:11:43 2015 error -9 reading relation 114152838
  30. Sun Mar 29 20:13:50 2015 error -15 reading relation 147982114
  31. Sun Mar 29 20:14:01 2015 error -15 reading relation 150967149
  32. Sun Mar 29 20:14:04 2015 error -9 reading relation 151578121
  33. Sun Mar 29 20:14:16 2015 error -1 reading relation 154891466
  34. Sun Mar 29 20:14:16 2015 error -1 reading relation 154891467
  35. Sun Mar 29 20:14:39 2015 error -1 reading relation 161109005
  36. Sun Mar 29 20:14:39 2015 error -1 reading relation 161168737
  37. Sun Mar 29 20:14:49 2015 error -15 reading relation 163811529
  38. Sun Mar 29 20:14:49 2015 error -11 reading relation 163817932
  39. Sun Mar 29 20:15:16 2015 error -9 reading relation 171378379
  40. Sun Mar 29 20:15:17 2015 error -9 reading relation 171660243
  41. Sun Mar 29 20:15:22 2015 error -5 reading relation 173050555
  42. Sun Mar 29 20:15:22 2015 error -1 reading relation 173210399
  43. Sun Mar 29 20:15:25 2015 error -9 reading relation 173947174
  44. Sun Mar 29 20:15:28 2015 error -9 reading relation 174861006
  45. Sun Mar 29 20:15:39 2015 error -9 reading relation 177901162
  46. Sun Mar 29 20:15:41 2015 error -15 reading relation 178455488
  47. Sun Mar 29 20:16:09 2015 error -15 reading relation 186159155
  48. Sun Mar 29 20:16:14 2015 error -9 reading relation 187599362
  49. Sun Mar 29 20:16:16 2015 error -15 reading relation 188052361
  50. Sun Mar 29 20:16:18 2015 error -15 reading relation 188727780
  51. Sun Mar 29 20:16:24 2015 error -9 reading relation 190437158
  52. Sun Mar 29 20:16:35 2015 error -15 reading relation 193585326
  53. Sun Mar 29 20:16:44 2015 error -15 reading relation 195971926
  54. Sun Mar 29 20:16:50 2015 error -9 reading relation 197514990
  55. Sun Mar 29 20:16:50 2015 error -5 reading relation 197557821
  56. Sun Mar 29 20:16:50 2015 error -9 reading relation 197577985
  57. Sun Mar 29 20:16:52 2015 error -15 reading relation 198209567
  58. Sun Mar 29 20:16:58 2015 error -9 reading relation 199734600
  59. Sun Mar 29 20:16:58 2015 error -9 reading relation 199947211
  60. Sun Mar 29 20:16:59 2015 error -15 reading relation 200066404
  61. Sun Mar 29 20:17:01 2015 error -5 reading relation 200743846
  62. Sun Mar 29 20:17:04 2015 error -9 reading relation 201595162
  63. Sun Mar 29 20:17:20 2015 error -9 reading relation 205840706
  64. Sun Mar 29 20:17:21 2015 error -9 reading relation 206246508
  65. Sun Mar 29 20:17:23 2015 error -15 reading relation 206729659
  66. Sun Mar 29 20:17:25 2015 error -15 reading relation 207230111
  67. Sun Mar 29 20:17:39 2015 error -9 reading relation 211349746
  68. Sun Mar 29 20:17:49 2015 error -15 reading relation 214075211
  69. Sun Mar 29 20:17:57 2015 skipped 766 relations with b > 2^32
  70. Sun Mar 29 20:17:57 2015 found 44671574 hash collisions in 216115217 relations
  71. Sun Mar 29 20:18:09 2015 added 1217351 free relations
  72. Sun Mar 29 20:18:09 2015 commencing duplicate removal, pass 2
  73. Sun Mar 29 20:19:08 2015 found 45511992 duplicates and 171820576 unique relations
  74. Sun Mar 29 20:19:08 2015 memory use: 1321.5 MB
  75. Sun Mar 29 20:19:08 2015 reading ideals above 179896320
  76. Sun Mar 29 20:19:08 2015 commencing singleton removal, initial pass
  77. Sun Mar 29 20:31:25 2015 memory use: 3012.0 MB
  78. Sun Mar 29 20:31:25 2015 reading all ideals from disk
  79. Sun Mar 29 20:31:30 2015 memory use: 2810.7 MB
  80. Sun Mar 29 20:31:35 2015 commencing in-memory singleton removal
  81. Sun Mar 29 20:31:39 2015 begin with 171820576 relations and 149949809 unique ideals
  82. Sun Mar 29 20:32:27 2015 reduce to 96298179 relations and 65083558 ideals in 18 passes
  83. Sun Mar 29 20:32:27 2015 max relations containing the same ideal: 27
  84. Sun Mar 29 20:32:30 2015 reading ideals above 720000
  85. Sun Mar 29 20:32:31 2015 commencing singleton removal, initial pass
  86. Sun Mar 29 20:41:27 2015 memory use: 2756.0 MB
  87. Sun Mar 29 20:41:27 2015 reading all ideals from disk
  88. Sun Mar 29 20:41:33 2015 memory use: 3788.2 MB
  89. Sun Mar 29 20:41:43 2015 keeping 84630403 ideals with weight <= 200, target excess is 491310
  90. Sun Mar 29 20:41:52 2015 commencing in-memory singleton removal
  91. Sun Mar 29 20:41:58 2015 begin with 96298179 relations and 84630403 unique ideals
  92. Sun Mar 29 20:42:59 2015 reduce to 96231029 relations and 84563178 ideals in 10 passes
  93. Sun Mar 29 20:42:59 2015 max relations containing the same ideal: 200
  94. Sun Mar 29 20:43:33 2015 removing 12186902 relations and 10186902 ideals in 2000000 cliques
  95. Sun Mar 29 20:43:35 2015 commencing in-memory singleton removal
  96. Sun Mar 29 20:43:40 2015 begin with 84044127 relations and 84563178 unique ideals
  97. Sun Mar 29 20:44:28 2015 reduce to 82898748 relations and 73200713 ideals in 9 passes
  98. Sun Mar 29 20:44:28 2015 max relations containing the same ideal: 190
  99. Sun Mar 29 20:44:57 2015 removing 9228392 relations and 7228392 ideals in 2000000 cliques
  100. Sun Mar 29 20:44:59 2015 commencing in-memory singleton removal
  101. Sun Mar 29 20:45:03 2015 begin with 73670356 relations and 73200713 unique ideals
  102. Sun Mar 29 20:45:45 2015 reduce to 72896868 relations and 65180076 ideals in 9 passes
  103. Sun Mar 29 20:45:45 2015 max relations containing the same ideal: 176
  104. Sun Mar 29 20:46:11 2015 removing 8328868 relations and 6328868 ideals in 2000000 cliques
  105. Sun Mar 29 20:46:13 2015 commencing in-memory singleton removal
  106. Sun Mar 29 20:46:17 2015 begin with 64568000 relations and 65180076 unique ideals
  107. Sun Mar 29 20:46:49 2015 reduce to 63859752 relations and 58125063 ideals in 8 passes
  108. Sun Mar 29 20:46:49 2015 max relations containing the same ideal: 166
  109. Sun Mar 29 20:47:11 2015 removing 7870621 relations and 5870621 ideals in 2000000 cliques
  110. Sun Mar 29 20:47:13 2015 commencing in-memory singleton removal
  111. Sun Mar 29 20:47:17 2015 begin with 55989131 relations and 58125063 unique ideals
  112. Sun Mar 29 20:47:48 2015 reduce to 55281145 relations and 51526906 ideals in 9 passes
  113. Sun Mar 29 20:47:48 2015 max relations containing the same ideal: 150
  114. Sun Mar 29 20:48:08 2015 removing 7585505 relations and 5585505 ideals in 2000000 cliques
  115. Sun Mar 29 20:48:09 2015 commencing in-memory singleton removal
  116. Sun Mar 29 20:48:12 2015 begin with 47695640 relations and 51526906 unique ideals
  117. Sun Mar 29 20:48:36 2015 reduce to 46948013 relations and 45169868 ideals in 8 passes
  118. Sun Mar 29 20:48:36 2015 max relations containing the same ideal: 131
  119. Sun Mar 29 20:48:52 2015 removing 4975805 relations and 3767580 ideals in 1208225 cliques
  120. Sun Mar 29 20:48:54 2015 commencing in-memory singleton removal
  121. Sun Mar 29 20:48:56 2015 begin with 41972208 relations and 45169868 unique ideals
  122. Sun Mar 29 20:49:17 2015 reduce to 41609300 relations and 41031251 ideals in 8 passes
  123. Sun Mar 29 20:49:17 2015 max relations containing the same ideal: 124
  124. Sun Mar 29 20:49:32 2015 removing 68071 relations and 59942 ideals in 8129 cliques
  125. Sun Mar 29 20:49:33 2015 commencing in-memory singleton removal
  126. Sun Mar 29 20:49:35 2015 begin with 41541229 relations and 41031251 unique ideals
  127. Sun Mar 29 20:49:46 2015 reduce to 41541162 relations and 40971242 ideals in 4 passes
  128. Sun Mar 29 20:49:46 2015 max relations containing the same ideal: 123
  129. Sun Mar 29 20:49:52 2015 relations with 0 large ideals: 18740
  130. Sun Mar 29 20:49:52 2015 relations with 1 large ideals: 4147
  131. Sun Mar 29 20:49:52 2015 relations with 2 large ideals: 59243
  132. Sun Mar 29 20:49:52 2015 relations with 3 large ideals: 488203
  133. Sun Mar 29 20:49:52 2015 relations with 4 large ideals: 2188868
  134. Sun Mar 29 20:49:52 2015 relations with 5 large ideals: 5906555
  135. Sun Mar 29 20:49:52 2015 relations with 6 large ideals: 10038412
  136. Sun Mar 29 20:49:52 2015 relations with 7+ large ideals: 22836994
  137. Sun Mar 29 20:49:52 2015 commencing 2-way merge
  138. Sun Mar 29 20:50:11 2015 reduce to 26961442 relation sets and 26391522 unique ideals
  139. Sun Mar 29 20:50:11 2015 commencing full merge
  140. Sun Mar 29 20:54:39 2015 memory use: 3239.5 MB
  141. Sun Mar 29 20:54:41 2015 found 14609754 cycles, need 14531722
  142. Sun Mar 29 20:54:45 2015 weight of 14531722 cycles is about 1017547292 (70.02/cycle)
  143. Sun Mar 29 20:54:45 2015 distribution of cycle lengths:
  144. Sun Mar 29 20:54:45 2015 1 relations: 1713065
  145. Sun Mar 29 20:54:45 2015 2 relations: 1824213
  146. Sun Mar 29 20:54:45 2015 3 relations: 1837645
  147. Sun Mar 29 20:54:45 2015 4 relations: 1698159
  148. Sun Mar 29 20:54:45 2015 5 relations: 1543846
  149. Sun Mar 29 20:54:45 2015 6 relations: 1348487
  150. Sun Mar 29 20:54:45 2015 7 relations: 1149883
  151. Sun Mar 29 20:54:45 2015 8 relations: 937702
  152. Sun Mar 29 20:54:45 2015 9 relations: 731556
  153. Sun Mar 29 20:54:45 2015 10+ relations: 1747166
  154. Sun Mar 29 20:54:45 2015 heaviest cycle: 20 relations
  155. Sun Mar 29 20:54:48 2015 commencing cycle optimization
  156. Sun Mar 29 20:55:03 2015 start with 76221403 relations
  157. Sun Mar 29 20:56:12 2015 pruned 1843369 relations
  158. Sun Mar 29 20:56:12 2015 memory use: 2507.0 MB
  159. Sun Mar 29 20:56:12 2015 distribution of cycle lengths:
  160. Sun Mar 29 20:56:12 2015 1 relations: 1713065
  161. Sun Mar 29 20:56:12 2015 2 relations: 1859766
  162. Sun Mar 29 20:56:12 2015 3 relations: 1900567
  163. Sun Mar 29 20:56:12 2015 4 relations: 1738944
  164. Sun Mar 29 20:56:12 2015 5 relations: 1584005
  165. Sun Mar 29 20:56:12 2015 6 relations: 1370339
  166. Sun Mar 29 20:56:12 2015 7 relations: 1161552
  167. Sun Mar 29 20:56:12 2015 8 relations: 930875
  168. Sun Mar 29 20:56:12 2015 9 relations: 714654
  169. Sun Mar 29 20:56:12 2015 10+ relations: 1557955
  170. Sun Mar 29 20:56:12 2015 heaviest cycle: 20 relations
  171. Sun Mar 29 20:56:28 2015 RelProcTime: 3111
  172. Sun Mar 29 20:56:28 2015
  173. Sun Mar 29 20:56:28 2015 commencing linear algebra
  174. Sun Mar 29 20:56:34 2015 read 14531722 cycles
  175. Sun Mar 29 20:56:48 2015 cycles contain 41167080 unique relations
  176. Sun Mar 29 20:59:32 2015 read 41167080 relations
  177. Sun Mar 29 21:00:09 2015 using 20 quadratic characters above 2147482950
  178. Sun Mar 29 21:02:14 2015 building initial matrix
  179. Sun Mar 29 21:06:31 2015 memory use: 5407.6 MB
  180. Sun Mar 29 21:06:35 2015 read 14531722 cycles
  181. Sun Mar 29 21:06:36 2015 matrix is 14531544 x 14531722 (4315.4 MB) with weight 1280440641 (88.11/col)
  182. Sun Mar 29 21:06:36 2015 sparse part has weight 985929130 (67.85/col)
  183. Sun Mar 29 21:08:14 2015 filtering completed in 2 passes
  184. Sun Mar 29 21:08:15 2015 matrix is 14528846 x 14529024 (4315.2 MB) with weight 1280372527 (88.13/col)
  185. Sun Mar 29 21:08:15 2015 sparse part has weight 985914241 (67.86/col)
  186. Sun Mar 29 21:08:48 2015 matrix starts at (0, 0)
  187. Sun Mar 29 21:08:49 2015 matrix is 14528846 x 14529024 (4315.2 MB) with weight 1280372527 (88.13/col)
  188. Sun Mar 29 21:08:49 2015 sparse part has weight 985914241 (67.86/col)
  189. Sun Mar 29 21:08:49 2015 saving the first 48 matrix rows for later
  190. Sun Mar 29 21:08:50 2015 matrix includes 64 packed rows
  191. Sun Mar 29 21:08:51 2015 matrix is 14528798 x 14529024 (4169.4 MB) with weight 1016575167 (69.97/col)
  192. Sun Mar 29 21:08:51 2015 sparse part has weight 947700545 (65.23/col)
  193. Sun Mar 29 21:08:52 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  194. Sun Mar 29 21:09:24 2015 commencing Lanczos iteration (4 threads)
  195. Sun Mar 29 21:09:24 2015 memory use: 3496.1 MB
  196. Sun Mar 29 21:10:17 2015 linear algebra at 0.0%, ETA 135h40m
  197. Sun Mar 29 21:10:34 2015 checkpointing every 110000 dimensions
  198. Fri Apr 3 15:31:55 2015 lanczos halted after 229766 iterations (dim = 14528797)
  199. Fri Apr 3 15:32:06 2015 recovered 34 nontrivial dependencies
  200. Fri Apr 3 15:32:06 2015 BLanczosTime: 412538
  201. Fri Apr 3 15:32:06 2015
  202. Fri Apr 3 15:32:06 2015 commencing square root phase
  203. Fri Apr 3 15:32:06 2015 reading relations for dependency 1
  204. Fri Apr 3 15:32:07 2015 read 7266393 cycles
  205. Fri Apr 3 15:32:14 2015 cycles contain 20588120 unique relations
  206. Fri Apr 3 15:33:40 2015 read 20588120 relations
  207. Fri Apr 3 15:34:37 2015 multiplying 20588120 relations
  208. Fri Apr 3 15:51:56 2015 multiply complete, coefficients have about 773.18 million bits
  209. Fri Apr 3 15:51:58 2015 initial square root is modulo 8640859
  210. Fri Apr 3 16:11:10 2015 GCD is N, no factor found
  211. Fri Apr 3 16:11:10 2015 reading relations for dependency 2
  212. Fri Apr 3 16:11:11 2015 read 7265551 cycles
  213. Fri Apr 3 16:11:17 2015 cycles contain 20583950 unique relations
  214. Fri Apr 3 16:12:43 2015 read 20583950 relations
  215. Fri Apr 3 16:13:40 2015 multiplying 20583950 relations
  216. Fri Apr 3 16:31:00 2015 multiply complete, coefficients have about 773.02 million bits
  217. Fri Apr 3 16:31:02 2015 initial square root is modulo 8613733
  218. Fri Apr 3 16:50:04 2015 GCD is N, no factor found
  219. Fri Apr 3 16:50:04 2015 reading relations for dependency 3
  220. Fri Apr 3 16:50:05 2015 read 7262846 cycles
  221. Fri Apr 3 16:50:12 2015 cycles contain 20575046 unique relations
  222. Fri Apr 3 16:51:37 2015 read 20575046 relations
  223. Fri Apr 3 16:52:34 2015 multiplying 20575046 relations
  224. Fri Apr 3 17:09:55 2015 multiply complete, coefficients have about 772.69 million bits
  225. Fri Apr 3 17:09:56 2015 initial square root is modulo 8553967
  226. Fri Apr 3 17:28:59 2015 sqrtTime: 7013
  227. Fri Apr 3 17:28:59 2015 prp67 factor: 1745527632262016353194019684578402590775589180204584997599301577803
  228. Fri Apr 3 17:28:59 2015 prp138 factor: 293157282972959613958560737982488626258500094926196403541810679813690190472159111662073703194309286876525283031618892229007273851420660059
  229. Fri Apr 3 17:28:59 2015 elapsed time 117:24:23
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