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GW_3_502

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Dec 5th, 2015
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  1. Wed Sep 9 11:17:29 2015
  2. Wed Sep 9 11:17:29 2015
  3. Wed Sep 9 11:17:29 2015 Msieve v. 1.53 (SVN 984M)
  4. Wed Sep 9 11:17:29 2015 random seeds: 60c35e8d c4da39ee
  5. Wed Sep 9 11:17:29 2015 MPI process 0 of 1
  6. Wed Sep 9 11:17:29 2015 factoring 5664682701163461194961952988461266061214815639568114927458047927296522471226759993020995183866926845620219168829325400699703555123926380442553096651069904568073736637854332865781596515020839451126074596511872736230797996134601779155725585673 (241 digits)
  7. Wed Sep 9 11:17:29 2015 commencing number field sieve (241-digit input)
  8. Wed Sep 9 11:17:29 2015 R0: -3990838394187339929534246675572349035227
  9. Wed Sep 9 11:17:29 2015 R1: 1
  10. Wed Sep 9 11:17:29 2015 A0: -1
  11. Wed Sep 9 11:17:29 2015 A1: 0
  12. Wed Sep 9 11:17:29 2015 A2: 0
  13. Wed Sep 9 11:17:29 2015 A3: 0
  14. Wed Sep 9 11:17:29 2015 A4: 0
  15. Wed Sep 9 11:17:29 2015 A5: 0
  16. Wed Sep 9 11:17:29 2015 A6: 40662
  17. Wed Sep 9 11:17:29 2015 skew 1.00, size 3.088e-12, alpha 0.567, combined = 2.471e-13 rroots = 2
  18. Wed Sep 9 11:17:29 2015
  19. Wed Sep 9 11:17:29 2015 commencing relation filtering
  20. Wed Sep 9 11:17:29 2015 setting target matrix density to 120.0
  21. Wed Sep 9 11:17:29 2015 estimated available RAM is 32207.5 MB
  22. Wed Sep 9 11:17:29 2015 commencing duplicate removal, pass 1
  23. Wed Sep 9 12:01:17 2015 skipped 1043 relations with b > 2^32
  24. Wed Sep 9 12:01:17 2015 found 7090929 hash collisions in 179390735 relations
  25. Wed Sep 9 12:01:42 2015 added 1217241 free relations
  26. Wed Sep 9 12:01:42 2015 commencing duplicate removal, pass 2
  27. Wed Sep 9 12:13:22 2015 found 1 duplicates and 180607975 unique relations
  28. Wed Sep 9 12:13:22 2015 memory use: 522.4 MB
  29. Wed Sep 9 12:13:22 2015 reading ideals above 134152192
  30. Wed Sep 9 12:13:22 2015 commencing singleton removal, initial pass
  31. Wed Sep 9 12:47:48 2015 memory use: 3012.0 MB
  32. Wed Sep 9 12:47:49 2015 reading all ideals from disk
  33. Wed Sep 9 12:47:56 2015 memory use: 3251.6 MB
  34. Wed Sep 9 12:48:05 2015 commencing in-memory singleton removal
  35. Wed Sep 9 12:48:15 2015 begin with 180607975 relations and 157034240 unique ideals
  36. Wed Sep 9 12:49:50 2015 reduce to 108307981 relations and 76468571 ideals in 15 passes
  37. Wed Sep 9 12:49:50 2015 max relations containing the same ideal: 39
  38. Wed Sep 9 12:49:58 2015 reading ideals above 720000
  39. Wed Sep 9 12:49:59 2015 commencing singleton removal, initial pass
  40. Wed Sep 9 13:17:55 2015 memory use: 2756.0 MB
  41. Wed Sep 9 13:17:55 2015 reading all ideals from disk
  42. Wed Sep 9 13:18:03 2015 memory use: 4253.1 MB
  43. Wed Sep 9 13:18:23 2015 keeping 91113343 ideals with weight <= 200, target excess is 553199
  44. Wed Sep 9 13:18:44 2015 commencing in-memory singleton removal
  45. Wed Sep 9 13:19:01 2015 begin with 108307981 relations and 91113343 unique ideals
  46. Wed Sep 9 13:20:41 2015 reduce to 108307459 relations and 91112821 ideals in 7 passes
  47. Wed Sep 9 13:20:41 2015 max relations containing the same ideal: 200
  48. Wed Sep 9 13:21:48 2015 removing 11548790 relations and 9548790 ideals in 2000000 cliques
  49. Wed Sep 9 13:21:53 2015 commencing in-memory singleton removal
  50. Wed Sep 9 13:22:06 2015 begin with 96758669 relations and 91112821 unique ideals
  51. Wed Sep 9 13:23:51 2015 reduce to 95863636 relations and 80648488 ideals in 8 passes
  52. Wed Sep 9 13:23:51 2015 max relations containing the same ideal: 193
  53. Wed Sep 9 13:24:50 2015 removing 8747187 relations and 6747187 ideals in 2000000 cliques
  54. Wed Sep 9 13:24:54 2015 commencing in-memory singleton removal
  55. Wed Sep 9 13:25:05 2015 begin with 87116449 relations and 80648488 unique ideals
  56. Wed Sep 9 13:26:29 2015 reduce to 86518799 relations and 73291418 ideals in 8 passes
  57. Wed Sep 9 13:26:29 2015 max relations containing the same ideal: 183
  58. Wed Sep 9 13:27:23 2015 removing 7899088 relations and 5899088 ideals in 2000000 cliques
  59. Wed Sep 9 13:27:26 2015 commencing in-memory singleton removal
  60. Wed Sep 9 13:27:36 2015 begin with 78619711 relations and 73291418 unique ideals
  61. Wed Sep 9 13:28:50 2015 reduce to 78086394 relations and 66847598 ideals in 8 passes
  62. Wed Sep 9 13:28:50 2015 max relations containing the same ideal: 169
  63. Wed Sep 9 13:29:39 2015 removing 7462744 relations and 5462744 ideals in 2000000 cliques
  64. Wed Sep 9 13:29:42 2015 commencing in-memory singleton removal
  65. Wed Sep 9 13:29:51 2015 begin with 70623650 relations and 66847598 unique ideals
  66. Wed Sep 9 13:30:56 2015 reduce to 70110870 relations and 60860485 ideals in 8 passes
  67. Wed Sep 9 13:30:56 2015 max relations containing the same ideal: 159
  68. Wed Sep 9 13:31:39 2015 removing 7188176 relations and 5188176 ideals in 2000000 cliques
  69. Wed Sep 9 13:31:42 2015 commencing in-memory singleton removal
  70. Wed Sep 9 13:31:50 2015 begin with 62922694 relations and 60860485 unique ideals
  71. Wed Sep 9 13:32:39 2015 reduce to 62409387 relations and 55146212 ideals in 7 passes
  72. Wed Sep 9 13:32:39 2015 max relations containing the same ideal: 148
  73. Wed Sep 9 13:33:17 2015 removing 7002772 relations and 5002772 ideals in 2000000 cliques
  74. Wed Sep 9 13:33:20 2015 commencing in-memory singleton removal
  75. Wed Sep 9 13:33:26 2015 begin with 55406615 relations and 55146212 unique ideals
  76. Wed Sep 9 13:34:12 2015 reduce to 54873356 relations and 49595454 ideals in 8 passes
  77. Wed Sep 9 13:34:12 2015 max relations containing the same ideal: 135
  78. Wed Sep 9 13:34:44 2015 removing 6870563 relations and 4870564 ideals in 2000000 cliques
  79. Wed Sep 9 13:34:47 2015 commencing in-memory singleton removal
  80. Wed Sep 9 13:34:52 2015 begin with 48002793 relations and 49595454 unique ideals
  81. Wed Sep 9 13:35:31 2015 reduce to 47425699 relations and 44129655 ideals in 8 passes
  82. Wed Sep 9 13:35:31 2015 max relations containing the same ideal: 122
  83. Wed Sep 9 13:35:58 2015 removing 6779115 relations and 4779115 ideals in 2000000 cliques
  84. Wed Sep 9 13:36:00 2015 commencing in-memory singleton removal
  85. Wed Sep 9 13:36:04 2015 begin with 40646584 relations and 44129655 unique ideals
  86. Wed Sep 9 13:36:33 2015 reduce to 39991151 relations and 38671531 ideals in 8 passes
  87. Wed Sep 9 13:36:33 2015 max relations containing the same ideal: 108
  88. Wed Sep 9 13:36:53 2015 removing 2845828 relations and 2167919 ideals in 677909 cliques
  89. Wed Sep 9 13:36:55 2015 commencing in-memory singleton removal
  90. Wed Sep 9 13:36:58 2015 begin with 37145323 relations and 38671531 unique ideals
  91. Wed Sep 9 13:37:19 2015 reduce to 37010643 relations and 36366883 ideals in 7 passes
  92. Wed Sep 9 13:37:19 2015 max relations containing the same ideal: 103
  93. Wed Sep 9 13:37:47 2015 relations with 0 large ideals: 20963
  94. Wed Sep 9 13:37:47 2015 relations with 1 large ideals: 6529
  95. Wed Sep 9 13:37:47 2015 relations with 2 large ideals: 84670
  96. Wed Sep 9 13:37:47 2015 relations with 3 large ideals: 629752
  97. Wed Sep 9 13:37:47 2015 relations with 4 large ideals: 2559879
  98. Wed Sep 9 13:37:47 2015 relations with 5 large ideals: 6219256
  99. Wed Sep 9 13:37:47 2015 relations with 6 large ideals: 9479812
  100. Wed Sep 9 13:37:47 2015 relations with 7+ large ideals: 18009782
  101. Wed Sep 9 13:37:47 2015 commencing 2-way merge
  102. Wed Sep 9 13:38:12 2015 reduce to 24507229 relation sets and 23863469 unique ideals
  103. Wed Sep 9 13:38:12 2015 commencing full merge
  104. Wed Sep 9 13:47:55 2015 memory use: 3170.4 MB
  105. Wed Sep 9 13:47:58 2015 found 11015082 cycles, need 11001669
  106. Wed Sep 9 13:48:03 2015 weight of 11001669 cycles is about 1320466845 (120.02/cycle)
  107. Wed Sep 9 13:48:03 2015 distribution of cycle lengths:
  108. Wed Sep 9 13:48:03 2015 1 relations: 433159
  109. Wed Sep 9 13:48:03 2015 2 relations: 646020
  110. Wed Sep 9 13:48:03 2015 3 relations: 764457
  111. Wed Sep 9 13:48:03 2015 4 relations: 795036
  112. Wed Sep 9 13:48:03 2015 5 relations: 817244
  113. Wed Sep 9 13:48:03 2015 6 relations: 809496
  114. Wed Sep 9 13:48:03 2015 7 relations: 792501
  115. Wed Sep 9 13:48:03 2015 8 relations: 755483
  116. Wed Sep 9 13:48:03 2015 9 relations: 714187
  117. Wed Sep 9 13:48:03 2015 10+ relations: 4474086
  118. Wed Sep 9 13:48:03 2015 heaviest cycle: 28 relations
  119. Wed Sep 9 13:48:06 2015 commencing cycle optimization
  120. Wed Sep 9 13:48:29 2015 start with 98890918 relations
  121. Wed Sep 9 13:52:49 2015 pruned 4638225 relations
  122. Wed Sep 9 13:52:49 2015 memory use: 2561.4 MB
  123. Wed Sep 9 13:52:50 2015 distribution of cycle lengths:
  124. Wed Sep 9 13:52:50 2015 1 relations: 433159
  125. Wed Sep 9 13:52:50 2015 2 relations: 662609
  126. Wed Sep 9 13:52:50 2015 3 relations: 797804
  127. Wed Sep 9 13:52:50 2015 4 relations: 829097
  128. Wed Sep 9 13:52:50 2015 5 relations: 860045
  129. Wed Sep 9 13:52:50 2015 6 relations: 848268
  130. Wed Sep 9 13:52:50 2015 7 relations: 834543
  131. Wed Sep 9 13:52:50 2015 8 relations: 791836
  132. Wed Sep 9 13:52:50 2015 9 relations: 747446
  133. Wed Sep 9 13:52:50 2015 10+ relations: 4196862
  134. Wed Sep 9 13:52:50 2015 heaviest cycle: 28 relations
  135. Wed Sep 9 13:53:09 2015 RelProcTime: 9340
  136. Wed Sep 9 13:53:09 2015 elapsed time 02:35:40
  137. Wed Sep 9 13:58:42 2015
  138. Wed Sep 9 13:58:42 2015
  139. Wed Sep 9 13:58:42 2015 Msieve v. 1.53 (SVN 984M)
  140. Wed Sep 9 13:58:42 2015 random seeds: aa132637 b18226c9
  141. Wed Sep 9 13:58:42 2015 MPI process 0 of 8
  142. Wed Sep 9 13:58:42 2015 factoring 5664682701163461194961952988461266061214815639568114927458047927296522471226759993020995183866926845620219168829325400699703555123926380442553096651069904568073736637854332865781596515020839451126074596511872736230797996134601779155725585673 (241 digits)
  143. Wed Sep 9 13:58:42 2015 commencing number field sieve (241-digit input)
  144. Wed Sep 9 13:58:42 2015 R0: -3990838394187339929534246675572349035227
  145. Wed Sep 9 13:58:42 2015 R1: 1
  146. Wed Sep 9 13:58:42 2015 A0: -1
  147. Wed Sep 9 13:58:42 2015 A1: 0
  148. Wed Sep 9 13:58:42 2015 A2: 0
  149. Wed Sep 9 13:58:42 2015 A3: 0
  150. Wed Sep 9 13:58:42 2015 A4: 0
  151. Wed Sep 9 13:58:42 2015 A5: 0
  152. Wed Sep 9 13:58:42 2015 A6: 40662
  153. Wed Sep 9 13:58:42 2015 skew 1.00, size 3.088e-12, alpha 0.567, combined = 2.471e-13 rroots = 2
  154. Wed Sep 9 13:58:42 2015
  155. Wed Sep 9 13:58:42 2015 commencing linear algebra
  156. Wed Sep 9 13:58:42 2015 initialized process (0,0) of 2 x 4 grid
  157. Wed Sep 9 13:59:18 2015 read 11001669 cycles
  158. Wed Sep 9 13:59:39 2015 cycles contain 36660136 unique relations
  159. Wed Sep 9 14:27:37 2015 read 36660136 relations
  160. Wed Sep 9 14:28:26 2015 using 20 quadratic characters above 4294917295
  161. Wed Sep 9 14:31:16 2015 building initial matrix
  162. Wed Sep 9 14:45:08 2015 memory use: 4825.3 MB
  163. Wed Sep 9 14:53:17 2015 read 11001669 cycles
  164. Wed Sep 9 14:53:19 2015 matrix is 11001492 x 11001669 (5155.2 MB) with weight 1492576725 (135.67/col)
  165. Wed Sep 9 14:53:19 2015 sparse part has weight 1230394631 (111.84/col)
  166. Wed Sep 9 14:55:15 2015 filtering completed in 2 passes
  167. Wed Sep 9 14:55:17 2015 matrix is 11001420 x 11001597 (5155.2 MB) with weight 1492574131 (135.67/col)
  168. Wed Sep 9 14:55:17 2015 sparse part has weight 1230393740 (111.84/col)
  169. Wed Sep 9 15:05:15 2015 matrix starts at (0, 0)
  170. Wed Sep 9 15:05:16 2015 matrix is 5500766 x 2540570 (710.5 MB) with weight 217984783 (85.80/col)
  171. Wed Sep 9 15:05:16 2015 sparse part has weight 158294629 (62.31/col)
  172. Wed Sep 9 15:05:16 2015 saving the first 48 matrix rows for later
  173. Wed Sep 9 15:05:17 2015 matrix includes 64 packed rows
  174. Wed Sep 9 15:05:17 2015 matrix is 5500718 x 2540570 (666.9 MB) with weight 171208844 (67.39/col)
  175. Wed Sep 9 15:05:17 2015 sparse part has weight 149406365 (58.81/col)
  176. Wed Sep 9 15:05:17 2015 using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
  177. Wed Sep 9 15:05:23 2015 commencing Lanczos iteration (20 threads)
  178. Wed Sep 9 15:05:23 2015 memory use: 603.2 MB
  179. Wed Sep 9 15:05:29 2015 linear algebra at 0.0%, ETA 10h 3m
  180. Wed Sep 9 15:05:30 2015 checkpointing every 1220000 dimensions
  181. Thu Sep 10 00:29:07 2015 lanczos halted after 173974 iterations (dim = 11001372)
  182. Thu Sep 10 00:29:17 2015 recovered 38 nontrivial dependencies
  183. Thu Sep 10 00:29:25 2015 BLanczosTime: 37843
  184. Thu Sep 10 00:29:25 2015 elapsed time 10:30:43
  185. Thu Sep 10 01:07:52 2015
  186. Thu Sep 10 01:07:52 2015
  187. Thu Sep 10 01:07:52 2015 Msieve v. 1.53 (SVN 984M)
  188. Thu Sep 10 01:07:52 2015 random seeds: 875bac4f c8bdec01
  189. Thu Sep 10 01:07:52 2015 MPI process 0 of 1
  190. Thu Sep 10 01:07:52 2015 factoring 5664682701163461194961952988461266061214815639568114927458047927296522471226759993020995183866926845620219168829325400699703555123926380442553096651069904568073736637854332865781596515020839451126074596511872736230797996134601779155725585673 (241 digits)
  191. Thu Sep 10 01:07:52 2015 commencing number field sieve (241-digit input)
  192. Thu Sep 10 01:07:52 2015 R0: -3990838394187339929534246675572349035227
  193. Thu Sep 10 01:07:52 2015 R1: 1
  194. Thu Sep 10 01:07:52 2015 A0: -1
  195. Thu Sep 10 01:07:52 2015 A1: 0
  196. Thu Sep 10 01:07:52 2015 A2: 0
  197. Thu Sep 10 01:07:52 2015 A3: 0
  198. Thu Sep 10 01:07:52 2015 A4: 0
  199. Thu Sep 10 01:07:52 2015 A5: 0
  200. Thu Sep 10 01:07:52 2015 A6: 40662
  201. Thu Sep 10 01:07:52 2015 skew 1.00, size 3.088e-12, alpha 0.567, combined = 2.471e-13 rroots = 2
  202. Thu Sep 10 01:07:52 2015
  203. Thu Sep 10 01:07:52 2015 commencing square root phase
  204. Thu Sep 10 01:07:52 2015 reading relations for dependency 1
  205. Thu Sep 10 01:07:55 2015 read 5500406 cycles
  206. Thu Sep 10 01:08:12 2015 cycles contain 18327502 unique relations
  207. Thu Sep 10 01:24:00 2015 read 18327502 relations
  208. Thu Sep 10 01:25:50 2015 multiplying 18327502 relations
  209. Thu Sep 10 01:56:25 2015 multiply complete, coefficients have about 715.18 million bits
  210. Thu Sep 10 01:56:28 2015 initial square root is modulo 2607673
  211. Thu Sep 10 02:25:20 2015 GCD is N, no factor found
  212. Thu Sep 10 02:25:20 2015 reading relations for dependency 2
  213. Thu Sep 10 02:25:23 2015 read 5498461 cycles
  214. Thu Sep 10 02:25:40 2015 cycles contain 18326110 unique relations
  215. Thu Sep 10 02:39:31 2015 read 18326110 relations
  216. Thu Sep 10 02:41:17 2015 multiplying 18326110 relations
  217. Thu Sep 10 03:06:50 2015 multiply complete, coefficients have about 715.12 million bits
  218. Thu Sep 10 03:06:52 2015 initial square root is modulo 2604583
  219. Thu Sep 10 03:35:08 2015 sqrtTime: 8836
  220. Thu Sep 10 03:35:08 2015 p96 factor: 122838606011459566941521222717596412576527332246352792452595461733479143231281284137259355896787
  221. Thu Sep 10 03:35:08 2015 elapsed time 02:27:16
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