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Jun 20th, 2014
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  1. Tue Jun 17 14:10:02 2014
  2. Tue Jun 17 14:10:02 2014
  3. Tue Jun 17 14:10:02 2014 Msieve v. 1.52 (SVN 959)
  4. Tue Jun 17 14:10:02 2014 random seeds: 14ddd980 95e72db5
  5. Tue Jun 17 14:10:02 2014 factoring 51766063780569325935761530790184040122168072718626194143614634428392840495399882773888578393139358467955236364632401352309354247152115548653744226902440878701732887 (164 digits)
  6. Tue Jun 17 14:10:03 2014 no P-1/P+1/ECM available, skipping
  7. Tue Jun 17 14:10:03 2014 commencing number field sieve (164-digit input)
  8. Tue Jun 17 14:10:03 2014 R0: -85070591730234615865843651857942052864
  9. Tue Jun 17 14:10:03 2014 R1: 1
  10. Tue Jun 17 14:10:03 2014 A0: -1
  11. Tue Jun 17 14:10:03 2014 A1: 0
  12. Tue Jun 17 14:10:03 2014 A2: 0
  13. Tue Jun 17 14:10:03 2014 A3: 0
  14. Tue Jun 17 14:10:03 2014 A4: 0
  15. Tue Jun 17 14:10:03 2014 A5: 0
  16. Tue Jun 17 14:10:03 2014 A6: 6072
  17. Tue Jun 17 14:10:03 2014 skew 1.00, size 1.379e-11, alpha 0.287, combined = 7.574e-13 rroots = 2
  18. Tue Jun 17 14:10:03 2014
  19. Tue Jun 17 14:10:03 2014 commencing relation filtering
  20. Tue Jun 17 14:10:03 2014 setting target matrix density to 112.0
  21. Tue Jun 17 14:10:03 2014 estimated available RAM is 16009.0 MB
  22. Tue Jun 17 14:10:03 2014 commencing duplicate removal, pass 1
  23. (496 bad relations)
  24. Tue Jun 17 14:33:41 2014 skipped 153 relations with b > 2^32
  25. Tue Jun 17 14:33:41 2014 found 24487339 hash collisions in 123898965 relations
  26. Tue Jun 17 14:33:58 2014 added 1218795 free relations
  27. Tue Jun 17 14:33:58 2014 commencing duplicate removal, pass 2
  28. Tue Jun 17 14:48:07 2014 found 23970668 duplicates and 101147092 unique relations
  29. Tue Jun 17 14:48:07 2014 memory use: 660.8 MB
  30. Tue Jun 17 14:48:07 2014 reading ideals above 110952448
  31. Tue Jun 17 14:48:07 2014 commencing singleton removal, initial pass
  32. Tue Jun 17 15:10:27 2014 memory use: 1506.0 MB
  33. Tue Jun 17 15:10:27 2014 reading all ideals from disk
  34. Tue Jun 17 15:11:07 2014 memory use: 1635.0 MB
  35. Tue Jun 17 15:11:11 2014 commencing in-memory singleton removal
  36. Tue Jun 17 15:11:15 2014 begin with 101147092 relations and 79694275 unique ideals
  37. Tue Jun 17 15:11:54 2014 reduce to 67735853 relations and 43053469 ideals in 14 passes
  38. Tue Jun 17 15:11:54 2014 max relations containing the same ideal: 34
  39. Tue Jun 17 15:11:57 2014 reading ideals above 720000
  40. Tue Jun 17 15:11:58 2014 commencing singleton removal, initial pass
  41. Tue Jun 17 15:34:54 2014 memory use: 1506.0 MB
  42. Tue Jun 17 15:34:54 2014 reading all ideals from disk
  43. Tue Jun 17 15:35:32 2014 memory use: 2586.5 MB
  44. Tue Jun 17 15:35:40 2014 keeping 55411643 ideals with weight <= 200, target excess is 349959
  45. Tue Jun 17 15:35:48 2014 commencing in-memory singleton removal
  46. Tue Jun 17 15:35:54 2014 begin with 67735855 relations and 55411643 unique ideals
  47. Tue Jun 17 15:36:50 2014 reduce to 67721085 relations and 55396866 ideals in 8 passes
  48. Tue Jun 17 15:36:50 2014 max relations containing the same ideal: 200
  49. Tue Jun 17 15:37:24 2014 removing 8754871 relations and 6754871 ideals in 2000000 cliques
  50. Tue Jun 17 15:37:27 2014 commencing in-memory singleton removal
  51. Tue Jun 17 15:37:33 2014 begin with 58966214 relations and 55396866 unique ideals
  52. Tue Jun 17 15:38:20 2014 reduce to 58075764 relations and 47719649 ideals in 8 passes
  53. Tue Jun 17 15:38:20 2014 max relations containing the same ideal: 192
  54. Tue Jun 17 15:38:50 2014 removing 6988343 relations and 4988343 ideals in 2000000 cliques
  55. Tue Jun 17 15:38:53 2014 commencing in-memory singleton removal
  56. Tue Jun 17 15:38:58 2014 begin with 51087421 relations and 47719649 unique ideals
  57. Tue Jun 17 15:39:38 2014 reduce to 50450348 relations and 42072934 ideals in 8 passes
  58. Tue Jun 17 15:39:38 2014 max relations containing the same ideal: 176
  59. Tue Jun 17 15:40:04 2014 removing 6477856 relations and 4477856 ideals in 2000000 cliques
  60. Tue Jun 17 15:40:07 2014 commencing in-memory singleton removal
  61. Tue Jun 17 15:40:11 2014 begin with 43972492 relations and 42072934 unique ideals
  62. Tue Jun 17 15:40:41 2014 reduce to 43380912 relations and 36982253 ideals in 7 passes
  63. Tue Jun 17 15:40:41 2014 max relations containing the same ideal: 157
  64. Tue Jun 17 15:41:04 2014 removing 6218685 relations and 4218685 ideals in 2000000 cliques
  65. Tue Jun 17 15:41:06 2014 commencing in-memory singleton removal
  66. Tue Jun 17 15:41:10 2014 begin with 37162227 relations and 36982253 unique ideals
  67. Tue Jun 17 15:41:35 2014 reduce to 36568457 relations and 32145444 ideals in 7 passes
  68. Tue Jun 17 15:41:35 2014 max relations containing the same ideal: 142
  69. Tue Jun 17 15:41:55 2014 removing 6048633 relations and 4048633 ideals in 2000000 cliques
  70. Tue Jun 17 15:41:57 2014 commencing in-memory singleton removal
  71. Tue Jun 17 15:42:00 2014 begin with 30519824 relations and 32145444 unique ideals
  72. Tue Jun 17 15:42:23 2014 reduce to 29883889 relations and 27430302 ideals in 8 passes
  73. Tue Jun 17 15:42:23 2014 max relations containing the same ideal: 123
  74. Tue Jun 17 15:42:39 2014 removing 5925381 relations and 3925381 ideals in 2000000 cliques
  75. Tue Jun 17 15:42:41 2014 commencing in-memory singleton removal
  76. Tue Jun 17 15:42:43 2014 begin with 23958508 relations and 27430302 unique ideals
  77. Tue Jun 17 15:43:06 2014 reduce to 23211836 relations and 22714989 ideals in 10 passes
  78. Tue Jun 17 15:43:06 2014 max relations containing the same ideal: 103
  79. Tue Jun 17 15:43:18 2014 removing 482707 relations and 391813 ideals in 90894 cliques
  80. Tue Jun 17 15:43:19 2014 commencing in-memory singleton removal
  81. Tue Jun 17 15:43:21 2014 begin with 22729129 relations and 22714989 unique ideals
  82. Tue Jun 17 15:43:31 2014 reduce to 22721801 relations and 22315816 ideals in 5 passes
  83. Tue Jun 17 15:43:31 2014 max relations containing the same ideal: 102
  84. Tue Jun 17 15:43:36 2014 relations with 0 large ideals: 12959
  85. Tue Jun 17 15:43:36 2014 relations with 1 large ideals: 3664
  86. Tue Jun 17 15:43:36 2014 relations with 2 large ideals: 39956
  87. Tue Jun 17 15:43:36 2014 relations with 3 large ideals: 313396
  88. Tue Jun 17 15:43:36 2014 relations with 4 large ideals: 1350552
  89. Tue Jun 17 15:43:36 2014 relations with 5 large ideals: 3491383
  90. Tue Jun 17 15:43:36 2014 relations with 6 large ideals: 5648335
  91. Tue Jun 17 15:43:36 2014 relations with 7+ large ideals: 11861556
  92. Tue Jun 17 15:43:36 2014 commencing 2-way merge
  93. Tue Jun 17 15:43:52 2014 reduce to 15560550 relation sets and 15154565 unique ideals
  94. Tue Jun 17 15:43:52 2014 commencing full merge
  95. Tue Jun 17 15:50:43 2014 memory use: 2030.5 MB
  96. Tue Jun 17 15:50:45 2014 found 7141746 cycles, need 7120765
  97. Tue Jun 17 15:50:47 2014 weight of 7120765 cycles is about 798103794 (112.08/cycle)
  98. Tue Jun 17 15:50:47 2014 distribution of cycle lengths:
  99. Tue Jun 17 15:50:47 2014 1 relations: 258931
  100. Tue Jun 17 15:50:47 2014 2 relations: 435465
  101. Tue Jun 17 15:50:47 2014 3 relations: 539085
  102. Tue Jun 17 15:50:47 2014 4 relations: 566024
  103. Tue Jun 17 15:50:47 2014 5 relations: 585070
  104. Tue Jun 17 15:50:47 2014 6 relations: 574129
  105. Tue Jun 17 15:50:47 2014 7 relations: 556193
  106. Tue Jun 17 15:50:47 2014 8 relations: 520744
  107. Tue Jun 17 15:50:47 2014 9 relations: 478351
  108. Tue Jun 17 15:50:47 2014 10+ relations: 2606773
  109. Tue Jun 17 15:50:47 2014 heaviest cycle: 28 relations
  110. Tue Jun 17 15:50:49 2014 commencing cycle optimization
  111. Tue Jun 17 15:51:03 2014 start with 60516779 relations
  112. Tue Jun 17 15:53:31 2014 pruned 2904249 relations
  113. Tue Jun 17 15:53:31 2014 memory use: 1576.4 MB
  114. Tue Jun 17 15:53:31 2014 distribution of cycle lengths:
  115. Tue Jun 17 15:53:31 2014 1 relations: 258931
  116. Tue Jun 17 15:53:31 2014 2 relations: 447226
  117. Tue Jun 17 15:53:31 2014 3 relations: 563582
  118. Tue Jun 17 15:53:31 2014 4 relations: 592057
  119. Tue Jun 17 15:53:31 2014 5 relations: 617733
  120. Tue Jun 17 15:53:31 2014 6 relations: 604338
  121. Tue Jun 17 15:53:31 2014 7 relations: 586661
  122. Tue Jun 17 15:53:31 2014 8 relations: 545197
  123. Tue Jun 17 15:53:31 2014 9 relations: 497953
  124. Tue Jun 17 15:53:31 2014 10+ relations: 2407087
  125. Tue Jun 17 15:53:31 2014 heaviest cycle: 28 relations
  126. Tue Jun 17 15:53:45 2014 RelProcTime: 6222
  127. Tue Jun 17 15:53:45 2014 elapsed time 01:43:43
  128. Tue Jun 17 15:54:19 2014
  129. Tue Jun 17 15:54:19 2014
  130. Tue Jun 17 15:54:19 2014 Msieve v. 1.52 (SVN 959)
  131. Tue Jun 17 15:54:19 2014 random seeds: 32aae5a8 8f901d0f
  132. Tue Jun 17 15:54:19 2014 factoring 51766063780569325935761530790184040122168072718626194143614634428392840495399882773888578393139358467955236364632401352309354247152115548653744226902440878701732887 (164 digits)
  133. Tue Jun 17 15:54:20 2014 no P-1/P+1/ECM available, skipping
  134. Tue Jun 17 15:54:20 2014 commencing number field sieve (164-digit input)
  135. Tue Jun 17 15:54:20 2014 R0: -85070591730234615865843651857942052864
  136. Tue Jun 17 15:54:20 2014 R1: 1
  137. Tue Jun 17 15:54:20 2014 A0: -1
  138. Tue Jun 17 15:54:20 2014 A1: 0
  139. Tue Jun 17 15:54:20 2014 A2: 0
  140. Tue Jun 17 15:54:20 2014 A3: 0
  141. Tue Jun 17 15:54:20 2014 A4: 0
  142. Tue Jun 17 15:54:20 2014 A5: 0
  143. Tue Jun 17 15:54:20 2014 A6: 6072
  144. Tue Jun 17 15:54:20 2014 skew 1.00, size 1.379e-11, alpha 0.287, combined = 7.574e-13 rroots = 2
  145. Tue Jun 17 15:54:20 2014
  146. Tue Jun 17 15:54:20 2014 commencing linear algebra
  147. Tue Jun 17 15:54:20 2014 read 7120765 cycles
  148. Tue Jun 17 15:54:35 2014 cycles contain 22524311 unique relations
  149. Tue Jun 17 16:04:04 2014 read 22524311 relations
  150. Tue Jun 17 16:04:46 2014 using 20 quadratic characters above 1073741372
  151. Tue Jun 17 16:06:13 2014 building initial matrix
  152. Tue Jun 17 16:10:49 2014 memory use: 2990.2 MB
  153. Tue Jun 17 16:11:12 2014 read 7120765 cycles
  154. Tue Jun 17 16:11:13 2014 matrix is 7120588 x 7120765 (3134.4 MB) with weight 916539544 (128.71/col)
  155. Tue Jun 17 16:11:13 2014 sparse part has weight 743323369 (104.39/col)
  156. Tue Jun 17 16:12:39 2014 filtering completed in 2 passes
  157. Tue Jun 17 16:12:40 2014 matrix is 7120492 x 7120669 (3134.3 MB) with weight 916535977 (128.71/col)
  158. Tue Jun 17 16:12:40 2014 sparse part has weight 743322259 (104.39/col)
  159. Tue Jun 17 16:13:36 2014 matrix starts at (0, 0)
  160. Tue Jun 17 16:13:37 2014 matrix is 7120492 x 7120669 (3134.3 MB) with weight 916535977 (128.71/col)
  161. Tue Jun 17 16:13:37 2014 sparse part has weight 743322259 (104.39/col)
  162. Tue Jun 17 16:13:37 2014 saving the first 48 matrix rows for later
  163. Tue Jun 17 16:13:38 2014 matrix includes 64 packed rows
  164. Tue Jun 17 16:13:39 2014 matrix is 7120444 x 7120669 (3003.3 MB) with weight 773570159 (108.64/col)
  165. Tue Jun 17 16:13:39 2014 sparse part has weight 716091063 (100.57/col)
  166. Tue Jun 17 16:13:39 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  167. Tue Jun 17 16:14:08 2014 commencing Lanczos iteration (3 threads)
  168. Tue Jun 17 16:14:08 2014 memory use: 2536.1 MB
  169. Tue Jun 17 16:15:06 2014 linear algebra at 0.0%, ETA 71h53m
  170. Tue Jun 17 16:15:23 2014 checkpointing every 110000 dimensions
  171. Thu Jun 19 17:29:34 2014 lanczos halted after 112604 iterations (dim = 7120440)
  172. Thu Jun 19 17:29:41 2014 recovered 37 nontrivial dependencies
  173. Thu Jun 19 17:29:41 2014 BLanczosTime: 178521
  174. Thu Jun 19 17:29:41 2014 elapsed time 49:35:22
  175. Thu Jun 19 17:29:42 2014
  176. Thu Jun 19 17:29:42 2014
  177. Thu Jun 19 17:29:42 2014 Msieve v. 1.52 (SVN 959)
  178. Thu Jun 19 17:29:42 2014 random seeds: 4337ae56 fdcf4ef2
  179. Thu Jun 19 17:29:42 2014 factoring 51766063780569325935761530790184040122168072718626194143614634428392840495399882773888578393139358467955236364632401352309354247152115548653744226902440878701732887 (164 digits)
  180. Thu Jun 19 17:29:43 2014 no P-1/P+1/ECM available, skipping
  181. Thu Jun 19 17:29:43 2014 commencing number field sieve (164-digit input)
  182. Thu Jun 19 17:29:43 2014 R0: -85070591730234615865843651857942052864
  183. Thu Jun 19 17:29:43 2014 R1: 1
  184. Thu Jun 19 17:29:43 2014 A0: -1
  185. Thu Jun 19 17:29:43 2014 A1: 0
  186. Thu Jun 19 17:29:43 2014 A2: 0
  187. Thu Jun 19 17:29:43 2014 A3: 0
  188. Thu Jun 19 17:29:43 2014 A4: 0
  189. Thu Jun 19 17:29:43 2014 A5: 0
  190. Thu Jun 19 17:29:43 2014 A6: 6072
  191. Thu Jun 19 17:29:43 2014 skew 1.00, size 1.379e-11, alpha 0.287, combined = 7.574e-13 rroots = 2
  192. Thu Jun 19 17:29:43 2014
  193. Thu Jun 19 17:29:43 2014 commencing square root phase
  194. Thu Jun 19 17:29:43 2014 reading relations for dependency 1
  195. Thu Jun 19 17:29:46 2014 read 3560292 cycles
  196. Thu Jun 19 17:29:53 2014 cycles contain 11259674 unique relations
  197. Thu Jun 19 17:40:39 2014 read 11259674 relations
  198. Thu Jun 19 17:41:27 2014 multiplying 11259674 relations
  199. Thu Jun 19 17:54:10 2014 multiply complete, coefficients have about 407.23 million bits
  200. Thu Jun 19 17:54:11 2014 initial square root is modulo 20276587
  201. Thu Jun 19 18:10:12 2014 sqrtTime: 2429
  202. Thu Jun 19 18:10:12 2014 prp82 factor: 2522900645100436746706248122207073237316290434436233951502904003109201078966619607
  203. Thu Jun 19 18:10:12 2014 prp83 factor: 20518471023066593040099008581183830942107036167187590926121640665165668700758447041
  204. Thu Jun 19 18:10:12 2014 elapsed time 00:40:30
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