mersenneforum

GW_3_476

Jan 1st, 2016
153
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  1. Tue Dec 29 22:17:19 2015
  2. Tue Dec 29 22:17:19 2015 Msieve v. 1.53 (SVN unknown)
  3. Tue Dec 29 22:17:19 2015 random seeds: 9ef05bad cb8cbe1d
  4. Tue Dec 29 22:17:19 2015 factoring 90217950629661446962396062764749280168460086838703635072859606873394395674434290066935500522230410536525783821965413133981970860509972470053640539106561760018650490679267097 (173 digits)
  5. Tue Dec 29 22:17:20 2015 searching for 15-digit factors
  6. Tue Dec 29 22:17:21 2015 commencing number field sieve (173-digit input)
  7. Tue Dec 29 22:17:21 2015 R0: -49269609804781974438694403402127765867
  8. Tue Dec 29 22:17:21 2015 R1: 1
  9. Tue Dec 29 22:17:21 2015 A0: -1
  10. Tue Dec 29 22:17:21 2015 A1: 0
  11. Tue Dec 29 22:17:21 2015 A2: 0
  12. Tue Dec 29 22:17:21 2015 A3: 0
  13. Tue Dec 29 22:17:21 2015 A4: 0
  14. Tue Dec 29 22:17:21 2015 A5: 0
  15. Tue Dec 29 22:17:21 2015 A6: 4284
  16. Tue Dec 29 22:17:21 2015 skew 1.00, size 1.512e-11, alpha 0.714, combined = 8.162e-13 rroots = 2
  17. Tue Dec 29 22:17:21 2015
  18. Tue Dec 29 22:17:21 2015 commencing relation filtering
  19. Tue Dec 29 22:17:21 2015 setting target matrix density to 120.0
  20. Tue Dec 29 22:17:21 2015 estimated available RAM is 16040.3 MB
  21. Tue Dec 29 22:17:21 2015 commencing duplicate removal, pass 1
  22. Tue Dec 29 22:19:34 2015 error -5 reading relation 18975425
  23. Tue Dec 29 22:22:07 2015 error -9 reading relation 41159810
  24. Tue Dec 29 22:23:56 2015 error -15 reading relation 56981123
  25. Tue Dec 29 22:26:17 2015 error -5 reading relation 77442078
  26. Tue Dec 29 22:27:00 2015 error -9 reading relation 83770102
  27. Tue Dec 29 22:30:28 2015 error -9 reading relation 114688336
  28. Tue Dec 29 22:30:58 2015 error -9 reading relation 119328886
  29. Tue Dec 29 22:31:24 2015 error -15 reading relation 123194751
  30. Tue Dec 29 22:31:29 2015 error -9 reading relation 123872359
  31. Tue Dec 29 22:31:49 2015 error -1 reading relation 126834156
  32. Tue Dec 29 22:31:53 2015 error -1 reading relation 127477061
  33. Tue Dec 29 22:31:58 2015 error -9 reading relation 128248853
  34. Tue Dec 29 22:32:16 2015 skipped 164 relations with b > 2^32
  35. Tue Dec 29 22:32:16 2015 skipped 12 relations with composite factors
  36. Tue Dec 29 22:32:16 2015 found 24698632 hash collisions in 131074070 relations
  37. Tue Dec 29 22:32:31 2015 added 1218641 free relations
  38. Tue Dec 29 22:32:31 2015 commencing duplicate removal, pass 2
  39. Tue Dec 29 22:33:13 2015 found 23216878 duplicates and 109075833 unique relations
  40. Tue Dec 29 22:33:13 2015 memory use: 660.8 MB
  41. Tue Dec 29 22:33:13 2015 reading ideals above 99942400
  42. Tue Dec 29 22:33:13 2015 commencing singleton removal, initial pass
  43. Tue Dec 29 22:44:06 2015 memory use: 2756.0 MB
  44. Tue Dec 29 22:44:06 2015 reading all ideals from disk
  45. Tue Dec 29 22:44:18 2015 memory use: 1834.1 MB
  46. Tue Dec 29 22:44:22 2015 commencing in-memory singleton removal
  47. Tue Dec 29 22:44:25 2015 begin with 109075833 relations and 82940256 unique ideals
  48. Tue Dec 29 22:44:58 2015 reduce to 78650984 relations and 49978368 ideals in 11 passes
  49. Tue Dec 29 22:44:58 2015 max relations containing the same ideal: 37
  50. Tue Dec 29 22:45:02 2015 reading ideals above 720000
  51. Tue Dec 29 22:45:02 2015 commencing singleton removal, initial pass
  52. Tue Dec 29 22:54:48 2015 memory use: 1506.0 MB
  53. Tue Dec 29 22:54:48 2015 reading all ideals from disk
  54. Tue Dec 29 22:55:09 2015 memory use: 2999.1 MB
  55. Tue Dec 29 22:55:16 2015 keeping 61096837 ideals with weight <= 200, target excess is 398574
  56. Tue Dec 29 22:55:23 2015 commencing in-memory singleton removal
  57. Tue Dec 29 22:55:29 2015 begin with 78650984 relations and 61096837 unique ideals
  58. Tue Dec 29 22:55:52 2015 reduce to 78650584 relations and 61096437 ideals in 4 passes
  59. Tue Dec 29 22:55:52 2015 max relations containing the same ideal: 200
  60. Tue Dec 29 22:56:18 2015 removing 8163407 relations and 6163407 ideals in 2000000 cliques
  61. Tue Dec 29 22:56:20 2015 commencing in-memory singleton removal
  62. Tue Dec 29 22:56:25 2015 begin with 70487177 relations and 61096437 unique ideals
  63. Tue Dec 29 22:57:00 2015 reduce to 69822574 relations and 54247892 ideals in 8 passes
  64. Tue Dec 29 22:57:00 2015 max relations containing the same ideal: 193
  65. Tue Dec 29 22:57:23 2015 removing 6539899 relations and 4539899 ideals in 2000000 cliques
  66. Tue Dec 29 22:57:25 2015 commencing in-memory singleton removal
  67. Tue Dec 29 22:57:29 2015 begin with 63282675 relations and 54247892 unique ideals
  68. Tue Dec 29 22:57:56 2015 reduce to 62813175 relations and 49225319 ideals in 7 passes
  69. Tue Dec 29 22:57:56 2015 max relations containing the same ideal: 181
  70. Tue Dec 29 22:58:17 2015 removing 6091121 relations and 4091121 ideals in 2000000 cliques
  71. Tue Dec 29 22:58:19 2015 commencing in-memory singleton removal
  72. Tue Dec 29 22:58:22 2015 begin with 56722054 relations and 49225319 unique ideals
  73. Tue Dec 29 22:58:50 2015 reduce to 56294260 relations and 44693995 ideals in 8 passes
  74. Tue Dec 29 22:58:50 2015 max relations containing the same ideal: 172
  75. Tue Dec 29 22:59:09 2015 removing 5873019 relations and 3873019 ideals in 2000000 cliques
  76. Tue Dec 29 22:59:11 2015 commencing in-memory singleton removal
  77. Tue Dec 29 22:59:14 2015 begin with 50421241 relations and 44693995 unique ideals
  78. Tue Dec 29 22:59:36 2015 reduce to 50004157 relations and 40390817 ideals in 7 passes
  79. Tue Dec 29 22:59:36 2015 max relations containing the same ideal: 162
  80. Tue Dec 29 22:59:53 2015 removing 5738939 relations and 3738939 ideals in 2000000 cliques
  81. Tue Dec 29 22:59:55 2015 commencing in-memory singleton removal
  82. Tue Dec 29 22:59:58 2015 begin with 44265218 relations and 40390817 unique ideals
  83. Tue Dec 29 23:00:14 2015 reduce to 43835109 relations and 36206666 ideals in 6 passes
  84. Tue Dec 29 23:00:14 2015 max relations containing the same ideal: 149
  85. Tue Dec 29 23:00:29 2015 removing 5663057 relations and 3663057 ideals in 2000000 cliques
  86. Tue Dec 29 23:00:31 2015 commencing in-memory singleton removal
  87. Tue Dec 29 23:00:33 2015 begin with 38172052 relations and 36206666 unique ideals
  88. Tue Dec 29 23:00:49 2015 reduce to 37709192 relations and 32062769 ideals in 7 passes
  89. Tue Dec 29 23:00:49 2015 max relations containing the same ideal: 133
  90. Tue Dec 29 23:01:03 2015 removing 5617325 relations and 3617325 ideals in 2000000 cliques
  91. Tue Dec 29 23:01:04 2015 commencing in-memory singleton removal
  92. Tue Dec 29 23:01:06 2015 begin with 32091867 relations and 32062769 unique ideals
  93. Tue Dec 29 23:01:19 2015 reduce to 31570666 relations and 27900940 ideals in 7 passes
  94. Tue Dec 29 23:01:19 2015 max relations containing the same ideal: 116
  95. Tue Dec 29 23:01:31 2015 removing 5597057 relations and 3597057 ideals in 2000000 cliques
  96. Tue Dec 29 23:01:32 2015 commencing in-memory singleton removal
  97. Tue Dec 29 23:01:34 2015 begin with 25973609 relations and 27900940 unique ideals
  98. Tue Dec 29 23:01:46 2015 reduce to 25353906 relations and 23650740 ideals in 8 passes
  99. Tue Dec 29 23:01:46 2015 max relations containing the same ideal: 97
  100. Tue Dec 29 23:01:55 2015 removing 3780629 relations and 2539809 ideals in 1240820 cliques
  101. Tue Dec 29 23:01:56 2015 commencing in-memory singleton removal
  102. Tue Dec 29 23:01:58 2015 begin with 21573277 relations and 23650740 unique ideals
  103. Tue Dec 29 23:02:06 2015 reduce to 21167124 relations and 20686809 ideals in 7 passes
  104. Tue Dec 29 23:02:06 2015 max relations containing the same ideal: 86
  105. Tue Dec 29 23:02:14 2015 removing 109100 relations and 91131 ideals in 17969 cliques
  106. Tue Dec 29 23:02:15 2015 commencing in-memory singleton removal
  107. Tue Dec 29 23:02:16 2015 begin with 21058024 relations and 20686809 unique ideals
  108. Tue Dec 29 23:02:21 2015 reduce to 21057527 relations and 20595181 ideals in 4 passes
  109. Tue Dec 29 23:02:21 2015 max relations containing the same ideal: 85
  110. Tue Dec 29 23:02:25 2015 relations with 0 large ideals: 15047
  111. Tue Dec 29 23:02:25 2015 relations with 1 large ideals: 4622
  112. Tue Dec 29 23:02:25 2015 relations with 2 large ideals: 57631
  113. Tue Dec 29 23:02:25 2015 relations with 3 large ideals: 415201
  114. Tue Dec 29 23:02:25 2015 relations with 4 large ideals: 1624533
  115. Tue Dec 29 23:02:25 2015 relations with 5 large ideals: 3782077
  116. Tue Dec 29 23:02:25 2015 relations with 6 large ideals: 5504999
  117. Tue Dec 29 23:02:25 2015 relations with 7+ large ideals: 9653417
  118. Tue Dec 29 23:02:25 2015 commencing 2-way merge
  119. Tue Dec 29 23:02:34 2015 reduce to 14573258 relation sets and 14110912 unique ideals
  120. Tue Dec 29 23:02:34 2015 commencing full merge
  121. Tue Dec 29 23:07:20 2015 memory use: 1896.2 MB
  122. Tue Dec 29 23:07:21 2015 found 6497183 cycles, need 6497112
  123. Tue Dec 29 23:07:23 2015 weight of 6497112 cycles is about 779747391 (120.01/cycle)
  124. Tue Dec 29 23:07:23 2015 distribution of cycle lengths:
  125. Tue Dec 29 23:07:23 2015 1 relations: 194559
  126. Tue Dec 29 23:07:23 2015 2 relations: 346040
  127. Tue Dec 29 23:07:23 2015 3 relations: 436503
  128. Tue Dec 29 23:07:23 2015 4 relations: 469062
  129. Tue Dec 29 23:07:23 2015 5 relations: 491350
  130. Tue Dec 29 23:07:23 2015 6 relations: 494593
  131. Tue Dec 29 23:07:23 2015 7 relations: 485630
  132. Tue Dec 29 23:07:23 2015 8 relations: 467486
  133. Tue Dec 29 23:07:23 2015 9 relations: 435039
  134. Tue Dec 29 23:07:23 2015 10+ relations: 2676850
  135. Tue Dec 29 23:07:23 2015 heaviest cycle: 28 relations
  136. Tue Dec 29 23:07:25 2015 commencing cycle optimization
  137. Tue Dec 29 23:07:35 2015 start with 59552532 relations
  138. Tue Dec 29 23:09:34 2015 pruned 3177040 relations
  139. Tue Dec 29 23:09:34 2015 memory use: 1493.1 MB
  140. Tue Dec 29 23:09:34 2015 distribution of cycle lengths:
  141. Tue Dec 29 23:09:34 2015 1 relations: 194559
  142. Tue Dec 29 23:09:34 2015 2 relations: 355635
  143. Tue Dec 29 23:09:34 2015 3 relations: 457163
  144. Tue Dec 29 23:09:34 2015 4 relations: 491511
  145. Tue Dec 29 23:09:34 2015 5 relations: 520418
  146. Tue Dec 29 23:09:34 2015 6 relations: 523278
  147. Tue Dec 29 23:09:34 2015 7 relations: 516967
  148. Tue Dec 29 23:09:34 2015 8 relations: 493917
  149. Tue Dec 29 23:09:34 2015 9 relations: 458233
  150. Tue Dec 29 23:09:34 2015 10+ relations: 2485431
  151. Tue Dec 29 23:09:34 2015 heaviest cycle: 28 relations
  152. Tue Dec 29 23:09:42 2015 RelProcTime: 3141
  153. Tue Dec 29 23:09:42 2015
  154. Tue Dec 29 23:09:42 2015 commencing linear algebra
  155. Tue Dec 29 23:09:45 2015 read 6497112 cycles
  156. Tue Dec 29 23:09:58 2015 cycles contain 20836233 unique relations
  157. Tue Dec 29 23:12:18 2015 read 20836233 relations
  158. Tue Dec 29 23:12:42 2015 using 20 quadratic characters above 1073740848
  159. Tue Dec 29 23:14:05 2015 building initial matrix
  160. Tue Dec 29 23:18:17 2015 memory use: 2722.5 MB
  161. Tue Dec 29 23:18:19 2015 read 6497112 cycles
  162. Tue Dec 29 23:18:20 2015 matrix is 6496935 x 6497112 (3019.4 MB) with weight 875535576 (134.76/col)
  163. Tue Dec 29 23:18:20 2015 sparse part has weight 720038668 (110.82/col)
  164. Tue Dec 29 23:19:30 2015 filtering completed in 2 passes
  165. Tue Dec 29 23:19:31 2015 matrix is 6496915 x 6497092 (3019.4 MB) with weight 875534972 (134.76/col)
  166. Tue Dec 29 23:19:31 2015 sparse part has weight 720038534 (110.82/col)
  167. Tue Dec 29 23:19:48 2015 matrix starts at (0, 0)
  168. Tue Dec 29 23:19:49 2015 matrix is 6496915 x 6497092 (3019.4 MB) with weight 875534972 (134.76/col)
  169. Tue Dec 29 23:19:49 2015 sparse part has weight 720038534 (110.82/col)
  170. Tue Dec 29 23:19:49 2015 saving the first 48 matrix rows for later
  171. Tue Dec 29 23:19:50 2015 matrix includes 64 packed rows
  172. Tue Dec 29 23:19:51 2015 matrix is 6496867 x 6497092 (2900.9 MB) with weight 750859945 (115.57/col)
  173. Tue Dec 29 23:19:51 2015 sparse part has weight 695485899 (107.05/col)
  174. Tue Dec 29 23:19:51 2015 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  175. Tue Dec 29 23:20:15 2015 commencing Lanczos iteration (4 threads)
  176. Tue Dec 29 23:20:15 2015 memory use: 2461.1 MB
  177. Tue Dec 29 23:21:07 2015 linear algebra at 0.0%, ETA 59h32m
  178. Tue Dec 29 23:21:24 2015 checkpointing every 110000 dimensions
  179. Thu Dec 31 11:27:37 2015 lanczos halted after 102742 iterations (dim = 6496865)
  180. Thu Dec 31 11:27:42 2015 recovered 41 nontrivial dependencies
  181. Thu Dec 31 11:27:42 2015 BLanczosTime: 130680
  182. Thu Dec 31 11:27:42 2015
  183. Thu Dec 31 11:27:42 2015 commencing square root phase
  184. Thu Dec 31 11:27:42 2015 handling dependencies 1 to 64
  185. Thu Dec 31 11:27:42 2015 reading relations for dependency 1
  186. Thu Dec 31 11:27:43 2015 read 3247137 cycles
  187. Thu Dec 31 11:27:49 2015 cycles contain 10413660 unique relations
  188. Thu Dec 31 11:29:42 2015 read 10413660 relations
  189. Thu Dec 31 11:30:21 2015 multiplying 10413660 relations
  190. Thu Dec 31 11:38:08 2015 multiply complete, coefficients have about 371.13 million bits
  191. Thu Dec 31 11:38:09 2015 initial square root is modulo 4563649
  192. Thu Dec 31 11:47:01 2015 sqrtTime: 1159
  193. Thu Dec 31 11:47:01 2015 prp56 factor: 14635096559014854486553588561174243514764686911567877449
  194. Thu Dec 31 11:47:01 2015 prp118 factor: 6164493023046673332418532316660557611905060788835161610151276347203162809399665371849604331478161694487871020569852753
  195. Thu Dec 31 11:47:01 2015 elapsed time 37:29:42
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