mersenneforum

3931_59_minus1

Dec 6th, 2015
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  1. Tue Oct 30 12:28:42 2012
  2. Tue Oct 30 12:28:42 2012
  3. Tue Oct 30 12:28:42 2012 Msieve v. 1.50 (SVN Official Release)
  4. Tue Oct 30 12:28:42 2012 random seeds: 8653fe4c ecaba755
  5. Tue Oct 30 12:28:42 2012 factoring 30289146446485776205402277729434184362162110653701668334664881518583540930496930800525221979069778027065942985184167804684731663432978701159585322431406034933683269707182844260779379201082402731080739837620389 (209 digits)
  6. Tue Oct 30 12:28:43 2012 searching for 15-digit factors
  7. Tue Oct 30 12:28:43 2012 commencing number field sieve (209-digit input)
  8. Tue Oct 30 12:28:43 2012 R0: -881110624845778786694945739125599801
  9. Tue Oct 30 12:28:43 2012 R1: 1
  10. Tue Oct 30 12:28:43 2012 A0: -3931
  11. Tue Oct 30 12:28:43 2012 A1: 0
  12. Tue Oct 30 12:28:43 2012 A2: 0
  13. Tue Oct 30 12:28:43 2012 A3: 0
  14. Tue Oct 30 12:28:43 2012 A4: 0
  15. Tue Oct 30 12:28:43 2012 A5: 0
  16. Tue Oct 30 12:28:43 2012 A6: 1
  17. Tue Oct 30 12:28:43 2012 skew 1.00, size 6.160e-011, alpha 1.822, combined = 2.063e-012 rroots = 2
  18. Tue Oct 30 12:28:43 2012
  19. Tue Oct 30 12:28:43 2012 commencing relation filtering
  20. Tue Oct 30 12:28:43 2012 estimated available RAM is 8183.1 MB
  21. Tue Oct 30 12:28:43 2012 commencing duplicate removal, pass 1
  22. Tue Oct 30 12:30:04 2012 error -9 reading relation 12613354
  23. Tue Oct 30 12:30:09 2012 error -1 reading relation 13764239
  24. Tue Oct 30 12:30:09 2012 error -15 reading relation 13782836
  25. Tue Oct 30 12:31:38 2012 error -1 reading relation 29569064
  26. Tue Oct 30 12:31:39 2012 error -9 reading relation 29710919
  27. Tue Oct 30 12:32:25 2012 error -9 reading relation 37536590
  28. Tue Oct 30 12:32:25 2012 error -9 reading relation 37536630
  29. Tue Oct 30 12:33:00 2012 error -1 reading relation 43651562
  30. Tue Oct 30 12:33:00 2012 error -15 reading relation 43740428
  31. Tue Oct 30 12:33:09 2012 error -15 reading relation 45358957
  32. Tue Oct 30 12:33:14 2012 error -15 reading relation 46419241
  33. Tue Oct 30 12:33:26 2012 error -1 reading relation 49234152
  34. Tue Oct 30 12:33:31 2012 error -9 reading relation 50143464
  35. Tue Oct 30 12:33:43 2012 error -9 reading relation 52158353
  36. Tue Oct 30 12:33:49 2012 error -15 reading relation 53159991
  37. Tue Oct 30 12:33:49 2012 error -9 reading relation 53190844
  38. Tue Oct 30 12:33:49 2012 error -15 reading relation 53207301
  39. Tue Oct 30 12:33:49 2012 error -1 reading relation 53226255
  40. Tue Oct 30 12:33:49 2012 error -15 reading relation 53241646
  41. Tue Oct 30 12:33:50 2012 error -15 reading relation 53333855
  42. Tue Oct 30 12:33:50 2012 error -5 reading relation 53421607
  43. Tue Oct 30 12:33:53 2012 error -9 reading relation 53983734
  44. Tue Oct 30 12:34:03 2012 found 10976713 hash collisions in 55626612 relations
  45. Tue Oct 30 12:34:28 2012 added 1219498 free relations
  46. Tue Oct 30 12:34:28 2012 commencing duplicate removal, pass 2
  47. Tue Oct 30 12:35:18 2012 found 10947741 duplicates and 45898369 unique relations
  48. Tue Oct 30 12:35:18 2012 memory use: 330.4 MB
  49. Tue Oct 30 12:35:18 2012 reading ideals above 53805056
  50. Tue Oct 30 12:35:18 2012 commencing singleton removal, initial pass
  51. Tue Oct 30 12:41:06 2012 memory use: 753.0 MB
  52. Tue Oct 30 12:41:06 2012 reading all ideals from disk
  53. Tue Oct 30 12:41:06 2012 memory use: 756.4 MB
  54. Tue Oct 30 12:41:08 2012 commencing in-memory singleton removal
  55. Tue Oct 30 12:41:09 2012 begin with 45898369 relations and 39916848 unique ideals
  56. Tue Oct 30 12:41:25 2012 reduce to 25979786 relations and 17550747 ideals in 15 passes
  57. Tue Oct 30 12:41:25 2012 max relations containing the same ideal: 27
  58. Tue Oct 30 12:41:27 2012 reading ideals above 720000
  59. Tue Oct 30 12:41:28 2012 commencing singleton removal, initial pass
  60. Tue Oct 30 12:45:50 2012 memory use: 689.0 MB
  61. Tue Oct 30 12:45:50 2012 reading all ideals from disk
  62. Tue Oct 30 12:45:51 2012 memory use: 939.2 MB
  63. Tue Oct 30 12:45:53 2012 keeping 23838535 ideals with weight <= 200, target excess is 140818
  64. Tue Oct 30 12:45:55 2012 commencing in-memory singleton removal
  65. Tue Oct 30 12:45:58 2012 begin with 25979813 relations and 23838535 unique ideals
  66. Tue Oct 30 12:46:21 2012 reduce to 25937907 relations and 23796436 ideals in 10 passes
  67. Tue Oct 30 12:46:21 2012 max relations containing the same ideal: 200
  68. Tue Oct 30 12:46:33 2012 removing 2946990 relations and 2546990 ideals in 400000 cliques
  69. Tue Oct 30 12:46:33 2012 commencing in-memory singleton removal
  70. Tue Oct 30 12:46:36 2012 begin with 22990917 relations and 23796436 unique ideals
  71. Tue Oct 30 12:46:54 2012 reduce to 22736423 relations and 20989578 ideals in 9 passes
  72. Tue Oct 30 12:46:54 2012 max relations containing the same ideal: 191
  73. Tue Oct 30 12:47:04 2012 removing 2177533 relations and 1777533 ideals in 400000 cliques
  74. Tue Oct 30 12:47:05 2012 commencing in-memory singleton removal
  75. Tue Oct 30 12:47:06 2012 begin with 20558890 relations and 20989578 unique ideals
  76. Tue Oct 30 12:47:21 2012 reduce to 20406651 relations and 19057066 ideals in 8 passes
  77. Tue Oct 30 12:47:21 2012 max relations containing the same ideal: 176
  78. Tue Oct 30 12:47:30 2012 removing 1925125 relations and 1525125 ideals in 400000 cliques
  79. Tue Oct 30 12:47:31 2012 commencing in-memory singleton removal
  80. Tue Oct 30 12:47:32 2012 begin with 18481526 relations and 19057066 unique ideals
  81. Tue Oct 30 12:47:45 2012 reduce to 18350308 relations and 17398409 ideals in 8 passes
  82. Tue Oct 30 12:47:45 2012 max relations containing the same ideal: 165
  83. Tue Oct 30 12:47:53 2012 removing 1795170 relations and 1395170 ideals in 400000 cliques
  84. Tue Oct 30 12:47:54 2012 commencing in-memory singleton removal
  85. Tue Oct 30 12:47:55 2012 begin with 16555138 relations and 17398409 unique ideals
  86. Tue Oct 30 12:48:07 2012 reduce to 16429668 relations and 15875268 ideals in 8 passes
  87. Tue Oct 30 12:48:07 2012 max relations containing the same ideal: 155
  88. Tue Oct 30 12:48:14 2012 removing 1675416 relations and 1284365 ideals in 391051 cliques
  89. Tue Oct 30 12:48:14 2012 commencing in-memory singleton removal
  90. Tue Oct 30 12:48:16 2012 begin with 14754252 relations and 15875268 unique ideals
  91. Tue Oct 30 12:48:25 2012 reduce to 14633335 relations and 14467377 ideals in 7 passes
  92. Tue Oct 30 12:48:25 2012 max relations containing the same ideal: 141
  93. Tue Oct 30 12:48:34 2012 relations with 0 large ideals: 5141
  94. Tue Oct 30 12:48:34 2012 relations with 1 large ideals: 1249
  95. Tue Oct 30 12:48:34 2012 relations with 2 large ideals: 6632
  96. Tue Oct 30 12:48:34 2012 relations with 3 large ideals: 65861
  97. Tue Oct 30 12:48:34 2012 relations with 4 large ideals: 373586
  98. Tue Oct 30 12:48:34 2012 relations with 5 large ideals: 1291385
  99. Tue Oct 30 12:48:34 2012 relations with 6 large ideals: 2805540
  100. Tue Oct 30 12:48:34 2012 relations with 7+ large ideals: 10083941
  101. Tue Oct 30 12:48:34 2012 commencing 2-way merge
  102. Tue Oct 30 12:48:43 2012 reduce to 9728366 relation sets and 9562408 unique ideals
  103. Tue Oct 30 12:48:43 2012 commencing full merge
  104. Tue Oct 30 12:51:16 2012 memory use: 1208.5 MB
  105. Tue Oct 30 12:51:17 2012 found 5129834 cycles, need 5106608
  106. Tue Oct 30 12:51:17 2012 weight of 5106608 cycles is about 357518309 (70.01/cycle)
  107. Tue Oct 30 12:51:17 2012 distribution of cycle lengths:
  108. Tue Oct 30 12:51:17 2012 1 relations: 593316
  109. Tue Oct 30 12:51:17 2012 2 relations: 636696
  110. Tue Oct 30 12:51:17 2012 3 relations: 637320
  111. Tue Oct 30 12:51:17 2012 4 relations: 576281
  112. Tue Oct 30 12:51:17 2012 5 relations: 518653
  113. Tue Oct 30 12:51:17 2012 6 relations: 444470
  114. Tue Oct 30 12:51:17 2012 7 relations: 377515
  115. Tue Oct 30 12:51:17 2012 8 relations: 313478
  116. Tue Oct 30 12:51:17 2012 9 relations: 251686
  117. Tue Oct 30 12:51:17 2012 10+ relations: 757193
  118. Tue Oct 30 12:51:17 2012 heaviest cycle: 23 relations
  119. Tue Oct 30 12:51:18 2012 commencing cycle optimization
  120. Tue Oct 30 12:51:23 2012 start with 28137283 relations
  121. Tue Oct 30 12:52:07 2012 pruned 745501 relations
  122. Tue Oct 30 12:52:07 2012 memory use: 895.9 MB
  123. Tue Oct 30 12:52:07 2012 distribution of cycle lengths:
  124. Tue Oct 30 12:52:07 2012 1 relations: 593316
  125. Tue Oct 30 12:52:07 2012 2 relations: 649866
  126. Tue Oct 30 12:52:07 2012 3 relations: 659964
  127. Tue Oct 30 12:52:07 2012 4 relations: 590773
  128. Tue Oct 30 12:52:07 2012 5 relations: 531978
  129. Tue Oct 30 12:52:07 2012 6 relations: 450795
  130. Tue Oct 30 12:52:07 2012 7 relations: 382096
  131. Tue Oct 30 12:52:07 2012 8 relations: 312197
  132. Tue Oct 30 12:52:07 2012 9 relations: 248064
  133. Tue Oct 30 12:52:07 2012 10+ relations: 687559
  134. Tue Oct 30 12:52:07 2012 heaviest cycle: 22 relations
  135. Tue Oct 30 12:52:11 2012 RelProcTime: 1408
  136. Tue Oct 30 12:52:11 2012
  137. Tue Oct 30 12:52:11 2012 commencing linear algebra
  138. Tue Oct 30 12:52:12 2012 read 5106608 cycles
  139. Tue Oct 30 12:52:19 2012 cycles contain 14503456 unique relations
  140. Tue Oct 30 12:54:42 2012 read 14503456 relations
  141. Tue Oct 30 12:55:01 2012 using 20 quadratic characters above 536870364
  142. Tue Oct 30 12:56:02 2012 building initial matrix
  143. Tue Oct 30 12:58:37 2012 memory use: 1866.2 MB
  144. Tue Oct 30 12:58:45 2012 read 5106608 cycles
  145. Tue Oct 30 12:58:47 2012 matrix is 5106430 x 5106608 (1529.8 MB) with weight 454173444 (88.94/col)
  146. Tue Oct 30 12:58:47 2012 sparse part has weight 344842458 (67.53/col)
  147. Tue Oct 30 12:59:30 2012 filtering completed in 2 passes
  148. Tue Oct 30 12:59:31 2012 matrix is 5105359 x 5105537 (1529.7 MB) with weight 454142339 (88.95/col)
  149. Tue Oct 30 12:59:31 2012 sparse part has weight 344834486 (67.54/col)
  150. Tue Oct 30 12:59:55 2012 matrix starts at (0, 0)
  151. Tue Oct 30 12:59:57 2012 matrix is 5105359 x 5105537 (1529.7 MB) with weight 454142339 (88.95/col)
  152. Tue Oct 30 12:59:57 2012 sparse part has weight 344834486 (67.54/col)
  153. Tue Oct 30 12:59:57 2012 saving the first 48 matrix rows for later
  154. Tue Oct 30 12:59:58 2012 matrix includes 64 packed rows
  155. Tue Oct 30 12:59:59 2012 matrix is 5105311 x 5105537 (1460.9 MB) with weight 358747245 (70.27/col)
  156. Tue Oct 30 12:59:59 2012 sparse part has weight 331902367 (65.01/col)
  157. Tue Oct 30 12:59:59 2012 using block size 65536 for processor cache size 8192 kB
  158. Tue Oct 30 13:00:16 2012 commencing Lanczos iteration (4 threads)
  159. Tue Oct 30 13:00:16 2012 memory use: 1314.6 MB
  160. Tue Oct 30 13:00:53 2012 linear algebra at 0.0%, ETA 33h42m
  161. Tue Oct 30 13:01:05 2012 checkpointing every 160000 dimensions
  162. Wed Oct 31 21:52:42 2012 lanczos halted after 80739 iterations (dim = 5105309)
  163. Wed Oct 31 21:52:49 2012 recovered 34 nontrivial dependencies
  164. Wed Oct 31 21:52:50 2012 BLanczosTime: 118839
  165. Wed Oct 31 21:52:50 2012
  166. Wed Oct 31 21:52:50 2012 commencing square root phase
  167. Wed Oct 31 21:52:50 2012 reading relations for dependency 1
  168. Wed Oct 31 21:52:51 2012 read 2552176 cycles
  169. Wed Oct 31 21:52:55 2012 cycles contain 7253324 unique relations
  170. Wed Oct 31 21:54:15 2012 read 7253324 relations
  171. Wed Oct 31 21:54:52 2012 multiplying 7253324 relations
  172. Wed Oct 31 22:00:19 2012 multiply complete, coefficients have about 181.63 million bits
  173. Wed Oct 31 22:00:20 2012 initial square root is modulo 3297937
  174. Wed Oct 31 22:07:18 2012 sqrtTime: 868
  175. Wed Oct 31 22:07:18 2012 prp76 factor: 1549868390017542863366107152621933632001709266642660073196264344950478026323
  176. Wed Oct 31 22:07:18 2012 prp134 factor: 19543044197541789500776261986168129792767024110530393830985814462528368461807351827072833571463616040262809892160018097898165566549543
  177. Wed Oct 31 22:07:18 2012 elapsed time 33:38:36
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