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5p3_1125M postprocessing log

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Dec 28th, 2018
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  1. Wed Dec 26 18:18:06 2018 Msieve v. 1.54 (SVN 1025)
  2. Wed Dec 26 18:18:06 2018 random seeds: 8891ebf7 a76c7b55
  3. Wed Dec 26 18:18:06 2018 factoring 648237614542146293324803619546857130709124378307840622193403818924439592443136176849132983332246738827959005577221502032909206208795690124021157475304453825141905257895085482030204687580233644251 (195 digits)
  4. Wed Dec 26 18:18:07 2018 no P-1/P+1/ECM available, skipping
  5. Wed Dec 26 18:18:07 2018 commencing number field sieve (195-digit input)
  6. Wed Dec 26 18:18:07 2018 R0: -26469779601696886204151865859596520433789980167689432
  7. Wed Dec 26 18:18:07 2018 R1: 98287398408355663486872799694538116455078125
  8. Wed Dec 26 18:18:07 2018 A0: -25
  9. Wed Dec 26 18:18:07 2018 A1: 0
  10. Wed Dec 26 18:18:07 2018 A2: 60
  11. Wed Dec 26 18:18:07 2018 A3: 45
  12. Wed Dec 26 18:18:07 2018 A4: 9
  13. Wed Dec 26 18:18:07 2018 skew 1.21, size 1.503e-21, alpha 1.626, combined = 7.026e-13 rroots = 4
  14. Wed Dec 26 18:18:07 2018
  15. Wed Dec 26 18:18:07 2018 commencing relation filtering
  16. Wed Dec 26 18:18:07 2018 setting target matrix density to 110.0
  17. Wed Dec 26 18:18:07 2018 estimated available RAM is 7681.4 MB
  18. Wed Dec 26 18:18:07 2018 commencing duplicate removal, pass 1
  19. Wed Dec 26 18:38:35 2018 skipped 125 relations with b > 2^32
  20. Wed Dec 26 18:38:35 2018 skipped 253 relations with composite factors
  21. Wed Dec 26 18:38:35 2018 found 22534524 hash collisions in 122140589 relations
  22. Wed Dec 26 18:38:35 2018 commencing duplicate removal, pass 2
  23. Wed Dec 26 18:44:40 2018 found 21434716 duplicates and 100705873 unique relations
  24. Wed Dec 26 18:44:40 2018 memory use: 660.8 MB
  25. Wed Dec 26 18:44:40 2018 reading ideals above 112656384
  26. Wed Dec 26 18:44:40 2018 commencing singleton removal, initial pass
  27. Wed Dec 26 18:58:22 2018 memory use: 1506.0 MB
  28. Wed Dec 26 18:58:22 2018 reading all ideals from disk
  29. Wed Dec 26 18:58:40 2018 memory use: 1601.2 MB
  30. Wed Dec 26 18:58:43 2018 commencing in-memory singleton removal
  31. Wed Dec 26 18:58:47 2018 begin with 100705873 relations and 76629980 unique ideals
  32. Wed Dec 26 18:59:26 2018 reduce to 67490724 relations and 40088723 ideals in 12 passes
  33. Wed Dec 26 18:59:26 2018 max relations containing the same ideal: 40
  34. Wed Dec 26 18:59:29 2018 reading ideals above 720000
  35. Wed Dec 26 18:59:29 2018 commencing singleton removal, initial pass
  36. Wed Dec 26 19:12:15 2018 memory use: 1378.0 MB
  37. Wed Dec 26 19:12:16 2018 reading all ideals from disk
  38. Wed Dec 26 19:12:57 2018 memory use: 2520.8 MB
  39. Wed Dec 26 19:13:03 2018 keeping 52630843 ideals with weight <= 200, target excess is 350063
  40. Wed Dec 26 19:13:10 2018 commencing in-memory singleton removal
  41. Wed Dec 26 19:13:16 2018 begin with 67490724 relations and 52630843 unique ideals
  42. Wed Dec 26 19:14:08 2018 reduce to 67461822 relations and 52601524 ideals in 8 passes
  43. Wed Dec 26 19:14:08 2018 max relations containing the same ideal: 200
  44. Wed Dec 26 19:14:38 2018 removing 8310778 relations and 6310778 ideals in 2000000 cliques
  45. Wed Dec 26 19:14:41 2018 commencing in-memory singleton removal
  46. Wed Dec 26 19:14:46 2018 begin with 59151044 relations and 52601524 unique ideals
  47. Wed Dec 26 19:15:25 2018 reduce to 58302662 relations and 45410250 ideals in 7 passes
  48. Wed Dec 26 19:15:25 2018 max relations containing the same ideal: 192
  49. Wed Dec 26 19:15:52 2018 removing 6628130 relations and 4628130 ideals in 2000000 cliques
  50. Wed Dec 26 19:15:54 2018 commencing in-memory singleton removal
  51. Wed Dec 26 19:15:58 2018 begin with 51674532 relations and 45410250 unique ideals
  52. Wed Dec 26 19:16:32 2018 reduce to 51093889 relations and 40180912 ideals in 7 passes
  53. Wed Dec 26 19:16:32 2018 max relations containing the same ideal: 177
  54. Wed Dec 26 19:16:55 2018 removing 6149241 relations and 4149241 ideals in 2000000 cliques
  55. Wed Dec 26 19:16:57 2018 commencing in-memory singleton removal
  56. Wed Dec 26 19:17:01 2018 begin with 44944648 relations and 40180912 unique ideals
  57. Wed Dec 26 19:17:29 2018 reduce to 44423575 relations and 35491336 ideals in 7 passes
  58. Wed Dec 26 19:17:29 2018 max relations containing the same ideal: 161
  59. Wed Dec 26 19:17:50 2018 removing 5894154 relations and 3894154 ideals in 2000000 cliques
  60. Wed Dec 26 19:17:52 2018 commencing in-memory singleton removal
  61. Wed Dec 26 19:17:55 2018 begin with 38529421 relations and 35491336 unique ideals
  62. Wed Dec 26 19:18:22 2018 reduce to 38023150 relations and 31070075 ideals in 8 passes
  63. Wed Dec 26 19:18:22 2018 max relations containing the same ideal: 148
  64. Wed Dec 26 19:18:40 2018 removing 5716243 relations and 3716243 ideals in 2000000 cliques
  65. Wed Dec 26 19:18:42 2018 commencing in-memory singleton removal
  66. Wed Dec 26 19:18:44 2018 begin with 32306907 relations and 31070075 unique ideals
  67. Wed Dec 26 19:19:05 2018 reduce to 31785934 relations and 26808622 ideals in 7 passes
  68. Wed Dec 26 19:19:05 2018 max relations containing the same ideal: 131
  69. Wed Dec 26 19:19:19 2018 removing 5583420 relations and 3583420 ideals in 2000000 cliques
  70. Wed Dec 26 19:19:21 2018 commencing in-memory singleton removal
  71. Wed Dec 26 19:19:23 2018 begin with 26202514 relations and 26808622 unique ideals
  72. Wed Dec 26 19:19:41 2018 reduce to 25641166 relations and 22633279 ideals in 8 passes
  73. Wed Dec 26 19:19:41 2018 max relations containing the same ideal: 114
  74. Wed Dec 26 19:19:53 2018 removing 5470440 relations and 3470440 ideals in 2000000 cliques
  75. Wed Dec 26 19:19:55 2018 commencing in-memory singleton removal
  76. Wed Dec 26 19:19:56 2018 begin with 20170726 relations and 22633279 unique ideals
  77. Wed Dec 26 19:20:12 2018 reduce to 19503553 relations and 18451205 ideals in 9 passes
  78. Wed Dec 26 19:20:12 2018 max relations containing the same ideal: 93
  79. Wed Dec 26 19:20:21 2018 removing 2162229 relations and 1515955 ideals in 646274 cliques
  80. Wed Dec 26 19:20:22 2018 commencing in-memory singleton removal
  81. Wed Dec 26 19:20:23 2018 begin with 17341324 relations and 18451205 unique ideals
  82. Wed Dec 26 19:20:33 2018 reduce to 17157212 relations and 16745381 ideals in 7 passes
  83. Wed Dec 26 19:20:33 2018 max relations containing the same ideal: 86
  84. Wed Dec 26 19:20:44 2018 relations with 0 large ideals: 27630
  85. Wed Dec 26 19:20:44 2018 relations with 1 large ideals: 3964
  86. Wed Dec 26 19:20:44 2018 relations with 2 large ideals: 46652
  87. Wed Dec 26 19:20:44 2018 relations with 3 large ideals: 333781
  88. Wed Dec 26 19:20:44 2018 relations with 4 large ideals: 1336125
  89. Wed Dec 26 19:20:44 2018 relations with 5 large ideals: 3762018
  90. Wed Dec 26 19:20:44 2018 relations with 6 large ideals: 4399191
  91. Wed Dec 26 19:20:44 2018 relations with 7+ large ideals: 7247851
  92. Wed Dec 26 19:20:44 2018 commencing 2-way merge
  93. Wed Dec 26 19:20:55 2018 reduce to 11964042 relation sets and 11552211 unique ideals
  94. Wed Dec 26 19:20:55 2018 commencing full merge
  95. Wed Dec 26 19:25:28 2018 memory use: 1488.0 MB
  96. Wed Dec 26 19:25:29 2018 found 5412927 cycles, need 5394411
  97. Wed Dec 26 19:25:31 2018 weight of 5394411 cycles is about 593938889 (110.10/cycle)
  98. Wed Dec 26 19:25:31 2018 distribution of cycle lengths:
  99. Wed Dec 26 19:25:31 2018 1 relations: 162923
  100. Wed Dec 26 19:25:31 2018 2 relations: 265764
  101. Wed Dec 26 19:25:31 2018 3 relations: 350801
  102. Wed Dec 26 19:25:31 2018 4 relations: 390316
  103. Wed Dec 26 19:25:31 2018 5 relations: 413239
  104. Wed Dec 26 19:25:31 2018 6 relations: 419798
  105. Wed Dec 26 19:25:31 2018 7 relations: 412635
  106. Wed Dec 26 19:25:31 2018 8 relations: 395944
  107. Wed Dec 26 19:25:31 2018 9 relations: 372152
  108. Wed Dec 26 19:25:31 2018 10+ relations: 2210839
  109. Wed Dec 26 19:25:31 2018 heaviest cycle: 28 relations
  110. Wed Dec 26 19:25:32 2018 commencing cycle optimization
  111. Wed Dec 26 19:25:44 2018 start with 48954105 relations
  112. Wed Dec 26 19:27:39 2018 pruned 2595180 relations
  113. Wed Dec 26 19:27:39 2018 memory use: 1221.5 MB
  114. Wed Dec 26 19:27:39 2018 distribution of cycle lengths:
  115. Wed Dec 26 19:27:39 2018 1 relations: 162923
  116. Wed Dec 26 19:27:39 2018 2 relations: 272845
  117. Wed Dec 26 19:27:39 2018 3 relations: 367407
  118. Wed Dec 26 19:27:39 2018 4 relations: 410017
  119. Wed Dec 26 19:27:39 2018 5 relations: 438785
  120. Wed Dec 26 19:27:39 2018 6 relations: 444674
  121. Wed Dec 26 19:27:39 2018 7 relations: 440146
  122. Wed Dec 26 19:27:39 2018 8 relations: 420669
  123. Wed Dec 26 19:27:39 2018 9 relations: 392619
  124. Wed Dec 26 19:27:39 2018 10+ relations: 2044326
  125. Wed Dec 26 19:27:39 2018 heaviest cycle: 28 relations
  126. Wed Dec 26 19:27:50 2018 RelProcTime: 4183
  127. Wed Dec 26 19:27:50 2018
  128. Wed Dec 26 19:27:50 2018 commencing linear algebra
  129. Wed Dec 26 19:27:51 2018 read 5394411 cycles
  130. Wed Dec 26 19:28:03 2018 cycles contain 16931330 unique relations
  131. Wed Dec 26 19:35:08 2018 read 16931330 relations
  132. Wed Dec 26 19:35:36 2018 using 20 quadratic characters above 4294917295
  133. Wed Dec 26 19:37:00 2018 building initial matrix
  134. Wed Dec 26 19:40:16 2018 memory use: 2197.7 MB
  135. Wed Dec 26 19:40:26 2018 read 5394411 cycles
  136. Wed Dec 26 19:40:27 2018 matrix is 5394233 x 5394411 (2342.8 MB) with weight 670398454 (124.28/col)
  137. Wed Dec 26 19:40:27 2018 sparse part has weight 554817818 (102.85/col)
  138. Wed Dec 26 19:41:26 2018 filtering completed in 2 passes
  139. Wed Dec 26 19:41:27 2018 matrix is 5394160 x 5394338 (2342.8 MB) with weight 670395555 (124.28/col)
  140. Wed Dec 26 19:41:27 2018 sparse part has weight 554816432 (102.85/col)
  141. Wed Dec 26 19:41:49 2018 matrix starts at (0, 0)
  142. Wed Dec 26 19:41:49 2018 matrix is 5394160 x 5394338 (2342.8 MB) with weight 670395555 (124.28/col)
  143. Wed Dec 26 19:41:49 2018 sparse part has weight 554816432 (102.85/col)
  144. Wed Dec 26 19:41:49 2018 saving the first 48 matrix rows for later
  145. Wed Dec 26 19:41:50 2018 matrix includes 64 packed rows
  146. Wed Dec 26 19:41:51 2018 matrix is 5394112 x 5394338 (2245.9 MB) with weight 573631148 (106.34/col)
  147. Wed Dec 26 19:41:51 2018 sparse part has weight 534793979 (99.14/col)
  148. Wed Dec 26 19:41:51 2018 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  149. Wed Dec 26 19:42:07 2018 commencing Lanczos iteration (2 threads)
  150. Wed Dec 26 19:42:07 2018 memory use: 2143.8 MB
  151. Wed Dec 26 19:42:59 2018 linear algebra at 0.0%, ETA 49h28m
  152. Wed Dec 26 19:43:15 2018 checkpointing every 120000 dimensions
  153. Fri Dec 28 21:23:08 2018 lanczos halted after 85305 iterations (dim = 5394110)
  154. Fri Dec 28 21:23:17 2018 recovered 36 nontrivial dependencies
  155. Fri Dec 28 21:23:17 2018 BLanczosTime: 179727
  156. Fri Dec 28 21:23:17 2018
  157. Fri Dec 28 21:23:17 2018 commencing square root phase
  158. Fri Dec 28 21:23:17 2018 handling dependencies 1 to 64
  159. Fri Dec 28 21:23:17 2018 reading relations for dependency 1
  160. Fri Dec 28 21:23:26 2018 read 2699006 cycles
  161. Fri Dec 28 21:23:33 2018 cycles contain 8465570 unique relations
  162. Fri Dec 28 21:30:18 2018 read 8465570 relations
  163. Fri Dec 28 21:31:08 2018 multiplying 8465570 relations
  164. Fri Dec 28 21:35:25 2018 multiply complete, coefficients have about 240.55 million bits
  165. Fri Dec 28 21:35:26 2018 initial square root is modulo 429049823
  166. Fri Dec 28 21:41:07 2018 GCD is N, no factor found
  167. Fri Dec 28 21:41:07 2018 reading relations for dependency 2
  168. Fri Dec 28 21:41:17 2018 read 2694008 cycles
  169. Fri Dec 28 21:41:24 2018 cycles contain 8460100 unique relations
  170. Fri Dec 28 21:48:23 2018 read 8460100 relations
  171. Fri Dec 28 21:49:14 2018 multiplying 8460100 relations
  172. Fri Dec 28 21:53:28 2018 multiply complete, coefficients have about 240.39 million bits
  173. Fri Dec 28 21:53:29 2018 initial square root is modulo 423447677
  174. Fri Dec 28 21:59:07 2018 sqrtTime: 2150
  175. Fri Dec 28 21:59:07 2018 p90 factor: 112350294221216970341732096866151699725881371501179399754987220121823179866641210285989501
  176. Fri Dec 28 21:59:07 2018 p106 factor: 5769790092990507078207582954674139174112636358768973376458222954858312177531266232576097866518841760029751
  177. Fri Dec 28 21:59:07 2018 elapsed time 51:41:01
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