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  1. Wed Jul 13 08:44:06 2022
  2. Wed Jul 13 08:44:06 2022 Msieve v. 1.54 (SVN Unversioned directory)
  3. Wed Jul 13 08:44:06 2022 random seeds: a23451c5 8bf81755
  4. Wed Jul 13 08:44:06 2022 factoring 8476951408269237052593037226879842137951834573419198427846290201935463169516274178079953251052530713799379943470319990155550448094709597550273188512053547 (154 digits)
  5. Wed Jul 13 08:44:06 2022 no P-1/P+1/ECM available, skipping
  6. Wed Jul 13 08:44:06 2022 commencing number field sieve (154-digit input)
  7. Wed Jul 13 08:44:06 2022 R0: -936626571779202178080308866249
  8. Wed Jul 13 08:44:06 2022 R1: 97275905097943
  9. Wed Jul 13 08:44:06 2022 A0: -364747171148438215217180087270796298740
  10. Wed Jul 13 08:44:06 2022 A1: 219027619868712167739150697035496
  11. Wed Jul 13 08:44:06 2022 A2: -6336055345473638689738719
  12. Wed Jul 13 08:44:06 2022 A3: -5093405369467590156
  13. Wed Jul 13 08:44:06 2022 A4: -23077027316
  14. Wed Jul 13 08:44:06 2022 A5: 11760
  15. Wed Jul 13 08:44:06 2022 skew 10868791.67, size 6.503e-15, alpha -7.296, combined = 3.438e-12 rroots = 5
  16. Wed Jul 13 08:44:06 2022
  17. Wed Jul 13 08:44:06 2022 commencing relation filtering
  18. Wed Jul 13 08:44:06 2022 setting target matrix density to 112.0
  19. Wed Jul 13 08:44:06 2022 estimated available RAM is 15958.5 MB
  20. Wed Jul 13 08:44:06 2022 commencing duplicate removal, pass 1
  21. Wed Jul 13 08:55:12 2022 found 2224511 hash collisions in 50409035 relations
  22. Wed Jul 13 08:55:59 2022 commencing duplicate removal, pass 2
  23. Wed Jul 13 08:56:34 2022 found 1 duplicates and 50409034 unique relations
  24. Wed Jul 13 08:56:34 2022 memory use: 130.6 MB
  25. Wed Jul 13 08:56:34 2022 reading ideals above 720000
  26. Wed Jul 13 08:56:34 2022 commencing singleton removal, initial pass
  27. Wed Jul 13 09:13:41 2022 memory use: 1378.0 MB
  28. Wed Jul 13 09:13:41 2022 reading all ideals from disk
  29. Wed Jul 13 09:13:45 2022 memory use: 1816.1 MB
  30. Wed Jul 13 09:14:13 2022 keeping 47136708 ideals with weight <= 200, target excess is 259086
  31. Wed Jul 13 09:14:45 2022 commencing in-memory singleton removal
  32. Wed Jul 13 09:15:09 2022 begin with 50409034 relations and 47136708 unique ideals
  33. Wed Jul 13 09:20:45 2022 reduce to 33043456 relations and 28058844 ideals in 14 passes
  34. Wed Jul 13 09:20:45 2022 max relations containing the same ideal: 159
  35. Wed Jul 13 09:22:03 2022 removing 4559455 relations and 3559455 ideals in 1000000 cliques
  36. Wed Jul 13 09:22:07 2022 commencing in-memory singleton removal
  37. Wed Jul 13 09:22:19 2022 begin with 28484001 relations and 28058844 unique ideals
  38. Wed Jul 13 09:25:15 2022 reduce to 27964550 relations and 23960634 ideals in 10 passes
  39. Wed Jul 13 09:25:15 2022 max relations containing the same ideal: 139
  40. Wed Jul 13 09:26:22 2022 removing 3649802 relations and 2649802 ideals in 1000000 cliques
  41. Wed Jul 13 09:26:25 2022 commencing in-memory singleton removal
  42. Wed Jul 13 09:26:35 2022 begin with 24314748 relations and 23960634 unique ideals
  43. Wed Jul 13 09:28:17 2022 reduce to 23921649 relations and 20903877 ideals in 8 passes
  44. Wed Jul 13 09:28:17 2022 max relations containing the same ideal: 129
  45. Wed Jul 13 09:28:56 2022 removing 3424521 relations and 2424521 ideals in 1000000 cliques
  46. Wed Jul 13 09:28:59 2022 commencing in-memory singleton removal
  47. Wed Jul 13 09:29:06 2022 begin with 20497128 relations and 20903877 unique ideals
  48. Wed Jul 13 09:30:15 2022 reduce to 20097050 relations and 18064009 ideals in 8 passes
  49. Wed Jul 13 09:30:15 2022 max relations containing the same ideal: 111
  50. Wed Jul 13 09:30:48 2022 removing 3353355 relations and 2353355 ideals in 1000000 cliques
  51. Wed Jul 13 09:30:51 2022 commencing in-memory singleton removal
  52. Wed Jul 13 09:30:56 2022 begin with 16743695 relations and 18064009 unique ideals
  53. Wed Jul 13 09:31:52 2022 reduce to 16286762 relations and 15233228 ideals in 8 passes
  54. Wed Jul 13 09:31:52 2022 max relations containing the same ideal: 99
  55. Wed Jul 13 09:32:19 2022 removing 2701141 relations and 1948147 ideals in 752994 cliques
  56. Wed Jul 13 09:32:21 2022 commencing in-memory singleton removal
  57. Wed Jul 13 09:32:26 2022 begin with 13585621 relations and 15233228 unique ideals
  58. Wed Jul 13 09:33:16 2022 reduce to 13219193 relations and 12903433 ideals in 9 passes
  59. Wed Jul 13 09:33:16 2022 max relations containing the same ideal: 85
  60. Wed Jul 13 09:33:38 2022 removing 117251 relations and 102031 ideals in 15220 cliques
  61. Wed Jul 13 09:33:40 2022 commencing in-memory singleton removal
  62. Wed Jul 13 09:33:44 2022 begin with 13101942 relations and 12903433 unique ideals
  63. Wed Jul 13 09:34:17 2022 reduce to 13101274 relations and 12800733 ideals in 6 passes
  64. Wed Jul 13 09:34:17 2022 max relations containing the same ideal: 84
  65. Wed Jul 13 09:34:23 2022 relations with 0 large ideals: 829
  66. Wed Jul 13 09:34:23 2022 relations with 1 large ideals: 2456
  67. Wed Jul 13 09:34:23 2022 relations with 2 large ideals: 38813
  68. Wed Jul 13 09:34:23 2022 relations with 3 large ideals: 284550
  69. Wed Jul 13 09:34:23 2022 relations with 4 large ideals: 1106798
  70. Wed Jul 13 09:34:23 2022 relations with 5 large ideals: 2549442
  71. Wed Jul 13 09:34:23 2022 relations with 6 large ideals: 3628631
  72. Wed Jul 13 09:34:23 2022 relations with 7+ large ideals: 5489755
  73. Wed Jul 13 09:34:23 2022 commencing 2-way merge
  74. Wed Jul 13 09:34:51 2022 reduce to 8413975 relation sets and 8113434 unique ideals
  75. Wed Jul 13 09:34:51 2022 commencing full merge
  76. Wed Jul 13 09:43:56 2022 memory use: 1023.0 MB
  77. Wed Jul 13 09:43:59 2022 found 3741398 cycles, need 3727634
  78. Wed Jul 13 09:44:02 2022 weight of 3727634 cycles is about 417967736 (112.13/cycle)
  79. Wed Jul 13 09:44:02 2022 distribution of cycle lengths:
  80. Wed Jul 13 09:44:02 2022 1 relations: 243547
  81. Wed Jul 13 09:44:02 2022 2 relations: 264921
  82. Wed Jul 13 09:44:02 2022 3 relations: 280001
  83. Wed Jul 13 09:44:02 2022 4 relations: 279148
  84. Wed Jul 13 09:44:02 2022 5 relations: 280712
  85. Wed Jul 13 09:44:02 2022 6 relations: 271021
  86. Wed Jul 13 09:44:02 2022 7 relations: 262562
  87. Wed Jul 13 09:44:02 2022 8 relations: 246541
  88. Wed Jul 13 09:44:02 2022 9 relations: 230327
  89. Wed Jul 13 09:44:02 2022 10+ relations: 1368854
  90. Wed Jul 13 09:44:02 2022 heaviest cycle: 28 relations
  91. Wed Jul 13 09:44:06 2022 commencing cycle optimization
  92. Wed Jul 13 09:44:36 2022 start with 31358280 relations
  93. Wed Jul 13 09:47:45 2022 pruned 1403785 relations
  94. Wed Jul 13 09:47:45 2022 memory use: 858.5 MB
  95. Wed Jul 13 09:47:45 2022 distribution of cycle lengths:
  96. Wed Jul 13 09:47:45 2022 1 relations: 243547
  97. Wed Jul 13 09:47:45 2022 2 relations: 272236
  98. Wed Jul 13 09:47:45 2022 3 relations: 292664
  99. Wed Jul 13 09:47:45 2022 4 relations: 291214
  100. Wed Jul 13 09:47:45 2022 5 relations: 294273
  101. Wed Jul 13 09:47:45 2022 6 relations: 283550
  102. Wed Jul 13 09:47:45 2022 7 relations: 275651
  103. Wed Jul 13 09:47:45 2022 8 relations: 257141
  104. Wed Jul 13 09:47:45 2022 9 relations: 239224
  105. Wed Jul 13 09:47:45 2022 10+ relations: 1278134
  106. Wed Jul 13 09:47:45 2022 heaviest cycle: 28 relations
  107. Wed Jul 13 09:48:06 2022 RelProcTime: 3840
  108. Wed Jul 13 09:48:10 2022
  109. Wed Jul 13 09:48:10 2022 commencing linear algebra
  110. Wed Jul 13 09:48:10 2022 using VBITS=256
  111. Wed Jul 13 09:48:11 2022 read 3727634 cycles
  112. Wed Jul 13 09:48:37 2022 cycles contain 12910235 unique relations
  113. Wed Jul 13 09:50:41 2022 read 12910235 relations
  114. Wed Jul 13 09:51:35 2022 using 20 quadratic characters above 4294917295
  115. Wed Jul 13 09:52:48 2022 building initial matrix
  116. Wed Jul 13 10:01:40 2022 memory use: 1741.3 MB
  117. Wed Jul 13 10:01:45 2022 read 3727634 cycles
  118. Wed Jul 13 10:01:47 2022 matrix is 3727457 x 3727634 (1652.4 MB) with weight 504494784 (135.34/col)
  119. Wed Jul 13 10:01:47 2022 sparse part has weight 388445306 (104.21/col)
  120. Wed Jul 13 10:04:17 2022 filtering completed in 2 passes
  121. Wed Jul 13 10:04:19 2022 matrix is 3727315 x 3727491 (1652.4 MB) with weight 504487161 (135.34/col)
  122. Wed Jul 13 10:04:19 2022 sparse part has weight 388442543 (104.21/col)
  123. Wed Jul 13 10:04:48 2022 matrix starts at (0, 0)
  124. Wed Jul 13 10:04:50 2022 matrix is 3727315 x 3727491 (1652.4 MB) with weight 504487161 (135.34/col)
  125. Wed Jul 13 10:04:50 2022 sparse part has weight 388442543 (104.21/col)
  126. Wed Jul 13 10:04:50 2022 saving the first 240 matrix rows for later
  127. Wed Jul 13 10:04:52 2022 matrix includes 256 packed rows
  128. Wed Jul 13 10:04:56 2022 matrix is 3727075 x 3727491 (1479.8 MB) with weight 352476730 (94.56/col)
  129. Wed Jul 13 10:04:56 2022 sparse part has weight 328292312 (88.07/col)
  130. Wed Jul 13 10:04:56 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  131. Wed Jul 13 10:04:56 2022 selected card has CUDA arch 7.5
  132. Wed Jul 13 10:06:07 2022 commencing Lanczos iteration
  133. Wed Jul 13 10:06:08 2022 memory use: 3443.1 MB
  134. Wed Jul 13 10:06:43 2022 linear algebra at 0.2%, ETA 4h35m
  135. Wed Jul 13 10:06:45 2022 checkpointing every 800000 dimensions
  136. Wed Jul 13 12:56:51 2022 lanczos halted after 14604 iterations (dim = 3727075)
  137. Wed Jul 13 12:57:38 2022 recovered 30 nontrivial dependencies
  138. Wed Jul 13 12:57:38 2022 BLanczosTime: 11368
  139. Wed Jul 13 12:57:38 2022
  140. Wed Jul 13 12:57:38 2022 commencing square root phase
  141. Wed Jul 13 12:57:38 2022 handling dependencies 1 to 64
  142. Wed Jul 13 12:57:38 2022 reading relations for dependency 1
  143. Wed Jul 13 12:57:39 2022 read 1862690 cycles
  144. Wed Jul 13 12:57:52 2022 cycles contain 6453480 unique relations
  145. Wed Jul 13 12:59:01 2022 read 6453480 relations
  146. Wed Jul 13 13:00:53 2022 multiplying 6453480 relations
  147. Wed Jul 13 13:14:33 2022 multiply complete, coefficients have about 318.35 million bits
  148. Wed Jul 13 13:14:39 2022 initial square root is modulo 515507
  149. Wed Jul 13 13:31:31 2022 sqrtTime: 2033
  150. Wed Jul 13 13:31:31 2022 p67 factor: 9461374145182077330591891178948860417948790193576752746397816788643
  151. Wed Jul 13 13:31:31 2022 p87 factor: 895953513537552237716067392585906423054100975812428340873288482583685768839092355130329
  152. Wed Jul 13 13:31:31 2022 elapsed time 04:47:25
  153.  
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