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C166_1464_2426

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May 5th, 2023
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  1. Fri May 5 10:19:46 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Fri May 5 10:19:46 2023 random seeds: 2b2cba2d 07efe4fd
  3. Fri May 5 10:19:46 2023 Using 7 OpenMP threads
  4. Fri May 5 10:19:46 2023 factoring 1412321542739965282009299817395034439352528093620378086219251823478777790106599862423394113221122011749384680132976794099015515584917141527165420339119565006598747593 (166 digits)
  5. Fri May 5 10:19:46 2023 no P-1/P+1/ECM available, skipping
  6. Fri May 5 10:19:46 2023 commencing number field sieve (166-digit input)
  7. Fri May 5 10:19:46 2023 R0: -89313759804578757114168043192375
  8. Fri May 5 10:19:46 2023 R1: 87496286239113486380609
  9. Fri May 5 10:19:46 2023 A0: 96024247609409734834098630682360672764
  10. Fri May 5 10:19:46 2023 A1: 1031923267053219382762012603633096
  11. Fri May 5 10:19:46 2023 A2: -13074745637157756559834921
  12. Fri May 5 10:19:46 2023 A3: -62088341431182207369
  13. Fri May 5 10:19:46 2023 A4: -1921968248250
  14. Fri May 5 10:19:46 2023 A5: 498960
  15. Fri May 5 10:19:46 2023 skew 1.00, size 4.775e-16, alpha -6.573, combined = 5.542e-15 rroots = 5
  16. Fri May 5 10:19:46 2023
  17. Fri May 5 10:19:46 2023 commencing relation filtering
  18. Fri May 5 10:19:46 2023 setting target matrix density to 110.0
  19. Fri May 5 10:19:46 2023 estimated available RAM is 64238.6 MB
  20. Fri May 5 10:19:46 2023 commencing duplicate removal, pass 1
  21. Fri May 5 10:21:46 2023 found 2401179 hash collisions in 73448734 relations
  22. Fri May 5 10:22:06 2023 added 122106 free relations
  23. Fri May 5 10:22:06 2023 commencing duplicate removal, pass 2
  24. Fri May 5 10:22:25 2023 found 0 duplicates and 73570840 unique relations
  25. Fri May 5 10:22:25 2023 memory use: 202.6 MB
  26. Fri May 5 10:22:25 2023 reading ideals above 720000
  27. Fri May 5 10:22:25 2023 commencing singleton removal, initial pass
  28. Fri May 5 10:26:21 2023 memory use: 1506.0 MB
  29. Fri May 5 10:26:21 2023 reading all ideals from disk
  30. Fri May 5 10:26:22 2023 memory use: 3365.1 MB
  31. Fri May 5 10:26:28 2023 keeping 66650812 ideals with weight <= 200, target excess is 374139
  32. Fri May 5 10:26:37 2023 commencing in-memory singleton removal
  33. Fri May 5 10:26:40 2023 begin with 73570840 relations and 66650812 unique ideals
  34. Fri May 5 10:26:58 2023 reduce to 60707661 relations and 53308593 ideals in 12 passes
  35. Fri May 5 10:26:58 2023 max relations containing the same ideal: 185
  36. Fri May 5 10:27:19 2023 removing 5778699 relations and 4778699 ideals in 1000000 cliques
  37. Fri May 5 10:27:22 2023 commencing in-memory singleton removal
  38. Fri May 5 10:27:23 2023 begin with 54928962 relations and 53308593 unique ideals
  39. Fri May 5 10:27:34 2023 reduce to 54472301 relations and 48063583 ideals in 9 passes
  40. Fri May 5 10:27:34 2023 max relations containing the same ideal: 176
  41. Fri May 5 10:27:54 2023 removing 4486704 relations and 3486704 ideals in 1000000 cliques
  42. Fri May 5 10:27:56 2023 commencing in-memory singleton removal
  43. Fri May 5 10:27:57 2023 begin with 49985597 relations and 48063583 unique ideals
  44. Fri May 5 10:28:06 2023 reduce to 49666688 relations and 44252031 ideals in 8 passes
  45. Fri May 5 10:28:06 2023 max relations containing the same ideal: 163
  46. Fri May 5 10:28:24 2023 removing 4123730 relations and 3123730 ideals in 1000000 cliques
  47. Fri May 5 10:28:26 2023 commencing in-memory singleton removal
  48. Fri May 5 10:28:28 2023 begin with 45542958 relations and 44252031 unique ideals
  49. Fri May 5 10:28:35 2023 reduce to 45246638 relations and 40826366 ideals in 7 passes
  50. Fri May 5 10:28:35 2023 max relations containing the same ideal: 156
  51. Fri May 5 10:28:51 2023 removing 3961108 relations and 2961108 ideals in 1000000 cliques
  52. Fri May 5 10:28:53 2023 commencing in-memory singleton removal
  53. Fri May 5 10:28:54 2023 begin with 41285530 relations and 40826366 unique ideals
  54. Fri May 5 10:29:01 2023 reduce to 40986229 relations and 37559889 ideals in 8 passes
  55. Fri May 5 10:29:01 2023 max relations containing the same ideal: 144
  56. Fri May 5 10:29:16 2023 removing 3889444 relations and 2889444 ideals in 1000000 cliques
  57. Fri May 5 10:29:17 2023 commencing in-memory singleton removal
  58. Fri May 5 10:29:18 2023 begin with 37096785 relations and 37559889 unique ideals
  59. Fri May 5 10:29:24 2023 reduce to 36777865 relations and 34344647 ideals in 7 passes
  60. Fri May 5 10:29:24 2023 max relations containing the same ideal: 132
  61. Fri May 5 10:29:39 2023 removing 3869296 relations and 2869296 ideals in 1000000 cliques
  62. Fri May 5 10:29:40 2023 commencing in-memory singleton removal
  63. Fri May 5 10:29:41 2023 begin with 32908569 relations and 34344647 unique ideals
  64. Fri May 5 10:29:48 2023 reduce to 32554186 relations and 31112342 ideals in 9 passes
  65. Fri May 5 10:29:48 2023 max relations containing the same ideal: 123
  66. Fri May 5 10:30:01 2023 removing 3893924 relations and 2893924 ideals in 1000000 cliques
  67. Fri May 5 10:30:02 2023 commencing in-memory singleton removal
  68. Fri May 5 10:30:03 2023 begin with 28660262 relations and 31112342 unique ideals
  69. Fri May 5 10:30:08 2023 reduce to 28250730 relations and 27797992 ideals in 7 passes
  70. Fri May 5 10:30:08 2023 max relations containing the same ideal: 112
  71. Fri May 5 10:30:19 2023 removing 152207 relations and 133471 ideals in 18736 cliques
  72. Fri May 5 10:30:20 2023 commencing in-memory singleton removal
  73. Fri May 5 10:30:21 2023 begin with 28098523 relations and 27797992 unique ideals
  74. Fri May 5 10:30:24 2023 reduce to 28097969 relations and 27663967 ideals in 5 passes
  75. Fri May 5 10:30:24 2023 max relations containing the same ideal: 112
  76. Fri May 5 10:30:30 2023 relations with 0 large ideals: 1292
  77. Fri May 5 10:30:30 2023 relations with 1 large ideals: 2895
  78. Fri May 5 10:30:30 2023 relations with 2 large ideals: 49647
  79. Fri May 5 10:30:30 2023 relations with 3 large ideals: 395368
  80. Fri May 5 10:30:30 2023 relations with 4 large ideals: 1707250
  81. Fri May 5 10:30:30 2023 relations with 5 large ideals: 4424318
  82. Fri May 5 10:30:30 2023 relations with 6 large ideals: 7238969
  83. Fri May 5 10:30:30 2023 relations with 7+ large ideals: 14278230
  84. Fri May 5 10:30:30 2023 commencing 2-way merge
  85. Fri May 5 10:30:45 2023 reduce to 18147327 relation sets and 17713325 unique ideals
  86. Fri May 5 10:30:45 2023 commencing full merge
  87. Fri May 5 10:37:31 2023 memory use: 2146.7 MB
  88. Fri May 5 10:37:33 2023 found 8134815 cycles, need 8119525
  89. Fri May 5 10:37:35 2023 weight of 8119525 cycles is about 893360775 (110.03/cycle)
  90. Fri May 5 10:37:35 2023 distribution of cycle lengths:
  91. Fri May 5 10:37:35 2023 1 relations: 580262
  92. Fri May 5 10:37:35 2023 2 relations: 633423
  93. Fri May 5 10:37:35 2023 3 relations: 662309
  94. Fri May 5 10:37:35 2023 4 relations: 641714
  95. Fri May 5 10:37:35 2023 5 relations: 624331
  96. Fri May 5 10:37:35 2023 6 relations: 598787
  97. Fri May 5 10:37:35 2023 7 relations: 561907
  98. Fri May 5 10:37:35 2023 8 relations: 528286
  99. Fri May 5 10:37:35 2023 9 relations: 484132
  100. Fri May 5 10:37:35 2023 10+ relations: 2804374
  101. Fri May 5 10:37:35 2023 heaviest cycle: 28 relations
  102. Fri May 5 10:37:38 2023 commencing cycle optimization
  103. Fri May 5 10:37:57 2023 start with 65759235 relations
  104. Fri May 5 10:40:13 2023 pruned 2708503 relations
  105. Fri May 5 10:40:14 2023 memory use: 1831.5 MB
  106. Fri May 5 10:40:14 2023 distribution of cycle lengths:
  107. Fri May 5 10:40:14 2023 1 relations: 580262
  108. Fri May 5 10:40:14 2023 2 relations: 650868
  109. Fri May 5 10:40:14 2023 3 relations: 691511
  110. Fri May 5 10:40:14 2023 4 relations: 667128
  111. Fri May 5 10:40:14 2023 5 relations: 652609
  112. Fri May 5 10:40:14 2023 6 relations: 621796
  113. Fri May 5 10:40:14 2023 7 relations: 584978
  114. Fri May 5 10:40:14 2023 8 relations: 545991
  115. Fri May 5 10:40:14 2023 9 relations: 498400
  116. Fri May 5 10:40:14 2023 10+ relations: 2625982
  117. Fri May 5 10:40:14 2023 heaviest cycle: 28 relations
  118. Fri May 5 10:40:28 2023 RelProcTime: 1242
  119. Fri May 5 10:40:28 2023
  120. Fri May 5 10:40:28 2023 commencing linear algebra
  121. Fri May 5 10:40:28 2023 using VBITS=256
  122. Fri May 5 10:40:29 2023 read 8119525 cycles
  123. Fri May 5 10:40:47 2023 cycles contain 27811249 unique relations
  124. Fri May 5 10:41:18 2023 read 27811249 relations
  125. Fri May 5 10:41:29 2023 using 20 quadratic characters above 4294917295
  126. Fri May 5 10:41:42 2023 building initial matrix
  127. Fri May 5 10:47:47 2023 memory use: 3793.0 MB
  128. Fri May 5 10:47:51 2023 read 8119525 cycles
  129. Fri May 5 10:47:52 2023 matrix is 8119348 x 8119525 (3552.7 MB) with weight 1091380919 (134.41/col)
  130. Fri May 5 10:47:52 2023 sparse part has weight 833880783 (102.70/col)
  131. Fri May 5 10:49:33 2023 filtering completed in 2 passes
  132. Fri May 5 10:49:35 2023 matrix is 8119087 x 8119264 (3552.7 MB) with weight 1091368598 (134.42/col)
  133. Fri May 5 10:49:35 2023 sparse part has weight 833877423 (102.70/col)
  134. Fri May 5 10:49:58 2023 matrix starts at (0, 0)
  135. Fri May 5 10:49:59 2023 matrix is 8119087 x 8119264 (3552.7 MB) with weight 1091368598 (134.42/col)
  136. Fri May 5 10:49:59 2023 sparse part has weight 833877423 (102.70/col)
  137. Fri May 5 10:49:59 2023 saving the first 240 matrix rows for later
  138. Fri May 5 10:50:01 2023 matrix includes 256 packed rows
  139. Fri May 5 10:50:04 2023 matrix is 8118847 x 8119264 (3220.8 MB) with weight 762011187 (93.85/col)
  140. Fri May 5 10:50:04 2023 sparse part has weight 714403738 (87.99/col)
  141. Fri May 5 10:50:04 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  142. Fri May 5 10:50:04 2023 selected card has CUDA arch 8.6
  143. Fri May 5 10:50:51 2023 commencing Lanczos iteration
  144. Fri May 5 10:50:52 2023 memory use: 7494.7 MB
  145. Fri May 5 10:51:15 2023 linear algebra at 0.4%, ETA 1h41m
  146. Fri May 5 10:51:49 2023 checking every 80000 dimensions, checkpointing every 4880000 dimensions
  147. Fri May 5 12:30:50 2023 lanczos halted after 31809 iterations (dim = 8118845)
  148. Fri May 5 12:31:36 2023 recovered 28 nontrivial dependencies
  149. Fri May 5 12:31:37 2023 BLanczosTime: 6669
  150. Fri May 5 12:31:37 2023
  151. Fri May 5 12:31:37 2023 commencing square root phase
  152. Fri May 5 12:31:37 2023 handling dependencies 1 to 64
  153. Fri May 5 12:31:37 2023 reading relations for dependency 1
  154. Fri May 5 12:31:40 2023 read 4059591 cycles
  155. Fri May 5 12:31:48 2023 cycles contain 13902254 unique relations
  156. Fri May 5 12:32:11 2023 read 13902254 relations
  157. Fri May 5 12:33:15 2023 multiplying 13902254 relations
  158. Fri May 5 12:40:34 2023 multiply complete, coefficients have about 764.68 million bits
  159. Fri May 5 12:40:36 2023 initial square root is modulo 7249717
  160. Fri May 5 12:45:49 2023 sqrtTime: 852
  161. Fri May 5 12:45:49 2023 p70 factor: 1422742846353115529173718265114824568432840971583810133440406762387193
  162. Fri May 5 12:45:49 2023 p96 factor: 992675202240613658072456564145961483518640358845788923063854300118132440419493448469315876542801
  163. Fri May 5 12:45:49 2023 elapsed time 02:26:03
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