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C160_1632_1527

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May 1st, 2023
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  1. Mon May 1 11:48:45 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Mon May 1 11:48:45 2023 random seeds: 9279d8e7 0d879e07
  3. Mon May 1 11:48:45 2023 Using 8 OpenMP threads
  4. Mon May 1 11:48:45 2023 factoring 2984559675511739697610179392086706001484270138992438652085572543167186727582615856035100398250327487831436668769544159228131787016308695276174558352617911475601 (160 digits)
  5. Mon May 1 11:48:46 2023 no P-1/P+1/ECM available, skipping
  6. Mon May 1 11:48:46 2023 commencing number field sieve (160-digit input)
  7. Mon May 1 11:48:46 2023 R0: -7567400338118547804979696177289
  8. Mon May 1 11:48:46 2023 R1: 19855059090804851665777
  9. Mon May 1 11:48:46 2023 A0: 331960459159491192525556076282833932
  10. Mon May 1 11:48:46 2023 A1: 7427449477709041697766715923360
  11. Mon May 1 11:48:46 2023 A2: -101139595179226273907975
  12. Mon May 1 11:48:46 2023 A3: -2174868608450575106
  13. Mon May 1 11:48:46 2023 A4: -98316957406
  14. Mon May 1 11:48:46 2023 A5: 120540
  15. Mon May 1 11:48:46 2023 skew 1.00, size 2.176e-15, alpha -5.427, combined = 1.858e-14 rroots = 3
  16. Mon May 1 11:48:46 2023
  17. Mon May 1 11:48:46 2023 commencing relation filtering
  18. Mon May 1 11:48:46 2023 estimated available RAM is 64238.6 MB
  19. Mon May 1 11:48:46 2023 commencing duplicate removal, pass 1
  20. Mon May 1 11:50:45 2023 found 2490349 hash collisions in 74845319 relations
  21. Mon May 1 11:51:08 2023 added 122463 free relations
  22. Mon May 1 11:51:08 2023 commencing duplicate removal, pass 2
  23. Mon May 1 11:51:27 2023 found 0 duplicates and 74967782 unique relations
  24. Mon May 1 11:51:27 2023 memory use: 202.6 MB
  25. Mon May 1 11:51:27 2023 reading ideals above 720000
  26. Mon May 1 11:51:28 2023 commencing singleton removal, initial pass
  27. Mon May 1 11:55:13 2023 memory use: 1506.0 MB
  28. Mon May 1 11:55:13 2023 reading all ideals from disk
  29. Mon May 1 11:55:14 2023 memory use: 3316.4 MB
  30. Mon May 1 11:55:20 2023 keeping 57865680 ideals with weight <= 200, target excess is 402754
  31. Mon May 1 11:55:30 2023 commencing in-memory singleton removal
  32. Mon May 1 11:55:32 2023 begin with 74967782 relations and 57865680 unique ideals
  33. Mon May 1 11:55:45 2023 reduce to 64506950 relations and 47166490 ideals in 10 passes
  34. Mon May 1 11:55:45 2023 max relations containing the same ideal: 188
  35. Mon May 1 11:56:06 2023 removing 7298922 relations and 5298922 ideals in 2000000 cliques
  36. Mon May 1 11:56:09 2023 commencing in-memory singleton removal
  37. Mon May 1 11:56:10 2023 begin with 57208028 relations and 47166490 unique ideals
  38. Mon May 1 11:56:19 2023 reduce to 56596656 relations and 41233469 ideals in 8 passes
  39. Mon May 1 11:56:19 2023 max relations containing the same ideal: 175
  40. Mon May 1 11:56:37 2023 removing 5967467 relations and 3967467 ideals in 2000000 cliques
  41. Mon May 1 11:56:39 2023 commencing in-memory singleton removal
  42. Mon May 1 11:56:41 2023 begin with 50629189 relations and 41233469 unique ideals
  43. Mon May 1 11:56:47 2023 reduce to 50199815 relations and 36821972 ideals in 7 passes
  44. Mon May 1 11:56:47 2023 max relations containing the same ideal: 162
  45. Mon May 1 11:57:04 2023 removing 5610729 relations and 3610729 ideals in 2000000 cliques
  46. Mon May 1 11:57:06 2023 commencing in-memory singleton removal
  47. Mon May 1 11:57:07 2023 begin with 44589086 relations and 36821972 unique ideals
  48. Mon May 1 11:57:12 2023 reduce to 44198864 relations and 32807315 ideals in 6 passes
  49. Mon May 1 11:57:12 2023 max relations containing the same ideal: 148
  50. Mon May 1 11:57:27 2023 removing 5426188 relations and 3426188 ideals in 2000000 cliques
  51. Mon May 1 11:57:29 2023 commencing in-memory singleton removal
  52. Mon May 1 11:57:31 2023 begin with 38772676 relations and 32807315 unique ideals
  53. Mon May 1 11:57:36 2023 reduce to 38389300 relations and 28982725 ideals in 7 passes
  54. Mon May 1 11:57:36 2023 max relations containing the same ideal: 137
  55. Mon May 1 11:57:48 2023 removing 5313544 relations and 3313544 ideals in 2000000 cliques
  56. Mon May 1 11:57:50 2023 commencing in-memory singleton removal
  57. Mon May 1 11:57:51 2023 begin with 33075756 relations and 28982725 unique ideals
  58. Mon May 1 11:57:55 2023 reduce to 32676000 relations and 25252080 ideals in 6 passes
  59. Mon May 1 11:57:55 2023 max relations containing the same ideal: 122
  60. Mon May 1 11:58:06 2023 removing 5240087 relations and 3240087 ideals in 2000000 cliques
  61. Mon May 1 11:58:08 2023 commencing in-memory singleton removal
  62. Mon May 1 11:58:08 2023 begin with 27435913 relations and 25252080 unique ideals
  63. Mon May 1 11:58:11 2023 reduce to 26997441 relations and 21551300 ideals in 6 passes
  64. Mon May 1 11:58:11 2023 max relations containing the same ideal: 108
  65. Mon May 1 11:58:21 2023 removing 5189518 relations and 3189518 ideals in 2000000 cliques
  66. Mon May 1 11:58:22 2023 commencing in-memory singleton removal
  67. Mon May 1 11:58:23 2023 begin with 21807923 relations and 21551300 unique ideals
  68. Mon May 1 11:58:26 2023 reduce to 21300773 relations and 17824355 ideals in 7 passes
  69. Mon May 1 11:58:26 2023 max relations containing the same ideal: 91
  70. Mon May 1 11:58:33 2023 removing 5159679 relations and 3159679 ideals in 2000000 cliques
  71. Mon May 1 11:58:35 2023 commencing in-memory singleton removal
  72. Mon May 1 11:58:35 2023 begin with 16141094 relations and 17824355 unique ideals
  73. Mon May 1 11:58:38 2023 reduce to 15511913 relations and 13988013 ideals in 8 passes
  74. Mon May 1 11:58:38 2023 max relations containing the same ideal: 76
  75. Mon May 1 11:58:43 2023 removing 2991216 relations and 1934511 ideals in 1056705 cliques
  76. Mon May 1 11:58:44 2023 commencing in-memory singleton removal
  77. Mon May 1 11:58:45 2023 begin with 12520697 relations and 13988013 unique ideals
  78. Mon May 1 11:58:46 2023 reduce to 12121970 relations and 11630568 ideals in 7 passes
  79. Mon May 1 11:58:46 2023 max relations containing the same ideal: 63
  80. Mon May 1 11:58:51 2023 removing 134182 relations and 109975 ideals in 24207 cliques
  81. Mon May 1 11:58:52 2023 commencing in-memory singleton removal
  82. Mon May 1 11:58:52 2023 begin with 11987788 relations and 11630568 unique ideals
  83. Mon May 1 11:58:53 2023 reduce to 11986612 relations and 11519413 ideals in 6 passes
  84. Mon May 1 11:58:53 2023 max relations containing the same ideal: 63
  85. Mon May 1 11:58:55 2023 relations with 0 large ideals: 1359
  86. Mon May 1 11:58:55 2023 relations with 1 large ideals: 8286
  87. Mon May 1 11:58:55 2023 relations with 2 large ideals: 111701
  88. Mon May 1 11:58:55 2023 relations with 3 large ideals: 624357
  89. Mon May 1 11:58:55 2023 relations with 4 large ideals: 1801454
  90. Mon May 1 11:58:55 2023 relations with 5 large ideals: 3043322
  91. Mon May 1 11:58:55 2023 relations with 6 large ideals: 3192227
  92. Mon May 1 11:58:55 2023 relations with 7+ large ideals: 3203906
  93. Mon May 1 11:58:55 2023 commencing 2-way merge
  94. Mon May 1 11:59:01 2023 reduce to 8135639 relation sets and 7668440 unique ideals
  95. Mon May 1 11:59:01 2023 commencing full merge
  96. Mon May 1 12:01:03 2023 memory use: 927.3 MB
  97. Mon May 1 12:01:04 2023 found 4035188 cycles, need 3972640
  98. Mon May 1 12:01:05 2023 weight of 3972640 cycles is about 357682214 (90.04/cycle)
  99. Mon May 1 12:01:05 2023 distribution of cycle lengths:
  100. Mon May 1 12:01:05 2023 1 relations: 203586
  101. Mon May 1 12:01:05 2023 2 relations: 324542
  102. Mon May 1 12:01:05 2023 3 relations: 399159
  103. Mon May 1 12:01:05 2023 4 relations: 425635
  104. Mon May 1 12:01:05 2023 5 relations: 435004
  105. Mon May 1 12:01:05 2023 6 relations: 406431
  106. Mon May 1 12:01:05 2023 7 relations: 369527
  107. Mon May 1 12:01:05 2023 8 relations: 317297
  108. Mon May 1 12:01:05 2023 9 relations: 262891
  109. Mon May 1 12:01:05 2023 10+ relations: 828568
  110. Mon May 1 12:01:05 2023 heaviest cycle: 21 relations
  111. Mon May 1 12:01:06 2023 commencing cycle optimization
  112. Mon May 1 12:01:14 2023 start with 26082080 relations
  113. Mon May 1 12:01:55 2023 pruned 1056047 relations
  114. Mon May 1 12:01:55 2023 memory use: 767.8 MB
  115. Mon May 1 12:01:55 2023 distribution of cycle lengths:
  116. Mon May 1 12:01:55 2023 1 relations: 203586
  117. Mon May 1 12:01:55 2023 2 relations: 333919
  118. Mon May 1 12:01:55 2023 3 relations: 418404
  119. Mon May 1 12:01:55 2023 4 relations: 445969
  120. Mon May 1 12:01:55 2023 5 relations: 458393
  121. Mon May 1 12:01:55 2023 6 relations: 425006
  122. Mon May 1 12:01:55 2023 7 relations: 383705
  123. Mon May 1 12:01:55 2023 8 relations: 323372
  124. Mon May 1 12:01:55 2023 9 relations: 262519
  125. Mon May 1 12:01:55 2023 10+ relations: 717767
  126. Mon May 1 12:01:55 2023 heaviest cycle: 20 relations
  127. Mon May 1 12:02:00 2023 RelProcTime: 794
  128. Mon May 1 12:02:00 2023
  129. Mon May 1 12:02:00 2023 commencing linear algebra
  130. Mon May 1 12:02:00 2023 using VBITS=256
  131. Mon May 1 12:02:01 2023 read 3972640 cycles
  132. Mon May 1 12:02:07 2023 cycles contain 11765366 unique relations
  133. Mon May 1 12:02:22 2023 read 11765366 relations
  134. Mon May 1 12:02:25 2023 using 20 quadratic characters above 4294917295
  135. Mon May 1 12:02:31 2023 building initial matrix
  136. Mon May 1 12:04:42 2023 memory use: 1610.2 MB
  137. Mon May 1 12:04:44 2023 read 3972640 cycles
  138. Mon May 1 12:04:44 2023 matrix is 3972462 x 3972640 (1469.3 MB) with weight 450512391 (113.40/col)
  139. Mon May 1 12:04:44 2023 sparse part has weight 337502801 (84.96/col)
  140. Mon May 1 12:05:21 2023 filtering completed in 2 passes
  141. Mon May 1 12:05:22 2023 matrix is 3971948 x 3972125 (1469.3 MB) with weight 450490675 (113.41/col)
  142. Mon May 1 12:05:22 2023 sparse part has weight 337495798 (84.97/col)
  143. Mon May 1 12:05:31 2023 matrix starts at (0, 0)
  144. Mon May 1 12:05:31 2023 matrix is 3971948 x 3972125 (1469.3 MB) with weight 450490675 (113.41/col)
  145. Mon May 1 12:05:31 2023 sparse part has weight 337495798 (84.97/col)
  146. Mon May 1 12:05:31 2023 saving the first 240 matrix rows for later
  147. Mon May 1 12:05:32 2023 matrix includes 256 packed rows
  148. Mon May 1 12:05:34 2023 matrix is 3971708 x 3972125 (1332.0 MB) with weight 306236661 (77.10/col)
  149. Mon May 1 12:05:34 2023 sparse part has weight 285620084 (71.91/col)
  150. Mon May 1 12:05:34 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  151. Mon May 1 12:05:34 2023 selected card has CUDA arch 8.6
  152. Mon May 1 12:05:50 2023 commencing Lanczos iteration
  153. Mon May 1 12:05:50 2023 memory use: 3179.2 MB
  154. Mon May 1 12:05:59 2023 linear algebra at 0.8%, ETA 0h19m
  155. Mon May 1 12:06:12 2023 checking every 200000 dimensions, checkpointing every 12600000 dimensions
  156. Mon May 1 12:25:11 2023 lanczos halted after 15562 iterations (dim = 3971707)
  157. Mon May 1 12:25:32 2023 recovered 30 nontrivial dependencies
  158. Mon May 1 12:25:32 2023 BLanczosTime: 1412
  159. Mon May 1 12:25:32 2023
  160. Mon May 1 12:25:32 2023 commencing square root phase
  161. Mon May 1 12:25:32 2023 reading relations for dependency 1
  162. Mon May 1 12:25:33 2023 read 1986146 cycles
  163. Mon May 1 12:25:36 2023 cycles contain 5882758 unique relations
  164. Mon May 1 12:25:46 2023 read 5882758 relations
  165. Mon May 1 12:26:12 2023 multiplying 5882758 relations
  166. Mon May 1 12:28:47 2023 multiply complete, coefficients have about 304.90 million bits
  167. Mon May 1 12:28:47 2023 initial square root is modulo 295759
  168. Mon May 1 12:30:40 2023 GCD is 1, no factor found
  169. Mon May 1 12:30:40 2023 reading relations for dependency 2
  170. Mon May 1 12:30:41 2023 read 1985496 cycles
  171. Mon May 1 12:30:44 2023 cycles contain 5881550 unique relations
  172. Mon May 1 12:30:54 2023 read 5881550 relations
  173. Mon May 1 12:31:22 2023 multiplying 5881550 relations
  174. Mon May 1 12:33:53 2023 multiply complete, coefficients have about 304.83 million bits
  175. Mon May 1 12:33:54 2023 initial square root is modulo 294953
  176. Mon May 1 12:35:46 2023 sqrtTime: 614
  177. Mon May 1 12:35:46 2023 p77 factor: 20682038657906904678744592673714082146591798193472221877517420362867190068579
  178. Mon May 1 12:35:46 2023 p84 factor: 144306841548752219210918836957158020153465026998640542303427864639811356512245079419
  179. Mon May 1 12:35:46 2023 elapsed time 00:47:01
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