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Apr 19th, 2023
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  1. Wed Apr 19 12:05:04 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Wed Apr 19 12:05:04 2023 random seeds: a0da59f1 1d74c4ad
  3. Wed Apr 19 12:05:04 2023 Using 16 OpenMP threads
  4. Wed Apr 19 12:05:04 2023 factoring 3287327037916935863647597734323585349452002673957957515525105088121247326779966452461265376895477602519407530567107203843554698322169887848852672209128643474450925594490615251814084508779096853560373482990458395960596437832713765553014341 (238 digits)
  5. Wed Apr 19 12:05:05 2023 no P-1/P+1/ECM available, skipping
  6. Wed Apr 19 12:05:05 2023 commencing number field sieve (238-digit input)
  7. Wed Apr 19 12:05:05 2023 R0: 3856030721241783658322324308231996655930
  8. Wed Apr 19 12:05:05 2023 R1: -62096946150690725077
  9. Wed Apr 19 12:05:05 2023 A0: -1
  10. Wed Apr 19 12:05:05 2023 A1: 3
  11. Wed Apr 19 12:05:05 2023 A2: 6
  12. Wed Apr 19 12:05:05 2023 A3: -4
  13. Wed Apr 19 12:05:05 2023 A4: -5
  14. Wed Apr 19 12:05:05 2023 A5: 1
  15. Wed Apr 19 12:05:05 2023 A6: 1
  16. Wed Apr 19 12:05:05 2023 skew 1.00, size 1.103e-11, alpha 3.126, combined = 6.699e-13 rroots = 6
  17. Wed Apr 19 12:05:05 2023
  18. Wed Apr 19 12:05:05 2023 commencing relation filtering
  19. Wed Apr 19 12:05:05 2023 setting target matrix density to 110.0
  20. Wed Apr 19 12:05:05 2023 estimated available RAM is 64238.6 MB
  21. Wed Apr 19 12:05:05 2023 commencing duplicate removal, pass 1
  22. Wed Apr 19 12:06:45 2023 skipped 27 relations with b > 2^32
  23. Wed Apr 19 12:06:45 2023 found 4662633 hash collisions in 144692923 relations
  24. Wed Apr 19 12:06:49 2023 added 2438358 free relations
  25. Wed Apr 19 12:06:49 2023 commencing duplicate removal, pass 2
  26. Wed Apr 19 12:07:12 2023 found 0 duplicates and 147131281 unique relations
  27. Wed Apr 19 12:07:12 2023 memory use: 405.2 MB
  28. Wed Apr 19 12:07:12 2023 reading ideals above 720000
  29. Wed Apr 19 12:07:12 2023 commencing singleton removal, initial pass
  30. Wed Apr 19 12:11:29 2023 memory use: 3012.0 MB
  31. Wed Apr 19 12:11:29 2023 reading all ideals from disk
  32. Wed Apr 19 12:11:30 2023 memory use: 6814.2 MB
  33. Wed Apr 19 12:11:35 2023 keeping 122813943 ideals with weight <= 200, target excess is 727001
  34. Wed Apr 19 12:11:43 2023 commencing in-memory singleton removal
  35. Wed Apr 19 12:11:45 2023 begin with 147131281 relations and 122813943 unique ideals
  36. Wed Apr 19 12:11:58 2023 reduce to 109893031 relations and 83395806 ideals in 11 passes
  37. Wed Apr 19 12:11:58 2023 max relations containing the same ideal: 175
  38. Wed Apr 19 12:12:15 2023 removing 8659968 relations and 6659968 ideals in 2000000 cliques
  39. Wed Apr 19 12:12:18 2023 commencing in-memory singleton removal
  40. Wed Apr 19 12:12:19 2023 begin with 101233063 relations and 83395806 unique ideals
  41. Wed Apr 19 12:12:25 2023 reduce to 100688278 relations and 76178289 ideals in 7 passes
  42. Wed Apr 19 12:12:25 2023 max relations containing the same ideal: 169
  43. Wed Apr 19 12:12:42 2023 removing 6827557 relations and 4827557 ideals in 2000000 cliques
  44. Wed Apr 19 12:12:44 2023 commencing in-memory singleton removal
  45. Wed Apr 19 12:12:45 2023 begin with 93860721 relations and 76178289 unique ideals
  46. Wed Apr 19 12:12:51 2023 reduce to 93485207 relations and 70967524 ideals in 7 passes
  47. Wed Apr 19 12:12:51 2023 max relations containing the same ideal: 160
  48. Wed Apr 19 12:13:06 2023 removing 6328219 relations and 4328219 ideals in 2000000 cliques
  49. Wed Apr 19 12:13:08 2023 commencing in-memory singleton removal
  50. Wed Apr 19 12:13:09 2023 begin with 87156988 relations and 70967524 unique ideals
  51. Wed Apr 19 12:13:14 2023 reduce to 86823452 relations and 66298781 ideals in 6 passes
  52. Wed Apr 19 12:13:14 2023 max relations containing the same ideal: 151
  53. Wed Apr 19 12:13:28 2023 removing 6074715 relations and 4074715 ideals in 2000000 cliques
  54. Wed Apr 19 12:13:30 2023 commencing in-memory singleton removal
  55. Wed Apr 19 12:13:31 2023 begin with 80748737 relations and 66298781 unique ideals
  56. Wed Apr 19 12:13:36 2023 reduce to 80430566 relations and 61899269 ideals in 7 passes
  57. Wed Apr 19 12:13:36 2023 max relations containing the same ideal: 144
  58. Wed Apr 19 12:13:49 2023 removing 5925474 relations and 3925474 ideals in 2000000 cliques
  59. Wed Apr 19 12:13:51 2023 commencing in-memory singleton removal
  60. Wed Apr 19 12:13:52 2023 begin with 74505092 relations and 61899269 unique ideals
  61. Wed Apr 19 12:13:56 2023 reduce to 74189388 relations and 57650978 ideals in 7 passes
  62. Wed Apr 19 12:13:56 2023 max relations containing the same ideal: 141
  63. Wed Apr 19 12:14:09 2023 removing 5822849 relations and 3822849 ideals in 2000000 cliques
  64. Wed Apr 19 12:14:10 2023 commencing in-memory singleton removal
  65. Wed Apr 19 12:14:11 2023 begin with 68366539 relations and 57650978 unique ideals
  66. Wed Apr 19 12:14:15 2023 reduce to 68041956 relations and 53495739 ideals in 7 passes
  67. Wed Apr 19 12:14:15 2023 max relations containing the same ideal: 132
  68. Wed Apr 19 12:14:27 2023 removing 5762518 relations and 3762518 ideals in 2000000 cliques
  69. Wed Apr 19 12:14:28 2023 commencing in-memory singleton removal
  70. Wed Apr 19 12:14:29 2023 begin with 62279438 relations and 53495739 unique ideals
  71. Wed Apr 19 12:14:32 2023 reduce to 61938898 relations and 49383825 ideals in 6 passes
  72. Wed Apr 19 12:14:32 2023 max relations containing the same ideal: 122
  73. Wed Apr 19 12:14:43 2023 removing 5732081 relations and 3732081 ideals in 2000000 cliques
  74. Wed Apr 19 12:14:44 2023 commencing in-memory singleton removal
  75. Wed Apr 19 12:14:45 2023 begin with 56206817 relations and 49383825 unique ideals
  76. Wed Apr 19 12:14:48 2023 reduce to 55844318 relations and 45278945 ideals in 7 passes
  77. Wed Apr 19 12:14:48 2023 max relations containing the same ideal: 116
  78. Wed Apr 19 12:14:58 2023 removing 5717642 relations and 3717642 ideals in 2000000 cliques
  79. Wed Apr 19 12:14:59 2023 commencing in-memory singleton removal
  80. Wed Apr 19 12:15:00 2023 begin with 50126676 relations and 45278945 unique ideals
  81. Wed Apr 19 12:15:03 2023 reduce to 49731136 relations and 41153382 ideals in 8 passes
  82. Wed Apr 19 12:15:03 2023 max relations containing the same ideal: 110
  83. Wed Apr 19 12:15:12 2023 removing 5726615 relations and 3726615 ideals in 2000000 cliques
  84. Wed Apr 19 12:15:14 2023 commencing in-memory singleton removal
  85. Wed Apr 19 12:15:14 2023 begin with 44004521 relations and 41153382 unique ideals
  86. Wed Apr 19 12:15:17 2023 reduce to 43560468 relations and 36967127 ideals in 7 passes
  87. Wed Apr 19 12:15:17 2023 max relations containing the same ideal: 101
  88. Wed Apr 19 12:15:25 2023 removing 5755363 relations and 3755363 ideals in 2000000 cliques
  89. Wed Apr 19 12:15:26 2023 commencing in-memory singleton removal
  90. Wed Apr 19 12:15:26 2023 begin with 37805105 relations and 36967127 unique ideals
  91. Wed Apr 19 12:15:28 2023 reduce to 37295935 relations and 32682389 ideals in 7 passes
  92. Wed Apr 19 12:15:28 2023 max relations containing the same ideal: 92
  93. Wed Apr 19 12:15:35 2023 removing 5802242 relations and 3802242 ideals in 2000000 cliques
  94. Wed Apr 19 12:15:37 2023 commencing in-memory singleton removal
  95. Wed Apr 19 12:15:37 2023 begin with 31493693 relations and 32682389 unique ideals
  96. Wed Apr 19 12:15:39 2023 reduce to 30884049 relations and 28242730 ideals in 9 passes
  97. Wed Apr 19 12:15:39 2023 max relations containing the same ideal: 82
  98. Wed Apr 19 12:15:45 2023 removing 5375437 relations and 3577440 ideals in 1797997 cliques
  99. Wed Apr 19 12:15:46 2023 commencing in-memory singleton removal
  100. Wed Apr 19 12:15:47 2023 begin with 25508612 relations and 28242730 unique ideals
  101. Wed Apr 19 12:15:48 2023 reduce to 24844537 relations and 23967099 ideals in 8 passes
  102. Wed Apr 19 12:15:48 2023 max relations containing the same ideal: 63
  103. Wed Apr 19 12:15:53 2023 removing 207940 relations and 173824 ideals in 34116 cliques
  104. Wed Apr 19 12:15:53 2023 commencing in-memory singleton removal
  105. Wed Apr 19 12:15:54 2023 begin with 24636597 relations and 23967099 unique ideals
  106. Wed Apr 19 12:15:55 2023 reduce to 24635081 relations and 23791756 ideals in 5 passes
  107. Wed Apr 19 12:15:55 2023 max relations containing the same ideal: 63
  108. Wed Apr 19 12:15:57 2023 relations with 0 large ideals: 55761
  109. Wed Apr 19 12:15:57 2023 relations with 1 large ideals: 16637
  110. Wed Apr 19 12:15:57 2023 relations with 2 large ideals: 193949
  111. Wed Apr 19 12:15:57 2023 relations with 3 large ideals: 1088482
  112. Wed Apr 19 12:15:57 2023 relations with 4 large ideals: 3273544
  113. Wed Apr 19 12:15:57 2023 relations with 5 large ideals: 5815487
  114. Wed Apr 19 12:15:57 2023 relations with 6 large ideals: 6417864
  115. Wed Apr 19 12:15:57 2023 relations with 7+ large ideals: 7773357
  116. Wed Apr 19 12:15:57 2023 commencing 2-way merge
  117. Wed Apr 19 12:16:04 2023 reduce to 16676165 relation sets and 15832840 unique ideals
  118. Wed Apr 19 12:16:04 2023 commencing full merge
  119. Wed Apr 19 12:19:55 2023 memory use: 2134.2 MB
  120. Wed Apr 19 12:19:56 2023 found 7658656 cycles, need 7607040
  121. Wed Apr 19 12:19:57 2023 weight of 7607040 cycles is about 837137928 (110.05/cycle)
  122. Wed Apr 19 12:19:57 2023 distribution of cycle lengths:
  123. Wed Apr 19 12:19:57 2023 1 relations: 360223
  124. Wed Apr 19 12:19:57 2023 2 relations: 480405
  125. Wed Apr 19 12:19:57 2023 3 relations: 561760
  126. Wed Apr 19 12:19:57 2023 4 relations: 581614
  127. Wed Apr 19 12:19:57 2023 5 relations: 597094
  128. Wed Apr 19 12:19:57 2023 6 relations: 589687
  129. Wed Apr 19 12:19:57 2023 7 relations: 573350
  130. Wed Apr 19 12:19:57 2023 8 relations: 538448
  131. Wed Apr 19 12:19:57 2023 9 relations: 498159
  132. Wed Apr 19 12:19:57 2023 10+ relations: 2826300
  133. Wed Apr 19 12:19:57 2023 heaviest cycle: 28 relations
  134. Wed Apr 19 12:19:59 2023 commencing cycle optimization
  135. Wed Apr 19 12:20:08 2023 start with 64894194 relations
  136. Wed Apr 19 12:21:35 2023 pruned 3137032 relations
  137. Wed Apr 19 12:21:35 2023 memory use: 1688.5 MB
  138. Wed Apr 19 12:21:35 2023 distribution of cycle lengths:
  139. Wed Apr 19 12:21:35 2023 1 relations: 360223
  140. Wed Apr 19 12:21:36 2023 2 relations: 491444
  141. Wed Apr 19 12:21:36 2023 3 relations: 585693
  142. Wed Apr 19 12:21:36 2023 4 relations: 606978
  143. Wed Apr 19 12:21:36 2023 5 relations: 628798
  144. Wed Apr 19 12:21:36 2023 6 relations: 621268
  145. Wed Apr 19 12:21:36 2023 7 relations: 606025
  146. Wed Apr 19 12:21:36 2023 8 relations: 565532
  147. Wed Apr 19 12:21:36 2023 9 relations: 522119
  148. Wed Apr 19 12:21:36 2023 10+ relations: 2618960
  149. Wed Apr 19 12:21:36 2023 heaviest cycle: 28 relations
  150. Wed Apr 19 12:21:43 2023 RelProcTime: 998
  151. Wed Apr 19 12:21:43 2023
  152. Wed Apr 19 12:21:43 2023 commencing linear algebra
  153. Wed Apr 19 12:21:43 2023 using VBITS=256
  154. Wed Apr 19 12:21:44 2023 read 7607040 cycles
  155. Wed Apr 19 12:21:52 2023 cycles contain 24208307 unique relations
  156. Wed Apr 19 12:22:07 2023 read 24208307 relations
  157. Wed Apr 19 12:22:10 2023 using 20 quadratic characters above 4294917295
  158. Wed Apr 19 12:22:14 2023 building initial matrix
  159. Wed Apr 19 12:24:51 2023 memory use: 2967.1 MB
  160. Wed Apr 19 12:24:52 2023 read 7607040 cycles
  161. Wed Apr 19 12:24:53 2023 matrix is 7606861 x 7607040 (3272.2 MB) with weight 927477279 (121.92/col)
  162. Wed Apr 19 12:24:53 2023 sparse part has weight 781721473 (102.76/col)
  163. Wed Apr 19 12:25:34 2023 filtering completed in 2 passes
  164. Wed Apr 19 12:25:35 2023 matrix is 7606428 x 7606592 (3272.2 MB) with weight 927462283 (121.93/col)
  165. Wed Apr 19 12:25:35 2023 sparse part has weight 781715072 (102.77/col)
  166. Wed Apr 19 12:25:45 2023 matrix starts at (0, 0)
  167. Wed Apr 19 12:25:45 2023 matrix is 7606428 x 7606592 (3272.2 MB) with weight 927462283 (121.93/col)
  168. Wed Apr 19 12:25:45 2023 sparse part has weight 781715072 (102.77/col)
  169. Wed Apr 19 12:25:45 2023 saving the first 240 matrix rows for later
  170. Wed Apr 19 12:25:46 2023 matrix includes 256 packed rows
  171. Wed Apr 19 12:25:48 2023 matrix is 7606188 x 7606592 (3029.1 MB) with weight 708942068 (93.20/col)
  172. Wed Apr 19 12:25:48 2023 sparse part has weight 672353269 (88.39/col)
  173. Wed Apr 19 12:25:48 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  174. Wed Apr 19 12:25:48 2023 selected card has CUDA arch 8.6
  175. Wed Apr 19 12:26:13 2023 commencing Lanczos iteration
  176. Wed Apr 19 12:26:13 2023 memory use: 7044.8 MB
  177. Wed Apr 19 12:26:35 2023 linear algebra at 0.4%, ETA 1h30m
  178. Wed Apr 19 12:27:08 2023 checking every 80000 dimensions, checkpointing every 5040000 dimensions
  179. Wed Apr 19 13:55:24 2023 lanczos halted after 29801 iterations (dim = 7606187)
  180. Wed Apr 19 13:56:02 2023 recovered 33 nontrivial dependencies
  181. Wed Apr 19 13:56:03 2023 BLanczosTime: 5660
  182. Wed Apr 19 13:56:03 2023
  183. Wed Apr 19 13:56:03 2023 commencing square root phase
  184. Wed Apr 19 13:56:03 2023 handling dependencies 1 to 64
  185. Wed Apr 19 13:56:03 2023 reading relations for dependency 1
  186. Wed Apr 19 13:56:19 2023 read 3805504 cycles
  187. Wed Apr 19 13:56:26 2023 cycles contain 12110382 unique relations
  188. Wed Apr 19 13:56:58 2023 read 12110382 relations
  189. Wed Apr 19 13:57:42 2023 multiplying 12110382 relations
  190. Wed Apr 19 14:00:40 2023 multiply complete, coefficients have about 298.20 million bits
  191. Wed Apr 19 14:00:41 2023 initial square root is modulo 224239
  192. Wed Apr 19 14:01:56 2023 GCD is 1, no factor found
  193. Wed Apr 19 14:01:56 2023 reading relations for dependency 2
  194. Wed Apr 19 14:01:57 2023 read 3804546 cycles
  195. Wed Apr 19 14:02:01 2023 cycles contain 12105182 unique relations
  196. Wed Apr 19 14:02:11 2023 read 12105182 relations
  197. Wed Apr 19 14:02:39 2023 multiplying 12105182 relations
  198. Wed Apr 19 14:04:24 2023 multiply complete, coefficients have about 298.07 million bits
  199. Wed Apr 19 14:04:25 2023 initial square root is modulo 223009
  200. Wed Apr 19 14:05:29 2023 sqrtTime: 566
  201. Wed Apr 19 14:05:29 2023 p102 factor: 141762028404405231196077147685222986145899254828609697303055382817925339760100217028342343423810868699
  202. Wed Apr 19 14:05:29 2023 p137 factor: 23189051926790733820314370613618679666041536333627596222250876206617226932309995167965923762991876450391705981465444788295582320061668959
  203. Wed Apr 19 14:05:29 2023 elapsed time 02:00:25
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