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Jan 27th, 2023
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  1. Thu Jan 26 19:21:50 2023
  2. Thu Jan 26 19:21:50 2023
  3. Thu Jan 26 19:21:50 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jan 26 19:21:50 2023 random seeds: fdb1436b 5374dc79
  5. Thu Jan 26 19:21:50 2023 factoring 32457798072192862227014785796984137971266479522138196032283705603707076490883158053957537876946870208322251361145256541282689152498140640731947777942984958206531380853797162756793824538041209 (191 digits)
  6. Thu Jan 26 19:21:51 2023 no P-1/P+1/ECM available, skipping
  7. Thu Jan 26 19:21:51 2023 commencing number field sieve (191-digit input)
  8. Thu Jan 26 19:21:51 2023 R0: 214830151054825671220829841094408821587736202130
  9. Thu Jan 26 19:21:51 2023 R1: -463497735760192976609623
  10. Thu Jan 26 19:21:51 2023 A0: 1
  11. Thu Jan 26 19:21:51 2023 A1: 3
  12. Thu Jan 26 19:21:51 2023 A2: -3
  13. Thu Jan 26 19:21:51 2023 A3: -4
  14. Thu Jan 26 19:21:51 2023 A4: 1
  15. Thu Jan 26 19:21:51 2023 A5: 1
  16. Thu Jan 26 19:21:51 2023 skew 1.00, size 4.247e-16, alpha 2.379, combined = 5.322e-13 rroots = 5
  17. Thu Jan 26 19:21:51 2023
  18. Thu Jan 26 19:21:51 2023 commencing relation filtering
  19. Thu Jan 26 19:21:51 2023 setting target matrix density to 112.0
  20. Thu Jan 26 19:21:51 2023 estimated available RAM is 15960.0 MB
  21. Thu Jan 26 19:21:51 2023 commencing duplicate removal, pass 1
  22. Thu Jan 26 19:38:54 2023 error -15 reading relation 136240022
  23. Thu Jan 26 19:40:19 2023 error -9 reading relation 146629994
  24. Thu Jan 26 19:40:19 2023 error -9 reading relation 146666823
  25. Thu Jan 26 19:40:19 2023 error -1 reading relation 146731410
  26. Thu Jan 26 19:40:33 2023 skipped 126 relations with b > 2^32
  27. Thu Jan 26 19:40:33 2023 found 6119956 hash collisions in 148465503 relations
  28. Thu Jan 26 19:40:33 2023 commencing duplicate removal, pass 2
  29. Thu Jan 26 19:41:16 2023 found 1407582 duplicates and 147057921 unique relations
  30. Thu Jan 26 19:41:16 2023 memory use: 506.4 MB
  31. Thu Jan 26 19:41:16 2023 reading ideals above 113967104
  32. Thu Jan 26 19:41:16 2023 commencing singleton removal, initial pass
  33. Thu Jan 26 19:55:22 2023 memory use: 3012.0 MB
  34. Thu Jan 26 19:55:22 2023 reading all ideals from disk
  35. Thu Jan 26 19:55:33 2023 memory use: 2603.7 MB
  36. Thu Jan 26 19:55:42 2023 commencing in-memory singleton removal
  37. Thu Jan 26 19:55:48 2023 begin with 147057921 relations and 115090965 unique ideals
  38. Thu Jan 26 19:56:52 2023 reduce to 102036141 relations and 66149821 ideals in 13 passes
  39. Thu Jan 26 19:56:54 2023 max relations containing the same ideal: 42
  40. Thu Jan 26 19:57:00 2023 reading ideals above 720000
  41. Thu Jan 26 19:57:00 2023 commencing singleton removal, initial pass
  42. Thu Jan 26 20:08:58 2023 memory use: 1506.0 MB
  43. Thu Jan 26 20:08:59 2023 reading all ideals from disk
  44. Thu Jan 26 20:09:04 2023 memory use: 3942.8 MB
  45. Thu Jan 26 20:09:14 2023 keeping 78680050 ideals with weight <= 200, target excess is 504352
  46. Thu Jan 26 20:09:25 2023 commencing in-memory singleton removal
  47. Thu Jan 26 20:09:33 2023 begin with 102036141 relations and 78680050 unique ideals
  48. Thu Jan 26 20:09:56 2023 reduce to 102035852 relations and 78679759 ideals in 3 passes
  49. Thu Jan 26 20:09:56 2023 max relations containing the same ideal: 200
  50. Thu Jan 26 20:10:38 2023 removing 8508765 relations and 6508765 ideals in 2000000 cliques
  51. Thu Jan 26 20:10:42 2023 commencing in-memory singleton removal
  52. Thu Jan 26 20:10:49 2023 begin with 93527087 relations and 78679759 unique ideals
  53. Thu Jan 26 20:11:39 2023 reduce to 92967383 relations and 71597231 ideals in 7 passes
  54. Thu Jan 26 20:11:39 2023 max relations containing the same ideal: 196
  55. Thu Jan 26 20:12:18 2023 removing 6722893 relations and 4722893 ideals in 2000000 cliques
  56. Thu Jan 26 20:12:21 2023 commencing in-memory singleton removal
  57. Thu Jan 26 20:12:28 2023 begin with 86244490 relations and 71597231 unique ideals
  58. Thu Jan 26 20:13:06 2023 reduce to 85852667 relations and 66473826 ideals in 6 passes
  59. Thu Jan 26 20:13:06 2023 max relations containing the same ideal: 189
  60. Thu Jan 26 20:13:41 2023 removing 6238215 relations and 4238215 ideals in 2000000 cliques
  61. Thu Jan 26 20:13:44 2023 commencing in-memory singleton removal
  62. Thu Jan 26 20:13:50 2023 begin with 79614452 relations and 66473826 unique ideals
  63. Thu Jan 26 20:14:24 2023 reduce to 79263068 relations and 61876355 ideals in 6 passes
  64. Thu Jan 26 20:14:24 2023 max relations containing the same ideal: 179
  65. Thu Jan 26 20:14:56 2023 removing 6004035 relations and 4004035 ideals in 2000000 cliques
  66. Thu Jan 26 20:14:58 2023 commencing in-memory singleton removal
  67. Thu Jan 26 20:15:04 2023 begin with 73259033 relations and 61876355 unique ideals
  68. Thu Jan 26 20:15:41 2023 reduce to 72917137 relations and 57522405 ideals in 7 passes
  69. Thu Jan 26 20:15:41 2023 max relations containing the same ideal: 171
  70. Thu Jan 26 20:16:11 2023 removing 5871818 relations and 3871818 ideals in 2000000 cliques
  71. Thu Jan 26 20:16:13 2023 commencing in-memory singleton removal
  72. Thu Jan 26 20:16:18 2023 begin with 67045319 relations and 57522405 unique ideals
  73. Thu Jan 26 20:16:52 2023 reduce to 66697370 relations and 53293992 ideals in 7 passes
  74. Thu Jan 26 20:16:52 2023 max relations containing the same ideal: 166
  75. Thu Jan 26 20:17:19 2023 removing 5792362 relations and 3792362 ideals in 2000000 cliques
  76. Thu Jan 26 20:17:22 2023 commencing in-memory singleton removal
  77. Thu Jan 26 20:17:26 2023 begin with 60905008 relations and 53293992 unique ideals
  78. Thu Jan 26 20:17:56 2023 reduce to 60542094 relations and 49128885 ideals in 7 passes
  79. Thu Jan 26 20:17:56 2023 max relations containing the same ideal: 157
  80. Thu Jan 26 20:18:21 2023 removing 5756348 relations and 3756348 ideals in 2000000 cliques
  81. Thu Jan 26 20:18:23 2023 commencing in-memory singleton removal
  82. Thu Jan 26 20:18:27 2023 begin with 54785746 relations and 49128885 unique ideals
  83. Thu Jan 26 20:18:54 2023 reduce to 54394450 relations and 44969754 ideals in 7 passes
  84. Thu Jan 26 20:18:54 2023 max relations containing the same ideal: 145
  85. Thu Jan 26 20:19:16 2023 removing 5750379 relations and 3750379 ideals in 2000000 cliques
  86. Thu Jan 26 20:19:18 2023 commencing in-memory singleton removal
  87. Thu Jan 26 20:19:22 2023 begin with 48644071 relations and 44969754 unique ideals
  88. Thu Jan 26 20:19:45 2023 reduce to 48208382 relations and 40769727 ideals in 7 passes
  89. Thu Jan 26 20:19:45 2023 max relations containing the same ideal: 134
  90. Thu Jan 26 20:20:04 2023 removing 5781111 relations and 3781111 ideals in 2000000 cliques
  91. Thu Jan 26 20:20:06 2023 commencing in-memory singleton removal
  92. Thu Jan 26 20:20:09 2023 begin with 42427271 relations and 40769727 unique ideals
  93. Thu Jan 26 20:20:32 2023 reduce to 41930322 relations and 36473700 ideals in 8 passes
  94. Thu Jan 26 20:20:32 2023 max relations containing the same ideal: 118
  95. Thu Jan 26 20:20:48 2023 removing 5840613 relations and 3840613 ideals in 2000000 cliques
  96. Thu Jan 26 20:20:50 2023 commencing in-memory singleton removal
  97. Thu Jan 26 20:20:53 2023 begin with 36089709 relations and 36473700 unique ideals
  98. Thu Jan 26 20:21:14 2023 reduce to 35500121 relations and 32019059 ideals in 9 passes
  99. Thu Jan 26 20:21:14 2023 max relations containing the same ideal: 105
  100. Thu Jan 26 20:21:28 2023 removing 5925691 relations and 3925691 ideals in 2000000 cliques
  101. Thu Jan 26 20:21:30 2023 commencing in-memory singleton removal
  102. Thu Jan 26 20:21:32 2023 begin with 29574430 relations and 32019059 unique ideals
  103. Thu Jan 26 20:21:45 2023 reduce to 28846365 relations and 27329196 ideals in 7 passes
  104. Thu Jan 26 20:21:45 2023 max relations containing the same ideal: 91
  105. Thu Jan 26 20:21:56 2023 removing 3281407 relations and 2349287 ideals in 932120 cliques
  106. Thu Jan 26 20:21:57 2023 commencing in-memory singleton removal
  107. Thu Jan 26 20:21:58 2023 begin with 25564958 relations and 27329196 unique ideals
  108. Thu Jan 26 20:22:09 2023 reduce to 25258440 relations and 24664037 ideals in 8 passes
  109. Thu Jan 26 20:22:09 2023 max relations containing the same ideal: 82
  110. Thu Jan 26 20:22:18 2023 removing 65866 relations and 56512 ideals in 9354 cliques
  111. Thu Jan 26 20:22:19 2023 commencing in-memory singleton removal
  112. Thu Jan 26 20:22:20 2023 begin with 25192574 relations and 24664037 unique ideals
  113. Thu Jan 26 20:22:25 2023 reduce to 25192452 relations and 24607403 ideals in 4 passes
  114. Thu Jan 26 20:22:25 2023 max relations containing the same ideal: 82
  115. Thu Jan 26 20:22:30 2023 relations with 0 large ideals: 39425
  116. Thu Jan 26 20:22:30 2023 relations with 1 large ideals: 6379
  117. Thu Jan 26 20:22:30 2023 relations with 2 large ideals: 77586
  118. Thu Jan 26 20:22:30 2023 relations with 3 large ideals: 539811
  119. Thu Jan 26 20:22:30 2023 relations with 4 large ideals: 2045794
  120. Thu Jan 26 20:22:30 2023 relations with 5 large ideals: 4640808
  121. Thu Jan 26 20:22:30 2023 relations with 6 large ideals: 7424653
  122. Thu Jan 26 20:22:30 2023 relations with 7+ large ideals: 10417996
  123. Thu Jan 26 20:22:30 2023 commencing 2-way merge
  124. Thu Jan 26 20:22:41 2023 reduce to 17019030 relation sets and 16433981 unique ideals
  125. Thu Jan 26 20:22:41 2023 commencing full merge
  126. Thu Jan 26 20:28:27 2023 memory use: 2223.4 MB
  127. Thu Jan 26 20:28:28 2023 found 7733774 cycles, need 7720181
  128. Thu Jan 26 20:28:31 2023 weight of 7720181 cycles is about 865095654 (112.06/cycle)
  129. Thu Jan 26 20:28:31 2023 distribution of cycle lengths:
  130. Thu Jan 26 20:28:31 2023 1 relations: 364000
  131. Thu Jan 26 20:28:31 2023 2 relations: 475731
  132. Thu Jan 26 20:28:31 2023 3 relations: 547903
  133. Thu Jan 26 20:28:31 2023 4 relations: 564094
  134. Thu Jan 26 20:28:31 2023 5 relations: 575286
  135. Thu Jan 26 20:28:31 2023 6 relations: 567158
  136. Thu Jan 26 20:28:31 2023 7 relations: 554128
  137. Thu Jan 26 20:28:31 2023 8 relations: 527429
  138. Thu Jan 26 20:28:31 2023 9 relations: 495392
  139. Thu Jan 26 20:28:31 2023 10+ relations: 3049060
  140. Thu Jan 26 20:28:31 2023 heaviest cycle: 28 relations
  141. Thu Jan 26 20:28:33 2023 commencing cycle optimization
  142. Thu Jan 26 20:28:46 2023 start with 68262977 relations
  143. Thu Jan 26 20:30:59 2023 pruned 3335647 relations
  144. Thu Jan 26 20:30:59 2023 memory use: 1750.3 MB
  145. Thu Jan 26 20:30:59 2023 distribution of cycle lengths:
  146. Thu Jan 26 20:30:59 2023 1 relations: 364000
  147. Thu Jan 26 20:30:59 2023 2 relations: 486384
  148. Thu Jan 26 20:30:59 2023 3 relations: 570378
  149. Thu Jan 26 20:30:59 2023 4 relations: 588529
  150. Thu Jan 26 20:30:59 2023 5 relations: 605848
  151. Thu Jan 26 20:30:59 2023 6 relations: 596169
  152. Thu Jan 26 20:30:59 2023 7 relations: 585248
  153. Thu Jan 26 20:30:59 2023 8 relations: 555414
  154. Thu Jan 26 20:30:59 2023 9 relations: 520537
  155. Thu Jan 26 20:30:59 2023 10+ relations: 2847674
  156. Thu Jan 26 20:30:59 2023 heaviest cycle: 28 relations
  157. Thu Jan 26 20:31:11 2023 RelProcTime: 4160
  158. Thu Jan 26 20:31:14 2023 elapsed time 01:09:24
  159. Thu Jan 26 20:32:17 2023
  160. Thu Jan 26 20:32:17 2023
  161. Thu Jan 26 20:32:17 2023 Msieve v. 1.54 (SVN Unversioned directory)
  162. Thu Jan 26 20:32:17 2023 random seeds: 981f5752 f90444a1
  163. Thu Jan 26 20:32:17 2023 factoring 32457798072192862227014785796984137971266479522138196032283705603707076490883158053957537876946870208322251361145256541282689152498140640731947777942984958206531380853797162756793824538041209 (191 digits)
  164. Thu Jan 26 20:32:17 2023 no P-1/P+1/ECM available, skipping
  165. Thu Jan 26 20:32:17 2023 commencing number field sieve (191-digit input)
  166. Thu Jan 26 20:32:17 2023 R0: 214830151054825671220829841094408821587736202130
  167. Thu Jan 26 20:32:17 2023 R1: -463497735760192976609623
  168. Thu Jan 26 20:32:17 2023 A0: 1
  169. Thu Jan 26 20:32:17 2023 A1: 3
  170. Thu Jan 26 20:32:17 2023 A2: -3
  171. Thu Jan 26 20:32:17 2023 A3: -4
  172. Thu Jan 26 20:32:17 2023 A4: 1
  173. Thu Jan 26 20:32:17 2023 A5: 1
  174. Thu Jan 26 20:32:17 2023 skew 1.00, size 4.247e-16, alpha 2.379, combined = 5.322e-13 rroots = 5
  175. Thu Jan 26 20:32:17 2023
  176. Thu Jan 26 20:32:17 2023 commencing linear algebra
  177. Thu Jan 26 20:32:17 2023 using VBITS=512
  178. Thu Jan 26 20:32:18 2023 read 7720181 cycles
  179. Thu Jan 26 20:32:30 2023 cycles contain 24887191 unique relations
  180. Thu Jan 26 20:34:29 2023 read 24887191 relations
  181. Thu Jan 26 20:35:03 2023 using 20 quadratic characters above 4294917295
  182. Thu Jan 26 20:36:40 2023 building initial matrix
  183. Thu Jan 26 20:41:03 2023 memory use: 3078.1 MB
  184. Thu Jan 26 20:41:05 2023 read 7720181 cycles
  185. Thu Jan 26 20:41:06 2023 matrix is 7720004 x 7720181 (3407.9 MB) with weight 971447579 (125.83/col)
  186. Thu Jan 26 20:41:06 2023 sparse part has weight 808442431 (104.72/col)
  187. Thu Jan 26 20:42:29 2023 filtering completed in 2 passes
  188. Thu Jan 26 20:42:30 2023 matrix is 7719901 x 7720040 (3407.9 MB) with weight 971443372 (125.83/col)
  189. Thu Jan 26 20:42:30 2023 sparse part has weight 808440926 (104.72/col)
  190. Thu Jan 26 20:42:50 2023 matrix starts at (0, 0)
  191. Thu Jan 26 20:42:51 2023 matrix is 7719901 x 7720040 (3407.9 MB) with weight 971443372 (125.83/col)
  192. Thu Jan 26 20:42:51 2023 sparse part has weight 808440926 (104.72/col)
  193. Thu Jan 26 20:42:51 2023 saving the first 496 matrix rows for later
  194. Thu Jan 26 20:42:53 2023 matrix includes 512 packed rows
  195. Thu Jan 26 20:42:58 2023 matrix is 7719405 x 7720040 (3227.2 MB) with weight 697881246 (90.40/col)
  196. Thu Jan 26 20:42:58 2023 sparse part has weight 660712266 (85.58/col)
  197. Thu Jan 26 20:42:58 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  198. Thu Jan 26 20:42:58 2023 selected card has CUDA arch 8.6
  199. Thu Jan 26 20:43:44 2023 commencing Lanczos iteration
  200. Thu Jan 26 20:43:44 2023 memory use: 9046.0 MB
  201. Thu Jan 26 20:44:12 2023 linear algebra at 0.2%, ETA 3h45m
  202. Thu Jan 26 20:44:13 2023 checkpointing every 2040000 dimensions
  203. Fri Jan 27 00:32:42 2023 lanczos halted after 15101 iterations (dim = 7719401)
  204. Fri Jan 27 00:34:46 2023 recovered 33 nontrivial dependencies
  205. Fri Jan 27 00:34:46 2023 BLanczosTime: 14549
  206. Fri Jan 27 00:34:46 2023
  207. Fri Jan 27 00:34:46 2023 commencing square root phase
  208. Fri Jan 27 00:34:46 2023 handling dependencies 1 to 64
  209. Fri Jan 27 00:34:46 2023 reading relations for dependency 1
  210. Fri Jan 27 00:34:47 2023 read 3859448 cycles
  211. Fri Jan 27 00:34:54 2023 cycles contain 12443366 unique relations
  212. Fri Jan 27 00:35:57 2023 read 12443366 relations
  213. Fri Jan 27 00:36:39 2023 multiplying 12443366 relations
  214. Fri Jan 27 00:41:16 2023 multiply complete, coefficients have about 310.85 million bits
  215. Fri Jan 27 00:41:17 2023 initial square root is modulo 378127
  216. Fri Jan 27 00:46:45 2023 sqrtTime: 719
  217. Fri Jan 27 00:46:45 2023 p96 factor: 169939271185237033227058871312570554030544606651870430763082052862554244725793944308542910221121
  218. Fri Jan 27 00:46:45 2023 p96 factor: 190996453296620566657946202395164425298973370034680866341331292978595374298303887085444163164729
  219. Fri Jan 27 00:46:45 2023 elapsed time 04:14:28
  220.  
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