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Oct 16th, 2023
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  1. Mon Oct 16 11:37:47 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Mon Oct 16 11:37:47 2023 random seeds: 966544cf d3ce8311
  3. Mon Oct 16 11:37:47 2023 Using 16 OpenMP threads
  4. Mon Oct 16 11:37:47 2023 factoring 21056026440253423303029862420192670344276520328884763386303403856046501884137399256198370756482604622422148477450527593049948755177013894825284954896476270916442921 (164 digits)
  5. Mon Oct 16 11:37:47 2023 no P-1/P+1/ECM available, skipping
  6. Mon Oct 16 11:37:47 2023 commencing number field sieve (164-digit input)
  7. Mon Oct 16 11:37:47 2023 R0: -30561396211094113432668896661871
  8. Mon Oct 16 11:37:47 2023 R1: 431786271806761094551
  9. Mon Oct 16 11:37:47 2023 A0: -10433500491609966175681984904938882080
  10. Mon Oct 16 11:37:47 2023 A1: -100516417425245510774272611644404
  11. Mon Oct 16 11:37:47 2023 A2: 98421857901208536322239720
  12. Mon Oct 16 11:37:47 2023 A3: 36936894037421279293
  13. Mon Oct 16 11:37:47 2023 A4: 1671145490424
  14. Mon Oct 16 11:37:47 2023 A5: 2369340
  15. Mon Oct 16 11:37:47 2023 skew 2195630.59, size 6.558e-16, alpha -6.990, combined = 8.986e-13 rroots = 3
  16. Mon Oct 16 11:37:47 2023
  17. Mon Oct 16 11:37:47 2023 commencing relation filtering
  18. Mon Oct 16 11:37:47 2023 setting target matrix density to 100.0
  19. Mon Oct 16 11:37:47 2023 estimated available RAM is 128734.5 MB
  20. Mon Oct 16 11:37:47 2023 commencing duplicate removal, pass 1
  21. Mon Oct 16 11:39:35 2023 found 4545944 hash collisions in 142812921 relations
  22. Mon Oct 16 11:39:50 2023 added 122321 free relations
  23. Mon Oct 16 11:39:50 2023 commencing duplicate removal, pass 2
  24. Mon Oct 16 11:40:20 2023 found 0 duplicates and 142935242 unique relations
  25. Mon Oct 16 11:40:20 2023 memory use: 405.2 MB
  26. Mon Oct 16 11:40:20 2023 reading ideals above 720000
  27. Mon Oct 16 11:40:20 2023 commencing singleton removal, initial pass
  28. Mon Oct 16 11:44:26 2023 memory use: 3012.0 MB
  29. Mon Oct 16 11:44:26 2023 reading all ideals from disk
  30. Mon Oct 16 11:44:29 2023 memory use: 6450.8 MB
  31. Mon Oct 16 11:44:35 2023 keeping 121110147 ideals with weight <= 200, target excess is 758426
  32. Mon Oct 16 11:44:43 2023 commencing in-memory singleton removal
  33. Mon Oct 16 11:44:45 2023 begin with 142935242 relations and 121110147 unique ideals
  34. Mon Oct 16 11:44:57 2023 reduce to 107074768 relations and 83734620 ideals in 14 passes
  35. Mon Oct 16 11:44:57 2023 max relations containing the same ideal: 177
  36. Mon Oct 16 11:45:17 2023 removing 10660517 relations and 8660517 ideals in 2000000 cliques
  37. Mon Oct 16 11:45:19 2023 commencing in-memory singleton removal
  38. Mon Oct 16 11:45:20 2023 begin with 96414251 relations and 83734620 unique ideals
  39. Mon Oct 16 11:45:26 2023 reduce to 95652293 relations and 74294637 ideals in 9 passes
  40. Mon Oct 16 11:45:26 2023 max relations containing the same ideal: 161
  41. Mon Oct 16 11:45:44 2023 removing 8126815 relations and 6126815 ideals in 2000000 cliques
  42. Mon Oct 16 11:45:46 2023 commencing in-memory singleton removal
  43. Mon Oct 16 11:45:47 2023 begin with 87525478 relations and 74294637 unique ideals
  44. Mon Oct 16 11:45:51 2023 reduce to 87004110 relations and 67635523 ideals in 8 passes
  45. Mon Oct 16 11:45:51 2023 max relations containing the same ideal: 154
  46. Mon Oct 16 11:46:07 2023 removing 7389645 relations and 5389645 ideals in 2000000 cliques
  47. Mon Oct 16 11:46:09 2023 commencing in-memory singleton removal
  48. Mon Oct 16 11:46:10 2023 begin with 79614465 relations and 67635523 unique ideals
  49. Mon Oct 16 11:46:14 2023 reduce to 79149473 relations and 61770809 ideals in 7 passes
  50. Mon Oct 16 11:46:14 2023 max relations containing the same ideal: 144
  51. Mon Oct 16 11:46:28 2023 removing 7008594 relations and 5008594 ideals in 2000000 cliques
  52. Mon Oct 16 11:46:30 2023 commencing in-memory singleton removal
  53. Mon Oct 16 11:46:31 2023 begin with 72140879 relations and 61770809 unique ideals
  54. Mon Oct 16 11:46:34 2023 reduce to 71697090 relations and 56308314 ideals in 7 passes
  55. Mon Oct 16 11:46:34 2023 max relations containing the same ideal: 136
  56. Mon Oct 16 11:46:47 2023 removing 6770944 relations and 4770944 ideals in 2000000 cliques
  57. Mon Oct 16 11:46:49 2023 commencing in-memory singleton removal
  58. Mon Oct 16 11:46:50 2023 begin with 64926146 relations and 56308314 unique ideals
  59. Mon Oct 16 11:46:53 2023 reduce to 64484184 relations and 51084305 ideals in 7 passes
  60. Mon Oct 16 11:46:53 2023 max relations containing the same ideal: 124
  61. Mon Oct 16 11:47:05 2023 removing 6612164 relations and 4612164 ideals in 2000000 cliques
  62. Mon Oct 16 11:47:07 2023 commencing in-memory singleton removal
  63. Mon Oct 16 11:47:07 2023 begin with 57872020 relations and 51084305 unique ideals
  64. Mon Oct 16 11:47:10 2023 reduce to 57421244 relations and 46008735 ideals in 8 passes
  65. Mon Oct 16 11:47:10 2023 max relations containing the same ideal: 118
  66. Mon Oct 16 11:47:21 2023 removing 6498575 relations and 4498575 ideals in 2000000 cliques
  67. Mon Oct 16 11:47:23 2023 commencing in-memory singleton removal
  68. Mon Oct 16 11:47:23 2023 begin with 50922669 relations and 46008735 unique ideals
  69. Mon Oct 16 11:47:25 2023 reduce to 50446610 relations and 41019695 ideals in 7 passes
  70. Mon Oct 16 11:47:25 2023 max relations containing the same ideal: 110
  71. Mon Oct 16 11:47:35 2023 removing 6421047 relations and 4421047 ideals in 2000000 cliques
  72. Mon Oct 16 11:47:37 2023 commencing in-memory singleton removal
  73. Mon Oct 16 11:47:37 2023 begin with 44025563 relations and 41019695 unique ideals
  74. Mon Oct 16 11:47:39 2023 reduce to 43514086 relations and 36069273 ideals in 7 passes
  75. Mon Oct 16 11:47:39 2023 max relations containing the same ideal: 98
  76. Mon Oct 16 11:47:47 2023 removing 6360364 relations and 4360364 ideals in 2000000 cliques
  77. Mon Oct 16 11:47:49 2023 commencing in-memory singleton removal
  78. Mon Oct 16 11:47:49 2023 begin with 37153722 relations and 36069273 unique ideals
  79. Mon Oct 16 11:47:51 2023 reduce to 36588756 relations and 31121354 ideals in 7 passes
  80. Mon Oct 16 11:47:51 2023 max relations containing the same ideal: 89
  81. Mon Oct 16 11:47:58 2023 removing 6319510 relations and 4319510 ideals in 2000000 cliques
  82. Mon Oct 16 11:47:59 2023 commencing in-memory singleton removal
  83. Mon Oct 16 11:48:00 2023 begin with 30269246 relations and 31121354 unique ideals
  84. Mon Oct 16 11:48:01 2023 reduce to 29619316 relations and 26121630 ideals in 9 passes
  85. Mon Oct 16 11:48:01 2023 max relations containing the same ideal: 77
  86. Mon Oct 16 11:48:07 2023 removing 6276781 relations and 4276781 ideals in 2000000 cliques
  87. Mon Oct 16 11:48:09 2023 commencing in-memory singleton removal
  88. Mon Oct 16 11:48:09 2023 begin with 23342535 relations and 26121630 unique ideals
  89. Mon Oct 16 11:48:10 2023 reduce to 22552942 relations and 21009247 ideals in 8 passes
  90. Mon Oct 16 11:48:10 2023 max relations containing the same ideal: 61
  91. Mon Oct 16 11:48:15 2023 removing 2592860 relations and 1928940 ideals in 663920 cliques
  92. Mon Oct 16 11:48:15 2023 commencing in-memory singleton removal
  93. Mon Oct 16 11:48:16 2023 begin with 19960082 relations and 21009247 unique ideals
  94. Mon Oct 16 11:48:16 2023 reduce to 19767415 relations and 18882780 ideals in 7 passes
  95. Mon Oct 16 11:48:16 2023 max relations containing the same ideal: 58
  96. Mon Oct 16 11:48:22 2023 relations with 0 large ideals: 2454
  97. Mon Oct 16 11:48:22 2023 relations with 1 large ideals: 24865
  98. Mon Oct 16 11:48:22 2023 relations with 2 large ideals: 302416
  99. Mon Oct 16 11:48:22 2023 relations with 3 large ideals: 1507555
  100. Mon Oct 16 11:48:22 2023 relations with 4 large ideals: 3831697
  101. Mon Oct 16 11:48:22 2023 relations with 5 large ideals: 5555567
  102. Mon Oct 16 11:48:22 2023 relations with 6 large ideals: 4882489
  103. Mon Oct 16 11:48:22 2023 relations with 7+ large ideals: 3660372
  104. Mon Oct 16 11:48:22 2023 commencing 2-way merge
  105. Mon Oct 16 11:48:28 2023 reduce to 12369988 relation sets and 11485353 unique ideals
  106. Mon Oct 16 11:48:28 2023 commencing full merge
  107. Mon Oct 16 11:50:23 2023 memory use: 1417.6 MB
  108. Mon Oct 16 11:50:23 2023 found 6020027 cycles, need 5901553
  109. Mon Oct 16 11:50:25 2023 weight of 5901553 cycles is about 590745239 (100.10/cycle)
  110. Mon Oct 16 11:50:25 2023 distribution of cycle lengths:
  111. Mon Oct 16 11:50:25 2023 1 relations: 279573
  112. Mon Oct 16 11:50:25 2023 2 relations: 420197
  113. Mon Oct 16 11:50:25 2023 3 relations: 501824
  114. Mon Oct 16 11:50:25 2023 4 relations: 526447
  115. Mon Oct 16 11:50:25 2023 5 relations: 542901
  116. Mon Oct 16 11:50:25 2023 6 relations: 538871
  117. Mon Oct 16 11:50:25 2023 7 relations: 513841
  118. Mon Oct 16 11:50:25 2023 8 relations: 475561
  119. Mon Oct 16 11:50:25 2023 9 relations: 425625
  120. Mon Oct 16 11:50:25 2023 10+ relations: 1676713
  121. Mon Oct 16 11:50:25 2023 heaviest cycle: 22 relations
  122. Mon Oct 16 11:50:26 2023 commencing cycle optimization
  123. Mon Oct 16 11:50:32 2023 start with 43198278 relations
  124. Mon Oct 16 11:51:15 2023 pruned 1595990 relations
  125. Mon Oct 16 11:51:15 2023 memory use: 1258.4 MB
  126. Mon Oct 16 11:51:15 2023 distribution of cycle lengths:
  127. Mon Oct 16 11:51:15 2023 1 relations: 279573
  128. Mon Oct 16 11:51:15 2023 2 relations: 430996
  129. Mon Oct 16 11:51:15 2023 3 relations: 522884
  130. Mon Oct 16 11:51:15 2023 4 relations: 547419
  131. Mon Oct 16 11:51:15 2023 5 relations: 568534
  132. Mon Oct 16 11:51:15 2023 6 relations: 562702
  133. Mon Oct 16 11:51:15 2023 7 relations: 537406
  134. Mon Oct 16 11:51:15 2023 8 relations: 491839
  135. Mon Oct 16 11:51:15 2023 9 relations: 437253
  136. Mon Oct 16 11:51:15 2023 10+ relations: 1522947
  137. Mon Oct 16 11:51:15 2023 heaviest cycle: 21 relations
  138. Mon Oct 16 11:51:21 2023 RelProcTime: 814
  139. Mon Oct 16 11:51:21 2023 elapsed time 00:13:34
  140. Mon Oct 16 11:58:01 2023
  141. Mon Oct 16 11:58:01 2023
  142. Mon Oct 16 11:58:01 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  143. Mon Oct 16 11:58:01 2023 random seeds: 0b457aff 30f9c4ad
  144. Mon Oct 16 11:58:01 2023 MPI process 0 of 2
  145. Mon Oct 16 11:58:01 2023 Using 8 OpenMP threads
  146. Mon Oct 16 11:58:01 2023 factoring 21056026440253423303029862420192670344276520328884763386303403856046501884137399256198370756482604622422148477450527593049948755177013894825284954896476270916442921 (164 digits)
  147. Mon Oct 16 11:58:02 2023 no P-1/P+1/ECM available, skipping
  148. Mon Oct 16 11:58:02 2023 commencing number field sieve (164-digit input)
  149. Mon Oct 16 11:58:02 2023 R0: -30561396211094113432668896661871
  150. Mon Oct 16 11:58:02 2023 R1: 431786271806761094551
  151. Mon Oct 16 11:58:02 2023 A0: -10433500491609966175681984904938882080
  152. Mon Oct 16 11:58:02 2023 A1: -100516417425245510774272611644404
  153. Mon Oct 16 11:58:02 2023 A2: 98421857901208536322239720
  154. Mon Oct 16 11:58:02 2023 A3: 36936894037421279293
  155. Mon Oct 16 11:58:02 2023 A4: 1671145490424
  156. Mon Oct 16 11:58:02 2023 A5: 2369340
  157. Mon Oct 16 11:58:02 2023 skew 2195630.59, size 6.558e-16, alpha -6.990, combined = 8.986e-13 rroots = 3
  158. Mon Oct 16 11:58:02 2023
  159. Mon Oct 16 11:58:02 2023 commencing linear algebra
  160. Mon Oct 16 11:58:02 2023 using VBITS=256
  161. Mon Oct 16 11:58:02 2023 initialized process (0,0) of 1 x 2 grid
  162. Mon Oct 16 11:58:02 2023 read 5901553 cycles
  163. Mon Oct 16 11:58:08 2023 cycles contain 19265638 unique relations
  164. Mon Oct 16 11:58:28 2023 read 19265638 relations
  165. Mon Oct 16 11:58:30 2023 using 20 quadratic characters above 4294917295
  166. Mon Oct 16 11:58:37 2023 building initial matrix
  167. Mon Oct 16 12:00:42 2023 memory use: 2654.7 MB
  168. Mon Oct 16 12:00:44 2023 read 5901553 cycles
  169. Mon Oct 16 12:00:45 2023 matrix is 5901374 x 5901553 (2397.4 MB) with weight 739831247 (125.36/col)
  170. Mon Oct 16 12:00:45 2023 sparse part has weight 557642557 (94.49/col)
  171. Mon Oct 16 12:01:14 2023 filtering completed in 2 passes
  172. Mon Oct 16 12:01:15 2023 matrix is 5900681 x 5900859 (2397.3 MB) with weight 739799584 (125.37/col)
  173. Mon Oct 16 12:01:15 2023 sparse part has weight 557631948 (94.50/col)
  174. Mon Oct 16 12:01:22 2023 matrix starts at (0, 0)
  175. Mon Oct 16 12:01:23 2023 matrix is 5900681 x 2950427 (1198.7 MB) with weight 369896301 (125.37/col)
  176. Mon Oct 16 12:01:23 2023 sparse part has weight 278816119 (94.50/col)
  177. Mon Oct 16 12:01:23 2023 saving the first 240 matrix rows for later
  178. Mon Oct 16 12:01:23 2023 matrix includes 256 packed rows
  179. Mon Oct 16 12:01:24 2023 matrix is 5900441 x 2950427 (1090.6 MB) with weight 254862907 (86.38/col)
  180. Mon Oct 16 12:01:24 2023 sparse part has weight 238696618 (80.90/col)
  181. Mon Oct 16 12:01:24 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  182. Mon Oct 16 12:01:24 2023 selected card has CUDA arch 8.6
  183. Mon Oct 16 12:01:36 2023 commencing Lanczos iteration
  184. Mon Oct 16 12:01:36 2023 memory use: 2845.3 MB
  185. Mon Oct 16 12:01:44 2023 linear algebra at 0.5%, ETA 0h25m
  186. Mon Oct 16 12:01:56 2023 checking every 230000 dimensions, checkpointing every 14030000 dimensions
  187. Mon Oct 16 12:27:10 2023 lanczos halted after 23119 iterations (dim = 5900440)
  188. Mon Oct 16 12:27:25 2023 recovered 29 nontrivial dependencies
  189. Mon Oct 16 12:27:25 2023 BLanczosTime: 1763
  190. Mon Oct 16 12:27:25 2023 elapsed time 00:29:24
  191. Mon Oct 16 12:27:25 2023
  192. Mon Oct 16 12:27:25 2023
  193. Mon Oct 16 12:27:25 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  194. Mon Oct 16 12:27:25 2023 random seeds: 6c07a1de a608631c
  195. Mon Oct 16 12:27:25 2023 Using 16 OpenMP threads
  196. Mon Oct 16 12:27:25 2023 factoring 21056026440253423303029862420192670344276520328884763386303403856046501884137399256198370756482604622422148477450527593049948755177013894825284954896476270916442921 (164 digits)
  197. Mon Oct 16 12:27:25 2023 no P-1/P+1/ECM available, skipping
  198. Mon Oct 16 12:27:25 2023 commencing number field sieve (164-digit input)
  199. Mon Oct 16 12:27:25 2023 R0: -30561396211094113432668896661871
  200. Mon Oct 16 12:27:25 2023 R1: 431786271806761094551
  201. Mon Oct 16 12:27:25 2023 A0: -10433500491609966175681984904938882080
  202. Mon Oct 16 12:27:25 2023 A1: -100516417425245510774272611644404
  203. Mon Oct 16 12:27:25 2023 A2: 98421857901208536322239720
  204. Mon Oct 16 12:27:25 2023 A3: 36936894037421279293
  205. Mon Oct 16 12:27:25 2023 A4: 1671145490424
  206. Mon Oct 16 12:27:25 2023 A5: 2369340
  207. Mon Oct 16 12:27:25 2023 skew 2195630.59, size 6.558e-16, alpha -6.990, combined = 8.986e-13 rroots = 3
  208. Mon Oct 16 12:27:25 2023
  209. Mon Oct 16 12:27:25 2023 commencing square root phase
  210. Mon Oct 16 12:27:25 2023 reading relations for dependency 1
  211. Mon Oct 16 12:27:26 2023 read 2950927 cycles
  212. Mon Oct 16 12:27:29 2023 cycles contain 9636392 unique relations
  213. Mon Oct 16 12:27:38 2023 read 9636392 relations
  214. Mon Oct 16 12:28:00 2023 multiplying 9636392 relations
  215. Mon Oct 16 12:28:54 2023 multiply complete, coefficients have about 549.56 million bits
  216. Mon Oct 16 12:28:55 2023 initial square root is modulo 85223
  217. Mon Oct 16 12:30:41 2023 GCD is 1, no factor found
  218. Mon Oct 16 12:30:41 2023 reading relations for dependency 2
  219. Mon Oct 16 12:30:41 2023 read 2949321 cycles
  220. Mon Oct 16 12:30:44 2023 cycles contain 9629120 unique relations
  221. Mon Oct 16 12:30:52 2023 read 9629120 relations
  222. Mon Oct 16 12:31:14 2023 multiplying 9629120 relations
  223. Mon Oct 16 12:32:08 2023 multiply complete, coefficients have about 549.14 million bits
  224. Mon Oct 16 12:32:08 2023 initial square root is modulo 84457
  225. Mon Oct 16 12:33:54 2023 found factor: 9726174037155928439880218329918699
  226. Mon Oct 16 12:33:54 2023 reading relations for dependency 3
  227. Mon Oct 16 12:33:54 2023 read 2950334 cycles
  228. Mon Oct 16 12:33:57 2023 cycles contain 9631162 unique relations
  229. Mon Oct 16 12:34:06 2023 read 9631162 relations
  230. Mon Oct 16 12:34:28 2023 multiplying 9631162 relations
  231. Mon Oct 16 12:35:22 2023 multiply complete, coefficients have about 549.26 million bits
  232. Mon Oct 16 12:35:23 2023 initial square root is modulo 84701
  233. Mon Oct 16 12:37:08 2023 sqrtTime: 583
  234. Mon Oct 16 12:37:08 2023 p28 factor: 1182814640631210245291776579
  235. Mon Oct 16 12:37:08 2023 p34 factor: 9726174037155928439880218329918699
  236. Mon Oct 16 12:37:08 2023 p103 factor: 1830280654405372786887083712769120404349238209419394237198265040552690666089530451627275584432280588201
  237. Mon Oct 16 12:37:08 2023 elapsed time 00:09:43
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