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Sep 3rd, 2023
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  1. Sun Sep 3 14:53:45 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Sun Sep 3 14:53:45 2023 random seeds: 5ee359ec 2d19392c
  3. Sun Sep 3 14:53:45 2023 Using 16 OpenMP threads
  4. Sun Sep 3 14:53:45 2023 factoring 74785051730500620003212101379788458072243415698728836995963399131110481223209266479845454151563665114216132702578919187259795338639396459772314745425646154237 (158 digits)
  5. Sun Sep 3 14:53:46 2023 no P-1/P+1/ECM available, skipping
  6. Sun Sep 3 14:53:46 2023 commencing number field sieve (158-digit input)
  7. Sun Sep 3 14:53:46 2023 R0: -5688551664551613233014239323573
  8. Sun Sep 3 14:53:46 2023 R1: 162332284492796147079853
  9. Sun Sep 3 14:53:46 2023 A0: 2924742458844307601971141113893251824
  10. Sun Sep 3 14:53:46 2023 A1: 4965381594394799521564061483254
  11. Sun Sep 3 14:53:46 2023 A2: -1819484994120631938912731
  12. Sun Sep 3 14:53:46 2023 A3: -5687932448685097331
  13. Sun Sep 3 14:53:46 2023 A4: 275072204820
  14. Sun Sep 3 14:53:46 2023 A5: 47040
  15. Sun Sep 3 14:53:46 2023 skew 3453429.72, size 3.195e-15, alpha -6.832, combined = 2.328e-12 rroots = 3
  16. Sun Sep 3 14:53:46 2023
  17. Sun Sep 3 14:53:46 2023 commencing relation filtering
  18. Sun Sep 3 14:53:46 2023 setting target matrix density to 110.0
  19. Sun Sep 3 14:53:46 2023 estimated available RAM is 128734.9 MB
  20. Sun Sep 3 14:53:46 2023 commencing duplicate removal, pass 1
  21. Sun Sep 3 14:55:21 2023 found 5613694 hash collisions in 113654430 relations
  22. Sun Sep 3 14:55:36 2023 added 121589 free relations
  23. Sun Sep 3 14:55:36 2023 commencing duplicate removal, pass 2
  24. Sun Sep 3 14:55:58 2023 found 0 duplicates and 113776019 unique relations
  25. Sun Sep 3 14:55:58 2023 memory use: 394.4 MB
  26. Sun Sep 3 14:55:58 2023 reading ideals above 720000
  27. Sun Sep 3 14:55:59 2023 commencing singleton removal, initial pass
  28. Sun Sep 3 14:59:03 2023 memory use: 2756.0 MB
  29. Sun Sep 3 14:59:03 2023 reading all ideals from disk
  30. Sun Sep 3 14:59:05 2023 memory use: 5025.1 MB
  31. Sun Sep 3 14:59:09 2023 keeping 93046952 ideals with weight <= 200, target excess is 601998
  32. Sun Sep 3 14:59:15 2023 commencing in-memory singleton removal
  33. Sun Sep 3 14:59:16 2023 begin with 113776019 relations and 93046952 unique ideals
  34. Sun Sep 3 14:59:25 2023 reduce to 90096890 relations and 68473169 ideals in 13 passes
  35. Sun Sep 3 14:59:25 2023 max relations containing the same ideal: 180
  36. Sun Sep 3 14:59:42 2023 removing 9700653 relations and 7700653 ideals in 2000000 cliques
  37. Sun Sep 3 14:59:44 2023 commencing in-memory singleton removal
  38. Sun Sep 3 14:59:45 2023 begin with 80396237 relations and 68473169 unique ideals
  39. Sun Sep 3 14:59:49 2023 reduce to 79623329 relations and 59978032 ideals in 8 passes
  40. Sun Sep 3 14:59:49 2023 max relations containing the same ideal: 166
  41. Sun Sep 3 15:00:03 2023 removing 7443128 relations and 5443128 ideals in 2000000 cliques
  42. Sun Sep 3 15:00:05 2023 commencing in-memory singleton removal
  43. Sun Sep 3 15:00:06 2023 begin with 72180201 relations and 59978032 unique ideals
  44. Sun Sep 3 15:00:09 2023 reduce to 71649595 relations and 53990994 ideals in 8 passes
  45. Sun Sep 3 15:00:09 2023 max relations containing the same ideal: 153
  46. Sun Sep 3 15:00:22 2023 removing 6809160 relations and 4809160 ideals in 2000000 cliques
  47. Sun Sep 3 15:00:24 2023 commencing in-memory singleton removal
  48. Sun Sep 3 15:00:25 2023 begin with 64840435 relations and 53990994 unique ideals
  49. Sun Sep 3 15:00:27 2023 reduce to 64369022 relations and 48698112 ideals in 7 passes
  50. Sun Sep 3 15:00:27 2023 max relations containing the same ideal: 147
  51. Sun Sep 3 15:00:39 2023 removing 6484919 relations and 4484919 ideals in 2000000 cliques
  52. Sun Sep 3 15:00:40 2023 commencing in-memory singleton removal
  53. Sun Sep 3 15:00:41 2023 begin with 57884103 relations and 48698112 unique ideals
  54. Sun Sep 3 15:00:43 2023 reduce to 57432766 relations and 43749058 ideals in 7 passes
  55. Sun Sep 3 15:00:43 2023 max relations containing the same ideal: 136
  56. Sun Sep 3 15:00:54 2023 removing 6271718 relations and 4271718 ideals in 2000000 cliques
  57. Sun Sep 3 15:00:55 2023 commencing in-memory singleton removal
  58. Sun Sep 3 15:00:56 2023 begin with 51161048 relations and 43749058 unique ideals
  59. Sun Sep 3 15:00:58 2023 reduce to 50708173 relations and 39010452 ideals in 7 passes
  60. Sun Sep 3 15:00:58 2023 max relations containing the same ideal: 123
  61. Sun Sep 3 15:01:07 2023 removing 6134391 relations and 4134391 ideals in 2000000 cliques
  62. Sun Sep 3 15:01:09 2023 commencing in-memory singleton removal
  63. Sun Sep 3 15:01:09 2023 begin with 44573782 relations and 39010452 unique ideals
  64. Sun Sep 3 15:01:11 2023 reduce to 44104699 relations and 34390538 ideals in 7 passes
  65. Sun Sep 3 15:01:11 2023 max relations containing the same ideal: 112
  66. Sun Sep 3 15:01:19 2023 removing 6035286 relations and 4035286 ideals in 2000000 cliques
  67. Sun Sep 3 15:01:20 2023 commencing in-memory singleton removal
  68. Sun Sep 3 15:01:21 2023 begin with 38069413 relations and 34390538 unique ideals
  69. Sun Sep 3 15:01:22 2023 reduce to 37564800 relations and 29830734 ideals in 8 passes
  70. Sun Sep 3 15:01:22 2023 max relations containing the same ideal: 103
  71. Sun Sep 3 15:01:30 2023 removing 5967588 relations and 3967588 ideals in 2000000 cliques
  72. Sun Sep 3 15:01:31 2023 commencing in-memory singleton removal
  73. Sun Sep 3 15:01:31 2023 begin with 31597212 relations and 29830734 unique ideals
  74. Sun Sep 3 15:01:32 2023 reduce to 31034289 relations and 25274552 ideals in 7 passes
  75. Sun Sep 3 15:01:32 2023 max relations containing the same ideal: 96
  76. Sun Sep 3 15:01:38 2023 removing 5926933 relations and 3926933 ideals in 2000000 cliques
  77. Sun Sep 3 15:01:40 2023 commencing in-memory singleton removal
  78. Sun Sep 3 15:01:40 2023 begin with 25107356 relations and 25274552 unique ideals
  79. Sun Sep 3 15:01:41 2023 reduce to 24455665 relations and 20659457 ideals in 7 passes
  80. Sun Sep 3 15:01:41 2023 max relations containing the same ideal: 79
  81. Sun Sep 3 15:01:46 2023 removing 5895324 relations and 3895324 ideals in 2000000 cliques
  82. Sun Sep 3 15:01:47 2023 commencing in-memory singleton removal
  83. Sun Sep 3 15:01:47 2023 begin with 18560341 relations and 20659457 unique ideals
  84. Sun Sep 3 15:01:48 2023 reduce to 17753517 relations and 15900404 ideals in 9 passes
  85. Sun Sep 3 15:01:48 2023 max relations containing the same ideal: 65
  86. Sun Sep 3 15:01:51 2023 removing 3738971 relations and 2584176 ideals in 1154796 cliques
  87. Sun Sep 3 15:01:52 2023 commencing in-memory singleton removal
  88. Sun Sep 3 15:01:52 2023 begin with 14014546 relations and 15900404 unique ideals
  89. Sun Sep 3 15:01:53 2023 reduce to 13520734 relations and 12793330 ideals in 9 passes
  90. Sun Sep 3 15:01:53 2023 max relations containing the same ideal: 58
  91. Sun Sep 3 15:01:56 2023 removing 181701 relations and 152615 ideals in 29086 cliques
  92. Sun Sep 3 15:01:56 2023 commencing in-memory singleton removal
  93. Sun Sep 3 15:01:56 2023 begin with 13339033 relations and 12793330 unique ideals
  94. Sun Sep 3 15:01:57 2023 reduce to 13337554 relations and 12639232 ideals in 6 passes
  95. Sun Sep 3 15:01:57 2023 max relations containing the same ideal: 56
  96. Sun Sep 3 15:01:58 2023 relations with 0 large ideals: 2001
  97. Sun Sep 3 15:01:58 2023 relations with 1 large ideals: 19454
  98. Sun Sep 3 15:01:58 2023 relations with 2 large ideals: 233154
  99. Sun Sep 3 15:01:58 2023 relations with 3 large ideals: 1131970
  100. Sun Sep 3 15:01:58 2023 relations with 4 large ideals: 2771352
  101. Sun Sep 3 15:01:58 2023 relations with 5 large ideals: 3815671
  102. Sun Sep 3 15:01:58 2023 relations with 6 large ideals: 3173104
  103. Sun Sep 3 15:01:58 2023 relations with 7+ large ideals: 2190848
  104. Sun Sep 3 15:01:58 2023 commencing 2-way merge
  105. Sun Sep 3 15:02:01 2023 reduce to 8327082 relation sets and 7628760 unique ideals
  106. Sun Sep 3 15:02:01 2023 commencing full merge
  107. Sun Sep 3 15:03:28 2023 memory use: 983.0 MB
  108. Sun Sep 3 15:03:29 2023 found 3954491 cycles, need 3870960
  109. Sun Sep 3 15:03:30 2023 weight of 3870960 cycles is about 425932697 (110.03/cycle)
  110. Sun Sep 3 15:03:30 2023 distribution of cycle lengths:
  111. Sun Sep 3 15:03:30 2023 1 relations: 138275
  112. Sun Sep 3 15:03:30 2023 2 relations: 241532
  113. Sun Sep 3 15:03:30 2023 3 relations: 293675
  114. Sun Sep 3 15:03:30 2023 4 relations: 312758
  115. Sun Sep 3 15:03:30 2023 5 relations: 327122
  116. Sun Sep 3 15:03:30 2023 6 relations: 326712
  117. Sun Sep 3 15:03:30 2023 7 relations: 321376
  118. Sun Sep 3 15:03:30 2023 8 relations: 300341
  119. Sun Sep 3 15:03:30 2023 9 relations: 276410
  120. Sun Sep 3 15:03:30 2023 10+ relations: 1332759
  121. Sun Sep 3 15:03:30 2023 heaviest cycle: 24 relations
  122. Sun Sep 3 15:03:30 2023 commencing cycle optimization
  123. Sun Sep 3 15:03:34 2023 start with 31250980 relations
  124. Sun Sep 3 15:04:09 2023 pruned 1330080 relations
  125. Sun Sep 3 15:04:09 2023 memory use: 869.4 MB
  126. Sun Sep 3 15:04:09 2023 distribution of cycle lengths:
  127. Sun Sep 3 15:04:09 2023 1 relations: 138275
  128. Sun Sep 3 15:04:09 2023 2 relations: 248164
  129. Sun Sep 3 15:04:09 2023 3 relations: 306534
  130. Sun Sep 3 15:04:09 2023 4 relations: 326611
  131. Sun Sep 3 15:04:09 2023 5 relations: 344473
  132. Sun Sep 3 15:04:09 2023 6 relations: 343894
  133. Sun Sep 3 15:04:09 2023 7 relations: 337889
  134. Sun Sep 3 15:04:09 2023 8 relations: 314587
  135. Sun Sep 3 15:04:09 2023 9 relations: 287828
  136. Sun Sep 3 15:04:09 2023 10+ relations: 1222705
  137. Sun Sep 3 15:04:09 2023 heaviest cycle: 23 relations
  138. Sun Sep 3 15:04:13 2023 RelProcTime: 627
  139. Sun Sep 3 15:04:13 2023 elapsed time 00:10:28
  140. Sun Sep 3 15:04:29 2023
  141. Sun Sep 3 15:04:29 2023
  142. Sun Sep 3 15:04:29 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  143. Sun Sep 3 15:04:29 2023 random seeds: 823994a3 8a0d175d
  144. Sun Sep 3 15:04:29 2023 MPI process 0 of 2
  145. Sun Sep 3 15:04:29 2023 Using 8 OpenMP threads
  146. Sun Sep 3 15:04:29 2023 factoring 74785051730500620003212101379788458072243415698728836995963399131110481223209266479845454151563665114216132702578919187259795338639396459772314745425646154237 (158 digits)
  147. Sun Sep 3 15:04:30 2023 no P-1/P+1/ECM available, skipping
  148. Sun Sep 3 15:04:30 2023 commencing number field sieve (158-digit input)
  149. Sun Sep 3 15:04:30 2023 R0: -5688551664551613233014239323573
  150. Sun Sep 3 15:04:30 2023 R1: 162332284492796147079853
  151. Sun Sep 3 15:04:30 2023 A0: 2924742458844307601971141113893251824
  152. Sun Sep 3 15:04:30 2023 A1: 4965381594394799521564061483254
  153. Sun Sep 3 15:04:30 2023 A2: -1819484994120631938912731
  154. Sun Sep 3 15:04:30 2023 A3: -5687932448685097331
  155. Sun Sep 3 15:04:30 2023 A4: 275072204820
  156. Sun Sep 3 15:04:30 2023 A5: 47040
  157. Sun Sep 3 15:04:30 2023 skew 3453429.72, size 3.195e-15, alpha -6.832, combined = 2.328e-12 rroots = 3
  158. Sun Sep 3 15:04:30 2023
  159. Sun Sep 3 15:04:30 2023 commencing linear algebra
  160. Sun Sep 3 15:04:30 2023 using VBITS=256
  161. Sun Sep 3 15:04:30 2023 initialized process (0,0) of 1 x 2 grid
  162. Sun Sep 3 15:04:30 2023 read 3870960 cycles
  163. Sun Sep 3 15:04:34 2023 cycles contain 12968960 unique relations
  164. Sun Sep 3 15:04:49 2023 read 12968960 relations
  165. Sun Sep 3 15:04:51 2023 using 20 quadratic characters above 4294917295
  166. Sun Sep 3 15:04:56 2023 building initial matrix
  167. Sun Sep 3 15:06:16 2023 memory use: 1782.7 MB
  168. Sun Sep 3 15:06:18 2023 read 3870960 cycles
  169. Sun Sep 3 15:06:18 2023 matrix is 3870781 x 3870960 (1681.2 MB) with weight 520572100 (134.48/col)
  170. Sun Sep 3 15:06:18 2023 sparse part has weight 398125620 (102.85/col)
  171. Sun Sep 3 15:06:37 2023 filtering completed in 2 passes
  172. Sun Sep 3 15:06:38 2023 matrix is 3870412 x 3870590 (1681.1 MB) with weight 520551072 (134.49/col)
  173. Sun Sep 3 15:06:38 2023 sparse part has weight 398116601 (102.86/col)
  174. Sun Sep 3 15:06:43 2023 matrix starts at (0, 0)
  175. Sun Sep 3 15:06:43 2023 matrix is 3870412 x 1935282 (840.6 MB) with weight 260271002 (134.49/col)
  176. Sun Sep 3 15:06:43 2023 sparse part has weight 199058482 (102.86/col)
  177. Sun Sep 3 15:06:43 2023 saving the first 240 matrix rows for later
  178. Sun Sep 3 15:06:43 2023 matrix includes 256 packed rows
  179. Sun Sep 3 15:06:44 2023 matrix is 3870172 x 1935282 (759.4 MB) with weight 180323871 (93.18/col)
  180. Sun Sep 3 15:06:44 2023 sparse part has weight 168115155 (86.87/col)
  181. Sun Sep 3 15:06:44 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  182. Sun Sep 3 15:06:44 2023 selected card has CUDA arch 8.6
  183. Sun Sep 3 15:06:51 2023 commencing Lanczos iteration
  184. Sun Sep 3 15:06:52 2023 memory use: 1954.4 MB
  185. Sun Sep 3 15:06:57 2023 linear algebra at 0.8%, ETA 0h10m
  186. Sun Sep 3 15:07:05 2023 checking every 350000 dimensions, checkpointing every 21350000 dimensions
  187. Sun Sep 3 15:18:16 2023 lanczos halted after 15164 iterations (dim = 3870171)
  188. Sun Sep 3 15:18:26 2023 recovered 30 nontrivial dependencies
  189. Sun Sep 3 15:18:26 2023 BLanczosTime: 836
  190. Sun Sep 3 15:18:26 2023 elapsed time 00:13:57
  191. Sun Sep 3 15:18:27 2023
  192. Sun Sep 3 15:18:27 2023
  193. Sun Sep 3 15:18:27 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  194. Sun Sep 3 15:18:27 2023 random seeds: 4fe61b2c 3cb997b2
  195. Sun Sep 3 15:18:27 2023 Using 16 OpenMP threads
  196. Sun Sep 3 15:18:27 2023 factoring 74785051730500620003212101379788458072243415698728836995963399131110481223209266479845454151563665114216132702578919187259795338639396459772314745425646154237 (158 digits)
  197. Sun Sep 3 15:18:27 2023 no P-1/P+1/ECM available, skipping
  198. Sun Sep 3 15:18:27 2023 commencing number field sieve (158-digit input)
  199. Sun Sep 3 15:18:27 2023 R0: -5688551664551613233014239323573
  200. Sun Sep 3 15:18:27 2023 R1: 162332284492796147079853
  201. Sun Sep 3 15:18:27 2023 A0: 2924742458844307601971141113893251824
  202. Sun Sep 3 15:18:27 2023 A1: 4965381594394799521564061483254
  203. Sun Sep 3 15:18:27 2023 A2: -1819484994120631938912731
  204. Sun Sep 3 15:18:27 2023 A3: -5687932448685097331
  205. Sun Sep 3 15:18:27 2023 A4: 275072204820
  206. Sun Sep 3 15:18:27 2023 A5: 47040
  207. Sun Sep 3 15:18:27 2023 skew 3453429.72, size 3.195e-15, alpha -6.832, combined = 2.328e-12 rroots = 3
  208. Sun Sep 3 15:18:27 2023
  209. Sun Sep 3 15:18:27 2023 commencing square root phase
  210. Sun Sep 3 15:18:27 2023 reading relations for dependency 1
  211. Sun Sep 3 15:18:27 2023 read 1936240 cycles
  212. Sun Sep 3 15:18:29 2023 cycles contain 6486104 unique relations
  213. Sun Sep 3 15:18:38 2023 read 6486104 relations
  214. Sun Sep 3 15:18:51 2023 multiplying 6486104 relations
  215. Sun Sep 3 15:19:24 2023 multiply complete, coefficients have about 335.60 million bits
  216. Sun Sep 3 15:19:24 2023 initial square root is modulo 1051319
  217. Sun Sep 3 15:20:27 2023 GCD is N, no factor found
  218. Sun Sep 3 15:20:27 2023 reading relations for dependency 2
  219. Sun Sep 3 15:20:27 2023 read 1935007 cycles
  220. Sun Sep 3 15:20:29 2023 cycles contain 6485012 unique relations
  221. Sun Sep 3 15:20:35 2023 read 6485012 relations
  222. Sun Sep 3 15:20:49 2023 multiplying 6485012 relations
  223. Sun Sep 3 15:21:20 2023 multiply complete, coefficients have about 335.54 million bits
  224. Sun Sep 3 15:21:21 2023 initial square root is modulo 1049051
  225. Sun Sep 3 15:22:24 2023 GCD is N, no factor found
  226. Sun Sep 3 15:22:24 2023 reading relations for dependency 3
  227. Sun Sep 3 15:22:24 2023 read 1935199 cycles
  228. Sun Sep 3 15:22:26 2023 cycles contain 6481416 unique relations
  229. Sun Sep 3 15:22:32 2023 read 6481416 relations
  230. Sun Sep 3 15:22:45 2023 multiplying 6481416 relations
  231. Sun Sep 3 15:23:16 2023 multiply complete, coefficients have about 335.35 million bits
  232. Sun Sep 3 15:23:17 2023 initial square root is modulo 1040579
  233. Sun Sep 3 15:24:17 2023 sqrtTime: 350
  234. Sun Sep 3 15:24:17 2023 p77 factor: 70265447058701932923852405940996739115628675564719864665955383034222905669707
  235. Sun Sep 3 15:24:17 2023 p82 factor: 1064321866023607153804983083945856612876732564581146093275941844263221155029688791
  236. Sun Sep 3 15:24:17 2023 elapsed time 00:05:50
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