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Aug 13th, 2023
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  1. Mon Aug 7 07:53:21 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Mon Aug 7 07:53:21 2023 random seeds: 891ab0c2 5b45baba
  3. Mon Aug 7 07:53:21 2023 Using 16 OpenMP threads
  4. Mon Aug 7 07:53:21 2023 factoring 84379012733341655752194759479204124036452490115003283015498857969111615472754206124383829198672354618964958111810595977187971849925667111349620064348331901402511 (161 digits)
  5. Mon Aug 7 07:53:21 2023 no P-1/P+1/ECM available, skipping
  6. Mon Aug 7 07:53:22 2023 commencing number field sieve (161-digit input)
  7. Mon Aug 7 07:53:22 2023 R0: -11046045345421792208987446227893
  8. Mon Aug 7 07:53:22 2023 R1: 1401886576457065905506707
  9. Mon Aug 7 07:53:22 2023 A0: 1731178276769960898800908816575887328
  10. Mon Aug 7 07:53:22 2023 A1: 2719997884611152995512984390102
  11. Mon Aug 7 07:53:22 2023 A2: -7074180757379544086245846
  12. Mon Aug 7 07:53:22 2023 A3: -1217205765425110456
  13. Mon Aug 7 07:53:22 2023 A4: 3597123210017
  14. Mon Aug 7 07:53:22 2023 A5: 89880
  15. Mon Aug 7 07:53:22 2023 skew 1510620.44, size 1.306e-15, alpha -5.124, combined = 1.349e-12 rroots = 5
  16. Mon Aug 7 07:53:22 2023
  17. Mon Aug 7 07:53:22 2023 commencing relation filtering
  18. Mon Aug 7 07:53:22 2023 setting target matrix density to 100.0
  19. Mon Aug 7 07:53:22 2023 estimated available RAM is 64223.0 MB
  20. Mon Aug 7 07:53:22 2023 commencing duplicate removal, pass 1
  21. Mon Aug 7 07:54:44 2023 found 5870635 hash collisions in 116312056 relations
  22. Mon Aug 7 07:54:59 2023 added 121675 free relations
  23. Mon Aug 7 07:54:59 2023 commencing duplicate removal, pass 2
  24. Mon Aug 7 07:55:20 2023 found 0 duplicates and 116433731 unique relations
  25. Mon Aug 7 07:55:20 2023 memory use: 394.4 MB
  26. Mon Aug 7 07:55:20 2023 reading ideals above 720000
  27. Mon Aug 7 07:55:20 2023 commencing singleton removal, initial pass
  28. Mon Aug 7 07:58:26 2023 memory use: 2756.0 MB
  29. Mon Aug 7 07:58:26 2023 reading all ideals from disk
  30. Mon Aug 7 07:58:27 2023 memory use: 5195.8 MB
  31. Mon Aug 7 07:58:31 2023 keeping 95186180 ideals with weight <= 200, target excess is 630729
  32. Mon Aug 7 07:58:36 2023 commencing in-memory singleton removal
  33. Mon Aug 7 07:58:38 2023 begin with 116433731 relations and 95186180 unique ideals
  34. Mon Aug 7 07:58:47 2023 reduce to 93123605 relations and 71041357 ideals in 13 passes
  35. Mon Aug 7 07:58:47 2023 max relations containing the same ideal: 180
  36. Mon Aug 7 07:59:03 2023 removing 9643710 relations and 7643710 ideals in 2000000 cliques
  37. Mon Aug 7 07:59:05 2023 commencing in-memory singleton removal
  38. Mon Aug 7 07:59:06 2023 begin with 83479895 relations and 71041357 unique ideals
  39. Mon Aug 7 07:59:12 2023 reduce to 82751255 relations and 62649672 ideals in 10 passes
  40. Mon Aug 7 07:59:12 2023 max relations containing the same ideal: 169
  41. Mon Aug 7 07:59:26 2023 removing 7423588 relations and 5423588 ideals in 2000000 cliques
  42. Mon Aug 7 07:59:28 2023 commencing in-memory singleton removal
  43. Mon Aug 7 07:59:29 2023 begin with 75327667 relations and 62649672 unique ideals
  44. Mon Aug 7 07:59:33 2023 reduce to 74824143 relations and 56710373 ideals in 8 passes
  45. Mon Aug 7 07:59:33 2023 max relations containing the same ideal: 159
  46. Mon Aug 7 07:59:46 2023 removing 6797491 relations and 4797491 ideals in 2000000 cliques
  47. Mon Aug 7 07:59:48 2023 commencing in-memory singleton removal
  48. Mon Aug 7 07:59:49 2023 begin with 68026652 relations and 56710373 unique ideals
  49. Mon Aug 7 07:59:52 2023 reduce to 67578628 relations and 51453545 ideals in 7 passes
  50. Mon Aug 7 07:59:52 2023 max relations containing the same ideal: 146
  51. Mon Aug 7 08:00:04 2023 removing 6477168 relations and 4477168 ideals in 2000000 cliques
  52. Mon Aug 7 08:00:06 2023 commencing in-memory singleton removal
  53. Mon Aug 7 08:00:06 2023 begin with 61101460 relations and 51453545 unique ideals
  54. Mon Aug 7 08:00:09 2023 reduce to 60673503 relations and 46536877 ideals in 7 passes
  55. Mon Aug 7 08:00:09 2023 max relations containing the same ideal: 136
  56. Mon Aug 7 08:00:20 2023 removing 6277671 relations and 4277671 ideals in 2000000 cliques
  57. Mon Aug 7 08:00:22 2023 commencing in-memory singleton removal
  58. Mon Aug 7 08:00:22 2023 begin with 54395832 relations and 46536877 unique ideals
  59. Mon Aug 7 08:00:25 2023 reduce to 53966802 relations and 41817549 ideals in 7 passes
  60. Mon Aug 7 08:00:25 2023 max relations containing the same ideal: 129
  61. Mon Aug 7 08:00:34 2023 removing 6141208 relations and 4141208 ideals in 2000000 cliques
  62. Mon Aug 7 08:00:36 2023 commencing in-memory singleton removal
  63. Mon Aug 7 08:00:36 2023 begin with 47825594 relations and 41817549 unique ideals
  64. Mon Aug 7 08:00:39 2023 reduce to 47384750 relations and 37221152 ideals in 8 passes
  65. Mon Aug 7 08:00:39 2023 max relations containing the same ideal: 118
  66. Mon Aug 7 08:00:47 2023 removing 6041758 relations and 4041758 ideals in 2000000 cliques
  67. Mon Aug 7 08:00:49 2023 commencing in-memory singleton removal
  68. Mon Aug 7 08:00:49 2023 begin with 41342992 relations and 37221152 unique ideals
  69. Mon Aug 7 08:00:51 2023 reduce to 40872663 relations and 32691936 ideals in 8 passes
  70. Mon Aug 7 08:00:51 2023 max relations containing the same ideal: 103
  71. Mon Aug 7 08:00:59 2023 removing 5975379 relations and 3975379 ideals in 2000000 cliques
  72. Mon Aug 7 08:01:00 2023 commencing in-memory singleton removal
  73. Mon Aug 7 08:01:01 2023 begin with 34897284 relations and 32691936 unique ideals
  74. Mon Aug 7 08:01:02 2023 reduce to 34383983 relations and 28181712 ideals in 8 passes
  75. Mon Aug 7 08:01:02 2023 max relations containing the same ideal: 93
  76. Mon Aug 7 08:01:09 2023 removing 5925136 relations and 3925136 ideals in 2000000 cliques
  77. Mon Aug 7 08:01:10 2023 commencing in-memory singleton removal
  78. Mon Aug 7 08:01:10 2023 begin with 28458847 relations and 28181712 unique ideals
  79. Mon Aug 7 08:01:12 2023 reduce to 27878985 relations and 23647993 ideals in 8 passes
  80. Mon Aug 7 08:01:12 2023 max relations containing the same ideal: 83
  81. Mon Aug 7 08:01:17 2023 removing 5881043 relations and 3881043 ideals in 2000000 cliques
  82. Mon Aug 7 08:01:18 2023 commencing in-memory singleton removal
  83. Mon Aug 7 08:01:18 2023 begin with 21997942 relations and 23647993 unique ideals
  84. Mon Aug 7 08:01:19 2023 reduce to 21310992 relations and 19038297 ideals in 8 passes
  85. Mon Aug 7 08:01:19 2023 max relations containing the same ideal: 72
  86. Mon Aug 7 08:01:24 2023 removing 4701025 relations and 3159976 ideals in 1541049 cliques
  87. Mon Aug 7 08:01:25 2023 commencing in-memory singleton removal
  88. Mon Aug 7 08:01:25 2023 begin with 16609967 relations and 19038297 unique ideals
  89. Mon Aug 7 08:01:26 2023 reduce to 15999868 relations and 15229712 ideals in 8 passes
  90. Mon Aug 7 08:01:26 2023 max relations containing the same ideal: 57
  91. Mon Aug 7 08:01:29 2023 removing 232015 relations and 193505 ideals in 38510 cliques
  92. Mon Aug 7 08:01:29 2023 commencing in-memory singleton removal
  93. Mon Aug 7 08:01:30 2023 begin with 15767853 relations and 15229712 unique ideals
  94. Mon Aug 7 08:01:30 2023 reduce to 15765680 relations and 15034028 ideals in 5 passes
  95. Mon Aug 7 08:01:30 2023 max relations containing the same ideal: 57
  96. Mon Aug 7 08:01:31 2023 relations with 0 large ideals: 2097
  97. Mon Aug 7 08:01:31 2023 relations with 1 large ideals: 20457
  98. Mon Aug 7 08:01:31 2023 relations with 2 large ideals: 249355
  99. Mon Aug 7 08:01:31 2023 relations with 3 large ideals: 1224160
  100. Mon Aug 7 08:01:31 2023 relations with 4 large ideals: 3077258
  101. Mon Aug 7 08:01:31 2023 relations with 5 large ideals: 4413938
  102. Mon Aug 7 08:01:31 2023 relations with 6 large ideals: 3862323
  103. Mon Aug 7 08:01:31 2023 relations with 7+ large ideals: 2916092
  104. Mon Aug 7 08:01:31 2023 commencing 2-way merge
  105. Mon Aug 7 08:01:35 2023 reduce to 10055434 relation sets and 9323782 unique ideals
  106. Mon Aug 7 08:01:35 2023 commencing full merge
  107. Mon Aug 7 08:03:06 2023 memory use: 1138.2 MB
  108. Mon Aug 7 08:03:06 2023 found 4879774 cycles, need 4783982
  109. Mon Aug 7 08:03:07 2023 weight of 4783982 cycles is about 479021498 (100.13/cycle)
  110. Mon Aug 7 08:03:07 2023 distribution of cycle lengths:
  111. Mon Aug 7 08:03:07 2023 1 relations: 219934
  112. Mon Aug 7 08:03:07 2023 2 relations: 339327
  113. Mon Aug 7 08:03:07 2023 3 relations: 416223
  114. Mon Aug 7 08:03:07 2023 4 relations: 439951
  115. Mon Aug 7 08:03:07 2023 5 relations: 458908
  116. Mon Aug 7 08:03:07 2023 6 relations: 449472
  117. Mon Aug 7 08:03:07 2023 7 relations: 425018
  118. Mon Aug 7 08:03:07 2023 8 relations: 385375
  119. Mon Aug 7 08:03:07 2023 9 relations: 339074
  120. Mon Aug 7 08:03:07 2023 10+ relations: 1310700
  121. Mon Aug 7 08:03:07 2023 heaviest cycle: 22 relations
  122. Mon Aug 7 08:03:08 2023 commencing cycle optimization
  123. Mon Aug 7 08:03:13 2023 start with 34688985 relations
  124. Mon Aug 7 08:03:48 2023 pruned 1348830 relations
  125. Mon Aug 7 08:03:48 2023 memory use: 1007.2 MB
  126. Mon Aug 7 08:03:48 2023 distribution of cycle lengths:
  127. Mon Aug 7 08:03:48 2023 1 relations: 219934
  128. Mon Aug 7 08:03:48 2023 2 relations: 348420
  129. Mon Aug 7 08:03:48 2023 3 relations: 434797
  130. Mon Aug 7 08:03:48 2023 4 relations: 459447
  131. Mon Aug 7 08:03:48 2023 5 relations: 482143
  132. Mon Aug 7 08:03:48 2023 6 relations: 470627
  133. Mon Aug 7 08:03:48 2023 7 relations: 444247
  134. Mon Aug 7 08:03:48 2023 8 relations: 397643
  135. Mon Aug 7 08:03:48 2023 9 relations: 346660
  136. Mon Aug 7 08:03:48 2023 10+ relations: 1180064
  137. Mon Aug 7 08:03:48 2023 heaviest cycle: 21 relations
  138. Mon Aug 7 08:03:53 2023 RelProcTime: 631
  139. Mon Aug 7 08:03:53 2023 elapsed time 00:10:32
  140. Mon Aug 7 08:10:51 2023
  141. Mon Aug 7 08:10:51 2023
  142. Mon Aug 7 08:10:51 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  143. Mon Aug 7 08:10:51 2023 random seeds: 7c5e1a11 43606665
  144. Mon Aug 7 08:10:51 2023 MPI process 0 of 2
  145. Mon Aug 7 08:10:51 2023 Using 8 OpenMP threads
  146. Mon Aug 7 08:10:51 2023 factoring 84379012733341655752194759479204124036452490115003283015498857969111615472754206124383829198672354618964958111810595977187971849925667111349620064348331901402511 (161 digits)
  147. Mon Aug 7 08:10:51 2023 no P-1/P+1/ECM available, skipping
  148. Mon Aug 7 08:10:51 2023 commencing number field sieve (161-digit input)
  149. Mon Aug 7 08:10:51 2023 R0: -11046045345421792208987446227893
  150. Mon Aug 7 08:10:51 2023 R1: 1401886576457065905506707
  151. Mon Aug 7 08:10:51 2023 A0: 1731178276769960898800908816575887328
  152. Mon Aug 7 08:10:51 2023 A1: 2719997884611152995512984390102
  153. Mon Aug 7 08:10:51 2023 A2: -7074180757379544086245846
  154. Mon Aug 7 08:10:51 2023 A3: -1217205765425110456
  155. Mon Aug 7 08:10:51 2023 A4: 3597123210017
  156. Mon Aug 7 08:10:51 2023 A5: 89880
  157. Mon Aug 7 08:10:51 2023 skew 1510620.44, size 1.306e-15, alpha -5.124, combined = 1.349e-12 rroots = 5
  158. Mon Aug 7 08:10:51 2023
  159. Mon Aug 7 08:10:51 2023 commencing linear algebra
  160. Mon Aug 7 08:10:51 2023 using VBITS=256
  161. Mon Aug 7 08:10:51 2023 initialized process (0,0) of 1 x 2 grid
  162. Mon Aug 7 08:10:52 2023 read 4783982 cycles
  163. Mon Aug 7 08:10:57 2023 cycles contain 15384450 unique relations
  164. Mon Aug 7 08:11:07 2023 read 15384450 relations
  165. Mon Aug 7 08:11:09 2023 using 20 quadratic characters above 4294917295
  166. Mon Aug 7 08:11:15 2023 building initial matrix
  167. Mon Aug 7 08:12:45 2023 memory use: 2032.1 MB
  168. Mon Aug 7 08:12:46 2023 read 4783982 cycles
  169. Mon Aug 7 08:12:47 2023 matrix is 4783799 x 4783982 (1924.2 MB) with weight 578810865 (120.99/col)
  170. Mon Aug 7 08:12:47 2023 sparse part has weight 451803230 (94.44/col)
  171. Mon Aug 7 08:13:09 2023 filtering completed in 2 passes
  172. Mon Aug 7 08:13:10 2023 matrix is 4783213 x 4783396 (1924.2 MB) with weight 578783957 (121.00/col)
  173. Mon Aug 7 08:13:10 2023 sparse part has weight 451792250 (94.45/col)
  174. Mon Aug 7 08:13:16 2023 matrix starts at (0, 0)
  175. Mon Aug 7 08:13:16 2023 matrix is 4783213 x 2391703 (962.1 MB) with weight 289400986 (121.00/col)
  176. Mon Aug 7 08:13:16 2023 sparse part has weight 225896289 (94.45/col)
  177. Mon Aug 7 08:13:16 2023 saving the first 240 matrix rows for later
  178. Mon Aug 7 08:13:16 2023 matrix includes 256 packed rows
  179. Mon Aug 7 08:13:17 2023 matrix is 4782973 x 2391703 (872.0 MB) with weight 203534933 (85.10/col)
  180. Mon Aug 7 08:13:17 2023 sparse part has weight 190323387 (79.58/col)
  181. Mon Aug 7 08:13:17 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  182. Mon Aug 7 08:13:17 2023 selected card has CUDA arch 8.6
  183. Mon Aug 7 08:13:24 2023 commencing Lanczos iteration
  184. Mon Aug 7 08:13:24 2023 memory use: 2282.3 MB
  185. Mon Aug 7 08:13:31 2023 linear algebra at 0.6%, ETA 0h15m
  186. Mon Aug 7 08:13:41 2023 checking every 280000 dimensions, checkpointing every 17360000 dimensions
  187. Mon Aug 7 08:29:50 2023 lanczos halted after 18741 iterations (dim = 4782972)
  188. Mon Aug 7 08:30:03 2023 recovered 27 nontrivial dependencies
  189. Mon Aug 7 08:30:03 2023 BLanczosTime: 1152
  190. Mon Aug 7 08:30:03 2023 elapsed time 00:19:12
  191. Mon Aug 7 08:30:03 2023
  192. Mon Aug 7 08:30:03 2023
  193. Mon Aug 7 08:30:03 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  194. Mon Aug 7 08:30:03 2023 random seeds: 84ca3374 38d6f68c
  195. Mon Aug 7 08:30:03 2023 Using 16 OpenMP threads
  196. Mon Aug 7 08:30:03 2023 factoring 84379012733341655752194759479204124036452490115003283015498857969111615472754206124383829198672354618964958111810595977187971849925667111349620064348331901402511 (161 digits)
  197. Mon Aug 7 08:30:03 2023 no P-1/P+1/ECM available, skipping
  198. Mon Aug 7 08:30:03 2023 commencing number field sieve (161-digit input)
  199. Mon Aug 7 08:30:03 2023 R0: -11046045345421792208987446227893
  200. Mon Aug 7 08:30:03 2023 R1: 1401886576457065905506707
  201. Mon Aug 7 08:30:03 2023 A0: 1731178276769960898800908816575887328
  202. Mon Aug 7 08:30:03 2023 A1: 2719997884611152995512984390102
  203. Mon Aug 7 08:30:03 2023 A2: -7074180757379544086245846
  204. Mon Aug 7 08:30:03 2023 A3: -1217205765425110456
  205. Mon Aug 7 08:30:03 2023 A4: 3597123210017
  206. Mon Aug 7 08:30:03 2023 A5: 89880
  207. Mon Aug 7 08:30:03 2023 skew 1510620.44, size 1.306e-15, alpha -5.124, combined = 1.349e-12 rroots = 5
  208. Mon Aug 7 08:30:03 2023
  209. Mon Aug 7 08:30:03 2023 commencing square root phase
  210. Mon Aug 7 08:30:03 2023 reading relations for dependency 1
  211. Mon Aug 7 08:30:04 2023 read 2392423 cycles
  212. Mon Aug 7 08:30:06 2023 cycles contain 7690080 unique relations
  213. Mon Aug 7 08:30:14 2023 read 7690080 relations
  214. Mon Aug 7 08:30:34 2023 multiplying 7690080 relations
  215. Mon Aug 7 08:31:15 2023 multiply complete, coefficients have about 422.47 million bits
  216. Mon Aug 7 08:31:16 2023 initial square root is modulo 38060437
  217. Mon Aug 7 08:32:40 2023 GCD is 1, no factor found
  218. Mon Aug 7 08:32:40 2023 reading relations for dependency 2
  219. Mon Aug 7 08:32:40 2023 read 2391791 cycles
  220. Mon Aug 7 08:32:43 2023 cycles contain 7692916 unique relations
  221. Mon Aug 7 08:32:53 2023 read 7692916 relations
  222. Mon Aug 7 08:33:11 2023 multiplying 7692916 relations
  223. Mon Aug 7 08:33:52 2023 multiply complete, coefficients have about 422.63 million bits
  224. Mon Aug 7 08:33:53 2023 initial square root is modulo 38306251
  225. Mon Aug 7 08:35:14 2023 GCD is N, no factor found
  226. Mon Aug 7 08:35:14 2023 reading relations for dependency 3
  227. Mon Aug 7 08:35:14 2023 read 2391677 cycles
  228. Mon Aug 7 08:35:16 2023 cycles contain 7695010 unique relations
  229. Mon Aug 7 08:35:22 2023 read 7695010 relations
  230. Mon Aug 7 08:35:38 2023 multiplying 7695010 relations
  231. Mon Aug 7 08:36:18 2023 multiply complete, coefficients have about 422.75 million bits
  232. Mon Aug 7 08:36:19 2023 initial square root is modulo 38500039
  233. Mon Aug 7 08:37:35 2023 sqrtTime: 452
  234. Mon Aug 7 08:37:35 2023 p76 factor: 6710799894405957370296853807940191270114711132145823832742120715649936579339
  235. Mon Aug 7 08:37:35 2023 p86 factor: 12573614779316992127445124730465175685274371244723835975778516384331675804632714779149
  236. Mon Aug 7 08:37:35 2023 elapsed time 00:07:32
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