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  1. Thu Jun 29 16:25:19 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Thu Jun 29 16:25:19 2023 random seeds: 17983707 284253f5
  3. Thu Jun 29 16:25:19 2023 Using 16 OpenMP threads
  4. Thu Jun 29 16:25:19 2023 factoring 1125587607334770224432682689893099308587000085820931048155749240778902460095709796555005962079908508290001638348607025819274592293521404653189454411064010504022042313036799683484731947359149426238217049584797713013721407995813 (226 digits)
  5. Thu Jun 29 16:25:19 2023 no P-1/P+1/ECM available, skipping
  6. Thu Jun 29 16:25:19 2023 commencing number field sieve (226-digit input)
  7. Thu Jun 29 16:25:19 2023 R0: 6626407607736646788242146697870745094397789666
  8. Thu Jun 29 16:25:19 2023 R1: -194079278437709238799383640289306640625
  9. Thu Jun 29 16:25:19 2023 A0: -1
  10. Thu Jun 29 16:25:19 2023 A1: -3
  11. Thu Jun 29 16:25:19 2023 A2: 6
  12. Thu Jun 29 16:25:19 2023 A3: 4
  13. Thu Jun 29 16:25:19 2023 A4: -5
  14. Thu Jun 29 16:25:19 2023 A5: -1
  15. Thu Jun 29 16:25:19 2023 A6: 1
  16. Thu Jun 29 16:25:19 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6
  17. Thu Jun 29 16:25:19 2023
  18. Thu Jun 29 16:25:19 2023 commencing relation filtering
  19. Thu Jun 29 16:25:19 2023 setting target matrix density to 115.0
  20. Thu Jun 29 16:25:19 2023 estimated available RAM is 64226.6 MB
  21. Thu Jun 29 16:25:19 2023 commencing duplicate removal, pass 1
  22. Thu Jun 29 16:26:13 2023 error -11 reading relation 73786200
  23. Thu Jun 29 16:26:47 2023 error -6 reading relation 120351039
  24. Thu Jun 29 16:28:34 2023 error -15 reading relation 268982491
  25. Thu Jun 29 16:28:38 2023 error -6 reading relation 274119725
  26. Thu Jun 29 16:28:59 2023 skipped 2257 relations with b > 2^32
  27. Thu Jun 29 16:28:59 2023 skipped 4 malformed relations
  28. Thu Jun 29 16:28:59 2023 found 10202221 hash collisions in 303045412 relations
  29. Thu Jun 29 16:29:03 2023 added 2438358 free relations
  30. Thu Jun 29 16:29:03 2023 commencing duplicate removal, pass 2
  31. Thu Jun 29 16:29:54 2023 found 0 duplicates and 305483770 unique relations
  32. Thu Jun 29 16:29:54 2023 memory use: 1044.8 MB
  33. Thu Jun 29 16:29:54 2023 reading ideals above 266010624
  34. Thu Jun 29 16:29:54 2023 commencing singleton removal, initial pass
  35. Thu Jun 29 16:34:50 2023 memory use: 6024.0 MB
  36. Thu Jun 29 16:34:50 2023 reading all ideals from disk
  37. Thu Jun 29 16:34:53 2023 memory use: 7820.4 MB
  38. Thu Jun 29 16:35:00 2023 commencing in-memory singleton removal
  39. Thu Jun 29 16:35:03 2023 begin with 305483770 relations and 254912262 unique ideals
  40. Thu Jun 29 16:35:22 2023 reduce to 218870795 relations and 163178060 ideals in 15 passes
  41. Thu Jun 29 16:35:22 2023 max relations containing the same ideal: 45
  42. Thu Jun 29 16:35:25 2023 reading ideals above 720000
  43. Thu Jun 29 16:35:26 2023 commencing singleton removal, initial pass
  44. Thu Jun 29 16:42:38 2023 memory use: 5512.0 MB
  45. Thu Jun 29 16:42:38 2023 reading all ideals from disk
  46. Thu Jun 29 16:42:41 2023 memory use: 10979.0 MB
  47. Thu Jun 29 16:42:52 2023 keeping 191064220 ideals with weight <= 200, target excess is 1124977
  48. Thu Jun 29 16:43:06 2023 commencing in-memory singleton removal
  49. Thu Jun 29 16:43:10 2023 begin with 218870795 relations and 191064220 unique ideals
  50. Thu Jun 29 16:43:18 2023 reduce to 218870721 relations and 191064146 ideals in 3 passes
  51. Thu Jun 29 16:43:18 2023 max relations containing the same ideal: 200
  52. Thu Jun 29 16:44:03 2023 removing 14949923 relations and 12949923 ideals in 2000000 cliques
  53. Thu Jun 29 16:44:08 2023 commencing in-memory singleton removal
  54. Thu Jun 29 16:44:12 2023 begin with 203920798 relations and 191064146 unique ideals
  55. Thu Jun 29 16:44:33 2023 reduce to 203063453 relations and 177245892 ideals in 10 passes
  56. Thu Jun 29 16:44:33 2023 max relations containing the same ideal: 199
  57. Thu Jun 29 16:45:13 2023 removing 11249440 relations and 9249440 ideals in 2000000 cliques
  58. Thu Jun 29 16:45:17 2023 commencing in-memory singleton removal
  59. Thu Jun 29 16:45:21 2023 begin with 191814013 relations and 177245892 unique ideals
  60. Thu Jun 29 16:45:39 2023 reduce to 191274265 relations and 167450885 ideals in 9 passes
  61. Thu Jun 29 16:45:39 2023 max relations containing the same ideal: 192
  62. Thu Jun 29 16:46:16 2023 removing 10103656 relations and 8103656 ideals in 2000000 cliques
  63. Thu Jun 29 16:46:20 2023 commencing in-memory singleton removal
  64. Thu Jun 29 16:46:23 2023 begin with 181170609 relations and 167450885 unique ideals
  65. Thu Jun 29 16:46:38 2023 reduce to 180702375 relations and 158874086 ideals in 8 passes
  66. Thu Jun 29 16:46:38 2023 max relations containing the same ideal: 186
  67. Thu Jun 29 16:47:14 2023 removing 9506796 relations and 7506796 ideals in 2000000 cliques
  68. Thu Jun 29 16:47:17 2023 commencing in-memory singleton removal
  69. Thu Jun 29 16:47:20 2023 begin with 171195579 relations and 158874086 unique ideals
  70. Thu Jun 29 16:47:34 2023 reduce to 170758754 relations and 150925686 ideals in 8 passes
  71. Thu Jun 29 16:47:34 2023 max relations containing the same ideal: 182
  72. Thu Jun 29 16:48:08 2023 removing 9126218 relations and 7126218 ideals in 2000000 cliques
  73. Thu Jun 29 16:48:12 2023 commencing in-memory singleton removal
  74. Thu Jun 29 16:48:15 2023 begin with 161632536 relations and 150925686 unique ideals
  75. Thu Jun 29 16:48:28 2023 reduce to 161206803 relations and 143369082 ideals in 8 passes
  76. Thu Jun 29 16:48:28 2023 max relations containing the same ideal: 176
  77. Thu Jun 29 16:49:00 2023 removing 8869973 relations and 6869973 ideals in 2000000 cliques
  78. Thu Jun 29 16:49:03 2023 commencing in-memory singleton removal
  79. Thu Jun 29 16:49:06 2023 begin with 152336830 relations and 143369082 unique ideals
  80. Thu Jun 29 16:49:17 2023 reduce to 151916332 relations and 136073740 ideals in 7 passes
  81. Thu Jun 29 16:49:17 2023 max relations containing the same ideal: 167
  82. Thu Jun 29 16:49:47 2023 removing 8703789 relations and 6703789 ideals in 2000000 cliques
  83. Thu Jun 29 16:49:49 2023 commencing in-memory singleton removal
  84. Thu Jun 29 16:49:52 2023 begin with 143212543 relations and 136073740 unique ideals
  85. Thu Jun 29 16:50:04 2023 reduce to 142787070 relations and 128939469 ideals in 8 passes
  86. Thu Jun 29 16:50:04 2023 max relations containing the same ideal: 162
  87. Thu Jun 29 16:50:32 2023 removing 8584092 relations and 6584092 ideals in 2000000 cliques
  88. Thu Jun 29 16:50:35 2023 commencing in-memory singleton removal
  89. Thu Jun 29 16:50:38 2023 begin with 134202978 relations and 128939469 unique ideals
  90. Thu Jun 29 16:50:48 2023 reduce to 133765621 relations and 121912585 ideals in 8 passes
  91. Thu Jun 29 16:50:48 2023 max relations containing the same ideal: 155
  92. Thu Jun 29 16:51:15 2023 removing 8509322 relations and 6509322 ideals in 2000000 cliques
  93. Thu Jun 29 16:51:18 2023 commencing in-memory singleton removal
  94. Thu Jun 29 16:51:20 2023 begin with 125256299 relations and 121912585 unique ideals
  95. Thu Jun 29 16:51:31 2023 reduce to 124802676 relations and 114943746 ideals in 8 passes
  96. Thu Jun 29 16:51:31 2023 max relations containing the same ideal: 148
  97. Thu Jun 29 16:51:56 2023 removing 8466087 relations and 6466087 ideals in 2000000 cliques
  98. Thu Jun 29 16:51:59 2023 commencing in-memory singleton removal
  99. Thu Jun 29 16:52:01 2023 begin with 116336589 relations and 114943746 unique ideals
  100. Thu Jun 29 16:52:10 2023 reduce to 115856936 relations and 107991365 ideals in 8 passes
  101. Thu Jun 29 16:52:10 2023 max relations containing the same ideal: 139
  102. Thu Jun 29 16:52:34 2023 removing 8446382 relations and 6446382 ideals in 2000000 cliques
  103. Thu Jun 29 16:52:36 2023 commencing in-memory singleton removal
  104. Thu Jun 29 16:52:38 2023 begin with 107410554 relations and 107991365 unique ideals
  105. Thu Jun 29 16:52:48 2023 reduce to 106899768 relations and 101026507 ideals in 9 passes
  106. Thu Jun 29 16:52:48 2023 max relations containing the same ideal: 131
  107. Thu Jun 29 16:53:10 2023 removing 8453980 relations and 6453980 ideals in 2000000 cliques
  108. Thu Jun 29 16:53:12 2023 commencing in-memory singleton removal
  109. Thu Jun 29 16:53:14 2023 begin with 98445788 relations and 101026507 unique ideals
  110. Thu Jun 29 16:53:22 2023 reduce to 97897511 relations and 94015452 ideals in 8 passes
  111. Thu Jun 29 16:53:22 2023 max relations containing the same ideal: 126
  112. Thu Jun 29 16:53:42 2023 removing 8481104 relations and 6481104 ideals in 2000000 cliques
  113. Thu Jun 29 16:53:44 2023 commencing in-memory singleton removal
  114. Thu Jun 29 16:53:46 2023 begin with 89416407 relations and 94015452 unique ideals
  115. Thu Jun 29 16:53:54 2023 reduce to 88816695 relations and 86923826 ideals in 9 passes
  116. Thu Jun 29 16:53:54 2023 max relations containing the same ideal: 117
  117. Thu Jun 29 16:54:13 2023 removing 3190385 relations and 2602490 ideals in 587895 cliques
  118. Thu Jun 29 16:54:14 2023 commencing in-memory singleton removal
  119. Thu Jun 29 16:54:16 2023 begin with 85626310 relations and 86923826 unique ideals
  120. Thu Jun 29 16:54:22 2023 reduce to 85541979 relations and 84236494 ideals in 7 passes
  121. Thu Jun 29 16:54:22 2023 max relations containing the same ideal: 116
  122. Thu Jun 29 16:54:48 2023 relations with 0 large ideals: 86230
  123. Thu Jun 29 16:54:48 2023 relations with 1 large ideals: 11760
  124. Thu Jun 29 16:54:48 2023 relations with 2 large ideals: 139107
  125. Thu Jun 29 16:54:48 2023 relations with 3 large ideals: 1071352
  126. Thu Jun 29 16:54:48 2023 relations with 4 large ideals: 4606223
  127. Thu Jun 29 16:54:48 2023 relations with 5 large ideals: 12086377
  128. Thu Jun 29 16:54:48 2023 relations with 6 large ideals: 20180874
  129. Thu Jun 29 16:54:48 2023 relations with 7+ large ideals: 47360056
  130. Thu Jun 29 16:54:48 2023 commencing 2-way merge
  131. Thu Jun 29 16:55:17 2023 reduce to 54634355 relation sets and 53328870 unique ideals
  132. Thu Jun 29 16:55:17 2023 commencing full merge
  133. Thu Jun 29 17:10:41 2023 memory use: 7432.9 MB
  134. Thu Jun 29 17:10:45 2023 found 25011660 cycles, need 24989070
  135. Thu Jun 29 17:10:49 2023 weight of 24989070 cycles is about 2873938268 (115.01/cycle)
  136. Thu Jun 29 17:10:49 2023 distribution of cycle lengths:
  137. Thu Jun 29 17:10:49 2023 1 relations: 1866364
  138. Thu Jun 29 17:10:49 2023 2 relations: 1927809
  139. Thu Jun 29 17:10:50 2023 3 relations: 1933860
  140. Thu Jun 29 17:10:50 2023 4 relations: 1850605
  141. Thu Jun 29 17:10:50 2023 5 relations: 1788364
  142. Thu Jun 29 17:10:50 2023 6 relations: 1712926
  143. Thu Jun 29 17:10:50 2023 7 relations: 1622012
  144. Thu Jun 29 17:10:50 2023 8 relations: 1534411
  145. Thu Jun 29 17:10:50 2023 9 relations: 1435054
  146. Thu Jun 29 17:10:50 2023 10+ relations: 9317665
  147. Thu Jun 29 17:10:50 2023 heaviest cycle: 28 relations
  148. Thu Jun 29 17:10:53 2023 commencing cycle optimization
  149. Thu Jun 29 17:11:28 2023 start with 210881056 relations
  150. Thu Jun 29 17:16:20 2023 pruned 8307377 relations
  151. Thu Jun 29 17:16:20 2023 memory use: 5704.0 MB
  152. Thu Jun 29 17:16:20 2023 distribution of cycle lengths:
  153. Thu Jun 29 17:16:20 2023 1 relations: 1866364
  154. Thu Jun 29 17:16:20 2023 2 relations: 1965189
  155. Thu Jun 29 17:16:20 2023 3 relations: 2002828
  156. Thu Jun 29 17:16:20 2023 4 relations: 1914109
  157. Thu Jun 29 17:16:20 2023 5 relations: 1863512
  158. Thu Jun 29 17:16:20 2023 6 relations: 1777820
  159. Thu Jun 29 17:16:20 2023 7 relations: 1688943
  160. Thu Jun 29 17:16:20 2023 8 relations: 1589317
  161. Thu Jun 29 17:16:20 2023 9 relations: 1484024
  162. Thu Jun 29 17:16:20 2023 10+ relations: 8836964
  163. Thu Jun 29 17:16:20 2023 heaviest cycle: 28 relations
  164. Thu Jun 29 17:16:47 2023 RelProcTime: 3088
  165. Thu Jun 29 17:16:47 2023 elapsed time 00:51:28
  166. Thu Jun 29 17:18:16 2023
  167. Thu Jun 29 17:18:16 2023
  168. Thu Jun 29 17:18:16 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  169. Thu Jun 29 17:18:16 2023 random seeds: 0ead82ae 8dd762d7
  170. Thu Jun 29 17:18:16 2023 MPI process 0 of 2
  171. Thu Jun 29 17:18:16 2023 Using 8 OpenMP threads
  172. Thu Jun 29 17:18:16 2023 factoring 1125587607334770224432682689893099308587000085820931048155749240778902460095709796555005962079908508290001638348607025819274592293521404653189454411064010504022042313036799683484731947359149426238217049584797713013721407995813 (226 digits)
  173. Thu Jun 29 17:18:17 2023 no P-1/P+1/ECM available, skipping
  174. Thu Jun 29 17:18:17 2023 commencing number field sieve (226-digit input)
  175. Thu Jun 29 17:18:17 2023 R0: 6626407607736646788242146697870745094397789666
  176. Thu Jun 29 17:18:17 2023 R1: -194079278437709238799383640289306640625
  177. Thu Jun 29 17:18:17 2023 A0: -1
  178. Thu Jun 29 17:18:17 2023 A1: -3
  179. Thu Jun 29 17:18:17 2023 A2: 6
  180. Thu Jun 29 17:18:17 2023 A3: 4
  181. Thu Jun 29 17:18:17 2023 A4: -5
  182. Thu Jun 29 17:18:17 2023 A5: -1
  183. Thu Jun 29 17:18:17 2023 A6: 1
  184. Thu Jun 29 17:18:17 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6
  185. Thu Jun 29 17:18:17 2023
  186. Thu Jun 29 17:18:17 2023 commencing linear algebra
  187. Thu Jun 29 17:18:17 2023 using VBITS=256
  188. Thu Jun 29 17:18:17 2023 initialized process (0,0) of 1 x 2 grid
  189. Thu Jun 29 17:18:18 2023 read 24989070 cycles
  190. Thu Jun 29 17:18:51 2023 cycles contain 84763974 unique relations
  191. Thu Jun 29 17:20:15 2023 read 84763974 relations
  192. Thu Jun 29 17:20:36 2023 using 20 quadratic characters above 4294917295
  193. Thu Jun 29 17:21:06 2023 building initial matrix
  194. Thu Jun 29 17:31:57 2023 memory use: 10591.9 MB
  195. Thu Jun 29 17:32:10 2023 read 24989070 cycles
  196. Thu Jun 29 17:32:12 2023 matrix is 24988893 x 24989070 (11285.8 MB) with weight 3184650580 (127.44/col)
  197. Thu Jun 29 17:32:12 2023 sparse part has weight 2708617378 (108.39/col)
  198. Thu Jun 29 17:35:00 2023 filtering completed in 2 passes
  199. Thu Jun 29 17:35:03 2023 matrix is 24988582 x 24988744 (11285.8 MB) with weight 3184641004 (127.44/col)
  200. Thu Jun 29 17:35:03 2023 sparse part has weight 2708614176 (108.39/col)
  201. Thu Jun 29 17:35:41 2023 matrix starts at (0, 0)
  202. Thu Jun 29 17:35:42 2023 matrix is 24988582 x 12494383 (5642.9 MB) with weight 1592328999 (127.44/col)
  203. Thu Jun 29 17:35:42 2023 sparse part has weight 1354307199 (108.39/col)
  204. Thu Jun 29 17:35:42 2023 saving the first 240 matrix rows for later
  205. Thu Jun 29 17:35:43 2023 matrix includes 256 packed rows
  206. Thu Jun 29 17:35:47 2023 matrix is 24988342 x 12494383 (5267.7 MB) with weight 1238049881 (99.09/col)
  207. Thu Jun 29 17:35:47 2023 sparse part has weight 1180982891 (94.52/col)
  208. Thu Jun 29 17:35:48 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  209. Thu Jun 29 17:35:48 2023 selected card has CUDA arch 8.6
  210. Thu Jun 29 17:37:09 2023 commencing Lanczos iteration
  211. Thu Jun 29 17:37:09 2023 memory use: 13347.4 MB
  212. Thu Jun 29 17:38:03 2023 linear algebra at 0.1%, ETA 9h17m
  213. Thu Jun 29 17:39:06 2023 checking every 40000 dimensions, checkpointing every 2680000 dimensions
  214. Fri Jun 30 03:06:41 2023 lanczos halted after 97903 iterations (dim = 24988340)
  215. Fri Jun 30 03:08:17 2023 recovered 35 nontrivial dependencies
  216. Fri Jun 30 03:08:19 2023 BLanczosTime: 35402
  217. Fri Jun 30 03:08:19 2023 elapsed time 09:50:03
  218. Fri Jun 30 12:01:33 2023
  219. Fri Jun 30 12:01:33 2023
  220. Fri Jun 30 12:01:33 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  221. Fri Jun 30 12:01:33 2023 random seeds: 21dd8a8e 863ed725
  222. Fri Jun 30 12:01:33 2023 Using 16 OpenMP threads
  223. Fri Jun 30 12:01:33 2023 factoring 1125587607334770224432682689893099308587000085820931048155749240778902460095709796555005962079908508290001638348607025819274592293521404653189454411064010504022042313036799683484731947359149426238217049584797713013721407995813 (226 digits)
  224. Fri Jun 30 12:01:33 2023 no P-1/P+1/ECM available, skipping
  225. Fri Jun 30 12:01:33 2023 commencing number field sieve (226-digit input)
  226. Fri Jun 30 12:01:33 2023 R0: 6626407607736646788242146697870745094397789666
  227. Fri Jun 30 12:01:33 2023 R1: -194079278437709238799383640289306640625
  228. Fri Jun 30 12:01:33 2023 A0: -1
  229. Fri Jun 30 12:01:33 2023 A1: -3
  230. Fri Jun 30 12:01:33 2023 A2: 6
  231. Fri Jun 30 12:01:33 2023 A3: 4
  232. Fri Jun 30 12:01:33 2023 A4: -5
  233. Fri Jun 30 12:01:33 2023 A5: -1
  234. Fri Jun 30 12:01:33 2023 A6: 1
  235. Fri Jun 30 12:01:33 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6
  236. Fri Jun 30 12:01:33 2023
  237. Fri Jun 30 12:01:33 2023 commencing square root phase
  238. Fri Jun 30 12:01:33 2023 reading relations for dependency 1
  239. Fri Jun 30 12:01:35 2023 read 12495973 cycles
  240. Fri Jun 30 12:01:51 2023 cycles contain 42373752 unique relations
  241. Fri Jun 30 12:02:24 2023 read 42373752 relations
  242. Fri Jun 30 12:04:12 2023 multiplying 42373752 relations
  243. Fri Jun 30 12:12:18 2023 multiply complete, coefficients have about 1117.46 million bits
  244. Fri Jun 30 12:12:20 2023 initial square root is modulo 102953
  245. Fri Jun 30 12:17:08 2023 GCD is N, no factor found
  246. Fri Jun 30 12:17:08 2023 reading relations for dependency 2
  247. Fri Jun 30 12:17:09 2023 read 12494396 cycles
  248. Fri Jun 30 12:17:26 2023 cycles contain 42387214 unique relations
  249. Fri Jun 30 12:17:54 2023 read 42387214 relations
  250. Fri Jun 30 12:19:45 2023 multiplying 42387214 relations
  251. Fri Jun 30 12:27:53 2023 multiply complete, coefficients have about 1117.83 million bits
  252. Fri Jun 30 12:27:55 2023 initial square root is modulo 103357
  253. Fri Jun 30 12:32:42 2023 sqrtTime: 1869
  254. Fri Jun 30 12:32:42 2023 p105 factor: 113047821471372870097432168773228135707431157293412386375207063498922380644084148541569604920142040983093
  255. Fri Jun 30 12:32:42 2023 p121 factor: 9956738596858348779864436366866234369148420022561849344513532001706821105217343899786689113243793973108035445599538373041
  256. Fri Jun 30 12:32:42 2023 elapsed time 00:31:09
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