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Apr 4th, 2023
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  1. Tue Apr 4 12:15:54 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Apr 4 12:15:54 2023 random seeds: 6744d077 cf10af0e
  3. Tue Apr 4 12:15:54 2023 Using 15 OpenMP threads
  4. Tue Apr 4 12:15:54 2023 factoring 1906363430728968150807006553719934611464397278108274817616326313969353352714355166716874599118993395194716508711125634861021069304064720907226846669303567678971322323170413960232346558580664553264997068074470290206711376603267875453871783588684898563515303300980737 (265 digits)
  5. Tue Apr 4 12:15:55 2023 no P-1/P+1/ECM available, skipping
  6. Tue Apr 4 12:15:55 2023 commencing number field sieve (265-digit input)
  7. Tue Apr 4 12:15:55 2023 R0: 542101086242755650687546692947455513561979906
  8. Tue Apr 4 12:15:55 2023 R1: -43143988327398919500410556793212890625
  9. Tue Apr 4 12:15:55 2023 A0: -1
  10. Tue Apr 4 12:15:55 2023 A1: -3
  11. Tue Apr 4 12:15:55 2023 A2: 6
  12. Tue Apr 4 12:15:55 2023 A3: 4
  13. Tue Apr 4 12:15:55 2023 A4: -5
  14. Tue Apr 4 12:15:55 2023 A5: -1
  15. Tue Apr 4 12:15:55 2023 A6: 1
  16. Tue Apr 4 12:15:55 2023 skew 1.00, size 3.729e-13, alpha 3.126, combined = 5.331e-14 rroots = 6
  17. Tue Apr 4 12:15:55 2023
  18. Tue Apr 4 12:15:55 2023 commencing relation filtering
  19. Tue Apr 4 12:15:55 2023 setting target matrix density to 112.0
  20. Tue Apr 4 12:15:55 2023 estimated available RAM is 64238.6 MB
  21. Tue Apr 4 12:15:55 2023 commencing duplicate removal, pass 1
  22. Tue Apr 4 12:19:49 2023 skipped 1452 relations with b > 2^32
  23. Tue Apr 4 12:19:49 2023 skipped 1 malformed relations
  24. Tue Apr 4 12:19:49 2023 found 10519354 hash collisions in 307740455 relations
  25. Tue Apr 4 12:19:49 2023 commencing duplicate removal, pass 2
  26. Tue Apr 4 12:20:42 2023 found 0 duplicates and 307740455 unique relations
  27. Tue Apr 4 12:20:42 2023 memory use: 1044.8 MB
  28. Tue Apr 4 12:20:42 2023 reading ideals above 209911808
  29. Tue Apr 4 12:20:42 2023 commencing singleton removal, initial pass
  30. Tue Apr 4 12:25:57 2023 memory use: 6024.0 MB
  31. Tue Apr 4 12:25:57 2023 reading all ideals from disk
  32. Tue Apr 4 12:25:58 2023 memory use: 7975.6 MB
  33. Tue Apr 4 12:26:04 2023 commencing in-memory singleton removal
  34. Tue Apr 4 12:26:07 2023 begin with 307740455 relations and 256369543 unique ideals
  35. Tue Apr 4 12:26:28 2023 reduce to 221300416 relations and 164828665 ideals in 15 passes
  36. Tue Apr 4 12:26:28 2023 max relations containing the same ideal: 49
  37. Tue Apr 4 12:26:31 2023 reading ideals above 720000
  38. Tue Apr 4 12:26:31 2023 commencing singleton removal, initial pass
  39. Tue Apr 4 12:33:58 2023 memory use: 5512.0 MB
  40. Tue Apr 4 12:33:58 2023 reading all ideals from disk
  41. Tue Apr 4 12:34:00 2023 memory use: 10976.2 MB
  42. Tue Apr 4 12:34:09 2023 keeping 186878873 ideals with weight <= 200, target excess is 1142761
  43. Tue Apr 4 12:34:22 2023 commencing in-memory singleton removal
  44. Tue Apr 4 12:34:26 2023 begin with 221300416 relations and 186878873 unique ideals
  45. Tue Apr 4 12:34:38 2023 reduce to 221300234 relations and 186878691 ideals in 5 passes
  46. Tue Apr 4 12:34:38 2023 max relations containing the same ideal: 200
  47. Tue Apr 4 12:35:19 2023 removing 14403199 relations and 12403199 ideals in 2000000 cliques
  48. Tue Apr 4 12:35:23 2023 commencing in-memory singleton removal
  49. Tue Apr 4 12:35:27 2023 begin with 206897035 relations and 186878691 unique ideals
  50. Tue Apr 4 12:35:48 2023 reduce to 206134360 relations and 173702934 ideals in 10 passes
  51. Tue Apr 4 12:35:48 2023 max relations containing the same ideal: 198
  52. Tue Apr 4 12:36:26 2023 removing 10805254 relations and 8805254 ideals in 2000000 cliques
  53. Tue Apr 4 12:36:30 2023 commencing in-memory singleton removal
  54. Tue Apr 4 12:36:34 2023 begin with 195329106 relations and 173702934 unique ideals
  55. Tue Apr 4 12:36:52 2023 reduce to 194849186 relations and 164412614 ideals in 9 passes
  56. Tue Apr 4 12:36:52 2023 max relations containing the same ideal: 193
  57. Tue Apr 4 12:37:28 2023 removing 9689853 relations and 7689853 ideals in 2000000 cliques
  58. Tue Apr 4 12:37:31 2023 commencing in-memory singleton removal
  59. Tue Apr 4 12:37:35 2023 begin with 185159333 relations and 164412614 unique ideals
  60. Tue Apr 4 12:37:52 2023 reduce to 184746118 relations and 156305310 ideals in 9 passes
  61. Tue Apr 4 12:37:52 2023 max relations containing the same ideal: 189
  62. Tue Apr 4 12:38:26 2023 removing 9084291 relations and 7084291 ideals in 2000000 cliques
  63. Tue Apr 4 12:38:30 2023 commencing in-memory singleton removal
  64. Tue Apr 4 12:38:33 2023 begin with 175661827 relations and 156305310 unique ideals
  65. Tue Apr 4 12:38:46 2023 reduce to 175279867 relations and 148834998 ideals in 7 passes
  66. Tue Apr 4 12:38:46 2023 max relations containing the same ideal: 183
  67. Tue Apr 4 12:39:19 2023 removing 8702416 relations and 6702416 ideals in 2000000 cliques
  68. Tue Apr 4 12:39:22 2023 commencing in-memory singleton removal
  69. Tue Apr 4 12:39:25 2023 begin with 166577451 relations and 148834998 unique ideals
  70. Tue Apr 4 12:39:37 2023 reduce to 166209301 relations and 141760534 ideals in 7 passes
  71. Tue Apr 4 12:39:37 2023 max relations containing the same ideal: 177
  72. Tue Apr 4 12:40:08 2023 removing 8440637 relations and 6440637 ideals in 2000000 cliques
  73. Tue Apr 4 12:40:11 2023 commencing in-memory singleton removal
  74. Tue Apr 4 12:40:14 2023 begin with 157768664 relations and 141760534 unique ideals
  75. Tue Apr 4 12:40:27 2023 reduce to 157406494 relations and 134953745 ideals in 8 passes
  76. Tue Apr 4 12:40:27 2023 max relations containing the same ideal: 171
  77. Tue Apr 4 12:40:57 2023 removing 8249361 relations and 6249361 ideals in 2000000 cliques
  78. Tue Apr 4 12:41:00 2023 commencing in-memory singleton removal
  79. Tue Apr 4 12:41:02 2023 begin with 149157133 relations and 134953745 unique ideals
  80. Tue Apr 4 12:41:14 2023 reduce to 148794774 relations and 128337791 ideals in 8 passes
  81. Tue Apr 4 12:41:14 2023 max relations containing the same ideal: 163
  82. Tue Apr 4 12:41:43 2023 removing 8114414 relations and 6114414 ideals in 2000000 cliques
  83. Tue Apr 4 12:41:46 2023 commencing in-memory singleton removal
  84. Tue Apr 4 12:41:48 2023 begin with 140680360 relations and 128337791 unique ideals
  85. Tue Apr 4 12:42:00 2023 reduce to 140312202 relations and 121850731 ideals in 8 passes
  86. Tue Apr 4 12:42:00 2023 max relations containing the same ideal: 158
  87. Tue Apr 4 12:42:27 2023 removing 8020827 relations and 6020827 ideals in 2000000 cliques
  88. Tue Apr 4 12:42:30 2023 commencing in-memory singleton removal
  89. Tue Apr 4 12:42:32 2023 begin with 132291375 relations and 121850731 unique ideals
  90. Tue Apr 4 12:42:42 2023 reduce to 131915512 relations and 115449070 ideals in 8 passes
  91. Tue Apr 4 12:42:42 2023 max relations containing the same ideal: 152
  92. Tue Apr 4 12:43:08 2023 removing 7954309 relations and 5954309 ideals in 2000000 cliques
  93. Tue Apr 4 12:43:11 2023 commencing in-memory singleton removal
  94. Tue Apr 4 12:43:13 2023 begin with 123961203 relations and 115449070 unique ideals
  95. Tue Apr 4 12:43:23 2023 reduce to 123571072 relations and 109099350 ideals in 8 passes
  96. Tue Apr 4 12:43:23 2023 max relations containing the same ideal: 145
  97. Tue Apr 4 12:43:47 2023 removing 7916906 relations and 5916906 ideals in 2000000 cliques
  98. Tue Apr 4 12:43:50 2023 commencing in-memory singleton removal
  99. Tue Apr 4 12:43:52 2023 begin with 115654166 relations and 109099350 unique ideals
  100. Tue Apr 4 12:44:00 2023 reduce to 115243419 relations and 102765814 ideals in 7 passes
  101. Tue Apr 4 12:44:00 2023 max relations containing the same ideal: 139
  102. Tue Apr 4 12:44:22 2023 removing 7900526 relations and 5900526 ideals in 2000000 cliques
  103. Tue Apr 4 12:44:25 2023 commencing in-memory singleton removal
  104. Tue Apr 4 12:44:27 2023 begin with 107342893 relations and 102765814 unique ideals
  105. Tue Apr 4 12:44:34 2023 reduce to 106907372 relations and 96423240 ideals in 7 passes
  106. Tue Apr 4 12:44:34 2023 max relations containing the same ideal: 132
  107. Tue Apr 4 12:44:55 2023 removing 7898606 relations and 5898606 ideals in 2000000 cliques
  108. Tue Apr 4 12:44:58 2023 commencing in-memory singleton removal
  109. Tue Apr 4 12:45:00 2023 begin with 99008766 relations and 96423240 unique ideals
  110. Tue Apr 4 12:45:07 2023 reduce to 98543759 relations and 90051999 ideals in 8 passes
  111. Tue Apr 4 12:45:07 2023 max relations containing the same ideal: 124
  112. Tue Apr 4 12:45:27 2023 removing 7921423 relations and 5921423 ideals in 2000000 cliques
  113. Tue Apr 4 12:45:29 2023 commencing in-memory singleton removal
  114. Tue Apr 4 12:45:31 2023 begin with 90622336 relations and 90051999 unique ideals
  115. Tue Apr 4 12:45:37 2023 reduce to 90116915 relations and 83616347 ideals in 7 passes
  116. Tue Apr 4 12:45:37 2023 max relations containing the same ideal: 116
  117. Tue Apr 4 12:45:56 2023 removing 7963402 relations and 5963402 ideals in 2000000 cliques
  118. Tue Apr 4 12:45:58 2023 commencing in-memory singleton removal
  119. Tue Apr 4 12:45:59 2023 begin with 82153513 relations and 83616347 unique ideals
  120. Tue Apr 4 12:46:06 2023 reduce to 81597502 relations and 77086277 ideals in 8 passes
  121. Tue Apr 4 12:46:06 2023 max relations containing the same ideal: 110
  122. Tue Apr 4 12:46:23 2023 removing 8027377 relations and 6027377 ideals in 2000000 cliques
  123. Tue Apr 4 12:46:25 2023 commencing in-memory singleton removal
  124. Tue Apr 4 12:46:26 2023 begin with 73570125 relations and 77086277 unique ideals
  125. Tue Apr 4 12:46:32 2023 reduce to 72945370 relations and 70420987 ideals in 9 passes
  126. Tue Apr 4 12:46:32 2023 max relations containing the same ideal: 101
  127. Tue Apr 4 12:46:48 2023 removing 5393902 relations and 4195122 ideals in 1198780 cliques
  128. Tue Apr 4 12:46:50 2023 commencing in-memory singleton removal
  129. Tue Apr 4 12:46:51 2023 begin with 67551468 relations and 70420987 unique ideals
  130. Tue Apr 4 12:46:55 2023 reduce to 67249617 relations and 65919719 ideals in 7 passes
  131. Tue Apr 4 12:46:55 2023 max relations containing the same ideal: 95
  132. Tue Apr 4 12:47:17 2023 relations with 0 large ideals: 86988
  133. Tue Apr 4 12:47:17 2023 relations with 1 large ideals: 16522
  134. Tue Apr 4 12:47:17 2023 relations with 2 large ideals: 171715
  135. Tue Apr 4 12:47:17 2023 relations with 3 large ideals: 1226711
  136. Tue Apr 4 12:47:17 2023 relations with 4 large ideals: 4816966
  137. Tue Apr 4 12:47:17 2023 relations with 5 large ideals: 11402492
  138. Tue Apr 4 12:47:17 2023 relations with 6 large ideals: 16982155
  139. Tue Apr 4 12:47:17 2023 relations with 7+ large ideals: 32546068
  140. Tue Apr 4 12:47:17 2023 commencing 2-way merge
  141. Tue Apr 4 12:47:39 2023 reduce to 42458407 relation sets and 41128509 unique ideals
  142. Tue Apr 4 12:47:39 2023 commencing full merge
  143. Tue Apr 4 12:59:18 2023 memory use: 5802.5 MB
  144. Tue Apr 4 12:59:20 2023 found 19686483 cycles, need 19618709
  145. Tue Apr 4 12:59:24 2023 weight of 19618709 cycles is about 2197576082 (112.01/cycle)
  146. Tue Apr 4 12:59:24 2023 distribution of cycle lengths:
  147. Tue Apr 4 12:59:24 2023 1 relations: 1457604
  148. Tue Apr 4 12:59:24 2023 2 relations: 1518553
  149. Tue Apr 4 12:59:24 2023 3 relations: 1519769
  150. Tue Apr 4 12:59:24 2023 4 relations: 1463785
  151. Tue Apr 4 12:59:24 2023 5 relations: 1424133
  152. Tue Apr 4 12:59:24 2023 6 relations: 1376152
  153. Tue Apr 4 12:59:24 2023 7 relations: 1311125
  154. Tue Apr 4 12:59:24 2023 8 relations: 1243632
  155. Tue Apr 4 12:59:24 2023 9 relations: 1163463
  156. Tue Apr 4 12:59:24 2023 10+ relations: 7140493
  157. Tue Apr 4 12:59:24 2023 heaviest cycle: 28 relations
  158. Tue Apr 4 12:59:28 2023 commencing cycle optimization
  159. Tue Apr 4 12:59:54 2023 start with 162406550 relations
  160. Tue Apr 4 13:03:31 2023 pruned 6400642 relations
  161. Tue Apr 4 13:03:31 2023 memory use: 4440.2 MB
  162. Tue Apr 4 13:03:31 2023 distribution of cycle lengths:
  163. Tue Apr 4 13:03:31 2023 1 relations: 1457604
  164. Tue Apr 4 13:03:31 2023 2 relations: 1546724
  165. Tue Apr 4 13:03:31 2023 3 relations: 1571897
  166. Tue Apr 4 13:03:31 2023 4 relations: 1512941
  167. Tue Apr 4 13:03:31 2023 5 relations: 1483408
  168. Tue Apr 4 13:03:31 2023 6 relations: 1429796
  169. Tue Apr 4 13:03:31 2023 7 relations: 1366240
  170. Tue Apr 4 13:03:31 2023 8 relations: 1292302
  171. Tue Apr 4 13:03:31 2023 9 relations: 1205692
  172. Tue Apr 4 13:03:31 2023 10+ relations: 6752105
  173. Tue Apr 4 13:03:31 2023 heaviest cycle: 28 relations
  174. Tue Apr 4 13:03:52 2023 RelProcTime: 2877
  175. Tue Apr 4 13:03:52 2023
  176. Tue Apr 4 13:03:52 2023 commencing linear algebra
  177. Tue Apr 4 13:03:52 2023 using VBITS=256
  178. Tue Apr 4 13:03:53 2023 read 19618709 cycles
  179. Tue Apr 4 13:04:18 2023 cycles contain 66397170 unique relations
  180. Tue Apr 4 13:04:57 2023 read 66397170 relations
  181. Tue Apr 4 13:05:06 2023 using 20 quadratic characters above 4294917295
  182. Tue Apr 4 13:05:19 2023 building initial matrix
  183. Tue Apr 4 13:12:55 2023 memory use: 8091.8 MB
  184. Tue Apr 4 13:13:00 2023 read 19618709 cycles
  185. Tue Apr 4 13:13:02 2023 matrix is 19618532 x 19618709 (8657.1 MB) with weight 2442866197 (124.52/col)
  186. Tue Apr 4 13:13:02 2023 sparse part has weight 2073231275 (105.68/col)
  187. Tue Apr 4 13:15:00 2023 filtering completed in 2 passes
  188. Tue Apr 4 13:15:03 2023 matrix is 19617799 x 19617961 (8657.1 MB) with weight 2442843348 (124.52/col)
  189. Tue Apr 4 13:15:03 2023 sparse part has weight 2073222526 (105.68/col)
  190. Tue Apr 4 13:15:30 2023 matrix starts at (0, 0)
  191. Tue Apr 4 13:15:31 2023 matrix is 19617799 x 19617961 (8657.1 MB) with weight 2442843348 (124.52/col)
  192. Tue Apr 4 13:15:31 2023 sparse part has weight 2073222526 (105.68/col)
  193. Tue Apr 4 13:15:31 2023 saving the first 240 matrix rows for later
  194. Tue Apr 4 13:15:33 2023 matrix includes 256 packed rows
  195. Tue Apr 4 13:15:38 2023 matrix is 19617559 x 19617961 (8086.9 MB) with weight 1894866201 (96.59/col)
  196. Tue Apr 4 13:15:38 2023 sparse part has weight 1806053314 (92.06/col)
  197. Tue Apr 4 13:15:38 2023 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  198. Tue Apr 4 13:16:17 2023 commencing Lanczos iteration (15 threads)
  199. Tue Apr 4 13:16:17 2023 memory use: 11356.0 MB
  200. Tue Apr 4 13:20:52 2023 lanczos halted after 52 iterations (dim = 13271)
  201. Tue Apr 4 13:20:53 2023 BLanczosTime: 1021
  202. Tue Apr 4 13:20:53 2023
  203. Tue Apr 4 13:20:53 2023 commencing square root phase
  204. Tue Apr 4 13:20:53 2023 handling dependencies 1 to 64
  205. Tue Apr 4 13:20:53 2023 reading relations for dependency 1
  206. Tue Apr 4 13:20:53 2023 error: read_cycles can't open dependency file
  207. Tue Apr 4 13:24:44 2023
  208. Tue Apr 4 13:24:44 2023
  209. Tue Apr 4 13:24:44 2023 Msieve v. 1.54 (SVN 03e8738)
  210. Tue Apr 4 13:24:44 2023 random seeds: dbcb6885 8284a39f
  211. Tue Apr 4 13:24:44 2023 Using 15 OpenMP threads
  212. Tue Apr 4 13:24:44 2023 factoring 1906363430728968150807006553719934611464397278108274817616326313969353352714355166716874599118993395194716508711125634861021069304064720907226846669303567678971322323170413960232346558580664553264997068074470290206711376603267875453871783588684898563515303300980737 (265 digits)
  213. Tue Apr 4 13:24:44 2023 no P-1/P+1/ECM available, skipping
  214. Tue Apr 4 13:24:44 2023 commencing number field sieve (265-digit input)
  215. Tue Apr 4 13:24:44 2023 R0: 542101086242755650687546692947455513561979906
  216. Tue Apr 4 13:24:44 2023 R1: -43143988327398919500410556793212890625
  217. Tue Apr 4 13:24:44 2023 A0: -1
  218. Tue Apr 4 13:24:44 2023 A1: -3
  219. Tue Apr 4 13:24:44 2023 A2: 6
  220. Tue Apr 4 13:24:44 2023 A3: 4
  221. Tue Apr 4 13:24:44 2023 A4: -5
  222. Tue Apr 4 13:24:44 2023 A5: -1
  223. Tue Apr 4 13:24:44 2023 A6: 1
  224. Tue Apr 4 13:24:44 2023 skew 1.00, size 3.729e-13, alpha 3.126, combined = 5.331e-14 rroots = 6
  225. Tue Apr 4 13:24:44 2023
  226. Tue Apr 4 13:24:44 2023 commencing linear algebra
  227. Tue Apr 4 13:24:44 2023 using VBITS=256
  228. Tue Apr 4 13:24:44 2023 skipping matrix build
  229. Tue Apr 4 13:24:47 2023 matrix starts at (0, 0)
  230. Tue Apr 4 13:24:49 2023 matrix is 19617799 x 19617961 (8657.1 MB) with weight 2442843348 (124.52/col)
  231. Tue Apr 4 13:24:49 2023 sparse part has weight 2073222526 (105.68/col)
  232. Tue Apr 4 13:24:49 2023 saving the first 240 matrix rows for later
  233. Tue Apr 4 13:24:52 2023 matrix includes 256 packed rows
  234. Tue Apr 4 13:24:57 2023 matrix is 19617559 x 19617961 (8086.9 MB) with weight 1894866201 (96.59/col)
  235. Tue Apr 4 13:24:57 2023 sparse part has weight 1806053314 (92.06/col)
  236. Tue Apr 4 13:24:57 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  237. Tue Apr 4 13:24:57 2023 selected card has CUDA arch 8.6
  238. Tue Apr 4 13:26:16 2023 commencing Lanczos iteration
  239. Tue Apr 4 13:26:17 2023 memory use: 18868.0 MB
  240. Tue Apr 4 13:27:17 2023 linear algebra at 0.2%, ETA 10h39m
  241. Tue Apr 4 13:28:46 2023 checking every 30000 dimensions, checkpointing every 1860000 dimensions
  242. Tue Apr 4 23:55:40 2023 lanczos halted after 76862 iterations (dim = 19617559)
  243. Tue Apr 4 23:56:34 2023 recovered 33 nontrivial dependencies
  244. Tue Apr 4 23:56:34 2023 BLanczosTime: 37910
  245. Tue Apr 4 23:56:34 2023
  246. Tue Apr 4 23:56:34 2023 commencing square root phase
  247. Tue Apr 4 23:56:34 2023 handling dependencies 1 to 64
  248. Tue Apr 4 23:56:34 2023 reading relations for dependency 1
  249. Tue Apr 4 23:56:36 2023 read 9810580 cycles
  250. Tue Apr 4 23:56:48 2023 cycles contain 33195614 unique relations
  251. Tue Apr 4 23:57:09 2023 read 33195614 relations
  252. Tue Apr 4 23:58:37 2023 multiplying 33195614 relations
  253. Wed Apr 5 00:04:12 2023 multiply complete, coefficients have about 868.78 million bits
  254. Wed Apr 5 00:04:14 2023 initial square root is modulo 62263879
  255. Wed Apr 5 00:07:28 2023 sqrtTime: 654
  256. Wed Apr 5 00:07:28 2023 p88 factor: 4266116111001348485610124609129162256352667574721712733509143889602652618281016603127041
  257. Wed Apr 5 00:07:28 2023 p177 factor: 446861590525604323942524165610759412080418850225578523674280598894949763363574764420003348134831689939432231714187380195911670425183302342256157518336281018086201265753138803457
  258. Wed Apr 5 00:07:28 2023 elapsed time 10:42:44
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