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Jan 3rd, 2024
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  1. Tue Jan 2 18:20:47 2024
  2. Tue Jan 2 18:20:47 2024
  3. Tue Jan 2 18:20:47 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jan 2 18:20:47 2024 random seeds: fc09706e 7adf3f67
  5. Tue Jan 2 18:20:47 2024 Using 64 OpenMP threads
  6. Tue Jan 2 18:20:47 2024 factoring 6184776548058030416060678482656532836118635084635299300715638089322703074886901310357934349005353549217476107989125996528672787158741649377253443171956746698437494696872765519 (175 digits)
  7. Tue Jan 2 18:20:48 2024 searching for 15-digit factors
  8. Tue Jan 2 18:20:48 2024 commencing number field sieve (175-digit input)
  9. Tue Jan 2 18:20:48 2024 R0: -13619150307025473569410141379768464
  10. Tue Jan 2 18:20:48 2024 R1: 354920668033918567
  11. Tue Jan 2 18:20:48 2024 A0: 9956267733331587847318463842133024142955305
  12. Tue Jan 2 18:20:48 2024 A1: 421017930812477560474439026266359331
  13. Tue Jan 2 18:20:48 2024 A2: -100874915908382775960946245171
  14. Tue Jan 2 18:20:48 2024 A3: -644551134160025345167
  15. Tue Jan 2 18:20:48 2024 A4: 20285771279750
  16. Tue Jan 2 18:20:48 2024 A5: 13200
  17. Tue Jan 2 18:20:48 2024 skew 71769272.78, size 4.465e-17, alpha -7.690, combined = 1.754e-13 rroots = 5
  18. Tue Jan 2 18:20:48 2024
  19. Tue Jan 2 18:20:48 2024 commencing relation filtering
  20. Tue Jan 2 18:20:48 2024 setting target matrix density to 140.0
  21. Tue Jan 2 18:20:48 2024 estimated available RAM is 257736.5 MB
  22. Tue Jan 2 18:20:48 2024 commencing duplicate removal, pass 1
  23. Tue Jan 2 18:23:09 2024 error -15 reading relation 197525129
  24. Tue Jan 2 18:23:21 2024 skipped 4 malformed relations
  25. Tue Jan 2 18:23:21 2024 found 9976489 hash collisions in 213884627 relations
  26. Tue Jan 2 18:23:43 2024 commencing duplicate removal, pass 2
  27. Tue Jan 2 18:24:31 2024 found 0 duplicates and 213884627 unique relations
  28. Tue Jan 2 18:24:31 2024 memory use: 554.4 MB
  29. Tue Jan 2 18:24:31 2024 reading ideals above 720000
  30. Tue Jan 2 18:24:31 2024 commencing singleton removal, initial pass
  31. Tue Jan 2 18:32:21 2024 memory use: 5512.0 MB
  32. Tue Jan 2 18:32:21 2024 reading all ideals from disk
  33. Tue Jan 2 18:32:25 2024 memory use: 10302.2 MB
  34. Tue Jan 2 18:32:47 2024 keeping 179492699 ideals with weight <= 200, target excess is 1139853
  35. Tue Jan 2 18:33:14 2024 commencing in-memory singleton removal
  36. Tue Jan 2 18:33:16 2024 begin with 213884627 relations and 179492699 unique ideals
  37. Tue Jan 2 18:33:25 2024 reduce to 154058133 relations and 114677993 ideals in 13 passes
  38. Tue Jan 2 18:33:25 2024 max relations containing the same ideal: 171
  39. Tue Jan 2 18:34:11 2024 removing 9556354 relations and 7556354 ideals in 2000000 cliques
  40. Tue Jan 2 18:34:16 2024 commencing in-memory singleton removal
  41. Tue Jan 2 18:34:17 2024 begin with 144501779 relations and 114677993 unique ideals
  42. Tue Jan 2 18:34:22 2024 reduce to 144062909 relations and 106675464 ideals in 7 passes
  43. Tue Jan 2 18:34:22 2024 max relations containing the same ideal: 163
  44. Tue Jan 2 18:35:05 2024 removing 7338721 relations and 5338721 ideals in 2000000 cliques
  45. Tue Jan 2 18:35:09 2024 commencing in-memory singleton removal
  46. Tue Jan 2 18:35:10 2024 begin with 136724188 relations and 106675464 unique ideals
  47. Tue Jan 2 18:35:15 2024 reduce to 136426320 relations and 101034697 ideals in 7 passes
  48. Tue Jan 2 18:35:15 2024 max relations containing the same ideal: 158
  49. Tue Jan 2 18:35:55 2024 removing 6702437 relations and 4702437 ideals in 2000000 cliques
  50. Tue Jan 2 18:35:59 2024 commencing in-memory singleton removal
  51. Tue Jan 2 18:36:00 2024 begin with 129723883 relations and 101034697 unique ideals
  52. Tue Jan 2 18:36:04 2024 reduce to 129465610 relations and 96070272 ideals in 6 passes
  53. Tue Jan 2 18:36:04 2024 max relations containing the same ideal: 152
  54. Tue Jan 2 18:36:41 2024 removing 6369813 relations and 4369813 ideals in 2000000 cliques
  55. Tue Jan 2 18:36:45 2024 commencing in-memory singleton removal
  56. Tue Jan 2 18:36:46 2024 begin with 123095797 relations and 96070272 unique ideals
  57. Tue Jan 2 18:36:49 2024 reduce to 122858831 relations and 91459995 ideals in 6 passes
  58. Tue Jan 2 18:36:49 2024 max relations containing the same ideal: 145
  59. Tue Jan 2 18:37:24 2024 removing 6160836 relations and 4160836 ideals in 2000000 cliques
  60. Tue Jan 2 18:37:27 2024 commencing in-memory singleton removal
  61. Tue Jan 2 18:37:29 2024 begin with 116697995 relations and 91459995 unique ideals
  62. Tue Jan 2 18:37:32 2024 reduce to 116470730 relations and 87068449 ideals in 6 passes
  63. Tue Jan 2 18:37:32 2024 max relations containing the same ideal: 141
  64. Tue Jan 2 18:38:06 2024 removing 6018244 relations and 4018244 ideals in 2000000 cliques
  65. Tue Jan 2 18:38:09 2024 commencing in-memory singleton removal
  66. Tue Jan 2 18:38:10 2024 begin with 110452486 relations and 87068449 unique ideals
  67. Tue Jan 2 18:38:13 2024 reduce to 110231044 relations and 82825338 ideals in 6 passes
  68. Tue Jan 2 18:38:13 2024 max relations containing the same ideal: 137
  69. Tue Jan 2 18:38:44 2024 removing 5903219 relations and 3903219 ideals in 2000000 cliques
  70. Tue Jan 2 18:38:48 2024 commencing in-memory singleton removal
  71. Tue Jan 2 18:38:49 2024 begin with 104327825 relations and 82825338 unique ideals
  72. Tue Jan 2 18:38:51 2024 reduce to 104108825 relations and 78699398 ideals in 6 passes
  73. Tue Jan 2 18:38:51 2024 max relations containing the same ideal: 135
  74. Tue Jan 2 18:39:21 2024 removing 5825092 relations and 3825092 ideals in 2000000 cliques
  75. Tue Jan 2 18:39:25 2024 commencing in-memory singleton removal
  76. Tue Jan 2 18:39:26 2024 begin with 98283733 relations and 78699398 unique ideals
  77. Tue Jan 2 18:39:28 2024 reduce to 98063531 relations and 74650116 ideals in 6 passes
  78. Tue Jan 2 18:39:28 2024 max relations containing the same ideal: 131
  79. Tue Jan 2 18:39:58 2024 removing 5764249 relations and 3764249 ideals in 2000000 cliques
  80. Tue Jan 2 18:40:01 2024 commencing in-memory singleton removal
  81. Tue Jan 2 18:40:02 2024 begin with 92299282 relations and 74650116 unique ideals
  82. Tue Jan 2 18:40:04 2024 reduce to 92075205 relations and 70657592 ideals in 6 passes
  83. Tue Jan 2 18:40:04 2024 max relations containing the same ideal: 125
  84. Tue Jan 2 18:40:31 2024 removing 5713777 relations and 3713777 ideals in 2000000 cliques
  85. Tue Jan 2 18:40:34 2024 commencing in-memory singleton removal
  86. Tue Jan 2 18:40:35 2024 begin with 86361428 relations and 70657592 unique ideals
  87. Tue Jan 2 18:40:37 2024 reduce to 86132217 relations and 66710095 ideals in 6 passes
  88. Tue Jan 2 18:40:37 2024 max relations containing the same ideal: 119
  89. Tue Jan 2 18:41:03 2024 removing 5681397 relations and 3681397 ideals in 2000000 cliques
  90. Tue Jan 2 18:41:05 2024 commencing in-memory singleton removal
  91. Tue Jan 2 18:41:06 2024 begin with 80450820 relations and 66710095 unique ideals
  92. Tue Jan 2 18:41:08 2024 reduce to 80213784 relations and 62786708 ideals in 6 passes
  93. Tue Jan 2 18:41:08 2024 max relations containing the same ideal: 113
  94. Tue Jan 2 18:41:32 2024 removing 5651954 relations and 3651954 ideals in 2000000 cliques
  95. Tue Jan 2 18:41:35 2024 commencing in-memory singleton removal
  96. Tue Jan 2 18:41:35 2024 begin with 74561830 relations and 62786708 unique ideals
  97. Tue Jan 2 18:41:37 2024 reduce to 74313594 relations and 58880991 ideals in 6 passes
  98. Tue Jan 2 18:41:37 2024 max relations containing the same ideal: 105
  99. Tue Jan 2 18:42:00 2024 removing 5640705 relations and 3640705 ideals in 2000000 cliques
  100. Tue Jan 2 18:42:02 2024 commencing in-memory singleton removal
  101. Tue Jan 2 18:42:03 2024 begin with 68672889 relations and 58880991 unique ideals
  102. Tue Jan 2 18:42:05 2024 reduce to 68412567 relations and 54973868 ideals in 6 passes
  103. Tue Jan 2 18:42:05 2024 max relations containing the same ideal: 99
  104. Tue Jan 2 18:42:25 2024 removing 5629377 relations and 3629377 ideals in 2000000 cliques
  105. Tue Jan 2 18:42:27 2024 commencing in-memory singleton removal
  106. Tue Jan 2 18:42:28 2024 begin with 62783190 relations and 54973868 unique ideals
  107. Tue Jan 2 18:42:30 2024 reduce to 62508269 relations and 51062621 ideals in 6 passes
  108. Tue Jan 2 18:42:30 2024 max relations containing the same ideal: 94
  109. Tue Jan 2 18:42:49 2024 removing 5628565 relations and 3628565 ideals in 2000000 cliques
  110. Tue Jan 2 18:42:51 2024 commencing in-memory singleton removal
  111. Tue Jan 2 18:42:52 2024 begin with 56879704 relations and 51062621 unique ideals
  112. Tue Jan 2 18:42:53 2024 reduce to 56583147 relations and 47129639 ideals in 6 passes
  113. Tue Jan 2 18:42:54 2024 max relations containing the same ideal: 88
  114. Tue Jan 2 18:43:13 2024 removing 5631339 relations and 3631339 ideals in 2000000 cliques
  115. Tue Jan 2 18:43:15 2024 commencing in-memory singleton removal
  116. Tue Jan 2 18:43:16 2024 begin with 50951808 relations and 47129639 unique ideals
  117. Tue Jan 2 18:43:17 2024 reduce to 50629880 relations and 43166787 ideals in 6 passes
  118. Tue Jan 2 18:43:17 2024 max relations containing the same ideal: 82
  119. Tue Jan 2 18:43:37 2024 removing 5640034 relations and 3640034 ideals in 2000000 cliques
  120. Tue Jan 2 18:43:40 2024 commencing in-memory singleton removal
  121. Tue Jan 2 18:43:41 2024 begin with 44989846 relations and 43166787 unique ideals
  122. Tue Jan 2 18:43:43 2024 reduce to 44634095 relations and 39159304 ideals in 7 passes
  123. Tue Jan 2 18:43:44 2024 max relations containing the same ideal: 77
  124. Tue Jan 2 18:44:02 2024 removing 5656273 relations and 3656273 ideals in 2000000 cliques
  125. Tue Jan 2 18:44:04 2024 commencing in-memory singleton removal
  126. Tue Jan 2 18:44:05 2024 begin with 38977822 relations and 39159304 unique ideals
  127. Tue Jan 2 18:44:06 2024 reduce to 38571510 relations and 35081932 ideals in 7 passes
  128. Tue Jan 2 18:44:06 2024 max relations containing the same ideal: 72
  129. Tue Jan 2 18:44:19 2024 removing 5684013 relations and 3684013 ideals in 2000000 cliques
  130. Tue Jan 2 18:44:21 2024 commencing in-memory singleton removal
  131. Tue Jan 2 18:44:21 2024 begin with 32887497 relations and 35081932 unique ideals
  132. Tue Jan 2 18:44:22 2024 reduce to 32401831 relations and 30891779 ideals in 8 passes
  133. Tue Jan 2 18:44:22 2024 max relations containing the same ideal: 64
  134. Tue Jan 2 18:44:32 2024 removing 785781 relations and 597959 ideals in 187822 cliques
  135. Tue Jan 2 18:44:33 2024 commencing in-memory singleton removal
  136. Tue Jan 2 18:44:33 2024 begin with 31616050 relations and 30891779 unique ideals
  137. Tue Jan 2 18:44:34 2024 reduce to 31601965 relations and 30279663 ideals in 5 passes
  138. Tue Jan 2 18:44:34 2024 max relations containing the same ideal: 63
  139. Tue Jan 2 18:44:38 2024 relations with 0 large ideals: 3725
  140. Tue Jan 2 18:44:38 2024 relations with 1 large ideals: 23920
  141. Tue Jan 2 18:44:38 2024 relations with 2 large ideals: 307235
  142. Tue Jan 2 18:44:38 2024 relations with 3 large ideals: 1676641
  143. Tue Jan 2 18:44:38 2024 relations with 4 large ideals: 4800989
  144. Tue Jan 2 18:44:38 2024 relations with 5 large ideals: 8044401
  145. Tue Jan 2 18:44:38 2024 relations with 6 large ideals: 8389105
  146. Tue Jan 2 18:44:38 2024 relations with 7+ large ideals: 8355949
  147. Tue Jan 2 18:44:38 2024 commencing 2-way merge
  148. Tue Jan 2 18:44:53 2024 reduce to 21863337 relation sets and 20541035 unique ideals
  149. Tue Jan 2 18:44:53 2024 commencing full merge
  150. Tue Jan 2 18:53:30 2024 memory use: 2717.5 MB
  151. Tue Jan 2 18:53:33 2024 found 9731623 cycles, need 9633235
  152. Tue Jan 2 18:53:36 2024 weight of 9633235 cycles is about 1348993190 (140.04/cycle)
  153. Tue Jan 2 18:53:36 2024 distribution of cycle lengths:
  154. Tue Jan 2 18:53:36 2024 1 relations: 130304
  155. Tue Jan 2 18:53:36 2024 2 relations: 403684
  156. Tue Jan 2 18:53:36 2024 3 relations: 560473
  157. Tue Jan 2 18:53:36 2024 4 relations: 628748
  158. Tue Jan 2 18:53:36 2024 5 relations: 694031
  159. Tue Jan 2 18:53:36 2024 6 relations: 717631
  160. Tue Jan 2 18:53:36 2024 7 relations: 728176
  161. Tue Jan 2 18:53:36 2024 8 relations: 711753
  162. Tue Jan 2 18:53:36 2024 9 relations: 683645
  163. Tue Jan 2 18:53:36 2024 10+ relations: 4374790
  164. Tue Jan 2 18:53:36 2024 heaviest cycle: 28 relations
  165. Tue Jan 2 18:53:39 2024 commencing cycle optimization
  166. Tue Jan 2 18:54:01 2024 start with 92684790 relations
  167. Tue Jan 2 18:57:44 2024 pruned 5509197 relations
  168. Tue Jan 2 18:57:44 2024 memory use: 2269.2 MB
  169. Tue Jan 2 18:57:44 2024 distribution of cycle lengths:
  170. Tue Jan 2 18:57:44 2024 1 relations: 130304
  171. Tue Jan 2 18:57:44 2024 2 relations: 417446
  172. Tue Jan 2 18:57:44 2024 3 relations: 590141
  173. Tue Jan 2 18:57:44 2024 4 relations: 665105
  174. Tue Jan 2 18:57:44 2024 5 relations: 742437
  175. Tue Jan 2 18:57:44 2024 6 relations: 769984
  176. Tue Jan 2 18:57:44 2024 7 relations: 784782
  177. Tue Jan 2 18:57:44 2024 8 relations: 765538
  178. Tue Jan 2 18:57:44 2024 9 relations: 732890
  179. Tue Jan 2 18:57:44 2024 10+ relations: 4034608
  180. Tue Jan 2 18:57:44 2024 heaviest cycle: 28 relations
  181. Tue Jan 2 18:57:56 2024 RelProcTime: 2228
  182. Tue Jan 2 18:57:56 2024
  183. Tue Jan 2 18:57:56 2024 commencing linear algebra
  184. Tue Jan 2 18:57:56 2024 using VBITS=256
  185. Tue Jan 2 18:57:57 2024 read 9633235 cycles
  186. Tue Jan 2 18:58:16 2024 cycles contain 31079585 unique relations
  187. Tue Jan 2 18:58:42 2024 read 31079585 relations
  188. Tue Jan 2 18:58:45 2024 using 20 quadratic characters above 4294917295
  189. Tue Jan 2 18:58:49 2024 building initial matrix
  190. Tue Jan 2 19:07:10 2024 memory use: 4379.1 MB
  191. Tue Jan 2 19:07:15 2024 read 9633235 cycles
  192. Tue Jan 2 19:07:16 2024 matrix is 9633056 x 9633235 (5094.6 MB) with weight 1542872703 (160.16/col)
  193. Tue Jan 2 19:07:16 2024 sparse part has weight 1229555250 (127.64/col)
  194. Tue Jan 2 19:09:10 2024 filtering completed in 2 passes
  195. Tue Jan 2 19:09:12 2024 matrix is 9632970 x 9633149 (5094.6 MB) with weight 1542868136 (160.16/col)
  196. Tue Jan 2 19:09:12 2024 sparse part has weight 1229553458 (127.64/col)
  197. Tue Jan 2 19:10:15 2024 matrix starts at (0, 0)
  198. Tue Jan 2 19:10:16 2024 matrix is 9632970 x 9633149 (5094.6 MB) with weight 1542868136 (160.16/col)
  199. Tue Jan 2 19:10:16 2024 sparse part has weight 1229553458 (127.64/col)
  200. Tue Jan 2 19:10:16 2024 saving the first 240 matrix rows for later
  201. Tue Jan 2 19:10:18 2024 matrix includes 256 packed rows
  202. Tue Jan 2 19:10:21 2024 matrix is 9632730 x 9633149 (4617.0 MB) with weight 1125588738 (116.85/col)
  203. Tue Jan 2 19:10:21 2024 sparse part has weight 1056193417 (109.64/col)
  204. Tue Jan 2 19:10:21 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  205. Tue Jan 2 19:10:43 2024 commencing Lanczos iteration (64 threads)
  206. Tue Jan 2 19:10:43 2024 memory use: 6117.4 MB
  207. Tue Jan 2 19:12:10 2024 linear algebra at 0.3%, ETA 7h24m
  208. Tue Jan 2 19:14:14 2024 checking every 20000 dimensions, checkpointing every 1340000 dimensions
  209. Wed Jan 3 02:30:12 2024 lanczos halted after 37741 iterations (dim = 9632728)
  210. Wed Jan 3 02:30:52 2024 recovered 27 nontrivial dependencies
  211. Wed Jan 3 02:30:53 2024 BLanczosTime: 27177
  212. Wed Jan 3 02:30:53 2024
  213. Wed Jan 3 02:30:53 2024 commencing square root phase
  214. Wed Jan 3 02:30:53 2024 handling dependencies 1 to 64
  215. Wed Jan 3 02:30:53 2024 reading relations for dependency 1
  216. Wed Jan 3 02:30:54 2024 read 4815055 cycles
  217. Wed Jan 3 02:31:02 2024 cycles contain 15537334 unique relations
  218. Wed Jan 3 02:31:19 2024 read 15537334 relations
  219. Wed Jan 3 02:32:19 2024 multiplying 15537334 relations
  220. Wed Jan 3 02:34:38 2024 multiply complete, coefficients have about 873.73 million bits
  221. Wed Jan 3 02:34:41 2024 initial square root is modulo 68973013
  222. Wed Jan 3 02:41:15 2024 sqrtTime: 622
  223. Wed Jan 3 02:41:15 2024 p70 factor: 7334724164305971659126229886311034889732394633513650926018275214883197
  224. Wed Jan 3 02:41:15 2024 p105 factor: 843218696369783401240684908424343714633356799328962235521073114087189523988262962366604627304999601533627
  225. Wed Jan 3 02:41:15 2024 elapsed time 08:20:28
  226.  
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