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Aug 1st, 2024
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  1. Thu Aug 1 00:38:09 2024
  2. Thu Aug 1 00:38:09 2024
  3. Thu Aug 1 00:38:09 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Aug 1 00:38:09 2024 random seeds: a7ed3de4 a3499d05
  5. Thu Aug 1 00:38:09 2024 Using 64 OpenMP threads
  6. Thu Aug 1 00:38:09 2024 factoring 754131220157066268939370488124925885444631727934966524097235856675013670239338872169606861226435332958520444498930414631240115101178286216723601338115619259753542401720229 (171 digits)
  7. Thu Aug 1 00:38:10 2024 searching for 15-digit factors
  8. Thu Aug 1 00:38:10 2024 commencing number field sieve (171-digit input)
  9. Thu Aug 1 00:38:10 2024 R0: -2099660049206380617884810995458165
  10. Thu Aug 1 00:38:10 2024 R1: 190856434634468131
  11. Thu Aug 1 00:38:10 2024 A0: 27999058873546112345579909061623289296938544
  12. Thu Aug 1 00:38:10 2024 A1: 549171742132416858691763245049378764
  13. Thu Aug 1 00:38:10 2024 A2: -39974126974711558556255196168
  14. Thu Aug 1 00:38:10 2024 A3: -484027302947646996469
  15. Thu Aug 1 00:38:10 2024 A4: 13665372796894
  16. Thu Aug 1 00:38:10 2024 A5: 18480
  17. Thu Aug 1 00:38:10 2024 skew 63838865.09, size 1.057e-16, alpha -7.787, combined = 2.909e-13 rroots = 5
  18. Thu Aug 1 00:38:10 2024
  19. Thu Aug 1 00:38:10 2024 commencing relation filtering
  20. Thu Aug 1 00:38:10 2024 setting target matrix density to 140.0
  21. Thu Aug 1 00:38:10 2024 estimated available RAM is 515996.3 MB
  22. Thu Aug 1 00:38:10 2024 commencing duplicate removal, pass 1
  23. Thu Aug 1 00:38:16 2024 error -1 reading relation 2351585
  24. Thu Aug 1 00:39:15 2024 error -1 reading relation 35543508
  25. Thu Aug 1 00:39:25 2024 error -1 reading relation 41050729
  26. Thu Aug 1 00:39:42 2024 error -1 reading relation 50789440
  27. Thu Aug 1 00:40:11 2024 error -1 reading relation 67962431
  28. Thu Aug 1 00:40:22 2024 error -1 reading relation 73981307
  29. Thu Aug 1 00:40:33 2024 error -1 reading relation 80076940
  30. Thu Aug 1 00:40:40 2024 error -1 reading relation 84347736
  31. Thu Aug 1 00:40:41 2024 error -1 reading relation 84910185
  32. Thu Aug 1 00:40:43 2024 error -1 reading relation 86131453
  33. Thu Aug 1 00:40:56 2024 error -1 reading relation 92749004
  34. Thu Aug 1 00:40:57 2024 error -1 reading relation 92930503
  35. Thu Aug 1 00:41:01 2024 error -1 reading relation 95528637
  36. Thu Aug 1 00:41:09 2024 error -1 reading relation 100211168
  37. Thu Aug 1 00:41:09 2024 error -1 reading relation 100401212
  38. Thu Aug 1 00:41:17 2024 error -1 reading relation 104784506
  39. Thu Aug 1 00:41:20 2024 error -1 reading relation 106721480
  40. Thu Aug 1 00:41:20 2024 error -15 reading relation 106798185
  41. Thu Aug 1 00:41:41 2024 error -1 reading relation 118857562
  42. Thu Aug 1 00:41:42 2024 error -1 reading relation 119447903
  43. Thu Aug 1 00:41:43 2024 error -1 reading relation 119918701
  44. Thu Aug 1 00:41:44 2024 error -15 reading relation 120068186
  45. Thu Aug 1 00:41:49 2024 error -1 reading relation 122786836
  46. Thu Aug 1 00:41:55 2024 error -1 reading relation 126293508
  47. Thu Aug 1 00:42:03 2024 error -1 reading relation 131194773
  48. Thu Aug 1 00:42:05 2024 error -1 reading relation 132225866
  49. Thu Aug 1 00:42:07 2024 error -1 reading relation 133169840
  50. Thu Aug 1 00:42:34 2024 error -1 reading relation 148537353
  51. Thu Aug 1 00:42:45 2024 error -1 reading relation 154267063
  52. Thu Aug 1 00:42:47 2024 error -1 reading relation 155606168
  53. Thu Aug 1 00:43:08 2024 error -1 reading relation 166781606
  54. Thu Aug 1 00:43:08 2024 error -1 reading relation 166868059
  55. Thu Aug 1 00:43:09 2024 error -11 reading relation 166942943
  56. Thu Aug 1 00:43:14 2024 error -1 reading relation 169805845
  57. Thu Aug 1 00:43:16 2024 error -1 reading relation 170942745
  58. Thu Aug 1 00:43:22 2024 skipped 1 relations with b > 2^32
  59. Thu Aug 1 00:43:22 2024 skipped 238 malformed relations
  60. Thu Aug 1 00:43:22 2024 found 44124474 hash collisions in 173924422 relations
  61. Thu Aug 1 00:43:44 2024 added 121395 free relations
  62. Thu Aug 1 00:43:44 2024 commencing duplicate removal, pass 2
  63. Thu Aug 1 00:47:11 2024 found 50831977 duplicates and 123213840 unique relations
  64. Thu Aug 1 00:47:11 2024 memory use: 1321.5 MB
  65. Thu Aug 1 00:47:11 2024 reading ideals above 720000
  66. Thu Aug 1 00:47:11 2024 commencing singleton removal, initial pass
  67. Thu Aug 1 00:54:47 2024 memory use: 2756.0 MB
  68. Thu Aug 1 00:54:47 2024 reading all ideals from disk
  69. Thu Aug 1 00:54:49 2024 memory use: 5800.3 MB
  70. Thu Aug 1 00:55:01 2024 keeping 97531141 ideals with weight <= 200, target excess is 664611
  71. Thu Aug 1 00:55:16 2024 commencing in-memory singleton removal
  72. Thu Aug 1 00:55:18 2024 begin with 123213840 relations and 97531141 unique ideals
  73. Thu Aug 1 00:55:24 2024 reduce to 99541409 relations and 72454879 ideals in 11 passes
  74. Thu Aug 1 00:55:24 2024 max relations containing the same ideal: 182
  75. Thu Aug 1 00:55:51 2024 removing 7181805 relations and 5181805 ideals in 2000000 cliques
  76. Thu Aug 1 00:55:55 2024 commencing in-memory singleton removal
  77. Thu Aug 1 00:55:56 2024 begin with 92359604 relations and 72454879 unique ideals
  78. Thu Aug 1 00:56:00 2024 reduce to 91919525 relations and 66821723 ideals in 7 passes
  79. Thu Aug 1 00:56:00 2024 max relations containing the same ideal: 174
  80. Thu Aug 1 00:56:25 2024 removing 5843044 relations and 3843044 ideals in 2000000 cliques
  81. Thu Aug 1 00:56:28 2024 commencing in-memory singleton removal
  82. Thu Aug 1 00:56:29 2024 begin with 86076481 relations and 66821723 unique ideals
  83. Thu Aug 1 00:56:32 2024 reduce to 85777897 relations and 62673533 ideals in 6 passes
  84. Thu Aug 1 00:56:32 2024 max relations containing the same ideal: 168
  85. Thu Aug 1 00:56:55 2024 removing 5495744 relations and 3495744 ideals in 2000000 cliques
  86. Thu Aug 1 00:56:58 2024 commencing in-memory singleton removal
  87. Thu Aug 1 00:56:59 2024 begin with 80282153 relations and 62673533 unique ideals
  88. Thu Aug 1 00:57:02 2024 reduce to 80020069 relations and 58909979 ideals in 6 passes
  89. Thu Aug 1 00:57:02 2024 max relations containing the same ideal: 159
  90. Thu Aug 1 00:57:24 2024 removing 5323899 relations and 3323899 ideals in 2000000 cliques
  91. Thu Aug 1 00:57:27 2024 commencing in-memory singleton removal
  92. Thu Aug 1 00:57:28 2024 begin with 74696170 relations and 58909979 unique ideals
  93. Thu Aug 1 00:57:30 2024 reduce to 74448807 relations and 55332997 ideals in 6 passes
  94. Thu Aug 1 00:57:30 2024 max relations containing the same ideal: 150
  95. Thu Aug 1 00:57:51 2024 removing 5219983 relations and 3219983 ideals in 2000000 cliques
  96. Thu Aug 1 00:57:54 2024 commencing in-memory singleton removal
  97. Thu Aug 1 00:57:55 2024 begin with 69228824 relations and 55332997 unique ideals
  98. Thu Aug 1 00:57:57 2024 reduce to 68985577 relations and 51863878 ideals in 6 passes
  99. Thu Aug 1 00:57:57 2024 max relations containing the same ideal: 144
  100. Thu Aug 1 00:58:18 2024 removing 5157053 relations and 3157053 ideals in 2000000 cliques
  101. Thu Aug 1 00:58:21 2024 commencing in-memory singleton removal
  102. Thu Aug 1 00:58:22 2024 begin with 63828524 relations and 51863878 unique ideals
  103. Thu Aug 1 00:58:24 2024 reduce to 63577708 relations and 48449704 ideals in 6 passes
  104. Thu Aug 1 00:58:24 2024 max relations containing the same ideal: 137
  105. Thu Aug 1 00:58:42 2024 removing 5123310 relations and 3123310 ideals in 2000000 cliques
  106. Thu Aug 1 00:58:44 2024 commencing in-memory singleton removal
  107. Thu Aug 1 00:58:45 2024 begin with 58454398 relations and 48449704 unique ideals
  108. Thu Aug 1 00:58:47 2024 reduce to 58191363 relations and 45056425 ideals in 6 passes
  109. Thu Aug 1 00:58:47 2024 max relations containing the same ideal: 130
  110. Thu Aug 1 00:59:03 2024 removing 5108771 relations and 3108771 ideals in 2000000 cliques
  111. Thu Aug 1 00:59:06 2024 commencing in-memory singleton removal
  112. Thu Aug 1 00:59:06 2024 begin with 53082592 relations and 45056425 unique ideals
  113. Thu Aug 1 00:59:08 2024 reduce to 52797195 relations and 41654187 ideals in 6 passes
  114. Thu Aug 1 00:59:08 2024 max relations containing the same ideal: 124
  115. Thu Aug 1 00:59:23 2024 removing 5118704 relations and 3118704 ideals in 2000000 cliques
  116. Thu Aug 1 00:59:25 2024 commencing in-memory singleton removal
  117. Thu Aug 1 00:59:26 2024 begin with 47678491 relations and 41654187 unique ideals
  118. Thu Aug 1 00:59:27 2024 reduce to 47362151 relations and 38209283 ideals in 6 passes
  119. Thu Aug 1 00:59:27 2024 max relations containing the same ideal: 112
  120. Thu Aug 1 00:59:41 2024 removing 5151053 relations and 3151053 ideals in 2000000 cliques
  121. Thu Aug 1 00:59:43 2024 commencing in-memory singleton removal
  122. Thu Aug 1 00:59:44 2024 begin with 42211098 relations and 38209283 unique ideals
  123. Thu Aug 1 00:59:45 2024 reduce to 41850131 relations and 34684870 ideals in 7 passes
  124. Thu Aug 1 00:59:45 2024 max relations containing the same ideal: 102
  125. Thu Aug 1 00:59:58 2024 removing 5211031 relations and 3211031 ideals in 2000000 cliques
  126. Thu Aug 1 01:00:00 2024 commencing in-memory singleton removal
  127. Thu Aug 1 01:00:00 2024 begin with 36639100 relations and 34684870 unique ideals
  128. Thu Aug 1 01:00:01 2024 reduce to 36213608 relations and 31031734 ideals in 7 passes
  129. Thu Aug 1 01:00:01 2024 max relations containing the same ideal: 95
  130. Thu Aug 1 01:00:13 2024 removing 5300861 relations and 3300861 ideals in 2000000 cliques
  131. Thu Aug 1 01:00:15 2024 commencing in-memory singleton removal
  132. Thu Aug 1 01:00:15 2024 begin with 30912747 relations and 31031734 unique ideals
  133. Thu Aug 1 01:00:16 2024 reduce to 30391852 relations and 27186534 ideals in 7 passes
  134. Thu Aug 1 01:00:16 2024 max relations containing the same ideal: 88
  135. Thu Aug 1 01:00:26 2024 removing 5437121 relations and 3437121 ideals in 2000000 cliques
  136. Thu Aug 1 01:00:28 2024 commencing in-memory singleton removal
  137. Thu Aug 1 01:00:28 2024 begin with 24954731 relations and 27186534 unique ideals
  138. Thu Aug 1 01:00:29 2024 reduce to 24274427 relations and 23032116 ideals in 8 passes
  139. Thu Aug 1 01:00:29 2024 max relations containing the same ideal: 75
  140. Thu Aug 1 01:00:37 2024 removing 1719864 relations and 1248502 ideals in 471362 cliques
  141. Thu Aug 1 01:00:38 2024 commencing in-memory singleton removal
  142. Thu Aug 1 01:00:39 2024 begin with 22554563 relations and 23032116 unique ideals
  143. Thu Aug 1 01:00:39 2024 reduce to 22438622 relations and 21665495 ideals in 6 passes
  144. Thu Aug 1 01:00:39 2024 max relations containing the same ideal: 71
  145. Thu Aug 1 01:00:50 2024 relations with 0 large ideals: 2341
  146. Thu Aug 1 01:00:50 2024 relations with 1 large ideals: 10743
  147. Thu Aug 1 01:00:50 2024 relations with 2 large ideals: 147711
  148. Thu Aug 1 01:00:50 2024 relations with 3 large ideals: 877383
  149. Thu Aug 1 01:00:50 2024 relations with 4 large ideals: 2765394
  150. Thu Aug 1 01:00:50 2024 relations with 5 large ideals: 5166210
  151. Thu Aug 1 01:00:50 2024 relations with 6 large ideals: 6082408
  152. Thu Aug 1 01:00:50 2024 relations with 7+ large ideals: 7386432
  153. Thu Aug 1 01:00:50 2024 commencing 2-way merge
  154. Thu Aug 1 01:01:01 2024 reduce to 15409956 relation sets and 14636829 unique ideals
  155. Thu Aug 1 01:01:01 2024 commencing full merge
  156. Thu Aug 1 01:05:45 2024 memory use: 1867.7 MB
  157. Thu Aug 1 01:05:46 2024 found 6643219 cycles, need 6617029
  158. Thu Aug 1 01:05:48 2024 weight of 6617029 cycles is about 926684704 (140.05/cycle)
  159. Thu Aug 1 01:05:48 2024 distribution of cycle lengths:
  160. Thu Aug 1 01:05:48 2024 1 relations: 174985
  161. Thu Aug 1 01:05:48 2024 2 relations: 318489
  162. Thu Aug 1 01:05:48 2024 3 relations: 398570
  163. Thu Aug 1 01:05:48 2024 4 relations: 434496
  164. Thu Aug 1 01:05:48 2024 5 relations: 464270
  165. Thu Aug 1 01:05:48 2024 6 relations: 472283
  166. Thu Aug 1 01:05:48 2024 7 relations: 477469
  167. Thu Aug 1 01:05:48 2024 8 relations: 463252
  168. Thu Aug 1 01:05:48 2024 9 relations: 441424
  169. Thu Aug 1 01:05:48 2024 10+ relations: 2971791
  170. Thu Aug 1 01:05:48 2024 heaviest cycle: 28 relations
  171. Thu Aug 1 01:05:50 2024 commencing cycle optimization
  172. Thu Aug 1 01:06:01 2024 start with 63675136 relations
  173. Thu Aug 1 01:08:05 2024 pruned 3836039 relations
  174. Thu Aug 1 01:08:05 2024 memory use: 1579.3 MB
  175. Thu Aug 1 01:08:05 2024 distribution of cycle lengths:
  176. Thu Aug 1 01:08:05 2024 1 relations: 174985
  177. Thu Aug 1 01:08:05 2024 2 relations: 328971
  178. Thu Aug 1 01:08:05 2024 3 relations: 419159
  179. Thu Aug 1 01:08:05 2024 4 relations: 458280
  180. Thu Aug 1 01:08:05 2024 5 relations: 495319
  181. Thu Aug 1 01:08:05 2024 6 relations: 505706
  182. Thu Aug 1 01:08:05 2024 7 relations: 512529
  183. Thu Aug 1 01:08:05 2024 8 relations: 496735
  184. Thu Aug 1 01:08:05 2024 9 relations: 471996
  185. Thu Aug 1 01:08:05 2024 10+ relations: 2753349
  186. Thu Aug 1 01:08:05 2024 heaviest cycle: 28 relations
  187. Thu Aug 1 01:08:12 2024 RelProcTime: 1802
  188. Thu Aug 1 01:08:12 2024
  189. Thu Aug 1 01:08:12 2024 commencing linear algebra
  190. Thu Aug 1 01:08:12 2024 using VBITS=256
  191. Thu Aug 1 01:08:13 2024 read 6617029 cycles
  192. Thu Aug 1 01:08:23 2024 cycles contain 22074969 unique relations
  193. Thu Aug 1 01:10:39 2024 read 22074969 relations
  194. Thu Aug 1 01:10:41 2024 using 20 quadratic characters above 4294917295
  195. Thu Aug 1 01:10:43 2024 building initial matrix
  196. Thu Aug 1 01:15:11 2024 memory use: 3174.7 MB
  197. Thu Aug 1 01:15:15 2024 read 6617029 cycles
  198. Thu Aug 1 01:15:15 2024 matrix is 6616851 x 6617029 (3522.5 MB) with weight 1070182087 (161.73/col)
  199. Thu Aug 1 01:15:15 2024 sparse part has weight 843990898 (127.55/col)
  200. Thu Aug 1 01:16:29 2024 filtering completed in 2 passes
  201. Thu Aug 1 01:16:30 2024 matrix is 6616783 x 6616961 (3522.5 MB) with weight 1070178278 (161.73/col)
  202. Thu Aug 1 01:16:30 2024 sparse part has weight 843989552 (127.55/col)
  203. Thu Aug 1 01:16:52 2024 matrix starts at (0, 0)
  204. Thu Aug 1 01:16:53 2024 matrix is 6616783 x 6616961 (3522.5 MB) with weight 1070178278 (161.73/col)
  205. Thu Aug 1 01:16:53 2024 sparse part has weight 843989552 (127.55/col)
  206. Thu Aug 1 01:16:53 2024 saving the first 240 matrix rows for later
  207. Thu Aug 1 01:16:55 2024 matrix includes 256 packed rows
  208. Thu Aug 1 01:16:57 2024 matrix is 6616543 x 6616961 (3157.0 MB) with weight 772154749 (116.69/col)
  209. Thu Aug 1 01:16:57 2024 sparse part has weight 721719285 (109.07/col)
  210. Thu Aug 1 01:16:57 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  211. Thu Aug 1 01:17:12 2024 commencing Lanczos iteration (64 threads)
  212. Thu Aug 1 01:17:12 2024 memory use: 4168.0 MB
  213. Thu Aug 1 01:18:16 2024 linear algebra at 0.5%, ETA 3h45m
  214. Thu Aug 1 01:19:52 2024 checking every 20000 dimensions, checkpointing every 1740000 dimensions
  215. Thu Aug 1 05:04:18 2024 lanczos halted after 25924 iterations (dim = 6616540)
  216. Thu Aug 1 05:04:49 2024 recovered 27 nontrivial dependencies
  217. Thu Aug 1 05:04:49 2024 BLanczosTime: 14197
  218. Thu Aug 1 05:04:49 2024
  219. Thu Aug 1 05:04:49 2024 commencing square root phase
  220. Thu Aug 1 05:04:49 2024 handling dependencies 1 to 64
  221. Thu Aug 1 05:04:49 2024 reading relations for dependency 1
  222. Thu Aug 1 05:04:50 2024 read 3308028 cycles
  223. Thu Aug 1 05:04:55 2024 cycles contain 11035980 unique relations
  224. Thu Aug 1 05:07:34 2024 read 11035980 relations
  225. Thu Aug 1 05:09:06 2024 multiplying 11035980 relations
  226. Thu Aug 1 05:17:07 2024 multiply complete, coefficients have about 611.69 million bits
  227. Thu Aug 1 05:17:12 2024 initial square root is modulo 307529
  228. Thu Aug 1 05:24:30 2024 sqrtTime: 1181
  229. Thu Aug 1 05:24:30 2024 p61 factor: 2329336460518902794710115425469642996851363368040644814661941
  230. Thu Aug 1 05:24:30 2024 p111 factor: 323753666736951168691155588079900163093627311786314226261128473495605201121308180071292499961690287826885704369
  231. Thu Aug 1 05:24:30 2024 elapsed time 04:46:21
  232.  
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