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Apr 16th, 2024
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  1. Mon Apr 15 00:54:28 2024
  2. Mon Apr 15 00:54:28 2024
  3. Mon Apr 15 00:54:28 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Apr 15 00:54:28 2024 random seeds: 6db2ef88 78f07c22
  5. Mon Apr 15 00:54:28 2024 Using 32 OpenMP threads
  6. Mon Apr 15 00:54:28 2024 factoring 3145614386063320044828730003075444611074821787222420638673359390271447824466928645487661031773095475756314914409032777958383165563451291998554614400090122983353028276409072033822629 (181 digits)
  7. Mon Apr 15 00:54:29 2024 searching for 15-digit factors
  8. Mon Apr 15 00:54:29 2024 commencing number field sieve (181-digit input)
  9. Mon Apr 15 00:54:29 2024 R0: -180583603344132360109287528281213154
  10. Mon Apr 15 00:54:29 2024 R1: 3843882666318123311
  11. Mon Apr 15 00:54:29 2024 A0: 2499321986787815858620877404988411391563049115
  12. Mon Apr 15 00:54:29 2024 A1: 74701415087275837824899649686018016958
  13. Mon Apr 15 00:54:29 2024 A2: -1296212820983554437026763660001
  14. Mon Apr 15 00:54:29 2024 A3: -3861889511178075094510
  15. Mon Apr 15 00:54:29 2024 A4: 20814212581098
  16. Mon Apr 15 00:54:29 2024 A5: 16380
  17. Mon Apr 15 00:54:29 2024 skew 251326512.33, size 1.103e-17, alpha -7.614, combined = 7.544e-14 rroots = 5
  18. Mon Apr 15 00:54:29 2024
  19. Mon Apr 15 00:54:29 2024 commencing relation filtering
  20. Mon Apr 15 00:54:29 2024 setting target matrix density to 120.0
  21. Mon Apr 15 00:54:29 2024 estimated available RAM is 515996.3 MB
  22. Mon Apr 15 00:54:29 2024 commencing duplicate removal, pass 1
  23. Mon Apr 15 00:54:54 2024 error -1 reading relation 17903963
  24. Mon Apr 15 00:54:56 2024 error -1 reading relation 19462435
  25. Mon Apr 15 00:55:29 2024 error -1 reading relation 38523927
  26. Mon Apr 15 00:55:49 2024 error -1 reading relation 48416503
  27. Mon Apr 15 00:56:10 2024 error -1 reading relation 61551824
  28. Mon Apr 15 00:57:01 2024 error -1 reading relation 91570036
  29. Mon Apr 15 00:57:46 2024 error -1 reading relation 117545597
  30. Mon Apr 15 00:57:54 2024 error -1 reading relation 121766004
  31. Mon Apr 15 00:58:04 2024 error -1 reading relation 127422310
  32. Mon Apr 15 00:58:36 2024 error -1 reading relation 144391941
  33. Mon Apr 15 00:58:41 2024 error -1 reading relation 146973885
  34. Mon Apr 15 00:58:46 2024 error -1 reading relation 149610842
  35. Mon Apr 15 00:58:46 2024 error -1 reading relation 149680647
  36. Mon Apr 15 00:59:09 2024 error -1 reading relation 161095995
  37. Mon Apr 15 00:59:09 2024 error -1 reading relation 161135076
  38. Mon Apr 15 00:59:42 2024 error -1 reading relation 178335181
  39. Mon Apr 15 00:59:51 2024 error -1 reading relation 183253379
  40. Mon Apr 15 01:00:04 2024 error -1 reading relation 190236904
  41. Mon Apr 15 01:00:09 2024 error -1 reading relation 193077962
  42. Mon Apr 15 01:00:10 2024 error -1 reading relation 193563340
  43. Mon Apr 15 01:00:16 2024 error -1 reading relation 197134694
  44. Mon Apr 15 01:00:19 2024 error -1 reading relation 198808283
  45. Mon Apr 15 01:00:23 2024 error -1 reading relation 201269944
  46. Mon Apr 15 01:00:24 2024 error -1 reading relation 201862774
  47. Mon Apr 15 01:01:15 2024 error -6 reading relation 232301620
  48. Mon Apr 15 01:01:34 2024 error -1 reading relation 243600292
  49. Mon Apr 15 01:01:41 2024 error -1 reading relation 247634481
  50. Mon Apr 15 01:01:42 2024 error -1 reading relation 248026116
  51. Mon Apr 15 01:01:46 2024 error -1 reading relation 250577747
  52. Mon Apr 15 01:01:48 2024 error -1 reading relation 251782514
  53. Mon Apr 15 01:01:48 2024 error -1 reading relation 251923013
  54. Mon Apr 15 01:01:50 2024 error -1 reading relation 252766224
  55. Mon Apr 15 01:01:50 2024 error -1 reading relation 253017174
  56. Mon Apr 15 01:01:51 2024 error -1 reading relation 253436163
  57. Mon Apr 15 01:01:51 2024 skipped 1 relations with b > 2^32
  58. Mon Apr 15 01:01:51 2024 skipped 322 malformed relations
  59. Mon Apr 15 01:01:51 2024 found 61342885 hash collisions in 253952619 relations
  60. Mon Apr 15 01:02:20 2024 commencing duplicate removal, pass 2
  61. Mon Apr 15 01:08:41 2024 found 66890124 duplicates and 187062495 unique relations
  62. Mon Apr 15 01:08:41 2024 memory use: 1449.5 MB
  63. Mon Apr 15 01:08:41 2024 reading ideals above 720000
  64. Mon Apr 15 01:08:41 2024 commencing singleton removal, initial pass
  65. Mon Apr 15 01:23:14 2024 memory use: 5512.0 MB
  66. Mon Apr 15 01:23:14 2024 reading all ideals from disk
  67. Mon Apr 15 01:23:18 2024 memory use: 9151.7 MB
  68. Mon Apr 15 01:23:44 2024 keeping 178810838 ideals with weight <= 200, target excess is 960643
  69. Mon Apr 15 01:24:16 2024 commencing in-memory singleton removal
  70. Mon Apr 15 01:24:19 2024 begin with 187062495 relations and 178810838 unique ideals
  71. Mon Apr 15 01:24:36 2024 reduce to 123347760 relations and 108962767 ideals in 14 passes
  72. Mon Apr 15 01:24:36 2024 max relations containing the same ideal: 162
  73. Mon Apr 15 01:25:30 2024 removing 11700853 relations and 9700853 ideals in 2000000 cliques
  74. Mon Apr 15 01:25:37 2024 commencing in-memory singleton removal
  75. Mon Apr 15 01:25:40 2024 begin with 111646907 relations and 108962767 unique ideals
  76. Mon Apr 15 01:25:49 2024 reduce to 110696837 relations and 98292167 ideals in 9 passes
  77. Mon Apr 15 01:25:49 2024 max relations containing the same ideal: 150
  78. Mon Apr 15 01:26:38 2024 removing 9093335 relations and 7093335 ideals in 2000000 cliques
  79. Mon Apr 15 01:26:44 2024 commencing in-memory singleton removal
  80. Mon Apr 15 01:26:45 2024 begin with 101603502 relations and 98292167 unique ideals
  81. Mon Apr 15 01:26:51 2024 reduce to 100944126 relations and 90527068 ideals in 8 passes
  82. Mon Apr 15 01:26:51 2024 max relations containing the same ideal: 140
  83. Mon Apr 15 01:27:31 2024 removing 8350810 relations and 6350810 ideals in 2000000 cliques
  84. Mon Apr 15 01:27:35 2024 commencing in-memory singleton removal
  85. Mon Apr 15 01:27:37 2024 begin with 92593316 relations and 90527068 unique ideals
  86. Mon Apr 15 01:27:43 2024 reduce to 91980323 relations and 83551525 ideals in 8 passes
  87. Mon Apr 15 01:27:43 2024 max relations containing the same ideal: 130
  88. Mon Apr 15 01:28:19 2024 removing 8025946 relations and 6025946 ideals in 2000000 cliques
  89. Mon Apr 15 01:28:23 2024 commencing in-memory singleton removal
  90. Mon Apr 15 01:28:25 2024 begin with 83954377 relations and 83551525 unique ideals
  91. Mon Apr 15 01:28:30 2024 reduce to 83335084 relations and 76893808 ideals in 9 passes
  92. Mon Apr 15 01:28:30 2024 max relations containing the same ideal: 122
  93. Mon Apr 15 01:29:09 2024 removing 7883863 relations and 5883863 ideals in 2000000 cliques
  94. Mon Apr 15 01:29:14 2024 commencing in-memory singleton removal
  95. Mon Apr 15 01:29:15 2024 begin with 75451221 relations and 76893808 unique ideals
  96. Mon Apr 15 01:29:19 2024 reduce to 74791855 relations and 70336285 ideals in 8 passes
  97. Mon Apr 15 01:29:19 2024 max relations containing the same ideal: 117
  98. Mon Apr 15 01:29:54 2024 removing 7850140 relations and 5850140 ideals in 2000000 cliques
  99. Mon Apr 15 01:29:59 2024 commencing in-memory singleton removal
  100. Mon Apr 15 01:30:00 2024 begin with 66941715 relations and 70336285 unique ideals
  101. Mon Apr 15 01:30:03 2024 reduce to 66209152 relations and 63736390 ideals in 8 passes
  102. Mon Apr 15 01:30:03 2024 max relations containing the same ideal: 107
  103. Mon Apr 15 01:30:35 2024 removing 5845635 relations and 4487219 ideals in 1358416 cliques
  104. Mon Apr 15 01:30:39 2024 commencing in-memory singleton removal
  105. Mon Apr 15 01:30:39 2024 begin with 60363517 relations and 63736390 unique ideals
  106. Mon Apr 15 01:30:43 2024 reduce to 59922483 relations and 58800324 ideals in 8 passes
  107. Mon Apr 15 01:30:43 2024 max relations containing the same ideal: 102
  108. Mon Apr 15 01:31:17 2024 relations with 0 large ideals: 3357
  109. Mon Apr 15 01:31:17 2024 relations with 1 large ideals: 9959
  110. Mon Apr 15 01:31:17 2024 relations with 2 large ideals: 154215
  111. Mon Apr 15 01:31:17 2024 relations with 3 large ideals: 1103644
  112. Mon Apr 15 01:31:17 2024 relations with 4 large ideals: 4340632
  113. Mon Apr 15 01:31:17 2024 relations with 5 large ideals: 10347139
  114. Mon Apr 15 01:31:17 2024 relations with 6 large ideals: 15690611
  115. Mon Apr 15 01:31:17 2024 relations with 7+ large ideals: 28272926
  116. Mon Apr 15 01:31:17 2024 commencing 2-way merge
  117. Mon Apr 15 01:31:53 2024 reduce to 39054006 relation sets and 37931847 unique ideals
  118. Mon Apr 15 01:31:53 2024 commencing full merge
  119. Mon Apr 15 01:45:37 2024 memory use: 4654.3 MB
  120. Mon Apr 15 01:45:40 2024 found 17269547 cycles, need 17234047
  121. Mon Apr 15 01:45:45 2024 weight of 17234047 cycles is about 2068186029 (120.01/cycle)
  122. Mon Apr 15 01:45:45 2024 distribution of cycle lengths:
  123. Mon Apr 15 01:45:45 2024 1 relations: 1256654
  124. Mon Apr 15 01:45:45 2024 2 relations: 1315807
  125. Mon Apr 15 01:45:45 2024 3 relations: 1350756
  126. Mon Apr 15 01:45:45 2024 4 relations: 1310202
  127. Mon Apr 15 01:45:45 2024 5 relations: 1279278
  128. Mon Apr 15 01:45:45 2024 6 relations: 1227258
  129. Mon Apr 15 01:45:45 2024 7 relations: 1157488
  130. Mon Apr 15 01:45:45 2024 8 relations: 1091078
  131. Mon Apr 15 01:45:45 2024 9 relations: 1013678
  132. Mon Apr 15 01:45:45 2024 10+ relations: 6231848
  133. Mon Apr 15 01:45:45 2024 heaviest cycle: 28 relations
  134. Mon Apr 15 01:45:48 2024 commencing cycle optimization
  135. Mon Apr 15 01:46:17 2024 start with 143125146 relations
  136. Mon Apr 15 01:50:25 2024 pruned 6239649 relations
  137. Mon Apr 15 01:50:25 2024 memory use: 3923.2 MB
  138. Mon Apr 15 01:50:25 2024 distribution of cycle lengths:
  139. Mon Apr 15 01:50:25 2024 1 relations: 1256654
  140. Mon Apr 15 01:50:25 2024 2 relations: 1353755
  141. Mon Apr 15 01:50:25 2024 3 relations: 1413045
  142. Mon Apr 15 01:50:25 2024 4 relations: 1364894
  143. Mon Apr 15 01:50:25 2024 5 relations: 1339706
  144. Mon Apr 15 01:50:25 2024 6 relations: 1278743
  145. Mon Apr 15 01:50:25 2024 7 relations: 1208030
  146. Mon Apr 15 01:50:25 2024 8 relations: 1131549
  147. Mon Apr 15 01:50:25 2024 9 relations: 1046408
  148. Mon Apr 15 01:50:25 2024 10+ relations: 5841263
  149. Mon Apr 15 01:50:25 2024 heaviest cycle: 28 relations
  150. Mon Apr 15 01:50:41 2024 RelProcTime: 3372
  151. Mon Apr 15 01:50:44 2024 elapsed time 00:56:16
  152. Mon Apr 15 01:51:15 2024
  153. Mon Apr 15 01:51:15 2024
  154. Mon Apr 15 01:51:15 2024 Msieve v. 1.54 (SVN Unversioned directory)
  155. Mon Apr 15 01:51:15 2024 random seeds: c66e749c 40f7f603
  156. Mon Apr 15 01:51:15 2024 Using 64 OpenMP threads
  157. Mon Apr 15 01:51:15 2024 factoring 3145614386063320044828730003075444611074821787222420638673359390271447824466928645487661031773095475756314914409032777958383165563451291998554614400090122983353028276409072033822629 (181 digits)
  158. Mon Apr 15 01:51:16 2024 searching for 15-digit factors
  159. Mon Apr 15 01:51:16 2024 commencing number field sieve (181-digit input)
  160. Mon Apr 15 01:51:16 2024 R0: -180583603344132360109287528281213154
  161. Mon Apr 15 01:51:16 2024 R1: 3843882666318123311
  162. Mon Apr 15 01:51:16 2024 A0: 2499321986787815858620877404988411391563049115
  163. Mon Apr 15 01:51:16 2024 A1: 74701415087275837824899649686018016958
  164. Mon Apr 15 01:51:16 2024 A2: -1296212820983554437026763660001
  165. Mon Apr 15 01:51:16 2024 A3: -3861889511178075094510
  166. Mon Apr 15 01:51:16 2024 A4: 20814212581098
  167. Mon Apr 15 01:51:16 2024 A5: 16380
  168. Mon Apr 15 01:51:16 2024 skew 251326512.33, size 1.103e-17, alpha -7.614, combined = 7.544e-14 rroots = 5
  169. Mon Apr 15 01:51:16 2024
  170. Mon Apr 15 01:51:16 2024 commencing linear algebra
  171. Mon Apr 15 01:51:16 2024 using VBITS=256
  172. Mon Apr 15 01:51:18 2024 read 17234047 cycles
  173. Mon Apr 15 01:51:44 2024 cycles contain 59127157 unique relations
  174. Mon Apr 15 01:55:22 2024 read 59127157 relations
  175. Mon Apr 15 01:55:27 2024 using 20 quadratic characters above 4294917295
  176. Mon Apr 15 01:55:32 2024 building initial matrix
  177. Mon Apr 15 02:05:48 2024 memory use: 8196.5 MB
  178. Mon Apr 15 02:05:55 2024 read 17234047 cycles
  179. Mon Apr 15 02:05:58 2024 matrix is 17233867 x 17234047 (8134.5 MB) with weight 2473857394 (143.54/col)
  180. Mon Apr 15 02:05:58 2024 sparse part has weight 1925602055 (111.73/col)
  181. Mon Apr 15 02:09:15 2024 filtering completed in 2 passes
  182. Mon Apr 15 02:09:19 2024 matrix is 17233293 x 17233472 (8134.4 MB) with weight 2473829963 (143.55/col)
  183. Mon Apr 15 02:09:19 2024 sparse part has weight 1925594202 (111.74/col)
  184. Mon Apr 15 02:10:13 2024 matrix starts at (0, 0)
  185. Mon Apr 15 02:10:15 2024 matrix is 17233293 x 17233472 (8134.4 MB) with weight 2473829963 (143.55/col)
  186. Mon Apr 15 02:10:15 2024 sparse part has weight 1925594202 (111.74/col)
  187. Mon Apr 15 02:10:15 2024 saving the first 240 matrix rows for later
  188. Mon Apr 15 02:10:18 2024 matrix includes 256 packed rows
  189. Mon Apr 15 02:10:24 2024 matrix is 17233053 x 17233472 (7380.3 MB) with weight 1767051927 (102.54/col)
  190. Mon Apr 15 02:10:24 2024 sparse part has weight 1658954734 (96.26/col)
  191. Mon Apr 15 02:10:24 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  192. Mon Apr 15 02:10:58 2024 commencing Lanczos iteration (64 threads)
  193. Mon Apr 15 02:10:58 2024 memory use: 10180.4 MB
  194. Mon Apr 15 02:13:54 2024 linear algebra at 0.2%, ETA 26h59m
  195. Mon Apr 15 02:18:05 2024 checking every 10000 dimensions, checkpointing every 660000 dimensions
  196. Tue Apr 16 04:18:00 2024 lanczos halted after 67518 iterations (dim = 17233053)
  197. Tue Apr 16 04:18:56 2024 recovered 30 nontrivial dependencies
  198. Tue Apr 16 04:18:58 2024 BLanczosTime: 95262
  199. Tue Apr 16 04:18:58 2024
  200. Tue Apr 16 04:18:58 2024 commencing square root phase
  201. Tue Apr 16 04:18:58 2024 reading relations for dependency 1
  202. Tue Apr 16 04:19:00 2024 read 8614830 cycles
  203. Tue Apr 16 04:19:14 2024 cycles contain 29560542 unique relations
  204. Tue Apr 16 04:22:40 2024 read 29560542 relations
  205. Tue Apr 16 04:25:27 2024 multiplying 29560542 relations
  206. Tue Apr 16 04:54:54 2024 multiply complete, coefficients have about 1654.92 million bits
  207. Tue Apr 16 04:55:02 2024 initial square root is modulo 26516491
  208. Tue Apr 16 05:15:55 2024 sqrtTime: 3417
  209. Tue Apr 16 05:15:55 2024 p77 factor: 28007934281272346502683085431680200099150505964991713125585124883090537630619
  210. Tue Apr 16 05:15:55 2024 p105 factor: 112311545523964320108736768381740772613462594759847820178591426613825507698986249932826954284931562937791
  211. Tue Apr 16 05:15:55 2024 elapsed time 27:24:40
  212.  
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