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Feb 1st, 2024
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  1. Thu Feb 1 15:01:51 2024
  2. Thu Feb 1 15:01:51 2024
  3. Thu Feb 1 15:01:51 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Feb 1 15:01:51 2024 random seeds: 26a9fefe 677b81b2
  5. Thu Feb 1 15:01:51 2024 Using 32 OpenMP threads
  6. Thu Feb 1 15:01:51 2024 factoring 110521645359551549336992068815001383754441289541001604714264387568370151713027097331377395970003609011389871806937023787056263038625649395132968369886053940485491 (162 digits)
  7. Thu Feb 1 15:01:51 2024 searching for 15-digit factors
  8. Thu Feb 1 15:01:52 2024 commencing number field sieve (162-digit input)
  9. Thu Feb 1 15:01:52 2024 R0: -21553617915804465704212085911961
  10. Thu Feb 1 15:01:52 2024 R1: 4354208348681737
  11. Thu Feb 1 15:01:52 2024 A0: 246279603805404440289938804775214832347008
  12. Thu Feb 1 15:01:52 2024 A1: 10206550595525605871330807399018224
  13. Thu Feb 1 15:01:52 2024 A2: -1433320203778683974115948842
  14. Thu Feb 1 15:01:52 2024 A3: -65983687146785112869
  15. Thu Feb 1 15:01:52 2024 A4: 1756836727674
  16. Thu Feb 1 15:01:52 2024 A5: 23760
  17. Thu Feb 1 15:01:52 2024 skew 32686151.61, size 1.154e-15, alpha -8.436, combined = 1.238e-12 rroots = 3
  18. Thu Feb 1 15:01:52 2024
  19. Thu Feb 1 15:01:52 2024 commencing relation filtering
  20. Thu Feb 1 15:01:52 2024 setting target matrix density to 130.0
  21. Thu Feb 1 15:01:52 2024 estimated available RAM is 257736.5 MB
  22. Thu Feb 1 15:01:52 2024 commencing duplicate removal, pass 1
  23. Thu Feb 1 15:03:40 2024 error -1 reading relation 35698397
  24. Thu Feb 1 15:04:29 2024 error -1 reading relation 52722047
  25. Thu Feb 1 15:04:39 2024 error -1 reading relation 59068437
  26. Thu Feb 1 15:04:55 2024 error -1 reading relation 69500308
  27. Thu Feb 1 15:05:52 2024 error -1 reading relation 89907632
  28. Thu Feb 1 15:05:54 2024 error -1 reading relation 90827674
  29. Thu Feb 1 15:06:41 2024 error -1 reading relation 107066331
  30. Thu Feb 1 15:07:29 2024 error -1 reading relation 129801273
  31. Thu Feb 1 15:07:31 2024 skipped 83 malformed relations
  32. Thu Feb 1 15:07:31 2024 found 26960391 hash collisions in 131052088 relations
  33. Thu Feb 1 15:08:05 2024 added 122099 free relations
  34. Thu Feb 1 15:08:05 2024 commencing duplicate removal, pass 2
  35. Thu Feb 1 15:11:23 2024 found 26299181 duplicates and 104875006 unique relations
  36. Thu Feb 1 15:11:23 2024 memory use: 724.8 MB
  37. Thu Feb 1 15:11:24 2024 reading ideals above 720000
  38. Thu Feb 1 15:11:24 2024 commencing singleton removal, initial pass
  39. Thu Feb 1 15:20:43 2024 memory use: 2756.0 MB
  40. Thu Feb 1 15:20:43 2024 reading all ideals from disk
  41. Thu Feb 1 15:20:45 2024 memory use: 4718.1 MB
  42. Thu Feb 1 15:20:58 2024 keeping 91344849 ideals with weight <= 200, target excess is 549921
  43. Thu Feb 1 15:21:16 2024 commencing in-memory singleton removal
  44. Thu Feb 1 15:21:18 2024 begin with 104875006 relations and 91344849 unique ideals
  45. Thu Feb 1 15:21:29 2024 reduce to 71983253 relations and 55417791 ideals in 13 passes
  46. Thu Feb 1 15:21:29 2024 max relations containing the same ideal: 166
  47. Thu Feb 1 15:21:59 2024 removing 8371876 relations and 6371876 ideals in 2000000 cliques
  48. Thu Feb 1 15:22:03 2024 commencing in-memory singleton removal
  49. Thu Feb 1 15:22:05 2024 begin with 63611377 relations and 55417791 unique ideals
  50. Thu Feb 1 15:22:10 2024 reduce to 62863066 relations and 48272460 ideals in 8 passes
  51. Thu Feb 1 15:22:10 2024 max relations containing the same ideal: 150
  52. Thu Feb 1 15:22:34 2024 removing 6619586 relations and 4619586 ideals in 2000000 cliques
  53. Thu Feb 1 15:22:37 2024 commencing in-memory singleton removal
  54. Thu Feb 1 15:22:38 2024 begin with 56243480 relations and 48272460 unique ideals
  55. Thu Feb 1 15:22:43 2024 reduce to 55718495 relations and 43111610 ideals in 8 passes
  56. Thu Feb 1 15:22:43 2024 max relations containing the same ideal: 140
  57. Thu Feb 1 15:23:07 2024 removing 6157152 relations and 4157152 ideals in 2000000 cliques
  58. Thu Feb 1 15:23:10 2024 commencing in-memory singleton removal
  59. Thu Feb 1 15:23:11 2024 begin with 49561343 relations and 43111610 unique ideals
  60. Thu Feb 1 15:23:15 2024 reduce to 49083026 relations and 38460707 ideals in 8 passes
  61. Thu Feb 1 15:23:15 2024 max relations containing the same ideal: 129
  62. Thu Feb 1 15:23:34 2024 removing 5928435 relations and 3928435 ideals in 2000000 cliques
  63. Thu Feb 1 15:23:36 2024 commencing in-memory singleton removal
  64. Thu Feb 1 15:23:37 2024 begin with 43154591 relations and 38460707 unique ideals
  65. Thu Feb 1 15:23:40 2024 reduce to 42681888 relations and 34042810 ideals in 7 passes
  66. Thu Feb 1 15:23:40 2024 max relations containing the same ideal: 118
  67. Thu Feb 1 15:24:00 2024 removing 5792195 relations and 3792195 ideals in 2000000 cliques
  68. Thu Feb 1 15:24:02 2024 commencing in-memory singleton removal
  69. Thu Feb 1 15:24:03 2024 begin with 36889693 relations and 34042810 unique ideals
  70. Thu Feb 1 15:24:06 2024 reduce to 36397049 relations and 29738194 ideals in 7 passes
  71. Thu Feb 1 15:24:06 2024 max relations containing the same ideal: 105
  72. Thu Feb 1 15:24:23 2024 removing 5709378 relations and 3709378 ideals in 2000000 cliques
  73. Thu Feb 1 15:24:26 2024 commencing in-memory singleton removal
  74. Thu Feb 1 15:24:26 2024 begin with 30687671 relations and 29738194 unique ideals
  75. Thu Feb 1 15:24:29 2024 reduce to 30148307 relations and 25464556 ideals in 7 passes
  76. Thu Feb 1 15:24:29 2024 max relations containing the same ideal: 93
  77. Thu Feb 1 15:24:43 2024 removing 5653461 relations and 3653461 ideals in 2000000 cliques
  78. Thu Feb 1 15:24:45 2024 commencing in-memory singleton removal
  79. Thu Feb 1 15:24:46 2024 begin with 24494846 relations and 25464556 unique ideals
  80. Thu Feb 1 15:24:47 2024 reduce to 23875691 relations and 21157751 ideals in 7 passes
  81. Thu Feb 1 15:24:47 2024 max relations containing the same ideal: 80
  82. Thu Feb 1 15:24:58 2024 removing 5615816 relations and 3615816 ideals in 2000000 cliques
  83. Thu Feb 1 15:25:00 2024 commencing in-memory singleton removal
  84. Thu Feb 1 15:25:01 2024 begin with 18259875 relations and 21157751 unique ideals
  85. Thu Feb 1 15:25:02 2024 reduce to 17486427 relations and 16713631 ideals in 8 passes
  86. Thu Feb 1 15:25:02 2024 max relations containing the same ideal: 65
  87. Thu Feb 1 15:25:09 2024 removing 644807 relations and 509920 ideals in 134887 cliques
  88. Thu Feb 1 15:25:10 2024 commencing in-memory singleton removal
  89. Thu Feb 1 15:25:11 2024 begin with 16841620 relations and 16713631 unique ideals
  90. Thu Feb 1 15:25:12 2024 reduce to 16823457 relations and 16185393 ideals in 6 passes
  91. Thu Feb 1 15:25:12 2024 max relations containing the same ideal: 63
  92. Thu Feb 1 15:25:22 2024 relations with 0 large ideals: 1692
  93. Thu Feb 1 15:25:22 2024 relations with 1 large ideals: 12674
  94. Thu Feb 1 15:25:22 2024 relations with 2 large ideals: 166685
  95. Thu Feb 1 15:25:22 2024 relations with 3 large ideals: 914628
  96. Thu Feb 1 15:25:22 2024 relations with 4 large ideals: 2610795
  97. Thu Feb 1 15:25:22 2024 relations with 5 large ideals: 4352949
  98. Thu Feb 1 15:25:22 2024 relations with 6 large ideals: 4485984
  99. Thu Feb 1 15:25:22 2024 relations with 7+ large ideals: 4278050
  100. Thu Feb 1 15:25:22 2024 commencing 2-way merge
  101. Thu Feb 1 15:25:32 2024 reduce to 11275554 relation sets and 10637490 unique ideals
  102. Thu Feb 1 15:25:32 2024 commencing full merge
  103. Thu Feb 1 15:30:07 2024 memory use: 1348.3 MB
  104. Thu Feb 1 15:30:09 2024 found 4960831 cycles, need 4923690
  105. Thu Feb 1 15:30:10 2024 weight of 4923690 cycles is about 640979050 (130.18/cycle)
  106. Thu Feb 1 15:30:10 2024 distribution of cycle lengths:
  107. Thu Feb 1 15:30:10 2024 1 relations: 102760
  108. Thu Feb 1 15:30:10 2024 2 relations: 237172
  109. Thu Feb 1 15:30:10 2024 3 relations: 308799
  110. Thu Feb 1 15:30:10 2024 4 relations: 337800
  111. Thu Feb 1 15:30:10 2024 5 relations: 362512
  112. Thu Feb 1 15:30:10 2024 6 relations: 368339
  113. Thu Feb 1 15:30:10 2024 7 relations: 366813
  114. Thu Feb 1 15:30:10 2024 8 relations: 356176
  115. Thu Feb 1 15:30:10 2024 9 relations: 335702
  116. Thu Feb 1 15:30:10 2024 10+ relations: 2147617
  117. Thu Feb 1 15:30:10 2024 heaviest cycle: 28 relations
  118. Thu Feb 1 15:30:12 2024 commencing cycle optimization
  119. Thu Feb 1 15:30:25 2024 start with 46483508 relations
  120. Thu Feb 1 15:32:35 2024 pruned 2515312 relations
  121. Thu Feb 1 15:32:35 2024 memory use: 1174.7 MB
  122. Thu Feb 1 15:32:35 2024 distribution of cycle lengths:
  123. Thu Feb 1 15:32:35 2024 1 relations: 102760
  124. Thu Feb 1 15:32:35 2024 2 relations: 244706
  125. Thu Feb 1 15:32:35 2024 3 relations: 324658
  126. Thu Feb 1 15:32:35 2024 4 relations: 355612
  127. Thu Feb 1 15:32:35 2024 5 relations: 385552
  128. Thu Feb 1 15:32:35 2024 6 relations: 390769
  129. Thu Feb 1 15:32:35 2024 7 relations: 391791
  130. Thu Feb 1 15:32:35 2024 8 relations: 378287
  131. Thu Feb 1 15:32:35 2024 9 relations: 354937
  132. Thu Feb 1 15:32:35 2024 10+ relations: 1994618
  133. Thu Feb 1 15:32:35 2024 heaviest cycle: 28 relations
  134. Thu Feb 1 15:32:44 2024 RelProcTime: 1852
  135. Thu Feb 1 15:32:44 2024 elapsed time 00:30:53
  136. Thu Feb 1 15:33:14 2024
  137. Thu Feb 1 15:33:14 2024
  138. Thu Feb 1 15:33:14 2024 Msieve v. 1.54 (SVN Unversioned directory)
  139. Thu Feb 1 15:33:14 2024 random seeds: a5c938c8 ab8353b0
  140. Thu Feb 1 15:33:14 2024 Using 64 OpenMP threads
  141. Thu Feb 1 15:33:14 2024 factoring 110521645359551549336992068815001383754441289541001604714264387568370151713027097331377395970003609011389871806937023787056263038625649395132968369886053940485491 (162 digits)
  142. Thu Feb 1 15:33:15 2024 searching for 15-digit factors
  143. Thu Feb 1 15:33:15 2024 commencing number field sieve (162-digit input)
  144. Thu Feb 1 15:33:15 2024 R0: -21553617915804465704212085911961
  145. Thu Feb 1 15:33:15 2024 R1: 4354208348681737
  146. Thu Feb 1 15:33:15 2024 A0: 246279603805404440289938804775214832347008
  147. Thu Feb 1 15:33:15 2024 A1: 10206550595525605871330807399018224
  148. Thu Feb 1 15:33:15 2024 A2: -1433320203778683974115948842
  149. Thu Feb 1 15:33:15 2024 A3: -65983687146785112869
  150. Thu Feb 1 15:33:15 2024 A4: 1756836727674
  151. Thu Feb 1 15:33:15 2024 A5: 23760
  152. Thu Feb 1 15:33:15 2024 skew 32686151.61, size 1.154e-15, alpha -8.436, combined = 1.238e-12 rroots = 3
  153. Thu Feb 1 15:33:15 2024
  154. Thu Feb 1 15:33:15 2024 commencing linear algebra
  155. Thu Feb 1 15:33:15 2024 using VBITS=256
  156. Thu Feb 1 15:33:16 2024 read 4923690 cycles
  157. Thu Feb 1 15:33:27 2024 cycles contain 16519410 unique relations
  158. Thu Feb 1 15:36:07 2024 read 16519410 relations
  159. Thu Feb 1 15:36:09 2024 using 20 quadratic characters above 4294917295
  160. Thu Feb 1 15:36:12 2024 building initial matrix
  161. Thu Feb 1 15:40:32 2024 memory use: 2276.5 MB
  162. Thu Feb 1 15:40:36 2024 read 4923690 cycles
  163. Thu Feb 1 15:40:37 2024 matrix is 4923513 x 4923690 (2464.2 MB) with weight 752996766 (152.93/col)
  164. Thu Feb 1 15:40:37 2024 sparse part has weight 586893050 (119.20/col)
  165. Thu Feb 1 15:41:42 2024 filtering completed in 2 passes
  166. Thu Feb 1 15:41:44 2024 matrix is 4923402 x 4923577 (2464.2 MB) with weight 752991215 (152.94/col)
  167. Thu Feb 1 15:41:44 2024 sparse part has weight 586891539 (119.20/col)
  168. Thu Feb 1 15:42:15 2024 matrix starts at (0, 0)
  169. Thu Feb 1 15:42:17 2024 matrix is 4923402 x 4923577 (2464.2 MB) with weight 752991215 (152.94/col)
  170. Thu Feb 1 15:42:17 2024 sparse part has weight 586891539 (119.20/col)
  171. Thu Feb 1 15:42:17 2024 saving the first 240 matrix rows for later
  172. Thu Feb 1 15:42:18 2024 matrix includes 256 packed rows
  173. Thu Feb 1 15:42:21 2024 matrix is 4923162 x 4923577 (2207.2 MB) with weight 535023176 (108.67/col)
  174. Thu Feb 1 15:42:21 2024 sparse part has weight 499814793 (101.51/col)
  175. Thu Feb 1 15:42:21 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  176. Thu Feb 1 15:42:33 2024 commencing Lanczos iteration (64 threads)
  177. Thu Feb 1 15:42:33 2024 memory use: 2969.2 MB
  178. Thu Feb 1 15:43:18 2024 linear algebra at 0.6%, ETA 1h57m
  179. Thu Feb 1 15:44:22 2024 checking every 40000 dimensions, checkpointing every 2600000 dimensions
  180. Thu Feb 1 17:33:11 2024 lanczos halted after 19290 iterations (dim = 4923162)
  181. Thu Feb 1 17:33:27 2024 recovered 30 nontrivial dependencies
  182. Thu Feb 1 17:33:27 2024 BLanczosTime: 7212
  183. Thu Feb 1 17:33:27 2024
  184. Thu Feb 1 17:33:27 2024 commencing square root phase
  185. Thu Feb 1 17:33:27 2024 reading relations for dependency 1
  186. Thu Feb 1 17:33:28 2024 read 2463402 cycles
  187. Thu Feb 1 17:33:31 2024 cycles contain 8262546 unique relations
  188. Thu Feb 1 17:35:49 2024 read 8262546 relations
  189. Thu Feb 1 17:36:29 2024 multiplying 8262546 relations
  190. Thu Feb 1 17:38:17 2024 multiply complete, coefficients have about 431.22 million bits
  191. Thu Feb 1 17:38:19 2024 initial square root is modulo 54636451
  192. Thu Feb 1 17:43:23 2024 sqrtTime: 596
  193. Thu Feb 1 17:43:23 2024 p63 factor: 199868521911301523917139556623715486578705897384000114588431837
  194. Thu Feb 1 17:43:23 2024 p99 factor: 552971745138533122527717744545426069702835224203844411983321993458495676660647577797345176464454543
  195. Thu Feb 1 17:43:23 2024 elapsed time 02:10:09
  196.  
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