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Jul 26th, 2024
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  1. Thu Jul 25 00:45:05 2024
  2. Thu Jul 25 00:45:05 2024
  3. Thu Jul 25 00:45:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jul 25 00:45:05 2024 random seeds: fb7704e0 02b835dc
  5. Thu Jul 25 00:45:05 2024 Using 64 OpenMP threads
  6. Thu Jul 25 00:45:05 2024 factoring 162162709283170541689531915219386115399857136800885640834575274871717075894288452695697482535836872618845105477020304120021433476200989955789732437812804621166082610238402971 (174 digits)
  7. Thu Jul 25 00:45:05 2024 searching for 15-digit factors
  8. Thu Jul 25 00:45:06 2024 commencing number field sieve (174-digit input)
  9. Thu Jul 25 00:45:06 2024 R0: -3841664542694305050530583702825356
  10. Thu Jul 25 00:45:06 2024 R1: 2290518309731264093
  11. Thu Jul 25 00:45:06 2024 A0: -289229836742709183132100219480263094078425
  12. Thu Jul 25 00:45:06 2024 A1: 156792122174722240216206867953666656
  13. Thu Jul 25 00:45:06 2024 A2: -18609296909260087743277922544
  14. Thu Jul 25 00:45:06 2024 A3: -453491518486793233596
  15. Thu Jul 25 00:45:06 2024 A4: 17004758240629
  16. Thu Jul 25 00:45:06 2024 A5: 193800
  17. Thu Jul 25 00:45:06 2024 skew 27739561.70, size 5.863e-17, alpha -6.471, combined = 2.057e-13 rroots = 5
  18. Thu Jul 25 00:45:06 2024
  19. Thu Jul 25 00:45:06 2024 commencing relation filtering
  20. Thu Jul 25 00:45:06 2024 setting target matrix density to 130.0
  21. Thu Jul 25 00:45:06 2024 estimated available RAM is 515996.3 MB
  22. Thu Jul 25 00:45:06 2024 commencing duplicate removal, pass 1
  23. Thu Jul 25 00:45:20 2024 error -1 reading relation 7962462
  24. Thu Jul 25 00:45:35 2024 error -1 reading relation 15979549
  25. Thu Jul 25 00:45:51 2024 error -1 reading relation 27733093
  26. Thu Jul 25 00:46:06 2024 error -1 reading relation 39664115
  27. Thu Jul 25 00:46:06 2024 error -1 reading relation 40048306
  28. Thu Jul 25 00:46:14 2024 error -1 reading relation 46239110
  29. Thu Jul 25 00:46:19 2024 error -11 reading relation 50108216
  30. Thu Jul 25 00:46:27 2024 error -1 reading relation 56175309
  31. Thu Jul 25 00:46:30 2024 error -1 reading relation 58407527
  32. Thu Jul 25 00:46:38 2024 error -1 reading relation 64976274
  33. Thu Jul 25 00:46:43 2024 error -1 reading relation 68634126
  34. Thu Jul 25 00:46:48 2024 error -1 reading relation 71885453
  35. Thu Jul 25 00:46:48 2024 error -1 reading relation 72062386
  36. Thu Jul 25 00:46:51 2024 error -1 reading relation 74008662
  37. Thu Jul 25 00:47:02 2024 error -1 reading relation 81686428
  38. Thu Jul 25 00:47:02 2024 error -15 reading relation 81910471
  39. Thu Jul 25 00:47:02 2024 error -1 reading relation 82356941
  40. Thu Jul 25 00:47:10 2024 error -1 reading relation 88251902
  41. Thu Jul 25 00:47:10 2024 error -1 reading relation 88275060
  42. Thu Jul 25 00:47:12 2024 error -1 reading relation 89144323
  43. Thu Jul 25 00:47:21 2024 error -1 reading relation 95700630
  44. Thu Jul 25 00:47:26 2024 error -1 reading relation 99725970
  45. Thu Jul 25 00:47:55 2024 error -1 reading relation 119411459
  46. Thu Jul 25 00:47:57 2024 error -1 reading relation 120318531
  47. Thu Jul 25 00:48:01 2024 error -1 reading relation 123429130
  48. Thu Jul 25 00:48:04 2024 error -1 reading relation 125799784
  49. Thu Jul 25 00:48:06 2024 error -15 reading relation 127074179
  50. Thu Jul 25 00:48:06 2024 error -1 reading relation 127077363
  51. Thu Jul 25 00:48:06 2024 error -15 reading relation 127111750
  52. Thu Jul 25 00:48:57 2024 skipped 245 malformed relations
  53. Thu Jul 25 00:48:57 2024 found 39757796 hash collisions in 156318329 relations
  54. Thu Jul 25 00:49:19 2024 added 122336 free relations
  55. Thu Jul 25 00:49:19 2024 commencing duplicate removal, pass 2
  56. Thu Jul 25 00:52:17 2024 found 46591067 duplicates and 109849598 unique relations
  57. Thu Jul 25 00:52:17 2024 memory use: 1321.5 MB
  58. Thu Jul 25 00:52:17 2024 reading ideals above 720000
  59. Thu Jul 25 00:52:17 2024 commencing singleton removal, initial pass
  60. Thu Jul 25 00:58:27 2024 memory use: 2756.0 MB
  61. Thu Jul 25 00:58:28 2024 reading all ideals from disk
  62. Thu Jul 25 00:58:30 2024 memory use: 5227.8 MB
  63. Thu Jul 25 00:58:41 2024 keeping 95967511 ideals with weight <= 200, target excess is 594265
  64. Thu Jul 25 00:58:54 2024 commencing in-memory singleton removal
  65. Thu Jul 25 00:58:56 2024 begin with 109849598 relations and 95967511 unique ideals
  66. Thu Jul 25 00:59:02 2024 reduce to 82971997 relations and 67134328 ideals in 11 passes
  67. Thu Jul 25 00:59:02 2024 max relations containing the same ideal: 175
  68. Thu Jul 25 00:59:30 2024 removing 8201785 relations and 6201785 ideals in 2000000 cliques
  69. Thu Jul 25 00:59:34 2024 commencing in-memory singleton removal
  70. Thu Jul 25 00:59:35 2024 begin with 74770212 relations and 67134328 unique ideals
  71. Thu Jul 25 00:59:39 2024 reduce to 74076830 relations and 60218493 ideals in 7 passes
  72. Thu Jul 25 00:59:39 2024 max relations containing the same ideal: 166
  73. Thu Jul 25 01:00:03 2024 removing 6608535 relations and 4608535 ideals in 2000000 cliques
  74. Thu Jul 25 01:00:07 2024 commencing in-memory singleton removal
  75. Thu Jul 25 01:00:08 2024 begin with 67468295 relations and 60218493 unique ideals
  76. Thu Jul 25 01:00:11 2024 reduce to 66970132 relations and 55098400 ideals in 7 passes
  77. Thu Jul 25 01:00:11 2024 max relations containing the same ideal: 155
  78. Thu Jul 25 01:00:33 2024 removing 6207148 relations and 4207148 ideals in 2000000 cliques
  79. Thu Jul 25 01:00:36 2024 commencing in-memory singleton removal
  80. Thu Jul 25 01:00:37 2024 begin with 60762984 relations and 55098400 unique ideals
  81. Thu Jul 25 01:00:40 2024 reduce to 60296888 relations and 50412100 ideals in 7 passes
  82. Thu Jul 25 01:00:40 2024 max relations containing the same ideal: 146
  83. Thu Jul 25 01:01:01 2024 removing 6042490 relations and 4042490 ideals in 2000000 cliques
  84. Thu Jul 25 01:01:04 2024 commencing in-memory singleton removal
  85. Thu Jul 25 01:01:04 2024 begin with 54254398 relations and 50412100 unique ideals
  86. Thu Jul 25 01:01:07 2024 reduce to 53781151 relations and 45882474 ideals in 7 passes
  87. Thu Jul 25 01:01:07 2024 max relations containing the same ideal: 134
  88. Thu Jul 25 01:01:26 2024 removing 5983312 relations and 3983312 ideals in 2000000 cliques
  89. Thu Jul 25 01:01:29 2024 commencing in-memory singleton removal
  90. Thu Jul 25 01:01:29 2024 begin with 47797839 relations and 45882474 unique ideals
  91. Thu Jul 25 01:01:32 2024 reduce to 47287344 relations and 41372178 ideals in 8 passes
  92. Thu Jul 25 01:01:32 2024 max relations containing the same ideal: 124
  93. Thu Jul 25 01:01:49 2024 removing 5987597 relations and 3987597 ideals in 2000000 cliques
  94. Thu Jul 25 01:01:52 2024 commencing in-memory singleton removal
  95. Thu Jul 25 01:01:52 2024 begin with 41299747 relations and 41372178 unique ideals
  96. Thu Jul 25 01:01:54 2024 reduce to 40723750 relations and 36787588 ideals in 7 passes
  97. Thu Jul 25 01:01:54 2024 max relations containing the same ideal: 111
  98. Thu Jul 25 01:02:10 2024 removing 6046767 relations and 4046767 ideals in 2000000 cliques
  99. Thu Jul 25 01:02:13 2024 commencing in-memory singleton removal
  100. Thu Jul 25 01:02:13 2024 begin with 34676983 relations and 36787588 unique ideals
  101. Thu Jul 25 01:02:15 2024 reduce to 33990530 relations and 32025349 ideals in 8 passes
  102. Thu Jul 25 01:02:15 2024 max relations containing the same ideal: 97
  103. Thu Jul 25 01:02:30 2024 removing 4304359 relations and 3028526 ideals in 1275833 cliques
  104. Thu Jul 25 01:02:32 2024 commencing in-memory singleton removal
  105. Thu Jul 25 01:02:32 2024 begin with 29686171 relations and 32025349 unique ideals
  106. Thu Jul 25 01:02:34 2024 reduce to 29261007 relations and 28557729 ideals in 7 passes
  107. Thu Jul 25 01:02:34 2024 max relations containing the same ideal: 86
  108. Thu Jul 25 01:02:45 2024 removing 97849 relations and 83919 ideals in 13930 cliques
  109. Thu Jul 25 01:02:46 2024 commencing in-memory singleton removal
  110. Thu Jul 25 01:02:47 2024 begin with 29163158 relations and 28557729 unique ideals
  111. Thu Jul 25 01:02:48 2024 reduce to 29162910 relations and 28473562 ideals in 5 passes
  112. Thu Jul 25 01:02:48 2024 max relations containing the same ideal: 86
  113. Thu Jul 25 01:02:51 2024 relations with 0 large ideals: 2028
  114. Thu Jul 25 01:02:51 2024 relations with 1 large ideals: 5753
  115. Thu Jul 25 01:02:51 2024 relations with 2 large ideals: 87555
  116. Thu Jul 25 01:02:51 2024 relations with 3 large ideals: 609076
  117. Thu Jul 25 01:02:51 2024 relations with 4 large ideals: 2322706
  118. Thu Jul 25 01:02:51 2024 relations with 5 large ideals: 5313299
  119. Thu Jul 25 01:02:51 2024 relations with 6 large ideals: 7724259
  120. Thu Jul 25 01:02:51 2024 relations with 7+ large ideals: 13098234
  121. Thu Jul 25 01:02:51 2024 commencing 2-way merge
  122. Thu Jul 25 01:03:07 2024 reduce to 19793239 relation sets and 19103891 unique ideals
  123. Thu Jul 25 01:03:07 2024 commencing full merge
  124. Thu Jul 25 01:09:44 2024 memory use: 2430.3 MB
  125. Thu Jul 25 01:09:46 2024 found 8644395 cycles, need 8628091
  126. Thu Jul 25 01:09:48 2024 weight of 8628091 cycles is about 1122365147 (130.08/cycle)
  127. Thu Jul 25 01:09:48 2024 distribution of cycle lengths:
  128. Thu Jul 25 01:09:48 2024 1 relations: 332839
  129. Thu Jul 25 01:09:48 2024 2 relations: 500686
  130. Thu Jul 25 01:09:48 2024 3 relations: 589659
  131. Thu Jul 25 01:09:48 2024 4 relations: 613992
  132. Thu Jul 25 01:09:48 2024 5 relations: 636437
  133. Thu Jul 25 01:09:48 2024 6 relations: 633395
  134. Thu Jul 25 01:09:48 2024 7 relations: 619126
  135. Thu Jul 25 01:09:48 2024 8 relations: 595275
  136. Thu Jul 25 01:09:48 2024 9 relations: 560325
  137. Thu Jul 25 01:09:48 2024 10+ relations: 3546357
  138. Thu Jul 25 01:09:48 2024 heaviest cycle: 28 relations
  139. Thu Jul 25 01:09:50 2024 commencing cycle optimization
  140. Thu Jul 25 01:10:06 2024 start with 78353374 relations
  141. Thu Jul 25 01:12:41 2024 pruned 4227618 relations
  142. Thu Jul 25 01:12:41 2024 memory use: 2011.1 MB
  143. Thu Jul 25 01:12:41 2024 distribution of cycle lengths:
  144. Thu Jul 25 01:12:41 2024 1 relations: 332839
  145. Thu Jul 25 01:12:41 2024 2 relations: 516103
  146. Thu Jul 25 01:12:41 2024 3 relations: 619805
  147. Thu Jul 25 01:12:41 2024 4 relations: 645058
  148. Thu Jul 25 01:12:41 2024 5 relations: 675431
  149. Thu Jul 25 01:12:41 2024 6 relations: 670095
  150. Thu Jul 25 01:12:41 2024 7 relations: 658820
  151. Thu Jul 25 01:12:41 2024 8 relations: 628997
  152. Thu Jul 25 01:12:41 2024 9 relations: 591015
  153. Thu Jul 25 01:12:41 2024 10+ relations: 3289928
  154. Thu Jul 25 01:12:41 2024 heaviest cycle: 28 relations
  155. Thu Jul 25 01:12:51 2024 RelProcTime: 1665
  156. Thu Jul 25 01:12:51 2024
  157. Thu Jul 25 01:12:51 2024 commencing linear algebra
  158. Thu Jul 25 01:12:51 2024 using VBITS=256
  159. Thu Jul 25 01:12:51 2024 read 8628091 cycles
  160. Thu Jul 25 01:13:05 2024 cycles contain 28800488 unique relations
  161. Thu Jul 25 01:15:27 2024 read 28800488 relations
  162. Thu Jul 25 01:15:29 2024 using 20 quadratic characters above 4294917295
  163. Thu Jul 25 01:15:33 2024 building initial matrix
  164. Thu Jul 25 01:21:17 2024 memory use: 4027.7 MB
  165. Thu Jul 25 01:21:21 2024 read 8628091 cycles
  166. Thu Jul 25 01:21:22 2024 matrix is 8627913 x 8628091 (4326.3 MB) with weight 1310258124 (151.86/col)
  167. Thu Jul 25 01:21:22 2024 sparse part has weight 1030584254 (119.45/col)
  168. Thu Jul 25 01:23:04 2024 filtering completed in 2 passes
  169. Thu Jul 25 01:23:06 2024 matrix is 8627817 x 8627995 (4326.3 MB) with weight 1310254050 (151.86/col)
  170. Thu Jul 25 01:23:06 2024 sparse part has weight 1030583414 (119.45/col)
  171. Thu Jul 25 01:23:37 2024 matrix starts at (0, 0)
  172. Thu Jul 25 01:23:39 2024 matrix is 8627817 x 8627995 (4326.3 MB) with weight 1310254050 (151.86/col)
  173. Thu Jul 25 01:23:39 2024 sparse part has weight 1030583414 (119.45/col)
  174. Thu Jul 25 01:23:39 2024 saving the first 240 matrix rows for later
  175. Thu Jul 25 01:23:40 2024 matrix includes 256 packed rows
  176. Thu Jul 25 01:23:43 2024 matrix is 8627577 x 8627995 (3919.5 MB) with weight 945474240 (109.58/col)
  177. Thu Jul 25 01:23:43 2024 sparse part has weight 889429120 (103.09/col)
  178. Thu Jul 25 01:23:43 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  179. Thu Jul 25 01:24:01 2024 commencing Lanczos iteration (64 threads)
  180. Thu Jul 25 01:24:01 2024 memory use: 5281.1 MB
  181. Thu Jul 25 01:25:24 2024 linear algebra at 0.4%, ETA 6h23m
  182. Thu Jul 25 01:27:48 2024 checking every 20000 dimensions, checkpointing every 1240000 dimensions
  183. Thu Jul 25 07:41:24 2024 lanczos halted after 33805 iterations (dim = 8627575)
  184. Thu Jul 25 07:42:03 2024 recovered 29 nontrivial dependencies
  185. Thu Jul 25 07:42:04 2024 BLanczosTime: 23353
  186. Thu Jul 25 07:42:04 2024
  187. Thu Jul 25 07:42:04 2024 commencing square root phase
  188. Thu Jul 25 07:42:04 2024 handling dependencies 1 to 64
  189. Thu Jul 25 07:42:04 2024 reading relations for dependency 1
  190. Thu Jul 25 07:42:05 2024 read 4314370 cycles
  191. Thu Jul 25 07:42:12 2024 cycles contain 14400674 unique relations
  192. Thu Jul 25 07:44:15 2024 read 14400674 relations
  193. Thu Jul 25 07:45:05 2024 multiplying 14400674 relations
  194. Thu Jul 25 07:51:54 2024 multiply complete, coefficients have about 814.03 million bits
  195. Thu Jul 25 07:51:55 2024 initial square root is modulo 20095879
  196. Thu Jul 25 07:56:25 2024 sqrtTime: 861
  197. Thu Jul 25 07:56:25 2024 p83 factor: 56800428858933781070894663806191253325651675778779373101017278059910598931025398551
  198. Thu Jul 25 07:56:25 2024 p91 factor: 2854955720244795164390145671629875281030716112133244902641798868878661887452054241691963421
  199. Thu Jul 25 07:56:25 2024 elapsed time 07:11:20
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