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Jul 20th, 2024
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  1. Fri Jul 19 08:36:09 2024
  2. Fri Jul 19 08:36:09 2024
  3. Fri Jul 19 08:36:09 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 19 08:36:09 2024 random seeds: e6c443f7 af63f614
  5. Fri Jul 19 08:36:09 2024 MPI process 0 of 1
  6. Fri Jul 19 08:36:09 2024 Using 64 OpenMP threads
  7. Fri Jul 19 08:36:09 2024 factoring 5425775825463913885185290825959668780549187392102327443483244774107679339018122472441211736848944715139315524384963290577068410663594950372810285982345176022866077629 (166 digits)
  8. Fri Jul 19 08:36:10 2024 searching for 15-digit factors
  9. Fri Jul 19 08:36:10 2024 commencing number field sieve (166-digit input)
  10. Fri Jul 19 08:36:10 2024 R0: -171360943084665347259155197344995
  11. Fri Jul 19 08:36:10 2024 R1: 191501589423370871
  12. Fri Jul 19 08:36:10 2024 A0: -9829223271987393021505695187528861184169456
  13. Fri Jul 19 08:36:10 2024 A1: 877968709674547756042426245103444308
  14. Fri Jul 19 08:36:10 2024 A2: 19729187994690310815068219452
  15. Fri Jul 19 08:36:10 2024 A3: -299545186246919659117
  16. Fri Jul 19 08:36:10 2024 A4: -3364159535852
  17. Fri Jul 19 08:36:10 2024 A5: 36720
  18. Fri Jul 19 08:36:10 2024 skew 69698296.89, size 3.484e-16, alpha -8.361, combined = 5.947e-13 rroots = 3
  19. Fri Jul 19 08:36:10 2024
  20. Fri Jul 19 08:36:10 2024 commencing relation filtering
  21. Fri Jul 19 08:36:10 2024 setting target matrix density to 130.0
  22. Fri Jul 19 08:36:10 2024 estimated available RAM is 257736.5 MB
  23. Fri Jul 19 08:36:10 2024 commencing duplicate removal, pass 1
  24. Fri Jul 19 08:36:42 2024 error -1 reading relation 22933114
  25. Fri Jul 19 08:37:41 2024 error -1 reading relation 66573875
  26. Fri Jul 19 08:37:45 2024 error -1 reading relation 69784519
  27. Fri Jul 19 08:38:14 2024 error -1 reading relation 91104875
  28. Fri Jul 19 08:38:15 2024 error -1 reading relation 91624816
  29. Fri Jul 19 08:39:27 2024 error -1 reading relation 143889556
  30. Fri Jul 19 08:39:51 2024 error -1 reading relation 162043088
  31. Fri Jul 19 08:41:11 2024 skipped 83 malformed relations
  32. Fri Jul 19 08:41:11 2024 found 44155536 hash collisions in 221371847 relations
  33. Fri Jul 19 08:41:34 2024 added 121976 free relations
  34. Fri Jul 19 08:41:34 2024 commencing duplicate removal, pass 2
  35. Fri Jul 19 08:45:37 2024 found 42927734 duplicates and 178566089 unique relations
  36. Fri Jul 19 08:45:37 2024 memory use: 1321.5 MB
  37. Fri Jul 19 08:45:37 2024 reading ideals above 720000
  38. Fri Jul 19 08:45:37 2024 commencing singleton removal, initial pass
  39. Fri Jul 19 08:54:42 2024 memory use: 5512.0 MB
  40. Fri Jul 19 08:54:42 2024 reading all ideals from disk
  41. Fri Jul 19 08:54:45 2024 memory use: 8123.2 MB
  42. Fri Jul 19 08:55:01 2024 keeping 186071154 ideals with weight <= 200, target excess is 953671
  43. Fri Jul 19 08:55:23 2024 commencing in-memory singleton removal
  44. Fri Jul 19 08:55:24 2024 begin with 178566089 relations and 186071154 unique ideals
  45. Fri Jul 19 08:55:32 2024 reduce to 72011173 relations and 63821851 ideals in 19 passes
  46. Fri Jul 19 08:55:32 2024 max relations containing the same ideal: 113
  47. Fri Jul 19 08:56:01 2024 removing 7913458 relations and 6913458 ideals in 1000000 cliques
  48. Fri Jul 19 08:56:04 2024 commencing in-memory singleton removal
  49. Fri Jul 19 08:56:05 2024 begin with 64097715 relations and 63821851 unique ideals
  50. Fri Jul 19 08:56:07 2024 reduce to 63451730 relations and 56250700 ideals in 10 passes
  51. Fri Jul 19 08:56:07 2024 max relations containing the same ideal: 105
  52. Fri Jul 19 08:56:32 2024 removing 5893786 relations and 4893786 ideals in 1000000 cliques
  53. Fri Jul 19 08:56:34 2024 commencing in-memory singleton removal
  54. Fri Jul 19 08:56:35 2024 begin with 57557944 relations and 56250700 unique ideals
  55. Fri Jul 19 08:56:37 2024 reduce to 57139930 relations and 50932208 ideals in 9 passes
  56. Fri Jul 19 08:56:37 2024 max relations containing the same ideal: 95
  57. Fri Jul 19 08:56:58 2024 removing 5267847 relations and 4267847 ideals in 1000000 cliques
  58. Fri Jul 19 08:57:00 2024 commencing in-memory singleton removal
  59. Fri Jul 19 08:57:00 2024 begin with 51872083 relations and 50932208 unique ideals
  60. Fri Jul 19 08:57:02 2024 reduce to 51500307 relations and 46286532 ideals in 8 passes
  61. Fri Jul 19 08:57:02 2024 max relations containing the same ideal: 89
  62. Fri Jul 19 08:57:20 2024 removing 4938892 relations and 3938892 ideals in 1000000 cliques
  63. Fri Jul 19 08:57:22 2024 commencing in-memory singleton removal
  64. Fri Jul 19 08:57:22 2024 begin with 46561415 relations and 46286532 unique ideals
  65. Fri Jul 19 08:57:24 2024 reduce to 46202450 relations and 41982498 ideals in 9 passes
  66. Fri Jul 19 08:57:24 2024 max relations containing the same ideal: 83
  67. Fri Jul 19 08:57:41 2024 removing 4731004 relations and 3731004 ideals in 1000000 cliques
  68. Fri Jul 19 08:57:43 2024 commencing in-memory singleton removal
  69. Fri Jul 19 08:57:43 2024 begin with 41471446 relations and 41982498 unique ideals
  70. Fri Jul 19 08:57:44 2024 reduce to 41108144 relations and 37881404 ideals in 10 passes
  71. Fri Jul 19 08:57:44 2024 max relations containing the same ideal: 80
  72. Fri Jul 19 08:57:59 2024 removing 4588942 relations and 3588942 ideals in 1000000 cliques
  73. Fri Jul 19 08:58:00 2024 commencing in-memory singleton removal
  74. Fri Jul 19 08:58:01 2024 begin with 36519202 relations and 37881404 unique ideals
  75. Fri Jul 19 08:58:02 2024 reduce to 36139477 relations and 33904694 ideals in 9 passes
  76. Fri Jul 19 08:58:02 2024 max relations containing the same ideal: 77
  77. Fri Jul 19 08:58:15 2024 removing 4495356 relations and 3495356 ideals in 1000000 cliques
  78. Fri Jul 19 08:58:16 2024 commencing in-memory singleton removal
  79. Fri Jul 19 08:58:17 2024 begin with 31644121 relations and 33904694 unique ideals
  80. Fri Jul 19 08:58:18 2024 reduce to 31230964 relations and 29986324 ideals in 9 passes
  81. Fri Jul 19 08:58:18 2024 max relations containing the same ideal: 70
  82. Fri Jul 19 08:58:28 2024 removing 911847 relations and 773466 ideals in 138381 cliques
  83. Fri Jul 19 08:58:29 2024 commencing in-memory singleton removal
  84. Fri Jul 19 08:58:29 2024 begin with 30319117 relations and 29986324 unique ideals
  85. Fri Jul 19 08:58:30 2024 reduce to 30303107 relations and 29196779 ideals in 7 passes
  86. Fri Jul 19 08:58:30 2024 max relations containing the same ideal: 70
  87. Fri Jul 19 08:58:33 2024 relations with 0 large ideals: 3077
  88. Fri Jul 19 08:58:33 2024 relations with 1 large ideals: 33816
  89. Fri Jul 19 08:58:33 2024 relations with 2 large ideals: 411730
  90. Fri Jul 19 08:58:33 2024 relations with 3 large ideals: 2112172
  91. Fri Jul 19 08:58:33 2024 relations with 4 large ideals: 5626322
  92. Fri Jul 19 08:58:33 2024 relations with 5 large ideals: 8536731
  93. Fri Jul 19 08:58:33 2024 relations with 6 large ideals: 7733891
  94. Fri Jul 19 08:58:33 2024 relations with 7+ large ideals: 5845368
  95. Fri Jul 19 08:58:33 2024 commencing 2-way merge
  96. Fri Jul 19 08:58:50 2024 reduce to 17995673 relation sets and 16889345 unique ideals
  97. Fri Jul 19 08:58:50 2024 commencing full merge
  98. Fri Jul 19 09:04:08 2024 memory use: 2050.5 MB
  99. Fri Jul 19 09:04:09 2024 found 7814256 cycles, need 7773545
  100. Fri Jul 19 09:04:11 2024 weight of 7773545 cycles is about 1011204496 (130.08/cycle)
  101. Fri Jul 19 09:04:11 2024 distribution of cycle lengths:
  102. Fri Jul 19 09:04:11 2024 1 relations: 332411
  103. Fri Jul 19 09:04:11 2024 2 relations: 464873
  104. Fri Jul 19 09:04:11 2024 3 relations: 531354
  105. Fri Jul 19 09:04:11 2024 4 relations: 533101
  106. Fri Jul 19 09:04:11 2024 5 relations: 534557
  107. Fri Jul 19 09:04:11 2024 6 relations: 521477
  108. Fri Jul 19 09:04:11 2024 7 relations: 504726
  109. Fri Jul 19 09:04:11 2024 8 relations: 480608
  110. Fri Jul 19 09:04:11 2024 9 relations: 455843
  111. Fri Jul 19 09:04:11 2024 10+ relations: 3414595
  112. Fri Jul 19 09:04:11 2024 heaviest cycle: 28 relations
  113. Fri Jul 19 09:04:13 2024 commencing cycle optimization
  114. Fri Jul 19 09:04:27 2024 start with 73741181 relations
  115. Fri Jul 19 09:06:51 2024 pruned 2954602 relations
  116. Fri Jul 19 09:06:51 2024 memory use: 1992.8 MB
  117. Fri Jul 19 09:06:51 2024 distribution of cycle lengths:
  118. Fri Jul 19 09:06:51 2024 1 relations: 332411
  119. Fri Jul 19 09:06:51 2024 2 relations: 476943
  120. Fri Jul 19 09:06:51 2024 3 relations: 552966
  121. Fri Jul 19 09:06:51 2024 4 relations: 553228
  122. Fri Jul 19 09:06:51 2024 5 relations: 557651
  123. Fri Jul 19 09:06:51 2024 6 relations: 541812
  124. Fri Jul 19 09:06:51 2024 7 relations: 526201
  125. Fri Jul 19 09:06:51 2024 8 relations: 498770
  126. Fri Jul 19 09:06:51 2024 9 relations: 473081
  127. Fri Jul 19 09:06:51 2024 10+ relations: 3260482
  128. Fri Jul 19 09:06:51 2024 heaviest cycle: 28 relations
  129. Fri Jul 19 09:07:01 2024 RelProcTime: 1851
  130. Fri Jul 19 09:07:01 2024
  131. Fri Jul 19 09:07:01 2024 commencing linear algebra
  132. Fri Jul 19 09:07:01 2024 using VBITS=256
  133. Fri Jul 19 09:07:01 2024 initialized process (0,0) of 1 x 1 grid
  134. Fri Jul 19 09:07:02 2024 read 7773545 cycles
  135. Fri Jul 19 09:07:15 2024 cycles contain 29588273 unique relations
  136. Fri Jul 19 09:10:15 2024 read 29588273 relations
  137. Fri Jul 19 09:10:16 2024 using 20 quadratic characters above 4294917295
  138. Fri Jul 19 09:10:19 2024 building initial matrix
  139. Fri Jul 19 09:15:24 2024 memory use: 4001.3 MB
  140. Fri Jul 19 09:15:29 2024 read 7773545 cycles
  141. Fri Jul 19 09:15:30 2024 matrix is 7773367 x 7773545 (3953.0 MB) with weight 1205215729 (155.04/col)
  142. Fri Jul 19 09:15:30 2024 sparse part has weight 942969523 (121.30/col)
  143. Fri Jul 19 09:16:56 2024 filtering completed in 2 passes
  144. Fri Jul 19 09:16:58 2024 matrix is 7773005 x 7773183 (3952.9 MB) with weight 1205196058 (155.05/col)
  145. Fri Jul 19 09:16:58 2024 sparse part has weight 942963346 (121.31/col)
  146. Fri Jul 19 09:17:44 2024 matrix starts at (0, 0)
  147. Fri Jul 19 09:17:45 2024 matrix is 7773005 x 7773183 (3952.9 MB) with weight 1205196058 (155.05/col)
  148. Fri Jul 19 09:17:45 2024 sparse part has weight 942963346 (121.31/col)
  149. Fri Jul 19 09:17:45 2024 saving the first 240 matrix rows for later
  150. Fri Jul 19 09:17:46 2024 matrix includes 256 packed rows
  151. Fri Jul 19 09:17:49 2024 matrix is 7772765 x 7773183 (3552.8 MB) with weight 863378047 (111.07/col)
  152. Fri Jul 19 09:17:49 2024 sparse part has weight 806964603 (103.81/col)
  153. Fri Jul 19 09:17:49 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  154. Fri Jul 19 09:18:06 2024 commencing Lanczos iteration (64 threads)
  155. Fri Jul 19 09:18:06 2024 memory use: 5000.8 MB
  156. Fri Jul 19 09:19:20 2024 linear algebra at 0.4%, ETA 5h 3m
  157. Fri Jul 19 09:21:10 2024 checking every 20000 dimensions, checkpointing every 1520000 dimensions
  158. Fri Jul 19 14:08:17 2024 lanczos halted after 30455 iterations (dim = 7772764)
  159. Fri Jul 19 14:08:49 2024 recovered 30 nontrivial dependencies
  160. Fri Jul 19 14:08:50 2024 BLanczosTime: 18109
  161. Fri Jul 19 14:08:50 2024
  162. Fri Jul 19 14:08:50 2024 commencing square root phase
  163. Fri Jul 19 14:08:50 2024 handling dependencies 1 to 64
  164. Fri Jul 19 14:08:50 2024 reading relations for dependency 1
  165. Fri Jul 19 14:08:50 2024 read 3885450 cycles
  166. Fri Jul 19 14:08:57 2024 cycles contain 14791634 unique relations
  167. Fri Jul 19 14:12:31 2024 read 14791634 relations
  168. Fri Jul 19 14:13:30 2024 multiplying 14791634 relations
  169. Fri Jul 19 14:15:36 2024 multiply complete, coefficients have about 778.93 million bits
  170. Fri Jul 19 14:15:39 2024 initial square root is modulo 9731027
  171. Fri Jul 19 14:22:09 2024 GCD is 1, no factor found
  172. Fri Jul 19 14:22:09 2024 reading relations for dependency 2
  173. Fri Jul 19 14:22:10 2024 read 3888286 cycles
  174. Fri Jul 19 14:22:17 2024 cycles contain 14796838 unique relations
  175. Fri Jul 19 14:25:37 2024 read 14796838 relations
  176. Fri Jul 19 14:26:35 2024 multiplying 14796838 relations
  177. Fri Jul 19 14:28:31 2024 multiply complete, coefficients have about 779.20 million bits
  178. Fri Jul 19 14:28:33 2024 initial square root is modulo 9786739
  179. Fri Jul 19 14:35:25 2024 sqrtTime: 1595
  180. Fri Jul 19 14:35:25 2024 p61 factor: 5123802940149439034757100056164991724709329665471053736130541
  181. Fri Jul 19 14:35:25 2024 p106 factor: 1058935304273366066542063959763992206058706020184081497776232451486561707987492639346709626215198624388369
  182. Fri Jul 19 14:35:25 2024 elapsed time 05:59:16
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