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May 30th, 2025
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  1. Thu May 29 17:28:16 2025
  2. Thu May 29 17:28:16 2025
  3. Thu May 29 17:28:16 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 29 17:28:16 2025 random seeds: 11c9ce2c 448e1cde
  5. Thu May 29 17:28:16 2025 MPI process 0 of 1
  6. Thu May 29 17:28:16 2025 Using 64 OpenMP threads
  7. Thu May 29 17:28:16 2025 factoring 30414265551553370211291025265986284970279882174074555074834654050464758626385166626726243698117043558262309388805280108745442747004424464841510382646787597567247 (161 digits)
  8. Thu May 29 17:28:16 2025 searching for 15-digit factors
  9. Thu May 29 17:28:17 2025 commencing number field sieve (161-digit input)
  10. Thu May 29 17:28:17 2025 R0: -11848643939694460866118632773794
  11. Thu May 29 17:28:17 2025 R1: 548278637646354332816317
  12. Thu May 29 17:28:17 2025 A0: -1684434788569701618216504411672695655
  13. Thu May 29 17:28:17 2025 A1: 10858874400747234398784110489019
  14. Thu May 29 17:28:17 2025 A2: 11800589694168524600789347
  15. Thu May 29 17:28:17 2025 A3: -7355780843474714993
  16. Thu May 29 17:28:17 2025 A4: -1691058628626
  17. Thu May 29 17:28:17 2025 A5: 223020
  18. Thu May 29 17:28:17 2025 skew 2550224.43, size 1.564e-15, alpha -6.029, combined = 1.513e-12 rroots = 5
  19. Thu May 29 17:28:17 2025
  20. Thu May 29 17:28:17 2025 commencing relation filtering
  21. Thu May 29 17:28:17 2025 setting target matrix density to 120.0
  22. Thu May 29 17:28:17 2025 estimated available RAM is 257736.5 MB
  23. Thu May 29 17:28:17 2025 commencing duplicate removal, pass 1
  24. Thu May 29 17:29:55 2025 error -1 reading relation 57580232
  25. Thu May 29 17:30:11 2025 error -1 reading relation 67100550
  26. Thu May 29 17:30:17 2025 error -1 reading relation 70457649
  27. Thu May 29 17:30:29 2025 error -1 reading relation 77545482
  28. Thu May 29 17:30:58 2025 error -1 reading relation 94829743
  29. Thu May 29 17:31:38 2025 skipped 65 malformed relations
  30. Thu May 29 17:31:38 2025 found 19751197 hash collisions in 117516141 relations
  31. Thu May 29 17:32:04 2025 added 121581 free relations
  32. Thu May 29 17:32:04 2025 commencing duplicate removal, pass 2
  33. Thu May 29 17:34:38 2025 found 17924350 duplicates and 99713372 unique relations
  34. Thu May 29 17:34:38 2025 memory use: 660.8 MB
  35. Thu May 29 17:34:38 2025 reading ideals above 720000
  36. Thu May 29 17:34:38 2025 commencing singleton removal, initial pass
  37. Thu May 29 17:40:43 2025 memory use: 2756.0 MB
  38. Thu May 29 17:40:43 2025 reading all ideals from disk
  39. Thu May 29 17:40:45 2025 memory use: 4478.5 MB
  40. Thu May 29 17:40:58 2025 keeping 89740235 ideals with weight <= 200, target excess is 520452
  41. Thu May 29 17:41:14 2025 commencing in-memory singleton removal
  42. Thu May 29 17:41:15 2025 begin with 99713372 relations and 89740235 unique ideals
  43. Thu May 29 17:41:21 2025 reduce to 64742327 relations and 51200987 ideals in 14 passes
  44. Thu May 29 17:41:21 2025 max relations containing the same ideal: 158
  45. Thu May 29 17:41:59 2025 removing 8713157 relations and 6713157 ideals in 2000000 cliques
  46. Thu May 29 17:42:03 2025 commencing in-memory singleton removal
  47. Thu May 29 17:42:04 2025 begin with 56029170 relations and 51200987 unique ideals
  48. Thu May 29 17:42:06 2025 reduce to 55127717 relations and 43552449 ideals in 9 passes
  49. Thu May 29 17:42:06 2025 max relations containing the same ideal: 143
  50. Thu May 29 17:42:32 2025 removing 6873429 relations and 4873429 ideals in 2000000 cliques
  51. Thu May 29 17:42:36 2025 commencing in-memory singleton removal
  52. Thu May 29 17:42:37 2025 begin with 48254288 relations and 43552449 unique ideals
  53. Thu May 29 17:42:38 2025 reduce to 47609778 relations and 38011585 ideals in 7 passes
  54. Thu May 29 17:42:38 2025 max relations containing the same ideal: 128
  55. Thu May 29 17:43:04 2025 removing 6378569 relations and 4378569 ideals in 2000000 cliques
  56. Thu May 29 17:43:07 2025 commencing in-memory singleton removal
  57. Thu May 29 17:43:08 2025 begin with 41231209 relations and 38011585 unique ideals
  58. Thu May 29 17:43:10 2025 reduce to 40632302 relations and 33011045 ideals in 7 passes
  59. Thu May 29 17:43:10 2025 max relations containing the same ideal: 115
  60. Thu May 29 17:43:31 2025 removing 6139194 relations and 4139194 ideals in 2000000 cliques
  61. Thu May 29 17:43:34 2025 commencing in-memory singleton removal
  62. Thu May 29 17:43:34 2025 begin with 34493108 relations and 33011045 unique ideals
  63. Thu May 29 17:43:36 2025 reduce to 33878172 relations and 28230524 ideals in 8 passes
  64. Thu May 29 17:43:36 2025 max relations containing the same ideal: 103
  65. Thu May 29 17:43:55 2025 removing 5997529 relations and 3997529 ideals in 2000000 cliques
  66. Thu May 29 17:43:58 2025 commencing in-memory singleton removal
  67. Thu May 29 17:43:58 2025 begin with 27880643 relations and 28230524 unique ideals
  68. Thu May 29 17:43:59 2025 reduce to 27207478 relations and 23525236 ideals in 8 passes
  69. Thu May 29 17:43:59 2025 max relations containing the same ideal: 90
  70. Thu May 29 17:44:14 2025 removing 5906405 relations and 3906405 ideals in 2000000 cliques
  71. Thu May 29 17:44:16 2025 commencing in-memory singleton removal
  72. Thu May 29 17:44:16 2025 begin with 21301073 relations and 23525236 unique ideals
  73. Thu May 29 17:44:17 2025 reduce to 20517576 relations and 18785720 ideals in 8 passes
  74. Thu May 29 17:44:17 2025 max relations containing the same ideal: 76
  75. Thu May 29 17:44:27 2025 removing 3673852 relations and 2545721 ideals in 1128131 cliques
  76. Thu May 29 17:44:29 2025 commencing in-memory singleton removal
  77. Thu May 29 17:44:29 2025 begin with 16843724 relations and 18785720 unique ideals
  78. Thu May 29 17:44:30 2025 reduce to 16416079 relations and 15791433 ideals in 8 passes
  79. Thu May 29 17:44:30 2025 max relations containing the same ideal: 65
  80. Thu May 29 17:44:38 2025 removing 133427 relations and 112506 ideals in 20921 cliques
  81. Thu May 29 17:44:39 2025 commencing in-memory singleton removal
  82. Thu May 29 17:44:39 2025 begin with 16282652 relations and 15791433 unique ideals
  83. Thu May 29 17:44:40 2025 reduce to 16281994 relations and 15678269 ideals in 5 passes
  84. Thu May 29 17:44:40 2025 max relations containing the same ideal: 65
  85. Thu May 29 17:44:42 2025 relations with 0 large ideals: 1698
  86. Thu May 29 17:44:42 2025 relations with 1 large ideals: 10483
  87. Thu May 29 17:44:42 2025 relations with 2 large ideals: 139398
  88. Thu May 29 17:44:42 2025 relations with 3 large ideals: 794570
  89. Thu May 29 17:44:42 2025 relations with 4 large ideals: 2376646
  90. Thu May 29 17:44:42 2025 relations with 5 large ideals: 4125980
  91. Thu May 29 17:44:42 2025 relations with 6 large ideals: 4412680
  92. Thu May 29 17:44:42 2025 relations with 7+ large ideals: 4420539
  93. Thu May 29 17:44:42 2025 commencing 2-way merge
  94. Thu May 29 17:44:53 2025 reduce to 10674221 relation sets and 10070496 unique ideals
  95. Thu May 29 17:44:53 2025 commencing full merge
  96. Thu May 29 17:49:54 2025 memory use: 1308.1 MB
  97. Thu May 29 17:49:55 2025 found 4867047 cycles, need 4814696
  98. Thu May 29 17:49:57 2025 weight of 4814696 cycles is about 578285154 (120.11/cycle)
  99. Thu May 29 17:49:57 2025 distribution of cycle lengths:
  100. Thu May 29 17:49:57 2025 1 relations: 132008
  101. Thu May 29 17:49:57 2025 2 relations: 269330
  102. Thu May 29 17:49:57 2025 3 relations: 337515
  103. Thu May 29 17:49:57 2025 4 relations: 358162
  104. Thu May 29 17:49:57 2025 5 relations: 379623
  105. Thu May 29 17:49:57 2025 6 relations: 380173
  106. Thu May 29 17:49:57 2025 7 relations: 373254
  107. Thu May 29 17:49:57 2025 8 relations: 356095
  108. Thu May 29 17:49:57 2025 9 relations: 331967
  109. Thu May 29 17:49:57 2025 10+ relations: 1896569
  110. Thu May 29 17:49:57 2025 heaviest cycle: 28 relations
  111. Thu May 29 17:49:58 2025 commencing cycle optimization
  112. Thu May 29 17:50:08 2025 start with 42367289 relations
  113. Thu May 29 17:52:18 2025 pruned 2076090 relations
  114. Thu May 29 17:52:18 2025 memory use: 1110.9 MB
  115. Thu May 29 17:52:18 2025 distribution of cycle lengths:
  116. Thu May 29 17:52:18 2025 1 relations: 132008
  117. Thu May 29 17:52:18 2025 2 relations: 277592
  118. Thu May 29 17:52:18 2025 3 relations: 353992
  119. Thu May 29 17:52:18 2025 4 relations: 375822
  120. Thu May 29 17:52:18 2025 5 relations: 400926
  121. Thu May 29 17:52:18 2025 6 relations: 402273
  122. Thu May 29 17:52:18 2025 7 relations: 395334
  123. Thu May 29 17:52:18 2025 8 relations: 374933
  124. Thu May 29 17:52:18 2025 9 relations: 348325
  125. Thu May 29 17:52:18 2025 10+ relations: 1753491
  126. Thu May 29 17:52:18 2025 heaviest cycle: 27 relations
  127. Thu May 29 17:52:30 2025 RelProcTime: 1453
  128. Thu May 29 17:52:30 2025
  129. Thu May 29 17:52:30 2025 commencing linear algebra
  130. Thu May 29 17:52:30 2025 using VBITS=256
  131. Thu May 29 17:52:30 2025 initialized process (0,0) of 1 x 1 grid
  132. Thu May 29 17:52:30 2025 read 4814696 cycles
  133. Thu May 29 17:52:42 2025 cycles contain 15973469 unique relations
  134. Thu May 29 17:54:45 2025 read 15973469 relations
  135. Thu May 29 17:54:46 2025 using 20 quadratic characters above 4294917295
  136. Thu May 29 17:54:48 2025 building initial matrix
  137. Thu May 29 17:58:45 2025 memory use: 2171.9 MB
  138. Thu May 29 17:58:50 2025 read 4814696 cycles
  139. Thu May 29 17:58:51 2025 matrix is 4814519 x 4814696 (2268.6 MB) with weight 693025802 (143.94/col)
  140. Thu May 29 17:58:51 2025 sparse part has weight 536936035 (111.52/col)
  141. Thu May 29 18:00:27 2025 filtering completed in 2 passes
  142. Thu May 29 18:00:28 2025 matrix is 4814377 x 4814552 (2268.6 MB) with weight 693017880 (143.94/col)
  143. Thu May 29 18:00:28 2025 sparse part has weight 536932996 (111.52/col)
  144. Thu May 29 18:00:55 2025 matrix starts at (0, 0)
  145. Thu May 29 18:00:56 2025 matrix is 4814377 x 4814552 (2268.6 MB) with weight 693017880 (143.94/col)
  146. Thu May 29 18:00:56 2025 sparse part has weight 536932996 (111.52/col)
  147. Thu May 29 18:00:56 2025 saving the first 240 matrix rows for later
  148. Thu May 29 18:00:57 2025 matrix includes 256 packed rows
  149. Thu May 29 18:00:58 2025 matrix is 4814137 x 4814552 (2042.7 MB) with weight 489473584 (101.67/col)
  150. Thu May 29 18:00:58 2025 sparse part has weight 458440491 (95.22/col)
  151. Thu May 29 18:00:58 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  152. Thu May 29 18:01:09 2025 commencing Lanczos iteration (64 threads)
  153. Thu May 29 18:01:09 2025 memory use: 2944.7 MB
  154. Thu May 29 18:01:55 2025 linear algebra at 0.6%, ETA 1h59m
  155. Thu May 29 18:03:02 2025 checking every 40000 dimensions, checkpointing every 2480000 dimensions
  156. Thu May 29 19:44:55 2025 lanczos halted after 18863 iterations (dim = 4814135)
  157. Thu May 29 19:45:19 2025 recovered 28 nontrivial dependencies
  158. Thu May 29 19:45:19 2025 BLanczosTime: 6769
  159. Thu May 29 19:45:19 2025
  160. Thu May 29 19:45:19 2025 commencing square root phase
  161. Thu May 29 19:45:19 2025 handling dependencies 1 to 64
  162. Thu May 29 19:45:19 2025 reading relations for dependency 1
  163. Thu May 29 19:45:20 2025 read 2406244 cycles
  164. Thu May 29 19:45:26 2025 cycles contain 7987622 unique relations
  165. Thu May 29 19:47:21 2025 read 7987622 relations
  166. Thu May 29 19:47:56 2025 multiplying 7987622 relations
  167. Thu May 29 19:49:07 2025 multiply complete, coefficients have about 430.50 million bits
  168. Thu May 29 19:49:09 2025 initial square root is modulo 53040209
  169. Thu May 29 19:52:41 2025 GCD is N, no factor found
  170. Thu May 29 19:52:41 2025 reading relations for dependency 2
  171. Thu May 29 19:52:42 2025 read 2406496 cycles
  172. Thu May 29 19:52:49 2025 cycles contain 7983200 unique relations
  173. Thu May 29 19:54:54 2025 read 7983200 relations
  174. Thu May 29 19:55:34 2025 multiplying 7983200 relations
  175. Thu May 29 19:56:43 2025 multiply complete, coefficients have about 430.27 million bits
  176. Thu May 29 19:56:44 2025 initial square root is modulo 52528171
  177. Thu May 29 20:00:22 2025 sqrtTime: 903
  178. Thu May 29 20:00:22 2025 p60 factor: 151487225905450501982705377685229496322855800287489842969123
  179. Thu May 29 20:00:22 2025 p102 factor: 200771156576173507077883190268360717117119197757116443612038128989282253472323892531143540618101361189
  180. Thu May 29 20:00:22 2025 elapsed time 02:32:06
  181.  
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