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Apr 15th, 2025
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  1. Tue Apr 15 00:10:19 2025
  2. Tue Apr 15 00:10:19 2025
  3. Tue Apr 15 00:10:19 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Apr 15 00:10:19 2025 random seeds: eec81994 49bc43e3
  5. Tue Apr 15 00:10:19 2025 MPI process 0 of 1
  6. Tue Apr 15 00:10:19 2025 Using 64 OpenMP threads
  7. Tue Apr 15 00:10:19 2025 factoring 3328099880914840956861580787037296649093490814883195777548415452299252275895571766340165181595342834792650668978714336735287081533224250186651933008683539197691 (160 digits)
  8. Tue Apr 15 00:10:19 2025 searching for 15-digit factors
  9. Tue Apr 15 00:10:20 2025 commencing number field sieve (160-digit input)
  10. Tue Apr 15 00:10:20 2025 R0: -7956077863141735988568545823263
  11. Tue Apr 15 00:10:20 2025 R1: 227031848709872059
  12. Tue Apr 15 00:10:20 2025 A0: 97014642284177872584318081688010125248
  13. Tue Apr 15 00:10:20 2025 A1: -7226497014889645152857225711772
  14. Tue Apr 15 00:10:20 2025 A2: -238021845100504834146882556
  15. Tue Apr 15 00:10:20 2025 A3: -158328210761940024103
  16. Tue Apr 15 00:10:20 2025 A4: 6142771375388
  17. Tue Apr 15 00:10:20 2025 A5: 104400
  18. Tue Apr 15 00:10:20 2025 skew 6203930.59, size 1.394e-15, alpha -7.589, combined = 1.330e-12 rroots = 3
  19. Tue Apr 15 00:10:20 2025
  20. Tue Apr 15 00:10:20 2025 commencing relation filtering
  21. Tue Apr 15 00:10:20 2025 setting target matrix density to 120.0
  22. Tue Apr 15 00:10:20 2025 estimated available RAM is 257736.5 MB
  23. Tue Apr 15 00:10:20 2025 commencing duplicate removal, pass 1
  24. Tue Apr 15 00:11:08 2025 error -1 reading relation 25638217
  25. Tue Apr 15 00:12:03 2025 error -1 reading relation 53863341
  26. Tue Apr 15 00:12:08 2025 error -1 reading relation 56658635
  27. Tue Apr 15 00:12:54 2025 error -1 reading relation 80510886
  28. Tue Apr 15 00:13:08 2025 error -1 reading relation 87999547
  29. Tue Apr 15 00:13:36 2025 error -1 reading relation 103610560
  30. Tue Apr 15 00:13:57 2025 error -1 reading relation 114154834
  31. Tue Apr 15 00:14:07 2025 error -1 reading relation 119093524
  32. Tue Apr 15 00:14:10 2025 skipped 119 malformed relations
  33. Tue Apr 15 00:14:10 2025 found 21874654 hash collisions in 120849505 relations
  34. Tue Apr 15 00:14:33 2025 added 122376 free relations
  35. Tue Apr 15 00:14:33 2025 commencing duplicate removal, pass 2
  36. Tue Apr 15 00:17:03 2025 found 20450011 duplicates and 100521870 unique relations
  37. Tue Apr 15 00:17:03 2025 memory use: 660.8 MB
  38. Tue Apr 15 00:17:03 2025 reading ideals above 720000
  39. Tue Apr 15 00:17:03 2025 commencing singleton removal, initial pass
  40. Tue Apr 15 00:23:06 2025 memory use: 2756.0 MB
  41. Tue Apr 15 00:23:06 2025 reading all ideals from disk
  42. Tue Apr 15 00:23:08 2025 memory use: 4520.2 MB
  43. Tue Apr 15 00:23:19 2025 keeping 90031283 ideals with weight <= 200, target excess is 525937
  44. Tue Apr 15 00:23:33 2025 commencing in-memory singleton removal
  45. Tue Apr 15 00:23:34 2025 begin with 100521870 relations and 90031283 unique ideals
  46. Tue Apr 15 00:23:41 2025 reduce to 65968057 relations and 52019977 ideals in 15 passes
  47. Tue Apr 15 00:23:41 2025 max relations containing the same ideal: 161
  48. Tue Apr 15 00:24:10 2025 removing 8663377 relations and 6663377 ideals in 2000000 cliques
  49. Tue Apr 15 00:24:14 2025 commencing in-memory singleton removal
  50. Tue Apr 15 00:24:15 2025 begin with 57304680 relations and 52019977 unique ideals
  51. Tue Apr 15 00:24:17 2025 reduce to 56432266 relations and 44452170 ideals in 8 passes
  52. Tue Apr 15 00:24:17 2025 max relations containing the same ideal: 142
  53. Tue Apr 15 00:24:41 2025 removing 6829986 relations and 4829986 ideals in 2000000 cliques
  54. Tue Apr 15 00:24:44 2025 commencing in-memory singleton removal
  55. Tue Apr 15 00:24:44 2025 begin with 49602280 relations and 44452170 unique ideals
  56. Tue Apr 15 00:24:47 2025 reduce to 48981346 relations and 38979671 ideals in 8 passes
  57. Tue Apr 15 00:24:47 2025 max relations containing the same ideal: 132
  58. Tue Apr 15 00:25:08 2025 removing 6340687 relations and 4340687 ideals in 2000000 cliques
  59. Tue Apr 15 00:25:10 2025 commencing in-memory singleton removal
  60. Tue Apr 15 00:25:11 2025 begin with 42640659 relations and 38979671 unique ideals
  61. Tue Apr 15 00:25:13 2025 reduce to 42065024 relations and 34042152 ideals in 8 passes
  62. Tue Apr 15 00:25:13 2025 max relations containing the same ideal: 122
  63. Tue Apr 15 00:25:32 2025 removing 6099076 relations and 4099076 ideals in 2000000 cliques
  64. Tue Apr 15 00:25:34 2025 commencing in-memory singleton removal
  65. Tue Apr 15 00:25:34 2025 begin with 35965948 relations and 34042152 unique ideals
  66. Tue Apr 15 00:25:36 2025 reduce to 35380582 relations and 29333302 ideals in 7 passes
  67. Tue Apr 15 00:25:36 2025 max relations containing the same ideal: 105
  68. Tue Apr 15 00:25:51 2025 removing 5959569 relations and 3959569 ideals in 2000000 cliques
  69. Tue Apr 15 00:25:53 2025 commencing in-memory singleton removal
  70. Tue Apr 15 00:25:54 2025 begin with 29421013 relations and 29333302 unique ideals
  71. Tue Apr 15 00:25:55 2025 reduce to 28790577 relations and 24712738 ideals in 8 passes
  72. Tue Apr 15 00:25:55 2025 max relations containing the same ideal: 92
  73. Tue Apr 15 00:26:07 2025 removing 5863766 relations and 3863766 ideals in 2000000 cliques
  74. Tue Apr 15 00:26:09 2025 commencing in-memory singleton removal
  75. Tue Apr 15 00:26:09 2025 begin with 22926811 relations and 24712738 unique ideals
  76. Tue Apr 15 00:26:10 2025 reduce to 22205739 relations and 20084864 ideals in 8 passes
  77. Tue Apr 15 00:26:10 2025 max relations containing the same ideal: 77
  78. Tue Apr 15 00:26:22 2025 removing 4599721 relations and 3088933 ideals in 1510788 cliques
  79. Tue Apr 15 00:26:24 2025 commencing in-memory singleton removal
  80. Tue Apr 15 00:26:24 2025 begin with 17606018 relations and 20084864 unique ideals
  81. Tue Apr 15 00:26:25 2025 reduce to 17011157 relations and 16365485 ideals in 9 passes
  82. Tue Apr 15 00:26:25 2025 max relations containing the same ideal: 64
  83. Tue Apr 15 00:26:32 2025 removing 214916 relations and 179331 ideals in 35585 cliques
  84. Tue Apr 15 00:26:33 2025 commencing in-memory singleton removal
  85. Tue Apr 15 00:26:33 2025 begin with 16796241 relations and 16365485 unique ideals
  86. Tue Apr 15 00:26:34 2025 reduce to 16794490 relations and 16184393 ideals in 5 passes
  87. Tue Apr 15 00:26:34 2025 max relations containing the same ideal: 63
  88. Tue Apr 15 00:26:36 2025 relations with 0 large ideals: 1708
  89. Tue Apr 15 00:26:36 2025 relations with 1 large ideals: 10974
  90. Tue Apr 15 00:26:36 2025 relations with 2 large ideals: 144711
  91. Tue Apr 15 00:26:36 2025 relations with 3 large ideals: 820206
  92. Tue Apr 15 00:26:36 2025 relations with 4 large ideals: 2449463
  93. Tue Apr 15 00:26:36 2025 relations with 5 large ideals: 4245855
  94. Tue Apr 15 00:26:36 2025 relations with 6 large ideals: 4545909
  95. Tue Apr 15 00:26:36 2025 relations with 7+ large ideals: 4575664
  96. Tue Apr 15 00:26:36 2025 commencing 2-way merge
  97. Tue Apr 15 00:26:44 2025 reduce to 11096485 relation sets and 10486388 unique ideals
  98. Tue Apr 15 00:26:44 2025 commencing full merge
  99. Tue Apr 15 00:30:22 2025 memory use: 1342.6 MB
  100. Tue Apr 15 00:30:24 2025 found 5045161 cycles, need 4992588
  101. Tue Apr 15 00:30:25 2025 weight of 4992588 cycles is about 599157710 (120.01/cycle)
  102. Tue Apr 15 00:30:25 2025 distribution of cycle lengths:
  103. Tue Apr 15 00:30:25 2025 1 relations: 136212
  104. Tue Apr 15 00:30:25 2025 2 relations: 278906
  105. Tue Apr 15 00:30:25 2025 3 relations: 354009
  106. Tue Apr 15 00:30:25 2025 4 relations: 378382
  107. Tue Apr 15 00:30:25 2025 5 relations: 399982
  108. Tue Apr 15 00:30:25 2025 6 relations: 399923
  109. Tue Apr 15 00:30:25 2025 7 relations: 392229
  110. Tue Apr 15 00:30:25 2025 8 relations: 372955
  111. Tue Apr 15 00:30:25 2025 9 relations: 346089
  112. Tue Apr 15 00:30:25 2025 10+ relations: 1933901
  113. Tue Apr 15 00:30:25 2025 heaviest cycle: 27 relations
  114. Tue Apr 15 00:30:26 2025 commencing cycle optimization
  115. Tue Apr 15 00:30:36 2025 start with 43621384 relations
  116. Tue Apr 15 00:32:09 2025 pruned 2141770 relations
  117. Tue Apr 15 00:32:09 2025 memory use: 1145.5 MB
  118. Tue Apr 15 00:32:10 2025 distribution of cycle lengths:
  119. Tue Apr 15 00:32:10 2025 1 relations: 136212
  120. Tue Apr 15 00:32:10 2025 2 relations: 287559
  121. Tue Apr 15 00:32:10 2025 3 relations: 371374
  122. Tue Apr 15 00:32:10 2025 4 relations: 397540
  123. Tue Apr 15 00:32:10 2025 5 relations: 423435
  124. Tue Apr 15 00:32:10 2025 6 relations: 422673
  125. Tue Apr 15 00:32:10 2025 7 relations: 414933
  126. Tue Apr 15 00:32:10 2025 8 relations: 392614
  127. Tue Apr 15 00:32:10 2025 9 relations: 362194
  128. Tue Apr 15 00:32:10 2025 10+ relations: 1784054
  129. Tue Apr 15 00:32:10 2025 heaviest cycle: 27 relations
  130. Tue Apr 15 00:32:16 2025 RelProcTime: 1316
  131. Tue Apr 15 00:32:16 2025
  132. Tue Apr 15 00:32:16 2025 commencing linear algebra
  133. Tue Apr 15 00:32:16 2025 using VBITS=256
  134. Tue Apr 15 00:32:16 2025 initialized process (0,0) of 1 x 1 grid
  135. Tue Apr 15 00:32:17 2025 read 4992588 cycles
  136. Tue Apr 15 00:32:25 2025 cycles contain 16484577 unique relations
  137. Tue Apr 15 00:34:18 2025 read 16484577 relations
  138. Tue Apr 15 00:34:19 2025 using 20 quadratic characters above 4294917295
  139. Tue Apr 15 00:34:21 2025 building initial matrix
  140. Tue Apr 15 00:37:43 2025 memory use: 2240.1 MB
  141. Tue Apr 15 00:37:47 2025 read 4992588 cycles
  142. Tue Apr 15 00:37:48 2025 matrix is 4992411 x 4992588 (2340.9 MB) with weight 711802827 (142.57/col)
  143. Tue Apr 15 00:37:48 2025 sparse part has weight 553753041 (110.92/col)
  144. Tue Apr 15 00:38:47 2025 filtering completed in 2 passes
  145. Tue Apr 15 00:38:48 2025 matrix is 4992241 x 4992417 (2340.9 MB) with weight 711793809 (142.57/col)
  146. Tue Apr 15 00:38:48 2025 sparse part has weight 553749616 (110.92/col)
  147. Tue Apr 15 00:39:18 2025 matrix starts at (0, 0)
  148. Tue Apr 15 00:39:18 2025 matrix is 4992241 x 4992417 (2340.9 MB) with weight 711793809 (142.57/col)
  149. Tue Apr 15 00:39:18 2025 sparse part has weight 553749616 (110.92/col)
  150. Tue Apr 15 00:39:18 2025 saving the first 240 matrix rows for later
  151. Tue Apr 15 00:39:19 2025 matrix includes 256 packed rows
  152. Tue Apr 15 00:39:21 2025 matrix is 4992001 x 4992417 (2097.0 MB) with weight 502639139 (100.68/col)
  153. Tue Apr 15 00:39:21 2025 sparse part has weight 469835273 (94.11/col)
  154. Tue Apr 15 00:39:21 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  155. Tue Apr 15 00:39:33 2025 commencing Lanczos iteration (64 threads)
  156. Tue Apr 15 00:39:33 2025 memory use: 3037.1 MB
  157. Tue Apr 15 00:43:30 2025 linear algebra at 0.6%, ETA 10h37m
  158. Tue Apr 15 00:44:30 2025 checking every 10000 dimensions, checkpointing every 940000 dimensions
  159. Tue Apr 15 02:33:56 2025 lanczos halted after 19559 iterations (dim = 4992001)
  160. Tue Apr 15 02:34:12 2025 recovered 31 nontrivial dependencies
  161. Tue Apr 15 02:34:13 2025 BLanczosTime: 7317
  162. Tue Apr 15 02:34:13 2025
  163. Tue Apr 15 02:34:13 2025 commencing square root phase
  164. Tue Apr 15 02:34:13 2025 handling dependencies 1 to 64
  165. Tue Apr 15 02:34:13 2025 reading relations for dependency 1
  166. Tue Apr 15 02:34:13 2025 read 2496113 cycles
  167. Tue Apr 15 02:34:17 2025 cycles contain 8244306 unique relations
  168. Tue Apr 15 02:36:07 2025 read 8244306 relations
  169. Tue Apr 15 02:36:38 2025 multiplying 8244306 relations
  170. Tue Apr 15 02:38:10 2025 multiply complete, coefficients have about 452.88 million bits
  171. Tue Apr 15 02:38:11 2025 initial square root is modulo 133671893
  172. Tue Apr 15 02:41:55 2025 GCD is N, no factor found
  173. Tue Apr 15 02:41:55 2025 reading relations for dependency 2
  174. Tue Apr 15 02:41:55 2025 read 2495465 cycles
  175. Tue Apr 15 02:41:59 2025 cycles contain 8240956 unique relations
  176. Tue Apr 15 02:43:46 2025 read 8240956 relations
  177. Tue Apr 15 02:44:18 2025 multiplying 8240956 relations
  178. Tue Apr 15 02:45:35 2025 multiply complete, coefficients have about 452.70 million bits
  179. Tue Apr 15 02:45:36 2025 initial square root is modulo 132718051
  180. Tue Apr 15 02:49:08 2025 GCD is 1, no factor found
  181. Tue Apr 15 02:49:08 2025 reading relations for dependency 3
  182. Tue Apr 15 02:49:09 2025 read 2496074 cycles
  183. Tue Apr 15 02:49:13 2025 cycles contain 8241688 unique relations
  184. Tue Apr 15 02:51:02 2025 read 8241688 relations
  185. Tue Apr 15 02:51:39 2025 multiplying 8241688 relations
  186. Tue Apr 15 02:52:53 2025 multiply complete, coefficients have about 452.73 million bits
  187. Tue Apr 15 02:52:54 2025 initial square root is modulo 132894257
  188. Tue Apr 15 02:56:44 2025 GCD is N, no factor found
  189. Tue Apr 15 02:56:44 2025 reading relations for dependency 4
  190. Tue Apr 15 02:56:44 2025 read 2495947 cycles
  191. Tue Apr 15 02:56:49 2025 cycles contain 8241964 unique relations
  192. Tue Apr 15 02:58:35 2025 read 8241964 relations
  193. Tue Apr 15 02:59:06 2025 multiplying 8241964 relations
  194. Tue Apr 15 03:00:21 2025 multiply complete, coefficients have about 452.75 million bits
  195. Tue Apr 15 03:00:22 2025 initial square root is modulo 132982609
  196. Tue Apr 15 03:04:16 2025 sqrtTime: 1803
  197. Tue Apr 15 03:04:16 2025 p74 factor: 17001674263615656705609060508619837032971588875825784527470244003750185663
  198. Tue Apr 15 03:04:16 2025 p87 factor: 195751302448907843475556614682210863032261830264384618484493652794826340857699995932357
  199. Tue Apr 15 03:04:16 2025 elapsed time 02:53:57
  200.  
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