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Mar 22nd, 2025
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  1. Sat Mar 22 23:29:06 2025
  2. Sat Mar 22 23:29:06 2025
  3. Sat Mar 22 23:29:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Mar 22 23:29:06 2025 random seeds: 4b4c00b8 a43616bb
  5. Sat Mar 22 23:29:06 2025 Using 64 OpenMP threads
  6. Sat Mar 22 23:29:06 2025 factoring 669592535829242243052611024921127061915105659721024636205919632867559839771835449131320337353293090101978439744789682369192291878383042447121576093365047662353 (159 digits)
  7. Sat Mar 22 23:29:06 2025 searching for 15-digit factors
  8. Sat Mar 22 23:29:07 2025 commencing number field sieve (159-digit input)
  9. Sat Mar 22 23:29:07 2025 R0: -6430410358042806856596147694487
  10. Sat Mar 22 23:29:07 2025 R1: 71812879619607517
  11. Sat Mar 22 23:29:07 2025 A0: -3325601533187630285789308928694032780160
  12. Sat Mar 22 23:29:07 2025 A1: 1776168385319556987409162440083694
  13. Sat Mar 22 23:29:07 2025 A2: 137629854439822017958407667
  14. Sat Mar 22 23:29:07 2025 A3: -80818579884219377702
  15. Sat Mar 22 23:29:07 2025 A4: -1643335158890
  16. Sat Mar 22 23:29:07 2025 A5: 60900
  17. Sat Mar 22 23:29:07 2025 skew 11658007.55, size 1.817e-15, alpha -7.864, combined = 1.597e-12 rroots = 5
  18. Sat Mar 22 23:29:07 2025
  19. Sat Mar 22 23:29:07 2025 commencing relation filtering
  20. Sat Mar 22 23:29:07 2025 setting target matrix density to 140.0
  21. Sat Mar 22 23:29:07 2025 estimated available RAM is 257948.4 MB
  22. Sat Mar 22 23:29:07 2025 commencing duplicate removal, pass 1
  23. Sat Mar 22 23:29:10 2025 error -1 reading relation 800434
  24. Sat Mar 22 23:29:32 2025 error -1 reading relation 8022971
  25. Sat Mar 22 23:30:28 2025 error -1 reading relation 27176768
  26. Sat Mar 22 23:30:28 2025 error -1 reading relation 27290811
  27. Sat Mar 22 23:30:53 2025 error -1 reading relation 36485936
  28. Sat Mar 22 23:31:32 2025 error -1 reading relation 48837203
  29. Sat Mar 22 23:32:10 2025 error -1 reading relation 62173387
  30. Sat Mar 22 23:32:11 2025 error -1 reading relation 62567395
  31. Sat Mar 22 23:32:12 2025 error -1 reading relation 62860234
  32. Sat Mar 22 23:32:17 2025 error -1 reading relation 64393777
  33. Sat Mar 22 23:32:17 2025 error -1 reading relation 64667228
  34. Sat Mar 22 23:32:18 2025 error -1 reading relation 64726819
  35. Sat Mar 22 23:32:24 2025 error -1 reading relation 66629669
  36. Sat Mar 22 23:32:26 2025 error -1 reading relation 67313395
  37. Sat Mar 22 23:32:26 2025 error -1 reading relation 67425922
  38. Sat Mar 22 23:32:34 2025 error -1 reading relation 69805653
  39. Sat Mar 22 23:32:34 2025 error -1 reading relation 70057124
  40. Sat Mar 22 23:33:29 2025 error -1 reading relation 88917498
  41. Sat Mar 22 23:33:50 2025 error -1 reading relation 96484626
  42. Sat Mar 22 23:34:23 2025 error -1 reading relation 107546360
  43. Sat Mar 22 23:34:33 2025 error -1 reading relation 111127639
  44. Sat Mar 22 23:34:36 2025 error -1 reading relation 112133050
  45. Sat Mar 22 23:34:40 2025 error -1 reading relation 113925226
  46. Sat Mar 22 23:35:25 2025 error -1 reading relation 129479278
  47. Sat Mar 22 23:35:33 2025 error -1 reading relation 132307578
  48. Sat Mar 22 23:35:47 2025 skipped 102 malformed relations
  49. Sat Mar 22 23:35:47 2025 found 22912740 hash collisions in 137348153 relations
  50. Sat Mar 22 23:36:17 2025 added 122516 free relations
  51. Sat Mar 22 23:36:17 2025 commencing duplicate removal, pass 2
  52. Sat Mar 22 23:39:31 2025 found 22553133 duplicates and 114917536 unique relations
  53. Sat Mar 22 23:39:31 2025 memory use: 788.8 MB
  54. Sat Mar 22 23:39:32 2025 reading ideals above 720000
  55. Sat Mar 22 23:39:32 2025 commencing singleton removal, initial pass
  56. Sat Mar 22 23:48:07 2025 memory use: 2756.0 MB
  57. Sat Mar 22 23:48:07 2025 reading all ideals from disk
  58. Sat Mar 22 23:48:09 2025 memory use: 5125.7 MB
  59. Sat Mar 22 23:48:19 2025 keeping 92945401 ideals with weight <= 200, target excess is 596974
  60. Sat Mar 22 23:48:33 2025 commencing in-memory singleton removal
  61. Sat Mar 22 23:48:35 2025 begin with 114917536 relations and 92945401 unique ideals
  62. Sat Mar 22 23:48:42 2025 reduce to 84556584 relations and 60161053 ideals in 11 passes
  63. Sat Mar 22 23:48:42 2025 max relations containing the same ideal: 174
  64. Sat Mar 22 23:49:08 2025 removing 7664553 relations and 5664553 ideals in 2000000 cliques
  65. Sat Mar 22 23:49:12 2025 commencing in-memory singleton removal
  66. Sat Mar 22 23:49:13 2025 begin with 76892031 relations and 60161053 unique ideals
  67. Sat Mar 22 23:49:17 2025 reduce to 76337595 relations and 53925778 ideals in 7 passes
  68. Sat Mar 22 23:49:17 2025 max relations containing the same ideal: 160
  69. Sat Mar 22 23:49:40 2025 removing 6120301 relations and 4120301 ideals in 2000000 cliques
  70. Sat Mar 22 23:49:44 2025 commencing in-memory singleton removal
  71. Sat Mar 22 23:49:45 2025 begin with 70217294 relations and 53925778 unique ideals
  72. Sat Mar 22 23:49:49 2025 reduce to 69844792 relations and 49423215 ideals in 6 passes
  73. Sat Mar 22 23:49:49 2025 max relations containing the same ideal: 153
  74. Sat Mar 22 23:50:09 2025 removing 5715479 relations and 3715479 ideals in 2000000 cliques
  75. Sat Mar 22 23:50:12 2025 commencing in-memory singleton removal
  76. Sat Mar 22 23:50:13 2025 begin with 64129313 relations and 49423215 unique ideals
  77. Sat Mar 22 23:50:16 2025 reduce to 63804175 relations and 45374018 ideals in 7 passes
  78. Sat Mar 22 23:50:16 2025 max relations containing the same ideal: 146
  79. Sat Mar 22 23:50:36 2025 removing 5499559 relations and 3499559 ideals in 2000000 cliques
  80. Sat Mar 22 23:50:39 2025 commencing in-memory singleton removal
  81. Sat Mar 22 23:50:40 2025 begin with 58304616 relations and 45374018 unique ideals
  82. Sat Mar 22 23:50:43 2025 reduce to 57999776 relations and 41561144 ideals in 6 passes
  83. Sat Mar 22 23:50:43 2025 max relations containing the same ideal: 136
  84. Sat Mar 22 23:51:01 2025 removing 5367534 relations and 3367534 ideals in 2000000 cliques
  85. Sat Mar 22 23:51:04 2025 commencing in-memory singleton removal
  86. Sat Mar 22 23:51:05 2025 begin with 52632242 relations and 41561144 unique ideals
  87. Sat Mar 22 23:51:07 2025 reduce to 52333060 relations and 37885405 ideals in 6 passes
  88. Sat Mar 22 23:51:07 2025 max relations containing the same ideal: 130
  89. Sat Mar 22 23:51:24 2025 removing 5273353 relations and 3273353 ideals in 2000000 cliques
  90. Sat Mar 22 23:51:27 2025 commencing in-memory singleton removal
  91. Sat Mar 22 23:51:28 2025 begin with 47059707 relations and 37885405 unique ideals
  92. Sat Mar 22 23:51:30 2025 reduce to 46755053 relations and 34297447 ideals in 6 passes
  93. Sat Mar 22 23:51:30 2025 max relations containing the same ideal: 122
  94. Sat Mar 22 23:51:45 2025 removing 5207396 relations and 3207396 ideals in 2000000 cliques
  95. Sat Mar 22 23:51:48 2025 commencing in-memory singleton removal
  96. Sat Mar 22 23:51:49 2025 begin with 41547657 relations and 34297447 unique ideals
  97. Sat Mar 22 23:51:51 2025 reduce to 41230231 relations and 30761089 ideals in 6 passes
  98. Sat Mar 22 23:51:51 2025 max relations containing the same ideal: 109
  99. Sat Mar 22 23:52:04 2025 removing 5162200 relations and 3162200 ideals in 2000000 cliques
  100. Sat Mar 22 23:52:07 2025 commencing in-memory singleton removal
  101. Sat Mar 22 23:52:07 2025 begin with 36068031 relations and 30761089 unique ideals
  102. Sat Mar 22 23:52:09 2025 reduce to 35726301 relations and 27243508 ideals in 6 passes
  103. Sat Mar 22 23:52:09 2025 max relations containing the same ideal: 101
  104. Sat Mar 22 23:52:21 2025 removing 5129336 relations and 3129336 ideals in 2000000 cliques
  105. Sat Mar 22 23:52:23 2025 commencing in-memory singleton removal
  106. Sat Mar 22 23:52:23 2025 begin with 30596965 relations and 27243508 unique ideals
  107. Sat Mar 22 23:52:25 2025 reduce to 30217530 relations and 23717854 ideals in 7 passes
  108. Sat Mar 22 23:52:25 2025 max relations containing the same ideal: 88
  109. Sat Mar 22 23:52:35 2025 removing 5110521 relations and 3110521 ideals in 2000000 cliques
  110. Sat Mar 22 23:52:38 2025 commencing in-memory singleton removal
  111. Sat Mar 22 23:52:38 2025 begin with 25107009 relations and 23717854 unique ideals
  112. Sat Mar 22 23:52:39 2025 reduce to 24673474 relations and 20151046 ideals in 7 passes
  113. Sat Mar 22 23:52:39 2025 max relations containing the same ideal: 77
  114. Sat Mar 22 23:52:48 2025 removing 5095656 relations and 3095656 ideals in 2000000 cliques
  115. Sat Mar 22 23:52:50 2025 commencing in-memory singleton removal
  116. Sat Mar 22 23:52:50 2025 begin with 19577818 relations and 20151046 unique ideals
  117. Sat Mar 22 23:52:51 2025 reduce to 19057303 relations and 16501867 ideals in 7 passes
  118. Sat Mar 22 23:52:51 2025 max relations containing the same ideal: 67
  119. Sat Mar 22 23:52:58 2025 removing 4777706 relations and 2914760 ideals in 1862946 cliques
  120. Sat Mar 22 23:53:00 2025 commencing in-memory singleton removal
  121. Sat Mar 22 23:53:00 2025 begin with 14279597 relations and 16501867 unique ideals
  122. Sat Mar 22 23:53:01 2025 reduce to 13653114 relations and 12911841 ideals in 8 passes
  123. Sat Mar 22 23:53:01 2025 max relations containing the same ideal: 53
  124. Sat Mar 22 23:53:06 2025 removing 247409 relations and 198626 ideals in 48783 cliques
  125. Sat Mar 22 23:53:07 2025 commencing in-memory singleton removal
  126. Sat Mar 22 23:53:07 2025 begin with 13405705 relations and 12911841 unique ideals
  127. Sat Mar 22 23:53:08 2025 reduce to 13401246 relations and 12708746 ideals in 6 passes
  128. Sat Mar 22 23:53:08 2025 max relations containing the same ideal: 53
  129. Sat Mar 22 23:53:10 2025 relations with 0 large ideals: 1893
  130. Sat Mar 22 23:53:10 2025 relations with 1 large ideals: 19691
  131. Sat Mar 22 23:53:10 2025 relations with 2 large ideals: 231620
  132. Sat Mar 22 23:53:10 2025 relations with 3 large ideals: 1091359
  133. Sat Mar 22 23:53:10 2025 relations with 4 large ideals: 2646098
  134. Sat Mar 22 23:53:10 2025 relations with 5 large ideals: 3703629
  135. Sat Mar 22 23:53:10 2025 relations with 6 large ideals: 3223851
  136. Sat Mar 22 23:53:10 2025 relations with 7+ large ideals: 2483105
  137. Sat Mar 22 23:53:10 2025 commencing 2-way merge
  138. Sat Mar 22 23:53:16 2025 reduce to 9367803 relation sets and 8675303 unique ideals
  139. Sat Mar 22 23:53:16 2025 commencing full merge
  140. Sat Mar 22 23:56:39 2025 memory use: 1077.6 MB
  141. Sat Mar 22 23:56:40 2025 found 3967454 cycles, need 3959503
  142. Sat Mar 22 23:56:41 2025 weight of 3959503 cycles is about 554920610 (140.15/cycle)
  143. Sat Mar 22 23:56:41 2025 distribution of cycle lengths:
  144. Sat Mar 22 23:56:41 2025 1 relations: 51420
  145. Sat Mar 22 23:56:41 2025 2 relations: 157520
  146. Sat Mar 22 23:56:41 2025 3 relations: 219463
  147. Sat Mar 22 23:56:41 2025 4 relations: 252281
  148. Sat Mar 22 23:56:41 2025 5 relations: 279175
  149. Sat Mar 22 23:56:41 2025 6 relations: 289266
  150. Sat Mar 22 23:56:41 2025 7 relations: 291634
  151. Sat Mar 22 23:56:41 2025 8 relations: 282385
  152. Sat Mar 22 23:56:41 2025 9 relations: 267943
  153. Sat Mar 22 23:56:41 2025 10+ relations: 1868416
  154. Sat Mar 22 23:56:41 2025 heaviest cycle: 28 relations
  155. Sat Mar 22 23:56:43 2025 commencing cycle optimization
  156. Sat Mar 22 23:56:53 2025 start with 40073251 relations
  157. Sat Mar 22 23:58:37 2025 pruned 2522055 relations
  158. Sat Mar 22 23:58:37 2025 memory use: 963.0 MB
  159. Sat Mar 22 23:58:38 2025 distribution of cycle lengths:
  160. Sat Mar 22 23:58:38 2025 1 relations: 51420
  161. Sat Mar 22 23:58:38 2025 2 relations: 163024
  162. Sat Mar 22 23:58:38 2025 3 relations: 231348
  163. Sat Mar 22 23:58:38 2025 4 relations: 267298
  164. Sat Mar 22 23:58:38 2025 5 relations: 299317
  165. Sat Mar 22 23:58:38 2025 6 relations: 311124
  166. Sat Mar 22 23:58:38 2025 7 relations: 314798
  167. Sat Mar 22 23:58:38 2025 8 relations: 303477
  168. Sat Mar 22 23:58:38 2025 9 relations: 287679
  169. Sat Mar 22 23:58:38 2025 10+ relations: 1730018
  170. Sat Mar 22 23:58:38 2025 heaviest cycle: 28 relations
  171. Sat Mar 22 23:58:43 2025 RelProcTime: 1776
  172. Sat Mar 22 23:58:43 2025
  173. Sat Mar 22 23:58:43 2025 commencing linear algebra
  174. Sat Mar 22 23:58:43 2025 using VBITS=256
  175. Sat Mar 22 23:58:43 2025 read 3959503 cycles
  176. Sat Mar 22 23:58:52 2025 cycles contain 13085974 unique relations
  177. Sun Mar 23 00:01:27 2025 read 13085974 relations
  178. Sun Mar 23 00:01:29 2025 using 20 quadratic characters above 4294917295
  179. Sun Mar 23 00:01:31 2025 building initial matrix
  180. Sun Mar 23 00:04:43 2025 memory use: 1804.4 MB
  181. Sun Mar 23 00:04:45 2025 read 3959503 cycles
  182. Sun Mar 23 00:04:46 2025 matrix is 3959324 x 3959503 (2090.6 MB) with weight 633238327 (159.93/col)
  183. Sun Mar 23 00:04:46 2025 sparse part has weight 500528115 (126.41/col)
  184. Sun Mar 23 00:05:34 2025 filtering completed in 2 passes
  185. Sun Mar 23 00:05:34 2025 matrix is 3959282 x 3959459 (2090.6 MB) with weight 633236062 (159.93/col)
  186. Sun Mar 23 00:05:34 2025 sparse part has weight 500527326 (126.41/col)
  187. Sun Mar 23 00:05:47 2025 matrix starts at (0, 0)
  188. Sun Mar 23 00:05:48 2025 matrix is 3959282 x 3959459 (2090.6 MB) with weight 633236062 (159.93/col)
  189. Sun Mar 23 00:05:48 2025 sparse part has weight 500527326 (126.41/col)
  190. Sun Mar 23 00:05:48 2025 saving the first 240 matrix rows for later
  191. Sun Mar 23 00:05:49 2025 matrix includes 256 packed rows
  192. Sun Mar 23 00:05:50 2025 matrix is 3959042 x 3959459 (1865.6 MB) with weight 456638316 (115.33/col)
  193. Sun Mar 23 00:05:50 2025 sparse part has weight 425703087 (107.52/col)
  194. Sun Mar 23 00:05:50 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Sun Mar 23 00:06:00 2025 commencing Lanczos iteration (64 threads)
  196. Sun Mar 23 00:06:00 2025 memory use: 2465.7 MB
  197. Sun Mar 23 00:07:34 2025 linear algebra at 0.8%, ETA 3h14m
  198. Sun Mar 23 00:08:27 2025 checking every 30000 dimensions, checkpointing every 1950000 dimensions
  199. Sun Mar 23 01:21:03 2025 lanczos halted after 15514 iterations (dim = 3959042)
  200. Sun Mar 23 01:21:17 2025 recovered 30 nontrivial dependencies
  201. Sun Mar 23 01:21:17 2025 BLanczosTime: 4954
  202. Sun Mar 23 01:21:17 2025
  203. Sun Mar 23 01:21:17 2025 commencing square root phase
  204. Sun Mar 23 01:21:17 2025 handling dependencies 1 to 64
  205. Sun Mar 23 01:21:17 2025 reading relations for dependency 1
  206. Sun Mar 23 01:21:18 2025 read 1979631 cycles
  207. Sun Mar 23 01:21:22 2025 cycles contain 6541872 unique relations
  208. Sun Mar 23 01:23:49 2025 read 6541872 relations
  209. Sun Mar 23 01:24:20 2025 multiplying 6541872 relations
  210. Sun Mar 23 01:28:54 2025 multiply complete, coefficients have about 347.56 million bits
  211. Sun Mar 23 01:28:56 2025 initial square root is modulo 1723727
  212. Sun Mar 23 01:32:17 2025 sqrtTime: 660
  213. Sun Mar 23 01:32:17 2025 p51 factor: 812053979500418308058113888205111542185621956429791
  214. Sun Mar 23 01:32:17 2025 p108 factor: 824566534654728972024838044823221193578252301319770088993892966330557368780582336311913033950700777895296783
  215. Sun Mar 23 01:32:17 2025 elapsed time 02:03:11
  216.  
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