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Jun 15th, 2025
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  1. Sun Jun 15 16:53:12 2025
  2. Sun Jun 15 16:53:12 2025
  3. Sun Jun 15 16:53:12 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Jun 15 16:53:12 2025 random seeds: 077a2deb c0b5a66a
  5. Sun Jun 15 16:53:12 2025 MPI process 0 of 1
  6. Sun Jun 15 16:53:12 2025 Using 32 OpenMP threads
  7. Sun Jun 15 16:53:12 2025 factoring 2187035871734373993568589033271538555952874451921249013963175628701383141828998540784536219112370879289474881123235003122959392234892518183618158621934399862390461 (163 digits)
  8. Sun Jun 15 16:53:13 2025 searching for 15-digit factors
  9. Sun Jun 15 16:53:13 2025 commencing number field sieve (163-digit input)
  10. Sun Jun 15 16:53:13 2025 R0: -31298006299614508691167181373361
  11. Sun Jun 15 16:53:13 2025 R1: 8650631990673062774813
  12. Sun Jun 15 16:53:13 2025 A0: -521555544749194800400499860736354673600
  13. Sun Jun 15 16:53:13 2025 A1: 180476962529044480961305158693904
  14. Sun Jun 15 16:53:13 2025 A2: 155480913030523748196430021
  15. Sun Jun 15 16:53:13 2025 A3: -33971230326090201969
  16. Sun Jun 15 16:53:13 2025 A4: -4884577835606
  17. Sun Jun 15 16:53:13 2025 A5: 147000
  18. Sun Jun 15 16:53:13 2025 skew 5916202.18, size 8.685e-16, alpha -6.877, combined = 1.054e-12 rroots = 5
  19. Sun Jun 15 16:53:13 2025
  20. Sun Jun 15 16:53:13 2025 commencing relation filtering
  21. Sun Jun 15 16:53:13 2025 setting target matrix density to 120.0
  22. Sun Jun 15 16:53:13 2025 estimated available RAM is 257736.5 MB
  23. Sun Jun 15 16:53:13 2025 commencing duplicate removal, pass 1
  24. Sun Jun 15 16:53:35 2025 error -1 reading relation 15072588
  25. Sun Jun 15 16:57:33 2025 error -1 reading relation 135891491
  26. Sun Jun 15 16:57:39 2025 error -1 reading relation 138786535
  27. Sun Jun 15 16:58:00 2025 error -1 reading relation 148359794
  28. Sun Jun 15 16:58:17 2025 error -1 reading relation 153908412
  29. Sun Jun 15 16:58:22 2025 error -1 reading relation 155947497
  30. Sun Jun 15 16:58:30 2025 error -1 reading relation 159298503
  31. Sun Jun 15 16:59:13 2025 error -1 reading relation 176539227
  32. Sun Jun 15 16:59:47 2025 error -1 reading relation 191981376
  33. Sun Jun 15 17:00:15 2025 error -1 reading relation 204863540
  34. Sun Jun 15 17:00:30 2025 error -1 reading relation 212264871
  35. Sun Jun 15 17:00:43 2025 error -1 reading relation 217866496
  36. Sun Jun 15 17:00:52 2025 error -1 reading relation 221892650
  37. Sun Jun 15 17:01:25 2025 error -1 reading relation 236752379
  38. Sun Jun 15 17:02:08 2025 error -1 reading relation 255657081
  39. Sun Jun 15 17:02:09 2025 skipped 1 relations with b > 2^32
  40. Sun Jun 15 17:02:09 2025 skipped 133 malformed relations
  41. Sun Jun 15 17:02:09 2025 found 45684325 hash collisions in 256093632 relations
  42. Sun Jun 15 17:02:35 2025 added 122186 free relations
  43. Sun Jun 15 17:02:35 2025 commencing duplicate removal, pass 2
  44. Sun Jun 15 17:08:40 2025 found 42509334 duplicates and 213706484 unique relations
  45. Sun Jun 15 17:08:40 2025 memory use: 1449.5 MB
  46. Sun Jun 15 17:08:41 2025 reading ideals above 720000
  47. Sun Jun 15 17:08:41 2025 commencing singleton removal, initial pass
  48. Sun Jun 15 17:28:55 2025 memory use: 6024.0 MB
  49. Sun Jun 15 17:28:55 2025 reading all ideals from disk
  50. Sun Jun 15 17:29:00 2025 memory use: 9691.2 MB
  51. Sun Jun 15 17:29:33 2025 keeping 215416844 ideals with weight <= 200, target excess is 1044028
  52. Sun Jun 15 17:30:11 2025 commencing in-memory singleton removal
  53. Sun Jun 15 17:30:16 2025 begin with 213706484 relations and 215416844 unique ideals
  54. Sun Jun 15 17:30:35 2025 reduce to 101630678 relations and 87252489 ideals in 17 passes
  55. Sun Jun 15 17:30:35 2025 max relations containing the same ideal: 128
  56. Sun Jun 15 17:31:42 2025 removing 12811966 relations and 10811966 ideals in 2000000 cliques
  57. Sun Jun 15 17:31:48 2025 commencing in-memory singleton removal
  58. Sun Jun 15 17:31:50 2025 begin with 88818712 relations and 87252489 unique ideals
  59. Sun Jun 15 17:31:57 2025 reduce to 87530792 relations and 75119495 ideals in 10 passes
  60. Sun Jun 15 17:31:57 2025 max relations containing the same ideal: 115
  61. Sun Jun 15 17:32:49 2025 removing 9752101 relations and 7752101 ideals in 2000000 cliques
  62. Sun Jun 15 17:32:53 2025 commencing in-memory singleton removal
  63. Sun Jun 15 17:32:55 2025 begin with 77778691 relations and 75119495 unique ideals
  64. Sun Jun 15 17:33:00 2025 reduce to 76879626 relations and 66447252 ideals in 9 passes
  65. Sun Jun 15 17:33:00 2025 max relations containing the same ideal: 104
  66. Sun Jun 15 17:33:40 2025 removing 8846623 relations and 6846623 ideals in 2000000 cliques
  67. Sun Jun 15 17:33:44 2025 commencing in-memory singleton removal
  68. Sun Jun 15 17:33:46 2025 begin with 68033003 relations and 66447252 unique ideals
  69. Sun Jun 15 17:33:51 2025 reduce to 67182319 relations and 58728677 ideals in 9 passes
  70. Sun Jun 15 17:33:51 2025 max relations containing the same ideal: 95
  71. Sun Jun 15 17:34:29 2025 removing 8425195 relations and 6425195 ideals in 2000000 cliques
  72. Sun Jun 15 17:34:32 2025 commencing in-memory singleton removal
  73. Sun Jun 15 17:34:33 2025 begin with 58757124 relations and 58728677 unique ideals
  74. Sun Jun 15 17:34:38 2025 reduce to 57875826 relations and 51397838 ideals in 10 passes
  75. Sun Jun 15 17:34:38 2025 max relations containing the same ideal: 88
  76. Sun Jun 15 17:35:10 2025 removing 8219665 relations and 6219665 ideals in 2000000 cliques
  77. Sun Jun 15 17:35:14 2025 commencing in-memory singleton removal
  78. Sun Jun 15 17:35:15 2025 begin with 49656161 relations and 51397838 unique ideals
  79. Sun Jun 15 17:35:18 2025 reduce to 48677582 relations and 44168700 ideals in 10 passes
  80. Sun Jun 15 17:35:18 2025 max relations containing the same ideal: 79
  81. Sun Jun 15 17:35:47 2025 removing 8148154 relations and 6148154 ideals in 2000000 cliques
  82. Sun Jun 15 17:35:50 2025 commencing in-memory singleton removal
  83. Sun Jun 15 17:35:51 2025 begin with 40529428 relations and 44168700 unique ideals
  84. Sun Jun 15 17:35:54 2025 reduce to 39362503 relations and 36809983 ideals in 10 passes
  85. Sun Jun 15 17:35:54 2025 max relations containing the same ideal: 68
  86. Sun Jun 15 17:36:18 2025 removing 6086226 relations and 4744779 ideals in 1341447 cliques
  87. Sun Jun 15 17:36:21 2025 commencing in-memory singleton removal
  88. Sun Jun 15 17:36:21 2025 begin with 33276277 relations and 36809983 unique ideals
  89. Sun Jun 15 17:36:23 2025 reduce to 32476100 relations and 31239973 ideals in 11 passes
  90. Sun Jun 15 17:36:23 2025 max relations containing the same ideal: 59
  91. Sun Jun 15 17:36:45 2025 removing 245665 relations and 220611 ideals in 25054 cliques
  92. Sun Jun 15 17:36:46 2025 commencing in-memory singleton removal
  93. Sun Jun 15 17:36:47 2025 begin with 32230435 relations and 31239973 unique ideals
  94. Sun Jun 15 17:36:48 2025 reduce to 32229300 relations and 31018226 ideals in 7 passes
  95. Sun Jun 15 17:36:48 2025 max relations containing the same ideal: 59
  96. Sun Jun 15 17:36:53 2025 relations with 0 large ideals: 3758
  97. Sun Jun 15 17:36:53 2025 relations with 1 large ideals: 37914
  98. Sun Jun 15 17:36:53 2025 relations with 2 large ideals: 453580
  99. Sun Jun 15 17:36:53 2025 relations with 3 large ideals: 2281051
  100. Sun Jun 15 17:36:53 2025 relations with 4 large ideals: 6042924
  101. Sun Jun 15 17:36:53 2025 relations with 5 large ideals: 9195136
  102. Sun Jun 15 17:36:53 2025 relations with 6 large ideals: 8308069
  103. Sun Jun 15 17:36:53 2025 relations with 7+ large ideals: 5906868
  104. Sun Jun 15 17:36:53 2025 commencing 2-way merge
  105. Sun Jun 15 17:37:19 2025 reduce to 18734550 relation sets and 17523476 unique ideals
  106. Sun Jun 15 17:37:19 2025 commencing full merge
  107. Sun Jun 15 17:44:18 2025 memory use: 1978.7 MB
  108. Sun Jun 15 17:44:20 2025 found 7988441 cycles, need 7947676
  109. Sun Jun 15 17:44:23 2025 weight of 7947676 cycles is about 954288963 (120.07/cycle)
  110. Sun Jun 15 17:44:23 2025 distribution of cycle lengths:
  111. Sun Jun 15 17:44:23 2025 1 relations: 637489
  112. Sun Jun 15 17:44:23 2025 2 relations: 537709
  113. Sun Jun 15 17:44:23 2025 3 relations: 539030
  114. Sun Jun 15 17:44:23 2025 4 relations: 528305
  115. Sun Jun 15 17:44:23 2025 5 relations: 531879
  116. Sun Jun 15 17:44:23 2025 6 relations: 514342
  117. Sun Jun 15 17:44:23 2025 7 relations: 501206
  118. Sun Jun 15 17:44:23 2025 8 relations: 476651
  119. Sun Jun 15 17:44:23 2025 9 relations: 455843
  120. Sun Jun 15 17:44:23 2025 10+ relations: 3225222
  121. Sun Jun 15 17:44:23 2025 heaviest cycle: 28 relations
  122. Sun Jun 15 17:44:26 2025 commencing cycle optimization
  123. Sun Jun 15 17:44:48 2025 start with 70967057 relations
  124. Sun Jun 15 17:47:57 2025 pruned 2609455 relations
  125. Sun Jun 15 17:47:57 2025 memory use: 2014.2 MB
  126. Sun Jun 15 17:47:58 2025 distribution of cycle lengths:
  127. Sun Jun 15 17:47:58 2025 1 relations: 637489
  128. Sun Jun 15 17:47:58 2025 2 relations: 551180
  129. Sun Jun 15 17:47:58 2025 3 relations: 558822
  130. Sun Jun 15 17:47:58 2025 4 relations: 546439
  131. Sun Jun 15 17:47:58 2025 5 relations: 552204
  132. Sun Jun 15 17:47:58 2025 6 relations: 533454
  133. Sun Jun 15 17:47:58 2025 7 relations: 520820
  134. Sun Jun 15 17:47:58 2025 8 relations: 494185
  135. Sun Jun 15 17:47:58 2025 9 relations: 471375
  136. Sun Jun 15 17:47:58 2025 10+ relations: 3081708
  137. Sun Jun 15 17:47:58 2025 heaviest cycle: 28 relations
  138. Sun Jun 15 17:48:16 2025 RelProcTime: 3303
  139. Sun Jun 15 17:48:16 2025
  140. Sun Jun 15 17:48:16 2025 commencing linear algebra
  141. Sun Jun 15 17:48:16 2025 using VBITS=256
  142. Sun Jun 15 17:48:16 2025 stopping after matrix build
  143. Sun Jun 15 17:48:16 2025 initialized process (0,0) of 1 x 1 grid
  144. Sun Jun 15 17:48:17 2025 read 7947676 cycles
  145. Sun Jun 15 17:48:35 2025 cycles contain 31264429 unique relations
  146. Sun Jun 15 17:52:59 2025 read 31264429 relations
  147. Sun Jun 15 17:53:03 2025 using 20 quadratic characters above 4294917295
  148. Sun Jun 15 17:53:08 2025 building initial matrix
  149. Sun Jun 15 18:00:53 2025 memory use: 4123.9 MB
  150. Sun Jun 15 18:01:01 2025 read 7947676 cycles
  151. Sun Jun 15 18:01:02 2025 matrix is 7947499 x 7947676 (3730.3 MB) with weight 1130784103 (142.28/col)
  152. Sun Jun 15 18:01:02 2025 sparse part has weight 890460169 (112.04/col)
  153. Sun Jun 15 18:03:02 2025 filtering completed in 2 passes
  154. Sun Jun 15 18:03:04 2025 matrix is 7946429 x 7946605 (3730.2 MB) with weight 1130728093 (142.29/col)
  155. Sun Jun 15 18:03:04 2025 sparse part has weight 890439590 (112.05/col)
  156. Sun Jun 15 18:03:51 2025 BLanczosTime: 935
  157. Sun Jun 15 18:03:51 2025 elapsed time 01:10:39
  158. Sun Jun 15 18:26:50 2025
  159. Sun Jun 15 18:26:50 2025
  160. Sun Jun 15 18:26:50 2025 Msieve v. 1.54 (SVN Unversioned directory)
  161. Sun Jun 15 18:26:50 2025 random seeds: 27b31479 135e2ef9
  162. Sun Jun 15 18:26:50 2025 MPI process 0 of 1
  163. Sun Jun 15 18:26:50 2025 Using 64 OpenMP threads
  164. Sun Jun 15 18:26:50 2025 factoring 2187035871734373993568589033271538555952874451921249013963175628701383141828998540784536219112370879289474881123235003122959392234892518183618158621934399862390461 (163 digits)
  165. Sun Jun 15 18:26:51 2025 searching for 15-digit factors
  166. Sun Jun 15 18:26:51 2025 commencing number field sieve (163-digit input)
  167. Sun Jun 15 18:26:51 2025 R0: -31298006299614508691167181373361
  168. Sun Jun 15 18:26:51 2025 R1: 8650631990673062774813
  169. Sun Jun 15 18:26:51 2025 A0: -521555544749194800400499860736354673600
  170. Sun Jun 15 18:26:51 2025 A1: 180476962529044480961305158693904
  171. Sun Jun 15 18:26:51 2025 A2: 155480913030523748196430021
  172. Sun Jun 15 18:26:51 2025 A3: -33971230326090201969
  173. Sun Jun 15 18:26:51 2025 A4: -4884577835606
  174. Sun Jun 15 18:26:51 2025 A5: 147000
  175. Sun Jun 15 18:26:51 2025 skew 5916202.18, size 8.685e-16, alpha -6.877, combined = 1.054e-12 rroots = 5
  176. Sun Jun 15 18:26:51 2025
  177. Sun Jun 15 18:26:51 2025 commencing linear algebra
  178. Sun Jun 15 18:26:51 2025 using VBITS=256
  179. Sun Jun 15 18:26:51 2025 skipping matrix build
  180. Sun Jun 15 18:26:51 2025 initialized process (0,0) of 1 x 1 grid
  181. Sun Jun 15 18:26:55 2025 matrix starts at (0, 0)
  182. Sun Jun 15 18:26:56 2025 matrix is 7946429 x 7946605 (3730.2 MB) with weight 1130728093 (142.29/col)
  183. Sun Jun 15 18:26:56 2025 sparse part has weight 890439590 (112.05/col)
  184. Sun Jun 15 18:26:56 2025 saving the first 240 matrix rows for later
  185. Sun Jun 15 18:26:58 2025 matrix includes 256 packed rows
  186. Sun Jun 15 18:27:00 2025 matrix is 7946189 x 7946605 (3380.3 MB) with weight 809442444 (101.86/col)
  187. Sun Jun 15 18:27:00 2025 sparse part has weight 758968812 (95.51/col)
  188. Sun Jun 15 18:27:00 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  189. Sun Jun 15 18:27:17 2025 commencing Lanczos iteration (64 threads)
  190. Sun Jun 15 18:27:17 2025 memory use: 4884.2 MB
  191. Sun Jun 15 18:28:26 2025 linear algebra at 0.4%, ETA 4h48m
  192. Sun Jun 15 18:30:05 2025 checking every 20000 dimensions, checkpointing every 1680000 dimensions
  193. Sun Jun 15 23:54:03 2025 lanczos halted after 31134 iterations (dim = 7946189)
  194. Sun Jun 15 23:54:28 2025 recovered 31 nontrivial dependencies
  195. Sun Jun 15 23:54:29 2025 BLanczosTime: 19658
  196. Sun Jun 15 23:54:29 2025
  197. Sun Jun 15 23:54:29 2025 commencing square root phase
  198. Sun Jun 15 23:54:29 2025 handling dependencies 1 to 64
  199. Sun Jun 15 23:54:29 2025 reading relations for dependency 1
  200. Sun Jun 15 23:54:29 2025 read 3973281 cycles
  201. Sun Jun 15 23:54:36 2025 cycles contain 15631708 unique relations
  202. Sun Jun 15 23:58:04 2025 read 15631708 relations
  203. Sun Jun 15 23:59:01 2025 multiplying 15631708 relations
  204. Mon Jun 16 00:00:55 2025 multiply complete, coefficients have about 849.72 million bits
  205. Mon Jun 16 00:00:57 2025 initial square root is modulo 42001529
  206. Mon Jun 16 00:07:06 2025 GCD is N, no factor found
  207. Mon Jun 16 00:07:06 2025 reading relations for dependency 2
  208. Mon Jun 16 00:07:07 2025 read 3973258 cycles
  209. Mon Jun 16 00:07:16 2025 cycles contain 15629164 unique relations
  210. Mon Jun 16 00:11:06 2025 read 15629164 relations
  211. Mon Jun 16 00:12:09 2025 multiplying 15629164 relations
  212. Mon Jun 16 00:14:14 2025 multiply complete, coefficients have about 849.59 million bits
  213. Mon Jun 16 00:14:17 2025 initial square root is modulo 41887921
  214. Mon Jun 16 00:20:28 2025 sqrtTime: 1559
  215. Mon Jun 16 00:20:28 2025 p58 factor: 5402289342726803174896771580204968820976386588602895339111
  216. Mon Jun 16 00:20:28 2025 p105 factor: 404835012156247928236949830800888446422576375759942273490238538108544731430345351479029541842888964737851
  217. Mon Jun 16 00:20:28 2025 elapsed time 05:53:38
  218.  
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