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gchilders

12p7_312

May 14th, 2025
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  1. Wed May 14 15:40:40 2025
  2. Wed May 14 15:40:40 2025
  3. Wed May 14 15:40:40 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed May 14 15:40:40 2025 random seeds: ba37b97b 6c68bc52
  5. Wed May 14 15:40:40 2025 MPI process 0 of 1
  6. Wed May 14 15:40:40 2025 Using 64 OpenMP threads
  7. Wed May 14 15:40:40 2025 factoring 46554844086442850189079788690848634374223266605911030043767274008855429267981249885900010441583920942189845427929643171297752864051809457589999340286299945518661875888034738300838775937 (185 digits)
  8. Wed May 14 15:40:41 2025 no P-1/P+1/ECM available, skipping
  9. Wed May 14 15:40:41 2025 commencing number field sieve (185-digit input)
  10. Wed May 14 15:40:41 2025 R0: 59066822915424320448445358917464096768
  11. Wed May 14 15:40:41 2025 R1: -378818692265664781682717625943
  12. Wed May 14 15:40:41 2025 A0: 144
  13. Wed May 14 15:40:41 2025 A1: 0
  14. Wed May 14 15:40:41 2025 A2: 0
  15. Wed May 14 15:40:41 2025 A3: -84
  16. Wed May 14 15:40:41 2025 A4: 0
  17. Wed May 14 15:40:41 2025 A5: 0
  18. Wed May 14 15:40:41 2025 A6: 49
  19. Wed May 14 15:40:41 2025 skew 1.20, size 2.128e-11, alpha -0.442, combined = 1.119e-12 rroots = 0
  20. Wed May 14 15:40:41 2025
  21. Wed May 14 15:40:41 2025 commencing relation filtering
  22. Wed May 14 15:40:41 2025 setting target matrix density to 110.0
  23. Wed May 14 15:40:41 2025 estimated available RAM is 1031760.2 MB
  24. Wed May 14 15:40:41 2025 commencing duplicate removal, pass 1
  25. Wed May 14 15:41:38 2025 skipped 5 relations with b > 2^32
  26. Wed May 14 15:41:38 2025 skipped 78 malformed relations
  27. Wed May 14 15:41:38 2025 found 5007970 hash collisions in 107154381 relations
  28. Wed May 14 15:41:44 2025 added 145045 free relations
  29. Wed May 14 15:41:44 2025 commencing duplicate removal, pass 2
  30. Wed May 14 15:42:01 2025 found 0 duplicates and 107299426 unique relations
  31. Wed May 14 15:42:01 2025 memory use: 277.2 MB
  32. Wed May 14 15:42:01 2025 reading ideals above 720000
  33. Wed May 14 15:42:01 2025 commencing singleton removal, initial pass
  34. Wed May 14 15:44:15 2025 memory use: 2756.0 MB
  35. Wed May 14 15:44:15 2025 reading all ideals from disk
  36. Wed May 14 15:44:17 2025 memory use: 4843.6 MB
  37. Wed May 14 15:44:20 2025 keeping 91586636 ideals with weight <= 200, target excess is 553625
  38. Wed May 14 15:44:26 2025 commencing in-memory singleton removal
  39. Wed May 14 15:44:26 2025 begin with 107299426 relations and 91586636 unique ideals
  40. Wed May 14 15:44:28 2025 reduce to 75161716 relations and 56612717 ideals in 12 passes
  41. Wed May 14 15:44:28 2025 max relations containing the same ideal: 165
  42. Wed May 14 15:44:39 2025 removing 8055089 relations and 6055089 ideals in 2000000 cliques
  43. Wed May 14 15:44:42 2025 commencing in-memory singleton removal
  44. Wed May 14 15:44:42 2025 begin with 67106627 relations and 56612717 unique ideals
  45. Wed May 14 15:44:43 2025 reduce to 66426497 relations and 49855386 ideals in 7 passes
  46. Wed May 14 15:44:43 2025 max relations containing the same ideal: 154
  47. Wed May 14 15:44:53 2025 removing 6453231 relations and 4453231 ideals in 2000000 cliques
  48. Wed May 14 15:44:55 2025 commencing in-memory singleton removal
  49. Wed May 14 15:44:55 2025 begin with 59973266 relations and 49855386 unique ideals
  50. Wed May 14 15:44:56 2025 reduce to 59499234 relations and 44914156 ideals in 7 passes
  51. Wed May 14 15:44:56 2025 max relations containing the same ideal: 147
  52. Wed May 14 15:45:06 2025 removing 6007934 relations and 4007934 ideals in 2000000 cliques
  53. Wed May 14 15:45:08 2025 commencing in-memory singleton removal
  54. Wed May 14 15:45:08 2025 begin with 53491300 relations and 44914156 unique ideals
  55. Wed May 14 15:45:09 2025 reduce to 53066915 relations and 40468732 ideals in 7 passes
  56. Wed May 14 15:45:09 2025 max relations containing the same ideal: 133
  57. Wed May 14 15:45:17 2025 removing 5781009 relations and 3781009 ideals in 2000000 cliques
  58. Wed May 14 15:45:19 2025 commencing in-memory singleton removal
  59. Wed May 14 15:45:19 2025 begin with 47285906 relations and 40468732 unique ideals
  60. Wed May 14 15:45:20 2025 reduce to 46875607 relations and 36263767 ideals in 6 passes
  61. Wed May 14 15:45:20 2025 max relations containing the same ideal: 122
  62. Wed May 14 15:45:28 2025 removing 5639770 relations and 3639770 ideals in 2000000 cliques
  63. Wed May 14 15:45:29 2025 commencing in-memory singleton removal
  64. Wed May 14 15:45:30 2025 begin with 41235837 relations and 36263767 unique ideals
  65. Wed May 14 15:45:30 2025 reduce to 40819849 relations and 32192708 ideals in 6 passes
  66. Wed May 14 15:45:30 2025 max relations containing the same ideal: 111
  67. Wed May 14 15:45:37 2025 removing 5539692 relations and 3539692 ideals in 2000000 cliques
  68. Wed May 14 15:45:39 2025 commencing in-memory singleton removal
  69. Wed May 14 15:45:39 2025 begin with 35280157 relations and 32192708 unique ideals
  70. Wed May 14 15:45:39 2025 reduce to 34845620 relations and 28200389 ideals in 6 passes
  71. Wed May 14 15:45:39 2025 max relations containing the same ideal: 101
  72. Wed May 14 15:45:45 2025 removing 5464317 relations and 3464317 ideals in 2000000 cliques
  73. Wed May 14 15:45:46 2025 commencing in-memory singleton removal
  74. Wed May 14 15:45:47 2025 begin with 29381303 relations and 28200389 unique ideals
  75. Wed May 14 15:45:47 2025 reduce to 28911792 relations and 24244088 ideals in 7 passes
  76. Wed May 14 15:45:47 2025 max relations containing the same ideal: 93
  77. Wed May 14 15:45:52 2025 removing 5394938 relations and 3394938 ideals in 2000000 cliques
  78. Wed May 14 15:45:53 2025 commencing in-memory singleton removal
  79. Wed May 14 15:45:53 2025 begin with 23516854 relations and 24244088 unique ideals
  80. Wed May 14 15:45:54 2025 reduce to 22987785 relations and 20289579 ideals in 8 passes
  81. Wed May 14 15:45:54 2025 max relations containing the same ideal: 75
  82. Wed May 14 15:45:58 2025 removing 5323758 relations and 3323758 ideals in 2000000 cliques
  83. Wed May 14 15:45:59 2025 commencing in-memory singleton removal
  84. Wed May 14 15:45:59 2025 begin with 17664027 relations and 20289579 unique ideals
  85. Wed May 14 15:46:00 2025 reduce to 17006822 relations and 16261056 ideals in 8 passes
  86. Wed May 14 15:46:00 2025 max relations containing the same ideal: 63
  87. Wed May 14 15:46:03 2025 removing 470660 relations and 367100 ideals in 103560 cliques
  88. Wed May 14 15:46:03 2025 commencing in-memory singleton removal
  89. Wed May 14 15:46:03 2025 begin with 16536162 relations and 16261056 unique ideals
  90. Wed May 14 15:46:04 2025 reduce to 16524501 relations and 15882196 ideals in 6 passes
  91. Wed May 14 15:46:04 2025 max relations containing the same ideal: 62
  92. Wed May 14 15:46:05 2025 relations with 0 large ideals: 13533
  93. Wed May 14 15:46:05 2025 relations with 1 large ideals: 13797
  94. Wed May 14 15:46:05 2025 relations with 2 large ideals: 159752
  95. Wed May 14 15:46:05 2025 relations with 3 large ideals: 868504
  96. Wed May 14 15:46:05 2025 relations with 4 large ideals: 2486318
  97. Wed May 14 15:46:05 2025 relations with 5 large ideals: 4168186
  98. Wed May 14 15:46:05 2025 relations with 6 large ideals: 4316273
  99. Wed May 14 15:46:05 2025 relations with 7+ large ideals: 4498138
  100. Wed May 14 15:46:05 2025 commencing 2-way merge
  101. Wed May 14 15:46:09 2025 reduce to 11529280 relation sets and 10886975 unique ideals
  102. Wed May 14 15:46:09 2025 commencing full merge
  103. Wed May 14 15:48:10 2025 memory use: 1383.9 MB
  104. Wed May 14 15:48:11 2025 found 5335500 cycles, need 5267175
  105. Wed May 14 15:48:12 2025 weight of 5267175 cycles is about 579825385 (110.08/cycle)
  106. Wed May 14 15:48:12 2025 distribution of cycle lengths:
  107. Wed May 14 15:48:12 2025 1 relations: 147245
  108. Wed May 14 15:48:12 2025 2 relations: 307960
  109. Wed May 14 15:48:12 2025 3 relations: 402061
  110. Wed May 14 15:48:12 2025 4 relations: 440098
  111. Wed May 14 15:48:12 2025 5 relations: 465108
  112. Wed May 14 15:48:12 2025 6 relations: 459227
  113. Wed May 14 15:48:12 2025 7 relations: 447159
  114. Wed May 14 15:48:12 2025 8 relations: 412120
  115. Wed May 14 15:48:12 2025 9 relations: 373185
  116. Wed May 14 15:48:12 2025 10+ relations: 1813012
  117. Wed May 14 15:48:12 2025 heaviest cycle: 26 relations
  118. Wed May 14 15:48:13 2025 commencing cycle optimization
  119. Wed May 14 15:48:18 2025 start with 43201838 relations
  120. Wed May 14 15:49:09 2025 pruned 2157628 relations
  121. Wed May 14 15:49:09 2025 memory use: 1135.0 MB
  122. Wed May 14 15:49:09 2025 distribution of cycle lengths:
  123. Wed May 14 15:49:09 2025 1 relations: 147245
  124. Wed May 14 15:49:09 2025 2 relations: 317064
  125. Wed May 14 15:49:09 2025 3 relations: 422364
  126. Wed May 14 15:49:09 2025 4 relations: 462535
  127. Wed May 14 15:49:09 2025 5 relations: 494271
  128. Wed May 14 15:49:09 2025 6 relations: 487100
  129. Wed May 14 15:49:09 2025 7 relations: 473014
  130. Wed May 14 15:49:09 2025 8 relations: 433166
  131. Wed May 14 15:49:09 2025 9 relations: 388658
  132. Wed May 14 15:49:09 2025 10+ relations: 1641758
  133. Wed May 14 15:49:09 2025 heaviest cycle: 26 relations
  134. Wed May 14 15:49:13 2025 RelProcTime: 512
  135. Wed May 14 15:49:13 2025 elapsed time 00:08:33
  136. Wed May 14 15:49:16 2025
  137. Wed May 14 15:49:16 2025
  138. Wed May 14 15:49:16 2025 Msieve v. 1.54 (SVN unknown)
  139. Wed May 14 15:49:16 2025 random seeds: 7f6a5315 10a5a2ea
  140. Wed May 14 15:49:16 2025 MPI process 0 of 4
  141. Wed May 14 15:49:16 2025 Using 10 OpenMP threads
  142. Wed May 14 15:49:16 2025 factoring 46554844086442850189079788690848634374223266605911030043767274008855429267981249885900010441583920942189845427929643171297752864051809457589999340286299945518661875888034738300838775937 (185 digits)
  143. Wed May 14 15:49:16 2025 no P-1/P+1/ECM available, skipping
  144. Wed May 14 15:49:16 2025 commencing number field sieve (185-digit input)
  145. Wed May 14 15:49:16 2025 R0: 59066822915424320448445358917464096768
  146. Wed May 14 15:49:16 2025 R1: -378818692265664781682717625943
  147. Wed May 14 15:49:16 2025 A0: 144
  148. Wed May 14 15:49:16 2025 A1: 0
  149. Wed May 14 15:49:16 2025 A2: 0
  150. Wed May 14 15:49:16 2025 A3: -84
  151. Wed May 14 15:49:16 2025 A4: 0
  152. Wed May 14 15:49:16 2025 A5: 0
  153. Wed May 14 15:49:16 2025 A6: 49
  154. Wed May 14 15:49:16 2025 skew 1.20, size 2.128e-11, alpha -0.442, combined = 1.119e-12 rroots = 0
  155. Wed May 14 15:49:16 2025
  156. Wed May 14 15:49:16 2025 commencing linear algebra
  157. Wed May 14 15:49:16 2025 using VBITS=256
  158. Wed May 14 15:49:16 2025 initialized process (0,0) of 2 x 2 grid
  159. Wed May 14 15:49:17 2025 read 5267175 cycles
  160. Wed May 14 15:49:21 2025 cycles contain 16241128 unique relations
  161. Wed May 14 15:49:30 2025 read 16241128 relations
  162. Wed May 14 15:49:33 2025 using 20 quadratic characters above 4294917295
  163. Wed May 14 15:49:38 2025 building initial matrix
  164. Wed May 14 15:51:29 2025 memory use: 2097.2 MB
  165. Wed May 14 15:51:32 2025 read 5267175 cycles
  166. Wed May 14 15:51:32 2025 matrix is 5266998 x 5267175 (2281.7 MB) with weight 652719364 (123.92/col)
  167. Wed May 14 15:51:32 2025 sparse part has weight 540185864 (102.56/col)
  168. Wed May 14 15:52:01 2025 filtering completed in 2 passes
  169. Wed May 14 15:52:01 2025 matrix is 5266720 x 5266891 (2281.6 MB) with weight 652709223 (123.93/col)
  170. Wed May 14 15:52:01 2025 sparse part has weight 540181643 (102.56/col)
  171. Wed May 14 15:52:08 2025 matrix starts at (0, 0)
  172. Wed May 14 15:52:09 2025 matrix is 2633480 x 2633447 (677.9 MB) with weight 205006719 (77.85/col)
  173. Wed May 14 15:52:09 2025 sparse part has weight 148745544 (56.48/col)
  174. Wed May 14 15:52:09 2025 saving the first 240 matrix rows for later
  175. Wed May 14 15:52:09 2025 matrix includes 256 packed rows
  176. Wed May 14 15:52:10 2025 matrix is 2633240 x 2633447 (580.9 MB) with weight 121386768 (46.09/col)
  177. Wed May 14 15:52:10 2025 sparse part has weight 110157220 (41.83/col)
  178. Wed May 14 15:52:10 2025 using GPU 0 (NVIDIA H200)
  179. Wed May 14 15:52:10 2025 selected card has CUDA arch 9.0
  180. Wed May 14 15:52:16 2025 commencing Lanczos iteration
  181. Wed May 14 15:52:16 2025 memory use: 1342.7 MB
  182. Wed May 14 15:52:21 2025 linear algebra at 0.6%, ETA 0h11m
  183. Wed May 14 15:52:28 2025 checking every 410000 dimensions, checkpointing every 25420000 dimensions
  184. Wed May 14 16:03:26 2025 lanczos halted after 20635 iterations (dim = 5266480)
  185. Wed May 14 16:03:38 2025 recovered 43 nontrivial dependencies
  186. Wed May 14 16:03:39 2025 BLanczosTime: 863
  187. Wed May 14 16:03:39 2025 elapsed time 00:14:23
  188. Wed May 14 16:03:40 2025
  189. Wed May 14 16:03:40 2025
  190. Wed May 14 16:03:40 2025 Msieve v. 1.54 (SVN Unversioned directory)
  191. Wed May 14 16:03:40 2025 random seeds: 87950f76 67144b79
  192. Wed May 14 16:03:40 2025 MPI process 0 of 1
  193. Wed May 14 16:03:40 2025 Using 64 OpenMP threads
  194. Wed May 14 16:03:40 2025 factoring 46554844086442850189079788690848634374223266605911030043767274008855429267981249885900010441583920942189845427929643171297752864051809457589999340286299945518661875888034738300838775937 (185 digits)
  195. Wed May 14 16:03:40 2025 no P-1/P+1/ECM available, skipping
  196. Wed May 14 16:03:40 2025 commencing number field sieve (185-digit input)
  197. Wed May 14 16:03:40 2025 R0: 59066822915424320448445358917464096768
  198. Wed May 14 16:03:40 2025 R1: -378818692265664781682717625943
  199. Wed May 14 16:03:40 2025 A0: 144
  200. Wed May 14 16:03:40 2025 A1: 0
  201. Wed May 14 16:03:40 2025 A2: 0
  202. Wed May 14 16:03:40 2025 A3: -84
  203. Wed May 14 16:03:40 2025 A4: 0
  204. Wed May 14 16:03:40 2025 A5: 0
  205. Wed May 14 16:03:40 2025 A6: 49
  206. Wed May 14 16:03:40 2025 skew 1.20, size 2.128e-11, alpha -0.442, combined = 1.119e-12 rroots = 0
  207. Wed May 14 16:03:40 2025
  208. Wed May 14 16:03:40 2025 commencing square root phase
  209. Wed May 14 16:03:40 2025 reading relations for dependency 1
  210. Wed May 14 16:03:41 2025 read 2634305 cycles
  211. Wed May 14 16:03:43 2025 cycles contain 8124660 unique relations
  212. Wed May 14 16:03:49 2025 read 8124660 relations
  213. Wed May 14 16:04:07 2025 multiplying 8124660 relations
  214. Wed May 14 16:04:39 2025 multiply complete, coefficients have about 245.79 million bits
  215. Wed May 14 16:04:40 2025 initial square root is modulo 661826999
  216. Wed May 14 16:05:34 2025 sqrtTime: 114
  217. Wed May 14 16:05:34 2025 p55 factor: 1943843470791812098710125201257946445303032764115620177
  218. Wed May 14 16:05:34 2025 p131 factor: 23949893489869858070918627871899638366530819483490642371652875227198645933230494346250787259069079552318135919239032943296446200881
  219. Wed May 14 16:05:34 2025 elapsed time 00:01:54
  220.  
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