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C162_2007666_1770

May 14th, 2025
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  1. Wed May 14 15:30:35 2025
  2. Wed May 14 15:30:35 2025
  3. Wed May 14 15:30:35 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed May 14 15:30:35 2025 random seeds: b8796a78 c1c57be8
  5. Wed May 14 15:30:35 2025 MPI process 0 of 1
  6. Wed May 14 15:30:35 2025 Using 64 OpenMP threads
  7. Wed May 14 15:30:35 2025 factoring 224710163148020097025383681567975887927897157746509851984601689727038475818720716686452977565652824004320399718119433123001756670803020135670464223127211397936087 (162 digits)
  8. Wed May 14 15:30:35 2025 no P-1/P+1/ECM available, skipping
  9. Wed May 14 15:30:35 2025 commencing number field sieve (162-digit input)
  10. Wed May 14 15:30:35 2025 R0: -18617084653610896286917470341117
  11. Wed May 14 15:30:35 2025 R1: 176357281397103548656997
  12. Wed May 14 15:30:35 2025 A0: -8792701824195189176052263711704915656
  13. Wed May 14 15:30:35 2025 A1: -149193341380569346411645902967370
  14. Wed May 14 15:30:35 2025 A2: 4151922980349925784818251
  15. Wed May 14 15:30:35 2025 A3: 34689420307928745884
  16. Wed May 14 15:30:35 2025 A4: -431315664036
  17. Wed May 14 15:30:35 2025 A5: 302400
  18. Wed May 14 15:30:35 2025 skew 3385160.33, size 1.113e-15, alpha -7.321, combined = 1.235e-12 rroots = 3
  19. Wed May 14 15:30:35 2025
  20. Wed May 14 15:30:35 2025 commencing relation filtering
  21. Wed May 14 15:30:35 2025 setting target matrix density to 110.0
  22. Wed May 14 15:30:35 2025 estimated available RAM is 1031760.2 MB
  23. Wed May 14 15:30:35 2025 commencing duplicate removal, pass 1
  24. Wed May 14 15:30:42 2025 error -1 reading relation 21220079
  25. Wed May 14 15:31:20 2025 skipped 113 malformed relations
  26. Wed May 14 15:31:20 2025 found 3686810 hash collisions in 128337582 relations
  27. Wed May 14 15:31:37 2025 added 122046 free relations
  28. Wed May 14 15:31:37 2025 commencing duplicate removal, pass 2
  29. Wed May 14 15:31:55 2025 found 0 duplicates and 128459628 unique relations
  30. Wed May 14 15:31:55 2025 memory use: 405.2 MB
  31. Wed May 14 15:31:55 2025 reading ideals above 720000
  32. Wed May 14 15:31:55 2025 commencing singleton removal, initial pass
  33. Wed May 14 15:34:09 2025 memory use: 3012.0 MB
  34. Wed May 14 15:34:09 2025 reading all ideals from disk
  35. Wed May 14 15:34:10 2025 memory use: 5806.1 MB
  36. Wed May 14 15:34:15 2025 keeping 127167131 ideals with weight <= 200, target excess is 622256
  37. Wed May 14 15:34:21 2025 commencing in-memory singleton removal
  38. Wed May 14 15:34:21 2025 begin with 128459628 relations and 127167131 unique ideals
  39. Wed May 14 15:34:24 2025 reduce to 71062179 relations and 62753270 ideals in 18 passes
  40. Wed May 14 15:34:24 2025 max relations containing the same ideal: 145
  41. Wed May 14 15:34:36 2025 removing 7245461 relations and 6245461 ideals in 1000000 cliques
  42. Wed May 14 15:34:38 2025 commencing in-memory singleton removal
  43. Wed May 14 15:34:38 2025 begin with 63816718 relations and 62753270 unique ideals
  44. Wed May 14 15:34:39 2025 reduce to 63177355 relations and 55856028 ideals in 10 passes
  45. Wed May 14 15:34:39 2025 max relations containing the same ideal: 133
  46. Wed May 14 15:34:49 2025 removing 5481072 relations and 4481072 ideals in 1000000 cliques
  47. Wed May 14 15:34:51 2025 commencing in-memory singleton removal
  48. Wed May 14 15:34:51 2025 begin with 57696283 relations and 55856028 unique ideals
  49. Wed May 14 15:34:52 2025 reduce to 57278452 relations and 50950014 ideals in 9 passes
  50. Wed May 14 15:34:52 2025 max relations containing the same ideal: 126
  51. Wed May 14 15:35:01 2025 removing 4949265 relations and 3949265 ideals in 1000000 cliques
  52. Wed May 14 15:35:03 2025 commencing in-memory singleton removal
  53. Wed May 14 15:35:03 2025 begin with 52329187 relations and 50950014 unique ideals
  54. Wed May 14 15:35:04 2025 reduce to 51948996 relations and 46613972 ideals in 8 passes
  55. Wed May 14 15:35:04 2025 max relations containing the same ideal: 113
  56. Wed May 14 15:35:12 2025 removing 4694271 relations and 3694271 ideals in 1000000 cliques
  57. Wed May 14 15:35:14 2025 commencing in-memory singleton removal
  58. Wed May 14 15:35:14 2025 begin with 47254725 relations and 46613972 unique ideals
  59. Wed May 14 15:35:15 2025 reduce to 46877653 relations and 42535672 ideals in 9 passes
  60. Wed May 14 15:35:15 2025 max relations containing the same ideal: 105
  61. Wed May 14 15:35:23 2025 removing 4552107 relations and 3552107 ideals in 1000000 cliques
  62. Wed May 14 15:35:24 2025 commencing in-memory singleton removal
  63. Wed May 14 15:35:24 2025 begin with 42325546 relations and 42535672 unique ideals
  64. Wed May 14 15:35:25 2025 reduce to 41932518 relations and 38582869 ideals in 8 passes
  65. Wed May 14 15:35:25 2025 max relations containing the same ideal: 97
  66. Wed May 14 15:35:32 2025 removing 4484863 relations and 3484863 ideals in 1000000 cliques
  67. Wed May 14 15:35:33 2025 commencing in-memory singleton removal
  68. Wed May 14 15:35:33 2025 begin with 37447655 relations and 38582869 unique ideals
  69. Wed May 14 15:35:34 2025 reduce to 37016728 relations and 34658000 ideals in 9 passes
  70. Wed May 14 15:35:34 2025 max relations containing the same ideal: 88
  71. Wed May 14 15:35:40 2025 removing 4472420 relations and 3472420 ideals in 1000000 cliques
  72. Wed May 14 15:35:42 2025 commencing in-memory singleton removal
  73. Wed May 14 15:35:42 2025 begin with 32544308 relations and 34658000 unique ideals
  74. Wed May 14 15:35:42 2025 reduce to 32055824 relations and 30685314 ideals in 8 passes
  75. Wed May 14 15:35:42 2025 max relations containing the same ideal: 81
  76. Wed May 14 15:35:48 2025 removing 3235709 relations and 2587016 ideals in 648693 cliques
  77. Wed May 14 15:35:49 2025 commencing in-memory singleton removal
  78. Wed May 14 15:35:49 2025 begin with 28820115 relations and 30685314 unique ideals
  79. Wed May 14 15:35:49 2025 reduce to 28535702 relations and 27808648 ideals in 10 passes
  80. Wed May 14 15:35:49 2025 max relations containing the same ideal: 77
  81. Wed May 14 15:35:58 2025 relations with 0 large ideals: 2242
  82. Wed May 14 15:35:58 2025 relations with 1 large ideals: 11082
  83. Wed May 14 15:35:58 2025 relations with 2 large ideals: 162698
  84. Wed May 14 15:35:58 2025 relations with 3 large ideals: 1017257
  85. Wed May 14 15:35:58 2025 relations with 4 large ideals: 3420794
  86. Wed May 14 15:35:58 2025 relations with 5 large ideals: 6751197
  87. Wed May 14 15:35:58 2025 relations with 6 large ideals: 8125528
  88. Wed May 14 15:35:58 2025 relations with 7+ large ideals: 9044904
  89. Wed May 14 15:35:58 2025 commencing 2-way merge
  90. Wed May 14 15:36:06 2025 reduce to 17159801 relation sets and 16432747 unique ideals
  91. Wed May 14 15:36:06 2025 commencing full merge
  92. Wed May 14 15:38:56 2025 memory use: 1922.6 MB
  93. Wed May 14 15:38:57 2025 found 7535612 cycles, need 7498947
  94. Wed May 14 15:38:59 2025 weight of 7498947 cycles is about 825250814 (110.05/cycle)
  95. Wed May 14 15:38:59 2025 distribution of cycle lengths:
  96. Wed May 14 15:38:59 2025 1 relations: 692051
  97. Wed May 14 15:38:59 2025 2 relations: 582817
  98. Wed May 14 15:38:59 2025 3 relations: 579002
  99. Wed May 14 15:38:59 2025 4 relations: 547967
  100. Wed May 14 15:38:59 2025 5 relations: 531254
  101. Wed May 14 15:38:59 2025 6 relations: 512015
  102. Wed May 14 15:38:59 2025 7 relations: 479668
  103. Wed May 14 15:38:59 2025 8 relations: 457452
  104. Wed May 14 15:38:59 2025 9 relations: 422427
  105. Wed May 14 15:38:59 2025 10+ relations: 2694294
  106. Wed May 14 15:38:59 2025 heaviest cycle: 28 relations
  107. Wed May 14 15:39:00 2025 commencing cycle optimization
  108. Wed May 14 15:39:07 2025 start with 61523854 relations
  109. Wed May 14 15:40:13 2025 pruned 2164719 relations
  110. Wed May 14 15:40:13 2025 memory use: 1779.7 MB
  111. Wed May 14 15:40:13 2025 distribution of cycle lengths:
  112. Wed May 14 15:40:13 2025 1 relations: 692051
  113. Wed May 14 15:40:13 2025 2 relations: 597886
  114. Wed May 14 15:40:13 2025 3 relations: 600790
  115. Wed May 14 15:40:13 2025 4 relations: 565971
  116. Wed May 14 15:40:13 2025 5 relations: 551530
  117. Wed May 14 15:40:13 2025 6 relations: 528314
  118. Wed May 14 15:40:13 2025 7 relations: 496366
  119. Wed May 14 15:40:13 2025 8 relations: 469819
  120. Wed May 14 15:40:13 2025 9 relations: 433823
  121. Wed May 14 15:40:13 2025 10+ relations: 2562397
  122. Wed May 14 15:40:13 2025 heaviest cycle: 28 relations
  123. Wed May 14 15:40:20 2025 RelProcTime: 585
  124. Wed May 14 15:40:20 2025 elapsed time 00:09:45
  125. Wed May 14 15:40:24 2025
  126. Wed May 14 15:40:24 2025
  127. Wed May 14 15:40:24 2025 Msieve v. 1.54 (SVN unknown)
  128. Wed May 14 15:40:24 2025 random seeds: 420c301b bf2b7b0c
  129. Wed May 14 15:40:24 2025 MPI process 0 of 4
  130. Wed May 14 15:40:24 2025 Using 10 OpenMP threads
  131. Wed May 14 15:40:24 2025 factoring 224710163148020097025383681567975887927897157746509851984601689727038475818720716686452977565652824004320399718119433123001756670803020135670464223127211397936087 (162 digits)
  132. Wed May 14 15:40:24 2025 no P-1/P+1/ECM available, skipping
  133. Wed May 14 15:40:24 2025 commencing number field sieve (162-digit input)
  134. Wed May 14 15:40:24 2025 R0: -18617084653610896286917470341117
  135. Wed May 14 15:40:24 2025 R1: 176357281397103548656997
  136. Wed May 14 15:40:24 2025 A0: -8792701824195189176052263711704915656
  137. Wed May 14 15:40:24 2025 A1: -149193341380569346411645902967370
  138. Wed May 14 15:40:24 2025 A2: 4151922980349925784818251
  139. Wed May 14 15:40:24 2025 A3: 34689420307928745884
  140. Wed May 14 15:40:24 2025 A4: -431315664036
  141. Wed May 14 15:40:24 2025 A5: 302400
  142. Wed May 14 15:40:24 2025 skew 3385160.33, size 1.113e-15, alpha -7.321, combined = 1.235e-12 rroots = 3
  143. Wed May 14 15:40:24 2025
  144. Wed May 14 15:40:24 2025 commencing linear algebra
  145. Wed May 14 15:40:24 2025 using VBITS=256
  146. Wed May 14 15:40:24 2025 initialized process (0,0) of 2 x 2 grid
  147. Wed May 14 15:40:25 2025 read 7498947 cycles
  148. Wed May 14 15:40:33 2025 cycles contain 27917099 unique relations
  149. Wed May 14 15:40:48 2025 read 27917099 relations
  150. Wed May 14 15:40:51 2025 using 20 quadratic characters above 4294917295
  151. Wed May 14 15:41:01 2025 building initial matrix
  152. Wed May 14 15:44:18 2025 memory use: 3763.5 MB
  153. Wed May 14 15:44:22 2025 read 7498947 cycles
  154. Wed May 14 15:44:23 2025 matrix is 7498769 x 7498947 (3294.7 MB) with weight 1009265849 (134.59/col)
  155. Wed May 14 15:44:23 2025 sparse part has weight 773702138 (103.17/col)
  156. Wed May 14 15:45:17 2025 filtering completed in 2 passes
  157. Wed May 14 15:45:18 2025 matrix is 7497588 x 7497765 (3294.6 MB) with weight 1009207909 (134.60/col)
  158. Wed May 14 15:45:18 2025 sparse part has weight 773684895 (103.19/col)
  159. Wed May 14 15:45:29 2025 matrix starts at (0, 0)
  160. Wed May 14 15:45:29 2025 matrix is 3748914 x 3748867 (975.8 MB) with weight 328576309 (87.65/col)
  161. Wed May 14 15:45:29 2025 sparse part has weight 210814751 (56.23/col)
  162. Wed May 14 15:45:29 2025 saving the first 240 matrix rows for later
  163. Wed May 14 15:45:30 2025 matrix includes 256 packed rows
  164. Wed May 14 15:45:31 2025 matrix is 3748674 x 3748867 (836.0 MB) with weight 176100066 (46.97/col)
  165. Wed May 14 15:45:31 2025 sparse part has weight 159176382 (42.46/col)
  166. Wed May 14 15:45:31 2025 using GPU 0 (NVIDIA H200)
  167. Wed May 14 15:45:31 2025 selected card has CUDA arch 9.0
  168. Wed May 14 15:45:40 2025 commencing Lanczos iteration
  169. Wed May 14 15:45:40 2025 memory use: 1929.5 MB
  170. Wed May 14 15:45:43 2025 linear algebra at 0.4%, ETA 0h 8m
  171. Wed May 14 15:45:47 2025 checking every 770000 dimensions, checkpointing every 46970000 dimensions
  172. Wed May 14 15:59:31 2025 lanczos halted after 29375 iterations (dim = 7497348)
  173. Wed May 14 15:59:50 2025 recovered 30 nontrivial dependencies
  174. Wed May 14 15:59:50 2025 BLanczosTime: 1166
  175. Wed May 14 15:59:50 2025 elapsed time 00:19:26
  176. Wed May 14 15:59:52 2025
  177. Wed May 14 15:59:52 2025
  178. Wed May 14 15:59:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  179. Wed May 14 15:59:52 2025 random seeds: 8218023f 946c22e1
  180. Wed May 14 15:59:52 2025 MPI process 0 of 1
  181. Wed May 14 15:59:52 2025 Using 64 OpenMP threads
  182. Wed May 14 15:59:52 2025 factoring 224710163148020097025383681567975887927897157746509851984601689727038475818720716686452977565652824004320399718119433123001756670803020135670464223127211397936087 (162 digits)
  183. Wed May 14 15:59:52 2025 no P-1/P+1/ECM available, skipping
  184. Wed May 14 15:59:52 2025 commencing number field sieve (162-digit input)
  185. Wed May 14 15:59:52 2025 R0: -18617084653610896286917470341117
  186. Wed May 14 15:59:52 2025 R1: 176357281397103548656997
  187. Wed May 14 15:59:52 2025 A0: -8792701824195189176052263711704915656
  188. Wed May 14 15:59:52 2025 A1: -149193341380569346411645902967370
  189. Wed May 14 15:59:52 2025 A2: 4151922980349925784818251
  190. Wed May 14 15:59:52 2025 A3: 34689420307928745884
  191. Wed May 14 15:59:52 2025 A4: -431315664036
  192. Wed May 14 15:59:52 2025 A5: 302400
  193. Wed May 14 15:59:52 2025 skew 3385160.33, size 1.113e-15, alpha -7.321, combined = 1.235e-12 rroots = 3
  194. Wed May 14 15:59:52 2025
  195. Wed May 14 15:59:52 2025 commencing square root phase
  196. Wed May 14 15:59:52 2025 reading relations for dependency 1
  197. Wed May 14 15:59:53 2025 read 3750367 cycles
  198. Wed May 14 15:59:57 2025 cycles contain 13961772 unique relations
  199. Wed May 14 16:00:06 2025 read 13961772 relations
  200. Wed May 14 16:00:39 2025 multiplying 13961772 relations
  201. Wed May 14 16:01:46 2025 multiply complete, coefficients have about 761.78 million bits
  202. Wed May 14 16:01:47 2025 initial square root is modulo 6829213
  203. Wed May 14 16:04:48 2025 GCD is N, no factor found
  204. Wed May 14 16:04:48 2025 reading relations for dependency 2
  205. Wed May 14 16:04:49 2025 read 3751098 cycles
  206. Wed May 14 16:04:53 2025 cycles contain 13959424 unique relations
  207. Wed May 14 16:05:02 2025 read 13959424 relations
  208. Wed May 14 16:05:36 2025 multiplying 13959424 relations
  209. Wed May 14 16:06:28 2025 multiply complete, coefficients have about 761.66 million bits
  210. Wed May 14 16:06:29 2025 initial square root is modulo 6811751
  211. Wed May 14 16:09:06 2025 sqrtTime: 554
  212. Wed May 14 16:09:06 2025 p68 factor: 89337362011756066971025390977307247905252010119950573516116133483901
  213. Wed May 14 16:09:06 2025 p94 factor: 2515298841244607999456817485140430060571063497334558680609710815824880461713140423957912706787
  214. Wed May 14 16:09:06 2025 elapsed time 00:09:14
  215.  
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