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C158_2232_1428 msieve.log

kyleaskine
Sep 30th, 2026
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  1. Wed Sep 30 09:09:32 2026
  2. Wed Sep 30 09:09:32 2026
  3. Wed Sep 30 09:09:32 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed Sep 30 09:09:32 2026 random seeds: 44dd2ad7 e8316d54
  5. Wed Sep 30 09:09:32 2026 factoring 15711047347877561032069415110070070792374426026927503558174066024866787526001769244384433744290567781739135111593640050867113394960767382189702886528698839693 (158 digits)
  6. Wed Sep 30 09:09:33 2026 no P-1/P+1/ECM available, skipping
  7. Wed Sep 30 09:09:33 2026 commencing number field sieve (158-digit input)
  8. Wed Sep 30 09:09:33 2026 R0: -7152182283499676578820422809316
  9. Wed Sep 30 09:09:33 2026 R1: 183919642168894063049
  10. Wed Sep 30 09:09:33 2026 A0: -1730459753422222530596763500058338325
  11. Wed Sep 30 09:09:33 2026 A1: -4978038114767127365199473654275
  12. Wed Sep 30 09:09:33 2026 A2: 1300489545282661846526355
  13. Wed Sep 30 09:09:33 2026 A3: 984903610003500979
  14. Wed Sep 30 09:09:33 2026 A4: -60258969030
  15. Wed Sep 30 09:09:33 2026 A5: 2520
  16. Wed Sep 30 09:09:33 2026 skew 3267746.44, size 4.095e-15, alpha -6.380, combined = 2.710e-12 rroots = 3
  17. Wed Sep 30 09:09:33 2026
  18. Wed Sep 30 09:09:33 2026 commencing relation filtering
  19. Wed Sep 30 09:09:33 2026 estimated available RAM is 78540.1 MB
  20. Wed Sep 30 09:09:33 2026 commencing duplicate removal, pass 1
  21. Wed Sep 30 09:13:57 2026 error -1 reading relation 42456813
  22. Wed Sep 30 09:14:01 2026 error -1 reading relation 42930913
  23. Wed Sep 30 09:15:24 2026 error -1 reading relation 57478879
  24. Wed Sep 30 09:15:45 2026 error -1 reading relation 61393828
  25. Wed Sep 30 09:16:20 2026 error -1 reading relation 67789068
  26. Wed Sep 30 09:16:52 2026 skipped 44 malformed relations
  27. Wed Sep 30 09:16:52 2026 found 9341966 hash collisions in 74190244 relations
  28. Wed Sep 30 09:17:08 2026 added 121932 free relations
  29. Wed Sep 30 09:17:08 2026 commencing duplicate removal, pass 2
  30. Wed Sep 30 09:17:37 2026 found 8193260 duplicates and 66118916 unique relations
  31. Wed Sep 30 09:17:37 2026 memory use: 394.4 MB
  32. Wed Sep 30 09:17:37 2026 reading ideals above 720000
  33. Wed Sep 30 09:17:37 2026 commencing singleton removal, initial pass
  34. Wed Sep 30 09:26:01 2026 memory use: 1506.0 MB
  35. Wed Sep 30 09:26:01 2026 reading all ideals from disk
  36. Wed Sep 30 09:26:02 2026 memory use: 2923.1 MB
  37. Wed Sep 30 09:26:07 2026 keeping 62965281 ideals with weight <= 200, target excess is 347140
  38. Wed Sep 30 09:26:13 2026 commencing in-memory singleton removal
  39. Wed Sep 30 09:26:17 2026 begin with 66118916 relations and 62965281 unique ideals
  40. Wed Sep 30 09:27:02 2026 reduce to 38278792 relations and 32061388 ideals in 15 passes
  41. Wed Sep 30 09:27:02 2026 max relations containing the same ideal: 145
  42. Wed Sep 30 09:27:21 2026 removing 4968170 relations and 3968170 ideals in 1000000 cliques
  43. Wed Sep 30 09:27:23 2026 commencing in-memory singleton removal
  44. Wed Sep 30 09:27:25 2026 begin with 33310622 relations and 32061388 unique ideals
  45. Wed Sep 30 09:27:43 2026 reduce to 32843145 relations and 27611065 ideals in 8 passes
  46. Wed Sep 30 09:27:43 2026 max relations containing the same ideal: 131
  47. Wed Sep 30 09:28:00 2026 removing 3886340 relations and 2886340 ideals in 1000000 cliques
  48. Wed Sep 30 09:28:01 2026 commencing in-memory singleton removal
  49. Wed Sep 30 09:28:03 2026 begin with 28956805 relations and 27611065 unique ideals
  50. Wed Sep 30 09:28:15 2026 reduce to 28617825 relations and 24375841 ideals in 7 passes
  51. Wed Sep 30 09:28:15 2026 max relations containing the same ideal: 118
  52. Wed Sep 30 09:28:29 2026 removing 3580940 relations and 2580940 ideals in 1000000 cliques
  53. Wed Sep 30 09:28:30 2026 commencing in-memory singleton removal
  54. Wed Sep 30 09:28:31 2026 begin with 25036885 relations and 24375841 unique ideals
  55. Wed Sep 30 09:28:43 2026 reduce to 24715664 relations and 21463521 ideals in 7 passes
  56. Wed Sep 30 09:28:43 2026 max relations containing the same ideal: 109
  57. Wed Sep 30 09:28:56 2026 removing 3435432 relations and 2435432 ideals in 1000000 cliques
  58. Wed Sep 30 09:28:57 2026 commencing in-memory singleton removal
  59. Wed Sep 30 09:28:58 2026 begin with 21280232 relations and 21463521 unique ideals
  60. Wed Sep 30 09:29:08 2026 reduce to 20951944 relations and 18687797 ideals in 7 passes
  61. Wed Sep 30 09:29:08 2026 max relations containing the same ideal: 96
  62. Wed Sep 30 09:29:19 2026 removing 3352748 relations and 2352748 ideals in 1000000 cliques
  63. Wed Sep 30 09:29:20 2026 commencing in-memory singleton removal
  64. Wed Sep 30 09:29:21 2026 begin with 17599196 relations and 18687797 unique ideals
  65. Wed Sep 30 09:29:28 2026 reduce to 17244851 relations and 15966078 ideals in 9 passes
  66. Wed Sep 30 09:29:28 2026 max relations containing the same ideal: 86
  67. Wed Sep 30 09:29:37 2026 removing 2960922 relations and 2084832 ideals in 876090 cliques
  68. Wed Sep 30 09:29:38 2026 commencing in-memory singleton removal
  69. Wed Sep 30 09:29:39 2026 begin with 14283929 relations and 15966078 unique ideals
  70. Wed Sep 30 09:29:43 2026 reduce to 13956844 relations and 13539908 ideals in 7 passes
  71. Wed Sep 30 09:29:43 2026 max relations containing the same ideal: 76
  72. Wed Sep 30 09:29:51 2026 removing 98470 relations and 84217 ideals in 14253 cliques
  73. Wed Sep 30 09:29:51 2026 commencing in-memory singleton removal
  74. Wed Sep 30 09:29:52 2026 begin with 13858374 relations and 13539908 unique ideals
  75. Wed Sep 30 09:29:54 2026 reduce to 13857982 relations and 13455299 ideals in 4 passes
  76. Wed Sep 30 09:29:54 2026 max relations containing the same ideal: 75
  77. Wed Sep 30 09:29:55 2026 relations with 0 large ideals: 1263
  78. Wed Sep 30 09:29:55 2026 relations with 1 large ideals: 4052
  79. Wed Sep 30 09:29:55 2026 relations with 2 large ideals: 61107
  80. Wed Sep 30 09:29:55 2026 relations with 3 large ideals: 408187
  81. Wed Sep 30 09:29:55 2026 relations with 4 large ideals: 1449794
  82. Wed Sep 30 09:29:55 2026 relations with 5 large ideals: 3010253
  83. Wed Sep 30 09:29:55 2026 relations with 6 large ideals: 3873568
  84. Wed Sep 30 09:29:55 2026 relations with 7+ large ideals: 5049758
  85. Wed Sep 30 09:29:55 2026 commencing 2-way merge
  86. Wed Sep 30 09:30:04 2026 reduce to 8994680 relation sets and 8591997 unique ideals
  87. Wed Sep 30 09:30:04 2026 commencing full merge
  88. Wed Sep 30 09:32:59 2026 memory use: 1107.1 MB
  89. Wed Sep 30 09:33:00 2026 found 4509452 cycles, need 4456197
  90. Wed Sep 30 09:33:02 2026 weight of 4456197 cycles is about 401203436 (90.03/cycle)
  91. Wed Sep 30 09:33:02 2026 distribution of cycle lengths:
  92. Wed Sep 30 09:33:02 2026 1 relations: 268752
  93. Wed Sep 30 09:33:02 2026 2 relations: 394668
  94. Wed Sep 30 09:33:02 2026 3 relations: 443067
  95. Wed Sep 30 09:33:02 2026 4 relations: 443784
  96. Wed Sep 30 09:33:02 2026 5 relations: 439319
  97. Wed Sep 30 09:33:02 2026 6 relations: 411228
  98. Wed Sep 30 09:33:02 2026 7 relations: 381582
  99. Wed Sep 30 09:33:02 2026 8 relations: 338589
  100. Wed Sep 30 09:33:02 2026 9 relations: 291056
  101. Wed Sep 30 09:33:02 2026 10+ relations: 1044152
  102. Wed Sep 30 09:33:02 2026 heaviest cycle: 22 relations
  103. Wed Sep 30 09:33:03 2026 commencing cycle optimization
  104. Wed Sep 30 09:33:11 2026 start with 29984395 relations
  105. Wed Sep 30 09:34:04 2026 pruned 1108095 relations
  106. Wed Sep 30 09:34:04 2026 memory use: 885.4 MB
  107. Wed Sep 30 09:34:04 2026 distribution of cycle lengths:
  108. Wed Sep 30 09:34:04 2026 1 relations: 268752
  109. Wed Sep 30 09:34:04 2026 2 relations: 405141
  110. Wed Sep 30 09:34:04 2026 3 relations: 462930
  111. Wed Sep 30 09:34:04 2026 4 relations: 461685
  112. Wed Sep 30 09:34:04 2026 5 relations: 459082
  113. Wed Sep 30 09:34:04 2026 6 relations: 427056
  114. Wed Sep 30 09:34:04 2026 7 relations: 395257
  115. Wed Sep 30 09:34:04 2026 8 relations: 346020
  116. Wed Sep 30 09:34:04 2026 9 relations: 293934
  117. Wed Sep 30 09:34:04 2026 10+ relations: 936340
  118. Wed Sep 30 09:34:04 2026 heaviest cycle: 22 relations
  119. Wed Sep 30 09:34:12 2026 RelProcTime: 1479
  120. Wed Sep 30 09:34:12 2026 elapsed time 00:24:40
  121. Wed Sep 30 11:03:36 2026
  122. Wed Sep 30 11:03:36 2026
  123. Wed Sep 30 11:03:36 2026 Msieve v. 1.54 (SVN unknown)
  124. Wed Sep 30 11:03:36 2026 random seeds: 922f30dd 72fdebca
  125. Wed Sep 30 11:03:36 2026 factoring 15711047347877561032069415110070070792374426026927503558174066024866787526001769244384433744290567781739135111593640050867113394960767382189702886528698839693 (158 digits)
  126. Wed Sep 30 11:03:37 2026 no P-1/P+1/ECM available, skipping
  127. Wed Sep 30 11:03:37 2026 commencing number field sieve (158-digit input)
  128. Wed Sep 30 11:03:37 2026 R0: -7152182283499676578820422809316
  129. Wed Sep 30 11:03:37 2026 R1: 183919642168894063049
  130. Wed Sep 30 11:03:37 2026 A0: -1730459753422222530596763500058338325
  131. Wed Sep 30 11:03:37 2026 A1: -4978038114767127365199473654275
  132. Wed Sep 30 11:03:37 2026 A2: 1300489545282661846526355
  133. Wed Sep 30 11:03:37 2026 A3: 984903610003500979
  134. Wed Sep 30 11:03:37 2026 A4: -60258969030
  135. Wed Sep 30 11:03:37 2026 A5: 2520
  136. Wed Sep 30 11:03:37 2026 skew 3267746.44, size 4.095e-15, alpha -6.380, combined = 2.710e-12 rroots = 3
  137. Wed Sep 30 11:03:37 2026
  138. Wed Sep 30 11:03:37 2026 commencing linear algebra
  139. Wed Sep 30 11:03:37 2026 using VBITS=128
  140. Wed Sep 30 11:03:38 2026 read 4456197 cycles
  141. Wed Sep 30 11:03:42 2026 cycles contain 13635283 unique relations
  142. Wed Sep 30 11:03:47 2026
  143. Wed Sep 30 11:03:47 2026
  144. Wed Sep 30 11:03:47 2026 Msieve v. 1.54 (SVN unknown)
  145. Wed Sep 30 11:03:47 2026 random seeds: 4386620b cd1cc542
  146. Wed Sep 30 11:03:47 2026 Using 14 OpenMP threads
  147. Wed Sep 30 11:03:47 2026 factoring 15711047347877561032069415110070070792374426026927503558174066024866787526001769244384433744290567781739135111593640050867113394960767382189702886528698839693 (158 digits)
  148. Wed Sep 30 11:03:47 2026 no P-1/P+1/ECM available, skipping
  149. Wed Sep 30 11:03:47 2026 commencing number field sieve (158-digit input)
  150. Wed Sep 30 11:03:47 2026 R0: -7152182283499676578820422809316
  151. Wed Sep 30 11:03:47 2026 R1: 183919642168894063049
  152. Wed Sep 30 11:03:47 2026 A0: -1730459753422222530596763500058338325
  153. Wed Sep 30 11:03:47 2026 A1: -4978038114767127365199473654275
  154. Wed Sep 30 11:03:47 2026 A2: 1300489545282661846526355
  155. Wed Sep 30 11:03:47 2026 A3: 984903610003500979
  156. Wed Sep 30 11:03:47 2026 A4: -60258969030
  157. Wed Sep 30 11:03:47 2026 A5: 2520
  158. Wed Sep 30 11:03:47 2026 skew 3267746.44, size 4.095e-15, alpha -6.380, combined = 2.710e-12 rroots = 3
  159. Wed Sep 30 11:03:47 2026
  160. Wed Sep 30 11:03:47 2026 commencing linear algebra
  161. Wed Sep 30 11:03:47 2026 using VBITS=128
  162. Wed Sep 30 11:03:47 2026 read 4456197 cycles
  163. Wed Sep 30 11:03:51 2026 cycles contain 13635283 unique relations
  164. Wed Sep 30 11:04:37 2026 read 13635283 relations
  165. Wed Sep 30 11:04:38 2026 using 20 quadratic characters above 4294917295
  166. Wed Sep 30 11:04:42 2026 building initial matrix
  167. Wed Sep 30 11:06:29 2026 memory use: 1843.6 MB
  168. Wed Sep 30 11:06:30 2026 read 4456197 cycles
  169. Wed Sep 30 11:06:30 2026 matrix is 4456020 x 4456197 (1651.9 MB) with weight 509248956 (114.28/col)
  170. Wed Sep 30 11:06:30 2026 sparse part has weight 379566758 (85.18/col)
  171. Wed Sep 30 11:06:52 2026 filtering completed in 2 passes
  172. Wed Sep 30 11:06:53 2026 matrix is 4455663 x 4455840 (1651.9 MB) with weight 509234681 (114.28/col)
  173. Wed Sep 30 11:06:53 2026 sparse part has weight 379562984 (85.18/col)
  174. Wed Sep 30 11:07:03 2026 matrix starts at (0, 0)
  175. Wed Sep 30 11:07:03 2026 matrix is 4455663 x 4455840 (1651.9 MB) with weight 509234681 (114.28/col)
  176. Wed Sep 30 11:07:03 2026 sparse part has weight 379562984 (85.18/col)
  177. Wed Sep 30 11:07:03 2026 saving the first 112 matrix rows for later
  178. Wed Sep 30 11:07:04 2026 matrix includes 128 packed rows
  179. Wed Sep 30 11:07:04 2026 matrix is 4455551 x 4455840 (1520.1 MB) with weight 373084001 (83.73/col)
  180. Wed Sep 30 11:07:04 2026 sparse part has weight 345023118 (77.43/col)
  181. Wed Sep 30 11:07:05 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  182. Wed Sep 30 11:07:05 2026 selected card has CUDA arch 12.0
  183. Wed Sep 30 11:07:05 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 77.4)
  184. Wed Sep 30 11:07:05 2026 nonzeros per matrix block: 128000000
  185. Wed Sep 30 11:07:05 2026 SpMV kernel: auto (by nonzeros per row)
  186. Wed Sep 30 11:07:05 2026 GPU memory: 11015 MB free, 476 MB for vectors, 10215 MB for sparse matrix blocks (up to 2884 MB needed)
  187. Wed Sep 30 11:07:22 2026 commencing Lanczos iteration
  188. Wed Sep 30 11:07:22 2026 memory use: 3278.2 MB
  189. Wed Sep 30 11:07:30 2026 linear algebra at 0.7%, ETA 0h19m
  190. Wed Sep 30 11:07:31 2026 checking every 250000 dimensions, checkpointing every 15500000 dimensions
  191. Wed Sep 30 11:24:23 2026 lanczos halted after 35021 iterations (dim = 4455551)
  192. Wed Sep 30 11:24:27 2026 recovered 32 nontrivial dependencies
  193. Wed Sep 30 11:24:27 2026 BLanczosTime: 1240
  194. Wed Sep 30 11:24:27 2026
  195. Wed Sep 30 11:24:27 2026 commencing square root phase
  196. Wed Sep 30 11:24:27 2026 reading relations for dependency 1
  197. Wed Sep 30 11:24:28 2026 read 2228781 cycles
  198. Wed Sep 30 11:24:29 2026 cycles contain 6821756 unique relations
  199. Wed Sep 30 11:24:35 2026 read 6821756 relations
  200. Wed Sep 30 11:24:51 2026 multiplying 6821756 relations
  201. Wed Sep 30 11:25:17 2026 multiply complete, coefficients have about 329.59 million bits
  202. Wed Sep 30 11:25:18 2026 initial square root is modulo 820129
  203. Wed Sep 30 11:26:07 2026 sqrtTime: 100
  204. Wed Sep 30 11:26:07 2026 p55 factor: 2549146212864888150655880501496959870671471008113374061
  205. Wed Sep 30 11:26:07 2026 p103 factor: 6163258611290293335962097039941759983035953616928023635814033650543808100465116433773850827302748202913
  206. Wed Sep 30 11:26:07 2026 elapsed time 00:22:20
  207.  
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