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Oct 20th, 2024
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  1. Sat Oct 19 09:08:53 2024
  2. Sat Oct 19 09:08:53 2024
  3. Sat Oct 19 09:08:53 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Oct 19 09:08:53 2024 random seeds: 09653890 dcde4f66
  5. Sat Oct 19 09:08:53 2024 factoring 7901253298874346135923165339953840930081890805837860698509888996454736432868969369405860955379917504232273434996014248595382665889457190552422483584934572448049191129436697798329616332971 (187 digits)
  6. Sat Oct 19 09:08:54 2024 searching for 15-digit factors
  7. Sat Oct 19 09:08:55 2024 commencing number field sieve (187-digit input)
  8. Sat Oct 19 09:08:55 2024 R0: 1171664537741547476677901104933570901
  9. Sat Oct 19 09:08:55 2024 R1: -1
  10. Sat Oct 19 09:08:55 2024 A0: -1
  11. Sat Oct 19 09:08:55 2024 A1: 0
  12. Sat Oct 19 09:08:55 2024 A2: 0
  13. Sat Oct 19 09:08:55 2024 A3: 0
  14. Sat Oct 19 09:08:55 2024 A4: 0
  15. Sat Oct 19 09:08:55 2024 A5: 0
  16. Sat Oct 19 09:08:55 2024 A6: 1901
  17. Sat Oct 19 09:08:55 2024 skew 0.28, size 5.174e-11, alpha 0.622, combined = 2.100e-12 rroots = 2
  18. Sat Oct 19 09:08:55 2024
  19. Sat Oct 19 09:08:55 2024 commencing relation filtering
  20. Sat Oct 19 09:08:55 2024 setting target matrix density to 120.0
  21. Sat Oct 19 09:08:55 2024 estimated available RAM is 15954.6 MB
  22. Sat Oct 19 09:08:55 2024 commencing duplicate removal, pass 1
  23. Sat Oct 19 09:32:22 2024 skipped 60 relations with b > 2^32
  24. Sat Oct 19 09:32:22 2024 found 6050312 hash collisions in 118157172 relations
  25. Sat Oct 19 09:32:43 2024 commencing duplicate removal, pass 2
  26. Sat Oct 19 09:33:45 2024 found 0 duplicates and 118157172 unique relations
  27. Sat Oct 19 09:33:45 2024 memory use: 378.4 MB
  28. Sat Oct 19 09:33:45 2024 reading ideals above 64028672
  29. Sat Oct 19 09:33:45 2024 commencing singleton removal, initial pass
  30. Sat Oct 19 09:53:22 2024 memory use: 2756.0 MB
  31. Sat Oct 19 09:53:23 2024 reading all ideals from disk
  32. Sat Oct 19 09:53:25 2024 memory use: 2038.8 MB
  33. Sat Oct 19 09:53:33 2024 commencing in-memory singleton removal
  34. Sat Oct 19 09:53:40 2024 begin with 118157172 relations and 86221269 unique ideals
  35. Sat Oct 19 09:55:01 2024 reduce to 88644061 relations and 54477575 ideals in 12 passes
  36. Sat Oct 19 09:55:01 2024 max relations containing the same ideal: 37
  37. Sat Oct 19 09:55:09 2024 reading ideals above 720000
  38. Sat Oct 19 09:55:09 2024 commencing singleton removal, initial pass
  39. Sat Oct 19 10:13:55 2024 memory use: 1506.0 MB
  40. Sat Oct 19 10:13:56 2024 reading all ideals from disk
  41. Sat Oct 19 10:14:01 2024 memory use: 3270.6 MB
  42. Sat Oct 19 10:14:15 2024 keeping 61591312 ideals with weight <= 200, target excess is 455253
  43. Sat Oct 19 10:14:31 2024 commencing in-memory singleton removal
  44. Sat Oct 19 10:14:42 2024 begin with 88644061 relations and 61591312 unique ideals
  45. Sat Oct 19 10:15:22 2024 reduce to 88644050 relations and 61591301 ideals in 3 passes
  46. Sat Oct 19 10:15:22 2024 max relations containing the same ideal: 200
  47. Sat Oct 19 10:16:22 2024 removing 7333196 relations and 5333196 ideals in 2000000 cliques
  48. Sat Oct 19 10:16:26 2024 commencing in-memory singleton removal
  49. Sat Oct 19 10:16:38 2024 begin with 81310854 relations and 61591301 unique ideals
  50. Sat Oct 19 10:18:02 2024 reduce to 80814065 relations and 55747323 ideals in 7 passes
  51. Sat Oct 19 10:18:02 2024 max relations containing the same ideal: 197
  52. Sat Oct 19 10:18:56 2024 removing 5954082 relations and 3954082 ideals in 2000000 cliques
  53. Sat Oct 19 10:19:00 2024 commencing in-memory singleton removal
  54. Sat Oct 19 10:19:09 2024 begin with 74859983 relations and 55747323 unique ideals
  55. Sat Oct 19 10:20:26 2024 reduce to 74526081 relations and 51450917 ideals in 7 passes
  56. Sat Oct 19 10:20:26 2024 max relations containing the same ideal: 188
  57. Sat Oct 19 10:21:17 2024 removing 5568488 relations and 3568488 ideals in 2000000 cliques
  58. Sat Oct 19 10:21:21 2024 commencing in-memory singleton removal
  59. Sat Oct 19 10:21:29 2024 begin with 68957593 relations and 51450917 unique ideals
  60. Sat Oct 19 10:22:29 2024 reduce to 68668134 relations and 47585523 ideals in 6 passes
  61. Sat Oct 19 10:22:29 2024 max relations containing the same ideal: 180
  62. Sat Oct 19 10:23:15 2024 removing 5365312 relations and 3365312 ideals in 2000000 cliques
  63. Sat Oct 19 10:23:19 2024 commencing in-memory singleton removal
  64. Sat Oct 19 10:23:27 2024 begin with 63302822 relations and 47585523 unique ideals
  65. Sat Oct 19 10:24:18 2024 reduce to 63034893 relations and 43945150 ideals in 6 passes
  66. Sat Oct 19 10:24:18 2024 max relations containing the same ideal: 171
  67. Sat Oct 19 10:24:58 2024 removing 5235082 relations and 3235082 ideals in 2000000 cliques
  68. Sat Oct 19 10:25:02 2024 commencing in-memory singleton removal
  69. Sat Oct 19 10:25:09 2024 begin with 57799811 relations and 43945150 unique ideals
  70. Sat Oct 19 10:25:56 2024 reduce to 57540016 relations and 40442979 ideals in 6 passes
  71. Sat Oct 19 10:25:56 2024 max relations containing the same ideal: 161
  72. Sat Oct 19 10:26:32 2024 removing 5144502 relations and 3144502 ideals in 2000000 cliques
  73. Sat Oct 19 10:26:35 2024 commencing in-memory singleton removal
  74. Sat Oct 19 10:26:41 2024 begin with 52395514 relations and 40442979 unique ideals
  75. Sat Oct 19 10:27:29 2024 reduce to 52134049 relations and 37029135 ideals in 7 passes
  76. Sat Oct 19 10:27:29 2024 max relations containing the same ideal: 153
  77. Sat Oct 19 10:28:01 2024 removing 5075964 relations and 3075964 ideals in 2000000 cliques
  78. Sat Oct 19 10:28:04 2024 commencing in-memory singleton removal
  79. Sat Oct 19 10:28:09 2024 begin with 47058085 relations and 37029135 unique ideals
  80. Sat Oct 19 10:28:45 2024 reduce to 46789719 relations and 33676152 ideals in 6 passes
  81. Sat Oct 19 10:28:45 2024 max relations containing the same ideal: 144
  82. Sat Oct 19 10:29:14 2024 removing 5024986 relations and 3024986 ideals in 2000000 cliques
  83. Sat Oct 19 10:29:17 2024 commencing in-memory singleton removal
  84. Sat Oct 19 10:29:22 2024 begin with 41764733 relations and 33676152 unique ideals
  85. Sat Oct 19 10:29:58 2024 reduce to 41482817 relations and 30359253 ideals in 7 passes
  86. Sat Oct 19 10:29:58 2024 max relations containing the same ideal: 131
  87. Sat Oct 19 10:30:23 2024 removing 4989527 relations and 2989527 ideals in 2000000 cliques
  88. Sat Oct 19 10:30:26 2024 commencing in-memory singleton removal
  89. Sat Oct 19 10:30:30 2024 begin with 36493290 relations and 30359253 unique ideals
  90. Sat Oct 19 10:30:58 2024 reduce to 36189997 relations and 27054643 ideals in 6 passes
  91. Sat Oct 19 10:30:58 2024 max relations containing the same ideal: 119
  92. Sat Oct 19 10:31:20 2024 removing 4963584 relations and 2963584 ideals in 2000000 cliques
  93. Sat Oct 19 10:31:22 2024 commencing in-memory singleton removal
  94. Sat Oct 19 10:31:25 2024 begin with 31226413 relations and 27054643 unique ideals
  95. Sat Oct 19 10:31:49 2024 reduce to 30890949 relations and 23740894 ideals in 6 passes
  96. Sat Oct 19 10:31:49 2024 max relations containing the same ideal: 105
  97. Sat Oct 19 10:32:08 2024 removing 4943940 relations and 2943940 ideals in 2000000 cliques
  98. Sat Oct 19 10:32:10 2024 commencing in-memory singleton removal
  99. Sat Oct 19 10:32:13 2024 begin with 25947009 relations and 23740894 unique ideals
  100. Sat Oct 19 10:32:34 2024 reduce to 25566955 relations and 20397746 ideals in 7 passes
  101. Sat Oct 19 10:32:34 2024 max relations containing the same ideal: 92
  102. Sat Oct 19 10:32:51 2024 removing 4928878 relations and 2928878 ideals in 2000000 cliques
  103. Sat Oct 19 10:32:53 2024 commencing in-memory singleton removal
  104. Sat Oct 19 10:32:55 2024 begin with 20638077 relations and 20397746 unique ideals
  105. Sat Oct 19 10:33:12 2024 reduce to 20192831 relations and 16996776 ideals in 7 passes
  106. Sat Oct 19 10:33:12 2024 max relations containing the same ideal: 79
  107. Sat Oct 19 10:33:25 2024 removing 4908633 relations and 2908633 ideals in 2000000 cliques
  108. Sat Oct 19 10:33:28 2024 commencing in-memory singleton removal
  109. Sat Oct 19 10:33:29 2024 begin with 15284198 relations and 16996776 unique ideals
  110. Sat Oct 19 10:33:42 2024 reduce to 14724073 relations and 13485415 ideals in 7 passes
  111. Sat Oct 19 10:33:42 2024 max relations containing the same ideal: 63
  112. Sat Oct 19 10:33:51 2024 removing 2012122 relations and 1301558 ideals in 710564 cliques
  113. Sat Oct 19 10:33:53 2024 commencing in-memory singleton removal
  114. Sat Oct 19 10:33:54 2024 begin with 12711951 relations and 13485415 unique ideals
  115. Sat Oct 19 10:34:05 2024 reduce to 12462060 relations and 11922041 ideals in 7 passes
  116. Sat Oct 19 10:34:05 2024 max relations containing the same ideal: 58
  117. Sat Oct 19 10:34:13 2024 removing 63989 relations and 52064 ideals in 11925 cliques
  118. Sat Oct 19 10:34:13 2024 commencing in-memory singleton removal
  119. Sat Oct 19 10:34:15 2024 begin with 12398071 relations and 11922041 unique ideals
  120. Sat Oct 19 10:34:20 2024 reduce to 12397737 relations and 11869642 ideals in 4 passes
  121. Sat Oct 19 10:34:20 2024 max relations containing the same ideal: 57
  122. Sat Oct 19 10:34:24 2024 relations with 0 large ideals: 16687
  123. Sat Oct 19 10:34:24 2024 relations with 1 large ideals: 11819
  124. Sat Oct 19 10:34:24 2024 relations with 2 large ideals: 126989
  125. Sat Oct 19 10:34:24 2024 relations with 3 large ideals: 686143
  126. Sat Oct 19 10:34:24 2024 relations with 4 large ideals: 1929385
  127. Sat Oct 19 10:34:24 2024 relations with 5 large ideals: 3161162
  128. Sat Oct 19 10:34:24 2024 relations with 6 large ideals: 3187067
  129. Sat Oct 19 10:34:24 2024 relations with 7+ large ideals: 3278485
  130. Sat Oct 19 10:34:24 2024 commencing 2-way merge
  131. Sat Oct 19 10:34:33 2024 reduce to 8778994 relation sets and 8250899 unique ideals
  132. Sat Oct 19 10:34:33 2024 commencing full merge
  133. Sat Oct 19 10:38:37 2024 memory use: 1075.2 MB
  134. Sat Oct 19 10:38:38 2024 found 3903827 cycles, need 3877099
  135. Sat Oct 19 10:38:41 2024 weight of 3877099 cycles is about 465616173 (120.09/cycle)
  136. Sat Oct 19 10:38:41 2024 distribution of cycle lengths:
  137. Sat Oct 19 10:38:41 2024 1 relations: 83173
  138. Sat Oct 19 10:38:41 2024 2 relations: 175428
  139. Sat Oct 19 10:38:41 2024 3 relations: 240255
  140. Sat Oct 19 10:38:41 2024 4 relations: 274056
  141. Sat Oct 19 10:38:41 2024 5 relations: 299551
  142. Sat Oct 19 10:38:41 2024 6 relations: 306875
  143. Sat Oct 19 10:38:41 2024 7 relations: 304240
  144. Sat Oct 19 10:38:41 2024 8 relations: 292077
  145. Sat Oct 19 10:38:41 2024 9 relations: 273784
  146. Sat Oct 19 10:38:41 2024 10+ relations: 1627660
  147. Sat Oct 19 10:38:41 2024 heaviest cycle: 28 relations
  148. Sat Oct 19 10:38:42 2024 commencing cycle optimization
  149. Sat Oct 19 10:38:55 2024 start with 35960405 relations
  150. Sat Oct 19 10:40:51 2024 pruned 2096992 relations
  151. Sat Oct 19 10:40:51 2024 memory use: 885.5 MB
  152. Sat Oct 19 10:40:51 2024 distribution of cycle lengths:
  153. Sat Oct 19 10:40:51 2024 1 relations: 83173
  154. Sat Oct 19 10:40:51 2024 2 relations: 180560
  155. Sat Oct 19 10:40:51 2024 3 relations: 252156
  156. Sat Oct 19 10:40:51 2024 4 relations: 289264
  157. Sat Oct 19 10:40:51 2024 5 relations: 319928
  158. Sat Oct 19 10:40:51 2024 6 relations: 327736
  159. Sat Oct 19 10:40:51 2024 7 relations: 326950
  160. Sat Oct 19 10:40:51 2024 8 relations: 312509
  161. Sat Oct 19 10:40:51 2024 9 relations: 290974
  162. Sat Oct 19 10:40:51 2024 10+ relations: 1493849
  163. Sat Oct 19 10:40:51 2024 heaviest cycle: 28 relations
  164. Sat Oct 19 10:41:00 2024 RelProcTime: 5525
  165. Sat Oct 19 10:41:00 2024 elapsed time 01:32:07
  166. Sat Oct 19 10:47:41 2024
  167. Sat Oct 19 10:47:41 2024
  168. Sat Oct 19 10:47:41 2024 Msieve v. 1.54 (SVN Unversioned directory)
  169. Sat Oct 19 10:47:41 2024 random seeds: e507fe5f e3082b1e
  170. Sat Oct 19 10:47:41 2024 factoring 7901253298874346135923165339953840930081890805837860698509888996454736432868969369405860955379917504232273434996014248595382665889457190552422483584934572448049191129436697798329616332971 (187 digits)
  171. Sat Oct 19 10:47:42 2024 searching for 15-digit factors
  172. Sat Oct 19 10:47:43 2024 commencing number field sieve (187-digit input)
  173. Sat Oct 19 10:47:43 2024 R0: 1171664537741547476677901104933570901
  174. Sat Oct 19 10:47:43 2024 R1: -1
  175. Sat Oct 19 10:47:43 2024 A0: -1
  176. Sat Oct 19 10:47:43 2024 A1: 0
  177. Sat Oct 19 10:47:43 2024 A2: 0
  178. Sat Oct 19 10:47:43 2024 A3: 0
  179. Sat Oct 19 10:47:43 2024 A4: 0
  180. Sat Oct 19 10:47:43 2024 A5: 0
  181. Sat Oct 19 10:47:43 2024 A6: 1901
  182. Sat Oct 19 10:47:43 2024 skew 0.28, size 5.174e-11, alpha 0.622, combined = 2.100e-12 rroots = 2
  183. Sat Oct 19 10:47:43 2024
  184. Sat Oct 19 10:47:43 2024 commencing linear algebra
  185. Sat Oct 19 10:47:43 2024 using VBITS=256
  186. Sat Oct 19 10:47:44 2024 read 3877099 cycles
  187. Sat Oct 19 10:47:54 2024 cycles contain 12173305 unique relations
  188. Sat Oct 19 10:50:23 2024 read 12173305 relations
  189. Sat Oct 19 10:50:45 2024 using 20 quadratic characters above 4294917295
  190. Sat Oct 19 10:51:55 2024 building initial matrix
  191. Sat Oct 19 10:56:29 2024 memory use: 1549.7 MB
  192. Sat Oct 19 10:56:32 2024 read 3877099 cycles
  193. Sat Oct 19 10:56:33 2024 matrix is 3876922 x 3877099 (1792.7 MB) with weight 524145926 (135.19/col)
  194. Sat Oct 19 10:56:33 2024 sparse part has weight 427295816 (110.21/col)
  195. Sat Oct 19 10:57:35 2024 filtering completed in 2 passes
  196. Sat Oct 19 10:57:36 2024 matrix is 3876849 x 3877021 (1792.7 MB) with weight 524143126 (135.19/col)
  197. Sat Oct 19 10:57:36 2024 sparse part has weight 427294903 (110.21/col)
  198. Sat Oct 19 10:57:51 2024 matrix starts at (0, 0)
  199. Sat Oct 19 10:57:52 2024 matrix is 3876849 x 3877021 (1792.7 MB) with weight 524143126 (135.19/col)
  200. Sat Oct 19 10:57:52 2024 sparse part has weight 427294903 (110.21/col)
  201. Sat Oct 19 10:57:52 2024 saving the first 240 matrix rows for later
  202. Sat Oct 19 10:57:53 2024 matrix includes 256 packed rows
  203. Sat Oct 19 10:57:56 2024 matrix is 3876609 x 3877021 (1644.0 MB) with weight 391083341 (100.87/col)
  204. Sat Oct 19 10:57:56 2024 sparse part has weight 368926714 (95.16/col)
  205. Sat Oct 19 10:57:57 2024 using GPU 0 (NVIDIA GeForce GTX 1660)
  206. Sat Oct 19 10:57:57 2024 selected card has CUDA arch 7.5
  207. Sat Oct 19 10:58:38 2024 commencing Lanczos iteration
  208. Sat Oct 19 10:58:38 2024 memory use: 3790.8 MB
  209. Sat Oct 19 11:03:31 2024 linear algebra at 0.2%, ETA 40h 8m
  210. Sat Oct 19 11:03:34 2024 checkpointing every 100000 dimensions
  211. Sat Oct 19 22:40:24 2024 lanczos halted after 15189 iterations (dim = 3876607)
  212. Sat Oct 19 22:40:46 2024 recovered 37 nontrivial dependencies
  213. Sat Oct 19 22:40:47 2024 BLanczosTime: 42784
  214. Sat Oct 19 22:40:47 2024
  215. Sat Oct 19 22:40:47 2024 commencing square root phase
  216. Sat Oct 19 22:40:47 2024 handling dependencies 1 to 64
  217. Sat Oct 19 22:40:47 2024 reading relations for dependency 1
  218. Sat Oct 19 22:40:47 2024 read 1938165 cycles
  219. Sat Oct 19 22:40:53 2024 cycles contain 6083952 unique relations
  220. Sat Oct 19 22:42:10 2024 read 6083952 relations
  221. Sat Oct 19 22:42:56 2024 multiplying 6083952 relations
  222. Sat Oct 19 22:51:36 2024 multiply complete, coefficients have about 208.00 million bits
  223. Sat Oct 19 22:51:37 2024 initial square root is modulo 29149111
  224. Sat Oct 19 23:02:07 2024 GCD is 1, no factor found
  225. Sat Oct 19 23:02:07 2024 reading relations for dependency 2
  226. Sat Oct 19 23:02:08 2024 read 1938491 cycles
  227. Sat Oct 19 23:02:14 2024 cycles contain 6088364 unique relations
  228. Sat Oct 19 23:03:22 2024 read 6088364 relations
  229. Sat Oct 19 23:04:04 2024 multiplying 6088364 relations
  230. Sat Oct 19 23:12:48 2024 multiply complete, coefficients have about 208.15 million bits
  231. Sat Oct 19 23:12:49 2024 initial square root is modulo 29511343
  232. Sat Oct 19 23:22:54 2024 sqrtTime: 2527
  233. Sat Oct 19 23:22:54 2024 p72 factor: 322574938447430636587590233926331544561986656392210868699866048127063867
  234. Sat Oct 19 23:22:54 2024 p116 factor: 24494318550918663104281235747258126243711250498156679779197113818889339275036020925418953495087221864763027577548113
  235. Sat Oct 19 23:22:54 2024 elapsed time 12:35:13
  236.  
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