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Mar 21st, 2023
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  1. Tue Mar 21 12:16:04 2023
  2. Tue Mar 21 12:16:04 2023
  3. Tue Mar 21 12:16:04 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Mar 21 12:16:04 2023 random seeds: a7fcebbf 312195a9
  5. Tue Mar 21 12:16:04 2023 factoring 8407361350962722714163111347643086323773646491175882654014608669195576201212795466669349585322363376147729452514651936017825391204370736138490814344119038602419783460000266689462462856843065909048353 (199 digits)
  6. Tue Mar 21 12:16:04 2023 no P-1/P+1/ECM available, skipping
  7. Tue Mar 21 12:16:04 2023 commencing number field sieve (199-digit input)
  8. Tue Mar 21 12:16:04 2023 R0: 4807557298497810374791931204229711982139
  9. Tue Mar 21 12:16:04 2023 R1: -1
  10. Tue Mar 21 12:16:04 2023 A0: 1
  11. Tue Mar 21 12:16:04 2023 A1: 1
  12. Tue Mar 21 12:16:04 2023 A2: 1
  13. Tue Mar 21 12:16:04 2023 A3: 1
  14. Tue Mar 21 12:16:04 2023 A4: 1
  15. Tue Mar 21 12:16:04 2023 A5: 1
  16. Tue Mar 21 12:16:04 2023 A6: 1
  17. Tue Mar 21 12:16:04 2023 skew 1.00, size 8.937e-12, alpha 2.428, combined = 5.876e-13 rroots = 0
  18. Tue Mar 21 12:16:04 2023
  19. Tue Mar 21 12:16:04 2023 commencing relation filtering
  20. Tue Mar 21 12:16:04 2023 setting target matrix density to 112.0
  21. Tue Mar 21 12:16:04 2023 estimated available RAM is 15960.0 MB
  22. Tue Mar 21 12:16:04 2023 commencing duplicate removal, pass 1
  23. Tue Mar 21 12:34:34 2023 skipped 25 relations with b > 2^32
  24. Tue Mar 21 12:34:34 2023 found 4905846 hash collisions in 148479793 relations
  25. Tue Mar 21 12:34:41 2023 added 2438534 free relations
  26. Tue Mar 21 12:34:41 2023 commencing duplicate removal, pass 2
  27. Tue Mar 21 12:35:21 2023 found 0 duplicates and 150918327 unique relations
  28. Tue Mar 21 12:35:21 2023 memory use: 389.2 MB
  29. Tue Mar 21 12:35:21 2023 reading ideals above 111869952
  30. Tue Mar 21 12:35:21 2023 commencing singleton removal, initial pass
  31. Tue Mar 21 12:49:02 2023 memory use: 3012.0 MB
  32. Tue Mar 21 12:49:02 2023 reading all ideals from disk
  33. Tue Mar 21 12:49:06 2023 memory use: 2654.8 MB
  34. Tue Mar 21 12:49:11 2023 commencing in-memory singleton removal
  35. Tue Mar 21 12:49:16 2023 begin with 150918327 relations and 119511384 unique ideals
  36. Tue Mar 21 12:50:10 2023 reduce to 104409634 relations and 68929725 ideals in 13 passes
  37. Tue Mar 21 12:50:10 2023 max relations containing the same ideal: 40
  38. Tue Mar 21 12:50:15 2023 reading ideals above 720000
  39. Tue Mar 21 12:50:15 2023 commencing singleton removal, initial pass
  40. Tue Mar 21 13:01:58 2023 memory use: 1506.0 MB
  41. Tue Mar 21 13:01:59 2023 reading all ideals from disk
  42. Tue Mar 21 13:02:05 2023 memory use: 4037.8 MB
  43. Tue Mar 21 13:02:14 2023 keeping 81220057 ideals with weight <= 200, target excess is 516608
  44. Tue Mar 21 13:02:25 2023 commencing in-memory singleton removal
  45. Tue Mar 21 13:02:33 2023 begin with 104409634 relations and 81220057 unique ideals
  46. Tue Mar 21 13:03:11 2023 reduce to 104409575 relations and 81219998 ideals in 5 passes
  47. Tue Mar 21 13:03:11 2023 max relations containing the same ideal: 200
  48. Tue Mar 21 13:03:54 2023 removing 8926223 relations and 6926223 ideals in 2000000 cliques
  49. Tue Mar 21 13:03:57 2023 commencing in-memory singleton removal
  50. Tue Mar 21 13:04:04 2023 begin with 95483352 relations and 81219998 unique ideals
  51. Tue Mar 21 13:04:53 2023 reduce to 94874207 relations and 73669998 ideals in 7 passes
  52. Tue Mar 21 13:04:53 2023 max relations containing the same ideal: 198
  53. Tue Mar 21 13:05:30 2023 removing 7025438 relations and 5025438 ideals in 2000000 cliques
  54. Tue Mar 21 13:05:33 2023 commencing in-memory singleton removal
  55. Tue Mar 21 13:05:40 2023 begin with 87848769 relations and 73669998 unique ideals
  56. Tue Mar 21 13:06:24 2023 reduce to 87427189 relations and 68213717 ideals in 7 passes
  57. Tue Mar 21 13:06:24 2023 max relations containing the same ideal: 187
  58. Tue Mar 21 13:06:59 2023 removing 6507146 relations and 4507146 ideals in 2000000 cliques
  59. Tue Mar 21 13:07:02 2023 commencing in-memory singleton removal
  60. Tue Mar 21 13:07:08 2023 begin with 80920043 relations and 68213717 unique ideals
  61. Tue Mar 21 13:07:48 2023 reduce to 80541754 relations and 63320197 ideals in 7 passes
  62. Tue Mar 21 13:07:48 2023 max relations containing the same ideal: 180
  63. Tue Mar 21 13:08:19 2023 removing 6246537 relations and 4246537 ideals in 2000000 cliques
  64. Tue Mar 21 13:08:22 2023 commencing in-memory singleton removal
  65. Tue Mar 21 13:08:28 2023 begin with 74295217 relations and 63320197 unique ideals
  66. Tue Mar 21 13:09:05 2023 reduce to 73928946 relations and 58698845 ideals in 7 passes
  67. Tue Mar 21 13:09:05 2023 max relations containing the same ideal: 171
  68. Tue Mar 21 13:09:33 2023 removing 6099003 relations and 4099003 ideals in 2000000 cliques
  69. Tue Mar 21 13:09:36 2023 commencing in-memory singleton removal
  70. Tue Mar 21 13:09:41 2023 begin with 67829943 relations and 58698845 unique ideals
  71. Tue Mar 21 13:10:13 2023 reduce to 67460747 relations and 54221465 ideals in 7 passes
  72. Tue Mar 21 13:10:13 2023 max relations containing the same ideal: 160
  73. Tue Mar 21 13:10:39 2023 removing 6002903 relations and 4002903 ideals in 2000000 cliques
  74. Tue Mar 21 13:10:42 2023 commencing in-memory singleton removal
  75. Tue Mar 21 13:10:46 2023 begin with 61457844 relations and 54221465 unique ideals
  76. Tue Mar 21 13:11:14 2023 reduce to 61074648 relations and 49825375 ideals in 7 passes
  77. Tue Mar 21 13:11:14 2023 max relations containing the same ideal: 151
  78. Tue Mar 21 13:11:37 2023 removing 5950779 relations and 3950779 ideals in 2000000 cliques
  79. Tue Mar 21 13:11:39 2023 commencing in-memory singleton removal
  80. Tue Mar 21 13:11:43 2023 begin with 55123869 relations and 49825375 unique ideals
  81. Tue Mar 21 13:12:06 2023 reduce to 54715893 relations and 45454880 ideals in 7 passes
  82. Tue Mar 21 13:12:06 2023 max relations containing the same ideal: 139
  83. Tue Mar 21 13:12:26 2023 removing 5925874 relations and 3925874 ideals in 2000000 cliques
  84. Tue Mar 21 13:12:28 2023 commencing in-memory singleton removal
  85. Tue Mar 21 13:12:32 2023 begin with 48790019 relations and 45454880 unique ideals
  86. Tue Mar 21 13:12:52 2023 reduce to 48342832 relations and 41067293 ideals in 7 passes
  87. Tue Mar 21 13:12:52 2023 max relations containing the same ideal: 134
  88. Tue Mar 21 13:13:09 2023 removing 5926728 relations and 3926728 ideals in 2000000 cliques
  89. Tue Mar 21 13:13:11 2023 commencing in-memory singleton removal
  90. Tue Mar 21 13:13:14 2023 begin with 42416104 relations and 41067293 unique ideals
  91. Tue Mar 21 13:13:31 2023 reduce to 41914768 relations and 36621104 ideals in 7 passes
  92. Tue Mar 21 13:13:31 2023 max relations containing the same ideal: 116
  93. Tue Mar 21 13:13:47 2023 removing 5947827 relations and 3947827 ideals in 2000000 cliques
  94. Tue Mar 21 13:13:49 2023 commencing in-memory singleton removal
  95. Tue Mar 21 13:13:51 2023 begin with 35966941 relations and 36621104 unique ideals
  96. Tue Mar 21 13:14:04 2023 reduce to 35388439 relations and 32070802 ideals in 7 passes
  97. Tue Mar 21 13:14:04 2023 max relations containing the same ideal: 104
  98. Tue Mar 21 13:14:16 2023 removing 5992892 relations and 3992892 ideals in 2000000 cliques
  99. Tue Mar 21 13:14:18 2023 commencing in-memory singleton removal
  100. Tue Mar 21 13:14:20 2023 begin with 29395547 relations and 32070802 unique ideals
  101. Tue Mar 21 13:14:30 2023 reduce to 28689648 relations and 27337366 ideals in 7 passes
  102. Tue Mar 21 13:14:30 2023 max relations containing the same ideal: 88
  103. Tue Mar 21 13:14:40 2023 removing 2757922 relations and 2004906 ideals in 753016 cliques
  104. Tue Mar 21 13:14:41 2023 commencing in-memory singleton removal
  105. Tue Mar 21 13:14:43 2023 begin with 25931726 relations and 27337366 unique ideals
  106. Tue Mar 21 13:14:53 2023 reduce to 25716934 relations and 25112573 ideals in 8 passes
  107. Tue Mar 21 13:14:53 2023 max relations containing the same ideal: 85
  108. Tue Mar 21 13:15:06 2023 relations with 0 large ideals: 39544
  109. Tue Mar 21 13:15:06 2023 relations with 1 large ideals: 7677
  110. Tue Mar 21 13:15:06 2023 relations with 2 large ideals: 88105
  111. Tue Mar 21 13:15:06 2023 relations with 3 large ideals: 596966
  112. Tue Mar 21 13:15:06 2023 relations with 4 large ideals: 2205884
  113. Tue Mar 21 13:15:06 2023 relations with 5 large ideals: 4870265
  114. Tue Mar 21 13:15:06 2023 relations with 6 large ideals: 6715248
  115. Tue Mar 21 13:15:06 2023 relations with 7+ large ideals: 11193245
  116. Tue Mar 21 13:15:06 2023 commencing 2-way merge
  117. Tue Mar 21 13:15:18 2023 reduce to 17322932 relation sets and 16718571 unique ideals
  118. Tue Mar 21 13:15:18 2023 commencing full merge
  119. Tue Mar 21 13:20:59 2023 memory use: 2320.6 MB
  120. Tue Mar 21 13:21:00 2023 found 7937990 cycles, need 7912771
  121. Tue Mar 21 13:21:03 2023 weight of 7912771 cycles is about 886637707 (112.05/cycle)
  122. Tue Mar 21 13:21:03 2023 distribution of cycle lengths:
  123. Tue Mar 21 13:21:03 2023 1 relations: 373473
  124. Tue Mar 21 13:21:03 2023 2 relations: 490665
  125. Tue Mar 21 13:21:03 2023 3 relations: 567142
  126. Tue Mar 21 13:21:03 2023 4 relations: 586223
  127. Tue Mar 21 13:21:03 2023 5 relations: 601667
  128. Tue Mar 21 13:21:03 2023 6 relations: 592845
  129. Tue Mar 21 13:21:03 2023 7 relations: 580395
  130. Tue Mar 21 13:21:03 2023 8 relations: 551614
  131. Tue Mar 21 13:21:03 2023 9 relations: 515136
  132. Tue Mar 21 13:21:03 2023 10+ relations: 3053611
  133. Tue Mar 21 13:21:03 2023 heaviest cycle: 28 relations
  134. Tue Mar 21 13:21:04 2023 commencing cycle optimization
  135. Tue Mar 21 13:21:18 2023 start with 68840303 relations
  136. Tue Mar 21 13:23:23 2023 pruned 3297438 relations
  137. Tue Mar 21 13:23:23 2023 memory use: 1778.3 MB
  138. Tue Mar 21 13:23:23 2023 distribution of cycle lengths:
  139. Tue Mar 21 13:23:23 2023 1 relations: 373473
  140. Tue Mar 21 13:23:23 2023 2 relations: 501433
  141. Tue Mar 21 13:23:23 2023 3 relations: 589856
  142. Tue Mar 21 13:23:23 2023 4 relations: 610387
  143. Tue Mar 21 13:23:23 2023 5 relations: 632377
  144. Tue Mar 21 13:23:23 2023 6 relations: 623578
  145. Tue Mar 21 13:23:23 2023 7 relations: 612997
  146. Tue Mar 21 13:23:23 2023 8 relations: 579739
  147. Tue Mar 21 13:23:23 2023 9 relations: 539639
  148. Tue Mar 21 13:23:23 2023 10+ relations: 2849292
  149. Tue Mar 21 13:23:23 2023 heaviest cycle: 28 relations
  150. Tue Mar 21 13:23:35 2023 RelProcTime: 4051
  151. Tue Mar 21 13:23:35 2023 elapsed time 01:07:31
  152. Tue Mar 21 13:28:41 2023
  153. Tue Mar 21 13:28:41 2023
  154. Tue Mar 21 13:28:41 2023 Msieve v. 1.54 (SVN Unversioned directory)
  155. Tue Mar 21 13:28:41 2023 random seeds: cf1b4494 4febced4
  156. Tue Mar 21 13:28:41 2023 factoring 8407361350962722714163111347643086323773646491175882654014608669195576201212795466669349585322363376147729452514651936017825391204370736138490814344119038602419783460000266689462462856843065909048353 (199 digits)
  157. Tue Mar 21 13:28:42 2023 no P-1/P+1/ECM available, skipping
  158. Tue Mar 21 13:28:42 2023 commencing number field sieve (199-digit input)
  159. Tue Mar 21 13:28:42 2023 R0: 4807557298497810374791931204229711982139
  160. Tue Mar 21 13:28:42 2023 R1: -1
  161. Tue Mar 21 13:28:42 2023 A0: 1
  162. Tue Mar 21 13:28:42 2023 A1: 1
  163. Tue Mar 21 13:28:42 2023 A2: 1
  164. Tue Mar 21 13:28:42 2023 A3: 1
  165. Tue Mar 21 13:28:42 2023 A4: 1
  166. Tue Mar 21 13:28:42 2023 A5: 1
  167. Tue Mar 21 13:28:42 2023 A6: 1
  168. Tue Mar 21 13:28:42 2023 skew 1.00, size 8.937e-12, alpha 2.428, combined = 5.876e-13 rroots = 0
  169. Tue Mar 21 13:28:42 2023
  170. Tue Mar 21 13:28:42 2023 commencing linear algebra
  171. Tue Mar 21 13:28:42 2023 using VBITS=512
  172. Tue Mar 21 13:28:42 2023 read 7912771 cycles
  173. Tue Mar 21 13:28:55 2023 cycles contain 25382009 unique relations
  174. Tue Mar 21 13:31:02 2023 read 25382009 relations
  175. Tue Mar 21 13:31:35 2023 using 20 quadratic characters above 4294917295
  176. Tue Mar 21 13:33:13 2023 building initial matrix
  177. Tue Mar 21 13:37:48 2023 memory use: 3135.1 MB
  178. Tue Mar 21 13:37:51 2023 read 7912771 cycles
  179. Tue Mar 21 13:37:52 2023 matrix is 7912594 x 7912771 (3491.0 MB) with weight 993367021 (125.54/col)
  180. Tue Mar 21 13:37:52 2023 sparse part has weight 828109427 (104.65/col)
  181. Tue Mar 21 13:39:17 2023 filtering completed in 2 passes
  182. Tue Mar 21 13:39:18 2023 matrix is 7912440 x 7912583 (3491.0 MB) with weight 993361091 (125.54/col)
  183. Tue Mar 21 13:39:18 2023 sparse part has weight 828107333 (104.66/col)
  184. Tue Mar 21 13:39:38 2023 matrix starts at (0, 0)
  185. Tue Mar 21 13:39:39 2023 matrix is 7912440 x 7912583 (3491.0 MB) with weight 993361091 (125.54/col)
  186. Tue Mar 21 13:39:39 2023 sparse part has weight 828107333 (104.66/col)
  187. Tue Mar 21 13:39:39 2023 saving the first 496 matrix rows for later
  188. Tue Mar 21 13:39:40 2023 matrix includes 512 packed rows
  189. Tue Mar 21 13:39:46 2023 matrix is 7911944 x 7912583 (3303.5 MB) with weight 713851556 (90.22/col)
  190. Tue Mar 21 13:39:46 2023 sparse part has weight 676081909 (85.44/col)
  191. Tue Mar 21 13:39:46 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  192. Tue Mar 21 13:39:46 2023 selected card has CUDA arch 8.6
  193. Tue Mar 21 13:40:33 2023 commencing Lanczos iteration
  194. Tue Mar 21 13:40:34 2023 memory use: 9263.2 MB
  195. Tue Mar 21 13:41:03 2023 linear algebra at 0.2%, ETA 4h 8m
  196. Tue Mar 21 13:41:04 2023 checkpointing every 1910000 dimensions
  197. Tue Mar 21 17:40:36 2023 lanczos halted after 15478 iterations (dim = 7911942)
  198. Tue Mar 21 17:42:22 2023 recovered 38 nontrivial dependencies
  199. Tue Mar 21 17:42:22 2023 BLanczosTime: 15220
  200. Tue Mar 21 17:42:22 2023
  201. Tue Mar 21 17:42:22 2023 commencing square root phase
  202. Tue Mar 21 17:42:22 2023 handling dependencies 1 to 64
  203. Tue Mar 21 17:42:22 2023 reading relations for dependency 1
  204. Tue Mar 21 17:42:23 2023 read 3955735 cycles
  205. Tue Mar 21 17:42:30 2023 cycles contain 12688716 unique relations
  206. Tue Mar 21 17:43:39 2023 read 12688716 relations
  207. Tue Mar 21 17:44:27 2023 multiplying 12688716 relations
  208. Tue Mar 21 17:51:00 2023 multiply complete, coefficients have about 313.32 million bits
  209. Tue Mar 21 17:51:02 2023 initial square root is modulo 418843
  210. Tue Mar 21 17:58:31 2023 GCD is N, no factor found
  211. Tue Mar 21 17:58:31 2023 reading relations for dependency 2
  212. Tue Mar 21 17:58:32 2023 read 3954961 cycles
  213. Tue Mar 21 17:58:38 2023 cycles contain 12686556 unique relations
  214. Tue Mar 21 17:59:46 2023 read 12686556 relations
  215. Tue Mar 21 18:00:35 2023 multiplying 12686556 relations
  216. Tue Mar 21 18:07:09 2023 multiply complete, coefficients have about 313.27 million bits
  217. Tue Mar 21 18:07:11 2023 initial square root is modulo 418031
  218. Tue Mar 21 18:14:44 2023 sqrtTime: 1942
  219. Tue Mar 21 18:14:44 2023 p69 factor: 170075307981452133235064464304880947769231381019175505383881777615379
  220. Tue Mar 21 18:14:44 2023 p131 factor: 49433168463699636731490883284918726244043614581404623141398980380343562772752530550939658195867817584070014649180567854218282813307
  221. Tue Mar 21 18:14:44 2023 elapsed time 04:46:03
  222.  
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