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Sep 27th, 2023
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  1. Wed Sep 27 08:54:01 2023
  2. Wed Sep 27 08:54:01 2023
  3. Wed Sep 27 08:54:01 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Sep 27 08:54:01 2023 random seeds: c64c6415 b077a567
  5. Wed Sep 27 08:54:01 2023 factoring 750786321748749752957166615578219259321903742979736149298410753371756247254544560365419631609897254446032635519322180007481584291289342728266505748982300947200035605816257738879551658902948936084415461722208685801023539 (219 digits)
  6. Wed Sep 27 08:54:02 2023 no P-1/P+1/ECM available, skipping
  7. Wed Sep 27 08:54:02 2023 commencing number field sieve (219-digit input)
  8. Wed Sep 27 08:54:02 2023 reversing signs of algebraic polynomial
  9. Wed Sep 27 08:54:02 2023 R0: -1
  10. Wed Sep 27 08:54:02 2023 R1: 23763920701209799288009687306710357251
  11. Wed Sep 27 08:54:02 2023 A0: -29866451
  12. Wed Sep 27 08:54:02 2023 A1: 0
  13. Wed Sep 27 08:54:02 2023 A2: 0
  14. Wed Sep 27 08:54:02 2023 A3: 0
  15. Wed Sep 27 08:54:02 2023 A4: 0
  16. Wed Sep 27 08:54:02 2023 A5: 0
  17. Wed Sep 27 08:54:02 2023 A6: 1
  18. Wed Sep 27 08:54:02 2023 skew 13.85, size 3.176e-12, alpha 1.743, combined = 2.900e-13 rroots = 2
  19. Wed Sep 27 08:54:02 2023
  20. Wed Sep 27 08:54:02 2023 commencing relation filtering
  21. Wed Sep 27 08:54:02 2023 setting target matrix density to 112.0
  22. Wed Sep 27 08:54:02 2023 reversing signs of algebraic polynomial
  23. Wed Sep 27 08:54:02 2023 estimated available RAM is 15960.0 MB
  24. Wed Sep 27 08:54:02 2023 commencing duplicate removal, pass 1
  25. Wed Sep 27 09:17:05 2023 error -1 reading relation 146635096
  26. Wed Sep 27 09:17:52 2023 error -11 reading relation 151636607
  27. Wed Sep 27 09:18:44 2023 skipped 2 relations with b > 2^32
  28. Wed Sep 27 09:18:44 2023 skipped 2 relations with composite factors
  29. Wed Sep 27 09:18:44 2023 found 5478124 hash collisions in 157093835 relations
  30. Wed Sep 27 09:19:03 2023 added 1220135 free relations
  31. Wed Sep 27 09:19:03 2023 commencing duplicate removal, pass 2
  32. Wed Sep 27 09:20:12 2023 found 0 duplicates and 158313970 unique relations
  33. Wed Sep 27 09:20:12 2023 memory use: 506.4 MB
  34. Wed Sep 27 09:20:12 2023 reading ideals above 101908480
  35. Wed Sep 27 09:20:12 2023 commencing singleton removal, initial pass
  36. Wed Sep 27 09:37:43 2023 memory use: 3012.0 MB
  37. Wed Sep 27 09:37:43 2023 reading all ideals from disk
  38. Wed Sep 27 09:37:51 2023 memory use: 2788.5 MB
  39. Wed Sep 27 09:37:59 2023 commencing in-memory singleton removal
  40. Wed Sep 27 09:38:08 2023 begin with 158313970 relations and 123227616 unique ideals
  41. Wed Sep 27 09:39:22 2023 reduce to 112506120 relations and 73648613 ideals in 11 passes
  42. Wed Sep 27 09:39:22 2023 max relations containing the same ideal: 49
  43. Wed Sep 27 09:39:30 2023 reading ideals above 720000
  44. Wed Sep 27 09:39:30 2023 commencing singleton removal, initial pass
  45. Wed Sep 27 09:57:06 2023 memory use: 2756.0 MB
  46. Wed Sep 27 09:57:06 2023 reading all ideals from disk
  47. Wed Sep 27 09:57:19 2023 memory use: 4472.9 MB
  48. Wed Sep 27 09:57:35 2023 keeping 84771400 ideals with weight <= 200, target excess is 606545
  49. Wed Sep 27 09:57:53 2023 commencing in-memory singleton removal
  50. Wed Sep 27 09:58:06 2023 begin with 112506120 relations and 84771400 unique ideals
  51. Wed Sep 27 09:58:30 2023 reduce to 112506106 relations and 84771386 ideals in 2 passes
  52. Wed Sep 27 09:58:30 2023 max relations containing the same ideal: 200
  53. Wed Sep 27 09:59:42 2023 removing 8748115 relations and 6748115 ideals in 2000000 cliques
  54. Wed Sep 27 09:59:47 2023 commencing in-memory singleton removal
  55. Wed Sep 27 09:59:59 2023 begin with 103757991 relations and 84771386 unique ideals
  56. Wed Sep 27 10:01:17 2023 reduce to 103246657 relations and 77500846 ideals in 7 passes
  57. Wed Sep 27 10:01:17 2023 max relations containing the same ideal: 197
  58. Wed Sep 27 10:02:25 2023 removing 6843855 relations and 4843855 ideals in 2000000 cliques
  59. Wed Sep 27 10:02:30 2023 commencing in-memory singleton removal
  60. Wed Sep 27 10:02:41 2023 begin with 96402802 relations and 77500846 unique ideals
  61. Wed Sep 27 10:03:44 2023 reduce to 96050438 relations and 72297868 ideals in 6 passes
  62. Wed Sep 27 10:03:44 2023 max relations containing the same ideal: 190
  63. Wed Sep 27 10:04:45 2023 removing 6319389 relations and 4319389 ideals in 2000000 cliques
  64. Wed Sep 27 10:04:50 2023 commencing in-memory singleton removal
  65. Wed Sep 27 10:05:00 2023 begin with 89731049 relations and 72297868 unique ideals
  66. Wed Sep 27 10:06:06 2023 reduce to 89423039 relations and 67664533 ideals in 7 passes
  67. Wed Sep 27 10:06:06 2023 max relations containing the same ideal: 182
  68. Wed Sep 27 10:07:03 2023 removing 6054714 relations and 4054714 ideals in 2000000 cliques
  69. Wed Sep 27 10:07:07 2023 commencing in-memory singleton removal
  70. Wed Sep 27 10:07:16 2023 begin with 83368325 relations and 67664533 unique ideals
  71. Wed Sep 27 10:08:04 2023 reduce to 83077862 relations and 63313369 ideals in 6 passes
  72. Wed Sep 27 10:08:04 2023 max relations containing the same ideal: 176
  73. Wed Sep 27 10:08:55 2023 removing 5886785 relations and 3886785 ideals in 2000000 cliques
  74. Wed Sep 27 10:08:58 2023 commencing in-memory singleton removal
  75. Wed Sep 27 10:09:06 2023 begin with 77191077 relations and 63313369 unique ideals
  76. Wed Sep 27 10:09:57 2023 reduce to 76907296 relations and 59136706 ideals in 7 passes
  77. Wed Sep 27 10:09:57 2023 max relations containing the same ideal: 166
  78. Wed Sep 27 10:10:42 2023 removing 5775617 relations and 3775617 ideals in 2000000 cliques
  79. Wed Sep 27 10:10:46 2023 commencing in-memory singleton removal
  80. Wed Sep 27 10:10:53 2023 begin with 71131679 relations and 59136706 unique ideals
  81. Wed Sep 27 10:11:40 2023 reduce to 70844786 relations and 55067567 ideals in 7 passes
  82. Wed Sep 27 10:11:40 2023 max relations containing the same ideal: 158
  83. Wed Sep 27 10:12:21 2023 removing 5698719 relations and 3698719 ideals in 2000000 cliques
  84. Wed Sep 27 10:12:25 2023 commencing in-memory singleton removal
  85. Wed Sep 27 10:12:31 2023 begin with 65146067 relations and 55067567 unique ideals
  86. Wed Sep 27 10:13:11 2023 reduce to 64853233 relations and 51068834 ideals in 7 passes
  87. Wed Sep 27 10:13:11 2023 max relations containing the same ideal: 150
  88. Wed Sep 27 10:13:49 2023 removing 5646343 relations and 3646343 ideals in 2000000 cliques
  89. Wed Sep 27 10:13:52 2023 commencing in-memory singleton removal
  90. Wed Sep 27 10:13:58 2023 begin with 59206890 relations and 51068834 unique ideals
  91. Wed Sep 27 10:14:30 2023 reduce to 58899173 relations and 47106438 ideals in 6 passes
  92. Wed Sep 27 10:14:30 2023 max relations containing the same ideal: 142
  93. Wed Sep 27 10:15:04 2023 removing 5614078 relations and 3614078 ideals in 2000000 cliques
  94. Wed Sep 27 10:15:07 2023 commencing in-memory singleton removal
  95. Wed Sep 27 10:15:12 2023 begin with 53285095 relations and 47106438 unique ideals
  96. Wed Sep 27 10:15:44 2023 reduce to 52958028 relations and 43155820 ideals in 7 passes
  97. Wed Sep 27 10:15:44 2023 max relations containing the same ideal: 133
  98. Wed Sep 27 10:16:14 2023 removing 5598663 relations and 3598663 ideals in 2000000 cliques
  99. Wed Sep 27 10:16:16 2023 commencing in-memory singleton removal
  100. Wed Sep 27 10:16:21 2023 begin with 47359365 relations and 43155820 unique ideals
  101. Wed Sep 27 10:16:45 2023 reduce to 47002863 relations and 39189332 ideals in 6 passes
  102. Wed Sep 27 10:16:45 2023 max relations containing the same ideal: 125
  103. Wed Sep 27 10:17:11 2023 removing 5598869 relations and 3598869 ideals in 2000000 cliques
  104. Wed Sep 27 10:17:14 2023 commencing in-memory singleton removal
  105. Wed Sep 27 10:17:18 2023 begin with 41403994 relations and 39189332 unique ideals
  106. Wed Sep 27 10:17:43 2023 reduce to 41004015 relations and 35176321 ideals in 7 passes
  107. Wed Sep 27 10:17:43 2023 max relations containing the same ideal: 114
  108. Wed Sep 27 10:18:09 2023 removing 5616287 relations and 3616287 ideals in 2000000 cliques
  109. Wed Sep 27 10:18:11 2023 commencing in-memory singleton removal
  110. Wed Sep 27 10:18:15 2023 begin with 35387728 relations and 35176321 unique ideals
  111. Wed Sep 27 10:18:33 2023 reduce to 34928647 relations and 31082587 ideals in 6 passes
  112. Wed Sep 27 10:18:33 2023 max relations containing the same ideal: 102
  113. Wed Sep 27 10:18:55 2023 removing 5652629 relations and 3652629 ideals in 2000000 cliques
  114. Wed Sep 27 10:18:57 2023 commencing in-memory singleton removal
  115. Wed Sep 27 10:19:00 2023 begin with 29276018 relations and 31082587 unique ideals
  116. Wed Sep 27 10:19:17 2023 reduce to 28719948 relations and 26847521 ideals in 7 passes
  117. Wed Sep 27 10:19:17 2023 max relations containing the same ideal: 85
  118. Wed Sep 27 10:19:35 2023 removing 3651210 relations and 2482376 ideals in 1168834 cliques
  119. Wed Sep 27 10:19:38 2023 commencing in-memory singleton removal
  120. Wed Sep 27 10:19:40 2023 begin with 25068738 relations and 26847521 unique ideals
  121. Wed Sep 27 10:19:54 2023 reduce to 24739361 relations and 24023799 ideals in 7 passes
  122. Wed Sep 27 10:19:54 2023 max relations containing the same ideal: 76
  123. Wed Sep 27 10:20:11 2023 removing 73218 relations and 61249 ideals in 11969 cliques
  124. Wed Sep 27 10:20:12 2023 commencing in-memory singleton removal
  125. Wed Sep 27 10:20:14 2023 begin with 24666143 relations and 24023799 unique ideals
  126. Wed Sep 27 10:20:22 2023 reduce to 24665986 relations and 23962393 ideals in 4 passes
  127. Wed Sep 27 10:20:22 2023 max relations containing the same ideal: 76
  128. Wed Sep 27 10:20:28 2023 relations with 0 large ideals: 22286
  129. Wed Sep 27 10:20:28 2023 relations with 1 large ideals: 9243
  130. Wed Sep 27 10:20:28 2023 relations with 2 large ideals: 95703
  131. Wed Sep 27 10:20:28 2023 relations with 3 large ideals: 637512
  132. Wed Sep 27 10:20:28 2023 relations with 4 large ideals: 2276427
  133. Wed Sep 27 10:20:28 2023 relations with 5 large ideals: 4846381
  134. Wed Sep 27 10:20:28 2023 relations with 6 large ideals: 6474270
  135. Wed Sep 27 10:20:28 2023 relations with 7+ large ideals: 10304164
  136. Wed Sep 27 10:20:28 2023 commencing 2-way merge
  137. Wed Sep 27 10:20:49 2023 reduce to 16804350 relation sets and 16100757 unique ideals
  138. Wed Sep 27 10:20:49 2023 commencing full merge
  139. Wed Sep 27 10:29:13 2023 memory use: 2197.9 MB
  140. Wed Sep 27 10:29:15 2023 found 7863956 cycles, need 7796957
  141. Wed Sep 27 10:29:18 2023 weight of 7796957 cycles is about 873892151 (112.08/cycle)
  142. Wed Sep 27 10:29:18 2023 distribution of cycle lengths:
  143. Wed Sep 27 10:29:18 2023 1 relations: 310810
  144. Wed Sep 27 10:29:18 2023 2 relations: 467504
  145. Wed Sep 27 10:29:18 2023 3 relations: 578999
  146. Wed Sep 27 10:29:18 2023 4 relations: 620561
  147. Wed Sep 27 10:29:18 2023 5 relations: 656251
  148. Wed Sep 27 10:29:18 2023 6 relations: 655192
  149. Wed Sep 27 10:29:18 2023 7 relations: 640507
  150. Wed Sep 27 10:29:18 2023 8 relations: 602507
  151. Wed Sep 27 10:29:18 2023 9 relations: 551139
  152. Wed Sep 27 10:29:18 2023 10+ relations: 2713487
  153. Wed Sep 27 10:29:18 2023 heaviest cycle: 28 relations
  154. Wed Sep 27 10:29:21 2023 commencing cycle optimization
  155. Wed Sep 27 10:29:39 2023 start with 63925838 relations
  156. Wed Sep 27 10:32:40 2023 pruned 3158001 relations
  157. Wed Sep 27 10:32:40 2023 memory use: 1687.3 MB
  158. Wed Sep 27 10:32:40 2023 distribution of cycle lengths:
  159. Wed Sep 27 10:32:40 2023 1 relations: 310810
  160. Wed Sep 27 10:32:40 2023 2 relations: 479837
  161. Wed Sep 27 10:32:40 2023 3 relations: 605113
  162. Wed Sep 27 10:32:40 2023 4 relations: 650417
  163. Wed Sep 27 10:32:40 2023 5 relations: 694105
  164. Wed Sep 27 10:32:40 2023 6 relations: 693098
  165. Wed Sep 27 10:32:40 2023 7 relations: 679512
  166. Wed Sep 27 10:32:40 2023 8 relations: 635342
  167. Wed Sep 27 10:32:40 2023 9 relations: 576838
  168. Wed Sep 27 10:32:40 2023 10+ relations: 2471885
  169. Wed Sep 27 10:32:40 2023 heaviest cycle: 28 relations
  170. Wed Sep 27 10:33:01 2023 RelProcTime: 5939
  171. Wed Sep 27 10:33:01 2023 elapsed time 01:39:00
  172. Wed Sep 27 10:33:20 2023
  173. Wed Sep 27 10:33:20 2023
  174. Wed Sep 27 10:33:20 2023 Msieve v. 1.54 (SVN Unversioned directory)
  175. Wed Sep 27 10:33:20 2023 random seeds: acc4020d f7bafbc1
  176. Wed Sep 27 10:33:20 2023 factoring 750786321748749752957166615578219259321903742979736149298410753371756247254544560365419631609897254446032635519322180007481584291289342728266505748982300947200035605816257738879551658902948936084415461722208685801023539 (219 digits)
  177. Wed Sep 27 10:33:21 2023 no P-1/P+1/ECM available, skipping
  178. Wed Sep 27 10:33:21 2023 commencing number field sieve (219-digit input)
  179. Wed Sep 27 10:33:21 2023 reversing signs of algebraic polynomial
  180. Wed Sep 27 10:33:21 2023 R0: -1
  181. Wed Sep 27 10:33:21 2023 R1: 23763920701209799288009687306710357251
  182. Wed Sep 27 10:33:21 2023 A0: -29866451
  183. Wed Sep 27 10:33:21 2023 A1: 0
  184. Wed Sep 27 10:33:21 2023 A2: 0
  185. Wed Sep 27 10:33:21 2023 A3: 0
  186. Wed Sep 27 10:33:21 2023 A4: 0
  187. Wed Sep 27 10:33:21 2023 A5: 0
  188. Wed Sep 27 10:33:21 2023 A6: 1
  189. Wed Sep 27 10:33:21 2023 skew 13.85, size 3.176e-12, alpha 1.743, combined = 2.900e-13 rroots = 2
  190. Wed Sep 27 10:33:21 2023
  191. Wed Sep 27 10:33:21 2023 commencing linear algebra
  192. Wed Sep 27 10:33:21 2023 using VBITS=512
  193. Wed Sep 27 10:33:21 2023 reversing signs of algebraic polynomial
  194. Wed Sep 27 10:33:23 2023 read 7796957 cycles
  195. Wed Sep 27 10:33:43 2023 cycles contain 24343121 unique relations
  196. Wed Sep 27 10:36:57 2023 read 24343121 relations
  197. Wed Sep 27 10:37:58 2023 using 20 quadratic characters above 4294917295
  198. Wed Sep 27 10:40:03 2023 building initial matrix
  199. Wed Sep 27 10:46:11 2023 memory use: 3197.3 MB
  200. Wed Sep 27 10:46:16 2023 read 7796957 cycles
  201. Wed Sep 27 10:46:18 2023 matrix is 7796780 x 7796957 (3431.5 MB) with weight 994546961 (127.56/col)
  202. Wed Sep 27 10:46:18 2023 sparse part has weight 813774480 (104.37/col)
  203. Wed Sep 27 10:48:16 2023 filtering completed in 2 passes
  204. Wed Sep 27 10:48:17 2023 matrix is 7796522 x 7796685 (3431.4 MB) with weight 994536503 (127.56/col)
  205. Wed Sep 27 10:48:17 2023 sparse part has weight 813770152 (104.37/col)
  206. Wed Sep 27 10:48:44 2023 matrix starts at (0, 0)
  207. Wed Sep 27 10:48:45 2023 matrix is 7796522 x 7796685 (3431.4 MB) with weight 994536503 (127.56/col)
  208. Wed Sep 27 10:48:45 2023 sparse part has weight 813770152 (104.37/col)
  209. Wed Sep 27 10:48:45 2023 saving the first 496 matrix rows for later
  210. Wed Sep 27 10:48:48 2023 matrix includes 512 packed rows
  211. Wed Sep 27 10:48:55 2023 matrix is 7796026 x 7796685 (3257.1 MB) with weight 702965942 (90.16/col)
  212. Wed Sep 27 10:48:55 2023 sparse part has weight 666720039 (85.51/col)
  213. Wed Sep 27 10:48:55 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  214. Wed Sep 27 10:48:55 2023 selected card has CUDA arch 8.6
  215. Wed Sep 27 10:49:57 2023 commencing Lanczos iteration
  216. Wed Sep 27 10:49:59 2023 memory use: 9072.1 MB
  217. Wed Sep 27 10:50:27 2023 linear algebra at 0.2%, ETA 3h56m
  218. Wed Sep 27 10:50:28 2023 checkpointing every 1970000 dimensions
  219. Wed Sep 27 14:46:05 2023 lanczos halted after 15251 iterations (dim = 7796026)
  220. Wed Sep 27 14:48:21 2023 recovered 36 nontrivial dependencies
  221. Wed Sep 27 14:48:21 2023 BLanczosTime: 15300
  222. Wed Sep 27 14:48:21 2023
  223. Wed Sep 27 14:48:21 2023 commencing square root phase
  224. Wed Sep 27 14:48:21 2023 reversing signs of algebraic polynomial
  225. Wed Sep 27 14:48:21 2023 handling dependencies 1 to 64
  226. Wed Sep 27 14:48:21 2023 reading relations for dependency 1
  227. Wed Sep 27 14:48:23 2023 read 3897175 cycles
  228. Wed Sep 27 14:48:35 2023 cycles contain 12169260 unique relations
  229. Wed Sep 27 14:50:44 2023 read 12169260 relations
  230. Wed Sep 27 14:52:17 2023 multiplying 12169260 relations
  231. Wed Sep 27 15:04:30 2023 multiply complete, coefficients have about 335.13 million bits
  232. Wed Sep 27 15:04:32 2023 initial square root is modulo 1031431
  233. Wed Sep 27 15:17:37 2023 sqrtTime: 1756
  234. Wed Sep 27 15:17:37 2023 p69 factor: 149996310849307396780908428035407106782359117662090242585018002467411
  235. Wed Sep 27 15:17:37 2023 p151 factor: 5005365248636156607454996644896838925725362068550852259159350453869840773973984246261185692086484948577423311816141064198178504782293092386082094796449
  236. Wed Sep 27 15:17:37 2023 elapsed time 04:44:17
  237.  
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