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Dec 31st, 2022
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  1. Sat Dec 31 17:38:46 2022
  2. Sat Dec 31 17:38:46 2022
  3. Sat Dec 31 17:38:46 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Dec 31 17:38:46 2022 random seeds: 3eee0b8e bf49142e
  5. Sat Dec 31 17:38:46 2022 factoring 1358102906674981732313840931898943349930581717392737351261611663608542204538734498539395450194180013586883564980515359164905944128392416367539260500231240298639904260523567278931256575864794552203933 (199 digits)
  6. Sat Dec 31 17:38:47 2022 no P-1/P+1/ECM available, skipping
  7. Sat Dec 31 17:38:47 2022 commencing number field sieve (199-digit input)
  8. Sat Dec 31 17:38:47 2022 R0: 1863043168564003712306482328187722812322
  9. Sat Dec 31 17:38:47 2022 R1: -43162983777352599889
  10. Sat Dec 31 17:38:47 2022 A0: -1
  11. Sat Dec 31 17:38:47 2022 A1: 3
  12. Sat Dec 31 17:38:47 2022 A2: 6
  13. Sat Dec 31 17:38:47 2022 A3: -4
  14. Sat Dec 31 17:38:47 2022 A4: -5
  15. Sat Dec 31 17:38:47 2022 A5: 1
  16. Sat Dec 31 17:38:47 2022 A6: 1
  17. Sat Dec 31 17:38:47 2022 skew 1.00, size 1.357e-11, alpha 3.126, combined = 7.798e-13 rroots = 6
  18. Sat Dec 31 17:38:47 2022
  19. Sat Dec 31 17:38:47 2022 commencing relation filtering
  20. Sat Dec 31 17:38:47 2022 setting target matrix density to 112.0
  21. Sat Dec 31 17:38:47 2022 estimated available RAM is 15960.0 MB
  22. Sat Dec 31 17:38:47 2022 commencing duplicate removal, pass 1
  23. Sat Dec 31 17:51:30 2022 skipped 12 relations with b > 2^32
  24. Sat Dec 31 17:51:30 2022 found 4363942 hash collisions in 99801215 relations
  25. Sat Dec 31 17:51:38 2022 added 2438358 free relations
  26. Sat Dec 31 17:51:38 2022 commencing duplicate removal, pass 2
  27. Sat Dec 31 17:52:07 2022 found 0 duplicates and 102239573 unique relations
  28. Sat Dec 31 17:52:07 2022 memory use: 261.2 MB
  29. Sat Dec 31 17:52:07 2022 reading ideals above 72155136
  30. Sat Dec 31 17:52:07 2022 commencing singleton removal, initial pass
  31. Sat Dec 31 18:02:40 2022 memory use: 2756.0 MB
  32. Sat Dec 31 18:02:40 2022 reading all ideals from disk
  33. Sat Dec 31 18:02:43 2022 memory use: 1939.8 MB
  34. Sat Dec 31 18:02:48 2022 commencing in-memory singleton removal
  35. Sat Dec 31 18:02:52 2022 begin with 102239573 relations and 84356185 unique ideals
  36. Sat Dec 31 18:03:34 2022 reduce to 69705149 relations and 48737624 ideals in 12 passes
  37. Sat Dec 31 18:03:34 2022 max relations containing the same ideal: 42
  38. Sat Dec 31 18:03:38 2022 reading ideals above 720000
  39. Sat Dec 31 18:03:38 2022 commencing singleton removal, initial pass
  40. Sat Dec 31 18:13:01 2022 memory use: 1506.0 MB
  41. Sat Dec 31 18:13:02 2022 reading all ideals from disk
  42. Sat Dec 31 18:13:13 2022 memory use: 2652.7 MB
  43. Sat Dec 31 18:13:20 2022 keeping 56857008 ideals with weight <= 200, target excess is 355135
  44. Sat Dec 31 18:13:27 2022 commencing in-memory singleton removal
  45. Sat Dec 31 18:13:33 2022 begin with 69705149 relations and 56857008 unique ideals
  46. Sat Dec 31 18:13:54 2022 reduce to 69705007 relations and 56856866 ideals in 4 passes
  47. Sat Dec 31 18:13:54 2022 max relations containing the same ideal: 200
  48. Sat Dec 31 18:14:28 2022 removing 8607021 relations and 6607021 ideals in 2000000 cliques
  49. Sat Dec 31 18:14:30 2022 commencing in-memory singleton removal
  50. Sat Dec 31 18:14:36 2022 begin with 61097986 relations and 56856866 unique ideals
  51. Sat Dec 31 18:15:14 2022 reduce to 60156163 relations and 49274060 ideals in 8 passes
  52. Sat Dec 31 18:15:14 2022 max relations containing the same ideal: 192
  53. Sat Dec 31 18:15:44 2022 removing 7006926 relations and 5006926 ideals in 2000000 cliques
  54. Sat Dec 31 18:15:47 2022 commencing in-memory singleton removal
  55. Sat Dec 31 18:15:51 2022 begin with 53149237 relations and 49274060 unique ideals
  56. Sat Dec 31 18:16:25 2022 reduce to 52470437 relations and 43565661 ideals in 8 passes
  57. Sat Dec 31 18:16:25 2022 max relations containing the same ideal: 176
  58. Sat Dec 31 18:16:51 2022 removing 6536788 relations and 4536788 ideals in 2000000 cliques
  59. Sat Dec 31 18:16:54 2022 commencing in-memory singleton removal
  60. Sat Dec 31 18:16:57 2022 begin with 45933649 relations and 43565661 unique ideals
  61. Sat Dec 31 18:17:22 2022 reduce to 45291921 relations and 38363690 ideals in 8 passes
  62. Sat Dec 31 18:17:22 2022 max relations containing the same ideal: 162
  63. Sat Dec 31 18:17:43 2022 removing 6316320 relations and 4316320 ideals in 2000000 cliques
  64. Sat Dec 31 18:17:45 2022 commencing in-memory singleton removal
  65. Sat Dec 31 18:17:48 2022 begin with 38975601 relations and 38363690 unique ideals
  66. Sat Dec 31 18:18:09 2022 reduce to 38318272 relations and 33363272 ideals in 8 passes
  67. Sat Dec 31 18:18:09 2022 max relations containing the same ideal: 147
  68. Sat Dec 31 18:18:27 2022 removing 6189901 relations and 4189901 ideals in 2000000 cliques
  69. Sat Dec 31 18:18:29 2022 commencing in-memory singleton removal
  70. Sat Dec 31 18:18:32 2022 begin with 32128371 relations and 33363272 unique ideals
  71. Sat Dec 31 18:18:54 2022 reduce to 31417245 relations and 28428564 ideals in 10 passes
  72. Sat Dec 31 18:18:54 2022 max relations containing the same ideal: 126
  73. Sat Dec 31 18:19:10 2022 removing 6104105 relations and 4104105 ideals in 2000000 cliques
  74. Sat Dec 31 18:19:12 2022 commencing in-memory singleton removal
  75. Sat Dec 31 18:19:14 2022 begin with 25313140 relations and 28428564 unique ideals
  76. Sat Dec 31 18:19:29 2022 reduce to 24492510 relations and 23457103 ideals in 9 passes
  77. Sat Dec 31 18:19:29 2022 max relations containing the same ideal: 108
  78. Sat Dec 31 18:19:41 2022 removing 2401397 relations and 1777947 ideals in 623450 cliques
  79. Sat Dec 31 18:19:42 2022 commencing in-memory singleton removal
  80. Sat Dec 31 18:19:44 2022 begin with 22091113 relations and 23457103 unique ideals
  81. Sat Dec 31 18:19:53 2022 reduce to 21912766 relations and 21496588 ideals in 7 passes
  82. Sat Dec 31 18:19:53 2022 max relations containing the same ideal: 99
  83. Sat Dec 31 18:20:08 2022 relations with 0 large ideals: 26481
  84. Sat Dec 31 18:20:08 2022 relations with 1 large ideals: 5608
  85. Sat Dec 31 18:20:08 2022 relations with 2 large ideals: 42740
  86. Sat Dec 31 18:20:08 2022 relations with 3 large ideals: 325349
  87. Sat Dec 31 18:20:08 2022 relations with 4 large ideals: 1366540
  88. Sat Dec 31 18:20:08 2022 relations with 5 large ideals: 3442630
  89. Sat Dec 31 18:20:08 2022 relations with 6 large ideals: 5435511
  90. Sat Dec 31 18:20:08 2022 relations with 7+ large ideals: 11267907
  91. Sat Dec 31 18:20:08 2022 commencing 2-way merge
  92. Sat Dec 31 18:20:22 2022 reduce to 14811321 relation sets and 14395143 unique ideals
  93. Sat Dec 31 18:20:22 2022 commencing full merge
  94. Sat Dec 31 18:26:50 2022 memory use: 2011.9 MB
  95. Sat Dec 31 18:26:51 2022 found 6784660 cycles, need 6773343
  96. Sat Dec 31 18:26:54 2022 weight of 6773343 cycles is about 758798278 (112.03/cycle)
  97. Sat Dec 31 18:26:54 2022 distribution of cycle lengths:
  98. Sat Dec 31 18:26:54 2022 1 relations: 303224
  99. Sat Dec 31 18:26:54 2022 2 relations: 416739
  100. Sat Dec 31 18:26:54 2022 3 relations: 493564
  101. Sat Dec 31 18:26:54 2022 4 relations: 511774
  102. Sat Dec 31 18:26:54 2022 5 relations: 523164
  103. Sat Dec 31 18:26:54 2022 6 relations: 512811
  104. Sat Dec 31 18:26:54 2022 7 relations: 497128
  105. Sat Dec 31 18:26:54 2022 8 relations: 470429
  106. Sat Dec 31 18:26:54 2022 9 relations: 439179
  107. Sat Dec 31 18:26:54 2022 10+ relations: 2605331
  108. Sat Dec 31 18:26:54 2022 heaviest cycle: 28 relations
  109. Sat Dec 31 18:26:56 2022 commencing cycle optimization
  110. Sat Dec 31 18:27:09 2022 start with 58975506 relations
  111. Sat Dec 31 18:29:43 2022 pruned 2775565 relations
  112. Sat Dec 31 18:29:43 2022 memory use: 1522.0 MB
  113. Sat Dec 31 18:29:43 2022 distribution of cycle lengths:
  114. Sat Dec 31 18:29:43 2022 1 relations: 303224
  115. Sat Dec 31 18:29:43 2022 2 relations: 426465
  116. Sat Dec 31 18:29:43 2022 3 relations: 513851
  117. Sat Dec 31 18:29:43 2022 4 relations: 533510
  118. Sat Dec 31 18:29:43 2022 5 relations: 550051
  119. Sat Dec 31 18:29:43 2022 6 relations: 537976
  120. Sat Dec 31 18:29:43 2022 7 relations: 523160
  121. Sat Dec 31 18:29:43 2022 8 relations: 493707
  122. Sat Dec 31 18:29:43 2022 9 relations: 459321
  123. Sat Dec 31 18:29:43 2022 10+ relations: 2432078
  124. Sat Dec 31 18:29:43 2022 heaviest cycle: 28 relations
  125. Sat Dec 31 18:29:58 2022 RelProcTime: 3071
  126. Sat Dec 31 18:29:58 2022
  127. Sat Dec 31 18:29:58 2022 commencing linear algebra
  128. Sat Dec 31 18:29:58 2022 using VBITS=512
  129. Sat Dec 31 18:29:58 2022 read 6773343 cycles
  130. Sat Dec 31 18:30:14 2022 cycles contain 21669562 unique relations
  131. Sat Dec 31 18:32:07 2022 read 21669562 relations
  132. Sat Dec 31 18:32:53 2022 using 20 quadratic characters above 4294917295
  133. Sat Dec 31 18:34:23 2022 building initial matrix
  134. Sat Dec 31 18:39:10 2022 memory use: 2686.0 MB
  135. Sat Dec 31 18:39:13 2022 read 6773343 cycles
  136. Sat Dec 31 18:39:14 2022 matrix is 6773166 x 6773343 (2963.5 MB) with weight 840381877 (124.07/col)
  137. Sat Dec 31 18:39:14 2022 sparse part has weight 709138311 (104.70/col)
  138. Sat Dec 31 18:40:42 2022 filtering completed in 2 passes
  139. Sat Dec 31 18:40:44 2022 matrix is 6773100 x 6773242 (2963.5 MB) with weight 840379390 (124.07/col)
  140. Sat Dec 31 18:40:44 2022 sparse part has weight 709137592 (104.70/col)
  141. Sat Dec 31 18:41:05 2022 matrix starts at (0, 0)
  142. Sat Dec 31 18:41:06 2022 matrix is 6773100 x 6773242 (2963.5 MB) with weight 840379390 (124.07/col)
  143. Sat Dec 31 18:41:06 2022 sparse part has weight 709137592 (104.70/col)
  144. Sat Dec 31 18:41:06 2022 saving the first 496 matrix rows for later
  145. Sat Dec 31 18:41:08 2022 matrix includes 512 packed rows
  146. Sat Dec 31 18:41:13 2022 matrix is 6772604 x 6773242 (2817.4 MB) with weight 609032796 (89.92/col)
  147. Sat Dec 31 18:41:13 2022 sparse part has weight 576009776 (85.04/col)
  148. Sat Dec 31 18:41:13 2022 using GPU 0 (NVIDIA GeForce RTX 3060)
  149. Sat Dec 31 18:41:13 2022 selected card has CUDA arch 8.6
  150. Sat Dec 31 18:42:08 2022
  151. Sat Dec 31 18:42:08 2022
  152. Sat Dec 31 18:42:08 2022 Msieve v. 1.54 (SVN Unversioned directory)
  153. Sat Dec 31 18:42:08 2022 random seeds: d2dabbd5 6adf806a
  154. Sat Dec 31 18:42:08 2022 factoring 1358102906674981732313840931898943349930581717392737351261611663608542204538734498539395450194180013586883564980515359164905944128392416367539260500231240298639904260523567278931256575864794552203933 (199 digits)
  155. Sat Dec 31 18:42:09 2022 no P-1/P+1/ECM available, skipping
  156. Sat Dec 31 18:42:09 2022 commencing number field sieve (199-digit input)
  157. Sat Dec 31 18:42:09 2022 R0: 1863043168564003712306482328187722812322
  158. Sat Dec 31 18:42:09 2022 R1: -43162983777352599889
  159. Sat Dec 31 18:42:09 2022 A0: -1
  160. Sat Dec 31 18:42:09 2022 A1: 3
  161. Sat Dec 31 18:42:09 2022 A2: 6
  162. Sat Dec 31 18:42:09 2022 A3: -4
  163. Sat Dec 31 18:42:09 2022 A4: -5
  164. Sat Dec 31 18:42:09 2022 A5: 1
  165. Sat Dec 31 18:42:09 2022 A6: 1
  166. Sat Dec 31 18:42:09 2022 skew 1.00, size 1.357e-11, alpha 3.126, combined = 7.798e-13 rroots = 6
  167. Sat Dec 31 18:42:09 2022
  168. Sat Dec 31 18:42:09 2022 commencing linear algebra
  169. Sat Dec 31 18:42:09 2022 using VBITS=512
  170. Sat Dec 31 18:42:09 2022 skipping matrix build
  171. Sat Dec 31 18:42:16 2022 matrix starts at (0, 0)
  172. Sat Dec 31 18:42:17 2022 matrix is 6773100 x 6773242 (2963.5 MB) with weight 840379390 (124.07/col)
  173. Sat Dec 31 18:42:17 2022 sparse part has weight 709137592 (104.70/col)
  174. Sat Dec 31 18:42:17 2022 saving the first 496 matrix rows for later
  175. Sat Dec 31 18:42:19 2022 matrix includes 512 packed rows
  176. Sat Dec 31 18:42:24 2022 matrix is 6772604 x 6773242 (2817.4 MB) with weight 609032796 (89.92/col)
  177. Sat Dec 31 18:42:24 2022 sparse part has weight 576009776 (85.04/col)
  178. Sat Dec 31 18:42:24 2022 using GPU 0 (NVIDIA GeForce RTX 3060)
  179. Sat Dec 31 18:42:24 2022 selected card has CUDA arch 8.6
  180. Sat Dec 31 18:42:49 2022
  181. Sat Dec 31 18:42:49 2022
  182. Sat Dec 31 18:42:49 2022 Msieve v. 1.54 (SVN Unversioned directory)
  183. Sat Dec 31 18:42:49 2022 random seeds: 17b6d135 d77062f7
  184. Sat Dec 31 18:42:49 2022 factoring 1358102906674981732313840931898943349930581717392737351261611663608542204538734498539395450194180013586883564980515359164905944128392416367539260500231240298639904260523567278931256575864794552203933 (199 digits)
  185. Sat Dec 31 18:42:50 2022 no P-1/P+1/ECM available, skipping
  186. Sat Dec 31 18:42:50 2022 commencing number field sieve (199-digit input)
  187. Sat Dec 31 18:42:50 2022 R0: 1863043168564003712306482328187722812322
  188. Sat Dec 31 18:42:50 2022 R1: -43162983777352599889
  189. Sat Dec 31 18:42:50 2022 A0: -1
  190. Sat Dec 31 18:42:50 2022 A1: 3
  191. Sat Dec 31 18:42:50 2022 A2: 6
  192. Sat Dec 31 18:42:50 2022 A3: -4
  193. Sat Dec 31 18:42:50 2022 A4: -5
  194. Sat Dec 31 18:42:50 2022 A5: 1
  195. Sat Dec 31 18:42:50 2022 A6: 1
  196. Sat Dec 31 18:42:50 2022 skew 1.00, size 1.357e-11, alpha 3.126, combined = 7.798e-13 rroots = 6
  197. Sat Dec 31 18:42:50 2022
  198. Sat Dec 31 18:42:50 2022 commencing linear algebra
  199. Sat Dec 31 18:42:50 2022 using VBITS=512
  200. Sat Dec 31 18:42:50 2022 skipping matrix build
  201. Sat Dec 31 18:42:57 2022 matrix starts at (0, 0)
  202. Sat Dec 31 18:42:58 2022 matrix is 6773100 x 6773242 (2963.5 MB) with weight 840379390 (124.07/col)
  203. Sat Dec 31 18:42:58 2022 sparse part has weight 709137592 (104.70/col)
  204. Sat Dec 31 18:42:58 2022 saving the first 496 matrix rows for later
  205. Sat Dec 31 18:43:00 2022 matrix includes 512 packed rows
  206. Sat Dec 31 18:43:05 2022 matrix is 6772604 x 6773242 (2817.4 MB) with weight 609032796 (89.92/col)
  207. Sat Dec 31 18:43:05 2022 sparse part has weight 576009776 (85.04/col)
  208. Sat Dec 31 18:43:05 2022 using GPU 0 (NVIDIA GeForce RTX 3060)
  209. Sat Dec 31 18:43:05 2022 selected card has CUDA arch 8.6
  210. Sat Dec 31 18:44:08 2022 commencing Lanczos iteration
  211. Sat Dec 31 18:44:09 2022 memory use: 8322.0 MB
  212. Sat Dec 31 18:44:34 2022 linear algebra at 0.2%, ETA 2h56m
  213. Sat Dec 31 18:44:35 2022 checkpointing every 2290000 dimensions
  214. Sat Dec 31 21:44:25 2022 lanczos halted after 13249 iterations (dim = 6772602)
  215. Sat Dec 31 21:45:41 2022 recovered 35 nontrivial dependencies
  216. Sat Dec 31 21:45:42 2022 BLanczosTime: 10972
  217. Sat Dec 31 21:45:42 2022
  218. Sat Dec 31 21:45:42 2022 commencing square root phase
  219. Sat Dec 31 21:45:42 2022 handling dependencies 1 to 64
  220. Sat Dec 31 21:45:42 2022 reading relations for dependency 1
  221. Sat Dec 31 21:45:43 2022 read 3385657 cycles
  222. Sat Dec 31 21:45:48 2022 cycles contain 10833808 unique relations
  223. Sat Dec 31 21:46:51 2022 read 10833808 relations
  224. Sat Dec 31 21:47:32 2022 multiplying 10833808 relations
  225. Sat Dec 31 21:53:44 2022 multiply complete, coefficients have about 266.04 million bits
  226. Sat Dec 31 21:53:46 2022 initial square root is modulo 59399
  227. Sat Dec 31 22:00:44 2022 GCD is 1, no factor found
  228. Sat Dec 31 22:00:44 2022 reading relations for dependency 2
  229. Sat Dec 31 22:00:45 2022 read 3388402 cycles
  230. Sat Dec 31 22:00:51 2022 cycles contain 10840046 unique relations
  231. Sat Dec 31 22:01:53 2022 read 10840046 relations
  232. Sat Dec 31 22:02:42 2022 multiplying 10840046 relations
  233. Sat Dec 31 22:08:55 2022 multiply complete, coefficients have about 266.19 million bits
  234. Sat Dec 31 22:08:56 2022 initial square root is modulo 59833
  235. Sat Dec 31 22:15:54 2022 sqrtTime: 1812
  236. Sat Dec 31 22:15:54 2022 p65 factor: 90033494182830681598086072612738202454393675138303421519733844213
  237. Sat Dec 31 22:15:54 2022 p134 factor: 15084418515592510644952560261017112299823592609091120667599298744394212622649627557861651553248708252430454355862299610921074938962441
  238. Sat Dec 31 22:15:54 2022 elapsed time 03:33:05
  239.  
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