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Sep 25th, 2022
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  1. Sun Sep 25 09:06:53 2022
  2. Sun Sep 25 09:06:53 2022
  3. Sun Sep 25 09:06:53 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Sep 25 09:06:53 2022 random seeds: 83233013 09de0f3c
  5. Sun Sep 25 09:06:53 2022 factoring 451884012331788144581460527586468154237854458475681193459086304248377777784942865230723581800112530075158751289160592262866122017142666065784069429380189014747 (159 digits)
  6. Sun Sep 25 09:06:54 2022 no P-1/P+1/ECM available, skipping
  7. Sun Sep 25 09:06:54 2022 commencing number field sieve (159-digit input)
  8. Sun Sep 25 09:06:54 2022 R0: -5673686288307756859281650620751
  9. Sun Sep 25 09:06:54 2022 R1: 860306446628483
  10. Sun Sep 25 09:06:54 2022 A0: 832964659394601646616403313249070820840
  11. Sun Sep 25 09:06:54 2022 A1: 1762548412266217347882472049088510
  12. Sun Sep 25 09:06:54 2022 A2: -248758194404667099745875097
  13. Sun Sep 25 09:06:54 2022 A3: -27600976152538806935
  14. Sun Sep 25 09:06:54 2022 A4: 1648078040267
  15. Sun Sep 25 09:06:54 2022 A5: 76860
  16. Sun Sep 25 09:06:54 2022 skew 11799329.77, size 1.678e-15, alpha -7.132, combined = 1.531e-12 rroots = 5
  17. Sun Sep 25 09:06:54 2022
  18. Sun Sep 25 09:06:54 2022 commencing relation filtering
  19. Sun Sep 25 09:06:54 2022 setting target matrix density to 120.0
  20. Sun Sep 25 09:06:54 2022 estimated available RAM is 15954.6 MB
  21. Sun Sep 25 09:06:54 2022 commencing duplicate removal, pass 1
  22. Sun Sep 25 09:31:51 2022 found 5124186 hash collisions in 108416647 relations
  23. Sun Sep 25 09:32:41 2022 added 121820 free relations
  24. Sun Sep 25 09:32:41 2022 commencing duplicate removal, pass 2
  25. Sun Sep 25 09:33:50 2022 found 1 duplicates and 108538466 unique relations
  26. Sun Sep 25 09:33:50 2022 memory use: 378.4 MB
  27. Sun Sep 25 09:33:50 2022 reading ideals above 79888384
  28. Sun Sep 25 09:33:50 2022 commencing singleton removal, initial pass
  29. Sun Sep 25 09:56:49 2022 memory use: 2756.0 MB
  30. Sun Sep 25 09:56:49 2022 reading all ideals from disk
  31. Sun Sep 25 09:56:52 2022 memory use: 1798.9 MB
  32. Sun Sep 25 09:57:17 2022 commencing in-memory singleton removal
  33. Sun Sep 25 09:57:41 2022 begin with 108538466 relations and 83022816 unique ideals
  34. Sun Sep 25 10:03:17 2022 reduce to 76463141 relations and 48127182 ideals in 13 passes
  35. Sun Sep 25 10:03:17 2022 max relations containing the same ideal: 48
  36. Sun Sep 25 10:03:35 2022 reading ideals above 720000
  37. Sun Sep 25 10:03:35 2022 commencing singleton removal, initial pass
  38. Sun Sep 25 10:28:25 2022 memory use: 1506.0 MB
  39. Sun Sep 25 10:28:25 2022 reading all ideals from disk
  40. Sun Sep 25 10:28:30 2022 memory use: 2834.7 MB
  41. Sun Sep 25 10:29:11 2022 keeping 57051676 ideals with weight <= 200, target excess is 402158
  42. Sun Sep 25 10:29:58 2022 commencing in-memory singleton removal
  43. Sun Sep 25 10:30:31 2022 begin with 76463141 relations and 57051676 unique ideals
  44. Sun Sep 25 10:35:13 2022 reduce to 76456803 relations and 57045337 ideals in 6 passes
  45. Sun Sep 25 10:35:13 2022 max relations containing the same ideal: 200
  46. Sun Sep 25 10:37:59 2022 removing 8091824 relations and 6091824 ideals in 2000000 cliques
  47. Sun Sep 25 10:38:06 2022 commencing in-memory singleton removal
  48. Sun Sep 25 10:38:38 2022 begin with 68364979 relations and 57045337 unique ideals
  49. Sun Sep 25 10:43:37 2022 reduce to 67698154 relations and 50265319 ideals in 7 passes
  50. Sun Sep 25 10:43:37 2022 max relations containing the same ideal: 193
  51. Sun Sep 25 10:46:05 2022 removing 6414020 relations and 4414020 ideals in 2000000 cliques
  52. Sun Sep 25 10:46:12 2022 commencing in-memory singleton removal
  53. Sun Sep 25 10:46:38 2022 begin with 61284134 relations and 50265319 unique ideals
  54. Sun Sep 25 10:50:50 2022 reduce to 60825096 relations and 45379051 ideals in 7 passes
  55. Sun Sep 25 10:50:50 2022 max relations containing the same ideal: 185
  56. Sun Sep 25 10:52:56 2022 removing 5968087 relations and 3968087 ideals in 2000000 cliques
  57. Sun Sep 25 10:53:03 2022 commencing in-memory singleton removal
  58. Sun Sep 25 10:53:25 2022 begin with 54857009 relations and 45379051 unique ideals
  59. Sun Sep 25 10:57:00 2022 reduce to 54449681 relations and 40991346 ideals in 7 passes
  60. Sun Sep 25 10:57:00 2022 max relations containing the same ideal: 173
  61. Sun Sep 25 10:58:50 2022 removing 5744347 relations and 3744347 ideals in 2000000 cliques
  62. Sun Sep 25 10:58:56 2022 commencing in-memory singleton removal
  63. Sun Sep 25 10:59:15 2022 begin with 48705334 relations and 40991346 unique ideals
  64. Sun Sep 25 11:02:18 2022 reduce to 48310757 relations and 36839575 ideals in 7 passes
  65. Sun Sep 25 11:02:18 2022 max relations containing the same ideal: 159
  66. Sun Sep 25 11:03:53 2022 removing 5606538 relations and 3606538 ideals in 2000000 cliques
  67. Sun Sep 25 11:03:59 2022 commencing in-memory singleton removal
  68. Sun Sep 25 11:04:12 2022 begin with 42704219 relations and 36839575 unique ideals
  69. Sun Sep 25 11:05:54 2022 reduce to 42302101 relations and 32816624 ideals in 6 passes
  70. Sun Sep 25 11:05:54 2022 max relations containing the same ideal: 147
  71. Sun Sep 25 11:06:59 2022 removing 5515739 relations and 3515739 ideals in 2000000 cliques
  72. Sun Sep 25 11:07:04 2022 commencing in-memory singleton removal
  73. Sun Sep 25 11:07:16 2022 begin with 36786362 relations and 32816624 unique ideals
  74. Sun Sep 25 11:09:12 2022 reduce to 36360992 relations and 28858621 ideals in 8 passes
  75. Sun Sep 25 11:09:12 2022 max relations containing the same ideal: 130
  76. Sun Sep 25 11:10:06 2022 removing 5459364 relations and 3459364 ideals in 2000000 cliques
  77. Sun Sep 25 11:10:11 2022 commencing in-memory singleton removal
  78. Sun Sep 25 11:10:21 2022 begin with 30901628 relations and 28858621 unique ideals
  79. Sun Sep 25 11:11:46 2022 reduce to 30435586 relations and 24912131 ideals in 7 passes
  80. Sun Sep 25 11:11:46 2022 max relations containing the same ideal: 116
  81. Sun Sep 25 11:12:32 2022 removing 5425505 relations and 3425505 ideals in 2000000 cliques
  82. Sun Sep 25 11:12:36 2022 commencing in-memory singleton removal
  83. Sun Sep 25 11:12:44 2022 begin with 25010081 relations and 24912131 unique ideals
  84. Sun Sep 25 11:14:01 2022 reduce to 24478961 relations and 20926948 ideals in 8 passes
  85. Sun Sep 25 11:14:01 2022 max relations containing the same ideal: 99
  86. Sun Sep 25 11:14:39 2022 removing 5396143 relations and 3396143 ideals in 2000000 cliques
  87. Sun Sep 25 11:14:43 2022 commencing in-memory singleton removal
  88. Sun Sep 25 11:14:49 2022 begin with 19082818 relations and 20926948 unique ideals
  89. Sun Sep 25 11:15:47 2022 reduce to 18437707 relations and 16842500 ideals in 8 passes
  90. Sun Sep 25 11:15:47 2022 max relations containing the same ideal: 81
  91. Sun Sep 25 11:16:16 2022 removing 3332821 relations and 2204118 ideals in 1128703 cliques
  92. Sun Sep 25 11:16:20 2022 commencing in-memory singleton removal
  93. Sun Sep 25 11:16:24 2022 begin with 15104886 relations and 16842500 unique ideals
  94. Sun Sep 25 11:17:04 2022 reduce to 14709351 relations and 14221480 ideals in 7 passes
  95. Sun Sep 25 11:17:04 2022 max relations containing the same ideal: 70
  96. Sun Sep 25 11:17:26 2022 removing 122893 relations and 101526 ideals in 21367 cliques
  97. Sun Sep 25 11:17:29 2022 commencing in-memory singleton removal
  98. Sun Sep 25 11:17:33 2022 begin with 14586458 relations and 14221480 unique ideals
  99. Sun Sep 25 11:18:01 2022 reduce to 14585711 relations and 14119207 ideals in 5 passes
  100. Sun Sep 25 11:18:01 2022 max relations containing the same ideal: 70
  101. Sun Sep 25 11:18:07 2022 relations with 0 large ideals: 1311
  102. Sun Sep 25 11:18:07 2022 relations with 1 large ideals: 6336
  103. Sun Sep 25 11:18:07 2022 relations with 2 large ideals: 88972
  104. Sun Sep 25 11:18:07 2022 relations with 3 large ideals: 550301
  105. Sun Sep 25 11:18:07 2022 relations with 4 large ideals: 1793206
  106. Sun Sep 25 11:18:07 2022 relations with 5 large ideals: 3405191
  107. Sun Sep 25 11:18:07 2022 relations with 6 large ideals: 4021125
  108. Sun Sep 25 11:18:07 2022 relations with 7+ large ideals: 4719269
  109. Sun Sep 25 11:18:07 2022 commencing 2-way merge
  110. Sun Sep 25 11:18:35 2022 reduce to 9863098 relation sets and 9396594 unique ideals
  111. Sun Sep 25 11:18:35 2022 commencing full merge
  112. Sun Sep 25 11:28:21 2022 memory use: 1207.6 MB
  113. Sun Sep 25 11:28:25 2022 found 4501170 cycles, need 4460794
  114. Sun Sep 25 11:28:28 2022 weight of 4460794 cycles is about 535386421 (120.02/cycle)
  115. Sun Sep 25 11:28:28 2022 distribution of cycle lengths:
  116. Sun Sep 25 11:28:28 2022 1 relations: 104185
  117. Sun Sep 25 11:28:28 2022 2 relations: 238992
  118. Sun Sep 25 11:28:28 2022 3 relations: 311682
  119. Sun Sep 25 11:28:28 2022 4 relations: 342181
  120. Sun Sep 25 11:28:28 2022 5 relations: 368052
  121. Sun Sep 25 11:28:28 2022 6 relations: 372387
  122. Sun Sep 25 11:28:28 2022 7 relations: 365286
  123. Sun Sep 25 11:28:28 2022 8 relations: 345544
  124. Sun Sep 25 11:28:28 2022 9 relations: 320192
  125. Sun Sep 25 11:28:28 2022 10+ relations: 1692293
  126. Sun Sep 25 11:28:28 2022 heaviest cycle: 27 relations
  127. Sun Sep 25 11:28:32 2022 commencing cycle optimization
  128. Sun Sep 25 11:29:08 2022 start with 38647258 relations
  129. Sun Sep 25 11:32:36 2022 pruned 2019015 relations
  130. Sun Sep 25 11:32:36 2022 memory use: 1005.8 MB
  131. Sun Sep 25 11:32:36 2022 distribution of cycle lengths:
  132. Sun Sep 25 11:32:36 2022 1 relations: 104185
  133. Sun Sep 25 11:32:36 2022 2 relations: 246644
  134. Sun Sep 25 11:32:36 2022 3 relations: 327980
  135. Sun Sep 25 11:32:36 2022 4 relations: 360462
  136. Sun Sep 25 11:32:36 2022 5 relations: 391351
  137. Sun Sep 25 11:32:36 2022 6 relations: 395030
  138. Sun Sep 25 11:32:36 2022 7 relations: 388565
  139. Sun Sep 25 11:32:36 2022 8 relations: 365774
  140. Sun Sep 25 11:32:36 2022 9 relations: 335663
  141. Sun Sep 25 11:32:36 2022 10+ relations: 1545140
  142. Sun Sep 25 11:32:36 2022 heaviest cycle: 27 relations
  143. Sun Sep 25 11:32:56 2022 RelProcTime: 8762
  144. Sun Sep 25 11:32:56 2022
  145. Sun Sep 25 11:32:56 2022 commencing linear algebra
  146. Sun Sep 25 11:32:56 2022 using VBITS=256
  147. Sun Sep 25 11:32:57 2022 read 4460794 cycles
  148. Sun Sep 25 11:33:28 2022 cycles contain 14367227 unique relations
  149. Sun Sep 25 11:35:56 2022 read 14367227 relations
  150. Sun Sep 25 11:37:12 2022 using 20 quadratic characters above 4294917295
  151. Sun Sep 25 11:38:35 2022 building initial matrix
  152. Sun Sep 25 11:50:57 2022 memory use: 2004.3 MB
  153. Sun Sep 25 11:51:04 2022 read 4460794 cycles
  154. Sun Sep 25 11:51:06 2022 matrix is 4460616 x 4460794 (2087.8 MB) with weight 640864332 (143.67/col)
  155. Sun Sep 25 11:51:06 2022 sparse part has weight 493773493 (110.69/col)
  156. Sun Sep 25 11:54:25 2022 filtering completed in 2 passes
  157. Sun Sep 25 11:54:27 2022 matrix is 4460499 x 4460673 (2087.8 MB) with weight 640857575 (143.67/col)
  158. Sun Sep 25 11:54:27 2022 sparse part has weight 493770788 (110.69/col)
  159. Sun Sep 25 11:55:04 2022 matrix starts at (0, 0)
  160. Sun Sep 25 11:55:06 2022 matrix is 4460499 x 4460673 (2087.8 MB) with weight 640857575 (143.67/col)
  161. Sun Sep 25 11:55:06 2022 sparse part has weight 493770788 (110.69/col)
  162. Sun Sep 25 11:55:06 2022 saving the first 240 matrix rows for later
  163. Sun Sep 25 11:55:09 2022 matrix includes 256 packed rows
  164. Sun Sep 25 11:55:14 2022 matrix is 4460259 x 4460673 (1860.4 MB) with weight 446357408 (100.07/col)
  165. Sun Sep 25 11:55:14 2022 sparse part has weight 416316311 (93.33/col)
  166. Sun Sep 25 11:55:15 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  167. Sun Sep 25 11:55:15 2022 selected card has CUDA arch 7.5
  168. Sun Sep 25 12:52:32 2022
  169. Sun Sep 25 12:52:32 2022
  170. Sun Sep 25 12:52:32 2022 Msieve v. 1.54 (SVN Unversioned directory)
  171. Sun Sep 25 12:52:32 2022 random seeds: dac7f4c0 5d33b96a
  172. Sun Sep 25 12:52:32 2022 factoring 451884012331788144581460527586468154237854458475681193459086304248377777784942865230723581800112530075158751289160592262866122017142666065784069429380189014747 (159 digits)
  173. Sun Sep 25 12:52:33 2022 no P-1/P+1/ECM available, skipping
  174. Sun Sep 25 12:52:33 2022 commencing number field sieve (159-digit input)
  175. Sun Sep 25 12:52:33 2022 R0: -5673686288307756859281650620751
  176. Sun Sep 25 12:52:33 2022 R1: 860306446628483
  177. Sun Sep 25 12:52:33 2022 A0: 832964659394601646616403313249070820840
  178. Sun Sep 25 12:52:33 2022 A1: 1762548412266217347882472049088510
  179. Sun Sep 25 12:52:33 2022 A2: -248758194404667099745875097
  180. Sun Sep 25 12:52:33 2022 A3: -27600976152538806935
  181. Sun Sep 25 12:52:33 2022 A4: 1648078040267
  182. Sun Sep 25 12:52:33 2022 A5: 76860
  183. Sun Sep 25 12:52:33 2022 skew 11799329.77, size 1.678e-15, alpha -7.132, combined = 1.531e-12 rroots = 5
  184. Sun Sep 25 12:52:33 2022
  185. Sun Sep 25 12:52:33 2022 commencing linear algebra
  186. Sun Sep 25 12:52:33 2022 using VBITS=256
  187. Sun Sep 25 12:52:33 2022 skipping matrix build
  188. Sun Sep 25 12:52:38 2022 matrix starts at (0, 0)
  189. Sun Sep 25 12:52:40 2022 matrix is 4460499 x 4460673 (2087.8 MB) with weight 640857575 (143.67/col)
  190. Sun Sep 25 12:52:40 2022 sparse part has weight 493770788 (110.69/col)
  191. Sun Sep 25 12:52:40 2022 saving the first 240 matrix rows for later
  192. Sun Sep 25 12:52:43 2022 matrix includes 256 packed rows
  193. Sun Sep 25 12:52:48 2022 matrix is 4460259 x 4460673 (1860.4 MB) with weight 446357408 (100.07/col)
  194. Sun Sep 25 12:52:48 2022 sparse part has weight 416316311 (93.33/col)
  195. Sun Sep 25 12:52:48 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  196. Sun Sep 25 12:52:48 2022 selected card has CUDA arch 7.5
  197. Sun Sep 25 12:54:17 2022 commencing Lanczos iteration
  198. Sun Sep 25 12:54:17 2022 memory use: 4299.3 MB
  199. Sun Sep 25 12:54:41 2022 linear algebra at 0.2%, ETA 3h43m
  200. Sun Sep 25 12:54:42 2022 checkpointing every 1190000 dimensions
  201. Sun Sep 25 16:30:39 2022 lanczos halted after 17476 iterations (dim = 4460259)
  202. Sun Sep 25 16:31:32 2022 recovered 31 nontrivial dependencies
  203. Sun Sep 25 16:31:32 2022 BLanczosTime: 13139
  204. Sun Sep 25 16:31:32 2022
  205. Sun Sep 25 16:31:32 2022 commencing square root phase
  206. Sun Sep 25 16:31:32 2022 handling dependencies 1 to 64
  207. Sun Sep 25 16:31:32 2022 reading relations for dependency 1
  208. Sun Sep 25 16:31:33 2022 read 2230589 cycles
  209. Sun Sep 25 16:31:48 2022 cycles contain 7183620 unique relations
  210. Sun Sep 25 16:33:14 2022 read 7183620 relations
  211. Sun Sep 25 16:35:10 2022 multiplying 7183620 relations
  212. Sun Sep 25 16:51:06 2022 multiply complete, coefficients have about 379.65 million bits
  213. Sun Sep 25 16:51:11 2022 initial square root is modulo 6489271
  214. Sun Sep 25 17:11:11 2022 GCD is N, no factor found
  215. Sun Sep 25 17:11:11 2022 reading relations for dependency 2
  216. Sun Sep 25 17:11:13 2022 read 2229604 cycles
  217. Sun Sep 25 17:11:26 2022 cycles contain 7182680 unique relations
  218. Sun Sep 25 17:12:49 2022 read 7182680 relations
  219. Sun Sep 25 17:14:36 2022 multiplying 7182680 relations
  220. Sun Sep 25 17:30:35 2022 multiply complete, coefficients have about 379.60 million bits
  221. Sun Sep 25 17:30:40 2022 initial square root is modulo 6476681
  222. Sun Sep 25 17:50:47 2022 sqrtTime: 4755
  223. Sun Sep 25 17:50:47 2022 p66 factor: 147583839348189263549125242920619297725039419664209903427729673421
  224. Sun Sep 25 17:50:47 2022 p94 factor: 3061880042744208513390076846592545724645086585955419042424146403164397862541040026918271284807
  225. Sun Sep 25 17:50:47 2022 elapsed time 04:58:15
  226.  
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