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Nov 18th, 2024
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  1. Mon Nov 18 14:26:30 2024
  2. Mon Nov 18 14:26:30 2024
  3. Mon Nov 18 14:26:30 2024 Msieve v. 1.54 (SVN unknown)
  4. Mon Nov 18 14:26:30 2024 random seeds: 7e079691 cad886d0
  5. Mon Nov 18 14:26:30 2024 factoring 906779802206534187821561760193840386536317061763636432875923024481902152501670942959820319024313804657075374501855954008816450070866682075999991787921783532804302831648014115564328579049121950090649522063 (204 digits)
  6. Mon Nov 18 14:26:31 2024 no P-1/P+1/ECM available, skipping
  7. Mon Nov 18 14:26:31 2024 commencing number field sieve (204-digit input)
  8. Mon Nov 18 14:26:31 2024 R0: 1069430454803079686658187889236889125867
  9. Mon Nov 18 14:26:31 2024 R1: -1
  10. Mon Nov 18 14:26:31 2024 A0: 1
  11. Mon Nov 18 14:26:31 2024 A1: 1
  12. Mon Nov 18 14:26:31 2024 A2: 1
  13. Mon Nov 18 14:26:31 2024 A3: 1
  14. Mon Nov 18 14:26:31 2024 A4: 1
  15. Mon Nov 18 14:26:31 2024 A5: 1
  16. Mon Nov 18 14:26:31 2024 A6: 1
  17. Mon Nov 18 14:26:31 2024 skew 1.35, size 1.373e-11, alpha 2.428, combined = 8.081e-13 rroots = 0
  18. Mon Nov 18 14:26:31 2024
  19. Mon Nov 18 14:26:31 2024 commencing relation filtering
  20. Mon Nov 18 14:26:31 2024 setting target matrix density to 112.0
  21. Mon Nov 18 14:26:31 2024 estimated available RAM is 15954.4 MB
  22. Mon Nov 18 14:26:31 2024 commencing duplicate removal, pass 1
  23. Mon Nov 18 14:49:25 2024 skipped 12 relations with b > 2^32
  24. Mon Nov 18 14:49:25 2024 skipped 4 relations with composite factors
  25. Mon Nov 18 14:49:25 2024 found 8257235 hash collisions in 138885395 relations
  26. Mon Nov 18 14:49:37 2024 added 2438534 free relations
  27. Mon Nov 18 14:49:37 2024 commencing duplicate removal, pass 2
  28. Mon Nov 18 14:50:41 2024 found 0 duplicates and 141323929 unique relations
  29. Mon Nov 18 14:50:41 2024 memory use: 394.4 MB
  30. Mon Nov 18 14:50:41 2024 reading ideals above 95879168
  31. Mon Nov 18 14:50:41 2024 commencing singleton removal, initial pass
  32. Mon Nov 18 15:08:51 2024 memory use: 3012.0 MB
  33. Mon Nov 18 15:08:52 2024 reading all ideals from disk
  34. Mon Nov 18 15:08:56 2024 memory use: 2474.5 MB
  35. Mon Nov 18 15:09:04 2024 commencing in-memory singleton removal
  36. Mon Nov 18 15:09:12 2024 begin with 141323929 relations and 116602540 unique ideals
  37. Mon Nov 18 15:10:45 2024 reduce to 91368205 relations and 61652430 ideals in 13 passes
  38. Mon Nov 18 15:10:45 2024 max relations containing the same ideal: 42
  39. Mon Nov 18 15:10:55 2024 reading ideals above 720000
  40. Mon Nov 18 15:10:55 2024 commencing singleton removal, initial pass
  41. Mon Nov 18 15:27:23 2024 memory use: 1506.0 MB
  42. Mon Nov 18 15:27:23 2024 reading all ideals from disk
  43. Mon Nov 18 15:27:30 2024 memory use: 3482.0 MB
  44. Mon Nov 18 15:27:46 2024 keeping 72263758 ideals with weight <= 200, target excess is 462560
  45. Mon Nov 18 15:28:06 2024 commencing in-memory singleton removal
  46. Mon Nov 18 15:28:18 2024 begin with 91368205 relations and 72263758 unique ideals
  47. Mon Nov 18 15:28:55 2024 reduce to 91367706 relations and 72263257 ideals in 4 passes
  48. Mon Nov 18 15:28:55 2024 max relations containing the same ideal: 200
  49. Mon Nov 18 15:29:53 2024 removing 9226625 relations and 7226625 ideals in 2000000 cliques
  50. Mon Nov 18 15:29:59 2024 commencing in-memory singleton removal
  51. Mon Nov 18 15:30:09 2024 begin with 82141081 relations and 72263257 unique ideals
  52. Mon Nov 18 15:31:22 2024 reduce to 81366838 relations and 64240981 ideals in 9 passes
  53. Mon Nov 18 15:31:22 2024 max relations containing the same ideal: 195
  54. Mon Nov 18 15:32:10 2024 removing 7301867 relations and 5301867 ideals in 2000000 cliques
  55. Mon Nov 18 15:32:16 2024 commencing in-memory singleton removal
  56. Mon Nov 18 15:32:25 2024 begin with 74064971 relations and 64240981 unique ideals
  57. Mon Nov 18 15:33:24 2024 reduce to 73525253 relations and 58385834 ideals in 8 passes
  58. Mon Nov 18 15:33:24 2024 max relations containing the same ideal: 183
  59. Mon Nov 18 15:34:04 2024 removing 6754452 relations and 4754452 ideals in 2000000 cliques
  60. Mon Nov 18 15:34:07 2024 commencing in-memory singleton removal
  61. Mon Nov 18 15:34:12 2024 begin with 66770801 relations and 58385834 unique ideals
  62. Mon Nov 18 15:34:42 2024 reduce to 66277934 relations and 53125534 ideals in 7 passes
  63. Mon Nov 18 15:34:42 2024 max relations containing the same ideal: 176
  64. Mon Nov 18 15:35:08 2024 removing 6490187 relations and 4490187 ideals in 2000000 cliques
  65. Mon Nov 18 15:35:11 2024 commencing in-memory singleton removal
  66. Mon Nov 18 15:35:15 2024 begin with 59787747 relations and 53125534 unique ideals
  67. Mon Nov 18 15:35:42 2024 reduce to 59299351 relations and 48133300 ideals in 7 passes
  68. Mon Nov 18 15:35:42 2024 max relations containing the same ideal: 160
  69. Mon Nov 18 15:36:20 2024 removing 6338122 relations and 4338122 ideals in 2000000 cliques
  70. Mon Nov 18 15:36:24 2024 commencing in-memory singleton removal
  71. Mon Nov 18 15:36:29 2024 begin with 52961229 relations and 48133300 unique ideals
  72. Mon Nov 18 15:37:11 2024 reduce to 52455288 relations and 43273659 ideals in 8 passes
  73. Mon Nov 18 15:37:11 2024 max relations containing the same ideal: 152
  74. Mon Nov 18 15:37:41 2024 removing 6252096 relations and 4252096 ideals in 2000000 cliques
  75. Mon Nov 18 15:37:45 2024 commencing in-memory singleton removal
  76. Mon Nov 18 15:37:50 2024 begin with 46203192 relations and 43273659 unique ideals
  77. Mon Nov 18 15:38:21 2024 reduce to 45661939 relations and 38461814 ideals in 7 passes
  78. Mon Nov 18 15:38:21 2024 max relations containing the same ideal: 137
  79. Mon Nov 18 15:38:51 2024 removing 6209793 relations and 4209793 ideals in 2000000 cliques
  80. Mon Nov 18 15:38:55 2024 commencing in-memory singleton removal
  81. Mon Nov 18 15:39:00 2024 begin with 39452146 relations and 38461814 unique ideals
  82. Mon Nov 18 15:39:29 2024 reduce to 38855097 relations and 33631414 ideals in 7 passes
  83. Mon Nov 18 15:39:29 2024 max relations containing the same ideal: 125
  84. Mon Nov 18 15:39:56 2024 removing 6190050 relations and 4190050 ideals in 2000000 cliques
  85. Mon Nov 18 15:39:59 2024 commencing in-memory singleton removal
  86. Mon Nov 18 15:40:02 2024 begin with 32665047 relations and 33631414 unique ideals
  87. Mon Nov 18 15:40:26 2024 reduce to 31986082 relations and 28731384 ideals in 8 passes
  88. Mon Nov 18 15:40:26 2024 max relations containing the same ideal: 111
  89. Mon Nov 18 15:40:46 2024 removing 6181609 relations and 4181609 ideals in 2000000 cliques
  90. Mon Nov 18 15:40:48 2024 commencing in-memory singleton removal
  91. Mon Nov 18 15:40:51 2024 begin with 25804473 relations and 28731384 unique ideals
  92. Mon Nov 18 15:41:12 2024 reduce to 24999414 relations and 23699903 ideals in 9 passes
  93. Mon Nov 18 15:41:12 2024 max relations containing the same ideal: 96
  94. Mon Nov 18 15:41:28 2024 removing 2861950 relations and 2099009 ideals in 762941 cliques
  95. Mon Nov 18 15:41:30 2024 commencing in-memory singleton removal
  96. Mon Nov 18 15:41:32 2024 begin with 22137464 relations and 23699903 unique ideals
  97. Mon Nov 18 15:41:47 2024 reduce to 21896733 relations and 21353479 ideals in 7 passes
  98. Mon Nov 18 15:41:47 2024 max relations containing the same ideal: 90
  99. Mon Nov 18 15:42:05 2024 relations with 0 large ideals: 34391
  100. Mon Nov 18 15:42:05 2024 relations with 1 large ideals: 9178
  101. Mon Nov 18 15:42:05 2024 relations with 2 large ideals: 79612
  102. Mon Nov 18 15:42:05 2024 relations with 3 large ideals: 538592
  103. Mon Nov 18 15:42:05 2024 relations with 4 large ideals: 1969933
  104. Mon Nov 18 15:42:05 2024 relations with 5 large ideals: 4280435
  105. Mon Nov 18 15:42:05 2024 relations with 6 large ideals: 5776446
  106. Mon Nov 18 15:42:05 2024 relations with 7+ large ideals: 9208146
  107. Mon Nov 18 15:42:05 2024 commencing 2-way merge
  108. Mon Nov 18 15:42:23 2024 reduce to 14422004 relation sets and 13878750 unique ideals
  109. Mon Nov 18 15:42:23 2024 commencing full merge
  110. Mon Nov 18 15:50:26 2024 memory use: 1957.3 MB
  111. Mon Nov 18 15:50:29 2024 found 6652724 cycles, need 6624950
  112. Mon Nov 18 15:50:32 2024 weight of 6624950 cycles is about 742171930 (112.03/cycle)
  113. Mon Nov 18 15:50:32 2024 distribution of cycle lengths:
  114. Mon Nov 18 15:50:32 2024 1 relations: 295495
  115. Mon Nov 18 15:50:32 2024 2 relations: 400350
  116. Mon Nov 18 15:50:32 2024 3 relations: 470866
  117. Mon Nov 18 15:50:32 2024 4 relations: 489460
  118. Mon Nov 18 15:50:32 2024 5 relations: 505620
  119. Mon Nov 18 15:50:32 2024 6 relations: 499039
  120. Mon Nov 18 15:50:32 2024 7 relations: 486844
  121. Mon Nov 18 15:50:32 2024 8 relations: 463523
  122. Mon Nov 18 15:50:32 2024 9 relations: 432837
  123. Mon Nov 18 15:50:32 2024 10+ relations: 2580916
  124. Mon Nov 18 15:50:32 2024 heaviest cycle: 28 relations
  125. Mon Nov 18 15:50:36 2024 commencing cycle optimization
  126. Mon Nov 18 15:50:55 2024 start with 57931703 relations
  127. Mon Nov 18 15:54:02 2024 pruned 2655218 relations
  128. Mon Nov 18 15:54:02 2024 memory use: 1506.8 MB
  129. Mon Nov 18 15:54:02 2024 distribution of cycle lengths:
  130. Mon Nov 18 15:54:02 2024 1 relations: 295495
  131. Mon Nov 18 15:54:02 2024 2 relations: 409064
  132. Mon Nov 18 15:54:02 2024 3 relations: 489411
  133. Mon Nov 18 15:54:02 2024 4 relations: 509625
  134. Mon Nov 18 15:54:02 2024 5 relations: 530597
  135. Mon Nov 18 15:54:02 2024 6 relations: 523018
  136. Mon Nov 18 15:54:02 2024 7 relations: 512434
  137. Mon Nov 18 15:54:02 2024 8 relations: 486200
  138. Mon Nov 18 15:54:02 2024 9 relations: 453585
  139. Mon Nov 18 15:54:02 2024 10+ relations: 2415521
  140. Mon Nov 18 15:54:02 2024 heaviest cycle: 28 relations
  141. Mon Nov 18 15:54:26 2024 RelProcTime: 5275
  142. Mon Nov 18 15:54:26 2024
  143. Mon Nov 18 15:54:26 2024 commencing linear algebra
  144. Mon Nov 18 15:54:26 2024 using VBITS=512
  145. Mon Nov 18 15:54:26 2024 read 6624950 cycles
  146. Mon Nov 18 15:54:46 2024 cycles contain 21571583 unique relations
  147. Mon Nov 18 15:57:33 2024 read 21571583 relations
  148. Mon Nov 18 15:58:35 2024 using 20 quadratic characters above 4294917295
  149. Mon Nov 18 16:00:56 2024 building initial matrix
  150. Mon Nov 18 16:08:06 2024 memory use: 2670.2 MB
  151. Mon Nov 18 16:08:10 2024 read 6624950 cycles
  152. Mon Nov 18 16:08:12 2024 matrix is 6624773 x 6624950 (2928.4 MB) with weight 833537262 (125.82/col)
  153. Mon Nov 18 16:08:12 2024 sparse part has weight 694784085 (104.87/col)
  154. Mon Nov 18 16:10:22 2024 filtering completed in 2 passes
  155. Mon Nov 18 16:10:24 2024 matrix is 6624618 x 6624761 (2928.4 MB) with weight 833531504 (125.82/col)
  156. Mon Nov 18 16:10:24 2024 sparse part has weight 694781996 (104.88/col)
  157. Mon Nov 18 16:10:53 2024 matrix starts at (0, 0)
  158. Mon Nov 18 16:10:55 2024 matrix is 6624618 x 6624761 (2928.4 MB) with weight 833531504 (125.82/col)
  159. Mon Nov 18 16:10:55 2024 sparse part has weight 694781996 (104.88/col)
  160. Mon Nov 18 16:10:55 2024 saving the first 496 matrix rows for later
  161. Mon Nov 18 16:10:57 2024 matrix includes 512 packed rows
  162. Mon Nov 18 16:11:05 2024 matrix is 6624122 x 6624761 (2765.9 MB) with weight 598184841 (90.30/col)
  163. Mon Nov 18 16:11:05 2024 sparse part has weight 566067347 (85.45/col)
  164. Mon Nov 18 16:11:06 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  165. Mon Nov 18 16:11:06 2024 selected card has CUDA arch 8.6
  166. Mon Nov 18 16:12:16 2024 commencing Lanczos iteration
  167. Mon Nov 18 16:12:18 2024 memory use: 7705.2 MB
  168. Mon Nov 18 16:12:42 2024 linear algebra at 0.2%, ETA 2h45m
  169. Mon Nov 18 16:12:43 2024 checkpointing every 2380000 dimensions
  170. Mon Nov 18 19:12:32 2024 lanczos halted after 12959 iterations (dim = 6624114)
  171. Mon Nov 18 19:14:35 2024 recovered 34 nontrivial dependencies
  172. Mon Nov 18 19:14:35 2024 BLanczosTime: 12009
  173. Mon Nov 18 19:14:35 2024
  174. Mon Nov 18 19:14:35 2024 commencing square root phase
  175. Mon Nov 18 19:14:35 2024 handling dependencies 1 to 64
  176. Mon Nov 18 19:14:35 2024 reading relations for dependency 1
  177. Mon Nov 18 19:14:37 2024 read 3315558 cycles
  178. Mon Nov 18 19:14:46 2024 cycles contain 10791854 unique relations
  179. Mon Nov 18 19:16:28 2024 read 10791854 relations
  180. Mon Nov 18 19:17:51 2024 multiplying 10791854 relations
  181. Mon Nov 18 19:29:22 2024 multiply complete, coefficients have about 265.17 million bits
  182. Mon Nov 18 19:29:24 2024 initial square root is modulo 57347
  183. Mon Nov 18 19:39:28 2024 sqrtTime: 1493
  184. Mon Nov 18 19:39:28 2024 p83 factor: 27910666436589541066043897665408616898357987951967265381458607225366467478238556133
  185. Mon Nov 18 19:39:28 2024 p122 factor: 32488647459087164161622068488230317944669500651708113195116852101523509935099068581270284333160508111087135005126291866211
  186. Mon Nov 18 19:39:28 2024 elapsed time 05:12:58
  187.  
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