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Sep 24th, 2022
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  1. Sat Sep 24 18:39:52 2022
  2. Sat Sep 24 18:39:52 2022
  3. Sat Sep 24 18:39:52 2022 Msieve v. 1.54 (SVN unknown)
  4. Sat Sep 24 18:39:52 2022 random seeds: db0c1f21 0216d807
  5. Sat Sep 24 18:39:52 2022 factoring 1865951190234101346716618166500004193605495237550437008542065407525606820097875605140173314296823190132560699447249454801349942940874757013999774230910739726847 (160 digits)
  6. Sat Sep 24 18:39:54 2022 searching for 15-digit factors
  7. Sat Sep 24 18:39:54 2022 commencing number field sieve (160-digit input)
  8. Sat Sep 24 18:39:54 2022 R0: -12118262452157495003856237080925
  9. Sat Sep 24 18:39:54 2022 R1: 42422726344153103
  10. Sat Sep 24 18:39:54 2022 A0: 9962293804152057582413276452073620907804
  11. Sat Sep 24 18:39:54 2022 A1: 3510125274219292810434479014980562
  12. Sat Sep 24 18:39:54 2022 A2: -933969711025153525115068341
  13. Sat Sep 24 18:39:54 2022 A3: -21189335291983725202
  14. Sat Sep 24 18:39:54 2022 A4: 1396318679062
  15. Sat Sep 24 18:39:54 2022 A5: 7140
  16. Sat Sep 24 18:39:54 2022 skew 25210756.36, size 1.632e-15, alpha -7.905, combined = 1.504e-12 rroots = 5
  17. Sat Sep 24 18:39:54 2022
  18. Sat Sep 24 18:39:54 2022 commencing relation filtering
  19. Sat Sep 24 18:39:54 2022 setting target matrix density to 130.0
  20. Sat Sep 24 18:39:54 2022 estimated available RAM is 31302.7 MB
  21. Sat Sep 24 18:39:54 2022 commencing duplicate removal, pass 1
  22. Sat Sep 24 18:40:17 2022 error -1 reading relation 6130991
  23. Sat Sep 24 18:40:24 2022 error -15 reading relation 8190840
  24. Sat Sep 24 18:41:32 2022 error -15 reading relation 26230737
  25. Sat Sep 24 18:43:38 2022 error -15 reading relation 60448095
  26. Sat Sep 24 18:45:47 2022 error -15 reading relation 94360797
  27. Sat Sep 24 18:46:23 2022 error -5 reading relation 104081063
  28. Sat Sep 24 18:46:23 2022 error -15 reading relation 104188898
  29. Sat Sep 24 18:48:27 2022 skipped 1 relations with composite factors
  30. Sat Sep 24 18:48:27 2022 found 26929013 hash collisions in 137386667 relations
  31. Sat Sep 24 18:49:06 2022 added 121408 free relations
  32. Sat Sep 24 18:49:06 2022 commencing duplicate removal, pass 2
  33. Sat Sep 24 18:52:18 2022 found 25414996 duplicates and 112093079 unique relations
  34. Sat Sep 24 18:52:18 2022 memory use: 660.8 MB
  35. Sat Sep 24 18:52:18 2022 reading ideals above 720000
  36. Sat Sep 24 18:52:19 2022 commencing singleton removal, initial pass
  37. Sat Sep 24 19:04:36 2022 memory use: 2756.0 MB
  38. Sat Sep 24 19:04:36 2022 reading all ideals from disk
  39. Sat Sep 24 19:05:08 2022 memory use: 5011.3 MB
  40. Sat Sep 24 19:05:22 2022 keeping 92609548 ideals with weight <= 200, target excess is 584921
  41. Sat Sep 24 19:05:39 2022 commencing in-memory singleton removal
  42. Sat Sep 24 19:05:43 2022 begin with 112093079 relations and 92609548 unique ideals
  43. Sat Sep 24 19:06:00 2022 reduce to 81159187 relations and 59114381 ideals in 12 passes
  44. Sat Sep 24 19:06:00 2022 max relations containing the same ideal: 171
  45. Sat Sep 24 19:06:32 2022 removing 7856521 relations and 5856521 ideals in 2000000 cliques
  46. Sat Sep 24 19:06:36 2022 commencing in-memory singleton removal
  47. Sat Sep 24 19:06:39 2022 begin with 73302666 relations and 59114381 unique ideals
  48. Sat Sep 24 19:06:47 2022 reduce to 72703280 relations and 52640299 ideals in 7 passes
  49. Sat Sep 24 19:06:47 2022 max relations containing the same ideal: 160
  50. Sat Sep 24 19:07:18 2022 removing 6253633 relations and 4253633 ideals in 2000000 cliques
  51. Sat Sep 24 19:07:22 2022 commencing in-memory singleton removal
  52. Sat Sep 24 19:07:24 2022 begin with 66449647 relations and 52640299 unique ideals
  53. Sat Sep 24 19:07:32 2022 reduce to 66039137 relations and 47964900 ideals in 7 passes
  54. Sat Sep 24 19:07:32 2022 max relations containing the same ideal: 149
  55. Sat Sep 24 19:07:59 2022 removing 5831265 relations and 3831265 ideals in 2000000 cliques
  56. Sat Sep 24 19:08:02 2022 commencing in-memory singleton removal
  57. Sat Sep 24 19:08:05 2022 begin with 60207872 relations and 47964900 unique ideals
  58. Sat Sep 24 19:08:11 2022 reduce to 59849120 relations and 43764891 ideals in 6 passes
  59. Sat Sep 24 19:08:11 2022 max relations containing the same ideal: 142
  60. Sat Sep 24 19:08:35 2022 removing 5615051 relations and 3615051 ideals in 2000000 cliques
  61. Sat Sep 24 19:08:39 2022 commencing in-memory singleton removal
  62. Sat Sep 24 19:08:41 2022 begin with 54234069 relations and 43764891 unique ideals
  63. Sat Sep 24 19:08:46 2022 reduce to 53891636 relations and 39797245 ideals in 6 passes
  64. Sat Sep 24 19:08:46 2022 max relations containing the same ideal: 134
  65. Sat Sep 24 19:09:09 2022 removing 5477658 relations and 3477658 ideals in 2000000 cliques
  66. Sat Sep 24 19:09:12 2022 commencing in-memory singleton removal
  67. Sat Sep 24 19:09:14 2022 begin with 48413978 relations and 39797245 unique ideals
  68. Sat Sep 24 19:09:19 2022 reduce to 48070718 relations and 35965482 ideals in 7 passes
  69. Sat Sep 24 19:09:19 2022 max relations containing the same ideal: 123
  70. Sat Sep 24 19:09:40 2022 removing 5389611 relations and 3389611 ideals in 2000000 cliques
  71. Sat Sep 24 19:09:43 2022 commencing in-memory singleton removal
  72. Sat Sep 24 19:09:45 2022 begin with 42681107 relations and 35965482 unique ideals
  73. Sat Sep 24 19:09:49 2022 reduce to 42326617 relations and 32208619 ideals in 7 passes
  74. Sat Sep 24 19:09:49 2022 max relations containing the same ideal: 113
  75. Sat Sep 24 19:10:07 2022 removing 5328800 relations and 3328800 ideals in 2000000 cliques
  76. Sat Sep 24 19:10:10 2022 commencing in-memory singleton removal
  77. Sat Sep 24 19:10:11 2022 begin with 36997817 relations and 32208619 unique ideals
  78. Sat Sep 24 19:10:15 2022 reduce to 36619095 relations and 28486147 ideals in 7 passes
  79. Sat Sep 24 19:10:15 2022 max relations containing the same ideal: 104
  80. Sat Sep 24 19:10:31 2022 removing 5292411 relations and 3292411 ideals in 2000000 cliques
  81. Sat Sep 24 19:10:34 2022 commencing in-memory singleton removal
  82. Sat Sep 24 19:10:35 2022 begin with 31326684 relations and 28486147 unique ideals
  83. Sat Sep 24 19:10:38 2022 reduce to 30909225 relations and 24757601 ideals in 8 passes
  84. Sat Sep 24 19:10:38 2022 max relations containing the same ideal: 89
  85. Sat Sep 24 19:10:52 2022 removing 5271160 relations and 3271160 ideals in 2000000 cliques
  86. Sat Sep 24 19:10:55 2022 commencing in-memory singleton removal
  87. Sat Sep 24 19:10:56 2022 begin with 25638065 relations and 24757601 unique ideals
  88. Sat Sep 24 19:10:59 2022 reduce to 25158520 relations and 20981969 ideals in 8 passes
  89. Sat Sep 24 19:10:59 2022 max relations containing the same ideal: 79
  90. Sat Sep 24 19:11:10 2022 removing 5264211 relations and 3264211 ideals in 2000000 cliques
  91. Sat Sep 24 19:11:12 2022 commencing in-memory singleton removal
  92. Sat Sep 24 19:11:13 2022 begin with 19894309 relations and 20981969 unique ideals
  93. Sat Sep 24 19:11:15 2022 reduce to 19315699 relations and 17101946 ideals in 7 passes
  94. Sat Sep 24 19:11:15 2022 max relations containing the same ideal: 67
  95. Sat Sep 24 19:11:24 2022 removing 4191256 relations and 2656012 ideals in 1535244 cliques
  96. Sat Sep 24 19:11:25 2022 commencing in-memory singleton removal
  97. Sat Sep 24 19:11:26 2022 begin with 15124443 relations and 17101946 unique ideals
  98. Sat Sep 24 19:11:28 2022 reduce to 14582613 relations and 13867401 ideals in 8 passes
  99. Sat Sep 24 19:11:28 2022 max relations containing the same ideal: 56
  100. Sat Sep 24 19:11:35 2022 removing 196639 relations and 159936 ideals in 36703 cliques
  101. Sat Sep 24 19:11:36 2022 commencing in-memory singleton removal
  102. Sat Sep 24 19:11:36 2022 begin with 14385974 relations and 13867401 unique ideals
  103. Sat Sep 24 19:11:37 2022 reduce to 14383678 relations and 13705160 ideals in 5 passes
  104. Sat Sep 24 19:11:37 2022 max relations containing the same ideal: 55
  105. Sat Sep 24 19:11:39 2022 relations with 0 large ideals: 1880
  106. Sat Sep 24 19:11:39 2022 relations with 1 large ideals: 17786
  107. Sat Sep 24 19:11:39 2022 relations with 2 large ideals: 213099
  108. Sat Sep 24 19:11:39 2022 relations with 3 large ideals: 1053201
  109. Sat Sep 24 19:11:39 2022 relations with 4 large ideals: 2681513
  110. Sat Sep 24 19:11:39 2022 relations with 5 large ideals: 3942571
  111. Sat Sep 24 19:11:39 2022 relations with 6 large ideals: 3587219
  112. Sat Sep 24 19:11:39 2022 relations with 7+ large ideals: 2886409
  113. Sat Sep 24 19:11:39 2022 commencing 2-way merge
  114. Sat Sep 24 19:11:47 2022 reduce to 9838998 relation sets and 9160480 unique ideals
  115. Sat Sep 24 19:11:47 2022 commencing full merge
  116. Sat Sep 24 19:15:36 2022 memory use: 1146.6 MB
  117. Sat Sep 24 19:15:37 2022 found 4313792 cycles, need 4272680
  118. Sat Sep 24 19:15:39 2022 weight of 4272680 cycles is about 556226208 (130.18/cycle)
  119. Sat Sep 24 19:15:39 2022 distribution of cycle lengths:
  120. Sat Sep 24 19:15:39 2022 1 relations: 73466
  121. Sat Sep 24 19:15:39 2022 2 relations: 195966
  122. Sat Sep 24 19:15:39 2022 3 relations: 262347
  123. Sat Sep 24 19:15:39 2022 4 relations: 295247
  124. Sat Sep 24 19:15:39 2022 5 relations: 320816
  125. Sat Sep 24 19:15:39 2022 6 relations: 328209
  126. Sat Sep 24 19:15:39 2022 7 relations: 329735
  127. Sat Sep 24 19:15:39 2022 8 relations: 316682
  128. Sat Sep 24 19:15:39 2022 9 relations: 298364
  129. Sat Sep 24 19:15:39 2022 10+ relations: 1851848
  130. Sat Sep 24 19:15:39 2022 heaviest cycle: 28 relations
  131. Sat Sep 24 19:15:41 2022 commencing cycle optimization
  132. Sat Sep 24 19:15:53 2022 start with 40304329 relations
  133. Sat Sep 24 19:17:49 2022 pruned 2311314 relations
  134. Sat Sep 24 19:17:49 2022 memory use: 1008.4 MB
  135. Sat Sep 24 19:17:49 2022 distribution of cycle lengths:
  136. Sat Sep 24 19:17:49 2022 1 relations: 73466
  137. Sat Sep 24 19:17:49 2022 2 relations: 202411
  138. Sat Sep 24 19:17:49 2022 3 relations: 276108
  139. Sat Sep 24 19:17:49 2022 4 relations: 311900
  140. Sat Sep 24 19:17:49 2022 5 relations: 342705
  141. Sat Sep 24 19:17:49 2022 6 relations: 351050
  142. Sat Sep 24 19:17:49 2022 7 relations: 353892
  143. Sat Sep 24 19:17:49 2022 8 relations: 338165
  144. Sat Sep 24 19:17:49 2022 9 relations: 317511
  145. Sat Sep 24 19:17:49 2022 10+ relations: 1705472
  146. Sat Sep 24 19:17:49 2022 heaviest cycle: 28 relations
  147. Sat Sep 24 19:17:58 2022 RelProcTime: 2284
  148. Sat Sep 24 19:17:58 2022
  149. Sat Sep 24 19:17:58 2022 commencing linear algebra
  150. Sat Sep 24 19:17:58 2022 using VBITS=256
  151. Sat Sep 24 19:17:58 2022 read 4272680 cycles
  152. Sat Sep 24 19:18:11 2022 cycles contain 14071522 unique relations
  153. Sat Sep 24 19:21:18 2022 read 14071522 relations
  154. Sat Sep 24 19:21:21 2022 using 20 quadratic characters above 4294917295
  155. Sat Sep 24 19:21:31 2022 building initial matrix
  156. Sat Sep 24 19:26:36 2022 memory use: 1959.6 MB
  157. Sat Sep 24 19:26:40 2022 read 4272680 cycles
  158. Sat Sep 24 19:26:41 2022 matrix is 4272500 x 4272680 (2131.3 MB) with weight 656290343 (153.60/col)
  159. Sat Sep 24 19:26:41 2022 sparse part has weight 507428943 (118.76/col)
  160. Sat Sep 24 19:27:36 2022 filtering completed in 2 passes
  161. Sat Sep 24 19:27:36 2022 matrix is 4272382 x 4272561 (2131.3 MB) with weight 656282544 (153.60/col)
  162. Sat Sep 24 19:27:36 2022 sparse part has weight 507425485 (118.76/col)
  163. Sat Sep 24 19:27:59 2022 matrix starts at (0, 0)
  164. Sat Sep 24 19:28:00 2022 matrix is 4272382 x 4272561 (2131.3 MB) with weight 656282544 (153.60/col)
  165. Sat Sep 24 19:28:00 2022 sparse part has weight 507425485 (118.76/col)
  166. Sat Sep 24 19:28:00 2022 saving the first 240 matrix rows for later
  167. Sat Sep 24 19:28:01 2022 matrix includes 256 packed rows
  168. Sat Sep 24 19:28:02 2022 matrix is 4272142 x 4272561 (1898.5 MB) with weight 461364607 (107.98/col)
  169. Sat Sep 24 19:28:02 2022 sparse part has weight 429313446 (100.48/col)
  170. Sat Sep 24 19:28:02 2022 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  171. Sat Sep 24 19:28:12 2022 commencing Lanczos iteration (16 threads)
  172. Sat Sep 24 19:28:12 2022 memory use: 2556.0 MB
  173. Sat Sep 24 19:29:52 2022 linear algebra at 0.7%, ETA 3h46m
  174. Sat Sep 24 19:32:20 2022 checking every 10000 dimensions, checkpointing every 1130000 dimensions
  175. Sat Sep 24 23:16:14 2022 lanczos halted after 16739 iterations (dim = 4272138)
  176. Sat Sep 24 23:16:38 2022 recovered 27 nontrivial dependencies
  177. Sat Sep 24 23:16:38 2022 BLanczosTime: 14320
  178. Sat Sep 24 23:16:38 2022
  179. Sat Sep 24 23:16:38 2022 commencing square root phase
  180. Sat Sep 24 23:16:38 2022 handling dependencies 1 to 64
  181. Sat Sep 24 23:16:38 2022 reading relations for dependency 1
  182. Sat Sep 24 23:16:39 2022 read 2135016 cycles
  183. Sat Sep 24 23:16:43 2022 cycles contain 7031426 unique relations
  184. Sat Sep 24 23:18:54 2022 read 7031426 relations
  185. Sat Sep 24 23:19:35 2022 multiplying 7031426 relations
  186. Sat Sep 24 23:24:59 2022 multiply complete, coefficients have about 362.01 million bits
  187. Sat Sep 24 23:25:01 2022 initial square root is modulo 3131263
  188. Sat Sep 24 23:29:21 2022 GCD is N, no factor found
  189. Sat Sep 24 23:29:21 2022 reading relations for dependency 2
  190. Sat Sep 24 23:29:22 2022 read 2137231 cycles
  191. Sat Sep 24 23:29:28 2022 cycles contain 7035908 unique relations
  192. Sat Sep 24 23:31:50 2022 read 7035908 relations
  193. Sat Sep 24 23:32:30 2022 multiplying 7035908 relations
  194. Sat Sep 24 23:37:54 2022 multiply complete, coefficients have about 362.25 million bits
  195. Sat Sep 24 23:37:56 2022 initial square root is modulo 3161891
  196. Sat Sep 24 23:42:16 2022 GCD is 1, no factor found
  197. Sat Sep 24 23:42:16 2022 reading relations for dependency 3
  198. Sat Sep 24 23:42:17 2022 read 2135894 cycles
  199. Sat Sep 24 23:42:23 2022 cycles contain 7032624 unique relations
  200. Sat Sep 24 23:44:44 2022 read 7032624 relations
  201. Sat Sep 24 23:45:22 2022 multiplying 7032624 relations
  202. Sat Sep 24 23:50:44 2022 multiply complete, coefficients have about 362.08 million bits
  203. Sat Sep 24 23:50:46 2022 initial square root is modulo 3139321
  204. Sat Sep 24 23:55:06 2022 sqrtTime: 2308
  205. Sat Sep 24 23:55:06 2022 p74 factor: 45134823675029159291444285409629691764278706069235967629432435730076919539
  206. Sat Sep 24 23:55:06 2022 p86 factor: 41341718839292570948282884362021924349556372833615384873066008456924022008453253829573
  207. Sat Sep 24 23:55:06 2022 elapsed time 05:15:14
  208.  
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