gchilders

661__749_11m1

Oct 9th, 2021
136
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  1. Sat Oct 9 00:14:59 2021
  2. Sat Oct 9 00:14:59 2021
  3. Sat Oct 9 00:14:59 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Oct 9 00:14:59 2021 random seeds: a104f648 dd2107d1
  5. Sat Oct 9 00:14:59 2021 factoring 12651062853474003646550055646397874682393136983530090258568392747372471804671463945600463821396808903983616858121444382140754854746469222493576957616237209838930693328881209230147853845717813 (191 digits)
  6. Sat Oct 9 00:14:59 2021 no P-1/P+1/ECM available, skipping
  7. Sat Oct 9 00:14:59 2021 commencing number field sieve (191-digit input)
  8. Sat Oct 9 00:14:59 2021 R0: 4379336246872051501675628785494511293233991002
  9. Sat Oct 9 00:14:59 2021 R1: -66176553603765522035749
  10. Sat Oct 9 00:14:59 2021 A0: 1
  11. Sat Oct 9 00:14:59 2021 A1: 3
  12. Sat Oct 9 00:14:59 2021 A2: -3
  13. Sat Oct 9 00:14:59 2021 A3: -4
  14. Sat Oct 9 00:14:59 2021 A4: 1
  15. Sat Oct 9 00:14:59 2021 A5: 1
  16. Sat Oct 9 00:14:59 2021 skew 1.00, size 1.555e-15, alpha 2.379, combined = 1.255e-12 rroots = 5
  17. Sat Oct 9 00:14:59 2021
  18. Sat Oct 9 00:14:59 2021 commencing relation filtering
  19. Sat Oct 9 00:14:59 2021 estimated available RAM is 515600.8 MB
  20. Sat Oct 9 00:14:59 2021 commencing duplicate removal, pass 1
  21. Sat Oct 9 00:26:15 2021 skipped 50 relations with b > 2^32
  22. Sat Oct 9 00:26:15 2021 skipped 25 relations with composite factors
  23. Sat Oct 9 00:26:15 2021 found 23411047 hash collisions in 130830680 relations
  24. Sat Oct 9 00:26:22 2021 added 2926300 free relations
  25. Sat Oct 9 00:26:22 2021 commencing duplicate removal, pass 2
  26. Sat Oct 9 00:28:10 2021 found 21427637 duplicates and 112329343 unique relations
  27. Sat Oct 9 00:28:10 2021 memory use: 660.8 MB
  28. Sat Oct 9 00:28:10 2021 reading ideals above 720000
  29. Sat Oct 9 00:28:10 2021 commencing singleton removal, initial pass
  30. Sat Oct 9 00:38:18 2021 memory use: 2756.0 MB
  31. Sat Oct 9 00:38:18 2021 reading all ideals from disk
  32. Sat Oct 9 00:38:19 2021 memory use: 4206.2 MB
  33. Sat Oct 9 00:38:22 2021 keeping 92905732 ideals with weight <= 200, target excess is 581183
  34. Sat Oct 9 00:38:27 2021 commencing in-memory singleton removal
  35. Sat Oct 9 00:38:30 2021 begin with 112329343 relations and 92905732 unique ideals
  36. Sat Oct 9 00:39:03 2021 reduce to 81821468 relations and 59851517 ideals in 12 passes
  37. Sat Oct 9 00:39:03 2021 max relations containing the same ideal: 171
  38. Sat Oct 9 00:39:20 2021 removing 7711558 relations and 5711558 ideals in 2000000 cliques
  39. Sat Oct 9 00:39:22 2021 commencing in-memory singleton removal
  40. Sat Oct 9 00:39:24 2021 begin with 74109910 relations and 59851517 unique ideals
  41. Sat Oct 9 00:39:41 2021 reduce to 73496101 relations and 53507443 ideals in 7 passes
  42. Sat Oct 9 00:39:41 2021 max relations containing the same ideal: 159
  43. Sat Oct 9 00:39:56 2021 removing 6257886 relations and 4257886 ideals in 2000000 cliques
  44. Sat Oct 9 00:39:58 2021 commencing in-memory singleton removal
  45. Sat Oct 9 00:40:00 2021 begin with 67238215 relations and 53507443 unique ideals
  46. Sat Oct 9 00:40:12 2021 reduce to 66820041 relations and 48819848 ideals in 6 passes
  47. Sat Oct 9 00:40:12 2021 max relations containing the same ideal: 151
  48. Sat Oct 9 00:40:27 2021 removing 5839315 relations and 3839315 ideals in 2000000 cliques
  49. Sat Oct 9 00:40:28 2021 commencing in-memory singleton removal
  50. Sat Oct 9 00:40:30 2021 begin with 60980726 relations and 48819848 unique ideals
  51. Sat Oct 9 00:40:43 2021 reduce to 60608531 relations and 44597799 ideals in 7 passes
  52. Sat Oct 9 00:40:43 2021 max relations containing the same ideal: 142
  53. Sat Oct 9 00:40:56 2021 removing 5623036 relations and 3623036 ideals in 2000000 cliques
  54. Sat Oct 9 00:40:58 2021 commencing in-memory singleton removal
  55. Sat Oct 9 00:40:59 2021 begin with 54985495 relations and 44597799 unique ideals
  56. Sat Oct 9 00:41:11 2021 reduce to 54629784 relations and 40608083 ideals in 7 passes
  57. Sat Oct 9 00:41:11 2021 max relations containing the same ideal: 134
  58. Sat Oct 9 00:41:23 2021 removing 5490945 relations and 3490945 ideals in 2000000 cliques
  59. Sat Oct 9 00:41:25 2021 commencing in-memory singleton removal
  60. Sat Oct 9 00:41:26 2021 begin with 49138839 relations and 40608083 unique ideals
  61. Sat Oct 9 00:41:36 2021 reduce to 48781868 relations and 36748567 ideals in 7 passes
  62. Sat Oct 9 00:41:36 2021 max relations containing the same ideal: 124
  63. Sat Oct 9 00:41:47 2021 removing 5402287 relations and 3402287 ideals in 2000000 cliques
  64. Sat Oct 9 00:41:49 2021 commencing in-memory singleton removal
  65. Sat Oct 9 00:41:50 2021 begin with 43379581 relations and 36748567 unique ideals
  66. Sat Oct 9 00:41:59 2021 reduce to 43009326 relations and 32962740 ideals in 7 passes
  67. Sat Oct 9 00:41:59 2021 max relations containing the same ideal: 113
  68. Sat Oct 9 00:42:09 2021 removing 5346494 relations and 3346494 ideals in 2000000 cliques
  69. Sat Oct 9 00:42:10 2021 commencing in-memory singleton removal
  70. Sat Oct 9 00:42:11 2021 begin with 37662832 relations and 32962740 unique ideals
  71. Sat Oct 9 00:42:18 2021 reduce to 37266041 relations and 29203862 ideals in 6 passes
  72. Sat Oct 9 00:42:18 2021 max relations containing the same ideal: 103
  73. Sat Oct 9 00:42:26 2021 removing 5312650 relations and 3312650 ideals in 2000000 cliques
  74. Sat Oct 9 00:42:28 2021 commencing in-memory singleton removal
  75. Sat Oct 9 00:42:28 2021 begin with 31953391 relations and 29203862 unique ideals
  76. Sat Oct 9 00:42:34 2021 reduce to 31517811 relations and 25435779 ideals in 6 passes
  77. Sat Oct 9 00:42:34 2021 max relations containing the same ideal: 95
  78. Sat Oct 9 00:42:41 2021 removing 5292081 relations and 3292081 ideals in 2000000 cliques
  79. Sat Oct 9 00:42:43 2021 commencing in-memory singleton removal
  80. Sat Oct 9 00:42:43 2021 begin with 26225730 relations and 25435779 unique ideals
  81. Sat Oct 9 00:42:49 2021 reduce to 25731071 relations and 21622963 ideals in 7 passes
  82. Sat Oct 9 00:42:49 2021 max relations containing the same ideal: 78
  83. Sat Oct 9 00:42:55 2021 removing 5271925 relations and 3271925 ideals in 2000000 cliques
  84. Sat Oct 9 00:42:56 2021 commencing in-memory singleton removal
  85. Sat Oct 9 00:42:56 2021 begin with 20459146 relations and 21622963 unique ideals
  86. Sat Oct 9 00:43:01 2021 reduce to 19866803 relations and 17720965 ideals in 7 passes
  87. Sat Oct 9 00:43:01 2021 max relations containing the same ideal: 66
  88. Sat Oct 9 00:43:06 2021 removing 4046354 relations and 2574689 ideals in 1471665 cliques
  89. Sat Oct 9 00:43:06 2021 commencing in-memory singleton removal
  90. Sat Oct 9 00:43:07 2021 begin with 15820449 relations and 17720965 unique ideals
  91. Sat Oct 9 00:43:10 2021 reduce to 15293685 relations and 14585381 ideals in 8 passes
  92. Sat Oct 9 00:43:10 2021 max relations containing the same ideal: 55
  93. Sat Oct 9 00:43:14 2021 removing 186128 relations and 151997 ideals in 34131 cliques
  94. Sat Oct 9 00:43:15 2021 commencing in-memory singleton removal
  95. Sat Oct 9 00:43:15 2021 begin with 15107557 relations and 14585381 unique ideals
  96. Sat Oct 9 00:43:17 2021 reduce to 15105579 relations and 14431400 ideals in 5 passes
  97. Sat Oct 9 00:43:17 2021 max relations containing the same ideal: 55
  98. Sat Oct 9 00:43:19 2021 relations with 0 large ideals: 45169
  99. Sat Oct 9 00:43:19 2021 relations with 1 large ideals: 14485
  100. Sat Oct 9 00:43:19 2021 relations with 2 large ideals: 165746
  101. Sat Oct 9 00:43:19 2021 relations with 3 large ideals: 867961
  102. Sat Oct 9 00:43:19 2021 relations with 4 large ideals: 2388694
  103. Sat Oct 9 00:43:19 2021 relations with 5 large ideals: 3838997
  104. Sat Oct 9 00:43:19 2021 relations with 6 large ideals: 4287696
  105. Sat Oct 9 00:43:19 2021 relations with 7+ large ideals: 3496831
  106. Sat Oct 9 00:43:19 2021 commencing 2-way merge
  107. Sat Oct 9 00:43:24 2021 reduce to 10486131 relation sets and 9811952 unique ideals
  108. Sat Oct 9 00:43:24 2021 commencing full merge
  109. Sat Oct 9 00:45:18 2021 memory use: 1231.3 MB
  110. Sat Oct 9 00:45:19 2021 found 5127984 cycles, need 5044152
  111. Sat Oct 9 00:45:20 2021 weight of 5044152 cycles is about 454031029 (90.01/cycle)
  112. Sat Oct 9 00:45:20 2021 distribution of cycle lengths:
  113. Sat Oct 9 00:45:20 2021 1 relations: 265894
  114. Sat Oct 9 00:45:20 2021 2 relations: 378763
  115. Sat Oct 9 00:45:20 2021 3 relations: 456986
  116. Sat Oct 9 00:45:20 2021 4 relations: 485756
  117. Sat Oct 9 00:45:20 2021 5 relations: 492756
  118. Sat Oct 9 00:45:20 2021 6 relations: 475332
  119. Sat Oct 9 00:45:20 2021 7 relations: 439760
  120. Sat Oct 9 00:45:20 2021 8 relations: 390385
  121. Sat Oct 9 00:45:20 2021 9 relations: 338193
  122. Sat Oct 9 00:45:20 2021 10+ relations: 1320327
  123. Sat Oct 9 00:45:20 2021 heaviest cycle: 25 relations
  124. Sat Oct 9 00:45:21 2021 commencing cycle optimization
  125. Sat Oct 9 00:45:26 2021 start with 35964264 relations
  126. Sat Oct 9 00:46:07 2021 pruned 1559839 relations
  127. Sat Oct 9 00:46:07 2021 memory use: 998.7 MB
  128. Sat Oct 9 00:46:07 2021 distribution of cycle lengths:
  129. Sat Oct 9 00:46:07 2021 1 relations: 265894
  130. Sat Oct 9 00:46:07 2021 2 relations: 387848
  131. Sat Oct 9 00:46:07 2021 3 relations: 477420
  132. Sat Oct 9 00:46:07 2021 4 relations: 508160
  133. Sat Oct 9 00:46:07 2021 5 relations: 520397
  134. Sat Oct 9 00:46:07 2021 6 relations: 499122
  135. Sat Oct 9 00:46:07 2021 7 relations: 461639
  136. Sat Oct 9 00:46:07 2021 8 relations: 403975
  137. Sat Oct 9 00:46:07 2021 9 relations: 345821
  138. Sat Oct 9 00:46:07 2021 10+ relations: 1173876
  139. Sat Oct 9 00:46:07 2021 heaviest cycle: 25 relations
  140. Sat Oct 9 00:46:11 2021 RelProcTime: 1872
  141. Sat Oct 9 00:46:12 2021
  142. Sat Oct 9 00:46:12 2021 commencing linear algebra
  143. Sat Oct 9 00:46:12 2021 using VBITS=384
  144. Sat Oct 9 00:46:12 2021 read 5044152 cycles
  145. Sat Oct 9 00:46:17 2021 cycles contain 14787910 unique relations
  146. Sat Oct 9 00:48:19 2021 read 14787910 relations
  147. Sat Oct 9 00:48:32 2021 using 20 quadratic characters above 4294917295
  148. Sat Oct 9 00:49:13 2021 building initial matrix
  149. Sat Oct 9 00:50:46 2021 memory use: 1813.6 MB
  150. Sat Oct 9 00:50:47 2021 read 5044152 cycles
  151. Sat Oct 9 00:50:47 2021 matrix is 5043973 x 5044152 (1850.3 MB) with weight 532737403 (105.61/col)
  152. Sat Oct 9 00:50:47 2021 sparse part has weight 429567132 (85.16/col)
  153. Sat Oct 9 00:51:11 2021 filtering completed in 2 passes
  154. Sat Oct 9 00:51:12 2021 matrix is 5043158 x 5043309 (1850.2 MB) with weight 532707242 (105.63/col)
  155. Sat Oct 9 00:51:12 2021 sparse part has weight 429554058 (85.17/col)
  156. Sat Oct 9 00:51:18 2021 matrix starts at (0, 0)
  157. Sat Oct 9 00:51:19 2021 matrix is 5043158 x 5043309 (1850.2 MB) with weight 532707242 (105.63/col)
  158. Sat Oct 9 00:51:19 2021 sparse part has weight 429554058 (85.17/col)
  159. Sat Oct 9 00:51:19 2021 saving the first 368 matrix rows for later
  160. Sat Oct 9 00:51:20 2021 matrix includes 384 packed rows
  161. Sat Oct 9 00:51:22 2021 matrix is 5042790 x 5043309 (1744.8 MB) with weight 377149357 (74.78/col)
  162. Sat Oct 9 00:51:22 2021 sparse part has weight 356517919 (70.69/col)
  163. Sat Oct 9 00:51:22 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  164. Sat Oct 9 00:51:22 2021 selected card has CUDA arch 7.0
  165. Sat Oct 9 00:51:36 2021 commencing Lanczos iteration
  166. Sat Oct 9 00:51:36 2021 memory use: 4605.4 MB
  167. Sat Oct 9 00:51:38 2021 linear algebra at 0.0%, ETA 1h13m
  168. Sat Oct 9 00:51:39 2021 checkpointing every 5060000 dimensions
  169. Sat Oct 9 01:39:14 2021 lanczos halted after 13160 iterations (dim = 5042788)
  170. Sat Oct 9 01:39:39 2021 recovered 35 nontrivial dependencies
  171. Sat Oct 9 01:39:39 2021 BLanczosTime: 3207
  172. Sat Oct 9 01:39:39 2021
  173. Sat Oct 9 01:39:39 2021 commencing square root phase
  174. Sat Oct 9 01:39:39 2021 reading relations for dependency 1
  175. Sat Oct 9 01:39:39 2021 read 2521647 cycles
  176. Sat Oct 9 01:39:42 2021 cycles contain 7396034 unique relations
  177. Sat Oct 9 01:41:22 2021 read 7396034 relations
  178. Sat Oct 9 01:41:40 2021 multiplying 7396034 relations
  179. Sat Oct 9 01:43:35 2021 multiply complete, coefficients have about 182.44 million bits
  180. Sat Oct 9 01:43:35 2021 initial square root is modulo 3526147
  181. Sat Oct 9 01:45:55 2021 sqrtTime: 376
  182. Sat Oct 9 01:45:55 2021 p66 factor: 265594043402072283575279310077702929221991002802535734814649005687
  183. Sat Oct 9 01:45:55 2021 p125 factor: 47633082020299911564354970482176067328344373068454614646848953363061405247127821832260368738942888080965949443813773621240499
  184. Sat Oct 9 01:45:55 2021 elapsed time 01:30:56
  185.  
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