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gchilders

9p8_272

Nov 2nd, 2021
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  1. Tue Nov 2 03:07:33 2021
  2. Tue Nov 2 03:07:33 2021
  3. Tue Nov 2 03:07:33 2021 Msieve v. 1.54 (SVN unknown)
  4. Tue Nov 2 03:07:33 2021 random seeds: 56bd3213 19268fb0
  5. Tue Nov 2 03:07:33 2021 factoring 29599664572493228609493694491912555792307545175169176579570291796021848652971909995362799911474583206774430830257236692579501592334803804867605519020355422906997090939398558008516342606755195751077048894401 (206 digits)
  6. Tue Nov 2 03:07:34 2021 no P-1/P+1/ECM available, skipping
  7. Tue Nov 2 03:07:34 2021 commencing number field sieve (206-digit input)
  8. Tue Nov 2 03:07:34 2021 R0: 26183890704263137277674192438430182020124347
  9. Tue Nov 2 03:07:34 2021 R1: -43556142965880123323311949751266331066368
  10. Tue Nov 2 03:07:34 2021 A0: 576
  11. Tue Nov 2 03:07:34 2021 A1: 0
  12. Tue Nov 2 03:07:34 2021 A2: 0
  13. Tue Nov 2 03:07:34 2021 A3: 0
  14. Tue Nov 2 03:07:34 2021 A4: 0
  15. Tue Nov 2 03:07:34 2021 A5: 0
  16. Tue Nov 2 03:07:34 2021 A6: 1
  17. Tue Nov 2 03:07:34 2021 skew 2.88, size 7.072e-13, alpha 0.124, combined = 9.046e-14 rroots = 0
  18. Tue Nov 2 03:07:34 2021
  19. Tue Nov 2 03:07:34 2021 commencing relation filtering
  20. Tue Nov 2 03:07:34 2021 setting target matrix density to 120.0
  21. Tue Nov 2 03:07:34 2021 estimated available RAM is 515600.8 MB
  22. Tue Nov 2 03:07:34 2021 commencing duplicate removal, pass 1
  23. Tue Nov 2 03:29:33 2021 skipped 250 relations with b > 2^32
  24. Tue Nov 2 03:29:33 2021 skipped 913 relations with composite factors
  25. Tue Nov 2 03:29:33 2021 found 50794359 hash collisions in 244584185 relations
  26. Tue Nov 2 03:29:45 2021 added 1218608 free relations
  27. Tue Nov 2 03:29:45 2021 commencing duplicate removal, pass 2
  28. Tue Nov 2 03:33:26 2021 found 52211536 duplicates and 193591257 unique relations
  29. Tue Nov 2 03:33:26 2021 memory use: 1321.5 MB
  30. Tue Nov 2 03:33:26 2021 reading ideals above 720000
  31. Tue Nov 2 03:33:30 2021 commencing singleton removal, initial pass
  32. Tue Nov 2 03:52:07 2021 memory use: 5512.0 MB
  33. Tue Nov 2 03:52:07 2021 reading all ideals from disk
  34. Tue Nov 2 03:52:08 2021 memory use: 8009.3 MB
  35. Tue Nov 2 03:52:15 2021 keeping 179234250 ideals with weight <= 200, target excess is 1021666
  36. Tue Nov 2 03:52:25 2021 commencing in-memory singleton removal
  37. Tue Nov 2 03:52:31 2021 begin with 193591257 relations and 179234250 unique ideals
  38. Tue Nov 2 03:53:35 2021 reduce to 129038828 relations and 108464027 ideals in 14 passes
  39. Tue Nov 2 03:53:35 2021 max relations containing the same ideal: 161
  40. Tue Nov 2 03:54:05 2021 removing 11266822 relations and 9266822 ideals in 2000000 cliques
  41. Tue Nov 2 03:54:08 2021 commencing in-memory singleton removal
  42. Tue Nov 2 03:54:11 2021 begin with 117772006 relations and 108464027 unique ideals
  43. Tue Nov 2 03:54:43 2021 reduce to 116973060 relations and 98382224 ideals in 8 passes
  44. Tue Nov 2 03:54:43 2021 max relations containing the same ideal: 150
  45. Tue Nov 2 03:55:10 2021 removing 8660451 relations and 6660451 ideals in 2000000 cliques
  46. Tue Nov 2 03:55:13 2021 commencing in-memory singleton removal
  47. Tue Nov 2 03:55:16 2021 begin with 108312609 relations and 98382224 unique ideals
  48. Tue Nov 2 03:55:45 2021 reduce to 107776644 relations and 91176384 ideals in 8 passes
  49. Tue Nov 2 03:55:45 2021 max relations containing the same ideal: 144
  50. Tue Nov 2 03:56:09 2021 removing 7887811 relations and 5887811 ideals in 2000000 cliques
  51. Tue Nov 2 03:56:12 2021 commencing in-memory singleton removal
  52. Tue Nov 2 03:56:15 2021 begin with 99888833 relations and 91176384 unique ideals
  53. Tue Nov 2 03:56:45 2021 reduce to 99408959 relations and 84800267 ideals in 8 passes
  54. Tue Nov 2 03:56:45 2021 max relations containing the same ideal: 139
  55. Tue Nov 2 03:57:08 2021 removing 7504206 relations and 5504206 ideals in 2000000 cliques
  56. Tue Nov 2 03:57:10 2021 commencing in-memory singleton removal
  57. Tue Nov 2 03:57:13 2021 begin with 91904753 relations and 84800267 unique ideals
  58. Tue Nov 2 03:57:37 2021 reduce to 91443437 relations and 78826204 ideals in 8 passes
  59. Tue Nov 2 03:57:37 2021 max relations containing the same ideal: 127
  60. Tue Nov 2 03:57:59 2021 removing 7280354 relations and 5280354 ideals in 2000000 cliques
  61. Tue Nov 2 03:58:01 2021 commencing in-memory singleton removal
  62. Tue Nov 2 03:58:03 2021 begin with 84163083 relations and 78826204 unique ideals
  63. Tue Nov 2 03:58:26 2021 reduce to 83700197 relations and 73073904 ideals in 8 passes
  64. Tue Nov 2 03:58:26 2021 max relations containing the same ideal: 121
  65. Tue Nov 2 03:58:46 2021 removing 7151939 relations and 5151939 ideals in 2000000 cliques
  66. Tue Nov 2 03:58:48 2021 commencing in-memory singleton removal
  67. Tue Nov 2 03:58:50 2021 begin with 76548258 relations and 73073904 unique ideals
  68. Tue Nov 2 03:59:08 2021 reduce to 76073698 relations and 67437361 ideals in 7 passes
  69. Tue Nov 2 03:59:08 2021 max relations containing the same ideal: 113
  70. Tue Nov 2 03:59:26 2021 removing 7064728 relations and 5064728 ideals in 2000000 cliques
  71. Tue Nov 2 03:59:28 2021 commencing in-memory singleton removal
  72. Tue Nov 2 03:59:30 2021 begin with 69008970 relations and 67437361 unique ideals
  73. Tue Nov 2 03:59:48 2021 reduce to 68507894 relations and 61859945 ideals in 8 passes
  74. Tue Nov 2 03:59:48 2021 max relations containing the same ideal: 106
  75. Tue Nov 2 04:00:05 2021 removing 7025227 relations and 5025227 ideals in 2000000 cliques
  76. Tue Nov 2 04:00:07 2021 commencing in-memory singleton removal
  77. Tue Nov 2 04:00:08 2021 begin with 61482667 relations and 61859945 unique ideals
  78. Tue Nov 2 04:00:24 2021 reduce to 60943341 relations and 56281767 ideals in 8 passes
  79. Tue Nov 2 04:00:24 2021 max relations containing the same ideal: 100
  80. Tue Nov 2 04:00:39 2021 removing 7013017 relations and 5013017 ideals in 2000000 cliques
  81. Tue Nov 2 04:00:41 2021 commencing in-memory singleton removal
  82. Tue Nov 2 04:00:43 2021 begin with 53930324 relations and 56281767 unique ideals
  83. Tue Nov 2 04:00:58 2021 reduce to 53330332 relations and 50651927 ideals in 9 passes
  84. Tue Nov 2 04:00:59 2021 max relations containing the same ideal: 92
  85. Tue Nov 2 04:01:12 2021 removing 5558518 relations and 4065246 ideals in 1493272 cliques
  86. Tue Nov 2 04:01:14 2021 commencing in-memory singleton removal
  87. Tue Nov 2 04:01:15 2021 begin with 47771814 relations and 50651927 unique ideals
  88. Tue Nov 2 04:01:26 2021 reduce to 47352217 relations and 46156892 ideals in 7 passes
  89. Tue Nov 2 04:01:26 2021 max relations containing the same ideal: 85
  90. Tue Nov 2 04:01:38 2021 removing 79132 relations and 68940 ideals in 10192 cliques
  91. Tue Nov 2 04:01:38 2021 commencing in-memory singleton removal
  92. Tue Nov 2 04:01:40 2021 begin with 47273085 relations and 46156892 unique ideals
  93. Tue Nov 2 04:01:46 2021 reduce to 47273012 relations and 46087879 ideals in 4 passes
  94. Tue Nov 2 04:01:46 2021 max relations containing the same ideal: 85
  95. Tue Nov 2 04:01:52 2021 relations with 0 large ideals: 38283
  96. Tue Nov 2 04:01:53 2021 relations with 1 large ideals: 15092
  97. Tue Nov 2 04:01:53 2021 relations with 2 large ideals: 175789
  98. Tue Nov 2 04:01:53 2021 relations with 3 large ideals: 1151557
  99. Tue Nov 2 04:01:53 2021 relations with 4 large ideals: 4158609
  100. Tue Nov 2 04:01:53 2021 relations with 5 large ideals: 9046560
  101. Tue Nov 2 04:01:53 2021 relations with 6 large ideals: 12392436
  102. Tue Nov 2 04:01:53 2021 relations with 7+ large ideals: 20294686
  103. Tue Nov 2 04:01:53 2021 commencing 2-way merge
  104. Tue Nov 2 04:02:09 2021 reduce to 31319990 relation sets and 30134857 unique ideals
  105. Tue Nov 2 04:02:09 2021 commencing full merge
  106. Tue Nov 2 04:10:30 2021 memory use: 4105.2 MB
  107. Tue Nov 2 04:10:33 2021 found 14237540 cycles, need 14177057
  108. Tue Nov 2 04:10:36 2021 weight of 14177057 cycles is about 1701485985 (120.02/cycle)
  109. Tue Nov 2 04:10:36 2021 distribution of cycle lengths:
  110. Tue Nov 2 04:10:36 2021 1 relations: 650289
  111. Tue Nov 2 04:10:36 2021 2 relations: 919539
  112. Tue Nov 2 04:10:36 2021 3 relations: 1058865
  113. Tue Nov 2 04:10:36 2021 4 relations: 1073035
  114. Tue Nov 2 04:10:36 2021 5 relations: 1077990
  115. Tue Nov 2 04:10:36 2021 6 relations: 1047088
  116. Tue Nov 2 04:10:36 2021 7 relations: 1012937
  117. Tue Nov 2 04:10:36 2021 8 relations: 957567
  118. Tue Nov 2 04:10:36 2021 9 relations: 897195
  119. Tue Nov 2 04:10:36 2021 10+ relations: 5482552
  120. Tue Nov 2 04:10:36 2021 heaviest cycle: 28 relations
  121. Tue Nov 2 04:10:39 2021 commencing cycle optimization
  122. Tue Nov 2 04:10:58 2021 start with 123299982 relations
  123. Tue Nov 2 04:14:03 2021 pruned 5764994 relations
  124. Tue Nov 2 04:14:03 2021 memory use: 3230.1 MB
  125. Tue Nov 2 04:14:03 2021 distribution of cycle lengths:
  126. Tue Nov 2 04:14:03 2021 1 relations: 650289
  127. Tue Nov 2 04:14:03 2021 2 relations: 942769
  128. Tue Nov 2 04:14:03 2021 3 relations: 1105874
  129. Tue Nov 2 04:14:03 2021 4 relations: 1118706
  130. Tue Nov 2 04:14:03 2021 5 relations: 1132532
  131. Tue Nov 2 04:14:03 2021 6 relations: 1097487
  132. Tue Nov 2 04:14:03 2021 7 relations: 1064944
  133. Tue Nov 2 04:14:03 2021 8 relations: 1002608
  134. Tue Nov 2 04:14:03 2021 9 relations: 936528
  135. Tue Nov 2 04:14:03 2021 10+ relations: 5125320
  136. Tue Nov 2 04:14:03 2021 heaviest cycle: 28 relations
  137. Tue Nov 2 04:14:17 2021 RelProcTime: 4003
  138. Tue Nov 2 04:14:17 2021
  139. Tue Nov 2 04:14:17 2021 commencing linear algebra
  140. Tue Nov 2 04:14:17 2021 using VBITS=384
  141. Tue Nov 2 04:14:18 2021 read 14177057 cycles
  142. Tue Nov 2 04:14:37 2021 cycles contain 46623291 unique relations
  143. Tue Nov 2 04:19:37 2021 read 46623291 relations
  144. Tue Nov 2 04:20:36 2021 using 20 quadratic characters above 4294917295
  145. Tue Nov 2 04:22:44 2021 building initial matrix
  146. Tue Nov 2 04:29:09 2021 memory use: 5975.1 MB
  147. Tue Nov 2 04:29:13 2021 read 14177057 cycles
  148. Tue Nov 2 04:29:15 2021 matrix is 14176880 x 14177057 (6650.1 MB) with weight 1905697037 (134.42/col)
  149. Tue Nov 2 04:29:15 2021 sparse part has weight 1587329494 (111.96/col)
  150. Tue Nov 2 04:30:50 2021 filtering completed in 2 passes
  151. Tue Nov 2 04:30:52 2021 matrix is 14176550 x 14176718 (6650.0 MB) with weight 1905684663 (134.42/col)
  152. Tue Nov 2 04:30:52 2021 sparse part has weight 1587324769 (111.97/col)
  153. Tue Nov 2 04:31:23 2021 matrix starts at (0, 0)
  154. Tue Nov 2 04:31:24 2021 matrix is 14176550 x 14176718 (6650.0 MB) with weight 1905684663 (134.42/col)
  155. Tue Nov 2 04:31:28 2021 sparse part has weight 1587324769 (111.97/col)
  156. Tue Nov 2 04:31:28 2021 saving the first 368 matrix rows for later
  157. Tue Nov 2 04:31:30 2021 matrix includes 384 packed rows
  158. Tue Nov 2 04:31:35 2021 matrix is 14176182 x 14176718 (6224.5 MB) with weight 1418483870 (100.06/col)
  159. Tue Nov 2 04:31:35 2021 sparse part has weight 1348178379 (95.10/col)
  160. Tue Nov 2 04:31:36 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  161. Tue Nov 2 04:31:36 2021 selected card has CUDA arch 7.0
  162. Tue Nov 2 04:32:30 2021 commencing Lanczos iteration
  163. Tue Nov 2 04:32:31 2021 memory use: 15585.6 MB
  164. Tue Nov 2 04:32:37 2021 linear algebra at 0.0%, ETA 8h33m
  165. Tue Nov 2 04:32:41 2021 checkpointing every 1690000 dimensions
  166. Tue Nov 2 12:31:53 2021 lanczos halted after 36992 iterations (dim = 14176178)
  167. Tue Nov 2 12:33:29 2021 recovered 37 nontrivial dependencies
  168. Tue Nov 2 12:33:32 2021 BLanczosTime: 29955
  169. Tue Nov 2 12:33:32 2021
  170. Tue Nov 2 12:33:32 2021 commencing square root phase
  171. Tue Nov 2 12:33:32 2021 handling dependencies 1 to 64
  172. Tue Nov 2 12:33:32 2021 reading relations for dependency 1
  173. Tue Nov 2 12:33:35 2021 read 7091256 cycles
  174. Tue Nov 2 12:33:45 2021 cycles contain 23318232 unique relations
  175. Tue Nov 2 12:37:35 2021 read 23318232 relations
  176. Tue Nov 2 12:38:46 2021 multiplying 23318232 relations
  177. Tue Nov 2 12:50:31 2021 multiply complete, coefficients have about 627.20 million bits
  178. Tue Nov 2 12:50:33 2021 initial square root is modulo 423667
  179. Tue Nov 2 13:03:04 2021 GCD is 1, no factor found
  180. Tue Nov 2 13:03:04 2021 reading relations for dependency 2
  181. Tue Nov 2 13:03:05 2021 read 7090132 cycles
  182. Tue Nov 2 13:03:15 2021 cycles contain 23319956 unique relations
  183. Tue Nov 2 13:07:03 2021 read 23319956 relations
  184. Tue Nov 2 13:08:12 2021 multiplying 23319956 relations
  185. Tue Nov 2 13:19:57 2021 multiply complete, coefficients have about 627.25 million bits
  186. Tue Nov 2 13:19:59 2021 initial square root is modulo 424027
  187. Tue Nov 2 13:32:30 2021 sqrtTime: 3538
  188. Tue Nov 2 13:32:30 2021 p77 factor: 12196362391754908707650574017942397551796128797843500213182427014057548673921
  189. Tue Nov 2 13:32:30 2021 p130 factor: 2426925637475601089897374054328427347446037846834752216436668701527353120212787816277262466734627504650884569431952617888788770881
  190. Tue Nov 2 13:32:30 2021 elapsed time 10:24:57
  191.  
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