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gchilders

34210243_31m1

Sep 12th, 2022
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  1. Mon Sep 12 22:35:17 2022
  2. Mon Sep 12 22:35:17 2022
  3. Mon Sep 12 22:35:17 2022 Msieve v. 1.54 (SVN unknown)
  4. Mon Sep 12 22:35:17 2022 random seeds: 97eb27ff cf31304b
  5. Mon Sep 12 22:35:17 2022 MPI process 0 of 1
  6. Mon Sep 12 22:35:17 2022 factoring 10512896323946525328323590051713030182707488022156443686427827035707600086867033903192945127273531284579440671455984668440538086981016196248405396732898676231093060782972818311914352957505254809179243 (200 digits)
  7. Mon Sep 12 22:35:18 2022 no P-1/P+1/ECM available, skipping
  8. Mon Sep 12 22:35:18 2022 commencing number field sieve (200-digit input)
  9. Mon Sep 12 22:35:18 2022 R0: -1
  10. Mon Sep 12 22:35:18 2022 R1: 46857681410903935241309012906079659443
  11. Mon Sep 12 22:35:18 2022 A0: -34210243
  12. Mon Sep 12 22:35:18 2022 A1: 0
  13. Mon Sep 12 22:35:18 2022 A2: 0
  14. Mon Sep 12 22:35:18 2022 A3: 0
  15. Mon Sep 12 22:35:18 2022 A4: 0
  16. Mon Sep 12 22:35:18 2022 A5: 0
  17. Mon Sep 12 22:35:18 2022 A6: 1
  18. Mon Sep 12 22:35:18 2022 skew 18.02, size 3.126e-12, alpha 1.040, combined = 2.853e-13 rroots = 2
  19. Mon Sep 12 22:35:18 2022
  20. Mon Sep 12 22:35:18 2022 commencing relation filtering
  21. Mon Sep 12 22:35:18 2022 setting target matrix density to 110.0
  22. Mon Sep 12 22:35:18 2022 estimated available RAM is 257667.4 MB
  23. Mon Sep 12 22:35:18 2022 commencing duplicate removal, pass 1
  24. Mon Sep 12 22:36:01 2022 skipped 1 relations with b > 2^32
  25. Mon Sep 12 22:36:01 2022 skipped 16 relations with composite factors
  26. Mon Sep 12 22:36:01 2022 found 3710552 hash collisions in 91833997 relations
  27. Mon Sep 12 22:36:13 2022 added 1218660 free relations
  28. Mon Sep 12 22:36:13 2022 commencing duplicate removal, pass 2
  29. Mon Sep 12 22:36:30 2022 found 0 duplicates and 93052657 unique relations
  30. Mon Sep 12 22:36:30 2022 memory use: 261.2 MB
  31. Mon Sep 12 22:36:30 2022 reading ideals above 720000
  32. Mon Sep 12 22:36:30 2022 commencing singleton removal, initial pass
  33. Mon Sep 12 22:38:57 2022 memory use: 2756.0 MB
  34. Mon Sep 12 22:38:57 2022 reading all ideals from disk
  35. Mon Sep 12 22:38:58 2022 memory use: 4409.9 MB
  36. Mon Sep 12 22:39:02 2022 keeping 91535322 ideals with weight <= 200, target excess is 489268
  37. Mon Sep 12 22:39:07 2022 commencing in-memory singleton removal
  38. Mon Sep 12 22:39:07 2022 begin with 93052657 relations and 91535322 unique ideals
  39. Mon Sep 12 22:39:13 2022 reduce to 58303283 relations and 53155331 ideals in 16 passes
  40. Mon Sep 12 22:39:13 2022 max relations containing the same ideal: 152
  41. Mon Sep 12 22:39:25 2022 removing 6127726 relations and 5127726 ideals in 1000000 cliques
  42. Mon Sep 12 22:39:27 2022 commencing in-memory singleton removal
  43. Mon Sep 12 22:39:27 2022 begin with 52175557 relations and 53155331 unique ideals
  44. Mon Sep 12 22:39:30 2022 reduce to 51608736 relations and 47448113 ideals in 9 passes
  45. Mon Sep 12 22:39:30 2022 max relations containing the same ideal: 142
  46. Mon Sep 12 22:39:41 2022 removing 4773768 relations and 3773768 ideals in 1000000 cliques
  47. Mon Sep 12 22:39:43 2022 commencing in-memory singleton removal
  48. Mon Sep 12 22:39:43 2022 begin with 46834968 relations and 47448113 unique ideals
  49. Mon Sep 12 22:39:44 2022 reduce to 46432568 relations and 43263746 ideals in 8 passes
  50. Mon Sep 12 22:39:44 2022 max relations containing the same ideal: 130
  51. Mon Sep 12 22:39:55 2022 removing 4401601 relations and 3401601 ideals in 1000000 cliques
  52. Mon Sep 12 22:39:56 2022 commencing in-memory singleton removal
  53. Mon Sep 12 22:39:57 2022 begin with 42030967 relations and 43263746 unique ideals
  54. Mon Sep 12 22:39:58 2022 reduce to 41650064 relations and 39473147 ideals in 8 passes
  55. Mon Sep 12 22:39:58 2022 max relations containing the same ideal: 123
  56. Mon Sep 12 22:40:08 2022 removing 4246328 relations and 3246328 ideals in 1000000 cliques
  57. Mon Sep 12 22:40:09 2022 commencing in-memory singleton removal
  58. Mon Sep 12 22:40:09 2022 begin with 37403736 relations and 39473147 unique ideals
  59. Mon Sep 12 22:40:11 2022 reduce to 37008194 relations and 35822433 ideals in 10 passes
  60. Mon Sep 12 22:40:11 2022 max relations containing the same ideal: 117
  61. Mon Sep 12 22:40:20 2022 removing 2864951 relations and 2246741 ideals in 618210 cliques
  62. Mon Sep 12 22:40:21 2022 commencing in-memory singleton removal
  63. Mon Sep 12 22:40:21 2022 begin with 34143243 relations and 35822433 unique ideals
  64. Mon Sep 12 22:40:22 2022 reduce to 33952210 relations and 33381761 ideals in 7 passes
  65. Mon Sep 12 22:40:22 2022 max relations containing the same ideal: 105
  66. Mon Sep 12 22:40:35 2022 relations with 0 large ideals: 18139
  67. Mon Sep 12 22:40:35 2022 relations with 1 large ideals: 5189
  68. Mon Sep 12 22:40:35 2022 relations with 2 large ideals: 47645
  69. Mon Sep 12 22:40:35 2022 relations with 3 large ideals: 376948
  70. Mon Sep 12 22:40:35 2022 relations with 4 large ideals: 1693423
  71. Mon Sep 12 22:40:35 2022 relations with 5 large ideals: 4631318
  72. Mon Sep 12 22:40:35 2022 relations with 6 large ideals: 8028805
  73. Mon Sep 12 22:40:35 2022 relations with 7+ large ideals: 19150743
  74. Mon Sep 12 22:40:35 2022 commencing 2-way merge
  75. Mon Sep 12 22:40:48 2022 reduce to 22293715 relation sets and 21723266 unique ideals
  76. Mon Sep 12 22:40:48 2022 commencing full merge
  77. Mon Sep 12 22:46:55 2022 memory use: 2873.9 MB
  78. Mon Sep 12 22:46:57 2022 found 10025696 cycles, need 10025466
  79. Mon Sep 12 22:46:59 2022 weight of 10025466 cycles is about 1103094081 (110.03/cycle)
  80. Mon Sep 12 22:46:59 2022 distribution of cycle lengths:
  81. Mon Sep 12 22:46:59 2022 1 relations: 816945
  82. Mon Sep 12 22:46:59 2022 2 relations: 828481
  83. Mon Sep 12 22:46:59 2022 3 relations: 825076
  84. Mon Sep 12 22:46:59 2022 4 relations: 783277
  85. Mon Sep 12 22:46:59 2022 5 relations: 746063
  86. Mon Sep 12 22:46:59 2022 6 relations: 700542
  87. Mon Sep 12 22:46:59 2022 7 relations: 652177
  88. Mon Sep 12 22:46:59 2022 8 relations: 605497
  89. Mon Sep 12 22:46:59 2022 9 relations: 555942
  90. Mon Sep 12 22:46:59 2022 10+ relations: 3511466
  91. Mon Sep 12 22:46:59 2022 heaviest cycle: 28 relations
  92. Mon Sep 12 22:47:00 2022 commencing cycle optimization
  93. Mon Sep 12 22:47:13 2022 start with 81970051 relations
  94. Mon Sep 12 22:49:17 2022 pruned 3454757 relations
  95. Mon Sep 12 22:49:17 2022 memory use: 2235.5 MB
  96. Mon Sep 12 22:49:17 2022 distribution of cycle lengths:
  97. Mon Sep 12 22:49:17 2022 1 relations: 816945
  98. Mon Sep 12 22:49:17 2022 2 relations: 848784
  99. Mon Sep 12 22:49:17 2022 3 relations: 859712
  100. Mon Sep 12 22:49:17 2022 4 relations: 813190
  101. Mon Sep 12 22:49:17 2022 5 relations: 778750
  102. Mon Sep 12 22:49:17 2022 6 relations: 727681
  103. Mon Sep 12 22:49:17 2022 7 relations: 678500
  104. Mon Sep 12 22:49:17 2022 8 relations: 625556
  105. Mon Sep 12 22:49:17 2022 9 relations: 573623
  106. Mon Sep 12 22:49:17 2022 10+ relations: 3302725
  107. Mon Sep 12 22:49:17 2022 heaviest cycle: 28 relations
  108. Mon Sep 12 22:49:28 2022 RelProcTime: 850
  109. Mon Sep 12 22:49:28 2022 elapsed time 00:14:11
  110. Mon Sep 12 22:49:31 2022
  111. Mon Sep 12 22:49:31 2022
  112. Mon Sep 12 22:49:31 2022 Msieve v. 1.54 (SVN unknown)
  113. Mon Sep 12 22:49:31 2022 random seeds: f9dc9ae8 8a283094
  114. Mon Sep 12 22:49:31 2022 MPI process 0 of 4
  115. Mon Sep 12 22:49:31 2022 factoring 10512896323946525328323590051713030182707488022156443686427827035707600086867033903192945127273531284579440671455984668440538086981016196248405396732898676231093060782972818311914352957505254809179243 (200 digits)
  116. Mon Sep 12 22:49:31 2022 no P-1/P+1/ECM available, skipping
  117. Mon Sep 12 22:49:31 2022 commencing number field sieve (200-digit input)
  118. Mon Sep 12 22:49:31 2022 R0: -1
  119. Mon Sep 12 22:49:31 2022 R1: 46857681410903935241309012906079659443
  120. Mon Sep 12 22:49:31 2022 A0: -34210243
  121. Mon Sep 12 22:49:31 2022 A1: 0
  122. Mon Sep 12 22:49:31 2022 A2: 0
  123. Mon Sep 12 22:49:31 2022 A3: 0
  124. Mon Sep 12 22:49:31 2022 A4: 0
  125. Mon Sep 12 22:49:31 2022 A5: 0
  126. Mon Sep 12 22:49:31 2022 A6: 1
  127. Mon Sep 12 22:49:31 2022 skew 18.02, size 3.126e-12, alpha 1.040, combined = 2.853e-13 rroots = 2
  128. Mon Sep 12 22:49:31 2022
  129. Mon Sep 12 22:49:31 2022 commencing linear algebra
  130. Mon Sep 12 22:49:31 2022 using VBITS=256
  131. Mon Sep 12 22:49:31 2022 initialized process (0,0) of 2 x 2 grid
  132. Mon Sep 12 22:49:32 2022 read 10025466 cycles
  133. Mon Sep 12 22:49:46 2022 cycles contain 33546334 unique relations
  134. Mon Sep 12 22:50:05 2022 read 33546334 relations
  135. Mon Sep 12 22:50:10 2022 using 20 quadratic characters above 4294917295
  136. Mon Sep 12 22:50:17 2022 building initial matrix
  137. Mon Sep 12 22:55:07 2022 memory use: 4234.0 MB
  138. Mon Sep 12 22:55:13 2022 read 10025466 cycles
  139. Mon Sep 12 22:55:14 2022 matrix is 10025289 x 10025466 (4353.9 MB) with weight 1257180171 (125.40/col)
  140. Mon Sep 12 22:55:14 2022 sparse part has weight 1041097758 (103.85/col)
  141. Mon Sep 12 22:56:31 2022 filtering completed in 2 passes
  142. Mon Sep 12 22:56:32 2022 matrix is 10025170 x 10025340 (4353.9 MB) with weight 1257176481 (125.40/col)
  143. Mon Sep 12 22:56:32 2022 sparse part has weight 1041096780 (103.85/col)
  144. Mon Sep 12 22:56:52 2022 matrix starts at (0, 0)
  145. Mon Sep 12 22:56:53 2022 matrix is 5012705 x 5012684 (1269.7 MB) with weight 390765287 (77.96/col)
  146. Mon Sep 12 22:56:53 2022 sparse part has weight 282722214 (56.40/col)
  147. Mon Sep 12 22:56:53 2022 saving the first 240 matrix rows for later
  148. Mon Sep 12 22:56:53 2022 matrix includes 256 packed rows
  149. Mon Sep 12 22:56:55 2022 matrix is 5012465 x 5012684 (1140.0 MB) with weight 237905214 (47.46/col)
  150. Mon Sep 12 22:56:55 2022 sparse part has weight 218645759 (43.62/col)
  151. Mon Sep 12 22:56:55 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
  152. Mon Sep 12 22:56:55 2022 selected card has CUDA arch 8.0
  153. Mon Sep 12 22:57:05 2022 commencing Lanczos iteration
  154. Mon Sep 12 22:57:05 2022 memory use: 2624.2 MB
  155. Mon Sep 12 22:57:10 2022 linear algebra at 0.3%, ETA 0h27m
  156. Mon Sep 12 22:57:18 2022 checking every 350000 dimensions, checkpointing every 21350000 dimensions
  157. Mon Sep 12 23:25:41 2022 lanczos halted after 39279 iterations (dim = 10024929)
  158. Mon Sep 12 23:26:10 2022 recovered 33 nontrivial dependencies
  159. Mon Sep 12 23:26:11 2022 BLanczosTime: 2200
  160. Mon Sep 12 23:26:11 2022 elapsed time 00:36:40
  161. Mon Sep 12 23:26:14 2022
  162. Mon Sep 12 23:26:14 2022
  163. Mon Sep 12 23:26:14 2022 Msieve v. 1.54 (SVN unknown)
  164. Mon Sep 12 23:26:14 2022 random seeds: 7b47ac36 ad7ec688
  165. Mon Sep 12 23:26:14 2022 MPI process 0 of 1
  166. Mon Sep 12 23:26:14 2022 factoring 10512896323946525328323590051713030182707488022156443686427827035707600086867033903192945127273531284579440671455984668440538086981016196248405396732898676231093060782972818311914352957505254809179243 (200 digits)
  167. Mon Sep 12 23:26:14 2022 no P-1/P+1/ECM available, skipping
  168. Mon Sep 12 23:26:14 2022 commencing number field sieve (200-digit input)
  169. Mon Sep 12 23:26:14 2022 R0: -1
  170. Mon Sep 12 23:26:14 2022 R1: 46857681410903935241309012906079659443
  171. Mon Sep 12 23:26:14 2022 A0: -34210243
  172. Mon Sep 12 23:26:14 2022 A1: 0
  173. Mon Sep 12 23:26:14 2022 A2: 0
  174. Mon Sep 12 23:26:14 2022 A3: 0
  175. Mon Sep 12 23:26:14 2022 A4: 0
  176. Mon Sep 12 23:26:14 2022 A5: 0
  177. Mon Sep 12 23:26:14 2022 A6: 1
  178. Mon Sep 12 23:26:14 2022 skew 18.02, size 3.126e-12, alpha 1.040, combined = 2.853e-13 rroots = 2
  179. Mon Sep 12 23:26:14 2022
  180. Mon Sep 12 23:26:14 2022 commencing square root phase
  181. Mon Sep 12 23:26:14 2022 reading relations for dependency 1
  182. Mon Sep 12 23:26:15 2022 read 5012200 cycles
  183. Mon Sep 12 23:26:22 2022 cycles contain 16772738 unique relations
  184. Mon Sep 12 23:26:34 2022 read 16772738 relations
  185. Mon Sep 12 23:27:26 2022 multiplying 16772738 relations
  186. Mon Sep 12 23:28:19 2022 multiply complete, coefficients have about 461.72 million bits
  187. Mon Sep 12 23:28:20 2022 initial square root is modulo 192595111
  188. Mon Sep 12 23:30:50 2022 sqrtTime: 276
  189. Mon Sep 12 23:30:50 2022 p85 factor: 1327750533820375863259489801647454124551200445075436039277834517712053179468716809123
  190. Mon Sep 12 23:30:50 2022 p115 factor: 7917824964978517419688958405738129614043272366676248359921306634355473343771296801390797325494603625698293186572441
  191. Mon Sep 12 23:30:50 2022 elapsed time 00:04:36
  192.  
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