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gchilders

f77_134p1

Sep 14th, 2021
103
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  1. Tue Sep 14 02:53:43 2021
  2. Tue Sep 14 02:53:43 2021
  3. Tue Sep 14 02:53:43 2021 Msieve v. 1.54 (SVN unknown)
  4. Tue Sep 14 02:53:43 2021 random seeds: 7ace64c4 aa55bff2
  5. Tue Sep 14 02:53:43 2021 factoring 4676129465110670204951355650444020478949404299508814973531936768732738150359993941727026287117425048842569248954913778867744348674134321843875651354557936196472696042439442774015071826235157709689749471724326073055246726629 (223 digits)
  6. Tue Sep 14 02:53:44 2021 no P-1/P+1/ECM available, skipping
  7. Tue Sep 14 02:53:44 2021 commencing number field sieve (223-digit input)
  8. Tue Sep 14 02:53:44 2021 R0: 318270182965192022252424017587489077700729
  9. Tue Sep 14 02:53:44 2021 R1: 1
  10. Tue Sep 14 02:53:44 2021 A0: 1
  11. Tue Sep 14 02:53:44 2021 A1: 0
  12. Tue Sep 14 02:53:44 2021 A2: 0
  13. Tue Sep 14 02:53:44 2021 A3: 0
  14. Tue Sep 14 02:53:44 2021 A4: 0
  15. Tue Sep 14 02:53:44 2021 A5: 0
  16. Tue Sep 14 02:53:44 2021 A6: 5929
  17. Tue Sep 14 02:53:44 2021 skew 0.24, size 1.185e-12, alpha 0.309, combined = 1.358e-13 rroots = 0
  18. Tue Sep 14 02:53:44 2021
  19. Tue Sep 14 02:53:44 2021 commencing relation filtering
  20. Tue Sep 14 02:53:44 2021 setting target matrix density to 120.0
  21. Tue Sep 14 02:53:44 2021 estimated available RAM is 515600.8 MB
  22. Tue Sep 14 02:53:44 2021 commencing duplicate removal, pass 1
  23. Tue Sep 14 03:09:38 2021 skipped 3811 relations with b > 2^32
  24. Tue Sep 14 03:09:38 2021 skipped 77 relations with composite factors
  25. Tue Sep 14 03:09:38 2021 found 7146749 hash collisions in 180066998 relations
  26. Tue Sep 14 03:09:51 2021 added 1218505 free relations
  27. Tue Sep 14 03:09:51 2021 commencing duplicate removal, pass 2
  28. Tue Sep 14 03:12:11 2021 found 0 duplicates and 181285503 unique relations
  29. Tue Sep 14 03:12:11 2021 memory use: 522.4 MB
  30. Tue Sep 14 03:12:11 2021 reading ideals above 720000
  31. Tue Sep 14 03:12:11 2021 commencing singleton removal, initial pass
  32. Tue Sep 14 03:28:34 2021 memory use: 5512.0 MB
  33. Tue Sep 14 03:28:34 2021 reading all ideals from disk
  34. Tue Sep 14 03:28:35 2021 memory use: 7375.2 MB
  35. Tue Sep 14 03:28:41 2021 keeping 172383113 ideals with weight <= 200, target excess is 967386
  36. Tue Sep 14 03:28:51 2021 commencing in-memory singleton removal
  37. Tue Sep 14 03:28:56 2021 begin with 181285503 relations and 172383113 unique ideals
  38. Tue Sep 14 03:29:58 2021 reduce to 109511259 relations and 92537060 ideals in 16 passes
  39. Tue Sep 14 03:29:58 2021 max relations containing the same ideal: 149
  40. Tue Sep 14 03:30:24 2021 removing 11639772 relations and 9639772 ideals in 2000000 cliques
  41. Tue Sep 14 03:30:27 2021 commencing in-memory singleton removal
  42. Tue Sep 14 03:30:30 2021 begin with 97871487 relations and 92537060 unique ideals
  43. Tue Sep 14 03:30:59 2021 reduce to 96957028 relations and 81962218 ideals in 9 passes
  44. Tue Sep 14 03:30:59 2021 max relations containing the same ideal: 140
  45. Tue Sep 14 03:31:21 2021 removing 8846369 relations and 6846369 ideals in 2000000 cliques
  46. Tue Sep 14 03:31:24 2021 commencing in-memory singleton removal
  47. Tue Sep 14 03:31:27 2021 begin with 88110659 relations and 81962218 unique ideals
  48. Tue Sep 14 03:31:50 2021 reduce to 87492206 relations and 74485004 ideals in 8 passes
  49. Tue Sep 14 03:31:50 2021 max relations containing the same ideal: 131
  50. Tue Sep 14 03:32:10 2021 removing 8011260 relations and 6011260 ideals in 2000000 cliques
  51. Tue Sep 14 03:32:13 2021 commencing in-memory singleton removal
  52. Tue Sep 14 03:32:15 2021 begin with 79480946 relations and 74485004 unique ideals
  53. Tue Sep 14 03:32:33 2021 reduce to 78920597 relations and 67901503 ideals in 7 passes
  54. Tue Sep 14 03:32:33 2021 max relations containing the same ideal: 119
  55. Tue Sep 14 03:32:52 2021 removing 7606767 relations and 5606767 ideals in 2000000 cliques
  56. Tue Sep 14 03:32:54 2021 commencing in-memory singleton removal
  57. Tue Sep 14 03:32:56 2021 begin with 71313830 relations and 67901503 unique ideals
  58. Tue Sep 14 03:33:12 2021 reduce to 70763381 relations and 61731998 ideals in 7 passes
  59. Tue Sep 14 03:33:12 2021 max relations containing the same ideal: 114
  60. Tue Sep 14 03:33:30 2021 removing 7364925 relations and 5364925 ideals in 2000000 cliques
  61. Tue Sep 14 03:33:32 2021 commencing in-memory singleton removal
  62. Tue Sep 14 03:33:34 2021 begin with 63398456 relations and 61731998 unique ideals
  63. Tue Sep 14 03:33:50 2021 reduce to 62837115 relations and 55792046 ideals in 8 passes
  64. Tue Sep 14 03:33:50 2021 max relations containing the same ideal: 107
  65. Tue Sep 14 03:34:05 2021 removing 7218673 relations and 5218673 ideals in 2000000 cliques
  66. Tue Sep 14 03:34:07 2021 commencing in-memory singleton removal
  67. Tue Sep 14 03:34:09 2021 begin with 55618442 relations and 55792046 unique ideals
  68. Tue Sep 14 03:34:23 2021 reduce to 55023667 relations and 49962245 ideals in 8 passes
  69. Tue Sep 14 03:34:23 2021 max relations containing the same ideal: 101
  70. Tue Sep 14 03:34:37 2021 removing 7127064 relations and 5127064 ideals in 2000000 cliques
  71. Tue Sep 14 03:34:39 2021 commencing in-memory singleton removal
  72. Tue Sep 14 03:34:40 2021 begin with 47896603 relations and 49962245 unique ideals
  73. Tue Sep 14 03:34:52 2021 reduce to 47243790 relations and 44162284 ideals in 8 passes
  74. Tue Sep 14 03:34:52 2021 max relations containing the same ideal: 85
  75. Tue Sep 14 03:35:04 2021 removing 6961905 relations and 5002567 ideals in 1959338 cliques
  76. Tue Sep 14 03:35:06 2021 commencing in-memory singleton removal
  77. Tue Sep 14 03:35:07 2021 begin with 40281885 relations and 44162284 unique ideals
  78. Tue Sep 14 03:35:21 2021 reduce to 39562459 relations and 38415064 ideals in 11 passes
  79. Tue Sep 14 03:35:21 2021 max relations containing the same ideal: 77
  80. Tue Sep 14 03:35:31 2021 removing 188580 relations and 163353 ideals in 25227 cliques
  81. Tue Sep 14 03:35:32 2021 commencing in-memory singleton removal
  82. Tue Sep 14 03:35:33 2021 begin with 39373879 relations and 38415064 unique ideals
  83. Tue Sep 14 03:35:38 2021 reduce to 39373385 relations and 38251217 ideals in 4 passes
  84. Tue Sep 14 03:35:38 2021 max relations containing the same ideal: 77
  85. Tue Sep 14 03:35:43 2021 relations with 0 large ideals: 36471
  86. Tue Sep 14 03:35:43 2021 relations with 1 large ideals: 15214
  87. Tue Sep 14 03:35:43 2021 relations with 2 large ideals: 185182
  88. Tue Sep 14 03:35:43 2021 relations with 3 large ideals: 1167838
  89. Tue Sep 14 03:35:43 2021 relations with 4 large ideals: 4004857
  90. Tue Sep 14 03:35:43 2021 relations with 5 large ideals: 8195324
  91. Tue Sep 14 03:35:43 2021 relations with 6 large ideals: 10490175
  92. Tue Sep 14 03:35:43 2021 relations with 7+ large ideals: 15278324
  93. Tue Sep 14 03:35:43 2021 commencing 2-way merge
  94. Tue Sep 14 03:35:56 2021 reduce to 25438944 relation sets and 24316776 unique ideals
  95. Tue Sep 14 03:35:56 2021 commencing full merge
  96. Tue Sep 14 03:42:40 2021 memory use: 3359.9 MB
  97. Tue Sep 14 03:42:42 2021 found 11649589 cycles, need 11588976
  98. Tue Sep 14 03:42:45 2021 weight of 11588976 cycles is about 1390701688 (120.00/cycle)
  99. Tue Sep 14 03:42:45 2021 distribution of cycle lengths:
  100. Tue Sep 14 03:42:45 2021 1 relations: 537642
  101. Tue Sep 14 03:42:45 2021 2 relations: 752373
  102. Tue Sep 14 03:42:45 2021 3 relations: 856618
  103. Tue Sep 14 03:42:45 2021 4 relations: 869127
  104. Tue Sep 14 03:42:45 2021 5 relations: 874588
  105. Tue Sep 14 03:42:45 2021 6 relations: 854158
  106. Tue Sep 14 03:42:45 2021 7 relations: 830389
  107. Tue Sep 14 03:42:45 2021 8 relations: 784733
  108. Tue Sep 14 03:42:45 2021 9 relations: 733858
  109. Tue Sep 14 03:42:45 2021 10+ relations: 4495490
  110. Tue Sep 14 03:42:45 2021 heaviest cycle: 28 relations
  111. Tue Sep 14 03:42:47 2021 commencing cycle optimization
  112. Tue Sep 14 03:43:02 2021 start with 101011416 relations
  113. Tue Sep 14 03:45:26 2021 pruned 4605767 relations
  114. Tue Sep 14 03:45:26 2021 memory use: 2667.9 MB
  115. Tue Sep 14 03:45:26 2021 distribution of cycle lengths:
  116. Tue Sep 14 03:45:26 2021 1 relations: 537642
  117. Tue Sep 14 03:45:26 2021 2 relations: 770623
  118. Tue Sep 14 03:45:26 2021 3 relations: 892881
  119. Tue Sep 14 03:45:26 2021 4 relations: 905457
  120. Tue Sep 14 03:45:26 2021 5 relations: 918400
  121. Tue Sep 14 03:45:26 2021 6 relations: 894801
  122. Tue Sep 14 03:45:26 2021 7 relations: 872696
  123. Tue Sep 14 03:45:26 2021 8 relations: 821499
  124. Tue Sep 14 03:45:26 2021 9 relations: 765713
  125. Tue Sep 14 03:45:26 2021 10+ relations: 4209264
  126. Tue Sep 14 03:45:26 2021 heaviest cycle: 28 relations
  127. Tue Sep 14 03:45:38 2021 RelProcTime: 3114
  128. Tue Sep 14 03:45:38 2021
  129. Tue Sep 14 03:45:38 2021 commencing linear algebra
  130. Tue Sep 14 03:45:38 2021 using VBITS=256
  131. Tue Sep 14 03:45:38 2021 read 11588976 cycles
  132. Tue Sep 14 03:45:53 2021 cycles contain 38725918 unique relations
  133. Tue Sep 14 03:49:43 2021 read 38725918 relations
  134. Tue Sep 14 03:50:33 2021 using 20 quadratic characters above 4294917295
  135. Tue Sep 14 03:52:19 2021 building initial matrix
  136. Tue Sep 14 03:57:49 2021 memory use: 5058.5 MB
  137. Tue Sep 14 03:57:52 2021 read 11588976 cycles
  138. Tue Sep 14 03:57:53 2021 matrix is 11588799 x 11588976 (5472.3 MB) with weight 1568678340 (135.36/col)
  139. Tue Sep 14 03:57:53 2021 sparse part has weight 1307052354 (112.78/col)
  140. Tue Sep 14 03:59:07 2021 filtering completed in 2 passes
  141. Tue Sep 14 03:59:09 2021 matrix is 11588454 x 11588628 (5472.3 MB) with weight 1568664936 (135.36/col)
  142. Tue Sep 14 03:59:09 2021 sparse part has weight 1307047006 (112.79/col)
  143. Tue Sep 14 03:59:26 2021 matrix starts at (0, 0)
  144. Tue Sep 14 03:59:27 2021 matrix is 11588454 x 11588628 (5472.3 MB) with weight 1568664936 (135.36/col)
  145. Tue Sep 14 03:59:27 2021 sparse part has weight 1307047006 (112.79/col)
  146. Tue Sep 14 03:59:27 2021 saving the first 240 matrix rows for later
  147. Tue Sep 14 03:59:29 2021 matrix includes 256 packed rows
  148. Tue Sep 14 03:59:32 2021 matrix is 11588214 x 11588628 (5019.6 MB) with weight 1188346885 (102.54/col)
  149. Tue Sep 14 03:59:32 2021 sparse part has weight 1130435341 (97.55/col)
  150. Tue Sep 14 03:59:32 2021 using GPU 0 (Tesla V100-PCIE-32GB)
  151. Tue Sep 14 03:59:32 2021 selected card has CUDA arch 7.0
  152. Tue Sep 14 04:00:13 2021 commencing Lanczos iteration
  153. Tue Sep 14 04:00:14 2021 memory use: 11542.2 MB
  154. Tue Sep 14 04:00:17 2021 linear algebra at 0.0%, ETA 6h18m
  155. Tue Sep 14 04:00:18 2021 checkpointing every 1840000 dimensions
  156. Tue Sep 14 09:37:17 2021 lanczos halted after 45404 iterations (dim = 11588212)
  157. Tue Sep 14 09:37:44 2021 recovered 39 nontrivial dependencies
  158. Tue Sep 14 09:37:45 2021 BLanczosTime: 21127
  159. Tue Sep 14 09:37:45 2021
  160. Tue Sep 14 09:37:45 2021 commencing square root phase
  161. Tue Sep 14 09:37:45 2021 handling dependencies 1 to 64
  162. Tue Sep 14 09:37:45 2021 reading relations for dependency 1
  163. Tue Sep 14 09:37:46 2021 read 5793252 cycles
  164. Tue Sep 14 09:37:53 2021 cycles contain 19358660 unique relations
  165. Tue Sep 14 09:40:48 2021 read 19358660 relations
  166. Tue Sep 14 09:41:47 2021 multiplying 19358660 relations
  167. Tue Sep 14 09:55:17 2021 multiply complete, coefficients have about 724.75 million bits
  168. Tue Sep 14 09:55:18 2021 initial square root is modulo 3177847
  169. Tue Sep 14 10:10:00 2021 sqrtTime: 1935
  170. Tue Sep 14 10:10:00 2021 p97 factor: 4997585888852429406188936009783110825123700474650655513139188137498208440077436687192533082320853
  171. Tue Sep 14 10:10:00 2021 p126 factor: 935677658995556827078490298547208383496081450182116122014412004879929217494518219056183758963602562105396034109717684946634193
  172. Tue Sep 14 10:10:00 2021 elapsed time 07:16:17
  173.  
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