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gchilders

569__213_7m1

Mar 15th, 2022
170
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  1. Tue Mar 15 00:38:16 2022
  2. Tue Mar 15 00:38:16 2022
  3. Tue Mar 15 00:38:16 2022 Msieve v. 1.54 (SVN unknown)
  4. Tue Mar 15 00:38:16 2022 random seeds: 48713a27 862afa89
  5. Tue Mar 15 00:38:16 2022 factoring 6276641660748537126984009399729426958806807569384039051812906486787254519966489595088523443874253573725742761240905832739177709671197778799278724545880473432154971470413312981796512038959918970020836089851109681131 (214 digits)
  6. Tue Mar 15 00:38:16 2022 no P-1/P+1/ECM available, skipping
  7. Tue Mar 15 00:38:16 2022 commencing number field sieve (214-digit input)
  8. Tue Mar 15 00:38:16 2022 R0: 569953323701169877317689682008525521213
  9. Tue Mar 15 00:38:16 2022 R1: -1
  10. Tue Mar 15 00:38:16 2022 A0: 1
  11. Tue Mar 15 00:38:16 2022 A1: 1
  12. Tue Mar 15 00:38:16 2022 A2: 1
  13. Tue Mar 15 00:38:16 2022 A3: 1
  14. Tue Mar 15 00:38:16 2022 A4: 1
  15. Tue Mar 15 00:38:16 2022 A5: 1
  16. Tue Mar 15 00:38:16 2022 A6: 1
  17. Tue Mar 15 00:38:16 2022 skew 1.00, size 1.644e-11, alpha 2.428, combined = 9.165e-13 rroots = 0
  18. Tue Mar 15 00:38:16 2022
  19. Tue Mar 15 00:38:16 2022 commencing relation filtering
  20. Tue Mar 15 00:38:16 2022 setting target matrix density to 110.0
  21. Tue Mar 15 00:38:16 2022 estimated available RAM is 515600.8 MB
  22. Tue Mar 15 00:38:16 2022 commencing duplicate removal, pass 1
  23. Tue Mar 15 00:46:26 2022 skipped 12 relations with b > 2^32
  24. Tue Mar 15 00:46:26 2022 skipped 31 relations with composite factors
  25. Tue Mar 15 00:46:26 2022 found 4838794 hash collisions in 105244944 relations
  26. Tue Mar 15 00:46:31 2022 added 2438534 free relations
  27. Tue Mar 15 00:46:31 2022 commencing duplicate removal, pass 2
  28. Tue Mar 15 00:46:49 2022 found 0 duplicates and 107683478 unique relations
  29. Tue Mar 15 00:46:49 2022 memory use: 261.2 MB
  30. Tue Mar 15 00:46:49 2022 reading ideals above 720000
  31. Tue Mar 15 00:46:49 2022 commencing singleton removal, initial pass
  32. Tue Mar 15 00:55:33 2022 memory use: 2756.0 MB
  33. Tue Mar 15 00:55:33 2022 reading all ideals from disk
  34. Tue Mar 15 00:55:33 2022 memory use: 4080.3 MB
  35. Tue Mar 15 00:55:37 2022 keeping 92588579 ideals with weight <= 200, target excess is 559180
  36. Tue Mar 15 00:55:42 2022 commencing in-memory singleton removal
  37. Tue Mar 15 00:55:44 2022 begin with 107683478 relations and 92588579 unique ideals
  38. Tue Mar 15 00:56:15 2022 reduce to 76050051 relations and 58149409 ideals in 12 passes
  39. Tue Mar 15 00:56:15 2022 max relations containing the same ideal: 166
  40. Tue Mar 15 00:56:31 2022 removing 8068503 relations and 6068503 ideals in 2000000 cliques
  41. Tue Mar 15 00:56:33 2022 commencing in-memory singleton removal
  42. Tue Mar 15 00:56:35 2022 begin with 67981548 relations and 58149409 unique ideals
  43. Tue Mar 15 00:56:52 2022 reduce to 67269761 relations and 51346391 ideals in 8 passes
  44. Tue Mar 15 00:56:52 2022 max relations containing the same ideal: 154
  45. Tue Mar 15 00:57:06 2022 removing 6557148 relations and 4557148 ideals in 2000000 cliques
  46. Tue Mar 15 00:57:08 2022 commencing in-memory singleton removal
  47. Tue Mar 15 00:57:10 2022 begin with 60712613 relations and 51346391 unique ideals
  48. Tue Mar 15 00:57:23 2022 reduce to 60214817 relations and 46276680 ideals in 7 passes
  49. Tue Mar 15 00:57:23 2022 max relations containing the same ideal: 145
  50. Tue Mar 15 00:57:36 2022 removing 6094220 relations and 4094220 ideals in 2000000 cliques
  51. Tue Mar 15 00:57:38 2022 commencing in-memory singleton removal
  52. Tue Mar 15 00:57:39 2022 begin with 54120597 relations and 46276680 unique ideals
  53. Tue Mar 15 00:57:51 2022 reduce to 53672616 relations and 41720452 ideals in 7 passes
  54. Tue Mar 15 00:57:51 2022 max relations containing the same ideal: 133
  55. Tue Mar 15 00:58:03 2022 removing 5861654 relations and 3861654 ideals in 2000000 cliques
  56. Tue Mar 15 00:58:04 2022 commencing in-memory singleton removal
  57. Tue Mar 15 00:58:05 2022 begin with 47810962 relations and 41720452 unique ideals
  58. Tue Mar 15 00:58:16 2022 reduce to 47375763 relations and 37408859 ideals in 7 passes
  59. Tue Mar 15 00:58:16 2022 max relations containing the same ideal: 122
  60. Tue Mar 15 00:58:26 2022 removing 5709540 relations and 3709540 ideals in 2000000 cliques
  61. Tue Mar 15 00:58:28 2022 commencing in-memory singleton removal
  62. Tue Mar 15 00:58:29 2022 begin with 41666223 relations and 37408859 unique ideals
  63. Tue Mar 15 00:58:38 2022 reduce to 41223661 relations and 33240252 ideals in 7 passes
  64. Tue Mar 15 00:58:38 2022 max relations containing the same ideal: 114
  65. Tue Mar 15 00:58:47 2022 removing 5612602 relations and 3612602 ideals in 2000000 cliques
  66. Tue Mar 15 00:58:49 2022 commencing in-memory singleton removal
  67. Tue Mar 15 00:58:50 2022 begin with 35611059 relations and 33240252 unique ideals
  68. Tue Mar 15 00:58:57 2022 reduce to 35146930 relations and 29144038 ideals in 7 passes
  69. Tue Mar 15 00:58:57 2022 max relations containing the same ideal: 105
  70. Tue Mar 15 00:59:05 2022 removing 5534549 relations and 3534549 ideals in 2000000 cliques
  71. Tue Mar 15 00:59:06 2022 commencing in-memory singleton removal
  72. Tue Mar 15 00:59:07 2022 begin with 29612381 relations and 29144038 unique ideals
  73. Tue Mar 15 00:59:13 2022 reduce to 29105183 relations and 25077831 ideals in 7 passes
  74. Tue Mar 15 00:59:13 2022 max relations containing the same ideal: 87
  75. Tue Mar 15 00:59:20 2022 removing 5469352 relations and 3469352 ideals in 2000000 cliques
  76. Tue Mar 15 00:59:21 2022 commencing in-memory singleton removal
  77. Tue Mar 15 00:59:22 2022 begin with 23635831 relations and 25077831 unique ideals
  78. Tue Mar 15 00:59:27 2022 reduce to 23052084 relations and 20990801 ideals in 7 passes
  79. Tue Mar 15 00:59:27 2022 max relations containing the same ideal: 77
  80. Tue Mar 15 00:59:32 2022 removing 4044951 relations and 2632317 ideals in 1412634 cliques
  81. Tue Mar 15 00:59:33 2022 commencing in-memory singleton removal
  82. Tue Mar 15 00:59:34 2022 begin with 19007133 relations and 20990801 unique ideals
  83. Tue Mar 15 00:59:38 2022 reduce to 18544554 relations and 17871105 ideals in 8 passes
  84. Tue Mar 15 00:59:38 2022 max relations containing the same ideal: 69
  85. Tue Mar 15 00:59:43 2022 removing 139641 relations and 114841 ideals in 24800 cliques
  86. Tue Mar 15 00:59:43 2022 commencing in-memory singleton removal
  87. Tue Mar 15 00:59:44 2022 begin with 18404913 relations and 17871105 unique ideals
  88. Tue Mar 15 00:59:46 2022 reduce to 18403992 relations and 17755342 ideals in 5 passes
  89. Tue Mar 15 00:59:46 2022 max relations containing the same ideal: 69
  90. Tue Mar 15 00:59:49 2022 relations with 0 large ideals: 41838
  91. Tue Mar 15 00:59:49 2022 relations with 1 large ideals: 14554
  92. Tue Mar 15 00:59:49 2022 relations with 2 large ideals: 140587
  93. Tue Mar 15 00:59:49 2022 relations with 3 large ideals: 794934
  94. Tue Mar 15 00:59:49 2022 relations with 4 large ideals: 2413428
  95. Tue Mar 15 00:59:49 2022 relations with 5 large ideals: 4316003
  96. Tue Mar 15 00:59:49 2022 relations with 6 large ideals: 4792450
  97. Tue Mar 15 00:59:49 2022 relations with 7+ large ideals: 5890198
  98. Tue Mar 15 00:59:49 2022 commencing 2-way merge
  99. Tue Mar 15 00:59:54 2022 reduce to 12854535 relation sets and 12205885 unique ideals
  100. Tue Mar 15 00:59:54 2022 commencing full merge
  101. Tue Mar 15 01:02:50 2022 memory use: 1626.9 MB
  102. Tue Mar 15 01:02:51 2022 found 5882582 cycles, need 5834085
  103. Tue Mar 15 01:02:52 2022 weight of 5834085 cycles is about 641793263 (110.01/cycle)
  104. Tue Mar 15 01:02:52 2022 distribution of cycle lengths:
  105. Tue Mar 15 01:02:52 2022 1 relations: 217343
  106. Tue Mar 15 01:02:52 2022 2 relations: 332339
  107. Tue Mar 15 01:02:52 2022 3 relations: 417331
  108. Tue Mar 15 01:02:52 2022 4 relations: 451241
  109. Tue Mar 15 01:02:52 2022 5 relations: 474174
  110. Tue Mar 15 01:02:52 2022 6 relations: 474750
  111. Tue Mar 15 01:02:52 2022 7 relations: 462747
  112. Tue Mar 15 01:02:52 2022 8 relations: 435651
  113. Tue Mar 15 01:02:52 2022 9 relations: 400737
  114. Tue Mar 15 01:02:52 2022 10+ relations: 2167772
  115. Tue Mar 15 01:02:52 2022 heaviest cycle: 28 relations
  116. Tue Mar 15 01:02:53 2022 commencing cycle optimization
  117. Tue Mar 15 01:03:00 2022 start with 49889644 relations
  118. Tue Mar 15 01:04:09 2022 pruned 2519326 relations
  119. Tue Mar 15 01:04:09 2022 memory use: 1280.3 MB
  120. Tue Mar 15 01:04:09 2022 distribution of cycle lengths:
  121. Tue Mar 15 01:04:09 2022 1 relations: 217343
  122. Tue Mar 15 01:04:09 2022 2 relations: 340726
  123. Tue Mar 15 01:04:09 2022 3 relations: 436085
  124. Tue Mar 15 01:04:09 2022 4 relations: 472855
  125. Tue Mar 15 01:04:09 2022 5 relations: 502271
  126. Tue Mar 15 01:04:09 2022 6 relations: 502771
  127. Tue Mar 15 01:04:09 2022 7 relations: 490373
  128. Tue Mar 15 01:04:09 2022 8 relations: 459539
  129. Tue Mar 15 01:04:09 2022 9 relations: 420820
  130. Tue Mar 15 01:04:09 2022 10+ relations: 1991302
  131. Tue Mar 15 01:04:09 2022 heaviest cycle: 28 relations
  132. Tue Mar 15 01:04:15 2022 RelProcTime: 1559
  133. Tue Mar 15 01:04:15 2022
  134. Tue Mar 15 01:04:15 2022 commencing linear algebra
  135. Tue Mar 15 01:04:15 2022 using VBITS=384
  136. Tue Mar 15 01:04:15 2022 read 5834085 cycles
  137. Tue Mar 15 01:04:22 2022 cycles contain 18102849 unique relations
  138. Tue Mar 15 01:05:27 2022 read 18102849 relations
  139. Tue Mar 15 01:05:46 2022 using 20 quadratic characters above 4294917295
  140. Tue Mar 15 01:06:35 2022 building initial matrix
  141. Tue Mar 15 01:08:52 2022 memory use: 2291.2 MB
  142. Tue Mar 15 01:08:54 2022 read 5834085 cycles
  143. Tue Mar 15 01:08:54 2022 matrix is 5833908 x 5834085 (2525.1 MB) with weight 720071972 (123.43/col)
  144. Tue Mar 15 01:08:54 2022 sparse part has weight 597761474 (102.46/col)
  145. Tue Mar 15 01:09:27 2022 filtering completed in 2 passes
  146. Tue Mar 15 01:09:28 2022 matrix is 5833662 x 5833814 (2525.1 MB) with weight 720062646 (123.43/col)
  147. Tue Mar 15 01:09:28 2022 sparse part has weight 597757673 (102.46/col)
  148. Tue Mar 15 01:09:36 2022 matrix starts at (0, 0)
  149. Tue Mar 15 01:09:37 2022 matrix is 5833662 x 5833814 (2525.1 MB) with weight 720062646 (123.43/col)
  150. Tue Mar 15 01:09:37 2022 sparse part has weight 597757673 (102.46/col)
  151. Tue Mar 15 01:09:37 2022 saving the first 368 matrix rows for later
  152. Tue Mar 15 01:09:38 2022 matrix includes 384 packed rows
  153. Tue Mar 15 01:09:40 2022 matrix is 5833294 x 5833814 (2342.9 MB) with weight 525717890 (90.12/col)
  154. Tue Mar 15 01:09:40 2022 sparse part has weight 497505768 (85.28/col)
  155. Tue Mar 15 01:09:40 2022 using GPU 0 (Tesla V100-PCIE-32GB)
  156. Tue Mar 15 01:09:40 2022 selected card has CUDA arch 7.0
  157. Tue Mar 15 01:09:59 2022 commencing Lanczos iteration
  158. Tue Mar 15 01:09:59 2022 memory use: 5976.6 MB
  159. Tue Mar 15 01:10:01 2022 linear algebra at 0.0%, ETA 1h24m
  160. Tue Mar 15 01:10:03 2022 checkpointing every 3800000 dimensions
  161. Tue Mar 15 02:22:42 2022 lanczos halted after 15223 iterations (dim = 5833294)
  162. Tue Mar 15 02:23:05 2022 recovered 39 nontrivial dependencies
  163. Tue Mar 15 02:23:05 2022 BLanczosTime: 4730
  164. Tue Mar 15 02:23:05 2022
  165. Tue Mar 15 02:23:05 2022 commencing square root phase
  166. Tue Mar 15 02:23:05 2022 handling dependencies 1 to 64
  167. Tue Mar 15 02:23:05 2022 reading relations for dependency 1
  168. Tue Mar 15 02:23:05 2022 read 2916313 cycles
  169. Tue Mar 15 02:23:09 2022 cycles contain 9051840 unique relations
  170. Tue Mar 15 02:23:45 2022 read 9051840 relations
  171. Tue Mar 15 02:24:09 2022 multiplying 9051840 relations
  172. Tue Mar 15 02:27:39 2022 multiply complete, coefficients have about 222.19 million bits
  173. Tue Mar 15 02:27:40 2022 initial square root is modulo 94101173
  174. Tue Mar 15 02:31:31 2022 sqrtTime: 506
  175. Tue Mar 15 02:31:31 2022 p85 factor: 2447936204033612710879753075861012994265900753252011821961178130149887504571530343677
  176. Tue Mar 15 02:31:31 2022 p130 factor: 2564054426911181181604148088397058087033605510082343714572989309864414799271115608673755165476839115558569865901953941762116311303
  177. Tue Mar 15 02:31:31 2022 elapsed time 01:53:15
  178.  
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