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gchilders

138__949_11m1

Dec 31st, 2021
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  1. Fri Dec 31 20:09:53 2021
  2. Fri Dec 31 20:09:53 2021
  3. Fri Dec 31 20:09:53 2021 Msieve v. 1.54 (SVN unknown)
  4. Fri Dec 31 20:09:53 2021 random seeds: d957cbb1 0f5f70d3
  5. Fri Dec 31 20:09:53 2021 factoring 135955511998340412322366313210236412380395553121451449354614398884457205189093355500536124682754893375772149744892302887930373235692012752324818396709584756833329517737934165807883106603862241719241095108651 (207 digits)
  6. Fri Dec 31 20:09:54 2021 no P-1/P+1/ECM available, skipping
  7. Fri Dec 31 20:09:54 2021 commencing number field sieve (207-digit input)
  8. Fri Dec 31 20:09:54 2021 R0: 19218208204061420880371405742883045556751744602
  9. Fri Dec 31 20:09:54 2021 R1: -138629752232561610678949
  10. Fri Dec 31 20:09:54 2021 A0: 1
  11. Fri Dec 31 20:09:54 2021 A1: 3
  12. Fri Dec 31 20:09:54 2021 A2: -3
  13. Fri Dec 31 20:09:54 2021 A3: -4
  14. Fri Dec 31 20:09:54 2021 A4: 1
  15. Fri Dec 31 20:09:54 2021 A5: 1
  16. Fri Dec 31 20:09:54 2021 skew 1.00, size 9.497e-16, alpha 2.379, combined = 9.072e-13 rroots = 5
  17. Fri Dec 31 20:09:54 2021
  18. Fri Dec 31 20:09:54 2021 commencing relation filtering
  19. Fri Dec 31 20:09:54 2021 setting target matrix density to 110.0
  20. Fri Dec 31 20:09:54 2021 estimated available RAM is 515600.8 MB
  21. Fri Dec 31 20:09:54 2021 commencing duplicate removal, pass 1
  22. Fri Dec 31 20:10:35 2021 error -9 reading relation 9004638
  23. Fri Dec 31 20:11:21 2021 error -9 reading relation 19091553
  24. Fri Dec 31 20:13:05 2021 error -15 reading relation 41693661
  25. Fri Dec 31 20:13:24 2021 error -9 reading relation 45911322
  26. Fri Dec 31 20:14:00 2021 error -15 reading relation 53711103
  27. Fri Dec 31 20:14:54 2021 error -9 reading relation 65519716
  28. Fri Dec 31 20:18:01 2021 skipped 38 relations with b > 2^32
  29. Fri Dec 31 20:18:01 2021 skipped 4 relations with composite factors
  30. Fri Dec 31 20:18:01 2021 found 4818643 hash collisions in 105090429 relations
  31. Fri Dec 31 20:18:01 2021 commencing duplicate removal, pass 2
  32. Fri Dec 31 20:18:19 2021 found 0 duplicates and 105090429 unique relations
  33. Fri Dec 31 20:18:19 2021 memory use: 261.2 MB
  34. Fri Dec 31 20:18:19 2021 reading ideals above 720000
  35. Fri Dec 31 20:18:19 2021 commencing singleton removal, initial pass
  36. Fri Dec 31 20:26:40 2021 memory use: 2756.0 MB
  37. Fri Dec 31 20:26:40 2021 reading all ideals from disk
  38. Fri Dec 31 20:26:40 2021 memory use: 3995.7 MB
  39. Fri Dec 31 20:26:44 2021 keeping 92654476 ideals with weight <= 200, target excess is 520350
  40. Fri Dec 31 20:26:49 2021 commencing in-memory singleton removal
  41. Fri Dec 31 20:26:52 2021 begin with 105090429 relations and 92654476 unique ideals
  42. Fri Dec 31 20:27:23 2021 reduce to 74198715 relations and 59018898 ideals in 12 passes
  43. Fri Dec 31 20:27:23 2021 max relations containing the same ideal: 168
  44. Fri Dec 31 20:27:39 2021 removing 8256701 relations and 6256701 ideals in 2000000 cliques
  45. Fri Dec 31 20:27:41 2021 commencing in-memory singleton removal
  46. Fri Dec 31 20:27:43 2021 begin with 65942014 relations and 59018898 unique ideals
  47. Fri Dec 31 20:28:00 2021 reduce to 65136320 relations and 51929168 ideals in 8 passes
  48. Fri Dec 31 20:28:00 2021 max relations containing the same ideal: 153
  49. Fri Dec 31 20:28:14 2021 removing 6687130 relations and 4687130 ideals in 2000000 cliques
  50. Fri Dec 31 20:28:16 2021 commencing in-memory singleton removal
  51. Fri Dec 31 20:28:18 2021 begin with 58449190 relations and 51929168 unique ideals
  52. Fri Dec 31 20:28:31 2021 reduce to 57871939 relations and 46646848 ideals in 7 passes
  53. Fri Dec 31 20:28:31 2021 max relations containing the same ideal: 144
  54. Fri Dec 31 20:28:44 2021 removing 6270205 relations and 4270205 ideals in 2000000 cliques
  55. Fri Dec 31 20:28:46 2021 commencing in-memory singleton removal
  56. Fri Dec 31 20:28:47 2021 begin with 51601734 relations and 46646848 unique ideals
  57. Fri Dec 31 20:28:59 2021 reduce to 51056670 relations and 41813607 ideals in 7 passes
  58. Fri Dec 31 20:28:59 2021 max relations containing the same ideal: 130
  59. Fri Dec 31 20:29:10 2021 removing 6089796 relations and 4089796 ideals in 2000000 cliques
  60. Fri Dec 31 20:29:12 2021 commencing in-memory singleton removal
  61. Fri Dec 31 20:29:13 2021 begin with 44966874 relations and 41813607 unique ideals
  62. Fri Dec 31 20:29:23 2021 reduce to 44402438 relations and 37139143 ideals in 7 passes
  63. Fri Dec 31 20:29:23 2021 max relations containing the same ideal: 121
  64. Fri Dec 31 20:29:34 2021 removing 6014538 relations and 4014538 ideals in 2000000 cliques
  65. Fri Dec 31 20:29:35 2021 commencing in-memory singleton removal
  66. Fri Dec 31 20:29:36 2021 begin with 38387900 relations and 37139143 unique ideals
  67. Fri Dec 31 20:29:46 2021 reduce to 37769463 relations and 32481213 ideals in 8 passes
  68. Fri Dec 31 20:29:46 2021 max relations containing the same ideal: 105
  69. Fri Dec 31 20:29:55 2021 removing 6006082 relations and 4006082 ideals in 2000000 cliques
  70. Fri Dec 31 20:29:56 2021 commencing in-memory singleton removal
  71. Fri Dec 31 20:29:57 2021 begin with 31763381 relations and 32481213 unique ideals
  72. Fri Dec 31 20:30:06 2021 reduce to 31044392 relations and 27722022 ideals in 9 passes
  73. Fri Dec 31 20:30:06 2021 max relations containing the same ideal: 94
  74. Fri Dec 31 20:30:14 2021 removing 6045496 relations and 4045496 ideals in 2000000 cliques
  75. Fri Dec 31 20:30:15 2021 commencing in-memory singleton removal
  76. Fri Dec 31 20:30:16 2021 begin with 24998896 relations and 27722022 unique ideals
  77. Fri Dec 31 20:30:23 2021 reduce to 24117036 relations and 22743722 ideals in 10 passes
  78. Fri Dec 31 20:30:23 2021 max relations containing the same ideal: 81
  79. Fri Dec 31 20:30:30 2021 removing 2889593 relations and 2119886 ideals in 769707 cliques
  80. Fri Dec 31 20:30:30 2021 commencing in-memory singleton removal
  81. Fri Dec 31 20:30:31 2021 begin with 21227443 relations and 22743722 unique ideals
  82. Fri Dec 31 20:30:35 2021 reduce to 20945433 relations and 20333216 ideals in 7 passes
  83. Fri Dec 31 20:30:35 2021 max relations containing the same ideal: 74
  84. Fri Dec 31 20:30:41 2021 removing 63934 relations and 55324 ideals in 8610 cliques
  85. Fri Dec 31 20:30:42 2021 commencing in-memory singleton removal
  86. Fri Dec 31 20:30:42 2021 begin with 20881499 relations and 20333216 unique ideals
  87. Fri Dec 31 20:30:45 2021 reduce to 20881367 relations and 20277760 ideals in 5 passes
  88. Fri Dec 31 20:30:45 2021 max relations containing the same ideal: 74
  89. Fri Dec 31 20:30:48 2021 relations with 0 large ideals: 42237
  90. Fri Dec 31 20:30:48 2021 relations with 1 large ideals: 8261
  91. Fri Dec 31 20:30:48 2021 relations with 2 large ideals: 97999
  92. Fri Dec 31 20:30:48 2021 relations with 3 large ideals: 621672
  93. Fri Dec 31 20:30:48 2021 relations with 4 large ideals: 2142087
  94. Fri Dec 31 20:30:48 2021 relations with 5 large ideals: 4385922
  95. Fri Dec 31 20:30:48 2021 relations with 6 large ideals: 6272020
  96. Fri Dec 31 20:30:48 2021 relations with 7+ large ideals: 7311169
  97. Fri Dec 31 20:30:48 2021 commencing 2-way merge
  98. Fri Dec 31 20:30:55 2021 reduce to 13865729 relation sets and 13262122 unique ideals
  99. Fri Dec 31 20:30:55 2021 commencing full merge
  100. Fri Dec 31 20:34:29 2021 memory use: 1795.9 MB
  101. Fri Dec 31 20:34:30 2021 found 6328624 cycles, need 6304322
  102. Fri Dec 31 20:34:31 2021 weight of 6304322 cycles is about 694107252 (110.10/cycle)
  103. Fri Dec 31 20:34:31 2021 distribution of cycle lengths:
  104. Fri Dec 31 20:34:31 2021 1 relations: 326804
  105. Fri Dec 31 20:34:31 2021 2 relations: 412313
  106. Fri Dec 31 20:34:31 2021 3 relations: 455616
  107. Fri Dec 31 20:34:31 2021 4 relations: 462274
  108. Fri Dec 31 20:34:31 2021 5 relations: 465603
  109. Fri Dec 31 20:34:31 2021 6 relations: 453948
  110. Fri Dec 31 20:34:31 2021 7 relations: 443036
  111. Fri Dec 31 20:34:31 2021 8 relations: 420943
  112. Fri Dec 31 20:34:31 2021 9 relations: 393724
  113. Fri Dec 31 20:34:31 2021 10+ relations: 2470061
  114. Fri Dec 31 20:34:31 2021 heaviest cycle: 28 relations
  115. Fri Dec 31 20:34:33 2021 commencing cycle optimization
  116. Fri Dec 31 20:34:41 2021 start with 55323685 relations
  117. Fri Dec 31 20:36:00 2021 pruned 2607014 relations
  118. Fri Dec 31 20:36:00 2021 memory use: 1433.4 MB
  119. Fri Dec 31 20:36:00 2021 distribution of cycle lengths:
  120. Fri Dec 31 20:36:00 2021 1 relations: 326804
  121. Fri Dec 31 20:36:00 2021 2 relations: 420876
  122. Fri Dec 31 20:36:00 2021 3 relations: 473801
  123. Fri Dec 31 20:36:00 2021 4 relations: 481319
  124. Fri Dec 31 20:36:00 2021 5 relations: 489060
  125. Fri Dec 31 20:36:00 2021 6 relations: 476416
  126. Fri Dec 31 20:36:00 2021 7 relations: 467136
  127. Fri Dec 31 20:36:00 2021 8 relations: 442257
  128. Fri Dec 31 20:36:00 2021 9 relations: 412382
  129. Fri Dec 31 20:36:00 2021 10+ relations: 2314271
  130. Fri Dec 31 20:36:00 2021 heaviest cycle: 28 relations
  131. Fri Dec 31 20:36:08 2021 RelProcTime: 1574
  132. Fri Dec 31 20:36:08 2021
  133. Fri Dec 31 20:36:08 2021 commencing linear algebra
  134. Fri Dec 31 20:36:08 2021 using VBITS=384
  135. Fri Dec 31 20:36:09 2021 read 6304322 cycles
  136. Fri Dec 31 20:36:16 2021 cycles contain 20549607 unique relations
  137. Fri Dec 31 20:37:24 2021 read 20549607 relations
  138. Fri Dec 31 20:37:48 2021 using 20 quadratic characters above 4294917295
  139. Fri Dec 31 20:38:44 2021 building initial matrix
  140. Fri Dec 31 20:41:18 2021 memory use: 2543.9 MB
  141. Fri Dec 31 20:41:21 2021 read 6304322 cycles
  142. Fri Dec 31 20:41:22 2021 matrix is 6304144 x 6304322 (2743.1 MB) with weight 782484446 (124.12/col)
  143. Fri Dec 31 20:41:22 2021 sparse part has weight 649726734 (103.06/col)
  144. Fri Dec 31 20:41:57 2021 filtering completed in 2 passes
  145. Fri Dec 31 20:41:58 2021 matrix is 6303942 x 6304093 (2743.0 MB) with weight 782477337 (124.12/col)
  146. Fri Dec 31 20:41:58 2021 sparse part has weight 649724276 (103.06/col)
  147. Fri Dec 31 20:42:09 2021 matrix starts at (0, 0)
  148. Fri Dec 31 20:42:10 2021 matrix is 6303942 x 6304093 (2743.0 MB) with weight 782477337 (124.12/col)
  149. Fri Dec 31 20:42:10 2021 sparse part has weight 649724276 (103.06/col)
  150. Fri Dec 31 20:42:10 2021 saving the first 368 matrix rows for later
  151. Fri Dec 31 20:42:10 2021 matrix includes 384 packed rows
  152. Fri Dec 31 20:42:13 2021 matrix is 6303574 x 6304093 (2548.5 MB) with weight 572604956 (90.83/col)
  153. Fri Dec 31 20:42:13 2021 sparse part has weight 541997622 (85.98/col)
  154. Fri Dec 31 20:42:13 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  155. Fri Dec 31 20:42:13 2021 selected card has CUDA arch 7.0
  156. Fri Dec 31 20:42:34 2021 commencing Lanczos iteration
  157. Fri Dec 31 20:42:34 2021 memory use: 6491.9 MB
  158. Fri Dec 31 20:42:37 2021 linear algebra at 0.0%, ETA 1h31m
  159. Fri Dec 31 20:42:38 2021 checkpointing every 5060000 dimensions
  160. Fri Dec 31 22:08:24 2021 lanczos halted after 16450 iterations (dim = 6303573)
  161. Fri Dec 31 22:08:53 2021 recovered 36 nontrivial dependencies
  162. Fri Dec 31 22:08:53 2021 BLanczosTime: 5565
  163. Fri Dec 31 22:08:53 2021
  164. Fri Dec 31 22:08:53 2021 commencing square root phase
  165. Fri Dec 31 22:08:53 2021 handling dependencies 1 to 64
  166. Fri Dec 31 22:08:53 2021 reading relations for dependency 1
  167. Fri Dec 31 22:08:54 2021 read 3151191 cycles
  168. Fri Dec 31 22:08:58 2021 cycles contain 10272494 unique relations
  169. Fri Dec 31 22:09:36 2021 read 10272494 relations
  170. Fri Dec 31 22:10:03 2021 multiplying 10272494 relations
  171. Fri Dec 31 22:12:56 2021 multiply complete, coefficients have about 254.31 million bits
  172. Fri Dec 31 22:12:57 2021 initial square root is modulo 1337776091
  173. Fri Dec 31 22:16:23 2021 found factor: 33431355173987980756833246539980607242904325376823578300331
  174. Fri Dec 31 22:16:23 2021 reading relations for dependency 2
  175. Fri Dec 31 22:16:24 2021 read 3149114 cycles
  176. Fri Dec 31 22:16:28 2021 cycles contain 10272864 unique relations
  177. Fri Dec 31 22:17:04 2021 read 10272864 relations
  178. Fri Dec 31 22:17:30 2021 multiplying 10272864 relations
  179. Fri Dec 31 22:20:24 2021 multiply complete, coefficients have about 254.33 million bits
  180. Fri Dec 31 22:20:25 2021 initial square root is modulo 1340193817
  181. Fri Dec 31 22:23:50 2021 GCD is N, no factor found
  182. Fri Dec 31 22:23:50 2021 reading relations for dependency 3
  183. Fri Dec 31 22:23:51 2021 read 3153013 cycles
  184. Fri Dec 31 22:23:55 2021 cycles contain 10278962 unique relations
  185. Fri Dec 31 22:24:30 2021 read 10278962 relations
  186. Fri Dec 31 22:24:57 2021 multiplying 10278962 relations
  187. Fri Dec 31 22:27:51 2021 multiply complete, coefficients have about 254.47 million bits
  188. Fri Dec 31 22:27:52 2021 initial square root is modulo 1355969981
  189. Fri Dec 31 22:31:19 2021 sqrtTime: 1346
  190. Fri Dec 31 22:31:19 2021 p54 factor: 279874188391554215053896375572907950216442913623448423
  191. Fri Dec 31 22:31:19 2021 p59 factor: 33431355173987980756833246539980607242904325376823578300331
  192. Fri Dec 31 22:31:19 2021 p95 factor: 14530481004326596481757184027549789559442835114336990379644373324366361834446054777280698727127
  193. Fri Dec 31 22:31:19 2021 elapsed time 02:21:26
  194.  
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