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gchilders

515__903_7m1

Dec 12th, 2021
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  1. Sun Dec 12 00:06:05 2021
  2. Sun Dec 12 00:06:05 2021
  3. Sun Dec 12 00:06:05 2021 Msieve v. 1.54 (SVN unknown)
  4. Sun Dec 12 00:06:05 2021 random seeds: ecf2078d 1af2bccc
  5. Sun Dec 12 00:06:05 2021 factoring 4869749349087189798903765200042982042243944027921160646928078015221924739743578881560697191380667477360107956248094065397572704386250690903092422680957540521723917721556103 (172 digits)
  6. Sun Dec 12 00:06:05 2021 no P-1/P+1/ECM available, skipping
  7. Sun Dec 12 00:06:05 2021 commencing number field sieve (172-digit input)
  8. Sun Dec 12 00:06:05 2021 R0: 515549723542377268313809457896536497903
  9. Sun Dec 12 00:06:05 2021 R1: -1
  10. Sun Dec 12 00:06:05 2021 A0: 1
  11. Sun Dec 12 00:06:05 2021 A1: 1
  12. Sun Dec 12 00:06:05 2021 A2: 1
  13. Sun Dec 12 00:06:05 2021 A3: 1
  14. Sun Dec 12 00:06:05 2021 A4: 1
  15. Sun Dec 12 00:06:05 2021 A5: 1
  16. Sun Dec 12 00:06:05 2021 A6: 1
  17. Sun Dec 12 00:06:05 2021 skew 1.00, size 1.691e-11, alpha 2.428, combined = 9.358e-13 rroots = 0
  18. Sun Dec 12 00:06:05 2021
  19. Sun Dec 12 00:06:05 2021 commencing relation filtering
  20. Sun Dec 12 00:06:05 2021 setting target matrix density to 120.0
  21. Sun Dec 12 00:06:05 2021 estimated available RAM is 515600.8 MB
  22. Sun Dec 12 00:06:05 2021 commencing duplicate removal, pass 1
  23. Sun Dec 12 00:10:38 2021 error -15 reading relation 58903770
  24. Sun Dec 12 00:10:45 2021 error -9 reading relation 60355503
  25. Sun Dec 12 00:10:45 2021 error -9 reading relation 60384833
  26. Sun Dec 12 00:10:48 2021 error -9 reading relation 60997459
  27. Sun Dec 12 00:10:53 2021 error -15 reading relation 62204441
  28. Sun Dec 12 00:10:53 2021 error -9 reading relation 62226296
  29. Sun Dec 12 00:10:58 2021 error -9 reading relation 63237477
  30. Sun Dec 12 00:11:07 2021 error -9 reading relation 65120648
  31. Sun Dec 12 00:12:01 2021 error -9 reading relation 76757233
  32. Sun Dec 12 00:12:02 2021 error -9 reading relation 77033813
  33. Sun Dec 12 00:12:03 2021 error -9 reading relation 77277001
  34. Sun Dec 12 00:12:58 2021 error -9 reading relation 89147530
  35. Sun Dec 12 00:13:00 2021 error -15 reading relation 89512927
  36. Sun Dec 12 00:13:00 2021 error -9 reading relation 89520438
  37. Sun Dec 12 00:13:00 2021 error -9 reading relation 89525280
  38. Sun Dec 12 00:13:01 2021 error -15 reading relation 89601597
  39. Sun Dec 12 00:13:01 2021 error -9 reading relation 89606567
  40. Sun Dec 12 00:13:29 2021 error -9 reading relation 95623243
  41. Sun Dec 12 00:13:59 2021 error -15 reading relation 102176788
  42. Sun Dec 12 00:14:02 2021 skipped 13 relations with b > 2^32
  43. Sun Dec 12 00:14:02 2021 skipped 13 relations with composite factors
  44. Sun Dec 12 00:14:02 2021 found 4613442 hash collisions in 102700981 relations
  45. Sun Dec 12 00:14:06 2021 added 2438534 free relations
  46. Sun Dec 12 00:14:06 2021 commencing duplicate removal, pass 2
  47. Sun Dec 12 00:14:24 2021 found 0 duplicates and 105139515 unique relations
  48. Sun Dec 12 00:14:24 2021 memory use: 261.2 MB
  49. Sun Dec 12 00:14:24 2021 reading ideals above 720000
  50. Sun Dec 12 00:14:24 2021 commencing singleton removal, initial pass
  51. Sun Dec 12 00:22:55 2021 memory use: 2756.0 MB
  52. Sun Dec 12 00:22:55 2021 reading all ideals from disk
  53. Sun Dec 12 00:22:56 2021 memory use: 3997.1 MB
  54. Sun Dec 12 00:22:59 2021 keeping 92692311 ideals with weight <= 200, target excess is 532345
  55. Sun Dec 12 00:23:04 2021 commencing in-memory singleton removal
  56. Sun Dec 12 00:23:07 2021 begin with 105139515 relations and 92692311 unique ideals
  57. Sun Dec 12 00:23:37 2021 reduce to 73375284 relations and 58038792 ideals in 12 passes
  58. Sun Dec 12 00:23:37 2021 max relations containing the same ideal: 165
  59. Sun Dec 12 00:23:52 2021 removing 8330250 relations and 6330250 ideals in 2000000 cliques
  60. Sun Dec 12 00:23:54 2021 commencing in-memory singleton removal
  61. Sun Dec 12 00:23:56 2021 begin with 65045034 relations and 58038792 unique ideals
  62. Sun Dec 12 00:24:15 2021 reduce to 64213334 relations and 50848211 ideals in 9 passes
  63. Sun Dec 12 00:24:15 2021 max relations containing the same ideal: 155
  64. Sun Dec 12 00:24:29 2021 removing 6785367 relations and 4785367 ideals in 2000000 cliques
  65. Sun Dec 12 00:24:31 2021 commencing in-memory singleton removal
  66. Sun Dec 12 00:24:32 2021 begin with 57427967 relations and 50848211 unique ideals
  67. Sun Dec 12 00:24:45 2021 reduce to 56834681 relations and 45450669 ideals in 7 passes
  68. Sun Dec 12 00:24:45 2021 max relations containing the same ideal: 142
  69. Sun Dec 12 00:24:58 2021 removing 6334752 relations and 4334752 ideals in 2000000 cliques
  70. Sun Dec 12 00:24:59 2021 commencing in-memory singleton removal
  71. Sun Dec 12 00:25:01 2021 begin with 50499929 relations and 45450669 unique ideals
  72. Sun Dec 12 00:25:12 2021 reduce to 49946705 relations and 40544348 ideals in 7 passes
  73. Sun Dec 12 00:25:12 2021 max relations containing the same ideal: 133
  74. Sun Dec 12 00:25:23 2021 removing 6124384 relations and 4124384 ideals in 2000000 cliques
  75. Sun Dec 12 00:25:25 2021 commencing in-memory singleton removal
  76. Sun Dec 12 00:25:26 2021 begin with 43822321 relations and 40544348 unique ideals
  77. Sun Dec 12 00:25:37 2021 reduce to 43264046 relations and 35841075 ideals in 8 passes
  78. Sun Dec 12 00:25:37 2021 max relations containing the same ideal: 120
  79. Sun Dec 12 00:25:47 2021 removing 6009687 relations and 4009687 ideals in 2000000 cliques
  80. Sun Dec 12 00:25:48 2021 commencing in-memory singleton removal
  81. Sun Dec 12 00:25:49 2021 begin with 37254359 relations and 35841075 unique ideals
  82. Sun Dec 12 00:25:57 2021 reduce to 36659222 relations and 31211246 ideals in 7 passes
  83. Sun Dec 12 00:25:57 2021 max relations containing the same ideal: 106
  84. Sun Dec 12 00:26:06 2021 removing 5942345 relations and 3942345 ideals in 2000000 cliques
  85. Sun Dec 12 00:26:07 2021 commencing in-memory singleton removal
  86. Sun Dec 12 00:26:08 2021 begin with 30716877 relations and 31211246 unique ideals
  87. Sun Dec 12 00:26:15 2021 reduce to 30052742 relations and 26572620 ideals in 7 passes
  88. Sun Dec 12 00:26:15 2021 max relations containing the same ideal: 91
  89. Sun Dec 12 00:26:22 2021 removing 5901402 relations and 3901402 ideals in 2000000 cliques
  90. Sun Dec 12 00:26:23 2021 commencing in-memory singleton removal
  91. Sun Dec 12 00:26:24 2021 begin with 24151340 relations and 26572620 unique ideals
  92. Sun Dec 12 00:26:30 2021 reduce to 23382149 relations and 21856614 ideals in 8 passes
  93. Sun Dec 12 00:26:30 2021 max relations containing the same ideal: 77
  94. Sun Dec 12 00:26:36 2021 removing 3105601 relations and 2197587 ideals in 908014 cliques
  95. Sun Dec 12 00:26:36 2021 commencing in-memory singleton removal
  96. Sun Dec 12 00:26:37 2021 begin with 20276548 relations and 21856614 unique ideals
  97. Sun Dec 12 00:26:41 2021 reduce to 19969336 relations and 19340581 ideals in 7 passes
  98. Sun Dec 12 00:26:41 2021 max relations containing the same ideal: 69
  99. Sun Dec 12 00:26:46 2021 removing 74656 relations and 63422 ideals in 11234 cliques
  100. Sun Dec 12 00:26:47 2021 commencing in-memory singleton removal
  101. Sun Dec 12 00:26:47 2021 begin with 19894680 relations and 19340581 unique ideals
  102. Sun Dec 12 00:26:50 2021 reduce to 19894496 relations and 19276975 ideals in 5 passes
  103. Sun Dec 12 00:26:50 2021 max relations containing the same ideal: 68
  104. Sun Dec 12 00:26:53 2021 relations with 0 large ideals: 38899
  105. Sun Dec 12 00:26:53 2021 relations with 1 large ideals: 14016
  106. Sun Dec 12 00:26:53 2021 relations with 2 large ideals: 116350
  107. Sun Dec 12 00:26:53 2021 relations with 3 large ideals: 702012
  108. Sun Dec 12 00:26:53 2021 relations with 4 large ideals: 2285099
  109. Sun Dec 12 00:26:53 2021 relations with 5 large ideals: 4399152
  110. Sun Dec 12 00:26:53 2021 relations with 6 large ideals: 5263000
  111. Sun Dec 12 00:26:53 2021 relations with 7+ large ideals: 7075968
  112. Sun Dec 12 00:26:53 2021 commencing 2-way merge
  113. Sun Dec 12 00:26:59 2021 reduce to 13449965 relation sets and 12832444 unique ideals
  114. Sun Dec 12 00:26:59 2021 commencing full merge
  115. Sun Dec 12 00:30:33 2021 memory use: 1779.4 MB
  116. Sun Dec 12 00:30:34 2021 found 6015975 cycles, need 6008644
  117. Sun Dec 12 00:30:35 2021 weight of 6008644 cycles is about 721334895 (120.05/cycle)
  118. Sun Dec 12 00:30:35 2021 distribution of cycle lengths:
  119. Sun Dec 12 00:30:35 2021 1 relations: 224309
  120. Sun Dec 12 00:30:35 2021 2 relations: 320125
  121. Sun Dec 12 00:30:35 2021 3 relations: 393505
  122. Sun Dec 12 00:30:35 2021 4 relations: 415446
  123. Sun Dec 12 00:30:35 2021 5 relations: 429395
  124. Sun Dec 12 00:30:35 2021 6 relations: 430866
  125. Sun Dec 12 00:30:35 2021 7 relations: 423755
  126. Sun Dec 12 00:30:35 2021 8 relations: 408424
  127. Sun Dec 12 00:30:35 2021 9 relations: 385497
  128. Sun Dec 12 00:30:35 2021 10+ relations: 2577322
  129. Sun Dec 12 00:30:35 2021 heaviest cycle: 28 relations
  130. Sun Dec 12 00:30:37 2021 commencing cycle optimization
  131. Sun Dec 12 00:30:44 2021 start with 56301714 relations
  132. Sun Dec 12 00:32:12 2021 pruned 2875785 relations
  133. Sun Dec 12 00:32:12 2021 memory use: 1405.9 MB
  134. Sun Dec 12 00:32:12 2021 distribution of cycle lengths:
  135. Sun Dec 12 00:32:12 2021 1 relations: 224309
  136. Sun Dec 12 00:32:12 2021 2 relations: 327826
  137. Sun Dec 12 00:32:12 2021 3 relations: 410147
  138. Sun Dec 12 00:32:12 2021 4 relations: 434115
  139. Sun Dec 12 00:32:12 2021 5 relations: 453292
  140. Sun Dec 12 00:32:12 2021 6 relations: 453965
  141. Sun Dec 12 00:32:12 2021 7 relations: 449280
  142. Sun Dec 12 00:32:12 2021 8 relations: 431590
  143. Sun Dec 12 00:32:12 2021 9 relations: 406090
  144. Sun Dec 12 00:32:12 2021 10+ relations: 2418030
  145. Sun Dec 12 00:32:12 2021 heaviest cycle: 28 relations
  146. Sun Dec 12 00:32:18 2021 RelProcTime: 1573
  147. Sun Dec 12 00:32:18 2021
  148. Sun Dec 12 00:32:18 2021 commencing linear algebra
  149. Sun Dec 12 00:32:18 2021 using VBITS=384
  150. Sun Dec 12 00:32:18 2021 read 6008644 cycles
  151. Sun Dec 12 00:32:26 2021 cycles contain 19585015 unique relations
  152. Sun Dec 12 00:33:33 2021 read 19585015 relations
  153. Sun Dec 12 00:33:56 2021 using 20 quadratic characters above 4294917295
  154. Sun Dec 12 00:34:50 2021 building initial matrix
  155. Sun Dec 12 00:37:26 2021 memory use: 2451.5 MB
  156. Sun Dec 12 00:37:27 2021 read 6008644 cycles
  157. Sun Dec 12 00:37:28 2021 matrix is 6008467 x 6008644 (2806.3 MB) with weight 797680072 (132.76/col)
  158. Sun Dec 12 00:37:28 2021 sparse part has weight 669568466 (111.43/col)
  159. Sun Dec 12 00:38:05 2021 filtering completed in 2 passes
  160. Sun Dec 12 00:38:06 2021 matrix is 6008408 x 6008560 (2806.3 MB) with weight 797677795 (132.76/col)
  161. Sun Dec 12 00:38:06 2021 sparse part has weight 669567809 (111.44/col)
  162. Sun Dec 12 00:38:15 2021 matrix starts at (0, 0)
  163. Sun Dec 12 00:38:16 2021 matrix is 6008408 x 6008560 (2806.3 MB) with weight 797677795 (132.76/col)
  164. Sun Dec 12 00:38:16 2021 sparse part has weight 669567809 (111.44/col)
  165. Sun Dec 12 00:38:16 2021 saving the first 368 matrix rows for later
  166. Sun Dec 12 00:38:17 2021 matrix includes 384 packed rows
  167. Sun Dec 12 00:38:19 2021 matrix is 6008040 x 6008560 (2585.6 MB) with weight 589041399 (98.03/col)
  168. Sun Dec 12 00:38:19 2021 sparse part has weight 557634043 (92.81/col)
  169. Sun Dec 12 00:38:19 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  170. Sun Dec 12 00:38:19 2021 selected card has CUDA arch 7.0
  171. Sun Dec 12 00:38:39 2021 commencing Lanczos iteration
  172. Sun Dec 12 00:38:40 2021 memory use: 6500.7 MB
  173. Sun Dec 12 00:38:42 2021 linear algebra at 0.0%, ETA 1h26m
  174. Sun Dec 12 00:38:44 2021 checkpointing every 3800000 dimensions
  175. Sun Dec 12 02:00:38 2021 lanczos halted after 15679 iterations (dim = 6008038)
  176. Sun Dec 12 02:01:02 2021 recovered 39 nontrivial dependencies
  177. Sun Dec 12 02:01:02 2021 BLanczosTime: 5324
  178. Sun Dec 12 02:01:02 2021
  179. Sun Dec 12 02:01:02 2021 commencing square root phase
  180. Sun Dec 12 02:01:02 2021 handling dependencies 1 to 64
  181. Sun Dec 12 02:01:02 2021 reading relations for dependency 1
  182. Sun Dec 12 02:01:03 2021 read 3002866 cycles
  183. Sun Dec 12 02:01:07 2021 cycles contain 9788926 unique relations
  184. Sun Dec 12 02:01:45 2021 read 9788926 relations
  185. Sun Dec 12 02:02:10 2021 multiplying 9788926 relations
  186. Sun Dec 12 02:05:59 2021 multiply complete, coefficients have about 239.90 million bits
  187. Sun Dec 12 02:06:00 2021 initial square root is modulo 406679129
  188. Sun Dec 12 02:10:15 2021 GCD is 1, no factor found
  189. Sun Dec 12 02:10:15 2021 reading relations for dependency 2
  190. Sun Dec 12 02:10:16 2021 read 3002908 cycles
  191. Sun Dec 12 02:10:20 2021 cycles contain 9791744 unique relations
  192. Sun Dec 12 02:10:56 2021 read 9791744 relations
  193. Sun Dec 12 02:11:21 2021 multiplying 9791744 relations
  194. Sun Dec 12 02:15:09 2021 multiply complete, coefficients have about 239.96 million bits
  195. Sun Dec 12 02:15:10 2021 initial square root is modulo 408860987
  196. Sun Dec 12 02:19:25 2021 sqrtTime: 1103
  197. Sun Dec 12 02:19:25 2021 p84 factor: 625413824153107623065399287081156430062031604060521931822883779243865232430616959787
  198. Sun Dec 12 02:19:25 2021 p88 factor: 7786443409180264548151290414562711067605032854055642813932898532418192009113342473768469
  199. Sun Dec 12 02:19:25 2021 elapsed time 02:13:20
  200.  
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