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gchilders

242__773_11m1

Nov 6th, 2021
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  1. Fri Nov 5 23:56:57 2021
  2. Fri Nov 5 23:56:57 2021
  3. Fri Nov 5 23:56:57 2021 Msieve v. 1.54 (SVN unknown)
  4. Fri Nov 5 23:56:57 2021 random seeds: a2880067 803f728b
  5. Fri Nov 5 23:56:57 2021 factoring 1565392700490571135219781149701252087626213584812245008176353441090497415120273943516612687495115240868255179567057728288270347221628555332870444542222570450447289 (163 digits)
  6. Fri Nov 5 23:56:58 2021 no P-1/P+1/ECM available, skipping
  7. Fri Nov 5 23:56:58 2021 commencing number field sieve (163-digit input)
  8. Fri Nov 5 23:56:58 2021 R0: 585790145030680123528128291009059053514115530
  9. Fri Nov 5 23:56:58 2021 R1: -24203101971249059783773
  10. Fri Nov 5 23:56:58 2021 A0: 1
  11. Fri Nov 5 23:56:58 2021 A1: 3
  12. Fri Nov 5 23:56:58 2021 A2: -3
  13. Fri Nov 5 23:56:58 2021 A3: -4
  14. Fri Nov 5 23:56:58 2021 A4: 1
  15. Fri Nov 5 23:56:58 2021 A5: 1
  16. Fri Nov 5 23:56:58 2021 skew 1.00, size 3.040e-15, alpha 2.379, combined = 1.948e-12 rroots = 5
  17. Fri Nov 5 23:56:58 2021
  18. Fri Nov 5 23:56:58 2021 commencing relation filtering
  19. Fri Nov 5 23:56:58 2021 setting target matrix density to 120.0
  20. Fri Nov 5 23:56:58 2021 estimated available RAM is 515600.8 MB
  21. Fri Nov 5 23:56:58 2021 commencing duplicate removal, pass 1
  22. Sat Nov 6 00:05:12 2021 skipped 56 relations with b > 2^32
  23. Sat Nov 6 00:05:12 2021 skipped 18511 relations with composite factors
  24. Sat Nov 6 00:05:12 2021 found 5076159 hash collisions in 107878345 relations
  25. Sat Nov 6 00:05:16 2021 added 2926300 free relations
  26. Sat Nov 6 00:05:16 2021 commencing duplicate removal, pass 2
  27. Sat Nov 6 00:05:36 2021 found 0 duplicates and 110804645 unique relations
  28. Sat Nov 6 00:05:36 2021 memory use: 378.4 MB
  29. Sat Nov 6 00:05:36 2021 reading ideals above 720000
  30. Sat Nov 6 00:05:36 2021 commencing singleton removal, initial pass
  31. Sat Nov 6 00:14:13 2021 memory use: 2756.0 MB
  32. Sat Nov 6 00:14:13 2021 reading all ideals from disk
  33. Sat Nov 6 00:14:14 2021 memory use: 4106.9 MB
  34. Sat Nov 6 00:14:17 2021 keeping 91996343 ideals with weight <= 200, target excess is 564772
  35. Sat Nov 6 00:14:22 2021 commencing in-memory singleton removal
  36. Sat Nov 6 00:14:25 2021 begin with 110804645 relations and 91996343 unique ideals
  37. Sat Nov 6 00:14:54 2021 reduce to 79367067 relations and 57822400 ideals in 11 passes
  38. Sat Nov 6 00:14:54 2021 max relations containing the same ideal: 168
  39. Sat Nov 6 00:15:10 2021 removing 7757261 relations and 5757261 ideals in 2000000 cliques
  40. Sat Nov 6 00:15:12 2021 commencing in-memory singleton removal
  41. Sat Nov 6 00:15:14 2021 begin with 71609806 relations and 57822400 unique ideals
  42. Sat Nov 6 00:15:32 2021 reduce to 70960283 relations and 51395098 ideals in 8 passes
  43. Sat Nov 6 00:15:32 2021 max relations containing the same ideal: 157
  44. Sat Nov 6 00:15:47 2021 removing 6295970 relations and 4295970 ideals in 2000000 cliques
  45. Sat Nov 6 00:15:49 2021 commencing in-memory singleton removal
  46. Sat Nov 6 00:15:51 2021 begin with 64664313 relations and 51395098 unique ideals
  47. Sat Nov 6 00:16:05 2021 reduce to 64223653 relations and 46645640 ideals in 7 passes
  48. Sat Nov 6 00:16:05 2021 max relations containing the same ideal: 146
  49. Sat Nov 6 00:16:18 2021 removing 5863537 relations and 3863537 ideals in 2000000 cliques
  50. Sat Nov 6 00:16:20 2021 commencing in-memory singleton removal
  51. Sat Nov 6 00:16:21 2021 begin with 58360116 relations and 46645640 unique ideals
  52. Sat Nov 6 00:16:34 2021 reduce to 57970712 relations and 42381079 ideals in 7 passes
  53. Sat Nov 6 00:16:34 2021 max relations containing the same ideal: 137
  54. Sat Nov 6 00:16:46 2021 removing 5640622 relations and 3640622 ideals in 2000000 cliques
  55. Sat Nov 6 00:16:48 2021 commencing in-memory singleton removal
  56. Sat Nov 6 00:16:49 2021 begin with 52330090 relations and 42381079 unique ideals
  57. Sat Nov 6 00:16:59 2021 reduce to 51957961 relations and 38356453 ideals in 6 passes
  58. Sat Nov 6 00:16:59 2021 max relations containing the same ideal: 132
  59. Sat Nov 6 00:17:10 2021 removing 5504339 relations and 3504339 ideals in 2000000 cliques
  60. Sat Nov 6 00:17:12 2021 commencing in-memory singleton removal
  61. Sat Nov 6 00:17:13 2021 begin with 46453622 relations and 38356453 unique ideals
  62. Sat Nov 6 00:17:23 2021 reduce to 46078592 relations and 34464254 ideals in 7 passes
  63. Sat Nov 6 00:17:23 2021 max relations containing the same ideal: 121
  64. Sat Nov 6 00:17:33 2021 removing 5413566 relations and 3413566 ideals in 2000000 cliques
  65. Sat Nov 6 00:17:34 2021 commencing in-memory singleton removal
  66. Sat Nov 6 00:17:35 2021 begin with 40665026 relations and 34464254 unique ideals
  67. Sat Nov 6 00:17:42 2021 reduce to 40273913 relations and 30644672 ideals in 6 passes
  68. Sat Nov 6 00:17:42 2021 max relations containing the same ideal: 106
  69. Sat Nov 6 00:17:51 2021 removing 5354057 relations and 3354057 ideals in 2000000 cliques
  70. Sat Nov 6 00:17:53 2021 commencing in-memory singleton removal
  71. Sat Nov 6 00:17:54 2021 begin with 34919856 relations and 30644672 unique ideals
  72. Sat Nov 6 00:18:01 2021 reduce to 34499061 relations and 26851934 ideals in 7 passes
  73. Sat Nov 6 00:18:01 2021 max relations containing the same ideal: 100
  74. Sat Nov 6 00:18:09 2021 removing 5315843 relations and 3315843 ideals in 2000000 cliques
  75. Sat Nov 6 00:18:10 2021 commencing in-memory singleton removal
  76. Sat Nov 6 00:18:11 2021 begin with 29183218 relations and 26851934 unique ideals
  77. Sat Nov 6 00:18:17 2021 reduce to 28715103 relations and 23045216 ideals in 7 passes
  78. Sat Nov 6 00:18:17 2021 max relations containing the same ideal: 88
  79. Sat Nov 6 00:18:24 2021 removing 5291074 relations and 3291074 ideals in 2000000 cliques
  80. Sat Nov 6 00:18:25 2021 commencing in-memory singleton removal
  81. Sat Nov 6 00:18:25 2021 begin with 23424029 relations and 23045216 unique ideals
  82. Sat Nov 6 00:18:31 2021 reduce to 22885054 relations and 19183927 ideals in 8 passes
  83. Sat Nov 6 00:18:31 2021 max relations containing the same ideal: 76
  84. Sat Nov 6 00:18:36 2021 removing 5266816 relations and 3266816 ideals in 2000000 cliques
  85. Sat Nov 6 00:18:37 2021 commencing in-memory singleton removal
  86. Sat Nov 6 00:18:38 2021 begin with 17618238 relations and 19183927 unique ideals
  87. Sat Nov 6 00:18:42 2021 reduce to 16968355 relations and 15219828 ideals in 8 passes
  88. Sat Nov 6 00:18:42 2021 max relations containing the same ideal: 58
  89. Sat Nov 6 00:18:46 2021 removing 3140152 relations and 2046761 ideals in 1093391 cliques
  90. Sat Nov 6 00:18:47 2021 commencing in-memory singleton removal
  91. Sat Nov 6 00:18:47 2021 begin with 13828203 relations and 15219828 unique ideals
  92. Sat Nov 6 00:18:50 2021 reduce to 13423985 relations and 12744685 ideals in 8 passes
  93. Sat Nov 6 00:18:50 2021 max relations containing the same ideal: 53
  94. Sat Nov 6 00:18:53 2021 removing 133782 relations and 109618 ideals in 24164 cliques
  95. Sat Nov 6 00:18:54 2021 commencing in-memory singleton removal
  96. Sat Nov 6 00:18:54 2021 begin with 13290203 relations and 12744685 unique ideals
  97. Sat Nov 6 00:18:55 2021 reduce to 13289050 relations and 12633914 ideals in 4 passes
  98. Sat Nov 6 00:18:55 2021 max relations containing the same ideal: 52
  99. Sat Nov 6 00:18:57 2021 relations with 0 large ideals: 44652
  100. Sat Nov 6 00:18:57 2021 relations with 1 large ideals: 14521
  101. Sat Nov 6 00:18:57 2021 relations with 2 large ideals: 165263
  102. Sat Nov 6 00:18:57 2021 relations with 3 large ideals: 845162
  103. Sat Nov 6 00:18:57 2021 relations with 4 large ideals: 2250878
  104. Sat Nov 6 00:18:57 2021 relations with 5 large ideals: 3477180
  105. Sat Nov 6 00:18:57 2021 relations with 6 large ideals: 3706087
  106. Sat Nov 6 00:18:57 2021 relations with 7+ large ideals: 2785307
  107. Sat Nov 6 00:18:57 2021 commencing 2-way merge
  108. Sat Nov 6 00:19:01 2021 reduce to 9134912 relation sets and 8479776 unique ideals
  109. Sat Nov 6 00:19:01 2021 commencing full merge
  110. Sat Nov 6 00:21:09 2021 memory use: 1110.5 MB
  111. Sat Nov 6 00:21:09 2021 found 4088835 cycles, need 4063976
  112. Sat Nov 6 00:21:10 2021 weight of 4063976 cycles is about 488047995 (120.09/cycle)
  113. Sat Nov 6 00:21:10 2021 distribution of cycle lengths:
  114. Sat Nov 6 00:21:10 2021 1 relations: 121059
  115. Sat Nov 6 00:21:10 2021 2 relations: 187416
  116. Sat Nov 6 00:21:10 2021 3 relations: 245459
  117. Sat Nov 6 00:21:10 2021 4 relations: 273804
  118. Sat Nov 6 00:21:10 2021 5 relations: 292868
  119. Sat Nov 6 00:21:10 2021 6 relations: 297685
  120. Sat Nov 6 00:21:10 2021 7 relations: 295634
  121. Sat Nov 6 00:21:10 2021 8 relations: 287315
  122. Sat Nov 6 00:21:10 2021 9 relations: 271769
  123. Sat Nov 6 00:21:10 2021 10+ relations: 1790967
  124. Sat Nov 6 00:21:10 2021 heaviest cycle: 28 relations
  125. Sat Nov 6 00:21:12 2021 commencing cycle optimization
  126. Sat Nov 6 00:21:17 2021 start with 38796654 relations
  127. Sat Nov 6 00:22:16 2021 pruned 2173893 relations
  128. Sat Nov 6 00:22:16 2021 memory use: 948.5 MB
  129. Sat Nov 6 00:22:16 2021 distribution of cycle lengths:
  130. Sat Nov 6 00:22:16 2021 1 relations: 121059
  131. Sat Nov 6 00:22:16 2021 2 relations: 192199
  132. Sat Nov 6 00:22:16 2021 3 relations: 256644
  133. Sat Nov 6 00:22:16 2021 4 relations: 287200
  134. Sat Nov 6 00:22:16 2021 5 relations: 311336
  135. Sat Nov 6 00:22:16 2021 6 relations: 316609
  136. Sat Nov 6 00:22:16 2021 7 relations: 316721
  137. Sat Nov 6 00:22:16 2021 8 relations: 306528
  138. Sat Nov 6 00:22:16 2021 9 relations: 289444
  139. Sat Nov 6 00:22:16 2021 10+ relations: 1666236
  140. Sat Nov 6 00:22:16 2021 heaviest cycle: 28 relations
  141. Sat Nov 6 00:22:20 2021 RelProcTime: 1522
  142. Sat Nov 6 00:22:20 2021
  143. Sat Nov 6 00:22:20 2021 commencing linear algebra
  144. Sat Nov 6 00:22:20 2021 using VBITS=384
  145. Sat Nov 6 00:22:20 2021 read 4063976 cycles
  146. Sat Nov 6 00:22:25 2021 cycles contain 12986783 unique relations
  147. Sat Nov 6 00:23:11 2021 read 12986783 relations
  148. Sat Nov 6 00:23:24 2021 using 20 quadratic characters above 4294917295
  149. Sat Nov 6 00:24:00 2021 building initial matrix
  150. Sat Nov 6 00:25:30 2021 memory use: 1612.9 MB
  151. Sat Nov 6 00:25:31 2021 read 4063976 cycles
  152. Sat Nov 6 00:25:31 2021 matrix is 4063799 x 4063976 (1891.5 MB) with weight 541015536 (133.12/col)
  153. Sat Nov 6 00:25:31 2021 sparse part has weight 451150890 (111.01/col)
  154. Sat Nov 6 00:25:55 2021 filtering completed in 2 passes
  155. Sat Nov 6 00:25:56 2021 matrix is 4063695 x 4063844 (1891.5 MB) with weight 541010702 (133.13/col)
  156. Sat Nov 6 00:25:56 2021 sparse part has weight 451148812 (111.02/col)
  157. Sat Nov 6 00:26:05 2021 matrix starts at (0, 0)
  158. Sat Nov 6 00:26:05 2021 matrix is 4063695 x 4063844 (1891.5 MB) with weight 541010702 (133.13/col)
  159. Sat Nov 6 00:26:05 2021 sparse part has weight 451148812 (111.02/col)
  160. Sat Nov 6 00:26:05 2021 saving the first 368 matrix rows for later
  161. Sat Nov 6 00:26:06 2021 matrix includes 384 packed rows
  162. Sat Nov 6 00:26:07 2021 matrix is 4063327 x 4063844 (1735.0 MB) with weight 395645662 (97.36/col)
  163. Sat Nov 6 00:26:07 2021 sparse part has weight 373539933 (91.92/col)
  164. Sat Nov 6 00:26:07 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  165. Sat Nov 6 00:26:07 2021 selected card has CUDA arch 7.0
  166. Sat Nov 6 00:26:21 2021 commencing Lanczos iteration
  167. Sat Nov 6 00:26:22 2021 memory use: 4369.1 MB
  168. Sat Nov 6 00:26:23 2021 linear algebra at 0.1%, ETA 0h29m
  169. Sat Nov 6 00:26:24 2021 checkpointing every 7590000 dimensions
  170. Sat Nov 6 01:02:51 2021 lanczos halted after 10604 iterations (dim = 4063323)
  171. Sat Nov 6 01:03:13 2021 recovered 33 nontrivial dependencies
  172. Sat Nov 6 01:03:14 2021 BLanczosTime: 2454
  173. Sat Nov 6 01:03:14 2021
  174. Sat Nov 6 01:03:14 2021 commencing square root phase
  175. Sat Nov 6 01:03:14 2021 handling dependencies 1 to 64
  176. Sat Nov 6 01:03:14 2021 reading relations for dependency 1
  177. Sat Nov 6 01:03:14 2021 read 2031282 cycles
  178. Sat Nov 6 01:03:17 2021 cycles contain 6492776 unique relations
  179. Sat Nov 6 01:03:43 2021 read 6492776 relations
  180. Sat Nov 6 01:03:59 2021 multiplying 6492776 relations
  181. Sat Nov 6 01:05:41 2021 multiply complete, coefficients have about 159.61 million bits
  182. Sat Nov 6 01:05:41 2021 initial square root is modulo 534529
  183. Sat Nov 6 01:07:47 2021 GCD is 1, no factor found
  184. Sat Nov 6 01:07:47 2021 reading relations for dependency 2
  185. Sat Nov 6 01:07:47 2021 read 2031264 cycles
  186. Sat Nov 6 01:07:50 2021 cycles contain 6490686 unique relations
  187. Sat Nov 6 01:08:14 2021 read 6490686 relations
  188. Sat Nov 6 01:08:29 2021 multiplying 6490686 relations
  189. Sat Nov 6 01:10:11 2021 multiply complete, coefficients have about 159.55 million bits
  190. Sat Nov 6 01:10:12 2021 initial square root is modulo 531977
  191. Sat Nov 6 01:12:17 2021 GCD is 1, no factor found
  192. Sat Nov 6 01:12:17 2021 reading relations for dependency 3
  193. Sat Nov 6 01:12:18 2021 read 2031351 cycles
  194. Sat Nov 6 01:12:20 2021 cycles contain 6489702 unique relations
  195. Sat Nov 6 01:12:44 2021 read 6489702 relations
  196. Sat Nov 6 01:12:59 2021 multiplying 6489702 relations
  197. Sat Nov 6 01:14:42 2021 multiply complete, coefficients have about 159.54 million bits
  198. Sat Nov 6 01:14:42 2021 initial square root is modulo 531689
  199. Sat Nov 6 01:16:48 2021 sqrtTime: 814
  200. Sat Nov 6 01:16:48 2021 p54 factor: 846348949567899137907653699871279684403909190271358321
  201. Sat Nov 6 01:16:48 2021 p109 factor: 1849583084246489087549656509310825761235148171947128368919200468278584126989116036261761571335582696720414409
  202. Sat Nov 6 01:16:48 2021 elapsed time 01:19:51
  203.  
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