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gchilders

357_053_7m1

Dec 4th, 2021
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  1. Sat Dec 4 00:02:12 2021
  2. Sat Dec 4 00:02:12 2021
  3. Sat Dec 4 00:02:12 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Dec 4 00:02:12 2021 random seeds: 0d08ace8 5fa7a79c
  5. Sat Dec 4 00:02:12 2021 factoring 4871369519232412117148509979332664906488924893955020377319005370243298132229521921294143746381901101697288205758961469640699858848542349291982123264053063994613507367768830036687308786770441643794116946162461482388261 (217 digits)
  6. Sat Dec 4 00:02:13 2021 no P-1/P+1/ECM available, skipping
  7. Sat Dec 4 00:02:13 2021 commencing number field sieve (217-digit input)
  8. Sat Dec 4 00:02:13 2021 R0: 357419936687223109590783114499891218053
  9. Sat Dec 4 00:02:13 2021 R1: -1
  10. Sat Dec 4 00:02:13 2021 A0: 1
  11. Sat Dec 4 00:02:13 2021 A1: 1
  12. Sat Dec 4 00:02:13 2021 A2: 1
  13. Sat Dec 4 00:02:13 2021 A3: 1
  14. Sat Dec 4 00:02:13 2021 A4: 1
  15. Sat Dec 4 00:02:13 2021 A5: 1
  16. Sat Dec 4 00:02:13 2021 A6: 1
  17. Sat Dec 4 00:02:13 2021 skew 1.00, size 1.878e-11, alpha 2.428, combined = 1.010e-12 rroots = 0
  18. Sat Dec 4 00:02:13 2021
  19. Sat Dec 4 00:02:13 2021 commencing relation filtering
  20. Sat Dec 4 00:02:13 2021 setting target matrix density to 100.0
  21. Sat Dec 4 00:02:13 2021 estimated available RAM is 515600.8 MB
  22. Sat Dec 4 00:02:13 2021 commencing duplicate removal, pass 1
  23. Sat Dec 4 00:02:17 2021 error -9 reading relation 1000192
  24. Sat Dec 4 00:02:22 2021 error -9 reading relation 2068410
  25. Sat Dec 4 00:03:13 2021 error -9 reading relation 13002643
  26. Sat Dec 4 00:05:38 2021 error -9 reading relation 44381295
  27. Sat Dec 4 00:06:03 2021 error -9 reading relation 49623966
  28. Sat Dec 4 00:06:08 2021 error -9 reading relation 50668175
  29. Sat Dec 4 00:06:21 2021 error -9 reading relation 53663139
  30. Sat Dec 4 00:06:22 2021 error -9 reading relation 53678999
  31. Sat Dec 4 00:07:55 2021 error -15 reading relation 73655423
  32. Sat Dec 4 00:08:07 2021 error -9 reading relation 76408397
  33. Sat Dec 4 00:08:11 2021 error -9 reading relation 77205377
  34. Sat Dec 4 00:08:20 2021 error -15 reading relation 79060629
  35. Sat Dec 4 00:09:50 2021 skipped 16 relations with b > 2^32
  36. Sat Dec 4 00:09:50 2021 skipped 12 relations with composite factors
  37. Sat Dec 4 00:09:50 2021 found 4249297 hash collisions in 98470826 relations
  38. Sat Dec 4 00:09:54 2021 added 2438534 free relations
  39. Sat Dec 4 00:09:54 2021 commencing duplicate removal, pass 2
  40. Sat Dec 4 00:10:12 2021 found 0 duplicates and 100909360 unique relations
  41. Sat Dec 4 00:10:12 2021 memory use: 261.2 MB
  42. Sat Dec 4 00:10:12 2021 reading ideals above 720000
  43. Sat Dec 4 00:10:12 2021 commencing singleton removal, initial pass
  44. Sat Dec 4 00:18:23 2021 memory use: 2756.0 MB
  45. Sat Dec 4 00:18:23 2021 reading all ideals from disk
  46. Sat Dec 4 00:18:23 2021 memory use: 3813.7 MB
  47. Sat Dec 4 00:18:27 2021 keeping 90762714 ideals with weight <= 200, target excess is 518336
  48. Sat Dec 4 00:18:31 2021 commencing in-memory singleton removal
  49. Sat Dec 4 00:18:34 2021 begin with 100909360 relations and 90762714 unique ideals
  50. Sat Dec 4 00:19:01 2021 reduce to 67003065 relations and 53468454 ideals in 12 passes
  51. Sat Dec 4 00:19:01 2021 max relations containing the same ideal: 160
  52. Sat Dec 4 00:19:16 2021 removing 8520969 relations and 6520969 ideals in 2000000 cliques
  53. Sat Dec 4 00:19:18 2021 commencing in-memory singleton removal
  54. Sat Dec 4 00:19:20 2021 begin with 58482096 relations and 53468454 unique ideals
  55. Sat Dec 4 00:19:36 2021 reduce to 57559733 relations and 45990848 ideals in 9 passes
  56. Sat Dec 4 00:19:36 2021 max relations containing the same ideal: 147
  57. Sat Dec 4 00:19:49 2021 removing 6923642 relations and 4923642 ideals in 2000000 cliques
  58. Sat Dec 4 00:19:51 2021 commencing in-memory singleton removal
  59. Sat Dec 4 00:19:52 2021 begin with 50636091 relations and 45990848 unique ideals
  60. Sat Dec 4 00:20:06 2021 reduce to 49984223 relations and 40392397 ideals in 9 passes
  61. Sat Dec 4 00:20:06 2021 max relations containing the same ideal: 131
  62. Sat Dec 4 00:20:18 2021 removing 6409412 relations and 4409412 ideals in 2000000 cliques
  63. Sat Dec 4 00:20:19 2021 commencing in-memory singleton removal
  64. Sat Dec 4 00:20:21 2021 begin with 43574811 relations and 40392397 unique ideals
  65. Sat Dec 4 00:20:31 2021 reduce to 42971813 relations and 35357441 ideals in 8 passes
  66. Sat Dec 4 00:20:31 2021 max relations containing the same ideal: 119
  67. Sat Dec 4 00:20:41 2021 removing 6155217 relations and 4155217 ideals in 2000000 cliques
  68. Sat Dec 4 00:20:43 2021 commencing in-memory singleton removal
  69. Sat Dec 4 00:20:44 2021 begin with 36816596 relations and 35357441 unique ideals
  70. Sat Dec 4 00:20:52 2021 reduce to 36214138 relations and 30573969 ideals in 7 passes
  71. Sat Dec 4 00:20:52 2021 max relations containing the same ideal: 103
  72. Sat Dec 4 00:21:00 2021 removing 5991853 relations and 3991853 ideals in 2000000 cliques
  73. Sat Dec 4 00:21:02 2021 commencing in-memory singleton removal
  74. Sat Dec 4 00:21:03 2021 begin with 30222285 relations and 30573969 unique ideals
  75. Sat Dec 4 00:21:10 2021 reduce to 29583766 relations and 25912431 ideals in 8 passes
  76. Sat Dec 4 00:21:10 2021 max relations containing the same ideal: 90
  77. Sat Dec 4 00:21:17 2021 removing 5862776 relations and 3862776 ideals in 2000000 cliques
  78. Sat Dec 4 00:21:18 2021 commencing in-memory singleton removal
  79. Sat Dec 4 00:21:19 2021 begin with 23720990 relations and 25912431 unique ideals
  80. Sat Dec 4 00:21:24 2021 reduce to 23006871 relations and 21293116 ideals in 8 passes
  81. Sat Dec 4 00:21:24 2021 max relations containing the same ideal: 81
  82. Sat Dec 4 00:21:30 2021 removing 3566495 relations and 2454010 ideals in 1112485 cliques
  83. Sat Dec 4 00:21:31 2021 commencing in-memory singleton removal
  84. Sat Dec 4 00:21:32 2021 begin with 19440376 relations and 21293116 unique ideals
  85. Sat Dec 4 00:21:36 2021 reduce to 19064425 relations and 18446497 ideals in 8 passes
  86. Sat Dec 4 00:21:36 2021 max relations containing the same ideal: 72
  87. Sat Dec 4 00:21:41 2021 removing 103590 relations and 86932 ideals in 16658 cliques
  88. Sat Dec 4 00:21:42 2021 commencing in-memory singleton removal
  89. Sat Dec 4 00:21:42 2021 begin with 18960835 relations and 18446497 unique ideals
  90. Sat Dec 4 00:21:45 2021 reduce to 18960452 relations and 18359182 ideals in 6 passes
  91. Sat Dec 4 00:21:45 2021 max relations containing the same ideal: 71
  92. Sat Dec 4 00:21:48 2021 relations with 0 large ideals: 38763
  93. Sat Dec 4 00:21:48 2021 relations with 1 large ideals: 12129
  94. Sat Dec 4 00:21:48 2021 relations with 2 large ideals: 114380
  95. Sat Dec 4 00:21:48 2021 relations with 3 large ideals: 684651
  96. Sat Dec 4 00:21:48 2021 relations with 4 large ideals: 2216639
  97. Sat Dec 4 00:21:48 2021 relations with 5 large ideals: 4237863
  98. Sat Dec 4 00:21:48 2021 relations with 6 large ideals: 5015906
  99. Sat Dec 4 00:21:48 2021 relations with 7+ large ideals: 6640121
  100. Sat Dec 4 00:21:48 2021 commencing 2-way merge
  101. Sat Dec 4 00:21:54 2021 reduce to 12921402 relation sets and 12320132 unique ideals
  102. Sat Dec 4 00:21:54 2021 commencing full merge
  103. Sat Dec 4 00:24:44 2021 memory use: 1669.2 MB
  104. Sat Dec 4 00:24:45 2021 found 6151330 cycles, need 6088332
  105. Sat Dec 4 00:24:46 2021 weight of 6088332 cycles is about 609435016 (100.10/cycle)
  106. Sat Dec 4 00:24:46 2021 distribution of cycle lengths:
  107. Sat Dec 4 00:24:46 2021 1 relations: 297516
  108. Sat Dec 4 00:24:46 2021 2 relations: 418323
  109. Sat Dec 4 00:24:46 2021 3 relations: 494310
  110. Sat Dec 4 00:24:46 2021 4 relations: 516889
  111. Sat Dec 4 00:24:46 2021 5 relations: 526637
  112. Sat Dec 4 00:24:46 2021 6 relations: 516783
  113. Sat Dec 4 00:24:46 2021 7 relations: 493219
  114. Sat Dec 4 00:24:46 2021 8 relations: 457286
  115. Sat Dec 4 00:24:46 2021 9 relations: 413730
  116. Sat Dec 4 00:24:46 2021 10+ relations: 1953639
  117. Sat Dec 4 00:24:46 2021 heaviest cycle: 27 relations
  118. Sat Dec 4 00:24:48 2021 commencing cycle optimization
  119. Sat Dec 4 00:24:54 2021 start with 47621989 relations
  120. Sat Dec 4 00:25:54 2021 pruned 2091351 relations
  121. Sat Dec 4 00:25:55 2021 memory use: 1281.4 MB
  122. Sat Dec 4 00:25:55 2021 distribution of cycle lengths:
  123. Sat Dec 4 00:25:55 2021 1 relations: 297516
  124. Sat Dec 4 00:25:55 2021 2 relations: 428107
  125. Sat Dec 4 00:25:55 2021 3 relations: 515069
  126. Sat Dec 4 00:25:55 2021 4 relations: 539327
  127. Sat Dec 4 00:25:55 2021 5 relations: 554650
  128. Sat Dec 4 00:25:55 2021 6 relations: 542470
  129. Sat Dec 4 00:25:55 2021 7 relations: 518818
  130. Sat Dec 4 00:25:55 2021 8 relations: 476515
  131. Sat Dec 4 00:25:55 2021 9 relations: 428127
  132. Sat Dec 4 00:25:55 2021 10+ relations: 1787733
  133. Sat Dec 4 00:25:55 2021 heaviest cycle: 27 relations
  134. Sat Dec 4 00:26:00 2021 RelProcTime: 1427
  135. Sat Dec 4 00:26:00 2021
  136. Sat Dec 4 00:26:00 2021 commencing linear algebra
  137. Sat Dec 4 00:26:00 2021 using VBITS=384
  138. Sat Dec 4 00:26:01 2021 read 6088332 cycles
  139. Sat Dec 4 00:26:07 2021 cycles contain 18664615 unique relations
  140. Sat Dec 4 00:27:11 2021 read 18664615 relations
  141. Sat Dec 4 00:27:29 2021 using 20 quadratic characters above 4294917295
  142. Sat Dec 4 00:28:20 2021 building initial matrix
  143. Sat Dec 4 00:30:33 2021 memory use: 2340.7 MB
  144. Sat Dec 4 00:30:34 2021 read 6088332 cycles
  145. Sat Dec 4 00:30:35 2021 matrix is 6088155 x 6088332 (2443.6 MB) with weight 698266265 (114.69/col)
  146. Sat Dec 4 00:30:35 2021 sparse part has weight 573602800 (94.21/col)
  147. Sat Dec 4 00:31:06 2021 filtering completed in 2 passes
  148. Sat Dec 4 00:31:07 2021 matrix is 6087750 x 6087902 (2443.6 MB) with weight 698251386 (114.69/col)
  149. Sat Dec 4 00:31:07 2021 sparse part has weight 573596622 (94.22/col)
  150. Sat Dec 4 00:31:15 2021 matrix starts at (0, 0)
  151. Sat Dec 4 00:31:15 2021 matrix is 6087750 x 6087902 (2443.6 MB) with weight 698251386 (114.69/col)
  152. Sat Dec 4 00:31:15 2021 sparse part has weight 573596622 (94.22/col)
  153. Sat Dec 4 00:31:15 2021 saving the first 368 matrix rows for later
  154. Sat Dec 4 00:31:16 2021 matrix includes 384 packed rows
  155. Sat Dec 4 00:31:18 2021 matrix is 6087382 x 6087902 (2285.4 MB) with weight 504307435 (82.84/col)
  156. Sat Dec 4 00:31:18 2021 sparse part has weight 477339941 (78.41/col)
  157. Sat Dec 4 00:31:19 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  158. Sat Dec 4 00:31:19 2021 selected card has CUDA arch 7.0
  159. Sat Dec 4 00:31:36 2021 commencing Lanczos iteration
  160. Sat Dec 4 00:31:37 2021 memory use: 5917.7 MB
  161. Sat Dec 4 00:31:39 2021 linear algebra at 0.0%, ETA 1h28m
  162. Sat Dec 4 00:31:40 2021 checkpointing every 5070000 dimensions
  163. Sat Dec 4 01:46:37 2021 lanczos halted after 15886 iterations (dim = 6087381)
  164. Sat Dec 4 01:47:03 2021 recovered 38 nontrivial dependencies
  165. Sat Dec 4 01:47:03 2021 BLanczosTime: 4863
  166. Sat Dec 4 01:47:03 2021
  167. Sat Dec 4 01:47:03 2021 commencing square root phase
  168. Sat Dec 4 01:47:03 2021 handling dependencies 1 to 64
  169. Sat Dec 4 01:47:03 2021 reading relations for dependency 1
  170. Sat Dec 4 01:47:04 2021 read 3043109 cycles
  171. Sat Dec 4 01:47:07 2021 cycles contain 9328140 unique relations
  172. Sat Dec 4 01:47:44 2021 read 9328140 relations
  173. Sat Dec 4 01:48:09 2021 multiplying 9328140 relations
  174. Sat Dec 4 01:51:47 2021 multiply complete, coefficients have about 228.66 million bits
  175. Sat Dec 4 01:51:48 2021 initial square root is modulo 160647779
  176. Sat Dec 4 01:55:53 2021 sqrtTime: 530
  177. Sat Dec 4 01:55:53 2021 p66 factor: 827841390819408503531926270000264654638194518755926669103799740569
  178. Sat Dec 4 01:55:53 2021 p151 factor: 5884423723257742983744889773691975740829318040303085837008959781743146298542675225203430761014470467671398540058781861905620972183379805998266411881069
  179. Sat Dec 4 01:55:53 2021 elapsed time 01:53:41
  180.  
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