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Serge_Batalov

C164_966_1051

Serge_Batalov
Jun 13th, 2024 (edited)
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  1. Wed Jun 12 17:38:04 2024
  2. Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda12.4)
  3. random seeds: 31ad9444 1dae0b33
  4. Using 32 OpenMP threads
  5. factoring 12971152956020347960588616714918196161982660682707108078864579822939864942137449086359031086969024597338421220856515438723330308659905824762747560075459059009152137 (164 digits)
  6. no P-1/P+1/ECM available, skipping
  7. commencing number field sieve (164-digit input)
  8. R0: -35218502328984843166190580074162
  9. R1: 20644727602214221
  10. A0: -114174024336666365746805347074677456337
  11. A1: 258100287893439116914711086795489
  12. A2: -290834109199285927351725513
  13. A3: 62137355900387808871
  14. A4: 15519406824650
  15. A5: 239400
  16. skew 4985510.92, size 7.579e-16, alpha -7.314, combined = 9.586e-13 rroots = 3
  17.  
  18. commencing relation filtering
  19. setting target matrix density to 120.0
  20. estimated available RAM is 1031034.2 MB
  21. commencing duplicate removal, pass 1
  22. found 11631385 hash collisions in 231499159 relations
  23. commencing duplicate removal, pass 2
  24. found 0 duplicates and 231499159 unique relations
  25. memory use: 788.8 MB
  26. reading ideals above 720000
  27. commencing singleton removal, initial pass
  28. memory use: 6024.0 MB
  29. reading all ideals from disk
  30. memory use: 10503.9 MB
  31. keeping 222162277 ideals with weight <= 200, target excess is 1151456
  32. commencing in-memory singleton removal
  33. begin with 231499159 relations and 222162277 unique ideals
  34. reduce to 123524781 relations and 100296683 ideals in 15 passes
  35. max relations containing the same ideal: 139
  36. removing 11805039 relations and 9805039 ideals in 2000000 cliques
  37. Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  38. Wed Jun 12 17:38:04 2024
  39. checking relations array at location 1
  40. begin with 111719742 relations and 100296683 unique ideals
  41. reduce to 110868672 relations and 89622918 ideals in 10 passes
  42. max relations containing the same ideal: 128
  43. removing 8956520 relations and 6956520 ideals in 2000000 cliques
  44. begin with 101912152 relations and 89622918 unique ideals
  45. reduce to 101337505 relations and 82080985 ideals in 10 passes
  46. max relations containing the same ideal: 122
  47. removing 8113081 relations and 6113081 ideals in 2000000 cliques
  48. begin with 93224424 relations and 82080985 unique ideals
  49. reduce to 92706034 relations and 75439745 ideals in 7 passes
  50. max relations containing the same ideal: 115
  51. removing 7682807 relations and 5682807 ideals in 2000000 cliques
  52. begin with 85023227 relations and 75439745 unique ideals
  53. reduce to 84520136 relations and 69243935 ideals in 7 passes
  54. max relations containing the same ideal: 108
  55. removing 7430300 relations and 5430300 ideals in 2000000 cliques
  56. begin with 77089836 relations and 69243935 unique ideals
  57. reduce to 76580611 relations and 63293397 ideals in 8 passes
  58. max relations containing the same ideal: 102
  59. removing 7269130 relations and 5269130 ideals in 2000000 cliques
  60. begin with 69311481 relations and 63293397 unique ideals
  61. reduce to 68780931 relations and 57481288 ideals in 8 passes
  62. max relations containing the same ideal: 95
  63. removing 7177237 relations and 5177237 ideals in 2000000 cliques
  64. begin with 61603694 relations and 57481288 unique ideals
  65. reduce to 61029832 relations and 51715529 ideals in 9 passes
  66. max relations containing the same ideal: 89
  67. removing 7136556 relations and 5136556 ideals in 2000000 cliques
  68. begin with 53893276 relations and 51715529 unique ideals
  69. reduce to 53255848 relations and 45923352 ideals in 8 passes
  70. max relations containing the same ideal: 80
  71. removing 7150629 relations and 5150629 ideals in 2000000 cliques
  72. begin with 46105219 relations and 45923352 unique ideals
  73. reduce to 45366584 relations and 40010112 ideals in 9 passes
  74. max relations containing the same ideal: 74
  75. removing 7215948 relations and 5215948 ideals in 2000000 cliques
  76. begin with 38150636 relations and 40010112 unique ideals
  77. reduce to 37249952 relations and 33858760 ideals in 10 passes
  78. max relations containing the same ideal: 63
  79. removing 7344682 relations and 5344682 ideals in 2000000 cliques
  80. begin with 29905270 relations and 33858760 unique ideals
  81. reduce to 28719705 relations and 27272406 ideals in 11 passes
  82. max relations containing the same ideal: 52
  83. removing 802973 relations and 691363 ideals in 111610 cliques
  84. begin with 27916732 relations and 27272406 unique ideals
  85. reduce to 27901702 relations and 26565938 ideals in 7 passes
  86. relations with 0 large ideals: 4377
  87. relations with 1 large ideals: 54390
  88. relations with 2 large ideals: 586502
  89. relations with 3 large ideals: 2620404
  90. relations with 4 large ideals: 6112388
  91. relations with 5 large ideals: 8143479
  92. relations with 6 large ideals: 6448077
  93. relations with 7+ large ideals: 3932085
  94. commencing 2-way merge
  95. reduce to 16440975 relation sets and 15105211 unique ideals
  96. commencing full merge
  97. memory use: 1780.1 MB
  98. found 7186740 cycles, need 7089411
  99. weight of 7089411 cycles is about 850832180 (120.01/cycle)
  100. distribution of cycle lengths:
  101. 1 relations: 492138
  102. 2 relations: 472121
  103. 3 relations: 480676
  104. 4 relations: 475358
  105. 5 relations: 479248
  106. 6 relations: 471474
  107. 7 relations: 468498
  108. 8 relations: 446092
  109. 9 relations: 425398
  110. 10+ relations: 2878408
  111. heaviest cycle: 28 relations
  112. commencing cycle optimization
  113. start with 62712141 relations
  114. pruned 2485854 relations
  115. memory use: 1759.5 MB
  116. 2 relations: 483624
  117. 3 relations: 499353
  118. 4 relations: 492487
  119. 5 relations: 499968
  120. 6 relations: 491893
  121. 7 relations: 489775
  122. 8 relations: 465423
  123. 9 relations: 442472
  124. 10+ relations: 2732278
  125. RelProcTime: 1742
  126. Wed Jun 12 18:07:06 2024
  127. commencing linear algebra
  128. using VBITS=256
  129. read 7089411 cycles
  130. cycles contain 26990767 unique relations
  131. read 26990767 relations
  132. using 20 quadratic characters above 4294917295
  133. building initial matrix
  134. memory use: 3629.2 MB
  135. matrix is 7089232 x 7089411 (3346.5 MB) with weight 1020496147 (143.95/col)
  136. sparse part has weight 792181900 (111.74/col)
  137. filtering completed in 2 passes
  138. matrix is 7087931 x 7088108 (3346.3 MB) with weight 1020421748 (143.96/col)
  139. sparse part has weight 792152322 (111.76/col)
  140. matrix starts at (0, 0)
  141. saving the first 240 matrix rows for later
  142. matrix includes 256 packed rows
  143. matrix is 7087691 x 7088108 (3011.8 MB) with weight 723277050 (102.04/col)
  144. sparse part has weight 676105305 (95.39/col)
  145. using GPU 1 (NVIDIA L40S)
  146. selected card has CUDA arch 8.9
  147.  
  148. Wed Jun 12 18:18:58 2024
  149. Wed Jun 12 18:18:58 2024
  150. Wed Jun 12 18:18:58 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  151. Wed Jun 12 18:18:58 2024 random seeds: df93938e de849aed
  152. Wed Jun 12 18:18:58 2024 Using 32 OpenMP threads
  153. Wed Jun 12 18:18:58 2024 factoring 12971152956020347960588616714918196161982660682707108078864579822939864942137449086359031086969024597338421220856515438723330308659905824762747560075459059009152137 (164 digits)
  154. Wed Jun 12 18:18:58 2024 no P-1/P+1/ECM available, skipping
  155. Wed Jun 12 18:18:58 2024 commencing number field sieve (164-digit input)
  156. Wed Jun 12 18:18:58 2024 R0: -35218502328984843166190580074162
  157. Wed Jun 12 18:18:58 2024 R1: 20644727602214221
  158. Wed Jun 12 18:18:58 2024 A0: -114174024336666365746805347074677456337
  159. Wed Jun 12 18:18:58 2024 A1: 258100287893439116914711086795489
  160. Wed Jun 12 18:18:58 2024 A2: -290834109199285927351725513
  161. Wed Jun 12 18:18:58 2024 A3: 62137355900387808871
  162. Wed Jun 12 18:18:58 2024 A4: 15519406824650
  163. Wed Jun 12 18:18:58 2024 A5: 239400
  164. Wed Jun 12 18:18:58 2024 skew 4985510.92, size 7.579e-16, alpha -7.314, combined = 9.586e-13 rroots = 3
  165. Wed Jun 12 18:18:58 2024
  166. Wed Jun 12 18:18:58 2024 commencing linear algebra
  167. Wed Jun 12 18:18:58 2024 using VBITS=256
  168. Wed Jun 12 18:18:58 2024 skipping matrix build
  169. Wed Jun 12 18:19:13 2024 matrix starts at (0, 0)
  170. Wed Jun 12 18:19:14 2024 matrix is 7087931 x 7088108 (3346.3 MB) with weight 1020421748 (143.96/col)
  171. Wed Jun 12 18:19:14 2024 sparse part has weight 792152322 (111.76/col)
  172. Wed Jun 12 18:19:14 2024 saving the first 240 matrix rows for later
  173. Wed Jun 12 18:19:15 2024 matrix includes 256 packed rows
  174. Wed Jun 12 18:19:17 2024 matrix is 7087691 x 7088108 (3011.8 MB) with weight 723277050 (102.04/col)
  175. Wed Jun 12 18:19:17 2024 sparse part has weight 676105305 (95.39/col)
  176. Wed Jun 12 18:19:19 2024 using GPU 1 (NVIDIA L40S)
  177. Wed Jun 12 18:19:19 2024 selected card has CUDA arch 8.9
  178. Wed Jun 12 18:20:00 2024 commencing Lanczos iteration
  179. Wed Jun 12 18:20:00 2024 memory use: 6942.9 MB
  180. Wed Jun 12 18:20:17 2024 linear algebra at 0.4%, ETA 1h 1m
  181. Wed Jun 12 18:20:42 2024 checking every 50000 dimensions, checkpointing every 3400000 dimensions
  182. Wed Jun 12 19:23:53 2024 lanczos halted after 27772 iterations (dim = 7087691)
  183. Wed Jun 12 19:24:10 2024 recovered 30 nontrivial dependencies
  184. Wed Jun 12 19:24:10 2024 BLanczosTime: 3912
  185. Wed Jun 12 19:24:10 2024
  186. Wed Jun 12 19:24:10 2024 commencing square root phase
  187. Wed Jun 12 19:24:10 2024 handling dependencies 1 to 64
  188. Wed Jun 12 19:24:10 2024 reading relations for dependency 1
  189. Wed Jun 12 19:24:12 2024 read 3545703 cycles
  190. Wed Jun 12 19:24:16 2024 cycles contain 13500708 unique relations
  191. Wed Jun 12 19:26:37 2024 read 13500708 relations
  192. Wed Jun 12 19:27:08 2024 multiplying 13500708 relations
  193. Wed Jun 12 19:31:20 2024 multiply complete, coefficients have about 754.41 million bits
  194. Wed Jun 12 19:31:21 2024 initial square root is modulo 5863679
  195. Wed Jun 12 19:33:52 2024 sqrtTime: 582
  196. Wed Jun 12 19:33:52 2024 p66 factor: 151978684122059247759325917055447456970313692136943128483908733191
  197. Wed Jun 12 19:33:52 2024 p98 factor: 85348501541194909051092306035708861659389419566883099382106238668043058850663587099639143127437807
  198. Wed Jun 12 19:33:52 2024 elapsed time 01:14:54
  199.  
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