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gchilders

C153_903872_1853

Dec 24th, 2021
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  1. Fri Dec 24 02:27:30 2021
  2. Fri Dec 24 02:27:30 2021
  3. Fri Dec 24 02:27:30 2021 Msieve v. 1.54 (SVN unknown)
  4. Fri Dec 24 02:27:30 2021 random seeds: 36f9094b b01ca269
  5. Fri Dec 24 02:27:30 2021 factoring 482060658670968956351411062327366017783314029955194719598649194248528435943658197559932330855835195513733581696549933735168043566120521182519601679202221 (153 digits)
  6. Fri Dec 24 02:27:30 2021 no P-1/P+1/ECM available, skipping
  7. Fri Dec 24 02:27:30 2021 commencing number field sieve (153-digit input)
  8. Fri Dec 24 02:27:30 2021 R0: -1027946580521740218119415761924
  9. Fri Dec 24 02:27:30 2021 R1: 7469389552462933
  10. Fri Dec 24 02:27:30 2021 A0: 15414944704109641068441710904713986944705
  11. Fri Dec 24 02:27:30 2021 A1: 4576448785148477572708453965928274
  12. Fri Dec 24 02:27:30 2021 A2: 207409600793325498426957030
  13. Fri Dec 24 02:27:30 2021 A3: -2251947742391987598
  14. Fri Dec 24 02:27:30 2021 A4: -44121065519
  15. Fri Dec 24 02:27:30 2021 A5: 420
  16. Fri Dec 24 02:27:30 2021 skew 54841575.62, size 8.463e-15, alpha -8.134, combined = 3.956e-12 rroots = 3
  17. Fri Dec 24 02:27:30 2021
  18. Fri Dec 24 02:27:30 2021 commencing relation filtering
  19. Fri Dec 24 02:27:30 2021 setting target matrix density to 115.0
  20. Fri Dec 24 02:27:30 2021 estimated available RAM is 515600.8 MB
  21. Fri Dec 24 02:27:30 2021 commencing duplicate removal, pass 1
  22. Fri Dec 24 02:28:40 2021 error -15 reading relation 14872911
  23. Fri Dec 24 02:28:42 2021 error -9 reading relation 15285906
  24. Fri Dec 24 02:29:07 2021 error -15 reading relation 20551963
  25. Fri Dec 24 02:30:57 2021 error -15 reading relation 44140169
  26. Fri Dec 24 02:30:58 2021 error -15 reading relation 44259349
  27. Fri Dec 24 02:31:17 2021 error -9 reading relation 48412712
  28. Fri Dec 24 02:31:39 2021 skipped 3 relations with composite factors
  29. Fri Dec 24 02:31:39 2021 found 2446084 hash collisions in 52963753 relations
  30. Fri Dec 24 02:31:56 2021 added 122140 free relations
  31. Fri Dec 24 02:31:56 2021 commencing duplicate removal, pass 2
  32. Fri Dec 24 02:32:04 2021 found 0 duplicates and 53085893 unique relations
  33. Fri Dec 24 02:32:04 2021 memory use: 130.6 MB
  34. Fri Dec 24 02:32:04 2021 reading ideals above 720000
  35. Fri Dec 24 02:32:04 2021 commencing singleton removal, initial pass
  36. Fri Dec 24 02:36:10 2021 memory use: 1378.0 MB
  37. Fri Dec 24 02:36:10 2021 reading all ideals from disk
  38. Fri Dec 24 02:36:11 2021 memory use: 1881.7 MB
  39. Fri Dec 24 02:36:12 2021 keeping 47205718 ideals with weight <= 200, target excess is 286707
  40. Fri Dec 24 02:36:14 2021 commencing in-memory singleton removal
  41. Fri Dec 24 02:36:15 2021 begin with 53085893 relations and 47205718 unique ideals
  42. Fri Dec 24 02:36:29 2021 reduce to 35720837 relations and 28188942 ideals in 12 passes
  43. Fri Dec 24 02:36:29 2021 max relations containing the same ideal: 160
  44. Fri Dec 24 02:36:37 2021 removing 4353085 relations and 3353085 ideals in 1000000 cliques
  45. Fri Dec 24 02:36:38 2021 commencing in-memory singleton removal
  46. Fri Dec 24 02:36:39 2021 begin with 31367752 relations and 28188942 unique ideals
  47. Fri Dec 24 02:36:46 2021 reduce to 30959524 relations and 24413759 ideals in 8 passes
  48. Fri Dec 24 02:36:46 2021 max relations containing the same ideal: 153
  49. Fri Dec 24 02:36:53 2021 removing 3431065 relations and 2431065 ideals in 1000000 cliques
  50. Fri Dec 24 02:36:54 2021 commencing in-memory singleton removal
  51. Fri Dec 24 02:36:55 2021 begin with 27528459 relations and 24413759 unique ideals
  52. Fri Dec 24 02:37:00 2021 reduce to 27239497 relations and 21684751 ideals in 6 passes
  53. Fri Dec 24 02:37:00 2021 max relations containing the same ideal: 137
  54. Fri Dec 24 02:37:06 2021 removing 3184073 relations and 2184073 ideals in 1000000 cliques
  55. Fri Dec 24 02:37:06 2021 commencing in-memory singleton removal
  56. Fri Dec 24 02:37:07 2021 begin with 24055424 relations and 21684751 unique ideals
  57. Fri Dec 24 02:37:12 2021 reduce to 23788942 relations and 19225214 ideals in 7 passes
  58. Fri Dec 24 02:37:12 2021 max relations containing the same ideal: 125
  59. Fri Dec 24 02:37:17 2021 removing 3063314 relations and 2063314 ideals in 1000000 cliques
  60. Fri Dec 24 02:37:18 2021 commencing in-memory singleton removal
  61. Fri Dec 24 02:37:19 2021 begin with 20725628 relations and 19225214 unique ideals
  62. Fri Dec 24 02:37:23 2021 reduce to 20460085 relations and 16886516 ideals in 7 passes
  63. Fri Dec 24 02:37:23 2021 max relations containing the same ideal: 114
  64. Fri Dec 24 02:37:27 2021 removing 2997046 relations and 1997046 ideals in 1000000 cliques
  65. Fri Dec 24 02:37:28 2021 commencing in-memory singleton removal
  66. Fri Dec 24 02:37:29 2021 begin with 17463039 relations and 16886516 unique ideals
  67. Fri Dec 24 02:37:32 2021 reduce to 17181956 relations and 14596597 ideals in 7 passes
  68. Fri Dec 24 02:37:32 2021 max relations containing the same ideal: 100
  69. Fri Dec 24 02:37:36 2021 removing 2955549 relations and 1955549 ideals in 1000000 cliques
  70. Fri Dec 24 02:37:37 2021 commencing in-memory singleton removal
  71. Fri Dec 24 02:37:37 2021 begin with 14226407 relations and 14596597 unique ideals
  72. Fri Dec 24 02:37:40 2021 reduce to 13913078 relations and 12312179 ideals in 7 passes
  73. Fri Dec 24 02:37:40 2021 max relations containing the same ideal: 88
  74. Fri Dec 24 02:37:43 2021 removing 2930211 relations and 1930211 ideals in 1000000 cliques
  75. Fri Dec 24 02:37:44 2021 commencing in-memory singleton removal
  76. Fri Dec 24 02:37:44 2021 begin with 10982867 relations and 12312179 unique ideals
  77. Fri Dec 24 02:37:46 2021 reduce to 10606873 relations and 9983124 ideals in 8 passes
  78. Fri Dec 24 02:37:46 2021 max relations containing the same ideal: 74
  79. Fri Dec 24 02:37:49 2021 removing 1085403 relations and 794235 ideals in 291168 cliques
  80. Fri Dec 24 02:37:49 2021 commencing in-memory singleton removal
  81. Fri Dec 24 02:37:49 2021 begin with 9521470 relations and 9983124 unique ideals
  82. Fri Dec 24 02:37:51 2021 reduce to 9445191 relations and 9110754 ideals in 7 passes
  83. Fri Dec 24 02:37:51 2021 max relations containing the same ideal: 70
  84. Fri Dec 24 02:37:54 2021 relations with 0 large ideals: 903
  85. Fri Dec 24 02:37:54 2021 relations with 1 large ideals: 4594
  86. Fri Dec 24 02:37:54 2021 relations with 2 large ideals: 64087
  87. Fri Dec 24 02:37:54 2021 relations with 3 large ideals: 391486
  88. Fri Dec 24 02:37:54 2021 relations with 4 large ideals: 1247259
  89. Fri Dec 24 02:37:54 2021 relations with 5 large ideals: 2300024
  90. Fri Dec 24 02:37:54 2021 relations with 6 large ideals: 2609691
  91. Fri Dec 24 02:37:54 2021 relations with 7+ large ideals: 2827147
  92. Fri Dec 24 02:37:54 2021 commencing 2-way merge
  93. Fri Dec 24 02:37:57 2021 reduce to 6256850 relation sets and 5922413 unique ideals
  94. Fri Dec 24 02:37:57 2021 commencing full merge
  95. Fri Dec 24 02:39:14 2021 memory use: 764.5 MB
  96. Fri Dec 24 02:39:14 2021 found 2869851 cycles, need 2834613
  97. Fri Dec 24 02:39:15 2021 weight of 2834613 cycles is about 326216073 (115.08/cycle)
  98. Fri Dec 24 02:39:15 2021 distribution of cycle lengths:
  99. Fri Dec 24 02:39:15 2021 1 relations: 80134
  100. Fri Dec 24 02:39:15 2021 2 relations: 157648
  101. Fri Dec 24 02:39:15 2021 3 relations: 200419
  102. Fri Dec 24 02:39:15 2021 4 relations: 216191
  103. Fri Dec 24 02:39:15 2021 5 relations: 228913
  104. Fri Dec 24 02:39:15 2021 6 relations: 230540
  105. Fri Dec 24 02:39:15 2021 7 relations: 227765
  106. Fri Dec 24 02:39:15 2021 8 relations: 217352
  107. Fri Dec 24 02:39:15 2021 9 relations: 202666
  108. Fri Dec 24 02:39:15 2021 10+ relations: 1072985
  109. Fri Dec 24 02:39:15 2021 heaviest cycle: 26 relations
  110. Fri Dec 24 02:39:15 2021 commencing cycle optimization
  111. Fri Dec 24 02:39:18 2021 start with 24244822 relations
  112. Fri Dec 24 02:39:49 2021 pruned 1183097 relations
  113. Fri Dec 24 02:39:50 2021 memory use: 641.5 MB
  114. Fri Dec 24 02:39:50 2021 distribution of cycle lengths:
  115. Fri Dec 24 02:39:50 2021 1 relations: 80134
  116. Fri Dec 24 02:39:50 2021 2 relations: 162391
  117. Fri Dec 24 02:39:50 2021 3 relations: 210444
  118. Fri Dec 24 02:39:50 2021 4 relations: 226766
  119. Fri Dec 24 02:39:50 2021 5 relations: 242290
  120. Fri Dec 24 02:39:50 2021 6 relations: 243991
  121. Fri Dec 24 02:39:50 2021 7 relations: 241444
  122. Fri Dec 24 02:39:50 2021 8 relations: 229376
  123. Fri Dec 24 02:39:50 2021 9 relations: 212885
  124. Fri Dec 24 02:39:50 2021 10+ relations: 984892
  125. Fri Dec 24 02:39:50 2021 heaviest cycle: 26 relations
  126. Fri Dec 24 02:39:52 2021 RelProcTime: 742
  127. Fri Dec 24 02:39:52 2021
  128. Fri Dec 24 02:39:52 2021 commencing linear algebra
  129. Fri Dec 24 02:39:52 2021 using VBITS=384
  130. Fri Dec 24 02:39:52 2021 read 2834613 cycles
  131. Fri Dec 24 02:39:55 2021 cycles contain 9272495 unique relations
  132. Fri Dec 24 02:40:27 2021 read 9272495 relations
  133. Fri Dec 24 02:40:36 2021 using 20 quadratic characters above 4294917295
  134. Fri Dec 24 02:41:02 2021 building initial matrix
  135. Fri Dec 24 02:42:11 2021 memory use: 1301.0 MB
  136. Fri Dec 24 02:42:12 2021 read 2834613 cycles
  137. Fri Dec 24 02:42:12 2021 matrix is 2834435 x 2834613 (1281.6 MB) with weight 399039161 (140.77/col)
  138. Fri Dec 24 02:42:12 2021 sparse part has weight 301960719 (106.53/col)
  139. Fri Dec 24 02:42:27 2021 filtering completed in 2 passes
  140. Fri Dec 24 02:42:27 2021 matrix is 2834346 x 2834523 (1281.6 MB) with weight 399033918 (140.78/col)
  141. Fri Dec 24 02:42:27 2021 sparse part has weight 301958666 (106.53/col)
  142. Fri Dec 24 02:42:31 2021 matrix starts at (0, 0)
  143. Fri Dec 24 02:42:32 2021 matrix is 2834346 x 2834523 (1281.6 MB) with weight 399033918 (140.78/col)
  144. Fri Dec 24 02:42:32 2021 sparse part has weight 301958666 (106.53/col)
  145. Fri Dec 24 02:42:32 2021 saving the first 368 matrix rows for later
  146. Fri Dec 24 02:42:32 2021 matrix includes 384 packed rows
  147. Fri Dec 24 02:42:33 2021 matrix is 2833978 x 2834523 (1150.4 MB) with weight 262578849 (92.64/col)
  148. Fri Dec 24 02:42:33 2021 sparse part has weight 244883197 (86.39/col)
  149. Fri Dec 24 02:42:33 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  150. Fri Dec 24 02:42:33 2021 selected card has CUDA arch 7.0
  151. Fri Dec 24 02:42:42 2021 commencing Lanczos iteration
  152. Fri Dec 24 02:42:42 2021 memory use: 2928.0 MB
  153. Fri Dec 24 02:42:43 2021 linear algebra at 0.1%, ETA 0h20m
  154. Fri Dec 24 02:42:43 2021 checkpointing every 15180000 dimensions
  155. Fri Dec 24 02:58:43 2021 lanczos halted after 7396 iterations (dim = 2833978)
  156. Fri Dec 24 02:58:54 2021 recovered 31 nontrivial dependencies
  157. Fri Dec 24 02:58:54 2021 BLanczosTime: 1142
  158. Fri Dec 24 02:58:54 2021
  159. Fri Dec 24 02:58:54 2021 commencing square root phase
  160. Fri Dec 24 02:58:54 2021 handling dependencies 1 to 64
  161. Fri Dec 24 02:58:54 2021 reading relations for dependency 1
  162. Fri Dec 24 02:58:55 2021 read 1416171 cycles
  163. Fri Dec 24 02:58:56 2021 cycles contain 4636632 unique relations
  164. Fri Dec 24 02:59:13 2021 read 4636632 relations
  165. Fri Dec 24 02:59:23 2021 multiplying 4636632 relations
  166. Fri Dec 24 03:01:45 2021 multiply complete, coefficients have about 212.42 million bits
  167. Fri Dec 24 03:01:46 2021 initial square root is modulo 42007807
  168. Fri Dec 24 03:04:36 2021 sqrtTime: 342
  169. Fri Dec 24 03:04:36 2021 p57 factor: 464927847401022149522000169425882820367158866514966935737
  170. Fri Dec 24 03:04:36 2021 p97 factor: 1036850473392205631379970486907466893022462150175514031765498061353067904074456681836090140611733
  171. Fri Dec 24 03:04:36 2021 elapsed time 00:37:06
  172.  
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