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gchilders

3m2_547

gchilders
Mar 5th, 2022
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  1. Fri Mar 4 19:49:35 2022
  2. Fri Mar 4 19:49:35 2022
  3. Fri Mar 4 19:49:35 2022 Msieve v. 1.54 (SVN unknown)
  4. Fri Mar 4 19:49:35 2022 random seeds: b9e88409 ff9d4973
  5. Fri Mar 4 19:49:35 2022 factoring 770177376353697466791505430075493877505152820529371332466545483887306496397260799920627466007234568306634643761141159015186228570861062445777630998022787861665754250857019039412378605046595881475542154798190667550481798099808603119690022470439658940397 (252 digits)
  6. Fri Mar 4 19:49:36 2022 no P-1/P+1/ECM available, skipping
  7. Fri Mar 4 19:49:36 2022 commencing number field sieve (252-digit input)
  8. Fri Mar 4 19:49:36 2022 R0: 26183890704263137277674192438430182020124347
  9. Fri Mar 4 19:49:36 2022 R1: -2475880078570760549798248448
  10. Fri Mar 4 19:49:36 2022 A0: -2
  11. Fri Mar 4 19:49:36 2022 A1: 0
  12. Fri Mar 4 19:49:36 2022 A2: 0
  13. Fri Mar 4 19:49:36 2022 A3: 0
  14. Fri Mar 4 19:49:36 2022 A4: 0
  15. Fri Mar 4 19:49:36 2022 A5: 0
  16. Fri Mar 4 19:49:36 2022 A6: 3
  17. Fri Mar 4 19:49:36 2022 skew 0.93, size 9.100e-13, alpha 1.316, combined = 1.060e-13 rroots = 2
  18. Fri Mar 4 19:49:36 2022
  19. Fri Mar 4 19:49:36 2022 commencing relation filtering
  20. Fri Mar 4 19:49:36 2022 setting target matrix density to 110.0
  21. Fri Mar 4 19:49:36 2022 estimated available RAM is 515600.8 MB
  22. Fri Mar 4 19:49:36 2022 commencing duplicate removal, pass 1
  23. Fri Mar 4 20:05:21 2022 skipped 781 relations with b > 2^32
  24. Fri Mar 4 20:05:21 2022 skipped 74 relations with composite factors
  25. Fri Mar 4 20:05:21 2022 found 8437569 hash collisions in 196134948 relations
  26. Fri Mar 4 20:05:30 2022 added 1219244 free relations
  27. Fri Mar 4 20:05:30 2022 commencing duplicate removal, pass 2
  28. Fri Mar 4 20:06:10 2022 found 0 duplicates and 197354192 unique relations
  29. Fri Mar 4 20:06:10 2022 memory use: 522.4 MB
  30. Fri Mar 4 20:06:10 2022 reading ideals above 720000
  31. Fri Mar 4 20:06:10 2022 commencing singleton removal, initial pass
  32. Fri Mar 4 20:22:43 2022 memory use: 5512.0 MB
  33. Fri Mar 4 20:22:43 2022 reading all ideals from disk
  34. Fri Mar 4 20:22:44 2022 memory use: 8158.7 MB
  35. Fri Mar 4 20:22:51 2022 keeping 180000571 ideals with weight <= 200, target excess is 1040863
  36. Fri Mar 4 20:23:02 2022 commencing in-memory singleton removal
  37. Fri Mar 4 20:23:08 2022 begin with 197354192 relations and 180000571 unique ideals
  38. Fri Mar 4 20:24:21 2022 reduce to 134327270 relations and 111119945 ideals in 15 passes
  39. Fri Mar 4 20:24:21 2022 max relations containing the same ideal: 163
  40. Fri Mar 4 20:24:51 2022 removing 10955835 relations and 8955835 ideals in 2000000 cliques
  41. Fri Mar 4 20:24:54 2022 commencing in-memory singleton removal
  42. Fri Mar 4 20:24:58 2022 begin with 123371435 relations and 111119945 unique ideals
  43. Fri Mar 4 20:25:36 2022 reduce to 122652518 relations and 101431428 ideals in 9 passes
  44. Fri Mar 4 20:25:36 2022 max relations containing the same ideal: 155
  45. Fri Mar 4 20:26:04 2022 removing 8431323 relations and 6431323 ideals in 2000000 cliques
  46. Fri Mar 4 20:26:07 2022 commencing in-memory singleton removal
  47. Fri Mar 4 20:26:10 2022 begin with 114221195 relations and 101431428 unique ideals
  48. Fri Mar 4 20:26:45 2022 reduce to 113738266 relations and 94508991 ideals in 9 passes
  49. Fri Mar 4 20:26:45 2022 max relations containing the same ideal: 149
  50. Fri Mar 4 20:27:11 2022 removing 7677800 relations and 5677800 ideals in 2000000 cliques
  51. Fri Mar 4 20:27:14 2022 commencing in-memory singleton removal
  52. Fri Mar 4 20:27:17 2022 begin with 106060466 relations and 94508991 unique ideals
  53. Fri Mar 4 20:27:42 2022 reduce to 105628965 relations and 88392422 ideals in 7 passes
  54. Fri Mar 4 20:27:42 2022 max relations containing the same ideal: 143
  55. Fri Mar 4 20:28:07 2022 removing 7308367 relations and 5308367 ideals in 2000000 cliques
  56. Fri Mar 4 20:28:09 2022 commencing in-memory singleton removal
  57. Fri Mar 4 20:28:12 2022 begin with 98320598 relations and 88392422 unique ideals
  58. Fri Mar 4 20:28:35 2022 reduce to 97907686 relations and 82663880 ideals in 7 passes
  59. Fri Mar 4 20:28:35 2022 max relations containing the same ideal: 135
  60. Fri Mar 4 20:28:58 2022 removing 7093837 relations and 5093837 ideals in 2000000 cliques
  61. Fri Mar 4 20:29:00 2022 commencing in-memory singleton removal
  62. Fri Mar 4 20:29:03 2022 begin with 90813849 relations and 82663880 unique ideals
  63. Fri Mar 4 20:29:24 2022 reduce to 90403830 relations and 77152578 ideals in 7 passes
  64. Fri Mar 4 20:29:24 2022 max relations containing the same ideal: 127
  65. Fri Mar 4 20:29:46 2022 removing 6959692 relations and 4959692 ideals in 2000000 cliques
  66. Fri Mar 4 20:29:48 2022 commencing in-memory singleton removal
  67. Fri Mar 4 20:29:50 2022 begin with 83444138 relations and 77152578 unique ideals
  68. Fri Mar 4 20:30:10 2022 reduce to 83025225 relations and 71765831 ideals in 7 passes
  69. Fri Mar 4 20:30:10 2022 max relations containing the same ideal: 121
  70. Fri Mar 4 20:30:30 2022 removing 6879544 relations and 4879544 ideals in 2000000 cliques
  71. Fri Mar 4 20:30:32 2022 commencing in-memory singleton removal
  72. Fri Mar 4 20:30:34 2022 begin with 76145681 relations and 71765831 unique ideals
  73. Fri Mar 4 20:30:52 2022 reduce to 75708710 relations and 66440098 ideals in 7 passes
  74. Fri Mar 4 20:30:52 2022 max relations containing the same ideal: 115
  75. Fri Mar 4 20:31:10 2022 removing 6841856 relations and 4841856 ideals in 2000000 cliques
  76. Fri Mar 4 20:31:12 2022 commencing in-memory singleton removal
  77. Fri Mar 4 20:31:14 2022 begin with 68866854 relations and 66440098 unique ideals
  78. Fri Mar 4 20:31:30 2022 reduce to 68399173 relations and 61119877 ideals in 7 passes
  79. Fri Mar 4 20:31:30 2022 max relations containing the same ideal: 109
  80. Fri Mar 4 20:31:47 2022 removing 6830993 relations and 4830993 ideals in 2000000 cliques
  81. Fri Mar 4 20:31:49 2022 commencing in-memory singleton removal
  82. Fri Mar 4 20:31:51 2022 begin with 61568180 relations and 61119877 unique ideals
  83. Fri Mar 4 20:32:07 2022 reduce to 61059086 relations and 55767295 ideals in 8 passes
  84. Fri Mar 4 20:32:07 2022 max relations containing the same ideal: 99
  85. Fri Mar 4 20:32:22 2022 removing 6845885 relations and 4845885 ideals in 2000000 cliques
  86. Fri Mar 4 20:32:24 2022 commencing in-memory singleton removal
  87. Fri Mar 4 20:32:26 2022 begin with 54213201 relations and 55767295 unique ideals
  88. Fri Mar 4 20:32:40 2022 reduce to 53646084 relations and 50338725 ideals in 8 passes
  89. Fri Mar 4 20:32:40 2022 max relations containing the same ideal: 95
  90. Fri Mar 4 20:32:53 2022 removing 6883689 relations and 4883689 ideals in 2000000 cliques
  91. Fri Mar 4 20:32:55 2022 commencing in-memory singleton removal
  92. Fri Mar 4 20:32:56 2022 begin with 46762395 relations and 50338725 unique ideals
  93. Fri Mar 4 20:33:09 2022 reduce to 46109420 relations and 44781284 ideals in 8 passes
  94. Fri Mar 4 20:33:09 2022 max relations containing the same ideal: 80
  95. Fri Mar 4 20:33:21 2022 removing 696044 relations and 575310 ideals in 120734 cliques
  96. Fri Mar 4 20:33:22 2022 commencing in-memory singleton removal
  97. Fri Mar 4 20:33:23 2022 begin with 45413376 relations and 44781284 unique ideals
  98. Fri Mar 4 20:33:32 2022 reduce to 45406599 relations and 44199176 ideals in 6 passes
  99. Fri Mar 4 20:33:32 2022 max relations containing the same ideal: 80
  100. Fri Mar 4 20:33:38 2022 relations with 0 large ideals: 39103
  101. Fri Mar 4 20:33:38 2022 relations with 1 large ideals: 15308
  102. Fri Mar 4 20:33:38 2022 relations with 2 large ideals: 181657
  103. Fri Mar 4 20:33:38 2022 relations with 3 large ideals: 1184699
  104. Fri Mar 4 20:33:38 2022 relations with 4 large ideals: 4197090
  105. Fri Mar 4 20:33:38 2022 relations with 5 large ideals: 8939843
  106. Fri Mar 4 20:33:38 2022 relations with 6 large ideals: 11979297
  107. Fri Mar 4 20:33:38 2022 relations with 7+ large ideals: 18869602
  108. Fri Mar 4 20:33:38 2022 commencing 2-way merge
  109. Fri Mar 4 20:33:54 2022 reduce to 30054561 relation sets and 28847138 unique ideals
  110. Fri Mar 4 20:33:54 2022 commencing full merge
  111. Fri Mar 4 20:41:19 2022 memory use: 3901.8 MB
  112. Fri Mar 4 20:41:21 2022 found 14095979 cycles, need 13973338
  113. Fri Mar 4 20:41:24 2022 weight of 13973338 cycles is about 1537550640 (110.03/cycle)
  114. Fri Mar 4 20:41:24 2022 distribution of cycle lengths:
  115. Fri Mar 4 20:41:24 2022 1 relations: 763830
  116. Fri Mar 4 20:41:24 2022 2 relations: 1012756
  117. Fri Mar 4 20:41:24 2022 3 relations: 1135532
  118. Fri Mar 4 20:41:24 2022 4 relations: 1141083
  119. Fri Mar 4 20:41:24 2022 5 relations: 1137669
  120. Fri Mar 4 20:41:24 2022 6 relations: 1104786
  121. Fri Mar 4 20:41:24 2022 7 relations: 1055163
  122. Fri Mar 4 20:41:24 2022 8 relations: 986140
  123. Fri Mar 4 20:41:24 2022 9 relations: 905188
  124. Fri Mar 4 20:41:24 2022 10+ relations: 4731191
  125. Fri Mar 4 20:41:24 2022 heaviest cycle: 28 relations
  126. Fri Mar 4 20:41:27 2022 commencing cycle optimization
  127. Fri Mar 4 20:41:45 2022 start with 111495800 relations
  128. Fri Mar 4 20:44:15 2022 pruned 4861274 relations
  129. Fri Mar 4 20:44:15 2022 memory use: 3032.4 MB
  130. Fri Mar 4 20:44:15 2022 distribution of cycle lengths:
  131. Fri Mar 4 20:44:15 2022 1 relations: 763830
  132. Fri Mar 4 20:44:15 2022 2 relations: 1037852
  133. Fri Mar 4 20:44:15 2022 3 relations: 1185589
  134. Fri Mar 4 20:44:15 2022 4 relations: 1188326
  135. Fri Mar 4 20:44:15 2022 5 relations: 1193675
  136. Fri Mar 4 20:44:15 2022 6 relations: 1155395
  137. Fri Mar 4 20:44:15 2022 7 relations: 1107277
  138. Fri Mar 4 20:44:15 2022 8 relations: 1027159
  139. Fri Mar 4 20:44:15 2022 9 relations: 939670
  140. Fri Mar 4 20:44:15 2022 10+ relations: 4374565
  141. Fri Mar 4 20:44:15 2022 heaviest cycle: 28 relations
  142. Fri Mar 4 20:44:29 2022 RelProcTime: 3293
  143. Fri Mar 4 20:44:29 2022
  144. Fri Mar 4 20:44:29 2022 commencing linear algebra
  145. Fri Mar 4 20:44:29 2022 using VBITS=384
  146. Fri Mar 4 20:44:29 2022 read 13973338 cycles
  147. Fri Mar 4 20:44:47 2022 cycles contain 44793465 unique relations
  148. Fri Mar 4 20:47:18 2022 read 44793465 relations
  149. Fri Mar 4 20:48:14 2022 using 20 quadratic characters above 4294917295
  150. Fri Mar 4 20:50:19 2022 building initial matrix
  151. Fri Mar 4 20:56:25 2022 memory use: 5822.6 MB
  152. Fri Mar 4 20:56:30 2022 read 13973338 cycles
  153. Fri Mar 4 20:56:32 2022 matrix is 13973161 x 13973338 (6129.5 MB) with weight 1763817355 (126.23/col)
  154. Fri Mar 4 20:56:32 2022 sparse part has weight 1453100060 (103.99/col)
  155. Fri Mar 4 20:58:00 2022 filtering completed in 2 passes
  156. Fri Mar 4 20:58:02 2022 matrix is 13972472 x 13972640 (6129.4 MB) with weight 1763791270 (126.23/col)
  157. Fri Mar 4 20:58:02 2022 sparse part has weight 1453089870 (104.00/col)
  158. Fri Mar 4 20:58:23 2022 matrix starts at (0, 0)
  159. Fri Mar 4 20:58:25 2022 matrix is 13972472 x 13972640 (6129.4 MB) with weight 1763791270 (126.23/col)
  160. Fri Mar 4 20:58:25 2022 sparse part has weight 1453089870 (104.00/col)
  161. Fri Mar 4 20:58:25 2022 saving the first 368 matrix rows for later
  162. Fri Mar 4 20:58:27 2022 matrix includes 384 packed rows
  163. Fri Mar 4 20:58:32 2022 matrix is 13972104 x 13972640 (5741.7 MB) with weight 1287956676 (92.18/col)
  164. Fri Mar 4 20:58:32 2022 sparse part has weight 1225700657 (87.72/col)
  165. Fri Mar 4 20:58:32 2022 using GPU 1 (Tesla V100-PCIE-32GB)
  166. Fri Mar 4 20:58:32 2022 selected card has CUDA arch 7.0
  167. Fri Mar 4 20:59:22 2022 commencing Lanczos iteration
  168. Fri Mar 4 20:59:23 2022 memory use: 14574.9 MB
  169. Fri Mar 4 20:59:28 2022 linear algebra at 0.0%, ETA 8h26m
  170. Fri Mar 4 20:59:32 2022 checkpointing every 1690000 dimensions
  171. Sat Mar 5 04:18:32 2022 lanczos halted after 36460 iterations (dim = 13972104)
  172. Sat Mar 5 04:19:31 2022 recovered 36 nontrivial dependencies
  173. Sat Mar 5 04:19:31 2022 BLanczosTime: 27302
  174. Sat Mar 5 04:19:31 2022
  175. Sat Mar 5 04:19:31 2022 commencing square root phase
  176. Sat Mar 5 04:19:31 2022 handling dependencies 1 to 64
  177. Sat Mar 5 04:19:31 2022 reading relations for dependency 1
  178. Sat Mar 5 04:19:33 2022 read 6986215 cycles
  179. Sat Mar 5 04:19:42 2022 cycles contain 22395462 unique relations
  180. Sat Mar 5 04:21:04 2022 read 22395462 relations
  181. Sat Mar 5 04:22:16 2022 multiplying 22395462 relations
  182. Sat Mar 5 04:33:53 2022 multiply complete, coefficients have about 617.74 million bits
  183. Sat Mar 5 04:33:55 2022 initial square root is modulo 348421
  184. Sat Mar 5 04:46:14 2022 GCD is 1, no factor found
  185. Sat Mar 5 04:46:14 2022 reading relations for dependency 2
  186. Sat Mar 5 04:46:16 2022 read 6984173 cycles
  187. Sat Mar 5 04:46:25 2022 cycles contain 22387766 unique relations
  188. Sat Mar 5 04:47:42 2022 read 22387766 relations
  189. Sat Mar 5 04:48:50 2022 multiplying 22387766 relations
  190. Sat Mar 5 05:00:25 2022 multiply complete, coefficients have about 617.54 million bits
  191. Sat Mar 5 05:00:27 2022 initial square root is modulo 347071
  192. Sat Mar 5 05:12:43 2022 GCD is 1, no factor found
  193. Sat Mar 5 05:12:43 2022 reading relations for dependency 3
  194. Sat Mar 5 05:12:45 2022 read 6984667 cycles
  195. Sat Mar 5 05:12:53 2022 cycles contain 22391002 unique relations
  196. Sat Mar 5 05:14:10 2022 read 22391002 relations
  197. Sat Mar 5 05:15:18 2022 multiplying 22391002 relations
  198. Sat Mar 5 05:26:52 2022 multiply complete, coefficients have about 617.62 million bits
  199. Sat Mar 5 05:26:54 2022 initial square root is modulo 347533
  200. Sat Mar 5 05:39:08 2022 sqrtTime: 4777
  201. Sat Mar 5 05:39:08 2022 p78 factor: 119311408203546960878547419696246898142859958479270486890619848562599184587109
  202. Sat Mar 5 05:39:08 2022 p175 factor: 6455186372788123485273670050663155025556014344795954323640442156988513161885081340803360098617853498512860692246478165681907616036046932427185166444012819208979720957899616233
  203. Sat Mar 5 05:39:08 2022 elapsed time 09:49:33
  204.  
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