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May 20th, 2019
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  1. Sun May 19 23:14:35 2019
  2. Sun May 19 23:14:35 2019
  3. Sun May 19 23:14:35 2019 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun May 19 23:14:35 2019 random seeds: 4b2e3588 102fbda5
  5. Sun May 19 23:14:35 2019 factoring 1760489588342434845840495067922188205997974131814148215223328513641285979235941553300372556104717102725276163697570965121669574344585028486597973166589390748768687231 (166 digits)
  6. Sun May 19 23:14:36 2019 searching for 15-digit factors
  7. Sun May 19 23:14:37 2019 commencing number field sieve (166-digit input)
  8. Sun May 19 23:14:37 2019 R0: 942515635970762974701230663036441485173628274463967
  9. Sun May 19 23:14:37 2019 R1: -1
  10. Sun May 19 23:14:37 2019 A0: 1
  11. Sun May 19 23:14:37 2019 A1: 1
  12. Sun May 19 23:14:37 2019 A2: 1
  13. Sun May 19 23:14:37 2019 A3: 1
  14. Sun May 19 23:14:37 2019 A4: 1
  15. Sun May 19 23:14:37 2019 skew 1.00, size 8.343e-021, alpha 1.694, combined = 1.914e-012 rroots = 0
  16. Sun May 19 23:14:37 2019
  17. Sun May 19 23:14:37 2019 commencing relation filtering
  18. Sun May 19 23:14:37 2019 setting target matrix density to 120.0
  19. Sun May 19 23:14:37 2019 estimated available RAM is 16335.3 MB
  20. Sun May 19 23:14:37 2019 commencing duplicate removal, pass 1
  21. Sun May 19 23:17:40 2019 error -15 reading relation 13301574
  22. Sun May 19 23:18:25 2019 error -15 reading relation 16662934
  23. Sun May 19 23:19:53 2019 error -9 reading relation 23038815
  24. Sun May 19 23:20:19 2019 error -9 reading relation 24902642
  25. Sun May 19 23:20:40 2019 error -15 reading relation 26389601
  26. Sun May 19 23:20:48 2019 error -15 reading relation 26995756
  27. Sun May 19 23:23:04 2019 error -9 reading relation 37026220
  28. Sun May 19 23:23:07 2019 error -15 reading relation 37180128
  29. Sun May 19 23:23:08 2019 error -9 reading relation 37320826
  30. Sun May 19 23:23:11 2019 error -9 reading relation 37518006
  31. Sun May 19 23:23:14 2019 error -9 reading relation 37706519
  32. Sun May 19 23:23:17 2019 error -9 reading relation 37922577
  33. Sun May 19 23:23:23 2019 error -9 reading relation 38332731
  34. Sun May 19 23:23:24 2019 error -9 reading relation 38403477
  35. Sun May 19 23:23:33 2019 error -9 reading relation 39113411
  36. Sun May 19 23:23:39 2019 error -9 reading relation 39566117
  37. Sun May 19 23:24:40 2019 error -5 reading relation 44066373
  38. Sun May 19 23:31:31 2019 error -1 reading relation 73707514
  39. Sun May 19 23:31:31 2019 error -1 reading relation 73707515
  40. Sun May 19 23:31:31 2019 error -1 reading relation 73707516
  41. Sun May 19 23:31:31 2019 error -1 reading relation 73707517
  42. Sun May 19 23:31:31 2019 error -1 reading relation 73707518
  43. Sun May 19 23:31:31 2019 error -1 reading relation 73707519
  44. Sun May 19 23:31:31 2019 error -1 reading relation 73707520
  45. Sun May 19 23:45:46 2019 error -9 reading relation 137552999
  46. Sun May 19 23:45:51 2019 error -9 reading relation 137911107
  47. Sun May 19 23:45:51 2019 error -9 reading relation 137949113
  48. Sun May 19 23:46:06 2019 skipped 154 relations with b > 2^32
  49. Sun May 19 23:46:06 2019 skipped 17883 relations with composite factors
  50. Sun May 19 23:46:06 2019 found 24715591 hash collisions in 138954070 relations
  51. Sun May 19 23:46:14 2019 added 3657735 free relations
  52. Sun May 19 23:46:14 2019 commencing duplicate removal, pass 2
  53. Mon May 20 00:00:33 2019 found 22278534 duplicates and 120333271 unique relations
  54. Mon May 20 00:00:33 2019 memory use: 660.8 MB
  55. Mon May 20 00:00:33 2019 reading ideals above 89980928
  56. Mon May 20 00:00:33 2019 commencing singleton removal, initial pass
  57. Mon May 20 00:14:59 2019 memory use: 1506.0 MB
  58. Mon May 20 00:15:00 2019 reading all ideals from disk
  59. Mon May 20 00:15:00 2019 memory use: 1896.4 MB
  60. Mon May 20 00:15:04 2019 commencing in-memory singleton removal
  61. Mon May 20 00:15:08 2019 begin with 120333271 relations and 81789638 unique ideals
  62. Mon May 20 00:15:48 2019 reduce to 90806497 relations and 49981500 ideals in 11 passes
  63. Mon May 20 00:15:48 2019 max relations containing the same ideal: 47
  64. Mon May 20 00:15:54 2019 reading ideals above 720000
  65. Mon May 20 00:15:54 2019 commencing singleton removal, initial pass
  66. Mon May 20 00:29:06 2019 memory use: 1506.0 MB
  67. Mon May 20 00:29:07 2019 reading all ideals from disk
  68. Mon May 20 00:29:33 2019 memory use: 3296.3 MB
  69. Mon May 20 00:29:41 2019 keeping 59918427 ideals with weight <= 200, target excess is 494594
  70. Mon May 20 00:29:50 2019 commencing in-memory singleton removal
  71. Mon May 20 00:29:56 2019 begin with 90806497 relations and 59918427 unique ideals
  72. Mon May 20 00:30:37 2019 reduce to 90804482 relations and 59916407 ideals in 6 passes
  73. Mon May 20 00:30:37 2019 max relations containing the same ideal: 200
  74. Mon May 20 00:31:08 2019 removing 7020472 relations and 5020472 ideals in 2000000 cliques
  75. Mon May 20 00:31:10 2019 commencing in-memory singleton removal
  76. Mon May 20 00:31:16 2019 begin with 83784010 relations and 59916407 unique ideals
  77. Mon May 20 00:32:00 2019 reduce to 83303648 relations and 54401503 ideals in 7 passes
  78. Mon May 20 00:32:00 2019 max relations containing the same ideal: 197
  79. Mon May 20 00:32:29 2019 removing 5746625 relations and 3746625 ideals in 2000000 cliques
  80. Mon May 20 00:32:31 2019 commencing in-memory singleton removal
  81. Mon May 20 00:32:36 2019 begin with 77557023 relations and 54401503 unique ideals
  82. Mon May 20 00:33:11 2019 reduce to 77247343 relations and 50337198 ideals in 6 passes
  83. Mon May 20 00:33:11 2019 max relations containing the same ideal: 192
  84. Mon May 20 00:33:38 2019 removing 5390814 relations and 3390814 ideals in 2000000 cliques
  85. Mon May 20 00:33:40 2019 commencing in-memory singleton removal
  86. Mon May 20 00:33:45 2019 begin with 71856529 relations and 50337198 unique ideals
  87. Mon May 20 00:34:17 2019 reduce to 71597662 relations and 46680765 ideals in 6 passes
  88. Mon May 20 00:34:17 2019 max relations containing the same ideal: 181
  89. Mon May 20 00:34:42 2019 removing 5193857 relations and 3193857 ideals in 2000000 cliques
  90. Mon May 20 00:34:44 2019 commencing in-memory singleton removal
  91. Mon May 20 00:34:48 2019 begin with 66403805 relations and 46680765 unique ideals
  92. Mon May 20 00:35:18 2019 reduce to 66169870 relations and 43246759 ideals in 6 passes
  93. Mon May 20 00:35:18 2019 max relations containing the same ideal: 175
  94. Mon May 20 00:35:40 2019 removing 5056991 relations and 3056991 ideals in 2000000 cliques
  95. Mon May 20 00:35:42 2019 commencing in-memory singleton removal
  96. Mon May 20 00:35:46 2019 begin with 61112879 relations and 43246759 unique ideals
  97. Mon May 20 00:36:09 2019 reduce to 60892629 relations and 39963527 ideals in 5 passes
  98. Mon May 20 00:36:09 2019 max relations containing the same ideal: 167
  99. Mon May 20 00:36:30 2019 removing 4958033 relations and 2958033 ideals in 2000000 cliques
  100. Mon May 20 00:36:32 2019 commencing in-memory singleton removal
  101. Mon May 20 00:36:35 2019 begin with 55934596 relations and 39963527 unique ideals
  102. Mon May 20 00:37:00 2019 reduce to 55720986 relations and 36785573 ideals in 6 passes
  103. Mon May 20 00:37:00 2019 max relations containing the same ideal: 159
  104. Mon May 20 00:37:19 2019 removing 4877889 relations and 2877889 ideals in 2000000 cliques
  105. Mon May 20 00:37:21 2019 commencing in-memory singleton removal
  106. Mon May 20 00:37:24 2019 begin with 50843097 relations and 36785573 unique ideals
  107. Mon May 20 00:37:46 2019 reduce to 50632054 relations and 33690106 ideals in 6 passes
  108. Mon May 20 00:37:46 2019 max relations containing the same ideal: 149
  109. Mon May 20 00:38:03 2019 removing 4808944 relations and 2808944 ideals in 2000000 cliques
  110. Mon May 20 00:38:05 2019 commencing in-memory singleton removal
  111. Mon May 20 00:38:08 2019 begin with 45823110 relations and 33690106 unique ideals
  112. Mon May 20 00:38:24 2019 reduce to 45609902 relations and 30660912 ideals in 5 passes
  113. Mon May 20 00:38:24 2019 max relations containing the same ideal: 140
  114. Mon May 20 00:38:40 2019 removing 4751337 relations and 2751337 ideals in 2000000 cliques
  115. Mon May 20 00:38:41 2019 commencing in-memory singleton removal
  116. Mon May 20 00:38:44 2019 begin with 40858565 relations and 30660912 unique ideals
  117. Mon May 20 00:38:58 2019 reduce to 40640212 relations and 27683423 ideals in 5 passes
  118. Mon May 20 00:38:58 2019 max relations containing the same ideal: 131
  119. Mon May 20 00:39:12 2019 removing 4701223 relations and 2701223 ideals in 2000000 cliques
  120. Mon May 20 00:39:14 2019 commencing in-memory singleton removal
  121. Mon May 20 00:39:16 2019 begin with 35938989 relations and 27683423 unique ideals
  122. Mon May 20 00:39:28 2019 reduce to 35714005 relations and 24748551 ideals in 5 passes
  123. Mon May 20 00:39:28 2019 max relations containing the same ideal: 118
  124. Mon May 20 00:39:40 2019 removing 4651123 relations and 2651123 ideals in 2000000 cliques
  125. Mon May 20 00:39:42 2019 commencing in-memory singleton removal
  126. Mon May 20 00:39:44 2019 begin with 31062882 relations and 24748551 unique ideals
  127. Mon May 20 00:39:56 2019 reduce to 30829794 relations and 21854489 ideals in 6 passes
  128. Mon May 20 00:39:56 2019 max relations containing the same ideal: 108
  129. Mon May 20 00:40:07 2019 removing 4599712 relations and 2599712 ideals in 2000000 cliques
  130. Mon May 20 00:40:08 2019 commencing in-memory singleton removal
  131. Mon May 20 00:40:09 2019 begin with 26230082 relations and 21854489 unique ideals
  132. Mon May 20 00:40:20 2019 reduce to 25980413 relations and 18993657 ideals in 6 passes
  133. Mon May 20 00:40:20 2019 max relations containing the same ideal: 98
  134. Mon May 20 00:40:28 2019 removing 4546335 relations and 2546335 ideals in 2000000 cliques
  135. Mon May 20 00:40:30 2019 commencing in-memory singleton removal
  136. Mon May 20 00:40:31 2019 begin with 21434078 relations and 18993657 unique ideals
  137. Mon May 20 00:40:39 2019 reduce to 21161434 relations and 16160496 ideals in 6 passes
  138. Mon May 20 00:40:39 2019 max relations containing the same ideal: 83
  139. Mon May 20 00:40:46 2019 removing 4485670 relations and 2485670 ideals in 2000000 cliques
  140. Mon May 20 00:40:47 2019 commencing in-memory singleton removal
  141. Mon May 20 00:40:48 2019 begin with 16675764 relations and 16160496 unique ideals
  142. Mon May 20 00:40:56 2019 reduce to 16362930 relations and 13343067 ideals in 7 passes
  143. Mon May 20 00:40:56 2019 max relations containing the same ideal: 72
  144. Mon May 20 00:41:01 2019 removing 4426776 relations and 2426776 ideals in 2000000 cliques
  145. Mon May 20 00:41:02 2019 commencing in-memory singleton removal
  146. Mon May 20 00:41:02 2019 begin with 11936154 relations and 13343067 unique ideals
  147. Mon May 20 00:41:08 2019 reduce to 11534130 relations and 10484642 ideals in 7 passes
  148. Mon May 20 00:41:08 2019 max relations containing the same ideal: 54
  149. Mon May 20 00:41:11 2019 removing 1268472 relations and 792714 ideals in 475758 cliques
  150. Mon May 20 00:41:11 2019 commencing in-memory singleton removal
  151. Mon May 20 00:41:12 2019 begin with 10265658 relations and 10484642 unique ideals
  152. Mon May 20 00:41:16 2019 reduce to 10096079 relations and 9514880 ideals in 7 passes
  153. Mon May 20 00:41:16 2019 max relations containing the same ideal: 51
  154. Mon May 20 00:41:20 2019 relations with 0 large ideals: 37316
  155. Mon May 20 00:41:20 2019 relations with 1 large ideals: 15417
  156. Mon May 20 00:41:20 2019 relations with 2 large ideals: 165186
  157. Mon May 20 00:41:20 2019 relations with 3 large ideals: 763504
  158. Mon May 20 00:41:20 2019 relations with 4 large ideals: 1874052
  159. Mon May 20 00:41:20 2019 relations with 5 large ideals: 2999998
  160. Mon May 20 00:41:20 2019 relations with 6 large ideals: 2325328
  161. Mon May 20 00:41:20 2019 relations with 7+ large ideals: 1915278
  162. Mon May 20 00:41:20 2019 commencing 2-way merge
  163. Mon May 20 00:41:25 2019 reduce to 7937295 relation sets and 7356096 unique ideals
  164. Mon May 20 00:41:25 2019 commencing full merge
  165. Mon May 20 00:43:29 2019 memory use: 829.1 MB
  166. Mon May 20 00:43:30 2019 found 3292514 cycles, need 3278296
  167. Mon May 20 00:43:30 2019 weight of 3278296 cycles is about 393999005 (120.18/cycle)
  168. Mon May 20 00:43:30 2019 distribution of cycle lengths:
  169. Mon May 20 00:43:30 2019 1 relations: 70662
  170. Mon May 20 00:43:30 2019 2 relations: 131969
  171. Mon May 20 00:43:30 2019 3 relations: 197421
  172. Mon May 20 00:43:30 2019 4 relations: 232435
  173. Mon May 20 00:43:30 2019 5 relations: 252061
  174. Mon May 20 00:43:30 2019 6 relations: 254556
  175. Mon May 20 00:43:30 2019 7 relations: 247407
  176. Mon May 20 00:43:30 2019 8 relations: 233860
  177. Mon May 20 00:43:30 2019 9 relations: 215720
  178. Mon May 20 00:43:30 2019 10+ relations: 1442205
  179. Mon May 20 00:43:30 2019 heaviest cycle: 28 relations
  180. Mon May 20 00:43:31 2019 commencing cycle optimization
  181. Mon May 20 00:43:36 2019 start with 31813314 relations
  182. Mon May 20 00:44:55 2019 pruned 2328537 relations
  183. Mon May 20 00:44:55 2019 memory use: 739.5 MB
  184. Mon May 20 00:44:55 2019 distribution of cycle lengths:
  185. Mon May 20 00:44:55 2019 1 relations: 70662
  186. Mon May 20 00:44:55 2019 2 relations: 136882
  187. Mon May 20 00:44:55 2019 3 relations: 209715
  188. Mon May 20 00:44:55 2019 4 relations: 248711
  189. Mon May 20 00:44:55 2019 5 relations: 274393
  190. Mon May 20 00:44:55 2019 6 relations: 276581
  191. Mon May 20 00:44:55 2019 7 relations: 270397
  192. Mon May 20 00:44:55 2019 8 relations: 253602
  193. Mon May 20 00:44:55 2019 9 relations: 232539
  194. Mon May 20 00:44:55 2019 10+ relations: 1304814
  195. Mon May 20 00:44:55 2019 heaviest cycle: 28 relations
  196. Mon May 20 00:44:59 2019 RelProcTime: 5422
  197. Mon May 20 00:44:59 2019
  198. Mon May 20 00:44:59 2019 commencing linear algebra
  199. Mon May 20 00:44:59 2019 read 3278296 cycles
  200. Mon May 20 00:45:06 2019 cycles contain 9823364 unique relations
  201. Mon May 20 00:50:43 2019 read 9823364 relations
  202. Mon May 20 00:50:59 2019 using 20 quadratic characters above 4294917295
  203. Mon May 20 00:51:43 2019 building initial matrix
  204. Mon May 20 00:53:44 2019 memory use: 1257.5 MB
  205. Mon May 20 00:54:00 2019 read 3278296 cycles
  206. Mon May 20 00:54:01 2019 matrix is 3278125 x 3278296 (1496.6 MB) with weight 430307117 (131.26/col)
  207. Mon May 20 00:54:01 2019 sparse part has weight 356266814 (108.67/col)
  208. Mon May 20 00:54:39 2019 filtering completed in 2 passes
  209. Mon May 20 00:54:40 2019 matrix is 3278043 x 3278214 (1496.6 MB) with weight 430303923 (131.26/col)
  210. Mon May 20 00:54:40 2019 sparse part has weight 356265477 (108.68/col)
  211. Mon May 20 00:54:48 2019 matrix starts at (0, 0)
  212. Mon May 20 00:54:48 2019 matrix is 3278043 x 3278214 (1496.6 MB) with weight 430303923 (131.26/col)
  213. Mon May 20 00:54:48 2019 sparse part has weight 356265477 (108.68/col)
  214. Mon May 20 00:54:48 2019 saving the first 112 matrix rows for later
  215. Mon May 20 00:54:49 2019 matrix includes 128 packed rows
  216. Mon May 20 00:54:50 2019 matrix is 3277931 x 3278214 (1377.7 MB) with weight 341803414 (104.27/col)
  217. Mon May 20 00:54:50 2019 sparse part has weight 321816524 (98.17/col)
  218. Mon May 20 00:54:50 2019 using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  219. Mon May 20 00:55:03 2019 commencing Lanczos iteration (8 threads)
  220. Mon May 20 00:55:03 2019 memory use: 1510.9 MB
  221. Mon May 20 00:55:14 2019 linear algebra at 0.0%, ETA 5h57m
  222. Mon May 20 00:55:18 2019 checkpointing every 530000 dimensions
  223. Mon May 20 06:46:13 2019 lanczos halted after 25763 iterations (dim = 3277930)
  224. Mon May 20 06:46:19 2019 recovered 38 nontrivial dependencies
  225. Mon May 20 06:46:20 2019 BLanczosTime: 21681
  226. Mon May 20 06:46:20 2019
  227. Mon May 20 06:46:20 2019 commencing square root phase
  228. Mon May 20 06:46:20 2019 handling dependencies 1 to 64
  229. Mon May 20 06:46:20 2019 reading relations for dependency 1
  230. Mon May 20 06:46:21 2019 read 1637102 cycles
  231. Mon May 20 06:46:24 2019 cycles contain 4908272 unique relations
  232. Mon May 20 06:48:40 2019 read 4908272 relations
  233. Mon May 20 06:48:59 2019 multiplying 4908272 relations
  234. Mon May 20 06:50:26 2019 multiply complete, coefficients have about 122.62 million bits
  235. Mon May 20 06:50:27 2019 initial square root is modulo 632897257
  236. Mon May 20 06:52:19 2019 sqrtTime: 359
  237. Mon May 20 06:52:19 2019 p74 factor: 18280908336547223928219832198141405000156502470480736451669418039276459861
  238. Mon May 20 06:52:19 2019 p92 factor: 96302084991196032689075709310358240111554310874974916797687414214352754960674730255304791171
  239. Mon May 20 06:52:19 2019 elapsed time 07:37:44
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