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May 26th, 2021
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  1. Wed May 26 15:35:57 2021
  2. Wed May 26 15:35:57 2021
  3. Wed May 26 15:35:57 2021 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed May 26 15:35:57 2021 random seeds: 4bf300d0 d25d6181
  5. Wed May 26 15:35:57 2021 factoring 2554492351743203553466465047163590561279014056908519070000000685201516774421702793327336915507089727958089217742945779099282127536202744456448278526479422651 (157 digits)
  6. Wed May 26 15:35:58 2021 searching for 15-digit factors
  7. Wed May 26 15:35:58 2021 commencing number field sieve (157-digit input)
  8. Wed May 26 15:35:58 2021 R0: -2530893774868872527835187432854
  9. Wed May 26 15:35:58 2021 R1: 11653837865472407
  10. Wed May 26 15:35:58 2021 A0: -39861548823757403003701316883289116185
  11. Wed May 26 15:35:58 2021 A1: -57577200590567430222475767684207
  12. Wed May 26 15:35:58 2021 A2: 49851357607445266131094441
  13. Wed May 26 15:35:58 2021 A3: -11633836605299727549
  14. Wed May 26 15:35:58 2021 A4: -1087030755260
  15. Wed May 26 15:35:58 2021 A5: 24600
  16. Wed May 26 15:35:58 2021 skew 1.00, size 2.933e-015, alpha -6.955, combined = 1.490e-014 rroots = 3
  17. Wed May 26 15:35:58 2021
  18. Wed May 26 15:35:58 2021 commencing relation filtering
  19. Wed May 26 15:35:58 2021 setting target matrix density to 110.0
  20. Wed May 26 15:35:58 2021 estimated available RAM is 32684.7 MB
  21. Wed May 26 15:35:58 2021 commencing duplicate removal, pass 1
  22. Wed May 26 15:36:55 2021 error -9 reading relation 8703777
  23. Wed May 26 15:38:11 2021 error -15 reading relation 20287478
  24. Wed May 26 15:38:11 2021 error -1 reading relation 20287479
  25. Wed May 26 15:38:17 2021 error -15 reading relation 21183124
  26. Wed May 26 15:38:28 2021 error -15 reading relation 22894559
  27. Wed May 26 15:38:52 2021 error -1 reading relation 26549788
  28. Wed May 26 15:39:05 2021 error -15 reading relation 28544066
  29. Wed May 26 15:39:06 2021 error -5 reading relation 28689508
  30. Wed May 26 15:39:27 2021 error -15 reading relation 31884952
  31. Wed May 26 15:39:33 2021 error -5 reading relation 32762194
  32. Wed May 26 15:39:41 2021 error -15 reading relation 34019853
  33. Wed May 26 15:39:44 2021 error -9 reading relation 34464854
  34. Wed May 26 15:40:00 2021 error -15 reading relation 36910851
  35. Wed May 26 15:40:03 2021 error -1 reading relation 37299447
  36. Wed May 26 15:40:06 2021 error -9 reading relation 37751586
  37. Wed May 26 15:40:10 2021 error -9 reading relation 38346762
  38. Wed May 26 15:40:10 2021 error -15 reading relation 38426769
  39. Wed May 26 15:40:11 2021 error -15 reading relation 38581842
  40. Wed May 26 15:40:23 2021 error -15 reading relation 40360219
  41. Wed May 26 15:40:24 2021 error -15 reading relation 40438362
  42. Wed May 26 15:40:29 2021 error -5 reading relation 41275013
  43. Wed May 26 15:40:36 2021 error -15 reading relation 42357120
  44. Wed May 26 15:40:45 2021 error -9 reading relation 43652773
  45. Wed May 26 15:41:07 2021 error -9 reading relation 46922792
  46. Wed May 26 15:41:10 2021 error -15 reading relation 47458791
  47. Wed May 26 15:41:14 2021 error -15 reading relation 48082790
  48. Wed May 26 15:41:15 2021 error -9 reading relation 48232176
  49. Wed May 26 15:41:16 2021 error -9 reading relation 48300469
  50. Wed May 26 15:41:17 2021 error -15 reading relation 48527723
  51. Wed May 26 15:41:20 2021 error -15 reading relation 48980222
  52. Wed May 26 15:41:23 2021 error -15 reading relation 49355006
  53. Wed May 26 15:41:25 2021 error -9 reading relation 49628507
  54. Wed May 26 15:41:41 2021 error -15 reading relation 52106059
  55. Wed May 26 15:41:42 2021 error -9 reading relation 52301806
  56. Wed May 26 15:41:43 2021 error -1 reading relation 52392030
  57. Wed May 26 15:41:44 2021 error -1 reading relation 52510215
  58. Wed May 26 15:41:48 2021 error -15 reading relation 53213906
  59. Wed May 26 15:41:48 2021 error -1 reading relation 53214426
  60. Wed May 26 15:41:50 2021 error -15 reading relation 53405993
  61. Wed May 26 15:41:50 2021 error -9 reading relation 53453445
  62. Wed May 26 15:41:52 2021 error -9 reading relation 53819540
  63. Wed May 26 15:41:54 2021 error -15 reading relation 54027461
  64. Wed May 26 15:41:57 2021 error -15 reading relation 54488076
  65. Wed May 26 15:41:57 2021 error -9 reading relation 54519234
  66. Wed May 26 15:42:15 2021 error -15 reading relation 57320028
  67. Wed May 26 15:42:24 2021 error -15 reading relation 58607379
  68. Wed May 26 15:42:24 2021 error -15 reading relation 58674418
  69. Wed May 26 15:42:31 2021 error -9 reading relation 59719443
  70. Wed May 26 15:44:02 2021 error -15 reading relation 73572345
  71. Wed May 26 15:44:08 2021 error -9 reading relation 74494288
  72. Wed May 26 15:44:09 2021 error -1 reading relation 74668809
  73. Wed May 26 15:44:16 2021 error -9 reading relation 75716713
  74. Wed May 26 15:44:16 2021 error -9 reading relation 75729693
  75. Wed May 26 15:44:17 2021 skipped 13 relations with composite factors
  76. Wed May 26 15:44:17 2021 found 19064783 hash collisions in 75876225 relations
  77. Wed May 26 15:44:43 2021 commencing duplicate removal, pass 2
  78. Wed May 26 15:45:55 2021 found 22879574 duplicates and 52996651 unique relations
  79. Wed May 26 15:45:55 2021 memory use: 426.4 MB
  80. Wed May 26 15:45:55 2021 reading ideals above 720000
  81. Wed May 26 15:45:55 2021 commencing singleton removal, initial pass
  82. Wed May 26 15:51:25 2021 memory use: 1378.0 MB
  83. Wed May 26 15:51:25 2021 reading all ideals from disk
  84. Wed May 26 15:51:26 2021 memory use: 1928.7 MB
  85. Wed May 26 15:51:29 2021 keeping 48108968 ideals with weight <= 200, target excess is 279807
  86. Wed May 26 15:51:32 2021 commencing in-memory singleton removal
  87. Wed May 26 15:51:35 2021 begin with 52996651 relations and 48108968 unique ideals
  88. Wed May 26 15:51:55 2021 reduce to 36870720 relations and 30562493 ideals in 11 passes
  89. Wed May 26 15:51:55 2021 max relations containing the same ideal: 164
  90. Wed May 26 15:52:06 2021 removing 4359447 relations and 3359447 ideals in 1000000 cliques
  91. Wed May 26 15:52:07 2021 commencing in-memory singleton removal
  92. Wed May 26 15:52:08 2021 begin with 32511273 relations and 30562493 unique ideals
  93. Wed May 26 15:52:19 2021 reduce to 32092277 relations and 26770455 ideals in 7 passes
  94. Wed May 26 15:52:19 2021 max relations containing the same ideal: 150
  95. Wed May 26 15:52:29 2021 removing 3492135 relations and 2492135 ideals in 1000000 cliques
  96. Wed May 26 15:52:29 2021 commencing in-memory singleton removal
  97. Wed May 26 15:52:31 2021 begin with 28600142 relations and 26770455 unique ideals
  98. Wed May 26 15:52:41 2021 reduce to 28292288 relations and 23961020 ideals in 8 passes
  99. Wed May 26 15:52:41 2021 max relations containing the same ideal: 139
  100. Wed May 26 15:52:50 2021 removing 3270463 relations and 2270463 ideals in 1000000 cliques
  101. Wed May 26 15:52:50 2021 commencing in-memory singleton removal
  102. Wed May 26 15:52:51 2021 begin with 25021825 relations and 23961020 unique ideals
  103. Wed May 26 15:53:01 2021 reduce to 24722291 relations and 21381547 ideals in 9 passes
  104. Wed May 26 15:53:01 2021 max relations containing the same ideal: 129
  105. Wed May 26 15:53:09 2021 removing 3186473 relations and 2186473 ideals in 1000000 cliques
  106. Wed May 26 15:53:10 2021 commencing in-memory singleton removal
  107. Wed May 26 15:53:10 2021 begin with 21535818 relations and 21381547 unique ideals
  108. Wed May 26 15:53:18 2021 reduce to 21219179 relations and 18867115 ideals in 8 passes
  109. Wed May 26 15:53:18 2021 max relations containing the same ideal: 121
  110. Wed May 26 15:53:25 2021 removing 3162435 relations and 2162435 ideals in 1000000 cliques
  111. Wed May 26 15:53:25 2021 commencing in-memory singleton removal
  112. Wed May 26 15:53:26 2021 begin with 18056744 relations and 18867115 unique ideals
  113. Wed May 26 15:53:31 2021 reduce to 17697175 relations and 16330403 ideals in 7 passes
  114. Wed May 26 15:53:31 2021 max relations containing the same ideal: 104
  115. Wed May 26 15:53:37 2021 removing 3176321 relations and 2176321 ideals in 1000000 cliques
  116. Wed May 26 15:53:38 2021 commencing in-memory singleton removal
  117. Wed May 26 15:53:38 2021 begin with 14520854 relations and 16330403 unique ideals
  118. Wed May 26 15:53:43 2021 reduce to 14080208 relations and 13692129 ideals in 8 passes
  119. Wed May 26 15:53:43 2021 max relations containing the same ideal: 87
  120. Wed May 26 15:53:48 2021 removing 362741 relations and 299239 ideals in 63502 cliques
  121. Wed May 26 15:53:48 2021 commencing in-memory singleton removal
  122. Wed May 26 15:53:48 2021 begin with 13717467 relations and 13692129 unique ideals
  123. Wed May 26 15:53:52 2021 reduce to 13711014 relations and 13386402 ideals in 6 passes
  124. Wed May 26 15:53:52 2021 max relations containing the same ideal: 84
  125. Wed May 26 15:53:53 2021 relations with 0 large ideals: 946
  126. Wed May 26 15:53:53 2021 relations with 1 large ideals: 3078
  127. Wed May 26 15:53:53 2021 relations with 2 large ideals: 47101
  128. Wed May 26 15:53:53 2021 relations with 3 large ideals: 329234
  129. Wed May 26 15:53:53 2021 relations with 4 large ideals: 1224388
  130. Wed May 26 15:53:53 2021 relations with 5 large ideals: 2709502
  131. Wed May 26 15:53:53 2021 relations with 6 large ideals: 3752704
  132. Wed May 26 15:53:53 2021 relations with 7+ large ideals: 5644061
  133. Wed May 26 15:53:53 2021 commencing 2-way merge
  134. Wed May 26 15:54:00 2021 reduce to 9071421 relation sets and 8746809 unique ideals
  135. Wed May 26 15:54:00 2021 commencing full merge
  136. Wed May 26 15:56:11 2021 memory use: 1081.9 MB
  137. Wed May 26 15:56:12 2021 found 4127230 cycles, need 4097009
  138. Wed May 26 15:56:12 2021 weight of 4097009 cycles is about 451272904 (110.15/cycle)
  139. Wed May 26 15:56:12 2021 distribution of cycle lengths:
  140. Wed May 26 15:56:12 2021 1 relations: 215097
  141. Wed May 26 15:56:12 2021 2 relations: 283868
  142. Wed May 26 15:56:12 2021 3 relations: 324792
  143. Wed May 26 15:56:12 2021 4 relations: 330670
  144. Wed May 26 15:56:12 2021 5 relations: 336578
  145. Wed May 26 15:56:12 2021 6 relations: 327431
  146. Wed May 26 15:56:12 2021 7 relations: 313439
  147. Wed May 26 15:56:12 2021 8 relations: 292198
  148. Wed May 26 15:56:12 2021 9 relations: 268734
  149. Wed May 26 15:56:12 2021 10+ relations: 1404202
  150. Wed May 26 15:56:12 2021 heaviest cycle: 27 relations
  151. Wed May 26 15:56:13 2021 commencing cycle optimization
  152. Wed May 26 15:56:19 2021 start with 33098551 relations
  153. Wed May 26 15:57:15 2021 pruned 1507174 relations
  154. Wed May 26 15:57:15 2021 memory use: 907.2 MB
  155. Wed May 26 15:57:15 2021 distribution of cycle lengths:
  156. Wed May 26 15:57:15 2021 1 relations: 215097
  157. Wed May 26 15:57:15 2021 2 relations: 292256
  158. Wed May 26 15:57:15 2021 3 relations: 340302
  159. Wed May 26 15:57:15 2021 4 relations: 345971
  160. Wed May 26 15:57:15 2021 5 relations: 353954
  161. Wed May 26 15:57:15 2021 6 relations: 343634
  162. Wed May 26 15:57:15 2021 7 relations: 329699
  163. Wed May 26 15:57:15 2021 8 relations: 304667
  164. Wed May 26 15:57:15 2021 9 relations: 278373
  165. Wed May 26 15:57:15 2021 10+ relations: 1293056
  166. Wed May 26 15:57:15 2021 heaviest cycle: 26 relations
  167. Wed May 26 15:57:19 2021 RelProcTime: 1281
  168. Wed May 26 15:57:19 2021
  169. Wed May 26 15:57:19 2021 commencing linear algebra
  170. Wed May 26 15:57:19 2021 read 4097009 cycles
  171. Wed May 26 15:57:25 2021 cycles contain 13536501 unique relations
  172. Wed May 26 15:59:00 2021 read 13536501 relations
  173. Wed May 26 15:59:19 2021 using 20 quadratic characters above 4294917295
  174. Wed May 26 15:59:58 2021 building initial matrix
  175. Wed May 26 16:01:54 2021 memory use: 1842.1 MB
  176. Wed May 26 16:01:57 2021 read 4097009 cycles
  177. Wed May 26 16:01:57 2021 matrix is 4096831 x 4097009 (1789.7 MB) with weight 545637666 (133.18/col)
  178. Wed May 26 16:01:57 2021 sparse part has weight 419995328 (102.51/col)
  179. Wed May 26 16:02:24 2021 filtering completed in 2 passes
  180. Wed May 26 16:02:25 2021 matrix is 4096629 x 4096807 (1789.7 MB) with weight 545628451 (133.18/col)
  181. Wed May 26 16:02:25 2021 sparse part has weight 419992655 (102.52/col)
  182. Wed May 26 16:02:32 2021 matrix starts at (0, 0)
  183. Wed May 26 16:02:32 2021 matrix is 4096629 x 4096807 (1789.7 MB) with weight 545628451 (133.18/col)
  184. Wed May 26 16:02:32 2021 sparse part has weight 419992655 (102.52/col)
  185. Wed May 26 16:02:32 2021 saving the first 240 matrix rows for later
  186. Wed May 26 16:02:33 2021 matrix includes 256 packed rows
  187. Wed May 26 16:02:34 2021 matrix is 4096389 x 4096807 (1600.1 MB) with weight 380343788 (92.84/col)
  188. Wed May 26 16:02:34 2021 sparse part has weight 353903114 (86.39/col)
  189. Wed May 26 16:02:34 2021 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  190. Wed May 26 16:02:45 2021 commencing Lanczos iteration (23 threads)
  191. Wed May 26 16:02:45 2021 memory use: 2247.0 MB
  192. Wed May 26 16:02:50 2021 linear algebra at 0.0%, ETA 2h58m
  193. Wed May 26 16:02:51 2021 checkpointing every 1480000 dimensions
  194. Wed May 26 18:07:56 2021
  195. Wed May 26 18:07:56 2021
  196. Wed May 26 18:07:56 2021 Msieve v. 1.54 (SVN Unversioned directory)
  197. Wed May 26 18:07:56 2021 random seeds: 4809b30c 1a0c66d9
  198. Wed May 26 18:07:56 2021 factoring 2554492351743203553466465047163590561279014056908519070000000685201516774421702793327336915507089727958089217742945779099282127536202744456448278526479422651 (157 digits)
  199. Wed May 26 18:07:56 2021 searching for 15-digit factors
  200. Wed May 26 18:07:56 2021 commencing number field sieve (157-digit input)
  201. Wed May 26 18:07:56 2021 R0: -2530893774868872527835187432854
  202. Wed May 26 18:07:56 2021 R1: 11653837865472407
  203. Wed May 26 18:07:56 2021 A0: -39861548823757403003701316883289116185
  204. Wed May 26 18:07:56 2021 A1: -57577200590567430222475767684207
  205. Wed May 26 18:07:56 2021 A2: 49851357607445266131094441
  206. Wed May 26 18:07:56 2021 A3: -11633836605299727549
  207. Wed May 26 18:07:56 2021 A4: -1087030755260
  208. Wed May 26 18:07:56 2021 A5: 24600
  209. Wed May 26 18:07:56 2021 skew 1.00, size 2.933e-015, alpha -6.955, combined = 1.490e-014 rroots = 3
  210. Wed May 26 18:07:56 2021
  211. Wed May 26 18:07:56 2021 commencing linear algebra
  212. Wed May 26 18:07:58 2021 matrix starts at (0, 0)
  213. Wed May 26 18:07:58 2021 matrix is 4096629 x 4096807 (1789.7 MB) with weight 545628451 (133.18/col)
  214. Wed May 26 18:07:58 2021 sparse part has weight 419992655 (102.52/col)
  215. Wed May 26 18:07:58 2021 saving the first 240 matrix rows for later
  216. Wed May 26 18:07:59 2021 matrix includes 256 packed rows
  217. Wed May 26 18:08:00 2021 matrix is 4096389 x 4096807 (1600.1 MB) with weight 380343788 (92.84/col)
  218. Wed May 26 18:08:00 2021 sparse part has weight 353903114 (86.39/col)
  219. Wed May 26 18:08:00 2021 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  220. Wed May 26 18:08:11 2021 commencing Lanczos iteration (24 threads)
  221. Wed May 26 18:08:11 2021 memory use: 2247.1 MB
  222. Wed May 26 18:08:11 2021 restarting at iteration 5799 (dim = 1480134)
  223. Wed May 26 18:08:15 2021 linear algebra at 36.2%, ETA 1h53m
  224. Wed May 26 18:08:16 2021 checkpointing every 1470000 dimensions
  225. Wed May 26 20:03:52 2021 lanczos halted after 16051 iterations (dim = 4096389)
  226. Wed May 26 20:04:03 2021 recovered 32 nontrivial dependencies
  227. Wed May 26 20:04:04 2021 BLanczosTime: 6968
  228. Wed May 26 20:04:04 2021
  229. Wed May 26 20:04:04 2021 commencing square root phase
  230. Wed May 26 20:04:04 2021 reading relations for dependency 1
  231. Wed May 26 20:04:04 2021 read 2048753 cycles
  232. Wed May 26 20:04:07 2021 cycles contain 6773418 unique relations
  233. Wed May 26 20:05:16 2021 read 6773418 relations
  234. Wed May 26 20:05:36 2021 multiplying 6773418 relations
  235. Wed May 26 20:09:44 2021 multiply complete, coefficients have about 350.88 million bits
  236. Wed May 26 20:09:45 2021 initial square root is modulo 1977067
  237. Wed May 26 20:14:13 2021 sqrtTime: 609
  238. Wed May 26 20:14:13 2021 p63 factor: 100017576746571698829069957017933080364050169132171253243124481
  239. Wed May 26 20:14:13 2021 p95 factor: 25540434340014779996360985590058091748355493138758446792659046515907246080456144530845443824571
  240. Wed May 26 20:14:13 2021 elapsed time 02:06:17
  241.  
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