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Nov 18th, 2020
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  1. Tue Nov 17 08:26:42 2020
  2. Tue Nov 17 08:26:42 2020
  3. Tue Nov 17 08:26:42 2020 Msieve v. 1.54 (SVN 1025)
  4. Tue Nov 17 08:26:42 2020 random seeds: 758ef277 8f67ec49
  5. Tue Nov 17 08:26:42 2020 factoring 15837028266555672662816919731288047232853317445663179901550084813343657668832386838221336328101529448062626310623421232970918842074775121401992964239733947564254901993155353739409508078676134871 (194 digits)
  6. Tue Nov 17 08:26:43 2020 searching for 15-digit factors
  7. Tue Nov 17 08:26:44 2020 commencing number field sieve (194-digit input)
  8. Tue Nov 17 08:26:44 2020 R0: 28343494036522194840123504160699775017
  9. Tue Nov 17 08:26:44 2020 R1: -1
  10. Tue Nov 17 08:26:44 2020 A0: 1
  11. Tue Nov 17 08:26:44 2020 A1: 1
  12. Tue Nov 17 08:26:44 2020 A2: 1
  13. Tue Nov 17 08:26:44 2020 A3: 1
  14. Tue Nov 17 08:26:44 2020 A4: 1
  15. Tue Nov 17 08:26:44 2020 A5: 1
  16. Tue Nov 17 08:26:44 2020 A6: 1
  17. Tue Nov 17 08:26:44 2020 skew 1.00, size 3.874e-11, alpha 2.428, combined = 1.703e-12 rroots = 0
  18. Tue Nov 17 08:26:44 2020
  19. Tue Nov 17 08:26:44 2020 commencing relation filtering
  20. Tue Nov 17 08:26:44 2020 setting max relations to 110000000
  21. Tue Nov 17 08:26:44 2020 setting target matrix density to 128.0
  22. Tue Nov 17 08:26:44 2020 estimated available RAM is 15984.6 MB
  23. Tue Nov 17 08:26:44 2020 commencing duplicate removal, pass 1
  24. Tue Nov 17 08:38:41 2020 skipped 15 relations with b > 2^32
  25. Tue Nov 17 08:38:41 2020 found 5269182 hash collisions in 109999985 relations
  26. Tue Nov 17 08:38:41 2020 commencing duplicate removal, pass 2
  27. Tue Nov 17 08:39:04 2020 found 0 duplicates and 109999985 unique relations
  28. Tue Nov 17 08:39:04 2020 memory use: 378.4 MB
  29. Tue Nov 17 08:39:04 2020 reading ideals above 75956224
  30. Tue Nov 17 08:39:04 2020 commencing singleton removal, initial pass
  31. Tue Nov 17 08:47:50 2020 memory use: 2756.0 MB
  32. Tue Nov 17 08:47:50 2020 reading all ideals from disk
  33. Tue Nov 17 08:47:53 2020 memory use: 1837.5 MB
  34. Tue Nov 17 08:47:56 2020 commencing in-memory singleton removal
  35. Tue Nov 17 08:47:59 2020 begin with 109999985 relations and 82861373 unique ideals
  36. Tue Nov 17 08:48:33 2020 reduce to 79074895 relations and 49511257 ideals in 12 passes
  37. Tue Nov 17 08:48:33 2020 max relations containing the same ideal: 48
  38. Tue Nov 17 08:48:36 2020 reading ideals above 720000
  39. Tue Nov 17 08:48:36 2020 commencing singleton removal, initial pass
  40. Tue Nov 17 08:56:28 2020 memory use: 1506.0 MB
  41. Tue Nov 17 08:56:28 2020 reading all ideals from disk
  42. Tue Nov 17 08:56:34 2020 memory use: 2952.3 MB
  43. Tue Nov 17 08:56:41 2020 keeping 57990744 ideals with weight <= 200, target excess is 414062
  44. Tue Nov 17 08:56:47 2020 commencing in-memory singleton removal
  45. Tue Nov 17 08:56:53 2020 begin with 79074896 relations and 57990744 unique ideals
  46. Tue Nov 17 08:57:25 2020 reduce to 79074118 relations and 57989966 ideals in 6 passes
  47. Tue Nov 17 08:57:25 2020 max relations containing the same ideal: 200
  48. Tue Nov 17 08:57:51 2020 removing 7709778 relations and 5709778 ideals in 2000000 cliques
  49. Tue Nov 17 08:57:53 2020 commencing in-memory singleton removal
  50. Tue Nov 17 08:57:58 2020 begin with 71364340 relations and 57989966 unique ideals
  51. Tue Nov 17 08:58:32 2020 reduce to 70779371 relations and 51677457 ideals in 7 passes
  52. Tue Nov 17 08:58:32 2020 max relations containing the same ideal: 197
  53. Tue Nov 17 08:58:56 2020 removing 6192501 relations and 4192501 ideals in 2000000 cliques
  54. Tue Nov 17 08:58:58 2020 commencing in-memory singleton removal
  55. Tue Nov 17 08:59:02 2020 begin with 64586870 relations and 51677457 unique ideals
  56. Tue Nov 17 08:59:28 2020 reduce to 64181364 relations and 47068388 ideals in 6 passes
  57. Tue Nov 17 08:59:28 2020 max relations containing the same ideal: 184
  58. Tue Nov 17 08:59:49 2020 removing 5795853 relations and 3795853 ideals in 2000000 cliques
  59. Tue Nov 17 08:59:51 2020 commencing in-memory singleton removal
  60. Tue Nov 17 08:59:55 2020 begin with 58385511 relations and 47068388 unique ideals
  61. Tue Nov 17 09:00:21 2020 reduce to 58026382 relations and 42903200 ideals in 7 passes
  62. Tue Nov 17 09:00:21 2020 max relations containing the same ideal: 175
  63. Tue Nov 17 09:00:40 2020 removing 5591932 relations and 3591932 ideals in 2000000 cliques
  64. Tue Nov 17 09:00:42 2020 commencing in-memory singleton removal
  65. Tue Nov 17 09:00:45 2020 begin with 52434450 relations and 42903200 unique ideals
  66. Tue Nov 17 09:01:11 2020 reduce to 52088894 relations and 38955183 ideals in 8 passes
  67. Tue Nov 17 09:01:11 2020 max relations containing the same ideal: 164
  68. Tue Nov 17 09:01:28 2020 removing 5465231 relations and 3465231 ideals in 2000000 cliques
  69. Tue Nov 17 09:01:30 2020 commencing in-memory singleton removal
  70. Tue Nov 17 09:01:32 2020 begin with 46623663 relations and 38955183 unique ideals
  71. Tue Nov 17 09:01:50 2020 reduce to 46278948 relations and 35133754 ideals in 6 passes
  72. Tue Nov 17 09:01:50 2020 max relations containing the same ideal: 149
  73. Tue Nov 17 09:02:05 2020 removing 5380831 relations and 3380831 ideals in 2000000 cliques
  74. Tue Nov 17 09:02:06 2020 commencing in-memory singleton removal
  75. Tue Nov 17 09:02:09 2020 begin with 40898117 relations and 35133754 unique ideals
  76. Tue Nov 17 09:02:24 2020 reduce to 40540148 relations and 31381834 ideals in 6 passes
  77. Tue Nov 17 09:02:24 2020 max relations containing the same ideal: 140
  78. Tue Nov 17 09:02:37 2020 removing 5321451 relations and 3321451 ideals in 2000000 cliques
  79. Tue Nov 17 09:02:39 2020 commencing in-memory singleton removal
  80. Tue Nov 17 09:02:41 2020 begin with 35218697 relations and 31381834 unique ideals
  81. Tue Nov 17 09:02:54 2020 reduce to 34836639 relations and 27662977 ideals in 6 passes
  82. Tue Nov 17 09:02:54 2020 max relations containing the same ideal: 124
  83. Tue Nov 17 09:03:05 2020 removing 5279340 relations and 3279340 ideals in 2000000 cliques
  84. Tue Nov 17 09:03:06 2020 commencing in-memory singleton removal
  85. Tue Nov 17 09:03:08 2020 begin with 29557299 relations and 27662977 unique ideals
  86. Tue Nov 17 09:03:19 2020 reduce to 29134039 relations and 23940914 ideals in 6 passes
  87. Tue Nov 17 09:03:19 2020 max relations containing the same ideal: 113
  88. Tue Nov 17 09:03:28 2020 removing 5245403 relations and 3245403 ideals in 2000000 cliques
  89. Tue Nov 17 09:03:30 2020 commencing in-memory singleton removal
  90. Tue Nov 17 09:03:31 2020 begin with 23888636 relations and 23940914 unique ideals
  91. Tue Nov 17 09:03:42 2020 reduce to 23405685 relations and 20185833 ideals in 8 passes
  92. Tue Nov 17 09:03:42 2020 max relations containing the same ideal: 96
  93. Tue Nov 17 09:03:50 2020 removing 5217195 relations and 3217195 ideals in 2000000 cliques
  94. Tue Nov 17 09:03:51 2020 commencing in-memory singleton removal
  95. Tue Nov 17 09:03:52 2020 begin with 18188490 relations and 20185833 unique ideals
  96. Tue Nov 17 09:04:00 2020 reduce to 17591999 relations and 16331453 ideals in 8 passes
  97. Tue Nov 17 09:04:00 2020 max relations containing the same ideal: 76
  98. Tue Nov 17 09:04:06 2020 removing 2357924 relations and 1577690 ideals in 780234 cliques
  99. Tue Nov 17 09:04:07 2020 commencing in-memory singleton removal
  100. Tue Nov 17 09:04:08 2020 begin with 15234075 relations and 16331453 unique ideals
  101. Tue Nov 17 09:04:14 2020 reduce to 14996783 relations and 14506962 ideals in 7 passes
  102. Tue Nov 17 09:04:14 2020 max relations containing the same ideal: 70
  103. Tue Nov 17 09:04:19 2020 removing 55052 relations and 45543 ideals in 9509 cliques
  104. Tue Nov 17 09:04:19 2020 commencing in-memory singleton removal
  105. Tue Nov 17 09:04:20 2020 begin with 14941731 relations and 14506962 unique ideals
  106. Tue Nov 17 09:04:23 2020 reduce to 14941570 relations and 14461256 ideals in 4 passes
  107. Tue Nov 17 09:04:23 2020 max relations containing the same ideal: 70
  108. Tue Nov 17 09:04:25 2020 relations with 0 large ideals: 0
  109. Tue Nov 17 09:04:25 2020 relations with 1 large ideals: 5455
  110. Tue Nov 17 09:04:25 2020 relations with 2 large ideals: 86117
  111. Tue Nov 17 09:04:25 2020 relations with 3 large ideals: 542050
  112. Tue Nov 17 09:04:25 2020 relations with 4 large ideals: 1783032
  113. Tue Nov 17 09:04:25 2020 relations with 5 large ideals: 3435234
  114. Tue Nov 17 09:04:25 2020 relations with 6 large ideals: 4093691
  115. Tue Nov 17 09:04:25 2020 relations with 7+ large ideals: 4995991
  116. Tue Nov 17 09:04:25 2020 commencing 2-way merge
  117. Tue Nov 17 09:04:32 2020 reduce to 10322672 relation sets and 9842358 unique ideals
  118. Tue Nov 17 09:04:32 2020 commencing full merge
  119. Tue Nov 17 09:07:21 2020 memory use: 1281.7 MB
  120. Tue Nov 17 09:07:21 2020 found 4590717 cycles, need 4564558
  121. Tue Nov 17 09:07:23 2020 weight of 4564558 cycles is about 584785805 (128.11/cycle)
  122. Tue Nov 17 09:07:23 2020 distribution of cycle lengths:
  123. Tue Nov 17 09:07:23 2020 1 relations: 74293
  124. Tue Nov 17 09:07:23 2020 2 relations: 205059
  125. Tue Nov 17 09:07:23 2020 3 relations: 283409
  126. Tue Nov 17 09:07:23 2020 4 relations: 316616
  127. Tue Nov 17 09:07:23 2020 5 relations: 346407
  128. Tue Nov 17 09:07:23 2020 6 relations: 355607
  129. Tue Nov 17 09:07:23 2020 7 relations: 358922
  130. Tue Nov 17 09:07:23 2020 8 relations: 346302
  131. Tue Nov 17 09:07:23 2020 9 relations: 327017
  132. Tue Nov 17 09:07:23 2020 10+ relations: 1950926
  133. Tue Nov 17 09:07:23 2020 heaviest cycle: 28 relations
  134. Tue Nov 17 09:07:24 2020 commencing cycle optimization
  135. Tue Nov 17 09:07:31 2020 start with 42607021 relations
  136. Tue Nov 17 09:08:48 2020 pruned 2456250 relations
  137. Tue Nov 17 09:08:48 2020 memory use: 1061.4 MB
  138. Tue Nov 17 09:08:48 2020 distribution of cycle lengths:
  139. Tue Nov 17 09:08:48 2020 1 relations: 74293
  140. Tue Nov 17 09:08:48 2020 2 relations: 211674
  141. Tue Nov 17 09:08:48 2020 3 relations: 298032
  142. Tue Nov 17 09:08:48 2020 4 relations: 334345
  143. Tue Nov 17 09:08:48 2020 5 relations: 369954
  144. Tue Nov 17 09:08:48 2020 6 relations: 379966
  145. Tue Nov 17 09:08:48 2020 7 relations: 385151
  146. Tue Nov 17 09:08:48 2020 8 relations: 369929
  147. Tue Nov 17 09:08:48 2020 9 relations: 347561
  148. Tue Nov 17 09:08:48 2020 10+ relations: 1793653
  149. Tue Nov 17 09:08:48 2020 heaviest cycle: 28 relations
  150. Tue Nov 17 09:08:55 2020 RelProcTime: 2531
  151. Tue Nov 17 09:08:55 2020
  152. Tue Nov 17 09:08:55 2020 commencing linear algebra
  153. Tue Nov 17 09:08:56 2020 read 4564558 cycles
  154. Tue Nov 17 09:09:03 2020 cycles contain 14730932 unique relations
  155. Tue Nov 17 09:10:10 2020 read 14730932 relations
  156. Tue Nov 17 09:10:30 2020 using 20 quadratic characters above 4294917295
  157. Tue Nov 17 09:11:20 2020 building initial matrix
  158. Tue Nov 17 09:13:43 2020 memory use: 1826.2 MB
  159. Tue Nov 17 09:13:46 2020 read 4564558 cycles
  160. Tue Nov 17 09:13:46 2020 matrix is 4564381 x 4564558 (2227.2 MB) with weight 632833086 (138.64/col)
  161. Tue Nov 17 09:13:46 2020 sparse part has weight 533643847 (116.91/col)
  162. Tue Nov 17 09:14:32 2020 filtering completed in 2 passes
  163. Tue Nov 17 09:14:33 2020 matrix is 4564343 x 4564520 (2227.2 MB) with weight 632831538 (138.64/col)
  164. Tue Nov 17 09:14:33 2020 sparse part has weight 533643152 (116.91/col)
  165. Tue Nov 17 09:14:42 2020 matrix starts at (0, 0)
  166. Tue Nov 17 09:14:43 2020 matrix is 4564343 x 4564520 (2227.2 MB) with weight 632831538 (138.64/col)
  167. Tue Nov 17 09:14:43 2020 sparse part has weight 533643152 (116.91/col)
  168. Tue Nov 17 09:14:43 2020 saving the first 48 matrix rows for later
  169. Tue Nov 17 09:14:43 2020 matrix includes 64 packed rows
  170. Tue Nov 17 09:14:44 2020 matrix is 4564295 x 4564520 (2127.2 MB) with weight 547830017 (120.02/col)
  171. Tue Nov 17 09:14:44 2020 sparse part has weight 511975284 (112.16/col)
  172. Tue Nov 17 09:14:44 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  173. Tue Nov 17 09:15:00 2020 commencing Lanczos iteration (3 threads)
  174. Tue Nov 17 09:15:00 2020 memory use: 2000.2 MB
  175. Tue Nov 17 09:15:18 2020 linear algebra at 0.0%, ETA 15h 1m
  176. Tue Nov 17 09:15:24 2020 checkpointing every 310000 dimensions
  177. Tue Nov 17 23:06:29 2020 lanczos halted after 72179 iterations (dim = 4564291)
  178. Tue Nov 17 23:06:36 2020 recovered 37 nontrivial dependencies
  179. Tue Nov 17 23:06:36 2020 BLanczosTime: 50261
  180. Tue Nov 17 23:06:36 2020
  181. Tue Nov 17 23:06:36 2020 commencing square root phase
  182. Tue Nov 17 23:06:36 2020 handling dependencies 1 to 64
  183. Tue Nov 17 23:06:36 2020 reading relations for dependency 1
  184. Tue Nov 17 23:06:36 2020 read 2284619 cycles
  185. Tue Nov 17 23:06:39 2020 cycles contain 7367264 unique relations
  186. Tue Nov 17 23:07:19 2020 read 7367264 relations
  187. Tue Nov 17 23:07:41 2020 multiplying 7367264 relations
  188. Tue Nov 17 23:11:05 2020 multiply complete, coefficients have about 179.50 million bits
  189. Tue Nov 17 23:11:06 2020 initial square root is modulo 2766293
  190. Tue Nov 17 23:14:55 2020 GCD is 1, no factor found
  191. Tue Nov 17 23:14:55 2020 reading relations for dependency 2
  192. Tue Nov 17 23:14:56 2020 read 2282585 cycles
  193. Tue Nov 17 23:14:58 2020 cycles contain 7366914 unique relations
  194. Tue Nov 17 23:15:38 2020 read 7366914 relations
  195. Tue Nov 17 23:16:00 2020 multiplying 7366914 relations
  196. Tue Nov 17 23:19:24 2020 multiply complete, coefficients have about 179.50 million bits
  197. Tue Nov 17 23:19:25 2020 initial square root is modulo 2766193
  198. Tue Nov 17 23:23:13 2020 GCD is 1, no factor found
  199. Tue Nov 17 23:23:13 2020 reading relations for dependency 3
  200. Tue Nov 17 23:23:14 2020 read 2282205 cycles
  201. Tue Nov 17 23:23:17 2020 cycles contain 7363514 unique relations
  202. Tue Nov 17 23:23:57 2020 read 7363514 relations
  203. Tue Nov 17 23:24:19 2020 multiplying 7363514 relations
  204. Tue Nov 17 23:27:43 2020 multiply complete, coefficients have about 179.42 million bits
  205. Tue Nov 17 23:27:44 2020 initial square root is modulo 2747869
  206. Tue Nov 17 23:31:33 2020 sqrtTime: 1497
  207. Tue Nov 17 23:31:33 2020 p79 factor: 7489489737200344360071842443482201815893937619501074678091999123079615981944739
  208. Tue Nov 17 23:31:33 2020 p115 factor: 2114567056269941862275565940524345986648951188980507809318060294875662208564539897204047954190915340806543871292989
  209. Tue Nov 17 23:31:33 2020 elapsed time 15:04:51
  210.  
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