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May 18th, 2020
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  1. Mon May 18 08:31:04 2020
  2. Mon May 18 08:31:04 2020
  3. Mon May 18 08:31:04 2020 Msieve v. 1.53 (SVN 988M)
  4. Mon May 18 08:31:04 2020 random seeds: 440b1afc 0c6e3d1f
  5. Mon May 18 08:31:04 2020 factoring 22606501669591227840943135028173628940096727302814294996211167530874779011517834887812357107481713725889896128040453603681359712763643353905118786635672724652611900232633051366762039863167245206451760818036942393409726517853 (224 digits)
  6. Mon May 18 08:31:05 2020 searching for 15-digit factors
  7. Mon May 18 08:31:06 2020 commencing number field sieve (224-digit input)
  8. Mon May 18 08:31:06 2020 R0: 16815336404846531796811626650083845362
  9. Mon May 18 08:31:06 2020 R1: -4100650729438747481
  10. Mon May 18 08:31:06 2020 A0: -1
  11. Mon May 18 08:31:06 2020 A1: 3
  12. Mon May 18 08:31:06 2020 A2: 6
  13. Mon May 18 08:31:06 2020 A3: -4
  14. Mon May 18 08:31:06 2020 A4: -5
  15. Mon May 18 08:31:06 2020 A5: 1
  16. Mon May 18 08:31:06 2020 A6: 1
  17. Mon May 18 08:31:06 2020 skew 1.00, size 5.210e-11, alpha 3.126, combined = 2.063e-12 rroots = 6
  18. Mon May 18 08:31:06 2020
  19. Mon May 18 08:31:06 2020 commencing relation filtering
  20. Mon May 18 08:31:06 2020 setting target matrix density to 120.0
  21. Mon May 18 08:31:06 2020 estimated available RAM is 32768.0 MB
  22. Mon May 18 08:31:06 2020 commencing duplicate removal, pass 1
  23. Mon May 18 08:38:29 2020 error -15 reading relation 74265446
  24. Mon May 18 08:38:29 2020 error -15 reading relation 74265577
  25. Mon May 18 08:38:29 2020 error -15 reading relation 74266150
  26. Mon May 18 08:38:29 2020 error -15 reading relation 74266623
  27. Mon May 18 08:38:29 2020 error -15 reading relation 74267289
  28. Mon May 18 08:38:29 2020 error -15 reading relation 74267391
  29. Mon May 18 08:38:29 2020 error -11 reading relation 74268021
  30. Mon May 18 08:38:29 2020 error -15 reading relation 74268155
  31. Mon May 18 08:38:29 2020 error -15 reading relation 74268579
  32. Mon May 18 08:38:29 2020 error -15 reading relation 74268875
  33. Mon May 18 08:38:29 2020 error -15 reading relation 74269329
  34. Mon May 18 08:38:29 2020 error -15 reading relation 74270129
  35. Mon May 18 08:38:29 2020 error -11 reading relation 74271560
  36. Mon May 18 08:38:29 2020 error -6 reading relation 74271934
  37. Mon May 18 08:38:29 2020 error -11 reading relation 74272069
  38. Mon May 18 08:38:29 2020 error -11 reading relation 74272165
  39. Mon May 18 08:38:29 2020 error -11 reading relation 74272200
  40. Mon May 18 08:38:29 2020 error -11 reading relation 74272297
  41. Mon May 18 08:38:29 2020 error -11 reading relation 74272690
  42. Mon May 18 08:41:56 2020 skipped 9 relations with b > 2^32
  43. Mon May 18 08:41:56 2020 skipped 13 relations with composite factors
  44. Mon May 18 08:41:56 2020 found 5351468 hash collisions in 110873599 relations
  45. Mon May 18 08:42:01 2020 added 2438358 free relations
  46. Mon May 18 08:42:02 2020 commencing duplicate removal, pass 2
  47. Mon May 18 08:42:26 2020 found 0 duplicates and 113311957 unique relations
  48. Mon May 18 08:42:26 2020 memory use: 378.4 MB
  49. Mon May 18 08:42:26 2020 reading ideals above 720000
  50. Mon May 18 08:42:26 2020 commencing singleton removal, initial pass
  51. Mon May 18 08:52:51 2020 memory use: 2756.0 MB
  52. Mon May 18 08:52:51 2020 reading all ideals from disk
  53. Mon May 18 08:54:32 2020 memory use: 4220.6 MB
  54. Mon May 18 08:54:41 2020 keeping 92805242 ideals with weight <= 200, target excess is 573970
  55. Mon May 18 08:54:50 2020 commencing in-memory singleton removal
  56. Mon May 18 08:54:56 2020 begin with 113311957 relations and 92805242 unique ideals
  57. Mon May 18 08:56:10 2020 reduce to 82630438 relations and 59573894 ideals in 12 passes
  58. Mon May 18 08:56:10 2020 max relations containing the same ideal: 170
  59. Mon May 18 08:56:37 2020 removing 7623848 relations and 5623848 ideals in 2000000 cliques
  60. Mon May 18 08:56:40 2020 commencing in-memory singleton removal
  61. Mon May 18 08:56:44 2020 begin with 75006590 relations and 59573894 unique ideals
  62. Mon May 18 08:57:15 2020 reduce to 74415388 relations and 53341228 ideals in 6 passes
  63. Mon May 18 08:57:15 2020 max relations containing the same ideal: 160
  64. Mon May 18 08:57:39 2020 removing 6216213 relations and 4216213 ideals in 2000000 cliques
  65. Mon May 18 08:57:41 2020 commencing in-memory singleton removal
  66. Mon May 18 08:57:45 2020 begin with 68199175 relations and 53341228 unique ideals
  67. Mon May 18 08:58:18 2020 reduce to 67792109 relations and 48706906 ideals in 7 passes
  68. Mon May 18 08:58:18 2020 max relations containing the same ideal: 151
  69. Mon May 18 08:58:40 2020 removing 5793352 relations and 3793352 ideals in 2000000 cliques
  70. Mon May 18 08:58:42 2020 commencing in-memory singleton removal
  71. Mon May 18 08:58:45 2020 begin with 61998757 relations and 48706906 unique ideals
  72. Mon May 18 08:59:11 2020 reduce to 61641512 relations and 44546327 ideals in 6 passes
  73. Mon May 18 08:59:11 2020 max relations containing the same ideal: 142
  74. Mon May 18 08:59:31 2020 removing 5575062 relations and 3575062 ideals in 2000000 cliques
  75. Mon May 18 08:59:33 2020 commencing in-memory singleton removal
  76. Mon May 18 08:59:36 2020 begin with 56066450 relations and 44546327 unique ideals
  77. Mon May 18 08:59:58 2020 reduce to 55726274 relations and 40620895 ideals in 6 passes
  78. Mon May 18 08:59:58 2020 max relations containing the same ideal: 132
  79. Mon May 18 09:00:17 2020 removing 5434779 relations and 3434779 ideals in 2000000 cliques
  80. Mon May 18 09:00:19 2020 commencing in-memory singleton removal
  81. Mon May 18 09:00:22 2020 begin with 50291495 relations and 40620895 unique ideals
  82. Mon May 18 09:00:41 2020 reduce to 49954517 relations and 36838373 ideals in 6 passes
  83. Mon May 18 09:00:41 2020 max relations containing the same ideal: 123
  84. Mon May 18 09:00:58 2020 removing 5344287 relations and 3344287 ideals in 2000000 cliques
  85. Mon May 18 09:01:00 2020 commencing in-memory singleton removal
  86. Mon May 18 09:01:02 2020 begin with 44610230 relations and 36838373 unique ideals
  87. Mon May 18 09:01:20 2020 reduce to 44263441 relations and 33135213 ideals in 6 passes
  88. Mon May 18 09:01:20 2020 max relations containing the same ideal: 115
  89. Mon May 18 09:01:34 2020 removing 5282482 relations and 3282482 ideals in 2000000 cliques
  90. Mon May 18 09:01:36 2020 commencing in-memory singleton removal
  91. Mon May 18 09:01:38 2020 begin with 38980959 relations and 33135213 unique ideals
  92. Mon May 18 09:01:53 2020 reduce to 38614080 relations and 29471703 ideals in 6 passes
  93. Mon May 18 09:01:53 2020 max relations containing the same ideal: 103
  94. Mon May 18 09:02:06 2020 removing 5241972 relations and 3241972 ideals in 2000000 cliques
  95. Mon May 18 09:02:07 2020 commencing in-memory singleton removal
  96. Mon May 18 09:02:09 2020 begin with 33372108 relations and 29471703 unique ideals
  97. Mon May 18 09:02:22 2020 reduce to 32973393 relations and 25813616 ideals in 6 passes
  98. Mon May 18 09:02:22 2020 max relations containing the same ideal: 93
  99. Mon May 18 09:02:33 2020 removing 5208641 relations and 3208641 ideals in 2000000 cliques
  100. Mon May 18 09:02:34 2020 commencing in-memory singleton removal
  101. Mon May 18 09:02:36 2020 begin with 27764752 relations and 25813616 unique ideals
  102. Mon May 18 09:02:48 2020 reduce to 27321021 relations and 22139024 ideals in 7 passes
  103. Mon May 18 09:02:48 2020 max relations containing the same ideal: 80
  104. Mon May 18 09:02:57 2020 removing 5178819 relations and 3178819 ideals in 2000000 cliques
  105. Mon May 18 09:02:58 2020 commencing in-memory singleton removal
  106. Mon May 18 09:02:59 2020 begin with 22142202 relations and 22139024 unique ideals
  107. Mon May 18 09:03:09 2020 reduce to 21635119 relations and 18422865 ideals in 7 passes
  108. Mon May 18 09:03:09 2020 max relations containing the same ideal: 70
  109. Mon May 18 09:03:16 2020 removing 5135766 relations and 3135766 ideals in 2000000 cliques
  110. Mon May 18 09:03:17 2020 commencing in-memory singleton removal
  111. Mon May 18 09:03:18 2020 begin with 16499353 relations and 18422865 unique ideals
  112. Mon May 18 09:03:25 2020 reduce to 15883954 relations and 14624981 ideals in 7 passes
  113. Mon May 18 09:03:25 2020 max relations containing the same ideal: 59
  114. Mon May 18 09:03:30 2020 removing 1821831 relations and 1228664 ideals in 593167 cliques
  115. Mon May 18 09:03:31 2020 commencing in-memory singleton removal
  116. Mon May 18 09:03:32 2020 begin with 14062123 relations and 14624981 unique ideals
  117. Mon May 18 09:03:37 2020 reduce to 13871744 relations and 13198766 ideals in 7 passes
  118. Mon May 18 09:03:37 2020 max relations containing the same ideal: 51
  119. Mon May 18 09:03:43 2020 relations with 0 large ideals: 42106
  120. Mon May 18 09:03:43 2020 relations with 1 large ideals: 19646
  121. Mon May 18 09:03:43 2020 relations with 2 large ideals: 174388
  122. Mon May 18 09:03:43 2020 relations with 3 large ideals: 883005
  123. Mon May 18 09:03:43 2020 relations with 4 large ideals: 2345005
  124. Mon May 18 09:03:43 2020 relations with 5 large ideals: 3612737
  125. Mon May 18 09:03:43 2020 relations with 6 large ideals: 3414621
  126. Mon May 18 09:03:43 2020 relations with 7+ large ideals: 3380236
  127. Mon May 18 09:03:43 2020 commencing 2-way merge
  128. Mon May 18 09:03:50 2020 reduce to 9720808 relation sets and 9047830 unique ideals
  129. Mon May 18 09:03:50 2020 commencing full merge
  130. Mon May 18 09:07:05 2020 memory use: 1210.5 MB
  131. Mon May 18 09:07:07 2020 found 4360176 cycles, need 4324030
  132. Mon May 18 09:07:07 2020 weight of 4324030 cycles is about 518938786 (120.01/cycle)
  133. Mon May 18 09:07:07 2020 distribution of cycle lengths:
  134. Mon May 18 09:07:07 2020 1 relations: 119811
  135. Mon May 18 09:07:07 2020 2 relations: 197270
  136. Mon May 18 09:07:07 2020 3 relations: 265329
  137. Mon May 18 09:07:07 2020 4 relations: 296172
  138. Mon May 18 09:07:07 2020 5 relations: 319446
  139. Mon May 18 09:07:07 2020 6 relations: 326502
  140. Mon May 18 09:07:07 2020 7 relations: 325396
  141. Mon May 18 09:07:07 2020 8 relations: 313961
  142. Mon May 18 09:07:07 2020 9 relations: 295986
  143. Mon May 18 09:07:07 2020 10+ relations: 1864157
  144. Mon May 18 09:07:07 2020 heaviest cycle: 28 relations
  145. Mon May 18 09:07:09 2020 commencing cycle optimization
  146. Mon May 18 09:07:18 2020 start with 40552319 relations
  147. Mon May 18 09:08:58 2020 pruned 2315504 relations
  148. Mon May 18 09:08:58 2020 memory use: 991.2 MB
  149. Mon May 18 09:08:58 2020 distribution of cycle lengths:
  150. Mon May 18 09:08:58 2020 1 relations: 119811
  151. Mon May 18 09:08:58 2020 2 relations: 202651
  152. Mon May 18 09:08:58 2020 3 relations: 277705
  153. Mon May 18 09:08:58 2020 4 relations: 311259
  154. Mon May 18 09:08:58 2020 5 relations: 340030
  155. Mon May 18 09:08:58 2020 6 relations: 347927
  156. Mon May 18 09:08:58 2020 7 relations: 348679
  157. Mon May 18 09:08:58 2020 8 relations: 335592
  158. Mon May 18 09:08:58 2020 9 relations: 315651
  159. Mon May 18 09:08:58 2020 10+ relations: 1724725
  160. Mon May 18 09:08:58 2020 heaviest cycle: 28 relations
  161. Mon May 18 09:09:11 2020 RelProcTime: 2285
  162. Mon May 18 09:09:11 2020
  163. Mon May 18 09:09:11 2020 commencing linear algebra
  164. Mon May 18 09:09:11 2020 read 4324030 cycles
  165. Mon May 18 09:09:20 2020 cycles contain 13548106 unique relations
  166. Mon May 18 09:13:41 2020 read 13548106 relations
  167. Mon May 18 09:14:03 2020 using 20 quadratic characters above 4294917295
  168. Mon May 18 09:14:50 2020 building initial matrix
  169. Mon May 18 09:16:57 2020 memory use: 1658.8 MB
  170. Mon May 18 09:17:48 2020 read 4324030 cycles
  171. Mon May 18 09:17:48 2020 matrix is 4323853 x 4324030 (1988.4 MB) with weight 563352263 (130.28/col)
  172. Mon May 18 09:17:48 2020 sparse part has weight 478014484 (110.55/col)
  173. Mon May 18 09:18:28 2020 filtering completed in 2 passes
  174. Mon May 18 09:18:28 2020 matrix is 4323737 x 4323914 (1988.4 MB) with weight 563347262 (130.29/col)
  175. Mon May 18 09:18:28 2020 sparse part has weight 478011775 (110.55/col)
  176. Mon May 18 09:19:25 2020 matrix starts at (0, 0)
  177. Mon May 18 09:19:26 2020 matrix is 4323737 x 4323914 (1988.4 MB) with weight 563347262 (130.29/col)
  178. Mon May 18 09:19:26 2020 sparse part has weight 478011775 (110.55/col)
  179. Mon May 18 09:19:26 2020 saving the first 48 matrix rows for later
  180. Mon May 18 09:19:26 2020 matrix includes 64 packed rows
  181. Mon May 18 09:19:27 2020 matrix is 4323689 x 4323914 (1906.9 MB) with weight 486938828 (112.62/col)
  182. Mon May 18 09:19:27 2020 sparse part has weight 456647483 (105.61/col)
  183. Mon May 18 09:19:27 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  184. Mon May 18 09:19:46 2020 commencing Lanczos iteration (16 threads)
  185. Mon May 18 09:19:46 2020 memory use: 1608.6 MB
  186. Mon May 18 09:19:50 2020 linear algebra at 0.0%, ETA 2h22m
  187. Mon May 18 09:19:52 2020 checkpointing every 1460000 dimensions
  188. Mon May 18 12:22:16 2020 lanczos halted after 68372 iterations (dim = 4323689)
  189. Mon May 18 12:22:19 2020 recovered 35 nontrivial dependencies
  190. Mon May 18 12:22:20 2020 BLanczosTime: 11589
  191. Mon May 18 12:22:20 2020
  192. Mon May 18 12:22:20 2020 commencing square root phase
  193. Mon May 18 12:22:20 2020 handling dependencies 1 to 64
  194. Mon May 18 12:22:20 2020 reading relations for dependency 1
  195. Mon May 18 12:22:24 2020 read 2160551 cycles
  196. Mon May 18 12:22:28 2020 cycles contain 6772396 unique relations
  197. Mon May 18 12:26:51 2020 read 6772396 relations
  198. Mon May 18 12:27:15 2020 multiplying 6772396 relations
  199. Mon May 18 12:30:09 2020 multiply complete, coefficients have about 164.46 million bits
  200. Mon May 18 12:30:10 2020 initial square root is modulo 798263
  201. Mon May 18 12:33:07 2020 found factor: 53168466884633887139908617201020599361566892936172535435844011
  202. Mon May 18 12:33:07 2020 reading relations for dependency 2
  203. Mon May 18 12:33:12 2020 read 2160274 cycles
  204. Mon May 18 12:33:16 2020 cycles contain 6776220 unique relations
  205. Mon May 18 12:37:39 2020 read 6776220 relations
  206. Mon May 18 12:38:04 2020 multiplying 6776220 relations
  207. Mon May 18 12:41:03 2020 multiply complete, coefficients have about 164.56 million bits
  208. Mon May 18 12:41:03 2020 initial square root is modulo 804589
  209. Mon May 18 12:44:11 2020 sqrtTime: 1311
  210. Mon May 18 12:44:11 2020 p54 factor: 109349123557854282237337398516318522287884321797155873
  211. Mon May 18 12:44:11 2020 p62 factor: 53168466884633887139908617201020599361566892936172535435844011
  212. Mon May 18 12:44:11 2020 p109 factor: 3888337169646877284108644398127158027572411428050396294237997911222073447148429590556018441322062853988413751
  213. Mon May 18 12:44:11 2020 elapsed time 04:13:07
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