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Dec 5th, 2020
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  1. Mon Nov 30 05:50:29 2020
  2. Mon Nov 30 05:50:29 2020
  3. Mon Nov 30 05:50:29 2020 Msieve v. 1.54 (SVN 1025)
  4. Mon Nov 30 05:50:29 2020 random seeds: 42f35688 e3e0fe04
  5. Mon Nov 30 05:50:29 2020 factoring 19154840215330208503787115744593094531540002908539926854298646600649592315484715365499344342915572111612181784107602272399610890987759942058078070777366850467164293154732836191675565637168096234709535909916854863497821052789709584606400148747284118769999 (254 digits)
  6. Mon Nov 30 05:50:31 2020 searching for 15-digit factors
  7. Mon Nov 30 05:50:31 2020 commencing number field sieve (254-digit input)
  8. Mon Nov 30 05:50:31 2020 R0: 4155871746805483237658018945361617561661889
  9. Mon Nov 30 05:50:31 2020 R1: -1
  10. Mon Nov 30 05:50:31 2020 A0: -1
  11. Mon Nov 30 05:50:31 2020 A1: 0
  12. Mon Nov 30 05:50:31 2020 A2: 0
  13. Mon Nov 30 05:50:31 2020 A3: 0
  14. Mon Nov 30 05:50:31 2020 A4: 0
  15. Mon Nov 30 05:50:31 2020 A5: 0
  16. Mon Nov 30 05:50:31 2020 A6: 7489
  17. Mon Nov 30 05:50:31 2020 skew 0.23, size 8.309e-13, alpha -0.800, combined = 1.014e-13 rroots = 2
  18. Mon Nov 30 05:50:31 2020
  19. Mon Nov 30 05:50:31 2020 commencing relation filtering
  20. Mon Nov 30 05:50:31 2020 setting target matrix density to 132.0
  21. Mon Nov 30 05:50:31 2020 estimated available RAM is 16007.4 MB
  22. Mon Nov 30 05:50:31 2020 commencing duplicate removal, pass 1
  23. Mon Nov 30 05:52:10 2020 error -15 reading relation 10937324
  24. Mon Nov 30 05:53:20 2020 error -15 reading relation 18831195
  25. Mon Nov 30 05:55:41 2020 error -15 reading relation 34306500
  26. Mon Nov 30 06:01:35 2020 error -11 reading relation 73152916
  27. Mon Nov 30 06:09:45 2020 error -15 reading relation 126985340
  28. Mon Nov 30 06:19:36 2020 error -15 reading relation 191753527
  29. Mon Nov 30 06:20:11 2020 skipped 5512 relations with b > 2^32
  30. Mon Nov 30 06:20:11 2020 skipped 6 relations with composite factors
  31. Mon Nov 30 06:20:11 2020 found 8386076 hash collisions in 195567209 relations
  32. Mon Nov 30 06:20:31 2020 added 1218627 free relations
  33. Mon Nov 30 06:20:31 2020 commencing duplicate removal, pass 2
  34. Mon Nov 30 06:22:39 2020 found 3 duplicates and 196785833 unique relations
  35. Mon Nov 30 06:22:39 2020 memory use: 522.4 MB
  36. Mon Nov 30 06:22:39 2020 reading ideals above 163905536
  37. Mon Nov 30 06:22:39 2020 commencing singleton removal, initial pass
  38. Mon Nov 30 06:44:39 2020 memory use: 3012.0 MB
  39. Mon Nov 30 06:44:39 2020 reading all ideals from disk
  40. Mon Nov 30 06:44:48 2020 memory use: 3351.7 MB
  41. Mon Nov 30 06:44:55 2020 commencing in-memory singleton removal
  42. Mon Nov 30 06:45:03 2020 begin with 196785833 relations and 160075697 unique ideals
  43. Mon Nov 30 06:46:56 2020 reduce to 131363796 relations and 88348324 ideals in 15 passes
  44. Mon Nov 30 06:46:56 2020 max relations containing the same ideal: 45
  45. Mon Nov 30 06:47:03 2020 reading ideals above 720000
  46. Mon Nov 30 06:47:03 2020 commencing singleton removal, initial pass
  47. Mon Nov 30 07:06:35 2020 memory use: 2756.0 MB
  48. Mon Nov 30 07:06:35 2020 reading all ideals from disk
  49. Mon Nov 30 07:06:49 2020 memory use: 5360.5 MB
  50. Mon Nov 30 07:07:07 2020 keeping 105992922 ideals with weight <= 200, target excess is 716062
  51. Mon Nov 30 07:07:26 2020 commencing in-memory singleton removal
  52. Mon Nov 30 07:07:40 2020 begin with 131363796 relations and 105992922 unique ideals
  53. Mon Nov 30 07:09:24 2020 reduce to 131358230 relations and 105987356 ideals in 7 passes
  54. Mon Nov 30 07:09:24 2020 max relations containing the same ideal: 200
  55. Mon Nov 30 07:10:30 2020 removing 10745606 relations and 8745606 ideals in 2000000 cliques
  56. Mon Nov 30 07:10:34 2020 commencing in-memory singleton removal
  57. Mon Nov 30 07:10:46 2020 begin with 120612624 relations and 105987356 unique ideals
  58. Mon Nov 30 07:12:34 2020 reduce to 119978097 relations and 96595254 ideals in 8 passes
  59. Mon Nov 30 07:12:34 2020 max relations containing the same ideal: 196
  60. Mon Nov 30 07:13:38 2020 removing 8194648 relations and 6194648 ideals in 2000000 cliques
  61. Mon Nov 30 07:13:41 2020 commencing in-memory singleton removal
  62. Mon Nov 30 07:13:51 2020 begin with 111783449 relations and 96595254 unique ideals
  63. Mon Nov 30 07:15:21 2020 reduce to 111356613 relations and 89966754 ideals in 8 passes
  64. Mon Nov 30 07:15:21 2020 max relations containing the same ideal: 189
  65. Mon Nov 30 07:16:14 2020 removing 7431427 relations and 5431427 ideals in 2000000 cliques
  66. Mon Nov 30 07:16:18 2020 commencing in-memory singleton removal
  67. Mon Nov 30 07:16:28 2020 begin with 103925186 relations and 89966754 unique ideals
  68. Mon Nov 30 07:17:50 2020 reduce to 103547760 relations and 84151533 ideals in 8 passes
  69. Mon Nov 30 07:17:50 2020 max relations containing the same ideal: 180
  70. Mon Nov 30 07:18:39 2020 removing 7049012 relations and 5049012 ideals in 2000000 cliques
  71. Mon Nov 30 07:18:42 2020 commencing in-memory singleton removal
  72. Mon Nov 30 07:18:51 2020 begin with 96498748 relations and 84151533 unique ideals
  73. Mon Nov 30 07:20:00 2020 reduce to 96141763 relations and 78739343 ideals in 7 passes
  74. Mon Nov 30 07:20:00 2020 max relations containing the same ideal: 171
  75. Mon Nov 30 07:20:47 2020 removing 6810069 relations and 4810069 ideals in 2000000 cliques
  76. Mon Nov 30 07:20:50 2020 commencing in-memory singleton removal
  77. Mon Nov 30 07:20:59 2020 begin with 89331694 relations and 78739343 unique ideals
  78. Mon Nov 30 07:22:10 2020 reduce to 88982127 relations and 73573362 ideals in 8 passes
  79. Mon Nov 30 07:22:10 2020 max relations containing the same ideal: 165
  80. Mon Nov 30 07:22:56 2020 removing 6651123 relations and 4651123 ideals in 2000000 cliques
  81. Mon Nov 30 07:22:59 2020 commencing in-memory singleton removal
  82. Mon Nov 30 07:23:06 2020 begin with 82331004 relations and 73573362 unique ideals
  83. Mon Nov 30 07:24:05 2020 reduce to 81976636 relations and 68561100 ideals in 7 passes
  84. Mon Nov 30 07:24:05 2020 max relations containing the same ideal: 157
  85. Mon Nov 30 07:24:44 2020 removing 6541786 relations and 4541786 ideals in 2000000 cliques
  86. Mon Nov 30 07:24:47 2020 commencing in-memory singleton removal
  87. Mon Nov 30 07:24:53 2020 begin with 75434850 relations and 68561100 unique ideals
  88. Mon Nov 30 07:25:44 2020 reduce to 75073924 relations and 63650817 ideals in 7 passes
  89. Mon Nov 30 07:25:44 2020 max relations containing the same ideal: 147
  90. Mon Nov 30 07:26:22 2020 removing 6471589 relations and 4471589 ideals in 2000000 cliques
  91. Mon Nov 30 07:26:25 2020 commencing in-memory singleton removal
  92. Mon Nov 30 07:26:31 2020 begin with 68602335 relations and 63650817 unique ideals
  93. Mon Nov 30 07:27:17 2020 reduce to 68225371 relations and 58793894 ideals in 7 passes
  94. Mon Nov 30 07:27:17 2020 max relations containing the same ideal: 139
  95. Mon Nov 30 07:27:53 2020 removing 6420651 relations and 4420651 ideals in 2000000 cliques
  96. Mon Nov 30 07:27:56 2020 commencing in-memory singleton removal
  97. Mon Nov 30 07:28:02 2020 begin with 61804720 relations and 58793894 unique ideals
  98. Mon Nov 30 07:28:42 2020 reduce to 61404129 relations and 53962903 ideals in 7 passes
  99. Mon Nov 30 07:28:42 2020 max relations containing the same ideal: 129
  100. Mon Nov 30 07:29:14 2020 removing 6391916 relations and 4391916 ideals in 2000000 cliques
  101. Mon Nov 30 07:29:16 2020 commencing in-memory singleton removal
  102. Mon Nov 30 07:29:21 2020 begin with 55012213 relations and 53962903 unique ideals
  103. Mon Nov 30 07:29:58 2020 reduce to 54577033 relations and 49124009 ideals in 7 passes
  104. Mon Nov 30 07:29:58 2020 max relations containing the same ideal: 119
  105. Mon Nov 30 07:30:26 2020 removing 6381851 relations and 4381851 ideals in 2000000 cliques
  106. Mon Nov 30 07:30:28 2020 commencing in-memory singleton removal
  107. Mon Nov 30 07:30:33 2020 begin with 48195182 relations and 49124009 unique ideals
  108. Mon Nov 30 07:31:09 2020 reduce to 47709093 relations and 44241212 ideals in 8 passes
  109. Mon Nov 30 07:31:09 2020 max relations containing the same ideal: 108
  110. Mon Nov 30 07:31:32 2020 removing 6398465 relations and 4398465 ideals in 2000000 cliques
  111. Mon Nov 30 07:31:35 2020 commencing in-memory singleton removal
  112. Mon Nov 30 07:31:38 2020 begin with 41310628 relations and 44241212 unique ideals
  113. Mon Nov 30 07:32:09 2020 reduce to 40743752 relations and 39256356 ideals in 8 passes
  114. Mon Nov 30 07:32:09 2020 max relations containing the same ideal: 96
  115. Mon Nov 30 07:32:30 2020 removing 2618578 relations and 1961814 ideals in 656764 cliques
  116. Mon Nov 30 07:32:32 2020 commencing in-memory singleton removal
  117. Mon Nov 30 07:32:36 2020 begin with 38125174 relations and 39256356 unique ideals
  118. Mon Nov 30 07:33:00 2020 reduce to 38012669 relations and 37180504 ideals in 7 passes
  119. Mon Nov 30 07:33:00 2020 max relations containing the same ideal: 91
  120. Mon Nov 30 07:33:27 2020 relations with 0 large ideals: 27437
  121. Mon Nov 30 07:33:27 2020 relations with 1 large ideals: 7025
  122. Mon Nov 30 07:33:27 2020 relations with 2 large ideals: 97808
  123. Mon Nov 30 07:33:27 2020 relations with 3 large ideals: 706573
  124. Mon Nov 30 07:33:27 2020 relations with 4 large ideals: 2761255
  125. Mon Nov 30 07:33:27 2020 relations with 5 large ideals: 6486423
  126. Mon Nov 30 07:33:27 2020 relations with 6 large ideals: 9628169
  127. Mon Nov 30 07:33:27 2020 relations with 7+ large ideals: 18297979
  128. Mon Nov 30 07:33:27 2020 commencing 2-way merge
  129. Mon Nov 30 07:33:53 2020 reduce to 25428712 relation sets and 24596547 unique ideals
  130. Mon Nov 30 07:33:53 2020 commencing full merge
  131. Mon Nov 30 07:47:07 2020 memory use: 3394.1 MB
  132. Mon Nov 30 07:47:10 2020 found 11254520 cycles, need 11248747
  133. Mon Nov 30 07:47:15 2020 weight of 11248747 cycles is about 1485779810 (132.08/cycle)
  134. Mon Nov 30 07:47:15 2020 distribution of cycle lengths:
  135. Mon Nov 30 07:47:15 2020 1 relations: 377017
  136. Mon Nov 30 07:47:15 2020 2 relations: 551528
  137. Mon Nov 30 07:47:15 2020 3 relations: 685831
  138. Mon Nov 30 07:47:15 2020 4 relations: 735512
  139. Mon Nov 30 07:47:15 2020 5 relations: 781772
  140. Mon Nov 30 07:47:15 2020 6 relations: 791438
  141. Mon Nov 30 07:47:15 2020 7 relations: 789982
  142. Mon Nov 30 07:47:15 2020 8 relations: 772004
  143. Mon Nov 30 07:47:15 2020 9 relations: 740477
  144. Mon Nov 30 07:47:15 2020 10+ relations: 5023186
  145. Mon Nov 30 07:47:15 2020 heaviest cycle: 28 relations
  146. Mon Nov 30 07:47:18 2020 commencing cycle optimization
  147. Mon Nov 30 07:47:45 2020 start with 107497815 relations
  148. Mon Nov 30 07:53:03 2020 pruned 5657058 relations
  149. Mon Nov 30 07:53:03 2020 memory use: 2687.8 MB
  150. Mon Nov 30 07:53:03 2020 distribution of cycle lengths:
  151. Mon Nov 30 07:53:03 2020 1 relations: 377017
  152. Mon Nov 30 07:53:03 2020 2 relations: 565884
  153. Mon Nov 30 07:53:03 2020 3 relations: 716323
  154. Mon Nov 30 07:53:03 2020 4 relations: 769447
  155. Mon Nov 30 07:53:03 2020 5 relations: 825537
  156. Mon Nov 30 07:53:03 2020 6 relations: 836700
  157. Mon Nov 30 07:53:03 2020 7 relations: 839680
  158. Mon Nov 30 07:53:03 2020 8 relations: 818825
  159. Mon Nov 30 07:53:03 2020 9 relations: 785052
  160. Mon Nov 30 07:53:03 2020 10+ relations: 4714282
  161. Mon Nov 30 07:53:03 2020 heaviest cycle: 28 relations
  162. Mon Nov 30 07:53:25 2020 RelProcTime: 7374
  163. Mon Nov 30 07:53:25 2020
  164. Mon Nov 30 07:53:25 2020 commencing linear algebra
  165. Mon Nov 30 07:53:30 2020 read 11248747 cycles
  166. Mon Nov 30 07:53:55 2020 cycles contain 37611069 unique relations
  167. Mon Nov 30 07:58:04 2020 read 37611069 relations
  168. Mon Nov 30 07:59:31 2020 using 20 quadratic characters above 4294917295
  169. Mon Nov 30 08:02:33 2020 building initial matrix
  170. Mon Nov 30 08:10:33 2020 memory use: 4988.7 MB
  171. Mon Nov 30 08:10:39 2020 read 11248747 cycles
  172. Mon Nov 30 08:10:40 2020 matrix is 11248570 x 11248747 (5709.1 MB) with weight 1647604462 (146.47/col)
  173. Mon Nov 30 08:10:40 2020 sparse part has weight 1372870626 (122.05/col)
  174. Mon Nov 30 08:13:05 2020 filtering completed in 2 passes
  175. Mon Nov 30 08:13:07 2020 matrix is 11248538 x 11248715 (5709.1 MB) with weight 1647603470 (146.47/col)
  176. Mon Nov 30 08:13:07 2020 sparse part has weight 1372870422 (122.05/col)
  177. Mon Nov 30 08:13:45 2020 matrix starts at (0, 0)
  178. Mon Nov 30 08:13:46 2020 matrix is 11248538 x 11248715 (5709.1 MB) with weight 1647603470 (146.47/col)
  179. Mon Nov 30 08:13:46 2020 sparse part has weight 1372870422 (122.05/col)
  180. Mon Nov 30 08:13:46 2020 saving the first 48 matrix rows for later
  181. Mon Nov 30 08:13:48 2020 matrix includes 64 packed rows
  182. Mon Nov 30 08:13:50 2020 matrix is 11248490 x 11248715 (5487.1 MB) with weight 1419966465 (126.23/col)
  183. Mon Nov 30 08:13:50 2020 sparse part has weight 1325925401 (117.87/col)
  184. Mon Nov 30 08:13:50 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  185. Mon Nov 30 08:14:23 2020 commencing Lanczos iteration (4 threads)
  186. Mon Nov 30 08:14:23 2020 memory use: 5244.2 MB
  187. Mon Nov 30 08:15:21 2020 linear algebra at 0.0%, ETA 115h 6m
  188. Mon Nov 30 08:15:40 2020 checkpointing every 100000 dimensions
  189. Sat Dec 5 04:05:57 2020 lanczos halted after 177886 iterations (dim = 11248487)
  190. Sat Dec 5 04:06:08 2020 recovered 31 nontrivial dependencies
  191. Sat Dec 5 04:06:08 2020 BLanczosTime: 418363
  192. Sat Dec 5 04:06:08 2020
  193. Sat Dec 5 04:06:08 2020 commencing square root phase
  194. Sat Dec 5 04:06:08 2020 handling dependencies 1 to 64
  195. Sat Dec 5 04:06:08 2020 reading relations for dependency 1
  196. Sat Dec 5 04:06:09 2020 read 5622973 cycles
  197. Sat Dec 5 04:06:19 2020 cycles contain 18801336 unique relations
  198. Sat Dec 5 04:08:02 2020 read 18801336 relations
  199. Sat Dec 5 04:09:23 2020 multiplying 18801336 relations
  200. Sat Dec 5 04:26:50 2020 multiply complete, coefficients have about 709.25 million bits
  201. Sat Dec 5 04:26:52 2020 initial square root is modulo 2306971
  202. Sat Dec 5 04:45:47 2020 GCD is N, no factor found
  203. Sat Dec 5 04:45:47 2020 reading relations for dependency 2
  204. Sat Dec 5 04:45:48 2020 read 5624164 cycles
  205. Sat Dec 5 04:45:58 2020 cycles contain 18805078 unique relations
  206. Sat Dec 5 04:47:41 2020 read 18805078 relations
  207. Sat Dec 5 04:49:00 2020 multiplying 18805078 relations
  208. Sat Dec 5 05:06:29 2020 multiply complete, coefficients have about 709.39 million bits
  209. Sat Dec 5 05:06:32 2020 initial square root is modulo 2313907
  210. Sat Dec 5 05:25:25 2020 found factor: 241341236157602610557087646951296808965712672811671488582492816449219279
  211. Sat Dec 5 05:25:25 2020 reading relations for dependency 3
  212. Sat Dec 5 05:25:26 2020 read 5625840 cycles
  213. Sat Dec 5 05:25:36 2020 cycles contain 18806006 unique relations
  214. Sat Dec 5 05:27:19 2020 read 18806006 relations
  215. Sat Dec 5 05:28:38 2020 multiplying 18806006 relations
  216. Sat Dec 5 05:46:07 2020 multiply complete, coefficients have about 709.43 million bits
  217. Sat Dec 5 05:46:09 2020 initial square root is modulo 2315539
  218. Sat Dec 5 06:05:04 2020 sqrtTime: 7136
  219. Sat Dec 5 06:05:04 2020 p72 factor: 241341236157602610557087646951296808965712672811671488582492816449219279
  220. Sat Dec 5 06:05:04 2020 p84 factor: 405041001356030637142861043731609821160576034944488724998252505784742351466382214649
  221. Sat Dec 5 06:05:04 2020 p99 factor: 195951238442820566979109304749332861958110082830448112557458537111681933597631760026304179594996169
  222. Sat Dec 5 06:05:04 2020 elapsed time 120:14:35
  223.  
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