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Feb 14th, 2021
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  1. Fri Feb 12 18:04:10 2021
  2. Fri Feb 12 18:04:10 2021
  3. Fri Feb 12 18:04:10 2021 Msieve v. 1.52 (SVN exported)
  4. Fri Feb 12 18:04:10 2021 random seeds: 78efb9be 889f48f9
  5. Fri Feb 12 18:04:10 2021 factoring 106218330355829815820846863287703999332693285044519967765221626880165346725261814996422695314773046794045025902277148791133069121948776948915182256052797 (153 digits)
  6. Fri Feb 12 18:04:12 2021 searching for 15-digit factors
  7. Fri Feb 12 18:04:14 2021 commencing number field sieve (153-digit input)
  8. Fri Feb 12 18:04:14 2021 R0: -541567732455221621914946828714
  9. Fri Feb 12 18:04:14 2021 R1: 7151094700849477
  10. Fri Feb 12 18:04:14 2021 A0: -10775408851229199610931255707983841654665
  11. Fri Feb 12 18:04:14 2021 A1: 4079452770411922498487630185819839
  12. Fri Feb 12 18:04:14 2021 A2: -119385719783648205430319717
  13. Fri Feb 12 18:04:14 2021 A3: -6928789580819101295
  14. Fri Feb 12 18:04:14 2021 A4: 286787358646
  15. Fri Feb 12 18:04:14 2021 A5: 2280
  16. Fri Feb 12 18:04:14 2021 skew 31701231.47, size 9.641e-15, alpha -9.130, combined = 4.274e-12 rroots = 3
  17. Fri Feb 12 18:04:14 2021
  18. Fri Feb 12 18:04:14 2021 commencing relation filtering
  19. Fri Feb 12 18:04:14 2021 setting target matrix density to 130.0
  20. Fri Feb 12 18:04:14 2021 estimated available RAM is 7821.9 MB
  21. Fri Feb 12 18:04:14 2021 commencing duplicate removal, pass 1
  22. Fri Feb 12 18:05:10 2021 error -9 reading relation 4354934
  23. Fri Feb 12 18:05:11 2021 error -9 reading relation 4393705
  24. Fri Feb 12 18:05:11 2021 error -15 reading relation 4433400
  25. Fri Feb 12 18:05:11 2021 error -15 reading relation 4474099
  26. Fri Feb 12 18:05:14 2021 error -1 reading relation 4702919
  27. Fri Feb 12 18:05:15 2021 error -9 reading relation 4740558
  28. Fri Feb 12 18:05:15 2021 error -15 reading relation 4779827
  29. Fri Feb 12 18:08:27 2021 error -15 reading relation 19930876
  30. Fri Feb 12 18:08:27 2021 error -15 reading relation 19943635
  31. Fri Feb 12 18:16:49 2021 found 10465018 hash collisions in 60575098 relations
  32. Fri Feb 12 18:17:39 2021 added 121310 free relations
  33. Fri Feb 12 18:17:39 2021 commencing duplicate removal, pass 2
  34. Fri Feb 12 18:19:38 2021 found 9442638 duplicates and 51253770 unique relations
  35. Fri Feb 12 18:19:38 2021 memory use: 330.4 MB
  36. Fri Feb 12 18:19:38 2021 reading ideals above 39911424
  37. Fri Feb 12 18:19:38 2021 commencing singleton removal, initial pass
  38. Fri Feb 12 18:30:40 2021 memory use: 1378.0 MB
  39. Fri Feb 12 18:30:40 2021 reading all ideals from disk
  40. Fri Feb 12 18:30:42 2021 memory use: 860.0 MB
  41. Fri Feb 12 18:30:47 2021 commencing in-memory singleton removal
  42. Fri Feb 12 18:30:50 2021 begin with 51253770 relations and 42129543 unique ideals
  43. Fri Feb 12 18:31:37 2021 reduce to 33227994 relations and 22272461 ideals in 14 passes
  44. Fri Feb 12 18:31:37 2021 max relations containing the same ideal: 45
  45. Fri Feb 12 18:31:41 2021 reading ideals above 720000
  46. Fri Feb 12 18:31:41 2021 commencing singleton removal, initial pass
  47. Fri Feb 12 18:42:24 2021 memory use: 753.0 MB
  48. Fri Feb 12 18:42:24 2021 reading all ideals from disk
  49. Fri Feb 12 18:42:27 2021 memory use: 1171.8 MB
  50. Fri Feb 12 18:42:33 2021 keeping 26951047 ideals with weight <= 200, target excess is 177023
  51. Fri Feb 12 18:42:39 2021 commencing in-memory singleton removal
  52. Fri Feb 12 18:42:44 2021 begin with 33227996 relations and 26951047 unique ideals
  53. Fri Feb 12 18:43:43 2021 reduce to 33218684 relations and 26941728 ideals in 9 passes
  54. Fri Feb 12 18:43:43 2021 max relations containing the same ideal: 200
  55. Fri Feb 12 18:44:14 2021 removing 4501543 relations and 3501543 ideals in 1000000 cliques
  56. Fri Feb 12 18:44:17 2021 commencing in-memory singleton removal
  57. Fri Feb 12 18:44:22 2021 begin with 28717141 relations and 26941728 unique ideals
  58. Fri Feb 12 18:45:09 2021 reduce to 28248706 relations and 22954651 ideals in 8 passes
  59. Fri Feb 12 18:45:09 2021 max relations containing the same ideal: 188
  60. Fri Feb 12 18:45:35 2021 removing 3539443 relations and 2539443 ideals in 1000000 cliques
  61. Fri Feb 12 18:45:37 2021 commencing in-memory singleton removal
  62. Fri Feb 12 18:45:41 2021 begin with 24709263 relations and 22954651 unique ideals
  63. Fri Feb 12 18:46:25 2021 reduce to 24372300 relations and 20066689 ideals in 9 passes
  64. Fri Feb 12 18:46:25 2021 max relations containing the same ideal: 178
  65. Fri Feb 12 18:46:47 2021 removing 3283187 relations and 2283187 ideals in 1000000 cliques
  66. Fri Feb 12 18:46:49 2021 commencing in-memory singleton removal
  67. Fri Feb 12 18:46:52 2021 begin with 21089113 relations and 20066689 unique ideals
  68. Fri Feb 12 18:47:27 2021 reduce to 20770576 relations and 17453122 ideals in 9 passes
  69. Fri Feb 12 18:47:27 2021 max relations containing the same ideal: 157
  70. Fri Feb 12 18:47:46 2021 removing 3162080 relations and 2162080 ideals in 1000000 cliques
  71. Fri Feb 12 18:47:48 2021 commencing in-memory singleton removal
  72. Fri Feb 12 18:47:50 2021 begin with 17608496 relations and 17453122 unique ideals
  73. Fri Feb 12 18:48:14 2021 reduce to 17279549 relations and 14948235 ideals in 7 passes
  74. Fri Feb 12 18:48:14 2021 max relations containing the same ideal: 140
  75. Fri Feb 12 18:48:30 2021 removing 3097394 relations and 2097394 ideals in 1000000 cliques
  76. Fri Feb 12 18:48:32 2021 commencing in-memory singleton removal
  77. Fri Feb 12 18:48:34 2021 begin with 14182155 relations and 14948235 unique ideals
  78. Fri Feb 12 18:48:52 2021 reduce to 13816771 relations and 12467359 ideals in 7 passes
  79. Fri Feb 12 18:48:52 2021 max relations containing the same ideal: 116
  80. Fri Feb 12 18:49:05 2021 removing 3059644 relations and 2059644 ideals in 1000000 cliques
  81. Fri Feb 12 18:49:07 2021 commencing in-memory singleton removal
  82. Fri Feb 12 18:49:08 2021 begin with 10757127 relations and 12467359 unique ideals
  83. Fri Feb 12 18:49:27 2021 reduce to 10321190 relations and 9944328 ideals in 10 passes
  84. Fri Feb 12 18:49:27 2021 max relations containing the same ideal: 95
  85. Fri Feb 12 18:49:36 2021 removing 761690 relations and 590175 ideals in 171515 cliques
  86. Fri Feb 12 18:49:36 2021 commencing in-memory singleton removal
  87. Fri Feb 12 18:49:38 2021 begin with 9559500 relations and 9944328 unique ideals
  88. Fri Feb 12 18:49:47 2021 reduce to 9523578 relations and 9317696 ideals in 6 passes
  89. Fri Feb 12 18:49:47 2021 max relations containing the same ideal: 92
  90. Fri Feb 12 18:49:57 2021 relations with 0 large ideals: 561
  91. Fri Feb 12 18:49:57 2021 relations with 1 large ideals: 1231
  92. Fri Feb 12 18:49:57 2021 relations with 2 large ideals: 19036
  93. Fri Feb 12 18:49:57 2021 relations with 3 large ideals: 153302
  94. Fri Feb 12 18:49:57 2021 relations with 4 large ideals: 656229
  95. Fri Feb 12 18:49:57 2021 relations with 5 large ideals: 1643888
  96. Fri Feb 12 18:49:57 2021 relations with 6 large ideals: 2550000
  97. Fri Feb 12 18:49:57 2021 relations with 7+ large ideals: 4499331
  98. Fri Feb 12 18:49:57 2021 commencing 2-way merge
  99. Fri Feb 12 18:50:09 2021 reduce to 6211478 relation sets and 6005596 unique ideals
  100. Fri Feb 12 18:50:09 2021 commencing full merge
  101. Fri Feb 12 18:56:11 2021 memory use: 820.7 MB
  102. Fri Feb 12 18:56:12 2021 found 2762844 cycles, need 2761796
  103. Fri Feb 12 18:56:14 2021 weight of 2761796 cycles is about 359194887 (130.06/cycle)
  104. Fri Feb 12 18:56:14 2021 distribution of cycle lengths:
  105. Fri Feb 12 18:56:14 2021 1 relations: 63555
  106. Fri Feb 12 18:56:14 2021 2 relations: 137510
  107. Fri Feb 12 18:56:14 2021 3 relations: 176750
  108. Fri Feb 12 18:56:14 2021 4 relations: 187742
  109. Fri Feb 12 18:56:14 2021 5 relations: 196619
  110. Fri Feb 12 18:56:14 2021 6 relations: 199523
  111. Fri Feb 12 18:56:14 2021 7 relations: 197918
  112. Fri Feb 12 18:56:14 2021 8 relations: 192091
  113. Fri Feb 12 18:56:14 2021 9 relations: 183004
  114. Fri Feb 12 18:56:14 2021 10+ relations: 1227084
  115. Fri Feb 12 18:56:14 2021 heaviest cycle: 28 relations
  116. Fri Feb 12 18:56:16 2021 commencing cycle optimization
  117. Fri Feb 12 18:56:28 2021 start with 26440003 relations
  118. Fri Feb 12 18:58:51 2021 pruned 1387236 relations
  119. Fri Feb 12 18:58:51 2021 memory use: 668.7 MB
  120. Fri Feb 12 18:58:51 2021 distribution of cycle lengths:
  121. Fri Feb 12 18:58:51 2021 1 relations: 63555
  122. Fri Feb 12 18:58:51 2021 2 relations: 141643
  123. Fri Feb 12 18:58:51 2021 3 relations: 185164
  124. Fri Feb 12 18:58:51 2021 4 relations: 196664
  125. Fri Feb 12 18:58:51 2021 5 relations: 207868
  126. Fri Feb 12 18:58:51 2021 6 relations: 210926
  127. Fri Feb 12 18:58:51 2021 7 relations: 210039
  128. Fri Feb 12 18:58:51 2021 8 relations: 203544
  129. Fri Feb 12 18:58:51 2021 9 relations: 193187
  130. Fri Feb 12 18:58:51 2021 10+ relations: 1149206
  131. Fri Feb 12 18:58:51 2021 heaviest cycle: 28 relations
  132. Fri Feb 12 18:59:02 2021 RelProcTime: 3288
  133. Fri Feb 12 18:59:02 2021 elapsed time 00:54:52
  134. Sat Feb 13 01:04:34 2021
  135. Sat Feb 13 01:04:34 2021
  136. Sat Feb 13 01:04:34 2021 Msieve v. 1.52 (SVN exported)
  137. Sat Feb 13 01:04:34 2021 random seeds: 79f3ec3b c32a0a35
  138. Sat Feb 13 01:04:34 2021 factoring 106218330355829815820846863287703999332693285044519967765221626880165346725261814996422695314773046794045025902277148791133069121948776948915182256052797 (153 digits)
  139. Sat Feb 13 01:04:35 2021 searching for 15-digit factors
  140. Sat Feb 13 01:04:36 2021 commencing number field sieve (153-digit input)
  141. Sat Feb 13 01:04:36 2021 R0: -541567732455221621914946828714
  142. Sat Feb 13 01:04:36 2021 R1: 7151094700849477
  143. Sat Feb 13 01:04:36 2021 A0: -10775408851229199610931255707983841654665
  144. Sat Feb 13 01:04:36 2021 A1: 4079452770411922498487630185819839
  145. Sat Feb 13 01:04:36 2021 A2: -119385719783648205430319717
  146. Sat Feb 13 01:04:36 2021 A3: -6928789580819101295
  147. Sat Feb 13 01:04:36 2021 A4: 286787358646
  148. Sat Feb 13 01:04:36 2021 A5: 2280
  149. Sat Feb 13 01:04:36 2021 skew 31701231.47, size 9.641e-15, alpha -9.130, combined = 4.274e-12 rroots = 3
  150. Sat Feb 13 01:04:36 2021
  151. Sat Feb 13 01:04:36 2021 commencing linear algebra
  152. Sat Feb 13 01:04:37 2021 read 2761796 cycles
  153. Sat Feb 13 01:04:47 2021 cycles contain 9413682 unique relations
  154. Sat Feb 13 01:07:18 2021 read 9413682 relations
  155. Sat Feb 13 01:07:48 2021 using 20 quadratic characters above 536870514
  156. Sat Feb 13 01:08:55 2021 building initial matrix
  157. Sat Feb 13 01:13:57 2021 memory use: 1322.5 MB
  158. Sat Feb 13 01:14:02 2021 read 2761796 cycles
  159. Sat Feb 13 01:14:03 2021 matrix is 2761617 x 2761796 (1381.4 MB) with weight 425800689 (154.18/col)
  160. Sat Feb 13 01:14:03 2021 sparse part has weight 328992362 (119.12/col)
  161. Sat Feb 13 01:15:08 2021 filtering completed in 2 passes
  162. Sat Feb 13 01:15:09 2021 matrix is 2761613 x 2761792 (1381.4 MB) with weight 425800499 (154.18/col)
  163. Sat Feb 13 01:15:09 2021 sparse part has weight 328992318 (119.12/col)
  164. Sat Feb 13 01:15:23 2021 matrix starts at (0, 0)
  165. Sat Feb 13 01:15:24 2021 matrix is 2761613 x 2761792 (1381.4 MB) with weight 425800499 (154.18/col)
  166. Sat Feb 13 01:15:24 2021 sparse part has weight 328992318 (119.12/col)
  167. Sat Feb 13 01:15:24 2021 saving the first 48 matrix rows for later
  168. Sat Feb 13 01:15:24 2021 matrix includes 64 packed rows
  169. Sat Feb 13 01:15:25 2021 matrix is 2761565 x 2761792 (1350.3 MB) with weight 367341243 (133.01/col)
  170. Sat Feb 13 01:15:25 2021 sparse part has weight 326365940 (118.17/col)
  171. Sat Feb 13 01:15:25 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  172. Sat Feb 13 01:15:44 2021 commencing Lanczos iteration (8 threads)
  173. Sat Feb 13 01:15:44 2021 memory use: 1103.6 MB
  174. Sat Feb 13 01:15:55 2021 linear algebra at 0.1%, ETA 5h33m
  175. Sat Feb 13 01:15:58 2021 checkpointing every 520000 dimensions
  176. Sat Feb 13 06:02:57 2021 lanczos halted after 43672 iterations (dim = 2761564)
  177. Sat Feb 13 06:03:00 2021 recovered 29 nontrivial dependencies
  178. Sat Feb 13 06:03:00 2021 BLanczosTime: 17904
  179. Sat Feb 13 06:03:00 2021
  180. Sat Feb 13 06:03:00 2021 commencing square root phase
  181. Sat Feb 13 06:03:00 2021 reading relations for dependency 1
  182. Sat Feb 13 06:03:01 2021 read 1381012 cycles
  183. Sat Feb 13 06:03:05 2021 cycles contain 4704414 unique relations
  184. Sat Feb 13 06:04:50 2021 read 4704414 relations
  185. Sat Feb 13 06:05:23 2021 multiplying 4704414 relations
  186. Sat Feb 13 06:10:22 2021 multiply complete, coefficients have about 230.31 million bits
  187. Sat Feb 13 06:10:24 2021 initial square root is modulo 184218703
  188. Sat Feb 13 06:16:38 2021 GCD is N, no factor found
  189. Sat Feb 13 06:16:38 2021 reading relations for dependency 2
  190. Sat Feb 13 06:16:38 2021 read 1380181 cycles
  191. Sat Feb 13 06:16:42 2021 cycles contain 4705746 unique relations
  192. Sat Feb 13 06:18:27 2021 read 4705746 relations
  193. Sat Feb 13 06:18:59 2021 multiplying 4705746 relations
  194. Sat Feb 13 06:23:57 2021 multiply complete, coefficients have about 230.38 million bits
  195. Sat Feb 13 06:23:59 2021 initial square root is modulo 185196901
  196. Sat Feb 13 06:30:11 2021 GCD is N, no factor found
  197. Sat Feb 13 06:30:11 2021 reading relations for dependency 3
  198. Sat Feb 13 06:30:12 2021 read 1380531 cycles
  199. Sat Feb 13 06:30:16 2021 cycles contain 4705416 unique relations
  200. Sat Feb 13 06:32:01 2021 read 4705416 relations
  201. Sat Feb 13 06:32:33 2021 multiplying 4705416 relations
  202. Sat Feb 13 06:37:33 2021 multiply complete, coefficients have about 230.36 million bits
  203. Sat Feb 13 06:37:35 2021 initial square root is modulo 184901737
  204. Sat Feb 13 06:43:46 2021 GCD is 1, no factor found
  205. Sat Feb 13 06:43:46 2021 reading relations for dependency 4
  206. Sat Feb 13 06:43:47 2021 read 1380988 cycles
  207. Sat Feb 13 06:43:51 2021 cycles contain 4707740 unique relations
  208. Sat Feb 13 06:45:36 2021 read 4707740 relations
  209. Sat Feb 13 06:46:09 2021 multiplying 4707740 relations
  210. Sat Feb 13 06:51:13 2021 multiply complete, coefficients have about 230.48 million bits
  211. Sat Feb 13 06:51:14 2021 initial square root is modulo 186704641
  212. Sat Feb 13 06:57:24 2021 sqrtTime: 3264
  213. Sat Feb 13 06:57:24 2021 prp68 factor: 31001855076157756585510146430432773750064569860775638094562058083883
  214. Sat Feb 13 06:57:24 2021 prp85 factor: 3426192726044898415777831357790598534374175996204044439303984694524908822929092123959
  215. Sat Feb 13 06:57:24 2021 elapsed time 05:52:50
  216.  
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