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Jun 17th, 2021
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  1. Mon Jun 14 07:20:01 2021
  2. Mon Jun 14 07:20:01 2021
  3. Mon Jun 14 07:20:01 2021 Msieve v. 1.54 (SVN 1040M)
  4. Mon Jun 14 07:20:01 2021 random seeds: d8342b90 12908d53
  5. Mon Jun 14 07:20:01 2021 factoring 1734147512979270320827767012217086906506556317798760101066642797284407332516993027773365157763102197607514963117947733088678302843725492651987691057475083298632139047698473602163355874115229 (190 digits)
  6. Mon Jun 14 07:20:02 2021 searching for 15-digit factors
  7. Mon Jun 14 07:20:02 2021 commencing number field sieve (190-digit input)
  8. Mon Jun 14 07:20:02 2021 R0: -2598343318530561190088419286201562362
  9. Mon Jun 14 07:20:02 2021 R1: 328301570246391373
  10. Mon Jun 14 07:20:02 2021 A0: -82717367334817895153685976600674902106038703
  11. Mon Jun 14 07:20:02 2021 A1: 24230002666061859616959799270512489908
  12. Mon Jun 14 07:20:02 2021 A2: 2098794365094139007789717181182
  13. Mon Jun 14 07:20:02 2021 A3: -69148370343514243109752
  14. Mon Jun 14 07:20:02 2021 A4: -1784626917919455
  15. Mon Jun 14 07:20:02 2021 A5: 14642100
  16. Mon Jun 14 07:20:02 2021 skew 34619080.46, size 1.462e-18, alpha -6.843, combined = 2.201e-14 rroots = 5
  17. Mon Jun 14 07:20:02 2021
  18. Mon Jun 14 07:20:02 2021 commencing relation filtering
  19. Mon Jun 14 07:20:02 2021 setting target matrix density to 130.0
  20. Mon Jun 14 07:20:02 2021 estimated available RAM is 32768.0 MB
  21. Mon Jun 14 07:20:02 2021 commencing duplicate removal, pass 1
  22. Mon Jun 14 07:40:24 2021 error -15 reading relation 189759775
  23. Mon Jun 14 07:40:43 2021 error -15 reading relation 192704261
  24. Mon Jun 14 07:41:03 2021 error -15 reading relation 195809928
  25. Mon Jun 14 07:41:37 2021 skipped 2 relations with composite factors
  26. Mon Jun 14 07:41:37 2021 found 8848719 hash collisions in 201028991 relations
  27. Mon Jun 14 07:41:58 2021 added 121458 free relations
  28. Mon Jun 14 07:41:58 2021 commencing duplicate removal, pass 2
  29. Mon Jun 14 07:42:44 2021 found 7 duplicates and 201150442 unique relations
  30. Mon Jun 14 07:42:44 2021 memory use: 522.4 MB
  31. Mon Jun 14 07:42:44 2021 reading ideals above 201129984
  32. Mon Jun 14 07:42:44 2021 commencing singleton removal, initial pass
  33. Mon Jun 14 07:57:48 2021 memory use: 3012.0 MB
  34. Mon Jun 14 07:57:48 2021 reading all ideals from disk
  35. Mon Jun 14 07:59:14 2021 memory use: 3619.0 MB
  36. Mon Jun 14 07:59:21 2021 commencing in-memory singleton removal
  37. Mon Jun 14 07:59:28 2021 begin with 201150442 relations and 161605573 unique ideals
  38. Mon Jun 14 08:00:34 2021 reduce to 144585557 relations and 100419684 ideals in 13 passes
  39. Mon Jun 14 08:00:35 2021 max relations containing the same ideal: 47
  40. Mon Jun 14 08:00:52 2021 reading ideals above 720000
  41. Mon Jun 14 08:00:52 2021 commencing singleton removal, initial pass
  42. Mon Jun 14 08:15:33 2021 memory use: 3012.0 MB
  43. Mon Jun 14 08:15:34 2021 reading all ideals from disk
  44. Mon Jun 14 08:18:02 2021 memory use: 6225.5 MB
  45. Mon Jun 14 08:18:15 2021 keeping 121879412 ideals with weight <= 200, target excess is 807073
  46. Mon Jun 14 08:18:29 2021 commencing in-memory singleton removal
  47. Mon Jun 14 08:18:40 2021 begin with 144585557 relations and 121879412 unique ideals
  48. Mon Jun 14 08:19:59 2021 reduce to 144540108 relations and 121833956 ideals in 8 passes
  49. Mon Jun 14 08:19:59 2021 max relations containing the same ideal: 200
  50. Mon Jun 14 08:20:56 2021 removing 10431819 relations and 8431819 ideals in 2000000 cliques
  51. Mon Jun 14 08:21:01 2021 commencing in-memory singleton removal
  52. Mon Jun 14 08:21:12 2021 begin with 134108289 relations and 121833956 unique ideals
  53. Mon Jun 14 08:22:25 2021 reduce to 133513512 relations and 112796968 ideals in 8 passes
  54. Mon Jun 14 08:22:25 2021 max relations containing the same ideal: 198
  55. Mon Jun 14 08:23:18 2021 removing 8106714 relations and 6106714 ideals in 2000000 cliques
  56. Mon Jun 14 08:23:23 2021 commencing in-memory singleton removal
  57. Mon Jun 14 08:23:32 2021 begin with 125406798 relations and 112796968 unique ideals
  58. Mon Jun 14 08:24:33 2021 reduce to 124998504 relations and 106275740 ideals in 7 passes
  59. Mon Jun 14 08:24:33 2021 max relations containing the same ideal: 191
  60. Mon Jun 14 08:25:23 2021 removing 7422998 relations and 5422998 ideals in 2000000 cliques
  61. Mon Jun 14 08:25:27 2021 commencing in-memory singleton removal
  62. Mon Jun 14 08:25:36 2021 begin with 117575506 relations and 106275740 unique ideals
  63. Mon Jun 14 08:26:32 2021 reduce to 117207968 relations and 100479578 ideals in 7 passes
  64. Mon Jun 14 08:26:32 2021 max relations containing the same ideal: 184
  65. Mon Jun 14 08:27:28 2021 removing 7092536 relations and 5092536 ideals in 2000000 cliques
  66. Mon Jun 14 08:27:32 2021 commencing in-memory singleton removal
  67. Mon Jun 14 08:27:41 2021 begin with 110115432 relations and 100479578 unique ideals
  68. Mon Jun 14 08:28:34 2021 reduce to 109760135 relations and 95026343 ideals in 7 passes
  69. Mon Jun 14 08:28:34 2021 max relations containing the same ideal: 177
  70. Mon Jun 14 08:29:19 2021 removing 6910056 relations and 4910056 ideals in 2000000 cliques
  71. Mon Jun 14 08:29:23 2021 commencing in-memory singleton removal
  72. Mon Jun 14 08:29:30 2021 begin with 102850079 relations and 95026343 unique ideals
  73. Mon Jun 14 08:30:19 2021 reduce to 102492520 relations and 89753073 ideals in 7 passes
  74. Mon Jun 14 08:30:19 2021 max relations containing the same ideal: 172
  75. Mon Jun 14 08:31:03 2021 removing 6812275 relations and 4812275 ideals in 2000000 cliques
  76. Mon Jun 14 08:31:06 2021 commencing in-memory singleton removal
  77. Mon Jun 14 08:31:13 2021 begin with 95680245 relations and 89753073 unique ideals
  78. Mon Jun 14 08:31:59 2021 reduce to 95313271 relations and 84567537 ideals in 7 passes
  79. Mon Jun 14 08:31:59 2021 max relations containing the same ideal: 166
  80. Mon Jun 14 08:32:40 2021 removing 6767569 relations and 4767569 ideals in 2000000 cliques
  81. Mon Jun 14 08:32:43 2021 commencing in-memory singleton removal
  82. Mon Jun 14 08:32:50 2021 begin with 88545702 relations and 84567537 unique ideals
  83. Mon Jun 14 08:33:31 2021 reduce to 88161069 relations and 79408302 ideals in 7 passes
  84. Mon Jun 14 08:33:31 2021 max relations containing the same ideal: 153
  85. Mon Jun 14 08:34:08 2021 removing 6762338 relations and 4762338 ideals in 2000000 cliques
  86. Mon Jun 14 08:34:11 2021 commencing in-memory singleton removal
  87. Mon Jun 14 08:34:17 2021 begin with 81398731 relations and 79408302 unique ideals
  88. Mon Jun 14 08:34:55 2021 reduce to 80985848 relations and 74224993 ideals in 7 passes
  89. Mon Jun 14 08:34:55 2021 max relations containing the same ideal: 146
  90. Mon Jun 14 08:35:30 2021 removing 6794405 relations and 4794405 ideals in 2000000 cliques
  91. Mon Jun 14 08:35:33 2021 commencing in-memory singleton removal
  92. Mon Jun 14 08:35:38 2021 begin with 74191443 relations and 74224993 unique ideals
  93. Mon Jun 14 08:36:12 2021 reduce to 73735204 relations and 68965025 ideals in 7 passes
  94. Mon Jun 14 08:36:12 2021 max relations containing the same ideal: 138
  95. Mon Jun 14 08:36:44 2021 removing 6866890 relations and 4866890 ideals in 2000000 cliques
  96. Mon Jun 14 08:36:47 2021 commencing in-memory singleton removal
  97. Mon Jun 14 08:36:51 2021 begin with 66868314 relations and 68965025 unique ideals
  98. Mon Jun 14 08:37:22 2021 reduce to 66358929 relations and 63576977 ideals in 7 passes
  99. Mon Jun 14 08:37:22 2021 max relations containing the same ideal: 127
  100. Mon Jun 14 08:37:51 2021 removing 6536994 relations and 4691247 ideals in 1845747 cliques
  101. Mon Jun 14 08:37:54 2021 commencing in-memory singleton removal
  102. Mon Jun 14 08:37:58 2021 begin with 59821935 relations and 63576977 unique ideals
  103. Mon Jun 14 08:38:29 2021 reduce to 59308651 relations and 58360409 ideals in 8 passes
  104. Mon Jun 14 08:38:29 2021 max relations containing the same ideal: 118
  105. Mon Jun 14 08:38:55 2021 removing 93145 relations and 81108 ideals in 12037 cliques
  106. Mon Jun 14 08:38:57 2021 commencing in-memory singleton removal
  107. Mon Jun 14 08:39:01 2021 begin with 59215506 relations and 58360409 unique ideals
  108. Mon Jun 14 08:39:20 2021 reduce to 59215407 relations and 58279202 ideals in 5 passes
  109. Mon Jun 14 08:39:20 2021 max relations containing the same ideal: 118
  110. Mon Jun 14 08:39:29 2021 relations with 0 large ideals: 2857
  111. Mon Jun 14 08:39:29 2021 relations with 1 large ideals: 3587
  112. Mon Jun 14 08:39:29 2021 relations with 2 large ideals: 57573
  113. Mon Jun 14 08:39:29 2021 relations with 3 large ideals: 496174
  114. Mon Jun 14 08:39:29 2021 relations with 4 large ideals: 2363393
  115. Mon Jun 14 08:39:29 2021 relations with 5 large ideals: 6893101
  116. Mon Jun 14 08:39:29 2021 relations with 6 large ideals: 12961904
  117. Mon Jun 14 08:39:29 2021 relations with 7+ large ideals: 36436818
  118. Mon Jun 14 08:39:29 2021 commencing 2-way merge
  119. Mon Jun 14 08:40:07 2021 reduce to 39843755 relation sets and 38907550 unique ideals
  120. Mon Jun 14 08:40:07 2021 commencing full merge
  121. Mon Jun 14 08:54:48 2021 memory use: 5083.6 MB
  122. Mon Jun 14 08:54:58 2021 found 17621416 cycles, need 17609750
  123. Mon Jun 14 08:54:59 2021 weight of 17609750 cycles is about 2289835103 (130.03/cycle)
  124. Mon Jun 14 08:54:59 2021 distribution of cycle lengths:
  125. Mon Jun 14 08:54:59 2021 1 relations: 908183
  126. Mon Jun 14 08:54:59 2021 2 relations: 1153533
  127. Mon Jun 14 08:54:59 2021 3 relations: 1288362
  128. Mon Jun 14 08:54:59 2021 4 relations: 1296870
  129. Mon Jun 14 08:54:59 2021 5 relations: 1307965
  130. Mon Jun 14 08:54:59 2021 6 relations: 1281567
  131. Mon Jun 14 08:54:59 2021 7 relations: 1256467
  132. Mon Jun 14 08:54:59 2021 8 relations: 1186498
  133. Mon Jun 14 08:54:59 2021 9 relations: 1114452
  134. Mon Jun 14 08:54:59 2021 10+ relations: 6815853
  135. Mon Jun 14 08:54:59 2021 heaviest cycle: 28 relations
  136. Mon Jun 14 08:55:06 2021 commencing cycle optimization
  137. Mon Jun 14 08:55:46 2021 start with 153260144 relations
  138. Mon Jun 14 09:02:08 2021 pruned 7865342 relations
  139. Mon Jun 14 09:02:08 2021 memory use: 4024.1 MB
  140. Mon Jun 14 09:02:08 2021 distribution of cycle lengths:
  141. Mon Jun 14 09:02:08 2021 1 relations: 908183
  142. Mon Jun 14 09:02:08 2021 2 relations: 1188232
  143. Mon Jun 14 09:02:08 2021 3 relations: 1351512
  144. Mon Jun 14 09:02:08 2021 4 relations: 1358927
  145. Mon Jun 14 09:02:08 2021 5 relations: 1381603
  146. Mon Jun 14 09:02:08 2021 6 relations: 1351605
  147. Mon Jun 14 09:02:08 2021 7 relations: 1327802
  148. Mon Jun 14 09:02:08 2021 8 relations: 1247211
  149. Mon Jun 14 09:02:08 2021 9 relations: 1166531
  150. Mon Jun 14 09:02:08 2021 10+ relations: 6328144
  151. Mon Jun 14 09:02:08 2021 heaviest cycle: 28 relations
  152. Mon Jun 14 09:03:04 2021 RelProcTime: 6182
  153. Mon Jun 14 09:03:04 2021
  154. Mon Jun 14 09:03:04 2021 commencing linear algebra
  155. Mon Jun 14 09:03:07 2021 read 17609750 cycles
  156. Mon Jun 14 09:03:44 2021 cycles contain 58698069 unique relations
  157. Mon Jun 14 09:11:30 2021 read 58698069 relations
  158. Mon Jun 14 09:13:57 2021 using 20 quadratic characters above 4294917295
  159. Mon Jun 14 09:17:31 2021 building initial matrix
  160. Mon Jun 14 09:28:40 2021 memory use: 8328.7 MB
  161. Mon Jun 14 09:32:22 2021 read 17609750 cycles
  162. Mon Jun 14 09:32:24 2021 matrix is 17609571 x 17609750 (8888.0 MB) with weight 2686328162 (152.55/col)
  163. Mon Jun 14 09:32:24 2021 sparse part has weight 2118617099 (120.31/col)
  164. Mon Jun 14 09:35:53 2021 filtering completed in 2 passes
  165. Mon Jun 14 09:35:56 2021 matrix is 17609477 x 17609656 (8888.0 MB) with weight 2686324216 (152.55/col)
  166. Mon Jun 14 09:35:56 2021 sparse part has weight 2118616345 (120.31/col)
  167. Mon Jun 14 09:40:12 2021 matrix starts at (0, 0)
  168. Mon Jun 14 09:40:14 2021 matrix is 17609477 x 17609656 (8888.0 MB) with weight 2686324216 (152.55/col)
  169. Mon Jun 14 09:40:14 2021 sparse part has weight 2118616345 (120.31/col)
  170. Mon Jun 14 09:40:14 2021 saving the first 48 matrix rows for later
  171. Mon Jun 14 09:40:16 2021 matrix includes 64 packed rows
  172. Mon Jun 14 09:40:17 2021 matrix is 17609429 x 17609656 (8676.8 MB) with weight 2322091420 (131.86/col)
  173. Mon Jun 14 09:40:17 2021 sparse part has weight 2098479932 (119.17/col)
  174. Mon Jun 14 09:40:17 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  175. Mon Jun 14 09:41:32 2021 commencing Lanczos iteration (16 threads)
  176. Mon Jun 14 09:41:32 2021 memory use: 8243.1 MB
  177. Mon Jun 14 09:41:56 2021 linear algebra at 0.0%, ETA 74h15m
  178. Mon Jun 14 09:42:04 2021 checkpointing every 240000 dimensions
  179. Wed Jun 16 14:39:25 2021
  180. Wed Jun 16 14:39:25 2021
  181. Wed Jun 16 14:39:25 2021 Msieve v. 1.54 (SVN 1040M)
  182. Wed Jun 16 14:39:25 2021 random seeds: e04d3345 c66a0977
  183. Wed Jun 16 14:39:25 2021 factoring 1734147512979270320827767012217086906506556317798760101066642797284407332516993027773365157763102197607514963117947733088678302843725492651987691057475083298632139047698473602163355874115229 (190 digits)
  184. Wed Jun 16 14:39:26 2021 searching for 15-digit factors
  185. Wed Jun 16 14:39:26 2021 commencing number field sieve (190-digit input)
  186. Wed Jun 16 14:39:26 2021 R0: -2598343318530561190088419286201562362
  187. Wed Jun 16 14:39:26 2021 R1: 328301570246391373
  188. Wed Jun 16 14:39:26 2021 A0: -82717367334817895153685976600674902106038703
  189. Wed Jun 16 14:39:26 2021 A1: 24230002666061859616959799270512489908
  190. Wed Jun 16 14:39:26 2021 A2: 2098794365094139007789717181182
  191. Wed Jun 16 14:39:26 2021 A3: -69148370343514243109752
  192. Wed Jun 16 14:39:26 2021 A4: -1784626917919455
  193. Wed Jun 16 14:39:26 2021 A5: 14642100
  194. Wed Jun 16 14:39:26 2021 skew 34619080.46, size 1.462e-18, alpha -6.843, combined = 2.201e-14 rroots = 5
  195. Wed Jun 16 14:39:26 2021
  196. Wed Jun 16 14:39:26 2021 commencing linear algebra
  197. Wed Jun 16 14:42:45 2021 matrix starts at (0, 0)
  198. Wed Jun 16 14:42:47 2021 matrix is 17609477 x 17609656 (8888.0 MB) with weight 2686324216 (152.55/col)
  199. Wed Jun 16 14:42:47 2021 sparse part has weight 2118616345 (120.31/col)
  200. Wed Jun 16 14:42:47 2021 saving the first 48 matrix rows for later
  201. Wed Jun 16 14:42:49 2021 matrix includes 64 packed rows
  202. Wed Jun 16 14:42:51 2021 matrix is 17609429 x 17609656 (8676.8 MB) with weight 2322091420 (131.86/col)
  203. Wed Jun 16 14:42:51 2021 sparse part has weight 2098479932 (119.17/col)
  204. Wed Jun 16 14:42:51 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  205. Wed Jun 16 14:44:03 2021 commencing Lanczos iteration (16 threads)
  206. Wed Jun 16 14:44:03 2021 memory use: 8243.1 MB
  207. Wed Jun 16 14:44:19 2021 restarting at iteration 189773 (dim = 12000032)
  208. Wed Jun 16 14:44:41 2021 linear algebra at 68.2%, ETA 22h30m
  209. Wed Jun 16 14:44:49 2021 checkpointing every 250000 dimensions
  210. Thu Jun 17 13:44:51 2021 lanczos halted after 278479 iterations (dim = 17609427)
  211. Thu Jun 17 13:45:06 2021 recovered 28 nontrivial dependencies
  212. Thu Jun 17 13:45:13 2021 BLanczosTime: 83147
  213. Thu Jun 17 13:45:13 2021
  214. Thu Jun 17 13:45:13 2021 commencing square root phase
  215. Thu Jun 17 13:45:13 2021 reading relations for dependency 1
  216. Thu Jun 17 13:45:28 2021 read 8803679 cycles
  217. Thu Jun 17 13:45:44 2021 cycles contain 29341472 unique relations
  218. Thu Jun 17 13:58:31 2021 read 29341472 relations
  219. Thu Jun 17 14:01:08 2021 multiplying 29341472 relations
  220. Thu Jun 17 14:32:17 2021 multiply complete, coefficients have about 1896.64 million bits
  221. Thu Jun 17 14:32:27 2021 initial square root is modulo 321967223
  222. Thu Jun 17 15:06:43 2021 GCD is 1, no factor found
  223. Thu Jun 17 13:47:35 2021 reading relations for dependency 6
  224. Thu Jun 17 13:47:38 2021 read 8802170 cycles
  225. Thu Jun 17 13:47:55 2021 cycles contain 29339816 unique relations
  226. Thu Jun 17 13:58:31 2021 read 29339816 relations
  227. Thu Jun 17 14:01:07 2021 multiplying 29339816 relations
  228. Thu Jun 17 14:32:17 2021 multiply complete, coefficients have about 1896.54 million bits
  229. Thu Jun 17 14:32:27 2021 initial square root is modulo 321628913
  230. Thu Jun 17 15:06:30 2021 sqrtTime: 4735
  231. Thu Jun 17 15:06:30 2021 p65 factor: 20056257140525238827944708795427289880876895721011953040327799961
  232. Thu Jun 17 15:06:31 2021 p125 factor: 86464164316845011516578941583510410690400548487377387226890875178459259433155440046559329671102907822605900414119512655386789
  233. Thu Jun 17 15:06:31 2021 elapsed time 01:18:58
  234.  
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