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Sep 16th, 2021
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  1. Mon Aug 23 14:30:16 2021
  2. Mon Aug 23 14:30:16 2021
  3. Mon Aug 23 14:30:16 2021 Msieve v. 1.54 (SVN 1028)
  4. Mon Aug 23 14:30:16 2021 random seeds: 2b47b061 f479db1e
  5. Mon Aug 23 14:30:16 2021 factoring 6497796283085790617646059150372366964606368896700914231897112007877472465041361104816633385368204738329247234286008433271383657849259390181995253232549627282181602450877054088274812983092443583055528120564219365658125347735106734265115515083 (241 digits)
  6. Mon Aug 23 14:30:17 2021 no P-1/P+1/ECM available, skipping
  7. Mon Aug 23 14:30:17 2021 commencing number field sieve (241-digit input)
  8. Mon Aug 23 14:30:17 2021 R0: 713623846352979940529142984724747568191373312
  9. Mon Aug 23 14:30:17 2021 R1: -1
  10. Mon Aug 23 14:30:17 2021 A0: -1
  11. Mon Aug 23 14:30:17 2021 A1: 0
  12. Mon Aug 23 14:30:17 2021 A2: 0
  13. Mon Aug 23 14:30:17 2021 A3: 0
  14. Mon Aug 23 14:30:17 2021 A4: 0
  15. Mon Aug 23 14:30:17 2021 A5: 0
  16. Mon Aug 23 14:30:17 2021 A6: 13
  17. Mon Aug 23 14:30:17 2021 skew 0.67, size 2.510e-13, alpha 1.953, combined = 4.065e-14 rroots = 2
  18. Mon Aug 23 14:30:17 2021
  19. Mon Aug 23 14:30:17 2021 commencing relation filtering
  20. Mon Aug 23 14:30:17 2021 setting target matrix density to 120.0
  21. Mon Aug 23 14:30:17 2021 estimated available RAM is 128853.3 MB
  22. Mon Aug 23 14:30:17 2021 commencing duplicate removal, pass 1
  23. Mon Aug 23 14:35:42 2021 error -15 reading relation 33479915
  24. Mon Aug 23 14:43:21 2021 error -15 reading relation 83746502
  25. Mon Aug 23 14:57:00 2021 error -15 reading relation 174345696
  26. Mon Aug 23 15:00:33 2021 error -15 reading relation 197420759
  27. Mon Aug 23 15:07:46 2021 error -1 reading relation 245265133
  28. Mon Aug 23 15:20:12 2021 error -15 reading relation 327566596
  29. Mon Aug 23 15:20:12 2021 error -1 reading relation 327585902
  30. Mon Aug 23 15:20:26 2021 error -11 reading relation 329223909
  31. Mon Aug 23 15:21:12 2021 skipped 3183 relations with b > 2^32
  32. Mon Aug 23 15:21:12 2021 skipped 4 relations with composite factors
  33. Mon Aug 23 15:21:12 2021 found 23585900 hash collisions in 334654312 relations
  34. Mon Aug 23 15:21:30 2021 added 1218188 free relations
  35. Mon Aug 23 15:21:30 2021 commencing duplicate removal, pass 2
  36. Mon Aug 23 15:23:32 2021 found 1 duplicates and 335872499 unique relations
  37. Mon Aug 23 15:23:32 2021 memory use: 1257.5 MB
  38. Mon Aug 23 15:23:32 2021 reading ideals above 720000
  39. Mon Aug 23 15:23:32 2021 commencing singleton removal, initial pass
  40. Mon Aug 23 16:14:47 2021 memory use: 11024.0 MB
  41. Mon Aug 23 16:14:48 2021 reading all ideals from disk
  42. Mon Aug 23 16:15:07 2021 memory use: 14215.7 MB
  43. Mon Aug 23 16:16:05 2021 keeping 332032895 ideals with weight <= 200, target excess is 1729353
  44. Mon Aug 23 16:17:25 2021 commencing in-memory singleton removal
  45. Mon Aug 23 16:18:39 2021 begin with 335872499 relations and 332032895 unique ideals
  46. Mon Aug 23 16:29:03 2021 reduce to 192438741 relations and 171629841 ideals in 19 passes
  47. Mon Aug 23 16:29:03 2021 max relations containing the same ideal: 149
  48. Mon Aug 23 16:31:03 2021 removing 15563604 relations and 13563604 ideals in 2000000 cliques
  49. Mon Aug 23 16:31:08 2021 commencing in-memory singleton removal
  50. Mon Aug 23 16:31:29 2021 begin with 176875137 relations and 171629841 unique ideals
  51. Mon Aug 23 16:35:17 2021 reduce to 175822916 relations and 156998886 ideals in 10 passes
  52. Mon Aug 23 16:35:17 2021 max relations containing the same ideal: 140
  53. Mon Aug 23 16:37:05 2021 removing 11695469 relations and 9695469 ideals in 2000000 cliques
  54. Mon Aug 23 16:37:11 2021 commencing in-memory singleton removal
  55. Mon Aug 23 16:37:30 2021 begin with 164127447 relations and 156998886 unique ideals
  56. Mon Aug 23 16:40:17 2021 reduce to 163455475 relations and 146623327 ideals in 8 passes
  57. Mon Aug 23 16:40:17 2021 max relations containing the same ideal: 130
  58. Mon Aug 23 16:41:58 2021 removing 10511536 relations and 8511536 ideals in 2000000 cliques
  59. Mon Aug 23 16:42:04 2021 commencing in-memory singleton removal
  60. Mon Aug 23 16:42:21 2021 begin with 152943939 relations and 146623327 unique ideals
  61. Mon Aug 23 16:45:37 2021 reduce to 152356918 relations and 137517785 ideals in 10 passes
  62. Mon Aug 23 16:45:37 2021 max relations containing the same ideal: 125
  63. Mon Aug 23 16:47:12 2021 removing 9901573 relations and 7901573 ideals in 2000000 cliques
  64. Mon Aug 23 16:47:16 2021 commencing in-memory singleton removal
  65. Mon Aug 23 16:47:32 2021 begin with 142455345 relations and 137517785 unique ideals
  66. Mon Aug 23 16:50:05 2021 reduce to 141897699 relations and 129051679 ideals in 9 passes
  67. Mon Aug 23 16:50:05 2021 max relations containing the same ideal: 119
  68. Mon Aug 23 16:51:32 2021 removing 9529159 relations and 7529159 ideals in 2000000 cliques
  69. Mon Aug 23 16:51:37 2021 commencing in-memory singleton removal
  70. Mon Aug 23 16:51:52 2021 begin with 132368540 relations and 129051679 unique ideals
  71. Mon Aug 23 16:54:03 2021 reduce to 131813992 relations and 120960835 ideals in 8 passes
  72. Mon Aug 23 16:54:03 2021 max relations containing the same ideal: 114
  73. Mon Aug 23 16:55:24 2021 removing 9295631 relations and 7295631 ideals in 2000000 cliques
  74. Mon Aug 23 16:55:28 2021 commencing in-memory singleton removal
  75. Mon Aug 23 16:55:41 2021 begin with 122518361 relations and 120960835 unique ideals
  76. Mon Aug 23 16:57:55 2021 reduce to 121953131 relations and 113092279 ideals in 9 passes
  77. Mon Aug 23 16:57:55 2021 max relations containing the same ideal: 108
  78. Mon Aug 23 16:59:08 2021 removing 9155961 relations and 7155961 ideals in 2000000 cliques
  79. Mon Aug 23 16:59:11 2021 commencing in-memory singleton removal
  80. Mon Aug 23 16:59:23 2021 begin with 112797170 relations and 113092279 unique ideals
  81. Mon Aug 23 17:01:18 2021 reduce to 112207242 relations and 105337973 ideals in 9 passes
  82. Mon Aug 23 17:01:18 2021 max relations containing the same ideal: 104
  83. Mon Aug 23 17:02:25 2021 removing 9078530 relations and 7078530 ideals in 2000000 cliques
  84. Mon Aug 23 17:02:29 2021 commencing in-memory singleton removal
  85. Mon Aug 23 17:02:40 2021 begin with 103128712 relations and 105337973 unique ideals
  86. Mon Aug 23 17:04:42 2021 reduce to 102495599 relations and 97616400 ideals in 10 passes
  87. Mon Aug 23 17:04:42 2021 max relations containing the same ideal: 97
  88. Mon Aug 23 17:05:41 2021 removing 9059680 relations and 7059680 ideals in 2000000 cliques
  89. Mon Aug 23 17:05:45 2021 commencing in-memory singleton removal
  90. Mon Aug 23 17:05:55 2021 begin with 93435919 relations and 97616400 unique ideals
  91. Mon Aug 23 17:07:16 2021 reduce to 92747603 relations and 89856916 ideals in 8 passes
  92. Mon Aug 23 17:07:16 2021 max relations containing the same ideal: 92
  93. Mon Aug 23 17:08:11 2021 removing 4761825 relations and 3877188 ideals in 884637 cliques
  94. Mon Aug 23 17:08:14 2021 commencing in-memory singleton removal
  95. Mon Aug 23 17:08:23 2021 begin with 87985778 relations and 89856916 unique ideals
  96. Mon Aug 23 17:09:48 2021 reduce to 87793208 relations and 85785548 ideals in 9 passes
  97. Mon Aug 23 17:09:48 2021 max relations containing the same ideal: 89
  98. Mon Aug 23 17:10:53 2021 relations with 0 large ideals: 66250
  99. Mon Aug 23 17:10:53 2021 relations with 1 large ideals: 31266
  100. Mon Aug 23 17:10:53 2021 relations with 2 large ideals: 403666
  101. Mon Aug 23 17:10:53 2021 relations with 3 large ideals: 2526848
  102. Mon Aug 23 17:10:53 2021 relations with 4 large ideals: 8676337
  103. Mon Aug 23 17:10:53 2021 relations with 5 large ideals: 17950895
  104. Mon Aug 23 17:10:53 2021 relations with 6 large ideals: 23395248
  105. Mon Aug 23 17:10:53 2021 relations with 7+ large ideals: 34742698
  106. Mon Aug 23 17:10:53 2021 commencing 2-way merge
  107. Mon Aug 23 17:12:04 2021 reduce to 54697721 relation sets and 52690061 unique ideals
  108. Mon Aug 23 17:12:04 2021 commencing full merge
  109. Mon Aug 23 17:35:49 2021 memory use: 6727.8 MB
  110. Mon Aug 23 17:35:54 2021 found 24225641 cycles, need 24164261
  111. Mon Aug 23 17:36:04 2021 weight of 24164261 cycles is about 2900401340 (120.03/cycle)
  112. Mon Aug 23 17:36:04 2021 distribution of cycle lengths:
  113. Mon Aug 23 17:36:04 2021 1 relations: 1892016
  114. Mon Aug 23 17:36:04 2021 2 relations: 1819239
  115. Mon Aug 23 17:36:04 2021 3 relations: 1812883
  116. Mon Aug 23 17:36:04 2021 4 relations: 1745791
  117. Mon Aug 23 17:36:04 2021 5 relations: 1689416
  118. Mon Aug 23 17:36:04 2021 6 relations: 1618818
  119. Mon Aug 23 17:36:04 2021 7 relations: 1529638
  120. Mon Aug 23 17:36:04 2021 8 relations: 1446166
  121. Mon Aug 23 17:36:04 2021 9 relations: 1353903
  122. Mon Aug 23 17:36:04 2021 10+ relations: 9256391
  123. Mon Aug 23 17:36:04 2021 heaviest cycle: 28 relations
  124. Mon Aug 23 17:36:10 2021 commencing cycle optimization
  125. Mon Aug 23 17:37:05 2021 start with 207560400 relations
  126. Mon Aug 23 17:45:40 2021 pruned 8115076 relations
  127. Mon Aug 23 17:45:41 2021 memory use: 5714.3 MB
  128. Mon Aug 23 17:45:41 2021 distribution of cycle lengths:
  129. Mon Aug 23 17:45:41 2021 1 relations: 1892016
  130. Mon Aug 23 17:45:41 2021 2 relations: 1861332
  131. Mon Aug 23 17:45:41 2021 3 relations: 1882993
  132. Mon Aug 23 17:45:41 2021 4 relations: 1808554
  133. Mon Aug 23 17:45:41 2021 5 relations: 1760901
  134. Mon Aug 23 17:45:41 2021 6 relations: 1678878
  135. Mon Aug 23 17:45:41 2021 7 relations: 1590277
  136. Mon Aug 23 17:45:41 2021 8 relations: 1495297
  137. Mon Aug 23 17:45:41 2021 9 relations: 1399218
  138. Mon Aug 23 17:45:41 2021 10+ relations: 8794795
  139. Mon Aug 23 17:45:41 2021 heaviest cycle: 28 relations
  140. Mon Aug 23 17:46:37 2021 RelProcTime: 11780
  141. Mon Aug 23 17:46:37 2021 elapsed time 03:16:21
  142. Mon Aug 23 17:51:59 2021
  143. Mon Aug 23 17:51:59 2021
  144. Mon Aug 23 17:51:59 2021 Msieve v. 1.54 (SVN 1028)
  145. Mon Aug 23 17:51:59 2021 random seeds: 349f6367 fa4fb93c
  146. Mon Aug 23 17:51:59 2021 factoring 6497796283085790617646059150372366964606368896700914231897112007877472465041361104816633385368204738329247234286008433271383657849259390181995253232549627282181602450877054088274812983092443583055528120564219365658125347735106734265115515083 (241 digits)
  147. Mon Aug 23 17:52:01 2021 no P-1/P+1/ECM available, skipping
  148. Mon Aug 23 17:52:01 2021 commencing number field sieve (241-digit input)
  149. Mon Aug 23 17:52:01 2021 R0: 713623846352979940529142984724747568191373312
  150. Mon Aug 23 17:52:01 2021 R1: -1
  151. Mon Aug 23 17:52:01 2021 A0: -1
  152. Mon Aug 23 17:52:01 2021 A1: 0
  153. Mon Aug 23 17:52:01 2021 A2: 0
  154. Mon Aug 23 17:52:01 2021 A3: 0
  155. Mon Aug 23 17:52:01 2021 A4: 0
  156. Mon Aug 23 17:52:01 2021 A5: 0
  157. Mon Aug 23 17:52:01 2021 A6: 13
  158. Mon Aug 23 17:52:01 2021 skew 0.67, size 2.510e-13, alpha 1.953, combined = 4.065e-14 rroots = 2
  159. Mon Aug 23 17:52:01 2021
  160. Mon Aug 23 17:52:01 2021 commencing linear algebra
  161. Mon Aug 23 17:52:05 2021 read 24164261 cycles
  162. Mon Aug 23 17:53:08 2021 cycles contain 86449665 unique relations
  163. Mon Aug 23 18:01:09 2021 read 86449665 relations
  164. Mon Aug 23 18:04:18 2021 using 20 quadratic characters above 4294917295
  165. Mon Aug 23 18:11:00 2021 building initial matrix
  166. Mon Aug 23 18:29:51 2021 memory use: 10929.4 MB
  167. Mon Aug 23 18:30:06 2021 read 24164261 cycles
  168. Mon Aug 23 18:30:09 2021 matrix is 24164084 x 24164261 (11299.0 MB) with weight 3207375297 (132.73/col)
  169. Mon Aug 23 18:30:09 2021 sparse part has weight 2720328240 (112.58/col)
  170. Mon Aug 23 18:37:38 2021 filtering completed in 2 passes
  171. Mon Aug 23 18:37:43 2021 matrix is 24162953 x 24163128 (11298.9 MB) with weight 3207337797 (132.74/col)
  172. Mon Aug 23 18:37:43 2021 sparse part has weight 2720314834 (112.58/col)
  173. Mon Aug 23 18:39:05 2021 matrix starts at (0, 0)
  174. Mon Aug 23 18:39:08 2021 matrix is 24162953 x 24163128 (11298.9 MB) with weight 3207337797 (132.74/col)
  175. Mon Aug 23 18:39:08 2021 sparse part has weight 2720314834 (112.58/col)
  176. Mon Aug 23 18:39:08 2021 saving the first 112 matrix rows for later
  177. Mon Aug 23 18:39:13 2021 matrix includes 128 packed rows
  178. Mon Aug 23 18:39:20 2021 matrix is 24162841 x 24163128 (10572.3 MB) with weight 2606612305 (107.88/col)
  179. Mon Aug 23 18:39:20 2021 sparse part has weight 2481512144 (102.70/col)
  180. Mon Aug 23 18:39:20 2021 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  181. Mon Aug 23 18:41:15 2021 commencing Lanczos iteration (10 threads)
  182. Mon Aug 23 18:41:15 2021 memory use: 11808.0 MB
  183. Mon Aug 23 18:42:36 2021 linear algebra at 0.0%, ETA 320h13m
  184. Mon Aug 23 18:43:01 2021 checkpointing every 80000 dimensions
  185. Fri Sep 3 22:06:10 2021 lanczos halted after 189912 iterations (dim = 24162841)
  186. Fri Sep 3 22:06:52 2021 recovered 39 nontrivial dependencies
  187. Fri Sep 3 22:06:54 2021 BLanczosTime: 965693
  188. Fri Sep 3 22:06:54 2021
  189. Fri Sep 3 22:06:54 2021 commencing square root phase
  190. Fri Sep 3 22:06:54 2021 reading relations for dependency 1
  191. Fri Sep 3 22:06:58 2021 read 12082878 cycles
  192. Fri Sep 3 22:07:25 2021 cycles contain 43237850 unique relations
  193. Fri Sep 3 22:11:56 2021 read 43237850 relations
  194. Fri Sep 3 22:15:32 2021 multiplying 43237850 relations
  195. Fri Sep 3 22:56:25 2021 multiply complete, coefficients have about 1278.37 million bits
  196. Fri Sep 3 22:56:29 2021 initial square root is modulo 542557
  197. Fri Sep 3 23:38:46 2021 sqrtTime: 5512
  198. Fri Sep 3 23:38:46 2021 p85 factor: 1143204596151123336717659857898059154809096022379362712584970085350082430059856543207
  199. Fri Sep 3 23:38:46 2021 p157 factor: 5683843736250015204489421274638790828591294130741328633239683143654973419998914703899331955577037330073358881172422196032548811666280410687173298960325593469
  200. Fri Sep 3 23:38:46 2021 elapsed time 269:46:47
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