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Aug 19th, 2021
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  1. Wed Jul 28 09:39:56 2021 Msieve v. 1.54 (SVN 1028)
  2. Wed Jul 28 09:39:56 2021 random seeds: 7f473b18 7eedcc0f
  3. Wed Jul 28 09:39:56 2021 factoring 4475804591633351381419019660598907397141982319680935943354011037282328490189290780891784798173349404390482672704838309520586965620129465549382192283291701781190328359234251046904784183704915276527289101974449257234922411 (220 digits)
  4. Wed Jul 28 09:39:58 2021 no P-1/P+1/ECM available, skipping
  5. Wed Jul 28 09:39:58 2021 commencing number field sieve (220-digit input)
  6. Wed Jul 28 09:39:58 2021 R0: 178405961588244985132285746181186892047843328
  7. Wed Jul 28 09:39:58 2021 R1: -1
  8. Wed Jul 28 09:39:58 2021 A0: -1
  9. Wed Jul 28 09:39:58 2021 A1: 0
  10. Wed Jul 28 09:39:58 2021 A2: 0
  11. Wed Jul 28 09:39:58 2021 A3: 0
  12. Wed Jul 28 09:39:58 2021 A4: 0
  13. Wed Jul 28 09:39:58 2021 A5: 0
  14. Wed Jul 28 09:39:58 2021 A6: 52
  15. Wed Jul 28 09:39:58 2021 skew 0.54, size 3.708e-13, alpha 1.164, combined = 5.465e-14 rroots = 2
  16. Wed Jul 28 09:39:58 2021
  17. Wed Jul 28 09:39:58 2021 commencing relation filtering
  18. Wed Jul 28 09:39:58 2021 setting target matrix density to 116.0
  19. Wed Jul 28 09:39:58 2021 estimated available RAM is 128853.3 MB
  20. Wed Jul 28 09:39:58 2021 commencing duplicate removal, pass 1
  21. Wed Jul 28 09:47:00 2021
  22. Wed Jul 28 09:47:00 2021
  23. Wed Jul 28 09:47:00 2021 Msieve v. 1.54 (SVN 1028)
  24. Wed Jul 28 09:47:00 2021 random seeds: 83da6a40 867b3ce6
  25. Wed Jul 28 09:47:00 2021 factoring 4475804591633351381419019660598907397141982319680935943354011037282328490189290780891784798173349404390482672704838309520586965620129465549382192283291701781190328359234251046904784183704915276527289101974449257234922411 (220 digits)
  26. Wed Jul 28 09:47:02 2021 no P-1/P+1/ECM available, skipping
  27. Wed Jul 28 09:47:02 2021 commencing number field sieve (220-digit input)
  28. Wed Jul 28 09:47:02 2021 R0: 178405961588244985132285746181186892047843328
  29. Wed Jul 28 09:47:02 2021 R1: -1
  30. Wed Jul 28 09:47:02 2021 A0: -1
  31. Wed Jul 28 09:47:02 2021 A1: 0
  32. Wed Jul 28 09:47:02 2021 A2: 0
  33. Wed Jul 28 09:47:02 2021 A3: 0
  34. Wed Jul 28 09:47:02 2021 A4: 0
  35. Wed Jul 28 09:47:02 2021 A5: 0
  36. Wed Jul 28 09:47:02 2021 A6: 52
  37. Wed Jul 28 09:47:02 2021 skew 0.54, size 3.708e-13, alpha 1.164, combined = 5.465e-14 rroots = 2
  38. Wed Jul 28 09:47:02 2021
  39. Wed Jul 28 09:47:02 2021 commencing relation filtering
  40. Wed Jul 28 09:47:02 2021 setting target matrix density to 116.0
  41. Wed Jul 28 09:47:02 2021 estimated available RAM is 128853.3 MB
  42. Wed Jul 28 09:47:02 2021 commencing duplicate removal, pass 1
  43. Wed Jul 28 09:56:13 2021 error -15 reading relation 43417158
  44. Wed Jul 28 10:17:23 2021 error -15 reading relation 142719389
  45. Wed Jul 28 10:24:46 2021 error -15 reading relation 176979621
  46. Wed Jul 28 10:34:34 2021 error -15 reading relation 230454292
  47. Wed Jul 28 10:36:53 2021 error -15 reading relation 243958303
  48. Wed Jul 28 10:40:57 2021 error -15 reading relation 265518118
  49. Wed Jul 28 10:51:59 2021 error -15 reading relation 319328835
  50. Wed Jul 28 10:53:08 2021 error -1 reading relation 324928033
  51. Wed Jul 28 10:53:09 2021 skipped 2942 relations with b > 2^32
  52. Wed Jul 28 10:53:09 2021 skipped 8 relations with composite factors
  53. Wed Jul 28 10:53:09 2021 found 22303038 hash collisions in 325018973 relations
  54. Wed Jul 28 10:53:35 2021 added 1218668 free relations
  55. Wed Jul 28 10:53:35 2021 commencing duplicate removal, pass 2
  56. Wed Jul 28 10:55:54 2021 found 0 duplicates and 326237641 unique relations
  57. Wed Jul 28 10:55:54 2021 memory use: 1257.5 MB
  58. Wed Jul 28 10:55:54 2021 reading ideals above 720000
  59. Wed Jul 28 10:55:54 2021 commencing singleton removal, initial pass
  60. Wed Jul 28 12:07:11 2021 memory use: 6024.0 MB
  61. Wed Jul 28 12:07:11 2021 reading all ideals from disk
  62. Wed Jul 28 12:10:17 2021 memory use: 13634.7 MB
  63. Wed Jul 28 12:11:04 2021 keeping 316623947 ideals with weight <= 200, target excess is 1695979
  64. Wed Jul 28 12:11:58 2021 commencing in-memory singleton removal
  65. Wed Jul 28 12:12:35 2021 begin with 326237641 relations and 316623947 unique ideals
  66. Wed Jul 28 12:28:56 2021 reduce to 186664106 relations and 161093323 ideals in 19 passes
  67. Wed Jul 28 12:28:56 2021 max relations containing the same ideal: 146
  68. Wed Jul 28 12:31:33 2021 removing 14162579 relations and 12162579 ideals in 2000000 cliques
  69. Wed Jul 28 12:31:40 2021 commencing in-memory singleton removal
  70. Wed Jul 28 12:32:05 2021 begin with 172501527 relations and 161093323 unique ideals
  71. Wed Jul 28 12:36:58 2021 reduce to 171649785 relations and 148066501 ideals in 8 passes
  72. Wed Jul 28 12:36:58 2021 max relations containing the same ideal: 138
  73. Wed Jul 28 12:39:31 2021 removing 10691344 relations and 8691344 ideals in 2000000 cliques
  74. Wed Jul 28 12:39:38 2021 commencing in-memory singleton removal
  75. Wed Jul 28 12:39:59 2021 begin with 160958441 relations and 148066501 unique ideals
  76. Wed Jul 28 12:46:31 2021 reduce to 160409953 relations and 138819837 ideals in 10 passes
  77. Wed Jul 28 12:46:31 2021 max relations containing the same ideal: 133
  78. Wed Jul 28 12:49:26 2021 removing 9625936 relations and 7625936 ideals in 2000000 cliques
  79. Wed Jul 28 12:49:34 2021 commencing in-memory singleton removal
  80. Wed Jul 28 12:49:57 2021 begin with 150784017 relations and 138819837 unique ideals
  81. Wed Jul 28 12:54:56 2021 reduce to 150303280 relations and 130707185 ideals in 8 passes
  82. Wed Jul 28 12:54:56 2021 max relations containing the same ideal: 128
  83. Wed Jul 28 12:56:59 2021 removing 9067671 relations and 7067671 ideals in 2000000 cliques
  84. Wed Jul 28 12:57:05 2021 commencing in-memory singleton removal
  85. Wed Jul 28 12:57:24 2021 begin with 141235609 relations and 130707185 unique ideals
  86. Wed Jul 28 13:01:24 2021 reduce to 140780061 relations and 123178324 ideals in 8 passes
  87. Wed Jul 28 13:01:24 2021 max relations containing the same ideal: 123
  88. Wed Jul 28 13:03:12 2021 removing 8725451 relations and 6725451 ideals in 2000000 cliques
  89. Wed Jul 28 13:03:17 2021 commencing in-memory singleton removal
  90. Wed Jul 28 13:03:35 2021 begin with 132054610 relations and 123178324 unique ideals
  91. Wed Jul 28 13:07:08 2021 reduce to 131605797 relations and 115998129 ideals in 8 passes
  92. Wed Jul 28 13:07:08 2021 max relations containing the same ideal: 117
  93. Wed Jul 28 13:08:51 2021 removing 8497479 relations and 6497479 ideals in 2000000 cliques
  94. Wed Jul 28 13:08:56 2021 commencing in-memory singleton removal
  95. Wed Jul 28 13:09:12 2021 begin with 123108318 relations and 115998129 unique ideals
  96. Wed Jul 28 13:12:31 2021 reduce to 122654199 relations and 109040302 ideals in 8 passes
  97. Wed Jul 28 13:12:31 2021 max relations containing the same ideal: 111
  98. Wed Jul 28 13:14:05 2021 removing 8351256 relations and 6351256 ideals in 2000000 cliques
  99. Wed Jul 28 13:14:10 2021 commencing in-memory singleton removal
  100. Wed Jul 28 13:14:25 2021 begin with 114302943 relations and 109040302 unique ideals
  101. Wed Jul 28 13:17:28 2021 reduce to 113835675 relations and 102215112 ideals in 8 passes
  102. Wed Jul 28 13:17:28 2021 max relations containing the same ideal: 104
  103. Wed Jul 28 13:18:57 2021 removing 8269052 relations and 6269052 ideals in 2000000 cliques
  104. Wed Jul 28 13:19:02 2021 commencing in-memory singleton removal
  105. Wed Jul 28 13:19:16 2021 begin with 105566623 relations and 102215112 unique ideals
  106. Wed Jul 28 13:22:00 2021 reduce to 105073984 relations and 95445930 ideals in 8 passes
  107. Wed Jul 28 13:22:00 2021 max relations containing the same ideal: 100
  108. Wed Jul 28 13:23:21 2021 removing 8228711 relations and 6228711 ideals in 2000000 cliques
  109. Wed Jul 28 13:23:25 2021 commencing in-memory singleton removal
  110. Wed Jul 28 13:23:38 2021 begin with 96845273 relations and 95445930 unique ideals
  111. Wed Jul 28 13:26:11 2021 reduce to 96318794 relations and 88681943 ideals in 8 passes
  112. Wed Jul 28 13:26:11 2021 max relations containing the same ideal: 95
  113. Wed Jul 28 13:27:15 2021 removing 8225317 relations and 6225317 ideals in 2000000 cliques
  114. Wed Jul 28 13:27:18 2021 commencing in-memory singleton removal
  115. Wed Jul 28 13:27:26 2021 begin with 88093477 relations and 88681943 unique ideals
  116. Wed Jul 28 13:28:50 2021 reduce to 87518960 relations and 81871878 ideals in 8 passes
  117. Wed Jul 28 13:28:50 2021 max relations containing the same ideal: 89
  118. Wed Jul 28 13:29:55 2021 removing 8270967 relations and 6270967 ideals in 2000000 cliques
  119. Wed Jul 28 13:29:58 2021 commencing in-memory singleton removal
  120. Wed Jul 28 13:30:08 2021 begin with 79247993 relations and 81871878 unique ideals
  121. Wed Jul 28 13:31:30 2021 reduce to 78603677 relations and 74944147 ideals in 8 passes
  122. Wed Jul 28 13:31:30 2021 max relations containing the same ideal: 84
  123. Wed Jul 28 13:32:29 2021 removing 7311880 relations and 5619686 ideals in 1692194 cliques
  124. Wed Jul 28 13:32:33 2021 commencing in-memory singleton removal
  125. Wed Jul 28 13:32:41 2021 begin with 71291797 relations and 74944147 unique ideals
  126. Wed Jul 28 13:34:02 2021 reduce to 70733327 relations and 68755611 ideals in 9 passes
  127. Wed Jul 28 13:34:02 2021 max relations containing the same ideal: 78
  128. Wed Jul 28 13:34:55 2021 removing 98217 relations and 87837 ideals in 10380 cliques
  129. Wed Jul 28 13:34:57 2021 commencing in-memory singleton removal
  130. Wed Jul 28 13:35:05 2021 begin with 70635110 relations and 68755611 unique ideals
  131. Wed Jul 28 13:35:32 2021 reduce to 70635052 relations and 68667716 ideals in 3 passes
  132. Wed Jul 28 13:35:32 2021 max relations containing the same ideal: 78
  133. Wed Jul 28 13:35:50 2021 relations with 0 large ideals: 64611
  134. Wed Jul 28 13:35:50 2021 relations with 1 large ideals: 38371
  135. Wed Jul 28 13:35:50 2021 relations with 2 large ideals: 470999
  136. Wed Jul 28 13:35:50 2021 relations with 3 large ideals: 2717470
  137. Wed Jul 28 13:35:50 2021 relations with 4 large ideals: 8530234
  138. Wed Jul 28 13:35:50 2021 relations with 5 large ideals: 16010093
  139. Wed Jul 28 13:35:50 2021 relations with 6 large ideals: 18831372
  140. Wed Jul 28 13:35:50 2021 relations with 7+ large ideals: 23971902
  141. Wed Jul 28 13:35:50 2021 commencing 2-way merge
  142. Wed Jul 28 13:36:52 2021 reduce to 43918250 relation sets and 41950914 unique ideals
  143. Wed Jul 28 13:36:52 2021 commencing full merge
  144. Wed Jul 28 13:57:07 2021 memory use: 5322.2 MB
  145. Wed Jul 28 13:57:11 2021 found 19772081 cycles, need 19645114
  146. Wed Jul 28 13:57:18 2021 weight of 19645114 cycles is about 2279220179 (116.02/cycle)
  147. Wed Jul 28 13:57:18 2021 distribution of cycle lengths:
  148. Wed Jul 28 13:57:18 2021 1 relations: 1503272
  149. Wed Jul 28 13:57:18 2021 2 relations: 1464889
  150. Wed Jul 28 13:57:18 2021 3 relations: 1477883
  151. Wed Jul 28 13:57:18 2021 4 relations: 1443886
  152. Wed Jul 28 13:57:18 2021 5 relations: 1417297
  153. Wed Jul 28 13:57:18 2021 6 relations: 1373054
  154. Wed Jul 28 13:57:18 2021 7 relations: 1311120
  155. Wed Jul 28 13:57:18 2021 8 relations: 1245563
  156. Wed Jul 28 13:57:18 2021 9 relations: 1163737
  157. Wed Jul 28 13:57:18 2021 10+ relations: 7244413
  158. Wed Jul 28 13:57:18 2021 heaviest cycle: 28 relations
  159. Wed Jul 28 13:57:23 2021 commencing cycle optimization
  160. Wed Jul 28 13:58:00 2021 start with 163730441 relations
  161. Wed Jul 28 14:04:29 2021 pruned 6425844 relations
  162. Wed Jul 28 14:04:29 2021 memory use: 4558.7 MB
  163. Wed Jul 28 14:04:29 2021 distribution of cycle lengths:
  164. Wed Jul 28 14:04:29 2021 1 relations: 1503272
  165. Wed Jul 28 14:04:29 2021 2 relations: 1497784
  166. Wed Jul 28 14:04:29 2021 3 relations: 1533988
  167. Wed Jul 28 14:04:29 2021 4 relations: 1495837
  168. Wed Jul 28 14:04:29 2021 5 relations: 1478350
  169. Wed Jul 28 14:04:29 2021 6 relations: 1426589
  170. Wed Jul 28 14:04:29 2021 7 relations: 1365871
  171. Wed Jul 28 14:04:29 2021 8 relations: 1292115
  172. Wed Jul 28 14:04:29 2021 9 relations: 1205678
  173. Wed Jul 28 14:04:29 2021 10+ relations: 6845630
  174. Wed Jul 28 14:04:29 2021 heaviest cycle: 28 relations
  175. Wed Jul 28 14:05:21 2021 RelProcTime: 15499
  176. Wed Jul 28 14:05:21 2021 elapsed time 04:18:21
  177. Wed Jul 28 14:48:10 2021
  178. Wed Jul 28 14:48:10 2021
  179. Wed Jul 28 14:48:10 2021 Msieve v. 1.54 (SVN 1028)
  180. Wed Jul 28 14:48:10 2021 random seeds: d29eb142 f86d6ce7
  181. Wed Jul 28 14:48:10 2021 factoring 4475804591633351381419019660598907397141982319680935943354011037282328490189290780891784798173349404390482672704838309520586965620129465549382192283291701781190328359234251046904784183704915276527289101974449257234922411 (220 digits)
  182. Wed Jul 28 14:48:11 2021 no P-1/P+1/ECM available, skipping
  183. Wed Jul 28 14:48:11 2021 commencing number field sieve (220-digit input)
  184. Wed Jul 28 14:48:11 2021 R0: 178405961588244985132285746181186892047843328
  185. Wed Jul 28 14:48:11 2021 R1: -1
  186. Wed Jul 28 14:48:11 2021 A0: -1
  187. Wed Jul 28 14:48:11 2021 A1: 0
  188. Wed Jul 28 14:48:11 2021 A2: 0
  189. Wed Jul 28 14:48:11 2021 A3: 0
  190. Wed Jul 28 14:48:11 2021 A4: 0
  191. Wed Jul 28 14:48:11 2021 A5: 0
  192. Wed Jul 28 14:48:11 2021 A6: 52
  193. Wed Jul 28 14:48:11 2021 skew 0.54, size 3.708e-13, alpha 1.164, combined = 5.465e-14 rroots = 2
  194. Wed Jul 28 14:48:11 2021
  195. Wed Jul 28 14:48:11 2021 commencing linear algebra
  196. Wed Jul 28 14:48:13 2021 read 19645114 cycles
  197. Wed Jul 28 14:49:11 2021 cycles contain 69328753 unique relations
  198. Wed Jul 28 14:57:53 2021 read 69328753 relations
  199. Wed Jul 28 15:00:54 2021 using 20 quadratic characters above 4294917295
  200. Wed Jul 28 15:06:57 2021 building initial matrix
  201. Wed Jul 28 15:26:01 2021 memory use: 8666.9 MB
  202. Wed Jul 28 15:26:14 2021 read 19645114 cycles
  203. Wed Jul 28 15:26:18 2021 matrix is 19644935 x 19645114 (8987.7 MB) with weight 2571852054 (130.92/col)
  204. Wed Jul 28 15:26:18 2021 sparse part has weight 2139971943 (108.93/col)
  205. Wed Jul 28 15:32:39 2021 filtering completed in 2 passes
  206. Wed Jul 28 15:32:43 2021 matrix is 19643104 x 19643282 (8987.5 MB) with weight 2571785843 (130.92/col)
  207. Wed Jul 28 15:32:43 2021 sparse part has weight 2139947190 (108.94/col)
  208. Wed Jul 28 15:35:59 2021 matrix starts at (0, 0)
  209. Wed Jul 28 15:36:03 2021 matrix is 19643104 x 19643282 (8987.5 MB) with weight 2571785843 (130.92/col)
  210. Wed Jul 28 15:36:03 2021 sparse part has weight 2139947190 (108.94/col)
  211. Wed Jul 28 15:36:03 2021 saving the first 112 matrix rows for later
  212. Wed Jul 28 15:36:08 2021 matrix includes 128 packed rows
  213. Wed Jul 28 15:36:14 2021 matrix is 19642992 x 19643282 (8349.7 MB) with weight 2066755025 (105.21/col)
  214. Wed Jul 28 15:36:14 2021 sparse part has weight 1953111836 (99.43/col)
  215. Wed Jul 28 15:36:15 2021 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  216. Wed Jul 28 15:37:58 2021 commencing Lanczos iteration (10 threads)
  217. Wed Jul 28 15:37:58 2021 memory use: 9327.0 MB
  218. Wed Jul 28 15:39:44 2021 linear algebra at 0.0%, ETA 346h21m
  219. Wed Jul 28 15:40:16 2021 checkpointing every 60000 dimensions
  220. Mon Aug 2 19:21:43 2021 lanczos halted after 154378 iterations (dim = 19642990)
  221. Mon Aug 2 19:22:20 2021 recovered 37 nontrivial dependencies
  222. Mon Aug 2 19:22:21 2021 BLanczosTime: 448450
  223. Mon Aug 2 19:22:21 2021
  224. Mon Aug 2 19:22:21 2021 commencing square root phase
  225. Mon Aug 2 19:22:21 2021 reading relations for dependency 1
  226. Mon Aug 2 19:22:32 2021 read 9822259 cycles
  227. Mon Aug 2 19:22:51 2021 cycles contain 34660772 unique relations
  228. Mon Aug 2 19:27:44 2021 read 34660772 relations
  229. Mon Aug 2 19:30:23 2021 multiplying 34660772 relations
  230. Mon Aug 2 19:59:54 2021 multiply complete, coefficients have about 1081.95 million bits
  231. Mon Aug 2 19:59:57 2021 initial square root is modulo 71443
  232. Mon Aug 2 20:31:18 2021 sqrtTime: 4137
  233. Mon Aug 2 20:31:18 2021 p104 factor: 10916474846743980299065600036092921596743699210715155424357976497680079578992839373584242972170789666853
  234. Mon Aug 2 20:31:18 2021 p117 factor: 410004571482004957272227330214520709170830331573655817289509867725924373802360030748975116299937962057233654209305487
  235. Mon Aug 2 20:31:18 2021 elapsed time 125:43:08
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