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Jan 28th, 2021
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  1. Tue Dec 29 23:00:02 2020
  2. Tue Dec 29 23:00:02 2020
  3. Tue Dec 29 23:00:02 2020 Msieve v. 1.54 (SVN 1028)
  4. Tue Dec 29 23:00:02 2020 random seeds: dc531fa6 6ce8a745
  5. Tue Dec 29 23:00:02 2020 factoring 4131369515587192676362528757079579368807305934859326938049114968231369470843262921508452895911468140526348264535659298926897739697777898752107451119345204395690318786775682531183927772841271527078478846206994946986386654807109929889493977251313649 (247 digits)
  6. Tue Dec 29 23:00:03 2020 no P-1/P+1/ECM available, skipping
  7. Tue Dec 29 23:00:03 2020 commencing number field sieve (247-digit input)
  8. Tue Dec 29 23:00:03 2020 R0: 89202980794122492566142873090593446023921664
  9. Tue Dec 29 23:00:03 2020 R1: -1
  10. Tue Dec 29 23:00:03 2020 A0: -4
  11. Tue Dec 29 23:00:03 2020 A1: 0
  12. Tue Dec 29 23:00:03 2020 A2: 0
  13. Tue Dec 29 23:00:03 2020 A3: 0
  14. Tue Dec 29 23:00:03 2020 A4: 0
  15. Tue Dec 29 23:00:03 2020 A5: 0
  16. Tue Dec 29 23:00:03 2020 A6: 13
  17. Tue Dec 29 23:00:03 2020 skew 0.82, size 4.720e-13, alpha 1.244, combined = 6.565e-14 rroots = 2
  18. Tue Dec 29 23:00:03 2020
  19. Tue Dec 29 23:00:03 2020 commencing relation filtering
  20. Tue Dec 29 23:00:03 2020 setting target matrix density to 112.0
  21. Tue Dec 29 23:00:03 2020 estimated available RAM is 31953.3 MB
  22. Tue Dec 29 23:00:03 2020 commencing duplicate removal, pass 1
  23. Tue Dec 29 23:19:52 2020 error -15 reading relation 115805300
  24. Tue Dec 29 23:39:39 2020 error -15 reading relation 233386619
  25. Tue Dec 29 23:43:38 2020 skipped 1223 relations with b > 2^32
  26. Tue Dec 29 23:43:38 2020 skipped 3 relations with composite factors
  27. Tue Dec 29 23:43:38 2020 found 14260359 hash collisions in 257245565 relations
  28. Tue Dec 29 23:43:58 2020 added 1218764 free relations
  29. Tue Dec 29 23:43:58 2020 commencing duplicate removal, pass 2
  30. Tue Dec 29 23:45:21 2020 found 2 duplicates and 258464327 unique relations
  31. Tue Dec 29 23:45:21 2020 memory use: 788.8 MB
  32. Tue Dec 29 23:45:21 2020 reading ideals above 164954112
  33. Tue Dec 29 23:45:21 2020 commencing singleton removal, initial pass
  34. Wed Dec 30 00:15:44 2020 memory use: 6024.0 MB
  35. Wed Dec 30 00:15:44 2020 reading all ideals from disk
  36. Wed Dec 30 00:15:53 2020 memory use: 4846.2 MB
  37. Wed Dec 30 00:16:09 2020 commencing in-memory singleton removal
  38. Wed Dec 30 00:16:26 2020 begin with 258464327 relations and 232823386 unique ideals
  39. Wed Dec 30 00:19:20 2020 reduce to 156190671 relations and 119559717 ideals in 17 passes
  40. Wed Dec 30 00:19:20 2020 max relations containing the same ideal: 43
  41. Wed Dec 30 00:19:33 2020 reading ideals above 720000
  42. Wed Dec 30 00:19:33 2020 commencing singleton removal, initial pass
  43. Wed Dec 30 00:42:28 2020 memory use: 3012.0 MB
  44. Wed Dec 30 00:42:28 2020 reading all ideals from disk
  45. Wed Dec 30 00:42:40 2020 memory use: 6479.7 MB
  46. Wed Dec 30 00:43:07 2020 keeping 137212268 ideals with weight <= 200, target excess is 818094
  47. Wed Dec 30 00:43:35 2020 commencing in-memory singleton removal
  48. Wed Dec 30 00:43:57 2020 begin with 156190671 relations and 137212268 unique ideals
  49. Wed Dec 30 00:46:39 2020 reduce to 156189992 relations and 137211589 ideals in 8 passes
  50. Wed Dec 30 00:46:39 2020 max relations containing the same ideal: 200
  51. Wed Dec 30 00:48:21 2020 removing 13566543 relations and 11566543 ideals in 2000000 cliques
  52. Wed Dec 30 00:48:26 2020 commencing in-memory singleton removal
  53. Wed Dec 30 00:48:46 2020 begin with 142623449 relations and 137211589 unique ideals
  54. Wed Dec 30 00:51:32 2020 reduce to 141624027 relations and 124628377 ideals in 9 passes
  55. Wed Dec 30 00:51:32 2020 max relations containing the same ideal: 196
  56. Wed Dec 30 00:53:04 2020 removing 10346069 relations and 8346069 ideals in 2000000 cliques
  57. Wed Dec 30 00:53:09 2020 commencing in-memory singleton removal
  58. Wed Dec 30 00:53:27 2020 begin with 131277958 relations and 124628377 unique ideals
  59. Wed Dec 30 00:56:01 2020 reduce to 130618871 relations and 115613335 ideals in 9 passes
  60. Wed Dec 30 00:56:01 2020 max relations containing the same ideal: 187
  61. Wed Dec 30 00:57:30 2020 removing 9377450 relations and 7377450 ideals in 2000000 cliques
  62. Wed Dec 30 00:57:34 2020 commencing in-memory singleton removal
  63. Wed Dec 30 00:57:51 2020 begin with 121241421 relations and 115613335 unique ideals
  64. Wed Dec 30 01:00:22 2020 reduce to 120653991 relations and 107639417 ideals in 9 passes
  65. Wed Dec 30 01:00:22 2020 max relations containing the same ideal: 177
  66. Wed Dec 30 01:01:45 2020 removing 8889812 relations and 6889812 ideals in 2000000 cliques
  67. Wed Dec 30 01:01:50 2020 commencing in-memory singleton removal
  68. Wed Dec 30 01:02:05 2020 begin with 111764179 relations and 107639417 unique ideals
  69. Wed Dec 30 01:04:19 2020 reduce to 111195381 relations and 100171902 ideals in 9 passes
  70. Wed Dec 30 01:04:19 2020 max relations containing the same ideal: 171
  71. Wed Dec 30 01:05:45 2020 removing 8611091 relations and 6611091 ideals in 2000000 cliques
  72. Wed Dec 30 01:05:49 2020 commencing in-memory singleton removal
  73. Wed Dec 30 01:06:05 2020 begin with 102584290 relations and 100171902 unique ideals
  74. Wed Dec 30 01:07:54 2020 reduce to 102008570 relations and 92975768 ideals in 7 passes
  75. Wed Dec 30 01:07:54 2020 max relations containing the same ideal: 161
  76. Wed Dec 30 01:09:16 2020 removing 8453233 relations and 6453233 ideals in 2000000 cliques
  77. Wed Dec 30 01:09:20 2020 commencing in-memory singleton removal
  78. Wed Dec 30 01:09:34 2020 begin with 93555337 relations and 92975768 unique ideals
  79. Wed Dec 30 01:11:30 2020 reduce to 92954923 relations and 85911605 ideals in 8 passes
  80. Wed Dec 30 01:11:30 2020 max relations containing the same ideal: 149
  81. Wed Dec 30 01:12:44 2020 removing 8370472 relations and 6370472 ideals in 2000000 cliques
  82. Wed Dec 30 01:12:48 2020 commencing in-memory singleton removal
  83. Wed Dec 30 01:13:00 2020 begin with 84584451 relations and 85911605 unique ideals
  84. Wed Dec 30 01:14:51 2020 reduce to 83940188 relations and 78884535 ideals in 9 passes
  85. Wed Dec 30 01:14:51 2020 max relations containing the same ideal: 143
  86. Wed Dec 30 01:15:56 2020 removing 8347440 relations and 6347440 ideals in 2000000 cliques
  87. Wed Dec 30 01:15:59 2020 commencing in-memory singleton removal
  88. Wed Dec 30 01:16:10 2020 begin with 75592748 relations and 78884535 unique ideals
  89. Wed Dec 30 01:17:44 2020 reduce to 74883482 relations and 71813135 ideals in 9 passes
  90. Wed Dec 30 01:17:44 2020 max relations containing the same ideal: 136
  91. Wed Dec 30 01:18:41 2020 removing 8387846 relations and 6387846 ideals in 2000000 cliques
  92. Wed Dec 30 01:18:44 2020 commencing in-memory singleton removal
  93. Wed Dec 30 01:18:54 2020 begin with 66495636 relations and 71813135 unique ideals
  94. Wed Dec 30 01:20:18 2020 reduce to 65686747 relations and 64597706 ideals in 9 passes
  95. Wed Dec 30 01:20:18 2020 max relations containing the same ideal: 124
  96. Wed Dec 30 01:21:09 2020 removing 987751 relations and 847700 ideals in 140051 cliques
  97. Wed Dec 30 01:21:11 2020 commencing in-memory singleton removal
  98. Wed Dec 30 01:21:20 2020 begin with 64698996 relations and 64597706 unique ideals
  99. Wed Dec 30 01:22:15 2020 reduce to 64688298 relations and 63739282 ideals in 6 passes
  100. Wed Dec 30 01:22:15 2020 max relations containing the same ideal: 122
  101. Wed Dec 30 01:22:35 2020 relations with 0 large ideals: 30018
  102. Wed Dec 30 01:22:35 2020 relations with 1 large ideals: 6057
  103. Wed Dec 30 01:22:35 2020 relations with 2 large ideals: 94556
  104. Wed Dec 30 01:22:35 2020 relations with 3 large ideals: 761351
  105. Wed Dec 30 01:22:35 2020 relations with 4 large ideals: 3385077
  106. Wed Dec 30 01:22:35 2020 relations with 5 large ideals: 9130928
  107. Wed Dec 30 01:22:35 2020 relations with 6 large ideals: 15518300
  108. Wed Dec 30 01:22:35 2020 relations with 7+ large ideals: 35762011
  109. Wed Dec 30 01:22:35 2020 commencing 2-way merge
  110. Wed Dec 30 01:23:41 2020 reduce to 40774390 relation sets and 39825374 unique ideals
  111. Wed Dec 30 01:23:41 2020 commencing full merge
  112. Wed Dec 30 01:46:06 2020 memory use: 5164.6 MB
  113. Wed Dec 30 01:46:11 2020 found 18522098 cycles, need 18485574
  114. Wed Dec 30 01:46:19 2020 weight of 18485574 cycles is about 2070523325 (112.01/cycle)
  115. Wed Dec 30 01:46:19 2020 distribution of cycle lengths:
  116. Wed Dec 30 01:46:19 2020 1 relations: 1513914
  117. Wed Dec 30 01:46:19 2020 2 relations: 1475667
  118. Wed Dec 30 01:46:19 2020 3 relations: 1485011
  119. Wed Dec 30 01:46:19 2020 4 relations: 1414441
  120. Wed Dec 30 01:46:19 2020 5 relations: 1372693
  121. Wed Dec 30 01:46:19 2020 6 relations: 1314339
  122. Wed Dec 30 01:46:19 2020 7 relations: 1236331
  123. Wed Dec 30 01:46:19 2020 8 relations: 1163634
  124. Wed Dec 30 01:46:19 2020 9 relations: 1071074
  125. Wed Dec 30 01:46:19 2020 10+ relations: 6438470
  126. Wed Dec 30 01:46:19 2020 heaviest cycle: 28 relations
  127. Wed Dec 30 01:46:25 2020 commencing cycle optimization
  128. Wed Dec 30 01:47:13 2020 start with 149551749 relations
  129. Wed Dec 30 01:54:26 2020 pruned 5707399 relations
  130. Wed Dec 30 01:54:26 2020 memory use: 4194.2 MB
  131. Wed Dec 30 01:54:26 2020 distribution of cycle lengths:
  132. Wed Dec 30 01:54:26 2020 1 relations: 1513914
  133. Wed Dec 30 01:54:26 2020 2 relations: 1508948
  134. Wed Dec 30 01:54:26 2020 3 relations: 1540936
  135. Wed Dec 30 01:54:26 2020 4 relations: 1463723
  136. Wed Dec 30 01:54:26 2020 5 relations: 1429647
  137. Wed Dec 30 01:54:26 2020 6 relations: 1361332
  138. Wed Dec 30 01:54:26 2020 7 relations: 1284999
  139. Wed Dec 30 01:54:26 2020 8 relations: 1201104
  140. Wed Dec 30 01:54:26 2020 9 relations: 1102007
  141. Wed Dec 30 01:54:26 2020 10+ relations: 6078964
  142. Wed Dec 30 01:54:26 2020 heaviest cycle: 28 relations
  143. Wed Dec 30 01:55:22 2020 RelProcTime: 10519
  144. Wed Dec 30 01:55:22 2020 elapsed time 02:55:20
  145. Wed Dec 30 17:36:03 2020
  146. Wed Dec 30 17:36:03 2020
  147. Wed Dec 30 17:36:03 2020 Msieve v. 1.54 (SVN 1028)
  148. Wed Dec 30 17:36:03 2020 random seeds: 3b301696 3e61bbe0
  149. Wed Dec 30 17:36:03 2020 factoring 4131369515587192676362528757079579368807305934859326938049114968231369470843262921508452895911468140526348264535659298926897739697777898752107451119345204395690318786775682531183927772841271527078478846206994946986386654807109929889493977251313649 (247 digits)
  150. Wed Dec 30 17:36:05 2020 no P-1/P+1/ECM available, skipping
  151. Wed Dec 30 17:36:05 2020 commencing number field sieve (247-digit input)
  152. Wed Dec 30 17:36:05 2020 R0: 89202980794122492566142873090593446023921664
  153. Wed Dec 30 17:36:05 2020 R1: -1
  154. Wed Dec 30 17:36:05 2020 A0: -4
  155. Wed Dec 30 17:36:05 2020 A1: 0
  156. Wed Dec 30 17:36:05 2020 A2: 0
  157. Wed Dec 30 17:36:05 2020 A3: 0
  158. Wed Dec 30 17:36:05 2020 A4: 0
  159. Wed Dec 30 17:36:05 2020 A5: 0
  160. Wed Dec 30 17:36:05 2020 A6: 13
  161. Wed Dec 30 17:36:05 2020 skew 0.82, size 4.720e-13, alpha 1.244, combined = 6.565e-14 rroots = 2
  162. Wed Dec 30 17:36:05 2020
  163. Wed Dec 30 17:36:05 2020 commencing linear algebra
  164. Wed Dec 30 17:36:08 2020 read 18485574 cycles
  165. Wed Dec 30 17:37:00 2020 cycles contain 64075803 unique relations
  166. Wed Dec 30 17:47:13 2020 read 64075803 relations
  167. Wed Dec 30 17:50:09 2020 using 20 quadratic characters above 4294917295
  168. Wed Dec 30 17:56:59 2020 building initial matrix
  169. Wed Dec 30 18:15:51 2020 memory use: 7878.7 MB
  170. Wed Dec 30 18:16:05 2020 read 18485574 cycles
  171. Wed Dec 30 18:16:08 2020 matrix is 18485397 x 18485574 (8141.9 MB) with weight 2316511281 (125.31/col)
  172. Wed Dec 30 18:16:08 2020 sparse part has weight 1949493909 (105.46/col)
  173. Wed Dec 30 18:21:53 2020 filtering completed in 2 passes
  174. Wed Dec 30 18:21:57 2020 matrix is 18484783 x 18484959 (8141.9 MB) with weight 2316493132 (125.32/col)
  175. Wed Dec 30 18:21:57 2020 sparse part has weight 1949488789 (105.46/col)
  176. Wed Dec 30 18:23:23 2020 matrix starts at (0, 0)
  177. Wed Dec 30 18:23:26 2020 matrix is 18484783 x 18484959 (8141.9 MB) with weight 2316493132 (125.32/col)
  178. Wed Dec 30 18:23:26 2020 sparse part has weight 1949488789 (105.46/col)
  179. Wed Dec 30 18:23:26 2020 saving the first 112 matrix rows for later
  180. Wed Dec 30 18:23:32 2020 matrix includes 128 packed rows
  181. Wed Dec 30 18:23:38 2020 matrix is 18484671 x 18484959 (7646.5 MB) with weight 1870274529 (101.18/col)
  182. Wed Dec 30 18:23:38 2020 sparse part has weight 1782667952 (96.44/col)
  183. Wed Dec 30 18:23:38 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  184. Wed Dec 30 18:25:00 2020 commencing Lanczos iteration (6 threads)
  185. Wed Dec 30 18:25:00 2020 memory use: 8581.8 MB
  186. Wed Dec 30 18:26:48 2020 linear algebra at 0.0%, ETA 332h39m
  187. Wed Dec 30 18:27:21 2020 checkpointing every 60000 dimensions
  188. Thu Dec 31 11:35:34 2020 lanczos halted after 9140 iterations (dim = 1162988)
  189. Thu Dec 31 11:35:35 2020 BLanczosTime: 64770
  190. Thu Dec 31 11:35:35 2020
  191. Thu Dec 31 11:35:35 2020 commencing square root phase
  192. Thu Dec 31 11:35:35 2020 reading relations for dependency 1
  193. Thu Dec 31 11:35:35 2020 error: read_cycles can't open dependency file
  194. Thu Dec 31 13:31:53 2020
  195. Thu Dec 31 13:31:53 2020
  196. Thu Dec 31 13:31:53 2020 Msieve v. 1.54 (SVN 1028)
  197. Thu Dec 31 13:31:53 2020 random seeds: c0d82523 ccf3c18a
  198. Thu Dec 31 13:31:53 2020 factoring 4131369515587192676362528757079579368807305934859326938049114968231369470843262921508452895911468140526348264535659298926897739697777898752107451119345204395690318786775682531183927772841271527078478846206994946986386654807109929889493977251313649 (247 digits)
  199. Thu Dec 31 13:31:54 2020 no P-1/P+1/ECM available, skipping
  200. Thu Dec 31 13:31:54 2020 commencing number field sieve (247-digit input)
  201. Thu Dec 31 13:31:54 2020 R0: 89202980794122492566142873090593446023921664
  202. Thu Dec 31 13:31:54 2020 R1: -1
  203. Thu Dec 31 13:31:54 2020 A0: -4
  204. Thu Dec 31 13:31:54 2020 A1: 0
  205. Thu Dec 31 13:31:54 2020 A2: 0
  206. Thu Dec 31 13:31:54 2020 A3: 0
  207. Thu Dec 31 13:31:54 2020 A4: 0
  208. Thu Dec 31 13:31:54 2020 A5: 0
  209. Thu Dec 31 13:31:54 2020 A6: 13
  210. Thu Dec 31 13:31:54 2020 skew 0.82, size 4.720e-13, alpha 1.244, combined = 6.565e-14 rroots = 2
  211. Thu Dec 31 13:31:54 2020
  212. Thu Dec 31 13:31:54 2020 commencing linear algebra
  213. Thu Dec 31 13:32:02 2020 matrix starts at (0, 0)
  214. Thu Dec 31 13:32:04 2020 matrix is 18484783 x 18484959 (8141.9 MB) with weight 2316493132 (125.32/col)
  215. Thu Dec 31 13:32:04 2020 sparse part has weight 1949488789 (105.46/col)
  216. Thu Dec 31 13:32:04 2020 saving the first 112 matrix rows for later
  217. Thu Dec 31 13:32:08 2020 matrix includes 128 packed rows
  218. Thu Dec 31 13:32:13 2020 matrix is 18484671 x 18484959 (7646.5 MB) with weight 1870274529 (101.18/col)
  219. Thu Dec 31 13:32:13 2020 sparse part has weight 1782667952 (96.44/col)
  220. Thu Dec 31 13:32:13 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  221. Thu Dec 31 13:33:21 2020 commencing Lanczos iteration (6 threads)
  222. Thu Dec 31 13:33:21 2020 memory use: 8581.8 MB
  223. Thu Dec 31 13:33:22 2020 restarting at iteration 9140 (dim = 1162988)
  224. Thu Dec 31 13:33:58 2020 checkpointing every 110000 dimensions
  225. Thu Dec 31 13:34:16 2020 linear algebra at 6.3%, ETA 170h15m
  226. Sun Jan 10 06:33:24 2021 lanczos halted after 145280 iterations (dim = 18484664)
  227. Sun Jan 10 06:34:28 2021 recovered 32 nontrivial dependencies
  228. Sun Jan 10 06:34:29 2021 BLanczosTime: 838955
  229. Sun Jan 10 06:34:29 2021
  230. Sun Jan 10 06:34:29 2021 commencing square root phase
  231. Sun Jan 10 06:34:29 2021 reading relations for dependency 1
  232. Sun Jan 10 06:34:31 2021 read 9240588 cycles
  233. Sun Jan 10 06:34:51 2021 cycles contain 32031600 unique relations
  234. Sun Jan 10 06:38:28 2021 read 32031600 relations
  235. Sun Jan 10 06:41:24 2021 multiplying 32031600 relations
  236. Sun Jan 10 07:08:03 2021 multiply complete, coefficients have about 946.55 million bits
  237. Sun Jan 10 07:08:06 2021 initial square root is modulo 310443229
  238. Sun Jan 10 07:36:57 2021 found factor: 18257764352951656614975495917500821791055843095793735644346541
  239. Sun Jan 10 07:36:57 2021 reading relations for dependency 2
  240. Sun Jan 10 07:37:00 2021 read 9241067 cycles
  241. Sun Jan 10 07:37:19 2021 cycles contain 32041312 unique relations
  242. Sun Jan 10 07:40:57 2021 read 32041312 relations
  243. Sun Jan 10 07:43:52 2021 multiplying 32041312 relations
  244. Sun Jan 10 08:10:52 2021 multiply complete, coefficients have about 946.83 million bits
  245. Sun Jan 10 08:10:56 2021 initial square root is modulo 312259147
  246. Sun Jan 10 08:44:22 2021 GCD is 1, no factor found
  247. Sun Jan 10 08:44:22 2021 reading relations for dependency 3
  248. Sun Jan 10 08:44:26 2021 read 9242217 cycles
  249. Sun Jan 10 08:44:56 2021 cycles contain 32032096 unique relations
  250. Sun Jan 10 08:50:36 2021 read 32032096 relations
  251. Sun Jan 10 08:55:06 2021 multiplying 32032096 relations
  252. Sun Jan 10 09:41:17 2021 multiply complete, coefficients have about 946.57 million bits
  253. Sun Jan 10 09:41:22 2021 initial square root is modulo 310545649
  254. Sun Jan 10 10:25:57 2021 sqrtTime: 13888
  255. Sun Jan 10 10:25:57 2021 p59 factor: 41217993900285821944501095763394954602048356671128098955757
  256. Sun Jan 10 10:25:57 2021 p62 factor: 18257764352951656614975495917500821791055843095793735644346541
  257. Sun Jan 10 10:25:57 2021 p127 factor: 5489838802736417459224480079773719389000968678347967321260807654615591259266076453122160819909895238030857052843064734045891977
  258. Sun Jan 10 10:25:57 2021 elapsed time 236:54:04
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