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Dec 22nd, 2020
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  1. Sat Nov 28 13:20:29 2020
  2. Sat Nov 28 13:20:29 2020
  3. Sat Nov 28 13:20:29 2020 Msieve v. 1.54 (SVN 1028)
  4. Sat Nov 28 13:20:29 2020 random seeds: d3413f3a 27405196
  5. Sat Nov 28 13:20:29 2020 factoring 1398516542119091547927880887727114963659389509804105922692120268647401334715710534035357328326678677296622476655524803463753551464210096969080964891534065442657109752753516921412646600842893476177 (196 digits)
  6. Sat Nov 28 13:20:31 2020 no P-1/P+1/ECM available, skipping
  7. Sat Nov 28 13:20:31 2020 commencing number field sieve (196-digit input)
  8. Sat Nov 28 13:20:31 2020 R0: -67399847496998630851429653894088679427
  9. Sat Nov 28 13:20:31 2020 R1: 125291089571292601013129
  10. Sat Nov 28 13:20:31 2020 A0: -24623140536189314142763591449244095867976653480
  11. Sat Nov 28 13:20:31 2020 A1: 1591604144502435503327811672315382999292
  12. Sat Nov 28 13:20:31 2020 A2: 45151115187254052425427334115817
  13. Sat Nov 28 13:20:31 2020 A3: -227121374773875476420597
  14. Sat Nov 28 13:20:31 2020 A4: -2975093123155512
  15. Sat Nov 28 13:20:31 2020 A5: 6032880
  16. Sat Nov 28 13:20:31 2020 skew 125001952.15, size 4.216e-19, alpha -8.013, combined = 1.030e-14 rroots = 5
  17. Sat Nov 28 13:20:31 2020
  18. Sat Nov 28 13:20:31 2020 commencing relation filtering
  19. Sat Nov 28 13:20:31 2020 setting target matrix density to 124.0
  20. Sat Nov 28 13:20:31 2020 estimated available RAM is 128853.5 MB
  21. Sat Nov 28 13:20:31 2020 commencing duplicate removal, pass 1
  22. Sat Nov 28 13:23:11 2020
  23. Sat Nov 28 13:23:11 2020
  24. Sat Nov 28 13:23:11 2020 Msieve v. 1.54 (SVN 1028)
  25. Sat Nov 28 13:23:11 2020 random seeds: 0e125cbf 56c9db85
  26. Sat Nov 28 13:23:11 2020 factoring 1398516542119091547927880887727114963659389509804105922692120268647401334715710534035357328326678677296622476655524803463753551464210096969080964891534065442657109752753516921412646600842893476177 (196 digits)
  27. Sat Nov 28 13:23:13 2020 no P-1/P+1/ECM available, skipping
  28. Sat Nov 28 13:23:13 2020 commencing number field sieve (196-digit input)
  29. Sat Nov 28 13:23:13 2020 R0: -67399847496998630851429653894088679427
  30. Sat Nov 28 13:23:13 2020 R1: 125291089571292601013129
  31. Sat Nov 28 13:23:13 2020 A0: -24623140536189314142763591449244095867976653480
  32. Sat Nov 28 13:23:13 2020 A1: 1591604144502435503327811672315382999292
  33. Sat Nov 28 13:23:13 2020 A2: 45151115187254052425427334115817
  34. Sat Nov 28 13:23:13 2020 A3: -227121374773875476420597
  35. Sat Nov 28 13:23:13 2020 A4: -2975093123155512
  36. Sat Nov 28 13:23:13 2020 A5: 6032880
  37. Sat Nov 28 13:23:13 2020 skew 125001952.15, size 4.216e-19, alpha -8.013, combined = 1.030e-14 rroots = 5
  38. Sat Nov 28 13:23:13 2020
  39. Sat Nov 28 13:23:13 2020 commencing relation filtering
  40. Sat Nov 28 13:23:13 2020 setting target matrix density to 124.0
  41. Sat Nov 28 13:23:13 2020 estimated available RAM is 128853.5 MB
  42. Sat Nov 28 13:23:13 2020 commencing duplicate removal, pass 1
  43. Sat Nov 28 14:27:52 2020 error -1 reading relation 258100342
  44. Sat Nov 28 14:32:07 2020 error -15 reading relation 274857466
  45. Sat Nov 28 14:35:40 2020 error -11 reading relation 288921873
  46. Sat Nov 28 14:51:37 2020 error -11 reading relation 351856432
  47. Sat Nov 28 14:57:51 2020 error -6 reading relation 376628900
  48. Sat Nov 28 14:59:25 2020 error -15 reading relation 382846981
  49. Sat Nov 28 15:04:53 2020 error -11 reading relation 404627134
  50. Sat Nov 28 15:16:24 2020 error -11 reading relation 450995851
  51. Sat Nov 28 15:16:24 2020 error -11 reading relation 450995852
  52. Sat Nov 28 15:18:38 2020 error -11 reading relation 459871060
  53. Sat Nov 28 15:24:28 2020 skipped 6 relations with composite factors
  54. Sat Nov 28 15:24:28 2020 found 47009407 hash collisions in 483004804 relations
  55. Sat Nov 28 15:25:19 2020 added 121937 free relations
  56. Sat Nov 28 15:25:19 2020 commencing duplicate removal, pass 2
  57. Sat Nov 28 15:30:58 2020 found 38 duplicates and 483126703 unique relations
  58. Sat Nov 28 15:30:58 2020 memory use: 2259.0 MB
  59. Sat Nov 28 15:30:58 2020 reading ideals above 720000
  60. Sat Nov 28 15:30:58 2020 commencing singleton removal, initial pass
  61. Sat Nov 28 17:56:59 2020 memory use: 11024.0 MB
  62. Sat Nov 28 17:57:00 2020 reading all ideals from disk
  63. Sat Nov 28 17:57:31 2020 memory use: 21155.9 MB
  64. Sat Nov 28 18:00:27 2020 keeping 479024148 ideals with weight <= 200, target excess is 2538917
  65. Sat Nov 28 18:03:41 2020 commencing in-memory singleton removal
  66. Sat Nov 28 18:05:47 2020 begin with 483126703 relations and 479024148 unique ideals
  67. Sat Nov 28 18:39:10 2020 reduce to 274962810 relations and 246908844 ideals in 17 passes
  68. Sat Nov 28 18:39:10 2020 max relations containing the same ideal: 147
  69. Sat Nov 28 18:44:41 2020 removing 17076394 relations and 15076395 ideals in 2000000 cliques
  70. Sat Nov 28 18:44:52 2020 commencing in-memory singleton removal
  71. Sat Nov 28 18:45:53 2020 begin with 257886416 relations and 246908844 unique ideals
  72. Sat Nov 28 18:55:05 2020 reduce to 257001383 relations and 230938242 ideals in 9 passes
  73. Sat Nov 28 18:55:05 2020 max relations containing the same ideal: 140
  74. Sat Nov 28 18:57:42 2020 removing 12800176 relations and 10800176 ideals in 2000000 cliques
  75. Sat Nov 28 18:57:49 2020 commencing in-memory singleton removal
  76. Sat Nov 28 18:58:17 2020 begin with 244201207 relations and 230938242 unique ideals
  77. Sat Nov 28 19:03:54 2020 reduce to 243648803 relations and 219580803 ideals in 8 passes
  78. Sat Nov 28 19:03:54 2020 max relations containing the same ideal: 139
  79. Sat Nov 28 19:06:32 2020 removing 11478422 relations and 9478422 ideals in 2000000 cliques
  80. Sat Nov 28 19:06:40 2020 commencing in-memory singleton removal
  81. Sat Nov 28 19:07:09 2020 begin with 232170381 relations and 219580803 unique ideals
  82. Sat Nov 28 19:11:26 2020 reduce to 231698133 relations and 209626161 ideals in 8 passes
  83. Sat Nov 28 19:11:26 2020 max relations containing the same ideal: 132
  84. Sat Nov 28 19:13:58 2020 removing 10767962 relations and 8767962 ideals in 2000000 cliques
  85. Sat Nov 28 19:14:06 2020 commencing in-memory singleton removal
  86. Sat Nov 28 19:14:33 2020 begin with 220930171 relations and 209626161 unique ideals
  87. Sat Nov 28 19:19:18 2020 reduce to 220491806 relations and 200416142 ideals in 8 passes
  88. Sat Nov 28 19:19:18 2020 max relations containing the same ideal: 128
  89. Sat Nov 28 19:21:28 2020 removing 10319717 relations and 8319717 ideals in 2000000 cliques
  90. Sat Nov 28 19:21:33 2020 commencing in-memory singleton removal
  91. Sat Nov 28 19:21:57 2020 begin with 210172089 relations and 200416142 unique ideals
  92. Sat Nov 28 19:26:08 2020 reduce to 209749335 relations and 191670062 ideals in 8 passes
  93. Sat Nov 28 19:26:08 2020 max relations containing the same ideal: 123
  94. Sat Nov 28 19:28:34 2020 removing 10016128 relations and 8016128 ideals in 2000000 cliques
  95. Sat Nov 28 19:28:41 2020 commencing in-memory singleton removal
  96. Sat Nov 28 19:29:08 2020 begin with 199733207 relations and 191670062 unique ideals
  97. Sat Nov 28 19:34:21 2020 reduce to 199315189 relations and 183232245 ideals in 8 passes
  98. Sat Nov 28 19:34:21 2020 max relations containing the same ideal: 120
  99. Sat Nov 28 19:36:36 2020 removing 9809538 relations and 7809538 ideals in 2000000 cliques
  100. Sat Nov 28 19:36:43 2020 commencing in-memory singleton removal
  101. Sat Nov 28 19:37:07 2020 begin with 189505651 relations and 183232245 unique ideals
  102. Sat Nov 28 19:41:01 2020 reduce to 189083093 relations and 174996240 ideals in 8 passes
  103. Sat Nov 28 19:41:01 2020 max relations containing the same ideal: 115
  104. Sat Nov 28 19:43:03 2020 removing 9662606 relations and 7662606 ideals in 2000000 cliques
  105. Sat Nov 28 19:43:09 2020 commencing in-memory singleton removal
  106. Sat Nov 28 19:43:29 2020 begin with 179420487 relations and 174996240 unique ideals
  107. Sat Nov 28 19:46:12 2020 reduce to 178989545 relations and 166898705 ideals in 8 passes
  108. Sat Nov 28 19:46:12 2020 max relations containing the same ideal: 110
  109. Sat Nov 28 19:47:58 2020 removing 9572057 relations and 7572057 ideals in 2000000 cliques
  110. Sat Nov 28 19:48:02 2020 commencing in-memory singleton removal
  111. Sat Nov 28 19:48:20 2020 begin with 169417488 relations and 166898705 unique ideals
  112. Sat Nov 28 19:50:49 2020 reduce to 168970946 relations and 158875547 ideals in 8 passes
  113. Sat Nov 28 19:50:49 2020 max relations containing the same ideal: 105
  114. Sat Nov 28 19:52:27 2020 removing 9523761 relations and 7523761 ideals in 2000000 cliques
  115. Sat Nov 28 19:52:31 2020 commencing in-memory singleton removal
  116. Sat Nov 28 19:52:48 2020 begin with 159447185 relations and 158875547 unique ideals
  117. Sat Nov 28 19:55:08 2020 reduce to 158976966 relations and 150876712 ideals in 8 passes
  118. Sat Nov 28 19:55:08 2020 max relations containing the same ideal: 102
  119. Sat Nov 28 19:56:41 2020 removing 9515372 relations and 7515372 ideals in 2000000 cliques
  120. Sat Nov 28 19:56:45 2020 commencing in-memory singleton removal
  121. Sat Nov 28 19:57:02 2020 begin with 149461594 relations and 150876712 unique ideals
  122. Sat Nov 28 19:59:32 2020 reduce to 148960543 relations and 142854814 ideals in 9 passes
  123. Sat Nov 28 19:59:32 2020 max relations containing the same ideal: 96
  124. Sat Nov 28 20:01:12 2020 removing 9542125 relations and 7542125 ideals in 2000000 cliques
  125. Sat Nov 28 20:01:18 2020 commencing in-memory singleton removal
  126. Sat Nov 28 20:01:35 2020 begin with 139418418 relations and 142854814 unique ideals
  127. Sat Nov 28 20:05:00 2020 reduce to 138881887 relations and 134769835 ideals in 8 passes
  128. Sat Nov 28 20:05:00 2020 max relations containing the same ideal: 94
  129. Sat Nov 28 20:06:36 2020 removing 6216340 relations and 5049432 ideals in 1166908 cliques
  130. Sat Nov 28 20:06:41 2020 commencing in-memory singleton removal
  131. Sat Nov 28 20:06:57 2020 begin with 132665547 relations and 134769835 unique ideals
  132. Sat Nov 28 20:10:37 2020 reduce to 132432673 relations and 129485814 ideals in 9 passes
  133. Sat Nov 28 20:10:37 2020 max relations containing the same ideal: 89
  134. Sat Nov 28 20:12:36 2020 relations with 0 large ideals: 7458
  135. Sat Nov 28 20:12:36 2020 relations with 1 large ideals: 39898
  136. Sat Nov 28 20:12:36 2020 relations with 2 large ideals: 545137
  137. Sat Nov 28 20:12:36 2020 relations with 3 large ideals: 3573831
  138. Sat Nov 28 20:12:36 2020 relations with 4 large ideals: 12816821
  139. Sat Nov 28 20:12:36 2020 relations with 5 large ideals: 27428203
  140. Sat Nov 28 20:12:36 2020 relations with 6 large ideals: 36399598
  141. Sat Nov 28 20:12:36 2020 relations with 7+ large ideals: 51621727
  142. Sat Nov 28 20:12:36 2020 commencing 2-way merge
  143. Sat Nov 28 20:14:45 2020 reduce to 82006179 relation sets and 79059320 unique ideals
  144. Sat Nov 28 20:14:45 2020 commencing full merge
  145. Sat Nov 28 20:51:13 2020 memory use: 9385.9 MB
  146. Sat Nov 28 20:51:28 2020 found 36095378 cycles, need 35911520
  147. Sat Nov 28 20:51:46 2020 weight of 35911520 cycles is about 4453611006 (124.02/cycle)
  148. Sat Nov 28 20:51:46 2020 distribution of cycle lengths:
  149. Sat Nov 28 20:51:46 2020 1 relations: 2837083
  150. Sat Nov 28 20:51:46 2020 2 relations: 2722875
  151. Sat Nov 28 20:51:46 2020 3 relations: 2801247
  152. Sat Nov 28 20:51:46 2020 4 relations: 2692168
  153. Sat Nov 28 20:51:46 2020 5 relations: 2619291
  154. Sat Nov 28 20:51:46 2020 6 relations: 2510398
  155. Sat Nov 28 20:51:46 2020 7 relations: 2341068
  156. Sat Nov 28 20:51:46 2020 8 relations: 2219119
  157. Sat Nov 28 20:51:46 2020 9 relations: 2054477
  158. Sat Nov 28 20:51:46 2020 10+ relations: 13113794
  159. Sat Nov 28 20:51:46 2020 heaviest cycle: 28 relations
  160. Sat Nov 28 20:51:59 2020 commencing cycle optimization
  161. Sat Nov 28 20:53:50 2020 start with 297894751 relations
  162. Sat Nov 28 21:08:43 2020 pruned 11122368 relations
  163. Sat Nov 28 21:08:43 2020 memory use: 8451.9 MB
  164. Sat Nov 28 21:08:43 2020 distribution of cycle lengths:
  165. Sat Nov 28 21:08:43 2020 1 relations: 2837083
  166. Sat Nov 28 21:08:43 2020 2 relations: 2796045
  167. Sat Nov 28 21:08:43 2020 3 relations: 2916011
  168. Sat Nov 28 21:08:43 2020 4 relations: 2787695
  169. Sat Nov 28 21:08:43 2020 5 relations: 2725425
  170. Sat Nov 28 21:08:43 2020 6 relations: 2595891
  171. Sat Nov 28 21:08:43 2020 7 relations: 2426975
  172. Sat Nov 28 21:08:43 2020 8 relations: 2284075
  173. Sat Nov 28 21:08:43 2020 9 relations: 2112008
  174. Sat Nov 28 21:08:43 2020 10+ relations: 12430312
  175. Sat Nov 28 21:08:43 2020 heaviest cycle: 28 relations
  176. Sat Nov 28 21:10:14 2020 RelProcTime: 28021
  177. Sat Nov 28 21:10:14 2020
  178. Sat Nov 28 21:10:14 2020 commencing linear algebra
  179. Sat Nov 28 21:10:20 2020 read 35911520 cycles
  180. Sat Nov 28 21:12:03 2020 cycles contain 130464305 unique relations
  181. Sat Nov 28 21:32:54 2020 read 130464305 relations
  182. Sat Nov 28 21:38:50 2020 using 20 quadratic characters above 4294917295
  183. Sat Nov 28 21:49:00 2020 building initial matrix
  184. Sat Nov 28 22:25:16 2020 memory use: 18248.4 MB
  185. Sat Nov 28 22:25:41 2020 read 35911520 cycles
  186. Sat Nov 28 22:25:49 2020 matrix is 35911341 x 35911520 (17607.3 MB) with weight 5313289773 (147.96/col)
  187. Sat Nov 28 22:25:49 2020 sparse part has weight 4184721101 (116.53/col)
  188. Sat Nov 28 22:37:57 2020 filtering completed in 2 passes
  189. Sat Nov 28 22:38:07 2020 matrix is 35907955 x 35908134 (17607.0 MB) with weight 5313128863 (147.96/col)
  190. Sat Nov 28 22:38:07 2020 sparse part has weight 4184673728 (116.54/col)
  191. Sat Nov 28 22:40:35 2020 matrix starts at (0, 0)
  192. Sat Nov 28 22:40:47 2020 matrix is 35907955 x 35908134 (17607.0 MB) with weight 5313128863 (147.96/col)
  193. Sat Nov 28 22:40:47 2020 sparse part has weight 4184673728 (116.54/col)
  194. Sat Nov 28 22:40:47 2020 saving the first 112 matrix rows for later
  195. Sat Nov 28 22:41:01 2020 matrix includes 128 packed rows
  196. Sat Nov 28 22:41:17 2020 matrix is 35907843 x 35908134 (16319.3 MB) with weight 4140693927 (115.31/col)
  197. Sat Nov 28 22:41:17 2020 sparse part has weight 3847099189 (107.14/col)
  198. Sat Nov 28 22:41:17 2020 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  199. Sat Nov 28 22:45:13 2020 commencing Lanczos iteration (10 threads)
  200. Sat Nov 28 22:45:13 2020 memory use: 18070.4 MB
  201. Sat Nov 28 22:47:48 2020 linear algebra at 0.0%, ETA 914h27m
  202. Sat Nov 28 22:48:24 2020 checkpointing every 50000 dimensions
  203. Mon Dec 21 17:45:00 2020 lanczos halted after 282211 iterations (dim = 35907842)
  204. Mon Dec 21 17:46:04 2020 recovered 30 nontrivial dependencies
  205. Mon Dec 21 17:46:08 2020 BLanczosTime: 1974954
  206. Mon Dec 21 17:46:08 2020
  207. Mon Dec 21 17:46:08 2020 commencing square root phase
  208. Mon Dec 21 17:46:08 2020 handling dependencies 1 to 64
  209. Mon Dec 21 17:46:08 2020 reading relations for dependency 1
  210. Mon Dec 21 17:46:13 2020 read 17952626 cycles
  211. Mon Dec 21 17:46:48 2020 cycles contain 65235936 unique relations
  212. Mon Dec 21 17:53:23 2020 read 65235936 relations
  213. Mon Dec 21 17:58:55 2020 multiplying 65235936 relations
  214. Mon Dec 21 19:34:23 2020 multiply complete, coefficients have about 4205.23 million bits
  215. Mon Dec 21 19:34:42 2020 initial square root is modulo 2702130181
  216. Mon Dec 21 21:13:44 2020 sqrtTime: 12456
  217. Mon Dec 21 21:13:44 2020 p71 factor: 18437836149618370434281620971869325865705306903528887274585655227576391
  218. Mon Dec 21 21:13:44 2020 p125 factor: 75850361765365741605637348986331036062471006912738915817734014124420263971333307633217450014316434148733029960124938048103847
  219. Mon Dec 21 21:13:44 2020 elapsed time 559:50:33
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