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Nov 17th, 2021
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  1. Tue Nov 16 19:21:26 2021
  2. Tue Nov 16 19:21:26 2021
  3. Tue Nov 16 19:21:26 2021 Msieve v. 1.54 (SVN 1043M)
  4. Tue Nov 16 19:21:26 2021 random seeds: fbfecceb a538badc
  5. Tue Nov 16 19:21:26 2021 factoring 7147899195279076005126628539754280064346946453412379189519824669359603847180966162236261056367430639886117774702656241878940665411756142451546604262530551006287 (160 digits)
  6. Tue Nov 16 19:21:27 2021 searching for 15-digit factors
  7. Tue Nov 16 19:21:27 2021 commencing number field sieve (160-digit input)
  8. Tue Nov 16 19:21:27 2021 R0: -35892145829078601856632218857329
  9. Tue Nov 16 19:21:27 2021 R1: 66002327228495723
  10. Tue Nov 16 19:21:27 2021 A0: 104777786762760223299872473905044429299760
  11. Tue Nov 16 19:21:27 2021 A1: 16875649516643952940668249495488548
  12. Tue Nov 16 19:21:27 2021 A2: -24127128300196636843374592
  13. Tue Nov 16 19:21:27 2021 A3: -15496623762132245911
  14. Tue Nov 16 19:21:27 2021 A4: 8270171990
  15. Tue Nov 16 19:21:27 2021 A5: 120
  16. Tue Nov 16 19:21:27 2021 skew 97406052.37, size 1.619e-15, alpha -7.422, combined = 1.506e-12 rroots = 5
  17. Tue Nov 16 19:21:27 2021
  18. Tue Nov 16 19:21:27 2021 commencing relation filtering
  19. Tue Nov 16 19:21:27 2021 setting target matrix density to 140.0
  20. Tue Nov 16 19:21:27 2021 estimated available RAM is 31368.2 MB
  21. Tue Nov 16 19:21:27 2021 commencing duplicate removal, pass 1
  22. Tue Nov 16 20:03:09 2021 skipped 50 relations with b > 2^32
  23. Tue Nov 16 20:03:09 2021 skipped 552 relations with composite factors
  24. Tue Nov 16 20:03:09 2021 found 28303123 hash collisions in 146449686 relations
  25. Tue Nov 16 20:03:48 2021 added 121784 free relations
  26. Tue Nov 16 20:03:48 2021 commencing duplicate removal, pass 2
  27. Tue Nov 16 20:25:12 2021 found 28798101 duplicates and 117773369 unique relations
  28. Tue Nov 16 20:25:12 2021 memory use: 852.8 MB
  29. Tue Nov 16 20:25:12 2021 reading ideals above 720000
  30. Tue Nov 16 20:25:12 2021 commencing singleton removal, initial pass
  31. Tue Nov 16 21:03:06 2021 memory use: 2756.0 MB
  32. Tue Nov 16 21:03:06 2021 reading all ideals from disk
  33. Tue Nov 16 21:05:34 2021 memory use: 4353.5 MB
  34. Tue Nov 16 21:05:48 2021 keeping 93817286 ideals with weight <= 200, target excess is 613346
  35. Tue Nov 16 21:06:06 2021 commencing in-memory singleton removal
  36. Tue Nov 16 21:06:17 2021 begin with 117773369 relations and 93817286 unique ideals
  37. Tue Nov 16 21:08:54 2021 reduce to 88487957 relations and 62320998 ideals in 11 passes
  38. Tue Nov 16 21:08:54 2021 max relations containing the same ideal: 175
  39. Tue Nov 16 21:09:41 2021 removing 7522063 relations and 5522063 ideals in 2000000 cliques
  40. Tue Nov 16 21:09:46 2021 commencing in-memory singleton removal
  41. Tue Nov 16 21:09:54 2021 begin with 80965894 relations and 62320998 unique ideals
  42. Tue Nov 16 21:11:17 2021 reduce to 80451033 relations and 56269743 ideals in 7 passes
  43. Tue Nov 16 21:11:17 2021 max relations containing the same ideal: 167
  44. Tue Nov 16 21:11:58 2021 removing 6026740 relations and 4026740 ideals in 2000000 cliques
  45. Tue Nov 16 21:12:04 2021 commencing in-memory singleton removal
  46. Tue Nov 16 21:12:11 2021 begin with 74424293 relations and 56269743 unique ideals
  47. Tue Nov 16 21:13:24 2021 reduce to 74079716 relations and 51889900 ideals in 7 passes
  48. Tue Nov 16 21:13:24 2021 max relations containing the same ideal: 163
  49. Tue Nov 16 21:14:02 2021 removing 5637933 relations and 3637933 ideals in 2000000 cliques
  50. Tue Nov 16 21:14:06 2021 commencing in-memory singleton removal
  51. Tue Nov 16 21:14:13 2021 begin with 68441783 relations and 51889900 unique ideals
  52. Tue Nov 16 21:15:12 2021 reduce to 68143128 relations and 47945753 ideals in 6 passes
  53. Tue Nov 16 21:15:12 2021 max relations containing the same ideal: 152
  54. Tue Nov 16 21:15:50 2021 removing 5430926 relations and 3430926 ideals in 2000000 cliques
  55. Tue Nov 16 21:15:54 2021 commencing in-memory singleton removal
  56. Tue Nov 16 21:16:00 2021 begin with 62712202 relations and 47945753 unique ideals
  57. Tue Nov 16 21:16:49 2021 reduce to 62433823 relations and 44229126 ideals in 6 passes
  58. Tue Nov 16 21:16:49 2021 max relations containing the same ideal: 142
  59. Tue Nov 16 21:17:22 2021 removing 5299763 relations and 3299763 ideals in 2000000 cliques
  60. Tue Nov 16 21:17:25 2021 commencing in-memory singleton removal
  61. Tue Nov 16 21:17:31 2021 begin with 57134060 relations and 44229126 unique ideals
  62. Tue Nov 16 21:18:12 2021 reduce to 56862514 relations and 40650155 ideals in 6 passes
  63. Tue Nov 16 21:18:12 2021 max relations containing the same ideal: 134
  64. Tue Nov 16 21:18:40 2021 removing 5206724 relations and 3206724 ideals in 2000000 cliques
  65. Tue Nov 16 21:18:44 2021 commencing in-memory singleton removal
  66. Tue Nov 16 21:18:48 2021 begin with 51655790 relations and 40650155 unique ideals
  67. Tue Nov 16 21:19:26 2021 reduce to 51382252 relations and 37161788 ideals in 6 passes
  68. Tue Nov 16 21:19:26 2021 max relations containing the same ideal: 124
  69. Tue Nov 16 21:19:52 2021 removing 5144217 relations and 3144217 ideals in 2000000 cliques
  70. Tue Nov 16 21:19:56 2021 commencing in-memory singleton removal
  71. Tue Nov 16 21:20:00 2021 begin with 46238035 relations and 37161788 unique ideals
  72. Tue Nov 16 21:20:36 2021 reduce to 45952943 relations and 33723431 ideals in 6 passes
  73. Tue Nov 16 21:20:36 2021 max relations containing the same ideal: 114
  74. Tue Nov 16 21:20:59 2021 removing 5097341 relations and 3097341 ideals in 2000000 cliques
  75. Tue Nov 16 21:21:03 2021 commencing in-memory singleton removal
  76. Tue Nov 16 21:21:06 2021 begin with 40855602 relations and 33723431 unique ideals
  77. Tue Nov 16 21:21:37 2021 reduce to 40556086 relations and 30315739 ideals in 6 passes
  78. Tue Nov 16 21:21:37 2021 max relations containing the same ideal: 105
  79. Tue Nov 16 21:21:59 2021 removing 5067435 relations and 3067435 ideals in 2000000 cliques
  80. Tue Nov 16 21:22:02 2021 commencing in-memory singleton removal
  81. Tue Nov 16 21:22:05 2021 begin with 35488651 relations and 30315739 unique ideals
  82. Tue Nov 16 21:22:31 2021 reduce to 35160152 relations and 26906690 ideals in 6 passes
  83. Tue Nov 16 21:22:31 2021 max relations containing the same ideal: 93
  84. Tue Nov 16 21:22:51 2021 removing 5051690 relations and 3051690 ideals in 2000000 cliques
  85. Tue Nov 16 21:22:54 2021 commencing in-memory singleton removal
  86. Tue Nov 16 21:22:56 2021 begin with 30108462 relations and 26906690 unique ideals
  87. Tue Nov 16 21:23:20 2021 reduce to 29740600 relations and 23470634 ideals in 7 passes
  88. Tue Nov 16 21:23:20 2021 max relations containing the same ideal: 82
  89. Tue Nov 16 21:23:36 2021 removing 5043228 relations and 3043228 ideals in 2000000 cliques
  90. Tue Nov 16 21:23:38 2021 commencing in-memory singleton removal
  91. Tue Nov 16 21:23:40 2021 begin with 24697372 relations and 23470634 unique ideals
  92. Tue Nov 16 21:24:00 2021 reduce to 24267976 relations and 19975435 ideals in 7 passes
  93. Tue Nov 16 21:24:00 2021 max relations containing the same ideal: 73
  94. Tue Nov 16 21:24:13 2021 removing 5049682 relations and 3049682 ideals in 2000000 cliques
  95. Tue Nov 16 21:24:16 2021 commencing in-memory singleton removal
  96. Tue Nov 16 21:24:17 2021 begin with 19218294 relations and 19975435 unique ideals
  97. Tue Nov 16 21:24:34 2021 reduce to 18690785 relations and 16364233 ideals in 8 passes
  98. Tue Nov 16 21:24:34 2021 max relations containing the same ideal: 61
  99. Tue Nov 16 21:24:45 2021 removing 4198580 relations and 2583510 ideals in 1615070 cliques
  100. Tue Nov 16 21:24:46 2021 commencing in-memory singleton removal
  101. Tue Nov 16 21:24:47 2021 begin with 14492205 relations and 16364233 unique ideals
  102. Tue Nov 16 21:24:57 2021 reduce to 13941470 relations and 13190813 ideals in 8 passes
  103. Tue Nov 16 21:24:57 2021 max relations containing the same ideal: 50
  104. Tue Nov 16 21:25:04 2021 removing 203310 relations and 164135 ideals in 39175 cliques
  105. Tue Nov 16 21:25:05 2021 commencing in-memory singleton removal
  106. Tue Nov 16 21:25:05 2021 begin with 13738160 relations and 13190813 unique ideals
  107. Tue Nov 16 21:25:13 2021 reduce to 13735365 relations and 13023870 ideals in 5 passes
  108. Tue Nov 16 21:25:13 2021 max relations containing the same ideal: 50
  109. Tue Nov 16 21:25:16 2021 relations with 0 large ideals: 2031
  110. Tue Nov 16 21:25:16 2021 relations with 1 large ideals: 22307
  111. Tue Nov 16 21:25:16 2021 relations with 2 large ideals: 256495
  112. Tue Nov 16 21:25:16 2021 relations with 3 large ideals: 1183025
  113. Tue Nov 16 21:25:16 2021 relations with 4 large ideals: 2797730
  114. Tue Nov 16 21:25:16 2021 relations with 5 large ideals: 3821514
  115. Tue Nov 16 21:25:16 2021 relations with 6 large ideals: 3241828
  116. Tue Nov 16 21:25:16 2021 relations with 7+ large ideals: 2410435
  117. Tue Nov 16 21:25:16 2021 commencing 2-way merge
  118. Tue Nov 16 21:25:25 2021 reduce to 9584693 relation sets and 8873198 unique ideals
  119. Tue Nov 16 21:25:25 2021 commencing full merge
  120. Tue Nov 16 21:29:33 2021 memory use: 1082.9 MB
  121. Tue Nov 16 21:29:34 2021 found 4060836 cycles, need 4043398
  122. Tue Nov 16 21:29:36 2021 weight of 4043398 cycles is about 566993633 (140.23/cycle)
  123. Tue Nov 16 21:29:36 2021 distribution of cycle lengths:
  124. Tue Nov 16 21:29:36 2021 1 relations: 57027
  125. Tue Nov 16 21:29:36 2021 2 relations: 167049
  126. Tue Nov 16 21:29:36 2021 3 relations: 226456
  127. Tue Nov 16 21:29:36 2021 4 relations: 259293
  128. Tue Nov 16 21:29:36 2021 5 relations: 287609
  129. Tue Nov 16 21:29:36 2021 6 relations: 296982
  130. Tue Nov 16 21:29:36 2021 7 relations: 300447
  131. Tue Nov 16 21:29:36 2021 8 relations: 291089
  132. Tue Nov 16 21:29:36 2021 9 relations: 276510
  133. Tue Nov 16 21:29:36 2021 10+ relations: 1880936
  134. Tue Nov 16 21:29:36 2021 heaviest cycle: 28 relations
  135. Tue Nov 16 21:29:38 2021 commencing cycle optimization
  136. Tue Nov 16 21:29:50 2021 start with 40351459 relations
  137. Tue Nov 16 21:31:52 2021 pruned 2520447 relations
  138. Tue Nov 16 21:31:52 2021 memory use: 979.1 MB
  139. Tue Nov 16 21:31:52 2021 distribution of cycle lengths:
  140. Tue Nov 16 21:31:52 2021 1 relations: 57027
  141. Tue Nov 16 21:31:52 2021 2 relations: 172684
  142. Tue Nov 16 21:31:52 2021 3 relations: 238662
  143. Tue Nov 16 21:31:52 2021 4 relations: 274901
  144. Tue Nov 16 21:31:52 2021 5 relations: 308580
  145. Tue Nov 16 21:31:52 2021 6 relations: 318809
  146. Tue Nov 16 21:31:52 2021 7 relations: 324381
  147. Tue Nov 16 21:31:52 2021 8 relations: 312658
  148. Tue Nov 16 21:31:52 2021 9 relations: 296620
  149. Tue Nov 16 21:31:52 2021 10+ relations: 1739076
  150. Tue Nov 16 21:31:52 2021 heaviest cycle: 28 relations
  151. Tue Nov 16 21:32:00 2021 RelProcTime: 7833
  152. Tue Nov 16 21:32:00 2021 elapsed time 02:10:34
  153. Tue Nov 16 23:18:02 2021
  154. Tue Nov 16 23:18:02 2021
  155. Tue Nov 16 23:18:02 2021 Msieve v. 1.54 (SVN 1043M)
  156. Tue Nov 16 23:18:02 2021 random seeds: 213e45d6 95d1c12f
  157. Tue Nov 16 23:18:02 2021 factoring 7147899195279076005126628539754280064346946453412379189519824669359603847180966162236261056367430639886117774702656241878940665411756142451546604262530551006287 (160 digits)
  158. Tue Nov 16 23:18:03 2021 searching for 15-digit factors
  159. Tue Nov 16 23:18:04 2021 commencing number field sieve (160-digit input)
  160. Tue Nov 16 23:18:04 2021 R0: -35892145829078601856632218857329
  161. Tue Nov 16 23:18:04 2021 R1: 66002327228495723
  162. Tue Nov 16 23:18:04 2021 A0: 104777786762760223299872473905044429299760
  163. Tue Nov 16 23:18:04 2021 A1: 16875649516643952940668249495488548
  164. Tue Nov 16 23:18:04 2021 A2: -24127128300196636843374592
  165. Tue Nov 16 23:18:04 2021 A3: -15496623762132245911
  166. Tue Nov 16 23:18:04 2021 A4: 8270171990
  167. Tue Nov 16 23:18:04 2021 A5: 120
  168. Tue Nov 16 23:18:04 2021 skew 97406052.37, size 1.619e-15, alpha -7.422, combined = 1.506e-12 rroots = 5
  169. Tue Nov 16 23:18:04 2021
  170. Tue Nov 16 23:18:04 2021 commencing linear algebra
  171. Tue Nov 16 23:18:04 2021 read 4043398 cycles
  172. Tue Nov 16 23:18:19 2021 cycles contain 13413651 unique relations
  173. Tue Nov 16 23:37:53 2021 read 13413651 relations
  174. Tue Nov 16 23:38:17 2021 using 20 quadratic characters above 4294917295
  175. Tue Nov 16 23:39:26 2021 building initial matrix
  176. Tue Nov 16 23:42:43 2021 memory use: 1884.8 MB
  177. Tue Nov 16 23:42:45 2021 read 4043398 cycles
  178. Tue Nov 16 23:42:46 2021 matrix is 4043221 x 4043398 (2141.4 MB) with weight 650282170 (160.83/col)
  179. Tue Nov 16 23:42:46 2021 sparse part has weight 512825278 (126.83/col)
  180. Tue Nov 16 23:43:36 2021 filtering completed in 2 passes
  181. Tue Nov 16 23:43:36 2021 matrix is 4043157 x 4043334 (2141.4 MB) with weight 650278464 (160.83/col)
  182. Tue Nov 16 23:43:36 2021 sparse part has weight 512823907 (126.83/col)
  183. Tue Nov 16 23:43:50 2021 matrix starts at (0, 0)
  184. Tue Nov 16 23:43:50 2021 matrix is 4043157 x 4043334 (2141.4 MB) with weight 650278464 (160.83/col)
  185. Tue Nov 16 23:43:50 2021 sparse part has weight 512823907 (126.83/col)
  186. Tue Nov 16 23:43:50 2021 saving the first 48 matrix rows for later
  187. Tue Nov 16 23:43:51 2021 matrix includes 64 packed rows
  188. Tue Nov 16 23:43:52 2021 matrix is 4043109 x 4043334 (2085.6 MB) with weight 562514303 (139.12/col)
  189. Tue Nov 16 23:43:52 2021 sparse part has weight 506302829 (125.22/col)
  190. Tue Nov 16 23:43:52 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  191. Tue Nov 16 23:44:10 2021 commencing Lanczos iteration (4 threads)
  192. Tue Nov 16 23:44:10 2021 memory use: 1904.9 MB
  193. Tue Nov 16 23:44:32 2021 linear algebra at 0.0%, ETA 15h31m
  194. Tue Nov 16 23:44:39 2021 checkpointing every 270000 dimensions
  195. Wed Nov 17 10:31:02 2021 lanczos halted after 63940 iterations (dim = 4043106)
  196. Wed Nov 17 10:31:06 2021 recovered 27 nontrivial dependencies
  197. Wed Nov 17 10:31:07 2021 BLanczosTime: 40383
  198. Wed Nov 17 10:31:07 2021
  199. Wed Nov 17 10:31:07 2021 commencing square root phase
  200. Wed Nov 17 10:31:07 2021 reading relations for dependency 1
  201. Wed Nov 17 10:31:07 2021 read 2023725 cycles
  202. Wed Nov 17 10:31:11 2021 cycles contain 6710452 unique relations
  203. Wed Nov 17 10:40:49 2021 read 6710452 relations
  204. Wed Nov 17 10:41:23 2021 multiplying 6710452 relations
  205. Wed Nov 17 10:46:46 2021 multiply complete, coefficients have about 308.76 million bits
  206. Wed Nov 17 10:46:47 2021 initial square root is modulo 347051
  207. Wed Nov 17 10:53:14 2021 sqrtTime: 1327
  208. Wed Nov 17 10:53:14 2021 p62 factor: 15905305492839265667929413649053896351017853316111686149978481
  209. Wed Nov 17 10:53:14 2021 p99 factor: 449403452105785376682740569313595528259793710266488230258513978591036954025509415178576123764603327
  210. Wed Nov 17 10:53:14 2021 elapsed time 11:35:12
  211.  
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