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Jan 13th, 2020
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  1. Tue Jan 7 03:33:58 2020
  2. Tue Jan 7 03:33:58 2020 Msieve v. 1.54 (SVN 1025)
  3. Tue Jan 7 03:33:58 2020 random seeds: 6cca4377 6357fb91
  4. Tue Jan 7 03:33:58 2020 factoring 6056002974926771181451732048776725685014546970706534388920028668001927159289450680740415398280897979782235053062107193547220661729650152947815161792080662800668352069864631977 (175 digits)
  5. Tue Jan 7 03:33:59 2020 searching for 15-digit factors
  6. Tue Jan 7 03:33:59 2020 commencing number field sieve (175-digit input)
  7. Tue Jan 7 03:33:59 2020 R0: -4688032827316733769481242906634913
  8. Tue Jan 7 03:33:59 2020 R1: 19611726210964733
  9. Tue Jan 7 03:33:59 2020 A0: 648066947438798566913536892792169367417920
  10. Tue Jan 7 03:33:59 2020 A1: 87788974773349135788277364362466088
  11. Tue Jan 7 03:33:59 2020 A2: -47772154767938970621359830730
  12. Tue Jan 7 03:33:59 2020 A3: 752340153734533345589
  13. Tue Jan 7 03:33:59 2020 A4: 252438463074502
  14. Tue Jan 7 03:33:59 2020 A5: 2674440
  15. Tue Jan 7 03:33:59 2020 skew 14405774.52, size 4.061e-17, alpha -7.249, combined = 1.650e-13 rroots = 5
  16. Tue Jan 7 03:33:59 2020
  17. Tue Jan 7 03:33:59 2020 commencing relation filtering
  18. Tue Jan 7 03:33:59 2020 setting max relations to 340400000
  19. Tue Jan 7 03:33:59 2020 setting target matrix density to 124.0
  20. Tue Jan 7 03:33:59 2020 estimated available RAM is 15984.6 MB
  21. Tue Jan 7 03:33:59 2020 commencing duplicate removal, pass 1
  22. Tue Jan 7 03:41:06 2020 error -1 reading relation 62215888
  23. Tue Jan 7 03:57:22 2020 error -5 reading relation 203634468
  24. Tue Jan 7 03:58:17 2020 error -15 reading relation 211570054
  25. Tue Jan 7 03:59:34 2020 error -11 reading relation 222765673
  26. Tue Jan 7 04:00:59 2020 error -15 reading relation 234967643
  27. Tue Jan 7 04:06:31 2020 error -15 reading relation 282750196
  28. Tue Jan 7 04:08:48 2020 error -6 reading relation 302580593
  29. Tue Jan 7 04:09:46 2020 error -11 reading relation 310936221
  30. Tue Jan 7 04:09:46 2020 error -11 reading relation 310936222
  31. Tue Jan 7 04:13:11 2020 skipped 5 relations with composite factors
  32. Tue Jan 7 04:13:11 2020 found 24338243 hash collisions in 340399986 relations
  33. Tue Jan 7 04:13:11 2020 commencing duplicate removal, pass 2
  34. Tue Jan 7 04:14:37 2020 found 17 duplicates and 340399969 unique relations
  35. Tue Jan 7 04:14:37 2020 memory use: 1257.5 MB
  36. Tue Jan 7 04:14:37 2020 reading ideals above 279904256
  37. Tue Jan 7 04:14:37 2020 commencing singleton removal, initial pass
  38. Tue Jan 7 04:42:29 2020 memory use: 6024.0 MB
  39. Tue Jan 7 04:42:29 2020 reading all ideals from disk
  40. Tue Jan 7 04:42:41 2020 memory use: 5636.4 MB
  41. Tue Jan 7 04:42:54 2020 commencing in-memory singleton removal
  42. Tue Jan 7 04:43:06 2020 begin with 340399969 relations and 293103779 unique ideals
  43. Tue Jan 7 04:45:25 2020 reduce to 196968677 relations and 132243275 ideals in 16 passes
  44. Tue Jan 7 04:45:25 2020 max relations containing the same ideal: 39
  45. Tue Jan 7 04:45:34 2020 reading ideals above 720000
  46. Tue Jan 7 04:45:35 2020 commencing singleton removal, initial pass
  47. Tue Jan 7 05:06:09 2020 memory use: 3012.0 MB
  48. Tue Jan 7 05:06:09 2020 reading all ideals from disk
  49. Tue Jan 7 05:06:28 2020 memory use: 7889.4 MB
  50. Tue Jan 7 05:06:49 2020 keeping 161676221 ideals with weight <= 200, target excess is 997205
  51. Tue Jan 7 05:07:11 2020 commencing in-memory singleton removal
  52. Tue Jan 7 05:07:24 2020 begin with 196968677 relations and 161676221 unique ideals
  53. Tue Jan 7 05:09:49 2020 reduce to 196880592 relations and 161588130 ideals in 11 passes
  54. Tue Jan 7 05:09:49 2020 max relations containing the same ideal: 200
  55. Tue Jan 7 05:10:57 2020 removing 13739573 relations and 11739573 ideals in 2000000 cliques
  56. Tue Jan 7 05:11:01 2020 commencing in-memory singleton removal
  57. Tue Jan 7 05:11:13 2020 begin with 183141019 relations and 161588130 unique ideals
  58. Tue Jan 7 05:13:05 2020 reduce to 182463905 relations and 149162352 ideals in 9 passes
  59. Tue Jan 7 05:13:05 2020 max relations containing the same ideal: 198
  60. Tue Jan 7 05:14:08 2020 removing 10223626 relations and 8223626 ideals in 2000000 cliques
  61. Tue Jan 7 05:14:11 2020 commencing in-memory singleton removal
  62. Tue Jan 7 05:14:22 2020 begin with 172240279 relations and 149162352 unique ideals
  63. Tue Jan 7 05:15:53 2020 reduce to 171811052 relations and 140504642 ideals in 8 passes
  64. Tue Jan 7 05:15:53 2020 max relations containing the same ideal: 193
  65. Tue Jan 7 05:16:51 2020 removing 9127034 relations and 7127034 ideals in 2000000 cliques
  66. Tue Jan 7 05:16:55 2020 commencing in-memory singleton removal
  67. Tue Jan 7 05:17:05 2020 begin with 162684018 relations and 140504642 unique ideals
  68. Tue Jan 7 05:18:19 2020 reduce to 162317126 relations and 133006586 ideals in 7 passes
  69. Tue Jan 7 05:18:19 2020 max relations containing the same ideal: 187
  70. Tue Jan 7 05:19:14 2020 removing 8521827 relations and 6521827 ideals in 2000000 cliques
  71. Tue Jan 7 05:19:17 2020 commencing in-memory singleton removal
  72. Tue Jan 7 05:19:26 2020 begin with 153795299 relations and 133006586 unique ideals
  73. Tue Jan 7 05:20:35 2020 reduce to 153455892 relations and 126141533 ideals in 7 passes
  74. Tue Jan 7 05:20:35 2020 max relations containing the same ideal: 182
  75. Tue Jan 7 05:21:26 2020 removing 8131390 relations and 6131390 ideals in 2000000 cliques
  76. Tue Jan 7 05:21:29 2020 commencing in-memory singleton removal
  77. Tue Jan 7 05:21:38 2020 begin with 145324502 relations and 126141533 unique ideals
  78. Tue Jan 7 05:22:43 2020 reduce to 145001703 relations and 119683558 ideals in 7 passes
  79. Tue Jan 7 05:22:43 2020 max relations containing the same ideal: 176
  80. Tue Jan 7 05:23:32 2020 removing 7857853 relations and 5857853 ideals in 2000000 cliques
  81. Tue Jan 7 05:23:35 2020 commencing in-memory singleton removal
  82. Tue Jan 7 05:23:43 2020 begin with 137143850 relations and 119683558 unique ideals
  83. Tue Jan 7 05:24:44 2020 reduce to 136826549 relations and 113504596 ideals in 7 passes
  84. Tue Jan 7 05:24:44 2020 max relations containing the same ideal: 169
  85. Tue Jan 7 05:25:30 2020 removing 7658372 relations and 5658372 ideals in 2000000 cliques
  86. Tue Jan 7 05:25:33 2020 commencing in-memory singleton removal
  87. Tue Jan 7 05:25:40 2020 begin with 129168177 relations and 113504596 unique ideals
  88. Tue Jan 7 05:26:37 2020 reduce to 128855693 relations and 107529719 ideals in 7 passes
  89. Tue Jan 7 05:26:37 2020 max relations containing the same ideal: 165
  90. Tue Jan 7 05:27:20 2020 removing 7501159 relations and 5501159 ideals in 2000000 cliques
  91. Tue Jan 7 05:27:23 2020 commencing in-memory singleton removal
  92. Tue Jan 7 05:27:30 2020 begin with 121354534 relations and 107529719 unique ideals
  93. Tue Jan 7 05:28:22 2020 reduce to 121037634 relations and 101707429 ideals in 7 passes
  94. Tue Jan 7 05:28:22 2020 max relations containing the same ideal: 157
  95. Tue Jan 7 05:29:02 2020 removing 7378093 relations and 5378093 ideals in 2000000 cliques
  96. Tue Jan 7 05:29:05 2020 commencing in-memory singleton removal
  97. Tue Jan 7 05:29:11 2020 begin with 113659541 relations and 101707429 unique ideals
  98. Tue Jan 7 05:29:59 2020 reduce to 113336726 relations and 96001807 ideals in 7 passes
  99. Tue Jan 7 05:29:59 2020 max relations containing the same ideal: 154
  100. Tue Jan 7 05:30:37 2020 removing 7292482 relations and 5292482 ideals in 2000000 cliques
  101. Tue Jan 7 05:30:40 2020 commencing in-memory singleton removal
  102. Tue Jan 7 05:30:45 2020 begin with 106044244 relations and 96001807 unique ideals
  103. Tue Jan 7 05:31:30 2020 reduce to 105713292 relations and 90373395 ideals in 7 passes
  104. Tue Jan 7 05:31:30 2020 max relations containing the same ideal: 146
  105. Tue Jan 7 05:32:05 2020 removing 7224994 relations and 5224994 ideals in 2000000 cliques
  106. Tue Jan 7 05:32:07 2020 commencing in-memory singleton removal
  107. Tue Jan 7 05:32:13 2020 begin with 98488298 relations and 90373395 unique ideals
  108. Tue Jan 7 05:32:53 2020 reduce to 98144937 relations and 84799522 ideals in 7 passes
  109. Tue Jan 7 05:32:53 2020 max relations containing the same ideal: 137
  110. Tue Jan 7 05:33:26 2020 removing 7167020 relations and 5167020 ideals in 2000000 cliques
  111. Tue Jan 7 05:33:28 2020 commencing in-memory singleton removal
  112. Tue Jan 7 05:33:33 2020 begin with 90977917 relations and 84799522 unique ideals
  113. Tue Jan 7 05:34:16 2020 reduce to 90619464 relations and 79267826 ideals in 8 passes
  114. Tue Jan 7 05:34:16 2020 max relations containing the same ideal: 131
  115. Tue Jan 7 05:34:46 2020 removing 7133715 relations and 5133715 ideals in 2000000 cliques
  116. Tue Jan 7 05:34:48 2020 commencing in-memory singleton removal
  117. Tue Jan 7 05:34:52 2020 begin with 83485749 relations and 79267826 unique ideals
  118. Tue Jan 7 05:35:26 2020 reduce to 83104000 relations and 73745211 ideals in 7 passes
  119. Tue Jan 7 05:35:26 2020 max relations containing the same ideal: 121
  120. Tue Jan 7 05:35:53 2020 removing 7108390 relations and 5108390 ideals in 2000000 cliques
  121. Tue Jan 7 05:35:55 2020 commencing in-memory singleton removal
  122. Tue Jan 7 05:35:59 2020 begin with 75995610 relations and 73745211 unique ideals
  123. Tue Jan 7 05:36:30 2020 reduce to 75585286 relations and 68218062 ideals in 7 passes
  124. Tue Jan 7 05:36:30 2020 max relations containing the same ideal: 114
  125. Tue Jan 7 05:36:54 2020 removing 7102235 relations and 5102235 ideals in 2000000 cliques
  126. Tue Jan 7 05:36:56 2020 commencing in-memory singleton removal
  127. Tue Jan 7 05:37:00 2020 begin with 68483051 relations and 68218062 unique ideals
  128. Tue Jan 7 05:37:27 2020 reduce to 68033829 relations and 62656699 ideals in 7 passes
  129. Tue Jan 7 05:37:27 2020 max relations containing the same ideal: 108
  130. Tue Jan 7 05:37:49 2020 removing 7113029 relations and 5113029 ideals in 2000000 cliques
  131. Tue Jan 7 05:37:51 2020 commencing in-memory singleton removal
  132. Tue Jan 7 05:37:54 2020 begin with 60920800 relations and 62656699 unique ideals
  133. Tue Jan 7 05:38:22 2020 reduce to 60416113 relations and 57026832 ideals in 9 passes
  134. Tue Jan 7 05:38:22 2020 max relations containing the same ideal: 100
  135. Tue Jan 7 05:38:41 2020 removing 7149905 relations and 5149905 ideals in 2000000 cliques
  136. Tue Jan 7 05:38:43 2020 commencing in-memory singleton removal
  137. Tue Jan 7 05:38:46 2020 begin with 53266208 relations and 57026832 unique ideals
  138. Tue Jan 7 05:39:11 2020 reduce to 52681093 relations and 51275604 ideals in 9 passes
  139. Tue Jan 7 05:39:11 2020 max relations containing the same ideal: 90
  140. Tue Jan 7 05:39:27 2020 removing 1324022 relations and 1075291 ideals in 248731 cliques
  141. Tue Jan 7 05:39:28 2020 commencing in-memory singleton removal
  142. Tue Jan 7 05:39:30 2020 begin with 51357071 relations and 51275604 unique ideals
  143. Tue Jan 7 05:39:46 2020 reduce to 51336655 relations and 50179809 ideals in 6 passes
  144. Tue Jan 7 05:39:46 2020 max relations containing the same ideal: 89
  145. Tue Jan 7 05:39:54 2020 relations with 0 large ideals: 0
  146. Tue Jan 7 05:39:54 2020 relations with 1 large ideals: 17472
  147. Tue Jan 7 05:39:54 2020 relations with 2 large ideals: 267671
  148. Tue Jan 7 05:39:54 2020 relations with 3 large ideals: 1695260
  149. Tue Jan 7 05:39:54 2020 relations with 4 large ideals: 5703223
  150. Tue Jan 7 05:39:54 2020 relations with 5 large ideals: 11356203
  151. Tue Jan 7 05:39:54 2020 relations with 6 large ideals: 14043597
  152. Tue Jan 7 05:39:54 2020 relations with 7+ large ideals: 18253229
  153. Tue Jan 7 05:39:54 2020 commencing 2-way merge
  154. Tue Jan 7 05:40:15 2020 reduce to 32866725 relation sets and 31709879 unique ideals
  155. Tue Jan 7 05:40:15 2020 commencing full merge
  156. Tue Jan 7 05:48:44 2020 memory use: 3897.6 MB
  157. Tue Jan 7 05:48:47 2020 found 14752226 cycles, need 14664079
  158. Tue Jan 7 05:48:51 2020 weight of 14664079 cycles is about 1818824272 (124.03/cycle)
  159. Tue Jan 7 05:48:51 2020 distribution of cycle lengths:
  160. Tue Jan 7 05:48:51 2020 1 relations: 558117
  161. Tue Jan 7 05:48:51 2020 2 relations: 852312
  162. Tue Jan 7 05:48:51 2020 3 relations: 1028227
  163. Tue Jan 7 05:48:51 2020 4 relations: 1071104
  164. Tue Jan 7 05:48:51 2020 5 relations: 1104249
  165. Tue Jan 7 05:48:51 2020 6 relations: 1095115
  166. Tue Jan 7 05:48:51 2020 7 relations: 1087387
  167. Tue Jan 7 05:48:51 2020 8 relations: 1033275
  168. Tue Jan 7 05:48:51 2020 9 relations: 976453
  169. Tue Jan 7 05:48:51 2020 10+ relations: 5857840
  170. Tue Jan 7 05:48:51 2020 heaviest cycle: 28 relations
  171. Tue Jan 7 05:48:54 2020 commencing cycle optimization
  172. Tue Jan 7 05:49:18 2020 start with 129355715 relations
  173. Tue Jan 7 05:52:39 2020 pruned 5735615 relations
  174. Tue Jan 7 05:52:40 2020 memory use: 3461.7 MB
  175. Tue Jan 7 05:52:40 2020 distribution of cycle lengths:
  176. Tue Jan 7 05:52:40 2020 1 relations: 558117
  177. Tue Jan 7 05:52:40 2020 2 relations: 876265
  178. Tue Jan 7 05:52:40 2020 3 relations: 1073733
  179. Tue Jan 7 05:52:40 2020 4 relations: 1115526
  180. Tue Jan 7 05:52:40 2020 5 relations: 1159280
  181. Tue Jan 7 05:52:40 2020 6 relations: 1149288
  182. Tue Jan 7 05:52:40 2020 7 relations: 1140545
  183. Tue Jan 7 05:52:40 2020 8 relations: 1081479
  184. Tue Jan 7 05:52:40 2020 9 relations: 1019673
  185. Tue Jan 7 05:52:40 2020 10+ relations: 5490173
  186. Tue Jan 7 05:52:40 2020 heaviest cycle: 28 relations
  187. Tue Jan 7 05:53:04 2020 RelProcTime: 8345
  188. Tue Jan 7 05:53:04 2020
  189. Tue Jan 7 05:53:04 2020 commencing linear algebra
  190. Tue Jan 7 05:53:05 2020 read 14664079 cycles
  191. Tue Jan 7 05:53:30 2020 cycles contain 50748394 unique relations
  192. Tue Jan 7 05:57:28 2020 read 50748394 relations
  193. Tue Jan 7 05:58:41 2020 using 20 quadratic characters above 4294917295
  194. Tue Jan 7 06:01:35 2020 building initial matrix
  195. Tue Jan 7 06:09:57 2020 memory use: 6986.3 MB
  196. Tue Jan 7 06:10:03 2020 read 14664079 cycles
  197. Tue Jan 7 06:10:05 2020 matrix is 14663900 x 14664079 (7121.0 MB) with weight 2157497788 (147.13/col)
  198. Tue Jan 7 06:10:05 2020 sparse part has weight 1690760744 (115.30/col)
  199. Tue Jan 7 06:12:48 2020 filtering completed in 2 passes
  200. Tue Jan 7 06:12:51 2020 matrix is 14663577 x 14663756 (7121.0 MB) with weight 2157482269 (147.13/col)
  201. Tue Jan 7 06:12:51 2020 sparse part has weight 1690755938 (115.30/col)
  202. Tue Jan 7 06:13:39 2020 matrix starts at (0, 0)
  203. Tue Jan 7 06:13:42 2020 matrix is 14663577 x 14663756 (7121.0 MB) with weight 2157482269 (147.13/col)
  204. Tue Jan 7 06:13:42 2020 sparse part has weight 1690755938 (115.30/col)
  205. Tue Jan 7 06:13:42 2020 saving the first 48 matrix rows for later
  206. Tue Jan 7 06:13:44 2020 matrix includes 64 packed rows
  207. Tue Jan 7 06:13:46 2020 matrix is 14663529 x 14663756 (6918.7 MB) with weight 1851600823 (126.27/col)
  208. Tue Jan 7 06:13:46 2020 sparse part has weight 1667066374 (113.69/col)
  209. Tue Jan 7 06:13:46 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  210. Tue Jan 7 06:14:42 2020 commencing Lanczos iteration (4 threads)
  211. Tue Jan 7 06:14:42 2020 memory use: 6535.4 MB
  212. Tue Jan 7 06:15:49 2020 linear algebra at 0.0%, ETA 171h29m
  213. Tue Jan 7 06:16:10 2020 checkpointing every 90000 dimensions
  214. Mon Jan 13 17:15:49 2020 lanczos halted after 231893 iterations (dim = 14663528)
  215. Mon Jan 13 17:16:10 2020 recovered 30 nontrivial dependencies
  216. Mon Jan 13 17:16:10 2020 BLanczosTime: 559386
  217. Mon Jan 13 17:16:10 2020
  218. Mon Jan 13 17:16:10 2020 commencing square root phase
  219. Mon Jan 13 17:16:10 2020 handling dependencies 1 to 64
  220. Mon Jan 13 17:16:10 2020 reading relations for dependency 1
  221. Mon Jan 13 17:16:12 2020 read 7334304 cycles
  222. Mon Jan 13 17:16:23 2020 cycles contain 25376128 unique relations
  223. Mon Jan 13 17:18:39 2020 read 25376128 relations
  224. Mon Jan 13 17:20:06 2020 multiplying 25376128 relations
  225. Mon Jan 13 17:48:16 2020 multiply complete, coefficients have about 1528.07 million bits
  226. Mon Jan 13 17:48:23 2020 initial square root is modulo 7153369
  227. Mon Jan 13 18:20:16 2020 sqrtTime: 3846
  228. Mon Jan 13 18:20:16 2020 p85 factor: 2796770259053821568023655780703490207902349763003904707032824511446453220659436842313
  229. Mon Jan 13 18:20:16 2020 p91 factor: 2165355897690210789569460357155067443971369184053862362551669072061031091306422900959647329
  230. Mon Jan 13 18:20:16 2020 elapsed time 158:46:18
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