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8p7_658M

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Jul 30th, 2021
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  1. Wed Jul 21 11:25:26 2021
  2. Wed Jul 21 11:25:26 2021
  3. Wed Jul 21 11:25:26 2021 Msieve v. 1.52 (SVN unknown)
  4. Wed Jul 21 11:25:26 2021 random seeds: 6987f158 36028f3e
  5. Wed Jul 21 11:25:26 2021 factoring 72890158987041666766011350256786001744802855689822794521020250446083927213449248269501559236794649155472243711879609177635406868377255210952379855134002683197263883432518614708099901130691107905320517365340105413 (212 digits)
  6. Wed Jul 21 11:25:27 2021 no P-1/P+1/ECM available, skipping
  7. Wed Jul 21 11:25:27 2021 commencing number field sieve (212-digit input)
  8. Wed Jul 21 11:25:27 2021 R0: -2792836488133084196326426242799907139703095
  9. Wed Jul 21 11:25:27 2021 R1: 64622627558462937317592857702519866916864
  10. Wed Jul 21 11:25:27 2021 A0: -343
  11. Wed Jul 21 11:25:27 2021 A1: -1372
  12. Wed Jul 21 11:25:27 2021 A2: -1568
  13. Wed Jul 21 11:25:27 2021 A3: -588
  14. Wed Jul 21 11:25:27 2021 A4: 28
  15. Wed Jul 21 11:25:27 2021 A5: 56
  16. Wed Jul 21 11:25:27 2021 A6: 8
  17. Wed Jul 21 11:25:27 2021 skew 1.87, size 1.061e-012, alpha 1.665, combined = 1.161e-013 rroots = 6
  18. Wed Jul 21 11:25:27 2021
  19. Wed Jul 21 11:25:27 2021 commencing relation filtering
  20. Wed Jul 21 11:25:27 2021 setting target matrix density to 120.0
  21. Wed Jul 21 11:25:27 2021 estimated available RAM is 16289.0 MB
  22. Wed Jul 21 11:25:27 2021 commencing duplicate removal, pass 1
  23. Wed Jul 21 11:25:35 2021 error -9 reading relation 760741
  24. Wed Jul 21 11:25:35 2021 error -5 reading relation 768446
  25. Wed Jul 21 11:25:36 2021 error -15 reading relation 943951
  26. Wed Jul 21 11:25:41 2021 error -15 reading relation 1512456
  27. Wed Jul 21 11:26:15 2021 error -15 reading relation 5245882
  28. Wed Jul 21 11:27:30 2021 error -9 reading relation 13619238
  29. Wed Jul 21 11:27:36 2021 error -15 reading relation 14262393
  30. Wed Jul 21 11:27:59 2021 error -15 reading relation 16852949
  31. Wed Jul 21 11:27:59 2021 error -9 reading relation 16860090
  32. Wed Jul 21 11:28:06 2021 error -9 reading relation 17608499
  33. Wed Jul 21 12:05:18 2021 error -15 reading relation 262875699
  34. Wed Jul 21 12:05:20 2021 error -9 reading relation 263083749
  35. Wed Jul 21 12:05:20 2021 error -9 reading relation 263116487
  36. Wed Jul 21 12:05:22 2021 error -15 reading relation 263308346
  37. Wed Jul 21 12:05:23 2021 error -9 reading relation 263420114
  38. Wed Jul 21 12:05:24 2021 error -5 reading relation 263532040
  39. Wed Jul 21 12:05:24 2021 error -15 reading relation 263536152
  40. Wed Jul 21 12:05:27 2021 error -9 reading relation 263843035
  41. Wed Jul 21 12:05:27 2021 error -9 reading relation 263889788
  42. Wed Jul 21 12:05:36 2021 error -15 reading relation 264852233
  43. Wed Jul 21 12:05:49 2021 error -9 reading relation 266307568
  44. Wed Jul 21 12:05:54 2021 skipped 259 relations with b > 2^32
  45. Wed Jul 21 12:05:54 2021 found 55925902 hash collisions in 266833808 relations
  46. Wed Jul 21 12:06:07 2021 added 2438409 free relations
  47. Wed Jul 21 12:06:07 2021 commencing duplicate removal, pass 2
  48. Wed Jul 21 12:12:47 2021 found 57037559 duplicates and 212234658 unique relations
  49. Wed Jul 21 12:12:47 2021 memory use: 1449.5 MB
  50. Wed Jul 21 12:12:47 2021 reading ideals above 179896320
  51. Wed Jul 21 12:12:47 2021 commencing singleton removal, initial pass
  52. Wed Jul 21 12:48:44 2021 memory use: 3012.0 MB
  53. Wed Jul 21 12:48:44 2021 reading all ideals from disk
  54. Wed Jul 21 12:49:29 2021 memory use: 3646.6 MB
  55. Wed Jul 21 12:49:36 2021 commencing in-memory singleton removal
  56. Wed Jul 21 12:49:43 2021 begin with 212234658 relations and 163548958 unique ideals
  57. Wed Jul 21 12:51:00 2021 reduce to 153777616 relations and 100258927 ideals in 12 passes
  58. Wed Jul 21 12:51:00 2021 max relations containing the same ideal: 43
  59. Wed Jul 21 12:51:12 2021 reading ideals above 720000
  60. Wed Jul 21 12:51:12 2021 commencing singleton removal, initial pass
  61. Wed Jul 21 13:22:44 2021 memory use: 3012.0 MB
  62. Wed Jul 21 13:22:44 2021 reading all ideals from disk
  63. Wed Jul 21 13:22:47 2021 memory use: 6303.2 MB
  64. Wed Jul 21 13:23:03 2021 keeping 119501643 ideals with weight <= 200, target excess is 808281
  65. Wed Jul 21 13:23:21 2021 commencing in-memory singleton removal
  66. Wed Jul 21 13:23:34 2021 begin with 153777616 relations and 119501643 unique ideals
  67. Wed Jul 21 13:24:27 2021 reduce to 153777048 relations and 119501073 ideals in 4 passes
  68. Wed Jul 21 13:24:27 2021 max relations containing the same ideal: 200
  69. Wed Jul 21 13:25:32 2021 removing 10025216 relations and 8025216 ideals in 2000000 cliques
  70. Wed Jul 21 13:25:35 2021 commencing in-memory singleton removal
  71. Wed Jul 21 13:25:47 2021 begin with 143751832 relations and 119501073 unique ideals
  72. Wed Jul 21 13:27:27 2021 reduce to 143228692 relations and 110943780 ideals in 8 passes
  73. Wed Jul 21 13:27:27 2021 max relations containing the same ideal: 198
  74. Wed Jul 21 13:28:27 2021 removing 7715945 relations and 5715945 ideals in 2000000 cliques
  75. Wed Jul 21 13:28:30 2021 commencing in-memory singleton removal
  76. Wed Jul 21 13:28:41 2021 begin with 135512747 relations and 110943780 unique ideals
  77. Wed Jul 21 13:30:04 2021 reduce to 135163453 relations and 104873544 ideals in 7 passes
  78. Wed Jul 21 13:30:04 2021 max relations containing the same ideal: 193
  79. Wed Jul 21 13:31:02 2021 removing 7042665 relations and 5042665 ideals in 2000000 cliques
  80. Wed Jul 21 13:31:05 2021 commencing in-memory singleton removal
  81. Wed Jul 21 13:31:15 2021 begin with 128120788 relations and 104873544 unique ideals
  82. Wed Jul 21 13:32:34 2021 reduce to 127815227 relations and 99520925 ideals in 7 passes
  83. Wed Jul 21 13:32:34 2021 max relations containing the same ideal: 188
  84. Wed Jul 21 13:33:28 2021 removing 6689265 relations and 4689265 ideals in 2000000 cliques
  85. Wed Jul 21 13:33:30 2021 commencing in-memory singleton removal
  86. Wed Jul 21 13:33:40 2021 begin with 121125962 relations and 99520925 unique ideals
  87. Wed Jul 21 13:34:53 2021 reduce to 120841868 relations and 94543468 ideals in 7 passes
  88. Wed Jul 21 13:34:53 2021 max relations containing the same ideal: 183
  89. Wed Jul 21 13:35:46 2021 removing 6479016 relations and 4479016 ideals in 2000000 cliques
  90. Wed Jul 21 13:35:48 2021 commencing in-memory singleton removal
  91. Wed Jul 21 13:35:57 2021 begin with 114362852 relations and 94543468 unique ideals
  92. Wed Jul 21 13:37:06 2021 reduce to 114089295 relations and 89786623 ideals in 7 passes
  93. Wed Jul 21 13:37:06 2021 max relations containing the same ideal: 173
  94. Wed Jul 21 13:37:55 2021 removing 6329366 relations and 4329366 ideals in 2000000 cliques
  95. Wed Jul 21 13:37:57 2021 commencing in-memory singleton removal
  96. Wed Jul 21 13:38:06 2021 begin with 107759929 relations and 89786623 unique ideals
  97. Wed Jul 21 13:39:01 2021 reduce to 107490823 relations and 85183800 ideals in 6 passes
  98. Wed Jul 21 13:39:01 2021 max relations containing the same ideal: 169
  99. Wed Jul 21 13:39:47 2021 removing 6225963 relations and 4225963 ideals in 2000000 cliques
  100. Wed Jul 21 13:39:50 2021 commencing in-memory singleton removal
  101. Wed Jul 21 13:39:58 2021 begin with 101264860 relations and 85183800 unique ideals
  102. Wed Jul 21 13:40:58 2021 reduce to 100995095 relations and 80683522 ideals in 7 passes
  103. Wed Jul 21 13:40:58 2021 max relations containing the same ideal: 165
  104. Wed Jul 21 13:41:42 2021 removing 6152349 relations and 4152349 ideals in 2000000 cliques
  105. Wed Jul 21 13:41:44 2021 commencing in-memory singleton removal
  106. Wed Jul 21 13:41:51 2021 begin with 94842746 relations and 80683522 unique ideals
  107. Wed Jul 21 13:42:39 2021 reduce to 94566934 relations and 76250374 ideals in 6 passes
  108. Wed Jul 21 13:42:39 2021 max relations containing the same ideal: 157
  109. Wed Jul 21 13:43:21 2021 removing 6101296 relations and 4101296 ideals in 2000000 cliques
  110. Wed Jul 21 13:43:23 2021 commencing in-memory singleton removal
  111. Wed Jul 21 13:43:30 2021 begin with 88465638 relations and 76250374 unique ideals
  112. Wed Jul 21 13:44:14 2021 reduce to 88180146 relations and 71858136 ideals in 6 passes
  113. Wed Jul 21 13:44:14 2021 max relations containing the same ideal: 147
  114. Wed Jul 21 13:44:53 2021 removing 6068276 relations and 4068276 ideals in 2000000 cliques
  115. Wed Jul 21 13:44:55 2021 commencing in-memory singleton removal
  116. Wed Jul 21 13:45:01 2021 begin with 82111870 relations and 71858136 unique ideals
  117. Wed Jul 21 13:45:42 2021 reduce to 81816075 relations and 67488093 ideals in 6 passes
  118. Wed Jul 21 13:45:42 2021 max relations containing the same ideal: 141
  119. Wed Jul 21 13:46:18 2021 removing 6049764 relations and 4049764 ideals in 2000000 cliques
  120. Wed Jul 21 13:46:20 2021 commencing in-memory singleton removal
  121. Wed Jul 21 13:46:26 2021 begin with 75766311 relations and 67488093 unique ideals
  122. Wed Jul 21 13:47:10 2021 reduce to 75454626 relations and 63120006 ideals in 7 passes
  123. Wed Jul 21 13:47:10 2021 max relations containing the same ideal: 134
  124. Wed Jul 21 13:47:44 2021 removing 6044070 relations and 4044070 ideals in 2000000 cliques
  125. Wed Jul 21 13:47:46 2021 commencing in-memory singleton removal
  126. Wed Jul 21 13:47:51 2021 begin with 69410556 relations and 63120006 unique ideals
  127. Wed Jul 21 13:48:32 2021 reduce to 69076378 relations and 58733908 ideals in 7 passes
  128. Wed Jul 21 13:48:32 2021 max relations containing the same ideal: 126
  129. Wed Jul 21 13:49:02 2021 removing 6051978 relations and 4051978 ideals in 2000000 cliques
  130. Wed Jul 21 13:49:04 2021 commencing in-memory singleton removal
  131. Wed Jul 21 13:49:09 2021 begin with 63024400 relations and 58733908 unique ideals
  132. Wed Jul 21 13:49:45 2021 reduce to 62665241 relations and 54313846 ideals in 7 passes
  133. Wed Jul 21 13:49:45 2021 max relations containing the same ideal: 119
  134. Wed Jul 21 13:50:13 2021 removing 6067090 relations and 4067090 ideals in 2000000 cliques
  135. Wed Jul 21 13:50:15 2021 commencing in-memory singleton removal
  136. Wed Jul 21 13:50:19 2021 begin with 56598151 relations and 54313846 unique ideals
  137. Wed Jul 21 13:50:51 2021 reduce to 56204373 relations and 49842270 ideals in 7 passes
  138. Wed Jul 21 13:50:51 2021 max relations containing the same ideal: 107
  139. Wed Jul 21 13:51:17 2021 removing 6094915 relations and 4094915 ideals in 2000000 cliques
  140. Wed Jul 21 13:51:18 2021 commencing in-memory singleton removal
  141. Wed Jul 21 13:51:22 2021 begin with 50109458 relations and 49842270 unique ideals
  142. Wed Jul 21 13:51:50 2021 reduce to 49668346 relations and 45293013 ideals in 7 passes
  143. Wed Jul 21 13:51:50 2021 max relations containing the same ideal: 100
  144. Wed Jul 21 13:52:13 2021 removing 6130843 relations and 4130843 ideals in 2000000 cliques
  145. Wed Jul 21 13:52:14 2021 commencing in-memory singleton removal
  146. Wed Jul 21 13:52:18 2021 begin with 43537503 relations and 45293013 unique ideals
  147. Wed Jul 21 13:52:42 2021 reduce to 43033718 relations and 40641304 ideals in 7 passes
  148. Wed Jul 21 13:52:42 2021 max relations containing the same ideal: 91
  149. Wed Jul 21 13:53:02 2021 removing 4751560 relations and 3296752 ideals in 1454808 cliques
  150. Wed Jul 21 13:53:03 2021 commencing in-memory singleton removal
  151. Wed Jul 21 13:53:06 2021 begin with 38282158 relations and 40641304 unique ideals
  152. Wed Jul 21 13:53:27 2021 reduce to 37916746 relations and 36968395 ideals in 7 passes
  153. Wed Jul 21 13:53:27 2021 max relations containing the same ideal: 83
  154. Wed Jul 21 13:53:45 2021 removing 70602 relations and 59857 ideals in 10745 cliques
  155. Wed Jul 21 13:53:46 2021 commencing in-memory singleton removal
  156. Wed Jul 21 13:53:48 2021 begin with 37846144 relations and 36968395 unique ideals
  157. Wed Jul 21 13:53:57 2021 reduce to 37846066 relations and 36908460 ideals in 3 passes
  158. Wed Jul 21 13:53:57 2021 max relations containing the same ideal: 83
  159. Wed Jul 21 13:54:04 2021 relations with 0 large ideals: 60192
  160. Wed Jul 21 13:54:04 2021 relations with 1 large ideals: 14591
  161. Wed Jul 21 13:54:04 2021 relations with 2 large ideals: 119451
  162. Wed Jul 21 13:54:04 2021 relations with 3 large ideals: 806838
  163. Wed Jul 21 13:54:04 2021 relations with 4 large ideals: 3020033
  164. Wed Jul 21 13:54:04 2021 relations with 5 large ideals: 6776568
  165. Wed Jul 21 13:54:04 2021 relations with 6 large ideals: 9612643
  166. Wed Jul 21 13:54:04 2021 relations with 7+ large ideals: 17435750
  167. Wed Jul 21 13:54:04 2021 commencing 2-way merge
  168. Wed Jul 21 13:54:29 2021 reduce to 25892314 relation sets and 24954708 unique ideals
  169. Wed Jul 21 13:54:29 2021 commencing full merge
  170. Wed Jul 21 14:07:56 2021 memory use: 3551.8 MB
  171. Wed Jul 21 14:08:01 2021 found 11865317 cycles, need 11826908
  172. Wed Jul 21 14:08:02 2021 weight of 11826908 cycles is about 1419584755 (120.03/cycle)
  173. Wed Jul 21 14:08:02 2021 distribution of cycle lengths:
  174. Wed Jul 21 14:08:02 2021 1 relations: 457772
  175. Wed Jul 21 14:08:02 2021 2 relations: 667555
  176. Wed Jul 21 14:08:02 2021 3 relations: 813555
  177. Wed Jul 21 14:08:02 2021 4 relations: 861915
  178. Wed Jul 21 14:08:02 2021 5 relations: 891826
  179. Wed Jul 21 14:08:02 2021 6 relations: 893523
  180. Wed Jul 21 14:08:02 2021 7 relations: 879367
  181. Wed Jul 21 14:08:02 2021 8 relations: 841577
  182. Wed Jul 21 14:08:02 2021 9 relations: 788035
  183. Wed Jul 21 14:08:02 2021 10+ relations: 4731783
  184. Wed Jul 21 14:08:02 2021 heaviest cycle: 28 relations
  185. Wed Jul 21 14:08:18 2021 commencing cycle optimization
  186. Wed Jul 21 14:08:42 2021 start with 105366748 relations
  187. Wed Jul 21 14:14:25 2021 pruned 5334784 relations
  188. Wed Jul 21 14:14:25 2021 memory use: 2666.3 MB
  189. Wed Jul 21 14:14:25 2021 distribution of cycle lengths:
  190. Wed Jul 21 14:14:25 2021 1 relations: 457772
  191. Wed Jul 21 14:14:25 2021 2 relations: 682811
  192. Wed Jul 21 14:14:25 2021 3 relations: 847749
  193. Wed Jul 21 14:14:25 2021 4 relations: 900079
  194. Wed Jul 21 14:14:25 2021 5 relations: 941025
  195. Wed Jul 21 14:14:25 2021 6 relations: 943282
  196. Wed Jul 21 14:14:25 2021 7 relations: 932197
  197. Wed Jul 21 14:14:25 2021 8 relations: 888177
  198. Wed Jul 21 14:14:25 2021 9 relations: 830199
  199. Wed Jul 21 14:14:25 2021 10+ relations: 4403617
  200. Wed Jul 21 14:14:25 2021 heaviest cycle: 28 relations
  201. Wed Jul 21 14:14:50 2021 RelProcTime: 10163
  202. Wed Jul 21 14:14:50 2021
  203. Wed Jul 21 14:14:50 2021 commencing linear algebra
  204. Wed Jul 21 14:14:53 2021 read 11826908 cycles
  205. Wed Jul 21 14:15:19 2021 cycles contain 37402472 unique relations
  206. Wed Jul 21 14:22:40 2021 read 37402472 relations
  207. Wed Jul 21 14:23:51 2021 using 20 quadratic characters above 2147482682
  208. Wed Jul 21 14:26:22 2021 building initial matrix
  209. Wed Jul 21 14:34:39 2021 memory use: 4991.5 MB
  210. Wed Jul 21 14:34:57 2021 read 11826908 cycles
  211. Wed Jul 21 14:35:00 2021 matrix is 11826731 x 11826908 (5496.5 MB) with weight 1568465858 (132.62/col)
  212. Wed Jul 21 14:35:00 2021 sparse part has weight 1322616746 (111.83/col)
  213. Wed Jul 21 14:37:31 2021 filtering completed in 2 passes
  214. Wed Jul 21 14:37:34 2021 matrix is 11826599 x 11826776 (5496.5 MB) with weight 1568461921 (132.62/col)
  215. Wed Jul 21 14:37:34 2021 sparse part has weight 1322615503 (111.83/col)
  216. Wed Jul 21 14:39:38 2021 matrix starts at (0, 0)
  217. Wed Jul 21 14:39:42 2021 matrix is 11826599 x 11826776 (5496.5 MB) with weight 1568461921 (132.62/col)
  218. Wed Jul 21 14:39:42 2021 sparse part has weight 1322615503 (111.83/col)
  219. Wed Jul 21 14:39:42 2021 saving the first 48 matrix rows for later
  220. Wed Jul 21 14:39:46 2021 matrix includes 64 packed rows
  221. Wed Jul 21 14:39:48 2021 matrix is 11826551 x 11826776 (5296.5 MB) with weight 1347406610 (113.93/col)
  222. Wed Jul 21 14:39:48 2021 sparse part has weight 1270186046 (107.40/col)
  223. Wed Jul 21 14:39:48 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  224. Wed Jul 21 14:40:54 2021 commencing Lanczos iteration (8 threads)
  225. Wed Jul 21 14:40:54 2021 memory use: 4543.6 MB
  226. Wed Jul 21 14:42:34 2021 linear algebra at 0.0%, ETA 207h11m
  227. Wed Jul 21 14:43:05 2021 checkpointing every 60000 dimensions
  228. Fri Jul 30 05:12:49 2021 lanczos halted after 187019 iterations (dim = 11826547)
  229. Fri Jul 30 05:13:05 2021 recovered 33 nontrivial dependencies
  230. Fri Jul 30 05:13:16 2021 BLanczosTime: 745106
  231. Fri Jul 30 05:13:16 2021
  232. Fri Jul 30 05:13:16 2021 commencing square root phase
  233. Fri Jul 30 05:13:16 2021 handling dependencies 1 to 64
  234. Fri Jul 30 05:13:16 2021 reading relations for dependency 1
  235. Fri Jul 30 05:13:19 2021 read 5911873 cycles
  236. Fri Jul 30 05:13:30 2021 cycles contain 18694860 unique relations
  237. Fri Jul 30 05:20:06 2021 read 18694860 relations
  238. Fri Jul 30 05:21:46 2021 multiplying 18694860 relations
  239. Fri Jul 30 05:40:55 2021 multiply complete, coefficients have about 555.95 million bits
  240. Fri Jul 30 05:41:02 2021 initial square root is modulo 97283
  241. Fri Jul 30 06:02:42 2021 sqrtTime: 2966
  242. Fri Jul 30 06:02:42 2021 prp84 factor: 656272964586190282066864481688848890075330056596263373965940451584658077069100619277
  243. Fri Jul 30 06:02:42 2021 prp129 factor: 111066831822033383797874387298838922239084535990052922164174763134213631156381689916244463620953809179996649664293040009497538969
  244. Fri Jul 30 06:02:42 2021 elapsed time 210:37:16
  245.  
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