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fivemack

C211_489xx557_7 linalg log

fivemack
Aug 9th, 2018
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  1. Fri Aug 03 04:49:49 2018
  2. Fri Aug 03 04:49:49 2018
  3. Fri Aug 03 04:49:49 2018 Msieve v. 1.52 (SVN unknown)
  4. Fri Aug 03 04:49:49 2018 random seeds: fcceb7d4 efc47b54
  5. Fri Aug 03 04:49:49 2018 factoring 1134507765851880429458844611888849057481057995993265356102247938222166493299410915234943047650414750697262672370564877482295777735351545028439738178770336398834518224057361962994790504373390782080479803905762391 (211 digits)
  6. Fri Aug 03 04:49:50 2018 no P-1/P+1/ECM available, skipping
  7. Fri Aug 03 04:49:50 2018 commencing number field sieve (211-digit input)
  8. Fri Aug 03 04:49:50 2018 R0: 48965028505045123993421250406516036571557
  9. Fri Aug 03 04:49:50 2018 R1: -1
  10. Fri Aug 03 04:49:50 2018 A0: 1
  11. Fri Aug 03 04:49:50 2018 A1: 1
  12. Fri Aug 03 04:49:50 2018 A2: 1
  13. Fri Aug 03 04:49:50 2018 A3: 1
  14. Fri Aug 03 04:49:50 2018 A4: 1
  15. Fri Aug 03 04:49:50 2018 A5: 1
  16. Fri Aug 03 04:49:50 2018 A6: 1
  17. Fri Aug 03 04:49:50 2018 skew 1.00, size 4.605e-012, alpha 2.428, combined = 3.608e-013 rroots = 0
  18. Fri Aug 03 04:49:50 2018
  19. Fri Aug 03 04:49:50 2018 commencing relation filtering
  20. Fri Aug 03 04:49:50 2018 setting target matrix density to 100.0
  21. Fri Aug 03 04:49:50 2018 estimated available RAM is 16289.0 MB
  22. Fri Aug 03 04:49:50 2018 commencing duplicate removal, pass 1
  23. Fri Aug 03 04:51:47 2018 error -15 reading relation 12980152
  24. Fri Aug 03 04:51:49 2018 error -15 reading relation 13219669
  25. Fri Aug 03 04:52:28 2018 error -9 reading relation 17608950
  26. Fri Aug 03 04:52:58 2018 error -5 reading relation 20977591
  27. Fri Aug 03 04:53:18 2018 error -15 reading relation 23190227
  28. Fri Aug 03 04:53:19 2018 error -9 reading relation 23287089
  29. Fri Aug 03 04:53:41 2018 error -15 reading relation 25822191
  30. Fri Aug 03 04:53:44 2018 error -9 reading relation 26140621
  31. Fri Aug 03 04:53:57 2018 error -9 reading relation 27631600
  32. Fri Aug 03 05:26:32 2018 error -1 reading relation 237684203
  33. Fri Aug 03 05:26:32 2018 error -5 reading relation 237700158
  34. Fri Aug 03 05:26:35 2018 error -15 reading relation 237983786
  35. Fri Aug 03 05:26:35 2018 error -9 reading relation 237985225
  36. Fri Aug 03 05:26:35 2018 error -15 reading relation 237986166
  37. Fri Aug 03 05:26:35 2018 error -9 reading relation 237988096
  38. Fri Aug 03 05:26:35 2018 error -9 reading relation 237991037
  39. Fri Aug 03 05:26:35 2018 error -15 reading relation 237997255
  40. Fri Aug 03 05:26:35 2018 error -9 reading relation 238003532
  41. Fri Aug 03 05:26:36 2018 error -15 reading relation 238150686
  42. Fri Aug 03 05:26:37 2018 error -9 reading relation 238230673
  43. Fri Aug 03 05:26:40 2018 error -1 reading relation 238608354
  44. Fri Aug 03 05:26:41 2018 error -9 reading relation 238712303
  45. Fri Aug 03 05:26:41 2018 error -15 reading relation 238728169
  46. Fri Aug 03 05:26:44 2018 error -1 reading relation 238993856
  47. Fri Aug 03 05:26:45 2018 error -1 reading relation 239162651
  48. Fri Aug 03 05:26:46 2018 error -15 reading relation 239265253
  49. Fri Aug 03 05:26:46 2018 error -15 reading relation 239270971
  50. Fri Aug 03 05:26:46 2018 error -15 reading relation 239277938
  51. Fri Aug 03 05:26:46 2018 error -15 reading relation 239291836
  52. Fri Aug 03 05:26:47 2018 error -15 reading relation 239357476
  53. Fri Aug 03 05:26:48 2018 error -15 reading relation 239437885
  54. Fri Aug 03 05:26:49 2018 error -9 reading relation 239610652
  55. Fri Aug 03 05:26:49 2018 error -15 reading relation 239629031
  56. Fri Aug 03 05:26:49 2018 error -9 reading relation 239643207
  57. Fri Aug 03 05:26:50 2018 error -15 reading relation 239680416
  58. Fri Aug 03 05:26:51 2018 error -9 reading relation 239767936
  59. Fri Aug 03 05:26:51 2018 error -9 reading relation 239777114
  60. Fri Aug 03 05:26:51 2018 error -9 reading relation 239782951
  61. Fri Aug 03 05:26:51 2018 error -1 reading relation 239786996
  62. Fri Aug 03 05:26:52 2018 error -9 reading relation 239970033
  63. Fri Aug 03 05:26:55 2018 error -5 reading relation 240212322
  64. Fri Aug 03 05:26:57 2018 error -9 reading relation 240471217
  65. Fri Aug 03 05:26:57 2018 error -15 reading relation 240508309
  66. Fri Aug 03 05:27:56 2018 skipped 60 relations with b > 2^32
  67. Fri Aug 03 05:27:56 2018 found 51679885 hash collisions in 243013971 relations
  68. Fri Aug 03 05:27:56 2018 commencing duplicate removal, pass 2
  69. Fri Aug 03 05:31:35 2018 found 52509556 duplicates and 190504415 unique relations
  70. Fri Aug 03 05:31:35 2018 memory use: 1321.5 MB
  71. Fri Aug 03 05:31:35 2018 reading ideals above 149880832
  72. Fri Aug 03 05:31:35 2018 commencing singleton removal, initial pass
  73. Fri Aug 03 06:04:03 2018 memory use: 3012.0 MB
  74. Fri Aug 03 06:04:03 2018 reading all ideals from disk
  75. Fri Aug 03 06:04:30 2018 memory use: 3194.9 MB
  76. Fri Aug 03 06:04:36 2018 commencing in-memory singleton removal
  77. Fri Aug 03 06:04:42 2018 begin with 190504415 relations and 157030311 unique ideals
  78. Fri Aug 03 06:05:48 2018 reduce to 121100394 relations and 80232876 ideals in 14 passes
  79. Fri Aug 03 06:05:48 2018 max relations containing the same ideal: 34
  80. Fri Aug 03 06:05:57 2018 reading ideals above 720000
  81. Fri Aug 03 06:05:57 2018 commencing singleton removal, initial pass
  82. Fri Aug 03 06:30:57 2018 memory use: 2756.0 MB
  83. Fri Aug 03 06:30:57 2018 reading all ideals from disk
  84. Fri Aug 03 06:31:00 2018 memory use: 4714.3 MB
  85. Fri Aug 03 06:31:12 2018 keeping 96487415 ideals with weight <= 200, target excess is 621256
  86. Fri Aug 03 06:31:24 2018 commencing in-memory singleton removal
  87. Fri Aug 03 06:31:34 2018 begin with 121100394 relations and 96487415 unique ideals
  88. Fri Aug 03 06:32:42 2018 reduce to 121099701 relations and 96486722 ideals in 7 passes
  89. Fri Aug 03 06:32:42 2018 max relations containing the same ideal: 200
  90. Fri Aug 03 06:33:33 2018 removing 10804110 relations and 8804110 ideals in 2000000 cliques
  91. Fri Aug 03 06:33:36 2018 commencing in-memory singleton removal
  92. Fri Aug 03 06:33:44 2018 begin with 110295591 relations and 96486722 unique ideals
  93. Fri Aug 03 06:34:57 2018 reduce to 109596811 relations and 86969263 ideals in 8 passes
  94. Fri Aug 03 06:34:57 2018 max relations containing the same ideal: 194
  95. Fri Aug 03 06:35:43 2018 removing 8177624 relations and 6177624 ideals in 2000000 cliques
  96. Fri Aug 03 06:35:46 2018 commencing in-memory singleton removal
  97. Fri Aug 03 06:35:53 2018 begin with 101419187 relations and 86969263 unique ideals
  98. Fri Aug 03 06:36:51 2018 reduce to 100952430 relations and 80316476 ideals in 7 passes
  99. Fri Aug 03 06:36:51 2018 max relations containing the same ideal: 186
  100. Fri Aug 03 06:37:35 2018 removing 7407439 relations and 5407439 ideals in 2000000 cliques
  101. Fri Aug 03 06:37:37 2018 commencing in-memory singleton removal
  102. Fri Aug 03 06:37:44 2018 begin with 93544991 relations and 80316476 unique ideals
  103. Fri Aug 03 06:38:37 2018 reduce to 93135348 relations and 74491698 ideals in 7 passes
  104. Fri Aug 03 06:38:37 2018 max relations containing the same ideal: 179
  105. Fri Aug 03 06:39:17 2018 removing 7007376 relations and 5007376 ideals in 2000000 cliques
  106. Fri Aug 03 06:39:19 2018 commencing in-memory singleton removal
  107. Fri Aug 03 06:39:25 2018 begin with 86127972 relations and 74491698 unique ideals
  108. Fri Aug 03 06:40:14 2018 reduce to 85741457 relations and 69090237 ideals in 7 passes
  109. Fri Aug 03 06:40:14 2018 max relations containing the same ideal: 170
  110. Fri Aug 03 06:40:51 2018 removing 6758657 relations and 4758657 ideals in 2000000 cliques
  111. Fri Aug 03 06:40:53 2018 commencing in-memory singleton removal
  112. Fri Aug 03 06:40:59 2018 begin with 78982800 relations and 69090237 unique ideals
  113. Fri Aug 03 06:41:37 2018 reduce to 78604070 relations and 63945133 ideals in 6 passes
  114. Fri Aug 03 06:41:37 2018 max relations containing the same ideal: 159
  115. Fri Aug 03 06:42:11 2018 removing 6585283 relations and 4585283 ideals in 2000000 cliques
  116. Fri Aug 03 06:42:13 2018 commencing in-memory singleton removal
  117. Fri Aug 03 06:42:18 2018 begin with 72018787 relations and 63945133 unique ideals
  118. Fri Aug 03 06:42:58 2018 reduce to 71637425 relations and 58970033 ideals in 7 passes
  119. Fri Aug 03 06:42:58 2018 max relations containing the same ideal: 150
  120. Fri Aug 03 06:43:29 2018 removing 6467718 relations and 4467718 ideals in 2000000 cliques
  121. Fri Aug 03 06:43:31 2018 commencing in-memory singleton removal
  122. Fri Aug 03 06:43:36 2018 begin with 65169707 relations and 58970033 unique ideals
  123. Fri Aug 03 06:44:12 2018 reduce to 64776048 relations and 54099158 ideals in 7 passes
  124. Fri Aug 03 06:44:12 2018 max relations containing the same ideal: 139
  125. Fri Aug 03 06:44:40 2018 removing 6377169 relations and 4377169 ideals in 2000000 cliques
  126. Fri Aug 03 06:44:42 2018 commencing in-memory singleton removal
  127. Fri Aug 03 06:44:46 2018 begin with 58398879 relations and 54099158 unique ideals
  128. Fri Aug 03 06:45:18 2018 reduce to 57985271 relations and 49297456 ideals in 7 passes
  129. Fri Aug 03 06:45:18 2018 max relations containing the same ideal: 129
  130. Fri Aug 03 06:45:43 2018 removing 6309501 relations and 4309501 ideals in 2000000 cliques
  131. Fri Aug 03 06:45:45 2018 commencing in-memory singleton removal
  132. Fri Aug 03 06:45:49 2018 begin with 51675770 relations and 49297456 unique ideals
  133. Fri Aug 03 06:46:17 2018 reduce to 51231648 relations and 44530830 ideals in 7 passes
  134. Fri Aug 03 06:46:17 2018 max relations containing the same ideal: 123
  135. Fri Aug 03 06:46:39 2018 removing 6263085 relations and 4263085 ideals in 2000000 cliques
  136. Fri Aug 03 06:46:41 2018 commencing in-memory singleton removal
  137. Fri Aug 03 06:46:44 2018 begin with 44968563 relations and 44530830 unique ideals
  138. Fri Aug 03 06:47:11 2018 reduce to 44482664 relations and 39765461 ideals in 8 passes
  139. Fri Aug 03 06:47:11 2018 max relations containing the same ideal: 109
  140. Fri Aug 03 06:47:31 2018 removing 6229816 relations and 4229816 ideals in 2000000 cliques
  141. Fri Aug 03 06:47:33 2018 commencing in-memory singleton removal
  142. Fri Aug 03 06:47:36 2018 begin with 38252848 relations and 39765461 unique ideals
  143. Fri Aug 03 06:47:59 2018 reduce to 37693864 relations and 34955313 ideals in 8 passes
  144. Fri Aug 03 06:47:59 2018 max relations containing the same ideal: 94
  145. Fri Aug 03 06:48:16 2018 removing 6232042 relations and 4232042 ideals in 2000000 cliques
  146. Fri Aug 03 06:48:17 2018 commencing in-memory singleton removal
  147. Fri Aug 03 06:48:19 2018 begin with 31461822 relations and 34955313 unique ideals
  148. Fri Aug 03 06:48:38 2018 reduce to 30770548 relations and 30000465 ideals in 8 passes
  149. Fri Aug 03 06:48:38 2018 max relations containing the same ideal: 82
  150. Fri Aug 03 06:48:52 2018 removing 299281 relations and 249855 ideals in 49426 cliques
  151. Fri Aug 03 06:48:52 2018 commencing in-memory singleton removal
  152. Fri Aug 03 06:48:54 2018 begin with 30471267 relations and 30000465 unique ideals
  153. Fri Aug 03 06:49:08 2018 reduce to 30469013 relations and 29748354 ideals in 6 passes
  154. Fri Aug 03 06:49:08 2018 max relations containing the same ideal: 82
  155. Fri Aug 03 06:49:13 2018 relations with 0 large ideals: 47535
  156. Fri Aug 03 06:49:13 2018 relations with 1 large ideals: 10063
  157. Fri Aug 03 06:49:13 2018 relations with 2 large ideals: 127702
  158. Fri Aug 03 06:49:13 2018 relations with 3 large ideals: 831040
  159. Fri Aug 03 06:49:13 2018 relations with 4 large ideals: 2920754
  160. Fri Aug 03 06:49:13 2018 relations with 5 large ideals: 6122787
  161. Fri Aug 03 06:49:13 2018 relations with 6 large ideals: 8011669
  162. Fri Aug 03 06:49:13 2018 relations with 7+ large ideals: 12397463
  163. Fri Aug 03 06:49:13 2018 commencing 2-way merge
  164. Fri Aug 03 06:49:32 2018 reduce to 20340339 relation sets and 19619680 unique ideals
  165. Fri Aug 03 06:49:32 2018 commencing full merge
  166. Fri Aug 03 06:57:39 2018 memory use: 2616.3 MB
  167. Fri Aug 03 06:57:43 2018 found 9675235 cycles, need 9601880
  168. Fri Aug 03 06:57:44 2018 weight of 9601880 cycles is about 960498191 (100.03/cycle)
  169. Fri Aug 03 06:57:44 2018 distribution of cycle lengths:
  170. Fri Aug 03 06:57:44 2018 1 relations: 554197
  171. Fri Aug 03 06:57:44 2018 2 relations: 687854
  172. Fri Aug 03 06:57:44 2018 3 relations: 790081
  173. Fri Aug 03 06:57:44 2018 4 relations: 814715
  174. Fri Aug 03 06:57:44 2018 5 relations: 828573
  175. Fri Aug 03 06:57:44 2018 6 relations: 811531
  176. Fri Aug 03 06:57:44 2018 7 relations: 771744
  177. Fri Aug 03 06:57:44 2018 8 relations: 710907
  178. Fri Aug 03 06:57:44 2018 9 relations: 638782
  179. Fri Aug 03 06:57:44 2018 10+ relations: 2993496
  180. Fri Aug 03 06:57:44 2018 heaviest cycle: 28 relations
  181. Fri Aug 03 06:57:53 2018 commencing cycle optimization
  182. Fri Aug 03 06:58:09 2018 start with 73881984 relations
  183. Fri Aug 03 07:01:13 2018 pruned 3049149 relations
  184. Fri Aug 03 07:01:13 2018 memory use: 2030.2 MB
  185. Fri Aug 03 07:01:14 2018 distribution of cycle lengths:
  186. Fri Aug 03 07:01:14 2018 1 relations: 554197
  187. Fri Aug 03 07:01:14 2018 2 relations: 703022
  188. Fri Aug 03 07:01:14 2018 3 relations: 821420
  189. Fri Aug 03 07:01:14 2018 4 relations: 846843
  190. Fri Aug 03 07:01:14 2018 5 relations: 869202
  191. Fri Aug 03 07:01:14 2018 6 relations: 847577
  192. Fri Aug 03 07:01:14 2018 7 relations: 808580
  193. Fri Aug 03 07:01:14 2018 8 relations: 738206
  194. Fri Aug 03 07:01:14 2018 9 relations: 659431
  195. Fri Aug 03 07:01:14 2018 10+ relations: 2753402
  196. Fri Aug 03 07:01:14 2018 heaviest cycle: 28 relations
  197. Fri Aug 03 07:01:30 2018 RelProcTime: 7900
  198. Fri Aug 03 07:01:30 2018
  199. Fri Aug 03 07:01:30 2018 commencing linear algebra
  200. Fri Aug 03 07:01:33 2018 read 9601880 cycles
  201. Fri Aug 03 07:01:50 2018 cycles contain 30098362 unique relations
  202. Fri Aug 03 07:08:04 2018 read 30098362 relations
  203. Fri Aug 03 07:08:52 2018 using 20 quadratic characters above 2147483550
  204. Fri Aug 03 07:10:53 2018 building initial matrix
  205. Fri Aug 03 07:16:09 2018 memory use: 3684.2 MB
  206. Fri Aug 03 07:16:36 2018 read 9601880 cycles
  207. Fri Aug 03 07:16:39 2018 matrix is 9601701 x 9601880 (3862.2 MB) with weight 1102761484 (114.85/col)
  208. Fri Aug 03 07:16:39 2018 sparse part has weight 906843365 (94.44/col)
  209. Fri Aug 03 07:18:37 2018 filtering completed in 2 passes
  210. Fri Aug 03 07:18:40 2018 matrix is 9601059 x 9601238 (3862.2 MB) with weight 1102739771 (114.85/col)
  211. Fri Aug 03 07:18:40 2018 sparse part has weight 906835018 (94.45/col)
  212. Fri Aug 03 07:20:00 2018 matrix starts at (0, 0)
  213. Fri Aug 03 07:20:02 2018 matrix is 9601059 x 9601238 (3862.2 MB) with weight 1102739771 (114.85/col)
  214. Fri Aug 03 07:20:02 2018 sparse part has weight 906835018 (94.45/col)
  215. Fri Aug 03 07:20:02 2018 saving the first 48 matrix rows for later
  216. Fri Aug 03 07:20:05 2018 matrix includes 64 packed rows
  217. Fri Aug 03 07:20:07 2018 matrix is 9601011 x 9601238 (3691.4 MB) with weight 933865295 (97.27/col)
  218. Fri Aug 03 07:20:07 2018 sparse part has weight 871673653 (90.79/col)
  219. Fri Aug 03 07:20:07 2018 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  220. Fri Aug 03 07:20:51 2018 commencing Lanczos iteration (8 threads)
  221. Fri Aug 03 07:20:51 2018 memory use: 3124.5 MB
  222. Fri Aug 03 07:22:00 2018 linear algebra at 0.0%, ETA 116h19m
  223. Fri Aug 03 07:22:22 2018 checkpointing every 90000 dimensions
  224. Wed Aug 08 03:07:17 2018 lanczos halted after 151825 iterations (dim = 9601009)
  225. Wed Aug 08 03:07:29 2018 recovered 37 nontrivial dependencies
  226. Wed Aug 08 03:07:35 2018 BLanczosTime: 417965
  227. Wed Aug 08 03:07:35 2018
  228. Wed Aug 08 03:07:35 2018 commencing square root phase
  229. Wed Aug 08 03:07:35 2018 handling dependencies 1 to 64
  230. Wed Aug 08 03:07:35 2018 reading relations for dependency 1
  231. Wed Aug 08 03:07:37 2018 read 4801531 cycles
  232. Wed Aug 08 03:07:45 2018 cycles contain 15051246 unique relations
  233. Wed Aug 08 03:13:18 2018 read 15051246 relations
  234. Wed Aug 08 03:14:35 2018 multiplying 15051246 relations
  235. Wed Aug 08 03:25:47 2018 multiply complete, coefficients have about 373.84 million bits
  236. Wed Aug 08 03:25:51 2018 initial square root is modulo 5103467
  237. Wed Aug 08 03:39:57 2018 GCD is 1, no factor found
  238. Wed Aug 08 03:39:57 2018 reading relations for dependency 2
  239. Wed Aug 08 03:40:13 2018 read 4800828 cycles
  240. Wed Aug 08 03:40:20 2018 cycles contain 15050038 unique relations
  241. Wed Aug 08 03:45:59 2018 read 15050038 relations
  242. Wed Aug 08 03:47:14 2018 multiplying 15050038 relations
  243. Wed Aug 08 03:58:26 2018 multiply complete, coefficients have about 373.81 million bits
  244. Wed Aug 08 03:58:31 2018 initial square root is modulo 5097139
  245. Wed Aug 08 04:12:38 2018 sqrtTime: 3903
  246. Wed Aug 08 04:12:38 2018 prp76 factor: 4570836173795980903982001816484329633269797488577562934775156058681525614427
  247. Wed Aug 08 04:12:38 2018 prp135 factor: 248205738012635046533317845200655468507456490121242480564667164388196143828037210032349892542080053041776283976202970903830190861226933
  248. Wed Aug 08 04:12:38 2018 elapsed time 119:22:49
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