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Msieve log of 193__363_5m1

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Jun 4th, 2020
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  1. Wed Jun 03 19:14:40 2020
  2. Wed Jun 03 19:14:40 2020
  3. Wed Jun 03 19:14:40 2020 Msieve v. 1.53 (SVN 988)
  4. Wed Jun 03 19:14:40 2020 random seeds: d349e550 aaaf407c
  5. Wed Jun 03 19:14:40 2020 factoring 56056828033750601477101285208946605160236514142587505740914330052648219617936227026159549678641233959974220774041630959336390457568199849292308954967011 (152 digits)
  6. Wed Jun 03 19:14:41 2020 searching for 15-digit factors
  7. Wed Jun 03 19:14:41 2020 commencing number field sieve (152-digit input)
  8. Wed Jun 03 19:14:41 2020 R0: -248799921693312570095809019164
  9. Wed Jun 03 19:14:41 2020 R1: 129409585155667
  10. Wed Jun 03 19:14:41 2020 A0: 325519681555183737391140057467795105
  11. Wed Jun 03 19:14:41 2020 A1: 26146906104183206452806632927620
  12. Wed Jun 03 19:14:41 2020 A2: 17803121101686232276290259
  13. Wed Jun 03 19:14:41 2020 A3: -5152833240347995292
  14. Wed Jun 03 19:14:41 2020 A4: -803643067012
  15. Wed Jun 03 19:14:41 2020 A5: 58800
  16. Wed Jun 03 19:14:41 2020 skew 1.00, size 8.933e-015, alpha -7.170, combined = 4.239e-014 rroots = 5
  17. Wed Jun 03 19:14:41 2020
  18. Wed Jun 03 19:14:41 2020 commencing relation filtering
  19. Wed Jun 03 19:14:41 2020 setting target matrix density to 130.0
  20. Wed Jun 03 19:14:41 2020 estimated available RAM is 12043.5 MB
  21. Wed Jun 03 19:14:41 2020 commencing duplicate removal, pass 1
  22. Wed Jun 03 19:15:04 2020 error -15 reading relation 1718323
  23. Wed Jun 03 19:16:51 2020 error -9 reading relation 9307516
  24. Wed Jun 03 19:18:17 2020 error -15 reading relation 15663993
  25. Wed Jun 03 19:18:18 2020 error -5 reading relation 15698746
  26. Wed Jun 03 19:19:07 2020 error -1 reading relation 19378997
  27. Wed Jun 03 19:19:08 2020 error -15 reading relation 19411619
  28. Wed Jun 03 19:19:23 2020 error -15 reading relation 20492748
  29. Wed Jun 03 19:19:55 2020 error -9 reading relation 22847616
  30. Wed Jun 03 19:20:48 2020 error -15 reading relation 26699844
  31. Wed Jun 03 19:21:07 2020 error -9 reading relation 28118816
  32. Wed Jun 03 19:21:10 2020 error -9 reading relation 28294223
  33. Wed Jun 03 19:21:29 2020 error -9 reading relation 29706231
  34. Wed Jun 03 19:21:34 2020 error -5 reading relation 30031080
  35. Wed Jun 03 19:21:38 2020 error -1 reading relation 30377262
  36. Wed Jun 03 19:21:47 2020 error -9 reading relation 30984612
  37. Wed Jun 03 19:22:05 2020 error -15 reading relation 32351599
  38. Wed Jun 03 19:22:26 2020 error -15 reading relation 33886879
  39. Wed Jun 03 19:22:59 2020 error -5 reading relation 36248838
  40. Wed Jun 03 19:23:08 2020 error -9 reading relation 36928517
  41. Wed Jun 03 19:23:23 2020 error -9 reading relation 38041595
  42. Wed Jun 03 19:23:35 2020 error -15 reading relation 38942956
  43. Wed Jun 03 19:23:51 2020 error -15 reading relation 40035032
  44. Wed Jun 03 19:24:06 2020 error -9 reading relation 41084253
  45. Wed Jun 03 19:24:34 2020 error -9 reading relation 43196140
  46. Wed Jun 03 19:24:35 2020 error -9 reading relation 43254562
  47. Wed Jun 03 19:24:36 2020 error -1 reading relation 43277058
  48. Wed Jun 03 19:24:36 2020 error -15 reading relation 43285296
  49. Wed Jun 03 19:24:49 2020 error -15 reading relation 44249405
  50. Wed Jun 03 19:25:13 2020 error -9 reading relation 45955820
  51. Wed Jun 03 19:25:13 2020 error -9 reading relation 45994088
  52. Wed Jun 03 19:25:15 2020 error -9 reading relation 46106012
  53. Wed Jun 03 19:25:24 2020 error -15 reading relation 46782860
  54. Wed Jun 03 19:25:34 2020 error -15 reading relation 47502764
  55. Wed Jun 03 19:26:53 2020 error -15 reading relation 52955920
  56. Wed Jun 03 19:27:01 2020 error -15 reading relation 53512874
  57. Wed Jun 03 19:27:01 2020 error -15 reading relation 53516453
  58. Wed Jun 03 19:27:05 2020 error -15 reading relation 53796312
  59. Wed Jun 03 19:27:11 2020 error -15 reading relation 54296345
  60. Wed Jun 03 19:27:25 2020 error -15 reading relation 55435703
  61. Wed Jun 03 19:27:42 2020 error -5 reading relation 56656042
  62. Wed Jun 03 19:27:51 2020 error -15 reading relation 57351550
  63. Wed Jun 03 19:27:54 2020 error -15 reading relation 57549055
  64. Wed Jun 03 19:28:02 2020 error -15 reading relation 58126844
  65. Wed Jun 03 19:28:02 2020 error -15 reading relation 58153753
  66. Wed Jun 03 19:28:03 2020 error -15 reading relation 58190126
  67. Wed Jun 03 19:28:04 2020 error -9 reading relation 58311489
  68. Wed Jun 03 19:28:17 2020 error -9 reading relation 59300131
  69. Wed Jun 03 19:28:19 2020 error -15 reading relation 59518898
  70. Wed Jun 03 19:28:20 2020 error -9 reading relation 59552872
  71. Wed Jun 03 19:28:31 2020 error -1 reading relation 60359033
  72. Wed Jun 03 19:28:31 2020 error -9 reading relation 60373189
  73. Wed Jun 03 19:28:42 2020 error -1 reading relation 61248605
  74. Wed Jun 03 19:28:56 2020 error -15 reading relation 62416416
  75. Wed Jun 03 19:29:12 2020 error -15 reading relation 63672311
  76. Wed Jun 03 19:29:14 2020 error -9 reading relation 63778587
  77. Wed Jun 03 19:29:16 2020 error -15 reading relation 63944436
  78. Wed Jun 03 19:29:24 2020 error -15 reading relation 64555522
  79. Wed Jun 03 19:29:32 2020 error -15 reading relation 65122810
  80. Wed Jun 03 19:29:36 2020 error -1 reading relation 65427926
  81. Wed Jun 03 19:29:43 2020 error -9 reading relation 65981438
  82. Wed Jun 03 19:29:45 2020 error -15 reading relation 66110770
  83. Wed Jun 03 19:29:45 2020 error -9 reading relation 66115449
  84. Wed Jun 03 19:29:53 2020 error -15 reading relation 66731232
  85. Wed Jun 03 19:30:01 2020 skipped 16 relations with composite factors
  86. Wed Jun 03 19:30:01 2020 found 12397084 hash collisions in 67279257 relations
  87. Wed Jun 03 19:30:40 2020 added 121947 free relations
  88. Wed Jun 03 19:30:40 2020 commencing duplicate removal, pass 2
  89. Wed Jun 03 19:31:34 2020 found 11425353 duplicates and 55975851 unique relations
  90. Wed Jun 03 19:31:34 2020 memory use: 330.4 MB
  91. Wed Jun 03 19:31:34 2020 reading ideals above 39911424
  92. Wed Jun 03 19:31:34 2020 commencing singleton removal, initial pass
  93. Wed Jun 03 19:41:06 2020 memory use: 1378.0 MB
  94. Wed Jun 03 19:41:06 2020 reading all ideals from disk
  95. Wed Jun 03 19:41:08 2020 memory use: 937.1 MB
  96. Wed Jun 03 19:41:11 2020 commencing in-memory singleton removal
  97. Wed Jun 03 19:41:14 2020 begin with 55975851 relations and 43212051 unique ideals
  98. Wed Jun 03 19:41:39 2020 reduce to 39483923 relations and 25282012 ideals in 12 passes
  99. Wed Jun 03 19:41:39 2020 max relations containing the same ideal: 48
  100. Wed Jun 03 19:41:43 2020 reading ideals above 720000
  101. Wed Jun 03 19:41:43 2020 commencing singleton removal, initial pass
  102. Wed Jun 03 19:49:45 2020 memory use: 753.0 MB
  103. Wed Jun 03 19:49:45 2020 reading all ideals from disk
  104. Wed Jun 03 19:49:48 2020 memory use: 1391.2 MB
  105. Wed Jun 03 19:49:54 2020 keeping 29926133 ideals with weight <= 200, target excess is 213751
  106. Wed Jun 03 19:49:59 2020 commencing in-memory singleton removal
  107. Wed Jun 03 19:50:04 2020 begin with 39483938 relations and 29926133 unique ideals
  108. Wed Jun 03 19:50:30 2020 reduce to 39480698 relations and 29922864 ideals in 6 passes
  109. Wed Jun 03 19:50:30 2020 max relations containing the same ideal: 200
  110. Wed Jun 03 19:50:54 2020 removing 4132507 relations and 3132507 ideals in 1000000 cliques
  111. Wed Jun 03 19:50:56 2020 commencing in-memory singleton removal
  112. Wed Jun 03 19:51:01 2020 begin with 35348191 relations and 29922864 unique ideals
  113. Wed Jun 03 19:51:32 2020 reduce to 35010686 relations and 26442502 ideals in 8 passes
  114. Wed Jun 03 19:51:32 2020 max relations containing the same ideal: 193
  115. Wed Jun 03 19:51:54 2020 removing 3271215 relations and 2271215 ideals in 1000000 cliques
  116. Wed Jun 03 19:51:55 2020 commencing in-memory singleton removal
  117. Wed Jun 03 19:52:00 2020 begin with 31739471 relations and 26442502 unique ideals
  118. Wed Jun 03 19:52:23 2020 reduce to 31505696 relations and 23931032 ideals in 7 passes
  119. Wed Jun 03 19:52:23 2020 max relations containing the same ideal: 183
  120. Wed Jun 03 19:52:43 2020 removing 3038939 relations and 2038939 ideals in 1000000 cliques
  121. Wed Jun 03 19:52:45 2020 commencing in-memory singleton removal
  122. Wed Jun 03 19:52:48 2020 begin with 28466757 relations and 23931032 unique ideals
  123. Wed Jun 03 19:53:10 2020 reduce to 28259490 relations and 21678854 ideals in 7 passes
  124. Wed Jun 03 19:53:10 2020 max relations containing the same ideal: 176
  125. Wed Jun 03 19:53:28 2020 removing 2924352 relations and 1924352 ideals in 1000000 cliques
  126. Wed Jun 03 19:53:29 2020 commencing in-memory singleton removal
  127. Wed Jun 03 19:53:33 2020 begin with 25335138 relations and 21678854 unique ideals
  128. Wed Jun 03 19:53:52 2020 reduce to 25132685 relations and 19545741 ideals in 7 passes
  129. Wed Jun 03 19:53:52 2020 max relations containing the same ideal: 158
  130. Wed Jun 03 19:54:08 2020 removing 2857681 relations and 1857681 ideals in 1000000 cliques
  131. Wed Jun 03 19:54:09 2020 commencing in-memory singleton removal
  132. Wed Jun 03 19:54:12 2020 begin with 22275004 relations and 19545741 unique ideals
  133. Wed Jun 03 19:54:26 2020 reduce to 22068478 relations and 17474496 ideals in 6 passes
  134. Wed Jun 03 19:54:26 2020 max relations containing the same ideal: 144
  135. Wed Jun 03 19:54:40 2020 removing 2813305 relations and 1813305 ideals in 1000000 cliques
  136. Wed Jun 03 19:54:41 2020 commencing in-memory singleton removal
  137. Wed Jun 03 19:54:44 2020 begin with 19255173 relations and 17474496 unique ideals
  138. Wed Jun 03 19:54:56 2020 reduce to 19036415 relations and 15434198 ideals in 6 passes
  139. Wed Jun 03 19:54:56 2020 max relations containing the same ideal: 133
  140. Wed Jun 03 19:55:09 2020 removing 2788877 relations and 1788877 ideals in 1000000 cliques
  141. Wed Jun 03 19:55:10 2020 commencing in-memory singleton removal
  142. Wed Jun 03 19:55:12 2020 begin with 16247538 relations and 15434198 unique ideals
  143. Wed Jun 03 19:55:22 2020 reduce to 16004638 relations and 13391845 ideals in 6 passes
  144. Wed Jun 03 19:55:22 2020 max relations containing the same ideal: 117
  145. Wed Jun 03 19:55:33 2020 removing 2780664 relations and 1780664 ideals in 1000000 cliques
  146. Wed Jun 03 19:55:34 2020 commencing in-memory singleton removal
  147. Wed Jun 03 19:55:36 2020 begin with 13223974 relations and 13391845 unique ideals
  148. Wed Jun 03 19:55:44 2020 reduce to 12945512 relations and 11318648 ideals in 6 passes
  149. Wed Jun 03 19:55:44 2020 max relations containing the same ideal: 103
  150. Wed Jun 03 19:55:54 2020 removing 2775583 relations and 1775583 ideals in 1000000 cliques
  151. Wed Jun 03 19:55:55 2020 commencing in-memory singleton removal
  152. Wed Jun 03 19:55:56 2020 begin with 10169929 relations and 11318648 unique ideals
  153. Wed Jun 03 19:56:04 2020 reduce to 9828597 relations and 9179893 ideals in 8 passes
  154. Wed Jun 03 19:56:04 2020 max relations containing the same ideal: 83
  155. Wed Jun 03 19:56:11 2020 removing 1314854 relations and 914102 ideals in 400752 cliques
  156. Wed Jun 03 19:56:12 2020 commencing in-memory singleton removal
  157. Wed Jun 03 19:56:13 2020 begin with 8513743 relations and 9179893 unique ideals
  158. Wed Jun 03 19:56:19 2020 reduce to 8389225 relations and 8136888 ideals in 7 passes
  159. Wed Jun 03 19:56:19 2020 max relations containing the same ideal: 75
  160. Wed Jun 03 19:56:26 2020 relations with 0 large ideals: 681
  161. Wed Jun 03 19:56:26 2020 relations with 1 large ideals: 2317
  162. Wed Jun 03 19:56:26 2020 relations with 2 large ideals: 34566
  163. Wed Jun 03 19:56:26 2020 relations with 3 large ideals: 235155
  164. Wed Jun 03 19:56:26 2020 relations with 4 large ideals: 849921
  165. Wed Jun 03 19:56:26 2020 relations with 5 large ideals: 1786899
  166. Wed Jun 03 19:56:26 2020 relations with 6 large ideals: 2324325
  167. Wed Jun 03 19:56:26 2020 relations with 7+ large ideals: 3155361
  168. Wed Jun 03 19:56:26 2020 commencing 2-way merge
  169. Wed Jun 03 19:56:34 2020 reduce to 5611146 relation sets and 5358809 unique ideals
  170. Wed Jun 03 19:56:34 2020 commencing full merge
  171. Wed Jun 03 19:59:37 2020 memory use: 718.3 MB
  172. Wed Jun 03 19:59:39 2020 found 2481487 cycles, need 2471009
  173. Wed Jun 03 19:59:39 2020 weight of 2471009 cycles is about 321502161 (130.11/cycle)
  174. Wed Jun 03 19:59:39 2020 distribution of cycle lengths:
  175. Wed Jun 03 19:59:39 2020 1 relations: 46678
  176. Wed Jun 03 19:59:39 2020 2 relations: 110402
  177. Wed Jun 03 19:59:39 2020 3 relations: 147239
  178. Wed Jun 03 19:59:39 2020 4 relations: 162059
  179. Wed Jun 03 19:59:39 2020 5 relations: 177797
  180. Wed Jun 03 19:59:39 2020 6 relations: 182181
  181. Wed Jun 03 19:59:39 2020 7 relations: 185351
  182. Wed Jun 03 19:59:39 2020 8 relations: 179354
  183. Wed Jun 03 19:59:39 2020 9 relations: 170708
  184. Wed Jun 03 19:59:39 2020 10+ relations: 1109240
  185. Wed Jun 03 19:59:39 2020 heaviest cycle: 28 relations
  186. Wed Jun 03 19:59:40 2020 commencing cycle optimization
  187. Wed Jun 03 19:59:46 2020 start with 23758620 relations
  188. Wed Jun 03 20:01:13 2020 pruned 1338740 relations
  189. Wed Jun 03 20:01:13 2020 memory use: 592.3 MB
  190. Wed Jun 03 20:01:13 2020 distribution of cycle lengths:
  191. Wed Jun 03 20:01:13 2020 1 relations: 46678
  192. Wed Jun 03 20:01:13 2020 2 relations: 113856
  193. Wed Jun 03 20:01:13 2020 3 relations: 154298
  194. Wed Jun 03 20:01:13 2020 4 relations: 170672
  195. Wed Jun 03 20:01:13 2020 5 relations: 189099
  196. Wed Jun 03 20:01:13 2020 6 relations: 194017
  197. Wed Jun 03 20:01:13 2020 7 relations: 198301
  198. Wed Jun 03 20:01:13 2020 8 relations: 191247
  199. Wed Jun 03 20:01:13 2020 9 relations: 182308
  200. Wed Jun 03 20:01:13 2020 10+ relations: 1030533
  201. Wed Jun 03 20:01:13 2020 heaviest cycle: 28 relations
  202. Wed Jun 03 20:01:18 2020 RelProcTime: 2797
  203. Wed Jun 03 20:01:18 2020
  204. Wed Jun 03 20:01:18 2020 commencing linear algebra
  205. Wed Jun 03 20:01:18 2020 read 2471009 cycles
  206. Wed Jun 03 20:01:26 2020 cycles contain 8249274 unique relations
  207. Wed Jun 03 20:02:55 2020 read 8249274 relations
  208. Wed Jun 03 20:03:16 2020 using 20 quadratic characters above 4294917295
  209. Wed Jun 03 20:04:13 2020 building initial matrix
  210. Wed Jun 03 20:07:03 2020 memory use: 1130.7 MB
  211. Wed Jun 03 20:07:07 2020 read 2471009 cycles
  212. Wed Jun 03 20:07:07 2020 matrix is 2470832 x 2471009 (1234.0 MB) with weight 379881140 (153.74/col)
  213. Wed Jun 03 20:07:07 2020 sparse part has weight 293821488 (118.91/col)
  214. Wed Jun 03 20:07:49 2020 filtering completed in 2 passes
  215. Wed Jun 03 20:07:50 2020 matrix is 2470807 x 2470984 (1234.0 MB) with weight 379880040 (153.74/col)
  216. Wed Jun 03 20:07:50 2020 sparse part has weight 293821280 (118.91/col)
  217. Wed Jun 03 20:08:00 2020 matrix starts at (0, 0)
  218. Wed Jun 03 20:08:01 2020 matrix is 2470807 x 2470984 (1234.0 MB) with weight 379880040 (153.74/col)
  219. Wed Jun 03 20:08:01 2020 sparse part has weight 293821280 (118.91/col)
  220. Wed Jun 03 20:08:01 2020 saving the first 48 matrix rows for later
  221. Wed Jun 03 20:08:02 2020 matrix includes 64 packed rows
  222. Wed Jun 03 20:08:02 2020 matrix is 2470759 x 2470984 (1207.1 MB) with weight 327494374 (132.54/col)
  223. Wed Jun 03 20:08:02 2020 sparse part has weight 291727410 (118.06/col)
  224. Wed Jun 03 20:08:02 2020 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  225. Wed Jun 03 20:08:25 2020 commencing Lanczos iteration (4 threads)
  226. Wed Jun 03 20:08:25 2020 memory use: 990.1 MB
  227. Wed Jun 03 20:08:41 2020 linear algebra at 0.1%, ETA 7h12m
  228. Wed Jun 03 20:08:46 2020 checkpointing every 350000 dimensions
  229. Thu Jun 04 03:15:59 2020 lanczos halted after 39069 iterations (dim = 2470757)
  230. Thu Jun 04 03:16:03 2020 recovered 29 nontrivial dependencies
  231. Thu Jun 04 03:16:03 2020 BLanczosTime: 26085
  232. Thu Jun 04 03:16:03 2020
  233. Thu Jun 04 03:16:03 2020 commencing square root phase
  234. Thu Jun 04 03:16:03 2020 handling dependencies 1 to 64
  235. Thu Jun 04 03:16:03 2020 reading relations for dependency 1
  236. Thu Jun 04 03:16:04 2020 read 1235848 cycles
  237. Thu Jun 04 03:16:08 2020 cycles contain 4126076 unique relations
  238. Thu Jun 04 03:16:58 2020 read 4126076 relations
  239. Thu Jun 04 03:17:23 2020 multiplying 4126076 relations
  240. Thu Jun 04 03:22:13 2020 multiply complete, coefficients have about 213.93 million bits
  241. Thu Jun 04 03:22:15 2020 initial square root is modulo 47585939
  242. Thu Jun 04 03:28:03 2020 sqrtTime: 720
  243. Thu Jun 04 03:28:03 2020 p57 factor: 895178594347481531272112581938182014427790057807297429211
  244. Thu Jun 04 03:28:03 2020 p95 factor: 62620831628142148150407305993472321647040745439484172131235433132327128134522192120054091579801
  245. Thu Jun 04 03:28:03 2020 elapsed time 08:13:23
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