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3109_61m1

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Nov 8th, 2018
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  1. Wed Nov 07 18:33:56 2018
  2. Wed Nov 07 18:33:56 2018
  3. Wed Nov 07 18:33:56 2018 Msieve v. 1.54 (SVN 1018)
  4. Wed Nov 07 18:33:56 2018 random seeds: e40f29a0 222b9631
  5. Wed Nov 07 18:33:56 2018 factoring 197103660669395653858912094640744101201235700706589229524929736924897933443162855407929724202977179654206774116494201399945859219091696296204383126635688421371232492950162836173550272589626776986795773240771 (207 digits)
  6. Wed Nov 07 18:33:57 2018 searching for 15-digit factors
  7. Wed Nov 07 18:33:57 2018 commencing number field sieve (207-digit input)
  8. Wed Nov 07 18:33:57 2018 R0: 815546380333893232173936367759057305251281
  9. Wed Nov 07 18:33:57 2018 R1: -1
  10. Wed Nov 07 18:33:57 2018 A0: -1
  11. Wed Nov 07 18:33:57 2018 A1: 0
  12. Wed Nov 07 18:33:57 2018 A2: 0
  13. Wed Nov 07 18:33:57 2018 A3: 0
  14. Wed Nov 07 18:33:57 2018 A4: 0
  15. Wed Nov 07 18:33:57 2018 A5: 3109
  16. Wed Nov 07 18:33:57 2018 skew 0.20, size 5.680e-015, alpha 1.442, combined = 3.350e-012 rroots = 1
  17. Wed Nov 07 18:33:57 2018
  18. Wed Nov 07 18:33:57 2018 commencing relation filtering
  19. Wed Nov 07 18:33:57 2018 setting target matrix density to 70.0
  20. Wed Nov 07 18:33:57 2018 estimated available RAM is 16335.3 MB
  21. Wed Nov 07 18:33:57 2018 commencing duplicate removal, pass 1
  22. Wed Nov 07 18:34:45 2018 error -5 reading relation 5565907
  23. Wed Nov 07 18:35:32 2018 error -9 reading relation 10997398
  24. Wed Nov 07 18:35:41 2018 error -5 reading relation 12096749
  25. Wed Nov 07 18:35:54 2018 error -5 reading relation 13544387
  26. Wed Nov 07 18:36:03 2018 error -9 reading relation 14702031
  27. Wed Nov 07 18:36:23 2018 error -9 reading relation 17082280
  28. Wed Nov 07 18:36:39 2018 error -5 reading relation 18865677
  29. Wed Nov 07 18:36:58 2018 error -15 reading relation 21199140
  30. Wed Nov 07 18:37:00 2018 error -1 reading relation 21425018
  31. Wed Nov 07 18:37:05 2018 error -9 reading relation 21956893
  32. Wed Nov 07 18:37:05 2018 error -9 reading relation 22004111
  33. Wed Nov 07 18:37:06 2018 error -9 reading relation 22083046
  34. Wed Nov 07 18:37:06 2018 error -15 reading relation 22124771
  35. Wed Nov 07 18:37:06 2018 error -15 reading relation 22177744
  36. Wed Nov 07 18:37:14 2018 error -9 reading relation 23067905
  37. Wed Nov 07 18:37:14 2018 error -9 reading relation 23077049
  38. Wed Nov 07 18:37:18 2018 error -5 reading relation 23655760
  39. Wed Nov 07 18:37:20 2018 error -9 reading relation 23888682
  40. Wed Nov 07 18:37:22 2018 error -9 reading relation 24089496
  41. Wed Nov 07 18:37:29 2018 error -9 reading relation 24908745
  42. Wed Nov 07 18:37:30 2018 error -9 reading relation 25080482
  43. Wed Nov 07 18:37:40 2018 error -1 reading relation 26317504
  44. Wed Nov 07 18:37:50 2018 error -5 reading relation 27437030
  45. Wed Nov 07 18:37:51 2018 error -15 reading relation 27625454
  46. Wed Nov 07 18:37:51 2018 error -5 reading relation 27663394
  47. Wed Nov 07 18:37:52 2018 error -9 reading relation 27782755
  48. Wed Nov 07 18:37:56 2018 error -9 reading relation 28194168
  49. Wed Nov 07 18:37:58 2018 error -5 reading relation 28442780
  50. Wed Nov 07 18:37:58 2018 error -9 reading relation 28451124
  51. Wed Nov 07 18:37:59 2018 error -9 reading relation 28533349
  52. Wed Nov 07 18:38:07 2018 error -9 reading relation 29562492
  53. Wed Nov 07 18:38:13 2018 error -15 reading relation 30275187
  54. Wed Nov 07 18:38:27 2018 error -15 reading relation 31923581
  55. Wed Nov 07 18:38:30 2018 error -9 reading relation 32337371
  56. Wed Nov 07 18:38:31 2018 error -9 reading relation 32462817
  57. Wed Nov 07 18:38:34 2018 error -15 reading relation 32801074
  58. Wed Nov 07 18:38:36 2018 error -1 reading relation 33042822
  59. Wed Nov 07 18:38:36 2018 error -11 reading relation 33042823
  60. Wed Nov 07 18:38:36 2018 error -9 reading relation 33069559
  61. Wed Nov 07 18:38:37 2018 error -15 reading relation 33149792
  62. Wed Nov 07 18:38:37 2018 error -5 reading relation 33218530
  63. Wed Nov 07 18:38:38 2018 error -5 reading relation 33289233
  64. Wed Nov 07 18:38:38 2018 error -9 reading relation 33385977
  65. Wed Nov 07 18:38:40 2018 error -9 reading relation 33570225
  66. Wed Nov 07 18:38:44 2018 error -5 reading relation 34084257
  67. Wed Nov 07 18:38:48 2018 error -9 reading relation 34602035
  68. Wed Nov 07 18:38:50 2018 error -9 reading relation 34769157
  69. Wed Nov 07 18:38:55 2018 error -15 reading relation 35394897
  70. Wed Nov 07 18:38:56 2018 error -9 reading relation 35565195
  71. Wed Nov 07 18:39:01 2018 error -15 reading relation 36084681
  72. Wed Nov 07 18:39:08 2018 error -9 reading relation 36930508
  73. Wed Nov 07 18:39:08 2018 error -9 reading relation 36939911
  74. Wed Nov 07 18:39:08 2018 error -5 reading relation 36943312
  75. Wed Nov 07 18:39:08 2018 error -15 reading relation 36969807
  76. Wed Nov 07 18:39:08 2018 error -9 reading relation 37017994
  77. Wed Nov 07 18:39:08 2018 error -5 reading relation 37018992
  78. Wed Nov 07 18:39:10 2018 error -9 reading relation 37180943
  79. Wed Nov 07 18:39:23 2018 error -9 reading relation 38859134
  80. Wed Nov 07 18:39:23 2018 error -1 reading relation 38860802
  81. Wed Nov 07 18:39:24 2018 error -9 reading relation 38901900
  82. Wed Nov 07 18:39:34 2018 error -1 reading relation 40187202
  83. Wed Nov 07 18:39:34 2018 error -15 reading relation 40197130
  84. Wed Nov 07 18:39:37 2018 error -9 reading relation 40472890
  85. Wed Nov 07 18:39:39 2018 error -9 reading relation 40778560
  86. Wed Nov 07 18:39:40 2018 error -5 reading relation 40881075
  87. Wed Nov 07 18:39:52 2018 error -1 reading relation 42258923
  88. Wed Nov 07 18:39:52 2018 error -1 reading relation 42360794
  89. Wed Nov 07 18:39:52 2018 error -15 reading relation 42361477
  90. Wed Nov 07 18:39:55 2018 error -9 reading relation 42687470
  91. Wed Nov 07 18:39:56 2018 error -9 reading relation 42829799
  92. Wed Nov 07 18:39:59 2018 error -15 reading relation 43127034
  93. Wed Nov 07 18:39:59 2018 error -9 reading relation 43131107
  94. Wed Nov 07 18:40:03 2018 error -15 reading relation 43656828
  95. Wed Nov 07 18:40:14 2018 error -1 reading relation 44981262
  96. Wed Nov 07 18:40:15 2018 error -9 reading relation 45103683
  97. Wed Nov 07 18:40:17 2018 error -9 reading relation 45359037
  98. Wed Nov 07 18:40:17 2018 error -15 reading relation 45382985
  99. Wed Nov 07 18:40:17 2018 error -15 reading relation 45406177
  100. Wed Nov 07 18:40:17 2018 error -1 reading relation 45406178
  101. Wed Nov 07 18:40:20 2018 error -1 reading relation 45712731
  102. Wed Nov 07 18:40:35 2018 error -9 reading relation 47543324
  103. Wed Nov 07 18:40:35 2018 error -15 reading relation 47565590
  104. Wed Nov 07 18:40:35 2018 error -9 reading relation 47575636
  105. Wed Nov 07 18:40:44 2018 error -9 reading relation 48633058
  106. Wed Nov 07 18:40:45 2018 error -15 reading relation 48718395
  107. Wed Nov 07 18:40:49 2018 skipped 49 relations with b > 2^32
  108. Wed Nov 07 18:40:49 2018 skipped 59 relations with composite factors
  109. Wed Nov 07 18:40:49 2018 found 7596211 hash collisions in 49171269 relations
  110. Wed Nov 07 18:41:24 2018 added 731422 free relations
  111. Wed Nov 07 18:41:24 2018 commencing duplicate removal, pass 2
  112. Wed Nov 07 18:41:48 2018 found 6863641 duplicates and 43039050 unique relations
  113. Wed Nov 07 18:41:48 2018 memory use: 213.2 MB
  114. Wed Nov 07 18:41:48 2018 reading ideals above 720000
  115. Wed Nov 07 18:41:48 2018 commencing singleton removal, initial pass
  116. Wed Nov 07 18:47:06 2018 memory use: 1378.0 MB
  117. Wed Nov 07 18:47:06 2018 reading all ideals from disk
  118. Wed Nov 07 18:47:07 2018 memory use: 1540.8 MB
  119. Wed Nov 07 18:47:10 2018 keeping 44779653 ideals with weight <= 200, target excess is 233313
  120. Wed Nov 07 18:47:14 2018 commencing in-memory singleton removal
  121. Wed Nov 07 18:47:17 2018 begin with 43039050 relations and 44779653 unique ideals
  122. Wed Nov 07 18:47:47 2018 reduce to 21407536 relations and 20181648 ideals in 17 passes
  123. Wed Nov 07 18:47:47 2018 max relations containing the same ideal: 134
  124. Wed Nov 07 18:47:55 2018 removing 3007305 relations and 2607305 ideals in 400000 cliques
  125. Wed Nov 07 18:47:56 2018 commencing in-memory singleton removal
  126. Wed Nov 07 18:47:57 2018 begin with 18400231 relations and 20181648 unique ideals
  127. Wed Nov 07 18:48:10 2018 reduce to 18038998 relations and 17203803 ideals in 10 passes
  128. Wed Nov 07 18:48:10 2018 max relations containing the same ideal: 115
  129. Wed Nov 07 18:48:17 2018 removing 2264583 relations and 1864583 ideals in 400000 cliques
  130. Wed Nov 07 18:48:18 2018 commencing in-memory singleton removal
  131. Wed Nov 07 18:48:19 2018 begin with 15774415 relations and 17203803 unique ideals
  132. Wed Nov 07 18:48:29 2018 reduce to 15540519 relations and 15099933 ideals in 10 passes
  133. Wed Nov 07 18:48:29 2018 max relations containing the same ideal: 104
  134. Wed Nov 07 18:48:35 2018 removing 1041589 relations and 871647 ideals in 169942 cliques
  135. Wed Nov 07 18:48:36 2018 commencing in-memory singleton removal
  136. Wed Nov 07 18:48:37 2018 begin with 14498930 relations and 15099933 unique ideals
  137. Wed Nov 07 18:48:44 2018 reduce to 14446676 relations and 14175509 ideals in 7 passes
  138. Wed Nov 07 18:48:44 2018 max relations containing the same ideal: 100
  139. Wed Nov 07 18:48:51 2018 relations with 0 large ideals: 4782
  140. Wed Nov 07 18:48:51 2018 relations with 1 large ideals: 1574
  141. Wed Nov 07 18:48:51 2018 relations with 2 large ideals: 25336
  142. Wed Nov 07 18:48:51 2018 relations with 3 large ideals: 208235
  143. Wed Nov 07 18:48:51 2018 relations with 4 large ideals: 920016
  144. Wed Nov 07 18:48:51 2018 relations with 5 large ideals: 2402310
  145. Wed Nov 07 18:48:51 2018 relations with 6 large ideals: 3977808
  146. Wed Nov 07 18:48:51 2018 relations with 7+ large ideals: 6906615
  147. Wed Nov 07 18:48:51 2018 commencing 2-way merge
  148. Wed Nov 07 18:49:00 2018 reduce to 8917895 relation sets and 8646728 unique ideals
  149. Wed Nov 07 18:49:00 2018 commencing full merge
  150. Wed Nov 07 18:50:55 2018 memory use: 1062.3 MB
  151. Wed Nov 07 18:50:55 2018 found 4739390 cycles, need 4702928
  152. Wed Nov 07 18:50:56 2018 weight of 4702928 cycles is about 329502641 (70.06/cycle)
  153. Wed Nov 07 18:50:56 2018 distribution of cycle lengths:
  154. Wed Nov 07 18:50:56 2018 1 relations: 654369
  155. Wed Nov 07 18:50:56 2018 2 relations: 610889
  156. Wed Nov 07 18:50:56 2018 3 relations: 576945
  157. Wed Nov 07 18:50:56 2018 4 relations: 505272
  158. Wed Nov 07 18:50:56 2018 5 relations: 442889
  159. Wed Nov 07 18:50:56 2018 6 relations: 376241
  160. Wed Nov 07 18:50:56 2018 7 relations: 320913
  161. Wed Nov 07 18:50:56 2018 8 relations: 270254
  162. Wed Nov 07 18:50:56 2018 9 relations: 225153
  163. Wed Nov 07 18:50:56 2018 10+ relations: 720003
  164. Wed Nov 07 18:50:56 2018 heaviest cycle: 21 relations
  165. Wed Nov 07 18:50:57 2018 commencing cycle optimization
  166. Wed Nov 07 18:51:01 2018 start with 25364255 relations
  167. Wed Nov 07 18:51:33 2018 pruned 581648 relations
  168. Wed Nov 07 18:51:33 2018 memory use: 848.2 MB
  169. Wed Nov 07 18:51:33 2018 distribution of cycle lengths:
  170. Wed Nov 07 18:51:33 2018 1 relations: 654369
  171. Wed Nov 07 18:51:33 2018 2 relations: 623734
  172. Wed Nov 07 18:51:33 2018 3 relations: 596721
  173. Wed Nov 07 18:51:33 2018 4 relations: 515894
  174. Wed Nov 07 18:51:33 2018 5 relations: 451765
  175. Wed Nov 07 18:51:33 2018 6 relations: 379538
  176. Wed Nov 07 18:51:33 2018 7 relations: 322741
  177. Wed Nov 07 18:51:33 2018 8 relations: 268963
  178. Wed Nov 07 18:51:33 2018 9 relations: 221860
  179. Wed Nov 07 18:51:33 2018 10+ relations: 667343
  180. Wed Nov 07 18:51:33 2018 heaviest cycle: 21 relations
  181. Wed Nov 07 18:51:37 2018 RelProcTime: 1060
  182. Wed Nov 07 18:51:37 2018
  183. Wed Nov 07 18:51:37 2018 commencing linear algebra
  184. Wed Nov 07 18:51:37 2018 read 4702928 cycles
  185. Wed Nov 07 18:51:44 2018 cycles contain 14221697 unique relations
  186. Wed Nov 07 18:53:09 2018 read 14221697 relations
  187. Wed Nov 07 18:53:24 2018 using 20 quadratic characters above 4294917295
  188. Wed Nov 07 18:54:26 2018 building initial matrix
  189. Wed Nov 07 18:56:13 2018 memory use: 1750.5 MB
  190. Wed Nov 07 18:56:16 2018 read 4702928 cycles
  191. Wed Nov 07 18:56:16 2018 matrix is 4702751 x 4702928 (1414.3 MB) with weight 413186870 (87.86/col)
  192. Wed Nov 07 18:56:16 2018 sparse part has weight 319017428 (67.83/col)
  193. Wed Nov 07 18:56:50 2018 filtering completed in 2 passes
  194. Wed Nov 07 18:56:50 2018 matrix is 4699699 x 4699876 (1414.1 MB) with weight 413101604 (87.90/col)
  195. Wed Nov 07 18:56:50 2018 sparse part has weight 318993611 (67.87/col)
  196. Wed Nov 07 18:56:59 2018 matrix starts at (0, 0)
  197. Wed Nov 07 18:56:59 2018 matrix is 4699699 x 4699876 (1414.1 MB) with weight 413101604 (87.90/col)
  198. Wed Nov 07 18:56:59 2018 sparse part has weight 318993611 (67.87/col)
  199. Wed Nov 07 18:56:59 2018 saving the first 48 matrix rows for later
  200. Wed Nov 07 18:57:01 2018 matrix includes 64 packed rows
  201. Wed Nov 07 18:57:01 2018 matrix is 4699651 x 4699876 (1343.9 MB) with weight 329001181 (70.00/col)
  202. Wed Nov 07 18:57:01 2018 sparse part has weight 305293613 (64.96/col)
  203. Wed Nov 07 18:57:01 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  204. Wed Nov 07 18:57:17 2018 commencing Lanczos iteration (8 threads)
  205. Wed Nov 07 18:57:17 2018 memory use: 1101.8 MB
  206. Wed Nov 07 18:57:30 2018 linear algebra at 0.0%, ETA 10h19m
  207. Wed Nov 07 18:57:34 2018 checkpointing every 460000 dimensions
  208. Thu Nov 08 05:51:20 2018 lanczos halted after 74327 iterations (dim = 4699651)
  209. Thu Nov 08 05:51:25 2018 recovered 37 nontrivial dependencies
  210. Thu Nov 08 05:51:26 2018 BLanczosTime: 39589
  211. Thu Nov 08 05:51:26 2018
  212. Thu Nov 08 05:51:26 2018 commencing square root phase
  213. Thu Nov 08 05:51:26 2018 handling dependencies 1 to 64
  214. Thu Nov 08 05:51:26 2018 reading relations for dependency 1
  215. Thu Nov 08 05:51:27 2018 read 2349611 cycles
  216. Thu Nov 08 05:51:30 2018 cycles contain 7109596 unique relations
  217. Thu Nov 08 05:52:20 2018 read 7109596 relations
  218. Thu Nov 08 05:52:51 2018 multiplying 7109596 relations
  219. Thu Nov 08 05:56:58 2018 multiply complete, coefficients have about 247.21 million bits
  220. Thu Nov 08 05:56:59 2018 initial square root is modulo 744198311
  221. Thu Nov 08 06:02:06 2018 Newton iteration failed to converge
  222. Thu Nov 08 06:02:06 2018 algebraic square root failed
  223. Thu Nov 08 06:02:06 2018 reading relations for dependency 2
  224. Thu Nov 08 06:02:07 2018 read 2351135 cycles
  225. Thu Nov 08 06:02:10 2018 cycles contain 7108728 unique relations
  226. Thu Nov 08 06:03:01 2018 read 7108728 relations
  227. Thu Nov 08 06:03:33 2018 multiplying 7108728 relations
  228. Thu Nov 08 06:07:45 2018 multiply complete, coefficients have about 247.19 million bits
  229. Thu Nov 08 06:07:46 2018 initial square root is modulo 742708501
  230. Thu Nov 08 06:12:58 2018 GCD is N, no factor found
  231. Thu Nov 08 06:12:58 2018 reading relations for dependency 3
  232. Thu Nov 08 06:12:59 2018 read 2350617 cycles
  233. Thu Nov 08 06:13:02 2018 cycles contain 7111696 unique relations
  234. Thu Nov 08 06:14:01 2018 read 7111696 relations
  235. Thu Nov 08 06:14:33 2018 multiplying 7111696 relations
  236. Thu Nov 08 06:18:45 2018 multiply complete, coefficients have about 247.29 million bits
  237. Thu Nov 08 06:18:46 2018 initial square root is modulo 748839841
  238. Thu Nov 08 06:23:55 2018 found factor: 536795317517020814370973458329828349652954172232790556298545491475574113270580128119
  239. Thu Nov 08 06:23:55 2018 reading relations for dependency 4
  240. Thu Nov 08 06:24:00 2018 read 2349637 cycles
  241. Thu Nov 08 06:24:03 2018 cycles contain 7107998 unique relations
  242. Thu Nov 08 06:25:06 2018 read 7107998 relations
  243. Thu Nov 08 06:25:37 2018 multiplying 7107998 relations
  244. Thu Nov 08 06:29:49 2018 multiply complete, coefficients have about 247.16 million bits
  245. Thu Nov 08 06:29:50 2018 initial square root is modulo 740834911
  246. Thu Nov 08 06:34:40 2018 sqrtTime: 2594
  247. Thu Nov 08 06:34:40 2018 p60 factor: 103571065560931367182296148220577007814059447628614547831399
  248. Thu Nov 08 06:34:40 2018 p64 factor: 3545255398470069744952139091135888763635559443770392158663949091
  249. Thu Nov 08 06:34:40 2018 p84 factor: 536795317517020814370973458329828349652954172232790556298545491475574113270580128119
  250. Thu Nov 08 06:34:40 2018 elapsed time 12:00:44
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