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6867^67-1

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Dec 1st, 2017
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  1. Sun Nov 26 01:37:08 2017 Msieve v. 1.53 (SVN unknown)
  2. Sun Nov 26 01:37:08 2017 random seeds: 7e553864 189e9fc8
  3. Sun Nov 26 01:37:08 2017 factoring 16217623429519447665770331331234191617830657739056976241325545935071016487291689396910718629448531940462354331150908723291525188932655677244804366689033392520186152594766096800444961208969165612248705939744316323472203043824345842420862282162372999558193 (254 digits)
  4. Sun Nov 26 01:37:09 2017 searching for 15-digit factors
  5. Sun Nov 26 01:37:10 2017 commencing number field sieve (254-digit input)
  6. Sun Nov 26 01:37:10 2017 R0: 1590940683676811073936298865652272041928687
  7. Sun Nov 26 01:37:10 2017 R1: -1
  8. Sun Nov 26 01:37:10 2017 A0: -1
  9. Sun Nov 26 01:37:10 2017 A1: 0
  10. Sun Nov 26 01:37:10 2017 A2: 0
  11. Sun Nov 26 01:37:10 2017 A3: 0
  12. Sun Nov 26 01:37:10 2017 A4: 0
  13. Sun Nov 26 01:37:10 2017 A5: 0
  14. Sun Nov 26 01:37:10 2017 A6: 6863
  15. Sun Nov 26 01:37:10 2017 skew 0.23, size 6.433e-13, alpha 1.107, combined = 8.591e-14 rroots = 2
  16. Sun Nov 26 01:37:10 2017
  17. Sun Nov 26 01:37:10 2017 commencing relation filtering
  18. Sun Nov 26 01:37:10 2017 setting target matrix density to 132.0
  19. Sun Nov 26 01:37:10 2017 estimated available RAM is 16003.1 MB
  20. Sun Nov 26 01:37:10 2017 commencing duplicate removal, pass 1
  21. Sun Nov 26 01:44:49 2017 error -5 reading relation 64510869
  22. Sun Nov 26 01:55:28 2017 error -1 reading relation 153818541
  23. Sun Nov 26 01:58:06 2017 error -11 reading relation 175783508
  24. Sun Nov 26 02:01:04 2017 skipped 6733 relations with b > 2^32
  25. Sun Nov 26 02:01:04 2017 skipped 1 relations with composite factors
  26. Sun Nov 26 02:01:04 2017 found 8725301 hash collisions in 199589939 relations
  27. Sun Nov 26 02:01:15 2017 commencing duplicate removal, pass 2
  28. Sun Nov 26 02:02:15 2017 found 0 duplicates and 199589939 unique relations
  29. Sun Nov 26 02:02:15 2017 memory use: 522.4 MB
  30. Sun Nov 26 02:02:15 2017 reading ideals above 142409728
  31. Sun Nov 26 02:02:15 2017 commencing singleton removal, initial pass
  32. Sun Nov 26 02:20:05 2017 memory use: 3012.0 MB
  33. Sun Nov 26 02:20:05 2017 reading all ideals from disk
  34. Sun Nov 26 02:20:14 2017 memory use: 3659.4 MB
  35. Sun Nov 26 02:20:20 2017 commencing in-memory singleton removal
  36. Sun Nov 26 02:20:27 2017 begin with 199589939 relations and 163444337 unique ideals
  37. Sun Nov 26 02:21:53 2017 reduce to 135539552 relations and 93415251 ideals in 15 passes
  38. Sun Nov 26 02:21:53 2017 max relations containing the same ideal: 42
  39. Sun Nov 26 02:21:59 2017 reading ideals above 720000
  40. Sun Nov 26 02:21:59 2017 commencing singleton removal, initial pass
  41. Sun Nov 26 02:37:41 2017 memory use: 3012.0 MB
  42. Sun Nov 26 02:37:41 2017 reading all ideals from disk
  43. Sun Nov 26 02:37:56 2017 memory use: 5555.7 MB
  44. Sun Nov 26 02:38:10 2017 keeping 108746761 ideals with weight <= 200, target excess is 742107
  45. Sun Nov 26 02:38:25 2017 commencing in-memory singleton removal
  46. Sun Nov 26 02:38:35 2017 begin with 135539552 relations and 108746761 unique ideals
  47. Sun Nov 26 02:39:43 2017 reduce to 135538795 relations and 108746004 ideals in 6 passes
  48. Sun Nov 26 02:39:43 2017 max relations containing the same ideal: 200
  49. Sun Nov 26 02:40:38 2017 removing 10596589 relations and 8596589 ideals in 2000000 cliques
  50. Sun Nov 26 02:40:42 2017 commencing in-memory singleton removal
  51. Sun Nov 26 02:40:52 2017 begin with 124942206 relations and 108746004 unique ideals
  52. Sun Nov 26 02:42:16 2017 reduce to 124346328 relations and 99542766 ideals in 8 passes
  53. Sun Nov 26 02:42:16 2017 max relations containing the same ideal: 196
  54. Sun Nov 26 02:43:07 2017 removing 8090406 relations and 6090406 ideals in 2000000 cliques
  55. Sun Nov 26 02:43:10 2017 commencing in-memory singleton removal
  56. Sun Nov 26 02:43:18 2017 begin with 116255922 relations and 99542766 unique ideals
  57. Sun Nov 26 02:44:20 2017 reduce to 115854565 relations and 93044550 ideals in 7 passes
  58. Sun Nov 26 02:44:20 2017 max relations containing the same ideal: 188
  59. Sun Nov 26 02:45:05 2017 removing 7339216 relations and 5339216 ideals in 2000000 cliques
  60. Sun Nov 26 02:45:08 2017 commencing in-memory singleton removal
  61. Sun Nov 26 02:45:15 2017 begin with 108515349 relations and 93044550 unique ideals
  62. Sun Nov 26 02:46:11 2017 reduce to 108161693 relations and 87346004 ideals in 7 passes
  63. Sun Nov 26 02:46:11 2017 max relations containing the same ideal: 182
  64. Sun Nov 26 02:46:52 2017 removing 6958574 relations and 4958574 ideals in 2000000 cliques
  65. Sun Nov 26 02:46:55 2017 commencing in-memory singleton removal
  66. Sun Nov 26 02:47:02 2017 begin with 101203119 relations and 87346004 unique ideals
  67. Sun Nov 26 02:47:54 2017 reduce to 100871180 relations and 82049922 ideals in 7 passes
  68. Sun Nov 26 02:47:54 2017 max relations containing the same ideal: 175
  69. Sun Nov 26 02:48:32 2017 removing 6718965 relations and 4718965 ideals in 2000000 cliques
  70. Sun Nov 26 02:48:35 2017 commencing in-memory singleton removal
  71. Sun Nov 26 02:48:41 2017 begin with 94152215 relations and 82049922 unique ideals
  72. Sun Nov 26 02:49:29 2017 reduce to 93830596 relations and 77003696 ideals in 7 passes
  73. Sun Nov 26 02:49:29 2017 max relations containing the same ideal: 167
  74. Sun Nov 26 02:50:05 2017 removing 6556259 relations and 4556259 ideals in 2000000 cliques
  75. Sun Nov 26 02:50:08 2017 commencing in-memory singleton removal
  76. Sun Nov 26 02:50:14 2017 begin with 87274337 relations and 77003696 unique ideals
  77. Sun Nov 26 02:50:58 2017 reduce to 86953379 relations and 72120683 ideals in 7 passes
  78. Sun Nov 26 02:50:58 2017 max relations containing the same ideal: 158
  79. Sun Nov 26 02:51:31 2017 removing 6437598 relations and 4437598 ideals in 2000000 cliques
  80. Sun Nov 26 02:51:34 2017 commencing in-memory singleton removal
  81. Sun Nov 26 02:51:39 2017 begin with 80515781 relations and 72120683 unique ideals
  82. Sun Nov 26 02:52:25 2017 reduce to 80192224 relations and 67353180 ideals in 8 passes
  83. Sun Nov 26 02:52:25 2017 max relations containing the same ideal: 152
  84. Sun Nov 26 02:52:56 2017 removing 6350722 relations and 4350722 ideals in 2000000 cliques
  85. Sun Nov 26 02:52:59 2017 commencing in-memory singleton removal
  86. Sun Nov 26 02:53:04 2017 begin with 73841502 relations and 67353180 unique ideals
  87. Sun Nov 26 02:53:40 2017 reduce to 73507865 relations and 62661621 ideals in 7 passes
  88. Sun Nov 26 02:53:40 2017 max relations containing the same ideal: 142
  89. Sun Nov 26 02:54:09 2017 removing 6292361 relations and 4292361 ideals in 2000000 cliques
  90. Sun Nov 26 02:54:11 2017 commencing in-memory singleton removal
  91. Sun Nov 26 02:54:16 2017 begin with 67215504 relations and 62661621 unique ideals
  92. Sun Nov 26 02:54:49 2017 reduce to 66865852 relations and 58011610 ideals in 7 passes
  93. Sun Nov 26 02:54:49 2017 max relations containing the same ideal: 134
  94. Sun Nov 26 02:55:15 2017 removing 6251330 relations and 4251330 ideals in 2000000 cliques
  95. Sun Nov 26 02:55:18 2017 commencing in-memory singleton removal
  96. Sun Nov 26 02:55:21 2017 begin with 60614522 relations and 58011610 unique ideals
  97. Sun Nov 26 02:55:47 2017 reduce to 60240740 relations and 53377225 ideals in 6 passes
  98. Sun Nov 26 02:55:47 2017 max relations containing the same ideal: 126
  99. Sun Nov 26 02:56:11 2017 removing 6224157 relations and 4224157 ideals in 2000000 cliques
  100. Sun Nov 26 02:56:13 2017 commencing in-memory singleton removal
  101. Sun Nov 26 02:56:17 2017 begin with 54016583 relations and 53377225 unique ideals
  102. Sun Nov 26 02:56:44 2017 reduce to 53607758 relations and 48732978 ideals in 7 passes
  103. Sun Nov 26 02:56:44 2017 max relations containing the same ideal: 118
  104. Sun Nov 26 02:57:05 2017 removing 6223124 relations and 4223124 ideals in 2000000 cliques
  105. Sun Nov 26 02:57:07 2017 commencing in-memory singleton removal
  106. Sun Nov 26 02:57:10 2017 begin with 47384634 relations and 48732978 unique ideals
  107. Sun Nov 26 02:57:33 2017 reduce to 46923259 relations and 44034267 ideals in 7 passes
  108. Sun Nov 26 02:57:33 2017 max relations containing the same ideal: 105
  109. Sun Nov 26 02:57:52 2017 removing 6248438 relations and 4248438 ideals in 2000000 cliques
  110. Sun Nov 26 02:57:54 2017 commencing in-memory singleton removal
  111. Sun Nov 26 02:57:57 2017 begin with 40674821 relations and 44034267 unique ideals
  112. Sun Nov 26 02:58:19 2017 reduce to 40124767 relations and 39216294 ideals in 8 passes
  113. Sun Nov 26 02:58:19 2017 max relations containing the same ideal: 91
  114. Sun Nov 26 02:58:35 2017 removing 279013 relations and 231385 ideals in 47628 cliques
  115. Sun Nov 26 02:58:36 2017 commencing in-memory singleton removal
  116. Sun Nov 26 02:58:38 2017 begin with 39845754 relations and 39216294 unique ideals
  117. Sun Nov 26 02:58:52 2017 reduce to 39844488 relations and 38983640 ideals in 5 passes
  118. Sun Nov 26 02:58:52 2017 max relations containing the same ideal: 91
  119. Sun Nov 26 02:58:59 2017 relations with 0 large ideals: 28178
  120. Sun Nov 26 02:58:59 2017 relations with 1 large ideals: 8167
  121. Sun Nov 26 02:58:59 2017 relations with 2 large ideals: 106130
  122. Sun Nov 26 02:58:59 2017 relations with 3 large ideals: 750802
  123. Sun Nov 26 02:58:59 2017 relations with 4 large ideals: 2910312
  124. Sun Nov 26 02:58:59 2017 relations with 5 large ideals: 6798406
  125. Sun Nov 26 02:58:59 2017 relations with 6 large ideals: 10060212
  126. Sun Nov 26 02:58:59 2017 relations with 7+ large ideals: 19182281
  127. Sun Nov 26 02:58:59 2017 commencing 2-way merge
  128. Sun Nov 26 02:59:19 2017 reduce to 27037523 relation sets and 26176675 unique ideals
  129. Sun Nov 26 02:59:19 2017 commencing full merge
  130. Sun Nov 26 03:09:43 2017 memory use: 3541.7 MB
  131. Sun Nov 26 03:09:45 2017 found 12019152 cycles, need 12002875
  132. Sun Nov 26 03:09:48 2017 weight of 12002875 cycles is about 1584915715 (132.04/cycle)
  133. Sun Nov 26 03:09:48 2017 distribution of cycle lengths:
  134. Sun Nov 26 03:09:48 2017 1 relations: 402149
  135. Sun Nov 26 03:09:48 2017 2 relations: 611820
  136. Sun Nov 26 03:09:48 2017 3 relations: 762144
  137. Sun Nov 26 03:09:48 2017 4 relations: 824750
  138. Sun Nov 26 03:09:48 2017 5 relations: 873921
  139. Sun Nov 26 03:09:48 2017 6 relations: 886548
  140. Sun Nov 26 03:09:48 2017 7 relations: 878172
  141. Sun Nov 26 03:09:48 2017 8 relations: 853337
  142. Sun Nov 26 03:09:48 2017 9 relations: 804289
  143. Sun Nov 26 03:09:48 2017 10+ relations: 5105745
  144. Sun Nov 26 03:09:48 2017 heaviest cycle: 28 relations
  145. Sun Nov 26 03:09:51 2017 commencing cycle optimization
  146. Sun Nov 26 03:10:12 2017 start with 111441581 relations
  147. Sun Nov 26 03:14:13 2017 pruned 5903290 relations
  148. Sun Nov 26 03:14:13 2017 memory use: 2806.9 MB
  149. Sun Nov 26 03:14:13 2017 distribution of cycle lengths:
  150. Sun Nov 26 03:14:13 2017 1 relations: 402149
  151. Sun Nov 26 03:14:13 2017 2 relations: 628422
  152. Sun Nov 26 03:14:13 2017 3 relations: 797295
  153. Sun Nov 26 03:14:13 2017 4 relations: 864518
  154. Sun Nov 26 03:14:13 2017 5 relations: 925575
  155. Sun Nov 26 03:14:13 2017 6 relations: 938428
  156. Sun Nov 26 03:14:13 2017 7 relations: 936016
  157. Sun Nov 26 03:14:13 2017 8 relations: 902315
  158. Sun Nov 26 03:14:13 2017 9 relations: 850142
  159. Sun Nov 26 03:14:13 2017 10+ relations: 4758015
  160. Sun Nov 26 03:14:13 2017 heaviest cycle: 28 relations
  161. Sun Nov 26 03:14:35 2017 RelProcTime: 5845
  162. Sun Nov 26 03:14:35 2017
  163. Sun Nov 26 03:14:35 2017 commencing linear algebra
  164. Sun Nov 26 03:14:35 2017 read 12002875 cycles
  165. Sun Nov 26 03:15:00 2017 cycles contain 39439856 unique relations
  166. Sun Nov 26 03:18:17 2017 read 39439856 relations
  167. Sun Nov 26 03:19:23 2017 using 20 quadratic characters above 4294917295
  168. Sun Nov 26 03:21:56 2017 building initial matrix
  169. Sun Nov 26 03:29:46 2017 memory use: 5205.3 MB
  170. Sun Nov 26 03:29:51 2017 read 12002875 cycles
  171. Sun Nov 26 03:29:53 2017 matrix is 12002698 x 12002875 (6081.4 MB) with weight 1741161111 (145.06/col)
  172. Sun Nov 26 03:29:53 2017 sparse part has weight 1462173535 (121.82/col)
  173. Sun Nov 26 03:32:31 2017 filtering completed in 2 passes
  174. Sun Nov 26 03:32:33 2017 matrix is 12002646 x 12002823 (6081.4 MB) with weight 1741159421 (145.06/col)
  175. Sun Nov 26 03:32:33 2017 sparse part has weight 1462173137 (121.82/col)
  176. Sun Nov 26 03:33:17 2017 matrix starts at (0, 0)
  177. Sun Nov 26 03:33:19 2017 matrix is 12002646 x 12002823 (6081.4 MB) with weight 1741159421 (145.06/col)
  178. Sun Nov 26 03:33:19 2017 sparse part has weight 1462173137 (121.82/col)
  179. Sun Nov 26 03:33:19 2017 saving the first 48 matrix rows for later
  180. Sun Nov 26 03:33:21 2017 matrix includes 64 packed rows
  181. Sun Nov 26 03:33:22 2017 matrix is 12002598 x 12002823 (5832.8 MB) with weight 1511804695 (125.95/col)
  182. Sun Nov 26 03:33:22 2017 sparse part has weight 1409010892 (117.39/col)
  183. Sun Nov 26 03:33:22 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  184. Sun Nov 26 03:34:17 2017 commencing Lanczos iteration (4 threads)
  185. Sun Nov 26 03:34:17 2017 memory use: 4984.7 MB
  186. Sun Nov 26 03:35:20 2017 linear algebra at 0.0%, ETA 133h52m
  187. Sun Nov 26 03:35:40 2017 checkpointing every 100000 dimensions
  188. Fri Dec 1 16:39:38 2017 lanczos halted after 189810 iterations (dim = 12002598)
  189. Fri Dec 1 16:39:48 2017 recovered 37 nontrivial dependencies
  190. Fri Dec 1 16:39:49 2017 BLanczosTime: 480314
  191. Fri Dec 1 16:39:49 2017
  192. Fri Dec 1 16:39:49 2017 commencing square root phase
  193. Fri Dec 1 16:39:49 2017 handling dependencies 1 to 64
  194. Fri Dec 1 16:39:49 2017 reading relations for dependency 1
  195. Fri Dec 1 16:39:50 2017 read 5998976 cycles
  196. Fri Dec 1 16:40:00 2017 cycles contain 19714710 unique relations
  197. Fri Dec 1 16:41:48 2017 read 19714710 relations
  198. Fri Dec 1 16:43:00 2017 multiplying 19714710 relations
  199. Fri Dec 1 17:01:12 2017 multiply complete, coefficients have about 743.23 million bits
  200. Fri Dec 1 17:01:14 2017 initial square root is modulo 4654963
  201. Fri Dec 1 17:24:36 2017 Newton iteration failed to converge
  202. Fri Dec 1 17:24:36 2017 algebraic square root failed
  203. Fri Dec 1 17:24:36 2017 reading relations for dependency 2
  204. Fri Dec 1 17:24:38 2017 read 6004948 cycles
  205. Fri Dec 1 17:24:53 2017 cycles contain 19726010 unique relations
  206. Fri Dec 1 17:27:15 2017 read 19726010 relations
  207. Fri Dec 1 17:28:56 2017 multiplying 19726010 relations
  208. Fri Dec 1 17:53:39 2017 multiply complete, coefficients have about 743.66 million bits
  209. Fri Dec 1 17:53:43 2017 initial square root is modulo 4696261
  210. Fri Dec 1 18:20:08 2017 Newton iteration failed to converge
  211. Fri Dec 1 18:20:08 2017 algebraic square root failed
  212. Fri Dec 1 18:20:08 2017 reading relations for dependency 3
  213. Fri Dec 1 18:20:11 2017 read 6003505 cycles
  214. Fri Dec 1 18:20:25 2017 cycles contain 19728878 unique relations
  215. Fri Dec 1 18:22:51 2017 read 19728878 relations
  216. Fri Dec 1 18:24:34 2017 multiplying 19728878 relations
  217. Fri Dec 1 18:49:09 2017 multiply complete, coefficients have about 743.77 million bits
  218. Fri Dec 1 18:49:13 2017 initial square root is modulo 4706941
  219. Fri Dec 1 19:15:35 2017 sqrtTime: 9346
  220. Fri Dec 1 19:15:35 2017 p111 factor: 846694305477709720259619292669734792482240938014752030025440527027725521799338428108899756401706088088679430523
  221. Fri Dec 1 19:15:35 2017 p143 factor: 19154048072130794265107793995641965997475939746992910048793095165056125031180414728267212301314669373079195222008688528022110014812486853012291
  222. Fri Dec 1 19:15:35 2017 elapsed time 137:38:27
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