Table 1: Parameters for the optimized orbitals.
    K VIII     Ti XI  
Orbitals pj $\xi_j$ Cj pj $\xi_j$ Cj
3p 2 5.8986206 0.4001453 2 13.0854075 0.1046845
  2 11.2074413 0.0971636 2 6.9294436 0.4760082
  3 3.3184265 -1.1389354 3 4.3222458 -1.1986132
3d 3 6.7592894 0.0801860 3 8.5673148 0.0770588
  3 2.9913336 0.9522927 3 4.0341888 0.9507110
4s 1 15.2000205 0.0939256 1 15.2983070 0.1290024
  2 7.0118243 -0.1769061 2 11.2757064 -0.0989372
  2 1.8368330 -3.3274061 2 2.5035395 -4.4350670
  3 3.2678086 3.1927168 3 4.1167294 4.2864968
4p 2 7.7052228 0.1714105 2 8.8231176 0.2983943
  2 1.5705746 2.3866439 2 1.4850941 -0.0757807
  3 3.1453231 -2.1808499 3 3.0626329 -76.9581643
        3 3.0319666 77.3170529
4d 3 1.6722706 1.4733928 3 2.3154917 1.5549609
  3 3.0419079 -1.0736863 3 4.0354790 -1.1643178
4f 4 2.0370563 1.000 4 2.90000 1.000


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