Full list of non-zero Kazhdan-Lusztig-Vogan polynomials:

 0:  0: 1

 1:  0: 1
     1: 1

 2:  1: 1
     2: 1

 3:  0: 1
     1: 1
     3: 1

 4:  2: 1
     4: 1

 5:  1: 1
     2: 1
     3: 1
     5: 1

 6:  4: 1
     6: 1

 7:  2: 1
     4: 1
     5: 1
     7: 1

 8:  3: 1
     5: 1
     8: 1

 9:  4: 1
     6: 1
     7: 1
     9: 1

10:  5: 1
     7: 1
     8: 1
    10: 1

11:  6: 1
    11: 1

12:  7: 1
     9: 1
    10: 1
    12: 1

13:  8: 1
    10: 1
    13: 1

14:  6: 1
     9: 1
    11: 1
    14: 1

15: 10: 1
    12: 1
    13: 1
    15: 1

16:  9: 1
    12: 1
    14: 1
    16: 1

17: 13: 1
    15: 1
    17: 1

18: 12: 1
    15: 1
    16: 1
    18: 1

19: 15: 1
    17: 1
    18: 1
    19: 1

20: 17: 1
    19: 1
    20: 1

66 nonzero polynomials, and 130 zero polynomials,
 at 196 Bruhat-comparable pairs.