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

 0:  0: 1

 1:  1: 1

 2:  0: 1
     2: 1

 3:  0: 1
     3: 1

 4:  0: 1
     4: 1

 5:  1: 1
     5: 1

 6:  0: 1
     2: 1
     4: 1
     6: 1

 7:  0: 1
     3: 1
     4: 1
     7: 1

 8:  4: 1
     8: 1

 9:  5: 1
     9: 1

10:  0: 2
     2: 1
     3: 1
     4: 1
    10: 1

11:  1: 1
     5: 1
    11: 1

12:  4: 1
     6: 1
     8: 1
    12: 1

13:  4: 1
     7: 1
     8: 1
    13: 1

14:  0: 1
     2: 1
     4: 1
     6: 1
    10: 1
    14: 1

15:  0: 1
     3: 1
     4: 1
     7: 1
    10: 1
    15: 1

16:  8: 1
     9: 1
    16: 1

17:  4: 1
     8: 1
    10: 1
    17: 1

18:  5: 1
     9: 1
    11: 1
    18: 1

19:  4: 1
     6: 1
     8: 1
    10: 1
    12: 1
    14: 1
    17: 1
    19: 1

20:  4: 1
     7: 1
     8: 1
    10: 1
    13: 1
    15: 1
    17: 1
    20: 1

21:  8: 1
     9: 1
    12: 1
    16: 1
    21: 1

22:  8: 1
     9: 1
    13: 1
    16: 1
    22: 1

23:  8: 1
     9: 1
    16: 1
    17: 1
    18: 1
    23: 1

24:  0: q
     4: q
    10: 2
    14: 1
    15: 1
    17: 1
    24: 1

25: 11: 1
    18: 1
    25: 1

26: 10: 1
    14: 1
    17: 1
    19: 1
    24: 1
    26: 1

27: 10: 1
    15: 1
    17: 1
    20: 1
    24: 1
    27: 1

28: 17: 1
    18: 1
    23: 1
    24: 1
    25: 1
    28: 1

29:  8: 1
     9: 1
    12: 1
    16: 1
    17: 1
    18: 1
    19: 1
    21: 1
    23: 1
    29: 1

30:  8: 1
     9: 1
    13: 1
    16: 1
    17: 1
    18: 1
    20: 1
    22: 1
    23: 1
    30: 1

31:  5: q
     9: q
    21: 1
    31: 1

32:  5: q
     9: q
    22: 1
    32: 1

33: 10: q
    17: q
    24: 2
    25: 1
    26: 1
    27: 1
    28: 1
    33: 1

34: 17: 1
    18: 1
    19: 1
    23: 1
    24: 1
    25: 1
    26: 1
    28: 1
    29: 1
    34: 1

35: 17: 1
    18: 1
    20: 1
    23: 1
    24: 1
    25: 1
    27: 1
    28: 1
    30: 1
    35: 1

36:  5: q
     9: q
    11: q
    18: q
    21: 1
    29: 1
    31: 1
    36: 1

37:  5: q
     9: q
    11: q
    18: q
    22: 1
    30: 1
    32: 1
    37: 1

38:  1: q^2
     5: q^2
    31: 1
    38: 1

39:  1: q^2
     5: q^2
    32: 1
    39: 1

40: 24: 1
    25: 1
    26: 1
    28: 1
    33: 1
    34: 1
    40: 1

41: 11: q
    18: q
    25: q
    29: 1
    34: 1
    36: 1
    41: 1

42: 24: 1
    25: 1
    27: 1
    28: 1
    33: 1
    35: 1
    42: 1

43:  1: q^2
     5: q^2
    11: q^2
    31: 1
    36: 1
    38: 1
    43: 1

44: 11: q
    18: q
    25: q
    30: 1
    35: 1
    37: 1
    44: 1

45:  1: q^3
    38: 1
    45: 1

46:  1: q^2
     5: q^2
    11: q^2
    32: 1
    37: 1
    39: 1
    46: 1

47:  1: q^3
    39: 1
    47: 1

249 nonzero polynomials, and 371 zero polynomials,
 at 620 Bruhat-comparable pairs.