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

 0:  0: 1

 1:  1: 1

 2:  2: 1

 3:  3: 1

 4:  0: 1
     1: 1
     4: 1

 5:  0: 1
     5: 1

 6:  1: 1
     6: 1

 7:  2: 1
     7: 1

 8:  3: 1
     8: 1

 9:  0: 1
     1: 1
     4: 1
     5: 1
     6: 1
     9: 1

10:  5: 1
    10: 1

11:  6: 1
    11: 1

12:  7: 1
    12: 1

13:  8: 1
    13: 1

14:  0: 1
     1: 1
     4: 1
     5: 1
    14: 1

15:  0: 1
     1: 1
     4: 1
     6: 1
    15: 1

16:  2: 1
     7: 1
    16: 1

17:  3: 1
     8: 1
    17: 1

18:  5: 1
     6: 1
     9: 1
    10: 1
    11: 1
    18: 1

19:  0: 1
     1: 1
     4: 1
     5: 1
     6: 1
     9: 1
    14: 1
    15: 1
    19: 1

20: 10: 1
    12: 1
    20: 1

21: 11: 1
    13: 1
    21: 1

22:  5: 1
    10: 1
    14: 1
    22: 1

23:  6: 1
    11: 1
    15: 1
    23: 1

24:  7: 1
    12: 1
    16: 1
    24: 1

25:  8: 1
    13: 1
    17: 1
    25: 1

26:  5: 1
     6: 1
     9: 1
    10: 1
    11: 1
    14: 1
    15: 1
    18: 1
    19: 1
    22: 1
    23: 1
    26: 1

27: 10: 1
    11: 1
    12: 1
    13: 1
    18: 1
    20: 1
    21: 1
    27: 1

28: 10: 1
    12: 1
    20: 1
    22: 1
    24: 1
    28: 1

29: 11: 1
    13: 1
    21: 1
    23: 1
    25: 1
    29: 1

30:  0: q
     5: q
    14: 1
    15: 1
    19: 1
    22: 1
    30: 1

31:  1: q
     6: q
    14: 1
    15: 1
    19: 1
    23: 1
    31: 1

32: 16: 1
    24: 1
    32: 1

33: 17: 1
    25: 1
    33: 1

34: 14: 1
    15: 1
    19: 1
    22: 1
    23: 1
    26: 1
    30: 1
    31: 1
    34: 1

35: 22: 1
    24: 1
    28: 1
    30: 1
    32: 1
    35: 1

36: 23: 1
    25: 1
    29: 1
    31: 1
    33: 1
    36: 1

37: 10: 1
    11: 1
    12: 1
    13: 1
    18: 1
    20: 1
    21: 1
    22: 1
    23: 1
    24: 1
    25: 1
    26: 1
    27: 1
    28: 1
    29: 1
    37: 1

38:  7: q
     8: q
    12: q
    13: q
    27: 1
    38: 1

39: 14: q
    22: q
    30: 1
    31: 1
    32: 1
    34: 1
    35: 1
    39: 1

40: 15: q
    23: q
    30: 1
    31: 1
    33: 1
    34: 1
    36: 1
    40: 1

41: 22: 1
    23: 1
    24: 1
    25: 1
    26: 1
    28: 1
    29: 1
    30: 1
    31: 1
    32: 1
    33: 1
    34: 1
    35: 1
    36: 1
    37: 1
    41: 1

42:  7: q
     8: q
    12: q
    13: q
    16: q
    17: q
    24: q
    25: q
    27: 1
    37: 1
    38: 1
    42: 1

43:  2: q^2
     3: q^2
     7: q^2
     8: q^2
    38: 1
    43: 1

44: 30: 1
    31: 1
    32: 1
    33: 1
    34: 1
    35: 1
    36: 1
    39: 1
    40: 1
    41: 1
    44: 1

45: 16: q
    17: q
    24: q
    25: q
    32: q
    33: q
    37: 1
    41: 1
    42: 1
    45: 1

46:  2: q^2
     3: q^2
     7: q^2
     8: q^2
    16: q^2
    17: q^2
    38: 1
    42: 1
    43: 1
    46: 1

47:  2: q^3
     3: q^3
    43: 1
    47: 1

262 nonzero polynomials, and 338 zero polynomials,
 at 600 Bruhat-comparable pairs.