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

 0:  0: 1

 1:  1: 1

 2:  0: 1
     1: 1
     2: 1

 3:  0: 1
     3: 1

 4:  1: 1
     4: 1

 5:  0: 1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1

 6:  3: 1
     6: 1

 7:  4: 1
     7: 1

 8:  0: 1
     1: 1
     2: 1
     3: 1
     8: 1

 9:  0: 1
     1: 1
     2: 1
     4: 1
     9: 1

10:  3: 1
     4: 1
     5: 1
     6: 1
     7: 1
    10: 1

11:  0: 1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     8: 1
     9: 1
    11: 1

12:  6: 1
    12: 1

13:  7: 1
    13: 1

14:  3: 1
     6: 1
     8: 1
    14: 1

15:  4: 1
     7: 1
     9: 1
    15: 1

16:  6: 1
     7: 1
    10: 1
    12: 1
    13: 1
    16: 1

17:  3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
     9: 1
    10: 1
    11: 1
    14: 1
    15: 1
    17: 1

18:  6: 1
    12: 1
    14: 1
    18: 1

19:  7: 1
    13: 1
    15: 1
    19: 1

20:  0: q
     3: q
     8: 1
     9: 1
    11: 1
    14: 1
    20: 1

21:  1: q
     4: q
     8: 1
     9: 1
    11: 1
    15: 1
    21: 1

22: 12: 1
    22: 1

23: 13: 1
    23: 1

24:  6: 1
     7: 1
    10: 1
    12: 1
    13: 1
    14: 1
    15: 1
    16: 1
    17: 1
    18: 1
    19: 1
    24: 1

25: 12: 1
    13: 1
    16: 1
    22: 1
    23: 1
    25: 1

26: 12: 1
    13: 1
    16: 1
    22: 1
    23: 1
    26: 1

27:  8: 1
     9: 1
    11: 1
    14: 1
    15: 1
    17: 1
    20: 1
    21: 1
    27: 1

28: 14: 1
    18: 1
    20: 1
    28: 1

29: 15: 1
    19: 1
    21: 1
    29: 1

30: 12: 1
    18: 1
    22: 1
    30: 1

31: 13: 1
    19: 1
    23: 1
    31: 1

32: 14: 1
    15: 1
    17: 1
    18: 1
    19: 1
    20: 1
    21: 1
    24: 1
    27: 1
    28: 1
    29: 1
    32: 1

33: 12: 1
    13: 1
    16: 1
    18: 1
    19: 1
    22: 1
    23: 1
    24: 1
    25: 1
    30: 1
    31: 1
    33: 1

34: 12: 1
    13: 1
    16: 1
    18: 1
    19: 1
    22: 1
    23: 1
    24: 1
    26: 1
    30: 1
    31: 1
    34: 1

35: 12: 1
    13: 1
    16: 1
    22: 1
    23: 1
    25: 1
    26: 1
    35: 1

36:  8: q
    14: q
    20: 1
    21: 1
    27: 1
    28: 1
    36: 1

37:  9: q
    15: q
    20: 1
    21: 1
    27: 1
    29: 1
    37: 1

38: 18: 1
    28: 1
    30: 1
    38: 1

39: 19: 1
    29: 1
    31: 1
    39: 1

40: 20: 1
    21: 1
    27: 1
    28: 1
    29: 1
    32: 1
    36: 1
    37: 1
    40: 1

41: 18: 1
    19: 1
    24: 1
    28: 1
    29: 1
    30: 1
    31: 1
    32: 1
    33: 1
    38: 1
    39: 1
    41: 1

42: 18: 1
    19: 1
    24: 1
    28: 1
    29: 1
    30: 1
    31: 1
    32: 1
    34: 1
    38: 1
    39: 1
    42: 1

43: 12: 1
    13: 1
    16: 1
    18: 1
    19: 1
    22: 1
    23: 1
    24: 1
    25: 1
    26: 1
    30: 1
    31: 1
    33: 1
    34: 1
    35: 1
    43: 1

44:  6: q
     7: q
    10: q
    12: q
    13: q
    16: q
    35: 1
    44: 1

45: 28: 1
    36: 1
    38: 1
    45: 1

46: 29: 1
    37: 1
    39: 1
    46: 1

47: 28: 1
    29: 1
    32: 1
    36: 1
    37: 1
    38: 1
    39: 1
    40: 1
    41: 1
    45: 1
    46: 1
    47: 1

48: 28: 1
    29: 1
    32: 1
    36: 1
    37: 1
    38: 1
    39: 1
    40: 1
    42: 1
    45: 1
    46: 1
    48: 1

49: 18: 1
    19: 1
    24: 1
    28: 1
    29: 1
    30: 1
    31: 1
    32: 1
    33: 1
    34: 1
    38: 1
    39: 1
    41: 1
    42: 1
    43: 1
    49: 1

50:  6: q
     7: q
    10: q
    12: q
    13: q
    14: q
    15: q
    16: q
    17: q
    18: q
    19: q
    24: q
    35: 1
    43: 1
    44: 1
    50: 1

51:  3: q^2
     4: q^2
     5: q^2
     6: q^2
     7: q^2
    10: q^2
    44: 1
    51: 1

52: 20: q
    28: q
    36: 1
    37: 1
    40: 1
    45: 1
    52: 1

53: 21: q
    29: q
    36: 1
    37: 1
    40: 1
    46: 1
    53: 1

54: 36: 1
    37: 1
    40: 1
    45: 1
    46: 1
    47: 1
    52: 1
    53: 1
    54: 1

55: 36: 1
    37: 1
    40: 1
    45: 1
    46: 1
    48: 1
    52: 1
    53: 1
    55: 1

56: 28: 1
    29: 1
    32: 1
    36: 1
    37: 1
    38: 1
    39: 1
    40: 1
    41: 1
    42: 1
    45: 1
    46: 1
    47: 1
    48: 1
    49: 1
    56: 1

57: 14: q
    15: q
    17: q
    18: q
    19: q
    20: q
    21: q
    24: q
    27: q
    28: q
    29: q
    32: q
    43: 1
    49: 1
    50: 1
    57: 1

58:  3: q^2
     4: q^2
     5: q^2
     6: q^2
     7: q^2
     8: q^2
     9: q^2
    10: q^2
    11: q^2
    14: q^2
    15: q^2
    17: q^2
    44: 1
    50: 1
    51: 1
    58: 1

59:  0: q^3
     1: q^3
     2: q^3
     3: q^3
     4: q^3
     5: q^3
    51: 1
    59: 1

60: 36: 1
    37: 1
    40: 1
    45: 1
    46: 1
    47: 1
    48: 1
    52: 1
    53: 1
    54: 1
    55: 1
    56: 1
    60: 1

61: 20: q
    21: q
    27: q
    28: q
    29: q
    32: q
    36: q
    37: q
    40: q
    49: 1
    56: 1
    57: 1
    61: 1

62: 36: q
    37: q
    45: q
    46: q
    52: 1
    53: 1
    54: 1
    55: 1
    62: 1

63:  8: q^2
     9: q^2
    11: q^2
    14: q^2
    15: q^2
    17: q^2
    20: q^2
    21: q^2
    27: q^2
    50: 1
    57: 1
    58: 1
    63: 1

64:  0: q^3
     1: q^3
     2: q^3
     3: q^3
     4: q^3
     5: q^3
     8: q^3
     9: q^3
    11: q^3
    51: 1
    58: 1
    59: 1
    64: 1

65:  0: q^4
     1: q^4
     2: q^4
    59: 1
    65: 1

498 nonzero polynomials, and 908 zero polynomials,
 at 1406 Bruhat-comparable pairs.