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

 0:  0: 1

 1:  1: 1

 2:  2: 1

 3:  3: 1

 4:  4: 1

 5:  3: 1
     4: 1
     5: 1

 6:  2: 1
     3: 1
     6: 1

 7:  1: 1
     2: 1
     7: 1

 8:  0: 1
     1: 1
     8: 1

 9:  0: 1
     9: 1

10:  0: 1
    10: 1

11:  2: 1
     3: 1
     4: 1
     5: 1
     6: 1
    11: 1

12:  1: 1
     2: 1
     3: 1
     6: 1
     7: 1
    12: 1

13:  0: 1
     1: 1
     2: 1
     7: 1
     8: 1
    13: 1

14:  0: 1
     1: 1
     8: 1
     9: 1
    14: 1

15:  0: 1
     1: 1
     8: 1
    10: 1
    15: 1

16:  0: 2
     1: 1
     8: 1
     9: 1
    10: 1
    16: 1

17:  0: 1
     1: 1
     8: 1
     9: 1
    14: 1
    16: 1
    17: 1

18:  0: 1
     1: 1
     8: 1
    10: 1
    15: 1
    16: 1
    18: 1

19:  1: q
    14: 1
    19: 1

20:  1: q
    15: 1
    20: 1

21:  1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
    11: 1
    12: 1
    21: 1

22:  0: 1
     1: 1
     2: 1
     7: 1
     8: 1
     9: 1
    13: 1
    14: 1
    22: 1

23:  0: 1
     1: 1
     2: 1
     7: 1
     8: 1
    10: 1
    13: 1
    15: 1
    23: 1

24:  0: 1
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
    12: 1
    13: 1
    24: 1

25:  0: 2
     1: 1
     2: 1
     7: 1
     8: 1
     9: 1
    10: 1
    13: 1
    16: 1
    25: 1

26:  0: q+1
     1: 1
     2: 1
     7: 1
     8: 1
     9: q+1
    13: 1
    14: 1
    16: 1
    17: 1
    22: 1
    25: 1
    26: 1

27:  0: q+1
     1: 1
     2: 1
     7: 1
     8: 1
    10: q+1
    13: 1
    15: 1
    16: 1
    18: 1
    23: 1
    25: 1
    27: 1

28:  1: q
     2: q
     7: q
    14: 1
    19: 1
    22: 1
    28: 1

29:  1: q
     2: q
     7: q
    15: 1
    20: 1
    23: 1
    29: 1

30:  0: 1
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
     9: 1
    12: 1
    13: 1
    14: 1
    22: 1
    24: 1
    30: 1

31:  0: 1
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
    10: 1
    12: 1
    13: 1
    15: 1
    23: 1
    24: 1
    31: 1

32:  0: 1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
    11: 1
    12: 1
    13: 1
    21: 1
    24: 1
    32: 1

33:  0: 2
     1: 2
     2: 1
     7: 1
     8: 2
     9: 1
    10: 1
    13: 1
    14: 1
    15: 1
    16: 2
    17: 1
    18: 1
    25: 1
    33: 1

34:  0: 2
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
     9: 1
    10: 1
    12: 1
    13: 1
    16: 1
    24: 1
    25: 1
    34: 1

35:  0: 1
     1: 1
     2: 1
     7: 1
     8: 1
     9: 1
    13: 1
    14: 1
    16: 1
    17: 1
    22: 1
    25: 1
    26: 1
    33: 1
    35: 1

36:  0: 1
     1: 1
     2: 1
     7: 1
     8: 1
    10: 1
    13: 1
    15: 1
    16: 1
    18: 1
    23: 1
    25: 1
    27: 1
    33: 1
    36: 1

37:  2: q^2
    22: 1
    28: 1
    37: 1

38:  2: q^2
    23: 1
    29: 1
    38: 1

39:  0: q+1
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
     9: q+1
    12: 1
    13: 1
    14: 1
    16: 1
    17: 1
    22: 1
    24: 1
    25: 1
    26: 1
    30: 1
    34: 1
    39: 1

40:  0: q+1
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
    10: q+1
    12: 1
    13: 1
    15: 1
    16: 1
    18: 1
    23: 1
    24: 1
    25: 1
    27: 1
    31: 1
    34: 1
    40: 1

41:  1: q
     2: q
     3: q
     6: q
     7: q
    12: q
    14: 1
    19: 1
    22: 1
    28: 1
    30: 1
    41: 1

42:  1: q
     2: q
     3: q
     6: q
     7: q
    12: q
    15: 1
    20: 1
    23: 1
    29: 1
    31: 1
    42: 1

43:  0: 1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
     9: 1
    11: 1
    12: 1
    13: 1
    14: 1
    21: 1
    22: 1
    24: 1
    30: 1
    32: 1
    43: 1

44:  0: 1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
    10: 1
    11: 1
    12: 1
    13: 1
    15: 1
    21: 1
    23: 1
    24: 1
    31: 1
    32: 1
    44: 1

45:  0: 2
     1: 2
     2: 1
     3: 1
     6: 1
     7: 1
     8: 2
     9: 1
    10: 1
    12: 1
    13: 1
    14: 1
    15: 1
    16: 2
    17: 1
    18: 1
    24: 1
    25: 1
    33: 1
    34: 1
    45: 1

46:  0: 2
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
     9: 1
    10: 1
    11: 1
    12: 1
    13: 1
    16: 1
    21: 1
    24: 1
    25: 1
    32: 1
    34: 1
    46: 1

47:  0: q+1
     1: q+1
     2: 1
     3: 1
     6: 1
     7: 1
     8: q+1
     9: q+1
    12: 1
    13: 1
    14: q+1
    16: q+1
    17: q+1
    22: 1
    24: 1
    25: 1
    26: 1
    30: 1
    33: 1
    34: 1
    35: 1
    39: 1
    45: 1
    47: 1

48:  0: q+1
     1: q+1
     2: 1
     3: 1
     6: 1
     7: 1
     8: q+1
    10: q+1
    12: 1
    13: 1
    15: q+1
    16: q+1
    18: q+1
    23: 1
    24: 1
    25: 1
    27: 1
    31: 1
    33: 1
    34: 1
    36: 1
    40: 1
    45: 1
    48: 1

49:  2: q^2
     3: q^2
     6: q^2
    22: 1
    28: 1
    30: 1
    37: 1
    41: 1
    49: 1

50:  2: q^2
     3: q^2
     6: q^2
    23: 1
    29: 1
    31: 1
    38: 1
    42: 1
    50: 1

51:  0: q+1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
     9: q+1
    11: 1
    12: 1
    13: 1
    14: 1
    16: 1
    17: 1
    21: 1
    22: 1
    24: 1
    25: 1
    26: 1
    30: 1
    32: 1
    34: 1
    39: 1
    43: 1
    46: 1
    51: 1

52:  0: q+1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
    10: q+1
    11: 1
    12: 1
    13: 1
    15: 1
    16: 1
    18: 1
    21: 1
    23: 1
    24: 1
    25: 1
    27: 1
    31: 1
    32: 1
    34: 1
    40: 1
    44: 1
    46: 1
    52: 1

53:  1: q
     2: q
     3: q
     4: q
     5: q
     6: q
     7: q
    11: q
    12: q
    14: 1
    19: 1
    21: q
    22: 1
    28: 1
    30: 1
    41: 1
    43: 1
    53: 1

54:  1: q
     2: q
     3: q
     4: q
     5: q
     6: q
     7: q
    11: q
    12: q
    15: 1
    20: 1
    21: q
    23: 1
    29: 1
    31: 1
    42: 1
    44: 1
    54: 1

55:  0: 2
     1: 2
     2: 2
     3: 1
     6: 1
     7: 2
     8: 2
     9: 1
    10: 1
    12: 1
    13: 2
    14: 1
    15: 1
    16: 2
    17: 1
    18: 1
    22: 1
    23: 1
    24: 1
    25: 2
    26: 1
    27: 1
    33: 2
    34: 1
    35: 1
    36: 1
    45: 1
    55: 1

56:  0: 2
     1: 2
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 2
     9: 1
    10: 1
    11: 1
    12: 1
    13: 1
    14: 1
    15: 1
    16: 2
    17: 1
    18: 1
    21: 1
    24: 1
    25: 1
    32: 1
    33: 1
    34: 1
    45: 1
    46: 1
    56: 1

57:  0: 1
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
     9: 1
    12: 1
    13: 1
    14: 1
    16: 1
    17: 1
    22: 1
    24: 1
    25: 1
    26: 1
    30: 1
    33: 1
    34: 1
    35: 1
    39: 1
    45: 1
    47: 1
    55: 1
    57: 1

58:  0: 1
     1: 1
     2: 1
     3: 1
     6: 1
     7: 1
     8: 1
    10: 1
    12: 1
    13: 1
    15: 1
    16: 1
    18: 1
    23: 1
    24: 1
    25: 1
    27: 1
    31: 1
    33: 1
    34: 1
    36: 1
    40: 1
    45: 1
    48: 1
    55: 1
    58: 1

59:  3: q^3
    30: 1
    41: 1
    49: 1
    59: 1

60:  3: q^3
    31: 1
    42: 1
    50: 1
    60: 1

61:  0: q+1
     1: q+1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: q+1
     9: q+1
    11: 1
    12: 1
    13: 1
    14: q+1
    16: q+1
    17: q+1
    21: 1
    22: 1
    24: 1
    25: 1
    26: 1
    30: 1
    32: 1
    33: 1
    34: 1
    35: 1
    39: 1
    43: 1
    45: 1
    46: 1
    47: 1
    51: 1
    56: 1
    61: 1

62:  0: q+1
     1: q+1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: q+1
    10: q+1
    11: 1
    12: 1
    13: 1
    15: q+1
    16: q+1
    18: q+1
    21: 1
    23: 1
    24: 1
    25: 1
    27: 1
    31: 1
    32: 1
    33: 1
    34: 1
    36: 1
    40: 1
    44: 1
    45: 1
    46: 1
    48: 1
    52: 1
    56: 1
    62: 1

63:  2: q^2
     3: q^2
     4: q^2
     5: q^2
     6: q^2
    11: q^2
    22: 1
    28: 1
    30: 1
    37: 1
    41: 1
    43: 1
    49: 1
    53: 1
    63: 1

64:  2: q^2
     3: q^2
     4: q^2
     5: q^2
     6: q^2
    11: q^2
    23: 1
    29: 1
    31: 1
    38: 1
    42: 1
    44: 1
    50: 1
    54: 1
    64: 1

65:  0: 2
     1: 2
     2: 2
     3: 1
     4: 1
     5: 1
     6: 1
     7: 2
     8: 2
     9: 1
    10: 1
    11: 1
    12: 1
    13: 2
    14: 1
    15: 1
    16: 2
    17: 1
    18: 1
    21: 1
    22: 1
    23: 1
    24: 1
    25: 2
    26: 1
    27: 1
    32: 1
    33: 2
    34: 1
    35: 1
    36: 1
    45: 1
    46: 1
    55: 1
    56: 1
    65: 1

66:  0: q+1
     1: q+1
     2: q+1
     3: 1
     4: 1
     5: 1
     6: 1
     7: q+1
     8: q+1
     9: q+1
    11: 1
    12: 1
    13: q+1
    14: q+1
    16: q+1
    17: q+1
    21: 1
    22: q+1
    24: 1
    25: q+1
    26: q+1
    30: 1
    32: 1
    33: q+1
    34: 1
    35: q+1
    39: 1
    43: 1
    45: 1
    46: 1
    47: 1
    51: 1
    55: 1
    56: 1
    57: 1
    61: 1
    65: 1
    66: 1

67:  0: q+1
     1: q+1
     2: q+1
     3: 1
     4: 1
     5: 1
     6: 1
     7: q+1
     8: q+1
    10: q+1
    11: 1
    12: 1
    13: q+1
    15: q+1
    16: q+1
    18: q+1
    21: 1
    23: q+1
    24: 1
    25: q+1
    27: q+1
    31: 1
    32: 1
    33: q+1
    34: 1
    36: q+1
    40: 1
    44: 1
    45: 1
    46: 1
    48: 1
    52: 1
    55: 1
    56: 1
    58: 1
    62: 1
    65: 1
    67: 1

68:  3: q^3
     4: q^3
     5: q^3
    30: 1
    41: 1
    43: 1
    49: 1
    53: 1
    59: 1
    63: 1
    68: 1

69:  3: q^3
     4: q^3
     5: q^3
    31: 1
    42: 1
    44: 1
    50: 1
    54: 1
    60: 1
    64: 1
    69: 1

70:  0: 2
     1: 2
     2: 2
     3: 2
     4: 1
     5: 1
     6: 2
     7: 2
     8: 2
     9: 1
    10: 1
    11: 1
    12: 2
    13: 2
    14: 1
    15: 1
    16: 2
    17: 1
    18: 1
    21: 1
    22: 1
    23: 1
    24: 2
    25: 2
    26: 1
    27: 1
    30: 1
    31: 1
    32: 1
    33: 2
    34: 2
    35: 1
    36: 1
    39: 1
    40: 1
    45: 2
    46: 1
    47: 1
    48: 1
    55: 2
    56: 1
    57: 1
    58: 1
    65: 1
    70: 1

71:  0: 1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
     9: 1
    11: 1
    12: 1
    13: 1
    14: 1
    16: 1
    17: 1
    21: 1
    22: 1
    24: 1
    25: 1
    26: 1
    30: 1
    32: 1
    33: 1
    34: 1
    35: 1
    39: 1
    43: 1
    45: 1
    46: 1
    47: 1
    51: 1
    55: 1
    56: 1
    57: 1
    61: 1
    65: 1
    66: 1
    70: 1
    71: 1

72:  0: 1
     1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     6: 1
     7: 1
     8: 1
    10: 1
    11: 1
    12: 1
    13: 1
    15: 1
    16: 1
    18: 1
    21: 1
    23: 1
    24: 1
    25: 1
    27: 1
    31: 1
    32: 1
    33: 1
    34: 1
    36: 1
    40: 1
    44: 1
    45: 1
    46: 1
    48: 1
    52: 1
    55: 1
    56: 1
    58: 1
    62: 1
    65: 1
    67: 1
    70: 1
    72: 1

73:  4: q^4
    43: 1
    53: 1
    63: 1
    68: 1
    73: 1

74:  4: q^4
    44: 1
    54: 1
    64: 1
    69: 1
    74: 1

1065 nonzero polynomials, and 280 zero polynomials,
 at 1345 Bruhat-comparable pairs.