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:  1: 1
     2: 1
     3: 1
     4: 1

 5:  0: 1
     1: 1
     3: 1
     5: 1

 6:  2: 1
     6: 1

 7:  3: 1
     4: 1
     7: 1

 8:  1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     8: 1

 9:  0: 1
     1: 1
     3: 1
     5: 1
     9: 1

10:  2: 1
     4: 1
     6: 1
    10: 1

11:  3: 1
     4: 1
     5: 1
     7: 1
     8: 1
    11: 1

12:  1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     8: 1
     9: 1
    12: 1

13:  0: 1
     1: 1
     3: 1
     5: 1
     9: 1
    13: 1

14:  4: 1
     7: 1
    10: 1
    14: 1

15:  2: 1
     4: 1
     6: 1
     8: 1
    10: 1
    15: 1

16:  5: 1
     8: 1
    11: 1
    16: 1

17:  3: 1
     4: 1
     5: 1
     7: 1
     8: 1
     9: 1
    11: 1
    12: 1
    17: 1

18:  1: 1
     2: 1
     3: 1
     4: 1
     5: 1
     8: 1
     9: 1
    12: 1
    13: 1
    18: 1

19:  7: 1
    14: 1
    19: 1

20:  4: 1
     7: 1
     8: 1
    10: 1
    11: 1
    14: 1
    15: 1
    20: 1

21:  2: 1
     4: 1
     6: 1
     8: 1
    10: 1
    12: 1
    15: 1
    21: 1

22:  5: 1
     8: 1
     9: 1
    11: 1
    12: 1
    16: 1
    17: 1
    22: 1

23:  3: 1
     4: 1
     5: 1
     7: 1
     8: 1
     9: 1
    11: 1
    12: 1
    13: 1
    17: 1
    18: 1
    23: 1

24:  7: 1
    11: 1
    14: 1
    19: 1
    20: 1
    24: 1

25:  8: 1
    11: 1
    15: 1
    16: 1
    20: 1
    25: 1

26:  4: 1
     7: 1
     8: 1
    10: 1
    11: 1
    12: 1
    14: 1
    15: 1
    17: 1
    20: 1
    21: 1
    26: 1

27:  2: 1
     4: 1
     6: 1
     8: 1
    10: 1
    12: 1
    15: 1
    18: 1
    21: 1
    27: 1

28:  9: 1
    12: 1
    17: 1
    22: 1
    28: 1

29:  5: 1
     8: 1
     9: 1
    11: 1
    12: 1
    13: 1
    16: 1
    17: 1
    18: 1
    22: 1
    23: 1
    29: 1

30: 11: 1
    16: 1
    20: 1
    24: 1
    25: 1
    30: 1

31:  7: 1
    11: 1
    14: 1
    17: 1
    19: 1
    20: 1
    24: 1
    26: 1
    31: 1

32:  8: 1
    11: 1
    12: 1
    15: 1
    16: 1
    17: 1
    20: 1
    21: 1
    22: 1
    25: 1
    26: 1
    32: 1

33:  4: 1
     7: 1
     8: 1
    10: 1
    11: 1
    12: 1
    14: 1
    15: 1
    17: 1
    18: 1
    20: 1
    21: 1
    23: 1
    26: 1
    27: 1
    33: 1

34:  9: 1
    12: 1
    13: 1
    17: 1
    18: 1
    22: 1
    23: 1
    28: 1
    29: 1
    34: 1

35: 16: 1
    25: 1
    30: 1
    35: 1

36: 11: 1
    16: 1
    17: 1
    20: 1
    22: 1
    24: 1
    25: 1
    26: 1
    30: 1
    31: 1
    32: 1
    36: 1

37:  7: 1
    11: 1
    14: 1
    17: 1
    19: 1
    20: 1
    23: 1
    24: 1
    26: 1
    31: 1
    33: 1
    37: 1

38: 12: 1
    17: 1
    21: 1
    22: 1
    26: 1
    28: 1
    32: 1
    38: 1

39:  8: 1
    11: 1
    12: 1
    15: 1
    16: 1
    17: 1
    18: 1
    20: 1
    21: 1
    22: 1
    23: 1
    25: 1
    26: 1
    27: 1
    29: 1
    32: 1
    33: 1
    39: 1

40: 13: 1
    18: 1
    23: 1
    29: 1
    34: 1
    40: 1

41: 16: 1
    22: 1
    25: 1
    30: 1
    32: 1
    35: 1
    36: 1
    41: 1

42: 17: 1
    22: 1
    26: 1
    28: 1
    31: 1
    32: 1
    36: 1
    38: 1
    42: 1

43: 11: 1
    16: 1
    17: 1
    20: 1
    22: 1
    23: 1
    24: 1
    25: 1
    26: 1
    29: 1
    30: 1
    31: 1
    32: 1
    33: 1
    36: 1
    37: 1
    39: 1
    43: 1

44: 12: 1
    17: 1
    18: 1
    21: 1
    22: 1
    23: 1
    26: 1
    27: 1
    28: 1
    29: 1
    32: 1
    33: 1
    34: 1
    38: 1
    39: 1
    44: 1

45: 22: 1
    28: 1
    32: 1
    36: 1
    38: 1
    41: 1
    42: 1
    45: 1

46: 16: 1
    22: 1
    25: 1
    29: 1
    30: 1
    32: 1
    35: 1
    36: 1
    39: 1
    41: 1
    43: 1
    46: 1

47: 17: 1
    22: 1
    23: 1
    26: 1
    28: 1
    29: 1
    31: 1
    32: 1
    33: 1
    34: 1
    36: 1
    37: 1
    38: 1
    39: 1
    42: 1
    43: 1
    44: 1
    47: 1

48: 18: 1
    23: 1
    27: 1
    29: 1
    33: 1
    34: 1
    39: 1
    40: 1
    44: 1
    48: 1

49: 28: 1
    38: 1
    42: 1
    45: 1
    49: 1

50: 22: 1
    28: 1
    29: 1
    32: 1
    34: 1
    36: 1
    38: 1
    39: 1
    41: 1
    42: 1
    43: 1
    44: 1
    45: 1
    46: 1
    47: 1
    50: 1

51: 23: 1
    29: 1
    33: 1
    34: 1
    37: 1
    39: 1
    40: 1
    43: 1
    44: 1
    47: 1
    48: 1
    51: 1

52: 28: 1
    34: 1
    38: 1
    42: 1
    44: 1
    45: 1
    47: 1
    49: 1
    50: 1
    52: 1

53: 29: 1
    34: 1
    39: 1
    40: 1
    43: 1
    44: 1
    46: 1
    47: 1
    48: 1
    50: 1
    51: 1
    53: 1

54: 34: 1
    40: 1
    44: 1
    47: 1
    48: 1
    50: 1
    51: 1
    52: 1
    53: 1
    54: 1

55: 40: 1
    48: 1
    51: 1
    53: 1
    54: 1
    55: 1

462 nonzero polynomials, and 714 zero polynomials,
 at 1176 Bruhat-comparable pairs.