Spin(15,2) Double Cover
Infinitesimal characater: 0 integer(s) 8 half-integer(s)
Atlas K\G/B: kgb
Number of Blocks: 1
Block Size: 64
Blocks by Infinitesimal Character
Block 0
Infinitesimal Character (7.5, 6.5, 5.5, 4.5, 3.5, 2.5, 1.5, 0.5)
0( 30): 0 0 0 0 0 0 1 0 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,ic,ic,ic,ic,C+,rn] 1
1( 43): 1 1 1 1 1 4 0 1 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 2, 3) [ic,ic,ic,ic,ic,C+,C-,i2] 2
2( 46): 2 2 2 2 2 5 2 3 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 1, *) [ic,ic,ic,ic,ic,C+,rn,r2] 3
3( 46): 3 3 3 3 3 6 3 2 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 1, *) [ic,ic,ic,ic,ic,C+,rn,r2] 3
4( 55): 4 4 4 4 7 1 4 4 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 5, 6) [ic,ic,ic,ic,C+,C-,ic,i2] 3
5( 60): 5 5 5 5 10 2 8 6 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 4, *) [ic,ic,ic,ic,C+,C-,C+,r2] 4
6( 60): 6 6 6 6 11 3 9 5 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 4, *) [ic,ic,ic,ic,C+,C-,C+,r2] 4
7( 65): 7 7 7 12 4 7 7 7 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (10,11) [ic,ic,ic,C+,C-,ic,ic,i2] 4
8( 74): 8 8 8 8 13 8 5 8 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,ic,ic,C+,rn,C-,ic] 5
9( 74): 9 9 9 9 14 9 6 9 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,ic,ic,C+,rn,C-,ic] 5
10( 75): 10 10 10 15 5 10 13 11 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 7, *) [ic,ic,ic,C+,C-,ic,C+,r2] 5
11( 75): 11 11 11 16 6 11 14 10 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 7, *) [ic,ic,ic,C+,C-,ic,C+,r2] 5
12( 76): 12 12 17 7 12 12 12 12 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (15,16) [ic,ic,C+,C-,ic,ic,ic,i2] 5
13( 87): 13 13 13 20 8 18 10 13 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,ic,C+,C-,C+,C-,ic] 6
14( 87): 14 14 14 21 9 19 11 14 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,ic,C+,C-,C+,C-,ic] 6
15( 88): 15 15 22 10 15 15 20 16 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (12, *) [ic,ic,C+,C-,ic,ic,C+,r2] 6
16( 88): 16 16 23 11 16 16 21 15 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (12, *) [ic,ic,C+,C-,ic,ic,C+,r2] 6
17( 89): 17 24 12 17 17 17 17 17 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (22,23) [ic,C+,C-,ic,ic,ic,ic,i2] 6
18(100): 18 18 18 25 18 13 18 18 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,ic,C+,rn,C-,ic,ic] 7
19(100): 19 19 19 26 19 14 19 19 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,ic,C+,rn,C-,ic,ic] 7
20(101): 20 20 27 13 20 25 15 20 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,C+,C-,ic,C+,C-,ic] 7
21(101): 21 21 28 14 21 26 16 21 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,C+,C-,ic,C+,C-,ic] 7
22(102): 22 29 15 22 22 22 27 23 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (17, *) [ic,C+,C-,ic,ic,ic,C+,r2] 7
23(102): 23 30 16 23 23 23 28 22 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (17, *) [ic,C+,C-,ic,ic,ic,C+,r2] 7
24(103): 31 17 24 24 24 24 24 24 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (29,30) [C+,C-,ic,ic,ic,ic,ic,i2] 7
25(112): 25 25 34 18 32 20 25 25 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,C+,C-,C+,C-,ic,ic] 8
26(112): 26 26 35 19 33 21 26 26 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,C+,C-,C+,C-,ic,ic] 8
27(113): 27 36 20 27 27 34 22 27 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,C-,ic,ic,C+,C-,ic] 8
28(113): 28 37 21 28 28 35 23 28 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,C-,ic,ic,C+,C-,ic] 8
29(114): 38 22 29 29 29 29 36 30 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (24, *) [C+,C-,ic,ic,ic,ic,C+,r2] 8
30(114): 39 23 30 30 30 30 37 29 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (24, *) [C+,C-,ic,ic,ic,ic,C+,r2] 8
31(115): 24 31 31 31 31 31 31 31 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (38,39) [C-,ic,ic,ic,ic,ic,ic,i2] 8
32(124): 32 32 40 32 25 32 32 32 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,C+,rn,C-,ic,ic,ic] 9
33(124): 33 33 41 33 26 33 33 33 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,ic,C+,rn,C-,ic,ic,ic] 9
34(125): 34 42 25 34 40 27 34 34 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,C-,ic,C+,C-,ic,ic] 9
35(125): 35 43 26 35 41 28 35 35 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,C-,ic,C+,C-,ic,ic] 9
36(126): 44 27 36 36 36 42 29 36 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,ic,ic,ic,C+,C-,ic] 9
37(126): 45 28 37 37 37 43 30 37 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,ic,ic,ic,C+,C-,ic] 9
38(127): 29 38 38 38 38 38 44 39 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (31, *) [C-,ic,ic,ic,ic,ic,C+,r2] 9
39(127): 30 39 39 39 39 39 45 38 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (31, *) [C-,ic,ic,ic,ic,ic,C+,r2] 9
40(134): 40 48 32 46 34 40 40 40 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,C-,C+,C-,ic,ic,ic] 10
41(134): 41 49 33 47 35 41 41 41 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,C-,C+,C-,ic,ic,ic] 10
42(135): 50 34 42 42 48 36 42 42 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,ic,ic,C+,C-,ic,ic] 10
43(135): 51 35 43 43 49 37 43 43 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,ic,ic,C+,C-,ic,ic] 10
44(136): 36 44 44 44 44 50 38 44 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,ic,ic,ic,C+,C-,ic] 10
45(136): 37 45 45 45 45 51 39 45 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,ic,ic,ic,C+,C-,ic] 10
46(143): 46 52 46 40 46 46 46 46 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,rn,C-,ic,ic,ic,ic] 11
47(143): 47 53 47 41 47 47 47 47 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,rn,C-,ic,ic,ic,ic] 11
48(144): 54 40 48 52 42 48 48 48 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,ic,C+,C-,ic,ic,ic] 11
49(144): 55 41 49 53 43 49 49 49 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,ic,C+,C-,ic,ic,ic] 11
50(145): 42 50 50 50 54 44 50 50 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,ic,ic,C+,C-,ic,ic] 11
51(145): 43 51 51 51 55 45 51 51 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,ic,ic,C+,C-,ic,ic] 11
52(150): 58 46 56 48 52 52 52 52 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,C+,C-,ic,ic,ic,ic] 12
53(150): 59 47 57 49 53 53 53 53 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,C+,C-,ic,ic,ic,ic] 12
54(151): 48 54 54 58 50 54 54 54 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,ic,C+,C-,ic,ic,ic] 12
55(151): 49 55 55 59 51 55 55 55 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,ic,C+,C-,ic,ic,ic] 12
56(156): 60 56 52 56 56 56 56 56 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,C-,ic,ic,ic,ic,ic] 13
57(156): 61 57 53 57 57 57 57 57 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,C-,ic,ic,ic,ic,ic] 13
58(157): 52 58 60 54 58 58 58 58 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,C+,C-,ic,ic,ic,ic] 13
59(157): 53 59 61 55 59 59 59 59 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,ic,C+,C-,ic,ic,ic,ic] 13
60(160): 56 62 58 60 60 60 60 60 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,C-,ic,ic,ic,ic,ic] 14
61(160): 57 63 59 61 61 61 61 61 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,C-,ic,ic,ic,ic,ic] 14
62(163): 62 60 62 62 62 62 62 62 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [rn,C-,ic,ic,ic,ic,ic,ic] 15
63(163): 63 61 63 63 63 63 63 63 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) [rn,C-,ic,ic,ic,ic,ic,ic] 15
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis