Spin(5,4) Double Cover
Infinitesimal characater: 1 integer(s) 3 half-integer(s)
Atlas K\G/B: kgb
Number of Blocks: 4
Block Size: 38
Blocks by Infinitesimal Character
Block 0
Infinitesimal Character (3.0, 2.5, 1.5, 0.5)
0( 25): * 0 2 0 ( 1, *) ( *, *) ( *, *) ( *, *) [i1,ic,C+,rn] 1
1( 29): * 4 3 1 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,C+,C+,rn] 2
2( 40): * 7 0 2 ( 3, *) ( *, *) ( *, *) ( 5, 6) [i1,C+,C-,i2] 2
3( 49): * 10 1 3 ( 2, *) ( *, *) ( *, *) ( 8, 9) [r1,C+,C-,i2] 3
4( 50): * 1 11 4 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,C+,rn] 3
5( 54): * 12 5 6 ( 8, *) ( *, *) ( *, *) ( 2, *) [i1,C+,rn,r2] 3
6( 54): * 13 6 5 ( 9, *) ( *, *) ( *, *) ( 2, *) [i1,C+,rn,r2] 3
7( 56): * 2 7 7 ( *, *) ( *, *) ( *, *) (12,13) [Cn,C-,ic,i2] 3
8( 66): * 14 8 9 ( 5, *) ( *, *) ( *, *) ( 3, *) [r1,C+,rn,r2] 4
9( 66): * 15 9 8 ( 6, *) ( *, *) ( *, *) ( 3, *) [r1,C+,rn,r2] 4
10( 67): * 3 16 10 ( *, *) ( *, *) ( *, *) (14,15) [Cn,C-,C+,i2] 4
11( 71): * 16 4 19 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,C-,C+] 4
12( 75): * 5 17 13 ( *, *) ( *, *) ( *, *) ( 7, *) [Cn,C-,C+,r2] 4
13( 75): * 6 18 12 ( *, *) ( *, *) ( *, *) ( 7, *) [Cn,C-,C+,r2] 4
14( 88): * 8 20 15 ( *, *) ( *, *) ( *, *) (10, *) [Cn,C-,C+,r2] 5
15( 88): * 9 21 14 ( *, *) ( *, *) ( *, *) (10, *) [Cn,C-,C+,r2] 5
16( 91): * 11 10 22 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,C-,C+] 5
17( 95): * 17 12 17 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C-,ic] 5
18( 95): * 18 13 18 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C-,ic] 5
19(100): * 22 23 11 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,C+,C-] 5
20(107): * 20 14 25 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C-,C+] 6
21(107): * 21 15 24 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C-,C+] 6
22(115): * 19 27 16 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,C+,C-] 6
23(119): * 28 19 23 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,C-,rn] 6
24(125): * 24 30 21 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C+,C-] 7
25(125): * 25 31 20 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C+,C-] 7
26(126): * 29 26 26 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,rn,rn] 7
27(131): * 32 22 27 ( *, *) ( *, *) ( *, *) (30,31) [Cn,C+,C-,i2] 7
28(132): * 23 32 28 (29, *) ( *, *) ( *, *) ( *, *) [i2,C-,C+,rn] 7
29(137): * 26 33 29 (28, *) ( *, *) ( *, *) ( *, *) [r1,C-,C+,rn] 8
30(139): * 34 24 31 ( *, *) ( *, *) ( *, *) (27, *) [Cn,C+,C-,r2] 8
31(139): * 35 25 30 ( *, *) ( *, *) ( *, *) (27, *) [Cn,C+,C-,r2] 8
32(141): * 27 28 32 (33, *) ( *, *) ( *, *) (34,35) [i2,C-,C-,i2] 8
33(144): * 33 29 33 (32, *) ( *, *) ( *, *) (36,37) [r1,rn,C-,i2] 9
34(147): * 30 34 35 (36, *) ( *, *) ( *, *) (32, *) [i2,C-,rn,r2] 9
35(147): * 31 35 34 (37, *) ( *, *) ( *, *) (32, *) [i2,C-,rn,r2] 9
36(148): * 36 36 37 (34, *) ( *, *) ( *, *) (33, *) [r1,rn,rn,r2] 10
37(148): * 37 37 36 (35, *) ( *, *) ( *, *) (33, *) [r1,rn,rn,r2] 10
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 1
Infinitesimal Character (2.5, 2.0, 1.5, 0.5)
0( 24): * * 3 0 ( 1, *) ( 2, *) ( *, *) ( *, *) [i1,i1,C+,rn] 1
1( 29): * * 5 1 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,Cn,C+,rn] 2
2( 30): * * 4 2 ( *, *) ( 0, *) ( *, *) ( *, *) [Cn,r1,C+,rn] 2
3( 41): * * 0 3 ( 5, *) ( *, *) ( *, *) ( 6, 7) [i1,Cn,C-,i2] 2
4( 48): * * 2 10 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,C+] 3
5( 49): * * 1 5 ( 3, *) ( *, *) ( *, *) ( 8, 9) [r1,Cn,C-,i2] 3
6( 53): * * 6 7 ( 8, *) ( *, *) ( *, *) ( 3, *) [i1,Cn,rn,r2] 3
7( 53): * * 7 6 ( 9, *) ( *, *) ( *, *) ( 3, *) [i1,Cn,rn,r2] 3
8( 66): * * 8 9 ( 6, *) ( *, *) ( *, *) ( 5, *) [r1,Cn,rn,r2] 4
9( 66): * * 9 8 ( 7, *) ( *, *) ( *, *) ( 5, *) [r1,Cn,rn,r2] 4
10( 76): * * 15 4 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C+,C-] 4
11( 78): * * 11 11 ( *, *) (12, *) ( *, *) (13,14) [Cn,i1,ic,i2] 4
12( 89): * * 19 12 ( *, *) (11, *) ( *, *) (16,17) [Cn,r1,C+,i2] 5
13( 96): * * 20 14 ( *, *) (16, *) ( *, *) (11, *) [Cn,i1,C+,r2] 5
14( 96): * * 21 13 ( *, *) (17, *) ( *, *) (11, *) [Cn,i1,C+,r2] 5
15(102): * * 10 15 ( *, *) (18, *) ( *, *) ( *, *) [Cn,i2,C-,rn] 5
16(108): * * 22 17 ( *, *) (13, *) ( *, *) (12, *) [Cn,r1,C+,r2] 6
17(108): * * 23 16 ( *, *) (14, *) ( *, *) (12, *) [Cn,r1,C+,r2] 6
18(109): * * 18 18 ( *, *) (15, *) ( *, *) ( *, *) [Cn,r1,rn,rn] 6
19(110): * * 12 25 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,C+] 6
20(111): * * 13 20 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,ic] 6
21(111): * * 14 21 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,ic] 6
22(124): * * 16 28 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,C+] 7
23(124): * * 17 27 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,C+] 7
24(132): * * 30 24 (26, *) ( *, *) ( *, *) ( *, *) [i2,Cn,C+,rn] 7
25(133): * * 29 19 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C+,C-] 7
26(137): * * 31 26 (24, *) ( *, *) ( *, *) ( *, *) [r1,Cn,C+,rn] 8
27(138): * * 32 23 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C+,C-] 8
28(138): * * 33 22 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C+,C-] 8
29(140): * * 25 29 ( *, *) (31, *) ( *, *) (32,33) [Cn,i2,C-,i2] 8
30(141): * * 24 30 (31, *) ( *, *) ( *, *) (34,35) [i2,Cn,C-,i2] 8
31(144): * * 26 31 (30, *) (29, *) ( *, *) (36,37) [r1,r1,C-,i2] 9
32(146): * * 27 33 ( *, *) (36, *) ( *, *) (29, *) [Cn,i2,C-,r2] 9
33(146): * * 28 32 ( *, *) (37, *) ( *, *) (29, *) [Cn,i2,C-,r2] 9
34(147): * * 34 35 (36, *) ( *, *) ( *, *) (30, *) [i2,Cn,rn,r2] 9
35(147): * * 35 34 (37, *) ( *, *) ( *, *) (30, *) [i2,Cn,rn,r2] 9
36(148): * * 36 37 (34, *) (32, *) ( *, *) (31, *) [r1,r1,rn,r2] 10
37(148): * * 37 36 (35, *) (33, *) ( *, *) (31, *) [r1,r1,rn,r2] 10
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 2
Infinitesimal Character (2.5, 1.5, 1.0, 0.5)
0( 26): 0 * * 0 ( *, *) ( 1, *) ( *, *) ( *, *) [ic,i1,Cn,rn] 1
1( 30): 2 * * 1 ( *, *) ( 0, *) ( *, *) ( *, *) [C+,r1,Cn,rn] 2
2( 50): 1 * * 2 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,Cn,rn] 3
3( 57): 8 * * 3 ( *, *) ( *, *) ( 5, *) ( 6, 7) [C+,Cn,i1,i2] 3
4( 67): 11 * * 4 ( *, *) ( *, *) ( *, *) ( 9,10) [C+,Cn,Cn,i2] 4
5( 70): 12 * * 15 ( *, *) ( *, *) ( 3, *) ( *, *) [C+,Cn,r1,C+] 4
6( 74): 13 * * 7 ( *, *) ( *, *) ( *, *) ( 3, *) [C+,Cn,Cn,r2] 4
7( 74): 14 * * 6 ( *, *) ( *, *) ( *, *) ( 3, *) [C+,Cn,Cn,r2] 4
8( 79): 3 * * 8 ( *, *) (11, *) (12, *) (13,14) [C-,i1,i1,i2] 4
9( 88): 17 * * 10 ( *, *) ( *, *) ( *, *) ( 4, *) [C+,Cn,Cn,r2] 5
10( 88): 18 * * 9 ( *, *) ( *, *) ( *, *) ( 4, *) [C+,Cn,Cn,r2] 5
11( 89): 4 * * 11 ( *, *) ( 8, *) ( *, *) (17,18) [C-,r1,Cn,i2] 5
12( 90): 5 * * 20 ( *, *) ( *, *) ( 8, *) ( *, *) [C-,Cn,r1,C+] 5
13( 97): 6 * * 14 ( *, *) (17, *) ( *, *) ( 8, *) [C-,i1,Cn,r2] 5
14( 97): 7 * * 13 ( *, *) (18, *) ( *, *) ( 8, *) [C-,i1,Cn,r2] 5
15(101): 20 * * 5 ( *, *) ( *, *) (19, *) ( *, *) [C+,Cn,i2,C-] 5
16(102): 21 * * 16 ( *, *) (19, *) ( *, *) ( *, *) [C+,i2,Cn,rn] 5
17(108): 9 * * 18 ( *, *) (13, *) ( *, *) (11, *) [C-,r1,Cn,r2] 6
18(108): 10 * * 17 ( *, *) (14, *) ( *, *) (11, *) [C-,r1,Cn,r2] 6
19(109): 22 * * 19 ( *, *) (16, *) (15, *) ( *, *) [C+,r1,r1,rn] 6
20(116): 15 * * 12 ( *, *) ( *, *) (22, *) ( *, *) [C-,Cn,i2,C-] 6
21(119): 16 * * 21 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,Cn,rn] 6
22(126): 19 * * 22 ( *, *) ( *, *) (20, *) ( *, *) [C-,Cn,r1,rn] 7
23(128): 23 * * 23 ( *, *) ( *, *) (26, *) ( *, *) [rn,Cn,i1,ic] 7
24(128): 24 * * 24 ( *, *) ( *, *) (27, *) ( *, *) [rn,Cn,i1,ic] 7
25(131): 30 * * 25 ( *, *) ( *, *) ( *, *) (28,29) [C+,Cn,Cn,i2] 7
26(136): 26 * * 33 ( *, *) ( *, *) (23, *) ( *, *) [rn,Cn,r1,C+] 8
27(136): 27 * * 32 ( *, *) ( *, *) (24, *) ( *, *) [rn,Cn,r1,C+] 8
28(139): 34 * * 29 ( *, *) ( *, *) ( *, *) (25, *) [C+,Cn,Cn,r2] 8
29(139): 35 * * 28 ( *, *) ( *, *) ( *, *) (25, *) [C+,Cn,Cn,r2] 8
30(140): 25 * * 30 ( *, *) (31, *) ( *, *) (34,35) [C-,i2,Cn,i2] 8
31(144): 31 * * 31 ( *, *) (30, *) ( *, *) (36,37) [rn,r1,Cn,i2] 9
32(145): 32 * * 27 ( *, *) ( *, *) (36, *) ( *, *) [rn,Cn,i2,C-] 9
33(145): 33 * * 26 ( *, *) ( *, *) (37, *) ( *, *) [rn,Cn,i2,C-] 9
34(146): 28 * * 35 ( *, *) (36, *) ( *, *) (30, *) [C-,i2,Cn,r2] 9
35(146): 29 * * 34 ( *, *) (37, *) ( *, *) (30, *) [C-,i2,Cn,r2] 9
36(148): 36 * * 37 ( *, *) (34, *) (32, *) (31, *) [rn,r1,r1,r2] 10
37(148): 37 * * 36 ( *, *) (35, *) (33, *) (31, *) [rn,r1,r1,r2] 10
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 3
Infinitesimal Character (3.5, 2.5, 1.5, 1.0)
0( 39): 0 2 * 0 ( *, *) ( *, *) ( *, *) ( *, *) [ic,C+,Cn,ic] 2
1( 48): 4 3 * 5 ( *, *) ( *, *) ( *, *) ( *, *) [C+,C+,Cn,C+] 3
2( 55): 6 0 * 2 ( *, *) ( *, *) ( 3, *) ( *, *) [C+,C-,i1,ic] 3
3( 70): 7 1 * 12 ( *, *) ( *, *) ( 2, *) ( *, *) [C+,C-,r1,C+] 4
4( 71): 1 8 * 11 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C+] 4
5( 76): 11 12 * 1 ( *, *) ( *, *) ( *, *) ( *, *) [C+,C+,Cn,C-] 4
6( 77): 2 6 * 6 ( *, *) ( *, *) ( 7, *) ( *, *) [C-,ic,i1,ic] 4
7( 90): 3 16 * 20 ( *, *) ( *, *) ( 6, *) ( *, *) [C-,C+,r1,C+] 5
8( 91): 16 4 * 19 ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,Cn,C+] 5
9( 94): 17 9 * 10 ( *, *) ( *, *) ( *, *) (15, *) [C+,rn,Cn,i2] 5
10( 94): 18 10 * 9 ( *, *) ( *, *) ( *, *) (15, *) [C+,rn,Cn,i2] 5
11(100): 5 19 * 4 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C-] 5
12(101): 20 5 * 3 ( *, *) ( *, *) (15, *) ( *, *) [C+,C-,i2,C-] 5
13(107): 21 13 * 23 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C+] 6
14(107): 22 14 * 24 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C+] 6
15(109): 25 15 * 15 ( *, *) ( *, *) (12, *) ( 9,10) [C+,rn,r1,r2] 6
16(110): 8 7 * 28 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C-,Cn,C+] 6
17(112): 9 26 * 18 ( *, *) ( *, *) ( *, *) (25, *) [C-,C+,Cn,i2] 6
18(112): 10 27 * 17 ( *, *) ( *, *) ( *, *) (25, *) [C-,C+,Cn,i2] 6
19(115): 28 11 * 8 ( *, *) ( *, *) ( *, *) ( *, *) [C+,C-,Cn,C-] 6
20(116): 12 28 * 7 ( *, *) ( *, *) (25, *) ( *, *) [C-,C+,i2,C-] 6
21(124): 13 29 * 32 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C+] 7
22(124): 14 30 * 33 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C+] 7
23(125): 32 23 * 13 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C-] 7
24(125): 33 24 * 14 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C-] 7
25(126): 15 31 * 25 ( *, *) ( *, *) (20, *) (17,18) [C-,C+,r1,r2] 7
26(127): 26 17 * 27 ( *, *) ( *, *) (29, *) (31, *) [rn,C-,i1,i2] 7
27(127): 27 18 * 26 ( *, *) ( *, *) (30, *) (31, *) [rn,C-,i1,i2] 7
28(133): 19 20 * 16 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C-,Cn,C-] 7
29(136): 29 21 * 34 ( *, *) ( *, *) (26, *) ( *, *) [rn,C-,r1,C+] 8
30(136): 30 22 * 35 ( *, *) ( *, *) (27, *) ( *, *) [rn,C-,r1,C+] 8
31(137): 31 25 * 31 ( *, *) ( *, *) ( *, *) (26,27) [rn,C-,Cn,r2] 8
32(138): 23 34 * 21 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C-] 8
33(138): 24 35 * 22 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C-] 8
34(145): 34 32 * 29 ( *, *) ( *, *) (36, *) ( *, *) [rn,C-,i2,C-] 9
35(145): 35 33 * 30 ( *, *) ( *, *) (37, *) ( *, *) [rn,C-,i2,C-] 9
36(148): 36 36 * 36 ( *, *) ( *, *) (34, *) ( *, *) [rn,rn,r1,rn] 10
37(148): 37 37 * 37 ( *, *) ( *, *) (35, *) ( *, *) [rn,rn,r1,rn] 10
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis