Spin(5,4) Double Cover
Infinitesimal characater: 3 integer(s) 1 half-integer(s)
Atlas K\G/B: kgb
Number of Blocks: 4
Block Size: 21
Blocks by Infinitesimal Character
Block 0
Infinitesimal Character (3.0, 2.0, 1.0, 0.5)
0( 95): 4 0 * 0 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,ic] 5
1( 95): 5 1 * 1 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,ic] 5
2(107): 6 2 * 9 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C+] 6
3(107): 7 3 * 8 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C+] 6
4(111): 0 10 * 4 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,ic] 6
5(111): 1 11 * 5 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,ic] 6
6(124): 2 12 * 15 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C+] 7
7(124): 3 13 * 14 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C+] 7
8(125): 14 8 * 3 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C-] 7
9(125): 15 9 * 2 ( *, *) ( *, *) ( *, *) ( *, *) [C+,rn,Cn,C-] 7
10(128): 10 4 * 10 ( *, *) ( *, *) (12, *) ( *, *) [rn,C-,i1,ic] 7
11(128): 11 5 * 11 ( *, *) ( *, *) (13, *) ( *, *) [rn,C-,i1,ic] 7
12(136): 12 6 * 18 ( *, *) ( *, *) (10, *) ( *, *) [rn,C-,r1,C+] 8
13(136): 13 7 * 17 ( *, *) ( *, *) (11, *) ( *, *) [rn,C-,r1,C+] 8
14(138): 8 17 * 7 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C-] 8
15(138): 9 18 * 6 ( *, *) ( *, *) ( *, *) ( *, *) [C-,C+,Cn,C-] 8
16(144): 16 16 * 16 ( *, *) ( *, *) ( *, *) (19,20) [rn,rn,Cn,i2] 9
17(145): 17 14 * 13 ( *, *) ( *, *) (19, *) ( *, *) [rn,C-,i2,C-] 9
18(145): 18 15 * 12 ( *, *) ( *, *) (20, *) ( *, *) [rn,C-,i2,C-] 9
19(148): 19 19 * 20 ( *, *) ( *, *) (17, *) (16, *) [rn,rn,r1,r2] 10
20(148): 20 20 * 19 ( *, *) ( *, *) (18, *) (16, *) [rn,rn,r1,r2] 10
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 1
Infinitesimal Character (3.0, 2.0, 1.5, 1.0)
0( 75): 4 * * 0 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,Cn,rn] 4
1( 75): 5 * * 1 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,Cn,rn] 4
2( 88): 6 * * 2 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,Cn,rn] 5
3( 88): 7 * * 3 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,Cn,rn] 5
4( 96): 0 * * 4 ( *, *) ( 6, *) ( *, *) ( *, *) [C-,i1,Cn,rn] 5
5( 96): 1 * * 5 ( *, *) ( 7, *) ( *, *) ( *, *) [C-,i1,Cn,rn] 5
6(108): 2 * * 6 ( *, *) ( 4, *) ( *, *) ( *, *) [C-,r1,Cn,rn] 6
7(108): 3 * * 7 ( *, *) ( 5, *) ( *, *) ( *, *) [C-,r1,Cn,rn] 6
8(127): 8 * * 9 ( *, *) ( *, *) (10, *) (12, *) [rn,Cn,i1,i2] 7
9(127): 9 * * 8 ( *, *) ( *, *) (11, *) (12, *) [rn,Cn,i1,i2] 7
10(136): 10 * * 15 ( *, *) ( *, *) ( 8, *) ( *, *) [rn,Cn,r1,C+] 8
11(136): 11 * * 16 ( *, *) ( *, *) ( 9, *) ( *, *) [rn,Cn,r1,C+] 8
12(137): 12 * * 12 ( *, *) ( *, *) ( *, *) ( 8, 9) [rn,Cn,Cn,r2] 8
13(139): 17 * * 13 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,Cn,rn] 8
14(139): 18 * * 14 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,Cn,rn] 8
15(145): 15 * * 10 ( *, *) ( *, *) (19, *) ( *, *) [rn,Cn,i2,C-] 9
16(145): 16 * * 11 ( *, *) ( *, *) (20, *) ( *, *) [rn,Cn,i2,C-] 9
17(146): 13 * * 17 ( *, *) (19, *) ( *, *) ( *, *) [C-,i2,Cn,rn] 9
18(146): 14 * * 18 ( *, *) (20, *) ( *, *) ( *, *) [C-,i2,Cn,rn] 9
19(148): 19 * * 19 ( *, *) (17, *) (15, *) ( *, *) [rn,r1,r1,rn] 10
20(148): 20 * * 20 ( *, *) (18, *) (16, *) ( *, *) [rn,r1,r1,rn] 10
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 2
Infinitesimal Character (3.0, 2.5, 2.0, 1.0)
0( 54): * * 0 0 ( 2, *) ( *, *) ( *, *) ( *, *) [i1,Cn,rn,rn] 3
1( 54): * * 1 1 ( 3, *) ( *, *) ( *, *) ( *, *) [i1,Cn,rn,rn] 3
2( 66): * * 2 2 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,Cn,rn,rn] 4
3( 66): * * 3 3 ( 1, *) ( *, *) ( *, *) ( *, *) [r1,Cn,rn,rn] 4
4( 97): * * 8 4 ( *, *) ( 6, *) ( *, *) ( *, *) [Cn,i1,C+,rn] 5
5( 97): * * 9 5 ( *, *) ( 7, *) ( *, *) ( *, *) [Cn,i1,C+,rn] 5
6(108): * * 10 6 ( *, *) ( 4, *) ( *, *) ( *, *) [Cn,r1,C+,rn] 6
7(108): * * 11 7 ( *, *) ( 5, *) ( *, *) ( *, *) [Cn,r1,C+,rn] 6
8(112): * * 4 9 ( *, *) ( *, *) ( *, *) (12, *) [Cn,Cn,C-,i2] 6
9(112): * * 5 8 ( *, *) ( *, *) ( *, *) (12, *) [Cn,Cn,C-,i2] 6
10(124): * * 6 13 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,C+] 7
11(124): * * 7 14 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C-,C+] 7
12(126): * * 12 12 ( *, *) ( *, *) ( *, *) ( 8, 9) [Cn,Cn,rn,r2] 7
13(138): * * 15 10 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C+,C-] 8
14(138): * * 16 11 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,C+,C-] 8
15(146): * * 13 15 ( *, *) (19, *) ( *, *) ( *, *) [Cn,i2,C-,rn] 9
16(146): * * 14 16 ( *, *) (20, *) ( *, *) ( *, *) [Cn,i2,C-,rn] 9
17(147): * * 17 17 (19, *) ( *, *) ( *, *) ( *, *) [i2,Cn,rn,rn] 9
18(147): * * 18 18 (20, *) ( *, *) ( *, *) ( *, *) [i2,Cn,rn,rn] 9
19(148): * * 19 19 (17, *) (15, *) ( *, *) ( *, *) [r1,r1,rn,rn] 10
20(148): * * 20 20 (18, *) (16, *) ( *, *) ( *, *) [r1,r1,rn,rn] 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, 3.0, 2.0, 1.0)
0( 53): * 4 0 0 ( 2, *) ( *, *) ( *, *) ( *, *) [i1,C+,rn,rn] 3
1( 53): * 5 1 1 ( 3, *) ( *, *) ( *, *) ( *, *) [i1,C+,rn,rn] 3
2( 66): * 6 2 2 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,C+,rn,rn] 4
3( 66): * 7 3 3 ( 1, *) ( *, *) ( *, *) ( *, *) [r1,C+,rn,rn] 4
4( 74): * 0 8 4 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,C+,rn] 4
5( 74): * 1 9 5 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,C+,rn] 4
6( 88): * 2 10 6 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,C+,rn] 5
7( 88): * 3 11 7 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,C+,rn] 5
8( 94): * 8 4 9 ( *, *) ( *, *) ( *, *) (12, *) [Cn,rn,C-,i2] 5
9( 94): * 9 5 8 ( *, *) ( *, *) ( *, *) (12, *) [Cn,rn,C-,i2] 5
10(107): * 10 6 13 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C-,C+] 6
11(107): * 11 7 14 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C-,C+] 6
12(109): * 12 12 12 ( *, *) ( *, *) ( *, *) ( 8, 9) [Cn,rn,rn,r2] 6
13(125): * 13 15 10 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C+,C-] 7
14(125): * 14 16 11 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,rn,C+,C-] 7
15(139): * 17 13 15 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,C-,rn] 8
16(139): * 18 14 16 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,C-,rn] 8
17(147): * 15 17 17 (19, *) ( *, *) ( *, *) ( *, *) [i2,C-,rn,rn] 9
18(147): * 16 18 18 (20, *) ( *, *) ( *, *) ( *, *) [i2,C-,rn,rn] 9
19(148): * 19 19 19 (17, *) ( *, *) ( *, *) ( *, *) [r1,rn,rn,rn] 10
20(148): * 20 20 20 (18, *) ( *, *) ( *, *) ( *, *) [r1,rn,rn,rn] 10
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis