Spin(6,3) Double Cover
Infinitesimal characater: 2 integer(s) 2 half-integer(s)
Atlas K\G/B: kgb
Number of Blocks: 6
Block Size: 14
Blocks by Infinitesimal Character
Block 0
Infinitesimal Character (3.0, 2.0, 1.5, 0.5)
0(16): 0 * 2 0 ( *, *) ( 1, *) ( *, *) ( *, *) [ic,i1,C+,rn] 1
1(18): 4 * 3 1 ( *, *) ( 0, *) ( *, *) ( *, *) [C+,r1,C+,rn] 2
2(23): 2 * 0 2 ( *, *) ( *, *) ( *, *) ( 5, 6) [ic,Cn,C-,i2] 2
3(28): 7 * 1 8 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,C-,C+] 3
4(30): 1 * 7 4 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,C+,rn] 3
5(31): 5 * 5 6 ( *, *) ( *, *) ( *, *) ( 2, *) [ic,Cn,rn,r2] 3
6(31): 6 * 6 5 ( *, *) ( *, *) ( *, *) ( 2, *) [ic,Cn,rn,r2] 3
7(41): 3 * 4 9 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,C-,C+] 4
8(43): 9 * 10 3 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,C+,C-] 4
9(56): 8 * 12 7 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,C+,C-] 5
10(58): 12 * 8 10 ( *, *) (11, *) ( *, *) ( *, *) [C+,i2,C-,rn] 5
11(61): 13 * 11 11 ( *, *) (10, *) ( *, *) ( *, *) [C+,r1,rn,rn] 6
12(66): 10 * 9 12 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,C-,rn] 6
13(69): 11 * 13 13 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,rn,rn] 7
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 1
Infinitesimal Character (2.0, 1.5, 1.0, 0.5)
0(15): * * * 0 ( 1, *) ( 2, *) ( *, *) ( *, *) [i1,i1,Cn,rn] 1
1(17): * * * 1 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,Cn,Cn,rn] 2
2(18): * * * 2 ( *, *) ( 0, *) ( *, *) ( *, *) [Cn,r1,Cn,rn] 2
3(32): * * * 3 ( *, *) ( *, *) ( 4, *) ( 5, 6) [Cn,Cn,i1,i2] 3
4(40): * * * 8 ( *, *) ( *, *) ( 3, *) ( *, *) [Cn,Cn,r1,C+] 4
5(42): * * * 6 ( *, *) ( *, *) ( *, *) ( 3, *) [Cn,Cn,Cn,r2] 4
6(42): * * * 5 ( *, *) ( *, *) ( *, *) ( 3, *) [Cn,Cn,Cn,r2] 4
7(53): * * * 11 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,Cn,C+] 5
8(57): * * * 4 ( *, *) ( *, *) (10, *) ( *, *) [Cn,Cn,i2,C-] 5
9(58): * * * 9 ( *, *) (10, *) ( *, *) ( *, *) [Cn,i2,Cn,rn] 5
10(61): * * * 10 ( *, *) ( 9, *) ( 8, *) ( *, *) [Cn,r1,r1,rn] 6
11(64): * * * 7 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,Cn,C-] 6
12(72): * * * 12 (13, *) ( *, *) ( *, *) ( *, *) [i2,Cn,Cn,rn] 7
13(74): * * * 13 (12, *) ( *, *) ( *, *) ( *, *) [r1,Cn,Cn,rn] 8
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, 1.5, 1.0)
0(24): * 3 * 0 ( 2, *) ( *, *) ( *, *) ( *, *) [i1,C+,Cn,ic] 2
1(28): * 5 * 6 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,Cn,C+] 3
2(29): * 4 * 2 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,C+,Cn,ic] 3
3(33): * 0 * 3 ( *, *) ( *, *) ( 5, *) ( *, *) [Cn,C-,i1,ic] 3
4(39): * 2 * 4 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,Cn,ic] 4
5(40): * 1 * 9 ( *, *) ( *, *) ( 3, *) ( *, *) [Cn,C-,r1,C+] 4
6(43): * 9 * 1 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,Cn,C-] 4
7(54): * 7 * 8 ( *, *) ( *, *) ( *, *) (10, *) [Cn,rn,Cn,i2] 5
8(54): * 8 * 7 ( *, *) ( *, *) ( *, *) (10, *) [Cn,rn,Cn,i2] 5
9(57): * 6 * 5 ( *, *) ( *, *) (10, *) ( *, *) [Cn,C-,i2,C-] 5
10(61): * 10 * 10 ( *, *) ( *, *) ( 9, *) ( 7, 8) [Cn,rn,r1,r2] 6
11(71): * 12 * 11 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,Cn,ic] 7
12(76): * 11 * 12 (13, *) ( *, *) ( *, *) ( *, *) [i2,C-,Cn,ic] 8
13(77): * 13 * 13 (12, *) ( *, *) ( *, *) ( *, *) [r1,rn,Cn,ic] 9
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 3
Infinitesimal Character (2.5, 2.0, 1.0, 0.5)
0(14): * 0 * 0 ( 1, *) ( *, *) ( *, *) ( *, *) [i1,ic,Cn,rn] 1
1(17): * 2 * 1 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,C+,Cn,rn] 2
2(30): * 1 * 2 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,Cn,rn] 3
3(44): * 3 * 3 ( *, *) ( *, *) ( 4, *) ( 5, 6) [Cn,ic,i1,i2] 4
4(52): * 7 * 8 ( *, *) ( *, *) ( 3, *) ( *, *) [Cn,C+,r1,C+] 5
5(55): * 5 * 6 ( *, *) ( *, *) ( *, *) ( 3, *) [Cn,ic,Cn,r2] 5
6(55): * 6 * 5 ( *, *) ( *, *) ( *, *) ( 3, *) [Cn,ic,Cn,r2] 5
7(62): * 4 * 12 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,Cn,C+] 6
8(65): * 12 * 4 ( *, *) ( *, *) (10, *) ( *, *) [Cn,C+,i2,C-] 6
9(66): * 11 * 9 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C+,Cn,rn] 6
10(69): * 13 * 10 ( *, *) ( *, *) ( 8, *) ( *, *) [Cn,C+,r1,rn] 7
11(72): * 9 * 11 (13, *) ( *, *) ( *, *) ( *, *) [i2,C-,Cn,rn] 7
12(73): * 8 * 7 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,C-,Cn,C-] 7
13(74): * 10 * 13 (11, *) ( *, *) ( *, *) ( *, *) [r1,C-,Cn,rn] 8
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 4
Infinitesimal Character (2.5, 2.0, 1.5, 1.0)
0(25): * * * 0 ( 1, *) ( *, *) ( *, *) ( *, *) [i1,Cn,Cn,ic] 2
1(29): * * * 1 ( 0, *) ( *, *) ( *, *) ( *, *) [r1,Cn,Cn,ic] 3
2(41): * * * 6 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,Cn,C+] 4
3(45): * * * 3 ( *, *) ( 4, *) ( 5, *) ( *, *) [Cn,i1,i1,ic] 4
4(51): * * * 4 ( *, *) ( 3, *) ( *, *) ( *, *) [Cn,r1,Cn,ic] 5
5(52): * * * 9 ( *, *) ( *, *) ( 3, *) ( *, *) [Cn,Cn,r1,C+] 5
6(56): * * * 2 ( *, *) ( *, *) ( *, *) ( *, *) [Cn,Cn,Cn,C-] 5
7(63): * * * 8 ( *, *) ( *, *) ( *, *) (10, *) [Cn,Cn,Cn,i2] 6
8(63): * * * 7 ( *, *) ( *, *) ( *, *) (10, *) [Cn,Cn,Cn,i2] 6
9(65): * * * 5 ( *, *) ( *, *) (10, *) ( *, *) [Cn,Cn,i2,C-] 6
10(69): * * * 10 ( *, *) ( *, *) ( 9, *) ( 7, 8) [Cn,Cn,r1,r2] 7
11(75): * * * 11 ( *, *) (13, *) ( *, *) ( *, *) [Cn,i2,Cn,ic] 8
12(76): * * * 12 (13, *) ( *, *) ( *, *) ( *, *) [i2,Cn,Cn,ic] 8
13(77): * * * 13 (12, *) (11, *) ( *, *) ( *, *) [r1,r1,Cn,ic] 9
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis
Block 5
Infinitesimal Character (3.5, 2.5, 2.0, 1.0)
0(34): 2 * 0 0 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,ic,ic] 3
1(39): 3 * 4 1 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,C+,ic] 4
2(46): 0 * 2 2 ( *, *) ( 3, *) ( *, *) ( *, *) [C-,i1,ic,ic] 4
3(51): 1 * 5 3 ( *, *) ( 2, *) ( *, *) ( *, *) [C-,r1,C+,ic] 5
4(53): 5 * 1 6 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,C-,C+] 5
5(62): 4 * 3 10 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,C-,C+] 6
6(64): 10 * 9 4 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,C+,C-] 6
7(70): 7 * 7 8 ( *, *) ( *, *) ( *, *) (11, *) [rn,Cn,ic,i2] 7
8(70): 8 * 8 7 ( *, *) ( *, *) ( *, *) (11, *) [rn,Cn,ic,i2] 7
9(71): 12 * 6 9 ( *, *) ( *, *) ( *, *) ( *, *) [C+,Cn,C-,ic] 7
10(73): 6 * 12 5 ( *, *) ( *, *) ( *, *) ( *, *) [C-,Cn,C+,C-] 7
11(74): 11 * 13 11 ( *, *) ( *, *) ( *, *) ( 7, 8) [rn,Cn,C+,r2] 8
12(75): 9 * 10 12 ( *, *) (13, *) ( *, *) ( *, *) [C-,i2,C-,ic] 8
13(77): 13 * 11 13 ( *, *) (12, *) ( *, *) ( *, *) [rn,r1,C-,ic] 9
Kgb Graph
Block Text
Block Graph
R-Polynomial List
R-Polynomial Basis
KL-Polynomial List
KL-Polynomial Basis