10 133 Quantum Invariants
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A1 Invariants.
Weight
Invariant
1
q
19
−
q
17
−
q
13
+
2
q
5
+
q
{\displaystyle q^{19}-q^{17}-q^{13}+2q^{5}+q}
2
q
54
−
q
52
−
2
q
50
+
2
q
48
+
q
46
−
2
q
44
+
2
q
40
−
q
36
+
q
34
+
q
32
−
2
q
30
+
q
26
−
2
q
24
−
q
22
+
q
20
−
2
q
16
+
q
14
+
2
q
12
+
q
6
+
q
4
+
q
2
{\displaystyle q^{54}-q^{52}-2q^{50}+2q^{48}+q^{46}-2q^{44}+2q^{40}-q^{36}+q^{34}+q^{32}-2q^{30}+q^{26}-2q^{24}-q^{22}+q^{20}-2q^{16}+q^{14}+2q^{12}+q^{6}+q^{4}+q^{2}}
3
q
105
−
q
103
−
2
q
101
+
3
q
97
+
3
q
95
−
3
q
93
−
4
q
91
+
4
q
87
+
3
q
85
−
2
q
83
−
4
q
81
−
q
79
+
3
q
77
+
4
q
75
−
2
q
73
−
6
q
71
−
2
q
69
+
6
q
67
+
4
q
65
−
5
q
63
−
4
q
61
+
5
q
59
+
5
q
57
−
3
q
55
−
3
q
53
+
3
q
51
+
3
q
49
−
4
q
47
−
3
q
45
+
q
43
+
3
q
41
−
2
q
37
−
5
q
35
+
2
q
33
+
6
q
31
+
q
29
−
8
q
27
−
6
q
25
+
7
q
23
+
7
q
21
−
3
q
19
−
6
q
17
+
q
15
+
5
q
13
+
2
q
11
−
2
q
9
+
q
5
+
2
q
3
{\displaystyle q^{105}-q^{103}-2q^{101}+3q^{97}+3q^{95}-3q^{93}-4q^{91}+4q^{87}+3q^{85}-2q^{83}-4q^{81}-q^{79}+3q^{77}+4q^{75}-2q^{73}-6q^{71}-2q^{69}+6q^{67}+4q^{65}-5q^{63}-4q^{61}+5q^{59}+5q^{57}-3q^{55}-3q^{53}+3q^{51}+3q^{49}-4q^{47}-3q^{45}+q^{43}+3q^{41}-2q^{37}-5q^{35}+2q^{33}+6q^{31}+q^{29}-8q^{27}-6q^{25}+7q^{23}+7q^{21}-3q^{19}-6q^{17}+q^{15}+5q^{13}+2q^{11}-2q^{9}+q^{5}+2q^{3}}
A2 Invariants.
Weight
Invariant
1,0
q
28
−
2
q
20
−
q
18
−
q
16
+
q
12
+
q
10
+
2
q
8
+
q
6
+
q
2
{\displaystyle q^{28}-2q^{20}-q^{18}-q^{16}+q^{12}+q^{10}+2q^{8}+q^{6}+q^{2}}
1,1
q
76
−
2
q
74
+
4
q
72
−
8
q
70
+
11
q
68
−
14
q
66
+
14
q
64
−
12
q
62
+
8
q
60
−
8
q
56
+
14
q
54
−
19
q
52
+
22
q
50
−
20
q
48
+
20
q
46
−
16
q
44
+
12
q
42
−
6
q
40
+
6
q
36
−
10
q
34
+
12
q
32
−
14
q
30
+
6
q
28
−
8
q
26
−
2
q
24
−
2
q
20
+
2
q
18
+
4
q
16
+
2
q
14
+
6
q
12
+
4
q
8
+
q
4
{\displaystyle q^{76}-2q^{74}+4q^{72}-8q^{70}+11q^{68}-14q^{66}+14q^{64}-12q^{62}+8q^{60}-8q^{56}+14q^{54}-19q^{52}+22q^{50}-20q^{48}+20q^{46}-16q^{44}+12q^{42}-6q^{40}+6q^{36}-10q^{34}+12q^{32}-14q^{30}+6q^{28}-8q^{26}-2q^{24}-2q^{20}+2q^{18}+4q^{16}+2q^{14}+6q^{12}+4q^{8}+q^{4}}
2,0
q
72
−
q
68
−
q
66
+
q
62
−
q
60
−
q
58
+
q
52
+
q
50
+
2
q
48
+
3
q
46
+
q
44
−
2
q
40
−
q
38
−
2
q
36
−
2
q
34
−
2
q
32
−
q
30
−
q
28
−
q
26
−
2
q
22
+
2
q
20
+
2
q
18
+
2
q
16
+
q
14
+
2
q
12
+
3
q
10
+
q
8
+
q
4
{\displaystyle q^{72}-q^{68}-q^{66}+q^{62}-q^{60}-q^{58}+q^{52}+q^{50}+2q^{48}+3q^{46}+q^{44}-2q^{40}-q^{38}-2q^{36}-2q^{34}-2q^{32}-q^{30}-q^{28}-q^{26}-2q^{22}+2q^{20}+2q^{18}+2q^{16}+q^{14}+2q^{12}+3q^{10}+q^{8}+q^{4}}
A3 Invariants.
Weight
Invariant
0,1,0
q
60
−
q
58
−
2
q
52
−
q
48
+
q
46
+
2
q
44
+
3
q
42
+
3
q
40
+
3
q
38
−
3
q
34
−
4
q
32
−
6
q
30
−
4
q
28
−
3
q
26
+
2
q
22
+
2
q
20
+
3
q
18
+
3
q
16
+
q
14
+
2
q
12
+
2
q
10
+
q
8
+
q
4
{\displaystyle q^{60}-q^{58}-2q^{52}-q^{48}+q^{46}+2q^{44}+3q^{42}+3q^{40}+3q^{38}-3q^{34}-4q^{32}-6q^{30}-4q^{28}-3q^{26}+2q^{22}+2q^{20}+3q^{18}+3q^{16}+q^{14}+2q^{12}+2q^{10}+q^{8}+q^{4}}
1,0,0
q
37
+
q
33
−
2
q
27
−
2
q
25
−
2
q
23
−
q
21
+
q
17
+
2
q
15
+
q
13
+
2
q
11
+
q
9
+
q
7
+
q
3
{\displaystyle q^{37}+q^{33}-2q^{27}-2q^{25}-2q^{23}-q^{21}+q^{17}+2q^{15}+q^{13}+2q^{11}+q^{9}+q^{7}+q^{3}}
A4 Invariants.
Weight
Invariant
0,1,0,0
q
78
+
q
72
−
q
70
−
3
q
68
−
2
q
66
−
2
q
64
−
4
q
62
−
q
60
+
4
q
58
+
7
q
56
+
6
q
54
+
9
q
52
+
9
q
50
+
2
q
48
−
3
q
46
−
5
q
44
−
11
q
42
−
13
q
40
−
9
q
38
−
7
q
36
−
4
q
34
+
5
q
30
+
5
q
28
+
4
q
26
+
5
q
24
+
5
q
22
+
2
q
20
+
2
q
18
+
2
q
16
+
2
q
14
+
2
q
12
+
q
10
+
q
6
{\displaystyle q^{78}+q^{72}-q^{70}-3q^{68}-2q^{66}-2q^{64}-4q^{62}-q^{60}+4q^{58}+7q^{56}+6q^{54}+9q^{52}+9q^{50}+2q^{48}-3q^{46}-5q^{44}-11q^{42}-13q^{40}-9q^{38}-7q^{36}-4q^{34}+5q^{30}+5q^{28}+4q^{26}+5q^{24}+5q^{22}+2q^{20}+2q^{18}+2q^{16}+2q^{14}+2q^{12}+q^{10}+q^{6}}
1,0,0,0
q
46
+
q
42
+
q
40
−
2
q
34
−
2
q
32
−
3
q
30
−
2
q
28
−
q
26
+
q
22
+
2
q
20
+
2
q
18
+
q
16
+
2
q
14
+
q
12
+
q
10
+
q
8
+
q
4
{\displaystyle q^{46}+q^{42}+q^{40}-2q^{34}-2q^{32}-3q^{30}-2q^{28}-q^{26}+q^{22}+2q^{20}+2q^{18}+q^{16}+2q^{14}+q^{12}+q^{10}+q^{8}+q^{4}}
B2 Invariants.
Weight
Invariant
0,1
q
60
−
q
58
+
2
q
56
−
2
q
54
+
2
q
52
−
2
q
50
+
q
48
−
q
46
+
q
42
−
3
q
40
+
3
q
38
−
4
q
36
+
3
q
34
−
4
q
32
+
2
q
30
−
2
q
28
+
q
26
+
2
q
20
−
q
18
+
3
q
16
−
q
14
+
2
q
12
+
q
8
+
q
4
{\displaystyle q^{60}-q^{58}+2q^{56}-2q^{54}+2q^{52}-2q^{50}+q^{48}-q^{46}+q^{42}-3q^{40}+3q^{38}-4q^{36}+3q^{34}-4q^{32}+2q^{30}-2q^{28}+q^{26}+2q^{20}-q^{18}+3q^{16}-q^{14}+2q^{12}+q^{8}+q^{4}}
1,0
q
98
−
q
94
−
q
92
+
q
90
+
q
88
−
2
q
86
−
2
q
84
+
q
82
+
2
q
80
−
q
78
−
2
q
76
+
3
q
72
+
2
q
70
+
2
q
64
+
2
q
62
+
q
60
−
q
58
−
q
56
−
q
52
−
4
q
50
−
3
q
48
−
q
46
−
2
q
42
−
3
q
40
+
2
q
36
+
q
34
−
q
32
+
q
30
+
2
q
28
+
3
q
26
+
q
20
+
2
q
18
+
q
16
+
q
14
+
q
6
{\displaystyle q^{98}-q^{94}-q^{92}+q^{90}+q^{88}-2q^{86}-2q^{84}+q^{82}+2q^{80}-q^{78}-2q^{76}+3q^{72}+2q^{70}+2q^{64}+2q^{62}+q^{60}-q^{58}-q^{56}-q^{52}-4q^{50}-3q^{48}-q^{46}-2q^{42}-3q^{40}+2q^{36}+q^{34}-q^{32}+q^{30}+2q^{28}+3q^{26}+q^{20}+2q^{18}+q^{16}+q^{14}+q^{6}}
G2 Invariants.
Weight
Invariant
1,0
q
142
−
q
140
+
2
q
138
−
3
q
136
+
q
134
−
q
132
−
3
q
130
+
6
q
128
−
6
q
126
+
4
q
124
−
q
122
−
2
q
120
+
5
q
118
−
4
q
116
+
2
q
114
+
3
q
112
−
3
q
110
+
4
q
108
+
q
106
−
3
q
104
+
8
q
102
−
6
q
100
+
3
q
98
+
q
96
−
4
q
94
+
5
q
92
−
6
q
90
+
3
q
88
−
4
q
86
−
q
82
−
5
q
80
+
q
78
−
4
q
76
−
3
q
70
+
q
66
−
4
q
64
+
6
q
62
−
5
q
60
+
2
q
58
+
4
q
56
−
5
q
54
+
7
q
52
−
2
q
50
+
q
48
+
3
q
46
−
2
q
44
+
q
42
+
2
q
40
+
2
q
36
+
q
34
−
q
32
+
2
q
30
−
q
28
+
q
26
+
q
24
−
q
22
+
2
q
20
+
q
14
+
q
10
{\displaystyle q^{142}-q^{140}+2q^{138}-3q^{136}+q^{134}-q^{132}-3q^{130}+6q^{128}-6q^{126}+4q^{124}-q^{122}-2q^{120}+5q^{118}-4q^{116}+2q^{114}+3q^{112}-3q^{110}+4q^{108}+q^{106}-3q^{104}+8q^{102}-6q^{100}+3q^{98}+q^{96}-4q^{94}+5q^{92}-6q^{90}+3q^{88}-4q^{86}-q^{82}-5q^{80}+q^{78}-4q^{76}-3q^{70}+q^{66}-4q^{64}+6q^{62}-5q^{60}+2q^{58}+4q^{56}-5q^{54}+7q^{52}-2q^{50}+q^{48}+3q^{46}-2q^{44}+q^{42}+2q^{40}+2q^{36}+q^{34}-q^{32}+2q^{30}-q^{28}+q^{26}+q^{24}-q^{22}+2q^{20}+q^{14}+q^{10}}
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