0 1 Quantum Invariants

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Further quantum knot invariants for 0_1.

A1 Invariants.

Weight Invariant
1 [math]\displaystyle{ q+ q^{-1} }[/math]
2 [math]\displaystyle{ q^2+1+ q^{-2} }[/math]
3 [math]\displaystyle{ q^3+q+ q^{-1} + q^{-3} }[/math]
4 [math]\displaystyle{ q^4+q^2+1+ q^{-2} + q^{-4} }[/math]
5 [math]\displaystyle{ q^5+q^3+q+ q^{-1} + q^{-3} + q^{-5} }[/math]
1 [math]\displaystyle{ q+ q^{-1} }[/math]
2 [math]\displaystyle{ q^2+1+ q^{-2} }[/math]
3 [math]\displaystyle{ q^3+q+ q^{-1} + q^{-3} }[/math]

A2 Invariants.

Weight Invariant
1,1 [math]\displaystyle{ q^4+2 q^2+2+2 q^{-2} + q^{-4} }[/math]
2,0 [math]\displaystyle{ q^4+q^2+2+ q^{-2} + q^{-4} }[/math]
3,0 [math]\displaystyle{ q^6+q^4+2 q^2+2+2 q^{-2} + q^{-4} + q^{-6} }[/math]
1,0 Data:0 1/QuantumInvariant/A2/1,0
2,0 [math]\displaystyle{ q^4+q^2+2+ q^{-2} + q^{-4} }[/math]

A3 Invariants.

Weight Invariant
0,1,0 [math]\displaystyle{ q^4+q^2+2+ q^{-2} + q^{-4} }[/math]
1,0,0 [math]\displaystyle{ q^3+q+ q^{-1} + q^{-3} }[/math]
1,0,1 [math]\displaystyle{ q^6+2 q^4+3 q^2+3+3 q^{-2} +2 q^{-4} + q^{-6} }[/math]

A4 Invariants.

Weight Invariant
0,1,0,0 [math]\displaystyle{ q^6+q^4+2 q^2+2+2 q^{-2} + q^{-4} + q^{-6} }[/math]
1,0,0,0 [math]\displaystyle{ q^4+q^2+1+ q^{-2} + q^{-4} }[/math]

B2 Invariants.

Weight Invariant
0,1 [math]\displaystyle{ q^4+q^2+ q^{-2} + q^{-4} }[/math]
1,0 [math]\displaystyle{ q^6+q^2+1+ q^{-2} + q^{-6} }[/math]

D4 Invariants.

Weight Invariant
0,1,0,0 [math]\displaystyle{ q^{10}+q^8+3 q^6+3 q^4+4 q^2+4+4 q^{-2} +3 q^{-4} +3 q^{-6} + q^{-8} + q^{-10} }[/math]
1,0,0,0 [math]\displaystyle{ q^6+q^4+q^2+2+ q^{-2} + q^{-4} + q^{-6} }[/math]

G2 Invariants.

Weight Invariant
0,1 [math]\displaystyle{ q^{18}+q^{12}+q^{10}+q^8+q^6+q^2+2+ q^{-2} + q^{-6} + q^{-8} + q^{-10} + q^{-12} + q^{-18} }[/math]
1,0 [math]\displaystyle{ q^{10}+q^8+q^2+1+ q^{-2} + q^{-8} + q^{-10} }[/math]