K12n884
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-6 q^5+10 q^4-12 q^3+13 q^2-13 q+11-7 q^{-1} +4 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-20 t+31-20 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 5 z^4+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 3 z^4 a^{-2} +z^4 a^{-4} +z^4-a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -2 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^9 a^{-1} +8 z^9 a^{-3} +4 z^9 a^{-5} -2 z^8 a^{-2} -2 z^8 a^{-4} +3 z^8 a^{-6} +3 z^8+a z^7-11 z^7 a^{-1} -28 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} -z^6 a^{-2} -9 z^6 a^{-4} -12 z^6 a^{-6} -4 z^6+3 a z^5+15 z^5 a^{-1} +33 z^5 a^{-3} +17 z^5 a^{-5} -4 z^5 a^{-7} +4 a^2 z^4-8 z^4 a^{-2} +8 z^4 a^{-4} +14 z^4 a^{-6} +2 z^4+a^3 z^3-2 a z^3-12 z^3 a^{-1} -23 z^3 a^{-3} -10 z^3 a^{-5} +4 z^3 a^{-7} -2 a^2 z^2+10 z^2 a^{-2} -z^2 a^{-4} -5 z^2 a^{-6} +4 z^2+a z+5 z a^{-1} +7 z a^{-3} +3 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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