K12n536
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+8 q^4-11 q^3+13 q^2-14 q+13-9 q^{-1} +6 q^{-2} -2 q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-19 t+27-19 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^4+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +z^4 a^{-4} +3 z^4-2 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +6 z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +6 z^8 a^{-2} +6 z^8 a^{-4} -2 a z^7-11 z^7 a^{-1} -5 z^7 a^{-3} +4 z^7 a^{-5} +a^2 z^6-21 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} -4 z^6+6 a z^5+7 z^5 a^{-1} -9 z^5 a^{-3} -10 z^5 a^{-5} +5 a^2 z^4+19 z^4 a^{-2} +6 z^4 a^{-4} -2 z^4 a^{-6} +16 z^4+2 a^3 z^3+a z^3+3 z^3 a^{-1} +9 z^3 a^{-3} +5 z^3 a^{-5} -6 a^2 z^2-10 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} -14 z^2-a^3 z-2 a z-2 z a^{-1} -2 z a^{-3} -z a^{-5} +a^2+3 a^{-2} + a^{-4} +4 }[/math] |
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