K12n480
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+8 q^4-10 q^3+13 q^2-14 q+12-10 q^{-1} +6 q^{-2} -2 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-19 t+29-19 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +z^4 a^{-4} +2 z^4-2 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +z^2+a^4+ a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +5 z^8 a^{-2} +6 z^8 a^{-4} -z^8-a z^7-12 z^7 a^{-1} -7 z^7 a^{-3} +4 z^7 a^{-5} +4 a^2 z^6-16 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} +5 z^6+2 a^3 z^5+4 a z^5+11 z^5 a^{-1} -z^5 a^{-3} -10 z^5 a^{-5} +a^4 z^4-5 a^2 z^4+8 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} -8 z^4-2 a^3 z^3+2 a z^3+4 z^3 a^{-5} -2 a^4 z^2+3 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +9 z^2-4 a z-4 z a^{-1} +a^4+ a^{-4} -1 }[/math] |
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