K12n4
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+7 q^4-10 q^3+13 q^2-13 q+13-10 q^{-1} +6 q^{-2} -3 q^{-3} + q^{-4} }[/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^4-3 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +6 z^2+a^4-3 a^2- a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+6 z^9 a^{-1} +4 z^9 a^{-3} +a^2 z^8+7 z^8 a^{-2} +6 z^8 a^{-4} +2 z^8-7 a z^7-18 z^7 a^{-1} -7 z^7 a^{-3} +4 z^7 a^{-5} -2 a^2 z^6-31 z^6 a^{-2} -18 z^6 a^{-4} +z^6 a^{-6} -14 z^6+3 a^3 z^5+18 a z^5+21 z^5 a^{-1} -5 z^5 a^{-3} -11 z^5 a^{-5} +a^4 z^4+9 a^2 z^4+38 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +31 z^4-5 a^3 z^3-15 a z^3-8 z^3 a^{-1} +7 z^3 a^{-3} +5 z^3 a^{-5} -2 a^4 z^2-11 a^2 z^2-16 z^2 a^{-2} -4 z^2 a^{-4} -21 z^2+2 a^3 z+4 a z+2 z a^{-1} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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