K12n235
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+q^2-q+2- q^{-1} +2 q^{-2} - q^{-3} + q^{-4} - q^{-5} + q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+2 t^2-t+1- t^{-1} +2 t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+6 z^6+10 z^4+5 z^2+1 }[/math] |
| Determinant | 13 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+8 a^2 z^6-z^6-6 a^4 z^4+22 a^2 z^4-6 z^4-10 a^4 z^2+25 a^2 z^2-10 z^2-5 a^4+10 a^2-4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+2 a z^9+z^9 a^{-1} -8 a^2 z^8-8 z^8-7 a^3 z^7-15 a z^7-8 z^7 a^{-1} +2 a^4 z^6+24 a^2 z^6+22 z^6+a^5 z^5+17 a^3 z^5+37 a z^5+21 z^5 a^{-1} +a^6 z^4-10 a^4 z^4-37 a^2 z^4-26 z^4+a^7 z^3-3 a^5 z^3-19 a^3 z^3-35 a z^3-20 z^3 a^{-1} +a^8 z^2-2 a^6 z^2+13 a^4 z^2+31 a^2 z^2+15 z^2+a^9 z-a^7 z+a^5 z+9 a^3 z+11 a z+5 z a^{-1} -5 a^4-10 a^2-4 }[/math] |
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