K12n336
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-2 q+3-3 q^{-1} +3 q^{-2} - q^{-3} + q^{-5} -2 q^{-6} +2 q^{-7} -2 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2-1+2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-4 z^4-z^2+1 }[/math] |
| Determinant | 5 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-z^4 a^6-3 z^2 a^6-3 a^6+z^4 a^4+5 z^2 a^4+4 a^4-z^6 a^2-5 z^4 a^2-7 z^2 a^2-3 a^2+z^4+3 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-4 z^4 a^{10}+3 z^2 a^{10}+2 z^7 a^9-9 z^5 a^9+9 z^3 a^9-2 z a^9+z^8 a^8-4 z^6 a^8+2 z^4 a^8-z^2 a^8+a^8+z^7 a^7-6 z^5 a^7+5 z^3 a^7-2 z a^7+z^8 a^6-8 z^6 a^6+13 z^4 a^6-10 z^2 a^6+3 a^6+2 z^9 a^5-14 z^7 a^5+25 z^5 a^5-16 z^3 a^5+3 z a^5+z^{10} a^4-4 z^8 a^4-5 z^6 a^4+21 z^4 a^4-15 z^2 a^4+4 a^4+4 z^9 a^3-25 z^7 a^3+43 z^5 a^3-25 z^3 a^3+5 z a^3+z^{10} a^2-3 z^8 a^2-8 z^6 a^2+25 z^4 a^2-17 z^2 a^2+3 a^2+2 z^9 a-12 z^7 a+21 z^5 a-13 z^3 a+2 z a+z^8-6 z^6+11 z^4-8 z^2+2 }[/math] |
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