K13n2566
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Polynomial invariants
| Jones polynomial | Data:K13n2566/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+4 t^2-t-1- t^{-1} +4 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2566/Conway Polynomial |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -5 z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +z^4-6 z^2 a^{-2} -6 z^2 a^{-4} +5 z^2 a^{-6} +4 z^2-2 a^{-2} -3 a^{-4} +4 a^{-6} - a^{-8} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} -8 z^9 a^{-3} -9 z^9 a^{-5} -6 z^8 a^{-2} -16 z^8 a^{-4} -9 z^8 a^{-6} +z^8-6 z^7 a^{-1} +24 z^7 a^{-3} +30 z^7 a^{-5} +9 z^6 a^{-2} +45 z^6 a^{-4} +29 z^6 a^{-6} -7 z^6+9 z^5 a^{-1} -37 z^5 a^{-3} -47 z^5 a^{-5} -z^5 a^{-7} -56 z^4 a^{-4} -42 z^4 a^{-6} -z^4 a^{-8} +15 z^4-z^3 a^{-1} +29 z^3 a^{-3} +33 z^3 a^{-5} +3 z^3 a^{-7} -6 z^2 a^{-2} +27 z^2 a^{-4} +25 z^2 a^{-6} +3 z^2 a^{-8} -11 z^2-2 z a^{-1} -9 z a^{-3} -9 z a^{-5} -2 z a^{-7} +2 a^{-2} -3 a^{-4} -4 a^{-6} - a^{-8} +3 }[/math] |
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