K13n1981
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Polynomial invariants
| Jones polynomial | Data:K13n1981/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-37 t+45-37 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1981/Conway Polynomial |
| Determinant | 173 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +5 z^6 a^{-6} -2 z^6 a^{-8} -2 z^4 a^{-4} +11 z^4 a^{-6} -6 z^4 a^{-8} +z^4 a^{-10} +10 z^2 a^{-6} -6 z^2 a^{-8} +z^2 a^{-10} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +7 z^{10} a^{-8} +5 z^{10} a^{-10} +z^9 a^{-5} +6 z^9 a^{-7} +15 z^9 a^{-9} +10 z^9 a^{-11} -3 z^8 a^{-8} +7 z^8 a^{-10} +10 z^8 a^{-12} +4 z^7 a^{-5} -7 z^7 a^{-7} -31 z^7 a^{-9} -15 z^7 a^{-11} +5 z^7 a^{-13} +5 z^6 a^{-4} +8 z^6 a^{-6} -10 z^6 a^{-8} -35 z^6 a^{-10} -21 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} -4 z^5 a^{-5} +3 z^5 a^{-7} +13 z^5 a^{-9} -4 z^5 a^{-11} -9 z^5 a^{-13} -7 z^4 a^{-4} -15 z^4 a^{-6} +8 z^4 a^{-8} +27 z^4 a^{-10} +10 z^4 a^{-12} -z^4 a^{-14} -z^3 a^{-3} +5 z^3 a^{-9} +9 z^3 a^{-11} +3 z^3 a^{-13} +z^2 a^{-4} +9 z^2 a^{-6} +3 z^2 a^{-8} -6 z^2 a^{-10} -z^2 a^{-12} -z a^{-5} -2 z a^{-9} -3 z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
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