K13n3180
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Polynomial invariants
| Jones polynomial | Data:K13n3180/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+14 t-19+14 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3180/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -2 z^4 a^{-4} +4 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} -4 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} +2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^{10} a^{-8} -3 z^9 a^{-5} +2 z^9 a^{-7} +5 z^9 a^{-9} -6 z^8 a^{-4} -27 z^8 a^{-6} -18 z^8 a^{-8} +3 z^8 a^{-10} -5 z^7 a^{-5} -29 z^7 a^{-7} -23 z^7 a^{-9} +z^7 a^{-11} +13 z^6 a^{-4} +48 z^6 a^{-6} +23 z^6 a^{-8} -12 z^6 a^{-10} +22 z^5 a^{-5} +56 z^5 a^{-7} +30 z^5 a^{-9} -4 z^5 a^{-11} -z^4 a^{-2} -14 z^4 a^{-4} -39 z^4 a^{-6} -16 z^4 a^{-8} +10 z^4 a^{-10} -19 z^3 a^{-5} -41 z^3 a^{-7} -19 z^3 a^{-9} +3 z^3 a^{-11} +3 z^2 a^{-2} +11 z^2 a^{-4} +18 z^2 a^{-6} +8 z^2 a^{-8} -2 z^2 a^{-10} +z a^{-3} +5 z a^{-5} +10 z a^{-7} +6 z a^{-9} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math] |
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