K13n3478
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Polynomial invariants
| Jones polynomial | Data:K13n3478/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-19 t+21-19 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3478/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -2 z^4 a^{-2} +3 z^4 a^{-4} -3 z^4 a^{-6} +2 z^2 a^{-2} -2 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +3 a^{-2} -2 a^{-4} - a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-3} +13 z^9 a^{-5} +6 z^9 a^{-7} +5 z^8 a^{-2} +2 z^8 a^{-4} +3 z^8 a^{-8} +z^7 a^{-1} -22 z^7 a^{-3} -42 z^7 a^{-5} -19 z^7 a^{-7} -16 z^6 a^{-2} -31 z^6 a^{-4} -21 z^6 a^{-6} -6 z^6 a^{-8} -2 z^5 a^{-1} +15 z^5 a^{-3} +38 z^5 a^{-5} +24 z^5 a^{-7} +3 z^5 a^{-9} +12 z^4 a^{-2} +27 z^4 a^{-4} +25 z^4 a^{-6} +10 z^4 a^{-8} +z^3 a^{-1} -3 z^3 a^{-3} -18 z^3 a^{-5} -11 z^3 a^{-7} +3 z^3 a^{-9} +2 z^2 a^{-2} -2 z^2 a^{-4} -11 z^2 a^{-6} -4 z^2 a^{-8} +3 z^2 a^{-10} +3 z a^{-3} +5 z a^{-5} -2 z a^{-9} -3 a^{-2} -2 a^{-4} + a^{-6} + a^{-8} }[/math] |
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