K13n3965
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Polynomial invariants
| Jones polynomial | Data:K13n3965/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+8 t^2-4 t+1-4 t^{-1} +8 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3965/Conway Polynomial |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +6 z^4 a^{-4} -5 z^4 a^{-6} +z^2 a^{-2} +z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +3 a^{-2} -2 a^{-4} - a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +4 z^9 a^{-3} +5 z^9 a^{-5} +z^9 a^{-7} +4 z^8 a^{-2} +2 z^8 a^{-4} -2 z^8 a^{-6} +z^7 a^{-1} -17 z^7 a^{-3} -25 z^7 a^{-5} -6 z^7 a^{-7} +z^7 a^{-9} -17 z^6 a^{-2} -25 z^6 a^{-4} -11 z^6 a^{-6} -2 z^6 a^{-8} +z^6 a^{-10} -3 z^5 a^{-1} +17 z^5 a^{-3} +35 z^5 a^{-5} +8 z^5 a^{-7} -7 z^5 a^{-9} +16 z^4 a^{-2} +32 z^4 a^{-4} +25 z^4 a^{-6} +4 z^4 a^{-8} -5 z^4 a^{-10} +z^3 a^{-1} -7 z^3 a^{-3} -20 z^3 a^{-5} -3 z^3 a^{-7} +9 z^3 a^{-9} -7 z^2 a^{-4} -14 z^2 a^{-6} -3 z^2 a^{-8} +4 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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