K13n4087
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Polynomial invariants
| Jones polynomial | Data:K13n4087/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+24 t^2-40 t+47-40 t^{-1} +24 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4087/Conway Polynomial |
| Determinant | 193 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +4 z^6 a^{-4} -3 z^6 a^{-6} -2 z^4 a^{-2} +6 z^4 a^{-4} -10 z^4 a^{-6} +2 z^4 a^{-8} +z^2 a^{-2} +4 z^2 a^{-4} -9 z^2 a^{-6} +4 z^2 a^{-8} +2 a^{-2} -2 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +12 z^{10} a^{-6} +5 z^{10} a^{-8} +9 z^9 a^{-3} +15 z^9 a^{-5} +12 z^9 a^{-7} +6 z^9 a^{-9} +5 z^8 a^{-2} -10 z^8 a^{-4} -15 z^8 a^{-6} +4 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -28 z^7 a^{-3} -53 z^7 a^{-5} -25 z^7 a^{-7} +z^7 a^{-11} -15 z^6 a^{-2} -16 z^6 a^{-4} -19 z^6 a^{-6} -15 z^6 a^{-8} +3 z^6 a^{-10} -2 z^5 a^{-1} +25 z^5 a^{-3} +44 z^5 a^{-5} +5 z^5 a^{-7} -5 z^5 a^{-9} +7 z^5 a^{-11} +11 z^4 a^{-2} +26 z^4 a^{-4} +29 z^4 a^{-6} +8 z^4 a^{-8} -3 z^4 a^{-10} +3 z^4 a^{-12} -6 z^3 a^{-3} -11 z^3 a^{-5} +4 z^3 a^{-7} +3 z^3 a^{-9} -6 z^3 a^{-11} +z^2 a^{-2} -7 z^2 a^{-4} -14 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} -2 z^2 a^{-12} +z a^{-3} -2 z a^{-7} +z a^{-11} -2 a^{-2} +2 a^{-6} + a^{-8} }[/math] |
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