K13n1165
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Polynomial invariants
| Jones polynomial | Data:K13n1165/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-10 t^2+4 t+1+4 t^{-1} -10 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1165/Conway Polynomial |
| Determinant | 47 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -6 z^4 a^{-6} -6 z^4 a^{-8} +5 z^4 a^{-10} +6 z^2 a^{-4} -2 z^2 a^{-6} -3 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} -z^9 a^{-7} +3 z^9 a^{-11} +z^8 a^{-4} -9 z^8 a^{-6} -27 z^8 a^{-8} -16 z^8 a^{-10} +z^8 a^{-12} -11 z^7 a^{-5} -16 z^7 a^{-7} -22 z^7 a^{-9} -17 z^7 a^{-11} -6 z^6 a^{-4} +7 z^6 a^{-6} +42 z^6 a^{-8} +24 z^6 a^{-10} -5 z^6 a^{-12} +17 z^5 a^{-5} +35 z^5 a^{-7} +46 z^5 a^{-9} +28 z^5 a^{-11} +11 z^4 a^{-4} +4 z^4 a^{-6} -26 z^4 a^{-8} -13 z^4 a^{-10} +6 z^4 a^{-12} -9 z^3 a^{-5} -26 z^3 a^{-7} -32 z^3 a^{-9} -15 z^3 a^{-11} -8 z^2 a^{-4} -4 z^2 a^{-6} +7 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +z a^{-5} +7 z a^{-7} +7 z a^{-9} +z a^{-11} +2 a^{-4} - a^{-8} }[/math] |
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