K13n3890
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Polynomial invariants
| Jones polynomial | Data:K13n3890/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-31 t+35-31 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3890/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -2 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -6 z^4 a^{-4} +5 z^4 a^{-6} -2 z^4 a^{-8} +3 z^2 a^{-2} -4 z^2 a^{-4} +2 z^2 a^{-6} +z^2 a^{-8} +2 a^{-2} - a^{-4} - a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +6 z^{10} a^{-6} +5 z^{10} a^{-8} +11 z^9 a^{-7} +11 z^9 a^{-9} -2 z^8 a^{-4} -12 z^8 a^{-6} +3 z^8 a^{-8} +13 z^8 a^{-10} +3 z^7 a^{-3} +2 z^7 a^{-5} -28 z^7 a^{-7} -18 z^7 a^{-9} +9 z^7 a^{-11} +z^6 a^{-2} +9 z^6 a^{-4} +14 z^6 a^{-6} -23 z^6 a^{-8} -25 z^6 a^{-10} +4 z^6 a^{-12} -7 z^5 a^{-3} -2 z^5 a^{-5} +28 z^5 a^{-7} +9 z^5 a^{-9} -13 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -17 z^4 a^{-4} -9 z^4 a^{-6} +28 z^4 a^{-8} +20 z^4 a^{-10} -4 z^4 a^{-12} +3 z^3 a^{-3} -6 z^3 a^{-5} -14 z^3 a^{-7} +2 z^3 a^{-9} +6 z^3 a^{-11} -z^3 a^{-13} +5 z^2 a^{-2} +8 z^2 a^{-4} -2 z^2 a^{-6} -13 z^2 a^{-8} -8 z^2 a^{-10} +z a^{-3} +3 z a^{-5} +3 z a^{-7} -z a^{-9} -2 z a^{-11} -2 a^{-2} - a^{-4} + a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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