K13n4269
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Polynomial invariants
| Jones polynomial | Data:K13n4269/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+14 t-23+14 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n4269/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +3 z^2 a^{-4} +2 z^2 a^{-10} +2 a^{-4} - a^{-6} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^{10} a^{-12} +2 z^9 a^{-7} -2 z^9 a^{-9} -3 z^9 a^{-11} +z^9 a^{-13} +2 z^8 a^{-6} -6 z^8 a^{-8} -21 z^8 a^{-10} -13 z^8 a^{-12} +z^7 a^{-5} -4 z^7 a^{-7} -4 z^7 a^{-9} -6 z^7 a^{-11} -7 z^7 a^{-13} -5 z^6 a^{-6} -z^6 a^{-8} +32 z^6 a^{-10} +28 z^6 a^{-12} -6 z^5 a^{-7} +23 z^5 a^{-11} +17 z^5 a^{-13} +4 z^4 a^{-4} +3 z^4 a^{-6} +6 z^4 a^{-8} -16 z^4 a^{-10} -23 z^4 a^{-12} +2 z^3 a^{-3} -2 z^3 a^{-5} +8 z^3 a^{-7} +13 z^3 a^{-9} -15 z^3 a^{-11} -16 z^3 a^{-13} +z^2 a^{-2} -5 z^2 a^{-4} -5 z^2 a^{-6} -z^2 a^{-8} +5 z^2 a^{-10} +7 z^2 a^{-12} -z a^{-5} -3 z a^{-7} -5 z a^{-9} +z a^{-11} +4 z a^{-13} +2 a^{-4} + a^{-6} - a^{-10} - a^{-12} }[/math] |
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