K13n338
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Polynomial invariants
| Jones polynomial | Data:K13n338/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+5 t^2-2 t-1-2 t^{-1} +5 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n338/Conway Polynomial |
| Determinant | 17 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -4 z^4 a^{-4} -4 z^4 a^{-6} +4 z^2 a^{-2} -4 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} +3 a^{-2} -2 a^{-4} - a^{-6} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^{10} a^{-12} +z^9 a^{-5} -8 z^9 a^{-9} -6 z^9 a^{-11} +z^9 a^{-13} +z^8 a^{-4} +2 z^8 a^{-6} -9 z^8 a^{-8} -25 z^8 a^{-10} -15 z^8 a^{-12} +z^7 a^{-3} -4 z^7 a^{-5} +z^7 a^{-7} +19 z^7 a^{-9} +6 z^7 a^{-11} -7 z^7 a^{-13} +z^6 a^{-2} -2 z^6 a^{-4} -8 z^6 a^{-6} +25 z^6 a^{-8} +66 z^6 a^{-10} +36 z^6 a^{-12} -3 z^5 a^{-3} +7 z^5 a^{-5} -3 z^5 a^{-7} -18 z^5 a^{-9} +10 z^5 a^{-11} +15 z^5 a^{-13} -5 z^4 a^{-2} -3 z^4 a^{-4} +12 z^4 a^{-6} -25 z^4 a^{-8} -69 z^4 a^{-10} -34 z^4 a^{-12} -8 z^3 a^{-5} +5 z^3 a^{-7} +12 z^3 a^{-9} -12 z^3 a^{-11} -11 z^3 a^{-13} +7 z^2 a^{-2} +5 z^2 a^{-4} -8 z^2 a^{-6} +9 z^2 a^{-8} +28 z^2 a^{-10} +13 z^2 a^{-12} +2 z a^{-3} +3 z a^{-5} -3 z a^{-7} -5 z a^{-9} +z a^{-11} +2 z a^{-13} -3 a^{-2} -2 a^{-4} + a^{-6} -2 a^{-10} - a^{-12} }[/math] |
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