K13n2353
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Polynomial invariants
| Jones polynomial | Data:K13n2353/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+15 t^2-26 t+31-26 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2353/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-4} +15 z^4 a^{-6} -8 z^4 a^{-8} +z^4 a^{-10} -2 z^2 a^{-4} +16 z^2 a^{-6} -11 z^2 a^{-8} +2 z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^{10} a^{-10} +z^9 a^{-5} +z^9 a^{-7} +7 z^9 a^{-9} +7 z^9 a^{-11} -8 z^8 a^{-6} -20 z^8 a^{-8} -5 z^8 a^{-10} +7 z^8 a^{-12} -z^7 a^{-5} -8 z^7 a^{-7} -29 z^7 a^{-9} -18 z^7 a^{-11} +4 z^7 a^{-13} +4 z^6 a^{-4} +28 z^6 a^{-6} +39 z^6 a^{-8} -5 z^6 a^{-10} -19 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +6 z^5 a^{-5} +29 z^5 a^{-7} +47 z^5 a^{-9} +13 z^5 a^{-11} -10 z^5 a^{-13} -9 z^4 a^{-4} -40 z^4 a^{-6} -36 z^4 a^{-8} +9 z^4 a^{-10} +12 z^4 a^{-12} -2 z^4 a^{-14} -2 z^3 a^{-3} -11 z^3 a^{-5} -33 z^3 a^{-7} -32 z^3 a^{-9} -4 z^3 a^{-11} +4 z^3 a^{-13} +5 z^2 a^{-4} +23 z^2 a^{-6} +19 z^2 a^{-8} -z^2 a^{-10} -2 z^2 a^{-12} +z a^{-3} +4 z a^{-5} +11 z a^{-7} +9 z a^{-9} +z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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