K13n1597
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Polynomial invariants
| Jones polynomial | Data:K13n1597/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+16 t^2-23 t+23-23 t^{-1} +16 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1597/Conway Polynomial |
| Determinant | 109 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -z^4 a^{-4} -6 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +4 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2 a^{-10} +2 a^{-4} -2 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +5 z^9 a^{-5} +3 z^9 a^{-7} -z^9 a^{-9} +z^9 a^{-11} +5 z^8 a^{-4} -4 z^8 a^{-6} -18 z^8 a^{-8} -9 z^8 a^{-10} +3 z^7 a^{-3} -13 z^7 a^{-5} -14 z^7 a^{-7} -2 z^7 a^{-11} +z^6 a^{-2} -14 z^6 a^{-4} -3 z^6 a^{-6} +35 z^6 a^{-8} +26 z^6 a^{-10} +3 z^6 a^{-12} -8 z^5 a^{-3} +12 z^5 a^{-5} +23 z^5 a^{-7} +8 z^5 a^{-9} +6 z^5 a^{-11} +z^5 a^{-13} -3 z^4 a^{-2} +12 z^4 a^{-4} +8 z^4 a^{-6} -30 z^4 a^{-8} -30 z^4 a^{-10} -7 z^4 a^{-12} +4 z^3 a^{-3} -8 z^3 a^{-5} -14 z^3 a^{-7} -7 z^3 a^{-9} -8 z^3 a^{-11} -3 z^3 a^{-13} +2 z^2 a^{-2} -8 z^2 a^{-4} -4 z^2 a^{-6} +15 z^2 a^{-8} +13 z^2 a^{-10} +4 z^2 a^{-12} +z a^{-5} +4 z a^{-7} +2 z a^{-9} +z a^{-11} +2 z a^{-13} +2 a^{-4} -2 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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