K13n188
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Polynomial invariants
| Jones polynomial | Data:K13n188/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-7 t^2+4 t-3+4 t^{-1} -7 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n188/Conway Polynomial |
| Determinant | 43 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -5 z^4 a^{-6} -11 z^4 a^{-8} +6 z^4 a^{-10} +6 z^2 a^{-4} +2 z^2 a^{-6} -9 z^2 a^{-8} +9 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +2 a^{-6} -4 a^{-8} +4 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^{10} a^{-10} +2 z^9 a^{-5} -3 z^9 a^{-7} -4 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -10 z^8 a^{-6} -24 z^8 a^{-8} -13 z^8 a^{-10} -11 z^7 a^{-5} -4 z^7 a^{-7} +2 z^7 a^{-9} -5 z^7 a^{-11} -6 z^6 a^{-4} +13 z^6 a^{-6} +49 z^6 a^{-8} +32 z^6 a^{-10} +2 z^6 a^{-12} +17 z^5 a^{-5} +13 z^5 a^{-7} +4 z^5 a^{-9} +9 z^5 a^{-11} +z^5 a^{-13} +11 z^4 a^{-4} -7 z^4 a^{-6} -49 z^4 a^{-8} -39 z^4 a^{-10} -7 z^4 a^{-12} +z^4 a^{-14} -8 z^3 a^{-5} -9 z^3 a^{-7} -6 z^3 a^{-9} -7 z^3 a^{-11} -z^3 a^{-13} +z^3 a^{-15} -7 z^2 a^{-4} +6 z^2 a^{-6} +23 z^2 a^{-8} +20 z^2 a^{-10} +9 z^2 a^{-12} -z^2 a^{-14} +z a^{-5} +3 z a^{-7} +z a^{-9} +2 z a^{-11} +z a^{-13} -2 z a^{-15} + a^{-4} -2 a^{-6} -4 a^{-8} -4 a^{-10} -2 a^{-12} }[/math] |
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