K13n200
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Polynomial invariants
| Jones polynomial | Data:K13n200/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-12 t+9-12 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n200/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -3 z^4 a^{-4} -2 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} -4 z^2 a^{-8} +4 z^2 a^{-10} + a^{-2} - a^{-4} +3 a^{-6} -3 a^{-8} +2 a^{-10} - 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} +2 z^8 a^{-4} -9 z^8 a^{-6} -24 z^8 a^{-8} -13 z^8 a^{-10} +2 z^7 a^{-3} -6 z^7 a^{-5} -z^7 a^{-7} +2 z^7 a^{-9} -5 z^7 a^{-11} +z^6 a^{-2} -5 z^6 a^{-4} +17 z^6 a^{-6} +54 z^6 a^{-8} +33 z^6 a^{-10} +2 z^6 a^{-12} -7 z^5 a^{-3} +4 z^5 a^{-5} +13 z^5 a^{-7} +12 z^5 a^{-9} +11 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -z^4 a^{-4} -18 z^4 a^{-6} -49 z^4 a^{-8} -35 z^4 a^{-10} -7 z^4 a^{-12} +5 z^3 a^{-3} -z^3 a^{-5} -10 z^3 a^{-7} -12 z^3 a^{-9} -12 z^3 a^{-11} -4 z^3 a^{-13} +4 z^2 a^{-2} +3 z^2 a^{-4} +12 z^2 a^{-6} +22 z^2 a^{-8} +14 z^2 a^{-10} +5 z^2 a^{-12} -z a^{-3} -z a^{-5} +3 z a^{-7} +3 z a^{-9} +3 z a^{-11} +3 z a^{-13} - a^{-2} - a^{-4} -3 a^{-6} -3 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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