K12a1074
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Polynomial invariants
| Jones polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{10}-4 q^9+9 q^8-16 q^7+23 q^6-28 q^5+30 q^4-28 q^3+23 q^2-16 q+10-4 q^{-1} + q^{-2} } |
| Alexander polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle t^4-8 t^3+24 t^2-40 t+47-40 t^{-1} +24 t^{-2} -8 t^{-3} + t^{-4} } |
| Conway polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^8-4 z^4+1} |
| Determinant | 193 |
| Signature | 4 |
| HOMFLY-PT polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^8 a^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -2 z^6 a^{-6} -6 z^4 a^{-2} +6 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +z^4-4 z^2 a^{-2} +4 z^2 a^{-4} -4 z^2 a^{-6} +2 z^2 a^{-8} +2 z^2+1} |
| Kauffman polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +17 z^{10} a^{-4} +11 z^{10} a^{-6} +4 z^9 a^{-1} +5 z^9 a^{-3} +19 z^9 a^{-5} +18 z^9 a^{-7} -20 z^8 a^{-2} -52 z^8 a^{-4} -12 z^8 a^{-6} +19 z^8 a^{-8} +z^8-16 z^7 a^{-1} -53 z^7 a^{-3} -89 z^7 a^{-5} -37 z^7 a^{-7} +15 z^7 a^{-9} +13 z^6 a^{-2} +31 z^6 a^{-4} -29 z^6 a^{-6} -34 z^6 a^{-8} +9 z^6 a^{-10} -4 z^6+21 z^5 a^{-1} +78 z^5 a^{-3} +100 z^5 a^{-5} +20 z^5 a^{-7} -19 z^5 a^{-9} +4 z^5 a^{-11} +9 z^4 a^{-2} +13 z^4 a^{-4} +35 z^4 a^{-6} +18 z^4 a^{-8} -6 z^4 a^{-10} +z^4 a^{-12} +6 z^4-11 z^3 a^{-1} -37 z^3 a^{-3} -42 z^3 a^{-5} -8 z^3 a^{-7} +7 z^3 a^{-9} -z^3 a^{-11} -7 z^2 a^{-2} -8 z^2 a^{-4} -10 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} -4 z^2+2 z a^{-1} +6 z a^{-3} +6 z a^{-5} +2 z a^{-7} +1} |
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