K12a1045
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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^8-15 q^7+20 q^6-24 q^5+25 q^4-22 q^3+18 q^2-12 q+7-3 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+22 t^2-32 t+35-32 t^{-1} +22 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^8-6 z^4+1} |
| Determinant | 161 |
| 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} -7 z^4 a^{-2} +5 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +z^4-5 z^2 a^{-2} +3 z^2 a^{-4} -3 z^2 a^{-6} +2 z^2 a^{-8} +3 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 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +11 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^9 a^{-1} +2 z^9 a^{-3} +11 z^9 a^{-5} +12 z^9 a^{-7} -15 z^8 a^{-2} -36 z^8 a^{-4} -5 z^8 a^{-6} +15 z^8 a^{-8} +z^8-14 z^7 a^{-1} -32 z^7 a^{-3} -49 z^7 a^{-5} -17 z^7 a^{-7} +14 z^7 a^{-9} +13 z^6 a^{-2} +31 z^6 a^{-4} -19 z^6 a^{-6} -23 z^6 a^{-8} +9 z^6 a^{-10} -5 z^6+21 z^5 a^{-1} +51 z^5 a^{-3} +50 z^5 a^{-5} -3 z^5 a^{-7} -19 z^5 a^{-9} +4 z^5 a^{-11} +3 z^4 a^{-2} -7 z^4 a^{-4} +14 z^4 a^{-6} +8 z^4 a^{-8} -7 z^4 a^{-10} +z^4 a^{-12} +8 z^4-12 z^3 a^{-1} -26 z^3 a^{-3} -20 z^3 a^{-5} +4 z^3 a^{-7} +9 z^3 a^{-9} -z^3 a^{-11} -4 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} -z^2 a^{-8} +2 z^2 a^{-10} -5 z^2+2 z a^{-1} +5 z a^{-3} +3 z a^{-5} -z a^{-7} -z a^{-9} +1} |
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