K12a1094
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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^9-3 q^8+7 q^7-12 q^6+17 q^5-22 q^4+23 q^3-21 q^2+18 q-12+7 q^{-1} -3 q^{-2} + q^{-3} } |
| 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 2 t^3-14 t^2+35 t-45+35 t^{-1} -14 t^{-2} +2 t^{-3} } |
| 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 2 z^6-2 z^4-3 z^2+1} |
| Determinant | 147 |
| Signature | 2 |
| 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^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -2 z^4+a^2 z^2+z^2 a^{-2} -3 z^2 a^{-6} +z^2 a^{-8} -3 z^2+a^2+2 a^{-2} - a^{-4} - a^{-6} + a^{-8} -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} +10 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^9 a^{-1} +z^9 a^{-3} +5 z^9 a^{-5} +8 z^9 a^{-7} -8 z^8 a^{-2} -35 z^8 a^{-4} -17 z^8 a^{-6} +6 z^8 a^{-8} +4 z^8+3 a z^7-3 z^7 a^{-1} -11 z^7 a^{-3} -37 z^7 a^{-5} -29 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6+14 z^6 a^{-2} +53 z^6 a^{-4} +12 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} -6 z^6-8 a z^5-8 z^5 a^{-1} +22 z^5 a^{-3} +69 z^5 a^{-5} +39 z^5 a^{-7} -8 z^5 a^{-9} -3 a^2 z^4-20 z^4 a^{-2} -28 z^4 a^{-4} +11 z^4 a^{-6} +17 z^4 a^{-8} -3 z^4 a^{-10} -4 z^4+6 a z^3+5 z^3 a^{-1} -17 z^3 a^{-3} -42 z^3 a^{-5} -24 z^3 a^{-7} +2 z^3 a^{-9} +3 a^2 z^2+8 z^2 a^{-2} +5 z^2 a^{-4} -9 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} +6 z^2-a z-z a^{-1} +4 z a^{-3} +10 z a^{-5} +6 z a^{-7} -a^2-2 a^{-2} - a^{-4} + a^{-6} + a^{-8} -1} |
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