K12a1085
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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+8 q^7-15 q^6+22 q^5-28 q^4+30 q^3-28 q^2+23 q-16+9 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^3-17 t^2+45 t-59+45 t^{-1} -17 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^6-5 z^4-5 z^2+1} |
| Determinant | 187 |
| 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} -2 z^4 a^{-6} -2 z^4+a^2 z^2-4 z^2 a^{-2} -2 z^2 a^{-6} +z^2 a^{-8} -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} +5 z^{10} a^{-2} +11 z^{10} a^{-4} +6 z^{10} a^{-6} +7 z^9 a^{-1} +9 z^9 a^{-3} +10 z^9 a^{-5} +8 z^9 a^{-7} +z^8 a^{-2} -19 z^8 a^{-4} -8 z^8 a^{-6} +6 z^8 a^{-8} +6 z^8+3 a z^7-10 z^7 a^{-1} -21 z^7 a^{-3} -32 z^7 a^{-5} -21 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6-18 z^6 a^{-2} +10 z^6 a^{-4} -z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} -12 z^6-6 a z^5+3 z^5 a^{-1} +12 z^5 a^{-3} +37 z^5 a^{-5} +27 z^5 a^{-7} -7 z^5 a^{-9} -3 a^2 z^4+20 z^4 a^{-2} +3 z^4 a^{-4} +12 z^4 a^{-6} +14 z^4 a^{-8} -3 z^4 a^{-10} +9 z^4+3 a z^3-3 z^3 a^{-1} -16 z^3 a^{-5} -19 z^3 a^{-7} +3 z^3 a^{-9} +3 a^2 z^2-12 z^2 a^{-2} -2 z^2 a^{-4} -8 z^2 a^{-6} -8 z^2 a^{-8} +2 z^2 a^{-10} -5 z^2-z a^{-3} +3 z a^{-5} +4 z a^{-7} -a^2+2 a^{-2} + a^{-4} + a^{-6} + a^{-8} +1} |
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