K12a537
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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^9-4 q^8+8 q^7-14 q^6+21 q^5-26 q^4+28 q^3-26 q^2+22 q-15+9 q^{-1} -4 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^3-15 t^2+43 t-59+43 t^{-1} -15 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^6-3 z^4+z^2+1} |
| Determinant | 179 |
| 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^{-4} -2 z^4 a^{-6} -2 z^4+a^2 z^2-z^2 a^{-2} +3 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} -z^2- a^{-2} +2 a^{-4} - a^{-6} +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 z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +8 z^{10} a^{-4} +4 z^{10} a^{-6} +7 z^9 a^{-1} +14 z^9 a^{-3} +14 z^9 a^{-5} +7 z^9 a^{-7} +5 z^8 a^{-2} -5 z^8 a^{-4} +4 z^8 a^{-6} +7 z^8 a^{-8} +7 z^8+4 a z^7-10 z^7 a^{-1} -36 z^7 a^{-3} -39 z^7 a^{-5} -13 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-25 z^6 a^{-2} -18 z^6 a^{-4} -28 z^6 a^{-6} -18 z^6 a^{-8} +z^6 a^{-10} -15 z^6-9 a z^5+z^5 a^{-1} +38 z^5 a^{-3} +43 z^5 a^{-5} +5 z^5 a^{-7} -10 z^5 a^{-9} -2 a^2 z^4+24 z^4 a^{-2} +31 z^4 a^{-4} +34 z^4 a^{-6} +14 z^4 a^{-8} -2 z^4 a^{-10} +9 z^4+5 a z^3-2 z^3 a^{-1} -22 z^3 a^{-3} -19 z^3 a^{-5} +z^3 a^{-7} +5 z^3 a^{-9} +a^2 z^2-11 z^2 a^{-2} -15 z^2 a^{-4} -12 z^2 a^{-6} -4 z^2 a^{-8} -3 z^2+2 z a^{-1} +5 z a^{-3} +3 z a^{-5} + a^{-2} +2 a^{-4} + a^{-6} +1} |
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