K12a8
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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^6-3 q^5+7 q^4-14 q^3+21 q^2-26 q+29-27 q^{-1} +23 q^{-2} -16 q^{-3} +9 q^{-4} -4 q^{-5} + q^{-6} } |
| 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^4-7 t^3+21 t^2-38 t+47-38 t^{-1} +21 t^{-2} -7 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+z^6-z^4-z^2+1} |
| Determinant | 181 |
| Signature | 0 |
| 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^8-2 a^2 z^6-2 z^6 a^{-2} +5 z^6+a^4 z^4-7 a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} +12 z^4+2 a^4 z^2-9 a^2 z^2-12 z^2 a^{-2} +3 z^2 a^{-4} +15 z^2+a^4-4 a^2-6 a^{-2} +2 a^{-4} +8} |
| 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 a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+7 a^3 z^9+15 a z^9+14 z^9 a^{-1} +6 z^9 a^{-3} +7 a^4 z^8+8 a^2 z^8+2 z^8 a^{-2} +5 z^8 a^{-4} -2 z^8+4 a^5 z^7-7 a^3 z^7-35 a z^7-38 z^7 a^{-1} -11 z^7 a^{-3} +3 z^7 a^{-5} +a^6 z^6-14 a^4 z^6-34 a^2 z^6-22 z^6 a^{-2} -11 z^6 a^{-4} +z^6 a^{-6} -29 z^6-9 a^5 z^5-8 a^3 z^5+27 a z^5+40 z^5 a^{-1} +6 z^5 a^{-3} -8 z^5 a^{-5} -2 a^6 z^4+8 a^4 z^4+34 a^2 z^4+36 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} +49 z^4+6 a^5 z^3+8 a^3 z^3-7 a z^3-13 z^3 a^{-1} +2 z^3 a^{-3} +6 z^3 a^{-5} +a^6 z^2-3 a^4 z^2-18 a^2 z^2-24 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} -31 z^2-a^5 z-2 a^3 z-a z-z a^{-1} -3 z a^{-3} -2 z a^{-5} +a^4+4 a^2+6 a^{-2} +2 a^{-4} +8} |
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