K12a1083
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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^7+4 q^6-9 q^5+15 q^4-21 q^3+25 q^2-26 q+25-19 q^{-1} +13 q^{-2} -7 q^{-3} +3 q^{-4} - q^{-5} } |
| 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^4-9 t^3+21 t^2-33 t+39-33 t^{-1} +21 t^{-2} -9 t^{-3} +2 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 2 z^8+7 z^6+7 z^4+2 z^2+1} |
| Determinant | 169 |
| 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 a^{-2} +z^8-a^2 z^6+4 z^6 a^{-2} -z^6 a^{-4} +5 z^6-4 a^2 z^4+4 z^4 a^{-2} -3 z^4 a^{-4} +10 z^4-5 a^2 z^2-z^2 a^{-2} -2 z^2 a^{-4} +10 z^2-2 a^2-2 a^{-2} +5} |
| 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^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +5 z^{10} a^{-4} +6 z^{10}+9 a z^9+9 z^9 a^{-1} +6 z^9 a^{-3} +6 z^9 a^{-5} +9 a^2 z^8-28 z^8 a^{-2} -8 z^8 a^{-4} +4 z^8 a^{-6} -7 z^8+6 a^3 z^7-21 a z^7-35 z^7 a^{-1} -25 z^7 a^{-3} -16 z^7 a^{-5} +z^7 a^{-7} +3 a^4 z^6-23 a^2 z^6+26 z^6 a^{-2} -5 z^6 a^{-4} -13 z^6 a^{-6} -8 z^6+a^5 z^5-12 a^3 z^5+21 a z^5+42 z^5 a^{-1} +18 z^5 a^{-3} +7 z^5 a^{-5} -3 z^5 a^{-7} -5 a^4 z^4+28 a^2 z^4-14 z^4 a^{-2} +3 z^4 a^{-4} +12 z^4 a^{-6} +28 z^4-2 a^5 z^3+8 a^3 z^3-19 z^3 a^{-1} -8 z^3 a^{-3} +4 z^3 a^{-5} +3 z^3 a^{-7} -12 a^2 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} -18 z^2-2 a^3 z-2 a z+z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +2 a^2+2 a^{-2} +5} |
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