K12a1048
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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^5+4 q^4-10 q^3+18 q^2-25 q+30-31 q^{-1} +29 q^{-2} -22 q^{-3} +15 q^{-4} -8 q^{-5} +3 q^{-6} - q^{-7} } |
| 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+23 t^2-40 t+49-40 t^{-1} +23 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+9 z^4+3 z^2+1} |
| Determinant | 197 |
| 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 a^2 z^8+z^8-a^4 z^6+5 a^2 z^6-z^6 a^{-2} +4 z^6-4 a^4 z^4+11 a^2 z^4-3 z^4 a^{-2} +5 z^4-6 a^4 z^2+12 a^2 z^2-3 z^2 a^{-2} -3 a^4+6 a^2-2} |
| 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 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+12 a^2 z^{10}+7 z^{10}+5 a^5 z^9+8 a^3 z^9+15 a z^9+12 z^9 a^{-1} +3 a^6 z^8-10 a^4 z^8-24 a^2 z^8+13 z^8 a^{-2} +2 z^8+a^7 z^7-14 a^5 z^7-30 a^3 z^7-38 a z^7-14 z^7 a^{-1} +9 z^7 a^{-3} -10 a^6 z^6+6 a^4 z^6+22 a^2 z^6-20 z^6 a^{-2} +4 z^6 a^{-4} -18 z^6-4 a^7 z^5+11 a^5 z^5+30 a^3 z^5+31 a z^5+3 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} +10 a^6 z^4-9 a^4 z^4-29 a^2 z^4+14 z^4 a^{-2} -4 z^4 a^{-4} +8 z^4+5 a^7 z^3-2 a^5 z^3-17 a^3 z^3-17 a z^3+z^3 a^{-1} +7 z^3 a^{-3} -z^3 a^{-5} -3 a^6 z^2+11 a^4 z^2+22 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +3 z^2-2 a^7 z+5 a^3 z+4 a z-z a^{-3} -3 a^4-6 a^2-2} |
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