K12a1032
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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^4+3 q^3-6 q^2+11 q-16+20 q^{-1} -21 q^{-2} +21 q^{-3} -17 q^{-4} +12 q^{-5} -7 q^{-6} +3 q^{-7} - q^{-8} } |
| 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 4 t^3-16 t^2+31 t-37+31 t^{-1} -16 t^{-2} +4 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 4 z^6+8 z^4+3 z^2+1} |
| Determinant | 139 |
| 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^4 a^6-2 z^2 a^6-a^6+z^6 a^4+2 z^4 a^4+z^2 a^4+2 z^6 a^2+6 z^4 a^2+6 z^2 a^2+3 a^2+z^6+2 z^4-1-z^4 a^{-2} -2 z^2 a^{-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 a^3 z^{11}+a z^{11}+4 a^4 z^{10}+7 a^2 z^{10}+3 z^{10}+7 a^5 z^9+9 a^3 z^9+6 a z^9+4 z^9 a^{-1} +8 a^6 z^8-3 a^4 z^8-20 a^2 z^8+3 z^8 a^{-2} -6 z^8+6 a^7 z^7-15 a^5 z^7-34 a^3 z^7-28 a z^7-14 z^7 a^{-1} +z^7 a^{-3} +3 a^8 z^6-20 a^6 z^6-6 a^4 z^6+30 a^2 z^6-12 z^6 a^{-2} +z^6+a^9 z^5-13 a^7 z^5+14 a^5 z^5+53 a^3 z^5+45 a z^5+16 z^5 a^{-1} -4 z^5 a^{-3} -5 a^8 z^4+23 a^6 z^4+13 a^4 z^4-31 a^2 z^4+14 z^4 a^{-2} -2 z^4-2 a^9 z^3+10 a^7 z^3-39 a^3 z^3-41 a z^3-10 z^3 a^{-1} +4 z^3 a^{-3} -9 a^6 z^2-3 a^4 z^2+13 a^2 z^2-4 z^2 a^{-2} +3 z^2-3 a^7 z+10 a^3 z+11 a z+4 z a^{-1} +a^6-3 a^2-1} |
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