K12a1055
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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^4-9 q^3+17 q^2-25 q+31-33 q^{-1} +31 q^{-2} -25 q^{-3} +18 q^{-4} -10 q^{-5} +4 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^3+17 t^2-50 t+71-50 t^{-1} +17 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+5 z^4+1} |
| Determinant | 209 |
| 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^2 a^6+2 z^4 a^4-a^4-z^6 a^2+z^4 a^2+3 z^2 a^2+3 a^2-z^6-2 z^2-2+2 z^4 a^{-2} +z^2 a^{-2} + a^{-2} -z^2 a^{-4} } |
| 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 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+17 a^2 z^{10}+9 z^{10}+8 a^5 z^9+11 a^3 z^9+15 a z^9+12 z^9 a^{-1} +4 a^6 z^8-19 a^4 z^8-43 a^2 z^8+11 z^8 a^{-2} -9 z^8+a^7 z^7-25 a^5 z^7-55 a^3 z^7-54 a z^7-17 z^7 a^{-1} +8 z^7 a^{-3} -12 a^6 z^6+9 a^4 z^6+37 a^2 z^6-13 z^6 a^{-2} +4 z^6 a^{-4} -z^6-3 a^7 z^5+25 a^5 z^5+66 a^3 z^5+59 a z^5+10 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +10 a^6 z^4-2 a^4 z^4-21 a^2 z^4+3 z^4 a^{-2} -5 z^4 a^{-4} -z^4+2 a^7 z^3-13 a^5 z^3-34 a^3 z^3-28 a z^3-4 z^3 a^{-1} +4 z^3 a^{-3} -z^3 a^{-5} -3 a^6 z^2+3 a^4 z^2+12 a^2 z^2+2 z^2 a^{-2} +2 z^2 a^{-4} +6 z^2+3 a^5 z+7 a^3 z+5 a z+z a^{-1} -a^4-3 a^2- a^{-2} -2} |
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