K12a1119
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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+3 q^6-7 q^5+13 q^4-19 q^3+24 q^2-26 q+26-21 q^{-1} +15 q^{-2} -9 q^{-3} +4 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+5 z^6 a^{-2} -z^6 a^{-4} +4 z^6-3 a^2 z^4+10 z^4 a^{-2} -4 z^4 a^{-4} +4 z^4-2 a^2 z^2+10 z^2 a^{-2} -5 z^2 a^{-4} -z^2+4 a^{-2} -2 a^{-4} -1} |
| 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}+10 a z^9+9 z^9 a^{-1} +4 z^9 a^{-3} +5 z^9 a^{-5} +11 a^2 z^8-33 z^8 a^{-2} -16 z^8 a^{-4} +3 z^8 a^{-6} -3 z^8+8 a^3 z^7-17 a z^7-33 z^7 a^{-1} -27 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +4 a^4 z^6-21 a^2 z^6+46 z^6 a^{-2} +23 z^6 a^{-4} -11 z^6 a^{-6} -13 z^6+a^5 z^5-12 a^3 z^5+10 a z^5+40 z^5 a^{-1} +44 z^5 a^{-3} +23 z^5 a^{-5} -4 z^5 a^{-7} -5 a^4 z^4+17 a^2 z^4-40 z^4 a^{-2} -24 z^4 a^{-4} +11 z^4 a^{-6} +17 z^4-a^5 z^3+4 a^3 z^3+a z^3-22 z^3 a^{-1} -38 z^3 a^{-3} -16 z^3 a^{-5} +4 z^3 a^{-7} -6 a^2 z^2+18 z^2 a^{-2} +10 z^2 a^{-4} -2 z^2 a^{-6} -a^3 z+6 z a^{-1} +10 z a^{-3} +5 z a^{-5} -4 a^{-2} -2 a^{-4} -1} |
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