K12a1059
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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^{13}-4 q^{12}+10 q^{11}-17 q^{10}+23 q^9-28 q^8+28 q^7-26 q^6+21 q^5-13 q^4+8 q^3-3 q^2+q} |
| 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+10 t^3-23 t^2+36 t-41+36 t^{-1} -23 t^{-2} +10 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^8-6 z^6-3 z^4+2 z^2+1} |
| Determinant | 183 |
| Signature | 6 |
| 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^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -4 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -4 z^4 a^{-6} -6 z^4 a^{-8} +3 z^4 a^{-10} +5 z^2 a^{-4} +z^2 a^{-6} -7 z^2 a^{-8} +3 z^2 a^{-10} +2 a^{-4} +2 a^{-6} -5 a^{-8} +2 a^{-10} } |
| 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^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +12 z^{10} a^{-8} +8 z^{10} a^{-10} +3 z^9 a^{-5} +4 z^9 a^{-7} +17 z^9 a^{-9} +16 z^9 a^{-11} +z^8 a^{-4} -13 z^8 a^{-6} -32 z^8 a^{-8} +2 z^8 a^{-10} +20 z^8 a^{-12} -13 z^7 a^{-5} -34 z^7 a^{-7} -62 z^7 a^{-9} -24 z^7 a^{-11} +17 z^7 a^{-13} -5 z^6 a^{-4} +8 z^6 a^{-6} +14 z^6 a^{-8} -43 z^6 a^{-10} -34 z^6 a^{-12} +10 z^6 a^{-14} +18 z^5 a^{-5} +46 z^5 a^{-7} +55 z^5 a^{-9} -23 z^5 a^{-13} +4 z^5 a^{-15} +9 z^4 a^{-4} +7 z^4 a^{-6} +6 z^4 a^{-8} +33 z^4 a^{-10} +17 z^4 a^{-12} -7 z^4 a^{-14} +z^4 a^{-16} -7 z^3 a^{-5} -20 z^3 a^{-7} -24 z^3 a^{-9} +z^3 a^{-11} +12 z^3 a^{-13} -7 z^2 a^{-4} -3 z^2 a^{-6} +5 z^2 a^{-8} -6 z^2 a^{-10} -4 z^2 a^{-12} +3 z^2 a^{-14} -z a^{-5} +5 z a^{-7} +9 z a^{-9} +z a^{-11} -2 z a^{-13} +2 a^{-4} -2 a^{-6} -5 a^{-8} -2 a^{-10} } |
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