K12a1009
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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^{11}+3 q^{10}-6 q^9+11 q^8-16 q^7+19 q^6-21 q^5+20 q^4-16 q^3+12 q^2-7 q+4- q^{-1} } |
| 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+19 t^2-25 t+27-25 t^{-1} +19 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+5 z^4+2 z^2+1} |
| Determinant | 137 |
| Signature | 4 |
| 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^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +3 z^4 a^{-4} +9 z^4 a^{-6} -4 z^4 a^{-8} -2 z^2 a^{-4} +8 z^2 a^{-6} -4 z^2 a^{-8} +2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} } |
| 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^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +10 z^{10} a^{-6} +5 z^{10} a^{-8} +6 z^9 a^{-3} +2 z^9 a^{-5} +2 z^9 a^{-7} +6 z^9 a^{-9} +4 z^8 a^{-2} -15 z^8 a^{-4} -39 z^8 a^{-6} -14 z^8 a^{-8} +6 z^8 a^{-10} +z^7 a^{-1} -22 z^7 a^{-3} -26 z^7 a^{-5} -22 z^7 a^{-7} -14 z^7 a^{-9} +5 z^7 a^{-11} -15 z^6 a^{-2} +9 z^6 a^{-4} +62 z^6 a^{-6} +23 z^6 a^{-8} -12 z^6 a^{-10} +3 z^6 a^{-12} -3 z^5 a^{-1} +20 z^5 a^{-3} +39 z^5 a^{-5} +44 z^5 a^{-7} +17 z^5 a^{-9} -10 z^5 a^{-11} +z^5 a^{-13} +13 z^4 a^{-2} -3 z^4 a^{-4} -48 z^4 a^{-6} -17 z^4 a^{-8} +9 z^4 a^{-10} -6 z^4 a^{-12} +z^3 a^{-1} -5 z^3 a^{-3} -23 z^3 a^{-5} -32 z^3 a^{-7} -7 z^3 a^{-9} +6 z^3 a^{-11} -2 z^3 a^{-13} -z^2 a^{-2} +6 z^2 a^{-4} +15 z^2 a^{-6} +6 z^2 a^{-8} +2 z^2 a^{-12} +2 z a^{-3} +5 z a^{-5} +5 z a^{-7} +z a^{-9} -z a^{-11} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} } |
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