K12a1041
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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}+5 q^{10}-13 q^9+23 q^8-33 q^7+40 q^6-42 q^5+39 q^4-31 q^3+21 q^2-11 q+5- 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^4-12 t^3+33 t^2-54 t+63-54 t^{-1} +33 t^{-2} -12 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+4 z^6+z^4+2 z^2+1} |
| Determinant | 265 |
| 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} +3 z^6 a^{-4} +3 z^6 a^{-6} -z^6 a^{-8} -2 z^4 a^{-2} +2 z^4 a^{-4} +3 z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} -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 4 z^{11} a^{-5} +4 z^{11} a^{-7} +10 z^{10} a^{-4} +23 z^{10} a^{-6} +13 z^{10} a^{-8} +10 z^9 a^{-3} +15 z^9 a^{-5} +26 z^9 a^{-7} +21 z^9 a^{-9} +5 z^8 a^{-2} -20 z^8 a^{-4} -45 z^8 a^{-6} +z^8 a^{-8} +21 z^8 a^{-10} +z^7 a^{-1} -29 z^7 a^{-3} -60 z^7 a^{-5} -69 z^7 a^{-7} -26 z^7 a^{-9} +13 z^7 a^{-11} -14 z^6 a^{-2} +5 z^6 a^{-4} +22 z^6 a^{-6} -32 z^6 a^{-8} -30 z^6 a^{-10} +5 z^6 a^{-12} -2 z^5 a^{-1} +26 z^5 a^{-3} +57 z^5 a^{-5} +49 z^5 a^{-7} +6 z^5 a^{-9} -13 z^5 a^{-11} +z^5 a^{-13} +10 z^4 a^{-2} +5 z^4 a^{-4} -10 z^4 a^{-6} +13 z^4 a^{-8} +16 z^4 a^{-10} -2 z^4 a^{-12} -6 z^3 a^{-3} -20 z^3 a^{-5} -22 z^3 a^{-7} -3 z^3 a^{-9} +5 z^3 a^{-11} +z^2 a^{-2} +4 z^2 a^{-4} +7 z^2 a^{-6} +2 z^2 a^{-8} -2 z^2 a^{-10} +z a^{-3} +3 z a^{-5} +5 z a^{-7} +3 z a^{-9} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} } |
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