K12a1038
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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^{12}-4 q^{11}+9 q^{10}-16 q^9+23 q^8-29 q^7+31 q^6-29 q^5+24 q^4-16 q^3+10 q^2-4 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 -4 t^3+21 t^2-45 t+57-45 t^{-1} +21 t^{-2} -4 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 -4 z^6-3 z^4+3 z^2+1} |
| Determinant | 197 |
| 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^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -4 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +z^2 a^{-2} +4 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-10} +3 a^{-4} -2 a^{-6} } |
| 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} +6 z^{10} a^{-6} +13 z^{10} a^{-8} +7 z^{10} a^{-10} +9 z^9 a^{-5} +14 z^9 a^{-7} +15 z^9 a^{-9} +10 z^9 a^{-11} +8 z^8 a^{-4} -z^8 a^{-6} -26 z^8 a^{-8} -9 z^8 a^{-10} +8 z^8 a^{-12} +4 z^7 a^{-3} -17 z^7 a^{-5} -46 z^7 a^{-7} -55 z^7 a^{-9} -26 z^7 a^{-11} +4 z^7 a^{-13} +z^6 a^{-2} -18 z^6 a^{-4} -21 z^6 a^{-6} +13 z^6 a^{-8} -6 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} -8 z^5 a^{-3} +9 z^5 a^{-5} +54 z^5 a^{-7} +72 z^5 a^{-9} +26 z^5 a^{-11} -9 z^5 a^{-13} -2 z^4 a^{-2} +13 z^4 a^{-4} +26 z^4 a^{-6} +12 z^4 a^{-8} +17 z^4 a^{-10} +14 z^4 a^{-12} -2 z^4 a^{-14} +3 z^3 a^{-3} -4 z^3 a^{-5} -27 z^3 a^{-7} -36 z^3 a^{-9} -13 z^3 a^{-11} +3 z^3 a^{-13} +z^2 a^{-2} -8 z^2 a^{-4} -13 z^2 a^{-6} -7 z^2 a^{-8} -7 z^2 a^{-10} -4 z^2 a^{-12} +5 z a^{-7} +7 z a^{-9} +2 z a^{-11} +3 a^{-4} +2 a^{-6} } |
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