K12a106
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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}-3 q^{11}+6 q^{10}-12 q^9+17 q^8-21 q^7+23 q^6-21 q^5+18 q^4-12 q^3+7 q^2-3 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^3+14 t^2-34 t+45-34 t^{-1} +14 t^{-2} -2 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 -2 z^6+2 z^4+4 z^2+1} |
| Determinant | 145 |
| 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} -z^6 a^{-6} +z^4 a^{-2} -2 z^4 a^{-4} +3 z^4 a^{-8} +2 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} +4 z^2 a^{-8} -3 z^2 a^{-10} + a^{-2} - a^{-4} +2 a^{-6} + a^{-8} -3 a^{-10} + a^{-12} } |
| 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 z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +4 z^9 a^{-5} +6 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +4 z^8 a^{-4} -z^8 a^{-6} -10 z^8 a^{-8} -z^8 a^{-10} +4 z^8 a^{-12} +3 z^7 a^{-3} -3 z^7 a^{-5} -14 z^7 a^{-7} -15 z^7 a^{-9} -4 z^7 a^{-11} +3 z^7 a^{-13} +z^6 a^{-2} -6 z^6 a^{-4} -z^6 a^{-6} +8 z^6 a^{-8} -7 z^6 a^{-10} -8 z^6 a^{-12} +z^6 a^{-14} -8 z^5 a^{-3} -7 z^5 a^{-5} +14 z^5 a^{-7} +13 z^5 a^{-9} -9 z^5 a^{-11} -9 z^5 a^{-13} -3 z^4 a^{-2} -3 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +12 z^4 a^{-10} +2 z^4 a^{-12} -3 z^4 a^{-14} +6 z^3 a^{-3} +6 z^3 a^{-5} -7 z^3 a^{-7} +z^3 a^{-9} +16 z^3 a^{-11} +8 z^3 a^{-13} +3 z^2 a^{-2} +5 z^2 a^{-4} +6 z^2 a^{-6} -3 z^2 a^{-8} -9 z^2 a^{-10} +2 z^2 a^{-14} -z a^{-3} -2 z a^{-5} +z a^{-7} -3 z a^{-9} -8 z a^{-11} -3 z a^{-13} - a^{-2} - a^{-4} -2 a^{-6} + a^{-8} +3 a^{-10} + a^{-12} } |
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