K12a1090
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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^9-3 q^8+8 q^7-15 q^6+21 q^5-26 q^4+28 q^3-26 q^2+21 q-14+8 q^{-1} -3 q^{-2} + q^{-3} } |
| 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^3-16 t^2+42 t-55+42 t^{-1} -16 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^6-4 z^4-4 z^2+1} |
| Determinant | 175 |
| Signature | 2 |
| 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^{-2} +z^6 a^{-4} -2 z^4 a^{-6} -2 z^4+a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} -2 z^2+a^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^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +11 z^{10} a^{-4} +6 z^{10} a^{-6} +6 z^9 a^{-1} +7 z^9 a^{-3} +9 z^9 a^{-5} +8 z^9 a^{-7} -6 z^8 a^{-2} -27 z^8 a^{-4} -10 z^8 a^{-6} +6 z^8 a^{-8} +5 z^8+3 a z^7-10 z^7 a^{-1} -25 z^7 a^{-3} -37 z^7 a^{-5} -22 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6+3 z^6 a^{-2} +32 z^6 a^{-4} +3 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} -9 z^6-7 a z^5+6 z^5 a^{-1} +35 z^5 a^{-3} +58 z^5 a^{-5} +29 z^5 a^{-7} -7 z^5 a^{-9} -3 a^2 z^4-3 z^4 a^{-2} -16 z^4 a^{-4} +8 z^4 a^{-6} +13 z^4 a^{-8} -3 z^4 a^{-10} +2 z^4+4 a z^3-6 z^3 a^{-1} -23 z^3 a^{-3} -39 z^3 a^{-5} -23 z^3 a^{-7} +3 z^3 a^{-9} +3 a^2 z^2+4 z^2 a^{-4} -7 z^2 a^{-6} -7 z^2 a^{-8} +2 z^2 a^{-10} +z^2+2 z a^{-1} +6 z a^{-3} +10 z a^{-5} +6 z a^{-7} -a^2+ a^{-6} + a^{-8} } |
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