K12a1066
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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+7 q^7-13 q^6+19 q^5-24 q^4+26 q^3-24 q^2+20 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^4+8 t^3-19 t^2+33 t-39+33 t^{-1} -19 t^{-2} +8 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^8-8 z^6-11 z^4-3 z^2+1} |
| Determinant | 163 |
| 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^8 a^{-2} -z^8 a^{-4} -5 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +z^6-10 z^4 a^{-2} -9 z^4 a^{-4} +4 z^4 a^{-6} +4 z^4-9 z^2 a^{-2} -5 z^2 a^{-4} +5 z^2 a^{-6} +6 z^2-3 a^{-2} + a^{-6} +3} |
| 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} +10 z^{10} a^{-4} +5 z^{10} a^{-6} +7 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +6 z^9 a^{-7} -6 z^8 a^{-2} -27 z^8 a^{-4} -10 z^8 a^{-6} +5 z^8 a^{-8} +6 z^8+3 a z^7-17 z^7 a^{-1} -20 z^7 a^{-3} -17 z^7 a^{-5} -14 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6-6 z^6 a^{-2} +35 z^6 a^{-4} +11 z^6 a^{-6} -12 z^6 a^{-8} +z^6 a^{-10} -16 z^6-7 a z^5+17 z^5 a^{-1} +25 z^5 a^{-3} +22 z^5 a^{-5} +13 z^5 a^{-7} -8 z^5 a^{-9} -3 a^2 z^4+19 z^4 a^{-2} -19 z^4 a^{-4} -8 z^4 a^{-6} +8 z^4 a^{-8} -3 z^4 a^{-10} +16 z^4+3 a z^3-11 z^3 a^{-1} -10 z^3 a^{-3} -8 z^3 a^{-5} -7 z^3 a^{-7} +5 z^3 a^{-9} +2 a^2 z^2-16 z^2 a^{-2} +6 z^2 a^{-4} +4 z^2 a^{-6} -3 z^2 a^{-8} +2 z^2 a^{-10} -11 z^2+z a^{-1} +z a^{-3} +z a^{-5} -z a^{-9} +3 a^{-2} - a^{-6} +3} |
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