K12a1086
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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^4+4 q^3-9 q^2+16 q-23+29 q^{-1} -31 q^{-2} +30 q^{-3} -24 q^{-4} +17 q^{-5} -10 q^{-6} +4 q^{-7} - q^{-8} } |
| 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^3-20 t^2+46 t-59+46 t^{-1} -20 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+4 z^4+2 z^2+1} |
| Determinant | 199 |
| 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^4 a^6-z^2 a^6-a^6+z^6 a^4+z^4 a^4+z^2 a^4+a^4+2 z^6 a^2+4 z^4 a^2+3 z^2 a^2+a^2+z^6+z^4-z^4 a^{-2} -z^2 a^{-2} } |
| 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 3 a^3 z^{11}+3 a z^{11}+9 a^4 z^{10}+16 a^2 z^{10}+7 z^{10}+13 a^5 z^9+12 a^3 z^9+6 a z^9+7 z^9 a^{-1} +13 a^6 z^8-11 a^4 z^8-46 a^2 z^8+4 z^8 a^{-2} -18 z^8+9 a^7 z^7-23 a^5 z^7-48 a^3 z^7-39 a z^7-22 z^7 a^{-1} +z^7 a^{-3} +4 a^8 z^6-23 a^6 z^6-a^4 z^6+51 a^2 z^6-13 z^6 a^{-2} +12 z^6+a^9 z^5-13 a^7 z^5+16 a^5 z^5+58 a^3 z^5+51 a z^5+20 z^5 a^{-1} -3 z^5 a^{-3} -4 a^8 z^4+17 a^6 z^4+8 a^4 z^4-29 a^2 z^4+11 z^4 a^{-2} -5 z^4-a^9 z^3+6 a^7 z^3-3 a^5 z^3-30 a^3 z^3-30 a z^3-8 z^3 a^{-1} +2 z^3 a^{-3} -6 a^6 z^2-3 a^4 z^2+7 a^2 z^2-2 z^2 a^{-2} +2 z^2-2 a^7 z+6 a^3 z+6 a z+2 z a^{-1} +a^6+a^4-a^2} |
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