K12a1076
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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^6-5 q^5+12 q^4-22 q^3+33 q^2-40 q+44-41 q^{-1} +33 q^{-2} -23 q^{-3} +13 q^{-4} -5 q^{-5} + q^{-6} } |
| 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 t^4-8 t^3+29 t^2-60 t+77-60 t^{-1} +29 t^{-2} -8 t^{-3} + 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 z^8+z^4+1} |
| Determinant | 273 |
| Signature | 0 |
| 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^8-2 a^2 z^6-2 z^6 a^{-2} +4 z^6+a^4 z^4-5 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +9 z^4+a^4 z^2-6 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +9 z^2+a^4-3 a^2- a^{-2} +4} |
| 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 4 a z^{11}+4 z^{11} a^{-1} +13 a^2 z^{10}+11 z^{10} a^{-2} +24 z^{10}+17 a^3 z^9+27 a z^9+24 z^9 a^{-1} +14 z^9 a^{-3} +12 a^4 z^8-12 a^2 z^8-3 z^8 a^{-2} +11 z^8 a^{-4} -38 z^8+5 a^5 z^7-35 a^3 z^7-85 a z^7-71 z^7 a^{-1} -21 z^7 a^{-3} +5 z^7 a^{-5} +a^6 z^6-22 a^4 z^6-18 a^2 z^6-31 z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} -5 z^6-7 a^5 z^5+26 a^3 z^5+84 a z^5+63 z^5 a^{-1} +4 z^5 a^{-3} -8 z^5 a^{-5} -a^6 z^4+11 a^4 z^4+30 a^2 z^4+36 z^4 a^{-2} +11 z^4 a^{-4} -z^4 a^{-6} +42 z^4+a^5 z^3-11 a^3 z^3-31 a z^3-20 z^3 a^{-1} +2 z^3 a^{-3} +3 z^3 a^{-5} -4 a^4 z^2-16 a^2 z^2-15 z^2 a^{-2} -3 z^2 a^{-4} -24 z^2+2 a^3 z+4 a z+2 z a^{-1} +a^4+3 a^2+ a^{-2} +4} |
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