K12a1102
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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+14 q^4-25 q^3+37 q^2-46 q+49-46 q^{-1} +37 q^{-2} -25 q^{-3} +14 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+30 t^2-68 t+91-68 t^{-1} +30 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+2 z^4-4 z^2+1} |
| Determinant | 305 |
| 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} +10 z^4+a^4 z^2-8 a^2 z^2-8 z^2 a^{-2} +z^2 a^{-4} +10 z^2+2 a^4-4 a^2-4 a^{-2} +2 a^{-4} +5} |
| 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 5 a z^{11}+5 z^{11} a^{-1} +15 a^2 z^{10}+15 z^{10} a^{-2} +30 z^{10}+19 a^3 z^9+32 a z^9+32 z^9 a^{-1} +19 z^9 a^{-3} +13 a^4 z^8-10 a^2 z^8-10 z^8 a^{-2} +13 z^8 a^{-4} -46 z^8+5 a^5 z^7-36 a^3 z^7-95 a z^7-95 z^7 a^{-1} -36 z^7 a^{-3} +5 z^7 a^{-5} +a^6 z^6-23 a^4 z^6-27 a^2 z^6-27 z^6 a^{-2} -23 z^6 a^{-4} +z^6 a^{-6} -6 z^6-6 a^5 z^5+26 a^3 z^5+84 a z^5+84 z^5 a^{-1} +26 z^5 a^{-3} -6 z^5 a^{-5} -a^6 z^4+15 a^4 z^4+36 a^2 z^4+36 z^4 a^{-2} +15 z^4 a^{-4} -z^4 a^{-6} +40 z^4+a^5 z^3-11 a^3 z^3-28 a z^3-28 z^3 a^{-1} -11 z^3 a^{-3} +z^3 a^{-5} -7 a^4 z^2-18 a^2 z^2-18 z^2 a^{-2} -7 z^2 a^{-4} -22 z^2+2 a^3 z+2 a z+2 z a^{-1} +2 z a^{-3} +2 a^4+4 a^2+4 a^{-2} +2 a^{-4} +5} |
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