K12a1105
From Knot Atlas
Jump to navigationJump to search
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+13 q^4-24 q^3+35 q^2-43 q+47-43 q^{-1} +35 q^{-2} -24 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+30 t^2-64 t+83-64 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+1} |
| Determinant | 289 |
| 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^2-7 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} +12 z^2+a^4-4 a^2-4 a^{-2} + a^{-4} +7} |
| 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}+13 z^{10} a^{-2} +26 z^{10}+17 a^3 z^9+33 a z^9+33 z^9 a^{-1} +17 z^9 a^{-3} +12 a^4 z^8-5 a^2 z^8-5 z^8 a^{-2} +12 z^8 a^{-4} -34 z^8+5 a^5 z^7-31 a^3 z^7-100 a z^7-100 z^7 a^{-1} -31 z^7 a^{-3} +5 z^7 a^{-5} +a^6 z^6-21 a^4 z^6-36 a^2 z^6-36 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} -28 z^6-7 a^5 z^5+20 a^3 z^5+99 a z^5+99 z^5 a^{-1} +20 z^5 a^{-3} -7 z^5 a^{-5} -a^6 z^4+12 a^4 z^4+47 a^2 z^4+47 z^4 a^{-2} +12 z^4 a^{-4} -z^4 a^{-6} +68 z^4+2 a^5 z^3-9 a^3 z^3-41 a z^3-41 z^3 a^{-1} -9 z^3 a^{-3} +2 z^3 a^{-5} -5 a^4 z^2-23 a^2 z^2-23 z^2 a^{-2} -5 z^2 a^{-4} -36 z^2+2 a^3 z+6 a z+6 z a^{-1} +2 z a^{-3} +a^4+4 a^2+4 a^{-2} + a^{-4} +7} |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
