K12a1091
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^7+4 q^6-10 q^5+19 q^4-28 q^3+35 q^2-38 q+36-29 q^{-1} +21 q^{-2} -11 q^{-3} +4 q^{-4} - q^{-5} } |
| 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^4-10 t^3+27 t^2-49 t+61-49 t^{-1} +27 t^{-2} -10 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+6 z^6+7 z^4+z^2+1} |
| Determinant | 237 |
| 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 a^{-2} +z^8-a^2 z^6+4 z^6 a^{-2} -z^6 a^{-4} +4 z^6-3 a^2 z^4+6 z^4 a^{-2} -3 z^4 a^{-4} +7 z^4-4 a^2 z^2+2 z^2 a^{-2} -3 z^2 a^{-4} +6 z^2-a^2- a^{-2} +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 3 z^{11} a^{-1} +3 z^{11} a^{-3} +18 z^{10} a^{-2} +7 z^{10} a^{-4} +11 z^{10}+18 a z^9+24 z^9 a^{-1} +13 z^9 a^{-3} +7 z^9 a^{-5} +17 a^2 z^8-31 z^8 a^{-2} -9 z^8 a^{-4} +4 z^8 a^{-6} -z^8+10 a^3 z^7-30 a z^7-68 z^7 a^{-1} -46 z^7 a^{-3} -17 z^7 a^{-5} +z^7 a^{-7} +4 a^4 z^6-30 a^2 z^6+2 z^6 a^{-2} -10 z^6 a^{-4} -12 z^6 a^{-6} -34 z^6+a^5 z^5-12 a^3 z^5+20 a z^5+56 z^5 a^{-1} +36 z^5 a^{-3} +10 z^5 a^{-5} -3 z^5 a^{-7} -3 a^4 z^4+28 a^2 z^4+11 z^4 a^{-2} +14 z^4 a^{-4} +12 z^4 a^{-6} +40 z^4-a^5 z^3+7 a^3 z^3-4 a z^3-21 z^3 a^{-1} -11 z^3 a^{-3} +z^3 a^{-5} +3 z^3 a^{-7} -12 a^2 z^2-6 z^2 a^{-2} -3 z^2 a^{-4} -4 z^2 a^{-6} -19 z^2-a^3 z+3 z a^{-1} +2 z a^{-3} -z a^{-5} -z a^{-7} +a^2+ a^{-2} +3} |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
