K12a10
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^9-5 q^8+11 q^7-19 q^6+27 q^5-31 q^4+33 q^3-30 q^2+23 q-15+8 q^{-1} -3 q^{-2} + q^{-3} } |
| 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 3 t^3-19 t^2+49 t-65+49 t^{-1} -19 t^{-2} +3 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 3 z^6-z^4+1} |
| Determinant | 207 |
| 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^6 a^{-2} +2 z^6 a^{-4} -z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+a^2 z^2-4 z^2 a^{-2} +8 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -2 z^2+a^2-3 a^{-2} +5 a^{-4} -2 a^{-6} } |
| 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 z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +6 z^9 a^{-1} +18 z^9 a^{-3} +22 z^9 a^{-5} +10 z^9 a^{-7} +7 z^8 a^{-2} +8 z^8 a^{-4} +16 z^8 a^{-6} +10 z^8 a^{-8} +5 z^8+3 a z^7-7 z^7 a^{-1} -42 z^7 a^{-3} -47 z^7 a^{-5} -10 z^7 a^{-7} +5 z^7 a^{-9} +a^2 z^6-29 z^6 a^{-2} -61 z^6 a^{-4} -62 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} -8 z^6-7 a z^5+2 z^5 a^{-1} +38 z^5 a^{-3} +25 z^5 a^{-5} -13 z^5 a^{-7} -9 z^5 a^{-9} -3 a^2 z^4+35 z^4 a^{-2} +77 z^4 a^{-4} +60 z^4 a^{-6} +12 z^4 a^{-8} -z^4 a^{-10} +2 z^4+5 a z^3-2 z^3 a^{-1} -15 z^3 a^{-3} +z^3 a^{-5} +13 z^3 a^{-7} +4 z^3 a^{-9} +3 a^2 z^2-19 z^2 a^{-2} -36 z^2 a^{-4} -23 z^2 a^{-6} -4 z^2 a^{-8} +z^2-a z+z a^{-1} +3 z a^{-3} -z a^{-5} -2 z a^{-7} -a^2+3 a^{-2} +5 a^{-4} +2 a^{-6} } |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
