K12a1024
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^8-3 q^7+6 q^6-11 q^5+16 q^4-20 q^3+23 q^2-22 q+19-14 q^{-1} +9 q^{-2} -4 q^{-3} + q^{-4} } |
| 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 -4 t^3+17 t^2-33 t+41-33 t^{-1} +17 t^{-2} -4 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 -4 z^6-7 z^4-z^2+1} |
| Determinant | 149 |
| 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 -2 z^6 a^{-2} -z^6 a^{-4} -z^6+a^2 z^4-6 z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-6} +2 z^2-2 a^{-2} + a^{-4} +2} |
| 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} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +9 z^9 a^{-1} +12 z^9 a^{-3} +6 z^9 a^{-5} +3 z^9 a^{-7} +9 z^8 a^{-2} -15 z^8 a^{-4} -10 z^8 a^{-6} +z^8 a^{-8} +13 z^8+13 a z^7-6 z^7 a^{-1} -39 z^7 a^{-3} -35 z^7 a^{-5} -15 z^7 a^{-7} +9 a^2 z^6-44 z^6 a^{-2} -7 z^6 a^{-4} +5 z^6 a^{-6} -5 z^6 a^{-8} -18 z^6+4 a^3 z^5-17 a z^5-15 z^5 a^{-1} +29 z^5 a^{-3} +48 z^5 a^{-5} +25 z^5 a^{-7} +a^4 z^4-8 a^2 z^4+39 z^4 a^{-2} +23 z^4 a^{-4} +8 z^4 a^{-6} +8 z^4 a^{-8} +7 z^4-a^3 z^3+8 a z^3+8 z^3 a^{-1} -8 z^3 a^{-3} -22 z^3 a^{-5} -15 z^3 a^{-7} +3 a^2 z^2-16 z^2 a^{-2} -8 z^2 a^{-4} -4 z^2 a^{-6} -4 z^2 a^{-8} -5 z^2-a z-z a^{-1} +2 z a^{-3} +4 z a^{-5} +2 z a^{-7} +2 a^{-2} + a^{-4} +2} |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
