K12a1187
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^3-5 q^2+13 q-24+37 q^{-1} -45 q^{-2} +49 q^{-3} -46 q^{-4} +37 q^{-5} -26 q^{-6} +14 q^{-7} -5 q^{-8} + q^{-9} } |
| 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+12 t^3-35 t^2+64 t-77+64 t^{-1} -35 t^{-2} +12 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^8-4 z^6-3 z^4+1} |
| Determinant | 303 |
| 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 -a^4 z^8-a^2 z^8+a^6 z^6-3 a^4 z^6-3 a^2 z^6+z^6+2 a^6 z^4-4 a^4 z^4-3 a^2 z^4+2 z^4+2 a^6 z^2-4 a^4 z^2+a^2 z^2+z^2+a^6-3 a^4+3 a^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 5 a^5 z^{11}+5 a^3 z^{11}+15 a^6 z^{10}+29 a^4 z^{10}+14 a^2 z^{10}+19 a^7 z^9+30 a^5 z^9+28 a^3 z^9+17 a z^9+13 a^8 z^8-10 a^6 z^8-44 a^4 z^8-9 a^2 z^8+12 z^8+5 a^9 z^7-34 a^7 z^7-82 a^5 z^7-77 a^3 z^7-29 a z^7+5 z^7 a^{-1} +a^{10} z^6-22 a^8 z^6-20 a^6 z^6+5 a^4 z^6-20 a^2 z^6+z^6 a^{-2} -21 z^6-6 a^9 z^5+23 a^7 z^5+65 a^5 z^5+60 a^3 z^5+17 a z^5-7 z^5 a^{-1} -a^{10} z^4+14 a^8 z^4+17 a^6 z^4+9 a^4 z^4+21 a^2 z^4-z^4 a^{-2} +13 z^4+2 a^9 z^3-11 a^7 z^3-27 a^5 z^3-20 a^3 z^3-4 a z^3+2 z^3 a^{-1} -4 a^8 z^2-3 a^6 z^2+2 a^4 z^2-2 a^2 z^2-3 z^2+3 a^7 z+7 a^5 z+5 a^3 z+a z-a^6-3 a^4-3 a^2} |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
