K12a1058
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | |
| 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^3+18 t^2-53 t+75-53 t^{-1} +18 t^{-2} -2 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 -2 z^6+6 z^4+z^2+1} |
| Determinant | 221 |
| 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^2 a^6+2 z^4 a^4-a^4-z^6 a^2+z^4 a^2+2 z^2 a^2+2 a^2-z^6+z^4+z^2+2 z^4 a^{-2} -z^2 a^{-4} } |
| 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 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+18 a^2 z^{10}+10 z^{10}+8 a^5 z^9+13 a^3 z^9+20 a z^9+15 z^9 a^{-1} +4 a^6 z^8-18 a^4 z^8-42 a^2 z^8+14 z^8 a^{-2} -6 z^8+a^7 z^7-25 a^5 z^7-61 a^3 z^7-69 a z^7-25 z^7 a^{-1} +9 z^7 a^{-3} -12 a^6 z^6+7 a^4 z^6+29 a^2 z^6-22 z^6 a^{-2} +4 z^6 a^{-4} -16 z^6-3 a^7 z^5+26 a^5 z^5+76 a^3 z^5+79 a z^5+20 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} +10 a^6 z^4+a^4 z^4-10 a^2 z^4+16 z^4 a^{-2} -4 z^4 a^{-4} +19 z^4+2 a^7 z^3-14 a^5 z^3-43 a^3 z^3-44 a z^3-11 z^3 a^{-1} +5 z^3 a^{-3} -z^3 a^{-5} -3 a^6 z^2+2 a^4 z^2+5 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} -6 z^2+4 a^5 z+10 a^3 z+9 a z+3 z a^{-1} -a^4-2 a^2} |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
