K12a1098
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^{12}-5 q^{11}+13 q^{10}-24 q^9+35 q^8-44 q^7+47 q^6-44 q^5+36 q^4-24 q^3+14 q^2-5 q+1} |
| 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 -5 t^3+29 t^2-68 t+89-68 t^{-1} +29 t^{-2} -5 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 -5 z^6-z^4+3 z^2+1} |
| Determinant | 293 |
| Signature | 4 |
| 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^{-4} -3 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} +2 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +z^4 a^{-10} +6 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +3 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 5 z^{11} a^{-7} +5 z^{11} a^{-9} +15 z^{10} a^{-6} +29 z^{10} a^{-8} +14 z^{10} a^{-10} +19 z^9 a^{-5} +28 z^9 a^{-7} +26 z^9 a^{-9} +17 z^9 a^{-11} +13 z^8 a^{-4} -15 z^8 a^{-6} -53 z^8 a^{-8} -13 z^8 a^{-10} +12 z^8 a^{-12} +5 z^7 a^{-3} -39 z^7 a^{-5} -88 z^7 a^{-7} -80 z^7 a^{-9} -31 z^7 a^{-11} +5 z^7 a^{-13} +z^6 a^{-2} -24 z^6 a^{-4} -16 z^6 a^{-6} +20 z^6 a^{-8} -11 z^6 a^{-10} -21 z^6 a^{-12} +z^6 a^{-14} -6 z^5 a^{-3} +29 z^5 a^{-5} +81 z^5 a^{-7} +73 z^5 a^{-9} +20 z^5 a^{-11} -7 z^5 a^{-13} -z^4 a^{-2} +15 z^4 a^{-4} +26 z^4 a^{-6} +11 z^4 a^{-8} +13 z^4 a^{-10} +11 z^4 a^{-12} -z^4 a^{-14} -9 z^3 a^{-5} -26 z^3 a^{-7} -27 z^3 a^{-9} -8 z^3 a^{-11} +2 z^3 a^{-13} -8 z^2 a^{-4} -11 z^2 a^{-6} -5 z^2 a^{-8} -4 z^2 a^{-10} -2 z^2 a^{-12} -z a^{-5} +2 z a^{-7} +4 z a^{-9} +z a^{-11} +3 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. |
