K12a2
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^7-4 q^6+9 q^5-16 q^4+22 q^3-25 q^2+27 q-24+19 q^{-1} -13 q^{-2} +7 q^{-3} -3 q^{-4} + q^{-5} } |
| Alexander polynomial | |
| 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 -z^8-z^6+z^4-z^2+1} |
| Determinant | 171 |
| 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^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-11 z^4 a^{-2} +3 z^4 a^{-4} +12 z^4+a^4 z^2-9 a^2 z^2-12 z^2 a^{-2} +3 z^2 a^{-4} +16 z^2+2 a^4-6 a^2-4 a^{-2} + a^{-4} +8} |
| 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 a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+6 z^{10} a^{-2} +9 z^{10}+3 a^3 z^9+11 a z^9+22 z^9 a^{-1} +14 z^9 a^{-3} +a^4 z^8-6 a^2 z^8+12 z^8 a^{-2} +18 z^8 a^{-4} -13 z^8-14 a^3 z^7-56 a z^7-77 z^7 a^{-1} -20 z^7 a^{-3} +15 z^7 a^{-5} -5 a^4 z^6-13 a^2 z^6-75 z^6 a^{-2} -33 z^6 a^{-4} +9 z^6 a^{-6} -41 z^6+23 a^3 z^5+79 a z^5+73 z^5 a^{-1} -7 z^5 a^{-3} -20 z^5 a^{-5} +4 z^5 a^{-7} +9 a^4 z^4+39 a^2 z^4+83 z^4 a^{-2} +21 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +85 z^4-16 a^3 z^3-42 a z^3-25 z^3 a^{-1} +11 z^3 a^{-3} +9 z^3 a^{-5} -z^3 a^{-7} -7 a^4 z^2-29 a^2 z^2-35 z^2 a^{-2} -8 z^2 a^{-4} +z^2 a^{-6} -48 z^2+4 a^3 z+8 a z+4 z a^{-1} -z a^{-3} -z a^{-5} +2 a^4+6 a^2+4 a^{-2} + a^{-4} +8} |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
