K12a1096
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^4+5 q^3-12 q^2+22 q-32+40 q^{-1} -43 q^{-2} +41 q^{-3} -33 q^{-4} +23 q^{-5} -13 q^{-6} +5 q^{-7} - q^{-8} } |
| 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 -t^4+8 t^3-29 t^2+60 t-75+60 t^{-1} -29 t^{-2} +8 t^{-3} - 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 -z^8-z^4+1} |
| Determinant | 271 |
| 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^2 z^8+2 a^4 z^6-4 a^2 z^6+2 z^6-a^6 z^4+5 a^4 z^4-9 a^2 z^4-z^4 a^{-2} +5 z^4-a^6 z^2+6 a^4 z^2-9 a^2 z^2-z^2 a^{-2} +5 z^2-a^6+3 a^4-3 a^2+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 4 a^3 z^{11}+4 a z^{11}+14 a^4 z^{10}+24 a^2 z^{10}+10 z^{10}+22 a^5 z^9+31 a^3 z^9+19 a z^9+10 z^9 a^{-1} +21 a^6 z^8-41 a^2 z^8+5 z^8 a^{-2} -15 z^8+13 a^7 z^7-30 a^5 z^7-89 a^3 z^7-73 a z^7-26 z^7 a^{-1} +z^7 a^{-3} +5 a^8 z^6-30 a^6 z^6-45 a^4 z^6-9 a^2 z^6-13 z^6 a^{-2} -12 z^6+a^9 z^5-13 a^7 z^5+8 a^5 z^5+67 a^3 z^5+67 a z^5+20 z^5 a^{-1} -2 z^5 a^{-3} -2 a^8 z^4+16 a^6 z^4+43 a^4 z^4+40 a^2 z^4+10 z^4 a^{-2} +25 z^4+4 a^7 z^3+2 a^5 z^3-16 a^3 z^3-20 a z^3-5 z^3 a^{-1} +z^3 a^{-3} -5 a^6 z^2-16 a^4 z^2-20 a^2 z^2-2 z^2 a^{-2} -11 z^2-a^7 z-a^5 z+a^3 z+a z+a^6+3 a^4+3 a^2+2} |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
