K12a1101

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+5-12 q^{-1} +21 q^{-2} -29 q^{-3} +36 q^{-4} -37 q^{-5} +35 q^{-6} -28 q^{-7} +18 q^{-8} -10 q^{-9} +4 q^{-10} - q^{-11} }
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^4-11 t^3+30 t^2-48 t+55-48 t^{-1} +30 t^{-2} -11 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+5 z^6+4 z^4+5 z^2+1}
Determinant 237
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^8-3 z^4 a^8-3 z^2 a^8-2 a^8+z^8 a^6+4 z^6 a^6+7 z^4 a^6+7 z^2 a^6+2 a^6+z^8 a^4+3 z^6 a^4+2 z^4 a^4+z^2 a^4+a^4-z^6 a^2-2 z^4 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 z^5 a^{13}-z^3 a^{13}+4 z^6 a^{12}-4 z^4 a^{12}+9 z^7 a^{11}-12 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+14 z^8 a^{10}-23 z^6 a^{10}+17 z^4 a^{10}-5 z^2 a^{10}+16 z^9 a^9-29 z^7 a^9+22 z^5 a^9-5 z^3 a^9+2 z a^9+12 z^{10} a^8-14 z^8 a^8-6 z^6 a^8+15 z^4 a^8-z^2 a^8-2 a^8+4 z^{11} a^7+19 z^9 a^7-71 z^7 a^7+75 z^5 a^7-32 z^3 a^7+6 z a^7+22 z^{10} a^6-53 z^8 a^6+35 z^6 a^6-7 z^4 a^6+z^2 a^6-2 a^6+4 z^{11} a^5+13 z^9 a^5-61 z^7 a^5+61 z^5 a^5-25 z^3 a^5+3 z a^5+10 z^{10} a^4-20 z^8 a^4+z^6 a^4+8 z^4 a^4-4 z^2 a^4+a^4+10 z^9 a^3-27 z^7 a^3+19 z^5 a^3-4 z^3 a^3+z a^3+5 z^8 a^2-13 z^6 a^2+9 z^4 a^2-z^2 a^2+z^7 a-2 z^5 a+z^3 a}



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.