K14a5116

Knot presentations

Dowker-Thistlethwaite code

4 10 18 16 2 22 20 8 6 24 26 28 14 12

Notes on presentations of K14a5116

Polynomial invariants

Jones polynomial	Data:K14a5116/Jones Polynomial
Alexander polynomial	$-2t^{4}+15t^{3}-54t^{2}+115t-147+115t^{-1}-54t^{-2}+15t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a5116/Conway Polynomial
Determinant	Data:K14a5116/Determinant
Signature	Data:K14a5116/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-3z^{6}a^{-2}-2z^{6}a^{-4}+3z^{6}a^{-6}+z^{6}-5z^{4}a^{-2}-5z^{4}a^{-4}+7z^{4}a^{-6}-3z^{4}a^{-8}+2z^{4}-7z^{2}a^{-4}+10z^{2}a^{-6}-4z^{2}a^{-8}+z^{2}a^{-10}+2z^{2}+3a^{-2}-5a^{-4}+5a^{-6}-2a^{-8}$
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 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +12 z^{12} $Failed^{-1} +22 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +21 z^{11} $Failed^{-1} +35 z^{11} $Failed^{-1} +28 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +24 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} -40 z^{10} $Failed^{-1} -10 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} +21 z^9 $Failed^{-1} -27 z^9 $Failed^{-1} -126 z^9 $Failed^{-1} -128 z^9 $Failed^{-1} -45 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -34 z^8 $Failed^{-1} -62 z^8 $Failed^{-1} -35 z^8 $Failed^{-1} -62 z^8 $Failed^{-1} -41 z^8 $Failed^{-1} +z^8 $Failed^{-1} +13 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-33 z^7 $Failed^{-1} +7 z^7 $Failed^{-1} +170 z^7 $Failed^{-1} +178 z^7 $Failed^{-1} +35 z^7 $Failed^{-1} -18 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+9 z^6 $Failed^{-1} +89 z^6 $Failed^{-1} +143 z^6 $Failed^{-1} +133 z^6 $Failed^{-1} +46 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -20 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+17 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} -112 z^5 $Failed^{-1} -92 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} -72 z^4 $Failed^{-1} -128 z^4 $Failed^{-1} -93 z^4 $Failed^{-1} -22 z^4 $Failed^{-1} +z^4 $Failed^{-1} +12 z^4+2 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} +30 z^3 $Failed^{-1} +9 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +6 z^2 $Failed^{-1} +32 z^2 $Failed^{-1} +43 z^2 $Failed^{-1} +24 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -3 z^2-z $Failed^{-1} -z $Failed^{-1} +3 z $Failed^{-1} +3 z $Failed^{-1} -3 $Failed^{-1} -5 $Failed^{-1} -5 $Failed^{-1} -2 $Failed^{-1} }

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.