K14n11713

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11713

Polynomial invariants

Jones polynomial	Data:K14n11713/Jones Polynomial
Alexander polynomial	$2t^{2}-8t+13-8t^{-1}+2t^{-2}$
Conway polynomial	Data:K14n11713/Conway Polynomial
Determinant	Data:K14n11713/Determinant
Signature	Data:K14n11713/Signature
HOMFLY-PT polynomial	$a^{2}z^{6}-z^{6}a^{-2}-a^{4}z^{4}+5a^{2}z^{4}-4z^{4}a^{-2}+z^{4}a^{-4}+z^{4}-3a^{4}z^{2}+6a^{2}z^{2}-6z^{2}a^{-2}+2z^{2}a^{-4}+z^{2}-a^{4}+2a^{2}-2a^{-2}+a^{-4}+1$
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 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a} z^{11}+2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10} $Failed^{-1} +z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-7 \text{QuantumGroups$\grave{ }$a}^3 z^9-9 \text{QuantumGroups$\grave{ }$a} z^9+2 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} -15 \text{QuantumGroups$\grave{ }$a}^4 z^8-18 \text{QuantumGroups$\grave{ }$a}^2 z^8-z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -8 z^8-7 \text{QuantumGroups$\grave{ }$a}^5 z^7+13 \text{QuantumGroups$\grave{ }$a}^3 z^7+24 \text{QuantumGroups$\grave{ }$a} z^7-9 z^7 $Failed^{-1} -10 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +36 \text{QuantumGroups$\grave{ }$a}^4 z^6+48 \text{QuantumGroups$\grave{ }$a}^2 z^6-9 z^6 $Failed^{-1} -14 z^6 $Failed^{-1} +z^6 $Failed^{-1} +18 z^6+15 \text{QuantumGroups$\grave{ }$a}^5 z^5-6 \text{QuantumGroups$\grave{ }$a}^3 z^5-26 \text{QuantumGroups$\grave{ }$a} z^5+11 z^5 $Failed^{-1} +6 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} -33 \text{QuantumGroups$\grave{ }$a}^4 z^4-49 \text{QuantumGroups$\grave{ }$a}^2 z^4+19 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -11 z^4-10 \text{QuantumGroups$\grave{ }$a}^5 z^3+15 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^4 z^2+19 \text{QuantumGroups$\grave{ }$a}^2 z^2-12 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +z^2 $Failed^{-1} +z^2+\text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -2 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} + $Failed^{-1} +1}

Modifying This Page

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