K14n6358

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6358

Polynomial invariants

Jones polynomial	Data:K14n6358/Jones Polynomial
Alexander polynomial	$-2t^{3}+10t^{2}-22t+29-22t^{-1}+10t^{-2}-2t^{-3}$
Conway polynomial	Data:K14n6358/Conway Polynomial
Determinant	Data:K14n6358/Determinant
Signature	Data:K14n6358/Signature
HOMFLY-PT polynomial	$-z^{2}a^{8}-a^{8}+2z^{4}a^{6}+4z^{2}a^{6}+2a^{6}-z^{6}a^{4}-2z^{4}a^{4}-z^{2}a^{4}-z^{6}a^{2}-3z^{4}a^{2}-4z^{2}a^{2}-2a^{2}+z^{4}+2z^{2}+2$
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 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+\text{QuantumGroups$\grave{ }$a}^4 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+6 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+3 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+3 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-14 \text{QuantumGroups$\grave{ }$a}^7 z^9-26 \text{QuantumGroups$\grave{ }$a}^5 z^9-8 \text{QuantumGroups$\grave{ }$a}^3 z^9+3 \text{QuantumGroups$\grave{ }$a} z^9-18 \text{QuantumGroups$\grave{ }$a}^8 z^8-37 \text{QuantumGroups$\grave{ }$a}^6 z^8-36 \text{QuantumGroups$\grave{ }$a}^4 z^8-16 \text{QuantumGroups$\grave{ }$a}^2 z^8+z^8-6 \text{QuantumGroups$\grave{ }$a}^9 z^7+14 \text{QuantumGroups$\grave{ }$a}^7 z^7+23 \text{QuantumGroups$\grave{ }$a}^5 z^7-11 \text{QuantumGroups$\grave{ }$a}^3 z^7-14 \text{QuantumGroups$\grave{ }$a} z^7+36 \text{QuantumGroups$\grave{ }$a}^8 z^6+74 \text{QuantumGroups$\grave{ }$a}^6 z^6+53 \text{QuantumGroups$\grave{ }$a}^4 z^6+10 \text{QuantumGroups$\grave{ }$a}^2 z^6-5 z^6+12 \text{QuantumGroups$\grave{ }$a}^9 z^5+8 \text{QuantumGroups$\grave{ }$a}^7 z^5+6 \text{QuantumGroups$\grave{ }$a}^5 z^5+28 \text{QuantumGroups$\grave{ }$a}^3 z^5+18 \text{QuantumGroups$\grave{ }$a} z^5-29 \text{QuantumGroups$\grave{ }$a}^8 z^4-56 \text{QuantumGroups$\grave{ }$a}^6 z^4-26 \text{QuantumGroups$\grave{ }$a}^4 z^4+9 \text{QuantumGroups$\grave{ }$a}^2 z^4+8 z^4-9 \text{QuantumGroups$\grave{ }$a}^9 z^3-14 \text{QuantumGroups$\grave{ }$a}^7 z^3-9 \text{QuantumGroups$\grave{ }$a}^5 z^3-13 \text{QuantumGroups$\grave{ }$a}^3 z^3-9 \text{QuantumGroups$\grave{ }$a} z^3+9 \text{QuantumGroups$\grave{ }$a}^8 z^2+18 \text{QuantumGroups$\grave{ }$a}^6 z^2+5 \text{QuantumGroups$\grave{ }$a}^4 z^2-10 \text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z+3 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^2+2}

Modifying This Page

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