K14n11085

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11085

Polynomial invariants

Jones polynomial	Data:K14n11085/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-20t^{2}+39t-47+39t^{-1}-20t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11085/Conway Polynomial
Determinant	Data:K14n11085/Determinant
Signature	Data:K14n11085/Signature
HOMFLY-PT polynomial	$-a^{2}z^{8}+a^{4}z^{6}-4a^{2}z^{6}+z^{6}+a^{4}z^{4}-6a^{2}z^{4}+z^{4}+a^{6}z^{2}-a^{4}z^{2}-3a^{2}z^{2}+z^{2}a^{-2}-z^{2}+a^{6}-a^{4}+a^{-2}$
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 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a} z^{11}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+2 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^5 z^9+16 \text{QuantumGroups$\grave{ }$a}^3 z^9+10 \text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8+5 \text{QuantumGroups$\grave{ }$a}^4 z^8+7 \text{QuantumGroups$\grave{ }$a}^2 z^8+6 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-3 \text{QuantumGroups$\grave{ }$a}^5 z^7-26 \text{QuantumGroups$\grave{ }$a}^3 z^7-17 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^6-15 \text{QuantumGroups$\grave{ }$a}^4 z^6-43 \text{QuantumGroups$\grave{ }$a}^2 z^6+3 z^6 $Failed^{-1} -20 z^6+7 \text{QuantumGroups$\grave{ }$a}^7 z^5-\text{QuantumGroups$\grave{ }$a}^5 z^5-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-8 \text{QuantumGroups$\grave{ }$a} z^5-14 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^8 z^4-6 \text{QuantumGroups$\grave{ }$a}^6 z^4+3 \text{QuantumGroups$\grave{ }$a}^4 z^4+28 \text{QuantumGroups$\grave{ }$a}^2 z^4-6 z^4 $Failed^{-1} +10 z^4-5 \text{QuantumGroups$\grave{ }$a}^7 z^3+3 \text{QuantumGroups$\grave{ }$a}^5 z^3+10 \text{QuantumGroups$\grave{ }$a}^3 z^3+11 \text{QuantumGroups$\grave{ }$a} z^3+9 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^2+4 \text{QuantumGroups$\grave{ }$a}^6 z^2+4 \text{QuantumGroups$\grave{ }$a}^4 z^2-5 \text{QuantumGroups$\grave{ }$a}^2 z^2+4 z^2 $Failed^{-1} +z^2+\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4- $Failed^{-1} }

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