K14n17910

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17910

Polynomial invariants

Jones polynomial	Data:K14n17910/Jones Polynomial
Alexander polynomial	$-t^{5}+6t^{4}-16t^{3}+25t^{2}-23t+19-23t^{-1}+25t^{-2}-16t^{-3}+6t^{-4}-t^{-5}$
Conway polynomial	Data:K14n17910/Conway Polynomial
Determinant	Data:K14n17910/Determinant
Signature	Data:K14n17910/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}-z^{6}a^{8}-6z^{4}a^{8}-7z^{2}a^{8}-2a^{8}+2z^{8}a^{6}+12z^{6}a^{6}+23z^{4}a^{6}+18z^{2}a^{6}+3a^{6}-z^{10}a^{4}-7z^{8}a^{4}-19z^{6}a^{4}-26z^{4}a^{4}-14z^{2}a^{4}-a^{4}+z^{8}a^{2}+5z^{6}a^{2}+8z^{4}a^{2}+6z^{2}a^{2}+a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+2 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+6 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+6 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^9 z^9-24 \text{QuantumGroups$\grave{ }$a}^7 z^9-49 \text{QuantumGroups$\grave{ }$a}^5 z^9-19 \text{QuantumGroups$\grave{ }$a}^3 z^9+4 \text{QuantumGroups$\grave{ }$a} z^9-30 \text{QuantumGroups$\grave{ }$a}^8 z^8-68 \text{QuantumGroups$\grave{ }$a}^6 z^8-69 \text{QuantumGroups$\grave{ }$a}^4 z^8-30 \text{QuantumGroups$\grave{ }$a}^2 z^8+z^8-8 \text{QuantumGroups$\grave{ }$a}^9 z^7+23 \text{QuantumGroups$\grave{ }$a}^7 z^7+49 \text{QuantumGroups$\grave{ }$a}^5 z^7+\text{QuantumGroups$\grave{ }$a}^3 z^7-17 \text{QuantumGroups$\grave{ }$a} z^7+\text{QuantumGroups$\grave{ }$a}^{10} z^6+56 \text{QuantumGroups$\grave{ }$a}^8 z^6+131 \text{QuantumGroups$\grave{ }$a}^6 z^6+117 \text{QuantumGroups$\grave{ }$a}^4 z^6+37 \text{QuantumGroups$\grave{ }$a}^2 z^6-4 z^6+15 \text{QuantumGroups$\grave{ }$a}^9 z^5+12 \text{QuantumGroups$\grave{ }$a}^7 z^5+23 \text{QuantumGroups$\grave{ }$a}^3 z^5+20 \text{QuantumGroups$\grave{ }$a} z^5-42 \text{QuantumGroups$\grave{ }$a}^8 z^4-98 \text{QuantumGroups$\grave{ }$a}^6 z^4-82 \text{QuantumGroups$\grave{ }$a}^4 z^4-22 \text{QuantumGroups$\grave{ }$a}^2 z^4+4 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-10 \text{QuantumGroups$\grave{ }$a}^9 z^3-22 \text{QuantumGroups$\grave{ }$a}^7 z^3-17 \text{QuantumGroups$\grave{ }$a}^5 z^3-15 \text{QuantumGroups$\grave{ }$a}^3 z^3-9 \text{QuantumGroups$\grave{ }$a} z^3+14 \text{QuantumGroups$\grave{ }$a}^8 z^2+29 \text{QuantumGroups$\grave{ }$a}^6 z^2+24 \text{QuantumGroups$\grave{ }$a}^4 z^2+8 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2-\text{QuantumGroups$\grave{ }$a}^{11} z+3 \text{QuantumGroups$\grave{ }$a}^9 z+6 \text{QuantumGroups$\grave{ }$a}^7 z+4 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-2 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2}

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