K14n6331

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6331

Polynomial invariants

Jones polynomial	Data:K14n6331/Jones Polynomial
Alexander polynomial	$-2t^{3}+6t^{2}-7t+7-7t^{-1}+6t^{-2}-2t^{-3}$
Conway polynomial	Data:K14n6331/Conway Polynomial
Determinant	Data:K14n6331/Determinant
Signature	Data:K14n6331/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}+a^{10}-2z^{4}a^{8}-5z^{2}a^{8}-4a^{8}+z^{6}a^{6}+6z^{4}a^{6}+12z^{2}a^{6}+7a^{6}-2z^{6}a^{4}-9z^{4}a^{4}-12z^{2}a^{4}-6a^{4}-z^{6}a^{2}-2z^{4}a^{2}+z^{2}a^{2}+2a^{2}+z^{4}+2z^{2}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^8 \text{QuantumGroups$\grave{ }$a}^{12}-5 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+7 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-16 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+24 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-14 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+3 z \text{QuantumGroups$\grave{ }$a}^{11}+3 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-15 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+16 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-5 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+z^{11} \text{QuantumGroups$\grave{ }$a}^9-z^9 \text{QuantumGroups$\grave{ }$a}^9-23 z^7 \text{QuantumGroups$\grave{ }$a}^9+47 z^5 \text{QuantumGroups$\grave{ }$a}^9-32 z^3 \text{QuantumGroups$\grave{ }$a}^9+8 z \text{QuantumGroups$\grave{ }$a}^9+5 z^{10} \text{QuantumGroups$\grave{ }$a}^8-36 z^8 \text{QuantumGroups$\grave{ }$a}^8+64 z^6 \text{QuantumGroups$\grave{ }$a}^8-48 z^4 \text{QuantumGroups$\grave{ }$a}^8+20 z^2 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^8+3 z^{11} \text{QuantumGroups$\grave{ }$a}^7-17 z^9 \text{QuantumGroups$\grave{ }$a}^7+6 z^7 \text{QuantumGroups$\grave{ }$a}^7+36 z^5 \text{QuantumGroups$\grave{ }$a}^7-36 z^3 \text{QuantumGroups$\grave{ }$a}^7+9 z \text{QuantumGroups$\grave{ }$a}^7+z^{12} \text{QuantumGroups$\grave{ }$a}^6+2 z^{10} \text{QuantumGroups$\grave{ }$a}^6-48 z^8 \text{QuantumGroups$\grave{ }$a}^6+109 z^6 \text{QuantumGroups$\grave{ }$a}^6-94 z^4 \text{QuantumGroups$\grave{ }$a}^6+39 z^2 \text{QuantumGroups$\grave{ }$a}^6-7 \text{QuantumGroups$\grave{ }$a}^6+6 z^{11} \text{QuantumGroups$\grave{ }$a}^5-32 z^9 \text{QuantumGroups$\grave{ }$a}^5+33 z^7 \text{QuantumGroups$\grave{ }$a}^5+9 z^5 \text{QuantumGroups$\grave{ }$a}^5-21 z^3 \text{QuantumGroups$\grave{ }$a}^5+6 z \text{QuantumGroups$\grave{ }$a}^5+z^{12} \text{QuantumGroups$\grave{ }$a}^4+5 z^{10} \text{QuantumGroups$\grave{ }$a}^4-53 z^8 \text{QuantumGroups$\grave{ }$a}^4+102 z^6 \text{QuantumGroups$\grave{ }$a}^4-84 z^4 \text{QuantumGroups$\grave{ }$a}^4+35 z^2 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^4+4 z^{11} \text{QuantumGroups$\grave{ }$a}^3-16 z^9 \text{QuantumGroups$\grave{ }$a}^3+6 z^7 \text{QuantumGroups$\grave{ }$a}^3+13 z^5 \text{QuantumGroups$\grave{ }$a}^3-11 z^3 \text{QuantumGroups$\grave{ }$a}^3+3 z \text{QuantumGroups$\grave{ }$a}^3+5 z^{10} \text{QuantumGroups$\grave{ }$a}^2-24 z^8 \text{QuantumGroups$\grave{ }$a}^2+31 z^6 \text{QuantumGroups$\grave{ }$a}^2-19 z^4 \text{QuantumGroups$\grave{ }$a}^2+7 z^2 \text{QuantumGroups$\grave{ }$a}^2-2 \text{QuantumGroups$\grave{ }$a}^2+3 z^9 \text{QuantumGroups$\grave{ }$a}-14 z^7 \text{QuantumGroups$\grave{ }$a}+17 z^5 \text{QuantumGroups$\grave{ }$a}-8 z^3 \text{QuantumGroups$\grave{ }$a}+z \text{QuantumGroups$\grave{ }$a}+z^8-5 z^6+7 z^4-4 z^2+1}

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