K14n5739

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5739

Polynomial invariants

Jones polynomial	Data:K14n5739/Jones Polynomial
Alexander polynomial	$-t^{3}+3t^{2}-2t+1-2t^{-1}+3t^{-2}-t^{-3}$
Conway polynomial	Data:K14n5739/Conway Polynomial
Determinant	Data:K14n5739/Determinant
Signature	Data:K14n5739/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}+a^{10}-2z^{4}a^{8}-5z^{2}a^{8}-4a^{8}+z^{6}a^{6}+5z^{4}a^{6}+9z^{2}a^{6}+5a^{6}-z^{6}a^{4}-4z^{4}a^{4}-4z^{2}a^{4}-2a^{4}-z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}+z^{4}+2z^{2}+1$
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}+25 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-15 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+3 z \text{QuantumGroups$\grave{ }$a}^{11}+3 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-14 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+13 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+z^{11} \text{QuantumGroups$\grave{ }$a}^9-25 z^7 \text{QuantumGroups$\grave{ }$a}^9+49 z^5 \text{QuantumGroups$\grave{ }$a}^9-32 z^3 \text{QuantumGroups$\grave{ }$a}^9+8 z \text{QuantumGroups$\grave{ }$a}^9+4 z^{10} \text{QuantumGroups$\grave{ }$a}^8-26 z^8 \text{QuantumGroups$\grave{ }$a}^8+42 z^6 \text{QuantumGroups$\grave{ }$a}^8-31 z^4 \text{QuantumGroups$\grave{ }$a}^8+16 z^2 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^8+2 z^{11} \text{QuantumGroups$\grave{ }$a}^7-13 z^9 \text{QuantumGroups$\grave{ }$a}^7+14 z^7 \text{QuantumGroups$\grave{ }$a}^7+4 z^5 \text{QuantumGroups$\grave{ }$a}^7-13 z^3 \text{QuantumGroups$\grave{ }$a}^7+5 z \text{QuantumGroups$\grave{ }$a}^7+z^{12} \text{QuantumGroups$\grave{ }$a}^6-4 z^{10} \text{QuantumGroups$\grave{ }$a}^6-10 z^8 \text{QuantumGroups$\grave{ }$a}^6+38 z^6 \text{QuantumGroups$\grave{ }$a}^6-44 z^4 \text{QuantumGroups$\grave{ }$a}^6+23 z^2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^6+4 z^{11} \text{QuantumGroups$\grave{ }$a}^5-26 z^9 \text{QuantumGroups$\grave{ }$a}^5+45 z^7 \text{QuantumGroups$\grave{ }$a}^5-32 z^5 \text{QuantumGroups$\grave{ }$a}^5+8 z^3 \text{QuantumGroups$\grave{ }$a}^5+z^{12} \text{QuantumGroups$\grave{ }$a}^4-z^{10} \text{QuantumGroups$\grave{ }$a}^4-19 z^8 \text{QuantumGroups$\grave{ }$a}^4+39 z^6 \text{QuantumGroups$\grave{ }$a}^4-29 z^4 \text{QuantumGroups$\grave{ }$a}^4+11 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+3 z^{11} \text{QuantumGroups$\grave{ }$a}^3-13 z^9 \text{QuantumGroups$\grave{ }$a}^3+7 z^7 \text{QuantumGroups$\grave{ }$a}^3+8 z^5 \text{QuantumGroups$\grave{ }$a}^3-5 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+4 z^{10} \text{QuantumGroups$\grave{ }$a}^2-19 z^8 \text{QuantumGroups$\grave{ }$a}^2+20 z^6 \text{QuantumGroups$\grave{ }$a}^2-2 z^4 \text{QuantumGroups$\grave{ }$a}^2-3 z^2 \text{QuantumGroups$\grave{ }$a}^2+3 z^9 \text{QuantumGroups$\grave{ }$a}-15 z^7 \text{QuantumGroups$\grave{ }$a}+20 z^5 \text{QuantumGroups$\grave{ }$a}-9 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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