K14n17813

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17813

Polynomial invariants

Jones polynomial	Data:K14n17813/Jones Polynomial
Alexander polynomial	$t^{4}-6t^{3}+11t^{2}-5t-1-5t^{-1}+11t^{-2}-6t^{-3}+t^{-4}$
Conway polynomial	Data:K14n17813/Conway Polynomial
Determinant	Data:K14n17813/Determinant
Signature	Data:K14n17813/Signature
HOMFLY-PT polynomial	$-a^{10}+3z^{2}a^{8}+a^{8}-z^{6}a^{6}-5z^{4}a^{6}-3z^{2}a^{6}+a^{6}+z^{8}a^{4}+5z^{6}a^{4}+7z^{4}a^{4}+5z^{2}a^{4}-2z^{6}a^{2}-8z^{4}a^{2}-7z^{2}a^{2}-2a^{2}+z^{4}+3z^{2}+2$
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 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-5 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+6 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-2 z \text{QuantumGroups$\grave{ }$a}^{11}+2 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-10 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+11 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-4 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+2 z^9 \text{QuantumGroups$\grave{ }$a}^9-11 z^7 \text{QuantumGroups$\grave{ }$a}^9+12 z^5 \text{QuantumGroups$\grave{ }$a}^9-2 z^3 \text{QuantumGroups$\grave{ }$a}^9-z \text{QuantumGroups$\grave{ }$a}^9+z^{10} \text{QuantumGroups$\grave{ }$a}^8-7 z^8 \text{QuantumGroups$\grave{ }$a}^8+10 z^6 \text{QuantumGroups$\grave{ }$a}^8-6 z^4 \text{QuantumGroups$\grave{ }$a}^8+2 z^2 \text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^8+z^9 \text{QuantumGroups$\grave{ }$a}^7-11 z^7 \text{QuantumGroups$\grave{ }$a}^7+19 z^5 \text{QuantumGroups$\grave{ }$a}^7-10 z^3 \text{QuantumGroups$\grave{ }$a}^7-z \text{QuantumGroups$\grave{ }$a}^7+2 z^{10} \text{QuantumGroups$\grave{ }$a}^6-13 z^8 \text{QuantumGroups$\grave{ }$a}^6+21 z^6 \text{QuantumGroups$\grave{ }$a}^6-19 z^4 \text{QuantumGroups$\grave{ }$a}^6+11 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+z^{11} \text{QuantumGroups$\grave{ }$a}^5-2 z^9 \text{QuantumGroups$\grave{ }$a}^5-9 z^7 \text{QuantumGroups$\grave{ }$a}^5+11 z^5 \text{QuantumGroups$\grave{ }$a}^5+3 z^3 \text{QuantumGroups$\grave{ }$a}^5-6 z \text{QuantumGroups$\grave{ }$a}^5+4 z^{10} \text{QuantumGroups$\grave{ }$a}^4-15 z^8 \text{QuantumGroups$\grave{ }$a}^4+4 z^6 \text{QuantumGroups$\grave{ }$a}^4+10 z^4 \text{QuantumGroups$\grave{ }$a}^4-z^2 \text{QuantumGroups$\grave{ }$a}^4+z^{11} \text{QuantumGroups$\grave{ }$a}^3+2 z^9 \text{QuantumGroups$\grave{ }$a}^3-24 z^7 \text{QuantumGroups$\grave{ }$a}^3+28 z^5 \text{QuantumGroups$\grave{ }$a}^3-3 z^3 \text{QuantumGroups$\grave{ }$a}^3-4 z \text{QuantumGroups$\grave{ }$a}^3+3 z^{10} \text{QuantumGroups$\grave{ }$a}^2-10 z^8 \text{QuantumGroups$\grave{ }$a}^2-2 z^6 \text{QuantumGroups$\grave{ }$a}^2+21 z^4 \text{QuantumGroups$\grave{ }$a}^2-13 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}+19 z^5 \text{QuantumGroups$\grave{ }$a}-8 z^3 \text{QuantumGroups$\grave{ }$a}+z^8-5 z^6+9 z^4-7 z^2+2}

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