K14n12263

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12263

Polynomial invariants

Jones polynomial	Data:K14n12263/Jones Polynomial
Alexander polynomial	$t^{4}-4t^{3}+2t^{2}+13t-23+13t^{-1}+2t^{-2}-4t^{-3}+t^{-4}$
Conway polynomial	Data:K14n12263/Conway Polynomial
Determinant	Data:K14n12263/Determinant
Signature	Data:K14n12263/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}-2z^{4}a^{8}-z^{2}a^{8}-2z^{4}a^{6}-z^{2}a^{6}+z^{8}a^{4}+5z^{6}a^{4}+5z^{4}a^{4}+z^{2}a^{4}-a^{4}-z^{6}a^{2}-3z^{4}a^{2}+z^{2}a^{2}+2a^{2}$
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^8 \text{QuantumGroups$\grave{ }$a}^{12}-4 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-z^2 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-18 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+21 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-9 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+z \text{QuantumGroups$\grave{ }$a}^{11}+6 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-28 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+32 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-13 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+4 z^{11} \text{QuantumGroups$\grave{ }$a}^9-15 z^9 \text{QuantumGroups$\grave{ }$a}^9-2 z^7 \text{QuantumGroups$\grave{ }$a}^9+27 z^5 \text{QuantumGroups$\grave{ }$a}^9-16 z^3 \text{QuantumGroups$\grave{ }$a}^9+3 z \text{QuantumGroups$\grave{ }$a}^9+z^{12} \text{QuantumGroups$\grave{ }$a}^8+3 z^{10} \text{QuantumGroups$\grave{ }$a}^8-41 z^8 \text{QuantumGroups$\grave{ }$a}^8+69 z^6 \text{QuantumGroups$\grave{ }$a}^8-35 z^4 \text{QuantumGroups$\grave{ }$a}^8+5 z^2 \text{QuantumGroups$\grave{ }$a}^8+5 z^{11} \text{QuantumGroups$\grave{ }$a}^7-27 z^9 \text{QuantumGroups$\grave{ }$a}^7+24 z^7 \text{QuantumGroups$\grave{ }$a}^7+15 z^5 \text{QuantumGroups$\grave{ }$a}^7-17 z^3 \text{QuantumGroups$\grave{ }$a}^7+3 z \text{QuantumGroups$\grave{ }$a}^7+z^{12} \text{QuantumGroups$\grave{ }$a}^6-2 z^{10} \text{QuantumGroups$\grave{ }$a}^6-19 z^8 \text{QuantumGroups$\grave{ }$a}^6+37 z^6 \text{QuantumGroups$\grave{ }$a}^6-14 z^4 \text{QuantumGroups$\grave{ }$a}^6-z^2 \text{QuantumGroups$\grave{ }$a}^6+z^{11} \text{QuantumGroups$\grave{ }$a}^5-4 z^9 \text{QuantumGroups$\grave{ }$a}^5-12 z^7 \text{QuantumGroups$\grave{ }$a}^5+29 z^5 \text{QuantumGroups$\grave{ }$a}^5-16 z^3 \text{QuantumGroups$\grave{ }$a}^5+2 z \text{QuantumGroups$\grave{ }$a}^5+z^{10} \text{QuantumGroups$\grave{ }$a}^4-3 z^8 \text{QuantumGroups$\grave{ }$a}^4-13 z^6 \text{QuantumGroups$\grave{ }$a}^4+18 z^4 \text{QuantumGroups$\grave{ }$a}^4-3 z^2 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^4+4 z^9 \text{QuantumGroups$\grave{ }$a}^3-19 z^7 \text{QuantumGroups$\grave{ }$a}^3+17 z^5 \text{QuantumGroups$\grave{ }$a}^3-5 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+4 z^8 \text{QuantumGroups$\grave{ }$a}^2-17 z^6 \text{QuantumGroups$\grave{ }$a}^2+14 z^4 \text{QuantumGroups$\grave{ }$a}^2-2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-3 z^5 \text{QuantumGroups$\grave{ }$a}+z^3 \text{QuantumGroups$\grave{ }$a}}

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