K14n11748

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11748

Polynomial invariants

Jones polynomial	Data:K14n11748/Jones Polynomial
Alexander polynomial	$4t^{3}-21t^{2}+52t-69+52t^{-1}-21t^{-2}+4t^{-3}$
Conway polynomial	Data:K14n11748/Conway Polynomial
Determinant	Data:K14n11748/Determinant
Signature	Data:K14n11748/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}+z^{6}a^{6}-z^{4}a^{6}-4z^{2}a^{6}-3a^{6}+3z^{6}a^{4}+9z^{4}a^{4}+12z^{2}a^{4}+5a^{4}-4z^{4}a^{2}-5z^{2}a^{2}-a^{2}+z^{2}$
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}-2 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+z^3 \text{QuantumGroups$\grave{ }$a}^{11}+5 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-12 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-z^2 \text{QuantumGroups$\grave{ }$a}^{10}+11 z^9 \text{QuantumGroups$\grave{ }$a}^9-30 z^7 \text{QuantumGroups$\grave{ }$a}^9+24 z^5 \text{QuantumGroups$\grave{ }$a}^9-8 z^3 \text{QuantumGroups$\grave{ }$a}^9+2 z \text{QuantumGroups$\grave{ }$a}^9+11 z^{10} \text{QuantumGroups$\grave{ }$a}^8-22 z^8 \text{QuantumGroups$\grave{ }$a}^8+2 z^6 \text{QuantumGroups$\grave{ }$a}^8+4 z^4 \text{QuantumGroups$\grave{ }$a}^8+4 z^{11} \text{QuantumGroups$\grave{ }$a}^7+15 z^9 \text{QuantumGroups$\grave{ }$a}^7-64 z^7 \text{QuantumGroups$\grave{ }$a}^7+52 z^5 \text{QuantumGroups$\grave{ }$a}^7-14 z^3 \text{QuantumGroups$\grave{ }$a}^7-z \text{QuantumGroups$\grave{ }$a}^7+21 z^{10} \text{QuantumGroups$\grave{ }$a}^6-47 z^8 \text{QuantumGroups$\grave{ }$a}^6+21 z^6 \text{QuantumGroups$\grave{ }$a}^6+3 z^4 \text{QuantumGroups$\grave{ }$a}^6-7 z^2 \text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^6+4 z^{11} \text{QuantumGroups$\grave{ }$a}^5+13 z^9 \text{QuantumGroups$\grave{ }$a}^5-50 z^7 \text{QuantumGroups$\grave{ }$a}^5+43 z^5 \text{QuantumGroups$\grave{ }$a}^5-6 z^3 \text{QuantumGroups$\grave{ }$a}^5-5 z \text{QuantumGroups$\grave{ }$a}^5+10 z^{10} \text{QuantumGroups$\grave{ }$a}^4-17 z^8 \text{QuantumGroups$\grave{ }$a}^4+9 z^6 \text{QuantumGroups$\grave{ }$a}^4+11 z^4 \text{QuantumGroups$\grave{ }$a}^4-12 z^2 \text{QuantumGroups$\grave{ }$a}^4+5 \text{QuantumGroups$\grave{ }$a}^4+9 z^9 \text{QuantumGroups$\grave{ }$a}^3-17 z^7 \text{QuantumGroups$\grave{ }$a}^3+23 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3-3 z \text{QuantumGroups$\grave{ }$a}^3+3 z^8 \text{QuantumGroups$\grave{ }$a}^2+2 z^6 \text{QuantumGroups$\grave{ }$a}^2+5 z^4 \text{QuantumGroups$\grave{ }$a}^2-5 z^2 \text{QuantumGroups$\grave{ }$a}^2+\text{QuantumGroups$\grave{ }$a}^2+6 z^5 \text{QuantumGroups$\grave{ }$a}-3 z^3 \text{QuantumGroups$\grave{ }$a}-z \text{QuantumGroups$\grave{ }$a}+z^4-z^2}

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