K14a5851

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5851

Polynomial invariants

Jones polynomial	Data:K14a5851/Jones Polynomial
Alexander polynomial	$2t^{4}-16t^{3}+53t^{2}-92t+107-92t^{-1}+53t^{-2}-16t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5851/Conway Polynomial
Determinant	Data:K14a5851/Determinant
Signature	Data:K14a5851/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-2a^{12}+3z^{4}a^{10}+7z^{2}a^{10}+3a^{10}-3z^{6}a^{8}-7z^{4}a^{8}-4z^{2}a^{8}-2a^{8}+z^{8}a^{6}+z^{6}a^{6}-2z^{4}a^{6}+a^{6}+z^{8}a^{4}+3z^{6}a^{4}+5z^{4}a^{4}+6z^{2}a^{4}+a^{4}-z^{6}a^{2}-2z^{4}a^{2}$
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}^{15}-4 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+5 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-2 z \text{QuantumGroups$\grave{ }$a}^{15}+3 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-9 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+7 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-z^2 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-16 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+14 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-8 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+3 z \text{QuantumGroups$\grave{ }$a}^{13}+9 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-24 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+29 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-24 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+10 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-2 \text{QuantumGroups$\grave{ }$a}^{12}+9 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-17 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+9 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+7 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-12 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+3 z \text{QuantumGroups$\grave{ }$a}^{11}+6 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-27 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+53 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-44 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+16 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-3 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+16 z^{11} \text{QuantumGroups$\grave{ }$a}^9-55 z^9 \text{QuantumGroups$\grave{ }$a}^9+84 z^7 \text{QuantumGroups$\grave{ }$a}^9-65 z^5 \text{QuantumGroups$\grave{ }$a}^9+25 z^3 \text{QuantumGroups$\grave{ }$a}^9-3 z \text{QuantumGroups$\grave{ }$a}^9+14 z^{12} \text{QuantumGroups$\grave{ }$a}^8-25 z^{10} \text{QuantumGroups$\grave{ }$a}^8+7 z^8 \text{QuantumGroups$\grave{ }$a}^8+33 z^6 \text{QuantumGroups$\grave{ }$a}^8-41 z^4 \text{QuantumGroups$\grave{ }$a}^8+18 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+21 z^{11} \text{QuantumGroups$\grave{ }$a}^7-72 z^9 \text{QuantumGroups$\grave{ }$a}^7+100 z^7 \text{QuantumGroups$\grave{ }$a}^7-66 z^5 \text{QuantumGroups$\grave{ }$a}^7+18 z^3 \text{QuantumGroups$\grave{ }$a}^7-z \text{QuantumGroups$\grave{ }$a}^7+8 z^{12} \text{QuantumGroups$\grave{ }$a}^6-z^{10} \text{QuantumGroups$\grave{ }$a}^6-36 z^8 \text{QuantumGroups$\grave{ }$a}^6+56 z^6 \text{QuantumGroups$\grave{ }$a}^6-34 z^4 \text{QuantumGroups$\grave{ }$a}^6+8 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+14 z^{11} \text{QuantumGroups$\grave{ }$a}^5-29 z^9 \text{QuantumGroups$\grave{ }$a}^5+11 z^7 \text{QuantumGroups$\grave{ }$a}^5+12 z^5 \text{QuantumGroups$\grave{ }$a}^5-10 z^3 \text{QuantumGroups$\grave{ }$a}^5+15 z^{10} \text{QuantumGroups$\grave{ }$a}^4-38 z^8 \text{QuantumGroups$\grave{ }$a}^4+25 z^6 \text{QuantumGroups$\grave{ }$a}^4+z^4 \text{QuantumGroups$\grave{ }$a}^4-5 z^2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^4+11 z^9 \text{QuantumGroups$\grave{ }$a}^3-30 z^7 \text{QuantumGroups$\grave{ }$a}^3+22 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-13 z^6 \text{QuantumGroups$\grave{ }$a}^2+7 z^4 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a}}

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