K14a5378

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5378

Polynomial invariants

Jones polynomial	Data:K14a5378/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+54t^{2}-94t+111-94t^{-1}+54t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5378/Conway Polynomial
Determinant	Data:K14a5378/Determinant
Signature	Data:K14a5378/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+2z^{2}a^{10}-2z^{6}a^{8}-5z^{4}a^{8}-3z^{2}a^{8}-a^{8}+z^{8}a^{6}+2z^{6}a^{6}+2z^{4}a^{6}+4z^{2}a^{6}+2a^{6}+z^{8}a^{4}+z^{6}a^{4}-3z^{4}a^{4}-3z^{2}a^{4}-a^{4}-2z^{6}a^{2}-4z^{4}a^{2}-z^{2}a^{2}+z^{4}+2z^{2}+1$
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^6 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+z^2 \text{QuantumGroups$\grave{ }$a}^{14}+4 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-8 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+5 z^3 \text{QuantumGroups$\grave{ }$a}^{13}-z \text{QuantumGroups$\grave{ }$a}^{13}+8 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-13 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+12 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-18 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+6 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+2 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-2 z \text{QuantumGroups$\grave{ }$a}^{11}+15 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-27 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+24 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-15 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+5 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+14 z^{11} \text{QuantumGroups$\grave{ }$a}^9-22 z^9 \text{QuantumGroups$\grave{ }$a}^9+9 z^7 \text{QuantumGroups$\grave{ }$a}^9+9 z^5 \text{QuantumGroups$\grave{ }$a}^9-6 z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+8 z^{12} \text{QuantumGroups$\grave{ }$a}^8+7 z^{10} \text{QuantumGroups$\grave{ }$a}^8-65 z^8 \text{QuantumGroups$\grave{ }$a}^8+106 z^6 \text{QuantumGroups$\grave{ }$a}^8-68 z^4 \text{QuantumGroups$\grave{ }$a}^8+19 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+26 z^{11} \text{QuantumGroups$\grave{ }$a}^7-87 z^9 \text{QuantumGroups$\grave{ }$a}^7+95 z^7 \text{QuantumGroups$\grave{ }$a}^7-32 z^5 \text{QuantumGroups$\grave{ }$a}^7-3 z^3 \text{QuantumGroups$\grave{ }$a}^7+2 z \text{QuantumGroups$\grave{ }$a}^7+15 z^{12} \text{QuantumGroups$\grave{ }$a}^6-17 z^{10} \text{QuantumGroups$\grave{ }$a}^6-53 z^8 \text{QuantumGroups$\grave{ }$a}^6+113 z^6 \text{QuantumGroups$\grave{ }$a}^6-80 z^4 \text{QuantumGroups$\grave{ }$a}^6+23 z^2 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^6+2 z^{13} \text{QuantumGroups$\grave{ }$a}^5+22 z^{11} \text{QuantumGroups$\grave{ }$a}^5-81 z^9 \text{QuantumGroups$\grave{ }$a}^5+85 z^7 \text{QuantumGroups$\grave{ }$a}^5-37 z^5 \text{QuantumGroups$\grave{ }$a}^5+4 z^3 \text{QuantumGroups$\grave{ }$a}^5+7 z^{12} \text{QuantumGroups$\grave{ }$a}^4-z^{10} \text{QuantumGroups$\grave{ }$a}^4-48 z^8 \text{QuantumGroups$\grave{ }$a}^4+68 z^6 \text{QuantumGroups$\grave{ }$a}^4-44 z^4 \text{QuantumGroups$\grave{ }$a}^4+14 z^2 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^4+10 z^{11} \text{QuantumGroups$\grave{ }$a}^3-24 z^9 \text{QuantumGroups$\grave{ }$a}^3+7 z^7 \text{QuantumGroups$\grave{ }$a}^3+6 z^5 \text{QuantumGroups$\grave{ }$a}^3-3 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+8 z^{10} \text{QuantumGroups$\grave{ }$a}^2-24 z^8 \text{QuantumGroups$\grave{ }$a}^2+19 z^6 \text{QuantumGroups$\grave{ }$a}^2-4 z^4 \text{QuantumGroups$\grave{ }$a}^2+4 z^9 \text{QuantumGroups$\grave{ }$a}-14 z^7 \text{QuantumGroups$\grave{ }$a}+16 z^5 \text{QuantumGroups$\grave{ }$a}-7 z^3 \text{QuantumGroups$\grave{ }$a}+z \text{QuantumGroups$\grave{ }$a}+z^8-4 z^6+6 z^4-4 z^2+1}

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