K14a5284

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5284

Polynomial invariants

Jones polynomial	Data:K14a5284/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+45t^{2}-78t+93-78t^{-1}+45t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5284/Conway Polynomial
Determinant	Data:K14a5284/Determinant
Signature	Data:K14a5284/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+2z^{2}a^{10}+a^{10}-2z^{6}a^{8}-5z^{4}a^{8}-4z^{2}a^{8}-2a^{8}+z^{8}a^{6}+2z^{6}a^{6}-z^{2}a^{6}+z^{8}a^{4}+3z^{6}a^{4}+5z^{4}a^{4}+7z^{2}a^{4}+3a^{4}-2z^{6}a^{2}-7z^{4}a^{2}-8z^{2}a^{2}-3a^{2}+z^{4}+3z^{2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\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}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+4 z^3 \text{QuantumGroups$\grave{ }$a}^{13}-z \text{QuantumGroups$\grave{ }$a}^{13}+9 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-16 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+11 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+13 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-21 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+13 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-3 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+13 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-15 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+z^4 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+9 z^{11} \text{QuantumGroups$\grave{ }$a}^9-16 z^7 \text{QuantumGroups$\grave{ }$a}^9+10 z^5 \text{QuantumGroups$\grave{ }$a}^9-2 z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+4 z^{12} \text{QuantumGroups$\grave{ }$a}^8+13 z^{10} \text{QuantumGroups$\grave{ }$a}^8-31 z^8 \text{QuantumGroups$\grave{ }$a}^8+22 z^6 \text{QuantumGroups$\grave{ }$a}^8-15 z^4 \text{QuantumGroups$\grave{ }$a}^8+9 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+13 z^{11} \text{QuantumGroups$\grave{ }$a}^7-19 z^9 \text{QuantumGroups$\grave{ }$a}^7+7 z^7 \text{QuantumGroups$\grave{ }$a}^7-13 z^5 \text{QuantumGroups$\grave{ }$a}^7+10 z^3 \text{QuantumGroups$\grave{ }$a}^7-2 z \text{QuantumGroups$\grave{ }$a}^7+7 z^{12} \text{QuantumGroups$\grave{ }$a}^6-4 z^{10} \text{QuantumGroups$\grave{ }$a}^6-24 z^6 \text{QuantumGroups$\grave{ }$a}^6+24 z^4 \text{QuantumGroups$\grave{ }$a}^6-6 z^2 \text{QuantumGroups$\grave{ }$a}^6+z^{13} \text{QuantumGroups$\grave{ }$a}^5+8 z^{11} \text{QuantumGroups$\grave{ }$a}^5-13 z^9 \text{QuantumGroups$\grave{ }$a}^5-6 z^7 \text{QuantumGroups$\grave{ }$a}^5+6 z^5 \text{QuantumGroups$\grave{ }$a}^5+4 z^3 \text{QuantumGroups$\grave{ }$a}^5-2 z \text{QuantumGroups$\grave{ }$a}^5+3 z^{12} \text{QuantumGroups$\grave{ }$a}^4-4 z^8 \text{QuantumGroups$\grave{ }$a}^4-24 z^6 \text{QuantumGroups$\grave{ }$a}^4+42 z^4 \text{QuantumGroups$\grave{ }$a}^4-20 z^2 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^4+4 z^{11} \text{QuantumGroups$\grave{ }$a}^3-4 z^9 \text{QuantumGroups$\grave{ }$a}^3-17 z^7 \text{QuantumGroups$\grave{ }$a}^3+28 z^5 \text{QuantumGroups$\grave{ }$a}^3-11 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+4 z^{10} \text{QuantumGroups$\grave{ }$a}^2-10 z^8 \text{QuantumGroups$\grave{ }$a}^2-3 z^6 \text{QuantumGroups$\grave{ }$a}^2+24 z^4 \text{QuantumGroups$\grave{ }$a}^2-18 z^2 \text{QuantumGroups$\grave{ }$a}^2+3 \text{QuantumGroups$\grave{ }$a}^2+3 z^9 \text{QuantumGroups$\grave{ }$a}-13 z^7 \text{QuantumGroups$\grave{ }$a}+19 z^5 \text{QuantumGroups$\grave{ }$a}-10 z^3 \text{QuantumGroups$\grave{ }$a}+z \text{QuantumGroups$\grave{ }$a}+z^8-5 z^6+9 z^4-7 z^2+2}

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