K14n10779

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10779

Polynomial invariants

Jones polynomial	Data:K14n10779/Jones Polynomial
Alexander polynomial	$t^{4}-6t^{3}+14t^{2}-15t+13-15t^{-1}+14t^{-2}-6t^{-3}+t^{-4}$
Conway polynomial	Data:K14n10779/Conway Polynomial
Determinant	Data:K14n10779/Determinant
Signature	Data:K14n10779/Signature
HOMFLY-PT polynomial	$-a^{10}+2z^{2}a^{8}+a^{8}-z^{6}a^{6}-3z^{4}a^{6}+a^{6}+z^{8}a^{4}+4z^{6}a^{4}+3z^{4}a^{4}-z^{2}a^{4}-2a^{4}-z^{6}a^{2}-2z^{4}a^{2}+2z^{2}a^{2}+2a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{11}-6 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+8 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-3 z \text{QuantumGroups$\grave{ }$a}^{11}+z^8 \text{QuantumGroups$\grave{ }$a}^{10}-8 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+13 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-6 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}-2 z^7 \text{QuantumGroups$\grave{ }$a}^9+2 z^5 \text{QuantumGroups$\grave{ }$a}^9+5 z^3 \text{QuantumGroups$\grave{ }$a}^9-2 z \text{QuantumGroups$\grave{ }$a}^9+z^{10} \text{QuantumGroups$\grave{ }$a}^8-6 z^8 \text{QuantumGroups$\grave{ }$a}^8+8 z^6 \text{QuantumGroups$\grave{ }$a}^8+4 z^4 \text{QuantumGroups$\grave{ }$a}^8-5 z^2 \text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^8+z^{11} \text{QuantumGroups$\grave{ }$a}^7-z^9 \text{QuantumGroups$\grave{ }$a}^7-13 z^7 \text{QuantumGroups$\grave{ }$a}^7+30 z^5 \text{QuantumGroups$\grave{ }$a}^7-17 z^3 \text{QuantumGroups$\grave{ }$a}^7+2 z \text{QuantumGroups$\grave{ }$a}^7+6 z^{10} \text{QuantumGroups$\grave{ }$a}^6-25 z^8 \text{QuantumGroups$\grave{ }$a}^6+30 z^6 \text{QuantumGroups$\grave{ }$a}^6-13 z^4 \text{QuantumGroups$\grave{ }$a}^6+3 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+z^{11} \text{QuantumGroups$\grave{ }$a}^5+7 z^9 \text{QuantumGroups$\grave{ }$a}^5-40 z^7 \text{QuantumGroups$\grave{ }$a}^5+48 z^5 \text{QuantumGroups$\grave{ }$a}^5-19 z^3 \text{QuantumGroups$\grave{ }$a}^5+z \text{QuantumGroups$\grave{ }$a}^5+5 z^{10} \text{QuantumGroups$\grave{ }$a}^4-13 z^8 \text{QuantumGroups$\grave{ }$a}^4-2 z^6 \text{QuantumGroups$\grave{ }$a}^4+5 z^4 \text{QuantumGroups$\grave{ }$a}^4+5 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+8 z^9 \text{QuantumGroups$\grave{ }$a}^3-29 z^7 \text{QuantumGroups$\grave{ }$a}^3+24 z^5 \text{QuantumGroups$\grave{ }$a}^3-5 z^3 \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-16 z^6 \text{QuantumGroups$\grave{ }$a}^2+9 z^4 \text{QuantumGroups$\grave{ }$a}^2+3 z^2 \text{QuantumGroups$\grave{ }$a}^2-2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a}}

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