K14n10491

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10491

Polynomial invariants

Jones polynomial	Data:K14n10491/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-14t^{2}+26t-31+26t^{-1}-14t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n10491/Conway Polynomial
Determinant	Data:K14n10491/Determinant
Signature	Data:K14n10491/Signature
HOMFLY-PT polynomial	$-z^{2}a^{8}-a^{8}+z^{6}a^{6}+5z^{4}a^{6}+9z^{2}a^{6}+5a^{6}-z^{8}a^{4}-6z^{6}a^{4}-15z^{4}a^{4}-17z^{2}a^{4}-8a^{4}+2z^{6}a^{2}+7z^{4}a^{2}+9z^{2}a^{2}+5a^{2}-z^{4}-z^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+4 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^7 z^9-5 \text{QuantumGroups$\grave{ }$a}^5 z^9-6 \text{QuantumGroups$\grave{ }$a}^3 z^9+\text{QuantumGroups$\grave{ }$a} z^9-17 \text{QuantumGroups$\grave{ }$a}^6 z^8-27 \text{QuantumGroups$\grave{ }$a}^4 z^8-10 \text{QuantumGroups$\grave{ }$a}^2 z^8-3 \text{QuantumGroups$\grave{ }$a}^7 z^7+14 \text{QuantumGroups$\grave{ }$a}^5 z^7+21 \text{QuantumGroups$\grave{ }$a}^3 z^7+4 \text{QuantumGroups$\grave{ }$a} z^7+5 \text{QuantumGroups$\grave{ }$a}^8 z^6+45 \text{QuantumGroups$\grave{ }$a}^6 z^6+66 \text{QuantumGroups$\grave{ }$a}^4 z^6+31 \text{QuantumGroups$\grave{ }$a}^2 z^6+5 z^6+\text{QuantumGroups$\grave{ }$a}^9 z^5+7 \text{QuantumGroups$\grave{ }$a}^7 z^5-12 \text{QuantumGroups$\grave{ }$a}^5 z^5-26 \text{QuantumGroups$\grave{ }$a}^3 z^5-7 \text{QuantumGroups$\grave{ }$a} z^5+z^5 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^8 z^4-52 \text{QuantumGroups$\grave{ }$a}^6 z^4-78 \text{QuantumGroups$\grave{ }$a}^4 z^4-43 \text{QuantumGroups$\grave{ }$a}^2 z^4-8 z^4-2 \text{QuantumGroups$\grave{ }$a}^9 z^3-10 \text{QuantumGroups$\grave{ }$a}^7 z^3+\text{QuantumGroups$\grave{ }$a}^5 z^3+11 \text{QuantumGroups$\grave{ }$a}^3 z^3+\text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^8 z^2+25 \text{QuantumGroups$\grave{ }$a}^6 z^2+42 \text{QuantumGroups$\grave{ }$a}^4 z^2+23 \text{QuantumGroups$\grave{ }$a}^2 z^2+3 z^2+\text{QuantumGroups$\grave{ }$a}^9 z+4 \text{QuantumGroups$\grave{ }$a}^7 z+3 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^6-8 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2}

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