K14n11108

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11108

Polynomial invariants

Jones polynomial	Data:K14n11108/Jones Polynomial
Alexander polynomial	$-2t^{3}+15t^{2}-35t+45-35t^{-1}+15t^{-2}-2t^{-3}$
Conway polynomial	Data:K14n11108/Conway Polynomial
Determinant	Data:K14n11108/Determinant
Signature	Data:K14n11108/Signature
HOMFLY-PT polynomial	$-2z^{2}a^{10}-2a^{10}+3z^{4}a^{8}+5z^{2}a^{8}+2a^{8}-z^{6}a^{6}+2z^{2}a^{6}-z^{6}a^{4}-z^{4}a^{4}+z^{2}a^{4}+a^{4}+z^{4}a^{2}+z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-6 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+3 z \text{QuantumGroups$\grave{ }$a}^{13}+z^8 \text{QuantumGroups$\grave{ }$a}^{12}+z^6 \text{QuantumGroups$\grave{ }$a}^{12}-8 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-5 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+15 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-18 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+5 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-z \text{QuantumGroups$\grave{ }$a}^{11}+z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-3 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}+3 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+7 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-7 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+2 \text{QuantumGroups$\grave{ }$a}^{10}+5 z^{11} \text{QuantumGroups$\grave{ }$a}^9-22 z^9 \text{QuantumGroups$\grave{ }$a}^9+43 z^7 \text{QuantumGroups$\grave{ }$a}^9-33 z^5 \text{QuantumGroups$\grave{ }$a}^9+16 z^3 \text{QuantumGroups$\grave{ }$a}^9-4 z \text{QuantumGroups$\grave{ }$a}^9+z^{12} \text{QuantumGroups$\grave{ }$a}^8+4 z^{10} \text{QuantumGroups$\grave{ }$a}^8-24 z^8 \text{QuantumGroups$\grave{ }$a}^8+42 z^6 \text{QuantumGroups$\grave{ }$a}^8-15 z^4 \text{QuantumGroups$\grave{ }$a}^8-3 z^2 \text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^8+4 z^{11} \text{QuantumGroups$\grave{ }$a}^7-9 z^9 \text{QuantumGroups$\grave{ }$a}^7+5 z^7 \text{QuantumGroups$\grave{ }$a}^7+7 z^5 \text{QuantumGroups$\grave{ }$a}^7-2 z^3 \text{QuantumGroups$\grave{ }$a}^7+7 z^{10} \text{QuantumGroups$\grave{ }$a}^6-19 z^8 \text{QuantumGroups$\grave{ }$a}^6+19 z^6 \text{QuantumGroups$\grave{ }$a}^6-8 z^4 \text{QuantumGroups$\grave{ }$a}^6+z^2 \text{QuantumGroups$\grave{ }$a}^6+8 z^9 \text{QuantumGroups$\grave{ }$a}^5-19 z^7 \text{QuantumGroups$\grave{ }$a}^5+11 z^5 \text{QuantumGroups$\grave{ }$a}^5-4 z^3 \text{QuantumGroups$\grave{ }$a}^5+7 z^8 \text{QuantumGroups$\grave{ }$a}^4-16 z^6 \text{QuantumGroups$\grave{ }$a}^4+6 z^4 \text{QuantumGroups$\grave{ }$a}^4-2 z^2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^4+4 z^7 \text{QuantumGroups$\grave{ }$a}^3-9 z^5 \text{QuantumGroups$\grave{ }$a}^3+3 z^3 \text{QuantumGroups$\grave{ }$a}^3+z^6 \text{QuantumGroups$\grave{ }$a}^2-2 z^4 \text{QuantumGroups$\grave{ }$a}^2+z^2 \text{QuantumGroups$\grave{ }$a}^2}

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