K14n12426

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12426

Polynomial invariants

Jones polynomial	Data:K14n12426/Jones Polynomial
Alexander polynomial	$4t^{3}-15t^{2}+30t-37+30t^{-1}-15t^{-2}+4t^{-3}$
Conway polynomial	Data:K14n12426/Conway Polynomial
Determinant	Data:K14n12426/Determinant
Signature	Data:K14n12426/Signature
HOMFLY-PT polynomial	$-z^{4}a^{10}-z^{2}a^{10}+a^{10}+z^{6}a^{8}+z^{4}a^{8}-4z^{2}a^{8}-5a^{8}+2z^{6}a^{6}+7z^{4}a^{6}+9z^{2}a^{6}+4a^{6}+z^{6}a^{4}+3z^{4}a^{4}+4z^{2}a^{4}+2a^{4}-z^{4}a^{2}-2z^{2}a^{2}-a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^9 \text{QuantumGroups$\grave{ }$a}^{13}-5 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}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-22 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+38 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-23 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-25 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+34 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-8 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+4 z \text{QuantumGroups$\grave{ }$a}^{11}+2 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-39 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+82 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-51 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+9 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+10 z^{11} \text{QuantumGroups$\grave{ }$a}^9-47 z^9 \text{QuantumGroups$\grave{ }$a}^9+59 z^7 \text{QuantumGroups$\grave{ }$a}^9-9 z^5 \text{QuantumGroups$\grave{ }$a}^9-25 z^3 \text{QuantumGroups$\grave{ }$a}^9+14 z \text{QuantumGroups$\grave{ }$a}^9+2 z^{12} \text{QuantumGroups$\grave{ }$a}^8+2 z^{10} \text{QuantumGroups$\grave{ }$a}^8-42 z^8 \text{QuantumGroups$\grave{ }$a}^8+77 z^6 \text{QuantumGroups$\grave{ }$a}^8-55 z^4 \text{QuantumGroups$\grave{ }$a}^8+18 z^2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^8+5 z^{11} \text{QuantumGroups$\grave{ }$a}^7-16 z^9 \text{QuantumGroups$\grave{ }$a}^7+2 z^7 \text{QuantumGroups$\grave{ }$a}^7+27 z^5 \text{QuantumGroups$\grave{ }$a}^7-37 z^3 \text{QuantumGroups$\grave{ }$a}^7+15 z \text{QuantumGroups$\grave{ }$a}^7+6 z^{10} \text{QuantumGroups$\grave{ }$a}^6-22 z^8 \text{QuantumGroups$\grave{ }$a}^6+25 z^6 \text{QuantumGroups$\grave{ }$a}^6-19 z^4 \text{QuantumGroups$\grave{ }$a}^6+10 z^2 \text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^6+5 z^9 \text{QuantumGroups$\grave{ }$a}^5-17 z^7 \text{QuantumGroups$\grave{ }$a}^5+21 z^5 \text{QuantumGroups$\grave{ }$a}^5-14 z^3 \text{QuantumGroups$\grave{ }$a}^5+4 z \text{QuantumGroups$\grave{ }$a}^5+3 z^8 \text{QuantumGroups$\grave{ }$a}^4-8 z^6 \text{QuantumGroups$\grave{ }$a}^4+11 z^4 \text{QuantumGroups$\grave{ }$a}^4-6 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4+z^7 \text{QuantumGroups$\grave{ }$a}^3+2 z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+3 z^4 \text{QuantumGroups$\grave{ }$a}^2-3 z^2 \text{QuantumGroups$\grave{ }$a}^2+\text{QuantumGroups$\grave{ }$a}^2+z^3 \text{QuantumGroups$\grave{ }$a}-z \text{QuantumGroups$\grave{ }$a}}

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