K14n13105

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13105

Polynomial invariants

Jones polynomial	Data:K14n13105/Jones Polynomial
Alexander polynomial	$2t^{3}+2t^{2}-17t+27-17t^{-1}+2t^{-2}+2t^{-3}$
Conway polynomial	Data:K14n13105/Conway Polynomial
Determinant	Data:K14n13105/Determinant
Signature	Data:K14n13105/Signature
HOMFLY-PT polynomial	$-z^{2}a^{14}+z^{4}a^{12}-z^{2}a^{12}-a^{12}+2z^{4}a^{10}+z^{2}a^{10}+z^{6}a^{8}+6z^{4}a^{8}+5z^{2}a^{8}+z^{6}a^{6}+5z^{4}a^{6}+5z^{2}a^{6}+2a^{6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^9 \text{QuantumGroups$\grave{ }$a}^{17}-6 z^7 \text{QuantumGroups$\grave{ }$a}^{17}+12 z^5 \text{QuantumGroups$\grave{ }$a}^{17}-9 z^3 \text{QuantumGroups$\grave{ }$a}^{17}+2 z \text{QuantumGroups$\grave{ }$a}^{17}+3 z^{10} \text{QuantumGroups$\grave{ }$a}^{16}-18 z^8 \text{QuantumGroups$\grave{ }$a}^{16}+35 z^6 \text{QuantumGroups$\grave{ }$a}^{16}-26 z^4 \text{QuantumGroups$\grave{ }$a}^{16}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{16}+3 z^{11} \text{QuantumGroups$\grave{ }$a}^{15}-15 z^9 \text{QuantumGroups$\grave{ }$a}^{15}+18 z^7 \text{QuantumGroups$\grave{ }$a}^{15}+z^5 \text{QuantumGroups$\grave{ }$a}^{15}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+2 z \text{QuantumGroups$\grave{ }$a}^{15}+z^{12} \text{QuantumGroups$\grave{ }$a}^{14}+z^{10} \text{QuantumGroups$\grave{ }$a}^{14}-28 z^8 \text{QuantumGroups$\grave{ }$a}^{14}+58 z^6 \text{QuantumGroups$\grave{ }$a}^{14}-39 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+8 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+5 z^{11} \text{QuantumGroups$\grave{ }$a}^{13}-25 z^9 \text{QuantumGroups$\grave{ }$a}^{13}+29 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-13 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z \text{QuantumGroups$\grave{ }$a}^{13}+z^{12} \text{QuantumGroups$\grave{ }$a}^{12}-23 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+47 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-35 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+11 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+2 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-8 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-3 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+22 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-16 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+2 z \text{QuantumGroups$\grave{ }$a}^{11}+2 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-12 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+16 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-10 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+4 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+z^9 \text{QuantumGroups$\grave{ }$a}^9-7 z^7 \text{QuantumGroups$\grave{ }$a}^9+6 z^5 \text{QuantumGroups$\grave{ }$a}^9+z^3 \text{QuantumGroups$\grave{ }$a}^9-z \text{QuantumGroups$\grave{ }$a}^9+z^8 \text{QuantumGroups$\grave{ }$a}^8-7 z^6 \text{QuantumGroups$\grave{ }$a}^8+7 z^4 \text{QuantumGroups$\grave{ }$a}^8-z^2 \text{QuantumGroups$\grave{ }$a}^8+z^7 \text{QuantumGroups$\grave{ }$a}^7-5 z^5 \text{QuantumGroups$\grave{ }$a}^7+2 z^3 \text{QuantumGroups$\grave{ }$a}^7+z \text{QuantumGroups$\grave{ }$a}^7+z^6 \text{QuantumGroups$\grave{ }$a}^6-5 z^4 \text{QuantumGroups$\grave{ }$a}^6+5 z^2 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^6}

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