K14n13075

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13075

Polynomial invariants

Jones polynomial	Data:K14n13075/Jones Polynomial
Alexander polynomial	$-4t^{3}+24t^{2}-56t+73-56t^{-1}+24t^{-2}-4t^{-3}$
Conway polynomial	Data:K14n13075/Conway Polynomial
Determinant	Data:K14n13075/Determinant
Signature	Data:K14n13075/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}+3z^{4}a^{10}+3z^{2}a^{10}-2z^{6}a^{8}-3z^{4}a^{8}-2z^{2}a^{8}-a^{8}-2z^{6}a^{6}-3z^{4}a^{6}-z^{2}a^{6}+3z^{4}a^{4}+5z^{2}a^{4}+2a^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-2 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+5 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-13 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+11 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-33 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+26 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+13 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-37 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+27 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-8 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-9 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-28 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+43 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-16 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+2 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+16 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-68 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+89 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-51 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+11 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+12 z^{11} \text{QuantumGroups$\grave{ }$a}^9-32 z^9 \text{QuantumGroups$\grave{ }$a}^9+30 z^7 \text{QuantumGroups$\grave{ }$a}^9-z^5 \text{QuantumGroups$\grave{ }$a}^9-12 z^3 \text{QuantumGroups$\grave{ }$a}^9+4 z \text{QuantumGroups$\grave{ }$a}^9+2 z^{12} \text{QuantumGroups$\grave{ }$a}^8+5 z^{10} \text{QuantumGroups$\grave{ }$a}^8-30 z^8 \text{QuantumGroups$\grave{ }$a}^8+66 z^6 \text{QuantumGroups$\grave{ }$a}^8-56 z^4 \text{QuantumGroups$\grave{ }$a}^8+16 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8+4 z^{11} \text{QuantumGroups$\grave{ }$a}^7-12 z^9 \text{QuantumGroups$\grave{ }$a}^7+27 z^7 \text{QuantumGroups$\grave{ }$a}^7-14 z^5 \text{QuantumGroups$\grave{ }$a}^7-6 z^3 \text{QuantumGroups$\grave{ }$a}^7+4 z \text{QuantumGroups$\grave{ }$a}^7+2 z^{10} \text{QuantumGroups$\grave{ }$a}^6-4 z^8 \text{QuantumGroups$\grave{ }$a}^6+17 z^6 \text{QuantumGroups$\grave{ }$a}^6-15 z^4 \text{QuantumGroups$\grave{ }$a}^6+3 z^2 \text{QuantumGroups$\grave{ }$a}^6+3 z^7 \text{QuantumGroups$\grave{ }$a}^5+2 z^5 \text{QuantumGroups$\grave{ }$a}^5-3 z^3 \text{QuantumGroups$\grave{ }$a}^5+4 z^4 \text{QuantumGroups$\grave{ }$a}^4-5 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4}

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