K14n5773

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5773

Polynomial invariants

Jones polynomial	Data:K14n5773/Jones Polynomial
Alexander polynomial	$t^{4}-9t^{3}+32t^{2}-59t+71-59t^{-1}+32t^{-2}-9t^{-3}+t^{-4}$
Conway polynomial	Data:K14n5773/Conway Polynomial
Determinant	Data:K14n5773/Determinant
Signature	Data:K14n5773/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+z^{2}a^{10}-a^{10}-2z^{6}a^{8}-4z^{4}a^{8}-z^{2}a^{8}+a^{8}+z^{8}a^{6}+3z^{6}a^{6}+4z^{4}a^{6}+3z^{2}a^{6}-2z^{6}a^{4}-4z^{4}a^{4}-z^{2}a^{4}+z^{4}a^{2}+2z^{2}a^{2}+a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^6 \text{QuantumGroups$\grave{ }$a}^{14}-z^4 \text{QuantumGroups$\grave{ }$a}^{14}+5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-8 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+4 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+11 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-19 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+11 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+14 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-18 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+11 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-4 z \text{QuantumGroups$\grave{ }$a}^{11}+11 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-z^8 \text{QuantumGroups$\grave{ }$a}^{10}-31 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+28 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-10 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+5 z^{11} \text{QuantumGroups$\grave{ }$a}^9+15 z^9 \text{QuantumGroups$\grave{ }$a}^9-35 z^7 \text{QuantumGroups$\grave{ }$a}^9+5 z^5 \text{QuantumGroups$\grave{ }$a}^9+14 z^3 \text{QuantumGroups$\grave{ }$a}^9-5 z \text{QuantumGroups$\grave{ }$a}^9+z^{12} \text{QuantumGroups$\grave{ }$a}^8+16 z^{10} \text{QuantumGroups$\grave{ }$a}^8-18 z^8 \text{QuantumGroups$\grave{ }$a}^8-12 z^6 \text{QuantumGroups$\grave{ }$a}^8+18 z^4 \text{QuantumGroups$\grave{ }$a}^8-7 z^2 \text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^8+7 z^{11} \text{QuantumGroups$\grave{ }$a}^7-4 z^7 \text{QuantumGroups$\grave{ }$a}^7-14 z^5 \text{QuantumGroups$\grave{ }$a}^7+15 z^3 \text{QuantumGroups$\grave{ }$a}^7-3 z \text{QuantumGroups$\grave{ }$a}^7+z^{12} \text{QuantumGroups$\grave{ }$a}^6+6 z^{10} \text{QuantumGroups$\grave{ }$a}^6-4 z^8 \text{QuantumGroups$\grave{ }$a}^6-z^6 \text{QuantumGroups$\grave{ }$a}^6-2 z^4 \text{QuantumGroups$\grave{ }$a}^6+z^2 \text{QuantumGroups$\grave{ }$a}^6+2 z^{11} \text{QuantumGroups$\grave{ }$a}^5-z^9 \text{QuantumGroups$\grave{ }$a}^5+12 z^7 \text{QuantumGroups$\grave{ }$a}^5-22 z^5 \text{QuantumGroups$\grave{ }$a}^5+13 z^3 \text{QuantumGroups$\grave{ }$a}^5-3 z \text{QuantumGroups$\grave{ }$a}^5+z^{10} \text{QuantumGroups$\grave{ }$a}^4+2 z^8 \text{QuantumGroups$\grave{ }$a}^4+z^6 \text{QuantumGroups$\grave{ }$a}^4-7 z^4 \text{QuantumGroups$\grave{ }$a}^4+3 z^2 \text{QuantumGroups$\grave{ }$a}^4+4 z^7 \text{QuantumGroups$\grave{ }$a}^3-8 z^5 \text{QuantumGroups$\grave{ }$a}^3+5 z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+z^6 \text{QuantumGroups$\grave{ }$a}^2-3 z^4 \text{QuantumGroups$\grave{ }$a}^2+3 z^2 \text{QuantumGroups$\grave{ }$a}^2-\text{QuantumGroups$\grave{ }$a}^2}

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