K14n11447

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11447

Polynomial invariants

Jones polynomial	Data:K14n11447/Jones Polynomial
Alexander polynomial	$t^{4}-5t^{3}+11t^{2}-16t+19-16t^{-1}+11t^{-2}-5t^{-3}+t^{-4}$
Conway polynomial	Data:K14n11447/Conway Polynomial
Determinant	Data:K14n11447/Determinant
Signature	Data:K14n11447/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}-2a^{4}z^{6}+6a^{2}z^{6}-z^{6}+a^{6}z^{4}-8a^{4}z^{4}+13a^{2}z^{4}-5z^{4}+2a^{6}z^{2}-9a^{4}z^{2}+12a^{2}z^{2}+z^{2}a^{-2}-7z^{2}+a^{6}-3a^{4}+4a^{2}+a^{-2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+6 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+9 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+7 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10}+4 \text{QuantumGroups$\grave{ }$a}^7 z^9-27 \text{QuantumGroups$\grave{ }$a}^5 z^9-50 \text{QuantumGroups$\grave{ }$a}^3 z^9-19 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^8 z^8-34 \text{QuantumGroups$\grave{ }$a}^6 z^8-43 \text{QuantumGroups$\grave{ }$a}^4 z^8-15 \text{QuantumGroups$\grave{ }$a}^2 z^8-7 z^8-18 \text{QuantumGroups$\grave{ }$a}^7 z^7+23 \text{QuantumGroups$\grave{ }$a}^5 z^7+79 \text{QuantumGroups$\grave{ }$a}^3 z^7+38 \text{QuantumGroups$\grave{ }$a} z^7-4 \text{QuantumGroups$\grave{ }$a}^8 z^6+42 \text{QuantumGroups$\grave{ }$a}^6 z^6+86 \text{QuantumGroups$\grave{ }$a}^4 z^6+55 \text{QuantumGroups$\grave{ }$a}^2 z^6+15 z^6+19 \text{QuantumGroups$\grave{ }$a}^7 z^5+7 \text{QuantumGroups$\grave{ }$a}^5 z^5-45 \text{QuantumGroups$\grave{ }$a}^3 z^5-36 \text{QuantumGroups$\grave{ }$a} z^5-3 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^8 z^4-17 \text{QuantumGroups$\grave{ }$a}^6 z^4-57 \text{QuantumGroups$\grave{ }$a}^4 z^4-56 \text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} -20 z^4-7 \text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3+9 \text{QuantumGroups$\grave{ }$a}^3 z^3+14 \text{QuantumGroups$\grave{ }$a} z^3+4 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8 z^2+4 \text{QuantumGroups$\grave{ }$a}^6 z^2+18 \text{QuantumGroups$\grave{ }$a}^4 z^2+23 \text{QuantumGroups$\grave{ }$a}^2 z^2+2 z^2 $Failed^{-1} +12 z^2+\text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -2}

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