K14n11573

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11573

Polynomial invariants

Jones polynomial	Data:K14n11573/Jones Polynomial
Alexander polynomial	$-t^{4}+4t^{3}-9t^{2}+15t-17+15t^{-1}-9t^{-2}+4t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11573/Conway Polynomial
Determinant	Data:K14n11573/Determinant
Signature	Data:K14n11573/Signature
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+2z^{6}a^{-2}-z^{6}a^{-4}-6z^{6}+4a^{2}z^{4}+10z^{4}a^{-2}-6z^{4}a^{-4}+z^{4}a^{-6}-14z^{4}+5a^{2}z^{2}+17z^{2}a^{-2}-11z^{2}a^{-4}+3z^{2}a^{-6}-15z^{2}+2a^{2}+10a^{-2}-7a^{-4}+2a^{-6}-6$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+5 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-2 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +2 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-10 \text{QuantumGroups$\grave{ }$a} z^9-25 z^9 $Failed^{-1} -13 z^9 $Failed^{-1} +z^9 $Failed^{-1} +2 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-18 \text{QuantumGroups$\grave{ }$a}^2 z^8-11 z^8 $Failed^{-1} -10 z^8 $Failed^{-1} -6 z^8 $Failed^{-1} +z^8 $Failed^{-1} -27 z^8-15 \text{QuantumGroups$\grave{ }$a}^3 z^7-\text{QuantumGroups$\grave{ }$a} z^7+38 z^7 $Failed^{-1} +24 z^7 $Failed^{-1} -13 z^7 $Failed^{-1} -13 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^6+21 \text{QuantumGroups$\grave{ }$a}^2 z^6+34 z^6 $Failed^{-1} +23 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +48 z^6+22 \text{QuantumGroups$\grave{ }$a}^3 z^5+17 \text{QuantumGroups$\grave{ }$a} z^5-25 z^5 $Failed^{-1} -13 z^5 $Failed^{-1} +31 z^5 $Failed^{-1} +24 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^4 z^4-9 \text{QuantumGroups$\grave{ }$a}^2 z^4-43 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} -41 z^4-12 \text{QuantumGroups$\grave{ }$a}^3 z^3-13 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -25 z^3 $Failed^{-1} -16 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2+28 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} -z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +22 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +7 z $Failed^{-1} +9 z $Failed^{-1} +4 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-10 $Failed^{-1} -7 $Failed^{-1} -2 $Failed^{-1} -6}

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