K14n11173

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11173

Polynomial invariants

Jones polynomial	Data:K14n11173/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-8t^{2}+5t-1+5t^{-1}-8t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11173/Conway Polynomial
Determinant	Data:K14n11173/Determinant
Signature	Data:K14n11173/Signature
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+2z^{6}a^{-2}-6z^{6}+5a^{2}z^{4}+10z^{4}a^{-2}-z^{4}a^{-4}-12z^{4}-a^{4}z^{2}+5a^{2}z^{2}+14z^{2}a^{-2}-4z^{2}a^{-4}-12z^{2}+a^{2}+7a^{-2}-3a^{-4}-4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12}+2 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^{10}-3 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} -4 z^{10}-14 \text{QuantumGroups$\grave{ }$a} z^9-26 z^9 $Failed^{-1} -11 z^9 $Failed^{-1} +z^9 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^2 z^8-9 z^8 $Failed^{-1} -13 z^8 $Failed^{-1} -3 z^8+33 \text{QuantumGroups$\grave{ }$a} z^7+54 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} -7 z^7 $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^2 z^6+35 z^6 $Failed^{-1} +27 z^6 $Failed^{-1} +23 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-37 \text{QuantumGroups$\grave{ }$a} z^5-47 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^4-16 \text{QuantumGroups$\grave{ }$a}^2 z^4-39 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} -31 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3+15 \text{QuantumGroups$\grave{ }$a} z^3+14 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2+23 z^2 $Failed^{-1} +11 z^2 $Failed^{-1} +17 z^2+2 z $Failed^{-1} +6 z $Failed^{-1} +4 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-7 $Failed^{-1} -3 $Failed^{-1} -4}

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