K14n6417

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6417

Polynomial invariants

Jones polynomial	Data:K14n6417/Jones Polynomial
Alexander polynomial	$4t^{3}-18t^{2}+38t-47+38t^{-1}-18t^{-2}+4t^{-3}$
Conway polynomial	Data:K14n6417/Conway Polynomial
Determinant	Data:K14n6417/Determinant
Signature	Data:K14n6417/Signature
HOMFLY-PT polynomial	$2z^{6}a^{-2}+z^{6}a^{-4}+z^{6}-a^{2}z^{4}+5z^{4}a^{-2}+2z^{4}a^{-4}-z^{4}a^{-6}+z^{4}-a^{2}z^{2}+4z^{2}a^{-2}+2z^{2}a^{-4}-2z^{2}a^{-6}-z^{2}+a^{-2}+a^{-4}-a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +4 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +7 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +7 z^{10}+7 \text{QuantumGroups$\grave{ }$a} z^9-6 z^9 $Failed^{-1} -18 z^9 $Failed^{-1} -4 z^9 $Failed^{-1} +z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-31 z^8 $Failed^{-1} -12 z^8 $Failed^{-1} -6 z^8 $Failed^{-1} -21 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-23 \text{QuantumGroups$\grave{ }$a} z^7-8 z^7 $Failed^{-1} +19 z^7 $Failed^{-1} +z^7 $Failed^{-1} -2 z^7 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^2 z^6+37 z^6 $Failed^{-1} +17 z^6 $Failed^{-1} +12 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +16 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+9 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^4-16 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} -8 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+4 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +2 z^2-z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +3 z $Failed^{-1} +2 z $Failed^{-1} - $Failed^{-1} + $Failed^{-1} + $Failed^{-1} }

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