K14n11739

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11739

Polynomial invariants

Jones polynomial	Data:K14n11739/Jones Polynomial
Alexander polynomial	$3t^{3}-24t^{2}+69t-95+69t^{-1}-24t^{-2}+3t^{-3}$
Conway polynomial	Data:K14n11739/Conway Polynomial
Determinant	Data:K14n11739/Determinant
Signature	Data:K14n11739/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+2z^{6}a^{-4}-2z^{4}a^{-2}+2z^{4}a^{-4}-4z^{4}a^{-6}-2z^{4}+a^{2}z^{2}-2z^{2}a^{-2}+2z^{2}a^{-4}-3z^{2}a^{-6}+2z^{2}a^{-8}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +7 z^{11} $Failed^{-1} +12 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +11 z^{10} $Failed^{-1} +16 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +11 z^9 $Failed^{-1} +z^9 $Failed^{-1} -18 z^9 $Failed^{-1} -7 z^9 $Failed^{-1} +z^9 $Failed^{-1} -15 z^8 $Failed^{-1} -41 z^8 $Failed^{-1} -20 z^8 $Failed^{-1} -2 z^8 $Failed^{-1} +8 z^8+4 \text{QuantumGroups$\grave{ }$a} z^7-19 z^7 $Failed^{-1} -25 z^7 $Failed^{-1} +7 z^7 $Failed^{-1} +16 z^7 $Failed^{-1} +7 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} +32 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} -15 z^6-8 \text{QuantumGroups$\grave{ }$a} z^5+12 z^5 $Failed^{-1} +33 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} -37 z^5 $Failed^{-1} -20 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^4+12 z^4 $Failed^{-1} -z^4 $Failed^{-1} -4 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +9 z^4+4 \text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} +8 z^3 $Failed^{-1} +23 z^3 $Failed^{-1} +13 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^2-7 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -4 z^2+z $Failed^{-1} +z $Failed^{-1} -3 z $Failed^{-1} -5 z $Failed^{-1} -2 z $Failed^{-1} +1}

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