K14n17827

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17827

Polynomial invariants

Jones polynomial	Data:K14n17827/Jones Polynomial
Alexander polynomial	$t^{4}-6t^{3}+16t^{2}-29t+37-29t^{-1}+16t^{-2}-6t^{-3}+t^{-4}$
Conway polynomial	Data:K14n17827/Conway Polynomial
Determinant	Data:K14n17827/Determinant
Signature	Data:K14n17827/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+5z^{6}a^{-2}-2z^{6}a^{-4}-z^{6}+9z^{4}a^{-2}-6z^{4}a^{-4}+z^{4}a^{-6}-4z^{4}+a^{2}z^{2}+5z^{2}a^{-2}-4z^{2}a^{-4}+z^{2}a^{-6}-6z^{2}+2a^{2}+a^{-4}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{12} $Failed^{-1} +3 z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} -6 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +2 z^{10}-27 z^9 $Failed^{-1} -69 z^9 $Failed^{-1} -37 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -26 z^8 $Failed^{-1} -60 z^8 $Failed^{-1} -44 z^8 $Failed^{-1} +z^8 $Failed^{-1} -11 z^8+46 z^7 $Failed^{-1} +98 z^7 $Failed^{-1} +33 z^7 $Failed^{-1} -19 z^7 $Failed^{-1} +67 z^6 $Failed^{-1} +100 z^6 $Failed^{-1} +50 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +20 z^6-2 \text{QuantumGroups$\grave{ }$a} z^5-30 z^5 $Failed^{-1} -46 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^4-45 z^4 $Failed^{-1} -46 z^4 $Failed^{-1} -17 z^4 $Failed^{-1} +z^4 $Failed^{-1} -19 z^4+3 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} -z^3 $Failed^{-1} -z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^2+5 z^2 $Failed^{-1} +z^2 $Failed^{-1} +z^2 $Failed^{-1} +10 z^2+4 z $Failed^{-1} +5 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} -2}

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