K14n18034

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n18034

Polynomial invariants

Jones polynomial	Data:K14n18034/Jones Polynomial
Alexander polynomial	$-3t^{4}+13t^{3}-29t^{2}+45t-51+45t^{-1}-29t^{-2}+13t^{-3}-3t^{-4}$
Conway polynomial	Data:K14n18034/Conway Polynomial
Determinant	Data:K14n18034/Determinant
Signature	Data:K14n18034/Signature
HOMFLY-PT polynomial	$-2z^{8}a^{-2}-z^{8}+a^{2}z^{6}-10z^{6}a^{-2}+2z^{6}a^{-4}-4z^{6}+4a^{2}z^{4}-16z^{4}a^{-2}+7z^{4}a^{-4}-6z^{4}+5a^{2}z^{2}-7z^{2}a^{-2}+6z^{2}a^{-4}-6z^{2}+2a^{2}+2a^{-2}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+11 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+8 z^{10} $Failed^{-1} +8 z^{10} $Failed^{-1} +5 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-15 \text{QuantumGroups$\grave{ }$a} z^9-32 z^9 $Failed^{-1} -7 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-19 \text{QuantumGroups$\grave{ }$a}^2 z^8-26 z^8 $Failed^{-1} -9 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -33 z^8-13 \text{QuantumGroups$\grave{ }$a}^3 z^7+13 \text{QuantumGroups$\grave{ }$a} z^7+38 z^7 $Failed^{-1} +7 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} +z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^6+23 \text{QuantumGroups$\grave{ }$a}^2 z^6+15 z^6 $Failed^{-1} +z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +45 z^6+18 \text{QuantumGroups$\grave{ }$a}^3 z^5-8 \text{QuantumGroups$\grave{ }$a} z^5-39 z^5 $Failed^{-1} -21 z^5 $Failed^{-1} -z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^4-13 \text{QuantumGroups$\grave{ }$a}^2 z^4-3 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -35 z^4-9 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3+18 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^2+7 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} +z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +16 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -3}

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