K14a7587

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7587

Polynomial invariants

Jones polynomial	Data:K14a7587/Jones Polynomial
Alexander polynomial	$2t^{4}-16t^{3}+58t^{2}-123t+159-123t^{-1}+58t^{-2}-16t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a7587/Conway Polynomial
Determinant	Data:K14a7587/Determinant
Signature	Data:K14a7587/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+2z^{6}a^{-2}-2z^{6}a^{-4}+2z^{6}+a^{4}z^{4}-4a^{2}z^{4}+4z^{4}a^{-2}-4z^{4}a^{-4}+z^{4}a^{-6}+4z^{4}+a^{4}z^{2}-5a^{2}z^{2}+3z^{2}a^{-2}-5z^{2}a^{-4}+z^{2}a^{-6}+2z^{2}+a^{4}-a^{2}+2a^{-2}-2a^{-4}+a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +22 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +11 z^{12}+19 \text{QuantumGroups$\grave{ }$a} z^{11}+34 z^{11} $Failed^{-1} +31 z^{11} $Failed^{-1} +16 z^{11} $Failed^{-1} +23 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-30 z^{10} $Failed^{-1} -10 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +15 z^{10}+21 \text{QuantumGroups$\grave{ }$a}^3 z^9-5 \text{QuantumGroups$\grave{ }$a} z^9-89 z^9 $Failed^{-1} -118 z^9 $Failed^{-1} -50 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^8-22 \text{QuantumGroups$\grave{ }$a}^2 z^8-26 z^8 $Failed^{-1} -47 z^8 $Failed^{-1} -41 z^8 $Failed^{-1} +z^8 $Failed^{-1} -56 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-32 \text{QuantumGroups$\grave{ }$a}^3 z^7-42 \text{QuantumGroups$\grave{ }$a} z^7+78 z^7 $Failed^{-1} +151 z^7 $Failed^{-1} +52 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-20 \text{QuantumGroups$\grave{ }$a}^4 z^6-17 \text{QuantumGroups$\grave{ }$a}^2 z^6+57 z^6 $Failed^{-1} +87 z^6 $Failed^{-1} +46 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +23 z^6-6 \text{QuantumGroups$\grave{ }$a}^5 z^5+20 \text{QuantumGroups$\grave{ }$a}^3 z^5+38 \text{QuantumGroups$\grave{ }$a} z^5-48 z^5 $Failed^{-1} -101 z^5 $Failed^{-1} -27 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+14 \text{QuantumGroups$\grave{ }$a}^4 z^4+31 \text{QuantumGroups$\grave{ }$a}^2 z^4-37 z^4 $Failed^{-1} -57 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +11 z^4+2 \text{QuantumGroups$\grave{ }$a}^5 z^3-6 \text{QuantumGroups$\grave{ }$a}^3 z^3-8 \text{QuantumGroups$\grave{ }$a} z^3+23 z^3 $Failed^{-1} +38 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^2-12 \text{QuantumGroups$\grave{ }$a}^2 z^2+12 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} -5 z^2+\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-5 z $Failed^{-1} -6 z $Failed^{-1} -3 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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