K14a17364

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17364

Polynomial invariants

Jones polynomial	Data:K14a17364/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+53t^{2}-108t+137-108t^{-1}+53t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a17364/Conway Polynomial
Determinant	Data:K14a17364/Determinant
Signature	Data:K14a17364/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-a^{2}z^{6}+2z^{6}a^{-2}-3z^{6}a^{-4}+3z^{6}-2a^{2}z^{4}+4z^{4}a^{-2}-7z^{4}a^{-4}+3z^{4}a^{-6}+5z^{4}-2a^{2}z^{2}+5z^{2}a^{-2}-8z^{2}a^{-4}+5z^{2}a^{-6}-z^{2}a^{-8}+2z^{2}+3a^{-2}-4a^{-4}+3a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +16 z^{12} $Failed^{-1} +25 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +30 z^{11} $Failed^{-1} +33 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} -7 z^{10} $Failed^{-1} -79 z^{10} $Failed^{-1} -30 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +38 z^{10}+37 \text{QuantumGroups$\grave{ }$a} z^9-52 z^9 $Failed^{-1} -150 z^9 $Failed^{-1} -97 z^9 $Failed^{-1} -35 z^9 $Failed^{-1} +z^9 $Failed^{-1} +27 \text{QuantumGroups$\grave{ }$a}^2 z^8-77 z^8 $Failed^{-1} +53 z^8 $Failed^{-1} +16 z^8 $Failed^{-1} -19 z^8 $Failed^{-1} -68 z^8+14 \text{QuantumGroups$\grave{ }$a}^3 z^7-61 \text{QuantumGroups$\grave{ }$a} z^7+z^7 $Failed^{-1} +189 z^7 $Failed^{-1} +168 z^7 $Failed^{-1} +50 z^7 $Failed^{-1} -5 z^7 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^6-35 \text{QuantumGroups$\grave{ }$a}^2 z^6+99 z^6 $Failed^{-1} +34 z^6 $Failed^{-1} +29 z^6 $Failed^{-1} +30 z^6 $Failed^{-1} +24 z^6+\text{QuantumGroups$\grave{ }$a}^5 z^5-10 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} -100 z^5 $Failed^{-1} -118 z^5 $Failed^{-1} -31 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^4+17 \text{QuantumGroups$\grave{ }$a}^2 z^4-48 z^4 $Failed^{-1} -49 z^4 $Failed^{-1} -38 z^4 $Failed^{-1} -21 z^4 $Failed^{-1} +2 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-8 z^3 $Failed^{-1} +26 z^3 $Failed^{-1} +38 z^3 $Failed^{-1} +9 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^2+15 z^2 $Failed^{-1} +22 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} -z^2+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -3 z $Failed^{-1} -5 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} -3 $Failed^{-1} -4 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }

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