K14n17785

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17785

Polynomial invariants

Jones polynomial	Data:K14n17785/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-12t^{2}+20t-23+20t^{-1}-12t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n17785/Conway Polynomial
Determinant	Data:K14n17785/Determinant
Signature	Data:K14n17785/Signature
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+z^{6}a^{-2}-5z^{6}+3a^{2}z^{4}+3z^{4}a^{-2}-8z^{4}+2a^{2}z^{2}+3z^{2}a^{-2}-4z^{2}+2a^{-2}-a^{-4}$
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 2 z^{12} $Failed^{-1} +2 z^{12}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+9 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-6 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^3 z^9-27 \text{QuantumGroups$\grave{ }$a} z^9-49 z^9 $Failed^{-1} -18 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-34 \text{QuantumGroups$\grave{ }$a}^2 z^8-10 z^8 $Failed^{-1} -6 z^8 $Failed^{-1} -39 z^8-18 \text{QuantumGroups$\grave{ }$a}^3 z^7+29 \text{QuantumGroups$\grave{ }$a} z^7+83 z^7 $Failed^{-1} +36 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+46 \text{QuantumGroups$\grave{ }$a}^2 z^6+38 z^6 $Failed^{-1} +10 z^6 $Failed^{-1} +78 z^6+20 \text{QuantumGroups$\grave{ }$a}^3 z^5-8 \text{QuantumGroups$\grave{ }$a} z^5-61 z^5 $Failed^{-1} -36 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^4-24 \text{QuantumGroups$\grave{ }$a}^2 z^4-34 z^4 $Failed^{-1} -8 z^4 $Failed^{-1} -z^4 $Failed^{-1} -54 z^4-6 \text{QuantumGroups$\grave{ }$a}^3 z^3+\text{QuantumGroups$\grave{ }$a} z^3+20 z^3 $Failed^{-1} +18 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^2+10 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +z^2 $Failed^{-1} +13 z^2-\text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -2 z $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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