K14n17627

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17627

Polynomial invariants

Jones polynomial	Data:K14n17627/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-9t^{2}+11t-11+11t^{-1}-9t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n17627/Conway Polynomial
Determinant	Data:K14n17627/Determinant
Signature	Data:K14n17627/Signature
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+z^{6}a^{-2}-5z^{6}+a^{4}z^{4}+5a^{2}z^{4}+3z^{4}a^{-2}-8z^{4}-a^{6}z^{2}+a^{4}z^{2}+8a^{2}z^{2}+2z^{2}a^{-2}-6z^{2}-a^{6}-a^{4}+5a^{2}-2$
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 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+\text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +4 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-5 \text{QuantumGroups$\grave{ }$a}^3 z^9-23 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^6 z^8-14 \text{QuantumGroups$\grave{ }$a}^2 z^8-27 z^8 $Failed^{-1} +z^8 $Failed^{-1} -40 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-5 \text{QuantumGroups$\grave{ }$a}^5 z^7-4 \text{QuantumGroups$\grave{ }$a}^3 z^7+12 \text{QuantumGroups$\grave{ }$a} z^7-8 z^7 $Failed^{-1} -18 z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6-9 \text{QuantumGroups$\grave{ }$a}^4 z^6+26 \text{QuantumGroups$\grave{ }$a}^2 z^6+30 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +59 z^6-5 \text{QuantumGroups$\grave{ }$a}^7 z^5+22 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 \text{QuantumGroups$\grave{ }$a} z^5+35 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^6 z^4+11 \text{QuantumGroups$\grave{ }$a}^4 z^4-10 \text{QuantumGroups$\grave{ }$a}^2 z^4-11 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -25 z^4+7 \text{QuantumGroups$\grave{ }$a}^7 z^3+3 \text{QuantumGroups$\grave{ }$a}^5 z^3-23 \text{QuantumGroups$\grave{ }$a}^3 z^3-32 \text{QuantumGroups$\grave{ }$a} z^3-23 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2-3 \text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -z^2 $Failed^{-1} +5 z^2-3 \text{QuantumGroups$\grave{ }$a}^7 z+9 \text{QuantumGroups$\grave{ }$a}^3 z+11 \text{QuantumGroups$\grave{ }$a} z+6 z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2-2}

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