K14n18167

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n18167

Polynomial invariants

Jones polynomial	Data:K14n18167/Jones Polynomial
Alexander polynomial	$-5t^{3}+19t^{2}-36t+45-36t^{-1}+19t^{-2}-5t^{-3}$
Conway polynomial	Data:K14n18167/Conway Polynomial
Determinant	Data:K14n18167/Determinant
Signature	Data:K14n18167/Signature
HOMFLY-PT polynomial	$-2a^{2}z^{6}-z^{6}a^{-2}-2z^{6}+2a^{4}z^{4}-7a^{2}z^{4}-2z^{4}a^{-2}+z^{4}a^{-4}-5z^{4}+5a^{4}z^{2}-9a^{2}z^{2}+2z^{2}a^{-4}-3z^{2}+3a^{4}-4a^{2}+2a^{-2}$
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}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+3 z^{11} $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+4 z^{10} $Failed^{-1} +2 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-3 \text{QuantumGroups$\grave{ }$a}^3 z^9-16 \text{QuantumGroups$\grave{ }$a} z^9-8 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^8+4 \text{QuantumGroups$\grave{ }$a}^2 z^8-9 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -7 z^8+\text{QuantumGroups$\grave{ }$a}^5 z^7+\text{QuantumGroups$\grave{ }$a}^3 z^7+30 \text{QuantumGroups$\grave{ }$a} z^7+21 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^6-7 \text{QuantumGroups$\grave{ }$a}^4 z^6-24 \text{QuantumGroups$\grave{ }$a}^2 z^6+16 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +z^6 $Failed^{-1} +12 z^6-10 \text{QuantumGroups$\grave{ }$a}^5 z^5-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-27 \text{QuantumGroups$\grave{ }$a} z^5-25 z^5 $Failed^{-1} +z^5 $Failed^{-1} -9 z^5 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^4+11 \text{QuantumGroups$\grave{ }$a}^4 z^4+41 \text{QuantumGroups$\grave{ }$a}^2 z^4-16 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -4 z^4+8 \text{QuantumGroups$\grave{ }$a}^5 z^3+11 \text{QuantumGroups$\grave{ }$a} z^3+12 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^6 z^2-10 \text{QuantumGroups$\grave{ }$a}^4 z^2-25 \text{QuantumGroups$\grave{ }$a}^2 z^2+5 z^2 $Failed^{-1} -z^2 $Failed^{-1} +2 z^2 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4+4 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} }

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