K14n10702

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10702

Polynomial invariants

Jones polynomial	Data:K14n10702/Jones Polynomial
Alexander polynomial	$-t^{4}+8t^{3}-25t^{2}+42t-47+42t^{-1}-25t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	Data:K14n10702/Conway Polynomial
Determinant	Data:K14n10702/Determinant
Signature	Data:K14n10702/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-4z^{6}a^{-2}+2z^{6}a^{-4}+2z^{6}-a^{2}z^{4}-7z^{4}a^{-2}+6z^{4}a^{-4}-z^{4}a^{-6}+6z^{4}-2a^{2}z^{2}-7z^{2}a^{-2}+5z^{2}a^{-4}-3z^{2}a^{-6}+5z^{2}-2a^{-2}+2a^{-4}-2a^{-6}+a^{-8}+2$
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 z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +4 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +10 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +7 z^{10}+7 \text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} -7 z^9 $Failed^{-1} -z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-31 z^8 $Failed^{-1} -9 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} -15 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-21 \text{QuantumGroups$\grave{ }$a} z^7-29 z^7 $Failed^{-1} -11 z^7 $Failed^{-1} -z^7 $Failed^{-1} +3 z^7 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^2 z^6+24 z^6 $Failed^{-1} +7 z^6 $Failed^{-1} -5 z^6 $Failed^{-1} -z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+17 \text{QuantumGroups$\grave{ }$a} z^5+36 z^5 $Failed^{-1} +29 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^2 z^4+7 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} +12 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3-18 z^3 $Failed^{-1} -20 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^2-7 z^2 $Failed^{-1} -8 z^2 $Failed^{-1} -11 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} -8 z^2+\text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +5 z $Failed^{-1} +7 z $Failed^{-1} +4 z $Failed^{-1} +2 $Failed^{-1} +2 $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +2}

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