K14n12282

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12282

Polynomial invariants

Jones polynomial	Data:K14n12282/Jones Polynomial
Alexander polynomial	$-t^{3}+6t^{2}-13t+17-13t^{-1}+6t^{-2}-t^{-3}$
Conway polynomial	Data:K14n12282/Conway Polynomial
Determinant	Data:K14n12282/Determinant
Signature	Data:K14n12282/Signature
HOMFLY-PT polynomial	$a^{2}z^{6}-z^{6}a^{-2}-z^{6}-a^{4}z^{4}+7a^{2}z^{4}-3z^{4}a^{-2}+z^{4}a^{-4}-4z^{4}-4a^{4}z^{2}+14a^{2}z^{2}-3z^{2}a^{-2}+2z^{2}a^{-4}-7z^{2}-4a^{4}+9a^{2}-a^{-2}+a^{-4}-4$
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 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+2 z^{10} $Failed^{-1} +z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9+\text{QuantumGroups$\grave{ }$a}^3 z^9+\text{QuantumGroups$\grave{ }$a} z^9+6 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -8 \text{QuantumGroups$\grave{ }$a}^4 z^8-3 \text{QuantumGroups$\grave{ }$a}^2 z^8-3 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -3 z^8-8 \text{QuantumGroups$\grave{ }$a}^5 z^7-12 \text{QuantumGroups$\grave{ }$a}^3 z^7-10 \text{QuantumGroups$\grave{ }$a} z^7-28 z^7 $Failed^{-1} -19 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +20 \text{QuantumGroups$\grave{ }$a}^4 z^6+14 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} -17 z^6 $Failed^{-1} +z^6 $Failed^{-1} +z^6+21 \text{QuantumGroups$\grave{ }$a}^5 z^5+38 \text{QuantumGroups$\grave{ }$a}^3 z^5+35 \text{QuantumGroups$\grave{ }$a} z^5+49 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} -20 \text{QuantumGroups$\grave{ }$a}^4 z^4-21 \text{QuantumGroups$\grave{ }$a}^2 z^4+26 z^4 $Failed^{-1} +14 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} +8 z^4-21 \text{QuantumGroups$\grave{ }$a}^5 z^3-43 \text{QuantumGroups$\grave{ }$a}^3 z^3-41 \text{QuantumGroups$\grave{ }$a} z^3-34 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^4 z^2+18 \text{QuantumGroups$\grave{ }$a}^2 z^2-14 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +z^2 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^5 z+16 \text{QuantumGroups$\grave{ }$a}^3 z+17 \text{QuantumGroups$\grave{ }$a} z+11 z $Failed^{-1} +2 z $Failed^{-1} -z $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4-9 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} + $Failed^{-1} -4}

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