K14n11786

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11786

Polynomial invariants

Jones polynomial	Data:K14n11786/Jones Polynomial
Alexander polynomial	$-2t^{4}+8t^{3}-16t^{2}+24t-27+24t^{-1}-16t^{-2}+8t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n11786/Conway Polynomial
Determinant	Data:K14n11786/Determinant
Signature	Data:K14n11786/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}+a^{2}z^{6}-5z^{6}a^{-2}+z^{6}a^{-4}-5z^{6}+4a^{2}z^{4}-8z^{4}a^{-2}+5z^{4}a^{-4}-9z^{4}+5a^{2}z^{2}-4z^{2}a^{-2}+8z^{2}a^{-4}-z^{2}a^{-6}-8z^{2}+2a^{2}+4a^{-4}-2a^{-6}-3$
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} $Failed^{-1} +z^{12}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+6 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+3 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-8 \text{QuantumGroups$\grave{ }$a} z^9-24 z^9 $Failed^{-1} -12 z^9 $Failed^{-1} +z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-16 \text{QuantumGroups$\grave{ }$a}^2 z^8-26 z^8 $Failed^{-1} -13 z^8 $Failed^{-1} -30 z^8-14 \text{QuantumGroups$\grave{ }$a}^3 z^7-2 \text{QuantumGroups$\grave{ }$a} z^7+33 z^7 $Failed^{-1} +19 z^7 $Failed^{-1} -2 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^6+17 \text{QuantumGroups$\grave{ }$a}^2 z^6+47 z^6 $Failed^{-1} +21 z^6 $Failed^{-1} +z^6 $Failed^{-1} +49 z^6+20 \text{QuantumGroups$\grave{ }$a}^3 z^5+8 \text{QuantumGroups$\grave{ }$a} z^5-29 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^4-8 \text{QuantumGroups$\grave{ }$a}^2 z^4-36 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +z^4 $Failed^{-1} -45 z^4-10 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3+14 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2+9 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +21 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-4 z $Failed^{-1} -6 z $Failed^{-1} -6 z $Failed^{-1} -3 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2+4 $Failed^{-1} +2 $Failed^{-1} -3}

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