K14n11305

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11305

Polynomial invariants

Jones polynomial	Data:K14n11305/Jones Polynomial
Alexander polynomial	$-2t^{4}+10t^{3}-23t^{2}+33t-35+33t^{-1}-23t^{-2}+10t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n11305/Conway Polynomial
Determinant	Data:K14n11305/Determinant
Signature	Data:K14n11305/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}+a^{2}z^{6}-4z^{6}a^{-2}+z^{6}a^{-4}-4z^{6}+3a^{2}z^{4}-5z^{4}a^{-2}+4z^{4}a^{-4}-5z^{4}+2a^{2}z^{2}-4z^{2}a^{-2}+4z^{2}a^{-4}-z^{2}a^{-6}-2z^{2}-2a^{-2}+a^{-4}+2$
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} $Failed^{-1} +z^{12}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+6 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +10 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-4 \text{QuantumGroups$\grave{ }$a} z^9-7 z^9 $Failed^{-1} +z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-22 \text{QuantumGroups$\grave{ }$a}^2 z^8-16 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -43 z^8-17 \text{QuantumGroups$\grave{ }$a}^3 z^7-29 \text{QuantumGroups$\grave{ }$a} z^7-28 z^7 $Failed^{-1} -13 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+21 \text{QuantumGroups$\grave{ }$a}^2 z^6+4 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +40 z^6+23 \text{QuantumGroups$\grave{ }$a}^3 z^5+49 \text{QuantumGroups$\grave{ }$a} z^5+44 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} +2 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^4-4 \text{QuantumGroups$\grave{ }$a}^2 z^4+5 z^4 $Failed^{-1} +14 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -13 z^4-11 \text{QuantumGroups$\grave{ }$a}^3 z^3-23 \text{QuantumGroups$\grave{ }$a} z^3-24 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^2-5 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +2 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} -z $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +2}

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