K14n6223

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6223

Polynomial invariants

Jones polynomial	Data:K14n6223/Jones Polynomial
Alexander polynomial	$-2t^{3}+9t^{2}-18t+23-18t^{-1}+9t^{-2}-2t^{-3}$
Conway polynomial	Data:K14n6223/Conway Polynomial
Determinant	Data:K14n6223/Determinant
Signature	Data:K14n6223/Signature
HOMFLY-PT polynomial	$-z^{6}a^{-2}-2z^{6}a^{-4}+z^{6}-a^{2}z^{4}-3z^{4}a^{-2}-8z^{4}a^{-4}+3z^{4}a^{-6}+6z^{4}-3a^{2}z^{2}-3z^{2}a^{-2}-12z^{2}a^{-4}+9z^{2}a^{-6}-z^{2}a^{-8}+10z^{2}-2a^{2}-a^{-2}-7a^{-4}+7a^{-6}-2a^{-8}+6$
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} +7 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +4 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a} z^9-21 z^9 $Failed^{-1} -34 z^9 $Failed^{-1} -13 z^9 $Failed^{-1} +z^9 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^2 z^8-27 z^8 $Failed^{-1} -59 z^8 $Failed^{-1} -52 z^8 $Failed^{-1} -18 z^8 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^3 z^7-5 \text{QuantumGroups$\grave{ }$a} z^7-4 z^7 $Failed^{-1} +32 z^7 $Failed^{-1} +45 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+54 z^6 $Failed^{-1} +131 z^6 $Failed^{-1} +116 z^6 $Failed^{-1} +37 z^6 $Failed^{-1} -9 z^6-5 \text{QuantumGroups$\grave{ }$a}^3 z^5-\text{QuantumGroups$\grave{ }$a} z^5-z^5 $Failed^{-1} -31 z^5 $Failed^{-1} -23 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^2 z^4-52 z^4 $Failed^{-1} -135 z^4 $Failed^{-1} -112 z^4 $Failed^{-1} -33 z^4 $Failed^{-1} +19 z^4+6 \text{QuantumGroups$\grave{ }$a}^3 z^3+11 \text{QuantumGroups$\grave{ }$a} z^3+13 z^3 $Failed^{-1} +25 z^3 $Failed^{-1} +11 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} -8 \text{QuantumGroups$\grave{ }$a}^2 z^2+19 z^2 $Failed^{-1} +63 z^2 $Failed^{-1} +52 z^2 $Failed^{-1} +14 z^2 $Failed^{-1} -14 z^2-2 \text{QuantumGroups$\grave{ }$a}^3 z-5 \text{QuantumGroups$\grave{ }$a} z-9 z $Failed^{-1} -13 z $Failed^{-1} -7 z $Failed^{-1} +2 z $Failed^{-1} +2 z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} -7 $Failed^{-1} -7 $Failed^{-1} -2 $Failed^{-1} +6}

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