K14n18316

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n18316

Polynomial invariants

Jones polynomial	Data:K14n18316/Jones Polynomial
Alexander polynomial	$-2t^{4}+13t^{3}-38t^{2}+69t-83+69t^{-1}-38t^{-2}+13t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n18316/Conway Polynomial
Determinant	Data:K14n18316/Determinant
Signature	Data:K14n18316/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-3z^{6}a^{-2}-2z^{6}a^{-4}+z^{6}a^{-6}+z^{6}-4z^{4}a^{-2}+z^{4}a^{-4}+z^{4}a^{-6}+2z^{4}-2z^{2}a^{-2}+4z^{2}a^{-4}-z^{2}a^{-6}+z^{2}+a^{-2}+a^{-4}-a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +3 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +6 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +z^{10}-3 z^9 $Failed^{-1} -16 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +24 z^9 $Failed^{-1} -10 z^8 $Failed^{-1} -58 z^8 $Failed^{-1} -27 z^8 $Failed^{-1} +16 z^8 $Failed^{-1} +5 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7+14 z^7 $Failed^{-1} +2 z^7 $Failed^{-1} -54 z^7 $Failed^{-1} -41 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+9 z^6 $Failed^{-1} +34 z^6 $Failed^{-1} -7 z^6 $Failed^{-1} -23 z^6 $Failed^{-1} +z^6 $Failed^{-1} -7 z^6-10 \text{QuantumGroups$\grave{ }$a} z^5-20 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +35 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^4-2 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -z^4+5 \text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} -z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +z^2-2 z $Failed^{-1} -2 z $Failed^{-1} - $Failed^{-1} + $Failed^{-1} + $Failed^{-1} }

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