K14n17463

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17463

Polynomial invariants

Jones polynomial	Data:K14n17463/Jones Polynomial
Alexander polynomial	$-2t^{3}+12t^{2}-32t+45-32t^{-1}+12t^{-2}-2t^{-3}$
Conway polynomial	Data:K14n17463/Conway Polynomial
Determinant	Data:K14n17463/Determinant
Signature	Data:K14n17463/Signature
HOMFLY-PT polynomial	$-z^{6}a^{-2}-z^{6}a^{-4}-2z^{4}a^{-2}-z^{4}a^{-4}+2z^{4}a^{-6}+z^{4}-3z^{2}a^{-2}+2z^{2}a^{-6}-z^{2}a^{-8}+a^{2}-a^{-2}+a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +6 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +5 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} -46 z^9 $Failed^{-1} -25 z^9 $Failed^{-1} +z^9 $Failed^{-1} -21 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} -36 z^8 $Failed^{-1} -22 z^8 $Failed^{-1} +2 z^8-20 z^7 $Failed^{-1} +62 z^7 $Failed^{-1} +37 z^7 $Failed^{-1} -5 z^7 $Failed^{-1} +14 z^6 $Failed^{-1} +56 z^6 $Failed^{-1} +74 z^6 $Failed^{-1} +39 z^6 $Failed^{-1} -7 z^6+\text{QuantumGroups$\grave{ }$a} z^5+25 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -32 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} +4 z^4 $Failed^{-1} -29 z^4 $Failed^{-1} -48 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} +9 z^4-12 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} +z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -2 z^2+2 z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} + $Failed^{-1} }

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