K14n18007

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n18007

Polynomial invariants

Jones polynomial	Data:K14n18007/Jones Polynomial
Alexander polynomial	$2t^{3}-9t^{2}+24t-33+24t^{-1}-9t^{-2}+2t^{-3}$
Conway polynomial	Data:K14n18007/Conway Polynomial
Determinant	Data:K14n18007/Determinant
Signature	Data:K14n18007/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+z^{6}a^{-4}+2z^{4}a^{-2}+2z^{4}a^{-4}-z^{4}a^{-6}+z^{4}a^{-8}-z^{4}+2z^{2}a^{-2}+3z^{2}a^{-4}-z^{2}a^{-6}+4z^{2}a^{-8}-z^{2}a^{-10}-z^{2}+2a^{-4}-2a^{-6}+3a^{-8}-2a^{-10}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +z^{11} $Failed^{-1} +z^{10} $Failed^{-1} -11 z^{10} $Failed^{-1} -10 z^{10} $Failed^{-1} +4 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -11 z^9 $Failed^{-1} -22 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +7 z^8 $Failed^{-1} +11 z^8 $Failed^{-1} +9 z^8 $Failed^{-1} +40 z^8 $Failed^{-1} +35 z^8 $Failed^{-1} +7 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} +z^7 $Failed^{-1} +47 z^7 $Failed^{-1} +80 z^7 $Failed^{-1} +36 z^7 $Failed^{-1} -7 z^6 $Failed^{-1} -24 z^6 $Failed^{-1} -17 z^6 $Failed^{-1} -59 z^6 $Failed^{-1} -55 z^6 $Failed^{-1} +4 z^6+\text{QuantumGroups$\grave{ }$a} z^5-11 z^5 $Failed^{-1} -21 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} -70 z^5 $Failed^{-1} -121 z^5 $Failed^{-1} -58 z^5 $Failed^{-1} -2 z^4 $Failed^{-1} +19 z^4 $Failed^{-1} +16 z^4 $Failed^{-1} +42 z^4 $Failed^{-1} +41 z^4 $Failed^{-1} -6 z^4-\text{QuantumGroups$\grave{ }$a} z^3+5 z^3 $Failed^{-1} +17 z^3 $Failed^{-1} +16 z^3 $Failed^{-1} +40 z^3 $Failed^{-1} +76 z^3 $Failed^{-1} +41 z^3 $Failed^{-1} +2 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} -10 z^2 $Failed^{-1} -17 z^2 $Failed^{-1} -14 z^2 $Failed^{-1} +2 z^2-z $Failed^{-1} -3 z $Failed^{-1} -5 z $Failed^{-1} -9 z $Failed^{-1} -16 z $Failed^{-1} -10 z $Failed^{-1} +2 $Failed^{-1} +2 $Failed^{-1} +3 $Failed^{-1} +2 $Failed^{-1} }

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