K14a18134

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18134

Polynomial invariants

Jones polynomial	Data:K14a18134/Jones Polynomial
Alexander polynomial	$4t^{4}-20t^{3}+46t^{2}-65t+71-65t^{-1}+46t^{-2}-20t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a18134/Conway Polynomial
Determinant	Data:K14a18134/Determinant
Signature	Data:K14a18134/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+2z^{8}a^{-4}+z^{8}a^{-6}+3z^{6}a^{-2}+8z^{6}a^{-4}+3z^{6}a^{-6}-z^{6}a^{-8}-z^{6}+z^{4}a^{-2}+9z^{4}a^{-4}+2z^{4}a^{-6}-3z^{4}a^{-8}-3z^{4}+4z^{2}a^{-4}+2z^{2}a^{-6}-2z^{2}a^{-8}-z^{2}+a^{-2}+a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +7 z^{12} $Failed^{-1} +16 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +7 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} -32 z^{10} $Failed^{-1} -72 z^{10} $Failed^{-1} -16 z^{10} $Failed^{-1} +20 z^{10} $Failed^{-1} +4 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-36 z^9 $Failed^{-1} -45 z^9 $Failed^{-1} -60 z^9 $Failed^{-1} -32 z^9 $Failed^{-1} +20 z^9 $Failed^{-1} +49 z^8 $Failed^{-1} +129 z^8 $Failed^{-1} -5 z^8 $Failed^{-1} -49 z^8 $Failed^{-1} +15 z^8 $Failed^{-1} -21 z^8-5 \text{QuantumGroups$\grave{ }$a} z^7+61 z^7 $Failed^{-1} +106 z^7 $Failed^{-1} +103 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -45 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -35 z^6 $Failed^{-1} -126 z^6 $Failed^{-1} +18 z^6 $Failed^{-1} +46 z^6 $Failed^{-1} -25 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} +34 z^6+7 \text{QuantumGroups$\grave{ }$a} z^5-41 z^5 $Failed^{-1} -106 z^5 $Failed^{-1} -90 z^5 $Failed^{-1} +24 z^5 $Failed^{-1} +44 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +z^5 $Failed^{-1} +15 z^4 $Failed^{-1} +54 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} +16 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} -17 z^4-2 \text{QuantumGroups$\grave{ }$a} z^3+13 z^3 $Failed^{-1} +45 z^3 $Failed^{-1} +32 z^3 $Failed^{-1} -20 z^3 $Failed^{-1} -18 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -z^3 $Failed^{-1} -2 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +2 z^2-2 z $Failed^{-1} -5 z $Failed^{-1} -3 z $Failed^{-1} +4 z $Failed^{-1} +4 z $Failed^{-1} - $Failed^{-1} - $Failed^{-1} - $Failed^{-1} }

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