K14a13517

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13517

Polynomial invariants

Jones polynomial	Data:K14a13517/Jones Polynomial
Alexander polynomial	$-5t^{4}+29t^{3}-81t^{2}+146t-177+146t^{-1}-81t^{-2}+29t^{-3}-5t^{-4}$
Conway polynomial	Data:K14a13517/Conway Polynomial
Determinant	Data:K14a13517/Determinant
Signature	Data:K14a13517/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-3z^{8}a^{-4}-z^{8}a^{-6}-12z^{6}a^{-4}-z^{6}a^{-6}+z^{6}a^{-8}+z^{6}+6z^{4}a^{-2}-20z^{4}a^{-4}+4z^{4}a^{-6}+2z^{4}a^{-8}+z^{4}+8z^{2}a^{-2}-14z^{2}a^{-4}+9z^{2}a^{-6}+2a^{-2}-3a^{-4}+4a^{-6}-2a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +18 z^{12} $Failed^{-1} +30 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +38 z^{11} $Failed^{-1} +61 z^{11} $Failed^{-1} +38 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +47 z^{10} $Failed^{-1} +42 z^{10} $Failed^{-1} -18 z^{10} $Failed^{-1} -2 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} +37 z^9 $Failed^{-1} -32 z^9 $Failed^{-1} -144 z^9 $Failed^{-1} -112 z^9 $Failed^{-1} -32 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -76 z^8 $Failed^{-1} -174 z^8 $Failed^{-1} -105 z^8 $Failed^{-1} -58 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +z^8 $Failed^{-1} +19 z^8+6 \text{QuantumGroups$\grave{ }$a} z^7-55 z^7 $Failed^{-1} -47 z^7 $Failed^{-1} +67 z^7 $Failed^{-1} +77 z^7 $Failed^{-1} +8 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+42 z^6 $Failed^{-1} +165 z^6 $Failed^{-1} +148 z^6 $Failed^{-1} +76 z^6 $Failed^{-1} +28 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -19 z^6-2 \text{QuantumGroups$\grave{ }$a} z^5+30 z^5 $Failed^{-1} +55 z^5 $Failed^{-1} +35 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} +24 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} -19 z^4 $Failed^{-1} -71 z^4 $Failed^{-1} -68 z^4 $Failed^{-1} -34 z^4 $Failed^{-1} -8 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +7 z^4-10 z^3 $Failed^{-1} -22 z^3 $Failed^{-1} -35 z^3 $Failed^{-1} -38 z^3 $Failed^{-1} -23 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +8 z^2 $Failed^{-1} +19 z^2 $Failed^{-1} +15 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} -z^2 $Failed^{-1} -2 z^2+2 z $Failed^{-1} +6 z $Failed^{-1} +9 z $Failed^{-1} +12 z $Failed^{-1} +8 z $Failed^{-1} +z $Failed^{-1} -2 $Failed^{-1} -3 $Failed^{-1} -4 $Failed^{-1} -2 $Failed^{-1} }

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