K14a1363

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1363

Polynomial invariants

Jones polynomial	Data:K14a1363/Jones Polynomial
Alexander polynomial	$-4t^{4}+26t^{3}-79t^{2}+147t-179+147t^{-1}-79t^{-2}+26t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a1363/Conway Polynomial
Determinant	Data:K14a1363/Determinant
Signature	Data:K14a1363/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-3z^{8}a^{-4}-z^{6}a^{-2}-12z^{6}a^{-4}+6z^{6}a^{-6}+z^{6}+z^{4}a^{-2}-20z^{4}a^{-4}+18z^{4}a^{-6}-4z^{4}a^{-8}+2z^{4}+z^{2}a^{-2}-13z^{2}a^{-4}+18z^{2}a^{-6}-8z^{2}a^{-8}+z^{2}a^{-10}+2z^{2}-2a^{-4}+5a^{-6}-4a^{-8}+a^{-10}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +16 z^{12} $Failed^{-1} +27 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +34 z^{11} $Failed^{-1} +67 z^{11} $Failed^{-1} +49 z^{11} $Failed^{-1} +16 z^{11} $Failed^{-1} +40 z^{10} $Failed^{-1} +48 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +16 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +30 z^9 $Failed^{-1} -30 z^9 $Failed^{-1} -161 z^9 $Failed^{-1} -137 z^9 $Failed^{-1} -31 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -70 z^8 $Failed^{-1} -197 z^8 $Failed^{-1} -196 z^8 $Failed^{-1} -119 z^8 $Failed^{-1} -34 z^8 $Failed^{-1} +z^8 $Failed^{-1} +15 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-51 z^7 $Failed^{-1} -42 z^7 $Failed^{-1} +95 z^7 $Failed^{-1} +97 z^7 $Failed^{-1} +z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+53 z^6 $Failed^{-1} +220 z^6 $Failed^{-1} +270 z^6 $Failed^{-1} +162 z^6 $Failed^{-1} +36 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -19 z^6-4 \text{QuantumGroups$\grave{ }$a} z^5+45 z^5 $Failed^{-1} +67 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +30 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4-18 z^4 $Failed^{-1} -120 z^4 $Failed^{-1} -163 z^4 $Failed^{-1} -97 z^4 $Failed^{-1} -19 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +13 z^4-19 z^3 $Failed^{-1} -30 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +2 z^2 $Failed^{-1} +32 z^2 $Failed^{-1} +48 z^2 $Failed^{-1} +30 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} -z^2 $Failed^{-1} -5 z^2+2 z $Failed^{-1} +4 z $Failed^{-1} +2 z $Failed^{-1} +3 z $Failed^{-1} +5 z $Failed^{-1} +2 z $Failed^{-1} -2 $Failed^{-1} -5 $Failed^{-1} -4 $Failed^{-1} - $Failed^{-1} +1}

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