K14a6593

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6593

Polynomial invariants

Jones polynomial	Data:K14a6593/Jones Polynomial
Alexander polynomial	$-3t^{4}+21t^{3}-68t^{2}+134t-167+134t^{-1}-68t^{-2}+21t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a6593/Conway Polynomial
Determinant	Data:K14a6593/Determinant
Signature	Data:K14a6593/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-2z^{6}a^{-2}-7z^{6}a^{-4}+5z^{6}a^{-6}+z^{6}-z^{4}a^{-2}-12z^{4}a^{-4}+13z^{4}a^{-6}-4z^{4}a^{-8}+2z^{4}+2z^{2}a^{-2}-7z^{2}a^{-4}+11z^{2}a^{-6}-5z^{2}a^{-8}+z^{2}a^{-10}+z^{2}+a^{-2}+a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +13 z^{12} $Failed^{-1} +25 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +25 z^{11} $Failed^{-1} +51 z^{11} $Failed^{-1} +45 z^{11} $Failed^{-1} +19 z^{11} $Failed^{-1} +29 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} -6 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +23 z^9 $Failed^{-1} -26 z^9 $Failed^{-1} -142 z^9 $Failed^{-1} -143 z^9 $Failed^{-1} -44 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} -52 z^8 $Failed^{-1} -145 z^8 $Failed^{-1} -152 z^8 $Failed^{-1} -117 z^8 $Failed^{-1} -44 z^8 $Failed^{-1} +z^8 $Failed^{-1} +13 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-40 z^7 $Failed^{-1} -23 z^7 $Failed^{-1} +109 z^7 $Failed^{-1} +113 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+40 z^6 $Failed^{-1} +185 z^6 $Failed^{-1} +241 z^6 $Failed^{-1} +158 z^6 $Failed^{-1} +40 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} -19 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+29 z^5 $Failed^{-1} +47 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4-17 z^4 $Failed^{-1} -104 z^4 $Failed^{-1} -142 z^4 $Failed^{-1} -81 z^4 $Failed^{-1} -15 z^4 $Failed^{-1} +z^4 $Failed^{-1} +9 z^4+\text{QuantumGroups$\grave{ }$a} z^3-10 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -19 z^3 $Failed^{-1} -20 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +6 z^2 $Failed^{-1} +24 z^2 $Failed^{-1} +31 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -2 z^2+z $Failed^{-1} +3 z $Failed^{-1} +3 z $Failed^{-1} +4 z $Failed^{-1} +3 z $Failed^{-1} - $Failed^{-1} - $Failed^{-1} - $Failed^{-1} }

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