K14a2993

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2993

Polynomial invariants

Jones polynomial	Data:K14a2993/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-29t^{3}+63t^{2}-93t+105-93t^{-1}+63t^{-2}-29t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2993/Conway Polynomial
Determinant	Data:K14a2993/Determinant
Signature	Data:K14a2993/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+2z^{8}a^{-2}-6z^{8}a^{-4}+2z^{8}a^{-6}+9z^{6}a^{-2}-16z^{6}a^{-4}+9z^{6}a^{-6}-z^{6}a^{-8}-z^{6}+14z^{4}a^{-2}-23z^{4}a^{-4}+14z^{4}a^{-6}-3z^{4}a^{-8}-3z^{4}+10z^{2}a^{-2}-15z^{2}a^{-4}+10z^{2}a^{-6}-2z^{2}a^{-8}-2z^{2}+3a^{-2}-4a^{-4}+3a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +7 z^{12} $Failed^{-1} +17 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +9 z^{11} $Failed^{-1} +26 z^{11} $Failed^{-1} +40 z^{11} $Failed^{-1} +23 z^{11} $Failed^{-1} -5 z^{10} $Failed^{-1} -9 z^{10} $Failed^{-1} +33 z^{10} $Failed^{-1} +32 z^{10} $Failed^{-1} +5 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-34 z^9 $Failed^{-1} -111 z^9 $Failed^{-1} -121 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +31 z^9 $Failed^{-1} -65 z^8 $Failed^{-1} -138 z^8 $Failed^{-1} -168 z^8 $Failed^{-1} -50 z^8 $Failed^{-1} +23 z^8 $Failed^{-1} -22 z^8-4 \text{QuantumGroups$\grave{ }$a} z^7+36 z^7 $Failed^{-1} +109 z^7 $Failed^{-1} +49 z^7 $Failed^{-1} -80 z^7 $Failed^{-1} -47 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} +137 z^6 $Failed^{-1} +244 z^6 $Failed^{-1} +182 z^6 $Failed^{-1} +7 z^6 $Failed^{-1} -28 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +35 z^6+6 \text{QuantumGroups$\grave{ }$a} z^5+6 z^5 $Failed^{-1} +81 z^5 $Failed^{-1} +103 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +z^5 $Failed^{-1} -96 z^4 $Failed^{-1} -143 z^4 $Failed^{-1} -76 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -24 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3-16 z^3 $Failed^{-1} -41 z^3 $Failed^{-1} -65 z^3 $Failed^{-1} -48 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +25 z^2 $Failed^{-1} +35 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} -z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +6 z^2+\text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} +11 z $Failed^{-1} +13 z $Failed^{-1} +9 z $Failed^{-1} +3 z $Failed^{-1} -3 $Failed^{-1} -4 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }

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