K14n12613

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12613

Polynomial invariants

Jones polynomial	Data:K14n12613/Jones Polynomial
Alexander polynomial	$-2t^{4}+15t^{3}-48t^{2}+90t-109+90t^{-1}-48t^{-2}+15t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n12613/Conway Polynomial
Determinant	Data:K14n12613/Determinant
Signature	Data:K14n12613/Signature
HOMFLY-PT polynomial	$-2z^{8}a^{-4}+4z^{6}a^{-2}-8z^{6}a^{-4}+3z^{6}a^{-6}+11z^{4}a^{-2}-13z^{4}a^{-4}+7z^{4}a^{-6}-z^{4}a^{-8}-2z^{4}+9z^{2}a^{-2}-8z^{2}a^{-4}+4z^{2}a^{-6}-z^{2}a^{-8}-3z^{2}+2a^{-2}-a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +14 z^{11} $Failed^{-1} +31 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +15 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} +37 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} +7 z^9 $Failed^{-1} -19 z^9 $Failed^{-1} -57 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +16 z^9 $Failed^{-1} -34 z^8 $Failed^{-1} -102 z^8 $Failed^{-1} -125 z^8 $Failed^{-1} -52 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} +z^8-4 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -40 z^7 $Failed^{-1} -35 z^7 $Failed^{-1} +z^7 $Failed^{-1} +62 z^6 $Failed^{-1} +127 z^6 $Failed^{-1} +116 z^6 $Failed^{-1} +31 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +10 z^6+3 \text{QuantumGroups$\grave{ }$a} z^5+8 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} +31 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -z^5 $Failed^{-1} -55 z^4 $Failed^{-1} -71 z^4 $Failed^{-1} -43 z^4 $Failed^{-1} -8 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -16 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3-11 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -16 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +18 z^2 $Failed^{-1} +16 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +7 z^2+\text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +4 z $Failed^{-1} +2 z $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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