K14a7746

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7746

Polynomial invariants

Jones polynomial	Data:K14a7746/Jones Polynomial
Alexander polynomial	$4t^{4}-22t^{3}+53t^{2}-80t+91-80t^{-1}+53t^{-2}-22t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a7746/Conway Polynomial
Determinant	Data:K14a7746/Determinant
Signature	Data:K14a7746/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+2z^{8}a^{-4}+z^{8}a^{-6}+3z^{6}a^{-2}+7z^{6}a^{-4}+2z^{6}a^{-6}-z^{6}a^{-8}-z^{6}+3z^{4}a^{-2}+5z^{4}a^{-4}-2z^{4}a^{-6}-2z^{4}a^{-8}-3z^{4}+5z^{2}a^{-2}-3z^{2}a^{-4}-3z^{2}a^{-6}+z^{2}a^{-8}-2z^{2}+4a^{-2}-4a^{-4}+a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +7 z^{12} $Failed^{-1} +18 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +7 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +20 z^{11} $Failed^{-1} +20 z^{11} $Failed^{-1} -23 z^{10} $Failed^{-1} -60 z^{10} $Failed^{-1} -7 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} +4 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-31 z^9 $Failed^{-1} -65 z^9 $Failed^{-1} -93 z^9 $Failed^{-1} -34 z^9 $Failed^{-1} +26 z^9 $Failed^{-1} +10 z^8 $Failed^{-1} +53 z^8 $Failed^{-1} -46 z^8 $Failed^{-1} -49 z^8 $Failed^{-1} +20 z^8 $Failed^{-1} -20 z^8-5 \text{QuantumGroups$\grave{ }$a} z^7+43 z^7 $Failed^{-1} +104 z^7 $Failed^{-1} +103 z^7 $Failed^{-1} -9 z^7 $Failed^{-1} -44 z^7 $Failed^{-1} +12 z^7 $Failed^{-1} +25 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +53 z^6 $Failed^{-1} +20 z^6 $Failed^{-1} -25 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +34 z^6+8 \text{QuantumGroups$\grave{ }$a} z^5-22 z^5 $Failed^{-1} -62 z^5 $Failed^{-1} -25 z^5 $Failed^{-1} +40 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +z^5 $Failed^{-1} -31 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -24 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3+5 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} -23 z^3 $Failed^{-1} -26 z^3 $Failed^{-1} -z^3 $Failed^{-1} +z^3 $Failed^{-1} +18 z^2 $Failed^{-1} +11 z^2 $Failed^{-1} -8 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +7 z^2-z $Failed^{-1} +3 z $Failed^{-1} +11 z $Failed^{-1} +7 z $Failed^{-1} -4 $Failed^{-1} -4 $Failed^{-1} + $Failed^{-1} }

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