K14a18854

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18854

Polynomial invariants

Jones polynomial	Data:K14a18854/Jones Polynomial
Alexander polynomial	$4t^{4}-18t^{3}+35t^{2}-43t+45-43t^{-1}+35t^{-2}-18t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a18854/Conway Polynomial
Determinant	Data:K14a18854/Determinant
Signature	Data:K14a18854/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+2z^{8}a^{-4}+z^{8}a^{-6}+3z^{6}a^{-2}+9z^{6}a^{-4}+4z^{6}a^{-6}-z^{6}a^{-8}-z^{6}-z^{4}a^{-2}+11z^{4}a^{-4}+4z^{4}a^{-6}-4z^{4}a^{-8}-3z^{4}-5z^{2}a^{-2}+5z^{2}a^{-4}+2z^{2}a^{-6}-3z^{2}a^{-8}-2a^{-2}+a^{-4}+2$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +5 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +6 z^{12} $Failed^{-1} +6 z^{11} $Failed^{-1} +z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} -21 z^{10} $Failed^{-1} -55 z^{10} $Failed^{-1} -20 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +4 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-31 z^9 $Failed^{-1} -38 z^9 $Failed^{-1} -48 z^9 $Failed^{-1} -33 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +23 z^8 $Failed^{-1} +110 z^8 $Failed^{-1} +25 z^8 $Failed^{-1} -33 z^8 $Failed^{-1} +7 z^8 $Failed^{-1} -22 z^8-5 \text{QuantumGroups$\grave{ }$a} z^7+50 z^7 $Failed^{-1} +86 z^7 $Failed^{-1} +112 z^7 $Failed^{-1} +52 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -9 z^6 $Failed^{-1} -126 z^6 $Failed^{-1} -15 z^6 $Failed^{-1} +47 z^6 $Failed^{-1} -14 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +38 z^6+7 \text{QuantumGroups$\grave{ }$a} z^5-29 z^5 $Failed^{-1} -90 z^5 $Failed^{-1} -129 z^5 $Failed^{-1} -37 z^5 $Failed^{-1} +28 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} +12 z^4 $Failed^{-1} +70 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} -21 z^4-2 \text{QuantumGroups$\grave{ }$a} z^3+8 z^3 $Failed^{-1} +49 z^3 $Failed^{-1} +60 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -10 z^2 $Failed^{-1} -13 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +z^2 $Failed^{-1} +2 z^2 $Failed^{-1} -3 z $Failed^{-1} -9 z $Failed^{-1} -7 z $Failed^{-1} +z $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +2}

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