K14a18754

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18754

Polynomial invariants

Jones polynomial	Data:K14a18754/Jones Polynomial
Alexander polynomial	$8t^{3}-46t^{2}+118t-159+118t^{-1}-46t^{-2}+8t^{-3}$
Conway polynomial	Data:K14a18754/Conway Polynomial
Determinant	Data:K14a18754/Determinant
Signature	Data:K14a18754/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+3z^{6}a^{-4}+3z^{6}a^{-6}+z^{6}a^{-8}-z^{4}a^{-2}+3z^{4}a^{-4}+3z^{4}a^{-6}-z^{4}a^{-8}-z^{4}a^{-10}-z^{4}+3z^{2}a^{-4}+3z^{2}a^{-6}+a^{-4}+a^{-6}-a^{-10}$
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 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +17 z^{12} $Failed^{-1} +29 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +30 z^{11} $Failed^{-1} +29 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +37 z^{10} $Failed^{-1} -13 z^{10} $Failed^{-1} -99 z^{10} $Failed^{-1} -44 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} +34 z^9 $Failed^{-1} -58 z^9 $Failed^{-1} -146 z^9 $Failed^{-1} -103 z^9 $Failed^{-1} -48 z^9 $Failed^{-1} +z^9 $Failed^{-1} +24 z^8 $Failed^{-1} -76 z^8 $Failed^{-1} -70 z^8 $Failed^{-1} +95 z^8 $Failed^{-1} +44 z^8 $Failed^{-1} -21 z^8 $Failed^{-1} +13 z^7 $Failed^{-1} -59 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} +192 z^7 $Failed^{-1} +180 z^7 $Failed^{-1} +69 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} -30 z^6 $Failed^{-1} +46 z^6 $Failed^{-1} +101 z^6 $Failed^{-1} -16 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +27 z^6 $Failed^{-1} +5 z^6+\text{QuantumGroups$\grave{ }$a} z^5-10 z^5 $Failed^{-1} +31 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -111 z^5 $Failed^{-1} -132 z^5 $Failed^{-1} -43 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} +10 z^4 $Failed^{-1} -8 z^4 $Failed^{-1} -51 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} -11 z^4 $Failed^{-1} -2 z^4+z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +28 z^3 $Failed^{-1} +50 z^3 $Failed^{-1} +20 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -z^2 $Failed^{-1} +10 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} -z^2 $Failed^{-1} +z^2 $Failed^{-1} -z $Failed^{-1} -3 z $Failed^{-1} -9 z $Failed^{-1} -7 z $Failed^{-1} + $Failed^{-1} - $Failed^{-1} + $Failed^{-1} }

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