K14n27338

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27338

Polynomial invariants

Jones polynomial	Data:K14n27338/Jones Polynomial
Alexander polynomial	$-6t^{3}+25t^{2}-49t+61-49t^{-1}+25t^{-2}-6t^{-3}$
Conway polynomial	Data:K14n27338/Conway Polynomial
Determinant	Data:K14n27338/Determinant
Signature	Data:K14n27338/Signature
HOMFLY-PT polynomial	$-2z^{6}a^{-4}-3z^{6}a^{-6}-z^{6}a^{-8}+2z^{4}a^{-2}-4z^{4}a^{-4}-9z^{4}a^{-6}-z^{4}a^{-8}+z^{4}a^{-10}+4z^{2}a^{-2}-10z^{2}a^{-6}+z^{2}a^{-8}+2z^{2}a^{-10}+2a^{-2}+2a^{-4}-5a^{-6}+a^{-8}+a^{-10}$
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 2 z^{12} a^{-6} +2 z^{12} a^{-8} +4 z^{11} a^{-5} +10 z^{11} a^{-7} +6 z^{11} a^{-9} +3 z^{10} a^{-4} +5 z^{10} a^{-8} +8 z^{10} a^{-10} +z^9 a^{-3} -11 z^9 a^{-5} -35 z^9 a^{-7} -15 z^9 a^{-9} +8 z^9 a^{-11} -4 z^8 a^{-4} -3 z^8 a^{-6} -25 z^8 a^{-8} -20 z^8 a^{-10} +6 z^8 a^{-12} +3 z^7 a^{-3} +24 z^7 a^{-5} +73 z^7 a^{-7} +29 z^7 a^{-9} -20 z^7 a^{-11} +3 z^7 a^{-13} +3 z^6 a^{-2} +z^6 a^{-4} +3 z^6 a^{-6} +48 z^6 a^{-8} +27 z^6 a^{-10} -15 z^6 a^{-12} +z^6 a^{-14} -12 z^5 a^{-3} -36 z^5 a^{-5} -89 z^5 a^{-7} -36 z^5 a^{-9} +22 z^5 a^{-11} -7 z^5 a^{-13} -9 z^4 a^{-2} -6 z^4 a^{-4} -38 z^4 a^{-8} -19 z^4 a^{-10} +13 z^4 a^{-12} -3 z^4 a^{-14} +6 z^3 a^{-3} +21 z^3 a^{-5} +61 z^3 a^{-7} +30 z^3 a^{-9} -13 z^3 a^{-11} +3 z^3 a^{-13} +8 z^2 a^{-2} +z^2 a^{-4} -9 z^2 a^{-6} +13 z^2 a^{-8} +7 z^2 a^{-10} -6 z^2 a^{-12} +2 z^2 a^{-14} +z a^{-3} -7 z a^{-5} -18 z a^{-7} -8 z a^{-9} +2 z a^{-11} -2 a^{-2} +2 a^{-4} +5 a^{-6} + a^{-8} - a^{-10} }

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