K14n27355

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27355

Polynomial invariants

Jones polynomial	Data:K14n27355/Jones Polynomial
Alexander 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 -3 t^4+14 t^3-34 t^2+56 t-65+56 t^{-1} -34 t^{-2} +14 t^{-3} -3 t^{-4} }
Conway polynomial	Data:K14n27355/Conway Polynomial
Determinant	Data:K14n27355/Determinant
Signature	Data:K14n27355/Signature
HOMFLY-PT polynomial	$-2z^{8}a^{-4}-z^{8}a^{-6}+2z^{6}a^{-2}-10z^{6}a^{-4}-3z^{6}a^{-6}+z^{6}a^{-8}+7z^{4}a^{-2}-18z^{4}a^{-4}-2z^{4}a^{-6}+3z^{4}a^{-8}+8z^{2}a^{-2}-12z^{2}a^{-4}-z^{2}a^{-6}+3z^{2}a^{-8}+3a^{-2}-a^{-4}-3a^{-6}+2a^{-8}$
Kauffman polynomial	$3z^{12}a^{-6}+3z^{12}a^{-8}+9z^{11}a^{-5}+17z^{11}a^{-7}+8z^{11}a^{-9}+12z^{10}a^{-4}+15z^{10}a^{-6}+11z^{10}a^{-8}+8z^{10}a^{-10}+9z^{9}a^{-3}-9z^{9}a^{-5}-44z^{9}a^{-7}-22z^{9}a^{-9}+4z^{9}a^{-11}+4z^{8}a^{-2}-21z^{8}a^{-4}-60z^{8}a^{-6}-66z^{8}a^{-8}-30z^{8}a^{-10}+z^{8}a^{-12}+z^{7}a^{-1}-7z^{7}a^{-3}-13z^{7}a^{-5}+19z^{7}a^{-7}+9z^{7}a^{-9}-15z^{7}a^{-11}+7z^{6}a^{-2}+21z^{6}a^{-4}+57z^{6}a^{-6}+84z^{6}a^{-8}+37z^{6}a^{-10}-4z^{6}a^{-12}+7z^{5}a^{-1}+2z^{5}a^{-3}+19z^{5}a^{-5}+13z^{5}a^{-7}+6z^{5}a^{-9}+17z^{5}a^{-11}-12z^{4}a^{-2}-22z^{4}a^{-4}-21z^{4}a^{-6}-42z^{4}a^{-8}-23z^{4}a^{-10}+5z^{4}a^{-12}+3z^{4}-5z^{3}a^{-1}-z^{3}a^{-3}-11z^{3}a^{-5}-7z^{3}a^{-7}+z^{3}a^{-9}-7z^{3}a^{-11}+9z^{2}a^{-2}+14z^{2}a^{-4}-z^{2}a^{-6}+7z^{2}a^{-8}+9z^{2}a^{-10}-2z^{2}a^{-12}-2z^{2}+2za^{-3}+za^{-5}-5za^{-7}-3za^{-9}+za^{-11}-3a^{-2}-a^{-4}+3a^{-6}+2a^{-8}$

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.