K14n472

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n472

Polynomial invariants

Jones polynomial	Data:K14n472/Jones Polynomial
Alexander polynomial	$-t^{4}+8t^{3}-26t^{2}+48t-57+48t^{-1}-26t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	Data:K14n472/Conway Polynomial
Determinant	Data:K14n472/Determinant
Signature	Data:K14n472/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-4}+3z^{6}a^{-2}-4z^{6}a^{-4}+z^{6}a^{-6}+10z^{4}a^{-2}-7z^{4}a^{-4}+2z^{4}a^{-6}-3z^{4}+a^{2}z^{2}+12z^{2}a^{-2}-6z^{2}a^{-4}+z^{2}a^{-6}-8z^{2}+2a^{2}+6a^{-2}-2a^{-4}-5$
Kauffman polynomial	$z^{12}a^{-2}+z^{12}a^{-4}+2z^{11}a^{-1}+7z^{11}a^{-3}+5z^{11}a^{-5}+3z^{10}a^{-2}+13z^{10}a^{-4}+11z^{10}a^{-6}+z^{10}-8z^{9}a^{-1}-18z^{9}a^{-3}+4z^{9}a^{-5}+14z^{9}a^{-7}-18z^{8}a^{-2}-42z^{8}a^{-4}-16z^{8}a^{-6}+11z^{8}a^{-8}-3z^{8}+3az^{7}+26z^{7}a^{-1}+27z^{7}a^{-3}-28z^{7}a^{-5}-27z^{7}a^{-7}+5z^{7}a^{-9}+a^{2}z^{6}+56z^{6}a^{-2}+64z^{6}a^{-4}-z^{6}a^{-6}-21z^{6}a^{-8}+z^{6}a^{-10}+14z^{6}-9az^{5}-33z^{5}a^{-1}-9z^{5}a^{-3}+33z^{5}a^{-5}+10z^{5}a^{-7}-8z^{5}a^{-9}-4a^{2}z^{4}-69z^{4}a^{-2}-46z^{4}a^{-4}+6z^{4}a^{-6}+8z^{4}a^{-8}-z^{4}a^{-10}-30z^{4}+8az^{3}+14z^{3}a^{-1}-6z^{3}a^{-3}-14z^{3}a^{-5}+2z^{3}a^{-9}+5a^{2}z^{2}+34z^{2}a^{-2}+16z^{2}a^{-4}-z^{2}a^{-6}-z^{2}a^{-8}+23z^{2}-2az-2za^{-1}+2za^{-3}+2za^{-5}-2a^{2}-6a^{-2}-2a^{-4}-5$

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