function ai = gweights(n)

% this generates the appropriate
% gaussian weihgts on the interval [-1,1]

switch n
	case 1	% this means n=1
		ai = [2];
	case 2	% this means n=2
		ai = [1,1];
	case 3	% this means n=3
		ai = [5/9, 8/9, 5/9];
	case 4	% this means n=4
		ai = [0.347854845137454, 0.652145154862546,...
			0.652145154862546, 0.347854845137454];
	case 5	% this means n=5
		ai = [0.236926885056189, 0.478628670499366,...
			0.568888888888889, 0.478628670499366, ...
			0.236926885056189];
	case 6	% this means n=6
		ai = [0.17132449237917, 0.360761573048139,...
			0.467913934572691, 0.467913934572691, ...
			0.360761573048139, 0.17132449237917];
end