Why do you calculate the determinant of the Fundamental Matrix and not the Essential Matrix?

[SubMishMar]

Thanks for your work. It is helping me understanding Nister's paper. But I am confused by do you consider the determinant of F and not E? Referring to lines here -

five_point_algorithm/five_point_algorithm.m

Lines 82 to 96 in 47a6669

	detF = p2p1(p1p1([X_(1,2),Y_(1,2),Z_(1,2),W_(1,2)], ...
	[X_(2,3),Y_(2,3),Z_(2,3),W_(2,3)]) ...
	- p1p1([X_(1,3),Y_(1,3),Z_(1,3),W_(1,3)], ...
	[X_(2,2),Y_(2,2),Z_(2,2),W_(2,2)]),...
	[X_(3,1),Y_(3,1),Z_(3,1),W_(3,1)]) + ...
	p2p1(p1p1([X_(1,3),Y_(1,3),Z_(1,3),W_(1,3)], ...
	[X_(2,1),Y_(2,1),Z_(2,1),W_(2,1)]) ...
	- p1p1([X_(1,1),Y_(1,1),Z_(1,1),W_(1,1)], ...
	[X_(2,3),Y_(2,3),Z_(2,3),W_(2,3)]),...
	[X_(3,2),Y_(3,2),Z_(3,2),W_(3,2)]) + ...
	p2p1(p1p1([X_(1,1),Y_(1,1),Z_(1,1),W_(1,1)], ...
	[X_(2,2),Y_(2,2),Z_(2,2),W_(2,2)]) ...
	- p1p1([X_(1,2),Y_(1,2),Z_(1,2),W_(1,2)], ...
	[X_(2,1),Y_(2,1),Z_(2,1),W_(2,1)]),...
	[X_(3,3),Y_(3,3),Z_(3,3),W_(3,3)]);