A closed flat Seifert orbifold (the underlying space is S³) with two inequivalent fibrations. Green fibres are circles, red fibres are intervals and the singular locus is in black. The one on the left has base orbifold a disc with four corner points on the boundary, and the local invariant of each corner point is |$1/2$|⁠. The one on the right has base orbifold a disc with two cone points in the interior, both with local invariant |$0/2$|⁠. The boundary invariant and Euler number vanish for both fibrations. These fibrations appear in the fourth line of Theorem A.