In most cases, there is a formula available to find the optic axis of a biaxial crystal, if the refractive index is n1>n2>n3 or n3>n2>n1. But how to find the optic axis for biaxial crystal, if the refractive index of the crystal is n2>n3>n1?
When working with a biaxial crystal (triclinic, monoclinic, orthorhombic) you are dealing with two optic axes, corresponding to the two circular sections of the optical indicatrices. Formulas are useful, of course, but a simple drawing ( hand made) should be better...