$6$-dimensional FJRW theories of the simple–elliptic singularities

We give explicitly in the closed formulae genus zero primary potentials of three 6-dimensional FJRW theories simple-elliptic singularity $\tilde E_7$ with non-maximal symmetry groups. For each these we establish CY/LG correspondence to Gromov-Witten theory orbifold $[\mathcal{E}/ (\mathbb{Z}/2\mathbb{Z})]$ --- quotient elliptic curve by hyperelliptic involution. Namely, Givental's group elements, whose actions on partition function Gromov--Witten up a linear change variables functions mentioned. keep track changes needed. show that using only axioms Fan--Jarvis--Ruan, potential can be reconstructed scaling.