Virtual invariant pairs: $S: BQ^4_{2} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{10} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , \iota , \iota , \iota)$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{11} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{12} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{13} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{1} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $S: BQ^4_{2} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{2} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{2} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{3} \quad U = (\iota , \iota , (2 4 3) , (2 3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{4} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{5} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{6} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{7} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{8} \quad U = (\iota , \iota , \iota , (2 3)) \quad D = (\iota , \iota , \iota , (2 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{8} \quad U = (\iota , \iota , \iota , (2 3)) \quad D = (\iota , \iota , \iota , (2 3))$\hfil\break $S: BQ^4_{10} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , \iota , \iota , \iota)$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{11} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{12} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{13} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{45} \quad U = ((1 2) , (1 2)(3 4) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{45} \quad U = ((1 2) , (1 2)(3 4) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{46} \quad U = ((1 2) , (1 2)(3 4) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{9} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = (\iota , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{10} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , \iota , \iota , \iota)$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{10} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , \iota , \iota , \iota)$\hfil\break $T: BQ^4_{45} \quad U = ((1 2) , (1 2)(3 4) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{10} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , \iota , \iota , \iota)$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{11} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{11} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , \iota , (3 4) , (3 4))$\hfil\break $T: BQ^4_{45} \quad U = ((1 2) , (1 2)(3 4) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{11} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , \iota , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{12} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{12} \quad U = (\iota , (3 4) , \iota , \iota) \quad D = ((3 4) , (3 4) , \iota , \iota)$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{13} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{13} \quad U = (\iota , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{17} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{18} \quad U = (\iota , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{36} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $S: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: Q^4_{2} \quad U = ((2 4 3) , \iota , \iota , \iota) \quad D = \iota$\hfil\break $T: BQ^4_{16} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = (\iota , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{17} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{17} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $S: BQ^4_{17} \quad U = (\iota , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{18} \quad U = (\iota , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{18} \quad U = (\iota , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $S: BQ^4_{18} \quad U = (\iota , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{19} \quad U = (\iota , (1 3)(2 4) , (1 4)(2 3) , (1 2)(3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{21} \quad U = (\iota , \iota , (1 2)(3 4) , (3 4)) \quad D = (\iota , \iota , (3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{20} \quad U = (\iota , \iota , (3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{22} \quad U = (\iota , \iota , \iota , (1 2 3)) \quad D = (\iota , \iota , \iota , (1 2 3))$\hfil\break $T: BQ^4_{23} \quad U = (\iota , \iota , \iota , (1 3 2)) \quad D = (\iota , \iota , \iota , (1 2 3))$\hfil\break $S: BQ^4_{22} \quad U = (\iota , \iota , \iota , (1 2 3)) \quad D = (\iota , \iota , \iota , (1 2 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{34} \quad U = (\iota , \iota , \iota , (1 3 2)) \quad D = ((2 3) , (1 3) , (1 2) , (1 2 3))$\hfil\break $T: BQ^4_{23} \quad U = (\iota , \iota , \iota , (1 3 2)) \quad D = (\iota , \iota , \iota , (1 2 3))$\hfil\break $S: BQ^4_{23} \quad U = (\iota , \iota , \iota , (1 3 2)) \quad D = (\iota , \iota , \iota , (1 2 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{23} \quad U = (\iota , \iota , \iota , (1 3 2)) \quad D = (\iota , \iota , \iota , (1 2 3))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{24} \quad U = (\iota , \iota , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{25} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = (\iota , \iota , (1 2) , (1 2))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{26} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{27} \quad U = (\iota , \iota , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{28} \quad U = (\iota , \iota , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{30} \quad U = ((3 4) , (3 4) , (3 4) , (3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{31} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{32} \quad U = ((3 4) , (3 4) , (1 2) , (1 2)) \quad D = ((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{33} \quad U = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{36} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{36} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $S: BQ^4_{36} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{38} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 3) , (3 4) , (2 4))$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $S: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{41} \quad U = ((2 3 4) , (1 3 2) , (1 4 3) , (1 2 4)) \quad D = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: Q^4_{2} \quad U = ((2 4 3) , \iota , \iota , \iota) \quad D = \iota$\hfil\break $T: BQ^4_{39} \quad U = ((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4)) \quad D = ((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))$\hfil\break $S: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $S: Q^4_{2} \quad U = ((2 4 3) , \iota , \iota , \iota) \quad D = \iota$\hfil\break $T: BQ^4_{40} \quad U = ((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3)) \quad D = ((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{42} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{43} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{44} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{46} \quad U = ((1 2) , (1 2)(3 4) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2) , (3 4) , (3 4))$\hfil\break $T: BQ^4_{45} \quad U = ((1 2) , (1 2)(3 4) , (3 4) , (3 4)) \quad D = ((1 2) , (1 2)(3 4) , (3 4) , (3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{47} \quad U = ((1 2) , (1 2) , (3 4) , (3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{48} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{49} \quad U = ((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: BQ^4_{53} \quad U = ((1 2 3 4) , (1 4 3 2) , (1 2 3 4) , (1 4 3 2)) \quad D = ((1 2 3 4) , (1 4 3 2) , (1 2 3 4) , (1 4 3 2))$\hfil\break $S: BQ^4_{53} \quad U = ((1 2 3 4) , (1 4 3 2) , (1 2 3 4) , (1 4 3 2)) \quad D = ((1 2 3 4) , (1 4 3 2) , (1 2 3 4) , (1 4 3 2))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{54} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 3 4 2) , (1 2 4 3) , (1 2 4 3) , (1 3 4 2))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{56} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 3 2) , (1 2 4) , (1 4 3) , (2 3 4))$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: Q^4_{6} \quad U = ((2 4) , (1 3) , (2 4) , (1 3)) \quad D = \iota$\hfil\break $T: BQ^4_{50} \quad U = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4)) \quad D = ((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))$\hfil\break $S: BQ^4_{51} \quad U = ((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4)) \quad D = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3))$\hfil\break $T: BQ^4_{55} \quad U = ((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4)) \quad D = ((1 3)(2 4) , (1 2)(3 4) , (1 2)(3 4) , (1 3)(2 4))$\hfil\break $S: BQ^4_{51} \quad U = ((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4)) \quad D = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3))$\hfil\break $T: BQ^4_{57} \quad U = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3)) \quad D = ((1 3 4 2) , (1 3 4 2) , (1 3 4 2) , (1 3 4 2))$\hfil\break $S: BQ^4_{51} \quad U = ((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4)) \quad D = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: BQ^4_{55} \quad U = ((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4)) \quad D = ((1 3)(2 4) , (1 2)(3 4) , (1 2)(3 4) , (1 3)(2 4))$\hfil\break $T: BQ^4_{57} \quad U = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3)) \quad D = ((1 3 4 2) , (1 3 4 2) , (1 3 4 2) , (1 3 4 2))$\hfil\break $S: BQ^4_{57} \quad U = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3)) \quad D = ((1 3 4 2) , (1 3 4 2) , (1 3 4 2) , (1 3 4 2))$\hfil\break $T: BQ^4_{55} \quad U = ((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4)) \quad D = ((1 3)(2 4) , (1 2)(3 4) , (1 2)(3 4) , (1 3)(2 4))$\hfil\break $S: BQ^4_{57} \quad U = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3)) \quad D = ((1 3 4 2) , (1 3 4 2) , (1 3 4 2) , (1 3 4 2))$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $T: BQ^4_{57} \quad U = ((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3)) \quad D = ((1 3 4 2) , (1 3 4 2) , (1 3 4 2) , (1 3 4 2))$\hfil\break $S: Q^4_{2} \quad U = ((2 4 3) , \iota , \iota , \iota) \quad D = \iota$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{4} \quad U = ((2 4) , \iota , \iota , \iota) \quad D = \iota$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{5} \quad U = ((2 4) , \iota , (2 4) , \iota) \quad D = \iota$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break $S: Q^4_{6} \quad U = ((2 4) , (1 3) , (2 4) , (1 3)) \quad D = \iota$\hfil\break $T: Q^4_{1} \quad U = \iota \quad D = \iota$\hfil\break