#	Binary Dihedral Group D₄*
#
#	The quotient of the 3-sphere by the binary dihedral group D₄*
#	(of order 16) gives a prism space based on an octagonal prism.
#	The matrix elements lie in the field Q[√2].

  0.70710678118654752440 -0.70710678118654752440  0.00000000000000000000  0.00000000000000000000
  0.70710678118654752440  0.70710678118654752440  0.00000000000000000000  0.00000000000000000000
  0.00000000000000000000  0.00000000000000000000  0.70710678118654752440  0.70710678118654752440
  0.00000000000000000000  0.00000000000000000000 -0.70710678118654752440  0.70710678118654752440

  0.00000000000000000000  0.00000000000000000000 -1.00000000000000000000  0.00000000000000000000
  0.00000000000000000000  0.00000000000000000000  0.00000000000000000000 -1.00000000000000000000
  1.00000000000000000000  0.00000000000000000000  0.00000000000000000000  0.00000000000000000000
  0.00000000000000000000  1.00000000000000000000  0.00000000000000000000  0.00000000000000000000
