Rep 1 on [2, 1, 4, 3] (cycle pattern [2, 2]) is:
( 1,   0,   0 )
( 0,   -1,   0 )
( 0,   0,   -1 )
	Axis:  [1, 0, 0].
	Numerical Axis:  [1., 0, 0].
	Numerical Eigenvalues:  [-1., -1., 0].
	Reflection Direction:  [0, 1, 0].
	Numerical Reflection Direction:  [0, 0, 1.].
	Numerical Eigenvalues:  [-1., 0, 1.].


Rep 1 on [1, 4, 2, 3] (cycle pattern [3]) is:
( 0,   1,   0 )
( 0,   0,   1 )
( 1,   0,   0 )
	Axis:  [1/3*3^(1/2), 1/3*3^(1/2), 1/3*3^(1/2)].
	Numerical Axis:  [.5773502693, .5773502693, .5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [4, 1, 3, 2] (cycle pattern [3]) is:
( 0,   -1,   0 )
( 0,   0,   -1 )
( 1,   0,   0 )
	Axis:  [1/3*3^(1/2), -1/3*3^(1/2), 1/3*3^(1/2)].
	Numerical Axis:  [.5773502693, -.5773502693, .5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [2, 3, 1, 4] (cycle pattern [3]) is:
( 0,   1,   0 )
( 0,   0,   -1 )
( -1,   0,   0 )
	Axis:  [-1/3*3^(1/2), -1/3*3^(1/2), 1/3*3^(1/2)].
	Numerical Axis:  [-.5773502693, -.5773502693, .5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [1, 3, 4, 2] (cycle pattern [3]) is:
( 0,   0,   1 )
( 1,   0,   0 )
( 0,   1,   0 )
	Axis:  [1/3*3^(1/2), 1/3*3^(1/2), 1/3*3^(1/2)].
	Numerical Axis:  [.5773502693, .5773502693, .5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [4, 2, 1, 3] (cycle pattern [3]) is:
( 0,   0,   -1 )
( -1,   0,   0 )
( 0,   1,   0 )
	Axis:  [1/3*3^(1/2), -1/3*3^(1/2), -1/3*3^(1/2)].
	Numerical Axis:  [.5773502693, -.5773502693, -.5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [3, 4, 1, 2] (cycle pattern [2, 2]) is:
( -1,   0,   0 )
( 0,   1,   0 )
( 0,   0,   -1 )
	Axis:  [0, 1, 0].
	Numerical Axis:  [0, 1., 0].
	Numerical Eigenvalues:  [-1., -1., 0].
	Reflection Direction:  [1, 0, 0].
	Numerical Reflection Direction:  [0, 0, 1.].
	Numerical Eigenvalues:  [-1., 0, 1.].


Rep 1 on [3, 1, 2, 4] (cycle pattern [3]) is:
( 0,   0,   -1 )
( 1,   0,   0 )
( 0,   -1,   0 )
	Axis:  [-1/3*3^(1/2), -1/3*3^(1/2), 1/3*3^(1/2)].
	Numerical Axis:  [-.5773502693, -.5773502693, .5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [2, 4, 3, 1] (cycle pattern [3]) is:
( 0,   0,   1 )
( -1,   0,   0 )
( 0,   -1,   0 )
	Axis:  [-1/3*3^(1/2), 1/3*3^(1/2), -1/3*3^(1/2)].
	Numerical Axis:  [-.5773502693, .5773502693, -.5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [1, 2, 3, 4] (cycle pattern []) is:
( 1,   0,   0 )
( 0,   1,   0 )
( 0,   0,   1 )
	Axis:  [1, 0, 0].
	Numerical Axis:  [1., 0, 0].
	Numerical Eigenvalues:  [0, 1., 1.].


Rep 1 on [3, 2, 4, 1] (cycle pattern [3]) is:
( 0,   -1,   0 )
( 0,   0,   1 )
( -1,   0,   0 )
	Axis:  [-1/3*3^(1/2), 1/3*3^(1/2), 1/3*3^(1/2)].
	Numerical Axis:  [-.5773502693, .5773502693, .5773502693].
	Numerical Eigenvalues:  [-.5000000000+.8660254040*I, -.5000000000-.8660254040*I, -.1364210356e-9].


Rep 1 on [4, 3, 2, 1] (cycle pattern [2, 2]) is:
( -1,   0,   0 )
( 0,   -1,   0 )
( 0,   0,   1 )
	Axis:  [0, 0, 1].
	Numerical Axis:  [0, 0, 1.].
	Numerical Eigenvalues:  [-1., -1., 0].
	Reflection Direction:  [1, 0, 0].
	Numerical Reflection Direction:  [1., 0, 0].
	Numerical Eigenvalues:  [-1., 0, 1.].


Rep 2 on [2, 1, 4, 3] (cycle pattern [2, 2]) is:
( 1 )


Rep 2 on [1, 4, 2, 3] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 2 on [4, 1, 3, 2] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 2 on [2, 3, 1, 4] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 2 on [1, 3, 4, 2] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 2 on [4, 2, 1, 3] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 2 on [3, 4, 1, 2] (cycle pattern [2, 2]) is:
( 1 )


Rep 2 on [3, 1, 2, 4] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 2 on [2, 4, 3, 1] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 2 on [1, 2, 3, 4] (cycle pattern []) is:
( 1 )


Rep 2 on [3, 2, 4, 1] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 2 on [4, 3, 2, 1] (cycle pattern [2, 2]) is:
( 1 )


Rep 3 on [2, 1, 4, 3] (cycle pattern [2, 2]) is:
( 1 )


Rep 3 on [1, 4, 2, 3] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 3 on [4, 1, 3, 2] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 3 on [2, 3, 1, 4] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 3 on [1, 3, 4, 2] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 3 on [4, 2, 1, 3] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 3 on [3, 4, 1, 2] (cycle pattern [2, 2]) is:
( 1 )


Rep 3 on [3, 1, 2, 4] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 3 on [2, 4, 3, 1] (cycle pattern [3]) is:
( -1/2+1/2*I*3^(1/2) )


Rep 3 on [1, 2, 3, 4] (cycle pattern []) is:
( 1 )


Rep 3 on [3, 2, 4, 1] (cycle pattern [3]) is:
( -1/2-1/2*I*3^(1/2) )


Rep 3 on [4, 3, 2, 1] (cycle pattern [2, 2]) is:
( 1 )