/*  

 N=6
 M=3

 unique solution

 squared length of multipoles: 
   [ 1/7, 0, 0, 0, 6/11,   0, 24/77 ]

 cumulative squared lengths A_M:
        [ 0, 0, 0, 6/11, 6/11, 6/7 ]

 equitorial triangle

 symmetry group Z_2 x S_4

 configuration:
   [  0,  0,  1 ],
   [  1,  0,  0 ],
   [ -1,  0,  0 ],
   [  0,  1,  0 ],
   [  0, -1,  0 ],
   [  0,  0, -1 ]


*/

psi6:=[ 0, 1/2*Sqrt(2), 0, 0, -1/2*Sqrt(2), 0 ];