/*  

 N=7
 M=2

 length of multipoles: 
   [ 1/8, 0, 0, 833/21384, 196/891, 5537/25272, 1105/7128, 5605/23166 ]

 cumulative squared lengths A_M:
  [ 0, 0, 833/21384, 5537/21384, 5537/11583, 58661/92664, 7/8 ]

 two twisted triangles and pole

 symmetry group S_3

 configuration:

   [ 0.960495056925814803320367543850,  0.000000000000000000000000000000, -0.278297045656391725234391247409],
   [ 0.397528047204189515708473375799, -0.688538775191295224058570751391,  0.606535907217449648538466723935],
   [ 0.397528047204189515708473375799,  0.688538775191295224058570751391,  0.606535907217449648538466723935],
   [-0.795056094408379031416946751599,  0.000000000000000000000000000000,  0.606535907217449648538466723935],
   [-0.480247528462907401660183771925,  0.831813119507136148827018457404, -0.278297045656391725234391247409],
   [-0.480247528462907401660183771925, -0.831813119507136148827018457404, -0.278297045656391725234391247409],
   [ 0.000000000000000000000000000000,  0.000000000000000000000000000000, -1.000000000000000000000000000000]

*/

psi7a:=[ 1/3*Sqrt(2),0,0, 1/6*Sqrt(2)*Sqrt(7),0,0,-1/6*Sqrt(2)*Sqrt(7),0];