/*  

 N=7
 M=2

 length of multipoles: 
   [ 1/8, 0, 0, 49/264, 0, 49/312, 3/8, 45/286 ]

 cumulative squared lengths A_M:
   [ 0, 0, 49/264, 49/264, 49/143, 821/1144, 7/8 ]

 quadrangle, line, and point

 symmetry group Z_2 x Z_2

 configuration:

   [ -1.00000000000000000000000000000,   0.000000000000000000000000000000,  0.000000000000000000000000000000 ],
   [ -0.453190217912391470038417104238,  0.000000000000000000000000000000,  0.891413835650153645053940379787 ],
   [  0.485114797028674647368050213744,  0.784059584394077927621865844923,  0.387187553807729712488836189837 ],
   [  0.485114797028674647368050213744, -0.784059584394077927621865844923,  0.387187553807729712488836189837 ],
   [  0.485114797028674647368050213744,  0.784059584394077927621865844924, -0.387187553807729712488836189836 ],
   [  0.485114797028674647368050213744, -0.784059584394077927621865844924, -0.387187553807729712488836189836 ],
   [ -0.453190217912391470038417104237,  0.000000000000000000000000000000, -0.891413835650153645053940379786 ]


*/

psi7e:=[ 1/3*Sqrt(2),0,0, 1/6*Sqrt(2)*Sqrt(7),0,0, 1/6*Sqrt(2)*Sqrt(7),0];