/*  

 N=7
 M=2

 length of multipoles: 
   [ 1/8, 0, 0, 49/1188, 343/1584, 1225/5616, 251/1584, 4955/20592 ]

 cumulative squared lengths A_M:
   [ 0, 0, 49/1188, 1225/4752, 1225/2574, 13063/20592, 7/8 ]

 quadrangle and triangle

 symmetry group Z_2

 configuration:
   [  0.863738649833806424591304774061,    0.000000000000000000000000000000, -0.503940021017653576968465531080 ],
   [ -0.00374836010481294758930007784313,  0.865532741341329889880496709354, -0.500838320681122777048229155690 ],
   [ -0.00374836010481294758930007784313, -0.865532741341329889880496709354, -0.500838320681122777048229155690 ],
   [  0.374157389705384473498048498402,    0.646141560693001306473234805488,  0.665212245282710923908661175381 ],
   [  0.374157389705384473498048498402,   -0.646141560693001306473234805488,  0.665212245282710923908661175381 ],
   [ -0.747777392244323801333807986021,    0.000000000000000000000000000000,  0.663949524925109578928349403144 ],
   [ -0.867497760529478171842702479687,    0.000000000000000000000000000000, -0.497441087442865080863982229461 ]


*/

psi7c:=[ 1/6*Sqrt(2)*Sqrt(3),0,0, 1/6*Sqrt(3)*Sqrt(7),0,0,0,-1/2];