a=2.5: A^dag_ped/A_dual at 3 members: ['0.00204167742154', '0.00204167742154', '0.00204167742154']
a=3: A^dag_ped/A_dual at 3 members: ['-0.0144861775716', '-0.0144861775716', '-0.0144861775716']
a* = 2.5441592248433054916
at a*: A^dag_ped/A_dual at members 0.05, 0.2, 0.55, 0.9: ['7.2075e-22', '7.2075e-22', '7.2075e-22', '7.2075e-22']
   for scale: A_dual = 0.30136721  A^dag = 1.2150647
