The data for n = 40b

The potential
The picture and a description of the configuration
The Gram minimal eigenvalue projection
The Gram middle eigenvalue projection
The Gram largest eigenvalue projection
The Coulomb view
The points in Mathematica format

potential =660.7253143

Each of the eigenvector projections show 20 bands of 2.

smallest eigenvalue Gram view

second largest eigenvalue Gram view

largest eigenvalue Gram view

The Coulomb view

The points

{{-0.0205552, 0.820616, 0.57111}, {0.471376, 0.832685, 0.290586}, {0.638856, -0.655202, 0.403204}, {-0.441083, 0.422915, -0.791574}, {-0.226904, -0.0442293, -0.972912}, {-0.0821413, 0.81595, -0.572258}, {0.815594, 0.364029, 0.449766}, {-0.000382057, 0.99979, -0.020481}, {-0.854527, 0.242631, -0.459253}, {0.0977656, -0.929459, 0.355736}, {-0.106447, -0.9326, -0.344856}, {-0.486582, 0.836993, 0.25036}, {-0.965434, -0.221887, -0.136758}, {0.306565, -0.161142, -0.93811}, {-0.193604, -0.587674, -0.785593}, {-0.772891, -0.548183, 0.319586}, {0.595096, -0.104797, 0.796793}, {-0.531041, -0.130201, 0.837283}, {0.434731, 0.815061, -0.382994}, {0.81952, 0.566975, -0.0832192}, {0.370998, -0.672866, -0.640009}, {-0.64521, 0.446584, 0.619893}, {0.38477, 0.444367, 0.809006}, {0.680135, 0.343679, -0.647535}, {-0.65326, -0.681186, -0.330512}, {0.75126, -0.225694, -0.620218}, {0.828142, -0.538311, -0.156211}, {-0.573167, 0.763218, -0.298292}, {-0.400741, -0.905561, 0.139162}, {0.408023, -0.906264, -0.110469}, {-0.908239, -0.025991, 0.417643}, {-0.332064, -0.631143, 0.700994}, {0.0357834, -0.102031, 0.994137}, {0.182692, 0.417447, -0.890147}, {-0.680281, -0.244725, -0.690889}, {-0.904378, 0.420961, 0.0699416}, {0.231894, -0.570624, 0.78779}, {-0.183621, 0.390102, 0.902277}, {0.983123, 0.0552058, -0.174417}, {0.926368, -0.179316, 0.331193}}

Copyright by Neubauer, Schilling, Watkins and Zeitlin (1998).