The data for n = 40a


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 =660.6752811


The Coulomb projection appears to be converging toward a bandology of (1,5,10,8,10,5,1) with symmetry about z=0 and theta = 0.

[Graphics:n40apic.jpg]

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smallest eigenvalue Gram view

[Graphics:n40ag1.jpg]

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second largest eigenvalue Gram view

[Graphics:n40ag2.jpg]

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largest eigenvalue Gram view

[Graphics:n40ag3.jpg]

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The Coulomb view

[Graphics:n40acoul.jpg]

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The points

{{0.868077, 0.307586, -0.389656}, {-0.173572, 0.513185, -0.840544}, {-0.438468, 0.857064, 0.270531}, {0.0735428, -0.908871, -0.410543}, {-0.42235, 0.515743, 0.745405}, {-0.817913, -0.575342, -0.000555766}, {-0.0308718, -0.832181, 0.553644}, {-0.403396, 0.840745, -0.361136}, {0.776474, -0.601583, 0.187582}, {-0.723978, 0.356307, -0.590679}, {-0.78575, -0.272976, -0.555051}, {0.975074, -0.180345, -0.129254}, {-0.813459, 0.576127, -0.0797656}, {0.312374, -0.945365, 0.0933161}, {0.603975, 0.762864, -0.230766}, {0.912614, 0.361178, 0.191534}, {0.655072, -0.664887, -0.358894}, {0.015996, 0.242476, 0.970025}, {0.864824, -0.108678, 0.490172}, {0.566777, 0.399392, 0.72059}, {-0.835603, 0.351958, 0.421773}, {-0.891833, -0.194947, 0.408202}, {-0.55116, -0.616206, 0.562595}, {0.0696787, 0.767877, 0.636796}, {0.139234, 0.847498, -0.512212}, {0.707854, -0.139617, -0.692423}, {0.0541048, 0.997423, 0.0471095}, {0.314043, -0.531078, -0.786977}, {-0.233334, -0.50382, -0.831698}, {-0.415596, 0.00917369, -0.909503}, {0.438077, -0.122019, 0.890618}, {-0.991757, 0.0204976, -0.126485}, {-0.0861288, -0.380119, 0.920919}, {0.464962, -0.611004, 0.640691}, {0.451197, 0.431905, -0.780948}, {0.16452, -0.00152125, -0.986373}, {0.530789, 0.787292, 0.313742}, {-0.531075, -0.0505374, 0.845816}, {-0.492584, -0.761612, -0.42108}, {-0.320432, -0.943586, 0.0834811}}

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