The data for n = 21


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 =167.6416015


The configuration has three appealing approximate bandologies (1,5,7,1,5,1) for the minimum eigenvector projection, (1,4,4,4,4,4,1) for the middle eigenvector projection and (1,6,7,6,1) for the maximum eigenvector projection.

[Graphics:n21pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n21g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n21g2.jpg]

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largest eigenvalue Gram view

[Graphics:n21g3.jpg]

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The Coulomb view

[Graphics:n21coul.jpg]

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The points

{{0.182194, 0.908314, 0.376526}, {-0.936192, 0.298441, 0.18568}, {-0.502211, 0.547308, -0.669506}, {-0.478935, 0.877783, 0.0109187}, {-0.377041, 0.506189, 0.775637}, {0.76234, 0.250313, -0.59681}, {0.240744, 0.864569, -0.441093}, {-0.133408, -0.930555, -0.340984}, {-0.718906, -0.267392, 0.641619}, {0.512924, 0.329159, 0.79282}, {-0.119473, -0.854432, 0.505641}, {0.824561, 0.553463, 0.11738}, {-0.878962, -0.0751763, -0.470929}, {0.532527, -0.846383, 0.007191}, {0.979719, -0.20016, 0.00933159}, {-0.316724, -0.405801, -0.857328}, {0.505157, -0.495152, -0.706853}, {0.106347, 0.21359, -0.971118}, {-0.754435, -0.656341, -0.00660055}, {-0.0477323, -0.188931, 0.98083}, {0.618748, -0.428702, 0.658305}}

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