The data for n = 5


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 =6.47469


The configuration is regular triangular bipyramid, i.e. an equilateral triangle on the equator plus the two poles. The (1,3,1) bandology is shown by all but one of the cylindrical projections.

[Graphics:n5pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n5g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n5g2.jpg]

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largest eigenvalue Gram view

[Graphics:n5g3.jpg]

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The Coulomb view

[Graphics:n5coul.jpg]

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The points

{{0.58335, -0.678539, 0.446417}, {0.248408, 0.968273, 0.0272349}, {-0.831731, -0.289619, -0.473651}, {0.520431, -0.109751, -0.846821}, {-0.520455, 0.109648, 0.84682}}

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