The data for n = 19


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 = 135.0894677


The configuration has a square as one of its faces which is shown in the Gram minimal.eigenvalue projection in the bottom row. The bandology is (1,4,2,4,2,2,4)

[Graphics:n19pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n19g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n19g2.jpg]

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largest eigenvalue Gram view

[Graphics:n19g3.jpg]

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The Coulomb view

[Graphics:n19coul.jpg]

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The points

{{0,0,1.},{0.137511,0,-0.9905},{0.285169,0.654666,0.700065}, {0.378728,-0.654665,-0.654201},{0.074797,-0.996755,-0.0297625}, {0.0699921,0.996755,0.0397652},{-0.58711,0.212458,-0.78113}, {-0.688945,-0.212459,0.692976},{-0.622837,0.747389,-0.231266}, {-0.64872,-0.74739,0.143422},{0.859155,0.0382733,-0.510282}, {0.780824,-0.0382717,0.623577},{0.823352,0.566061,0.0408282}, {0.821146,-0.566059,0.0727794},{0.149276,-0.705281,0.693034}, {0.243156,0.705281,-0.665923},{-0.580664,0.585405,0.565801}, {-0.497343,-0.585406,-0.640273},{-0.997622,0,-0.0689194}}

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