The data for n = 25


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 =243.8128


The configuration has a square face, which seems to appear in the upper hemisphere of the middle eigenvalue projection--recognizeable by the 4 triangles which are vertices of degree less than 6.

[Graphics:n25pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n25g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n25g2.jpg]

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largest eigenvalue Gram view

[Graphics:n25g3.jpg]

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The Coulomb view

[Graphics:n25coul.jpg]

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The points

{{-0.733899, 0.423828, 0.530812}, {-0.178086, 0.900938, 0.395722}, {-0.875148, -0.341282, 0.342991}, {-0.568424, 0.796288, -0.206927}, {0.222911, -0.97461, 0.0210984}, {-0.241594, -0.22482, -0.943975}, {0.965811, -0.0442807, -0.255439}, {-0.768678, -0.480295, -0.422435}, {0.392812, -0.150458, 0.907227}, {-0.155417, 0.33448, 0.929499}, {0.136787, 0.958891, -0.24863}, {-0.114111, -0.804047, -0.583513}, {-0.978303, 0.190052, -0.0824883}, {0.625001, -0.636642, -0.45173}, {0.729037, 0.683675, 0.0330703}, {0.614462, 0.47625, -0.628985}, {0.752788, -0.576008, 0.318628}, {-0.472188, -0.869931, 0.142333}, {0.423355, 0.624774, 0.65607}, {-0.0601362, 0.54661, -0.835225}, {0.0720148, -0.738986, 0.669861}, {0.429144, -0.141125, -0.892143}, {-0.429789, -0.299832, 0.851694}, {0.88922, 0.0994038, 0.446549}, {-0.67665, 0.246986, -0.693645}}


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