The data for n = 43


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 =769.191


The minimum gram eigenvector and the Coulomb views give a band structure of (1,5,5,5,10,10,6,1).

[Graphics:n43pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n43g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n43g2.jpg]

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largest eigenvalue Gram view

[Graphics:n43g3.jpg]

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The Coulomb view

[Graphics:n43coul.jpg]

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The points

{{0.0847654, -0.725244, -0.683254}, {-0.0713432, -0.215005, 0.974004}, {-0.810794, -0.4384, 0.387838}, {0.548906, 0.486885, 0.679445}, {0.515214, -0.0696424, 0.854227}, {0.675941, 0.680143, -0.283741}, {0.13332, 0.946489, -0.293912}, {-0.355462, -0.647338, 0.674241}, {-0.564339, 0.722575, 0.399258}, {-0.846248, 0.211554, 0.488989}, {-0.87121, -0.0308071, -0.489943}, {0.825877, 0.520404, 0.217043}, {0.0355758, -0.926842, 0.373763}, {-0.130549, 0.972342, 0.193672}, {-0.214393, 0.662662, -0.717575}, {0.0265483, 0.752373, 0.658202}, {0.13875, 0.205485, -0.968775}, {0.324707, 0.635816, -0.700217}, {0.83077, -0.268319, -0.487674}, {-0.454033, 0.863044, -0.221377}, {-0.866368, 0.499297, -0.0104507}, {-0.478418, -0.864773, 0.152589}, {0.233471, -0.606185, 0.760284}, {0.436654, -0.285064, -0.853271}, {0.902654, 0.0295687, 0.429351}, {-0.388286, -0.829232, -0.402005}, {-0.577929, -0.14153, 0.803721}, {-0.998418, -0.0446974, 0.0341262}, {0.0784297, -0.982913, -0.166525}, {0.101374, 0.287902, 0.952279}, {0.688918, 0.229888, -0.687418}, {0.559709, -0.727232, -0.397315}, {-0.568094, -0.421595, -0.706772}, {0.917888, -0.395886, 0.0275016}, {0.697146, -0.483288, 0.529547}, {0.971538, 0.164805, -0.170156}, {-0.110357, -0.297331, -0.948375}, {-0.411896, 0.394638, 0.821342}, {0.416127, 0.881362, 0.223692}, {0.538448, -0.829721, 0.147094}, {-0.436312, 0.149481, -0.887292}, {-0.82227, -0.539839, -0.180129}, {-0.706281, 0.473894, -0.525921}}

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