The data for n = 49


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 =1011.56


The middle gram eigenvector projection has 16 bands of 3 points and then 1 point at the South pole, with some of the neighboring 3's very close and interleaved.

[Graphics:n49pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n49g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n49g2.jpg]

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largest eigenvalue Gram view

[Graphics:n49g3.jpg]

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The Coulomb view

[Graphics:n49coul.jpg]

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The points

{{0.720254, -0.0927176, -0.687486}, {0.988385, -0.0225922, -0.150283}, \ {0.194156, 0.65696, 0.728497}, {-0.226839, -0.0987004, 0.968918}, {0.600065, -0.0981013, 0.793913}, {-0.956257, 0.0686683, 0.284353}, {0.81262, -0.456378, -0.362447}, {0.442269, 0.275563, -0.853501}, {-0.348626, 0.937071, -0.0189082}, {0.149824, 0.967982, -0.201405}, {-0.959845, -0.240198, -0.144919}, {-0.164977, \ -0.547938, -0.820089}, {0.0406591, -0.818973, 0.57239}, {-0.802321, -0.00796439, -0.596839}, {-0.364058, -0.864924, \ -0.345497}, {-0.00855619, -0.999762, 0.0200641}, {0.622851, 0.760185, -0.184866}, {-0.935927, 0.291684, -0.197388}, {0.81083, 0.374314, -0.449936}, {0.551378, 0.772135, 0.315894}, {-0.538017, 0.39794, -0.743089}, {0.413177, -0.517006, -0.749659}, {0.580603, \ -0.548752, 0.601475}, {-0.760334, 0.624648, 0.178064}, {-0.0578074, 0.383262, -0.921829}, {0.851181, -0.50265, 0.15111}, {-0.673412, -0.108524, 0.731258}, {0.0830461, 0.949284, 0.303253}, {-0.184003, 0.795698, -0.577069}, {-0.806786, -0.454625, 0.377377}, {-0.384272, -0.562514, 0.732061}, {0.919993, -0.0510573, 0.388595}, {0.157109, -0.417462, 0.89501}, {-0.349817, 0.784098, 0.512658}, {0.667511, 0.388368, 0.635295}, {0.104781, -0.854731, -0.508386}, {-0.373817, -0.0816611, \ -0.9239}, {0.435996, -0.865272, 0.247412}, {-0.639263, -0.485386, -0.596443}, {-0.689231, 0.379011, 0.617505}, {-0.644381, 0.682512, -0.344891}, {-0.732525, -0.675657, -0.083034}, {0.334152, 0.70286, -0.627957}, {0.902697, 0.411633, 0.125282}, {0.225324, 0.181202, 0.957285}, {0.153189, -0.136266, -0.978757}, {-0.25187, 0.409364, 0.876916}, {-0.422996, -0.858228, 0.290722}, {0.513103, -0.825141, -0.236364}}

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