The data for n = 48a


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 =968.7134685


The minimum gram eigenvalue projection has 12 bands of 4 and there are 3 pairs of antipodal squares (more easily seen in other projections). There are 24 degree 5 points occurring at the corners of the squares.

[Graphics:n48apic.jpg]

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smallest eigenvalue Gram view

[Graphics:n48ag1.jpg]

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second largest eigenvalue Gram view

[Graphics:n48ag2.jpg]

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largest eigenvalue Gram view

[Graphics:n48ag3.jpg]

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The Coulomb view

[Graphics:n48acoul.jpg]

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The points

{{-0.780225, -0.622588, -0.0602737}, {-0.292563, 0.954693, 0.0544722}, {-0.613189, -0.574586, -0.542079}, {-0.619413, -0.111551, -0.7771}, {0.417542, 0.687306, 0.594364}, {-0.597606, 0.689108, 0.409875}, {0.541793, 0.60697, -0.581418}, {0.157706, -0.985872, -0.0564307}, {0.61012, -0.768978, -0.190858}, {0.331697, -0.0977844, 0.938305}, {0.706153, -0.429834, -0.562664}, {0.105173, 0.938369, -0.329245}, {-0.799668, 0.331886, -0.500383}, {0.261347, -0.755452, -0.600825}, {-0.92942, -0.177282, -0.323651}, {0.576223, 0.81053, -0.104917}, {-0.976, 0.21751, 0.0106559}, {0.867453, -0.476785, 0.142133}, {0.124212, 0.396856, 0.909437}, {0.20244, 0.955474, 0.214681}, {-0.410455, 0.787002, -0.460602}, {-0.645283, -0.178749, 0.742738}, {0.300053, 0.244775, -0.921983}, {-0.929021, -0.250889, 0.271984}, {0.963486, -0.13764, -0.229673}, {0.277732, -0.577661, 0.767576}, {0.0361934, 0.652281, -0.757112}, {-0.214728, -0.87704, -0.429759}, {0.732579, 0.0963235, -0.673833}, {-0.380575, -0.923251, 0.0526327}, {0.489005, -0.800127, 0.347377}, {-0.421916, 0.371919, 0.82684}, {-0.136049, -0.0149359, -0.990589}, {-0.172096, -0.51123, -0.842037}, {-0.126319, 0.785535, 0.605788}, {-0.742917, 0.664489, -0.0807976}, {0.667296, 0.225925, 0.7097}, {-0.0465922, -0.892276, 0.449081}, {0.898032, 0.377619, -0.225705}, {0.332912, -0.292068, -0.896586}, {-0.231841, -0.539561, 0.809397}, {-0.830688, 0.242129, 0.501329}, {-0.177757, -0.0604471, 0.982216}, {0.960237, 0.0516481, 0.274369}, {0.722826, -0.316186, 0.61445}, {0.792514, 0.544155, 0.275351}, {-0.600374, -0.653064, 0.461583}, {-0.400028, 0.393333, -0.827809}}

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