The data for n = 42a


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 =732.0781075575485


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

[Graphics:n42pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n42g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n42g2.jpg]

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largest eigenvalue Gram view

[Graphics:n42g3.jpg]

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The Coulomb view

[Graphics:n42coul.jpg]

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The points

{{0.921299, 0.306222, -0.239661}, {-0.414027, 0.628315, -0.658637}, {0.621334, 0.76812, -0.154712}, {-0.209405, 0.864585, 0.456774}, {-0.403824, -0.788094, -0.464579}, {-0.349697, 0.925214, -0.147279}, {0.787318, -0.0877769, -0.610267}, {0.861528, \ -0.0979915, 0.498164}, {-0.0708532, -0.479342, 0.874763}, {-0.534208, -0.184669, 0.824936}, {-0.661073, -0.750118, 0.0174947}, {-0.684897, 0.660937, 0.306721}, {0.543702, 0.243235, 0.803259}, {-0.992234, 0.123744, -0.012584}, {0.460966, -0.345603, 0.817355}, {0.581136, 0.467315, -0.666256}, {-0.781221, 0.581667, -0.226622}, {-0.429032, -0.726782, 0.536394}, {0.30615, -0.0133097, -0.95189}, {-0.081133, -0.459657, \ -0.884383}, {-0.861428, -0.358567, 0.359684}, {0.862815, 0.410618, 0.294862}, {0.0708504, 0.479335, -0.874767}, {0.742663, -0.610792, -0.274564}, {0.39116, \ -0.920274, 0.00948215}, {0.450848, -0.516026, -0.728322}, {0.709755, -0.612652, 0.347713}, {-0.841012, 0.177327, 0.511129}, {0.159839, 0.984629, 0.0704053}, {-0.308898, 0.0861937, -0.947182}, {0.136044, 0.863858, -0.485016}, {0.186022, -0.826245, 0.531709}, {0.12784, -0.874111, -0.468601}, {-0.42734, 0.400268, 0.810658}, {-0.158663, -0.984588, 0.0735678}, {-0.901342, -0.344898, -0.261971}, {-0.783848, 0.166407, -0.59824}, {0.100005, 0.58036, 0.808196}, {0.980347, -0.195339, -0.02761}, {0.478044, 0.753369, 0.451562}, {-0.601372, -0.345792, -0.720264}, {0.0158401, 0.0509105, 0.998578}}

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