The data for n = 71


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 =2190.65


The minimum gram eigenvector projection shows rows of 3's and the degree 5 points appear in 2 pairs of adjacent squares plus some other locations.

[Graphics:n71pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n71g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n71g2.jpg]

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largest eigenvalue Gram view

[Graphics:n71g3.jpg]

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The Coulomb view

[Graphics:n71coul.jpg]

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The points

{{0.0664992, 0.822153, -0.565368}, {0.391144, 0.907599, 0.152547}, {-0.916249, 0.392969, -0.0778624}, {-0.517928, -0.403539, 0.754259}, {-0.106027, 0.71022, 0.695949}, {0.093089, 0.984459, -0.148913}, {-0.157903, 0.187271, -0.969534}, {0.291189, -0.862454, -0.413983}, {-0.448698, 0.803928, 0.390347}, {0.257887, -0.591044, -0.764304}, {-0.10559, -0.983918, -0.144069}, {-0.32196, 0.593816, -0.737377}, {-0.325258, 0.863928, -0.384495}, {0.690406, 0.629647, 0.356208}, {0.906225, -0.392536, -0.157072}, {-0.981196, -0.0558072, -0.184768}, {-0.295586, 0.955048, 0.0226439}, {-0.000962625, 0.941463, 0.337115}, {0.806997, -0.226485, -0.5454}, {-0.114545, -0.820075, -0.560675}, {-0.962705, 0.101387, 0.250838}, {-0.75856, -0.156061, -0.632639}, {0.961901, 0.0566419, -0.267467}, {0.711387, 0.700066, -0.0619433}, {0.662695, -0.7442, -0.0836763}, {0.478937, 0.550274, -0.683972}, {-0.535544, -0.547826, -0.642713}, {-0.159741, -0.509561, -0.845476}, {-0.733587, 0.156808, 0.661257}, {0.318711, 0.746721, 0.583807}, {-0.930102, -0.344645, 0.127001}, {0.199381, 0.410612, 0.889745}, {0.787222, -0.159127, 0.595785}, {0.492109, -0.243909, -0.835666}, {-0.519503, 0.509674, 0.68582}, {0.29629, -0.955078, -0.00613547}, {0.0295264, -0.942699, 0.332336}, {0.800267, 0.450829, -0.39538}, {0.701939, 0.158511, -0.694374}, {0.0426285, -0.00184399, 0.999089}, {-0.667297, 0.744399, -0.0241814}, {-0.410267, -0.162935, -0.897292}, {0.48019, -0.80529, 0.347744}, {-0.822458, -0.221977, 0.523727}, {-0.831108, -0.449495, -0.327435}, {0.821335, -0.50328, 0.268548}, {0.446129, 0.82235, -0.353141}, {0.864114, 0.220174, 0.452581}, {-0.561464, 0.246909, -0.789806}, {0.937594, 0.344321, 0.0485827}, {-0.421983, -0.0300983, 0.906104}, {-0.795396, 0.502158, 0.339386}, {0.580357, 0.400838, 0.708883}, {0.0872235, 0.512698, -0.854127}, {0.980557, -0.102159, 0.167548}, {-0.66323, 0.603659, -0.442405}, {-0.714188, -0.699945, -0.00370172}, {-0.267942, -0.748917, 0.606078}, {0.623041, -0.60192, -0.499512}, {-0.474718, -0.821114, -0.316884}, {0.575952, -0.512116, 0.637194}, {0.0747148, -0.183672, -0.980144}, {0.497636, 0.026826, 0.866971}, {-0.850485, 0.228366, -0.47384}, {-0.376871, -0.908216, 0.181965}, {0.33237, 0.166305, -0.928371}, {-0.657654, -0.631064, 0.4114}, {-0.122932, -0.413919, 0.901975}, {-0.222337, 0.33509, 0.915577}, {0.299464, -0.338427, 0.89207}, {0.164811, -0.712763, 0.681767}}

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