The data for n = 72e


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 =2255.31


The 3 dimensional picture and the maximum gram eigenvector projection show that some of the degree 5 points appear in 2 pairs of adjacent squares.

[Graphics:n72epic.jpg]

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smallest eigenvalue Gram view

[Graphics:n72eg1.jpg]

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second largest eigenvalue Gram view

[Graphics:n72eg2.jpg]

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largest eigenvalue Gram view

[Graphics:n72eg3.jpg]

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The Coulomb view

[Graphics:n72ecoul.jpg]

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The points

{{0.979245, 0.163353, 0.119978}, {0.467136, -0.381894, 0.797459}, {-0.410035, -0.326853, 0.851492}, {-0.231259, -0.808066, -0.541801}, {-0.218859, -0.965008, -0.144432}, {0.522712, -0.581003, -0.623865}, {-0.96557, -0.0119048, -0.259873}, {0.542755, 0.488621, 0.68313}, {0.229506, 0.17762, -0.956963}, {-0.778171, -0.223247, 0.587035}, {-0.882271, -0.428971, -0.193859}, {0.381923, -0.261735, -0.886357}, {0.243705, -0.740823, 0.625931}, {0.776104, -0.623515, 0.0942915}, {-0.841352, 0.193283, 0.504746}, {0.569195, 0.716532, -0.403237}, {0.430975, -0.873085, 0.227996}, {-0.185905, 0.974874, -0.122722}, {0.868918, 0.478044, -0.128278}, {-0.250428, 0.81854, -0.516989}, {-0.358789, -0.456594, -0.814121}, {0.579724, 0.0569258, 0.812822}, {-0.227761, 0.422369, 0.877342}, {0.4082, 0.530735, -0.742761}, {0.169182, 0.855853, -0.488767}, {-0.17243, 0.190369, -0.966451}, {-0.562842, 0.109832, 0.819235}, {0.00964142, 0.956357, 0.292043}, {0.1876, -0.977433, -0.0971163}, {0.770127, 0.557589, 0.309838}, {-0.600508, -0.788335, -0.133857}, {0.0813495, -0.587814, -0.804896}, {0.598637, 0.123714, -0.791409}, {0.562286, -0.791211, -0.240456}, {0.190573, -0.848887, -0.493024}, {0.006538, -0.455041, 0.890447}, {-0.430732, 0.862964, 0.264128}, {-0.96013, -0.202897, 0.192309}, {-0.232221, 0.758443, 0.608964}, {-0.588471, 0.525302, 0.614622}, {0.962458, -0.249091, 0.107838}, {0.158568, 0.695108, 0.701199}, {0.597759, 0.801668, 0.00358002}, {-0.00927099, 0.586739, -0.809723}, {-0.43462, 0.436442, -0.787797}, {-0.584665, 0.80269, -0.11771}, {-0.774602, 0.205366, -0.598178}, {-0.572619, -0.593571, 0.565492}, {0.759599, -0.205886, -0.616945}, {0.23353, 0.968785, -0.0831855}, {-0.416407, -0.872678, 0.255027}, {0.958126, 0.00248477, -0.286337}, {-0.18059, 0.00831002, 0.983523}, {0.407515, 0.82854, 0.383996}, {0.792597, 0.336476, -0.508501}, {-0.00173601, -0.953623, 0.300998}, {-0.0444787, -0.211994, -0.976258}, {-0.619944, 0.618592, -0.482715}, {-0.971699, 0.20491, 0.117526}, {-0.605811, -0.613457, -0.506621}, {0.826196, -0.22541, 0.516324}, {-0.783707, -0.585065, 0.208573}, {-0.873958, 0.439605, -0.20723}, {-0.769425, -0.237338, -0.593006}, {0.198505, 0.329332, 0.923112}, {-0.19068, -0.741134, 0.64371}, {0.846704, -0.444862, -0.291873}, {0.214578, -0.0922052, 0.972345}, {-0.776566, 0.587284, 0.228127}, {-0.504898, -0.0477989, -0.861854}, {0.839342, 0.188666, 0.509813}, {0.641154, -0.594818, 0.484884}}

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