The data for n = 50


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 =1055.182322


The middle gram eigenvector projection has endpoint 1 then 8 rows of 6 points and then the other end point 1 with the degree 5 points in two rows of 6's.

[Graphics:n50pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n50g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n50g2.jpg]

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largest eigenvalue Gram view

[Graphics:n50g3.jpg]

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The Coulomb view

[Graphics:n50coul.jpg]

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The points

{{0.851045, 0.446864, -0.275744}, {0.969151, -0.0969289, -0.226608}, {0.301788, -0.248395, 0.920448}, {0.251326, 0.797315, 0.548748}, {-0.569907, -0.209323, -0.7946}, {0.706122, -0.51362, -0.487428}, {0.64622, -0.497274, 0.578893}, {-0.177509, -0.933663, -0.311068}, {-0.986005, 0.159118, -0.0497628}, {0.237342, 0.175262, -0.955485}, {-0.751211, 0.247697, -0.611823}, {0.723441, 0.00944905, 0.690321}, {0.112337, 0.987304, 0.112301}, {-0.309687, 0.839999, 0.445528}, {0.661743, 0.503503, 0.5555}, {-0.0593292, 0.928498, -0.366568}, {-0.916215, -0.393223, 0.0769762}, {0.626879, 0.769892, 0.119537}, {-0.209568, -0.432408, 0.876986}, {-0.705946, -0.484397, 0.516719}, {0.543201, 0.488511, -0.682854}, {-0.132348, 0.0743137, 0.988414}, {0.455229, -0.852386, 0.257305}, {0.179716, -0.718202, 0.672226}, {-0.666911, -0.645856, -0.371617}, {0.0560363, 0.632284, -0.772708}, {-0.779359, 0.585533, -0.223047}, {-0.301785, 0.248396, -0.920449}, {-0.771292, 0.56726, 0.28866}, {0.334157, 0.295242, 0.895082}, {0.754902, 0.0310993, -0.6551}, {-0.58648, -0.0877578, 0.805195}, {0.374855, -0.89364, -0.24676}, {-0.101569, 0.561292, 0.821362}, {-0.0756301, -0.245541, -0.966431}, {-0.561711, -0.823531, 0.0792322}, {0.203541, -0.709866, -0.674285}, {-0.434646, 0.900082, -0.0305767}, {-0.570171, 0.408025, 0.713036}, {0.940143, -0.203336, 0.27347}, {-0.308082, -0.794595, 0.523167}, {0.937048, 0.294181, 0.188143}, {0.801273, -0.598243, -0.00817342}, {-0.294334, -0.637404, -0.712098}, {-0.896861, -0.197417, -0.395812}, {0.435808, 0.836074, -0.333245}, {-0.43824, 0.6685, -0.600877}, {0.425698, -0.294442, -0.85562}, {-0.0202253, -0.987532, 0.156115}, {-0.903981, 0.0432884, 0.425375}}

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