The data for n = 57


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 =1387.38


T he minimum gram eigenvector projection shows rows of 3's (or 6's) with the degree 5 points in 4 rows of 3's. The middle gram eigenvalue projection has rows of 2's with a single point at the bottom.

[Graphics:n57pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n57g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n57g2.jpg]

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largest eigenvalue Gram view

[Graphics:n57g3.jpg]

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The Coulomb view

[Graphics:n57coul.jpg]

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The points

{{0.203509, 0.801329, -0.562544}, {0.329691, 0.0597529, -0.942196}, {-0.755961, 0.0435437, 0.653167}, {0.877977, -0.284784, 0.384778}, {-0.0399188, 0.212209, 0.976409}, {-0.969226, -0.0145136, 0.245745}, {-0.610024, 0.786124, 0.0993935}, {0.527893, -0.400605, -0.748896}, {-0.166045, -0.985617, 0.0314477}, {0.73534, 0.0373942, -0.676666}, {-0.658617, 0.659062, -0.363126}, {-0.168565, 0.968237, 0.184667}, {-0.238738, 0.932208, -0.272015}, {0.898793, 0.413173, 0.146489}, {-0.68414, -0.136797, -0.716407}, {-0.257611, 0.695967, -0.670274}, {0.6111, 0.776538, 0.153445}, {0.877508, -0.297535, -0.376101}, {0.644594, 0.698502, -0.310796}, {0.243007, -0.613737, 0.751182}, {0.57589, -0.718638, -0.389756}, {0.11376, -0.224917, 0.967714}, {0.410327, -0.907407, 0.0908011}, {-0.732084, -0.525524, -0.433449}, {0.243023, 0.963726, -0.110323}, {-0.363107, -0.485787, -0.795088}, {0.124963, -0.707264, -0.695817}, {-0.922378, 0.386248, -0.0055886}, {0.051984, -0.898461, 0.435966}, {0.0913273, 0.615118, 0.783128}, {0.589827, -0.669608, 0.451363}, {0.434775, 0.206124, 0.876632}, {-0.961246, -0.169382, -0.217522}, {-0.531663, 0.339569, -0.775904}, {-0.440916, 0.375194, 0.815367}, {-0.867206, 0.223319, -0.445065}, {-0.25299, 0.0163563, -0.967331}, {0.574034, 0.566765, 0.590984}, {-0.386619, -0.150883, 0.909813}, {0.584651, -0.240649, 0.774771}, {0.515698, 0.469826, -0.716463}, {-0.758996, 0.480606, 0.439252}, {-0.86442, -0.481133, 0.145909}, {0.826286, 0.157658, 0.540736}, {-0.45806, -0.796059, 0.395564}, {0.155314, -0.942037, -0.297394}, {0.0326226, 0.419334, -0.907246}, {-0.310341, -0.830633, -0.462318}, {-0.241057, -0.589125, 0.771247}, {0.998989, -0.0443317, 0.00743963}, {-0.333279, 0.755075, 0.564612}, {0.219109, 0.880704, 0.419942}, {-0.601236, -0.79604, -0.0695377}, {0.0677508, -0.320592, -0.944791}, {0.811469, -0.584352, 0.00711661}, {-0.693911, -0.419379, 0.585328}, {0.897141, 0.296124, -0.327793}}

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