The data for n = 75


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 =2454.369689


No structure is readily apparent.

[Graphics:n75pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n75g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n75g2.jpg]

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largest eigenvalue Gram view

[Graphics:n75g3.jpg]

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The Coulomb view

[Graphics:n75coul.jpg]

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The points

{{-0.44492, 0.409333, 0.796551}, {-0.271437, -0.663543, -0.697161}, {0.418058, -0.114296, -0.901202}, {0.890737, 0.210383, -0.402897}, {-0.55101, -0.760209, -0.344194}, {-0.440032, 0.72962, 0.523476}, {0.339681, 0.685699, 0.643765}, {0.716787, -0.61271, 0.332871}, {0.488514, -0.809077, -0.326724}, {-0.421692, -0.52015, 0.742711}, {-0.601357, 0.387277, -0.698846}, {0.874444, 0.376609, 0.3058}, {0.593055, 0.271356, -0.758058}, {-0.997003, -0.0156336, -0.0757701}, {0.0615126, -0.479381, -0.875448}, {0.873006, 0.00145451, 0.487707}, {0.148017, -0.981288, -0.123145}, {0.283144, 0.335721, 0.898399}, {-0.0173347, -0.709696, 0.704295}, {-0.0644067, 0.560403, 0.825712}, {-0.630139, 0.767057, 0.120613}, {-0.714957, 0.641798, -0.277366}, {0.647752, 0.377026, 0.662018}, {-0.27344, -0.961261, 0.0347614}, {-0.300247, 0.184502, -0.935848}, {-0.855949, -0.479079, -0.19451}, {-0.356447, 0.911893, -0.20346}, {0.00754525, -0.0902565, -0.99589}, {-0.651014, -0.0156988, -0.758903}, {-0.644118, -0.762907, 0.0555382}, {-0.170413, -0.912642, -0.371544}, {0.993557, 0.11212, 0.0165399}, {-0.030422, 0.851841, -0.522916}, {-0.320924, -0.840733, 0.436091}, {-0.763026, -0.24773, 0.59701}, {0.377778, -0.751269, 0.541183}, {0.793447, -0.604112, -0.0740937}, {-0.41705, 0.710024, -0.567393}, {0.57844, -0.00786388, 0.815687}, {-0.722023, 0.157241, 0.673764}, {-0.882615, -0.147801, -0.446257}, {0.754469, -0.110798, -0.646917}, {0.190676, 0.272362, -0.943113}, {0.167472, -0.79365, -0.584869}, {-0.942636, 0.0771977, 0.324772}, {0.323861, -0.450582, 0.831919}, {0.626478, 0.702749, 0.337148}, {0.361428, 0.847506, -0.388719}, {0.947224, -0.205641, -0.245925}, {-0.912811, 0.407708, 0.0234732}, {0.733973, -0.491865, -0.46835}, {0.260354, 0.932551, 0.250128}, {-0.100803, -0.340788, 0.934721}, {0.0721188, 0.991096, -0.111929}, {-0.234444, 0.953228, 0.190767}, {0.302052, 0.61124, -0.731539}, {0.557938, 0.828523, -0.0474917}, {0.448225, -0.501855, -0.739754}, {-0.875029, 0.271636, -0.400672}, {-0.767912, 0.487224, 0.415841}, {0.4715, -0.874539, 0.11344}, {-0.354108, -0.28169, -0.891772}, {-0.673114, -0.610196, 0.417826}, {0.0764922, -0.946808, 0.312575}, {0.205577, -0.0720115, 0.975988}, {-0.144637, 0.154222, 0.977392}, {-0.0345389, 0.8461, 0.531904}, {0.671546, 0.573778, -0.468832}, {-0.918278, -0.34685, 0.190946}, {-0.456072, -0.0993561, 0.884379}, {0.684233, -0.36037, 0.634003}, {0.846583, 0.524883, -0.0882842}, {0.94063, -0.279041, 0.193266}, {-0.645031, -0.453213, -0.61525}, {-0.126913, 0.543228, -0.829938}}

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