The data for n = 72b


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 =2255.13


The minimum gram eigenvector projection shows that all of the degree 5 points appear in 3 antipodal pairs of squares.

[Graphics:n72bpic.jpg]

Back to the top of the page


smallest eigenvalue Gram view

[Graphics:n72bg1.jpg]

Back to the top of the page


second largest eigenvalue Gram view

[Graphics:n72bg2.jpg]

Back to the top of the page


largest eigenvalue Gram view

[Graphics:n72bg3.jpg]

Back to the top of the page


The Coulomb view

[Graphics:n72bcoul.jpg]

Back to the top of the page


The points

{{-0.827713, 0.329937, -0.453909}, {-0.297433, -0.294533, 0.908176}, {-0.286261, 0.147463, 0.946736}, {-0.529955, 0.649461, -0.545297}, {0.81528, 0.262739, 0.516029}, {-0.86194, -0.227513, 0.453098}, {0.671296, -0.7316, -0.118841}, {-0.885666, 0.208377, 0.414939}, {0.816816, 0.340554, -0.465655}, {-0.699716, -0.0811993, -0.709792}, {-0.0794798, \ -0.654937, -0.751492}, {-0.709905, 0.684844, -0.164385}, {0.595226, -0.553074, 0.582936}, {0.000647511, -0.952211, 0.305442}, {-0.62013, -0.775969, -0.115371}, {-0.147979, 0.379773, -0.913167}, {-0.28323, 0.912191, -0.296124}, {-0.21984, 0.542298, 0.810915}, {-0.615858, 0.373421, 0.69374}, {0.511272, 0.553382, 0.657548}, {0.807646, -0.0898954, -0.582774}, {0.791203, -0.161205, 0.589924}, {0.0958127, -0.0463477, 0.99432}, {0.558588, 0.255057, -0.789256}, {0.16529, 0.362357, 0.917266}, {-0.762824, -0.590095, 0.264363}, {0.460074, 0.882716, -0.0956211}, {0.343749, 0.88306, 0.31944}, {-0.759605, 0.593072, 0.266955}, {0.23518, -0.970353, -0.0557184}, {-0.894631, -0.434636, \ -0.103572}, {-0.012659, -0.906813, -0.421342}, {0.693876, -0.491901, \ -0.525899}, {0.0368563, -0.286143, -0.957478}, {-0.733838, -0.46714, \ -0.493216}, {0.0828843, -0.476234, 0.875404}, {0.827871, -0.510449, 0.232533}, {0.246556, 0.552334, -0.796327}, {-0.237522, -0.968949, -0.068715}, {-0.93493, \ -0.0641425, -0.348988}, {0.779247, 0.609788, -0.144685}, {-0.297982, -0.0299056, -0.954103}, {-0.943522, 0.32904, -0.0387022}, {0.534356, 0.672179, -0.512484}, {0.485487, -0.83598, 0.255811}, {0.169313, 0.88635, -0.430949}, {0.128109, 0.731641, 0.669544}, {-0.209929, -0.721106, 0.660254}, {0.396748, -0.810774, -0.430391}, {0.485817, -0.177691, \ -0.855808}, {0.939692, 0.321631, 0.116332}, {-0.136916, 0.725733, -0.674215}, {-0.640142, -0.050709, 0.766581}, {0.038089, 0.999027, -0.0222527}, {0.179573, 0.120093, -0.976387}, {-0.421889, -0.764564, -0.487291}, {0.329952, \ -0.559047, -0.760656}, {0.698129, 0.657529, 0.283323}, {-0.430438, -0.847003, 0.311944}, {0.977424, 0.0524685, -0.204667}, {-0.0976313, 0.9235, 0.370967}, {0.230933, -0.762174, 0.604782}, {-0.437425, 0.894129, 0.0958725}, {0.447197, -0.267176, 0.853599}, {0.529645, 0.147107, 0.835366}, {-0.42308, -0.414703, -0.805621}, {0.913998, -0.364703, \ -0.177764}, {0.971447, -0.104545, 0.212981}, {-0.570837, -0.503457, 0.648596}, {-0.993757, -0.0720671, 0.085169}, {-0.541036, 0.303549, -0.784307}, {-0.44558, 0.734144, 0.512339}}

Back to the top of the page


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