### The data for n = 44

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 =807.174

While none of the projections give a particularly clear band structure this is a very highly organized configuration. There are 6 squares with opposite pairs forming a set of three mutually orthogonal axes. The squares are connected by hexagonal pyramids. Compare with n=24.

second largest eigenvalue Gram view

largest eigenvalue Gram view

The Coulomb view

The points

{{-0.753249, -0.192708, -0.628872}, {0.330934, -0.937314, -0.109203}, {-0.599357, -0.770449, 0.217209}, {0.414287, -0.804029, 0.426501}, {-0.36085, -0.575221, -0.734104}, {0.79718, -0.598705, 0.0778212}, {-0.197648, 0.521673, -0.829935}, {0.722113, 0.325391, -0.61047}, {-0.970215, 0.0901418, -0.224849}, {-0.143464, 0.779116, 0.610243}, {0.108219, -0.346997, -0.931602}, {0.930346, -0.167031, -0.326432}, {0.753249, 0.192641, 0.628892}, {0.257084, 0.932158, 0.254929}, {-0.635548, 0.623104, 0.455873}, {-0.415392, 0.803814, -0.425832}, {0.93502, 0.341342, -0.0960381}, {-0.600972, 0.191145, 0.776078}, {0.599459, 0.770316, -0.217399}, {-0.721705, -0.326597, 0.610308}, {0.294653, 0.67643, -0.674998}, {0.238561, 0.195064, -0.951335}, {0.076843, 0.959369, -0.27149}, {0.360833, 0.575419, 0.733957}, {0.718062, 0.624086, 0.308065}, {0.970231, -0.0900966, 0.224798}, {-0.109302, 0.347693, 0.931216}, {-0.256751, -0.931917, -0.256145}, {-0.930329, 0.166833, 0.326579}, {-0.79747, 0.598477, -0.0765916}, {-0.293483, -0.677013, 0.674923}, {0.600413, -0.19236, -0.77621}, {0.332108, 0.00804855, 0.943207}, {-0.935044, -0.341283, 0.0960107}, {0.636219, -0.623263, -0.454719}, {0.144435, -0.778438, -0.610879}, {0.691721, -0.36193, 0.624923}, {-0.0773416, -0.95966, 0.270315}, {-0.330928, 0.937316, 0.109205}, {-0.238567, -0.195066, 0.951333}, {-0.332558, -0.00685552, -0.943058}, {0.198082, -0.520582, 0.830517}, {-0.691823, 0.362063, -0.624733}, {-0.718054, -0.624124, -0.308007}}

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