2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21120We have calculated the fractional charge of quasiparticles in a cluster of electrons. The 61 values have been calculated which are exactly the same as the measured values. In a previous eprint we have calculated 85 values which are the same as the measured values. Thus we have calculated 146 fractional charges. In the case of 61 values, we are able to determine the spin of the cluster and hence the number of electrons. The polarization in a magnetic field is determined. A new zero conductivity state is found which is the same as superresistivity, previously reported in our book. Anderson and Brinkman, cond-mat/0302129, have noted that frequencies like 5/4Ω_c do occur. We predict all fractional frequencies correctly.7 pages TeXMesoscale and Nanoscale PhysicsStatistical Mechanicstext