New algorithm of the high-temperature expansion for the Ising model in three dimensions

New algorithm of the finite lattice method is presented to generate the high-temperature expansion series of the Ising model. It enables us to obtain much longer series in three dimensions when compared not only with the previous algorithm of the finite lattice method but also with the standard graphical method. It is applied to extend the high-temperature series of the simple cubic Ising model from $\beta^{26}$ to $\beta^{46}$ for the free energy and from $\beta^{25}$ to $\beta^{32}$ for the magnetic susceptibility.

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