  We show that topological phases of the Dirac system in arbitral even
dimensional space are simulated by $LC$ electric circuits with operational
amplifiers. The lattice Hamiltonian for the hypercubic lattice in $2n$
dimensional space is characterized by the $n$-th Chern number. The boundary
state is described by the Weyl theory in $2n-1$ dimensional space. They are
well observed by measuring the admittance spectrum. They are different from the
disentangled $n$-th Chern insulators previously reported, where the $n$-th
Chern number is a product of the first Chern numbers. The results are extended
to non-Hermitian systems with complex Dirac masses. The non-Hermitian $n$-th
Chern number remains to be quantized for the complex Dirac mass.
