Automorphic forms for some even unimodular lattices

We look at genera of even unimodular lattices rank 12 over the ring integers $${{\mathbb {Q}}}(\sqrt{5})$$ and 8 {Q}}}(\sqrt{3})$$ , using Kneser neighbours to diagonalise spaces scalar-valued algebraic modular forms. conjecture most global Arthur parameters, prove several them theta series, in manner Ikeda Yamana. find instances congruences for non-parallel weight Hilbert Turning genus Hermitian Eisenstein integers, {Z}}}$$ we a Hentschel, Krieg Nebe, identifying certain linear combination series as an lift, that another is Miyawaki lift.