Congruence Relations for Siegel Modular Forms of Weight 47, 71, and 89

Let X-35 be the Siegel cusp form of degree two and weight 35. In [Nagaoka et al. 14], the authors proved that (det T)a(X-35; T) equivalent to 0 mod 23, for every half-integral symmetric matrix T, where a(X-35; T) is the Tth Fourier coefficient of X-35. In this paper, we prove that there exist higher-weight examples of this type of congruence.