Let be the finitely generated abelian group, determined by the relation-matrix 1. Find new generators such that with D in Smith normal form.

Let A_R=〈a_1,a_2,a_3,a_4 |R∘a=0〉 be the finitely generated abelian group, determined by the relation-matrix R=[(-6 11 -36 6), (5 -672 210 74), (0 -255 81 24), (-7 255 -81 -10)]∈Z^(4×4).1. Find new generators b_i such that A_R≅A_D=〈b_1,…,b_n |D∘b=0〉 with D in Smith normal form.2. Determine the isomorphism type of A_R.