DeRhamComputation/as_covers/as_auxilliary.sage

def magmathis(A, B, text = False, prefix="", sufix=""):
    """Find decomposition of Z/p^2-module given by matrices A, B into indecomposables using magma.
    If text = True, print the command for Magma. Else - return the output of Magma free."""
    q = parent(A).base_ring().order()
    p = q.factor()[0][0]
    n = A.dimensions()[0]
    A = str(list(A))
    B = str(list(B))
    A = A.replace("(", "")
    A = A.replace(")", "")
    B = B.replace("(", "")
    B = B.replace(")", "")
    result = prefix
    if q != p:
        result += "F<a> := GF(" + str(q) + ");"
    result += "A := MatrixAlgebra<GF("+str(q) + "),"+ str(n) + "|"
    result += A + "," + B
    result += ">;"
    result += "M := RModule(RSpace(GF("+str(q)+")," + str(n) + "), A);"
    result += "L := IndecomposableSummands(M); L;"
    result += "for i in [1 .. #L] do print(Generators(Action(L[i]))); end for;"
    result += sufix
    if text:
        return result
    return(magma_free(result))