DeRhamComputation/as_covers/as_auxilliary.sage

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def magmathis(A, B, text = False, prefix="", sufix=""):
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"""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]
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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) + "|"
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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
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if text:
return result
return(magma_free(result))