From 0f1023ebaf9865b32c2f1aaa8eb261becd1ab625 Mon Sep 17 00:00:00 2001 From: Tommy Hofmann Date: Sat, 7 Sep 2024 10:43:57 +0200 Subject: [PATCH] feat: add more tests --- src/AlgAssAbsOrd/PIP/maximal.jl | 17 +- test/AlgAssAbsOrd/PIP.jl | 390 ++++++++++++++++++++++++++++++++ 2 files changed, 404 insertions(+), 3 deletions(-) diff --git a/src/AlgAssAbsOrd/PIP/maximal.jl b/src/AlgAssAbsOrd/PIP/maximal.jl index 742b9349b3..53037aeedd 100644 --- a/src/AlgAssAbsOrd/PIP/maximal.jl +++ b/src/AlgAssAbsOrd/PIP/maximal.jl @@ -49,18 +49,29 @@ end function _is_principal_maximal_simple_component(a, M, side = :right) A = algebra(M) - ZA, _ = _as_algebra_over_center(A) + ZA, ZAtoA = _as_algebra_over_center(A) + + if !isdefined(A, :isomorphic_full_matrix_algebra) && dim(ZA) == 1 + B = matrix_algebra(base_ring(ZA), 1) + img = [preimage(ZAtoA, x) for x in basis(A)] + m = matrix(base_ring(B), dim(A), dim(B), [(x.coeffs[1])/(one(A).coeffs[1]) for x in img]) + minv = matrix([ZAtoA(x[1, 1] * one(ZA)).coeffs for x in basis(B)]) + AtoB = AbsAlgAssMorGen(A, B, m, minv) + A.isomorphic_full_matrix_algebra = B, AtoB + end + if isdefined(A, :isomorphic_full_matrix_algebra) local B::MatAlgebra{AbsSimpleNumFieldElem, Generic.MatSpaceElem{AbsSimpleNumFieldElem}} B, AtoB = A.isomorphic_full_matrix_algebra - #@show B OB = _get_order_from_gens(B, elem_type(B)[AtoB(elem_in_algebra(b)) for b in absolute_basis(M)]) #@show OB ainOB = ideal_from_lattice_gens(B, elem_type(B)[(AtoB(b)) for b in absolute_basis(a)]) #@show ainOB #@show is_maximal(OB) fl, gen = _is_principal_maximal_full_matrix_algebra(ainOB, OB, side) - return fl, (AtoB\gen)::elem_type(A) + gentr = (AtoB\gen)::elem_type(A) + @hassert :PIP 1 gentr * M == a + return fl, gentr elseif base_ring(A) isa QQField && dim(A) == 4 && !is_split(A) return _is_principal_maximal_quaternion(a, M, side) elseif dim(ZA) == 4 && !isdefined(A, :isomorphic_full_matrix_algebra) diff --git a/test/AlgAssAbsOrd/PIP.jl b/test/AlgAssAbsOrd/PIP.jl index d844b12d9e..2aa30276f7 100644 --- a/test/AlgAssAbsOrd/PIP.jl +++ b/test/AlgAssAbsOrd/PIP.jl @@ -137,4 +137,394 @@ @test fl @test alpha * Lambdaop == M end + + # some other bug + let + mt = QQFieldElem[ + 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -6, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, + -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, -6, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, -6, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 9, -3, -3, 3, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 6, -3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 6, 0, 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6, -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 6, 9, -3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, + -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 3, 6, -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, + 9, -3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, + -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 6, 9, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, + 12, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, + 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 6, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 6, 9, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 9, 12, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, + 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 6, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 3, 6, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 9, 3, + -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 6, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 3, 6, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 9, 3, + -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 6, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 6, 9, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, + -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 6, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, -6, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 6, 9, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, + -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 6, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, -6, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0] + mt = reshape(mt, 20, 20, 20) + A = StructureConstantAlgebra(QQ, mt) + B = matrix(QQ, [1//6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 1//6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 0 1//6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 0 0 1//6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 1//24 1//24 1//24 1//24 1//24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 1//6 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 0 1//6 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 0 0 1//6 0 0 0 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 0 0 0 1//6 0 0 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 1//24 1//24 1//24 1//24 1//24 0 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 1//6 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 0 1//6 0 0 0 0 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 0 0 1//6 0 0 0 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 0 0 0 1//6 0 0 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 1//24 1//24 1//24 1//24 1//24 0 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1//6 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1//6 0 0 0; + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1//6 0 0; + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1//6 0; + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1//24 1//24 1//24 1//24 1//24]) + BI = matrix(QQ, [375//2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 375//2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 154 183 1//2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 183 77//2 0 1//2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 1//24 1//24 1//24 1//24 1//24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 560//3 0 0 0 0 5//6 0 0 0 0 0 0 0 0 0 0 0 0 0 0; + 0 560//3 0 0 0 0 5//6 0 0 0 0 0 0 0 0 0 0 0 0 0; + 307//2 1097//6 1//3 0 0 1//2 1//6 1//6 0 0 0 0 0 0 0 0 0 0 0 0; + 1097//6 229//6 0 1//3 0 1//6 1//3 0 1//6 0 0 0 0 0 0 0 0 0 0 0; + 0 0 0 0 0 1//24 1//24 1//24 1//24 1//24 0 0 0 0 0 0 0 0 0 0; + 116//3 217//3 1//3 1//6 0 0 0 0 0 0 125//2 0 0 0 0 0 0 0 0 0; + 154//3 247//2 1//6 0 0 0 0 0 0 0 125//6 125//6 0 0 0 0 0 0 0 0; + 607//6 809//6 1//3 1//6 0 0 0 0 0 0 311//6 83//6 1//2 0 0 0 0 0 0 0; + 520//3 895//6 1//6 1//3 0 0 0 0 0 0 60 25//3 1//3 1//6 0 0 0 0 0 0; + 0 0 0 0 0 0 0 0 0 0 1//24 1//24 1//24 1//24 1//24 0 0 0 0 0; + 116//3 217//3 1//3 1//6 0 0 0 0 0 0 185//3 0 0 0 0 5//6 0 0 0 0; + 154//3 247//2 1//6 0 0 0 0 0 0 0 125//6 20 0 0 0 0 5//6 0 0 0; + 607//6 809//6 1//3 1//6 0 0 0 0 0 0 103//2 41//3 1//3 0 0 1//3 1//6 1//6 0 0; + 520//3 895//6 1//6 1//3 0 0 0 0 0 0 359//6 47//6 1//3 0 0 1//6 1//2 0 1//6 0; + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1//24 1//24 1//24 1//24 1//24]) + Gamma = Order(A, Hecke.FakeFmpqMat(B)) + I = ideal(A, Gamma, Hecke.FakeFmpqMat(BI)) + @test I * Gamma == I + fl, beta = Hecke._is_principal_with_data_bj(I * Gamma, Gamma; side = :right) + @test fl + @test beta * Gamma == I + end end