Correct signature
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@ -31,7 +31,7 @@ if n_pos + n_neg == size(gram, 1)
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else
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printbad("Degenerate subspace")
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end
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sig_rem = Int64[ones(2-n_pos); -ones(3-n_neg)]
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sig_rem = Int64[ones(1-n_pos); -ones(4-n_neg)]
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unk = hcat(a, b, c)
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M = matrix_space(F, 5, 5)
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big_gram = M(F.([
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@ -74,4 +74,12 @@ if valid
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else
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printbad("Didn't recover Gram matrix. Instead, got:")
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end
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display(big_gram_recovered)
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display(big_gram_recovered)
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# this should be a solution
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hand_solution = [0 0 1 0 0; 0 0 -1 2 2; 0 0 0 1 -1; 1 0 0 0 0; 0 1 0 0 0]
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unmix = Rational{Int64}[[1//2 1//2; 1//2 -1//2] zeros(Int64, 2, 3); zeros(Int64, 3, 2) Matrix{Int64}(I, 3, 3)]
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hand_solution_diag = unmix * hand_solution
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big_gram_hand_recovered = transpose(hand_solution_diag) * diagm([1; -ones(Int64, 4)]) * hand_solution_diag
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println("Gram matrix from hand-written solution:")
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display(big_gram_hand_recovered)
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