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And in fact, Galois developed a sort of set of rules for how the symmetries interact.
It's a little bit like the rules for Sudoku. I don't know whether any of you do Sudoku's here but remember you are not allowed the same number in any column or any row. Well,
that's the same for symmetries as well. You are not allowed any symmetry in the same row here, in the main body of the table, or in the same column. And Galois developed some
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