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Oct 14, 2021 at 19:14 comment added Ian Gershon Teixeira ah I see you are trying to arrange things to get $ \Gamma_0(2) $. I think you still have a typo but if you change your equation to $ X diag(1,2)=diag(1,2)Y $ then it should work out.
Oct 14, 2021 at 13:51 comment added David E Speyer Thanks for the correction. Actually, the typo was in a different place. See if this works.
Oct 14, 2021 at 13:51 history edited David E Speyer CC BY-SA 4.0
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Oct 14, 2021 at 13:35 comment added Ian Gershon Teixeira Wow this is a fabulous counterexample I feel like I'm learning alot! Thanks so much. (Also I think there is a tiny typo in the last line the second matrix in the pair should be [ 2a,b,c, d/2] not [a,2b,c/2,d])
Oct 14, 2021 at 13:12 history answered David E Speyer CC BY-SA 4.0