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Hello, I am a beginner in using SAGE and wanted to ask if there is a way to compute the order of the following matrix in SAGE?

I want to compute order of M = ([[5 + sqrt(7), 0], [0 , 5 - sqrt(7)]]) in PGL(2, 13).

Any help would be appreciated.

Thanks

Hello, I am a beginner in using SAGE and wanted to ask if there is a way to compute the order of the following matrix in SAGE?

I want to compute order of M = ([[5 + sqrt(7), 0], [0 , 5 - sqrt(7)]]) in PGL(2, 13).

Any help would be appreciated.

Thanks

Hello, I am a beginner in using SAGE and wanted to ask if there is a way to compute the order of the following matrix in SAGE?

I want to compute order of M = ([[5 + sqrt(7), 0], [0 , 5 - sqrt(7)]]) in PGL(2, 13).

Any help would be appreciated.

Thanks

Hello, I am a beginner in using SAGE and wanted to ask if there is a way to compute the order of the following matrix in SAGE?

I want to compute order of M = ([[5 + sqrt(7), 0], [0 , 5 - sqrt(7)]]) in PGL(2, 13).

Any help would be appreciated.

Thanks