Hello,

I was trying to compute with the general orthogonal group. If I am not 
wrong, I think that one can specify the bilinear form for the general 
orthogonal group.

I did the following:
sage: b
[0 0 0 1 0 0]
[0 0 0 0 1 0]
[0 0 0 0 0 1]
[1 0 0 0 0 0]
[0 1 0 0 0 0]
[0 0 1 0 0 0]

This defines the bilinear form.

Then the following:

sage: G=GO(6,11,1,b)
sage: G.invariant_bilinear_form()
[0 1 0 0 0 0]
[1 0 0 0 0 0]
[0 0 2 0 0 0]
[0 0 0 2 0 0]
[0 0 0 0 2 0]
[0 0 0 0 0 2]


I thought that I would gent back my bilinear form. However, sage puts its 
own bilinear form.

Is there something I am missing?


Thanks and Regards,
Ayan

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