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I have problem on generate matrix group over symbolic ring.

First, I define

eta=I;
eta2=(1+I)*sqrt(2)/2;

Then, define a generator matrix

T=matrix(SR,4,[eta**(i*j)*eta2/2 for i in range(4) for j in range(4)]);

I try to make a matrix group by

G=MatrixGroup(T);

What I get is only very long computation that does not give any result. Can somebody help me? Thank you very much.

I have checked the order of T, I got 8 since T**8=I where I is identity matrix.

I have problem on generate matrix group over symbolic ring.

First, I define

eta=I;
eta2=(1+I)*sqrt(2)/2;

Then, define a generator matrix

T=matrix(SR,4,[eta**(i*j)*eta2/2 for i in range(4) for j in range(4)]);

I try to make a matrix group by

G=MatrixGroup(T);

What I get is only very long computation that does not give any result. Can somebody help me? Thank you very much.

I have checked the order of T, I got 8 since T**8=I where I is identity matrix.

I have problem on generate matrix group over symbolic ring.

First, I define

eta=I;
eta2=(1+I)*sqrt(2)/2;

Then, define a generator matrix

T=matrix(SR,4,[eta**(i*j)*eta2/2 for i in range(4) for j in range(4)]);

I try to make a matrix group by

G=MatrixGroup(T);

What I get is only very long computation that does not give any result. Can somebody help me? Thank you very much.

I have checked the order of T, I got 8 since T**8=I where I is identity matrix.