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Let p be an odd prime number and T(p) be...

Let p be an odd prime number and `T_(p)` be the following set of `2 xx 2` matrices
`T_(p) = {A = [{:(a, b),(c, a):}]: a, b, c in {0, 1, 2...., p-1)}`
The number of A in `T_(p)` such that the trace of A is not divisible by p but det (A) is divisible by p is

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