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var('A0','A1','B0','B1','B2','B3')
eqns =[-A0 + 5*A1 + B0 + 2*B1 + 4*B2 + B3 + 3 == 0,-3*A0 + 2*A1 + B0 + 4*B1 + 2*B2 + B3 + 1 == 0,-6*A0 + 6*A1 + B0 + 6*B1 + B2 + 6*B3 - 6 == 0,-5*A0 + 2*A1 + B0 + B1 + B2 + B3 - 5 == 0,-4*A0 + 2*A1 + B0 + 3*B1 + 2*B2 + 6*B3 + 6 == 0,-2*A0 + 4*A1 + B0 + 5*B1 + 4*B2 + 6*B3 + 6 == 0]
solve_mod(eqns,7)
The result is:
[(6, 5, 5, 0, 3, 3)].
