and the corresponding Haar measure is μ μ ( S U ( 3 ) ) = 64 sin ⁡ ⁡ ( ϕ ϕ 2 ) 2 sin ⁡ ⁡ ( 1 2 ( θ θ + ϕ ϕ / 2 ) ) 2 sin ⁡ ⁡ ( 1 2 ( θ θ − − ϕ ϕ / 2 ) ) 2 such that − − 2 π π ≤ ≤ ϕ ϕ ≤ ≤ 2 π π and − − 3 π π ≤ ≤ θ θ ≤ ≤ 3 π π ,