Exact multiplicity of the Wilson supercongruence in F_q[t]: verification ok F_9 = F_3[a]/(a**2 - a - 1): field tables consistent [ 0.0 s] ok F_2 = product of the nonzero polynomials of degree < 2 over F_3 [ 0.0 s] ok F_3 = product of the nonzero polynomials of degree < 3 over F_3 [ 0.0 s] ok q=3, d=2: all 3 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 3} [ 0.0 s] ok q=3, d=3: all 8 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 6, 2: 2} [ 0.0 s] ok q=3, d=4: all 18 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 12, 2: 6} [ 0.0 s] ok q=3, d=5: all 48 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 48} [ 0.1 s] ok q=3, d=6: all 116 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 101, 2: 15} [ 0.3 s] ok q=3, d=7: all 312 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 288, 2: 24} [ 1.5 s] ok q=5, d=2: all 10 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 10} [ 1.5 s] ok q=5, d=3: all 40 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 40} [ 1.5 s] ok q=5, d=4: all 150 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 150} [ 1.6 s] ok q=9, d=2: all 36 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 36} [ 1.6 s] ok q=9, d=3: all 240 irreducible P: m_direct = formula = 1 + v_P(num H); values {1: 216, 2: 24} [ 1.7 s] ok q=3, d=3: irreducible, depth 1, formula m=2, direct v_P(F_d+1) = 2, v_P(num H) = 1 [ 1.7 s] ok q=3, d=18: irreducible, depth 2, formula m=4, direct v_P(F_d+1) = 4, v_P(num H) = 3 [ 1.9 s] ok q=5, d=5: irreducible, depth 1, formula m=4, direct v_P(F_d+1) = 4, v_P(num H) = 3 [ 1.9 s] ok q=5, d=51: irreducible, depth 2, formula m=6 [ 2.0 s] ok q=9, d=3: irreducible, depth 1, formula m=2, direct v_P(F_d+1) = 2, v_P(num H) = 1 [ 2.0 s] ok q=9, d=10: irreducible, depth 2, formula m=8, direct v_P(F_d+1) = 8, v_P(num H) = 7 [ 2.1 s] ok q=9, d=54: irreducible, depth 3, formula m=10 [ 2.2 s] ok q=3, d=3: Taylor coefficients: first nonzero at k=2; f_k = -h_k for k