h = (-53/64, 3/64, -1/64): min Phi_LP = -8.461538e-05 at p = 0.1800; grid min of Phi# = -8.461538e-05; Phi_LP - Phi# on the 46 grid points in [-1.32e-16, +4.55e-17]
h = (-47/64, 3/32, -3/64): min Phi_LP = -1.169584e-04 at p = 0.2700; grid min of Phi# = -1.169584e-04; Phi_LP - Phi# on the 48 grid points in [-2.91e-17, +2.68e-05]
h = (-23/32, 5/64, -1/32): min Phi_LP = -6.922761e-05 at p = 0.2250; grid min of Phi# = -6.922761e-05; Phi_LP - Phi# on the 48 grid points in [-2.78e-17, +9.87e-17]
h = (-23/32, 7/64, -1/16): min Phi_LP = -1.162860e-03 at p = 0.3050; grid min of Phi# = -1.162860e-03; Phi_LP - Phi# on the 48 grid points in [-3.55e-16, +1.83e-04]
h = (-43/64, 1/8, -5/64): min Phi_LP = -1.937992e-03 at p = 0.3300; grid min of Phi# = -1.937992e-03; Phi_LP - Phi# on the 49 grid points in [-3.43e-17, +3.52e-04]
h = (-41/64, 1/8, -5/64): min Phi_LP = -5.732380e-04 at p = 0.3250; grid min of Phi# = -5.732380e-04; Phi_LP - Phi# on the 49 grid points in [-1.34e-16, +3.37e-04]
h = (-41/64, 9/64, -7/64): min Phi_LP = -1.728895e-04 at p = 0.3750; grid min of Phi# = -1.728895e-04; Phi_LP - Phi# on the 48 grid points in [-3.05e-17, +6.84e-04]
h = (-9/16, 9/64, -3/32): min Phi_LP = -2.569600e-03 at p = 0.3500; grid min of Phi# = -2.569600e-03; Phi_LP - Phi# on the 50 grid points in [-2.96e-16, +5.64e-04]
h = (-17/32, 9/64, -3/32): min Phi_LP = -2.289334e-03 at p = 0.3550; grid min of Phi# = -2.289334e-03; Phi_LP - Phi# on the 50 grid points in [-1.03e-16, +5.53e-04]
h = (-1/2, 9/64, -3/32): min Phi_LP = -2.340463e-03 at p = 0.3550; grid min of Phi# = -2.340463e-03; Phi_LP - Phi# on the 49 grid points in [-1.73e-17, +5.43e-04]
h = (-27/64, 1/8, -5/64): min Phi_LP = -4.413178e-05 at p = 0.3400; grid min of Phi# = -4.413178e-05; Phi_LP - Phi# on the 49 grid points in [-8.67e-18, +3.25e-04]
h = (-27/64, 5/32, -9/64): min Phi_LP = -5.961230e-04 at p = 0.4200; grid min of Phi# = -5.961230e-04; Phi_LP - Phi# on the 50 grid points in [-2.15e-17, +9.94e-04]
h = (-25/64, 1/8, -5/64): min Phi_LP = -1.049522e-03 at p = 0.3450; grid min of Phi# = -1.049522e-03; Phi_LP - Phi# on the 49 grid points in [-1.59e-16, +3.25e-04]
h = (-25/64, 9/64, -7/64): min Phi_LP = -1.475983e-04 at p = 0.3900; grid min of Phi# = -1.475983e-04; Phi_LP - Phi# on the 50 grid points in [-1.72e-17, +6.25e-04]
h = (-23/64, 9/64, -7/64): min Phi_LP = -1.724580e-03 at p = 0.3950; grid min of Phi# = -1.724580e-03; Phi_LP - Phi# on the 50 grid points in [-4.55e-18, +6.06e-04]
h = (-11/32, 7/64, -1/16): min Phi_LP = -2.386598e-04 at p = 0.3250; grid min of Phi# = -2.386598e-04; Phi_LP - Phi# on the 50 grid points in [-1.25e-17, +1.87e-04]
h = (-5/16, 9/64, -1/8): min Phi_LP = -7.405156e-04 at p = 0.4250; grid min of Phi# = -7.405156e-04; Phi_LP - Phi# on the 50 grid points in [-1.97e-17, +6.70e-04]
17 pairs: Phi_LP >= Phi# at every grid point (up to rounding), with gains away from the minimiser, but the grid minimum of Phi_LP equals that of Phi# (largest relative difference 1.5e-13), so the LP decides nothing
