environment = Python 3.13.5; SymPy 1.14.0
object = standard split-Albert Freudenthal coordinates; NOT frozen E7 arrays
jordan_coordinate_count = 27
norm_polynomial_monomials = 89
gradient_equals_trace_metric_times_adjoint = True
transverse_polynomial_degrees = [0, 2, 4]
I4_on_mass_boundary = -4*a*N(x)
all_first_conjugate_derivatives_on_boundary = 0
FTS_dimension = 56
boundary_rank_and_symplectic_perp_dimension = (28, 28)
boundary_pullback_Omega_zero = True
grading_weights_a_x_b_y = (-6, 2, 6, -2)
symplectic_and_quartic_grading_test = True
witness_boundary_H = -4
witness_qdot_nonzero_entries = {}
witness_pdot_nonzero_entries = {0: 4, 1: 4, 2: 4, 3: 4}
full_Hamiltonian_vector_is_zero = False
registered_E7_solder_and_local_polarization = NOT VERIFIED: original arrays absent
result = PASS: stated exact coordinate assertions only