environment = Python 3.13.5; SymPy 1.14.0
arithmetic = exact rationals / symbolic polynomials / algebraic radicals
object = root-data control for identification fingerprints, not frozen complement
D4_Cartan_matrix = [[2, -1, 0, 0], [-1, 2, -1, -1], [0, -1, 2, 0], [0, -1, 0, 2]]
G2_plus_G2_Cartan_matrix = [[2, -1, 0, 0], [-3, 2, 0, 0], [0, 0, 2, -1], [0, 0, -3, 2]]
root_counts = (24, 24)
identical_split_fingerprints = {'rank': 4, 'dimension': 28, 'compact_dimension': 12, 'noncompact_dimension': 16, 'Cartan_character': 4, 'center_dimension': 0}
Dynkin_component_counts = (1, 2)
Cartan_determinants = (4, 1)
explicit_so44_model_k_p_dimensions = (12, 16)
explicit_so44_trace_form_inertia = (16, 12, 0)
fingerprint_is_complete_type_certificate = False
registered_54_failure_16_closure_and_generated_algebra = NOT VERIFIED: exact frozen arrays absent
result = PASS: standard diagnostic only; no registered Lie-triple result reexecuted