environment = Python 3.13.5; SymPy 1.14.0
arithmetic = exact rationals / symbolic polynomials / algebraic radicals
object = published coefficient-to-Hessian-weight map, conditional on its carrier character
two_jet_matrix = [[0, 1, 0, 0, 0], [4/9, 0, 1, 0, 0], [16/27, 0, 0, 1, -1], [16/27, 0, 0, 1, 1]]
two_jet_rank = 4
two_jet_kernel_vector = [1, 0, -4/9, -16/27, 0]
Phi_diag_matrix = [[0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [-1, 1, 0, 0, 0], [-1, 0, 0, 0, 27]]
Phi_diag_rank = 4
Phi_diag_selected_ray = [1, 1, 0, 0, 1/27]
Phi_diag_row_deletion_ranks = [3, 3, 3, 3]
selected_Hessian_weights = [1, 4/9, 5/9, 17/27]
scalar_character_series_through_degree_6 = 16*s**6/405 + 8*s**4/27 + 8*s**2/9
defect_value_first_second_derivatives = [0, 0, 0]
defect_fourth_derivative = 64/9
stability_point_order = (t,t2,u,v,w,z)
stability_point = (1, 1, 1, 1, 1, 0)
strict_stability_slacks = [1, 13/9, 43/27, 43/27, 1]
ambient_coefficient_dimension = 6
positive_scale_quotient_dimension = 5
Phi_plus_literal_Casimir_rank = 5
Phi_plus_support_Casimir_rank = 5
nonzero_adopted_ray_survives_either_Casimir_system = False
sum_of_squares_chain_rule_control = True
sum_of_squares_control_is_frozen_Kempf_Ness_test = False
frozen_detector_minimum_character_and_H2_certificates = NOT VERIFIED: original objects absent
result = PASS: displayed coefficient, jet and source-condition implications only