Z2 residual dim 16 | 56 |q|: {'0.0': 32, '1.0': 24} | 70 |q|: {'0.0': 36, '1.0': 32, '2.0': 2}
8-charge solutions (units of q0, sorted, sum 0, class (1/2)Z in [-2,2]): [(-0.5, -0.5, -0.5, -0.5, 0.5, 0.5, 0.5, 0.5)]
  gravitini (8)          |q| = 0.5   -> published rung 1.0
  massive vectors (12)   |q| = 1.0   -> published rung 2.0
  massive scalars (20)   |q| = 1.0   -> published rung 2.0
  heaviest scalars (2)   |q| = 2.0   -> published rung 4.0
  SUMMARY {'counts': {'computed': 12, 'symbolic': 0, 'receipt': 0, 'argument': 3, 'failed': 0}, 'checks': [{'kind': 'computed', 'name': 'G1 residual algebra dim 16', 'pass': True, 'derived_from': 'svd gauge span, massless compact part', 'map_id': None}, {'kind': 'computed', 'name': 'G2 Z2 compact (antisymmetric)', 'pass': True, 'derived_from': 'Z2 matrix', 'map_id': None}, {'kind': 'computed', 'name': 'K1 56 spectrum = {0 x32, 1 x24}', 'pass': True, 'derived_from': 'eig Z2 on 56', 'map_id': None}, {'kind': 'computed', 'name': 'K2 70 spectrum = {0 x36, 1 x32, 2 x2}', 'pass': True, 'derived_from': 'eig ad Z2 on 70', 'map_id': None}, {'kind': 'computed', 'name': 'K3 unique 8-charge solution = (+-1/2 x4)', 'pass': True, 'derived_from': 'enumeration over declared class', 'map_id': None}, {'kind': 'computed', 'name': 'K4 gravitini |q| = 1/2 (all eight)', 'pass': True, 'derived_from': 'solution of K3', 'map_id': None}, {'kind': 'computed', 'name': 'K5 vectors 16 at 0, 12 at |q|=1', 'pass': True, 'derived_from': 'L2 of the K3 solution', 'map_id': None}, {'kind': 'computed', 'name': 'K6 s85 massive-vector charges are +-q0 (independent route)', 'pass': True, 'derived_from': '_S85_massive_vec_charges.json', 'map_id': None}, {'kind': 'computed', 'name': 'K7 A1 Takagi values 1/4 x8 (degenerate, like |q|=1/2 x8)', 'pass': True, 'derived_from': '_S83_observables_origin.json (s83o)', 'map_id': None}, {'kind': 'computed', 'name': 'K8 dWST potential V = -3/4|A1|^2 + 1/24|A2|^2 = 0 at the origin', 'pass': True, 'derived_from': 's83o |A1|^2, |A2|^2', 'map_id': None}, {'kind': 'computed', 'name': 'N1 control: c = (+-1 x4) FAILS', 'pass': True, 'derived_from': 'same matcher, wrong class member', 'map_id': None}, {'kind': 'computed', 'name': 'N2 control: scrambled 56 spectrum matches no c', 'pass': True, 'derived_from': 'same enumeration', 'map_id': None}, {'kind': 'argument', 'name': 'A1 mass = charge for all spins', 'pass': None, 'text': 'thm:kkform proves m = |q| q0 for scalars only; that gravitini and vectors obey the same law (masses 1:2:2:4 in the CSS spectrum) is the Scherk-Schwarz/CSS law of arXiv:1307.4389, cited, not house-proved.'}, {'kind': 'argument', 'name': 'A2 published charges (arXiv:1307.4389 Table 2, fetched S362)', 'pass': None, 'text': 'spin 3/2 Q=+-1 m^2=1/8; spin 1 Q=0,+-2 m^2=0,1/2; spin 1/2 Q=+-1 m^2=0 and 1/8, Q=+-3 m^2=9/8 => m^2 = Q^2/8 for spins 3/2 and 1 only; Q = 2|q|. Scalar row not legible; scalar Q from the house L4 charges.'}, {'kind': 'argument', 'name': 'A3 dWST gravitino normalization', 'pass': None, 'text': 'sqrt2 x A1 Takagi value 1/4 = 1/(2 sqrt2), the published gravitino mass; the factor sqrt2 is the dWST mass-matrix convention, cited not house-verified.'}]}
  RESULT_HASH 11fa6324529fdbbe
