# Reproduced pre-lattice console outputs for JAMT v2.5

REFERENCE: Orion (Orion)
rank=26  area=594.120 deg^2  pairs=105  mode=natural
shared-map score distribution: 0/3=105, 1/3=0, 2/3=0, 3/3=0
best shared-map score=0/3
  pair=(5,6)  P=0 I=0 S=0
  pair=(5,7)  P=0 I=0 S=0
  pair=(5,8)  P=0 I=0 S=0
  pair=(5,9)  P=0 I=0 S=0
  pair=(5,10)  P=0 I=0 S=0
  pair=(5,12)  P=0 I=0 S=0
  pair=(5,14)  P=0 I=0 S=0
  pair=(5,15)  P=0 I=0 S=0
  pair=(5,16)  P=0 I=0 S=0
  pair=(5,17)  P=0 I=0 S=0
SHARED-MAP FULL CLOSURE: FAIL
NOTE: Formula-Space Audit v1 separately shows free target-specific P formulas are non-discriminatory (2340/2340).

OWN-DEMAND REFERENCE: Perseus (Perseus)
real rank r=24; area=614.997 deg^2
demand equations: a(r)=40-3r/8=31.000000; b(r)=40+11r/8=73.000000
exact admissible demand: (31, 73)
rounded demand (Python nearest-integer convention): (31, 73)
exact native hits=0/2; contains 31=False; contains 73=False
rounded native hits=0/2; contains 31=False; contains 73=False
native descriptor pool (11): [5, 6, 8, 10, 12, 17, 18, 21, 22, 26, 30]

POST-v1 SYSTEM DECOMPOSITION SUMMARY
status: POST-v1 SYSTEM DECOMPOSITION; FORMULA-SPACE v1 VERDICT UNCHANGED
fixed-point: {'planar_fixed_points': ['Cygnus'], 'spherical_fixed_points': ['Cygnus'], 'cygnus_planar_distance': 0.0026334284763436244, 'planar_next': {'name': 'Taurus', 'rank': 17, 'planar_equivalent_radius_deg': 15.930230332614181, 'planar_rank_difference': 1.0697696673858186}, 'planar_margin_ratio': 406.2269687579049, 'cygnus_spherical_distance': 0.04979001800641214, 'spherical_next': {'name': 'Taurus', 'rank': 17, 'spherical_cap_equivalent_radius_deg': 15.981992669833359, 'spherical_rank_difference': 1.0180073301666415}, 'spherical_margin_ratio': 20.446012492615264}
interior 88-row: {'best_two': [{'name': 'Cygnus', 'abbr': 'Cyg', 'rank': 16, 'area_deg2': 803.983, 'pi_c': 3.14055859375, 'gg_residual_fraction': 0.00030626203795890226, 'sarc_residual_fraction': 9.030138981039052e-05, 'epsilon_I_min_fraction': 0.00030626203795890226}, {'name': 'Taurus', 'abbr': 'Tau', 'rank': 17, 'area_deg2': 797.249, 'pi_c': 2.7586470588235295, 'gg_residual_fraction': 0.1218752627505296, 'sarc_residual_fraction': 0.13366395015702187, 'epsilon_I_min_fraction': 0.13366395015702187}], 'margin_ratio_second_over_cygnus': 436.4365595156081}
exact-demand rank census: {'viable_exact_ranks': [{'rank': 8, 'name': 'Draco', 'a': 37, 'b': 51}, {'rank': 16, 'name': 'Cygnus', 'a': 34, 'b': 62}, {'rank': 24, 'name': 'Perseus', 'a': 31, 'b': 73}, {'rank': 32, 'name': 'Vela', 'a': 28, 'b': 84}], 'planar_fixed_point_ranks': [16], 'intersection_ranks': [16]}
own-demand exact complete: ['Cygnus']
own-demand rounded complete: ['Cygnus']
non-Cygnus rounded hit distribution: {'0': 18, '1': 1, '2': 0}
Perseus: {'tuple': [24, 18, 30], 'formula_space_primary_min_cost': 6, 'formula_space_reported_formulas': {'khufu': 'sqrt(90*b)', 'khafre': 'atan(r/a)', 'menkaure': 'atan(b/r)'}, 'canonical_I': {'gg_residual_pct': 66.01317580289128, 'sarc_residual_pct': 72.50719869555886, 'pass': False}, 'canonical_S_for_free_formula_tuple': {'ratio_residual_pct': 47.61904761904762, 'coefficient80_residual_pct': 70.0, 'pass': False}, 'own_demand_exact_pair': [31, 73], 'own_demand_native_hit_count': 0, 'native_contains_a': False, 'native_contains_b': False}
P-free/I/S decomposition: {'P_free_count': 2340, 'I_count': 210, 'S_count': 1, 'I_intersection_S_count': 1, 'I_intersection_S': [{'asterism': 'Cygnus', 'iau_name': 'Cygnus', 'r': 16, 'a': 34, 'b': 62}], 'P_free_intersection_I_intersection_S_count': 1}
Khufu split: {'rank': 16, 'b_minus_a': 28.0, 'a_plus_b': 96, 'derived_a': 34.0, 'derived_b': 62.0, 'khufu_frozen_transfer_deg': 51.84592558726288, 'khufu_residual_pct': 0.002856897849530711, 'stellar_pool_consulted_for_prediction': False, 'conditional_on_frozen_khufu_formula': True}
mixed pi baseline: {'gg_observed': 3.141520722288698, 'pi_exact': 3.141592653589793, 'pi_c': 3.14055859375, 'gg_residual_pct_to_pi': 0.0022896968523785067, 'gg_residual_pct_to_pi_c': 0.030626203795890226, 'sarc_observed': 2.8591832180316894, 'six_minus_pi': 2.858407346410207, 'six_minus_pi_c': 2.85944140625, 'sarc_residual_pct_to_6_minus_pi': 0.027136128128810118, 'sarc_residual_pct_to_6_minus_pi_c': 0.009030138981039052}

=== EARLIER DIMENSIONAL v5.2 SEVEN-CRITERION ASTERISM SCREEN (packaged GIZA_DIMENSIONAL_REPRO_v5_2.zip) ===
ASTERISM SCREENING 
======================================================================
  Constellation   Rank  #descr  #pairs  Best n Best pair      
  ------------------------------------------------------------
  Cygnus            16      21     210     7/7 (34,62)        
  Crux              88       7      21     0/7 -              
  Orion             26      15     105     0/7 -              
  Ursa Major         3      27     351     1/7 (5,52)         
  Cassiopeia        25      15     105     1/7 (47,50)        
  Lyra              52       9      36     0/7 -              
  Bootes            13      24     276     1/7 (5,19)         
  Leo               12      11      55     1/7 (5,6)          
  Aquila            22      14      91     1/7 (5,27)         
  Taurus            17      11      55     0/7 -              
  Pegasus            7      15     105     0/7 -              
  Andromeda         19       6      15     0/7 -              
  Perseus           24      11      55     1/7 (5,6)          
  Auriga            21      15     105     1/7 (11,23)        
  Hercules           5      29     406     1/7 (10,45)        
  Cepheus           27      16     120     1/7 (47,70)        
  Sagittarius       15       6      15     0/7 -              
  Scorpius          33      13      78     0/7 -              
  Gemini            30      10      45     0/7 -              
  Canis Major       43      14      91     0/7 -              

  Constellations achieving 7/7: 1
  Result: only Cygnus achieves the multi-quantity closure under exhaustive natural-descriptor search.
