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    },
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    },
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    },
    {
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  ],
  "counts": {
    "source_mixed_squares": 6,
    "finite_word_routes": 24,
    "translated_frame_maps": 20,
    "all_mixed_squares_commute": true
  },
  "general_order_defect": "F_(B+h)^P o F_A^J minus F_(A+h)^J o F_B^P has zero slope difference and constant(B-A-230h)/20631.",
  "commutation_condition": "B-A=230h, exactly the equal-gain pivot condition. At fixed pivots h0 the defect isD/20631, hence±20/897 on these source pairs.",
  "reduced_frame": "Subtract t*h before step t and(t+1)*h after it. Both maps become dilations centered at the same existing initial source x0=A+299h=B+69h; their ratios remain J and P.",
  "word_formula": "For a source path of lengthn, any word with p P-steps has affine form x -> x_n + P^p J^(n-p)(x-x_0). Order changes with fixed counts do not change this map; different counts remain different maps even though the one source input has the same output.",
  "limits": "This is an exact moving-frame comparison on finite admitted source paths, not fixed-pivot commutation, universal source closure, a single physical-time phase action or preservation of17K under paired iteration."
}