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      "second": 11,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 13,
      "second": 12,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 13,
      "second": 13,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 13,
      "second": 14,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 13,
      "second": 15,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 0,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 1,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 2,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 3,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 4,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 5,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 6,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 7,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 8,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 9,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 10,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 11,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 12,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 13,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 14,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 14,
      "second": 15,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 0,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 1,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 2,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 3,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 4,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 5,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 6,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 7,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 8,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 9,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 10,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 11,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 12,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 13,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 14,
      "transpose_of_product_equals_reversed_transpose_product": true
    },
    {
      "first": 15,
      "second": 15,
      "transpose_of_product_equals_reversed_transpose_product": true
    }
  ],
  "tail_figure_example": {
    "n": 2,
    "m": 1,
    "s": 11,
    "comparison_interval": [
      -5,
      4
    ],
    "source_first_triangle_term_lower": 8,
    "target_first_triangle_term_lower": 7,
    "largest_needed_adjacent_degree": 5,
    "induced_invertibility_is_an_additional_premise": true
  },
  "kernel_before_flip": {
    "T1": "regular action1",
    "T2": "density adjoint action2"
  },
  "kernel_after_flip": {
    "T2": "input regular action1",
    "T1": "output density adjoint action2"
  },
  "duality_invertibility_hypothesis": "the comparison is invertible on every induced coherent coefficient",
  "induced_coefficient_invertibility_is_still_required": true
}
