{
  "kernel_example": "P=sum_j partial_t^j/(j!)^2; 2*pi*abs(K(1/k))=k*exp(k)",
  "samples": [
    {
      "k": 2,
      "w": "1/2",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "6",
        "3": "38/3",
        "8": "4654/315"
      }
    },
    {
      "k": 3,
      "w": "1/3",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "12",
        "3": "39",
        "8": "268923/4480"
      }
    },
    {
      "k": 4,
      "w": "1/4",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "20",
        "3": "284/3",
        "8": "67324/315"
      }
    },
    {
      "k": 5,
      "w": "1/5",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "30",
        "3": "590/3",
        "8": "5576545/8064"
      }
    },
    {
      "k": 6,
      "w": "1/6",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "42",
        "3": "366",
        "8": "10254/5"
      }
    },
    {
      "k": 7,
      "w": "1/7",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "56",
        "3": "1883/3",
        "8": "32237681/5760"
      }
    },
    {
      "k": 8,
      "w": "1/8",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "72",
        "3": "3032/3",
        "8": "4451224/315"
      }
    },
    {
      "k": 9,
      "w": "1/9",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "90",
        "3": "1548",
        "8": "148869153/4480"
      }
    },
    {
      "k": 10,
      "w": "1/10",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "110",
        "3": "6830/3",
        "8": "4618430/63"
      }
    },
    {
      "k": 11,
      "w": "1/11",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "132",
        "3": "9713/3",
        "8": "6160453211/40320"
      }
    },
    {
      "k": 12,
      "w": "1/12",
      "full_scaled_kernel_exact": "k*exp(k)",
      "finite_scaled_kernels": {
        "1": "156",
        "3": "4476",
        "8": "10597236/35"
      }
    }
  ],
  "normalization_example_normal_dimension": 2,
  "output_cube_cardinalities": [
    0,
    1,
    2
  ],
  "output_ambient_complex_dimension": 4,
  "retained_vertical_degrees": [
    0,
    1,
    2,
    3,
    4
  ],
  "finite_inverse": "A=1-d_h*h_v+(d_h*h_v)^2",
  "homotopy": "H=h_v*A",
  "boundary_identity": "D H + H D = 1 - i P",
  "input_limit_topology": "Holomorphic compact convergence, then one fixed weighted graph model",
  "supported_distribution_limit_asserted": false,
  "product_difference": "D_i=F_(G_i,T_prime_i)C_i(P,Q)-kappa_prime_i(P circ Q); d B_i=D_i on T_prime_i",
  "final_boundary": "d F_(T_prime_i,G_prime_i)B_i=F_(G_i,G_prime_i)C_i-F_(T_prime_i,G_prime_i)kappa_prime_i; IM.23 on G_prime_i"
}