{
  "schema": "AN02-finite-order-figures240/v1",
  "profile": {
    "centers_exact": [
      "pi*10^2",
      "pi*10^4",
      "pi*10^6"
    ],
    "formula": "log(2*sinh(abs(y)*log(c)))/log(c)",
    "finite_center_value_at_y0": "-infinity; omitted, not plotted as a finite height",
    "canonical_limit": "abs(y)",
    "plotted_abs_y_min": 0.003,
    "plotted_abs_y_max": 1,
    "samples": [
      {
        "center_exact": "pi*10^2",
        "y_exact": "0.01",
        "value_65_digits": "-0.37605689503543893299369599709699024016599407346371526457278654303"
      },
      {
        "center_exact": "pi*10^2",
        "y_exact": "0.1",
        "value_65_digits": "0.033783544047676300436651091137809786738946782716166280857634398242"
      },
      {
        "center_exact": "pi*10^2",
        "y_exact": "0.5",
        "value_65_digits": "0.49944552502523002230110887831508933947323867414620217053384445298"
      },
      {
        "center_exact": "pi*10^2",
        "y_exact": "1.0",
        "value_65_digits": "0.99999823785290737168527640810086819371913502744896022031525552798"
      },
      {
        "center_exact": "pi*10^4",
        "y_exact": "0.01",
        "value_65_digits": "-0.15188310655430391160924003456244613590160894878262475454034836736"
      },
      {
        "center_exact": "pi*10^4",
        "y_exact": "0.1",
        "value_65_digits": "0.086987906870766018538942231489233429382282137855702104786438347544"
      },
      {
        "center_exact": "pi*10^4",
        "y_exact": "0.5",
        "value_65_digits": "0.49999692599910551140895344843722220454013619617888021016399321231"
      },
      {
        "center_exact": "pi*10^4",
        "y_exact": "1.0",
        "value_65_digits": "0.99999999990215306978038439067315165116181037489865429760125468582"
      },
      {
        "center_exact": "pi*10^6",
        "y_exact": "0.01",
        "value_65_digits": "-0.080406434466295179901468573939500171551497981457799561932299020874"
      },
      {
        "center_exact": "pi*10^6",
        "y_exact": "0.1",
        "value_65_digits": "0.096558372471088511884051732386837165409104923798581617630016632925"
      },
      {
        "center_exact": "pi*10^6",
        "y_exact": "0.5",
        "value_65_digits": "0.49999997872293977895120875885614009924841320445412415227912818579"
      },
      {
        "center_exact": "pi*10^6",
        "y_exact": "1.0",
        "value_65_digits": "0.99999999999999322730246062047636216341920025184719110488376277927"
      }
    ],
    "numeric_precision_decimal_digits": 65
  },
  "weights": {
    "initial": "a1(t)=1",
    "e_j": "2^(-j)",
    "N_j": "2^j",
    "b1": "1",
    "b_j": "min(1,max(0,abs(t)-j+1)) for j>=2",
    "recurrence": "a_(j+1)=(1+2^(-j))*a_j+2^j*b_j",
    "plotted_stages": [
      1,
      2,
      4,
      6
    ],
    "domain": [
      -6,
      6
    ],
    "fixed_order": {
      "n": 1,
      "M": 0,
      "A": 0,
      "k": 2,
      "r": 2,
      "R0": 5
    },
    "model_weights_not_asserted_to_solve_unspecified_forcing": true,
    "exact_samples_at_t_5_over_2": {
      "a2": "7/2",
      "a3": "67/8",
      "a4": "859/64"
    }
  }
}