{
  "beta": "7/8",
  "A": "1/16",
  "d": 1,
  "R_exact": "zeta(8/7)/16",
  "R_decimal": "0.4742198805792018676785479433596978051868382082088457584473193313194369410434272407694",
  "R_upper_bound": "1/2",
  "c_exact": "log(4)*64^(-7/8)",
  "frequency_window": [
    -300,
    300
  ],
  "zero_records": [
    {
      "j": 1,
      "m": -1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-50.26548245743669181540229413247204614715471039000169313559911347692506250057934397805",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": 1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "50.26548245743669181540229413247204614715471039000169313559911347692506250057934397805",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": -2,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-100.5309649148733836308045882649440922943094207800033862711982269538501250011586879561",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": 2,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "100.5309649148733836308045882649440922943094207800033862711982269538501250011586879561",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": -3,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-150.7964473723100754462068823974161384414641311700050794067973404307751875017380319341",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": 3,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "150.7964473723100754462068823974161384414641311700050794067973404307751875017380319341",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": -4,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-201.0619298297467672616091765298881845886188415600067725423964539077002500023173759122",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": 4,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "201.0619298297467672616091765298881845886188415600067725423964539077002500023173759122",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": -5,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-251.3274122871834590770114706623602307357735519500084656779955673846253125028967198902",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 1,
      "m": 5,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "251.3274122871834590770114706623602307357735519500084656779955673846253125028967198902",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 2,
      "m": -1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-110.9951841620216450650484536741613280431290294444480482196108399790798446485130608548",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 2,
      "m": 1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "110.9951841620216450650484536741613280431290294444480482196108399790798446485130608548",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 2,
      "m": -2,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-221.9903683240432901300969073483226560862580588888960964392216799581596892970261217096",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 2,
      "m": 2,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "221.9903683240432901300969073483226560862580588888960964392216799581596892970261217096",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 3,
      "m": -1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-176.4214102354092800291379886369942945521671495744955357951515974391711675804835201205",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 3,
      "m": 1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "176.4214102354092800291379886369942945521671495744955357951515974391711675804835201205",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 4,
      "m": -1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "-245.0972378031634314067547239157021167425481545241269420982639395168276572309060858353",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    },
    {
      "j": 4,
      "m": 1,
      "exact_x_formula": "16*pi*m*j^(8/7)",
      "x_decimal": "245.0972378031634314067547239157021167425481545241269420982639395168276572309060858353",
      "Q1_imaginary": 0,
      "Q2_imaginary": -1
    }
  ],
  "all_zeros_in_the_shown_window_included": true,
  "carrier_coordinates_normalized_by_R": true,
  "first_two_carrier_bound": [
    [
      -1,
      1
    ],
    [
      0,
      0
    ]
  ],
  "last_four_carrier_bound": [
    [
      -1,
      1
    ],
    [
      -1,
      1
    ]
  ],
  "exact_support_equality_not_claimed": true,
  "nonzero_system_solution_requires_the_separate_proper_ideal_hypothesis": true
}
