files / problems / kissing-5d / compute / q2 / unrestricted_dual.json

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{
  "Levenshtein_L5": {
    "name": "Levenshtein_L5",
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    "float_bound": 48.0,
    "certified": true,
    "comment": "L_5(5,1/2)=48 from the BDM odd-bound formula; replay levenshtein.py",
    "excludes": []
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  "degrees": {
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        {
          "den": 10000,
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          "bound": "119997/2500",
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        {
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        {
          "den": 100,
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          "bound": "927/20",
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        {
          "den": 1000,
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          "bound": "46337/1000",
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        {
          "den": 10000,
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      "rational_attempts": [
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        {
          "den": 100,
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        {
          "den": 1000,
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          "bound": "46337/1000",
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        {
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          "bound": "463369/10000",
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      ]
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        {
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        {
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          "bound": "46337/1000",
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        {
          "den": 10000,
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          "bound": "463369/10000",
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      ]
    },
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      "numerical": {
        "success": true,
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      "rational_attempts": [
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          "den": 10,
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        {
          "den": 100,
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        {
          "den": 1000,
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          "bound": "46337/1000",
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        {
          "den": 10000,
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          "bound": "463369/10000",
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          "positive_sample": true
        }
      ]
    }
  },
  "best_certified": {
    "deg": 5,
    "source": "ansatz (t-1/2)q(t)^2",
    "c": [
      "1109/2520",
      "233/108",
      "407/90",
      "617/99",
      "320/63",
      "800/297"
    ],
    "bound": "53235/1109",
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    "gegenbauer_coeffs": [
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      "800/297"
    ],
    "T": "unrestricted [-1,1/2]",
    "unrestricted": true
  },
  "excludes_any_k": [],
  "comment": "Unrestricted Delsarte cannot beat the Odlyzko\u2013Sloane number \u224846.345. No dual found here has bound < 44, so no k in {41,42,43} is excluded without a restricted angle set."
}