{
  "polynomials": {
    "N": [
      "10165/4",
      "1926",
      "64"
    ],
    "J": [
      "385/2",
      "3562",
      "768"
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      "48362752/38591245"
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      "236379904/38591245"
    ],
    "D": [
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    ]
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  "roots": [
    "2",
    "7/2",
    "5",
    "13/2",
    "8"
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        "-79302422894875239199764785524636781981/27732554959384988242988084049529552500"
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        "7/2",
        "4/9",
        "12379392/14315821",
        "1486627189/143158210",
        "232686468/71579105",
        "1102607/128842389",
        "63125631/71579105",
        "47607084/71579105"
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      "status": "certified_regular_routh",
      "unstable": 0,
      "signs": [
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        1,
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        1,
        1,
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      "characteristic": [
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        "323062330673108846535813649934768529193618751913187942638701017007917/160174493007514870778714120309352406567337023062592538154336000",
        "100741772834866886573740381591698818122061644978497004431686498993057/20021811625939358847339265038669050820917127882824067269292000",
        "4293734670693452136228917942092876232305474155240428333384305804913/800872465037574353893570601546762032836685115312962690771680",
        "1995283234951984175014712790574960735875862030563962556417714145793/1112322868107742158185514724370502823384284882379114848294000",
        "69800020733539625910213237139236296957286638042572295249/1589294715674370370259594186570121744463784625766650",
        "3142957967212459340341274493451232309/299511593561357873024271307734919167"
      ],
      "determinant": "-3142957967212459340341274493451232309/299511593561357873024271307734919167"
    }
  ],
  "scope": "Distinct roots give distinct equilibria. Geometry is preserved by admitted kinetic retuning; their stability is checked separately, not inferred from count."
}