{
  "eliminant_coefficients": [
    "-705360715212985133432832000000",
    "-46710459395611972479351870214144000",
    "1091298571108764575969119861860891520",
    "-7992503960280385441898638317148787217",
    "10246419909513601316077494380148471002",
    "104909642227150907362962637232318710705",
    "-293307158899976688359365101328600524874",
    "-445691146788445038571042070278366201955",
    "1383374332306901749028932757047718872354",
    "1931794782513101932192026620954517418251",
    "-3250028959307734641315405342584996308506",
    "-3419775412722318138357577105615965433960",
    "953806216374767111141008498929346530200",
    "2324290020008976294836165290971923690000",
    "706680730388463516757856739118400000000",
    "-108062177780117037509760000000000"
  ],
  "roots": [
    {
      "interval": [
        "18377461092337/120180847970157752197",
        "12818212737055/83825707395647978682"
      ],
      "multiplicity": 1,
      "admissible": true,
      "exceptional_ratio": false
    },
    {
      "interval": [
        "151546517211831924571/151564186876521241741",
        "119250230558544013476/119264134616696322665"
      ],
      "multiplicity": 1,
      "admissible": true,
      "exceptional_ratio": false
    },
    {
      "interval": [
        "200280567684168872516/99908725760636166083",
        "318263435233877921779/158763751461709624166"
      ],
      "multiplicity": 1,
      "admissible": true,
      "exceptional_ratio": false
    },
    {
      "interval": [
        "503555380419117130442/170036355994460303085",
        "376724461700727818669/127209155482066034692"
      ],
      "multiplicity": 1,
      "admissible": true,
      "exceptional_ratio": false
    },
    {
      "interval": [
        "667962327746238632442/161163434891972371433",
        "484419152220077735651/116878828724760482321"
      ],
      "multiplicity": 1,
      "admissible": true,
      "exceptional_ratio": false
    },
    {
      "interval": [
        "347836493507938341523/72000524443313249819",
        "1507775208720118463449/312102403849689943510"
      ],
      "multiplicity": 1,
      "admissible": true,
      "exceptional_ratio": false
    },
    {
      "interval": [
        "660955956641285403541/109135775062400018901",
        "633325855811658998662/104573546007960802121"
      ],
      "multiplicity": 1,
      "admissible": true,
      "exceptional_ratio": false
    },
    {
      "interval": [
        "3910884399581861646959/391088357573944348179",
        "386748072803439456964/38674799133351220645"
      ],
      "multiplicity": 1,
      "admissible": false,
      "exceptional_ratio": false
    }
  ],
  "scope": "All roots isolated exactly; L and M have no roots in each regular isolating interval. u=r is handled separately by the reusable geometry. Simple roots plus four interval-Hurwitz certificates and the paper degree theorem imply the other three have index -1."
}