{
  "3": "27*x^2 - 1",
  "4": "2*x - 1",
  "5": "3125*x^4 - 2500*x^2 + 16",
  "6": "27*x^2 - 49",
  "7": "823543*x^6 - 3176523*x^4 + 1164485*x^2 - 32761",
  "8": "x^2 - 2*x - 1",
  "9": "19683*x^6 - 218700*x^4 + 374544*x^2 - 87616",
  "10": "3125*x^4 - 42500*x^2 + 13456",
  "11": "285311670611*x^10 - 7599665408093*x^8 + 48232034378286*x^6 - 106414058828682*x^4 + 93915840934223*x^2 - 28659972957001",
  "12": "108*x^2 - 540*x - 1",
  "13": "302875106592253*x^12 - 14444812775938220*x^10 + 165293434594885792*x^8 - 579153410913987520*x^6 + 695692861421429248*x^4 - 177281660133706752*x^2 + 12580281941364736",
  "14": "823543*x^6 - 40824203*x^4 + 276530373*x^2 - 404693689",
  "15": "5189853515625*x^8 - 406730742187500*x^6 + 7908285671943750*x^4 - 45384694066687500*x^2 + 79626855512571481",
  "16": "16*x^4 - 96*x^3 - 296*x^2 + 296*x - 47",
  "17": "827240261886336764177*x^16 - 112893965151547134875920*x^14 + 4727753024813233540684960*x^12 - 82906338493360365685937152*x^10 + 688820367557600736961522944*x^8 - 2840249531564954452734660608*x^6 + 5577462430871443287173300224*x^4 - 4234358114360178940687941632*x^2 + 382919844623106684133310464",
  "18": "19683*x^6 - 1898316*x^4 + 5724432*x^2 - 179776",
  "19": "1978419655660313589123979*x^18 - 406617302913343398185744105*x^16 + 27157699406399763382172790060*x^14 - 805542025345850376880968801460*x^12 + 11977774068343796505987136232394*x^10 - 90259024781795510013611794800478*x^8 + 308443463850461353292021497574652*x^6 - 313016379686162738702240753158852*x^4 + 31756876359976677116373457025923*x^2 - 193538908274315778499902389569",
  "20": "50000*x^4 - 100000*x^3 - 4045000*x^2 - 13537000*x - 11569339",
  "21": "262757514534242203161*x^12 - 63946003378396848553404*x^10 + 4259970080104169448019296*x^8 - 91907009021019301722760896*x^6 + 754671721321671090278229504*x^4 - 2034242659804420006291897344*x^2 + 1222627712506387757528387584",
  "22": "285311670611*x^10 - 61964507371789*x^8 + 2293135425894126*x^6 - 17331479384828202*x^4 + 11651869370649871*x^2 - 1503524432944249",
  "23": "20880467999847912034355032910567*x^22 - 8776151484979555027656961006367443*x^20 + 1319096354523530201569325802842763169*x^18 - 96564602008518002905797766511937220445*x^16 + 3896575240489515084067357143510419198406*x^14 - 91351511153257473288004409660027084560030*x^12 + 1249612183179005546708501265830900364640482*x^10 - 9484370490801744714527957665531633229780666*x^8 + 34265552998300853090143591528221619246068451*x^6 - 36083575786735815088879163570137482514515487*x^4 + 8830531480223805954319562728625138088950765*x^2 - 87478235052736252886191075041118786391641",
  "24": "729*x^4 - 14580*x^3 + 51948*x^2 + 61776*x - 264392"
}