HALOWERKTechnische Prüfungen & Formate
F NIGHT ECMA / rational cubic splitting field galois group
A field-theory test agent needs the actual Galois permutation-group type of a supplied separable integer cubic over Q, with rational-root and discriminant witnesses, not a numerical root approximation.
POST https://detect.halowerk.com/v1/F-NIGHT-ECMA/rational-cubic-splitting-field-galois-groupEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| artifact | object | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"artifact"
],
"properties": {
"artifact": {
"type": "object",
"additionalProperties": false,
"required": [
"cubic_galois"
],
"properties": {
"cubic_galois": {
"type": "object",
"additionalProperties": false,
"required": [
"coefficients",
"claim"
],
"properties": {
"coefficients": {
"type": "array",
"minItems": 4,
"maxItems": 4,
"items": {
"type": "integer",
"minimum": -10000,
"maximum": 10000
}
},
"claim": {
"enum": [
"trivial",
"C2",
"C3",
"S3"
]
}
}
}
}
}
}
}Ergebnis & Dokumentation
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