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F B NIGHT FINITE STRUCTURES / finite field frobenius minimal trace norm

A finitefieldconformance agent needs coupledminimalpolynomial/orbitdegree/trace/norm forasuppliedelement,includingproper-subfieldelements withambienttrace differentfromminimal-polynomialtrace. Existingpolynomialirreducibility cannotproduce theseelementinvariants.

POST https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/finite-field-frobenius-minimal-trace-norm

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
artifactobjectJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "required": [
    "artifact"
  ],
  "properties": {
    "artifact": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "frobenius"
      ],
      "properties": {
        "frobenius": {
          "type": "object",
          "additionalProperties": false,
          "required": [
            "prime",
            "modulus",
            "element",
            "claim"
          ],
          "properties": {
            "prime": {
              "enum": [
                2,
                3,
                5,
                7
              ]
            },
            "modulus": {
              "type": "array",
              "items": {
                "type": "integer",
                "minimum": 0,
                "maximum": 6
              },
              "maxItems": 5,
              "minItems": 2
            },
            "element": {
              "type": "array",
              "items": {
                "type": "integer",
                "minimum": 0,
                "maximum": 6
              },
              "maxItems": 4,
              "minItems": 1
            },
            "claim": {
              "type": "object",
              "additionalProperties": false,
              "required": [
                "orbit_degree",
                "frobenius_orbit",
                "minimal_polynomial",
                "trace",
                "norm"
              ],
              "properties": {
                "orbit_degree": {
                  "type": "integer",
                  "minimum": 1,
                  "maximum": 4
                },
                "frobenius_orbit": {
                  "type": "array",
                  "items": {
                    "type": "array",
                    "items": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 6
                    },
                    "maxItems": 4,
                    "minItems": 1
                  },
                  "maxItems": 4,
                  "minItems": 1
                },
                "minimal_polynomial": {
                  "type": "array",
                  "items": {
                    "type": "integer",
                    "minimum": 0,
                    "maximum": 6
                  },
                  "maxItems": 5,
                  "minItems": 2
                },
                "trace": {
                  "type": "integer",
                  "minimum": 0,
                  "maximum": 6
                },
                "norm": {
                  "type": "integer",
                  "minimum": 0,
                  "maximum": 6
                }
              }
            }
          }
        }
      }
    }
  }
}

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