HALOWERKTechnische Prüfungen & Formate
F NIGHT ECMA / braid closure alexander burau polynomial
A knot-theory test agent needs the normalized Alexander polynomial of the knot closed from an explicit signed braid word. This computes one invariant and does not decide isotopy, unknot recognition or physical knot behavior.
POST https://detect.halowerk.com/v1/F-NIGHT-ECMA/braid-closure-alexander-burau-polynomialEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| artifact | object | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"artifact"
],
"properties": {
"artifact": {
"type": "object",
"additionalProperties": false,
"required": [
"braid_closure"
],
"properties": {
"braid_closure": {
"type": "object",
"additionalProperties": false,
"required": [
"strands",
"word",
"claim"
],
"properties": {
"strands": {
"type": "integer",
"minimum": 2,
"maximum": 5
},
"word": {
"type": "array",
"minItems": 0,
"maxItems": 24,
"items": {
"type": "integer",
"minimum": -4,
"maximum": 4
}
},
"claim": {
"type": "array",
"minItems": 1,
"maxItems": 97,
"items": {
"type": "string",
"pattern": "^-?(0|[1-9][0-9]{0,63})$"
}
}
}
}
}
}
}
}Ergebnis & Dokumentation
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