A finitefieldconformance agent needs coupledminimalpolynomial/orbitdegree/trace/...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/finite-field-frobenius-minimal-trace-normOverview
A finitefieldconformance agent needs coupledminimalpolynomial/orbitdegree/trace/norm forasuppliedelement,includingproper-subfieldelements withambienttrace differentfromminimal-polynomialtrace. Existingpolynomialirreducibility cannotproduce theseelementinvariants.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 17:26:22
Health
Status
unknown
Latency (p50)
—
Uptime (30d)
—
Reliability Score
—
Last Checked
Never
Last Healthy
Never
Consecutive Failures
0
x402 Payment Validation
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Facilitator
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Input Schema
{
"body": {
"artifact": {
"frobenius": {
"claim": {
"frobenius_orbit": [
[
1,
0
]
],
"minimal_polynomial": [
1,
1
],
"norm": 1,
"orbit_degree": 1,
"trace": 1
},
"element": [
1,
0
],
"modulus": [
1,
1,
1
],
"prime": 2
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "finite-field-frobenius-minimal-trace-norm_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Prime2/3/5/7,completecanonicalirreduciblemonicmodulusdegree1–4,completeelementbasisvector. Nativeowntrial-factorpremisecheck andquotientarithmetic. Reduciblemodulusreturnsunknown. Coefficientsascendingresidues0..p−1.",
"Trace/norm descendfromfullambientfieldtotheprimefield,notmerelytheelementminimalfield. Proper-subfieldelements supported. OnecoupledFrobeniusdescentoperation,notseparateofferspermodulus/degree/invariant orapolynomialirreducibilitywrapper."
],
"module": "finite-field-frobenius-minimal-trace-norm",
"state": "observed",
"value": {
"claim_matches": false,
"frobenius_orbit": [
[
1,
0
]
],
"minimal_polynomial": [
1,
1
],
"norm": 1,
"orbit_degree": 1,
"trace": 0
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}