Problem packetResearch packetR311
Exact determinant range verified through n=120
Link to a section
The recorded result has been reproduced within its stated scope.
Recorded status: reproduced
Recorded scope: every size from 1 to 120
Complete recorded scope and conditions
{
"kind": "bounded",
"statement": "every size from 1 to 120",
"bounds": {
"n": {
"min": 1,
"max": 120
}
},
"exhaustive": true
}Originating problem: Determinants of the Fibonacci-sum matrix
Recorded relationships: Fibonacci-sum indicator determinant conjecture
Authored record and scope
- Authored title
- Exact determinant range verified through n=120
- Record type
- claim
- Stored status
- reproduced
- Evidence grade
- reproduced
- Recorded scope data
- { "kind": "bounded", "statement": "every size from 1 to 120", "bounds": { "n": { "min": 1, "max": 120 } }, "exhaustive": true }
- Linked research record IDs
- fib-problem-determinant-range
2Authored explanation
The repository reproduction uses fraction-free Bareiss elimination.
Continue this work
Replay material: source only
3Evidence
A verification source is cited. This record has no executable replay attached.
Verification source: mathoverflow.net ↗, question line 64 and research/fibonacci/checks.py
4How it connects
Supports
- problem
Evidenced by
- artifact
Replaces
- claim
Cite this record
Cite the original sources separately.
Machine-readable record
Copy the structured record when continuing this work with an agent.
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"relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-verified-120-scoped (“Exact determinant range verified through n=120”) records a bound, answer, status fact, or structural consequence. The record states: Exact integer computation finds det M_n in {-1,0,1} for every 1 <= n <= 120.",
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"url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
"locator": "question line 64 and research/fibonacci/checks.py"
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"locator": "question line 64 and research/fibonacci/checks.py"
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}6Provenance
View source, identifiers, and projection details
A statement this project treats as settled at the recorded evidence grade, with the work that backs it.