nfinit
Initialize a number field from a polynomial for algebraic number theory computations.
Instructions
Initialize a number field defined by a polynomial.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| pol | Yes | Defining polynomial as a string. |
Initialize a number field from a polynomial for algebraic number theory computations.
Initialize a number field defined by a polynomial.
| Name | Required | Description | Default |
|---|---|---|---|
| pol | Yes | Defining polynomial as a string. |
Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
No annotations are provided, so the description carries the full burden. It only says 'Initialize a number field' without mentioning computational cost, side effects, or properties of the result.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.
Is the description appropriately sized, front-loaded, and free of redundancy?
The description is a single concise sentence. No fluff, but it might be considered too brief for a nontrivial tool.
Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.
Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
No output schema and no description of the return value or prerequisites. For initializing a number field, more context about the output structure is expected.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.
Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?
Only one parameter with schema coverage 100%. The description adds no extra meaning beyond the schema's 'Defining polynomial as a string', so baseline score applies.
Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.
Does the description clearly state what the tool does and how it differs from similar tools?
The description clearly states the verb 'Initialize' and the resource 'number field defined by a polynomial', which is distinct from siblings like bnfinit or bnrinit. However, it could be more specific about the kind of number field structure returned.
Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.
Does the description explain when to use this tool, when not to, or what alternatives exist?
No guidance on when to use nfinit versus related tools like bnfinit or bnrinit. The description does not provide any context for selection.
Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.
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