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daedalus

mcp-parigp

bnfinit

Initialize a number field by applying Buchmann's algorithm to a defining polynomial. Optionally compute the full algorithm for advanced number theory computations.

Instructions

Initialize a number field with Buchmann's algorithm.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
polYesDefining polynomial.
do_buchallNoCompute full Buchmann's algorithm (default 0).
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description must disclose behavioral traits but only says 'Initialize', which implies a write operation. It does not mention whether the operation is safe, reversible, or has side effects, nor does it describe any required permissions or the nature of the initialization (e.g., creating a new object).

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is a single sentence that directly states the tool's action. It is concise, front-loaded, and contains no extraneous information.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given no output schema and a moderate number of sibling tools, the description fails to explain what the tool returns (e.g., a bnf structure) or how the initialization works. Users unfamiliar with the domain may find it insufficient for correct usage.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The input schema already provides descriptions for both parameters with 100% coverage. The description adds no additional meaning beyond the schema, so it meets the baseline but does not enhance understanding.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states it initializes a number field using Buchmann's algorithm, which is specific. However, the sibling tool nfinit likely initializes a number field as well, and the description does not differentiate between them, causing ambiguity.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance is provided on when to use this tool versus alternatives like nfinit or bnrinit. There is no mention of prerequisites or context, leaving the agent uninformed about appropriate usage scenarios.

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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