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Connect Field Extension Basis Converter to your AI

Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Handle complex algebraic basis transformations through your AI client.

Ask AI about this Connector

Developed, maintained, and hosted by Vinkius.

MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

ChatGPTClaudeCursorPerplexityGeminiMicrosoft CopilotRaycastMeta AI

Your AI does the work. We keep it safe and sound.

No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.

Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

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V8 Isolate01

Each Connector runs inside its own sealed environment.

Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.

Kill Switch02

One switch stops every agent. Instantly.

One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.

FinOps per User03

Spending limits that pause instead of surprise.

Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.

Three controls, built into the layer your AI connects through.

Curated set · 4 capabilities

We ship only the actions that matter.

Capability set01 / 01

01-04

4 capabilities in this set.

Part of 4 available through Field Extension Basis Converter.

  1. 01

    Verify basis

    This capability checks if a given set of elements satisfies the requirements of a valid basis for the extension.

  2. 02

    Convert coordinates

    Use this to shift coordinate representations from one source basis to a different target basis.

  3. 03

    Get transition matrix

    This capability calculates the specific transition matrix that links two different bases.

  4. 04

    Reconstruct element

    This capability takes coordinate vectors and turns them back into their symbolic algebraic forms.

Real work

What teams actually run

01

Basis Switching

You need to move an element's representation from a standard basis to a custom basis for a specific proof.

02

Linear Independence Testing

You want to confirm if a proposed set of elements can actually serve as a basis for an extension.

03

Symbolic Recovery

You have a vector of coordinates and need to know the actual algebraic expression it represents.

04

Matrix Derivation

You need the transition matrix to understand the relationship between two different bases.

One connector, every AI

Field Extension Basis Converter works with the most popular AI clients.

These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.

ClaudeClaudeChatGPTChatGPTGeminiGeminiPerplexityPerplexityGrokGrokMicrosoft CopilotMicrosoft CopilotCursorCursorVS CodeVS CodeWindsurfWindsurfJetBrainsJetBrainsClineClineLangChainLangChainVercel AI SDKVercel AI SDKLovableLovableZ.aiZ.aiRaycastRaycastQwen CodeQwen CodeKimi CodeKimi CodeLe ChatLe Chat

Building your own app? The connector is yours to use.

You don't need a client to put Field Extension Basis Converter to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.

Observed, not estimated

969ms average. Fast in production.

Field Extension Basis Converter is checked daily against the live service.

Daily averagePeak 969ms
Oct 16Today
Fastest day
969ms
Slowest day
969ms
14-day trend
Stable0%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 4 capabilities arrive ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Field Extension Basis Converter, so you can see the experience inside your AI.

It does not authenticate your account with Field Extension Basis Converter. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Field Extension Basis Converter Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_u6idDAGk2y0izVgDlLn4Q7LDGYqSGEoIuTL6APku/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Field Extension Basis Converter capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "field-extension-basis-converter-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_u6idDAGk2y0izVgDlLn4Q7LDGYqSGEoIuTL6APku/mcp"
    }
  }
}
  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Step-by-step instructions for each client are in the guide. How to connect

Guided setup for Claude? Set up Field Extension Basis Converter in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Field Extension Basis Converter owners hand off.

This MCP is designed for researchers and students working in abstract algebra and field theory.

  • 01

    Algebraic Researchers

    They hand off coordinate transformations and basis checks to the AI to focus on higher level proofs.

  • 02

    Mathematics Students

    They use the capability to verify their manual calculations for field extension problems.

  • 03

    Computational Mathematicians

    They use the MCP to quickly bridge the gap between coordinate vectors and symbolic forms.

FAQ

Questions Field Extension Basis Converter owners ask.

  • 01

    What can this MCP do with finite field extensions?

    It handles basis verification, coordinate conversion, transition matrix calculation, and symbolic element reconstruction.

  • 02

    Which AI clients can use this MCP?

    Any MCP-compatible client like Claude, Cursor, Windsurf, or VS Code can use these capabilities once connected via Vinkius.

  • 03

    Do I need to host the math engine myself?

    No, Vinkius hosts the MCP and manages everything so it is ready to use immediately.

  • 04

    Can I use this to check if my basis is valid?

    Yes, the verify_basis capability is specifically designed to check linear independence and spanning properties.

  • 05

    How do I get a symbolic form from a vector?

    You use the reconstruct_element capability to turn coordinates into their algebraic representation.

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