
Connect Field Extension Degree Calculator 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. Solve complex algebraic field theory problems through your AI agent.
Developed, maintained, and hosted by Vinkius.
MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED
Waiting for input…
Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.
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.

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.
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.
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.
01-04
4 capabilities in this set.
Part of 4 available through Field Extension Degree Calculator.
- 01
Analyze minimal polynomial validity
This capability checks if a given polynomial is a valid candidate for a minimal polynomial of a specific degree.
- 02
Calculate simple extension degree
Use this to find the degree of an extension created by adjoining a single root of a polynomial.
- 03
Calculate tower degree
This capability computes the total degree of a composite extension formed by multiple nested steps.
- 04
Validate extension structure
This capability verifies the structural integrity of a field hierarchy using provided polynomials and tower data.
Real work
What teams actually run
Tower Dimension Analysis
Calculate the total degree of a composite extension after multiple nested steps.
Minimal Polynomial Verification
Check if a specific polynomial is a valid minimal polynomial for a given degree.
Field Hierarchy Validation
Ensure a set of polynomials correctly forms a specific extension structure.
Simple Extension Computation
Quickly find the degree of an extension formed by a single root.
One connector, every AI
Field Extension Degree Calculator 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.
Claude
ChatGPT
Gemini
Perplexity
Grok
Microsoft Copilot
Cursor
VS Code
Windsurf
JetBrains
Cline
LangChain
Vercel AI SDK
Lovable
Z.ai
Raycast
Qwen Code
Kimi Code
Le ChatBuilding your own app? The connector is yours to use.
You don't need a client to put Field Extension Degree Calculator 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
983ms average. Fast in production.
Field Extension Degree Calculator is checked daily against the live service.
- Fastest day
- 983ms
- Slowest day
- 983ms
- 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 Degree Calculator, so you can see the experience inside your AI.
It does not authenticate your account with Field Extension Degree Calculator. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.
Field Extension Degree Calculator Connector
You're all set. Choose your MCP client and follow the setup instructions.
https://edge.vinkius.com/vk_preview_3aNbvGaPN03lY6IZbUKBkJmgYf3sk5F1Si1xyfHa/mcpClaude Desktop
Follow the steps below to connect in seconds.
- 1In Claude Desktop, open Settings → Connectors.
- 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
- 3Click Add and start a new chat — Field Extension Degree Calculator capabilities are ready to use.
{
"mcpServers": {
"field-extension-degree-calculator-mcp": {
"url": "https://edge.vinkius.com/vk_preview_3aNbvGaPN03lY6IZbUKBkJmgYf3sk5F1Si1xyfHa/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 Degree Calculator in Claude and other AIs
Who it's for
Built for the work Field Extension Degree Calculator owners hand off.
This MCP is built for mathematicians and researchers working with abstract algebra.
- 01
Algebraic Researchers
Hand off complex tower degree calculations to the agent.
- 02
Mathematics Students
Use the capability to verify homework solutions regarding field extensions.
- 03
Computational Mathematicians
Integrate polynomial validation into automated algebraic workflows.
FAQ
Questions Field Extension Degree Calculator owners ask.
- 01
What can this MCP calculate?
It calculates simple extension degrees, total degrees for nested towers, and validates minimal polynomials and field structures.
- 02
Which AI clients can use this MCP?
You can use this with any MCP-compatible client like Claude, Cursor, Windsurf, or VS Code.
- 03
Do I need to host the MCP myself?
No, Vinkius hosts and manages the MCP for you, so it is ready to use once connected.
- 04
Can it handle nested field extensions?
Yes, the calculate_tower_degree capability is specifically designed for composite extensions with multiple nested steps.
- 05
How does it validate polynomials?
The analyze_minimal_polynomial_validity capability checks if a polynomial is a valid candidate for a specific degree.
Explore
More in Science
Algebraic Number Minimal Polynomial AI Connector
Calculate minimal polynomials, verify roots, and analyze algebraic field extensions.
ViewField Extension Basis Converter AI Connector
Converts algebraic elements between different bases of a finite field extension.
ViewPolynomial over Finite Field Factorizer AI Connector
Decomposes polynomials into irreducible components over specified finite fields.
ViewPolynomial Syzygy Calculator AI Connector
Find relations among polynomial generators using algebraic modules or elimination methods.
View
Suggestions
Polynomial Discriminant Calculator AI Connector
Compute exact discriminants and analyze polynomial root properties.
ViewPolynomial Resultant Calculator AI Connector
Compute the resultant of univariate polynomials using Sylvester matrices or subresultant sequences.
ViewGalois Conjugate Enumerator AI Connector
Find Galois conjugates, minimal polynomials, and field embeddings for algebraic numbers.
ViewCrystal Field Theory Calculator AI Connector
Calculate electronic configurations, CFSE, magnetic moments, and color predictions for transition metal comple
View
Connect Field Extension Degree Calculator to Claude, Cursor, ChatGPT & more
