What can this MCP do with polynomial coefficients?

It uses the valuations of those coefficients to construct Newton polygons and analyze the resulting geometric hulls.

How does the capability determine root valuations?

It analyzes the slopes of the edges of the constructed Newton polygon to find the valuations.

Can I use this to check if my math is correct?

Yes, the validate_valuation_sequence capability checks if your sequence of valuations is valid for a specific polynomial degree.

Which AI clients can use this MCP?

You can use this with any MCP-compatible client like Claude, Cursor, or Windsurf.

Does this MCP handle the visualization?

It provides structured data for points and edges through the visualize_polygon_data capability, which you can then use for plotting.

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Connect Newton Polygon Analyzer to ChatGPT and Claude

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. Perform precise p-adic geometric analysis through your AI client.

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Developed, maintained, and hosted by Vinkius.

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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.

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.

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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 Newton Polygon Analyzer.

01
Analyze newton polygon
This capability performs the core geometric construction and analysis of the Newton polygon. It calculates the necessary hull properties from your provided valuations.
02
Get multiplicity bounds
Use this to find the theoretical bounds on the number of roots with specific valuation characteristics. It identifies how roots are distributed based on the hull.
03
Validate valuation sequence
This capability checks if a sequence of valuations is mathematically valid for a polynomial of a specific degree. It prevents errors in your mathematical modeling.
04
Visualize polygon data
This capability generates a structured representation of points and edges. You can use this data for plotting or graphical rendering in other applications.

Real work

What teams actually run

Root Distribution Analysis

Use the capability to find how many roots share specific valuation characteristics in a given polynomial.

Polynomial Validation

Verify that a set of valuations is mathematically sound for your specific polynomial degree.

Geometric Modeling

Convert coefficient data into geometric hulls to study the properties of p-adic roots.

Data Preparation

Generate structured point and edge data to feed into graphing or plotting capabilities.

One connector, every AI

Newton Polygon Analyzer 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.

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

You don't need a client to put Newton Polygon Analyzer 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.

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 Newton Polygon Analyzer, so you can see the experience inside your AI.

It does not authenticate your account with Newton Polygon Analyzer. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Newton Polygon Analyzer Connector

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

Connector linkhttps://edge.vinkius.com/vk_preview_IttI5KVg4xI3aSPynTiIdIiTIWpBWk28vtm5JoGW/mcp

Claude 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 — Newton Polygon Analyzer capabilities are ready to use.

Configuration · claude_desktop_config.jsonCopy

{
  "mcpServers": {
    "newton-polygon-analyzer-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_IttI5KVg4xI3aSPynTiIdIiTIWpBWk28vtm5JoGW/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 Newton Polygon Analyzer in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Newton Polygon Analyzer owners hand off.

This MCP is built for researchers and mathematicians working with p-adic numbers and polynomial theory.

01
Number Theorists
They hand off coefficient valuations to the AI to automate Newton polygon construction.
02
Algebraic Geometers
They use the capability to analyze the geometric properties of polynomial hulls.
03
Computational Mathematicians
They rely on the capability to validate sequences and calculate root distributions.

FAQ

Questions Newton Polygon Analyzer owners ask.

01
What can this MCP do with polynomial coefficients?
It uses the valuations of those coefficients to construct Newton polygons and analyze the resulting geometric hulls.
02
How does the capability determine root valuations?
It analyzes the slopes of the edges of the constructed Newton polygon to find the valuations.
03
Can I use this to check if my math is correct?
Yes, the validate_valuation_sequence capability checks if your sequence of valuations is valid for a specific polynomial degree.
04
Which AI clients can use this MCP?
You can use this with any MCP-compatible client like Claude, Cursor, or Windsurf.
05
Does this MCP handle the visualization?
It provides structured data for points and edges through the visualize_polygon_data capability, which you can then use for plotting.

Explore

More in Science

Connect Newton Polygon Analyzer to Claude, Cursor, ChatGPT & more

Connect Newton Polygon Analyzer to ChatGPT and Claude

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