nfield / live terminal

Follow the numbers.

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A small experiment

Start with seven.

Print its fractional field, inspect a collision, or follow the golden threshold. Each command runs the public nfield program.

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Command reference

field

nfield field exploration

Commands
  nfield <n> [--base <b>]             Analyze one denominator
  nfield analyze <n> [--base <b>]     Same operation, explicit name
  nfield field <n> [--base <b>]       Show every fraction in the field
  nfield div <n> [--base <b>]         Show the long-division table
  nfield align <n> [--base <b>]       Compute synchronized alignment
  nfield decompose <n> [--base <b>]   Show alpha, sigma, and F
  nfield polar <n> [--base <b>]       Show the polar decomposition
  nfield survey <max> [--base <b>] [--csv]
  nfield range <min> <max> [--base <b>] [--csv]
  nfield table [base] [--pairs]       Show the collision table
  nfield spectral <p> [--base <b>]    Show additive spectral power
  nfield equations                    Define the principal invariants

Common options
  --base <b>   Choose the digit base; default 10
  --csv        Emit machine-readable rows where supported
  --time       Report command runtime in ns, us, ms, or s

For parameterized structure tools, run `nfield help commands`.

Web workspace: inputs up to 10,000 · bases 2–36 · 15 seconds per calculation · 256 KB output. Run locally for larger calculations. Software & proof licensing.