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

Print the proper fractions for a denominator and see their repeating digit patterns together. This is the most direct way to look at a fractional field.

Examples

Click a command to run it in the terminal above.

field 7

See the six proper fractions with denominator seven.

field 12

See terminating and repeating rows in one field.

field 7 --base 3

Compare the same field in base three.

field 13 --time

Print a larger field and report the calculation time.

Usage

Replace <values> with your inputs. Items in [brackets] are optional. Omit the brackets when you run a command.

nfield field <n> [--base <b>]

Options

--base <b>
Digit base. The default is 10; the web terminal accepts bases 2 through 36.
--time
Print the command runtime after the result.
--help
Print the command-line help.
Full command help and scope
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 licensing.