Generate Complex Numbers

A complex number is one with a real part and an imaginary part: a + bi, where i is the new number whose square is -1. Stacking "real" along a horizontal axis and "imaginary" along a vertical one pictures each complex number as a point in a plane - the gateway to rotations, oscillations, waves and the beautiful structure of the Mandelbrot set.

Generate Complex Numbers lists values a + bi from the ranges you choose for each part. Each entry shows its magnitude and phase alongside, so the Cartesian and polar views arrive together. Up to 1000 at once, copy or download.

• Real + imaginary: Every value rendered exactly as a + bi.
• Independent ranges: Set real and imaginary parts separately.
• Pure reals optional: Decide whether b = 0 is allowed.
• Magnitude shown: The distance from the origin, always.
• Phase shown: The angle from the positive real axis.
• Up to 1000 values: A full complex stream in one run.

1. Set the real range - any integers or values you like.
2. Set the imaginary range - including or excluding zero.
3. Choose the count - up to 1000.
4. Generate - values appear as a + bi with magnitude and phase.
5. Copy or download - the list.

1. Real 1-5, imag 1-5: a spread of points like 3 + 4i in the first quadrant.

2. Real -5 to 5, imag 1-3: an upper half-plane strip, all with positive imaginary part.

3. Real 1-9, imag 0-0, pure reals allowed: 7 + 0i, 3 + 0i - the reals as a slice of the plane.

4. Real 0-0, imag 1-9: pure imaginary numbers 0 + 5i, riding the vertical axis.

5. Real -10 to 10, imag -10 to 10, 30 values: a scatter across the full complex plane.

• Both coordinates: a + bi exact, plus magnitude and phase on every row.
• Shape your set: Independent ranges frame any region of the plane.
• Reals and i-onlies: Optional pure-real and pure-imaginary streams.
• Bulk output: Hundreds of complex values at once.
• Copy or download: The list exports one per line.
• Private and free: All generation stays in the browser; nothing is uploaded or logged.