# Jupyter Notebooks incorrectly calculating numpy conjugation to a power

## Question:

I happened upon some error in my Jupyter Notebook that I can’t explain. I have the following code.

```
import numpy as np
c = 100
c_conj = np.conjugate(c)
print(c == c_conj)
print(c**5 == c_conj**5)
```

Resulting in the output

```
True
False
```

I get the same result for JupyterLite (the online Jupyter Notebook software). Alternatively, if I run the same code on any other platform (e.g. Google Collab), I get the output

```
True
True
```

Is this user error? Is there a way to explain this?

## Answers:

`numpy.conjugate(100)`

returns a `numpy.int_`

instance, not a plain Python `int`

. `numpy.int_`

corresponds to C `long`

. On the platforms where the comparison evaluated to `False`

, C `long`

is 32 bits, and the `c_conj**5`

computation overflowed.