The inv command finds the inverse of an
integer in ℤ/pℤ.
inverse is a synonym for inv.
Since ℤ/pℤ is only a field if p is prime, the inverse is only guaranteed to exist if p is prime (and the integer is non-zero).
Example.
Input:
Output:
⎛ ⎝ | −4 | ⎞ ⎠ | %13 |
Indeed 3×−4=−12=1 (mod 13).
You can also find the reciprocal using division:
Input:
Output:
⎛ ⎝ | −4 | ⎞ ⎠ | %13 |