Take elliptic curve E: y2 ≡ x3 + 30x + 2 over ℤ31
Reciprocal value table, if needed
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| x-1 mod 31 | 1 | 16 | 21 | 8 | 25 | 26 | 9 | 4 | 7 | 28 |
| x | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|
| x-1 mod 31 | 17 | 13 | 12 | 20 | 29 | 2 | 11 | 19 | 18 | 14 |
| x | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
|---|---|---|---|---|---|---|---|---|---|
| x-1 mod 31 | 3 | 24 | 27 | 22 | 5 | 6 | 23 | 10 | 15 |