| x | y | |
| 0 | no solutions | |
| 1 | 5, -5 ≡ 12 | (1, 5) (1, -5) ≡ (1, 12) |
| 2 | 7, -7 ≡ 10 | (2, 7) (2, -7) ≡ (2, 10) |
| 3 | no solutions | |
| 4 | no solutions | |
| 5 | 8, -8 ≡ 9 | (5, 8) (5, -8) ≡ (5, 9) |
| 6 | 6, -6 ≡ 11 | (6, 6) (6, -6) ≡ (6, 11) |
| 7 | no solutions | |
| 8 | 3, -3 ≡ 14 | (8, 3) (8, -3) ≡ (8, 14) |
| 9 | no solutions | |
| 10 | no solutions | |
| 11 | no solutions | |
| 12 | 1, -1 ≡ 16 | (12, 1) (12, -1) ≡ (12, 16) |
| 13 | no solutions | |
| 14 | no solutions | |
| 15 | 4, -4 ≡ 13 | (15, 4) (15, -4) ≡ (15, 13) |
| 16 | no solutions | |