Examples for (3_8) and their factorizations
| (Â, B̂) | (A, B) | Factorization of ℱn,A,B(x) |
|---|---|---|
| (0, 0) | (4, 24) | (x2n+1 + 36x2n−1 3 + 434x2n + 36x2n−1 + 1)Φ2n+1 (x) |
| (0, 1) | (4, 357) | (x2n + 3x2n−1 + 1)(x2n+1 + 33x2n−1 3 + 335x2n + 33x2n−1 + 1) |
| (0, 3) | (4, 591) | (x2n + 9x2n−1 + 1)(x2n+1 + 27x2n−13 + 191x2n + 27x2n−1 + 1) |
| (1, 0) | (1, 24) | (x2n + 6x2n−1 + 1)(x2n+1 + 3x2n−13 + 11x2n + 3x2n−1 + 1) |
| (1, 2) | (1, 6) | (x2n+1 + 9x2n−13 + 29x2n + 92n−1 + 1)Φ2n+1 (x) |
| (1, 3) | (1, 15) | (x2n + 3x2n−1 + 1)3 |
| (2, 0) | (2, 12) | (x2n+1 + 18x2n−13 + 110x2n + 18x2n−1 + 1)Φ2n+1 (x) |
| (2, 1) | (2, 93) | (x2n + 9x2n−1 + 1)(x2n+1 + 9x2n−13 + 29x2n + 9x2n−1 + 1) |
| (2, 3) | (2, 75) | (x2n + 3x2n−1 + 1)(x2n+1 + 15x2n−13 + 65x2n + 15x2n−1 + 1) |
| (3, 0) | (3, 252) | (x2n + 6x2n−1 + 1)(x2n+1 + 21x2n−1 3 + 119x2n + 21x2n−1 + 1) |
| (3, 1) | (3, 189) | (x2n + 3x2n−1 + 1)(x2n+1 + 24x2n−1 3 + 173x2n + 24x2n−1 + 1) |
| (3, 2) | (3, 18) | (x2n+1 + 27x2n−1 3 + 245x2n + 27x2n−1 + 1)Φ2n+1 (x) |