Table 2

mpolynomial for sm

3(x + 1)

4(x + 2)

5(x2 + 3x + 1)

6(x + 1)(x + 3)

7(x3 + 5x2 + 6x + 1)

8(x + 2)(x2 + 4x + 2)

9(x + 1)(x3 + 6x2 + 9x + 1)

10(x2 + 3x + 1)(x2 + 5x + 5)

11(x5 + 9x4 + 28x3 + 35x2 + 15x + 1)

12(x + 1)(x + 2)(x + 3)(x2 + 4x + 1)

13(x6 + 11x5 + 45x4 + 84x3 + 70x2 + 21x + 1)

14(x3 + 5x2 + 6x + 1)(x3 + 7x2 + 14x + 7)

15(x + 1)(x2 + 3x + 1)(x4 + 9x3 + 26x2 + 24x + 1)

16(x + 2)(x2 + 4x + 2)(x4 + 8x3 + 20x2 + 16x + 2)

17(x8 + 15x7 + 91x6 + 286x5 + 495x4 + 462x3 + 210x2 + 36x + 1)

18(x + 1)(x + 3)(x3 + 6x2 + 9x + 1)(x3 + 6x2 + 9x + 3)

19(x9 + 17x8 + 120x7 + 455x6 + 1001x5 + 1287x4 + 924x3 + 330x2 + 45x + 1)

20(x + 2)(x2 + 3x + 1)(x2 + 5x + 5)(x4 + 8x3 + 19x2 + 12x + 1)

21(x + 1)(x3 + 5x2 + 6x + 1)(x6 + 13x5 + 64x4 + 146x3 + 148x2 + 48x + 1)

22(x5 + 9x4 + 28x3 + 35x2 + 15x + 1)(x5 + 11x4 + 44x3 + 77x2 + 55x + 11)

23(x11 + 21x10 + 190x9 + 969x8 + 3060x7 + 6188x6 + 8008x5 + 6435x4 + 3003x3 + 715x2 + 66x + 1)

24(x + 1)(x + 2)(x + 3)(x2 + 4x + 1)(x2 + 4x + 2)(x4 + 8x3 + 20x2 + 16x + 1)