Table 2

mpolynomial for s_m

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)