// Description of sigma(W) and f_W for the Coxeter group: Coxeter group: Finitely presented group on 4 generators Relations s * t * s = t * s * t s * u = u * s s * v = v * s t * u * t = u * t * u t * v = v * t (u * v)^2 = (v * u)^2 s^2 = Id($) t^2 = Id($) u^2 = Id($) v^2 = Id($) // W has order 384. // 221 elements of W do not lie in \sigma(W). // They are: c := [ v * u * v, u * v * u, v * u * t * v, u * v * u * t, v * u * t * v * u, u * t * v * u * t, t * v * u * v, u * t * v * u * v, v * u * t * v * u * v, (u * t * v)^2, u * v * u * t * v * u * v, t * u * v * u, t * u * t * v * u, (t * v * u)^2, t * v * u * t * v * u * v, u * t * v * u * t * v * u, u * t * v * u * t * v * u * v, t * u * v * u * t, t * u * t * v * u * t, t * u * v * u * t * v * u * v, t * u * t * v * u * t * v * u, s * v * u * v, s * u * v * u, v * u * t * s * v, u * v * u * t * s, v * u * t * s * v * u, u * t * v * u * t * s, t * s * v * u * v, u * t * s * v * u * v, v * u * t * s * v * u * v, u * t * v * u * t * s * v, u * v * u * t * s * v * u * v, t * s * u * v * u, t * u * t * s * v * u, t * v * u * t * s * v * u, t * v * u * t * s * v * u * v, u * t * v * u * t * s * v * u, u * t * v * u * t * s * v * u * v, t * u * v * u * t * s, t * u * t * v * u * t * s, t * u * v * u * t * s * v * u * v, t * u * t * v * u * t * s * v * u, s * v * u * t * v, s * u * v * u * t, s * v * u * t * s * v, s * u * v * u * t * s, v * u * t * s * v * u * t, u * t * s * v * u * t * s, t * s * v * u * t * v, u * t * s * v * u * t * v, v * u * t * s * v * u * t * v, (u * t * s * v)^2, u * v * u * t * s * v * u * t * v, t * s * u * v * u * t, t * u * t * s * v * u * t, t * v * u * t * s * v * u * t, t * v * u * t * s * v * u * t * v, u * t * v * u * t * s * v * u * t, u * t * v * u * t * s * v * u * t * v, t * s * u * v * u * t * s, t * u * t * s * v * u * t * s, t * u * v * u * t * s * v * u * t * v, t * u * t * v * u * t * s * v * u * t, s * v * u * t * v * u, s * u * t * v * u * t, s * v * u * t * s * v * u, s * u * t * v * u * t * s, (s * v * u * t)^2, s * u * t * s * v * u * t * s, t * s * v * u * t * v * u, u * t * s * v * u * t * v * u, v * u * t * s * v * u * t * v * u, u * t * s * v * u * t * s * v * u, u * v * u * t * s * v * u * t * v * u, t * s * u * t * v * u * t, t * s * u * t * s * v * u * t, t * s * v * u * t * s * v * u * t, t * v * u * t * s * v * u * t * v * u, u * t * s * v * u * t * s * v * u * t, u * t * v * u * t * s * v * u * t * v * u, t * s * u * t * v * u * t * s, t * s * u * t * s * v * u * t * s, t * u * v * u * t * s * v * u * t * v * u, t * u * t * s * v * u * t * s * v * u * t, s * t * v * u * v, s * u * t * v * u * v, s * v * u * t * v * u * v, s * u * t * v * u * t * v, s * u * v * u * t * v * u * v, s * t * s * v * u * v, s * u * t * s * v * u * v, s * v * u * t * s * v * u * v, s * u * t * v * u * t * s * v, s * u * v * u * t * s * v * u * v, s * v * u * t * s * v * u * t * v, s * u * t * s * v * u * t * s * v, t * s * u * t * v * u * v, t * s * v * u * t * v * u * v, t * s * u * t * s * v * u * v, t * s * v * u * t * s * v * u * v, u * t * s * v * u * t * v * u * v, v * u * t * s * v * u * t * v * u * v, u * t * s * v * u * t * s * v * u * v, u * v * u * t * s * v * u * t * v * u * v, t * s * u * t * v * u * t * v, t * s * u * v * u * t * v * u * v, t * s * u * t * s * v * u * t * v, t * s * v * u * t * s * v * u * t * v, t * u * t * s * v * u * t * v * u * v, t * v * u * t * s * v * u * t * v * u * v, u * t * s * v * u * t * s * v * u * t * v, u * t * v * u * t * s * v * u * t * v * u * v, t * s * u * t * v * u * t * s * v, t * s * u * v * u * t * s * v * u * v, t * s * u * t * s * v * u * t * s * v, t * u * t * s * v * u * t * s * v * u * v, t * u * v * u * t * s * v * u * t * v * u * v, t * u * t * s * v * u * t * s * v * u * t * v, t * u * t * v * u * t * s * v * u * t * v * u * v, s * t * u * v * u, s * t * u * t * v * u, s * t * v * u * t * v * u, s * t * v * u * t * v * u * v, s * u * t * v * u * t * v * u, s * u * t * v * u * t * v * u * v, s * t * s * u * v * u, s * t * u * t * s * v * u, s * t * v * u * t * s * v * u, s * t * v * u * t * s * v * u * v, s * u * t * v * u * t * s * v * u, s * u * t * v * u * t * s * v * u * v, s * t * s * u * t * v * u, s * t * s * v * u * t * v * u, s * t * s * u * t * s * v * u, s * t * s * v * u * t * s * v * u, s * u * t * s * v * u * t * v * u, s * v * u * t * s * v * u * t * v * u, s * u * t * s * v * u * t * s * v * u, s * u * v * u * t * s * v * u * t * v * u, s * t * s * v * u * t * v * u * v, s * u * t * s * v * u * t * v * u * v, s * v * u * t * s * v * u * t * v * u * v, s * u * t * s * v * u * t * s * v * u * v, s * u * v * u * t * s * v * u * t * v * u * v, t * s * u * t * v * u * t * v * u, t * s * u * t * v * u * t * v * u * v, t * s * u * t * s * v * u * t * v * u, t * s * v * u * t * s * v * u * t * v * u, t * s * u * t * s * v * u * t * v * u * v, t * s * v * u * t * s * v * u * t * v * u * v, u * t * s * v * u * t * s * v * u * t * v * u, u * t * s * v * u * t * s * v * u * t * v * u * v, t * s * u * t * v * u * t * s * v * u, t * s * u * t * v * u * t * s * v * u * v, t * s * u * t * s * v * u * t * s * v * u, t * s * u * v * u * t * s * v * u * t * v * u, t * s * u * v * u * t * s * v * u * t * v * u * v, t * u * t * s * v * u * t * s * v * u * t * v * u, t * u * t * s * v * u * t * s * v * u * t * v * u * v, s * t * u * v * u * t, s * t * u * t * v * u * t, s * t * u * v * u * t * v * u * v, s * t * u * t * v * u * t * v * u, s * t * s * u * v * u * t, s * t * u * t * s * v * u * t, s * t * v * u * t * s * v * u * t, s * t * v * u * t * s * v * u * t * v, s * u * t * v * u * t * s * v * u * t, s * u * t * v * u * t * s * v * u * t * v, s * t * s * u * t * v * u * t, s * t * s * u * t * s * v * u * t, s * t * s * v * u * t * s * v * u * t, s * t * v * u * t * s * v * u * t * v * u, s * u * t * s * v * u * t * s * v * u * t, s * t * s * u * v * u * t * v * u * v, s * t * u * t * s * v * u * t * v * u * v, s * t * v * u * t * s * v * u * t * v * u * v, s * u * t * s * v * u * t * s * v * u * t * v, s * u * t * v * u * t * s * v * u * t * v * u * v, s * t * s * u * t * v * u * t * v * u, s * t * s * u * t * s * v * u * t * v * u, s * t * s * v * u * t * s * v * u * t * v * u, s * t * s * v * u * t * s * v * u * t * v * u * v, s * u * t * s * v * u * t * s * v * u * t * v * u, s * u * t * s * v * u * t * s * v * u * t * v * u * v, t * s * u * t * v * u * t * s * v * u * t, t * s * u * t * v * u * t * s * v * u * t * v, t * s * u * t * s * v * u * t * s * v * u * t, t * s * u * t * v * u * t * s * v * u * t * v * u * v, t * s * u * t * s * v * u * t * s * v * u * t * v * u, t * s * u * t * s * v * u * t * s * v * u * t * v * u * v, s * t * u * v * u * t * s, s * t * u * t * v * u * t * s, s * t * u * v * u * t * s * v * u * v, s * t * u * t * v * u * t * s * v * u, s * t * s * u * v * u * t * s, s * t * u * t * s * v * u * t * s, s * t * u * v * u * t * s * v * u * t * v, s * t * u * t * v * u * t * s * v * u * t, s * t * s * u * t * v * u * t * s, s * t * s * u * t * s * v * u * t * s, s * t * s * u * v * u * t * s * v * u * t, s * t * u * v * u * t * s * v * u * t * v * u, s * t * u * t * s * v * u * t * s * v * u * t, s * t * s * u * v * u * t * s * v * u * v, s * t * s * u * t * s * v * u * t * s * v, s * t * s * u * v * u * t * s * v * u * t * v, s * t * u * t * s * v * u * t * s * v * u * v, s * t * u * v * u * t * s * v * u * t * v * u * v, s * t * u * t * s * v * u * t * s * v * u * t * v, s * t * u * t * v * u * t * s * v * u * t * v * u * v, s * t * s * u * t * v * u * t * s * v * u, s * t * s * u * t * s * v * u * t * s * v * u, s * t * s * u * v * u * t * s * v * u * t * v * u, s * t * s * u * v * u * t * s * v * u * t * v * u * v, s * t * u * t * s * v * u * t * s * v * u * t * v * u, s * t * u * t * s * v * u * t * s * v * u * t * v * u * v, s * t * s * u * t * v * u * t * s * v * u * t, s * t * s * u * t * s * v * u * t * s * v * u * t, s * t * s * u * t * v * u * t * s * v * u * t * v * u * v, s * t * s * u * t * s * v * u * t * s * v * u * t * v * u ]; // The b-basis on the elements not in Sigma(W): // (H(w) denotes the KL-basis elt corresponding to w.) (1)C(v) + (1)C(v * u * v). (1)C(u) + (1)C(u * v * u). (1)C(t * v) + (1)C(v * u * t * v). (1)C(u * t) + (1)C(u * v * u * t). (1)C(t * v * u) + (1)C(v * u * t * v * u). (1)C(t * u * t) + (1)C(u * t * v * u * t). (1)C(t * v) + (1)C(t * v * u * v). (1)C(u * t * v) + (1)C(u * t * v * u * v). (1)C((u * v)^2) + (1)C(t * v) + (1)C(v * u * t * v) + (1)C(t * v * u * v) + (1)C(v * u * t * v * u * v). (1)C(t * u * t * v) + (1)C((u * t * v)^2). (1)C(u * v * u * t * v) + (1)C(u * v * u * t * v * u * v). (1)C(t * u) + (1)C(t * u * v * u). (1)C(t * u * t) + (1)C(t * u * t * v * u). (1)C(t * v * u * t) + (1)C((t * v * u)^2). (1)C(t * u * v * u * v) + (1)C(t * v * u * t * v * u * v). (1)C(t * u * t) + (1)C(u * t * v * u * t) + (1)C(t * u * t * v * u) + (1)C(u * t * v * u * t * v * u). (1)C((u * v)^2) + (1)C(u * t * v * u * t * v * u * v). (1)C(t) + (1)C(t * u * t) + (1)C(t * u * v * u * t). (v^-1 + v)C(t * u * t) + (1)C(t * u * t * v * u * t). (1)C(t * u * v * u * t * v) + (1)C(t * u * v * u * t * v * u * v). (1)C(t * u * t * v * u * t) + (1)C(t * u * t * v * u * t * v * u). (1)C(s * v) + (1)C(s * v * u * v). (1)C(s * u) + (1)C(s * u * v * u). (1)C(t * s * v) + (1)C(v * u * t * s * v). (1)C(u * t * s) + (1)C(u * v * u * t * s). (1)C(t * s * v * u) + (1)C(v * u * t * s * v * u). (1)C(t * u * t * s) + (1)C(u * t * v * u * t * s). (1)C(t * s * v) + (1)C(t * s * v * u * v). (1)C(u * t * s * v) + (1)C(u * t * s * v * u * v). (1)C(s * u * v * u * v) + (1)C(t * s * v) + (1)C(v * u * t * s * v) + (1)C(t * s * v * u * v) + (1)C(v * u * t * s * v * u * v). (1)C(t * u * t * s * v) + (1)C(u * t * v * u * t * s * v). (1)C(u * v * u * t * s * v) + (1)C(u * v * u * t * s * v * u * v). (1)C(t * s * u) + (1)C(t * s * u * v * u). (1)C(t * u * t * s) + (1)C(t * u * t * s * v * u). (1)C(t * v * u * t * s) + (1)C(t * v * u * t * s * v * u). (1)C(t * s * u * v * u * v) + (1)C(t * v * u * t * s * v * u * v). (1)C(t * u * t * s) + (1)C(u * t * v * u * t * s) + (1)C(t * u * t * s * v * u) + (1)C(u * t * v * u * t * s * v * u). (1)C(s * u * v * u * v) + (1)C(u * t * v * u * t * s * v * u * v). (1)C(t * s) + (1)C(t * u * t * s) + (1)C(t * u * v * u * t * s). (v^-1 + v)C(t * u * t * s) + (1)C(t * u * t * v * u * t * s). (1)C(t * u * v * u * t * s * v) + (1)C(t * u * v * u * t * s * v * u * v). (1)C(t * u * t * v * u * t * s) + (1)C(t * u * t * v * u * t * s * v * u). (1)C(s * t * v) + (1)C(s * v * u * t * v). (1)C(s * u * t) + (1)C(s * u * v * u * t). (1)C(s * t * s * v) + (1)C(s * v * u * t * s * v). (1)C(s * u * t * s) + (1)C(s * u * v * u * t * s). (1)C(t * s * v * u * t) + (1)C(v * u * t * s * v * u * t). (1)C(t * s * u * t * s) + (1)C(u * t * s * v * u * t * s). (1)C(t * v) + (1)C(s * t * s * v) + (1)C(t * s * v * u * t * v). (1)C(u * t * v) + (1)C(s * u * t * s * v) + (1)C(u * t * s * v * u * t * v). (1)C(t * v) + (1)C(v * u * t * v) + (1)C(s * u * v * u * t * v) + (1)C(s * t * s * v) + (1)C(s * v * u * t * s * v) + (1)C(t * s * v * u * t * v) + (1)C(v * u * t * s * v * u * t * v). (1)C(t * s * u * t * s * v) + (1)C((u * t * s * v)^2). (1)C(s * u * v * u * t * s * v) + (1)C(u * v * u * t * s * v * u * t * v). (1)C(t * s * u * t) + (1)C(t * s * u * v * u * t). (1)C(t * u * t) + (1)C(t * s * u * t * s) + (1)C(t * u * t * s * v * u * t). (1)C(t * v * u * t) + (1)C(t * s * v * u * t * s) + (1)C(t * v * u * t * s * v * u * t). (1)C(t * s * u * v * u * t * v) + (1)C(t * v * u * t * s * v * u * t * v). (1)C(t * u * t) + (1)C(u * t * v * u * t) + (1)C(t * s * u * t * s) + (1)C(u * t * s * v * u * t * s) + (1)C(t * u * t * s * v * u * t) + (1)C(u * t * v * u * t * s * v * u * t). (1)C(s * u * v * u * t * v) + (1)C(u * t * v * u * t * s * v * u * t * v). (1)C(s * t * s) + (1)C(t * s * u * t * s) + (1)C(t * s * u * v * u * t * s). (v^-1 + v)C(t * s * u * t * s) + (1)C(t * u * t * s * v * u * t * s). (1)C(t * s * u * v * u * t * s * v) + (1)C(t * u * v * u * t * s * v * u * t * v). (1)C(t * u * t * s * v * u * t * s) + (1)C(t * u * t * v * u * t * s * v * u * t). (1)C(s * t * v * u) + (1)C(s * v * u * t * v * u). (1)C(s * t * u * t) + (1)C(s * u * t * v * u * t). (1)C(s * t * s * v * u) + (1)C(s * v * u * t * s * v * u). (1)C(s * t * u * t * s) + (1)C(s * u * t * v * u * t * s). (1)C(s * t * s * v * u * t) + (1)C((s * v * u * t)^2). (1)C(s * t * s * u * t * s) + (1)C(s * u * t * s * v * u * t * s). (1)C(t * v * u) + (1)C(s * t * s * v * u) + (1)C(t * s * v * u * t * v * u). (1)C(u * t * v * u) + (1)C(s * u * t * s * v * u) + (1)C(u * t * s * v * u * t * v * u). (1)C(t * v * u) + (1)C(v * u * t * v * u) + (1)C(s * u * v * u * v) + (1)C(s * u * v * u * t * v * u) + (1)C(s * t * s * v * u) + (1)C(s * v * u * t * s * v * u) + (1)C(t * s * v * u * t * v * u) + (1)C(v * u * t * s * v * u * t * v * u). (1)C(t * s * u * t * s * v * u) + (1)C(u * t * s * v * u * t * s * v * u). (1)C(s * u * v * u * t * s * v * u) + (1)C(u * v * u * t * s * v * u * t * v * u). (1)C(t * u * t) + (1)C(s * t * s * u * t) + (1)C(t * s * u * t * v * u * t). (1)C(s * t * s * u * t * s) + (1)C(t * s * u * t * s * v * u * t). (1)C(s * t * s * v * u * t * s) + (1)C(t * s * v * u * t * s * v * u * t). (1)C(t * s * u * v * u * t * v * u) + (1)C(t * v * u * t * s * v * u * t * v * u). (1)C(s * t * s * u * t * s) + (1)C(s * u * t * s * v * u * t * s) + (1)C(t * s * u * t * s * v * u * t) + (1)C(u * t * s * v * u * t * s * v * u * t). (1)C(s * u * v * u * t * v * u) + (1)C(u * t * v * u * t * s * v * u * t * v * u). (1)C(t * u * t * s) + (1)C(s * t * s * u) + (1)C(s * t * s * u * t * s) + (1)C(t * s * u * t * v * u * t * s). (v^-1 + v)C(s * t * s * u * t * s) + (1)C(t * s * u * t * s * v * u * t * s). (1)C(t * s * u * v * u * t * s * v * u) + (1)C(t * u * v * u * t * s * v * u * t * v * u). (1)C(t * s * u * t * s * v * u * t * s) + (1)C(t * u * t * s * v * u * t * s * v * u * t). (1)C(s * t * v) + (1)C(s * t * v * u * v). (1)C(s * u * t * v) + (1)C(s * u * t * v * u * v). (1)C(s * u * v * u * v) + (1)C(s * t * v) + (1)C(s * v * u * t * v) + (1)C(s * t * v * u * v) + (1)C(s * v * u * t * v * u * v). (1)C(s * t * u * t * v) + (1)C(s * u * t * v * u * t * v). (1)C(s * u * v * u * t * v) + (1)C(s * u * v * u * t * v * u * v). (1)C(s * t * s * v) + (1)C(s * t * s * v * u * v). (1)C(s * u * t * s * v) + (1)C(s * u * t * s * v * u * v). (1)C(s * t * s * v) + (1)C(s * v * u * t * s * v) + (1)C(s * t * s * v * u * v) + (1)C(s * v * u * t * s * v * u * v). (1)C(s * t * u * t * s * v) + (1)C(s * u * t * v * u * t * s * v). (1)C(s * u * v * u * v) + (1)C(s * u * v * u * t * s * v) + (1)C(s * u * v * u * t * s * v * u * v). (1)C(s * t * s * v * u * t * v) + (1)C(s * v * u * t * s * v * u * t * v). (1)C(s * t * s * u * t * s * v) + (1)C(s * u * t * s * v * u * t * s * v). (1)C(t * s * u * t * v) + (1)C(t * s * u * t * v * u * v). (1)C(t * v) + (1)C(t * v * u * v) + (1)C(t * s * u * v * u * v) + (1)C(s * t * s * v) + (1)C(t * s * v * u * t * v) + (1)C(s * t * s * v * u * v) + (1)C(t * s * v * u * t * v * u * v). (1)C(t * s * u * t * s * v) + (1)C(t * s * u * t * s * v * u * v). (1)C(t * s * v * u * t * s * v) + (1)C(t * s * v * u * t * s * v * u * v). (1)C(u * t * v) + (1)C(u * t * v * u * v) + (1)C(s * u * v * u * v) + (1)C(t * u * t * s * v * u * v) + (1)C(s * u * t * s * v) + (1)C(u * t * s * v * u * t * v) + (1)C(s * u * t * s * v * u * v) + (1)C(u * t * s * v * u * t * v * u * v). (1)C((u * v)^2) + (1)C(t * v) + (1)C(v * u * t * v) + (1)C(t * v * u * v) + (1)C(v * u * t * v * u * v) + (1)C(u * t * v * u * t * v * u * v) + (v^-1 + v)C(s * u * v * u * v) + (1)C(t * s * u * v * u * v) + (1)C(t * v * u * t * s * v * u * v) + (1)C(s * u * v * u * t * v) + (1)C(s * t * s * v) + (1)C(s * v * u * t * s * v) + (1)C(t * s * v * u * t * v) + (1)C(v * u * t * s * v * u * t * v) + (1)C(s * u * v * u * t * v * u * v) + (1)C(s * t * s * v * u * v) + (1)C(s * v * u * t * s * v * u * v) + (1)C(t * s * v * u * t * v * u * v) + (1)C(v * u * t * s * v * u * t * v * u * v). (1)C(t * s * u * t * s * v) + (1)C((u * t * s * v)^2) + (1)C(t * s * u * t * s * v * u * v) + (1)C(u * t * s * v * u * t * s * v * u * v). (1)C(s * u * v * u * v) + (1)C(u * t * v * u * t * s * v * u * v) + (1)C(s * u * v * u * t * s * v) + (1)C(u * v * u * t * s * v * u * t * v) + (1)C(s * u * v * u * t * s * v * u * v) + (1)C(u * v * u * t * s * v * u * t * v * u * v). (1)C(t * u * t * v) + (1)C(s * t * s * u * t * v) + (1)C(t * s * u * t * v * u * t * v). (1)C(t * s * u * v * u * t * v) + (1)C(t * s * u * v * u * t * v * u * v). (1)C(s * t * s * u * t * s * v) + (1)C(t * s * u * t * s * v * u * t * v). (1)C(s * t * s * v * u * t * s * v) + (1)C(t * s * v * u * t * s * v * u * t * v). (1)C(t * u * t * s * v * u * t * v) + (1)C(t * u * t * s * v * u * t * v * u * v). (1)C(t * u * t * v * u * t * v * u * v) + (1)C(t * s * u * v * u * t * v) + (1)C(t * v * u * t * s * v * u * t * v) + (1)C(t * s * u * v * u * t * v * u * v) + (1)C(t * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s * v) + (1)C(s * u * t * s * v * u * t * s * v) + (1)C(t * s * u * t * s * v * u * t * v) + (1)C(u * t * s * v * u * t * s * v * u * t * v). (1)C(s * u * v * u * t * v) + (1)C(u * t * v * u * t * s * v * u * t * v) + (1)C(s * u * v * u * t * v * u * v) + (1)C(u * t * v * u * t * s * v * u * t * v * u * v). (1)C(t * u * t * s * v) + (1)C(s * t * s * u * v) + (1)C(s * t * s * u * t * s * v) + (1)C(t * s * u * t * v * u * t * s * v). (1)C(t * s * u * v * u * v) + (1)C(t * s * u * v * u * t * s * v) + (1)C(t * s * u * v * u * t * s * v * u * v). (v^-1 + v)C(s * t * s * u * t * s * v) + (1)C(t * s * u * t * s * v * u * t * s * v). (1)C(t * u * t * s * v * u * v) + (1)C(t * u * t * s * v * u * t * s * v) + (1)C(t * u * t * s * v * u * t * s * v * u * v). (1)C(t * s * u * v * u * v) + (1)C(t * v * u * t * s * v * u * v) + (1)C(t * u * t * v * u * t * s * v * u * v) + (1)C(t * s * u * v * u * t * s * v) + (1)C(t * u * v * u * t * s * v * u * t * v) + (1)C(t * s * u * v * u * t * s * v * u * v) + (1)C(t * u * v * u * t * s * v * u * t * v * u * v). (1)C(t * s * u * t * s * v * u * t * s * v) + (1)C(t * u * t * s * v * u * t * s * v * u * t * v). (1)C(t * u * t * v * u * t * s * v * u * t * v) + (1)C(t * u * t * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * u) + (1)C(s * t * u * v * u). (1)C(s * t * u * t) + (1)C(s * t * u * t * v * u). (1)C(s * t * v * u * t) + (1)C(s * t * v * u * t * v * u). (1)C(s * t * u * v * u * v) + (1)C(s * t * v * u * t * v * u * v). (1)C(s * t * u * t) + (1)C(s * u * t * v * u * t) + (1)C(s * t * u * t * v * u) + (1)C(s * u * t * v * u * t * v * u). (1)C(s * u * v * u * v) + (1)C(s * u * t * v * u * t * v * u * v). (1)C(s * t * s * u) + (1)C(s * t * s * u * v * u). (1)C(s * t * u * t * s) + (1)C(s * t * u * t * s * v * u). (1)C(s * t * v * u * t * s) + (1)C(s * t * v * u * t * s * v * u). (1)C(s * u * v * u * v) + (1)C(s * t * s * u * v * u * v) + (1)C(s * t * v * u * t * s * v * u * v). (1)C(s * u * v * u * v) + (1)C(s * t * u * t * s) + (1)C(s * u * t * v * u * t * s) + (1)C(s * t * u * t * s * v * u) + (1)C(s * u * t * v * u * t * s * v * u). (v^-1 + v)C(s * u * v * u * v) + (1)C(s * u * t * v * u * t * s * v * u * v). (1)C(s * t * s * u * t) + (1)C(s * t * s * u * t * v * u). (1)C(s * t * s * v * u * t) + (1)C(s * t * s * v * u * t * v * u). (1)C(s * t * s * u * t * s) + (1)C(s * t * s * u * t * s * v * u). (1)C(s * t * s * v * u * t * s) + (1)C(s * t * s * v * u * t * s * v * u). (1)C(s * u * t * s * v * u * t) + (1)C(s * u * t * s * v * u * t * v * u). (1)C(s * t * s * v * u * t) + (1)C((s * v * u * t)^2) + (1)C(s * t * s * v * u * t * v * u) + (1)C(s * v * u * t * s * v * u * t * v * u). (1)C(s * t * s * u * t * s) + (1)C(s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * s * v * u) + (1)C(s * u * t * s * v * u * t * s * v * u). (1)C(s * u * v * u * t * s * v * u * t) + (1)C(s * u * v * u * t * s * v * u * t * v * u). (1)C(s * t * s * u * v * u * v) + (1)C(s * t * s * v * u * t * v * u * v). (1)C(s * t * u * t * s * v * u * v) + (1)C(s * u * t * s * v * u * t * v * u * v). (1)C(s * u * v * u * v) + (1)C(s * u * t * v * u * t * v * u * v) + (1)C(s * t * s * u * v * u * v) + (1)C(s * t * v * u * t * s * v * u * v) + (1)C(s * t * s * v * u * t * v * u * v) + (1)C(s * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s * v * u * v) + (1)C(s * u * t * s * v * u * t * s * v * u * v). (1)C(s * u * t * v * u * t * s * v * u * v) + (1)C(s * u * v * u * t * s * v * u * t * v * u * v). (1)C(t * u * t) + (1)C(t * u * t * v * u) + (1)C(s * t * s * u * t) + (1)C(t * s * u * t * v * u * t) + (1)C(s * t * s * u * t * v * u) + (1)C(t * s * u * t * v * u * t * v * u). (1)C(t * s * u * v * u * v) + (1)C(t * s * u * t * v * u * t * v * u * v). (1)C(s * t * s * u * t * s) + (1)C(t * s * u * t * s * v * u * t) + (1)C(s * t * s * u * t * s * v * u) + (1)C(t * s * u * t * s * v * u * t * v * u). (1)C(s * t * s * v * u * t * s) + (1)C(t * s * v * u * t * s * v * u * t) + (1)C(s * t * s * v * u * t * s * v * u) + (1)C(t * s * v * u * t * s * v * u * t * v * u). (1)C(t * u * t * s * v * u * v) + (1)C(t * s * u * t * s * v * u * t * v * u * v). (1)C(t * s * u * v * u * v) + (1)C(t * v * u * t * s * v * u * v) + (1)C(t * s * u * t * v * u * t * v * u * v) + (1)C(t * s * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s) + (1)C(s * u * t * s * v * u * t * s) + (1)C(t * s * u * t * s * v * u * t) + (1)C(u * t * s * v * u * t * s * v * u * t) + (1)C(s * t * s * u * t * s * v * u) + (1)C(s * u * t * s * v * u * t * s * v * u) + (1)C(t * s * u * t * s * v * u * t * v * u) + (1)C(u * t * s * v * u * t * s * v * u * t * v * u). (1)C(t * u * t * v * u * t * v * u * v) + (1)C(s * u * v * u * v) + (1)C(u * t * v * u * t * s * v * u * v) + (1)C(s * u * t * v * u * t * v * u * v) + (1)C(u * t * s * v * u * t * s * v * u * t * v * u * v). (1)C(t * u * t * s) + (1)C(t * s * u * v * u * v) + (1)C(t * u * t * s * v * u) + (1)C(s * t * s * u) + (1)C(s * t * s * u * t * s) + (1)C(t * s * u * t * v * u * t * s) + (1)C(s * t * s * u * v * u) + (1)C(s * t * s * u * t * s * v * u) + (1)C(t * s * u * t * v * u * t * s * v * u). (v^-1 + v)C(t * s * u * v * u * v) + (1)C(t * s * u * t * v * u * t * s * v * u * v). (v^-1 + v)C(s * t * s * u * t * s) + (1)C(t * s * u * t * s * v * u * t * s) + (v^-1 + v)C(s * t * s * u * t * s * v * u) + (1)C(t * s * u * t * s * v * u * t * s * v * u). (1)C(t * s * u * v * u * t * s * v * u * t) + (1)C(t * s * u * v * u * t * s * v * u * t * v * u). (1)C(t * s * u * t * v * u * t * s * v * u * v) + (1)C(t * s * u * v * u * t * s * v * u * t * v * u * v). (1)C(t * s * u * t * s * v * u * t * s) + (1)C(t * u * t * s * v * u * t * s * v * u * t) + (1)C(t * s * u * t * s * v * u * t * s * v * u) + (1)C(t * u * t * s * v * u * t * s * v * u * t * v * u). (1)C(t * u * t * v * u * t * s * v * u * v) + (1)C(t * u * t * s * v * u * t * s * v * u * t * v * u * v). (1)C(s * t) + (1)C(s * t * u * t) + (1)C(s * t * u * v * u * t). (v^-1 + v)C(s * t * u * t) + (1)C(s * t * u * t * v * u * t). (1)C(s * t * u * v * u * t * v) + (1)C(s * t * u * v * u * t * v * u * v). (1)C(s * t * u * t * v * u * t) + (1)C(s * t * u * t * v * u * t * v * u). (1)C(s * t * s) + (1)C(s * t * s * u * t) + (1)C(s * t * s * u * v * u * t). (1)C(s * u * t * s) + (1)C(s * t * u * t) + (1)C(s * t * s * u * t * s) + (1)C(s * t * u * t * s * v * u * t). (1)C(s * v * u * t * s) + (1)C(s * t * v * u * t) + (1)C(s * t * s * v * u * t * s) + (1)C(s * t * v * u * t * s * v * u * t). (1)C(s * u * v * u * t * v) + (1)C(s * t * s * u * v * u * t * v) + (1)C(s * t * v * u * t * s * v * u * t * v). (1)C(s * u * v * u * t * v) + (1)C(s * u * t * s) + (1)C(s * u * v * u * t * s) + (1)C(s * t * u * t) + (1)C(s * u * t * v * u * t) + (1)C(s * t * s * u * t * s) + (1)C(s * u * t * s * v * u * t * s) + (1)C(s * t * u * t * s * v * u * t) + (1)C(s * u * t * v * u * t * s * v * u * t). (v^-1 + v)C(s * u * v * u * t * v) + (1)C(s * u * t * v * u * t * s * v * u * t * v). (v^-1 + v)C(s * t * s * u * t) + (1)C(s * t * s * u * t * v * u * t). (v^-1 + v)C(s * t * s * u * t * s) + (1)C(s * t * s * u * t * s * v * u * t). (v^-1 + v)C(s * t * s * v * u * t * s) + (1)C(s * t * s * v * u * t * s * v * u * t). (1)C(s * u * v * u * t * v * u) + (1)C(s * t * s * u * v * u * t * v * u) + (1)C(s * t * v * u * t * s * v * u * t * v * u). (v^-1 + v)C(s * t * s * u * t * s) + (v^-1 + v)C(s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * s * v * u * t) + (1)C(s * u * t * s * v * u * t * s * v * u * t). (1)C(s * t * s * u * v * u * t * v) + (1)C(s * t * s * u * v * u * t * v * u * v). (1)C(s * t * u * t * s * v * u * t * v) + (1)C(s * t * u * t * s * v * u * t * v * u * v). (1)C(s * u * v * u * t * v) + (1)C(s * u * v * u * t * v * u * v) + (1)C(s * t * u * t * v * u * t * v * u * v) + (1)C(s * t * s * u * v * u * t * v) + (1)C(s * t * v * u * t * s * v * u * t * v) + (1)C(s * t * s * u * v * u * t * v * u * v) + (1)C(s * t * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s * v * u * t * v) + (1)C(s * u * t * s * v * u * t * s * v * u * t * v). (1)C(s * u * t * v * u * t * s * v * u * t * v) + (1)C(s * u * t * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * v * u * t) + (1)C(s * t * s * u * t * v * u * t * v * u). (1)C(s * t * s * u * t * s * v * u * t) + (1)C(s * t * s * u * t * s * v * u * t * v * u). (1)C(s * t * s * v * u * t * s * v * u * t) + (1)C(s * t * s * v * u * t * s * v * u * t * v * u). (1)C(s * t * s * u * t * v * u * t * v * u * v) + (1)C(s * t * s * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s * v * u * t) + (1)C(s * u * t * s * v * u * t * s * v * u * t) + (1)C(s * t * s * u * t * s * v * u * t * v * u) + (1)C(s * u * t * s * v * u * t * s * v * u * t * v * u). (1)C(s * t * u * t * v * u * t * v * u * v) + (1)C(s * u * t * s * v * u * t * s * v * u * t * v * u * v). (1)C(t * u * t) + (1)C(s * t * s) + (1)C(t * s * u * t * s) + (1)C(t * s * u * v * u * t * v) + (1)C(t * u * t * s * v * u * t) + (1)C(t * s * u * v * u * t * s) + (1)C(s * t * s * u * t) + (v^-1 + v)C(s * t * s * u * t * s) + (1)C(s * t * s * v * u * t * s) + (1)C(t * s * u * t * v * u * t) + (1)C(t * s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * s * v) + (1)C(s * t * s * u * v * u * t) + (1)C(s * t * s * u * t * s * v * u * t) + (1)C(t * s * u * t * v * u * t * s * v * u * t). (v^-1 + v)C(t * s * u * v * u * t * v) + (1)C(t * s * u * t * v * u * t * s * v * u * t * v). (v^-2 + 2 + v^2)C(s * t * s * u * t * s) + (v^-1 + v)C(t * s * u * t * s * v * u * t * s) + (v^-1 + v)C(s * t * s * u * t * s * v * u * t) + (1)C(t * s * u * t * s * v * u * t * s * v * u * t). (1)C(t * s * u * t * v * u * t * s * v * u * t * v) + (1)C(t * s * u * t * v * u * t * s * v * u * t * v * u * v). (1)C(t * s * u * t * s * v * u * t * s * v * u * t) + (1)C(t * s * u * t * s * v * u * t * s * v * u * t * v * u). (1)C(t * u * t * v * u * t * v * u * v) + (1)C(t * s * u * t * s * v * u * t * s * v * u * t * v * u * v). (1)C(s) + (1)C(s * t * s) + (1)C(s * t * u * t * s) + (1)C(s * t * u * v * u * t * s). (v^-1 + v)C(s * t * u * t * s) + (1)C(s * t * u * t * v * u * t * s). (1)C(s * t * u * v * u * t * s * v) + (1)C(s * t * u * v * u * t * s * v * u * v). (1)C(s * t * u * t * v * u * t * s) + (1)C(s * t * u * t * v * u * t * s * v * u). (v^-1 + v)C(s * t * s) + (1)C(s * t * s * v) + (1)C(s * t * s * u * t * s) + (1)C(s * t * s * u * v * u * t * s). (v^-1 + v)C(s * u * t * s) + (v^-1 + v)C(s * t * s * u * t * s) + (1)C(s * t * u * t * s * v * u * t * s). (1)C(s * u * v * u * t * s * v) + (1)C(s * t * s * u * v * u * t * s * v) + (1)C(s * t * u * v * u * t * s * v * u * t * v). (1)C(s * t * u * t * s * v * u * t * s) + (1)C(s * t * u * t * v * u * t * s * v * u * t). (v^-1 + v)C(s * t * s * u) + (v^-1 + v)C(s * t * s * u * t * s) + (1)C(s * t * s * u * t * v * u * t * s). (v^-2 + 2 + v^2)C(s * t * s * u * t * s) + (1)C(s * t * s * u * t * s * v * u * t * s). (1)C(s * t * s * v * u * t * s) + (1)C(s * t * s * u * v * u * t * s * v * u * t). (1)C(s * u * v * u * t * s * v * u) + (1)C(s * t * s * u * v * u * t * s * v * u) + (1)C(s * t * u * v * u * t * s * v * u * t * v * u). (1)C(s * t * s * u * t * s) + (1)C(s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * s * v * u * t * s) + (1)C(s * t * u * t * s * v * u * t * s * v * u * t). (1)C(s * t * s * u * v * u * v) + (1)C(s * t * s * u * v * u * t * s * v) + (1)C(s * t * s * u * v * u * t * s * v * u * v). (1)C(s * t * s * u * t * s * v) + (1)C(s * t * s * u * t * s * v * u * t * s * v). (1)C(s * t * s * v * u * t * s * v) + (1)C(s * t * s * u * v * u * t * s * v * u * t * v). (1)C(s * t * u * t * s * v * u * v) + (1)C(s * t * u * t * s * v * u * t * s * v) + (1)C(s * t * u * t * s * v * u * t * s * v * u * v). (1)C(s * u * v * u * v) + (1)C(s * u * v * u * t * s * v) + (1)C(s * u * v * u * t * s * v * u * v) + (1)C(s * t * s * u * v * u * v) + (1)C(s * t * v * u * t * s * v * u * v) + (1)C(s * t * u * t * v * u * t * s * v * u * v) + (1)C(s * t * s * u * v * u * t * s * v) + (1)C(s * t * u * v * u * t * s * v * u * t * v) + (1)C(s * t * s * u * v * u * t * s * v * u * v) + (1)C(s * t * u * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s * v) + (1)C(s * u * t * s * v * u * t * s * v) + (1)C(s * t * s * u * t * s * v * u * t * s * v) + (1)C(s * t * u * t * s * v * u * t * s * v * u * t * v). (1)C(s * t * u * t * v * u * t * s * v * u * t * v) + (1)C(s * t * u * t * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * v * u * t * s) + (1)C(s * t * s * u * t * v * u * t * s * v * u). (1)C(s * t * s * u * t * s) + (1)C(s * t * s * u * t * s * v * u) + (1)C(s * t * s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * s * v * u * t * s * v * u). (1)C(s * t * s * v * u * t * s) + (1)C(s * t * s * v * u * t * s * v * u) + (1)C(s * t * s * u * v * u * t * s * v * u * t) + (1)C(s * t * s * u * v * u * t * s * v * u * t * v * u). (1)C(s * t * s * u * t * v * u * t * s * v * u * v) + (1)C(s * t * s * u * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s) + (1)C(s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * s * v * u) + (1)C(s * u * t * s * v * u * t * s * v * u) + (1)C(s * t * s * u * t * s * v * u * t * s) + (1)C(s * t * u * t * s * v * u * t * s * v * u * t) + (1)C(s * t * s * u * t * s * v * u * t * s * v * u) + (1)C(s * t * u * t * s * v * u * t * s * v * u * t * v * u). (1)C(s * t * u * t * v * u * t * s * v * u * v) + (1)C(s * t * u * t * s * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s) + (1)C(s * t * s * u * v * u * t * s) + (1)C(s * t * s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * v * u * t * s * v * u * t). (v^-1 + v)C(s * t * s * u * t * s) + (v^-1 + v)C(s * t * s * u * t * s * v * u * t * s) + (1)C(s * t * s * u * t * s * v * u * t * s * v * u * t). (1)C(s * t * s * u * t * v * u * t * s * v * u * t * v) + (1)C(s * t * s * u * t * v * u * t * s * v * u * t * v * u * v). (1)C(s * t * s * u * t * s * v * u * t * s * v * u * t) + (1)C(s * t * s * u * t * s * v * u * t * s * v * u * t * v * u).