Sample Parameters for all faces of the cone aa2a3a4

Cone a
({u2: 3, u1: 6, u5: 57*t^2 - 46, u4: 12, u3: -9, u6: 17}, [-1/3*t*u2 + 1/3*u1 - 1/3*u3, 2/3*t*u2 + 1/3*u1 - 1/3*u3, -1/3*t*u2 + 1/3*u1 + 2/3*u3, -1/3*t*u2 + 1/3*u1 - 1/3*u3 + u4, -1/3*t*u2 + 1/3*u1 - 1/3*u3 + u5, -1/3*t*u2 + 1/3*u1 - 1/3*u3 + u6])

Cone a2a3
({u2: 3, u1: 6, u5: 57*t^4 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [1/3*t^2*u1 - 1/3*t^2*u2 - 1/3*u3, 1/3*t^2*u1 + 2/3*t^2*u2 - 1/3*u3, 1/3*t^2*u1 - 1/3*t^2*u2 + 2/3*u3, 1/3*t^2*u1 - 1/3*t^2*u2 - 1/3*u3 + u4, 1/3*t^2*u1 - 1/3*t^2*u2 - 1/3*u3 + u5, 1/3*t^2*u1 - 1/3*t^2*u2 - 1/3*u3 + u6])

Cone b
({u2: 3, u1: 6, u5: 57*t^2 - 46, u4: 12, u3: -9, u6: 17}, [-1/3*t*u2 - 1/3*t*u3 + 1/3*u1, 2/3*t*u2 - 1/3*t*u3 + 1/3*u1, -1/3*t*u2 + 2/3*t*u3 + 1/3*u1, -1/3*t*u2 - 1/3*t*u3 + 1/3*u1 + u4, -1/3*t*u2 - 1/3*t*u3 + 1/3*u1 + u5, -1/3*t*u2 - 1/3*t*u3 + 1/3*u1 + u6])

Cone aa2a3
({u2: 3, u1: 6, u5: 57*t^6 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [-1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*u3, 2/3*t^3*u2 + 1/3*t^2*u1 - 1/3*u3, -1/3*t^3*u2 + 1/3*t^2*u1 + 2/3*u3, -1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*u3 + u4, -1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*u3 + u5, -1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*u3 + u6])

Cone a2a3b
({u2: 3, u1: 6, u5: 57*t^6 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [-1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*t*u3, 2/3*t^3*u2 + 1/3*t^2*u1 - 1/3*t*u3, -1/3*t^3*u2 + 1/3*t^2*u1 + 2/3*t*u3, -1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*t*u3 + u4, -1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*t*u3 + u5, -1/3*t^3*u2 + 1/3*t^2*u1 - 1/3*t*u3 + u6])

Cone aa2a3b
({u2: 3, u1: 6, u5: 57*t^8 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [-1/3*t^4*u2 + 1/3*t^2*u1 - 1/3*t*u3, 2/3*t^4*u2 + 1/3*t^2*u1 - 1/3*t*u3, -1/3*t^4*u2 + 1/3*t^2*u1 + 2/3*t*u3, -1/3*t^4*u2 + 1/3*t^2*u1 - 1/3*t*u3 + u4, -1/3*t^4*u2 + 1/3*t^2*u1 - 1/3*t*u3 + u5, -1/3*t^4*u2 + 1/3*t^2*u1 - 1/3*t*u3 + u6])

Cone a2b
({u2: 3, u1: 6, u5: 57*t^4 - 46, u4: 12, u3: -9, u6: 17}, [-1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3, 2/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3, -1/3*t^2*u2 + 1/3*t*u1 + 2/3*t*u3, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3 + u4, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3 + u5, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3 + u6])

Cone a3b
({u2: 3, u1: 6, u5: 57*t^4 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [-1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3, 2/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3, -1/3*t^2*u2 + 1/3*t*u1 + 2/3*t*u3, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3 + u4, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3 + u5, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*t*u3 + u6])

Cone a3
({u2: 3, u1: 6, u5: 57*t^2 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [1/3*t*u1 - 1/3*t*u2 - 1/3*u3, 1/3*t*u1 + 2/3*t*u2 - 1/3*u3, 1/3*t*u1 - 1/3*t*u2 + 2/3*u3, 1/3*t*u1 - 1/3*t*u2 - 1/3*u3 + u4, 1/3*t*u1 - 1/3*t*u2 - 1/3*u3 + u5, 1/3*t*u1 - 1/3*t*u2 - 1/3*u3 + u6])

Cone a2
({u2: 3, u1: 6, u5: 57*t^2 - 46, u4: 12, u3: -9, u6: 17}, [1/3*t*u1 - 1/3*t*u2 - 1/3*u3, 1/3*t*u1 + 2/3*t*u2 - 1/3*u3, 1/3*t*u1 - 1/3*t*u2 + 2/3*u3, 1/3*t*u1 - 1/3*t*u2 - 1/3*u3 + u4, 1/3*t*u1 - 1/3*t*u2 - 1/3*u3 + u5, 1/3*t*u1 - 1/3*t*u2 - 1/3*u3 + u6])

Cone aa3
({u2: 3, u1: 6, u5: 57*t^4 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [-1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3, 2/3*t^2*u2 + 1/3*t*u1 - 1/3*u3, -1/3*t^2*u2 + 1/3*t*u1 + 2/3*u3, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3 + u4, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3 + u5, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3 + u6])

Cone aa2
({u2: 3, u1: 6, u5: 57*t^4 - 46, u4: 12, u3: -9, u6: 17}, [-1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3, 2/3*t^2*u2 + 1/3*t*u1 - 1/3*u3, -1/3*t^2*u2 + 1/3*t*u1 + 2/3*u3, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3 + u4, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3 + u5, -1/3*t^2*u2 + 1/3*t*u1 - 1/3*u3 + u6])

Cone aa3b
({u2: 3, u1: 6, u5: 57*t^6 - 57*t + 11, u4: t + 11, u3: -9, u6: 17}, [-1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3, 2/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3, -1/3*t^3*u2 + 1/3*t*u1 + 2/3*t*u3, -1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3 + u4, -1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3 + u5, -1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3 + u6])

Cone aa2b
({u2: 3, u1: 6, u5: 57*t^6 - 46, u4: 12, u3: -9, u6: 17}, [-1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3, 2/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3, -1/3*t^3*u2 + 1/3*t*u1 + 2/3*t*u3, -1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3 + u4, -1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3 + u5, -1/3*t^3*u2 + 1/3*t*u1 - 1/3*t*u3 + u6])

Cone ab
({u2: 3, u1: 6, u5: 57*t^4 - 46, u4: 12, u3: -9, u6: 17}, [-1/3*t^2*u2 - 1/3*t*u3 + 1/3*u1, 2/3*t^2*u2 - 1/3*t*u3 + 1/3*u1, -1/3*t^2*u2 + 2/3*t*u3 + 1/3*u1, -1/3*t^2*u2 - 1/3*t*u3 + 1/3*u1 + u4, -1/3*t^2*u2 - 1/3*t*u3 + 1/3*u1 + u5, -1/3*t^2*u2 - 1/3*t*u3 + 1/3*u1 + u6])