Table 2 The 14 rays of the cone C_23,45. Each ray is determined by a vector shown in the second column. The third column shows, for each ray, which cones it belongs to. If a cone is starred then the ray is on the boundary of that cone, but not a ray of it.

I

(-3, 5, -3, -1, 5, -3, -1, 1, 1, -1)

(-3, 5, -3, -1, 1, 1, -1, 5, -3, -1)

(5, -3, -3, -1, -3, 5, -1, 1, 1, -1)

(1, 1, -3, -1, -3, 5, -1, 5, -3, -1)

(5, -3, -3, -1, 1, 1, -1, -3, 5, -1)

(1, 1, -3, -1, 5, -3, -1, -3, 5, -1)

C_23,45, C_23,15, C_23,14, $C_{12,34}^{\ast }$, $C_{34,12}^{\ast }$

C_23,45, C_23,15, C_23,14, $C_{12,35}^{\ast }$, $C_{35,12}^{\ast }$

C_23,45, C_23,15, C_23,14, $C_{24,13}^{\ast }$, $C_{13,24}^{\ast }$

C_23,45, C_23,15, C_23,14, $C_{25,13}^{\ast }$, $C_{25,13}^{\ast }$

C_23,45, C_23,15, C_23,14, $C_{24,35}^{\ast }$, $C_{35,24}^{\ast }$

C_23,45, C_23,15, C_23,14, $C_{25,34}^{\ast }$, $C_{25,34}^{\ast }$

II

(-1, 1, -1, 1, 1, -1, -1, 1, 1, -1)

(-1, 1, -1, -1, 1, 1, 1, 1, -1, -1)

(1, 1, -1, -1, -1, 1, -1, 1, -1, 1)

(1, -1, -1, 1, -1, 1, -1, 1, 1, -1)

C_12,45, C_12,34, C_23,45, C_23,15, C_34,15, C_34,12, C_45,23, C_45,12, C_15,34, C_15,23

C_12,45, C_12,35, C_23,45, C_23,14, C_35,14, C_35,12, C_45,23, C_45,12, C_14,35, C_14,23

C_25,14, C_25,13, C_23,14, C_23,45, C_13,45, C_13,25, C_14,23, C_14,25, C_45,13, C_45,23

C_24,15, C_24,13, C_23,15, C_23,45, C_13,45, C_13,24, C_15,23, C_15,24, C_45,13, C_45,23

III

(1, -1, -1, 1, 1, -1, -1, -1, 3, -1)

(1, -1, -1, -1, -1, 3, 1, 1, -1, -1)

(1, -1, -1, 1, 1, -1, -1, -1, 3, -1)

(1, -1, -1, -1, -1, 3, 1, 1, -1, -1)

C_23,45, C_23,15, C_12,45, C_12,35, C_24,15, C_24,35, C_35,24, C_35,12, C_15,24, C_15,23, C_45,12, C_45,23

C_23,45, C_23,14, C_12,45, C_12,34, C_25,14, C_25,34, C_34,25, C_34,12, C_14,25, C_14,23, C_45,12, C_45,23

C_23,45, C_23,15, C_13,45, C_13,25, C_34,15, C_34,25, C_25,34, C_25,13, C_15,34, C_15,23, C_45,13, C_45,23

C_23,45, C_23,14, C_13,45, C_13,24, C_35,14, C_35,24, C_24,35, C_24,13, C_14,35, C_14,23, C_45,13, C_45,23