(S^2xS^1)#2:           (1, 2, 2, 1)
(S^2twistS^1)#2:       (1, 2, 1 + Z_2, 0)
(S^2xS^1)#3:           (1, 3, 3, 1)
(S^2twistS^1)#3:       (1, 3, 2 + Z_2, 0)
(S^2xS^1)#4:           (1, 4, 4, 1)
(S^2twistS^1)#4:       (1, 4, 3 + Z_2, 0)
(S^2xS^1)#5:           (1, 5, 5, 1)
(S^2twistS^1)#5:       (1, 5, 4 + Z_2, 0)
(S^2xS^1)#6:           (1, 6, 6, 1)
(S^2twistS^1)#6:       (1, 6, 5 + Z_2, 0)
(S^2xS^1)#7:           (1, 7, 7, 1)
(S^2twistS^1)#7:       (1, 7, 6 + Z_2, 0)
(S^2xS^1)#8:           (1, 8, 8, 1)
(S^2twistS^1)#8:       (1, 8, 7 + Z_2, 0)
(S^2xS^1)#9:           (1, 9, 9, 1)
(S^2twistS^1)#9:       (1, 9, 8 + Z_2, 0)
(S^2xS^1)#10:          (1, 10, 10, 1)
(S^2twistS^1)#10:      (1, 10, 9 + Z_2, 0)
(S^2xS^1)#11:          (1, 11, 11, 1)
(S^2twistS^1)#11:      (1, 11, 10 + Z_2, 0)
(S^2xS^1)#12:          (1, 12, 12, 1)
(S^2twistS^1)#12:      (1, 12, 11 + Z_2, 0)
(S^2xS^1)#13:          (1, 13, 13, 1)
(S^2twistS^1)#13:      (1, 13, 12 + Z_2, 0)
(S^2xS^1)#14:          (1, 14, 14, 1)
(S^2twistS^1)#14:      (1, 14, 13 + Z_2, 0)
(S^2xS^1)#15:          (1, 15, 15, 1)
(S^2twistS^1)#15:      (1, 15, 14 + Z_2, 0)
(S^2xS^1)#16:          (1, 16, 16, 1)
(S^2twistS^1)#16:      (1, 16, 15 + Z_2, 0)
(S^2xS^1)#17:          (1, 17, 17, 1)
(S^2twistS^1)#17:      (1, 17, 16 + Z_2, 0)
(S^2xS^1)#18:          (1, 18, 18, 1)
(S^2twistS^1)#18:      (1, 18, 17 + Z_2, 0)
(S^2xS^1)#19:          (1, 19, 19, 1)
(S^2twistS^1)#19:      (1, 19, 18 + Z_2, 0)
(S^2xS^1)#20:          (1, 20, 20, 1)
(S^2twistS^1)#20:      (1, 20, 19 + Z_2, 0)
(S^2xS^1)#RP^3:        (1, 1 + Z_2, 1, 1)
(S^2twistS^1)#RP^3:    (1, 1 + Z_2, 0 + Z_2, 0)
(S^2xS^1)#2#RP^3:      (1, 2 + Z_2, 2, 1)
(S^2twistS^1)#2#RP^3:  (1, 2 + Z_2, 1 + Z_2, 0)
(S^2xS^1)#3#RP^3:      (1, 3 + Z_2, 3, 1)
(S^2twistS^1)#3#RP^3:  (1, 3 + Z_2, 2 + Z_2, 0)
(S^2xS^1)#4#RP^3:      (1, 4 + Z_2, 4, 1)
(S^2twistS^1)#4#RP^3:  (1, 4 + Z_2, 3 + Z_2, 0)
(S^2xS^1)#5#RP^3:      (1, 5 + Z_2, 5, 1)
(S^2twistS^1)#5#RP^3:  (1, 5 + Z_2, 4 + Z_2, 0)
(S^2xS^1)#L_3_1:       (1, 1 + Z_3, 1, 1)
(S^2twistS^1)#L_3_1:   (1, 1 + Z_3, 0 + Z_2, 0)
(S^2xS^1)#2#L_3_1:     (1, 2 + Z_3, 2, 1)
(S^2twistS^1)#2#L_3_1: (1, 2 + Z_3, 1 + Z_2, 0)
L_3_1#L_3_1:           (1, 0 + Z_3^2, 0, 1)
L_3_1#-L_3_1:          (1, 0 + Z_3^2, 0, 1)