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List of Space Group Settings Used in Matching


The list below is based on the table of Ralf Grosse-Kunstleve as used in his SgInfo routines.

A typical space group entry in a CIF would appear as,

_symmetry_space_group_H-M    'P 21/c'
_symmetry_space_group_Hall   '-p 2ybc'
This is identical to

_symmetry_space_group_H-M    P_21/c
_symmetry_space_group_Hall   -p_2ybc
i.e. An underscore (_) presents a space. It is preferable to enter the full Hermann-Mauguin space group which in this case would be,

_symmetry_space_group_H-M     'P 1 21/c 1'
_symmetry_space_group_Hall    '-p 2ybc'
For cases where the Hermann-Mauguin space group is non-unique, e.g. 'P c n a', then it is preferable that the Hall symbol is also included.
i.e.
_symmetry_space_group_H-M      p_c_n_a
_symmetry_space_group_Hall     p_2_2_-1ac
or
_symmetry_space_group_H-M      p_c_n_a
_symmetry_space_group_Hall     -p_2a_2c
n.b. The space group is also checked for consistency with the provided symmetry equivalent positions (_symmetry_equiv_pos_as_xyz).
Space Group     Hermann-Mauguin     Hall Space
ID              Space Group         Group
1               p_1                 p_1
2               p_-1                -p_1
2:b             c_-1                -c_1
3:b             p_1_2_1             p_2y
3:b             p_2                 p_2y
3:c             p_1_1_2             p_2
3:a             p_2_1_1             p_2x
4:b             p_1_21_1            p_2yb
4:b             p_1_21_1            p_2y1
4:b             p_21                p_2yb
4:c             p_1_1_21            p_2c
4:c             p_1_1_21            p_21
4:a             p_21_1_1            p_2xa
4:a             p_21_1_1            p_2x1
5:b1            c_1_2_1             c_2y
5:b1            c_2                 c_2y
5:b2            a_1_2_1             a_2y
5:b3            i_1_2_1             i_2y
5:b3            i_2                 i_2y
5:c1            a_1_1_2             a_2
5:c2            b_1_1_2             b_2
5:c3            i_1_1_2             i_2
5:a1            b_2_1_1             b_2x
5:a2            c_2_1_1             c_2x
5:a3            i_2_1_1             i_2x
6:b             p_1_m_1             p_-2y
6:b             p_m                 p_-2y
6:c             p_1_1_m             p_-2
6:a             p_m_1_1             p_-2x
7:b1            p_1_c_1             p_-2yc
7:b1            p_c                 p_-2yc
7:b2            p_1_n_1             p_-2yac
7:b2            p_n                 p_-2yac
7:b3            p_1_a_1             p_-2ya
7:b3            p_a                 p_-2ya
7:c1            p_1_1_a             p_-2a
7:c2            p_1_1_n             p_-2ab
7:c3            p_1_1_b             p_-2b
7:a1            p_b_1_1             p_-2xb
7:a2            p_n_1_1             p_-2xbc
7:a3            p_c_1_1             p_-2xc
8:b1            c_1_m_1             c_-2y
8:b1            c_m                 c_-2y
8:b2            a_1_m_1             a_-2y
8:b3            i_1_m_1             i_-2y
8:b3            i_m                 i_-2y
8:c1            a_1_1_m             a_-2
8:c2            b_1_1_m             b_-2
8:c3            i_1_1_m             i_-2
8:a1            b_m_1_1             b_-2x
8:a2            c_m_1_1             c_-2x
8:a3            i_m_1_1             i_-2x
9:b1            c_1_c_1             c_-2yc
9:b1            c_c                 c_-2yc
9:b2            a_1_n_1             a_-2yab             
9:b3            i_1_a_1             i_-2ya
9:b3            i_a                 i_-2ya              
9:-b1           a_1_a_1             a_-2ya
9:-b2           c_1_n_1             c_-2yac             
9:-b3           i_1_c_1             i_-2yc
9:c1            a_1_1_a             a_-2a
9:c2            b_1_1_n             b_-2ab              
9:c3            i_1_1_b             i_-2b
9:-c1           b_1_1_b             b_-2b
9:-c2           a_1_1_n             a_-2ab              
9:-c3           i_1_1_a             i_-2a
9:a1            b_b_1_1             b_-2xb
9:a2            c_n_1_1             c_-2xac             
9:a3            i_c_1_1             i_-2xc
9:-a1           c_c_1_1             c_-2xc
9:-a2           b_n_1_1             b_-2xab             
9:-a3           i_b_1_1             i_-2xb
10:b            p_1_2/m_1           -p_2y
10:b            p_2/m               -p_2y
10:c            p_1_1_2/m           -p_2
10:a            p_2/m_1_1           -p_2x
11:b            p_1_21/m_1          -p_2yb
11:b            p_1_21/m_1          -p_2y1
11:b            p_21/m              -p_2yb
11:c            p_1_1_21/m          -p_2c
11:c            p_1_1_21/m          -p_21
11:a            p_21/m_1_1          -p_2xa
11:a            p_21/m_1_1          -p_2x1
12:b1           c_1_2/m_1           -c_2y
12:b1           c_2/m               -c_2y
12:b2           a_1_2/m_1           -a_2y
12:b3           i_1_2/m_1           -i_2y
12:b3           i_2/m               -i_2y
12:c1           a_1_1_2/m           -a_2
12:c2           b_1_1_2/m           -b_2
12:c3           i_1_1_2/m           -i_2
12:a1           b_2/m_1_1           -b_2x
12:a2           c_2/m_1_1           -c_2x
12:a3           i_2/m_1_1           -i_2x
13:b1           p_1_2/c_1           -p_2yc
13:b1           p_2/c               -p_2yc
13:b2           p_1_2/n_1           -p_2yac
13:b2           p_2/n               -p_2yac
13:b3           p_1_2/a_1           -p_2ya
13:b3           p_2/a               -p_2ya
13:c1           p_1_1_2/a           -p_2a
13:c2           p_1_1_2/n           -p_2ab
13:c3           p_1_1_2/b           -p_2b
13:a1           p_2/b_1_1           -p_2xb
13:a2           p_2/n_1_1           -p_2xbc
13:a3           p_2/c_1_1           -p_2xc
14:b1           p_1_21/c_1          -p_2ybc
14:b1           p_21/c              -p_2ybc
14:b2           p_1_21/n_1          -p_2yn
14:b2           p_21/n              -p_2yn
14:b3           p_1_21/a_1          -p_2yab
14:b3           p_21/a              -p_2yab
14:c1           p_1_1_21/a          -p_2ac
14:c2           p_1_1_21/n          -p_2n
14:c3           p_1_1_21/b          -p_2bc
14:a1           p_21/b_1_1          -p_2xab
14:a2           p_21/n_1_1          -p_2xn
14:a3           p_21/c_1_1          -p_2xac
15:b1           c_1_2/c_1           -c_2yc
15:b1           c_2/c               -c_2yc
15:b2           a_1_2/n_1           -a_2yab             
15:b3           i_1_2/a_1           -i_2ya
15:b3           i_2/a               -i_2ya
15:-b1          a_1_2/a_1           -a_2ya
15:-b2          c_1_2/n_1           -c_2yac             
15:-b2          c_2/n               -c_2yac             
15:-b3          i_1_2/c_1           -i_2yc
15:-b3          i_2/c               -i_2yc
15:c1           a_1_1_2/a           -a_2a
15:c2           b_1_1_2/n           -b_2ab              
15:c3           i_1_1_2/b           -i_2b
15:-c1          b_1_1_2/b           -b_2b
15:-c2          a_1_1_2/n           -a_2ab              
15:-c3          i_1_1_2/a           -i_2a
15:a1           b_2/b_1_1           -b_2xb
15:a2           c_2/n_1_1           -c_2xac             
15:a3           i_2/c_1_1           -i_2xc
15:-a1          c_2/c_1_1           -c_2xc
15:-a2          b_2/n_1_1           -b_2xab             
15:-a3          i_2/b_1_1           -i_2xb
16              p_2_2_2             p_2_2
17              p_2_2_21            p_2c_2
17              p_2_2_21            p_21_2
17:cab          p_21_2_2            p_2a_2a
17:bca          p_2_21_2            p_2_2b
18              p_21_21_2           p_2_2ab
18:cab          p_2_21_21           p_2bc_2
18:bca          p_21_2_21           p_2ac_2ac
19              p_21_21_21          p_2ac_2ab
20              c_2_2_21            c_2c_2
20              c_2_2_21            c_21_2
20:cab          a_21_2_2            a_2a_2a
20:cab          a_21_2_2            a_2a_21
20:bca          b_2_21_2            b_2_2b
21              c_2_2_2             c_2_2
21:cab          a_2_2_2             a_2_2
21:bca          b_2_2_2             b_2_2
22              f_2_2_2             f_2_2
23              i_2_2_2             i_2_2
24              i_21_21_21          i_2b_2c
25              p_m_m_2             p_2_-2
25:cab          p_2_m_m             p_-2_2
25:bca          p_m_2_m             p_-2_-2
26              p_m_c_21            p_2c_-2
26              p_m_c_21            p_21_-2
26:ba-c         p_c_m_21            p_2c_-2c
26:ba-c         p_c_m_21            p_21_-2c
26:cab          p_21_m_a            p_-2a_2a
26:-cba         p_21_a_m            p_-2_2a
26:bca          p_b_21_m            p_-2_-2b
26:a-cb         p_m_21_b            p_-2b_-2
27              p_c_c_2             p_2_-2c
27:cab          p_2_a_a             p_-2a_2
27:bca          p_b_2_b             p_-2b_-2b
28              p_m_a_2             p_2_-2a
28              p_m_a_2             p_2_-21
28:ba-c         p_b_m_2             p_2_-2b
28:cab          p_2_m_b             p_-2b_2
28:-cba         p_2_c_m             p_-2c_2
28:-cba         p_2_c_m             p_-21_2
28:bca          p_c_2_m             p_-2c_-2c
28:a-cb         p_m_2_a             p_-2a_-2a
29              p_c_a_21            p_2c_-2ac
29:ba-c         p_b_c_21            p_2c_-2b
29:cab          p_21_a_b            p_-2b_2a
29:-cba         p_21_c_a            p_-2ac_2a
29:bca          p_c_21_b            p_-2bc_-2c
29:a-cb         p_b_21_a            p_-2a_-2ab
30              p_n_c_2             p_2_-2bc
30:ba-c         p_c_n_2             p_2_-2ac
30:cab          p_2_n_a             p_-2ac_2
30:-cba         p_2_a_n             p_-2ab_2
30:bca          p_b_2_n             p_-2ab_-2ab
30:a-cb         p_n_2_b             p_-2bc_-2bc
31              p_m_n_21            p_2ac_-2
31:ba-c         p_n_m_21            p_2bc_-2bc
31:cab          p_21_m_n            p_-2ab_2ab
31:-cba         p_21_n_m            p_-2_2ac
31:bca          p_n_21_m            p_-2_-2bc
31:a-cb         p_m_21_n            p_-2ab_-2
32              p_b_a_2             p_2_-2ab
32:cab          p_2_c_b             p_-2bc_2
32:bca          p_c_2_a             p_-2ac_-2ac
33              p_n_a_21            p_2c_-2n
33              p_n_a_21            p_21_-2n
33:ba-c         p_b_n_21            p_2c_-2ab
33:ba-c         p_b_n_21            p_21_-2ab
33:cab          p_21_n_b            p_-2bc_2a
33:cab          p_21_n_b            p_-2bc_21
33:-cba         p_21_c_n            p_-2n_2a
33:-cba         p_21_c_n            p_-2n_21
33:bca          p_c_21_n            p_-2n_-2ac
33:a-cb         p_n_21_a            p_-2ac_-2n
34              p_n_n_2             p_2_-2n
34:cab          p_2_n_n             p_-2n_2
34:bca          p_n_2_n             p_-2n_-2n
35              c_m_m_2             c_2_-2
35:cab          a_2_m_m             a_-2_2
35:bca          b_m_2_m             b_-2_-2
36              c_m_c_21            c_2c_-2
36              c_m_c_21            c_21_-2
36:ba-c         c_c_m_21            c_2c_-2c
36:ba-c         c_c_m_21            c_21_-2c
36:cab          a_21_m_a            a_-2a_2a
36:cab          a_21_m_a            a_-2a_21
36:-cba         a_21_a_m            a_-2_2a
36:-cba         a_21_a_m            a_-2_21
36:bca          b_b_21_m            b_-2_-2b
36:a-cb         b_m_21_b            b_-2b_-2
37              c_c_c_2             c_2_-2c
37:cab          a_2_a_a             a_-2a_2
37:bca          b_b_2_b             b_-2b_-2b
38              a_m_m_2             a_2_-2
38:ba-c         b_m_m_2             b_2_-2
38:cab          b_2_m_m             b_-2_2
38:-cba         c_2_m_m             c_-2_2
38:bca          c_m_2_m             c_-2_-2
38:a-cb         a_m_2_m             a_-2_-2
39              a_b_m_2             a_2_-2c
39:ba-c         b_m_a_2             b_2_-2a             
39:cab          b_2_c_m             b_-2a_2                  
39:-cba         c_2_m_b             c_-2a_2                  
39:bca          c_m_2_a             c_-2a_-2a           
39:a-cb         a_c_2_m             a_-2c_-2c
40              a_m_a_2             a_2_-2a
40:ba-c         b_b_m_2             b_2_-2b
40:cab          b_2_m_b             b_-2b_2
40:-cba         c_2_c_m             c_-2c_2
40:bca          c_c_2_m             c_-2c_-2c
40:a-cb         a_m_2_a             a_-2a_-2a
41              a_b_a_2             a_2_-2ab            
41:ba-c         b_b_a_2             b_2_-2ab            
41:cab          b_2_c_b             b_-2ab_2                 
41:-cba         c_2_c_b             c_-2ac_2                 
41:bca          c_c_2_a             c_-2ac_-2ac         
41:a-cb         a_c_2_a             a_-2ab_-2ab         
42              f_m_m_2             f_2_-2
42:cab          f_2_m_m             f_-2_2
42:bca          f_m_2_m             f_-2_-2
43              f_d_d_2             f_2_-2d
43:cab          f_2_d_d             f_-2d_2
43:bca          f_d_2_d             f_-2d_-2d
44              i_m_m_2             i_2_-2
44:cab          i_2_m_m             i_-2_2
44:bca          i_m_2_m             i_-2_-2
45              i_b_a_2             i_2_-2c
45:cab          i_2_c_b             i_-2a_2
45:bca          i_c_2_a             i_-2b_-2b
46              i_m_a_2             i_2_-2a
46:ba-c         i_b_m_2             i_2_-2b
46:cab          i_2_m_b             i_-2b_2
46:-cba         i_2_c_m             i_-2c_2
46:bca          i_c_2_m             i_-2c_-2c
46:a-cb         i_m_2_a             i_-2a_-2a
47              p_m_m_m             -p_2_2
48:1            p_n_n_n:1           p_2_2_-1n
48:2            p_n_n_n:2           -p_2ab_2bc
49              p_c_c_m             -p_2_2c
49:cab          p_m_a_a             -p_2a_2
49:bca          p_b_m_b             -p_2b_2b
50:1            p_b_a_n:1           p_2_2_-1ab
50:2            p_b_a_n:2           -p_2ab_2b
50:1cab         p_n_c_b:1           p_2_2_-1bc
50:2cab         p_n_c_b:2           -p_2b_2bc
50:1bca         p_c_n_a:1           p_2_2_-1ac
50:2bca         p_c_n_a:2           -p_2a_2c
51              p_m_m_a             -p_2a_2a
51:ba-c         p_m_m_b             -p_2b_2
51:cab          p_b_m_m             -p_2_2b
51:-cba         p_c_m_m             -p_2c_2c
51:bca          p_m_c_m             -p_2c_2
51:a-cb         p_m_a_m             -p_2_2a
52              p_n_n_a             -p_2a_2bc
52:ba-c         p_n_n_b             -p_2b_2n
52:cab          p_b_n_n             -p_2n_2b
52:-cba         p_c_n_n             -p_2ab_2c
52:bca          p_n_c_n             -p_2ab_2n
52:a-cb         p_n_a_n             -p_2n_2bc
53              p_m_n_a             -p_2ac_2
53:ba-c         p_n_m_b             -p_2bc_2bc
53:cab          p_b_m_n             -p_2ab_2ab
53:-cba         p_c_n_m             -p_2_2ac
53:bca          p_n_c_m             -p_2_2bc
53:a-cb         p_m_a_n             -p_2ab_2
54              p_c_c_a             -p_2a_2ac
54:ba-c         p_c_c_b             -p_2b_2c
54:cab          p_b_a_a             -p_2a_2b
54:-cba         p_c_a_a             -p_2ac_2c
54:bca          p_b_c_b             -p_2bc_2b
54:a-cb         p_b_a_b             -p_2b_2ab
55              p_b_a_m             -p_2_2ab
55:cab          p_m_c_b             -p_2bc_2
55:bca          p_c_m_a             -p_2ac_2ac
56              p_c_c_n             -p_2ab_2ac
56:cab          p_n_a_a             -p_2ac_2bc
56:bca          p_b_n_b             -p_2bc_2ab
57              p_b_c_m             -p_2c_2b
57:ba-c         p_c_a_m             -p_2c_2ac
57:cab          p_m_c_a             -p_2ac_2a
57:-cba         p_m_a_b             -p_2b_2a
57:bca          p_b_m_a             -p_2a_2ab
57:a-cb         p_c_m_b             -p_2bc_2c
58              p_n_n_m             -p_2_2n
58:cab          p_m_n_n             -p_2n_2
58:bca          p_n_m_n             -p_2n_2n
59:1            p_m_m_n:1           p_2_2ab_-1ab
59:2            p_m_m_n:2           -p_2ab_2a
59:1cab         p_n_m_m:1           p_2bc_2_-1bc
59:2cab         p_n_m_m:2           -p_2c_2bc
59:1bca         p_m_n_m:1           p_2ac_2ac_-1ac
59:2bca         p_m_n_m:2           -p_2c_2a
60              p_b_c_n             -p_2n_2ab
60:ba-c         p_c_a_n             -p_2n_2c
60:cab          p_n_c_a             -p_2a_2n
60:-cba         p_n_a_b             -p_2bc_2n
60:bca          p_b_n_a             -p_2ac_2b
60:a-cb         p_c_n_b             -p_2b_2ac
61              p_b_c_a             -p_2ac_2ab
61:ba-c         p_c_a_b             -p_2bc_2ac
62              p_n_m_a             -p_2ac_2n
62:ba-c         p_m_n_b             -p_2bc_2a
62:cab          p_b_n_m             -p_2c_2ab
62:-cba         p_c_m_n             -p_2n_2ac
62:bca          p_m_c_n             -p_2n_2a
62:a-cb         p_n_a_m             -p_2c_2n
63              c_m_c_m             -c_2c_2
63:ba-c         c_c_m_m             -c_2c_2c
63:cab          a_m_m_a             -a_2a_2a
63:-cba         a_m_a_m             -a_2_2a
63:bca          b_b_m_m             -b_2_2b
63:a-cb         b_m_m_b             -b_2b_2
64              c_m_c_a             -c_2ac_2                 
64:ba-c         c_c_m_b             -c_2ac_2ac          
64:cab          a_b_m_a             -a_2ab_2ab          
64:-cba         a_c_a_m             -a_2_2ab            
64:bca          b_b_c_m             -b_2_2ab            
64:a-cb         b_m_a_b             -b_2ab_2                 
65              c_m_m_m             -c_2_2
65:cab          a_m_m_m             -a_2_2
65:bca          b_m_m_m             -b_2_2
66              c_c_c_m             -c_2_2c
66:cab          a_m_a_a             -a_2a_2
66:bca          b_b_m_b             -b_2b_2b
67              c_m_m_a             -c_2a_2                  
67:ba-c         c_m_m_b             -c_2a_2a            
67:cab          a_b_m_m             -a_2b_2b            
67:-cba         a_c_m_m             -a_2_2c
67:bca          b_m_c_m             -b_2_2a             
67:a-cb         b_m_a_m             -b_2a_2                  
68:1            c_c_c_a:1           c_2_2_-1ac          
68:2            c_c_c_a:2           -c_2a_2ac           
68:1ba-c        c_c_c_b:1           c_2_2_-1ac          
68:2ba-c        c_c_c_b:2           -c_2a_2c            
68:1cab         a_b_a_a:1           a_2_2_-1ab          
68:2cab         a_b_a_a:2           -a_2a_2c
68:1-cba        a_c_a_a:1           a_2_2_-1ab          
68:2-cba        a_c_a_a:2           -a_2ab_2b           
68:1bca         b_b_c_b:1           b_2_2_-1ab          
68:2bca         b_b_c_b:2           -b_2ab_2b           
68:1a-cb        b_b_a_b:1           b_2_2_-1ab          
68:2a-cb        b_b_a_b:2           -b_2b_2ab           
69              f_m_m_m             -f_2_2
70:1            f_d_d_d:1           f_2_2_-1d
70:2            f_d_d_d:2           -f_2uv_2vw
71              i_m_m_m             -i_2_2
72              i_b_a_m             -i_2_2c
72:cab          i_m_c_b             -i_2a_2
72:bca          i_c_m_a             -i_2b_2b
73              i_b_c_a             -i_2b_2c
73:ba-c         i_c_a_b             -i_2a_2b
74              i_m_m_a             -i_2b_2
74:ba-c         i_m_m_b             -i_2a_2a
74:cab          i_b_m_m             -i_2c_2c
74:-cba         i_c_m_m             -i_2_2b
74:bca          i_m_c_m             -i_2_2a
74:a-cb         i_m_a_m             -i_2c_2
75              p_4                 p_4
76              p_41                p_4w
76              p_41                p_41
77              p_42                p_4c
77              p_42                p_42
78              p_43                p_4cw
78              p_43                p_43
79              i_4                 i_4
80              i_41                i_4bw
81              p_-4                p_-4
82              i_-4                i_-4
83              p_4/m               -p_4
84              p_42/m              -p_4c
84              p_42/m              -p_42
85:1            p_4/n:1             p_4ab_-1ab
85:2            p_4/n:2             -p_4a
86:1            p_42/n:1            p_4n_-1n
86:2            p_42/n:2            -p_4bc
87              i_4/m               -i_4
88:1            i_41/a:1            i_4bw_-1bw
88:2            i_41/a:2            -i_4ad
89              p_4_2_2             p_4_2
90              p_4_21_2            p_4ab_2ab
91              p_41_2_2            p_4w_2c
91              p_41_2_2            p_41_2c
92              p_41_21_2           p_4abw_2nw
93              p_42_2_2            p_4c_2
93              p_42_2_2            p_42_2
94              p_42_21_2           p_4n_2n
95              p_43_2_2            p_4cw_2c
95              p_43_2_2            p_43_2c
96              p_43_21_2           p_4nw_2abw
97              i_4_2_2             i_4_2
98              i_41_2_2            i_4bw_2bw
99              p_4_m_m             p_4_-2
100             p_4_b_m             p_4_-2ab
101             p_42_c_m            p_4c_-2c
101             p_42_c_m            p_42_-2c
102             p_42_n_m            p_4n_-2n
103             p_4_c_c             p_4_-2c
104             p_4_n_c             p_4_-2n
105             p_42_m_c            p_4c_-2
105             p_42_m_c            p_42_-2
106             p_42_b_c            p_4c_-2ab
106             p_42_b_c            p_42_-2ab
107             i_4_m_m             i_4_-2
108             i_4_c_m             i_4_-2c
109             i_41_m_d            i_4bw_-2
110             i_41_c_d            i_4bw_-2c
111             p_-4_2_m            p_-4_2
112             p_-4_2_c            p_-4_2c
113             p_-4_21_m           p_-4_2ab
114             p_-4_21_c           p_-4_2n
115             p_-4_m_2            p_-4_-2
116             p_-4_c_2            p_-4_-2c
117             p_-4_b_2            p_-4_-2ab
118             p_-4_n_2            p_-4_-2n
119             i_-4_m_2            i_-4_-2
120             i_-4_c_2            i_-4_-2c
121             i_-4_2_m            i_-4_2
122             i_-4_2_d            i_-4_2bw
123             p_4/m_m_m           -p_4_2
124             p_4/m_c_c           -p_4_2c
125:1           p_4/n_b_m:1         p_4_2_-1ab
125:2           p_4/n_b_m:2         -p_4a_2b
126:1           p_4/n_n_c:1         p_4_2_-1n
126:2           p_4/n_n_c:2         -p_4a_2bc
127             p_4/m_b_m           -p_4_2ab
128             p_4/m_n_c           -p_4_2n
129:1           p_4/n_m_m:1         p_4ab_2ab_-1ab
129:2           p_4/n_m_m:2         -p_4a_2a
130:1           p_4/n_c_c:1         p_4ab_2n_-1ab
130:2           p_4/n_c_c:2         -p_4a_2ac
131             p_42/m_m_c          -p_4c_2
132             p_42/m_c_m          -p_4c_2c
133:1           p_42/n_b_c:1        p_4n_2c_-1n
133:2           p_42/n_b_c:2        -p_4ac_2b
134:1           p_42/n_n_m:1        p_4n_2_-1n
134:2           p_42/n_n_m:2        -p_4ac_2bc
135             p_42/m_b_c          -p_4c_2ab
135             p_42/m_b_c          -p_42_2ab
136             p_42/m_n_m          -p_4n_2n
137:1           p_42/n_m_c:1        p_4n_2n_-1n
137:2           p_42/n_m_c:2        -p_4ac_2a
138:1           p_42/n_c_m:1        p_4n_2ab_-1n
138:2           p_42/n_c_m:2        -p_4ac_2ac
139             i_4/m_m_m           -i_4_2
140             i_4/m_c_m           -i_4_2c
141:1           i_41/a_m_d:1        i_4bw_2bw_-1bw
141:2           i_41/a_m_d:2        -i_4bd_2
142:1           i_41/a_c_d:1        i_4bw_2aw_-1bw
142:2           i_41/a_c_d:2        -i_4bd_2c
143             p_3                 p_3
144             p_31                p_31
145             p_32                p_32
146:h           r_3:h               r_3
146:r           r_3:r               p_3*
147             p_-3                -p_3
148:h           r_-3:h              -r_3
148:r           r_-3:r              -p_3*
149             p_3_1_2             p_3_2
150             p_3_2_1             p_3_2"
151             p_31_1_2            p_31_2_(0_0_4)      
152             p_31_2_1            p_31_2"
153             p_32_1_2            p_32_2_(0_0_2)      
154             p_32_2_1            p_32_2"
155:h           r_3_2:h             r_3_2"
155:r           r_3_2:r             p_3*_2
156             p_3_m_1             p_3_-2"
157             p_3_1_m             p_3_-2
158             p_3_c_1             p_3_-2"c
159             p_3_1_c             p_3_-2c
160:h           r_3_m:h             r_3_-2"
160:r           r_3_m:r             p_3*_-2
161:h           r_3_c:h             r_3_-2"c
161:r           r_3_c:r             p_3*_-2n
162             p_-3_1_m            -p_3_2
163             p_-3_1_c            -p_3_2c
164             p_-3_m_1            -p_3_2"
165             p_-3_c_1            -p_3_2"c
166:h           r_-3_m:h            -r_3_2"
166:r           r_-3_m:r            -p_3*_2
167:h           r_-3_c:h            -r_3_2"c
167:r           r_-3_c:r            -p_3*_2n
168             p_6                 p_6
169             p_61                p_61
170             p_65                p_65
171             p_62                p_62
172             p_64                p_64
173             p_63                p_6c
173             p_63                p_63
174             p_-6                p_-6
175             p_6/m               -p_6
176             p_63/m              -p_6c
176             p_63/m              -p_63
177             p_6_2_2             p_6_2
178             p_61_2_2            p_61_2_(0_0_5)      
179             p_65_2_2            p_65_2_(0_0_1)
180             p_62_2_2            p_62_2_(0_0_4)      
181             p_64_2_2            p_64_2_(0_0_2)      
182             p_63_2_2            p_6c_2c
182             p_63_2_2            p_63_2c
183             p_6_m_m             p_6_-2
184             p_6_c_c             p_6_-2c
185             p_63_c_m            p_6c_-2
185             p_63_c_m            p_63_-2
186             p_63_m_c            p_6c_-2c
186             p_63_m_c            p_63_-2c
187             p_-6_m_2            p_-6_2
188             p_-6_c_2            p_-6c_2
189             p_-6_2_m            p_-6_-2
190             p_-6_2_c            p_-6c_-2c
191             p_6/m_m_m           -p_6_2
192             p_6/m_c_c           -p_6_2c
193             p_63/m_c_m          -p_6c_2
193             p_63/m_c_m          -p_63_2
194             p_63/m_m_c          -p_6c_2c
194             p_63/m_m_c          -p_63_2c
195             p_2_3               p_2_2_3
196             f_2_3               f_2_2_3
197             i_2_3               i_2_2_3
198             p_21_3              p_2ac_2ab_3
199             i_21_3              i_2b_2c_3
200             p_m_-3              -p_2_2_3
201:1           p_n_-3:1            p_2_2_3_-1n
201:2           p_n_-3:2            -p_2ab_2bc_3
202             f_m_-3              -f_2_2_3
203:1           f_d_-3:1            f_2_2_3_-1d
203:2           f_d_-3:2            -f_2uv_2vw_3
204             i_m_-3              -i_2_2_3
205             p_a_-3              -p_2ac_2ab_3
206             i_a_-3              -i_2b_2c_3
207             p_4_3_2             p_4_2_3
208             p_42_3_2            p_4n_2_3
209             f_4_3_2             f_4_2_3
210             f_41_3_2            f_4d_2_3
211             i_4_3_2             i_4_2_3
212             p_43_3_2            p_4acd_2ab_3
213             p_41_3_2            p_4bd_2ab_3
214             i_41_3_2            i_4bd_2c_3
215             p_-4_3_m            p_-4_2_3
216             f_-4_3_m            f_-4_2_3
217             i_-4_3_m            i_-4_2_3
218             p_-4_3_n            p_-4n_2_3
219             f_-4_3_c            f_-4a_2_3           
220             i_-4_3_d            i_-4bd_2c_3
221             p_m_-3_m            -p_4_2_3
222:1           p_n_-3_n:1          p_4_2_3_-1n
222:2           p_n_-3_n:2          -p_4a_2bc_3
223             p_m_-3_n            -p_4n_2_3
224:1           p_n_-3_m:1          p_4n_2_3_-1n
224:2           p_n_-3_m:2          -p_4bc_2bc_3
225             f_m_-3_m            -f_4_2_3
226             f_m_-3_c            -f_4a_2_3           
227:1           f_d_-3_m:1          f_4d_2_3_-1d
227:2           f_d_-3_m:2          -f_4vw_2vw_3
228:1           f_d_-3_c:1          f_4d_2_3_-1ad       
228:2           f_d_-3_c:2          -f_4ud_2vw_3        
229             i_m_-3_m            -i_4_2_3
230             i_a_-3_d            -i_4bd_2c_3