dg_label
"P1            " "P-1           " "P211          " "Pm11          "
"Pb11          " "P2/m 11       " "P2/b 11       " "P112          "
"P1121         " "C112          " "P11m          " "P11a          "
"C11m          " "P11 2/m       " "P11 21/m      " "C11 2/m       "
"P11 2/a       " "P11 21/a      " "P222          " "P2221         "
"P22121        " "C222          " "P2mm          " "Pmm2          "
"Pm21a         " "Pbm21         " "Pbb2          " "P2ma          "
"Pam2          " "Pab21         " "Pnb2          " "Pnm21         "
"P2ba          " "C2mm          " "Cmm2          " "Cam2          "
"P2/m 2/m 2/m  " "P2/a 2/m 2/a  " "P2/n 2/b 2/a  " "P2/m 21/m 2/a "
"P2/a 21/m 2/m " "P2/n 2/m 21/a " "P2/a 2/b 21/a " "P2/m 21/b 21/a"
"P2/a 21/b 21/m" "P2/n 21/m 21/m" "C2/m 2/m 2/m  " "C2/a 2/m 2/m  "
"P4            " "P-4           " "P4/m          " "P4/n          "
"P422          " "P4212         " "P4mm          " "P4bm          "
"P-42m         " "P-421m        " "P-4m2         " "P-4b2         "
"P4/m 2/m 2/m  " "P4/n 2/b 2/m  " "P4/m 21/b 2/m " "P4/n 21/m 2/m "
"P3            " "P-3           " "P312          " "P321          "
"P3m1          " "P31m          " "P-31 2/m      " "P-3 2/m 1     "
"P6            " "P-6           " "P6/m          " "P622          "
"P6mm          " "P-6m2         " "P-62m         " "P6/m 2/m 2/m  " 
idg_point_group
1 2 3 4 4 5 5 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8
8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 13 13 14 14 14 14 15 15 15 15 16 17 18 18
19 19 20 20 21 22 23 24 25 26 26 27 
idg_lattice
1 1 1 1 1 1 1 2 2 3 2 2 3 2 2 3 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2
2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5
5 5 
dg_lattice_label
"OP" "RP" "RC" "SP" "HP" 
idg_space
1 2 3 6 7 10 13 3 4 5 6 7 8 10 11 12 13 14 16 17 18 21 25 25 26 26 27 28 28 29
30 31 32 35 38 39 47 49 50 51 51 53 54 55 57 59 65 67 75 81 83 85 89 90 99 100
111 113 115 117 123 125 127 129 143 147 149 150 156 157 162 164 168 174 175
177 183 187 189 191 
idg_space_rotate
1 1 14 14 14 14 14 7 7 7 7 20 7 7 7 7 20 20 1 5 1 1 1 5 22 19 19 1 19 19 5 19
1 1 15 15 1 9 1 19 1 19 9 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 49 49 49
49 49 49 49 49 49 49 49 49 49 49 49 49 
idg_elements
0 0 0 1 1 0 0 0 1 1 0 0 0 1 25 0 0 0 1 1 0 0 0 1 4 0 0 0 1 1 0 0 0 1 28 0 0 0
1 1 0 1 0 2 28 0 0 0 1 1 0 0 0 1 4 0 0 0 1 25 0 0 0 1 28 0 0 0 1 1 0 1 0 2 4 0
0 0 1 25 0 1 0 2 28 0 0 0 1 1 0 0 0 1 3 0 0 0 1 1 0 1 0 2 3 0 0 0 1 1 0 0 0 1
3 0 0 0 1 1 0 0 0 1 27 0 0 0 1 1 1 0 0 2 27 0 0 0 1 1 0 0 0 1 27 0 0 0 1 1 0 0
0 1 3 0 0 0 1 25 0 0 0 1 27 0 0 0 1 1 0 1 0 2 3 0 0 0 1 25 0 1 0 2 27 0 0 0 1
1 0 0 0 1 3 0 0 0 1 25 0 0 0 1 27 0 0 0 1 1 1 0 0 2 3 0 0 0 1 25 1 0 0 2 27 0
0 0 1 1 1 1 0 2 3 0 0 0 1 25 1 1 0 2 27 0 0 0 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1
4 0 0 0 1 1 0 0 0 1 4 0 1 0 2 2 0 1 0 2 3 0 0 0 1 1 1 1 0 2 2 1 1 0 2 3 0 0 0
1 4 0 0 0 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 1 0 0 0 1 4 0 0 0 1 26 0 0
0 1 27 0 0 0 1 1 0 0 0 1 3 0 0 0 1 28 0 0 0 1 26 0 0 0 1 1 1 0 0 2 2 0 0 0 1
28 1 0 0 2 27 0 0 0 1 1 0 1 0 2 3 0 0 0 1 26 0 1 0 2 28 0 0 0 1 1 0 0 0 1 3 0
1 0 2 26 0 1 0 2 28 0 0 0 1 1 0 0 0 1 4 1 0 0 2 26 1 0 0 2 27 0 0 0 1 1 0 0 0
1 3 1 0 0 2 26 1 0 0 2 28 0 0 0 1 1 0 1 0 2 3 1 1 0 2 26 1 0 0 2 28 0 0 0 1 1
0 0 0 1 3 1 1 0 2 28 1 1 0 2 26 0 0 0 1 1 1 1 0 2 3 0 0 0 1 26 1 1 0 2 28 0 0
0 1 1 0 0 0 1 4 1 1 0 2 26 1 1 0 2 27 0 0 0 1 1 0 0 0 1 4 0 0 0 1 26 0 0 0 1
27 0 0 0 1 1 0 0 0 1 3 0 0 0 1 26 0 0 0 1 28 0 0 0 1 1 0 0 0 1 3 1 1 0 2 26 1
1 0 2 28 0 0 0 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 25 0 0 0 1 26 0 0 0 1
27 0 0 0 1 28 0 0 0 1 1 1 0 0 2 3 1 0 0 2 4 0 0 0 1 2 0 0 0 1 25 1 0 0 2 27 1
0 0 2 28 0 0 0 1 26 0 0 0 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1 4 1 1 0 2 25 1 1 0 2
26 1 1 0 2 27 1 1 0 2 28 0 0 0 1 1 1 0 0 2 2 0 0 0 1 4 1 0 0 2 3 0 0 0 1 25 1
0 0 2 26 0 0 0 1 28 1 0 0 2 27 0 0 0 1 1 1 0 0 2 2 0 0 0 1 3 1 0 0 2 4 0 0 0 1
25 1 0 0 2 26 0 0 0 1 27 1 0 0 2 28 0 0 0 1 1 0 0 0 1 2 1 1 0 2 4 1 1 0 2 3 0
0 0 1 25 0 0 0 1 26 1 1 0 2 28 1 1 0 2 27 0 0 0 1 1 1 1 0 2 3 1 0 0 2 4 0 1 0
2 2 0 0 0 1 25 1 1 0 2 27 1 0 0 2 28 0 1 0 2 26 0 0 0 1 1 1 1 0 2 2 1 1 0 2 3
0 0 0 1 4 0 0 0 1 25 1 1 0 2 26 1 1 0 2 27 0 0 0 1 28 0 0 0 1 1 1 0 0 2 4 1 1
0 2 2 0 1 0 2 3 0 0 0 1 25 1 0 0 2 28 1 1 0 2 26 0 1 0 2 27 0 0 0 1 1 1 1 0 2
2 1 1 0 2 3 0 0 0 1 4 1 1 0 2 25 0 0 0 1 26 0 0 0 1 27 1 1 0 2 28 0 0 0 1 1 0
0 0 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 25 0 0 0 1 26 0 0 0 1 27 0 0 0 1 28 0 0 0
1 1 0 0 0 1 2 1 1 0 2 3 1 1 0 2 4 0 0 0 1 25 0 0 0 1 26 1 1 0 2 27 1 1 0 2 28
0 0 0 1 1 0 0 0 1 4 0 0 0 1 14 0 0 0 1 15 0 0 0 1 1 0 0 0 1 4 0 0 0 1 38 0 0 0
1 39 0 0 0 1 1 0 0 0 1 4 0 0 0 1 14 0 0 0 1 15 0 0 0 1 25 0 0 0 1 28 0 0 0 1
38 0 0 0 1 39 0 0 0 1 1 0 0 0 1 4 1 1 0 2 14 1 1 0 2 15 1 1 0 2 25 1 1 0 2 28
0 0 0 1 38 0 0 0 1 39 0 0 0 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 13 0 0 0
1 14 0 0 0 1 15 0 0 0 1 16 0 0 0 1 1 1 1 0 2 2 1 1 0 2 3 0 0 0 1 4 0 0 0 1 13
1 1 0 2 14 1 1 0 2 15 0 0 0 1 16 0 0 0 1 1 0 0 0 1 4 0 0 0 1 14 0 0 0 1 15 0 0
0 1 26 0 0 0 1 27 0 0 0 1 37 0 0 0 1 40 0 0 0 1 1 0 0 0 1 4 0 0 0 1 14 0 0 0 1
15 1 1 0 2 26 1 1 0 2 27 1 1 0 2 37 1 1 0 2 40 0 0 0 1 1 0 0 0 1 2 0 0 0 1 3 0
0 0 1 4 0 0 0 1 37 0 0 0 1 38 0 0 0 1 39 0 0 0 1 40 0 0 0 1 1 1 1 0 2 2 1 1 0
2 3 0 0 0 1 4 1 1 0 2 37 0 0 0 1 38 0 0 0 1 39 1 1 0 2 40 0 0 0 1 1 0 0 0 1 4
0 0 0 1 13 0 0 0 1 16 0 0 0 1 26 0 0 0 1 27 0 0 0 1 38 0 0 0 1 39 0 0 0 1 1 0
0 0 1 4 1 1 0 2 13 1 1 0 2 16 1 1 0 2 26 1 1 0 2 27 0 0 0 1 38 0 0 0 1 39 0 0
0 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 13 0 0 0 1 14 0 0 0 1 15 0 0 0 1
16 0 0 0 1 25 0 0 0 1 26 0 0 0 1 27 0 0 0 1 28 0 0 0 1 37 0 0 0 1 38 0 0 0 1
39 0 0 0 1 40 0 0 0 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 13 0 0 0 1 14 0
0 0 1 15 0 0 0 1 16 1 1 0 2 25 1 1 0 2 26 1 1 0 2 27 1 1 0 2 28 1 1 0 2 37 1 1
0 2 38 1 1 0 2 39 1 1 0 2 40 0 0 0 1 1 1 1 0 2 2 1 1 0 2 3 0 0 0 1 4 1 1 0 2
13 0 0 0 1 14 0 0 0 1 15 1 1 0 2 16 0 0 0 1 25 1 1 0 2 26 1 1 0 2 27 0 0 0 1
28 1 1 0 2 37 0 0 0 1 38 0 0 0 1 39 1 1 0 2 40 0 0 0 1 1 1 1 0 2 2 1 1 0 2 3 0
0 0 1 4 0 0 0 1 13 1 1 0 2 14 1 1 0 2 15 0 0 0 1 16 1 1 0 2 25 0 0 0 1 26 0 0
0 1 27 1 1 0 2 28 1 1 0 2 37 0 0 0 1 38 0 0 0 1 39 1 1 0 2 40 0 0 0 1 49 0 0 0
1 51 0 0 0 1 53 0 0 0 1 49 0 0 0 1 51 0 0 0 1 53 0 0 0 1 61 0 0 0 1 63 0 0 0 1
65 0 0 0 1 49 0 0 0 1 51 0 0 0 1 53 0 0 0 1 56 0 0 0 1 58 0 0 0 1 60 0 0 0 1
49 0 0 0 1 51 0 0 0 1 53 0 0 0 1 55 0 0 0 1 57 0 0 0 1 59 0 0 0 1 49 0 0 0 1
51 0 0 0 1 53 0 0 0 1 67 0 0 0 1 69 0 0 0 1 71 0 0 0 1 49 0 0 0 1 51 0 0 0 1
53 0 0 0 1 68 0 0 0 1 70 0 0 0 1 72 0 0 0 1 49 0 0 0 1 51 0 0 0 1 53 0 0 0 1
56 0 0 0 1 58 0 0 0 1 60 0 0 0 1 61 0 0 0 1 63 0 0 0 1 65 0 0 0 1 68 0 0 0 1
70 0 0 0 1 72 0 0 0 1 49 0 0 0 1 51 0 0 0 1 53 0 0 0 1 55 0 0 0 1 57 0 0 0 1
59 0 0 0 1 61 0 0 0 1 63 0 0 0 1 65 0 0 0 1 67 0 0 0 1 69 0 0 0 1 71 0 0 0 1
49 0 0 0 1 50 0 0 0 1 51 0 0 0 1 52 0 0 0 1 53 0 0 0 1 54 0 0 0 1 49 0 0 0 1
51 0 0 0 1 53 0 0 0 1 62 0 0 0 1 64 0 0 0 1 66 0 0 0 1 49 0 0 0 1 50 0 0 0 1
51 0 0 0 1 52 0 0 0 1 53 0 0 0 1 54 0 0 0 1 61 0 0 0 1 62 0 0 0 1 63 0 0 0 1
64 0 0 0 1 65 0 0 0 1 66 0 0 0 1 49 0 0 0 1 50 0 0 0 1 51 0 0 0 1 52 0 0 0 1
53 0 0 0 1 54 0 0 0 1 55 0 0 0 1 56 0 0 0 1 57 0 0 0 1 58 0 0 0 1 59 0 0 0 1
60 0 0 0 1 49 0 0 0 1 50 0 0 0 1 51 0 0 0 1 52 0 0 0 1 53 0 0 0 1 54 0 0 0 1
67 0 0 0 1 68 0 0 0 1 69 0 0 0 1 70 0 0 0 1 71 0 0 0 1 72 0 0 0 1 49 0 0 0 1
51 0 0 0 1 53 0 0 0 1 56 0 0 0 1 58 0 0 0 1 60 0 0 0 1 62 0 0 0 1 64 0 0 0 1
66 0 0 0 1 67 0 0 0 1 69 0 0 0 1 71 0 0 0 1 49 0 0 0 1 51 0 0 0 1 53 0 0 0 1
55 0 0 0 1 57 0 0 0 1 59 0 0 0 1 62 0 0 0 1 64 0 0 0 1 66 0 0 0 1 68 0 0 0 1
70 0 0 0 1 72 0 0 0 1 49 0 0 0 1 50 0 0 0 1 51 0 0 0 1 52 0 0 0 1 53 0 0 0 1
54 0 0 0 1 55 0 0 0 1 56 0 0 0 1 57 0 0 0 1 58 0 0 0 1 59 0 0 0 1 60 0 0 0 1
61 0 0 0 1 62 0 0 0 1 63 0 0 0 1 64 0 0 0 1 65 0 0 0 1 66 0 0 0 1 67 0 0 0 1
68 0 0 0 1 69 0 0 0 1 70 0 0 0 1 71 0 0 0 1 72 0 0 0 1 1 0 0 0 1 25 0 0 0 1 4
0 0 0 1 28 0 1 0 2 28 0 0 0 1 4 0 0 0 1 25 0 1 0 2 4 0 0 0 1 25 0 0 0 1 3 0 1
0 2 3 0 0 0 1 3 0 0 0 1 27 1 0 0 2 27 0 0 0 1 27 0 0 0 1 3 0 0 0 1 25 0 1 0 2
3 0 0 0 1 25 0 0 0 1 3 0 0 0 1 25 1 0 0 2 3 0 0 0 1 25 1 1 0 2 3 0 0 0 1 25 0
0 0 1 4 0 0 0 1 2 0 1 0 2 3 0 0 0 1 4 0 0 0 1 4 1 1 0 2 2 0 0 0 1 4 0 0 0 1 2
0 0 0 1 4 0 0 0 1 26 0 0 0 1 3 0 0 0 1 28 1 0 0 2 2 0 0 0 1 28 0 1 0 2 3 0 0 0
1 26 0 0 0 1 3 0 1 0 2 26 0 0 0 1 4 1 0 0 2 26 0 0 0 1 3 1 0 0 2 26 0 1 0 2 3
1 1 0 2 26 0 0 0 1 3 1 1 0 2 28 1 1 0 2 3 0 0 0 1 26 0 0 0 1 4 1 1 0 2 26 0 0
0 1 4 0 0 0 1 26 0 0 0 1 3 0 0 0 1 28 0 0 0 1 3 1 1 0 2 28 0 0 0 1 4 0 0 0 1 2
0 0 0 1 25 0 0 0 1 2 1 0 0 2 3 0 0 0 1 25 0 0 0 1 4 0 0 0 1 2 1 1 0 2 25 1 0 0
2 3 1 0 0 2 2 0 0 0 1 25 1 0 0 2 4 1 0 0 2 2 0 0 0 1 25 1 1 0 2 3 0 0 0 1 2 0
0 0 1 25 0 1 0 2 2 1 1 0 2 3 0 0 0 1 25 0 0 0 1 4 1 1 0 2 2 0 0 0 1 25 0 1 0 2
3 1 0 0 2 4 0 0 0 1 25 0 0 0 1 4 1 1 0 2 2 1 1 0 2 25 0 0 0 1 4 0 0 0 1 2 0 0
0 1 25 1 1 0 2 4 0 0 0 1 2 0 0 0 1 25 0 0 0 1 14 0 0 0 1 38 0 0 0 1 14 0 0 0 1
25 1 1 0 2 14 1 1 0 2 25 0 0 0 1 14 0 0 0 1 2 1 1 0 2 14 1 1 0 2 2 0 0 0 1 14
0 0 0 1 26 0 0 0 1 14 1 1 0 2 26 0 0 0 1 38 0 0 0 1 2 0 0 0 1 38 1 1 0 2 2 0 0
0 1 38 0 0 0 1 16 0 0 0 1 38 1 1 0 2 16 0 0 0 1 14 0 0 0 1 2 0 0 0 1 25 0 0 0
1 14 0 0 0 1 2 1 1 0 2 25 0 0 0 1 14 1 1 0 2 2 0 0 0 1 25 1 1 0 2 14 1 1 0 2 2
1 1 0 2 25 0 0 0 1 51 0 0 0 1 63 0 0 0 1 51 0 0 0 1 58 0 0 0 1 51 0 0 0 1 55 0
0 0 1 51 0 0 0 1 67 0 0 0 1 51 0 0 0 1 70 0 0 0 1 63 0 0 0 1 58 0 0 0 1 63 0 0
0 1 55 0 0 0 1 50 0 0 0 1 62 0 0 0 1 50 0 0 0 1 61 0 0 0 1 50 0 0 0 1 58 0 0 0
1 50 0 0 0 1 70 0 0 0 1 62 0 0 0 1 58 0 0 0 1 62 0 0 0 1 55 0 0 0 1 50 0 0 0 1
58 0 0 0 1 61 
idg_elements_count
1 2 2 2 2 4 4 2 2 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8
8 8 8 8 8 8 8 8 8 4 4 8 8 8 8 8 8 8 8 8 8 16 16 16 16 3 6 6 6 6 6 12 12 6 6 12
12 12 12 12 24 
idg_elements_pointer
1 2 4 6 8 10 14 18 20 22 24 26 28 30 34 38 42 46 50 54 58 62 66 70 74 78 82 86
90 94 98 102 106 110 114 118 122 130 138 146 154 162 170 178 186 194 202 210
218 222 226 234 242 250 258 266 274 282 290 298 306 322 338 354 370 373 379
385 391 397 403 415 427 433 439 451 463 475 487 499 
idg_gen_count
1 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3
3 3 3 3 3 3 3 3 3 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 1 1 2 2 2 2 2 2 1 1 2 2 2 2
2 3 
idg_gen_pointer
523 524 525 526 527 528 530 532 533 534 535 536 537 538 540 542 544 546 548
550 552 554 556 558 560 562 564 566 568 570 572 574 576 578 580 582 584 587
590 593 596 599 602 605 608 611 614 617 620 621 622 624 626 628 630 632 634
636 638 640 642 645 648 651 654 655 656 658 660 662 664 666 668 669 670 672
674 676 678 680 
idg_lattice_conv
1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0
0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 -1 0 1 1 0
0 0 1 1 1 0 -1 1 0 0 0 2 1 -1 0 1 1 0 0 0 1 1 1 0 -1 1 0 0 0 2 1 0 0 0 1 0 0 0
1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0
0 0 1 0 0 0 1 2 -1 0 -1 2 0 0 0 1 2 1 0 1 2 0 0 0 3 
idg_lattice_conv_denom
1 1 1 1 2 2 1 1 1 3 
end
