### Test Ex3-1
Please input the symbol for the crystal-family: 1,1,1,1,1
The crystal-family 1,1,1,1,1 contains 1 homogeneously decomposable bravais-groups with
 1
 Z-classes of Bravais groups.
Do you want to calculate bravais-groups? (y or n): Please input a filename (stdout = standard output): Which bravais-groups should be printed? (a(ll) or s(election): #g1 f15 n1 c4% homogenously decomposable bravais-group
5	% generator
 -1  0  0  0  0
  0 -1  0  0  0
  0  0 -1  0  0
  0  0  0 -1  0
  0  0  0  0 -1
5d1	% invariant form
1 0 0 0 0 
5x0	% invariant form
 0
 1 0
 0 0 0
 0 0 0 0
 0 0 0 0 0
5x0	% invariant form
 0
 0 0
 1 0 0
 0 0 0 0
 0 0 0 0 0
5x0	% invariant form
 0
 0 0
 0 0 0
 1 0 0 0
 0 0 0 0 0
5x0	% invariant form
 0
 0 0
 0 0 0
 0 0 0 0
 1 0 0 0 0
5d1	% invariant form
0 1 0 0 0 
5x0	% invariant form
 0
 0 0
 0 1 0
 0 0 0 0
 0 0 0 0 0
5x0	% invariant form
 0
 0 0
 0 0 0
 0 1 0 0
 0 0 0 0 0
5x0	% invariant form
 0
 0 0
 0 0 0
 0 0 0 0
 0 1 0 0 0
5d1	% invariant form
0 0 1 0 0 
5x0	% invariant form
 0
 0 0
 0 0 0
 0 0 1 0
 0 0 0 0 0
5x0	% invariant form
 0
 0 0
 0 0 0
 0 0 0 0
 0 0 1 0 0
5d1	% invariant form
0 0 0 1 0 
5x0	% invariant form
 0
 0 0
 0 0 0
 0 0 0 0
 0 0 0 1 0
5d1	% invariant form
0 0 0 0 1 
5d0	% generator of normalizer
1
5d1	% generator of centralizer
-1 1 1 1 1 
5	% generator of centralizer
 -1 0 0 0 0
 -1 1 0 0 0
  0 0 1 0 0
  0 0 0 1 0
  0 0 0 0 1
5x0	% generator of centralizer
 0
 1 0
 0 0 1
 0 0 0 1
 0 0 0 0 1
5	% generator of centralizer
 0 0 0 0 1
 1 0 0 0 0
 0 1 0 0 0
 0 0 1 0 0
 0 0 0 1 0
2^1   = 2 % order of the group
### Ex3-1 return code 0
### Test Ex3-2
Bravais groups which contain a Z-equivalent subgroup
Symbol: 1,1,1,1,1  homogeneously d.: 1 zclass: 1
Symbol: 1,1,1,1;1  homogeneously d.: 1 zclass: 1
Symbol: 1,1,1,1;1  homogeneously d.: 1 zclass: 2
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 1
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 2
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 3
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 2
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 3
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 4
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 5
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 6
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 2
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 3
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 4
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 5
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 6
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 7
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 8
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 9
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 10
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 11
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 12
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 13
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 14
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 15
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 16
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 17
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 18
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 2
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 3
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 4
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 5
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 6
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 7
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 8
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 9
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 10
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 11
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 12
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 13
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 14
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 15
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 16
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 17
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 18
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 19
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 2
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 3
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 4
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 5
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 6
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 7
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 8
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 9
Symbol: 2-1',2-1';1  homogeneously d.: 1 zclass: 1
Symbol: 2-1',2-1';1  homogeneously d.: 1 zclass: 2
Symbol: 2-1,2-1;1  homogeneously d.: 1 zclass: 1
Symbol: 2-1,2-1;1  homogeneously d.: 1 zclass: 2
Symbol: 2-1,2-1;1  homogeneously d.: 2 zclass: 1
Symbol: 2-1,2-1;1  homogeneously d.: 2 zclass: 2
Symbol: 2-1,2-1;1  homogeneously d.: 2 zclass: 3
Symbol: 2-1,2-1;1  homogeneously d.: 3 zclass: 1
Symbol: 2-1,2-1;1  homogeneously d.: 3 zclass: 2
Symbol: 2-1;1,1,1  homogeneously d.: 1 zclass: 1
Symbol: 2-1;1,1,1  homogeneously d.: 1 zclass: 2
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 2
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 3
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 4
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 5
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 6
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 7
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 8
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 10
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 11
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 12
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 13
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 14
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 15
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 2
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 3
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 4
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 5
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 6
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 7
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 8
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 9
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 1
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 2
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 3
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 4
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 5
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 6
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 7
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 8
Symbol: 2-2',2-2';1  homogeneously d.: 1 zclass: 1
Symbol: 2-2',2-2';1  homogeneously d.: 1 zclass: 2
Symbol: 2-2,2-2;1  homogeneously d.: 1 zclass: 1
Symbol: 2-2,2-2;1  homogeneously d.: 1 zclass: 2
Symbol: 2-2,2-2;1  homogeneously d.: 2 zclass: 1
Symbol: 2-2,2-2;1  homogeneously d.: 2 zclass: 2
Symbol: 2-2;1,1,1  homogeneously d.: 1 zclass: 1
Symbol: 2-2;1,1,1  homogeneously d.: 1 zclass: 2
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 2
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 3
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 4
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 5
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 6
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 1
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 2
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 3
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 4
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 5
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 6
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 7
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 8
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 9
Symbol: 2-2;2-1;1  homogeneously d.: 1 zclass: 1
Symbol: 2-2;2-1;1  homogeneously d.: 1 zclass: 2
Symbol: 2-2;2-1;1  homogeneously d.: 1 zclass: 3
Symbol: 2-2;2-1;1  homogeneously d.: 1 zclass: 4
Symbol: 2-2;2-2;1  homogeneously d.: 1 zclass: 1
Symbol: 2-2;2-2;1  homogeneously d.: 1 zclass: 2
Symbol: 2-2;2-2;1  homogeneously d.: 1 zclass: 3
Symbol: 2-2;2-2;1  homogeneously d.: 1 zclass: 4
Symbol: 2-2;2-2;1  homogeneously d.: 1 zclass: 5
Symbol: 2-2;2-2;1  homogeneously d.: 1 zclass: 6
Symbol: 2-2;2-2;1  homogeneously d.: 1 zclass: 7
Symbol: 3;1,1  homogeneously d.: 1 zclass: 1
Symbol: 3;1,1  homogeneously d.: 1 zclass: 2
Symbol: 3;1,1  homogeneously d.: 1 zclass: 3
Symbol: 3;1,1  homogeneously d.: 2 zclass: 1
Symbol: 3;1,1  homogeneously d.: 2 zclass: 2
Symbol: 3;1,1  homogeneously d.: 3 zclass: 1
Symbol: 3;1;1  homogeneously d.: 1 zclass: 1
Symbol: 3;1;1  homogeneously d.: 1 zclass: 2
Symbol: 3;1;1  homogeneously d.: 1 zclass: 3
Symbol: 3;1;1  homogeneously d.: 1 zclass: 4
Symbol: 3;1;1  homogeneously d.: 1 zclass: 5
Symbol: 3;1;1  homogeneously d.: 1 zclass: 6
Symbol: 3;1;1  homogeneously d.: 1 zclass: 7
Symbol: 3;1;1  homogeneously d.: 1 zclass: 8
Symbol: 3;1;1  homogeneously d.: 2 zclass: 1
Symbol: 3;1;1  homogeneously d.: 2 zclass: 2
Symbol: 3;1;1  homogeneously d.: 2 zclass: 3
Symbol: 3;1;1  homogeneously d.: 2 zclass: 4
Symbol: 3;1;1  homogeneously d.: 2 zclass: 5
Symbol: 3;1;1  homogeneously d.: 3 zclass: 1
Symbol: 3;1;1  homogeneously d.: 3 zclass: 2
Symbol: 3;2-1  homogeneously d.: 1 zclass: 1
Symbol: 3;2-1  homogeneously d.: 1 zclass: 2
Symbol: 3;2-1  homogeneously d.: 2 zclass: 1
Symbol: 3;2-1  homogeneously d.: 2 zclass: 2
Symbol: 3;2-1  homogeneously d.: 3 zclass: 1
Symbol: 3;2-2  homogeneously d.: 1 zclass: 1
Symbol: 3;2-2  homogeneously d.: 2 zclass: 1
Symbol: 3;2-2  homogeneously d.: 2 zclass: 2
Symbol: 3;2-2  homogeneously d.: 3 zclass: 1
Symbol: 3;2-2  homogeneously d.: 3 zclass: 2
Symbol: 4-1';1  homogeneously d.: 1 zclass: 1
Symbol: 4-1';1  homogeneously d.: 1 zclass: 2
Symbol: 4-1;1  homogeneously d.: 1 zclass: 1
Symbol: 4-1;1  homogeneously d.: 1 zclass: 2
Symbol: 4-1;1  homogeneously d.: 2 zclass: 1
Symbol: 4-1;1  homogeneously d.: 2 zclass: 2
Symbol: 4-2';1  homogeneously d.: 1 zclass: 1
Symbol: 4-2;1  homogeneously d.: 1 zclass: 1
Symbol: 4-2;1  homogeneously d.: 1 zclass: 2
Symbol: 4-2;1  homogeneously d.: 2 zclass: 1
Symbol: 4-2;1  homogeneously d.: 2 zclass: 2
Symbol: 4-3';1  homogeneously d.: 1 zclass: 1
Symbol: 4-3';1  homogeneously d.: 1 zclass: 2
Symbol: 4-3;1  homogeneously d.: 1 zclass: 1
Symbol: 4-3;1  homogeneously d.: 1 zclass: 2
Symbol: 4-3;1  homogeneously d.: 1 zclass: 3
Symbol: 4-3;1  homogeneously d.: 2 zclass: 1
Symbol: 5-1  homogeneously d.: 1 zclass: 1
Symbol: 5-1  homogeneously d.: 2 zclass: 1
Symbol: 5-1  homogeneously d.: 3 zclass: 1
Symbol: 5-2  homogeneously d.: 1 zclass: 1
Symbol: 5-2  homogeneously d.: 2 zclass: 1
Symbol: 5-2  homogeneously d.: 3 zclass: 1
Symbol: 5-2  homogeneously d.: 4 zclass: 1
### Ex3-2 return code 0
### Test Ex3-3
Please input the symbol for the crystal-family: 5-1
The crystal-family 5-1 contains 3 homogeneously decomposable bravais-groups with
 1,  1,  1
 Z-classes of Bravais groups.
Do you want to calculate bravais-groups? (y or n): Please input a filename (stdout = standard output): Which bravais-groups should be printed? (a(ll) or s(election): #g2 f1 n1 c1% homogenously decomposable bravais-group
5	% generator
 -1 0 0 0 0
  0 1 0 0 0
  0 0 0 0 1
  0 0 1 0 0
  0 0 0 1 0
5	% generator
 0 0 0 1 0
 1 0 0 0 0
 0 1 0 0 0
 0 0 1 0 0
 0 0 0 0 1
5d0	% invariant form
1
5d0	% generator of normalizer
1
5d0	% generator of centralizer
-1
2^8  * 3^1  * 5^1   = 3840 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 -1  0 0  0  0
  2  1 0  0  0
 -2 -1 0  1 -1
  1  1 1  0  1
  1  1 0 -1  0
5	% generator
 0 0  1  1  1
 1 0 -1 -1 -1
 0 1  1  1  1
 0 0  0  0 -1
 0 0  0 -1  0
5x0	% invariant form
 2
 1 2
 0 1 2
 0 0 1 2
 0 0 1 0 2
2^8  * 3^1  * 5^1   = 3840 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 -1 0 0 -1 -1
  0 1 0 -1  0
  0 0 0 -1  0
  0 0 1 -1  0
  0 0 0  2  1
5	% generator
 0 0 0 1 0
 1 0 0 0 0
 0 1 0 0 0
 0 0 1 0 0
 0 0 0 0 1
5x0	% invariant form
 4
 0 4
 0 0 4
 0 0 0 4
 2 2 2 2 5
2^8  * 3^1  * 5^1   = 3840 % order of the group
### Ex3-3 return code 0
### Test Ex3-4
Please input the symbol for the crystal-family: 5-2
The crystal-family 5-2 contains 4 homogeneously decomposable bravais-groups with
 1,  1,  1,  1
 Z-classes of Bravais groups.
Do you want to calculate bravais-groups? (y or n): Please input a filename (stdout = standard output): Which bravais-groups should be printed? (a(ll) or s(election): #g2 f1 n1 c1% homogenously decomposable bravais-group
5	% generator
 0 1 0 0 0
 1 0 0 0 0
 0 0 1 0 0
 0 0 0 1 0
 0 0 0 0 1
5	% generator
 -1  0  0  0 1
  0  0  0  0 1
  0 -1  0  0 1
  0  0 -1  0 1
  0  0  0 -1 1
5x0	% invariant form
  5
 -1  5
 -1 -1  5
 -1 -1 -1  5
 -1 -1 -1 -1 5
5d0	% generator of normalizer
1
5d0	% generator of centralizer
-1
2^5  * 3^2  * 5^1   = 1440 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 0 1 0 0 0
 1 0 0 0 0
 0 0 1 0 0
 0 0 0 1 0
 0 0 0 0 1
5	% generator
 -1  0  0  0 0
  1  1  1  1 1
  0 -1  0  0 0
  0  0 -1  0 0
  0  0  0 -1 0
5x0	% invariant form
 2
 1 2
 1 1 2
 1 1 1 2
 1 1 1 1 2
2^5  * 3^2  * 5^1   = 1440 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 1  1 0 0 0
 0 -1 0 0 0
 0  1 1 0 0
 0 -1 0 1 0
 0  1 0 0 1
5	% generator
 -1  0  0 1 1
  1  0  0 0 0
 -1 -1  0 1 0
  1  0 -1 0 0
 -1  0  0 0 1
5x0	% invariant form
  4
  1  4
 -2  1 4
 -2 -2 1 4
 -2  1 1 1 4
2^5  * 3^2  * 5^1   = 1440 % order of the group
#g2 f1 % homogenously decomposable bravais-group
5	% generator
 1  0 0 0 0
 0  1 0 0 0
 0  0 1 0 0
 0  1 0 0 1
 0 -1 0 1 0
5	% generator
  0  0 1 0  0
 -1  0 0 1  1
  0 -1 0 0 -1
 -1  0 0 0  1
  1  0 0 0  0
5x0	% invariant form
  3
  1  3
 -1  1 3
 -1 -1 1 3
 -1  1 1 1 3
2^5  * 3^2  * 5^1   = 1440 % order of the group
### Ex3-4 return code 0
### Test Ex3-4-Ex3_51a
Bravais subgroups of the groups G in Ex3_51a
Symbol: 5-1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 1,1,1,1,1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1,1,1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 5
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 120
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1,1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1',2-1';1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1,1,1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 20
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-2;2-1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 3;1,1  homogeneously d.: 2 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 5
Number of occurences in the group: 80
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 11
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 9
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 120
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 18
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 80
Number of orbits under the normalizer: 1
Symbol: 4-3';1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 96
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 13
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 3;1,1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 4-1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 5
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 3 zclass: 1
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 4-1';1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 2 zclass: 1
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 2 zclass: 3
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 3;2-1  homogeneously d.: 2 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 2 zclass: 1
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 9
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 1 zclass: 5
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 17
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 4-3;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 16
Number of orbits under the normalizer: 1
### Ex3-4-Ex3_51a return code 0
### Test Ex3-4-Ex3_51b
Bravais subgroups of the groups G in Ex3_51b
Symbol: 5-1  homogeneously d.: 2 zclass: 1
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 1,1,1,1,1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 120
Number of orbits under the normalizer: 2
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 120
Number of orbits under the normalizer: 1
Symbol: 2-1',2-1';1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1,1,1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 25
Number of orbits under the normalizer: 2
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 9
Number of occurences in the group: 150
Number of orbits under the normalizer: 2
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 16
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 18
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 4-3';1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 96
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 160
Number of orbits under the normalizer: 2
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 15
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 120
Number of orbits under the normalizer: 2
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 11
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-2;2-1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 3;1,1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 15
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 4-1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 5
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 3 zclass: 2
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 2 zclass: 3
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 4-1';1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 3;1,1  homogeneously d.: 2 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 5
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 13
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 10
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 15
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 19
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 9
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 4-3;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 16
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 2 zclass: 5
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 3;2-1  homogeneously d.: 2 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 2 zclass: 4
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 5
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
### Ex3-4-Ex3_51b return code 0
### Test Ex3-4-Ex3_51c
Bravais subgroups of the groups G in Ex3_51c
Symbol: 5-1  homogeneously d.: 3 zclass: 1
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 1,1,1,1,1  homogeneously d.: 1 zclass: 1
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 120
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1,1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 120
Number of orbits under the normalizer: 2
Symbol: 1,1,1,1;1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 25
Number of orbits under the normalizer: 2
Symbol: 2-1',2-1';1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-1;1,1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-2;2-1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 14
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 3;1,1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 5
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 17
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 16
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 10
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 8
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 5
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 2-1;1;1;1  homogeneously d.: 1 zclass: 12
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 3;1,1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 5
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 9
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-2;1,1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 160
Number of orbits under the normalizer: 2
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 14
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1,1;1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 120
Number of orbits under the normalizer: 2
Symbol: 1,1;1,1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 150
Number of orbits under the normalizer: 2
Symbol: 4-1;1  homogeneously d.: 2 zclass: 2
Number of occurences in the group: 5
Number of orbits under the normalizer: 1
Symbol: 2-1;2-1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 2 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 3 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 2-1,2-1;1  homogeneously d.: 2 zclass: 3
Number of occurences in the group: 30
Number of orbits under the normalizer: 1
Symbol: 4-1';1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 60
Number of orbits under the normalizer: 1
Symbol: 1,1;1;1;1  homogeneously d.: 1 zclass: 18
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 4-3';1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 96
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 1 zclass: 4
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 3;2-1  homogeneously d.: 1 zclass: 2
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 1 zclass: 6
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 4-3;1  homogeneously d.: 1 zclass: 3
Number of occurences in the group: 16
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 16
Number of occurences in the group: 1
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 11
Number of occurences in the group: 15
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 13
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 9
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 2-2;1;1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 40
Number of orbits under the normalizer: 1
Symbol: 3;1;1  homogeneously d.: 1 zclass: 7
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
Symbol: 1;1;1;1;1  homogeneously d.: 1 zclass: 18
Number of occurences in the group: 10
Number of orbits under the normalizer: 1
### Ex3-4-Ex3_51c return code 0
