# Import the class Group from the file groups.py
from groups import Group
# Create an instance of the group (5,+)x(9,x)
print("Create a group (5,+)x(9,x)")
G = Group(["add", "mult"], [5, 9])
# print the group components
Gg = G.g("show")
g3 = G.g(3)
print("Element 3 = ", G.g(3))
print("Inverse of element 3 = ", G.inv(g3))
g7 = G.g(7)
g6 = G.g(6)
print("Element 7 = ", g7)
print("Element 6 = ", g6)
print("Multiplication of element 7 and element 6 = ", G.op(g7, g6))
print("Element 7 to the power of 3 = ", G.pow(g7, 3))
print("Group orders:")
Gg = G.g()
Ggo = G.go()
for (g, go) in zip(Gg, Ggo):
print("Element ", g, " has order ", go)
# Import the class Group from the file groups.py
from groups import Group
# Create an instance of the group (10,+)
print("Creating a group (10,+)")
G = Group("add", 10)
# print the group components
G.g("show")
print("Inverse of element 3 = ", G.inv(3))
print("Multiplication of 7 and 6 = ", G.op(7, 6))
print("7 to the power 3 = ", G.pow(7, 3))
Gg = G.g()
Ggo = G.go()
GgoDict = dict(zip(Gg, Ggo))
for g in GgoDict:
print("Element: ", g, " has order: ", GgoDict[g])
# Create an instance of the group (15,x)
print("\nCreating a group (15,x)")
H = Group("mult", 15)
# print the group components
Hh = H.g("show")
print("Inverse of element 2 = ", H.inv(2))
