<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def new(type_dict, type_factory, *type_parameters):
 """ Create a fully reified type from a type schema. """

    type_tuple = (type_factory,) + type_parameters
    if type_tuple not in type_dict:
      factory = TypeFactory.get_factory(type_factory)
      reified_type = factory.create(type_dict, *type_parameters)
      type_dict[type_tuple] = reified_type
    return type_dict[type_tuple]