The statement that best assesses the contributions of the Code of Hammurabi to U.S. political thought is:
"The Code of Hammurabi contributed to U.S. political thought as an example of how uniform written rules could promote a flourishing society."
This statement reflects the significance of the Code of Hammurabi in demonstrating the importance of codified laws and their role in maintaining order and justice within a society, which is a fundamental principle in U.S. legal and political systems.