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In this work, some of the results of the synthesis about the administration systems are expressed. The Author defined four new case theories and 23 main methods, and defined five general political/non-political administration system categories for the world countries. Each system is defined with the related 12 sub blocs to solve the general and specific problems of communities, territories, states and/or countries. Each bloc includes presidency, council, committees, associations and R-autonomous construction. For each of these five administration system categories, and for each of their sub blocs, general/specific system administration construction is defined with its 21 blocs. Importance of both sense of justice and continuity/sustainability are described with the related 21 categories defined for each of these perspective. Types of system administration are defined for five categories of administration systems. General and specific characteristics and possible fundamental and representative duties of country presidency system are defined. Ideal political constructions are defined for each of five general administration system categories. Specific way of integration of the past and present politic/non-politic groups into the ideal political construction is defined in multi dimensional form. Constructional centrism, R-Centrism, R-Continuity, R-Democracy, R-Ideology, R-Philosophy, R-Progressive, R-Religion, R-Science, Progressive Religion, ideal stability chart and some other concepts are defined as constructional and/or complementary basics of the systems. Author defined a criterion to measure the value of a country. Effective weight function of a world …