- booleans: true-false, 0-1
- integers: standard as db integers, integers as strings, integers as lists of base64 digits
- polynomial: as sparse array (one variable, flattened list of pairs)
- matrix: list of lists operator (by row, column, flattened)
- vector: list
- set: as list or ordered list
- complex datatypes and codec operators: polynomials
- rational numbers
- complex numbers
- real numbers
- algebraic numbers
- permutations (of integers/arbitrary sets)
- graphs
- graph extensions such as maniplexes
- permutation groups
- finitely presented groups
- named groups
- incompleteness (minimal set, an example that exists but might not be minimal)
- relator (word composed of Coxeter string group generators rho_i (well known in community))