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| ANSI Common Lisp 2 Syntax 2.3 Interpretation of Tokens 2.3.2 Constructing Numbers from Tokens ### 2.3.2.3 Syntax of a Complex A complex has a Cartesian structure, with a real part and an imaginary part each of which is a real. The parts of a complex are not necessarily floats but both parts must be of the same type: either both are rationals, or both are of the same float subtype. When constructing a complex, if the specified parts are not the same type, the parts are converted to be the same type internally (i.e., the rational part is converted to a float). An object of type `(complex rational)` is converted internally and represented thereafter as a rational if its imaginary part is an integer whose value is 0. For further information, see Section 2.4.8.11 Sharpsign C and Section 22.1.3.1.4 Printing Complexes.

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