imaginary vs mathematics

imaginary and mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
imaginary	Yes	Yes	No	No
mathematics	Yes	No	No	No

imaginary (noun)	mathematics (noun)
(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

imaginary (adjective)	mathematics (adjective)
not based on fact; existing only in the imagination