You are a chemist. Please follow the instructions to convert the structure to the corresponding name.
system
For the molecule named N-[4-(9-cyclohexa-1,3-dien-1-yl-4a-methyl-9aH-carbazol-3-yl)phenyl]-10,10-dimethyl-N-(4-pyridin-3-ylphenyl)-6H-benzo[a]azulen-8-amine by IUPAC nomenclature, provide its molecular formula.
user
C52H45N3
assistant