connote vs cross the mind

connote

verb
  • To possess an inseparable related condition; to imply as a logical consequence. 

  • To signify beyond its literal or principal meaning. 

  • To express without overt reference; to imply. 

  • To require as a logical predicate to consequence. 

cross the mind

How often have the words connote and cross the mind occurred in a corpus of books? (source: Google Ngram Viewer )