flutter aws auth, aws app sync

I need a sample project that will use flutter and aws amplify toolset. i need a sing in sign up screen created using cognito. i also need a home page that utilizes aws appsync graphql to retreive data and retreive in realtime similar to a chat app. the app does not need to be a full blown chat app, just show the techniques of implementing with the following tech: flutter, aws amplify, cognito for auth, and graphql using appsync for the realtime portion on the home screen. Thanks.