How can I eliminate the inline styles included by default with the Genesis framewrok?

The first inline CSS is added by WordPress automatically when you are logged in and viewing the front end. It is part of the CSS for the WordPress adminbar.

<style type="text/css" media="screen">
 html { margin-top: 28px !important; }
* html body { margin-top: 28px !important; }
</style>

For the second part of the inline CSS I would check around in Genesis for add_action(‘wp_header’ ..