Separate Links Page – Don’t Include Category Named Links

Can anyone tell me how to modify the following code so that the default “Links” category is not included. I never save links to that category, but the system will not let me delete it. It shows up as an empty heading on my Links page.

Thanks!

<ul id=”links”>
<?php $link_cats = $wpdb->get_results(“SELECT cat_id, cat_name FROM $wpdb->linkcategories”); foreach ($link_cats as $link_cat) { ?>
<li id=”linkcat”><h2><?php echo $link_cat->cat_name; ?></h2>

<li id=”link”><?php get_links($link_cat->cat_id); ?>

<?php } ?>

This is a great service. Thank you!