Debian 7上的Laravel v5.2 + Nginx v1.2.1错误500

Here is my example nginx file, which I can get to work fine.

server {
    listen 80 default_server;
    listen [::]:80 ipv6only=on default_server;

    root /var/www/test/public;
    index index.php index.html index.htm;

    server_name [the-ip-address];

    location / {
        try_files $uri $uri/ /index.php?$query_string;
    }

    location ~ \.php$ {
        try_files $uri $uri/ /index.php =404;
        fastcgi_split_path_info ^(.+\.php)(/.+)$;
        fastcgi_pass unix:/var/run/php5-fpm.sock;
        fastcgi_index index.php;
        fastcgi_param SCRIPT_FILENAME $document_root$fastcgi_script_name;
        include fastcgi_params;
    }
}

If I put an index.php file in /var/www/test/public/index.php it displays on the page fine. But if I delete the folder /var/www/test and do a fresh install of Laravel as /var/www/test which includes a public/index.php all I get is error 500.

This should work, and I believe it has something to do with Debian and permissions. I've tried running sudo chmod 755 -R /var/www/test and chmod -R o+w /var/www/test/storage which did help before, but I must be missing something this time.

Any idea why my setup works, but not with Laravel?