[Exim] using my isp smtp mail server?

Hi,

    I have exim on my ip dynamic server. I want to use my isp mail server to
relay the mails my users sent to the domains that don't accept mails from
dynamics servers as aol and ameritech does.

    I try the next configuration

domainlist local_domains = @ : \
    previtep.com.mx

domainlist relayed_domains = *.ameritech.net : *.aol.com

local_mail:
driver = dnslookup
transport = remote_smtp
domains = *.previtep.com.mx

relayed_mail:
driver = manualroute
transport = remote_smtp
route_list = relayed_domains smtp.prodigy.net.mx bydns

remote_mail:
driver = dnslookup
domains = !+local_domains
transport = remote_smtp
ignore_target_hosts = 127.0.0.0/8
no_more


But When I send a email to ameritech I see on the log that the router used
was remote_mail.
It suppost to be send it by the relayed_mail router.

Somebody has an idea what's wrong?

TIA

Jesus Gutierrez