I've tried this test several times without success: my connection times out.

As I have posted this, I obviously don't have a problem connecting to the web generally. Nor has LW been behaving unexpectedly.

I have searched (as far as is practicable) for more information on the purpose of this test and what it's failure implies without success so I'd be grateful for your help.

The rest of the suggested trouble-shooting information is as follows:
1. OS version? (eg: Windows 98)
Windows XP SP2 Home Edition.

2. What firewalls you have?
Zone Labs Zone Alarm (Windows firewall disabled).

3. How much ram?
512MB DDR.

4. Hard Disk space available?
40GB.

5. Connection type? (eg: dialup, broadband, cable, etc.)
Broadband 1,071-1877kbs down/225-239kbs up.

6. Modem & router brand name & model numbers?
Wireless, make & model 'tba'.

7. Where are you trying to connect from (house, appartment complex, school, student accomodation, work, etc.)?
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8. What version of LimeWire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.
LW: 4.12.6; Java: 1.5.0_09

9. Who is your ISP provider (Internet Service Provider)?
BT.

11. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up.
One other PC uses the same router (but was not connected at the time of the test).

12. Is this a your 1st try at LW or is this a new problem with an experienced user.
The latter.

13. Do you see a brick wall in front of the blue world icon at the bottom of LW's interface?
Yes (see '2' above).

Thank you in advance of your kind assistance.