Gnutella Forums - Firewall problems with ports

So I'm at work hoping to be able to download some music. I have admin rights on my machine but working for an IT company we have very tight net security going both ways. Basically all computers on the company have access to the local network, but to access the web we need to go through a proxy server. When I run netstats I get this (note, to any who are of the disposition to try to hack my work machine, I'm not dumb, I'm modifying the ip numbers).

C:\>netstat -n -a

Active Connections

Proto Local Address Foreign Address State
TCP 0.0.0.0:80 0.0.0.0:0 LISTENING
TCP 0.0.0.0:135 0.0.0.0:0 LISTENING
TCP 0.0.0.0:445 0.0.0.0:0 LISTENING
TCP 0.0.0.0:1025 0.0.0.0:0 LISTENING
TCP 0.0.0.0:1058 0.0.0.0:0 LISTENING
TCP 0.0.0.0:1074 0.0.0.0:0 LISTENING
TCP 0.0.0.0:1284 0.0.0.0:0 LISTENING
TCP 0.0.0.0:1285 0.0.0.0:0 LISTENING
TCP 0.0.0.0:1322 0.0.0.0:0 LISTENING
TCP 0.0.0.0:2429 0.0.0.0:0 LISTENING
TCP 0.0.0.0:2430 0.0.0.0:0 LISTENING
TCP 0.0.0.0:4313 0.0.0.0:0 LISTENING
TCP 0.0.0.0:4315 0.0.0.0:0 LISTENING
TCP 0.0.0.0:4316 0.0.0.0:0 LISTENING
TCP 0.0.0.0:4504 0.0.0.0:0 LISTENING
TCP 0.0.0.0:4507 0.0.0.0:0 LISTENING
TCP 0.0.0.0:5000 0.0.0.0:0 LISTENING
TCP 0.0.0.0:45100 0.0.0.0:0 LISTENING
TCP 182.191.234.62:139 0.0.0.0:0 LISTENING
TCP 182.191.234.62:1074 163.26.124.100:445 ESTABLISHED
TCP 182.191.234.62:1284 163.26.153.20:80 CLOSE_WAIT
TCP 182.191.234.62:1285 163.26.103.20:80 CLOSE_WAIT
TCP 182.191.234.62:2418 163.181.210.70:445 TIME_WAIT
TCP 182.191.234.62:2429 163.26.153.20:80 ESTABLISHED
TCP 182.191.234.62:2430 163.26.153.20:80 ESTABLISHED
TCP 182.191.234.62:4313 163.26.126.175:3890 ESTABLISHED
TCP 182.191.234.62:4315 163.26.151.45:1433 ESTABLISHED
TCP 182.191.234.62:4316 163.26.126.173:15210 ESTABLISHED
TCP 182.191.234.62:4504 163.26.126.175:3890 ESTABLISHED
TCP 182.191.234.62:4507 163.26.126.175:3890 ESTABLISHED
TCP 182.191.234.62:7001 0.0.0.0:0 LISTENING
UDP 0.0.0.0:445 *:*
UDP 0.0.0.0:500 *:*
UDP 0.0.0.0:1026 *:*
UDP 0.0.0.0:1028 *:*
UDP 0.0.0.0:1050 *:*
UDP 0.0.0.0:1063 *:*
UDP 0.0.0.0:1322 *:*
UDP 0.0.0.0:4314 *:*
UDP 0.0.0.0:6347 *:*
UDP 129.0.0.1:123 *:*
UDP 129.0.0.1:1900 *:*
UDP 129.0.0.1:2125 *:*
UDP 129.0.0.1:2758 *:*
UDP 182.191.234.62:123 *:*
UDP 182.191.234.62:137 *:*
UDP 182.191.234.62:138 *:*
UDP 182.191.234.62:1900 *:*

Port 7001 doesn't work, that one's reserved for when I'm deploying to test servers. Not sure about port 139, but I still don't know how to configure limewire.

Does anyone see a way I can get around this? I don't have network admin rights, only machine rights.
Thanks.