Wire pattern for T-1

what do you mean? T-1 isn't a wiring pattern, its the amound of data pumped through a wire.

Do you want to know the wiring pattern for cat5 cable? The straigh through pattern is
orange, white orange, green, white blue, blue, white green, brown, white brown

To add to the above answer:
TechRepublic has a document diagraming straight-through CAT5 and crossover wiring.

https://www.techrepublic.com/article.jhtml?src=search&id=r00320001006det01.htm

(please take out any spaces in URL)

Hope this helps

Oh, ok. So, for example, you have a T1 coming into your facility, and it terminates somewhere (a patch panel, for example) and you need to run it all the way to your router.
Then, in the patch panel example, if it is punched down into the panel block in the crossed-over order that the T1 is physically wired, then a standard straight CAT5 running from the patch panel to your router should work.
IF they punched the T1 down in a different way (crossing RT, ST, RR and SR) then your patch cable from the patch panel to the router must switch the connections around to be correct for the inbound port on the router.
Did that make sense? Ok, let me try it this way.
Probably, whoever punched down the T1 in the patch panel (again, assuming that ishow your T1 is terminated into your facility) they did it in a crossed-over method. The Send Ring wire on the far end of the T1 cable (pin 1, for example) should match up with pin 5 in the patch panel (the Receive Ring position). If they did it thisway, then you can just plug a straight-through CAT5 into the patch panel, and terminate it into the router.
Now, I am remembering the T1 wiring positions incorrectly. Pin1 might not be Send Ring, but you get my point.
I would check with whoever did the physical installation. Find out how they did the end wiring.
But a straight CAT5 should do the trick.