I can compress it to 0b! With a decompressor that will be around 100mb.
For instance, DEFLATE has default variable width encoding tables built in based on letter frequency of the English language as measured some time ago. If you use an algorithm with any kind of defaults those count against the cost, but they don’t necessarily cost more to tune it for a solitary input.
For a competition like this, all simple approaches have probably been tried already. The current leader has been tuning their approach for 5 years: http://mattmahoney.net/dc/text.html#1159