Loaded Coupon Collector

A six-sided die is loaded:

Face	1	2	3	4	5	6
Probability	0.05	0.10	0.15	0.20	0.20	0.30

You roll it until every face has appeared at least once. What is the expected number of rolls?

(A 63-term inclusion-exclusion, a Poissonisation integral, or a simulation of a few million collections all reach the same number.)

Answer format: round to 2 decimal places.