Assume a degree-6 LFSR with c0 = c5 = 1 and c1 = c2 = c3 = c4 = 0. Is this LFSR maximal length?

This is a cryptology question.If needed, please refer to the course textbook, Introduction to Modern Cryptography by Katz and Lindell, to answer the question. It should be available for reference online. Here is a link: https://drive.google.com/file/d/0B2K23P7N2S-Sc1ZOYk9ZeDJhckk/view?usp=sharing

Exercise 6.1 b

I think it is maximal length and can generate with a length of 63. Can somebody please confirm or provide explanation?

6.1 Assume a degree-6 LFSR with co = c5 = 1 and c1 = c2 = c3 = C4 = 0. (a) What are the first 10 bits output by this LFSR if it starts in initial state (1,1,1, 1, 1,1)? (b) Is this LFSR maximal length