Alright, well, nothing much is mentioned about the princess at all, so I guess there's just a couple things to go off of.
And, evicted, re-reading the reports that mention Hayat has got me wondering---since when has al-Mutriqa been chaos-loving or violent? Speaking of which, good job, fellow Moskurgers! Our future queen is part-lunatic with a love of dangerous flying and zapping things with lightning wands!
So, she enjoys flying, lightning, and chaos, yet has the threat of betrayal and/or competition from a younger brother. Also, she's going to have lots of pressure put on her to excel. Not just to be a leader by virtue of birth, but to be a leader in all ways. Also, she didn't like the feeling of being coddled, or restricted. Also, she appears not to have learned much about the magical summoning processes.
Alright, I'm not feeling too inspired to write this up now, so if someone else wants to take a literary jab at doing something like this, please do. Otherwise (And maybe I'll do it anyway) I'll write something up tomorrow.
------The princess doesn't like being limited, is ferociously interested in magic, and has been pressured to do something amazing and leader-like by her father and his loyal advisers (Compared to the non-loyal ones, who wish to see his son inherit the throne).
For the sake of my own sanity and our gains in spite of her personality I'm going to assume that, at heart, Hayat is a good person and has grown up a bit during her training. So, what does she need to show the world? She wants to be a strong and capable leader, meaning she must make a huge advance in an unstudied field of tech. Not to mention, she looks up to al-Mutriqa, who is a great leader on the battlefield (And swings a shining golden mace, wearing shining golden armor, killing all who stands before him. Who doesn't want to be that person?).
So I figure this: What do all these things have in common? Leadership and untested areas of magic. We've never done anything with the Wand of Heroism, yet she really wants to do things with the highest level of technology. So, I'm going to write up her thesis (And outline her research) based on these assumptions, that she's worked on the Wand of Heroism, perhaps duplicating its qualities into an adamantine wand (Another of the great magical fields we know, yet did not introduce her to). Perhaps she's made herself a Wand of Fear, reversing the qualities of the Wand of Heroism. Or perhaps she has felt the need to have her own courage, perhaps she is insecure in her future, and has crafted herself a small gem with the power of the Wand, inspiring her, always. Perhaps she has made a new crown with such a gem.
Anyway. I'll write it all out tomorrow.