Why was Jane's aiúa so powerful?

Question

The Hive Queen teaches us that aiúas are called from the Outside to fill a form that is appropriate to their abilities. A small and lowly aiúa would form a subatomic particle. A greater, but still mundane one would fill a dust mite, and so on through cells, organs, and eventually a strong one would fill a human. A very powerful one would fill a Hive Queen. This is because an aiúa has a limited capacity for willing philotes to organize, or something to that effect.

We also learn that Jane was an aiúa called from the outside, just like a Hive Queen, to fill the program making up the Fantasy Game and perhaps a slightly larger computer network. Yet we see that she is capable of ordering far more than that later, practically ruling the entire ansible network of the Hundred Worlds and even transporting spaceships to the Outside and back again just by sheer will. Her aiúa could easily overwhelm the network of Father and Mother trees if she wasn't careful, and the visionary Samoan (name?) compared her light to that of a powerful god.

If she was meant only to fill a relatively small program when called from the Outside, why was she so big? Or is there evidence that aiúas can grow so drastically that they can become like a god?

Answer 1

I'd kind of place this between a comment and an answer, but this quote helps answer your question. Jane wasn't meant to fill the program - the Hive Queen called for a bridge to fit the pattern generated by Ender as part of the fantasy game, and Jane answered.

Xenocide, Ch. 15 - Life and Death

< Jane. We've seen this name in your mind many times. But the bridge wasn't a person with a face -- >

"Neither is Jane."

< We see a face in your mind when you think of this name. We still see it. Always we thought it was a person. But now -- >

"She's the bridge. You made her"

< Called her. You made the pattern. She possessed it. What she is, this Jane, this bridge, she began with the pattern we discovered in you and the Fantasy Game, yes, but she has imagined herself to be much larger. She must have been a very strong and powerful -- philote, if your word is the right name -- to be able to change her own pattern and still remember to be herself >

_{A conversation between Ender and the Hive Queen}

This helps understand - Jane may have started small, but she imagined herself bigger. Her Aiúa must have been strong (like all humans are different, not all aiúa are the same).