iPad polytonic greek keyboard doesn't have a circumflex?

I'm in an Ancient Greek class and I use my iPad for everything that I do at school. I was excited when I realized that the iOS supports Greek as an international keyboard! Additionally, I use a bluetooth keyboard, therefore I can utilize the "polytonic greek" hardware keyboard setting. This works much better for ancient greek.

Everything is great, however I can't seem to find the "circumflex" accent. This is very important to the language. As far as I know, there are only 3 accents (and 2 breath-marks) in koine greek. I thought it was weird that all of them are available except the circumflex.

After further investigation, I realized that the English keyboard has circumflex (alt + i), except this doesn't help me. A circumflex is positioned on top of a greek vowel. It wont let me select the circumflex under the English keyboard then switch over to Greek. Overall, I find it ironic that the English keyboard offers a circumflex (though we don't use it in our spelling) but the Greek keyboard doesn't have it (though it's a major part of their language).

Any help or advice would be much appreciated. Thanks!