Okay, I was trying to up Alkaid's Lv. in the fields, but that was taking to long. So I decided one time to fight in the arena. I fought "The Sweepstakes" which is a Lv. 150 team. When I was finished, Alkaid gained 900 experience points plus the rengeki bonus, which upped it to 1045 exp. And she already had 935 exp. from the FoP. (Note: Her level was 140 when I entered.) So she went up two levels easy.

Comments?

Well I just leveled her up in the fields. I think I went to a Lv 150 field, but it was a slow process.
I noticed that some characters level up on their own if you just leave them be for a while, so I was wondering if perhaps Alkaid did the same. But I can't leave her outside of my team, so I never found out. lol

It's funny. Alkaid was always in my party during arena fights. The best team for fighting the aforementioned team is:

Haseo Lv. 150 (You Only need DG-X or DG-Z, with the Silad)
Pi Lv. 150 (Set her to Rage and equip her with her Lost Weapon)
Character you want to Lv. up (Set this character to life, so they don't get attacked as easily.)

When the battle begins, run around the arena and wait for Wolf Gang (The Harvest Cleric) to use a spell. Counter it with Armor Break or another high level Broadsword attack. He'll fall. Next, use the double-trigger to quickly switch back to Dual-Guns. Now have fun killing the Twin-Blade (Who's name escapes me.) Lastly, Rengeki Ono's ass to the floor with Justice and Judgement. Keep in mind that Ono may counter your double trigger if you take your time. And make sure to keep your member ALIVE. The exp. halves itself if the member dies.

Atty, I'm quite sure that Alkaid does level up if you leave her alone... haven't paid enough attention to it... been distracted by Star Ocean

Oh well. I like lvling her up myself. And I'll have to do it over with Bordeaux...... (Which realy sucks.)

I just wish we could've gotten Sirius or Taihaku's member address. It would've been a better ending since I LOVE ICOLO.