Ultimate weapons are best weapons for the characters in the game. But on Final Fantasy 10 you don't just need the weapons you need two other items:crests and sigils to fill the weapons to their full potential. When getting the weapon and items go back to the place where you obtained the celestrial Mirror and it will upgrade them. If you're wondering how to get the mirror go Celestrial mirror to find out.
Go to the calm lands and talk to the chocobo trainer near the shop. She will teach how to train a wobbly, dodger and hyper dodger chocobo. After you have gotten all the times needed, she will now ask you for a race. When racing her you will have to get a time better than hers. Now that you've done that. Go to the north of the calm lands to the west and there is a little path that a guard was blocking, he isn't any more. Go down and examine the thing on the wall you will get the caladbolg.
Crest-After the battle with lady Yunalesca go to the broken stairs. (If you dont get it first time you'll have dark Bahamut in your way. But you can still beat him.)
Sigil-Race the chocobo trainer in the calm lands and get a time of 0:0.0. It isn't impossible it just takes a lot of training. The most amount of birds you can hit and get the time is 1 or 2 and you need to get plenty of balloons.
capture all the fiends (9) in the calm lands and bring them back to the arena a chest will appear which has Nirvana in it.(Wanting to know about the creatures to find for the monster arena, go to Monster Arena to find more info)
Crest-At the beach in Besaid go to the left shallow sea part and walk/swim to your left and there is a little hidden bit of sand with the crest in a chest there.
Sigil-In the Remiem temple. Defeat all of Belgemine's aeons. You must have Anima, Yojimbo and the Magus Sisters to get the Sigil. (For info on how to get those Aeons click here)
Go down the bridge to the cavern of stolen fayth but dont go in. Instead go to the right and there is a bunch of crusaders, you will see a rusty sword stuck in the ground, take it. Now go to Mushroom rock road, go not to the right but north to the part Clasko was blocking before. Take a right turn here, and go up the elevator, the statue is here. PLace the sword before him and a glyph will appear on the wall, touch it to get the Masamune.(NOTE:Dont get mixed up between this statue and the one on Mi'hen highroad)
Crest-Mi'hen highroad, Oldroad, south. At the very beginning of the road.(Just behind where you got pushed if you lost to the chocobo eater)
Sigil-Capture all the different types of monsters from 10 different regions.(NOTE:You don't have to get 10 of each of them)
Go to the pub in Luca the bartender will give it to you. But she will reject if you havent been playing Blitzball. To make her give it you enter a league or tournament in Blitzball and win about 5-7 games, she will then give it you.
Crest-In the second locker in the Auroch's locker room. After you leave Luca come back and get it.
Sigil-Get the attack reels in a tournament mode in Blitzball, then get status reels in the league, then get Auroch reels in the tournament. Then finish the league your in. Go back and save. Now come back to blitzball and start a new league, if the 1st prize is a Jupiter sigil then carry on, if not, then reload and try again until it is.
Go to the Baaj temple (see airship for coordinates of it) and jump in the water. You will have to fight Geosgano if you have not already done so. Use stoneproof armour and keep hacking into it. it is in a chest around this area now it is very hard to find the main thing to focus on is where it is on the radar. This pick might help.

Sigil-Dodge 200 lightning bolts in a row in the thunder plains.
In the thunder plains. At the first thunder scene there is 2 glowing cactaur stone. Pray at both of them and go on to the next thunder scene. Here pray at any one of the statues. Now go back to the first one and when your about at the middle part of it you will see a little cactaur ghost following you. Now follow it to a small wrecked tower. Pray there and the Spirit lance will appear. If you want to get a better definition of how to get the weapon click here.
Crest-After the Seymour battle at Mt. Gagazet it is hidden between 2 of the columns(pillars).
Sigil-Get all the blue butterlies within the time limit without touching any red ones.
Type in the password GODHAND when you have the airship. The mushroom road rock ravine will now be available. Go there and walk along until you find a treasure chest with the weapon inside.
Crest-In the sanubia desert, central. In a sand whirlpool. It's in a little part to the left.
Sigil-The cactaur sidequest. To know how to do the cactaur side-quest click here