COLL
These are all the algorithms I use to orient and permute the corners while preserving edge orientation. I give credit to this list to Jason Baum, Bob Burton and Leyan Lo for their COLL pages and to Ron's CubSolver on speedcubing.com for the algs I found myself. I have tried to find all algorithms that can be performed with only the L, U, or r face but that is not always possible or optimal. For some cases I will provide more than one algorithm if I think the LUR algorithm is not faster to perform or if I have not decided which one to use yet.
Credit to Bob Burton's website for the images.
I have tried to minimize both htm and qtm.
U Case
 | L R' U L2 U2 R U' R' U2 L2 R U2 L' | Large quantity of U2 moves, hope you have a good double trigger. |
 | R' U2 RU2 LU2 R' U2 R U2 L' | |
 | R' U2 R F U' R' U' R U F'
| Pretty fast alg sub 3 almost sub 2.
|
 | R' U' R U' R' U2 R2 U R' U R U2 R' | Two Sune type algorithms in a row. |
 | L U' R U' L' U R' U2 L U' L' | LUR Alg, this is a normal superman case but I like this one more |
 | R' U L' U R U' L U2 R' U R U | same as above |
T Case
 | R U2 R' U' R U' R2 U2 R U R' U R | Linked Sune algs |
 | L' U2 L U' R' U L' U' R2 U' L U R' | |
 | [U'] L U2 R' U2 R U2 L' U2 R U2 R' | Inverse of the second U Case |
 | R' U R U2 L' R' U R U' L | |
 | [U'] R U R' U' L' U R U' L R' [U'] r U R' U' L' U R U' x | LUR Alg Alg I currently use. |
 | [U'] R' U' R U L U' R' U L' R [U] R' F' L' F R F' L' F | LUR Alg Alg I currently use. Done with a half cube rotation to make F U. |
L Case
 | [U'] L U L' U2 R U' L U R' U L' | Inverse of a "Superman" |
 | [U2] R' U' R U2 L' U R' U' L U' R | Inverse of a "Superman" |
 | (R U R' U) (R U') (R' U) (R U') (R' U) (R U2 R') | 2-gen "(" for ease of eye and memory |
 | [U] L F R F' L' F R' F' [U] R U R U' L' U R' U' L R' | Cube rotation to make F U |
 | R' F' L' F R F' L F [U2]R' U' R' U L U' R U L' R | Alg I currently Use. LUR alg |
 | L' U2 R U' R' U2 L R U' R' |
Sune Case
 | [U] R U R' U L' U R U' L U2 R' | |
 | [U'] L' R U R' U' L U2 R U2 R' | |
 | [U'] R U R' U R U2 R' | Normal Sune |
 | [U] R' U2 R U2 L U' R' U L' R | |
 | R U2 L' R' U2 R U R' U2 L R U2 R' | |
 | [U'] R U' L' U R' U' L | Niklas |
Anti-Sune Case
 | [U'] R U2 L' U R' U' L U' R U' R' | |
 | [U']L R' U' R U L' U2 R' U2 R | |
 | R U2 R' U' R U' R' | Anti-Sune |
 | [U] R U2 R' U2 L' U R U' L R' | |
 | [U] L' U R U' L2 U2 R' U R U2 L' R' R' U' R U' R' U R' D' R U R' D R2 | The second alg is from Jason Baum |
 | [U] L' U R U' L U R' | Anti-Niklas |
