4x4 2gen algs

4x4 <r,U>

3 edge flip (31)
r U r2 U2 r2 U r' U r2 U r2 U2 r U' r' U' r U' r U' r U' r' U2 r' U2 r U2 r2 U2 r'

2 corner twist (32)
U' r U r U r' U' r' U r' U' r U' r' U2 r U r U r U' r' U' r' U' r' U2 r U r' U r

double parity (33)
r2 U2 r' U2 r2 U2 r' U2 r' U r' U r U' r U2 r U2 r' U2 r U2 r2 U' r2 U r U' r U r' U2 r

W perm (28)
U' r2 U2 r' U r2 U' r2 U r' U r U r' U' r' U r U r' U r2 U' r2 U r U2 r2

wing 4 cycle (38)
U2 r U r' U2 r U r' U2 r' U2 r' U' r U r' U2 r2 U r' U' r2 U r U2 r' U' r2 U2 r' U r U' r U r2 U2 r'

shortest wing 3 cycle (20)
r U r' U' r U2 r U r' U r U r2 U r2 U r' U2 r' U

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4x4 <2R,U>

supercube-safe edge flip (29)
2R2 U 2R2 U2 2R2 U2 2R' U 2R' U 2R' U2 2R2 U2 2R2 U' 2R U' 2R U2 2R U2 2R U2 2R U' 2R U2 2R2

supercube-safe double parity (30)
U 2R2 U 2R U 2R2 U2 2R U 2R U' 2R U2 2R' U' 2R2 U' 2R2 U2 2R U 2R U 2R2 U2 2R' U2 2R2 U' 2R'

shortest wing 3 cycle (15)
2R U 2R U 2R' U 2R' U' 2R2 U' 2R2 U2 2R U 2R'

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4x4 <2R,u>

edge flip (27)
2R2 u2 2R' u 2R u2 2R u 2R u 2R u' 2R' u' 2R u 2R u 2R' u2 2R2 u2 2R' u' 2R u2 2R2