NavigationMatrixPatterns - MusterSolution - Lösungsolutions for higher cubes and other types - Lösungen für größere Würfel und andere TypenLinksspeedcubing - Schnelldrehendiary - Tagebuchpoetry - Poesiequicklink speedcubing - Schnellzugriff Schnelldrehenagainst righteous - gegen Rechtsabout me - über michmail to Admin - email an den AdministratorImpressumJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
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Corners Moved Straight - Edges Moved Straight 1Corners Moved Straight - Edges Moved Straight 2Corners Moved Straight - Edges Moved Diagonal P1Corners Moved Straight - Edges Moved Diagonal P2Corners Moved Straight - Edges Moved Diagonal M2Corners Moved Straight - Edges Moved Diagonal M1CMD1 EMS1CMD2 EMS1Corners Moved Diagonal 2 - Edges Moved Diagonal P1Corners Moved Diagonal 1 - Edges Moved Diagonal P1Corners Moved Positive - the long arm is the 'arrowpeak'Corners Moved Negative - the long arm is the 'arrowpeak'Corners Moved ParallelCorners Moved CrossEdges Moved Positive - the long arm is the 'arrowpeak'Edges Moved Negative - the long arm is the 'arrowpeak'Edges Moved ParallelEdges Moved CrossG-Permutation - Nose UpG-Permutation - Hand UpG-Permutation - Hand DownG-Permutation - Nose DownEdges Flipped NeighboursEdges Flipped OppositeEdges Flipped AllCorners Twisted StraightCorners Twisted NeighboursCorners Twisted DiagonalCorners Twisted PositiveCorners Twisted NegativeCorners Twisted RegularCorners Twisted IrregularCorners Moved Straight - Twisted StraightCorners Moved Straight - Twisted NeighboursCorners Moved Straight - Twisted DiagonalCorners Moved Straight - Twisted PositiveCorners Moved Straight - Twisted NegativeCorners Moved Straight - Twisted IrregularCorners Moved Straight - Twisted Regular
Twisting Corners & Flipping EdgesCorners Moved StraightCorners Moved DiagonalCorners Moved Positive - the long arm is the 'arrowpeak'Corners Moved Negative - the long arm is the 'arrowpeak'Corners Moved ParallelCorners Moved CrossFlipping EdgesEdges Moved StraightEdges Moved DiagonalEdges Moved Positive - the long arm is the 'arrowpeak'Edges Moved Negative - the long arm is the 'arrowpeak'Edges Moved ParallelEdges Moved Cross Peter Jansen - quicklink speedcubing web authors - Schnellzugriff Schnelldreher Web-Autoren best browser - Bester Browsercolor distribution - Farbverteilung
                                                                                 
Carlos Angosto blank_2 Ron van Bruchem Bob Burton Loic Fremont Jessica Fridrich Yuki Hayashi Chris Hardwick Dan Harris Yuki Hayashi Peter Jansen Katsuyuki Konishi Leyan Lo Shotaro "Macky" Makisumi Jon_Morris Dennis Nilsson Joël van Noort Yuki Hayashi Richard Patterson Stefan Pochmann Lars Vandenbergh
                                                               
       
           
  flipping edgestwisting cornerstwisting corners straight, flipping edgestwisting corners neighboured, flipping edgestwisting corners diagonal, flipping edgestwisting corners positive, flipping edgestwisting corners negative, flipping edgestwisting corners regular, flipping edgestwisting corners irregular, flipping edgeschanging edgeschanging cornersstraight corner swap, edge swapdiagonal corner swap, edge swapstrange swapmoving corners diagonal, twisting cornersswapping corners straight, twisting straightswapping corners straight, twisting neighbouredswapping corners straight, twisting diagonalswapping corners straight, twisting positiveswapping corners straight, twisting negativeswapping corners straight, twisting regularswapping corners straight, twisting irregularmoving edges positive, flipping themmoving edges negative, flipping themswapping edges diagonal, flipping themswapping edges cross, flipping them  
        twists no care      
  Yuki HayashiKatsuyuki Konishi 001  EFNp1   EFNp2 FR'F'RL'URU'R'L  
    (F R' F' R) (L' U) (R U' R')L (10)  
     
EFNm2 xLU'L'ELUL'E'  
  x (L U') (L' E) (L U) (L' E') (8,10)  
     
EFNm1 R'LFL'RU²R'LFL'R  
R' (L F L') (R U² R') (L F L') R (11,12)  
   
EFNp1 MURUR'U'M'URU'R'  
(M U) (R U R' U') (M' U) (R U' R') (11,13)  
   
  x'RU'R'ERUR'E'  
x' (R U') (R' E) (R U) (R' E') (8,10)  
   
  Yuki Hayashi Katsuyuki Konishi 002  EFO1   EFO1 m'UR'U'rR'URU'  
  (L' R U R' U'(R M')) (R' U R U') (9,10)  
   
EFO2 RUR'U'MURU'R'U'M'  
(R U R' U') (M U R U' R' U') M' (11,13)  
   
  x'ERU'R'E'RUR'  
x' E (R U') (R' E') (R U R') (8,10)  
   
  Yuki Hayashi Katsuyuki Konishi 003  EFA   EFA MURUR'U'M²URU'r'  
      (M U) (R U R' U') (M² U) (R U' (M R')) (11,15)  
flips    
twists no care
 
  Yuki Hayashi Katsuyuki Konishi 004  CTSp1   CTSm1 R²DR'U²RD'R'U²R'  
  flips (R² D) (R' U²) (R D') (R' U² R') (9,12)  
twists no care    
    R²B²RF²R'B²RF²R  
(R² B² R F²) (R' B² R F²) R (9,14)  
   
CTSm2    
   
   
CTSp1 R²D'RU²R'DRU²R  
(R² D') (R U²) (R' D) (R U² R) (9,12)  
   
  R²F²R'B²RF²R'B²R'  
(R² F²) (R' B² R F²) (R' B² R') (9,14)  
   
CTSp2 R²DR'URD'R²URU²R'  
(R² D) (R' U R D') (R² U) (R U² R') (11,14)  
   
  Yuki Hayashi Katsuyuki Konishi 005  CTNp1   CTNm1 RBR'FRB'R'F'  
  (R B) (R' F R B' R' F') (8)  
   
CTNm2 r'U'RULU'R'U  
((R' M) U' R U) (L U' R' U) (8)  
   
CTNp1 R'F'RB'R'FRB  
(R' F') (R B' R' F R B) (8)  
   
CTNp2 l'U'LURU'L'U  
((L' M') U' L U) (R U' L' U) (8)  
   
  Yuki Hayashi Katsuyuki Konishi 006  CTDp1   CTDp2 R'FRB'R'F'RB  
  (R' F R B') (R' F' R B) (8)  
   
CTDm2 R²DR'URD'R'U'R'  
(R² D) (R' U R D') (R' U' R') (9,10)  
   
  LF'L'BLFL'B'  
(L F' L' B) (L F L' B') (8)  
   
CTDm1 x'DRUR'D'RU'R'  
x' D (R U R') (D' R U' R') (8)  
   
  R²D'RU'R'DRUR  
(R² D') (R U' R' D) (R U R) (9,10)  
   
CTDp1 RB'R'FRBR'F'  
(R B' R' F) (R B R' F') (8)  
   
  Yuki Hayashi Katsuyuki Konishi 007  CTTp1   CTTp4 R'U²RUR'UR  
  (R' U²) (R U) (R' U R) (7,8)  
   
CTTp1 RUR'URU²R'  
(R U R' U) (R U² R') (7,8)  
   
CTTp2 L'U²LUL'UL  
(L' U²) (L U) (L' U L) (7,8)  
   
CTTp3 LUL'ULU²L'  
(L U L' U) (L U² L') (7,8)  
   
  Yuki Hayashi Katsuyuki Konishi 008  CTTm1   CTTm1 L'U'LU'L'U²L  
  (L' U' L U') (L' U² L) (7,8)  
   
CTTm4 LU²L'U'LU'L'  
(L U²) (L' U') (L U' L') (7,8)  
   
CTTm3 R'U'RU'R'U²R  
(R' U' R U') (R' U² R) (7,8)  
   
CTTm2 RU²R'U'RU'R'  
(R U²) (R' U') (R U' R') (7,8)  
   
  Yuki Hayashi Katsuyuki Konishi 009  CTR2   CTR2 R'U'RU'R'URU'R'U²R  
  (R' U' R U') (R' U R U' R' U² R) (11,12)  
   
CTR1 FRUR'U'RUR'U'RUR'U'F'  
F (R U R' U') (R U R' U') (R U R' U') F' (13)  
   
CTR1 R'U²RUR'U'RUR'UR  
(R' U² R U) (R' U' R U R' U R) (11,12)  
   
  Yuki Hayashi Katsuyuki Konishi 010  CTIp1   CTIm2 RzR²D²R'D²R'D²R²D  
  Rz (R² D²) (R' D²) (R' D²) (R² D) (9,14)  
   
  RU²R²U'R²U'R²U²R  
(R U²) (R² U' R² U') (R² U² R) (9,14)  
   
  RU'L'UR'ULUL'UL  
(R U') (L' U) (R' U L U L' U L) (11)  
   
CTIp1 RU²R'U'RU'R²U'RU'R'U²R  
(R U²) (R' U' R U') (R² U' R U' R' U² R) (12,.15)  
   
CTIp2 LU'R'UL'URUR'UR  
(L U') (R' U) (L' U) (R U R' U R) (11)  
   
CTIm1 R'U²RUR'UR²UR'URU²R'  
  (R' U² R U R' U) (R² U R' U R U² R') (13,16)  
  twists no care    
twists neighbours & flips
 
  Yuki HayashiKatsuyuki Konishi 011  CTSp1 EFNp1   CTSm1 EFNm2 LdRU'R'F'  
  twists no care L (D E) (R U' R' F') (6)  
twists neighbours & flips    
  CTSp2 EFNp2    
   
   
CTSp1 EFNp1 RdLU'L'B'  
R (D E) (L U' L' B') (6)  
   
CTSm2 EFNm1    
   
   
  Yuki Hayashi Katsuyuki Konishi 012  CTSp1 EFNp2   CTSm1 EFNm1 RU'R'U²RUyRU'R'U'F'  
  (R U') (R' U²) (R U) y (R U') (R' U') F' (11,12)  
   
CTSm2 EFNp1 RU²R'U'RU'R²yL'U'LUF  
(R U²) (R' U' R U' R²) y (L' U' L U F) (12,14)  
   
CTSp1 EFNp2 LU'L'U²LdRU'R'U'F'  
(L U') (L' U²) (L (D E)) (R U') (R' U' ) F' (11,12)  
   
CTSp2 EFNm2 LU²L'U'LU'L²y'L'U'LUF  
(L U²) (L' U' L U' L²) y' (L' U' L U F) (12,14)  
   
  Yuki Hayashi Katsuyuki Konishi 013  CTSp1 EFNm1   CTSp1 EFNm1 L'd'R'URB  
  L' (D' E') (R' U R B) (6)  
   
CTSp2 EFNp1 B'U'R'URB  
(B' U') (R' U R B) (6)  
   
CTSp1 EFNp2 R'd'L'ULF  
  R' (D' E') (L' U L F) (6)  
CTSm2 EFNm2    
   
   
  Yuki Hayashi Katsuyuki Konishi 014  CTSp1 EFNm2   CTSm1 EFNp1 L'ULU²L'd'R'URdL  
  (L' U) (L U²) (L' (D' E')) (R' U) (R (D E) L) (11,12)  
   
CTSm2 EFNp2 R'U²RUR'UR²yRUR'U'F'  
(R' U²) (R U R' U R²) y (R U R' U' F') (12,14)  
   
CTSp1 EFNm2 R'URU²R'U'y'R'URUB  
(R' U) (R U²) (R' U') y' (R' U) (R U) B (13,14)  
   
CTSp2 EFNm1 L'U²LUL'UL²y'RUR'U'F'  
(L' U²) (L U L' U L²) y' (R U R' U' F') (12,14)  
   
  Yuki Hayashi Katsuyuki Konishi 015  CTSp1 EFO1   CTSp1 EFO1 B'R'U'RyRU'R'U²R  
  B' (R' U' R) y (R U') (R' U² R) (9,10)  
   
CTSp2 EFO2 RUx'RU'R'UxU'R'  
(R U) x' (R U' R' U) x (U' R') (8)  
   
CTSm1 EFO1 FRUR'y'R'URU²R'  
(F R U R') y' (R' U) (R U² R') (9,10)  
   
CTSm2 EFO2 LUxLU'L'Ux'U'L'  
(L U) x (L U' L' U) x' (U' L') (8)  
   
  Yuki Hayashi Katsuyuki Konishi 016  CTSp1 EFO2   CTSm2 EFO1 FRUR'U'F'  
  F (R U R' U') F' (6)  
   
CTSp1 EFO2  
 
   
CTSp2 EFO1 F'L'U'LUF  
F' (L' U' L U) F (6)  
 
CTSm1 EFO2    
   
   
  Yuki Hayashi Katsuyuki Konishi 017  CTSp1 EFA   CTSm1 EFA B'R'U'Rd'RU²RB'R'B  
  B' (R' U' R (D' E') (R U²) (R B' R' B) (11,12)  
   
CTSm2 EFA x'RU'R'Ux'z'R²F'R'U'RUy'R²B'R'  
x' (R U' R' U) x' z' (R² F') (R' U' R U) y' (R² B' R') (13,15)  
   
CTSp1 EFA FRUR'Uy'R'U²R'FRF'  
F (R U) (R' U) y' (R' U²) (R' F R F') (11,12)  
   
CTSp2 EFA x'L'ULU'x'zL²FLUL'U'yL²BL  
  x' (L' U L U') x' z (L² F) (L U L' U') y (L² B L) (13,15)  
  twists straight & flips    
twists diagonal & flips
 
  Yuki Hayashi Katsuyuki Konishi 018  CTNp1 EFNp1   CTNm1 EFNm2 R'U²RdLU'L'd'R'U²R  
  twists straight & flips (R' U² R (D E)) (L U' L' (D' E')) (R' U² R) (11,13)  
twists diagonal & flips    
  CTNm2 EFNm1 RdL'd'R'URBR'  
(R (D E) L' (D' E')) (R' U R B R') (9)  
   
  RU²R'U'y'R'URyRU'R'  
(R U² R' U') y' (R' U R) y (R U' R') (10,11)  
   
CTNp1 EFNp1 L'U²LdRU'R'd'L'U²L  
(L' U² L (D E)) (R U' R' (D' E')) (L' U² L) (11,12)  
   
CTNp2 EFNp2 LdR'd'L'ULFL'  
(L (D E) R' (D' E')) (L' U L F L') (9)  
   
  Yuki Hayashi Katsuyuki Konishi 019  CTNp1 EFNp2   CTNm1 EFNm1 R²UR'B'RU'R²UlUl'  
  ((R² U R') B') (R U') (R² U (L M) U (L' M')) (  
   
  RB'R'BR'U²RdLUL'  
(R B' R' B) (R' U² R (D E)) (L U L') (11,12)  
   
CTNm2 EFNp1 RdLU'xUL'D'LU'L'  
(R (E D)) (L U') x (U L') (D' L) (U' L') (10)  
   
CTNp1 EFNp2 FR'FR²U'R'U'RUR'F²  
F (R' F) ((R² U') (R' U' R U R') F²) (11,13)  
   
CTNp2 EFNm2 LdRU'x'UR'D'RU'R'  
(L (E D)) (R U') x' (U R' D') (R U' R') (10)  
   
  Yuki Hayashi Katsuyuki Konishi 020  CTNp1 EFNm1   CTNp1 EFNm1 RU²R'd'L'ULdRU²R'  
  (R U² R' (D' E')) (L' U L (D E)) (R U² R') (11,13)  
   
CTNp2 EFNp1 L'd'RdLU'L'B'L  
(L' (D' E') R (D E)) (L U' L' B' L) (9)  
   
  R'FRUR'U'y'R²URB  
(R' F R U R' U') y' (R² U R B) (10,11)  
   
CTNm1 EFNp2 LU²L'd'R'URdLU²L'  
(L U² L' (D' E')) (R' U R (D E)) (L U² L') (11,13)  
   
CTNm2 EFNm2 R'U²RdLU'L'yR'UR  
(R' U² R (D E)) (L U' L') y (R' U R) (10,11)  
   
  R'd'LdRU'R'F'R  
(R' (D' E') L (D E)) (R U' R' F' R) (9)  
   
  Yuki Hayashi Katsuyuki Konishi 021  CTNp1 EFNm2   CTNm1 EFNp1 B'RB'R²URUR'U'RB²  
  B' (R B') ((R² U) (R U R' U' R) B²) (11,13)  
   
CTNm2 EFNp2 R'd'L'Ux'U'LDL'UL  
(R' (E' D')) (L' U) x' (U' L) (D L' U L) (9)  
   
CTNp1 EFNm2 R²U'RFR'UR²U'R'F'R  
(R² U' R F) (R' U R² U') (R' F' R) (11,13)  
   
  R'FRF'RU²R'd'L'U'L  
(R' F R F') (R U² R') (D' E') (L' U' L) (11,12)  
   
CTNp2 EFNm1 L'd'R'UxU'RDR'UR  
(L' (E' D')) (R' Ux) (U' R D) (R' U R) (10)  
   
  Yuki Hayashi Katsuyuki Konishi 022  CTNp1 EFO1   CTNp1 EFO1 RUR'U'xD'R'URE'  
  (R U R' U') x D' (R' U R E') (9,10)  
   
  RUR²U'R'FRURU'F'  
(R U R² U') (R' F R U R U') F' (11,12)  
   
CTNp2 EFO2    
   
   
CTNm1 EFO1 R'U'RUx'DRU'R'E  
(R' U' R U) x' D ( R U' R' E) (9,10)  
   
CTNm2 EFO2    
   
   
  R'U'R²URB'R'U'R'dL  
(R' U' R²) (U R B' R' U') (R' (D E) L) (11,12)  
   
  Yuki Hayashi Katsuyuki Konishi 023  CTNp1 EFO2   CTNm2 EFO1 RUR'U'R'FRF'  
  (R U R' U') (R' F R F') (8)  
   
CTNp1 EFO2    
   
   
CTNp2 EFO1 L'U'LULF'L'F  
(L' U' L U) (L F' L' F) (8)  
   
CTNm1 EFO2    
   
   
  Yuki Hayashi Katsuyuki Konishi 024  CTNp1 EFA   CTNm1 EFA R'U²FRUR'U'y'R²U²RB  
  (R' U²) (F R U R' U') y' (R² U² (R B)) (11,14)  
   
  mF'm'U²LF'L'ydR'U²R  
(R' L F' L' R) (U² L F' L') (y (D E)² R' U² R) (12,14)  
   
CTNm2 EFA RdLU'L²yR'U'RUBU'R'  
(R (D E)) (L U' L²) y (R' U' R U) (B U' R') (12,13)  
   
  R'U'y'R'UR²yRUR'U'y'R'dL  
(R' U') y' (R' U R²) y (R U R' U') y' (R' (D E) L) (12,13)  
   
CTNp1 EFA RU²B'R'U'RUyR²U²R'F'  
(R U²) B' (R' U' R U) y (R² U²) (R' F') (11,14)  
   
CTNp2 EFA LdRU'R²y'R'U'RUBU'R'  
  (L (D E)) (R U' R²) y' (R' U' R U) (B U' R') (12,13)  
  twists neighbours & flips    
twists positive & flips
 
  Yuki Hayashi Katsuyuki Konishi 025  CTDp1 EFNp1   CTDp1 EFNp1 x'RU'R'dRUR'U'  
  twists neighbours & flips x' (R U' R' (D E)) (R U R' U') (8)  
twists positive & flips    
  CTDp2 EFNp2 xR'URd'R'U'RU  
x (R' U R (D' E')) (R' U' R U) (8)  
   
CTDm2 EFNm2 xLU'L'dLUL'U'  
x (L U' L' (D E)) (L U L' U') (8)  
   
CTDm2 EFNm2 x'L'ULd'L'U'LU  
x' (L' U L (D' E')) (L' U' L U) (8)  
   
  Yuki Hayashi Katsuyuki Konishi 026  CTDp1 EFNp2   CTDm1 EFNp1 FRUR²U'y'R'URBR'  
  F (R U R² U') y' (R' U R B R') (10,11)  
   
CTDp1 EFNp2 RUR'URU'R'U'R'FRF'  
(R U R' U R U') (R' U') (R' F R F') (12)  
   
CTDp2 EFNm2 BLUL²d'R'URBR'  
B (L U L² (D' E')) (R' U R B R') (10,11)  
   
CTDm2 EFNm1 LUL'ULU'L'U'L'BLB'  
(L U L' U L U') (L' U') (L' B L B') (12)  
   
  Yuki Hayashi Katsuyuki Konishi 027  CTDp1 EFNm1   CTDp2 EFNp1 R'U'RU'R'URURB'R'B  
  (R' U' R U' R' U) (R U R B') (R' B) (11)  
   
CTDm2 EFNp2 B'R'U'R²UyRU'R'F'R  
B' (R' U' R² U) y (R U' R' F' R) (10,11)  
   
CTDm1 EFNm2 L'U'LU'L'ULULF'L'F  
(L' U' L U' L' U) (L U) (L F' L' F) (11)  
   
CTDp1 EFNm1 F'L'U'L²dRU'R'F'R  
F' (L' U' L² (D E)) (R U' R' F' R) (10,11)  
   
  Yuki Hayashi Katsuyuki Konishi 028  CTDp1 EFNm2   CTDm2 EFNp1 L'U²rLU'L'Ur'U²L  
  (L' U²) ((R M') L U') (L' U (R' M)) U² L) (10,12)  
   
CTDm1 EFNp2 LU²L²BLB'LU²L'  
(L U²) (L² B L B' L U² L') (9,12)  
   
CTDp1 EFNm2 R'U²lRU'R'Ul'U²R  
(R' U²) ((L M) R U') (R' U (L' M')) U² R) (10,12)  
   
CTDp2 EFNm1 RU²R²FRF'RU²R'  
(R U²) (R² F R F' R U² R') (9,12)  
   
  Yuki Hayashi Katsuyuki Konishi 029  CTDp1 EFO1   CTDm2 EFO1 RB'R'U'RUyRU'F'  
  (R B') (R' U' R U) y (R U') F') (9)  
   
  RUR'y'R'U'RdLU²L'  
(R U R') y' (R' U' R (D E)) (L U² L') (10,11)  
   
CTDm1 EFO2    
   
   
CTDp1 EFO1 LF'L'U'LUy'Rd'L'  
(L F' L' U' L U) y' (R (D' E') L') (9)  
   
  LUL'yR'U'RdLU²L'  
(L U L') y (R' U' R (D E)) (L U² L') (10,11)  
   
CTDp2 EFO2    
   
   
  Yuki Hayashi Katsuyuki Konishi 030  CTDp1 EFO2   CTDm1 EFO1 R'FRUR'U'yL'dR  
  (R' F R U R' U') y (L' (D E) R) (9)  
   
  R'U'RyRUR'U'y'R'U²R  
(R' U' R) y (R U R' U') y' (R' U² R) (10,11)  
   
CTDp1 EFO2    
   
   
CTDp2 EFO1 L'BLUL'U'yR'dL  
(L' B L U L' U') y (R' (D E) L) (9)  
   
  L'U'Ly'RUR'U'y'R'U²R  
(L' U' L) y' (R U R' U') y' (R' U² R) (10,11)  
   
CTDm2 EFO2    
   
   
  Yuki Hayashi Katsuyuki Konishi 031  CTDp1 EFA   CTDm2 EFA R'FRy'R'U²R'dR'URB  
  (R' F R) y' (R' U²) (R' (D E)) (R' U R B) (11,12)  
   
CTDp1 EFA RB'R'BUm'yDR'D's'  
(R B' R' B U) (L' R) y (D R' D') (B F') (10,12)  
   
CTDp1 EFA L'BLyR'U²R'dR'URB  
(L' B L) y ( R' U²) (R' (D E)) (R' U R B) (11,12)  
   
CTDp2 EFA B'RBR'U²R'dR'URB  
B' (R B R' U² (R' (D E)) (R' U R B) (11,12)  
   
  R'FRF'U'rR'y'R'Ule'  
  (R' F R F' U') ((R M') R') y' (R' U (L M) (U D') (11,12)  
  twists diagonal & flips    
twists negative & flips
 
  Yuki Hayashi Katsuyuki Konishi 032  CTTp1 EFNp1   CTTp1 EFNp1 B'R²FRF'RB  
  twists diagonal & flips B' (R² F R F' R B) (7,8)  
twists negative & flips    
  CTTp2 EFNp2 l'U²LUL'Ul  
(L' M') U²) (L U L' U (L M)) (7,8)  
   
CTTp3 EFNm2 x'D'L²ULU'LD  
x' D' (L² U) (L U' L) D (7,8)  
   
CTTp4 EFNm1 r'U²RUR'Ur  
(R' M) U²) (R U R' U (R M')) (7,8)  
   
  Yuki Hayashi Katsuyuki Konishi 033  CTTp1 EFNp2   CTTp4 EFNp1 x'DRU'RUR²D'  
  x' D (R U' R U R²) D' (7,8)  
   
CTTp1 EFNp2 rUR'URU²r'  
((R M') U) (R' U) (R U² (R' M)) (7,8)  
   
CTTp2 EFNm2 xDLU'LUL²D'  
x D (L U' L U L²) D' (7,8)  
   
CTTp3 EFNm1 lUL'ULU²l'  
(L M) U) (L' U) (L U²) (L' M')) (7,8)  
   
  Yuki Hayashi Katsuyuki Konishi 034  CTTp1 EFNm1   CTTp1 EFNm1 lUL'Ur'ULU'rU²R'  
  ((L M) U) (L' U (R' M) U) (L U' (R M')) (U² R') (11,12)  
   
  r'R²UR'URU²R'UM'  
(M R') (R² U R' U) (R U² R' U) M' (10,13)  
   
CTTp4 EFNm2 B'R'U'RUBy'B'R'U'RUB  
B' (R' U' R U) B y' B' (R' U' R U) B (12)  
   
CTTp3 EFNp2 rUR'Ul'URU'lU²L'  
((R M') U) (R' U (L' M') U) (R U' (L M)) (U² L') (11,12)  
   
CTTp3 EFNp2 rR'U²RUR'URU²R'U'M  
(M' R) (R' U² R U) (R' U R U² R' U') M (12,14)  
   
CTTp2 EFNp1 F'L'U'LUFy'F'L'U'LUF  
F' (L' U' L U) F y' F' (L' U' L U) F (12)  
   
  Yuki Hayashi Katsuyuki Konishi 035  CTTp1 EFNm2   CTTp3 EFNp1 RUR'xz'R'URB'R'U'R  
  (R U R') x z' ((R' U R B') (R' U' R)) (10)  
   
CTTp4 EFNp2 RUR²y'R'U'RyR²U'R²U²R  
(R U R²) y' (R' U' R) y (R² U' R² U² R) (11,15)  
   
CTTp1 EFNm2 LUL'yx'L'ULF'L'U'L  
(L U L') y x' ((L' U L F') (L' U' L)) (10)  
   
CTTp2 EFNm1 LUL²yR'U'RyR²U'R²U²R  
(L U L²) y (R' U' R) y (R² U' R² U² R) (11,15)  
   
  Yuki Hayashi Katsuyuki Konishi 036  CTTp1 EFO1   CTTp3 EFO1 x'RU'R'F'RUR'xyR'UR  
  x' (R U' R' F') (R U R') x y (R' U R) (10)  
   
CTTp4 EFO2 RdLU²L'U'LUL'B'  
(R (D E)) (L U² L' U' L U L') B' (10,11)  
   
CTTp1 EFO1 xLU'L'B'LUL'x'yL'UL  
x ( L U' L' B') (L U L') x' y (L' U L) (10)  
   
CTTp2 EFO2 LdRU²R'U'RUR'F'  
(L (D E)) (R U² R' U') (R U R' F') (10,11)  
   
  Yuki Hayashi Katsuyuki Konishi 037  CTTp1 EFO2   CTTp4 EFO1 L'B'LR'U'RUL'BL  
  (L' B' L) ((R' U' R U) (L' B L)) (10)  
   
CTTp1 EFO2 LU²L²U'L²y'RU'R'y'R²UR  
(L U² L² U' L²) y' (R U' R') y' (R² U R) (11,15)  
   
CTTp2 EFO1 R'F'RL'U'LUR'FR  
(R' F' R) ((L' U' L U) (R' F R)) (10)  
   
CTTp3 EFO2 RU²R²U'R²yRU'R'y'R²UR  
(R U² R² U' R²) y (R U' R') y' (R² U R) (11,15)  
   
  Yuki Hayashi Katsuyuki Konishi 038  CTTp1 EFA   CTTp3 EFA R'rUr'U²rUR'UR²L'  
  R' (R M') U (R' M) U² (R M') U (R' U R²) L' (11,13)  
   
  M'Ur'U²rUR'UR²r'  
(M' U (R' M) U² (R M') U R' U R² (R' M ) (10,12)  
   
CTTp4 EFA RU²x'RU'R'dRURU'RB'  
(R U²) x' (R U' R' (D E)) (R U) ((R U' R) B') (12,13)  
   
CTTp1 EFA L'lUl'U²lUL'UL²R'  
(L' (L M) U (L' M') U² (L M) U) (L' U L²) R' (11,13)  
   
CTTp2 EFA LU²xLU'L'Uy'LULU'LF'  
  (L U²) x (L U' L' U) y' (L U) (L U') (L F') (12,13)  
  twists positive & flips    
twists regular & flips
 
  Yuki Hayashi Katsuyuki Konishi 039  CTTm1 EFNm1   CTTm4 EFNp1 lU²L'U'LU'l'  
  twists positive & flips ((L M) U²) (L' U' L U' (L' M')) (7,8)  
twists regular & flips    
  CTTm3 EFNp2 x'DR²U'R'UR'D'  
x' D (R² U') (R' U R') D' (7,8)  
   
CTTm2 EFNm2 rU²R'U'RU'r'  
((R M') U²) (R' U' R U' (R' M)) (7,8)  
 
CTTm1 EFNm1 xDL²U'L'UL'D'  
x D (L² U') (L' U L') D' (7,8)  
   
  Yuki Hayashi Katsuyuki Konishi 040  CTTm1 EFNm2   CTTm4 EFNm1 x'D'L'UL'U'L²D  
  x' D' (L' U L' U' L²) D (7,8)  
   
CTTm1 EFNm2 l'U'LU'L'U²l  
((L' M') U') (L U') (L' U²) (L M)) (7,8)  
   
CTTm2 EFNp2 B'R'FR'F'R²B  
B' (R' F R' F' R²) B (7,8)  
   
CTTm3 EFNp1 r'U'RU'R'U²r  
((R' M) U') (R U') (R' U² (R M')) (7,8)  
   
  Yuki Hayashi Katsuyuki Konishi 041  CTTm1 EFNp2   CTTm2 EFNp1 R'U'R²yRUR'y'R²UR²U²R'  
  (R' U' R²) y (R U R') y' (R² U R² U² R') (11,15)  
   
CTTm1 EFNp2 R'U'Ry'x'RU'R'FRUR'  
(R' U' R) y' x' (R U') (R' F R U R') (10)  
   
CTTm4 EFNm2 L'U'L²y'RUR'y'R²UR²U²R'  
(L' U' L²) y' (R U R') y' (R² U R² U² R') (11,15)  
   
CTTm4 EFNm2 L'U'Lx'UL'U'FULU'  
(L' U' L) x' (U L' U') F (U L U') (10)  
   
  Yuki Hayashi Katsuyuki Konishi 042  CTTm1 EFNp1   CTTm2 EFNm1 r'U'RU'lU'R'Ul'U²L  
  ((R' M) U') (R U' (L M) U') (R' U (L' M')) (U² L) (11,12)  
   
  MU²R'U'RU'R'U²RUM'  
(M U²) (R' U' R U') (R' U² R U M') (11,15)  
   
  MU²R'U'RU'R'U²RUM'  
(M U²) (R' U' R U') (R' U² R U M') (11,15)  
   
CTTm4 EFNp2 BLUL'U'B'yBLUL'U'B'  
B (L U L' U') B' y B (L U L' U') B' (12)  
   
CTTm3 EFNm2 l'U'LU'rU'L'Ur'U²R  
((L' M') U') (L U' (R M') U') (L' U (R' M)) (U² R) (11,12)  
   
CTTm3 EFNm2 l'U'LU'rU'L'Ur'U²R  
((L' M') U') (L U' (R M') U') (L' U (R' M)) (U² R) (11,12)  
   
  rR²U'RU'R'U²RU'M  
(R M') (R² U' R U' R' U² R U') M (10,13)  
   
CTTm2 EFNm1 FRUR'U'F'yFRUR'U'F'  
F (R U R' U') F' y F (R U R' U') F' (12)  
   
  Yuki Hayashi Katsuyuki Konishi 043  CTTm1 EFO1   CTTm1 EFO1 R'FRUl'U'ly'RU'R'  
  ((R' F R U (L' M') U' (L M)) y' (R U' R') (10)  
   
  B'R'U'R²UR'BRU'R'  
B' (R' U' R²) (U R' B) (R U' R') (10,11)  
   
CTTm4 EFO2 L'd'R'U²RUR'U'RB  
(L' (D' E')) (R' U² R U R' U' R B) (10,11)  
   
CTTm3 EFO1 x'L'ULFL'U'Lxy'LU'L'  
x' (L' U L) F (L' U' L) x y' (L U' L') (10)  
   
CTTm2 EFO2 R'd'L'U²LUL'U'LF  
(R' (D' E')) (L' U² L U L' U' L F) (10,11)  
   
  Yuki Hayashi Katsuyuki Konishi 044  CTTm1 EFO2   CTTm2 EFO1 LFL'RUR'U'LF'L'  
  (L F L') ((R U R' U') (L F' L')) (10)  
   
CTTm1 EFO2 R'U²R²UR²y'R'URyR²U'R'  
(R' U² R² U R²) y' (R' U R) y (R² U' R') (11,15)  
   
CTTm4 EFO1 RBR'LUL'U'RB'R'  
(R B R') ((L U L' U') (R B' R')) (10)  
   
CTTm3 EFO2 L'U²L²UL²yR'URyR²U'R'  
(L' U² L² U L²) y (R' U R) y (R² U' R') (11,15)  
   
  Yuki Hayashi Katsuyuki Konishi 045  CTTm1 EFA   CTTm2 EFA R'U²xR'URU'yR'U'R'UR'F  
  (R' U²) x (R' U R U') y (R' U') (R' U R' F) (12,13)  
   
CTTm1 EFA Rr'U'rU²r'U'RU'R²L  
(R (R' M) U' (R M') U² (R' M) U') (R U' R²) L (11,13)  
   
CTTm4 EFA L'U²x'L'ULU'yL'U'L'UL'B  
  (L' U²) x' (L' U L U') y (L' U') (L' U) (L' B) (12,13)  
   
CTTm3 EFA Ll'U'lU²l'U'LU'L²R  
  (L (L' M') U' (L M) U² (L' M') U') (L U' L²) R (11,13)  
  twists negative & flips    
twists irregular & flips
 
  Yuki Hayashi Katsuyuki Konishi 046  CTR2 EFNp1   CTR2 EFNm2 rUR'URU'R'URU²r'  
  twists negative & flips ((R M') U) (R' U R U' R' U) (R U²) (R' M) (11,12)  
twists irregular & flips    
  CTR1 EFNm1 ld²R'U'RUR'U'RU'r'  
(L M) (D² E²) (R' U') (R U R' U' R U' (R' M)) (11,12)  
   
CTR2 EFNp1 lUL'ULU'L'ULU²l'  
((L M) U) (L' U L U' L' U) (L U²) (L' M') (11,12)  
   
CTR1 EFNp2 rU²R'U'RUR'U'RU'r'  
((R M') U²) (R' U') (R U R' U' R U' (R' M)) (11,12)  
   
  Yuki Hayashi Katsuyuki Konishi 047  CTR2 EFNm1   CTR1 EFNm2 l'd²RUR'U'RUR'Ur  
  (L' M') (D² E²) (R U R' U' R U R' U (R M') (11,12)  
   
CTR2 EFNm1 r'U'RU'R'URU'R'U²r  
((R' M) U') (R U' R' U R U') (R' U²) (R M') (11,12)  
   
CTR1 EFNp1 r'U²RUR'U'RUR'Ur  
((R' M) U²) (R U R' U' R U R' U (R M')) (11,12)  
   
CTR2 EFNp2 l'U'LU'L'ULU'L'U²l  
((L' M') U') (L U' L' U L U') (L' U²) (L M) (11,12)  
   
  Yuki Hayashi Katsuyuki Konishi 048  CTR1 EFO2   CTR2 EFO1 FRUR'U'Ry'R'FRB'R'F'  
  F (R U R' U' R) y' (R' F R B' R' F') (11)  
   
CTR2 EFO1 RBR'ULU'L'ULU'L'RB'R'  
(R B R' U) (L U' L' U L U' L') (R B' R') (14)  
   
CTR1 EFO2    
   
   
  Yuki Hayashi Katsuyuki Konishi 049  CTR2 EFO2   CTR2 EFO2 R'U²R²UR'URU²x'U'R'U  
  (R' U²) (R² U) (R' U R U²) x' (U' R' U) (11,14)  
   
  RU²R²U'RU'R'U²xURU'  
(R U²) (R² U' R U' R' U²) x (U R U') (11,14)  
   
CTR1 EFO1 B'R'dR'U'R²yRBR'F'R  
(B' R' (D E)) (R' U' R²) y (R B R' F' R) (11,12)  
   
  Yuki Hayashi Katsuyuki Konishi 050  CTR2 EFA   CTR2 EFA RU²R²FRF'U²R'FRF'  
  ((R U²) (R² F R F') U²) (R' F R F') (11,14)  
   
CTR1 EFA    
   
  twists regular & flips    
edge change no care
 
  Yuki Hayashi Katsuyuki Konishi 051  CTIp1 EFNp1   CTIm1 EFNm2 x'D'LD²R'D²L'D²RD'  
  twists regular & flips x' (D' L D²) (R' D²) (L' D²) (R D') (9,12)  
edge change no care    
  CTIm2 EFNm1 RB'RBR²d²yRB'R'B  
(R B' R B R²) (D² E² y) (R B' R' B) (10,12)  
   
CTIp1 EFNp1 xD'RD²L'D²R'D²LD'  
x (D' R D²) (L' D²) (R' D²) (L D') (9,12)  
   
CTIp2 EFNp2 xLU'LUL²B²zLU'L'U  
x (L U' L U L²) B² z (L U' L' U) (10,12)  
   
CTIp2 EFNp2 R'FR²B'R²F'R²BR'  
(R' F) (R² B') (R² F') (R² B R') (9,12)  
   
  Yuki Hayashi Katsuyuki Konishi 052  CTIp1 EFNp2   CTIp2 EFNm2 F'L'U'LUL'U'LUF  
  F' ( L' U' L U L' U' L U) F (10)  
   
CTIm1 EFNm1 R'd'L'ULU'L'Ux'LU  
((R' M) (D' E')) (L' U L U' L' U) x' (L U) (10)  
   
CTIm2 EFNp1 B'R'U'RUR'U'RUB  
B' (R' U' R U R' U' R U) B (10)  
   
CTIp1 EFNp2 l'd'R'URU'R'UxRU  
((L' M') (D' E') (R' U R U' R' U) x (R U) (10)  
   
  Yuki Hayashi Katsuyuki Konishi 053  CTIp1 EFNm1   CTIm2 EFNm2 R'FR'F'R²d²y'R'FRF'  
  ((R' F R' F' R²) (D² E²) y')) (R' F R F') (10,12)  
   
CTIp1 EFNm1 xDL'D²RD²LD²R'D  
x (D L' D²) (R D²) (L D²) (R' D) (9,12)  
   
CTIp2 EFNp1 x'L'UL'U'L²F²zL'ULU'  
x' (L' U L' U' L²) F² z (L' U L U') (10,12)  
   
CTIp2 EFNp1 RB'R²FR²BR²F'R  
(R B') (R² F R² B R² F' R) (9,12)  
   
CTIm1 EFNp2 x'DR'D²LD²RD²L'D  
x' (D R' D²) (L D²) (R D²) (L' D) (9,12)  
   
  Yuki Hayashi Katsuyuki Konishi 054  CTIp1 EFNm2   CTIp1 EFNm2 rdLU'L'ULU'xL'U'  
  ((R M') (D E)) (L U' L' U L U') x (L' U') (10)  
   
CTIp2 EFNm1 BLUL'U'LUL'U'B'  
B (L U L' U' L U L' U') B' (10)  
   
CTIm1 EFNp1 ldRU'R'URU'x'R'U'  
((L M) (D E)) (R U' R' U R U') x' (R' U') (10)  
   
CTIm2 EFNp2 FRUR'U'RUR'U'F'  
F (R U R' U' R U R' U') F' (10)  
   
  Yuki Hayashi Katsuyuki Konishi 055  CTIp1 EFO1   CTIp2 EFO2 R'U'RU'R'dR'URB  
  (R' U' R U' R' (D E)) (R' U R B) (10)  
   
  RUR'URd'RU'R'F'  
(R U R' U R (D' E')) (R U' R' F') (10)  
   
CTIm1 EFO1 B'R'U'Rd'RUR'UR  
(B' R' U' R (D' E')) (R U R' U R) (10)  
   
CTIm2 EFO2 LUL'ULd'LU'L'B'  
(L U L' U L (D' E')) (L U' L' B') (10)  
   
CTIp1 EFO1 F'L'U'Ld'LUL'UL  
(F' L' U' L (D' E')) (L U L' U L) (10)  
   
  FRUR'dR'U'RU'R'  
(F R U R' (D E)) (R' U' R U' R') (10)  
   
  Yuki Hayashi Katsuyuki Konishi 056  CTIp1 EFO2   CTIm1 EFO2 LdRU'R'URU'R'F'  
  L (D E) ((R U' R' U) (R U') (R' F')) (10)  
   
CTIm1 EFO2 R'U'R'FRF'RU'R'U²R  
(R' U') (R' F R F') (R U' R' U² R) (11,12)  
   
CTIm2 EFO1 RU²R'U²R'FR²UR'U'F'  
(R U²) (R' U²) (R' F R² U R' U' F') (11,14)  
   
  R'U²RU²RB'R²U'RdL  
(R' U²) (R U²) (R B') (R² U' R (D E) L) (11,14)  
   
CTIp1 EFO2 L'd'R'URU'R'URB  
L' (D' E') ((R' U) (R U') (R' U R B)) (10)  
   
CTIp1 EFO2 RURB'R'BR'URU²R'  
(R U) (R B') (R' B R' U) (R U² R') (11,12)  
   
CTIp2 EFO1 R'U²LU'L'RU²RB'R'U'B  
(R' U²) (L U' L') (R U²) (R B') (R' U') B (12,14)  
   
CTIp2 EFO1 FURU'R'URU'R'F'  
F U ((R U') (R' U) (R U') (R' F')) (10)  
   
  Yuki Hayashi Katsuyuki Konishi 057  CTIp1 EFA   CTIp2 EFA FR'F'RU²FR'F'R²U²R'  
  ((F R' F' R) U²) ((F R' F' R²) U² R') (11,14)  
   
CTIm1 EFA xR'URU'B²R'URU²yR²U  
x (R' U R U') B² (R' U R U²) y (R² U) (11,14)  
   
CTIm2 EFA F'LFL'U²F'LFL²U²L  
((F' L F L') U²) ((F' L F L²) U² L) (11,14)  
   
CTIp1 EFA x'RU'R'UF²RU'R'U²y'R²U'  
  x' (R U' R' U) F² (R U' R' U² y' R² U') (11,14)  
  twists irregular & flips    
corner change no care
 
  Yuki Hayashi Katsuyuki Konishi 058  EMTp1   EMTp4 L²dmF²m'dR²  
  twists irregular & flips L²(E D) (R' L) F² (R L') (E D) R² (7,13)  
corner change no care    
  EMTp1 R'UR'U'R'U'R'URUR²  
(R' U R' U') (R' U' R' U) (R U R²) (11,12)  
   
EMTp2 R²dm'B²mdL²  
R² (E D) (R L') B² (R' L) (E D) L² (8,13)  
   
EMTp3 R²URUR'U'R'U'R'UR'  
(R² U) (R U R' U') (R' U') (R' U R') (11,12)  
   
  Yuki Hayashi Katsuyuki Konishi 059  EMTm1   EMTm2 L²d'm'B²md'R²  
  L² (E' D') (R L') B² (R' L) (E' D') R² (7,13)  
   
EMTm1 R²U'R'U'RURURU'R  
(R² U') (R' U' R U) (R U) (R U' R) (11,12)  
   
EMTm4 R²d'mF²m'd'L²  
R² (E' D') (R' L) F² (R L') (E' D') L² (8,13)  
   
EMTm3 RU'RURURU'R'U'R²  
  (R U' R U) (R U R U') (R' U' R²) (11,12)  
   

 
  Yuki Hayashi Katsuyuki Konishi 060  EMP1   EMP1 x'RU'R'UDR'eR'URz'l'R'U  
  x' (R U' R' U) (D R' D U') (R' U R) z' ((L' M') R' U) (13,15)  
   
EMP2 x'FRU'R'UDR'eR'URD²  
  x' F (R U' R' U) (D R' D U') (R' U R) D² (12,14)  
   

 
  Yuki Hayashi Katsuyuki Konishi 061  EMC   EMC L'R'U²RLy'RLU²L'R'  
    L' (R' U² R) L y' R (L U² L') R' (10,,12)  
  edge change no care    
straight corner swaps with edges
 
  Yuki Hayashi Katsuyuki Konishi 062  CMTp1   CMTp2 R'FR'B²RF'R'B²R²  
  edge change no care (R' F R') B² (R F' R') B² R² (9,12)  
straight corner swaps with edges    
  CMTp3 R²F²R'B'RF²R'BR'  
(R² F²) (R' B' R) F² (R' B R') (9,12)  
   
CMTp4 L'BL'b²RB'R'F²R²  
(L' B L') (B² S²) (R B' R') F² R² (9,12)  
   
CMTp1 L²f²R'F'RB²R'FR'  
(L² (F² S²)) (R' F' R) B² (R' F R') (9,12)  
   
  Yuki HayashiKatsuyuki Konishi 063  CMTm1   CMTm1 R²B²RFR'B²RF'R  
  (R² B²) (R F R') B² (R F' R) (9,12)  
   
CMTm4 RB'RF²R'BRF²R²  
(R B' R) F² (R' B R) F² R² (9,12)  
   
CMTm3 L²b²RBR'F²RB'R  
(L² (B² S²)) (R B R') (F² R B' R) (9,12)  
   
CMTm2 LF'Lf²R'FRB²R²  
  (L F' L) (F² S²) (R' F R) B² R² (9,12)  
   

 
  Yuki Hayashi Katsuyuki Konishi 064  CMP1   CMP1 x'RU'R'DRUR'D²L'ULDL'U'L  
  x' (R U' R' D) (R U R' D²) (L' U L D) (L' U' L) (15,16)  
   
CMP2 R'UL'D²LU'L'RUR'D²RU'L  
  (R' U) (L' D²) (L U' L') (R U R' D²) (R U' L) (14,16)  
   

 
  Yuki Hayashi Katsuyuki Konishi 065  CMC   CMC  
     
  corner change no care    
diagonal corner swaps with edges
 
  Yuki Hayashi Katsuyuki Konishi 066  CMSp1 EMS1   CMSp2 EMS2 FRU'R'URUR²F'RURU'R'  
  corner change no care F (R U' R' U) (R U R²) (F' R U) (R U' R') (14,15)  
diagonal corner swaps with edges    
    RUR'U'R'FR²U'R'U'RUR'F'  
(R U R' U') (R' F R² U' R' U' R U) (R' F') (14,15)  
   
CMSm1 EMS1 FdR'U'R'FR²U'R'U'RUR'F'  
(F (D E)) (R' U') (R' F R² U' R' U' R U) (R' F') (14,15)  
   
CMSm2 EMS2 L'U'LULF'L²ULUL'U'LF  
(L' U' L U) (L F' L² U L U L' U') (L F) (14,15)  
   
CMSp1 EMS1 BdL'U'L'BL²U'L'U'LUL'B'  
(B (D E)) (L' U') (L' B L² U' L' U' L U) (L' B') (14,15)  
   
  Yuki Hayashi Katsuyuki Konishi 067  CMSp1 EMS2   CMSp1 EMS2 R'URU'R²y'R'U'RUyxRUR'U'R²B'  
  ((R' U) (R U' R²)) y' (R' U' R U) y x (R U R' U' R² B') (15,17)  
   
CMSp2 EMS1    
   
   
CMSm1 EMS2 RU'R'UR²yRUR'U'y'x'R'U'RUR²F  
(R U') (R' U R²) y (R U R' U') y' x' (R' U' R U R² F) (15,17)  
   
CMSm2 EMS1    
     
   

 
  Yuki Hayashi Katsuyuki Konishi 068  CMSp1 EMDp1   CMSp2 EMDp2 B²LUL'y'r²y'RU'RUR²  
  B² (L U L') y' (R² M²) y' (R U' R U R²) (10,13)  
   
CMSm1 EMDm2 RU'LU²R'URU²R'aU  
(R U') (L U²) (R' U) (R U²) (R' L') U (10,12)  
   
  RaU²R'U'RU²L'UR'U'  
(R L U²) (R' U') (R U²) (L' U R') U' (10,13)  
   
CMSm2 EMDm1 F²RUR'yr²y'RU'RUR²  
F² (R U R') y (R² M²) y' (R U' R U R²)   (10,13)  
   
  LU²L'U'LdL'UR'U'L  
(L U² L' U' L (D E)²) (L' U R' U' L)   (12,13)  
   
  RaU²L'U'LU²R'UL'U'  
(R L U² L' U' L U²) (R' U L') U' (10,13)  
   
CMSp1 EMDp1 LU'RU²L'ULU²R'aU  
(L U') (R U²) (L' U) (L U²) (L' R') U (10,13)  
   
  Yuki Hayashi Katsuyuki Konishi 069  CMSp1 EMDm1   CMSp2 EMDp1 F²L'U'LF²xl'UR'U'R²  
  F² (L' U' L) F² x ((L' M') U R' U' R²) (10,13)  
   
  R'U²RUR'dRU'LUR'  
(R' U²) (R U R' (D E)²) (R U' L U R') (12,13)  
   
CMSm1 EMDp2 L'UR'U²LU'L'U²RaU'  
(L' U) (R' U²) (L U') (L' U²) (R L) U' (10,12)  
   
CMSm2 EMDm2 B²R'U'Rf²R'UR'U'R²  
B² (R' U' R) (F² S²) (R' U R' U' R²)   (10,13)  
   
  L'U²LUL'U²RU'LUR'  
(L' U²) (L U L' U²) (R U' L U R')   (11,13)  
   
  R'aU²LUL'U²RU'LU  
(L' R' U²) (L U L' U²) (R U' L) U (10,13)  
   
CMSp1 EMDm1 R'UL'U²RU'R'U²RaU'  
(R' U) (L' U²) (R U') (R' U²) (R L) U' (10,13)  
   
  Yuki Hayashi Katsuyuki Konishi 070  CMSp1 EMDp2   CMSp1 EMDp2 R'U²RU²R'FRUR'U'R'F'R²U'  
  (R' U²) (R U²) (R' F R U R' U') (R' F' R²) U' (14,17)  
   
  R'U²RU'y'R'FRB'R'F'Ryz'L'UL'  
((R' U²) (R U')) y' (R' F R B') (R' F' R) y z' (L' U L') (14,15)  
   
CMSp2 EMDm2 R²FRURU'R'F'RU²R'U²RU  
(R² F R U R U') (R' F' R) (U² R' U² R U) (14,17)  
   
CMSm1 EMDm1 L'dRU'y'R'FRB'R'F'Ryz'L'UL'  
(L' (D E)²) R U') y' (R' F R B') (R' F' R) y z' (L' U L') (15)  
   
  BRUR'BRd'RURU'R'F'R²  
B R U R' B R (D' E') R U R U' R' F' R² (14,15)  
   
CMSm2 EMDp1 R²FRUR'U'R'dx'R'U'RF'R'U'  
(R² F R U R' U') (R' (D E)) x' (R' U' R F') (R' U') (14,15)  
   
  Yuki Hayashi Katsuyuki Konishi 071  CMSp1 EMDm2   CMSp1 EMDm2 LU²L'Uy'x'RU'R'DRUR'Fz'R'F  
  ((L U²) (L' U)) y' x' (R U' R' D) (R U R' F) z' (R' F) (14,15)  
   
  F'R'U'RF'R'dR'U'R'URBR²  
(F' R' U' R F') (R' (D E)) (R' U') (R' U R B R²) (14,15)  
   
CMSp2 EMDm1 R²B'R'U'R'URBR'U²RU²R'U'  
(R² B' R' U') (R' U R B R' U²) (R U²) (R' U') (14,17)  
   
CMSm1 EMDp1 RU²R'Uyx'RU'R'DRUR'Fz'R'F  
(R U²) (R' U) y x' (R U' R' D) (R U R' F) z' (R' F) (14,15)  
   
  RU²R'U²RB'R'U'RURBR²U  
(R U² R' U²) (R B' R' U') (R U R B R²) U (14,17)  
   
CMSm2 EMDp2 R²B'R'U'RURd'lDR'FRD  
  (R² B' R' U' R U R (D' E')) ((L M) D) (R' F R D) (14,15)  
  straight corner swaps with edges    
strange swap
 
  Yuki Hayashi Katsuyuki Konishi 072  CMD1 EMS1   CMD1 EMS1 zU'RD'R²UR'DU'RD'R²UR'D  
  straight corner swaps with edges z (U' R D') (R² U R' D) (U' R D') (R² U R' D) (14,16)  
strange swap    
    L'UR'U²LU'L'RUR'U²LU'R  
(L 'U) (R' U²) (L U' L') (R U R' U²) (L U') R (14,16)  
   
  Yuki Hayashi Katsuyuki Konishi 073  CMD2 EMS1   CMD2 EMS1 zBR'FR²B'RF'BR'FR²B'RF'  
  z ( B R' F) (R² B' R F') (B R' F) (R² B' R F') (14,16)  
   
  RU'LU²R'URL'U'LU²R'UL'  
  (R U') (L U²) (R' U R) (L' U' L U²) (R' U) L' (14,16)  
   

 
  Yuki Hayashi Katsuyuki Konishi 074  CMD1 EMDp2   CMD2 EMDp1 R'UR'U'x²y'R'UR'U'x'R²U'R'URU  
  (R' U R' U') x² y' (R' U R' U') (x' (R² U')) (R' U R U) (14,15)  
   
CMD1 EMDp2 RU'RUx²yRU'RUxR²URU'R'U'  
(R U' R U) x² y (R U' R U) x (R² U) (R U' R' U') (14,15)  
   
CMD2 EMDm2 L'UL'U'x²yR'UR'U'x'R²U'R'URU  
(L' U L' U') x² y (R' U R' U') (x' (R² U')) (R' U R U) (14,15)  
   
CMD1 EMDm1 LU'LUx²y'RU'RUxR²URU'R'U'  
(L U' L U) x² y' (R U' R U) x (R² U) (R U' R' U') (14,15)  
   
  Yuki Hayashi Katsuyuki Konishi 075  CMD1 EMDp1   CMD1 EMDm2 B'R'URf'R'dRUR'zxl²dR²  
  B' (R' U R (F' S')) (R' (D E)) (R U R') z x ((L² M²) (D E) R²) (13,15)  
   
CMD2 EMDm1 FRU'R'FDR'yxR'U'RzR²F'U²  
F (R U') (R' F) (D R') y x (R' U' R) z (R² F' U²) (13,15)  
   
CMD1 EMDp1    
     
   
CMD2 EMDp2    
     
  diagonal corner swap with edges    
diagonal corner swap all ttwists
 
  Yuki Hayashi Katsuyuki Konishi 076  CMSp1 EMXp1   CMSp2 EMXp2 R²u'RU'RUR'uR²yRU'R'  
  diagonal corner swap with edges (R² (U' E) R U') (R U) (R' (U E') R²) y (R U' R') (13,15)  
diagonal corner swap all ttwists    
  CMSm1 EMXm2 L'R'U²RayRU'LU²R'UL'U²  
L' (R' U² R L) y (R U') (L U²) (R' U) (L' U²) (12,14)  
   
CMSm2 EMXm1 L²u'LU'LUL'uL²y'RU'R'  
(L² (U' E)) ((L U' L U L') (U E') L²) y' (R U' R') (12,14)  
   
CMSp1 EMXp1 L'R'U²Ray'RU'LU²R'UL'U²  
L' (R' U² R L) y' (R U') (L U²) (R' U) (L' U²) (12,16)  
   
  Yuki Hayashi Katsuyuki Konishi 077  CMSp1 EMXp2   CMSp2 EMXm2 R'U'RyR²uR'URU'Rz'xR'U²  
  (R' U' R) y (R² (U E')) (R' U) (R U' R) z' x (R' U²) (12,14)  
   
CMSm1 EMXm1 L'UR'U²LU'RyRaU²R'aU²  
(L' U) (R' U²) (L U') R y (R L U²) (L' R' U²) (11,16)  
   
CMSm2 EMXp1 L'U'Ly'R²uR'URU'Ru'R²  
(L' U' L) y' (R² (U E')) (R' U) (R U' R) ((U' E) R²) (12,14)  
   
CMSp1 EMXp2 R'UL'U²RU'Ly'RaU²R'aU²  
(R' U) (L' U²) (R U') L y' (R L U²) (L' R' U²) (11,16)  
   
  Yuki Hayashi Katsuyuki Konishi 078  CMSp1 EMXm2   CMSp2 EMXm1 RUR'y'R²u'RU'R'UR'z'x'RU²  
  (R U R') y' (R² (U' E) R U') (R' U R') z' x'(RU²) (12,14)  
   
CMSm1 EMXp1 RU'LU²R'UL'yR'aU²RaU²  
(R U') (L U²) (R' U) L' y (L' R' U²) (L R U²) (11,16)  
   
CMSm2 EMXp2 LUL'yR²u'RU'R'UR'z'x'RU²  
(L U L') y (R² (U' E) R U') (R' U R') z' x' (R U²) (12,14)  
   
CMSp1 EMXm2 LU'RU²L'UR'yR'aU²RaU²  
(L U') (R U²) (L' U) R' y (L' R' U²) (L R U²) (11,16)  
   
  Yuki Hayashi Katsuyuki Konishi 079  CMSp1 EMXm1   CMSp2 EMXp1 R²uR'UR'U'Ru'R²y'R'UR  
  (R² (U E')) (R' U R' U' R (U' E) R²) y' (R' U R) (12,14)  
   
CMSm1 EMXp2 LRU²R'ay'L'UR'U²LU'RU²  
L (R U² R' L') y' (L' U) (R' U²) (L U') (R U²) (12,14)  
   
CMSm2 EMXm2 L²uL'UL'U'Lu'L²yR'UR  
(L² (U E') L' U) ((L' U' L) (U' E) L²) y (R' U R) (12,14)  
   
CMSp1 EMXm1 LRU²R'ayL'UR'U²LU'RU²  
L (R U² R' L') y (L' U) (R' U²) (L U') (R U²) (12,16)  
   
strange swap    
straight corner swap with neighboured twist
                                                               
080 CMD1 CTSp1   CMD1 CTSp1  
  strange swap  
straight corner swap with neighboured twist    
  081 CMD1 CTNp12   CMD1 CTNp1  
   
   
  082 CMD1 CTDp1   CMD1 CTDp1  
   
   
  083 CMD1 CTTp1   CMD1 CTTp1  
   
   
  084 CMD1 CTTm1   CMD1 CTTm1  
   
   
  085 CMD1 CTR1   CMD1 CTR1  
   
   
  086 CMD1 CTIp1   CMD1 CTIp1  
       
diagonal corner swap with twists    
straight corner swap with neighboured twist
 
  087  CTSp1   CTSp1  
  diagonal corner swap with twists  
straight corner swap with neighboured twist    
  088  CMSp1 CTSp1   CMSp1 CTSp1  
   
   
  089  CMSp1 CTSp2   CMSp1 CTSp2  
   
   
  090  CMSp1 CTSm2   CMSp1 CTSm2  
   
   
  091  CMSm1 CTSp1   CMSm1 CTSp1  
       
straight corner swap with straight twist    
straight corner swap with diagonal twist
 
  092  CTNp1   CTNp1  
  straight corner swap with straight twist  
straight corner swap with diagonal twist    
  093  CMSp1 CTNp1   CMSp1 CTNp1  
   
   
  094  CMSp1 CTNp2   CMSp1 CTNp2  
   
   
  095  CMSp1 CTNm2   CMSp1 CTNm2  
   
   
  096  CMSp1 CTNm1   CMSp1 CTNm1  
       
straight corner swap with neighboured twist    
straight corner swap with positive twist
 
  097  CTDp1   CTDp1  
  straight corner swap with neighboured twist  
straight corner swap with positive twist    
  098  CMSp1 CTDm1   CMSp1 CTDm1  
   
   
  099  CMSp1 CTDp1   CMSp1 CTDp1  
   
   
  100  CMSp1 CTDm2   CMSp1 CTDm2  
   
   
  101 CMSp1 CTDp2   CMSp1 CTDp2  
       
straight corner swap with diagonal twist    
straight corner swap with negative twist
 
  102 CTTp1   CTTp1  
  straight corner swap with diagonal twist  
straight corner swap with negative twist    
  103  CMSp1 CTTp1   CMSp1 CTTp1  
   
   
  104  CMSp1 CTTp2   CMSp1 CTTp2  
   
   
  105  CMSp1 CTTp3   CMSp1 CTTp3  
   
   
  106  CMSp1 CTTp4   CMSp1 CTTp4  
       
straight corner swap with positive twist    
straight corner swap with regular twist
 
  107  CTTm1   CTTm1  
  straight corner swap with positive twist  
straight corner swap with regular twist    
  108  CMSp1 CTTm1   CMSp1 CTTm1  
   
   
  109  CMSp1 CTTm2   CMSp1 CTTm2  
   
   
  220  CMSp1 CTTm3   CMSp1 CTTm3  
     
   
  111  CMSp1 CTTm4   CMSp1 CTTm4  
       
straight corner swap with negative twist    
straight corner swap with irregular twist
 
  112  CTR2   CTR2  
  straight corner swap with negative twist  
straight corner swap with irregular twist    
  113  CMSp1 CTR1   CMSp1 CTR1  
   
   
  114  CMSp1 CTR2   CMSp1 CTR2  
       
straight corner swap with regular twist    
positive edge cycle with flips
 
  115  CTIp1   CTIp1  
  straight corner swap with regular twist  
positive edge cycle with flips    
  116  CMSp1 CTIp1   CMSp1 CTIp1  
   
   
  117  CMSp1 CTIp2   CMSp1 CTIp2  
   
   
  118  CMSp1 CTIm1   CMSp1 CTIm1  
   
   
  119  CMSp1 CTIm2   CMSp1 CTIm2  
       
straight corner swap with irregular twist    
negative edge cycle with flips
 
  120  EMTp1 EFNp1   EMTp1 EFNp1  
  straight corner swap with irregular twist  
negative edge cycle with flips    
  121  EMTp1 EFNm1   EMTp1 EFNm1  
   
   
  122  EMTp1 EFNm2   EMTp1 EFNm2  
   
   
  123  EMTp1 EFNp2   EMTp1 EFNp2  
     
   

 
  124  EMTp1 EFO2   EMTp1 EFO2  
   
   
  125  EMTp1 EFO1   EMTp1 EFO1  
     
   

 
  126  EMTp1 EFA   EMTp1 EFA  
       
positive edge cycle with flips    
diagonal edge swap with flips
 
  127  EMTm1 EFNm1   EMTm1 EFNm1  
  positive edge cycle with flips  
diagonal edge swap with flips    
  128  EMTm1 EFNp1   EMTm1 EFNp1  
   
   
  129  EMTm1 EFNp2   EMTm1 EFNp2  
   
 
  130  EMTm1 EFNm2   EMTm1 EFNm2  
     
   

 
  131  EMTm1 EFO2   EMTm1 EFO2  
   
   
  132  EMTm1 EFO1   EMTm1 EFO1  
     
   

 
  133  EMTm1 EFA   EMTm1 EFA  
       
negative edge cycle with flips    
cross edge swap with flips
 
  134  EMP1 EFNp1   EMP1 EFNp1  
  negative edge cycle with flips  
cross edge swap with flips    
  135  EMP1 EFNp2   EMP1 EFNp2  
     
   

 
  136  EMP1 EFO1   EMP1 EFO1  
   
   
  137  EMP1 EFO2   EMP1 EFO2  
     
   

 
  138  EMP1 EFA   EMP1 EFA  
       
diagonal edge swap with flips    

 
  139     
     
   

 
  140  EMC EFO1   EMC EFO1  
     
   

 
  141 EMC EFA   EMC EFA  
     
     
  diagonal edge swap with flips    

 
                                                               

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