#       U
#     _____
# L  /  F  \ R    ..... LB   RB
#  /\     / \
#  \   \ /   /
#   \ LF|RF /     ..... LLB  B    LRB
#    ------
#       D
#
# U is Opposite D
# F is Opposite B
# L is Opposite LLB
# R is Opposite LRB
# LB is Opposite LF
# RB is Opposite RF
#
# Top tier sequence    =  f  r lb rb l
# Bottom tier sequence = lf rf llb b lrb
#
# All operators represent a clockwise turn of a megaminx face
# Operators suffixed by n are counter-clockwise
# Total of 24 different operators
#
# Order (dod, f*r*lb*rb*l) = Order (dod, lfn*rfn*llbn*bn*lrbn) = 756
#
u  := (1,9,7,5,3)(50,40,30,200,11)(52,42,32,22,13)(2,10,8,6,4)(51,41,31,21,12);
un := u*u*u*u;
f  := (11,13,15,17,19)(3,200,72,62,54)(5,28,70,60,52)(12,14,16,18,20)(4,29,71,61,53);
fn := f*f*f*f;
l  := (50,52,54,56,58)(1,11,60,116,44)(3,19,68,114,42)(51,53,55,57,59)(2,20,69,115,43);
ln := l*l*l*l;
r  := (200,22,24,26,28)(5,30,82,74,15)(7,38,80,72,13)(21,23,25,27,29)(6,39,81,73,14);
rn := r*r*r*r;
lb := (30,32,34,36,38)(7,40,92,84,24)(9,48,90,82,22)(31,33,35,37,39)(8,49,91,83,23);
lbn:= lb*lb*lb*lb;
rb := (40,42,44,46,48)(9,50,114,94,34)(1,58,112,92,32)(41,43,45,47,49)(10,59,113,93,33);
rbn:= rb*rb*rb*rb;
lf := (60,62,64,66,68)(19,70,106,118,56)(17,78,104,116,54)(61,63,65,67,69)(18,79,105,117,55);
lfn:= lf*lf*lf*lf;
rf := (70,72,74,76,78)(17,28,80,108,64)(15,26,88,106,62)(71,73,75,77,79)(16,27,89,107,63);
rfn:= rf*rf*rf*rf;
llb:=(80,82,84,86,88)(26,38,90,100,76)(24,36,98,108,74)(81,83,85,87,89)(25,37,99,109,75);
llbn:=llb*llb*llb*llb;
b  :=(90,92,94,96,98)(36,48,112,102,86)(34,46,110,100,84)(91,93,95,97,99)(35,47,111,101,85);
bn := b*b*b*b;
d  :=(100,102,104,106,108)(98,110,66,78,88)(96,118,64,76,86)(101,103,105,107,109)(97,119,65,77,87);
dn := d*d*d*d;
lrb:=(110,112,114,116,118)(96,46,58,68,104)(94,44,56,66,102)(111,113,115,117,119)(95,45,57,67,103);
lrbn:= lrb*lrb*lrb*lrb;

twoflip :=rn*fn*u*ln*un*l*f*r*l*f*un*r*u*rn*fn*ln;