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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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# T from the Cooperman & Havas paper (index is 5^5 = 3125).
# This is designed to test/illustrate dedn handling methods.
# Specifically, the variations to be expected ...

enum: T;
gr: a,b,c;
rel: a^5, b^5, c^5,
 
  (abc)^5,  (abC)^5 , (abcc)^5,  (abCC)^5,
  (aBc)^5,  (aBC)^5,  (aBcc)^5,  (aBCC)^5,
  (abbc)^5, (abbC)^5, (abbcc)^5, (abbCC)^5,
  (aBBc)^5, (aBBC)^5, (aBBcc)^5, (aBBCC)^5,

  (Abc)^5,  (AbC)^5,  (Abcc)^5,  (AbCC)^5,
  (ABc)^5,  (ABC)^5,  (ABcc)^5,  (ABCC)^5,
  (Abbc)^5, (AbbC)^5, (Abbcc)^5, (AbbCC)^5,
  (ABBc)^5, (ABBC)^5, (ABBcc)^5, (ABBCC)^5,

  (aabc)^5,  (aabC)^5,  (aabcc)^5,  (aabCC)^5,
  (aaBc)^5,  (aaBC)^5,  (aaBcc)^5,  (aaBCC)^5,
  (aabbc)^5, (aabbC)^5, (aabbcc)^5, (aabbCC)^5,
  (aaBBc)^5, (aaBBC)^5, (aaBBcc)^5, (aaBBCC)^5,

  (AAbc)^5,  (AAbC)^5,  (AAbcc)^5,  (AAbCC)^5,
  (AABc)^5,  (AABC)^5,  (AABcc)^5,  (AABCC)^5,
  (AAbbc)^5, (AAbbC)^5, (AAbbcc)^5, (AAbbCC)^5,
  (AABBc)^5, (AABBC)^5, (AABBcc)^5, (AABBCC)^5,

  [a,b,a], [a,b,b], [a,c,a], [a,c,c],

  [b,c,c,c], [b,c,c,b], [b,c,b,c], [b,c,b,b],
  [c,a,b,a], [c,a,b,b], [b,a,c,a], [b,a,c,c],

  [b,a,c,[b,a]], [c,a,b,[c,a]]
  ;
subgr: index 3125;
gen: ab, bc;

#Wo:2M;
#Mess:5000;

Fel;			Beg;
DMod:5,100;		Beg;

DMod:5,90;		Beg; Beg; Beg; Beg; Beg;
DMod:5,80;		Beg; Beg; Beg; Beg; Beg;
DMod:5,70;		Beg; Beg; Beg; Beg; Beg;
DMod:5,60;		Beg; Beg; Beg; Beg; Beg;
DMod:5,50;		Beg; Beg; Beg; Beg; Beg;
DMod:5,40;		Beg; Beg; Beg; Beg; Beg;
DMod:5,30;		Beg; Beg; Beg; Beg; Beg;
DMod:5,20;		Beg; Beg; Beg; Beg; Beg;