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

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#############################################################################
##
#W  id125.z                GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[125]:=
rec(
  fp:= [ 1 ],
  next:= [ rec(
    fp:= [ 4 ],
    next:= [ rec(
      fp:= [ 1 ],
      next:= [ rec(
        fp:= [ 19437497693339, 19514937693339, 19592377693339, 
19669817693339 ],
        next:= [ 13, 11, 12, 10 ] ) ],
      pos:= [ 3, 4 ] ) ] ) ] );