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

Path: gap4r8 / small / id3 / id5.z
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#############################################################################
##
#W  id5.z                  GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[5]:=
rec(
  fp:= [ 1, 2 ],
  next:= [ rec(
    fp:= [ 23, 28, 29, 30, 32 ],
    next:= [ rec(
      fp:= [ 10 ],
      next:= [ rec(
        fp:= [ 130, 132 ],
        next:= [ 100, 101 ] ) ] ), rec(
      fp:= [ 11 ],
      next:= [ rec(
        fp:= [ 145, 146 ],
        next:= [ 117, 118 ] ) ] ), rec(
      fp:= [ 4 ],
      next:= [ rec(
        fp:= [ 103, 104 ],
        next:= [ 124, 126 ] ) ] ), rec(
      fp:= [ 3 ],
      next:= [ rec(
        fp:= [ 90, 93 ],
        next:= [ 128, 130 ] ) ] ), rec(
      fp:= [ 4 ],
      next:= [ rec(
        fp:= [ 96, 97 ],
        next:= [ 136, 137 ] ) ] ) ] ), rec(
    fp:= [ 12, 15, 37 ],
    next:= [ rec(
      fp:= [ 2 ],
      next:= [ rec(
        fp:= [ 76, 79 ],
        next:= [ 212, 213 ] ) ] ), rec(
      fp:= [ 1 ],
      next:= [ rec(
        fp:= [ 70, 71 ],
        next:= [ 216, 217 ] ) ] ), rec(
      fp:= [ 2 ],
      next:= [ rec(
        fp:= [ 201, 202 ],
        next:= [ 232, 231 ] ) ] ) ] ) ] );