Quellsprache: Binärcode.g aufgebrochen in jeweils 16 ZeichenUnknown {[0] [0] [0]}zum Wurzelverzeichnis wechseln
#############################################################################
##
#W abelianinvariants.g GAP4 Package `RCWA' Stefan Kohl
##
## Data library of groups generated by 3 class transpositions which inter-
## change residue classes with moduli <= 6: part containing lists of
## abelian invariants.
##
## For all i in [1..52394] for which grps[i] is finite,
## abelianinvariants[i] is a list containing the abelian invariants
## - of grps[i],
## - of the derived subgroup of grps[i],
## - of the derived subgroup of the derived subgroup of grps[i],
## ...
## until the perfect residuum (i.e., until the empty list).
##
## For all i in [1..52394] for which grps[i] is infinite, the stored data
## is that for the source of a not necessarily injective epimorphism onto
## grps[i]. Improving the stored data means making that preimage smaller.
##
#############################################################################
local abinvset, abinvpos, abelianinvariants;
abinvset :=
[ [ [ ] ],[ [ 2 ],[ ] ],[ [ 2 ],[ 3 ],[ ] ],
[ [ 2 ],[ 3 ],[ 2,2 ],[ ] ],
[ [ 2 ],[ 3 ],[ 2,2 ],[ 3,3,3 ],[ ] ],[ [ 2 ],[ 3,3 ],[ ] ],
[ [ 2 ],[ 3,3 ],[ 0,0 ] ],[ [ 2 ],[ 3,3 ],[ 0,0,2,2 ] ],
[ [ 2 ],[ 3,3 ],[ 0,0,2,2,2,2 ] ],
[ [ 2 ],[ 3,3 ],[ 0,0,2,2,5,5 ] ],
[ [ 2 ],[ 3,3 ],[ 0,0,4,4 ] ],
[ [ 2 ],[ 3,3 ],[ 2,2,2,2 ],[ ] ],
[ [ 2 ],[ 3,3 ],[ 2,2,2,2,2,2 ],[ ] ],
[ [ 2 ],[ 3,3,5 ],
[ 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3 ] ],
[ [ 2,2 ],[ ] ],[ [ 2,2 ],[ 0 ] ],[ [ 2,2 ],[ 0,3 ] ],
[ [ 2,2 ],[ 0,3,3 ] ],[ [ 2,2 ],[ 0,3,3,5,5 ] ],
[ [ 2,2 ],[ 0,3,9 ] ],[ [ 2,2 ],[ 0,5 ] ],
[ [ 2,2 ],[ 0,7,7 ] ],[ [ 2,2 ],[ 2 ],[ ] ],
[ [ 2,2 ],[ 2 ],[ 3,3 ],[ ] ],
[ [ 2,2 ],[ 2 ],[ 3,3 ],[ 0,0,0,0,2,2,2,2 ] ],
[ [ 2,2 ],[ 2 ],[ 3,3 ],
[ 0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2 ] ],
[ [ 2,2 ],[ 2 ],[ 3,3 ],[ 2,2,2,2 ],[ ] ],
[ [ 2,2 ],[ 2 ],[ 3,3 ],[ 2,2,2,2 ],
[ 0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3 ] ],
[ [ 2,2 ],[ 2 ],[ 3,3 ],[ 3,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4 ] ],
[ [ 2,2 ],[ 2 ],[ 3,3 ],[ 3,3,3,3 ],
[ 4,4,4,4,4,4,4,4,4,4,4,4 ] ],
[ [ 2,2 ],[ 2 ],[ 3,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3 ] ],
[ [ 2,2 ],[ 2 ],[ 5,5 ],[ ] ],
[ [ 2,2 ],[ 2 ],[ 5,5 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2 ] ],[ [ 2,2 ],[ 2,3 ],[ ] ],
[ [ 2,2 ],[ 2,3 ],[ 0,0,0,0,5,5 ] ],
[ [ 2,2 ],[ 2,3 ],[ 2,2 ],[ ] ],
[ [ 2,2 ],[ 2,3 ],[ 2,2,2,2 ],[ 0,0,0 ] ],
[ [ 2,2 ],[ 2,3 ],[ 2,2,2,2 ],[ 0,0,0,2 ] ],
[ [ 2,2 ],[ 2,3 ],[ 2,2,2,2,2,2 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,2,2,2,2 ] ],
[ [ 2,2 ],[ 2,3 ],[ 2,2,2,2,4,4 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4 ] ],[ [ 2,2 ],[ 2,3 ],[ 2,2,3,3 ],[ ] ],
[ [ 2,2 ],[ 2,3 ],[ 2,2,4,4 ],
[ 0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4 ] ],
[ [ 2,2 ],[ 2,3 ],[ 2,2,4,4 ],[ 0,0,0,2,2,2,2,4,4 ] ],
[ [ 2,2 ],[ 2,3 ],[ 3,3 ],[ ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ]
],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2 ]
],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5 ]
],
[ [ 2,2 ],[ 2,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5 ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,0,0,0,0,2,2,2,2,2,2,2,2 ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2 ]
],
[ [ 2,2 ],[ 2,3,3 ],
[ 0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3 ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,0,0,3,3,3,3,3,3 ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,0,0,5,5,5,5,5,5 ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 0,0,3,3 ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 2,2,2,2,2,2,3 ] ],
[ [ 2,2 ],[ 2,3,3 ],[ 5,5 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,5 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,5,5 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,2,2,2,2,2,2,2,2,2,3 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,2,2,2,2,2,2,2,2,2,3,5,5,5,5,5,5 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,2,2,2,2,2,2,2,2,2,3,5,5,5,5,5,5,5,5,5,5 ] ]
,
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,3 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,
2,2,2,2,2,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5 ] ],
[ [ 2,2 ],[ 2,3,3,3 ],
[ 0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,
2 ] ],[ [ 2,2 ],[ 2,3,3,3 ],[ 0,0,2,2,2,2,3 ] ],
[ [ 2,2 ],[ 2,3,3,3,5 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ] ],
[ [ 2,2 ],[ 2,3,3,3,5 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ] ],
[ [ 2,2 ],[ 2,3,3,3,5,5 ],
[ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
--> --------------------
--> maximum size reached
--> --------------------
