Quelle ctprodclass.g
Sprache: unbekannt
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#############################################################################
##
#W ctprodclass.g GAP4 Package `RCWA' Stefan Kohl
##
## This file contains a classification of all products of two different
## class transpositions which interchange residue classes with moduli <= 6,
## by
##
## - intersection relations between the two times two residue classes,
## - order, and
## - cycle lengths.
##
## The list `CTPairsProductClassification' has an entry for any of the 17
## possible intersection types. Any of these entries are lists, as follows:
##
## - The first entry is a list of four integers in the range 0 .. 4, which
## specifies the intersection type. Let cl1 and cl2 be the residue classes
## which are interchanged by the first class transposition, and let cl3
## and cl4 be the residue classes which are interchanged by the second
## class transposition. Then cl1 and cl2 are disjoint by definition, and
## the same holds for cl3 and cl4. The first entry of the list specifies
## the intersection relation between cl1 and cl3, the second entry speci-
## fies the intersection relation between cl2 and cl3, the third entry
## specifies the intersection relation between cl1 and cl4, and the fourth
## entry specifies the intersection relation between cl2 and cl4:
##
## cl1 cl2 --> transposed by first class transposition
## | \ / |
## 1| / |4
## |/2 3\ |
## cl3 cl4 --> transposed by second class transposition
##
## The meaning of the entries is as follows:
##
## 0 = equality, 1 = subset relation, 2 = superset relation,
## 3 = disjointness, 4 = general intersection relation.
##
## - The subsequent entries are lists, one for each possible order of the
## product, as follows:
##
## - The first entry is the order <ord> of the product.
##
## - The subsequent entries are lists, one for each possible cycle type
## of the product, provided that it has order <ord>:
##
## The first entry of such a list is the cycle type. The cycle type
## is a list of length 2. The first entry is the set of cycle lengths.
## All of them occur infinitely often. The second entry is the number
## of fixed points which stem from fixed points of non-identity affine
## partial mappings.
##
## The subsequent entries are the corresponding pairs of
## class transpositions.
##
## The function `CTPairsIntersectionTypes' has been used to determine the
## 18 possible intersection types. These are the 17 which occur in the list
## `CTPairsProductClassification' and [0,3,3,0], which stands for two equal
## class transpositions. The list returned by this function is
##
## [ [ 0, 3, 3, 0 ], [ 0, 3, 3, 1 ], [ 0, 3, 3, 3 ], [ 0, 3, 3, 4 ],
## [ 1, 1, 3, 3 ], [ 1, 3, 3, 1 ], [ 1, 3, 3, 2 ], [ 1, 3, 3, 3 ],
## [ 1, 3, 3, 4 ], [ 1, 4, 3, 2 ], [ 1, 4, 3, 3 ], [ 1, 4, 3, 4 ],
## [ 3, 3, 3, 3 ], [ 3, 3, 3, 4 ], [ 3, 3, 4, 4 ], [ 3, 4, 4, 3 ],
## [ 3, 4, 4, 4 ], [ 4, 4, 4, 4 ] ]
##
## Given either 2 class transpositions or a 4-tuple of residue classes where
## the first and the second respectively the third and the fourth are
## disjoint, the function `CTPairIntersectionType' returns the corresponding
## intersection type, as described above.
##
## The function `CTPairIntersectionTypeNumber' takes the same arguments as
## `CTPairIntersectionType' (or alternatively also a list of two lists of
## length 4 of integers as returned by the function `ClassPairs'), and
## returns an integer in the range from 1 to 18, denoting the number of the
## intersection type. Here, the intersection types are numbered roughly by
## increasing "difficulty":
##
## 1 = [ 0, 3, 3, 0 ], 2 = [ 3, 3, 3, 3 ], 3 = [ 0, 3, 3, 3 ],
## 4 = [ 1, 1, 3, 3 ], 5 = [ 3, 3, 3, 4 ], 6 = [ 1, 3, 3, 3 ],
## 7 = [ 0, 3, 3, 4 ], 8 = [ 0, 3, 3, 1 ], 9 = [ 1, 3, 3, 2 ],
## 10 = [ 1, 4, 3, 2 ], 11 = [ 1, 3, 3, 1 ], 12 = [ 1, 4, 3, 3 ],
## 13 = [ 1, 3, 3, 4 ], 14 = [ 3, 4, 4, 3 ], 15 = [ 3, 3, 4, 4 ],
## 16 = [ 1, 4, 3, 4 ], 17 = [ 3, 4, 4, 4 ], 18 = [ 4, 4, 4, 4 ].
##
## Given either 2 class transpositions or a 4-tuple of residue classes as
## described in the last sentence, the function `CTPairProductType' returns
## a list [ <intersection type>, <order>, <cycle type> ], where the entries
## have the meanings described above.
##
## The list `CTPairsProductType' contains the precomputed values of
## `CTPairProductType' for all pairs of class transpositions which
## interchange residue classes with moduli <= 6. More precisely, we have
## CTPairsProductTypes = List(CTPairs,CTPairProductType);.
##
## The entry at position (i,j) of the matrix `OrdersMatrix' is the order
## of the product of the i-th and the j-th class transposition in the list
## List(ClassPairs(6),ClassTransposition);.
##
## For the description of the components CTProds12 and CTProds32, see the
## files ctprods12.g and ctprods32.g, respectively.
##
#############################################################################
return rec(
CTPairs := Combinations(List(ClassPairs(6),ClassTransposition),2),
CTPairsIntersectionTypes := function ()
local types, modV4, subsetnormal;
modV4 := type->Set([type,Permuted(type,(1,2)(3,4)),
Permuted(type,(1,3)(2,4)),
Permuted(type,(1,4)(2,3))])[1];
subsetnormal := function ( type )
local i;
if 2 in type and not 1 in type then
for i in [1..4] do if type[i] = 2 then type[i] := 1; fi; od;
fi;
return type;
end;
types := Tuples([0..4],4);
types := Set(types,modV4);
types := Filtered(types,type->Intersection([type{[1,2]},type{[3,4]},
type{[1,3]},type{[2,4]}],
[[0,0],[1,2],[2,1]]) = []);
types := Set(types,subsetnormal);
types := Filtered(types,type->Number(type,n->n=1)<3
and (Number(type,n->n=1)<2
or Intersection(type,[0,4])=[]));
types := Filtered(types,type->type{[1,2]} in [[0,3],[1,1],[1,3],
[1,4],[3,3],[3,4],[4,4]]);
types := Filtered(types,type->not type{[1,3]} in [[0,1],[1,1],[1,4]]);
types := Filtered(types,type->type[1]<>0 or not 4 in type{[2,3]});
types := Difference(types,[[3,4,3,4]]);
return types;
end,
CTPairIntersectionType := function ( arg )
local cts, cls, type, indices, pair,
equivalentsV4, equivalentslist, i;
if Length(arg) = 1 then arg := arg[1]; fi;
if Length(arg) = 2 and ForAll(arg,IsClassTransposition) then
cts := arg;
cls := Concatenation(List(cts,TransposedClasses));
elif Length(arg) = 4 and ForAll(arg,IsResidueClassOfZ) then
cls := arg;
cts := List([cls{[1,2]},cls{[3,4]}],ClassTransposition);
else Error("usage: CTPairIntersectionType(<2 class transpositions>|",
"<4 residue classes>)\n");
fi;
type := [];
for indices in [[1,3],[1,4],[2,3],[2,4]] do
pair := cls{indices};
if pair[1] = pair[2] then Add(type,0);
elif IsSubset(pair[1],pair[2]) then Add(type,1);
elif IsSubset(pair[2],pair[1]) then Add(type,2);
elif Intersection(pair[1],pair[2]) = [] then Add(type,3);
else Add(type,4); fi;
od;
equivalentsV4 := Set([type,Permuted(type,(1,2)(3,4)),
Permuted(type,(1,3)(2,4)),
Permuted(type,(1,4)(2,3))]);
type := equivalentsV4[1];
equivalentslist := [[[0,3,3,2],[0,3,3,1]],
[[2,3,2,3],[1,1,3,3]],
[[2,3,3,2],[1,3,3,1]],
[[2,3,3,3],[1,3,3,3]],
[[2,3,3,4],[1,3,3,4]],
[[2,3,4,3],[1,4,3,3]],
[[2,3,4,4],[1,4,3,4]],
[[3,4,3,4],[3,3,4,4]]];
for i in [1..8] do
if type = equivalentslist[i][1]
then type := equivalentslist[i][2]; fi;
od;
return type;
end,
CTPairIntersectionTypeNumber := function ( arg )
local cls, type, types, indices, pair,
equivalentsV4, equivalentslist, i;
if Length(arg) = 1 then arg := arg[1]; fi;
if Length(arg) = 2 and ForAll(arg,IsRcwaMapping)
and ForAll(arg,IsClassTransposition)
then
cls := Concatenation(List(arg,TransposedClasses));
cls := List(cls,cl->[Residue(cl),Modulus(cl)]);
elif Length(arg) = 4 and ForAll(arg,IsResidueClassOfZ) then
cls := List(arg,cl->[Residue(cl),Modulus(cl)]);
elif Length(arg) = 2 and
ForAll(arg,l->IsList(l) and Length(l) = 4 and ForAll(l,IsInt))
then
cls := [arg[1]{[1,2]},arg[1]{[3,4]},arg[2]{[1,2]},arg[2]{[3,4]}];
else
Error("usage: CTPairIntersectionType(<2 class transpositions>|",
"<4 residue classes>|",
"<2 lists of 4 integers>)\n");
fi;
type := [];
for indices in [[1,3],[1,4],[2,3],[2,4]] do
pair := cls{indices};
if pair[1] = pair[2]
then
Add(type,0);
elif pair[2][2] mod pair[1][2] = 0
and pair[2][1] mod pair[1][2] = pair[1][1]
then # IsSubset(pair[1],pair[2])
Add(type,1);
elif pair[1][2] mod pair[2][2] = 0
and pair[1][1] mod pair[2][2] = pair[2][1]
then # IsSubset(pair[2],pair[1])
Add(type,2);
elif (pair[1][1]-pair[2][1]) mod Gcd(pair[1][2],pair[2][2]) <> 0
then # Intersection(pair[1],pair[2]) = []
Add(type,3);
else
Add(type,4);
fi;
od;
equivalentsV4 := Set([type,Permuted(type,(1,2)(3,4)),
Permuted(type,(1,3)(2,4)),
Permuted(type,(1,4)(2,3))]);
type := equivalentsV4[1];
equivalentslist := [[[0,3,3,2],[0,3,3,1]],
[[2,3,2,3],[1,1,3,3]],
[[2,3,3,2],[1,3,3,1]],
[[2,3,3,3],[1,3,3,3]],
[[2,3,3,4],[1,3,3,4]],
[[2,3,4,3],[1,4,3,3]],
[[2,3,4,4],[1,4,3,4]],
[[3,4,3,4],[3,3,4,4]]];
for i in [1..8] do
if type = equivalentslist[i][1]
then type := equivalentslist[i][2]; fi;
od;
types := [[0,3,3,0],[3,3,3,3],[0,3,3,3],[1,1,3,3],[3,3,3,4],[1,3,3,3],
[0,3,3,4],[0,3,3,1],[1,3,3,2],[1,4,3,2],[1,3,3,1],[1,4,3,3],
[1,3,3,4],[3,4,4,3],[3,3,4,4],[1,4,3,4],[3,4,4,4],[4,4,4,4]];
return Position(types,type);
end,
CTPairProductType := function ( arg )
local result, cls, cts, g, intertype, order, cycletype,
CTPairIntersectionType;
if Length(arg) = 1 then arg := arg[1]; fi;
if Length(arg) = 2 and ForAll(arg,IsClassTransposition) then
cts := arg;
cls := Concatenation(List(cts,TransposedClasses));
elif Length(arg) = 4 and ForAll(arg,IsResidueClassOfZ) then
cls := arg;
cts := List([cls{[1,2]},cls{[3,4]}],ClassTransposition);
else Error("usage: CTPairProductType(<2 class transpositions>|",
"<4 residue classes>)\n");
fi;
if IsBoundGlobal("CTPairIntersectionType")
then CTPairIntersectionType := ValueGlobal("CTPairIntersectionType");
else CTPairIntersectionType :=
LoadDatabaseOfProductsOf2ClassTranspositions().CTPairIntersectionType;
fi;
intertype := CTPairIntersectionType(cls);
g := Product(cts);
order := Order(g);
cycletype := Set(ShortCycles(g,[-1000..1000],20),Length);
if Density(Support(g)) = 1 then cycletype := Difference(cycletype,[1]); fi;
if IsSubset(cycletype,[1,2,3,4,5,6,7])
then cycletype := PositiveIntegers;
elif IsSubset(cycletype,[1,3,5,7])
then cycletype := ResidueClass(1,2);
elif IsSubset(cycletype,[2,4,6,8]) and Density(Support(g)) = 1
then cycletype := ResidueClass(0,2);
elif IsSubset(cycletype,[2,4,6,8]) and Density(Support(g)) < 1
then cycletype := Union(ResidueClass(0,2),[1]);
elif order = infinity then Add(cycletype,infinity); fi;
cycletype := [cycletype,Length(ExcludedElements(Support(g)))];
return [ intertype, order, cycletype ];
end,
CTPairsProductClassification :=
[ [ [ 0, 3, 3, 1 ],
[ infinity,
[ [ [ infinity ], 2 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,2,1,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,2,3,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,2,1,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,2,5,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,2,0,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,2,2,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,2,0,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,2,4,6) ] ],
[ [ [ 1, infinity ], 2 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(0,4,1,4) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,4,2,4) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,4,0,6) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,4,4,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(0,4,3,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(2,4,3,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(3,4,0,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(3,4,4,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,4,1,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(2,4,1,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,4,3,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(2,4,3,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,4,5,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(2,4,5,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(0,4,1,4) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(0,4,3,4) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(0,4,1,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(0,4,5,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(1,4,2,4) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(2,4,3,4) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(2,4,1,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(2,4,5,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,4,0,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(3,4,0,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,4,2,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(3,4,2,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(1,4,4,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(3,4,4,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,3,1,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,3,4,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(1,3,0,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(1,3,3,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(0,3,2,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(0,3,5,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(2,3,0,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(2,3,3,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(0,3,2,6), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,3,2,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(0,3,4,6), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,3,4,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(0,3,5,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(0,3,5,6), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(1,3,2,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(1,3,5,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(2,3,1,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(2,3,4,6) ],
[ ClassTransposition(1,3,0,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(1,3,0,6), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(1,3,2,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(1,3,2,6), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(1,3,3,6), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(1,3,3,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(1,3,5,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(1,3,5,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(2,3,0,6), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(2,3,0,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(2,3,1,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(2,3,1,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(2,3,3,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(2,3,3,6), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(2,3,4,6), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(2,3,4,6), ClassTransposition(4,6,5,6) ] ],
[ [ [ infinity ], 0 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,2,3,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,2,2,6) ] ],
[ [ [ 1, infinity ], 0 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,4,2,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(3,4,2,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(0,4,3,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(2,4,3,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(3,6,4,6) ] ] ] ],
[ [ 0, 3, 3, 3 ],
[ 3,
[ [ [ 3 ], 0 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(0,2,3,4) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,4,3,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,4,3,4) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(1,2,2,4) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,3,2,3) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(1,3,2,3) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(1,3,2,3) ] ],
[ [ [ 1, 3 ], 0 ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,2,3,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,2,5,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,2,5,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,2,2,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,2,4,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,2,4,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,3,2,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,3,5,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(1,3,2,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(1,3,5,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(0,3,1,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(0,3,4,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(2,3,1,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(2,3,4,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(0,3,2,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(0,3,4,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(0,3,5,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(2,3,1,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(0,3,2,6), ClassTransposition(0,3,4,6) ],
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[ [ 0, 3, 3, 4 ],
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[ ClassTransposition(1,4,0,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(1,4,0,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(1,4,0,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(1,4,2,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(1,4,2,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(1,4,2,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(1,4,4,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(1,4,4,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(1,4,4,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(2,4,3,4), ClassTransposition(2,4,1,6) ],
[ ClassTransposition(2,4,3,4), ClassTransposition(2,4,3,6) ],
[ ClassTransposition(2,4,3,4), ClassTransposition(2,4,5,6) ],
[ ClassTransposition(2,4,3,4), ClassTransposition(3,4,0,6) ],
[ ClassTransposition(2,4,3,4), ClassTransposition(3,4,2,6) ],
[ ClassTransposition(2,4,3,4), ClassTransposition(3,4,4,6) ],
[ ClassTransposition(2,4,1,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(2,4,1,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(2,4,1,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(2,4,3,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(2,4,3,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(2,4,3,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(2,4,5,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(2,4,5,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(2,4,5,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(3,4,0,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(3,4,0,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(3,4,0,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(3,4,2,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(3,4,2,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(3,4,2,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(3,4,4,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(3,4,4,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(3,4,4,6), ClassTransposition(4,6,5,6) ] ] ] ],
[ [ 1, 1, 3, 3 ],
[ 4,
[ [ [ 4 ], 0 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,4,3,4) ] ],
[ [ [ 2, 4 ], 0 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(3,6,5,6) ] ],
[ [ [ 1, 4 ], 0 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,4,2,4) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(1,4,3,4) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(1,4,3,4) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,4,3,4) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,4,3,4) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(1,4,3,4) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,3,2,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,3,4,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,3,5,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(1,3,0,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(1,3,2,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(1,3,3,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(1,3,5,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(2,3,0,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(2,3,1,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(2,3,3,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(2,3,4,6), ClassTransposition(2,6,5,6) ] ],
[ [ [ 1, 2, 4 ], 0 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(2,6,4,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(1,2,4,6), ClassTransposition(3,6,5,6) ] ] ] ],
[ [ 1, 3, 3, 1 ],
[ 2,
[ [ [ 1, 2 ], 0 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,4,1,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(2,4,3,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(0,6,2,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(3,6,5,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(4,6,5,6) ] ] ],
[ 4,
[ [ [ 4 ], 0 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,4,3,4) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,4,2,4) ] ],
[ [ [ 2, 4 ], 0 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(3,6,4,6) ] ],
[ [ [ 1, 4 ], 0 ],
[ ClassTransposition(0,3,1,3), ClassTransposition(0,6,4,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(1,6,3,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(1,6,5,6) ],
[ ClassTransposition(1,3,2,3), ClassTransposition(2,6,4,6) ] ] ],
[ infinity,
[ [ ResidueClass(0,2), 2 ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,4,1,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,4,3,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(0,4,5,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,4,0,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,4,2,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(1,4,4,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(2,4,1,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(2,4,3,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(2,4,5,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(3,4,0,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(3,4,2,6) ],
[ ClassTransposition(0,2,1,2), ClassTransposition(3,4,4,6) ] ] ] ],
[ [ 1, 3, 3, 2 ],
[ infinity,
[ [ [ infinity ], 2 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,2,0,4) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,2,0,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,2,2,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,2,4,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,2,0,4) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,2,0,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,2,2,4) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,2,4,6) ] ],
[ [ [ 1, infinity ], 2 ],
[ ClassTransposition(0,3,1,6), ClassTransposition(1,3,0,6) ],
[ ClassTransposition(0,3,2,6), ClassTransposition(2,3,0,6) ],
[ ClassTransposition(0,3,4,6), ClassTransposition(1,3,3,6) ],
[ ClassTransposition(0,3,5,6), ClassTransposition(2,3,3,6) ],
[ ClassTransposition(1,3,2,6), ClassTransposition(2,3,1,6) ],
[ ClassTransposition(1,3,5,6), ClassTransposition(2,3,4,6) ] ],
[ [ [ infinity ], 0 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,2,2,4) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,2,2,6) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(1,2,4,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,2,0,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,2,0,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,2,2,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,2,2,4) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,2,2,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(1,2,4,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,2,0,4) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,2,2,4) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,2,0,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,2,2,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,2,4,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,2,0,4) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,2,0,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,2,2,6) ] ],
[ [ [ 1, infinity ], 0 ],
[ ClassTransposition(0,3,1,6), ClassTransposition(1,3,3,6) ],
[ ClassTransposition(0,3,2,6), ClassTransposition(2,3,3,6) ],
[ ClassTransposition(0,3,4,6), ClassTransposition(1,3,0,6) ],
[ ClassTransposition(0,3,5,6), ClassTransposition(2,3,0,6) ],
[ ClassTransposition(1,3,2,6), ClassTransposition(2,3,4,6) ],
[ ClassTransposition(1,3,5,6), ClassTransposition(2,3,1,6) ] ] ] ],
[ [ 1, 3, 3, 3 ],
[ 6,
[ [ [ 2, 3 ], 0 ],
[ ClassTransposition(0,2,1,4), ClassTransposition(0,4,3,4) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(2,4,3,4) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(3,4,0,6) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(3,4,2,6) ],
[ ClassTransposition(0,2,1,4), ClassTransposition(3,4,4,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(0,4,1,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,4,2,4) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,4,0,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,4,2,6) ],
[ ClassTransposition(0,2,3,4), ClassTransposition(1,4,4,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(1,4,2,4) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(2,4,3,4) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(2,4,1,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(2,4,3,6) ],
[ ClassTransposition(1,2,0,4), ClassTransposition(2,4,5,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(0,4,1,4) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(0,4,3,4) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(0,4,1,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(0,4,3,6) ],
[ ClassTransposition(1,2,2,4), ClassTransposition(0,4,5,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(2,3,0,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(2,3,1,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(2,3,3,6) ],
[ ClassTransposition(0,3,1,3), ClassTransposition(2,3,4,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(1,3,0,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(1,3,2,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(1,3,3,6) ],
[ ClassTransposition(0,3,2,3), ClassTransposition(1,3,5,6) ],
[ ClassTransposition(0,3,1,6), ClassTransposition(1,3,2,3) ],
[ ClassTransposition(0,3,2,6), ClassTransposition(1,3,2,3) ],
[ ClassTransposition(0,3,4,6), ClassTransposition(1,3,2,3) ],
[ ClassTransposition(0,3,5,6), ClassTransposition(1,3,2,3) ] ],
[ [ [ 1, 2, 3 ], 0 ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,4,3,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,4,5,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(2,4,3,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(2,4,5,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(0,2,1,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,4,1,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,4,5,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(2,4,1,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(2,4,5,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(0,2,3,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,4,1,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,4,3,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(2,4,1,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(2,4,3,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(0,2,5,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,4,2,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,4,4,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(3,4,2,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(3,4,4,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,6,2,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(1,6,4,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(2,6,3,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(2,6,5,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(3,6,4,6) ],
[ ClassTransposition(1,2,0,6), ClassTransposition(4,6,5,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,4,0,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,4,4,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(3,4,0,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(3,4,4,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(0,6,1,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(0,6,3,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(0,6,5,6) ],
[ ClassTransposition(1,2,2,6), ClassTransposition(1,6,4,6) ],
--> --------------------
--> maximum size reached
--> --------------------
[ Dauer der Verarbeitung: 0.45 Sekunden
(vorverarbeitet)
]
|
2026-04-02
|
