Quellcode-Bibliothek database.g   Sprache: unbekannt

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##
#W  database.g                GAP4 Package `RCWA'                 Stefan Kohl
##
##  Data library of the groups generated by 4 class transpositions which
##  interchange residue classes with moduli <= 6.
##
#############################################################################

return rec(

cts := List(ClassPairs(6),c->SparseRep(ClassTransposition(c))),

grps4_3finitepos :=
[[1,7,9,13],[1,7,9,15],[1,7,9,16],[1,7,9,19],
 [1,7,9,20],[1,7,9,21],[1,7,9,22],[1,7,9,23],
 [1,7,9,24],[1,7,9,25],[1,7,9,26],[1,7,9,27],
 [1,7,9,34],[1,7,9,39],[1,7,9,41],[1,7,9,43],
 [1,7,9,44],[1,7,9,45],[1,7,9,46],[1,7,9,47],
 [1,7,9,48],[1,7,9,49],[1,7,9,55],[1,7,9,58],
 [1,7,9,59],[1,7,9,60],[1,7,9,61],[1,7,9,62],
 [1,7,9,66],[1,7,9,67],[1,7,9,68],[1,7,9,69],
 [1,7,13,15],[1,7,13,16],[1,7,13,19],[1,7,13,20],
 [1,7,13,21],[1,7,13,22],[1,7,13,23],[1,7,13,24],
 [1,7,13,25],[1,7,13,26],[1,7,13,27],[1,7,13,34],
 [1,7,13,39],[1,7,13,41],[1,7,13,43],[1,7,13,44],
 [1,7,13,45],[1,7,13,46],[1,7,13,47],[1,7,13,48],
 [1,7,13,49],[1,7,13,50],[1,7,13,51],[1,7,13,55],
 [1,7,13,58],[1,7,13,59],[1,7,13,60],[1,7,13,61],
 [1,7,13,62],[1,7,13,66],[1,7,13,67],[1,7,13,68],
 [1,7,13,69],[1,7,15,16],[1,7,15,19],[1,7,15,20],
 [1,7,15,21],[1,7,15,22],[1,7,15,23],[1,7,15,24],
 [1,7,15,25],[1,7,15,26],[1,7,15,27],[1,7,15,34],
 [1,7,15,39],[1,7,15,41],[1,7,15,43],[1,7,15,44],
 [1,7,15,45],[1,7,15,46],[1,7,15,47],[1,7,15,48],
 [1,7,15,49],[1,7,15,55],[1,7,15,58],[1,7,15,59],
 [1,7,15,60],[1,7,15,61],[1,7,15,62],[1,7,15,66],
 [1,7,15,67],[1,7,15,68],[1,7,15,69],[1,7,16,19],
 [1,7,16,20],[1,7,16,21],[1,7,16,22],[1,7,16,23],
 [1,7,16,24],[1,7,16,25],[1,7,16,26],[1,7,16,27],
 [1,7,16,34],[1,7,16,39],[1,7,16,41],[1,7,16,43],
 [1,7,16,44],[1,7,16,45],[1,7,16,46],[1,7,16,47],
 [1,7,16,48],[1,7,16,49],[1,7,16,55],[1,7,16,58],
 [1,7,16,59],[1,7,16,60],[1,7,16,61],[1,7,16,62],
 [1,7,16,66],[1,7,16,67],[1,7,16,68],[1,7,16,69],
 [1,7,19,20],[1,7,19,21],[1,7,19,22],[1,7,19,23],
 [1,7,19,24],[1,7,19,25],[1,7,19,26],[1,7,19,27],
 [1,7,19,34],[1,7,19,39],[1,7,19,41],[1,7,19,43],
 [1,7,19,44],[1,7,19,45],[1,7,19,46],[1,7,19,47],
 [1,7,19,48],[1,7,19,49],[1,7,19,55],[1,7,19,58],
 [1,7,19,59],[1,7,19,60],[1,7,19,61],[1,7,19,62],
 [1,7,19,66],[1,7,19,67],[1,7,19,68],[1,7,19,69],
 [1,7,20,21],[1,7,20,22],[1,7,20,23],[1,7,20,24],
 [1,7,20,25],[1,7,20,26],[1,7,20,27],[1,7,20,34],
 [1,7,20,39],[1,7,20,41],[1,7,20,43],[1,7,20,44],
 [1,7,20,45],[1,7,20,46],[1,7,20,47],[1,7,20,48],
 [1,7,20,49],[1,7,20,55],[1,7,20,58],[1,7,20,59],
 [1,7,20,60],[1,7,20,61],[1,7,20,62],[1,7,20,66],
 [1,7,20,67],[1,7,20,68],[1,7,20,69],[1,7,21,22],
 [1,7,21,23],[1,7,21,24],[1,7,21,25],[1,7,21,26],
 [1,7,21,27],[1,7,21,34],[1,7,21,39],[1,7,21,41],
 [1,7,21,43],[1,7,21,44],[1,7,21,45],[1,7,21,46],
 [1,7,21,47],[1,7,21,48],[1,7,21,49],[1,7,21,55],
 [1,7,21,58],[1,7,21,59],[1,7,21,60],[1,7,21,61],
 [1,7,21,62],[1,7,21,66],[1,7,21,67],[1,7,21,68],
 [1,7,21,69],[1,7,22,23],[1,7,22,24],[1,7,22,25],
 [1,7,22,26],[1,7,22,27],[1,7,22,34],[1,7,22,39],
 [1,7,22,41],[1,7,22,43],[1,7,22,44],[1,7,22,45],
 [1,7,22,46],[1,7,22,47],[1,7,22,48],[1,7,22,49],
 [1,7,22,55],[1,7,22,58],[1,7,22,59],[1,7,22,60],
 [1,7,22,61],[1,7,22,62],[1,7,22,66],[1,7,22,67],
 [1,7,22,68],[1,7,22,69],[1,7,23,24],[1,7,23,25],
 [1,7,23,26],[1,7,23,27],[1,7,23,34],[1,7,23,39],
 [1,7,23,41],[1,7,23,43],[1,7,23,44],[1,7,23,45],
 [1,7,23,46],[1,7,23,47],[1,7,23,48],[1,7,23,49],
 [1,7,23,50],[1,7,23,51],[1,7,23,55],[1,7,23,58],
 [1,7,23,59],[1,7,23,60],[1,7,23,61],[1,7,23,62],
 [1,7,23,66],[1,7,23,67],[1,7,23,68],[1,7,23,69],
 [1,7,24,25],[1,7,24,26],[1,7,24,27],[1,7,24,34],
 [1,7,24,39],[1,7,24,41],[1,7,24,43],[1,7,24,44],
 [1,7,24,45],[1,7,24,46],[1,7,24,47],[1,7,24,48],
 [1,7,24,49],[1,7,24,55],[1,7,24,58],[1,7,24,59],
 [1,7,24,60],[1,7,24,61],[1,7,24,62],[1,7,24,66],
 [1,7,24,67],[1,7,24,68],[1,7,24,69],[1,7,25,26],
 [1,7,25,27],[1,7,25,34],[1,7,25,39],[1,7,25,41],
 [1,7,25,43],[1,7,25,44],[1,7,25,45],[1,7,25,46],
 [1,7,25,47],[1,7,25,48],[1,7,25,49],[1,7,25,55],
 [1,7,25,58],[1,7,25,59],[1,7,25,60],[1,7,25,61],
 [1,7,25,62],[1,7,25,66],[1,7,25,67],[1,7,25,68],
 [1,7,25,69],[1,7,26,27],[1,7,26,34],[1,7,26,39],
 [1,7,26,41],[1,7,26,43],[1,7,26,44],[1,7,26,45],
 [1,7,26,46],[1,7,26,47],[1,7,26,48],[1,7,26,49],
 [1,7,26,55],[1,7,26,58],[1,7,26,59],[1,7,26,60],
 [1,7,26,61],[1,7,26,62],[1,7,26,66],[1,7,26,67],
 [1,7,26,68],[1,7,26,69],[1,7,27,34],[1,7,27,39],
 [1,7,27,41],[1,7,27,43],[1,7,27,44],[1,7,27,45],
 [1,7,27,46],[1,7,27,47],[1,7,27,48],[1,7,27,49],
 [1,7,27,55],[1,7,27,58],[1,7,27,59],[1,7,27,60],
 [1,7,27,61],[1,7,27,62],[1,7,27,66],[1,7,27,67],
 [1,7,27,68],[1,7,27,69],[1,7,34,39],[1,7,34,41],
 [1,7,34,43],[1,7,34,44],[1,7,34,45],[1,7,34,46],
 [1,7,34,47],[1,7,34,48],[1,7,34,49],[1,7,34,55],
 [1,7,34,58],[1,7,34,59],[1,7,34,60],[1,7,34,61],
 [1,7,34,62],[1,7,34,66],[1,7,34,67],[1,7,34,68],
 [1,7,34,69],[1,7,39,41],[1,7,39,43],[1,7,39,44],
 [1,7,39,45],[1,7,39,46],[1,7,39,47],[1,7,39,48],
 [1,7,39,49],[1,7,39,55],[1,7,39,58],[1,7,39,59],
 [1,7,39,60],[1,7,39,61],[1,7,39,62],[1,7,39,66],
 [1,7,39,67],[1,7,39,68],[1,7,39,69],[1,7,41,43],
 [1,7,41,44],[1,7,41,45],[1,7,41,46],[1,7,41,47],
 [1,7,41,48],[1,7,41,49],[1,7,41,55],[1,7,41,58],
 [1,7,41,59],[1,7,41,60],[1,7,41,61],[1,7,41,62],
 [1,7,41,66],[1,7,41,67],[1,7,41,68],[1,7,41,69],
 [1,7,43,44],[1,7,43,45],[1,7,43,46],[1,7,43,47],
 [1,7,43,48],[1,7,43,49],[1,7,43,55],[1,7,43,58],
 [1,7,43,59],[1,7,43,60],[1,7,43,61],[1,7,43,62],
 [1,7,43,66],[1,7,43,67],[1,7,43,68],[1,7,43,69],
 [1,7,44,45],[1,7,44,46],[1,7,44,47],[1,7,44,48],
 [1,7,44,49],[1,7,44,55],[1,7,44,58],[1,7,44,59],
 [1,7,44,60],[1,7,44,61],[1,7,44,62],[1,7,44,66],
 [1,7,44,67],[1,7,44,68],[1,7,44,69],[1,7,45,46],
 [1,7,45,47],[1,7,45,48],[1,7,45,49],[1,7,45,50],
 [1,7,45,51],[1,7,45,55],[1,7,45,58],[1,7,45,59],
 [1,7,45,60],[1,7,45,61],[1,7,45,62],[1,7,45,66],
 [1,7,45,67],[1,7,45,68],[1,7,45,69],[1,7,46,47],
 [1,7,46,48],[1,7,46,49],[1,7,46,55],[1,7,46,58],
 [1,7,46,59],[1,7,46,60],[1,7,46,61],[1,7,46,62],
 [1,7,46,66],[1,7,46,67],[1,7,46,68],[1,7,46,69],
 [1,7,47,48],[1,7,47,49],[1,7,47,55],[1,7,47,58],
 [1,7,47,59],[1,7,47,60],[1,7,47,61],[1,7,47,62],
 [1,7,47,66],[1,7,47,67],[1,7,47,68],[1,7,47,69],
 [1,7,48,49],[1,7,48,55],[1,7,48,58],[1,7,48,59],
 [1,7,48,60],[1,7,48,61],[1,7,48,62],[1,7,48,66],
 [1,7,48,67],[1,7,48,68],[1,7,48,69],[1,7,49,55],
 [1,7,49,58],[1,7,49,59],[1,7,49,60],[1,7,49,61],
 [1,7,49,62],[1,7,49,66],[1,7,49,67],[1,7,49,68],
 [1,7,49,69],[1,7,50,51],[1,7,50,55],[1,7,50,58],
 [1,7,50,60],[1,7,50,61],[1,7,50,62],[1,7,50,67],
 [1,7,50,68],[1,7,50,69],[1,7,51,55],[1,7,51,58],
 [1,7,51,60],[1,7,51,61],[1,7,51,62],[1,7,51,67],
 [1,7,51,68],[1,7,51,69],[1,7,55,58],[1,7,55,59],
 [1,7,55,60],[1,7,55,61],[1,7,55,62],[1,7,55,66],
 [1,7,55,67],[1,7,55,68],[1,7,55,69],[1,7,58,59],
 [1,7,58,60],[1,7,58,61],[1,7,58,62],[1,7,58,66],
 [1,7,58,67],[1,7,58,68],[1,7,58,69],[1,7,59,60],
 [1,7,59,61],[1,7,59,62],[1,7,59,66],[1,7,59,67],
 [1,7,59,68],[1,7,59,69],[1,7,60,61],[1,7,60,62],
 [1,7,60,66],[1,7,60,67],[1,7,60,68],[1,7,60,69],
 [1,7,61,62],[1,7,61,66],[1,7,61,67],[1,7,61,68],
 [1,7,61,69],[1,7,62,66],[1,7,62,67],[1,7,62,68],
 [1,7,62,69],[1,7,66,67],[1,7,66,68],[1,7,66,69],
 [1,7,67,68],[1,7,67,69],[1,7,68,69],[1,9,13,15],
 [1,9,13,16],[1,9,13,19],[1,9,13,20],[1,9,13,21],
 [1,9,13,22],[1,9,13,23],[1,9,13,24],[1,9,13,25],
 [1,9,13,26],[1,9,13,27],[1,9,13,34],[1,9,13,39],
 [1,9,13,41],[1,9,13,43],[1,9,13,44],[1,9,13,45],
 [1,9,13,46],[1,9,13,47],[1,9,13,48],[1,9,13,49],
 [1,9,13,55],[1,9,13,58],[1,9,13,59],[1,9,13,60],
 [1,9,13,61],[1,9,13,62],[1,9,13,66],[1,9,13,67],
 [1,9,13,68],[1,9,13,69],[1,9,15,16],[1,9,15,19],
 [1,9,15,20],[1,9,15,21],[1,9,15,22],[1,9,15,23],
 [1,9,15,24],[1,9,15,25],[1,9,15,26],[1,9,15,27],
 [1,9,15,34],[1,9,15,39],[1,9,15,41],[1,9,15,43],
 [1,9,15,44],[1,9,15,45],[1,9,15,46],[1,9,15,47],
 [1,9,15,48],[1,9,15,49],[1,9,15,55],[1,9,15,58],
 [1,9,15,59],[1,9,15,60],[1,9,15,61],[1,9,15,62],
 [1,9,15,66],[1,9,15,67],[1,9,15,68],[1,9,15,69],
 [1,9,16,19],[1,9,16,20],[1,9,16,21],[1,9,16,22],
 [1,9,16,23],[1,9,16,24],[1,9,16,25],[1,9,16,26],
 [1,9,16,27],[1,9,16,34],[1,9,16,39],[1,9,16,41],
 [1,9,16,43],[1,9,16,44],[1,9,16,45],[1,9,16,46],
 [1,9,16,47],[1,9,16,48],[1,9,16,49],[1,9,16,55],
 [1,9,16,58],[1,9,16,59],[1,9,16,60],[1,9,16,61],
 [1,9,16,62],[1,9,16,66],[1,9,16,67],[1,9,16,68],
 [1,9,16,69],[1,9,19,20],[1,9,19,21],[1,9,19,22],
 [1,9,19,23],[1,9,19,24],[1,9,19,25],[1,9,19,26],
 [1,9,19,27],[1,9,19,34],[1,9,19,39],[1,9,19,41],
 [1,9,19,43],[1,9,19,44],[1,9,19,45],[1,9,19,46],
 [1,9,19,47],[1,9,19,48],[1,9,19,49],[1,9,19,55],
 [1,9,19,58],[1,9,19,59],[1,9,19,60],[1,9,19,61],
 [1,9,19,62],[1,9,19,66],[1,9,19,67],[1,9,19,68],
 [1,9,19,69],[1,9,20,21],[1,9,20,22],[1,9,20,23],
 [1,9,20,24],[1,9,20,25],[1,9,20,26],[1,9,20,27],
 [1,9,20,34],[1,9,20,39],[1,9,20,41],[1,9,20,43],
 [1,9,20,44],[1,9,20,45],[1,9,20,46],[1,9,20,47],
 [1,9,20,48],[1,9,20,49],[1,9,20,55],[1,9,20,58],
 [1,9,20,59],[1,9,20,60],[1,9,20,61],[1,9,20,62],
 [1,9,20,66],[1,9,20,67],[1,9,20,68],[1,9,20,69],
 [1,9,21,22],[1,9,21,23],[1,9,21,24],[1,9,21,25],
 [1,9,21,26],[1,9,21,27],[1,9,21,34],[1,9,21,39],
 [1,9,21,41],[1,9,21,43],[1,9,21,44],[1,9,21,45],
 [1,9,21,46],[1,9,21,47],[1,9,21,48],[1,9,21,49],
 [1,9,21,55],[1,9,21,58],[1,9,21,59],[1,9,21,60],
 [1,9,21,61],[1,9,21,62],[1,9,21,66],[1,9,21,67],
 [1,9,21,68],[1,9,21,69],[1,9,22,23],[1,9,22,24],
 [1,9,22,25],[1,9,22,26],[1,9,22,27],[1,9,22,34],
 [1,9,22,39],[1,9,22,41],[1,9,22,43],[1,9,22,44],
 [1,9,22,45],[1,9,22,46],[1,9,22,47],[1,9,22,48],
 [1,9,22,49],[1,9,22,55],[1,9,22,58],[1,9,22,59],
 [1,9,22,60],[1,9,22,61],[1,9,22,62],[1,9,22,66],
 [1,9,22,67],[1,9,22,68],[1,9,22,69],[1,9,23,24],
 [1,9,23,25],[1,9,23,26],[1,9,23,27],[1,9,23,34],
 [1,9,23,39],[1,9,23,41],[1,9,23,43],[1,9,23,44],
 [1,9,23,45],[1,9,23,46],[1,9,23,47],[1,9,23,48],
 [1,9,23,49],[1,9,23,55],[1,9,23,58],[1,9,23,59],
 [1,9,23,60],[1,9,23,61],[1,9,23,62],[1,9,23,66],
 [1,9,23,67],[1,9,23,68],[1,9,23,69],[1,9,24,25],
 [1,9,24,26],[1,9,24,27],[1,9,24,34],[1,9,24,39],
 [1,9,24,41],[1,9,24,43],[1,9,24,44],[1,9,24,45],
 [1,9,24,46],[1,9,24,47],[1,9,24,48],[1,9,24,49],
 [1,9,24,55],[1,9,24,58],[1,9,24,59],[1,9,24,60],
 [1,9,24,61],[1,9,24,62],[1,9,24,66],[1,9,24,67],
 [1,9,24,68],[1,9,24,69],[1,9,25,26],[1,9,25,27],
 [1,9,25,34],[1,9,25,39],[1,9,25,41],[1,9,25,43],
 [1,9,25,44],[1,9,25,45],[1,9,25,46],[1,9,25,47],
 [1,9,25,48],[1,9,25,49],[1,9,25,55],[1,9,25,58],
 [1,9,25,59],[1,9,25,60],[1,9,25,61],[1,9,25,62],
 [1,9,25,66],[1,9,25,67],[1,9,25,68],[1,9,25,69],
 [1,9,26,27],[1,9,26,34],[1,9,26,39],[1,9,26,41],
 [1,9,26,43],[1,9,26,44],[1,9,26,45],[1,9,26,46],
 [1,9,26,47],[1,9,26,48],[1,9,26,49],[1,9,26,55],
 [1,9,26,58],[1,9,26,59],[1,9,26,60],[1,9,26,61],
 [1,9,26,62],[1,9,26,66],[1,9,26,67],[1,9,26,68],
 [1,9,26,69],[1,9,27,34],[1,9,27,39],[1,9,27,41],
 [1,9,27,43],[1,9,27,44],[1,9,27,45],[1,9,27,46],
 [1,9,27,47],[1,9,27,48],[1,9,27,49],[1,9,27,55],
 [1,9,27,58],[1,9,27,59],[1,9,27,60],[1,9,27,61],
 [1,9,27,62],[1,9,27,66],[1,9,27,67],[1,9,27,68],
 [1,9,27,69],[1,9,34,39],[1,9,34,41],[1,9,34,43],
 [1,9,34,44],[1,9,34,45],[1,9,34,46],[1,9,34,47],
 [1,9,34,48],[1,9,34,49],[1,9,34,55],[1,9,34,58],
 [1,9,34,59],[1,9,34,60],[1,9,34,61],[1,9,34,62],
 [1,9,34,66],[1,9,34,67],[1,9,34,68],[1,9,34,69],
 [1,9,39,41],[1,9,39,43],[1,9,39,44],[1,9,39,45],
 [1,9,39,46],[1,9,39,47],[1,9,39,48],[1,9,39,49],
 [1,9,39,55],[1,9,39,58],[1,9,39,59],[1,9,39,60],
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--> --------------------

--> maximum size reached

--> --------------------