MOCTable( gaptbl )
MOCTable( gaptbl, basicset )
return the MOC format table record of the GAP table gaptbl, and
stores it in the component
MOCtbl of gaptbl.
The first form can be used for ordinary (G.0) tables only, for modular
(G.p) tables one has to specify a basic set basicset of ordinary
irreducibles which must be the list of positions of these characters in
irreducibles component of the corresponding ordinary table (which
is stored in gaptbl.ordinary).
The result contains the information of gaptbl in a format similar to the MOC 3 format, the table itself can e.g. easily be printed out or be used to print out characters using PrintToMOC.
The components of the result are
MOCTable( name )where name is the
identifiercomponent of gaptbl,
MOCTableOps, containing just an appropriate
ithe number field generated by the character values of the
i--th cyclic subgroup; the
basecomponent of each field is a Parker base, (the length of
fieldsis equal to the value of label 30110 in MOC).
cycsubgps[i] = jmeans that class
iof the GAP table belongs to the
j--th cyclic subgroup of the GAP table,
repcycsub[j] = imeans that class
iof the GAP table is the representative of the
j--th cyclic subgroup of the GAP table. Note that the representatives of GAP table and MOC table need not agree!
30230power map/embedding information.) In
result.30170only a list of lists (one for each cyclic subgroup) of all these values is stored, it will not be used by GAP.
fct) is either 1 (for rational classes) or a sequence [ n x_1,1 y_1,1 z_1,1 x_1,2 y_1,2 z_1,2 ldots x_1,m_1 y_1,m_1 z_1,m_1 0 x_2,1 ldots z_2,m_2 0 ldots x_n,m_n y_n,m_n z_n,m_n 0 ] which means that the coefficient of v_k in the product [ ( sum_i=1^n a_i v_i ) ( sum_j=1^n b_j v_j ) ] is equal to [ sum_i=1^m_k x_k,i a_y_k,i b_z_k,i . ] On a MOC table in GAP the
tensinfocomponent is a list of lists, each containing exactly the sequence
[ 2 .. 19 ]; note that the necessary power maps must be stored on gaptbl to compute this component. (label 30230 in MOC)
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