Function: znconreyexp
Section: number_theoretical
C-Name: znconreyexp
Prototype: GG
Help: znconreyexp(bid, chi): Conrey exponential attached to bid =
 idealstar(,q). Returns the element m in (Z/qZ)^* attached to the character
 chi on bid: znconreylog(bid, m) = chi.
Doc: Given a \var{bid} associated to $(\Z/q\Z)^*$ (as per \kbd{bid =
 idealstar(,q)}), this function returns the Conrey exponential of
 the character \var{chi}: it returns the integer
 $m \in (\Z/q\Z)^*$ such that \kbd{znconreylog(\var{bid}, $m$)} is \var{chi}.

 The character \var{chi} is given either as a

 \item \typ{VEC}: in terms of the generators \kbd{\var{bid}.gen};

 \item \typ{COL}: a Conrey logarithm.

 \bprog
 ? G = idealstar(,126000)
 ? znconreylog(G,1)
 %2 = [0, 0, 0, 0, 0]~
 ? znconreyexp(G,%)
 %3 = 1
 ? G.cyc \\ SNF generators
 %4 = [300, 12, 2, 2, 2]
 ? chi = [100, 1, 0, 1, 0]; \\ some random character on SNF generators
 ? znconreylog(G, chi)  \\ in terms of Conrey generators
 %6 = [0, 3, 3, 0, 2]~
 ? znconreyexp(G, %)  \\ apply to a Conrey log
 %7 = 18251
 ? znconreyexp(G, chi) \\ ... or a char on SNF generators
 %8 = 18251
 ? znconreychar(G,%)
 %9 = [100, 1, 0, 1, 0]
 @eprog
