Function: znconreyexp
Section: number_theoretical
C-Name: znconreyexp
Prototype: GG
Help: znconreyexp(G, chi): Conrey exponential attached to G =
 znstar(q, 1). Returns the element m in (Z/qZ)^* attached to the character
 chi on G: znconreylog(G, m) = chi.
Doc: Given a \var{znstar} $G$ attached to $(\Z/q\Z)^*$ (as per
 \kbd{G = znstar(q, 1)}), this function returns the Conrey exponential of
 the character \var{chi}: it returns the integer
 $m \in (\Z/q\Z)^*$ such that \kbd{znconreylog(G, $m$)} is \var{chi}.

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

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

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

 \bprog
 ? G = znstar(126000, 1)
 ? 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