…
►Inside the cusp, that is, for
, the zeros form pairs lying in curved rows.
…
►Just outside the cusp, that is, for
, there is a single row of zeros on each side.
…
►
►
…
►
36.7.3
…
…
►Vilenkin (1968, Chapter 8) constructs irreducible representations of this group, in which the diagonal matrices correspond to operators of multiplication by an exponential function.
…
…
►Wagstaff (1978) gives complete prime factorizations of
and
for
and
, respectively.
…
…
►Tables of exact values of the squares of the
and
symbols in which all parameters are
are given in
Rotenberg et al. (1959), together with a bibliography of earlier tables of
, and
symbols on pp.
…
…
►Given
, calculate
,
,
by doubling as above.
…If any of
,
,
is not an integer, then the point has infinite order.
Otherwise observe any equalities between
,
,
,
, and their negatives.
The order of a point (if finite and not already determined) can have only the values 3, 5, 6, 7, 9, 10, or 12, and so can be found from
,
,
,
,
,
, or
.
…
►
23.20.8
.
…
…
►
►
…
►
►
►
…
…
►
►
►
►
►
10.61.11
…