?? definite integral secretly amounting to calculation of coordinate of torsion point on algebraic group .... ??? ..... ?? from 0 to fraction of pi ?? .... ?? ...

?? quartic _part_ of torsion-points field of c mod gaussian integers .... ??? ....

?? jargon for what i think i mean by "torsion-points field" here ??? .... ?? "moduli field" ??? ... ??? .... ?? mystical significance .... ??? .... ??? .....

?? "trivial part of ..." ... ??? ... "redundant ..." .... "repeat of earlier ..." ... ??? how such redundancies / trivialities fit in / together ... ??? ....