 Unlike the quadratic case, where the square of the Gauss sum is known and the precise square root was determined by Gauss, here the cube of "G"("χ") lies in the Eisenstein integers, but its argument is determined by that of the Eisenstein prime dividing "p", which splits in that field.Kummer made a statistical conjecture about "θ""p" and its distribution modulo 2π (in other words, on the argument of the Kummer sum on the unit circle).For that to make sense, one has to choose between the two possible χ