 The 3-"j" symbols are given in terms of the Clebsch–Gordan coefficients by
The "j" and "m" components are angular-momentum quantum numbers, i.e., every (and every corresponding ) is either a nonnegative integer or half-odd-integer.The exponent of the sign factor is always an integer, so it remains the same when transposed to the left, and the inverse relation follows upon making the substitution