Appendix C28- Calculating a Class Invariant with Ramanujan’s Octic q Continued Fraction

This appendix illustrates a calculation of one of Weber’s class invariants and compares the result obtained by Weber with the analysis presented in Chapter 28.  The analytical method provides some extra parameters for finding a suitable irreducible polynomial that can be expressed in radical form.  Consequently, the modulus of the q continued fraction is also expressed in radicals and/or nested radicals.

calculating a class invariant from ramanujan’s octic q continued fraction