*

Numerical Data concerning complex and real quadratic number fields with 3-class groups of type (3,3) and (9,3) (Results of extensive runs on mainframe computers)

*

0. Introduction
	0.1. Ground State and Excited States
1. Complex Quadratic Base Fields
	1.1. Negative Discriminants with 3-Rank Two
2. Real Quadratic Base Fields
	2.1. Positive Discriminants with 3-Rank Two
	2.2. Unexpected and Surprising Results
	2.3. Finite 3-Class Field Towers of Length 2
3. Interactive Computations
	3.1. Ludolph's Circle Number in Arbitrary Multiprecision
	3.2. Multiprecision Fundamental Unit, Regulator, and Period Length of a Real Quadratic Order
	3.3. Multiprecision Fundamental Units, Regulators, Period Lengths and Unit Group Indices for a Series of Real Quadratic Orders
	3.4. Reducibility Test for a Cubic Polynomial
	3.5. Partition Functions via Bit List Operations
	3.6. The Class BigInteger and some Non-Standard Operations

*

Web master's e-mail address: contact@algebra.at

*

Back to Algebra