Rational division algebras of degree 3

In this table you can find MAGMA-readable files (simply download and use the "load"-command) containing our results for the unit group of a maximal order in degree 3 division algebras over the rationals.

Once the file is loaded, you have a splitting field K, BB a basis of the maximal order as matrices over K, S a set of rational primes, G the S-unit group of the maximal order as a finitely presented group, Gens the list of generators and CenterGens the generators of the center as elements of G.

Ramified Places	S	Files
2, 3	{5}	Link
	{7}	Link
	{11}	Link
	{5, 7}	Link
	{5, 11}	Link
	{7, 11}	Link
	{5, 7, 11}	Link
2, 5	{3}	Link
	{7}	Link
	{11}	Link
	{3, 7}	Link
	{3, 11}	Link
	{7, 11}	Link
	{3, 7, 11}	Link