Indefinite quaternion algebras over the rationals

In this table you can find MAGMA-readable files (simply download and use the "load"-command) containing our results for the S-unit group of a maximal order in the quaternion algebra defined by i^2=a, j^2=b, realized in the 2-by-2 matrix ring over the real quadratic field Q(alpha), where alpha is always a square root of b. The file contains elements I and J corresponding to i and j respectively, a basis BB of the maximal order, a finitely presented group G, a list Gens corresponding to the generators of the S-unit group and finally a list CenterGens of elements of G corresponding to the generators of the center of the S-unit group.

The algebras are ordered by their discriminants.

a	b	Ramified primes	S	Files
2	3	2, 3	{5}	Link
			{7}	Link
			{11}	Link
			{5, 7}	Link
			{5, 11}	Link
			{7, 11}	Link
			{5, 7, 11}	Link
-2	35	5, 7	{2}	Link
			{3}	Link
			{11}	Link
			{2, 3}	Link
			{2 11}	Link
			{3, 11}	Link
			{2, 3, 11}	Link