Quaternion algebras over imaginary quadratic number fields

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 over the imaginary quadratic field Q(alpha). We only list the norms of the prime ideals in S in the table.

The number fields are ordered by their discriminants.

Minimal Polynomial of alpha	a	b	S	Files
x^2+3	-2	-7	{3}	Link
			{4}	Link
			{13}	Link
			{19}	Link
			{3, 4}	Link
			{3, 13}	Link
			{3, 19}	Link
			{4, 13}	Link
			{4, 19}	Link
			{13, 19}	Link
			{3, 4, 13}	Link
			{3, 4, 19}	Link
			{3, 13, 19}	Link
			{4, 13, 19}	Link
			{3, 4, 13, 19}	Link
x^2+1	-2	-5	{2}	Link
			{9}	Link
			{13}	Link
			{17}	Link
			{2, 9}	Link
			{2, 13}	Link
			{2, 17}	Link
			{9, 13}	Link
			{9, 17}	Link
			{13, 17}	Link
			{2, 9, 13}	Link
			{2, 9, 17}	Link
			{2, 13, 17}	Link
			{9, 13, 17}	Link
			{2, 9, 13, 17}	Link
x^2+7	-1	-1	{7}	Link
			{9}	Link
			{11}	Link
			{7, 9}	Link
			{7, 11}	Link
			{9, 11}	Link
			{7, 9, 11}	Link