Supplementary materials
Source code of the implementation
The results are Magma-readable (via the load-command). The fields are ordered by class number. Due to Theorem 3.7 we do not list the results for all ideal classes.
Dimension 2
Class number 2
Q(sqrt(-15)), gamma 1
Q(sqrt(-15)), gamma 2
Q(sqrt(-5)), gamma 1
Q(sqrt(-5)), gamma 2
Q(sqrt(-6)), gamma 1
Q(sqrt(-6)), gamma 2
Q(sqrt(-10)), gamma 1
Q(sqrt(-10)), gamma 2
Class number 3
Q(sqrt(-15))
Q(sqrt(-5))
Q(sqrt(-6))
Q(sqrt(-10))
Class number 3
Q(sqrt(-23)), gamma 1
Q(sqrt(-23)), gamma 2
Q(sqrt(-31)), gamma 1
Q(sqrt(-31)), gamma 2