controls: self vs random unimodular basis change isometric 200/200; different-key pairs non-isometric 200/200 failures []
X classes with >= 2 completion classes: 1636
number of theta-isometry classes of K per X class: {1: 1557, 2: 75, 3: 4}
split X classes: exactly 2 classes differing in multiplier ring (O vs Z[theta]): 24  other: 55
by (m, #classes): {(1, 1): 1552, (1, 2): 57, (2, 1): 5, (2, 2): 5, (3, 2): 13, (3, 3): 4}
example m 1: 2 theta-classes among 36 completion classes, dets [1584, 14256], O-module flags [False, True], reps (two_graph, desc, u) [(0, 0, 20), (20, 2, 35)]
example m 1: 2 theta-classes among 36 completion classes, dets [31680], O-module flags [False], reps (two_graph, desc, u) [(1, 0, 6), (21, 1, 5)]
example m 1: 2 theta-classes among 117 completion classes, dets [31680], O-module flags [False], reps (two_graph, desc, u) [(2, 0, 6), (6, 3, 32)]
example m 1: 2 theta-classes among 117 completion classes, dets [1584, 14256], O-module flags [False, True], reps (two_graph, desc, u) [(3, 0, 19), (7, 4, 40)]
example m 1: 2 theta-classes among 66 completion classes, dets [31680], O-module flags [False], reps (two_graph, desc, u) [(4, 0, 3), (11, 1, 5)]
example m 1: 2 theta-classes among 30 completion classes, dets [31680], O-module flags [False], reps (two_graph, desc, u) [(4, 2, 28), (7, 0, 37)]
example m 1: 2 theta-classes among 48 completion classes, dets [31680], O-module flags [False], reps (two_graph, desc, u) [(4, 6, 15), (10, 3, 12)]
example m 1: 2 theta-classes among 18 completion classes, dets [31680], O-module flags [False], reps (two_graph, desc, u) [(4, 16, 33), (12, 1, 8)]
example m 1: 2 theta-classes among 30 completion classes, dets [1584, 14256], O-module flags [False, True], reps (two_graph, desc, u) [(5, 0, 19), (6, 4, 42)]
example m 1: 2 theta-classes among 48 completion classes, dets [1584, 14256], O-module flags [False, True], reps (two_graph, desc, u) [(5, 1, 27), (11, 2, 18)]
example m 1: 2 theta-classes among 66 completion classes, dets [1584, 14256], O-module flags [False, True], reps (two_graph, desc, u) [(5, 6, 14), (10, 2, 36)]
example m 1: 2 theta-classes among 20 completion classes, dets [1584, 14256], O-module flags [False, True], reps (two_graph, desc, u) [(5, 17, 21), (13, 2, 38)]
