| 231.2.a.a | 1 | qโq2โq3โq4โ2q5+q6+q7+O(q8) | +1 | | 231a1 rank 0 |
| 231.2.a.b | 2 | 2qโq2โ2q3+7q4+6q5+q6+2q7+O(q8) | +1 | | |
| 231.2.a.c | 2 | 2q+q2+2q3โq4+2q5+q6+2q7+O(q8) | +1 | | |
| 231.2.a.d | 3 | 3qโ3q3+6q4โ3q7+O(q8) | +1 | | |
| 231.2.a.e | 3 | 3q+2q2+3q3+6q4+4q5+2q6โ3q7+O(q8) | +1 | | |
| 231.4.a.a | 1 | qโ3q2โ3q3+q4โ4q5+9q6โ7q7+O(q8) | โ1 | | |
| 231.4.a.b | 1 | qโ2q2+3q3โ4q4+q5โ6q6โ7q7+O(q8) | โ1 | | |
| 231.4.a.c | 1 | q+2q2โ3q3โ4q4+11q5โ6q6โ7q7+O(q8) | โ1 | | |
| 231.4.a.d | 1 | q+3q2+3q3+q4โ14q5+9q6โ7q7+O(q8) | โ1 | | |
| 231.4.a.e | 1 | q+5q2+3q3+17q4โ6q5+15q6+7q7+O(q8) | +1 | | |
| 231.4.a.f | 2 | 2qโ3q2+6q3โ3q4โ19q5โ9q6+14q7+O(q8) | โ1 | | |
| 231.4.a.g | 2 | 2qโ3q2+6q3โ3q4+25q5โ9q6+14q7+O(q8) | +1 | | |
| 231.4.a.h | 2 | 2q+3q2โ6q3โ3q4+q5โ9q6+14q7+O(q8) | โ1 | | |
| 231.4.a.i | 2 | 2q+3q2+6q3+7q4+2q5+9q6+14q7+O(q8) | +1 | | |
| 231.4.a.j | 5 | 5qโq2โ15q3+21q4+7q5+3q6โ35q7+O(q8) | +1 | | |
| 231.4.a.k | 5 | 5qโq2โ15q3+21q4+21q5+3q6+35q7+O(q8) | +1 | | |
| 231.4.a.l | 5 | 5q+5q2+15q3+21q4+7q5+15q6โ35q7+O(q8) | +1 | | |