| 54.2.a.a | 1 | qโq2+q4+3q5โq7+O(q8) | | | 54a1 rank 0 |
| 54.2.a.b | 1 | q+q2+q4โ3q5โq7+O(q8) | | | 54b1 rank 0 |
| 54.4.a.a | 1 | qโ2q2+4q4โ12q5โ7q7+O(q8) | | | |
| 54.4.a.b | 1 | qโ2q2+4q4โ3q5+29q7+O(q8) | | | |
| 54.4.a.c | 1 | q+2q2+4q4+3q5+29q7+O(q8) | | | |
| 54.4.a.d | 1 | q+2q2+4q4+12q5โ7q7+O(q8) | | | |
| 54.6.a.a | 1 | qโ4q2+16q4โ33q5+59q7+O(q8) | | | |
| 54.6.a.b | 1 | qโ4q2+16q4โ24q5+77q7+O(q8) | | | |
| 54.6.a.c | 1 | qโ4q2+16q4+84q5โ193q7+O(q8) | | | |
| 54.6.a.d | 1 | q+4q2+16q4โ84q5โ193q7+O(q8) | | | |
| 54.6.a.e | 1 | q+4q2+16q4+24q5+77q7+O(q8) | | | |
| 54.6.a.f | 1 | q+4q2+16q4+33q5+59q7+O(q8) | | | |
| 54.8.a.a | 1 | qโ8q2+64q4โ120q5+377q7+O(q8) | | | |
| 54.8.a.b | 1 | qโ8q2+64q4+105q5โ937q7+O(q8) | | | |
| 54.8.a.c | 1 | qโ8q2+64q4+312q5+323q7+O(q8) | | | |
| 54.8.a.d | 1 | q+8q2+64q4โ312q5+323q7+O(q8) | | | |
| 54.8.a.e | 1 | q+8q2+64q4โ105q5โ937q7+O(q8) | | | |
| 54.8.a.f | 1 | q+8q2+64q4+120q5+377q7+O(q8) | | | |
| 54.8.a.g | 2 | 2qโ16q2+128q4+48q5+880q7+O(q8) | | | |
| 54.8.a.h | 2 | 2q+16q2+128q4โ48q5+880q7+O(q8) | | | |