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The dimensions shown below are for the space of cuspidal newforms in each weight and level satisfying the specified conditions.
Level | |||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | ||
Weight
|
1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | |
3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 2 | |
4 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 1 | 1 | |
5 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 2 | |
6 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 1 | 0 | 0 | 2 | 2 | 2 | 2 | 3 | 2 | 1 | 4 | 3 | 0 | 3 | |
7 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 1 | 2 | |
8 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 2 | 1 | 1 | 0 | 2 | 1 | 2 | 2 | 3 | 1 | 2 | 0 | 1 | 1 | 3 | 0 | 3 | |
9 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 2 | |
10 | 0 | 1 | 2 | 1 | 1 | 1 | 0 | 2 | 3 | 3 | 0 | 1 | 0 | 2 | 2 | 4 | 0 | 4 | 0 | 1 | 1 | 3 | 0 | 3 | |
11 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 2 | |
12 | 1 | 0 | 1 | 1 | 1 | 3 | 0 | 1 | 2 | 3 | 0 | 2 | 0 | 2 | 1 | 3 | 0 | 5 | 0 | 1 | 2 | 0 | 0 | 3 |