Properties

Level 10
Symmetry odd
Weight 0
Character \( \chi_{10}(9,\cdot) \)
Multiplicity 1
Precision 2e-15
Fricke Eigenvalue 1
Atkin-Lehner Eigenvalues 1,1,0,0

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Spectral parameter

$R= 3.26425130264$

The first few Fourier Coefficients

n c(n)
0  0
1 1
2 1.414213562
3  0
4 0.9999999999
5 -1.000000000
6 -1.221946465e-13
7 1.164928811e-13
8 1.414213562
9 0.9999999999
10 -1.414213562
11 -1.113183957
12 -3.596775400e-13
13 1.262464702e-13
14  0
15  0
16 1.000000000
17 -7.401815886e-13
18 1.414213562
19 -0.1715717379
20 -1.000000000
21 -6.287484919e-10
22 -1.574279849
23 1.940684114e-13
24 2.164053548e-13
25 1.000000000
26 -2.462965462e-12
27 -1.594610661e-12
28 3.390135249e-12
29 0.4461010228
30 -1.010822841e-7
31 -1.666880782
32 1.414213228
33 -3.727976165e-12
34 2.067786431e-12
35 1.428453102e-11
36 0.9999999999
37 -7.186489150e-12
38 -0.2426323466
39 9.734102781e-6
40 -1.414230400