Properties

Level 10
Symmetry odd
Weight 0
Character \( \chi_{10}(1,\cdot) \)
Multiplicity 1
Precision 0
Fricke Eigenvalue -1
Atkin-Lehner Eigenvalues n/a

Related objects

Downloads

Learn more about

Spectral parameter

$R= 1.4463991334$

The first few Fourier Coefficients

n c(n)
0  0
1 1
2 -0.707106781
3 -0.508340954
4 0.5
5 0.447213595
6 0.359451336
7 0.0848357777
8 -0.353553390
9 -0.741589473
10 -0.316227766
11 0.245263814
12 -0.254170477
13 1.037936093
14 -0.0599879536
15 -0.227336986
16 0.250000000
17 -0.0566315532
18 0.524382945
19 -0.313648787
20 0.223606797
21 -0.0431255002
22 -0.173427706
23 -1.670386734
24 0.179725668
25 0.200000000
26 -0.733931650
27 0.885321255
28 0.0424178888
29 1.265251114
30 0.160751524
31 0.556932577
32 -0.176776695
33 -0.124677641
34 0.0400445553
35 0.0379397131
36 -0.370794736
37 -1.246320407
38 0.221783184
39 -0.527625424
40 -0.158113883
41 -0.409585578
42 0.0304943336
43 0.656277230
44 0.122631907
45 -0.331648894
46 1.181141787
47 0.821072405
48 -0.127085238
49 -0.992802890
50 -0.141421356
51 0.0287881378
52 0.518968046
53 1.122603770
54 -0.626016663
55 0.109685312
56 -0.0299939768
57 0.159440524
58 -0.894667642
59 -0.243331956
60 -0.113668493
61 -0.381116000
62 -0.393810802
63 -0.0629133197
64 0.125000000
65 0.464179132
66 0.0881604056
67 -0.766625000
68 -0.0283157766
69 0.849125987
70 -0.0268274284
71 -0.335490000
72 0.262191472
73 -0.223339999
74 0.881281611
75 -0.101668190
76 -0.156824393
77 0.0208071464
78 0.373087515
79 1.316419999
80 0.111803398
81 0.291544421
82 0.289620740
83 -1.514809999
84 -0.0215627501
85 -0.0253264005
86 -0.464058079
87 -0.643178959
88 -0.0867138530
89 -0.863999999
90 0.234511182
91 0.0880541156
92 -0.835193367
93 -0.283111638
94 -0.580585866
95 -0.140268002
96 0.0898628340
97 1.901999999
98 0.702017656
99 -0.181885062
100 0.100000000
101 0.660000000
102 -0.0203562874
103 1.5
104 -0.366965825
105 -0.0192863100
106 -0.793800738