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

$R= 7.34617187347$

The first few Fourier Coefficients

n c(n)
0  0
1 1
2 -0.707106781
3 1.837394967
4 0.5
5 0.447213595
6 -1.299234441
7 0.0938958823
8 -0.353553390
9 2.376020268
10 -0.316227766
11 -0.998431121
12 0.918697483
13 1.068928143
14 -0.0663944151
15 0.821708009
16 0.250000000
17 1.547579041
18 -1.680100044
19 -0.439384659
20 0.223606797
21 0.172523821
22 0.705997416
23 -0.265674489
24 -0.649617220
25 0.200000000
26 -0.755846338
27 2.528292716
28 0.0469479411
29 0.0210620941
30 -0.581035306
31 0.266709983
32 -0.176776695
33 -1.834512319
34 -1.094303634
35 0.0419915151
36 1.188010134
37 0.234065549
38 0.310691872
39 1.964043192
40 -0.158113883
41 -0.768301796
42 -0.121992764
43 -0.450691832
44 -0.499215560
45 1.062588567
46 0.187860233
47 -1.436095557
48 0.459348741
49 -0.991183563
50 -0.141421356
51 2.843513944
52 0.534464071
53 -0.970514144
54 -1.787772925
55 -0.446511971
56 -0.0331972075
57 -0.807323162
58 -0.0148931496
59 0.911335472
60 0.410854004
61 1.120710589
62 -0.188592437
63 0.223098519
64 0.125000000
65 0.478039198
66 1.297196101
67 -1.300954351
68 0.773789520
69 -0.488148970
70 -0.0296924851
71 -1.579023410
72 -0.840050022
73 0.0639842300
74 -0.165509337
75 0.367478993
76 -0.219692329
77 -0.0937485711
78 -1.388788259
79 0.592925299
80 0.111803398
81 2.269452047
82 0.543271409
83 -1.215801480
84 0.0862619108
85 0.692098387
86 0.318687251
87 0.0386993858
88 0.352998708
89 -0.690510599
90 -0.751363581
91 0.100367951
92 -0.132837244
93 0.490051581
94 1.015472906
95 -0.196498793
96 -0.324808610
97 0.965362000
98 0.700872618
99 -2.372292582
100 0.100000000
101 -0.631700000
102 -2.010667992
103 0.714359999
104 -0.377923169
105 0.0771549986
106 0.686257132
107 -1.167540000
108 1.264146358
109 0.814699999
110 0.315731643
111 0.430070862
112 0.0234739705
113 -0.876800000
114 0.570863682
115 -0.118813243
116 0.0105310470
117 2.539794934
118 -0.644411492
119 0.145311299
120 -0.290517653
121 -0.00313529492
122 -0.792462057
123 -1.411673853
124 0.133354991
125 0.0894427190
126 -0.157754476
127 0.750000000
128 -0.0883883476
129 -0.828098905
130 -0.338024758
131 1.268000000
132 -0.917256159
133 -0.0412564102
134 0.919913644
135 1.130686876
136 -0.547151817