Properties

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

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Spectral parameter

$R= 3.20437245526$

The first few Fourier Coefficients

n c(n)
0  0
1 1
2 0.707106781
3 0.242882165
4 0.5
5 0.447213595
6 0.171743625
7 -0.973124353
8 0.353553390
9 -0.941008253
10 0.316227766
11 1.259007890
12 0.121441082
13 0.389290098
14 -0.688102829
15 0.108620206
16 0.250000000
17 -1.741707919
18 -0.665393317
19 1.160170985
20 0.223606797
21 -0.236354549
22 0.890253017
23 0.0874735312
24 0.0858718129
25 0.200000000
26 0.275269668
27 -0.471436287
28 -0.486562176
29 -0.396547029
30 0.0768060844
31 0.472010444
32 0.176776695
33 0.305790562
34 -1.231573480
35 -0.435194441
36 -0.470504126
37 0.215746632
38 0.820364771
39 0.0945516219
40 0.158113883
41 0.700690471
42 -0.167127905
43 0.511644563
44 0.629503945
45 -0.420831684
46 0.0618531270
47 -0.707063388
48 0.0607205412
49 -0.0530289922
50 0.141421356
51 -0.423029790
52 0.194645049
53 -1.800313269
54 -0.333355795
55 0.563045445
56 -0.344051414
57 0.281784840
58 -0.280401093
59 1.151346900
60 0.0543101031
61 0.176450689
62 0.333761786
63 0.915718048
64 0.125000000
65 0.174095824
66 0.216226580
67 0.407194000
68 -0.870853959
69 0.0212457606
70 -0.307728940
71 -1.142711000
72 -0.332696658
73 0.382218999
74 0.152555907
75 0.0485764330
76 0.580085492
77 -1.225171239
78 0.0668580930
79 -1.455319999
80 0.111803398
81 0.826504787
82 0.495462983
83 0.904660000
84 -0.118177274
85 -0.778915460
86 0.361787340
87 -0.0963142011
88 0.445126508
89 0.825099999
90 -0.297572937
91 -0.378827675
92 0.0437367656
93 0.114642918
94 -0.499969316
95 0.518844237
96 0.0429359064
97 1.290499999
98 -0.0374971600
99 -1.184736816
100 0.100000000
101 0.504000000
102 -0.299127233
103 -0.194000000
104 0.137634834
105 -0.105700968
106 -1.273013721
107 -0.203000000
108 -0.235718143
109 0.371999999
110 0.398133252
111 0.0524010093
112 -0.243281088
113 -1.699999999
114 0.199251971
115 0.0391193524
116 -0.198273514
117 -0.366325195
118 0.814125200
119 1.694898393
120 0.0384030422
121 0.585100868
122 0.124769479
123 0.170185218
124 0.236005222
125 0.0894427190
126 0.647510441
127  0
128 0.0883883476
129 0.124269339
130 0.123104338