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

$R= 24.5476372745$

The first few Fourier Coefficients

n c(n)
0  0
1 1
2 0.707106781
3 -0.949202860
4 0.5
5 0.447213595
6 -0.671187779
7 -1.927448864
8 0.353553390
9 -0.0990139299
10 0.316227766
11 -0.0666894729
12 -0.474601430
13 1.616760055
14 -1.362912162
15 -0.424496424
16 0.250000000
17 -0.871708397
18 -0.0700134212
19 1.604203702
20 0.223606797
21 1.829539974
22 -0.0471565785
23 0.344538102
24 -0.335593889
25 0.200000000
26 1.143221998
27 1.043187165
28 -0.963724432
29 0.889978156
30 -0.300164300
31 -1.569447546
32 0.176776695
33 0.0633018384
34 -0.616390918
35 -0.861981336
36 -0.0495069649
37 0.317753477
38 1.134343316
39 -1.534633269
40 0.158113883
41 -1.407356018
42 1.293680122
43 0.646194065
44 -0.0333447364
45 -0.0442803756
46 0.243625228
47 -1.068969176
48 -0.237300715
49 2.715059123
50 0.141421356
51 0.827428104
52 0.808380027
53 0.845422052
54 0.737644719
55 -0.0298244389
56 -0.681456081
57 -1.522714743
58 0.629309589
59 0.806137428
60 -0.212248212
61 -1.123951689
62 -1.109767002
63 0.190844286
64 0.125000000
65 0.723037077
66 0.0447611592
67 0.0855534331
68 -0.435854198
69 -0.327036552
70 -0.609512848
71 0.348270964
72 -0.0350067106
73 -0.465356760
74 0.224685638
75 -0.189840572
76 0.802101851
77 0.128540548
78 -1.085149591
79 -0.820375758
80 0.111803398
81 -0.891182311
82 -0.995150984
83 -0.133260437
84 0.914769987
85 -0.389839846
86 0.456928205
87 -0.844769811
88 -0.0235782892
89 0.366243406
90 -0.0313109538
91 -3.116222332
92 0.172269051
93 1.489724099
94 -0.755875353
95 0.717421705
96 -0.167796944
97 -0.489852751
98 1.919836717
99 0.00660318678
100 0.100000000
101 0.0885601844
102 0.585080023
103 0.799931729
104 0.571610999
105 0.818195150
106 0.597803666
107 -1.201266569
108 0.521593582
109 -0.261286253
110 -0.0210890630
111 -0.301612510
112 -0.481862216
113 0.302646486
114 -1.076721920
115 0.154082123
116 0.444989078
117 -0.160081766
118 0.570025242
119 1.680173360
120 -0.150082150
121 -0.995552514
122 -0.794753861
123 1.335866358
124 -0.784723773
125 0.0894427190
126 0.134947289
127 -1.815091140
128 0.0883883476
129 -0.613369255
130 0.511264420
131 -1.641949035
132 0.0316509192
133 -3.092020605
134 0.0604954126
135 0.466527483
136 -0.308195459
137 0.446551139
138 -0.231249763
139 -1.564262692
140 -0.430990668
141 1.014668602
142 0.246264760
143 -0.107820879
144 -0.0247534824
145 0.398010331
146 -0.329056921
147 -2.577141875
148 0.158876738
149 -1.098691703
150 -0.134237555
151 0.208916973
152 0.567171658
153 0.0863112941
154 0.0908918937
155 -0.701878280
156 -0.767316634
157 0.874148109
158 -0.580093262
159 -0.802477223
160 0.0790569415
161 -0.664079866
162 -0.630161055
163 -0.966900977
164 -0.703678009
165 0.0283094427
166 -0.0942293587
167 -0.653605401
168 0.646840061
169 1.613912739
170 -0.275658399
171 -0.158838995
172 0.323097032
173 1.241504785
174 -0.597342462
175 -0.385489772
176 -0.0166723682
177 -0.765186091
178 0.258973196
179 0.196798289
180 -0.0221401878
181 0.0791991778
182 -2.203501943
183 1.066876546
184 0.121812614
185 0.142103675
186 1.053394013
187 0.0581097683
188 -0.534484588
189 -2.010720740
190 0.507293753
191 -1.183403126
192 -0.118650357
193 0.617660712
194 -0.346378202
195 -0.686308862
196 1.357529561
197 1.337095017
198 0.00466915815
199 0.0871575267
200 0.0707106781
201 -0.0801760793
202 0.0626215069
203 -1.714370979
204 0.413714052
205 -0.629388745
206 0.565637150
207 -0.0322299170
208 0.404190013
209 -0.105565175
210 0.578551339
211 -0.764701138
212 0.422711026
213 -0.335511284
214 -0.849423737
215 0.288986771
216 0.368822359
217 3.028731605
218 -0.184757281
219 0.363990888
220 -0.0149122194
221 -1.262274092
222 -0.213272251
223 -0.746465759