↑
| Level |
1 |
| Symmetry |
even |
| Weight |
0 |
| Character |
\( \chi_{1}(1,\cdot) \) |
| Multiplicity |
1 |
| Precision |
6e-15 |
| Fricke Eigenvalue |
undefined |
| Atkin-Lehner Eigenvalues |
1 |
$R= 13.7797513519$
| n | c(n) |
|
0
|
0 |
|
1
|
1 |
|
2
|
1.549304477 |
|
3
|
0.246899772 |
|
4
|
1.400344365 |
|
5
|
0.737060385 |
|
6
|
0.382522923 |
|
7
|
-0.261420075 |
|
8
|
0.620255318 |
|
9
|
-0.939040502 |
|
10
|
1.141930961 |
|
11
|
-0.953564652 |
|
12
|
0.345744705 |
|
13
|
0.278827029 |
|
14
|
-0.405019294 |
|
15
|
0.181980041 |
|
16
|
-0.439380023 |
|
17
|
1.307341714 |
|
18
|
-1.454859655 |
|
19
|
0.0925585825 |
|
20
|
1.032138357 |
|
21
|
-0.0645445572 |
|
22
|
-1.477361986 |
|
23
|
1.138068521 |
|
24
|
0.153140896 |
|
25
|
-0.456741988 |
|
26
|
0.431987964 |
|
27
|
-0.478748658 |
|
28
|
-0.366078130 |
|
29
|
0.752113845 |
|
30
|
0.281942493 |
|
31
|
0.0248519535 |
|
32
|
-1.300988756 |
|
33
|
-0.235434895 |
|
34
|
2.025470372 |
|
35
|
-0.192682381 |
|
36
|
-1.314980076 |
|
37
|
0.199265655 |
|
38
|
0.143401426 |
|
39
|
0.0688423300 |
|
40
|
0.457165623 |
|
41
|
-0.304032996 |
|
42
|
-0.0999991715 |
|
43
|
0.783239363 |
|
44
|
-1.335318888 |
|
45
|
-0.692129554 |
|
46
|
1.763214656 |
|
47
|
0.360568410 |
|
48
|
-0.108482827 |
|
49
|
-0.931659544 |
|
50
|
-0.707632407 |
|
51
|
0.322782371 |
|
52
|
0.390453859 |
|
53
|
1.398065718 |
|
54
|
-0.741727442 |
|
55
|
-0.702834728 |
|
56
|
-0.162147186 |
|
57
|
0.0228526929 |
|
58
|
1.165253348 |
|
59
|
-1.587730961 |
|
60
|
0.254834725 |
|
61
|
1.167275968 |
|
62
|
0.0385032428 |
|
63
|
0.245484039 |
|
64
|
-1.576247682 |
|
65
|
0.205512357 |
|
66
|
-0.364760338 |
|
67
|
-0.0270938862 |
|
68
|
1.830728603 |
|
69
|
0.280988858 |
|
70
|
-0.298523676 |
|
71
|
-1.633423858 |
|
72
|
-0.582444865 |
|
73
|
1.067847736 |
|
74
|
0.308723172 |
|
75
|
-0.112769492 |
|
76
|
0.129613889 |
|
77
|
0.249280943 |
|
78
|
0.106657730 |
|
79
|
-0.531173888 |
|
80
|
-0.323849609 |
|
81
|
0.820837567 |
|
82
|
-0.471039683 |
|
83
|
-0.904532379 |
|
84
|
-0.0903846070 |
|
85
|
0.963589787 |
|
86
|
1.213476252 |
|
87
|
0.185696737 |
|
88
|
-0.591453546 |
|
89
|
-1.067353171 |
|
90
|
-1.072319417 |
|
91
|
-0.0728909849 |
|
92
|
1.593687841 |
|
93
|
0.00613594290 |
|
94
|
0.558630251 |
|
95
|
0.0682212660 |
|
96
|
-0.321213823 |
|
97
|
-0.00325711706 |
|
98
|
-1.443424306 |
|
99
|
0.895435828 |
|
100
|
-0.639596071 |
|
101
|
0.864185296 |
|
102
|
0.500088174 |
|
103
|
-1.231844841 |
|
104
|
0.172943947 |
|
105
|
-0.0475732362 |
|
106
|
2.166029479 |
|
107
|
-0.812652045 |
|
108
|
-0.670412986 |
|
109
|
-0.153741680 |
|
110
|
-1.088904994 |
|
111
|
0.0491986450 |
|
112
|
0.114862759 |
|
113
|
0.811772544 |
|
114
|
0.0354057795 |
|
115
|
0.838825222 |
|
116
|
1.053218385 |
|
117
|
-0.261829873 |
|
118
|
-2.459878688 |
|
119
|
-0.341765369 |
|
120
|
0.112874088 |
|
121
|
-0.0907144531 |
|
122
|
1.808465885 |
|
123
|
-0.0750656770 |
|
124
|
0.0348012928 |
|
125
|
-1.073706811 |
|
126
|
0.380329520 |
|
127
|
1.169661030 |
|
128
|
-1.141098835 |
|
129
|
0.193381619 |
|
130
|
0.318401215 |
|
131
|
-0.611125873 |
|
132
|
-0.329689930 |
|
133
|
-0.0241966697 |
|
134
|
-0.0419766788 |
|
135
|
-0.352866673 |
|
136
|
0.810885651 |
|
137
|
0.771802674 |
|
138
|
0.435337298 |
|
139
|
0.0953561695 |
|
140
|
-0.269821682 |
|
141
|
0.0890242652 |
|
142
|
-2.530670897 |
|
143
|
-0.265879599 |
|
144
|
0.412595638 |
|
145
|
0.554353320 |
|
146
|
1.654421280 |
|
147
|
-0.230026529 |
|
148
|
0.279040537 |
|
149
|
-0.186967522 |
|
150
|
-0.174714280 |
|
151
|
-0.283609628 |
|
152
|
0.0574099530 |
|
153
|
-1.227646820 |
|
154
|
0.386212082 |
|
155
|
0.0183173904 |
|
156
|
0.0964029691 |
|
157
|
1.146454208 |
|
158
|
-0.822950084 |
|
159
|
0.345182106 |
|
160
|
-0.958907273 |
|
161
|
-0.297513959 |
|
162
|
1.271727318 |
|
163
|
1.503612982 |
|
164
|
-0.425750895 |
|
165
|
-0.173529731 |
|
166
|
-1.401396068 |
|
167
|
-0.724341129 |
|
168
|
-0.0400341032 |
|
169
|
-0.922255489 |
|
170
|
1.492893970 |
|
171
|
-0.0869162587 |
|
172
|
1.096804834 |
|
173
|
0.0377358338 |
|
174
|
0.287700779 |
|
175
|
0.119401526 |
|
176
|
0.418977260 |
|
177
|
-0.392010409 |
|
178
|
-1.653655031 |
|
179
|
-0.592479080 |
|
180
|
-0.969219722 |
|
181
|
1.892818855 |
|
182
|
-0.112930326 |
|
183
|
0.288200170 |
|
184
|
0.705893052 |
|
185
|
0.146870821 |
|
186
|
0.00950644207 |
|
187
|
-1.246634847 |
|
188
|
0.504919941 |
|
189
|
0.125154510 |
|
190
|
0.105695510 |
|
191
|
0.454923599 |
|
192
|
-0.389175193 |
|
193
|
-0.351065362 |
|
194
|
-0.00504626321 |
|
195
|
0.0507409537 |
|
196
|
-1.304644190 |
|
197
|
-0.493490010 |
|
198
|
1.387302741 |
|
199
|
0.761559327 |
|
200
|
-0.283296647 |
|
201
|
-0.00668947162 |
|
202
|
1.338886148 |
|
203
|
-0.196617661 |
|
204
|
0.452006477 |
|
205
|
-0.224090677 |
|
206
|
-1.908502733 |
|
207
|
-1.068692435 |
|
208
|
-0.122511026 |
|
209
|
-0.0882605901 |
|
210
|
-0.0737054366 |
|
211
|
1.633495547 |
|
212
|
1.957773458 |
|
213
|
-0.403291973 |
|
214
|
-1.259045439 |
|
215
|
0.577294687 |
|
216
|
-0.296946401 |
|
217
|
-0.00649679940 |
|
218
|
-0.238192675 |
|
219
|
0.263651364 |
|
220
|
-0.984210654 |
|
221
|
0.364522206 |
|
222
|
0.0762236815 |
|
223
|
-0.889835255 |
|
224
|
0.340104581 |
|
225
|
0.428899222 |
|
226
|
1.257682838 |
|
227
|
-1.117022838 |
|
228
|
0.0320016407 |
|
229
|
-1.123129434 |
|
230
|
1.299595671 |
|
231
|
0.0615474090 |
|
232
|
0.466502606 |
|
233
|
1.131828876 |
|
234
|
-0.405654195 |
|
235
|
0.265760691 |
|
236
|
-2.223370105 |
|
237
|
-0.131146711 |
|
238
|
-0.529498613 |
|
239
|
-0.611250250 |
|
240
|
-0.0799583959 |
|
241
|
1.616881847 |
|
242
|
-0.140544311 |
|
243
|
0.681413276 |
|
244
|
1.634588326 |
|
245
|
-0.686689345 |
|
246
|
-0.116299608 |
|
247
|
0.0258078292 |
|
248
|
0.0154145608 |
|
249
|
-0.223328849 |
|
250
|
-1.663498770 |
|
251
|
-0.439756562 |
|
252
|
0.343762192 |
|
253
|
-1.085221914 |
|
254
|
1.812161073 |
|
255
|
0.237910102 |
|
256
|
-0.191661853 |
|
257
|
0.378139948 |
|
258
|
0.299607010 |
|
259
|
-0.0520920446 |
|
260
|
0.287788074 |
|
261
|
-0.706265362 |
|
262
|
-0.946820053 |
|
263
|
1.027402009 |
|
264
|
-0.146029749 |
|
265
|
1.030458859 |
|
266
|
-0.0374880121 |
|
267
|
-0.263529248 |
|
268
|
-0.0379407683 |
|
269
|
-1.481531880 |
|
270
|
-0.546697917 |
|
271
|
0.504065533 |
|
272
|
-0.574419820 |
|
273
|
-0.0179967660 |
|
274
|
1.195757326 |
|
275
|
0.435533016 |
|
276
|
0.393481165 |
|
277
|
0.0799184256 |
|
278
|
0.147735774 |
|
279
|
-0.0233369780 |
|
280
|
-0.119512272 |
|
281
|
1.266155550 |
|
282
|
0.137925683 |
|
283
|
-1.613726541 |
|
284
|
-2.287355896 |
|
285
|
0.0168438156 |
|
286
|
-0.411928454 |
|
287
|
0.0794803233 |
|
288
|
1.221681136 |
|
289
|
0.709142359 |
|
290
|
0.858862078 |
|
291
|
-0.000804182681 |
|
292
|
1.495354562 |
|
293
|
-0.996264515 |
|
294
|
-0.356381138 |
|
295
|
-1.170253594 |
|
296
|
0.123595577 |
|
297
|
0.456517794 |
|
298
|
-0.289669616 |
|
299
|
0.317324266 |
|
300
|
-0.157916106 |
|
301
|
-0.204754511 |
|
302
|
-0.439397669 |
|
303
|
0.213367156 |
|
304
|
-0.0406683966 |
|
305
|
0.860352873 |
|
306
|
-1.901998712 |
|
307
|
1.124432662 |
|
308
|
0.349079139 |
|
309
|
-0.304142200 |
|
310
|
0.0283792153 |
|
311
|
-0.00399673211 |
|
312
|
0.0426998237 |
|
313
|
0.478964510 |
|
314
|
1.776206637 |
|
315
|
0.180936560 |
|
316
|
-0.743826361 |
|
317
|
-1.583557030 |
|
318
|
0.534792183 |
|
319
|
-0.717189176 |
|
320
|
-1.161789726 |
|
321
|
-0.200643604 |
|
322
|
-0.460939709 |
|
323
|
0.121005698 |
|
324
|
1.149455267 |
|
325
|
-0.127352018 |
|
326
|
2.329554331 |
|
327
|
-0.0379587878 |
|
328
|
-0.188578088 |
|
329
|
-0.0942598231 |
|
330
|
-0.268850394 |
|
331
|
1.115206237 |
|
332
|
-1.266656811 |
|
333
|
-0.187118539 |
|
334
|
-1.122224955 |
|
335
|
-0.0199698226 |
|
336
|
0.0283595711 |
|
337
|
0.439003183 |
|
338
|
-1.428854552 |
|
339
|
0.200426447 |
|
340
|
1.349357549 |
|
341
|
-0.0236979707 |
|
342
|
-0.134659714 |
|
343
|
0.504974570 |
|
344
|
0.485808381 |
|
345
|
0.207105756 |
|
346
|
0.0584642935 |
|
347
|
-1.431567590 |
|
348
|
0.260039379 |
|
349
|
-0.350135308 |
|
350
|
0.184989318 |
|
351
|
-0.133488066 |
|
352
|
1.240576889 |
|
353
|
1.762560582 |
|
354
|
-0.607343487 |
|
355
|
-1.203932020 |
|
356
|
-1.494662001 |
|
357
|
-0.0843817938 |
|
358
|
-0.917930479 |
|
359
|
0.532518498 |
|
360
|
-0.429297036 |
|
361
|
-0.991432913 |
|
362
|
2.932552736 |
|
363
|
-0.0223973860 |
|
364
|
-0.102072479 |
|
365
|
0.787068264 |
|
366
|
0.446509812 |
|
367
|
-0.00334167972 |
|
368
|
-0.500044586 |
|
369
|
0.285499321 |
|
370
|
0.227547615 |
|
371
|
-0.365482437 |
|
372
|
0.00859243128 |
|
373
|
-0.987646262 |
|
374
|
-1.931416941 |
|
375
|
-0.265097990 |
|
376
|
0.223644487 |
|
377
|
0.209709670 |
|
378
|
0.193902451 |
|
379
|
1.593305018 |
|
380
|
0.0955332828 |
|
381
|
0.288789043 |
|
382
|
0.704815172 |
|
383
|
0.0502016858 |
|
384
|
-0.281737043 |
|
385
|
0.183735107 |
|
386
|
-0.543907138 |
|
387
|
-0.735493490 |
|
388
|
-0.00456108180 |
|
389
|
-0.327358995 |
|
390
|
0.0786131878 |
|
391
|
1.487844454 |
|
392
|
-0.577866787 |
|
393
|
-0.150886837 |
|
394
|
-0.764566281 |
|
395
|
-0.391507227 |
|
396
|
1.253918518 |
|
397
|
-1.893151273 |
|
398
|
1.179887269 |
|
399
|
-0.00597414794 |
|
400
|
0.200683303 |
|
401
|
-0.812603436 |
|
402
|
-0.0103640325 |
|
403
|
0.00692939108 |
|
404
|
1.210157016 |
|
405
|
0.605006850 |
|
406
|
-0.304620622 |
|
407
|
-0.190012695 |
|
408
|
0.200207480 |
|
409
|
1.475395940 |
|
410
|
-0.347184677 |
|
411
|
0.190557906 |
|
412
|
-1.725006973 |
|
413
|
0.415064753 |
|
414
|
-1.655729975 |
|
415
|
-0.666694996 |
|
416
|
-0.362750851 |
|
417
|
0.0235434228 |
|
418
|
-0.136742524 |
|
419
|
0.739679660 |
|
420
|
-0.0666189182 |
|
421
|
0.879251406 |
|
422
|
2.530781966 |
|
423
|
-0.338588340 |
|
424
|
0.867157698 |
|
425
|
-0.597117853 |
|
426
|
-0.624822070 |
|
427
|
-0.305149370 |
|
428
|
-1.137992713 |
|
429
|
-0.0656456133 |
|
430
|
0.894405275 |
|
431
|
-1.208366785 |
|
432
|
0.210352597 |
|
433
|
-0.157137548 |
|
434
|
-0.0100655189 |
|
435
|
0.136869711 |
|
436
|
-0.215291300 |
|
437
|
0.105338011 |
|
438
|
0.408476232 |
|
439
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498
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499
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0.435917006 |
