Properties

Label 2592.3.e.i.161.10
Level 25922592
Weight 33
Character 2592.161
Analytic conductor 70.62770.627
Analytic rank 00
Dimension 2424
Inner twists 44

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [2592,3,Mod(161,2592)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(2592, base_ring=CyclotomicField(2))
 
chi = DirichletCharacter(H, H._module([0, 0, 1]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("2592.161");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: N N == 2592=2534 2592 = 2^{5} \cdot 3^{4}
Weight: k k == 3 3
Character orbit: [χ][\chi] == 2592.e (of order 22, degree 11, minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: 70.626884522270.6268845222
Analytic rank: 00
Dimension: 2424
Twist minimal: no (minimal twist has level 288)
Sato-Tate group: SU(2)[C2]\mathrm{SU}(2)[C_{2}]

Embedding invariants

Embedding label 161.10
Character χ\chi == 2592.161
Dual form 2592.3.e.i.161.9

qq-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
f(q)f(q) == q+2.12450iq5+6.84941q75.24998iq11+20.0322q13+0.0666728iq17+27.2587q19+21.4411iq23+20.4865q2543.0612iq2916.1303q31+14.5516iq3522.3835q37+2.96299iq41+29.3416q4344.3085iq472.08563q49+12.8946iq53+11.1536q55+86.6134iq5912.9054q61+42.5585iq65122.838q67125.360iq71+90.7813q7335.9593iq77+48.5047q79116.787iq830.141647q85116.172iq89+137.209q91+57.9111iq95+46.5562q97+O(q100)q+2.12450i q^{5} +6.84941 q^{7} -5.24998i q^{11} +20.0322 q^{13} +0.0666728i q^{17} +27.2587 q^{19} +21.4411i q^{23} +20.4865 q^{25} -43.0612i q^{29} -16.1303 q^{31} +14.5516i q^{35} -22.3835 q^{37} +2.96299i q^{41} +29.3416 q^{43} -44.3085i q^{47} -2.08563 q^{49} +12.8946i q^{53} +11.1536 q^{55} +86.6134i q^{59} -12.9054 q^{61} +42.5585i q^{65} -122.838 q^{67} -125.360i q^{71} +90.7813 q^{73} -35.9593i q^{77} +48.5047 q^{79} -116.787i q^{83} -0.141647 q^{85} -116.172i q^{89} +137.209 q^{91} +57.9111i q^{95} +46.5562 q^{97} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 24q120q25+72q49+192q61+24q73192q85+264q97+O(q100) 24 q - 120 q^{25} + 72 q^{49} + 192 q^{61} + 24 q^{73} - 192 q^{85} + 264 q^{97}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/2592Z)×\left(\mathbb{Z}/2592\mathbb{Z}\right)^\times.

nn 325325 12171217 24312431
χ(n)\chi(n) 11 1-1 11

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 0 0
33 0 0
44 0 0
55 2.12450i 0.424900i 0.977172 + 0.212450i 0.0681443π0.0681443\pi
−0.977172 + 0.212450i 0.931856π0.931856\pi
66 0 0
77 6.84941 0.978487 0.489243 0.872147i 0.337273π-0.337273\pi
0.489243 + 0.872147i 0.337273π0.337273\pi
88 0 0
99 0 0
1010 0 0
1111 − 5.24998i − 0.477271i −0.971109 0.238636i 0.923300π-0.923300\pi
0.971109 0.238636i 0.0767002π-0.0767002\pi
1212 0 0
1313 20.0322 1.54094 0.770471 0.637475i 0.220021π-0.220021\pi
0.770471 + 0.637475i 0.220021π0.220021\pi
1414 0 0
1515 0 0
1616 0 0
1717 0.0666728i 0.00392193i 0.999998 + 0.00196097i 0.000624195π0.000624195\pi
−0.999998 + 0.00196097i 0.999376π0.999376\pi
1818 0 0
1919 27.2587 1.43467 0.717334 0.696730i 0.245362π-0.245362\pi
0.717334 + 0.696730i 0.245362π0.245362\pi
2020 0 0
2121 0 0
2222 0 0
2323 21.4411i 0.932220i 0.884727 + 0.466110i 0.154345π0.154345\pi
−0.884727 + 0.466110i 0.845655π0.845655\pi
2424 0 0
2525 20.4865 0.819460
2626 0 0
2727 0 0
2828 0 0
2929 − 43.0612i − 1.48487i −0.669918 0.742435i 0.733671π-0.733671\pi
0.669918 0.742435i 0.266329π-0.266329\pi
3030 0 0
3131 −16.1303 −0.520333 −0.260167 0.965564i 0.583777π-0.583777\pi
−0.260167 + 0.965564i 0.583777π0.583777\pi
3232 0 0
3333 0 0
3434 0 0
3535 14.5516i 0.415759i
3636 0 0
3737 −22.3835 −0.604961 −0.302480 0.953156i 0.597815π-0.597815\pi
−0.302480 + 0.953156i 0.597815π0.597815\pi
3838 0 0
3939 0 0
4040 0 0
4141 2.96299i 0.0722680i 0.999347 + 0.0361340i 0.0115043π0.0115043\pi
−0.999347 + 0.0361340i 0.988496π0.988496\pi
4242 0 0
4343 29.3416 0.682363 0.341182 0.939997i 0.389173π-0.389173\pi
0.341182 + 0.939997i 0.389173π0.389173\pi
4444 0 0
4545 0 0
4646 0 0
4747 − 44.3085i − 0.942734i −0.881937 0.471367i 0.843761π-0.843761\pi
0.881937 0.471367i 0.156239π-0.156239\pi
4848 0 0
4949 −2.08563 −0.0425638
5050 0 0
5151 0 0
5252 0 0
5353 12.8946i 0.243294i 0.992573 + 0.121647i 0.0388176π0.0388176\pi
−0.992573 + 0.121647i 0.961182π0.961182\pi
5454 0 0
5555 11.1536 0.202793
5656 0 0
5757 0 0
5858 0 0
5959 86.6134i 1.46802i 0.679137 + 0.734012i 0.262354π0.262354\pi
−0.679137 + 0.734012i 0.737646π0.737646\pi
6060 0 0
6161 −12.9054 −0.211564 −0.105782 0.994389i 0.533735π-0.533735\pi
−0.105782 + 0.994389i 0.533735π0.533735\pi
6262 0 0
6363 0 0
6464 0 0
6565 42.5585i 0.654747i
6666 0 0
6767 −122.838 −1.83341 −0.916704 0.399568i 0.869160π-0.869160\pi
−0.916704 + 0.399568i 0.869160π0.869160\pi
6868 0 0
6969 0 0
7070 0 0
7171 − 125.360i − 1.76563i −0.469717 0.882817i 0.655644π-0.655644\pi
0.469717 0.882817i 0.344356π-0.344356\pi
7272 0 0
7373 90.7813 1.24358 0.621790 0.783184i 0.286406π-0.286406\pi
0.621790 + 0.783184i 0.286406π0.286406\pi
7474 0 0
7575 0 0
7676 0 0
7777 − 35.9593i − 0.467004i
7878 0 0
7979 48.5047 0.613983 0.306992 0.951712i 0.400678π-0.400678\pi
0.306992 + 0.951712i 0.400678π0.400678\pi
8080 0 0
8181 0 0
8282 0 0
8383 − 116.787i − 1.40707i −0.710661 0.703534i 0.751604π-0.751604\pi
0.710661 0.703534i 0.248396π-0.248396\pi
8484 0 0
8585 −0.141647 −0.00166643
8686 0 0
8787 0 0
8888 0 0
8989 − 116.172i − 1.30531i −0.757656 0.652654i 0.773655π-0.773655\pi
0.757656 0.652654i 0.226345π-0.226345\pi
9090 0 0
9191 137.209 1.50779
9292 0 0
9393 0 0
9494 0 0
9595 57.9111i 0.609591i
9696 0 0
9797 46.5562 0.479961 0.239980 0.970778i 0.422859π-0.422859\pi
0.239980 + 0.970778i 0.422859π0.422859\pi
9898 0 0
9999 0 0
100100 0 0
101101 135.120i 1.33782i 0.743343 + 0.668911i 0.233239π0.233239\pi
−0.743343 + 0.668911i 0.766761π0.766761\pi
102102 0 0
103103 −15.8330 −0.153718 −0.0768592 0.997042i 0.524489π-0.524489\pi
−0.0768592 + 0.997042i 0.524489π0.524489\pi
104104 0 0
105105 0 0
106106 0 0
107107 191.129i 1.78625i 0.449810 + 0.893124i 0.351492π0.351492\pi
−0.449810 + 0.893124i 0.648508π0.648508\pi
108108 0 0
109109 144.818 1.32861 0.664304 0.747463i 0.268728π-0.268728\pi
0.664304 + 0.747463i 0.268728π0.268728\pi
110110 0 0
111111 0 0
112112 0 0
113113 − 96.4026i − 0.853120i −0.904459 0.426560i 0.859725π-0.859725\pi
0.904459 0.426560i 0.140275π-0.140275\pi
114114 0 0
115115 −45.5516 −0.396101
116116 0 0
117117 0 0
118118 0 0
119119 0.456669i 0.00383756i
120120 0 0
121121 93.4377 0.772212
122122 0 0
123123 0 0
124124 0 0
125125 96.6361i 0.773089i
126126 0 0
127127 −127.727 −1.00572 −0.502861 0.864367i 0.667719π-0.667719\pi
−0.502861 + 0.864367i 0.667719π0.667719\pi
128128 0 0
129129 0 0
130130 0 0
131131 − 32.6907i − 0.249548i −0.992185 0.124774i 0.960179π-0.960179\pi
0.992185 0.124774i 0.0398205π-0.0398205\pi
132132 0 0
133133 186.706 1.40380
134134 0 0
135135 0 0
136136 0 0
137137 − 184.427i − 1.34618i −0.739561 0.673089i 0.764967π-0.764967\pi
0.739561 0.673089i 0.235033π-0.235033\pi
138138 0 0
139139 −238.705 −1.71730 −0.858652 0.512558i 0.828698π-0.828698\pi
−0.858652 + 0.512558i 0.828698π0.828698\pi
140140 0 0
141141 0 0
142142 0 0
143143 − 105.169i − 0.735447i
144144 0 0
145145 91.4837 0.630922
146146 0 0
147147 0 0
148148 0 0
149149 256.660i 1.72255i 0.508141 + 0.861274i 0.330333π0.330333\pi
−0.508141 + 0.861274i 0.669667π0.669667\pi
150150 0 0
151151 −83.2741 −0.551484 −0.275742 0.961232i 0.588924π-0.588924\pi
−0.275742 + 0.961232i 0.588924π0.588924\pi
152152 0 0
153153 0 0
154154 0 0
155155 − 34.2689i − 0.221090i
156156 0 0
157157 159.564 1.01633 0.508166 0.861259i 0.330324π-0.330324\pi
0.508166 + 0.861259i 0.330324π0.330324\pi
158158 0 0
159159 0 0
160160 0 0
161161 146.859i 0.912165i
162162 0 0
163163 18.4140 0.112970 0.0564848 0.998403i 0.482011π-0.482011\pi
0.0564848 + 0.998403i 0.482011π0.482011\pi
164164 0 0
165165 0 0
166166 0 0
167167 202.147i 1.21046i 0.796051 + 0.605229i 0.206919π0.206919\pi
−0.796051 + 0.605229i 0.793081π0.793081\pi
168168 0 0
169169 232.291 1.37450
170170 0 0
171171 0 0
172172 0 0
173173 100.965i 0.583613i 0.956477 + 0.291807i 0.0942564π0.0942564\pi
−0.956477 + 0.291807i 0.905744π0.905744\pi
174174 0 0
175175 140.320 0.801830
176176 0 0
177177 0 0
178178 0 0
179179 − 45.8305i − 0.256036i −0.991772 0.128018i 0.959138π-0.959138\pi
0.991772 0.128018i 0.0408616π-0.0408616\pi
180180 0 0
181181 55.7708 0.308126 0.154063 0.988061i 0.450764π-0.450764\pi
0.154063 + 0.988061i 0.450764π0.450764\pi
182182 0 0
183183 0 0
184184 0 0
185185 − 47.5539i − 0.257048i
186186 0 0
187187 0.350031 0.00187182
188188 0 0
189189 0 0
190190 0 0
191191 316.396i 1.65652i 0.560341 + 0.828262i 0.310670π0.310670\pi
−0.560341 + 0.828262i 0.689330π0.689330\pi
192192 0 0
193193 375.293 1.94452 0.972262 0.233895i 0.0751474π-0.0751474\pi
0.972262 + 0.233895i 0.0751474π0.0751474\pi
194194 0 0
195195 0 0
196196 0 0
197197 − 46.6367i − 0.236734i −0.992970 0.118367i 0.962234π-0.962234\pi
0.992970 0.118367i 0.0377660π-0.0377660\pi
198198 0 0
199199 −192.041 −0.965033 −0.482516 0.875887i 0.660277π-0.660277\pi
−0.482516 + 0.875887i 0.660277π0.660277\pi
200200 0 0
201201 0 0
202202 0 0
203203 − 294.944i − 1.45293i
204204 0 0
205205 −6.29487 −0.0307067
206206 0 0
207207 0 0
208208 0 0
209209 − 143.108i − 0.684725i
210210 0 0
211211 315.180 1.49374 0.746872 0.664968i 0.231555π-0.231555\pi
0.746872 + 0.664968i 0.231555π0.231555\pi
212212 0 0
213213 0 0
214214 0 0
215215 62.3363i 0.289936i
216216 0 0
217217 −110.483 −0.509139
218218 0 0
219219 0 0
220220 0 0
221221 1.33561i 0.00604347i
222222 0 0
223223 184.372 0.826779 0.413390 0.910554i 0.364345π-0.364345\pi
0.413390 + 0.910554i 0.364345π0.364345\pi
224224 0 0
225225 0 0
226226 0 0
227227 − 132.566i − 0.583992i −0.956420 0.291996i 0.905681π-0.905681\pi
0.956420 0.291996i 0.0943193π-0.0943193\pi
228228 0 0
229229 −24.0705 −0.105111 −0.0525556 0.998618i 0.516737π-0.516737\pi
−0.0525556 + 0.998618i 0.516737π0.516737\pi
230230 0 0
231231 0 0
232232 0 0
233233 − 135.751i − 0.582621i −0.956629 0.291311i 0.905909π-0.905909\pi
0.956629 0.291311i 0.0940913π-0.0940913\pi
234234 0 0
235235 94.1335 0.400568
236236 0 0
237237 0 0
238238 0 0
239239 − 429.285i − 1.79617i −0.439821 0.898085i 0.644958π-0.644958\pi
0.439821 0.898085i 0.355042π-0.355042\pi
240240 0 0
241241 −182.403 −0.756858 −0.378429 0.925630i 0.623536π-0.623536\pi
−0.378429 + 0.925630i 0.623536π0.623536\pi
242242 0 0
243243 0 0
244244 0 0
245245 − 4.43092i − 0.0180854i
246246 0 0
247247 546.053 2.21074
248248 0 0
249249 0 0
250250 0 0
251251 69.0483i 0.275093i 0.990495 + 0.137546i 0.0439216π0.0439216\pi
−0.990495 + 0.137546i 0.956078π0.956078\pi
252252 0 0
253253 112.565 0.444922
254254 0 0
255255 0 0
256256 0 0
257257 106.339i 0.413770i 0.978365 + 0.206885i 0.0663326π0.0663326\pi
−0.978365 + 0.206885i 0.933667π0.933667\pi
258258 0 0
259259 −153.314 −0.591946
260260 0 0
261261 0 0
262262 0 0
263263 242.212i 0.920960i 0.887670 + 0.460480i 0.152323π0.152323\pi
−0.887670 + 0.460480i 0.847677π0.847677\pi
264264 0 0
265265 −27.3946 −0.103376
266266 0 0
267267 0 0
268268 0 0
269269 143.438i 0.533228i 0.963803 + 0.266614i 0.0859049π0.0859049\pi
−0.963803 + 0.266614i 0.914095π0.914095\pi
270270 0 0
271271 59.8857 0.220980 0.110490 0.993877i 0.464758π-0.464758\pi
0.110490 + 0.993877i 0.464758π0.464758\pi
272272 0 0
273273 0 0
274274 0 0
275275 − 107.554i − 0.391105i
276276 0 0
277277 314.916 1.13688 0.568441 0.822724i 0.307547π-0.307547\pi
0.568441 + 0.822724i 0.307547π0.307547\pi
278278 0 0
279279 0 0
280280 0 0
281281 − 40.6153i − 0.144539i −0.997385 0.0722693i 0.976976π-0.976976\pi
0.997385 0.0722693i 0.0230241π-0.0230241\pi
282282 0 0
283283 101.897 0.360059 0.180030 0.983661i 0.442381π-0.442381\pi
0.180030 + 0.983661i 0.442381π0.442381\pi
284284 0 0
285285 0 0
286286 0 0
287287 20.2947i 0.0707133i
288288 0 0
289289 288.996 0.999985
290290 0 0
291291 0 0
292292 0 0
293293 − 134.113i − 0.457724i −0.973459 0.228862i 0.926500π-0.926500\pi
0.973459 0.228862i 0.0735004π-0.0735004\pi
294294 0 0
295295 −184.010 −0.623764
296296 0 0
297297 0 0
298298 0 0
299299 429.513i 1.43650i
300300 0 0
301301 200.973 0.667683
302302 0 0
303303 0 0
304304 0 0
305305 − 27.4176i − 0.0898937i
306306 0 0
307307 −129.799 −0.422799 −0.211400 0.977400i 0.567802π-0.567802\pi
−0.211400 + 0.977400i 0.567802π0.567802\pi
308308 0 0
309309 0 0
310310 0 0
311311 202.089i 0.649803i 0.945748 + 0.324902i 0.105331π0.105331\pi
−0.945748 + 0.324902i 0.894669π0.894669\pi
312312 0 0
313313 337.004 1.07669 0.538346 0.842724i 0.319050π-0.319050\pi
0.538346 + 0.842724i 0.319050π0.319050\pi
314314 0 0
315315 0 0
316316 0 0
317317 310.337i 0.978980i 0.872009 + 0.489490i 0.162817π0.162817\pi
−0.872009 + 0.489490i 0.837183π0.837183\pi
318318 0 0
319319 −226.071 −0.708686
320320 0 0
321321 0 0
322322 0 0
323323 1.81741i 0.00562667i
324324 0 0
325325 410.390 1.26274
326326 0 0
327327 0 0
328328 0 0
329329 − 303.487i − 0.922452i
330330 0 0
331331 164.459 0.496854 0.248427 0.968651i 0.420086π-0.420086\pi
0.248427 + 0.968651i 0.420086π0.420086\pi
332332 0 0
333333 0 0
334334 0 0
335335 − 260.970i − 0.779015i
336336 0 0
337337 −189.077 −0.561060 −0.280530 0.959845i 0.590510π-0.590510\pi
−0.280530 + 0.959845i 0.590510π0.590510\pi
338338 0 0
339339 0 0
340340 0 0
341341 84.6840i 0.248340i
342342 0 0
343343 −349.906 −1.02013
344344 0 0
345345 0 0
346346 0 0
347347 − 431.072i − 1.24228i −0.783699 0.621141i 0.786669π-0.786669\pi
0.783699 0.621141i 0.213331π-0.213331\pi
348348 0 0
349349 366.650 1.05057 0.525287 0.850925i 0.323958π-0.323958\pi
0.525287 + 0.850925i 0.323958π0.323958\pi
350350 0 0
351351 0 0
352352 0 0
353353 58.5238i 0.165790i 0.996558 + 0.0828949i 0.0264166π0.0264166\pi
−0.996558 + 0.0828949i 0.973583π0.973583\pi
354354 0 0
355355 266.328 0.750218
356356 0 0
357357 0 0
358358 0 0
359359 − 48.0665i − 0.133890i −0.997757 0.0669449i 0.978675π-0.978675\pi
0.997757 0.0669449i 0.0213252π-0.0213252\pi
360360 0 0
361361 382.036 1.05827
362362 0 0
363363 0 0
364364 0 0
365365 192.865i 0.528397i
366366 0 0
367367 −114.347 −0.311573 −0.155787 0.987791i 0.549791π-0.549791\pi
−0.155787 + 0.987791i 0.549791π0.549791\pi
368368 0 0
369369 0 0
370370 0 0
371371 88.3203i 0.238060i
372372 0 0
373373 345.956 0.927496 0.463748 0.885967i 0.346504π-0.346504\pi
0.463748 + 0.885967i 0.346504π0.346504\pi
374374 0 0
375375 0 0
376376 0 0
377377 − 862.613i − 2.28810i
378378 0 0
379379 −323.425 −0.853364 −0.426682 0.904402i 0.640318π-0.640318\pi
−0.426682 + 0.904402i 0.640318π0.640318\pi
380380 0 0
381381 0 0
382382 0 0
383383 − 519.463i − 1.35630i −0.734923 0.678151i 0.762782π-0.762782\pi
0.734923 0.678151i 0.237218π-0.237218\pi
384384 0 0
385385 76.3955 0.198430
386386 0 0
387387 0 0
388388 0 0
389389 − 171.077i − 0.439787i −0.975524 0.219893i 0.929429π-0.929429\pi
0.975524 0.219893i 0.0705710π-0.0705710\pi
390390 0 0
391391 −1.42954 −0.00365610
392392 0 0
393393 0 0
394394 0 0
395395 103.048i 0.260882i
396396 0 0
397397 159.942 0.402878 0.201439 0.979501i 0.435438π-0.435438\pi
0.201439 + 0.979501i 0.435438π0.435438\pi
398398 0 0
399399 0 0
400400 0 0
401401 − 655.884i − 1.63562i −0.575487 0.817811i 0.695187π-0.695187\pi
0.575487 0.817811i 0.304813π-0.304813\pi
402402 0 0
403403 −323.127 −0.801803
404404 0 0
405405 0 0
406406 0 0
407407 117.513i 0.288730i
408408 0 0
409409 66.3179 0.162146 0.0810732 0.996708i 0.474165π-0.474165\pi
0.0810732 + 0.996708i 0.474165π0.474165\pi
410410 0 0
411411 0 0
412412 0 0
413413 593.250i 1.43644i
414414 0 0
415415 248.114 0.597864
416416 0 0
417417 0 0
418418 0 0
419419 744.076i 1.77584i 0.460001 + 0.887918i 0.347849π0.347849\pi
−0.460001 + 0.887918i 0.652151π0.652151\pi
420420 0 0
421421 −681.117 −1.61785 −0.808927 0.587909i 0.799951π-0.799951\pi
−0.808927 + 0.587909i 0.799951π0.799951\pi
422422 0 0
423423 0 0
424424 0 0
425425 1.36589i 0.00321386i
426426 0 0
427427 −88.3945 −0.207013
428428 0 0
429429 0 0
430430 0 0
431431 251.031i 0.582439i 0.956656 + 0.291220i 0.0940610π0.0940610\pi
−0.956656 + 0.291220i 0.905939π0.905939\pi
432432 0 0
433433 −87.8113 −0.202797 −0.101399 0.994846i 0.532332π-0.532332\pi
−0.101399 + 0.994846i 0.532332π0.532332\pi
434434 0 0
435435 0 0
436436 0 0
437437 584.455i 1.33743i
438438 0 0
439439 −393.268 −0.895827 −0.447913 0.894077i 0.647833π-0.647833\pi
−0.447913 + 0.894077i 0.647833π0.647833\pi
440440 0 0
441441 0 0
442442 0 0
443443 − 49.6560i − 0.112090i −0.998428 0.0560452i 0.982151π-0.982151\pi
0.998428 0.0560452i 0.0178491π-0.0178491\pi
444444 0 0
445445 246.809 0.554626
446446 0 0
447447 0 0
448448 0 0
449449 − 276.997i − 0.616919i −0.951237 0.308459i 0.900187π-0.900187\pi
0.951237 0.308459i 0.0998134π-0.0998134\pi
450450 0 0
451451 15.5556 0.0344914
452452 0 0
453453 0 0
454454 0 0
455455 291.501i 0.640661i
456456 0 0
457457 −7.13408 −0.0156107 −0.00780534 0.999970i 0.502485π-0.502485\pi
−0.00780534 + 0.999970i 0.502485π0.502485\pi
458458 0 0
459459 0 0
460460 0 0
461461 344.475i 0.747235i 0.927583 + 0.373617i 0.121883π0.121883\pi
−0.927583 + 0.373617i 0.878117π0.878117\pi
462462 0 0
463463 −618.903 −1.33672 −0.668362 0.743836i 0.733004π-0.733004\pi
−0.668362 + 0.743836i 0.733004π0.733004\pi
464464 0 0
465465 0 0
466466 0 0
467467 − 682.172i − 1.46075i −0.683044 0.730377i 0.739344π-0.739344\pi
0.683044 0.730377i 0.260656π-0.260656\pi
468468 0 0
469469 −841.369 −1.79396
470470 0 0
471471 0 0
472472 0 0
473473 − 154.043i − 0.325672i
474474 0 0
475475 558.435 1.17565
476476 0 0
477477 0 0
478478 0 0
479479 − 138.757i − 0.289681i −0.989455 0.144841i 0.953733π-0.953733\pi
0.989455 0.144841i 0.0462670π-0.0462670\pi
480480 0 0
481481 −448.393 −0.932209
482482 0 0
483483 0 0
484484 0 0
485485 98.9087i 0.203935i
486486 0 0
487487 630.925 1.29553 0.647766 0.761839i 0.275703π-0.275703\pi
0.647766 + 0.761839i 0.275703π0.275703\pi
488488 0 0
489489 0 0
490490 0 0
491491 405.911i 0.826703i 0.910572 + 0.413351i 0.135642π0.135642\pi
−0.910572 + 0.413351i 0.864358π0.864358\pi
492492 0 0
493493 2.87101 0.00582356
494494 0 0
495495 0 0
496496 0 0
497497 − 858.642i − 1.72765i
498498 0 0
499499 104.177 0.208772 0.104386 0.994537i 0.466712π-0.466712\pi
0.104386 + 0.994537i 0.466712π0.466712\pi
500500 0 0
501501 0 0
502502 0 0
503503 275.389i 0.547493i 0.961802 + 0.273746i 0.0882629π0.0882629\pi
−0.961802 + 0.273746i 0.911737π0.911737\pi
504504 0 0
505505 −287.063 −0.568441
506506 0 0
507507 0 0
508508 0 0
509509 763.424i 1.49985i 0.661523 + 0.749925i 0.269911π0.269911\pi
−0.661523 + 0.749925i 0.730089π0.730089\pi
510510 0 0
511511 621.798 1.21683
512512 0 0
513513 0 0
514514 0 0
515515 − 33.6372i − 0.0653150i
516516 0 0
517517 −232.619 −0.449940
518518 0 0
519519 0 0
520520 0 0
521521 727.642i 1.39663i 0.715793 + 0.698313i 0.246065π0.246065\pi
−0.715793 + 0.698313i 0.753935π0.753935\pi
522522 0 0
523523 −585.050 −1.11864 −0.559321 0.828951i 0.688938π-0.688938\pi
−0.559321 + 0.828951i 0.688938π0.688938\pi
524524 0 0
525525 0 0
526526 0 0
527527 − 1.07545i − 0.00204071i
528528 0 0
529529 69.2810 0.130966
530530 0 0
531531 0 0
532532 0 0
533533 59.3553i 0.111361i
534534 0 0
535535 −406.053 −0.758978
536536 0 0
537537 0 0
538538 0 0
539539 10.9495i 0.0203145i
540540 0 0
541541 −359.365 −0.664260 −0.332130 0.943234i 0.607767π-0.607767\pi
−0.332130 + 0.943234i 0.607767π0.607767\pi
542542 0 0
543543 0 0
544544 0 0
545545 307.667i 0.564526i
546546 0 0
547547 −97.9640 −0.179093 −0.0895467 0.995983i 0.528542π-0.528542\pi
−0.0895467 + 0.995983i 0.528542π0.528542\pi
548548 0 0
549549 0 0
550550 0 0
551551 − 1173.79i − 2.13029i
552552 0 0
553553 332.228 0.600775
554554 0 0
555555 0 0
556556 0 0
557557 550.731i 0.988745i 0.869250 + 0.494373i 0.164602π0.164602\pi
−0.869250 + 0.494373i 0.835398π0.835398\pi
558558 0 0
559559 587.779 1.05148
560560 0 0
561561 0 0
562562 0 0
563563 536.763i 0.953398i 0.879067 + 0.476699i 0.158167π0.158167\pi
−0.879067 + 0.476699i 0.841833π0.841833\pi
564564 0 0
565565 204.807 0.362491
566566 0 0
567567 0 0
568568 0 0
569569 − 551.945i − 0.970025i −0.874507 0.485013i 0.838815π-0.838815\pi
0.874507 0.485013i 0.161185π-0.161185\pi
570570 0 0
571571 −819.521 −1.43524 −0.717619 0.696436i 0.754768π-0.754768\pi
−0.717619 + 0.696436i 0.754768π0.754768\pi
572572 0 0
573573 0 0
574574 0 0
575575 439.252i 0.763917i
576576 0 0
577577 −828.718 −1.43625 −0.718126 0.695913i 0.755000π-0.755000\pi
−0.718126 + 0.695913i 0.755000π0.755000\pi
578578 0 0
579579 0 0
580580 0 0
581581 − 799.920i − 1.37680i
582582 0 0
583583 67.6964 0.116117
584584 0 0
585585 0 0
586586 0 0
587587 76.6443i 0.130570i 0.997867 + 0.0652848i 0.0207956π0.0207956\pi
−0.997867 + 0.0652848i 0.979204π0.979204\pi
588588 0 0
589589 −439.691 −0.746505
590590 0 0
591591 0 0
592592 0 0
593593 − 943.303i − 1.59073i −0.606130 0.795366i 0.707279π-0.707279\pi
0.606130 0.795366i 0.292721π-0.292721\pi
594594 0 0
595595 −0.970195 −0.00163058
596596 0 0
597597 0 0
598598 0 0
599599 329.462i 0.550021i 0.961441 + 0.275010i 0.0886813π0.0886813\pi
−0.961441 + 0.275010i 0.911319π0.911319\pi
600600 0 0
601601 −762.581 −1.26885 −0.634427 0.772983i 0.718764π-0.718764\pi
−0.634427 + 0.772983i 0.718764π0.718764\pi
602602 0 0
603603 0 0
604604 0 0
605605 198.508i 0.328113i
606606 0 0
607607 −959.375 −1.58052 −0.790259 0.612773i 0.790054π-0.790054\pi
−0.790259 + 0.612773i 0.790054π0.790054\pi
608608 0 0
609609 0 0
610610 0 0
611611 − 887.599i − 1.45270i
612612 0 0
613613 573.016 0.934773 0.467386 0.884053i 0.345196π-0.345196\pi
0.467386 + 0.884053i 0.345196π0.345196\pi
614614 0 0
615615 0 0
616616 0 0
617617 − 112.234i − 0.181903i −0.995855 0.0909515i 0.971009π-0.971009\pi
0.995855 0.0909515i 0.0289908π-0.0289908\pi
618618 0 0
619619 −45.1174 −0.0728876 −0.0364438 0.999336i 0.511603π-0.511603\pi
−0.0364438 + 0.999336i 0.511603π0.511603\pi
620620 0 0
621621 0 0
622622 0 0
623623 − 795.712i − 1.27723i
624624 0 0
625625 306.859 0.490974
626626 0 0
627627 0 0
628628 0 0
629629 − 1.49237i − 0.00237261i
630630 0 0
631631 1118.03 1.77185 0.885923 0.463832i 0.153526π-0.153526\pi
0.885923 + 0.463832i 0.153526π0.153526\pi
632632 0 0
633633 0 0
634634 0 0
635635 − 271.355i − 0.427331i
636636 0 0
637637 −41.7798 −0.0655884
638638 0 0
639639 0 0
640640 0 0
641641 673.551i 1.05078i 0.850861 + 0.525390i 0.176081π0.176081\pi
−0.850861 + 0.525390i 0.823919π0.823919\pi
642642 0 0
643643 570.492 0.887235 0.443617 0.896216i 0.353695π-0.353695\pi
0.443617 + 0.896216i 0.353695π0.353695\pi
644644 0 0
645645 0 0
646646 0 0
647647 − 376.087i − 0.581278i −0.956833 0.290639i 0.906132π-0.906132\pi
0.956833 0.290639i 0.0938678π-0.0938678\pi
648648 0 0
649649 454.719 0.700646
650650 0 0
651651 0 0
652652 0 0
653653 643.420i 0.985330i 0.870219 + 0.492665i 0.163977π0.163977\pi
−0.870219 + 0.492665i 0.836023π0.836023\pi
654654 0 0
655655 69.4515 0.106033
656656 0 0
657657 0 0
658658 0 0
659659 161.681i 0.245342i 0.992447 + 0.122671i 0.0391461π0.0391461\pi
−0.992447 + 0.122671i 0.960854π0.960854\pi
660660 0 0
661661 −717.266 −1.08512 −0.542561 0.840016i 0.682545π-0.682545\pi
−0.542561 + 0.840016i 0.682545π0.682545\pi
662662 0 0
663663 0 0
664664 0 0
665665 396.657i 0.596476i
666666 0 0
667667 923.278 1.38423
668668 0 0
669669 0 0
670670 0 0
671671 67.7532i 0.100974i
672672 0 0
673673 −164.830 −0.244918 −0.122459 0.992474i 0.539078π-0.539078\pi
−0.122459 + 0.992474i 0.539078π0.539078\pi
674674 0 0
675675 0 0
676676 0 0
677677 811.953i 1.19934i 0.800247 + 0.599670i 0.204701π0.204701\pi
−0.800247 + 0.599670i 0.795299π0.795299\pi
678678 0 0
679679 318.882 0.469635
680680 0 0
681681 0 0
682682 0 0
683683 546.230i 0.799751i 0.916569 + 0.399876i 0.130947π0.130947\pi
−0.916569 + 0.399876i 0.869053π0.869053\pi
684684 0 0
685685 391.814 0.571992
686686 0 0
687687 0 0
688688 0 0
689689 258.308i 0.374902i
690690 0 0
691691 23.7822 0.0344171 0.0172085 0.999852i 0.494522π-0.494522\pi
0.0172085 + 0.999852i 0.494522π0.494522\pi
692692 0 0
693693 0 0
694694 0 0
695695 − 507.130i − 0.729683i
696696 0 0
697697 −0.197551 −0.000283430 0
698698 0 0
699699 0 0
700700 0 0
701701 − 959.326i − 1.36851i −0.729242 0.684255i 0.760127π-0.760127\pi
0.729242 0.684255i 0.239873π-0.239873\pi
702702 0 0
703703 −610.146 −0.867917
704704 0 0
705705 0 0
706706 0 0
707707 925.491i 1.30904i
708708 0 0
709709 −436.916 −0.616243 −0.308121 0.951347i 0.599700π-0.599700\pi
−0.308121 + 0.951347i 0.599700π0.599700\pi
710710 0 0
711711 0 0
712712 0 0
713713 − 345.851i − 0.485065i
714714 0 0
715715 223.432 0.312492
716716 0 0
717717 0 0
718718 0 0
719719 643.581i 0.895106i 0.894257 + 0.447553i 0.147704π0.147704\pi
−0.894257 + 0.447553i 0.852296π0.852296\pi
720720 0 0
721721 −108.447 −0.150411
722722 0 0
723723 0 0
724724 0 0
725725 − 882.174i − 1.21679i
726726 0 0
727727 730.998 1.00550 0.502749 0.864432i 0.332322π-0.332322\pi
0.502749 + 0.864432i 0.332322π0.332322\pi
728728 0 0
729729 0 0
730730 0 0
731731 1.95629i 0.00267618i
732732 0 0
733733 −942.809 −1.28623 −0.643117 0.765768i 0.722359π-0.722359\pi
−0.643117 + 0.765768i 0.722359π0.722359\pi
734734 0 0
735735 0 0
736736 0 0
737737 644.899i 0.875033i
738738 0 0
739739 −354.141 −0.479216 −0.239608 0.970870i 0.577019π-0.577019\pi
−0.239608 + 0.970870i 0.577019π0.577019\pi
740740 0 0
741741 0 0
742742 0 0
743743 − 125.849i − 0.169380i −0.996407 0.0846899i 0.973010π-0.973010\pi
0.996407 0.0846899i 0.0269900π-0.0269900\pi
744744 0 0
745745 −545.274 −0.731911
746746 0 0
747747 0 0
748748 0 0
749749 1309.12i 1.74782i
750750 0 0
751751 −551.404 −0.734226 −0.367113 0.930176i 0.619654π-0.619654\pi
−0.367113 + 0.930176i 0.619654π0.619654\pi
752752 0 0
753753 0 0
754754 0 0
755755 − 176.916i − 0.234326i
756756 0 0
757757 −816.186 −1.07818 −0.539092 0.842247i 0.681233π-0.681233\pi
−0.539092 + 0.842247i 0.681233π0.681233\pi
758758 0 0
759759 0 0
760760 0 0
761761 − 943.192i − 1.23941i −0.784834 0.619706i 0.787252π-0.787252\pi
0.784834 0.619706i 0.212748π-0.212748\pi
762762 0 0
763763 991.919 1.30002
764764 0 0
765765 0 0
766766 0 0
767767 1735.06i 2.26214i
768768 0 0
769769 −544.577 −0.708163 −0.354081 0.935215i 0.615206π-0.615206\pi
−0.354081 + 0.935215i 0.615206π0.615206\pi
770770 0 0
771771 0 0
772772 0 0
773773 24.6789i 0.0319262i 0.999873 + 0.0159631i 0.00508143π0.00508143\pi
−0.999873 + 0.0159631i 0.994919π0.994919\pi
774774 0 0
775775 −330.454 −0.426392
776776 0 0
777777 0 0
778778 0 0
779779 80.7671i 0.103681i
780780 0 0
781781 −658.138 −0.842686
782782 0 0
783783 0 0
784784 0 0
785785 338.994i 0.431840i
786786 0 0
787787 716.409 0.910304 0.455152 0.890414i 0.349585π-0.349585\pi
0.455152 + 0.890414i 0.349585π0.349585\pi
788788 0 0
789789 0 0
790790 0 0
791791 − 660.300i − 0.834767i
792792 0 0
793793 −258.525 −0.326008
794794 0 0
795795 0 0
796796 0 0
797797 962.391i 1.20752i 0.797167 + 0.603758i 0.206331π0.206331\pi
−0.797167 + 0.603758i 0.793669π0.793669\pi
798798 0 0
799799 2.95417 0.00369734
800800 0 0
801801 0 0
802802 0 0
803803 − 476.600i − 0.593525i
804804 0 0
805805 −312.001 −0.387579
806806 0 0
807807 0 0
808808 0 0
809809 − 674.254i − 0.833441i −0.909035 0.416721i 0.863179π-0.863179\pi
0.909035 0.416721i 0.136821π-0.136821\pi
810810 0 0
811811 −36.7884 −0.0453618 −0.0226809 0.999743i 0.507220π-0.507220\pi
−0.0226809 + 0.999743i 0.507220π0.507220\pi
812812 0 0
813813 0 0
814814 0 0
815815 39.1207i 0.0480008i
816816 0 0
817817 799.814 0.978964
818818 0 0
819819 0 0
820820 0 0
821821 − 1515.18i − 1.84552i −0.385369 0.922762i 0.625926π-0.625926\pi
0.385369 0.922762i 0.374074π-0.374074\pi
822822 0 0
823823 762.423 0.926395 0.463198 0.886255i 0.346702π-0.346702\pi
0.463198 + 0.886255i 0.346702π0.346702\pi
824824 0 0
825825 0 0
826826 0 0
827827 − 648.915i − 0.784662i −0.919824 0.392331i 0.871669π-0.871669\pi
0.919824 0.392331i 0.128331π-0.128331\pi
828828 0 0
829829 −958.477 −1.15618 −0.578092 0.815971i 0.696203π-0.696203\pi
−0.578092 + 0.815971i 0.696203π0.696203\pi
830830 0 0
831831 0 0
832832 0 0
833833 − 0.139055i 0 0.000166932i
834834 0 0
835835 −429.461 −0.514324
836836 0 0
837837 0 0
838838 0 0
839839 − 287.975i − 0.343236i −0.985164 0.171618i 0.945100π-0.945100\pi
0.985164 0.171618i 0.0548995π-0.0548995\pi
840840 0 0
841841 −1013.27 −1.20484
842842 0 0
843843 0 0
844844 0 0
845845 493.502i 0.584027i
846846 0 0
847847 639.993 0.755599
848848 0 0
849849 0 0
850850 0 0
851851 − 479.927i − 0.563956i
852852 0 0
853853 −666.572 −0.781445 −0.390722 0.920509i 0.627775π-0.627775\pi
−0.390722 + 0.920509i 0.627775π0.627775\pi
854854 0 0
855855 0 0
856856 0 0
857857 − 731.580i − 0.853653i −0.904334 0.426826i 0.859632π-0.859632\pi
0.904334 0.426826i 0.140368π-0.140368\pi
858858 0 0
859859 −776.313 −0.903740 −0.451870 0.892084i 0.649243π-0.649243\pi
−0.451870 + 0.892084i 0.649243π0.649243\pi
860860 0 0
861861 0 0
862862 0 0
863863 925.254i 1.07214i 0.844175 + 0.536068i 0.180091π0.180091\pi
−0.844175 + 0.536068i 0.819909π0.819909\pi
864864 0 0
865865 −214.501 −0.247977
866866 0 0
867867 0 0
868868 0 0
869869 − 254.649i − 0.293037i
870870 0 0
871871 −2460.73 −2.82517
872872 0 0
873873 0 0
874874 0 0
875875 661.900i 0.756457i
876876 0 0
877877 −696.151 −0.793787 −0.396893 0.917865i 0.629912π-0.629912\pi
−0.396893 + 0.917865i 0.629912π0.629912\pi
878878 0 0
879879 0 0
880880 0 0
881881 183.830i 0.208660i 0.994543 + 0.104330i 0.0332699π0.0332699\pi
−0.994543 + 0.104330i 0.966730π0.966730\pi
882882 0 0
883883 −823.282 −0.932369 −0.466184 0.884688i 0.654372π-0.654372\pi
−0.466184 + 0.884688i 0.654372π0.654372\pi
884884 0 0
885885 0 0
886886 0 0
887887 365.372i 0.411919i 0.978561 + 0.205959i 0.0660315π0.0660315\pi
−0.978561 + 0.205959i 0.933969π0.933969\pi
888888 0 0
889889 −874.852 −0.984085
890890 0 0
891891 0 0
892892 0 0
893893 − 1207.79i − 1.35251i
894894 0 0
895895 97.3670 0.108790
896896 0 0
897897 0 0
898898 0 0
899899 694.592i 0.772627i
900900 0 0
901901 −0.859719 −0.000954183 0
902902 0 0
903903 0 0
904904 0 0
905905 118.485i 0.130923i
906906 0 0
907907 −306.404 −0.337822 −0.168911 0.985631i 0.554025π-0.554025\pi
−0.168911 + 0.985631i 0.554025π0.554025\pi
908908 0 0
909909 0 0
910910 0 0
911911 788.139i 0.865136i 0.901601 + 0.432568i 0.142392π0.142392\pi
−0.901601 + 0.432568i 0.857608π0.857608\pi
912912 0 0
913913 −613.128 −0.671554
914914 0 0
915915 0 0
916916 0 0
917917 − 223.912i − 0.244179i
918918 0 0
919919 −1319.46 −1.43575 −0.717876 0.696171i 0.754886π-0.754886\pi
−0.717876 + 0.696171i 0.754886π0.754886\pi
920920 0 0
921921 0 0
922922 0 0
923923 − 2511.24i − 2.72074i
924924 0 0
925925 −458.560 −0.495741
926926 0 0
927927 0 0
928928 0 0
929929 469.930i 0.505845i 0.967487 + 0.252922i 0.0813917π0.0813917\pi
−0.967487 + 0.252922i 0.918608π0.918608\pi
930930 0 0
931931 −56.8515 −0.0610649
932932 0 0
933933 0 0
934934 0 0
935935 0.743642i 0 0.000795339i
936936 0 0
937937 −1619.12 −1.72798 −0.863991 0.503508i 0.832042π-0.832042\pi
−0.863991 + 0.503508i 0.832042π0.832042\pi
938938 0 0
939939 0 0
940940 0 0
941941 − 668.395i − 0.710302i −0.934809 0.355151i 0.884429π-0.884429\pi
0.934809 0.355151i 0.115571π-0.115571\pi
942942 0 0
943943 −63.5296 −0.0673697
944944 0 0
945945 0 0
946946 0 0
947947 − 992.522i − 1.04807i −0.851697 0.524035i 0.824426π-0.824426\pi
0.851697 0.524035i 0.175574π-0.175574\pi
948948 0 0
949949 1818.55 1.91628
950950 0 0
951951 0 0
952952 0 0
953953 − 565.650i − 0.593546i −0.954948 0.296773i 0.904089π-0.904089\pi
0.954948 0.296773i 0.0959105π-0.0959105\pi
954954 0 0
955955 −672.184 −0.703858
956956 0 0
957957 0 0
958958 0 0
959959 − 1263.21i − 1.31722i
960960 0 0
961961 −700.812 −0.729253
962962 0 0
963963 0 0
964964 0 0
965965 797.311i 0.826229i
966966 0 0
967967 1030.39 1.06555 0.532775 0.846257i 0.321149π-0.321149\pi
0.532775 + 0.846257i 0.321149π0.321149\pi
968968 0 0
969969 0 0
970970 0 0
971971 − 454.101i − 0.467663i −0.972277 0.233832i 0.924874π-0.924874\pi
0.972277 0.233832i 0.0751265π-0.0751265\pi
972972 0 0
973973 −1634.99 −1.68036
974974 0 0
975975 0 0
976976 0 0
977977 846.744i 0.866678i 0.901231 + 0.433339i 0.142665π0.142665\pi
−0.901231 + 0.433339i 0.857335π0.857335\pi
978978 0 0
979979 −609.904 −0.622986
980980 0 0
981981 0 0
982982 0 0
983983 1433.24i 1.45803i 0.684499 + 0.729014i 0.260021π0.260021\pi
−0.684499 + 0.729014i 0.739979π0.739979\pi
984984 0 0
985985 99.0797 0.100588
986986 0 0
987987 0 0
988988 0 0
989989 629.115i 0.636113i
990990 0 0
991991 −955.562 −0.964240 −0.482120 0.876105i 0.660133π-0.660133\pi
−0.482120 + 0.876105i 0.660133π0.660133\pi
992992 0 0
993993 0 0
994994 0 0
995995 − 407.992i − 0.410043i
996996 0 0
997997 −589.446 −0.591219 −0.295610 0.955309i 0.595523π-0.595523\pi
−0.295610 + 0.955309i 0.595523π0.595523\pi
998998 0 0
999999 0 0
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 2592.3.e.i.161.10 24
3.2 odd 2 inner 2592.3.e.i.161.9 24
4.3 odd 2 inner 2592.3.e.i.161.16 24
9.2 odd 6 864.3.q.a.449.7 24
9.4 even 3 864.3.q.a.737.7 24
9.5 odd 6 288.3.q.b.65.7 yes 24
9.7 even 3 288.3.q.b.257.7 yes 24
12.11 even 2 inner 2592.3.e.i.161.15 24
36.7 odd 6 288.3.q.b.257.6 yes 24
36.11 even 6 864.3.q.a.449.8 24
36.23 even 6 288.3.q.b.65.6 24
36.31 odd 6 864.3.q.a.737.8 24
72.5 odd 6 576.3.q.l.65.6 24
72.11 even 6 1728.3.q.k.449.6 24
72.13 even 6 1728.3.q.k.1601.5 24
72.29 odd 6 1728.3.q.k.449.5 24
72.43 odd 6 576.3.q.l.257.7 24
72.59 even 6 576.3.q.l.65.7 24
72.61 even 6 576.3.q.l.257.6 24
72.67 odd 6 1728.3.q.k.1601.6 24
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
288.3.q.b.65.6 24 36.23 even 6
288.3.q.b.65.7 yes 24 9.5 odd 6
288.3.q.b.257.6 yes 24 36.7 odd 6
288.3.q.b.257.7 yes 24 9.7 even 3
576.3.q.l.65.6 24 72.5 odd 6
576.3.q.l.65.7 24 72.59 even 6
576.3.q.l.257.6 24 72.61 even 6
576.3.q.l.257.7 24 72.43 odd 6
864.3.q.a.449.7 24 9.2 odd 6
864.3.q.a.449.8 24 36.11 even 6
864.3.q.a.737.7 24 9.4 even 3
864.3.q.a.737.8 24 36.31 odd 6
1728.3.q.k.449.5 24 72.29 odd 6
1728.3.q.k.449.6 24 72.11 even 6
1728.3.q.k.1601.5 24 72.13 even 6
1728.3.q.k.1601.6 24 72.67 odd 6
2592.3.e.i.161.9 24 3.2 odd 2 inner
2592.3.e.i.161.10 24 1.1 even 1 trivial
2592.3.e.i.161.15 24 12.11 even 2 inner
2592.3.e.i.161.16 24 4.3 odd 2 inner