Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(9,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 370.x (of order , degree , 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: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 9.9 | ||
Character | 370.9 | ||
Dual form | 370.2.x.a.329.9 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | |||||
2.61244 | + | 0.460644i | 1.50829 | + | 0.265953i | 0.865821 | − | 0.500354i | ||
0.642474 | + | 0.766307i | ||||||||
0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | |||||
1.38577 | + | 1.75489i | 0.619737 | + | 0.784809i | |||||
−2.65274 | −1.08298 | |||||||||
2.09125 | − | 2.49226i | 0.790419 | − | 0.941984i | −0.208935 | − | 0.977930i | ||
0.999354 | + | 0.0359452i | ||||||||
−0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | |||||
3.79359 | + | 1.38075i | 1.26453 | + | 0.460251i | |||||
−1.66945 | − | 1.48759i | −0.527928 | − | 0.470417i | |||||
0.0622047 | + | 0.107742i | 0.0187554 | + | 0.0324854i | 0.875251 | − | 0.483669i | ||
−0.856495 | + | 0.516155i | ||||||||
2.61244 | − | 0.460644i | 0.754147 | − | 0.132977i | |||||
−2.13136 | − | 5.85586i | −0.591132 | − | 1.62412i | −0.768407 | − | 0.639961i | ||
0.177275 | − | 0.984161i | ||||||||
−1.62670 | + | 2.81754i | −0.434755 | + | 0.753018i | |||||
2.81188 | + | 5.22289i | 0.726024 | + | 1.34854i | |||||
0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | |||||
−1.61191 | + | 4.42868i | −0.390945 | + | 1.07411i | 0.575625 | + | 0.817713i | ||
−0.966571 | + | 0.256400i | ||||||||
−3.97572 | − | 0.701027i | −0.937086 | − | 0.165234i | |||||
−0.307373 | + | 1.74320i | −0.0705162 | + | 0.399917i | 0.929036 | + | 0.369990i | ||
−0.999552 | + | 0.0299275i | ||||||||
1.90241 | + | 1.17509i | 0.425392 | + | 0.262758i | |||||
6.61132 | − | 5.54755i | 1.44271 | − | 1.21058i | |||||
−0.0799689 | − | 0.0953032i | −0.0170494 | − | 0.0203187i | |||||
−7.34121 | − | 4.23845i | −1.53075 | − | 0.883778i | −0.999327 | − | 0.0366706i | ||
−0.531421 | − | 0.847108i | ||||||||
−2.49276 | + | 0.907292i | −0.508833 | + | 0.185200i | |||||
−1.15926 | + | 4.86376i | −0.231851 | + | 0.972751i | |||||
3.11584 | + | 5.39679i | 0.611066 | + | 1.05840i | |||||
2.38247 | + | 1.37552i | 0.458506 | + | 0.264718i | |||||
1.11273 | − | 3.05720i | 0.210286 | − | 0.577757i | |||||
1.23037 | + | 2.13106i | 0.228474 | + | 0.395728i | 0.957356 | − | 0.288911i | ||
−0.728882 | + | 0.684639i | ||||||||
−3.67611 | − | 4.65527i | −0.671162 | − | 0.849931i | |||||
−5.35817 | −0.962356 | −0.481178 | − | 0.876623i | ||||||
−0.481178 | + | 0.876623i | ||||||||
−0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | |||||
0.112876 | + | 0.310124i | 0.0196491 | + | 0.0539856i | |||||
0.818388 | − | 4.64131i | 0.140352 | − | 0.795977i | |||||
7.27163 | + | 0.216203i | 1.22913 | + | 0.0365450i | |||||
4.03705 | 0.672842 | |||||||||
2.12868 | + | 5.69813i | 0.349952 | + | 0.936767i | |||||
− | 1.77009i | − | 0.287146i | |||||||
−2.87058 | − | 16.2799i | −0.459661 | − | 2.60687i | |||||
−2.07756 | − | 0.826889i | −0.328491 | − | 0.130743i | |||||
−3.81283 | + | 1.38776i | −0.595464 | + | 0.216731i | −0.622131 | − | 0.782913i | ||
0.0266671 | + | 0.999644i | ||||||||
−5.54755 | + | 6.61132i | −0.856006 | + | 1.02015i | |||||
− | 2.22479i | − | 0.339277i | −0.985506 | − | 0.169639i | ||||
0.985506 | − | 0.169639i | ||||||||
0.0953032 | + | 0.0799689i | 0.0143675 | + | 0.0120558i | |||||
2.83399 | + | 8.57073i | 0.422467 | + | 1.27765i | |||||
7.96568 | + | 2.89927i | 1.17448 | + | 0.427474i | |||||
8.31733 | + | 4.80201i | 1.21321 | + | 0.700445i | 0.963456 | − | 0.267865i | ||
0.249750 | + | 0.968310i | ||||||||
2.29734 | − | 1.32637i | 0.331593 | − | 0.191445i | |||||
−0.622472 | − | 3.53021i | −0.0889245 | − | 0.504316i | |||||
0.297062 | − | 4.99117i | 0.0420109 | − | 0.705858i | |||||
−6.25107 | + | 10.8272i | −0.875324 | + | 1.51611i | |||||
−4.00564 | − | 4.77374i | −0.555483 | − | 0.661998i | |||||
4.66659 | + | 5.56142i | 0.641005 | + | 0.763920i | 0.984529 | − | 0.175224i | ||
−0.343524 | + | 0.939144i | ||||||||
−2.58513 | − | 0.940909i | −0.351791 | − | 0.128042i | |||||
−0.102873 | + | 0.258468i | −0.0138714 | + | 0.0348518i | |||||
−0.564949 | + | 3.20398i | −0.0754944 | + | 0.428150i | |||||
−1.60599 | + | 4.41242i | −0.212718 | + | 0.584439i | |||||
−1.58173 | − | 1.88504i | −0.207692 | − | 0.247517i | |||||
5.60374 | − | 4.70210i | 0.729545 | − | 0.612161i | −0.200462 | − | 0.979701i | ||
0.930008 | + | 0.367540i | ||||||||
4.42864 | + | 3.94619i | 0.571735 | + | 0.509451i | |||||
0.127159 | − | 0.0462822i | 0.0162811 | − | 0.00592583i | −0.333867 | − | 0.942620i | ||
0.350148 | + | 0.936694i | ||||||||
5.27677 | − | 0.930436i | 0.670150 | − | 0.118166i | |||||
11.3745 | − | 6.56709i | 1.43306 | − | 0.827376i | |||||
0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | |||||
7.32278 | − | 11.8552i | 0.908280 | − | 1.47046i | |||||
−0.165013 | − | 0.285811i | −0.0203117 | − | 0.0351810i | |||||
−6.98181 | + | 8.32060i | −0.852964 | + | 1.01652i | 0.146662 | + | 0.989187i | ||
−0.999626 | + | 0.0273364i | ||||||||
4.71291i | 0.571524i | |||||||||
−17.2261 | − | 14.4544i | −2.07378 | − | 1.74011i | |||||
−7.19870 | + | 1.04979i | −0.860409 | + | 0.125474i | |||||
1.01311 | − | 5.74563i | 0.120234 | − | 0.681881i | −0.863791 | − | 0.503851i | ||
0.984025 | − | 0.178031i | ||||||||
−3.97572 | + | 0.701027i | −0.468543 | + | 0.0826168i | |||||
− | 9.15252i | − | 1.07122i | −0.844465 | − | 0.535611i | ||||
0.844465 | − | 0.535611i | ||||||||
−3.08581 | − | 5.24193i | −0.358718 | − | 0.609361i | |||||
−5.26895 | + | 12.1723i | −0.608406 | + | 1.40553i | |||||
0.307373 | + | 1.74320i | 0.0352581 | + | 0.199959i | |||||
0.398606 | + | 0.0702850i | 0.0454254 | + | 0.00800972i | |||||
5.65395 | + | 15.5341i | 0.640183 | + | 1.75889i | |||||
0.898957 | + | 0.754314i | 0.101141 | + | 0.0848670i | 0.691956 | − | 0.721940i | ||
−0.590815 | + | 0.806807i | ||||||||
2.18958 | + | 0.453562i | 0.244803 | + | 0.0507098i | |||||
−3.68725 | − | 3.09397i | −0.409695 | − | 0.343775i | |||||
3.51392 | − | 2.02876i | 0.388048 | − | 0.224039i | |||||
−1.33054 | + | 3.65563i | −0.146046 | + | 0.401257i | −0.991048 | − | 0.133505i | ||
0.845002 | + | 0.534763i | ||||||||
4.31523 | − | 7.47420i | 0.470830 | − | 0.815502i | |||||
−10.0056 | + | 3.30844i | −1.08526 | + | 0.358851i | |||||
0.386330 | + | 2.19099i | 0.0416591 | + | 0.236260i | |||||
2.23261 | + | 6.13404i | 0.239361 | + | 0.657638i | |||||
−0.107742 | − | 0.0622047i | −0.0114853 | − | 0.00663105i | |||||
−11.3243 | + | 9.50225i | −1.20038 | + | 1.00724i | −0.200759 | + | 0.979641i | ||
−0.999619 | + | 0.0275959i | ||||||||
−4.27923 | − | 7.94840i | −0.451071 | − | 0.837835i | |||||
−19.0515 | − | 6.93418i | −1.99714 | − | 0.726899i | |||||
−8.34812 | − | 1.47200i | −0.870352 | − | 0.153466i | |||||
−13.9979 | − | 2.46821i | −1.45152 | − | 0.255941i | |||||
−9.02483 | − | 3.28477i | −0.930840 | − | 0.338798i | |||||
−3.48507 | + | 1.87628i | −0.357560 | + | 0.192502i | |||||
−2.03212 | + | 1.70515i | −0.207402 | + | 0.174031i | |||||
−1.40174 | − | 0.809293i | −0.142325 | − | 0.0821712i | 0.427147 | − | 0.904182i | ||
−0.569471 | + | 0.822011i | ||||||||
1.22603 | + | 3.36849i | 0.123848 | + | 0.340269i | |||||
0.0872144 | + | 0.494617i | 0.00876538 | + | 0.0497109i | |||||
0.574159 | + | 4.96692i | 0.0574159 | + | 0.496692i | |||||
3.80356 | − | 6.58797i | 0.378469 | − | 0.655527i | −0.612371 | − | 0.790571i | ||
0.990840 | + | 0.135044i | ||||||||
4.27598 | − | 11.7482i | 0.423385 | − | 1.16324i | |||||
0.748500 | − | 0.432146i | 0.0737519 | − | 0.0425807i | −0.462671 | − | 0.886530i | ||
0.536422 | + | 0.843950i | ||||||||
4.77374 | + | 4.00564i | 0.468104 | + | 0.392786i | |||||
18.8971 | + | 3.91445i | 1.84417 | + | 0.382012i | |||||
−5.56142 | − | 4.66659i | −0.540173 | − | 0.453259i | |||||
−7.01548 | − | 19.2749i | −0.678212 | − | 1.86337i | −0.461511 | − | 0.887135i | ||
−0.216701 | − | 0.976238i | ||||||||
2.70924 | + | 0.477712i | 0.260697 | + | 0.0459679i | |||||
−2.66608 | − | 15.1201i | −0.255364 | − | 1.44824i | −0.795137 | − | 0.606429i | ||
0.539774 | − | 0.841810i | ||||||||
0.0564275 | − | 0.272405i | 0.00538015 | − | 0.0259728i | |||||
2.93624 | + | 15.8666i | 0.278695 | + | 1.50599i | |||||
− | 3.25341i | − | 0.307418i | |||||||
−6.37898 | + | 1.12479i | −0.600084 | + | 0.105811i | −0.465435 | − | 0.885082i | ||
−0.134650 | + | 0.990893i | ||||||||
0.815382 | − | 4.62426i | 0.0763675 | − | 0.433102i | |||||
−2.73527 | − | 18.7565i | −0.255065 | − | 1.74906i | |||||
1.88504 | + | 1.58173i | 0.175021 | + | 0.146860i | |||||
− | 25.1576i | − | 2.32582i | |||||||
−4.70210 | + | 5.60374i | −0.432863 | + | 0.515866i | |||||
7.66651 | + | 13.2788i | 0.702787 | + | 1.21726i | |||||
−5.04660 | − | 3.11722i | −0.460690 | − | 0.284562i | |||||
5.49226 | − | 9.51288i | 0.499296 | − | 0.864807i | |||||
−0.117191 | + | 0.0676601i | −0.0106099 | + | 0.00612566i | |||||
−10.6001 | + | 1.86908i | −0.955775 | + | 0.168529i | |||||
−5.03503 | + | 1.83260i | −0.452159 | + | 0.164573i | |||||
−10.1418 | + | 4.70571i | −0.907111 | + | 0.420891i | |||||
−10.0614 | + | 8.44249i | −0.896338 | + | 0.752117i | |||||
7.60677 | + | 9.06540i | 0.674992 | + | 0.804424i | 0.989454 | − | 0.144846i | ||
−0.314462 | + | 0.949270i | ||||||||
−0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | |||||
1.02484 | − | 5.81213i | 0.0902318 | − | 0.511730i | |||||
−5.15290 | + | 12.9467i | −0.451939 | + | 1.13550i | |||||
18.7130 | + | 6.81096i | 1.63496 | + | 0.595077i | 0.986147 | − | 0.165872i | ||
0.648812 | + | 0.760948i | ||||||||
0.212137 | + | 0.252815i | 0.0184642 | + | 0.0220047i | |||||
3.70170 | + | 4.41152i | 0.320978 | + | 0.382527i | |||||
5.43089 | − | 9.40657i | 0.469157 | − | 0.812604i | |||||
0.887684 | + | 6.08712i | 0.0763997 | + | 0.523895i | |||||
−0.818388 | − | 4.64131i | −0.0701762 | − | 0.397989i | |||||
−9.87870 | + | 5.70347i | −0.843995 | + | 0.487281i | −0.858620 | − | 0.512613i | ||
0.0146254 | + | 0.999893i | ||||||||
19.4744 | + | 11.2435i | 1.65777 | + | 0.957113i | |||||
7.95448 | + | 2.89519i | 0.674690 | + | 0.245567i | 0.656566 | − | 0.754269i | ||
0.0181240 | + | 0.999836i | ||||||||
6.90704 | − | 2.28388i | 0.583752 | − | 0.193023i | |||||
19.5165 | + | 16.3763i | 1.64359 | + | 1.37913i | |||||
5.83427i | 0.489601i | |||||||||
0.498340 | − | 0.593898i | 0.0416733 | − | 0.0496643i | |||||
3.79359 | − | 1.38075i | 0.316132 | − | 0.115063i | |||||
−2.03476 | + | 5.11233i | −0.168978 | + | 0.424556i | |||||
1.58932 | + | 9.01347i | 0.131533 | + | 0.745960i | |||||
− | 9.50922i | − | 0.784307i | |||||||
3.94918 | + | 4.62644i | 0.324621 | + | 0.380291i | |||||
6.02167 | 0.493314 | 0.246657 | − | 0.969103i | ||||||
0.246657 | + | 0.969103i | ||||||||
3.07521 | − | 12.9023i | 0.251090 | − | 1.05347i | |||||
3.37427 | − | 19.1364i | 0.274594 | − | 1.55730i | −0.465654 | − | 0.884967i | ||
0.740248 | − | 0.672334i | ||||||||
−0.605406 | − | 1.66334i | −0.0491049 | − | 0.134915i | |||||
−12.2298 | + | 14.5750i | −0.988724 | + | 1.17831i | |||||
−0.404755 | −0.0326161 | |||||||||
−7.42522 | − | 9.40298i | −0.596408 | − | 0.755266i | |||||
−8.26552 | − | 14.3163i | −0.661771 | − | 1.14622i | |||||
−1.64797 | + | 4.52776i | −0.131522 | + | 0.361355i | −0.987921 | − | 0.154961i | ||
0.856398 | + | 0.516316i | ||||||||
−1.01628 | − | 0.586752i | −0.0808513 | − | 0.0466795i | |||||
9.62935 | + | 16.6785i | 0.763657 | + | 1.32269i | |||||
−2.23508 | − | 0.0664544i | −0.176699 | − | 0.00525368i | |||||
−25.9156 | + | 9.43252i | −2.04244 | + | 0.743386i | |||||
4.16850 | + | 2.40668i | 0.327508 | + | 0.189087i | |||||
9.49111 | + | 11.3111i | 0.743401 | + | 0.885951i | 0.996678 | − | 0.0814431i | ||
−0.253277 | + | 0.967394i | ||||||||
−3.10825 | + | 2.60813i | −0.242713 | + | 0.203661i | |||||
−0.387811 | + | 0.627846i | −0.0301911 | + | 0.0488777i | |||||
0.675533 | − | 3.83114i | 0.0524315 | − | 0.297354i | |||||
13.0721 | + | 2.30496i | 1.01155 | + | 0.178363i | 0.654771 | − | 0.755828i | ||
0.356775 | + | 0.934190i | ||||||||
−2.95179 | + | 8.10998i | −0.227736 | + | 0.625699i | |||||
−19.7898 | + | 16.6056i | −1.52229 | + | 1.27735i | |||||
9.27907 | − | 4.99563i | 0.711672 | − | 0.383147i | |||||
−3.57297 | + | 6.18857i | −0.273232 | + | 0.473252i | |||||
−0.760923 | − | 2.09062i | −0.0580198 | − | 0.159408i | |||||
2.57744 | − | 0.454472i | 0.195959 | − | 0.0345529i | −0.0748071 | − | 0.997198i | ||
0.270766 | + | 0.962645i | ||||||||
−3.26386 | − | 5.65316i | −0.247432 | − | 0.428565i | |||||
9.69743 | + | 13.0605i | 0.733057 | + | 0.987281i | |||||
0.116907 | + | 0.0425506i | 0.00881217 | + | 0.00320737i | |||||
16.8055 | − | 9.70263i | 1.26318 | − | 0.729295i | |||||
9.50225 | − | 11.3243i | 0.712224 | − | 0.848795i | |||||
−0.806271 | −0.0602635 | −0.0301318 | − | 0.999546i | ||||||
−0.0301318 | + | 0.999546i | ||||||||
5.59445 | + | 7.08457i | 0.416985 | + | 0.528053i | |||||
7.10400 | − | 2.58564i | 0.528036 | − | 0.192189i | −0.0642251 | − | 0.997935i | ||
0.592261 | + | 0.805746i | ||||||||
19.9662 | + | 3.52057i | 1.47999 | + | 0.260962i | |||||
0.353516 | − | 0.0623344i | 0.0261327 | − | 0.00460789i | |||||
8.47690 | 0.624926 | |||||||||
−7.04971 | + | 11.6319i | −0.518305 | + | 0.855196i | |||||
14.2139 | 1.04221 | |||||||||
−0.577423 | + | 0.101815i | −0.0422253 | + | 0.00744546i | |||||
9.45811 | + | 1.66772i | 0.689804 | + | 0.121631i | |||||
8.41048 | − | 3.06116i | 0.611772 | − | 0.222667i | |||||
3.10631 | − | 2.45295i | 0.225355 | − | 0.177955i | |||||
27.3426 | 1.97844 | 0.989221 | − | 0.146428i | ||||||
0.989221 | + | 0.146428i | ||||||||
1.70515 | − | 2.03212i | 0.123059 | − | 0.146656i | |||||
11.7272 | − | 6.77071i | 0.844143 | − | 0.487366i | −0.0145271 | − | 0.999894i | ||
0.858670 | + | 0.512528i | ||||||||
1.52097 | + | 0.553589i | 0.109199 | + | 0.0397454i | |||||
24.5914 | − | 27.5978i | 1.76103 | − | 1.97632i | |||||
−1.79234 | − | 3.10442i | −0.128024 | − | 0.221744i | |||||
−25.3327 | + | 4.46683i | −1.80488 | + | 0.318249i | −0.971959 | − | 0.235149i | ||
−0.832918 | + | 0.553397i | ||||||||
−0.171779 | − | 0.471958i | −0.0122078 | − | 0.0335406i | |||||
4.88903 | − | 8.46804i | 0.346574 | − | 0.600284i | −0.639065 | − | 0.769153i | ||
0.985638 | + | 0.168870i | ||||||||
−1.42793 | − | 4.79176i | −0.100970 | − | 0.338829i | |||||
−22.0724 | + | 18.5210i | −1.55687 | + | 1.30637i | |||||
−2.60179 | + | 7.14836i | −0.183061 | + | 0.502957i | |||||
7.88417 | + | 1.39019i | 0.553360 | + | 0.0975723i | |||||
−2.17097 | + | 12.3122i | −0.151999 | + | 0.862026i | |||||
−7.71908 | − | 4.76797i | −0.539124 | − | 0.333009i | |||||
−0.662087 | + | 0.555557i | −0.0461298 | + | 0.0387075i | |||||
−21.9973 | − | 26.2153i | −1.52892 | − | 1.82209i | |||||
−5.39679 | − | 3.11584i | −0.374200 | − | 0.216044i | |||||
−0.206935 | + | 0.0753183i | −0.0143140 | + | 0.00520988i | |||||
−19.2898 | − | 0.573532i | −1.33112 | − | 0.0395775i | |||||
−1.59289 | − | 2.75897i | −0.109659 | − | 0.189936i | 0.805973 | − | 0.591952i | ||
−0.915632 | + | 0.402017i | ||||||||
6.28727 | + | 3.62996i | 0.431812 | + | 0.249307i | |||||
5.29339 | − | 14.5435i | 0.362697 | − | 0.996502i | |||||
10.2559 | + | 17.7638i | 0.701082 | + | 1.21431i | |||||
3.90425 | − | 3.08306i | 0.266268 | − | 0.210263i | |||||
−2.75103 | −0.187184 | |||||||||
−11.2053 | + | 13.3539i | −0.760664 | + | 0.906524i | |||||
5.25114 | + | 14.4274i | 0.355652 | + | 0.977147i | |||||
4.21606 | − | 23.9104i | 0.284895 | − | 1.61572i | |||||
−0.00826755 | + | 0.278065i | −0.000557398 | + | 0.0187472i | |||||
29.3693 | 1.97559 | |||||||||
−5.64684 | − | 15.1157i | −0.378991 | − | 1.01450i | |||||
− | 5.96950i | − | 0.399747i | −0.979822 | − | 0.199874i | ||||
0.979822 | − | 0.199874i | ||||||||
0.564949 | + | 3.20398i | 0.0377472 | + | 0.214075i | |||||
−11.1134 | + | 16.8504i | −0.740892 | + | 1.12336i | |||||
6.08675 | − | 2.21540i | 0.404885 | − | 0.147366i | |||||
9.03348 | − | 10.7657i | 0.599573 | − | 0.714543i | −0.377842 | − | 0.925870i | ||
0.977416 | + | 0.211327i | ||||||||
4.69560i | 0.310973i | |||||||||
−13.4234 | − | 11.2635i | −0.887042 | − | 0.744316i | 0.0805729 | − | 0.996749i | ||
−0.967615 | + | 0.252432i | ||||||||
5.95075 | + | 17.9966i | 0.392381 | + | 1.18666i | |||||
1.00896 | + | 0.367231i | 0.0663846 | + | 0.0241620i | |||||
−2.13106 | − | 1.23037i | −0.139911 | − | 0.0807777i | |||||
8.01457 | − | 4.62722i | 0.525052 | − | 0.303139i | −0.213947 | − | 0.976845i | ||
0.738999 | + | 0.673706i | ||||||||
4.36857 | + | 24.7754i | 0.285582 | + | 1.61962i | |||||
3.09896 | + | 21.2505i | 0.202154 | + | 1.38623i | |||||
3.65758 | − | 6.33512i | 0.238088 | − | 0.412381i | |||||
2.00100 | + | 2.38470i | 0.129979 | + | 0.154903i | |||||
−9.85587 | − | 11.7458i | −0.638861 | − | 0.761365i | |||||
2.11096 | + | 0.768325i | 0.136546 | + | 0.0496988i | 0.409389 | − | 0.912360i | ||
−0.272843 | + | 0.962059i | ||||||||
5.51123 | + | 2.19353i | 0.355749 | + | 0.141591i | |||||
−3.16438 | + | 17.9461i | −0.203836 | + | 1.15601i | 0.695425 | + | 0.718598i | ||
−0.899261 | + | 0.437412i | ||||||||
−3.75693 | + | 10.3221i | −0.241504 | + | 0.663528i | |||||
−13.5125 | − | 16.1036i | −0.866828 | − | 1.03305i | |||||
0.103661 | − | 0.0869821i | 0.00663623 | − | 0.00556846i | |||||
5.33252 | − | 5.98445i | 0.340682 | − | 0.382332i | |||||
10.1145 | − | 3.68136i | 0.644874 | − | 0.234715i | |||||
10.8630 | − | 1.91545i | 0.691199 | − | 0.121877i | |||||
4.64031 | − | 2.67908i | 0.294660 | − | 0.170122i | |||||
−5.15990 | + | 8.93722i | −0.326996 | + | 0.566373i | |||||
9.17060 | − | 6.39533i | 0.579999 | − | 0.404476i | |||||
−7.01443 | − | 12.1494i | −0.442747 | − | 0.766860i | 0.555145 | − | 0.831753i | ||
−0.997892 | + | 0.0648932i | ||||||||
8.44249 | − | 10.0614i | 0.531827 | − | 0.633807i | |||||
− | 1.05461i | − | 0.0663026i | |||||||
−9.06540 | − | 7.60677i | −0.568814 | − | 0.477291i | |||||
−27.6630 | + | 4.03410i | −1.73233 | + | 0.252625i | |||||
0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | |||||
21.0952 | − | 3.71965i | 1.31588 | − | 0.232025i | 0.528732 | − | 0.848789i | ||
0.787148 | + | 0.616764i | ||||||||
5.90180i | 0.367430i | |||||||||
18.6528 | + | 6.61102i | 1.15903 | + | 0.410789i | |||||
2.82645 | − | 13.6448i | 0.175289 | − | 0.846213i | |||||
1.72504 | + | 9.78321i | 0.106778 | + | 0.605566i | |||||
−19.6114 | − | 3.45802i | −1.21160 | − | 0.213637i | |||||
4.34907 | + | 11.9490i | 0.268175 | + | 0.736804i | 0.998554 | + | 0.0537622i | ||
−0.730379 | + | 0.683042i | ||||||||
−0.252815 | − | 0.212137i | −0.0155597 | − | 0.0130561i | |||||
−3.29283 | + | 15.8962i | −0.202277 | + | 0.976496i | |||||
−4.41152 | − | 3.70170i | −0.270487 | − | 0.226966i | |||||
−33.9614 | + | 19.6076i | −2.07840 | + | 1.19997i | |||||
−3.71494 | + | 10.2067i | −0.226926 | + | 0.623475i | |||||
5.81907 | − | 10.0789i | 0.354795 | − | 0.614522i | −0.632288 | − | 0.774733i | ||
0.987083 | + | 0.160211i | ||||||||
−1.93121 | − | 5.84049i | −0.117530 | − | 0.355441i | |||||
−2.78689 | − | 15.8052i | −0.169292 | − | 0.960100i | −0.944528 | − | 0.328430i | ||
0.775237 | − | 0.631671i | ||||||||
1.61191 | + | 4.42868i | 0.0977363 | + | 0.268528i | |||||
−46.5768 | − | 26.8911i | −2.81895 | − | 1.62752i | |||||
8.73823 | − | 7.33224i | 0.527896 | − | 0.442957i | |||||
−0.596141 | + | 0.177648i | −0.0359487 | + | 0.0107126i | |||||
−21.1309 | − | 7.69103i | −1.27193 | − | 0.462945i | |||||
15.0833 | + | 2.65958i | 0.906265 | + | 0.159799i | 0.607307 | − | 0.794467i | ||
0.298958 | + | 0.954266i | ||||||||
−8.33637 | − | 1.46993i | −0.499983 | − | 0.0881604i | |||||
−20.3267 | − | 7.39831i | −1.21693 | − | 0.442925i | |||||
−6.40552 | + | 3.44858i | −0.382803 | + | 0.206092i | |||||
−12.5602 | + | 10.5392i | −0.749278 | + | 0.628719i | −0.935312 | − | 0.353824i | ||
0.186034 | + | 0.982543i | ||||||||
−22.0637 | − | 12.7385i | −1.31388 | − | 0.758567i | |||||
−0.762634 | − | 2.09532i | −0.0453339 | − | 0.124554i | 0.914960 | − | 0.403545i | ||
−0.960294 | + | 0.278991i | ||||||||
−1.01311 | − | 5.74563i | −0.0601170 | − | 0.340941i | |||||
−9.96883 | + | 3.29629i | −0.590503 | + | 0.195255i | |||||
−0.387640 | + | 0.671412i | −0.0229216 | + | 0.0397014i | |||||
−4.51494 | + | 12.4047i | −0.266508 | + | 0.732226i | |||||
−3.49619 | + | 2.01853i | −0.206015 | + | 0.118943i | |||||
−3.99223 | − | 3.34988i | −0.234837 | − | 0.197052i | |||||
1.11610 | − | 5.38800i | 0.0655396 | − | 0.316394i | |||||
−3.28916 | − | 2.75993i | −0.192814 | − | 0.161790i | |||||
−3.13035 | − | 8.60056i | −0.183190 | − | 0.503309i | |||||
−30.5728 | − | 5.39081i | −1.78608 | − | 0.314935i | −0.819845 | − | 0.572586i | ||
−0.966238 | + | 0.257652i | ||||||||
1.65126 | + | 9.36475i | 0.0963034 | + | 0.546163i | |||||
16.0172 | + | 3.31788i | 0.932556 | + | 0.193175i | |||||
−4.69256 | − | 3.87039i | −0.272749 | − | 0.224962i | |||||
0.342255i | 0.0198596i | |||||||||
−5.93018 | + | 1.04565i | −0.343526 | + | 0.0605730i | |||||
−9.17302 | + | 52.0228i | −0.530489 | + | 3.00855i | |||||
−0.788029 | + | 13.2403i | −0.0454969 | + | 0.764429i | |||||
−5.54474 | − | 4.65259i | −0.319594 | − | 0.268171i | |||||
19.4316i | 1.11817i | |||||||||
12.9713 | − | 15.4586i | 0.745182 | − | 0.888073i | |||||
0.885045 | + | 1.53294i | 0.0507608 | + | 0.0879203i | |||||
0.257434 | + | 0.159014i | 0.0147406 | + | 0.00910509i | |||||
9.51312 | − | 16.4772i | 0.543829 | − | 0.941940i | |||||
−16.2296 | + | 9.37014i | −0.926270 | + | 0.534782i | −0.885630 | − | 0.464392i | ||
−0.0406400 | + | 0.999174i | ||||||||
0.398606 | − | 0.0702850i | 0.0227127 | − | 0.00400486i | |||||
2.15448 | − | 0.784166i | 0.122564 | − | 0.0446096i | |||||
8.94522 | + | 7.97075i | 0.508054 | + | 0.452708i | |||||
−25.3178 | + | 21.2441i | −1.43564 | + | 1.20464i | −0.493357 | + | 0.869827i | ||
−0.942283 | + | 0.334818i | ||||||||
10.6259 | + | 12.6635i | 0.601576 | + | 0.716930i | |||||
7.88099 | − | 21.6528i | 0.445460 | − | 1.22389i | −0.490393 | − | 0.871501i | ||
0.935853 | − | 0.352390i | ||||||||
0.836697 | − | 4.74515i | 0.0472176 | − | 0.267784i | |||||
27.2871 | + | 10.8605i | 1.53745 | + | 0.611921i | |||||
1.10273 | + | 0.401362i | 0.0620336 | + | 0.0225784i | |||||
9.65872 | + | 11.5108i | 0.542488 | + | 0.646512i | 0.965744 | − | 0.259498i | ||
−0.423256 | + | 0.906010i | ||||||||
−12.3793 | − | 14.7530i | −0.694194 | − | 0.827309i | |||||
−0.153070 | + | 0.265124i | −0.00857026 | + | 0.0148441i | |||||
2.21266 | − | 0.322673i | 0.123692 | − | 0.0180380i | |||||
−9.44869 | − | 53.5862i | −0.527374 | − | 2.99089i | |||||
23.8840 | − | 13.7894i | 1.33100 | − | 0.768454i | |||||
−7.22462 | − | 4.17113i | −0.401988 | − | 0.232088i | |||||
−4.52308 | − | 1.64627i | −0.251282 | − | 0.0914593i | |||||
30.9523 | − | 3.57797i | 1.71692 | − | 0.198470i | |||||
−11.3111 | − | 9.49111i | −0.626462 | − | 0.525664i | |||||
− | 40.7284i | − | 2.25229i | |||||||
2.60813 | − | 3.10825i | 0.144010 | − | 0.171624i | |||||
29.3615 | − | 10.6867i | 1.61875 | − | 0.589177i | |||||
0.272895 | − | 0.685650i | 0.0150224 | − | 0.0377438i | |||||
0.997568 | + | 5.65749i | 0.0548313 | + | 0.310964i | 0.999872 | − | 0.0159885i | ||
−0.945041 | + | 0.326952i | ||||||||
3.89024i | 0.213505i | |||||||||
0.207610 | + | 24.5556i | 0.0113770 | + | 1.34564i | |||||
−13.2737 | −0.726305 | |||||||||
−24.2769 | − | 0.721812i | −1.32639 | − | 0.0394368i | |||||
1.49866 | − | 8.49935i | 0.0817588 | − | 0.463677i | |||||
10.5449 | + | 28.9719i | 0.574417 | + | 1.57820i | 0.797449 | + | 0.603387i | ||
−0.223032 | + | 0.974811i | ||||||||
16.6056 | − | 19.7898i | 0.903226 | − | 1.07642i | |||||
−17.1829 | −0.933245 | |||||||||
−8.27062 | + | 6.53103i | −0.448537 | + | 0.354195i | |||||
−0.333304 | − | 0.577299i | −0.0180494 | − | 0.0312625i | |||||
2.44406 | − | 6.71499i | 0.132159 | − | 0.363105i | |||||
9.62281 | + | 5.55573i | 0.519583 | + | 0.299981i | |||||
1.11239 | + | 1.92672i | 0.0599763 | + | 0.103882i | |||||
1.49436 | − | 50.2604i | 0.0804538 | − | 2.70593i | |||||
−2.45936 | + | 0.895135i | −0.132216 | + | 0.0481227i | |||||
1.49886 | + | 0.865365i | 0.0804628 | + | 0.0464552i | 0.539692 | − | 0.841863i | ||
−0.459229 | + | 0.888318i | ||||||||
4.19593 | + | 5.00052i | 0.224926 | + | 0.268056i | |||||
1.92593 | − | 1.61604i | 0.103092 | − | 0.0865048i | −0.589785 | − | 0.807561i | ||
0.692877 | + | 0.721056i | ||||||||
−11.8180 | − | 11.1781i | −0.631701 | − | 0.597497i | |||||
2.97695 | − | 16.8831i | 0.158898 | − | 0.901153i | |||||
−0.122519 | − | 0.0216035i | −0.00653031 | − | 0.00115147i | |||||
−5.99902 | + | 16.4822i | −0.319296 | + | 0.877258i | 0.671392 | + | 0.741103i | ||
−0.990688 | + | 0.136155i | ||||||||
−14.8653 | + | 12.4735i | −0.790082 | + | 0.662957i | |||||
11.4869 | − | 6.18426i | 0.609660 | − | 0.328227i | |||||
−7.39144 | + | 12.8023i | −0.391745 | + | 0.678523i | |||||
13.9115 | + | 38.2216i | 0.736276 | + | 2.02290i | |||||
0.794022 | − | 0.140007i | 0.0419654 | − | 0.00739962i | |||||
−2.81046 | − | 4.86786i | −0.148330 | − | 0.256916i | 0.782280 | − | 0.622927i | ||
−0.930611 | + | 0.366011i | ||||||||
−6.73968 | − | 6.00547i | −0.355212 | − | 0.316516i | |||||
14.9099 | + | 5.42676i | 0.784731 | + | 0.285619i | |||||
−6.54708 | + | 3.77996i | −0.344107 | + | 0.198670i | |||||
18.7303 | − | 22.3219i | 0.983084 | − | 1.17159i | |||||
−20.2742 | −1.06266 | |||||||||
16.0616 | − | 12.6833i | 0.840705 | − | 0.663876i | |||||
−0.337321 | + | 0.122775i | −0.0176321 | + | 0.00641755i | |||||
26.7060 | + | 4.70899i | 1.39404 | + | 0.245807i | 0.819693 | − | 0.572804i | ||
0.574349 | + | 0.818611i | ||||||||
−8.34812 | + | 1.47200i | −0.435176 | + | 0.0767332i | |||||
−16.3805 | −0.852732 | |||||||||
4.92275 | − | 12.6794i | 0.255922 | − | 0.659169i | |||||
23.6195 | 1.22626 | |||||||||
−13.9979 | + | 2.46821i | −0.725758 | + | 0.127971i | |||||
−29.1022 | − | 5.13150i | −1.50685 | − | 0.265699i | −0.641602 | − | 0.767037i | ||
−0.865251 | + | 0.501338i | ||||||||
0.550970 | − | 0.200537i | 0.0284900 | − | 0.0103695i | |||||
−28.6626 | + | 7.62163i | −1.48013 | + | 0.393579i | |||||
−9.60402 | −0.495289 | |||||||||
9.85684 | − | 11.7469i | 0.507653 | − | 0.604997i | |||||
−7.75114 | + | 4.47512i | −0.398675 | + | 0.230175i | |||||
22.0060 | + | 8.00953i | 1.13037 | + | 0.411422i | 0.838427 | − | 0.545013i | ||
0.291945 | + | 0.956435i | ||||||||
−2.63317 | + | 2.95509i | −0.135079 | + | 0.151593i | |||||
15.6963 | + | 27.1868i | 0.804147 | + | 1.39282i | |||||
−26.9272 | + | 4.74800i | −1.37772 | + | 0.242929i | |||||
−0.0827565 | − | 0.227371i | −0.00422866 | − | 0.0116181i | 0.937560 | − | 0.347823i | ||
−0.941789 | + | 0.336205i | ||||||||
−1.32637 | + | 2.29734i | −0.0676861 | + | 0.117236i | |||||
0.429036 | + | 0.796907i | 0.0218657 | + | 0.0406142i | |||||
−10.3733 | + | 8.70426i | −0.527989 | + | 0.443035i | |||||
3.07188 | − | 8.43993i | 0.156153 | − | 0.429026i | |||||
−1.59400 | − | 0.281064i | −0.0809229 | − | 0.0142689i | |||||
−0.294635 | + | 1.67096i | −0.0149386 | + | 0.0847208i | −0.991366 | − | 0.131127i | ||
0.976427 | + | 0.215848i | ||||||||
−19.4255 | + | 31.4488i | −0.983647 | + | 1.59247i | |||||
30.6041 | − | 25.6799i | 1.54772 | − | 1.29869i | |||||
2.30418 | + | 2.74602i | 0.116379 | + | 0.138695i | |||||
45.7491 | + | 26.4133i | 2.30774 | + | 1.33237i | |||||
24.1721 | − | 8.79794i | 1.21777 | − | 0.443234i | |||||
−0.0779845 | + | 2.62288i | −0.00392383 | + | 0.131971i | |||||
0.251124 | + | 0.434959i | 0.0126194 | + | 0.0218575i | |||||
7.64307 | + | 4.41273i | 0.383595 | + | 0.221468i | 0.679381 | − | 0.733786i | ||
−0.295787 | + | 0.955254i | ||||||||
−3.34429 | + | 9.18836i | −0.167634 | + | 0.460571i | |||||
7.63835 | + | 13.2300i | 0.382396 | + | 0.662329i | |||||
2.23832 | + | 4.47101i | 0.111916 | + | 0.223550i | |||||
−17.8573 | −0.891751 | −0.445875 | − | 0.895095i | ||||||
−0.445875 | + | 0.895095i | ||||||||
18.5210 | − | 22.0724i | 0.923742 | − | 1.10087i | |||||
11.4202 | + | 31.3767i | 0.568879 | + | 1.56298i | |||||
1.32096 | − | 7.49156i | 0.0657204 | − | 0.372719i | |||||
0.319869 | − | 10.7583i | 0.0158944 | − | 0.534582i | |||||
−8.00579 | −0.397321 | |||||||||
−0.481513 | + | 0.583799i | −0.0238677 | + | 0.0289378i | |||||
− | 12.5021i | − | 0.618948i | |||||||
−0.621905 | − | 3.52700i | −0.0307512 | − | 0.174399i | 0.965564 | − | 0.260166i | ||
−0.996315 | + | 0.0857667i | ||||||||
8.42976 | + | 3.35513i | 0.416316 | + | 0.165698i | |||||
−28.4348 | + | 10.3494i | −1.40259 | + | 0.510500i | |||||
0.555557 | − | 0.662087i | 0.0273703 | − | 0.0326187i | |||||
− | 23.7992i | − | 1.17108i | |||||||
26.2153 | + | 21.9973i | 1.28841 | + | 1.08111i | |||||
−8.25904 | + | 2.73093i | −0.405421 | + | 0.134056i | |||||
5.85586 | + | 2.13136i | 0.287107 | + | 0.104498i | |||||
19.4470 | + | 11.2277i | 0.952322 | + | 0.549823i | |||||
0.190713 | − | 0.110108i | 0.00932806 | − | 0.00538556i | |||||
0.292638 | + | 1.65963i | 0.0142963 | + | 0.0810784i | 0.991121 | − | 0.132962i | ||
−0.976825 | + | 0.214040i | ||||||||
19.0963 | − | 2.78482i | 0.931805 | − | 0.135885i | |||||
−5.62872 | + | 9.74922i | −0.274327 | + | 0.475148i | −0.969965 | − | 0.243244i | ||
0.695638 | + | 0.718392i | ||||||||
2.04778 | + | 2.44046i | 0.0996846 | + | 0.118799i | |||||
24.9221 | + | 29.7010i | 1.21175 | + | 1.44411i | |||||
−6.82209 | − | 2.48304i | −0.331310 | − | 0.120587i | |||||
−19.6714 | − | 12.9739i | −0.954204 | − | 0.629327i | |||||
−2.68752 | + | 15.2417i | −0.130211 | + | 0.738463i | |||||
0.150575 | − | 0.413701i | 0.00728684 | − | 0.0200204i | |||||
−13.1848 | − | 15.7130i | −0.637311 | − | 0.759518i | |||||
1.57546 | − | 1.32197i | 0.0760640 | − | 0.0638252i | |||||
−3.30957 | + | 3.71418i | −0.159602 | + | 0.179114i | |||||
−2.78306 | + | 1.01295i | −0.134055 | + | 0.0487921i | −0.408177 | − | 0.912903i | ||
0.274121 | + | 0.961695i | ||||||||
2.70924 | − | 0.477712i | 0.130348 | − | 0.0229839i | |||||
−16.0594 | + | 9.27188i | −0.771764 | + | 0.445578i | −0.833503 | − | 0.552514i | ||
0.0617397 | + | 0.998092i | ||||||||
8.71616 | − | 15.0968i | 0.418389 | − | 0.724671i | |||||
−7.67066 | + | 12.4184i | −0.367780 | + | 0.595416i | |||||
−7.67666 | − | 13.2964i | −0.367645 | − | 0.636780i | |||||
9.64495 | − | 11.4944i | 0.461381 | − | 0.549852i | |||||
24.2793i | 1.16011i | |||||||||
8.69993 | + | 7.30011i | 0.415225 | + | 0.348415i | 0.826343 | − | 0.563167i | ||
−0.411118 | + | 0.911582i | ||||||||
−0.0401436 | − | 0.275276i | −0.00191377 | − | 0.0131233i | |||||
2.51295 | − | 14.2517i | 0.119664 | − | 0.678650i | |||||
−28.9231 | + | 5.09992i | −1.37573 | + | 0.242579i | |||||
− | 8.42323i | − | 0.400200i | −0.979775 | − | 0.200100i | ||||
0.979775 | − | 0.200100i | ||||||||
8.18586 | + | 13.9055i | 0.388484 | + | 0.659925i | |||||
−32.3684 | − | 6.70496i | −1.53441 | − | 0.317845i | |||||
1.03659 | + | 5.87881i | 0.0490841 | + | 0.278370i | |||||
15.7313 | + | 2.77385i | 0.744063 | + | 0.131198i | |||||
−1.11273 | − | 3.05720i | −0.0525716 | − | 0.144439i | |||||
−5.64012 | − | 4.73262i | −0.266174 | − | 0.223346i | 0.499926 | − | 0.866068i | ||
−0.766100 | + | 0.642722i | ||||||||
8.01850 | − | 18.5243i | 0.377996 | − | 0.873242i | |||||
−0.386695 | − | 0.324476i | −0.0182088 | − | 0.0152790i | |||||
−5.60958 | + | 3.23869i | −0.263853 | + | 0.152335i | |||||
17.6302 | − | 48.4385i | 0.828338 | − | 2.27584i | |||||
−7.02680 | + | 12.1708i | −0.329784 | + | 0.571203i | |||||
−14.2324 | − | 43.0424i | −0.667225 | − | 2.01786i | |||||
−0.815382 | − | 4.62426i | −0.0381837 | − | 0.216551i | |||||
−2.39975 | − | 6.59326i | −0.112256 | − | 0.308420i | 0.870825 | − | 0.491593i | ||
−0.983081 | + | 0.183173i | ||||||||
15.1753 | + | 8.76149i | 0.709097 | + | 0.409397i | |||||
−9.93205 | + | 8.33398i | −0.463588 | + | 0.388997i | |||||
−8.98542 | − | 16.6899i | −0.418948 | − | 0.778169i | |||||
−8.35772 | − | 3.04196i | −0.389258 | − | 0.141678i | 0.139975 | − | 0.990155i | ||
−0.529232 | + | 0.848477i | ||||||||
−1.05740 | − | 0.186448i | −0.0491947 | − | 0.00867435i | |||||
29.0606 | + | 5.12417i | 1.35056 | + | 0.238140i | 0.801677 | − | 0.597758i | ||
0.548885 | + | 0.835898i | ||||||||
2.31234 | + | 0.841622i | 0.107348 | + | 0.0390713i | |||||
−15.0665 | − | 27.9851i | −0.698694 | − | 1.29778i | |||||
−7.08931 | + | 5.94863i | −0.328406 | + | 0.275565i | |||||
−25.2848 | − | 14.5982i | −1.17004 | − | 0.675522i | −0.216350 | − | 0.976316i | ||
−0.953689 | + | 0.300793i | ||||||||
−8.60440 | − | 23.6404i | −0.397739 | − | 1.09278i | |||||
6.13634 | + | 34.8009i | 0.283350 | + | 1.60696i | |||||
−6.74198 | − | 20.3895i | −0.310984 | − | 0.940497i | |||||
−6.39092 | + | 11.0694i | −0.294478 | + | 0.510051i | |||||
−2.50193 | + | 6.87401i | −0.115161 | + | 0.316402i | |||||
0.239703 | − | 0.138392i | 0.0110215 | − | 0.00636329i | |||||
−2.38470 | − | 2.00100i | −0.109533 | − | 0.0919091i | |||||
−8.12217 | − | 3.51580i | −0.372671 | − | 0.161316i | |||||
11.7458 | + | 9.85587i | 0.538366 | + | 0.451743i | |||||
10.0242 | + | 27.5411i | 0.458975 | + | 1.26102i | |||||
−2.21230 | − | 0.390089i | −0.101188 | − | 0.0178422i | |||||
0.783733 | + | 4.44477i | 0.0358097 | + | 0.203087i | 0.997464 | − | 0.0711792i | ||
−0.961654 | + | 0.274266i | ||||||||
−5.80841 | − | 1.20319i | −0.265116 | − | 0.0549176i | |||||
28.8305 | − | 24.6100i | 1.31456 | − | 1.12212i | |||||
− | 18.2230i | − | 0.830033i | |||||||
−72.0481 | + | 12.7040i | −3.27830 | + | 0.578053i | |||||
1.90744 | − | 10.8176i | 0.0867019 | − | 0.491711i | |||||
−0.522274 | − | 3.58139i | −0.0237152 | − | 0.162622i | |||||
16.1036 | + | 13.5125i | 0.730473 | + | 0.612940i | |||||
− | 21.9873i | − | 0.996338i | −0.867080 | − | 0.498169i | ||||
0.867080 | − | 0.498169i | ||||||||
−0.0869821 | + | 0.103661i | −0.00393750 | + | 0.00469252i | |||||
19.5846 | + | 33.9215i | 0.885646 | + | 1.53398i | |||||
−4.21232 | + | 6.81951i | −0.190293 | + | 0.308074i | |||||
−11.5059 | + | 19.9287i | −0.519252 | + | 0.899371i | 0.480498 | + | 0.876996i | ||
−0.999750 | + | 0.0223747i | ||||||||
−9.32154 | + | 5.38179i | −0.420247 | + | 0.242630i | |||||
−11.4210 | + | 2.01384i | −0.514378 | + | 0.0906987i | |||||
−10.3654 | + | 3.77269i | −0.466361 | + | 0.169742i | |||||
−0.747138 | + | 0.838480i | −0.0335814 | + | 0.0376869i | |||||
−4.10460 | + | 3.44417i | −0.184302 | + | 0.154648i | |||||
−12.2009 | − | 14.5405i | −0.547286 | − | 0.652230i | |||||
3.52958 | − | 9.69745i | 0.158164 | − | 0.434553i | |||||
−2.48624 | + | 14.1002i | −0.111299 | + | 0.631211i | 0.877217 | + | 0.480095i | ||
−0.988516 | + | 0.151116i | ||||||||
−7.92074 | + | 7.89062i | −0.354226 | + | 0.352879i | |||||
33.0882 | + | 12.0431i | 1.47827 | + | 0.538047i | |||||
9.01758 | + | 10.7467i | 0.402474 | + | 0.479650i | |||||
−13.6272 | − | 16.2402i | −0.607606 | − | 0.724116i | 0.371281 | − | 0.928521i | ||
−0.978887 | + | 0.204404i | ||||||||
−6.56709 | + | 11.3745i | −0.292522 | + | 0.506662i | |||||
16.8320 | − | 2.45461i | 0.749015 | − | 0.109229i | |||||
0.183131 | + | 1.03859i | 0.00814115 | + | 0.0461708i | |||||
−59.3490 | + | 34.2652i | −2.63578 | + | 1.52177i | |||||
10.2486 | + | 5.91702i | 0.454707 | + | 0.262525i | |||||
−33.4117 | − | 12.1609i | −1.48095 | − | 0.539020i | −0.529898 | − | 0.848062i | ||
−0.951049 | + | 0.309041i | ||||||||
26.5422 | − | 8.77645i | 1.17531 | − | 0.388628i | |||||
−22.8104 | − | 19.1402i | −1.00907 | − | 0.846713i | |||||
1.00000i | 0.0441942i | |||||||||
−3.13010 | + | 3.73031i | −0.138197 | + | 0.164697i | |||||
−20.1288 | + | 7.32627i | −0.887842 | + | 0.323148i | |||||
1.79562 | + | 0.714674i | 0.0791245 | + | 0.0314923i | |||||
−1.02484 | − | 5.81213i | −0.0451159 | − | 0.255865i | |||||
1.19483i | 0.0525486i | |||||||||
−19.5174 | − | 3.27156i | −0.857546 | − | 0.143744i | |||||
6.94276 | 0.304753 | |||||||||
−0.414122 | + | 13.9283i | −0.0181604 | + | 0.610796i | |||||
−0.796753 | + | 4.51861i | −0.0349064 | + | 0.197964i | −0.997274 | − | 0.0737869i | ||
0.962368 | + | 0.271751i | ||||||||
−3.39767 | − | 9.33503i | −0.148712 | − | 0.408583i | |||||
−0.554308 | + | 0.660599i | −0.0242382 | + | 0.0288860i | −0.778027 | − | 0.628230i | ||
0.753789 | + | 0.657116i | ||||||||
19.9139 | 0.869944 | |||||||||
19.3177 | + | 38.5869i | 0.843096 | + | 1.68407i | |||||
−6.35791 | − | 11.0122i | −0.277218 | − | 0.480156i | |||||
8.63688 | − | 23.7296i | 0.376228 | − | 1.03368i | |||||
0.285811 | + | 0.165013i | 0.0124383 | + | 0.00718128i | |||||
24.4289 | + | 42.3122i | 1.06213 | + | 1.83966i | |||||
0.482453 | − | 16.2265i | 0.0209564 | − | 0.704834i | |||||
27.7507 | − | 10.1004i | 1.20428 | − | 0.438322i | |||||
4.98729 | + | 2.87941i | 0.216226 | + | 0.124838i | |||||
16.2530 | + | 19.3696i | 0.703996 | + | 0.838989i | |||||
30.0406 | − | 25.2070i | 1.29998 | − | 1.09082i | |||||
24.1033 | − | 39.0220i | 1.04208 | − | 1.68707i | |||||
1.88613 | − | 10.6968i | 0.0814683 | − | 0.462030i | |||||
−2.10634 | − | 0.371404i | −0.0908951 | − | 0.0160273i | |||||
−3.98048 | + | 10.9363i | −0.171610 | + | 0.471496i | |||||
0.341631 | − | 0.286662i | 0.0147151 | − | 0.0123474i | |||||
2.91607 | + | 5.41641i | 0.125488 | + | 0.233085i | |||||
6.93311 | − | 12.0085i | 0.298078 | − | 0.516286i | −0.677618 | − | 0.735414i | ||
0.975696 | + | 0.219128i | ||||||||
5.48910 | + | 15.0812i | 0.235777 | + | 0.647792i | |||||
19.7499 | − | 3.48243i | 0.847547 | − | 0.149445i | |||||
−2.35645 | − | 4.08150i | −0.101032 | − | 0.174993i | |||||
22.8394 | − | 25.6317i | 0.978333 | − | 1.09794i | |||||
50.5388 | + | 18.3946i | 2.16286 | + | 0.787216i | |||||
−25.1975 | + | 14.5478i | −1.07737 | + | 0.622018i | −0.930185 | − | 0.367092i | ||
−0.147182 | + | 0.989109i | ||||||||
−7.33224 | + | 8.73823i | −0.313218 | + | 0.373279i | |||||
0.546295 | 0.0233153 | |||||||||
0.556236 | − | 0.278468i | 0.0237180 | − | 0.0118739i | |||||
−4.09305 | + | 1.48975i | −0.174370 | + | 0.0634654i | |||||
22.1454 | + | 3.90484i | 0.942572 | + | 0.166201i | |||||
3.75989 | − | 0.662970i | 0.159887 | − | 0.0281923i | |||||
−15.3159 | −0.650712 | |||||||||
−23.7751 | + | 27.1403i | −1.00920 | + | 1.15204i | |||||
8.46498 | 0.358995 | |||||||||
−2.68552 | + | 0.473530i | −0.113789 | + | 0.0200641i | −0.230253 | − | 0.973131i | ||
0.116464 | + | 0.993195i | ||||||||
21.3026 | + | 3.75622i | 0.901810 | + | 0.159013i | |||||
−13.0280 | + | 4.74182i | −0.551028 | + | 0.200558i | |||||
5.70937 | − | 4.50849i | 0.241265 | − | 0.190519i | |||||
−1.55538 | −0.0656684 | |||||||||
10.5392 | − | 12.5602i | 0.444571 | − | 0.529820i | |||||
−1.29221 | + | 0.746060i | −0.0544603 | + | 0.0314427i | −0.526983 | − | 0.849876i | ||
0.472523 | + | 0.881319i | ||||||||
23.9406 | + | 8.71365i | 1.00808 | + | 0.366911i | |||||
−10.8137 | − | 9.63569i | −0.454936 | − | 0.405377i | |||||
1.11490 | + | 1.93106i | 0.0468626 | + | 0.0811684i | |||||
−15.4219 | + | 2.71930i | −0.647661 | + | 0.114200i | |||||
1.99544 | + | 5.48242i | 0.0837267 | + | 0.230037i | |||||
0.464658 | − | 0.804812i | 0.0194795 | − | 0.0337395i | −0.856121 | − | 0.516775i | ||
0.875601 | + | 0.483035i | ||||||||
9.24499 | − | 4.97728i | 0.387230 | − | 0.208475i | |||||
−10.4105 | + | 8.73548i | −0.435667 | + | 0.365568i | −0.834085 | − | 0.551636i | ||
0.398418 | + | 0.917204i | ||||||||
0.265161 | − | 0.728524i | 0.0110869 | − | 0.0304611i | |||||
71.4310 | + | 12.5952i | 2.98407 | + | 0.526173i | |||||
2.29229 | − | 13.0002i | 0.0956785 | − | 0.542620i | |||||
29.1251 | − | 30.7924i | 1.21460 | − | 1.28413i | |||||
3.09256 | − | 2.59497i | 0.128857 | − | 0.108124i | |||||
7.04419 | + | 8.39494i | 0.293254 | + | 0.349486i | 0.892475 | − | 0.451098i | ||
−0.599221 | + | 0.800584i | ||||||||
4.51328 | + | 2.60574i | 0.187728 | + | 0.108385i | |||||
33.7556 | − | 12.2860i | 1.40283 | − | 0.510590i | |||||
−0.163527 | + | 5.49995i | −0.00679008 | + | 0.228373i | |||||
6.32827 | + | 10.9609i | 0.262541 | + | 0.454734i | |||||
3.71845 | + | 2.14685i | 0.154135 | + | 0.0889896i | |||||
−0.308914 | + | 0.848733i | −0.0127939 | + | 0.0351509i | |||||
4.57626 | + | 7.92632i | 0.189367 | + | 0.327993i | |||||
44.1487 | − | 34.8628i | 1.82533 | − | 1.44140i | |||||
31.0444 | 1.28243 | |||||||||
−12.1206 | + | 14.4448i | −0.500271 | + | 0.596200i | −0.955799 | − | 0.294022i | ||
0.455528 | + | 0.890222i | ||||||||
−3.25234 | − | 8.93574i | −0.134124 | − | 0.368504i | |||||
1.64696 | − | 9.34035i | 0.0678616 | − | 0.384862i | |||||
−16.3500 | − | 0.486125i | −0.673118 | − | 0.0200134i | |||||
−68.2377 | −2.80693 | |||||||||
5.29335 | + | 2.99674i | 0.217555 | + | 0.123165i | |||||
22.9711i | 0.943311i | 0.881783 | + | 0.471655i | ||||||
−0.881783 | + | 0.471655i | ||||||||
−0.0594319 | − | 0.337055i | −0.00243852 | − | 0.0138295i | |||||
−12.6787 | + | 31.8552i | −0.519776 | + | 1.30594i | |||||
5.65852 | − | 2.05953i | 0.231782 | − | 0.0843617i | |||||
16.6731 | − | 19.8702i | 0.682383 | − | 0.813232i | |||||
− | 52.8253i | − | 2.16019i | |||||||
13.2057 | + | 11.0809i | 0.539570 | + | 0.452753i | 0.871391 | − | 0.490589i | ||
−0.331821 | + | 0.943342i | ||||||||
−1.52310 | − | 13.1760i | −0.0621801 | − | 0.537907i | |||||
−17.2811 | − | 6.28980i | −0.704910 | − | 0.256566i | −0.0354044 | − | 0.999373i | ||
−0.669506 | + | 0.742807i | ||||||||
6.26842 | + | 3.61907i | 0.255482 | + | 0.147502i | |||||
−37.9748 | + | 21.9248i | −1.54645 | + | 0.892846i | |||||
−3.37427 | − | 19.1364i | −0.137297 | − | 0.778650i | |||||
24.3051 | − | 3.54441i | 0.988141 | − | 0.144101i | |||||
−10.0899 | + | 17.4762i | −0.409873 | + | 0.709922i | |||||
20.1792 | + | 24.0486i | 0.819049 | + | 0.976104i | 0.999973 | − | 0.00739272i | ||
−0.180924 | + | 0.983497i | ||||||||
−1.13779 | − | 1.35597i | −0.0461436 | − | 0.0549917i | |||||
19.9566 | + | 7.26359i | 0.808680 | + | 0.294336i | |||||
−0.281136 | − | 0.111895i | −0.0113829 | − | 0.00453049i | |||||
10.3927 | − | 58.9399i | 0.420443 | − | 2.38445i | |||||
−6.50736 | + | 17.8788i | −0.263044 | + | 0.722709i | |||||
−3.34601 | − | 3.98762i | −0.135144 | − | 0.161058i | 0.694228 | − | 0.719755i | ||
−0.829372 | + | 0.558697i | ||||||||
14.3559 | − | 12.0460i | 0.579357 | − | 0.486138i | |||||
−17.9693 | − | 16.0118i | −0.724593 | − | 0.645658i | |||||
−0.380345 | + | 0.138434i | −0.0153245 | + | 0.00557768i | |||||
−10.8427 | + | 1.91187i | −0.436513 | + | 0.0769689i | −0.387586 | − | 0.921833i | ||
−0.0489263 | + | 0.998802i | ||||||||
−1.98558 | + | 1.14637i | −0.0798717 | + | 0.0461139i | |||||
−12.3360 | + | 21.3667i | −0.495828 | + | 0.858799i | −0.999988 | − | 0.00481106i | ||
0.504161 | + | 0.863610i | ||||||||
−10.1934 | − | 6.29634i | −0.409378 | − | 0.252867i | |||||
−11.6601 | − | 20.1959i | −0.467905 | − | 0.810435i | |||||
21.2441 | − | 25.3178i | 0.851813 | − | 1.01515i | |||||
48.0948i | 1.92688i | |||||||||
−12.6635 | − | 10.6259i | −0.506946 | − | 0.425378i | |||||
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4.81835i | 0.192273i | |||||||||
−28.6665 | + | 0.242366i | −1.14301 | + | 0.00966378i | |||||
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0.878522 | − | 0.477702i | ||||||||
−1.15568 | − | 0.203777i | −0.0459703 | − | 0.00810581i | |||||
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14.7530 | + | 12.3793i | 0.584996 | + | 0.490870i | |||||
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0.104706 | − | 0.287677i | 0.00414534 | − | 0.0113892i | |||||
11.7766 | − | 20.3977i | 0.465876 | − | 0.806921i | |||||
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1.88975 | + | 10.7173i | 0.0746405 | + | 0.423307i | 0.999115 | + | 0.0420632i | ||
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18.6103 | + | 51.1313i | 0.734489 | + | 2.01799i | |||||
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11.6198 | − | 6.25584i | 0.457530 | − | 0.246323i | |||||
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4.74024 | + | 0.835832i | 0.186214 | + | 0.0328346i | |||||
0.855192 | + | 0.311264i | 0.0335692 | + | 0.0122182i | |||||
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12.7873 | + | 7.38277i | 0.500791 | + | 0.289132i | |||||
1.25703 | + | 3.45366i | 0.0491914 | + | 0.135152i | 0.961855 | − | 0.273559i | ||
−0.912664 | + | 0.408711i | ||||||||
7.07242 | + | 40.1097i | 0.276553 | + | 1.56841i | |||||
13.9795 | + | 42.2776i | 0.546224 | + | 1.65192i | |||||
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12.6374 | − | 34.7209i | 0.493031 | − | 1.35459i | |||||
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−0.914824 | + | 0.403852i | ||||||||
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76.7256 | + | 13.5288i | 2.97978 | + | 0.525415i | |||||
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− | 20.8594i | − | 0.807681i | |||||||
13.0721 | − | 2.30496i | 0.505773 | − | 0.0891814i | |||||
2.74981 | − | 15.5950i | 0.106314 | − | 0.602936i | |||||
24.0335 | − | 3.50480i | 0.928493 | − | 0.135402i | |||||
0.0128964 | + | 0.0108214i | 0.000497862 | + | 0.000417756i | |||||
8.63046i | 0.332927i | |||||||||
6.08410 | − | 7.25075i | 0.234525 | − | 0.279496i | −0.635927 | − | 0.771749i | ||
0.870452 | + | 0.492253i | ||||||||
−15.4156 | − | 26.7006i | −0.593787 | − | 1.02847i | |||||
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30.5077 | − | 17.6136i | 1.17250 | − | 0.676946i | 0.218236 | − | 0.975896i | ||
0.954269 | + | 0.298950i | ||||||||
16.9218 | − | 2.98377i | 0.649878 | − | 0.114591i | |||||
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7.01087 | − | 7.86798i | 0.268854 | − | 0.301723i | |||||
28.5586 | − | 23.9635i | 1.09437 | − | 0.918284i | |||||
0.428487 | + | 0.510651i | 0.0164076 | + | 0.0195538i | |||||
3.38068 | − | 9.28834i | 0.129358 | − | 0.355408i | −0.858058 | − | 0.513553i | ||
0.987416 | + | 0.158145i | ||||||||
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22.6207 | − | 39.1802i | 0.861781 | − | 1.49265i | |||||
7.25596 | + | 49.7563i | 0.276230 | + | 1.89419i | |||||
1.40211 | + | 7.95176i | 0.0533388 | + | 0.302499i | 0.999793 | − | 0.0203384i | ||
−0.946454 | + | 0.322838i | ||||||||
2.26656 | − | 1.30860i | 0.0861617 | − | 0.0497455i | |||||
1.41510 | + | 0.817009i | 0.0537552 | + | 0.0310356i | |||||
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5.94238 | + | 17.9713i | 0.225407 | + | 0.681690i | |||||
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− | 19.1227i | − | 0.724326i | |||||||
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23.0691 | − | 8.39647i | 0.872554 | − | 0.317584i | |||||
13.5796 | + | 8.95614i | 0.513259 | + | 0.338510i | |||||
6.64346 | + | 37.6769i | 0.250920 | + | 1.42304i | 0.806332 | + | 0.591463i | ||
−0.555412 | + | 0.831575i | ||||||||
17.1435i | 0.647042i | |||||||||
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0.124409 | 0.00468886 | |||||||||
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3.04578 | − | 17.2735i | 0.114630 | − | 0.650097i | |||||
−8.46469 | − | 23.2565i | −0.318347 | − | 0.874652i | |||||
12.4735 | − | 14.8653i | 0.468782 | − | 0.558672i | |||||
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−0.146497 | + | 0.989211i | ||||||||
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2.36875 | + | 4.10279i | 0.0888351 | + | 0.153867i | |||||
5.05604 | − | 13.8914i | 0.189483 | − | 0.520601i | |||||
39.3355 | + | 22.7103i | 1.47312 | + | 0.850509i | |||||
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1.73281 | + | 0.0515207i | 0.0648035 | + | 0.00192676i | |||||
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5.16083 | + | 2.97960i | 0.192735 | + | 0.111275i | |||||
3.61306 | + | 4.30587i | 0.134838 | + | 0.160694i | |||||
9.50555 | − | 7.97610i | 0.354497 | − | 0.297458i | −0.448096 | − | 0.893986i | ||
0.802593 | + | 0.596527i | ||||||||
7.68013 | + | 4.74391i | 0.286221 | + | 0.176795i | |||||
0.488281 | − | 2.76918i | 0.0181845 | − | 0.103130i | |||||
−15.6257 | − | 2.75524i | −0.581529 | − | 0.102539i | |||||
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5.79123 | − | 4.85942i | 0.215229 | − | 0.180599i | |||||
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−14.5696 | + | 25.2352i | −0.540727 | + | 0.936567i | |||||
5.43556 | + | 14.9341i | 0.201594 | + | 0.553874i | 0.998755 | − | 0.0498929i | ||
−0.797161 | + | 0.603767i | ||||||||
19.9662 | − | 3.52057i | 0.739996 | − | 0.130481i | |||||
−20.6626 | − | 35.7887i | −0.765281 | − | 1.32551i | |||||
−13.6152 | + | 15.2797i | −0.503921 | + | 0.565528i | |||||
9.85288 | + | 3.58616i | 0.364422 | + | 0.132639i | |||||
0.310877 | − | 0.179485i | 0.0114903 | − | 0.00663395i | |||||
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−0.827184 | + | 0.561931i | ||||||||
−27.1180 | −1.00094 | |||||||||
16.6876 | − | 13.1776i | 0.615532 | − | 0.486064i | |||||
7.96568 | − | 2.89927i | 0.293619 | − | 0.106869i | |||||
−1.33078 | − | 0.234652i | −0.0490198 | − | 0.00864352i | |||||
16.1316 | − | 2.84444i | 0.593812 | − | 0.104705i | |||||
16.1448 | 0.593895 | 0.296947 | − | 0.954894i | ||||||
0.296947 | + | 0.954894i | ||||||||
−2.64621 | + | 13.3416i | −0.0972767 | + | 0.490446i | |||||
29.2614 | 1.07495 | |||||||||
−23.2607 | + | 4.10148i | −0.853926 | + | 0.150570i | |||||
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−0.716360 | + | 0.697731i | ||||||||
13.3567 | − | 4.86142i | 0.489679 | − | 0.178228i | |||||
8.34468 | + | 10.5673i | 0.305725 | + | 0.387158i | |||||
29.5511 | 1.08194 | |||||||||
−10.0950 | + | 12.0308i | −0.369358 | + | 0.440184i | |||||
−0.507777 | + | 0.293165i | −0.0185662 | + | 0.0107192i | |||||
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26.9036 | − | 12.4830i | 0.982382 | − | 0.455816i | |||||
3.87246 | + | 6.70730i | 0.141308 | + | 0.244753i | 0.927990 | − | 0.372606i | ||
−0.786681 | + | 0.617359i | ||||||||
9.45811 | − | 1.66772i | 0.344902 | − | 0.0608155i | |||||
−12.7283 | − | 34.9706i | −0.463844 | − | 1.27440i | |||||
−7.66726 | + | 13.2801i | −0.279225 | + | 0.483632i | |||||
38.2583 | − | 20.5973i | 1.39236 | − | 0.749613i | |||||
6.85628 | − | 5.75310i | 0.249361 | − | 0.209238i | |||||
14.6997 | − | 40.3870i | 0.534269 | − | 1.46789i | −0.319675 | − | 0.947527i | ||
0.853944 | − | 0.520365i | ||||||||
−23.0625 | − | 4.06654i | −0.837668 | − | 0.147704i | |||||
0.485799 | − | 2.75510i | 0.0176334 | − | 0.100004i | |||||
2.08002 | − | 3.36744i | 0.0754502 | − | 0.122150i | |||||
−2.77362 | + | 2.32734i | −0.100544 | + | 0.0843660i | −0.691674 | − | 0.722210i | ||
0.591130 | + | 0.806576i | ||||||||
−20.1788 | − | 24.0482i | −0.731001 | − | 0.871174i | |||||
−43.2585 | − | 24.9753i | −1.56606 | − | 0.904167i | |||||
25.6937 | − | 9.35173i | 0.929564 | − | 0.338334i | |||||
−42.5252 | − | 1.26438i | −1.53750 | − | 0.0457137i | |||||
0.120982 | + | 0.209547i | 0.00437125 | + | 0.00757123i | |||||
−39.4784 | − | 22.7929i | −1.42548 | − | 0.823003i | |||||
0.907292 | − | 2.49276i | 0.0327391 | − | 0.0899499i | |||||
20.1460 | + | 34.8940i | 0.726485 | + | 1.25831i | 0.958360 | + | 0.285563i | ||
−0.231875 | + | 0.972746i | ||||||||
−0.560899 | − | 0.710299i | −0.0202134 | − | 0.0255974i | |||||
56.8233 | 2.04644 | |||||||||
8.70426 | − | 10.3733i | 0.313273 | − | 0.373344i | |||||
14.2847 | + | 39.2469i | 0.513784 | + | 1.41161i | 0.877264 | + | 0.480009i | ||
−0.363479 | + | 0.931602i | ||||||||
−1.55964 | + | 8.84514i | −0.0560600 | + | 0.317932i | |||||
6.21149 | − | 26.0608i | 0.223123 | − | 0.936133i | |||||
1.61859 | 0.0581038 | |||||||||
45.6841 | + | 25.8632i | 1.63891 | + | 0.927838i | |||||
− | 1.69673i | − | 0.0608308i | |||||||
−1.24717 | − | 7.07307i | −0.0446846 | − | 0.253419i | |||||
13.6693 | − | 34.3442i | 0.489441 | − | 1.22972i | |||||
0.682065 | − | 0.248251i | 0.0244062 | − | 0.00888314i | |||||
−25.6799 | + | 30.6041i | −0.918312 | + | 1.09440i | |||||
6.76958i | 0.241925i | |||||||||
−2.74602 | − | 2.30418i | −0.0980721 | − | 0.0822922i | |||||
−10.2294 | + | 3.38246i | −0.365104 | + | 0.120725i | |||||
−49.6407 | − | 18.0677i | −1.77063 | − | 0.644455i | |||||
5.89312 | + | 3.40240i | 0.210067 | + | 0.121282i | 0.601343 | − | 0.798991i | ||
−0.391275 | + | 0.920274i | ||||||||
−22.2772 | + | 12.8617i | −0.793591 | + | 0.458180i | |||||
5.85747 | + | 33.2194i | 0.208531 | + | 1.18264i | |||||
−0.378658 | − | 2.59657i | −0.0134720 | − | 0.0923819i | |||||
−10.5368 | + | 18.2503i | −0.374645 | + | 0.648905i | |||||
−0.322839 | − | 0.384744i | −0.0114716 | − | 0.0136713i | |||||
−0.542044 | − | 0.645983i | −0.0192486 | − | 0.0229395i | |||||
−8.29321 | − | 3.01848i | −0.294315 | − | 0.107122i | |||||
−15.9248 | + | 40.0111i | −0.564795 | + | 1.41905i | |||||
1.69794 | − | 9.62950i | 0.0601819 | − | 0.341309i | |||||
−15.2588 | + | 41.9231i | −0.540493 | + | 1.48499i | 0.305706 | + | 0.952126i | ||
−0.846199 | + | 0.532867i | ||||||||
−9.81967 | − | 11.7026i | −0.347613 | − | 0.414269i | |||||
−34.6733 | + | 29.0944i | −1.22665 | + | 1.02929i | |||||
−2.98070 | − | 4.01440i | −0.105384 | − | 0.141931i | |||||
−56.0802 | + | 20.4115i | −1.98149 | + | 0.721205i | |||||
17.5860 | − | 3.10089i | 0.620983 | − | 0.109496i | |||||
0.986109 | − | 0.569330i | 0.0347990 | − | 0.0200912i | |||||
−14.4068 | + | 24.9532i | −0.508087 | + | 0.880032i | |||||
−52.4662 | − | 32.4076i | −1.84919 | − | 1.14222i | |||||
−16.6952 | − | 28.9169i | −0.588063 | − | 1.01855i | |||||
19.8448 | − | 23.6501i | 0.698569 | − | 0.832522i | |||||
7.60713i | 0.267618i | |||||||||
16.3379 | + | 13.7092i | 0.574411 | + | 0.481988i | 0.883106 | − | 0.469173i | ||
−0.308695 | + | 0.951161i | ||||||||
1.55314 | + | 10.6504i | 0.0545719 | + | 0.374216i | |||||
0.598461 | − | 3.39404i | 0.0210148 | − | 0.119181i | −0.972496 | − | 0.232920i | ||
0.993511 | + | 0.113740i | ||||||||
7.88417 | − | 1.39019i | 0.276680 | − | 0.0487861i | |||||
− | 42.5741i | − | 1.49314i | |||||||
0.372822 | − | 0.658543i | 0.0130674 | − | 0.0230819i | |||||
−6.69709 | + | 32.3304i | −0.234589 | + | 1.13248i | |||||
2.17097 | + | 12.3122i | 0.0759993 | + | 0.431013i | |||||
3.87825 | + | 0.683840i | 0.135683 | + | 0.0239245i | |||||
1.22491 | + | 3.36542i | 0.0428281 | + | 0.117669i | |||||
−62.6992 | − | 52.6108i | −2.19089 | − | 1.83837i | |||||
−8.88430 | − | 1.84034i | −0.310253 | − | 0.0642675i | |||||
−32.5122 | − | 27.2810i | −1.13468 | − | 0.952114i | −0.135433 | − | 0.990787i | ||
−0.999252 | + | 0.0386729i | ||||||||
26.2057 | − | 15.1299i | 0.914028 | − | 0.527714i | |||||
14.9362 | − | 41.0368i | 0.520642 | − | 1.43045i | −0.349166 | − | 0.937061i | ||
0.869808 | − | 0.493391i | ||||||||
−0.432146 | + | 0.748500i | −0.0150545 | + | 0.0260752i | |||||
−1.63922 | + | 0.189488i | −0.0570702 | + | 0.00659711i | |||||
4.13269 | + | 23.4377i | 0.143795 | + | 0.815501i | |||||
−9.38199 | − | 25.7768i | −0.326244 | − | 0.896348i | −0.989053 | − | 0.147559i | ||
0.662809 | − | 0.748788i | ||||||||
−29.6369 | − | 17.1109i | −1.02995 | − | 0.594643i | |||||
28.8267 | − | 24.1885i | 1.00119 | − | 0.840100i | 0.0140429 | − | 0.999901i | ||
0.987149 | + | 0.159802i | ||||||||
7.65935 | − | 4.12361i | 0.265860 | − | 0.143133i | |||||
38.1790 | + | 13.8960i | 1.32442 | + | 0.482048i | |||||
−6.13700 | − | 1.08212i | −0.212762 | − | 0.0375157i | |||||
16.6376 | + | 2.93365i | 0.576457 | + | 0.101645i | |||||
−21.1012 | − | 7.68021i | −0.730674 | − | 0.265944i | |||||
14.0700 | + | 26.1341i | 0.486912 | + | 0.904409i | |||||
−0.168695 | + | 0.141552i | −0.00583445 | + | 0.00489568i | |||||
−12.7657 | − | 7.37025i | −0.441246 | − | 0.254753i | |||||
−0.576385 | − | 1.58360i | −0.0199109 | − | 0.0547047i | |||||
−7.07968 | − | 40.1508i | −0.244418 | − | 1.38616i | −0.821841 | − | 0.569716i | ||
0.577424 | − | 0.816445i | ||||||||
−18.3226 | + | 6.05855i | −0.632190 | + | 0.209040i | |||||
11.4724 | − | 19.8707i | 0.395599 | − | 0.685198i | |||||
3.85027 | − | 10.5785i | 0.132689 | − | 0.364560i | |||||
−37.6676 | + | 21.7474i | −1.29734 | + | 0.749021i | |||||
−2.44046 | − | 2.04778i | −0.0840039 | − | 0.0704877i | |||||
−56.5652 | − | 11.7172i | −1.94590 | − | 0.403085i | |||||
−29.7010 | − | 24.9221i | −1.02114 | − | 0.856840i | |||||
−12.2228 | − | 33.5819i | −0.419981 | − | 1.15389i | |||||
7.14962 | + | 1.26067i | 0.245519 | + | 0.0432916i | |||||
−1.02714 | − | 5.82521i | −0.0352514 | − | 0.199921i | |||||
21.6255 | + | 9.36090i | 0.741747 | + | 0.321076i | |||||
8.52419 | − | 50.8535i | 0.292205 | − | 1.74324i | |||||
− | 15.4768i | − | 0.530227i | |||||||
16.9093 | − | 2.98157i | 0.578964 | − | 0.102087i | 0.123505 | − | 0.992344i | ||
0.455459 | + | 0.890257i | ||||||||
−0.0764489 | + | 0.433563i | −0.00261603 | + | 0.0148362i | |||||
−15.8116 | + | 2.30580i | −0.540745 | + | 0.0788568i | |||||
15.7130 | + | 13.1848i | 0.537060 | + | 0.450647i | |||||
− | 10.2382i | − | 0.349729i | −0.984593 | − | 0.174864i | ||||
0.984593 | − | 0.174864i | ||||||||
−1.32197 | + | 1.57546i | −0.0451313 | + | 0.0537853i | |||||
−13.9161 | − | 24.1035i | −0.474813 | − | 0.822400i | 0.524771 | − | 0.851243i | ||
−0.999584 | + | 0.0288434i | ||||||||
2.61433 | − | 4.23246i | 0.0891479 | − | 0.144326i | |||||
−17.5092 | + | 30.3268i | −0.596711 | + | 1.03353i | |||||
2.56488 | − | 1.48084i | 0.0873602 | − | 0.0504374i | |||||
20.3816 | − | 3.59383i | 0.693799 | − | 0.122335i | 0.184381 | − | 0.982855i | ||
0.509418 | + | 0.860519i | ||||||||
−2.58513 | + | 0.940909i | −0.0879478 | + | 0.0320104i | |||||
4.36930 | + | 3.89332i | 0.148561 | + | 0.132377i | |||||
14.2053 | − | 11.9197i | 0.482717 | − | 0.405048i | |||||
−8.88637 | − | 10.5904i | −0.301797 | − | 0.359667i | |||||
−5.96220 | + | 16.3810i | −0.202370 | + | 0.556008i | |||||
−0.0253518 | + | 0.143777i | −0.000860000 | + | 0.00487731i | |||||
5.39769 | − | 13.5617i | 0.182999 | − | 0.459785i | |||||
63.6050 | + | 23.1503i | 2.15517 | + | 0.784419i | |||||
9.86892 | + | 11.7613i | 0.334204 | + | 0.398289i | |||||
−4.20018 | − | 5.00557i | −0.142154 | − | 0.169413i | |||||
−7.50244 | + | 12.9946i | −0.253774 | + | 0.439549i | |||||
−9.48124 | + | 35.1168i | −0.320524 | + | 1.18716i | |||||
−4.21606 | − | 23.9104i | −0.142447 | − | 0.807859i | |||||
−12.1853 | + | 7.03519i | −0.411469 | + | 0.237562i | −0.691421 | − | 0.722452i | ||
0.279952 | + | 0.960014i | ||||||||
−9.83541 | − | 5.67848i | −0.331929 | − | 0.191639i | |||||
−77.3865 | − | 28.1664i | −2.61018 | − | 0.950028i | |||||
0.0873349 | + | 0.264124i | 0.00294406 | + | 0.00890360i | |||||
−8.43965 | − | 7.08171i | −0.284339 | − | 0.238589i | 0.489451 | − | 0.872031i | ||
−0.773790 | + | 0.633442i | ||||||||
14.4715i | 0.487281i | |||||||||
17.9615 | − | 21.4057i | 0.604452 | − | 0.720358i | −0.373862 | − | 0.927484i | ||
0.978314 | + | 0.207126i | ||||||||
27.5981 | − | 10.0449i | 0.928225 | − | 0.337846i | |||||
40.3156 | + | 16.0460i | 1.35519 | + | 0.539381i | |||||
1.46268 | + | 8.29527i | 0.0491397 | + | 0.278685i | |||||
− | 15.5073i | − | 0.520683i | −0.965517 | − | 0.260341i | ||||
0.965517 | − | 0.260341i | ||||||||
−10.4762 | − | 12.2728i | −0.351557 | − | 0.411847i | |||||
38.5010 | 1.29128 | |||||||||
33.0409 | + | 0.982387i | 1.10753 | + | 0.0329297i | |||||
0.103985 | − | 0.589731i | 0.00348364 | − | 0.0197567i | |||||
−2.04169 | − | 5.60949i | −0.0683608 | − | 0.187820i | |||||
−10.9274 | + | 13.0227i | −0.365671 | + | 0.435789i | |||||
−15.9739 | −0.534249 | |||||||||
−1.11731 | − | 1.41491i | −0.0373476 | − | 0.0472954i | |||||
1.62670 | + | 2.81754i | 0.0543444 | + | 0.0941272i | |||||
−47.9280 | + | 131.681i | −1.60027 | + | 4.39670i | |||||
6.37625 | + | 3.68133i | 0.212778 | + | 0.122847i | |||||
−6.59253 | − | 11.4186i | −0.219873 | − | 0.380831i | |||||
−4.67998 | + | 19.6352i | −0.155999 | + | 0.654508i | |||||
−32.1519 | + | 11.7023i | −1.07113 | + | 0.389861i | |||||
0.437165 | + | 0.252397i | 0.0145560 | + | 0.00840392i | |||||
−12.3421 | − | 14.7088i | −0.410721 | − | 0.489478i | |||||
4.96197 | − | 4.16358i | 0.165033 | − | 0.138479i | |||||
14.3821 | + | 8.88359i | 0.478076 | + | 0.295301i | |||||
−8.95107 | + | 50.7641i | −0.297380 | + | 1.68652i | |||||
43.1993 | + | 7.61721i | 1.43441 | + | 0.252925i | 0.836205 | − | 0.548418i | ||
0.598205 | + | 0.801343i | ||||||||
4.80661 | − | 13.2061i | 0.159513 | − | 0.438259i | |||||
23.5255 | − | 19.7402i | 0.780292 | − | 0.654743i | |||||
21.4904 | + | 39.9171i | 0.712400 | + | 1.32324i | |||||
−4.77070 | + | 8.26310i | −0.158060 | + | 0.273769i | −0.934169 | − | 0.356830i | ||
0.776109 | + | 0.630599i | ||||||||
1.60599 | + | 4.41242i | 0.0531796 | + | 0.146110i | |||||
−0.476630 | + | 0.0840427i | −0.0157741 | + | 0.00278141i | |||||
3.50820 | + | 6.07638i | 0.116041 | + | 0.200989i | |||||
0.599284 | + | 0.533999i | 0.0198117 | + | 0.0176535i | |||||
−16.4662 | − | 5.99321i | −0.544059 | − | 0.198021i | |||||
56.1082 | − | 32.3941i | 1.85286 | − | 1.06975i | |||||
8.33398 | − | 9.93205i | 0.275062 | − | 0.327806i | |||||
48.1342 | 1.58780 | 0.793901 | − | 0.608048i | ||||||
0.793901 | + | 0.608048i | ||||||||
11.7471 | + | 14.8760i | 0.387290 | + | 0.490447i | |||||
−46.7151 | + | 17.0029i | −1.53932 | + | 0.560265i | |||||
8.75897 | + | 1.54444i | 0.288461 | + | 0.0508635i | |||||
−35.8049 | + | 6.31337i | −1.17853 | + | 0.207807i | |||||
1.07371 | 0.0353225 | |||||||||
−30.1820 | + | 3.74777i | −0.992379 | + | 0.123226i | |||||
−29.5089 | −0.969724 | |||||||||
3.43619 | − | 0.605893i | 0.112859 | − | 0.0199001i | |||||
−2.42336 | − | 0.427303i | −0.0795505 | − | 0.0140269i | |||||
43.2031 | − | 15.7246i | 1.41745 | − | 0.515909i | 0.484141 | − | 0.874990i | ||
0.933306 | + | 0.359081i | ||||||||
19.6972 | + | 24.9437i | 0.645897 | + | 0.817936i | |||||
6.34519 | 0.207955 | |||||||||
5.94863 | − | 7.08931i | 0.194854 | − | 0.232218i | |||||
−75.9273 | + | 43.8366i | −2.48575 | + | 1.43515i | |||||
27.4356 | + | 9.98573i | 0.897719 | + | 0.326743i | |||||
−0.978852 | − | 0.872218i | −0.0320119 | − | 0.0285246i | |||||
12.5788 | + | 21.7871i | 0.411151 | + | 0.712134i | |||||
25.3840 | − | 4.47588i | 0.829259 | − | 0.146221i | 0.257122 | − | 0.966379i | ||
0.572137 | + | 0.820158i | ||||||||
−12.0862 | − | 33.2067i | −0.394630 | − | 1.08424i | |||||
30.5629 | − | 52.9365i | 0.997383 | − | 1.72752i | |||||
10.1802 | + | 18.9090i | 0.332040 | + | 0.616744i | |||||
−34.0940 | + | 28.6083i | −1.11143 | + | 0.932603i | −0.998140 | − | 0.0609589i | ||
−0.113292 | + | 0.993562i | ||||||||
4.37165 | − | 12.0110i | 0.142436 | − | 0.391340i | |||||
33.8727 | + | 5.97268i | 1.10305 | + | 0.194497i | |||||
1.27027 | − | 7.20403i | 0.0413436 | − | 0.234471i | |||||
17.0270 | + | 10.5174i | 0.553889 | + | 0.342129i | |||||
−0.212029 | + | 0.177914i | −0.00689367 | + | 0.00578448i | |||||
19.8592 | + | 23.6673i | 0.645339 | + | 0.769085i | 0.985203 | − | 0.171390i | ||
−0.339865 | + | 0.940474i | ||||||||
2.69594 | + | 1.55650i | 0.0875602 | + | 0.0505529i | |||||
−53.5959 | + | 19.5073i | −1.73980 | + | 0.633234i | |||||
8.60929 | + | 2.05199i | 0.279322 | + | 0.0665752i | |||||
19.9305 | + | 34.5206i | 0.646290 | + | 1.11941i | |||||
−13.2788 | − | 7.66651i | −0.430368 | − | 0.248473i | |||||
17.0316 | − | 46.7940i | 0.551708 | − | 1.51581i | −0.279668 | − | 0.960097i | ||
0.831377 | − | 0.555709i | ||||||||
−14.6543 | − | 25.3821i | −0.474452 | − | 0.821774i | |||||
37.8907 | + | 47.9832i | 1.22611 | + | 1.55270i | |||||
2.24643 | 0.0726548 | |||||||||
−0.522014 | + | 0.622112i | −0.0168743 | + | 0.0201100i | |||||
−1.54365 | − | 4.24115i | −0.0498732 | − | 0.137025i | |||||
−6.44434 | + | 36.5477i | −0.208099 | + | 1.18019i | |||||
5.92910 | + | 0.176286i | 0.191361 | + | 0.00568962i | |||||
−2.29002 | −0.0738716 | |||||||||
−24.1190 | + | 29.2425i | −0.777628 | + | 0.942815i | |||||
− | 82.8076i | − | 2.66844i | |||||||
3.16438 | + | 17.9461i | 0.101918 | + | 0.578005i | |||||
28.1331 | + | 11.1973i | 0.905637 | + | 0.360452i | |||||
68.7475 | − | 25.0221i | 2.21192 | − | 0.805071i | |||||
−30.8841 | + | 36.8062i | −0.993165 | + | 1.18361i | −0.0101746 | + | 0.999948i | ||
−0.982990 | + | 0.183659i | ||||||||
10.9845i | 0.353056i | |||||||||
−16.9525 | − | 14.2248i | −0.544592 | − | 0.456967i | |||||
1.13624 | + | 3.43628i | 0.0364825 | + | 0.110332i | |||||
1.99793 | + | 0.727189i | 0.0641168 | + | 0.0233366i | 0.373879 | − | 0.927477i | ||
−0.309763 | + | 0.950814i | ||||||||
−18.2054 | − | 10.5109i | −0.583937 | − | 0.337136i | |||||
23.8504 | − | 13.7700i | 0.764608 | − | 0.441446i | |||||
3.81805 | + | 21.6532i | 0.122338 | + | 0.693814i | |||||
82.5092 | + | 4.91074i | 2.64241 | + | 0.157269i | |||||
0.0676601 | − | 0.117191i | 0.00216575 | − | 0.00375118i | |||||
13.1442 | + | 15.6647i | 0.420522 | + | 0.501158i | 0.934163 | − | 0.356847i | ||
−0.513641 | + | 0.858005i | ||||||||
−25.1775 | − | 30.0054i | −0.805087 | − | 0.959465i | |||||
−1.72822 | − | 0.629020i | −0.0552341 | − | 0.0201036i | |||||
2.96413 | − | 7.44737i | 0.0946855 | − | 0.237898i | |||||
10.7631 | − | 61.0405i | 0.343639 | − | 1.94887i | |||||
7.87047 | − | 21.6239i | 0.251157 | − | 0.690047i | |||||
2.93803 | + | 3.50141i | 0.0937087 | + | 0.111678i | 0.810861 | − | 0.585239i | ||
−0.717152 | + | 0.696917i | ||||||||
8.24538 | − | 6.91870i | 0.262853 | − | 0.220560i | |||||
−42.9441 | − | 38.2659i | −1.36831 | − | 1.21925i | |||||
10.8978 | − | 3.96649i | 0.347058 | − | 0.126319i | |||||
81.6279 | − | 14.3932i | 2.59824 | − | 0.458141i | |||||
9.55280 | − | 5.51531i | 0.303915 | − | 0.175465i | |||||
−9.42966 | + | 16.3326i | −0.299846 | + | 0.519348i | |||||
0.590187 | − | 0.955481i | 0.0187574 | − | 0.0303672i | |||||
−22.4132 | − | 38.8207i | −0.711977 | − | 1.23318i | −0.964114 | − | 0.265489i | ||
0.252137 | − | 0.967692i | ||||||||
3.44417 | − | 4.10460i | 0.109352 | − | 0.130321i | |||||
15.2394i | 0.483607i | |||||||||
14.5405 | + | 12.2009i | 0.461197 | + | 0.386990i | |||||
21.6355 | − | 3.15511i | 0.685893 | − | 0.100024i | |||||
−1.79202 | + | 10.1630i | −0.0567822 | + | 0.322028i | |||||
−29.3514 | + | 5.17544i | −0.929567 | + | 0.163908i | −0.617876 | − | 0.786276i | ||
−0.311691 | + | 0.950183i | ||||||||
− | 14.3177i | − | 0.453219i | |||||||
−2.76638 | + | 16.5036i | −0.0875244 | + | 0.522152i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 370.2.x.a.9.9 | ✓ | 108 | |
5.4 | even | 2 | inner | 370.2.x.a.9.10 | yes | 108 | |
37.33 | even | 9 | inner | 370.2.x.a.329.10 | yes | 108 | |
185.144 | even | 18 | inner | 370.2.x.a.329.9 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.x.a.9.9 | ✓ | 108 | 1.1 | even | 1 | trivial | |
370.2.x.a.9.10 | yes | 108 | 5.4 | even | 2 | inner | |
370.2.x.a.329.9 | yes | 108 | 185.144 | even | 18 | inner | |
370.2.x.a.329.10 | yes | 108 | 37.33 | even | 9 | inner |