Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 483.y (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 | 4.5 | ||
Character | 483.4 | ||
Dual form | 483.2.y.a.121.5 |
-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 .
−0.957403 | + | 1.34448i | −0.676986 | + | 0.950694i | 0.323005 | + | 0.946397i | ||
−0.999991 | + | 0.00429672i | ||||||||
−0.235759 | + | 0.971812i | −0.136115 | + | 0.561076i | |||||
−0.236882 | − | 0.684426i | −0.118441 | − | 0.342213i | |||||
0.115570 | − | 2.42610i | 0.0516843 | − | 1.08499i | −0.812869 | − | 0.582446i | ||
0.864554 | − | 0.502541i | ||||||||
−1.08087 | − | 1.24739i | −0.441263 | − | 0.509245i | |||||
2.21964 | − | 1.43986i | 0.838945 | − | 0.544216i | |||||
−2.02036 | − | 0.593231i | −0.714305 | − | 0.209739i | |||||
−0.888835 | − | 0.458227i | −0.296278 | − | 0.152742i | |||||
3.15121 | + | 2.47814i | 0.996501 | + | 0.783657i | |||||
−0.243478 | − | 0.341917i | −0.0734114 | − | 0.103092i | 0.776238 | − | 0.630440i | ||
−0.849649 | + | 0.527348i | ||||||||
0.720980 | − | 0.0688452i | 0.208129 | − | 0.0198739i | |||||
−0.871137 | + | 6.05889i | −0.241610 | + | 1.68043i | 0.402437 | + | 0.915448i | ||
−0.644047 | + | 0.764986i | ||||||||
−0.189222 | + | 4.36280i | −0.0505716 | + | 1.16601i | |||||
2.33047 | + | 0.684288i | 0.601725 | + | 0.176682i | |||||
3.87050 | − | 3.04379i | 0.967625 | − | 0.760949i | |||||
5.69918 | − | 1.09843i | 1.38225 | − | 0.266408i | 0.556692 | − | 0.830719i | ||
0.825562 | + | 0.564311i | ||||||||
1.46705 | − | 0.756318i | 0.345788 | − | 0.178266i | |||||
4.77961 | + | 0.921194i | 1.09652 | + | 0.211336i | 0.705263 | − | 0.708946i | ||
0.391255 | + | 0.920282i | ||||||||
−1.68786 | + | 0.495602i | −0.377418 | + | 0.110820i | |||||
0.875972 | + | 2.49653i | 0.191153 | + | 0.544788i | |||||
0.692809 | 0.147707 | |||||||||
3.96736 | + | 2.69445i | 0.827252 | + | 0.561831i | |||||
1.05283 | − | 1.82355i | 0.214907 | − | 0.372230i | |||||
−0.895267 | − | 0.0854877i | −0.179053 | − | 0.0170975i | |||||
−7.31205 | − | 6.97203i | −1.43401 | − | 1.36733i | |||||
0.654861 | − | 0.755750i | 0.126028 | − | 0.145444i | |||||
−1.51127 | − | 1.17810i | −0.285603 | − | 0.222640i | |||||
−0.408146 | − | 0.471026i | −0.0757909 | − | 0.0874673i | 0.716588 | − | 0.697497i | ||
−0.792379 | + | 0.610030i | ||||||||
−3.15121 | + | 2.47814i | −0.575330 | + | 0.452445i | |||||
−5.22627 | + | 4.98324i | −0.938667 | + | 0.895017i | −0.994638 | − | 0.103416i | ||
0.0559716 | + | 0.998432i | ||||||||
0.186324 | + | 3.91143i | 0.0329378 | + | 0.691450i | |||||
0.389681 | − | 0.156005i | 0.0678348 | − | 0.0271570i | |||||
−3.97960 | + | 8.71410i | −0.682495 | + | 1.49446i | |||||
−3.23673 | − | 5.55148i | −0.547107 | − | 0.938372i | |||||
−0.103073 | + | 0.716887i | −0.0171788 | + | 0.119481i | |||||
6.81960 | + | 3.51575i | 1.12114 | + | 0.577986i | 0.916173 | − | 0.400784i | ||
0.204963 | + | 0.978770i | ||||||||
−5.81454 | + | 5.54416i | −0.943244 | + | 0.899381i | |||||
−5.68272 | − | 2.27502i | −0.909964 | − | 0.364294i | |||||
−1.67273 | + | 4.83304i | −0.264482 | + | 0.764171i | |||||
3.15401 | + | 2.02696i | 0.492574 | + | 0.316558i | 0.763240 | − | 0.646115i | ||
−0.270666 | + | 0.962673i | ||||||||
−4.19521 | − | 1.21246i | −0.647335 | − | 0.187086i | |||||
−0.780351 | + | 0.229132i | −0.119002 | + | 0.0349422i | −0.340691 | − | 0.940175i | ||
0.221689 | + | 0.975117i | ||||||||
−0.176341 | + | 0.247637i | −0.0265845 | + | 0.0373327i | |||||
−1.21443 | + | 2.10345i | −0.181036 | + | 0.313564i | |||||
−7.42101 | + | 2.75438i | −1.09417 | + | 0.406112i | |||||
−4.23304 | − | 7.33184i | −0.617452 | − | 1.06946i | −0.989949 | − | 0.141425i | ||
0.372496 | − | 0.928034i | ||||||||
2.04549 | + | 4.47900i | 0.295241 | + | 0.646488i | |||||
2.85361 | − | 6.39194i | 0.407658 | − | 0.913135i | |||||
0.972069 | − | 1.12183i | 0.137471 | − | 0.158650i | |||||
−0.276169 | + | 5.79750i | −0.0386714 | + | 0.811812i | |||||
4.35322 | − | 0.839014i | 0.603682 | − | 0.116350i | |||||
−3.64474 | − | 1.45913i | −0.500643 | − | 0.200427i | 0.107575 | − | 0.994197i | ||
−0.608218 | + | 0.793770i | ||||||||
0.389128 | + | 1.60401i | 0.0529536 | + | 0.218278i | |||||
−0.857666 | + | 0.551188i | −0.115648 | + | 0.0743222i | |||||
−5.33864 | + | 1.59227i | −0.713406 | + | 0.212777i | |||||
−2.02206 | + | 4.42770i | −0.267829 | + | 0.586463i | |||||
1.02405 | − | 0.0977847i | 0.134464 | − | 0.0128398i | |||||
−2.86469 | − | 2.25282i | −0.372951 | − | 0.293292i | 0.414037 | − | 0.910260i | ||
−0.786988 | + | 0.616968i | ||||||||
−0.0837024 | − | 1.75713i | −0.0108059 | − | 0.226844i | |||||
−2.90741 | − | 11.9845i | −0.372255 | − | 1.53446i | −0.782599 | − | 0.622526i | ||
0.410344 | − | 0.911931i | ||||||||
−1.69624 | − | 11.7976i | −0.215423 | − | 1.49830i | |||||
−2.63268 | + | 0.262700i | −0.331686 | + | 0.0330971i | |||||
2.84736 | + | 1.82989i | 0.355920 | + | 0.228736i | |||||
14.5988 | + | 2.81369i | 1.81076 | + | 0.348996i | |||||
−0.163336 | + | 0.673280i | −0.0201053 | + | 0.0828750i | |||||
11.4516 | + | 1.09349i | 1.39903 | + | 0.133591i | 0.767148 | − | 0.641471i | ||
0.631885 | + | 0.775062i | ||||||||
−2.10183 | − | 3.64047i | −0.254884 | − | 0.441472i | |||||
−3.55384 | + | 3.22029i | −0.427831 | + | 0.387677i | |||||
10.5627 | + | 0.963278i | 1.26249 | + | 0.115134i | |||||
5.27225 | + | 11.5446i | 0.625701 | + | 1.37009i | 0.911299 | + | 0.411745i | ||
−0.285598 | + | 0.958350i | ||||||||
1.52393 | + | 1.45307i | 0.179597 | + | 0.171246i | |||||
−1.53039 | − | 4.42177i | −0.179119 | − | 0.517529i | 0.819323 | − | 0.573332i | ||
−0.998442 | + | 0.0558028i | ||||||||
−11.2560 | + | 5.80286i | −1.30848 | + | 0.674569i | |||||
0.294145 | − | 0.849877i | 0.0339650 | − | 0.0981353i | |||||
−0.501715 | − | 3.48950i | −0.0575506 | − | 0.400273i | |||||
−1.03275 | − | 0.408359i | −0.117692 | − | 0.0465368i | |||||
8.49938 | − | 5.46222i | 0.962365 | − | 0.618475i | |||||
0.449012 | − | 0.179757i | 0.0505178 | − | 0.0202243i | −0.346266 | − | 0.938136i | ||
0.396784 | + | 0.917912i | ||||||||
−6.93725 | − | 9.74201i | −0.775608 | − | 1.08919i | |||||
0.580057 | + | 0.814576i | 0.0644508 | + | 0.0905084i | |||||
−5.74488 | + | 2.29990i | −0.634416 | + | 0.253982i | |||||
−7.46719 | + | 4.79887i | −0.819631 | + | 0.526745i | −0.881967 | − | 0.471311i | ||
0.0623367 | + | 0.998055i | ||||||||
1.50119 | − | 1.19092i | 0.163793 | − | 0.129940i | |||||
−2.00625 | − | 13.9538i | −0.217608 | − | 1.51350i | |||||
0.439046 | − | 1.26854i | 0.0473436 | − | 0.136790i | |||||
0.553973 | − | 0.285593i | 0.0593921 | − | 0.0306188i | |||||
0.289077 | + | 0.835234i | 0.0308158 | + | 0.0890363i | |||||
−2.05570 | − | 1.96010i | −0.217903 | − | 0.207770i | 0.573263 | − | 0.819371i | ||
−0.791166 | + | 0.611601i | ||||||||
−1.66536 | − | 3.64663i | −0.175544 | − | 0.384389i | |||||
6.79034 | + | 14.7029i | 0.711821 | + | 1.54128i | |||||
0.904352 | − | 3.35363i | 0.0942852 | − | 0.349640i | |||||
−3.61063 | − | 6.25380i | −0.374405 | − | 0.648489i | |||||
13.9103 | + | 1.32827i | 1.43474 | + | 0.137001i | |||||
2.78729 | − | 11.4894i | 0.285970 | − | 1.17878i | |||||
−3.84510 | − | 0.741083i | −0.392439 | − | 0.0756364i | |||||
−5.73513 | − | 3.68574i | −0.582314 | − | 0.374230i | 0.216071 | − | 0.976378i | ||
−0.798385 | + | 0.602147i | ||||||||
5.86181 | + | 9.95630i | 0.592133 | + | 1.00574i | |||||
0.0597365 | + | 0.415476i | 0.00600374 | + | 0.0417569i | |||||
0.153563 | + | 0.632995i | 0.0153563 | + | 0.0632995i | |||||
0.169940 | + | 3.56749i | 0.0169097 | + | 0.354978i | 0.991427 | + | 0.130664i | ||
−0.974517 | + | 0.224314i | ||||||||
−7.53024 | − | 5.92184i | −0.745605 | − | 0.586350i | |||||
19.7970 | − | 1.89039i | 1.95066 | − | 0.186265i | 0.956304 | − | 0.292375i | ||
0.994354 | + | 0.106110i | ||||||||
5.35433 | − | 11.7243i | 0.525035 | − | 1.14967i | |||||
6.15808 | − | 1.83668i | 0.600967 | − | 0.179241i | |||||
5.45126 | − | 3.50331i | 0.529473 | − | 0.340272i | |||||
−0.794196 | − | 3.27372i | −0.0767778 | − | 0.316483i | 0.920453 | − | 0.390854i | ||
−0.997231 | + | 0.0743712i | ||||||||
−0.672379 | − | 0.269180i | −0.0646997 | − | 0.0259019i | |||||
−10.5500 | + | 2.03335i | −1.01051 | + | 0.194759i | −0.667529 | − | 0.744584i | ||
−0.342979 | + | 0.939343i | ||||||||
0.0800677 | − | 1.68083i | 0.00763416 | − | 0.160261i | |||||
−5.02443 | + | 5.79850i | −0.476898 | + | 0.550369i | |||||
4.20848 | − | 12.3291i | 0.397664 | − | 1.16499i | |||||
1.16459 | + | 2.55010i | 0.109556 | + | 0.239893i | 0.956467 | − | 0.291841i | ||
−0.846911 | + | 0.531734i | ||||||||
−4.01704 | − | 6.95773i | −0.376231 | − | 0.651651i | |||||
6.99552 | − | 9.31384i | 0.652335 | − | 0.868520i | |||||
−0.225700 | + | 0.390923i | −0.0209557 | + | 0.0362963i | |||||
3.55064 | − | 4.98618i | 0.328257 | − | 0.460972i | |||||
5.77154 | − | 1.69468i | 0.531313 | − | 0.156008i | |||||
11.0686 | − | 10.6441i | 1.01465 | − | 0.975746i | |||||
−4.30244 | − | 2.76501i | −0.392758 | − | 0.252410i | |||||
3.54012 | − | 10.2285i | 0.321829 | − | 0.929865i | |||||
18.8965 | + | 7.56502i | 1.71081 | + | 0.684905i | |||||
−2.71341 | + | 2.58723i | −0.244660 | + | 0.233283i | |||||
4.64867 | + | 2.39656i | 0.417463 | + | 0.215217i | |||||
1.41744 | − | 9.85853i | 0.126780 | − | 0.881774i | |||||
2.16734 | − | 3.79110i | 0.193082 | − | 0.337738i | |||||
−3.21746 | + | 7.04526i | −0.285504 | + | 0.625166i | −0.996990 | − | 0.0775344i | ||
0.711486 | + | 0.702700i | ||||||||
−12.4571 | + | 4.98706i | −1.10106 | + | 0.440798i | |||||
−0.0386981 | − | 0.812373i | −0.00340718 | − | 0.0715255i | |||||
−17.7599 | + | 16.9341i | −1.55765 | + | 1.48521i | |||||
−14.8350 | + | 11.6664i | −1.29614 | + | 1.01930i | −0.298243 | + | 0.954490i | ||
−0.997898 | + | 0.0648067i | ||||||||
−0.199082 | − | 0.229753i | −0.0173279 | − | 0.0199974i | |||||
11.9354 | − | 4.83725i | 1.03493 | − | 0.419442i | |||||
−12.4340 | + | 14.3496i | −1.07413 | + | 1.23961i | |||||
−1.75785 | − | 1.67610i | −0.151291 | − | 0.144256i | |||||
−12.1660 | − | 1.16171i | −1.04323 | − | 0.0996161i | |||||
4.81734 | − | 8.34388i | 0.411573 | − | 0.712865i | −0.583489 | − | 0.812121i | ||
0.995062 | + | 0.0992557i | ||||||||
−0.927174 | − | 7.86119i | −0.0789263 | − | 0.669189i | |||||
−17.0999 | −1.45040 | −0.725199 | − | 0.688539i | ||||||
−0.725199 | + | 0.688539i | ||||||||
−3.03286 | + | 3.53035i | −0.256323 | + | 0.298369i | |||||
8.12315 | − | 2.38517i | 0.684092 | − | 0.200868i | |||||
−20.5692 | − | 3.96440i | −1.72613 | − | 0.332685i | |||||
2.28374 | − | 1.17735i | 0.190976 | − | 0.0984550i | |||||
−4.83498 | + | 0.931867i | −0.402915 | + | 0.0776556i | |||||
−1.18993 | + | 0.935769i | −0.0988181 | + | 0.0777114i | |||||
7.41020 | + | 2.17583i | 0.613272 | + | 0.180073i | |||||
5.53900 | + | 4.28013i | 0.456849 | + | 0.353019i | |||||
0.790828 | − | 5.50033i | 0.0650057 | − | 0.452124i | |||||
4.67883 | − | 0.446774i | 0.383304 | − | 0.0366011i | 0.0983745 | − | 0.995149i | ||
0.284930 | + | 0.958548i | ||||||||
0.861031 | + | 1.20915i | 0.0703029 | + | 0.0987266i | |||||
1.11189 | + | 0.874401i | 0.0904844 | + | 0.0711577i | 0.662376 | − | 0.749171i | ||
−0.571892 | + | 0.820329i | ||||||||
−9.11004 | − | 4.69655i | −0.738922 | − | 0.380941i | |||||
−5.56896 | − | 1.63520i | −0.450224 | − | 0.132198i | |||||
1.53779 | − | 0.997548i | 0.123918 | − | 0.0803847i | |||||
11.4859 | + | 13.2554i | 0.922567 | + | 1.06470i | |||||
−0.210946 | + | 4.42831i | −0.0168892 | + | 0.354549i | |||||
1.61628 | + | 4.66995i | 0.128994 | + | 0.372702i | 0.990941 | − | 0.134294i | ||
−0.861948 | + | 0.506997i | ||||||||
−0.188204 | + | 0.775789i | −0.0149727 | + | 0.0617185i | |||||
2.27728 | − | 3.19799i | 0.180600 | − | 0.253617i | |||||
9.51107 | 0.751916 | |||||||||
12.6857 | + | 0.268259i | 0.999776 | + | 0.0211418i | |||||
−1.65053 | −0.129678 | |||||||||
5.08569 | − | 7.14186i | 0.398342 | − | 0.559393i | −0.565880 | − | 0.824487i | ||
0.964223 | + | 0.265094i | ||||||||
0.640175 | − | 2.63884i | 0.0499893 | − | 0.206059i | |||||
−0.333449 | − | 0.963437i | −0.0259590 | − | 0.0750035i | |||||
0.697102 | − | 14.6340i | 0.0541056 | − | 1.13582i | |||||
8.59292 | + | 9.91676i | 0.664940 | + | 0.767382i | 0.983576 | − | 0.180495i | ||
−0.318636 | + | 0.947877i | ||||||||
−0.288758 | − | 5.56354i | −0.0222782 | − | 0.429237i | |||||
−23.4779 | − | 6.89372i | −1.80599 | − | 0.530286i | |||||
20.6814 | + | 10.6620i | 1.58619 | + | 0.817738i | |||||
−3.82617 | − | 3.00893i | −0.292595 | − | 0.230099i | |||||
0.341675 | + | 0.479815i | 0.0260524 | + | 0.0365855i | |||||
6.31277 | − | 0.602797i | 0.479951 | − | 0.0458298i | 0.147723 | − | 0.989029i | ||
0.332228 | + | 0.943199i | ||||||||
−0.146400 | + | 1.01823i | −0.0110986 | + | 0.0771922i | |||||
−2.11026 | + | 1.09931i | −0.159521 | + | 0.0830998i | |||||
−1.98311 | − | 0.582293i | −0.149482 | − | 0.0438920i | |||||
2.86469 | − | 2.25282i | 0.215323 | − | 0.169332i | |||||
4.60345 | − | 0.887243i | 0.345044 | − | 0.0665017i | |||||
−13.4941 | + | 6.95669i | −1.00860 | + | 0.519967i | −0.881631 | − | 0.471940i | ||
−0.126965 | + | 0.991907i | ||||||||
1.72733 | + | 0.332916i | 0.128748 | + | 0.0248141i | |||||
−11.9736 | + | 3.51577i | −0.889992 | + | 0.261325i | −0.694597 | − | 0.719399i | ||
−0.195395 | + | 0.980725i | ||||||||
−26.2689 | − | 4.94707i | −1.94718 | − | 0.366701i | |||||
12.3321 | 0.911616 | |||||||||
−6.41706 | − | 7.79731i | −0.473072 | − | 0.574825i | |||||
9.31772 | − | 16.1388i | 0.685052 | − | 1.18655i | |||||
11.8650 | + | 1.13297i | 0.869981 | + | 0.0830732i | |||||
−1.76320 | − | 1.68121i | −0.128938 | − | 0.122942i | |||||
−4.01537 | + | 4.63398i | −0.292851 | + | 0.337968i | |||||
0.365382 | − | 2.62040i | 0.0265776 | − | 0.190606i | |||||
12.7787 | + | 14.7474i | 0.927066 | + | 1.06989i | |||||
−0.396203 | + | 0.311578i | −0.0286682 | + | 0.0225450i | −0.632390 | − | 0.774650i | ||
0.603722 | + | 0.797195i | ||||||||
−2.44960 | + | 2.33569i | −0.176785 | + | 0.168564i | |||||
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0.456045 | − | 0.889957i | ||||||||
10.4462 | − | 4.18205i | 0.749997 | − | 0.300254i | |||||
−6.17618 | + | 13.5240i | −0.442286 | + | 0.968470i | |||||
−5.05078 | − | 0.438947i | −0.360770 | − | 0.0313533i | |||||
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−0.825833 | + | 0.563915i | ||||||||
−0.615793 | − | 0.317464i | −0.0437625 | − | 0.0225612i | |||||
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0.320455 | + | 0.947264i | ||||||||
1.75805 | + | 0.703816i | 0.124313 | + | 0.0497673i | |||||
−3.76248 | + | 10.8710i | −0.265385 | + | 0.766779i | |||||
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4.03337 | − | 1.18431i | 0.282393 | − | 0.0829180i | |||||
5.28213 | − | 7.41771i | 0.368920 | − | 0.518075i | |||||
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−2.29166 | − | 4.21287i | −0.159282 | − | 0.292815i | |||||
15.0703 | + | 26.1025i | 1.04494 | + | 1.80988i | |||||
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0.371244 | + | 0.928535i | ||||||||
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5.16183 | + | 2.06649i | 0.352856 | + | 0.141262i | |||||
0.465712 | + | 1.91969i | 0.0317613 | + | 0.130922i | |||||
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7.36681 | − | 16.1311i | 0.498943 | − | 1.09253i | |||||
4.65793 | − | 0.444778i | 0.314754 | − | 0.0300553i | |||||
0.580413 | + | 0.456442i | 0.0391314 | + | 0.0307733i | |||||
1.69048 | + | 35.4876i | 0.113714 | + | 2.38715i | |||||
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0.607898 | − | 0.794015i | ||||||||
6.04549 | + | 8.41369i | 0.403931 | + | 0.562163i | |||||
0.756573 | + | 0.486220i | 0.0504382 | + | 0.0324147i | |||||
−4.54356 | − | 0.875699i | −0.302233 | − | 0.0582506i | |||||
3.05516 | − | 12.5935i | 0.202778 | − | 0.835862i | −0.775966 | − | 0.630775i | ||
0.978744 | − | 0.205087i | ||||||||
3.50942 | + | 0.335109i | 0.232417 | + | 0.0221931i | |||||
0.441905 | + | 0.765402i | 0.0292019 | + | 0.0505792i | 0.880257 | − | 0.474497i | ||
−0.851055 | + | 0.525076i | ||||||||
5.82478 | + | 18.3225i | 0.384075 | + | 1.20815i | |||||
0.640327 | − | 0.907361i | 0.0421304 | − | 0.0597000i | |||||
0.545175 | + | 1.19377i | 0.0357925 | + | 0.0783746i | |||||
5.04466 | + | 4.81007i | 0.330487 | + | 0.315118i | 0.837095 | − | 0.547058i | ||
−0.506608 | + | 0.862177i | ||||||||
3.30444 | + | 9.54756i | 0.216018 | + | 0.624144i | |||||
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−0.863292 | + | 2.49432i | −0.0561955 | + | 0.162366i | |||||
0.0688316 | + | 0.478734i | 0.00447109 | + | 0.0310971i | |||||
3.71381 | + | 25.0722i | 0.240730 | + | 1.62519i | |||||
11.6683 | − | 7.49879i | 0.754762 | − | 0.485056i | −0.105809 | − | 0.994386i | ||
0.860571 | + | 0.509330i | ||||||||
11.1029 | − | 4.44494i | 0.716690 | − | 0.286919i | |||||
−8.91891 | − | 12.5249i | −0.574518 | − | 0.806797i | 0.420416 | − | 0.907331i | ||
−0.994934 | + | 0.100534i | ||||||||
10.3628 | + | 14.5524i | 0.666143 | + | 0.935467i | |||||
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−0.880665 | − | 6.12516i | −0.0561492 | − | 0.390526i | |||||
−9.74511 | + | 28.1566i | −0.620066 | + | 1.79156i | |||||
13.5152 | − | 6.96755i | 0.858214 | − | 0.442440i | |||||
−2.90314 | − | 8.38808i | −0.183979 | − | 0.531573i | |||||
11.8976 | + | 11.3443i | 0.752469 | + | 0.717478i | |||||
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0.562444 | − | 0.826835i | ||||||||
0.803433 | + | 1.73964i | 0.0506115 | + | 0.109587i | |||||
−0.0446882 | − | 2.01255i | −0.00280952 | − | 0.126528i | |||||
−6.39184 | − | 11.0710i | −0.401060 | − | 0.694655i | |||||
14.0334 | + | 1.34003i | 0.878806 | + | 0.0839158i | |||||
3.62548 | − | 14.9444i | 0.226592 | − | 0.934027i | |||||
−23.7273 | − | 4.57306i | −1.48007 | − | 0.285260i | −0.615645 | − | 0.788024i | ||
−0.864424 | + | 0.502764i | ||||||||
1.12927 | + | 0.725740i | 0.0703055 | + | 0.0451826i | |||||
20.1993 | − | 2.01557i | 1.25512 | − | 0.125241i | |||||
−1.53244 | − | 10.6583i | −0.0950376 | − | 0.661001i | |||||
0.146938 | + | 0.605688i | 0.00909525 | + | 0.0374911i | |||||
−1.48218 | − | 31.1149i | −0.0915696 | − | 1.92228i | |||||
21.0145 | + | 16.5260i | 1.29581 | + | 1.01904i | 0.997922 | + | 0.0644361i | ||
0.297889 | + | 0.954601i | ||||||||
−0.879843 | + | 0.0840148i | −0.0541506 | + | 0.00517075i | |||||
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−4.92339 | + | 20.6782i | −0.301872 | + | 1.26786i | |||||
2.38950 | − | 1.53564i | 0.146235 | − | 0.0939795i | |||||
−1.96426 | − | 8.09678i | −0.119986 | − | 0.494590i | |||||
−14.5579 | − | 5.82809i | −0.887608 | − | 0.355345i | −0.117360 | − | 0.993089i | ||
−0.770248 | + | 0.637745i | ||||||||
3.93646 | − | 0.758691i | 0.239565 | − | 0.0461724i | |||||
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−0.784879 | + | 0.619649i | ||||||||
18.7153 | − | 21.5986i | 1.13478 | − | 1.30961i | |||||
−15.8893 | + | 3.13260i | −0.961664 | + | 0.189593i | |||||
6.60608 | + | 14.4653i | 0.399088 | + | 0.873880i | |||||
0.188748 | + | 0.326922i | 0.0113820 | + | 0.0197141i | |||||
3.04589 | + | 1.66951i | 0.183341 | + | 0.100493i | |||||
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0.603576 | + | 0.797305i | ||||||||
16.3715 | − | 22.9906i | 0.981899 | − | 1.37888i | |||||
6.92875 | − | 2.03447i | 0.414814 | − | 0.121800i | |||||
3.24604 | + | 13.1361i | 0.193988 | + | 0.785033i | |||||
−15.5930 | − | 10.0210i | −0.930199 | − | 0.597803i | −0.0145992 | − | 0.999893i | ||
−0.915600 | + | 0.402091i | ||||||||
−4.57030 | + | 13.2050i | −0.272157 | + | 0.786347i | |||||
−3.25723 | − | 1.30400i | −0.193622 | − | 0.0775147i | 0.272825 | − | 0.962064i | ||
−0.466447 | + | 0.884549i | ||||||||
6.65254 | − | 6.34318i | 0.394755 | − | 0.376398i | |||||
10.5084 | + | 5.41744i | 0.622462 | + | 0.320902i | |||||
−0.603532 | + | 4.19765i | −0.0356876 | + | 0.248213i | |||||
9.91931 | − | 0.0422112i | 0.585519 | − | 0.00249165i | |||||
1.62671 | − | 3.56200i | 0.0958548 | − | 0.209893i | |||||
15.4919 | − | 6.20201i | 0.911287 | − | 0.364824i | |||||
−0.118887 | − | 2.49575i | −0.00698129 | − | 0.146555i | |||||
4.93395 | − | 4.70451i | 0.289233 | − | 0.275784i | |||||
−2.66385 | + | 2.09488i | −0.155890 | + | 0.122593i | |||||
−9.08147 | − | 10.4806i | −0.530545 | − | 0.612282i | 0.425694 | − | 0.904867i | ||
−0.956239 | + | 0.292585i | ||||||||
−11.0576 | + | 3.34929i | −0.644893 | + | 0.195335i | |||||
−5.79664 | + | 6.68968i | −0.337493 | + | 0.389488i | |||||
−11.6924 | − | 11.1487i | −0.679606 | − | 0.648003i | |||||
−0.417848 | − | 0.0398997i | −0.0242460 | − | 0.00231521i | |||||
−3.87884 | + | 6.71835i | −0.224695 | + | 0.389184i | |||||
−19.7815 | + | 21.6906i | −1.14399 | + | 1.25440i | |||||
−0.651355 | −0.0376060 | |||||||||
−1.40218 | + | 1.63218i | −0.0808203 | + | 0.0940776i | |||||
−2.24015 | + | 0.657766i | −0.128906 | + | 0.0378502i | |||||
−3.50699 | − | 0.675917i | −0.201471 | − | 0.0388304i | |||||
21.3034 | − | 10.9827i | 1.22183 | − | 0.629899i | |||||
−29.4116 | + | 5.66863i | −1.68411 | + | 0.324585i | |||||
7.53024 | − | 5.92184i | 0.430475 | − | 0.338529i | |||||
−4.98939 | − | 1.46502i | −0.284760 | − | 0.0836130i | 0.136234 | − | 0.990677i | ||
−0.420993 | + | 0.907064i | ||||||||
−0.0348522 | + | 0.803571i | −0.00198589 | + | 0.0457877i | |||||
−2.83022 | + | 19.6846i | −0.161006 | + | 1.11982i | |||||
−28.8183 | + | 2.75181i | −1.63677 | + | 0.156292i | |||||
15.3205 | + | 21.5146i | 0.868743 | + | 1.21998i | 0.974230 | + | 0.225558i | ||
−0.105487 | + | 0.994421i | ||||||||
10.1315 | + | 7.96752i | 0.573584 | + | 0.451072i | |||||
−23.8271 | − | 12.2837i | −1.34679 | − | 0.694317i | −0.374308 | − | 0.927305i | ||
−0.972480 | + | 0.232987i | ||||||||
−7.82611 | − | 2.29795i | −0.441653 | − | 0.129681i | |||||
0.333081 | + | 6.41751i | 0.0187670 | + | 0.361586i | |||||
−0.229393 | − | 0.264734i | −0.0129044 | − | 0.0148924i | |||||
0.409460 | − | 8.59563i | 0.0229976 | − | 0.482779i | −0.957762 | − | 0.287561i | ||
0.980760 | − | 0.195218i | ||||||||
2.11938 | + | 6.12354i | 0.118849 | + | 0.343391i | |||||
−0.0616772 | + | 0.254237i | −0.00345326 | + | 0.0142345i | |||||
4.76857 | − | 6.69652i | 0.266571 | − | 0.374347i | |||||
3.36868 | 0.188021 | |||||||||
−12.5060 | + | 16.7990i | −0.696934 | + | 0.936169i | |||||
28.2517 | 1.57197 | |||||||||
0.420112 | − | 0.589964i | 0.0233395 | − | 0.0327758i | |||||
1.29786 | − | 5.34986i | 0.0719924 | − | 0.296757i | |||||
4.73306 | + | 13.6753i | 0.262140 | + | 0.757403i | |||||
0.511228 | − | 10.7320i | 0.0282710 | − | 0.593481i | |||||
−5.16978 | − | 5.96625i | −0.285453 | − | 0.329431i | |||||
−19.9527 | − | 10.1791i | −1.10003 | − | 0.561190i | |||||
1.61457 | + | 0.474081i | 0.0888792 | + | 0.0260973i | |||||
−14.5591 | − | 7.50576i | −0.800242 | − | 0.412554i | 0.00905041 | − | 0.999959i | ||
−0.809293 | + | 0.587405i | ||||||||
5.05331 | + | 3.97397i | 0.277337 | + | 0.218100i | |||||
−4.45050 | − | 6.24985i | −0.243886 | − | 0.342489i | |||||
−21.5598 | + | 2.05871i | −1.17970 | + | 0.112648i | |||||
3.97638 | − | 27.6563i | 0.217253 | − | 1.51103i | |||||
10.9894 | + | 6.99655i | 0.599520 | + | 0.381693i | |||||
19.4752 | + | 5.71843i | 1.06088 | + | 0.311503i | 0.765206 | − | 0.643786i | ||
0.295675 | + | 0.955289i | ||||||||
31.7463 | − | 24.9655i | 1.72677 | − | 1.35795i | |||||
−2.75278 | + | 0.530555i | −0.149511 | + | 0.0288158i | |||||
−9.07507 | + | 4.67852i | −0.492165 | + | 0.253728i | |||||
2.97634 | + | 0.573643i | 0.161178 | + | 0.0310645i | |||||
7.70865 | − | 2.26346i | 0.416836 | − | 0.122394i | |||||
−2.86952 | − | 18.2966i | −0.154939 | − | 0.987924i | |||||
1.71252 | 0.0923327 | |||||||||
7.40204 | + | 8.99414i | 0.398512 | + | 0.484228i | |||||
−5.23342 | + | 9.06454i | −0.281350 | + | 0.487313i | |||||
18.8789 | + | 1.80271i | 1.01347 | + | 0.0967748i | 0.588555 | − | 0.808457i | ||
0.424917 | + | 0.905232i | ||||||||
−0.326693 | − | 0.311501i | −0.0175126 | − | 0.0166982i | |||||
1.30868 | − | 1.51030i | 0.0700522 | − | 0.0808445i | −0.719642 | − | 0.694346i | ||
0.789694 | + | 0.613501i | ||||||||
0.542370 | − | 3.88970i | 0.0289909 | − | 0.207913i | |||||
4.00853 | + | 4.62609i | 0.213959 | + | 0.246922i | |||||
1.29202 | − | 1.01606i | 0.0688649 | − | 0.0541559i | |||||
−22.4209 | + | 21.3783i | −1.19335 | + | 1.13785i | −0.206119 | + | 0.978527i | ||
−0.987226 | + | 0.159326i | ||||||||
0.286215 | + | 6.00838i | 0.0152121 | + | 0.319342i | |||||
28.6178 | − | 11.4568i | 1.51887 | − | 0.608065i | |||||
−0.854587 | + | 1.87128i | −0.0452930 | + | 0.0991778i | |||||
7.73458 | + | 13.2660i | 0.409358 | + | 0.702111i | |||||
3.56613 | − | 24.8030i | 0.188476 | − | 1.31088i | |||||
−11.6998 | − | 6.03167i | −0.617492 | − | 0.318339i | 0.120947 | − | 0.992659i | ||
−0.738440 | + | 0.674319i | ||||||||
3.70141 | − | 3.52929i | 0.195081 | − | 0.186010i | |||||
4.35708 | + | 1.74431i | 0.229320 | + | 0.0918058i | |||||
6.73668 | − | 19.4644i | 0.354072 | − | 1.02302i | |||||
9.10557 | + | 5.85179i | 0.477918 | + | 0.307140i | |||||
8.45451 | − | 8.13033i | 0.443137 | − | 0.426145i | |||||
−10.9045 | + | 3.20186i | −0.570770 | + | 0.167593i | |||||
−11.8068 | + | 16.5803i | −0.617151 | + | 0.866668i | |||||
9.17583 | − | 15.8930i | 0.478974 | − | 0.829608i | −0.520735 | − | 0.853718i | ||
0.999709 | + | 0.0241105i | ||||||||
23.5570 | − | 1.64698i | 1.22799 | − | 0.0858547i | |||||
−1.87459 | − | 3.24689i | −0.0975873 | − | 0.169026i | |||||
12.7775 | + | 27.9788i | 0.664271 | + | 1.45455i | |||||
−10.1909 | + | 2.00916i | −0.529088 | + | 0.104310i | |||||
−3.42497 | + | 3.95262i | −0.177576 | + | 0.204934i | |||||
−0.347852 | + | 7.30231i | −0.0180111 | + | 0.378099i | 0.971808 | + | 0.235772i | ||
−0.989820 | + | 0.142328i | ||||||||
3.94845 | − | 0.761001i | 0.204169 | − | 0.0393504i | |||||
9.24646 | + | 3.70173i | 0.477485 | + | 0.191156i | |||||
4.20279 | + | 17.3241i | 0.216742 | + | 0.893423i | |||||
3.20944 | − | 2.06259i | 0.165295 | − | 0.106229i | |||||
3.17327 | + | 3.00003i | 0.163215 | + | 0.154305i | |||||
2.08203 | − | 4.55902i | 0.106947 | − | 0.234181i | −0.848591 | − | 0.529050i | ||
0.955538 | + | 0.294868i | ||||||||
−8.52388 | + | 0.813932i | −0.437266 | + | 0.0417538i | |||||
−6.08812 | − | 4.78775i | −0.311904 | − | 0.245284i | |||||
−0.0395851 | − | 0.830994i | −0.00202535 | − | 0.0425174i | |||||
−7.01417 | − | 28.9128i | −0.358407 | − | 1.47737i | −0.810677 | − | 0.585493i | ||
0.452270 | − | 0.891881i | ||||||||
−1.90961 | − | 13.2817i | −0.0974496 | − | 0.677777i | |||||
−1.11008 | + | 2.45836i | −0.0565747 | + | 0.125290i | |||||
33.4583 | + | 21.5023i | 1.70298 | + | 1.09444i | |||||
0.798597 | + | 0.153917i | 0.0405950 | + | 0.00782404i | |||||
−1.16407 | + | 4.79835i | −0.0590966 | + | 0.243599i | |||||
24.5506 | + | 2.34430i | 1.24477 | + | 0.118861i | 0.696570 | − | 0.717489i | ||
0.548197 | + | 0.836350i | ||||||||
−12.2696 | − | 21.2517i | −0.621298 | − | 1.07612i | |||||
25.5704 | + | 10.9983i | 1.29315 | + | 0.556207i | |||||
−9.55721 | + | 11.2212i | −0.482712 | + | 0.566754i | |||||
−7.84004 | − | 17.1673i | −0.395478 | − | 0.865975i | |||||
−22.6581 | − | 21.6044i | −1.14150 | − | 1.08841i | |||||
−0.384217 | − | 1.11012i | −0.0193321 | − | 0.0558564i | |||||
0.270212 | − | 0.139304i | 0.0135787 | − | 0.00700029i | |||||
11.3013 | − | 32.6530i | 0.567196 | − | 1.63881i | −0.187152 | − | 0.982331i | ||
0.754348 | − | 0.656475i | ||||||||
−2.79511 | − | 19.4404i | −0.140106 | − | 0.974461i | |||||
1.88701 | + | 12.7394i | 0.0944689 | + | 0.637767i | |||||
−3.72534 | + | 2.39413i | −0.186267 | + | 0.119707i | |||||
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−0.0760469 | + | 0.997104i | ||||||||
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2.40142 | − | 0.961385i | 0.119475 | − | 0.0478307i | |||||
2.04328 | − | 1.31314i | 0.101532 | − | 0.0652504i | |||||
2.13222 | − | 1.69153i | 0.105820 | − | 0.0839493i | |||||
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3.99721 | − | 11.5492i | 0.197891 | − | 0.571770i | |||||
14.4558 | − | 7.45248i | 0.714793 | − | 0.368501i | −0.0621547 | − | 0.998067i | ||
0.776948 | + | 0.629565i | ||||||||
4.91587 | + | 14.2035i | 0.242778 | + | 0.701460i | |||||
6.97294 | + | 6.64869i | 0.343950 | + | 0.327956i | |||||
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7.85819 | + | 0.952307i | 0.386209 | + | 0.0468033i | |||||
10.7796 | + | 18.6708i | 0.529149 | + | 0.916513i | |||||
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4.03146 | − | 16.6179i | 0.197422 | − | 0.813783i | |||||
3.31136 | + | 0.638212i | 0.161964 | + | 0.0312160i | |||||
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0.402832 | + | 8.45649i | 0.0195864 | + | 0.411169i | |||||
6.49807 | + | 5.11014i | 0.315574 | + | 0.248170i | |||||
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0.234292 | − | 4.91839i | 0.0112724 | − | 0.236636i | |||||
20.9897 | − | 24.2234i | 1.00870 | − | 1.16410i | 0.0222986 | − | 0.999751i | ||
0.986402 | − | 0.164351i | ||||||||
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3.89078 | + | 6.73904i | 0.186335 | + | 0.322741i | |||||
16.4803 | + | 16.5331i | 0.788361 | + | 0.790886i | |||||
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2.05977 | − | 0.604804i | 0.0981959 | − | 0.0288329i | |||||
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5.15884 | + | 2.06529i | 0.244828 | + | 0.0980142i | |||||
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30.6455 | + | 15.7988i | 1.45111 | + | 0.748097i | |||||
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8.95491 | − | 0.0381072i | 0.423080 | − | 0.00180040i | |||||
10.1949 | − | 22.3237i | 0.481127 | − | 1.05352i | −0.501025 | − | 0.865433i | ||
0.982152 | − | 0.188088i | ||||||||
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1.46948 | − | 1.40115i | 0.0691187 | − | 0.0659046i | |||||
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14.0068 | + | 16.1647i | 0.657371 | + | 0.758647i | |||||
36.4555 | − | 14.7749i | 1.70906 | − | 0.692657i | |||||
6.71194 | − | 7.74599i | 0.314315 | − | 0.362739i | |||||
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2.90203 | − | 5.02647i | 0.135455 | − | 0.234616i | |||||
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0.606882 | + | 1.72962i | 0.0282347 | + | 0.0804692i | |||||
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0.111611 | + | 0.993752i | ||||||||
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0.572815 | + | 0.819685i | ||||||||
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26.9929 | − | 14.0615i | 1.24641 | − | 0.649300i | |||||
4.83013 | − | 33.5943i | 0.222797 | − | 1.54959i | |||||
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4.45126 | + | 6.25092i | 0.204886 | + | 0.287722i | |||||
0.268342 | + | 0.211027i | 0.0123384 | + | 0.00970302i | |||||
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2.57096 | + | 2.96704i | 0.117716 | + | 0.135852i | |||||
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0.765336 | − | 0.643631i | ||||||||
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25.3785 | 1.15596 | |||||||||
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−7.83925 | −0.356329 | |||||||||
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0.389128 | − | 1.60401i | 0.0176512 | − | 0.0727592i | |||||
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0.739581 | − | 0.673068i | ||||||||
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5.74154 | + | 6.62609i | 0.259641 | + | 0.299642i | |||||
24.8325 | − | 13.0707i | 1.12182 | − | 0.590475i | |||||
20.1655 | + | 5.92112i | 0.910055 | + | 0.267216i | 0.703064 | − | 0.711127i | ||
0.206991 | + | 0.978343i | ||||||||
2.41353 | + | 1.24426i | 0.108810 | + | 0.0560955i | |||||
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1.01489 | − | 0.0969105i | 0.0456160 | − | 0.00435580i | |||||
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28.3251 | + | 18.0336i | 1.27056 | + | 0.808918i | |||||
14.0571 | + | 4.12754i | 0.629915 | + | 0.184960i | |||||
9.68328 | − | 7.61501i | 0.433483 | − | 0.340895i | −0.377454 | − | 0.926028i | ||
0.810937 | + | 0.585134i | ||||||||
−7.08320 | + | 1.36518i | −0.316770 | + | 0.0610525i | |||||
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26.6252 | + | 5.13159i | 1.18834 | + | 0.229034i | |||||
23.4080 | − | 6.87321i | 1.04371 | − | 0.306461i | 0.285437 | − | 0.958397i | ||
0.758274 | + | 0.651936i | ||||||||
5.47479 | + | 1.03104i | 0.243867 | + | 0.0459260i | |||||
8.67473 | 0.386020 | |||||||||
2.74862 | + | 1.86674i | 0.122191 | + | 0.0829866i | |||||
12.2345 | − | 21.1908i | 0.543354 | − | 0.941116i | |||||
5.58412 | + | 0.533219i | 0.247755 | + | 0.0236578i | |||||
6.92361 | + | 6.60165i | 0.306883 | + | 0.292613i | 0.827833 | − | 0.560975i | ||
−0.520949 | + | 0.853588i | ||||||||
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−0.952643 | − | 1.09941i | −0.0421013 | − | 0.0485875i | |||||
3.82617 | − | 3.00893i | 0.168930 | − | 0.132848i | |||||
28.8650 | − | 27.5227i | 1.27318 | − | 1.21398i | |||||
−2.29834 | − | 48.2481i | −0.101277 | − | 2.12607i | |||||
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0.116649 | + | 0.993173i | ||||||||
−0.955017 | − | 0.382331i | −0.0418000 | − | 0.0167342i | |||||
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−0.692271 | + | 0.721638i | ||||||||
11.4989 | + | 7.38991i | 0.502333 | + | 0.322830i | |||||
−0.570807 | − | 2.30995i | −0.0249120 | − | 0.100814i | |||||
−42.3383 | + | 12.4316i | −1.84604 | + | 0.542046i | |||||
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1.03341 | − | 1.78993i | 0.0449736 | − | 0.0778966i | |||||
8.47991 | + | 21.3797i | 0.368692 | + | 0.929552i | |||||
−7.86940 | − | 13.6302i | −0.341825 | − | 0.592058i | |||||
1.51394 | + | 3.31506i | 0.0656993 | + | 0.143861i | |||||
−6.13802 | − | 7.02304i | −0.266117 | − | 0.304487i | |||||
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−0.223072 | + | 4.68287i | −0.00965329 | + | 0.202647i | |||||
−8.03417 | + | 1.54846i | −0.347348 | + | 0.0669458i | |||||
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−3.57924 | − | 14.7538i | −0.154455 | − | 0.636674i | |||||
21.7735 | − | 13.9930i | 0.938723 | − | 0.603281i | |||||
−2.88031 | + | 0.580601i | −0.124064 | + | 0.0250082i | |||||
−0.730765 | + | 1.60015i | −0.0314471 | + | 0.0688596i | |||||
31.3950 | − | 2.99786i | 1.34978 | − | 0.128888i | 0.605013 | − | 0.796215i | ||
0.744765 | + | 0.667327i | ||||||||
−28.0342 | − | 22.0463i | −1.20417 | − | 0.946972i | |||||
−0.593780 | − | 12.4650i | −0.0254815 | − | 0.534923i | |||||
5.35832 | + | 22.0873i | 0.229736 | + | 0.946985i | |||||
3.71386 | + | 25.8304i | 0.159084 | + | 1.10645i | |||||
11.0007 | − | 24.3621i | 0.470788 | − | 1.04260i | |||||
−16.9316 | − | 10.8813i | −0.723942 | − | 0.465250i | 0.126064 | − | 0.992022i | ||
−0.850006 | + | 0.526773i | ||||||||
−6.85190 | − | 1.32060i | −0.292699 | − | 0.0564131i | |||||
−2.90741 | + | 11.9845i | −0.124085 | + | 0.511486i | |||||
−0.620250 | − | 0.0592267i | −0.0264475 | − | 0.00252543i | |||||
−1.51687 | − | 2.62730i | −0.0646210 | − | 0.111927i | |||||
9.09039 | − | 4.39789i | 0.386913 | − | 0.187187i | |||||
0.737819 | − | 1.04551i | 0.0313753 | − | 0.0444596i | |||||
−8.87133 | − | 19.4255i | −0.376907 | − | 0.825311i | |||||
13.4871 | + | 12.8599i | 0.572495 | + | 0.545873i | |||||
4.05067 | + | 11.7036i | 0.171787 | + | 0.496345i | |||||
8.52210 | − | 4.39345i | 0.361093 | − | 0.186156i | −0.268127 | − | 0.963384i | ||
0.629220 | + | 0.777227i | ||||||||
−3.89830 | + | 11.2634i | −0.165028 | + | 0.476818i | |||||
−0.708491 | − | 4.92766i | −0.0299660 | − | 0.208418i | |||||
−29.4253 | − | 11.6351i | −1.24345 | − | 0.491672i | |||||
2.04950 | − | 1.31714i | 0.0865302 | − | 0.0556096i | |||||
28.4018 | − | 11.3704i | 1.19806 | − | 0.479631i | |||||
22.0782 | + | 31.0044i | 0.930484 | + | 1.30668i | 0.951739 | + | 0.306908i | ||
−0.0212554 | + | 0.999774i | ||||||||
−3.55670 | − | 4.99469i | −0.149764 | − | 0.210314i | |||||
6.32141 | − | 2.53071i | 0.265944 | − | 0.106468i | |||||
4.87169 | − | 3.13085i | 0.204772 | − | 0.131599i | |||||
2.46039 | + | 0.972865i | 0.103327 | + | 0.0408565i | |||||
−3.80322 | − | 26.4519i | −0.159579 | − | 1.10990i | |||||
10.9849 | − | 31.7389i | 0.460513 | − | 1.33056i | −0.440882 | − | 0.897565i | ||
0.901395 | − | 0.432999i | ||||||||
−17.3444 | + | 8.94167i | −0.726478 | + | 0.374525i | |||||
12.5645 | + | 36.3028i | 0.525808 | + | 1.51922i | 0.825058 | + | 0.565049i | ||
−0.299249 | + | 0.954175i | ||||||||
−1.34679 | − | 1.28416i | −0.0563120 | − | 0.0536934i | |||||
−0.209386 | − | 0.458492i | −0.00874724 | − | 0.0191538i | |||||
−9.44003 | + | 13.3768i | −0.394019 | + | 0.558336i | |||||
−3.32151 | − | 2.75141i | −0.138516 | − | 0.114742i | |||||
−1.69233 | − | 2.93121i | −0.0705139 | − | 0.122134i | |||||
−27.3802 | − | 2.61449i | −1.13985 | − | 0.108843i | −0.491990 | − | 0.870601i | ||
−0.647862 | + | 0.761758i | ||||||||
−6.49346 | + | 26.7664i | −0.270092 | + | 1.11334i | |||||
23.6610 | + | 4.56028i | 0.983316 | + | 0.189519i | |||||
0.922337 | + | 0.592750i | 0.0382980 | + | 0.0246126i | |||||
−9.66478 | + | 21.4035i | −0.400962 | + | 0.887966i | |||||
1.60137 | + | 11.1377i | 0.0663787 | + | 0.461674i | |||||
0.388511 | + | 1.60146i | 0.0160905 | + | 0.0663259i | |||||
0.468805 | + | 9.84143i | 0.0193993 | + | 0.407241i | |||||
−11.6866 | − | 9.19048i | −0.483183 | − | 0.379979i | |||||
22.7856 | − | 2.17576i | 0.941265 | − | 0.0898799i | |||||
−18.7751 | + | 41.1118i | −0.774932 | + | 1.69686i | −0.0594508 | + | 0.998231i | ||
−0.715481 | + | 0.698632i | ||||||||
1.61734 | − | 4.80492i | 0.0666979 | − | 0.198152i | |||||
−29.5701 | + | 19.0035i | −1.21841 | + | 0.783027i | |||||
−3.44445 | − | 14.1982i | −0.141806 | − | 0.584531i | |||||
−17.6092 | − | 7.04966i | −0.724346 | − | 0.289984i | |||||
37.0965 | − | 7.14976i | 1.52466 | − | 0.293853i | |||||
0.00432666 | − | 0.0908278i | 0.000177675 | − | 0.00372985i | −0.998777 | − | 0.0494468i | ||
0.998954 | + | 0.0457169i | ||||||||
0.453694 | − | 0.523590i | 0.0186153 | − | 0.0214832i | |||||
−24.5446 | − | 28.0836i | −1.00623 | − | 1.15132i | |||||
−1.41411 | − | 3.09648i | −0.0579244 | − | 0.126837i | |||||
−5.94970 | − | 10.3052i | −0.243505 | − | 0.421763i | |||||
−10.2238 | − | 47.3625i | −0.418082 | − | 1.93680i | |||||
−6.93932 | + | 12.0193i | −0.283533 | + | 0.491093i | −0.972252 | − | 0.233935i | ||
0.688719 | + | 0.725028i | ||||||||
−1.09845 | + | 1.54256i | −0.0448441 | + | 0.0629747i | |||||
−20.4507 | + | 6.00486i | −0.834200 | + | 0.244943i | −0.670820 | − | 0.741620i | ||
−0.163380 | + | 0.986563i | ||||||||
−0.851996 | − | 3.44787i | −0.0347248 | − | 0.140525i | |||||
−9.67750 | − | 6.21935i | −0.394098 | − | 0.253272i | |||||
0.335075 | − | 0.968137i | 0.0136340 | − | 0.0393929i | |||||
−24.4063 | − | 9.77081i | −0.992257 | − | 0.397240i | |||||
4.26636 | − | 4.06797i | 0.173309 | − | 0.165250i | |||||
5.67239 | + | 2.92432i | 0.230235 | + | 0.118695i | 0.569485 | − | 0.822002i | ||
−0.339249 | + | 0.940696i | ||||||||
−2.71263 | + | 18.8668i | −0.110012 | + | 0.765148i | |||||
0.818407 | − | 1.43156i | 0.0331635 | − | 0.0580096i | |||||
20.5374 | − | 44.9706i | 0.831535 | − | 1.82081i | |||||
48.1104 | − | 19.2605i | 1.94634 | − | 0.779196i | |||||
0.200018 | + | 4.19889i | 0.00808524 | + | 0.169730i | |||||
14.9884 | − | 14.2914i | 0.605376 | − | 0.577225i | −0.324139 | − | 0.946010i | ||
0.929515 | + | 0.368784i | ||||||||
6.74655 | − | 5.30555i | 0.272269 | − | 0.214115i | |||||
5.96331 | + | 6.88202i | 0.240464 | + | 0.277510i | |||||
1.84427 | + | 1.43769i | 0.0743077 | + | 0.0579261i | |||||
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0.604447 | + | 0.796645i | ||||||||
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22.9858 | + | 2.19487i | 0.923876 | + | 0.0882195i | 0.546140 | − | 0.837694i | ||
0.377736 | + | 0.925913i | ||||||||
6.35154 | − | 11.0012i | 0.255084 | − | 0.441818i | |||||
4.63440 | − | 1.23384i | 0.185972 | − | 0.0495125i | |||||
−43.5938 | −1.74795 | |||||||||
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39.3274 | − | 20.2747i | 1.57184 | − | 0.810340i | |||||
2.00624 | − | 0.386670i | 0.0801213 | − | 0.0154421i | |||||
2.81336 | − | 2.21245i | 0.112265 | − | 0.0882865i | |||||
42.7280 | + | 12.5461i | 1.70368 | + | 0.500244i | |||||
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−0.999974 | + | 0.00721280i | ||||||||
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11.1647 | + | 8.78000i | 0.443406 | + | 0.348698i | |||||
16.7207 | + | 8.62012i | 0.663541 | + | 0.342079i | |||||
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36.2422 | + | 22.8580i | 1.43597 | + | 0.905665i | |||||
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0.603887 | − | 12.6772i | 0.0238894 | − | 0.501501i | |||||
10.6595 | + | 30.7985i | 0.421352 | + | 1.21742i | |||||
9.86705 | − | 40.6725i | 0.389725 | − | 1.60647i | −0.352160 | − | 0.935940i | ||
0.741884 | − | 0.670528i | ||||||||
−3.22518 | + | 4.52914i | −0.127288 | + | 0.178751i | |||||
12.0368 | 0.474684 | 0.237342 | − | 0.971426i | ||||||
0.237342 | + | 0.971426i | ||||||||
−2.82142 | − | 8.74599i | −0.111180 | − | 0.344640i | |||||
−1.97538 | −0.0777803 | |||||||||
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−0.998068 | + | 0.0621386i | ||||||||
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5.95022 | + | 6.86692i | 0.233387 | + | 0.269343i | |||||
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−6.09278 | − | 1.78900i | −0.238612 | − | 0.0700627i | |||||
16.0481 | + | 8.27334i | 0.628009 | + | 0.323761i | 0.742684 | − | 0.669642i | ||
−0.114675 | + | 0.993403i | ||||||||
13.9396 | + | 10.9622i | 0.545080 | + | 0.428656i | |||||
26.5894 | + | 37.3396i | 1.03893 | + | 1.45898i | |||||
18.3773 | − | 1.75482i | 0.717511 | − | 0.0685140i | |||||
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32.7883 | − | 17.0806i | 1.27822 | − | 0.665870i | |||||
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−0.778715 | + | 0.627378i | ||||||||
24.0303 | − | 12.3885i | 0.933965 | − | 0.481493i | |||||
−34.8858 | − | 6.72369i | −1.35485 | − | 0.261126i | |||||
17.9332 | − | 5.26567i | 0.695945 | − | 0.204348i | |||||
−10.3563 | − | 29.5156i | −0.401600 | − | 1.14457i | |||||
12.6637 | 0.490710 | |||||||||
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4.75178 | − | 8.23032i | 0.183852 | − | 0.318441i | |||||
20.7946 | + | 1.98564i | 0.803964 | + | 0.0767693i | |||||
33.3765 | + | 31.8245i | 1.28945 | + | 1.22949i | |||||
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−9.60180 | + | 3.89147i | −0.370397 | + | 0.150117i | |||||
29.3431 | + | 33.8637i | 1.13109 | + | 1.30535i | 0.946562 | + | 0.322523i | ||
0.184530 | + | 0.982827i | ||||||||
−26.3339 | + | 20.7092i | −1.01435 | + | 0.797690i | |||||
−0.650883 | + | 0.620615i | −0.0250525 | + | 0.0238875i | |||||
0.843243 | + | 17.7018i | 0.0324324 | + | 0.680840i | |||||
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0.275544 | + | 0.961288i | ||||||||
1.92220 | − | 4.20903i | 0.0738216 | − | 0.161647i | |||||
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11.5183 | + | 5.93807i | 0.441381 | + | 0.227548i | |||||
−3.62081 | + | 3.45244i | −0.138648 | + | 0.132201i | |||||
14.7102 | + | 5.88909i | 0.562871 | + | 0.225340i | 0.635609 | − | 0.772012i | ||
−0.0727374 | + | 0.997351i | ||||||||
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27.3468 | + | 13.6592i | 1.04411 | + | 0.521511i | |||||
−0.848009 | + | 0.248998i | −0.0323536 | + | 0.00949987i | |||||
−2.32292 | + | 3.26208i | −0.0885604 | + | 0.124366i | |||||
12.0158 | − | 20.8119i | 0.457765 | − | 0.792872i | |||||
−19.1792 | + | 1.34091i | −0.730141 | + | 0.0510475i | |||||
1.30635 | + | 2.26266i | 0.0496957 | + | 0.0860755i | 0.889803 | − | 0.456344i | ||
−0.840107 | + | 0.542420i | ||||||||
−1.90795 | − | 4.17783i | −0.0725294 | − | 0.158817i | |||||
0.730821 | + | 0.836196i | 0.0277616 | + | 0.0317645i | |||||
−20.4984 | + | 23.6564i | −0.778110 | + | 0.897986i | |||||
−1.97623 | + | 41.4862i | −0.0749628 | + | 1.57366i | |||||
−1.28865 | + | 0.248366i | −0.0488460 | + | 0.00941429i | |||||
20.2018 | + | 8.08757i | 0.765196 | + | 0.306338i | |||||
0.777639 | + | 3.20547i | 0.0294341 | + | 0.121329i | |||||
−5.86381 | + | 3.76844i | −0.221790 | + | 0.142536i | |||||
1.25228 | + | 1.18391i | 0.0473316 | + | 0.0447476i | |||||
−10.2584 | + | 22.4628i | −0.387455 | + | 0.848408i | 0.610935 | + | 0.791681i | ||
−0.998390 | + | 0.0567272i | ||||||||
−10.0575 | + | 0.960373i | −0.379595 | + | 0.0362470i | |||||
29.3564 | + | 23.0861i | 1.10720 | + | 0.870708i | |||||
−0.0676001 | − | 1.41910i | −0.00254777 | − | 0.0534844i | |||||
−4.84788 | − | 19.9833i | −0.182582 | − | 0.752613i | |||||
−7.27694 | − | 50.6122i | −0.273871 | − | 1.90482i | |||||
5.51388 | + | 7.67384i | 0.207371 | + | 0.288605i | |||||
−2.22048 | − | 1.42702i | −0.0834507 | − | 0.0536305i | |||||
35.8104 | + | 6.90189i | 1.34489 | + | 0.259206i | 0.810354 | − | 0.585941i | ||
0.534534 | + | 0.845147i | ||||||||
−11.9952 | + | 49.4450i | −0.450173 | + | 1.85564i | |||||
−0.481467 | − | 0.0459745i | −0.0180564 | − | 0.00172418i | |||||
2.99045 | + | 5.17961i | 0.112072 | + | 0.194114i | |||||
−34.1616 | + | 5.68841i | −1.27936 | + | 0.213033i | |||||
−25.2410 | − | 2.30188i | −0.944622 | − | 0.0861457i | |||||
−2.59244 | − | 5.67666i | −0.0969519 | − | 0.212295i | |||||
7.95784 | + | 7.58779i | 0.297399 | + | 0.283569i | |||||
4.53649 | + | 13.1073i | 0.169418 | + | 0.489502i | |||||
19.3109 | − | 9.95547i | 0.720677 | − | 0.371535i | |||||
2.18837 | − | 6.32287i | 0.0816123 | − | 0.235803i | −0.896811 | − | 0.442414i | ||
0.978423 | + | 0.206611i | ||||||||
1.70203 | + | 11.8379i | 0.0634309 | + | 0.441172i | |||||
41.2204 | − | 32.7009i | 1.53513 | − | 1.21785i | |||||
−6.51668 | + | 4.18801i | −0.242526 | + | 0.155862i | |||||
14.2745 | − | 5.71465i | 0.530875 | − | 0.212530i | |||||
5.24262 | + | 7.36223i | 0.194840 | + | 0.273615i | |||||
0.325133 | + | 0.456586i | 0.0120751 | + | 0.0169572i | |||||
−16.5853 | + | 6.63977i | −0.615540 | + | 0.246425i | |||||
16.0819 | − | 10.3352i | 0.596443 | − | 0.383311i | −0.207309 | − | 0.978276i | ||
0.803752 | + | 0.594965i | ||||||||
−4.99673 | − | 33.7333i | −0.185191 | − | 1.25024i | |||||
−0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | |||||
6.13519 | − | 17.7265i | 0.227073 | − | 0.656086i | |||||
−4.19568 | + | 2.16302i | −0.155183 | + | 0.0800022i | |||||
−2.92126 | − | 8.44041i | −0.107973 | − | 0.311967i | |||||
−17.3366 | − | 16.5304i | −0.640343 | − | 0.610566i | 0.298707 | − | 0.954345i | ||
−0.939051 | + | 0.343779i | ||||||||
12.5829 | + | 27.5528i | 0.464444 | + | 1.01699i | |||||
11.0242 | − | 12.9435i | 0.406633 | − | 0.477430i | |||||
−9.79993 | + | 16.0201i | −0.361230 | + | 0.590509i | |||||
−2.41432 | − | 4.18173i | −0.0889328 | − | 0.154036i | |||||
6.16013 | + | 0.588221i | 0.226757 | + | 0.0216527i | |||||
−1.75981 | + | 7.25403i | −0.0647356 | + | 0.266844i | −0.994977 | − | 0.100104i | ||
0.930241 | + | 0.366948i | ||||||||
−13.2530 | − | 2.55430i | −0.487189 | − | 0.0938980i | |||||
−25.0654 | − | 16.1086i | −0.920802 | − | 0.591764i | |||||
7.05556 | − | 15.6251i | 0.259018 | − | 0.573617i | |||||
−0.222916 | − | 1.55042i | −0.00817801 | − | 0.0568793i | 0.985324 | − | 0.170696i | ||
−0.993502 | + | 0.113816i | ||||||||
3.58483 | + | 14.7769i | 0.131426 | + | 0.541746i | |||||
−0.543190 | − | 11.4030i | −0.0199009 | − | 0.417772i | |||||
−9.48481 | − | 7.45894i | −0.347264 | − | 0.273091i | |||||
8.83607 | − | 0.843743i | 0.323295 | − | 0.0308709i | |||||
−0.732991 | + | 1.60503i | −0.0268008 | + | 0.0586855i | |||||
−6.47653 | − | 6.12295i | −0.236647 | − | 0.223728i | |||||
−13.8295 | + | 8.88768i | −0.504982 | + | 0.324532i | |||||
−4.98511 | − | 20.5489i | −0.181909 | − | 0.749840i | −0.987533 | − | 0.157413i | ||
0.805624 | − | 0.592428i | ||||||||
−38.7006 | − | 15.4934i | −1.41127 | − | 0.564986i | |||||
16.1313 | − | 3.10905i | 0.587856 | − | 0.113300i | |||||
−0.299619 | + | 6.28977i | −0.0109115 | + | 0.229060i | |||||
2.24989 | − | 2.59651i | 0.0818819 | − | 0.0944967i | |||||
−1.88002 | + | 0.370649i | −0.0683757 | + | 0.0134804i | |||||
5.80833 | + | 12.7185i | 0.211107 | + | 0.462260i | 0.985332 | − | 0.170651i | ||
−0.774224 | + | 0.632911i | ||||||||
4.13618 | + | 7.16408i | 0.150233 | + | 0.260211i | |||||
1.96635 | + | 0.431048i | 0.0713741 | + | 0.0156460i | |||||
−12.4472 | + | 21.5591i | −0.451506 | + | 0.782032i | |||||
1.04304 | − | 1.46475i | 0.0378103 | − | 0.0530971i | −0.795238 | − | 0.606297i | ||
0.833048 | + | 0.553200i | ||||||||
12.2658 | − | 3.60158i | 0.444345 | − | 0.130471i | |||||
−20.4895 | + | 19.7038i | −0.741770 | + | 0.713327i | |||||
0.307105 | + | 0.197364i | 0.0111107 | + | 0.00714039i | |||||
−4.61076 | + | 13.3219i | −0.166702 | + | 0.481655i | |||||
45.5882 | + | 18.2508i | 1.64717 | + | 0.659426i | |||||
16.1451 | − | 15.3943i | 0.582966 | − | 0.555857i | |||||
13.6684 | + | 7.04657i | 0.493217 | + | 0.254271i | |||||
4.97179 | − | 34.5796i | 0.179287 | − | 1.24697i | −0.679129 | − | 0.734019i | ||
0.858417 | − | 0.512953i | ||||||||
−2.24243 | − | 3.84612i | −0.0808117 | − | 0.138605i | |||||
10.0381 | − | 21.9803i | 0.361513 | − | 0.791602i | |||||
−16.2019 | + | 6.48627i | −0.583120 | + | 0.233446i | |||||
1.27081 | + | 26.6776i | 0.0457079 | + | 0.959527i | 0.898961 | + | 0.438030i | ||
−0.853253 | + | 0.521498i | ||||||||
−0.971519 | + | 0.926341i | −0.0349205 | + | 0.0332966i | |||||
5.10492 | − | 4.01455i | 0.183374 | − | 0.144207i | |||||
9.40051 | + | 10.8488i | 0.337459 | + | 0.389448i | |||||
−2.80340 | + | 20.1051i | −0.100571 | + | 0.721265i | |||||
−26.6567 | + | 30.7635i | −0.955690 | + | 1.10293i | |||||
13.2077 | + | 12.5935i | 0.473216 | + | 0.451210i | |||||
10.7192 | + | 1.02356i | 0.383808 | + | 0.0366492i | |||||
2.66363 | − | 4.61354i | 0.0953121 | − | 0.165085i | |||||
−39.2682 | + | 23.8492i | −1.40423 | + | 0.852845i | |||||
−0.623257 | −0.0222734 | |||||||||
−8.41087 | − | 33.4258i | −0.300388 | − | 1.19378i | |||||
11.5166 | − | 3.38157i | 0.411044 | − | 0.120693i | |||||
30.5872 | + | 5.89521i | 1.09101 | + | 0.210275i | |||||
11.8479 | − | 6.10800i | 0.422331 | − | 0.217727i | −0.233942 | − | 0.972251i | ||
0.656273 | + | 0.754524i | ||||||||
13.4894 | − | 2.59987i | 0.480541 | − | 0.0926167i | |||||
−21.0145 | + | 16.5260i | −0.748137 | + | 0.588341i | |||||
1.86039 | + | 0.546261i | 0.0661899 | + | 0.0194351i | |||||
6.25677 | + | 3.98346i | 0.222465 | + | 0.141636i | |||||
0.125784 | − | 0.874849i | 0.00446955 | − | 0.0310864i | |||||
75.1454 | − | 7.17552i | 2.66849 | − | 0.254810i | |||||
33.0815 | + | 46.4565i | 1.17402 | + | 1.64868i | |||||
−7.49548 | − | 5.89451i | −0.265837 | − | 0.209057i | |||||
7.66021 | + | 3.94911i | 0.271509 | + | 0.139973i | |||||
−3.67526 | − | 1.07915i | −0.130184 | − | 0.0382256i | 0.215991 | − | 0.976395i | ||
−0.346176 | + | 0.938170i | ||||||||
−18.9345 | − | 9.65967i | −0.670276 | − | 0.341949i | |||||
−32.1784 | − | 37.1358i | −1.13839 | − | 1.31377i | |||||
0.167569 | − | 3.51771i | 0.00592446 | − | 0.124370i | |||||
0.929004 | + | 2.68418i | 0.0328248 | + | 0.0948409i | |||||
6.87569 | − | 28.3420i | 0.242789 | − | 1.00079i | |||||
−1.13926 | + | 1.59987i | −0.0402037 | + | 0.0564582i | |||||
8.33164 | 0.293834 | |||||||||
2.11691 | − | 30.7459i | 0.0746113 | − | 1.08365i | |||||
72.9581 | 2.56984 | |||||||||
9.09595 | − | 12.7735i | 0.320193 | − | 0.449648i | |||||
1.77300 | − | 7.30841i | 0.0623740 | − | 0.257109i | |||||
−10.0343 | − | 28.9923i | −0.352789 | − | 1.01932i | −0.972180 | − | 0.234234i | ||
0.619392 | − | 0.785082i | ||||||||
−0.190751 | + | 4.00437i | −0.00670232 | + | 0.140699i | |||||
−0.412673 | − | 0.476250i | −0.0144909 | − | 0.0167234i | 0.748458 | − | 0.663182i | ||
−0.762949 | + | 0.646459i | ||||||||
0.0619026 | + | 1.19269i | 0.00217235 | + | 0.0418550i | |||||
−20.7326 | − | 6.08764i | −0.727124 | − | 0.213503i | |||||
4.72468 | + | 2.43574i | 0.165600 | + | 0.0853728i | |||||
−16.7391 | − | 13.1638i | −0.586346 | − | 0.461108i | |||||
16.5775 | + | 23.2798i | 0.580328 | + | 0.814956i | |||||
−3.94085 | + | 0.376305i | −0.137873 | + | 0.0131652i | |||||
−3.82028 | + | 26.5706i | −0.133573 | + | 0.929020i | |||||
0.701750 | − | 16.1799i | 0.0245211 | − | 0.565373i | |||||
−6.32811 | − | 1.85810i | −0.220987 | − | 0.0648877i | |||||
16.5765 | − | 13.0359i | 0.578524 | − | 0.454956i | −0.285520 | − | 0.958373i | ||
0.864044 | + | 0.503417i | ||||||||
−15.6150 | + | 3.00954i | −0.544635 | + | 0.104970i | |||||
−30.6644 | + | 15.8086i | −1.06889 | + | 0.551053i | −0.900584 | − | 0.434681i | ||
−0.168310 | + | 0.985734i | ||||||||
−41.1185 | − | 7.92494i | −1.43243 | − | 0.276078i | |||||
−0.362206 | + | 0.106353i | −0.0126104 | + | 0.00370274i | |||||
10.3706 | − | 12.0718i | 0.360841 | − | 0.420031i | |||||
−20.0136 | −0.695939 | −0.347970 | − | 0.937506i | ||||||
−0.347970 | + | 0.937506i | ||||||||
−2.34054 | + | 2.56643i | −0.0813395 | + | 0.0891895i | |||||
3.62610 | − | 6.28059i | 0.125940 | − | 0.218134i | −0.796160 | − | 0.605086i | ||
0.922100 | + | 0.386952i | ||||||||
−35.4230 | − | 3.38249i | −1.22955 | − | 0.117408i | |||||
−9.36400 | − | 8.92856i | −0.324834 | − | 0.309728i | |||||
−13.5675 | + | 15.6578i | −0.470370 | + | 0.542836i | |||||
9.24215 | − | 39.5633i | 0.320221 | − | 1.37079i | |||||
18.4828 | + | 21.3303i | 0.640007 | + | 0.738607i | |||||
25.0522 | − | 19.7013i | 0.866966 | − | 0.681790i | |||||
−1.07096 | + | 1.02116i | −0.0370401 | + | 0.0353176i | |||||
0.343602 | + | 7.21308i | 0.0118766 | + | 0.249321i | |||||
24.8139 | − | 9.93400i | 0.857183 | − | 0.343164i | |||||
3.06372 | − | 6.70860i | 0.105771 | − | 0.231607i | −0.849345 | − | 0.527838i | ||
0.955116 | + | 0.296232i | ||||||||
−13.5311 | + | 0.0575811i | −0.466868 | + | 0.00198674i | |||||
4.07185 | − | 28.3203i | 0.140409 | − | 0.976563i | |||||
−1.22447 | − | 0.631257i | −0.0421980 | − | 0.0217546i | |||||
13.4147 | − | 12.7909i | 0.462027 | − | 0.440542i | |||||
8.95871 | + | 3.58652i | 0.308371 | + | 0.123453i | |||||
−19.4382 | + | 56.1630i | −0.668695 | + | 1.93207i | |||||
−11.7553 | − | 7.55467i | −0.404155 | − | 0.259735i | |||||
−6.86982 | − | 27.8009i | −0.236050 | − | 0.955250i | |||||
−18.5482 | + | 5.44626i | −0.636949 | + | 0.187025i | |||||
2.03516 | − | 2.85799i | 0.0698466 | − | 0.0980858i | |||||
4.30775 | − | 7.46124i | 0.147755 | − | 0.255919i | |||||
17.5828 | + | 32.3233i | 0.602732 | + | 1.10803i | |||||
4.59598 | + | 7.96047i | 0.157456 | + | 0.272721i | |||||
7.22512 | + | 15.8208i | 0.247384 | + | 0.541694i | 0.992065 | − | 0.125726i | ||
−0.744682 | + | 0.667420i | ||||||||
52.8361 | − | 10.4167i | 1.80801 | − | 0.356452i | |||||
−7.74218 | + | 8.93495i | −0.264777 | + | 0.305569i | |||||
−0.337511 | + | 7.08523i | −0.0115359 | + | 0.242168i | |||||
24.2702 | − | 4.67770i | 0.829055 | − | 0.159787i | 0.242967 | − | 0.970035i | ||
0.586088 | + | 0.810247i | ||||||||
−3.93704 | − | 1.57615i | −0.134408 | − | 0.0538090i | |||||
−3.26353 | − | 13.4525i | −0.111350 | − | 0.458992i | −1.00000 | 0.000405202i | |||
0.888650 | − | 0.458587i | ||||||||
1.20357 | − | 0.773486i | 0.0410413 | − | 0.0263757i | |||||
−2.29755 | + | 9.64966i | −0.0783001 | + | 0.328859i | |||||
11.2042 | − | 24.5339i | 0.381618 | − | 0.835626i | |||||
−12.9177 | + | 1.23349i | −0.439722 | + | 0.0419884i | −0.312570 | − | 0.949895i | ||
−0.127152 | + | 0.991883i | ||||||||
3.07808 | + | 2.42063i | 0.104718 | + | 0.0823514i | |||||
−0.732883 | − | 15.3851i | −0.0249188 | − | 0.523109i | |||||
12.4724 | + | 51.4119i | 0.423829 | + | 1.74705i | |||||
2.37484 | + | 16.5174i | 0.0806538 | + | 0.560959i | |||||
13.7691 | − | 1.37394i | 0.467353 | − | 0.0466346i | |||||
−0.170787 | − | 0.109758i | −0.00579354 | − | 0.00372328i | |||||
2.45342 | + | 0.472859i | 0.0831789 | + | 0.0160314i | |||||
−16.6012 | + | 68.4312i | −0.562512 | + | 2.31870i | |||||
22.5211 | + | 2.15050i | 0.762659 | + | 0.0728251i | |||||
3.40868 | + | 5.90400i | 0.115366 | + | 0.199820i | |||||
−38.0068 | + | 6.32869i | −1.28560 | + | 0.214071i | |||||
−11.0487 | − | 23.9233i | −0.373514 | − | 0.808756i | |||||
−1.40780 | − | 3.08265i | −0.0475651 | − | 0.104153i | |||||
0.562643 | + | 0.536479i | 0.0189991 | + | 0.0181156i | 0.699519 | − | 0.714614i | ||
−0.680520 | + | 0.732729i | ||||||||
−16.2689 | − | 47.0060i | −0.549049 | − | 1.58637i | |||||
12.3262 | − | 6.35459i | 0.415752 | − | 0.214335i | |||||
−1.64189 | + | 4.74393i | −0.0553481 | + | 0.159918i | |||||
1.63620 | + | 11.3800i | 0.0551249 | + | 0.383402i | 0.998643 | + | 0.0520807i | ||
−0.943518 | + | 0.331321i | ||||||||
−0.647948 | − | 11.5355i | −0.0218176 | − | 0.388422i | |||||
−40.5463 | + | 26.0575i | −1.36449 | + | 0.876906i | −0.998555 | − | 0.0537334i | ||
−0.365937 | + | 0.930640i | ||||||||
23.8882 | − | 9.56338i | 0.803446 | − | 0.321651i | |||||
−5.13450 | − | 7.21039i | −0.172594 | − | 0.242375i | |||||
−36.5148 | − | 51.2779i | −1.22674 | − | 1.72271i | |||||
30.3482 | − | 12.1496i | 1.01899 | − | 0.407943i | 0.198806 | − | 0.980039i | ||
0.820187 | + | 0.572096i | ||||||||
13.5910 | − | 8.73440i | 0.456084 | − | 0.293107i | |||||
3.00258 | + | 20.2706i | 0.100703 | + | 0.679856i | |||||
−1.62053 | − | 11.2710i | −0.0543201 | − | 0.377805i | |||||
0.137286 | − | 0.396663i | 0.00459927 | − | 0.0132887i | |||||
−13.4473 | + | 6.93258i | −0.450250 | + | 0.232120i | |||||
−13.4782 | − | 38.9428i | −0.451032 | − | 1.30317i | |||||
−5.61450 | − | 5.35342i | −0.187777 | − | 0.179045i | |||||
15.3181 | + | 33.5421i | 0.512029 | + | 1.12119i | |||||
−20.4695 | + | 29.0059i | −0.683839 | + | 0.969019i | |||||
−16.4155 | − | 24.3376i | −0.548097 | − | 0.812609i | |||||
20.2532 | + | 35.0797i | 0.675860 | + | 1.17062i | |||||
4.48032 | + | 0.427819i | 0.149427 | + | 0.0142686i | |||||
0.153563 | − | 0.632995i | 0.00511876 | − | 0.0210998i | |||||
−22.3748 | − | 4.31238i | −0.745411 | − | 0.143666i | |||||
2.18513 | + | 1.40430i | 0.0727569 | + | 0.0467580i | |||||
−1.25560 | − | 1.74746i | −0.0417837 | − | 0.0581517i | |||||
−0.840095 | − | 5.84299i | −0.0279412 | − | 0.194335i | |||||
7.14584 | + | 29.4556i | 0.237536 | + | 0.979136i | |||||
−0.111090 | − | 2.33208i | −0.00369073 | − | 0.0774780i | |||||
−24.7398 | − | 19.4556i | −0.821472 | − | 0.646013i | 0.116320 | − | 0.993212i | ||
−0.937791 | + | 0.347199i | ||||||||
−9.34305 | + | 0.892153i | −0.310060 | + | 0.0296071i | |||||
1.48367 | − | 3.24878i | 0.0492101 | − | 0.107755i | |||||
−15.0380 | + | 63.1593i | −0.498504 | + | 2.09371i | |||||
12.6120 | − | 8.10523i | 0.417854 | − | 0.268538i | −0.314776 | − | 0.949166i | ||
0.732629 | + | 0.680628i | ||||||||
5.65062 | + | 23.2922i | 0.187111 | + | 0.771280i | |||||
3.45891 | + | 1.38474i | 0.114473 | + | 0.0458282i | |||||
23.6879 | − | 4.56546i | 0.783525 | − | 0.151012i | |||||
1.42522 | − | 29.9190i | 0.0471162 | − | 0.989091i | |||||
0.419181 | − | 0.483761i | 0.0138501 | − | 0.0159839i | |||||
−16.1304 | + | 47.2555i | −0.532674 | + | 1.56051i | |||||
3.97960 | + | 8.71410i | 0.131346 | + | 0.287608i | |||||
10.1177 | + | 17.5244i | 0.333753 | + | 0.578077i | 0.983244 | − | 0.182292i | ||
−0.649492 | + | 0.760369i | ||||||||
−19.6587 | + | 14.6673i | −0.648128 | + | 0.483568i | |||||
2.60002 | − | 4.50336i | 0.0856734 | − | 0.148391i | |||||
7.41050 | − | 10.4066i | 0.244052 | − | 0.342723i | |||||
−74.5405 | + | 21.8871i | −2.45353 | + | 0.720421i | |||||
−0.772703 | − | 0.223319i | −0.0254201 | − | 0.00734665i | |||||
−5.80482 | − | 3.73053i | −0.190861 | − | 0.122659i | |||||
4.01636 | − | 11.6045i | 0.131986 | − | 0.381348i | |||||
−18.4625 | − | 7.39128i | −0.606389 | − | 0.242761i | |||||
1.76634 | − | 1.68420i | 0.0579829 | − | 0.0552866i | |||||
−21.9701 | − | 11.3264i | −0.720817 | − | 0.371607i | 0.0584574 | − | 0.998290i | ||
−0.779274 | + | 0.626683i | ||||||||
4.11993 | − | 28.6547i | 0.135098 | − | 0.939625i | |||||
19.5274 | − | 27.9223i | 0.639983 | − | 0.915115i | |||||
2.09715 | − | 4.59211i | 0.0686944 | − | 0.150420i | |||||
−24.5200 | + | 9.81634i | −0.802750 | + | 0.321373i | |||||
−0.191550 | − | 4.02113i | −0.00626771 | − | 0.131575i | |||||
−4.28255 | + | 4.08341i | −0.140054 | + | 0.133542i | |||||
−10.1315 | + | 7.96752i | −0.331159 | + | 0.260426i | |||||
13.8663 | + | 16.0026i | 0.452992 | + | 0.522781i | 0.935603 | − | 0.353054i | ||
−0.482611 | + | 0.875835i | ||||||||
−6.93758 | + | 49.7540i | −0.226520 | + | 1.62453i | |||||
17.5549 | − | 20.2595i | 0.572883 | − | 0.661142i | |||||
10.7785 | + | 10.2773i | 0.351555 | + | 0.335207i | |||||
2.31598 | + | 0.221149i | 0.0754988 | + | 0.00720926i | 0.132737 | − | 0.991151i | ||
−0.0572383 | + | 0.998361i | ||||||||
4.07825 | − | 7.06374i | 0.132877 | − | 0.230149i | |||||
7.05157 | + | 16.5400i | 0.229631 | + | 0.538617i | |||||
−17.9449 | −0.584056 | |||||||||
−6.31514 | − | 1.18929i | −0.205431 | − | 0.0386877i | |||||
−0.540634 | + | 0.158744i | −0.0175775 | + | 0.00516123i | |||||
−21.0707 | − | 4.06105i | −0.684706 | − | 0.131966i | −0.164977 | − | 0.986297i | ||
−0.519729 | + | 0.854331i | ||||||||
0.311353 | − | 0.160514i | 0.0101123 | − | 0.00521324i | |||||
28.1242 | − | 5.42049i | 0.912950 | − | 0.175957i | |||||
5.67953 | − | 4.46643i | 0.184268 | − | 0.144910i | |||||
8.25680 | + | 2.42442i | 0.267745 | + | 0.0786171i | |||||
−28.6769 | + | 14.9388i | −0.929423 | + | 0.484168i | |||||
−1.78221 | + | 12.3956i | −0.0577315 | + | 0.401531i | 0.940381 | + | 0.340122i | ||
−0.998113 | + | 0.0614090i | ||||||||
−6.45058 | + | 0.615956i | −0.208845 | + | 0.0199423i | |||||
0.710131 | + | 0.997239i | 0.0229793 | + | 0.0322699i | |||||
−7.89638 | − | 6.20978i | −0.255387 | − | 0.200839i | |||||
−0.232529 | − | 0.119877i | −0.00751661 | − | 0.00387508i | |||||
24.8109 | + | 7.28515i | 0.801605 | + | 0.235373i | |||||
−1.32125 | − | 25.4567i | −0.0426654 | − | 0.822040i | |||||
5.38352 | + | 6.21292i | 0.173752 | + | 0.200521i | |||||
1.00620 | − | 21.1227i | 0.0324580 | − | 0.681377i | |||||
−25.3534 | − | 73.2538i | −0.817426 | − | 2.36180i | |||||
−0.794196 | + | 3.27372i | −0.0255926 | + | 0.105494i | |||||
−6.45961 | + | 9.07125i | −0.208050 | + | 0.292165i | |||||
−58.5267 | −1.88404 | |||||||||
−13.3770 | − | 16.1140i | −0.430398 | − | 0.518460i | |||||
23.0935 | 0.742638 | 0.371319 | − | 0.928505i | ||||||
0.371319 | + | 0.928505i | ||||||||
−13.2202 | + | 18.5651i | −0.424913 | + | 0.596706i | |||||
−6.66060 | + | 27.4554i | −0.213969 | + | 0.881993i | |||||
−8.93882 | − | 25.8270i | −0.287008 | − | 0.829255i | |||||
1.75839 | − | 36.9132i | 0.0564295 | − | 1.18460i | −0.776096 | − | 0.630614i | ||
0.832526 | − | 0.553986i | ||||||||
0.474289 | + | 0.547359i | 0.0152128 | + | 0.0175565i | |||||
−37.9557 | + | 24.6215i | −1.21680 | + | 0.789329i | |||||
27.5505 | + | 8.08955i | 0.882774 | + | 0.259206i | |||||
4.89307 | + | 2.52255i | 0.156704 | + | 0.0807863i | |||||
−47.7314 | − | 37.5364i | −1.52785 | − | 1.20151i | |||||
−22.1259 | − | 31.0714i | −0.707869 | − | 0.994063i | −0.999298 | − | 0.0374707i | ||
0.291428 | − | 0.956593i | ||||||||
−14.4056 | + | 1.37557i | −0.460642 | + | 0.0439860i | |||||
−0.169676 | + | 1.18012i | −0.00542286 | + | 0.0377168i | |||||
−1.64865 | + | 12.2030i | −0.0526641 | + | 0.389810i | |||||
10.3090 | + | 3.02698i | 0.329140 | + | 0.0966442i | |||||
−27.2673 | + | 21.4433i | −0.870136 | + | 0.684282i | |||||
0.101990 | − | 0.0196570i | 0.00325299 | − | 0.000626962i | −0.187624 | − | 0.982241i | ||
0.190877 | + | 0.981614i | ||||||||
7.01689 | − | 3.61746i | 0.223690 | − | 0.115320i | |||||
45.2378 | + | 8.71886i | 1.44139 | + | 0.277806i | |||||
5.72882 | − | 1.68213i | 0.182443 | − | 0.0535701i | |||||
14.5962 | − | 16.9904i | 0.464601 | − | 0.540811i | |||||
21.5796 | 0.686537 | |||||||||
−3.71332 | − | 1.19356i | −0.118077 | − | 0.0379532i | |||||
−0.841367 | + | 1.45729i | −0.0267404 | + | 0.0463157i | |||||
19.3310 | + | 1.84588i | 0.614069 | + | 0.0586365i | 0.397456 | − | 0.917621i | ||
0.216613 | + | 0.976258i | ||||||||
−20.4654 | − | 19.5137i | −0.649777 | − | 0.619561i | |||||
10.7266 | − | 12.3792i | 0.340399 | − | 0.392842i | |||||
−51.3645 | + | 20.8173i | −1.62918 | + | 0.660284i | |||||
18.9267 | + | 21.8426i | 0.600018 | + | 0.692457i | |||||
−5.05331 | + | 3.97397i | −0.160120 | + | 0.125920i | |||||
−19.8777 | + | 18.9533i | −0.629533 | + | 0.600258i | −0.936161 | − | 0.351571i | ||
0.306628 | + | 0.951829i | ||||||||
0.967468 | + | 20.3097i | 0.0306247 | + | 0.642891i | |||||
7.12292 | − | 2.85159i | 0.225359 | − | 0.0902202i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.y.a.4.5 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.a.142.12 | yes | 320 | |
23.6 | even | 11 | inner | 483.2.y.a.466.12 | yes | 320 | |
161.121 | even | 33 | inner | 483.2.y.a.121.5 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.4.5 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.121.5 | yes | 320 | 161.121 | even | 33 | inner | |
483.2.y.a.142.12 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.a.466.12 | yes | 320 | 23.6 | even | 11 | inner |