Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,2,Mod(3,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([62]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 169.i (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 | 3.12 | ||
Character | 169.3 | ||
Dual form | 169.2.i.a.113.12 |
-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 .
1.43066 | − | 1.07507i | 1.01163 | − | 0.760192i | 0.0406081 | − | 0.999175i | ||
0.971024 | + | 0.238983i | ||||||||
−0.532083 | + | 2.60631i | −0.307198 | + | 1.50476i | 0.474030 | + | 0.880509i | ||
−0.781228 | + | 0.624246i | ||||||||
0.334579 | − | 1.15510i | 0.167290 | − | 0.577551i | |||||
−0.657900 | − | 0.345292i | −0.294222 | − | 0.154419i | 0.311154 | − | 0.950360i | ||
−0.605375 | + | 0.795940i | ||||||||
2.04075 | + | 4.30078i | 0.833132 | + | 1.75579i | |||||
2.44433 | + | 0.397242i | 0.923868 | + | 0.150143i | 0.603695 | − | 0.797216i | ||
0.320174 | + | 0.947359i | ||||||||
0.506036 | + | 1.33431i | 0.178911 | + | 0.471749i | |||||
−3.74982 | − | 1.59765i | −1.24994 | − | 0.532549i | |||||
−1.31245 | + | 0.213294i | −0.415032 | + | 0.0674493i | |||||
0.986578 | − | 0.420341i | 0.297464 | − | 0.126738i | −0.238078 | − | 0.971246i | ||
0.535542 | + | 0.844508i | ||||||||
2.83253 | + | 1.48663i | 0.817681 | + | 0.429152i | |||||
−2.64177 | − | 2.45378i | −0.732695 | − | 0.680557i | |||||
3.92407 | − | 2.05951i | 1.04875 | − | 0.550428i | |||||
1.25000 | − | 1.53097i | 0.322748 | − | 0.395294i | |||||
4.19126 | + | 2.65040i | 1.04782 | + | 0.662599i | |||||
−0.931036 | − | 0.151308i | −0.225810 | − | 0.0366976i | 0.0464536 | − | 0.998920i | ||
−0.272263 | + | 0.962223i | ||||||||
−7.08231 | + | 1.74563i | −1.66932 | + | 0.411450i | |||||
2.05942 | − | 3.56703i | 0.472464 | − | 0.818332i | −0.527039 | − | 0.849841i | ||
0.999503 | + | 0.0315087i | ||||||||
−0.618967 | + | 0.644413i | −0.138405 | + | 0.144095i | |||||
−2.33592 | + | 6.15931i | −0.509739 | + | 1.34407i | |||||
0.959562 | − | 1.66201i | 0.204579 | − | 0.354342i | |||||
−3.92310 | − | 6.79501i | −0.818023 | − | 1.41686i | −0.907137 | − | 0.420836i | ||
0.0891139 | − | 0.996021i | ||||||||
−3.74687 | + | 0.608926i | −0.764827 | + | 0.124297i | |||||
−2.52672 | − | 3.66058i | −0.505344 | − | 0.732117i | |||||
−6.41748 | − | 0.670442i | −1.25857 | − | 0.131485i | |||||
1.62590 | − | 2.35552i | 0.312905 | − | 0.453321i | |||||
1.27667 | − | 2.69054i | 0.241269 | − | 0.508463i | |||||
−1.29617 | + | 0.974010i | −0.240693 | + | 0.180869i | −0.714243 | − | 0.699898i | ||
0.473550 | + | 0.880767i | ||||||||
0.142421 | − | 3.53414i | 0.0260024 | − | 0.645243i | |||||
−1.92189 | + | 2.78434i | −0.345182 | + | 0.500082i | −0.956671 | − | 0.291170i | ||
0.611489 | + | 0.791253i | ||||||||
6.00083 | − | 0.484437i | 1.06081 | − | 0.0856372i | |||||
0.570600 | + | 2.79499i | 0.0993288 | + | 0.486545i | |||||
−1.49467 | + | 0.784462i | −0.256333 | + | 0.134534i | |||||
−1.47096 | − | 1.10535i | −0.248637 | − | 0.186839i | |||||
−3.10005 | + | 3.79688i | −0.516676 | + | 0.632813i | |||||
5.74077 | + | 0.463443i | 0.943777 | + | 0.0761896i | 0.542766 | − | 0.839884i | ||
0.401011 | + | 0.916073i | ||||||||
−0.888475 | − | 7.31725i | −0.144130 | − | 1.18701i | |||||
7.80097 | − | 5.57966i | 1.24915 | − | 0.893461i | |||||
0.127805 | − | 1.05257i | 0.0202078 | − | 0.166426i | |||||
−0.352113 | + | 1.72476i | −0.0549907 | + | 0.269363i | −0.997985 | − | 0.0634457i | ||
0.942995 | + | 0.332808i | ||||||||
3.27980 | + | 11.3232i | 0.506084 | + | 1.74721i | |||||
9.84148 | − | 0.794487i | 1.50081 | − | 0.121158i | 0.697443 | − | 0.716640i | ||
0.803369 | + | 0.595482i | ||||||||
−0.155449 | − | 1.28023i | −0.0234348 | − | 0.193003i | |||||
1.91535 | + | 2.34587i | 0.285523 | + | 0.349702i | |||||
−12.9178 | − | 5.50375i | −1.90462 | − | 0.811483i | |||||
−0.593493 | − | 0.146283i | −0.0865698 | − | 0.0213375i | 0.195793 | − | 0.980645i | ||
−0.282363 | + | 0.959308i | ||||||||
−9.13786 | + | 9.51352i | −1.31894 | + | 1.37316i | |||||
−0.822826 | − | 0.274700i | −0.117547 | − | 0.0392428i | |||||
−7.55028 | − | 2.52065i | −1.06777 | − | 0.356474i | |||||
0.889745 | − | 2.34606i | 0.124589 | − | 0.328515i | |||||
−3.71825 | + | 2.23053i | −0.515628 | + | 0.309318i | |||||
3.97684 | + | 10.4861i | 0.546261 | + | 1.44037i | 0.869442 | + | 0.494035i | ||
−0.323181 | + | 0.946337i | ||||||||
−0.206245 | − | 5.11793i | −0.0280664 | − | 0.696461i | |||||
−0.794210 | − | 0.0641152i | −0.107091 | − | 0.00864530i | |||||
0.706874 | + | 3.46250i | 0.0944600 | + | 0.462696i | |||||
8.20101 | + | 7.26546i | 1.08625 | + | 0.962333i | |||||
−0.807253 | + | 2.78696i | −0.105998 | + | 0.365946i | |||||
−10.7661 | + | 6.80809i | −1.40163 | + | 0.886337i | −0.999571 | − | 0.0292763i | ||
−0.402059 | + | 0.915614i | ||||||||
−1.35020 | − | 1.95610i | −0.174310 | − | 0.252532i | |||||
2.21118 | + | 2.70820i | 0.283112 | + | 0.346749i | 0.896509 | − | 0.443025i | ||
−0.613397 | + | 0.789775i | ||||||||
0.243792 | + | 6.04963i | 0.0309616 | + | 0.768304i | |||||
−8.53112 | − | 5.39475i | −1.07482 | − | 0.679675i | |||||
0.640694 | − | 0.567606i | 0.0800868 | − | 0.0709507i | |||||
0.890746 | + | 2.52653i | 0.110483 | + | 0.313377i | |||||
3.82115 | + | 3.38525i | 0.470351 | + | 0.416695i | |||||
−3.11774 | − | 10.7637i | −0.380893 | − | 1.31500i | −0.890655 | − | 0.454680i | ||
0.509762 | − | 0.860315i | ||||||||
−0.486282 | + | 1.02482i | −0.0589703 | + | 0.124277i | |||||
19.7973 | − | 6.60932i | 2.38332 | − | 0.795669i | |||||
−3.29278 | −0.393562 | |||||||||
−4.59941 | + | 1.53551i | −0.545849 | + | 0.182231i | −0.576201 | − | 0.817308i | ||
0.0303517 | + | 0.999539i | ||||||||
0.234210 | − | 5.81187i | 0.0276019 | − | 0.684935i | |||||
−1.19674 | + | 9.85605i | −0.140068 | + | 1.15356i | 0.737923 | + | 0.674885i | ||
−0.877991 | + | 0.478678i | ||||||||
8.71135 | − | 5.50872i | 1.01267 | − | 0.640376i | |||||
10.8850 | − | 4.63769i | 1.25690 | − | 0.535514i | |||||
−3.43124 | − | 3.57230i | −0.393590 | − | 0.409771i | |||||
2.57849 | − | 0.635542i | 0.293847 | − | 0.0724267i | |||||
5.16201 | − | 16.3692i | 0.584483 | − | 1.85345i | |||||
7.82221 | + | 1.92800i | 0.880068 | + | 0.216917i | 0.653362 | − | 0.757046i | ||
0.226706 | + | 0.973963i | ||||||||
−1.84227 | − | 3.19091i | −0.205972 | − | 0.356754i | |||||
−3.19647 | − | 3.32787i | −0.355163 | − | 0.369764i | |||||
1.35049 | + | 2.84610i | 0.149137 | + | 0.314299i | |||||
−1.36646 | + | 1.21058i | −0.149988 | + | 0.132878i | −0.734780 | − | 0.678305i | ||
0.584792 | + | 0.811183i | ||||||||
6.33308 | + | 4.75900i | 0.690996 | + | 0.519250i | |||||
0.560283 | + | 0.421025i | 0.0607712 | + | 0.0456666i | |||||
13.2257 | − | 11.7170i | 1.42617 | − | 1.26347i | |||||
−1.84890 | − | 3.89648i | −0.198223 | − | 0.417747i | |||||
1.06011 | + | 1.10369i | 0.113008 | + | 0.117654i | |||||
−6.18653 | − | 10.7154i | −0.655770 | − | 1.13583i | −0.981700 | − | 0.190434i | ||
0.325930 | − | 0.945394i | ||||||||
5.26220 | + | 1.29702i | 0.554685 | + | 0.136718i | |||||
−5.48260 | − | 7.04727i | −0.574733 | − | 0.738755i | |||||
−9.16151 | + | 2.25811i | −0.955154 | + | 0.235424i | |||||
−6.23426 | − | 6.49055i | −0.646462 | − | 0.673039i | |||||
−1.00635 | + | 0.428767i | −0.103797 | + | 0.0442239i | |||||
−2.58656 | + | 1.63564i | −0.265376 | + | 0.167813i | |||||
−1.93034 | + | 15.8978i | −0.197015 | + | 1.62256i | |||||
0.281016 | − | 6.97335i | 0.0285329 | − | 0.708036i | −0.920105 | − | 0.391672i | ||
0.948638 | − | 0.316364i | ||||||||
−1.47251 | + | 0.491596i | −0.148746 | + | 0.0496587i | |||||
−4.37104 | −0.439306 | |||||||||
−5.07373 | + | 1.69386i | −0.507373 | + | 0.169386i | |||||
−8.05077 | + | 16.9666i | −0.801082 | + | 1.68824i | −0.0785457 | + | 0.996911i | ||
−0.722536 | + | 0.691333i | ||||||||
−1.24927 | − | 4.31297i | −0.123696 | − | 0.427048i | |||||
6.49381 | + | 5.75301i | 0.639854 | + | 0.566861i | 0.919426 | − | 0.393264i | ||
−0.279572 | + | 0.960125i | ||||||||
1.93727 | − | 4.76663i | 0.189965 | − | 0.467407i | |||||
3.66356 | − | 3.24563i | 0.357527 | − | 0.316742i | |||||
16.9628 | + | 10.7266i | 1.64757 | + | 1.04186i | |||||
−0.564488 | − | 14.0076i | −0.0545711 | − | 1.35417i | −0.762089 | − | 0.647472i | ||
0.707518 | − | 0.706695i | ||||||||
−2.17688 | − | 2.66619i | −0.209470 | − | 0.256554i | |||||
6.29872 | + | 9.12528i | 0.603308 | + | 0.874043i | 0.999017 | − | 0.0443332i | ||
−0.395709 | + | 0.918376i | ||||||||
−1.20518 | + | 0.762107i | −0.114909 | + | 0.0726640i | |||||
−4.26244 | + | 14.7157i | −0.404573 | + | 1.39675i | |||||
9.19197 | + | 8.14337i | 0.868560 | + | 0.769477i | |||||
−3.21345 | − | 15.7405i | −0.302296 | − | 1.48075i | −0.792894 | − | 0.609360i | ||
0.490598 | − | 0.871386i | ||||||||
19.5438 | + | 1.57774i | 1.83044 | + | 0.147769i | |||||
0.234742 | + | 5.82505i | 0.0218898 | + | 0.543189i | |||||
0.691408 | + | 1.82309i | 0.0641957 | + | 0.169270i | |||||
5.98587 | + | 13.4219i | 0.553393 | + | 1.24085i | |||||
−8.08351 | + | 21.3145i | −0.744147 | + | 1.96216i | |||||
−2.21565 | − | 0.739693i | −0.203108 | − | 0.0678075i | |||||
2.67532 | + | 0.893154i | 0.244223 | + | 0.0815335i | |||||
−6.82332 | + | 7.10383i | −0.620302 | + | 0.645803i | |||||
6.07496 | + | 1.49734i | 0.550001 | + | 0.135563i | |||||
−4.30791 | − | 1.83543i | −0.388432 | − | 0.165495i | |||||
2.57317 | + | 3.15156i | 0.231078 | + | 0.283019i | |||||
0.846153 | + | 6.96870i | 0.0756823 | + | 0.623299i | |||||
−18.0049 | + | 1.45351i | −1.60401 | + | 0.129489i | |||||
−4.50920 | − | 15.5675i | −0.400126 | − | 1.38140i | −0.867544 | − | 0.497360i | ||
0.467418 | − | 0.884037i | ||||||||
−2.10205 | + | 10.2965i | −0.185797 | + | 0.910093i | |||||
−3.16580 | + | 26.0727i | −0.278733 | + | 2.29557i | |||||
3.99056 | + | 2.65699i | 0.349995 | + | 0.233034i | |||||
−0.484839 | − | 3.99301i | −0.0423605 | − | 0.348870i | −0.998443 | − | 0.0557740i | ||
0.956083 | − | 0.293096i | ||||||||
3.41940 | + | 0.276043i | 0.297621 | + | 0.0240264i | |||||
6.45088 | − | 7.90089i | 0.559362 | − | 0.685094i | |||||
−16.0322 | − | 12.0474i | −1.38497 | − | 1.04074i | |||||
−1.88302 | + | 0.988287i | −0.162065 | + | 0.0850582i | |||||
−0.269246 | − | 1.31886i | −0.0230877 | − | 0.113091i | |||||
−12.9976 | + | 1.04928i | −1.11046 | + | 0.0896456i | −0.622057 | − | 0.782972i | ||
−0.488404 | + | 0.872618i | ||||||||
21.2178 | − | 30.7393i | 1.80618 | − | 2.61670i | |||||
−0.465818 | + | 11.5592i | −0.0395102 | + | 0.980435i | 0.850914 | + | 0.525304i | ||
−0.890425 | + | 0.455131i | ||||||||
−1.76895 | + | 1.32928i | −0.149503 | + | 0.112344i | |||||
0.697046 | − | 1.46899i | 0.0587018 | − | 0.123712i | |||||
−4.92942 | + | 7.14150i | −0.413668 | + | 0.599301i | |||||
−3.63774 | − | 1.31040i | −0.304203 | − | 0.109581i | |||||
−11.4821 | − | 16.6347i | −0.956839 | − | 1.38622i | |||||
1.18907 | − | 0.193243i | 0.0987469 | − | 0.0160479i | |||||
8.88384 | + | 15.3873i | 0.735232 | + | 1.27346i | |||||
1.15376 | − | 1.99838i | 0.0951609 | − | 0.164823i | |||||
2.45607 | − | 6.47611i | 0.201887 | − | 0.532333i | |||||
3.81917 | − | 3.97618i | 0.312879 | − | 0.325741i | −0.546132 | − | 0.837699i | ||
0.859010 | + | 0.511958i | ||||||||
10.5870 | − | 18.3372i | 0.864424 | − | 1.49723i | |||||
−1.78649 | + | 0.440330i | −0.145382 | + | 0.0358336i | −0.311335 | − | 0.950300i | ||
0.165953 | + | 0.986134i | ||||||||
5.80165 | + | 0.942860i | 0.470576 | + | 0.0764760i | |||||
3.24948 | + | 2.05485i | 0.262705 | + | 0.166124i | |||||
3.00570 | − | 3.68132i | 0.242206 | − | 0.296649i | |||||
2.22582 | − | 1.16820i | 0.178782 | − | 0.0938323i | |||||
−3.83503 | − | 10.8777i | −0.307048 | − | 0.870917i | |||||
−13.9445 | − | 7.31865i | −1.11289 | − | 0.584092i | −0.194954 | − | 0.980812i | ||
−0.917939 | + | 0.396721i | ||||||||
13.2637 | − | 5.65113i | 1.05520 | − | 0.449580i | |||||
−29.4460 | + | 4.78544i | −2.33522 | + | 0.379510i | |||||
−4.11522 | − | 1.75333i | −0.325337 | − | 0.138613i | |||||
−6.89008 | − | 18.1676i | −0.543014 | − | 1.43181i | |||||
−8.15078 | − | 1.32463i | −0.640386 | − | 0.104073i | |||||
7.09054 | + | 14.9430i | 0.555374 | + | 1.17043i | 0.965981 | + | 0.258613i | ||
−0.410607 | + | 0.911812i | ||||||||
1.87446 | + | 0.983795i | 0.146371 | + | 0.0768215i | |||||
0.589690 | − | 2.03584i | 0.0459073 | − | 0.158490i | |||||
−0.653482 | + | 3.20097i | −0.0507201 | + | 0.248443i | |||||
0.513690 | − | 0.386013i | 0.0397505 | − | 0.0298706i | −0.580681 | − | 0.814131i | ||
0.620432 | + | 0.784260i | ||||||||
−9.40047 | −0.725262 | |||||||||
0.957889 | + | 12.9647i | 0.0736837 | + | 0.997282i | |||||
1.25421 | 0.0961935 | |||||||||
−13.4213 | + | 10.0855i | −1.02635 | + | 0.771255i | |||||
2.37504 | − | 11.6337i | 0.181095 | − | 0.887064i | |||||
0.599250 | − | 2.06885i | 0.0455602 | − | 0.157292i | −0.934513 | − | 0.355929i | ||
0.980073 | + | 0.198637i | ||||||||
−6.83417 | − | 3.58685i | −0.518097 | − | 0.271918i | |||||
−4.72199 | − | 9.95138i | −0.356949 | − | 0.752254i | |||||
5.24908 | + | 0.853058i | 0.395664 | + | 0.0643017i | |||||
−12.0155 | − | 31.6824i | −0.903143 | − | 2.38139i | |||||
−20.3707 | − | 8.67913i | −1.52685 | − | 0.650528i | |||||
25.6314 | − | 4.16551i | 1.91578 | − | 0.311345i | 0.919189 | − | 0.393817i | ||
0.996593 | + | 0.0824726i | ||||||||
3.35056 | − | 1.42754i | 0.249736 | − | 0.106402i | |||||
13.0249 | + | 6.83600i | 0.968133 | + | 0.508116i | 0.873197 | − | 0.487368i | ||
0.0949366 | + | 0.995483i | ||||||||
−15.4201 | − | 4.18807i | −1.14301 | − | 0.310440i | |||||
−8.23494 | + | 4.32203i | −0.608744 | + | 0.319494i | |||||
7.08140 | − | 8.67313i | 0.522047 | − | 0.639392i | |||||
−3.61683 | − | 2.28714i | −0.265915 | − | 0.168154i | |||||
−15.8969 | − | 2.58350i | −1.16562 | − | 0.189432i | |||||
−0.982141 | + | 0.242076i | −0.0718213 | + | 0.0177023i | |||||
−0.367542 | + | 0.636601i | −0.0268057 | + | 0.0464289i | |||||
4.90994 | − | 5.11179i | 0.357146 | − | 0.371828i | |||||
−1.94206 | + | 5.12080i | −0.140892 | + | 0.371502i | |||||
−2.01270 | + | 3.48610i | −0.145634 | + | 0.252245i | −0.929609 | − | 0.368547i | ||
0.783975 | + | 0.620792i | ||||||||
1.13846 | + | 1.97186i | 0.0821610 | + | 0.142307i | |||||
19.0658 | − | 3.09850i | 1.37239 | − | 0.223035i | 0.570888 | − | 0.821028i | ||
0.801501 | + | 0.597993i | ||||||||
−7.09483 | − | 10.2786i | −0.509379 | − | 0.737963i | |||||
−7.05887 | + | 0.977242i | −0.505496 | + | 0.0699818i | |||||
−0.592606 | + | 0.858538i | −0.0423290 | + | 0.0613242i | |||||
−10.5112 | + | 22.1518i | −0.748890 | + | 1.57825i | 0.0654434 | + | 0.997856i | ||
−0.814334 | + | 0.580397i | ||||||||
−6.25349 | + | 4.69919i | −0.444416 | + | 0.333957i | |||||
−0.0284068 | + | 0.704908i | −0.00201371 | + | 0.0499696i | −0.999883 | − | 0.0152686i | ||
0.997870 | + | 0.0652381i | ||||||||
3.60573 | − | 5.22380i | 0.254964 | − | 0.369379i | |||||
29.7125 | − | 2.39864i | 2.09576 | − | 0.169187i | |||||
6.72245 | + | 32.9287i | 0.472990 | + | 2.31686i | |||||
−3.55519 | + | 1.86591i | −0.249525 | + | 0.130961i | |||||
−2.41225 | − | 1.81269i | −0.168891 | − | 0.126914i | |||||
0.827202 | − | 1.01314i | 0.0577743 | − | 0.0707607i | |||||
15.4754 | + | 1.24930i | 1.07822 | + | 0.0870429i | |||||
3.85488 | + | 31.7478i | 0.267932 | + | 2.20662i | |||||
−4.56886 | − | 17.2862i | −0.316793 | − | 1.19858i | |||||
0.532412 | − | 4.38481i | 0.0368277 | − | 0.303304i | |||||
1.75203 | − | 8.58201i | 0.120902 | − | 0.592215i | |||||
0.619875 | + | 2.14006i | 0.0426740 | + | 0.147328i | 0.979026 | − | 0.203734i | ||
−0.936352 | + | 0.351062i | ||||||||
13.4430 | − | 1.08523i | 0.923271 | − | 0.0745342i | |||||
−1.55475 | − | 12.8045i | −0.106530 | − | 0.877351i | |||||
−15.8668 | − | 19.4333i | −1.08463 | − | 1.32843i | |||||
−6.74904 | − | 2.87550i | −0.460281 | − | 0.196107i | |||||
3.96575 | + | 0.977471i | 0.269835 | + | 0.0665085i | |||||
−5.80379 | + | 6.04238i | −0.393987 | + | 0.410184i | |||||
18.8217 | + | 6.28361i | 1.27477 | + | 0.425580i | |||||
−25.0512 | − | 8.36331i | −1.69280 | − | 0.565140i | |||||
−0.339786 | + | 0.895941i | −0.0229083 | + | 0.0604043i | |||||
2.08831 | + | 2.68428i | 0.140475 | + | 0.180564i | |||||
9.72230 | + | 25.6356i | 0.652518 | + | 1.72055i | |||||
0.208686 | + | 5.17850i | 0.0139747 | + | 0.346778i | 0.991017 | + | 0.133734i | ||
−0.977043 | + | 0.213044i | ||||||||
14.8604 | + | 1.19966i | 0.992904 | + | 0.0801555i | |||||
3.62641 | + | 17.7633i | 0.241760 | + | 1.18422i | |||||
−21.5196 | − | 19.0647i | −1.43146 | − | 1.26817i | |||||
−0.588998 | + | 2.03346i | −0.0390932 | + | 0.134965i | −0.977691 | − | 0.210047i | ||
0.938598 | + | 0.345013i | ||||||||
11.1362 | − | 7.04212i | 0.737514 | − | 0.466376i | |||||
13.1300 | + | 19.0220i | 0.867652 | + | 1.25701i | 0.965129 | + | 0.261774i | ||
−0.0974769 | + | 0.995238i | ||||||||
6.59820 | + | 8.08132i | 0.435072 | + | 0.532867i | |||||
0.284449 | + | 7.05852i | 0.0187154 | + | 0.464417i | |||||
−1.95554 | − | 1.23661i | −0.128387 | − | 0.0811872i | |||||
1.06532 | − | 0.943787i | 0.0697911 | − | 0.0618295i | −0.627506 | − | 0.778612i | ||
0.697297 | + | 0.716782i | ||||||||
22.9932 | + | 12.7669i | 1.50312 | + | 0.834599i | |||||
0.339948 | + | 0.301168i | 0.0221758 | + | 0.0196460i | |||||
4.26191 | + | 14.7138i | 0.277427 | + | 0.957788i | |||||
−9.18704 | + | 19.3613i | −0.596762 | + | 1.25765i | |||||
−3.96508 | + | 1.32374i | −0.257018 | + | 0.0858051i | |||||
3.57767 | 0.231420 | 0.115710 | − | 0.993283i | ||||||
0.115710 | + | 0.993283i | ||||||||
9.29674 | − | 3.10371i | 0.600102 | − | 0.200343i | |||||
0.425687 | − | 10.5633i | 0.0274209 | − | 0.680443i | −0.925772 | − | 0.378081i | ||
0.953193 | − | 0.302361i | ||||||||
−2.12473 | + | 17.4988i | −0.136583 | + | 1.12486i | |||||
17.6315 | − | 11.1495i | 1.13106 | − | 0.715240i | |||||
3.86806 | − | 1.64803i | 0.247627 | − | 0.105504i | |||||
0.446485 | + | 0.464840i | 0.0285249 | + | 0.0296976i | |||||
−8.13640 | + | 2.00544i | −0.518758 | + | 0.127862i | |||||
−14.1932 | + | 4.36988i | −0.903094 | + | 0.278049i | |||||
−4.68771 | − | 1.15542i | −0.297670 | − | 0.0733690i | |||||
−2.42807 | − | 4.20554i | −0.153873 | − | 0.266515i | |||||
8.70243 | + | 9.06019i | 0.550390 | + | 0.573017i | |||||
−0.574490 | − | 1.21071i | −0.0362615 | − | 0.0764195i | 0.884511 | − | 0.466519i | ||
−0.920773 | + | 0.390099i | ||||||||
−9.08582 | + | 8.04934i | −0.572353 | + | 0.507060i | |||||
−6.72667 | − | 5.05476i | −0.422902 | − | 0.317790i | |||||
−23.1874 | − | 17.4242i | −1.45491 | − | 1.09329i | |||||
−1.39544 | + | 1.23625i | −0.0873859 | + | 0.0774171i | |||||
8.79609 | + | 18.5374i | 0.549755 | + | 1.15858i | |||||
−9.21892 | − | 9.59791i | −0.575061 | − | 0.598701i | 0.368612 | − | 0.929584i | ||
−0.943672 | + | 0.330882i | ||||||||
23.5009 | + | 40.7048i | 1.46310 | + | 2.53417i | |||||
13.8482 | + | 3.41328i | 0.860486 | + | 0.212091i | |||||
3.21642 | − | 0.183579i | 0.199474 | − | 0.0113851i | |||||
6.41653 | − | 1.58153i | 0.397173 | − | 0.0978944i | |||||
−4.98642 | − | 5.19141i | −0.308062 | − | 0.320726i | |||||
0.667754 | − | 0.284503i | 0.0411755 | − | 0.0175432i | −0.371281 | − | 0.928521i | ||
0.412456 | + | 0.910977i | ||||||||
−3.44062 | + | 2.17572i | −0.211756 | + | 0.133906i | |||||
1.00440 | − | 8.27195i | 0.0616996 | − | 0.508142i | |||||
0.734994 | − | 18.2387i | 0.0450654 | − | 1.11829i | |||||
31.2194 | − | 10.4226i | 1.91059 | − | 0.637850i | |||||
−13.4763 | −0.823196 | |||||||||
15.6040 | − | 5.20936i | 0.951390 | − | 0.317621i | 0.201728 | − | 0.979442i | ||
0.749662 | + | 0.661821i | ||||||||
−1.63149 | + | 3.43830i | −0.0992895 | + | 0.209248i | |||||
−5.95705 | − | 20.5661i | −0.361865 | − | 1.24930i | −0.910594 | − | 0.413302i | ||
0.548729 | − | 0.836000i | ||||||||
−3.50119 | − | 3.10179i | −0.212291 | − | 0.188073i | |||||
21.2846 | − | 10.5396i | 1.28820 | − | 0.637888i | |||||
−17.4671 | + | 15.4745i | −1.05523 | + | 0.934851i | |||||
−4.03150 | − | 2.54937i | −0.243109 | − | 0.153733i | |||||
−1.01066 | − | 25.0793i | −0.0608346 | − | 1.50959i | |||||
3.20196 | + | 3.92169i | 0.192387 | + | 0.235632i | 0.861786 | − | 0.507271i | ||
−0.669399 | + | 0.742903i | ||||||||
11.7605 | + | 17.0381i | 0.705349 | + | 1.02187i | |||||
11.6551 | − | 7.37026i | 0.697774 | − | 0.441246i | |||||
0.730522 | − | 2.52205i | 0.0436570 | − | 0.150722i | |||||
17.3902 | + | 15.4063i | 1.03741 | + | 0.919065i | 0.996786 | − | 0.0801098i | ||
0.0406236 | + | 0.999175i | ||||||||
−0.582038 | − | 2.85101i | −0.0346598 | − | 0.169775i | |||||
14.8875 | + | 1.20185i | 0.884972 | + | 0.0714423i | 0.514589 | − | 0.857437i | ||
0.370383 | + | 0.928879i | ||||||||
0.234801 | + | 5.82653i | 0.0139329 | + | 0.345741i | |||||
−2.88673 | − | 7.61169i | −0.170995 | − | 0.450877i | |||||
−6.61316 | + | 2.03609i | −0.391044 | + | 0.120397i | |||||
−1.54583 | + | 4.07601i | −0.0912472 | + | 0.240599i | |||||
−23.2760 | − | 7.77066i | −1.37155 | − | 0.457891i | |||||
−15.2812 | − | 5.10161i | −0.898893 | − | 0.300095i | |||||
1.49341 | − | 1.55480i | 0.0876960 | − | 0.0913012i | |||||
18.0252 | + | 4.44281i | 1.05666 | + | 0.260442i | |||||
10.9843 | + | 4.67998i | 0.642809 | + | 0.273875i | |||||
−16.8291 | − | 20.6119i | −0.983166 | − | 1.20416i | −0.978936 | − | 0.204169i | ||
−0.00423077 | − | 0.999991i | ||||||||
−0.497756 | − | 4.09939i | −0.0290297 | − | 0.239081i | |||||
9.43381 | − | 0.761576i | 0.549258 | − | 0.0443407i | |||||
2.28666 | + | 7.89447i | 0.132909 | + | 0.458857i | |||||
0.613953 | − | 3.00734i | 0.0356252 | − | 0.174504i | |||||
1.18926 | − | 9.79447i | 0.0688922 | − | 0.567378i | |||||
−6.30956 | + | 27.5773i | −0.364891 | + | 1.59484i | |||||
−1.71509 | − | 14.1250i | −0.0990206 | − | 0.815508i | |||||
24.3714 | + | 1.96746i | 1.40474 | + | 0.113403i | |||||
−2.08248 | + | 2.55057i | −0.119833 | + | 0.146769i | |||||
−39.9367 | − | 30.0105i | −2.29430 | − | 1.72406i | |||||
18.0856 | − | 9.49207i | 1.03728 | − | 0.544407i | |||||
−0.519612 | − | 2.54523i | −0.0297529 | − | 0.145739i | |||||
6.85802 | − | 0.553637i | 0.392047 | − | 0.0316493i | |||||
19.4564 | − | 28.1875i | 1.11044 | − | 1.60874i | 0.381181 | − | 0.924500i | ||
0.729254 | − | 0.684243i | ||||||||
0.128595 | − | 3.19106i | 0.00732740 | − | 0.181828i | |||||
−18.4494 | + | 13.8638i | −1.04955 | + | 0.788685i | |||||
1.92850 | − | 4.06423i | 0.109531 | − | 0.230833i | |||||
17.6707 | − | 25.6004i | 1.00201 | − | 1.45167i | 0.113103 | − | 0.993583i | ||
0.888910 | − | 0.458082i | ||||||||
11.3925 | + | 7.58537i | 0.644976 | + | 0.429437i | |||||
−14.3412 | − | 20.7768i | −0.810613 | − | 1.17438i | −0.981946 | − | 0.189162i | ||
0.171333 | − | 0.985213i | ||||||||
−27.8180 | + | 4.52086i | −1.56986 | + | 0.255127i | |||||
3.74985 | + | 6.49494i | 0.211280 | + | 0.365948i | |||||
4.84419 | − | 8.39038i | 0.272507 | − | 0.471996i | |||||
−1.39661 | + | 3.68257i | −0.0784417 | + | 0.206834i | −0.968500 | − | 0.249012i | ||
0.890059 | + | 0.455846i | ||||||||
−36.9826 | + | 38.5029i | −2.07388 | + | 2.15914i | |||||
−0.869358 | + | 1.50577i | −0.0486747 | + | 0.0843070i | |||||
−0.617503 | + | 0.152201i | −0.0345194 | + | 0.00850828i | |||||
36.8086 | + | 5.98198i | 2.05446 | + | 0.333881i | |||||
−29.3889 | − | 18.5844i | −1.63778 | − | 1.03567i | |||||
−2.45712 | + | 3.00943i | −0.136718 | + | 0.167449i | |||||
−4.91350 | + | 2.57881i | −0.272972 | + | 0.143267i | |||||
−2.30727 | + | 15.8704i | −0.127985 | + | 0.880334i | |||||
26.2090 | + | 13.7555i | 1.45158 | + | 0.761849i | |||||
−27.1348 | + | 11.5610i | −1.50056 | + | 0.639327i | |||||
−2.47954 | + | 0.402965i | −0.136910 | + | 0.0222500i | |||||
−1.39258 | − | 0.593323i | −0.0767754 | − | 0.0327109i | |||||
−1.34504 | − | 3.54657i | −0.0740418 | − | 0.195232i | |||||
−19.5488 | − | 3.17699i | −1.07450 | − | 0.174623i | −0.402682 | − | 0.915340i | ||
−0.671817 | + | 0.740717i | ||||||||
0.941149 | + | 1.98343i | 0.0516523 | + | 0.108855i | |||||
−20.7864 | − | 10.9096i | −1.13909 | − | 0.597840i | |||||
0.319925 | − | 1.10451i | 0.0175055 | − | 0.0604361i | |||||
−1.66546 | + | 8.15797i | −0.0909939 | + | 0.445717i | |||||
−26.1151 | + | 19.6242i | −1.42469 | + | 1.07059i | |||||
−17.4782 | −0.952097 | −0.476048 | − | 0.879419i | ||||||
−0.476048 | + | 0.879419i | ||||||||
15.3084 | + | 17.5183i | 0.832666 | + | 0.952868i | |||||
42.7346 | 2.32102 | |||||||||
0.673786 | − | 0.506317i | 0.0365412 | − | 0.0274589i | |||||
−0.725721 | + | 3.55482i | −0.0393000 | + | 0.192504i | |||||
−8.35876 | + | 28.8578i | −0.451990 | + | 1.56045i | |||||
−17.2513 | − | 9.05418i | −0.931483 | − | 0.488880i | |||||
6.04023 | + | 12.7295i | 0.325667 | + | 0.686330i | |||||
−15.3068 | − | 2.48760i | −0.824091 | − | 0.133928i | |||||
−1.36684 | − | 3.60407i | −0.0734820 | − | 0.193756i | |||||
8.50137 | + | 3.62209i | 0.456377 | + | 0.194444i | 0.607907 | − | 0.794009i | ||
−0.151529 | + | 0.988453i | ||||||||
−5.11944 | + | 0.831990i | −0.274431 | + | 0.0445993i | |||||
−8.76694 | + | 3.73525i | −0.469284 | + | 0.199943i | −0.613645 | − | 0.789582i | ||
0.144361 | + | 0.989525i | ||||||||
−17.4540 | − | 9.16059i | −0.932958 | − | 0.489654i | |||||
−10.0752 | + | 2.23314i | −0.537775 | + | 0.119196i | |||||
5.71666 | − | 3.00033i | 0.304699 | − | 0.159918i | |||||
−4.48762 | + | 5.49634i | −0.238852 | + | 0.292541i | −0.880095 | − | 0.474797i | ||
0.641243 | + | 0.767338i | ||||||||
−51.2511 | − | 32.4092i | −2.72396 | − | 1.72253i | |||||
3.55615 | + | 0.577930i | 0.188741 | + | 0.0306734i | |||||
−14.4472 | + | 3.56092i | −0.765702 | + | 0.188728i | |||||
3.10678 | − | 5.38110i | 0.164428 | − | 0.284798i | |||||
32.1917 | − | 33.5151i | 1.70138 | − | 1.77133i | |||||
−8.64168 | + | 22.7862i | −0.456091 | + | 1.20261i | 0.487976 | + | 0.872857i | ||
−0.944067 | + | 0.329755i | ||||||||
−2.16088 | + | 3.74276i | −0.113888 | + | 0.197261i | |||||
1.01754 | + | 1.76243i | 0.0535548 | + | 0.0927597i | |||||
25.9835 | − | 4.22272i | 1.36566 | − | 0.221941i | |||||
−14.8842 | − | 21.5635i | −0.781219 | − | 1.13179i | |||||
−9.97467 | + | 3.97509i | −0.522815 | + | 0.208351i | |||||
4.19055 | − | 6.07106i | 0.219344 | − | 0.317774i | |||||
−7.13493 | + | 15.0365i | −0.372949 | + | 0.785973i | |||||
12.8602 | − | 9.66385i | 0.671300 | − | 0.504449i | −0.209579 | − | 0.977792i | ||
0.880878 | + | 0.473343i | ||||||||
1.56671 | − | 38.8774i | 0.0816703 | − | 2.02663i | |||||
4.07592 | − | 5.90499i | 0.212184 | − | 0.307401i | |||||
−7.63331 | + | 0.616225i | −0.396837 | + | 0.0320360i | |||||
5.55519 | + | 27.2111i | 0.288411 | + | 1.41273i | |||||
−9.58309 | + | 5.02960i | −0.496860 | + | 0.260772i | |||||
−4.56777 | − | 3.43245i | −0.236510 | − | 0.177726i | 0.475879 | − | 0.879511i | ||
−0.712389 | + | 0.701785i | ||||||||
−1.14486 | + | 1.40220i | −0.0591995 | + | 0.0725062i | |||||
−18.6128 | − | 1.50258i | −0.961163 | − | 0.0775931i | |||||
−0.105142 | − | 0.865925i | −0.00542230 | − | 0.0446567i | |||||
5.81420 | + | 0.607416i | 0.299446 | + | 0.0312835i | |||||
1.52892 | − | 12.5918i | 0.0786393 | − | 0.647653i | |||||
7.48493 | − | 36.6636i | 0.384475 | − | 1.88328i | −0.0785042 | − | 0.996914i | ||
0.462979 | − | 0.886369i | ||||||||
1.02392 | + | 3.53499i | 0.0525262 | + | 0.181341i | |||||
42.9732 | − | 3.46915i | 2.20158 | − | 0.177730i | |||||
0.868317 | + | 7.15123i | 0.0444270 | + | 0.365889i | |||||
22.9103 | + | 28.0600i | 1.17066 | + | 1.43380i | 0.878704 | + | 0.477368i | ||
0.291957 | + | 0.956431i | ||||||||
−25.7175 | − | 10.9572i | −1.31239 | − | 0.559157i | |||||
−1.91584 | − | 0.472212i | −0.0976402 | − | 0.0240661i | |||||
23.9457 | − | 24.9301i | 1.21880 | − | 1.26891i | |||||
−38.1731 | − | 12.7440i | −1.94045 | − | 0.647816i | |||||
−7.96090 | − | 2.65774i | −0.404154 | − | 0.134926i | |||||
1.21952 | − | 3.21560i | 0.0618320 | − | 0.163038i | −0.900540 | − | 0.434773i | ||
0.962372 | + | 0.271736i | ||||||||
−9.04826 | + | 8.98691i | −0.458176 | + | 0.455070i | |||||
2.62441 | + | 6.92000i | 0.132722 | + | 0.349959i | |||||
−0.0498457 | − | 1.23691i | −0.00251759 | − | 0.0624734i | |||||
10.6650 | + | 0.860967i | 0.537978 | + | 0.0434301i | |||||
8.77690 | + | 42.9921i | 0.442174 | + | 2.16591i | |||||
−4.48051 | − | 3.96938i | −0.225439 | − | 0.199721i | |||||
−1.46246 | + | 5.04900i | −0.0734913 | + | 0.253722i | |||||
15.3821 | − | 9.72703i | 0.772004 | − | 0.488186i | −0.0894689 | − | 0.995990i | ||
0.861473 | + | 0.507804i | ||||||||
0.717187 | + | 1.03903i | 0.0359494 | + | 0.0520816i | |||||
17.1598 | + | 21.0169i | 0.859064 | + | 1.05216i | |||||
−0.888153 | − | 22.0393i | −0.0444076 | − | 1.10196i | |||||
9.81557 | + | 6.20699i | 0.490166 | + | 0.309962i | 0.756585 | − | 0.653895i | ||
−0.266419 | + | 0.963857i | ||||||||
39.9298 | − | 35.3747i | 1.99152 | − | 1.76433i | |||||
11.9094 | − | 2.63968i | 0.593248 | − | 0.131492i | |||||
16.9046 | + | 14.9761i | 0.841034 | + | 0.745091i | |||||
0.953865 | + | 3.29312i | 0.0473979 | + | 0.163637i | |||||
−3.08029 | + | 6.49157i | −0.152872 | + | 0.322171i | |||||
5.85852 | − | 1.95586i | 0.290396 | − | 0.0969485i | |||||
3.58061 | 0.177267 | |||||||||
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−0.0849883 | + | 0.996382i | ||||||||
0.0942489 | − | 2.33876i | 0.00465462 | − | 0.115503i | |||||
4.18106 | − | 34.4341i | 0.206236 | − | 1.69851i | |||||
8.81800 | − | 5.57617i | 0.434432 | − | 0.274718i | |||||
−29.0204 | + | 12.3644i | −1.42800 | + | 0.608414i | |||||
39.6462 | + | 41.2761i | 1.94850 | + | 2.02861i | |||||
1.31699 | − | 0.324610i | 0.0646487 | − | 0.0159345i | |||||
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−3.95229 | − | 6.84557i | −0.193313 | − | 0.334828i | |||||
−0.0678330 | − | 0.0706216i | −0.00331386 | − | 0.00345009i | 0.719543 | − | 0.694447i | ||
−0.722857 | + | 0.690997i | ||||||||
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−0.0994125 | + | 0.995046i | ||||||||
3.18755 | + | 2.39529i | 0.155168 | + | 0.116601i | |||||
1.99178 | + | 1.49673i | 0.0968436 | + | 0.0727733i | |||||
−11.9792 | + | 10.6126i | −0.581761 | + | 0.515396i | |||||
1.79859 | + | 3.79045i | 0.0872445 | + | 0.183864i | |||||
−15.9901 | − | 16.6475i | −0.774724 | − | 0.806573i | |||||
4.32903 | + | 7.49809i | 0.209496 | + | 0.362858i | |||||
−16.3691 | − | 4.03462i | −0.791230 | − | 0.195021i | |||||
5.35090 | − | 8.78384i | 0.258344 | − | 0.424088i | |||||
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8.69377 | + | 9.05117i | 0.418764 | + | 0.435980i | 0.896851 | − | 0.442333i | ||
−0.478087 | + | 0.878313i | ||||||||
13.0577 | − | 5.56334i | 0.628237 | − | 0.267667i | |||||
9.82064 | − | 6.21020i | 0.471950 | − | 0.298443i | −0.277237 | − | 0.960801i | ||
0.749187 | + | 0.662359i | ||||||||
−1.80726 | + | 14.8841i | −0.0867512 | + | 0.714460i | |||||
−0.129033 | + | 3.20191i | −0.00618664 | + | 0.153520i | |||||
12.6480 | − | 4.22254i | 0.605731 | − | 0.202223i | |||||
−32.3173 | −1.54595 | |||||||||
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9.99425 | − | 21.0624i | 0.477000 | − | 1.00526i | −0.512225 | − | 0.858851i | ||
0.989225 | − | 0.146404i | ||||||||
−0.316349 | − | 1.09216i | −0.0150814 | − | 0.0520669i | |||||
2.64657 | + | 2.34466i | 0.126027 | + | 0.111650i | |||||
5.87347 | + | 1.59522i | 0.279372 | + | 0.0758770i | |||||
5.92760 | − | 5.25139i | 0.281629 | − | 0.249501i | −0.510468 | − | 0.859897i | ||
0.792097 | + | 0.610395i | ||||||||
15.5719 | + | 9.84710i | 0.739012 | + | 0.467323i | |||||
0.370175 | + | 9.18580i | 0.0175480 | + | 0.435449i | |||||
5.86583 | + | 7.18433i | 0.277755 | + | 0.340188i | |||||
8.33105 | + | 12.0696i | 0.394045 | + | 0.570873i | |||||
1.79154 | − | 1.13290i | 0.0846424 | − | 0.0535246i | |||||
−3.67452 | + | 12.6859i | −0.173411 | + | 0.598686i | 0.825977 | + | 0.563704i | ||
−0.999388 | + | 0.0349811i | ||||||||
24.2850 | + | 21.5147i | 1.14481 | + | 1.01421i | |||||
0.377602 | + | 1.84962i | 0.0177806 | + | 0.0870951i | |||||
−19.2571 | − | 1.55459i | −0.905777 | − | 0.0731219i | |||||
−0.197078 | − | 4.89044i | −0.00925954 | − | 0.229773i | |||||
1.34346 | + | 3.54241i | 0.0630516 | + | 0.166254i | |||||
1.17363 | + | 6.52950i | 0.0550207 | + | 0.306108i | |||||
−5.54434 | + | 14.6192i | −0.259638 | + | 0.684608i | |||||
20.8863 | + | 6.97288i | 0.977021 | + | 0.326178i | 0.759952 | − | 0.649979i | ||
0.217069 | + | 0.976156i | ||||||||
39.2346 | + | 13.0985i | 1.83331 | + | 0.612050i | |||||
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6.80706 | + | 1.67779i | 0.317381 | + | 0.0782274i | |||||
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−0.617824 | + | 0.786316i | ||||||||
7.99538 | + | 9.79257i | 0.371979 | + | 0.455592i | |||||
2.51173 | + | 20.6859i | 0.116730 | + | 0.961358i | 0.926938 | + | 0.375215i | ||
−0.810208 | + | 0.586143i | ||||||||
−8.01411 | + | 0.646966i | −0.372046 | + | 0.0300346i | |||||
1.86038 | + | 6.42277i | 0.0862730 | + | 0.297849i | |||||
0.509467 | − | 2.49553i | 0.0236006 | − | 0.115603i | |||||
−2.57704 | + | 21.2238i | −0.119251 | + | 0.982122i | 0.803120 | + | 0.595817i | ||
−0.922371 | + | 0.386305i | ||||||||
17.5063 | − | 2.42361i | 0.809231 | − | 0.112031i | |||||
−3.34499 | − | 27.5485i | −0.154457 | − | 1.27207i | |||||
0.810129 | + | 0.0654004i | 0.0373685 | + | 0.00301670i | |||||
26.4943 | − | 32.4496i | 1.22079 | − | 1.49520i | |||||
−14.5321 | − | 10.9202i | −0.668895 | − | 0.502642i | |||||
9.37543 | − | 4.92061i | 0.431083 | − | 0.226250i | |||||
7.67124 | + | 37.5762i | 0.352352 | + | 1.72593i | |||||
−18.2610 | + | 1.47418i | −0.837872 | + | 0.0676400i | |||||
−1.59573 | + | 2.31182i | −0.0731402 | + | 0.105962i | |||||
1.84061 | − | 45.6744i | 0.0842760 | − | 2.09129i | |||||
5.11844 | − | 3.84625i | 0.234112 | − | 0.175924i | |||||
−4.15778 | + | 8.76233i | −0.189974 | + | 0.400361i | −0.975981 | − | 0.217856i | ||
0.786007 | + | 0.618217i | ||||||||
6.75936 | − | 9.79263i | 0.308521 | − | 0.446970i | |||||
−14.0286 | − | 15.3109i | −0.639649 | − | 0.698118i | |||||
−10.7473 | − | 15.5702i | −0.489527 | − | 0.709203i | |||||
51.0166 | − | 8.29101i | 2.32134 | − | 0.377254i | |||||
5.92270 | + | 10.2584i | 0.269214 | + | 0.466292i | |||||
−2.59273 | + | 4.49073i | −0.117730 | + | 0.203914i | |||||
13.2382 | − | 34.9063i | 0.600498 | − | 1.58338i | |||||
9.17143 | − | 9.54847i | 0.415597 | − | 0.432683i | −0.480191 | − | 0.877164i | ||
0.895788 | + | 0.444481i | ||||||||
−2.49463 | + | 4.32083i | −0.112927 | + | 0.195595i | |||||
−42.7189 | + | 10.5293i | −1.93181 | + | 0.476149i | |||||
1.13851 | + | 0.185025i | 0.0514325 | + | 0.00835860i | |||||
16.9426 | + | 10.7139i | 0.764610 | + | 0.483510i | 0.858969 | − | 0.512028i | ||
−0.0943585 | + | 0.995538i | ||||||||
−3.56145 | + | 4.36198i | −0.160562 | + | 0.196653i | |||||
1.35416 | − | 0.710718i | 0.0609883 | − | 0.0320091i | |||||
−15.6078 | + | 21.5106i | −0.702228 | + | 0.967808i | |||||
2.87571 | + | 1.50929i | 0.129253 | + | 0.0678374i | |||||
−15.4348 | + | 6.57614i | −0.693041 | + | 0.295277i | |||||
−11.8524 | + | 1.92621i | −0.531654 | + | 0.0864022i | |||||
−7.99502 | − | 3.40636i | −0.358265 | − | 0.152643i | |||||
−2.63204 | − | 6.94013i | −0.117827 | − | 0.310683i | 0.863109 | − | 0.505018i | ||
−0.980935 | + | 0.194335i | ||||||||
8.33266 | + | 1.35419i | 0.372648 | + | 0.0605612i | |||||
0.732745 | + | 1.54423i | 0.0327366 | + | 0.0689910i | |||||
−2.12351 | − | 1.11450i | −0.0947768 | − | 0.0497427i | |||||
−0.116889 | + | 0.403546i | −0.00521181 | + | 0.0179932i | −0.963082 | − | 0.269209i | ||
0.957870 | + | 0.287202i | ||||||||
2.88120 | − | 14.1131i | 0.128339 | − | 0.628646i | |||||
11.1551 | − | 8.38248i | 0.496393 | − | 0.373015i | |||||
−15.0578 | −0.669403 | |||||||||
−34.2996 | − | 4.40171i | −1.52330 | − | 0.195487i | |||||
−19.4908 | −0.864763 | |||||||||
−15.0918 | + | 11.3407i | −0.668932 | + | 0.502670i | −0.880105 | − | 0.474779i | ||
0.211173 | + | 0.977449i | ||||||||
−0.667343 | + | 3.26886i | −0.0295505 | + | 0.144748i | |||||
−6.84046 | + | 23.6160i | −0.302604 | + | 1.04471i | |||||
13.9029 | + | 7.29681i | 0.614428 | + | 0.322477i | |||||
−5.05380 | − | 10.6507i | −0.223131 | − | 0.470238i | |||||
−23.5076 | − | 3.82036i | −1.03688 | − | 0.168509i | |||||
−2.28580 | − | 6.02717i | −0.100724 | − | 0.265589i | |||||
29.0574 | + | 12.3802i | 1.27918 | + | 0.545008i | |||||
−0.647015 | + | 0.105150i | −0.0284557 | + | 0.00462450i | |||||
23.4817 | − | 10.0046i | 1.03173 | − | 0.439577i | |||||
5.07323 | + | 2.66263i | 0.222690 | + | 0.116877i | |||||
−2.92041 | + | 2.46704i | −0.128069 | + | 0.108187i | |||||
12.7827 | − | 6.70887i | 0.560019 | − | 0.293921i | −0.160865 | − | 0.986976i | ||
0.720884 | + | 0.693056i | ||||||||
7.47963 | − | 9.16089i | 0.327375 | − | 0.400961i | |||||
25.7360 | + | 16.2744i | 1.12535 | + | 0.711631i | 0.961487 | − | 0.274851i | ||
0.163868 | + | 0.986482i | ||||||||
−4.77454 | − | 0.775939i | −0.208577 | − | 0.0338970i | |||||
28.4489 | − | 7.01202i | 1.24161 | − | 0.306030i | |||||
0.649469 | − | 1.12491i | 0.0283182 | − | 0.0490485i | |||||
2.21064 | − | 2.30152i | 0.0962972 | − | 0.100256i | |||||
−5.01628 | + | 13.2268i | −0.218306 | + | 0.575624i | |||||
−19.2814 | + | 33.3964i | −0.838323 | + | 1.45202i | |||||
−7.45600 | − | 12.9142i | −0.323868 | − | 0.560956i | |||||
51.2479 | − | 8.32860i | 2.22397 | − | 0.361430i | |||||
−6.96800 | − | 10.0949i | −0.302101 | − | 0.437669i | |||||
5.16239 | − | 3.69241i | 0.223608 | − | 0.159936i | |||||
33.4594 | − | 48.4743i | 1.44793 | − | 2.09769i | |||||
−4.46535 | + | 9.41052i | −0.193054 | + | 0.406852i | |||||
12.7844 | − | 9.60684i | 0.552201 | − | 0.414952i | |||||
−2.78141 | + | 69.0199i | −0.120027 | + | 2.97843i | |||||
16.7236 | − | 24.2282i | 0.721004 | − | 1.04455i | |||||
−0.927249 | + | 0.0748553i | −0.0399394 | + | 0.00322425i | |||||
0.511551 | + | 2.50574i | 0.0220137 | + | 0.107830i | |||||
−20.4545 | + | 10.7354i | −0.879410 | + | 0.461550i | −0.843079 | − | 0.537790i | ||
−0.0363308 | + | 0.999340i | ||||||||
−30.6326 | − | 23.0189i | −1.31578 | − | 0.988747i | |||||
−24.7471 | + | 30.3097i | −1.06200 | + | 1.30071i | |||||
−5.66029 | − | 0.456946i | −0.242683 | − | 0.0195914i | |||||
−0.993040 | − | 8.17842i | −0.0425371 | − | 0.350325i | |||||
19.1202 | − | 37.9612i | 0.818268 | − | 1.62459i | |||||
1.06447 | − | 8.76666i | 0.0455132 | − | 0.374835i | −0.952100 | − | 0.305787i | ||
0.997613 | − | 0.0690486i | ||||||||
−3.13671 | + | 15.3646i | −0.133994 | + | 0.656344i | |||||
−3.96476 | − | 13.6879i | −0.169212 | − | 0.584186i | |||||
−8.50847 | + | 0.686875i | −0.362803 | + | 0.0292885i | |||||
0.804953 | + | 6.62938i | 0.0342921 | + | 0.282421i | |||||
18.8370 | + | 23.0712i | 0.801757 | + | 0.981973i | |||||
18.3542 | + | 7.81998i | 0.780498 | + | 0.332539i | |||||
8.79704 | + | 2.16827i | 0.373750 | + | 0.0921212i | |||||
7.88546 | − | 8.20964i | 0.334719 | − | 0.348480i | |||||
13.1961 | + | 4.40552i | 0.559641 | + | 0.186836i | |||||
−16.4447 | − | 5.49006i | −0.696785 | − | 0.232621i | −0.0538584 | − | 0.998549i | ||
−0.642927 | + | 0.765927i | ||||||||
8.75100 | − | 23.0745i | 0.370459 | − | 0.976821i | |||||
−27.9484 | − | 22.0500i | −1.18209 | − | 0.932617i | |||||
−3.23555 | − | 8.53144i | −0.136727 | − | 0.360519i | |||||
−0.108346 | − | 2.68857i | −0.00457436 | − | 0.113512i | |||||
41.4424 | + | 3.34558i | 1.74814 | + | 0.141125i | |||||
−3.81516 | − | 18.6879i | −0.160790 | − | 0.787600i | −0.977563 | − | 0.210642i | ||
0.816774 | − | 0.576958i | ||||||||
−1.46362 | − | 1.29665i | −0.0616295 | − | 0.0545989i | |||||
−3.32096 | + | 11.4653i | −0.139714 | + | 0.482348i | |||||
22.5911 | − | 14.2858i | 0.949576 | − | 0.600475i | |||||
−6.49124 | − | 9.40418i | −0.272606 | − | 0.394938i | |||||
−4.37630 | − | 5.36000i | −0.183626 | − | 0.224901i | |||||
0.244956 | + | 6.07853i | 0.0102691 | + | 0.254825i | 0.996167 | + | 0.0874753i | ||
−0.985898 | + | 0.167350i | ||||||||
−12.3131 | − | 7.78631i | −0.515738 | − | 0.326133i | |||||
−15.8080 | + | 14.0047i | −0.661544 | + | 0.586077i | −0.925633 | − | 0.378421i | ||
0.264089 | + | 0.964498i | ||||||||
−2.73076 | + | 3.76352i | −0.114179 | + | 0.157361i | |||||
−8.01494 | − | 7.10062i | −0.334829 | − | 0.296633i | |||||
2.17045 | + | 7.49327i | 0.0905929 | + | 0.312763i | |||||
−14.9611 | + | 31.5299i | −0.623922 | + | 1.31489i | |||||
−3.30932 | + | 1.10481i | −0.137888 | + | 0.0460339i | |||||
−34.8469 | −1.45069 | −0.725347 | − | 0.688384i | ||||||
−0.725347 | + | 0.688384i | ||||||||
−27.3468 | + | 9.12972i | −1.13748 | + | 0.379746i | |||||
−2.06894 | + | 51.3402i | −0.0859821 | + | 2.13362i | |||||
0.174623 | − | 1.43815i | 0.00725083 | − | 0.0597160i | |||||
−3.82096 | + | 2.41623i | −0.158520 | + | 0.100242i | |||||
30.5644 | − | 13.0223i | 1.26693 | − | 0.539790i | |||||
8.33119 | + | 8.67368i | 0.345043 | + | 0.359227i | |||||
−13.7566 | + | 3.39069i | −0.569251 | + | 0.140308i | |||||
0.696364 | − | 10.8971i | 0.0287911 | − | 0.450540i | |||||
−46.2361 | − | 11.3962i | −1.91000 | − | 0.470772i | |||||
−0.208841 | − | 0.361724i | −0.00861981 | − | 0.0149299i | 0.861683 | − | 0.507446i | ||
−0.870303 | + | 0.492516i | ||||||||
−1.92230 | − | 2.00133i | −0.0792745 | − | 0.0825335i | |||||
5.97383 | + | 12.5896i | 0.246147 | + | 0.518745i | |||||
12.6779 | − | 11.2316i | 0.521939 | − | 0.462398i | |||||
−52.1418 | − | 39.1820i | −2.14483 | − | 1.61173i | |||||
22.8328 | + | 17.1577i | 0.938422 | + | 0.705178i | |||||
18.2958 | − | 16.2086i | 0.751317 | − | 0.665609i | −0.197903 | − | 0.980222i | ||
0.949220 | + | 0.314613i | ||||||||
−2.35475 | − | 4.96254i | −0.0966167 | − | 0.203615i | |||||
1.20227 | + | 1.25169i | 0.0492881 | + | 0.0513143i | |||||
−3.31507 | − | 5.74188i | −0.135791 | − | 0.235196i | |||||
−1.82210 | − | 0.449106i | −0.0745734 | − | 0.0183807i | |||||
20.6208 | + | 46.2371i | 0.843246 | + | 1.89077i | |||||
43.0382 | − | 10.6080i | 1.75849 | − | 0.433430i | 0.777726 | − | 0.628604i | ||
0.980769 | + | 0.195174i | ||||||||
11.6963 | + | 12.1772i | 0.477500 | + | 0.497130i | |||||
1.18719 | − | 0.505816i | 0.0484267 | − | 0.0206327i | −0.367617 | − | 0.929977i | ||
0.416044 | + | 0.909344i | ||||||||
36.9824 | − | 23.3863i | 1.50729 | − | 0.953153i | |||||
−5.50563 | + | 45.3429i | −0.224207 | + | 1.84651i | |||||
−0.0890963 | + | 2.21090i | −0.00362528 | + | 0.0899603i | |||||
6.94196 | − | 2.31757i | 0.282231 | − | 0.0942225i | |||||
−89.3994 | −3.63160 | |||||||||
−14.6111 | + | 4.87791i | −0.593047 | + | 0.197988i | −0.597321 | − | 0.802003i | ||
0.00427324 | + | 0.999991i | ||||||||
10.6303 | − | 22.4028i | 0.431114 | − | 0.908553i | |||||
−2.97148 | − | 10.2587i | −0.120410 | − | 0.415705i | |||||
−3.47970 | − | 3.08274i | −0.140889 | − | 0.124817i | |||||
1.20892 | + | 1.84275i | 0.0489078 | + | 0.0745496i | |||||
3.46076 | − | 3.06597i | 0.139893 | − | 0.123934i | |||||
8.77238 | + | 5.54732i | 0.354313 | + | 0.224054i | 0.699750 | − | 0.714388i | ||
−0.345437 | + | 0.938442i | ||||||||
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2.20042 | + | 2.69502i | 0.0887293 | + | 0.108674i | |||||
2.15282 | + | 3.11890i | 0.0867395 | + | 0.125664i | |||||
1.07188 | − | 0.677817i | 0.0431523 | − | 0.0272879i | −0.512715 | − | 0.858559i | ||
0.555868 | + | 0.831271i | ||||||||
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0.713247 | + | 0.631881i | 0.0286678 | + | 0.0253975i | 0.677335 | − | 0.735675i | ||
−0.648667 | + | 0.761072i | ||||||||
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47.4842 | − | 2.71019i | 1.90089 | − | 0.108494i | |||||
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12.3473 | + | 5.26070i | 0.491929 | + | 0.209591i | |||||
23.4426 | + | 28.7120i | 0.933237 | + | 1.14301i | 0.989492 | + | 0.144591i | ||
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1.38577 | + | 11.4129i | 0.0551231 | + | 0.453980i | |||||
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1.96095 | + | 6.76998i | 0.0778792 | + | 0.268870i | |||||
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1.49966 | + | 2.74473i | 0.0594188 | + | 0.108750i | |||||
0.375057 | + | 3.08888i | 0.0148487 | + | 0.122290i | |||||
19.7001 | + | 1.59036i | 0.779325 | + | 0.0629136i | |||||
4.93825 | − | 6.04826i | 0.195202 | − | 0.239078i | |||||
9.96600 | + | 7.48897i | 0.393633 | + | 0.295796i | 0.779069 | − | 0.626939i | ||
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59.0918 | − | 31.0138i | 2.33217 | − | 1.22402i | |||||
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11.0855 | − | 16.0601i | 0.436491 | − | 0.632366i | |||||
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31.7679 | − | 23.8720i | 1.24892 | − | 0.938505i | 0.249370 | − | 0.968408i | ||
0.999553 | + | 0.0299032i | ||||||||
2.82288 | − | 5.94909i | 0.110893 | − | 0.233702i | |||||
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13.7610 | + | 25.1857i | 0.539749 | + | 0.987866i | |||||
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19.6330 | − | 3.19068i | 0.768888 | − | 0.124957i | |||||
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20.2340 | − | 35.0464i | 0.789405 | − | 1.36729i | |||||
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0.698331 | + | 0.715775i | ||||||||
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11.7034 | + | 4.98636i | 0.453158 | + | 0.193073i | |||||
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6.38770 | + | 13.4618i | 0.246779 | + | 0.520075i | |||||
3.31987 | + | 1.74240i | 0.128162 | + | 0.0672646i | |||||
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2.21321 | − | 10.8410i | 0.0853130 | − | 0.417891i | −0.914596 | − | 0.404370i | ||
0.999909 | − | 0.0135210i | ||||||||
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−12.7308 | −0.490008 | |||||||||
15.2960 | + | 3.23125i | 0.588307 | + | 0.124279i | |||||
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61.1388 | − | 45.9428i | 2.34802 | − | 1.76442i | |||||
3.45700 | − | 16.9335i | 0.132668 | − | 0.649848i | |||||
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2.78343 | + | 5.86595i | 0.106583 | + | 0.224619i | |||||
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7.15924 | + | 18.8774i | 0.273740 | + | 0.721794i | |||||
8.91343 | + | 3.79766i | 0.340565 | + | 0.145101i | |||||
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43.3540 | + | 22.7539i | 1.65285 | + | 0.867485i | |||||
15.2246 | − | 37.4601i | 0.580013 | − | 1.42711i | |||||
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0.219342 | + | 0.975648i | ||||||||
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16.0566 | − | 3.95760i | 0.609501 | − | 0.150228i | |||||
4.29775 | − | 7.44392i | 0.163023 | − | 0.282364i | |||||
4.26349 | − | 4.43877i | 0.161607 | − | 0.168251i | |||||
0.588800 | − | 1.55254i | 0.0223024 | − | 0.0588066i | |||||
−8.52688 | + | 14.7690i | −0.322747 | + | 0.559015i | |||||
1.89297 | + | 3.27872i | 0.0715986 | + | 0.124012i | |||||
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−0.267545 | − | 0.963545i | ||||||||
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13.4758 | − | 19.5231i | 0.508249 | − | 0.736326i | |||||
0.393507 | − | 0.829298i | 0.0148308 | − | 0.0312553i | |||||
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0.616305 | − | 0.787508i | ||||||||
5.70897 | − | 2.99630i | 0.214254 | − | 0.112449i | |||||
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11.1670 | − | 13.6771i | 0.418501 | − | 0.512570i | |||||
26.4594 | + | 2.13602i | 0.990912 | + | 0.0799947i | |||||
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1.94079 | + | 2.11820i | 0.0725816 | + | 0.0792161i | |||||
3.76415 | − | 31.0006i | 0.140673 | − | 1.15855i | |||||
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12.1336 | + | 41.8899i | 0.452820 | + | 1.56332i | |||||
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−0.259372 | + | 0.965778i | ||||||||
1.81023 | + | 14.9086i | 0.0674634 | + | 0.555611i | |||||
13.5876 | + | 16.6418i | 0.506030 | + | 0.619775i | |||||
3.35051 | + | 1.42752i | 0.124693 | + | 0.0531267i | |||||
27.3048 | + | 6.73003i | 1.01548 | + | 0.250292i | |||||
12.2541 | − | 12.7579i | 0.455421 | − | 0.474144i | |||||
6.84051 | + | 2.28370i | 0.254050 | + | 0.0848144i | |||||
−44.4767 | − | 14.8485i | −1.65069 | − | 0.551080i | |||||
2.65683 | − | 7.00548i | 0.0985363 | − | 0.259819i | −0.876679 | − | 0.481075i | ||
0.975216 | + | 0.221256i | ||||||||
6.62882 | − | 10.8816i | 0.245681 | − | 0.403300i | |||||
14.7688 | + | 38.9422i | 0.546994 | + | 1.44230i | |||||
−0.531571 | − | 13.1908i | −0.0196743 | − | 0.488214i | |||||
−9.28299 | − | 0.749401i | −0.343344 | − | 0.0277176i | |||||
2.23714 | + | 10.9583i | 0.0826872 | + | 0.405029i | |||||
7.28926 | + | 6.45772i | 0.269235 | + | 0.238521i | 0.786928 | − | 0.617045i | ||
−0.517693 | + | 0.855567i | ||||||||
8.00934 | − | 27.6514i | 0.295630 | − | 1.02063i | |||||
−1.44909 | + | 0.916346i | −0.0534503 | + | 0.0337999i | |||||
−26.8336 | − | 38.8752i | −0.989100 | − | 1.43296i | |||||
−7.60033 | − | 9.30871i | −0.279962 | − | 0.342891i | |||||
−0.517030 | − | 12.8300i | −0.0190321 | − | 0.472277i | |||||
−4.74035 | − | 2.99762i | −0.174377 | − | 0.110269i | 0.444426 | − | 0.895816i | ||
−0.618803 | + | 0.785546i | ||||||||
−3.85200 | + | 3.41257i | −0.141602 | + | 0.125449i | |||||
−3.83730 | − | 39.3172i | −0.140967 | − | 1.44435i | |||||
37.2016 | + | 32.9577i | 1.36571 | + | 1.20992i | |||||
2.50521 | + | 8.64899i | 0.0919073 | + | 0.317301i | 0.993279 | − | 0.115746i | ||
−0.901372 | + | 0.433046i | ||||||||
5.50562 | − | 11.6029i | 0.201846 | − | 0.425381i | |||||
−3.88558 | + | 1.29720i | −0.142357 | + | 0.0475256i | |||||
−10.2251 | −0.374367 | |||||||||
7.05803 | − | 2.35632i | 0.258240 | − | 0.0862131i | |||||
−0.0489816 | + | 1.21547i | −0.00179094 | + | 0.0444418i | |||||
4.18462 | − | 34.4634i | 0.152903 | − | 1.25927i | |||||
−28.2441 | + | 17.8605i | −1.03133 | + | 0.652173i | |||||
−35.3339 | + | 15.0544i | −1.28935 | + | 0.549341i | −0.924307 | − | 0.381649i | ||
−0.365044 | + | 0.930990i | ||||||||
−2.09978 | − | 2.18610i | −0.0765710 | − | 0.0797189i | |||||
3.46117 | − | 0.853102i | 0.126132 | − | 0.0310888i | |||||
8.97118 | − | 5.38168i | 0.326711 | − | 0.195989i | |||||
1.32737 | + | 0.327168i | 0.0483081 | + | 0.0119069i | |||||
−4.26187 | − | 7.38178i | −0.155003 | − | 0.268473i | |||||
−29.3794 | − | 30.5872i | −1.06781 | − | 1.11171i | −0.993426 | − | 0.114480i | ||
−0.0743860 | − | 0.997230i | ||||||||
−28.7077 | − | 60.5001i | −1.04271 | − | 2.19746i | |||||
16.7534 | − | 14.8422i | 0.608111 | − | 0.538739i | |||||
−3.49134 | − | 2.62357i | −0.126644 | − | 0.0951670i | |||||
−5.35190 | − | 4.02169i | −0.194006 | − | 0.145786i | 0.499300 | − | 0.866429i | ||
−0.693307 | + | 0.720643i | ||||||||
57.7505 | − | 51.1625i | 2.09208 | − | 1.85342i | |||||
11.7712 | + | 24.8073i | 0.426146 | + | 0.898083i | |||||
3.35339 | + | 3.49125i | 0.121321 | + | 0.126309i | |||||
−1.42831 | − | 2.47390i | −0.0516406 | − | 0.0894441i | |||||
62.9435 | + | 15.5142i | 2.27424 | + | 0.560550i | |||||
45.1472 | + | 8.43236i | 1.63017 | + | 0.304475i | |||||
−52.9944 | + | 13.0619i | −1.91227 | + | 0.471332i | |||||
4.96448 | + | 5.16858i | 0.179024 | + | 0.186384i | 0.804668 | − | 0.593725i | ||
−0.625644 | + | 0.780109i | ||||||||
−3.24858 | + | 1.38409i | −0.117071 | + | 0.0498792i | |||||
29.9204 | − | 18.9205i | 1.07756 | − | 0.681406i | |||||
2.79995 | − | 23.0597i | 0.100772 | − | 0.829935i | |||||
−1.17789 | + | 29.2290i | −0.0423658 | + | 1.05130i | 0.828566 | + | 0.559891i | ||
−0.870932 | + | 0.491404i | ||||||||
−68.3136 | + | 22.8064i | −2.45548 | + | 0.819760i | |||||
15.0484 | 0.540554 | |||||||||
9.44679 | − | 3.15380i | 0.339120 | − | 0.113215i | |||||
−16.2645 | + | 34.2766i | −0.583485 | + | 1.22967i | |||||
−1.71229 | − | 5.91152i | −0.0613886 | − | 0.211938i | |||||
5.42712 | + | 4.80801i | 0.194447 | + | 0.172265i | |||||
−1.23294 | + | 8.48067i | −0.0441462 | + | 0.303657i | |||||
−3.89224 | + | 3.44822i | −0.139275 | + | 0.123387i | |||||
11.1942 | + | 7.07875i | 0.400302 | + | 0.253136i | |||||
0.186857 | + | 4.63681i | 0.00667773 | + | 0.165706i | |||||
−2.72062 | − | 3.33215i | −0.0971649 | − | 0.119005i | |||||
6.64702 | + | 9.62987i | 0.237242 | + | 0.343705i | |||||
16.1836 | − | 10.2339i | 0.577251 | − | 0.365031i | |||||
11.7712 | − | 40.6391i | 0.419600 | − | 1.44863i | −0.421045 | − | 0.907040i | ||
0.840645 | − | 0.541587i | ||||||||
22.0708 | + | 19.5530i | 0.786240 | + | 0.696547i | |||||
0.386204 | + | 1.89175i | 0.0137492 | + | 0.0673482i | |||||
−10.6775 | − | 0.861975i | −0.379888 | − | 0.0306677i | |||||
−1.60193 | − | 39.7515i | −0.0569582 | − | 1.41340i | |||||
−2.21190 | − | 5.83231i | −0.0785965 | − | 0.207242i | |||||
0.803919 | − | 12.5802i | 0.0285480 | − | 0.446736i | |||||
11.5493 | − | 30.4530i | 0.409869 | − | 1.08073i | |||||
21.0249 | + | 7.01913i | 0.745675 | + | 0.248943i | |||||
0.804736 | + | 0.268660i | 0.0285231 | + | 0.00952241i | |||||
7.96313 | − | 8.29050i | 0.282069 | − | 0.293665i | −0.565063 | − | 0.825048i | ||
0.847132 | + | 0.531383i | ||||||||
47.1446 | + | 11.6201i | 1.66890 | + | 0.411347i | |||||
0.530430 | + | 0.225995i | 0.0187652 | + | 0.00799512i | |||||
−16.9357 | − | 20.7425i | −0.598769 | − | 0.733359i | |||||
6.07894 | + | 50.0646i | 0.214789 | + | 1.76894i | |||||
20.7157 | − | 1.67235i | 0.731498 | − | 0.0590526i | |||||
2.96223 | + | 10.2268i | 0.104535 | + | 0.360896i | |||||
7.17050 | − | 35.1234i | 0.252884 | − | 1.23871i | |||||
−1.74017 | + | 14.3316i | −0.0613329 | + | 0.505122i | |||||
14.2004 | − | 16.5799i | 0.500189 | − | 0.584003i | |||||
5.27464 | + | 43.4406i | 0.185676 | + | 1.52918i | |||||
−26.7127 | − | 2.15647i | −0.939749 | − | 0.0758643i | |||||
31.9635 | − | 39.1482i | 1.12378 | − | 1.37638i | 0.206346 | − | 0.978479i | ||
0.917430 | − | 0.397897i | ||||||||
4.90501 | + | 3.68588i | 0.172344 | + | 0.129508i | |||||
−26.7927 | + | 14.0619i | −0.940818 | + | 0.493779i | −0.864126 | − | 0.503275i | ||
−0.0766919 | + | 0.997055i | ||||||||
0.965819 | + | 4.73089i | 0.0338936 | + | 0.166022i | |||||
56.7714 | − | 4.58306i | 1.99106 | − | 0.160735i | |||||
6.27888 | − | 9.09652i | 0.220074 | − | 0.318833i | |||||
0.494839 | − | 12.2793i | 0.0173334 | − | 0.430125i | |||||
9.94715 | − | 7.47480i | 0.348220 | − | 0.261670i | |||||
17.4338 | − | 36.7410i | 0.609933 | − | 1.28541i | |||||
−16.2886 | + | 23.5982i | −0.569519 | + | 0.825090i | |||||
9.29969 | + | 35.1852i | 0.324957 | + | 1.22947i | |||||
−0.893513 | − | 1.29448i | −0.0312028 | − | 0.0452051i | |||||
26.9091 | − | 4.37315i | 0.939134 | − | 0.152624i | 0.328471 | − | 0.944514i | ||
0.610664 | + | 0.791890i | ||||||||
−31.0375 | − | 53.7586i | −1.08256 | − | 1.87505i | |||||
16.2153 | − | 28.0856i | 0.565228 | − | 0.979004i | −0.431800 | − | 0.901969i | ||
0.997028 | − | 0.0770348i | ||||||||
−4.39018 | + | 11.5760i | −0.152939 | + | 0.403268i | |||||
8.78953 | − | 9.15087i | 0.306012 | − | 0.318593i | |||||
−28.2257 | + | 48.8884i | −0.982099 | + | 1.70104i | |||||
0.281668 | − | 0.0694250i | 0.00979457 | − | 0.00241414i | −0.234415 | − | 0.972137i | ||
0.244210 | + | 0.969722i | ||||||||
37.9616 | + | 6.16937i | 1.31926 | + | 0.214400i | |||||
35.5396 | + | 22.4739i | 1.23434 | + | 0.780551i | 0.982327 | − | 0.187172i | ||
0.252015 | + | 0.967723i | ||||||||
1.53520 | − | 1.88027i | 0.0532874 | − | 0.0652652i | |||||
−11.9249 | + | 6.25865i | −0.413669 | + | 0.217110i | |||||
−3.08535 | − | 0.0726424i | −0.106965 | − | 0.00251842i | |||||
0.724516 | + | 0.380256i | 0.0251030 | + | 0.0131751i | |||||
−50.6641 | + | 21.5859i | −1.75435 | + | 0.747460i | |||||
−0.471244 | + | 0.0765846i | −0.0163081 | + | 0.00265032i | |||||
−4.88677 | − | 2.08206i | −0.169012 | − | 0.0720094i | |||||
3.43378 | + | 9.05412i | 0.118689 | + | 0.312956i | |||||
−0.172970 | − | 0.0281103i | −0.00597513 | − | 0.000971054i | |||||
14.0457 | + | 29.6007i | 0.484911 | + | 1.02193i | 0.987532 | + | 0.157421i | ||
−0.502620 | + | 0.864507i | ||||||||
6.18457 | + | 3.24591i | 0.213388 | + | 0.111995i | |||||
−7.33694 | + | 25.3301i | −0.252998 | + | 0.873450i | |||||
−10.7857 | + | 52.8321i | −0.371701 | + | 1.82071i | |||||
−49.4067 | + | 37.1267i | −1.70166 | + | 1.27871i | |||||
2.67938 | 0.0922281 | |||||||||
3.84640 | − | 8.86020i | 0.132320 | − | 0.304800i | |||||
4.45866 | 0.153292 | |||||||||
−19.5004 | + | 14.6536i | −0.670040 | + | 0.503502i | |||||
−11.1242 | + | 54.4901i | −0.382007 | + | 1.87120i | |||||
−11.0538 | + | 38.1621i | −0.379365 | + | 1.30972i | |||||
6.64819 | + | 3.48924i | 0.228031 | + | 0.119680i | |||||
−19.3725 | − | 40.8267i | −0.664082 | − | 1.39952i | |||||
−15.3107 | − | 2.48823i | −0.524536 | − | 0.0852454i | |||||
5.77904 | + | 15.2381i | 0.197871 | + | 0.521742i | 0.996823 | − | 0.0796526i | ||
−0.798952 | + | 0.601395i | ||||||||
14.2544 | + | 6.07323i | 0.487775 | + | 0.207822i | |||||
12.3123 | − | 2.00095i | 0.421072 | − | 0.0684309i | |||||
18.4048 | − | 7.84155i | 0.629063 | − | 0.268019i | |||||
4.46896 | + | 2.34549i | 0.152657 | + | 0.0801205i | 0.539322 | − | 0.842100i | ||
−0.386665 | + | 0.922220i | ||||||||
−1.78794 | − | 18.3193i | −0.0610393 | − | 0.625411i | |||||
8.20267 | − | 4.30509i | 0.279872 | − | 0.146888i | −0.318947 | − | 0.947772i | ||
0.598819 | + | 0.800885i | ||||||||
−5.57958 | + | 6.83374i | −0.190262 | + | 0.233029i | |||||
−9.80084 | − | 6.19768i | −0.334012 | − | 0.211216i | |||||
22.1685 | + | 3.60274i | 0.755063 | + | 0.122710i | |||||
−29.8596 | + | 7.35974i | −1.01643 | + | 0.250528i | −0.712131 | − | 0.702047i | ||
−0.304303 | + | 0.952575i | ||||||||
8.61566 | − | 14.9228i | 0.293111 | − | 0.507682i | |||||
−1.10861 | + | 1.15418i | −0.0376937 | + | 0.0392433i | |||||
7.37361 | − | 19.4426i | 0.250565 | − | 0.660687i | |||||
21.4272 | − | 37.1131i | 0.727707 | − | 1.26043i | |||||
5.03774 | + | 8.72562i | 0.170992 | + | 0.296167i | |||||
8.52764 | − | 1.38588i | 0.289280 | − | 0.0470126i | |||||
3.25769 | + | 4.71957i | 0.110446 | + | 0.160009i | |||||
−18.1754 | + | 36.0855i | −0.615851 | + | 1.22271i | |||||
−8.98854 | + | 13.0221i | −0.304390 | + | 0.440985i | |||||
−12.1947 | + | 25.6998i | −0.412728 | + | 0.869807i | |||||
−46.2352 | + | 34.7435i | −1.56393 | + | 1.17522i | |||||
−0.699983 | + | 17.3699i | −0.0236638 | + | 0.587210i | |||||
−18.0421 | + | 26.1385i | −0.609585 | + | 0.883136i | |||||
−5.51633 | + | 0.445324i | −0.186273 | + | 0.0150375i | −0.173251 | − | 0.984878i | ||
−0.0130220 | + | 0.999915i | ||||||||
−8.34527 | − | 40.8778i | −0.281639 | − | 1.37956i | |||||
62.6755 | − | 32.8947i | 2.11399 | − | 1.10951i | |||||
−3.15881 | − | 2.37369i | −0.106484 | − | 0.0800172i | |||||
−2.55624 | + | 3.13083i | −0.0861220 | + | 0.105480i | −0.815868 | − | 0.578238i | ||
0.729746 | + | 0.683718i | ||||||||
6.30703 | + | 0.509156i | 0.212369 | + | 0.0171442i | |||||
−1.72218 | − | 14.1834i | −0.0579560 | − | 0.477310i | −0.992573 | − | 0.121654i | ||
0.934617 | − | 0.355657i | ||||||||
3.79932 | − | 1.51410i | 0.127785 | − | 0.0509247i | |||||
−3.03466 | + | 24.9927i | −0.102009 | + | 0.840120i | |||||
2.83476 | − | 13.8856i | 0.0952357 | − | 0.466495i | |||||
10.3958 | + | 35.8903i | 0.349055 | + | 1.20508i | 0.922552 | + | 0.385872i | ||
−0.573497 | + | 0.819208i | ||||||||
−21.7921 | + | 1.75924i | −0.731296 | + | 0.0590363i | |||||
−4.83787 | − | 39.8434i | −0.162257 | − | 1.33630i | |||||
10.4050 | + | 12.7438i | 0.348777 | + | 0.427174i | |||||
−4.55241 | − | 1.93960i | −0.152511 | − | 0.0649790i | |||||
6.05151 | + | 1.49156i | 0.202620 | + | 0.0499412i | |||||
−1.74405 | + | 1.81575i | −0.0583623 | + | 0.0607616i | |||||
24.8947 | + | 8.31106i | 0.832602 | + | 0.277963i | |||||
−18.3012 | − | 6.10985i | −0.611742 | − | 0.204230i | |||||
−9.22831 | + | 24.3330i | −0.308296 | + | 0.812910i | |||||
−68.5178 | − | 31.1181i | −2.28774 | − | 1.03900i | |||||
8.38130 | + | 22.0997i | 0.279687 | + | 0.737475i | |||||
−0.220874 | − | 5.48093i | −0.00736655 | − | 0.182799i | |||||
21.7318 | + | 1.75437i | 0.724392 | + | 0.0584789i | |||||
−2.11596 | − | 10.3646i | −0.0704927 | − | 0.345296i | |||||
2.52870 | + | 2.24023i | 0.0841965 | + | 0.0745915i | |||||
−18.0954 | + | 62.4726i | −0.602178 | + | 2.07896i | |||||
19.3766 | − | 12.2530i | 0.644456 | − | 0.407529i | |||||
−6.20866 | − | 8.99480i | −0.206383 | − | 0.298997i | |||||
−5.53954 | − | 6.78471i | −0.184039 | − | 0.225407i | |||||
0.00502262 | + | 0.124635i | 0.000166773 | + | 0.00413844i | 0.999270 | − | 0.0381966i | ||
−0.999103 | + | 0.0423351i | ||||||||
2.15178 | + | 1.36071i | 0.0714094 | + | 0.0451566i | |||||
57.2956 | − | 50.7595i | 1.90038 | − | 1.68359i | |||||
8.69876 | + | 8.07977i | 0.288361 | + | 0.267842i | |||||
22.1989 | + | 19.6665i | 0.735483 | + | 0.651581i | 0.945316 | − | 0.326156i | ||
−0.209833 | + | 0.977737i | ||||||||
15.1163 | + | 52.1874i | 0.500549 | + | 1.72810i | |||||
−0.839261 | + | 1.76870i | −0.0277755 | + | 0.0585356i | |||||
37.3777 | − | 12.4785i | 1.23634 | − | 0.412752i | |||||
6.91013 | 0.228442 | |||||||||
26.3654 | − | 8.80206i | 0.871137 | − | 0.290828i | |||||
0.401084 | − | 9.95281i | 0.0132450 | − | 0.328671i | |||||
−0.582362 | + | 4.79618i | −0.0192208 | + | 0.158298i | |||||
−31.5065 | + | 19.9235i | −1.03930 | + | 0.657217i | −0.941162 | − | 0.337956i | ||
−0.0981429 | + | 0.995172i | ||||||||
−7.65362 | + | 3.26090i | −0.252332 | + | 0.107509i | |||||
63.1129 | + | 65.7075i | 2.07964 | + | 2.16514i | |||||
−19.4129 | + | 4.78486i | −0.639331 | + | 0.157581i | |||||
15.9184 | + | 7.22950i | 0.523960 | + | 0.237962i | |||||
8.24848 | + | 2.03307i | 0.271355 | + | 0.0668830i | |||||
−12.8088 | − | 22.1856i | −0.421152 | − | 0.729457i | |||||
25.8324 | + | 26.8943i | 0.848904 | + | 0.883803i | |||||
−15.1593 | − | 31.9475i | −0.497897 | − | 1.04929i | |||||
−7.30627 | + | 6.47279i | −0.239840 | + | 0.212480i | |||||
11.1127 | + | 8.35064i | 0.364595 | + | 0.273976i | 0.767213 | − | 0.641393i | ||
−0.402617 | + | 0.915368i | ||||||||
9.56653 | + | 7.18878i | 0.313699 | + | 0.235729i | |||||
−2.67441 | + | 2.36932i | −0.0876502 | + | 0.0776513i | |||||
−0.733737 | − | 1.54632i | −0.0240344 | − | 0.0506514i | |||||
57.3204 | + | 59.6768i | 1.87659 | + | 1.95373i | |||||
19.1303 | + | 33.1347i | 0.625963 | + | 1.08420i | |||||
0.729737 | + | 0.179864i | 0.0238650 | + | 0.00588218i | |||||
−14.8798 | + | 14.7789i | −0.486361 | + | 0.483064i | |||||
23.1520 | − | 5.70646i | 0.756344 | − | 0.186422i | 0.157755 | − | 0.987478i | ||
0.598589 | + | 0.801056i | ||||||||
−34.4022 | − | 35.8165i | −1.12327 | − | 1.16945i | |||||
61.7816 | − | 26.3227i | 2.01617 | − | 0.859008i | |||||
0.461619 | − | 0.291910i | 0.0150564 | − | 0.00952106i | |||||
3.11786 | − | 25.6779i | 0.101639 | − | 0.837076i | −0.849345 | − | 0.527838i | ||
0.950985 | − | 0.309238i | ||||||||
3.01868 | − | 74.9079i | 0.0983540 | − | 2.44063i | |||||
13.1011 | − | 4.37380i | 0.426632 | − | 0.142431i | |||||
−63.1678 | −2.05594 | |||||||||
−4.99531 | + | 1.66768i | −0.162498 | + | 0.0542497i | |||||
8.12307 | − | 17.1190i | 0.264104 | − | 0.556587i | |||||
6.58124 | + | 22.7211i | 0.213862 | + | 0.738336i | 0.993672 | + | 0.112320i | ||
−0.779810 | + | 0.626016i | ||||||||
19.2904 | + | 17.0898i | 0.626525 | + | 0.555052i | |||||
27.3461 | − | 23.1009i | 0.887693 | − | 0.749885i | |||||
−24.5405 | + | 21.7410i | −0.796198 | + | 0.705370i | |||||
−8.85481 | − | 5.59944i | −0.287137 | − | 0.181574i | |||||
−0.134221 | − | 3.33067i | −0.00435014 | − | 0.107948i | |||||
−29.3576 | − | 35.9565i | −0.950985 | − | 1.16475i | −0.986232 | − | 0.165367i | ||
0.0352467 | − | 0.999379i | ||||||||
−46.4700 | − | 67.3235i | −1.50452 | − | 2.17968i | |||||
2.52788 | − | 1.59853i | 0.0818002 | − | 0.0517273i | |||||
1.19701 | − | 4.13257i | 0.0387141 | − | 0.133657i | |||||
−3.46194 | − | 3.06701i | −0.111909 | − | 0.0991424i | |||||
3.47177 | + | 17.0059i | 0.112168 | + | 0.549434i | |||||
−32.1872 | − | 2.59842i | −1.03938 | − | 0.0839073i | |||||
−0.0681203 | − | 1.69039i | −0.00219857 | − | 0.0545570i | |||||
6.93387 | + | 18.2831i | 0.223673 | + | 0.589778i | |||||
−36.5306 | − | 6.82299i | −1.17779 | − | 0.219982i | |||||
−20.2625 | + | 53.4278i | −0.652950 | + | 1.72169i | |||||
−12.0593 | − | 4.02598i | −0.388403 | − | 0.129668i | |||||
−13.6133 | − | 4.54479i | −0.438227 | − | 0.146302i | |||||
64.0742 | − | 66.7083i | 2.06155 | − | 2.14630i | |||||
−20.3389 | − | 5.01308i | −0.654054 | − | 0.161210i | −0.101694 | − | 0.994816i | ||
−0.552360 | + | 0.833606i | ||||||||
−12.9315 | − | 5.50961i | −0.415635 | − | 0.177086i | |||||
−6.53611 | − | 8.00528i | −0.209970 | − | 0.257167i | |||||
1.11855 | + | 9.21210i | 0.0359145 | + | 0.295783i | |||||
18.0689 | − | 1.45867i | 0.579859 | − | 0.0468111i | 0.212942 | − | 0.977065i | ||
0.366917 | + | 0.930254i | ||||||||
−6.97966 | − | 24.0966i | −0.223873 | − | 0.772898i | |||||
−5.73039 | + | 28.0693i | −0.183708 | + | 0.899861i | |||||
2.85592 | − | 23.5206i | 0.0915096 | − | 0.753649i | |||||
−40.1357 | − | 14.4579i | −1.28537 | − | 0.463022i | |||||
2.08983 | + | 17.2113i | 0.0668937 | + | 0.550919i | |||||
−56.3146 | − | 4.54618i | −1.80166 | − | 0.145445i | −0.866389 | − | 0.499370i | ||
−0.935274 | + | 0.353924i | ||||||||
−49.7966 | + | 60.9897i | −1.59232 | + | 1.95024i | |||||
−10.6076 | − | 7.97110i | −0.339020 | − | 0.254757i | |||||
0.686322 | − | 0.360210i | 0.0219238 | − | 0.0115065i | |||||
−9.04008 | − | 44.2812i | −0.288628 | − | 1.41379i | |||||
35.7574 | − | 2.88664i | 1.14106 | − | 0.0921163i | |||||
−11.4094 | + | 16.5294i | −0.363903 | + | 0.527205i | −0.961577 | − | 0.274534i | ||
0.597674 | + | 0.801739i | ||||||||
0.269069 | − | 6.67687i | 0.00857760 | − | 0.212851i | |||||
14.5642 | − | 10.9443i | 0.464053 | − | 0.348713i | |||||
1.17327 | − | 2.47262i | 0.0373646 | − | 0.0787442i | |||||
2.28735 | − | 3.31380i | 0.0728072 | − | 0.105479i | |||||
0.298893 | + | 17.8567i | 0.00950906 | + | 0.568097i | |||||
−44.0077 | − | 63.7561i | −1.39936 | − | 2.02733i | |||||
5.73676 | − | 0.932315i | 0.182326 | − | 0.0296309i | |||||
−22.1392 | − | 38.3463i | −0.703276 | − | 1.21811i | −0.967310 | − | 0.253597i | ||
0.264034 | − | 0.964513i | ||||||||
−10.1841 | + | 17.6394i | −0.323346 | + | 0.560051i | |||||
18.6818 | − | 49.2598i | 0.592849 | − | 1.56321i | |||||
−14.8860 | + | 15.4980i | −0.472156 | + | 0.491566i | |||||
0.262088 | − | 0.453950i | 0.00830875 | − | 0.0143912i | |||||
−5.67021 | + | 1.39758i | −0.179667 | + | 0.0442840i | |||||
−48.9446 | − | 7.95427i | −1.55009 | − | 0.251914i | −0.675714 | − | 0.737164i | ||
−0.874376 | + | 0.485250i | ||||||||
−11.2267 | − | 7.09935i | −0.355376 | − | 0.224726i | |||||
10.4256 | − | 12.7690i | 0.329851 | − | 0.403994i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 169.2.i.a.3.12 | ✓ | 336 | |
169.113 | even | 39 | inner | 169.2.i.a.113.12 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.2.i.a.3.12 | ✓ | 336 | 1.1 | even | 1 | trivial | |
169.2.i.a.113.12 | yes | 336 | 169.113 | even | 39 | inner |