Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1000,2,Mod(501,1000)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1000, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1000.501");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1000.d (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: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 501.6 | ||
Character | 1000.501 | ||
Dual form | 1000.2.d.c.501.5 |
-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 .
−1.36535 | + | 0.368522i | −0.965451 | + | 0.260584i | |||||
− | 0.513027i | − | 0.296196i | −0.988973 | − | 0.148098i | ||||
0.988973 | − | 0.148098i | ||||||||
1.72838 | − | 1.00633i | 0.864192 | − | 0.503163i | |||||
0 | 0 | |||||||||
0.189062 | + | 0.700464i | 0.0771841 | + | 0.285963i | |||||
1.12889 | 0.426679 | 0.213340 | − | 0.976978i | ||||||
0.213340 | + | 0.976978i | ||||||||
−1.98900 | + | 2.01094i | −0.703219 | + | 0.710974i | |||||
2.73680 | 0.912268 | |||||||||
0 | 0 | |||||||||
− | 3.99787i | − | 1.20540i | −0.797967 | − | 0.602701i | ||||
0.797967 | − | 0.602701i | ||||||||
−0.516272 | − | 0.886708i | −0.149035 | − | 0.255970i | |||||
1.12390i | 0.311714i | 0.987780 | + | 0.155857i | ||||||
−0.987780 | + | 0.155857i | ||||||||
−1.54133 | + | 0.416020i | −0.411938 | + | 0.111186i | |||||
0 | 0 | |||||||||
1.97462 | − | 3.47863i | 0.493655 | − | 0.869658i | |||||
2.93982 | 0.713010 | 0.356505 | − | 0.934293i | ||||||
0.356505 | + | 0.934293i | ||||||||
−3.73671 | + | 1.00857i | −0.880750 | + | 0.237723i | |||||
− | 3.24181i | − | 0.743723i | −0.928288 | − | 0.371862i | ||||
0.928288 | − | 0.371862i | ||||||||
0 | 0 | |||||||||
− | 0.579150i | − | 0.126381i | |||||||
1.47330 | + | 5.45850i | 0.314109 | + | 1.16376i | |||||
−5.39053 | −1.12400 | −0.562002 | − | 0.827136i | ||||||
−0.562002 | + | 0.827136i | ||||||||
1.03167 | + | 1.02041i | 0.210588 | + | 0.208291i | |||||
0 | 0 | |||||||||
−0.414183 | − | 1.53452i | −0.0812279 | − | 0.300945i | |||||
− | 2.94314i | − | 0.566407i | |||||||
1.95115 | − | 1.13603i | 0.368733 | − | 0.214689i | |||||
7.35068i | 1.36499i | 0.730891 | + | 0.682494i | ||||||
−0.730891 | + | 0.682494i | ||||||||
0 | 0 | |||||||||
7.19613 | 1.29246 | 0.646232 | − | 0.763141i | ||||||
0.646232 | + | 0.763141i | ||||||||
−1.41410 | + | 5.47725i | −0.249980 | + | 0.968251i | |||||
−2.05101 | −0.357036 | |||||||||
−4.01389 | + | 1.08339i | −0.688377 | + | 0.185799i | |||||
0 | 0 | |||||||||
4.73025 | − | 2.75411i | 0.788374 | − | 0.459019i | |||||
− | 10.6176i | − | 1.74552i | −0.488152 | − | 0.872759i | ||||
0.488152 | − | 0.872759i | ||||||||
1.19468 | + | 4.42622i | 0.193803 | + | 0.718028i | |||||
0.576592 | 0.0923287 | |||||||||
0 | 0 | |||||||||
2.08421 | 0.325498 | 0.162749 | − | 0.986667i | ||||||
0.162749 | + | 0.986667i | ||||||||
0.213429 | + | 0.790745i | 0.0329329 | + | 0.122015i | |||||
6.26007i | 0.954652i | 0.878726 | + | 0.477326i | ||||||
−0.878726 | + | 0.477326i | ||||||||
−4.02315 | − | 6.90984i | −0.606513 | − | 1.04170i | |||||
0 | 0 | |||||||||
7.35999 | − | 1.98653i | 1.08517 | − | 0.292898i | |||||
2.24328 | 0.327216 | 0.163608 | − | 0.986525i | ||||||
0.163608 | + | 0.986525i | ||||||||
−1.78463 | − | 1.01303i | −0.257590 | − | 0.146219i | |||||
−5.72561 | −0.817945 | |||||||||
0 | 0 | |||||||||
− | 1.50821i | − | 0.211191i | |||||||
1.13101 | + | 1.94253i | 0.156843 | + | 0.269381i | |||||
1.64494i | 0.225950i | 0.993598 | + | 0.112975i | ||||||
−0.993598 | + | 0.112975i | ||||||||
1.08461 | + | 4.01842i | 0.147597 | + | 0.546838i | |||||
0 | 0 | |||||||||
−2.24536 | + | 2.27012i | −0.300049 | + | 0.303358i | |||||
−1.66314 | −0.220288 | |||||||||
−2.70889 | − | 10.0363i | −0.355694 | − | 1.31783i | |||||
− | 5.55039i | − | 0.722599i | −0.932450 | − | 0.361299i | ||||
0.932450 | − | 0.361299i | ||||||||
0 | 0 | |||||||||
− | 6.65010i | − | 0.851458i | −0.904851 | − | 0.425729i | ||||
0.904851 | − | 0.425729i | ||||||||
−9.82527 | + | 2.65193i | −1.24781 | + | 0.336796i | |||||
3.08954 | 0.389246 | |||||||||
−0.0877382 | − | 7.99952i | −0.0109673 | − | 0.999940i | |||||
0 | 0 | |||||||||
2.80036 | − | 0.755843i | 0.344700 | − | 0.0930379i | |||||
− | 6.79788i | − | 0.830493i | −0.909709 | − | 0.415247i | ||||
0.909709 | − | 0.415247i | ||||||||
5.08113 | − | 2.95841i | 0.616178 | − | 0.358760i | |||||
2.76549i | 0.332926i | |||||||||
0 | 0 | |||||||||
−3.27833 | −0.389066 | −0.194533 | − | 0.980896i | ||||||
−0.194533 | + | 0.980896i | ||||||||
−5.44351 | + | 5.50354i | −0.641524 | + | 0.648598i | |||||
6.97819 | 0.816736 | 0.408368 | − | 0.912817i | ||||||
0.408368 | + | 0.912817i | ||||||||
3.91280 | + | 14.4967i | 0.454854 | + | 1.68521i | |||||
0 | 0 | |||||||||
−3.26232 | − | 5.60310i | −0.374214 | − | 0.642719i | |||||
− | 4.51314i | − | 0.514320i | |||||||
−0.787253 | + | 0.212487i | −0.0891388 | + | 0.0240594i | |||||
8.60333 | 0.967950 | 0.483975 | − | 0.875082i | ||||||
0.483975 | + | 0.875082i | ||||||||
0 | 0 | |||||||||
6.70050 | 0.744500 | |||||||||
−2.84568 | + | 0.768075i | −0.314253 | + | 0.0848197i | |||||
− | 13.4761i | − | 1.47919i | −0.673052 | − | 0.739596i | ||||
0.673052 | − | 0.739596i | ||||||||
−0.582813 | − | 1.00099i | −0.0635901 | − | 0.109217i | |||||
0 | 0 | |||||||||
−2.30697 | − | 8.54721i | −0.248767 | − | 0.921669i | |||||
3.77110 | 0.404304 | |||||||||
8.03946 | + | 7.95176i | 0.857009 | + | 0.847661i | |||||
−10.9910 | −1.16504 | −0.582521 | − | 0.812816i | ||||||
−0.582521 | + | 0.812816i | ||||||||
0 | 0 | |||||||||
1.26876i | 0.133002i | |||||||||
−9.31691 | + | 5.42463i | −0.971355 | + | 0.565557i | |||||
− | 3.69181i | − | 0.382823i | |||||||
−3.06287 | + | 0.826697i | −0.315911 | + | 0.0852673i | |||||
0 | 0 | |||||||||
2.80998 | + | 0.725472i | 0.286792 | + | 0.0740432i | |||||
18.6691 | 1.89556 | 0.947778 | − | 0.318931i | ||||||
0.947778 | + | 0.318931i | ||||||||
7.81749 | − | 2.11001i | 0.789686 | − | 0.213144i | |||||
− | 10.9414i | − | 1.09965i | |||||||
0 | 0 | |||||||||
− | 1.76372i | − | 0.175497i | −0.996143 | − | 0.0877485i | ||||
0.996143 | − | 0.0877485i | ||||||||
0.555807 | + | 2.05923i | 0.0550331 | + | 0.203895i | |||||
3.89194 | 0.383484 | 0.191742 | − | 0.981445i | ||||||
0.191742 | + | 0.981445i | ||||||||
−2.26010 | − | 2.23545i | −0.221621 | − | 0.219203i | |||||
0 | 0 | |||||||||
−0.606196 | − | 2.24592i | −0.0588789 | − | 0.218143i | |||||
− | 16.0146i | − | 1.54819i | −0.633071 | − | 0.774094i | ||||
0.633071 | − | 0.774094i | ||||||||
−2.96175 | − | 5.08687i | −0.284995 | − | 0.489484i | |||||
15.6094i | 1.49511i | 0.664199 | + | 0.747556i | ||||||
−0.664199 | + | 0.747556i | ||||||||
0 | 0 | |||||||||
−5.44710 | −0.517016 | |||||||||
2.22912 | − | 3.92698i | 0.210632 | − | 0.371065i | |||||
2.97052 | 0.279443 | 0.139722 | − | 0.990191i | ||||||
0.139722 | + | 0.990191i | ||||||||
2.27077 | − | 0.612903i | 0.212677 | − | 0.0574036i | |||||
0 | 0 | |||||||||
7.39718 | + | 12.7048i | 0.686811 | + | 1.17961i | |||||
3.07590i | 0.284367i | |||||||||
2.04544 | + | 7.57824i | 0.188298 | + | 0.697634i | |||||
3.31872 | 0.304227 | |||||||||
0 | 0 | |||||||||
−4.98293 | −0.452994 | |||||||||
2.45071 | + | 9.07974i | 0.221876 | + | 0.822041i | |||||
− | 1.06925i | − | 0.0964114i | |||||||
12.4377 | − | 7.24165i | 1.11694 | − | 0.650320i | |||||
0 | 0 | |||||||||
−4.21832 | + | 1.13856i | −0.375798 | + | 0.101431i | |||||
12.2692 | 1.08871 | 0.544356 | − | 0.838855i | ||||||
0.544356 | + | 0.838855i | ||||||||
3.06779 | + | 10.8898i | 0.271157 | + | 0.962535i | |||||
3.21158 | 0.282764 | |||||||||
0 | 0 | |||||||||
13.2639i | 1.15887i | 0.815019 | + | 0.579434i | ||||||
−0.815019 | + | 0.579434i | ||||||||
−3.54494 | + | 2.06399i | −0.308547 | + | 0.179647i | |||||
− | 3.65964i | − | 0.317331i | |||||||
2.50517 | + | 9.28151i | 0.216413 | + | 0.801800i | |||||
0 | 0 | |||||||||
−5.84730 | + | 5.91179i | −0.501402 | + | 0.506932i | |||||
−13.3863 | −1.14367 | −0.571836 | − | 0.820368i | ||||||
−0.571836 | + | 0.820368i | ||||||||
−1.01914 | − | 3.77587i | −0.0867552 | − | 0.321424i | |||||
− | 20.2594i | − | 1.71838i | −0.511657 | − | 0.859190i | ||||
0.511657 | − | 0.859190i | ||||||||
0 | 0 | |||||||||
− | 1.15086i | − | 0.0969201i | |||||||
4.47608 | − | 1.20814i | 0.375624 | − | 0.101385i | |||||
4.49321 | 0.375741 | |||||||||
5.40414 | − | 9.52033i | 0.450345 | − | 0.793361i | |||||
0 | 0 | |||||||||
−9.52770 | + | 2.57162i | −0.788518 | + | 0.212828i | |||||
2.93739i | 0.242272i | |||||||||
−10.6847 | − | 18.3512i | −0.878279 | − | 1.50846i | |||||
14.8567i | 1.21711i | 0.793512 | + | 0.608555i | ||||||
−0.793512 | + | 0.608555i | ||||||||
0 | 0 | |||||||||
10.1436 | 0.825477 | 0.412739 | − | 0.910850i | ||||||
0.412739 | + | 0.910850i | ||||||||
6.51909 | + | 6.44798i | 0.528768 | + | 0.523000i | |||||
8.04570 | 0.650456 | |||||||||
1.66319 | + | 6.16203i | 0.134024 | + | 0.496551i | |||||
0 | 0 | |||||||||
0.996573 | − | 0.580240i | 0.0797897 | − | 0.0464564i | |||||
− | 7.49744i | − | 0.598361i | −0.954197 | − | 0.299180i | ||||
0.954197 | − | 0.299180i | ||||||||
−11.7466 | + | 3.17051i | −0.934508 | + | 0.252232i | |||||
0.843898 | 0.0669255 | |||||||||
0 | 0 | |||||||||
−6.08530 | −0.479589 | |||||||||
−9.14856 | + | 2.46928i | −0.718778 | + | 0.194005i | |||||
8.95189i | 0.701166i | 0.936532 | + | 0.350583i | ||||||
−0.936532 | + | 0.350583i | ||||||||
3.60231 | − | 2.09739i | 0.281293 | − | 0.163779i | |||||
0 | 0 | |||||||||
4.96623 | + | 18.3996i | 0.385454 | + | 1.42809i | |||||
−2.49946 | −0.193414 | −0.0967070 | − | 0.995313i | ||||||
−0.0967070 | + | 0.995313i | ||||||||
1.16463 | + | 1.15193i | 0.0898535 | + | 0.0888734i | |||||
11.7368 | 0.902834 | |||||||||
0 | 0 | |||||||||
− | 8.87221i | − | 0.678475i | |||||||
6.29967 | + | 10.8198i | 0.480345 | + | 0.825002i | |||||
− | 0.589561i | − | 0.0448235i | −0.999749 | − | 0.0224118i | ||||
0.999749 | − | 0.0224118i | ||||||||
−5.14889 | + | 1.38973i | −0.390336 | + | 0.105355i | |||||
0 | 0 | |||||||||
−13.9071 | − | 7.89426i | −1.04829 | − | 0.595052i | |||||
−2.84750 | −0.214031 | |||||||||
15.0066 | − | 4.05042i | 1.12479 | − | 0.303592i | |||||
− | 10.3029i | − | 0.770077i | −0.922901 | − | 0.385038i | ||||
0.922901 | − | 0.385038i | ||||||||
0 | 0 | |||||||||
17.8021i | 1.32322i | 0.749848 | + | 0.661610i | ||||||
−0.749848 | + | 0.661610i | ||||||||
−0.467565 | − | 1.73231i | −0.0346583 | − | 0.128407i | |||||
−3.41168 | −0.252199 | |||||||||
10.7218 | − | 10.8400i | 0.790420 | − | 0.799137i | |||||
0 | 0 | |||||||||
1.36051 | + | 5.04063i | 0.0997577 | + | 0.369597i | |||||
− | 11.7530i | − | 0.859464i | |||||||
3.87724 | − | 2.25747i | 0.282777 | − | 0.164643i | |||||
− | 3.32247i | − | 0.241674i | |||||||
0 | 0 | |||||||||
−18.9069 | −1.36806 | −0.684029 | − | 0.729455i | ||||||
−0.684029 | + | 0.729455i | ||||||||
−4.10397 | + | 0.0450121i | −0.296179 | + | 0.00324847i | |||||
−10.2705 | −0.739288 | −0.369644 | − | 0.929173i | ||||||
−0.369644 | + | 0.929173i | ||||||||
−25.4899 | + | 6.87995i | −1.83007 | + | 0.493952i | |||||
0 | 0 | |||||||||
−9.89606 | + | 5.76183i | −0.706861 | + | 0.411559i | |||||
0.207142i | 0.0147583i | 0.999973 | + | 0.00737913i | ||||||
−0.999973 | + | 0.00737913i | ||||||||
4.03213 | + | 14.9388i | 0.286551 | + | 1.06166i | |||||
−12.2911 | −0.871295 | −0.435647 | − | 0.900117i | ||||||
−0.435647 | + | 0.900117i | ||||||||
0 | 0 | |||||||||
−3.48750 | −0.245989 | |||||||||
0.649970 | + | 2.40811i | 0.0457318 | + | 0.169434i | |||||
8.29809i | 0.582412i | |||||||||
−1.51775 | − | 2.60676i | −0.106263 | − | 0.182510i | |||||
0 | 0 | |||||||||
−5.31387 | + | 1.43426i | −0.370235 | + | 0.0999299i | |||||
−14.7528 | −1.02539 | |||||||||
3.90964 | + | 2.21928i | 0.271085 | + | 0.153879i | |||||
−12.9603 | −0.896485 | |||||||||
0 | 0 | |||||||||
− | 3.91559i | − | 0.269560i | −0.990876 | − | 0.134780i | ||||
0.990876 | − | 0.134780i | ||||||||
1.65534 | + | 2.84309i | 0.113689 | + | 0.195264i | |||||
1.68187i | 0.115240i | |||||||||
5.90172 | + | 21.8656i | 0.403433 | + | 1.49470i | |||||
0 | 0 | |||||||||
5.91846 | + | 5.85390i | 0.402700 | + | 0.398308i | |||||
8.12363 | 0.551468 | |||||||||
−5.75241 | − | 21.3124i | −0.389603 | − | 1.44346i | |||||
− | 3.58000i | − | 0.241914i | |||||||
0 | 0 | |||||||||
3.30407i | 0.222256i | |||||||||
7.43722 | − | 2.00737i | 0.499153 | − | 0.134726i | |||||
−23.8519 | −1.59724 | −0.798621 | − | 0.601834i | ||||||
−0.798621 | + | 0.601834i | ||||||||
−1.59636 | + | 6.18320i | −0.106661 | + | 0.413133i | |||||
0 | 0 | |||||||||
−4.05582 | + | 1.09470i | −0.269789 | + | 0.0728185i | |||||
24.7012i | 1.63948i | 0.572738 | + | 0.819738i | ||||||
−0.572738 | + | 0.819738i | ||||||||
−2.87454 | + | 1.67366i | −0.190371 | + | 0.110841i | |||||
22.0732i | 1.45864i | 0.684175 | + | 0.729318i | ||||||
−0.684175 | + | 0.729318i | ||||||||
0 | 0 | |||||||||
−2.31536 | −0.152340 | |||||||||
−14.7818 | − | 14.6205i | −0.970470 | − | 0.959884i | |||||
−19.6085 | −1.28460 | −0.642299 | − | 0.766454i | ||||||
−0.642299 | + | 0.766454i | ||||||||
−1.13354 | − | 4.19969i | −0.0741016 | − | 0.274543i | |||||
0 | 0 | |||||||||
−5.58550 | − | 9.59320i | −0.363585 | − | 0.624464i | |||||
− | 4.41374i | − | 0.286703i | |||||||
−4.53123 | + | 1.22302i | −0.293716 | + | 0.0792767i | |||||
−12.3845 | −0.801088 | −0.400544 | − | 0.916278i | ||||||
−0.400544 | + | 0.916278i | ||||||||
0 | 0 | |||||||||
−20.4095 | −1.31469 | −0.657347 | − | 0.753588i | ||||||
−0.657347 | + | 0.753588i | ||||||||
6.80346 | − | 1.83632i | 0.437343 | − | 0.118043i | |||||
− | 12.2669i | − | 0.786925i | |||||||
−6.69216 | − | 11.4939i | −0.428422 | − | 0.735823i | |||||
0 | 0 | |||||||||
0.394043 | + | 1.45991i | 0.0251233 | + | 0.0930805i | |||||
3.64348 | 0.231829 | |||||||||
−14.3131 | + | 14.4710i | −0.908885 | + | 0.918908i | |||||
−6.91359 | −0.438131 | |||||||||
0 | 0 | |||||||||
22.2016i | 1.40135i | 0.713479 | + | 0.700676i | ||||||
−0.713479 | + | 0.700676i | ||||||||
5.33991 | − | 3.10908i | 0.336383 | − | 0.195854i | |||||
21.5506i | 1.35488i | |||||||||
−16.7517 | + | 4.52145i | −1.05110 | + | 0.283701i | |||||
0 | 0 | |||||||||
−8.20176 | − | 13.7379i | −0.512610 | − | 0.858621i | |||||
13.0592 | 0.814614 | 0.407307 | − | 0.913291i | ||||||
0.407307 | + | 0.913291i | ||||||||
−4.38495 | + | 1.18354i | −0.272995 | + | 0.0736839i | |||||
− | 11.9860i | − | 0.744776i | |||||||
0 | 0 | |||||||||
20.1174i | 1.24523i | |||||||||
−4.88802 | − | 18.1099i | −0.301983 | − | 1.11883i | |||||
29.2389 | 1.80295 | 0.901473 | − | 0.432835i | ||||||
0.901473 | + | 0.432835i | ||||||||
4.07947 | − | 4.12446i | 0.251074 | − | 0.253843i | |||||
0 | 0 | |||||||||
1.34866 | + | 4.99671i | 0.0826915 | + | 0.306368i | |||||
5.63867i | 0.345081i | |||||||||
−6.84088 | − | 11.7493i | −0.417873 | − | 0.717705i | |||||
21.4247i | 1.30629i | 0.757235 | + | 0.653143i | ||||||
−0.757235 | + | 0.653143i | ||||||||
0 | 0 | |||||||||
1.15797 | 0.0703415 | 0.0351708 | − | 0.999381i | ||||||
0.0351708 | + | 0.999381i | ||||||||
5.80502 | − | 10.2265i | 0.351981 | − | 0.620075i | |||||
0.650908 | 0.0393947 | |||||||||
18.2771 | − | 4.93316i | 1.10416 | − | 0.298023i | |||||
0 | 0 | |||||||||
2.78298 | + | 4.77983i | 0.167516 | + | 0.287712i | |||||
16.8055i | 1.00975i | 0.863194 | + | 0.504873i | ||||||
−0.863194 | + | 0.504873i | ||||||||
7.46603 | + | 27.6612i | 0.447783 | + | 1.65901i | |||||
19.6944 | 1.17907 | |||||||||
0 | 0 | |||||||||
8.99127 | 0.536374 | 0.268187 | − | 0.963367i | ||||||
0.268187 | + | 0.963367i | ||||||||
0.424118 | + | 1.57133i | 0.0252559 | + | 0.0935716i | |||||
15.4397i | 0.917798i | 0.888489 | + | 0.458899i | ||||||
−0.888489 | + | 0.458899i | ||||||||
−5.66621 | + | 3.29907i | −0.336228 | + | 0.195764i | |||||
0 | 0 | |||||||||
−6.13482 | + | 1.65585i | −0.362760 | + | 0.0979122i | |||||
2.35283 | 0.138883 | |||||||||
−3.87012 | + | 14.9902i | −0.228049 | + | 0.883304i | |||||
−8.35748 | −0.491616 | |||||||||
0 | 0 | |||||||||
− | 9.57773i | − | 0.561457i | |||||||
12.0610 | − | 7.02233i | 0.705816 | − | 0.410951i | |||||
− | 1.62062i | − | 0.0946777i | −0.998879 | − | 0.0473389i | ||||
0.998879 | − | 0.0473389i | ||||||||
−1.08249 | − | 4.01058i | −0.0631323 | − | 0.233902i | |||||
0 | 0 | |||||||||
21.3513 | + | 21.1184i | 1.24102 | + | 1.22748i | |||||
−11.7663 | −0.682748 | |||||||||
−5.47503 | − | 20.2847i | −0.317160 | − | 1.17506i | |||||
− | 6.05843i | − | 0.350368i | |||||||
0 | 0 | |||||||||
7.06691i | 0.407330i | |||||||||
−13.8496 | + | 3.73815i | −0.796958 | + | 0.215106i | |||||
−0.904838 | −0.0519816 | |||||||||
−11.2771 | − | 6.40135i | −0.646785 | − | 0.367142i | |||||
0 | 0 | |||||||||
−10.9852 | + | 2.96502i | −0.627984 | + | 0.169499i | |||||
13.3243i | 0.760458i | 0.924892 | + | 0.380229i | ||||||
−0.924892 | + | 0.380229i | ||||||||
−4.54169 | − | 7.80044i | −0.258787 | − | 0.444471i | |||||
− | 1.99667i | − | 0.113587i | |||||||
0 | 0 | |||||||||
−3.20457 | −0.181714 | −0.0908572 | − | 0.995864i | ||||||
−0.0908572 | + | 0.995864i | ||||||||
−1.14684 | + | 1.15949i | −0.0649273 | + | 0.0656433i | |||||
−24.2715 | −1.37190 | −0.685952 | − | 0.727647i | ||||||
−0.685952 | + | 0.727647i | ||||||||
2.76297 | + | 10.2367i | 0.155923 | + | 0.577688i | |||||
0 | 0 | |||||||||
14.8698 | − | 8.65775i | 0.836494 | − | 0.487036i | |||||
3.79177i | 0.212967i | 0.994314 | + | 0.106483i | ||||||
−0.994314 | + | 0.106483i | ||||||||
−1.15222 | + | 0.310995i | −0.0646133 | + | 0.0174397i | |||||
29.3870 | 1.64536 | |||||||||
0 | 0 | |||||||||
−8.21591 | −0.458567 | |||||||||
8.30859 | − | 2.24257i | 0.463020 | − | 0.124973i | |||||
− | 9.53034i | − | 0.530282i | |||||||
11.5810 | − | 6.74288i | 0.643391 | − | 0.374605i | |||||
0 | 0 | |||||||||
−3.29897 | − | 12.2225i | −0.182713 | − | 0.676941i | |||||
8.00806 | 0.442847 | |||||||||
−4.14549 | + | 4.19121i | −0.228896 | + | 0.231421i | |||||
2.53241 | 0.139616 | |||||||||
0 | 0 | |||||||||
− | 2.26196i | − | 0.124328i | −0.998066 | − | 0.0621642i | ||||
0.998066 | − | 0.0621642i | ||||||||
−13.5613 | − | 23.2918i | −0.744274 | − | 1.27830i | |||||
− | 29.0582i | − | 1.59238i | |||||||
3.41265 | − | 0.921106i | 0.186732 | − | 0.0504007i | |||||
0 | 0 | |||||||||
−2.01465 | − | 1.14360i | −0.109908 | − | 0.0623885i | |||||
−28.6654 | −1.56150 | −0.780751 | − | 0.624843i | ||||||
−0.780751 | + | 0.624843i | ||||||||
−16.0249 | + | 4.32528i | −0.871642 | + | 0.235264i | |||||
− | 1.52396i | − | 0.0827701i | |||||||
0 | 0 | |||||||||
− | 28.7692i | − | 1.55794i | |||||||
3.26960 | + | 12.1137i | 0.176800 | + | 0.655034i | |||||
−14.3658 | −0.775679 | |||||||||
−12.5886 | − | 12.4513i | −0.678732 | − | 0.671329i | |||||
0 | 0 | |||||||||
0.217266 | + | 0.804960i | 0.0116803 | + | 0.0432749i | |||||
− | 3.03845i | − | 0.163112i | −0.996669 | − | 0.0815562i | ||||
0.996669 | − | 0.0815562i | ||||||||
6.51791 | − | 3.79495i | 0.349396 | − | 0.203431i | |||||
− | 26.1606i | − | 1.40035i | −0.713973 | − | 0.700173i | ||||
0.713973 | − | 0.700173i | ||||||||
0 | 0 | |||||||||
3.30780 | 0.176557 | |||||||||
21.8973 | + | 5.65339i | 1.16713 | + | 0.301327i | |||||
29.4943 | 1.56983 | 0.784913 | − | 0.619606i | ||||||
0.784913 | + | 0.619606i | ||||||||
3.88784 | − | 1.04937i | 0.206637 | − | 0.0557731i | |||||
0 | 0 | |||||||||
−18.9966 | + | 11.0605i | −1.00682 | + | 0.586206i | |||||
− | 1.70259i | − | 0.0901108i | |||||||
3.79685 | + | 14.0671i | 0.200670 | + | 0.743472i | |||||
8.91327 | 0.470424 | 0.235212 | − | 0.971944i | ||||||
0.235212 | + | 0.971944i | ||||||||
0 | 0 | |||||||||
8.49064 | 0.446876 | |||||||||
−6.56046 | − | 24.3062i | −0.344810 | − | 1.27750i | |||||
2.55638i | 0.134175i | |||||||||
1.27678 | + | 2.19290i | 0.0669217 | + | 0.114939i | |||||
0 | 0 | |||||||||
4.65815 | − | 1.25728i | 0.243485 | − | 0.0657190i | |||||
−22.6852 | −1.18416 | −0.592079 | − | 0.805880i | ||||||
−0.592079 | + | 0.805880i | ||||||||
−10.6442 | + | 18.7517i | −0.554870 | + | 0.977499i | |||||
5.70406 | 0.296942 | |||||||||
0 | 0 | |||||||||
1.85695i | 0.0964081i | |||||||||
−3.71516 | − | 6.38087i | −0.192622 | − | 0.330833i | |||||
6.46312i | 0.334648i | 0.985902 | + | 0.167324i | ||||||
−0.985902 | + | 0.167324i | ||||||||
4.33123 | + | 16.0470i | 0.223963 | + | 0.829770i | |||||
0 | 0 | |||||||||
−4.46189 | + | 4.51109i | −0.230104 | + | 0.232642i | |||||
−8.26145 | −0.425486 | |||||||||
1.22440 | + | 4.53635i | 0.0629764 | + | 0.233324i | |||||
4.31785i | 0.221793i | 0.993832 | + | 0.110897i | ||||||
−0.993832 | + | 0.110897i | ||||||||
0 | 0 | |||||||||
− | 6.29441i | − | 0.322472i | |||||||
25.8147 | − | 6.96762i | 1.32079 | − | 0.356494i | |||||
11.1049 | 0.567432 | 0.283716 | − | 0.958908i | ||||||
0.283716 | + | 0.958908i | ||||||||
5.58678 | − | 1.57386i | 0.285099 | − | 0.0803157i | |||||
0 | 0 | |||||||||
14.0229 | − | 3.78491i | 0.713746 | − | 0.192647i | |||||
17.1326i | 0.870898i | |||||||||
32.2673 | − | 18.7871i | 1.63812 | − | 0.953773i | |||||
15.5490i | 0.788368i | 0.919032 | + | 0.394184i | ||||||
−0.919032 | + | 0.394184i | ||||||||
0 | 0 | |||||||||
−15.8472 | −0.801426 | |||||||||
11.3883 | − | 11.5139i | 0.575194 | − | 0.581537i | |||||
6.80472 | 0.343253 | |||||||||
−0.0763364 | − | 0.282822i | −0.00384577 | − | 0.0142484i | |||||
0 | 0 | |||||||||
−11.0106 | − | 18.9109i | −0.553302 | − | 0.950308i | |||||
26.9682i | 1.35350i | 0.736214 | + | 0.676748i | ||||||
−0.736214 | + | 0.676748i | ||||||||
16.7817 | − | 4.52955i | 0.841193 | − | 0.227046i | |||||
−1.87750 | −0.0939924 | |||||||||
0 | 0 | |||||||||
36.1092 | 1.80321 | 0.901603 | − | 0.432565i | ||||||
0.901603 | + | 0.432565i | ||||||||
4.76167 | − | 1.28522i | 0.237490 | − | 0.0641009i | |||||
8.08775i | 0.402880i | |||||||||
−1.77488 | − | 3.04839i | −0.0883035 | − | 0.151663i | |||||
0 | 0 | |||||||||
−3.05803 | − | 11.3298i | −0.151767 | − | 0.562290i | |||||
−42.4476 | −2.10405 | |||||||||
3.03291 | + | 2.99982i | 0.150151 | + | 0.148513i | |||||
15.5149 | 0.767163 | 0.383581 | − | 0.923507i | ||||||
0.383581 | + | 0.923507i | ||||||||
0 | 0 | |||||||||
6.86755i | 0.338751i | |||||||||
6.72676 | − | 3.91656i | 0.331404 | − | 0.192955i | |||||
− | 6.26576i | − | 0.308318i | |||||||
20.1428 | − | 5.43674i | 0.989966 | − | 0.267201i | |||||
0 | 0 | |||||||||
−6.15590 | − | 1.58931i | −0.301818 | − | 0.0779225i | |||||
−10.3936 | −0.508978 | |||||||||
17.6955 | − | 4.77617i | 0.865513 | − | 0.233610i | |||||
26.9362i | 1.31592i | 0.753054 | + | 0.657959i | ||||||
−0.753054 | + | 0.657959i | ||||||||
0 | 0 | |||||||||
− | 6.14641i | − | 0.299557i | −0.988720 | − | 0.149779i | ||||
0.988720 | − | 0.149779i | ||||||||
1.44298 | + | 5.34616i | 0.0702431 | + | 0.260247i | |||||
6.13941 | 0.298508 | |||||||||
−3.30787 | − | 3.27179i | −0.160644 | − | 0.158892i | |||||
0 | 0 | |||||||||
−0.619807 | − | 2.29635i | −0.0300297 | − | 0.111259i | |||||
− | 7.50721i | − | 0.363299i | |||||||
−16.1159 | − | 27.6793i | −0.778990 | − | 1.33793i | |||||
− | 2.30514i | − | 0.111293i | |||||||
0 | 0 | |||||||||
36.8901 | 1.77693 | 0.888467 | − | 0.458940i | ||||||
0.888467 | + | 0.458940i | ||||||||
−10.2381 | − | 5.81157i | −0.492580 | − | 0.279609i | |||||
−11.5824 | −0.556617 | −0.278308 | − | 0.960492i | ||||||
−0.278308 | + | 0.960492i | ||||||||
−11.0916 | + | 2.99373i | −0.532415 | + | 0.143704i | |||||
0 | 0 | |||||||||
15.7082 | + | 26.9791i | 0.752284 | + | 1.29206i | |||||
17.4751i | 0.835948i | |||||||||
1.31931 | + | 4.88797i | 0.0630390 | + | 0.233556i | |||||
−4.15174 | −0.198152 | −0.0990760 | − | 0.995080i | ||||||
−0.0990760 | + | 0.995080i | ||||||||
0 | 0 | |||||||||
−15.6699 | −0.746185 | |||||||||
−1.21762 | − | 4.51122i | −0.0579163 | − | 0.214577i | |||||
− | 15.7327i | − | 0.747482i | −0.927533 | − | 0.373741i | ||||
0.927533 | − | 0.373741i | ||||||||
−9.41468 | + | 5.48155i | −0.446801 | + | 0.260143i | |||||
0 | 0 | |||||||||
32.5663 | − | 8.78995i | 1.54206 | − | 0.416216i | |||||
7.62190 | 0.360504 | |||||||||
−0.0990465 | − | 9.03056i | −0.00467951 | − | 0.426654i | |||||
−20.6861 | −0.976239 | −0.488120 | − | 0.872777i | ||||||
−0.488120 | + | 0.872777i | ||||||||
0 | 0 | |||||||||
− | 8.33238i | − | 0.392356i | |||||||
5.13420 | − | 2.98931i | 0.241493 | − | 0.140605i | |||||
− | 5.20396i | − | 0.244503i | |||||||
−9.10293 | − | 33.7259i | −0.427222 | − | 1.58283i | |||||
0 | 0 | |||||||||
3.30799 | − | 3.34447i | 0.154911 | − | 0.156619i | |||||
28.7187 | 1.34340 | 0.671702 | − | 0.740821i | ||||||
0.671702 | + | 0.740821i | ||||||||
−8.13444 | − | 30.1377i | −0.380098 | − | 1.40824i | |||||
− | 8.65228i | − | 0.403854i | |||||||
0 | 0 | |||||||||
− | 27.7063i | − | 1.29041i | −0.764008 | − | 0.645207i | ||||
0.764008 | − | 0.645207i | ||||||||
3.16129 | − | 0.853262i | 0.147077 | − | 0.0396973i | |||||
26.9572 | 1.25281 | 0.626404 | − | 0.779499i | ||||||
0.626404 | + | 0.779499i | ||||||||
25.5703 | + | 14.5148i | 1.18707 | + | 0.673832i | |||||
0 | 0 | |||||||||
26.7726 | − | 7.22617i | 1.24022 | − | 0.334746i | |||||
31.3052i | 1.44863i | 0.689468 | + | 0.724316i | ||||||
−0.689468 | + | 0.724316i | ||||||||
3.09536 | + | 5.31633i | 0.143083 | + | 0.245748i | |||||
− | 7.67404i | − | 0.354354i | |||||||
0 | 0 | |||||||||
−3.84639 | −0.177232 | |||||||||
11.1615 | + | 11.0397i | 0.513749 | + | 0.508145i | |||||
25.0269 | 1.15074 | |||||||||
1.62656 | + | 6.02632i | 0.0747103 | + | 0.276798i | |||||
0 | 0 | |||||||||
5.73602 | − | 3.33971i | 0.262910 | − | 0.153076i | |||||
4.50187i | 0.206127i | |||||||||
16.9093 | − | 4.56397i | 0.773411 | − | 0.208751i | |||||
−32.6888 | −1.49359 | −0.746794 | − | 0.665056i | ||||||
−0.746794 | + | 0.665056i | ||||||||
0 | 0 | |||||||||
11.9331 | 0.544103 | |||||||||
27.8662 | − | 7.52136i | 1.26927 | − | 0.342589i | |||||
3.12193i | 0.142053i | |||||||||
−8.61241 | + | 5.01445i | −0.391473 | + | 0.227929i | |||||
0 | 0 | |||||||||
4.52064 | + | 16.7487i | 0.205060 | + | 0.759738i | |||||
17.6043 | 0.797726 | 0.398863 | − | 0.917011i | ||||||
0.398863 | + | 0.917011i | ||||||||
13.3729 | + | 13.2271i | 0.605364 | + | 0.598761i | |||||
4.59256 | 0.207683 | |||||||||
0 | 0 | |||||||||
− | 1.31132i | − | 0.0591790i | −0.999562 | − | 0.0295895i | ||||
0.999562 | − | 0.0295895i | ||||||||
−1.07602 | − | 1.84808i | −0.0485106 | − | 0.0833179i | |||||
21.6097i | 0.973250i | |||||||||
−4.97465 | + | 1.34270i | −0.223820 | + | 0.0604111i | |||||
0 | 0 | |||||||||
14.2096 | − | 25.0327i | 0.638031 | − | 1.12400i | |||||
−3.70087 | −0.166007 | |||||||||
9.43950 | − | 2.54781i | 0.422994 | − | 0.114170i | |||||
− | 21.2655i | − | 0.951973i | −0.879453 | − | 0.475987i | ||||
0.879453 | − | 0.475987i | ||||||||
0 | 0 | |||||||||
1.28229i | 0.0572885i | |||||||||
−8.18177 | − | 30.3130i | −0.365170 | − | 1.35294i | |||||
−34.4786 | −1.53733 | −0.768663 | − | 0.639654i | ||||||
−0.768663 | + | 0.639654i | ||||||||
−6.14511 | + | 6.21288i | −0.273725 | + | 0.276743i | |||||
0 | 0 | |||||||||
−7.94188 | − | 29.4242i | −0.353059 | − | 1.30807i | |||||
− | 6.02132i | − | 0.267416i | |||||||
21.2058 | − | 12.3468i | 0.940855 | − | 0.547799i | |||||
8.61795i | 0.381984i | 0.981592 | + | 0.190992i | ||||||
−0.981592 | + | 0.190992i | ||||||||
0 | 0 | |||||||||
7.87759 | 0.348484 | |||||||||
16.2610 | + | 15.7346i | 0.718643 | + | 0.695379i | |||||
−9.54110 | −0.421250 | |||||||||
−17.8305 | + | 4.81262i | −0.786470 | + | 0.212275i | |||||
0 | 0 | |||||||||
5.55085 | − | 3.23190i | 0.244363 | − | 0.142276i | |||||
− | 8.96833i | − | 0.394426i | |||||||
4.41711 | + | 16.3652i | 0.194077 | + | 0.719045i | |||||
−0.302461 | −0.0132766 | |||||||||
0 | 0 | |||||||||
−5.28810 | −0.231676 | −0.115838 | − | 0.993268i | ||||||
−0.115838 | + | 0.993268i | ||||||||
−7.41369 | − | 27.4673i | −0.324488 | − | 1.20221i | |||||
− | 18.0301i | − | 0.788400i | −0.919025 | − | 0.394200i | ||||
0.919025 | − | 0.394200i | ||||||||
13.3478 | + | 22.9250i | 0.583099 | + | 1.00148i | |||||
0 | 0 | |||||||||
−39.9214 | + | 10.7752i | −1.74066 | + | 0.469819i | |||||
21.1553 | 0.921540 | |||||||||
−4.04997 | + | 7.13472i | −0.176252 | + | 0.310499i | |||||
6.05785 | 0.263385 | |||||||||
0 | 0 | |||||||||
− | 15.1903i | − | 0.659204i | |||||||
−3.68279 | − | 6.32527i | −0.159669 | − | 0.274235i | |||||
2.34244i | 0.101463i | |||||||||
−2.07797 | − | 7.69878i | −0.0899227 | − | 0.333159i | |||||
0 | 0 | |||||||||
13.6701 | + | 13.5210i | 0.590459 | + | 0.584018i | |||||
−5.28568 | −0.228094 | |||||||||
−7.89546 | − | 29.2523i | −0.340397 | − | 1.26115i | |||||
22.8902i | 0.985952i | |||||||||
0 | 0 | |||||||||
− | 2.53085i | − | 0.108810i | −0.998519 | − | 0.0544050i | ||||
0.998519 | − | 0.0544050i | ||||||||
−1.58104 | + | 0.426736i | −0.0679113 | + | 0.0183299i | |||||
9.13296 | 0.391933 | |||||||||
−4.15720 | + | 16.1021i | −0.178238 | + | 0.690373i | |||||
0 | 0 | |||||||||
−0.888720 | + | 0.239874i | −0.0380337 | + | 0.0102656i | |||||
37.9439i | 1.62236i | 0.584794 | + | 0.811182i | ||||||
−0.584794 | + | 0.811182i | ||||||||
−23.1367 | + | 13.4710i | −0.988352 | + | 0.575453i | |||||
− | 18.2000i | − | 0.776757i | |||||||
0 | 0 | |||||||||
23.8295 | 1.01517 | |||||||||
−5.56123 | − | 5.50057i | −0.236702 | − | 0.234120i | |||||
9.71219 | 0.413004 | |||||||||
−6.19320 | − | 22.9455i | −0.263124 | − | 0.974860i | |||||
0 | 0 | |||||||||
−20.3875 | − | 35.0160i | −0.864624 | − | 1.48501i | |||||
37.0123i | 1.56826i | 0.620596 | + | 0.784130i | ||||||
−0.620596 | + | 0.784130i | ||||||||
−26.8898 | + | 7.25782i | −1.13834 | + | 0.307248i | |||||
−7.03571 | −0.297579 | |||||||||
0 | 0 | |||||||||
−6.02960 | −0.254570 | |||||||||
−12.2763 | + | 3.31348i | −0.517843 | + | 0.139771i | |||||
14.2506i | 0.600590i | 0.953846 | + | 0.300295i | ||||||
−0.953846 | + | 0.300295i | ||||||||
−1.15814 | − | 1.98913i | −0.0487666 | − | 0.0837576i | |||||
0 | 0 | |||||||||
−5.68988 | − | 21.0807i | −0.239164 | − | 0.886089i | |||||
7.56411 | 0.317663 | |||||||||
6.52061 | − | 6.59252i | 0.273599 | − | 0.276616i | |||||
25.9576 | 1.08820 | 0.544101 | − | 0.839020i | ||||||
0.544101 | + | 0.839020i | ||||||||
0 | 0 | |||||||||
− | 20.3690i | − | 0.852416i | −0.904625 | − | 0.426208i | ||||
0.904625 | − | 0.426208i | ||||||||
7.76599 | − | 4.52163i | 0.324712 | − | 0.189059i | |||||
9.69977i | 0.405214i | |||||||||
−3.21245 | + | 0.867070i | −0.134085 | + | 0.0361908i | |||||
0 | 0 | |||||||||
−0.240122 | − | 21.8931i | −0.0100051 | − | 0.912213i | |||||
−44.6310 | −1.85801 | −0.929007 | − | 0.370063i | ||||||
−0.929007 | + | 0.370063i | ||||||||
11.4109 | − | 3.07991i | 0.474632 | − | 0.128107i | |||||
5.26905i | 0.218974i | |||||||||
0 | 0 | |||||||||
− | 15.2130i | − | 0.631140i | |||||||
3.52960 | + | 13.0770i | 0.146307 | + | 0.542059i | |||||
6.57625 | 0.272360 | |||||||||
−13.8796 | + | 14.0327i | −0.574344 | + | 0.580678i | |||||
0 | 0 | |||||||||
0.597234 | + | 2.21272i | 0.0246715 | + | 0.0914067i | |||||
− | 18.9398i | − | 0.781729i | −0.920448 | − | 0.390865i | ||||
0.920448 | − | 0.390865i | ||||||||
2.95598 | + | 5.07694i | 0.121902 | + | 0.209370i | |||||
− | 23.3285i | − | 0.961236i | |||||||
0 | 0 | |||||||||
0.106270 | 0.00437134 | |||||||||
−36.9346 | − | 20.9656i | −1.51800 | − | 0.861683i | |||||
8.22399 | 0.337719 | 0.168859 | − | 0.985640i | ||||||
0.168859 | + | 0.985640i | ||||||||
16.0651 | − | 4.33612i | 0.659160 | − | 0.177913i | |||||
0 | 0 | |||||||||
14.9507 | + | 25.6781i | 0.612404 | + | 1.05182i | |||||
6.30568i | 0.258074i | |||||||||
2.23266 | + | 8.27191i | 0.0913005 | + | 0.338263i | |||||
−37.2899 | −1.52362 | −0.761812 | − | 0.647798i | ||||||
−0.761812 | + | 0.647798i | ||||||||
0 | 0 | |||||||||
23.7882 | 0.970341 | 0.485170 | − | 0.874420i | ||||||
0.485170 | + | 0.874420i | ||||||||
−2.60431 | − | 9.64884i | −0.106144 | − | 0.393257i | |||||
− | 18.6045i | − | 0.757632i | |||||||
17.5321 | − | 10.2078i | 0.713370 | − | 0.415349i | |||||
0 | 0 | |||||||||
1.23542 | − | 0.333452i | 0.0501857 | − | 0.0135456i | |||||
−32.6940 | −1.32701 | −0.663505 | − | 0.748172i | ||||||
−0.663505 | + | 0.748172i | ||||||||
17.7562 | + | 4.58425i | 0.720111 | + | 0.185916i | |||||
4.25715 | 0.172508 | |||||||||
0 | 0 | |||||||||
2.52123i | 0.101998i | |||||||||
13.9061 | − | 8.09659i | 0.562119 | − | 0.327285i | |||||
− | 5.70642i | − | 0.230480i | −0.993338 | − | 0.115240i | ||||
0.993338 | − | 0.115240i | ||||||||
−4.91029 | − | 18.1924i | −0.198163 | − | 0.734185i | |||||
0 | 0 | |||||||||
9.07564 | + | 8.97665i | 0.365668 | + | 0.361679i | |||||
18.9653 | 0.763514 | 0.381757 | − | 0.924263i | ||||||
0.381757 | + | 0.924263i | ||||||||
0.735816 | + | 2.72616i | 0.0295989 | + | 0.109662i | |||||
32.0663i | 1.28885i | 0.764666 | + | 0.644427i | ||||||
−0.764666 | + | 0.644427i | ||||||||
0 | 0 | |||||||||
15.8651i | 0.636643i | |||||||||
4.37537 | − | 1.18095i | 0.175436 | − | 0.0473519i | |||||
−12.4076 | −0.497099 | |||||||||
1.13855 | − | 2.00575i | 0.0455785 | − | 0.0802944i | |||||
0 | 0 | |||||||||
33.1391 | − | 8.94456i | 1.32451 | − | 0.357497i | |||||
6.64901i | 0.265536i | |||||||||
−7.54486 | − | 12.9585i | −0.301073 | − | 0.517098i | |||||
− | 31.2137i | − | 1.24457i | |||||||
0 | 0 | |||||||||
−11.4737 | −0.456762 | −0.228381 | − | 0.973572i | ||||||
−0.228381 | + | 0.973572i | ||||||||
−17.1120 | + | 17.3008i | −0.680680 | + | 0.688187i | |||||
−2.00880 | −0.0798427 | |||||||||
−1.39735 | − | 5.17711i | −0.0554958 | − | 0.205609i | |||||
0 | 0 | |||||||||
1.45858 | − | 0.849236i | 0.0578365 | − | 0.0336744i | |||||
− | 6.43503i | − | 0.254965i | |||||||
−40.1237 | + | 10.8298i | −1.58851 | + | 0.428754i | |||||
−8.97215 | −0.354933 | |||||||||
0 | 0 | |||||||||
−0.258289 | −0.0102018 | −0.00510089 | − | 0.999987i | ||||||
−0.00510089 | + | 0.999987i | ||||||||
11.2176 | − | 3.02774i | 0.442724 | − | 0.119495i | |||||
31.8119i | 1.25454i | 0.778802 | + | 0.627269i | ||||||
−0.778802 | + | 0.627269i | ||||||||
−10.5177 | + | 6.12380i | −0.414457 | + | 0.241311i | |||||
0 | 0 | |||||||||
3.51214 | + | 13.0123i | 0.138183 | + | 0.511962i | |||||
−24.3294 | −0.956486 | −0.478243 | − | 0.878228i | ||||||
−0.478243 | + | 0.878228i | ||||||||
−13.3273 | + | 13.4743i | −0.523546 | + | 0.529320i | |||||
−22.1897 | −0.871022 | |||||||||
0 | 0 | |||||||||
− | 4.16764i | − | 0.163343i | |||||||
9.00851 | + | 15.4723i | 0.352801 | + | 0.605942i | |||||
− | 39.3785i | − | 1.54100i | −0.637440 | − | 0.770500i | ||||
0.637440 | − | 0.770500i | ||||||||
−10.9338 | + | 2.95114i | −0.427547 | + | 0.115399i | |||||
0 | 0 | |||||||||
4.11551 | − | 7.25019i | 0.160684 | − | 0.283072i | |||||
19.0979 | 0.745082 | |||||||||
−3.45763 | + | 0.933248i | −0.134793 | + | 0.0363818i | |||||
33.7063i | 1.31301i | 0.754321 | + | 0.656506i | ||||||
−0.754321 | + | 0.656506i | ||||||||
0 | 0 | |||||||||
32.9163i | 1.28029i | 0.768252 | + | 0.640147i | ||||||
−0.768252 | + | 0.640147i | ||||||||
0.833580 | + | 3.08837i | 0.0323980 | + | 0.120033i | |||||
1.69508 | 0.0658313 | |||||||||
27.0995 | + | 26.8039i | 1.05167 | + | 1.04019i | |||||
0 | 0 | |||||||||
10.7086 | + | 39.6747i | 0.414949 | + | 1.53736i | |||||
− | 39.6241i | − | 1.53425i | |||||||
−4.32003 | + | 2.51527i | −0.167147 | + | 0.0973187i | |||||
12.2367i | 0.473097i | |||||||||
0 | 0 | |||||||||
−26.5862 | −1.02635 | |||||||||
3.17215 | + | 0.818977i | 0.122368 | + | 0.0315927i | |||||
2.87683 | 0.110894 | 0.0554468 | − | 0.998462i | ||||||
0.0554468 | + | 0.998462i | ||||||||
39.1384 | − | 10.5638i | 1.50755 | − | 0.406903i | |||||
0 | 0 | |||||||||
20.2858 | − | 11.8111i | 0.780222 | − | 0.454272i | |||||
− | 28.6415i | − | 1.10078i | −0.834907 | − | 0.550391i | ||||
0.834907 | − | 0.550391i | ||||||||
0.561612 | + | 2.08074i | 0.0215686 | + | 0.0799105i | |||||
21.0753 | 0.808794 | |||||||||
0 | 0 | |||||||||
12.6724 | 0.485607 | |||||||||
10.6021 | + | 39.2801i | 0.405974 | + | 1.50411i | |||||
− | 18.3147i | − | 0.700792i | −0.936602 | − | 0.350396i | ||||
0.936602 | − | 0.350396i | ||||||||
−8.92833 | − | 15.3346i | −0.341383 | − | 0.586332i | |||||
0 | 0 | |||||||||
19.6144 | − | 5.29410i | 0.748881 | − | 0.202130i | |||||
11.3241 | 0.432043 | |||||||||
21.7765 | + | 12.3612i | 0.830220 | + | 0.471268i | |||||
−1.84875 | −0.0704318 | |||||||||
0 | 0 | |||||||||
− | 14.4710i | − | 0.550502i | −0.961372 | − | 0.275251i | ||||
0.961372 | − | 0.275251i | ||||||||
−0.593291 | − | 1.01899i | −0.0225535 | − | 0.0387361i | |||||
− | 12.3516i | − | 0.469198i | |||||||
1.11973 | + | 4.14856i | 0.0425045 | + | 0.157477i | |||||
0 | 0 | |||||||||
−7.50073 | + | 7.58344i | −0.284314 | + | 0.287450i | |||||
6.12718 | 0.232084 | |||||||||
9.64076 | + | 35.7185i | 0.364908 | + | 1.35197i | |||||
10.0597i | 0.380493i | |||||||||
0 | 0 | |||||||||
18.5603i | 0.701013i | 0.936560 | + | 0.350506i | ||||||
−0.936560 | + | 0.350506i | ||||||||
−4.51631 | + | 1.21900i | −0.170457 | + | 0.0460080i | |||||
−34.4202 | −1.29818 | |||||||||
−31.9810 | + | 0.350765i | −1.20533 | + | 0.0132200i | |||||
0 | 0 | |||||||||
−40.2702 | + | 10.8693i | −1.51559 | + | 0.409072i | |||||
− | 1.99104i | − | 0.0748809i | |||||||
−4.92157 | + | 2.86551i | −0.184964 | + | 0.107692i | |||||
− | 43.3934i | − | 1.62967i | −0.579690 | − | 0.814837i | ||||
0.579690 | − | 0.814837i | ||||||||
0 | 0 | |||||||||
23.5456 | 0.883029 | |||||||||
21.8611 | − | 22.1022i | 0.819279 | − | 0.828314i | |||||
−38.7910 | −1.45273 | |||||||||
0.627443 | + | 2.32464i | 0.0234815 | + | 0.0869976i | |||||
0 | 0 | |||||||||
−10.3681 | − | 17.8074i | −0.387474 | − | 0.665494i | |||||
6.35359i | 0.237279i | |||||||||
−12.1698 | + | 3.28473i | −0.454172 | + | 0.122585i | |||||
14.8496 | 0.553797 | 0.276899 | − | 0.960899i | ||||||
0.276899 | + | 0.960899i | ||||||||
0 | 0 | |||||||||
4.39356 | 0.163625 | |||||||||
−11.5927 | + | 3.12899i | −0.431437 | + | 0.116449i | |||||
10.4706i | 0.389408i | |||||||||
17.9147 | + | 30.7689i | 0.665795 | + | 1.14352i | |||||
0 | 0 | |||||||||
−0.942081 | − | 3.49036i | −0.0349639 | − | 0.129539i | |||||
6.22824 | 0.230993 | 0.115496 | − | 0.993308i | ||||||
0.115496 | + | 0.993308i | ||||||||
−2.55140 | − | 2.52357i | −0.0945610 | − | 0.0935296i | |||||
13.8082 | 0.511416 | |||||||||
0 | 0 | |||||||||
18.4035i | 0.680676i | |||||||||
−5.89669 | + | 3.43326i | −0.217948 | + | 0.126897i | |||||
43.2406i | 1.59713i | 0.601910 | + | 0.798564i | ||||||
−0.601910 | + | 0.798564i | ||||||||
30.9733 | − | 8.35999i | 1.14325 | − | 0.308573i | |||||
0 | 0 | |||||||||
7.62276 | − | 29.5253i | 0.280979 | − | 1.08832i | |||||
−27.1770 | −1.00108 | |||||||||
−7.78806 | + | 2.10207i | −0.286683 | + | 0.0773783i | |||||
10.0469i | 0.369582i | 0.982778 | + | 0.184791i | ||||||
−0.982778 | + | 0.184791i | ||||||||
0 | 0 | |||||||||
− | 1.86921i | − | 0.0686670i | |||||||
−0.684327 | − | 2.53540i | −0.0251224 | − | 0.0930773i | |||||
5.85860 | 0.214931 | 0.107466 | − | 0.994209i | ||||||
0.107466 | + | 0.994209i | ||||||||
7.42400 | + | 7.34302i | 0.272177 | + | 0.269208i | |||||
0 | 0 | |||||||||
−2.38180 | − | 8.82445i | −0.0872039 | − | 0.323086i | |||||
− | 36.8814i | − | 1.34942i | |||||||
−11.8273 | − | 20.3137i | −0.432450 | − | 0.742742i | |||||
− | 18.0786i | − | 0.660579i | |||||||
0 | 0 | |||||||||
−16.0419 | −0.585377 | −0.292688 | − | 0.956208i | ||||||
−0.292688 | + | 0.956208i | ||||||||
4.42962 | − | 7.80354i | 0.161532 | − | 0.284566i | |||||
11.3900 | 0.415075 | |||||||||
11.2798 | − | 3.04452i | 0.410786 | − | 0.110875i | |||||
0 | 0 | |||||||||
−3.34348 | − | 5.74250i | −0.121601 | − | 0.208853i | |||||
15.5665i | 0.565773i | 0.959153 | + | 0.282886i | ||||||
−0.959153 | + | 0.282886i | ||||||||
−1.59122 | − | 5.89540i | −0.0577958 | − | 0.214130i | |||||
11.0561 | 0.401309 | |||||||||
0 | 0 | |||||||||
−26.9097 | −0.975477 | −0.487739 | − | 0.872990i | ||||||
−0.487739 | + | 0.872990i | ||||||||
2.31963 | + | 8.59410i | 0.0840312 | + | 0.311331i | |||||
17.6213i | 0.637933i | |||||||||
−32.6784 | + | 19.0265i | −1.18226 | + | 0.688356i | |||||
0 | 0 | |||||||||
−15.1621 | + | 4.09238i | −0.547828 | + | 0.147864i | |||||
6.23810 | 0.225245 | |||||||||
−7.04794 | + | 4.20773i | −0.254321 | + | 0.151833i | |||||
17.0952 | 0.616470 | 0.308235 | − | 0.951310i | ||||||
0.308235 | + | 0.951310i | ||||||||
0 | 0 | |||||||||
− | 6.69975i | − | 0.241286i | |||||||
−17.7514 | + | 10.3355i | −0.638886 | + | 0.371982i | |||||
6.32624i | 0.227539i | 0.993507 | + | 0.113770i | ||||||
−0.993507 | + | 0.113770i | ||||||||
−6.31373 | − | 23.3920i | −0.226942 | − | 0.840809i | |||||
0 | 0 | |||||||||
−37.1328 | + | 37.5423i | −1.33299 | + | 1.34769i | |||||
−6.14916 | −0.220600 | |||||||||
−5.73016 | − | 21.2300i | −0.205436 | − | 0.761131i | |||||
− | 6.75661i | − | 0.242081i | |||||||
0 | 0 | |||||||||
13.1063i | 0.468981i | |||||||||
21.6370 | − | 5.84003i | 0.773738 | − | 0.208839i | |||||
21.6341 | 0.773138 | |||||||||
−11.3059 | + | 19.9173i | −0.403782 | + | 0.711332i | |||||
0 | 0 | |||||||||
−9.29085 | + | 2.50769i | −0.331394 | + | 0.0894462i | |||||
53.5766i | 1.90980i | 0.296929 | + | 0.954899i | ||||||
−0.296929 | + | 0.954899i | ||||||||
0.208452 | + | 0.358021i | 0.00742581 | + | 0.0127540i | |||||
− | 15.0003i | − | 0.534026i | |||||||
0 | 0 | |||||||||
3.35339 | 0.119233 | |||||||||
22.0024 | + | 21.7624i | 0.781822 | + | 0.773294i | |||||
7.47406 | 0.265412 | |||||||||
−9.93838 | − | 36.8212i | −0.352700 | − | 1.30673i | |||||
0 | 0 | |||||||||
−21.2438 | + | 12.3689i | −0.752966 | + | 0.438403i | |||||
− | 41.6834i | − | 1.47650i | −0.674527 | − | 0.738251i | ||||
0.674527 | − | 0.738251i | ||||||||
2.56345 | − | 0.691898i | 0.0907450 | − | 0.0244929i | |||||
6.59483 | 0.233308 | |||||||||
0 | 0 | |||||||||
−30.0802 | −1.06283 | |||||||||
−49.3018 | + | 13.3070i | −1.74091 | + | 0.469887i | |||||
− | 27.8979i | − | 0.984495i | |||||||
−6.02773 | + | 3.50956i | −0.212582 | + | 0.123772i | |||||
0 | 0 | |||||||||
−2.98051 | − | 11.0426i | −0.104984 | − | 0.388961i | |||||
10.9914 | 0.386917 | |||||||||
3.54674 | + | 3.50805i | 0.124774 | + | 0.123413i | |||||
−26.9010 | −0.945788 | −0.472894 | − | 0.881119i | ||||||
−0.472894 | + | 0.881119i | ||||||||
0 | 0 | |||||||||
− | 5.88980i | − | 0.206819i | −0.994639 | − | 0.103409i | ||||
0.994639 | − | 0.103409i | ||||||||
8.35058 | + | 14.3423i | 0.293048 | + | 0.503315i | |||||
− | 0.594069i | − | 0.0208349i | |||||||
57.9560 | − | 15.6429i | 2.03136 | − | 0.548282i | |||||
0 | 0 | |||||||||
−5.24649 | − | 2.97813i | −0.183664 | − | 0.104255i | |||||
20.2940 | 0.709997 | |||||||||
−21.1833 | + | 5.71758i | −0.740658 | + | 0.199911i | |||||
3.47234i | 0.121334i | |||||||||
0 | 0 | |||||||||
− | 48.2445i | − | 1.68374i | −0.539677 | − | 0.841872i | ||||
0.539677 | − | 0.841872i | ||||||||
−2.53084 | − | 9.37664i | −0.0882733 | − | 0.327048i | |||||
−51.9289 | −1.81013 | −0.905063 | − | 0.425277i | ||||||
−0.905063 | + | 0.425277i | ||||||||
−7.74107 | + | 7.82644i | −0.269673 | + | 0.272647i | |||||
0 | 0 | |||||||||
2.30907 | + | 8.55498i | 0.0803428 | + | 0.297666i | |||||
− | 28.2849i | − | 0.983562i | −0.870719 | − | 0.491781i | ||||
0.870719 | − | 0.491781i | ||||||||
−25.4985 | + | 14.8461i | −0.886136 | + | 0.515939i | |||||
− | 14.2294i | − | 0.494209i | −0.968989 | − | 0.247104i | ||||
0.968989 | − | 0.247104i | ||||||||
0 | 0 | |||||||||
8.62168 | 0.299083 | |||||||||
8.99068 | − | 0.0986092i | 0.311696 | − | 0.00341866i | |||||
−16.8323 | −0.583203 | |||||||||
14.1910 | − | 3.83027i | 0.491393 | − | 0.132632i | |||||
0 | 0 | |||||||||
−22.4004 | + | 13.0423i | −0.774735 | + | 0.451078i | |||||
− | 21.1792i | − | 0.732060i | |||||||
−9.92656 | − | 36.7774i | −0.342907 | − | 1.27045i | |||||
5.04346 | 0.174120 | 0.0870598 | − | 0.996203i | ||||||
0.0870598 | + | 0.996203i | ||||||||
0 | 0 | |||||||||
−25.0325 | −0.863191 | |||||||||
2.26508 | + | 8.39202i | 0.0780600 | + | 0.289208i | |||||
− | 4.61277i | − | 0.158872i | |||||||
−3.94035 | − | 6.76763i | −0.135633 | − | 0.232952i | |||||
0 | 0 | |||||||||
−8.38247 | + | 2.26251i | −0.288195 | + | 0.0777866i | |||||
−5.62517 | −0.193283 | |||||||||
5.72214 | + | 3.24813i | 0.196499 | + | 0.111541i | |||||
7.92101 | 0.271848 | |||||||||
0 | 0 | |||||||||
57.2343i | 1.96197i | |||||||||
1.69251 | + | 2.90692i | 0.0579845 | + | 0.0995895i | |||||
46.2026i | 1.58195i | 0.611850 | + | 0.790974i | ||||||
−0.611850 | + | 0.790974i | ||||||||
2.76657 | + | 10.2500i | 0.0946701 | + | 0.350748i | |||||
0 | 0 | |||||||||
32.2043 | + | 31.8530i | 1.10072 | + | 1.08871i | |||||
41.5405 | 1.41900 | 0.709499 | − | 0.704707i | ||||||
0.709499 | + | 0.704707i | ||||||||
0.849494 | + | 3.14733i | 0.0290012 | + | 0.107448i | |||||
37.9644i | 1.29533i | 0.761925 | + | 0.647665i | ||||||
−0.761925 | + | 0.647665i | ||||||||
0 | 0 | |||||||||
− | 1.20707i | − | 0.0411368i | |||||||
−50.3681 | + | 13.5948i | −1.71554 | + | 0.463041i | |||||
−2.89022 | −0.0983843 | −0.0491922 | − | 0.998789i | ||||||
−0.0491922 | + | 0.998789i | ||||||||
16.1203 | + | 4.16189i | 0.548424 | + | 0.141590i | |||||
0 | 0 | |||||||||
15.8141 | − | 4.26838i | 0.537386 | − | 0.145046i | |||||
4.28761i | 0.145615i | |||||||||
14.0407 | − | 8.17501i | 0.476574 | − | 0.277478i | |||||
− | 34.3949i | − | 1.16677i | |||||||
0 | 0 | |||||||||
7.64015 | 0.258877 | |||||||||
−31.3896 | − | 31.0472i | −1.06299 | − | 1.05139i | |||||
51.0935 | 1.72925 | |||||||||
−6.43996 | − | 23.8597i | −0.217835 | − | 0.807067i | |||||
0 | 0 | |||||||||
−3.60265 | − | 6.18762i | −0.121722 | − | 0.209060i | |||||
− | 43.0916i | − | 1.45510i | −0.686055 | − | 0.727550i | ||||
0.686055 | − | 0.727550i | ||||||||
5.66860 | − | 1.53001i | 0.191306 | − | 0.0516353i | |||||
−0.831423 | −0.0280432 | |||||||||
0 | 0 | |||||||||
−2.06410 | −0.0695414 | −0.0347707 | − | 0.999395i | ||||||
−0.0347707 | + | 0.999395i | ||||||||
21.3949 | − | 5.77469i | 0.720405 | − | 0.194444i | |||||
51.4835i | 1.73256i | 0.499562 | + | 0.866278i | ||||||
−0.499562 | + | 0.866278i | ||||||||
3.32497 | + | 5.71070i | 0.111831 | + | 0.192071i | |||||
0 | 0 | |||||||||
5.79783 | + | 21.4807i | 0.194782 | + | 0.721657i | |||||
55.5749 | 1.86602 | 0.933012 | − | 0.359845i | ||||||
0.933012 | + | 0.359845i | ||||||||
10.8343 | − | 10.9538i | 0.363575 | − | 0.367585i | |||||
13.8505 | 0.464531 | |||||||||
0 | 0 | |||||||||
− | 26.7877i | − | 0.897422i | |||||||
−41.2252 | + | 24.0028i | −1.38032 | + | 0.803672i | |||||
− | 7.27229i | − | 0.243358i | |||||||
−10.4066 | + | 2.80884i | −0.348049 | + | 0.0939415i | |||||
0 | 0 | |||||||||
3.46319 | + | 12.2934i | 0.115697 | + | 0.410694i | |||||
−3.10814 | −0.103778 | |||||||||
28.2439 | − | 7.62329i | 0.942511 | − | 0.254393i | |||||
52.8965i | 1.76420i | |||||||||
0 | 0 | |||||||||
4.83582i | 0.161105i | |||||||||
3.07066 | + | 11.3766i | 0.102242 | + | 0.378801i | |||||
3.62552 | 0.120650 | |||||||||
−5.90838 | + | 5.97354i | −0.196510 | + | 0.198677i | |||||
0 | 0 | |||||||||
1.91777 | + | 7.10525i | 0.0637137 | + | 0.236056i | |||||
− | 15.8669i | − | 0.526852i | −0.964680 | − | 0.263426i | ||||
0.964680 | − | 0.263426i | ||||||||
24.8574 | + | 42.6931i | 0.824923 | + | 1.41682i | |||||
− | 4.82696i | − | 0.160100i | |||||||
0 | 0 | |||||||||
−30.4293 | −1.00817 | −0.504084 | − | 0.863655i | ||||||
−0.504084 | + | 0.863655i | ||||||||
−3.28406 | + | 5.78545i | −0.108746 | + | 0.191575i | |||||
−53.8755 | −1.78302 | |||||||||
−39.2112 | + | 10.5835i | −1.29699 | + | 0.350070i | |||||
0 | 0 | |||||||||
22.2128 | + | 38.1509i | 0.733931 | + | 1.26054i | |||||
14.9734i | 0.494465i | |||||||||
3.18855 | + | 11.8134i | 0.105238 | + | 0.389901i | |||||
−15.1819 | −0.500803 | −0.250402 | − | 0.968142i | ||||||
−0.250402 | + | 0.968142i | ||||||||
0 | 0 | |||||||||
6.83572 | 0.225245 | |||||||||
10.2104 | + | 37.8290i | 0.336261 | + | 1.24583i | |||||
− | 3.68452i | − | 0.121278i | |||||||
−4.00183 | + | 2.33001i | −0.131651 | + | 0.0766517i | |||||
0 | 0 | |||||||||
−36.8061 | + | 9.93432i | −1.20952 | + | 0.326462i | |||||
10.6515 | 0.349840 | |||||||||
−40.2616 | − | 10.3946i | −1.32165 | − | 0.341220i | |||||
−8.00028 | −0.262481 | −0.131240 | − | 0.991351i | ||||||
−0.131240 | + | 0.991351i | ||||||||
0 | 0 | |||||||||
18.5614i | 0.608325i | |||||||||
−33.8911 | + | 19.7326i | −1.11014 | + | 0.646362i | |||||
1.64403i | 0.0538231i | |||||||||
−11.5367 | − | 42.7427i | −0.377491 | − | 1.39858i | |||||
0 | 0 | |||||||||
−6.18544 | − | 6.11797i | −0.202178 | − | 0.199972i | |||||
10.0303 | 0.327676 | 0.163838 | − | 0.986487i | ||||||
0.163838 | + | 0.986487i | ||||||||
2.82805 | + | 10.4778i | 0.0923391 | + | 0.342112i | |||||
12.4519i | 0.406353i | |||||||||
0 | 0 | |||||||||
− | 4.23635i | − | 0.138101i | −0.997613 | − | 0.0690506i | ||||
0.997613 | − | 0.0690506i | ||||||||
5.25168 | − | 1.41748i | 0.171109 | − | 0.0461839i | |||||
−11.2350 | −0.365861 | |||||||||
−19.3078 | − | 10.9599i | −0.628414 | − | 0.356714i | |||||
0 | 0 | |||||||||
−34.1706 | + | 9.22296i | −1.11098 | + | 0.299864i | |||||
3.33715i | 0.108443i | 0.998529 | + | 0.0542213i | ||||||
−0.998529 | + | 0.0542213i | ||||||||
−4.44166 | − | 7.62863i | −0.144258 | − | 0.247767i | |||||
7.84281i | 0.254588i | |||||||||
0 | 0 | |||||||||
1.94528 | 0.0630800 | |||||||||
−6.60095 | + | 6.67374i | −0.213938 | + | 0.216297i | |||||
−10.9309 | −0.354086 | −0.177043 | − | 0.984203i | ||||||
−0.177043 | + | 0.984203i | ||||||||
−1.65904 | − | 6.14665i | −0.0537134 | − | 0.199005i | |||||
0 | 0 | |||||||||
−21.4052 | + | 12.4629i | −0.692294 | + | 0.403078i | |||||
− | 15.0763i | − | 0.487349i | |||||||
44.6317 | − | 12.0465i | 1.44199 | − | 0.389205i | |||||
−15.1117 | −0.487981 | |||||||||
0 | 0 | |||||||||
20.7844 | 0.670463 | |||||||||
−16.2929 | + | 4.39761i | −0.525305 | + | 0.141785i | |||||
− | 43.8287i | − | 1.41236i | |||||||
−35.2755 | + | 20.5386i | −1.13615 | + | 0.661505i | |||||
0 | 0 | |||||||||
−1.15050 | − | 4.26253i | −0.0370167 | − | 0.137145i | |||||
−40.7599 | −1.31075 | −0.655375 | − | 0.755304i | ||||||
−0.655375 | + | 0.755304i | ||||||||
9.91106 | − | 10.0204i | 0.318553 | − | 0.322067i | |||||
−4.88932 | −0.157068 | |||||||||
0 | 0 | |||||||||
56.9328i | 1.82706i | 0.406772 | + | 0.913530i | ||||||
−0.406772 | + | 0.913530i | ||||||||
−12.3445 | − | 21.2020i | −0.395951 | − | 0.680054i | |||||
− | 22.8706i | − | 0.733197i | |||||||
−24.0361 | + | 6.48756i | −0.770165 | + | 0.207875i | |||||
0 | 0 | |||||||||
−23.1332 | − | 13.1314i | −0.740477 | − | 0.420326i | |||||
17.1254 | 0.547892 | 0.273946 | − | 0.961745i | ||||||
0.273946 | + | 0.961745i | ||||||||
−6.27047 | + | 1.69246i | −0.200508 | + | 0.0541189i | |||||
43.9405i | 1.40434i | |||||||||
0 | 0 | |||||||||
42.7199i | 1.36394i | |||||||||
0.483250 | + | 1.79041i | 0.0154211 | + | 0.0571344i | |||||
51.3738 | 1.63857 | 0.819284 | − | 0.573388i | ||||||
0.819284 | + | 0.573388i | ||||||||
2.15020 | + | 2.12675i | 0.0685460 | + | 0.0677983i | |||||
0 | 0 | |||||||||
−7.96363 | − | 29.5048i | −0.253614 | − | 0.939625i | |||||
− | 1.29919i | − | 0.0413538i | |||||||
6.29734 | − | 3.66653i | 0.200345 | − | 0.116648i | |||||
− | 33.7451i | − | 1.07303i | |||||||
0 | 0 | |||||||||
−23.9933 | −0.762171 | −0.381085 | − | 0.924540i | ||||||
−0.381085 | + | 0.924540i | ||||||||
−10.1761 | + | 39.4151i | −0.323090 | + | 1.25143i | |||||
−1.16045 | −0.0368256 | |||||||||
5.05299 | − | 1.36385i | 0.160271 | − | 0.0432587i | |||||
0 | 0 | |||||||||
−11.9493 | + | 6.95732i | −0.378629 | + | 0.220451i | |||||
− | 7.90228i | − | 0.250268i | −0.992140 | − | 0.125134i | ||||
0.992140 | − | 0.125134i | ||||||||
7.83679 | + | 29.0349i | 0.248069 | + | 0.919084i | |||||
−31.2489 | −0.988673 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1000.2.d.c.501.6 | yes | 40 | |
4.3 | odd | 2 | 4000.2.d.c.2001.20 | 40 | |||
5.2 | odd | 4 | 1000.2.f.c.749.9 | 20 | |||
5.3 | odd | 4 | 1000.2.f.d.749.12 | 20 | |||
5.4 | even | 2 | inner | 1000.2.d.c.501.35 | yes | 40 | |
8.3 | odd | 2 | 4000.2.d.c.2001.19 | 40 | |||
8.5 | even | 2 | inner | 1000.2.d.c.501.5 | ✓ | 40 | |
20.3 | even | 4 | 4000.2.f.d.3249.8 | 20 | |||
20.7 | even | 4 | 4000.2.f.c.3249.13 | 20 | |||
20.19 | odd | 2 | 4000.2.d.c.2001.21 | 40 | |||
40.3 | even | 4 | 4000.2.f.c.3249.14 | 20 | |||
40.13 | odd | 4 | 1000.2.f.c.749.10 | 20 | |||
40.19 | odd | 2 | 4000.2.d.c.2001.22 | 40 | |||
40.27 | even | 4 | 4000.2.f.d.3249.7 | 20 | |||
40.29 | even | 2 | inner | 1000.2.d.c.501.36 | yes | 40 | |
40.37 | odd | 4 | 1000.2.f.d.749.11 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1000.2.d.c.501.5 | ✓ | 40 | 8.5 | even | 2 | inner | |
1000.2.d.c.501.6 | yes | 40 | 1.1 | even | 1 | trivial | |
1000.2.d.c.501.35 | yes | 40 | 5.4 | even | 2 | inner | |
1000.2.d.c.501.36 | yes | 40 | 40.29 | even | 2 | inner | |
1000.2.f.c.749.9 | 20 | 5.2 | odd | 4 | |||
1000.2.f.c.749.10 | 20 | 40.13 | odd | 4 | |||
1000.2.f.d.749.11 | 20 | 40.37 | odd | 4 | |||
1000.2.f.d.749.12 | 20 | 5.3 | odd | 4 | |||
4000.2.d.c.2001.19 | 40 | 8.3 | odd | 2 | |||
4000.2.d.c.2001.20 | 40 | 4.3 | odd | 2 | |||
4000.2.d.c.2001.21 | 40 | 20.19 | odd | 2 | |||
4000.2.d.c.2001.22 | 40 | 40.19 | odd | 2 | |||
4000.2.f.c.3249.13 | 20 | 20.7 | even | 4 | |||
4000.2.f.c.3249.14 | 20 | 40.3 | even | 4 | |||
4000.2.f.d.3249.7 | 20 | 40.27 | even | 4 | |||
4000.2.f.d.3249.8 | 20 | 20.3 | even | 4 |