Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(301,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("825.301");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 825.n (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: | no (minimal twist has level 165) |
Sato-Tate group: |
Embedding invariants
Embedding label | 526.2 | ||
Character | 825.526 | ||
Dual form | 825.2.n.p.676.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.650947 | + | 2.00341i | −0.460289 | + | 1.41662i | 0.404523 | + | 0.914528i | ||
−0.864812 | + | 0.502096i | ||||||||
−0.809017 | + | 0.587785i | −0.467086 | + | 0.339358i | |||||
−1.97188 | − | 1.43266i | −0.985942 | − | 0.716328i | |||||
0 | 0 | |||||||||
−0.650947 | − | 2.00341i | −0.265748 | − | 0.817888i | |||||
−2.68296 | − | 1.94929i | −1.01407 | − | 0.736761i | −0.0490073 | − | 0.998798i | ||
−0.965058 | + | 0.262037i | ||||||||
0.745386 | − | 0.541555i | 0.263534 | − | 0.191469i | |||||
0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | |||||
0 | 0 | |||||||||
3.31267 | − | 0.162019i | 0.998806 | − | 0.0488505i | |||||
2.43738 | 0.703611 | |||||||||
−0.772198 | + | 2.37658i | −0.214169 | + | 0.659145i | 0.785042 | + | 0.619442i | ||
−0.999212 | + | 0.0397029i | ||||||||
5.65169 | − | 4.10619i | 1.51048 | − | 1.09743i | |||||
0 | 0 | |||||||||
−0.906636 | − | 2.79034i | −0.226659 | − | 0.697584i | |||||
−2.10446 | − | 6.47687i | −0.510408 | − | 1.57087i | −0.791486 | − | 0.611188i | ||
0.281078 | − | 0.959685i | ||||||||
1.70420 | + | 1.23818i | 0.401684 | + | 0.291841i | |||||
0.928503 | − | 0.674597i | 0.213013 | − | 0.154763i | −0.476163 | − | 0.879357i | ||
0.689176 | + | 0.724594i | ||||||||
0 | 0 | |||||||||
3.31633 | 0.723682 | |||||||||
−1.83178 | + | 6.74209i | −0.390537 | + | 1.43742i | |||||
5.89026 | 1.22820 | 0.614102 | − | 0.789226i | ||||||
0.614102 | + | 0.789226i | ||||||||
−0.284712 | + | 0.876254i | −0.0581167 | + | 0.178865i | |||||
0 | 0 | |||||||||
−4.25861 | − | 3.09406i | −0.835181 | − | 0.606795i | |||||
0.309017 | + | 0.951057i | 0.0594703 | + | 0.183031i | |||||
2.49783 | + | 7.68753i | 0.472046 | + | 1.45281i | |||||
0.908175 | + | 0.659827i | 0.168644 | + | 0.122527i | 0.668906 | − | 0.743347i | ||
−0.500262 | + | 0.865874i | ||||||||
0 | 0 | |||||||||
−0.338908 | + | 1.04305i | −0.0608697 | + | 0.187338i | −0.976867 | − | 0.213846i | ||
0.915998 | + | 0.401183i | ||||||||
8.02306 | 1.41829 | |||||||||
−2.58477 | + | 2.07821i | −0.449951 | + | 0.361770i | |||||
14.3457 | 2.46027 | |||||||||
0 | 0 | |||||||||
−1.97188 | + | 1.43266i | −0.328647 | + | 0.238776i | |||||
9.33514 | + | 6.78238i | 1.53469 | + | 1.11502i | 0.953560 | + | 0.301203i | ||
0.581128 | + | 0.813812i | ||||||||
0.747087 | + | 2.29930i | 0.121194 | + | 0.372995i | |||||
−0.772198 | − | 2.37658i | −0.123651 | − | 0.380558i | |||||
0 | 0 | |||||||||
0.754463 | − | 0.548149i | 0.117827 | − | 0.0856066i | −0.527311 | − | 0.849672i | ||
0.645138 | + | 0.764066i | ||||||||
−2.15875 | + | 6.64396i | −0.333103 | + | 1.02519i | |||||
0.552188 | 0.0842079 | 0.0421040 | − | 0.999113i | ||||||
0.0421040 | + | 0.999113i | ||||||||
−6.76431 | − | 4.42643i | −1.01976 | − | 0.667309i | |||||
0 | 0 | |||||||||
−3.83425 | + | 11.8006i | −0.565329 | + | 1.73990i | |||||
1.72666 | − | 1.25449i | 0.251860 | − | 0.182987i | −0.454691 | − | 0.890649i | ||
0.706551 | + | 0.707663i | ||||||||
2.37360 | + | 1.72452i | 0.342600 | + | 0.248913i | |||||
1.23546 | + | 3.80234i | 0.176494 | + | 0.543192i | |||||
0 | 0 | |||||||||
5.50956 | + | 4.00293i | 0.771493 | + | 0.560522i | |||||
4.92751 | − | 3.58005i | 0.683323 | − | 0.496463i | |||||
3.59560 | − | 11.0661i | 0.493893 | − | 1.52005i | −0.324781 | − | 0.945789i | ||
0.818674 | − | 0.574258i | ||||||||
−2.10651 | −0.286660 | |||||||||
0 | 0 | |||||||||
−3.05549 | −0.408307 | |||||||||
−0.354657 | + | 1.09152i | −0.0469754 | + | 0.144575i | |||||
−1.91308 | + | 1.38993i | −0.251199 | + | 0.182507i | |||||
−6.79443 | − | 4.93644i | −0.884559 | − | 0.642670i | 0.0498947 | − | 0.998754i | ||
−0.934454 | + | 0.356085i | ||||||||
0 | 0 | |||||||||
−2.53800 | − | 7.81115i | −0.324957 | − | 1.00012i | −0.971460 | − | 0.237204i | ||
0.646503 | − | 0.762912i | ||||||||
−1.86905 | − | 1.35794i | −0.237369 | − | 0.172459i | |||||
−2.68296 | + | 1.94929i | −0.338022 | + | 0.245587i | |||||
−3.40931 | + | 10.4928i | −0.426164 | + | 1.31160i | |||||
0 | 0 | |||||||||
−2.48096 | − | 6.53116i | −0.305385 | − | 0.803930i | |||||
−4.15419 | −0.507515 | −0.253757 | − | 0.967268i | ||||||
−0.253757 | + | 0.967268i | ||||||||
−5.12938 | + | 15.7866i | −0.622029 | + | 1.91441i | |||||
−4.76532 | + | 3.46221i | −0.573677 | + | 0.416801i | |||||
0 | 0 | |||||||||
3.87323 | + | 11.9206i | 0.459668 | + | 1.41471i | 0.865566 | + | 0.500795i | ||
−0.405897 | + | 0.913919i | ||||||||
−0.284712 | − | 0.876254i | −0.0335537 | − | 0.103268i | |||||
4.64182 | + | 3.37248i | 0.543284 | + | 0.394719i | 0.825303 | − | 0.564690i | ||
−0.282019 | + | 0.959409i | ||||||||
−19.6646 | + | 14.2871i | −2.28596 | + | 1.66085i | |||||
0 | 0 | |||||||||
−2.79736 | −0.320880 | |||||||||
−9.20358 | − | 6.02265i | −1.04885 | − | 0.686344i | |||||
5.26393 | 0.596022 | |||||||||
−1.19514 | + | 3.67825i | −0.134463 | + | 0.413835i | −0.995506 | − | 0.0946970i | ||
0.861043 | + | 0.508532i | ||||||||
0 | 0 | |||||||||
−0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | |||||
0.607052 | + | 1.86831i | 0.0670377 | + | 0.206321i | |||||
−1.87899 | − | 5.78295i | −0.206246 | − | 0.634761i | −0.999660 | − | 0.0260781i | ||
0.793414 | − | 0.608683i | ||||||||
−6.53941 | − | 4.75116i | −0.713508 | − | 0.518394i | |||||
0 | 0 | |||||||||
−0.359446 | + | 1.10626i | −0.0387600 | + | 0.119291i | |||||
−1.12257 | −0.120352 | |||||||||
2.38147 | − | 1.91476i | 0.253866 | − | 0.204114i | |||||
12.5950 | 1.33506 | 0.667531 | − | 0.744582i | ||||||
0.667531 | + | 0.744582i | ||||||||
0 | 0 | |||||||||
6.70442 | − | 4.87105i | 0.702814 | − | 0.510624i | |||||
−11.6149 | − | 8.43872i | −1.21094 | − | 0.879798i | |||||
−0.338908 | − | 1.04305i | −0.0351431 | − | 0.108159i | |||||
1.38930 | + | 4.27582i | 0.143295 | + | 0.441017i | |||||
0 | 0 | |||||||||
−6.49079 | + | 4.71583i | −0.662463 | + | 0.481308i | |||||
−0.886486 | + | 2.72832i | −0.0900090 | + | 0.277019i | −0.985921 | − | 0.167213i | ||
0.895912 | + | 0.444232i | ||||||||
−8.42187 | −0.850737 | |||||||||
0.869581 | − | 3.20060i | 0.0873962 | − | 0.321672i | |||||
0 | 0 | |||||||||
3.05000 | − | 9.38694i | 0.303487 | − | 0.934036i | −0.676751 | − | 0.736212i | ||
0.980238 | − | 0.197824i | ||||||||
−11.6059 | + | 8.43221i | −1.14916 | + | 0.834913i | |||||
−6.24523 | − | 4.53743i | −0.615361 | − | 0.447086i | 0.235937 | − | 0.971768i | ||
−0.851298 | + | 0.524682i | ||||||||
0.711463 | + | 2.18966i | 0.0697647 | + | 0.214714i | |||||
0 | 0 | |||||||||
19.8294 | + | 14.4069i | 1.92600 | + | 1.39932i | |||||
12.5490 | − | 9.11737i | 1.21316 | − | 0.881409i | 0.217642 | − | 0.976029i | ||
0.995514 | + | 0.0946194i | ||||||||
0.753192 | − | 2.31809i | 0.0724760 | − | 0.223058i | |||||
6.79834 | 0.651163 | 0.325581 | − | 0.945514i | ||||||
0.325581 | + | 0.945514i | ||||||||
0 | 0 | |||||||||
−11.5389 | −1.09522 | |||||||||
−3.00670 | + | 9.25367i | −0.284106 | + | 0.874390i | |||||
0.243910 | − | 0.177211i | 0.0229451 | − | 0.0166706i | −0.576254 | − | 0.817271i | ||
0.599199 | + | 0.800600i | ||||||||
−1.95590 | − | 1.42104i | −0.183187 | − | 0.133093i | |||||
0 | 0 | |||||||||
−0.845508 | − | 2.60221i | −0.0785034 | − | 0.241609i | |||||
2.02164 | + | 1.46881i | 0.186901 | + | 0.135791i | |||||
14.3125 | − | 10.3987i | 1.31757 | − | 0.957274i | |||||
−6.97909 | + | 21.4794i | −0.639772 | + | 1.96902i | |||||
0 | 0 | |||||||||
10.9475 | − | 1.07343i | 0.995227 | − | 0.0975844i | |||||
17.3010 | 1.56636 | |||||||||
−0.288179 | + | 0.886924i | −0.0259842 | + | 0.0799713i | |||||
2.16262 | − | 1.57124i | 0.194209 | − | 0.141101i | |||||
0 | 0 | |||||||||
−2.15875 | − | 6.64396i | −0.192317 | − | 0.591891i | |||||
−2.07208 | − | 6.37720i | −0.183867 | − | 0.565885i | 0.816060 | − | 0.577968i | ||
−0.999927 | + | 0.0120823i | ||||||||
−5.82050 | − | 4.22884i | −0.514464 | − | 0.373780i | |||||
−0.446730 | + | 0.324568i | −0.0393324 | + | 0.0285766i | |||||
0 | 0 | |||||||||
−8.07729 | −0.705716 | −0.352858 | − | 0.935677i | ||||||
−0.352858 | + | 0.935677i | ||||||||
8.07423 | − | 0.394902i | 0.702771 | − | 0.0343718i | |||||
−3.80612 | −0.330033 | |||||||||
2.70416 | − | 8.32254i | 0.233604 | − | 0.718958i | |||||
0 | 0 | |||||||||
−5.07622 | − | 3.68809i | −0.435282 | − | 0.316251i | |||||
−1.98939 | − | 6.12273i | −0.169965 | − | 0.523100i | 0.829402 | − | 0.558652i | ||
−0.999368 | + | 0.0355519i | ||||||||
−3.83425 | − | 11.8006i | −0.326393 | − | 1.00453i | |||||
−5.64344 | − | 4.10020i | −0.478670 | − | 0.347774i | 0.322140 | − | 0.946692i | ||
−0.800811 | + | 0.598918i | ||||||||
0 | 0 | |||||||||
−0.659526 | + | 2.02981i | −0.0555421 | + | 0.170941i | |||||
−26.4031 | −2.21570 | |||||||||
−2.17298 | + | 7.99793i | −0.181714 | + | 0.668820i | |||||
−2.93393 | −0.244495 | |||||||||
0 | 0 | |||||||||
−9.77805 | + | 7.10417i | −0.809237 | + | 0.587945i | |||||
−3.23447 | − | 2.34998i | −0.266774 | − | 0.193823i | |||||
−8.69099 | − | 26.7481i | −0.714395 | − | 2.19868i | |||||
−5.87766 | − | 18.0896i | −0.481516 | − | 1.48196i | −0.836963 | − | 0.547259i | ||
0.355447 | − | 0.934696i | ||||||||
0 | 0 | |||||||||
−3.15582 | + | 2.29284i | −0.256817 | + | 0.186589i | −0.708743 | − | 0.705467i | ||
0.451925 | + | 0.892056i | ||||||||
0.326762 | − | 1.00567i | 0.0265039 | − | 0.0815707i | |||||
−6.81019 | −0.550571 | |||||||||
18.0569 | − | 14.5181i | 1.45506 | − | 1.16990i | |||||
0 | 0 | |||||||||
−1.88214 | + | 5.79264i | −0.150692 | + | 0.463782i | |||||
14.8732 | − | 10.8060i | 1.18701 | − | 0.862413i | 0.194065 | − | 0.980989i | ||
0.992945 | + | 0.118575i | ||||||||
−6.59107 | − | 4.78869i | −0.524357 | − | 0.380968i | |||||
3.59560 | + | 11.0661i | 0.285149 | + | 0.877600i | |||||
0 | 0 | |||||||||
−15.8034 | − | 11.4818i | −1.24548 | − | 0.904894i | |||||
1.70420 | − | 1.23818i | 0.133895 | − | 0.0972802i | |||||
−5.43005 | + | 16.7120i | −0.425314 | + | 1.30898i | 0.477379 | + | 0.878698i | ||
−0.902693 | + | 0.430285i | ||||||||
−2.27302 | −0.177493 | |||||||||
0 | 0 | |||||||||
12.8087 | 0.994151 | |||||||||
−3.73220 | + | 11.4865i | −0.288807 | + | 0.888855i | 0.696425 | + | 0.717629i | ||
−0.985232 | + | 0.171226i | ||||||||
2.47194 | − | 1.79597i | 0.190715 | − | 0.138562i | |||||
5.46537 | + | 3.97083i | 0.420413 | + | 0.305448i | |||||
0 | 0 | |||||||||
−0.354657 | − | 1.09152i | −0.0271213 | − | 0.0834707i | |||||
−1.08885 | − | 0.791097i | −0.0830241 | − | 0.0603206i | |||||
19.6135 | − | 14.2500i | 1.49119 | − | 1.08341i | 0.517454 | − | 0.855711i | ||
0.973732 | − | 0.227698i | ||||||||
0.730731 | − | 2.24896i | 0.0553966 | − | 0.170493i | |||||
0 | 0 | |||||||||
−3.45547 | − | 9.09656i | −0.260466 | − | 0.685679i | |||||
8.39837 | 0.631260 | |||||||||
−8.19865 | + | 25.2329i | −0.614515 | + | 1.89128i | |||||
16.1310 | − | 11.7198i | 1.20569 | − | 0.875982i | 0.210854 | − | 0.977517i | ||
0.994832 | + | 0.101535i | ||||||||
0 | 0 | |||||||||
−1.58615 | − | 4.88168i | −0.117898 | − | 0.362852i | 0.874643 | − | 0.484768i | ||
−0.992540 | + | 0.121916i | ||||||||
5.39448 | + | 16.6025i | 0.399865 | + | 1.23066i | |||||
6.64456 | + | 4.82756i | 0.491180 | + | 0.356863i | |||||
4.39052 | − | 3.18990i | 0.323674 | − | 0.235163i | |||||
0 | 0 | |||||||||
2.31027 | 0.169397 | |||||||||
−8.02076 | − | 21.1148i | −0.586536 | − | 1.54406i | |||||
−5.20204 | −0.379397 | |||||||||
1.02480 | − | 3.15401i | 0.0745433 | − | 0.229421i | |||||
0 | 0 | |||||||||
2.27606 | + | 1.65365i | 0.164690 | + | 0.119654i | 0.667078 | − | 0.744988i | ||
−0.502388 | + | 0.864642i | ||||||||
−3.40931 | − | 10.4928i | −0.246046 | − | 0.757252i | |||||
−5.96502 | − | 18.3584i | −0.429371 | − | 1.32147i | −0.898746 | − | 0.438470i | ||
0.469374 | − | 0.882999i | ||||||||
−4.88889 | − | 3.55199i | −0.351002 | − | 0.255018i | |||||
0 | 0 | |||||||||
3.01128 | − | 9.26776i | 0.215091 | − | 0.661983i | |||||
3.57956 | 0.255033 | 0.127516 | − | 0.991836i | ||||||
0.127516 | + | 0.991836i | ||||||||
5.84606 | + | 3.82555i | 0.415461 | + | 0.271870i | |||||
12.7087 | 0.900893 | 0.450447 | − | 0.892803i | ||||||
0.450447 | + | 0.892803i | ||||||||
0 | 0 | |||||||||
3.36081 | − | 2.44177i | 0.237053 | − | 0.172229i | |||||
16.8205 | + | 12.2208i | 1.18349 | + | 0.859853i | |||||
−1.15041 | − | 3.54059i | −0.0807427 | − | 0.248500i | |||||
−5.12938 | − | 15.7866i | −0.359129 | − | 1.10528i | |||||
0 | 0 | |||||||||
13.1556 | − | 9.55813i | 0.916597 | − | 0.665947i | |||||
1.82019 | − | 5.60197i | 0.126512 | − | 0.389364i | |||||
7.33157 | 0.508353 | |||||||||
2.96652 | − | 2.38515i | 0.205199 | − | 0.164984i | |||||
0 | 0 | |||||||||
−1.08007 | + | 3.32412i | −0.0743552 | + | 0.228842i | −0.981326 | − | 0.192352i | ||
0.906971 | + | 0.421193i | ||||||||
−22.9440 | + | 16.6698i | −1.57580 | + | 1.14489i | |||||
−10.1403 | − | 7.36733i | −0.694799 | − | 0.504801i | |||||
10.0971 | + | 31.0757i | 0.690223 | + | 2.12429i | |||||
0 | 0 | |||||||||
0.745386 | + | 0.541555i | 0.0507171 | + | 0.0368481i | |||||
2.94249 | − | 2.13784i | 0.199749 | − | 0.145126i | |||||
−4.42536 | + | 13.6199i | −0.299723 | + | 0.922453i | |||||
−5.73761 | −0.387712 | |||||||||
0 | 0 | |||||||||
17.0179 | 1.14475 | |||||||||
7.51119 | − | 23.1171i | 0.504118 | − | 1.55152i | |||||
4.21140 | − | 3.05976i | 0.282016 | − | 0.204897i | −0.437780 | − | 0.899082i | ||
0.719796 | + | 0.694185i | ||||||||
−21.5256 | − | 15.6392i | −1.43824 | − | 1.04494i | |||||
0 | 0 | |||||||||
0.196253 | + | 0.604005i | 0.0130546 | + | 0.0401778i | |||||
7.84944 | + | 5.70295i | 0.520985 | + | 0.378518i | 0.816975 | − | 0.576673i | ||
−0.295990 | + | 0.955191i | ||||||||
2.26312 | − | 1.64425i | 0.149878 | − | 0.108893i | |||||
5.71715 | − | 17.5956i | 0.377800 | − | 1.16275i | −0.563770 | − | 0.825932i | ||
0.941570 | − | 0.336817i | ||||||||
0 | 0 | |||||||||
10.9859 | − | 0.537307i | 0.722818 | − | 0.0353522i | |||||
1.03427 | 0.0679034 | |||||||||
4.62115 | − | 14.2224i | 0.302741 | − | 0.931742i | −0.677769 | − | 0.735275i | ||
0.980510 | − | 0.196467i | ||||||||
−4.25861 | + | 3.09406i | −0.278394 | + | 0.202265i | |||||
0 | 0 | |||||||||
6.32559 | + | 19.4682i | 0.411761 | + | 1.26727i | |||||
−1.19514 | − | 3.67825i | −0.0776324 | − | 0.238928i | |||||
−38.4891 | − | 27.9639i | −2.49488 | − | 1.81263i | |||||
1.21932 | − | 0.885887i | 0.0788712 | − | 0.0573033i | −0.547651 | − | 0.836707i | ||
0.626522 | + | 0.779404i | ||||||||
0 | 0 | |||||||||
−7.09571 | −0.457075 | −0.228537 | − | 0.973535i | ||||||
−0.228537 | + | 0.973535i | ||||||||
−4.97573 | + | 22.6311i | −0.319852 | + | 1.45478i | |||||
1.00000 | 0.0641500 | |||||||||
−6.18607 | + | 19.0388i | −0.396022 | + | 1.21883i | |||||
0 | 0 | |||||||||
−1.58928 | − | 1.15468i | −0.101329 | − | 0.0736198i | |||||
0.886246 | + | 2.72758i | 0.0563905 | + | 0.173552i | |||||
0.312252 | + | 0.961014i | 0.0198280 | + | 0.0610244i | |||||
4.91927 | + | 3.57406i | 0.311746 | + | 0.226497i | |||||
0 | 0 | |||||||||
−4.22692 | + | 13.0091i | −0.266801 | + | 0.821129i | 0.724472 | + | 0.689304i | ||
−0.991273 | + | 0.131825i | ||||||||
8.08315 | 0.509191 | |||||||||
19.5125 | − | 0.954333i | 1.22674 | − | 0.0599984i | |||||
14.1250 | 0.886279 | |||||||||
0 | 0 | |||||||||
−5.59047 | + | 4.06172i | −0.349405 | + | 0.253857i | |||||
−6.71817 | − | 4.88104i | −0.419068 | − | 0.304471i | 0.358195 | − | 0.933647i | ||
−0.777263 | + | 0.629176i | ||||||||
−0.359446 | − | 1.10626i | −0.0223781 | − | 0.0688727i | |||||
−11.8250 | − | 36.3937i | −0.734773 | − | 2.26140i | |||||
0 | 0 | |||||||||
0.908175 | − | 0.659827i | 0.0562146 | − | 0.0408423i | |||||
5.25789 | − | 16.1821i | 0.324834 | − | 0.999735i | |||||
−11.1345 | −0.686582 | −0.343291 | − | 0.939229i | ||||||
−0.343291 | + | 0.939229i | ||||||||
−0.801187 | + | 2.94887i | −0.0493096 | + | 0.181490i | |||||
0 | 0 | |||||||||
2.47759 | − | 7.62522i | 0.151910 | − | 0.467532i | |||||
−10.1895 | + | 7.40313i | −0.623589 | + | 0.453064i | |||||
8.19157 | + | 5.95153i | 0.500380 | + | 0.363547i | |||||
7.03209 | + | 21.6426i | 0.428754 | + | 1.31957i | 0.899353 | + | 0.437223i | ||
−0.470599 | + | 0.882347i | ||||||||
0 | 0 | |||||||||
−6.30586 | − | 4.58148i | −0.383054 | − | 0.278305i | 0.379549 | − | 0.925172i | ||
−0.762603 | + | 0.646867i | ||||||||
−16.1647 | + | 11.7443i | −0.980128 | + | 0.712105i | |||||
−2.56086 | + | 7.88152i | −0.154990 | + | 0.477011i | |||||
13.5613 | 0.819269 | |||||||||
0 | 0 | |||||||||
14.3568 | 0.864179 | |||||||||
−2.92552 | + | 9.00383i | −0.175778 | + | 0.540988i | −0.999668 | − | 0.0257612i | ||
0.823891 | + | 0.566749i | ||||||||
11.8880 | − | 8.63711i | 0.712992 | − | 0.518019i | |||||
0.887273 | + | 0.644641i | 0.0531196 | + | 0.0385937i | |||||
0 | 0 | |||||||||
9.67271 | + | 29.7696i | 0.577026 | + | 1.77590i | 0.629175 | + | 0.777263i | ||
−0.0521495 | + | 0.998639i | ||||||||
−3.63723 | − | 2.64260i | −0.216594 | − | 0.157365i | |||||
−19.7500 | + | 14.3492i | −1.17402 | + | 0.852972i | −0.991484 | − | 0.130228i | ||
−0.182531 | + | 0.983200i | ||||||||
9.44055 | − | 29.0550i | 0.560194 | − | 1.72410i | |||||
0 | 0 | |||||||||
−14.6086 | − | 9.55960i | −0.863826 | − | 0.565271i | |||||
−3.09270 | −0.182556 | |||||||||
2.47926 | − | 7.63038i | 0.146092 | − | 0.449624i | |||||
−23.7678 | + | 17.2684i | −1.39811 | + | 1.01579i | |||||
0 | 0 | |||||||||
−0.886486 | − | 2.72832i | −0.0519667 | − | 0.159937i | |||||
−4.32152 | − | 13.3003i | −0.252898 | − | 0.778340i | |||||
9.56230 | + | 6.94742i | 0.558636 | + | 0.405873i | 0.830959 | − | 0.556333i | ||
−0.272324 | + | 0.962206i | ||||||||
6.81343 | − | 4.95025i | 0.397367 | − | 0.288704i | |||||
0 | 0 | |||||||||
10.6313 | 0.617933 | |||||||||
1.17776 | + | 3.10047i | 0.0683405 | + | 0.179907i | |||||
40.0669 | 2.32101 | |||||||||
−4.54845 | + | 13.9987i | −0.263044 | + | 0.809565i | |||||
0 | 0 | |||||||||
−1.48150 | − | 1.07637i | −0.0853923 | − | 0.0620412i | |||||
−2.53922 | − | 7.81492i | −0.146116 | − | 0.449698i | |||||
3.05000 | + | 9.38694i | 0.175218 | + | 0.539266i | |||||
−2.72417 | − | 1.97922i | −0.156242 | − | 0.113516i | |||||
0 | 0 | |||||||||
4.43307 | − | 13.6436i | 0.253422 | − | 0.779952i | |||||
−22.3217 | −1.27396 | −0.636982 | − | 0.770878i | ||||||
−0.636982 | + | 0.770878i | ||||||||
9.52000 | + | 25.0615i | 0.542453 | + | 1.42801i | |||||
7.71953 | 0.439149 | |||||||||
0 | 0 | |||||||||
15.7624 | − | 11.4521i | 0.893804 | − | 0.649386i | −0.0430633 | − | 0.999072i | ||
0.936867 | + | 0.349686i | ||||||||
−1.86264 | − | 1.35328i | −0.105451 | − | 0.0766146i | |||||
−5.36228 | − | 16.5034i | −0.303094 | − | 0.932827i | −0.980382 | − | 0.197109i | ||
0.677288 | − | 0.735718i | ||||||||
11.9672 | + | 36.8312i | 0.675348 | + | 2.07851i | |||||
0 | 0 | |||||||||
7.62634 | − | 5.54086i | 0.429015 | − | 0.311698i | |||||
−0.256706 | + | 0.790059i | −0.0144180 | + | 0.0443741i | −0.958007 | − | 0.286746i | ||
0.943589 | + | 0.331120i | ||||||||
−24.5105 | −1.37448 | |||||||||
3.11538 | + | 2.03865i | 0.174428 | + | 0.114142i | |||||
0 | 0 | |||||||||
−4.79328 | + | 14.7522i | −0.267535 | + | 0.823388i | |||||
33.2899 | − | 24.1865i | 1.85518 | − | 1.34786i | |||||
−6.32328 | − | 4.59413i | −0.351837 | − | 0.255624i | |||||
0.753192 | + | 2.31809i | 0.0418440 | + | 0.128783i | |||||
0 | 0 | |||||||||
−29.9462 | − | 21.7572i | −1.65857 | − | 1.20502i | |||||
−5.49997 | + | 3.99596i | −0.304149 | + | 0.220977i | |||||
0.265513 | − | 0.817166i | 0.0146605 | − | 0.0451205i | |||||
−7.07794 | −0.390220 | |||||||||
0 | 0 | |||||||||
−31.5311 | −1.73311 | −0.866554 | − | 0.499084i | ||||||
−0.866554 | + | 0.499084i | ||||||||
−4.57982 | + | 14.0953i | −0.251351 | + | 0.773577i | |||||
9.33514 | − | 6.78238i | 0.511563 | − | 0.371672i | |||||
−20.5828 | − | 14.9543i | −1.12624 | − | 0.818261i | |||||
0 | 0 | |||||||||
−3.00670 | − | 9.25367i | −0.164029 | − | 0.504829i | |||||
−13.1335 | − | 9.54207i | −0.715429 | − | 0.519790i | 0.169491 | − | 0.985532i | ||
−0.884921 | + | 0.465742i | ||||||||
−11.5129 | + | 8.36458i | −0.626217 | + | 0.454973i | |||||
−0.0931652 | + | 0.286733i | −0.00506004 | + | 0.0155732i | |||||
0 | 0 | |||||||||
−0.953695 | + | 3.51019i | −0.0516455 | + | 0.190087i | |||||
2.41763 | 0.130730 | |||||||||
−3.07643 | + | 9.46829i | −0.166112 | + | 0.511239i | |||||
0.411594 | − | 0.299040i | 0.0221916 | − | 0.0161232i | |||||
0 | 0 | |||||||||
15.7813 | + | 48.5698i | 0.848408 | + | 2.61113i | |||||
3.84726 | + | 11.8406i | 0.206532 | + | 0.635639i | 0.999647 | + | 0.0265674i | ||
−0.793115 | + | 0.609071i | ||||||||
2.21357 | + | 1.60825i | 0.118660 | + | 0.0862113i | |||||
−26.3980 | + | 19.1793i | −1.41305 | + | 1.02664i | −0.420182 | + | 0.907440i | ||
−0.992870 | + | 0.119203i | ||||||||
0 | 0 | |||||||||
−2.49889 | −0.133381 | |||||||||
26.5777 | − | 1.29989i | 1.41660 | − | 0.0692842i | |||||
15.7921 | 0.840530 | 0.420265 | − | 0.907402i | ||||||
0.420265 | + | 0.907402i | ||||||||
−5.46690 | + | 16.8254i | −0.290562 | + | 0.894259i | |||||
0 | 0 | |||||||||
−24.8358 | − | 18.0443i | −1.31629 | − | 0.956343i | |||||
−6.97909 | − | 21.4794i | −0.369373 | − | 1.13681i | |||||
12.9792 | + | 39.9460i | 0.685974 | + | 2.11121i | |||||
−14.6935 | − | 10.6755i | −0.775494 | − | 0.563429i | 0.128129 | − | 0.991757i | ||
−0.903623 | + | 0.428328i | ||||||||
0 | 0 | |||||||||
−5.46429 | + | 16.8173i | −0.287594 | + | 0.885123i | |||||
10.8125 | 0.568292 | |||||||||
−8.22577 | + | 7.30320i | −0.431741 | + | 0.383319i | |||||
−20.1989 | −1.05871 | |||||||||
0 | 0 | |||||||||
−13.9968 | + | 10.1693i | −0.731626 | + | 0.531558i | |||||
−0.381893 | − | 0.277462i | −0.0199347 | − | 0.0144834i | 0.577773 | − | 0.816197i | ||
−0.597708 | + | 0.801714i | ||||||||
−5.34032 | − | 16.4358i | −0.278383 | − | 0.856776i | |||||
−0.288179 | − | 0.886924i | −0.0150020 | − | 0.0461714i | |||||
0 | 0 | |||||||||
−31.2179 | + | 22.6811i | −1.62075 | + | 1.17755i | |||||
−0.826048 | + | 2.54231i | −0.0428286 | + | 0.131813i | |||||
−15.4102 | −0.797910 | −0.398955 | − | 0.916970i | ||||||
−0.398955 | + | 0.916970i | ||||||||
47.5226 | − | 2.32428i | 2.45733 | − | 0.120186i | |||||
0 | 0 | |||||||||
0.607653 | − | 1.87017i | 0.0313373 | − | 0.0964464i | |||||
−2.26942 | + | 1.64883i | −0.116881 | + | 0.0849192i | |||||
5.65169 | + | 4.10619i | 0.290692 | + | 0.211200i | |||||
−5.95617 | − | 18.3312i | −0.305948 | − | 0.941611i | −0.979322 | − | 0.202309i | ||
0.673374 | − | 0.739302i | ||||||||
0 | 0 | |||||||||
5.42477 | + | 3.94133i | 0.277920 | + | 0.201920i | |||||
−4.79454 | + | 3.48344i | −0.245310 | + | 0.178228i | |||||
2.30163 | − | 7.08369i | 0.117608 | − | 0.361960i | −0.874874 | − | 0.484350i | ||
0.992482 | + | 0.122390i | ||||||||
7.19453 | 0.367144 | |||||||||
0 | 0 | |||||||||
40.6624 | 2.06966 | |||||||||
0.170636 | − | 0.525162i | 0.00867390 | − | 0.0266955i | |||||
5.65680 | − | 4.10990i | 0.287180 | − | 0.208649i | |||||
0.577492 | + | 0.419572i | 0.0292800 | + | 0.0212732i | 0.602329 | − | 0.798248i | ||
−0.573049 | + | 0.819521i | ||||||||
0 | 0 | |||||||||
−12.3958 | − | 38.1505i | −0.626885 | − | 1.92935i | |||||
2.98007 | + | 2.16515i | 0.150516 | + | 0.109356i | |||||
6.53467 | − | 4.74771i | 0.329630 | − | 0.239490i | |||||
−2.33010 | + | 7.17132i | −0.117389 | + | 0.361286i | |||||
0 | 0 | |||||||||
−6.30007 | + | 5.06539i | −0.316590 | + | 0.254546i | |||||
0.764171 | 0.0383526 | 0.0191763 | − | 0.999816i | ||||||
0.0191763 | + | 0.999816i | ||||||||
−8.27267 | + | 25.4607i | −0.414672 | + | 1.27623i | |||||
3.07922 | − | 2.23718i | 0.154154 | − | 0.111999i | |||||
0 | 0 | |||||||||
−4.86839 | − | 14.9834i | −0.243116 | − | 0.748234i | −0.995941 | − | 0.0900128i | ||
0.752825 | − | 0.658221i | ||||||||
2.70416 | + | 8.32254i | 0.134871 | + | 0.415091i | |||||
−2.21719 | − | 1.61089i | −0.110446 | − | 0.0802439i | |||||
−19.4625 | + | 14.1403i | −0.968296 | + | 0.703508i | |||||
0 | 0 | |||||||||
7.84210 | 0.389197 | |||||||||
32.0231 | + | 20.9553i | 1.58732 | + | 1.03871i | |||||
6.27456 | 0.310637 | |||||||||
−0.809935 | + | 2.49272i | −0.0400487 | + | 0.123257i | −0.969082 | − | 0.246739i | ||
0.929033 | + | 0.369996i | ||||||||
0 | 0 | |||||||||
5.20830 | + | 3.78405i | 0.256907 | + | 0.186654i | |||||
5.81429 | + | 17.8945i | 0.286450 | + | 0.881601i | |||||
8.60666 | + | 26.4886i | 0.423506 | + | 1.30342i | |||||
10.0382 | + | 7.29318i | 0.493350 | + | 0.358440i | |||||
0 | 0 | |||||||||
−6.19539 | + | 19.0674i | −0.303754 | + | 0.934858i | |||||
6.97567 | 0.341600 | |||||||||
2.84738 | + | 7.49576i | 0.139270 | + | 0.366630i | |||||
−18.0078 | −0.879737 | −0.439868 | − | 0.898062i | ||||||
−0.439868 | + | 0.898062i | ||||||||
0 | 0 | |||||||||
−0.947495 | + | 0.688395i | −0.0461781 | + | 0.0335503i | −0.610635 | − | 0.791912i | ||
0.564457 | + | 0.825463i | ||||||||
−5.95650 | − | 4.32765i | −0.289958 | − | 0.210667i | |||||
−0.659526 | − | 2.02981i | −0.0320673 | − | 0.0986929i | |||||
−3.31280 | − | 10.1957i | −0.160884 | − | 0.495149i | |||||
0 | 0 | |||||||||
21.3606 | − | 15.5193i | 1.03492 | − | 0.751915i | |||||
−8.41683 | + | 25.9043i | −0.407319 | + | 1.25360i | |||||
−37.8072 | −1.82748 | |||||||||
−2.94308 | − | 7.74771i | −0.142093 | − | 0.374063i | |||||
0 | 0 | |||||||||
10.8441 | − | 33.3746i | 0.522340 | − | 1.60760i | −0.247177 | − | 0.968970i | ||
0.769517 | − | 0.638626i | ||||||||
2.37360 | − | 1.72452i | 0.114200 | − | 0.0829712i | |||||
14.7452 | + | 10.7130i | 0.708608 | + | 0.514834i | 0.882724 | − | 0.469891i | ||
−0.174116 | + | 0.984725i | ||||||||
2.36757 | + | 7.28663i | 0.113647 | + | 0.349769i | |||||
0 | 0 | |||||||||
−13.4055 | − | 9.73969i | −0.642009 | − | 0.466446i | |||||
5.46912 | − | 3.97355i | 0.261624 | − | 0.190081i | |||||
3.73488 | − | 11.4948i | 0.178460 | − | 0.549242i | |||||
−19.8155 | −0.945743 | −0.472871 | − | 0.881131i | ||||||
−0.472871 | + | 0.881131i | ||||||||
0 | 0 | |||||||||
3.99802 | 0.190382 | |||||||||
−11.0777 | + | 34.0938i | −0.526914 | + | 1.62168i | |||||
−13.5012 | + | 9.80922i | −0.641463 | + | 0.466050i | −0.860352 | − | 0.509700i | ||
0.218890 | + | 0.975750i | ||||||||
22.7533 | + | 16.5312i | 1.07982 | + | 0.784538i | |||||
0 | 0 | |||||||||
3.38856 | + | 10.4289i | 0.160453 | + | 0.493823i | |||||
15.3879 | + | 11.1800i | 0.727823 | + | 0.528794i | |||||
29.6005 | − | 21.5061i | 1.39849 | − | 1.01607i | |||||
−4.07811 | + | 12.5511i | −0.192458 | + | 0.592325i | 0.807539 | + | 0.589815i | ||
−0.999997 | + | 0.00251063i | ||||||||
0 | 0 | |||||||||
2.41047 | − | 1.93807i | 0.113505 | − | 0.0912603i | |||||
−0.734843 | −0.0345641 | |||||||||
1.20542 | − | 3.70989i | 0.0566354 | − | 0.174306i | |||||
−16.5349 | + | 12.0133i | −0.776022 | + | 0.563813i | |||||
0 | 0 | |||||||||
0.326762 | + | 1.00567i | 0.0153020 | + | 0.0470948i | |||||
6.57194 | + | 20.2264i | 0.307423 | + | 0.946149i | 0.978762 | + | 0.204999i | ||
−0.671340 | + | 0.741150i | ||||||||
31.5296 | + | 22.9076i | 1.47328 | + | 1.07040i | |||||
5.50956 | − | 4.00293i | 0.257164 | − | 0.186841i | |||||
0 | 0 | |||||||||
−20.0772 | −0.935086 | −0.467543 | − | 0.883970i | ||||||
−0.467543 | + | 0.883970i | ||||||||
−6.07478 | + | 22.3590i | −0.282624 | + | 1.04023i | |||||
−0.962526 | −0.0447324 | −0.0223662 | − | 0.999750i | ||||||
−0.0223662 | + | 0.999750i | ||||||||
1.01776 | − | 3.13234i | 0.0472482 | − | 0.145415i | |||||
0 | 0 | |||||||||
25.4852 | + | 18.5161i | 1.18058 | + | 0.857742i | |||||
−4.60838 | − | 14.1831i | −0.213250 | − | 0.656317i | −0.999273 | − | 0.0381194i | ||
0.786023 | − | 0.618197i | ||||||||
−1.88214 | − | 5.79264i | −0.0870020 | − | 0.267765i | |||||
11.1455 | + | 8.09771i | 0.514653 | + | 0.373917i | |||||
0 | 0 | |||||||||
−5.68106 | + | 17.4845i | −0.261769 | + | 0.805643i | |||||
−7.73783 | −0.356162 | |||||||||
1.82922 | − | 0.0894649i | 0.0841074 | − | 0.00411360i | |||||
8.14701 | 0.374204 | |||||||||
0 | 0 | |||||||||
44.5346 | − | 32.3563i | 2.04124 | − | 1.48305i | |||||
−9.41340 | − | 6.83923i | −0.431010 | − | 0.313147i | |||||
0.981082 | + | 3.01946i | 0.0448737 | + | 0.138107i | |||||
−0.146946 | − | 0.452253i | −0.00671413 | − | 0.0206640i | 0.947643 | − | 0.319331i | ||
−0.954357 | + | 0.298667i | ||||||||
0 | 0 | |||||||||
−23.3274 | + | 16.9484i | −1.06364 | + | 0.772780i | |||||
4.61893 | − | 14.2156i | 0.210387 | − | 0.647503i | |||||
19.5340 | 0.888829 | |||||||||
−23.1250 | − | 13.5673i | −1.05114 | − | 0.616697i | |||||
0 | 0 | |||||||||
−0.650947 | + | 2.00341i | −0.0295276 | + | 0.0908765i | |||||
28.6011 | − | 20.7799i | 1.29604 | − | 0.941629i | 0.296132 | − | 0.955147i | ||
0.999909 | + | 0.0135183i | ||||||||
−6.12196 | − | 4.44786i | −0.277128 | − | 0.201345i | |||||
−5.43005 | − | 16.7120i | −0.245555 | − | 0.755741i | |||||
0 | 0 | |||||||||
24.3779 | + | 17.7116i | 1.10016 | + | 0.799314i | 0.981086 | − | 0.193572i | ||
0.119075 | + | 0.992885i | ||||||||
1.83891 | − | 1.33605i | 0.0829047 | − | 0.0602338i | |||||
2.36240 | − | 7.27072i | 0.106397 | − | 0.327457i | |||||
−6.04137 | −0.271814 | |||||||||
0 | 0 | |||||||||
3.21773 | 0.144480 | |||||||||
12.8449 | − | 39.5326i | 0.576173 | − | 1.77328i | |||||
−10.3625 | + | 7.52879i | −0.464354 | + | 0.337373i | |||||
29.5127 | + | 21.4422i | 1.32117 | + | 0.959887i | 0.999917 | + | 0.0128935i | ||
0.321254 | + | 0.946993i | ||||||||
0 | 0 | |||||||||
−3.73220 | − | 11.4865i | −0.166743 | − | 0.513181i | |||||
−23.3111 | − | 16.9365i | −1.04043 | − | 0.755914i | |||||
−12.4792 | + | 9.06666i | −0.556420 | + | 0.404262i | −0.830147 | − | 0.557545i | ||
0.273727 | + | 0.961807i | ||||||||
−0.944199 | + | 2.90595i | −0.0420580 | + | 0.129441i | |||||
0 | 0 | |||||||||
−10.7897 | + | 39.7127i | −0.479659 | + | 1.76544i | |||||
−6.75557 | −0.300025 | |||||||||
−5.05045 | + | 15.5437i | −0.224077 | + | 0.689639i | |||||
−10.2238 | + | 7.42806i | −0.453164 | + | 0.329243i | −0.790844 | − | 0.612018i | ||
0.337680 | + | 0.941261i | ||||||||
0 | 0 | |||||||||
−5.87991 | − | 18.0965i | −0.260112 | − | 0.800542i | |||||
−8.94464 | − | 27.5288i | −0.395301 | − | 1.21661i | |||||
0.928503 | + | 0.674597i | 0.0409944 | + | 0.0297842i | |||||
14.1519 | − | 10.2819i | 0.624213 | − | 0.453517i | |||||
0 | 0 | |||||||||
1.34589 | 0.0592497 | |||||||||
5.51660 | − | 4.43547i | 0.242620 | − | 0.195072i | |||||
80.6091 | 3.54176 | |||||||||
−7.49168 | + | 23.0570i | −0.328848 | + | 1.01209i | |||||
0 | 0 | |||||||||
7.43033 | + | 5.39845i | 0.325529 | + | 0.236510i | 0.738531 | − | 0.674220i | ||
−0.413002 | + | 0.910730i | ||||||||
0.730731 | + | 2.24896i | 0.0319832 | + | 0.0984342i | |||||
10.3781 | + | 31.9404i | 0.453801 | + | 1.39665i | 0.872537 | + | 0.488547i | ||
−0.418737 | + | 0.908108i | ||||||||
15.9275 | + | 11.5720i | 0.695795 | + | 0.505525i | |||||
0 | 0 | |||||||||
7.24796 | − | 22.3069i | 0.316026 | − | 0.972629i | |||||
7.46893 | 0.325352 | |||||||||
8.14236 | + | 5.32820i | 0.354351 | + | 0.231880i | |||||
11.6952 | 0.508486 | |||||||||
0 | 0 | |||||||||
−6.79443 | + | 4.93644i | −0.294853 | + | 0.214223i | |||||
7.50523 | + | 5.45287i | 0.325393 | + | 0.236412i | |||||
0.720127 | + | 2.21632i | 0.0311922 | + | 0.0959996i | |||||
−8.19865 | − | 25.2329i | −0.354790 | − | 1.09193i | |||||
0 | 0 | |||||||||
−3.09648 | + | 2.24972i | −0.133747 | + | 0.0971731i | |||||
−6.16149 | + | 18.9631i | −0.265888 | + | 0.818319i | |||||
−47.9364 | −2.06669 | |||||||||
4.70870 | + | 12.3957i | 0.202818 | + | 0.533921i | |||||
0 | 0 | |||||||||
13.7829 | − | 42.4194i | 0.592573 | − | 1.82375i | 0.0261178 | − | 0.999659i | ||
0.566455 | − | 0.824093i | ||||||||
13.2834 | − | 9.65093i | 0.570569 | − | 0.414543i | |||||
4.15260 | + | 3.01704i | 0.178205 | + | 0.129474i | |||||
−16.8842 | − | 51.9643i | −0.723906 | − | 2.22795i | |||||
0 | 0 | |||||||||
−14.1229 | − | 10.2609i | −0.604405 | − | 0.439126i | |||||
−15.5582 | + | 11.3037i | −0.665219 | + | 0.483310i | −0.868421 | − | 0.495827i | ||
0.203202 | + | 0.979137i | ||||||||
−4.84891 | + | 14.9234i | −0.207135 | + | 0.637497i | |||||
−8.21313 | −0.350528 | |||||||||
0 | 0 | |||||||||
1.28836 | 0.0548860 | |||||||||
−1.67703 | + | 5.16137i | −0.0713791 | + | 0.219682i | |||||
10.3765 | − | 7.53895i | 0.441252 | − | 0.320589i | |||||
−16.1340 | − | 11.7220i | −0.685468 | − | 0.498022i | |||||
0 | 0 | |||||||||
5.25402 | + | 16.1702i | 0.222820 | + | 0.685770i | |||||
26.9944 | + | 19.6126i | 1.14379 | + | 0.831011i | 0.987643 | − | 0.156723i | ||
0.156145 | + | 0.987734i | ||||||||
−1.86905 | + | 1.35794i | −0.0791231 | + | 0.0574863i | |||||
−0.426399 | + | 1.31232i | −0.0180348 | + | 0.0555053i | |||||
0 | 0 | |||||||||
18.8999 | + | 12.3677i | 0.797953 | + | 0.522165i | |||||
−65.9370 | −2.78139 | |||||||||
−0.646509 | + | 1.98975i | −0.0272471 | + | 0.0838580i | −0.963755 | − | 0.266788i | ||
0.936508 | + | 0.350646i | ||||||||
4.20853 | − | 3.05768i | 0.177211 | − | 0.128752i | |||||
0 | 0 | |||||||||
−15.8911 | − | 48.9079i | −0.667955 | − | 2.05575i | |||||
1.02480 | + | 3.15401i | 0.0430376 | + | 0.132456i | |||||
9.34271 | + | 6.78788i | 0.392011 | + | 0.284813i | |||||
7.53693 | − | 5.47590i | 0.315964 | − | 0.229562i | −0.418487 | − | 0.908223i | ||
0.734452 | + | 0.678661i | ||||||||
0 | 0 | |||||||||
2.32989 | 0.0975029 | 0.0487514 | − | 0.998811i | ||||||
0.0487514 | + | 0.998811i | ||||||||
15.7432 | − | 12.6578i | 0.658254 | − | 0.529251i | |||||
−2.81336 | −0.117530 | |||||||||
2.01318 | − | 6.19594i | 0.0840286 | − | 0.258614i | |||||
0 | 0 | |||||||||
8.92570 | + | 6.48490i | 0.371904 | + | 0.270204i | |||||
9.10449 | + | 28.0207i | 0.379025 | + | 1.16652i | 0.940723 | + | 0.339176i | ||
−0.561698 | + | 0.827342i | ||||||||
−19.1240 | − | 58.8575i | −0.795452 | − | 2.44815i | |||||
15.6166 | + | 11.3461i | 0.649005 | + | 0.471530i | |||||
0 | 0 | |||||||||
−6.23136 | + | 19.1781i | −0.258520 | + | 0.795643i | |||||
6.04300 | 0.250491 | |||||||||
10.1181 | − | 37.2409i | 0.419049 | − | 1.54236i | |||||
5.28634 | 0.218750 | |||||||||
0 | 0 | |||||||||
−20.1431 | + | 14.6348i | −0.832103 | + | 0.604558i | |||||
−33.5877 | − | 24.4029i | −1.38631 | − | 1.00722i | −0.996258 | − | 0.0864248i | ||
−0.390056 | − | 0.920791i | ||||||||
3.01128 | + | 9.26776i | 0.124183 | + | 0.382196i | |||||
0.388962 | + | 1.19710i | 0.0160269 | + | 0.0493258i | |||||
0 | 0 | |||||||||
−2.89592 | + | 2.10401i | −0.119122 | + | 0.0865475i | |||||
10.4615 | − | 32.1973i | 0.429967 | − | 1.32330i | |||||
9.36964 | 0.384765 | 0.192383 | − | 0.981320i | ||||||
0.192383 | + | 0.981320i | ||||||||
−6.97816 | + | 0.341294i | −0.286317 | + | 0.0140035i | |||||
0 | 0 | |||||||||
−14.3261 | + | 44.0912i | −0.586820 | + | 1.80605i | |||||
−10.2815 | + | 7.46997i | −0.420795 | + | 0.305725i | |||||
−25.0843 | − | 18.2248i | −1.02577 | − | 0.745268i | |||||
0.406983 | + | 1.25256i | 0.0166289 | + | 0.0511784i | 0.959027 | − | 0.283316i | ||
−0.942398 | + | 0.334494i | ||||||||
0 | 0 | |||||||||
−12.6422 | − | 9.18512i | −0.515688 | − | 0.374669i | 0.299289 | − | 0.954162i | ||
−0.814977 | + | 0.579493i | ||||||||
3.12080 | − | 2.26739i | 0.127194 | − | 0.0924120i | |||||
−1.28371 | + | 3.95087i | −0.0522769 | + | 0.160892i | |||||
9.50777 | 0.386866 | |||||||||
0 | 0 | |||||||||
−20.7913 | −0.844588 | |||||||||
−7.48201 | + | 23.0273i | −0.303685 | + | 0.934647i | 0.676479 | + | 0.736462i | ||
−0.980165 | + | 0.198186i | ||||||||
7.44943 | − | 5.41233i | 0.302114 | − | 0.219499i | |||||
3.01180 | + | 2.18820i | 0.122044 | + | 0.0886705i | |||||
0 | 0 | |||||||||
1.64808 | + | 5.07227i | 0.0666742 | + | 0.205202i | |||||
13.4289 | + | 9.75666i | 0.542831 | + | 0.394390i | |||||
3.30589 | − | 2.40187i | 0.133524 | − | 0.0970105i | −0.519019 | − | 0.854763i | ||
0.652542 | + | 0.757752i | ||||||||
14.5302 | − | 44.7194i | 0.586392 | − | 1.80473i | |||||
0 | 0 | |||||||||
−10.1218 | + | 0.495047i | −0.407820 | + | 0.0199460i | |||||
−16.9835 | −0.683731 | −0.341866 | − | 0.939749i | ||||||
−0.341866 | + | 0.939749i | ||||||||
−5.02501 | + | 15.4654i | −0.202135 | + | 0.622109i | |||||
25.9942 | − | 18.8859i | 1.04480 | − | 0.759089i | 0.0735802 | − | 0.997289i | ||
0.971216 | + | 0.238200i | ||||||||
0 | 0 | |||||||||
1.82019 | + | 5.60197i | 0.0730417 | + | 0.224799i | |||||
12.6827 | + | 39.0332i | 0.508528 | + | 1.56509i | |||||
−33.7918 | − | 24.5512i | −1.35384 | − | 0.983623i | |||||
−5.93136 | + | 4.30939i | −0.237444 | + | 0.172514i | |||||
0 | 0 | |||||||||
36.5536 | 1.46098 | |||||||||
−0.998011 | + | 3.67330i | −0.0398567 | + | 0.146698i | |||||
−44.8095 | −1.78809 | |||||||||
24.2831 | − | 74.7358i | 0.968232 | − | 2.97991i | |||||
0 | 0 | |||||||||
5.10947 | + | 3.71225i | 0.203405 | + | 0.147782i | 0.684825 | − | 0.728708i | ||
−0.481420 | + | 0.876490i | ||||||||
1.10114 | + | 3.38895i | 0.0438008 | + | 0.134805i | |||||
−1.08007 | − | 3.32412i | −0.0429290 | − | 0.132122i | |||||
−1.41571 | − | 1.02857i | −0.0562250 | − | 0.0408499i | |||||
0 | 0 | |||||||||
8.76384 | − | 26.9723i | 0.347509 | − | 1.06952i | |||||
−9.99059 | −0.395842 | |||||||||
−6.11219 | + | 4.91434i | −0.241984 | + | 0.194560i | |||||
12.5340 | 0.495839 | |||||||||
0 | 0 | |||||||||
−11.8814 | + | 8.63236i | −0.469288 | + | 0.340958i | −0.797164 | − | 0.603763i | ||
0.327876 | + | 0.944721i | ||||||||
−26.4345 | − | 19.2058i | −1.04329 | − | 0.757993i | |||||
4.99093 | + | 15.3605i | 0.196823 | + | 0.605759i | 0.999950 | + | 0.00995196i | ||
−0.803127 | + | 0.595807i | ||||||||
14.7129 | + | 45.2816i | 0.579769 | + | 1.78434i | |||||
0 | 0 | |||||||||
13.3200 | − | 9.67758i | 0.524070 | − | 0.380759i | |||||
−8.58676 | + | 26.4273i | −0.337581 | + | 1.03897i | 0.627856 | + | 0.778329i | ||
−0.965437 | + | 0.260637i | ||||||||
−0.921348 | −0.0361940 | |||||||||
−23.3075 | − | 15.2519i | −0.914898 | − | 0.598691i | |||||
0 | 0 | |||||||||
−1.12393 | + | 3.45910i | −0.0440503 | + | 0.135573i | |||||
34.6499 | − | 25.1747i | 1.35700 | − | 0.985916i | |||||
−27.5595 | − | 20.0232i | −1.07849 | − | 0.783568i | −0.101070 | − | 0.994879i | ||
−0.977419 | + | 0.211312i | ||||||||
−4.42536 | − | 13.6199i | −0.173045 | − | 0.532579i | |||||
0 | 0 | |||||||||
−2.21354 | − | 1.60823i | −0.0864244 | − | 0.0627910i | |||||
4.64182 | − | 3.37248i | 0.181095 | − | 0.131573i | |||||
4.60737 | − | 14.1800i | 0.179614 | − | 0.552795i | |||||
14.4196 | 0.561709 | 0.280855 | − | 0.959750i | ||||||
0.280855 | + | 0.959750i | ||||||||
0 | 0 | |||||||||
26.4275 | 1.02791 | 0.513956 | − | 0.857817i | ||||||
0.513956 | + | 0.857817i | ||||||||
20.5251 | − | 63.1697i | 0.797730 | − | 2.45516i | |||||
−13.7678 | + | 10.0029i | −0.534695 | + | 0.388479i | |||||
−4.53236 | − | 3.29295i | −0.175890 | − | 0.127791i | |||||
0 | 0 | |||||||||
7.51119 | + | 23.1171i | 0.291053 | + | 0.895769i | |||||
5.34939 | + | 3.88656i | 0.207129 | + | 0.150488i | |||||
23.8157 | − | 17.3032i | 0.921459 | − | 0.669479i | |||||
−1.60861 | + | 4.95080i | −0.0621925 | + | 0.191409i | |||||
0 | 0 | |||||||||
−9.67309 | − | 25.4645i | −0.373426 | − | 0.983047i | |||||
26.6071 | 1.02639 | |||||||||
−11.2213 | + | 34.5357i | −0.432550 | + | 1.33125i | 0.463026 | + | 0.886345i | ||
−0.895576 | + | 0.444908i | ||||||||
27.6659 | − | 20.1005i | 1.06565 | − | 0.774241i | |||||
0 | 0 | |||||||||
−5.08824 | − | 15.6600i | −0.195702 | − | 0.602308i | |||||
−3.50556 | − | 10.7890i | −0.134730 | − | 0.414655i | 0.860818 | − | 0.508913i | ||
−0.995548 | + | 0.0942574i | ||||||||
−0.513798 | − | 0.373296i | −0.0197323 | − | 0.0143363i | |||||
7.69669 | − | 5.59198i | 0.295372 | − | 0.214600i | |||||
0 | 0 | |||||||||
−9.70244 | −0.371798 | |||||||||
−6.41154 | − | 4.19559i | −0.245511 | − | 0.160657i | |||||
−39.4269 | −1.50863 | −0.754314 | − | 0.656514i | ||||||
−0.754314 | + | 0.656514i | ||||||||
−0.864433 | + | 2.66045i | −0.0330524 | + | 0.101725i | |||||
0 | 0 | |||||||||
−16.9663 | − | 12.3267i | −0.647775 | − | 0.470636i | |||||
5.71715 | + | 17.5956i | 0.218123 | + | 0.671313i | |||||
−0.500634 | − | 1.54079i | −0.0190865 | − | 0.0587421i | |||||
23.5230 | + | 17.0905i | 0.896155 | + | 0.651095i | |||||
0 | 0 | |||||||||
4.56613 | − | 14.0531i | 0.173704 | − | 0.534606i | −0.825868 | − | 0.563864i | ||
0.999572 | + | 0.0292578i | ||||||||
−59.0909 | −2.24630 | |||||||||
−8.57194 | + | 6.89203i | −0.325621 | + | 0.261806i | |||||
−26.2260 | −0.995526 | |||||||||
0 | 0 | |||||||||
−0.836745 | + | 0.607931i | −0.0317167 | + | 0.0230436i | |||||
−5.13804 | − | 3.73300i | −0.194617 | − | 0.141398i | |||||
−21.2402 | − | 65.3707i | −0.803954 | − | 2.47432i | |||||
4.62115 | + | 14.2224i | 0.174788 | + | 0.537942i | |||||
0 | 0 | |||||||||
5.76774 | − | 4.19051i | 0.217845 | − | 0.158273i | −0.473511 | − | 0.880788i | ||
0.691356 | + | 0.722514i | ||||||||
1.62664 | − | 5.00629i | 0.0613937 | − | 0.188950i | |||||
13.2431 | 0.499472 | |||||||||
−9.59389 | + | 35.3115i | −0.361583 | + | 1.33085i | |||||
0 | 0 | |||||||||
−10.2798 | + | 31.6381i | −0.386887 | + | 1.19071i | |||||
−26.4809 | + | 19.2395i | −0.995917 | + | 0.723576i | |||||
−16.5606 | − | 12.0320i | −0.622386 | − | 0.452190i | |||||
−1.65473 | − | 5.09274i | −0.0621447 | − | 0.191262i | 0.915164 | − | 0.403082i | ||
−0.977309 | + | 0.211820i | ||||||||
0 | 0 | |||||||||
3.12890 | + | 2.27328i | 0.117343 | + | 0.0852548i | |||||
9.38811 | − | 6.82086i | 0.351834 | − | 0.255623i | |||||
−1.99626 | + | 6.14385i | −0.0747604 | + | 0.230089i | |||||
47.5751 | 1.78045 | |||||||||
0 | 0 | |||||||||
−48.5989 | −1.81623 | |||||||||
−0.465738 | + | 1.43340i | −0.0173933 | + | 0.0535311i | |||||
30.9520 | − | 22.4880i | 1.15512 | − | 0.839243i | |||||
32.9940 | + | 23.9716i | 1.23047 | + | 0.893989i | 0.996925 | − | 0.0783569i | ||
0.233545 | + | 0.972346i | ||||||||
0 | 0 | |||||||||
7.91098 | + | 24.3475i | 0.294620 | + | 0.906749i | |||||
−30.1351 | − | 21.8944i | −1.12151 | − | 0.814825i | |||||
5.74055 | − | 4.17075i | 0.213493 | − | 0.155112i | |||||
−3.86606 | + | 11.8985i | −0.143681 | + | 0.442204i | |||||
0 | 0 | |||||||||
−9.27676 | − | 21.2336i | −0.344293 | − | 0.788052i | |||||
28.6101 | 1.06109 | 0.530546 | − | 0.847656i | ||||||
0.530546 | + | 0.847656i | ||||||||
2.35944 | − | 7.26162i | 0.0874468 | − | 0.269134i | |||||
−0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | |||||
0 | 0 | |||||||||
−1.16206 | − | 3.57646i | −0.0429804 | − | 0.132280i | |||||
−6.18607 | − | 19.0388i | −0.228644 | − | 0.703693i | |||||
3.55653 | + | 2.58397i | 0.131364 | + | 0.0954412i | 0.651527 | − | 0.758626i | ||
−0.520163 | + | 0.854067i | ||||||||
0.804462 | − | 0.584476i | 0.0296932 | − | 0.0215734i | |||||
0 | 0 | |||||||||
47.2579 | 1.74195 | |||||||||
−13.7614 | + | 0.673056i | −0.506909 | + | 0.0247924i | |||||
1.96446 | 0.0723129 | |||||||||
−3.25000 | + | 10.0025i | −0.119553 | + | 0.367947i | −0.992869 | − | 0.119207i | ||
0.873316 | + | 0.487154i | ||||||||
0 | 0 | |||||||||
−2.32022 | − | 1.68574i | −0.0852355 | − | 0.0619272i | |||||
−25.1184 | − | 77.3064i | −0.922125 | − | 2.83801i | |||||
10.6580 | + | 32.8020i | 0.391005 | + | 1.20339i | 0.932030 | + | 0.362382i | ||
−0.541025 | + | 0.841007i | ||||||||
−0.817487 | − | 0.593939i | −0.0299705 | − | 0.0217749i | |||||
0 | 0 | |||||||||
10.0312 | − | 30.8729i | 0.367269 | − | 1.13034i | |||||
−6.08055 | −0.222476 | |||||||||
−14.4342 | + | 53.1268i | −0.527766 | + | 1.94251i | |||||
−51.4408 | −1.87961 | |||||||||
0 | 0 | |||||||||
1.92630 | − | 1.39954i | 0.0702918 | − | 0.0510700i | −0.552084 | − | 0.833788i | ||
0.622376 | + | 0.782718i | ||||||||
−5.06591 | − | 3.68060i | −0.184735 | − | 0.134218i | |||||
−4.22692 | − | 13.0091i | −0.154038 | − | 0.474079i | |||||
−1.82601 | − | 5.61989i | −0.0664995 | − | 0.204664i | |||||
0 | 0 | |||||||||
−6.53941 | + | 4.75116i | −0.237836 | + | 0.172798i | |||||
2.59435 | − | 7.98459i | 0.0942932 | − | 0.290205i | −0.892776 | − | 0.450502i | ||
0.987069 | + | 0.160297i | ||||||||
40.6021 | 1.47473 | |||||||||
−15.2250 | + | 12.2412i | −0.552631 | + | 0.444328i | |||||
0 | 0 | |||||||||
3.23481 | − | 9.95573i | 0.117262 | − | 0.360895i | −0.875150 | − | 0.483851i | ||
0.992412 | + | 0.122956i | ||||||||
−11.4273 | + | 8.30245i | −0.413969 | + | 0.300766i | |||||
−18.2397 | − | 13.2519i | −0.660322 | − | 0.479752i | |||||
−2.11900 | − | 6.52162i | −0.0766628 | − | 0.235944i | |||||
0 | 0 | |||||||||
12.6933 | + | 9.22222i | 0.458627 | + | 0.333212i | |||||
16.9785 | − | 12.3356i | 0.613058 | − | 0.445413i | |||||
2.13537 | − | 6.57200i | 0.0770536 | − | 0.237146i | |||||
−9.70799 | −0.350079 | −0.175040 | − | 0.984561i | ||||||
−0.175040 | + | 0.984561i | ||||||||
0 | 0 | |||||||||
8.30411 | 0.299065 | |||||||||
−14.5390 | + | 44.7465i | −0.523271 | + | 1.61046i | |||||
25.8560 | − | 18.7855i | 0.929977 | − | 0.675668i | −0.0160101 | − | 0.999872i | ||
0.945987 | + | 0.324204i | ||||||||
0.941041 | + | 0.683706i | 0.0338250 | + | 0.0245753i | |||||
0 | 0 | |||||||||
0.816762 | + | 2.51374i | 0.0293201 | + | 0.0902378i | |||||
30.9584 | + | 22.4926i | 1.11063 | + | 0.806917i | |||||
−1.21649 | + | 0.883833i | −0.0436133 | + | 0.0316869i | |||||
0.330741 | − | 1.01792i | 0.0118500 | − | 0.0364706i | |||||
0 | 0 | |||||||||
14.7621 | + | 38.8614i | 0.528229 | + | 1.39057i | |||||
84.5001 | 3.02172 | |||||||||
−0.346892 | + | 1.06762i | −0.0123969 | + | 0.0381537i | |||||
9.48971 | − | 6.89468i | 0.338918 | − | 0.246239i | |||||
0 | 0 | |||||||||
5.25789 | + | 16.1821i | 0.187543 | + | 0.577197i | |||||
14.3605 | + | 44.1971i | 0.511896 | + | 1.57545i | 0.788859 | + | 0.614574i | ||
−0.276963 | + | 0.960881i | ||||||||
−7.05847 | − | 5.12828i | −0.251448 | − | 0.182687i | |||||
9.00799 | − | 6.54469i | 0.320693 | − | 0.232997i | |||||
0 | 0 | |||||||||
−0.999835 | −0.0355500 | |||||||||
−1.08513 | − | 2.85661i | −0.0385583 | − | 0.101505i | |||||
20.5237 | 0.728817 | |||||||||
−0.497435 | + | 1.53095i | −0.0176533 | + | 0.0543313i | |||||
0 | 0 | |||||||||
−25.0600 | − | 18.2072i | −0.888228 | − | 0.645336i | |||||
9.96126 | + | 30.6576i | 0.352846 | + | 1.08595i | 0.957248 | + | 0.289269i | ||
−0.604402 | + | 0.796680i | ||||||||
2.47759 | + | 7.62522i | 0.0877056 | + | 0.269930i | |||||
−11.7589 | − | 8.54334i | −0.416000 | − | 0.302242i | |||||
0 | 0 | |||||||||
3.89206 | − | 11.9785i | 0.137519 | − | 0.423240i | |||||
33.1869 | 1.17187 | |||||||||
15.9232 | + | 10.4198i | 0.561918 | + | 0.367708i | |||||
−10.1253 | −0.357093 | |||||||||
0 | 0 | |||||||||
4.67054 | − | 3.39334i | 0.164513 | − | 0.119525i | |||||
−18.4103 | − | 13.3758i | −0.648072 | − | 0.470852i | |||||
−2.81011 | − | 8.64864i | −0.0988595 | − | 0.304258i | |||||
6.55046 | + | 20.1603i | 0.230302 | + | 0.708797i | 0.997710 | + | 0.0676376i | ||
−0.767408 | + | 0.641159i | ||||||||
0 | 0 | |||||||||
19.0967 | − | 13.8746i | 0.670578 | − | 0.487203i | −0.199641 | − | 0.979869i | ||
0.870218 | + | 0.492666i | ||||||||
−2.80398 | + | 8.62976i | −0.0984004 | + | 0.302845i | |||||
7.79448 | 0.273364 | |||||||||
−62.8273 | + | 50.5145i | −2.20210 | + | 1.77053i | |||||
0 | 0 | |||||||||
6.17436 | − | 19.0027i | 0.216146 | − | 0.665228i | |||||
0.512709 | − | 0.372505i | 0.0179374 | − | 0.0130323i | |||||
−4.46672 | − | 3.24526i | −0.156175 | − | 0.113468i | |||||
−2.56086 | − | 7.88152i | −0.0894837 | − | 0.275403i | |||||
0 | 0 | |||||||||
36.0153 | + | 26.1667i | 1.25694 | + | 0.913223i | 0.998603 | − | 0.0528314i | ||
0.258340 | + | 0.966054i | ||||||||
−10.9713 | + | 7.97114i | −0.382669 | + | 0.278026i | |||||
0.0421588 | − | 0.129751i | 0.00146956 | − | 0.00452285i | −0.950319 | − | 0.311278i | ||
0.951789 | + | 0.306755i | ||||||||
−7.11238 | −0.247771 | |||||||||
0 | 0 | |||||||||
−58.6700 | −2.04139 | |||||||||
−3.63750 | + | 11.1951i | −0.126488 | + | 0.389291i | −0.994169 | − | 0.107830i | ||
0.867681 | + | 0.497121i | ||||||||
−11.6149 | + | 8.43872i | −0.403646 | + | 0.293266i | |||||
−8.92262 | − | 6.48266i | −0.309895 | − | 0.225152i | 0.421956 | − | 0.906616i | ||
−0.731852 | + | 0.681464i | ||||||||
0 | 0 | |||||||||
−2.92552 | − | 9.00383i | −0.101485 | − | 0.312339i | |||||
−22.3043 | − | 16.2050i | −0.773263 | − | 0.561808i | |||||
22.0273 | − | 16.0038i | 0.763202 | − | 0.554498i | |||||
−4.54080 | + | 13.9751i | −0.157235 | + | 0.483919i | |||||
0 | 0 | |||||||||
−9.26673 | + | 0.453226i | −0.320497 | + | 0.0156751i | |||||
−1.09673 | −0.0379085 | |||||||||
11.7221 | − | 36.0769i | 0.404933 | − | 1.24626i | |||||
8.56769 | − | 6.22479i | 0.295790 | − | 0.214904i | −0.429985 | − | 0.902836i | ||
0.725775 | + | 0.687932i | ||||||||
0 | 0 | |||||||||
−8.57208 | − | 26.3822i | −0.295589 | − | 0.909730i | |||||
−0.762368 | − | 2.34633i | −0.0262730 | − | 0.0808598i | |||||
−25.3235 | − | 18.3986i | −0.872188 | − | 0.633681i | |||||
6.89209 | − | 5.00740i | 0.237236 | − | 0.172362i | |||||
0 | 0 | |||||||||
4.49586 | 0.154571 | |||||||||
−31.4642 | − | 18.4599i | −1.08112 | − | 0.634288i | |||||
−34.1381 | −1.17231 | |||||||||
7.54383 | − | 23.2175i | 0.258903 | − | 0.796823i | |||||
0 | 0 | |||||||||
54.9864 | + | 39.9500i | 1.88491 | + | 1.36947i | |||||
9.44055 | + | 29.0550i | 0.323428 | + | 0.995409i | |||||
−13.7763 | − | 42.3992i | −0.471693 | − | 1.45172i | −0.850367 | − | 0.526190i | ||
0.378674 | − | 0.925530i | ||||||||
−46.4181 | − | 33.7247i | −1.58839 | − | 1.15404i | |||||
0 | 0 | |||||||||
4.41628 | − | 13.5919i | 0.150945 | − | 0.464562i | |||||
−24.3105 | −0.830430 | −0.415215 | − | 0.909723i | ||||||
−0.415215 | + | 0.909723i | ||||||||
17.4376 | − | 0.852855i | 0.595311 | − | 0.0291160i | |||||
−35.5045 | −1.21140 | −0.605699 | − | 0.795694i | ||||||
−0.605699 | + | 0.795694i | ||||||||
0 | 0 | |||||||||
2.50205 | − | 1.81784i | 0.0852695 | − | 0.0619519i | |||||
59.8040 | + | 43.4502i | 2.03693 | + | 1.47992i | |||||
3.60684 | + | 11.1007i | 0.122778 | + | 0.377873i | 0.993490 | − | 0.113921i | ||
−0.870711 | + | 0.491794i | ||||||||
2.47926 | + | 7.63038i | 0.0843462 | + | 0.259591i | |||||
0 | 0 | |||||||||
−31.0609 | + | 22.5670i | −1.05549 | + | 0.766859i | |||||
9.07851 | − | 27.9408i | 0.308322 | − | 0.948919i | |||||
−8.86503 | −0.300899 | |||||||||
−3.36314 | + | 12.3784i | −0.114087 | + | 0.419910i | |||||
0 | 0 | |||||||||
3.20786 | − | 9.87276i | 0.108694 | − | 0.334526i | |||||
5.06739 | − | 3.68167i | 0.171603 | − | 0.124677i | |||||
2.32085 | + | 1.68620i | 0.0785489 | + | 0.0570691i | |||||
4.40054 | + | 13.5435i | 0.148850 | + | 0.458115i | |||||
0 | 0 | |||||||||
11.3139 | + | 8.22003i | 0.382261 | + | 0.277729i | |||||
21.4243 | − | 15.5657i | 0.723447 | − | 0.525615i | −0.164036 | − | 0.986454i | ||
0.887484 | + | 0.460839i | ||||||||
12.8989 | − | 39.6986i | 0.435315 | − | 1.33976i | |||||
−11.8197 | −0.398667 | |||||||||
0 | 0 | |||||||||
10.3488 | 0.348658 | 0.174329 | − | 0.984687i | ||||||
0.174329 | + | 0.984687i | ||||||||
−2.60250 | + | 8.00967i | −0.0876307 | + | 0.269700i | |||||
2.19364 | − | 1.59377i | 0.0738217 | − | 0.0536346i | −0.550262 | − | 0.834992i | ||
0.624084 | + | 0.781357i | ||||||||
−33.5573 | − | 24.3808i | −1.12865 | − | 0.820015i | |||||
0 | 0 | |||||||||
−10.8633 | − | 33.4338i | −0.364959 | − | 1.12323i | |||||
−0.0992445 | − | 0.0721054i | −0.00333230 | − | 0.00242106i | 0.586118 | − | 0.810226i | ||
−0.589450 | + | 0.807805i | ||||||||
−8.60092 | + | 6.24893i | −0.288628 | + | 0.209700i | |||||
−6.87169 | + | 21.1489i | −0.230469 | + | 0.709311i | |||||
0 | 0 | |||||||||
−2.77523 | − | 1.81606i | −0.0929739 | − | 0.0608403i | |||||
−12.6880 | −0.424825 | |||||||||
0.756933 | − | 2.32960i | 0.0253298 | − | 0.0779571i | |||||
−32.4148 | + | 23.5507i | −1.08411 | + | 0.787654i | |||||
0 | 0 | |||||||||
7.37296 | + | 22.6916i | 0.246313 | + | 0.758075i | |||||
−4.54845 | − | 13.9987i | −0.151868 | − | 0.467403i | |||||
−22.4904 | − | 16.3403i | −0.750516 | − | 0.545282i | |||||
−0.996022 | + | 0.723652i | −0.0332192 | + | 0.0241352i | |||||
0 | 0 | |||||||||
−79.2406 | −2.63989 | |||||||||
2.31366 | + | 6.09075i | 0.0770365 | + | 0.202800i | |||||
1.83124 | 0.0609398 | |||||||||
0.0858376 | − | 0.264181i | 0.00285491 | − | 0.00878652i | |||||
0 | 0 | |||||||||
6.64777 | + | 4.82989i | 0.220857 | + | 0.160462i | |||||
−4.27023 | − | 13.1424i | −0.141791 | − | 0.436387i | 0.854794 | − | 0.518968i | ||
−0.996584 | + | 0.0825812i | ||||||||
−7.30780 | − | 22.4911i | −0.242518 | − | 0.746393i | |||||
−7.98501 | − | 5.80145i | −0.264846 | − | 0.192422i | |||||
0 | 0 | |||||||||
7.18645 | − | 22.1176i | 0.238098 | − | 0.732790i | −0.758598 | − | 0.651559i | ||
0.996695 | − | 0.0812302i | ||||||||
3.36725 | 0.111501 | |||||||||
−7.16142 | − | 18.8525i | −0.237009 | − | 0.623928i | |||||
−44.7997 | −1.48184 | |||||||||
0 | 0 | |||||||||
−36.4820 | + | 26.5057i | −1.20540 | + | 0.875773i | |||||
21.6711 | + | 15.7450i | 0.715642 | + | 0.519945i | |||||
4.43307 | + | 13.6436i | 0.146313 | + | 0.450306i | |||||
8.16663 | + | 25.1343i | 0.269392 | + | 0.829104i | 0.990649 | + | 0.136436i | ||
−0.721257 | + | 0.692668i | ||||||||
0 | 0 | |||||||||
18.0586 | − | 13.1203i | 0.595051 | − | 0.432330i | |||||
13.0692 | − | 40.2228i | 0.430410 | − | 1.32467i | |||||
−31.3212 | −1.03095 | |||||||||
−22.4326 | − | 14.6795i | −0.737980 | − | 0.482920i | |||||
0 | 0 | |||||||||
0.626554 | − | 1.92833i | 0.0205898 | − | 0.0633690i | |||||
−6.24523 | + | 4.53743i | −0.205120 | + | 0.149029i | |||||
7.28634 | + | 5.29383i | 0.239186 | + | 0.173779i | |||||
−2.48284 | − | 7.64138i | −0.0814592 | − | 0.250706i | 0.902030 | − | 0.431674i | ||
−0.983489 | + | 0.180968i | ||||||||
0 | 0 | |||||||||
3.71217 | + | 2.69705i | 0.121662 | + | 0.0883923i | |||||
−29.4882 | + | 21.4244i | −0.965919 | + | 0.701781i | |||||
−6.02070 | + | 18.5298i | −0.197109 | + | 0.606639i | |||||
31.4144 | 1.02791 | |||||||||
0 | 0 | |||||||||
2.30234 | 0.0752545 | |||||||||
4.16903 | − | 12.8309i | 0.136196 | − | 0.419169i | −0.859578 | − | 0.511005i | ||
0.995774 | + | 0.0918359i | ||||||||
−23.4782 | + | 17.0579i | −0.766590 | + | 0.556960i | |||||
14.0386 | + | 10.1997i | 0.458133 | + | 0.332853i | |||||
0 | 0 | |||||||||
−9.85889 | − | 30.3425i | −0.321391 | − | 0.989138i | −0.973044 | − | 0.230621i | ||
0.651653 | − | 0.758517i | ||||||||
−31.3305 | − | 22.7630i | −1.02080 | − | 0.741657i | |||||
4.44398 | − | 3.22874i | 0.144716 | − | 0.105142i | |||||
−7.61426 | + | 23.4343i | −0.247823 | + | 0.762721i | |||||
0 | 0 | |||||||||
−1.01149 | + | 3.72290i | −0.0328863 | + | 0.121042i | |||||
−10.2719 | −0.333793 | −0.166896 | − | 0.985974i | ||||||
−0.166896 | + | 0.985974i | ||||||||
−2.91300 | + | 8.96529i | −0.0946099 | + | 0.291179i | |||||
−11.5994 | + | 8.42745i | −0.376532 | + | 0.273567i | |||||
0 | 0 | |||||||||
−0.256706 | − | 0.790059i | −0.00832425 | − | 0.0256194i | |||||
6.43017 | + | 19.7900i | 0.208403 | + | 0.641399i | |||||
7.95608 | + | 5.78043i | 0.257723 | + | 0.187247i | 0.709143 | − | 0.705065i | ||
−0.451420 | + | 0.892312i | ||||||||
19.8294 | − | 14.4069i | 0.642001 | − | 0.466441i | |||||
0 | 0 | |||||||||
−3.67353 | −0.118810 | |||||||||
−3.71868 | + | 0.181877i | −0.120208 | + | 0.00587924i | |||||
1.00170 | 0.0323635 | |||||||||
−6.59748 | + | 20.3050i | −0.213044 | + | 0.655681i | |||||
0 | 0 | |||||||||
24.1064 | + | 17.5143i | 0.777627 | + | 0.564979i | |||||
−18.7696 | − | 57.7669i | −0.605157 | − | 1.86248i | |||||
−4.79328 | − | 14.7522i | −0.154461 | − | 0.475383i | |||||
13.9919 | + | 10.1657i | 0.450649 | + | 0.327416i | |||||
0 | 0 | |||||||||
−12.7156 | + | 39.1347i | −0.409118 | + | 1.25914i | |||||
3.85001 | 0.123808 | 0.0619041 | − | 0.998082i | ||||||
0.0619041 | + | 0.998082i | ||||||||
7.57880 | − | 6.72879i | 0.243592 | − | 0.216272i | |||||
7.81600 | 0.251086 | |||||||||
0 | 0 | |||||||||
−17.3065 | + | 12.5739i | −0.555392 | + | 0.403516i | −0.829769 | − | 0.558106i | ||
0.274378 | + | 0.961622i | ||||||||
−1.97188 | − | 1.43266i | −0.0632482 | − | 0.0459525i | |||||
7.14868 | + | 22.0014i | 0.229176 | + | 0.705332i | |||||
23.0129 | + | 70.8264i | 0.737381 | + | 2.26942i | |||||
0 | 0 | |||||||||
−19.4947 | + | 14.1637i | −0.624011 | + | 0.453370i | |||||
5.15071 | − | 15.8523i | 0.164786 | − | 0.507159i | −0.834235 | − | 0.551410i | ||
0.999020 | + | 0.0442509i | ||||||||
37.0156 | 1.18363 | |||||||||
41.7229 | − | 2.04062i | 1.33347 | − | 0.0652185i | |||||
0 | 0 | |||||||||
2.10080 | − | 6.46561i | 0.0670735 | − | 0.206431i | |||||
−51.3524 | + | 37.3097i | −1.63872 | + | 1.19060i | |||||
41.9532 | + | 30.4808i | 1.33810 | + | 0.972186i | 0.999512 | + | 0.0312510i | ||
0.338588 | + | 0.940935i | ||||||||
0.265513 | + | 0.817166i | 0.00846426 | + | 0.0260503i | |||||
0 | 0 | |||||||||
13.0284 | + | 9.46570i | 0.414910 | + | 0.301449i | |||||
5.72618 | − | 4.16031i | 0.182266 | − | 0.132424i | |||||
2.16012 | − | 6.64816i | 0.0687226 | − | 0.211506i | |||||
3.25253 | 0.103425 | |||||||||
0 | 0 | |||||||||
19.8195 | 0.629588 | 0.314794 | − | 0.949160i | ||||||
0.314794 | + | 0.949160i | ||||||||
−2.71908 | + | 8.36846i | −0.0863308 | + | 0.265699i | |||||
25.5092 | − | 18.5335i | 0.809510 | − | 0.588144i | |||||
70.8386 | + | 51.4672i | 2.24686 | + | 1.63244i | |||||
0 | 0 | |||||||||
−4.57982 | − | 14.0953i | −0.145117 | − | 0.446625i | |||||
−41.7934 | − | 30.3647i | −1.32361 | − | 0.961658i | −0.999880 | − | 0.0155088i | ||
−0.323730 | − | 0.946150i | ||||||||
−62.1688 | + | 45.1683i | −1.96792 | + | 1.42978i | |||||
−3.56571 | + | 10.9741i | −0.112814 | + | 0.347206i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 825.2.n.p.526.2 | 24 | ||
5.2 | odd | 4 | 165.2.s.a.64.3 | yes | 48 | ||
5.3 | odd | 4 | 165.2.s.a.64.10 | yes | 48 | ||
5.4 | even | 2 | 825.2.n.o.526.5 | 24 | |||
11.4 | even | 5 | 9075.2.a.dy.1.3 | 12 | |||
11.5 | even | 5 | inner | 825.2.n.p.676.2 | 24 | ||
11.7 | odd | 10 | 9075.2.a.ea.1.10 | 12 | |||
15.2 | even | 4 | 495.2.ba.c.64.10 | 48 | |||
15.8 | even | 4 | 495.2.ba.c.64.3 | 48 | |||
55.4 | even | 10 | 9075.2.a.dz.1.10 | 12 | |||
55.7 | even | 20 | 1815.2.c.k.364.20 | 24 | |||
55.18 | even | 20 | 1815.2.c.k.364.5 | 24 | |||
55.27 | odd | 20 | 165.2.s.a.49.10 | yes | 48 | ||
55.29 | odd | 10 | 9075.2.a.dx.1.3 | 12 | |||
55.37 | odd | 20 | 1815.2.c.j.364.5 | 24 | |||
55.38 | odd | 20 | 165.2.s.a.49.3 | ✓ | 48 | ||
55.48 | odd | 20 | 1815.2.c.j.364.20 | 24 | |||
55.49 | even | 10 | 825.2.n.o.676.5 | 24 | |||
165.38 | even | 20 | 495.2.ba.c.379.10 | 48 | |||
165.137 | even | 20 | 495.2.ba.c.379.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.49.3 | ✓ | 48 | 55.38 | odd | 20 | ||
165.2.s.a.49.10 | yes | 48 | 55.27 | odd | 20 | ||
165.2.s.a.64.3 | yes | 48 | 5.2 | odd | 4 | ||
165.2.s.a.64.10 | yes | 48 | 5.3 | odd | 4 | ||
495.2.ba.c.64.3 | 48 | 15.8 | even | 4 | |||
495.2.ba.c.64.10 | 48 | 15.2 | even | 4 | |||
495.2.ba.c.379.3 | 48 | 165.137 | even | 20 | |||
495.2.ba.c.379.10 | 48 | 165.38 | even | 20 | |||
825.2.n.o.526.5 | 24 | 5.4 | even | 2 | |||
825.2.n.o.676.5 | 24 | 55.49 | even | 10 | |||
825.2.n.p.526.2 | 24 | 1.1 | even | 1 | trivial | ||
825.2.n.p.676.2 | 24 | 11.5 | even | 5 | inner | ||
1815.2.c.j.364.5 | 24 | 55.37 | odd | 20 | |||
1815.2.c.j.364.20 | 24 | 55.48 | odd | 20 | |||
1815.2.c.k.364.5 | 24 | 55.18 | even | 20 | |||
1815.2.c.k.364.20 | 24 | 55.7 | even | 20 | |||
9075.2.a.dx.1.3 | 12 | 55.29 | odd | 10 | |||
9075.2.a.dy.1.3 | 12 | 11.4 | even | 5 | |||
9075.2.a.dz.1.10 | 12 | 55.4 | even | 10 | |||
9075.2.a.ea.1.10 | 12 | 11.7 | odd | 10 |