Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(89,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 630.bo (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 |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 89.3 | ||
Root | of defining polynomial | ||
Character | 630.89 | ||
Dual form | 630.2.bo.a.269.3 |
-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 .
−0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | |||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | |||||
−1.68760 | − | 1.46697i | −0.754718 | − | 0.656050i | |||||
0 | 0 | |||||||||
−2.30608 | + | 1.29693i | −0.871614 | + | 0.490192i | |||||
1.00000 | 0.353553 | |||||||||
0 | 0 | |||||||||
2.11423 | − | 0.728019i | 0.668580 | − | 0.230220i | |||||
1.11120 | − | 0.641550i | 0.335038 | − | 0.193435i | −0.323037 | − | 0.946386i | ||
0.658076 | + | 0.752952i | ||||||||
0 | 0 | |||||||||
6.14864 | 1.70533 | 0.852663 | − | 0.522462i | ||||||
0.852663 | + | 0.522462i | ||||||||
0.0298666 | − | 2.64558i | 0.00798219 | − | 0.707062i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | |||||
−5.64871 | + | 3.26128i | −1.37001 | + | 0.790977i | −0.990929 | − | 0.134385i | ||
−0.379084 | + | 0.925362i | ||||||||
0 | 0 | |||||||||
5.22868 | + | 3.01878i | 1.19954 | + | 0.692555i | 0.960453 | − | 0.278443i | ||
0.239088 | + | 0.970998i | ||||||||
−0.426635 | + | 2.19499i | −0.0953985 | + | 0.490815i | |||||
0 | 0 | |||||||||
1.28310i | 0.273558i | |||||||||
−1.43958 | + | 2.49343i | −0.300174 | + | 0.519917i | −0.976175 | − | 0.216984i | ||
0.676001 | + | 0.736901i | ||||||||
0 | 0 | |||||||||
0.695987 | + | 4.95132i | 0.139197 | + | 0.990265i | |||||
−3.07432 | + | 5.32488i | −0.602923 | + | 1.04429i | |||||
0 | 0 | |||||||||
2.27621 | + | 1.34866i | 0.430163 | + | 0.254872i | |||||
1.35052i | 0.250785i | 0.992107 | + | 0.125393i | ||||||
−0.992107 | + | 0.125393i | ||||||||
0 | 0 | |||||||||
−7.49558 | + | 4.32758i | −1.34625 | + | 0.777255i | −0.987716 | − | 0.156263i | ||
−0.358530 | + | 0.933518i | ||||||||
−0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | |||||
0 | 0 | |||||||||
− | 6.52257i | − | 1.11861i | |||||||
5.79429 | + | 1.19425i | 0.979413 | + | 0.201866i | |||||
0 | 0 | |||||||||
8.25652 | + | 4.76690i | 1.35736 | + | 0.783674i | 0.989268 | − | 0.146114i | ||
0.368095 | + | 0.929788i | ||||||||
−5.22868 | + | 3.01878i | −0.848203 | + | 0.489710i | |||||
0 | 0 | |||||||||
−1.68760 | − | 1.46697i | −0.266833 | − | 0.231949i | |||||
8.71759 | 1.36146 | 0.680730 | − | 0.732535i | ||||||
0.680730 | + | 0.732535i | ||||||||
0 | 0 | |||||||||
5.35859i | 0.817177i | 0.912719 | + | 0.408588i | ||||||
−0.912719 | + | 0.408588i | ||||||||
−1.11120 | − | 0.641550i | −0.167519 | − | 0.0967173i | |||||
0 | 0 | |||||||||
−1.43958 | − | 2.49343i | −0.212255 | − | 0.367637i | |||||
0.698165 | + | 0.403086i | 0.101838 | + | 0.0587961i | 0.550054 | − | 0.835129i | ||
−0.448216 | + | 0.893925i | ||||||||
0 | 0 | |||||||||
3.63597 | − | 5.98162i | 0.519424 | − | 0.854517i | |||||
−4.63597 | − | 1.87292i | −0.655625 | − | 0.264871i | |||||
0 | 0 | |||||||||
−3.07432 | − | 5.32488i | −0.426331 | − | 0.738427i | |||||
3.33413 | + | 5.77488i | 0.457978 | + | 0.793241i | 0.998854 | − | 0.0478611i | ||
−0.540876 | + | 0.841102i | ||||||||
0 | 0 | |||||||||
−2.81639 | − | 0.547415i | −0.379762 | − | 0.0738134i | |||||
−2.30608 | + | 1.29693i | −0.308162 | + | 0.173309i | |||||
0 | 0 | |||||||||
−1.16959 | − | 0.675260i | −0.153574 | − | 0.0886660i | |||||
−0.798110 | − | 1.38237i | −0.103905 | − | 0.179969i | 0.809385 | − | 0.587278i | ||
−0.913290 | + | 0.407309i | ||||||||
0 | 0 | |||||||||
−5.50239 | − | 3.17681i | −0.704509 | − | 0.406748i | 0.104516 | − | 0.994523i | ||
−0.809025 | + | 0.587775i | ||||||||
− | 8.65515i | − | 1.09921i | |||||||
0 | 0 | |||||||||
1.00000 | 0.125000 | |||||||||
−10.3764 | − | 9.01988i | −1.28704 | − | 1.11878i | |||||
0 | 0 | |||||||||
4.67188 | − | 2.69731i | 0.570761 | − | 0.329529i | −0.186692 | − | 0.982418i | ||
0.757453 | + | 0.652889i | ||||||||
5.64871 | + | 3.26128i | 0.685006 | + | 0.395489i | |||||
0 | 0 | |||||||||
−3.93140 | + | 4.42087i | −0.469892 | + | 0.528395i | |||||
15.6787i | 1.86072i | 0.366650 | + | 0.930359i | ||||||
−0.366650 | + | 0.930359i | ||||||||
0 | 0 | |||||||||
−6.20837 | − | 10.7532i | −0.726635 | − | 1.25857i | −0.958298 | − | 0.285772i | ||
0.231663 | − | 0.972796i | ||||||||
−8.25652 | + | 4.76690i | −0.959801 | + | 0.554141i | |||||
0 | 0 | |||||||||
− | 6.03756i | − | 0.692555i | |||||||
−1.73046 | + | 2.92060i | −0.197204 | + | 0.332834i | |||||
0 | 0 | |||||||||
−5.59093 | + | 9.68377i | −0.629028 | + | 1.08951i | 0.358719 | + | 0.933446i | ||
−0.987747 | + | 0.156064i | ||||||||
2.11423 | − | 0.728019i | 0.236379 | − | 0.0813949i | |||||
0 | 0 | |||||||||
−4.35880 | + | 7.54966i | −0.481349 | + | 0.833720i | |||||
− | 3.74493i | − | 0.411059i | −0.978651 | − | 0.205530i | ||||
0.978651 | − | 0.205530i | ||||||||
0 | 0 | |||||||||
14.3170 | + | 2.78275i | 1.55289 | + | 0.301832i | |||||
−4.64067 | − | 2.67929i | −0.500417 | − | 0.288916i | |||||
0 | 0 | |||||||||
1.11120 | − | 0.641550i | 0.118454 | − | 0.0683894i | |||||
1.81971 | − | 3.15183i | 0.192889 | − | 0.334093i | −0.753318 | − | 0.657657i | ||
0.946206 | + | 0.323564i | ||||||||
0 | 0 | |||||||||
−14.1792 | + | 7.97433i | −1.48639 | + | 0.835937i | |||||
2.87917 | 0.300174 | |||||||||
0 | 0 | |||||||||
−0.698165 | + | 0.403086i | −0.0720102 | + | 0.0415751i | |||||
−4.39545 | − | 12.7648i | −0.450964 | − | 1.30964i | |||||
0 | 0 | |||||||||
−8.76818 | −0.890274 | −0.445137 | − | 0.895463i | ||||||
−0.445137 | + | 0.895463i | ||||||||
3.36225 | + | 6.13965i | 0.339639 | + | 0.620198i | |||||
0 | 0 | |||||||||
3.93998 | − | 3.07840i | 0.393998 | − | 0.307840i | |||||
0.853270 | + | 1.47791i | 0.0849035 | + | 0.147057i | 0.905350 | − | 0.424666i | ||
−0.820447 | + | 0.571723i | ||||||||
0 | 0 | |||||||||
5.18220 | − | 8.97583i | 0.510617 | − | 0.884415i | −0.489307 | − | 0.872112i | ||
0.999924 | − | 0.0123035i | ||||||||
6.14864 | 0.602923 | |||||||||
0 | 0 | |||||||||
−6.66826 | −0.647679 | |||||||||
5.75680 | − | 9.97106i | 0.556531 | − | 0.963939i | −0.441252 | − | 0.897383i | ||
0.997783 | − | 0.0665560i | ||||||||
0 | 0 | |||||||||
−1.00000 | − | 1.73205i | −0.0957826 | − | 0.165900i | 0.814152 | − | 0.580651i | ||
−0.909935 | + | 0.414751i | ||||||||
1.88227 | − | 2.16536i | 0.179468 | − | 0.206459i | |||||
0 | 0 | |||||||||
0.0298666 | − | 2.64558i | 0.00282213 | − | 0.249984i | |||||
13.3875 | 1.25939 | 0.629695 | − | 0.776843i | ||||||
0.629695 | + | 0.776843i | ||||||||
0 | 0 | |||||||||
6.08724 | − | 2.09609i | 0.567638 | − | 0.195461i | |||||
1.16959 | − | 0.675260i | 0.108593 | − | 0.0626963i | |||||
0 | 0 | |||||||||
1.59622 | 0.146944 | |||||||||
8.79670 | − | 14.8467i | 0.806392 | − | 1.36100i | |||||
0 | 0 | |||||||||
−4.67683 | + | 8.10050i | −0.425166 | + | 0.736409i | |||||
5.50239 | − | 3.17681i | 0.498163 | − | 0.287615i | |||||
0 | 0 | |||||||||
7.49558 | + | 4.32758i | 0.673123 | + | 0.388628i | |||||
6.08890 | − | 9.37685i | 0.544608 | − | 0.838691i | |||||
0 | 0 | |||||||||
− | 5.65313i | − | 0.501634i | −0.968035 | − | 0.250817i | ||||
0.968035 | − | 0.250817i | ||||||||
−0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | |||||
0 | 0 | |||||||||
12.9997 | − | 4.47632i | 1.14015 | − | 0.392599i | |||||
−6.23366 | + | 10.7970i | −0.544638 | + | 0.943340i | 0.453992 | + | 0.891006i | ||
−0.998630 | + | 0.0523344i | ||||||||
0 | 0 | |||||||||
−15.9729 | − | 0.180321i | −1.38502 | − | 0.0156358i | |||||
5.39463i | 0.466025i | |||||||||
0 | 0 | |||||||||
−5.64871 | + | 3.26128i | −0.484373 | + | 0.279653i | |||||
0.0254843 | + | 0.0441401i | 0.00217727 | + | 0.00377114i | 0.867112 | − | 0.498113i | ||
−0.864935 | + | 0.501884i | ||||||||
0 | 0 | |||||||||
− | 1.05069i | − | 0.0891184i | −0.999007 | − | 0.0445592i | ||||
0.999007 | − | 0.0445592i | ||||||||
−1.86289 | − | 5.61513i | −0.157443 | − | 0.474565i | |||||
0 | 0 | |||||||||
−13.5781 | − | 7.83934i | −1.13945 | − | 0.657863i | |||||
6.83235 | − | 3.94466i | 0.571350 | − | 0.329869i | |||||
0 | 0 | |||||||||
1.98118 | − | 2.27914i | 0.164528 | − | 0.189272i | |||||
12.4167 | 1.02762 | |||||||||
0 | 0 | |||||||||
− | 9.53381i | − | 0.783674i | |||||||
−7.12137 | − | 4.11153i | −0.583406 | − | 0.336829i | 0.179080 | − | 0.983835i | ||
−0.762486 | + | 0.647005i | ||||||||
0 | 0 | |||||||||
2.13357 | + | 3.69546i | 0.173628 | + | 0.300732i | 0.939686 | − | 0.342040i | ||
−0.766058 | + | 0.642772i | ||||||||
5.22868 | + | 3.01878i | 0.424102 | + | 0.244855i | |||||
0 | 0 | |||||||||
−1.66409 | − | 2.95892i | −0.134096 | − | 0.238437i | |||||
18.9980 | + | 3.69259i | 1.52595 | + | 0.296596i | |||||
0 | 0 | |||||||||
2.41601 | + | 4.18466i | 0.192819 | + | 0.333972i | 0.946183 | − | 0.323631i | ||
−0.753364 | + | 0.657603i | ||||||||
−5.59093 | − | 9.68377i | −0.444790 | − | 0.770399i | |||||
0 | 0 | |||||||||
−0.426635 | + | 2.19499i | −0.0337285 | + | 0.173529i | |||||
0.0859910 | − | 7.61708i | 0.00677704 | − | 0.600310i | |||||
0 | 0 | |||||||||
9.31256 | + | 5.37661i | 0.729416 | + | 0.421128i | 0.818208 | − | 0.574922i | ||
−0.0887927 | + | 0.996050i | ||||||||
−4.35880 | − | 7.54966i | −0.340365 | − | 0.589529i | |||||
0 | 0 | |||||||||
3.24320 | + | 1.87246i | 0.251721 | + | 0.145331i | |||||
18.9267i | 1.46459i | 0.680988 | + | 0.732295i | ||||||
−0.680988 | + | 0.732295i | ||||||||
0 | 0 | |||||||||
24.8057 | 1.90813 | |||||||||
−9.56842 | + | 11.0075i | −0.733864 | + | 0.844235i | |||||
0 | 0 | |||||||||
4.64067 | − | 2.67929i | 0.353848 | − | 0.204294i | |||||
−10.2568 | − | 5.92176i | −0.779810 | − | 0.450223i | 0.0565531 | − | 0.998400i | ||
−0.836363 | + | 0.548176i | ||||||||
0 | 0 | |||||||||
−8.02650 | − | 10.5155i | −0.606746 | − | 0.794896i | |||||
1.28310i | 0.0967173i | |||||||||
0 | 0 | |||||||||
1.81971 | + | 3.15183i | 0.136393 | + | 0.236239i | |||||
−3.27843 | + | 1.89280i | −0.245041 | + | 0.141475i | −0.617492 | − | 0.786577i | ||
0.372450 | + | 0.928052i | ||||||||
0 | 0 | |||||||||
− | 19.0033i | − | 1.41251i | −0.707960 | − | 0.706253i | ||||
0.707960 | − | 0.706253i | ||||||||
0.183639 | − | 16.2667i | 0.0136122 | − | 1.20577i | |||||
0 | 0 | |||||||||
−1.43958 | + | 2.49343i | −0.106128 | + | 0.183818i | |||||
−6.94079 | − | 20.1567i | −0.510297 | − | 1.48195i | |||||
0 | 0 | |||||||||
−4.18455 | + | 7.24785i | −0.306005 | + | 0.530016i | |||||
− | 0.806172i | − | 0.0587961i | |||||||
0 | 0 | |||||||||
13.2524 | + | 2.57583i | 0.961428 | + | 0.186871i | |||||
−2.44949 | − | 1.41421i | −0.177239 | − | 0.102329i | 0.408756 | − | 0.912644i | ||
−0.585995 | + | 0.810315i | ||||||||
0 | 0 | |||||||||
3.06479 | − | 1.76946i | 0.220608 | − | 0.127368i | −0.385623 | − | 0.922656i | ||
0.606232 | + | 0.795288i | ||||||||
4.38409 | − | 7.59347i | 0.314759 | − | 0.545179i | |||||
0 | 0 | |||||||||
−6.99822 | − | 0.158029i | −0.499873 | − | 0.0112878i | |||||
−2.36728 | −0.168662 | −0.0843308 | − | 0.996438i | ||||||
−0.0843308 | + | 0.996438i | ||||||||
0 | 0 | |||||||||
−3.00000 | + | 1.73205i | −0.212664 | + | 0.122782i | −0.602549 | − | 0.798082i | ||
0.389885 | + | 0.920864i | ||||||||
0.695987 | + | 4.95132i | 0.0492137 | + | 0.350111i | |||||
0 | 0 | |||||||||
−1.70654 | −0.120072 | |||||||||
−1.75153 | − | 3.11440i | −0.122933 | − | 0.218588i | |||||
0 | 0 | |||||||||
−14.7118 | − | 12.7885i | −1.02752 | − | 0.893185i | |||||
5.18220 | + | 8.97583i | 0.361061 | + | 0.625376i | |||||
0 | 0 | |||||||||
−3.07432 | + | 5.32488i | −0.213166 | + | 0.369214i | |||||
7.74679 | 0.535856 | |||||||||
0 | 0 | |||||||||
−14.3620 | −0.988721 | −0.494361 | − | 0.869257i | ||||||
−0.494361 | + | 0.869257i | ||||||||
3.33413 | − | 5.77488i | 0.228989 | − | 0.396621i | |||||
0 | 0 | |||||||||
5.75680 | + | 9.97106i | 0.393527 | + | 0.681608i | |||||
7.86090 | − | 9.04315i | 0.536109 | − | 0.616738i | |||||
0 | 0 | |||||||||
11.6728 | − | 19.7009i | 0.792403 | − | 1.33739i | |||||
2.00000 | 0.135457 | |||||||||
0 | 0 | |||||||||
0.934120 | + | 2.71277i | 0.0629784 | + | 0.182895i | |||||
−34.7319 | + | 20.0524i | −2.33632 | + | 1.34887i | |||||
0 | 0 | |||||||||
−13.5975 | −0.910557 | −0.455279 | − | 0.890349i | ||||||
−0.455279 | + | 0.890349i | ||||||||
2.27621 | + | 1.34866i | 0.152086 | + | 0.0901109i | |||||
0 | 0 | |||||||||
−6.69375 | + | 11.5939i | −0.445261 | + | 0.771215i | |||||
−10.7006 | + | 6.17797i | −0.710221 | + | 0.410046i | −0.811143 | − | 0.584848i | ||
0.100922 | + | 0.994894i | ||||||||
0 | 0 | |||||||||
−2.09008 | − | 1.20671i | −0.138116 | − | 0.0797414i | 0.429350 | − | 0.903138i | ||
−0.567466 | + | 0.823397i | ||||||||
−1.22835 | + | 6.31975i | −0.0809952 | + | 0.416712i | |||||
0 | 0 | |||||||||
1.35052i | 0.0886660i | |||||||||
6.43780 | − | 11.1506i | 0.421754 | − | 0.730500i | −0.574357 | − | 0.818605i | ||
0.996111 | + | 0.0881051i | ||||||||
0 | 0 | |||||||||
−0.586908 | − | 1.70444i | −0.0382857 | − | 0.111185i | |||||
−0.798110 | + | 1.38237i | −0.0519525 | + | 0.0899844i | |||||
0 | 0 | |||||||||
8.45929 | + | 15.0415i | 0.548334 | + | 0.974997i | |||||
27.2546i | 1.76296i | 0.472226 | + | 0.881478i | ||||||
−0.472226 | + | 0.881478i | ||||||||
0 | 0 | |||||||||
2.26690 | − | 1.30880i | 0.146024 | − | 0.0843070i | −0.425208 | − | 0.905096i | ||
0.571232 | + | 0.820789i | ||||||||
−4.67683 | − | 8.10050i | −0.300638 | − | 0.520720i | |||||
0 | 0 | |||||||||
6.35361i | 0.406748i | |||||||||
−14.9109 | + | 4.76072i | −0.952624 | + | 0.304151i | |||||
0 | 0 | |||||||||
32.1492 | + | 18.5614i | 2.04561 | + | 1.18103i | |||||
−7.49558 | + | 4.32758i | −0.475970 | + | 0.274801i | |||||
0 | 0 | |||||||||
5.07614 | + | 9.96157i | 0.321043 | + | 0.630025i | |||||
26.7173 | 1.68638 | 0.843190 | − | 0.537615i | ||||||
0.843190 | + | 0.537615i | ||||||||
0 | 0 | |||||||||
3.69426i | 0.232256i | |||||||||
4.89575 | + | 2.82656i | 0.307187 | + | 0.177354i | |||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | |||||
9.14632 | + | 5.28063i | 0.570532 | + | 0.329397i | 0.757362 | − | 0.652996i | ||
−0.186830 | + | 0.982392i | ||||||||
0 | 0 | |||||||||
−25.2225 | − | 0.284743i | −1.56725 | − | 0.0176930i | |||||
−2.62322 | + | 13.4962i | −0.162685 | + | 0.836999i | |||||
0 | 0 | |||||||||
−6.23366 | − | 10.7970i | −0.385117 | − | 0.667042i | |||||
4.16587 | + | 7.21550i | 0.256879 | + | 0.444927i | 0.965404 | − | 0.260759i | ||
−0.708526 | + | 0.705685i | ||||||||
0 | 0 | |||||||||
2.84491 | − | 14.6368i | 0.174762 | − | 0.899130i | |||||
8.14259 | − | 13.7427i | 0.499254 | − | 0.842621i | |||||
0 | 0 | |||||||||
−4.67188 | − | 2.69731i | −0.285381 | − | 0.164765i | |||||
−7.14171 | − | 12.3698i | −0.435438 | − | 0.754201i | 0.561893 | − | 0.827210i | ||
−0.997331 | + | 0.0730091i | ||||||||
0 | 0 | |||||||||
−6.58566 | − | 3.80223i | −0.400050 | − | 0.230969i | 0.286456 | − | 0.958094i | ||
−0.686506 | + | 0.727125i | ||||||||
− | 6.52257i | − | 0.395489i | |||||||
0 | 0 | |||||||||
−0.0509686 | −0.00307912 | |||||||||
3.94990 | + | 5.05538i | 0.238188 | + | 0.304851i | |||||
0 | 0 | |||||||||
−10.4270 | + | 6.02002i | −0.626497 | + | 0.361708i | −0.779394 | − | 0.626534i | ||
0.152897 | + | 0.988242i | ||||||||
0.909924 | + | 0.525345i | 0.0545736 | + | 0.0315081i | |||||
0 | 0 | |||||||||
5.79429 | + | 1.19425i | 0.346275 | + | 0.0713704i | |||||
− | 12.7879i | − | 0.762861i | −0.924397 | − | 0.381431i | ||||
0.924397 | − | 0.381431i | ||||||||
0 | 0 | |||||||||
7.77607 | + | 13.4685i | 0.462239 | + | 0.800622i | 0.999072 | − | 0.0430666i | ||
−0.536833 | + | 0.843689i | ||||||||
13.5781 | − | 7.83934i | 0.805715 | − | 0.465180i | |||||
0 | 0 | |||||||||
7.88931i | 0.466505i | |||||||||
−20.1034 | + | 11.3061i | −1.18667 | + | 0.667376i | |||||
0 | 0 | |||||||||
12.7719 | − | 22.1216i | 0.751290 | − | 1.30127i | |||||
0.983204 | + | 2.85532i | 0.0577357 | + | 0.167670i | |||||
0 | 0 | |||||||||
−6.20837 | + | 10.7532i | −0.363317 | + | 0.629284i | |||||
− | 11.5536i | − | 0.674967i | −0.941331 | − | 0.337483i | ||||
0.941331 | − | 0.337483i | ||||||||
0 | 0 | |||||||||
−0.681003 | + | 3.50369i | −0.0396495 | + | 0.203993i | |||||
8.25652 | + | 4.76690i | 0.479900 | + | 0.277071i | |||||
0 | 0 | |||||||||
7.12137 | − | 4.11153i | 0.412530 | − | 0.238174i | |||||
−8.85148 | + | 15.3312i | −0.511894 | + | 0.886627i | |||||
0 | 0 | |||||||||
−6.94969 | − | 12.3573i | −0.400573 | − | 0.712263i | |||||
−4.26715 | −0.245547 | |||||||||
0 | 0 | |||||||||
−5.22868 | + | 3.01878i | −0.299885 | + | 0.173139i | |||||
4.62555 | + | 13.4330i | 0.264858 | + | 0.769173i | |||||
0 | 0 | |||||||||
−2.57617 | −0.147030 | −0.0735150 | − | 0.997294i | ||||||
−0.0735150 | + | 0.997294i | ||||||||
3.39455 | + | 0.0383219i | 0.193422 | + | 0.00218359i | |||||
0 | 0 | |||||||||
−12.6969 | + | 14.6064i | −0.721133 | + | 0.829590i | |||||
12.3570 | + | 21.4030i | 0.700702 | + | 1.21365i | 0.968220 | + | 0.250098i | ||
−0.267519 | + | 0.963553i | ||||||||
0 | 0 | |||||||||
4.50087 | − | 7.79573i | 0.254404 | − | 0.440641i | −0.710329 | − | 0.703869i | ||
0.964733 | + | 0.263229i | ||||||||
−4.83203 | −0.272687 | |||||||||
0 | 0 | |||||||||
11.1819 | 0.629028 | |||||||||
−11.9529 | + | 20.7031i | −0.671344 | + | 1.16280i | 0.306180 | + | 0.951974i | ||
−0.977523 | + | 0.210828i | ||||||||
0 | 0 | |||||||||
0.866426 | + | 1.50069i | 0.0485106 | + | 0.0840227i | |||||
−1.68760 | − | 1.46697i | −0.0943397 | − | 0.0820062i | |||||
0 | 0 | |||||||||
6.55359 | + | 3.88301i | 0.365217 | + | 0.216392i | |||||
−39.3804 | −2.19118 | |||||||||
0 | 0 | |||||||||
4.27937 | + | 30.4439i | 0.237377 | + | 1.68872i | |||||
−9.31256 | + | 5.37661i | −0.515775 | + | 0.297783i | |||||
0 | 0 | |||||||||
8.71759 | 0.481349 | |||||||||
−2.13279 | − | 0.0240776i | −0.117585 | − | 0.00132744i | |||||
0 | 0 | |||||||||
−2.18364 | + | 3.78217i | −0.120024 | + | 0.207887i | −0.919777 | − | 0.392442i | ||
0.799753 | + | 0.600329i | ||||||||
−3.24320 | + | 1.87246i | −0.177994 | + | 0.102765i | |||||
0 | 0 | |||||||||
−16.3910 | − | 9.46334i | −0.896874 | − | 0.517811i | |||||
−11.8412 | − | 2.30154i | −0.646951 | − | 0.125746i | |||||
0 | 0 | |||||||||
19.5159i | 1.06310i | 0.847028 | + | 0.531549i | ||||||
−0.847028 | + | 0.531549i | ||||||||
−12.4029 | + | 21.4824i | −0.674627 | + | 1.16849i | |||||
0 | 0 | |||||||||
−4.74855 | − | 13.7902i | −0.257526 | − | 0.747881i | |||||
−5.55271 | + | 9.61758i | −0.300696 | + | 0.520821i | |||||
0 | 0 | |||||||||
−0.627092 | + | 18.5096i | −0.0338598 | + | 0.999427i | |||||
5.35859i | 0.288916i | |||||||||
0 | 0 | |||||||||
10.2568 | − | 5.92176i | 0.551409 | − | 0.318356i | |||||
13.4574 | + | 23.3088i | 0.722429 | + | 1.25128i | 0.960024 | + | 0.279919i | ||
−0.237595 | + | 0.971364i | ||||||||
0 | 0 | |||||||||
− | 10.3821i | − | 0.555741i | −0.960619 | − | 0.277870i | ||||
0.960619 | − | 0.277870i | ||||||||
13.1199 | − | 1.69341i | 0.701289 | − | 0.0905167i | |||||
0 | 0 | |||||||||
−1.11120 | − | 0.641550i | −0.0592270 | − | 0.0341947i | |||||
−0.146316 | + | 0.0844756i | −0.00778761 | + | 0.00449618i | −0.503889 | − | 0.863769i | ||
0.496101 | + | 0.868265i | ||||||||
0 | 0 | |||||||||
23.0002 | − | 26.4594i | 1.22072 | − | 1.40432i | |||||
−3.63941 | −0.192889 | |||||||||
0 | 0 | |||||||||
− | 3.78561i | − | 0.200075i | |||||||
−32.6198 | − | 18.8330i | −1.72161 | − | 0.993970i | −0.915631 | − | 0.402021i | ||
−0.805975 | − | 0.591949i | ||||||||
0 | 0 | |||||||||
8.72604 | + | 15.1139i | 0.459265 | + | 0.795471i | |||||
16.4574 | + | 9.50166i | 0.864979 | + | 0.499396i | |||||
0 | 0 | |||||||||
13.9956 | + | 8.29240i | 0.733568 | + | 0.434640i | |||||
−5.29741 | + | 27.2546i | −0.277279 | + | 1.42657i | |||||
0 | 0 | |||||||||
−7.57787 | − | 13.1253i | −0.395562 | − | 0.685133i | 0.597611 | − | 0.801786i | ||
−0.993173 | + | 0.116653i | ||||||||
−1.43958 | − | 2.49343i | −0.0750435 | − | 0.129979i | |||||
0 | 0 | |||||||||
20.9266 | + | 4.06745i | 1.08792 | + | 0.211457i | |||||
−15.1784 | − | 8.99319i | −0.788021 | − | 0.466903i | |||||
0 | 0 | |||||||||
−10.4270 | − | 6.02002i | −0.539889 | − | 0.311705i | 0.205145 | − | 0.978732i | ||
−0.745034 | + | 0.667027i | ||||||||
−4.18455 | − | 7.24785i | −0.216378 | − | 0.374778i | |||||
0 | 0 | |||||||||
0.698165 | + | 0.403086i | 0.0360051 | + | 0.0207876i | |||||
8.30386i | 0.427671i | |||||||||
0 | 0 | |||||||||
18.0918 | 0.929312 | 0.464656 | − | 0.885491i | ||||||
0.464656 | + | 0.885491i | ||||||||
−8.85692 | + | 10.1890i | −0.454351 | + | 0.522684i | |||||
0 | 0 | |||||||||
2.44949 | − | 1.41421i | 0.125327 | − | 0.0723575i | |||||
−25.2480 | − | 14.5769i | −1.29011 | − | 0.744846i | −0.311437 | − | 0.950267i | ||
−0.978674 | + | 0.205421i | ||||||||
0 | 0 | |||||||||
7.20477 | − | 2.39027i | 0.367189 | − | 0.121819i | |||||
3.53892i | 0.180126i | |||||||||
0 | 0 | |||||||||
4.38409 | + | 7.59347i | 0.222568 | + | 0.385500i | |||||
17.0297 | − | 9.83207i | 0.863438 | − | 0.498506i | −0.00172432 | − | 0.999999i | ||
0.865162 | + | 0.501493i | ||||||||
0 | 0 | |||||||||
− | 18.7796i | − | 0.949723i | |||||||
3.63597 | − | 5.98162i | 0.183644 | − | 0.302117i | |||||
0 | 0 | |||||||||
1.18364 | − | 2.05012i | 0.0596309 | − | 0.103284i | |||||
23.6411 | − | 8.14060i | 1.18951 | − | 0.409598i | |||||
0 | 0 | |||||||||
2.84227 | − | 4.92295i | 0.142649 | − | 0.247076i | −0.785844 | − | 0.618425i | ||
0.928493 | + | 0.371349i | ||||||||
− | 3.46410i | − | 0.173640i | |||||||
0 | 0 | |||||||||
−4.63597 | − | 1.87292i | −0.231798 | − | 0.0936460i | |||||
−8.84787 | − | 5.10832i | −0.441842 | − | 0.255097i | 0.262537 | − | 0.964922i | ||
−0.704378 | + | 0.709825i | ||||||||
0 | 0 | |||||||||
−46.0876 | + | 26.6087i | −2.29579 | + | 1.32547i | |||||
0.853270 | − | 1.47791i | 0.0424518 | − | 0.0735286i | |||||
0 | 0 | |||||||||
3.57291 | + | 0.0403355i | 0.177321 | + | 0.00200182i | |||||
12.2328 | 0.606359 | |||||||||
0 | 0 | |||||||||
12.0969 | − | 6.98414i | 0.598153 | − | 0.345344i | −0.170162 | − | 0.985416i | ||
0.768314 | + | 0.640073i | ||||||||
18.4310 | − | 6.34657i | 0.910244 | − | 0.313435i | |||||
0 | 0 | |||||||||
−10.3644 | −0.510617 | |||||||||
3.63333 | + | 2.15275i | 0.178784 | + | 0.105930i | |||||
0 | 0 | |||||||||
−5.49370 | + | 6.31994i | −0.269675 | + | 0.310234i | |||||
−3.07432 | − | 5.32488i | −0.150731 | − | 0.261074i | |||||
0 | 0 | |||||||||
−3.87339 | + | 6.70891i | −0.189454 | + | 0.328144i | |||||
11.3181 | 0.552924 | 0.276462 | − | 0.961025i | ||||||
0.276462 | + | 0.961025i | ||||||||
0 | 0 | |||||||||
−13.9099 | −0.677928 | −0.338964 | − | 0.940799i | ||||||
−0.338964 | + | 0.940799i | ||||||||
7.18100 | − | 12.4379i | 0.349566 | − | 0.605466i | |||||
0 | 0 | |||||||||
3.33413 | + | 5.77488i | 0.161920 | + | 0.280453i | |||||
−20.0791 | − | 25.6988i | −0.973979 | − | 1.24657i | |||||
0 | 0 | |||||||||
16.8090 | + | 0.189761i | 0.813445 | + | 0.00918318i | |||||
−11.5136 | −0.556531 | |||||||||
0 | 0 | |||||||||
3.90115 | + | 11.3293i | 0.188130 | + | 0.546348i | |||||
22.5947 | − | 13.0451i | 1.08835 | − | 0.628359i | 0.155213 | − | 0.987881i | ||
0.933137 | + | 0.359522i | ||||||||
0 | 0 | |||||||||
8.42614 | 0.404935 | 0.202467 | − | 0.979289i | ||||||
0.202467 | + | 0.979289i | ||||||||
11.2251 | + | 19.9594i | 0.538822 | + | 0.958083i | |||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0478913 | + | 0.0829502i | |||||
−15.0542 | + | 8.69157i | −0.720142 | + | 0.415774i | |||||
0 | 0 | |||||||||
−23.9529 | − | 13.8292i | −1.14321 | − | 0.660033i | −0.195987 | − | 0.980606i | ||
−0.947224 | + | 0.320573i | ||||||||
−2.81639 | − | 0.547415i | −0.134266 | − | 0.0260970i | |||||
0 | 0 | |||||||||
− | 40.1049i | − | 1.90759i | |||||||
−1.17861 | + | 2.04142i | −0.0559975 | + | 0.0969906i | −0.892665 | − | 0.450720i | ||
0.836668 | + | 0.547711i | ||||||||
0 | 0 | |||||||||
−7.69458 | + | 2.64956i | −0.364758 | + | 0.125601i | |||||
6.79876 | − | 11.7758i | 0.321931 | − | 0.557600i | |||||
0 | 0 | |||||||||
−2.30608 | + | 1.29693i | −0.108952 | + | 0.0612740i | |||||
− | 12.8021i | − | 0.604169i | −0.953281 | − | 0.302084i | ||||
0.953281 | − | 0.302084i | ||||||||
0 | 0 | |||||||||
9.68696 | − | 5.59277i | 0.456141 | − | 0.263353i | |||||
−6.69375 | − | 11.5939i | −0.314847 | − | 0.545332i | |||||
0 | 0 | |||||||||
− | 12.3559i | − | 0.579893i | |||||||
35.6270 | + | 7.34304i | 1.67022 | + | 0.344247i | |||||
0 | 0 | |||||||||
29.8989 | + | 17.2621i | 1.39861 | + | 0.807488i | 0.994247 | − | 0.107111i | ||
0.404363 | + | 0.914599i | ||||||||
2.09008 | − | 1.20671i | 0.0976628 | − | 0.0563857i | |||||
0 | 0 | |||||||||
−4.85888 | − | 4.22366i | −0.226547 | − | 0.196929i | |||||
20.2692 | 0.944032 | 0.472016 | − | 0.881590i | ||||||
0.472016 | + | 0.881590i | ||||||||
0 | 0 | |||||||||
− | 13.1246i | − | 0.609952i | −0.952360 | − | 0.304976i | ||||
0.952360 | − | 0.304976i | ||||||||
−1.16959 | − | 0.675260i | −0.0542966 | − | 0.0313482i | |||||
0 | 0 | |||||||||
6.43780 | + | 11.1506i | 0.298225 | + | 0.516541i | |||||
1.32647 | + | 0.765836i | 0.0613816 | + | 0.0354387i | 0.530377 | − | 0.847762i | ||
−0.468995 | + | 0.883201i | ||||||||
0 | 0 | |||||||||
−7.27550 | + | 12.2793i | −0.335951 | + | 0.567005i | |||||
1.76954 | + | 0.343941i | 0.0816228 | + | 0.0158648i | |||||
0 | 0 | |||||||||
−0.798110 | − | 1.38237i | −0.0367360 | − | 0.0636286i | |||||
3.43780 | + | 5.95444i | 0.158070 | + | 0.273786i | |||||
0 | 0 | |||||||||
−11.3079 | + | 27.9899i | −0.518840 | + | 1.28426i | |||||
−17.2560 | − | 0.194807i | −0.790927 | − | 0.00892896i | |||||
0 | 0 | |||||||||
−23.6032 | − | 13.6273i | −1.07959 | − | 0.623299i | |||||
14.6585 | + | 25.3893i | 0.669764 | + | 1.16007i | 0.977970 | + | 0.208746i | ||
−0.308205 | + | 0.951320i | ||||||||
0 | 0 | |||||||||
50.7663 | + | 29.3100i | 2.31475 | + | 1.33642i | |||||
2.61759i | 0.119228i | |||||||||
0 | 0 | |||||||||
9.35366 | 0.425166 | |||||||||
14.7972 | + | 12.8627i | 0.671905 | + | 0.584064i | |||||
0 | 0 | |||||||||
−7.09743 | + | 4.09770i | −0.321615 | + | 0.185685i | −0.652112 | − | 0.758122i | ||
0.330497 | + | 0.943807i | ||||||||
−5.50239 | − | 3.17681i | −0.249082 | − | 0.143807i | |||||
0 | 0 | |||||||||
3.33256 | − | 15.2936i | 0.150550 | − | 0.690894i | |||||
− | 40.4383i | − | 1.82495i | −0.409129 | − | 0.912477i | ||||
0.409129 | − | 0.912477i | ||||||||
0 | 0 | |||||||||
−4.40443 | − | 7.62869i | −0.198366 | − | 0.343579i | |||||
−32.1492 | + | 18.5614i | −1.44646 | + | 0.835116i | |||||
0 | 0 | |||||||||
− | 8.65515i | − | 0.388628i | |||||||
−20.3341 | − | 36.1562i | −0.912109 | − | 1.62183i | |||||
0 | 0 | |||||||||
−8.72450 | + | 15.1113i | −0.390562 | + | 0.676474i | −0.992524 | − | 0.122051i | ||
0.601961 | + | 0.798525i | ||||||||
−11.1650 | − | 0.584722i | −0.499316 | − | 0.0261496i | |||||
0 | 0 | |||||||||
−13.3586 | + | 23.1379i | −0.596226 | + | 1.03269i | |||||
− | 1.91949i | − | 0.0855860i | −0.999084 | − | 0.0427930i | ||||
0.999084 | − | 0.0427930i | ||||||||
0 | 0 | |||||||||
0.728069 | − | 3.74584i | 0.0323987 | − | 0.166688i | |||||
−3.19932 | − | 1.84713i | −0.142227 | − | 0.0821149i | |||||
0 | 0 | |||||||||
−4.89575 | + | 2.82656i | −0.217214 | + | 0.125408i | |||||
−5.54549 | + | 9.60508i | −0.245800 | + | 0.425737i | −0.962356 | − | 0.271792i | ||
0.716556 | + | 0.697529i | ||||||||
0 | 0 | |||||||||
28.2631 | + | 16.7459i | 1.25029 | + | 0.740796i | |||||
1.00000 | 0.0441942 | |||||||||
0 | 0 | |||||||||
−9.14632 | + | 5.28063i | −0.403427 | + | 0.232919i | |||||
−21.9128 | + | 7.54547i | −0.965592 | + | 0.332493i | |||||
0 | 0 | |||||||||
1.03440 | 0.0454928 | |||||||||
12.8578 | − | 21.7009i | 0.564941 | − | 0.953484i | |||||
0 | 0 | |||||||||
−10.3764 | − | 9.01988i | −0.455037 | − | 0.395548i | |||||
−19.8706 | − | 34.4168i | −0.870546 | − | 1.50783i | −0.861433 | − | 0.507871i | ||
−0.00911254 | − | 0.999958i | ||||||||
0 | 0 | |||||||||
15.6404 | − | 27.0900i | 0.683907 | − | 1.18456i | −0.289872 | − | 0.957065i | ||
0.973779 | − | 0.227496i | ||||||||
12.4673 | 0.544638 | |||||||||
0 | 0 | |||||||||
−8.33174 | −0.363281 | |||||||||
28.2269 | − | 48.8904i | 1.22958 | − | 2.12970i | |||||
0 | 0 | |||||||||
7.35519 | + | 12.7396i | 0.319791 | + | 0.553894i | |||||
11.2534 | + | 9.78215i | 0.488815 | + | 0.424909i | |||||
0 | 0 | |||||||||
7.83026 | + | 13.9231i | 0.339485 | + | 0.603641i | |||||
53.6013 | 2.32173 | |||||||||
0 | 0 | |||||||||
−24.3424 | + | 8.38211i | −1.05242 | + | 0.362390i | |||||
4.67188 | − | 2.69731i | 0.201795 | − | 0.116506i | |||||
0 | 0 | |||||||||
14.2834 | 0.615802 | |||||||||
0.202767 | − | 8.97941i | 0.00873380 | − | 0.386771i | |||||
0 | 0 | |||||||||
12.3987 | − | 21.4752i | 0.533061 | − | 0.923290i | −0.466193 | − | 0.884683i | ||
0.999254 | − | 0.0386065i | ||||||||
6.58566 | − | 3.80223i | 0.282878 | − | 0.163320i | |||||
0 | 0 | |||||||||
5.64871 | + | 3.26128i | 0.242186 | + | 0.139826i | |||||
−0.853270 | + | 4.38998i | −0.0365501 | + | 0.188046i | |||||
0 | 0 | |||||||||
− | 40.5380i | − | 1.73328i | −0.498934 | − | 0.866640i | ||||
0.498934 | − | 0.866640i | ||||||||
0.0254843 | − | 0.0441401i | 0.00108863 | − | 0.00188557i | |||||
0 | 0 | |||||||||
−6.35304 | + | 0.893021i | −0.270895 | + | 0.0380785i | |||||
−4.07692 | + | 7.06144i | −0.173683 | + | 0.300827i | |||||
0 | 0 | |||||||||
0.333964 | − | 29.5825i | 0.0142016 | − | 1.25798i | |||||
− | 12.0400i | − | 0.511532i | |||||||
0 | 0 | |||||||||
−0.909924 | + | 0.525345i | −0.0385894 | + | 0.0222796i | |||||
11.8732 | + | 20.5650i | 0.503084 | + | 0.871367i | 0.999994 | + | 0.00356477i | ||
−0.496910 | + | 0.867802i | ||||||||
0 | 0 | |||||||||
32.9480i | 1.39355i | |||||||||
−3.93140 | + | 4.42087i | −0.166132 | + | 0.186816i | |||||
0 | 0 | |||||||||
11.0746 | + | 6.39394i | 0.467155 | + | 0.269712i | |||||
7.29944 | − | 4.21434i | 0.307635 | − | 0.177613i | −0.338233 | − | 0.941062i | ||
0.645868 | + | 0.763449i | ||||||||
0 | 0 | |||||||||
−22.5927 | − | 19.6391i | −0.950483 | − | 0.826222i | |||||
−15.5521 | −0.653705 | |||||||||
0 | 0 | |||||||||
15.6787i | 0.657863i | |||||||||
20.3139 | + | 11.7283i | 0.851605 | + | 0.491674i | 0.861192 | − | 0.508280i | ||
−0.00958727 | + | 0.999954i | ||||||||
0 | 0 | |||||||||
−7.67946 | − | 13.3012i | −0.321376 | − | 0.556639i | 0.659397 | − | 0.751795i | ||
−0.980772 | + | 0.195157i | ||||||||
−6.83235 | − | 3.94466i | −0.285675 | − | 0.164934i | |||||
0 | 0 | |||||||||
0.260365 | − | 23.0631i | 0.0108674 | − | 0.962636i | |||||
−13.3477 | − | 5.39245i | −0.556639 | − | 0.224881i | |||||
0 | 0 | |||||||||
−7.12041 | − | 12.3329i | −0.296426 | − | 0.513426i | 0.678889 | − | 0.734241i | ||
−0.975316 | + | 0.220815i | ||||||||
12.7719 | + | 22.1216i | 0.531242 | + | 0.920139i | |||||
0 | 0 | |||||||||
−2.96438 | − | 0.576179i | −0.123089 | − | 0.0239245i | |||||
4.85690 | + | 8.63609i | 0.201498 | + | 0.358285i | |||||
0 | 0 | |||||||||
7.40975 | + | 4.27802i | 0.306881 | + | 0.177178i | |||||
−6.20837 | − | 10.7532i | −0.256904 | − | 0.444971i | |||||
0 | 0 | |||||||||
10.0057 | + | 5.77679i | 0.413331 | + | 0.238637i | |||||
12.5249i | 0.516958i | 0.966017 | + | 0.258479i | ||||||
−0.966017 | + | 0.258479i | ||||||||
0 | 0 | |||||||||
−52.2560 | −2.15317 | |||||||||
−2.69378 | − | 2.34161i | −0.110901 | − | 0.0964025i | |||||
0 | 0 | |||||||||
−8.25652 | + | 4.76690i | −0.339341 | + | 0.195919i | |||||
12.7436 | + | 7.35750i | 0.523316 | + | 0.302136i | 0.738290 | − | 0.674483i | ||
−0.214975 | + | 0.976620i | ||||||||
0 | 0 | |||||||||
−36.6250 | + | 12.1508i | −1.50148 | + | 0.498135i | |||||
8.22305i | 0.336829i | |||||||||
0 | 0 | |||||||||
−8.85148 | − | 15.3312i | −0.361964 | − | 0.626940i | |||||
23.9304 | − | 13.8162i | 0.977769 | − | 0.564515i | 0.0761732 | − | 0.997095i | ||
0.901596 | + | 0.432579i | ||||||||
0 | 0 | |||||||||
− | 8.82137i | − | 0.359831i | −0.983682 | − | 0.179916i | ||||
0.983682 | − | 0.179916i | ||||||||
14.1766 | + | 0.160043i | 0.577794 | + | 0.00652286i | |||||
0 | 0 | |||||||||
2.13357 | − | 3.69546i | 0.0868139 | − | 0.150366i | |||||
19.7758 | − | 6.80963i | 0.804002 | − | 0.276851i | |||||
0 | 0 | |||||||||
−13.2677 | + | 22.9803i | −0.538519 | + | 0.932743i | 0.460465 | + | 0.887678i | ||
−0.998984 | + | 0.0450649i | ||||||||
− | 6.03756i | − | 0.244855i | |||||||
0 | 0 | |||||||||
−13.9461 | − | 2.71067i | −0.564662 | − | 0.109752i | |||||
4.29276 | + | 2.47843i | 0.173667 | + | 0.100266i | |||||
0 | 0 | |||||||||
0.791273 | − | 0.456842i | 0.0319592 | − | 0.0184517i | −0.483935 | − | 0.875104i | ||
0.515894 | + | 0.856652i | ||||||||
1.28809 | − | 2.23103i | 0.0519830 | − | 0.0900371i | |||||
0 | 0 | |||||||||
−1.73046 | + | 2.92060i | −0.0697223 | + | 0.117674i | |||||
−35.0558 | −1.41129 | −0.705646 | − | 0.708565i | ||||||
−0.705646 | + | 0.708565i | ||||||||
0 | 0 | |||||||||
16.5382 | − | 9.54835i | 0.664727 | − | 0.383781i | −0.129348 | − | 0.991599i | ||
0.794076 | + | 0.607819i | ||||||||
−6.30111 | − | 18.2990i | −0.253059 | − | 0.734906i | |||||
0 | 0 | |||||||||
−24.7140 | −0.990942 | |||||||||
−0.108697 | + | 9.62837i | −0.00435485 | + | 0.385753i | |||||
0 | 0 | |||||||||
−24.0312 | + | 6.89212i | −0.961248 | + | 0.275685i | |||||
4.50087 | + | 7.79573i | 0.179891 | + | 0.311580i | |||||
0 | 0 | |||||||||
2.41601 | − | 4.18466i | 0.0964095 | − | 0.166986i | |||||
−62.1849 | −2.47947 | |||||||||
0 | 0 | |||||||||
21.5350 | 0.857296 | 0.428648 | − | 0.903472i | ||||||
0.428648 | + | 0.903472i | ||||||||
−5.59093 | + | 9.68377i | −0.222395 | + | 0.385200i | |||||
0 | 0 | |||||||||
−11.9529 | − | 20.7031i | −0.474712 | − | 0.822225i | |||||
−8.29298 | + | 9.54022i | −0.329097 | + | 0.378592i | |||||
0 | 0 | |||||||||
22.3562 | − | 36.7788i | 0.885786 | − | 1.45723i | |||||
−1.73285 | −0.0686043 | |||||||||
0 | 0 | |||||||||
2.11423 | − | 0.728019i | 0.0835725 | − | 0.0287775i | |||||
28.6767 | − | 16.5565i | 1.13266 | − | 0.653943i | 0.188060 | − | 0.982158i | ||
0.944603 | + | 0.328214i | ||||||||
0 | 0 | |||||||||
−3.31191 | −0.130609 | −0.0653044 | − | 0.997865i | ||||||
−0.0653044 | + | 0.997865i | ||||||||
−6.63958 | + | 3.73407i | −0.261636 | + | 0.147143i | |||||
0 | 0 | |||||||||
19.6902 | − | 34.1044i | 0.774700 | − | 1.34182i | |||||
20.2077 | − | 11.6669i | 0.794447 | − | 0.458674i | −0.0470789 | − | 0.998891i | ||
0.841526 | + | 0.540217i | ||||||||
0 | 0 | |||||||||
−1.77371 | − | 1.02405i | −0.0696244 | − | 0.0401977i | |||||
−28.5049 | − | 11.5159i | −1.11805 | − | 0.451691i | |||||
0 | 0 | |||||||||
− | 10.7532i | − | 0.421128i | |||||||
8.73019 | − | 15.1211i | 0.341639 | − | 0.591735i | −0.643099 | − | 0.765783i | ||
0.984737 | + | 0.174048i | ||||||||
0 | 0 | |||||||||
26.3589 | − | 9.07644i | 1.02993 | − | 0.354646i | |||||
−4.35880 | + | 7.54966i | −0.170182 | + | 0.294765i | |||||
0 | 0 | |||||||||
1.08725 | − | 1.83501i | 0.0423854 | − | 0.0715363i | |||||
1.29864i | 0.0505877i | 0.999680 | + | 0.0252939i | ||||||
−0.999680 | + | 0.0252939i | ||||||||
0 | 0 | |||||||||
4.39869 | − | 2.53959i | 0.171089 | − | 0.0987785i | −0.412010 | − | 0.911179i | ||
0.583099 | + | 0.812401i | ||||||||
−2.18364 | − | 3.78217i | −0.0848695 | − | 0.146998i | |||||
0 | 0 | |||||||||
− | 3.74493i | − | 0.145331i | |||||||
26.6913 | + | 23.7360i | 1.03504 | + | 0.920444i | |||||
0 | 0 | |||||||||
−3.36743 | − | 1.94419i | −0.130387 | − | 0.0752793i | |||||
16.3910 | − | 9.46334i | 0.634186 | − | 0.366147i | |||||
0 | 0 | |||||||||
7.91377 | − | 9.10397i | 0.305735 | − | 0.351717i | |||||
−8.15232 | −0.314717 | |||||||||
0 | 0 | |||||||||
18.4124i | 0.709747i | 0.934914 | + | 0.354873i | ||||||
−0.934914 | + | 0.354873i | ||||||||
−16.9012 | − | 9.75794i | −0.651012 | − | 0.375862i | |||||
0 | 0 | |||||||||
−12.4029 | − | 21.4824i | −0.477033 | − | 0.826246i | |||||
35.7491 | + | 20.6397i | 1.37395 | + | 0.793250i | 0.991423 | − | 0.130695i | ||
0.382526 | + | 0.923945i | ||||||||
0 | 0 | |||||||||
20.2201 | − | 11.3717i | 0.775976 | − | 0.436405i | |||||
14.3170 | + | 2.78275i | 0.549031 | + | 0.106714i | |||||
0 | 0 | |||||||||
−5.55271 | − | 9.61758i | −0.212624 | − | 0.368276i | |||||
−11.4896 | − | 19.9007i | −0.439639 | − | 0.761477i | 0.558022 | − | 0.829826i | ||
−0.997662 | + | 0.0683485i | ||||||||
0 | 0 | |||||||||
0.0217450 | − | 0.111876i | 0.000830833 | − | 0.00427454i | |||||
−15.7163 | − | 9.79790i | −0.600050 | − | 0.374085i | |||||
0 | 0 | |||||||||
−4.64067 | − | 2.67929i | −0.176924 | − | 0.102147i | |||||
20.5004 | + | 35.5077i | 0.781001 | + | 1.35273i | |||||
0 | 0 | |||||||||
11.0048 | + | 6.35361i | 0.418642 | + | 0.241703i | 0.694496 | − | 0.719497i | ||
−0.275854 | + | 0.961199i | ||||||||
11.8435i | 0.450223i | |||||||||
0 | 0 | |||||||||
−26.9147 | −1.02167 | |||||||||
−1.54133 | + | 1.77314i | −0.0584661 | + | 0.0672592i | |||||
0 | 0 | |||||||||
−49.2431 | + | 28.4305i | −1.86522 | + | 1.07688i | |||||
8.99116 | + | 5.19105i | 0.340320 | + | 0.196484i | |||||
0 | 0 | |||||||||
−5.09342 | + | 12.2089i | −0.192513 | + | 0.461453i | |||||
− | 26.5441i | − | 1.00256i | −0.865286 | − | 0.501279i | ||||
0.865286 | − | 0.501279i | ||||||||
0 | 0 | |||||||||
28.7804 | + | 49.8492i | 1.08548 | + | 1.88010i | |||||
1.11120 | − | 0.641550i | 0.0418798 | − | 0.0241793i | |||||
0 | 0 | |||||||||
− | 0.168951i | − | 0.00635856i | |||||||
−3.88444 | − | 2.30154i | −0.146089 | − | 0.0865582i | |||||
0 | 0 | |||||||||
−21.1766 | + | 36.6789i | −0.795303 | + | 1.37751i | 0.127343 | + | 0.991859i | ||
−0.922646 | + | 0.385647i | ||||||||
11.4144 | + | 33.1484i | 0.428374 | + | 1.24404i | |||||
0 | 0 | |||||||||
1.81971 | − | 3.15183i | 0.0681964 | − | 0.118120i | |||||
− | 24.9196i | − | 0.933248i | |||||||
0 | 0 | |||||||||
−17.3170 | − | 3.36586i | −0.647618 | − | 0.125876i | |||||
3.27843 | + | 1.89280i | 0.122521 | + | 0.0707374i | |||||
0 | 0 | |||||||||
32.6198 | − | 18.8330i | 1.21736 | − | 0.702843i | |||||
11.9507 | − | 20.6992i | 0.445686 | − | 0.771951i | −0.552413 | − | 0.833570i | ||
0.998100 | + | 0.0616189i | ||||||||
0 | 0 | |||||||||
−0.309550 | + | 27.4199i | −0.0115282 | + | 1.02117i | |||||
−17.4521 | −0.649499 | |||||||||
0 | 0 | |||||||||
−16.4574 | + | 9.50166i | −0.611633 | + | 0.353126i | |||||
−6.68686 | + | 0.939945i | −0.248344 | + | 0.0349087i | |||||
0 | 0 | |||||||||
−22.4529 | −0.832731 | −0.416365 | − | 0.909197i | ||||||
−0.416365 | + | 0.909197i | ||||||||
−14.1792 | + | 7.97433i | −0.525517 | + | 0.295548i | |||||
0 | 0 | |||||||||
−20.9545 | − | 18.2150i | −0.775560 | − | 0.674168i | |||||
−17.4759 | − | 30.2691i | −0.646368 | − | 1.11954i | |||||
0 | 0 | |||||||||
13.7725 | − | 23.8547i | 0.508700 | − | 0.881094i | −0.491249 | − | 0.871019i | ||
0.999949 | − | 0.0100750i | ||||||||
15.1557 | 0.559409 | |||||||||
0 | 0 | |||||||||
2.87917 | 0.106128 | |||||||||
3.46092 | − | 5.99449i | 0.127485 | − | 0.220810i | |||||
0 | 0 | |||||||||
−15.5456 | − | 26.9258i | −0.571856 | − | 0.990483i | −0.996375 | − | 0.0850646i | ||
0.424520 | − | 0.905419i | ||||||||
−13.9858 | + | 16.0893i | −0.514129 | + | 0.591453i | |||||
0 | 0 | |||||||||
15.3775 | − | 8.64824i | 0.564526 | − | 0.317487i | |||||
1.12610 | 0.0413127 | 0.0206564 | − | 0.999787i | ||||||
0.0206564 | + | 0.999787i | ||||||||
0 | 0 | |||||||||
5.98654 | + | 17.3855i | 0.219330 | + | 0.636954i | |||||
10.4270 | − | 6.02002i | 0.381759 | − | 0.220409i | |||||
0 | 0 | |||||||||
8.36910 | 0.306005 | |||||||||
−0.343872 | + | 30.4602i | −0.0125648 | + | 1.11299i | |||||
0 | 0 | |||||||||
4.77108 | − | 8.26375i | 0.174099 | − | 0.301549i | −0.765750 | − | 0.643138i | ||
0.939849 | + | 0.341590i | ||||||||
−0.698165 | + | 0.403086i | −0.0254595 | + | 0.0146990i | |||||
0 | 0 | |||||||||
−7.19135 | − | 4.15193i | −0.261894 | − | 0.151204i | |||||
1.82051 | − | 9.36635i | 0.0662553 | − | 0.340876i | |||||
0 | 0 | |||||||||
33.1687i | 1.20554i | 0.797917 | + | 0.602768i | ||||||
−0.797917 | + | 0.602768i | ||||||||
−9.04589 | + | 15.6679i | −0.328562 | + | 0.569085i | |||||
0 | 0 | |||||||||
−4.39545 | − | 12.7648i | −0.159440 | − | 0.463028i | |||||
−2.17122 | + | 3.76067i | −0.0787068 | + | 0.136324i | −0.902692 | − | 0.430287i | ||
0.823985 | + | 0.566611i | ||||||||
0 | 0 | |||||||||
4.55242 | + | 2.69731i | 0.164809 | + | 0.0976493i | |||||
2.82843i | 0.102329i | |||||||||
0 | 0 | |||||||||
25.2480 | − | 14.5769i | 0.912246 | − | 0.526685i | |||||
−4.90729 | − | 8.49967i | −0.177192 | − | 0.306905i | |||||
0 | 0 | |||||||||
46.1795i | 1.66528i | 0.553818 | + | 0.832638i | ||||||
−0.553818 | + | 0.832638i | ||||||||
−1.53235 | + | 7.43465i | −0.0552220 | + | 0.267926i | |||||
0 | 0 | |||||||||
−3.06479 | − | 1.76946i | −0.110304 | − | 0.0636842i | |||||
15.5663 | − | 8.98723i | 0.559883 | − | 0.323248i | −0.193216 | − | 0.981156i | ||
0.753098 | + | 0.657908i | ||||||||
0 | 0 | |||||||||
−26.6441 | − | 34.1011i | −0.957083 | − | 1.22495i | |||||
−8.76818 | −0.314759 | |||||||||
0 | 0 | |||||||||
19.6641i | 0.704994i | |||||||||
45.5815 | + | 26.3165i | 1.63313 | + | 0.942886i | |||||
0 | 0 | |||||||||
10.0587 | + | 17.4221i | 0.359927 | + | 0.623412i | |||||
16.2636 | + | 9.38978i | 0.581584 | + | 0.335778i | |||||
0 | 0 | |||||||||
3.36225 | + | 6.13965i | 0.120080 | + | 0.219273i | |||||
2.06151 | − | 10.6063i | 0.0735785 | − | 0.378554i | |||||
0 | 0 | |||||||||
−6.92087 | − | 11.9873i | −0.246702 | − | 0.427301i | 0.715907 | − | 0.698196i | ||
−0.962609 | + | 0.270895i | ||||||||
1.18364 | + | 2.05012i | 0.0421654 | + | 0.0730326i | |||||
0 | 0 | |||||||||
−4.77057 | + | 24.5441i | −0.169729 | + | 0.873239i | |||||
−30.8726 | + | 17.3626i | −1.09770 | + | 0.617342i | |||||
0 | 0 | |||||||||
−33.8322 | − | 19.5330i | −1.20142 | − | 0.693638i | |||||
2.84227 | + | 4.92295i | 0.100868 | + | 0.174709i | |||||
0 | 0 | |||||||||
3.00000 | + | 1.73205i | 0.106332 | + | 0.0613909i | |||||
− | 7.46138i | − | 0.264296i | −0.991230 | − | 0.132148i | ||||
0.991230 | − | 0.132148i | ||||||||
0 | 0 | |||||||||
−5.25831 | −0.186026 | |||||||||
3.93998 | − | 3.07840i | 0.139299 | − | 0.108838i | |||||
0 | 0 | |||||||||
8.84787 | − | 5.10832i | 0.312429 | − | 0.180381i | |||||
−13.7974 | − | 7.96596i | −0.486901 | − | 0.281113i | |||||
0 | 0 | |||||||||
−11.3192 | + | 12.7284i | −0.398948 | + | 0.448618i | |||||
− | 53.2174i | − | 1.87450i | |||||||
0 | 0 | |||||||||
0.853270 | + | 1.47791i | 0.0300179 | + | 0.0519926i | |||||
1.28750 | − | 0.743340i | 0.0452662 | − | 0.0261344i | −0.477196 | − | 0.878797i | ||
0.522462 | + | 0.852662i | ||||||||
0 | 0 | |||||||||
31.5494i | 1.10785i | 0.832567 | + | 0.553925i | ||||||
−0.832567 | + | 0.553925i | ||||||||
−1.82139 | + | 3.07407i | −0.0639182 | + | 0.107879i | |||||
0 | 0 | |||||||||
−6.11641 | + | 10.5939i | −0.214380 | + | 0.371317i | |||||
−7.82854 | − | 22.7348i | −0.274222 | − | 0.796366i | |||||
0 | 0 | |||||||||
−16.1764 | + | 28.0183i | −0.565940 | + | 0.980237i | |||||
13.9683i | 0.488390i | |||||||||
0 | 0 | |||||||||
−3.71923 | + | 19.1350i | −0.129881 | + | 0.668224i | |||||
27.5430 | + | 15.9020i | 0.961257 | + | 0.554982i | 0.896560 | − | 0.442923i | ||
0.0646976 | + | 0.997905i | ||||||||
0 | 0 | |||||||||
31.7287 | − | 18.3186i | 1.10599 | − | 0.638545i | 0.168204 | − | 0.985752i | ||
0.937788 | + | 0.347207i | ||||||||
5.18220 | − | 8.97583i | 0.180530 | − | 0.312688i | |||||
0 | 0 | |||||||||
−3.68100 | + | 2.07018i | −0.128078 | + | 0.0720308i | |||||
−21.9864 | −0.764541 | −0.382271 | − | 0.924050i | ||||||
−0.382271 | + | 0.924050i | ||||||||
0 | 0 | |||||||||
−21.0498 | + | 12.1531i | −0.731090 | + | 0.422095i | −0.818821 | − | 0.574049i | ||
0.0877305 | + | 0.996144i | ||||||||
−2.72638 | − | 7.91766i | −0.0946339 | − | 0.274826i | |||||
0 | 0 | |||||||||
6.14864 | 0.213166 | |||||||||
−1.03076 | + | 45.6463i | −0.0357136 | + | 1.58155i | |||||
0 | 0 | |||||||||
27.7649 | − | 31.9406i | 0.960844 | − | 1.10535i | |||||
−3.87339 | − | 6.70891i | −0.133964 | − | 0.232033i | |||||
0 | 0 | |||||||||
−5.65904 | + | 9.80175i | −0.195488 | + | 0.338596i | |||||
−27.3914 | −0.945655 | −0.472827 | − | 0.881155i | ||||||
−0.472827 | + | 0.881155i | ||||||||
0 | 0 | |||||||||
27.1761 | 0.937107 | |||||||||
6.95496 | − | 12.0463i | 0.239684 | − | 0.415145i | |||||
0 | 0 | |||||||||
7.18100 | + | 12.4379i | 0.247180 | + | 0.428129i | |||||
−41.8622 | − | 36.3893i | −1.44010 | − | 1.25183i | |||||
0 | 0 | |||||||||
0.279362 | − | 24.7459i | 0.00959899 | − | 0.850278i | |||||
−6.66826 | −0.228989 | |||||||||
0 | 0 | |||||||||
32.2953 | − | 4.53962i | 1.10772 | − | 0.155708i | |||||
−23.7719 | + | 13.7247i | −0.814890 | + | 0.470477i | |||||
0 | 0 | |||||||||
22.6073 | 0.774060 | 0.387030 | − | 0.922067i | ||||||
0.387030 | + | 0.922067i | ||||||||
−8.56884 | + | 14.4622i | −0.293220 | + | 0.494885i | |||||
0 | 0 | |||||||||
5.75680 | − | 9.97106i | 0.196763 | − | 0.340804i | |||||
−41.4461 | + | 23.9289i | −1.41577 | + | 0.817396i | −0.995924 | − | 0.0901984i | ||
−0.419848 | + | 0.907595i | ||||||||
0 | 0 | |||||||||
41.5770 | + | 24.0045i | 1.41859 | + | 0.819022i | 0.996175 | − | 0.0873810i | ||
0.422413 | + | 0.906403i | ||||||||
−11.7620 | − | 2.28616i | −0.401082 | − | 0.0779574i | |||||
0 | 0 | |||||||||
26.0901i | 0.888634i | |||||||||
−23.7785 | + | 41.1855i | −0.809428 | + | 1.40197i | 0.103832 | + | 0.994595i | ||
−0.913260 | + | 0.407376i | ||||||||
0 | 0 | |||||||||
8.62231 | + | 25.0400i | 0.293167 | + | 0.851386i | |||||
−4.21307 | + | 7.29726i | −0.143166 | + | 0.247971i | |||||
0 | 0 | |||||||||
−22.8979 | − | 0.258500i | −0.777206 | − | 0.00877406i | |||||
14.3474i | 0.486703i | |||||||||
0 | 0 | |||||||||
28.7257 | − | 16.5848i | 0.973334 | − | 0.561955i | |||||
−1.00000 | − | 1.73205i | −0.0338643 | − | 0.0586546i | |||||
0 | 0 | |||||||||
− | 17.3831i | − | 0.587993i | |||||||
−1.88039 | + | 29.5206i | −0.0635689 | + | 0.997977i | |||||
0 | 0 | |||||||||
32.0433 | + | 18.5002i | 1.08202 | + | 0.624707i | 0.931442 | − | 0.363890i | ||
0.150583 | + | 0.988597i | ||||||||
23.9529 | − | 13.8292i | 0.808372 | − | 0.466714i | |||||
0 | 0 | |||||||||
1.88227 | − | 2.16536i | 0.0634513 | − | 0.0729942i | |||||
5.97213 | 0.201206 | 0.100603 | − | 0.994927i | ||||||
0.100603 | + | 0.994927i | ||||||||
0 | 0 | |||||||||
− | 11.0589i | − | 0.372163i | −0.982534 | − | 0.186081i | ||||
0.982534 | − | 0.186081i | ||||||||
34.7319 | + | 20.0524i | 1.16816 | + | 0.674437i | |||||
0 | 0 | |||||||||
−1.17861 | − | 2.04142i | −0.0395962 | − | 0.0685827i | |||||
−5.15346 | − | 2.97535i | −0.173036 | − | 0.0999026i | 0.410980 | − | 0.911644i | ||
−0.584017 | + | 0.811742i | ||||||||
0 | 0 | |||||||||
7.33169 | + | 13.0365i | 0.245897 | + | 0.437231i | |||||
1.55270 | − | 7.98848i | 0.0520467 | − | 0.267774i | |||||
0 | 0 | |||||||||
6.79876 | + | 11.7758i | 0.227639 | + | 0.394283i | |||||
2.43365 | + | 4.21521i | 0.0814391 | + | 0.141057i | |||||
0 | 0 | |||||||||
8.30937 | + | 1.61507i | 0.277752 | + | 0.0539859i | |||||
0.0298666 | − | 2.64558i | 0.000997774 | − | 0.0883827i | |||||
0 | 0 | |||||||||
11.0869 | + | 6.40105i | 0.369976 | + | 0.213606i | |||||
−5.84448 | − | 10.1229i | −0.194924 | − | 0.337619i | |||||
0 | 0 | |||||||||
−37.6671 | − | 21.7471i | −1.25487 | − | 0.724500i | |||||
11.1855i | 0.372438i | |||||||||
0 | 0 | |||||||||
13.3875 | 0.445261 | |||||||||
−27.8773 | + | 32.0700i | −0.926674 | + | 1.06604i | |||||
0 | 0 | |||||||||
47.9037 | − | 27.6572i | 1.59062 | − | 0.918343i | 0.597415 | − | 0.801932i | ||
0.993201 | − | 0.116411i | ||||||||
10.7006 | + | 6.17797i | 0.355110 | + | 0.205023i | |||||
0 | 0 | |||||||||
−24.1727 | + | 27.1823i | −0.801319 | + | 0.901086i | |||||
− | 35.2080i | − | 1.16649i | −0.812295 | − | 0.583246i | ||||
0.812295 | − | 0.583246i | ||||||||
0 | 0 | |||||||||
−2.40256 | − | 4.16135i | −0.0795131 | − | 0.137721i | |||||
−29.8989 | + | 17.2621i | −0.988966 | + | 0.570980i | |||||
0 | 0 | |||||||||
2.41341i | 0.0797414i | |||||||||
0.372357 | − | 32.9833i | 0.0122963 | − | 1.08921i | |||||
0 | 0 | |||||||||
25.4437 | − | 44.0698i | 0.839311 | − | 1.45373i | −0.0511601 | − | 0.998690i | ||
0.890471 | − | 0.455039i | ||||||||
6.08724 | − | 2.09609i | 0.200690 | − | 0.0691060i | |||||
0 | 0 | |||||||||
−10.1346 | + | 17.5537i | −0.333766 | + | 0.578099i | |||||
96.4026i | 3.17313i | |||||||||
0 | 0 | |||||||||
−17.8560 | + | 44.1984i | −0.587103 | + | 1.45323i | |||||
11.3662 | + | 6.56230i | 0.373518 | + | 0.215651i | |||||
0 | 0 | |||||||||
1.16959 | − | 0.675260i | 0.0383935 | − | 0.0221665i | |||||
29.8405 | − | 51.6853i | 0.979036 | − | 1.69574i | 0.313118 | − | 0.949714i | ||
0.665918 | − | 0.746025i | ||||||||
0 | 0 | |||||||||
37.0685 | − | 20.2998i | 1.21487 | − | 0.665298i | |||||
−12.8756 | −0.421754 | |||||||||
0 | 0 | |||||||||
−1.32647 | + | 0.765836i | −0.0434033 | + | 0.0250589i | |||||
17.6942 | − | 6.09286i | 0.578664 | − | 0.199258i | |||||
0 | 0 | |||||||||
24.2579 | 0.792471 | 0.396235 | − | 0.918149i | ||||||
0.396235 | + | 0.918149i | ||||||||
−6.99643 | − | 12.4404i | −0.228442 | − | 0.406194i | |||||
0 | 0 | |||||||||
−1.18263 | + | 1.36050i | −0.0385732 | + | 0.0443745i | |||||
15.0539 | + | 26.0742i | 0.490744 | + | 0.849994i | 0.999943 | − | 0.0106549i | ||
−0.509199 | + | 0.860649i | ||||||||
0 | 0 | |||||||||
−12.5497 | + | 21.7367i | −0.408675 | + | 0.707845i | |||||
1.59622 | 0.0519525 | |||||||||
0 | 0 | |||||||||
−6.87560 | −0.223545 | |||||||||
23.0812 | − | 39.9779i | 0.750039 | − | 1.29911i | −0.197764 | − | 0.980250i | ||
0.947803 | − | 0.318857i | ||||||||
0 | 0 | |||||||||
−38.1730 | − | 66.1176i | −1.23915 | − | 2.14627i | |||||
−18.5860 | − | 23.7878i | −0.603011 | − | 0.771779i | |||||
0 | 0 | |||||||||
8.79670 | − | 14.8467i | 0.285103 | − | 0.481185i | |||||
23.7121 | 0.768110 | 0.384055 | − | 0.923310i | ||||||
0.384055 | + | 0.923310i | ||||||||
0 | 0 | |||||||||
2.05915 | + | 5.97996i | 0.0666324 | + | 0.193507i | |||||
23.6032 | − | 13.6273i | 0.763382 | − | 0.440739i | |||||
0 | 0 | |||||||||
−29.3170 | −0.947190 | |||||||||
−0.116015 | − | 0.0687391i | −0.00374632 | − | 0.00221970i | |||||
0 | 0 | |||||||||
21.9558 | − | 38.0286i | 0.708252 | − | 1.22673i | |||||
−50.7663 | + | 29.3100i | −1.63677 | + | 0.944991i | |||||
0 | 0 | |||||||||
−2.26690 | − | 1.30880i | −0.0730120 | − | 0.0421535i | |||||
−7.76789 | − | 1.50983i | −0.250057 | − | 0.0486030i | |||||
0 | 0 | |||||||||
0.0922780i | 0.00296746i | 0.999999 | + | 0.00148373i | ||||||
−0.999999 | + | 0.00148373i | ||||||||
−4.67683 | + | 8.10050i | −0.150319 | + | 0.260360i | |||||
0 | 0 | |||||||||
−18.5380 | + | 6.38340i | −0.595219 | + | 0.204959i | |||||
19.8502 | − | 34.3816i | 0.637024 | − | 1.10336i | −0.349058 | − | 0.937101i | ||
0.986082 | − | 0.166257i | ||||||||
0 | 0 | |||||||||
1.36267 | + | 2.42297i | 0.0436851 | + | 0.0776769i | |||||
− | 8.19540i | − | 0.262598i | |||||||
0 | 0 | |||||||||
5.50239 | − | 3.17681i | 0.176127 | − | 0.101687i | |||||
−18.4035 | − | 31.8758i | −0.588779 | − | 1.01980i | −0.994393 | − | 0.105751i | ||
0.405613 | − | 0.914045i | ||||||||
0 | 0 | |||||||||
− | 4.66973i | − | 0.149245i | |||||||
11.5784 | + | 10.5329i | 0.369857 | + | 0.336460i | |||||
0 | 0 | |||||||||
35.0206 | + | 20.2191i | 1.11755 | + | 0.645218i | |||||
−54.1899 | + | 31.2865i | −1.72839 | + | 0.997885i | −0.831693 | + | 0.555235i | ||
−0.896694 | + | 0.442650i | ||||||||
0 | 0 | |||||||||
3.99502 | + | 3.47273i | 0.127292 | + | 0.110650i | |||||
8.80886 | 0.280531 | |||||||||
0 | 0 | |||||||||
− | 37.1227i | − | 1.18103i | |||||||
−13.3613 | − | 7.71414i | −0.424864 | − | 0.245295i | |||||
0 | 0 | |||||||||
17.4019 | + | 30.1410i | 0.552791 | + | 0.957462i | 0.998072 | + | 0.0620708i | ||
−0.445281 | + | 0.895391i | ||||||||
7.49558 | + | 4.32758i | 0.237985 | + | 0.137401i | |||||
0 | 0 | |||||||||
41.4793 | + | 0.468269i | 1.31564 | + | 0.0148526i | |||||
7.60367 | + | 1.47791i | 0.241053 | + | 0.0468528i | |||||
0 | 0 | |||||||||
−24.4316 | − | 42.3167i | −0.773755 | − | 1.34018i | −0.935492 | − | 0.353349i | ||
0.161736 | − | 0.986834i | ||||||||
−8.72450 | − | 15.1113i | −0.276169 | − | 0.478339i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 630.2.bo.a.89.3 | yes | 16 | |
3.2 | odd | 2 | 630.2.bo.b.89.6 | yes | 16 | ||
5.2 | odd | 4 | 3150.2.bf.f.1601.7 | 32 | |||
5.3 | odd | 4 | 3150.2.bf.f.1601.10 | 32 | |||
5.4 | even | 2 | 630.2.bo.b.89.8 | yes | 16 | ||
7.2 | even | 3 | 4410.2.d.b.4409.8 | 16 | |||
7.3 | odd | 6 | inner | 630.2.bo.a.269.1 | yes | 16 | |
7.5 | odd | 6 | 4410.2.d.b.4409.9 | 16 | |||
15.2 | even | 4 | 3150.2.bf.f.1601.9 | 32 | |||
15.8 | even | 4 | 3150.2.bf.f.1601.8 | 32 | |||
15.14 | odd | 2 | inner | 630.2.bo.a.89.1 | ✓ | 16 | |
21.2 | odd | 6 | 4410.2.d.a.4409.9 | 16 | |||
21.5 | even | 6 | 4410.2.d.a.4409.8 | 16 | |||
21.17 | even | 6 | 630.2.bo.b.269.8 | yes | 16 | ||
35.3 | even | 12 | 3150.2.bf.f.1151.8 | 32 | |||
35.9 | even | 6 | 4410.2.d.a.4409.7 | 16 | |||
35.17 | even | 12 | 3150.2.bf.f.1151.9 | 32 | |||
35.19 | odd | 6 | 4410.2.d.a.4409.10 | 16 | |||
35.24 | odd | 6 | 630.2.bo.b.269.6 | yes | 16 | ||
105.17 | odd | 12 | 3150.2.bf.f.1151.7 | 32 | |||
105.38 | odd | 12 | 3150.2.bf.f.1151.10 | 32 | |||
105.44 | odd | 6 | 4410.2.d.b.4409.10 | 16 | |||
105.59 | even | 6 | inner | 630.2.bo.a.269.3 | yes | 16 | |
105.89 | even | 6 | 4410.2.d.b.4409.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.bo.a.89.1 | ✓ | 16 | 15.14 | odd | 2 | inner | |
630.2.bo.a.89.3 | yes | 16 | 1.1 | even | 1 | trivial | |
630.2.bo.a.269.1 | yes | 16 | 7.3 | odd | 6 | inner | |
630.2.bo.a.269.3 | yes | 16 | 105.59 | even | 6 | inner | |
630.2.bo.b.89.6 | yes | 16 | 3.2 | odd | 2 | ||
630.2.bo.b.89.8 | yes | 16 | 5.4 | even | 2 | ||
630.2.bo.b.269.6 | yes | 16 | 35.24 | odd | 6 | ||
630.2.bo.b.269.8 | yes | 16 | 21.17 | even | 6 | ||
3150.2.bf.f.1151.7 | 32 | 105.17 | odd | 12 | |||
3150.2.bf.f.1151.8 | 32 | 35.3 | even | 12 | |||
3150.2.bf.f.1151.9 | 32 | 35.17 | even | 12 | |||
3150.2.bf.f.1151.10 | 32 | 105.38 | odd | 12 | |||
3150.2.bf.f.1601.7 | 32 | 5.2 | odd | 4 | |||
3150.2.bf.f.1601.8 | 32 | 15.8 | even | 4 | |||
3150.2.bf.f.1601.9 | 32 | 15.2 | even | 4 | |||
3150.2.bf.f.1601.10 | 32 | 5.3 | odd | 4 | |||
4410.2.d.a.4409.7 | 16 | 35.9 | even | 6 | |||
4410.2.d.a.4409.8 | 16 | 21.5 | even | 6 | |||
4410.2.d.a.4409.9 | 16 | 21.2 | odd | 6 | |||
4410.2.d.a.4409.10 | 16 | 35.19 | odd | 6 | |||
4410.2.d.b.4409.7 | 16 | 105.89 | even | 6 | |||
4410.2.d.b.4409.8 | 16 | 7.2 | even | 3 | |||
4410.2.d.b.4409.9 | 16 | 7.5 | odd | 6 | |||
4410.2.d.b.4409.10 | 16 | 105.44 | odd | 6 |