Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(31,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 637.bc (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 31.19 | ||
Character | 637.31 | ||
Dual form | 637.2.bc.c.411.19 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.43251 | + | 0.383841i | 1.01294 | + | 0.271417i | 0.726858 | − | 0.686788i | ||
0.286083 | + | 0.958205i | ||||||||
−0.765995 | − | 0.442247i | −0.442247 | − | 0.255332i | 0.262303 | − | 0.964986i | ||
−0.704550 | + | 0.709654i | ||||||||
0.172712 | + | 0.0997153i | 0.0863560 | + | 0.0498576i | |||||
−1.01546 | + | 3.78973i | −0.454126 | + | 1.69482i | 0.236519 | + | 0.971627i | ||
−0.690645 | + | 0.723194i | ||||||||
−0.927546 | − | 0.927546i | −0.378669 | − | 0.378669i | |||||
0 | 0 | |||||||||
−1.88821 | − | 1.88821i | −0.667583 | − | 0.667583i | |||||
−1.10883 | − | 1.92056i | −0.369612 | − | 0.640186i | |||||
−2.90931 | + | 5.03907i | −0.920005 | + | 1.59350i | |||||
−2.51265 | + | 0.673262i | −0.757592 | + | 0.202996i | −0.616883 | − | 0.787055i | ||
−0.140709 | + | 0.990051i | ||||||||
−0.0881976 | − | 0.152763i | −0.0254605 | − | 0.0440988i | |||||
−3.36514 | − | 1.29454i | −0.933322 | − | 0.359041i | |||||
0 | 0 | |||||||||
2.45383 | − | 2.45383i | 0.633577 | − | 0.633577i | |||||
−2.17954 | − | 3.77508i | −0.544886 | − | 0.943770i | |||||
−0.680066 | + | 1.17791i | −0.164940 | + | 0.285685i | −0.936634 | − | 0.350309i | ||
0.771694 | + | 0.635994i | ||||||||
−0.851232 | − | 3.17684i | −0.200637 | − | 0.748789i | |||||
0.828597 | − | 3.09237i | 0.190093 | − | 0.709437i | −0.803389 | − | 0.595454i | ||
0.993483 | − | 0.113984i | ||||||||
−0.553276 | + | 0.553276i | −0.123716 | + | 0.123716i | |||||
0 | 0 | |||||||||
−3.85783 | −0.822492 | |||||||||
−1.39284 | + | 0.804158i | −0.290428 | + | 0.167679i | −0.638135 | − | 0.769925i | ||
0.347707 | + | 0.937603i | ||||||||
0.611303 | + | 2.28141i | 0.124782 | + | 0.465692i | |||||
−9.00081 | − | 5.19662i | −1.80016 | − | 1.03932i | |||||
−4.32371 | − | 3.14612i | −0.847950 | − | 0.617006i | |||||
4.61500i | 0.888157i | |||||||||
0 | 0 | |||||||||
9.34669 | 1.73564 | 0.867818 | − | 0.496882i | ||||||
0.867818 | + | 0.496882i | ||||||||
4.45703 | − | 2.57327i | 0.813739 | − | 0.469813i | |||||
−8.22399 | + | 2.20361i | −1.47707 | + | 0.395781i | −0.905350 | − | 0.424666i | ||
−0.571723 | + | 0.820447i | ||||||||
−0.290932 | − | 1.08577i | −0.0514300 | − | 0.191939i | |||||
2.22242 | + | 0.595497i | 0.386874 | + | 0.103663i | |||||
−1.42633 | + | 1.42633i | −0.244614 | + | 0.244614i | |||||
0 | 0 | |||||||||
− | 0.442271i | − | 0.0737118i | |||||||
−1.24632 | + | 4.65133i | −0.204894 | + | 0.764673i | 0.784588 | + | 0.620017i | ||
−0.989482 | + | 0.144656i | ||||||||
2.37395 | − | 4.11181i | 0.385106 | − | 0.667023i | |||||
2.00517 | + | 2.47983i | 0.321085 | + | 0.397091i | |||||
9.07320 | − | 5.23842i | 1.43460 | − | 0.828266i | |||||
−2.14628 | − | 2.14628i | −0.335192 | − | 0.335192i | 0.519362 | − | 0.854554i | ||
−0.854554 | + | 0.519362i | ||||||||
0 | 0 | |||||||||
11.5495i | 1.76128i | 0.473786 | + | 0.880640i | ||||||
−0.473786 | + | 0.880640i | ||||||||
−0.501099 | − | 0.134269i | −0.0755435 | − | 0.0202418i | |||||
8.40438 | − | 2.25195i | 1.25285 | − | 0.335700i | |||||
−2.30394 | + | 0.617338i | −0.339697 | + | 0.0910215i | |||||
−9.58391 | − | 2.56800i | −1.39796 | − | 0.374582i | −0.520347 | − | 0.853955i | ||
−0.877611 | + | 0.479374i | ||||||||
3.85559i | 0.556507i | |||||||||
0 | 0 | |||||||||
−10.8991 | − | 10.8991i | −1.54137 | − | 1.54137i | |||||
1.04185 | − | 0.601515i | 0.145889 | − | 0.0842289i | |||||
−0.452114 | − | 0.559138i | −0.0626970 | − | 0.0775385i | |||||
1.51173 | − | 2.61840i | 0.207652 | − | 0.359665i | −0.743322 | − | 0.668934i | ||
0.950975 | + | 0.309269i | ||||||||
−1.77143 | + | 6.61105i | −0.241061 | + | 0.899650i | |||||
− | 10.2059i | − | 1.37617i | |||||||
0 | 0 | |||||||||
−2.00229 | + | 2.00229i | −0.265210 | + | 0.265210i | |||||
13.3893 | + | 3.58764i | 1.75810 | + | 0.471080i | |||||
0.0670618 | + | 0.250278i | 0.00873071 | + | 0.0325834i | 0.970154 | − | 0.242491i | ||
−0.961423 | + | 0.275074i | ||||||||
0.668491 | − | 0.179122i | 0.0863018 | − | 0.0231245i | |||||
−0.288679 | + | 0.166669i | −0.0369616 | + | 0.0213398i | −0.518367 | − | 0.855158i | ||
0.481405 | + | 0.876498i | ||||||||
−12.6268 | −1.60361 | |||||||||
0 | 0 | |||||||||
7.05112i | 0.881390i | |||||||||
8.32311 | − | 11.4384i | 1.03236 | − | 1.41876i | |||||
2.95508 | + | 1.70611i | 0.363745 | + | 0.210008i | |||||
0.272292 | + | 1.01621i | 0.0332658 | + | 0.124150i | 0.980562 | − | 0.196209i | ||
−0.947296 | + | 0.320359i | ||||||||
−0.234911 | + | 0.135626i | −0.0284871 | + | 0.0164471i | |||||
1.42255 | 0.171255 | |||||||||
0 | 0 | |||||||||
−0.333748 | + | 0.333748i | −0.0396086 | + | 0.0396086i | −0.726634 | − | 0.687025i | ||
0.687025 | + | 0.726634i | ||||||||
−1.53270 | + | 5.72013i | −0.180631 | + | 0.674123i | |||||
2.17380 | + | 8.11275i | 0.254425 | + | 0.949525i | 0.968410 | + | 0.249365i | ||
−0.713985 | + | 0.700161i | ||||||||
−3.57074 | + | 6.18470i | −0.415090 | + | 0.718957i | |||||
4.59638 | + | 7.96117i | 0.530744 | + | 0.919276i | |||||
0.451465 | − | 0.451465i | 0.0517866 | − | 0.0517866i | |||||
0 | 0 | |||||||||
1.92058 | + | 4.32207i | 0.217462 | + | 0.489378i | |||||
−1.45162 | − | 2.51428i | −0.163320 | − | 0.282878i | 0.772738 | − | 0.634726i | ||
−0.936057 | + | 0.351847i | ||||||||
16.5198 | − | 4.42646i | 1.84697 | − | 0.494894i | |||||
−1.28553 | + | 2.22661i | −0.142837 | + | 0.247401i | |||||
−2.25074 | − | 3.89840i | −0.248553 | − | 0.430506i | |||||
3.84570 | + | 3.84570i | 0.422120 | + | 0.422120i | 0.885933 | − | 0.463813i | ||
−0.463813 | + | 0.885933i | ||||||||
0 | 0 | |||||||||
−3.77338 | − | 3.77338i | −0.409281 | − | 0.409281i | |||||
−4.43317 | + | 16.5448i | −0.478041 | + | 1.78407i | |||||
−7.15951 | − | 4.13355i | −0.767580 | − | 0.443163i | |||||
6.01566 | + | 3.47314i | 0.641272 | + | 0.370238i | |||||
7.14176 | + | 1.91363i | 0.757025 | + | 0.202844i | 0.616632 | − | 0.787251i | ||
0.140393 | + | 0.990096i | ||||||||
12.9038 | 1.36018 | |||||||||
0 | 0 | |||||||||
−0.320747 | −0.0334402 | |||||||||
7.27408 | + | 1.94908i | 0.754287 | + | 0.202111i | |||||
−12.7434 | − | 7.35740i | −1.31438 | − | 0.758858i | |||||
10.8778 | + | 6.28033i | 1.11604 | + | 0.644348i | |||||
−0.257328 | + | 0.960361i | −0.0262634 | + | 0.0980164i | |||||
7.45885 | + | 7.45885i | 0.757332 | + | 0.757332i | 0.975836 | − | 0.218504i | ||
−0.218504 | + | 0.975836i | ||||||||
0 | 0 | |||||||||
4.07915 | + | 4.07915i | 0.409970 | + | 0.409970i | |||||
−1.03636 | − | 1.79504i | −0.103636 | − | 0.179504i | |||||
0.104651 | − | 0.181261i | 0.0104132 | − | 0.0180362i | −0.860772 | − | 0.508991i | ||
0.871185 | + | 0.490955i | ||||||||
1.72336 | − | 0.461772i | 0.170638 | − | 0.0457222i | |||||
−8.17798 | − | 14.1647i | −0.805800 | − | 1.39569i | −0.915749 | − | 0.401750i | ||
0.109949 | − | 0.993937i | ||||||||
3.90973 | + | 8.79845i | 0.383380 | + | 0.862759i | |||||
0 | 0 | |||||||||
3.17063 | − | 3.17063i | 0.307958 | − | 0.307958i | |||||
−8.52958 | − | 14.7737i | −0.824585 | − | 1.42822i | −0.902236 | − | 0.431243i | ||
0.0776502 | − | 0.996981i | ||||||||
−0.460186 | + | 0.797066i | −0.0442814 | + | 0.0766977i | |||||
−1.81493 | − | 6.77341i | −0.173839 | − | 0.648775i | −0.996747 | − | 0.0806001i | ||
0.822908 | − | 0.568175i | ||||||||
3.91746 | − | 14.6201i | 0.373515 | − | 1.39398i | |||||
3.01171 | − | 3.01171i | 0.285859 | − | 0.285859i | |||||
0 | 0 | |||||||||
4.56982 | 0.429892 | 0.214946 | − | 0.976626i | ||||||
0.214946 | + | 0.976626i | ||||||||
−3.63687 | + | 2.09975i | −0.340624 | + | 0.196660i | |||||
−1.63318 | − | 6.09509i | −0.152294 | − | 0.568370i | |||||
1.61428 | + | 0.932007i | 0.149883 | + | 0.0865347i | |||||
1.24515 | + | 7.89838i | 0.115114 | + | 0.730205i | |||||
0.384268i | 0.0353747i | |||||||||
0 | 0 | |||||||||
−9.26670 | −0.845930 | |||||||||
−3.66616 | + | 2.11666i | −0.333287 | + | 0.192424i | |||||
−0.477511 | + | 0.127949i | −0.0432318 | + | 0.0115839i | |||||
0.694851 | + | 2.59322i | 0.0626526 | + | 0.233823i | |||||
−1.64012 | − | 0.439468i | −0.147287 | − | 0.0394654i | |||||
14.9623 | − | 14.9623i | 1.33827 | − | 1.33827i | |||||
0 | 0 | |||||||||
− | 10.4126i | − | 0.923968i | −0.886888 | − | 0.461984i | ||||
0.886888 | − | 0.461984i | ||||||||
−3.28837 | + | 12.2724i | −0.290654 | + | 1.08473i | |||||
5.10773 | − | 8.84684i | 0.449710 | − | 0.778921i | |||||
16.3135 | − | 13.1910i | 1.43079 | − | 1.15692i | |||||
15.1481 | − | 8.74577i | 1.32350 | − | 0.764121i | 0.339212 | − | 0.940710i | ||
0.984285 | + | 0.176589i | ||||||||
0.324459 | + | 0.324459i | 0.0282405 | + | 0.0282405i | |||||
0 | 0 | |||||||||
1.56025i | 0.134785i | |||||||||
−17.4896 | − | 4.68633i | −1.50527 | − | 0.403335i | |||||
3.50824 | − | 0.940031i | 0.300829 | − | 0.0806070i | |||||
19.4448 | − | 5.21021i | 1.66128 | − | 0.445138i | 0.698540 | − | 0.715571i | ||
0.962739 | + | 0.270433i | ||||||||
2.03782 | + | 0.546032i | 0.173471 | + | 0.0464813i | |||||
− | 14.6578i | − | 1.24326i | −0.783310 | − | 0.621631i | ||||
0.783310 | − | 0.621631i | ||||||||
0 | 0 | |||||||||
6.20554 | + | 6.20554i | 0.522600 | + | 0.522600i | |||||
−0.606204 | + | 0.349992i | −0.0508715 | + | 0.0293707i | |||||
9.32698 | + | 0.987101i | 0.779961 | + | 0.0825455i | |||||
−4.83351 | + | 8.37188i | −0.402792 | + | 0.697657i | |||||
−9.49115 | + | 35.4215i | −0.788197 | + | 2.94159i | |||||
12.4560i | 1.03087i | |||||||||
0 | 0 | |||||||||
−0.679062 | + | 0.679062i | −0.0558186 | + | 0.0558186i | |||||
−21.1240 | − | 5.66017i | −1.73055 | − | 0.463699i | −0.750239 | − | 0.661166i | ||
−0.980310 | + | 0.197467i | ||||||||
3.52856 | + | 13.1688i | 0.288106 | + | 1.07523i | |||||
−13.0689 | + | 3.50181i | −1.06353 | + | 0.284973i | −0.747834 | − | 0.663886i | ||
−0.315700 | + | 0.948859i | ||||||||
−7.40360 | + | 4.27447i | −0.600511 | + | 0.346705i | |||||
3.01632 | 0.243855 | |||||||||
0 | 0 | |||||||||
− | 33.4044i | − | 2.68311i | |||||||
0.0990399 | + | 0.628243i | 0.00792954 | + | 0.0502997i | |||||
−11.1379 | − | 6.43044i | −0.888897 | − | 0.513205i | −0.0153156 | − | 0.999883i | ||
−0.873582 | + | 0.486678i | ||||||||
−1.11438 | − | 4.15893i | −0.0886554 | − | 0.330867i | |||||
−2.31596 | + | 1.33712i | −0.183667 | + | 0.106040i | |||||
4.41022 | 0.348659 | |||||||||
0 | 0 | |||||||||
−2.69621 | + | 2.69621i | −0.211834 | + | 0.211834i | |||||
−2.77257 | + | 10.3474i | −0.217164 | + | 0.810468i | 0.768229 | + | 0.640175i | ||
−0.985393 | + | 0.170293i | ||||||||
−0.156671 | − | 0.584704i | −0.0122339 | − | 0.0456577i | |||||
−4.51355 | + | 7.81769i | −0.351379 | + | 0.608607i | |||||
4.03288 | + | 6.98516i | 0.313012 | + | 0.542153i | |||||
−6.07140 | + | 6.07140i | −0.469819 | + | 0.469819i | −0.901856 | − | 0.432037i | ||
0.432037 | + | 0.901856i | ||||||||
0 | 0 | |||||||||
9.64834 | + | 8.71261i | 0.742180 | + | 0.670201i | |||||
−3.95705 | − | 6.85380i | −0.303492 | − | 0.525663i | |||||
−6.85785 | + | 1.83755i | −0.524433 | + | 0.140521i | |||||
−1.15166 | + | 1.99473i | −0.0878132 | + | 0.152097i | |||||
1.77614 | + | 3.07637i | 0.135037 | + | 0.233892i | 0.925612 | − | 0.378474i | ||
−0.790574 | + | 0.612366i | ||||||||
−8.66948 | − | 8.66948i | −0.657232 | − | 0.657232i | |||||
0 | 0 | |||||||||
8.01805 | + | 8.01805i | 0.604383 | + | 0.604383i | |||||
0.0593158 | − | 0.221370i | 0.00445845 | − | 0.0166392i | |||||
9.49615 | + | 5.48260i | 0.711766 | + | 0.410938i | |||||
14.9201 | + | 8.61412i | 1.11518 | + | 0.643850i | 0.940166 | − | 0.340716i | ||
0.175014 | + | 0.984566i | ||||||||
1.67609 | + | 0.449107i | 0.124928 | + | 0.0334744i | |||||
−6.21868 | −0.462231 | −0.231115 | − | 0.972926i | ||||||
−0.231115 | + | 0.972926i | ||||||||
0 | 0 | |||||||||
0.294836 | 0.0217949 | |||||||||
4.14840 | + | 1.11156i | 0.305824 | + | 0.0819453i | |||||
−16.3617 | − | 9.44644i | −1.20294 | − | 0.694516i | |||||
9.67208 | + | 5.58418i | 0.709192 | + | 0.409452i | |||||
0.915725 | − | 3.41753i | 0.0669644 | − | 0.249915i | |||||
−1.39919 | − | 1.39919i | −0.102046 | − | 0.102046i | |||||
0 | 0 | |||||||||
13.1720 | + | 13.1720i | 0.955599 | + | 0.955599i | |||||
6.15368 | + | 10.6585i | 0.445264 | + | 0.771221i | 0.998071 | − | 0.0620893i | ||
−0.552806 | + | 0.833310i | ||||||||
3.11834 | − | 5.40112i | 0.225047 | − | 0.389792i | |||||
−20.7241 | + | 5.55301i | −1.49176 | + | 0.399715i | −0.910329 | − | 0.413885i | ||
−0.581426 | + | 0.813599i | ||||||||
7.82190 | + | 13.5479i | 0.561579 | + | 0.972684i | |||||
−11.4341 | + | 5.08091i | −0.818812 | + | 0.363852i | |||||
0 | 0 | |||||||||
−1.42501 | + | 1.42501i | −0.101528 | + | 0.101528i | −0.756046 | − | 0.654518i | ||
0.654518 | + | 0.756046i | ||||||||
4.27769 | + | 7.40918i | 0.304002 | + | 0.526548i | |||||
−3.33814 | + | 5.78184i | −0.236635 | + | 0.409863i | −0.959747 | − | 0.280868i | ||
0.723112 | + | 0.690731i | ||||||||
7.18310 | + | 26.8077i | 0.507922 | + | 1.89559i | |||||
0.240841 | − | 0.898832i | 0.0169876 | − | 0.0633987i | |||||
0.219490 | − | 0.219490i | 0.0154432 | − | 0.0154432i | |||||
0 | 0 | |||||||||
0.239921 | 0.0167978 | |||||||||
10.3133 | − | 5.95437i | 0.720310 | − | 0.415871i | |||||
−6.27809 | − | 23.4301i | −0.437415 | − | 1.63246i | |||||
3.08886 | + | 1.78336i | 0.214691 | + | 0.123952i | |||||
2.44748 | + | 15.5252i | 0.169702 | + | 1.07648i | |||||
8.32789i | 0.576052i | |||||||||
0 | 0 | |||||||||
−18.9896 | −1.30730 | −0.653648 | − | 0.756798i | ||||||
−0.653648 | + | 0.756798i | ||||||||
0.522188 | − | 0.301486i | 0.0358640 | − | 0.0207061i | |||||
0.403248 | − | 0.108050i | 0.0276301 | − | 0.00740346i | |||||
−6.54800 | − | 24.4375i | −0.447612 | − | 1.67051i | |||||
−43.7695 | − | 11.7280i | −2.98505 | − | 0.799843i | |||||
8.71408 | − | 8.71408i | 0.592918 | − | 0.592918i | |||||
0 | 0 | |||||||||
− | 10.3996i | − | 0.704353i | |||||||
1.92272 | − | 7.17568i | 0.129925 | − | 0.484888i | |||||
1.01769 | − | 1.76269i | 0.0686125 | − | 0.118840i | |||||
3.81337 | − | 3.08346i | 0.256515 | − | 0.207416i | |||||
5.47034 | − | 3.15830i | 0.367145 | − | 0.211971i | |||||
−2.04467 | − | 2.04467i | −0.136921 | − | 0.136921i | 0.635324 | − | 0.772245i | ||
−0.772245 | + | 0.635324i | ||||||||
0 | 0 | |||||||||
23.0488i | 1.53658i | |||||||||
6.54633 | + | 1.75408i | 0.435455 | + | 0.116680i | |||||
−6.34006 | + | 1.69881i | −0.420805 | + | 0.112754i | −0.463007 | − | 0.886355i | ||
0.0422019 | + | 0.999109i | ||||||||
−0.545479 | + | 0.146161i | −0.0361252 | + | 0.00967972i | |||||
1.37763 | + | 0.369136i | 0.0910366 | + | 0.0243932i | 0.304050 | − | 0.952656i | ||
−0.213013 | + | 0.977049i | ||||||||
− | 9.35819i | − | 0.617060i | |||||||
0 | 0 | |||||||||
−17.6485 | − | 17.6485i | −1.15868 | − | 1.15868i | |||||
−7.35621 | + | 4.24711i | −0.481921 | + | 0.278237i | −0.721217 | − | 0.692709i | ||
0.239295 | + | 0.970947i | ||||||||
−1.24803 | + | 11.7925i | −0.0815864 | + | 0.770898i | |||||
19.4641 | − | 33.7128i | 1.26970 | − | 2.19918i | |||||
−0.0133742 | + | 0.0499131i | −0.000870585 | + | 0.00324907i | |||||
2.56790i | 0.166803i | |||||||||
0 | 0 | |||||||||
−4.64810 | + | 4.64810i | −0.300661 | + | 0.300661i | −0.841272 | − | 0.540612i | ||
0.540612 | + | 0.841272i | ||||||||
−14.6117 | − | 3.91518i | −0.943179 | − | 0.252724i | |||||
2.79130 | + | 10.4173i | 0.179803 | + | 0.671034i | 0.995683 | + | 0.0928137i | ||
−0.815880 | + | 0.578221i | ||||||||
−6.06429 | + | 1.62492i | −0.389827 | + | 0.104454i | |||||
13.9595 | − | 8.05955i | 0.895505 | − | 0.517020i | |||||
−0.0664778 | −0.00425580 | |||||||||
0 | 0 | |||||||||
3.98154i | 0.253854i | |||||||||
−6.79154 | + | 9.33359i | −0.432135 | + | 0.593882i | |||||
19.6895 | + | 11.3677i | 1.25028 | + | 0.721852i | |||||
−1.24504 | − | 4.64654i | −0.0789009 | − | 0.294462i | |||||
27.1769 | − | 15.6906i | 1.71882 | − | 0.992361i | |||||
−28.0524 | −1.77065 | −0.885327 | − | 0.464968i | ||||||
−0.885327 | + | 0.464968i | ||||||||
0 | 0 | |||||||||
2.95831 | − | 2.95831i | 0.185988 | − | 0.185988i | |||||
3.99678 | − | 14.9162i | 0.250780 | − | 0.935925i | |||||
1.22162 | + | 4.55916i | 0.0765010 | + | 0.285506i | |||||
−2.37016 | + | 4.10524i | −0.148135 | + | 0.256578i | |||||
−7.06032 | − | 12.2288i | −0.440411 | − | 0.762813i | 0.557309 | − | 0.830305i | ||
−0.997720 | + | 0.0674915i | ||||||||
10.7127 | − | 10.7127i | 0.666942 | − | 0.666942i | |||||
0 | 0 | |||||||||
2.57809 | − | 1.14561i | 0.159886 | − | 0.0710479i | |||||
−10.3639 | − | 17.9509i | −0.641511 | − | 1.11113i | |||||
25.0569 | − | 6.71397i | 1.54802 | − | 0.414790i | |||||
−11.1615 | + | 19.3323i | −0.688248 | + | 1.19208i | 0.284157 | + | 0.958778i | ||
−0.972404 | + | 0.233302i | ||||||||
−3.07198 | − | 5.32082i | −0.189067 | − | 0.327474i | |||||
8.38793 | + | 8.38793i | 0.515267 | + | 0.515267i | |||||
0 | 0 | |||||||||
−4.62426 | − | 4.62426i | −0.283000 | − | 0.283000i | |||||
−0.0543034 | + | 0.202663i | −0.00331711 | + | 0.0123796i | |||||
−10.2451 | − | 5.91503i | −0.624656 | − | 0.360645i | 0.154023 | − | 0.988067i | ||
−0.778680 | + | 0.627422i | ||||||||
−23.2553 | − | 13.4265i | −1.41527 | − | 0.817109i | |||||
−4.77450 | − | 1.27932i | −0.290030 | − | 0.0777134i | 0.110870 | − | 0.993835i | ||
−0.400901 | + | 0.916121i | ||||||||
5.92893 | 0.359494 | |||||||||
0 | 0 | |||||||||
29.8548 | 1.80359 | |||||||||
26.1145 | + | 6.99737i | 1.57477 | + | 0.421957i | |||||
0.245691 | + | 0.141850i | 0.0147889 | + | 0.00853835i | |||||
0.730512 | + | 0.421761i | 0.0438922 | + | 0.0253412i | 0.521786 | − | 0.853077i | ||
−0.477893 | + | 0.878418i | ||||||||
5.62628 | − | 20.9976i | 0.337442 | − | 1.25935i | |||||
13.3512 | + | 13.3512i | 0.799316 | + | 0.799316i | |||||
0 | 0 | |||||||||
−6.80029 | − | 6.80029i | −0.405671 | − | 0.405671i | 0.474555 | − | 0.880226i | ||
−0.880226 | + | 0.474555i | ||||||||
6.50758 | + | 11.2715i | 0.387521 | + | 0.671206i | |||||
9.91175 | − | 17.1677i | 0.589192 | − | 1.02051i | −0.405146 | − | 0.914252i | ||
0.994338 | − | 0.106259i | ||||||||
−0.0909219 | + | 0.0243625i | −0.00539522 | + | 0.00144565i | |||||
−5.55491 | − | 9.62139i | −0.329045 | − | 0.569922i | |||||
12.9821 | + | 4.99411i | 0.767650 | + | 0.295308i | |||||
0 | 0 | |||||||||
−1.76270 | + | 1.76270i | −0.103868 | + | 0.103868i | |||||
7.57502 | + | 13.1203i | 0.445589 | + | 0.771784i | |||||
−27.1924 | + | 47.0987i | −1.59679 | + | 2.76573i | |||||
−2.41478 | − | 9.01210i | −0.141557 | − | 0.528299i | |||||
−0.433523 | + | 1.61793i | −0.0253700 | + | 0.0946822i | |||||
−6.47711 | + | 6.47711i | −0.378397 | + | 0.378397i | −0.870524 | − | 0.492127i | ||
0.492127 | + | 0.870524i | ||||||||
0 | 0 | |||||||||
−1.01659 | −0.0591879 | |||||||||
11.1360 | − | 6.42936i | 0.647266 | − | 0.373699i | |||||
−3.10710 | − | 11.5959i | −0.180292 | − | 0.672861i | |||||
−28.0879 | − | 16.2165i | −1.62709 | − | 0.939399i | |||||
5.72813 | − | 0.903015i | 0.331266 | − | 0.0522227i | |||||
1.83332i | 0.105847i | |||||||||
0 | 0 | |||||||||
−20.0656 | −1.15464 | |||||||||
−0.160325 | + | 0.0925634i | −0.00921040 | + | 0.00531763i | |||||
−13.4799 | + | 3.61193i | −0.773125 | + | 0.207158i | |||||
−0.338490 | − | 1.26326i | −0.0193819 | − | 0.0723342i | |||||
4.32092 | + | 1.15779i | 0.247011 | + | 0.0661863i | |||||
−17.9487 | + | 17.9487i | −1.02438 | + | 1.02438i | −0.0246898 | + | 0.999695i | ||
−0.999695 | + | 0.0246898i | ||||||||
0 | 0 | |||||||||
14.4668i | 0.822985i | |||||||||
12.8220 | − | 47.8523i | 0.728240 | − | 2.71783i | |||||
6.73937 | − | 11.6729i | 0.382155 | − | 0.661912i | −0.609215 | − | 0.793005i | ||
0.991370 | + | 0.131093i | ||||||||
0.896260 | − | 8.46863i | 0.0507407 | − | 0.479442i | |||||
5.61548 | − | 3.24210i | 0.317406 | − | 0.183254i | −0.332830 | − | 0.942987i | ||
0.650236 | + | 0.759733i | ||||||||
−13.4869 | − | 13.4869i | −0.761108 | − | 0.761108i | |||||
0 | 0 | |||||||||
− | 0.578994i | − | 0.0325710i | |||||||
30.2378 | + | 8.10220i | 1.69833 | + | 0.455065i | 0.972517 | − | 0.232832i | ||
0.725808 | + | 0.687897i | ||||||||
−3.83088 | + | 1.02648i | −0.214825 | + | 0.0575623i | |||||
−23.4849 | + | 6.29277i | −1.31490 | + | 0.352327i | |||||
−26.7219 | − | 7.16010i | −1.49380 | − | 0.400262i | |||||
15.0887i | 0.842171i | |||||||||
0 | 0 | |||||||||
3.07902 | + | 3.07902i | 0.171322 | + | 0.171322i | |||||
−0.444054 | + | 0.256374i | −0.0246696 | + | 0.0142430i | |||||
23.5618 | + | 29.1393i | 1.30697 | + | 1.61636i | |||||
−7.94348 | + | 13.7585i | −0.439949 | + | 0.762013i | |||||
−1.60530 | + | 5.99104i | −0.0887730 | + | 0.331306i | |||||
8.10523i | 0.447537i | |||||||||
0 | 0 | |||||||||
−9.46647 | + | 9.46647i | −0.521112 | + | 0.521112i | |||||
12.0897 | + | 3.23943i | 0.664512 | + | 0.178055i | 0.575281 | − | 0.817956i | ||
0.0892305 | + | 0.996011i | ||||||||
0.280723 | + | 1.04767i | 0.0154067 | + | 0.0574985i | |||||
10.3151 | − | 2.76392i | 0.565264 | − | 0.151462i | |||||
−11.0278 | + | 6.36691i | −0.603415 | + | 0.348382i | |||||
−4.12767 | −0.225518 | |||||||||
0 | 0 | |||||||||
− | 4.54349i | − | 0.247500i | −0.992313 | − | 0.123750i | ||||
0.992313 | − | 0.123750i | ||||||||
10.4771 | + | 16.1844i | 0.569880 | + | 0.880314i | |||||
−3.50046 | − | 2.02099i | −0.190119 | − | 0.109765i | |||||
−0.275444 | − | 1.02797i | −0.0149381 | − | 0.0557496i | |||||
19.1804 | − | 11.0738i | 1.03868 | − | 0.599680i | |||||
−10.5293 | −0.569359 | |||||||||
0 | 0 | |||||||||
21.8078 | − | 21.8078i | 1.17580 | − | 1.17580i | |||||
−1.44453 | + | 5.39108i | −0.0777711 | + | 0.290246i | |||||
1.36351 | + | 5.08869i | 0.0733028 | + | 0.273570i | |||||
5.56642 | − | 9.64133i | 0.298821 | − | 0.517574i | −0.677045 | − | 0.735941i | ||
0.975867 | + | 0.218368i | ||||||||
−0.824356 | − | 1.42783i | −0.0441901 | − | 0.0765395i | |||||
16.7058 | − | 16.7058i | 0.894240 | − | 0.894240i | −0.100679 | − | 0.994919i | ||
0.994919 | + | 0.100679i | ||||||||
0 | 0 | |||||||||
5.97430 | − | 15.5301i | 0.318885 | − | 0.828937i | |||||
1.46202 | + | 2.53229i | 0.0779259 | + | 0.134972i | |||||
5.91578 | − | 1.58513i | 0.314865 | − | 0.0843678i | −0.0979257 | − | 0.995194i | ||
0.412791 | + | 0.910826i | ||||||||
0.169942 | − | 0.294347i | 0.00903229 | − | 0.0156444i | |||||
−0.925909 | − | 1.60372i | −0.0491421 | − | 0.0851167i | |||||
1.04265 | + | 1.04265i | 0.0552603 | + | 0.0552603i | |||||
0 | 0 | |||||||||
18.0668 | + | 18.0668i | 0.954860 | + | 0.954860i | |||||
5.62963 | − | 21.0100i | 0.297120 | − | 1.10887i | −0.642399 | − | 0.766371i | ||
0.939519 | − | 0.342497i | ||||||||
−20.1214 | − | 11.6171i | −1.06049 | − | 0.612274i | |||||
7.57833 | + | 4.37535i | 0.398859 | + | 0.230282i | |||||
−8.90835 | − | 2.38698i | −0.468212 | − | 0.125457i | |||||
3.74435 | 0.196527 | |||||||||
0 | 0 | |||||||||
−32.9526 | −1.72482 | |||||||||
0.422356 | + | 0.113170i | 0.0220769 | + | 0.00591549i | |||||
14.0740 | + | 8.12564i | 0.734658 | + | 0.424155i | 0.820124 | − | 0.572186i | ||
−0.0854660 | + | 0.996341i | ||||||||
6.07153 | + | 3.50540i | 0.316500 | + | 0.182731i | |||||
−1.74218 | + | 6.50191i | −0.0906944 | + | 0.338476i | |||||
−19.8124 | − | 19.8124i | −1.03000 | − | 1.03000i | |||||
0 | 0 | |||||||||
1.06197 | + | 1.06197i | 0.0550604 | + | 0.0550604i | |||||
−2.10783 | − | 3.65087i | −0.109139 | − | 0.189035i | 0.806283 | − | 0.591531i | ||
−0.915422 | + | 0.402496i | ||||||||
2.62358 | − | 4.54417i | 0.135662 | − | 0.234973i | |||||
−18.0781 | + | 4.84402i | −0.933551 | + | 0.250144i | |||||
13.2475 | + | 22.9454i | 0.683188 | + | 1.18332i | |||||
−31.4529 | − | 12.0997i | −1.61991 | − | 0.623164i | |||||
0 | 0 | |||||||||
18.1305 | − | 18.1305i | 0.931303 | − | 0.931303i | −0.0664849 | − | 0.997787i | ||
0.997787 | + | 0.0664849i | ||||||||
1.25249 | + | 2.16937i | 0.0642513 | + | 0.111287i | |||||
−4.60494 | + | 7.97599i | −0.235918 | + | 0.408623i | |||||
4.72407 | + | 17.6305i | 0.241704 | + | 0.902053i | |||||
−6.07450 | + | 22.6703i | −0.310392 | + | 1.15840i | 0.617811 | + | 0.786327i | ||
−0.928203 | + | 0.372073i | ||||||||
7.94630 | − | 7.94630i | 0.405508 | − | 0.405508i | |||||
0 | 0 | |||||||||
−31.8191 | −1.61955 | |||||||||
22.1815 | − | 12.8065i | 1.12755 | − | 0.650989i | |||||
0.544471 | + | 2.03199i | 0.0276413 | + | 0.103159i | |||||
−16.8646 | − | 9.73676i | −0.855067 | − | 0.493673i | 0.00729024 | − | 0.999973i | ||
−0.862357 | + | 0.506300i | ||||||||
−18.3297 | + | 2.88961i | −0.928163 | + | 0.146321i | |||||
− | 2.18752i | − | 0.110628i | |||||||
0 | 0 | |||||||||
−15.4712 | −0.780417 | |||||||||
−2.58833 | + | 1.49437i | −0.130398 | + | 0.0752855i | |||||
11.0025 | − | 2.94811i | 0.553596 | − | 0.148336i | |||||
0.297764 | + | 1.11127i | 0.0149632 | + | 0.0558435i | |||||
11.5515 | + | 3.09522i | 0.579755 | + | 0.155345i | 0.536767 | − | 0.843731i | ||
0.0429883 | + | 0.999076i | ||||||||
−7.00124 | + | 7.00124i | −0.350941 | + | 0.350941i | |||||
0 | 0 | |||||||||
45.3051i | 2.26525i | |||||||||
−2.43214 | + | 9.07687i | −0.121455 | + | 0.453277i | −0.999689 | − | 0.0249551i | ||
0.878233 | + | 0.478233i | ||||||||
0.690017 | − | 1.19514i | 0.0344149 | − | 0.0596084i | |||||
30.5276 | + | 3.23082i | 1.52069 | + | 0.160939i | |||||
0.0361490 | − | 0.0208706i | 0.00179848 | − | 0.00103835i | |||||
−7.13285 | − | 7.13285i | −0.354434 | − | 0.354434i | |||||
0 | 0 | |||||||||
− | 12.5262i | − | 0.620903i | |||||||
−3.10302 | − | 0.831452i | −0.153623 | − | 0.0411630i | |||||
−18.6466 | + | 4.99635i | −0.922017 | + | 0.247054i | −0.688447 | − | 0.725286i | ||
−0.233570 | + | 0.972340i | ||||||||
17.0594 | − | 4.57106i | 0.842505 | − | 0.225749i | |||||
−17.1988 | − | 4.60840i | −0.848354 | − | 0.227316i | |||||
− | 3.26188i | − | 0.160701i | |||||||
0 | 0 | |||||||||
3.74032 | + | 3.74032i | 0.183827 | + | 0.183827i | |||||
−18.4793 | + | 10.6690i | −0.907114 | + | 0.523723i | |||||
−0.426549 | + | 4.03040i | −0.0209133 | + | 0.197607i | |||||
−6.48239 | + | 11.2278i | −0.317444 | + | 0.549829i | |||||
−3.19659 | + | 11.9298i | −0.156350 | + | 0.583507i | |||||
− | 24.1967i | − | 1.18208i | −0.806641 | − | 0.591042i | ||||
0.806641 | − | 0.591042i | ||||||||
0 | 0 | |||||||||
−16.9872 | + | 16.9872i | −0.827906 | + | 0.827906i | −0.987227 | − | 0.159321i | ||
0.159321 | + | 0.987227i | ||||||||
−27.2028 | − | 7.28898i | −1.32421 | − | 0.354822i | |||||
5.69498 | + | 21.2540i | 0.276899 | + | 1.03340i | |||||
−7.79855 | + | 2.08961i | −0.378731 | + | 0.101481i | |||||
12.2423 | − | 7.06809i | 0.593838 | − | 0.342853i | |||||
0.619132 | 0.0299971 | |||||||||
0 | 0 | |||||||||
− | 3.40212i | − | 0.164448i | |||||||
−6.70787 | − | 4.88094i | −0.323859 | − | 0.235654i | |||||
−58.1987 | − | 33.6010i | −2.80659 | − | 1.62039i | |||||
−7.10522 | − | 26.5171i | −0.342247 | − | 1.27728i | −0.895796 | − | 0.444465i | ||
0.553549 | − | 0.832816i | ||||||||
17.4220 | − | 10.0586i | 0.838216 | − | 0.483945i | |||||
26.0271 | 1.25078 | 0.625391 | − | 0.780312i | ||||||
0.625391 | + | 0.780312i | ||||||||
0 | 0 | |||||||||
22.9352 | − | 22.9352i | 1.09966 | − | 1.09966i | |||||
0.361952 | − | 1.35082i | 0.0173344 | − | 0.0646928i | |||||
1.33265 | + | 4.97350i | 0.0637491 | + | 0.237915i | |||||
5.50864 | − | 9.54125i | 0.263213 | − | 0.455899i | |||||
1.85272 | + | 3.20901i | 0.0884257 | + | 0.153158i | 0.906846 | − | 0.421463i | ||
−0.818420 | + | 0.574620i | ||||||||
−19.2709 | + | 19.2709i | −0.918706 | + | 0.918706i | |||||
0 | 0 | |||||||||
6.64626 | − | 2.95337i | 0.316130 | − | 0.140477i | |||||
−1.34404 | − | 2.32795i | −0.0638573 | − | 0.110604i | 0.832329 | − | 0.554282i | ||
−0.896187 | + | 0.443678i | ||||||||
0.820472 | − | 0.219845i | 0.0389379 | − | 0.0104334i | |||||
−14.5043 | + | 25.1222i | −0.687570 | + | 1.19091i | |||||
−2.14419 | − | 3.71384i | −0.101530 | − | 0.175855i | |||||
13.6777 | + | 13.6777i | 0.646934 | + | 0.646934i | |||||
0 | 0 | |||||||||
24.6366 | + | 24.6366i | 1.16267 | + | 1.16267i | 0.983888 | + | 0.178784i | ||
0.178784 | + | 0.983888i | ||||||||
−8.84706 | + | 33.0177i | −0.417054 | + | 1.55647i | |||||
6.83784 | + | 3.94783i | 0.321981 | + | 0.185896i | |||||
0.789262 | + | 0.455681i | 0.0371238 | + | 0.0214334i | |||||
11.5594 | + | 3.09733i | 0.543108 | + | 0.145525i | |||||
−9.73430 | −0.456854 | |||||||||
0 | 0 | |||||||||
7.56149 | 0.354099 | |||||||||
−6.58491 | − | 1.76442i | −0.308029 | − | 0.0825361i | 0.101493 | − | 0.994836i | ||
−0.409522 | + | 0.912300i | ||||||||
1.83179 | + | 1.05758i | 0.0855939 | + | 0.0494177i | |||||
−5.43605 | − | 3.13850i | −0.253733 | − | 0.146493i | |||||
0.325705 | − | 1.21555i | 0.0151861 | − | 0.0566752i | |||||
−5.06375 | − | 5.06375i | −0.235842 | − | 0.235842i | 0.579284 | − | 0.815126i | ||
−0.815126 | + | 0.579284i | ||||||||
0 | 0 | |||||||||
−14.8196 | − | 14.8196i | −0.688725 | − | 0.688725i | 0.273226 | − | 0.961950i | ||
−0.961950 | + | 0.273226i | ||||||||
−20.3715 | − | 35.2845i | −0.945724 | − | 1.63804i | |||||
−14.7730 | + | 25.5876i | −0.685082 | + | 1.18660i | |||||
−12.1681 | + | 3.26043i | −0.563676 | + | 0.151036i | |||||
0.228257 | + | 0.395352i | 0.0105625 | + | 0.0182947i | 0.871258 | − | 0.490825i | ||
−0.860696 | + | 0.509119i | ||||||||
−0.572537 | + | 1.48830i | −0.0264655 | + | 0.0687969i | |||||
0 | 0 | |||||||||
40.8229 | − | 40.8229i | 1.88302 | − | 1.88302i | |||||
5.68769 | + | 9.85137i | 0.262075 | + | 0.453927i | |||||
0.345951 | − | 0.599204i | 0.0159237 | − | 0.0275806i | |||||
−7.77583 | − | 29.0198i | −0.357533 | − | 1.33433i | |||||
−0.985664 | + | 3.67855i | −0.0452731 | + | 0.168961i | |||||
−23.5279 | + | 23.5279i | −1.07953 | + | 1.07953i | |||||
0 | 0 | |||||||||
−6.70504 | −0.307003 | |||||||||
−8.44260 | + | 4.87434i | −0.386155 | + | 0.222947i | |||||
−8.50540 | − | 31.7426i | −0.388622 | − | 1.45036i | −0.832378 | − | 0.554209i | ||
0.443756 | − | 0.896148i | ||||||||
−3.37821 | − | 1.95041i | −0.154193 | − | 0.0890236i | |||||
10.2154 | − | 14.0390i | 0.465780 | − | 0.640121i | |||||
15.9943i | 0.728519i | |||||||||
0 | 0 | |||||||||
−0.844253 | −0.0383751 | |||||||||
−35.8412 | + | 20.6929i | −1.62747 | + | 0.939617i | |||||
23.0908 | − | 6.18717i | 1.04742 | − | 0.280656i | |||||
2.99178 | + | 11.1655i | 0.135571 | + | 0.505956i | 0.999995 | + | 0.00319321i | ||
−0.864424 | + | 0.502763i | ||||||||
0.859792 | + | 0.230381i | 0.0389210 | + | 0.0104288i | |||||
6.69986 | − | 6.69986i | 0.302978 | − | 0.302978i | |||||
0 | 0 | |||||||||
− | 0.946627i | − | 0.0427207i | −0.999772 | − | 0.0213603i | ||||
0.999772 | − | 0.0213603i | ||||||||
−0.138575 | + | 0.517167i | −0.00624743 | + | 0.0233157i | |||||
−6.35636 | + | 11.0095i | −0.286276 | + | 0.495845i | |||||
−13.3116 | + | 10.7636i | −0.598917 | + | 0.484279i | |||||
−19.6011 | + | 11.3167i | −0.881004 | + | 0.508648i | |||||
26.2434 | + | 26.2434i | 1.17836 | + | 1.17836i | |||||
0 | 0 | |||||||||
− | 7.13412i | − | 0.319688i | |||||||
−21.2427 | − | 5.69198i | −0.950956 | − | 0.254808i | −0.250188 | − | 0.968197i | ||
−0.700768 | + | 0.713389i | ||||||||
4.07615 | − | 1.09220i | 0.182291 | − | 0.0488447i | |||||
7.33572 | − | 1.96560i | 0.327736 | − | 0.0878165i | |||||
−40.1855 | − | 10.7677i | −1.79357 | − | 0.480585i | |||||
1.12263i | 0.0500556i | 0.999687 | + | 0.0250278i | ||||||
−0.999687 | + | 0.0250278i | ||||||||
0 | 0 | |||||||||
0.580663 | + | 0.580663i | 0.0258392 | + | 0.0258392i | |||||
5.37335 | − | 3.10230i | 0.238875 | − | 0.137914i | |||||
−3.53744 | − | 10.9408i | −0.157103 | − | 0.485897i | |||||
1.03829 | − | 1.79838i | 0.0460669 | − | 0.0797902i | |||||
−4.97409 | + | 18.5635i | −0.220473 | + | 0.822815i | 0.763695 | + | 0.645577i | ||
−0.984168 | + | 0.177238i | ||||||||
6.99997i | 0.309964i | |||||||||
0 | 0 | |||||||||
12.9970 | − | 12.9970i | 0.574390 | − | 0.574390i | |||||
14.2713 | + | 3.82398i | 0.630092 | + | 0.168833i | |||||
−5.42008 | − | 20.2280i | −0.239069 | − | 0.892219i | |||||
61.9848 | − | 16.6088i | 2.73137 | − | 0.731870i | |||||
1.76433 | − | 1.01864i | 0.0776703 | − | 0.0448430i | |||||
25.8099 | 1.13512 | |||||||||
0 | 0 | |||||||||
− | 3.14197i | − | 0.137917i | |||||||
−37.3139 | + | 5.88238i | −1.63632 | + | 0.257960i | |||||
19.3198 | + | 11.1543i | 0.846416 | + | 0.488678i | 0.859440 | − | 0.511237i | ||
−0.0130243 | + | 0.999915i | ||||||||
−7.95620 | − | 29.6930i | −0.348234 | − | 1.29963i | |||||
15.3793 | − | 8.87924i | 0.672489 | − | 0.388262i | −0.124530 | − | 0.992216i | ||
0.797019 | + | 0.603954i | ||||||||
3.48835 | 0.152389 | |||||||||
0 | 0 | |||||||||
−23.4095 | + | 23.4095i | −1.02070 | + | 1.02070i | |||||
2.99720 | − | 11.1857i | 0.130560 | − | 0.487257i | |||||
−2.59582 | − | 9.68774i | −0.112969 | − | 0.421605i | |||||
−10.2067 | + | 17.6785i | −0.443768 | + | 0.768628i | |||||
8.79620 | + | 15.2355i | 0.382082 | + | 0.661786i | |||||
0.406313 | − | 0.406313i | 0.0176325 | − | 0.0176325i | |||||
0 | 0 | |||||||||
4.44408 | + | 10.0010i | 0.192494 | + | 0.433190i | |||||
−4.84933 | − | 8.39929i | −0.209851 | − | 0.363473i | |||||
64.6497 | − | 17.3228i | 2.79505 | − | 0.748931i | |||||
1.40467 | − | 2.43296i | 0.0606725 | − | 0.105088i | |||||
−7.61914 | − | 13.1967i | −0.328790 | − | 0.569482i | |||||
−12.4059 | − | 12.4059i | −0.534854 | − | 0.534854i | |||||
0 | 0 | |||||||||
−2.55337 | − | 2.55337i | −0.109879 | − | 0.109879i | |||||
3.43267 | − | 12.8109i | 0.147582 | − | 0.550783i | −0.852045 | − | 0.523468i | ||
0.999627 | − | 0.0273145i | ||||||||
−6.34848 | − | 3.66530i | −0.272691 | − | 0.157438i | |||||
4.76348 | + | 2.75019i | 0.204420 | + | 0.118022i | |||||
1.47680 | + | 0.395706i | 0.0633171 | + | 0.0169658i | |||||
27.5124 | 1.17850 | |||||||||
0 | 0 | |||||||||
−14.0683 | −0.601515 | −0.300757 | − | 0.953701i | ||||||
−0.300757 | + | 0.953701i | ||||||||
3.87788 | + | 1.03908i | 0.165655 | + | 0.0443871i | |||||
0.640195 | + | 0.369617i | 0.0273229 | + | 0.0157749i | |||||
34.7236 | + | 20.0477i | 1.48062 | + | 0.854835i | |||||
7.74464 | − | 28.9034i | 0.329933 | − | 1.23133i | |||||
−2.68607 | − | 2.68607i | −0.114327 | − | 0.114327i | |||||
0 | 0 | |||||||||
0.884579 | + | 0.884579i | 0.0375822 | + | 0.0375822i | |||||
8.35532 | + | 14.4718i | 0.354664 | + | 0.614295i | |||||
1.46161 | − | 2.53158i | 0.0619861 | − | 0.107363i | |||||
16.4161 | − | 4.39869i | 0.695574 | − | 0.186379i | 0.106327 | − | 0.994331i | ||
0.589247 | + | 0.807953i | ||||||||
14.0011 | + | 24.2505i | 0.592712 | + | 1.02661i | |||||
14.9513 | − | 38.8656i | 0.632371 | − | 1.64384i | |||||
0 | 0 | |||||||||
−2.21283 | + | 2.21283i | −0.0934260 | + | 0.0934260i | |||||
−7.13128 | − | 12.3517i | −0.300815 | − | 0.521026i | |||||
−8.62337 | + | 14.9361i | −0.363432 | + | 0.629482i | −0.988523 | − | 0.151069i | ||
0.625091 | + | 0.780552i | ||||||||
0.452983 | + | 1.69056i | 0.0190740 | + | 0.0711853i | |||||
−4.64045 | + | 17.3184i | −0.195225 | + | 0.728590i | |||||
20.7884 | − | 20.7884i | 0.873800 | − | 0.873800i | |||||
0 | 0 | |||||||||
1.26037 | 0.0528840 | |||||||||
−13.5496 | + | 7.82285i | −0.568028 | + | 0.327951i | −0.756361 | − | 0.654154i | ||
0.188333 | + | 0.982105i | ||||||||
−4.26441 | − | 15.9150i | −0.178616 | − | 0.666605i | |||||
10.5267 | + | 6.07757i | 0.440527 | + | 0.254338i | 0.703821 | − | 0.710377i | ||
−0.263294 | + | 0.964716i | ||||||||
1.51245 | + | 1.10053i | 0.0632387 | + | 0.0460153i | |||||
− | 10.8858i | − | 0.454760i | |||||||
0 | 0 | |||||||||
16.7156 | 0.697089 | |||||||||
13.5421 | − | 7.81853i | 0.564253 | − | 0.325772i | |||||
−37.7804 | + | 10.1232i | −1.57282 | + | 0.421435i | −0.936693 | − | 0.350151i | ||
−0.636125 | + | 0.771586i | ||||||||
5.81521 | + | 21.7026i | 0.241881 | + | 0.902711i | |||||
18.3304 | + | 4.91161i | 0.761785 | + | 0.204120i | |||||
−5.17130 | + | 5.17130i | −0.214726 | + | 0.214726i | |||||
0 | 0 | |||||||||
− | 13.8369i | − | 0.573556i | |||||||
−2.03558 | + | 7.59690i | −0.0843053 | + | 0.314632i | |||||
11.2140 | − | 19.4232i | 0.464037 | − | 0.803736i | |||||
−31.1971 | − | 3.30168i | −1.28984 | − | 0.136508i | |||||
−11.7647 | + | 6.79237i | −0.485996 | + | 0.280590i | |||||
6.17868 | + | 6.17868i | 0.255021 | + | 0.255021i | 0.823026 | − | 0.568004i | ||
−0.568004 | + | 0.823026i | ||||||||
0 | 0 | |||||||||
27.2575i | 1.12313i | |||||||||
−1.45627 | − | 0.390207i | −0.0599538 | − | 0.0160646i | |||||
1.72176 | − | 0.461345i | 0.0708239 | − | 0.0189772i | |||||
20.2755 | − | 5.43281i | 0.833320 | − | 0.223287i | |||||
32.6629 | + | 8.75200i | 1.34130 | + | 0.359402i | 0.856918 | − | 0.515453i | ||
0.484387 | + | 0.874854i | ||||||||
− | 17.8039i | − | 0.730502i | |||||||
0 | 0 | |||||||||
−3.08397 | − | 3.08397i | −0.126324 | − | 0.126324i | |||||
5.11400 | − | 2.95257i | 0.209302 | − | 0.120841i | |||||
8.55224 | + | 0.905108i | 0.349727 | + | 0.0370126i | |||||
−5.13357 | + | 8.89161i | −0.209752 | + | 0.363301i | −0.951636 | − | 0.307227i | ||
0.741884 | + | 0.670528i | ||||||||
6.35342 | − | 23.7113i | 0.259377 | − | 0.968009i | |||||
− | 4.09959i | − | 0.167226i | −0.996498 | − | 0.0836128i | ||||
0.996498 | − | 0.0836128i | ||||||||
0 | 0 | |||||||||
1.64976 | − | 1.64976i | 0.0671835 | − | 0.0671835i | |||||
−2.60634 | − | 0.698368i | −0.106051 | − | 0.0284162i | |||||
−4.29875 | − | 16.0432i | −0.174769 | − | 0.652247i | |||||
−0.265197 | + | 0.0710593i | −0.0107729 | + | 0.00288658i | |||||
−6.28556 | + | 3.62897i | −0.255123 | + | 0.147295i | −0.622108 | − | 0.782932i | ||
0.366985 | + | 0.930227i | ||||||||
−3.59867 | −0.145946 | |||||||||
0 | 0 | |||||||||
− | 1.93957i | − | 0.0785308i | |||||||
28.9268 | + | 21.0484i | 1.17025 | + | 0.851529i | |||||
0.520955 | + | 0.300773i | 0.0210583 | + | 0.0121580i | |||||
5.57436 | + | 20.8038i | 0.225146 | + | 0.840257i | 0.982346 | + | 0.187073i | ||
−0.757200 | + | 0.653183i | ||||||||
−32.6012 | + | 18.8223i | −1.31568 | + | 0.759606i | |||||
−10.5332 | −0.424740 | |||||||||
0 | 0 | |||||||||
−28.5301 | + | 28.5301i | −1.14858 | + | 1.14858i | −0.161748 | + | 0.986832i | ||
−0.986832 | + | 0.161748i | ||||||||
−5.55294 | + | 20.7238i | −0.223372 | + | 0.833635i | |||||
8.91786 | + | 33.2819i | 0.358439 | + | 1.33771i | 0.876101 | + | 0.482128i | ||
−0.517662 | + | 0.855585i | ||||||||
3.33093 | − | 5.76934i | 0.133773 | − | 0.231702i | |||||
−3.71119 | − | 6.42797i | −0.148925 | − | 0.257946i | |||||
14.1348 | − | 14.1348i | 0.566754 | − | 0.566754i | |||||
0 | 0 | |||||||||
4.99121 | − | 12.9746i | 0.199808 | − | 0.519400i | |||||
15.5266 | + | 26.8929i | 0.621065 | + | 1.07572i | |||||
9.28871 | − | 2.48890i | 0.371252 | − | 0.0994766i | |||||
3.68299 | − | 6.37912i | 0.147084 | − | 0.254758i | |||||
−1.28243 | − | 2.22123i | −0.0511744 | − | 0.0886366i | |||||
−4.63126 | − | 4.63126i | −0.184660 | − | 0.184660i | |||||
0 | 0 | |||||||||
−26.1762 | − | 26.1762i | −1.04206 | − | 1.04206i | −0.999076 | − | 0.0429839i | ||
−0.0429839 | − | 0.999076i | ||||||||
−2.00652 | + | 7.48844i | −0.0798151 | + | 0.297874i | |||||
14.5459 | + | 8.39809i | 0.578148 | + | 0.333794i | |||||
40.2062 | + | 23.2130i | 1.59679 | + | 0.921907i | |||||
39.4610 | + | 10.5735i | 1.56596 | + | 0.419598i | |||||
−0.533325 | −0.0211477 | |||||||||
0 | 0 | |||||||||
−36.0579 | −1.42755 | |||||||||
1.01105 | + | 0.270911i | 0.0399966 | + | 0.0107171i | |||||
−43.1698 | − | 24.9241i | −1.70644 | − | 0.985212i | |||||
10.1134 | + | 5.83896i | 0.399454 | + | 0.230625i | 0.686248 | − | 0.727367i | ||
−0.286794 | + | 0.957992i | ||||||||
−5.79167 | + | 21.6148i | −0.228579 | + | 0.853069i | |||||
12.8214 | + | 12.8214i | 0.505627 | + | 0.505627i | 0.913181 | − | 0.407554i | ||
−0.407554 | + | 0.913181i | ||||||||
0 | 0 | |||||||||
28.3405 | + | 28.3405i | 1.11591 | + | 1.11591i | |||||
3.22889 | + | 5.59260i | 0.127039 | + | 0.220038i | |||||
5.73484 | − | 9.93304i | 0.225460 | − | 0.390508i | −0.730997 | − | 0.682380i | ||
0.956457 | + | 0.291872i | ||||||||
6.63165 | − | 1.77695i | 0.260516 | − | 0.0698050i | |||||
−0.337005 | − | 0.583711i | −0.0132286 | − | 0.0229126i | |||||
22.5677 | + | 50.7864i | 0.885178 | + | 1.99200i | |||||
0 | 0 | |||||||||
−1.51064 | + | 1.51064i | −0.0591614 | + | 0.0591614i | |||||
4.47691 | + | 7.75423i | 0.175195 | + | 0.303446i | 0.940229 | − | 0.340544i | ||
−0.765034 | + | 0.643990i | ||||||||
−4.59922 | + | 7.96608i | −0.179844 | + | 0.311498i | |||||
17.7619 | + | 66.2883i | 0.694014 | + | 2.59010i | |||||
−3.42446 | + | 12.7803i | −0.133703 | + | 0.498986i | |||||
13.1706 | − | 13.1706i | 0.513835 | − | 0.513835i | |||||
0 | 0 | |||||||||
22.2313 | 0.866009 | 0.433005 | − | 0.901392i | ||||||
0.433005 | + | 0.901392i | ||||||||
−1.55909 | + | 0.900139i | −0.0606874 | + | 0.0350379i | |||||
0.636436 | + | 2.37521i | 0.0247545 | + | 0.0923850i | 0.977198 | − | 0.212330i | ||
−0.952443 | + | 0.304715i | ||||||||
16.0753 | + | 9.28107i | 0.624784 | + | 0.360719i | |||||
−4.28467 | + | 0.675460i | −0.166403 | + | 0.0262327i | |||||
− | 14.5230i | − | 0.563600i | |||||||
0 | 0 | |||||||||
15.8374 | 0.613688 | |||||||||
−13.0185 | + | 7.51622i | −0.504077 | + | 0.291029i | |||||
−1.65401 | + | 0.443192i | −0.0639957 | + | 0.0171476i | |||||
0.661955 | + | 2.47045i | 0.0255927 | + | 0.0955132i | |||||
−5.91294 | − | 1.58437i | −0.228437 | − | 0.0612094i | |||||
0.613137 | − | 0.613137i | 0.0236699 | − | 0.0236699i | |||||
0 | 0 | |||||||||
− | 6.44000i | − | 0.248244i | −0.992267 | − | 0.124122i | ||||
0.992267 | − | 0.124122i | ||||||||
1.74398 | − | 6.50861i | 0.0671755 | − | 0.250702i | |||||
23.9824 | − | 41.5387i | 0.923083 | − | 1.59883i | |||||
0.797602 | + | 2.46686i | 0.0306770 | + | 0.0948792i | |||||
4.00871 | − | 2.31443i | 0.154067 | − | 0.0889507i | −0.420984 | − | 0.907068i | ||
0.575052 | + | 0.818117i | ||||||||
−4.23871 | − | 4.23871i | −0.162787 | − | 0.162787i | |||||
0 | 0 | |||||||||
14.2499i | 0.546458i | |||||||||
5.60775 | + | 1.50259i | 0.214889 | + | 0.0575795i | |||||
31.7268 | − | 8.50116i | 1.21488 | − | 0.325526i | |||||
−17.5171 | + | 4.69368i | −0.670272 | + | 0.179599i | −0.577877 | − | 0.816124i | ||
−0.0923945 | + | 0.995722i | ||||||||
−1.36766 | − | 0.366464i | −0.0522939 | − | 0.0140121i | |||||
78.9813i | 3.01772i | |||||||||
0 | 0 | |||||||||
−0.892011 | − | 0.892011i | −0.0340323 | − | 0.0340323i | |||||
43.6002 | − | 25.1726i | 1.66224 | − | 0.959697i | |||||
−8.47681 | + | 6.85428i | −0.322941 | + | 0.261127i | |||||
−4.13863 | + | 7.16832i | −0.157555 | + | 0.272893i | |||||
0.159887 | − | 0.596708i | 0.00608240 | − | 0.0226998i | −0.962818 | − | 0.270151i | ||
0.968900 | + | 0.247451i | ||||||||
0.708433i | 0.0269306i | |||||||||
0 | 0 | |||||||||
11.6747 | − | 11.6747i | 0.443166 | − | 0.443166i | |||||
55.5493 | + | 14.8844i | 2.10711 | + | 0.564597i | |||||
5.71366 | + | 21.3237i | 0.216576 | + | 0.808271i | |||||
3.98773 | − | 1.06851i | 0.151046 | − | 0.0404726i | |||||
30.3436 | − | 17.5189i | 1.14852 | − | 0.663101i | |||||
7.51309 | 0.284171 | |||||||||
0 | 0 | |||||||||
− | 14.4452i | − | 0.545586i | −0.962073 | − | 0.272793i | ||||
0.962073 | − | 0.272793i | ||||||||
14.5194 | − | 19.9539i | 0.547998 | − | 0.753113i | |||||
13.3509 | + | 7.70815i | 0.503539 | + | 0.290718i | |||||
−4.74725 | − | 17.7170i | −0.178919 | − | 0.667734i | |||||
−29.8188 | + | 17.2159i | −1.12304 | + | 0.648388i | |||||
9.08287 | 0.341838 | |||||||||
0 | 0 | |||||||||
0.0323185 | − | 0.0323185i | 0.00121460 | − | 0.00121460i | |||||
0.851819 | − | 3.17903i | 0.0319907 | − | 0.119391i | −0.948084 | − | 0.318020i | ||
0.980075 | + | 0.198629i | ||||||||
−0.710803 | − | 2.65275i | −0.0266760 | − | 0.0995561i | |||||
−3.21921 | + | 5.57583i | −0.120730 | + | 0.209110i | |||||
−9.87181 | − | 17.0985i | −0.369962 | − | 0.640792i | |||||
9.68268 | − | 9.68268i | 0.362619 | − | 0.362619i | |||||
0 | 0 | |||||||||
−13.2120 | + | 34.3444i | −0.494100 | + | 1.28441i | |||||
1.71792 | + | 2.97552i | 0.0642016 | + | 0.111201i | |||||
5.61603 | − | 1.50481i | 0.209734 | − | 0.0561982i | |||||
16.1290 | − | 27.9363i | 0.601930 | − | 1.04257i | |||||
−24.6176 | − | 42.6390i | −0.918083 | − | 1.59017i | −0.802323 | − | 0.596890i | ||
−0.115760 | − | 0.993277i | ||||||||
−26.8190 | − | 26.8190i | −0.999485 | − | 0.999485i | |||||
0 | 0 | |||||||||
9.17662 | + | 9.17662i | 0.341518 | + | 0.341518i | |||||
2.46889 | − | 9.21401i | 0.0918188 | − | 0.342673i | |||||
−1.07404 | − | 0.620097i | −0.0399164 | − | 0.0230457i | |||||
−84.1277 | − | 48.5712i | −3.12443 | − | 1.80389i | |||||
5.36383 | + | 1.43723i | 0.199070 | + | 0.0533408i | |||||
−34.0096 | −1.26135 | −0.630674 | − | 0.776048i | ||||||
−0.630674 | + | 0.776048i | ||||||||
0 | 0 | |||||||||
−6.54406 | −0.242372 | |||||||||
−47.2050 | − | 12.6485i | −1.74714 | − | 0.468144i | |||||
−13.6042 | − | 7.85441i | −0.503171 | − | 0.290506i | |||||
0.0509216 | + | 0.0293996i | 0.00188212 | + | 0.00108664i | |||||
9.70406 | − | 36.2160i | 0.358428 | − | 1.33767i | −0.517688 | − | 0.855569i | ||
0.876116 | − | 0.482101i | ||||||||
17.0423 | + | 17.0423i | 0.629042 | + | 0.629042i | |||||
0 | 0 | |||||||||
1.27836 | + | 1.27836i | 0.0471208 | + | 0.0471208i | |||||
−1.36835 | − | 2.37005i | −0.0504038 | − | 0.0873020i | |||||
−4.99140 | + | 8.64536i | −0.183736 | + | 0.318240i | |||||
−4.13697 | + | 1.10850i | −0.152181 | + | 0.0407767i | −0.334105 | − | 0.942536i | ||
0.181924 | + | 0.983313i | ||||||||
−1.88391 | − | 3.26302i | −0.0692538 | − | 0.119951i | |||||
9.33004 | − | 4.14595i | 0.342748 | − | 0.152305i | |||||
0 | 0 | |||||||||
−25.3436 | + | 25.3436i | −0.929767 | + | 0.929767i | −0.997691 | − | 0.0679234i | ||
0.0679234 | + | 0.997691i | ||||||||
−10.0547 | − | 17.4153i | −0.368623 | − | 0.638474i | |||||
42.9011 | − | 74.3069i | 1.57177 | − | 2.72239i | |||||
−1.61814 | − | 6.03899i | −0.0592444 | − | 0.221103i | |||||
3.12164 | − | 11.6501i | 0.114215 | − | 0.426256i | |||||
0.498937 | − | 0.498937i | 0.0182429 | − | 0.0182429i | |||||
0 | 0 | |||||||||
−27.7565 | −1.01352 | |||||||||
−39.9450 | + | 23.0623i | −1.45761 | + | 0.841554i | −0.998894 | − | 0.0470273i | ||
−0.458720 | + | 0.888581i | ||||||||
11.1941 | + | 41.7771i | 0.408209 | + | 1.52346i | |||||
21.4880 | + | 12.4061i | 0.783067 | + | 0.452104i | |||||
−40.4124 | − | 29.4058i | −1.47173 | − | 1.07090i | |||||
− | 53.0837i | − | 1.93191i | |||||||
0 | 0 | |||||||||
−38.5756 | −1.40205 | −0.701027 | − | 0.713135i | ||||||
−0.701027 | + | 0.713135i | ||||||||
32.9315 | − | 19.0130i | 1.19612 | − | 0.690583i | |||||
−3.57436 | + | 0.957747i | −0.129741 | + | 0.0347640i | |||||
−8.68107 | − | 32.3982i | −0.314896 | − | 1.17521i | |||||
−9.60394 | − | 2.57337i | −0.348142 | − | 0.0932845i | 0.0805104 | − | 0.996754i | ||
−0.428653 | + | 0.903469i | ||||||||
−9.65816 | + | 9.65816i | −0.349878 | + | 0.349878i | |||||
0 | 0 | |||||||||
2.45446i | 0.0887993i | |||||||||
−3.06294 | + | 11.4311i | −0.110741 | + | 0.413291i | |||||
−17.4036 | + | 30.1439i | −0.628818 | + | 1.08914i | |||||
0.0983225 | − | 0.929035i | 0.00355022 | − | 0.0335455i | |||||
3.63106 | − | 2.09640i | 0.131025 | − | 0.0756472i | |||||
28.4649 | + | 28.4649i | 1.02647 | + | 1.02647i | 0.999640 | + | 0.0268295i | ||
0.0268295 | + | 0.999640i | ||||||||
0 | 0 | |||||||||
12.4896i | 0.449803i | |||||||||
−4.13302 | − | 1.10744i | −0.148751 | − | 0.0398577i | |||||
24.6946 | − | 6.61690i | 0.888203 | − | 0.237993i | 0.214260 | − | 0.976777i | ||
0.673943 | + | 0.738783i | ||||||||
36.6909 | − | 9.83129i | 1.31883 | − | 0.353379i | |||||
85.4739 | + | 22.9027i | 3.07031 | + | 0.822688i | |||||
− | 28.1677i | − | 1.01116i | |||||||
0 | 0 | |||||||||
−20.4214 | − | 20.4214i | −0.732141 | − | 0.732141i | |||||
−8.41547 | + | 4.85867i | −0.301515 | + | 0.174080i | |||||
−2.48145 | − | 0.262619i | −0.0888500 | − | 0.00940326i | |||||
0.613891 | − | 1.06329i | 0.0219667 | − | 0.0380475i | |||||
0.839661 | − | 3.13366i | 0.0300262 | − | 0.112059i | |||||
43.1350i | 1.54152i | |||||||||
0 | 0 | |||||||||
35.6797 | − | 35.6797i | 1.27346 | − | 1.27346i | |||||
−22.1627 | − | 5.93847i | −0.790516 | − | 0.211818i | |||||
4.69577 | + | 17.5248i | 0.167386 | + | 0.624693i | 0.997724 | + | 0.0674326i | ||
−0.830338 | + | 0.557260i | ||||||||
−0.388213 | + | 0.104021i | −0.0138295 | + | 0.00370561i | |||||
17.0993 | − | 9.87229i | 0.608751 | − | 0.351463i | |||||
16.8928 | 0.601020 | |||||||||
0 | 0 | |||||||||
− | 15.4046i | − | 0.547378i | |||||||
1.18721 | − | 0.187158i | 0.0421589 | − | 0.00664617i | |||||
15.3597 | + | 8.86791i | 0.545094 | + | 0.314710i | |||||
−2.71557 | − | 10.1347i | −0.0963114 | − | 0.359439i | |||||
−1.15307 | + | 0.665728i | −0.0408696 | + | 0.0235961i | |||||
6.98547 | 0.247438 | 0.123719 | − | 0.992317i | ||||||
0.123719 | + | 0.992317i | ||||||||
0 | 0 | |||||||||
9.54256 | − | 9.54256i | 0.337592 | − | 0.337592i | |||||
−3.02373 | + | 11.2847i | −0.106905 | + | 0.398975i | |||||
−4.24380 | − | 15.8381i | −0.149947 | − | 0.559611i | |||||
−6.96815 | + | 12.0692i | −0.246054 | + | 0.426178i | |||||
−10.9240 | − | 18.9209i | −0.385500 | − | 0.667706i | |||||
0.131223 | − | 0.131223i | 0.00462789 | − | 0.00462789i | |||||
0 | 0 | |||||||||
42.4910 | + | 16.3459i | 1.49668 | + | 0.575761i | |||||
5.23181 | + | 9.06176i | 0.184168 | + | 0.318989i | |||||
−0.539862 | + | 0.144656i | −0.0189923 | + | 0.00508897i | |||||
−1.00660 | + | 1.74348i | −0.0353902 | + | 0.0612976i | −0.883178 | − | 0.469038i | ||
0.847788 | + | 0.530336i | ||||||||
−7.48003 | − | 12.9558i | −0.262821 | − | 0.455220i | |||||
−19.2255 | − | 19.2255i | −0.675097 | − | 0.675097i | 0.283790 | − | 0.958887i | ||
−0.958887 | + | 0.283790i | ||||||||
0 | 0 | |||||||||
3.09147 | + | 3.09147i | 0.108422 | + | 0.108422i | |||||
4.80809 | − | 17.9440i | 0.168523 | − | 0.628938i | |||||
−36.3983 | − | 21.0146i | −1.27498 | − | 0.736109i | |||||
−4.54153 | − | 2.62206i | −0.158985 | − | 0.0917903i | |||||
35.7152 | + | 9.56987i | 1.24952 | + | 0.334807i | |||||
−28.6294 | −1.00100 | |||||||||
0 | 0 | |||||||||
2.37497 | 0.0829374 | |||||||||
−9.31280 | − | 2.49536i | −0.325019 | − | 0.0870885i | 0.0926203 | − | 0.995702i | ||
−0.417639 | + | 0.908613i | ||||||||
−22.8686 | − | 13.2032i | −0.797635 | − | 0.460515i | |||||
−15.6607 | − | 9.04171i | −0.545898 | − | 0.315174i | 0.201568 | − | 0.979475i | ||
−0.747466 | + | 0.664300i | ||||||||
−11.3041 | + | 42.1876i | −0.393798 | + | 1.46967i | |||||
−16.9090 | − | 16.9090i | −0.588697 | − | 0.588697i | |||||
0 | 0 | |||||||||
12.8291 | + | 12.8291i | 0.446111 | + | 0.446111i | 0.894059 | − | 0.447949i | ||
−0.447949 | + | 0.894059i | ||||||||
0.355656 | + | 0.616014i | 0.0123599 | + | 0.0214080i | |||||
−14.1033 | + | 24.4277i | −0.489829 | + | 0.848409i | −0.999931 | − | 0.0117047i | ||
0.510102 | + | 0.860114i | ||||||||
−30.5671 | + | 8.19043i | −1.06100 | + | 0.284294i | |||||
−0.373046 | − | 0.646134i | −0.0129408 | − | 0.0224141i | |||||
9.12795 | − | 23.7280i | 0.316455 | − | 0.822621i | |||||
0 | 0 | |||||||||
−13.5958 | + | 13.5958i | −0.470785 | + | 0.470785i | |||||
−16.8438 | − | 29.1742i | −0.582902 | − | 1.00962i | |||||
−0.830418 | + | 1.43833i | −0.0287206 | + | 0.0497455i | |||||
−10.1697 | − | 37.9537i | −0.351515 | − | 1.31187i | |||||
9.28767 | − | 34.6620i | 0.320837 | − | 1.19738i | |||||
−7.67294 | + | 7.67294i | −0.264899 | + | 0.264899i | −0.827041 | − | 0.562142i | ||
0.562142 | + | 0.827041i | ||||||||
0 | 0 | |||||||||
58.3606 | 2.01243 | |||||||||
−30.8548 | + | 17.8140i | −1.06333 | + | 0.613912i | |||||
2.20158 | + | 8.21639i | 0.0758263 | + | 0.282988i | |||||
−3.27973 | − | 1.89355i | −0.112893 | − | 0.0651787i | |||||
−42.8160 | + | 27.7174i | −1.47291 | + | 0.953506i | |||||
32.6326i | 1.12193i | |||||||||
0 | 0 | |||||||||
−13.1796 | −0.452588 | |||||||||
−15.1847 | + | 8.76689i | −0.521137 | + | 0.300879i | |||||
20.2503 | − | 5.42604i | 0.694579 | − | 0.186112i | |||||
−2.00448 | − | 7.48080i | −0.0687125 | − | 0.256439i | |||||
0.0804200 | + | 0.0215485i | 0.00275514 | + | 0.000738238i | |||||
−10.4908 | + | 10.4908i | −0.359198 | + | 0.359198i | −0.863517 | − | 0.504319i | ||
0.504319 | + | 0.863517i | ||||||||
0 | 0 | |||||||||
− | 27.8554i | − | 0.952634i | |||||||
−11.7901 | + | 44.0014i | −0.402979 | + | 1.50394i | |||||
−8.61727 | + | 14.9255i | −0.294360 | + | 0.509847i | −0.974836 | − | 0.222924i | ||
0.680476 | + | 0.732771i | ||||||||
−7.73561 | − | 9.56678i | −0.264090 | − | 0.326604i | |||||
−32.5438 | + | 18.7892i | −1.11038 | + | 0.641079i | −0.938928 | − | 0.344113i | ||
−0.171453 | + | 0.985192i | ||||||||
−6.39005 | − | 6.39005i | −0.217899 | − | 0.217899i | |||||
0 | 0 | |||||||||
− | 40.7133i | − | 1.38670i | |||||||
−1.19297 | − | 0.319657i | −0.0406093 | − | 0.0108812i | 0.238457 | − | 0.971153i | ||
−0.279067 | + | 0.960272i | ||||||||
5.01085 | − | 1.34265i | 0.170472 | − | 0.0456779i | |||||
−13.4622 | + | 3.60719i | −0.457729 | + | 0.122648i | |||||
37.2842 | + | 9.99026i | 1.26697 | + | 0.339483i | |||||
− | 13.4001i | − | 0.455092i | |||||||
0 | 0 | |||||||||
5.34017 | + | 5.34017i | 0.181153 | + | 0.181153i | |||||
41.6585 | − | 24.0515i | 1.41236 | − | 0.815424i | |||||
0.399221 | − | 3.77218i | 0.0135271 | − | 0.127815i | |||||
−9.36265 | + | 16.2166i | −0.317059 | + | 0.549163i | |||||
6.05452 | − | 22.5958i | 0.204915 | − | 0.764752i | |||||
7.63614i | 0.258296i | |||||||||
0 | 0 | |||||||||
1.04760 | − | 1.04760i | 0.0353952 | − | 0.0353952i | |||||
45.7327 | + | 12.2540i | 1.54428 | + | 0.413789i | 0.927646 | − | 0.373460i | ||
0.616636 | + | 0.787249i | ||||||||
1.42230 | + | 5.30810i | 0.0480004 | + | 0.179140i | |||||
7.82591 | − | 2.09695i | 0.263962 | − | 0.0707283i | |||||
−38.5282 | + | 22.2443i | −1.29879 | + | 0.749855i | |||||
−25.5041 | −0.859255 | −0.429627 | − | 0.903006i | ||||||
−0.429627 | + | 0.903006i | ||||||||
0 | 0 | |||||||||
34.7968i | 1.17101i | 0.810670 | + | 0.585503i | ||||||
−0.810670 | + | 0.585503i | ||||||||
0.966081 | − | 0.152299i | 0.0324928 | − | 0.00512236i | |||||
0.778700 | + | 0.449582i | 0.0261757 | + | 0.0151125i | |||||
−1.03180 | − | 3.85071i | −0.0346638 | − | 0.129367i | |||||
−39.3189 | + | 22.7008i | −1.32020 | + | 0.762217i | −0.983760 | − | 0.179488i | ||
−0.336439 | + | 0.941705i | ||||||||
−11.3735 | −0.381669 | |||||||||
0 | 0 | |||||||||
−30.4205 | + | 30.4205i | −1.01970 | + | 1.01970i | |||||
1.73100 | − | 6.46018i | 0.0579907 | − | 0.216424i | |||||
−0.149254 | − | 0.557023i | −0.00499739 | − | 0.0186505i | |||||
−15.8824 | + | 27.5091i | −0.531484 | + | 0.920558i | |||||
14.3434 | + | 24.8436i | 0.479717 | + | 0.830894i | |||||
−47.7959 | + | 47.7959i | −1.59764 | + | 1.59764i | |||||
0 | 0 | |||||||||
−4.78707 | − | 1.84154i | −0.159836 | − | 0.0614873i | |||||
25.8357 | + | 44.7488i | 0.862149 | + | 1.49329i | |||||
−76.8671 | + | 20.5965i | −2.56366 | + | 0.686931i | |||||
−2.29831 | + | 3.98080i | −0.0766105 | + | 0.132693i | |||||
2.05616 | + | 3.56137i | 0.0685005 | + | 0.118646i | |||||
8.27996 | + | 8.27996i | 0.275693 | + | 0.275693i | |||||
0 | 0 | |||||||||
−8.62877 | − | 8.62877i | −0.286989 | − | 0.286989i | |||||
6.31480 | − | 23.5671i | 0.209911 | − | 0.783398i | |||||
15.3701 | + | 8.87394i | 0.510638 | + | 0.294817i | |||||
−0.0976763 | − | 0.0563935i | −0.00324329 | − | 0.00187251i | 0.498377 | − | 0.866960i | ||
−0.501621 | + | 0.865088i | ||||||||
−1.26440 | − | 0.338796i | −0.0419607 | − | 0.0112433i | |||||
−0.464163 | −0.0153953 | |||||||||
0 | 0 | |||||||||
−0.606928 | −0.0201084 | −0.0100542 | − | 0.999949i | ||||||
−0.0100542 | + | 0.999949i | ||||||||
11.9229 | + | 3.19473i | 0.394807 | + | 0.105788i | |||||
−12.2521 | − | 7.07372i | −0.405484 | − | 0.234106i | |||||
−8.75571 | − | 5.05511i | −0.289613 | − | 0.167208i | |||||
−0.299393 | + | 1.11735i | −0.00989762 | + | 0.0369384i | |||||
0.201125 | + | 0.201125i | 0.00664536 | + | 0.00664536i | |||||
0 | 0 | |||||||||
−6.58253 | − | 6.58253i | −0.217256 | − | 0.217256i | |||||
−24.4824 | − | 42.4048i | −0.807600 | − | 1.39880i | −0.914522 | − | 0.404536i | ||
0.106922 | − | 0.994267i | ||||||||
−8.42503 | + | 14.5926i | −0.277765 | + | 0.481103i | |||||
21.6863 | − | 5.81084i | 0.714589 | − | 0.191474i | |||||
−5.31022 | − | 9.19757i | −0.174883 | − | 0.302906i | |||||
1.55516 | − | 0.691058i | 0.0511886 | − | 0.0227465i | |||||
0 | 0 | |||||||||
35.3890 | − | 35.3890i | 1.16358 | − | 1.16358i | |||||
−15.5409 | − | 26.9176i | −0.510706 | − | 0.884568i | |||||
−18.1361 | + | 31.4126i | −0.595666 | + | 1.03172i | |||||
−2.71925 | − | 10.1484i | −0.0892638 | − | 0.333137i | |||||
−4.07062 | + | 15.1918i | −0.133553 | + | 0.498426i | −1.00000 | 0.000843401i | |||
0.866447 | + | 0.499269i | ||||||||
−30.9841 | + | 30.9841i | −1.01601 | + | 1.01601i | |||||
0 | 0 | |||||||||
−1.69401 | −0.0554890 | |||||||||
−10.3247 | + | 5.96094i | −0.338014 | + | 0.195152i | |||||
0.175229 | + | 0.653962i | 0.00573366 | + | 0.0213983i | |||||
12.0217 | + | 6.94071i | 0.393150 | + | 0.226985i | |||||
12.5627 | − | 17.2649i | 0.410624 | − | 0.564320i | |||||
2.27169i | 0.0742129i | 0.999311 | + | 0.0371065i | ||||||
−0.999311 | + | 0.0371065i | ||||||||
0 | 0 | |||||||||
−5.73524 | −0.187163 | |||||||||
6.72336 | − | 3.88173i | 0.219292 | − | 0.126608i | |||||
−27.5932 | + | 7.39357i | −0.899512 | + | 0.241023i | −0.678807 | − | 0.734317i | ||
−0.220705 | + | 0.975341i | ||||||||
4.36634 | + | 16.2954i | 0.142263 | + | 0.530933i | |||||
4.71537 | + | 1.26348i | 0.153554 | + | 0.0411446i | |||||
0.798656 | − | 0.798656i | 0.0259940 | − | 0.0259940i | |||||
0 | 0 | |||||||||
− | 44.5559i | − | 1.44864i | |||||||
−0.196990 | + | 0.735176i | −0.00640131 | + | 0.0238900i | −0.969053 | − | 0.246854i | ||
0.962651 | + | 0.270744i | ||||||||
−0.256059 | + | 0.443506i | −0.00831640 | + | 0.0144044i | |||||
3.18712 | − | 30.1146i | 0.103458 | − | 0.977562i | |||||
−42.7350 | + | 24.6731i | −1.38651 | + | 0.800500i | |||||
−19.5788 | − | 19.5788i | −0.634887 | − | 0.634887i | |||||
0 | 0 | |||||||||
7.93535i | 0.257051i | 0.991706 | + | 0.128526i | ||||||
−0.991706 | + | 0.128526i | ||||||||
−9.60507 | − | 2.57367i | −0.310976 | − | 0.0833257i | |||||
−46.6416 | + | 12.4976i | −1.50929 | + | 0.404412i | |||||
−1.26627 | + | 0.339296i | −0.0409540 | + | 0.0109736i | |||||
20.7723 | + | 5.56592i | 0.671473 | + | 0.179921i | |||||
− | 48.7364i | − | 1.57460i | |||||||
0 | 0 | |||||||||
17.3023 | + | 17.3023i | 0.558429 | + | 0.558429i | |||||
35.9314 | − | 20.7450i | 1.15908 | − | 0.669194i | |||||
20.0224 | − | 16.1899i | 0.645547 | − | 0.521984i | |||||
−18.9158 | + | 32.7631i | −0.609553 | + | 1.05578i | |||||
−0.556670 | + | 2.07752i | −0.0179291 | + | 0.0669124i | |||||
− | 84.1778i | − | 2.70978i | |||||||
0 | 0 | |||||||||
−1.26298 | + | 1.26298i | −0.0406147 | + | 0.0406147i | −0.727122 | − | 0.686508i | ||
0.686508 | + | 0.727122i | ||||||||
10.9192 | + | 2.92578i | 0.350956 | + | 0.0940383i | |||||
−0.996826 | − | 3.72021i | −0.0320227 | − | 0.119510i | |||||
−59.2858 | + | 15.8856i | −1.90355 | + | 0.510055i | |||||
0.300693 | − | 0.173605i | 0.00964970 | − | 0.00557126i | −0.495167 | − | 0.868798i | ||
0.504817 | + | 0.863226i | ||||||||
3.21464 | 0.103110 | |||||||||
0 | 0 | |||||||||
17.1431i | 0.549299i | |||||||||
−5.16142 | − | 32.7406i | −0.165298 | − | 1.04854i | |||||
1.25838 | + | 0.726525i | 0.0402797 | + | 0.0232555i | |||||
−2.88386 | − | 10.7627i | −0.0922627 | − | 0.344329i | 0.904328 | − | 0.426839i | ||
−0.996590 | + | 0.0825101i | ||||||||
12.1693 | − | 7.02596i | 0.389132 | − | 0.224666i | |||||
−19.2331 | −0.614693 | |||||||||
0 | 0 | |||||||||
−10.9963 | + | 10.9963i | −0.351084 | + | 0.351084i | |||||
0.363354 | − | 1.35606i | 0.0115951 | − | 0.0432735i | |||||
8.67608 | + | 32.3796i | 0.276724 | + | 1.03275i | 0.954677 | + | 0.297643i | ||
−0.677953 | + | 0.735105i | ||||||||
3.58452 | − | 6.20857i | 0.114270 | − | 0.197922i | |||||
−3.95339 | − | 6.84747i | −0.125965 | − | 0.218178i | |||||
−13.3315 | + | 13.3315i | −0.424561 | + | 0.424561i | |||||
0 | 0 | |||||||||
−2.10368 | + | 0.934803i | −0.0669270 | + | 0.0297400i | |||||
−9.28761 | − | 16.0866i | −0.295329 | − | 0.511525i | |||||
−32.4227 | + | 8.68762i | −1.03046 | + | 0.276111i | |||||
−17.8999 | + | 31.0035i | −0.568608 | + | 0.984858i | 0.428096 | + | 0.903733i | ||
−0.996704 | + | 0.0811244i | ||||||||
4.78525 | + | 8.28829i | 0.151932 | + | 0.263154i | |||||
−7.82804 | − | 7.82804i | −0.248415 | − | 0.248415i | |||||
0 | 0 | |||||||||
−18.5219 | − | 18.5219i | −0.587183 | − | 0.587183i | |||||
0.248298 | − | 0.926661i | 0.00786763 | − | 0.0293624i | |||||
53.9761 | + | 31.1631i | 1.70944 | + | 0.986946i | 0.935247 | + | 0.353996i | ||
0.774193 | + | 0.632949i | ||||||||
−28.2457 | − | 16.3077i | −0.894102 | − | 0.516210i | |||||
−21.4659 | − | 5.75176i | −0.679150 | − | 0.181978i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 637.2.bc.c.31.19 | 112 | ||
7.2 | even | 3 | inner | 637.2.bc.c.460.10 | 112 | ||
7.3 | odd | 6 | 637.2.i.b.538.9 | yes | 56 | ||
7.4 | even | 3 | 637.2.i.b.538.10 | yes | 56 | ||
7.5 | odd | 6 | inner | 637.2.bc.c.460.9 | 112 | ||
7.6 | odd | 2 | inner | 637.2.bc.c.31.20 | 112 | ||
13.8 | odd | 4 | inner | 637.2.bc.c.619.9 | 112 | ||
91.34 | even | 4 | inner | 637.2.bc.c.619.10 | 112 | ||
91.47 | even | 12 | inner | 637.2.bc.c.411.19 | 112 | ||
91.60 | odd | 12 | 637.2.i.b.489.10 | yes | 56 | ||
91.73 | even | 12 | 637.2.i.b.489.9 | ✓ | 56 | ||
91.86 | odd | 12 | inner | 637.2.bc.c.411.20 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.i.b.489.9 | ✓ | 56 | 91.73 | even | 12 | ||
637.2.i.b.489.10 | yes | 56 | 91.60 | odd | 12 | ||
637.2.i.b.538.9 | yes | 56 | 7.3 | odd | 6 | ||
637.2.i.b.538.10 | yes | 56 | 7.4 | even | 3 | ||
637.2.bc.c.31.19 | 112 | 1.1 | even | 1 | trivial | ||
637.2.bc.c.31.20 | 112 | 7.6 | odd | 2 | inner | ||
637.2.bc.c.411.19 | 112 | 91.47 | even | 12 | inner | ||
637.2.bc.c.411.20 | 112 | 91.86 | odd | 12 | inner | ||
637.2.bc.c.460.9 | 112 | 7.5 | odd | 6 | inner | ||
637.2.bc.c.460.10 | 112 | 7.2 | even | 3 | inner | ||
637.2.bc.c.619.9 | 112 | 13.8 | odd | 4 | inner | ||
637.2.bc.c.619.10 | 112 | 91.34 | even | 4 | inner |