Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(75,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.75");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 304.m (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 227.20 | ||
Character | 304.227 | ||
Dual form | 304.2.m.a.75.20 |
-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 .
0.0324855 | + | 1.41384i | 0.0229707 | + | 0.999736i | |||||
−0.549728 | − | 0.549728i | −0.317385 | − | 0.317385i | 0.530377 | − | 0.847762i | ||
−0.847762 | + | 0.530377i | ||||||||
−1.99789 | + | 0.0918587i | −0.998945 | + | 0.0459293i | |||||
1.49999 | − | 1.49999i | 0.670818 | − | 0.670818i | −0.287087 | − | 0.957905i | ||
0.957905 | + | 0.287087i | ||||||||
0.759369 | − | 0.795085i | 0.310011 | − | 0.324592i | |||||
−3.48044 | −1.31548 | −0.657741 | − | 0.753244i | ||||||
−0.657741 | + | 0.753244i | ||||||||
−0.194776 | − | 2.82171i | −0.0688637 | − | 0.997626i | |||||
− | 2.39560i | − | 0.798533i | |||||||
2.16948 | + | 2.07202i | 0.686050 | + | 0.655232i | |||||
−3.68459 | − | 3.68459i | −1.11094 | − | 1.11094i | −0.993023 | − | 0.117921i | ||
−0.117921 | − | 0.993023i | ||||||||
1.14879 | + | 1.04780i | 0.331628 | + | 0.302473i | |||||
−3.73303 | + | 3.73303i | −1.03536 | + | 1.03536i | −0.0360050 | + | 0.999352i | ||
−0.999352 | + | 0.0360050i | ||||||||
−0.113064 | − | 4.92078i | −0.0302176 | − | 1.31513i | |||||
−1.64918 | −0.425816 | |||||||||
3.98312 | − | 0.367047i | 0.995781 | − | 0.0917617i | |||||
1.51477 | 0.367385 | 0.183693 | − | 0.982984i | ||||||
0.183693 | + | 0.982984i | ||||||||
3.38699 | − | 0.0778223i | 0.798322 | − | 0.0183429i | |||||
1.27937 | − | 4.16692i | 0.293507 | − | 0.955957i | |||||
−2.85904 | + | 3.13461i | −0.639300 | + | 0.700920i | |||||
1.91329 | + | 1.91329i | 0.417515 | + | 0.417515i | |||||
5.08972 | − | 5.32911i | 1.08513 | − | 1.13617i | |||||
−0.482269 | −0.100560 | −0.0502800 | − | 0.998735i | ||||||
−0.0502800 | + | 0.998735i | ||||||||
−1.44410 | + | 1.65825i | −0.294776 | + | 0.338488i | |||||
0.500032i | 0.100006i | |||||||||
−5.39918 | − | 5.15664i | −1.05887 | − | 1.01130i | |||||
−2.96611 | + | 2.96611i | −0.570828 | + | 0.570828i | |||||
6.95353 | − | 0.319708i | 1.31409 | − | 0.0604192i | |||||
7.26730 | − | 7.26730i | 1.34950 | − | 1.34950i | 0.463303 | − | 0.886200i | ||
0.886200 | − | 0.463303i | ||||||||
−0.0535744 | − | 2.33167i | −0.00978129 | − | 0.425703i | |||||
2.39300 | 0.429795 | 0.214897 | − | 0.976637i | ||||||
0.214897 | + | 0.976637i | ||||||||
0.648339 | + | 5.61958i | 0.114611 | + | 0.993410i | |||||
4.05104i | 0.705195i | |||||||||
0.0492080 | + | 2.14164i | 0.00843910 | + | 0.367288i | |||||
−5.22064 | + | 5.22064i | −0.882449 | + | 0.882449i | |||||
0.220057 | + | 4.78614i | 0.0366761 | + | 0.797690i | |||||
−3.14537 | − | 3.14537i | −0.517096 | − | 0.517096i | 0.399596 | − | 0.916691i | ||
−0.916691 | + | 0.399596i | ||||||||
5.93292 | + | 1.67346i | 0.962447 | + | 0.271471i | |||||
4.10430 | 0.657214 | |||||||||
−4.52472 | − | 3.94039i | −0.715421 | − | 0.623031i | |||||
−7.94060 | −1.24011 | −0.620057 | − | 0.784557i | ||||||
−0.620057 | + | 0.784557i | ||||||||
−2.64294 | + | 2.76724i | −0.407814 | + | 0.426995i | |||||
3.02093 | + | 3.02093i | 0.460687 | + | 0.460687i | 0.898881 | − | 0.438193i | ||
−0.438193 | + | 0.898881i | ||||||||
7.69986 | + | 7.02293i | 1.16080 | + | 1.05875i | |||||
−3.59339 | − | 3.59339i | −0.535670 | − | 0.535670i | |||||
−0.0156667 | − | 0.681851i | −0.00230993 | − | 0.100533i | |||||
3.58534i | 0.522975i | 0.965207 | + | 0.261488i | ||||||
−0.965207 | + | 0.261488i | ||||||||
−2.39141 | − | 1.98786i | −0.345170 | − | 0.286922i | |||||
5.11344 | 0.730492 | |||||||||
−0.706966 | + | 0.0162438i | −0.0999800 | + | 0.00229722i | |||||
−0.832709 | − | 0.832709i | −0.116603 | − | 0.116603i | |||||
7.11527 | − | 7.80109i | 0.986711 | − | 1.08182i | |||||
3.55950 | + | 3.55950i | 0.488935 | + | 0.488935i | 0.907970 | − | 0.419035i | ||
−0.419035 | + | 0.907970i | ||||||||
−4.28996 | − | 4.09725i | −0.583790 | − | 0.557565i | |||||
−11.0537 | −1.49048 | |||||||||
0.677905 | + | 9.82079i | 0.0905889 | + | 1.31236i | |||||
−2.99397 | + | 1.58737i | −0.396562 | + | 0.210252i | |||||
10.5109 | + | 10.0387i | 1.38015 | + | 1.31815i | |||||
−0.408827 | + | 0.408827i | −0.0532248 | + | 0.0532248i | −0.733218 | − | 0.679993i | ||
0.679993 | + | 0.733218i | ||||||||
3.29487 | − | 0.151491i | 0.425366 | − | 0.0195574i | |||||
2.47804 | + | 2.47804i | 0.317281 | + | 0.317281i | 0.847722 | − | 0.530441i | ||
−0.530441 | + | 0.847722i | ||||||||
0.0777377 | + | 3.38332i | 0.00987270 | + | 0.429682i | |||||
8.33773i | 1.05046i | |||||||||
−7.92412 | + | 1.09920i | −0.990516 | + | 0.137400i | |||||
11.1991i | 1.38907i | |||||||||
−5.72752 | + | 0.131600i | −0.705009 | + | 0.0161988i | |||||
−10.6691 | − | 10.6691i | −1.30344 | − | 1.30344i | −0.926056 | − | 0.377387i | ||
−0.377387 | − | 0.926056i | ||||||||
−3.02634 | + | 0.139144i | −0.366997 | + | 0.0168737i | |||||
0.265116 | + | 0.265116i | 0.0319163 | + | 0.0319163i | |||||
−7.55074 | − | 7.21155i | −0.902486 | − | 0.861945i | |||||
5.59302i | 0.663769i | 0.943320 | + | 0.331885i | ||||||
−0.943320 | + | 0.331885i | ||||||||
−6.75969 | + | 0.466605i | −0.796637 | + | 0.0549899i | |||||
− | 13.6019i | − | 1.59198i | −0.605311 | − | 0.795989i | ||||
0.605311 | − | 0.795989i | ||||||||
4.34487 | − | 4.54923i | 0.505081 | − | 0.528837i | |||||
0.274881 | − | 0.274881i | 0.0317406 | − | 0.0317406i | |||||
−2.17327 | + | 8.44256i | −0.249291 | + | 0.968429i | |||||
12.8240 | + | 12.8240i | 1.46143 | + | 1.46143i | |||||
0.133330 | + | 5.80283i | 0.0150967 | + | 0.657041i | |||||
−5.02027 | −0.564825 | −0.282412 | − | 0.959293i | ||||||
−0.282412 | + | 0.959293i | ||||||||
5.42410 | − | 6.52523i | 0.606432 | − | 0.729543i | |||||
−3.92569 | −0.436188 | |||||||||
−0.257955 | − | 11.2267i | −0.0284863 | − | 1.23979i | |||||
10.3497 | − | 10.3497i | 1.13603 | − | 1.13603i | 0.146870 | − | 0.989156i | ||
0.989156 | − | 0.146870i | ||||||||
−3.99830 | − | 3.64679i | −0.436250 | − | 0.397898i | |||||
2.27214 | − | 2.27214i | 0.246448 | − | 0.246448i | |||||
−4.17297 | + | 4.36925i | −0.449983 | + | 0.471148i | |||||
−7.99007 | −0.856625 | |||||||||
−9.67917 | + | 11.1145i | −1.03180 | + | 1.18481i | |||||
−7.42593 | −0.787147 | −0.393573 | − | 0.919293i | ||||||
−0.393573 | + | 0.919293i | ||||||||
4.96374 | − | 5.19721i | 0.523224 | − | 0.547834i | |||||
12.9926 | − | 12.9926i | 1.36199 | − | 1.36199i | |||||
0.963519 | − | 0.0443005i | 0.100454 | − | 0.00461865i | |||||
−1.31550 | − | 1.31550i | −0.136411 | − | 0.136411i | |||||
−5.06909 | + | 0.116471i | −0.522837 | + | 0.0120131i | |||||
−4.33131 | − | 8.16940i | −0.444383 | − | 0.838163i | |||||
2.73283 | − | 3.44565i | 0.278918 | − | 0.351670i | |||||
− | 3.70124i | − | 0.375804i | −0.982188 | − | 0.187902i | ||||
0.982188 | − | 0.187902i | ||||||||
0.166113 | + | 7.22959i | 0.0167799 | + | 0.730299i | |||||
−8.82679 | + | 8.82679i | −0.887126 | + | 0.887126i | |||||
−0.0459323 | − | 0.999009i | −0.00459323 | − | 0.0999009i | |||||
4.78718 | − | 4.78718i | 0.476342 | − | 0.476342i | −0.427618 | − | 0.903960i | ||
0.903960 | + | 0.427618i | ||||||||
1.15027 | − | 1.20437i | 0.113893 | − | 0.119250i | |||||
11.4253i | 1.12577i | 0.826536 | + | 0.562885i | ||||||
−0.826536 | + | 0.562885i | ||||||||
11.2606 | + | 9.80644i | 1.10420 | + | 0.961600i | |||||
5.73986 | 0.560153 | |||||||||
−4.91694 | + | 5.14820i | −0.477575 | + | 0.500037i | |||||
11.7874 | − | 11.7874i | 1.13953 | − | 1.13953i | 0.150999 | − | 0.988534i | ||
0.988534 | − | 0.150999i | ||||||||
5.65350 | − | 6.19842i | 0.544008 | − | 0.596443i | |||||
10.3205 | − | 10.3205i | 0.988523 | − | 0.988523i | −0.0114120 | − | 0.999935i | ||
0.999935 | + | 0.0114120i | ||||||||
−0.359086 | − | 15.6282i | −0.0342375 | − | 1.49009i | |||||
3.45819i | 0.328237i | |||||||||
−13.8630 | + | 1.27748i | −1.30993 | + | 0.120711i | |||||
14.0443i | 1.32118i | 0.750747 | + | 0.660590i | ||||||
−0.750747 | + | 0.660590i | ||||||||
−2.34154 | − | 4.18144i | −0.219306 | − | 0.391627i | |||||
−0.723400 | + | 0.723400i | −0.0674574 | + | 0.0674574i | |||||
−13.8517 | + | 15.1868i | −1.28610 | + | 1.41006i | |||||
8.94285 | + | 8.94285i | 0.826766 | + | 0.826766i | |||||
−0.591297 | − | 0.564735i | −0.0544333 | − | 0.0519881i | |||||
−5.27205 | −0.483288 | |||||||||
0.321220 | + | 4.65350i | 0.0293232 | + | 0.424805i | |||||
16.1523i | 1.46839i | |||||||||
−3.42306 | + | 3.58406i | −0.309909 | + | 0.324485i | |||||
4.36517 | + | 4.36517i | 0.393594 | + | 0.393594i | |||||
−4.78094 | + | 0.219817i | −0.429341 | + | 0.0197402i | |||||
8.25002 | + | 8.25002i | 0.737904 | + | 0.737904i | |||||
−11.7882 | + | 0.270856i | −1.05018 | + | 0.0241297i | |||||
5.68283 | 0.504269 | 0.252135 | − | 0.967692i | ||||||
0.252135 | + | 0.967692i | ||||||||
−1.81152 | − | 11.1677i | −0.160117 | − | 0.987098i | |||||
− | 3.32138i | − | 0.292431i | |||||||
−15.8337 | + | 0.363807i | −1.38871 | + | 0.0319080i | |||||
0.994673 | − | 0.994673i | 0.0869050 | − | 0.0869050i | −0.662318 | − | 0.749223i | ||
0.749223 | + | 0.662318i | ||||||||
−0.372123 | − | 8.09352i | −0.0323891 | − | 0.704451i | |||||
−4.45276 | + | 14.5027i | −0.386104 | + | 1.25754i | |||||
14.7379 | − | 15.4311i | 1.27316 | − | 1.33304i | |||||
8.89830i | 0.765844i | |||||||||
−0.295040 | − | 4.27424i | −0.0252995 | − | 0.366513i | |||||
− | 10.6023i | − | 0.905817i | −0.891557 | − | 0.452909i | ||||
0.891557 | − | 0.452909i | ||||||||
−0.366220 | + | 0.383445i | −0.0311747 | + | 0.0326410i | |||||
9.25182 | + | 9.25182i | 0.784729 | + | 0.784729i | 0.980625 | − | 0.195895i | ||
−0.195895 | + | 0.980625i | ||||||||
9.95070 | − | 10.9098i | 0.840987 | − | 0.922048i | |||||
1.97096 | − | 1.97096i | 0.165985 | − | 0.165985i | |||||
−7.90764 | + | 0.181692i | −0.663594 | + | 0.0152473i | |||||
27.5093 | 2.30045 | |||||||||
−0.879297 | − | 9.54197i | −0.0732748 | − | 0.795164i | |||||
− | 21.8018i | − | 1.81054i | |||||||
19.2309 | − | 0.441864i | 1.59156 | − | 0.0365689i | |||||
−2.81100 | − | 2.81100i | −0.231847 | − | 0.231847i | |||||
6.57303 | + | 5.99517i | 0.540300 | + | 0.492800i | |||||
0.265791 | − | 0.265791i | 0.0217745 | − | 0.0217745i | −0.696136 | − | 0.717910i | ||
0.717910 | + | 0.696136i | ||||||||
0.397568 | + | 0.379709i | 0.0324613 | + | 0.0310031i | |||||
− | 8.26373i | − | 0.672493i | −0.941774 | − | 0.336246i | ||||
0.941774 | − | 0.336246i | ||||||||
−12.0070 | − | 2.79840i | −0.973899 | − | 0.226980i | |||||
− | 3.62878i | − | 0.293369i | |||||||
−17.7145 | + | 18.5476i | −1.42747 | + | 1.49461i | |||||
3.58948 | − | 3.58948i | 0.288314 | − | 0.288314i | |||||
−8.19994 | + | 0.377016i | −0.656521 | + | 0.0301854i | |||||
−11.1943 | − | 11.1943i | −0.893405 | − | 0.893405i | 0.101437 | − | 0.994842i | ||
−0.994842 | + | 0.101437i | ||||||||
−0.163086 | − | 7.09786i | −0.0129744 | − | 0.564676i | |||||
− | 3.91351i | − | 0.310362i | |||||||
9.40184 | + | 7.45683i | 0.743281 | + | 0.589514i | |||||
1.67851 | 0.132285 | |||||||||
−0.127528 | − | 5.55030i | −0.0100196 | − | 0.436073i | |||||
5.31053 | − | 5.31053i | 0.415953 | − | 0.415953i | −0.467853 | − | 0.883806i | ||
0.883806 | + | 0.467853i | ||||||||
15.8644 | − | 0.729413i | 1.23881 | − | 0.0569576i | |||||
6.07653 | + | 6.07653i | 0.473058 | + | 0.473058i | |||||
14.9690 | + | 14.2966i | 1.16182 | + | 1.10963i | |||||
9.02701i | 0.698531i | 0.937024 | + | 0.349266i | ||||||
−0.937024 | + | 0.349266i | ||||||||
5.02610 | − | 5.77142i | 0.387772 | − | 0.445275i | |||||
− | 14.8710i | − | 1.14393i | |||||||
3.28626 | + | 3.13864i | 0.252045 | + | 0.240722i | |||||
−9.98227 | − | 3.06486i | −0.763363 | − | 0.234375i | |||||
−6.31298 | − | 5.75798i | −0.481360 | − | 0.439042i | |||||
7.82463 | − | 7.82463i | 0.594895 | − | 0.594895i | −0.344054 | − | 0.938950i | ||
0.938950 | + | 0.344054i | ||||||||
−0.259561 | − | 11.2967i | −0.0196773 | − | 0.856399i | |||||
− | 1.74033i | − | 0.131557i | |||||||
−16.0286 | − | 13.3237i | −1.20820 | − | 1.00432i | |||||
0.449487 | 0.0337855 | |||||||||
−0.241235 | − | 10.4991i | −0.0180813 | − | 0.786939i | |||||
2.95338 | + | 2.95338i | 0.220746 | + | 0.220746i | 0.808813 | − | 0.588067i | ||
−0.588067 | + | 0.808813i | ||||||||
7.50927 | + | 6.84910i | 0.559708 | + | 0.510502i | |||||
−6.95777 | − | 6.95777i | −0.517167 | − | 0.517167i | 0.399546 | − | 0.916713i | ||
−0.916713 | + | 0.399546i | ||||||||
18.7915 | + | 17.9474i | 1.39292 | + | 1.33035i | |||||
− | 2.72450i | − | 0.201401i | |||||||
0.0939343 | + | 1.36082i | 0.00692493 | + | 0.100321i | |||||
−9.43607 | −0.693754 | |||||||||
1.81717 | − | 1.90264i | 0.133241 | − | 0.139508i | |||||
−5.58129 | − | 5.58129i | −0.408144 | − | 0.408144i | |||||
−0.329344 | − | 7.16311i | −0.0240199 | − | 0.522423i | |||||
10.3234 | − | 10.3234i | 0.750914 | − | 0.750914i | |||||
11.4095 | − | 6.38917i | 0.827734 | − | 0.463519i | |||||
− | 3.91455i | − | 0.283247i | −0.989921 | − | 0.141624i | ||||
0.989921 | − | 0.141624i | ||||||||
4.96037 | + | 3.75185i | 0.357984 | + | 0.270766i | |||||
− | 17.5680i | − | 1.26457i | −0.774736 | − | 0.632285i | ||||
0.774736 | − | 0.632285i | ||||||||
5.23297 | − | 0.120237i | 0.375705 | − | 0.00863249i | |||||
6.15643 | − | 6.15643i | 0.440871 | − | 0.440871i | |||||
−10.2161 | + | 0.469714i | −0.729721 | + | 0.0335510i | |||||
−16.2889 | + | 16.2889i | −1.16053 | + | 1.16053i | −0.176176 | + | 0.984359i | ||
−0.984359 | + | 0.176176i | ||||||||
−12.7664 | − | 12.1929i | −0.907270 | − | 0.866514i | |||||
21.6100 | 1.53189 | 0.765945 | − | 0.642906i | ||||||
0.765945 | + | 0.642906i | ||||||||
1.41095 | − | 0.0973942i | 0.0997690 | − | 0.00688681i | |||||
11.7302i | 0.827387i | |||||||||
6.92382 | + | 6.61279i | 0.487158 | + | 0.465274i | |||||
−25.2934 | + | 25.2934i | −1.77525 | + | 1.77525i | |||||
1.74015 | + | 1.58717i | 0.121835 | + | 0.111124i | |||||
−11.9109 | + | 11.9109i | −0.831891 | + | 0.831891i | |||||
−16.1536 | + | 0.371157i | −1.12547 | + | 0.0258597i | |||||
1.15532i | 0.0803004i | |||||||||
−13.4989 | + | 16.2393i | −0.935982 | + | 1.12599i | |||||
−20.0673 | + | 10.6394i | −1.38809 | + | 0.735944i | |||||
0.186462 | + | 8.11524i | 0.0128671 | + | 0.560005i | |||||
−16.6981 | − | 16.6981i | −1.14954 | − | 1.14954i | −0.986642 | − | 0.162901i | ||
−0.162901 | − | 0.986642i | ||||||||
−7.43846 | − | 6.78452i | −0.510876 | − | 0.465963i | |||||
3.07464 | − | 3.07464i | 0.210671 | − | 0.210671i | |||||
17.0485 | + | 16.2826i | 1.16541 | + | 1.11306i | |||||
9.06275 | 0.618075 | |||||||||
8.94724 | + | 7.79178i | 0.608782 | + | 0.530164i | |||||
−8.32868 | −0.565387 | |||||||||
14.9268 | + | 14.2562i | 1.01097 | + | 0.965555i | |||||
−7.47732 | + | 7.47732i | −0.505271 | + | 0.505271i | |||||
22.0841 | − | 1.01538i | 1.48891 | − | 0.0684569i | |||||
−5.65467 | + | 5.65467i | −0.380374 | + | 0.380374i | |||||
−4.88933 | + | 0.112341i | −0.328151 | + | 0.00753984i | |||||
−1.63480 | −0.109474 | −0.0547372 | − | 0.998501i | ||||||
−0.0547372 | + | 0.998501i | ||||||||
−2.25650 | − | 19.5586i | −0.150769 | − | 1.30681i | |||||
1.19788 | 0.0798584 | |||||||||
−19.8565 | + | 0.456238i | −1.32083 | + | 0.0303485i | |||||
0.463368 | + | 0.463368i | 0.0307548 | + | 0.0307548i | 0.722317 | − | 0.691562i | ||
−0.691562 | + | 0.722317i | ||||||||
5.83582 | − | 3.44640i | 0.386486 | − | 0.228244i | |||||
−8.36381 | + | 8.36381i | −0.552696 | + | 0.552696i | −0.927218 | − | 0.374522i | ||
0.374522 | + | 0.927218i | ||||||||
−1.04627 | − | 0.999273i | −0.0689892 | − | 0.0658901i | |||||
− | 14.0994i | − | 0.927671i | |||||||
−21.9217 | − | 19.0907i | −1.43923 | − | 1.25337i | |||||
9.02414i | 0.591191i | 0.955313 | + | 0.295596i | ||||||
−0.955313 | + | 0.295596i | ||||||||
−12.3532 | + | 12.9343i | −0.807557 | + | 0.845540i | |||||
5.37799 | + | 5.37799i | 0.350821 | + | 0.350821i | |||||
0.779237 | − | 0.854346i | 0.0507240 | − | 0.0556132i | |||||
2.75978 | + | 2.75978i | 0.179267 | + | 0.179267i | |||||
−0.171265 | − | 7.45384i | −0.0111015 | − | 0.483161i | |||||
0.575236i | 0.0372089i | 0.999827 | + | 0.0186045i | ||||||
−0.999827 | + | 0.0186045i | ||||||||
−6.56888 | + | 0.605325i | −0.424019 | + | 0.0390736i | |||||
− | 10.2254i | − | 0.658678i | −0.944212 | − | 0.329339i | ||||
0.944212 | − | 0.329339i | ||||||||
−22.8368 | + | 0.524717i | −1.46801 | + | 0.0337301i | |||||
11.0564 | + | 11.0564i | 0.709268 | + | 0.709268i | |||||
−5.17849 | − | 4.72323i | −0.331519 | − | 0.302374i | |||||
7.67014 | − | 7.67014i | 0.490027 | − | 0.490027i | |||||
−6.02985 | + | 6.31346i | −0.384449 | + | 0.402531i | |||||
10.7793 | + | 20.3312i | 0.685871 | + | 1.29364i | |||||
−0.466098 | − | 6.75235i | −0.0295973 | − | 0.428775i | |||||
−11.3790 | −0.721116 | |||||||||
−11.3962 | + | 11.9322i | −0.720759 | + | 0.754660i | |||||
−9.67088 | − | 9.67088i | −0.610421 | − | 0.610421i | 0.332635 | − | 0.943056i | ||
−0.943056 | + | 0.332635i | ||||||||
−0.765893 | − | 16.6579i | −0.0482467 | − | 1.04935i | |||||
1.77696 | + | 1.77696i | 0.111717 | + | 0.111717i | |||||
0.184610 | + | 8.03461i | 0.0115834 | + | 0.504136i | |||||
−2.49812 | −0.156438 | |||||||||
15.7306 | − | 2.92399i | 0.983160 | − | 0.182749i | |||||
18.8850i | 1.17802i | 0.808127 | + | 0.589008i | ||||||
−0.808127 | + | 0.589008i | ||||||||
4.69589 | − | 0.107897i | 0.292354 | − | 0.00671735i | |||||
10.9473 | + | 10.9473i | 0.680230 | + | 0.680230i | |||||
−1.02873 | − | 22.3745i | −0.0637991 | − | 1.38761i | |||||
−17.4095 | − | 17.4095i | −1.07762 | − | 1.07762i | |||||
1.43862 | + | 1.37400i | 0.0888783 | + | 0.0848858i | |||||
−12.0775 | −0.744732 | −0.372366 | − | 0.928086i | ||||||
−0.372366 | + | 0.928086i | ||||||||
11.4309 | − | 0.789045i | 0.703521 | − | 0.0485623i | |||||
10.6785 | 0.655973 | |||||||||
−20.6492 | − | 5.82437i | −1.26608 | − | 0.357115i | |||||
4.08224 | + | 4.08224i | 0.249829 | + | 0.249829i | |||||
22.2958 | + | 20.3357i | 1.36193 | + | 1.24220i | |||||
8.54359 | − | 8.54359i | 0.520912 | − | 0.520912i | −0.396935 | − | 0.917847i | ||
0.917847 | + | 0.396935i | ||||||||
−12.5808 | + | 0.289066i | −0.765641 | + | 0.0175920i | |||||
8.30882i | 0.504725i | 0.967633 | + | 0.252362i | ||||||
−0.967633 | + | 0.252362i | ||||||||
6.03351 | − | 0.555991i | 0.365835 | − | 0.0337119i | |||||
−14.2848 | −0.864553 | |||||||||
14.9900 | − | 0.344422i | 0.905578 | − | 0.0208073i | |||||
1.84241 | − | 1.84241i | 0.111102 | − | 0.111102i | |||||
−0.554026 | − | 0.505320i | −0.0333485 | − | 0.0304167i | |||||
9.55608 | − | 9.55608i | 0.574169 | − | 0.574169i | −0.359122 | − | 0.933291i | ||
0.933291 | + | 0.359122i | ||||||||
−12.7801 | + | 13.3812i | −0.766497 | + | 0.802548i | |||||
− | 5.73266i | − | 0.343205i | |||||||
15.7480 | + | 13.7143i | 0.941123 | + | 0.819585i | |||||
9.32142 | 0.556069 | 0.278035 | − | 0.960571i | ||||||
0.278035 | + | 0.960571i | ||||||||
2.85065 | + | 2.72259i | 0.169754 | + | 0.162128i | |||||
4.19436 | + | 4.19436i | 0.249329 | + | 0.249329i | 0.820695 | − | 0.571366i | ||
−0.571366 | + | 0.820695i | ||||||||
−0.513767 | − | 11.1742i | −0.0304865 | − | 0.663069i | |||||
−2.10991 | + | 6.87199i | −0.124980 | + | 0.407061i | |||||
0.893655 | + | 38.8938i | 0.0528429 | + | 2.29984i | |||||
27.6368 | 1.63135 | |||||||||
13.4623 | − | 1.55316i | 0.793271 | − | 0.0915209i | |||||
−14.7055 | −0.865028 | |||||||||
30.8243 | − | 0.708243i | 1.81006 | − | 0.0415895i | |||||
−2.03467 | + | 2.03467i | −0.119275 | + | 0.119275i | |||||
1.24945 | + | 27.1750i | 0.0731185 | + | 1.59030i | |||||
−13.7219 | − | 13.7219i | −0.801640 | − | 0.801640i | 0.181712 | − | 0.983352i | ||
−0.983352 | + | 0.181712i | ||||||||
3.88299 | − | 4.06562i | 0.226461 | − | 0.237112i | |||||
1.22648i | 0.0714083i | |||||||||
−8.26269 | + | 9.48797i | −0.480259 | + | 0.551477i | |||||
21.8578 | 1.26832 | |||||||||
0.384421 | + | 0.367152i | 0.0222689 | + | 0.0212686i | |||||
1.80032 | − | 1.80032i | 0.104115 | − | 0.104115i | |||||
−0.523932 | + | 0.574433i | −0.0302493 | + | 0.0331649i | |||||
−10.5142 | − | 10.5142i | −0.606026 | − | 0.606026i | |||||
11.6836 | − | 0.268451i | 0.672315 | − | 0.0154476i | |||||
−5.26329 | −0.302368 | |||||||||
3.56643 | − | 17.0669i | 0.204549 | − | 0.978856i | |||||
7.43410 | 0.425675 | |||||||||
5.13051 | − | 0.117883i | 0.293292 | − | 0.00673890i | |||||
9.90107 | + | 9.90107i | 0.565084 | + | 0.565084i | 0.930747 | − | 0.365663i | ||
−0.365663 | + | 0.930747i | ||||||||
−26.7989 | − | 24.4429i | −1.52701 | − | 1.39276i | |||||
6.28081 | − | 6.28081i | 0.357303 | − | 0.357303i | |||||
5.19156 | + | 4.95835i | 0.294861 | + | 0.281615i | |||||
17.4462 | 0.989283 | 0.494642 | − | 0.869097i | ||||||
0.494642 | + | 0.869097i | ||||||||
−0.799419 | − | 11.5812i | −0.0452582 | − | 0.655654i | |||||
9.14849i | 0.517103i | 0.965997 | + | 0.258552i | ||||||
−0.965997 | + | 0.258552i | ||||||||
15.4633 | − | 16.1906i | 0.872647 | − | 0.913691i | |||||
12.5066 | + | 12.5066i | 0.704665 | + | 0.704665i | |||||
10.0299 | − | 0.461155i | 0.564229 | − | 0.0259420i | |||||
−19.0979 | + | 19.0979i | −1.07264 | + | 1.07264i | −0.0754990 | + | 0.997146i | ||
−0.997146 | + | 0.0754990i | ||||||||
5.53308 | − | 0.127132i | 0.310280 | − | 0.00712924i | |||||
−53.5539 | −2.99845 | |||||||||
−10.2373 | + | 13.5349i | −0.572285 | + | 0.756626i | |||||
−12.9597 | −0.723342 | |||||||||
0.0545271 | + | 2.37314i | 0.00303868 | + | 0.132250i | |||||
1.93795 | − | 6.31191i | 0.107830 | − | 0.351204i | |||||
7.84310 | − | 0.360609i | 0.435728 | − | 0.0200338i | |||||
−1.86664 | − | 1.86664i | −0.103542 | − | 0.103542i | |||||
7.68076 | + | 7.33573i | 0.425398 | + | 0.406289i | |||||
−11.3469 | −0.627485 | |||||||||
1.54664 | + | 22.4061i | 0.0853988 | + | 1.23717i | |||||
− | 12.4785i | − | 0.687964i | |||||||
−8.39385 | + | 8.78865i | −0.462066 | + | 0.483799i | |||||
−3.09582 | + | 3.09582i | −0.170162 | + | 0.170162i | −0.787050 | − | 0.616889i | ||
0.616889 | + | 0.787050i | ||||||||
−19.7268 | + | 21.6282i | −1.08265 | + | 1.18700i | |||||
−7.53504 | + | 7.53504i | −0.412918 | + | 0.412918i | |||||
−12.7628 | + | 0.293247i | −0.698347 | + | 0.0160458i | |||||
−32.0073 | −1.74875 | |||||||||
8.32315 | + | 6.91861i | 0.454065 | + | 0.377441i | |||||
12.1693i | 0.662903i | 0.943472 | + | 0.331452i | ||||||
−0.943472 | + | 0.331452i | ||||||||
21.0253 | − | 0.483093i | 1.14362 | − | 0.0262768i | |||||
7.72056 | − | 7.72056i | 0.419323 | − | 0.419323i | |||||
−4.33077 | + | 4.74821i | −0.234869 | + | 0.257508i | |||||
−8.81720 | − | 8.81720i | −0.477478 | − | 0.477478i | |||||
4.00894 | − | 14.2129i | 0.216779 | − | 0.768545i | |||||
6.56604 | 0.354533 | |||||||||
7.93579 | − | 9.11260i | 0.427869 | − | 0.491318i | |||||
0.795346 | 0.0428200 | |||||||||
11.3170 | + | 10.8086i | 0.608403 | + | 0.581073i | |||||
−8.14038 | − | 8.14038i | −0.436999 | − | 0.436999i | 0.454002 | − | 0.891001i | ||
−0.891001 | + | 0.454002i | ||||||||
15.9633 | − | 0.733957i | 0.855721 | − | 0.0393442i | |||||
11.7882 | + | 11.7882i | 0.631010 | + | 0.631010i | 0.948321 | − | 0.317311i | ||
−0.317311 | + | 0.948321i | ||||||||
2.46055 | − | 0.0565355i | 0.131522 | − | 0.00302195i | |||||
− | 22.1452i | − | 1.18202i | |||||||
18.3170 | − | 23.0947i | 0.976297 | − | 1.23095i | |||||
4.06776 | 0.216505 | 0.108253 | − | 0.994123i | ||||||
0.108253 | + | 0.994123i | ||||||||
0.0146018 | + | 0.635503i | 0.000776078 | + | 0.0337766i | |||||
8.38950 | + | 8.38950i | 0.445268 | + | 0.445268i | |||||
14.8362 | − | 0.682136i | 0.786316 | − | 0.0361531i | |||||
2.89819 | + | 2.89819i | 0.153389 | + | 0.153389i | |||||
−4.07966 | + | 4.27155i | −0.215617 | + | 0.225758i | |||||
−7.30143 | −0.385355 | −0.192677 | − | 0.981262i | ||||||
−0.192677 | + | 0.981262i | ||||||||
−9.43960 | + | 10.8394i | −0.497510 | + | 0.571287i | |||||
−15.7264 | − | 10.6621i | −0.827707 | − | 0.561161i | |||||
9.61114 | − | 10.0632i | 0.505150 | − | 0.528910i | |||||
8.87939 | − | 8.87939i | 0.466047 | − | 0.466047i | |||||
−24.7643 | + | 27.1512i | −1.29800 | + | 1.42311i | |||||
−20.4027 | − | 20.4027i | −1.06793 | − | 1.06793i | |||||
3.85200 | − | 0.0885067i | 0.201347 | − | 0.00462632i | |||||
8.15940i | 0.425917i | 0.977061 | + | 0.212959i | ||||||
−0.977061 | + | 0.212959i | ||||||||
−1.92094 | + | 0.177015i | −0.100136 | + | 0.00922755i | |||||
19.0225i | 0.990272i | |||||||||
−0.306536 | − | 13.3411i | −0.0159360 | − | 0.693571i | |||||
−12.3886 | − | 12.3886i | −0.643185 | − | 0.643185i | |||||
2.74906 | + | 2.50738i | 0.142532 | + | 0.130001i | |||||
−7.35016 | − | 7.35016i | −0.380577 | − | 0.380577i | 0.490733 | − | 0.871310i | ||
−0.871310 | + | 0.490733i | ||||||||
7.70974 | − | 8.07236i | 0.398661 | − | 0.417412i | |||||
− | 9.07053i | − | 0.468400i | |||||||
10.1168 | − | 0.698337i | 0.521734 | − | 0.0360140i | |||||
54.2581i | 2.79443i | |||||||||
14.9309 | + | 14.2602i | 0.767965 | + | 0.733467i | |||||
20.2426 | − | 20.2426i | 1.03979 | − | 1.03979i | 0.0406169 | − | 0.999175i | ||
0.999175 | − | 0.0406169i | ||||||||
9.40391 | + | 15.9237i | 0.482410 | + | 0.816868i | |||||
−3.12401 | − | 3.12401i | −0.160048 | − | 0.160048i | |||||
5.53455 | − | 0.127166i | 0.283172 | − | 0.00650639i | |||||
18.4669 | 0.943615 | 0.471807 | − | 0.881702i | ||||||
0.471807 | + | 0.881702i | ||||||||
−5.14337 | + | 7.13506i | −0.262472 | + | 0.364109i | |||||
38.4718 | 1.96070 | |||||||||
24.8383 | − | 0.570704i | 1.26424 | − | 0.0290481i | |||||
7.23693 | − | 7.23693i | 0.367874 | − | 0.367874i | |||||
0.339991 | + | 7.39467i | 0.0172604 | + | 0.375408i | |||||
−16.3368 | + | 16.3368i | −0.828309 | + | 0.828309i | −0.987283 | − | 0.158974i | ||
0.158974 | + | 0.987283i | ||||||||
8.90420 | + | 8.50421i | 0.450882 | + | 0.430628i | |||||
−0.730525 | −0.0369442 | |||||||||
−0.995976 | − | 14.4287i | −0.0503044 | − | 0.728758i | |||||
−1.09360 | −0.0551648 | |||||||||
−23.5590 | − | 22.5007i | −1.18689 | − | 1.13357i | |||||
−7.53038 | + | 7.53038i | −0.378895 | + | 0.378895i | |||||
16.8241 | − | 18.4458i | 0.845445 | − | 0.926935i | |||||
−13.0533 | − | 13.0533i | −0.655126 | − | 0.655126i | 0.299097 | − | 0.954223i | ||
−0.954223 | + | 0.299097i | ||||||||
0.702011 | + | 30.5530i | 0.0351886 | + | 1.53149i | |||||
10.4203 | − | 5.52473i | 0.521670 | − | 0.276582i | |||||
0.183535 | + | 1.99169i | 0.00917676 | + | 0.0995845i | |||||
− | 26.3416i | − | 1.31544i | −0.753263 | − | 0.657719i | ||||
0.753263 | − | 0.657719i | ||||||||
−16.5847 | + | 0.381063i | −0.827169 | + | 0.0190057i | |||||
−8.93313 | + | 8.93313i | −0.444991 | + | 0.444991i | |||||
−9.12451 | + | 10.0040i | −0.453961 | + | 0.497717i | |||||
−5.88852 | + | 5.88852i | −0.292603 | + | 0.292603i | |||||
−36.5825 | − | 34.9391i | −1.81556 | − | 1.73400i | |||||
23.1788i | 1.14893i | |||||||||
−2.18747 | + | 2.51186i | −0.108296 | + | 0.124356i | |||||
−0.821310 | −0.0406112 | −0.0203056 | − | 0.999794i | ||||||
−0.0203056 | + | 0.999794i | ||||||||
−17.2270 | − | 16.4531i | −0.850780 | − | 0.812562i | |||||
−5.82839 | + | 5.82839i | −0.287493 | + | 0.287493i | |||||
−1.04951 | − | 22.8265i | −0.0517058 | − | 1.12458i | |||||
1.42290 | − | 1.42290i | 0.0700162 | − | 0.0700162i | |||||
−1.63344 | + | 0.0375312i | −0.0802793 | + | 0.00184456i | |||||
− | 31.0489i | − | 1.52413i | |||||||
−23.3983 | − | 18.5578i | −1.14720 | − | 0.909870i | |||||
− | 10.1720i | − | 0.498123i | |||||||
−15.6943 | − | 28.0264i | −0.767636 | − | 1.37081i | |||||
2.51426 | − | 2.51426i | 0.122830 | − | 0.122830i | −0.643020 | − | 0.765849i | ||
0.765849 | + | 0.643020i | ||||||||
−11.4676 | + | 0.527256i | −0.559562 | + | 0.0257274i | |||||
9.64923 | + | 9.64923i | 0.470275 | + | 0.470275i | 0.902003 | − | 0.431729i | ||
−0.431729 | + | 0.902003i | ||||||||
23.0660 | − | 24.1509i | 1.12283 | − | 1.17565i | |||||
8.58903 | 0.417613 | |||||||||
9.35059 | − | 10.7372i | 0.454105 | − | 0.521444i | |||||
0.757432i | 0.0367409i | |||||||||
4.44693 | + | 4.24717i | 0.215454 | + | 0.205776i | |||||
−8.62467 | − | 8.62467i | −0.417377 | − | 0.417377i | |||||
−22.4672 | + | 24.6327i | −1.08599 | + | 1.19067i | |||||
−15.1226 | − | 15.1226i | −0.730128 | − | 0.730128i | |||||
0.294408 | + | 12.8133i | 0.0141976 | + | 0.617911i | |||||
5.87725 | 0.283097 | 0.141549 | − | 0.989931i | ||||||
0.141549 | + | 0.989931i | ||||||||
−10.7257 | + | 12.9031i | −0.516040 | + | 0.620800i | |||||
− | 2.62302i | − | 0.126054i | −0.998012 | − | 0.0630271i | ||||
0.998012 | − | 0.0630271i | ||||||||
−0.270561 | − | 11.7754i | −0.0129874 | − | 0.565238i | |||||
−11.9851 | + | 11.9851i | −0.574639 | + | 0.574639i | |||||
−19.6712 | + | 21.5672i | −0.942077 | + | 1.03288i | |||||
−0.617000 | + | 2.00957i | −0.0295151 | + | 0.0961310i | |||||
−10.8146 | − | 10.3288i | −0.516744 | − | 0.493531i | |||||
− | 34.6282i | − | 1.65272i | −0.563146 | − | 0.826358i | ||||
0.563146 | − | 0.826358i | ||||||||
2.15300 | + | 31.1904i | 0.102640 | + | 1.48694i | |||||
− | 12.2498i | − | 0.583322i | |||||||
−8.17850 | − | 7.81111i | −0.389012 | − | 0.371537i | |||||
3.58478 | + | 3.58478i | 0.170318 | + | 0.170318i | 0.787119 | − | 0.616801i | ||
−0.616801 | + | 0.787119i | ||||||||
−0.317665 | − | 6.90909i | −0.0150757 | − | 0.327891i | |||||
−11.1389 | + | 11.1389i | −0.528032 | + | 0.528032i | |||||
−0.0531074 | − | 2.31135i | −0.00251471 | − | 0.109446i | |||||
−0.292226 | −0.0138218 | |||||||||
27.5794 | − | 3.82571i | 1.30301 | − | 0.180748i | |||||
− | 6.98073i | − | 0.329441i | −0.986340 | − | 0.164721i | ||||
0.986340 | − | 0.164721i | ||||||||
0.0389136 | + | 1.69361i | 0.00183441 | + | 0.0798374i | |||||
29.2578 | + | 29.2578i | 1.37770 | + | 1.37770i | |||||
−1.29009 | − | 28.0590i | −0.0606809 | − | 1.31979i | |||||
−4.54280 | + | 4.54280i | −0.213439 | + | 0.213439i | |||||
−0.640076 | + | 0.670181i | −0.0300402 | + | 0.0314532i | |||||
− | 38.9776i | − | 1.82730i | |||||||
5.06224 | + | 8.13896i | 0.237061 | + | 0.381142i | |||||
− | 1.61947i | − | 0.0757556i | −0.999282 | − | 0.0378778i | ||||
0.999282 | − | 0.0378778i | ||||||||
−12.0968 | − | 11.5534i | −0.565246 | − | 0.539854i | |||||
−4.49297 | + | 4.49297i | −0.209714 | + | 0.209714i | |||||
1.37882 | − | 1.51172i | 0.0642880 | − | 0.0704845i | |||||
11.2678 | + | 11.2678i | 0.524792 | + | 0.524792i | 0.919015 | − | 0.394223i | ||
−0.394223 | + | 0.919015i | ||||||||
19.9343 | − | 0.458026i | 0.927426 | − | 0.0213093i | |||||
− | 26.2153i | − | 1.21833i | −0.793043 | − | 0.609165i | ||||
0.793043 | − | 0.609165i | ||||||||
26.2791 | − | 31.6140i | 1.21998 | − | 1.46764i | |||||
−3.94648 | −0.183013 | |||||||||
−12.7587 | + | 0.293154i | −0.591035 | + | 0.0135801i | |||||
7.45814 | − | 7.45814i | 0.345121 | − | 0.345121i | −0.513167 | − | 0.858289i | ||
0.858289 | + | 0.513167i | ||||||||
−18.6883 | − | 17.0453i | −0.863867 | − | 0.787921i | |||||
37.1333 | + | 37.1333i | 1.71465 | + | 1.71465i | |||||
−7.42891 | + | 7.77832i | −0.342670 | + | 0.358787i | |||||
12.3077i | 0.567107i | |||||||||
1.23322 | + | 1.07396i | 0.0567637 | + | 0.0494332i | |||||
− | 22.2617i | − | 1.02360i | |||||||
−3.81224 | + | 3.99154i | −0.175102 | + | 0.183338i | |||||
2.08359 | + | 0.639726i | 0.0956018 | + | 0.0293526i | |||||
10.5330 | − | 0.484284i | 0.482778 | − | 0.0221971i | |||||
8.52714 | − | 8.52714i | 0.390431 | − | 0.390431i | |||||
−0.813292 | + | 0.0186868i | −0.0371991 | + | 0.000854716i | |||||
22.0408i | 1.00707i | 0.863975 | + | 0.503534i | ||||||
−0.863975 | + | 0.503534i | ||||||||
−1.06923 | − | 9.26768i | −0.0488033 | − | 0.423010i | |||||
23.4835 | 1.07076 | |||||||||
14.4571 | − | 0.332178i | 0.658504 | − | 0.0151303i | |||||
−0.922721 | − | 0.922721i | −0.0419853 | − | 0.0419853i | |||||
−1.48373 | − | 32.2706i | −0.0674424 | − | 1.46685i | |||||
−5.55184 | − | 5.55184i | −0.252096 | − | 0.252096i | |||||
−15.2728 | + | 15.9911i | −0.692788 | + | 0.725373i | |||||
21.9766i | 0.995856i | 0.867218 | + | 0.497928i | ||||||
−0.867218 | + | 0.497928i | ||||||||
6.50966 | − | 7.47499i | 0.294679 | − | 0.338377i | |||||
−5.83869 | −0.264035 | |||||||||
11.0935 | + | 10.5952i | 0.501154 | + | 0.478642i | |||||
−17.7224 | − | 17.7224i | −0.799803 | − | 0.799803i | 0.183261 | − | 0.983064i | ||
−0.983064 | + | 0.183261i | ||||||||
−9.12210 | − | 8.32014i | −0.411256 | − | 0.375101i | |||||
11.0083 | − | 11.0083i | 0.495787 | − | 0.495787i | |||||
−28.3948 | + | 15.9007i | −1.27754 | + | 0.715406i | |||||
26.4803i | 1.19020i | |||||||||
9.53160 | − | 0.878342i | 0.427982 | − | 0.0394387i | |||||
− | 19.4662i | − | 0.873176i | |||||||
−0.369653 | − | 16.0881i | −0.0165646 | − | 0.720925i | |||||
−30.3549 | + | 30.3549i | −1.35887 | + | 1.35887i | −0.483562 | + | 0.875310i | ||
−0.875310 | + | 0.483562i | ||||||||
−17.2405 | − | 15.7248i | −0.771017 | − | 0.703234i | |||||
4.96240 | − | 4.96240i | 0.221704 | − | 0.221704i | |||||
13.3589 | − | 13.9872i | 0.596238 | − | 0.624281i | |||||
7.49320 | 0.334105 | 0.167053 | − | 0.985948i | ||||||
0.167053 | + | 0.985948i | ||||||||
23.5267 | − | 1.62399i | 1.04796 | − | 0.0723382i | |||||
− | 14.3615i | − | 0.639077i | |||||||
−2.45461 | + | 2.57006i | −0.109121 | + | 0.114253i | |||||
−8.17502 | + | 8.17502i | −0.363066 | + | 0.363066i | |||||
−11.3537 | + | 0.522017i | −0.503737 | + | 0.0231608i | |||||
−21.4192 | + | 21.4192i | −0.949391 | + | 0.949391i | −0.998780 | − | 0.0493888i | ||
0.0493888 | + | 0.998780i | ||||||||
−0.0811527 | − | 3.53194i | −0.00359350 | − | 0.156397i | |||||
47.3405i | 2.09422i | |||||||||
4.64507 | + | 22.1455i | 0.205285 | + | 0.978702i | |||||
8.56479 | + | 16.1543i | 0.378145 | + | 0.713229i | |||||
−26.7004 | + | 0.613490i | −1.17771 | + | 0.0270599i | |||||
17.1379 | + | 17.1379i | 0.755186 | + | 0.755186i | |||||
0.305097 | + | 6.63574i | 0.0134311 | + | 0.292122i | |||||
13.2105 | − | 13.2105i | 0.580996 | − | 0.580996i | |||||
−15.1221 | + | 15.8333i | −0.664425 | + | 0.695676i | |||||
−8.60283 | −0.377622 | |||||||||
31.6005 | − | 2.18131i | 1.38577 | − | 0.0956566i | |||||
28.5238 | 1.24965 | 0.624824 | − | 0.780765i | ||||||
0.624824 | + | 0.780765i | ||||||||
24.0487 | − | 25.1798i | 1.05258 | − | 1.10209i | |||||
2.87573 | − | 2.87573i | 0.125747 | − | 0.125747i | −0.641433 | − | 0.767179i | ||
0.767179 | + | 0.641433i | ||||||||
−1.89588 | + | 2.07862i | −0.0828218 | + | 0.0908048i | |||||
−0.956708 | + | 0.956708i | −0.0417541 | + | 0.0417541i | |||||
−0.392344 | − | 17.0757i | −0.0171070 | − | 0.744535i | |||||
3.62483 | 0.157900 | |||||||||
1.48692 | + | 16.1358i | 0.0647099 | + | 0.702220i | |||||
−22.7674 | −0.989888 | |||||||||
0.346896 | + | 15.0977i | 0.0150682 | + | 0.655800i | |||||
0.979386 | + | 0.979386i | 0.0425017 | + | 0.0425017i | |||||
7.56393 | − | 29.3838i | 0.327938 | − | 1.27395i | |||||
29.6425 | − | 29.6425i | 1.28396 | − | 1.28396i | |||||
−5.63902 | + | 5.90425i | −0.244024 | + | 0.255502i | |||||
− | 35.3621i | − | 1.52884i | |||||||
−28.0271 | + | 32.1833i | −1.21059 | + | 1.39011i | |||||
− | 3.24711i | − | 0.140123i | |||||||
12.3568 | + | 11.8017i | 0.532740 | + | 0.508809i | |||||
−18.8409 | − | 18.8409i | −0.811536 | − | 0.811536i | |||||
−0.817386 | − | 17.7778i | −0.0351747 | − | 0.765035i | |||||
1.13344 | + | 1.13344i | 0.0487304 | + | 0.0487304i | 0.731052 | − | 0.682322i | ||
−0.682322 | + | 0.731052i | ||||||||
−11.7473 | + | 0.269916i | −0.504591 | + | 0.0115939i | |||||
7.64975i | 0.328282i | |||||||||
0.982083 | + | 8.51235i | 0.0421065 | + | 0.364964i | |||||
− | 30.9613i | − | 1.32624i | |||||||
−0.464048 | − | 20.1964i | −0.0198594 | − | 0.864325i | |||||
−13.4249 | − | 13.4249i | −0.574008 | − | 0.574008i | 0.359238 | − | 0.933246i | ||
−0.933246 | + | 0.359238i | ||||||||
0.973915 | + | 21.1823i | 0.0416036 | + | 0.904861i | |||||
5.93640 | − | 5.93640i | 0.253359 | − | 0.253359i | |||||
2.66473 | + | 2.54502i | 0.113624 | + | 0.108520i | |||||
−20.9847 | − | 39.5798i | −0.893977 | − | 1.68616i | |||||
0.696444 | − | 0.799720i | 0.0296426 | − | 0.0340384i | |||||
17.4727 | 0.743017 | |||||||||
13.8212 | + | 13.2003i | 0.587207 | + | 0.560828i | |||||
5.18727 | + | 5.18727i | 0.220187 | + | 0.220187i | |||||
−19.3340 | − | 17.6343i | −0.819943 | − | 0.747859i | |||||
7.79578 | + | 7.79578i | 0.330318 | + | 0.330318i | 0.852707 | − | 0.522389i | ||
−0.522389 | + | 0.852707i | ||||||||
8.10507 | − | 0.186228i | 0.343115 | − | 0.00788368i | |||||
−22.5544 | −0.953951 | |||||||||
−18.8782 | + | 22.7107i | −0.797751 | + | 0.959701i | |||||
6.13638i | 0.259078i | |||||||||
0.302811 | + | 13.1790i | 0.0127733 | + | 0.555922i | |||||
−4.84245 | − | 4.84245i | −0.204085 | − | 0.204085i | 0.597663 | − | 0.801748i | ||
−0.801748 | + | 0.597663i | ||||||||
−3.75671 | + | 4.11881i | −0.158186 | + | 0.173433i | |||||
21.0664 | + | 21.0664i | 0.886272 | + | 0.886272i | |||||
−5.79390 | + | 6.06641i | −0.243536 | + | 0.254990i | |||||
13.6631 | 0.573797 | |||||||||
15.7819 | − | 1.08939i | 0.662194 | − | 0.0457096i | |||||
20.2563 | 0.849190 | 0.424595 | − | 0.905383i | ||||||
0.424595 | + | 0.905383i | ||||||||
−9.78443 | − | 2.75983i | −0.409825 | − | 0.115597i | |||||
18.3379 | + | 18.3379i | 0.767419 | + | 0.767419i | 0.977651 | − | 0.210233i | ||
−0.210233 | + | 0.977651i | ||||||||
−54.9606 | + | 2.52697i | −2.29802 | + | 0.105658i | |||||
−2.15194 | + | 2.15194i | −0.0898985 | + | 0.0898985i | |||||
0.897795 | + | 39.0740i | 0.0374732 | + | 1.63092i | |||||
− | 0.241150i | − | 0.0100566i | |||||||
2.63325 | + | 18.9830i | 0.109719 | + | 0.790959i | |||||
−5.18354 | −0.215793 | −0.107897 | − | 0.994162i | ||||||
−0.107897 | + | 0.994162i | ||||||||
−0.477715 | − | 20.7912i | −0.0198703 | − | 0.864800i | |||||
−9.65759 | + | 9.65759i | −0.401356 | + | 0.401356i | |||||
2.00268 | + | 43.5576i | 0.0831570 | + | 1.80863i | |||||
−36.0214 | + | 36.0214i | −1.49442 | + | 1.49442i | |||||
−2.94280 | − | 2.81061i | −0.121983 | − | 0.116503i | |||||
− | 26.2306i | − | 1.08636i | |||||||
−38.3806 | + | 2.64932i | −1.58820 | + | 0.109630i | |||||
26.8284 | 1.10922 | |||||||||
18.9548 | − | 19.8463i | 0.783014 | − | 0.819842i | |||||
−1.88371 | − | 1.88371i | −0.0777491 | − | 0.0777491i | 0.667163 | − | 0.744912i | ||
−0.744912 | + | 0.667163i | ||||||||
5.87428 | + | 5.35785i | 0.242251 | + | 0.220954i | |||||
3.06153 | − | 9.97142i | 0.126148 | − | 0.410865i | |||||
−1.73404 | + | 0.0398427i | −0.0713894 | + | 0.00164030i | |||||
17.9089 | 0.736673 | |||||||||
−13.6829 | − | 11.3739i | −0.562363 | − | 0.467464i | |||||
44.2304 | 1.81632 | 0.908162 | − | 0.418619i | ||||||
0.908162 | + | 0.418619i | ||||||||
0.710061 | + | 30.9034i | 0.0291342 | + | 1.26798i | |||||
−7.90805 | + | 7.90805i | −0.324198 | + | 0.324198i | |||||
−0.506607 | + | 0.555437i | −0.0207514 | + | 0.0227516i | |||||
−11.8796 | − | 11.8796i | −0.486199 | − | 0.486199i | |||||
2.60385 | + | 2.48689i | 0.106480 | + | 0.101696i | |||||
25.1207i | 1.02640i | 0.858268 | + | 0.513202i | ||||||
−0.858268 | + | 0.513202i | ||||||||
−0.829177 | − | 0.722096i | −0.0338510 | − | 0.0294795i | |||||
21.0826 | 0.859976 | 0.429988 | − | 0.902835i | ||||||
0.429988 | + | 0.902835i | ||||||||
14.5238 | − | 15.2069i | 0.591945 | − | 0.619787i | |||||
−25.5590 | + | 25.5590i | −1.04084 | + | 1.04084i | |||||
0.759095 | + | 16.5100i | 0.0308871 | + | 0.671783i | |||||
24.2284 | + | 24.2284i | 0.985026 | + | 0.985026i | |||||
−0.170981 | − | 7.44145i | −0.00694561 | − | 0.302288i | |||||
−15.2446 | −0.618759 | −0.309379 | − | 0.950939i | ||||||
−0.309379 | + | 0.950939i | ||||||||
24.2458 | + | 4.48794i | 0.983297 | + | 0.182010i | |||||
27.8089 | 1.12687 | |||||||||
0.241501 | + | 10.5106i | 0.00977807 | + | 0.425563i | |||||
−13.3842 | − | 13.3842i | −0.541466 | − | 0.541466i | |||||
0.333334 | + | 7.24989i | 0.0134742 | + | 0.293059i | |||||
21.4123 | − | 21.4123i | 0.864833 | − | 0.864833i | −0.127062 | − | 0.991895i | ||
0.991895 | + | 0.127062i | ||||||||
−13.6769 | + | 14.3202i | −0.551954 | + | 0.577915i | |||||
13.0955 | 0.528060 | |||||||||
33.6878 | − | 38.6834i | 1.35732 | − | 1.55860i | |||||
47.5231i | 1.91321i | 0.291390 | + | 0.956604i | ||||||
−0.291390 | + | 0.956604i | ||||||||
9.08409 | + | 8.67602i | 0.365416 | + | 0.349001i | |||||
−1.43559 | − | 1.43559i | −0.0577014 | − | 0.0577014i | 0.677667 | − | 0.735369i | ||
−0.735369 | + | 0.677667i | ||||||||
−6.84166 | + | 7.50111i | −0.274768 | + | 0.301252i | |||||
1.43046 | − | 1.43046i | 0.0574024 | − | 0.0574024i | |||||
0.566749 | + | 24.6661i | 0.0227246 | + | 0.989022i | |||||
25.8455 | 1.03548 | |||||||||
16.3479 | − | 1.50647i | 0.654441 | − | 0.0603071i | |||||
22.2498 | 0.889992 | |||||||||
−12.9345 | + | 0.297193i | −0.516967 | + | 0.0118782i | |||||
16.8803 | + | 5.18277i | 0.674136 | + | 0.206980i | |||||
23.3933 | + | 21.3367i | 0.933495 | + | 0.851428i | |||||
−4.76450 | − | 4.76450i | −0.189973 | − | 0.189973i | |||||
−17.2760 | + | 18.0886i | −0.688292 | + | 0.720665i | |||||
−0.490988 | −0.0195459 | −0.00977296 | − | 0.999952i | ||||||
−0.00977296 | + | 0.999952i | ||||||||
0.977828 | + | 14.1658i | 0.0388959 | + | 0.563484i | |||||
18.3588i | 0.729696i | |||||||||
−27.6218 | − | 26.3810i | −1.09700 | − | 1.04772i | |||||
8.52421 | − | 8.52421i | 0.338273 | − | 0.338273i | |||||
0.359490 | + | 7.81877i | 0.0142547 | + | 0.310034i | |||||
−19.0886 | + | 19.0886i | −0.756320 | + | 0.756320i | |||||
−1.73973 | − | 75.7167i | −0.0688765 | − | 2.99765i | |||||
13.3986 | 0.530042 | |||||||||
−19.4688 | − | 14.0343i | −0.769573 | − | 0.554754i | |||||
16.9893i | 0.671039i | 0.942033 | + | 0.335519i | ||||||
−0.942033 | + | 0.335519i | ||||||||
−0.421004 | − | 18.3230i | −0.0166157 | − | 0.723151i | |||||
12.5699 | − | 12.5699i | 0.495709 | − | 0.495709i | −0.414390 | − | 0.910099i | ||
0.910099 | + | 0.414390i | ||||||||
−3.35347 | + | 0.154185i | −0.132145 | + | 0.00607575i | |||||
−4.98204 | − | 4.98204i | −0.196168 | − | 0.196168i | |||||
8.98699 | + | 2.53490i | 0.353588 | + | 0.0997344i | |||||
−37.3005 | −1.46643 | −0.733217 | − | 0.679995i | ||||||
−0.733217 | + | 0.679995i | ||||||||
0.764630 | + | 11.0772i | 0.0300375 | + | 0.435153i | |||||
3.01272 | 0.118260 | |||||||||
2.57849 | − | 2.69976i | 0.101137 | − | 0.105893i | |||||
4.57850 | + | 4.57850i | 0.179446 | + | 0.179446i | |||||
−10.1220 | + | 11.0977i | −0.396410 | + | 0.434619i | |||||
−19.3569 | − | 19.3569i | −0.757496 | − | 0.757496i | 0.218370 | − | 0.975866i | ||
−0.975866 | + | 0.218370i | ||||||||
−0.368610 | − | 16.0427i | −0.0144138 | − | 0.627320i | |||||
− | 2.98401i | − | 0.116595i | |||||||
−31.6284 | + | 2.91457i | −1.23488 | + | 0.113795i | |||||
−32.5846 | −1.27125 | |||||||||
17.6427 | − | 0.405372i | 0.687783 | − | 0.0158030i | |||||
27.9807 | + | 27.9807i | 1.08997 | + | 1.08997i | 0.995530 | + | 0.0944429i | ||
0.0944429 | + | 0.995530i | ||||||||
−12.6984 | − | 11.5821i | −0.494286 | − | 0.450831i | |||||
−27.6554 | − | 27.6554i | −1.07567 | − | 1.07567i | −0.996892 | − | 0.0787770i | ||
−0.0787770 | − | 0.996892i | ||||||||
−4.47756 | − | 4.27642i | −0.174025 | − | 0.166208i | |||||
6.21706 | 0.241451 | |||||||||
−31.2197 | − | 27.1880i | −1.21156 | − | 1.05510i | |||||
15.0749 | + | 28.4331i | 0.584578 | + | 1.10259i | |||||
−10.8981 | − | 10.4086i | −0.422294 | − | 0.403324i | |||||
−3.50479 | + | 3.50479i | −0.135706 | + | 0.135706i | |||||
−0.829209 | − | 18.0350i | −0.0320831 | − | 0.697794i | |||||
0.898696 | + | 0.898696i | 0.0347456 | + | 0.0347456i | |||||
−1.03977 | − | 45.2532i | −0.0401700 | − | 1.74828i | |||||
− | 18.2611i | − | 0.704963i | |||||||
−9.51143 | + | 11.9924i | −0.366911 | + | 0.462615i | |||||
10.1211i | 0.390141i | 0.980789 | + | 0.195070i | ||||||
−0.980789 | + | 0.195070i | ||||||||
−17.2054 | + | 0.395326i | −0.662728 | + | 0.0152274i | |||||
−1.48315 | − | 1.48315i | −0.0570865 | − | 0.0570865i | |||||
1.36603 | + | 29.7107i | 0.0525398 | + | 1.14272i | |||||
−22.3139 | − | 22.3139i | −0.857593 | − | 0.857593i | 0.133461 | − | 0.991054i | ||
−0.991054 | + | 0.133461i | ||||||||
11.1664 | + | 10.6648i | 0.428845 | + | 0.409581i | |||||
12.8819i | 0.494363i | |||||||||
−6.85389 | − | 5.96878i | −0.262835 | − | 0.228892i | |||||
− | 0.509452i | − | 0.0195223i | |||||||
12.1797 | − | 12.7525i | 0.466384 | − | 0.488320i | |||||
14.4876 | − | 14.4876i | 0.554354 | − | 0.554354i | −0.373340 | − | 0.927695i | ||
0.927695 | + | 0.373340i | ||||||||
20.2250 | + | 5.20628i | 0.773322 | + | 0.199067i | |||||
−15.9034 | − | 15.9034i | −0.607638 | − | 0.607638i | |||||
0.213301 | + | 9.28333i | 0.00814388 | + | 0.354439i | |||||
9.19563 | 0.350835 | |||||||||
13.1416 | + | 10.9239i | 0.501017 | + | 0.416470i | |||||
−26.5755 | −1.01244 | |||||||||
0.0258372 | + | 1.12449i | 0.000983606 | + | 0.0428087i | |||||
−24.4373 | + | 24.4373i | −0.929638 | + | 0.929638i | −0.997682 | − | 0.0680444i | ||
0.0680444 | + | 0.997682i | ||||||||
−14.9140 | + | 16.3515i | −0.566944 | + | 0.621591i | |||||
30.7211 | − | 30.7211i | 1.16700 | − | 1.16700i | |||||
11.2448 | − | 11.7736i | 0.426845 | − | 0.446922i | |||||
27.7554 | 1.05282 | |||||||||
1.55627 | + | 22.5457i | 0.0589904 | + | 0.854591i | |||||
−12.0282 | −0.455599 | |||||||||
−16.2838 | + | 17.0496i | −0.616349 | + | 0.645339i | |||||
4.96082 | − | 4.96082i | 0.187635 | − | 0.187635i | |||||
0.159864 | + | 3.47699i | 0.00604231 | + | 0.131418i | |||||
16.1800 | + | 16.1800i | 0.611110 | + | 0.611110i | 0.943235 | − | 0.332125i | ||
−0.332125 | + | 0.943235i | ||||||||
31.3097 | − | 0.719397i | 1.18171 | − | 0.0271519i | |||||
−17.1306 | + | 9.08241i | −0.646092 | + | 0.342550i | |||||
33.2472 | + | 25.1470i | 1.25305 | + | 0.947764i | |||||
− | 5.91285i | − | 0.222691i | |||||||
0.132143 | + | 5.75117i | 0.00497328 | + | 0.216448i | |||||
−16.6615 | + | 16.6615i | −0.626619 | + | 0.626619i | |||||
−0.898026 | + | 0.0412893i | −0.0337499 | + | 0.00155175i | |||||
11.6536 | − | 11.6536i | 0.437660 | − | 0.437660i | −0.453563 | − | 0.891224i | ||
0.891224 | + | 0.453563i | ||||||||
−11.5889 | + | 12.1340i | −0.434923 | + | 0.455379i | |||||
12.0266i | 0.451031i | |||||||||
1.44639 | + | 20.9538i | 0.0542058 | + | 0.785278i | |||||
−1.15407 | −0.0432202 | |||||||||
−4.00343 | + | 4.19173i | −0.149825 | + | 0.156872i | |||||
41.2639 | − | 41.2639i | 1.54318 | − | 1.54318i | |||||
−6.17182 | − | 5.62923i | −0.230652 | − | 0.210374i | |||||
0.316223 | − | 0.316223i | 0.0118096 | − | 0.0118096i | |||||
−0.237191 | − | 10.3231i | −0.00885188 | − | 0.385253i | |||||
− | 49.0662i | − | 1.82986i | −0.403611 | − | 0.914931i | ||||
0.403611 | − | 0.914931i | ||||||||
−15.6318 | − | 12.9940i | −0.582564 | − | 0.484256i | |||||
− | 39.7651i | − | 1.48093i | |||||||
14.5636 | − | 22.5810i | 0.542000 | − | 0.840379i | |||||
−5.62120 | + | 5.62120i | −0.209055 | + | 0.209055i | |||||
14.5400 | + | 13.2617i | 0.540374 | + | 0.492868i | |||||
3.63388 | + | 3.63388i | 0.134959 | + | 0.134959i | |||||
12.8425 | + | 12.2656i | 0.476630 | + | 0.455219i | |||||
−10.6283 | −0.394182 | −0.197091 | − | 0.980385i | ||||||
−0.197091 | + | 0.980385i | ||||||||
−39.1920 | − | 34.1307i | −1.45255 | − | 1.26497i | |||||
− | 0.378928i | − | 0.0140344i | |||||||
28.1834 | − | 29.5090i | 1.04311 | − | 1.09218i | |||||
4.57600 | + | 4.57600i | 0.169250 | + | 0.169250i | |||||
0.250269 | + | 5.44324i | 0.00925020 | + | 0.201188i | |||||
36.3785 | + | 36.3785i | 1.34367 | + | 1.34367i | 0.892375 | + | 0.451295i | ||
0.451295 | + | 0.892375i | ||||||||
−11.5361 | + | 0.265062i | −0.425805 | + | 0.00978363i | |||||
−8.43297 | −0.311055 | |||||||||
−0.312674 | − | 2.71015i | −0.0115253 | − | 0.0998973i | |||||
78.6227i | 2.89610i | |||||||||
−26.8948 | + | 0.617956i | −0.990010 | + | 0.0227473i | |||||
−9.52584 | + | 9.52584i | −0.350414 | + | 0.350414i | −0.860263 | − | 0.509850i | ||
0.509850 | + | 0.860263i | ||||||||
18.8522 | − | 0.866785i | 0.693022 | − | 0.0318637i | |||||
5.25092 | − | 17.1023i | 0.192897 | − | 0.628268i | |||||
17.1131 | − | 17.9180i | 0.628241 | − | 0.657790i | |||||
− | 15.1555i | − | 0.556001i | −0.960581 | − | 0.278000i | ||||
0.960581 | − | 0.278000i | ||||||||
−3.45573 | + | 3.96818i | −0.126693 | + | 0.145481i | |||||
− | 0.797372i | − | 0.0292134i | |||||||
10.1532 | − | 10.6307i | 0.371734 | − | 0.389219i | |||||
−24.7937 | − | 24.7937i | −0.907154 | − | 0.907154i | |||||
11.6635 | + | 10.6381i | 0.426459 | + | 0.388968i | |||||
−41.0254 | + | 41.0254i | −1.49903 | + | 1.49903i | |||||
12.8243 | − | 0.294661i | 0.468276 | − | 0.0107595i | |||||
−40.2293 | −1.46799 | −0.733994 | − | 0.679156i | ||||||
−0.733994 | + | 0.679156i | ||||||||
1.31599 | + | 14.2808i | 0.0479891 | + | 0.520769i | |||||
10.6327i | 0.387477i | |||||||||
−76.7123 | + | 1.76260i | −2.79370 | + | 0.0641902i | |||||
−12.3955 | − | 12.3955i | −0.451120 | − | 0.451120i | |||||
−19.6766 | + | 21.5732i | −0.715632 | + | 0.784610i | |||||
−35.3310 | + | 35.3310i | −1.28413 | + | 1.28413i | −0.345827 | + | 0.938298i | ||
−0.938298 | + | 0.345827i | ||||||||
29.2774 | + | 27.9622i | 1.06340 | + | 1.01563i | |||||
− | 1.95369i | − | 0.0709144i | |||||||
−22.2081 | + | 13.8129i | −0.805572 | + | 0.501047i | |||||
5.10254i | 0.184967i | 0.995714 | + | 0.0924834i | ||||||
−0.995714 | + | 0.0924834i | ||||||||
4.31536 | − | 4.51833i | 0.156329 | − | 0.163682i | |||||
−35.9198 | + | 35.9198i | −1.30038 | + | 1.30038i | |||||
0.359585 | + | 7.82084i | 0.0130093 | + | 0.282948i | |||||
−5.44314 | − | 5.44314i | −0.196797 | − | 0.196797i | |||||
0.599907 | + | 26.1093i | 0.0216755 | + | 0.943366i | |||||
− | 3.05233i | − | 0.110213i | |||||||
−10.2549 | − | 7.04012i | −0.370042 | − | 0.254039i | |||||
35.3943 | 1.27635 | 0.638175 | − | 0.769891i | ||||||
0.638175 | + | 0.769891i | ||||||||
1.24978 | + | 54.3929i | 0.0450388 | + | 1.96019i | |||||
10.3816 | − | 10.3816i | 0.373885 | − | 0.373885i | |||||
1.61377 | + | 35.0988i | 0.0580808 | + | 1.26323i | |||||
12.5110 | + | 12.5110i | 0.449991 | + | 0.449991i | 0.895351 | − | 0.445360i | ||
−0.445360 | + | 0.895351i | ||||||||
10.4670 | + | 9.99677i | 0.376227 | + | 0.359327i | |||||
1.19658i | 0.0429823i | |||||||||
−10.4438 | + | 0.720913i | −0.374912 | + | 0.0258793i | |||||
− | 12.0360i | − | 0.431790i | |||||||
−23.6283 | − | 22.5669i | −0.847117 | − | 0.809063i | |||||
−10.1590 | + | 33.0878i | −0.363983 | + | 1.18550i | |||||
−11.7343 | + | 12.8654i | −0.420157 | + | 0.460655i | |||||
20.6080 | − | 20.6080i | 0.737411 | − | 0.737411i | |||||
−0.0237315 | − | 1.03285i | −0.000848635 | − | 0.0369345i | |||||
43.1112i | 1.54067i | |||||||||
20.3675 | − | 1.87687i | 0.727410 | − | 0.0670312i | |||||
−33.5829 | −1.19862 | |||||||||
−0.0355261 | − | 1.54617i | −0.00126717 | − | 0.0551502i | |||||
0.304154 | + | 0.304154i | 0.0108419 | + | 0.0108419i | 0.712507 | − | 0.701665i | ||
−0.701665 | + | 0.712507i | ||||||||
31.0471 | − | 34.0397i | 1.10601 | − | 1.21261i | |||||
6.63935 | + | 6.63935i | 0.236367 | + | 0.236367i | |||||
−10.8914 | − | 10.4021i | −0.387498 | − | 0.370091i | |||||
− | 48.8805i | − | 1.73799i | |||||||
26.6259 | + | 23.1874i | 0.946111 | + | 0.823929i | |||||
−18.5012 | −0.656998 | |||||||||
18.0312 | − | 18.8793i | 0.639905 | − | 0.670002i | |||||
−5.87025 | − | 5.87025i | −0.208196 | − | 0.208196i | |||||
−43.1743 | + | 1.98506i | −1.53027 | + | 0.0703587i | |||||
−10.6768 | + | 10.6768i | −0.378190 | + | 0.378190i | −0.870449 | − | 0.492259i | ||
0.492259 | + | 0.870449i | ||||||||
8.14959 | + | 14.5532i | 0.288492 | + | 0.515179i | |||||
5.43095i | 0.192133i | |||||||||
−2.80997 | + | 0.324191i | −0.0993474 | + | 0.0114619i | |||||
17.7895i | 0.628563i | |||||||||
37.2429 | − | 0.855721i | 1.31509 | − | 0.0302166i | |||||
−50.1173 | + | 50.1173i | −1.76860 | + | 1.76860i | |||||
−1.07752 | − | 23.4357i | −0.0380013 | − | 0.826514i | |||||
2.51775 | − | 2.51775i | 0.0887390 | − | 0.0887390i | |||||
−12.9202 | − | 12.3398i | −0.455095 | − | 0.434652i | |||||
−9.39329 | −0.330660 | |||||||||
−14.4405 | − | 12.5756i | −0.508014 | − | 0.442408i | |||||
− | 9.58027i | − | 0.336824i | −0.985717 | − | 0.168412i | ||||
0.985717 | − | 0.168412i | ||||||||
−8.51672 | − | 8.13413i | −0.299247 | − | 0.285804i | |||||
−22.4309 | + | 22.4309i | −0.787654 | + | 0.787654i | −0.981109 | − | 0.193455i | ||
0.193455 | + | 0.981109i | ||||||||
48.2099 | − | 52.8568i | 1.69184 | − | 1.85491i | |||||
4.56759 | − | 4.56759i | 0.160192 | − | 0.160192i | |||||
−32.7711 | + | 0.752974i | −1.14863 | + | 0.0263917i | |||||
− | 15.9315i | − | 0.558058i | |||||||
−3.62243 | − | 3.01114i | −0.126810 | − | 0.105411i | |||||
16.4528 | − | 8.72308i | 0.575612 | − | 0.305182i | |||||
−0.0266807 | − | 1.16120i | −0.000932868 | − | 0.0406005i | |||||
−31.1250 | − | 31.1250i | −1.08760 | − | 1.08760i | |||||
22.7025 | − | 24.8907i | 0.792805 | − | 0.869221i | |||||
24.5153 | − | 24.5153i | 0.855590 | − | 0.855590i | −0.135225 | − | 0.990815i | ||
0.990815 | + | 0.135225i | ||||||||
−8.42975 | − | 8.05107i | −0.294021 | − | 0.280813i | |||||
−23.3599 | −0.814274 | −0.407137 | − | 0.913367i | ||||||
−0.407137 | + | 0.913367i | ||||||||
32.2389 | − | 2.22538i | 1.12310 | − | 0.0775246i | |||||
−2.02565 | −0.0705240 | |||||||||
2.05797 | + | 1.96553i | 0.0716061 | + | 0.0683894i | |||||
24.9222 | − | 24.9222i | 0.866631 | − | 0.866631i | −0.125467 | − | 0.992098i | ||
0.992098 | + | 0.125467i | ||||||||
−0.106126 | − | 2.30821i | −0.00368815 | − | 0.0802157i | |||||
8.85684 | − | 8.85684i | 0.307611 | − | 0.307611i | −0.536371 | − | 0.843982i | ||
0.843982 | + | 0.536371i | ||||||||
43.8983 | − | 1.00864i | 1.52373 | − | 0.0350104i | |||||
−10.5065 | −0.364466 | |||||||||
25.4776 | − | 33.6844i | 0.883278 | − | 1.16780i | |||||
7.74568 | 0.268372 | |||||||||
14.3815 | − | 0.330441i | 0.497992 | − | 0.0114423i | |||||
13.5405 | + | 13.5405i | 0.468587 | + | 0.468587i | |||||
39.1150 | − | 23.0998i | 1.35282 | − | 0.798922i | |||||
−7.09789 | + | 7.09789i | −0.245339 | + | 0.245339i | |||||
3.63644 | + | 3.47309i | 0.125619 | + | 0.119976i | |||||
23.5109i | 0.811686i | 0.913943 | + | 0.405843i | ||||||
−0.913943 | + | 0.405843i | ||||||||
−1.11799 | − | 16.1962i | −0.0385742 | − | 0.558823i | |||||
− | 76.6272i | − | 2.64232i | |||||||
−13.3290 | + | 13.9559i | −0.459348 | + | 0.480953i | |||||
−5.12424 | − | 5.12424i | −0.176488 | − | 0.176488i | |||||
34.8948 | + | 31.8271i | 1.20113 | + | 1.09553i | |||||
−22.3065 | − | 22.3065i | −0.767366 | − | 0.767366i | |||||
0.279019 | + | 12.1435i | 0.00959287 | + | 0.417503i | |||||
− | 56.2172i | − | 1.93165i | |||||||
15.4844 | + | 12.8714i | 0.531738 | + | 0.442007i | |||||
− | 4.61151i | − | 0.158267i | |||||||
−1.07089 | + | 0.0246056i | −0.0367312 | + | 0.000843964i | |||||
1.51691 | + | 1.51691i | 0.0519991 | + | 0.0519991i | |||||
−5.86035 | + | 6.42522i | −0.200772 | + | 0.220124i | |||||
−2.97132 | + | 2.97132i | −0.101736 | + | 0.101736i | −0.756143 | − | 0.654407i | ||
0.654407 | + | 0.756143i | ||||||||
11.9137 | − | 12.4741i | 0.407680 | − | 0.426855i | |||||
−19.5706 | + | 10.3761i | −0.669301 | + | 0.354854i | |||||
−35.5566 | − | 30.9648i | −1.21530 | − | 1.05836i | |||||
35.1401 | 1.20036 | 0.600181 | − | 0.799864i | ||||||
0.600181 | + | 0.799864i | ||||||||
20.8897 | − | 21.8723i | 0.713164 | − | 0.746707i | |||||
34.6341 | + | 34.6341i | 1.18170 | + | 1.18170i | 0.979304 | + | 0.202395i | ||
0.202395 | + | 0.979304i | ||||||||
−18.1064 | + | 0.832492i | −0.617422 | + | 0.0283877i | |||||
−15.1927 | − | 15.1927i | −0.517766 | − | 0.517766i | |||||
0.190926 | + | 8.30950i | 0.00650295 | + | 0.283023i | |||||
−22.4122 | −0.762921 | −0.381461 | − | 0.924385i | ||||||
−0.381461 | + | 0.924385i | ||||||||
−18.5913 | − | 14.7452i | −0.632490 | − | 0.501643i | |||||
− | 23.4738i | − | 0.798133i | |||||||
3.70853 | − | 0.0852100i | 0.126021 | − | 0.00289555i | |||||
8.08401 | + | 8.08401i | 0.274547 | + | 0.274547i | |||||
16.6398 | − | 0.765061i | 0.564791 | − | 0.0259679i | |||||
18.4976 | + | 18.4976i | 0.627489 | + | 0.627489i | |||||
−17.3343 | − | 16.5556i | −0.587688 | − | 0.561288i | |||||
79.6564 | 2.69906 | |||||||||
−31.1316 | − | 27.1113i | −1.05425 | − | 0.918103i | |||||
−8.86669 | −0.300092 | |||||||||
−2.86126 | − | 0.807057i | −0.0967836 | − | 0.0272991i | |||||
−28.7137 | − | 28.7137i | −0.970699 | − | 0.970699i | |||||
14.2520 | − | 15.6257i | 0.481531 | − | 0.527944i | |||||
−19.6785 | + | 19.6785i | −0.664496 | + | 0.664496i | −0.956437 | − | 0.291940i | ||
0.291940 | + | 0.956437i | ||||||||
48.9588 | − | 1.12492i | 1.65228 | − | 0.0379641i | |||||
15.0866i | 0.508857i | |||||||||
−44.0283 | + | 4.05723i | −1.48419 | + | 0.136769i | |||||
6.88025 | 0.231801 | 0.115901 | − | 0.993261i | ||||||
0.115901 | + | 0.993261i | ||||||||
17.3192 | − | 0.397940i | 0.583168 | − | 0.0133993i | |||||
32.4715 | − | 32.4715i | 1.09275 | − | 1.09275i | 0.0975191 | − | 0.995234i | ||
0.995234 | − | 0.0975191i | ||||||||
10.7780 | − | 11.8168i | 0.362503 | − | 0.397443i | |||||
0.674228 | − | 0.674228i | 0.0226639 | − | 0.0226639i | |||||
−4.95185 | + | 5.18476i | −0.166361 | + | 0.174185i | |||||
− | 11.4832i | − | 0.385567i | −0.981241 | − | 0.192783i | ||||
0.981241 | − | 0.192783i | ||||||||
9.75803 | − | 0.673573i | 0.327458 | − | 0.0226036i | |||||
−19.7787 | −0.663357 | |||||||||
−16.1104 | − | 15.3867i | −0.540022 | − | 0.515764i | |||||
14.4646 | + | 14.4646i | 0.484581 | + | 0.484581i | |||||
3.26615 | − | 0.150171i | 0.109359 | − | 0.00502809i | |||||
14.9398 | + | 4.58697i | 0.499942 | + | 0.153497i | |||||
−0.00949310 | − | 0.413161i | −0.000317497 | − | 0.0138182i | |||||
8.86010 | 0.296161 | |||||||||
6.30487 | + | 38.8686i | 0.210631 | + | 1.29851i | |||||
−1.97938 | −0.0660894 | |||||||||
9.86964 | − | 0.226773i | 0.329354 | − | 0.00756750i | |||||
17.3906 | − | 17.3906i | 0.580010 | − | 0.580010i | |||||
−2.39322 | + | 0.110035i | −0.0797742 | + | 0.00366784i | |||||
5.39182 | + | 5.39182i | 0.179627 | + | 0.179627i | |||||
−40.4154 | + | 42.3164i | −1.34569 | + | 1.40898i | |||||
11.5598i | 0.384687i | |||||||||
39.6291 | − | 2.73550i | 1.31804 | − | 0.0909814i | |||||
−20.8732 | −0.693849 | |||||||||
−6.57037 | − | 6.27522i | −0.218286 | − | 0.208480i | |||||
1.11054 | − | 1.11054i | 0.0368750 | − | 0.0368750i | −0.688429 | − | 0.725304i | ||
0.725304 | + | 0.688429i | ||||||||
−0.968323 | − | 0.883194i | −0.0321349 | − | 0.0293098i | |||||
−11.4682 | − | 11.4682i | −0.380375 | − | 0.380375i | |||||
55.1081 | − | 1.26621i | 1.82682 | − | 0.0419744i | |||||
4.52560 | 0.149940 | 0.0749699 | − | 0.997186i | ||||||
0.0749699 | + | 0.997186i | ||||||||
−11.3427 | + | 7.42160i | −0.375596 | + | 0.245754i | |||||
−76.2686 | −2.52412 | |||||||||
2.28967 | − | 0.0526093i | 0.0757357 | − | 0.00174016i | |||||
−4.08673 | − | 4.08673i | −0.135103 | − | 0.135103i | |||||
15.9417 | − | 17.4783i | 0.526728 | − | 0.577498i | |||||
−3.46190 | + | 3.46190i | −0.114322 | + | 0.114322i | |||||
−6.49829 | − | 6.20638i | −0.214476 | − | 0.204841i | |||||
−34.2586 | −1.13009 | −0.565043 | − | 0.825062i | ||||||
−0.565043 | + | 0.825062i | ||||||||
2.18213 | + | 1.90033i | 0.0719427 | + | 0.0626519i | |||||
− | 10.8858i | − | 0.358699i | |||||||
−15.5648 | + | 16.2969i | −0.512599 | + | 0.536709i | |||||
−20.8789 | − | 20.8789i | −0.687238 | − | 0.687238i | |||||
1.29515 | + | 28.1690i | 0.0426073 | + | 0.926692i | |||||
1.57279 | − | 1.57279i | 0.0517129 | − | 0.0517129i | |||||
37.0643 | − | 0.851619i | 1.21801 | − | 0.0279859i | |||||
27.3705 | 0.898964 | |||||||||
45.5508 | + | 36.1275i | 1.49528 | + | 1.18594i | |||||
13.5486 | 0.444516 | 0.222258 | − | 0.974988i | ||||||
0.222258 | + | 0.974988i | ||||||||
−0.128203 | − | 5.57969i | −0.00420395 | − | 0.182965i | |||||
6.54198 | − | 21.3073i | 0.214405 | − | 0.698319i | |||||
−0.828946 | − | 18.0292i | −0.0271530 | − | 0.590567i | |||||
−9.59066 | − | 9.59066i | −0.313984 | − | 0.313984i | |||||
10.7869 | + | 10.3023i | 0.352958 | + | 0.337103i | |||||
−16.7438 | −0.547581 | |||||||||
23.4923 | − | 26.9760i | 0.767870 | − | 0.881738i | |||||
− | 32.7572i | − | 1.07013i | −0.844811 | − | 0.535065i | ||||
0.844811 | − | 0.535065i | ||||||||
−51.2942 | + | 53.7068i | −1.67482 | + | 1.75359i | |||||
5.02918 | − | 5.02918i | 0.164121 | − | 0.164121i | |||||
−11.2386 | − | 10.2506i | −0.366564 | − | 0.334338i | |||||
24.7542 | − | 24.7542i | 0.806965 | − | 0.806965i | −0.177208 | − | 0.984173i | ||
0.984173 | + | 0.177208i | ||||||||
−17.4011 | + | 0.399821i | −0.566957 | + | 0.0130269i | |||||
3.82950 | 0.124706 | |||||||||
−1.47835 | + | 1.77847i | −0.0481162 | + | 0.0578842i | |||||
− | 30.9700i | − | 1.00745i | |||||||
31.4745 | − | 0.723184i | 1.02333 | − | 0.0235127i | |||||
27.4034 | − | 27.4034i | 0.890491 | − | 0.890491i | −0.104078 | − | 0.994569i | ||
0.994569 | + | 0.104078i | ||||||||
−5.76725 | − | 5.26023i | −0.187312 | − | 0.170844i | |||||
50.7762 | + | 50.7762i | 1.64827 | + | 1.64827i | |||||
−0.836783 | + | 2.96665i | −0.0271488 | + | 0.0962508i | |||||
20.9973 | 0.680884 | |||||||||
1.02687 | + | 14.8762i | 0.0332810 | + | 0.482141i | |||||
−35.9912 | −1.16587 | −0.582935 | − | 0.812519i | ||||||
−0.582935 | + | 0.812519i | ||||||||
12.3330 | + | 11.7790i | 0.399296 | + | 0.381359i | |||||
−5.87181 | − | 5.87181i | −0.190007 | − | 0.190007i | |||||
−0.0528404 | − | 1.14926i | −0.00170898 | − | 0.0371697i | |||||
29.4401 | + | 29.4401i | 0.951663 | + | 0.951663i | |||||
−31.1621 | + | 0.716006i | −1.00680 | + | 0.0231331i | |||||
36.9007i | 1.19159i | |||||||||
13.0683 | − | 1.81278i | 0.421777 | − | 0.0585073i | |||||
−25.2736 | −0.815276 | |||||||||
0.762874 | + | 33.2020i | 0.0245961 | + | 1.07047i | |||||
−28.2379 | − | 28.2379i | −0.909955 | − | 0.909955i | |||||
0.939294 | + | 20.4293i | 0.0302526 | + | 0.657983i | |||||
−26.3518 | − | 26.3518i | −0.848296 | − | 0.848296i | |||||
1.27460 | − | 1.33456i | 0.0410097 | − | 0.0429386i | |||||
−20.6822 | −0.665093 | −0.332547 | − | 0.943087i | ||||||
−0.332547 | + | 0.943087i | ||||||||
45.5773 | − | 3.14609i | 1.46491 | − | 0.101119i | |||||
−4.53518 | + | 2.40449i | −0.145691 | + | 0.0772433i | |||||
7.66907 | − | 8.02977i | 0.246239 | − | 0.257821i | |||||
5.17002 | − | 5.17002i | 0.165914 | − | 0.165914i | −0.619267 | − | 0.785181i | ||
0.785181 | + | 0.619267i | ||||||||
−23.1051 | − | 21.0738i | −0.741095 | − | 0.675943i | |||||
−32.2004 | − | 32.2004i | −1.03230 | − | 1.03230i | |||||
−31.0714 | + | 0.713922i | −0.995593 | + | 0.0228755i | |||||
2.05228i | 0.0657256i | |||||||||
10.7799 | + | 8.96079i | 0.345057 | + | 0.286828i | |||||
− | 25.5684i | − | 0.818006i | −0.912533 | − | 0.409003i | ||||
0.912533 | − | 0.409003i | ||||||||
−0.189673 | − | 8.25498i | −0.00606507 | − | 0.263965i | |||||
27.3615 | + | 27.3615i | 0.874476 | + | 0.874476i | |||||
−14.6195 | + | 16.0287i | −0.467003 | + | 0.512017i | |||||
−24.7237 | − | 24.7237i | −0.789368 | − | 0.789368i | |||||
24.4810 | − | 25.6324i | 0.781220 | − | 0.817964i | |||||
− | 20.9464i | − | 0.668085i | −0.942558 | − | 0.334042i | ||||
0.942558 | − | 0.334042i | ||||||||
11.4670 | − | 13.1675i | 0.365555 | − | 0.419764i | |||||
48.8665i | 1.55702i | |||||||||
15.9215 | + | 15.2063i | 0.507045 | + | 0.484268i | |||||
−6.85980 | + | 6.85980i | −0.218350 | + | 0.218350i | |||||
−23.4035 | − | 39.6292i | −0.744564 | − | 1.26077i | |||||
−1.45690 | − | 1.45690i | −0.0463267 | − | 0.0463267i | |||||
−37.4389 | + | 0.860225i | −1.18989 | + | 0.0273398i | |||||
35.4955 | 1.12755 | 0.563776 | − | 0.825928i | ||||||
0.563776 | + | 0.825928i | ||||||||
1.55147 | + | 13.4476i | 0.0492594 | + | 0.426963i | |||||
3.40371 | 0.108014 | |||||||||
27.5220 | − | 0.632368i | 0.872946 | − | 0.0200575i | |||||
32.4148 | − | 32.4148i | 1.02762 | − | 1.02762i | |||||
22.7340 | − | 1.04526i | 0.720355 | − | 0.0331204i | |||||
−33.0690 | + | 33.0690i | −1.04731 | + | 1.04731i | −0.0484820 | + | 0.998824i | ||
−0.998824 | + | 0.0484820i | ||||||||
−43.9031 | − | 41.9309i | −1.38973 | − | 1.32730i | |||||
18.6590 | 0.590345 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 304.2.m.a.227.20 | yes | 76 | |
4.3 | odd | 2 | 1216.2.m.a.303.23 | 76 | |||
16.5 | even | 4 | 1216.2.m.a.911.16 | 76 | |||
16.11 | odd | 4 | inner | 304.2.m.a.75.19 | ✓ | 76 | |
19.18 | odd | 2 | inner | 304.2.m.a.227.19 | yes | 76 | |
76.75 | even | 2 | 1216.2.m.a.303.16 | 76 | |||
304.37 | odd | 4 | 1216.2.m.a.911.23 | 76 | |||
304.75 | even | 4 | inner | 304.2.m.a.75.20 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.m.a.75.19 | ✓ | 76 | 16.11 | odd | 4 | inner | |
304.2.m.a.75.20 | yes | 76 | 304.75 | even | 4 | inner | |
304.2.m.a.227.19 | yes | 76 | 19.18 | odd | 2 | inner | |
304.2.m.a.227.20 | yes | 76 | 1.1 | even | 1 | trivial | |
1216.2.m.a.303.16 | 76 | 76.75 | even | 2 | |||
1216.2.m.a.303.23 | 76 | 4.3 | odd | 2 | |||
1216.2.m.a.911.16 | 76 | 16.5 | even | 4 | |||
1216.2.m.a.911.23 | 76 | 304.37 | odd | 4 |