Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [728,2,Mod(99,728)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(728, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("728.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 728.z (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 | 99.18 | ||
Character | 728.99 | ||
Dual form | 728.2.z.a.603.18 |
-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 .
−1.17472 | + | 0.787426i | −0.830650 | + | 0.556794i | |||||
2.30698 | 1.33194 | 0.665968 | − | 0.745981i | ||||||
0.665968 | + | 0.745981i | ||||||||
0.759920 | − | 1.85001i | 0.379960 | − | 0.925003i | |||||
−0.308723 | + | 0.308723i | −0.138065 | + | 0.138065i | −0.772762 | − | 0.634697i | ||
0.634697 | + | 0.772762i | ||||||||
−2.71005 | + | 1.81658i | −1.10637 | + | 0.741614i | |||||
0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | |||||
0.564051 | + | 2.77161i | 0.199422 | + | 0.979914i | |||||
2.32216 | 0.774052 | |||||||||
0.119566 | − | 0.605758i | 0.0378099 | − | 0.191558i | |||||
3.25457 | − | 3.25457i | 0.981289 | − | 0.981289i | −0.0185393 | − | 0.999828i | ||
0.999828 | + | 0.0185393i | ||||||||
1.75312 | − | 4.26793i | 0.506082 | − | 1.23204i | |||||
1.82077 | − | 3.11204i | 0.504992 | − | 0.863124i | |||||
−1.38744 | − | 0.273856i | −0.370810 | − | 0.0731911i | |||||
−0.712217 | + | 0.712217i | −0.183894 | + | 0.183894i | |||||
−2.84504 | − | 2.81171i | −0.711261 | − | 0.702928i | |||||
− | 7.35952i | − | 1.78495i | −0.451101 | − | 0.892473i | ||||
0.451101 | − | 0.892473i | ||||||||
−2.72788 | + | 1.82853i | −0.642967 | + | 0.430988i | |||||
2.66450 | + | 2.66450i | 0.611277 | + | 0.611277i | 0.943279 | − | 0.332002i | ||
−0.332002 | + | 0.943279i | ||||||||
0.336534 | + | 0.805744i | 0.0752513 | + | 0.180170i | |||||
1.63128 | + | 1.63128i | 0.355975 | + | 0.355975i | |||||
−1.26046 | + | 6.38593i | −0.268732 | + | 1.36148i | |||||
−3.21182 | −0.669712 | −0.334856 | − | 0.942269i | ||||||
−0.334856 | + | 0.942269i | ||||||||
1.30126 | + | 6.39406i | 0.265618 | + | 1.30518i | |||||
4.80938i | 0.961876i | |||||||||
0.311607 | + | 5.08949i | 0.0611112 | + | 0.998131i | |||||
−1.56377 | −0.300948 | |||||||||
1.84550 | − | 0.770807i | 0.348766 | − | 0.145669i | |||||
2.81223i | 0.522219i | 0.965309 | + | 0.261109i | ||||||
−0.965309 | + | 0.261109i | ||||||||
0.275835 | − | 1.39747i | 0.0503604 | − | 0.255142i | |||||
0.400087 | − | 0.400087i | 0.0718577 | − | 0.0718577i | −0.670265 | − | 0.742122i | ||
0.742122 | + | 0.670265i | ||||||||
5.55614 | + | 1.06271i | 0.982195 | + | 0.187862i | |||||
7.50822 | − | 7.50822i | 1.30701 | − | 1.30701i | |||||
5.79508 | + | 8.64536i | 0.993848 | + | 1.48267i | |||||
−0.436600 | −0.0737989 | |||||||||
1.76465 | − | 4.29600i | 0.294109 | − | 0.716001i | |||||
0.845714 | + | 0.845714i | 0.139035 | + | 0.139035i | 0.773199 | − | 0.634164i | ||
−0.634164 | + | 0.773199i | ||||||||
−5.22812 | − | 1.03193i | −0.848113 | − | 0.167402i | |||||
4.20049 | − | 7.17941i | 0.672616 | − | 1.14963i | |||||
−1.02980 | − | 0.681525i | −0.162825 | − | 0.107759i | |||||
3.82324 | + | 3.82324i | 0.597089 | + | 0.597089i | 0.939537 | − | 0.342448i | ||
−0.342448 | + | 0.939537i | ||||||||
−3.20081 | − | 0.631780i | −0.493895 | − | 0.0974858i | |||||
6.36630i | 0.970852i | 0.874278 | + | 0.485426i | ||||||
−0.874278 | + | 0.485426i | ||||||||
−3.54776 | − | 8.49418i | −0.534844 | − | 1.28055i | |||||
−0.716903 | + | 0.716903i | −0.106870 | + | 0.106870i | |||||
3.77298 | − | 2.52907i | 0.556296 | − | 0.372892i | |||||
2.19728 | + | 2.19728i | 0.320507 | + | 0.320507i | 0.848961 | − | 0.528455i | ||
−0.528455 | + | 0.848961i | ||||||||
−6.56346 | − | 6.48657i | −0.947353 | − | 0.936255i | |||||
1.00000i | 0.142857i | |||||||||
−3.78703 | − | 5.64966i | −0.535567 | − | 0.798983i | |||||
− | 16.9783i | − | 2.37743i | |||||||
−4.37365 | − | 5.73334i | −0.606516 | − | 0.795072i | |||||
− | 13.2075i | − | 1.81419i | −0.420923 | − | 0.907096i | ||||
0.420923 | − | 0.907096i | ||||||||
1.83699 | − | 1.23135i | 0.249982 | − | 0.167566i | |||||
2.00952i | 0.270963i | |||||||||
−1.56098 | + | 2.35867i | −0.208595 | + | 0.315191i | |||||
6.14694 | + | 6.14694i | 0.814182 | + | 0.814182i | |||||
−2.21443 | − | 3.30358i | −0.290768 | − | 0.433781i | |||||
1.36248 | − | 1.36248i | 0.177379 | − | 0.177379i | −0.612833 | − | 0.790212i | ||
0.790212 | + | 0.612833i | ||||||||
0.776378 | + | 1.85883i | 0.100230 | + | 0.239974i | |||||
4.63407i | 0.593332i | 0.954981 | + | 0.296666i | ||||||
−0.954981 | + | 0.296666i | ||||||||
−0.154950 | + | 0.785027i | −0.0196787 | + | 0.0996985i | |||||
1.64201 | + | 1.64201i | 0.206874 | + | 0.206874i | |||||
−7.36369 | + | 3.12667i | −0.920461 | + | 0.390833i | |||||
0.398643 | + | 1.52287i | 0.0494456 | + | 0.188889i | |||||
−2.90787 | + | 14.7322i | −0.357934 | + | 1.81341i | |||||
8.05913 | + | 8.05913i | 0.984580 | + | 0.984580i | 0.999883 | − | 0.0153034i | ||
−0.0153034 | + | 0.999883i | ||||||||
−13.6152 | − | 5.59265i | −1.65108 | − | 0.678208i | |||||
−7.40961 | −0.892013 | |||||||||
0.512881 | − | 0.343790i | 0.0613010 | − | 0.0410908i | |||||
−0.561120 | + | 0.561120i | −0.0665927 | + | 0.0665927i | −0.739619 | − | 0.673026i | ||
0.673026 | + | 0.739619i | ||||||||
1.30982 | + | 6.43612i | 0.154363 | + | 0.758504i | |||||
−1.08699 | + | 1.08699i | −0.127223 | + | 0.127223i | −0.767851 | − | 0.640628i | ||
0.640628 | + | 0.767851i | ||||||||
−1.65941 | − | 0.327537i | −0.192903 | − | 0.0380754i | |||||
11.0951i | 1.28116i | |||||||||
6.95413 | − | 2.90453i | 0.797694 | − | 0.333172i | |||||
4.60265 | 0.524521 | |||||||||
0.718871 | + | 11.7414i | 0.0813961 | + | 1.32945i | |||||
− | 8.61872i | − | 0.969682i | −0.874602 | − | 0.484841i | ||||
0.874602 | − | 0.484841i | ||||||||
1.74637 | − | 0.0102893i | 0.195250 | − | 0.00115038i | |||||
−10.5741 | −1.17490 | |||||||||
−7.50173 | − | 1.48070i | −0.828428 | − | 0.163516i | |||||
−3.51763 | − | 3.51763i | −0.386110 | − | 0.386110i | 0.487188 | − | 0.873297i | ||
−0.873297 | + | 0.487188i | ||||||||
4.25752 | − | 1.77824i | 0.464534 | − | 0.194021i | |||||
2.27205 | + | 2.27205i | 0.246439 | + | 0.246439i | |||||
−5.01299 | − | 7.47860i | −0.540565 | − | 0.806438i | |||||
6.48776i | 0.695561i | |||||||||
10.8561 | + | 7.18466i | 1.15727 | + | 0.765887i | |||||
−0.134118 | + | 0.134118i | −0.0142165 | + | 0.0142165i | −0.714179 | − | 0.699963i | ||
0.699963 | + | 0.714179i | ||||||||
0.277650 | − | 1.40667i | 0.0292669 | − | 0.148276i | |||||
3.48802 | − | 0.913062i | 0.365644 | − | 0.0957150i | |||||
−2.44073 | + | 5.94189i | −0.254464 | + | 0.619485i | |||||
0.922992 | − | 0.922992i | 0.0957098 | − | 0.0957098i | |||||
−4.31138 | − | 0.850988i | −0.444685 | − | 0.0877727i | |||||
−1.64518 | −0.168792 | |||||||||
12.8179 | + | 2.45165i | 1.30822 | + | 0.250220i | |||||
2.97399 | + | 2.97399i | 0.301963 | + | 0.301963i | 0.841781 | − | 0.539819i | ||
−0.539819 | + | 0.841781i | ||||||||
−0.787426 | − | 1.17472i | −0.0795420 | − | 0.118664i | |||||
7.55761 | − | 7.55761i | 0.759569 | − | 0.759569i | |||||
8.89738 | + | 3.65475i | 0.889738 | + | 0.365475i | |||||
−3.97265 | −0.395293 | −0.197647 | − | 0.980273i | ||||||
−0.197647 | + | 0.980273i | ||||||||
13.3691 | + | 19.9447i | 1.32374 | + | 1.97482i | |||||
7.85013 | 0.773496 | 0.386748 | − | 0.922185i | ||||||
0.386748 | + | 0.922185i | ||||||||
9.65238 | + | 3.29113i | 0.946494 | + | 0.322722i | |||||
−1.00723 | −0.0982953 | |||||||||
10.3999 | + | 15.5151i | 1.01013 | + | 1.50696i | |||||
−6.33622 | −0.612545 | −0.306273 | − | 0.951944i | ||||||
−0.306273 | + | 0.951944i | ||||||||
−1.18834 | + | 2.89298i | −0.114348 | + | 0.278378i | |||||
−13.4537 | + | 13.4537i | −1.28863 | + | 1.28863i | −0.353009 | + | 0.935620i | ||
−0.935620 | + | 0.353009i | ||||||||
−1.58235 | − | 2.36061i | −0.150871 | − | 0.225076i | |||||
1.95105 | + | 1.95105i | 0.185185 | + | 0.185185i | |||||
−0.0235668 | − | 3.99993i | −0.00222686 | − | 0.377958i | |||||
3.45377 | 0.324903 | 0.162452 | − | 0.986717i | ||||||
0.162452 | + | 0.986717i | ||||||||
−12.0612 | − | 2.38065i | −1.12963 | − | 0.222969i | |||||
0.991563 | − | 0.991563i | 0.0924637 | − | 0.0924637i | |||||
5.20265 | + | 2.13707i | 0.483054 | + | 0.198422i | |||||
4.22812 | − | 7.22664i | 0.390890 | − | 0.668103i | |||||
−0.527675 | + | 2.67338i | −0.0485764 | + | 0.246104i | |||||
5.20397 | − | 5.20397i | 0.477047 | − | 0.477047i | |||||
−2.37572 | − | 1.57226i | −0.216872 | − | 0.143527i | |||||
− | 10.1844i | − | 0.925856i | |||||||
−3.64899 | − | 5.44373i | −0.330364 | − | 0.492852i | |||||
8.82013 | + | 8.82013i | 0.795284 | + | 0.795284i | |||||
−0.436129 | − | 1.04420i | −0.0391655 | − | 0.0937716i | |||||
−3.02838 | − | 3.02838i | −0.270866 | − | 0.270866i | |||||
−3.22186 | − | 0.635937i | −0.287026 | − | 0.0566537i | |||||
17.6002 | 1.56176 | 0.780881 | − | 0.624680i | ||||||
0.780881 | + | 0.624680i | ||||||||
6.18824 | − | 9.47131i | 0.546968 | − | 0.837154i | |||||
14.6869i | 1.29311i | |||||||||
−1.66744 | − | 1.47504i | −0.146244 | − | 0.129370i | |||||
−15.8191 | −1.38213 | −0.691063 | − | 0.722795i | ||||||
−0.691063 | + | 0.722795i | ||||||||
−8.18460 | − | 19.5959i | −0.712378 | − | 1.70560i | |||||
3.76817i | 0.326741i | |||||||||
−15.8132 | − | 3.12123i | −1.36605 | − | 0.269633i | |||||
0.482772 | − | 0.482772i | 0.0415504 | − | 0.0415504i | |||||
20.3978 | − | 4.15115i | 1.74909 | − | 0.355958i | |||||
−12.2517 | + | 12.2517i | −1.04674 | + | 1.04674i | −0.0478835 | + | 0.998853i | ||
−0.998853 | + | 0.0478835i | ||||||||
8.70420 | − | 5.83452i | 0.740951 | − | 0.496668i | |||||
−20.0418 | −1.69993 | −0.849963 | − | 0.526843i | ||||||
−0.849963 | + | 0.526843i | ||||||||
−0.331781 | + | 0.807712i | −0.0280406 | + | 0.0682641i | |||||
5.06909 | + | 5.06909i | 0.426894 | + | 0.426894i | |||||
0.217317 | − | 1.10100i | 0.0182368 | − | 0.0923937i | |||||
−4.20251 | − | 16.0542i | −0.351431 | − | 1.34252i | |||||
−6.60663 | − | 6.52924i | −0.550553 | − | 0.544103i | |||||
−0.868200 | − | 0.868200i | −0.0721001 | − | 0.0721001i | |||||
0.420982 | − | 2.13283i | 0.0348407 | − | 0.176515i | |||||
2.30698i | 0.190277i | |||||||||
2.20725 | − | 0.921900i | 0.181435 | − | 0.0757797i | |||||
−11.6375 | + | 11.6375i | −0.953377 | + | 0.953377i | −0.998961 | − | 0.0455831i | ||
0.0455831 | + | 0.998961i | ||||||||
−8.73661 | − | 13.0337i | −0.713341 | − | 1.06419i | |||||
−13.2541 | − | 13.2541i | −1.07860 | − | 1.07860i | −0.996635 | − | 0.0819648i | ||
−0.0819648 | − | 0.996635i | ||||||||
−5.88204 | + | 8.88786i | −0.477096 | + | 0.720901i | |||||
− | 17.0900i | − | 1.38164i | |||||||
−5.40681 | + | 3.62425i | −0.435694 | + | 0.292050i | |||||
0.247032i | 0.0198421i | |||||||||
−10.0899 | − | 13.2267i | −0.807840 | − | 1.05898i | |||||
21.0225i | 1.67778i | 0.544301 | + | 0.838890i | ||||||
−0.544301 | + | 0.838890i | ||||||||
6.78661 | + | 10.1246i | 0.539913 | + | 0.805467i | |||||
− | 30.4695i | − | 2.41639i | |||||||
−2.04339 | + | 1.38722i | −0.161544 | + | 0.109670i | |||||
−2.27110 | − | 2.27110i | −0.178988 | − | 0.178988i | |||||
12.4215 | − | 8.32629i | 0.975927 | − | 0.654175i | |||||
10.0319 | − | 10.0319i | 0.785763 | − | 0.785763i | −0.195034 | − | 0.980796i | ||
0.980796 | + | 0.195034i | ||||||||
9.97836 | − | 4.16765i | 0.779179 | − | 0.325439i | |||||
4.63592i | 0.360906i | |||||||||
6.90209 | + | 1.36235i | 0.535706 | + | 0.105739i | |||||
−9.80242 | − | 9.80242i | −0.758534 | − | 0.758534i | 0.217521 | − | 0.976056i | ||
−0.976056 | + | 0.217521i | ||||||||
−3.60116 | + | 5.44141i | −0.277835 | + | 0.419814i | |||||
−6.36957 | − | 11.3326i | −0.489967 | − | 0.871741i | |||||
−4.45809 | − | 0.879945i | −0.341920 | − | 0.0674887i | |||||
6.18738 | + | 6.18738i | 0.473160 | + | 0.473160i | |||||
11.7777 | + | 4.83788i | 0.898041 | + | 0.368885i | |||||
4.71685 | 0.358616 | 0.179308 | − | 0.983793i | ||||||
0.179308 | + | 0.983793i | ||||||||
−5.10864 | − | 7.62129i | −0.387285 | − | 0.577768i | |||||
−3.40075 | + | 3.40075i | −0.257072 | + | 0.257072i | |||||
−18.4103 | + | 0.108470i | −1.38773 | + | 0.00817623i | |||||
3.14321 | − | 3.14321i | 0.236258 | − | 0.236258i | |||||
0.0519426 | − | 0.263158i | 0.00389326 | − | 0.0197246i | |||||
− | 0.161126i | − | 0.0120431i | −0.999982 | − | 0.00602155i | ||||
0.999982 | − | 0.00602155i | ||||||||
0.781485 | + | 1.87106i | 0.0582485 | + | 0.139461i | |||||
−18.7784 | −1.39579 | −0.697893 | − | 0.716202i | ||||||
−0.697893 | + | 0.716202i | ||||||||
−3.37847 | + | 3.81915i | −0.250429 | + | 0.283094i | |||||
10.6907i | 0.790280i | |||||||||
−1.81163 | − | 8.90194i | −0.133555 | − | 0.656260i | |||||
−0.522182 | −0.0383916 | |||||||||
−0.357466 | + | 1.81104i | −0.0262107 | + | 0.132792i | |||||
−23.9521 | − | 23.9521i | −1.75155 | − | 1.75155i | |||||
5.73474 | − | 2.39523i | 0.418249 | − | 0.174690i | |||||
−1.10575 | − | 1.10575i | −0.0804317 | − | 0.0804317i | |||||
1.93262 | − | 1.29546i | 0.140207 | − | 0.0939824i | |||||
7.71346i | 0.558127i | 0.960273 | + | 0.279063i | ||||||
−0.960273 | + | 0.279063i | ||||||||
−16.9879 | + | 7.21316i | −1.22600 | + | 0.520565i | |||||
−2.63668 | + | 2.63668i | −0.189792 | + | 0.189792i | −0.795606 | − | 0.605814i | ||
0.605814 | + | 0.795606i | ||||||||
−5.83539 | − | 1.15180i | −0.418957 | − | 0.0826944i | |||||
0.919661 | + | 3.51323i | 0.0658583 | + | 0.251588i | |||||
1.85001 | + | 0.759920i | 0.132143 | + | 0.0542800i | |||||
−15.2705 | + | 15.2705i | −1.08798 | + | 1.08798i | −0.0922447 | + | 0.995736i | ||
−0.995736 | + | 0.0922447i | ||||||||
−2.92700 | + | 14.8291i | −0.208013 | + | 1.05386i | |||||
13.9152 | 0.986425 | 0.493213 | − | 0.869909i | ||||||
0.493213 | + | 0.869909i | ||||||||
−13.3297 | + | 2.71274i | −0.942556 | + | 0.191820i | |||||
18.5923 | + | 18.5923i | 1.31140 | + | 1.31140i | |||||
4.66674 | − | 3.12817i | 0.328350 | − | 0.220097i | |||||
−1.98855 | + | 1.98855i | −0.139569 | + | 0.139569i | |||||
−31.4099 | − | 12.9021i | −2.19913 | − | 0.903330i | |||||
−2.36064 | −0.164874 | |||||||||
−9.22168 | + | 6.18140i | −0.642505 | + | 0.430678i | |||||
−7.45836 | −0.518392 | |||||||||
−13.9303 | + | 3.73439i | −0.965895 | + | 0.258933i | |||||
17.3436 | 1.19968 | |||||||||
1.18321 | − | 0.793117i | 0.0816490 | − | 0.0547303i | |||||
1.65051 | 0.113626 | 0.0568130 | − | 0.998385i | ||||||
0.0568130 | + | 0.998385i | ||||||||
−24.4340 | − | 10.0367i | −1.67813 | − | 0.689321i | |||||
−1.29449 | + | 1.29449i | −0.0886972 | + | 0.0886972i | |||||
7.44326 | − | 4.98930i | 0.508811 | − | 0.341062i | |||||
−1.96542 | − | 1.96542i | −0.134041 | − | 0.134041i | |||||
−0.882047 | − | 4.33417i | −0.0600157 | − | 0.294903i | |||||
0.565808 | 0.0384095 | |||||||||
5.21049 | − | 26.3980i | 0.352899 | − | 1.78790i | |||||
−2.50767 | + | 2.50767i | −0.169452 | + | 0.169452i | |||||
3.71762 | + | 1.52707i | 0.250642 | + | 0.102955i | |||||
−22.9031 | − | 13.4000i | −1.54063 | − | 0.901383i | |||||
−3.82823 | − | 0.755622i | −0.256934 | − | 0.0507140i | |||||
18.7648 | − | 18.7648i | 1.25658 | − | 1.25658i | 0.303871 | − | 0.952713i | ||
0.952713 | − | 0.303871i | ||||||||
3.17733 | + | 4.68023i | 0.212295 | + | 0.312711i | |||||
11.1681i | 0.744542i | |||||||||
−4.05720 | + | 2.71959i | −0.269881 | + | 0.180904i | |||||
15.4040 | + | 15.4040i | 1.02240 | + | 1.02240i | 0.999743 | + | 0.0226589i | ||
0.0226589 | + | 0.999743i | ||||||||
16.0431 | − | 6.70069i | 1.06248 | − | 0.443764i | |||||
−10.4687 | − | 10.4687i | −0.691794 | − | 0.691794i | 0.270833 | − | 0.962626i | ||
−0.962626 | + | 0.270833i | ||||||||
−0.384023 | + | 1.94559i | −0.0253218 | + | 0.128288i | |||||
10.6182 | 0.698628 | |||||||||
−7.79442 | + | 1.58624i | −0.511729 | + | 0.104142i | |||||
− | 12.2653i | − | 0.803525i | −0.915744 | − | 0.401762i | ||||
0.915744 | − | 0.401762i | ||||||||
0.723600 | + | 11.8186i | 0.0473032 | + | 0.772606i | |||||
−1.35670 | −0.0885015 | |||||||||
−1.48522 | − | 3.55597i | −0.0966794 | − | 0.231474i | |||||
− | 19.8832i | − | 1.29155i | |||||||
−2.01545 | + | 10.2109i | −0.130642 | + | 0.661876i | |||||
−2.97528 | + | 2.97528i | −0.192455 | + | 0.192455i | −0.796756 | − | 0.604301i | ||
0.604301 | + | 0.796756i | ||||||||
4.02884 | − | 0.0237371i | 0.260060 | − | 0.00153223i | |||||
−12.2286 | + | 12.2286i | −0.787716 | + | 0.787716i | −0.981119 | − | 0.193403i | ||
0.193403 | + | 0.981119i | ||||||||
8.01947 | + | 11.9638i | 0.515511 | + | 0.769062i | |||||
−19.7028 | −1.26394 | |||||||||
8.57306 | + | 3.52153i | 0.548834 | + | 0.225443i | |||||
−0.308723 | − | 0.308723i | −0.0197236 | − | 0.0197236i | |||||
−17.3064 | − | 3.41596i | −1.10341 | − | 0.217793i | |||||
13.1435 | − | 3.44057i | 0.836298 | − | 0.218918i | |||||
1.33456 | + | 0.883216i | 0.0847443 | + | 0.0560843i | |||||
−8.11510 | − | 8.11510i | −0.514273 | − | 0.514273i | |||||
5.94211 | + | 1.17286i | 0.375812 | + | 0.0741784i | |||||
− | 18.9930i | − | 1.19883i | −0.800439 | − | 0.599415i | ||||
0.800439 | − | 0.599415i | ||||||||
4.28553 | − | 1.78993i | 0.269963 | − | 0.112755i | |||||
−10.4531 | + | 10.4531i | −0.657181 | + | 0.657181i | |||||
−20.6752 | + | 13.8588i | −1.29728 | + | 0.869580i | |||||
5.24158 | + | 5.24158i | 0.328240 | + | 0.328240i | |||||
0.188531 | + | 15.9989i | 0.0117832 | + | 0.999931i | |||||
14.7617i | 0.920811i | 0.887709 | + | 0.460406i | ||||||
−0.887709 | + | 0.460406i | ||||||||
−11.5649 | − | 17.2530i | −0.719997 | − | 1.07412i | |||||
1.19602i | 0.0743171i | |||||||||
3.12026 | + | 0.419769i | 0.193510 | + | 0.0260330i | |||||
6.53045i | 0.404224i | |||||||||
18.5830 | − | 12.4564i | 1.14806 | − | 0.769559i | |||||
− | 21.2125i | − | 1.30802i | −0.756486 | − | 0.654010i | ||||
0.756486 | − | 0.654010i | ||||||||
25.0449 | + | 16.5749i | 1.54141 | + | 1.02011i | |||||
4.07746 | + | 4.07746i | 0.250477 | + | 0.250477i | |||||
−2.96715 | − | 4.42653i | −0.181928 | − | 0.271408i | |||||
−0.309407 | + | 0.309407i | −0.0189354 | + | 0.0189354i | |||||
21.0337 | − | 8.78514i | 1.28484 | − | 0.536638i | |||||
− | 5.87515i | − | 0.358214i | −0.983830 | − | 0.179107i | ||||
0.983830 | − | 0.179107i | ||||||||
−0.186973 | + | 0.947267i | −0.0113788 | + | 0.0576488i | |||||
21.5454 | + | 21.5454i | 1.30879 | + | 1.30879i | 0.922291 | + | 0.386497i | ||
0.386497 | + | 0.922291i | ||||||||
−20.6929 | + | 20.9382i | −1.25469 | + | 1.26956i | |||||
8.04680 | − | 2.10642i | 0.487015 | − | 0.127486i | |||||
4.74499 | − | 24.0397i | 0.286655 | − | 1.45229i | |||||
15.6525 | + | 15.6525i | 0.943878 | + | 0.943878i | |||||
−5.63072 | + | 13.7078i | −0.338929 | + | 0.825114i | |||||
−7.55761 | −0.454092 | −0.227046 | − | 0.973884i | ||||||
−0.227046 | + | 0.973884i | ||||||||
23.5435 | − | 15.7815i | 1.41204 | − | 0.946509i | |||||
0.929064 | − | 0.929064i | 0.0556216 | − | 0.0556216i | |||||
−0.246265 | − | 1.21009i | −0.0147171 | − | 0.0723165i | |||||
16.6452 | − | 16.6452i | 0.992969 | − | 0.992969i | −0.00700631 | − | 0.999975i | ||
0.999975 | + | 0.00700631i | ||||||||
−9.94627 | − | 1.96321i | −0.592292 | − | 0.116908i | |||||
− | 4.26888i | − | 0.253759i | −0.991918 | − | 0.126879i | ||||
0.991918 | − | 0.126879i | ||||||||
0.611669 | + | 1.46448i | 0.0362959 | + | 0.0869010i | |||||
−3.79540 | −0.224820 | |||||||||
17.5782 | + | 15.5499i | 1.03942 | + | 0.919487i | |||||
5.40687i | 0.319158i | |||||||||
12.9022 | + | 2.46777i | 0.760271 | + | 0.145415i | |||||
−37.1626 | −2.18603 | |||||||||
1.70353 | + | 0.336246i | 0.100035 | + | 0.0197451i | |||||
6.86093 | + | 6.86093i | 0.402195 | + | 0.402195i | |||||
1.18491 | + | 2.83697i | 0.0693418 | + | 0.166021i | |||||
20.7876 | + | 20.7876i | 1.21442 | + | 1.21442i | 0.969557 | + | 0.244867i | ||
0.244867 | + | 0.969557i | ||||||||
−1.81658 | − | 2.71005i | −0.105945 | − | 0.158053i | |||||
0.841256i | 0.0489798i | |||||||||
−1.86697 | + | 2.82102i | −0.108515 | + | 0.163968i | |||||
−5.08940 | + | 5.08940i | −0.295317 | + | 0.295317i | |||||
4.50708 | − | 22.8344i | 0.261088 | − | 1.32276i | |||||
−5.84800 | + | 9.99532i | −0.338199 | + | 0.578044i | |||||
20.5261 | + | 8.43143i | 1.18507 | + | 0.486789i | |||||
−4.50165 | + | 4.50165i | −0.259471 | + | 0.259471i | |||||
26.0064 | + | 5.13318i | 1.49650 | + | 0.295381i | |||||
−9.16482 | −0.526505 | |||||||||
−0.0888037 | − | 15.0724i | −0.00509324 | − | 0.864461i | |||||
−1.43064 | − | 1.43064i | −0.0819184 | − | 0.0819184i | |||||
13.4571 | + | 20.0759i | 0.769290 | + | 1.14766i | |||||
−13.7067 | + | 13.7067i | −0.782282 | + | 0.782282i | −0.980215 | − | 0.197933i | ||
0.197933 | + | 0.980215i | ||||||||
3.49765 | − | 8.51493i | 0.199297 | − | 0.485183i | |||||
18.1101 | 1.03025 | |||||||||
−0.194519 | − | 0.290192i | −0.0110479 | − | 0.0164818i | |||||
11.5656 | 0.655824 | 0.327912 | − | 0.944708i | ||||||
0.327912 | + | 0.944708i | ||||||||
22.2678 | + | 7.59257i | 1.26067 | + | 0.429845i | |||||
24.8146 | 1.40260 | 0.701302 | − | 0.712865i | ||||||
0.701302 | + | 0.712865i | ||||||||
−16.5537 | − | 24.6955i | −0.934178 | − | 1.39365i | |||||
−1.01385 | −0.0571242 | |||||||||
−15.9447 | − | 6.54954i | −0.896959 | − | 0.368441i | |||||
1.66646 | − | 1.66646i | 0.0935974 | − | 0.0935974i | −0.658758 | − | 0.752355i | ||
0.752355 | + | 0.658758i | ||||||||
23.9925 | + | 35.7930i | 1.34543 | + | 2.00717i | |||||
9.15260 | + | 9.15260i | 0.512447 | + | 0.512447i | |||||
1.30807 | − | 3.23861i | 0.0731231 | − | 0.181044i | |||||
−14.6175 | −0.815871 | |||||||||
4.45623 | + | 0.879578i | 0.248336 | + | 0.0490169i | |||||
19.6094 | − | 19.6094i | 1.09110 | − | 1.09110i | |||||
−8.03544 | + | 19.5621i | −0.446413 | + | 1.08678i | |||||
14.9670 | + | 8.75679i | 0.830219 | + | 0.485739i | |||||
−3.88528 | + | 19.6841i | −0.215186 | + | 1.09020i | |||||
−31.0374 | + | 31.0374i | −1.71637 | + | 1.71637i | |||||
−8.44003 | + | 12.7530i | −0.466023 | + | 0.704169i | |||||
3.10743i | 0.171318i | |||||||||
−3.65044 | − | 5.44589i | −0.200950 | − | 0.299786i | |||||
−5.45988 | − | 5.45988i | −0.300102 | − | 0.300102i | 0.540952 | − | 0.841054i | ||
−0.841054 | + | 0.540952i | ||||||||
−9.18075 | + | 3.83452i | −0.503859 | + | 0.210446i | |||||
1.96388 | + | 1.96388i | 0.107620 | + | 0.107620i | |||||
19.2338 | + | 3.79639i | 1.05242 | + | 0.207729i | |||||
−4.97607 | −0.271872 | |||||||||
−0.0543682 | − | 9.22776i | −0.00296603 | − | 0.503416i | |||||
− | 9.11530i | − | 0.496542i | −0.968691 | − | 0.248271i | ||||
0.968691 | − | 0.248271i | ||||||||
16.4061 | + | 8.29707i | 0.892372 | + | 0.451301i | |||||
7.96778 | 0.432750 | |||||||||
5.92989 | − | 2.47673i | 0.321593 | − | 0.134320i | |||||
− | 2.60422i | − | 0.141026i | |||||||
−12.1405 | − | 2.39631i | −0.656484 | − | 0.129578i | |||||
−0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | |||||
−17.6449 | + | 3.59092i | −0.951351 | + | 0.193609i | |||||
2.28752 | − | 2.28752i | 0.123156 | − | 0.123156i | |||||
−5.54097 | + | 3.71417i | −0.297884 | + | 0.199675i | |||||
−25.5760 | −1.37299 | −0.686496 | − | 0.727134i | ||||||
−0.686496 | + | 0.727134i | ||||||||
12.0024 | + | 4.93018i | 0.643396 | + | 0.264286i | |||||
18.6586 | + | 18.6586i | 0.998772 | + | 0.998772i | 0.999999 | − | 0.00122768i | ||
−0.00122768 | + | 0.999999i | ||||||||
1.31708 | − | 6.67275i | 0.0704008 | − | 0.356673i | |||||
−2.84727 | + | 4.86651i | −0.151976 | + | 0.259755i | |||||
21.5415 | − | 14.6242i | 1.14816 | − | 0.779471i | |||||
−21.4724 | − | 21.4724i | −1.14286 | − | 1.14286i | −0.987925 | − | 0.154934i | ||
−0.154934 | − | 0.987925i | ||||||||
−1.21734 | + | 6.16742i | −0.0647007 | + | 0.327795i | |||||
− | 0.346461i | − | 0.0183882i | |||||||
0.146200 | + | 0.350038i | 0.00774858 | + | 0.0185520i | |||||
12.0054 | − | 12.0054i | 0.635396 | − | 0.635396i | |||||
0.126875 | + | 0.189277i | 0.00670553 | + | 0.0100036i | |||||
−6.38497 | − | 6.38497i | −0.336986 | − | 0.336986i | 0.518246 | − | 0.855232i | ||
−0.855232 | + | 0.518246i | ||||||||
−2.39135 | − | 1.58261i | −0.126035 | − | 0.0834107i | |||||
− | 4.80093i | − | 0.252681i | |||||||
22.0593 | − | 14.7866i | 1.15941 | − | 0.777166i | |||||
− | 23.4952i | − | 1.23318i | |||||||
0.961450 | − | 7.14672i | 0.0503937 | − | 0.374590i | |||||
− | 0.671158i | − | 0.0351300i | |||||||
−8.41815 | − | 12.5586i | −0.440024 | − | 0.656447i | |||||
− | 7.32743i | − | 0.382489i | −0.981542 | − | 0.191244i | ||||
0.981542 | − | 0.191244i | ||||||||
9.13778 | + | 9.03073i | 0.476339 | + | 0.470759i | |||||
8.87815 | + | 8.87815i | 0.462178 | + | 0.462178i | |||||
0.613416 | − | 0.411180i | 0.0318900 | − | 0.0213762i | |||||
9.33913 | − | 9.33913i | 0.484863 | − | 0.484863i | |||||
−1.00614 | − | 2.40894i | −0.0521659 | − | 0.124898i | |||||
20.8485i | 1.07950i | 0.841827 | + | 0.539748i | ||||||
−0.841827 | + | 0.539748i | ||||||||
46.9974 | + | 9.27641i | 2.43018 | + | 0.479672i | |||||
−6.98641 | − | 6.98641i | −0.360777 | − | 0.360777i | |||||
−4.85064 | + | 7.32940i | −0.250153 | + | 0.377985i | |||||
8.75178 | + | 5.12044i | 0.450739 | + | 0.263716i | |||||
2.16965 | + | 0.428248i | 0.111595 | + | 0.0220267i | |||||
−14.8530 | − | 14.8530i | −0.762949 | − | 0.762949i | 0.213905 | − | 0.976854i | ||
−0.976854 | + | 0.213905i | ||||||||
−1.25021 | + | 3.04359i | −0.0641342 | + | 0.156133i | |||||
40.6032 | 2.08017 | |||||||||
−6.07378 | − | 9.06114i | −0.310762 | − | 0.463608i | |||||
−0.695732 | + | 0.695732i | −0.0355503 | + | 0.0355503i | −0.724658 | − | 0.689108i | ||
0.689108 | + | 0.724658i | ||||||||
14.2761 | − | 21.8501i | 0.728526 | − | 1.11503i | |||||
−1.42094 | + | 1.42094i | −0.0724180 | + | 0.0724180i | |||||
1.02116 | − | 5.17354i | 0.0519758 | − | 0.263326i | |||||
14.7835i | 0.751490i | |||||||||
7.76189 | − | 3.24190i | 0.394050 | − | 0.164583i | |||||
34.6577 | 1.75722 | 0.878608 | − | 0.477543i | ||||||
0.878608 | + | 0.477543i | ||||||||
−3.84675 | − | 3.40289i | −0.194788 | − | 0.172312i | |||||
23.6375i | 1.19540i | |||||||||
−2.77161 | + | 0.564051i | −0.139988 | + | 0.0284889i | |||||
−36.4945 | −1.84090 | |||||||||
5.91414 | − | 29.9630i | 0.297950 | − | 1.50951i | |||||
2.66080 | + | 2.66080i | 0.133879 | + | 0.133879i | |||||
−8.23845 | − | 19.7248i | −0.413997 | − | 0.991209i | |||||
15.8377 | + | 15.8377i | 0.794871 | + | 0.794871i | 0.982282 | − | 0.187411i | ||
−0.187411 | + | 0.982282i | ||||||||
−16.3465 | + | 10.9572i | −0.819375 | + | 0.549236i | |||||
8.69308i | 0.435198i | |||||||||
13.5226 | − | 13.6829i | 0.676130 | − | 0.684145i | |||||
4.26188 | − | 4.26188i | 0.212828 | − | 0.212828i | −0.592640 | − | 0.805468i | ||
0.805468 | + | 0.592640i | ||||||||
−36.4807 | − | 7.20061i | −1.81949 | − | 0.359134i | |||||
−0.516618 | − | 1.97355i | −0.0257346 | − | 0.0983096i | |||||
−3.01890 | + | 7.34942i | −0.150196 | + | 0.365647i | |||||
3.26445 | − | 3.26445i | 0.162212 | − | 0.162212i | |||||
0.770147 | − | 3.90182i | 0.0382218 | − | 0.193644i | |||||
5.50486 | 0.272866 | |||||||||
47.0572 | − | 9.57662i | 2.32968 | − | 0.474113i | |||||
4.64032 | + | 4.64032i | 0.229449 | + | 0.229449i | 0.812463 | − | 0.583013i | ||
−0.583013 | + | 0.812463i | ||||||||
2.77308 | − | 1.85883i | 0.136953 | − | 0.0918010i | |||||
−28.2645 | + | 28.2645i | −1.39419 | + | 1.39419i | |||||
5.96547 | − | 14.5228i | 0.293898 | − | 0.715486i | |||||
1.92683 | 0.0948133 | |||||||||
8.76146 | − | 5.87291i | 0.430602 | − | 0.288638i | |||||
2.17194 | 0.106617 | |||||||||
13.4237 | − | 15.3560i | 0.658149 | − | 0.752888i | |||||
−46.2361 | −2.26419 | |||||||||
−20.3738 | + | 13.6568i | −0.996514 | + | 0.667974i | |||||
10.1698 | 0.496830 | 0.248415 | − | 0.968654i | ||||||
0.248415 | + | 0.968654i | ||||||||
−0.765412 | + | 1.86338i | −0.0373483 | + | 0.0909234i | |||||
11.3830 | − | 11.3830i | 0.554774 | − | 0.554774i | −0.373041 | − | 0.927815i | ||
0.927815 | + | 0.373041i | ||||||||
−1.93889 | + | 1.29966i | −0.0943835 | + | 0.0632663i | |||||
5.10243 | + | 5.10243i | 0.248089 | + | 0.248089i | |||||
36.6062 | − | 7.44972i | 1.77775 | − | 0.361790i | |||||
35.3947 | 1.71690 | |||||||||
0.501345 | − | 2.53998i | 0.0242903 | − | 0.123062i | |||||
−3.27679 | + | 3.27679i | −0.158575 | + | 0.158575i | |||||
−4.81502 | + | 11.7220i | −0.232743 | + | 0.566606i | |||||
−9.69511 | − | 37.0366i | −0.468084 | − | 1.78815i | |||||
3.85644 | + | 0.761190i | 0.185974 | + | 0.0367078i | |||||
−10.0473 | + | 10.0473i | −0.483959 | + | 0.483959i | −0.906393 | − | 0.422434i | ||
0.422434 | + | 0.906393i | ||||||||
4.44899 | + | 4.39688i | 0.214052 | + | 0.211545i | |||||
− | 15.3538i | − | 0.737856i | −0.929458 | − | 0.368928i | ||||
0.929458 | − | 0.368928i | ||||||||
−0.664664 | + | 0.445532i | −0.0319049 | + | 0.0213862i | |||||
−2.00292 | − | 2.00292i | −0.0960327 | − | 0.0960327i | |||||
14.6657 | + | 35.1131i | 0.702358 | + | 1.68161i | |||||
−8.55789 | − | 8.55789i | −0.409379 | − | 0.409379i | |||||
0.971197 | − | 4.92040i | 0.0464056 | − | 0.235106i | |||||
−3.80035 | −0.181381 | −0.0906905 | − | 0.995879i | ||||||
−0.0906905 | + | 0.995879i | ||||||||
−5.56961 | + | 1.13347i | −0.265521 | + | 0.0540361i | |||||
2.32216i | 0.110579i | |||||||||
37.4562 | − | 2.29328i | 1.78161 | − | 0.109080i | |||||
4.80162 | 0.228132 | 0.114066 | − | 0.993473i | ||||||
0.114066 | + | 0.993473i | ||||||||
5.09208 | − | 2.12681i | 0.241660 | − | 0.100934i | |||||
− | 0.0828104i | − | 0.00392559i | |||||||
−7.26744 | + | 36.8192i | −0.344123 | + | 1.74344i | |||||
−26.8474 | + | 26.8474i | −1.26984 | + | 1.26984i | |||||
−7.41780 | − | 2.99603i | −0.350458 | − | 0.141549i | |||||
−28.3112 | + | 28.3112i | −1.33609 | + | 1.33609i | −0.436271 | + | 0.899815i | ||
−0.899815 | + | 0.436271i | ||||||||
−8.79408 | − | 13.1194i | −0.414557 | − | 0.618454i | |||||
24.8859 | 1.17183 | |||||||||
2.62459 | − | 6.38949i | 0.123450 | − | 0.300536i | |||||
−30.5768 | − | 30.5768i | −1.43663 | − | 1.43663i | |||||
−30.2249 | − | 5.96585i | −1.41853 | − | 0.279991i | |||||
−0.794949 | + | 1.35872i | −0.0372678 | + | 0.0636976i | |||||
−13.5697 | + | 20.5041i | −0.635462 | + | 0.960194i | |||||
−1.37861 | − | 1.37861i | −0.0644889 | − | 0.0644889i | 0.674127 | − | 0.738616i | ||
−0.738616 | + | 0.674127i | ||||||||
20.5412 | + | 4.05445i | 0.959825 | + | 0.189452i | |||||
11.5086i | 0.537176i | |||||||||
−1.08089 | − | 2.58791i | −0.0503967 | − | 0.120662i | |||||
−14.0302 | + | 14.0302i | −0.653452 | + | 0.653452i | −0.953823 | − | 0.300371i | ||
0.300371 | + | 0.953823i | ||||||||
−12.4734 | + | 8.36107i | −0.580316 | + | 0.388992i | |||||
−17.3484 | − | 17.3484i | −0.806249 | − | 0.806249i | 0.177815 | − | 0.984064i | ||
−0.984064 | + | 0.177815i | ||||||||
7.90719 | − | 8.00092i | 0.367082 | − | 0.371433i | |||||
0.569897i | 0.0264283i | |||||||||
9.65800 | + | 14.4082i | 0.447398 | + | 0.667448i | |||||
− | 4.11535i | − | 0.190436i | −0.995456 | − | 0.0952178i | ||||
0.995456 | − | 0.0952178i | ||||||||
−10.1563 | − | 13.3137i | −0.469475 | − | 0.615427i | |||||
11.3973i | 0.526280i | |||||||||
1.59374 | − | 1.06830i | 0.0735138 | − | 0.0492771i | |||||
48.4985i | 2.23469i | |||||||||
4.54477 | + | 3.00775i | 0.209190 | + | 0.138443i | |||||
20.7195 | + | 20.7195i | 0.952686 | + | 0.952686i | |||||
15.6566 | + | 23.3572i | 0.719130 | + | 1.07283i | |||||
−12.8146 | + | 12.8146i | −0.587973 | + | 0.587973i | |||||
−5.67277 | − | 13.5820i | −0.260011 | − | 0.622529i | |||||
− | 30.6699i | − | 1.40428i | |||||||
1.15230 | − | 5.83792i | 0.0527048 | − | 0.267020i | |||||
1.20602 | + | 1.20602i | 0.0551044 | + | 0.0551044i | 0.734122 | − | 0.679018i | ||
−0.679018 | + | 0.734122i | ||||||||
−4.71405 | + | 3.20030i | −0.215166 | + | 0.146073i | |||||
4.17175 | − | 1.09204i | 0.190215 | − | 0.0497928i | |||||
4.73604 | − | 23.9943i | 0.215721 | − | 1.09291i | |||||
−5.23939 | − | 5.23939i | −0.238400 | − | 0.238400i | |||||
−18.8412 | − | 7.73934i | −0.856419 | − | 0.351788i | |||||
−1.83628 | −0.0833810 | |||||||||
23.1452 | − | 15.5145i | 1.04989 | − | 0.703753i | |||||
6.22727 | − | 6.22727i | 0.282185 | − | 0.282185i | −0.551795 | − | 0.833980i | ||
0.833980 | + | 0.551795i | ||||||||
−12.8439 | + | 2.61386i | −0.581414 | + | 0.118324i | |||||
23.1435 | − | 23.1435i | 1.04659 | − | 1.04659i | |||||
0.605758 | + | 0.119566i | 0.0273654 | + | 0.00540142i | |||||
6.88539i | 0.310733i | 0.987857 | + | 0.155367i | ||||||
−0.987857 | + | 0.155367i | ||||||||
23.0199 | − | 9.61469i | 1.03782 | − | 0.433464i | |||||
20.6967 | 0.932132 | |||||||||
−12.7306 | + | 14.3912i | −0.572779 | + | 0.647490i | |||||
4.66642i | 0.209740i | |||||||||
−2.26319 | + | 0.0133343i | −0.101620 | + | 0.000598727i | |||||
−0.793544 | −0.0355953 | |||||||||
15.9230 | + | 3.14290i | 0.713526 | + | 0.140837i | |||||
−10.0565 | − | 10.0565i | −0.450192 | − | 0.450192i | 0.445226 | − | 0.895418i | ||
−0.895418 | + | 0.445226i | ||||||||
−7.90384 | + | 3.30119i | −0.353471 | + | 0.147634i | |||||
−22.6140 | − | 22.6140i | −1.01032 | − | 1.01032i | |||||
14.9556 | + | 22.3114i | 0.667501 | + | 0.995808i | |||||
30.2262i | 1.34772i | 0.738858 | + | 0.673861i | ||||||
−0.738858 | + | 0.673861i | ||||||||
−3.62485 | + | 5.47721i | −0.161464 | + | 0.243974i | |||||
1.22645 | − | 1.22645i | 0.0545762 | − | 0.0545762i | |||||
4.04839 | − | 20.5105i | 0.179973 | − | 0.911802i | |||||
−14.6945 | − | 26.1442i | −0.652604 | − | 1.16110i | |||||
13.3747 | − | 32.5604i | 0.593407 | − | 1.44463i | |||||
7.53053 | − | 7.53053i | 0.333785 | − | 0.333785i | −0.520237 | − | 0.854022i | ||
0.854022 | + | 0.520237i | ||||||||
−10.2847 | − | 2.03002i | −0.455415 | − | 0.0898906i | |||||
−1.53724 | −0.0680034 | |||||||||
−12.8194 | − | 18.6457i | −0.566543 | − | 0.824032i | |||||
−4.16666 | − | 4.16666i | −0.183962 | − | 0.183962i | |||||
−11.6238 | − | 17.3409i | −0.512702 | − | 0.764872i | |||||
−2.42351 | + | 2.42351i | −0.106793 | + | 0.106793i | |||||
27.1709 | + | 11.1609i | 1.19613 | + | 0.491331i | |||||
14.3024 | 0.629019 | |||||||||
−0.941777 | − | 1.40499i | −0.0413793 | − | 0.0617315i | |||||
10.8817 | 0.477653 | |||||||||
−3.99596 | + | 1.96386i | −0.175234 | + | 0.0861211i | |||||
−19.1146 | −0.837426 | −0.418713 | − | 0.908119i | ||||||
−0.418713 | + | 0.908119i | ||||||||
−5.14224 | − | 7.67143i | −0.225070 | − | 0.335769i | |||||
−33.5877 | −1.46869 | −0.734344 | − | 0.678778i | ||||||
−0.734344 | + | 0.678778i | ||||||||
−12.0213 | + | 29.2655i | −0.525152 | + | 1.27847i | |||||
−7.84545 | + | 7.84545i | −0.342404 | + | 0.342404i | |||||
16.7033 | + | 24.9187i | 0.728298 | + | 1.08651i | |||||
−2.94445 | − | 2.94445i | −0.128262 | − | 0.128262i | |||||
−42.4722 | + | 0.250238i | −1.84836 | + | 0.0108902i | |||||
−12.6842 | −0.551486 | |||||||||
−8.00057 | − | 1.57916i | −0.347522 | − | 0.0685945i | |||||
3.16389 | − | 3.16389i | 0.137301 | − | 0.137301i | |||||
6.97113 | + | 2.86351i | 0.302237 | + | 0.124149i | |||||
18.8593 | − | 4.93681i | 0.816887 | − | 0.213837i | |||||
0.119831 | − | 0.607101i | 0.00518558 | − | 0.0262718i | |||||
1.95614 | − | 1.95614i | 0.0845711 | − | 0.0845711i | |||||
−17.7910 | + | 26.8826i | −0.768456 | + | 1.16115i | |||||
− | 0.371714i | − | 0.0160406i | |||||||
4.62625 | + | 6.90164i | 0.199452 | + | 0.297551i | |||||
3.25457 | + | 3.25457i | 0.140184 | + | 0.140184i | |||||
−0.526262 | − | 1.26000i | −0.0226467 | − | 0.0542217i | |||||
−25.7532 | − | 25.7532i | −1.10722 | − | 1.10722i | −0.993515 | − | 0.113701i | ||
−0.113701 | − | 0.993515i | ||||||||
−42.2751 | − | 8.34433i | −1.81587 | − | 0.358419i | |||||
−43.3214 | −1.85910 | |||||||||
7.82102 | − | 40.8905i | 0.335323 | − | 1.75317i | |||||
− | 8.30692i | − | 0.355829i | |||||||
−7.79407 | + | 8.81071i | −0.333555 | + | 0.377063i | |||||
45.4367 | 1.94273 | 0.971366 | − | 0.237589i | ||||||
0.971366 | + | 0.237589i | ||||||||
13.3554 | + | 31.9761i | 0.570516 | + | 1.36595i | |||||
10.7610i | 0.459270i | |||||||||
−30.7123 | − | 6.06205i | −1.30958 | − | 0.258487i | |||||
−7.49318 | + | 7.49318i | −0.319220 | + | 0.319220i | |||||
−4.17940 | − | 20.5366i | −0.177887 | − | 0.874095i | |||||
6.09436 | − | 6.09436i | 0.259158 | − | 0.259158i | |||||
8.87805 | − | 5.95106i | 0.377192 | − | 0.252836i | |||||
−1.20466 | −0.0511351 | |||||||||
−15.2302 | + | 37.0775i | −0.645904 | + | 1.57244i | |||||
−16.3395 | − | 16.3395i | −0.692326 | − | 0.692326i | 0.270418 | − | 0.962743i | ||
−0.962743 | + | 0.270418i | ||||||||
−0.359818 | + | 1.82296i | −0.0152323 | + | 0.0771719i | |||||
19.8122 | + | 11.5916i | 0.837966 | + | 0.490272i | |||||
1.24215 | + | 1.22759i | 0.0524902 | + | 0.0518753i | |||||
−55.2569 | − | 55.2569i | −2.33295 | − | 2.33295i | |||||
−6.44653 | + | 32.6603i | −0.271931 | + | 1.37769i | |||||
0.0579692i | 0.00244311i | 0.999999 | + | 0.00122156i | ||||||
−0.999999 | + | 0.00122156i | ||||||||
13.2299 | − | 5.52574i | 0.557081 | − | 0.232676i | |||||
−1.06626 | + | 1.06626i | −0.0448578 | + | 0.0448578i | |||||
3.36143 | + | 5.01473i | 0.141291 | + | 0.210785i | |||||
−7.47699 | − | 7.47699i | −0.314004 | − | 0.314004i | |||||
−1.87171 | − | 1.23871i | −0.0785352 | − | 0.0519750i | |||||
17.8855i | 0.749801i | 0.927065 | + | 0.374900i | ||||||
−0.927065 | + | 0.374900i | ||||||||
4.45852 | − | 2.98860i | 0.186747 | − | 0.125179i | |||||
− | 27.9419i | − | 1.16933i | −0.811275 | − | 0.584665i | ||||
0.811275 | − | 0.584665i | ||||||||
−32.8939 | − | 4.42522i | −1.37536 | − | 0.185028i | |||||
17.7948i | 0.743389i | |||||||||
−4.25751 | − | 6.35154i | −0.177705 | − | 0.265108i | |||||
− | 15.4469i | − | 0.644180i | |||||||
−17.0996 | + | 7.26061i | −0.712485 | + | 0.302525i | |||||
23.2682 | + | 23.2682i | 0.968670 | + | 0.968670i | 0.999524 | − | 0.0308540i | ||
−0.0308540 | + | 0.999524i | ||||||||
43.6555 | − | 29.2628i | 1.81583 | − | 1.21717i | |||||
−6.08277 | + | 6.08277i | −0.252791 | + | 0.252791i | |||||
−2.26594 | + | 0.946412i | −0.0940880 | + | 0.0392976i | |||||
− | 4.97468i | − | 0.206384i | |||||||
−13.4621 | − | 2.65718i | −0.558024 | − | 0.110144i | |||||
−42.9848 | − | 42.9848i | −1.78025 | − | 1.78025i | |||||
−3.62584 | − | 2.39960i | −0.150038 | − | 0.0992962i | |||||
0.925712 | + | 3.53635i | 0.0382735 | + | 0.146210i | |||||
−40.7882 | − | 8.05084i | −1.68495 | − | 0.332577i | |||||
25.0160 | + | 25.0160i | 1.03252 | + | 1.03252i | 0.999453 | + | 0.0330681i | ||
0.0330681 | + | 0.999453i | ||||||||
4.26793 | + | 1.75312i | 0.176006 | + | 0.0722975i | |||||
2.13206 | 0.0878499 | |||||||||
−0.662427 | − | 0.988237i | −0.0272717 | − | 0.0406851i | |||||
−35.2288 | + | 35.2288i | −1.44912 | + | 1.44912i | |||||
−0.0281864 | − | 4.78400i | −0.00115845 | − | 0.196621i | |||||
32.7412 | − | 32.7412i | 1.34452 | − | 1.34452i | 0.453021 | − | 0.891500i | ||
0.891500 | − | 0.453021i | ||||||||
1.97108 | − | 9.98612i | 0.0808743 | − | 0.409736i | |||||
3.21317i | 0.131727i | |||||||||
12.6858 | + | 30.3729i | 0.519631 | + | 1.24412i | |||||
32.1022 | 1.31386 | |||||||||
−1.00083 | − | 16.3465i | −0.0409269 | − | 0.668460i | |||||
− | 4.75407i | − | 0.194246i | −0.995272 | − | 0.0971230i | ||||
0.995272 | − | 0.0971230i | ||||||||
−30.7515 | + | 6.25823i | −1.25542 | + | 0.255491i | |||||
19.9892 | 0.815377 | 0.407688 | − | 0.913121i | ||||||
0.407688 | + | 0.913121i | ||||||||
1.74345 | − | 8.83289i | 0.0710577 | − | 0.360002i | |||||
18.7146 | + | 18.7146i | 0.762116 | + | 0.762116i | |||||
−34.5921 | + | 14.4481i | −1.40753 | + | 0.587883i | |||||
3.14416 | + | 3.14416i | 0.127828 | + | 0.127828i | |||||
10.7661 | − | 7.21662i | 0.437342 | − | 0.293155i | |||||
2.88939i | 0.117277i | 0.998279 | + | 0.0586384i | ||||||
−0.998279 | + | 0.0586384i | ||||||||
11.9727 | + | 17.6359i | 0.485558 | + | 0.715229i | |||||
−4.58754 | + | 4.58754i | −0.185897 | + | 0.185897i | |||||
2.80713 | + | 0.554076i | 0.113657 | + | 0.0224339i | |||||
10.8388 | − | 2.83727i | 0.438490 | − | 0.114784i | |||||
−31.6165 | − | 12.9870i | −1.27802 | − | 0.524969i | |||||
−8.92779 | + | 8.92779i | −0.360590 | + | 0.360590i | −0.864030 | − | 0.503440i | ||
0.503440 | + | 0.864030i | ||||||||
5.30848 | − | 26.8945i | 0.214233 | − | 1.08537i | |||||
−5.44595 | −0.219602 | |||||||||
2.59613 | + | 12.7568i | 0.104601 | + | 0.513985i | |||||
2.43211 | + | 2.43211i | 0.0979131 | + | 0.0979131i | 0.754367 | − | 0.656453i | ||
−0.656453 | + | 0.754367i | ||||||||
−21.2742 | + | 14.2604i | −0.855775 | + | 0.573636i | |||||
−20.5450 | + | 20.5450i | −0.825774 | + | 0.825774i | −0.986929 | − | 0.161155i | ||
0.161155 | + | 0.986929i | ||||||||
0.457010 | + | 0.187724i | 0.0183540 | + | 0.00753919i | |||||
5.02256 | 0.201548 | |||||||||
−13.5863 | + | 9.10704i | −0.544760 | + | 0.365159i | |||||
−0.189671 | −0.00759902 | |||||||||
−32.1370 | + | 8.61516i | −1.28651 | + | 0.344882i | |||||
−22.1770 | −0.887082 | |||||||||
−29.1501 | + | 19.5397i | −1.16507 | + | 0.780961i | |||||
40.0112 | 1.59789 | |||||||||
38.8918 | + | 15.9754i | 1.55195 | + | 0.637490i | |||||
6.22405 | − | 6.22405i | 0.248169 | − | 0.248169i | |||||
1.19099 | − | 0.798335i | 0.0474502 | − | 0.0318064i | |||||
18.4822 | + | 18.4822i | 0.735766 | + | 0.735766i | 0.971756 | − | 0.235989i | ||
−0.235989 | + | 0.971756i | ||||||||
23.8878 | − | 4.86140i | 0.950205 | − | 0.193376i | |||||
3.80770 | 0.151343 | |||||||||
−0.645403 | + | 3.26982i | −0.0256322 | + | 0.129861i | |||||
−5.43357 | + | 5.43357i | −0.215625 | + | 0.215625i | |||||
−56.3687 | − | 23.1544i | −2.23517 | − | 0.918131i | |||||
3.11204 | + | 1.82077i | 0.123303 | + | 0.0721417i | |||||
−17.9587 | − | 3.54472i | −0.710992 | − | 0.140337i | |||||
−1.30301 | + | 1.30301i | −0.0515462 | + | 0.0515462i | |||||
1.01356 | + | 4.83446i | 0.0400645 | + | 0.191099i | |||||
47.8020i | 1.88807i | 0.329851 | + | 0.944033i | ||||||
−0.329851 | + | 0.944033i | ||||||||
17.1715 | − | 11.5102i | 0.677704 | − | 0.454272i | |||||
17.7744 | + | 17.7744i | 0.700955 | + | 0.700955i | 0.964616 | − | 0.263660i | ||
−0.263660 | + | 0.964616i | ||||||||
−5.92741 | + | 2.47570i | −0.233573 | + | 0.0975561i | |||||
−4.53419 | − | 4.53419i | −0.178534 | − | 0.178534i | |||||
−7.59455 | + | 38.4765i | −0.298803 | + | 1.51384i | |||||
37.3312 | 1.46764 | 0.733820 | − | 0.679344i | ||||||
0.733820 | + | 0.679344i | ||||||||
−5.96431 | − | 29.3072i | −0.234300 | − | 1.15130i | |||||
− | 8.86855i | − | 0.348121i | |||||||
−24.4773 | + | 1.49864i | −0.960078 | + | 0.0587814i | |||||
1.30531 | 0.0511590 | |||||||||
−10.9357 | − | 26.1826i | −0.428274 | − | 1.02539i | |||||
− | 44.9715i | − | 1.75987i | −0.475093 | − | 0.879936i | ||||
0.475093 | − | 0.879936i | ||||||||
12.0205 | − | 60.8998i | 0.470039 | − | 2.38137i | |||||
4.88373 | − | 4.88373i | 0.190823 | − | 0.190823i | |||||
−0.127423 | − | 21.6271i | −0.00497502 | − | 0.844397i | |||||
−2.52416 | + | 2.52416i | −0.0984771 | + | 0.0984771i | |||||
−2.44687 | − | 3.65035i | −0.0953889 | − | 0.142305i | |||||
10.4352 | 0.406496 | 0.203248 | − | 0.979127i | ||||||
0.203248 | + | 0.979127i | ||||||||
8.57647 | + | 3.52293i | 0.333839 | + | 0.137130i | |||||
−4.79732 | − | 4.79732i | −0.186594 | − | 0.186594i | 0.607628 | − | 0.794222i | ||
−0.794222 | + | 0.607628i | ||||||||
10.7131 | + | 2.11456i | 0.416375 | + | 0.0821848i | |||||
−52.8370 | − | 30.9136i | −2.05202 | − | 1.20058i | |||||
7.76539 | − | 11.7336i | 0.301355 | − | 0.455353i | |||||
−1.16332 | − | 1.16332i | −0.0451115 | − | 0.0451115i | |||||
−3.85341 | − | 0.760593i | −0.149317 | − | 0.0294724i | |||||
− | 9.03240i | − | 0.349736i | |||||||
−25.5836 | + | 10.6855i | −0.989859 | + | 0.413433i | |||||
43.2900 | − | 43.2900i | 1.67369 | − | 1.67369i | |||||
5.84548 | − | 3.91829i | 0.225831 | − | 0.151377i | |||||
15.0819 | + | 15.0819i | 0.582230 | + | 0.582230i | |||||
7.33005 | + | 10.7972i | 0.282763 | + | 0.416511i | |||||
7.35473i | 0.283504i | 0.989902 | + | 0.141752i | ||||||
−0.989902 | + | 0.141752i | ||||||||
7.17763 | + | 10.7079i | 0.276472 | + | 0.412453i | |||||
− | 7.52077i | − | 0.289474i | |||||||
−25.8058 | + | 3.17184i | −0.992531 | + | 0.121994i | |||||
− | 17.2816i | − | 0.664185i | −0.943247 | − | 0.332093i | ||||
0.943247 | − | 0.332093i | ||||||||
−9.35988 | + | 6.27403i | −0.359464 | + | 0.240953i | |||||
4.20586i | 0.161406i | |||||||||
−5.01570 | + | 7.57881i | −0.192343 | + | 0.290634i | |||||
35.5368 | + | 35.5368i | 1.36177 | + | 1.36177i | |||||
2.05063 | + | 3.05922i | 0.0785226 | + | 0.117144i | |||||
17.4628 | − | 17.4628i | 0.668195 | − | 0.668195i | −0.289103 | − | 0.957298i | ||
0.957298 | + | 0.289103i | ||||||||
16.1486 | − | 6.74477i | 0.617457 | − | 0.257893i | |||||
− | 7.56478i | − | 0.289035i | |||||||
0.273856 | − | 1.38744i | 0.0104559 | − | 0.0529729i | |||||
−24.1512 | − | 24.1512i | −0.921424 | − | 0.921424i | |||||
17.9002 | − | 18.1124i | 0.682439 | − | 0.690529i | |||||
−41.1023 | − | 24.0479i | −1.56587 | − | 0.916152i | |||||
−0.885934 | + | 4.48843i | −0.0337269 | + | 0.170872i | |||||
13.0662 | + | 13.0662i | 0.497061 | + | 0.497061i | 0.910522 | − | 0.413461i | ||
−0.413461 | + | 0.910522i | ||||||||
3.58443 | − | 8.72620i | 0.136260 | − | 0.331720i | |||||
10.6881 | 0.406007 | |||||||||
30.0446 | − | 20.1392i | 1.14048 | − | 0.764474i | |||||
6.18737 | − | 6.18737i | 0.234700 | − | 0.234700i | |||||
−17.9816 | + | 3.65943i | −0.681590 | + | 0.138710i | |||||
28.1372 | − | 28.1372i | 1.06577 | − | 1.06577i | |||||
−36.6108 | − | 7.22630i | −1.38574 | − | 0.273520i | |||||
− | 28.2957i | − | 1.07024i | |||||||
3.70710 | + | 8.87569i | 0.140115 | + | 0.335470i | |||||
−14.6400 | −0.552944 | −0.276472 | − | 0.961022i | ||||||
−0.276472 | + | 0.961022i | ||||||||
−0.487282 | − | 7.95879i | −0.0183913 | − | 0.300385i | |||||
4.50680i | 0.169977i | |||||||||
−13.7897 | + | 34.1416i | −0.519718 | + | 1.28676i | |||||
−3.12988 | −0.117878 | |||||||||
42.1318 | + | 8.31605i | 1.58565 | + | 0.312979i | |||||
−2.80909 | − | 2.80909i | −0.105647 | − | 0.105647i | |||||
−3.42637 | − | 8.20354i | −0.128771 | − | 0.308308i | |||||
7.27499 | + | 7.27499i | 0.273218 | + | 0.273218i | 0.830394 | − | 0.557176i | ||
−0.557176 | + | 0.830394i | ||||||||
0.272813 | + | 0.406994i | 0.0102385 | + | 0.0152742i | |||||
− | 20.0140i | − | 0.750585i | |||||||
−0.447372 | − | 0.296073i | −0.0167660 | − | 0.0110958i | |||||
−1.28501 | + | 1.28501i | −0.0481239 | + | 0.0481239i | |||||
−4.64960 | + | 23.5564i | −0.174007 | + | 0.881577i | |||||
6.25370 | + | 3.65888i | 0.233875 | + | 0.136834i | |||||
−0.298084 | − | 0.122443i | −0.0111399 | − | 0.00457590i | |||||
−6.86390 | + | 6.86390i | −0.256337 | + | 0.256337i | |||||
12.5282 | + | 2.47284i | 0.467549 | + | 0.0922856i | |||||
22.3752 | 0.834454 | 0.417227 | − | 0.908802i | ||||||
0.417227 | + | 0.908802i | ||||||||
4.05534 | − | 0.0238933i | 0.151134 | − | 0.000890451i | |||||
5.55088 | + | 5.55088i | 0.206726 | + | 0.206726i | |||||
3.78038 | + | 5.63974i | 0.140691 | + | 0.209889i | |||||
−28.2112 | + | 28.2112i | −1.04919 | + | 1.04919i | |||||
−14.2701 | + | 34.7401i | −0.530343 | + | 1.29111i | |||||
−13.5251 | −0.502310 | |||||||||
18.5008 | + | 27.6003i | 0.686628 | + | 1.02434i | |||||
26.5309 | 0.983976 | 0.491988 | − | 0.870602i | ||||||
0.491988 | + | 0.870602i | ||||||||
4.49808 | + | 9.15245i | 0.166710 | + | 0.339212i | |||||
−13.7319 | −0.508587 | |||||||||
0.528487 | + | 0.788421i | 0.0195602 | + | 0.0291808i | |||||
46.8529 | 1.73292 | |||||||||
19.7779 | + | 8.12409i | 0.731012 | + | 0.300275i | |||||
−1.27103 | + | 1.27103i | −0.0469465 | + | 0.0469465i | −0.730190 | − | 0.683244i | ||
0.683244 | + | 0.730190i | ||||||||
5.76981 | + | 8.60766i | 0.212968 | + | 0.317714i | |||||
−0.712217 | − | 0.712217i | −0.0262705 | − | 0.0262705i | |||||
−17.8453 | − | 3.41323i | −0.657788 | − | 0.125813i | |||||
52.4580 | 1.93231 | |||||||||
−17.4202 | − | 3.43843i | −0.641247 | − | 0.126570i | |||||
3.88679 | − | 3.88679i | 0.142978 | − | 0.142978i | −0.631995 | − | 0.774973i | ||
0.774973 | + | 0.631995i | ||||||||
−0.396817 | + | 0.966040i | −0.0145873 | + | 0.0355123i | |||||
30.3217 | − | 7.93733i | 1.11389 | − | 0.291585i | |||||
−3.61696 | + | 18.3247i | −0.132783 | + | 0.672721i | |||||
−18.7330 | + | 18.7330i | −0.687245 | + | 0.687245i | −0.961622 | − | 0.274377i | ||
0.274377 | + | 0.961622i | ||||||||
3.07879 | + | 2.03756i | 0.112874 | + | 0.0747007i | |||||
− | 7.18549i | − | 0.263256i | |||||||
−16.4167 | − | 24.4911i | −0.601057 | − | 0.896683i | |||||
−8.16848 | − | 8.16848i | −0.298869 | − | 0.298869i | |||||
−62.5131 | + | 26.1098i | −2.28571 | + | 0.954668i | |||||
−4.48038 | − | 4.48038i | −0.163710 | − | 0.163710i | |||||
13.7083 | + | 2.70577i | 0.500558 | + | 0.0988009i | |||||
−27.1095 | −0.989241 | −0.494621 | − | 0.869109i | ||||||
−0.494621 | + | 0.869109i | ||||||||
−0.0732322 | − | 12.4295i | −0.00267050 | − | 0.453257i | |||||
− | 43.8165i | − | 1.59676i | |||||||
−14.3128 | + | 0.876311i | −0.521242 | + | 0.0319134i | |||||
8.18366 | 0.297834 | |||||||||
−2.88593 | + | 1.20536i | −0.104960 | + | 0.0438387i | |||||
− | 4.80139i | − | 0.174509i | −0.996186 | − | 0.0872547i | ||||
0.996186 | − | 0.0872547i | ||||||||
29.1438 | + | 5.75245i | 1.05855 | + | 0.208938i | |||||
−24.1151 | + | 24.1151i | −0.875322 | + | 0.875322i | |||||
−0.927966 | − | 4.55981i | −0.0336609 | − | 0.165402i | |||||
8.24646 | − | 8.24646i | 0.298934 | − | 0.298934i | −0.541662 | − | 0.840596i | ||
0.840596 | + | 0.541662i | ||||||||
−47.6973 | + | 31.9720i | −1.72789 | + | 1.15823i | |||||
−19.0264 | −0.688801 | |||||||||
14.2700 | + | 5.86162i | 0.516269 | + | 0.212066i | |||||
5.27606 | + | 5.27606i | 0.190756 | + | 0.190756i | |||||
0.269451 | − | 1.36513i | 0.00973565 | − | 0.0493240i | |||||
−1.75932 | − | 6.72084i | −0.0635254 | − | 0.242676i | |||||
0.434938 | + | 36.9091i | 0.0156945 | + | 1.33184i | |||||
24.0851 | + | 24.0851i | 0.868530 | + | 0.868530i | 0.992310 | − | 0.123780i | ||
−0.123780 | + | 0.992310i | ||||||||
0.550319 | − | 2.78809i | 0.0198321 | − | 0.100476i | |||||
34.0550i | 1.22646i | |||||||||
2.87421 | + | 6.88154i | 0.103445 | + | 0.247672i | |||||
33.3001 | − | 33.3001i | 1.19772 | − | 1.19772i | 0.222874 | − | 0.974847i | ||
0.974847 | − | 0.222874i | ||||||||
−11.6410 | − | 17.3665i | −0.418425 | − | 0.624225i | |||||
1.92417 | + | 1.92417i | 0.0691182 | + | 0.0691182i | |||||
−6.56527 | + | 9.92024i | −0.235679 | + | 0.356116i | |||||
2.75919i | 0.0989855i | |||||||||
−40.7130 | + | 27.2904i | −1.45963 | + | 0.978408i | |||||
20.3740i | 0.729974i | |||||||||
7.19837 | + | 0.968399i | 0.257743 | + | 0.0346742i | |||||
3.65241i | 0.130693i | |||||||||
−18.6128 | − | 27.7674i | −0.665592 | − | 0.992959i | |||||
− | 4.39769i | − | 0.157160i | |||||||
2.81171 | − | 2.84504i | 0.100418 | − | 0.101609i | |||||
−6.49013 | − | 6.49013i | −0.231643 | − | 0.231643i | |||||
42.8707 | − | 28.7367i | 1.52915 | − | 1.02500i | |||||
15.9271 | − | 15.9271i | 0.567741 | − | 0.567741i | −0.363754 | − | 0.931495i | ||
0.931495 | + | 0.363754i | ||||||||
16.6462 | + | 39.8550i | 0.592996 | + | 1.41978i | |||||
− | 48.9369i | − | 1.74220i | |||||||
−5.22086 | − | 1.03050i | −0.185750 | − | 0.0366636i | |||||
2.44218 | + | 2.44218i | 0.0868340 | + | 0.0868340i | |||||
25.2097 | + | 16.6839i | 0.895787 | + | 0.592837i | |||||
14.4214 | + | 8.43760i | 0.512120 | + | 0.299628i | |||||
−31.0758 | − | 6.13380i | −1.10284 | − | 0.217680i | |||||
9.40662 | + | 9.40662i | 0.333619 | + | 0.333619i | |||||
10.5745 | − | 25.7433i | 0.374802 | − | 0.912446i | |||||
28.8545 | 1.02208 | 0.511040 | − | 0.859557i | ||||||
0.511040 | + | 0.859557i | ||||||||
−6.84516 | − | 10.2119i | −0.242316 | − | 0.361498i | |||||
16.1709 | − | 16.1709i | 0.572087 | − | 0.572087i | |||||
−5.11097 | + | 26.7216i | −0.180700 | + | 0.944750i | |||||
−0.311443 | + | 0.311443i | −0.0110043 | + | 0.0110043i | |||||
−1.65059 | + | 8.36241i | −0.0582842 | + | 0.295287i | |||||
7.07537i | 0.249685i | |||||||||
48.5244 | − | 20.2671i | 1.71132 | − | 0.714767i | |||||
1.40228 | 0.0494240 | |||||||||
2.16091 | + | 1.91157i | 0.0761147 | + | 0.0673321i | |||||
− | 13.5539i | − | 0.477118i | |||||||
−2.24078 | − | 11.0106i | −0.0788303 | − | 0.387353i | |||||
19.3562 | 0.680527 | 0.340264 | − | 0.940330i | ||||||
0.340264 | + | 0.940330i | ||||||||
−1.26429 | + | 6.40532i | −0.0444227 | + | 0.225060i | |||||
−14.8791 | − | 14.8791i | −0.522475 | − | 0.522475i | 0.395843 | − | 0.918318i | ||
−0.918318 | + | 0.395843i | ||||||||
2.16769 | + | 5.18997i | 0.0760709 | + | 0.182132i | |||||
49.7047 | + | 49.7047i | 1.74322 | + | 1.74322i | |||||
−6.46666 | + | 4.33467i | −0.226656 | + | 0.151930i | |||||
6.19418i | 0.216973i | |||||||||
−47.7380 | + | 48.3039i | −1.67117 | + | 1.69097i | |||||
−16.9630 | + | 16.9630i | −0.593459 | + | 0.593459i | |||||
−9.10498 | − | 1.79715i | −0.318348 | − | 0.0628360i | |||||
8.09974 | − | 2.12027i | 0.283028 | − | 0.0740884i | |||||
−1.79390 | + | 4.36720i | −0.0626456 | + | 0.152509i | |||||
−26.3748 | + | 26.3748i | −0.920488 | + | 0.920488i | −0.997064 | − | 0.0765758i | ||
0.0765758 | + | 0.997064i | ||||||||
10.9466 | − | 55.4590i | 0.381806 | − | 1.93436i | |||||
−41.5439 | −1.44813 | −0.724065 | − | 0.689731i | ||||||
−0.724065 | + | 0.689731i | ||||||||
4.42788 | + | 21.7575i | 0.154252 | + | 0.757960i | |||||
36.1099 | + | 36.1099i | 1.25719 | + | 1.25719i | |||||
−2.26348 | + | 1.51724i | −0.0787567 | + | 0.0527915i | |||||
−3.33553 | + | 3.33553i | −0.115988 | + | 0.115988i | −0.762718 | − | 0.646731i | ||
0.646731 | + | 0.762718i | ||||||||
−5.66776 | + | 13.7980i | −0.196968 | + | 0.479514i | |||||
−50.8931 | −1.76759 | −0.883796 | − | 0.467873i | ||||||
−0.883796 | + | 0.467873i | ||||||||
−2.55142 | + | 1.71025i | −0.0885611 | + | 0.0593635i | |||||
−17.4352 | −0.604822 | |||||||||
−3.67731 | + | 28.6090i | −0.127488 | + | 0.991840i | |||||
7.35952 | 0.254992 | |||||||||
54.3143 | − | 36.4075i | 1.88075 | − | 1.26069i | |||||
6.05246 | 0.209454 | |||||||||
13.1797 | − | 32.0857i | 0.455830 | − | 1.10971i | |||||
−0.625644 | + | 0.625644i | −0.0216254 | + | 0.0216254i | |||||
−11.9467 | + | 8.00800i | −0.412692 | + | 0.276632i | |||||
22.3335 | + | 22.3335i | 0.771037 | + | 0.771037i | 0.978288 | − | 0.207251i | ||
−0.207251 | + | 0.978288i | ||||||||
−0.568128 | − | 2.79165i | −0.0196023 | − | 0.0963209i | |||||
21.0913 | 0.727288 | |||||||||
−4.40854 | + | 22.3351i | −0.151928 | + | 0.769719i | |||||
38.4001 | − | 38.4001i | 1.32257 | − | 1.32257i | |||||
1.25426 | − | 3.05346i | 0.0431734 | − | 0.105104i | |||||
5.46507 | + | 1.53221i | 0.188004 | + | 0.0527097i | |||||
−10.0117 | − | 1.97613i | −0.344210 | − | 0.0679406i | |||||
7.20147 | − | 7.20147i | 0.247445 | − | 0.247445i | |||||
−37.1358 | + | 37.5760i | −1.27525 | + | 1.29036i | |||||
− | 9.84823i | − | 0.337990i | |||||||
−41.5788 | + | 27.8707i | −1.42614 | + | 0.955959i | |||||
−2.71628 | − | 2.71628i | −0.0931130 | − | 0.0931130i | |||||
1.41111 | + | 3.37853i | 0.0483438 | + | 0.115747i | |||||
10.7946 | + | 10.7946i | 0.369600 | + | 0.369600i | 0.867331 | − | 0.497732i | ||
−0.497732 | + | 0.867331i | ||||||||
1.26907 | − | 6.42952i | 0.0434267 | − | 0.220014i | |||||
−3.82037 | −0.130654 | |||||||||
−3.57395 | − | 17.5616i | −0.122155 | − | 0.600242i | |||||
− | 24.6513i | − | 0.842073i | −0.907044 | − | 0.421036i | ||||
0.907044 | − | 0.421036i | ||||||||
40.5526 | + | 35.8734i | 1.38444 | + | 1.22470i | |||||
50.1054 | 1.70958 | 0.854788 | − | 0.518978i | ||||||
0.854788 | + | 0.518978i | ||||||||
−5.12961 | + | 2.14248i | −0.174918 | + | 0.0730579i | |||||
12.4735i | 0.425097i | |||||||||
3.89121 | − | 19.7141i | 0.132535 | − | 0.671466i | |||||
−1.51329 | + | 1.51329i | −0.0515128 | + | 0.0515128i | −0.732394 | − | 0.680881i | ||
0.680881 | + | 0.732394i | ||||||||
−8.68852 | − | 1.66183i | −0.295590 | − | 0.0565366i | |||||
−1.45620 | + | 1.45620i | −0.0495123 | + | 0.0495123i | |||||
12.0900 | + | 18.0364i | 0.410834 | + | 0.612901i | |||||
−85.7333 | −2.91166 | |||||||||
0.429969 | − | 1.04675i | 0.0145941 | − | 0.0355289i | |||||
−28.0502 | − | 28.0502i | −0.951538 | − | 0.951538i | |||||
3.93002 | + | 0.775713i | 0.133240 | + | 0.0262991i | |||||
39.7542 | − | 10.4065i | 1.34702 | − | 0.352610i | |||||
−44.8770 | − | 29.6998i | −1.51973 | − | 1.00576i | |||||
6.90607 | + | 6.90607i | 0.233735 | + | 0.233735i | |||||
16.7918 | + | 3.31439i | 0.567991 | + | 0.112111i | |||||
− | 4.28277i | − | 0.144784i | |||||||
2.73357 | + | 6.54483i | 0.0923588 | + | 0.221129i | |||||
−15.4722 | + | 15.4722i | −0.522459 | + | 0.522459i | −0.918313 | − | 0.395855i | ||
0.395855 | + | 0.918313i | ||||||||
4.46434 | − | 2.99250i | 0.150664 | − | 0.100992i | |||||
47.9565 | + | 47.9565i | 1.61753 | + | 1.61753i | |||||
5.65019 | − | 5.71716i | 0.190468 | − | 0.192726i | |||||
− | 15.9804i | − | 0.538393i | −0.963085 | − | 0.269196i | ||||
0.963085 | − | 0.269196i | ||||||||
−1.82853 | − | 2.72788i | −0.0615697 | − | 0.0918524i | |||||
− | 46.3824i | − | 1.56089i | −0.625222 | − | 0.780447i | ||||
0.625222 | − | 0.780447i | ||||||||
−42.1947 | + | 32.1879i | −1.41916 | + | 1.08260i | |||||
1.94076i | 0.0652379i | |||||||||
−5.64055 | + | 3.78092i | −0.189498 | + | 0.127023i | |||||
− | 38.8388i | − | 1.30408i | −0.758186 | − | 0.652039i | ||||
0.758186 | − | 0.652039i | ||||||||
−4.30705 | + | 6.50803i | −0.144535 | + | 0.218395i | |||||
12.4452 | + | 12.4452i | 0.417399 | + | 0.417399i | |||||
0.0652071 | + | 0.0972788i | 0.00218575 | + | 0.00326079i | |||||
−34.4140 | + | 34.4140i | −1.15291 | + | 1.15291i | |||||
−20.4552 | − | 48.9747i | −0.684892 | − | 1.63980i | |||||
11.7093i | 0.391837i | |||||||||
10.3977 | − | 52.6784i | 0.347753 | − | 1.76183i | |||||
0.0497432 | + | 0.0497432i | 0.00166273 | + | 0.00166273i | |||||
11.0730 | − | 2.32148i | 0.369922 | − | 0.0775554i | |||||
−13.4912 | + | 23.0590i | −0.450459 | + | 0.769918i | |||||
10.9647 | − | 55.5506i | 0.365895 | − | 1.85375i | |||||
1.12514 | + | 1.12514i | 0.0375254 | + | 0.0375254i | |||||
20.6611 | + | 8.48689i | 0.688704 | + | 0.282896i | |||||
−97.2010 | −3.23824 | |||||||||
−29.2339 | + | 19.5958i | −0.973384 | + | 0.652470i | |||||
−10.3852 | + | 10.3852i | −0.345599 | + | 0.345599i | |||||
1.94810 | + | 9.57252i | 0.0647930 | + | 0.318377i | |||||
5.79732 | − | 5.79732i | 0.192709 | − | 0.192709i | |||||
59.9962 | + | 11.8421i | 1.99324 | + | 0.393429i | |||||
47.0520i | 1.56234i | 0.624320 | + | 0.781168i | ||||||
−0.624320 | + | 0.781168i | ||||||||
40.2034 | − | 16.7917i | 1.33420 | − | 0.557253i | |||||
−9.22511 | −0.305978 | |||||||||
−0.136048 | − | 2.22207i | −0.00450993 | − | 0.0736609i | |||||
− | 3.60690i | − | 0.119502i | −0.998213 | − | 0.0597509i | ||||
0.998213 | − | 0.0597509i | ||||||||
−0.204868 | − | 34.7717i | −0.00678387 | − | 1.15141i | |||||
−22.8967 | −0.757771 | |||||||||
2.70504 | + | 0.533925i | 0.0894747 | + | 0.0176607i | |||||
−3.30047 | − | 3.30047i | −0.109110 | − | 0.109110i | |||||
−27.3226 | + | 11.4118i | −0.902765 | + | 0.377057i | |||||
−11.1858 | − | 11.1858i | −0.369388 | − | 0.369388i | |||||
−9.06217 | − | 13.5194i | −0.299096 | − | 0.446205i | |||||
− | 48.6029i | − | 1.60326i | −0.597819 | − | 0.801631i | ||||
0.597819 | − | 0.801631i | ||||||||
3.30752 | + | 2.18894i | 0.109046 | + | 0.0721672i | |||||
−31.6211 | + | 31.6211i | −1.04195 | + | 1.04195i | |||||
5.43377 | − | 27.5293i | 0.178952 | − | 0.906629i | |||||
0.724555 | + | 2.76790i | 0.0238490 | + | 0.0911066i | |||||
8.06901 | − | 19.6438i | 0.265451 | − | 0.646233i | |||||
−4.06736 | + | 4.06736i | −0.133734 | + | 0.133734i | |||||
34.0400 | + | 6.71888i | 1.11863 | + | 0.220796i | |||||
18.2292 | 0.598727 | |||||||||
−2.98858 | + | 15.6251i | −0.0981050 | + | 0.512921i | |||||
−3.49837 | − | 3.49837i | −0.114778 | − | 0.114778i | 0.647385 | − | 0.762163i | ||
−0.762163 | + | 0.647385i | ||||||||
−0.448752 | − | 0.669468i | −0.0147152 | − | 0.0219527i | |||||
−2.66450 | + | 2.66450i | −0.0873253 | + | 0.0873253i | |||||
−22.6908 | − | 9.32063i | −0.743263 | − | 0.305307i | |||||
26.6816 | 0.873515 | |||||||||
3.24053 | + | 4.83437i | 0.106033 | + | 0.158185i | |||||
14.7891 | 0.483655 | |||||||||
22.4143 | + | 7.64252i | 0.732636 | + | 0.249804i | |||||
−20.1024 | −0.656716 | −0.328358 | − | 0.944553i | ||||||
−0.328358 | + | 0.944553i | ||||||||
−8.97456 | − | 13.3886i | −0.293030 | − | 0.437155i | |||||
57.2467 | 1.86818 | |||||||||
−1.03099 | + | 2.50991i | −0.0336270 | + | 0.0818641i | |||||
−22.5373 | + | 22.5373i | −0.734694 | + | 0.734694i | −0.971546 | − | 0.236852i | ||
0.236852 | + | 0.971546i | ||||||||
−38.1890 | − | 56.9721i | −1.24427 | − | 1.85625i | |||||
−12.2796 | − | 12.2796i | −0.399877 | − | 0.399877i | |||||
−7.70720 | + | 0.0454094i | −0.250848 | + | 0.00147795i | |||||
0.682742 | 0.0222096 | |||||||||
−40.6547 | − | 8.02449i | −1.32180 | − | 0.260899i | |||||
5.29700 | − | 5.29700i | 0.172129 | − | 0.172129i | −0.615785 | − | 0.787914i | ||
0.787914 | + | 0.615785i | ||||||||
−36.7841 | − | 15.1097i | −1.19469 | − | 0.490739i | |||||
1.40359 | + | 5.36193i | 0.0455626 | + | 0.174055i | |||||
4.96297 | − | 25.1440i | 0.161020 | − | 0.815780i | |||||
3.84448 | − | 3.84448i | 0.124666 | − | 0.124666i | |||||
17.3587 | + | 11.4881i | 0.562599 | + | 0.372331i | |||||
47.5513i | 1.54034i | 0.637839 | + | 0.770170i | ||||||
−0.637839 | + | 0.770170i | ||||||||
24.1503 | + | 36.0285i | 0.781895 | + | 1.16647i | |||||
−2.38132 | − | 2.38132i | −0.0770578 | − | 0.0770578i | |||||
3.24330 | + | 7.76525i | 0.104896 | + | 0.251146i | |||||
21.1149 | + | 21.1149i | 0.682547 | + | 0.682547i | |||||
−2.36638 | − | 0.467080i | −0.0764543 | − | 0.0150907i | |||||
−17.3266 | −0.559504 | |||||||||
3.01768 | − | 7.47141i | 0.0973953 | − | 0.241139i | |||||
30.6799i | 0.989673i | |||||||||
−4.04072 | + | 4.56778i | −0.130278 | + | 0.147271i | |||||
−14.7137 | −0.474142 | |||||||||
13.3303 | + | 31.9158i | 0.429339 | + | 1.02794i | |||||
− | 1.62801i | − | 0.0524074i | |||||||
10.2804 | + | 2.02917i | 0.330767 | + | 0.0652874i | |||||
20.3534 | − | 20.3534i | 0.654521 | − | 0.654521i | −0.299557 | − | 0.954078i | ||
0.954078 | + | 0.299557i | ||||||||
28.2273 | − | 5.74453i | 0.907258 | − | 0.184636i | |||||
45.2385 | − | 45.2385i | 1.45327 | − | 1.45327i | |||||
2.15711 | − | 1.44593i | 0.0692605 | − | 0.0464261i | |||||
−22.5065 | −0.722269 | −0.361135 | − | 0.932514i | ||||||
−0.361135 | + | 0.932514i | ||||||||
−14.9726 | + | 36.4503i | −0.480246 | + | 1.16915i | |||||
−14.1717 | − | 14.1717i | −0.454324 | − | 0.454324i | |||||
−2.41177 | + | 12.2188i | −0.0772780 | + | 0.391516i | |||||
34.5285 | + | 20.2017i | 1.10580 | + | 0.646974i | |||||
13.0297 | − | 13.1841i | 0.417070 | − | 0.422014i | |||||
7.84442 | + | 7.84442i | 0.250965 | + | 0.250965i | 0.821366 | − | 0.570401i | ||
−0.570401 | + | 0.821366i | ||||||||
−8.96327 | + | 45.4109i | −0.286614 | + | 1.45208i | |||||
0.872991i | 0.0279009i | |||||||||
−0.805744 | + | 0.336534i | −0.0257385 | + | 0.0107502i | |||||
−31.2416 | + | 31.2416i | −0.997466 | + | 0.997466i | |||||
−5.42173 | − | 8.08838i | −0.173014 | − | 0.258111i | |||||
−28.9316 | − | 28.9316i | −0.922773 | − | 0.922773i | 0.0744513 | − | 0.997225i | ||
−0.997225 | + | 0.0744513i | ||||||||
−19.4710 | + | 29.4210i | −0.620712 | + | 0.937907i | |||||
− | 9.42873i | − | 0.300424i | |||||||
−24.3128 | + | 16.2971i | −0.774276 | + | 0.519006i | |||||
7.16877i | 0.228184i | |||||||||
3.62290 | − | 26.9300i | 0.115260 | − | 0.856758i | |||||
− | 20.4474i | − | 0.650191i | |||||||
−3.67446 | − | 5.48172i | −0.116782 | − | 0.174220i | |||||
− | 25.5515i | − | 0.811672i | −0.913946 | − | 0.405836i | ||||
0.913946 | − | 0.405836i | ||||||||
2.64811 | − | 1.79776i | 0.0840776 | − | 0.0570790i | |||||
−12.5958 | − | 12.5958i | −0.399717 | − | 0.399717i | |||||
0.932189 | − | 0.624857i | 0.0295673 | − | 0.0198193i | |||||
−4.29595 | + | 4.29595i | −0.136191 | + | 0.136191i | |||||
−21.1798 | + | 8.84615i | −0.671108 | + | 0.280301i | |||||
18.0376i | 0.571256i | 0.958341 | + | 0.285628i | ||||||
−0.958341 | + | 0.285628i | ||||||||
19.7324 | + | 3.89480i | 0.624617 | + | 0.123288i | |||||
−1.32250 | − | 1.32250i | −0.0418421 | − | 0.0418421i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 728.2.z.a.99.18 | ✓ | 168 | |
8.3 | odd | 2 | inner | 728.2.z.a.99.59 | yes | 168 | |
13.5 | odd | 4 | inner | 728.2.z.a.603.59 | yes | 168 | |
104.83 | even | 4 | inner | 728.2.z.a.603.18 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
728.2.z.a.99.18 | ✓ | 168 | 1.1 | even | 1 | trivial | |
728.2.z.a.99.59 | yes | 168 | 8.3 | odd | 2 | inner | |
728.2.z.a.603.18 | yes | 168 | 104.83 | even | 4 | inner | |
728.2.z.a.603.59 | yes | 168 | 13.5 | odd | 4 | inner |