Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [368,2,Mod(93,368)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(368, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("368.93");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 368.j (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 12.0.221124989353984.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 277.4 | ||
Root | of defining polynomial | ||
Character | 368.277 | ||
Dual form | 368.2.j.c.93.4 |
-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 .
0.586784 | + | 1.28673i | 0.414919 | + | 0.909859i | |||||
−0.955624 | + | 0.955624i | −0.551730 | + | 0.551730i | −0.926940 | − | 0.375210i | ||
0.375210 | + | 0.926940i | ||||||||
−1.31137 | + | 1.51007i | −0.655685 | + | 0.755035i | |||||
2.38359 | + | 2.38359i | 1.06597 | + | 1.06597i | 0.997664 | + | 0.0683082i | ||
0.0683082 | + | 0.997664i | ||||||||
−1.79038 | − | 0.668889i | −0.730919 | − | 0.273073i | |||||
− | 0.198699i | − | 0.0751012i | −0.999295 | − | 0.0375506i | ||||
0.999295 | − | 0.0375506i | ||||||||
−2.71255 | − | 0.801301i | −0.959031 | − | 0.283303i | |||||
1.17357i | 0.391189i | |||||||||
−1.66839 | + | 4.46569i | −0.527592 | + | 1.41218i | |||||
−0.110168 | − | 0.110168i | −0.0332168 | − | 0.0332168i | 0.690303 | − | 0.723520i | ||
−0.723520 | + | 0.690303i | ||||||||
−0.189882 | − | 2.69623i | −0.0548141 | − | 0.778336i | |||||
1.69353 | − | 1.69353i | 0.469699 | − | 0.469699i | −0.432118 | − | 0.901817i | ||
0.901817 | + | 0.432118i | ||||||||
0.255673 | − | 0.116593i | 0.0683315 | − | 0.0311609i | |||||
−4.55562 | −1.17626 | |||||||||
−0.560617 | − | 3.96052i | −0.140154 | − | 0.990130i | |||||
−0.645369 | −0.156525 | −0.0782625 | − | 0.996933i | ||||||
−0.0782625 | + | 0.996933i | ||||||||
−1.51007 | + | 0.688630i | −0.355927 | + | 0.162312i | |||||
0.173567 | − | 0.173567i | 0.0398190 | − | 0.0398190i | −0.686917 | − | 0.726736i | ||
0.726736 | + | 0.686917i | ||||||||
−6.72515 | + | 0.473617i | −1.50379 | + | 0.105904i | |||||
0.189882 | + | 0.189882i | 0.0414355 | + | 0.0414355i | |||||
0.0771120 | − | 0.206401i | 0.0164403 | − | 0.0440049i | |||||
1.00000i | 0.208514i | |||||||||
3.35792 | − | 1.82643i | 0.685432 | − | 0.372819i | |||||
6.36297i | 1.27259i | |||||||||
3.17285 | + | 1.18538i | 0.622247 | + | 0.232473i | |||||
−3.98836 | − | 3.98836i | −0.767560 | − | 0.767560i | |||||
0.300049 | + | 0.260568i | 0.0567040 | + | 0.0492427i | |||||
2.98858 | − | 2.98858i | 0.554966 | − | 0.554966i | −0.372904 | − | 0.927870i | ||
0.927870 | + | 0.372904i | ||||||||
−2.67317 | − | 5.86188i | −0.488051 | − | 1.07023i | |||||
−4.74204 | −0.851696 | −0.425848 | − | 0.904795i | ||||||
−0.425848 | + | 0.904795i | ||||||||
4.76717 | − | 3.04533i | 0.842725 | − | 0.538344i | |||||
0.210558 | 0.0366534 | |||||||||
−0.378692 | − | 0.830418i | −0.0649451 | − | 0.142416i | |||||
0.473617 | − | 0.473617i | 0.0800558 | − | 0.0800558i | |||||
−1.77217 | − | 1.53898i | −0.295361 | − | 0.256497i | |||||
−1.53702 | − | 1.53702i | −0.252684 | − | 0.252684i | 0.569386 | − | 0.822070i | ||
−0.822070 | + | 0.569386i | ||||||||
0.325181 | + | 0.121488i | 0.0527514 | + | 0.0197080i | |||||
3.23674i | 0.518294i | |||||||||
−4.55562 | − | 8.37556i | −0.720307 | − | 1.32429i | |||||
9.42339i | 1.47169i | 0.677152 | + | 0.735843i | ||||||
−0.677152 | + | 0.735843i | ||||||||
−0.132908 | + | 0.355746i | −0.0205081 | + | 0.0548929i | |||||
−2.46931 | − | 2.46931i | −0.376566 | − | 0.376566i | 0.493295 | − | 0.869862i | ||
−0.869862 | + | 0.493295i | ||||||||
0.310832 | − | 0.0218902i | 0.0468597 | − | 0.00330008i | |||||
−2.79730 | + | 2.79730i | −0.416997 | + | 0.416997i | |||||
−1.28673 | + | 0.586784i | −0.189719 | + | 0.0865165i | |||||
10.2297 | 1.49216 | 0.746081 | − | 0.665855i | ||||||
0.746081 | + | 0.665855i | ||||||||
4.32050 | + | 3.24903i | 0.623611 | + | 0.468956i | |||||
6.96052 | 0.994360 | |||||||||
−8.18746 | + | 3.73369i | −1.15788 | + | 0.528023i | |||||
0.616730 | − | 0.616730i | 0.0863594 | − | 0.0863594i | |||||
0.336502 | + | 4.77818i | 0.0466644 | + | 0.662614i | |||||
6.13987 | + | 6.13987i | 0.843377 | + | 0.843377i | 0.989296 | − | 0.145920i | ||
−0.145920 | + | 0.989296i | ||||||||
2.79165 | − | 7.47226i | 0.379896 | − | 1.01685i | |||||
− | 0.525189i | − | 0.0708165i | |||||||
−0.159218 | + | 0.538981i | −0.0212764 | + | 0.0720243i | |||||
0.331730i | 0.0439387i | |||||||||
5.59916 | + | 2.09186i | 0.735206 | + | 0.274675i | |||||
3.18941 | + | 3.18941i | 0.415225 | + | 0.415225i | 0.883554 | − | 0.468329i | ||
−0.468329 | + | 0.883554i | ||||||||
5.97411 | − | 6.87931i | 0.771254 | − | 0.888115i | |||||
0.134023 | − | 0.134023i | 0.0171599 | − | 0.0171599i | −0.698475 | − | 0.715635i | ||
0.715635 | + | 0.698475i | ||||||||
−2.78255 | − | 6.10175i | −0.353385 | − | 0.774923i | |||||
0.233187 | 0.0293788 | |||||||||
6.71583 | + | 4.34713i | 0.839479 | + | 0.543392i | |||||
8.07333 | 1.00137 | |||||||||
0.123552 | + | 0.270932i | 0.0152082 | + | 0.0333494i | |||||
8.34921 | − | 8.34921i | 1.02002 | − | 1.02002i | 0.0202224 | − | 0.999796i | ||
0.999796 | − | 0.0202224i | ||||||||
0.846317 | − | 0.974552i | 0.102631 | − | 0.118182i | |||||
−0.955624 | − | 0.955624i | −0.115044 | − | 0.115044i | |||||
0.887329 | + | 0.331508i | 0.106056 | + | 0.0396228i | |||||
4.76823i | 0.565885i | 0.959137 | + | 0.282942i | ||||||
−0.959137 | + | 0.282942i | ||||||||
0.940380 | − | 3.18336i | 0.110825 | − | 0.375162i | |||||
5.99750i | 0.701954i | 0.936384 | + | 0.350977i | ||||||
−0.936384 | + | 0.350977i | ||||||||
1.07584 | − | 2.87963i | 0.125063 | − | 0.334750i | |||||
−6.08061 | − | 6.08061i | −0.702128 | − | 0.702128i | |||||
0.0344876 | + | 0.489709i | 0.00395600 | + | 0.0561735i | |||||
−0.0218902 | + | 0.0218902i | −0.00249463 | + | 0.00249463i | |||||
−4.16483 | + | 1.89927i | −0.471574 | + | 0.215050i | |||||
−0.630585 | −0.0709463 | −0.0354732 | − | 0.999371i | ||||||
−0.0354732 | + | 0.999371i | ||||||||
8.10396 | − | 10.7765i | 0.906050 | − | 1.20485i | |||||
4.10204 | 0.455782 | |||||||||
−12.1254 | + | 5.52949i | −1.33903 | + | 0.610630i | |||||
0.711208 | − | 0.711208i | 0.0780653 | − | 0.0780653i | −0.666996 | − | 0.745061i | ||
0.745061 | + | 0.666996i | ||||||||
−0.535739 | + | 0.0377293i | −0.0584539 | + | 0.00411660i | |||||
−1.53829 | − | 1.53829i | −0.166851 | − | 0.166851i | |||||
1.72840 | − | 4.62630i | 0.186378 | − | 0.498867i | |||||
5.71192i | 0.612382i | |||||||||
0.210558 | + | 0.387113i | 0.0224456 | + | 0.0412664i | |||||
− | 13.8549i | − | 1.46862i | −0.678815 | − | 0.734310i | ||||
0.678815 | − | 0.734310i | ||||||||
−5.24079 | − | 1.95797i | −0.552428 | − | 0.206388i | |||||
−0.336502 | − | 0.336502i | −0.0352750 | − | 0.0352750i | |||||
−1.51007 | − | 1.31137i | −0.157436 | − | 0.136720i | |||||
4.53161 | − | 4.53161i | 0.469906 | − | 0.469906i | |||||
6.00265 | + | 13.1630i | 0.619126 | + | 1.35766i | |||||
0.827425 | 0.0848920 | |||||||||
−1.64543 | + | 7.46582i | −0.167936 | + | 0.761977i | |||||
7.33230 | 0.744482 | 0.372241 | − | 0.928136i | ||||||
0.372241 | + | 0.928136i | ||||||||
4.08432 | + | 8.95634i | 0.412578 | + | 0.904727i | |||||
0.129289 | − | 0.129289i | 0.0129941 | − | 0.0129941i | |||||
−9.60853 | − | 8.34421i | −0.960853 | − | 0.834421i | |||||
−9.48832 | − | 9.48832i | −0.944123 | − | 0.944123i | 0.0543965 | − | 0.998519i | ||
−0.998519 | + | 0.0543965i | ||||||||
1.15545 | + | 0.431680i | 0.114407 | + | 0.0427427i | |||||
17.8894i | 1.76270i | 0.472467 | + | 0.881348i | ||||||
−0.472467 | + | 0.881348i | ||||||||
−5.95079 | + | 3.23674i | −0.583523 | + | 0.317389i | |||||
0.905198i | 0.0883383i | |||||||||
−4.29761 | + | 11.5032i | −0.417421 | + | 1.11729i | |||||
−0.476373 | − | 0.476373i | −0.0460527 | − | 0.0460527i | 0.683705 | − | 0.729758i | ||
−0.729758 | + | 0.683705i | ||||||||
11.2529 | − | 0.792483i | 1.08281 | − | 0.0762567i | |||||
−13.5122 | + | 13.5122i | −1.29423 | + | 1.29423i | −0.362092 | + | 0.932142i | ||
−0.932142 | + | 0.362092i | ||||||||
0.675779 | − | 0.308172i | 0.0644330 | − | 0.0293831i | |||||
2.93762 | 0.278826 | |||||||||
−0.786951 | + | 0.111394i | −0.0743599 | + | 0.0105258i | |||||
0.977296 | 0.0919363 | 0.0459681 | − | 0.998943i | ||||||
0.0459681 | + | 0.998943i | ||||||||
−0.426848 | + | 0.194654i | −0.0399780 | + | 0.0182310i | |||||
−2.38359 | + | 2.38359i | −0.222271 | + | 0.222271i | |||||
0.593828 | + | 8.43210i | 0.0551356 | + | 0.782901i | |||||
1.98747 | + | 1.98747i | 0.183741 | + | 0.183741i | |||||
−2.23243 | + | 5.97541i | −0.205512 | + | 0.550081i | |||||
0.128234i | 0.0117552i | |||||||||
12.3573 | + | 3.65043i | 1.12807 | + | 0.333237i | |||||
− | 10.9757i | − | 0.997793i | |||||||
0.251094 | + | 0.0938095i | 0.0227330 | + | 0.00849311i | |||||
−9.00521 | − | 9.00521i | −0.811973 | − | 0.811973i | |||||
6.21857 | − | 7.16081i | 0.558444 | − | 0.643060i | |||||
−3.24877 | + | 3.24877i | −0.290578 | + | 0.290578i | |||||
0.136830 | + | 0.300049i | 0.0121898 | + | 0.0267305i | |||||
−15.5758 | −1.38212 | −0.691062 | − | 0.722795i | ||||||
−0.691062 | + | 0.722795i | ||||||||
−1.65287 | + | 11.1923i | −0.146094 | + | 0.989271i | |||||
4.71946 | 0.415526 | |||||||||
4.73730 | + | 10.3882i | 0.415488 | + | 0.911108i | |||||
5.80329 | − | 5.80329i | 0.507036 | − | 0.507036i | −0.406579 | − | 0.913615i | ||
0.913615 | + | 0.406579i | ||||||||
−0.276119 | + | 0.317957i | −0.0240331 | + | 0.0276746i | |||||
−0.0344876 | − | 0.0344876i | −0.00299046 | − | 0.00299046i | |||||
15.6424 | + | 5.84403i | 1.35130 | + | 0.504847i | |||||
− | 19.0132i | − | 1.63640i | |||||||
1.75059 | + | 0.517135i | 0.150112 | + | 0.0443439i | |||||
− | 21.8496i | − | 1.86674i | −0.358915 | − | 0.933370i | ||||
0.358915 | − | 0.933370i | ||||||||
0.668889 | − | 1.79038i | 0.0569396 | − | 0.152407i | |||||
−11.8543 | − | 11.8543i | −1.00547 | − | 1.00547i | −0.999985 | − | 0.00548673i | ||
−0.00548673 | − | 0.999985i | ||||||||
0.0941072 | + | 1.33628i | 0.00795351 | + | 0.112936i | |||||
−9.77579 | + | 9.77579i | −0.823270 | + | 0.823270i | |||||
−6.13544 | + | 2.79792i | −0.514875 | + | 0.234796i | |||||
−0.373144 | −0.0312039 | |||||||||
4.64793 | − | 0.657922i | 0.387328 | − | 0.0548268i | |||||
14.2471 | 1.18316 | |||||||||
−7.71718 | + | 3.51923i | −0.638679 | + | 0.291254i | |||||
−6.65164 | + | 6.65164i | −0.548618 | + | 0.548618i | |||||
4.33660 | − | 0.305404i | 0.356466 | − | 0.0251040i | |||||
−8.38711 | − | 8.38711i | −0.687099 | − | 0.687099i | 0.274491 | − | 0.961590i | ||
−0.961590 | + | 0.274491i | ||||||||
4.25613 | − | 11.3921i | 0.347511 | − | 0.930163i | |||||
15.0923i | 1.22819i | 0.789230 | + | 0.614097i | ||||||
−0.789230 | + | 0.614097i | ||||||||
−0.609889 | + | 0.331730i | −0.0494685 | + | 0.0269068i | |||||
− | 0.757384i | − | 0.0612308i | |||||||
−0.0410118 | − | 0.0153221i | −0.00330482 | − | 0.00123469i | |||||
−11.3031 | − | 11.3031i | −0.907884 | − | 0.907884i | |||||
−4.88771 | − | 4.24457i | −0.391330 | − | 0.339838i | |||||
11.9073 | − | 11.9073i | 0.950307 | − | 0.950307i | −0.0485157 | − | 0.998822i | ||
0.998822 | + | 0.0485157i | ||||||||
−0.370017 | − | 0.811395i | −0.0294370 | − | 0.0645511i | |||||
−11.7348 | −0.930632 | |||||||||
18.6218 | + | 4.10416i | 1.47218 | + | 0.324462i | |||||
0.198699 | 0.0156597 | |||||||||
2.40701 | + | 5.27823i | 0.189112 | + | 0.414697i | |||||
4.28797 | − | 4.28797i | 0.335860 | − | 0.335860i | −0.518947 | − | 0.854807i | ||
0.854807 | + | 0.518947i | ||||||||
−14.2300 | − | 12.3575i | −1.11117 | − | 0.964962i | |||||
0.501883 | + | 0.501883i | 0.0390716 | + | 0.0390716i | |||||
1.33246 | + | 0.497811i | 0.103419 | + | 0.0386376i | |||||
− | 6.68260i | − | 0.517115i | −0.965996 | − | 0.258557i | ||||
0.965996 | − | 0.258557i | ||||||||
−0.362911 | − | 0.667215i | −0.0279992 | − | 0.0514768i | |||||
7.26395i | 0.558765i | |||||||||
1.07673 | − | 2.88202i | 0.0825813 | − | 0.221041i | |||||
0.203693 | + | 0.203693i | 0.0155768 | + | 0.0155768i | |||||
6.96701 | − | 0.490650i | 0.531230 | − | 0.0374117i | |||||
−3.18817 | + | 3.18817i | −0.242392 | + | 0.242392i | −0.817839 | − | 0.575447i | ||
0.575447 | + | 0.817839i | ||||||||
−7.34972 | + | 3.35166i | −0.557181 | + | 0.254089i | |||||
1.26432 | 0.0955734 | |||||||||
−0.374560 | + | 0.498084i | −0.0282335 | + | 0.0375445i | |||||
−6.09574 | −0.458184 | |||||||||
17.8276 | − | 8.12984i | 1.33624 | − | 0.609358i | |||||
−4.02322 | + | 4.02322i | −0.300709 | + | 0.300709i | −0.841291 | − | 0.540582i | ||
0.540582 | + | 0.841291i | ||||||||
−0.555821 | − | 7.89241i | −0.0414284 | − | 0.588266i | |||||
−7.39749 | − | 7.39749i | −0.549851 | − | 0.549851i | 0.376546 | − | 0.926398i | ||
−0.926398 | + | 0.376546i | ||||||||
0.235535 | − | 0.630442i | 0.0174590 | − | 0.0467315i | |||||
0.256151i | 0.0189352i | |||||||||
0.801301 | − | 2.71255i | 0.0590727 | − | 0.199972i | |||||
− | 7.32722i | − | 0.538708i | |||||||
8.49005 | + | 3.17190i | 0.622520 | + | 0.232575i | |||||
0.0710989 | + | 0.0710989i | 0.00519926 | + | 0.00519926i | |||||
−13.4150 | + | 15.4476i | −0.978388 | + | 1.12663i | |||||
−0.792483 | + | 0.792483i | −0.0576447 | + | 0.0576447i | |||||
0.485519 | + | 1.06468i | 0.0352233 | + | 0.0772397i | |||||
22.3903 | 1.62011 | 0.810054 | − | 0.586356i | ||||||
0.810054 | + | 0.586356i | ||||||||
−10.5720 | + | 2.26358i | −0.762971 | + | 0.163360i | |||||
18.2552 | 1.31404 | 0.657018 | − | 0.753875i | ||||||
0.657018 | + | 0.753875i | ||||||||
4.30247 | + | 9.43472i | 0.308900 | + | 0.677374i | |||||
−7.71506 | + | 7.71506i | −0.552487 | + | 0.552487i | |||||
−9.12782 | + | 10.5109i | −0.651987 | + | 0.750776i | |||||
−8.05327 | − | 8.05327i | −0.573772 | − | 0.573772i | 0.359409 | − | 0.933180i | ||
−0.933180 | + | 0.359409i | ||||||||
0.242226 | + | 0.0904962i | 0.0172142 | + | 0.00643128i | |||||
17.8585i | 1.26595i | 0.774170 | + | 0.632977i | ||||||
−0.774170 | + | 0.632977i | ||||||||
5.09866 | − | 17.2599i | 0.360529 | − | 1.22046i | |||||
15.9574i | 1.12555i | |||||||||
6.64135 | − | 17.7765i | 0.467284 | − | 1.25075i | |||||
−0.593828 | − | 0.593828i | −0.0416786 | − | 0.0416786i | |||||
0.122544 | + | 1.74007i | 0.00857977 | + | 0.121829i | |||||
−22.4615 | + | 22.4615i | −1.56878 | + | 1.56878i | |||||
−23.0189 | + | 10.4972i | −1.60380 | + | 0.731376i | |||||
−1.17357 | −0.0815686 | |||||||||
−7.65666 | − | 5.75782i | −0.530894 | − | 0.399233i | |||||
−0.0382430 | −0.00264533 | |||||||||
−1.16475 | + | 0.531156i | −0.0803754 | + | 0.0366532i | |||||
2.27372 | − | 2.27372i | 0.156530 | − | 0.156530i | −0.624497 | − | 0.781027i | ||
0.781027 | + | 0.624497i | ||||||||
−17.3233 | + | 1.21999i | −1.18977 | + | 0.0837891i | |||||
−4.55663 | − | 4.55663i | −0.312215 | − | 0.312215i | |||||
0.333438 | − | 0.892494i | 0.0227933 | − | 0.0610096i | |||||
− | 11.7716i | − | 0.802819i | |||||||
7.62274 | + | 14.0145i | 0.518662 | + | 0.953565i | |||||
0.942239i | 0.0639634i | |||||||||
−25.3154 | − | 9.45788i | −1.71457 | − | 0.640568i | |||||
−5.73135 | − | 5.73135i | −0.387289 | − | 0.387289i | |||||
0.793072 | + | 0.688717i | 0.0534689 | + | 0.0464333i | |||||
−1.09295 | + | 1.09295i | −0.0735197 | + | 0.0735197i | |||||
1.72375 | + | 3.77993i | 0.115690 | + | 0.253692i | |||||
−3.29492 | −0.220644 | −0.110322 | − | 0.993896i | ||||||
−0.110322 | + | 0.993896i | ||||||||
−0.605105 | − | 0.947233i | −0.0404303 | − | 0.0632897i | |||||
−7.46738 | −0.497825 | |||||||||
0.573461 | + | 1.25752i | 0.0381461 | + | 0.0836490i | |||||
18.7245 | − | 18.7245i | 1.24279 | − | 1.24279i | 0.283953 | − | 0.958838i | ||
0.958838 | − | 0.283953i | ||||||||
−0.500935 | − | 0.435021i | −0.0331752 | − | 0.0288099i | |||||
−9.90184 | − | 9.90184i | −0.654332 | − | 0.654332i | 0.299701 | − | 0.954033i | ||
−0.954033 | + | 0.299701i | ||||||||
−4.46569 | − | 1.66839i | −0.294459 | − | 0.110011i | |||||
− | 0.0418377i | − | 0.00275272i | |||||||
−10.5014 | + | 5.71192i | −0.689452 | + | 0.375006i | |||||
− | 16.7592i | − | 1.09793i | −0.835846 | − | 0.548964i | ||||
0.835846 | − | 0.548964i | ||||||||
−1.39113 | + | 3.72355i | −0.0909409 | + | 0.243416i | |||||
24.3835 | + | 24.3835i | 1.59060 | + | 1.59060i | |||||
−8.99872 | + | 0.633732i | −0.585766 | + | 0.0412524i | |||||
0.602602 | − | 0.602602i | 0.0391432 | − | 0.0391432i | |||||
−0.165003 | + | 0.0752457i | −0.0106956 | + | 0.00487746i | |||||
−16.9820 | −1.09847 | −0.549237 | − | 0.835667i | ||||||
−0.549237 | + | 0.835667i | ||||||||
2.55396 | + | 18.0426i | 0.164858 | + | 1.16465i | |||||
−23.6419 | −1.52291 | −0.761455 | − | 0.648218i | ||||||
−0.761455 | + | 0.648218i | ||||||||
14.1228 | − | 6.44038i | 0.907851 | − | 0.414003i | |||||
8.04507 | − | 8.04507i | 0.516092 | − | 0.516092i | |||||
0.0266302 | + | 0.378138i | 0.00170483 | + | 0.0242078i | |||||
16.5910 | + | 16.5910i | 1.05996 | + | 1.05996i | |||||
6.30320 | − | 16.8714i | 0.401878 | − | 1.07568i | |||||
− | 0.587881i | − | 0.0374060i | |||||||
12.8630 | + | 3.79980i | 0.816802 | + | 0.241288i | |||||
1.35929i | 0.0861418i | |||||||||
−6.08662 | − | 2.27398i | −0.384952 | − | 0.143819i | |||||
10.3035 | + | 10.3035i | 0.650352 | + | 0.650352i | 0.953078 | − | 0.302726i | ||
−0.302726 | + | 0.953078i | ||||||||
−0.305794 | + | 0.352128i | −0.0192632 | + | 0.0221820i | |||||
0.110168 | − | 0.110168i | 0.00692619 | − | 0.00692619i | |||||
−9.13960 | − | 20.0419i | −0.573469 | − | 1.25754i | |||||
2.94006 | 0.184114 | |||||||||
−15.3714 | + | 4.44067i | −0.960714 | + | 0.277542i | |||||
0.589308 | 0.0367600 | 0.0183800 | − | 0.999831i | ||||||
0.0183800 | + | 0.999831i | ||||||||
2.76930 | + | 6.07270i | 0.172409 | + | 0.378070i | |||||
−0.305404 | + | 0.305404i | −0.0189769 | + | 0.0189769i | |||||
−10.5871 | + | 12.1913i | −0.656585 | + | 0.756071i | |||||
3.50730 | + | 3.50730i | 0.217096 | + | 0.217096i | |||||
10.8726 | + | 4.06202i | 0.671710 | + | 0.250952i | |||||
5.79720i | 0.357471i | 0.983897 | + | 0.178735i | ||||||
−0.983897 | + | 0.178735i | ||||||||
−0.571149 | − | 0.168720i | −0.0351518 | − | 0.0103840i | |||||
29.2699i | 1.79803i | |||||||||
0.0241396 | − | 0.0646132i | 0.00148010 | − | 0.00396169i | |||||
13.2401 | + | 13.2401i | 0.810281 | + | 0.810281i | |||||
1.65898 | + | 23.5568i | 0.101338 | + | 1.43896i | |||||
5.32110 | − | 5.32110i | 0.324433 | − | 0.324433i | −0.526032 | − | 0.850465i | ||
0.850465 | + | 0.526032i | ||||||||
24.4649 | − | 11.1566i | 1.48889 | − | 0.678971i | |||||
−17.3009 | −1.05096 | −0.525479 | − | 0.850807i | ||||||
−0.525479 | + | 0.850807i | ||||||||
0.361805 | + | 2.55600i | 0.0219376 | + | 0.154980i | |||||
0.643138 | 0.0389245 | |||||||||
28.1147 | − | 12.8210i | 1.69847 | − | 0.774545i | |||||
0.700995 | − | 0.700995i | 0.0422716 | − | 0.0422716i | |||||
2.69623 | − | 0.189882i | 0.162294 | − | 0.0114295i | |||||
−7.24556 | − | 7.24556i | −0.435343 | − | 0.435343i | 0.455098 | − | 0.890441i | ||
−0.890441 | + | 0.455098i | ||||||||
8.29745 | − | 22.2093i | 0.497648 | − | 1.33203i | |||||
− | 5.56510i | − | 0.333174i | |||||||
−1.66422 | + | 0.905198i | −0.0994560 | + | 0.0540959i | |||||
4.03701i | 0.240828i | 0.992724 | + | 0.120414i | ||||||
−0.992724 | + | 0.120414i | ||||||||
−18.3151 | − | 6.84257i | −1.09065 | − | 0.407469i | |||||
10.6603 | + | 10.6603i | 0.633689 | + | 0.633689i | 0.948991 | − | 0.315303i | ||
−0.315303 | + | 0.948991i | ||||||||
−7.20036 | − | 6.25291i | −0.427262 | − | 0.371042i | |||||
−0.790707 | + | 0.790707i | −0.0468374 | + | 0.0468374i | |||||
−0.218955 | − | 0.480137i | −0.0129471 | − | 0.0283911i | |||||
1.87242 | 0.110525 | |||||||||
3.57390 | + | 5.59460i | 0.210594 | + | 0.329665i | |||||
−16.5835 | −0.975500 | |||||||||
8.35996 | + | 18.3322i | 0.490913 | + | 1.07650i | |||||
−7.00692 | + | 7.00692i | −0.410753 | + | 0.410753i | |||||
−9.05663 | − | 7.86494i | −0.529999 | − | 0.460261i | |||||
9.87783 | + | 9.87783i | 0.577069 | + | 0.577069i | 0.934095 | − | 0.357026i | ||
−0.357026 | + | 0.934095i | ||||||||
−12.4620 | − | 4.65582i | −0.726796 | − | 0.271533i | |||||
15.2045i | 0.885238i | |||||||||
2.93762 | + | 5.40084i | 0.170746 | + | 0.313918i | |||||
0.878778i | 0.0509919i | |||||||||
5.87057 | − | 15.7134i | 0.340073 | − | 0.910253i | |||||
1.69353 | + | 1.69353i | 0.0979391 | + | 0.0979391i | |||||
17.1561 | − | 1.20821i | 0.990506 | − | 0.0697561i | |||||
−0.490650 | + | 0.490650i | −0.0282806 | + | 0.0282806i | |||||
−19.4198 | + | 8.85592i | −1.11748 | + | 0.509601i | |||||
18.1345 | 1.04180 | |||||||||
−0.784721 | − | 0.590111i | −0.0450068 | − | 0.0338452i | |||||
0.638911 | 0.0365839 | |||||||||
0.974552 | − | 0.444420i | 0.0557114 | − | 0.0254058i | |||||
13.7274 | − | 13.7274i | 0.783464 | − | 0.783464i | −0.196950 | − | 0.980414i | ||
0.980414 | + | 0.196950i | ||||||||
−0.00434957 | − | 0.0617620i | −0.000247840 | − | 0.00351922i | |||||
−17.0955 | − | 17.0955i | −0.972532 | − | 0.972532i | |||||
7.91159 | − | 21.1765i | 0.449348 | − | 1.20274i | |||||
− | 27.0977i | − | 1.53657i | −0.640110 | − | 0.768284i | ||||
0.640110 | − | 0.768284i | ||||||||
2.59361 | − | 8.77983i | 0.146834 | − | 0.497060i | |||||
− | 8.78013i | − | 0.496282i | −0.968724 | − | 0.248141i | ||||
0.968724 | − | 0.248141i | ||||||||
22.3086 | + | 8.33453i | 1.25894 | + | 0.470345i | |||||
0.555821 | + | 0.555821i | 0.0313170 | + | 0.0313170i | |||||
0.826930 | − | 0.952227i | 0.0465185 | − | 0.0535669i | |||||
−5.92370 | + | 5.92370i | −0.332708 | + | 0.332708i | −0.853614 | − | 0.520906i | ||
0.520906 | + | 0.853614i | ||||||||
−6.88580 | − | 15.0996i | −0.386136 | − | 0.846743i | |||||
−0.658491 | −0.0368684 | |||||||||
5.64600 | + | 26.3695i | 0.315621 | + | 1.47410i | |||||
0.910467 | 0.0508173 | |||||||||
0.116593 | + | 0.255673i | 0.00649749 | + | 0.0142481i | |||||
−0.112015 | + | 0.112015i | −0.00623267 | + | 0.00623267i | |||||
−5.37929 | + | 6.19436i | −0.298849 | + | 0.344131i | |||||
10.7759 | + | 10.7759i | 0.597737 | + | 0.597737i | |||||
8.03360 | + | 3.00137i | 0.444940 | + | 0.166231i | |||||
− | 25.8252i | − | 1.42813i | |||||||
7.55097 | − | 25.5614i | 0.416933 | − | 1.41139i | |||||
− | 2.03264i | − | 0.112063i | |||||||
−0.351293 | + | 0.940287i | −0.0193381 | + | 0.0517611i | |||||
21.1008 | + | 21.1008i | 1.15981 | + | 1.15981i | 0.984517 | + | 0.175289i | ||
0.175289 | + | 0.984517i | ||||||||
0.141316 | + | 2.00663i | 0.00775575 | + | 0.110128i | |||||
1.80379 | − | 1.80379i | 0.0988472 | − | 0.0988472i | |||||
8.59873 | − | 3.92124i | 0.470501 | − | 0.214561i | |||||
39.8021 | 2.17462 | |||||||||
0.645578 | − | 0.858480i | 0.0352192 | − | 0.0468339i | |||||
−13.0955 | −0.713357 | −0.356678 | − | 0.934227i | ||||||
−0.356678 | + | 0.934227i | ||||||||
−9.34677 | + | 4.26236i | −0.508397 | + | 0.231842i | |||||
−0.933927 | + | 0.933927i | −0.0507239 | + | 0.0507239i | |||||
4.34020 | − | 0.305657i | 0.235380 | − | 0.0165766i | |||||
0.522420 | + | 0.522420i | 0.0282907 | + | 0.0282907i | |||||
−0.142575 | + | 0.381622i | −0.00770957 | + | 0.0206358i | |||||
− | 2.77394i | − | 0.149779i | |||||||
4.71946 | + | 8.67679i | 0.254456 | + | 0.467821i | |||||
− | 4.55562i | − | 0.245267i | |||||||
−5.97309 | − | 2.23156i | −0.321116 | − | 0.119970i | |||||
−18.5247 | − | 18.5247i | −0.994460 | − | 0.994460i | 0.00552468 | − | 0.999985i | ||
−0.999985 | + | 0.00552468i | ||||||||
−8.62539 | − | 7.49044i | −0.462369 | − | 0.401530i | |||||
14.6830 | − | 14.6830i | 0.785961 | − | 0.785961i | −0.194868 | − | 0.980829i | ||
0.980829 | + | 0.194868i | ||||||||
0.741881 | + | 1.62684i | 0.0396552 | + | 0.0869583i | |||||
−13.5088 | −0.721045 | |||||||||
−0.860687 | − | 0.189691i | −0.0458748 | − | 0.0101106i | |||||
1.40458 | 0.0747581 | 0.0373790 | − | 0.999301i | ||||||
0.0373790 | + | 0.999301i | ||||||||
−3.57688 | − | 7.84360i | −0.190109 | − | 0.416883i | |||||
−11.3655 | + | 11.3655i | −0.603217 | + | 0.603217i | |||||
20.9219 | + | 18.1689i | 1.10886 | + | 0.962952i | |||||
−0.122544 | − | 0.122544i | −0.00648570 | − | 0.00648570i | |||||
−7.53757 | − | 2.81605i | −0.398373 | − | 0.148833i | |||||
27.5559i | 1.45435i | 0.686454 | + | 0.727174i | ||||||
−0.686454 | + | 0.727174i | ||||||||
9.82929 | − | 5.34633i | 0.518049 | − | 0.281776i | |||||
18.9397i | 0.996829i | |||||||||
5.17788 | − | 13.8593i | 0.272143 | − | 0.728430i | |||||
10.4887 | + | 10.4887i | 0.550512 | + | 0.550512i | |||||
0.949420 | − | 0.0668626i | 0.0497631 | − | 0.00350455i | |||||
−14.2956 | + | 14.2956i | −0.748264 | + | 0.748264i | |||||
−0.329598 | + | 0.150305i | −0.0172284 | + | 0.00785658i | |||||
2.58686 | 0.135033 | 0.0675165 | − | 0.997718i | ||||||
0.0675165 | + | 0.997718i | ||||||||
3.96052 | − | 0.560617i | 0.206456 | − | 0.0292242i | |||||
−11.0590 | −0.575707 | |||||||||
9.42819 | − | 4.29949i | 0.490148 | − | 0.223520i | |||||
1.21999 | − | 1.21999i | 0.0633386 | − | 0.0633386i | |||||
0.900426 | + | 12.7857i | 0.0466849 | + | 0.662905i | |||||
−6.22966 | − | 6.22966i | −0.322560 | − | 0.322560i | 0.527189 | − | 0.849748i | ||
−0.849748 | + | 0.527189i | ||||||||
−0.0497657 | + | 0.133205i | −0.00257332 | + | 0.00688787i | |||||
− | 6.20919i | − | 0.320641i | |||||||
−27.7487 | − | 8.19710i | −1.43103 | − | 0.422733i | |||||
− | 10.1225i | − | 0.521334i | |||||||
−1.48473 | − | 0.554699i | −0.0763664 | − | 0.0285306i | |||||
1.65615 | + | 1.65615i | 0.0850706 | + | 0.0850706i | 0.748362 | − | 0.663291i | ||
−0.663291 | + | 0.748362i | ||||||||
−1.08506 | + | 1.24947i | −0.0556624 | + | 0.0640964i | |||||
14.8846 | − | 14.8846i | 0.762559 | − | 0.762559i | |||||
13.1383 | + | 28.8104i | 0.672213 | + | 1.47407i | |||||
17.3779 | 0.887968 | 0.443984 | − | 0.896035i | ||||||
0.443984 | + | 0.896035i | ||||||||
−9.11613 | − | 12.2752i | −0.465205 | − | 0.626414i | |||||
−0.104355 | −0.00531840 | |||||||||
10.7118 | + | 23.4895i | 0.545218 | + | 1.19559i | |||||
2.89790 | − | 2.89790i | 0.147309 | − | 0.147309i | |||||
−9.61536 | + | 11.0723i | −0.488146 | + | 0.562110i | |||||
10.5112 | + | 10.5112i | 0.532941 | + | 0.532941i | 0.921446 | − | 0.388505i | ||
−0.388505 | + | 0.921446i | ||||||||
−14.4543 | − | 5.40016i | −0.731922 | − | 0.273448i | |||||
− | 0.645369i | − | 0.0326377i | |||||||
−18.8807 | − | 5.57747i | −0.953621 | − | 0.281705i | |||||
11.0915i | 0.559494i | |||||||||
5.63689 | − | 15.0879i | 0.283982 | − | 0.760120i | |||||
−1.50305 | − | 1.50305i | −0.0756269 | − | 0.0756269i | |||||
0.0256897 | + | 0.364782i | 0.00129095 | + | 0.0183310i | |||||
23.9835 | − | 23.9835i | 1.20370 | − | 1.20370i | 0.230666 | − | 0.973033i | ||
0.973033 | − | 0.230666i | ||||||||
−22.9791 | + | 10.4791i | −1.15184 | + | 0.525268i | |||||
0.0659144 | 0.00329985 | |||||||||
25.2007 | − | 3.56719i | 1.26003 | − | 0.178360i | |||||
−6.10812 | −0.305025 | −0.152513 | − | 0.988302i | ||||||
−0.152513 | + | 0.988302i | ||||||||
−20.5329 | + | 9.36354i | −1.02409 | + | 0.467011i | |||||
−8.03077 | + | 8.03077i | −0.400041 | + | 0.400041i | |||||
26.7707 | − | 1.88532i | 1.33189 | − | 0.0937982i | |||||
9.77757 | + | 9.77757i | 0.485851 | + | 0.485851i | |||||
0.415650 | − | 1.11255i | 0.0206284 | − | 0.0552148i | |||||
0.338659i | 0.0167867i | |||||||||
−2.16709 | + | 1.17872i | −0.107287 | + | 0.0583555i | |||||
− | 32.3334i | − | 1.59878i | −0.600810 | − | 0.799392i | ||||
0.600810 | − | 0.799392i | ||||||||
−42.0820 | − | 15.7219i | −2.07828 | − | 0.776450i | |||||
20.8800 | + | 20.8800i | 1.02994 | + | 1.02994i | |||||
−27.0143 | − | 23.4596i | −1.33090 | − | 1.15577i | |||||
0.633732 | − | 0.633732i | 0.0311839 | − | 0.0311839i | |||||
−0.688630 | − | 1.51007i | −0.0338443 | − | 0.0742158i | |||||
3.39045 | 0.166431 | |||||||||
2.91598 | − | 13.2307i | 0.142968 | − | 0.648687i | |||||
22.6566 | 1.10950 | |||||||||
−0.0224404 | − | 0.0492086i | −0.00109760 | − | 0.00240687i | |||||
9.28588 | − | 9.28588i | 0.453645 | − | 0.453645i | −0.442917 | − | 0.896562i | ||
0.896562 | + | 0.442917i | ||||||||
−1.36691 | − | 1.18705i | −0.0666985 | − | 0.0579221i | |||||
−4.53002 | − | 4.53002i | −0.220779 | − | 0.220779i | 0.588047 | − | 0.808827i | ||
−0.808827 | + | 0.588047i | ||||||||
4.25986 | + | 1.59149i | 0.207367 | + | 0.0774727i | |||||
12.0053i | 0.583717i | |||||||||
−11.7348 | − | 21.5746i | −0.569893 | − | 1.04775i | |||||
− | 4.10646i | − | 0.199193i | |||||||
3.18942 | − | 8.53693i | 0.154528 | − | 0.413616i | |||||
−0.0266302 | − | 0.0266302i | −0.00128873 | − | 0.00128873i | |||||
1.34406 | − | 0.0946550i | 0.0649675 | − | 0.00457532i | |||||
0.356585 | − | 0.356585i | 0.0172161 | − | 0.0172161i | |||||
15.1470 | − | 6.90740i | 0.730452 | − | 0.333105i | |||||
24.7717 | 1.19321 | 0.596605 | − | 0.802535i | ||||||
0.596605 | + | 0.802535i | ||||||||
−13.5600 | + | 18.0319i | −0.652407 | + | 0.867561i | |||||
18.8955 | 0.908059 | 0.454030 | − | 0.890987i | ||||||
0.454030 | + | 0.890987i | ||||||||
−1.21241 | + | 0.552891i | −0.0581976 | + | 0.0265396i | |||||
−13.6148 | + | 13.6148i | −0.652782 | + | 0.652782i | |||||
−2.68486 | − | 38.1239i | −0.128582 | − | 1.82580i | |||||
0.173567 | + | 0.173567i | 0.00830285 | + | 0.00830285i | |||||
4.01166 | − | 10.7378i | 0.191685 | − | 0.513071i | |||||
11.0160i | 0.525766i | 0.964828 | + | 0.262883i | ||||||
−0.964828 | + | 0.262883i | ||||||||
−0.420835 | + | 1.42460i | −0.0200625 | + | 0.0679152i | |||||
8.16864i | 0.388983i | |||||||||
−2.04766 | − | 0.765010i | −0.0973972 | − | 0.0363878i | |||||
3.85949 | + | 3.85949i | 0.183370 | + | 0.183370i | 0.792822 | − | 0.609453i | ||
−0.609453 | + | 0.792822i | ||||||||
−3.85230 | + | 4.43601i | −0.182822 | + | 0.210523i | |||||
33.0244 | − | 33.0244i | 1.56551 | − | 1.56551i | |||||
−1.93340 | − | 4.23968i | −0.0915493 | − | 0.200755i | |||||
16.0298 | 0.758186 | |||||||||
0.863772 | − | 1.33443i | 0.0408094 | − | 0.0630459i | |||||
−38.5451 | −1.81905 | −0.909527 | − | 0.415644i | ||||||
−0.909527 | + | 0.415644i | ||||||||
−4.38173 | − | 9.60853i | −0.206557 | − | 0.452950i | |||||
1.03815 | − | 1.03815i | 0.0488848 | − | 0.0488848i | |||||
−1.28160 | + | 1.47578i | −0.0602812 | + | 0.0694150i | |||||
−14.4226 | − | 14.4226i | −0.677631 | − | 0.677631i | |||||
35.0808 | + | 13.1063i | 1.64642 | + | 0.615107i | |||||
− | 1.60416i | − | 0.0752043i | |||||||
0.265815 | − | 0.899833i | 0.0124479 | − | 0.0421385i | |||||
18.3632i | 0.858996i | 0.903068 | + | 0.429498i | ||||||
−0.903068 | + | 0.429498i | ||||||||
6.93080 | − | 18.5513i | 0.323855 | − | 0.866844i | |||||
2.57396 | + | 2.57396i | 0.120142 | + | 0.120142i | |||||
−0.473617 | − | 6.72515i | −0.0220825 | − | 0.313562i | |||||
8.09188 | − | 8.09188i | 0.376876 | − | 0.376876i | −0.493098 | − | 0.869974i | ||
0.869974 | + | 0.493098i | ||||||||
0.0538340 | − | 0.0245497i | 0.00250458 | − | 0.00114215i | |||||
−26.6880 | −1.24030 | −0.620148 | − | 0.784485i | ||||||
−0.620148 | + | 0.784485i | ||||||||
−13.5118 | − | 10.1609i | −0.627269 | − | 0.471707i | |||||
21.6030 | 1.00181 | |||||||||
21.5646 | − | 9.83399i | 0.998960 | − | 0.455551i | |||||
10.7335 | − | 10.7335i | 0.496689 | − | 0.496689i | −0.413717 | − | 0.910406i | ||
0.910406 | + | 0.413717i | ||||||||
−5.60751 | + | 0.394908i | −0.259207 | + | 0.0182546i | |||||
−1.65898 | − | 1.65898i | −0.0766046 | − | 0.0766046i | |||||
−17.0672 | + | 45.6829i | −0.787253 | + | 2.10720i | |||||
22.7578i | 1.04862i | |||||||||
−6.09574 | − | 11.2071i | −0.280579 | − | 0.515848i | |||||
0.544077i | 0.0250167i | |||||||||
1.12899 | + | 0.421792i | 0.0518560 | + | 0.0193735i | |||||
1.10440 | + | 1.10440i | 0.0506735 | + | 0.0506735i | |||||
−0.193643 | − | 0.168162i | −0.00887559 | − | 0.00770771i | |||||
−7.20556 | + | 7.20556i | −0.329920 | + | 0.329920i | |||||
−9.96476 | − | 21.8513i | −0.455777 | − | 0.999456i | |||||
−15.0208 | −0.686317 | −0.343159 | − | 0.939277i | ||||||
−0.343159 | + | 0.939277i | ||||||||
−21.7175 | + | 13.8734i | −0.991261 | + | 0.633231i | |||||
−5.20595 | −0.237371 | |||||||||
−13.8727 | − | 30.4209i | −0.631883 | − | 1.38563i | |||||
−0.189882 | + | 0.189882i | −0.00863991 | + | 0.00863991i | |||||
16.5741 | + | 14.3932i | 0.753368 | + | 0.654238i | |||||
17.4772 | + | 17.4772i | 0.793598 | + | 0.793598i | |||||
15.0726 | + | 5.63115i | 0.683706 | + | 0.255434i | |||||
35.4382i | 1.60586i | 0.596073 | + | 0.802930i | ||||||
−0.596073 | + | 0.802930i | ||||||||
−0.470936 | + | 0.256151i | −0.0213183 | + | 0.0115954i | |||||
8.19538i | 0.370608i | |||||||||
−11.6129 | + | 31.0835i | −0.524617 | + | 1.40421i | |||||
−19.3127 | − | 19.3127i | −0.871572 | − | 0.871572i | 0.121072 | − | 0.992644i | ||
−0.992644 | + | 0.121072i | ||||||||
25.4077 | − | 1.78933i | 1.14547 | − | 0.0806691i | |||||
−1.92874 | + | 1.92874i | −0.0868659 | + | 0.0868659i | |||||
0.756446 | − | 0.344959i | 0.0340341 | − | 0.0155204i | |||||
0.616345 | 0.0277026 | |||||||||
2.65847 | + | 18.7809i | 0.119369 | + | 0.843289i | |||||
0.947443 | 0.0424986 | |||||||||
−1.74905 | + | 0.797612i | −0.0783769 | + | 0.0357418i | |||||
−17.7085 | + | 17.7085i | −0.792743 | + | 0.792743i | −0.981939 | − | 0.189197i | ||
0.189197 | + | 0.981939i | ||||||||
−0.645527 | − | 9.16619i | −0.0288688 | − | 0.409925i | |||||
6.38605 | + | 6.38605i | 0.285308 | + | 0.285308i | |||||
−7.21195 | + | 19.3038i | −0.321885 | + | 0.861571i | |||||
− | 36.4638i | − | 1.62584i | −0.582375 | − | 0.812921i | ||||
0.582375 | − | 0.812921i | ||||||||
−0.632530 | − | 0.186853i | −0.0281751 | − | 0.00832308i | |||||
− | 45.2325i | − | 2.01282i | |||||||
0.206401 | + | 0.0771120i | 0.00917566 | + | 0.00342805i | |||||
−6.94160 | − | 6.94160i | −0.308287 | − | 0.308287i | |||||
20.4256 | − | 23.5205i | 0.906238 | − | 1.04355i | |||||
−15.9196 | + | 15.9196i | −0.705624 | + | 0.705624i | −0.965612 | − | 0.259988i | ||
0.259988 | + | 0.965612i | ||||||||
1.72518 | + | 3.78307i | 0.0763921 | + | 0.167517i | |||||
1.19170 | 0.0527176 | |||||||||
−14.7337 | − | 17.1732i | −0.651142 | − | 0.758956i | |||||
−1.38450 | −0.0611270 | |||||||||
0.345796 | + | 0.758282i | 0.0152524 | + | 0.0334464i | |||||
−42.6410 | + | 42.6410i | −1.87899 | + | 1.87899i | |||||
−6.18896 | + | 7.12672i | −0.272454 | + | 0.313736i | |||||
−1.12699 | − | 1.12699i | −0.0495649 | − | 0.0495649i | |||||
−0.572179 | − | 0.213767i | −0.0251401 | − | 0.00939240i | |||||
− | 6.09338i | − | 0.267470i | |||||||
−21.8993 | − | 6.46917i | −0.960347 | − | 0.283692i | |||||
33.2196i | 1.45538i | 0.685909 | + | 0.727688i | ||||||
−0.685909 | + | 0.727688i | ||||||||
−2.45494 | + | 6.57099i | −0.107450 | + | 0.287604i | |||||
−27.4509 | − | 27.4509i | −1.20034 | − | 1.20034i | −0.974062 | − | 0.226282i | ||
−0.226282 | − | 0.974062i | ||||||||
1.15311 | + | 16.3736i | 0.0503738 | + | 0.715286i | |||||
−1.20821 | + | 1.20821i | −0.0527307 | + | 0.0527307i | |||||
−7.45946 | + | 3.40170i | −0.325248 | + | 0.148321i | |||||
3.06037 | 0.133312 | |||||||||
−0.118042 | − | 0.833919i | −0.00513714 | − | 0.0362917i | |||||
−1.00000 | −0.0434783 | |||||||||
−37.6625 | + | 17.1751i | −1.63596 | + | 0.746037i | |||||
−3.74298 | + | 3.74298i | −0.162432 | + | 0.162432i | |||||
0.0973048 | − | 0.00685266i | 0.00421870 | − | 0.000297101i | |||||
15.9587 | + | 15.9587i | 0.691250 | + | 0.691250i | |||||
−9.26741 | + | 24.8056i | −0.401040 | + | 1.07344i | |||||
− | 2.27095i | − | 0.0981819i | |||||||
−29.3378 | + | 15.9574i | −1.26720 | + | 0.689255i | |||||
− | 7.68936i | − | 0.331821i | |||||||
9.96917 | + | 3.72451i | 0.429802 | + | 0.160575i | |||||
−0.766825 | − | 0.766825i | −0.0330295 | − | 0.0330295i | |||||
28.7112 | + | 24.9333i | 1.23554 | + | 1.07296i | |||||
−19.2548 | + | 19.2548i | −0.827830 | + | 0.827830i | −0.987216 | − | 0.159386i | ||
0.159386 | + | 0.987216i | ||||||||
−10.1519 | − | 22.2617i | −0.436062 | − | 0.956222i | |||||
14.1384 | 0.606738 | |||||||||
−3.07659 | + | 1.96536i | −0.131908 | + | 0.0842642i | |||||
−64.4150 | −2.75924 | |||||||||
0.377383 | + | 0.827548i | 0.0161505 | + | 0.0354158i | |||||
13.3090 | − | 13.3090i | 0.569051 | − | 0.569051i | −0.362812 | − | 0.931862i | ||
0.931862 | + | 0.362812i | ||||||||
32.9945 | + | 28.6530i | 1.40945 | + | 1.22399i | |||||
0.157285 | + | 0.157285i | 0.00671276 | + | 0.00671276i | |||||
1.31333 | + | 0.490662i | 0.0560004 | + | 0.0209219i | |||||
− | 1.03744i | − | 0.0441964i | |||||||
1.82643 | + | 3.35792i | 0.0777381 | + | 0.142922i | |||||
0.125297i | 0.00532816i | |||||||||
5.07153 | − | 13.5747i | 0.215469 | − | 0.576733i | |||||
7.00207 | + | 7.00207i | 0.297221 | + | 0.297221i | |||||
33.4463 | − | 2.35545i | 1.41844 | − | 0.0998932i | |||||
−15.1073 | + | 15.1073i | −0.640118 | + | 0.640118i | −0.950584 | − | 0.310467i | ||
0.310467 | + | 0.950584i | ||||||||
7.16081 | − | 3.26551i | 0.303141 | − | 0.138240i | |||||
−8.36368 | −0.353746 | |||||||||
−2.14128 | − | 1.61025i | −0.0904858 | − | 0.0680455i | |||||
−0.135888 | −0.00573718 | |||||||||
−5.19455 | + | 2.36885i | −0.219119 | + | 0.0999239i | |||||
−18.6896 | + | 18.6896i | −0.787673 | + | 0.787673i | −0.981112 | − | 0.193439i | ||
0.193439 | + | 0.981112i | ||||||||
−1.94244 | − | 27.5818i | −0.0817915 | − | 1.16140i | |||||
2.32947 | + | 2.32947i | 0.0980015 | + | 0.0980015i | |||||
−7.46168 | + | 19.9722i | −0.313638 | + | 0.839496i | |||||
− | 0.815071i | − | 0.0342298i | |||||||
3.82079 | − | 12.9341i | 0.160317 | − | 0.542701i | |||||
11.4387i | 0.479536i | 0.970830 | + | 0.239768i | ||||||
−0.970830 | + | 0.239768i | ||||||||
−1.48140 | − | 0.553456i | −0.0620492 | − | 0.0231817i | |||||
−11.6909 | − | 11.6909i | −0.489249 | − | 0.489249i | 0.418820 | − | 0.908069i | ||
−0.908069 | + | 0.418820i | ||||||||
0.489330 | − | 0.563473i | 0.0204599 | − | 0.0235600i | |||||
−21.3967 | + | 21.3967i | −0.893861 | + | 0.893861i | |||||
1.09870 | + | 2.40931i | 0.0458590 | + | 0.100562i | |||||
−6.36297 | −0.265354 | |||||||||
−5.10165 | + | 7.88148i | −0.212569 | + | 0.328395i | |||||
−35.4727 | −1.47675 | −0.738374 | − | 0.674391i | ||||||
−0.738374 | + | 0.674391i | ||||||||
−9.73093 | − | 21.3386i | −0.404753 | − | 0.887567i | |||||
−17.4451 | + | 17.4451i | −0.724992 | + | 0.724992i | |||||
−18.6832 | + | 21.5141i | −0.775778 | + | 0.893324i | |||||
−0.141316 | − | 0.141316i | −0.00586279 | − | 0.00586279i | |||||
−13.1276 | − | 4.90450i | −0.544156 | − | 0.203298i | |||||
− | 1.35283i | − | 0.0560286i | |||||||
4.80580 | − | 16.2685i | 0.198865 | − | 0.673195i | |||||
9.47459i | 0.391726i | |||||||||
−6.91399 | + | 18.5063i | −0.285614 | + | 0.764488i | |||||
9.32268 | + | 9.32268i | 0.384788 | + | 0.384788i | 0.872824 | − | 0.488036i | ||
−0.488036 | + | 0.872824i | ||||||||
−1.32167 | − | 18.7672i | −0.0545049 | − | 0.773946i | |||||
−0.823063 | + | 0.823063i | −0.0339137 | + | 0.0339137i | |||||
−19.5641 | + | 8.92172i | −0.805441 | + | 0.367302i | |||||
15.3918 | 0.633134 | |||||||||
−5.22570 | + | 6.94906i | −0.214775 | + | 0.285605i | |||||
8.32328 | 0.341796 | 0.170898 | − | 0.985289i | ||||||
0.170898 | + | 0.985289i | ||||||||
−1.13075 | + | 0.515652i | −0.0463954 | + | 0.0211575i | |||||
−0.305657 | + | 0.305657i | −0.0125307 | + | 0.0125307i | |||||
23.6637 | − | 1.66651i | 0.969304 | − | 0.0682630i | |||||
−17.0660 | − | 17.0660i | −0.698464 | − | 0.698464i | |||||
−1.18538 | + | 3.17285i | −0.0484740 | + | 0.129747i | |||||
40.0370i | 1.63587i | 0.575313 | + | 0.817933i | ||||||
−0.575313 | + | 0.817933i | ||||||||
11.6215 | + | 21.3663i | 0.474448 | + | 0.872277i | |||||
− | 9.90326i | − | 0.403963i | −0.979389 | − | 0.201981i | ||||
0.979389 | − | 0.201981i | ||||||||
−0.919241 | − | 0.343431i | −0.0374655 | − | 0.0139972i | |||||
9.79835 | + | 9.79835i | 0.399020 | + | 0.399020i | |||||
−22.7904 | − | 19.7916i | −0.927330 | − | 0.805309i | |||||
26.1616 | − | 26.1616i | 1.06362 | − | 1.06362i | |||||
10.6410 | + | 23.3343i | 0.432263 | + | 0.947891i | |||||
−33.7530 | −1.36999 | −0.684995 | − | 0.728548i | ||||||
−0.684995 | + | 0.728548i | ||||||||
0.298855 | − | 1.35599i | 0.0121202 | − | 0.0549929i | |||||
1.13495 | 0.0459906 | |||||||||
0.374902 | + | 0.822108i | 0.0151794 | + | 0.0332862i | |||||
17.3243 | − | 17.3243i | 0.700867 | − | 0.700867i | |||||
1.14370 | + | 0.993210i | 0.0462314 | + | 0.0401481i | |||||
12.9941 | + | 12.9941i | 0.524827 | + | 0.524827i | 0.919026 | − | 0.394198i | ||
−0.394198 | + | 0.919026i | ||||||||
25.7185 | + | 9.60850i | 1.03791 | + | 0.387767i | |||||
− | 42.9294i | − | 1.73108i | |||||||
0.0769190 | − | 0.0418377i | 0.00309916 | − | 0.00168569i | |||||
− | 42.9224i | − | 1.72799i | −0.503501 | − | 0.863995i | ||||
0.503501 | − | 0.863995i | ||||||||
11.9660 | − | 32.0288i | 0.481345 | − | 1.28839i | |||||
4.50065 | + | 4.50065i | 0.180896 | + | 0.180896i | 0.791746 | − | 0.610850i | ||
−0.610850 | + | 0.791746i | ||||||||
31.8909 | − | 2.24591i | 1.28077 | − | 0.0901979i | |||||
3.98836 | − | 3.98836i | 0.160047 | − | 0.160047i | |||||
34.8675 | − | 15.9005i | 1.39806 | − | 0.637550i | |||||
−2.75296 | −0.110295 | |||||||||
12.8192 | − | 1.81458i | 0.513178 | − | 0.0726412i | |||||
16.3274 | 0.653097 | |||||||||
11.2977 | − | 5.15203i | 0.451546 | − | 0.205917i | |||||
0.0365460 | − | 0.0365460i | 0.00145950 | − | 0.00145950i | |||||
2.36597 | + | 33.5957i | 0.0944125 | + | 1.34062i | |||||
0.991942 | + | 0.991942i | 0.0395513 | + | 0.0395513i | |||||
−0.389047 | + | 1.04134i | −0.0155000 | + | 0.0414880i | |||||
− | 21.5372i | − | 0.857383i | −0.903451 | − | 0.428691i | ||||
0.903451 | − | 0.428691i | ||||||||
1.71049 | + | 0.505288i | 0.0680397 | + | 0.0200993i | |||||
4.34565i | 0.172724i | |||||||||
−11.0982 | − | 4.14630i | −0.440764 | − | 0.164670i | |||||
−37.1262 | − | 37.1262i | −1.47331 | − | 1.47331i | |||||
15.3887 | − | 17.7204i | 0.610201 | − | 0.702659i | |||||
11.7878 | − | 11.7878i | 0.467050 | − | 0.467050i | |||||
−0.386392 | − | 0.847303i | −0.0152974 | − | 0.0335450i | |||||
−5.59584 | −0.221368 | |||||||||
−30.6176 | + | 22.7381i | −1.21027 | + | 0.898803i | |||||
19.9600 | 0.788373 | 0.394187 | − | 0.919030i | ||||||
0.394187 | + | 0.919030i | ||||||||
0.534247 | + | 1.17153i | 0.0210851 | + | 0.0462366i | |||||
11.5859 | − | 11.5859i | 0.456905 | − | 0.456905i | −0.440733 | − | 0.897638i | ||
0.897638 | + | 0.440733i | ||||||||
−0.260568 | + | 0.300049i | −0.0102678 | + | 0.0118236i | |||||
11.2493 | + | 11.2493i | 0.442939 | + | 0.442939i | |||||
−0.209862 | − | 0.0784049i | −0.00825690 | − | 0.00308480i | |||||
− | 21.3677i | − | 0.840053i | −0.907512 | − | 0.420026i | ||||
0.907512 | − | 0.420026i | ||||||||
−11.1270 | − | 3.28697i | −0.437109 | − | 0.129124i | |||||
− | 0.702740i | − | 0.0275850i | |||||||
−7.54257 | + | 20.1888i | −0.295844 | + | 0.791868i | |||||
−0.900426 | − | 0.900426i | −0.0352905 | − | 0.0352905i | |||||
0.852017 | + | 12.0983i | 0.0333675 | + | 0.473804i | |||||
−35.5745 | + | 35.5745i | −1.39214 | + | 1.39214i | −0.571615 | + | 0.820522i | ||
−0.820522 | + | 0.571615i | ||||||||
33.2301 | − | 15.1538i | 1.29940 | − | 0.592560i | |||||
27.6653 | 1.08097 | |||||||||
37.3215 | − | 5.28292i | 1.45716 | − | 0.206263i | |||||
−7.03847 | −0.274597 | |||||||||
2.61547 | − | 1.19272i | 0.101962 | − | 0.0464971i | |||||
23.0602 | − | 23.0602i | 0.898296 | − | 0.898296i | −0.0969891 | − | 0.995285i | ||
0.995285 | + | 0.0969891i | ||||||||
−1.41603 | + | 0.0997237i | −0.0551190 | + | 0.00388174i | |||||
−26.3968 | − | 26.3968i | −1.02671 | − | 1.02671i | −0.999633 | − | 0.0270814i | ||
−0.0270814 | − | 0.999633i | ||||||||
−14.7695 | + | 39.5328i | −0.574034 | + | 1.53648i | |||||
− | 2.08889i | − | 0.0811259i | |||||||
−2.49908 | + | 1.35929i | −0.0969831 | + | 0.0527509i | |||||
− | 0.164409i | − | 0.00637549i | |||||||
3.37944 | + | 1.26257i | 0.130950 | + | 0.0489234i | |||||
2.98858 | + | 2.98858i | 0.115718 | + | 0.115718i | |||||
10.0912 | + | 8.76336i | 0.390440 | + | 0.339064i | |||||
3.14870 | − | 3.14870i | 0.121736 | − | 0.121736i | |||||
23.3552 | + | 51.2147i | 0.902291 | + | 1.97860i | |||||
−0.0295300 | −0.00113999 | |||||||||
1.48345 | + | 0.326946i | 0.0572254 | + | 0.0126122i | |||||
−26.3257 | −1.01478 | −0.507391 | − | 0.861716i | ||||||
−0.507391 | + | 0.861716i | ||||||||
−7.68422 | − | 16.8504i | −0.295985 | − | 0.649054i | |||||
25.3778 | − | 25.3778i | 0.976793 | − | 0.976793i | |||||
−10.9691 | − | 9.52572i | −0.421887 | − | 0.366374i | |||||
34.7259 | + | 34.7259i | 1.33462 | + | 1.33462i | 0.901180 | + | 0.433445i | ||
0.433445 | + | 0.901180i | ||||||||
−1.74973 | − | 0.653703i | −0.0671979 | − | 0.0251053i | |||||
− | 1.45692i | − | 0.0559115i | |||||||
2.94006 | + | 5.40533i | 0.112746 | + | 0.207285i | |||||
35.7872i | 1.37137i | |||||||||
−0.365669 | + | 0.978764i | −0.0140022 | + | 0.0374788i | |||||
−21.2863 | − | 21.2863i | −0.814498 | − | 0.814498i | 0.170807 | − | 0.985305i | ||
−0.985305 | + | 0.170807i | ||||||||
−0.574707 | + | 0.0404736i | −0.0219745 | + | 0.00154755i | |||||
52.0805 | − | 52.0805i | 1.98989 | − | 1.98989i | |||||
3.56933 | − | 1.62770i | 0.136278 | − | 0.0621460i | |||||
18.9249 | 0.722029 | |||||||||
−8.39541 | + | 11.1641i | −0.320072 | + | 0.425627i | |||||
20.7961 | 0.792267 | |||||||||
5.86188 | − | 2.67317i | 0.223158 | − | 0.101766i | |||||
−16.7977 | + | 16.7977i | −0.639016 | + | 0.639016i | −0.950313 | − | 0.311296i | ||
0.311296 | + | 0.950313i | ||||||||
−0.633487 | − | 8.99523i | −0.0240815 | − | 0.341947i | |||||
−0.0256897 | − | 0.0256897i | −0.000975870 | − | 0.000975870i | |||||
12.9664 | − | 34.7064i | 0.492198 | − | 1.31744i | |||||
− | 56.5117i | − | 2.14361i | |||||||
4.57696 | − | 15.4938i | 0.173489 | − | 0.587293i | |||||
− | 6.08156i | − | 0.230356i | |||||||
27.5088 | + | 10.2774i | 1.04122 | + | 0.389004i | |||||
16.0154 | + | 16.0154i | 0.605760 | + | 0.605760i | |||||
−1.65799 | + | 1.90921i | −0.0626660 | + | 0.0721612i | |||||
9.14173 | − | 9.14173i | 0.345279 | − | 0.345279i | −0.513069 | − | 0.858347i | ||
0.858347 | + | 0.513069i | ||||||||
−7.92673 | − | 17.3822i | −0.299175 | − | 0.656049i | |||||
−0.533551 | −0.0201233 | |||||||||
−0.260954 | − | 1.21878i | −0.00983509 | − | 0.0459346i | |||||
−46.6029 | −1.75517 | |||||||||
0.824182 | + | 1.80732i | 0.0310185 | + | 0.0680193i | |||||
−1.88532 | + | 1.88532i | −0.0709048 | + | 0.0709048i | |||||
7.99378 | − | 9.20499i | 0.300424 | − | 0.345945i | |||||
6.26542 | + | 6.26542i | 0.235303 | + | 0.235303i | 0.814902 | − | 0.579599i | ||
−0.579599 | + | 0.814902i | ||||||||
−21.2934 | − | 7.95528i | −0.799129 | − | 0.298556i | |||||
− | 0.740034i | − | 0.0277534i | |||||||
−11.1020 | + | 37.5822i | −0.416064 | + | 1.40845i | |||||
− | 4.74204i | − | 0.177591i | |||||||
0.0857745 | − | 0.229588i | 0.00321003 | − | 0.00859210i | |||||
−0.889421 | − | 0.889421i | −0.0332625 | − | 0.0332625i | |||||
−0.799410 | − | 11.3513i | −0.0298753 | − | 0.424217i | |||||
16.2284 | − | 16.2284i | 0.606061 | − | 0.606061i | |||||
−35.4572 | + | 16.1694i | −1.32325 | + | 0.603436i | |||||
−14.6826 | −0.547569 | −0.273784 | − | 0.961791i | ||||||
−0.273784 | + | 0.961791i | ||||||||
12.6470 | + | 9.51054i | 0.471325 | + | 0.354437i | |||||
3.55461 | 0.132381 | |||||||||
−24.3704 | + | 11.1135i | −0.906973 | + | 0.413603i | |||||
22.5928 | − | 22.5928i | 0.840234 | − | 0.840234i | |||||
20.8716 | − | 1.46988i | 0.775686 | − | 0.0546275i | |||||
19.0163 | + | 19.0163i | 0.706246 | + | 0.706246i | |||||
−7.34155 | + | 19.6507i | −0.272470 | + | 0.729306i | |||||
− | 38.0962i | − | 1.41291i | −0.707757 | − | 0.706456i | ||||
0.707757 | − | 0.706456i | ||||||||
0.643138 | + | 1.18242i | 0.0238363 | + | 0.0438233i | |||||
27.6822i | 1.02527i | |||||||||
−26.7830 | − | 10.0062i | −0.991282 | − | 0.370345i | |||||
1.59362 | + | 1.59362i | 0.0589420 | + | 0.0589420i | |||||
−0.386806 | − | 0.335909i | −0.0142968 | − | 0.0124155i | |||||
−9.11245 | + | 9.11245i | −0.336576 | + | 0.336576i | −0.855077 | − | 0.518501i | ||
0.518501 | + | 0.855077i | ||||||||
1.51793 | + | 3.32860i | 0.0560277 | + | 0.122861i | |||||
−31.7095 | −1.16962 | |||||||||
3.04533 | + | 4.76717i | 0.112252 | + | 0.175720i | |||||
−1.83963 | −0.0677636 | |||||||||
−6.48923 | − | 14.2300i | −0.238872 | − | 0.523812i | |||||
−24.5125 | + | 24.5125i | −0.901708 | + | 0.901708i | −0.995584 | − | 0.0938755i | ||
0.0938755 | + | 0.995584i | ||||||||
11.0646 | + | 9.60870i | 0.406743 | + | 0.353223i | |||||
0.561793 | + | 0.561793i | 0.0206380 | + | 0.0206380i | |||||
2.28567 | + | 0.853931i | 0.0839095 | + | 0.0313488i | |||||
− | 35.3509i | − | 1.29690i | −0.761258 | − | 0.648449i | ||||
0.761258 | − | 0.648449i | ||||||||
−15.9234 | + | 8.66102i | −0.583780 | + | 0.317528i | |||||
− | 39.9828i | − | 1.46486i | |||||||
4.36045 | − | 11.6714i | 0.159648 | − | 0.427320i | |||||
0.834651 | + | 0.834651i | 0.0305383 | + | 0.0305383i | |||||
−0.200601 | + | 0.0141273i | −0.00733470 | + | 0.000516545i | |||||
−0.0946550 | + | 0.0946550i | −0.00345862 | + | 0.00345862i | |||||
7.98958 | − | 3.64345i | 0.291738 | − | 0.133040i | |||||
−47.2423 | −1.72390 | −0.861948 | − | 0.506997i | ||||||
−0.861948 | + | 0.506997i | ||||||||
−5.73497 | − | 40.5151i | −0.209133 | − | 1.47743i | |||||
−19.6926 | −0.717637 | |||||||||
13.0249 | − | 5.93970i | 0.474340 | − | 0.216311i | |||||
−35.9738 | + | 35.9738i | −1.30922 | + | 1.30922i | |||||
−0.157466 | − | 2.23594i | −0.00572697 | − | 0.0813205i | |||||
−3.51361 | − | 3.51361i | −0.127704 | − | 0.127704i | 0.640366 | − | 0.768070i | ||
−0.768070 | + | 0.640366i | ||||||||
−1.15922 | + | 3.10282i | −0.0421048 | + | 0.112700i | |||||
0.210558i | 0.00764277i | |||||||||
−2.24443 | − | 0.663016i | −0.0814140 | − | 0.0240501i | |||||
15.6852i | 0.568587i | 0.958737 | + | 0.284294i | ||||||
−0.958737 | + | 0.284294i | ||||||||
27.8865 | + | 10.4185i | 1.01022 | + | 0.377421i | |||||
2.68486 | + | 2.68486i | 0.0971986 | + | 0.0971986i | |||||
−29.3620 | + | 33.8109i | −1.06228 | + | 1.22324i | |||||
1.80529 | − | 1.80529i | 0.0652704 | − | 0.0652704i | |||||
10.1971 | + | 22.3607i | 0.368435 | + | 0.807925i | |||||
10.8027 | 0.390062 | |||||||||
10.4457 | − | 18.9329i | 0.376926 | − | 0.683182i | |||||
36.5815 | 1.31916 | 0.659582 | − | 0.751632i | ||||||
0.659582 | + | 0.751632i | ||||||||
−0.0612336 | − | 0.134277i | −0.00220670 | − | 0.00483899i | |||||
−0.563156 | + | 0.563156i | −0.0202816 | + | 0.0202816i | |||||
−23.9393 | + | 27.5666i | −0.861593 | + | 0.992142i | |||||
8.64036 | + | 8.64036i | 0.310772 | + | 0.310772i | 0.845209 | − | 0.534436i | ||
−0.534436 | + | 0.845209i | ||||||||
5.42927 | + | 2.02839i | 0.195151 | + | 0.0729089i | |||||
− | 30.1735i | − | 1.08386i | |||||||
−19.8892 | − | 5.87538i | −0.713981 | − | 0.210914i | |||||
− | 0.583702i | − | 0.0209402i | |||||||
−7.35735 | + | 19.6930i | −0.263774 | + | 0.706028i | |||||
1.63559 | + | 1.63559i | 0.0586011 | + | 0.0586011i | |||||
−1.53298 | − | 21.7676i | −0.0548893 | − | 0.779404i | |||||
0.525305 | − | 0.525305i | 0.0187969 | − | 0.0187969i | |||||
0.830418 | − | 0.378692i | 0.0296957 | − | 0.0135420i | |||||
−23.8391 | −0.851939 | |||||||||
−3.90219 | − | 27.5673i | −0.139364 | − | 0.984545i | |||||
56.7642 | 2.02600 | |||||||||
−14.2718 | + | 6.50833i | −0.509060 | + | 0.232144i | |||||
−16.4340 | + | 16.4340i | −0.585810 | + | 0.585810i | −0.936494 | − | 0.350684i | ||
0.350684 | + | 0.936494i | ||||||||
22.7218 | − | 1.60018i | 0.809431 | − | 0.0570040i | |||||
−5.53994 | − | 5.53994i | −0.197227 | − | 0.197227i | |||||
1.05206 | − | 2.81600i | 0.0374307 | − | 0.100189i | |||||
− | 0.194188i | − | 0.00690452i | |||||||
−0.454303 | + | 0.247104i | −0.0161430 | + | 0.00878045i | |||||
− | 0.453943i | − | 0.0161200i | |||||||
44.9336 | + | 16.7873i | 1.59463 | + | 0.595759i | |||||
−27.9710 | − | 27.9710i | −0.992028 | − | 0.992028i | |||||
−26.9675 | − | 23.4191i | −0.955839 | − | 0.830067i | |||||
25.2190 | − | 25.2190i | 0.893301 | − | 0.893301i | −0.101531 | − | 0.994832i | ||
0.994832 | + | 0.101531i | ||||||||
0.0386775 | + | 0.0848143i | 0.00136917 | + | 0.00300239i | |||||
−6.60196 | −0.233561 | |||||||||
19.3774 | + | 30.3334i | 0.685094 | + | 1.07245i | |||||
16.2597 | 0.574508 | |||||||||
−3.58415 | − | 7.85953i | −0.126561 | − | 0.277530i | |||||
0.660731 | − | 0.660731i | 0.0233167 | − | 0.0233167i | |||||
−24.0968 | − | 20.9261i | −0.849828 | − | 0.738005i | |||||
0.473617 | + | 0.473617i | 0.0166928 | + | 0.0166928i | |||||
−15.0458 | − | 5.62114i | −0.529965 | − | 0.197996i | |||||
10.1699i | 0.357999i | |||||||||
18.1345 | + | 33.3405i | 0.637970 | + | 1.17292i | |||||
4.15515i | 0.146087i | 0.997329 | + | 0.0730437i | ||||||
−0.997329 | + | 0.0730437i | ||||||||
−6.84381 | + | 18.3184i | −0.240467 | + | 0.643644i | |||||
17.1267 | + | 17.1267i | 0.601401 | + | 0.601401i | 0.940684 | − | 0.339283i | ||
−0.339283 | + | 0.940684i | ||||||||
1.67545 | − | 0.117993i | 0.0587968 | − | 0.00414075i | |||||
16.5332 | − | 16.5332i | 0.579844 | − | 0.579844i | |||||
−0.435765 | + | 0.198720i | −0.0152735 | + | 0.00696512i | |||||
20.4415 | 0.716035 | |||||||||
−2.78832 | − | 2.09682i | −0.0976107 | − | 0.0734034i | |||||
−0.857183 | −0.0299890 | |||||||||
41.6045 | − | 18.9727i | 1.45467 | − | 0.663365i | |||||
0.394908 | − | 0.394908i | 0.0137992 | − | 0.0137992i | |||||
−4.46307 | − | 63.3737i | −0.155857 | − | 2.21310i | |||||
3.56382 | + | 3.56382i | 0.124378 | + | 0.124378i | 0.766556 | − | 0.642178i | ||
−0.642178 | + | 0.766556i | ||||||||
−14.6150 | + | 39.1191i | −0.509756 | + | 1.36444i | |||||
3.74854i | 0.130666i | 0.997864 | + | 0.0653330i | ||||||
−0.997864 | + | 0.0653330i | ||||||||
14.3348 | − | 48.5259i | 0.499377 | − | 1.69048i | |||||
1.33977i | 0.0466450i | |||||||||
1.18731 | + | 0.443581i | 0.0413117 | + | 0.0154342i | |||||
30.9923 | + | 30.9923i | 1.07771 | + | 1.07771i | 0.996715 | + | 0.0809919i | ||
0.0809919 | + | 0.996715i | ||||||||
1.53898 | − | 1.77217i | 0.0534833 | − | 0.0615871i | |||||
35.4267 | − | 35.4267i | 1.23042 | − | 1.23042i | 0.266617 | − | 0.963802i | ||
0.963802 | − | 0.266617i | ||||||||
1.98946 | + | 4.36261i | 0.0690553 | + | 0.151429i | |||||
13.8481 | 0.480384 | |||||||||
18.7354 | − | 4.01145i | 0.649534 | − | 0.139072i | |||||
−4.49210 | −0.155642 | |||||||||
13.2945 | + | 29.1530i | 0.460351 | + | 1.00949i | |||||
15.9286 | − | 15.9286i | 0.551230 | − | 0.551230i | |||||
0.0501508 | − | 0.0577496i | 0.00173450 | − | 0.00199731i | |||||
18.9130 | + | 18.9130i | 0.653728 | + | 0.653728i | |||||
17.3973 | + | 6.49966i | 0.600978 | + | 0.224527i | |||||
− | 21.5359i | − | 0.743503i | −0.928332 | − | 0.371751i | ||||
0.928332 | − | 0.371751i | ||||||||
0.725336 | − | 2.45539i | 0.0250265 | − | 0.0847191i | |||||
11.1368i | 0.384027i | |||||||||
3.17079 | − | 8.48707i | 0.109273 | − | 0.292484i | |||||
−3.85786 | − | 3.85786i | −0.132872 | − | 0.132872i | |||||
0.451787 | + | 6.41517i | 0.0155511 | + | 0.220819i | |||||
−17.3142 | + | 17.3142i | −0.595628 | + | 0.595628i | |||||
−15.4476 | + | 7.04451i | −0.531100 | + | 0.242195i | |||||
−2.18087 | −0.0749355 | |||||||||
20.8750 | − | 27.7592i | 0.716849 | − | 0.953255i | |||||
−20.3745 | −0.699249 | |||||||||
5.28393 | − | 2.40961i | 0.181237 | − | 0.0826488i | |||||
1.53702 | − | 1.53702i | 0.0526882 | − | 0.0526882i | |||||
12.8563 | − | 0.905399i | 0.440448 | − | 0.0310184i | |||||
−5.87912 | − | 5.87912i | −0.201297 | − | 0.201297i | 0.599258 | − | 0.800556i | ||
−0.800556 | + | 0.599258i | ||||||||
0.0186399 | − | 0.0498922i | 0.000637843 | − | 0.00170728i | |||||
0.971039i | 0.0332088i | |||||||||
0.910467 | + | 1.67390i | 0.0311191 | + | 0.0572129i | |||||
22.1495i | 0.756611i | 0.925681 | + | 0.378306i | ||||||
−0.925681 | + | 0.378306i | ||||||||
0.668069 | + | 0.249592i | 0.0228075 | + | 0.00852093i | |||||
−21.2141 | − | 21.2141i | −0.723817 | − | 0.723817i | 0.245564 | − | 0.969380i | ||
−0.969380 | + | 0.245564i | ||||||||
17.7760 | + | 15.4370i | 0.606156 | + | 0.526396i | |||||
−1.78933 | + | 1.78933i | −0.0609801 | + | 0.0609801i | |||||
14.5356 | + | 31.8745i | 0.495085 | + | 1.08565i | |||||
−18.1225 | −0.616897 | −0.308448 | − | 0.951241i | ||||||
−0.308448 | + | 0.951241i | ||||||||
−31.1591 | − | 6.86732i | −1.06005 | − | 0.233631i | |||||
−15.1986 | −0.516767 | |||||||||
11.0876 | + | 24.3135i | 0.376771 | + | 0.826205i | |||||
15.8476 | − | 15.8476i | 0.538212 | − | 0.538212i | |||||
−1.42285 | − | 1.23562i | −0.0482946 | − | 0.0419398i | |||||
0.0694702 | + | 0.0694702i | 0.00235661 | + | 0.00235661i | |||||
−25.5077 | − | 9.52972i | −0.864791 | − | 0.323088i | |||||
− | 28.2792i | − | 0.958203i | |||||||
47.4798 | − | 25.8252i | 1.60787 | − | 0.874550i | |||||
8.60495i | 0.291233i | |||||||||
−0.121488 | + | 0.325181i | −0.00410941 | + | 0.0109994i | |||||
0.645527 | + | 0.645527i | 0.0218228 | + | 0.0218228i | |||||
16.1707 | − | 1.13881i | 0.546356 | − | 0.0384770i | |||||
−16.3977 | + | 16.3977i | −0.553712 | + | 0.553712i | −0.927510 | − | 0.373798i | ||
0.373798 | + | 0.927510i | ||||||||
−14.1747 | + | 6.46402i | −0.478373 | + | 0.218150i | |||||
−18.8790 | −0.636772 | |||||||||
−2.08002 | + | 0.294430i | −0.0701175 | + | 0.00992524i | |||||
17.3802 | 0.585554 | 0.292777 | − | 0.956181i | ||||||
0.292777 | + | 0.956181i | ||||||||
−10.5109 | + | 4.79322i | −0.353919 | + | 0.161396i | |||||
−32.1303 | + | 32.1303i | −1.08127 | + | 1.08127i | −0.0848783 | + | 0.996391i | ||
−0.996391 | + | 0.0848783i | ||||||||
−0.217168 | − | 3.08369i | −0.00730414 | − | 0.103716i | |||||
−14.5297 | − | 14.5297i | −0.488412 | − | 0.488412i | |||||
−2.70145 | + | 7.23081i | −0.0907570 | + | 0.242924i | |||||
19.2567i | 0.646577i | 0.946301 | + | 0.323288i | ||||||
−0.946301 | + | 0.323288i | ||||||||
−7.96843 | − | 2.35392i | −0.267403 | − | 0.0789922i | |||||
3.09489i | 0.103799i | |||||||||
61.8718 | + | 23.1155i | 2.07395 | + | 0.774832i | |||||
−0.451913 | − | 0.451913i | −0.0151396 | − | 0.0151396i | |||||
4.32085 | − | 4.97555i | 0.144673 | − | 0.166594i | |||||
1.77555 | − | 1.77555i | 0.0594165 | − | 0.0594165i | |||||
9.40605 | + | 20.6262i | 0.314585 | + | 0.689842i | |||||
−19.1794 | −0.641096 | |||||||||
2.22390 | + | 0.328423i | 0.0742954 | + | 0.0109718i | |||||
−3.23674 | −0.108072 | |||||||||
−22.6176 | − | 49.5973i | −0.754760 | − | 1.65508i | |||||
−14.1720 | + | 14.1720i | −0.472662 | + | 0.472662i | |||||
9.79249 | − | 11.2763i | 0.326416 | − | 0.375875i | |||||
−3.96248 | − | 3.96248i | −0.132009 | − | 0.132009i | |||||
1.94500 | + | 0.726657i | 0.0647614 | + | 0.0241950i | |||||
− | 0.937753i | − | 0.0312065i | |||||||
−2.65096 | − | 0.783108i | −0.0881697 | − | 0.0260458i | |||||
− | 35.2651i | − | 1.17225i | |||||||
10.0951 | − | 27.0209i | 0.335387 | − | 0.897711i | |||||
10.0733 | + | 10.0733i | 0.334478 | + | 0.334478i | 0.854284 | − | 0.519806i | ||
−0.519806 | + | 0.854284i | ||||||||
3.72055 | + | 52.8301i | 0.123471 | + | 1.75323i | |||||
11.1352 | − | 11.1352i | 0.369331 | − | 0.369331i | |||||
2.06413 | − | 0.941297i | 0.0684253 | − | 0.0312037i | |||||
−15.0348 | −0.498123 | −0.249062 | − | 0.968488i | ||||||
−0.249062 | + | 0.968488i | ||||||||
1.31382 | − | 0.185974i | 0.0435050 | − | 0.00615820i | |||||
−0.156705 | −0.00518616 | |||||||||
−23.6286 | + | 10.7752i | −0.781565 | + | 0.356413i | |||||
−0.610558 | + | 0.610558i | −0.0201844 | + | 0.0201844i | |||||
27.9374 | − | 1.96749i | 0.923079 | − | 0.0650076i | |||||
−1.15311 | − | 1.15311i | −0.0380790 | − | 0.0380790i | |||||
−1.80165 | + | 4.82236i | −0.0594632 | + | 0.159162i | |||||
7.04804i | 0.232493i | 0.993220 | + | 0.116247i | ||||||
−0.993220 | + | 0.116247i | ||||||||
8.37556 | − | 4.55562i | 0.276134 | − | 0.150194i | |||||
26.2364i | 0.864520i | |||||||||
15.1603 | + | 5.66391i | 0.499277 | + | 0.186531i | |||||
8.07512 | + | 8.07512i | 0.265796 | + | 0.265796i | |||||
0.0631778 | + | 0.0548647i | 0.00207840 | + | 0.00180492i | |||||
9.77999 | − | 9.77999i | 0.321564 | − | 0.321564i | |||||
−15.6601 | − | 34.3403i | −0.514622 | − | 1.12849i | |||||
−20.9944 | −0.689548 | |||||||||
5.14586 | − | 23.3483i | 0.168921 | − | 0.766446i | |||||
18.2295 | 0.598092 | 0.299046 | − | 0.954239i | ||||||
0.299046 | + | 0.954239i | ||||||||
12.6763 | + | 27.7973i | 0.415671 | + | 0.911508i | |||||
1.20812 | − | 1.20812i | 0.0395945 | − | 0.0395945i | |||||
25.3075 | + | 21.9774i | 0.828974 | + | 0.719895i | |||||
25.8952 | + | 25.8952i | 0.847770 | + | 0.847770i | |||||
20.1095 | + | 7.51295i | 0.658003 | + | 0.245831i | |||||
0.338941i | 0.0110845i | |||||||||
−3.79854 | − | 6.98365i | −0.124159 | − | 0.228268i | |||||
− | 3.46482i | − | 0.113191i | −0.998397 | − | 0.0565954i | ||||
0.998397 | − | 0.0565954i | ||||||||
1.16120 | − | 3.10813i | 0.0379147 | − | 0.101484i | |||||
8.39050 | + | 8.39050i | 0.273813 | + | 0.273813i | |||||
−68.7965 | + | 4.84498i | −2.24390 | + | 0.158026i | |||||
−37.0149 | + | 37.0149i | −1.20665 | + | 1.20665i | −0.234548 | + | 0.972105i | ||
−0.972105 | + | 0.234548i | ||||||||
−29.2833 | + | 13.3539i | −0.954100 | + | 0.435094i | |||||
−9.42339 | −0.306868 | |||||||||
10.8437 | − | 14.4197i | 0.352931 | − | 0.469323i | |||||
−3.77791 | −0.122895 | |||||||||
−0.700083 | + | 0.319256i | −0.0227617 | + | 0.0103799i | |||||
11.3604 | − | 11.3604i | 0.369162 | − | 0.369162i | −0.498009 | − | 0.867172i | ||
0.867172 | + | 0.498009i | ||||||||
0.119736 | + | 1.70020i | 0.00388886 | + | 0.0552201i | |||||
10.1569 | + | 10.1569i | 0.329707 | + | 0.329707i | |||||
−0.773028 | + | 2.06912i | −0.0250803 | + | 0.0671311i | |||||
− | 11.3217i | − | 0.367130i | |||||||
0.102754 | − | 0.347841i | 0.00333028 | − | 0.0112736i | |||||
20.7206i | 0.671205i | 0.942004 | + | 0.335602i | ||||||
−0.942004 | + | 0.335602i | ||||||||
−13.4997 | − | 5.04353i | −0.437070 | − | 0.163290i | |||||
53.3693 | + | 53.3693i | 1.72699 | + | 1.72699i | |||||
22.2697 | − | 25.6440i | 0.720253 | − | 0.829386i | |||||
0.629269 | − | 0.629269i | 0.0203414 | − | 0.0203414i | |||||
−8.81395 | − | 19.3278i | −0.284766 | − | 0.624452i | |||||
−4.34150 | −0.140194 | |||||||||
−30.5948 | − | 19.8039i | −0.987443 | − | 0.639168i | |||||
−8.51304 | −0.274614 | |||||||||
−3.05477 | − | 6.69867i | −0.0984896 | − | 0.215974i | |||||
0.559056 | − | 0.559056i | 0.0180153 | − | 0.0180153i | |||||
31.0033 | − | 35.7009i | 0.998549 | − | 1.14985i | |||||
43.5128 | + | 43.5128i | 1.40073 | + | 1.40073i | |||||
−0.355746 | − | 0.132908i | −0.0114460 | − | 0.00427624i | |||||
2.41108i | 0.0775351i | 0.999248 | + | 0.0387676i | ||||||
−0.999248 | + | 0.0387676i | ||||||||
−8.79486 | + | 29.7722i | −0.282677 | + | 0.956914i | |||||
− | 0.214088i | − | 0.00687750i | |||||||
−12.2332 | + | 32.7438i | −0.392783 | + | 1.05134i | |||||
21.2034 | + | 21.2034i | 0.680450 | + | 0.680450i | 0.960101 | − | 0.279652i | ||
−0.279652 | + | 0.960101i | ||||||||
1.59855 | + | 22.6987i | 0.0512735 | + | 0.728061i | |||||
−2.35545 | + | 2.35545i | −0.0755121 | + | 0.0755121i | |||||
−45.5996 | + | 20.7946i | −1.46111 | + | 0.666301i | |||||
−20.5953 | −0.659578 | |||||||||
−0.605936 | − | 0.455665i | −0.0193955 | − | 0.0145855i | |||||
54.6270 | 1.74767 | 0.873836 | − | 0.486221i | ||||||
0.873836 | + | 0.486221i | ||||||||
−10.5453 | + | 4.80891i | −0.337201 | + | 0.153772i | |||||
−1.52637 | + | 1.52637i | −0.0487829 | + | 0.0487829i | |||||
−46.8105 | + | 3.29662i | −1.49531 | + | 0.105307i | |||||
−15.8575 | − | 15.8575i | −0.506290 | − | 0.506290i | |||||
13.5180 | − | 36.1828i | 0.431376 | − | 1.15464i | |||||
50.7618i | 1.61905i | 0.587086 | + | 0.809525i | ||||||
−0.587086 | + | 0.809525i | ||||||||
17.2112 | + | 31.6430i | 0.548673 | + | 1.00874i | |||||
− | 38.3913i | − | 1.22325i | |||||||
−3.61352 | − | 1.35002i | −0.115078 | − | 0.0429934i | |||||
1.94244 | + | 1.94244i | 0.0618285 | + | 0.0618285i | |||||
0.887741 | + | 0.770929i | 0.0282428 | + | 0.0245265i | |||||
2.46931 | − | 2.46931i | 0.0785195 | − | 0.0785195i | |||||
0.361661 | + | 0.793072i | 0.0114943 | + | 0.0252055i | |||||
−1.15359 | −0.0366450 | −0.0183225 | − | 0.999832i | ||||||
−0.0183225 | + | 0.999832i | ||||||||
−22.6061 | + | 14.4411i | −0.717746 | + | 0.458505i | |||||
−40.3289 | −1.27980 | |||||||||
0.555944 | + | 1.21911i | 0.0176335 | + | 0.0386677i | |||||
−42.5672 | + | 42.5672i | −1.34947 | + | 1.34947i | |||||
−2.05263 | − | 1.78254i | −0.0650400 | − | 0.0564819i | |||||
27.0122 | + | 27.0122i | 0.855484 | + | 0.855484i | 0.990802 | − | 0.135318i | ||
−0.135318 | + | 0.990802i | ||||||||
−33.1772 | − | 12.3951i | −1.05021 | − | 0.392360i | |||||
12.2603i | 0.387900i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 368.2.j.c.277.4 | yes | 12 | |
4.3 | odd | 2 | 1472.2.j.c.369.5 | 12 | |||
16.3 | odd | 4 | 1472.2.j.c.1105.5 | 12 | |||
16.13 | even | 4 | inner | 368.2.j.c.93.4 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
368.2.j.c.93.4 | ✓ | 12 | 16.13 | even | 4 | inner | |
368.2.j.c.277.4 | yes | 12 | 1.1 | even | 1 | trivial | |
1472.2.j.c.369.5 | 12 | 4.3 | odd | 2 | |||
1472.2.j.c.1105.5 | 12 | 16.3 | odd | 4 |