Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(23,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 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("165.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 165.k (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 23.8 | ||
Root | of defining polynomial | ||
Character | 165.23 | ||
Dual form | 165.2.k.c.122.8 |
-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 .
1.31757 | + | 1.31757i | 0.931660 | + | 0.931660i | 0.997810 | − | 0.0661495i | ||
−0.0661495 | + | 0.997810i | ||||||||
1.52275 | + | 0.825374i | 0.879158 | + | 0.476530i | |||||
1.47196i | 0.735981i | |||||||||
−1.49219 | − | 1.66534i | −0.667329 | − | 0.744763i | |||||
0.918834 | + | 3.09381i | 0.375112 | + | 1.26304i | |||||
−2.09381 | + | 2.09381i | −0.791384 | + | 0.791384i | −0.981719 | − | 0.190335i | ||
0.190335 | + | 0.981719i | ||||||||
0.695724 | − | 0.695724i | 0.245976 | − | 0.245976i | |||||
1.63751 | + | 2.51367i | 0.545838 | + | 0.837891i | |||||
0.228136 | − | 4.16026i | 0.0721430 | − | 1.31559i | |||||
− | 1.00000i | − | 0.301511i | |||||||
−1.21492 | + | 2.24143i | −0.350717 | + | 0.647044i | |||||
0.161681 | + | 0.161681i | 0.0448422 | + | 0.0448422i | 0.729172 | − | 0.684330i | ||
−0.684330 | + | 0.729172i | ||||||||
−5.51746 | −1.47460 | |||||||||
−0.897700 | − | 3.76751i | −0.231785 | − | 0.972767i | |||||
4.77725 | 1.19431 | |||||||||
−3.37518 | − | 3.37518i | −0.818602 | − | 0.818602i | 0.167304 | − | 0.985905i | ||
−0.985905 | + | 0.167304i | ||||||||
−1.15440 | + | 5.46946i | −0.272094 | + | 1.28917i | |||||
− | 8.52083i | − | 1.95481i | −0.211371 | − | 0.977406i | ||||
0.211371 | − | 0.977406i | ||||||||
2.45132 | − | 2.19645i | 0.548132 | − | 0.491141i | |||||
−4.91651 | + | 1.46016i | −1.07287 | + | 0.318633i | |||||
1.31757 | − | 1.31757i | 0.280906 | − | 0.280906i | |||||
−3.15119 | + | 3.15119i | −0.657068 | + | 0.657068i | −0.954685 | − | 0.297617i | ||
0.297617 | + | 0.954685i | ||||||||
1.63364 | − | 0.485178i | 0.333466 | − | 0.0990366i | |||||
−0.546726 | + | 4.97002i | −0.109345 | + | 0.994004i | |||||
0.426051i | 0.0835555i | |||||||||
0.418798 | + | 5.17925i | 0.0805978 | + | 0.996747i | |||||
−3.08200 | − | 3.08200i | −0.582444 | − | 0.582444i | |||||
−3.01631 | −0.560114 | −0.280057 | − | 0.959983i | ||||||
−0.280057 | + | 0.959983i | ||||||||
3.78117 | − | 6.14672i | 0.690343 | − | 1.12223i | |||||
5.01096 | 0.899996 | 0.449998 | − | 0.893030i | ||||||
0.449998 | + | 0.893030i | ||||||||
4.90290 | + | 4.90290i | 0.866718 | + | 0.866718i | |||||
0.825374 | − | 1.52275i | 0.143679 | − | 0.265076i | |||||
− | 8.89405i | − | 1.52532i | |||||||
6.61126 | + | 0.362542i | 1.11751 | + | 0.0612807i | |||||
−3.70003 | + | 2.41036i | −0.616672 | + | 0.401727i | |||||
−4.74287 | + | 4.74287i | −0.779722 | + | 0.779722i | −0.979783 | − | 0.200061i | ||
0.200061 | + | 0.979783i | ||||||||
11.2268 | − | 11.2268i | 1.82122 | − | 1.82122i | |||||
0.112752 | + | 0.379646i | 0.0180547 | + | 0.0607921i | |||||
−2.19677 | − | 0.120464i | −0.347340 | − | 0.0190471i | |||||
4.49923i | 0.702662i | 0.936251 | + | 0.351331i | ||||||
−0.936251 | + | 0.351331i | ||||||||
−8.40169 | − | 4.55397i | −1.29641 | − | 0.702692i | |||||
0.336036 | + | 0.336036i | 0.0512450 | + | 0.0512450i | 0.732265 | − | 0.681020i | ||
−0.681020 | + | 0.732265i | ||||||||
1.47196 | 0.221907 | |||||||||
1.74264 | − | 6.47790i | 0.259777 | − | 0.965669i | |||||
−8.30379 | −1.22433 | |||||||||
6.15190 | + | 6.15190i | 0.897346 | + | 0.897346i | 0.995201 | − | 0.0978543i | ||
−0.0978543 | + | 0.995201i | ||||||||
7.27454 | + | 3.94302i | 1.04999 | + | 0.569126i | |||||
− | 1.76804i | − | 0.252578i | |||||||
−7.26868 | + | 5.82798i | −1.02795 | + | 0.824201i | |||||
−2.35376 | − | 7.92533i | −0.329592 | − | 1.10977i | |||||
−0.237988 | + | 0.237988i | −0.0330031 | + | 0.0330031i | |||||
−1.62043 | + | 1.62043i | −0.222583 | + | 0.222583i | −0.809585 | − | 0.587002i | ||
0.587002 | + | 0.809585i | ||||||||
−6.27221 | + | 7.37580i | −0.853540 | + | 1.00372i | |||||
−1.66534 | + | 1.49219i | −0.224555 | + | 0.201207i | |||||
2.91342i | 0.389322i | |||||||||
7.03287 | − | 12.9751i | 0.931527 | − | 1.71859i | |||||
−3.97419 | − | 3.97419i | −0.521836 | − | 0.521836i | |||||
−5.16965 | −0.673032 | −0.336516 | − | 0.941678i | ||||||
−0.336516 | + | 0.941678i | ||||||||
5.54564 | − | 1.32138i | 0.715939 | − | 0.170590i | |||||
−3.39049 | −0.434108 | −0.217054 | − | 0.976160i | ||||||
−0.217054 | + | 0.976160i | ||||||||
6.60228 | + | 6.60228i | 0.838490 | + | 0.838490i | |||||
−8.69178 | − | 1.83450i | −1.09506 | − | 0.231126i | |||||
3.36529i | 0.420661i | |||||||||
0.0279950 | − | 0.510513i | 0.00347235 | − | 0.0633214i | |||||
3.09381 | − | 0.918834i | 0.380821 | − | 0.113101i | |||||
9.74916 | − | 9.74916i | 1.19105 | − | 1.19105i | 0.214276 | − | 0.976773i | ||
0.976773 | − | 0.214276i | ||||||||
4.96814 | − | 4.96814i | 0.602476 | − | 0.602476i | |||||
−7.39937 | + | 2.19755i | −0.890779 | + | 0.264554i | |||||
8.23310 | + | 9.18845i | 0.984044 | + | 1.09823i | |||||
− | 2.23272i | − | 0.264975i | −0.991185 | − | 0.132488i | ||||
0.991185 | − | 0.132488i | ||||||||
2.88808 | + | 0.609564i | 0.340363 | + | 0.0718378i | |||||
5.43376 | + | 5.43376i | 0.635973 | + | 0.635973i | 0.949560 | − | 0.313586i | ||
−0.313586 | + | 0.949560i | ||||||||
−12.4981 | −1.45287 | |||||||||
−4.93465 | + | 7.11683i | −0.569804 | + | 0.821780i | |||||
12.5423 | 1.43871 | |||||||||
2.09381 | + | 2.09381i | 0.238611 | + | 0.238611i | |||||
−0.351651 | + | 0.648767i | −0.0398167 | + | 0.0734585i | |||||
5.93637i | 0.667894i | 0.942592 | + | 0.333947i | ||||||
−0.942592 | + | 0.333947i | ||||||||
−7.12858 | − | 7.95576i | −0.796999 | − | 0.889480i | |||||
−3.63710 | + | 8.23235i | −0.404122 | + | 0.914705i | |||||
−5.92804 | + | 5.92804i | −0.654642 | + | 0.654642i | |||||
−0.365862 | + | 0.365862i | −0.0401586 | + | 0.0401586i | −0.726901 | − | 0.686742i | ||
0.686742 | + | 0.726901i | ||||||||
−2.14930 | − | 7.23692i | −0.234508 | − | 0.789613i | |||||
−0.584411 | + | 10.6572i | −0.0633883 | + | 1.15594i | |||||
0.885499i | 0.0954858i | |||||||||
−4.59307 | − | 2.48958i | −0.492429 | − | 0.266911i | |||||
−0.695724 | − | 0.695724i | −0.0741644 | − | 0.0741644i | |||||
3.70157 | 0.392366 | 0.196183 | − | 0.980567i | ||||||
0.196183 | + | 0.980567i | ||||||||
10.8311 | − | 6.23903i | 1.14170 | − | 0.657651i | |||||
−0.677057 | −0.0709749 | |||||||||
−4.63843 | − | 4.63843i | −0.483590 | − | 0.483590i | |||||
7.63043 | + | 4.13592i | 0.791239 | + | 0.428875i | |||||
16.2111i | 1.67204i | |||||||||
−14.1901 | + | 12.7147i | −1.45587 | + | 1.30450i | |||||
3.41914 | + | 11.5126i | 0.348965 | + | 1.17500i | |||||
4.94287 | − | 4.94287i | 0.501872 | − | 0.501872i | −0.410147 | − | 0.912019i | ||
0.912019 | + | 0.410147i | ||||||||
2.32951 | − | 2.32951i | 0.235317 | − | 0.235317i | |||||
2.51367 | − | 1.63751i | 0.252634 | − | 0.164576i | |||||
−7.31568 | − | 0.804760i | −0.731568 | − | 0.0804760i | |||||
− | 9.91691i | − | 0.986770i | −0.869811 | − | 0.493385i | ||||
0.869811 | − | 0.493385i | ||||||||
7.34092 | − | 13.5434i | 0.726860 | − | 1.34100i | |||||
−5.76598 | − | 5.76598i | −0.568139 | − | 0.568139i | 0.363468 | − | 0.931607i | ||
−0.931607 | + | 0.363468i | ||||||||
0.224971 | 0.0220602 | |||||||||
9.76804 | + | 6.00883i | 0.953263 | + | 0.586401i | |||||
−4.27004 | −0.414743 | |||||||||
−0.481439 | − | 0.481439i | −0.0465425 | − | 0.0465425i | 0.683453 | − | 0.729995i | ||
−0.729995 | + | 0.683453i | ||||||||
−7.62366 | + | 0.616456i | −0.733587 | + | 0.0593185i | |||||
2.88151i | 0.275999i | 0.990432 | + | 0.137999i | ||||||
−0.990432 | + | 0.137999i | ||||||||
−4.16026 | − | 0.228136i | −0.396665 | − | 0.0217519i | |||||
−11.1368 | + | 3.30754i | −1.05706 | + | 0.313938i | |||||
−10.0026 | + | 10.0026i | −0.945160 | + | 0.945160i | |||||
−5.89425 | + | 5.89425i | −0.554485 | + | 0.554485i | −0.927732 | − | 0.373247i | ||
0.373247 | + | 0.927732i | ||||||||
26.3618 | − | 7.82923i | 2.46901 | − | 0.733274i | |||||
9.94998 | + | 0.545627i | 0.927840 | + | 0.0508799i | |||||
− | 4.43989i | − | 0.412234i | |||||||
−0.141658 | + | 0.671168i | −0.0130963 | + | 0.0620495i | |||||
−6.81136 | − | 6.81136i | −0.627037 | − | 0.627037i | |||||
14.1339 | 1.29566 | |||||||||
−3.24570 | − | 1.99660i | −0.296290 | − | 0.182263i | |||||
−1.00000 | −0.0909091 | |||||||||
−4.46720 | − | 4.46720i | −0.404441 | − | 0.404441i | |||||
−3.71355 | + | 6.85119i | −0.334840 | + | 0.617751i | |||||
7.37595i | 0.662380i | |||||||||
9.09260 | − | 6.50574i | 0.813267 | − | 0.581891i | |||||
−9.03491 | − | 13.8691i | −0.804894 | − | 1.23556i | |||||
0.541796 | − | 0.541796i | 0.0480766 | − | 0.0480766i | −0.682660 | − | 0.730736i | ||
0.730736 | + | 0.682660i | ||||||||
5.37181 | − | 5.37181i | 0.474805 | − | 0.474805i | |||||
0.234342 | + | 0.789052i | 0.0206327 | + | 0.0694722i | |||||
0.709520 | − | 0.635750i | 0.0622290 | − | 0.0557589i | |||||
− | 20.1139i | − | 1.75736i | −0.477413 | − | 0.878679i | ||||
0.477413 | − | 0.878679i | ||||||||
2.24143 | + | 1.21492i | 0.195091 | + | 0.105745i | |||||
17.8410 | + | 17.8410i | 1.54701 | + | 1.54701i | |||||
25.6903 | 2.21931 | |||||||||
8.00029 | − | 8.42587i | 0.688555 | − | 0.725184i | |||||
−4.69639 | −0.402712 | |||||||||
10.8866 | + | 10.8866i | 0.930104 | + | 0.930104i | 0.997712 | − | 0.0676081i | ||
−0.0676081 | + | 0.997712i | ||||||||
−12.6446 | − | 6.85374i | −1.07638 | − | 0.583429i | |||||
− | 18.8256i | − | 1.59677i | −0.602150 | − | 0.798383i | ||||
0.602150 | − | 0.798383i | ||||||||
−0.533648 | + | 9.73153i | −0.0451015 | + | 0.822465i | |||||
4.29016 | + | 14.4454i | 0.361297 | + | 1.21652i | |||||
2.94176 | − | 2.94176i | 0.246867 | − | 0.246867i | |||||
0.161681 | − | 0.161681i | 0.0135204 | − | 0.0135204i | |||||
7.82282 | + | 12.0084i | 0.651901 | + | 1.00070i | |||||
4.50091 | + | 5.02318i | 0.373780 | + | 0.417153i | |||||
14.3187i | 1.18502i | |||||||||
1.45930 | − | 2.69228i | 0.120361 | − | 0.222056i | |||||
−6.98132 | − | 6.98132i | −0.573861 | − | 0.573861i | |||||
−18.1699 | −1.48854 | −0.744269 | − | 0.667880i | ||||||
−0.744269 | + | 0.667880i | ||||||||
−15.8786 | + | 2.87516i | −1.29648 | + | 0.234756i | |||||
−5.16859 | −0.420614 | −0.210307 | − | 0.977635i | ||||||
−0.210307 | + | 0.977635i | ||||||||
−5.92814 | − | 5.92814i | −0.480836 | − | 0.480836i | |||||
2.95719 | − | 14.0110i | 0.239075 | − | 1.13272i | |||||
5.51746i | 0.444609i | |||||||||
−7.47732 | − | 8.34497i | −0.600593 | − | 0.670284i | |||||
−0.558826 | + | 0.165966i | −0.0447419 | + | 0.0132880i | |||||
0.0693025 | − | 0.0693025i | 0.00553094 | − | 0.00553094i | −0.704336 | − | 0.709867i | ||
0.709867 | + | 0.704336i | ||||||||
−7.82156 | + | 7.82156i | −0.622250 | + | 0.622250i | |||||
−3.80496 | + | 1.13004i | −0.301753 | + | 0.0896181i | |||||
0.848935 | − | 15.4811i | 0.0671142 | − | 1.22389i | |||||
− | 13.1959i | − | 1.03999i | |||||||
−15.6388 | + | 6.05455i | −1.22870 | + | 0.475690i | |||||
−12.4108 | − | 12.4108i | −0.972090 | − | 0.972090i | 0.0275308 | − | 0.999621i | ||
−0.999621 | + | 0.0275308i | ||||||||
−6.62270 | −0.517146 | |||||||||
−3.76751 | + | 0.897700i | −0.293300 | + | 0.0698858i | |||||
−0.964095 | −0.0748283 | |||||||||
−5.06115 | − | 5.06115i | −0.391644 | − | 0.391644i | 0.483629 | − | 0.875273i | ||
−0.875273 | + | 0.483629i | ||||||||
−2.40466 | + | 4.43640i | −0.185524 | + | 0.342276i | |||||
− | 12.9477i | − | 0.995978i | |||||||
−14.8116 | + | 13.2716i | −1.13600 | + | 1.01789i | |||||
21.4186 | − | 13.9530i | 1.63792 | − | 1.06701i | |||||
−0.494632 | + | 0.494632i | −0.0377153 | + | 0.0377153i | |||||
−10.2684 | + | 10.2684i | −0.780694 | + | 0.780694i | −0.979948 | − | 0.199253i | ||
0.199253 | + | 0.979948i | ||||||||
−2.77149 | − | 9.33187i | −0.210106 | − | 0.707447i | |||||
−9.26152 | − | 11.5510i | −0.700105 | − | 0.873173i | |||||
− | 4.77725i | − | 0.360099i | |||||||
−7.87207 | − | 4.26690i | −0.591701 | − | 0.320720i | |||||
4.87707 | + | 4.87707i | 0.365552 | + | 0.365552i | |||||
12.8332 | 0.959200 | 0.479600 | − | 0.877487i | ||||||
0.479600 | + | 0.877487i | ||||||||
9.53523 | + | 2.56510i | 0.710714 | + | 0.191191i | |||||
18.9492 | 1.40848 | 0.704242 | − | 0.709960i | ||||||
0.704242 | + | 0.709960i | ||||||||
−0.892068 | − | 0.892068i | −0.0661245 | − | 0.0661245i | |||||
−5.16286 | − | 2.79843i | −0.381650 | − | 0.206866i | |||||
4.38471i | 0.323245i | |||||||||
14.9758 | + | 0.821225i | 1.10104 | + | 0.0603777i | |||||
4.60425 | + | 15.5030i | 0.337600 | + | 1.13673i | |||||
−3.37518 | + | 3.37518i | −0.246818 | + | 0.246818i | |||||
−9.05537 | + | 9.05537i | −0.660430 | + | 0.660430i | |||||
−11.7212 | − | 9.96746i | −0.852593 | − | 0.725026i | |||||
−35.4489 | − | 1.94391i | −2.57173 | − | 0.141026i | |||||
− | 15.8333i | − | 1.14566i | −0.819675 | − | 0.572829i | ||||
0.819675 | − | 0.572829i | ||||||||
−2.77762 | + | 5.12448i | −0.200458 | + | 0.369827i | |||||
7.37312 | + | 7.37312i | 0.530729 | + | 0.530729i | 0.920789 | − | 0.390061i | ||
−0.390061 | + | 0.920789i | ||||||||
13.0251 | 0.935149 | |||||||||
0.463994 | − | 0.754276i | 0.0332273 | − | 0.0540148i | |||||
2.60249 | 0.185892 | |||||||||
9.03516 | + | 9.03516i | 0.643728 | + | 0.643728i | 0.951470 | − | 0.307742i | ||
−0.307742 | + | 0.951470i | ||||||||
5.46946 | + | 1.15440i | 0.388698 | + | 0.0820394i | |||||
11.0729i | 0.784936i | 0.919766 | + | 0.392468i | ||||||
−0.919766 | + | 0.392468i | ||||||||
3.07739 | + | 3.83813i | 0.217604 | + | 0.271397i | |||||
22.8922 | − | 6.79879i | 1.61469 | − | 0.479550i | |||||
13.0662 | − | 13.0662i | 0.919334 | − | 0.919334i | |||||
6.31556 | − | 6.31556i | 0.443266 | − | 0.443266i | |||||
11.6658 | − | 3.46464i | 0.816769 | − | 0.242574i | |||||
7.49276 | − | 6.71372i | 0.523317 | − | 0.468906i | |||||
− | 15.1941i | − | 1.05862i | |||||||
−13.0812 | − | 2.76094i | −0.909204 | − | 0.191898i | |||||
0.772391 | + | 0.772391i | 0.0535557 | + | 0.0535557i | |||||
−8.52083 | −0.589398 | |||||||||
4.95302 | + | 20.7871i | 0.341791 | + | 1.43444i | |||||
−2.45739 | −0.169174 | −0.0845869 | − | 0.996416i | ||||||
−0.0845869 | + | 0.996416i | ||||||||
−2.38521 | − | 2.38521i | −0.163817 | − | 0.163817i | |||||
1.84283 | − | 3.39987i | 0.126269 | − | 0.232955i | |||||
− | 1.26866i | − | 0.0867235i | |||||||
0.0581844 | − | 1.06104i | 0.00396815 | − | 0.0723626i | |||||
3.89469 | + | 3.31196i | 0.265000 | + | 0.225350i | |||||
−10.4920 | + | 10.4920i | −0.712242 | + | 0.712242i | |||||
−3.79658 | + | 3.79658i | −0.257137 | + | 0.257137i | |||||
3.78935 | + | 12.7591i | 0.256061 | + | 0.862181i | |||||
−2.19645 | − | 2.45132i | −0.148085 | − | 0.165268i | |||||
− | 1.09141i | − | 0.0734159i | |||||||
−19.0314 | − | 10.3156i | −1.27730 | − | 0.692337i | |||||
−2.72361 | − | 2.72361i | −0.182386 | − | 0.182386i | 0.610009 | − | 0.792395i | ||
−0.792395 | + | 0.610009i | ||||||||
−20.5314 | −1.37181 | |||||||||
−13.3883 | + | 6.76419i | −0.892551 | + | 0.450946i | |||||
−15.5321 | −1.03318 | |||||||||
20.3476 | + | 20.3476i | 1.35052 | + | 1.35052i | 0.885084 | + | 0.465431i | ||
0.465431 | + | 0.885084i | ||||||||
19.0988 | + | 10.3521i | 1.26485 | + | 0.685586i | |||||
12.4003i | 0.819433i | 0.912213 | + | 0.409716i | ||||||
−0.912213 | + | 0.409716i | ||||||||
12.3909 | + | 13.8287i | 0.817029 | + | 0.911835i | |||||
1.46016 | + | 4.91651i | 0.0960716 | + | 0.323483i | |||||
−2.09852 | + | 2.09852i | −0.137774 | + | 0.137774i | |||||
−1.83100 | + | 1.83100i | −0.119953 | + | 0.119953i | −0.764535 | − | 0.644582i | ||
0.644582 | + | 0.764535i | ||||||||
−1.07095 | + | 0.697664i | −0.0700103 | + | 0.0456077i | |||||
1.06520 | − | 19.4248i | 0.0694859 | − | 1.26714i | |||||
− | 7.60954i | − | 0.495339i | |||||||
−4.89973 | + | 9.03958i | −0.318271 | + | 0.587184i | |||||
18.6224 | + | 18.6224i | 1.20711 | + | 1.20711i | |||||
20.2577 | 1.31036 | 0.655182 | − | 0.755471i | ||||||
0.655182 | + | 0.755471i | ||||||||
−4.28854 | − | 17.9983i | −0.276824 | − | 1.16179i | |||||
2.30059 | 0.148194 | 0.0740971 | − | 0.997251i | ||||||
0.0740971 | + | 0.997251i | ||||||||
−1.31757 | − | 1.31757i | −0.0846964 | − | 0.0846964i | |||||
−12.3331 | + | 9.53381i | −0.791171 | + | 0.611594i | |||||
− | 4.99068i | − | 0.319496i | |||||||
−2.94440 | + | 2.63826i | −0.188111 | + | 0.168552i | |||||
−13.9197 | + | 4.13405i | −0.887491 | + | 0.263577i | |||||
1.37766 | − | 1.37766i | 0.0876581 | − | 0.0876581i | |||||
3.48625 | − | 3.48625i | 0.221377 | − | 0.221377i | |||||
−0.859089 | + | 0.255142i | −0.0544425 | + | 0.0161690i | |||||
20.5518 | + | 3.40836i | 1.29981 | + | 0.215564i | |||||
27.0577i | 1.70786i | 0.520384 | + | 0.853932i | ||||||
−0.520384 | + | 0.853932i | ||||||||
2.70032 | − | 12.7940i | 0.170104 | − | 0.805945i | |||||
3.15119 | + | 3.15119i | 0.198113 | + | 0.198113i | |||||
1.42770 | 0.0895821 | |||||||||
−9.68613 | + | 15.7459i | −0.606569 | + | 0.986048i | |||||
20.8860 | 1.30537 | |||||||||
−14.3843 | − | 14.3843i | −0.897267 | − | 0.897267i | 0.0979266 | − | 0.995194i | ||
−0.995194 | + | 0.0979266i | ||||||||
−0.730868 | + | 1.34839i | −0.0455018 | + | 0.0839471i | |||||
− | 19.8613i | − | 1.23412i | |||||||
0.751456 | + | 0.0412076i | 0.0466033 | + | 0.00255559i | |||||
−4.93925 | − | 7.58201i | −0.305732 | − | 0.469315i | |||||
26.5014 | − | 26.5014i | 1.63726 | − | 1.63726i | |||||
1.11325 | − | 1.11325i | 0.0686457 | − | 0.0686457i | −0.671950 | − | 0.740596i | ||
0.740596 | + | 0.671950i | ||||||||
−0.485178 | − | 1.63364i | −0.0298607 | − | 0.100544i | |||||
5.11656 | + | 0.280577i | 0.314308 | + | 0.0172357i | |||||
47.0133i | 2.88257i | |||||||||
5.63656 | + | 3.05518i | 0.344952 | + | 0.186974i | |||||
14.3504 | + | 14.3504i | 0.876590 | + | 0.876590i | |||||
3.23597 | 0.197301 | 0.0986504 | − | 0.995122i | ||||||
0.0986504 | + | 0.995122i | ||||||||
21.6426 | − | 0.560737i | 1.31712 | − | 0.0341253i | |||||
−17.4114 | −1.05766 | −0.528832 | − | 0.848726i | ||||||
−0.528832 | + | 0.848726i | ||||||||
−16.1241 | − | 16.1241i | −0.977666 | − | 0.977666i | |||||
−1.03099 | − | 0.558826i | −0.0623981 | − | 0.0338217i | |||||
28.6876i | 1.73308i | |||||||||
4.97002 | + | 0.546726i | 0.299703 | + | 0.0329688i | |||||
−3.23471 | − | 10.8916i | −0.194707 | − | 0.655597i | |||||
−11.1533 | + | 11.1533i | −0.670138 | + | 0.670138i | −0.957748 | − | 0.287610i | ||
0.287610 | + | 0.957748i | ||||||||
24.8040 | − | 24.8040i | 1.48764 | − | 1.48764i | |||||
8.20553 | + | 12.5959i | 0.491252 | + | 0.754098i | |||||
4.85184 | − | 4.34738i | 0.289953 | − | 0.259806i | |||||
25.9907i | 1.55048i | 0.631670 | + | 0.775238i | ||||||
−0.631670 | + | 0.775238i | ||||||||
−13.3802 | + | 24.6853i | −0.796779 | + | 1.46999i | |||||
13.9756 | + | 13.9756i | 0.830762 | + | 0.830762i | 0.987621 | − | 0.156859i | ||
−0.156859 | + | 0.987621i | ||||||||
3.28648 | 0.195017 | |||||||||
−32.1023 | + | 7.64915i | −1.90158 | + | 0.453096i | |||||
0.426051 | 0.0251929 | |||||||||
−9.42052 | − | 9.42052i | −0.556076 | − | 0.556076i | |||||
−4.29571 | + | 20.3528i | −0.253127 | + | 1.19930i | |||||
5.78370i | 0.340217i | |||||||||
−0.688129 | + | 12.5486i | −0.0404083 | + | 0.736881i | |||||
11.6065 | − | 3.44702i | 0.680382 | − | 0.202068i | |||||
−7.99829 | + | 7.99829i | −0.468064 | + | 0.468064i | |||||
14.6351 | − | 14.6351i | 0.854994 | − | 0.854994i | −0.135749 | − | 0.990743i | ||
0.990743 | + | 0.135749i | ||||||||
5.46998 | − | 1.62454i | 0.319016 | − | 0.0947450i | |||||
7.71412 | + | 8.60924i | 0.449133 | + | 0.501249i | |||||
6.59945i | 0.383585i | |||||||||
5.17925 | − | 0.418798i | 0.300530 | − | 0.0243011i | |||||
−23.9401 | − | 23.9401i | −1.38681 | − | 1.38681i | |||||
−1.01897 | −0.0589288 | |||||||||
−10.4757 | − | 7.26362i | −0.604815 | − | 0.419366i | |||||
−1.40719 | −0.0811089 | |||||||||
−6.80996 | − | 6.80996i | −0.391869 | − | 0.391869i | |||||
8.18517 | − | 15.1009i | 0.470226 | − | 0.867527i | |||||
− | 40.7061i | − | 2.33466i | |||||||
5.05927 | + | 5.64633i | 0.289693 | + | 0.323308i | |||||
22.3567 | − | 14.5641i | 1.27805 | − | 0.832576i | |||||
−0.137152 | + | 0.137152i | −0.00782767 | + | 0.00782767i | −0.711010 | − | 0.703182i | ||
0.703182 | + | 0.711010i | ||||||||
−3.08200 | + | 3.08200i | −0.175613 | + | 0.175613i | |||||
−4.02103 | − | 13.5392i | −0.228749 | − | 0.770219i | |||||
1.14318 | − | 20.8469i | 0.0649284 | − | 1.18403i | |||||
− | 18.1688i | − | 1.03026i | −0.857113 | − | 0.515128i | ||||
0.857113 | − | 0.515128i | ||||||||
0.342573 | + | 0.185685i | 0.0193944 | + | 0.0105123i | |||||
−15.5417 | − | 15.5417i | −0.878466 | − | 0.878466i | 0.114910 | − | 0.993376i | ||
−0.993376 | + | 0.114910i | ||||||||
0.182621 | 0.0103059 | |||||||||
9.91472 | + | 17.2122i | 0.558631 | + | 0.969798i | |||||
−8.73811 | −0.491557 | |||||||||
0.878898 | + | 0.878898i | 0.0493638 | + | 0.0493638i | 0.731358 | − | 0.681994i | ||
−0.681994 | + | 0.731358i | ||||||||
−6.50220 | − | 3.52439i | −0.364625 | − | 0.197638i | |||||
3.01631i | 0.168881i | |||||||||
5.60435 | − | 5.02165i | 0.313293 | − | 0.280719i | |||||
−0.335742 | − | 1.13048i | −0.0187393 | − | 0.0630971i | |||||
17.3865 | − | 17.3865i | 0.968914 | − | 0.968914i | |||||
−28.7593 | + | 28.7593i | −1.60021 | + | 1.60021i | |||||
−12.1177 | − | 5.35367i | −0.673206 | − | 0.297426i | |||||
−0.891953 | + | 0.715162i | −0.0494766 | + | 0.0396701i | |||||
− | 32.7042i | − | 1.81132i | |||||||
−2.37833 | + | 4.38781i | −0.131522 | + | 0.242646i | |||||
3.13022 | + | 3.13022i | 0.172838 | + | 0.172838i | |||||
−25.7618 | −1.42029 | |||||||||
−6.14672 | − | 3.78117i | −0.338366 | − | 0.208146i | |||||
−1.81586 | −0.0998088 | −0.0499044 | − | 0.998754i | ||||||
−0.0499044 | + | 0.998754i | ||||||||
−0.538536 | − | 0.538536i | −0.0295560 | − | 0.0295560i | |||||
−19.6885 | − | 4.15550i | −1.07892 | − | 0.227720i | |||||
− | 13.3368i | − | 0.729757i | |||||||
−30.7833 | − | 1.68806i | −1.68187 | − | 0.0922287i | |||||
−23.4874 | + | 6.97556i | −1.28134 | + | 0.380548i | |||||
−0.824320 | + | 0.824320i | −0.0449036 | + | 0.0449036i | −0.729202 | − | 0.684298i | ||
0.684298 | + | 0.729202i | ||||||||
17.0595 | − | 17.0595i | 0.927913 | − | 0.927913i | |||||
−13.8404 | + | 4.11049i | −0.751708 | + | 0.223251i | |||||
−15.6871 | − | 0.860232i | −0.850751 | − | 0.0466526i | |||||
− | 5.01096i | − | 0.271359i | |||||||
46.6044 | + | 9.83641i | 2.52008 | + | 0.531892i | |||||
−10.9547 | − | 10.9547i | −0.591498 | − | 0.591498i | |||||
0.467576 | 0.0252100 | |||||||||
14.7009 | + | 9.04331i | 0.791472 | + | 0.486875i | |||||
−27.0587 | −1.45468 | |||||||||
−10.0480 | − | 10.0480i | −0.539406 | − | 0.539406i | 0.383949 | − | 0.923354i | ||
−0.923354 | + | 0.383949i | ||||||||
3.66457 | − | 6.76083i | 0.196442 | − | 0.362419i | |||||
− | 1.50331i | − | 0.0804702i | −0.999190 | − | 0.0402351i | ||||
0.999190 | − | 0.0402351i | ||||||||
3.01653 | − | 27.4219i | 0.161241 | − | 1.46576i | |||||
−0.769674 | + | 0.905098i | −0.0410822 | + | 0.0483105i | |||||
4.90290 | − | 4.90290i | 0.261325 | − | 0.261325i | |||||
10.4384 | − | 10.4384i | 0.555578 | − | 0.555578i | −0.372467 | − | 0.928045i | ||
0.928045 | + | 0.372467i | ||||||||
−4.75005 | − | 15.9939i | −0.252463 | − | 0.850066i | |||||
−3.71824 | + | 3.33165i | −0.197344 | + | 0.176825i | |||||
5.44858i | 0.288774i | |||||||||
21.5224 | + | 11.6658i | 1.13909 | + | 0.617419i | |||||
16.9086 | + | 16.9086i | 0.893649 | + | 0.893649i | |||||
−14.3901 | −0.759480 | −0.379740 | − | 0.925093i | ||||||
−0.379740 | + | 0.925093i | ||||||||
−3.29444 | − | 5.71923i | −0.173632 | − | 0.301430i | |||||
−53.6045 | −2.82129 | |||||||||
24.9669 | + | 24.9669i | 1.31223 | + | 1.31223i | |||||
−1.52275 | − | 0.825374i | −0.0799235 | − | 0.0433209i | |||||
− | 0.996603i | − | 0.0522362i | |||||||
0.940853 | − | 17.1573i | 0.0492465 | − | 0.898053i | |||||
−3.11530 | − | 10.4895i | −0.162839 | − | 0.548296i | |||||
−23.9839 | + | 23.9839i | −1.25195 | + | 1.25195i | −0.297104 | + | 0.954845i | ||
−0.954845 | + | 0.297104i | ||||||||
−15.0540 | + | 15.0540i | −0.784744 | + | 0.784744i | |||||
−11.3096 | + | 7.36756i | −0.588754 | + | 0.383540i | |||||
18.6495 | + | 20.8136i | 0.969543 | + | 1.08205i | |||||
− | 6.78572i | − | 0.352297i | |||||||
−6.08792 | + | 11.2317i | −0.315644 | + | 0.582337i | |||||
−16.6266 | − | 16.6266i | −0.860894 | − | 0.860894i | 0.130548 | − | 0.991442i | ||
−0.991442 | + | 0.130548i | ||||||||
−8.89405 | −0.459900 | |||||||||
19.2154 | − | 2.40179i | 0.992279 | − | 0.124028i | |||||
8.56004 | 0.441451 | |||||||||
−0.487680 | − | 0.487680i | −0.0251168 | − | 0.0251168i | |||||
−2.31070 | − | 28.5763i | −0.118850 | − | 1.46980i | |||||
27.3979i | 1.40733i | 0.710530 | + | 0.703667i | ||||||
−0.710530 | + | 0.703667i | ||||||||
−18.7156 | − | 20.8873i | −0.960089 | − | 1.07150i | |||||
1.27220 | − | 0.377833i | 0.0651769 | − | 0.0193570i | |||||
20.8615 | − | 20.8615i | 1.06736 | − | 1.06736i | |||||
17.6188 | − | 17.6188i | 0.900277 | − | 0.900277i | −0.0951829 | − | 0.995460i | ||
0.995460 | + | 0.0951829i | ||||||||
12.6137 | − | 3.74615i | 0.643688 | − | 0.191170i | |||||
0.362542 | − | 6.61126i | 0.0184768 | − | 0.336941i | |||||
19.4291i | 0.988917i | |||||||||
−0.294420 | + | 1.39495i | −0.0149662 | + | 0.0709091i | |||||
7.27572 | + | 7.27572i | 0.369369 | + | 0.369369i | |||||
19.7634 | 1.00204 | 0.501022 | − | 0.865434i | ||||||
0.501022 | + | 0.865434i | ||||||||
1.60515 | − | 0.382466i | 0.0812800 | − | 0.0193669i | |||||
21.2716 | 1.07575 | |||||||||
−1.23007 | − | 1.23007i | −0.0621279 | − | 0.0621279i | |||||
16.6015 | − | 30.6283i | 0.837434 | − | 1.54500i | |||||
23.8088i | 1.19947i | |||||||||
9.88608 | − | 8.85820i | 0.497423 | − | 0.445705i | |||||
2.41036 | + | 3.70003i | 0.121125 | + | 0.185934i | |||||
−1.41299 | + | 1.41299i | −0.0709160 | + | 0.0709160i | −0.741675 | − | 0.670759i | ||
0.670759 | + | 0.741675i | ||||||||
−14.5893 | + | 14.5893i | −0.731294 | + | 0.731294i | |||||
12.4418 | + | 41.8927i | 0.622868 | + | 2.09726i | |||||
−2.61185 | + | 23.7430i | −0.130592 | + | 1.18715i | |||||
24.4929i | 1.22312i | 0.791199 | + | 0.611559i | ||||||
−0.791199 | + | 0.611559i | ||||||||
39.1199 | + | 21.2041i | 1.95112 | + | 1.05757i | |||||
0.810178 | + | 0.810178i | 0.0403578 | + | 0.0403578i | |||||
14.5973 | 0.726244 | |||||||||
19.1369 | − | 6.22724i | 0.950921 | − | 0.309434i | |||||
16.6423 | 0.825946 | |||||||||
4.74287 | + | 4.74287i | 0.235095 | + | 0.235095i | |||||
−7.15141 | − | 3.87628i | −0.354048 | − | 0.191904i | |||||
− | 22.4416i | − | 1.10966i | −0.831962 | − | 0.554832i | ||||
0.831962 | − | 0.554832i | ||||||||
18.7180 | + | 1.02644i | 0.924415 | + | 0.0506921i | |||||
7.59200 | + | 25.5630i | 0.374486 | + | 1.26093i | |||||
8.48731 | − | 8.48731i | 0.418140 | − | 0.418140i | |||||
10.8242 | − | 10.8242i | 0.532626 | − | 0.532626i | |||||
−13.5976 | − | 20.8730i | −0.668285 | − | 1.02585i | |||||
1.15522 | + | 0.0633489i | 0.0567076 | + | 0.00310967i | |||||
1.58541i | 0.0777312i | |||||||||
15.5382 | − | 28.6666i | 0.760907 | − | 1.40381i | |||||
−11.2268 | − | 11.2268i | −0.549119 | − | 0.549119i | |||||
2.45688 | 0.120027 | 0.0600133 | − | 0.998198i | ||||||
0.0600133 | + | 0.998198i | ||||||||
−8.84477 | + | 14.3782i | −0.431580 | + | 0.701584i | |||||
−0.919497 | −0.0448135 | −0.0224068 | − | 0.999749i | ||||||
−0.0224068 | + | 0.999749i | ||||||||
−3.23778 | − | 3.23778i | −0.157612 | − | 0.157612i | |||||
−5.39003 | + | 25.5377i | −0.262072 | + | 1.24168i | |||||
2.25474i | 0.109500i | |||||||||
18.6200 | − | 14.9294i | 0.903203 | − | 0.724183i | |||||
6.90760 | − | 2.05150i | 0.334674 | − | 0.0993955i | |||||
7.09903 | − | 7.09903i | 0.343546 | − | 0.343546i | |||||
0.708660 | − | 0.708660i | 0.0342544 | − | 0.0342544i | |||||
0.379646 | − | 0.112752i | 0.0183295 | − | 0.00544371i | |||||
1.47466 | − | 1.32133i | 0.0711143 | − | 0.0637204i | |||||
− | 14.3343i | − | 0.690458i | −0.938518 | − | 0.345229i | ||||
0.938518 | − | 0.345229i | ||||||||
2.00070 | + | 24.7426i | 0.0962589 | + | 1.19043i | |||||
−2.60099 | − | 2.60099i | −0.124995 | − | 0.124995i | 0.641842 | − | 0.766837i | ||
−0.766837 | + | 0.641842i | ||||||||
−27.6478 | −1.32714 | |||||||||
2.70774 | + | 11.3640i | 0.129826 | + | 0.544861i | |||||
−4.24148 | −0.203130 | |||||||||
26.8507 | + | 26.8507i | 1.28444 | + | 1.28444i | |||||
−11.8183 | + | 21.8037i | −0.564699 | + | 1.04182i | |||||
− | 10.0523i | − | 0.479772i | −0.970801 | − | 0.239886i | ||||
0.970801 | − | 0.239886i | ||||||||
−0.120464 | + | 2.19677i | −0.00574291 | + | 0.104727i | |||||
4.44428 | − | 2.89520i | 0.211632 | − | 0.137866i | |||||
1.43800 | − | 1.43800i | 0.0683986 | − | 0.0683986i | |||||
−10.7107 | + | 10.7107i | −0.508879 | + | 0.508879i | −0.914182 | − | 0.405303i | ||
0.405303 | + | 0.914182i | ||||||||
−4.86858 | − | 16.3930i | −0.231053 | − | 0.777977i | |||||
−5.52346 | − | 6.16438i | −0.261837 | − | 0.292220i | |||||
− | 7.17706i | − | 0.339844i | |||||||
−27.6682 | − | 14.9970i | −1.30866 | − | 0.709333i | |||||
−7.04626 | − | 7.04626i | −0.332904 | − | 0.332904i | |||||
−25.8564 | −1.22024 | −0.610120 | − | 0.792309i | ||||||
−0.610120 | + | 0.792309i | ||||||||
−26.5522 | − | 8.72767i | −1.25168 | − | 0.411426i | |||||
4.49923 | 0.211861 | |||||||||
−8.67612 | − | 8.67612i | −0.408090 | − | 0.408090i | |||||
−7.87045 | − | 4.26602i | −0.369786 | − | 0.200435i | |||||
53.6185i | 2.51644i | |||||||||
1.01030 | + | 1.12753i | 0.0473636 | + | 0.0528595i | |||||
−4.13412 | − | 13.9200i | −0.193598 | − | 0.651864i | |||||
−13.9683 | + | 13.9683i | −0.653409 | + | 0.653409i | −0.953812 | − | 0.300403i | ||
0.300403 | + | 0.953812i | ||||||||
−16.3382 | + | 16.3382i | −0.763433 | + | 0.763433i | |||||
16.0674 | − | 18.8944i | 0.749961 | − | 0.881916i | |||||
−0.803142 | + | 14.6460i | −0.0374467 | + | 0.682873i | |||||
− | 0.0529299i | − | 0.00246519i | −0.999999 | − | 0.00123260i | ||||
0.999999 | − | 0.00123260i | ||||||||
−4.55397 | + | 8.40169i | −0.211870 | + | 0.390882i | |||||
2.46604 | + | 2.46604i | 0.114607 | + | 0.114607i | 0.762084 | − | 0.647478i | ||
−0.647478 | + | 0.762084i | ||||||||
−14.4097 | −0.668952 | |||||||||
−4.49834 | − | 18.8789i | −0.208606 | − | 0.875486i | |||||
−4.82492 | −0.223510 | |||||||||
−13.3103 | − | 13.3103i | −0.615928 | − | 0.615928i | 0.328557 | − | 0.944484i | ||
−0.944484 | + | 0.328557i | ||||||||
−0.987934 | − | 0.208515i | −0.0456673 | − | 0.00963863i | |||||
40.8257i | 1.88515i | |||||||||
26.9970 | − | 24.1900i | 1.24528 | − | 1.11580i | |||||
0.162731 | − | 0.0483296i | 0.00749823 | − | 0.00222691i | |||||
−3.59665 | + | 3.59665i | −0.165549 | + | 0.165549i | |||||
0.336036 | − | 0.336036i | 0.0154509 | − | 0.0154509i | |||||
−18.3660 | + | 5.45454i | −0.843577 | + | 0.250535i | |||||
42.3487 | + | 4.65855i | 1.94309 | + | 0.213749i | |||||
20.8046i | 0.953579i | |||||||||
−6.72670 | − | 1.41975i | −0.307994 | − | 0.0650059i | |||||
26.6909 | + | 26.6909i | 1.22081 | + | 1.22081i | |||||
15.7954 | 0.721710 | 0.360855 | − | 0.932622i | ||||||
0.360855 | + | 0.932622i | ||||||||
14.0704 | − | 22.8731i | 0.642222 | − | 1.04401i | |||||
−1.53366 | −0.0699290 | |||||||||
3.03119 | + | 3.03119i | 0.138067 | + | 0.138067i | |||||
10.8916 | − | 20.0941i | 0.495585 | − | 0.914312i | |||||
− | 1.47196i | − | 0.0669074i | |||||||
−15.6073 | − | 0.855855i | −0.708690 | − | 0.0388624i | |||||
−28.8112 | − | 3.68830i | −1.30690 | − | 0.167305i | |||||
19.8992 | − | 19.8992i | 0.901717 | − | 0.901717i | −0.0938674 | − | 0.995585i | ||
0.995585 | + | 0.0938674i | ||||||||
−2.35885 | + | 2.35885i | −0.106780 | + | 0.106780i | |||||
−8.65496 | − | 29.1421i | −0.391391 | − | 1.31785i | |||||
−7.35552 | − | 0.403354i | −0.332289 | − | 0.0182217i | |||||
15.0149i | 0.677611i | 0.940856 | + | 0.338806i | ||||||
−0.940856 | + | 0.338806i | ||||||||
−10.0847 | − | 5.46621i | −0.454653 | − | 0.246436i | |||||
10.1806 | + | 10.1806i | 0.458510 | + | 0.458510i | |||||
3.63031 | 0.163335 | |||||||||
−6.47790 | − | 1.74264i | −0.291160 | − | 0.0783257i | |||||
23.9386 | 1.07488 | |||||||||
4.67488 | + | 4.67488i | 0.209697 | + | 0.209697i | |||||
−1.46807 | − | 0.795740i | −0.0657859 | − | 0.0356580i | |||||
5.53151i | 0.247625i | 0.992306 | + | 0.123812i | ||||||
−0.992306 | + | 0.123812i | ||||||||
9.57621 | + | 13.3840i | 0.428261 | + | 0.598549i | |||||
−3.52950 | − | 11.8842i | −0.157687 | − | 0.530947i | |||||
−35.6503 | + | 35.6503i | −1.59115 | + | 1.59115i | |||||
−29.2941 | + | 29.2941i | −1.30616 | + | 1.30616i | −0.381993 | + | 0.924165i | ||
−0.924165 | + | 0.381993i | ||||||||
−7.32339 | + | 4.77077i | −0.326210 | + | 0.212507i | |||||
−16.5150 | + | 14.7979i | −0.734910 | + | 0.658500i | |||||
8.30379i | 0.369149i | |||||||||
10.6867 | − | 19.7161i | 0.474614 | − | 0.875622i | |||||
0.797503 | + | 0.797503i | 0.0353835 | + | 0.0353835i | |||||
−12.2904 | −0.544763 | −0.272382 | − | 0.962189i | ||||||
−0.272382 | + | 0.962189i | ||||||||
−33.5084 | + | 7.98419i | −1.48378 | + | 0.353546i | |||||
−22.7545 | −1.00660 | |||||||||
16.7751 | + | 16.7751i | 0.741361 | + | 0.741361i | |||||
44.1315 | − | 3.56851i | 1.94845 | − | 0.157553i | |||||
− | 37.9045i | − | 1.67190i | |||||||
−0.998377 | + | 18.2063i | −0.0439937 | + | 0.802264i | |||||
−1.16146 | + | 0.344943i | −0.0511302 | + | 0.0151852i | |||||
6.15190 | − | 6.15190i | 0.270560 | − | 0.270560i | |||||
26.1686 | − | 26.1686i | 1.14978 | − | 1.14978i | |||||
−24.1115 | + | 7.16092i | −1.05838 | + | 0.314329i | |||||
−0.335699 | − | 0.374653i | −0.0147214 | − | 0.0164296i | |||||
− | 9.03181i | − | 0.395691i | −0.980233 | − | 0.197845i | ||||
0.980233 | − | 0.197845i | ||||||||
3.48201 | − | 16.4976i | 0.152404 | − | 0.722080i | |||||
−3.54962 | − | 3.54962i | −0.155214 | − | 0.155214i | 0.625228 | − | 0.780442i | ||
−0.780442 | + | 0.625228i | ||||||||
29.6069 | 1.29338 | |||||||||
−4.56905 | − | 25.2335i | −0.199410 | − | 1.10128i | |||||
2.93355 | 0.127909 | |||||||||
−16.9129 | − | 16.9129i | −0.736738 | − | 0.736738i | |||||
3.94302 | − | 7.27454i | 0.171598 | − | 0.316584i | |||||
3.14005i | 0.136524i | |||||||||
6.37173 | + | 7.11108i | 0.276770 | + | 0.308886i | |||||
−8.46538 | − | 12.9948i | −0.367366 | − | 0.563927i | |||||
−26.2612 | + | 26.2612i | −1.13857 | + | 1.13857i | |||||
−0.727440 | + | 0.727440i | −0.0315089 | + | 0.0315089i | |||||
3.40113 | + | 11.4519i | 0.147181 | + | 0.495574i | |||||
−0.0833609 | + | 1.52016i | −0.00360401 | + | 0.0657222i | |||||
− | 13.5654i | − | 0.585938i | |||||||
19.5417 | + | 10.5922i | 0.843289 | + | 0.457088i | |||||
4.26361 | + | 4.26361i | 0.183817 | + | 0.183817i | |||||
−1.76804 | −0.0761550 | |||||||||
12.4026 | + | 11.7761i | 0.533722 | + | 0.506764i | |||||
6.29034 | 0.270443 | 0.135221 | − | 0.990815i | ||||||
0.135221 | + | 0.990815i | ||||||||
−22.9406 | − | 22.9406i | −0.985384 | − | 0.985384i | |||||
28.8549 | + | 15.6402i | 1.23828 | + | 0.671185i | |||||
− | 33.0963i | − | 1.41899i | |||||||
4.79870 | − | 4.29977i | 0.205554 | − | 0.184182i | |||||
−0.622103 | − | 2.09468i | −0.0266236 | − | 0.0896441i | |||||
10.6433 | − | 10.6433i | 0.455076 | − | 0.455076i | −0.441959 | − | 0.897035i | ||
0.897035 | + | 0.441959i | ||||||||
−16.0247 | + | 16.0247i | −0.684539 | + | 0.684539i | |||||
−5.55198 | − | 8.52259i | −0.236953 | − | 0.363735i | |||||
5.82798 | + | 7.26868i | 0.248506 | + | 0.309937i | |||||
25.7014i | 1.09492i | |||||||||
−3.61903 | + | 6.67680i | −0.154036 | + | 0.284184i | |||||
−12.4296 | − | 12.4296i | −0.528560 | − | 0.528560i | |||||
−29.3905 | −1.24868 | |||||||||
22.1265 | + | 13.6111i | 0.939216 | + | 0.577760i | |||||
27.7106 | 1.17519 | |||||||||
7.68611 | + | 7.68611i | 0.325671 | + | 0.325671i | 0.850938 | − | 0.525267i | ||
−0.525267 | + | 0.850938i | ||||||||
−5.78464 | + | 27.4073i | −0.244883 | + | 1.16024i | |||||
0.108661i | 0.00459588i | |||||||||
31.5837 | + | 1.73195i | 1.33465 | + | 0.0731883i | |||||
−7.92533 | + | 2.35376i | −0.334608 | + | 0.0993757i | |||||
−34.2445 | + | 34.2445i | −1.44452 | + | 1.44452i | |||||
−0.0543618 | + | 0.0543618i | −0.00229108 | + | 0.00229108i | −0.708251 | − | 0.705960i | ||
0.705960 | + | 0.708251i | ||||||||
−21.2631 | + | 6.31496i | −0.895338 | + | 0.265908i | |||||
18.6113 | + | 1.02059i | 0.782983 | + | 0.0429364i | |||||
36.8275i | 1.54798i | |||||||||
−9.62156 | − | 24.8523i | −0.404068 | − | 1.04370i | |||||
−1.55336 | − | 1.55336i | −0.0651774 | − | 0.0651774i | |||||
8.63090 | 0.361826 | 0.180913 | − | 0.983499i | ||||||
0.180913 | + | 0.983499i | ||||||||
−52.3752 | − | 32.2187i | −2.19375 | − | 1.34949i | |||||
44.5130 | 1.86281 | 0.931405 | − | 0.363984i | ||||||
0.931405 | + | 0.363984i | ||||||||
0.237988 | + | 0.237988i | 0.00995080 | + | 0.00995080i | |||||
13.0684 | − | 24.1101i | 0.545941 | − | 1.00722i | |||||
− | 24.8243i | − | 1.03615i | |||||||
−13.9386 | − | 17.3843i | −0.581281 | − | 0.724975i | |||||
−8.45923 | + | 5.51070i | −0.352468 | + | 0.229613i | |||||
−20.3357 | + | 20.3357i | −0.846587 | + | 0.846587i | −0.989706 | − | 0.143119i | ||
0.143119 | + | 0.989706i | ||||||||
−7.62041 | + | 7.62041i | −0.316967 | + | 0.316967i | |||||
5.14181 | + | 17.3130i | 0.213686 | + | 0.719502i | |||||
−7.39394 | + | 6.62517i | −0.307017 | + | 0.275095i | |||||
− | 1.53209i | − | 0.0635617i | |||||||
19.8339 | + | 10.7506i | 0.822144 | + | 0.445627i | |||||
1.62043 | + | 1.62043i | 0.0671113 | + | 0.0671113i | |||||
7.56079 | 0.312868 | |||||||||
1.32910 | − | 0.765602i | 0.0549517 | − | 0.0316538i | |||||
38.5655 | 1.59313 | |||||||||
−0.959751 | − | 0.959751i | −0.0396132 | − | 0.0396132i | 0.687023 | − | 0.726636i | ||
−0.726636 | + | 0.687023i | ||||||||
3.96294 | + | 2.14803i | 0.163429 | + | 0.0885834i | |||||
− | 42.6976i | − | 1.75932i | |||||||
−1.17938 | + | 21.5071i | −0.0485545 | + | 0.885433i | |||||
6.30087 | + | 21.2156i | 0.259183 | + | 0.872695i | |||||
−22.6579 | + | 22.6579i | −0.931232 | + | 0.931232i | |||||
−17.7549 | + | 17.7549i | −0.729108 | + | 0.729108i | −0.970442 | − | 0.241334i | ||
0.241334 | + | 0.970442i | ||||||||
7.37580 | + | 6.27221i | 0.302633 | + | 0.257352i | |||||
−21.0906 | − | 23.5378i | −0.864629 | − | 0.964958i | |||||
− | 26.7454i | − | 1.09554i | |||||||
−9.13928 | + | 16.8612i | −0.374046 | + | 0.690083i | |||||
−1.34257 | − | 1.34257i | −0.0549016 | − | 0.0549016i | |||||
44.2947 | 1.80983 | 0.904915 | − | 0.425592i | ||||||
0.904915 | + | 0.425592i | ||||||||
1.51819 | + | 8.38450i | 0.0619799 | + | 0.342296i | |||||
−22.9340 | −0.935497 | −0.467748 | − | 0.883862i | ||||||
−0.467748 | + | 0.883862i | ||||||||
−1.85406 | − | 1.85406i | −0.0755659 | − | 0.0755659i | |||||
40.4706 | + | 8.54180i | 1.64809 | + | 0.347849i | |||||
− | 7.60797i | − | 0.309564i | |||||||
1.49219 | + | 1.66534i | 0.0606662 | + | 0.0677058i | |||||
30.6810 | − | 9.11200i | 1.24633 | − | 0.370150i | |||||
10.8599 | − | 10.8599i | 0.440790 | − | 0.440790i | −0.451487 | − | 0.892278i | ||
0.892278 | + | 0.451487i | ||||||||
41.7767 | − | 41.7767i | 1.69427 | − | 1.69427i | |||||
14.8297 | − | 4.40430i | 0.600930 | − | 0.178471i | |||||
−0.773494 | + | 14.1053i | −0.0313179 | + | 0.571108i | |||||
1.98929i | 0.0804780i | |||||||||
20.6237 | + | 4.35288i | 0.833663 | + | 0.175955i | |||||
6.73269 | + | 6.73269i | 0.271931 | + | 0.271931i | 0.829877 | − | 0.557946i | ||
−0.557946 | + | 0.829877i | ||||||||
−0.361414 | −0.0145855 | |||||||||
16.9509 | − | 4.03896i | 0.683526 | − | 0.162867i | |||||
2.91342 | 0.117385 | |||||||||
−14.3232 | − | 14.3232i | −0.576631 | − | 0.576631i | 0.357343 | − | 0.933973i | ||
−0.933973 | + | 0.357343i | ||||||||
12.5408 | − | 23.1368i | 0.504466 | − | 0.930698i | |||||
− | 17.4592i | − | 0.701743i | −0.936424 | − | 0.350871i | ||||
0.936424 | − | 0.350871i | ||||||||
12.2835 | − | 11.0063i | 0.493317 | − | 0.442025i | |||||
−17.6405 | − | 15.0011i | −0.707888 | − | 0.601972i | |||||
23.9385 | − | 23.9385i | 0.959848 | − | 0.959848i | |||||
−7.75037 | + | 7.75037i | −0.310512 | + | 0.310512i | |||||
0.538644 | + | 1.81367i | 0.0215630 | + | 0.0726048i | |||||
−24.4022 | − | 5.43447i | −0.976087 | − | 0.217379i | |||||
− | 40.9543i | − | 1.63686i | |||||||
−12.9751 | − | 7.03287i | −0.518174 | − | 0.280866i | |||||
0.102011 | + | 0.102011i | 0.00407067 | + | 0.00407067i | |||||
32.0161 | 1.27656 | |||||||||
−9.61492 | + | 35.7415i | −0.383068 | + | 1.42398i | |||||
11.4177 | 0.454532 | 0.227266 | − | 0.973833i | ||||||
0.227266 | + | 0.973833i | ||||||||
4.13007 | + | 4.13007i | 0.164286 | + | 0.164286i | |||||
−3.74198 | − | 2.02827i | −0.148730 | − | 0.0806164i | |||||
2.31601i | 0.0919807i | |||||||||
−1.71074 | − | 0.0938117i | −0.0678886 | − | 0.00372280i | |||||
−1.66338 | − | 5.60076i | −0.0659573 | − | 0.222085i | |||||
0.285859 | − | 0.285859i | 0.0113261 | − | 0.0113261i | |||||
−3.97419 | + | 3.97419i | −0.157340 | + | 0.157340i | |||||
5.61233 | − | 3.65611i | 0.222020 | − | 0.144634i | |||||
−16.9617 | − | 0.930126i | −0.670469 | − | 0.0367665i | |||||
49.6654i | 1.96166i | 0.194855 | + | 0.980832i | ||||||
−0.194855 | + | 0.980832i | ||||||||
1.04712 | − | 1.93184i | 0.0413264 | − | 0.0762437i | |||||
−20.8135 | − | 20.8135i | −0.820803 | − | 0.820803i | 0.165420 | − | 0.986223i | ||
−0.986223 | + | 0.165420i | ||||||||
19.4239 | 0.765410 | |||||||||
0.964359 | − | 1.56768i | 0.0379716 | − | 0.0617272i | |||||
−75.7847 | −2.98171 | |||||||||
4.95430 | + | 4.95430i | 0.194774 | + | 0.194774i | 0.797755 | − | 0.602982i | ||
−0.602982 | + | 0.797755i | ||||||||
3.19703 | + | 8.25785i | 0.125591 | + | 0.324399i | |||||
5.16965i | 0.202927i | |||||||||
−2.11748 | − | 0.232933i | −0.0830544 | − | 0.00913638i | |||||
−24.6365 | + | 7.31682i | −0.965579 | + | 0.286769i | |||||
18.2683 | − | 18.2683i | 0.715440 | − | 0.715440i | |||||
−6.32930 | + | 6.32930i | −0.247684 | + | 0.247684i | −0.820020 | − | 0.572335i | ||
0.572335 | + | 0.820020i | ||||||||
−8.91483 | + | 2.64763i | −0.348598 | + | 0.103531i | |||||
−33.4965 | + | 30.0138i | −1.30882 | + | 1.17274i | |||||
21.4940i | 0.839198i | |||||||||
−4.76083 | + | 22.5565i | −0.185738 | + | 0.880014i | |||||
−33.9428 | − | 33.9428i | −1.32323 | − | 1.32323i | |||||
4.08497 | 0.159128 | 0.0795639 | − | 0.996830i | ||||||
0.0795639 | + | 0.996830i | ||||||||
−1.32138 | − | 5.54564i | −0.0514347 | − | 0.215864i | |||||
1.41024 | 0.0548519 | 0.0274259 | − | 0.999624i | ||||||
0.0274259 | + | 0.999624i | ||||||||
−2.39252 | − | 2.39252i | −0.0929879 | − | 0.0929879i | |||||
0.900818 | − | 1.66193i | 0.0349849 | − | 0.0645441i | |||||
0.509078i | 0.0197561i | |||||||||
3.08915 | − | 56.3334i | 0.119792 | − | 2.18452i | |||||
−20.4658 | − | 31.4161i | −0.793033 | − | 1.21735i | |||||
9.50495 | − | 9.50495i | 0.368033 | − | 0.368033i | |||||
7.44983 | − | 7.44983i | 0.288242 | − | 0.288242i | |||||
−1.89937 | − | 6.39536i | −0.0734338 | − | 0.247259i | |||||
−38.3349 | − | 42.7832i | −1.48101 | − | 1.65286i | |||||
3.39049i | 0.130889i | |||||||||
−31.2642 | − | 16.9461i | −1.20604 | − | 0.653711i | |||||
18.1505 | + | 18.1505i | 0.699650 | + | 0.699650i | 0.964335 | − | 0.264685i | ||
−0.264685 | + | 0.964335i | ||||||||
−2.17219 | −0.0836698 | |||||||||
−25.9699 | − | 0.750192i | −0.999583 | − | 0.0288749i | |||||
19.0586 | 0.733022 | |||||||||
−32.0068 | − | 32.0068i | −1.23012 | − | 1.23012i | −0.963916 | − | 0.266205i | ||
−0.266205 | − | 0.963916i | ||||||||
−23.6515 | − | 12.8198i | −0.908331 | − | 0.492343i | |||||
20.6988i | 0.794347i | |||||||||
7.00791 | + | 7.82109i | 0.268741 | + | 0.299925i | |||||
14.1898 | + | 47.7785i | 0.543755 | + | 1.83088i | |||||
6.60228 | − | 6.60228i | 0.252814 | − | 0.252814i | |||||
−0.422561 | + | 0.422561i | −0.0161689 | + | 0.0161689i | −0.715145 | − | 0.698976i | ||
0.698976 | + | 0.715145i | ||||||||
20.5383 | + | 31.5273i | 0.785300 | + | 1.20548i | |||||
1.88501 | − | 34.3748i | 0.0720224 | − | 1.31339i | |||||
− | 28.8671i | − | 1.10215i | |||||||
−10.2349 | + | 18.8825i | −0.390484 | + | 0.720411i | |||||
1.60533 | + | 1.60533i | 0.0612025 | + | 0.0612025i | |||||
−0.523985 | −0.0199622 | |||||||||
7.45432 | + | 31.2846i | 0.283781 | + | 1.19099i | |||||
33.4110 | 1.27101 | 0.635507 | − | 0.772095i | ||||||
0.635507 | + | 0.772095i | ||||||||
−15.1148 | − | 15.1148i | −0.574577 | − | 0.574577i | |||||
−1.83450 | + | 8.69178i | −0.0696871 | + | 0.330173i | |||||
− | 26.4779i | − | 1.00509i | |||||||
−31.3510 | + | 28.0914i | −1.18921 | + | 1.06557i | |||||
−4.92757 | + | 1.46345i | −0.186779 | + | 0.0554718i | |||||
15.1857 | − | 15.1857i | 0.575200 | − | 0.575200i | |||||
1.98071 | − | 1.98071i | 0.0749709 | − | 0.0749709i | |||||
−4.29940 | + | 1.27689i | −0.162618 | + | 0.0482963i | |||||
17.0026 | − | 13.6326i | 0.642639 | − | 0.515264i | |||||
− | 5.59359i | − | 0.211267i | −0.994405 | − | 0.105634i | ||||
0.994405 | − | 0.105634i | ||||||||
−2.20662 | + | 0.178429i | −0.0832836 | + | 0.00673438i | |||||
40.4131 | + | 40.4131i | 1.52421 | + | 1.52421i | |||||
3.36529 | 0.126834 | |||||||||
17.6548 | − | 28.6999i | 0.664917 | − | 1.08090i | |||||
27.5065 | 1.03522 | |||||||||
20.7641 | + | 20.7641i | 0.780914 | + | 0.780914i | |||||
6.28072 | − | 11.5874i | 0.236044 | − | 0.435481i | |||||
− | 7.90281i | − | 0.296796i | −0.988928 | − | 0.148398i | ||||
0.988928 | − | 0.148398i | ||||||||
−9.28870 | − | 0.509364i | −0.348599 | − | 0.0191161i | |||||
−14.9221 | + | 9.72089i | −0.559622 | + | 0.364562i | |||||
2.57527 | − | 2.57527i | 0.0965124 | − | 0.0965124i | |||||
−15.7905 | + | 15.7905i | −0.591358 | + | 0.591358i | |||||
12.9868 | + | 43.7277i | 0.486017 | + | 1.63647i | |||||
−0.510513 | − | 0.0279950i | −0.0190921 | − | 0.00104695i | |||||
18.8900i | 0.705953i | |||||||||
30.8474 | + | 16.7202i | 1.15202 | + | 0.624428i | |||||
−18.9599 | − | 18.9599i | −0.707577 | − | 0.707577i | |||||
2.71116 | 0.101109 | 0.0505547 | − | 0.998721i | ||||||
0.0505547 | + | 0.998721i | ||||||||
8.32502 | − | 30.9466i | 0.310255 | − | 1.15331i | |||||
24.1457 | 0.899232 | |||||||||
−70.6275 | − | 70.6275i | −2.62848 | − | 2.62848i | |||||
3.50322 | + | 1.89885i | 0.130286 | + | 0.0706190i | |||||
27.8926i | 1.03662i | |||||||||
1.64909 | − | 14.9911i | 0.0612458 | − | 0.556756i | |||||
−0.918834 | − | 3.09381i | −0.0341011 | − | 0.114822i | |||||
−28.7249 | + | 28.7249i | −1.06535 | + | 1.06535i | −0.0676395 | + | 0.997710i | ||
−0.997710 | + | 0.0676395i | ||||||||
−0.471045 | + | 0.471045i | −0.0174581 | + | 0.0174581i | |||||
−26.6492 | + | 4.33812i | −0.987008 | + | 0.160671i | |||||
23.8455 | − | 21.3662i | 0.882561 | − | 0.790799i | |||||
− | 2.26836i | − | 0.0838984i | |||||||
4.11918 | − | 7.59954i | 0.152249 | − | 0.280887i | |||||
−28.0365 | − | 28.0365i | −1.03555 | − | 1.03555i | −0.999344 | − | 0.0362092i | ||
−0.0362092 | − | 0.999344i | ||||||||
−63.2007 | −2.33278 | |||||||||
−6.66112 | + | 1.58717i | −0.245699 | + | 0.0585437i | |||||
−30.8999 | −1.13899 | |||||||||
−9.74916 | − | 9.74916i | −0.359115 | − | 0.359115i | |||||
−24.6084 | − | 5.19390i | −0.905847 | − | 0.191190i | |||||
− | 14.9125i | − | 0.548565i | −0.961649 | − | 0.274282i | ||||
0.961649 | − | 0.274282i | ||||||||
−1.20881 | + | 22.0438i | −0.0444368 | + | 0.810345i | |||||
3.23490 | − | 0.960739i | 0.118837 | − | 0.0352936i | |||||
8.94064 | − | 8.94064i | 0.328221 | − | 0.328221i | |||||
8.00940 | − | 8.00940i | 0.293836 | − | 0.293836i | −0.544757 | − | 0.838594i | ||
0.838594 | + | 0.544757i | ||||||||
8.18613 | − | 2.43121i | 0.300118 | − | 0.0891326i | |||||
27.1130 | + | 30.2591i | 0.993344 | + | 1.10861i | |||||
− | 43.8133i | − | 1.60412i | |||||||
−1.51876 | − | 0.320553i | −0.0555686 | − | 0.0117284i | |||||
−4.96814 | − | 4.96814i | −0.181653 | − | 0.181653i | |||||
2.01608 | 0.0736659 | |||||||||
28.4821 | + | 22.1530i | 1.04002 | + | 0.808915i | |||||
−14.6500 | −0.534587 | −0.267294 | − | 0.963615i | ||||||
−0.267294 | + | 0.963615i | ||||||||
29.3892 | + | 29.3892i | 1.07171 | + | 1.07171i | |||||
−22.3327 | + | 41.2020i | −0.813849 | + | 1.50148i | |||||
− | 1.28510i | − | 0.0468006i | |||||||
7.71253 | + | 8.60746i | 0.280688 | + | 0.313258i | |||||
14.6717 | − | 17.2532i | 0.533605 | − | 0.627493i | |||||
28.2615 | − | 28.2615i | 1.02718 | − | 1.02718i | 0.0275615 | − | 0.999620i | ||
0.999620 | − | 0.0275615i | ||||||||
−36.0985 | + | 36.0985i | −1.31116 | + | 1.31116i | |||||
2.19755 | + | 7.39937i | 0.0797660 | + | 0.268580i | |||||
−1.02646 | + | 18.7183i | −0.0372335 | + | 0.678985i | |||||
3.35785i | 0.121722i | 0.998146 | + | 0.0608610i | ||||||
−0.998146 | + | 0.0608610i | ||||||||
2.17403 | + | 1.17839i | 0.0787568 | + | 0.0426886i | |||||
−6.03332 | − | 6.03332i | −0.218421 | − | 0.218421i | |||||
23.3061 | 0.843184 | |||||||||
−27.7458 | + | 15.9824i | −1.00315 | + | 0.577844i | |||||
46.4278 | 1.67750 | |||||||||
−0.835835 | − | 0.835835i | −0.0301802 | − | 0.0301802i | |||||
31.8041 | + | 17.2388i | 1.14763 | + | 0.622051i | |||||
16.5162i | 0.595588i | 0.954630 | + | 0.297794i | ||||||
−0.954630 | + | 0.297794i | ||||||||
9.18845 | − | 8.23310i | 0.331129 | − | 0.296700i | |||||
−10.0312 | − | 33.7760i | −0.361265 | − | 1.21641i | |||||
−10.8530 | + | 10.8530i | −0.390606 | + | 0.390606i | |||||
−18.4182 | + | 18.4182i | −0.662457 | + | 0.662457i | −0.955959 | − | 0.293502i | ||
0.293502 | + | 0.955959i | ||||||||
−2.22585 | + | 1.45002i | −0.0800066 | + | 0.0521198i | |||||
−2.73962 | + | 24.9046i | −0.0984102 | + | 0.894599i | |||||
− | 6.87774i | − | 0.246897i | |||||||
16.3930 | − | 30.2437i | 0.588095 | − | 1.08499i | |||||
26.0396 | + | 26.0396i | 0.933565 | + | 0.933565i | |||||
38.3372 | 1.37357 | |||||||||
1.11027 | + | 0.682982i | 0.0397539 | + | 0.0244547i | |||||
−2.23272 | −0.0798930 | |||||||||
28.0268 | + | 28.0268i | 1.00224 | + | 1.00224i | |||||
−1.26322 | − | 15.6222i | −0.0451440 | − | 0.558292i | |||||
− | 8.44639i | − | 0.301657i | |||||||
−0.218825 | − | 0.0119997i | −0.00781020 | − | 0.000428287i | |||||
62.2284 | − | 18.4813i | 2.21962 | − | 0.659207i | |||||
6.14166 | − | 6.14166i | 0.218926 | − | 0.218926i | −0.589119 | − | 0.808046i | ||
0.808046 | + | 0.589119i | ||||||||
−13.2994 | + | 13.2994i | −0.473772 | + | 0.473772i | |||||
2.61404 | − | 0.776347i | 0.0930622 | − | 0.0276387i | |||||
24.6968 | + | 1.35430i | 0.878674 | + | 0.0481838i | |||||
− | 24.6828i | − | 0.877621i | |||||||
0.609564 | − | 2.88808i | 0.0216599 | − | 0.102623i | |||||
−0.548178 | − | 0.548178i | −0.0194664 | − | 0.0194664i | |||||
−3.72342 | −0.132139 | |||||||||
7.55964 | + | 4.65032i | 0.268113 | + | 0.164930i | |||||
−16.2989 | −0.577698 | |||||||||
−28.9739 | − | 28.9739i | −1.02631 | − | 1.02631i | −0.999644 | − | 0.0266641i | ||
−0.0266641 | − | 0.999644i | ||||||||
−38.8036 | + | 71.5893i | −1.37363 | + | 2.53423i | |||||
− | 41.5275i | − | 1.46914i | |||||||
−27.0480 | + | 21.6870i | −0.956293 | + | 0.766750i | |||||
6.06138 | + | 9.30454i | 0.214168 | + | 0.328760i | |||||
−32.2710 | + | 32.2710i | −1.13953 | + | 1.13953i | |||||
5.43376 | − | 5.43376i | 0.191753 | − | 0.191753i | |||||
10.0076 | + | 33.6965i | 0.352940 | + | 1.18838i | |||||
−21.9758 | + | 19.6909i | −0.774544 | + | 0.694012i | |||||
2.13493i | 0.0751996i | |||||||||
4.92757 | + | 2.67089i | 0.173459 | + | 0.0940198i | |||||
−6.89943 | − | 6.89943i | −0.242721 | − | 0.242721i | |||||
27.5336 | 0.968031 | 0.484016 | − | 0.875059i | ||||||
0.484016 | + | 0.875059i | ||||||||
33.4190 | + | 17.0094i | 1.17422 | + | 0.597648i | |||||
12.6038 | 0.442580 | 0.221290 | − | 0.975208i | ||||||
0.221290 | + | 0.975208i | ||||||||
9.29627 | + | 9.29627i | 0.326235 | + | 0.326235i | |||||
−26.5131 | − | 14.3709i | −0.929854 | − | 0.504009i | |||||
12.4981i | 0.438057i | |||||||||
−2.14893 | + | 39.1876i | −0.0752737 | + | 1.37268i | |||||
−11.2445 | − | 37.8613i | −0.393636 | − | 1.32541i | |||||
2.86330 | − | 2.86330i | 0.100174 | − | 0.100174i | |||||
29.5683 | − | 29.5683i | 1.03383 | − | 1.03383i | |||||
−1.10869 | − | 1.70190i | −0.0387408 | − | 0.0594692i | |||||
9.88235 | + | 11.0291i | 0.345106 | + | 0.385152i | |||||
17.3304i | 0.604836i | 0.953175 | + | 0.302418i | ||||||
−0.953175 | + | 0.302418i | ||||||||
−23.6780 | + | 43.6839i | −0.825866 | + | 1.52365i | |||||
−20.4085 | − | 20.4085i | −0.711397 | − | 0.711397i | 0.255430 | − | 0.966828i | ||
−0.966828 | + | 0.255430i | ||||||||
−8.02306 | −0.279496 | |||||||||
7.11683 | + | 4.93465i | 0.247776 | + | 0.171803i | |||||
28.5233 | 0.992454 | |||||||||
−13.1570 | − | 13.1570i | −0.457513 | − | 0.457513i | 0.440325 | − | 0.897838i | ||
−0.897838 | + | 0.440325i | ||||||||
4.06400 | − | 19.2550i | 0.141234 | − | 0.669157i | |||||
− | 25.7974i | − | 0.895980i | −0.894039 | − | 0.447990i | ||||
0.894039 | − | 0.447990i | ||||||||
1.43862 | + | 1.60555i | 0.0499351 | + | 0.0557294i | |||||
−26.1893 | + | 7.77801i | −0.908498 | + | 0.269816i | |||||
−0.544103 | + | 0.544103i | −0.0188634 | + | 0.0188634i | |||||
−5.96747 | + | 5.96747i | −0.206760 | + | 0.206760i | |||||
58.2427 | − | 17.2976i | 2.01678 | − | 0.598967i | |||||
−0.876336 | + | 15.9808i | −0.0303269 | + | 0.553037i | |||||
− | 12.5423i | − | 0.433786i | |||||||
2.09858 | + | 25.9530i | 0.0725377 | + | 0.897068i | |||||
3.23710 | + | 3.23710i | 0.111824 | + | 0.111824i | |||||
17.9282 | 0.618949 | 0.309475 | − | 0.950908i | ||||||
0.309475 | + | 0.950908i | ||||||||
10.9763 | − | 2.61538i | 0.378720 | − | 0.0902391i | |||||
−19.9019 | −0.686272 | |||||||||
−1.21150 | − | 1.21150i | −0.0417510 | − | 0.0417510i | |||||
−21.4521 | + | 39.5773i | −0.738848 | + | 1.36311i | |||||
− | 3.61719i | − | 0.124509i | |||||||
−21.5624 | + | 19.3205i | −0.741768 | + | 0.664645i | |||||
−40.7493 | + | 26.5459i | −1.40099 | + | 0.912665i | |||||
2.09381 | − | 2.09381i | 0.0719440 | − | 0.0719440i | |||||
−7.74119 | + | 7.74119i | −0.265834 | + | 0.265834i | |||||
9.74618 | + | 32.8164i | 0.334488 | + | 1.12625i | |||||
44.2036 | + | 4.86261i | 1.51617 | + | 0.166786i | |||||
− | 29.8913i | − | 1.02466i | |||||||
5.00448 | + | 2.71258i | 0.171451 | + | 0.0929314i | |||||
−9.62668 | − | 9.62668i | −0.329611 | − | 0.329611i | 0.522827 | − | 0.852439i | ||
−0.852439 | + | 0.522827i | ||||||||
18.7069 | 0.640137 | |||||||||
−55.1971 | − | 14.8487i | −1.88770 | − | 0.507815i | |||||
−0.669897 | −0.0228966 | |||||||||
18.5942 | + | 18.5942i | 0.635167 | + | 0.635167i | 0.949359 | − | 0.314193i | ||
−0.314193 | + | 0.949359i | ||||||||
0.648767 | + | 0.351651i | 0.0221486 | + | 0.0120052i | |||||
52.8538i | 1.80335i | 0.432416 | + | 0.901674i | ||||||
−0.432416 | + | 0.901674i | ||||||||
1.56182 | + | 0.0856453i | 0.0532575 | + | 0.00292048i | |||||
−6.56961 | − | 22.1205i | −0.223892 | − | 0.753865i | |||||
18.8864 | − | 18.8864i | 0.643273 | − | 0.643273i | |||||
33.0543 | − | 33.0543i | 1.12518 | − | 1.12518i | 0.134233 | − | 0.990950i | ||
0.990950 | − | 0.134233i | ||||||||
−23.3400 | + | 27.4466i | −0.794043 | + | 0.933754i | |||||
32.4229 | + | 1.77797i | 1.10241 | + | 0.0604530i | |||||
− | 6.85394i | − | 0.232907i | |||||||
−4.77372 | + | 8.80710i | −0.162124 | + | 0.299105i | |||||
−15.4438 | − | 15.4438i | −0.524197 | − | 0.524197i | |||||
5.93637 | 0.201378 | |||||||||
−11.4052 | + | 18.5404i | −0.386671 | + | 0.628579i | |||||
3.15251 | 0.106819 | |||||||||
2.00474 | + | 2.00474i | 0.0678889 | + | 0.0678889i | |||||
20.5188 | + | 4.33073i | 0.694455 | + | 0.146573i | |||||
70.7552i | 2.39333i | |||||||||
−5.41638 | + | 32.6599i | −0.183107 | + | 1.10411i | |||||
−18.7810 | + | 5.57778i | −0.634550 | + | 0.188456i | |||||
7.28035 | − | 7.28035i | 0.245840 | − | 0.245840i | −0.573421 | − | 0.819261i | ||
0.819261 | + | 0.573421i | ||||||||
13.2446 | − | 13.2446i | 0.446984 | − | 0.446984i | |||||
34.3651 | − | 10.2061i | 1.15911 | − | 0.344245i | |||||
−7.95576 | + | 7.12858i | −0.268188 | + | 0.240304i | |||||
− | 29.9331i | − | 1.00847i | −0.863566 | − | 0.504236i | ||||
0.863566 | − | 0.504236i | ||||||||
9.67025 | + | 2.04102i | 0.325614 | + | 0.0687248i | |||||
13.3384 | + | 13.3384i | 0.448872 | + | 0.448872i | 0.894979 | − | 0.446107i | ||
−0.446107 | + | 0.894979i | ||||||||
1.60651 | 0.0540327 | |||||||||
4.64080 | + | 19.4767i | 0.155999 | + | 0.654703i | |||||
−28.2240 | −0.948205 | |||||||||
−18.3918 | − | 18.3918i | −0.617537 | − | 0.617537i | 0.327362 | − | 0.944899i | ||
−0.944899 | + | 0.327362i | ||||||||
−5.44702 | + | 10.0493i | −0.182790 | + | 0.337232i | |||||
2.26883i | 0.0760941i | |||||||||
0.844462 | − | 15.3995i | 0.0283064 | − | 0.516193i | |||||
8.23235 | + | 3.63710i | 0.275794 | + | 0.121847i | |||||
4.00905 | − | 4.00905i | 0.134233 | − | 0.134233i | |||||
52.4193 | − | 52.4193i | 1.75414 | − | 1.75414i | |||||
−16.6951 | − | 56.2142i | −0.558369 | − | 1.88008i | |||||
−19.1496 | − | 21.3717i | −0.640102 | − | 0.714377i | |||||
22.4950i | 0.751507i | |||||||||
−1.55164 | − | 0.841035i | −0.0518077 | − | 0.0280813i | |||||
−34.0676 | − | 34.0676i | −1.13685 | − | 1.13685i | |||||
−15.1146 | −0.504101 | |||||||||
−9.95663 | − | 19.7070i | −0.331888 | − | 0.656901i | |||||
10.9385 | 0.364414 | |||||||||
5.92804 | + | 5.92804i | 0.197382 | + | 0.197382i | |||||
−2.14279 | − | 1.16146i | −0.0713075 | − | 0.0386508i | |||||
8.20154i | 0.272779i | |||||||||
−28.2759 | − | 31.5569i | −0.939922 | − | 1.04899i | |||||
−4.74907 | − | 15.9906i | −0.157777 | − | 0.531252i | |||||
24.1125 | − | 24.1125i | 0.800643 | − | 0.800643i | −0.182553 | − | 0.983196i | ||
0.983196 | + | 0.182553i | ||||||||
−29.9509 | + | 29.9509i | −0.993954 | + | 0.993954i | |||||
24.9279 | − | 16.2391i | 0.826805 | − | 0.538616i | |||||
−0.154461 | + | 2.81673i | −0.00512034 | + | 0.0933738i | |||||
− | 36.8662i | − | 1.22143i | −0.791850 | − | 0.610715i | ||||
0.791850 | − | 0.610715i | ||||||||
33.5978 | − | 61.9851i | 1.11253 | − | 2.05253i | |||||
0.365862 | + | 0.365862i | 0.0121083 | + | 0.0121083i | |||||
−36.8083 | −1.21751 | |||||||||
3.04365 | + | 12.7737i | 0.100620 | + | 0.422286i | |||||
−18.2527 | −0.603087 | |||||||||
42.1146 | + | 42.1146i | 1.39075 | + | 1.39075i | |||||
46.0645 | − | 3.72481i | 1.52035 | − | 0.122937i | |||||
36.9865i | 1.22007i | 0.792374 | + | 0.610035i | ||||||
−0.792374 | + | 0.610035i | ||||||||
7.30204 | − | 6.54283i | 0.240741 | − | 0.215711i | |||||
−0.322049 | + | 0.0956459i | −0.0106119 | + | 0.00315164i | |||||
0.0697387 | − | 0.0697387i | 0.00229672 | − | 0.00229672i | |||||
0.360988 | − | 0.360988i | 0.0118821 | − | 0.0118821i | |||||
−7.23692 | + | 2.14930i | −0.238077 | + | 0.0707069i | |||||
−20.9791 | − | 26.1652i | −0.689788 | − | 0.860306i | |||||
6.49835i | 0.213549i | |||||||||
5.05191 | − | 23.9356i | 0.165926 | − | 0.786150i | |||||
−14.7886 | − | 14.7886i | −0.485461 | − | 0.485461i | |||||
40.7878 | 1.33820 | 0.669102 | − | 0.743170i | ||||||
0.669102 | + | 0.743170i | ||||||||
18.9473 | − | 30.8010i | 0.621306 | − | 1.01001i | |||||
−15.0652 | −0.493742 | |||||||||
−2.69516 | − | 2.69516i | −0.0882829 | − | 0.0882829i | |||||
14.9960 | − | 27.6664i | 0.490948 | − | 0.905757i | |||||
− | 35.0744i | − | 1.14767i | |||||||
10.6572 | + | 0.584411i | 0.348529 | + | 0.0191123i | |||||
0.368393 | + | 0.565502i | 0.0120413 | + | 0.0184840i | |||||
−3.15650 | + | 3.15650i | −0.103119 | + | 0.103119i | −0.756784 | − | 0.653665i | ||
0.653665 | + | 0.756784i | ||||||||
−53.7905 | + | 53.7905i | −1.75632 | + | 1.75632i | |||||
−10.8383 | − | 36.4937i | −0.353695 | − | 1.19093i | |||||
28.5926 | + | 1.56793i | 0.932588 | + | 0.0511403i | |||||
57.5077i | 1.87470i | 0.348394 | + | 0.937348i | ||||||
−0.348394 | + | 0.937348i | ||||||||
0.278086 | + | 0.150731i | 0.00906053 | + | 0.00491108i | |||||
−14.1779 | − | 14.1779i | −0.461697 | − | 0.461697i | |||||
−24.6967 | −0.803810 | |||||||||
0.891092 | + | 34.3932i | 0.0289872 | + | 1.11881i | |||||
0.885499 | 0.0287900 | |||||||||
27.6497 | + | 27.6497i | 0.898494 | + | 0.898494i | 0.995303 | − | 0.0968091i | ||
−0.0968091 | + | 0.995303i | ||||||||
−13.3059 | − | 7.21222i | −0.432157 | − | 0.234242i | |||||
1.75707i | 0.0570369i | |||||||||
49.6592 | + | 61.9352i | 1.61116 | + | 2.00944i | |||||
0.612919 | + | 2.06376i | 0.0198753 | + | 0.0669220i | |||||
9.83332 | − | 9.83332i | 0.318700 | − | 0.318700i | |||||
−1.83684 | + | 1.83684i | −0.0595012 | + | 0.0595012i | −0.736231 | − | 0.676730i | ||
0.676730 | + | 0.736231i | ||||||||
−6.99226 | − | 10.7335i | −0.226383 | − | 0.347510i | |||||
−26.3679 | + | 23.6264i | −0.853245 | + | 0.764531i | |||||
29.8186i | 0.964403i | |||||||||
−2.48958 | + | 4.59307i | −0.0804768 | + | 0.148473i | |||||
20.8115 | + | 20.8115i | 0.672389 | + | 0.672389i | |||||
−45.5888 | −1.47214 | |||||||||
12.6788 | − | 3.02102i | 0.409205 | − | 0.0975029i | |||||
−5.89023 | −0.190007 | |||||||||
−2.02070 | − | 2.02070i | −0.0651500 | − | 0.0651500i | |||||
0.421817 | − | 1.99854i | 0.0135928 | − | 0.0644021i | |||||
3.38639i | 0.109068i | |||||||||
1.27665 | − | 23.2809i | 0.0410969 | − | 0.749438i | |||||
40.8257 | − | 12.1249i | 1.31354 | − | 0.390112i | |||||
5.45469 | − | 5.45469i | 0.175411 | − | 0.175411i | −0.613941 | − | 0.789352i | ||
0.789352 | + | 0.613941i | ||||||||
−0.695724 | + | 0.695724i | −0.0223614 | + | 0.0223614i | |||||
−67.5304 | + | 20.0560i | −2.16939 | + | 0.644290i | |||||
−19.4360 | − | 21.6913i | −0.624051 | − | 0.696465i | |||||
− | 30.2021i | − | 0.969231i | −0.874727 | − | 0.484615i | ||||
0.874727 | − | 0.484615i | ||||||||
−14.0334 | − | 18.1539i | −0.450122 | − | 0.582288i | |||||
39.4171 | + | 39.4171i | 1.26366 | + | 1.26366i | |||||
52.4370 | 1.68019 | |||||||||
−1.94849 | + | 0.352816i | −0.0624018 | + | 0.0112992i | |||||
−16.1972 | −0.518461 | |||||||||
−21.7515 | − | 21.7515i | −0.695892 | − | 0.695892i | 0.267630 | − | 0.963522i | ||
−0.963522 | + | 0.267630i | ||||||||
26.9932 | − | 49.8001i | 0.863146 | − | 1.59243i | |||||
− | 3.70157i | − | 0.118303i | |||||||
−3.88342 | − | 4.33404i | −0.124051 | − | 0.138446i | |||||
−7.24317 | + | 4.71851i | −0.231257 | + | 0.150651i | |||||
−19.7831 | + | 19.7831i | −0.631303 | + | 0.631303i | |||||
13.0850 | − | 13.0850i | 0.417347 | − | 0.417347i | −0.466941 | − | 0.884288i | ||
0.884288 | + | 0.466941i | ||||||||
2.18293 | + | 7.35014i | 0.0695893 | + | 0.234314i | |||||
1.56443 | − | 28.5288i | 0.0498470 | − | 0.909004i | |||||
26.8272i | 0.854352i | |||||||||
−39.2286 | − | 21.2631i | −1.24866 | − | 0.676812i | |||||
2.02786 | + | 2.02786i | 0.0645148 | + | 0.0645148i | |||||
−2.11782 | −0.0673428 | |||||||||
−6.23903 | − | 10.8311i | −0.198289 | − | 0.344235i | |||||
−40.4113 | −1.28371 | −0.641853 | − | 0.766828i | ||||||
−0.641853 | + | 0.766828i | ||||||||
24.5683 | + | 24.5683i | 0.780043 | + | 0.780043i | |||||
−2.76510 | − | 1.49877i | −0.0877477 | − | 0.0475619i | |||||
12.3189i | 0.390733i | |||||||||
18.4401 | − | 16.5229i | 0.584592 | − | 0.523810i | |||||
−0.375560 | − | 1.26455i | −0.0119001 | − | 0.0400687i | |||||
9.17711 | − | 9.17711i | 0.290642 | − | 0.290642i | −0.546692 | − | 0.837334i | ||
0.837334 | + | 0.546692i | ||||||||
−7.28814 | + | 7.28814i | −0.230702 | + | 0.230702i | |||||
−26.5508 | − | 22.5782i | −0.840029 | − | 0.714342i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 165.2.k.c.23.8 | ✓ | 16 | |
3.2 | odd | 2 | 165.2.k.d.23.1 | yes | 16 | ||
5.2 | odd | 4 | 165.2.k.d.122.1 | yes | 16 | ||
5.3 | odd | 4 | 825.2.k.i.782.8 | 16 | |||
5.4 | even | 2 | 825.2.k.j.518.1 | 16 | |||
15.2 | even | 4 | inner | 165.2.k.c.122.8 | yes | 16 | |
15.8 | even | 4 | 825.2.k.j.782.1 | 16 | |||
15.14 | odd | 2 | 825.2.k.i.518.8 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.k.c.23.8 | ✓ | 16 | 1.1 | even | 1 | trivial | |
165.2.k.c.122.8 | yes | 16 | 15.2 | even | 4 | inner | |
165.2.k.d.23.1 | yes | 16 | 3.2 | odd | 2 | ||
165.2.k.d.122.1 | yes | 16 | 5.2 | odd | 4 | ||
825.2.k.i.518.8 | 16 | 15.14 | odd | 2 | |||
825.2.k.i.782.8 | 16 | 5.3 | odd | 4 | |||
825.2.k.j.518.1 | 16 | 5.4 | even | 2 | |||
825.2.k.j.782.1 | 16 | 15.8 | even | 4 |