Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [990,2,Mod(73,990)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(990, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 15, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("990.73");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 990.bh (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | no (minimal twist has level 110) |
Sato-Tate group: |
Embedding invariants
Embedding label | 73.1 | ||
Character | 990.73 | ||
Dual form | 990.2.bh.c.217.1 |
-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 .
−0.156434 | − | 0.987688i | −0.110616 | − | 0.698401i | |||||
0 | 0 | |||||||||
−0.951057 | + | 0.309017i | −0.475528 | + | 0.154508i | |||||
−2.14909 | − | 0.617590i | −0.961102 | − | 0.276195i | |||||
0 | 0 | |||||||||
−0.00697389 | + | 0.0136870i | −0.00263588 | + | 0.00517321i | −0.892321 | − | 0.451402i | ||
0.889685 | + | 0.456575i | ||||||||
0.453990 | + | 0.891007i | 0.160510 | + | 0.315018i | |||||
0 | 0 | |||||||||
−0.273795 | + | 2.21924i | −0.0865816 | + | 0.701786i | |||||
−2.43343 | + | 2.25353i | −0.733708 | + | 0.679465i | |||||
0 | 0 | |||||||||
−2.31203 | + | 0.366190i | −0.641242 | + | 0.101563i | −0.468584 | − | 0.883419i | ||
−0.172658 | + | 0.984982i | ||||||||
0.0146095 | + | 0.00474691i | 0.00390455 | + | 0.00126866i | |||||
0 | 0 | |||||||||
0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | |||||
3.88580 | + | 0.615451i | 0.942446 | + | 0.149269i | 0.608705 | − | 0.793396i | ||
0.333740 | + | 0.942665i | ||||||||
0 | 0 | |||||||||
1.78456 | − | 5.49230i | 0.409406 | − | 1.26002i | −0.507755 | − | 0.861502i | ||
0.917160 | − | 0.398519i | ||||||||
2.23475 | − | 0.0767418i | 0.499705 | − | 0.0171600i | |||||
0 | 0 | |||||||||
2.60646 | + | 2.05094i | 0.555699 | + | 0.437263i | |||||
4.75841 | + | 4.75841i | 0.992196 | + | 0.992196i | 0.999970 | − | 0.00777340i | ||
−0.00777340 | + | 0.999970i | ||||||||
0 | 0 | |||||||||
4.23716 | + | 2.65451i | 0.847433 | + | 0.530902i | |||||
0.723362 | + | 2.22628i | 0.141863 | + | 0.436609i | |||||
0 | 0 | |||||||||
0.00240304 | − | 0.0151722i | 0.000454132 | − | 0.00286728i | |||||
1.28099 | + | 3.94247i | 0.237873 | + | 0.732099i | 0.996727 | + | 0.0808379i | ||
−0.758854 | + | 0.651261i | ||||||||
0 | 0 | |||||||||
4.70277 | + | 3.41676i | 0.844642 | + | 0.613668i | 0.923663 | − | 0.383205i | ||
−0.0790218 | + | 0.996873i | ||||||||
−0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | |||||
0 | 0 | |||||||||
− | 3.93424i | − | 0.674716i | |||||||
0.0234405 | − | 0.0251076i | 0.00396217 | − | 0.00424397i | |||||
0 | 0 | |||||||||
−1.00521 | − | 0.512178i | −0.165255 | − | 0.0842015i | 0.369407 | − | 0.929268i | ||
−0.534662 | + | 0.845066i | ||||||||
−5.70385 | − | 0.903401i | −0.925287 | − | 0.146551i | |||||
0 | 0 | |||||||||
−0.425389 | − | 2.19523i | −0.0672599 | − | 0.347097i | |||||
4.46390 | + | 1.45041i | 0.697144 | + | 0.226516i | 0.636086 | − | 0.771618i | ||
0.0610584 | + | 0.998134i | ||||||||
0 | 0 | |||||||||
−5.68946 | + | 5.68946i | −0.867634 | + | 0.867634i | −0.992210 | − | 0.124576i | ||
0.124576 | + | 0.992210i | ||||||||
1.61795 | − | 2.89521i | 0.243915 | − | 0.436469i | |||||
0 | 0 | |||||||||
3.95544 | − | 5.44420i | 0.583198 | − | 0.802704i | |||||
0.703097 | + | 1.37991i | 0.102557 | + | 0.201280i | 0.936583 | − | 0.350445i | ||
−0.834026 | + | 0.551725i | ||||||||
0 | 0 | |||||||||
4.11436 | + | 5.66293i | 0.587765 | + | 0.808990i | |||||
1.95899 | − | 4.60026i | 0.277043 | − | 0.650574i | |||||
0 | 0 | |||||||||
2.08571 | − | 1.06272i | 0.289236 | − | 0.147373i | |||||
−2.19559 | − | 13.8624i | −0.301587 | − | 1.90415i | −0.413635 | − | 0.910443i | ||
0.112048 | − | 0.993703i | ||||||||
0 | 0 | |||||||||
6.62142 | − | 3.34018i | 0.892832 | − | 0.450389i | |||||
−0.0153613 | −0.00205274 | |||||||||
0 | 0 | |||||||||
3.69354 | − | 1.88195i | 0.484986 | − | 0.247113i | |||||
−1.86696 | + | 0.606613i | −0.243058 | + | 0.0789743i | −0.428013 | − | 0.903773i | ||
0.184955 | + | 0.982747i | ||||||||
0 | 0 | |||||||||
4.84534 | + | 6.66904i | 0.620382 | + | 0.853883i | 0.997381 | − | 0.0723312i | ||
−0.376999 | + | 0.926214i | ||||||||
2.63902 | − | 5.17937i | 0.335156 | − | 0.657780i | |||||
0 | 0 | |||||||||
−0.587785 | + | 0.809017i | −0.0734732 | + | 0.101127i | |||||
5.19491 | + | 0.640913i | 0.644350 | + | 0.0794955i | |||||
0 | 0 | |||||||||
3.67640 | − | 3.67640i | 0.449143 | − | 0.449143i | −0.445926 | − | 0.895070i | ||
0.895070 | + | 0.445926i | ||||||||
−3.88580 | + | 0.615451i | −0.471223 | + | 0.0746344i | |||||
0 | 0 | |||||||||
−0.0284654 | − | 0.0192242i | −0.00340227 | − | 0.00229773i | |||||
5.20051 | − | 3.77839i | 0.617187 | − | 0.448413i | −0.234751 | − | 0.972056i | ||
0.851938 | + | 0.523643i | ||||||||
0 | 0 | |||||||||
4.10721 | + | 2.09273i | 0.480713 | + | 0.244935i | 0.677517 | − | 0.735508i | ||
−0.196804 | + | 0.980443i | ||||||||
−0.348623 | + | 1.07295i | −0.0405266 | + | 0.124728i | |||||
0 | 0 | |||||||||
5.77495i | 0.662432i | |||||||||
−0.0138737 | − | 0.0490224i | −0.00158105 | − | 0.00558662i | |||||
0 | 0 | |||||||||
3.84472 | + | 2.79336i | 0.432565 | + | 0.314277i | 0.782674 | − | 0.622432i | ||
−0.350109 | + | 0.936709i | ||||||||
−2.10166 | + | 0.763562i | −0.234973 | + | 0.0853688i | |||||
0 | 0 | |||||||||
0.734244 | − | 4.63584i | 0.0810837 | − | 0.511943i | |||||
−2.08413 | + | 13.1587i | −0.228763 | + | 1.44436i | 0.559405 | + | 0.828895i | ||
−0.788168 | + | 0.615460i | ||||||||
0 | 0 | |||||||||
−7.97084 | − | 3.72249i | −0.864559 | − | 0.403761i | |||||
6.50944 | + | 4.72938i | 0.701931 | + | 0.509983i | |||||
0 | 0 | |||||||||
−3.11267 | − | 1.14512i | −0.331811 | − | 0.122070i | |||||
9.48232i | 1.00512i | 0.864541 | + | 0.502562i | ||||||
−0.864541 | + | 0.502562i | ||||||||
0 | 0 | |||||||||
0.0111118 | − | 0.0341986i | 0.00116483 | − | 0.00358499i | |||||
−5.99594 | − | 3.05509i | −0.625120 | − | 0.318515i | |||||
0 | 0 | |||||||||
1.25293 | − | 0.910306i | 0.129230 | − | 0.0938909i | |||||
−7.22716 | + | 10.7013i | −0.741491 | + | 1.09793i | |||||
0 | 0 | |||||||||
4.39615 | − | 0.696283i | 0.446362 | − | 0.0706968i | 0.0707925 | − | 0.997491i | ||
0.375569 | + | 0.926794i | ||||||||
4.94958 | − | 4.94958i | 0.499983 | − | 0.499983i | |||||
0 | 0 | |||||||||
−4.85007 | − | 1.21523i | −0.485007 | − | 0.121523i | |||||
10.2067 | − | 14.0483i | 1.01561 | − | 1.39786i | 0.100365 | − | 0.994951i | ||
0.915240 | − | 0.402910i | ||||||||
0 | 0 | |||||||||
−0.155063 | + | 0.304328i | −0.0152788 | + | 0.0299864i | −0.898520 | − | 0.438933i | ||
0.883241 | + | 0.468919i | ||||||||
−1.37592 | − | 1.89379i | −0.134920 | − | 0.185701i | |||||
0 | 0 | |||||||||
−13.3483 | + | 4.33711i | −1.29650 | + | 0.421257i | |||||
2.04336 | − | 1.04115i | 0.197539 | − | 0.100651i | −0.352423 | − | 0.935841i | ||
0.549962 | + | 0.835190i | ||||||||
0 | 0 | |||||||||
−2.42843 | −0.232602 | −0.116301 | − | 0.993214i | ||||||
−0.116301 | + | 0.993214i | ||||||||
−4.33487 | − | 6.01738i | −0.413314 | − | 0.573735i | |||||
0 | 0 | |||||||||
0.00240304 | + | 0.0151722i | 0.000227066 | + | 0.00143364i | |||||
−9.70357 | + | 4.94421i | −0.912835 | + | 0.465113i | −0.846321 | − | 0.532673i | ||
−0.0665137 | + | 0.997786i | ||||||||
0 | 0 | |||||||||
−7.28749 | − | 13.1650i | −0.679562 | − | 1.22764i | |||||
−2.43658 | − | 3.35367i | −0.226231 | − | 0.311380i | |||||
0 | 0 | |||||||||
0.891202 | + | 1.74908i | 0.0820418 | + | 0.161016i | |||||
−0.0355229 | + | 0.0488930i | −0.00325638 | + | 0.00448202i | |||||
0 | 0 | |||||||||
0.843188 | − | 10.9676i | 0.0766535 | − | 0.997058i | |||||
5.82895 | − | 5.82895i | 0.527728 | − | 0.527728i | |||||
0 | 0 | |||||||||
−5.52843 | − | 1.79630i | −0.496468 | − | 0.161312i | |||||
−7.46664 | − | 8.32161i | −0.667837 | − | 0.744308i | |||||
0 | 0 | |||||||||
−17.3079 | − | 2.74131i | −1.53583 | − | 0.243252i | −0.669535 | − | 0.742781i | ||
−0.866297 | + | 0.499529i | ||||||||
0.891007 | + | 0.453990i | 0.0787546 | + | 0.0401275i | |||||
0 | 0 | |||||||||
−0.179641 | − | 5.23122i | −0.0157556 | − | 0.458808i | |||||
3.65271i | 0.319138i | 0.987187 | + | 0.159569i | ||||||
−0.987187 | + | 0.159569i | ||||||||
0 | 0 | |||||||||
0.0627280 | + | 0.0627280i | 0.00543921 | + | 0.00543921i | |||||
−4.20625 | − | 3.05602i | −0.363364 | − | 0.264000i | |||||
0 | 0 | |||||||||
1.21575 | + | 3.74168i | 0.104249 | + | 0.320847i | |||||
−2.63360 | + | 16.6279i | −0.225004 | + | 1.42062i | 0.573784 | + | 0.819006i | ||
−0.798788 | + | 0.601612i | ||||||||
0 | 0 | |||||||||
6.84479 | + | 21.0661i | 0.580567 | + | 1.78680i | 0.616386 | + | 0.787444i | ||
−0.0358190 | + | 0.999358i | ||||||||
−0.0145345 | + | 0.0311223i | −0.00122839 | + | 0.00263031i | |||||
0 | 0 | |||||||||
−4.54541 | − | 4.54541i | −0.381443 | − | 0.381443i | |||||
4.80095 | − | 6.10133i | 0.401476 | − | 0.510219i | |||||
0 | 0 | |||||||||
−0.318123 | − | 9.26385i | −0.0264186 | − | 0.769321i | |||||
1.42445 | − | 4.38402i | 0.117889 | − | 0.362824i | |||||
0 | 0 | |||||||||
1.11428 | + | 0.176484i | 0.0915932 | + | 0.0145069i | |||||
−11.4310 | + | 8.30508i | −0.936461 | + | 0.680379i | −0.947566 | − | 0.319560i | ||
0.0111054 | + | 0.999938i | ||||||||
0 | 0 | |||||||||
3.14883 | + | 1.02312i | 0.256248 | + | 0.0832600i | 0.434324 | − | 0.900757i | ||
−0.178076 | + | 0.984017i | ||||||||
5.70385 | − | 0.903401i | 0.462643 | − | 0.0732755i | |||||
0 | 0 | |||||||||
−0.0462485 | + | 0.0213716i | −0.00372681 | + | 0.00172218i | |||||
−7.99650 | − | 10.2473i | −0.642295 | − | 0.823083i | |||||
0 | 0 | |||||||||
5.84266 | + | 11.4669i | 0.466295 | + | 0.915155i | 0.997683 | + | 0.0680269i | ||
−0.531389 | + | 0.847128i | ||||||||
2.15752 | − | 4.23437i | 0.171643 | − | 0.336868i | |||||
0 | 0 | |||||||||
1.08293 | + | 1.95634i | 0.0856134 | + | 0.154662i | |||||
−0.0983131 | + | 0.0319439i | −0.00774816 | + | 0.00251753i | |||||
0 | 0 | |||||||||
−0.263165 | − | 1.66156i | −0.0206127 | − | 0.130143i | 0.975236 | − | 0.221166i | ||
−0.995849 | + | 0.0910229i | ||||||||
−4.69362 | −0.366510 | |||||||||
0 | 0 | |||||||||
13.3227 | 1.03404 | |||||||||
−2.54594 | − | 16.0744i | −0.197011 | − | 1.24388i | −0.865787 | − | 0.500413i | ||
0.668776 | − | 0.743464i | ||||||||
0 | 0 | |||||||||
−7.15235 | + | 2.32394i | −0.550181 | + | 0.178764i | |||||
−2.42975 | + | 8.45503i | −0.186353 | + | 0.648471i | |||||
0 | 0 | |||||||||
3.65286 | − | 7.16914i | 0.278528 | − | 0.546642i | |||||
−6.86850 | − | 13.4802i | −0.522202 | − | 1.02488i | −0.990003 | − | 0.141046i | ||
0.467801 | − | 0.883834i | ||||||||
0 | 0 | |||||||||
−0.0658819 | + | 0.0394819i | −0.00498021 | + | 0.00298455i | |||||
−0.644096 | + | 3.25348i | −0.0485505 | + | 0.245240i | |||||
0 | 0 | |||||||||
9.36557 | − | 1.48336i | 0.701979 | − | 0.111183i | |||||
22.4795 | + | 7.30404i | 1.68020 | + | 0.545930i | 0.984950 | − | 0.172839i | ||
0.695249 | + | 0.718769i | ||||||||
0 | 0 | |||||||||
−15.4698 | + | 11.2395i | −1.14986 | + | 0.835423i | −0.988462 | − | 0.151466i | ||
−0.161399 | + | 0.986889i | ||||||||
−0.0355158 | − | 0.00562515i | −0.00263261 | − | 0.000416964i | |||||
0 | 0 | |||||||||
−2.07950 | + | 6.40004i | −0.153303 | + | 0.471817i | |||||
1.84396 | + | 1.72152i | 0.135571 | + | 0.126569i | |||||
0 | 0 | |||||||||
−10.8428 | + | 7.25912i | −0.792902 | + | 0.530840i | |||||
−1.09510 | − | 1.09510i | −0.0798683 | − | 0.0798683i | |||||
0 | 0 | |||||||||
11.7001 | + | 5.46413i | 0.848818 | + | 0.396410i | |||||
3.70271 | + | 11.3958i | 0.267919 | + | 0.824569i | 0.991007 | + | 0.133813i | ||
−0.723088 | + | 0.690756i | ||||||||
0 | 0 | |||||||||
2.50920 | − | 15.8424i | 0.180616 | − | 1.14036i | −0.716179 | − | 0.697917i | ||
0.896795 | − | 0.442447i | ||||||||
−1.37542 | − | 4.23311i | −0.0987494 | − | 0.303919i | |||||
0 | 0 | |||||||||
−5.66293 | − | 4.11436i | −0.404495 | − | 0.293883i | |||||
−5.90309 | − | 5.90309i | −0.420578 | − | 0.420578i | 0.464825 | − | 0.885403i | ||
−0.885403 | + | 0.464825i | ||||||||
0 | 0 | |||||||||
8.46646i | 0.600171i | 0.953912 | + | 0.300086i | ||||||
−0.953912 | + | 0.300086i | ||||||||
−0.441555 | + | 4.98046i | −0.0312226 | + | 0.352172i | |||||
0 | 0 | |||||||||
−15.4720 | − | 7.88340i | −1.08861 | − | 0.554674i | |||||
−0.0628942 | − | 0.00996146i | −0.00441431 | − | 0.000699158i | |||||
0 | 0 | |||||||||
−8.69756 | − | 5.87392i | −0.607464 | − | 0.410252i | |||||
0.324839 | + | 0.105546i | 0.0226326 | + | 0.00735377i | |||||
0 | 0 | |||||||||
−1.65523 | + | 1.65523i | −0.114770 | + | 0.114770i | |||||
8.03448 | + | 17.3867i | 0.555757 | + | 1.20266i | |||||
0 | 0 | |||||||||
4.11272 | − | 5.66067i | 0.283131 | − | 0.389697i | −0.643637 | − | 0.765331i | ||
0.926768 | + | 0.375635i | ||||||||
6.37184 | + | 12.5054i | 0.437620 | + | 0.858877i | |||||
0 | 0 | |||||||||
−1.34798 | − | 1.85533i | −0.0921460 | − | 0.126828i | |||||
15.7409 | − | 8.71340i | 1.07352 | − | 0.594249i | |||||
0 | 0 | |||||||||
−0.0795619 | + | 0.0405388i | −0.00540101 | + | 0.00275195i | |||||
0.379891 | + | 2.39853i | 0.0257294 | + | 0.162449i | |||||
0 | 0 | |||||||||
−5.26518 | + | 5.22283i | −0.354978 | + | 0.352123i | |||||
−9.20946 | −0.619496 | |||||||||
0 | 0 | |||||||||
−16.6612 | + | 8.48928i | −1.11571 | + | 0.568484i | −0.911854 | − | 0.410516i | ||
−0.203860 | + | 0.979000i | ||||||||
0.0146095 | − | 0.00474691i | 0.000976137 | − | 0.000317166i | |||||
0 | 0 | |||||||||
6.40132 | + | 8.81066i | 0.425809 | + | 0.586076i | |||||
4.59950 | − | 9.02703i | 0.305280 | − | 0.599145i | −0.686496 | − | 0.727134i | ||
0.991776 | + | 0.127989i | ||||||||
0 | 0 | |||||||||
6.38012 | − | 8.78149i | 0.421610 | − | 0.580297i | −0.544392 | − | 0.838831i | ||
0.966002 | + | 0.258534i | ||||||||
−11.8629 | + | 9.25723i | −0.782215 | + | 0.610404i | |||||
0 | 0 | |||||||||
−2.93121 | + | 2.93121i | −0.192444 | + | 0.192444i | |||||
4.69333 | − | 0.743350i | 0.307470 | − | 0.0486985i | −0.000792791 | − | 1.00000i | ||
0.308263 | + | 0.951301i | ||||||||
0 | 0 | |||||||||
−0.658802 | − | 3.39977i | −0.0429755 | − | 0.221776i | |||||
1.58813 | − | 1.15385i | 0.103379 | − | 0.0751091i | |||||
0 | 0 | |||||||||
0.0538481 | + | 0.0274370i | 0.00349045 | + | 0.00177847i | |||||
−4.17166 | + | 12.8391i | −0.269842 | + | 0.830490i | 0.720696 | + | 0.693252i | ||
−0.990538 | + | 0.137238i | ||||||||
0 | 0 | |||||||||
− | 21.5441i | − | 1.38778i | −0.720081 | − | 0.693890i | ||||
0.720081 | − | 0.693890i | ||||||||
−10.9645 | + | 0.882909i | −0.704825 | + | 0.0567555i | |||||
0 | 0 | |||||||||
−6.66904 | − | 4.84534i | −0.426941 | − | 0.310191i | |||||
−5.34475 | − | 14.7111i | −0.341464 | − | 0.939859i | |||||
0 | 0 | |||||||||
−2.11473 | + | 13.3519i | −0.134557 | + | 0.849558i | |||||
−0.909344 | + | 5.74137i | −0.0577434 | + | 0.364577i | |||||
0 | 0 | |||||||||
−7.05112 | + | 8.67650i | −0.445952 | + | 0.548750i | |||||
15.8467 | + | 11.5133i | 1.00023 | + | 0.726713i | 0.962138 | − | 0.272561i | ||
0.0380961 | + | 0.999274i | ||||||||
0 | 0 | |||||||||
−22.3025 | − | 0.856041i | −1.40215 | − | 0.0538188i | |||||
17.5237i | 1.09953i | |||||||||
0 | 0 | |||||||||
0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | |||||
−17.5999 | − | 8.96760i | −1.09785 | − | 0.559384i | −0.191323 | − | 0.981527i | ||
−0.906529 | + | 0.422143i | ||||||||
0 | 0 | |||||||||
0.0140204 | − | 0.0101864i | 0.000871185 | − | 0.000632953i | |||||
−5.13871 | + | 0.995772i | −0.318689 | + | 0.0617551i | |||||
0 | 0 | |||||||||
3.60774 | − | 0.571409i | 0.222887 | − | 0.0353018i | |||||
−20.0880 | + | 20.0880i | −1.23868 | + | 1.23868i | −0.278140 | + | 0.960541i | ||
−0.960541 | + | 0.278140i | ||||||||
0 | 0 | |||||||||
−3.84276 | + | 31.1475i | −0.236059 | + | 1.91337i | |||||
0.0521429 | − | 0.0717686i | 0.00319709 | − | 0.00440041i | |||||
0 | 0 | |||||||||
−2.36039 | + | 4.63253i | −0.144184 | + | 0.282977i | |||||
5.50591 | + | 7.57823i | 0.335701 | + | 0.462053i | 0.943180 | − | 0.332283i | ||
−0.607479 | + | 0.794336i | ||||||||
0 | 0 | |||||||||
5.85356 | − | 1.90194i | 0.355578 | − | 0.115534i | −0.125780 | − | 0.992058i | ||
0.481359 | + | 0.876524i | ||||||||
3.50543 | − | 1.78611i | 0.212548 | − | 0.108299i | |||||
0 | 0 | |||||||||
16.8352 | 1.01705 | |||||||||
−16.2929 | + | 3.08901i | −0.982498 | + | 0.186274i | |||||
0 | 0 | |||||||||
−4.66256 | − | 29.4382i | −0.280146 | − | 1.76877i | −0.579834 | − | 0.814734i | ||
0.299688 | − | 0.954037i | ||||||||
19.7360 | − | 10.0560i | 1.18368 | − | 0.603117i | |||||
0 | 0 | |||||||||
0.0330128 | + | 0.00948700i | 0.00197289 | + | 0.000566957i | |||||
−3.35941 | − | 4.62383i | −0.200406 | − | 0.275835i | 0.696972 | − | 0.717099i | ||
−0.897377 | + | 0.441264i | ||||||||
0 | 0 | |||||||||
−1.97387 | − | 3.87395i | −0.117335 | − | 0.230282i | 0.824868 | − | 0.565325i | ||
−0.942203 | + | 0.335043i | ||||||||
−3.77839 | + | 5.20051i | −0.224206 | + | 0.308594i | |||||
0 | 0 | |||||||||
−6.77725 | − | 3.78738i | −0.400747 | − | 0.223953i | |||||
−0.0509826 | + | 0.0509826i | −0.00300941 | + | 0.00300941i | |||||
0 | 0 | |||||||||
−1.44728 | − | 0.470250i | −0.0851341 | − | 0.0276618i | |||||
−9.10003 | + | 1.76339i | −0.534372 | + | 0.103550i | |||||
0 | 0 | |||||||||
−4.55288 | − | 0.721105i | −0.266437 | − | 0.0421995i | |||||
−12.1120 | − | 6.17139i | −0.707593 | − | 0.360537i | 0.0628696 | − | 0.998022i | ||
−0.770463 | + | 0.637485i | ||||||||
0 | 0 | |||||||||
4.38691 | − | 0.150647i | 0.255416 | − | 0.00877103i | |||||
− | 1.12817i | − | 0.0655735i | |||||||
0 | 0 | |||||||||
9.99102 | + | 9.99102i | 0.578765 | + | 0.578765i | |||||
−12.7441 | − | 9.25910i | −0.737008 | − | 0.535468i | |||||
0 | 0 | |||||||||
−0.0381941 | − | 0.117549i | −0.00220147 | − | 0.00677544i | |||||
0.517934 | − | 3.27011i | 0.0298038 | − | 0.188174i | |||||
0 | 0 | |||||||||
−1.78456 | − | 5.49230i | −0.102351 | − | 0.315005i | |||||
−6.29433 | − | 17.3248i | −0.360412 | − | 0.992014i | |||||
0 | 0 | |||||||||
16.8816 | + | 16.8816i | 0.963484 | + | 0.963484i | 0.999356 | − | 0.0358726i | ||
−0.0358726 | + | 0.999356i | ||||||||
0.0283434 | + | 0.0423358i | 0.00161501 | + | 0.00241231i | |||||
0 | 0 | |||||||||
−8.87021 | + | 9.50108i | −0.503794 | + | 0.539625i | |||||
−8.96103 | + | 27.5792i | −0.508133 | + | 1.56387i | 0.287305 | + | 0.957839i | ||
−0.795439 | + | 0.606034i | ||||||||
0 | 0 | |||||||||
17.0901 | + | 2.70681i | 0.965990 | + | 0.152998i | 0.619449 | − | 0.785037i | ||
0.346541 | + | 0.938035i | ||||||||
10.4117 | − | 7.56454i | 0.587566 | − | 0.426891i | |||||
0 | 0 | |||||||||
−4.51974 | − | 1.46855i | −0.254255 | − | 0.0826126i | |||||
20.4927 | − | 3.24572i | 1.15098 | − | 0.182298i | 0.448355 | − | 0.893855i | ||
0.702628 | + | 0.711558i | ||||||||
0 | 0 | |||||||||
−12.0017 | − | 6.70700i | −0.671965 | − | 0.375520i | |||||
1.76284 | − | 1.37564i | 0.0985460 | − | 0.0769006i | |||||
0 | 0 | |||||||||
0.0469301 | + | 0.0921056i | 0.00261531 | + | 0.00513284i | |||||
10.3147 | − | 20.2437i | 0.573924 | − | 1.12639i | |||||
0 | 0 | |||||||||
−10.7685 | − | 4.58571i | −0.597329 | − | 0.254369i | |||||
−1.59994 | + | 0.519851i | −0.0886122 | + | 0.0287919i | |||||
0 | 0 | |||||||||
0.734244 | + | 4.63584i | 0.0405419 | + | 0.255971i | |||||
−0.0237901 | −0.00131159 | |||||||||
0 | 0 | |||||||||
27.7235 | 1.52382 | 0.761912 | − | 0.647681i | ||||||
0.761912 | + | 0.647681i | ||||||||
−2.08413 | − | 13.1587i | −0.114382 | − | 0.722178i | |||||
0 | 0 | |||||||||
−15.4782 | + | 5.02919i | −0.846932 | + | 0.275185i | |||||
−10.1714 | + | 5.63039i | −0.555723 | + | 0.307621i | |||||
0 | 0 | |||||||||
3.19123 | − | 6.26314i | 0.173837 | − | 0.341175i | −0.787606 | − | 0.616180i | ||
0.961443 | + | 0.275005i | ||||||||
3.41420 | + | 6.70075i | 0.185708 | + | 0.364473i | |||||
0 | 0 | |||||||||
8.73103 | + | 1.07718i | 0.473507 | + | 0.0584180i | |||||
−19.1436 | + | 2.28338i | −1.03669 | + | 0.123652i | |||||
0 | 0 | |||||||||
−0.212407 | + | 0.0336420i | −0.0114689 | + | 0.00181650i | |||||
−7.65230 | − | 2.48638i | −0.412585 | − | 0.134057i | |||||
0 | 0 | |||||||||
−12.2398 | + | 8.89270i | −0.658013 | + | 0.478075i | |||||
21.4415 | + | 3.39601i | 1.15104 | + | 0.182307i | 0.702654 | − | 0.711532i | ||
0.448388 | + | 0.893839i | ||||||||
0 | 0 | |||||||||
−3.67193 | + | 11.3010i | −0.196554 | + | 0.604930i | 0.803401 | + | 0.595438i | ||
−0.999955 | + | 0.00949216i | ||||||||
0.0493021 | + | 0.0588945i | 0.00263531 | + | 0.00314804i | |||||
0 | 0 | |||||||||
3.31418 | + | 0.127209i | 0.176647 | + | 0.00678026i | |||||
−0.766521 | − | 0.766521i | −0.0407978 | − | 0.0407978i | 0.686414 | − | 0.727211i | ||
−0.727211 | + | 0.686414i | ||||||||
0 | 0 | |||||||||
−13.5099 | + | 4.90832i | −0.717029 | + | 0.260506i | |||||
−2.93020 | − | 9.01822i | −0.155300 | − | 0.477965i | |||||
0 | 0 | |||||||||
3.69755 | − | 23.3454i | 0.195421 | − | 1.23384i | |||||
−2.56417 | − | 7.89171i | −0.135332 | − | 0.416508i | 0.860310 | − | 0.509772i | ||
−0.995641 | + | 0.0932633i | ||||||||
0 | 0 | |||||||||
−11.6094 | − | 8.43474i | −0.611022 | − | 0.443934i | |||||
13.5211 | + | 13.5211i | 0.710653 | + | 0.710653i | |||||
0 | 0 | |||||||||
0.0359585i | 0.00188474i | |||||||||
−7.53431 | − | 7.03403i | −0.394364 | − | 0.368178i | |||||
0 | 0 | |||||||||
13.4231 | + | 6.83943i | 0.700683 | + | 0.357016i | 0.767765 | − | 0.640732i | ||
−0.0670822 | + | 0.997747i | ||||||||
6.64655 | + | 1.05271i | 0.346476 | + | 0.0548763i | |||||
0 | 0 | |||||||||
1.41187 | − | 2.09056i | 0.0733995 | − | 0.108683i | |||||
0.205047 | + | 0.0666237i | 0.0106455 | + | 0.00345893i | |||||
0 | 0 | |||||||||
−5.33739 | + | 5.33739i | −0.276360 | + | 0.276360i | −0.831654 | − | 0.555294i | ||
0.555294 | + | 0.831654i | ||||||||
8.86593 | + | 9.57371i | 0.458447 | + | 0.495045i | |||||
0 | 0 | |||||||||
−0.910306 | + | 1.25293i | −0.0469454 | + | 0.0646149i | |||||
−4.40537 | − | 8.64603i | −0.226888 | − | 0.445293i | |||||
0 | 0 | |||||||||
5.86042 | + | 8.06617i | 0.301029 | + | 0.414331i | 0.932557 | − | 0.361022i | ||
−0.631528 | + | 0.775353i | ||||||||
3.56655 | − | 12.4109i | 0.182960 | − | 0.636665i | |||||
0 | 0 | |||||||||
10.6762 | − | 5.43982i | 0.546244 | − | 0.278325i | |||||
3.72711 | + | 23.5321i | 0.190447 | + | 1.20243i | 0.878848 | + | 0.477103i | ||
−0.688401 | + | 0.725330i | ||||||||
0 | 0 | |||||||||
−0.000459977 | 0.113922i | −2.34426e−5 | 0.00580598i | |||||||
−16.0399 | −0.816410 | |||||||||
0 | 0 | |||||||||
−3.96583 | + | 2.02069i | −0.201334 | + | 0.102585i | |||||
4.97947 | − | 1.61793i | 0.252469 | − | 0.0820322i | −0.180048 | − | 0.983658i | ||
0.432517 | + | 0.901626i | ||||||||
0 | 0 | |||||||||
15.5617 | + | 21.4188i | 0.786987 | + | 1.08319i | |||||
−3.17783 | + | 6.23684i | −0.160504 | + | 0.315008i | |||||
0 | 0 | |||||||||
−4.90697 | + | 6.75386i | −0.247209 | + | 0.340255i | |||||
−6.53750 | − | 8.37763i | −0.328938 | − | 0.421524i | |||||
0 | 0 | |||||||||
1.68624 | − | 1.68624i | 0.0846300 | − | 0.0846300i | −0.663525 | − | 0.748155i | ||
0.748155 | + | 0.663525i | ||||||||
8.36222 | − | 1.32445i | 0.419160 | − | 0.0663885i | |||||
0 | 0 | |||||||||
4.98822 | − | 0.342998i | 0.249411 | − | 0.0171499i | |||||
12.7078 | − | 9.23274i | 0.634596 | − | 0.461061i | −0.223393 | − | 0.974728i | ||
0.857989 | + | 0.513667i | ||||||||
0 | 0 | |||||||||
−12.1241 | − | 6.17755i | −0.603945 | − | 0.307725i | |||||
−5.36598 | + | 16.5148i | −0.266968 | + | 0.821642i | |||||
0 | 0 | |||||||||
0.0636782i | 0.00316030i | |||||||||
3.60031 | − | 1.01891i | 0.178461 | − | 0.0505056i | |||||
0 | 0 | |||||||||
1.39836 | + | 1.01597i | 0.0691444 | + | 0.0502363i | 0.621820 | − | 0.783160i | ||
−0.552676 | + | 0.833396i | ||||||||
−4.44100 | + | 9.50936i | −0.219326 | + | 0.469634i | |||||
0 | 0 | |||||||||
0.0534311 | − | 0.337350i | 0.00263236 | − | 0.0166201i | |||||
0.00471727 | − | 0.0297837i | 0.000232122 | − | 0.00146556i | |||||
0 | 0 | |||||||||
12.6057 | − | 26.9921i | 0.618788 | − | 1.32499i | |||||
1.89379 | + | 1.37592i | 0.0928506 | + | 0.0674599i | |||||
0 | 0 | |||||||||
15.9158 | − | 10.6554i | 0.778466 | − | 0.521175i | |||||
16.7994i | 0.820703i | 0.911927 | + | 0.410351i | ||||||
−0.911927 | + | 0.410351i | ||||||||
0 | 0 | |||||||||
3.47207 | − | 10.6859i | 0.169219 | − | 0.520801i | −0.830104 | − | 0.557609i | ||
0.999322 | + | 0.0368077i | ||||||||
−6.23435 | − | 3.17656i | −0.303483 | − | 0.154632i | |||||
0 | 0 | |||||||||
11.3547 | − | 8.24968i | 0.551433 | − | 0.400640i | |||||
14.8311 | + | 12.9227i | 0.719412 | + | 0.626842i | |||||
0 | 0 | |||||||||
−0.125070 | + | 0.0198092i | −0.00605257 | + | 0.000958633i | |||||
−1.62162 | + | 1.62162i | −0.0783840 | + | 0.0783840i | |||||
0 | 0 | |||||||||
−11.0685 | − | 14.1840i | −0.533772 | − | 0.684015i | |||||
22.5280 | − | 31.0071i | 1.08513 | − | 1.49356i | 0.231392 | − | 0.972861i | ||
0.853741 | − | 0.520697i | ||||||||
0 | 0 | |||||||||
8.91179 | − | 17.4904i | 0.428273 | − | 0.840533i | −0.571528 | − | 0.820583i | ||
0.999801 | − | 0.0199507i | ||||||||
0.0524859 | + | 0.0722407i | 0.00251940 | + | 0.00346766i | |||||
0 | 0 | |||||||||
2.30958 | − | 0.750427i | 0.110609 | − | 0.0359389i | |||||
34.6263 | − | 17.6430i | 1.65640 | − | 0.843977i | |||||
0 | 0 | |||||||||
1.05214 | 0.0502158 | 0.0251079 | − | 0.999685i | ||||||
0.0251079 | + | 0.999685i | ||||||||
5.98218 | + | 4.38332i | 0.285189 | + | 0.208967i | |||||
0 | 0 | |||||||||
1.44068 | + | 9.09608i | 0.0685260 | + | 0.432656i | |||||
0.280755 | − | 0.143052i | 0.0133391 | − | 0.00679659i | −0.447308 | − | 0.894380i | ||
0.460647 | + | 0.887583i | ||||||||
0 | 0 | |||||||||
5.85619 | − | 20.3783i | 0.277610 | − | 0.966026i | |||||
10.9911 | + | 15.1280i | 0.520446 | + | 0.716332i | |||||
0 | 0 | |||||||||
−0.00697389 | − | 0.0136870i | −0.000329485 | − | 0.000646652i | |||||
19.7505 | − | 27.1842i | 0.932084 | − | 1.28290i | −0.0269576 | − | 0.999637i | ||
0.959041 | − | 0.283266i | ||||||||
0 | 0 | |||||||||
−14.1311 | + | 6.53007i | −0.665410 | + | 0.307489i | |||||
7.70080 | − | 7.70080i | 0.362215 | − | 0.362215i | |||||
0 | 0 | |||||||||
−9.63541 | − | 3.13074i | −0.452212 | − | 0.146933i | |||||
−0.0450010 | + | 0.0666333i | −0.00210968 | + | 0.00312382i | |||||
0 | 0 | |||||||||
29.5629 | + | 4.68231i | 1.38290 | + | 0.219029i | 0.803154 | − | 0.595771i | ||
0.579742 | + | 0.814800i | ||||||||
−9.67144 | − | 4.92785i | −0.451917 | − | 0.230263i | |||||
0 | 0 | |||||||||
10.9990 | + | 10.2687i | 0.512832 | + | 0.478780i | |||||
− | 27.6150i | − | 1.28616i | −0.765800 | − | 0.643079i | ||||
0.765800 | − | 0.643079i | ||||||||
0 | 0 | |||||||||
−26.6620 | − | 26.6620i | −1.23909 | − | 1.23909i | −0.960373 | − | 0.278717i | ||
−0.278717 | − | 0.960373i | ||||||||
3.35367 | + | 2.43658i | 0.155690 | + | 0.113115i | |||||
0 | 0 | |||||||||
−1.46840 | − | 4.51926i | −0.0680221 | − | 0.209351i | |||||
−4.66728 | + | 29.4680i | −0.215976 | + | 1.36362i | 0.606620 | + | 0.794992i | ||
−0.822596 | + | 0.568626i | ||||||||
0 | 0 | |||||||||
0.0246802 | + | 0.0759577i | 0.00113962 | + | 0.00350740i | |||||
−3.25485 | + | 1.18253i | −0.150135 | + | 0.0545461i | |||||
0 | 0 | |||||||||
−1.38808 | − | 1.38808i | −0.0638916 | − | 0.0638916i | |||||
1.02354 | − | 26.6663i | 0.0470623 | − | 1.22612i | |||||
0 | 0 | |||||||||
22.1408 | − | 18.5347i | 1.01589 | − | 0.850429i | |||||
0.0186755 | − | 0.0574772i | 0.000855989 | − | 0.00263446i | |||||
0 | 0 | |||||||||
13.3336 | + | 2.11183i | 0.609864 | + | 0.0965929i | |||||
5.27658 | − | 3.83366i | 0.241093 | − | 0.175165i | −0.460677 | − | 0.887568i | ||
0.701770 | + | 0.712403i | ||||||||
0 | 0 | |||||||||
2.51162 | + | 0.816075i | 0.114520 | + | 0.0372098i | |||||
−21.2789 | + | 3.37025i | −0.969227 | + | 0.153510i | |||||
0 | 0 | |||||||||
2.58727 | + | 10.6914i | 0.117603 | + | 0.485973i | |||||
−9.87774 | − | 1.21865i | −0.448525 | − | 0.0553360i | |||||
0 | 0 | |||||||||
3.88945 | + | 7.63347i | 0.176248 | + | 0.345906i | 0.962183 | − | 0.272403i | ||
−0.785936 | + | 0.618308i | ||||||||
−3.74242 | + | 7.34491i | −0.169411 | + | 0.332488i | |||||
0 | 0 | |||||||||
−13.6939 | + | 7.58028i | −0.618627 | + | 0.342442i | |||||
24.6223 | − | 8.00027i | 1.11119 | − | 0.361047i | 0.304790 | − | 0.952419i | ||
0.806399 | + | 0.591372i | ||||||||
0 | 0 | |||||||||
2.55126 | + | 16.1081i | 0.114903 | + | 0.725470i | |||||
13.5183 | 0.608217 | |||||||||
0 | 0 | |||||||||
5.81294 | 0.261009 | |||||||||
0.0154472 | + | 0.0975297i | 0.000692901 | + | 0.00437480i | |||||
0 | 0 | |||||||||
15.9071 | − | 5.16853i | 0.712099 | − | 0.231375i | 0.0695049 | − | 0.997582i | ||
0.642594 | + | 0.766207i | ||||||||
9.67272 | + | 5.60700i | 0.432577 | + | 0.250753i | |||||
0 | 0 | |||||||||
8.89258 | − | 17.4527i | 0.396895 | − | 0.778951i | |||||
−6.24553 | − | 12.2575i | −0.278475 | − | 0.546537i | 0.708829 | − | 0.705380i | ||
−0.987304 | + | 0.158843i | ||||||||
0 | 0 | |||||||||
−30.6112 | + | 23.8875i | −1.36218 | + | 1.06298i | |||||
2.64338 | + | 22.1618i | 0.117512 | + | 0.985213i | |||||
0 | 0 | |||||||||
17.3079 | − | 2.74131i | 0.767916 | − | 0.121626i | |||||
−32.6519 | − | 10.6092i | −1.44727 | − | 0.470246i | −0.523113 | − | 0.852263i | ||
−0.924155 | + | 0.382017i | ||||||||
0 | 0 | |||||||||
−0.0572865 | + | 0.0416211i | −0.00253421 | + | 0.00184121i | |||||
−0.987688 | − | 0.156434i | −0.0436501 | − | 0.00691349i | |||||
0 | 0 | |||||||||
−6.10397 | + | 18.7861i | −0.269234 | + | 0.828618i | |||||
0.521194 | − | 0.558263i | 0.0229666 | − | 0.0246000i | |||||
0 | 0 | |||||||||
−4.82060 | − | 1.77346i | −0.212010 | − | 0.0779965i | |||||
−0.0122543 | − | 0.0122543i | −0.000538422 | − | 0.000538422i | |||||
0 | 0 | |||||||||
1.78738 | + | 4.91967i | 0.0783819 | + | 0.215742i | |||||
−1.49330 | − | 4.59591i | −0.0654227 | − | 0.201351i | 0.913002 | − | 0.407956i | ||
−0.978424 | + | 0.206606i | ||||||||
0 | 0 | |||||||||
−2.62342 | + | 16.5636i | −0.114714 | + | 0.724276i | 0.861547 | + | 0.507678i | ||
−0.976261 | + | 0.216598i | ||||||||
−1.12875 | − | 3.47393i | −0.0493096 | − | 0.151759i | |||||
0 | 0 | |||||||||
22.9832 | + | 16.6982i | 1.00211 | + | 0.728078i | |||||
16.1712 | + | 16.1712i | 0.704427 | + | 0.704427i | |||||
0 | 0 | |||||||||
22.2849i | 0.968907i | |||||||||
31.3651 | − | 1.07709i | 1.36241 | − | 0.0467856i | |||||
0 | 0 | |||||||||
−0.0790419 | − | 0.0402739i | −0.00342690 | − | 0.00174609i | |||||
−10.8518 | − | 1.71876i | −0.470044 | − | 0.0744476i | |||||
0 | 0 | |||||||||
−5.03437 | + | 0.975553i | −0.217655 | + | 0.0421768i | |||||
4.94474 | + | 1.60664i | 0.213580 | + | 0.0693964i | |||||
0 | 0 | |||||||||
6.62361 | − | 6.62361i | 0.285564 | − | 0.285564i | |||||
−22.7736 | − | 4.50852i | −0.980928 | − | 0.194196i | |||||
0 | 0 | |||||||||
6.42200 | − | 8.83913i | 0.276103 | − | 0.380024i | −0.648335 | − | 0.761355i | ||
0.924438 | + | 0.381331i | ||||||||
−2.79422 | − | 5.48397i | −0.120022 | − | 0.235556i | |||||
0 | 0 | |||||||||
−2.31249 | − | 3.18287i | −0.0991471 | − | 0.136464i | |||||
5.21892 | + | 1.49978i | 0.223554 | + | 0.0642433i | |||||
0 | 0 | |||||||||
31.3306 | − | 15.9637i | 1.33960 | − | 0.682559i | 0.370407 | − | 0.928870i | ||
0.969191 | + | 0.246310i | ||||||||
−2.63360 | − | 16.6279i | −0.112502 | − | 0.710309i | |||||
0 | 0 | |||||||||
5.59975 | + | 15.6091i | 0.238774 | + | 0.665573i | |||||
23.9392 | 1.01985 | |||||||||
0 | 0 | |||||||||
−0.0650454 | + | 0.0331423i | −0.00276601 | + | 0.00140935i | |||||
−28.3464 | + | 9.21031i | −1.20432 | + | 0.391308i | |||||
0 | 0 | |||||||||
−13.0196 | − | 17.9199i | −0.552152 | − | 0.759972i | |||||
1.38133 | − | 2.71100i | 0.0585286 | − | 0.114869i | −0.859889 | − | 0.510481i | ||
0.918418 | + | 0.395612i | ||||||||
0 | 0 | |||||||||
11.0708 | − | 15.2376i | 0.468244 | − | 0.644483i | |||||
0.00420585 | − | 0.0340905i | 0.000177730 | − | 0.00144059i | |||||
0 | 0 | |||||||||
−4.04138 | + | 4.04138i | −0.170475 | + | 0.170475i | |||||
−36.3351 | + | 5.75492i | −1.53134 | + | 0.242541i | −0.864490 | − | 0.502649i | ||
−0.666852 | + | 0.745190i | ||||||||
0 | 0 | |||||||||
23.9073 | − | 4.63273i | 1.00579 | − | 0.194900i | |||||
−3.51747 | + | 2.55559i | −0.147850 | + | 0.107419i | |||||
0 | 0 | |||||||||
5.72756 | + | 2.91834i | 0.240323 | + | 0.122451i | |||||
5.11991 | − | 15.7575i | 0.214638 | − | 0.660587i | −0.784541 | − | 0.620077i | ||
0.999179 | − | 0.0405107i | ||||||||
0 | 0 | |||||||||
10.4437i | 0.437057i | 0.975831 | + | 0.218529i | ||||||
−0.975831 | + | 0.218529i | ||||||||
−2.68056 | + | 7.28629i | −0.112080 | + | 0.304655i | |||||
0 | 0 | |||||||||
0.0583303 | + | 0.0423795i | 0.00243466 | + | 0.00176888i | |||||
7.53091 | + | 32.7934i | 0.314061 | + | 1.36758i | |||||
0 | 0 | |||||||||
−0.310767 | + | 1.96210i | −0.0129374 | + | 0.0816834i | −0.993312 | − | 0.115459i | ||
0.980375 | + | 0.197142i | ||||||||
−0.238056 | + | 1.50302i | −0.00990181 | + | 0.0625176i | |||||
0 | 0 | |||||||||
3.16524 | + | 8.71214i | 0.131429 | + | 0.361752i | |||||
−0.165569 | − | 0.120293i | −0.00686896 | − | 0.00499059i | |||||
0 | 0 | |||||||||
36.5822 | + | 28.7854i | 1.51508 | + | 1.19217i | |||||
4.60963i | 0.190748i | |||||||||
0 | 0 | |||||||||
−4.20067 | + | 12.9283i | −0.173528 | + | 0.534065i | |||||
−12.4878 | − | 6.36284i | −0.515426 | − | 0.262623i | 0.176873 | − | 0.984234i | ||
−0.692299 | + | 0.721611i | ||||||||
0 | 0 | |||||||||
27.1582 | − | 19.7316i | 1.11904 | − | 0.813027i | |||||
−0.835057 | − | 4.30933i | −0.0343787 | − | 0.177412i | |||||
0 | 0 | |||||||||
−1.11428 | + | 0.176484i | −0.0457966 | + | 0.00725347i | |||||
24.8101 | − | 24.8101i | 1.01883 | − | 1.01883i | 0.0190108 | − | 0.999819i | ||
0.999819 | − | 0.0190108i | ||||||||
0 | 0 | |||||||||
0.106538 | − | 0.0831369i | 0.00436762 | − | 0.00340828i | |||||
8.30508 | − | 11.4310i | 0.340189 | − | 0.468230i | |||||
0 | 0 | |||||||||
−7.15150 | + | 14.0356i | −0.292446 | + | 0.573958i | |||||
−6.95362 | − | 9.57083i | −0.284117 | − | 0.391054i | 0.642975 | − | 0.765887i | ||
−0.927092 | + | 0.374833i | ||||||||
0 | 0 | |||||||||
−18.9484 | + | 6.15671i | −0.772922 | + | 0.251138i | −0.668815 | − | 0.743429i | ||
−0.104107 | + | 0.994566i | ||||||||
−0.110127 | + | 0.0561127i | −0.00448846 | + | 0.00228698i | |||||
0 | 0 | |||||||||
−3.31087 | −0.134717 | |||||||||
−8.58559 | + | 23.0497i | −0.349054 | + | 0.937103i | |||||
0 | 0 | |||||||||
−3.67280 | − | 23.1891i | −0.149074 | − | 0.941218i | −0.942901 | − | 0.333074i | ||
0.793827 | − | 0.608144i | ||||||||
−5.14552 | + | 2.62177i | −0.208678 | + | 0.106327i | |||||
0 | 0 | |||||||||
−16.1268 | + | 8.92703i | −0.652957 | + | 0.361445i | |||||
−2.13089 | − | 2.93292i | −0.0862065 | − | 0.118653i | |||||
0 | 0 | |||||||||
−11.3849 | − | 22.3442i | −0.459833 | − | 0.902473i | −0.998212 | − | 0.0597703i | ||
0.538379 | − | 0.842703i | ||||||||
14.0329 | − | 19.3146i | 0.566322 | − | 0.779475i | |||||
0 | 0 | |||||||||
0.0373807 | − | 0.0346172i | 0.00150611 | − | 0.00139477i | |||||
−25.6695 | + | 25.6695i | −1.03341 | + | 1.03341i | −0.0339923 | + | 0.999422i | ||
−0.999422 | + | 0.0339923i | ||||||||
0 | 0 | |||||||||
−15.3896 | − | 5.00040i | −0.618562 | − | 0.200983i | −0.0170601 | − | 0.999854i | ||
−0.601502 | + | 0.798872i | ||||||||
10.7717 | + | 7.27471i | 0.432603 | + | 0.292159i | |||||
0 | 0 | |||||||||
28.6415 | + | 4.53636i | 1.14842 | + | 0.181892i | |||||
−0.129785 | − | 0.0661287i | −0.00519972 | − | 0.00264939i | |||||
0 | 0 | |||||||||
10.9071 | + | 22.4952i | 0.436285 | + | 0.899808i | |||||
− | 17.3031i | − | 0.691573i | |||||||
0 | 0 | |||||||||
−9.10015 | − | 9.10015i | −0.363136 | − | 0.363136i | |||||
−3.59081 | − | 2.60888i | −0.143175 | − | 0.104023i | |||||
0 | 0 | |||||||||
−4.71355 | − | 14.5068i | −0.187644 | − | 0.577508i | 0.812340 | − | 0.583184i | ||
−0.999984 | + | 0.00567610i | ||||||||
−0.743430 | + | 4.69383i | −0.0295720 | + | 0.186711i | |||||
0 | 0 | |||||||||
−6.41152 | − | 19.7326i | −0.254634 | − | 0.783683i | |||||
35.5033 | + | 16.5805i | 1.40891 | + | 0.657978i | |||||
0 | 0 | |||||||||
−11.5862 | − | 11.5862i | −0.459063 | − | 0.459063i | |||||
−4.74694 | + | 12.9031i | −0.187933 | + | 0.510840i | |||||
0 | 0 | |||||||||
−1.63447 | − | 1.52594i | −0.0646082 | − | 0.0603182i | |||||
−3.02959 | + | 9.32412i | −0.119662 | + | 0.368280i | −0.992891 | − | 0.119029i | ||
0.873229 | + | 0.487310i | ||||||||
0 | 0 | |||||||||
4.86380 | + | 0.770351i | 0.191810 | + | 0.0303797i | 0.251600 | − | 0.967831i | ||
−0.0597904 | + | 0.998211i | ||||||||
0.0836301 | − | 0.0607608i | 0.00329549 | − | 0.00239431i | |||||
0 | 0 | |||||||||
−21.6080 | − | 7.02088i | −0.850157 | − | 0.276233i | |||||
8.21829 | − | 1.30165i | 0.323094 | − | 0.0511731i | 0.00721944 | − | 0.999974i | ||
0.315875 | + | 0.948801i | ||||||||
0 | 0 | |||||||||
3.17611 | − | 5.68342i | 0.124673 | − | 0.223094i | |||||
−2.84468 | + | 11.3533i | −0.111578 | + | 0.445313i | |||||
0 | 0 | |||||||||
0.763736 | + | 1.49892i | 0.0299102 | + | 0.0587021i | |||||
−10.2557 | + | 20.1279i | −0.401335 | + | 0.787665i | −0.999910 | − | 0.0134022i | ||
0.598575 | + | 0.801067i | ||||||||
0 | 0 | |||||||||
2.25588 | − | 7.84999i | 0.0881444 | − | 0.306725i | |||||
4.46390 | − | 1.45041i | 0.174286 | − | 0.0566290i | |||||
0 | 0 | |||||||||
0.00372160 | + | 0.0234972i | 0.000145083 | + | 0.000916018i | |||||
25.7362 | 1.00254 | 0.501270 | − | 0.865291i | ||||||
0.501270 | + | 0.865291i | ||||||||
0 | 0 | |||||||||
−14.3297 | −0.557360 | −0.278680 | − | 0.960384i | ||||||
−0.278680 | + | 0.960384i | ||||||||
−4.33692 | − | 27.3822i | −0.168559 | − | 1.06424i | |||||
0 | 0 | |||||||||
−12.6707 | + | 4.11695i | −0.491717 | + | 0.159769i | |||||
−0.0960679 | − | 0.173548i | −0.00372535 | − | 0.00672991i | |||||
0 | 0 | |||||||||
−12.6644 | + | 24.8553i | −0.490369 | + | 0.962403i | |||||
7.38860 | + | 14.5009i | 0.285874 | + | 0.561058i | |||||
0 | 0 | |||||||||
7.15223 | + | 9.16539i | 0.276315 | + | 0.354090i | |||||
−26.8197 | − | 5.30953i | −1.03536 | − | 0.204972i | |||||
0 | 0 | |||||||||
−36.8427 | + | 5.83531i | −1.42018 | + | 0.224935i | −0.818824 | − | 0.574045i | ||
−0.601358 | + | 0.798980i | ||||||||
−6.68524 | − | 2.17217i | −0.257506 | − | 0.0836688i | |||||
0 | 0 | |||||||||
6.08415 | − | 4.42039i | 0.234006 | − | 0.170015i | |||||
10.9011 | + | 1.72656i | 0.418963 | + | 0.0663572i | 0.362357 | − | 0.932039i | ||
0.0566060 | + | 0.998397i | ||||||||
0 | 0 | |||||||||
−0.0211283 | + | 0.0650261i | −0.000810828 | + | 0.00249547i | |||||
−0.301921 | − | 8.79204i | −0.0115781 | − | 0.337160i | |||||
0 | 0 | |||||||||
5.24999 | + | 18.5507i | 0.201033 | + | 0.710345i | |||||
4.64732 | + | 4.64732i | 0.177825 | + | 0.177825i | 0.790407 | − | 0.612582i | ||
−0.612582 | + | 0.790407i | ||||||||
0 | 0 | |||||||||
15.9291 | − | 34.1084i | 0.608619 | − | 1.30321i | |||||
0.0664556 | + | 0.204529i | 0.00253729 | + | 0.00780896i | |||||
0 | 0 | |||||||||
−1.25869 | + | 7.94705i | −0.0479871 | + | 0.302978i | |||||
10.1525 | + | 31.2463i | 0.386780 | + | 1.19039i | |||||
0 | 0 | |||||||||
−1.72951 | − | 1.25656i | −0.0657935 | − | 0.0478018i | 0.554402 | − | 0.832249i | ||
−0.620196 | + | 0.784447i | ||||||||
10.6979 | + | 10.6979i | 0.406674 | + | 0.406674i | |||||
0 | 0 | |||||||||
− | 21.7088i | − | 0.824055i | |||||||
−1.69985 | − | 49.5002i | −0.0644789 | − | 1.87765i | |||||
0 | 0 | |||||||||
16.4532 | + | 8.38331i | 0.623209 | + | 0.317541i | |||||
11.7363 | + | 1.85885i | 0.444226 | + | 0.0703585i | |||||
0 | 0 | |||||||||
0.0504568 | − | 0.0579082i | 0.00190709 | − | 0.00218872i | |||||
−16.0121 | − | 5.20265i | −0.604769 | − | 0.196501i | −0.00940286 | − | 0.999956i | ||
−0.595366 | + | 0.803454i | ||||||||
0 | 0 | |||||||||
−4.60688 | + | 4.60688i | −0.173752 | + | 0.173752i | |||||
−0.392810 | − | 3.29328i | −0.0148046 | − | 0.124120i | |||||
0 | 0 | |||||||||
−0.637174 | + | 0.876995i | −0.0239804 | + | 0.0330061i | |||||
0.121099 | + | 0.237671i | 0.00455441 | + | 0.00893854i | |||||
0 | 0 | |||||||||
10.9910 | + | 15.1277i | 0.412774 | + | 0.568134i | 0.963892 | − | 0.266293i | ||
−0.551118 | + | 0.834427i | ||||||||
6.96130 | + | 12.5757i | 0.261253 | + | 0.471958i | |||||
0 | 0 | |||||||||
−8.44881 | + | 4.30488i | −0.316632 | + | 0.161332i | |||||
6.11934 | + | 38.6360i | 0.229171 | + | 1.44693i | |||||
0 | 0 | |||||||||
−14.0858 | + | 10.1473i | −0.526779 | + | 0.379487i | |||||
−23.6364 | −0.883333 | |||||||||
0 | 0 | |||||||||
−7.39342 | + | 3.76714i | −0.275920 | + | 0.140588i | |||||
−16.7305 | + | 5.43605i | −0.623941 | + | 0.202731i | −0.603889 | − | 0.797068i | ||
−0.0200516 | + | 0.999799i | ||||||||
0 | 0 | |||||||||
−0.00308396 | − | 0.00424470i | −0.000114853 | − | 0.000158081i | |||||
−6.51478 | + | 12.7860i | −0.242455 | + | 0.475845i | |||||
0 | 0 | |||||||||
11.2395 | − | 15.4698i | 0.417712 | − | 0.574931i | |||||
−5.03759 | + | 20.1053i | −0.187091 | + | 0.746692i | |||||
0 | 0 | |||||||||
−3.51865 | + | 3.51865i | −0.130500 | + | 0.130500i | −0.769340 | − | 0.638840i | ||
0.638840 | + | 0.769340i | ||||||||
0.0355158 | − | 0.00562515i | 0.00131630 | − | 0.000208482i | |||||
0 | 0 | |||||||||
−5.76881 | + | 8.54192i | −0.213513 | + | 0.316151i | |||||
−25.6097 | + | 18.6065i | −0.947209 | + | 0.688187i | |||||
0 | 0 | |||||||||
−8.32881 | − | 4.24374i | −0.307631 | − | 0.156746i | 0.293359 | − | 0.956002i | ||
−0.600990 | + | 0.799256i | ||||||||
4.65539 | − | 14.3278i | 0.171833 | − | 0.528849i | |||||
0 | 0 | |||||||||
− | 6.72940i | − | 0.248049i | |||||||
−0.661386 | + | 17.2311i | −0.0243625 | + | 0.634717i | |||||
0 | 0 | |||||||||
−22.0128 | − | 15.9932i | −0.809754 | − | 0.588321i | 0.104005 | − | 0.994577i | ||
−0.913759 | + | 0.406256i | ||||||||
−2.28569 | − | 1.06745i | −0.0840236 | − | 0.0392402i | |||||
0 | 0 | |||||||||
0.0337271 | − | 0.212945i | 0.00123816 | − | 0.00781744i | |||||
3.73190 | − | 23.5623i | 0.136910 | − | 0.864417i | −0.819646 | − | 0.572870i | ||
0.956557 | − | 0.291547i | ||||||||
0 | 0 | |||||||||
29.6953 | − | 10.7887i | 1.08795 | − | 0.395267i | |||||
6.10663 | + | 4.43673i | 0.223580 | + | 0.162440i | |||||
0 | 0 | |||||||||
8.06890 | − | 10.2544i | 0.295028 | − | 0.374939i | |||||
0.0352284i | 0.00128722i | |||||||||
0 | 0 | |||||||||
5.95219 | − | 18.3190i | 0.217199 | − | 0.668469i | −0.781792 | − | 0.623540i | ||
0.998990 | − | 0.0449289i | ||||||||
1.37991 | + | 0.703097i | 0.0503200 | + | 0.0256393i | |||||
0 | 0 | |||||||||
−7.85043 | + | 5.70367i | −0.285896 | + | 0.207715i | |||||
−6.13524 | − | 4.14345i | −0.223284 | − | 0.150796i | |||||
0 | 0 | |||||||||
−10.6845 | + | 1.69226i | −0.388336 | + | 0.0615063i | −0.347550 | − | 0.937662i | ||
−0.0407860 | + | 0.999168i | ||||||||
7.05009 | − | 7.05009i | 0.256071 | − | 0.256071i | |||||
0 | 0 | |||||||||
−12.8160 | − | 1.58115i | −0.464886 | − | 0.0573544i | |||||
−13.9786 | + | 19.2399i | −0.506723 | + | 0.697444i | −0.983362 | − | 0.181655i | ||
0.476640 | + | 0.879099i | ||||||||
0 | 0 | |||||||||
0.0169356 | − | 0.0332380i | 0.000613111 | − | 0.00120330i | |||||
−7.04298 | − | 9.69383i | −0.254806 | − | 0.350710i | |||||
0 | 0 | |||||||||
22.6593 | − | 7.36246i | 0.818714 | − | 0.266016i | |||||
4.09434 | − | 2.08617i | 0.147838 | − | 0.0753273i | |||||
0 | 0 | |||||||||
5.84739 | 0.210862 | 0.105431 | − | 0.994427i | ||||||
0.105431 | + | 0.994427i | ||||||||
0.112591 | − | 0.0173670i | 0.00405750 | − | 0.000625862i | |||||
0 | 0 | |||||||||
2.50920 | + | 15.8424i | 0.0903080 | + | 0.570182i | |||||
8.04258 | − | 4.09790i | 0.289272 | − | 0.147391i | −0.303333 | − | 0.952885i | ||
0.592605 | + | 0.805493i | ||||||||
0 | 0 | |||||||||
10.8566 | + | 26.9609i | 0.389979 | + | 0.968465i | |||||
2.61620 | + | 3.60090i | 0.0939163 | + | 0.129265i | |||||
0 | 0 | |||||||||
−2.37697 | − | 4.66507i | −0.0852185 | − | 0.167251i | |||||
15.9322 | − | 21.9288i | 0.570829 | − | 0.785679i | |||||
0 | 0 | |||||||||
−4.14037 | + | 20.9140i | −0.148154 | + | 0.748361i | |||||
18.7207 | − | 18.7207i | 0.669451 | − | 0.669451i | |||||
0 | 0 | |||||||||
6.65717 | + | 2.16305i | 0.237756 | + | 0.0772516i | |||||
−5.47457 | − | 28.2517i | −0.195396 | − | 1.00835i | |||||
0 | 0 | |||||||||
−46.5577 | − | 7.37402i | −1.65960 | − | 0.262855i | −0.744957 | − | 0.667112i | ||
−0.914646 | + | 0.404257i | ||||||||
7.43833 | + | 3.79002i | 0.264979 | + | 0.135014i | |||||
0 | 0 | |||||||||
−7.25180 | + | 7.76757i | −0.258007 | + | 0.276358i | |||||
− | 0.167293i | − | 0.00594827i | |||||||
0 | 0 | |||||||||
−13.6447 | − | 13.6447i | −0.484537 | − | 0.484537i | |||||
−1.92927 | − | 1.40169i | −0.0684671 | − | 0.0497443i | |||||
0 | 0 | |||||||||
−2.61628 | − | 8.05208i | −0.0927316 | − | 0.285398i | |||||
−0.195418 | + | 1.23382i | −0.00692208 | + | 0.0437043i | −0.990908 | − | 0.134544i | ||
0.983986 | + | 0.178248i | ||||||||
0 | 0 | |||||||||
1.88283 | + | 5.79476i | 0.0666098 | + | 0.205004i | |||||
−1.11910 | − | 4.87315i | −0.0395663 | − | 0.172292i | |||||
0 | 0 | |||||||||
−11.1070 | − | 11.1070i | −0.392202 | − | 0.392202i | |||||
−14.7107 | + | 4.16322i | −0.519128 | + | 0.146917i | |||||
0 | 0 | |||||||||
0.231012 | − | 0.00793300i | 0.00814209 | − | 0.000279601i | |||||
−4.20486 | + | 12.9412i | −0.148110 | + | 0.455835i | |||||
0 | 0 | |||||||||
17.1509 | + | 2.71643i | 0.603366 | + | 0.0955638i | |||||
16.9646 | − | 12.3255i | 0.596442 | − | 0.433341i | −0.248172 | − | 0.968716i | ||
0.844614 | + | 0.535375i | ||||||||
0 | 0 | |||||||||
2.18611 | + | 0.710312i | 0.0767649 | + | 0.0249424i | 0.347148 | − | 0.937810i | ||
−0.270383 | + | 0.962753i | ||||||||
0.0628942 | − | 0.00996146i | 0.00220715 | − | 0.000349579i | |||||
0 | 0 | |||||||||
−1.56958 | − | 3.39659i | −0.0550138 | − | 0.119050i | |||||
−0.460598 | + | 3.73337i | −0.0161340 | + | 0.130774i | |||||
0 | 0 | |||||||||
21.0951 | + | 41.4014i | 0.738023 | + | 1.44845i | |||||
0.784707 | − | 1.54007i | 0.0274366 | − | 0.0538474i | |||||
0 | 0 | |||||||||
10.0870 | + | 2.89874i | 0.352254 | + | 0.101228i | |||||
−28.7277 | + | 9.33418i | −1.00260 | + | 0.325765i | −0.763905 | − | 0.645329i | ||
−0.238697 | + | 0.971094i | ||||||||
0 | 0 | |||||||||
0.511401 | + | 3.22886i | 0.0178263 | + | 0.112551i | 0.994997 | − | 0.0999048i | ||
−0.977171 | + | 0.212456i | ||||||||
−0.341556 | −0.0118987 | |||||||||
0 | 0 | |||||||||
−0.0301549 | −0.00104922 | |||||||||
1.84276 | + | 11.6347i | 0.0640791 | + | 0.404579i | 0.998790 | + | 0.0491714i | ||
−0.934711 | + | 0.355408i | ||||||||
0 | 0 | |||||||||
−19.4970 | + | 6.33497i | −0.677160 | + | 0.220023i | −0.627351 | − | 0.778736i | ||
−0.0498083 | + | 0.998759i | ||||||||
−28.6317 | − | 8.22798i | −0.993821 | − | 0.285597i | |||||
0 | 0 | |||||||||
1.06272 | − | 2.08571i | 0.0368433 | − | 0.0723091i | |||||
12.5023 | + | 24.5372i | 0.433180 | + | 0.850164i | |||||
0 | 0 | |||||||||
−4.45596 | + | 36.1177i | −0.154205 | + | 1.24990i | |||||
−13.0140 | − | 14.0529i | −0.450100 | − | 0.486031i | |||||
0 | 0 | |||||||||
16.5925 | − | 2.62800i | 0.573180 | − | 0.0907828i | |||||
15.2019 | + | 4.93940i | 0.524828 | + | 0.170527i | 0.559435 | − | 0.828874i | ||
−0.0346074 | + | 0.999401i | ||||||||
0 | 0 | |||||||||
9.55933 | − | 6.94526i | 0.329632 | − | 0.239492i | |||||
−11.0975 | − | 1.75768i | −0.382446 | − | 0.0605736i | |||||
0 | 0 | |||||||||
−2.16218 | + | 6.65452i | −0.0744254 | + | 0.229058i | |||||
16.8063 | − | 0.577131i | 0.578153 | − | 0.0198539i | |||||
0 | 0 | |||||||||
0.144234 | + | 0.0880279i | 0.00495594 | + | 0.00302467i | |||||
−9.92438 | − | 9.92438i | −0.340804 | − | 0.340804i | |||||
0 | 0 | |||||||||
10.4435 | − | 16.6700i | 0.358209 | − | 0.571777i | |||||
−2.34603 | − | 7.22033i | −0.0804208 | − | 0.247510i | |||||
0 | 0 | |||||||||
−6.04382 | + | 38.1592i | −0.206936 | + | 1.30655i | 0.637317 | + | 0.770601i | ||
−0.844254 | + | 0.535944i | ||||||||
0.0391306 | + | 0.120432i | 0.00133902 | + | 0.00412108i | |||||
0 | 0 | |||||||||
1.85533 | + | 1.34798i | 0.0634140 | + | 0.0460730i | |||||
−26.7350 | − | 26.7350i | −0.913251 | − | 0.913251i | 0.0832758 | − | 0.996527i | ||
−0.996527 | + | 0.0832758i | ||||||||
0 | 0 | |||||||||
35.7867i | 1.22103i | 0.792005 | + | 0.610514i | ||||||
−0.792005 | + | 0.610514i | ||||||||
−12.2779 | + | 13.1511i | −0.418673 | + | 0.448450i | |||||
0 | 0 | |||||||||
−34.1495 | − | 17.4000i | −1.16314 | − | 0.592647i | |||||
38.2576 | + | 6.05941i | 1.30230 | + | 0.206265i | 0.768776 | − | 0.639518i | ||
0.533528 | + | 0.845782i | ||||||||
0 | 0 | |||||||||
6.43578 | + | 33.2120i | 0.218823 | + | 1.12924i | |||||
−18.6691 | − | 6.06597i | −0.634403 | − | 0.206130i | |||||
0 | 0 | |||||||||
0.0631407 | − | 0.0631407i | 0.00214313 | − | 0.00214313i | |||||
−15.6508 | + | 1.86677i | −0.530917 | + | 0.0633257i | |||||
0 | 0 | |||||||||
−7.15368 | + | 9.84619i | −0.242393 | + | 0.333626i | |||||
−1.10249 | − | 2.16375i | −0.0373349 | − | 0.0732738i | |||||
0 | 0 | |||||||||
−22.8425 | − | 31.4400i | −0.772659 | − | 1.06347i | |||||
0.165970 | − | 0.0441622i | 0.00561080 | − | 0.00149295i | |||||
0 | 0 | |||||||||
−9.96725 | + | 5.07857i | −0.336570 | + | 0.171491i | −0.614105 | − | 0.789225i | ||
0.277534 | + | 0.960716i | ||||||||
−0.164590 | − | 1.03918i | −0.00555466 | − | 0.0350707i | |||||
0 | 0 | |||||||||
3.39354 | − | 6.59423i | 0.114396 | − | 0.222292i | |||||
2.54074 | 0.0855998 | 0.0427999 | − | 0.999084i | ||||||
0.0427999 | + | 0.999084i | ||||||||
0 | 0 | |||||||||
13.9170 | − | 7.09109i | 0.468346 | − | 0.238634i | −0.203858 | − | 0.979001i | ||
0.672203 | + | 0.740366i | ||||||||
8.75872 | − | 2.84588i | 0.294588 | − | 0.0957173i | |||||
0 | 0 | |||||||||
−0.185210 | − | 0.254920i | −0.00622226 | − | 0.00856421i | |||||
1.38930 | − | 2.72665i | 0.0466480 | − | 0.0915519i | −0.866506 | − | 0.499167i | ||
0.913154 | + | 0.407615i | ||||||||
0 | 0 | |||||||||
0.158224 | − | 0.217777i | 0.00530667 | − | 0.00730400i | |||||
−21.0436 | − | 2.59621i | −0.705382 | − | 0.0870252i | |||||
0 | 0 | |||||||||
13.2224 | − | 13.2224i | 0.442718 | − | 0.442718i | |||||
8.83358 | − | 1.39910i | 0.295604 | − | 0.0468191i | |||||
0 | 0 | |||||||||
−43.7996 | − | 29.5802i | −1.46406 | − | 0.988756i | |||||
−0.0124276 | + | 0.00902916i | −0.000415176 | + | 0.000301643i | |||||
0 | 0 | |||||||||
−29.9392 | − | 15.2548i | −0.999084 | − | 0.509059i | |||||
−7.44630 | + | 22.9173i | −0.248348 | + | 0.764336i | |||||
0 | 0 | |||||||||
− | 55.2178i | − | 1.83957i | |||||||
8.66027 | + | 12.9356i | 0.288356 | + | 0.430710i | |||||
0 | 0 | |||||||||
−8.81066 | − | 6.40132i | −0.293038 | − | 0.212905i | |||||
40.1874 | − | 14.6006i | 1.33587 | − | 0.485341i | |||||
0 | 0 | |||||||||
−8.26589 | + | 52.1888i | −0.274464 | + | 1.73290i | 0.336892 | + | 0.941543i | ||
−0.611356 | + | 0.791356i | ||||||||
−1.58488 | + | 10.0065i | −0.0525961 | + | 0.332079i | |||||
0 | 0 | |||||||||
0.0728526 | + | 0.0340232i | 0.00241504 | + | 0.00112786i | |||||
−9.97151 | − | 7.24473i | −0.330371 | − | 0.240029i | 0.410217 | − | 0.911988i | ||
−0.740588 | + | 0.671959i | ||||||||
0 | 0 | |||||||||
−24.5820 | − | 36.7175i | −0.813544 | − | 1.21517i | |||||
− | 29.9314i | − | 0.990044i | |||||||
0 | 0 | |||||||||
−3.35423 | + | 10.3233i | −0.110827 | + | 0.341090i | |||||
−0.0499947 | − | 0.0254736i | −0.00165097 | − | 0.000841212i | |||||
0 | 0 | |||||||||
0.0894366 | − | 0.0649795i | 0.00295024 | − | 0.00214348i | −0.586309 | − | 0.810087i | ||
0.589259 | + | 0.807944i | ||||||||
8.42163 | − | 12.4700i | 0.277653 | − | 0.411123i | |||||
0 | 0 | |||||||||
−27.2750 | + | 4.31993i | −0.898254 | + | 0.142269i | |||||
−10.6401 | + | 10.6401i | −0.350224 | + | 0.350224i | |||||
0 | 0 | |||||||||
−2.89964 | − | 4.83851i | −0.0953396 | − | 0.159089i | |||||
−22.1629 | + | 30.5047i | −0.728319 | + | 1.00245i | |||||
0 | 0 | |||||||||
1.88195 | − | 3.69354i | 0.0617782 | − | 0.121247i | |||||
6.25774 | + | 8.61305i | 0.205310 | + | 0.282585i | 0.899238 | − | 0.437459i | ||
−0.693928 | + | 0.720044i | ||||||||
0 | 0 | |||||||||
38.4448 | − | 12.4915i | 1.25998 | − | 0.409392i | |||||
−4.23391 | + | 2.15729i | −0.138686 | + | 0.0706643i | |||||
0 | 0 | |||||||||
29.8354 | 0.976243 | |||||||||
27.7852 | − | 8.90411i | 0.908675 | − | 0.291195i | |||||
0 | 0 | |||||||||
4.09535 | + | 25.8570i | 0.133789 | + | 0.844712i | 0.959724 | + | 0.280946i | ||
−0.825934 | + | 0.563766i | ||||||||
0.0711617 | − | 0.0362587i | 0.00232351 | − | 0.00118389i | |||||
0 | 0 | |||||||||
1.67714 | + | 3.02979i | 0.0547024 | + | 0.0988208i | |||||
19.4803 | + | 26.8123i | 0.635038 | + | 0.874055i | 0.998339 | − | 0.0576167i | ||
−0.363300 | + | 0.931672i | ||||||||
0 | 0 | |||||||||
14.3394 | + | 28.1427i | 0.466956 | + | 0.916452i | |||||
−1.15385 | + | 1.58813i | −0.0375545 | + | 0.0516894i | |||||
0 | 0 | |||||||||
−26.4981 | + | 3.16059i | −0.861528 | + | 0.102760i | |||||
−31.2894 | + | 31.2894i | −1.01677 | + | 1.01677i | −0.0169134 | + | 0.999857i | ||
−0.999857 | + | 0.0169134i | ||||||||
0 | 0 | |||||||||
−10.2623 | − | 3.33443i | −0.333129 | − | 0.108240i | |||||
−21.7701 | − | 18.9688i | −0.706314 | − | 0.615429i | |||||
0 | 0 | |||||||||
−0.0596910 | − | 0.00945413i | −0.00193460 | − | 0.000306410i | |||||
17.3932 | + | 8.86229i | 0.563421 | + | 0.287078i | 0.712412 | − | 0.701761i | ||
−0.148991 | + | 0.988839i | ||||||||
0 | 0 | |||||||||
−0.919538 | − | 26.7773i | −0.0297556 | − | 0.866493i | |||||
− | 13.4998i | − | 0.436614i | |||||||
0 | 0 | |||||||||
−4.61190 | − | 4.61190i | −0.149004 | − | 0.149004i | |||||
−0.209220 | − | 0.152007i | −0.00675608 | − | 0.00490858i | |||||
0 | 0 | |||||||||
0.862234 | + | 2.65368i | 0.0278140 | + | 0.0856027i | |||||
0.413124 | − | 2.60836i | 0.0133196 | − | 0.0840969i | |||||
0 | 0 | |||||||||
6.65750 | + | 20.4897i | 0.214424 | + | 0.659929i | |||||
−15.1766 | + | 32.4972i | −0.488553 | + | 1.04612i | |||||
0 | 0 | |||||||||
−25.7251 | − | 25.7251i | −0.827262 | − | 0.827262i | 0.159875 | − | 0.987137i | ||
−0.987137 | + | 0.159875i | ||||||||
10.1550 | − | 4.22792i | 0.326395 | − | 0.135890i | |||||
0 | 0 | |||||||||
0.341574 | + | 9.94677i | 0.0109673 | + | 0.319372i | |||||
12.5009 | − | 38.4738i | 0.401173 | − | 1.23468i | −0.522876 | − | 0.852409i | ||
0.924049 | − | 0.382274i | ||||||||
0 | 0 | |||||||||
−0.336067 | − | 0.0532278i | −0.0107738 | − | 0.00170640i | |||||
6.93105 | − | 5.03570i | 0.222085 | − | 0.161354i | |||||
0 | 0 | |||||||||
7.83992 | + | 2.54735i | 0.250950 | + | 0.0815385i | |||||
−37.1310 | + | 5.88097i | −1.18792 | + | 0.188149i | −0.718949 | − | 0.695063i | ||
−0.468975 | + | 0.883211i | ||||||||
0 | 0 | |||||||||
−21.3687 | − | 23.0746i | −0.682947 | − | 0.737467i | |||||
9.62915 | + | 12.3395i | 0.307592 | + | 0.394171i | |||||
0 | 0 | |||||||||
−11.7536 | − | 23.0676i | −0.375071 | − | 0.736118i | |||||
−6.95538 | + | 13.6507i | −0.221842 | + | 0.435390i | −0.974924 | − | 0.222537i | ||
0.753082 | + | 0.657927i | ||||||||
0 | 0 | |||||||||
9.04058 | + | 16.3320i | 0.288057 | + | 0.520379i | |||||
15.5106 | − | 5.03971i | 0.493959 | − | 0.160497i | |||||
0 | 0 | |||||||||
−2.11473 | − | 13.3519i | −0.0672784 | − | 0.424779i | |||||
−54.1455 | −1.72173 | |||||||||
0 | 0 | |||||||||
−42.6744 | −1.35560 | −0.677798 | − | 0.735248i | ||||||
−0.677798 | + | 0.735248i | ||||||||
−0.909344 | − | 5.74137i | −0.0288717 | − | 0.182289i | |||||
0 | 0 | |||||||||
0.0939125 | − | 0.0305140i | 0.00297872 | − | 0.000967846i | |||||
5.22880 | − | 18.1952i | 0.165764 | − | 0.576826i | |||||
0 | 0 | |||||||||
7.94283 | − | 15.5887i | 0.251552 | − | 0.493698i | −0.730354 | − | 0.683069i | ||
0.981906 | + | 0.189371i | ||||||||
−7.59331 | − | 14.9027i | −0.240362 | − | 0.471737i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 990.2.bh.c.73.1 | 48 | ||
3.2 | odd | 2 | 110.2.k.a.73.5 | yes | 48 | ||
5.2 | odd | 4 | inner | 990.2.bh.c.667.5 | 48 | ||
11.8 | odd | 10 | inner | 990.2.bh.c.613.5 | 48 | ||
12.11 | even | 2 | 880.2.cm.c.513.4 | 48 | |||
15.2 | even | 4 | 110.2.k.a.7.2 | ✓ | 48 | ||
15.8 | even | 4 | 550.2.bh.b.7.5 | 48 | |||
15.14 | odd | 2 | 550.2.bh.b.293.2 | 48 | |||
33.8 | even | 10 | 110.2.k.a.63.2 | yes | 48 | ||
55.52 | even | 20 | inner | 990.2.bh.c.217.1 | 48 | ||
60.47 | odd | 4 | 880.2.cm.c.337.3 | 48 | |||
132.107 | odd | 10 | 880.2.cm.c.833.3 | 48 | |||
165.8 | odd | 20 | 550.2.bh.b.107.2 | 48 | |||
165.74 | even | 10 | 550.2.bh.b.393.5 | 48 | |||
165.107 | odd | 20 | 110.2.k.a.107.5 | yes | 48 | ||
660.107 | even | 20 | 880.2.cm.c.657.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
110.2.k.a.7.2 | ✓ | 48 | 15.2 | even | 4 | ||
110.2.k.a.63.2 | yes | 48 | 33.8 | even | 10 | ||
110.2.k.a.73.5 | yes | 48 | 3.2 | odd | 2 | ||
110.2.k.a.107.5 | yes | 48 | 165.107 | odd | 20 | ||
550.2.bh.b.7.5 | 48 | 15.8 | even | 4 | |||
550.2.bh.b.107.2 | 48 | 165.8 | odd | 20 | |||
550.2.bh.b.293.2 | 48 | 15.14 | odd | 2 | |||
550.2.bh.b.393.5 | 48 | 165.74 | even | 10 | |||
880.2.cm.c.337.3 | 48 | 60.47 | odd | 4 | |||
880.2.cm.c.513.4 | 48 | 12.11 | even | 2 | |||
880.2.cm.c.657.4 | 48 | 660.107 | even | 20 | |||
880.2.cm.c.833.3 | 48 | 132.107 | odd | 10 | |||
990.2.bh.c.73.1 | 48 | 1.1 | even | 1 | trivial | ||
990.2.bh.c.217.1 | 48 | 55.52 | even | 20 | inner | ||
990.2.bh.c.613.5 | 48 | 11.8 | odd | 10 | inner | ||
990.2.bh.c.667.5 | 48 | 5.2 | odd | 4 | inner |