Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [425,2,Mod(26,425)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(425, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("425.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 425.m (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | no (minimal twist has level 85) |
Sato-Tate group: |
Embedding invariants
Embedding label | 376.2 | ||
Character | 425.376 | ||
Dual form | 425.2.m.e.26.2 |
-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 .
−0.672981 | − | 0.672981i | −0.475869 | − | 0.475869i | 0.427938 | − | 0.903808i | ||
−0.903808 | + | 0.427938i | ||||||||
2.28645 | − | 0.947078i | 1.32008 | − | 0.546796i | 0.392272 | − | 0.919849i | ||
0.927810 | + | 0.373054i | ||||||||
− | 1.09419i | − | 0.547097i | |||||||
0 | 0 | |||||||||
−2.17610 | − | 0.901371i | −0.888390 | − | 0.367983i | |||||
0.204115 | − | 0.492777i | 0.0771481 | − | 0.186252i | −0.880600 | − | 0.473860i | ||
0.957748 | + | 0.287608i | ||||||||
−2.08233 | + | 2.08233i | −0.736216 | + | 0.736216i | |||||
2.20957 | − | 2.20957i | 0.736523 | − | 0.736523i | |||||
0 | 0 | |||||||||
4.31906 | + | 1.78902i | 1.30225 | + | 0.539408i | 0.922612 | − | 0.385728i | ||
0.379634 | + | 0.925137i | ||||||||
−1.03629 | − | 2.50182i | −0.299150 | − | 0.722212i | |||||
− | 3.92573i | − | 1.08880i | −0.838825 | − | 0.544401i | ||||
0.838825 | − | 0.544401i | ||||||||
−0.468995 | + | 0.194264i | −0.125344 | + | 0.0519192i | |||||
0 | 0 | |||||||||
0.614355 | 0.153589 | |||||||||
0.867192 | − | 4.03088i | 0.210325 | − | 0.977632i | |||||
−2.97399 | −0.700977 | |||||||||
−0.708548 | − | 0.708548i | −0.162552 | − | 0.162552i | 0.621144 | − | 0.783696i | ||
−0.783696 | + | 0.621144i | ||||||||
0 | 0 | |||||||||
− | 1.32002i | − | 0.288052i | |||||||
−1.70268 | − | 4.11062i | −0.363012 | − | 0.876387i | |||||
−5.30129 | − | 2.19587i | −1.10540 | − | 0.457870i | −0.246046 | − | 0.969258i | ||
−0.859350 | + | 0.511388i | ||||||||
−2.78902 | + | 6.73328i | −0.569305 | + | 1.37442i | |||||
0 | 0 | |||||||||
−2.64194 | + | 2.64194i | −0.518128 | + | 0.518128i | |||||
0.118196 | − | 0.285350i | 0.0227468 | − | 0.0549156i | |||||
−0.539193 | − | 0.223341i | −0.101898 | − | 0.0422075i | |||||
3.17120 | + | 7.65596i | 0.588878 | + | 1.42168i | 0.884576 | + | 0.466395i | ||
−0.295699 | + | 0.955281i | ||||||||
0 | 0 | |||||||||
−2.29036 | + | 0.948699i | −0.411361 | + | 0.170391i | −0.578760 | − | 0.815498i | ||
0.167399 | + | 0.985889i | ||||||||
3.75122 | + | 3.75122i | 0.663128 | + | 0.663128i | |||||
11.5697 | 2.01402 | |||||||||
−3.29631 | + | 2.12910i | −0.565312 | + | 0.365138i | |||||
0 | 0 | |||||||||
−2.41769 | − | 2.41769i | −0.402949 | − | 0.402949i | |||||
−3.78211 | + | 1.56660i | −0.621775 | + | 0.257548i | −0.671254 | − | 0.741227i | ||
0.0494786 | + | 0.998775i | ||||||||
0.953679i | 0.154707i | |||||||||
−3.71797 | − | 8.97598i | −0.595352 | − | 1.43731i | |||||
0 | 0 | |||||||||
−0.311708 | + | 0.752530i | −0.0486806 | + | 0.117525i | −0.946349 | − | 0.323146i | ||
0.897669 | + | 0.440671i | ||||||||
−0.888349 | + | 0.888349i | −0.137075 | + | 0.137075i | |||||
−4.55216 | + | 4.55216i | −0.694197 | + | 0.694197i | −0.963153 | − | 0.268955i | ||
0.268955 | + | 0.963153i | ||||||||
1.95753 | − | 4.72589i | 0.295108 | − | 0.712455i | |||||
0 | 0 | |||||||||
2.08989 | + | 5.04545i | 0.308138 | + | 0.743911i | |||||
− | 1.70505i | − | 0.248707i | −0.992238 | − | 0.124354i | ||||
0.992238 | − | 0.124354i | ||||||||
1.40469 | − | 0.581842i | 0.202750 | − | 0.0839817i | |||||
4.74858 | + | 4.74858i | 0.678369 | + | 0.678369i | |||||
0 | 0 | |||||||||
−1.83477 | − | 10.0377i | −0.256919 | − | 1.40556i | |||||
−4.29551 | −0.595680 | |||||||||
5.77230 | + | 5.77230i | 0.792887 | + | 0.792887i | 0.981962 | − | 0.189076i | ||
−0.189076 | + | 0.981962i | ||||||||
−0.271578 | + | 0.112491i | −0.0369571 | + | 0.0153081i | |||||
0 | 0 | |||||||||
0.601090 | + | 1.45116i | 0.0803240 | + | 0.193919i | |||||
−2.29111 | − | 0.949008i | −0.303465 | − | 0.125699i | |||||
3.01816 | − | 7.28648i | 0.396304 | − | 0.956761i | |||||
4.28304 | − | 4.28304i | 0.557605 | − | 0.557605i | −0.371020 | − | 0.928625i | ||
0.928625 | + | 0.371020i | ||||||||
0 | 0 | |||||||||
−0.432837 | + | 1.04496i | −0.0554192 | + | 0.133794i | −0.949164 | − | 0.314782i | ||
0.893745 | + | 0.448576i | ||||||||
2.17983 | + | 0.902914i | 0.276838 | + | 0.114670i | |||||
−0.637818 | − | 1.53983i | −0.0803575 | − | 0.194000i | |||||
− | 6.27771i | − | 0.784713i | |||||||
0 | 0 | |||||||||
−7.78616 | − | 7.78616i | −0.958410 | − | 0.958410i | |||||
7.68603 | 0.938998 | 0.469499 | − | 0.882933i | ||||||
0.469499 | + | 0.882933i | ||||||||
−4.41056 | − | 0.948875i | −0.534859 | − | 0.115068i | |||||
−14.2008 | −1.70957 | |||||||||
0 | 0 | |||||||||
6.41424 | − | 2.65686i | 0.761230 | − | 0.315312i | 0.0319156 | − | 0.999491i | ||
0.729314 | + | 0.684179i | ||||||||
9.20211i | 1.08448i | |||||||||
−4.62521 | − | 11.1662i | −0.541340 | − | 1.30691i | −0.923778 | − | 0.382929i | ||
0.382438 | − | 0.923981i | ||||||||
3.59958 | + | 1.49100i | 0.418443 | + | 0.173325i | |||||
0 | 0 | |||||||||
−0.775289 | + | 0.775289i | −0.0889317 | + | 0.0889317i | |||||
1.76317 | − | 1.76317i | 0.200932 | − | 0.200932i | |||||
−3.53854 | + | 8.54279i | −0.400661 | + | 0.967281i | |||||
1.36830 | + | 0.566769i | 0.153946 | + | 0.0637666i | 0.458326 | − | 0.888784i | ||
−0.304380 | + | 0.952551i | ||||||||
0 | 0 | |||||||||
8.61002i | 0.956669i | |||||||||
0.716212 | − | 0.296665i | 0.0790924 | − | 0.0327611i | |||||
11.4464 | + | 11.4464i | 1.25640 | + | 1.25640i | 0.952798 | + | 0.303606i | ||
0.303606 | + | 0.952798i | ||||||||
−1.44436 | −0.157592 | |||||||||
0 | 0 | |||||||||
6.12703 | 0.660694 | |||||||||
14.5016 | + | 14.5016i | 1.55473 | + | 1.55473i | |||||
−12.7191 | + | 5.26841i | −1.35586 | + | 0.561614i | |||||
− | 12.0717i | − | 1.27960i | −0.768542 | − | 0.639800i | ||||
0.768542 | − | 0.639800i | ||||||||
0 | 0 | |||||||||
−1.93451 | − | 0.801300i | −0.202792 | − | 0.0839991i | |||||
−2.40270 | + | 5.80064i | −0.250499 | + | 0.604758i | |||||
−4.33830 | + | 4.33830i | −0.449861 | + | 0.449861i | |||||
−1.14747 | + | 1.14747i | −0.118352 | + | 0.118352i | |||||
0 | 0 | |||||||||
12.1297 | + | 5.02427i | 1.23798 | + | 0.512787i | |||||
−0.0872680 | − | 0.210684i | −0.00886072 | − | 0.0213917i | 0.919387 | − | 0.393354i | ||
−0.928248 | + | 0.371962i | ||||||||
− | 6.39141i | − | 0.645630i | |||||||
13.4962 | − | 5.59031i | 1.35642 | − | 0.561848i | |||||
0 | 0 | |||||||||
−6.66539 | −0.663231 | −0.331616 | − | 0.943415i | ||||||
−0.331616 | + | 0.943415i | ||||||||
−5.52041 | + | 7.98994i | −0.546602 | + | 0.791122i | |||||
−0.350456 | −0.0345315 | −0.0172657 | − | 0.999851i | ||||||
−0.0172657 | + | 0.999851i | ||||||||
8.17468 | + | 8.17468i | 0.801594 | + | 0.801594i | |||||
0 | 0 | |||||||||
− | 7.76930i | − | 0.754621i | |||||||
2.98446 | + | 7.20512i | 0.288518 | + | 0.696545i | 0.999981 | − | 0.00617913i | ||
−0.711463 | + | 0.702724i | ||||||||
−0.312228 | − | 0.129329i | −0.0300441 | − | 0.0124447i | |||||
−4.66038 | + | 11.2511i | −0.446383 | + | 1.07766i | 0.527284 | + | 0.849689i | ||
−0.973667 | + | 0.227975i | ||||||||
0 | 0 | |||||||||
−7.16391 | + | 7.16391i | −0.679968 | + | 0.679968i | |||||
0.125399 | − | 0.302740i | 0.0118491 | − | 0.0286062i | |||||
16.5171 | + | 6.84161i | 1.55380 | + | 0.643604i | 0.983998 | − | 0.178179i | ||
0.569800 | + | 0.821783i | ||||||||
0.903208 | + | 2.18054i | 0.0845932 | + | 0.204226i | |||||
0 | 0 | |||||||||
8.37710 | − | 3.46991i | 0.777794 | − | 0.322173i | |||||
−8.67417 | − | 8.67417i | −0.801927 | − | 0.801927i | |||||
−5.76481 | −0.530694 | |||||||||
−1.80932 | − | 1.25009i | −0.165860 | − | 0.114596i | |||||
0 | 0 | |||||||||
7.67557 | + | 7.67557i | 0.697779 | + | 0.697779i | |||||
0.994531 | − | 0.411948i | 0.0900406 | − | 0.0372960i | |||||
2.01583i | 0.181762i | |||||||||
1.03806 | + | 2.50610i | 0.0932205 | + | 0.225054i | |||||
0 | 0 | |||||||||
−0.607036 | + | 1.46551i | −0.0540791 | + | 0.130558i | |||||
−8.76596 | + | 8.76596i | −0.777853 | + | 0.777853i | −0.979465 | − | 0.201612i | ||
0.201612 | + | 0.979465i | ||||||||
3.27766 | − | 3.27766i | 0.289707 | − | 0.289707i | |||||
−6.09702 | + | 14.7195i | −0.536813 | + | 1.29598i | |||||
0 | 0 | |||||||||
−3.83884 | − | 9.26779i | −0.335401 | − | 0.809730i | −0.998145 | − | 0.0608839i | ||
0.662744 | − | 0.748846i | ||||||||
− | 12.6594i | − | 1.10186i | |||||||
−0.493781 | + | 0.204531i | −0.0428163 | + | 0.0177351i | |||||
−5.17255 | − | 5.17255i | −0.446841 | − | 0.446841i | |||||
0 | 0 | |||||||||
6.58785 | + | 10.1994i | 0.564903 | + | 0.874593i | |||||
−3.06808 | −0.262124 | −0.131062 | − | 0.991374i | ||||||
−0.131062 | + | 0.991374i | ||||||||
9.55686 | + | 9.55686i | 0.813534 | + | 0.813534i | |||||
−11.3389 | + | 4.69672i | −0.961753 | + | 0.398371i | −0.807636 | − | 0.589682i | ||
−0.154117 | + | 0.988053i | ||||||||
0 | 0 | |||||||||
−1.61482 | − | 3.89851i | −0.135992 | − | 0.328314i | |||||
−6.10468 | − | 2.52864i | −0.512293 | − | 0.212199i | |||||
7.02320 | − | 16.9555i | 0.587309 | − | 1.41789i | |||||
1.35746 | − | 1.35746i | 0.113122 | − | 0.113122i | |||||
0 | 0 | |||||||||
−4.40199 | + | 10.6274i | −0.364312 | + | 0.879526i | |||||
15.3547 | + | 6.36011i | 1.26643 | + | 0.524573i | |||||
1.71417 | + | 4.13836i | 0.140904 | + | 0.340171i | |||||
5.46544i | 0.447747i | 0.974618 | + | 0.223873i | ||||||
−0.974618 | + | 0.223873i | ||||||||
0 | 0 | |||||||||
3.54105 | + | 3.54105i | 0.288167 | + | 0.288167i | 0.836355 | − | 0.548188i | ||
−0.548188 | + | 0.836355i | ||||||||
2.95087 | 0.239347 | |||||||||
−6.99038 | − | 10.8226i | −0.565139 | − | 0.874957i | |||||
−2.37316 | −0.191235 | |||||||||
0 | 0 | |||||||||
−9.82146 | + | 4.06818i | −0.786346 | + | 0.325715i | |||||
− | 10.9442i | − | 0.873443i | −0.899597 | − | 0.436721i | ||||
0.899597 | − | 0.436721i | ||||||||
−0.539417 | − | 1.30227i | −0.0429137 | − | 0.103603i | |||||
18.6649 | + | 7.73125i | 1.48022 | + | 0.613128i | |||||
0 | 0 | |||||||||
−2.16414 | + | 2.16414i | −0.170558 | + | 0.170558i | |||||
5.79438 | − | 5.79438i | 0.455250 | − | 0.455250i | |||||
2.82785 | − | 6.82704i | 0.221495 | − | 0.534735i | −0.773599 | − | 0.633676i | ||
0.995093 | + | 0.0989404i | ||||||||
0.823413 | + | 0.341069i | 0.0642978 | + | 0.0266330i | |||||
0 | 0 | |||||||||
− | 15.4064i | − | 1.19577i | |||||||
−18.0137 | + | 7.46152i | −1.39394 | + | 0.577390i | −0.948172 | − | 0.317758i | ||
−0.445770 | + | 0.895147i | ||||||||
2.74872 | + | 2.74872i | 0.212069 | + | 0.212069i | |||||
−2.41138 | −0.185491 | |||||||||
0 | 0 | |||||||||
−3.13117 | −0.239447 | |||||||||
4.98094 | + | 4.98094i | 0.379793 | + | 0.379793i | |||||
−12.2873 | + | 5.08958i | −0.934189 | + | 0.386954i | −0.797266 | − | 0.603628i | ||
−0.136923 | + | 0.990582i | ||||||||
− | 19.5186i | − | 1.47970i | |||||||
0 | 0 | |||||||||
2.65344 | + | 1.09909i | 0.200011 | + | 0.0828471i | |||||
5.73658 | − | 13.8493i | 0.431188 | − | 1.04098i | |||||
−8.12404 | + | 8.12404i | −0.608922 | + | 0.608922i | |||||
−7.18598 | + | 7.18598i | −0.537105 | + | 0.537105i | −0.922678 | − | 0.385572i | ||
0.385572 | + | 0.922678i | ||||||||
0 | 0 | |||||||||
−18.1259 | − | 7.50798i | −1.34728 | − | 0.558064i | −0.411750 | − | 0.911297i | ||
−0.935535 | + | 0.353233i | ||||||||
0.762628 | + | 1.84115i | 0.0565298 | + | 0.136475i | |||||
2.79918i | 0.206921i | |||||||||
15.6116 | − | 6.46653i | 1.15090 | − | 0.476719i | |||||
0 | 0 | |||||||||
5.83919 | 0.428150 | |||||||||
10.9568 | − | 15.8582i | 0.801238 | − | 1.15967i | |||||
−1.86566 | −0.136067 | |||||||||
−0.116488 | − | 0.116488i | −0.00847327 | − | 0.00847327i | |||||
0 | 0 | |||||||||
− | 8.81287i | − | 0.637677i | −0.947809 | − | 0.318838i | ||||
0.947809 | − | 0.318838i | ||||||||
−5.94548 | − | 14.3536i | −0.429078 | − | 1.03589i | |||||
−14.2854 | − | 5.91720i | −1.02829 | − | 0.425930i | −0.196192 | − | 0.980566i | ||
−0.832093 | + | 0.554636i | ||||||||
−0.0830564 | + | 0.200516i | −0.00596310 | + | 0.0143962i | |||||
0 | 0 | |||||||||
5.19587 | − | 5.19587i | 0.371133 | − | 0.371133i | |||||
−0.0880736 | + | 0.212628i | −0.00627498 | + | 0.0151491i | −0.926986 | − | 0.375096i | ||
0.920711 | + | 0.390245i | ||||||||
−12.8449 | − | 5.32052i | −0.912845 | − | 0.378113i | |||||
−8.21298 | − | 19.8279i | −0.582203 | − | 1.40556i | −0.890812 | − | 0.454372i | ||
0.308609 | − | 0.951189i | ||||||||
0 | 0 | |||||||||
17.5737 | − | 7.27927i | 1.23955 | − | 0.513440i | |||||
4.48568 | + | 4.48568i | 0.315611 | + | 0.315611i | |||||
4.41997 | 0.310221 | |||||||||
−10.9832 | + | 2.00759i | −0.768976 | + | 0.140559i | |||||
0 | 0 | |||||||||
0.235850 | + | 0.235850i | 0.0164325 | + | 0.0164325i | |||||
−16.5655 | + | 6.86165i | −1.15138 | + | 0.476918i | |||||
− | 2.41179i | − | 0.167228i | |||||||
−1.79266 | − | 4.32787i | −0.124001 | − | 0.299365i | |||||
0 | 0 | |||||||||
−5.94870 | + | 14.3614i | −0.409525 | + | 0.988682i | 0.575738 | + | 0.817635i | ||
−0.985263 | + | 0.171047i | ||||||||
6.31601 | − | 6.31601i | 0.433786 | − | 0.433786i | |||||
12.1496 | − | 12.1496i | 0.832474 | − | 0.832474i | |||||
2.84042 | − | 6.85739i | 0.194167 | − | 0.468761i | |||||
0 | 0 | |||||||||
0.348070 | + | 0.840316i | 0.0236832 | + | 0.0571763i | |||||
1.32228i | 0.0897622i | |||||||||
10.7081 | − | 4.43546i | 0.725247 | − | 0.300407i | |||||
−21.1506 | − | 21.1506i | −1.42923 | − | 1.42923i | |||||
0 | 0 | |||||||||
−15.8242 | − | 3.40436i | −1.06445 | − | 0.229002i | |||||
9.64235 | 0.647152 | |||||||||
−0.756286 | − | 0.756286i | −0.0506447 | − | 0.0506447i | 0.681331 | − | 0.731976i | ||
−0.731976 | + | 0.681331i | ||||||||
2.61419 | − | 1.08283i | 0.174668 | − | 0.0723498i | |||||
0 | 0 | |||||||||
−6.51143 | − | 15.7200i | −0.433134 | − | 1.04568i | |||||
1.91049 | + | 0.791349i | 0.126803 | + | 0.0525237i | 0.445183 | − | 0.895440i | ||
−0.318380 | + | 0.947963i | ||||||||
−1.03840 | + | 2.50692i | −0.0687696 | + | 0.166025i | |||||
9.06042 | − | 9.06042i | 0.598730 | − | 0.598730i | −0.341245 | − | 0.939974i | ||
0.939974 | + | 0.341245i | ||||||||
0 | 0 | |||||||||
2.36154 | − | 5.70125i | 0.155378 | − | 0.375115i | |||||
−22.5458 | − | 9.33876i | −1.48020 | − | 0.613120i | |||||
2.48129 | + | 5.99035i | 0.162554 | + | 0.392441i | 0.984079 | − | 0.177732i | ||
−0.821524 | + | 0.570173i | ||||||||
11.6751i | 0.763226i | |||||||||
0 | 0 | |||||||||
−4.68648 | − | 4.68648i | −0.305064 | − | 0.305064i | |||||
3.66533 | 0.238089 | |||||||||
0.376346 | + | 2.05892i | 0.0243949 | + | 0.133460i | |||||
−1.26828 | −0.0820381 | −0.0410190 | − | 0.999158i | ||||||
−0.0410190 | + | 0.999158i | ||||||||
0 | 0 | |||||||||
−2.30585 | + | 0.955116i | −0.148533 | + | 0.0615244i | −0.455712 | − | 0.890127i | ||
0.307178 | + | 0.951652i | ||||||||
− | 10.3310i | − | 0.664103i | |||||||
8.50895 | + | 20.5424i | 0.545849 | + | 1.31780i | |||||
1.14339 | + | 0.473608i | 0.0731981 | + | 0.0303196i | |||||
0 | 0 | |||||||||
1.35662 | − | 1.35662i | 0.0864947 | − | 0.0864947i | |||||
−2.78157 | + | 2.78157i | −0.176987 | + | 0.176987i | |||||
2.79379 | − | 6.74480i | 0.177406 | − | 0.428296i | |||||
37.0122 | + | 15.3309i | 2.34555 | + | 0.971559i | |||||
0 | 0 | |||||||||
17.3565i | 1.09553i | 0.836632 | + | 0.547765i | ||||||
−0.836632 | + | 0.547765i | ||||||||
−1.68487 | + | 0.697896i | −0.106137 | + | 0.0439633i | |||||
−18.9682 | − | 18.9682i | −1.19252 | − | 1.19252i | |||||
11.7987 | 0.740313 | |||||||||
0 | 0 | |||||||||
−16.9670 | −1.06044 | |||||||||
−10.9991 | − | 10.9991i | −0.686105 | − | 0.686105i | 0.275264 | − | 0.961369i | ||
−0.961369 | + | 0.275264i | ||||||||
14.0091 | − | 5.80277i | 0.872170 | − | 0.361265i | |||||
2.18350i | 0.135676i | |||||||||
0 | 0 | |||||||||
23.9234 | + | 9.90938i | 1.48082 | + | 0.613375i | |||||
−3.65358 | + | 8.82051i | −0.225719 | + | 0.544933i | |||||
−6.39290 | + | 6.39290i | −0.394203 | + | 0.394203i | −0.876183 | − | 0.481979i | ||
0.481979 | + | 0.876183i | ||||||||
−24.0919 | + | 24.0919i | −1.48275 | + | 1.48275i | |||||
0 | 0 | |||||||||
0.469951 | + | 0.194660i | 0.0288145 | + | 0.0119354i | |||||
−11.4329 | − | 27.6014i | −0.699680 | − | 1.68918i | |||||
− | 8.41000i | − | 0.513723i | |||||||
2.79002 | − | 1.15566i | 0.170110 | − | 0.0704620i | −0.296003 | − | 0.955187i | ||
0.466113 | + | 0.884725i | ||||||||
0 | 0 | |||||||||
13.1638 | 0.799642 | 0.399821 | − | 0.916593i | ||||||
0.399821 | + | 0.916593i | ||||||||
0.532764 | − | 2.47639i | 0.0323035 | − | 0.150153i | |||||
−5.18205 | −0.313632 | |||||||||
2.06476 | + | 2.06476i | 0.124737 | + | 0.124737i | |||||
0 | 0 | |||||||||
15.5384i | 0.935302i | |||||||||
−1.55039 | − | 3.74298i | −0.0931540 | − | 0.224894i | 0.870434 | − | 0.492285i | ||
−0.963588 | + | 0.267392i | ||||||||
10.7917 | + | 4.47006i | 0.647241 | + | 0.268096i | |||||
−2.96450 | + | 7.15692i | −0.177480 | + | 0.428474i | |||||
0 | 0 | |||||||||
10.0869 | − | 10.0869i | 0.601731 | − | 0.601731i | −0.339041 | − | 0.940772i | ||
0.940772 | + | 0.339041i | ||||||||
−1.53688 | + | 3.71037i | −0.0915201 | + | 0.220949i | |||||
−5.14980 | − | 2.13312i | −0.306124 | − | 0.126801i | 0.224333 | − | 0.974513i | ||
−0.530457 | + | 0.847712i | ||||||||
−2.90712 | − | 7.01841i | −0.172506 | − | 0.416466i | |||||
0 | 0 | |||||||||
−16.1372 | + | 6.68425i | −0.954213 | + | 0.395248i | |||||
0.307205 | + | 0.307205i | 0.0181337 | + | 0.0181337i | |||||
16.5771 | 0.976817 | |||||||||
−15.4960 | − | 6.99109i | −0.911527 | − | 0.411241i | |||||
0 | 0 | |||||||||
−0.399068 | − | 0.399068i | −0.0233938 | − | 0.0233938i | |||||
−12.2180 | + | 5.06088i | −0.715006 | + | 0.296165i | |||||
1.97120i | 0.115159i | 0.998341 | + | 0.0575795i | ||||||
−0.998341 | + | 0.0575795i | ||||||||
−6.05316 | − | 14.6136i | −0.353028 | − | 0.852284i | |||||
0 | 0 | |||||||||
4.61343 | − | 11.1378i | 0.268150 | − | 0.647372i | |||||
1.02099 | − | 1.02099i | 0.0592438 | − | 0.0592438i | |||||
3.67814 | − | 3.67814i | 0.213069 | − | 0.213069i | |||||
−8.62039 | + | 20.8115i | −0.498530 | + | 1.20356i | |||||
0 | 0 | |||||||||
1.31403 | + | 3.17236i | 0.0757396 | + | 0.182852i | |||||
− | 4.76612i | − | 0.274260i | |||||||
−15.2401 | + | 6.31264i | −0.875519 | + | 0.362652i | |||||
−0.435300 | − | 0.435300i | −0.0249662 | − | 0.0249662i | |||||
0 | 0 | |||||||||
−2.57902 | + | 11.9878i | −0.147433 | + | 0.685297i | |||||
−1.69613 | −0.0968034 | −0.0484017 | − | 0.998828i | ||||||
−0.0484017 | + | 0.998828i | ||||||||
−1.92925 | − | 1.92925i | −0.109929 | − | 0.109929i | |||||
−0.801300 | + | 0.331909i | −0.0455844 | + | 0.0188817i | |||||
0 | 0 | |||||||||
4.16844 | + | 10.0635i | 0.236371 | + | 0.570649i | 0.996902 | − | 0.0786518i | ||
−0.760531 | + | 0.649301i | ||||||||
26.4331 | + | 10.9489i | 1.49648 | + | 0.619861i | |||||
−10.0614 | + | 24.2903i | −0.568702 | + | 1.37297i | 0.333947 | + | 0.942592i | ||
−0.902649 | + | 0.430377i | ||||||||
−7.36524 | + | 7.36524i | −0.415645 | + | 0.415645i | |||||
0 | 0 | |||||||||
0.620155 | − | 1.49719i | 0.0348865 | − | 0.0842234i | |||||
23.1074 | + | 9.57139i | 1.29784 | + | 0.537583i | 0.921313 | − | 0.388823i | ||
0.376527 | + | 0.926406i | ||||||||
−7.35813 | − | 17.7641i | −0.412623 | − | 0.996161i | |||||
38.7399i | 2.16902i | |||||||||
0 | 0 | |||||||||
13.6476 | + | 13.6476i | 0.761735 | + | 0.761735i | |||||
2.91286 | 0.162327 | |||||||||
−3.47052 | + | 2.24162i | −0.193105 | + | 0.124727i | |||||
9.42103 | 0.523390 | |||||||||
0 | 0 | |||||||||
−6.49756 | + | 2.69138i | −0.359867 | + | 0.149062i | |||||
30.1389i | 1.66668i | |||||||||
−0.917938 | − | 2.21610i | −0.0506847 | − | 0.122364i | |||||
−0.840209 | − | 0.348026i | −0.0463222 | − | 0.0191873i | |||||
0 | 0 | |||||||||
22.8306 | − | 22.8306i | 1.25488 | − | 1.25488i | 0.301376 | − | 0.953505i | ||
0.953505 | − | 0.301376i | ||||||||
12.5245 | − | 12.5245i | 0.687374 | − | 0.687374i | |||||
−4.89532 | + | 11.8183i | −0.268262 | + | 0.647641i | |||||
17.1443 | + | 7.10142i | 0.938097 | + | 0.388572i | |||||
0 | 0 | |||||||||
− | 0.810961i | − | 0.0442416i | |||||||
11.8844 | − | 4.92267i | 0.647383 | − | 0.268155i | −0.0347353 | − | 0.999397i | ||
0.682119 | + | 0.731242i | ||||||||
1.62281 | + | 1.62281i | 0.0882693 | + | 0.0882693i | |||||
44.2450 | 2.40306 | |||||||||
0 | 0 | |||||||||
−11.5895 | −0.627604 | |||||||||
2.10722 | + | 2.10722i | 0.113945 | + | 0.113945i | |||||
6.75868 | − | 2.79954i | 0.364934 | − | 0.151161i | |||||
− | 18.9582i | − | 1.02216i | |||||||
0 | 0 | |||||||||
11.6943 | + | 4.84395i | 0.628691 | + | 0.260412i | |||||
−10.3086 | + | 24.8871i | −0.553394 | + | 1.33601i | 0.361521 | + | 0.932364i | ||
−0.914915 | + | 0.403647i | ||||||||
15.8675 | − | 15.8675i | 0.850589 | − | 0.850589i | |||||
10.1253 | − | 10.1253i | 0.541995 | − | 0.541995i | −0.382119 | − | 0.924113i | ||
0.924113 | + | 0.382119i | ||||||||
0 | 0 | |||||||||
−1.12021 | − | 0.464005i | −0.0597922 | − | 0.0247667i | |||||
9.49076 | + | 22.9127i | 0.505859 | + | 1.22125i | |||||
− | 1.65351i | − | 0.0880076i | −0.999031 | − | 0.0440038i | ||||
0.999031 | − | 0.0440038i | ||||||||
−13.1809 | + | 5.45973i | −0.700559 | + | 0.290181i | |||||
0 | 0 | |||||||||
−13.2088 | −0.700065 | |||||||||
−5.32084 | − | 1.14471i | −0.281609 | − | 0.0605845i | |||||
9.67206 | 0.511184 | |||||||||
−12.2781 | − | 12.2781i | −0.648012 | − | 0.648012i | 0.304500 | − | 0.952512i | ||
−0.952512 | + | 0.304500i | ||||||||
0 | 0 | |||||||||
− | 17.9959i | − | 0.947154i | |||||||
7.14564 | + | 17.2511i | 0.375566 | + | 0.906697i | |||||
24.8191 | + | 10.2804i | 1.30267 | + | 0.539582i | |||||
−0.876777 | + | 2.11673i | −0.0459556 | + | 0.110947i | |||||
0 | 0 | |||||||||
1.88380 | − | 1.88380i | 0.0984676 | − | 0.0984676i | |||||
3.66265 | − | 8.84242i | 0.191189 | − | 0.461571i | −0.798996 | − | 0.601337i | ||
0.990185 | + | 0.139766i | ||||||||
−3.25688 | − | 1.34904i | −0.169776 | − | 0.0703237i | |||||
0.974026 | + | 2.35151i | 0.0507058 | + | 0.122415i | |||||
0 | 0 | |||||||||
4.02267 | − | 1.66624i | 0.208846 | − | 0.0865070i | |||||
4.74694 | + | 4.74694i | 0.246117 | + | 0.246117i | |||||
−14.4236 | −0.746828 | −0.373414 | − | 0.927665i | ||||||
−0.373414 | + | 0.927665i | ||||||||
−18.0460 | + | 3.29858i | −0.933134 | + | 0.170565i | |||||
0 | 0 | |||||||||
3.55049 | + | 3.55049i | 0.183102 | + | 0.183102i | |||||
30.0553 | − | 12.4493i | 1.54793 | − | 0.641172i | |||||
0.156789i | 0.00806434i | |||||||||
−3.64196 | − | 8.79246i | −0.187075 | − | 0.451638i | 0.802319 | − | 0.596895i | ||
−0.989394 | + | 0.145257i | ||||||||
0 | 0 | |||||||||
−11.7409 | + | 28.3450i | −0.601503 | + | 1.45216i | |||||
−5.93089 | + | 5.93089i | −0.303451 | + | 0.303451i | |||||
−19.6401 | + | 19.6401i | −1.00356 | + | 1.00356i | −0.00356842 | + | 0.999994i | ||
−0.999994 | + | 0.00356842i | ||||||||
4.39000 | − | 10.5984i | 0.224026 | − | 0.540847i | |||||
0 | 0 | |||||||||
5.63163 | + | 13.5960i | 0.286643 | + | 0.692016i | |||||
20.1166i | 1.02258i | |||||||||
−0.230529 | + | 0.0954881i | −0.0117033 | + | 0.00484767i | |||||
−14.8835 | − | 14.8835i | −0.754624 | − | 0.754624i | 0.220715 | − | 0.975338i | ||
−0.975338 | + | 0.220715i | ||||||||
0 | 0 | |||||||||
−13.4485 | + | 19.4646i | −0.680121 | + | 0.984369i | |||||
−19.7763 | −0.998852 | |||||||||
−17.5546 | − | 17.5546i | −0.885514 | − | 0.885514i | |||||
0.202367 | − | 0.0838230i | 0.0101951 | − | 0.00422294i | |||||
0 | 0 | |||||||||
−6.11688 | − | 14.7675i | −0.307385 | − | 0.742093i | |||||
−27.3935 | − | 11.3468i | −1.37484 | − | 0.569478i | −0.431744 | − | 0.901996i | ||
−0.943097 | + | 0.332518i | ||||||||
−7.81661 | + | 18.8710i | −0.391811 | + | 0.945916i | |||||
−0.935298 | + | 0.935298i | −0.0468235 | + | 0.0468235i | |||||
0 | 0 | |||||||||
6.33937 | − | 15.3046i | 0.316573 | − | 0.764275i | −0.682858 | − | 0.730551i | ||
0.999431 | − | 0.0337238i | ||||||||
−16.7256 | − | 6.92796i | −0.834196 | − | 0.345535i | |||||
3.72434 | + | 8.99135i | 0.185523 | + | 0.447891i | |||||
7.29322i | 0.362851i | |||||||||
0 | 0 | |||||||||
−2.97455 | − | 2.97455i | −0.147625 | − | 0.147625i | |||||
−19.1379 | −0.948629 | |||||||||
24.7224 | + | 17.0812i | 1.22394 | + | 0.845647i | |||||
−19.3593 | −0.957257 | −0.478629 | − | 0.878017i | ||||||
−0.478629 | + | 0.878017i | ||||||||
0 | 0 | |||||||||
−7.01500 | + | 2.90571i | −0.346024 | + | 0.143328i | |||||
0.383467i | 0.0188921i | |||||||||
−1.23635 | − | 2.98482i | −0.0608369 | − | 0.146873i | |||||
15.7660 | + | 6.53050i | 0.774857 | + | 0.320956i | |||||
0 | 0 | |||||||||
14.7263 | − | 14.7263i | 0.722015 | − | 0.722015i | |||||
−21.4776 | + | 21.4776i | −1.05176 | + | 1.05176i | |||||
−1.70615 | + | 4.11900i | −0.0834503 | + | 0.201467i | |||||
13.3054 | + | 5.51126i | 0.650009 | + | 0.269243i | 0.683228 | − | 0.730205i | ||
−0.0332183 | + | 0.999448i | ||||||||
0 | 0 | |||||||||
− | 26.7439i | − | 1.30342i | −0.758468 | − | 0.651710i | ||||
0.758468 | − | 0.651710i | ||||||||
13.6683 | − | 5.66161i | 0.665364 | − | 0.275603i | |||||
−3.76743 | − | 3.76743i | −0.183179 | − | 0.183179i | |||||
−24.0397 | −1.16747 | |||||||||
0 | 0 | |||||||||
−16.3529 | −0.792298 | |||||||||
0.426584 | + | 0.426584i | 0.0206439 | + | 0.0206439i | |||||
7.88379 | − | 3.26557i | 0.381077 | − | 0.157847i | |||||
− | 45.4194i | − | 2.19287i | |||||||
0 | 0 | |||||||||
−26.4399 | − | 10.9518i | −1.27356 | − | 0.527527i | −0.359518 | − | 0.933138i | ||
−0.914046 | + | 0.405611i | ||||||||
0.0726141 | − | 0.175306i | 0.00349365 | − | 0.00843442i | |||||
25.5919 | − | 25.5919i | 1.22987 | − | 1.22987i | 0.265855 | − | 0.964013i | ||
0.964013 | − | 0.265855i | ||||||||
0.889869 | − | 0.889869i | 0.0427151 | − | 0.0427151i | |||||
0 | 0 | |||||||||
12.3109 | + | 5.09935i | 0.589586 | + | 0.244215i | |||||
2.20034 | + | 5.31210i | 0.105257 | + | 0.254112i | |||||
28.4679i | 1.36025i | |||||||||
29.9716 | − | 12.4146i | 1.43047 | − | 0.592519i | 0.473000 | − | 0.881063i | ||
0.957467 | + | 0.288544i | ||||||||
0 | 0 | |||||||||
20.9846 | 0.999268 | |||||||||
8.35828 | + | 12.9404i | 0.397563 | + | 0.615513i | |||||
1.88468 | 0.0895437 | 0.0447719 | − | 0.998997i | ||||||
0.0447719 | + | 0.998997i | ||||||||
7.83870 | + | 7.83870i | 0.372008 | + | 0.372008i | |||||
0 | 0 | |||||||||
1.01793i | 0.0482005i | |||||||||
5.17620 | + | 12.4965i | 0.244826 | + | 0.591062i | |||||
−3.09351 | − | 1.28137i | −0.146154 | − | 0.0605391i | |||||
0.766010 | − | 1.84931i | 0.0361503 | − | 0.0872745i | −0.904773 | − | 0.425894i | ||
0.940924 | + | 0.338619i | ||||||||
0 | 0 | |||||||||
−2.69258 | + | 2.69258i | −0.126788 | + | 0.126788i | |||||
7.48604 | − | 18.0729i | 0.352114 | − | 0.850078i | |||||
11.4501 | + | 4.74278i | 0.537972 | + | 0.222835i | |||||
−0.753158 | − | 1.81828i | −0.0353474 | − | 0.0853363i | |||||
0 | 0 | |||||||||
6.74700 | − | 2.79470i | 0.315957 | − | 0.130874i | |||||
−12.4863 | − | 12.4863i | −0.584086 | − | 0.584086i | 0.351938 | − | 0.936023i | ||
−0.936023 | + | 0.351938i | ||||||||
−12.1950 | −0.569834 | |||||||||
−1.04771 | − | 0.723885i | −0.0489030 | − | 0.0337881i | |||||
0 | 0 | |||||||||
−22.5151 | − | 22.5151i | −1.04863 | − | 1.04863i | −0.998755 | − | 0.0498792i | ||
−0.0498792 | − | 0.998755i | ||||||||
−5.42610 | + | 2.24757i | −0.252445 | + | 0.104566i | |||||
− | 15.7977i | − | 0.734179i | −0.930186 | − | 0.367090i | ||||
0.930186 | − | 0.367090i | ||||||||
1.94825 | + | 4.70348i | 0.0904450 | + | 0.218354i | |||||
0 | 0 | |||||||||
2.36154 | − | 5.70125i | 0.109396 | − | 0.264105i | |||||
−6.26872 | + | 6.26872i | −0.290082 | + | 0.290082i | −0.837112 | − | 0.547031i | ||
0.547031 | + | 0.837112i | ||||||||
−9.49122 | + | 9.49122i | −0.438732 | + | 0.438732i | |||||
1.56883 | − | 3.78750i | 0.0724419 | − | 0.174890i | |||||
0 | 0 | |||||||||
−10.3650 | − | 25.0234i | −0.477595 | − | 1.15302i | |||||
17.8374i | 0.821035i | |||||||||
−27.8049 | + | 11.5172i | −1.27847 | + | 0.529560i | |||||
−2.46670 | − | 2.46670i | −0.113299 | − | 0.113299i | |||||
0 | 0 | |||||||||
−1.36784 | + | 1.97974i | −0.0626950 | + | 0.0907413i | |||||
25.5086 | 1.16796 | |||||||||
0.853527 | + | 0.853527i | 0.0390394 | + | 0.0390394i | |||||
−11.0031 | + | 4.55765i | −0.502746 | + | 0.208244i | −0.619619 | − | 0.784903i | ||
0.116873 | + | 0.993147i | ||||||||
0 | 0 | |||||||||
6.15006 | + | 14.8476i | 0.280419 | + | 0.676991i | |||||
2.19457 | + | 0.909021i | 0.0999600 | + | 0.0414048i | |||||
−2.89859 | + | 6.99782i | −0.131890 | + | 0.318412i | |||||
8.39855 | − | 8.39855i | 0.381752 | − | 0.381752i | |||||
0 | 0 | |||||||||
8.09830 | − | 19.5510i | 0.367346 | − | 0.886852i | |||||
24.7378 | + | 10.2467i | 1.12098 | + | 0.464324i | 0.864704 | − | 0.502281i | ||
0.256272 | + | 0.966605i | ||||||||
−1.27465 | − | 3.07727i | −0.0577006 | − | 0.139302i | |||||
− | 18.2879i | − | 0.827006i | |||||||
0 | 0 | |||||||||
16.3477 | + | 16.3477i | 0.737761 | + | 0.737761i | 0.972144 | − | 0.234383i | ||
−0.234383 | + | 0.972144i | ||||||||
2.20571 | 0.0994411 | |||||||||
33.6103 | − | 6.14355i | 1.51373 | − | 0.276691i | |||||
3.74389 | 0.168446 | |||||||||
0 | 0 | |||||||||
−1.40710 | + | 0.582838i | −0.0631805 | + | 0.0261702i | |||||
− | 3.70309i | − | 0.166106i | |||||||
−14.5911 | − | 35.2259i | −0.653841 | − | 1.57851i | |||||
−4.58831 | − | 1.90054i | −0.205401 | − | 0.0850799i | 0.277611 | − | 0.960694i | ||
−0.483012 | + | 0.875614i | ||||||||
0 | 0 | |||||||||
−34.1208 | + | 34.1208i | −1.52440 | + | 1.52440i | |||||
11.6806 | − | 11.6806i | 0.521330 | − | 0.521330i | |||||
8.94738 | − | 21.6009i | 0.398944 | − | 0.963136i | −0.588973 | − | 0.808153i | ||
0.987917 | − | 0.154983i | ||||||||
4.53458 | + | 1.87829i | 0.201986 | + | 0.0836655i | |||||
0 | 0 | |||||||||
25.5305i | 1.13497i | |||||||||
−5.51349 | + | 2.28376i | −0.244863 | + | 0.101425i | |||||
9.59165 | + | 9.59165i | 0.425561 | + | 0.425561i | |||||
−23.9562 | −1.06184 | −0.530921 | − | 0.847422i | ||||||
−0.530921 | + | 0.847422i | ||||||||
0 | 0 | |||||||||
−6.44654 | −0.285178 | |||||||||
4.86316 | + | 4.86316i | 0.214924 | + | 0.214924i | |||||
−0.285931 | + | 0.118437i | −0.0126242 | + | 0.00522911i | |||||
14.8044i | 0.652993i | |||||||||
0 | 0 | |||||||||
16.1060 | + | 6.67132i | 0.709027 | + | 0.293688i | |||||
3.05036 | − | 7.36423i | 0.134155 | − | 0.323878i | |||||
1.46946 | − | 1.46946i | 0.0645642 | − | 0.0645642i | |||||
−23.2741 | + | 23.2741i | −1.02162 | + | 1.02162i | |||||
0 | 0 | |||||||||
7.00747 | + | 2.90259i | 0.307003 | + | 0.127165i | 0.530866 | − | 0.847456i | ||
−0.223863 | + | 0.974621i | ||||||||
−9.43114 | − | 22.7688i | −0.412790 | − | 0.996563i | |||||
17.3848i | 0.760185i | 0.924948 | + | 0.380093i | ||||||
−0.924948 | + | 0.380093i | ||||||||
−10.1407 | + | 4.20044i | −0.443001 | + | 0.183497i | |||||
0 | 0 | |||||||||
8.60461 | 0.375179 | |||||||||
1.83791 | + | 10.0549i | 0.0800605 | + | 0.437997i | |||||
7.10788 | 0.309331 | |||||||||
7.01842 | + | 7.01842i | 0.305149 | + | 0.305149i | |||||
0 | 0 | |||||||||
− | 18.9273i | − | 0.821377i | |||||||
0.223796 | + | 0.540292i | 0.00970280 | + | 0.0234246i | |||||
2.95423 | + | 1.22368i | 0.127962 | + | 0.0530036i | |||||
−10.8811 | + | 26.2693i | −0.470871 | + | 1.13678i | |||||
0 | 0 | |||||||||
−16.0049 | + | 16.0049i | −0.691305 | + | 0.691305i | |||||
−9.62469 | + | 23.2361i | −0.415336 | + | 1.00271i | |||||
−2.65537 | − | 1.09989i | −0.114481 | − | 0.0474196i | |||||
12.0141 | + | 29.0047i | 0.517486 | + | 1.24932i | |||||
0 | 0 | |||||||||
−20.5428 | + | 8.50911i | −0.883204 | + | 0.365835i | −0.777739 | − | 0.628588i | ||
−0.105466 | + | 0.994423i | ||||||||
−8.85896 | − | 8.85896i | −0.380525 | − | 0.380525i | |||||
−48.5545 | −2.08367 | |||||||||
18.3737 | − | 11.8677i | 0.787767 | − | 0.508822i | |||||
0 | 0 | |||||||||
3.48742 | + | 3.48742i | 0.149248 | + | 0.149248i | |||||
37.1299 | − | 15.3797i | 1.58756 | − | 0.657589i | 0.597972 | − | 0.801517i | ||
0.989588 | + | 0.143929i | ||||||||
3.35707i | 0.143407i | |||||||||
1.35253 | + | 3.26530i | 0.0577246 | + | 0.139360i | |||||
0 | 0 | |||||||||
3.17767 | − | 7.67157i | 0.135373 | − | 0.326820i | |||||
29.5708 | − | 29.5708i | 1.25862 | − | 1.25862i | |||||
0.558581 | − | 0.558581i | 0.0237533 | − | 0.0237533i | |||||
−1.47557 | + | 3.56234i | −0.0626909 | + | 0.151349i | |||||
0 | 0 | |||||||||
5.13912 | + | 12.4069i | 0.217947 | + | 0.526172i | |||||
− | 6.44000i | − | 0.272872i | −0.990649 | − | 0.136436i | ||||
0.990649 | − | 0.136436i | ||||||||
6.81152 | − | 2.82143i | 0.288355 | − | 0.119440i | |||||
17.8705 | + | 17.8705i | 0.755844 | + | 0.755844i | |||||
0 | 0 | |||||||||
10.0331 | − | 46.6359i | 0.423598 | − | 1.96897i | |||||
−13.5765 | −0.572691 | |||||||||
−14.0594 | − | 14.0594i | −0.592532 | − | 0.592532i | 0.345782 | − | 0.938315i | ||
−0.938315 | + | 0.345782i | ||||||||
−4.26572 | + | 1.76692i | −0.179619 | + | 0.0744008i | |||||
0 | 0 | |||||||||
2.03017 | + | 4.90127i | 0.0853345 | + | 0.206016i | |||||
4.24282 | + | 1.75743i | 0.178182 | + | 0.0738052i | |||||
−7.82410 | + | 18.8891i | −0.328292 | + | 0.792567i | |||||
−4.57941 | + | 4.57941i | −0.191979 | + | 0.191979i | −0.796551 | − | 0.604572i | ||
0.604572 | + | 0.796551i | ||||||||
0 | 0 | |||||||||
−14.0045 | + | 33.8098i | −0.586069 | + | 1.41490i | 0.301164 | + | 0.953572i | ||
−0.887232 | + | 0.461323i | ||||||||
−18.5526 | − | 7.68473i | −0.775723 | − | 0.321315i | |||||
−8.34647 | − | 20.1502i | −0.348679 | − | 0.841785i | |||||
− | 0.413486i | − | 0.0172586i | |||||||
0 | 0 | |||||||||
−13.8710 | − | 13.8710i | −0.577959 | − | 0.577959i | |||||
−19.2887 | −0.802999 | −0.401500 | − | 0.915859i | ||||||
−0.401500 | + | 0.915859i | ||||||||
5.72361 | + | 15.1334i | 0.238071 | + | 0.629465i | |||||
−38.2669 | −1.59032 | |||||||||
0 | 0 | |||||||||
7.97688 | − | 3.30413i | 0.330937 | − | 0.137079i | |||||
0.537130i | 0.0222647i | |||||||||
14.6042 | + | 35.2577i | 0.604845 | + | 1.46022i | |||||
32.8831 | + | 13.6206i | 1.36071 | + | 0.563625i | |||||
0 | 0 | |||||||||
1.32658 | − | 1.32658i | 0.0548006 | − | 0.0548006i | |||||
−12.6487 | + | 12.6487i | −0.522068 | + | 0.522068i | −0.918196 | − | 0.396127i | ||
0.396127 | + | 0.918196i | ||||||||
6.95919 | − | 16.8010i | 0.286992 | − | 0.692860i | |||||
2.29503 | + | 0.950633i | 0.0945651 | + | 0.0391702i | |||||
0 | 0 | |||||||||
0.569576i | 0.0234292i | |||||||||
−2.32356 | + | 0.962450i | −0.0954977 | + | 0.0395565i | |||||
−15.9962 | − | 15.9962i | −0.656884 | − | 0.656884i | 0.297757 | − | 0.954642i | ||
−0.954642 | + | 0.297757i | ||||||||
−1.37421 | −0.0563847 | |||||||||
0 | 0 | |||||||||
5.98025 | 0.244961 | |||||||||
−37.5571 | − | 37.5571i | −1.53711 | − | 1.53711i | |||||
19.8071 | − | 8.20436i | 0.809972 | − | 0.335501i | |||||
− | 17.4019i | − | 0.711023i | −0.934672 | − | 0.355511i | ||||
0.934672 | − | 0.355511i | ||||||||
0 | 0 | |||||||||
19.9088 | + | 8.24649i | 0.812096 | + | 0.336381i | 0.749790 | − | 0.661676i | ||
0.0623060 | + | 0.998057i | ||||||||
1.25062 | − | 3.01926i | 0.0509713 | − | 0.123056i | |||||
16.9828 | − | 16.9828i | 0.691593 | − | 0.691593i | |||||
3.87460 | − | 3.87460i | 0.157655 | − | 0.157655i | |||||
0 | 0 | |||||||||
14.5046 | + | 6.00799i | 0.589208 | + | 0.244058i | |||||
6.14655 | + | 14.8391i | 0.249481 | + | 0.602300i | 0.998160 | − | 0.0606323i | ||
−0.748679 | + | 0.662932i | ||||||||
− | 5.31584i | − | 0.215586i | |||||||
10.1060 | − | 4.18605i | 0.409517 | − | 0.169627i | |||||
0 | 0 | |||||||||
−6.69358 | −0.270793 | |||||||||
−11.8420 | + | 7.64882i | −0.478686 | + | 0.309185i | |||||
15.6440 | 0.631855 | 0.315928 | − | 0.948783i | ||||||
0.315928 | + | 0.948783i | ||||||||
1.14147 | + | 1.14147i | 0.0460658 | + | 0.0460658i | |||||
0 | 0 | |||||||||
7.34301i | 0.295858i | |||||||||
−8.96313 | − | 21.6389i | −0.360842 | − | 0.871150i | −0.995177 | − | 0.0980919i | ||
0.634335 | − | 0.773058i | ||||||||
0.762628 | + | 0.315891i | 0.0306774 | + | 0.0127070i | |||||
−11.0559 | + | 26.6912i | −0.444372 | + | 1.07281i | 0.530026 | + | 0.847981i | ||
−0.974398 | + | 0.224828i | ||||||||
0 | 0 | |||||||||
−1.25318 | + | 1.25318i | −0.0502884 | + | 0.0502884i | |||||
3.96727 | − | 9.57783i | 0.159073 | − | 0.384036i | |||||
−5.94866 | − | 2.46402i | −0.238328 | − | 0.0987187i | |||||
−2.28416 | − | 5.51444i | −0.0914394 | − | 0.220754i | |||||
0 | 0 | |||||||||
23.1180 | − | 9.57580i | 0.923982 | − | 0.382726i | |||||
−8.19766 | − | 8.19766i | −0.327383 | − | 0.327383i | |||||
−11.9751 | −0.477858 | |||||||||
3.03497 | + | 16.6038i | 0.121012 | + | 0.662036i | |||||
0 | 0 | |||||||||
29.7914 | + | 29.7914i | 1.18598 | + | 1.18598i | 0.978169 | + | 0.207809i | ||
0.207809 | + | 0.978169i | ||||||||
−4.02946 | + | 1.66906i | −0.160284 | + | 0.0663916i | |||||
38.4705i | 1.52907i | |||||||||
−9.10946 | − | 21.9922i | −0.361783 | − | 0.873421i | |||||
0 | 0 | |||||||||
8.45948 | − | 20.4230i | 0.335440 | − | 0.809824i | |||||
18.6417 | − | 18.6417i | 0.738610 | − | 0.738610i | |||||
26.0712 | − | 26.0712i | 1.03217 | − | 1.03217i | |||||
8.30217 | − | 20.0432i | 0.328429 | − | 0.792897i | |||||
0 | 0 | |||||||||
7.27533 | + | 17.5642i | 0.287358 | + | 0.693744i | 0.999969 | − | 0.00781522i | ||
−0.712611 | + | 0.701559i | ||||||||
− | 18.3692i | − | 0.724973i | |||||||
18.7908 | − | 7.78340i | 0.741036 | − | 0.306947i | 0.0199581 | − | 0.999801i | ||
0.721078 | + | 0.692853i | ||||||||
2.36799 | + | 2.36799i | 0.0933119 | + | 0.0933119i | |||||
0 | 0 | |||||||||
3.84416 | + | 0.827023i | 0.151247 | + | 0.0325388i | |||||
16.7736 | 0.659440 | 0.329720 | − | 0.944079i | ||||||
0.329720 | + | 0.944079i | ||||||||
−17.9289 | − | 17.9289i | −0.704315 | − | 0.704315i | |||||
26.1612 | − | 10.8363i | 1.02692 | − | 0.425362i | |||||
0 | 0 | |||||||||
1.25230 | + | 3.02332i | 0.0490816 | + | 0.118493i | |||||
−7.47010 | − | 3.09422i | −0.292552 | − | 0.121179i | |||||
2.56320 | − | 6.18810i | 0.100306 | − | 0.242159i | −0.865758 | − | 0.500462i | ||
0.966064 | + | 0.258303i | ||||||||
20.2829 | − | 20.2829i | 0.793124 | − | 0.793124i | |||||
0 | 0 | |||||||||
−0.191500 | + | 0.462321i | −0.00747680 | + | 0.0180506i | |||||
−34.8923 | − | 14.4529i | −1.36128 | − | 0.563860i | |||||
0.331230 | + | 0.799660i | 0.0129127 | + | 0.0311740i | |||||
− | 36.0525i | − | 1.40440i | −0.711978 | − | 0.702202i | ||||
0.711978 | − | 0.702202i | ||||||||
0 | 0 | |||||||||
−31.6304 | − | 31.6304i | −1.23028 | − | 1.23028i | −0.963855 | − | 0.266427i | ||
−0.266427 | − | 0.963855i | ||||||||
−30.7291 | −1.19432 | |||||||||
−39.4053 | + | 7.20280i | −1.53037 | + | 0.279734i | |||||
−47.6704 | −1.84997 | |||||||||
0 | 0 | |||||||||
11.2480 | − | 4.65907i | 0.435850 | − | 0.180535i | |||||
− | 47.5501i | − | 1.84115i | |||||||
8.16434 | + | 19.7105i | 0.315888 | + | 0.762621i | |||||
−2.44547 | − | 1.01295i | −0.0945474 | − | 0.0391628i | |||||
0 | 0 | |||||||||
−3.73891 | + | 3.73891i | −0.144339 | + | 0.144339i | |||||
4.95168 | − | 4.95168i | 0.191015 | − | 0.191015i | |||||
−1.88991 | + | 4.56264i | −0.0728506 | + | 0.175877i | −0.956110 | − | 0.293007i | ||
0.883260 | + | 0.468884i | ||||||||
−11.3108 | − | 4.68510i | −0.435677 | − | 0.180463i | |||||
0 | 0 | |||||||||
2.63851i | 0.101481i | |||||||||
−26.2906 | + | 10.8899i | −1.01043 | + | 0.418534i | −0.825612 | − | 0.564238i | ||
−0.184819 | + | 0.982773i | ||||||||
−29.7761 | − | 29.7761i | −1.14354 | − | 1.14354i | |||||
−0.121633 | −0.00466783 | |||||||||
0 | 0 | |||||||||
5.11770 | 0.196111 | |||||||||
7.79949 | + | 7.79949i | 0.298658 | + | 0.298658i | |||||
30.2745 | − | 12.5401i | 1.15842 | − | 0.479835i | 0.281073 | − | 0.959686i | ||
0.877350 | + | 0.479852i | ||||||||
3.42611i | 0.131000i | |||||||||
0 | 0 | |||||||||
−6.43250 | − | 2.66443i | −0.245594 | − | 0.101728i | |||||
12.1353 | − | 29.2971i | 0.462989 | − | 1.11775i | |||||
−2.79664 | + | 2.79664i | −0.106621 | + | 0.106621i | |||||
22.6605 | − | 22.6605i | 0.863297 | − | 0.863297i | |||||
0 | 0 | |||||||||
6.13856 | + | 2.54268i | 0.233522 | + | 0.0967279i | 0.496376 | − | 0.868108i | ||
−0.262854 | + | 0.964836i | ||||||||
5.56898 | + | 13.4447i | 0.211701 | + | 0.511091i | |||||
− | 7.79168i | − | 0.295982i | |||||||
23.6860 | − | 9.81108i | 0.899110 | − | 0.372423i | |||||
0 | 0 | |||||||||
−60.3943 | −2.28924 | |||||||||
2.76305 | + | 1.90905i | 0.104658 | + | 0.0723103i | |||||
−13.6283 | −0.515837 | |||||||||
11.3467 | + | 11.3467i | 0.429170 | + | 0.429170i | |||||
0 | 0 | |||||||||
− | 24.2220i | − | 0.914852i | −0.889248 | − | 0.457426i | ||||
0.889248 | − | 0.457426i | ||||||||
0.441611 | + | 1.06614i | 0.0166675 | + | 0.0402390i | |||||
3.78982 | + | 1.56980i | 0.142936 | + | 0.0592060i | |||||
11.2309 | − | 27.1138i | 0.423281 | − | 1.02189i | |||||
0 | 0 | |||||||||
−1.11278 | + | 1.11278i | −0.0418801 | + | 0.0418801i | |||||
−1.36050 | + | 3.28455i | −0.0511670 | + | 0.123528i | |||||
−15.1538 | − | 6.27693i | −0.569516 | − | 0.235901i | |||||
−0.466820 | − | 1.12700i | −0.0175318 | − | 0.0423255i | 0.914871 | − | 0.403746i | ||
−0.932403 | + | 0.361420i | ||||||||
0 | 0 | |||||||||
4.27567 | − | 1.77104i | 0.160350 | − | 0.0664192i | |||||
25.1373 | + | 25.1373i | 0.942062 | + | 0.942062i | |||||
14.2251 | 0.532734 | |||||||||
2.81046 | + | 4.35119i | 0.105179 | + | 0.162839i | |||||
0 | 0 | |||||||||
7.86285 | + | 7.86285i | 0.293849 | + | 0.293849i | |||||
−2.89985 | + | 1.20116i | −0.108297 | + | 0.0448581i | |||||
16.5258i | 0.616738i | |||||||||
6.74904 | + | 16.2936i | 0.251697 | + | 0.607650i | 0.998341 | − | 0.0575735i | ||
−0.746645 | + | 0.665223i | ||||||||
0 | 0 | |||||||||
−0.0715333 | + | 0.172697i | −0.00266404 | + | 0.00643156i | |||||
−12.1109 | + | 12.1109i | −0.450721 | + | 0.450721i | |||||
−4.36765 | + | 4.36765i | −0.162435 | + | 0.162435i | |||||
−8.21518 | + | 19.8332i | −0.305315 | + | 0.737095i | |||||
0 | 0 | |||||||||
−9.78428 | − | 23.6213i | −0.363129 | − | 0.876670i | |||||
11.3177i | 0.419751i | 0.977728 | + | 0.209876i | ||||||
−0.977728 | + | 0.209876i | ||||||||
5.69687 | − | 2.35972i | 0.211140 | − | 0.0874570i | |||||
20.6459 | + | 20.6459i | 0.764664 | + | 0.764664i | |||||
0 | 0 | |||||||||
14.4016 | + | 22.2968i | 0.532662 | + | 0.824676i | |||||
3.06285 | 0.113206 | |||||||||
−1.79642 | − | 1.79642i | −0.0663522 | − | 0.0663522i | 0.673152 | − | 0.739504i | ||
−0.739504 | + | 0.673152i | ||||||||
−8.41568 | + | 3.48589i | −0.310628 | + | 0.128666i | |||||
0 | 0 | |||||||||
−11.6491 | − | 28.1235i | −0.429393 | − | 1.03665i | |||||
33.1965 | + | 13.7504i | 1.22281 | + | 0.506503i | |||||
0.927018 | − | 2.23802i | 0.0341240 | − | 0.0823827i | |||||
−12.6407 | + | 12.6407i | −0.464997 | + | 0.464997i | −0.900289 | − | 0.435292i | ||
0.435292 | + | 0.900289i | ||||||||
0 | 0 | |||||||||
−3.72555 | + | 8.99428i | −0.136862 | + | 0.330413i | |||||
−3.82853 | − | 1.58583i | −0.140550 | − | 0.0582176i | |||||
−4.57351 | − | 11.0414i | −0.167786 | − | 0.405071i | 0.817513 | − | 0.575910i | ||
−0.985299 | + | 0.170839i | ||||||||
− | 18.0676i | − | 0.662390i | |||||||
0 | 0 | |||||||||
9.70683 | + | 9.70683i | 0.355392 | + | 0.355392i | |||||
50.5831 | 1.85074 | |||||||||
−17.3519 | − | 11.9888i | −0.634450 | − | 0.438354i | |||||
4.15968 | 0.151992 | |||||||||
0 | 0 | |||||||||
24.7061 | − | 10.2336i | 0.901537 | − | 0.373429i | 0.116726 | − | 0.993164i | ||
0.784811 | + | 0.619735i | ||||||||
− | 1.04751i | − | 0.0381987i | |||||||
16.4379 | + | 39.6847i | 0.599031 | + | 1.44619i | |||||
−28.6048 | − | 11.8485i | −1.04172 | − | 0.431496i | |||||
0 | 0 | |||||||||
−0.127461 | + | 0.127461i | −0.00463569 | + | 0.00463569i | |||||
−0.179229 | + | 0.179229i | −0.00651419 | + | 0.00651419i | −0.710356 | − | 0.703842i | ||
0.703842 | + | 0.710356i | ||||||||
−3.46619 | + | 8.36813i | −0.125898 | + | 0.303944i | |||||
−61.3341 | − | 25.4054i | −2.22629 | − | 0.922159i | |||||
0 | 0 | |||||||||
32.3234i | 1.17172i | 0.810412 | + | 0.585860i | ||||||
−0.810412 | + | 0.585860i | ||||||||
26.9770 | − | 11.1742i | 0.977274 | − | 0.404800i | |||||
4.59305 | + | 4.59305i | 0.166279 | + | 0.166279i | |||||
−9.64298 | −0.348871 | |||||||||
0 | 0 | |||||||||
26.4348 | 0.955129 | |||||||||
−16.8141 | − | 16.8141i | −0.607121 | − | 0.607121i | |||||
−38.7942 | + | 16.0691i | −1.39986 | + | 0.579843i | |||||
− | 7.23844i | − | 0.261025i | −0.991447 | − | 0.130512i | ||||
0.991447 | − | 0.130512i | ||||||||
0 | 0 | |||||||||
−35.5659 | − | 14.7319i | −1.28087 | − | 0.530555i | |||||
−6.47456 | + | 15.6310i | −0.233025 | + | 0.562571i | |||||
−5.84658 | + | 5.84658i | −0.210287 | + | 0.210287i | −0.804389 | − | 0.594102i | ||
0.594102 | + | 0.804389i | ||||||||
13.5381 | − | 13.5381i | 0.486616 | − | 0.486616i | |||||
0 | 0 | |||||||||
0.620435 | + | 0.256992i | 0.0222723 | + | 0.00922549i | |||||
2.06795 | + | 4.99247i | 0.0741872 | + | 0.179104i | |||||
20.0326i | 0.718205i | |||||||||
0.754064 | − | 0.312344i | 0.0270172 | − | 0.0111909i | |||||
0 | 0 | |||||||||
32.4567 | 1.16139 | |||||||||
22.1499 | − | 4.04873i | 0.792080 | − | 0.144782i | |||||
2.55945 | 0.0914673 | |||||||||
2.91732 | + | 2.91732i | 0.104190 | + | 0.104190i | |||||
0 | 0 | |||||||||
23.6279i | 0.842778i | |||||||||
4.08149 | + | 9.85358i | 0.145489 | + | 0.351242i | 0.979779 | − | 0.200085i | ||
−0.834289 | + | 0.551327i | ||||||||
0.232657 | + | 0.0963695i | 0.00828805 | + | 0.00343302i | |||||
−8.56247 | + | 20.6716i | −0.304832 | + | 0.735929i | |||||
0 | 0 | |||||||||
6.74277 | − | 6.74277i | 0.239745 | − | 0.239745i | |||||
−16.4627 | + | 39.7445i | −0.584977 | + | 1.41226i | |||||
4.10224 | + | 1.69920i | 0.145675 | + | 0.0603405i | |||||
10.7992 | + | 26.0715i | 0.383248 | + | 0.925242i | |||||
0 | 0 | |||||||||
−21.6955 | + | 8.98658i | −0.768978 | + | 0.318521i | |||||
16.0429 | + | 16.0429i | 0.568269 | + | 0.568269i | 0.931643 | − | 0.363374i | ||
−0.363374 | + | 0.931643i | ||||||||
1.25888 | 0.0445637 | |||||||||
−6.87286 | − | 1.47861i | −0.243144 | − | 0.0523093i | |||||
0 | 0 | |||||||||
−26.6733 | − | 26.6733i | −0.942454 | − | 0.942454i | |||||
−14.5660 | + | 6.03342i | −0.514342 | + | 0.213048i | |||||
− | 56.5023i | − | 1.99392i | |||||||
−7.96493 | − | 19.2290i | −0.280901 | − | 0.678156i | |||||
0 | 0 | |||||||||
3.54460 | − | 8.55742i | 0.124853 | − | 0.301422i | |||||
5.28472 | − | 5.28472i | 0.186031 | − | 0.186031i | |||||
13.8796 | − | 13.8796i | 0.488281 | − | 0.488281i | |||||
−7.24370 | + | 17.4878i | −0.254675 | + | 0.614840i | −0.998570 | − | 0.0534567i | ||
0.743895 | + | 0.668296i | ||||||||
0 | 0 | |||||||||
−10.8154 | − | 26.1106i | −0.379779 | − | 0.916867i | −0.992007 | − | 0.126186i | ||
0.612228 | − | 0.790681i | ||||||||
− | 4.83630i | − | 0.169721i | |||||||
30.0983 | − | 12.4671i | 1.05559 | − | 0.437241i | |||||
12.8794 | + | 12.8794i | 0.451423 | + | 0.451423i | |||||
0 | 0 | |||||||||
−1.12720 | − | 6.16671i | −0.0394598 | − | 0.215878i | |||||
6.45084 | 0.225686 | |||||||||
13.0285 | + | 13.0285i | 0.455530 | + | 0.455530i | |||||
−6.04495 | + | 2.50390i | −0.211228 | + | 0.0874934i | |||||
0 | 0 | |||||||||
5.59227 | + | 13.5009i | 0.195172 | + | 0.471186i | 0.990922 | − | 0.134439i | ||
−0.795750 | + | 0.605625i | ||||||||
6.67645 | + | 2.76548i | 0.232868 | + | 0.0964570i | |||||
−7.45453 | + | 17.9968i | −0.259848 | + | 0.627330i | −0.998928 | − | 0.0462883i | ||
0.739080 | + | 0.673618i | ||||||||
0.729767 | − | 0.729767i | 0.0254226 | − | 0.0254226i | |||||
0 | 0 | |||||||||
−1.17668 | + | 2.84076i | −0.0409420 | + | 0.0988428i | |||||
−9.01621 | − | 3.73464i | −0.313524 | − | 0.129866i | 0.220372 | − | 0.975416i | ||
−0.533896 | + | 0.845550i | ||||||||
7.50797 | + | 18.1258i | 0.260920 | + | 0.629916i | |||||
5.96301i | 0.207104i | 0.994624 | + | 0.103552i | ||||||
−0.994624 | + | 0.103552i | ||||||||
0 | 0 | |||||||||
−7.08978 | − | 7.08978i | −0.245942 | − | 0.245942i | |||||
−24.6446 | −0.854398 | |||||||||
23.2589 | − | 15.0230i | 0.805873 | − | 0.520517i | |||||
28.9081 | 1.00100 | |||||||||
0 | 0 | |||||||||
−4.73552 | + | 1.96152i | −0.163782 | + | 0.0678405i | |||||
0.765686i | 0.0264660i | |||||||||
−5.24528 | − | 12.6632i | −0.181195 | − | 0.437444i | |||||
20.9048 | + | 8.65906i | 0.721715 | + | 0.298944i | 0.713142 | − | 0.701019i | ||
0.00857233 | + | 0.999963i | ||||||||
0 | 0 | |||||||||
−28.0511 | + | 28.0511i | −0.967281 | + | 0.967281i | |||||
−17.9982 | + | 17.9982i | −0.620258 | + | 0.620258i | |||||
13.5100 | − | 32.6161i | 0.465310 | − | 1.12336i | |||||
15.7142 | + | 6.50903i | 0.540904 | + | 0.224050i | |||||
0 | 0 | |||||||||
5.07081i | 0.174338i | |||||||||
5.34904 | − | 2.21564i | 0.183795 | − | 0.0761304i | |||||
3.54624 | + | 3.54624i | 0.121779 | + | 0.121779i | |||||
−13.7950 | −0.473443 | |||||||||
0 | 0 | |||||||||
23.4901 | 0.805232 | |||||||||
−13.2940 | − | 13.2940i | −0.455444 | − | 0.455444i | |||||
6.10940 | − | 2.53060i | 0.209182 | − | 0.0866459i | −0.275632 | − | 0.961263i | ||
0.484814 | + | 0.874617i | ||||||||
− | 0.574166i | − | 0.0196476i | |||||||
0 | 0 | |||||||||
−21.2181 | − | 8.78882i | −0.725219 | − | 0.300396i | |||||
10.4589 | − | 25.2501i | 0.357270 | − | 0.862526i | −0.638412 | − | 0.769695i | ||
0.995682 | − | 0.0928314i | ||||||||
−30.5664 | + | 30.5664i | −1.04352 | + | 1.04352i | |||||
10.0721 | − | 10.0721i | 0.343654 | − | 0.343654i | −0.514085 | − | 0.857739i | ||
0.857739 | + | 0.514085i | ||||||||
0 | 0 | |||||||||
0.993355 | + | 0.411461i | 0.0338534 | + | 0.0140226i | |||||
10.4232 | + | 25.1639i | 0.355016 | + | 0.857084i | |||||
31.4670i | 1.07115i | 0.844488 | + | 0.535574i | ||||||
−0.844488 | + | 0.535574i | ||||||||
1.51379 | − | 0.627031i | 0.0515001 | − | 0.0213320i | |||||
0 | 0 | |||||||||
−34.4457 | −1.17051 | |||||||||
−42.0518 | − | 1.30888i | −1.42815 | − | 0.0444521i | |||||
1.44683 | 0.0491086 | |||||||||
4.89583 | + | 4.89583i | 0.166080 | + | 0.166080i | |||||
0 | 0 | |||||||||
− | 30.1733i | − | 1.02238i | |||||||
−13.7242 | − | 33.1331i | −0.464759 | − | 1.12203i | |||||
−0.658344 | − | 0.272695i | −0.0222816 | − | 0.00922933i | |||||
2.09415 | − | 5.05573i | 0.0708358 | − | 0.171013i | |||||
0 | 0 | |||||||||
−23.1429 | + | 23.1429i | −0.781925 | + | 0.781925i | |||||
2.13245 | − | 5.14819i | 0.0720078 | − | 0.173842i | −0.883778 | − | 0.467907i | ||
0.955785 | + | 0.294065i | ||||||||
−28.5251 | − | 11.8155i | −0.962677 | − | 0.398754i | |||||
1.86688 | + | 4.50705i | 0.0629684 | + | 0.152019i | |||||
0 | 0 | |||||||||
29.7926 | − | 12.3405i | 1.00374 | − | 0.415762i | 0.180572 | − | 0.983562i | ||
0.823167 | + | 0.567800i | ||||||||
−14.1223 | − | 14.1223i | −0.475521 | − | 0.475521i | |||||
38.2240 | 1.28634 | 0.643169 | − | 0.765724i | ||||||
0.643169 | + | 0.765724i | ||||||||
−3.72503 | + | 17.3147i | −0.125286 | + | 0.582356i | |||||
0 | 0 | |||||||||
−1.26835 | − | 1.26835i | −0.0426111 | − | 0.0426111i | |||||
−5.72381 | + | 2.37088i | −0.192187 | + | 0.0796063i | −0.476701 | − | 0.879065i | ||
0.284515 | + | 0.958672i | ||||||||
− | 29.8353i | − | 1.00121i | |||||||
2.53040 | + | 6.10892i | 0.0848668 | + | 0.204887i | |||||
0 | 0 | |||||||||
−15.4035 | + | 37.1872i | −0.516035 | + | 1.24582i | |||||
−0.827523 | + | 0.827523i | −0.0277075 | + | 0.0277075i | |||||
−1.20811 | + | 1.20811i | −0.0404279 | + | 0.0404279i | |||||
4.92639 | − | 11.8934i | 0.164763 | − | 0.397773i | |||||
0 | 0 | |||||||||
−0.946134 | − | 2.28417i | −0.0316081 | − | 0.0763088i | |||||
55.7485i | 1.86139i | |||||||||
−1.76006 | + | 0.729042i | −0.0587340 | + | 0.0243284i | |||||
−14.5264 | − | 14.5264i | −0.484483 | − | 0.484483i | |||||
0 | 0 | |||||||||
28.2731 | − | 18.2618i | 0.941915 | − | 0.608387i | |||||
3.62410 | 0.120669 | |||||||||
6.00894 | + | 6.00894i | 0.199965 | + | 0.199965i | |||||
−48.6406 | + | 20.1476i | −1.61776 | + | 0.670099i | |||||
0 | 0 | |||||||||
−4.51389 | − | 10.8975i | −0.149964 | − | 0.362045i | |||||
10.0069 | + | 4.14501i | 0.332275 | + | 0.137633i | 0.542583 | − | 0.840002i | ||
−0.210307 | + | 0.977635i | ||||||||
0.865889 | − | 2.09044i | 0.0287355 | − | 0.0693737i | |||||
−14.7276 | + | 14.7276i | −0.488485 | + | 0.488485i | |||||
0 | 0 | |||||||||
−15.0373 | + | 36.3032i | −0.498207 | + | 1.20278i | 0.452241 | + | 0.891896i | ||
−0.950448 | + | 0.310882i | ||||||||
−1.40755 | − | 0.583028i | −0.0466088 | − | 0.0193060i | |||||
28.9599 | + | 69.9154i | 0.958433 | + | 2.31386i | |||||
16.8061i | 0.555897i | |||||||||
0 | 0 | |||||||||
−9.91385 | − | 9.91385i | −0.327563 | − | 0.327563i | |||||
−5.35051 | −0.176689 | |||||||||
0.217929 | + | 1.19225i | 0.00719272 | + | 0.0393501i | |||||
48.2620 | 1.59202 | 0.796008 | − | 0.605286i | ||||||
0.796008 | + | 0.605286i | ||||||||
0 | 0 | |||||||||
−3.87812 | + | 1.60637i | −0.127788 | + | 0.0529317i | |||||
30.3045i | 0.998026i | |||||||||
−10.4301 | − | 25.1806i | −0.343312 | − | 0.828829i | |||||
−6.23827 | − | 2.58398i | −0.205224 | − | 0.0850066i | |||||
0 | 0 | |||||||||
−10.6315 | + | 10.6315i | −0.349374 | + | 0.349374i | |||||
−0.774357 | + | 0.774357i | −0.0254332 | + | 0.0254332i | |||||
−16.8233 | + | 40.6151i | −0.552252 | + | 1.33325i | |||||
−21.5317 | − | 8.91871i | −0.706431 | − | 0.292613i | 0.000395678 | − | 1.00000i | ||
−0.706827 | + | 0.707387i | ||||||||
0 | 0 | |||||||||
− | 6.72920i | − | 0.220541i | |||||||
6.55460 | − | 2.71501i | 0.214703 | − | 0.0889330i | |||||
19.0619 | + | 19.0619i | 0.624057 | + | 0.624057i | |||||
8.43745 | 0.276082 | |||||||||
0 | 0 | |||||||||
36.1250 | 1.18078 | |||||||||
6.87594 | + | 6.87594i | 0.224627 | + | 0.224627i | 0.810444 | − | 0.585816i | ||
−0.585816 | + | 0.810444i | ||||||||
−3.60471 | + | 1.49312i | −0.117698 | + | 0.0487520i | |||||
65.0674i | 2.12339i | |||||||||
0 | 0 | |||||||||
13.0919 | + | 5.42286i | 0.426785 | + | 0.176780i | 0.585728 | − | 0.810508i | ||
−0.158943 | + | 0.987288i | ||||||||
−9.86479 | + | 23.8157i | −0.321412 | + | 0.775958i | |||||
3.30491 | − | 3.30491i | 0.107623 | − | 0.107623i | |||||
2.63131 | − | 2.63131i | 0.0856418 | − | 0.0856418i | |||||
0 | 0 | |||||||||
26.4630 | + | 10.9613i | 0.860387 | + | 0.356384i | |||||
14.7284 | + | 35.5574i | 0.478607 | + | 1.15546i | 0.960262 | + | 0.279099i | ||
−0.481655 | + | 0.876361i | ||||||||
− | 4.01058i | − | 0.130257i | |||||||
−43.8357 | + | 18.1573i | −1.42297 | + | 0.589412i | |||||
0 | 0 | |||||||||
61.8987 | 2.00720 | |||||||||
6.37071 | − | 1.16449i | 0.206476 | − | 0.0377412i | |||||
−37.7984 | −1.22441 | −0.612206 | − | 0.790698i | ||||||
−0.612206 | + | 0.790698i | ||||||||
−17.1668 | − | 17.1668i | −0.555795 | − | 0.555795i | |||||
0 | 0 | |||||||||
1.38774i | 0.0448828i | |||||||||
36.6897 | + | 88.5768i | 1.18601 | + | 2.86328i | |||||
10.4721 | + | 4.33769i | 0.338339 | + | 0.140145i | |||||
−0.626240 | + | 1.51188i | −0.0202223 | + | 0.0488210i | |||||
0 | 0 | |||||||||
−17.5746 | + | 17.5746i | −0.566922 | + | 0.566922i | |||||
5.85325 | − | 14.1310i | 0.188716 | − | 0.455602i | |||||
22.5145 | + | 9.32583i | 0.725521 | + | 0.300521i | |||||
1.04508 | + | 2.52305i | 0.0336598 | + | 0.0812620i | |||||
0 | 0 | |||||||||
6.66009 | − | 2.75870i | 0.214285 | − | 0.0887598i | |||||
3.39288 | + | 3.39288i | 0.109108 | + | 0.109108i | 0.759553 | − | 0.650445i | ||
−0.650445 | + | 0.759553i | ||||||||
−31.9662 | −1.02743 | |||||||||
−5.81217 | + | 8.41221i | −0.186714 | + | 0.270239i | |||||
0 | 0 | |||||||||
−25.8080 | − | 25.8080i | −0.828217 | − | 0.828217i | 0.159053 | − | 0.987270i | ||
−0.987270 | + | 0.159053i | ||||||||
22.4774 | − | 9.31043i | 0.720962 | − | 0.298632i | |||||
6.54621i | 0.209862i | |||||||||
−9.75221 | − | 23.5439i | −0.312481 | − | 0.754396i | |||||
0 | 0 | |||||||||
−0.265916 | + | 0.641978i | −0.00851176 | + | 0.0205492i | |||||
−44.0684 | + | 44.0684i | −1.40987 | + | 1.40987i | −0.649569 | + | 0.760303i | ||
−0.760303 | + | 0.649569i | ||||||||
−12.3074 | + | 12.3074i | −0.393547 | + | 0.393547i | |||||
21.5965 | − | 52.1385i | 0.690227 | − | 1.66635i | |||||
0 | 0 | |||||||||
14.5627 | + | 35.1576i | 0.464953 | + | 1.12249i | |||||
− | 22.0034i | − | 0.702156i | |||||||
−37.1141 | + | 15.3732i | −1.18376 | + | 0.490328i | −0.885717 | − | 0.464225i | ||
−0.298040 | + | 0.954553i | ||||||||
−4.19764 | − | 4.19764i | −0.133816 | − | 0.133816i | |||||
0 | 0 | |||||||||
−26.7536 | − | 18.4846i | −0.852008 | − | 0.588670i | |||||
−2.25070 | −0.0716407 | |||||||||
3.04358 | + | 3.04358i | 0.0968291 | + | 0.0968291i | |||||
34.1282 | − | 14.1364i | 1.08521 | − | 0.449511i | |||||
0 | 0 | |||||||||
9.59778 | + | 23.1711i | 0.304883 | + | 0.736054i | 0.999855 | + | 0.0170168i | ||
−0.694972 | + | 0.719037i | ||||||||
−12.1504 | − | 5.03287i | −0.385776 | − | 0.159794i | |||||
30.5786 | − | 73.8232i | 0.970382 | − | 2.34271i | |||||
−2.49211 | + | 2.49211i | −0.0790449 | + | 0.0790449i | |||||
0 | 0 | |||||||||
16.7750 | − | 40.4985i | 0.531536 | − | 1.28324i | |||||
34.5204 | + | 14.2988i | 1.09327 | + | 0.452848i | 0.855146 | − | 0.518387i | ||
0.238125 | + | 0.971235i | ||||||||
1.80882 | + | 4.36687i | 0.0572571 | + | 0.138231i | |||||
1.26439i | 0.0400035i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 425.2.m.e.376.2 | 24 | ||
5.2 | odd | 4 | 85.2.m.a.19.5 | yes | 24 | ||
5.3 | odd | 4 | 85.2.m.a.19.2 | yes | 24 | ||
5.4 | even | 2 | inner | 425.2.m.e.376.5 | 24 | ||
15.2 | even | 4 | 765.2.bh.b.19.2 | 24 | |||
15.8 | even | 4 | 765.2.bh.b.19.5 | 24 | |||
17.3 | odd | 16 | 7225.2.a.by.1.8 | 24 | |||
17.9 | even | 8 | inner | 425.2.m.e.26.2 | 24 | ||
17.14 | odd | 16 | 7225.2.a.by.1.7 | 24 | |||
85.3 | even | 16 | 1445.2.b.i.579.18 | 24 | |||
85.9 | even | 8 | inner | 425.2.m.e.26.5 | 24 | ||
85.14 | odd | 16 | 7225.2.a.by.1.18 | 24 | |||
85.37 | even | 16 | 1445.2.b.i.579.7 | 24 | |||
85.43 | odd | 8 | 85.2.m.a.9.5 | yes | 24 | ||
85.48 | even | 16 | 1445.2.b.i.579.17 | 24 | |||
85.54 | odd | 16 | 7225.2.a.by.1.17 | 24 | |||
85.77 | odd | 8 | 85.2.m.a.9.2 | ✓ | 24 | ||
85.82 | even | 16 | 1445.2.b.i.579.8 | 24 | |||
255.77 | even | 8 | 765.2.bh.b.604.5 | 24 | |||
255.128 | even | 8 | 765.2.bh.b.604.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
85.2.m.a.9.2 | ✓ | 24 | 85.77 | odd | 8 | ||
85.2.m.a.9.5 | yes | 24 | 85.43 | odd | 8 | ||
85.2.m.a.19.2 | yes | 24 | 5.3 | odd | 4 | ||
85.2.m.a.19.5 | yes | 24 | 5.2 | odd | 4 | ||
425.2.m.e.26.2 | 24 | 17.9 | even | 8 | inner | ||
425.2.m.e.26.5 | 24 | 85.9 | even | 8 | inner | ||
425.2.m.e.376.2 | 24 | 1.1 | even | 1 | trivial | ||
425.2.m.e.376.5 | 24 | 5.4 | even | 2 | inner | ||
765.2.bh.b.19.2 | 24 | 15.2 | even | 4 | |||
765.2.bh.b.19.5 | 24 | 15.8 | even | 4 | |||
765.2.bh.b.604.2 | 24 | 255.128 | even | 8 | |||
765.2.bh.b.604.5 | 24 | 255.77 | even | 8 | |||
1445.2.b.i.579.7 | 24 | 85.37 | even | 16 | |||
1445.2.b.i.579.8 | 24 | 85.82 | even | 16 | |||
1445.2.b.i.579.17 | 24 | 85.48 | even | 16 | |||
1445.2.b.i.579.18 | 24 | 85.3 | even | 16 | |||
7225.2.a.by.1.7 | 24 | 17.14 | odd | 16 | |||
7225.2.a.by.1.8 | 24 | 17.3 | odd | 16 | |||
7225.2.a.by.1.17 | 24 | 85.54 | odd | 16 | |||
7225.2.a.by.1.18 | 24 | 85.14 | odd | 16 |