Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [875,2,Mod(82,875)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(875, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([27, 50]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("875.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 875.bb (of order , degree , not 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 175) |
Sato-Tate group: |
Embedding invariants
Embedding label | 607.12 | ||
Character | 875.607 | ||
Dual form | 875.2.bb.c.493.12 |
-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 .
0.423319 | + | 0.651855i | 0.299332 | + | 0.460931i | 0.956049 | − | 0.293206i | ||
−0.656717 | + | 0.754137i | ||||||||
−0.402507 | − | 1.04857i | −0.232387 | − | 0.605390i | 0.766953 | − | 0.641703i | ||
−0.999340 | + | 0.0363135i | ||||||||
0.567758 | − | 1.27521i | 0.283879 | − | 0.637603i | |||||
0 | 0 | |||||||||
0.513123 | − | 0.706254i | 0.209482 | − | 0.288327i | |||||
−1.24404 | − | 2.33503i | −0.470201 | − | 0.882559i | |||||
2.60695 | − | 0.412900i | 0.921695 | − | 0.145982i | |||||
1.29196 | − | 1.16328i | 0.430652 | − | 0.387761i | |||||
0 | 0 | |||||||||
−0.888306 | + | 0.986564i | −0.267834 | + | 0.297460i | −0.862027 | − | 0.506863i | ||
0.594192 | + | 0.804323i | ||||||||
−1.56566 | − | 0.0820529i | −0.451968 | − | 0.0236866i | |||||
−1.79077 | + | 0.912442i | −0.496670 | + | 0.253066i | −0.684336 | − | 0.729167i | ||
0.187666 | + | 0.982233i | ||||||||
0.995478 | − | 1.79939i | 0.266053 | − | 0.480908i | |||||
0 | 0 | |||||||||
−0.495338 | − | 0.550128i | −0.123834 | − | 0.137532i | |||||
0.585165 | + | 0.722619i | 0.141923 | + | 0.175261i | 0.843151 | − | 0.537676i | ||
−0.701228 | + | 0.712937i | ||||||||
1.30520 | + | 0.349728i | 0.307639 | + | 0.0824316i | |||||
4.81455 | − | 2.14358i | 1.10453 | − | 0.491770i | 0.228268 | − | 0.973598i | ||
0.876266 | + | 0.481828i | ||||||||
0 | 0 | |||||||||
−1.94770 | + | 2.24432i | −0.425023 | + | 0.489750i | |||||
−1.01913 | − | 0.161415i | −0.217280 | − | 0.0344138i | |||||
0.960654 | − | 0.623856i | 0.200310 | − | 0.130083i | −0.440586 | − | 0.897710i | ||
0.640897 | + | 0.767627i | ||||||||
−1.48227 | − | 2.56736i | −0.302566 | − | 0.524060i | |||||
0 | 0 | |||||||||
−1.35285 | − | 0.781066i | −0.265315 | − | 0.153180i | |||||
−4.74204 | − | 2.41619i | −0.912607 | − | 0.464996i | |||||
−3.68396 | + | 0.260667i | −0.696202 | + | 0.0492614i | |||||
−4.04060 | − | 5.56140i | −0.750320 | − | 1.03273i | −0.997958 | − | 0.0638742i | ||
0.247638 | − | 0.968853i | ||||||||
0 | 0 | |||||||||
−9.74492 | − | 1.02423i | −1.75024 | − | 0.183958i | −0.825460 | − | 0.564461i | ||
−0.924780 | + | 0.380503i | ||||||||
1.51519 | − | 5.65478i | 0.267851 | − | 0.999634i | |||||
1.39203 | + | 0.534349i | 0.242321 | + | 0.0930182i | |||||
−0.223331 | + | 0.687341i | −0.0383009 | + | 0.117878i | |||||
0 | 0 | |||||||||
−0.749906 | − | 2.30797i | −0.124984 | − | 0.384662i | |||||
−0.401079 | + | 7.65304i | −0.0659369 | + | 1.25815i | 0.742612 | + | 0.669722i | ||
−0.808549 | + | 0.588430i | ||||||||
3.43539 | + | 2.23097i | 0.557295 | + | 0.361911i | |||||
1.67755 | + | 1.51047i | 0.268623 | + | 0.241869i | |||||
0 | 0 | |||||||||
0.0622653 | + | 0.0202312i | 0.00972421 | + | 0.00315959i | 0.313875 | − | 0.949464i | ||
−0.304151 | + | 0.952624i | ||||||||
−2.28747 | − | 0.319555i | −0.352964 | − | 0.0493085i | |||||
3.34331 | − | 3.34331i | 0.509850 | − | 0.509850i | −0.404630 | − | 0.914480i | ||
0.914480 | + | 0.404630i | ||||||||
0.753729 | + | 1.69290i | 0.113629 | + | 0.255215i | |||||
0 | 0 | |||||||||
0.813327 | + | 0.362116i | 0.119919 | + | 0.0533912i | |||||
0.145063 | + | 0.117470i | 0.0211596 | + | 0.0171347i | 0.639842 | − | 0.768507i | ||
−0.618682 | + | 0.785641i | ||||||||
−0.377469 | + | 0.740824i | −0.0544829 | + | 0.106929i | |||||
−3.90475 | + | 5.80972i | −0.557822 | + | 0.829961i | |||||
0 | 0 | |||||||||
0.522180 | − | 0.904443i | 0.0731199 | − | 0.126647i | |||||
0.146828 | + | 2.80164i | 0.0203614 | + | 0.388518i | |||||
10.4278 | − | 4.00284i | 1.43236 | − | 0.549832i | 0.486292 | − | 0.873796i | ||
0.946069 | + | 0.323964i | ||||||||
−0.432393 | − | 4.11394i | −0.0588412 | − | 0.559837i | |||||
0 | 0 | |||||||||
−4.20727 | − | 5.57365i | −0.562220 | − | 0.744810i | |||||
−4.18557 | − | 4.18557i | −0.554392 | − | 0.554392i | |||||
1.91476 | − | 4.98813i | 0.251421 | − | 0.654974i | |||||
−4.71962 | + | 1.00319i | −0.614442 | + | 0.130604i | −0.504612 | − | 0.863347i | ||
−0.109831 | + | 0.993950i | ||||||||
0 | 0 | |||||||||
0.951026 | − | 4.47423i | 0.121766 | − | 0.572866i | −0.874386 | − | 0.485231i | ||
0.996153 | − | 0.0876354i | ||||||||
−3.45756 | − | 6.78585i | −0.439111 | − | 0.861804i | |||||
−4.32354 | − | 1.56960i | −0.544715 | − | 0.197750i | |||||
2.91943 | − | 0.948580i | 0.364929 | − | 0.118573i | |||||
0 | 0 | |||||||||
0.240954 | + | 1.13360i | 0.0296594 | + | 0.139536i | |||||
−6.60139 | + | 5.34570i | −0.806488 | + | 0.653081i | −0.941217 | − | 0.337801i | ||
0.134730 | + | 0.990882i | ||||||||
1.25372 | − | 0.335933i | 0.152036 | − | 0.0407379i | |||||
−1.04082 | − | 0.756203i | −0.125300 | − | 0.0910361i | |||||
0 | 0 | |||||||||
8.72491 | − | 6.33902i | 1.03546 | − | 0.752303i | 0.0660625 | − | 0.997815i | ||
0.969393 | + | 0.245513i | ||||||||
2.88774 | − | 3.56607i | 0.340324 | − | 0.420265i | |||||
−1.64457 | + | 0.0861882i | −0.192482 | + | 0.0100876i | −0.148333 | − | 0.988937i | ||
−0.0441488 | + | 0.999025i | ||||||||
−5.15845 | + | 2.97823i | −0.599658 | + | 0.346213i | |||||
0 | 0 | |||||||||
− | 7.35658i | − | 0.843857i | |||||||
3.40874 | + | 0.846904i | 0.388462 | + | 0.0965136i | |||||
−0.274469 | + | 1.73293i | −0.0310775 | + | 0.196216i | |||||
10.3787 | − | 1.09084i | 1.16769 | − | 0.122729i | 0.499224 | − | 0.866473i | ||
0.668465 | + | 0.743744i | ||||||||
0 | 0 | |||||||||
−0.0796638 | + | 0.757950i | −0.00885153 | + | 0.0842167i | |||||
0.0131703 | + | 0.0491522i | 0.00145442 | + | 0.00542796i | |||||
−0.978599 | − | 6.17863i | −0.107415 | − | 0.678193i | −0.981362 | − | 0.192170i | ||
0.873946 | − | 0.486022i | ||||||||
1.75614 | + | 3.75795i | 0.191611 | + | 0.410026i | |||||
0 | 0 | |||||||||
3.59464 | + | 0.764065i | 0.387620 | + | 0.0823912i | |||||
−4.20513 | + | 6.47533i | −0.450837 | + | 0.694228i | |||||
−1.90842 | + | 2.93870i | −0.203438 | + | 0.313267i | |||||
15.3519 | + | 3.26314i | 1.62729 | + | 0.345892i | 0.929046 | − | 0.369964i | ||
0.698248 | + | 0.715856i | ||||||||
0 | 0 | |||||||||
4.35836 | + | 3.04639i | 0.456880 | + | 0.319349i | |||||
−0.250126 | − | 1.57923i | −0.0260774 | − | 0.164646i | |||||
2.84842 | + | 10.6304i | 0.295367 | + | 1.10233i | |||||
−0.0151652 | + | 0.144287i | −0.00156417 | + | 0.0148821i | |||||
0 | 0 | |||||||||
−6.53929 | + | 0.687307i | −0.667413 | + | 0.0701479i | |||||
−2.72136 | + | 17.1820i | −0.276312 | + | 1.74457i | 0.325149 | + | 0.945663i | ||
−0.601461 | + | 0.798902i | ||||||||
−5.44005 | − | 0.0859631i | −0.549528 | − | 0.00868358i | |||||
2.30795i | 0.231958i | |||||||||
0 | 0 | |||||||||
−3.07011 | + | 1.77253i | −0.305487 | + | 0.176373i | −0.644905 | − | 0.764262i | ||
0.339418 | + | 0.940636i | ||||||||
0.810614 | − | 0.0424825i | 0.0802628 | − | 0.00420639i | |||||
4.00546 | − | 4.94633i | 0.394669 | − | 0.487376i | −0.540617 | − | 0.841269i | ||
0.935286 | + | 0.353893i | ||||||||
−4.29169 | + | 3.11810i | −0.420835 | + | 0.305755i | |||||
0 | 0 | |||||||||
7.02354 | + | 5.10290i | 0.682186 | + | 0.495637i | |||||
9.52075 | − | 2.55108i | 0.920406 | − | 0.246622i | 0.232647 | − | 0.972561i | ||
0.687759 | + | 0.725939i | ||||||||
−5.77347 | + | 4.67527i | −0.555553 | + | 0.449878i | |||||
−2.25184 | − | 10.5941i | −0.215687 | − | 1.01473i | −0.944118 | − | 0.329609i | ||
0.728430 | − | 0.685120i | ||||||||
0 | 0 | |||||||||
8.18615 | − | 2.65984i | 0.776995 | − | 0.252461i | |||||
−0.668350 | + | 1.84101i | −0.0631531 | + | 0.173959i | |||||
3.00115 | + | 5.89008i | 0.282324 | + | 0.554092i | 0.988002 | − | 0.154440i | ||
−0.705678 | + | 0.708533i | ||||||||
0.956551 | − | 4.50022i | 0.0895892 | − | 0.421484i | |||||
0 | 0 | |||||||||
−9.38601 | + | 1.99506i | −0.871470 | + | 0.185237i | |||||
−1.25217 | + | 3.26200i | −0.115763 | + | 0.301572i | |||||
−2.65184 | − | 2.65184i | −0.244122 | − | 0.244122i | |||||
0.959372 | − | 2.26534i | 0.0879455 | − | 0.207664i | |||||
0 | 0 | |||||||||
0.965593 | + | 9.18700i | 0.0877811 | + | 0.835182i | |||||
3.31913 | − | 1.27410i | 0.300500 | − | 0.115351i | |||||
−0.00384843 | − | 0.0734325i | −0.000347002 | − | 0.00662118i | |||||
−6.83886 | + | 11.8453i | −0.614148 | + | 1.06374i | |||||
0 | 0 | |||||||||
−0.807091 | − | 3.48276i | −0.0719014 | − | 0.310269i | |||||
8.39463 | − | 16.4754i | 0.744903 | − | 1.46195i | −0.137023 | − | 0.990568i | ||
0.881927 | − | 0.471387i | ||||||||
−7.24505 | − | 5.86692i | −0.640378 | − | 0.518568i | |||||
−4.85139 | − | 2.15998i | −0.427141 | − | 0.190175i | |||||
0 | 0 | |||||||||
6.81590 | + | 15.3088i | 0.595508 | + | 1.33753i | 0.920102 | + | 0.391679i | ||
−0.324594 | + | 0.945853i | ||||||||
1.47174 | − | 1.47174i | 0.128098 | − | 0.128098i | |||||
−10.9948 | − | 8.57545i | −0.953370 | − | 0.743586i | |||||
−6.27911 | − | 2.04021i | −0.542433 | − | 0.176247i | |||||
0 | 0 | |||||||||
1.82386 | + | 1.64221i | 0.156395 | + | 0.140819i | |||||
2.76974 | + | 1.79869i | 0.236635 | + | 0.153673i | 0.657509 | − | 0.753446i | ||
−0.420874 | + | 0.907119i | ||||||||
0.0523334 | − | 0.998581i | 0.00445492 | − | 0.0850048i | |||||
2.66592 | + | 8.20486i | 0.226120 | + | 0.695927i | 0.998176 | + | 0.0603721i | ||
−0.772055 | + | 0.635555i | ||||||||
0 | 0 | |||||||||
0.0647859 | − | 0.199391i | 0.00545596 | − | 0.0167917i | |||||
7.82554 | + | 3.00394i | 0.656705 | + | 0.252085i | |||||
0.690568 | − | 2.57723i | 0.0577482 | − | 0.215519i | |||||
−1.27991 | − | 0.134524i | −0.106659 | − | 0.0112103i | |||||
0 | 0 | |||||||||
−0.752360 | − | 1.03553i | −0.0622658 | − | 0.0857015i | |||||
7.66357 | + | 1.75594i | 0.632080 | + | 0.144827i | |||||
9.53148 | + | 4.85653i | 0.783483 | + | 0.399205i | |||||
0.0342344 | + | 0.0197652i | 0.00280459 | + | 0.00161923i | 0.501402 | − | 0.865215i | ||
−0.498597 | + | 0.866834i | ||||||||
0 | 0 | |||||||||
4.89690 | + | 8.48169i | 0.398504 | + | 0.690230i | 0.993542 | − | 0.113468i | ||
−0.595037 | + | 0.803698i | ||||||||
11.6662 | − | 7.57612i | 0.946254 | − | 0.614505i | |||||
1.59662 | + | 0.252879i | 0.129079 | + | 0.0204441i | |||||
0.890929 | + | 2.58052i | 0.0717931 | + | 0.207944i | |||||
0 | 0 | |||||||||
2.87861 | − | 1.28164i | 0.230473 | − | 0.102613i | |||||
12.7152 | + | 3.40702i | 1.01478 | + | 0.271910i | 0.727626 | − | 0.685974i | ||
0.287156 | + | 0.957884i | ||||||||
5.10455 | + | 6.30360i | 0.406096 | + | 0.501487i | |||||
−8.39448 | − | 9.32301i | −0.665725 | − | 0.739363i | |||||
0 | 0 | |||||||||
−2.65181 | − | 1.46706i | −0.208992 | − | 0.115621i | |||||
−0.527797 | + | 0.268926i | −0.0414676 | + | 0.0211288i | |||||
3.48720 | + | 0.182756i | 0.273138 | + | 0.0143146i | 0.188413 | − | 0.982090i | ||
0.0847249 | + | 0.996404i | ||||||||
0.0611506 | − | 0.0679147i | 0.00477506 | − | 0.00530324i | |||||
0 | 0 | |||||||||
3.61331 | − | 3.25344i | 0.280447 | − | 0.252516i | |||||
−18.9176 | + | 2.99626i | −1.46389 | + | 0.231857i | −0.836979 | − | 0.547235i | ||
−0.626910 | + | 0.779092i | ||||||||
−4.15088 | + | 6.65503i | −0.320247 | + | 0.513447i | |||||
−5.26691 | + | 7.24928i | −0.405147 | + | 0.557637i | |||||
0 | 0 | |||||||||
3.72661 | − | 8.37009i | 0.284981 | − | 0.640077i | |||||
−2.36522 | − | 6.16160i | −0.180346 | − | 0.469818i | |||||
2.70053 | + | 4.15845i | 0.205317 | + | 0.316161i | 0.926296 | − | 0.376796i | ||
−0.720979 | + | 0.692957i | ||||||||
−6.00109 | −0.454941 | |||||||||
0 | 0 | |||||||||
0.982748 | 0.0740774 | |||||||||
2.95159 | + | 4.54504i | 0.221855 | + | 0.341626i | |||||
4.37165 | + | 11.3885i | 0.327669 | + | 0.853607i | |||||
8.23757 | − | 18.5019i | 0.615705 | − | 1.38290i | −0.289194 | − | 0.957270i | ||
0.904899 | − | 0.425626i | ||||||||
0 | 0 | |||||||||
−2.67679 | + | 3.68429i | −0.198965 | + | 0.273851i | −0.896828 | − | 0.442380i | ||
0.697863 | + | 0.716231i | ||||||||
−0.140827 | + | 4.13061i | −0.0104388 | + | 0.306181i | |||||
−5.07431 | + | 0.803693i | −0.375104 | + | 0.0594107i | |||||
2.24679 | − | 2.02301i | 0.165635 | − | 0.149139i | |||||
0 | 0 | |||||||||
−5.72372 | + | 6.35683i | −0.419683 | + | 0.466105i | |||||
−1.23272 | − | 0.0646039i | −0.0901451 | − | 0.00472430i | |||||
0.232159 | − | 0.118291i | 0.0169319 | − | 0.00862725i | |||||
0.257382 | + | 14.0787i | 0.0187218 | + | 1.02407i | |||||
0 | 0 | |||||||||
−10.3573 | − | 11.5029i | −0.749427 | − | 0.832323i | 0.240976 | − | 0.970531i | ||
−0.990403 | + | 0.138208i | ||||||||
−2.16974 | − | 2.67940i | −0.156587 | − | 0.193369i | |||||
−7.57383 | − | 2.02940i | −0.545176 | − | 0.146080i | −0.0242890 | − | 0.999705i | ||
−0.520887 | + | 0.853625i | ||||||||
−12.3522 | + | 5.49953i | −0.886833 | + | 0.394843i | |||||
0 | 0 | |||||||||
5.19164 | + | 8.27788i | 0.370831 | + | 0.591277i | |||||
16.1577 | + | 2.55912i | 1.15119 | + | 0.182330i | 0.702718 | − | 0.711469i | ||
0.448469 | + | 0.893799i | ||||||||
−1.50445 | + | 0.976999i | −0.106916 | + | 0.0694323i | |||||
13.6561 | + | 23.6530i | 0.968053 | + | 1.67672i | 0.701179 | + | 0.712985i | ||
0.266874 | + | 0.963731i | ||||||||
0 | 0 | |||||||||
8.26242 | + | 4.77031i | 0.582786 | + | 0.336472i | |||||
−2.45507 | − | 1.25092i | −0.172738 | − | 0.0880144i | |||||
−7.95942 | + | 16.3535i | −0.558641 | + | 1.14779i | |||||
−0.856878 | − | 1.17939i | −0.0599935 | − | 0.0825739i | |||||
0 | 0 | |||||||||
4.91987 | + | 0.517100i | 0.342784 | + | 0.0360280i | |||||
0.515402 | − | 1.92351i | 0.0358229 | − | 0.133693i | |||||
1.38899 | + | 0.533185i | 0.0963095 | + | 0.0369697i | |||||
−2.16202 | + | 6.65402i | −0.149550 | + | 0.460268i | |||||
0 | 0 | |||||||||
4.53761 | + | 13.9653i | 0.312382 | + | 0.961413i | 0.976819 | + | 0.214068i | ||
−0.664437 | + | 0.747345i | ||||||||
0.815998 | − | 15.5702i | 0.0560430 | − | 1.06936i | |||||
−10.1587 | − | 6.59714i | −0.696063 | − | 0.452029i | |||||
5.69325 | + | 5.12622i | 0.389182 | + | 0.350421i | |||||
0 | 0 | |||||||||
−13.3599 | − | 4.34090i | −0.909027 | − | 0.295361i | |||||
9.73141 | + | 24.0289i | 0.660611 | + | 1.63119i | |||||
5.95255 | − | 5.95255i | 0.403158 | − | 0.403158i | |||||
0.752324 | + | 1.68975i | 0.0508373 | + | 0.114183i | |||||
0 | 0 | |||||||||
−1.70724 | − | 0.760113i | −0.114842 | − | 0.0511307i | |||||
5.19919 | + | 4.21022i | 0.348947 | + | 0.282571i | |||||
9.81559 | − | 19.2642i | 0.657301 | − | 1.29003i | −0.286046 | − | 0.958216i | ||
0.943346 | − | 0.331809i | ||||||||
−15.0891 | + | 3.49672i | −1.00818 | + | 0.233634i | |||||
0 | 0 | |||||||||
−2.56903 | + | 4.44970i | −0.170890 | + | 0.295989i | |||||
−0.492014 | − | 9.38818i | −0.0326561 | − | 0.623116i | −0.965113 | − | 0.261834i | ||
0.932457 | − | 0.361281i | ||||||||
−7.71385 | + | 2.96107i | −0.510862 | + | 0.196102i | |||||
−0.325389 | − | 3.09587i | −0.0215023 | − | 0.204581i | 0.978496 | − | 0.206265i | ||
−0.999999 | + | 0.00168368i | ||||||||
0 | 0 | |||||||||
−0.484007 | − | 3.91517i | −0.0318454 | − | 0.257600i | |||||
−12.8299 | − | 12.8299i | −0.842326 | − | 0.842326i | |||||
−10.4487 | + | 27.2198i | −0.684516 | + | 1.78323i | −0.0654920 | + | 0.997853i | ||
−0.619024 | + | 0.785372i | ||||||||
−2.65642 | + | 0.564639i | −0.173656 | + | 0.0369116i | |||||
0 | 0 | |||||||||
−1.40033 | + | 6.58805i | −0.0911540 | + | 0.428846i | |||||
−5.32129 | − | 10.4436i | −0.345655 | − | 0.678386i | |||||
1.88279 | − | 0.333592i | 0.122043 | − | 0.0216236i | |||||
3.05660 | − | 0.993150i | 0.197715 | − | 0.0642416i | −0.208485 | − | 0.978025i | ||
0.406201 | + | 0.913784i | ||||||||
0 | 0 | |||||||||
5.57588 | + | 26.2325i | 0.359174 | + | 1.68978i | 0.672469 | + | 0.740125i | ||
−0.313295 | + | 0.949656i | ||||||||
−5.57983 | + | 4.51846i | −0.358685 | + | 0.290458i | |||||
−14.5955 | + | 3.91085i | −0.936301 | + | 0.250881i | |||||
−5.16561 | − | 3.75303i | −0.330694 | − | 0.240263i | |||||
0 | 0 | |||||||||
0.0462382 | − | 0.0335940i | 0.00294804 | − | 0.00214188i | |||||
−6.66586 | + | 8.23165i | −0.424138 | + | 0.523767i | |||||
−25.8274 | + | 1.35356i | −1.64004 | + | 0.0859510i | |||||
−6.08480 | + | 3.51306i | −0.385609 | + | 0.222631i | |||||
0 | 0 | |||||||||
− | 13.7541i | − | 0.868150i | −0.900877 | − | 0.434075i | ||||
0.900877 | − | 0.434075i | ||||||||
−4.45628 | + | 4.62225i | −0.280719 | + | 0.291175i | |||||
−0.237881 | + | 1.50192i | −0.0149555 | + | 0.0944250i | |||||
14.2932 | − | 1.50227i | 0.896833 | − | 0.0942610i | |||||
0 | 0 | |||||||||
1.39915 | − | 13.3120i | 0.0874468 | − | 0.832000i | |||||
−2.39177 | − | 8.92621i | −0.149195 | − | 0.556802i | −0.999533 | − | 0.0305651i | ||
0.850338 | − | 0.526237i | ||||||||
−0.645695 | − | 4.07676i | −0.0401992 | − | 0.253808i | |||||
18.3691 | − | 8.58412i | 1.14140 | − | 0.533391i | |||||
0 | 0 | |||||||||
−11.6898 | − | 2.48474i | −0.723578 | − | 0.153801i | |||||
−7.09379 | + | 10.9235i | −0.438256 | + | 0.674854i | |||||
4.57051 | − | 7.03797i | 0.281830 | − | 0.433980i | −0.669198 | − | 0.743084i | ||
0.951028 | + | 0.309104i | ||||||||
3.84957 | + | 0.818252i | 0.236925 | + | 0.0503599i | |||||
0 | 0 | |||||||||
0.935639 | − | 10.7972i | 0.0573677 | − | 0.662017i | |||||
−2.75761 | − | 17.4109i | −0.168763 | − | 1.06553i | |||||
3.06887 | + | 11.4532i | 0.187461 | + | 0.699615i | |||||
0.460334 | − | 4.37978i | 0.0280670 | − | 0.267040i | −0.971485 | − | 0.237102i | ||
0.999552 | − | 0.0299378i | ||||||||
0 | 0 | |||||||||
−3.41350 | + | 0.358773i | −0.207355 | + | 0.0217939i | −0.207636 | − | 0.978206i | ||
0.000281350 | 1.00000i | |||||||||
0.107679 | − | 0.679856i | 0.00652898 | − | 0.0412223i | |||||
1.44007 | − | 5.79622i | 0.0871572 | − | 0.350803i | |||||
2.56689i | 0.155072i | |||||||||
0 | 0 | |||||||||
−1.55525 | + | 0.897924i | −0.0936150 | + | 0.0540487i | |||||
7.68850 | − | 0.402937i | 0.461957 | − | 0.0242102i | 0.180062 | − | 0.983655i | ||
0.281895 | + | 0.959445i | ||||||||
−4.21984 | + | 5.21107i | −0.253089 | + | 0.312539i | |||||
−13.7815 | + | 10.0128i | −0.825076 | + | 0.599453i | |||||
0 | 0 | |||||||||
19.6291 | + | 14.2614i | 1.17097 | + | 0.850761i | 0.991125 | − | 0.132934i | ||
0.179847 | + | 0.983695i | ||||||||
0.157399 | − | 0.0421749i | 0.00937296 | − | 0.00251148i | |||||
5.63377 | − | 4.56213i | 0.334893 | − | 0.271191i | −0.447093 | − | 0.894488i | ||
0.781985 | + | 0.623297i | ||||||||
−3.12991 | − | 14.7251i | −0.185726 | − | 0.873772i | |||||
0 | 0 | |||||||||
1.97231 | − | 0.640843i | 0.116625 | − | 0.0378939i | |||||
−0.0302197 | − | 0.170560i | −0.00178381 | − | 0.0100678i | |||||
−4.62055 | − | 9.06833i | −0.272268 | − | 0.534357i | |||||
3.35474 | − | 15.7828i | 0.197338 | − | 0.928400i | |||||
0 | 0 | |||||||||
19.1118 | − | 4.06234i | 1.12035 | − | 0.238138i | |||||
−0.823809 | + | 2.14610i | −0.0482098 | + | 0.125591i | |||||
−22.0206 | − | 22.0206i | −1.28645 | − | 1.28645i | −0.936925 | − | 0.349529i | ||
−0.349529 | − | 0.936925i | ||||||||
2.09952 | + | 5.73885i | 0.122446 | + | 0.334697i | |||||
0 | 0 | |||||||||
2.11435 | + | 20.1167i | 0.122894 | + | 1.16926i | |||||
6.59611 | − | 2.53201i | 0.382745 | − | 0.146922i | |||||
0.00160802 | + | 0.0306828i | 9.31501e−5 | + | 0.00177741i | |||||
−1.15108 | + | 1.99372i | −0.0665684 | + | 0.115300i | |||||
0 | 0 | |||||||||
−11.9659 | − | 3.64755i | −0.689705 | − | 0.210241i | |||||
−3.45587 | + | 6.78253i | −0.198863 | + | 0.390291i | |||||
3.09435 | + | 2.50576i | 0.177766 | + | 0.143952i | |||||
−3.56407 | − | 1.58683i | −0.204414 | − | 0.0910108i | |||||
0 | 0 | |||||||||
0.511039 | + | 1.14781i | 0.0292141 | + | 0.0656160i | |||||
−2.33566 | + | 2.33566i | −0.133303 | + | 0.133303i | −0.770610 | − | 0.637307i | ||
0.637307 | + | 0.770610i | ||||||||
3.01532 | − | 3.86601i | 0.171814 | − | 0.220286i | |||||
−6.79877 | − | 2.20905i | −0.386768 | − | 0.125669i | |||||
0 | 0 | |||||||||
−4.59090 | − | 4.13366i | −0.260326 | − | 0.234399i | 0.528624 | − | 0.848856i | ||
−0.788950 | + | 0.614458i | ||||||||
4.99696 | + | 3.24507i | 0.282897 | + | 0.183716i | |||||
0.586184 | − | 11.1851i | 0.0331331 | − | 0.632216i | −0.930712 | − | 0.365753i | ||
0.963845 | − | 0.266463i | ||||||||
3.16170 | + | 9.73071i | 0.178425 | + | 0.549136i | |||||
0 | 0 | |||||||||
4.50152 | − | 13.8542i | 0.253230 | − | 0.779362i | |||||
8.39567 | + | 3.22280i | 0.471548 | + | 0.181010i | 0.582525 | − | 0.812813i | ||
−0.110977 | + | 0.993823i | ||||||||
2.52370 | − | 9.41859i | 0.141522 | − | 0.528168i | |||||
9.07597 | + | 0.953923i | 0.508157 | + | 0.0534094i | |||||
0 | 0 | |||||||||
−6.50714 | − | 8.95630i | −0.363193 | − | 0.499892i | |||||
−0.166253 | − | 2.34963i | −0.00926494 | − | 0.130940i | |||||
4.36630 | + | 2.22474i | 0.242947 | + | 0.123788i | |||||
0.921313 | + | 0.531920i | 0.0511840 | + | 0.0295511i | |||||
0 | 0 | |||||||||
1.35707 | + | 2.35051i | 0.0751610 | + | 0.130183i | |||||
−10.2022 | + | 6.62539i | −0.564183 | + | 0.366385i | |||||
0.170676 | + | 0.0270324i | 0.00942401 | + | 0.00149262i | |||||
0.0938322 | − | 0.484864i | 0.00517314 | − | 0.0267314i | |||||
0 | 0 | |||||||||
−6.60155 | + | 2.93920i | −0.362854 | + | 0.161553i | −0.580062 | − | 0.814572i | ||
0.217208 | + | 0.976125i | ||||||||
−8.43463 | − | 2.26005i | −0.462910 | − | 0.124036i | |||||
8.38447 | + | 10.3540i | 0.459466 | + | 0.567394i | |||||
−9.96132 | − | 11.0632i | −0.545059 | − | 0.605349i | |||||
0 | 0 | |||||||||
2.19943 | − | 0.0402094i | 0.119989 | − | 0.00219360i | |||||
−9.03950 | + | 4.60585i | −0.492413 | + | 0.250897i | −0.682521 | − | 0.730866i | ||
0.190108 | + | 0.981763i | ||||||||
−6.95506 | − | 0.364499i | −0.378305 | − | 0.0198261i | |||||
4.96815 | − | 5.51769i | 0.269833 | − | 0.299680i | |||||
0 | 0 | |||||||||
9.66695 | − | 8.70416i | 0.523494 | − | 0.471356i | |||||
7.03363 | − | 1.11402i | 0.380335 | − | 0.0602392i | |||||
18.4235 | + | 1.89023i | 0.994778 | + | 0.102063i | |||||
7.33539 | − | 10.0963i | 0.395498 | − | 0.544356i | |||||
0 | 0 | |||||||||
−1.56752 | + | 3.52070i | −0.0842703 | + | 0.189274i | |||||
2.87267 | + | 7.48356i | 0.154213 | + | 0.401738i | 0.988821 | − | 0.149105i | ||
−0.834608 | + | 0.550844i | ||||||||
5.86988 | + | 9.03883i | 0.314659 | + | 0.484532i | |||||
−8.82065 | −0.472158 | −0.236079 | − | 0.971734i | ||||||
−0.236079 | + | 0.971734i | ||||||||
0 | 0 | |||||||||
10.6965 | 0.570939 | |||||||||
4.23285 | + | 6.51801i | 0.225612 | + | 0.347411i | |||||
−6.03343 | − | 15.7176i | −0.321127 | − | 0.836565i | −0.995197 | − | 0.0978967i | ||
0.674070 | − | 0.738668i | ||||||||
−1.71324 | + | 3.84801i | −0.0910579 | + | 0.204519i | |||||
0 | 0 | |||||||||
12.8773 | − | 17.7241i | 0.682497 | − | 0.939376i | |||||
−2.76151 | − | 0.0941494i | −0.146155 | − | 0.00498292i | |||||
15.5477 | − | 2.46251i | 0.821720 | − | 0.130148i | |||||
−10.2724 | + | 9.24932i | −0.542157 | + | 0.488161i | −0.894104 | − | 0.447859i | ||
0.351947 | + | 0.936020i | ||||||||
0 | 0 | |||||||||
5.87151 | − | 6.52098i | 0.309027 | − | 0.343209i | |||||
−3.53476 | − | 0.185249i | −0.185783 | − | 0.00973647i | |||||
9.24451 | − | 4.71031i | 0.485211 | − | 0.247227i | |||||
6.35927 | − | 3.82819i | 0.333316 | − | 0.200652i | |||||
0 | 0 | |||||||||
−2.67195 | − | 2.96750i | −0.139665 | − | 0.155114i | |||||
−0.653967 | − | 0.807582i | −0.0341368 | − | 0.0421554i | 0.759792 | − | 0.650167i | ||
−0.793928 | + | 0.608011i | ||||||||
−0.819049 | − | 0.219464i | −0.0426959 | − | 0.0114403i | |||||
0.103979 | − | 0.0462943i | 0.00541292 | − | 0.00240999i | |||||
0 | 0 | |||||||||
−22.3192 | − | 19.3695i | −1.15876 | − | 1.00561i | |||||
15.1732 | + | 2.40320i | 0.786695 | + | 0.124600i | |||||
18.4553 | − | 11.9850i | 0.955577 | − | 0.620559i | 0.0301748 | − | 0.999545i | ||
0.925403 | + | 0.378985i | ||||||||
−0.479720 | − | 0.830899i | −0.0248057 | − | 0.0429648i | |||||
0 | 0 | |||||||||
0.426675 | + | 0.246341i | 0.0220041 | + | 0.0127041i | |||||
12.3102 | + | 6.27237i | 0.634009 | + | 0.323044i | |||||
−9.06828 | + | 6.12754i | −0.466422 | + | 0.315167i | |||||
−17.8299 | − | 24.5408i | −0.915862 | − | 1.26058i | −0.965125 | − | 0.261790i | ||
0.0492625 | − | 0.998786i | ||||||||
0 | 0 | |||||||||
−20.6544 | − | 2.17087i | −1.05816 | − | 0.111217i | |||||
3.11380 | − | 11.6209i | 0.159316 | − | 0.594575i | |||||
19.9640 | + | 7.66347i | 1.02011 | + | 0.391585i | 0.810212 | − | 0.586137i | ||
0.209902 | + | 0.977722i | ||||||||
−3.23567 | + | 9.95838i | −0.165120 | + | 0.508186i | |||||
0 | 0 | |||||||||
−1.88327 | − | 5.79612i | −0.0958562 | − | 0.295015i | |||||
0.430196 | − | 8.20863i | 0.0218681 | − | 0.417268i | |||||
20.3655 | + | 13.2255i | 1.03390 | + | 0.671423i | |||||
15.6392 | + | 14.0816i | 0.792938 | + | 0.713964i | 0.962419 | − | 0.271569i | ||
−0.169481 | + | 0.985533i | ||||||||
0 | 0 | |||||||||
1.01295 | + | 0.329128i | 0.0512271 | + | 0.0166447i | |||||
−7.78066 | + | 16.7579i | −0.392982 | + | 0.846403i | |||||
13.3088 | − | 13.3088i | 0.671340 | − | 0.671340i | |||||
5.17168 | + | 11.6158i | 0.260545 | + | 0.585195i | |||||
0 | 0 | |||||||||
2.94311 | + | 1.31036i | 0.147897 | + | 0.0658479i | |||||
−3.98282 | − | 3.22523i | −0.199892 | − | 0.161869i | 0.524148 | − | 0.851627i | ||
−0.724040 | + | 0.689758i | ||||||||
−9.63744 | + | 18.9145i | −0.483081 | + | 0.948100i | |||||
−4.56645 | + | 14.9804i | −0.228608 | + | 0.749960i | |||||
0 | 0 | |||||||||
−17.1661 | + | 29.7326i | −0.857235 | + | 1.48477i | 0.0173216 | + | 0.999850i | ||
−0.874556 | + | 0.484924i | ||||||||
0.388093 | + | 7.40526i | 0.0193563 | + | 0.369341i | |||||
18.3854 | − | 7.05751i | 0.915844 | − | 0.351560i | |||||
0.517259 | + | 4.92139i | 0.0257346 | + | 0.244848i | |||||
0 | 0 | |||||||||
−14.0295 | + | 1.73437i | −0.696272 | + | 0.0860755i | |||||
−7.19393 | − | 7.19393i | −0.356590 | − | 0.356590i | |||||
0.987852 | − | 2.57344i | 0.0489060 | − | 0.127404i | |||||
25.6660 | − | 5.45549i | 1.26910 | − | 0.269756i | 0.476327 | − | 0.879268i | ||
0.792777 | + | 0.609512i | ||||||||
0 | 0 | |||||||||
0.771207 | − | 3.62824i | 0.0380408 | − | 0.178968i | |||||
−4.03345 | − | 7.91610i | −0.198714 | − | 0.389998i | |||||
8.21385 | + | 9.77247i | 0.404177 | + | 0.480872i | |||||
1.47203 | − | 0.478291i | 0.0723462 | − | 0.0235067i | |||||
0 | 0 | |||||||||
2.44630 | + | 11.5089i | 0.119940 | + | 0.564272i | |||||
7.53028 | − | 6.09790i | 0.368760 | − | 0.298616i | |||||
−5.25268 | + | 1.40745i | −0.256917 | + | 0.0688407i | |||||
−20.8379 | − | 15.1396i | −1.01800 | − | 0.739617i | −0.0521248 | − | 0.998641i | ||
−0.965871 | + | 0.259023i | ||||||||
0 | 0 | |||||||||
−9.53283 | + | 6.92601i | −0.464602 | + | 0.337553i | −0.795334 | − | 0.606172i | ||
0.330732 | + | 0.943725i | ||||||||
−7.18251 | + | 8.86966i | −0.349639 | + | 0.431768i | |||||
0.324066 | − | 0.0169836i | 0.0157566 | − | 0.000825770i | |||||
25.5318 | − | 14.7408i | 1.23994 | − | 0.715877i | |||||
0 | 0 | |||||||||
− | 9.41470i | − | 0.456144i | |||||||
−11.6306 | + | 3.34542i | −0.562843 | + | 0.161896i | |||||
2.15233 | − | 13.5893i | 0.104037 | − | 0.656864i | |||||
−2.98036 | + | 0.313248i | −0.143893 | + | 0.0151238i | |||||
0 | 0 | |||||||||
1.62917 | − | 15.5005i | 0.0784745 | − | 0.746635i | −0.882559 | − | 0.470202i | ||
0.961033 | − | 0.276433i | ||||||||
1.01970 | + | 3.80556i | 0.0490602 | + | 0.183095i | |||||
0.121416 | + | 0.766591i | 0.00583489 | + | 0.0368400i | 0.990434 | − | 0.137987i | ||
−0.984599 | + | 0.174827i | ||||||||
−11.5439 | + | 16.5154i | −0.554123 | + | 0.792763i | |||||
0 | 0 | |||||||||
−14.7881 | − | 3.14331i | −0.708223 | − | 0.150537i | |||||
3.28784 | − | 5.06282i | 0.157279 | − | 0.242188i | |||||
−0.782996 | + | 1.20571i | −0.0374130 | + | 0.0576110i | |||||
10.3322 | + | 2.19617i | 0.493128 | + | 0.104818i | 0.447762 | − | 0.894153i | ||
0.0453661 | + | 0.998970i | ||||||||
0 | 0 | |||||||||
1.71358 | + | 12.0482i | 0.0815991 | + | 0.573726i | |||||
−0.227225 | − | 1.43464i | −0.0108080 | − | 0.0682391i | |||||
7.03490 | + | 26.2546i | 0.334238 | + | 1.24739i | 0.904693 | + | 0.426064i | ||
−0.570455 | + | 0.821329i | ||||||||
1.25591 | − | 11.9492i | 0.0596028 | − | 0.567083i | |||||
0 | 0 | |||||||||
16.7126 | − | 1.75656i | 0.791364 | − | 0.0831757i | |||||
0.00694557 | − | 0.0438526i | 0.000328514 | − | 0.00207416i | |||||
−5.84684 | − | 5.63690i | −0.276237 | − | 0.266318i | |||||
− | 39.0168i | − | 1.84131i | −0.390372 | − | 0.920657i | ||||
0.390372 | − | 0.920657i | ||||||||
0 | 0 | |||||||||
−0.0752701 | + | 0.0434572i | −0.00354433 | + | 0.00204632i | |||||
9.21499 | − | 0.482937i | 0.433437 | − | 0.0227154i | |||||
6.92257 | − | 8.54866i | 0.325251 | − | 0.401651i | |||||
5.91145 | − | 4.29492i | 0.277438 | − | 0.201571i | |||||
0 | 0 | |||||||||
−12.6398 | − | 9.18334i | −0.591912 | − | 0.430049i | |||||
−22.2310 | + | 5.95677i | −1.03992 | + | 0.278646i | −0.738080 | − | 0.674713i | ||
−0.301840 | + | 0.953359i | ||||||||
1.88031 | − | 1.52265i | 0.0878613 | − | 0.0711487i | |||||
−1.02889 | − | 4.84056i | −0.0480246 | − | 0.225938i | |||||
0 | 0 | |||||||||
23.0880 | − | 7.50175i | 1.07532 | − | 0.349391i | 0.282760 | − | 0.959191i | ||
0.792556 | + | 0.609799i | ||||||||
2.34724 | − | 1.97287i | 0.109203 | − | 0.0917863i | |||||
−2.79874 | − | 5.49284i | −0.130069 | − | 0.255274i | 0.816783 | − | 0.576945i | ||
−0.946851 | + | 0.321671i | ||||||||
−1.05803 | + | 4.97762i | −0.0491176 | + | 0.231080i | |||||
0 | 0 | |||||||||
−22.1665 | + | 4.71162i | −1.02684 | + | 0.218262i | |||||
10.5121 | − | 27.3851i | 0.486444 | − | 1.26723i | −0.442420 | − | 0.896808i | ||
0.928864 | − | 0.370422i | ||||||||
3.44880 | + | 3.44880i | 0.159421 | + | 0.159421i | |||||
20.6947 | + | 8.76422i | 0.955594 | + | 0.404694i | |||||
0 | 0 | |||||||||
−1.54546 | − | 14.7041i | −0.0712109 | − | 0.677527i | |||||
−11.8896 | + | 4.56399i | −0.547263 | + | 0.210075i | |||||
0.328506 | + | 6.26828i | 0.0151047 | + | 0.288216i | |||||
4.55512 | − | 7.88970i | 0.209224 | − | 0.362386i | |||||
0 | 0 | |||||||||
−2.34409 | − | 2.50956i | −0.107441 | − | 0.115026i | |||||
8.81577 | − | 17.3019i | 0.403646 | − | 0.792200i | |||||
1.94131 | + | 1.57204i | 0.0887934 | + | 0.0719035i | |||||
8.30871 | + | 3.69927i | 0.379635 | + | 0.169024i | 0.587677 | − | 0.809096i | ||
−0.208043 | + | 0.978120i | ||||||||
0 | 0 | |||||||||
−6.26471 | − | 14.0708i | −0.285646 | − | 0.641572i | |||||
−14.7394 | + | 14.7394i | −0.671360 | + | 0.671360i | |||||
−0.470937 | + | 3.37110i | −0.0214284 | + | 0.153390i | |||||
12.2635 | + | 3.98466i | 0.557433 | + | 0.181121i | |||||
0 | 0 | |||||||||
−8.72786 | − | 7.85860i | −0.395904 | − | 0.356473i | |||||
0.445473 | + | 0.289294i | 0.0201863 | + | 0.0131091i | 0.554693 | − | 0.832055i | ||
−0.534506 | + | 0.845164i | ||||||||
0.631868 | − | 12.0568i | 0.0286033 | − | 0.545784i | |||||
−1.21199 | − | 3.73011i | −0.0548080 | − | 0.168682i | |||||
0 | 0 | |||||||||
1.98288 | − | 6.10267i | 0.0894861 | − | 0.275410i | −0.896291 | − | 0.443466i | ||
0.985777 | + | 0.168056i | ||||||||
−0.0958265 | − | 0.0367843i | −0.00432019 | − | 0.00165837i | |||||
1.65436 | − | 6.17415i | 0.0745086 | − | 0.278070i | |||||
−8.18762 | − | 0.860554i | −0.368379 | − | 0.0387181i | |||||
0 | 0 | |||||||||
4.26357 | + | 5.86830i | 0.191440 | + | 0.263494i | |||||
−25.6559 | − | 12.4870i | −1.15082 | − | 0.560118i | |||||
−4.86582 | − | 2.47926i | −0.218043 | − | 0.111098i | |||||
−5.43364 | − | 3.13711i | −0.243243 | − | 0.140437i | 0.373423 | − | 0.927661i | ||
−0.616666 | + | 0.787225i | ||||||||
0 | 0 | |||||||||
10.7562 | + | 18.6303i | 0.480553 | + | 0.832343i | |||||
8.96567 | − | 5.82237i | 0.400157 | − | 0.259865i | |||||
−4.92568 | − | 0.780151i | −0.219625 | − | 0.0347852i | 0.0456521 | − | 0.998957i | ||
−0.265277 | + | 0.964172i | ||||||||
−11.9193 | − | 2.30666i | −0.530929 | − | 0.102747i | |||||
0 | 0 | |||||||||
−1.07973 | + | 0.480729i | −0.0480001 | + | 0.0213710i | |||||
9.72131 | + | 2.60482i | 0.431739 | + | 0.115684i | |||||
−16.2434 | − | 20.0589i | −0.720684 | − | 0.889971i | |||||
−15.1400 | − | 16.8147i | −0.671070 | − | 0.745298i | 0.307425 | − | 0.951572i | ||
−0.978494 | + | 0.206274i | ||||||||
0 | 0 | |||||||||
2.24715 | + | 3.73290i | 0.0994082 | + | 0.165134i | |||||
−7.34327 | + | 3.74158i | −0.324530 | + | 0.165356i | |||||
−28.0101 | − | 1.46795i | −1.23668 | − | 0.0648115i | |||||
4.80611 | − | 5.33772i | 0.211988 | − | 0.235437i | |||||
0 | 0 | |||||||||
−5.50883 | + | 4.96017i | −0.242513 | + | 0.218359i | |||||
−0.244752 | + | 0.0387649i | −0.0107642 | + | 0.00170488i | |||||
13.3716 | + | 8.34013i | 0.587513 | + | 0.366444i | |||||
3.27343 | − | 4.50548i | 0.143687 | − | 0.197769i | |||||
0 | 0 | |||||||||
12.5522 | − | 28.1927i | 0.549921 | − | 1.23514i | −0.398219 | − | 0.917290i | ||
0.948140 | − | 0.317853i | ||||||||
−3.32882 | − | 8.67186i | −0.145698 | − | 0.379557i | |||||
16.6846 | + | 25.6920i | 0.729567 | + | 1.12343i | 0.987553 | + | 0.157286i | ||
−0.257987 | + | 0.966149i | ||||||||
23.3916 | 1.02187 | |||||||||
0 | 0 | |||||||||
6.52252 | 0.284395 | |||||||||
−4.96226 | − | 7.64121i | −0.216159 | − | 0.332856i | |||||
−0.395563 | − | 1.03048i | −0.0172147 | − | 0.0448457i | |||||
−8.82128 | + | 19.8129i | −0.383534 | + | 0.861432i | |||||
0 | 0 | |||||||||
−4.93056 | + | 6.78633i | −0.213968 | + | 0.294502i | |||||
−17.1778 | + | 9.15184i | −0.744754 | + | 0.396783i | |||||
−0.129963 | + | 0.0205840i | −0.00562930 | + | 0.000891594i | |||||
10.1820 | − | 9.16792i | 0.440619 | − | 0.396735i | |||||
0 | 0 | |||||||||
−15.0022 | + | 16.6617i | −0.647998 | + | 0.719675i | |||||
−22.7161 | − | 1.19050i | −0.980273 | − | 0.0513739i | |||||
3.04985 | − | 1.55398i | 0.131488 | − | 0.0669966i | |||||
−2.26305 | − | 9.01310i | −0.0974764 | − | 0.388222i | |||||
0 | 0 | |||||||||
26.4951 | + | 29.4258i | 1.13911 | + | 1.26511i | 0.959603 | + | 0.281356i | ||
0.179509 | + | 0.983756i | ||||||||
−1.67887 | − | 2.07323i | −0.0721135 | − | 0.0890528i | |||||
4.94065 | + | 1.32384i | 0.212023 | + | 0.0568115i | |||||
4.97289 | − | 2.21407i | 0.213211 | − | 0.0949276i | |||||
0 | 0 | |||||||||
4.38790 | − | 1.51493i | 0.187785 | − | 0.0648331i | |||||
−37.0235 | − | 5.86395i | −1.58301 | − | 0.250724i | −0.697932 | − | 0.716164i | ||
−0.885079 | + | 0.465440i | ||||||||
3.86625 | − | 2.51077i | 0.165158 | − | 0.107255i | |||||
−3.97611 | − | 6.88682i | −0.169696 | − | 0.293922i | |||||
0 | 0 | |||||||||
−31.3750 | − | 18.1143i | −1.33662 | − | 0.771697i | |||||
−3.02561 | − | 1.54162i | −0.128778 | − | 0.0656159i | |||||
−15.4586 | − | 22.8774i | −0.657365 | − | 0.972848i | |||||
3.51735 | + | 4.84122i | 0.149438 | + | 0.205684i | |||||
0 | 0 | |||||||||
11.9765 | + | 1.25878i | 0.507916 | + | 0.0533841i | |||||
1.55832 | − | 5.81572i | 0.0660280 | − | 0.246420i | −0.925021 | − | 0.379915i | ||
0.991050 | + | 0.133495i | ||||||||
−12.3609 | − | 4.74490i | −0.523278 | − | 0.200868i | |||||
−2.93652 | + | 9.03767i | −0.124201 | + | 0.382253i | |||||
0 | 0 | |||||||||
0.428435 | + | 1.31859i | 0.0180885 | + | 0.0556708i | |||||
−0.986964 | + | 18.8324i | −0.0416326 | + | 0.794397i | |||||
25.3462 | + | 16.4600i | 1.06822 | + | 0.693708i | 0.954018 | − | 0.299750i | ||
0.114199 | + | 0.993458i | ||||||||
−0.217481 | − | 0.195821i | −0.00915761 | − | 0.00824555i | |||||
0 | 0 | |||||||||
5.35873 | + | 1.74116i | 0.225244 | + | 0.0731863i | |||||
1.86894 | − | 0.756899i | 0.0784882 | − | 0.0317868i | |||||
20.1280 | − | 20.1280i | 0.844552 | − | 0.844552i | |||||
2.02703 | + | 4.55278i | 0.0849775 | + | 0.190863i | 0.951036 | − | 0.309080i | ||
−0.866059 | + | 0.499943i | ||||||||
0 | 0 | |||||||||
−2.23119 | − | 0.993391i | −0.0933725 | − | 0.0415721i | 0.359519 | − | 0.933138i | ||
−0.452891 | + | 0.891566i | ||||||||
−2.89443 | − | 2.34386i | −0.121022 | − | 0.0980018i | |||||
−7.89270 | + | 15.4903i | −0.329722 | + | 0.647117i | |||||
0.0983877 | − | 0.0919002i | 0.00410662 | − | 0.00383584i | |||||
0 | 0 | |||||||||
2.66831 | − | 4.62165i | 0.111180 | − | 0.192569i | |||||
1.27197 | + | 24.2706i | 0.0529527 | + | 1.01040i | 0.887891 | + | 0.460054i | ||
−0.834938 | + | 0.550343i | ||||||||
11.7082 | − | 4.49437i | 0.486998 | − | 0.186941i | |||||
0.920556 | + | 8.75851i | 0.0382570 | + | 0.363991i | |||||
0 | 0 | |||||||||
−13.2099 | + | 9.97149i | −0.548038 | + | 0.413687i | |||||
10.7384 | + | 10.7384i | 0.445123 | + | 0.445123i | |||||
−5.31398 | + | 13.8434i | −0.220083 | + | 0.573335i | |||||
−4.25172 | + | 0.903731i | −0.175937 | + | 0.0373966i | |||||
0 | 0 | |||||||||
5.03247 | − | 23.6759i | 0.207890 | − | 0.978044i | |||||
−4.09368 | − | 8.03430i | −0.168964 | − | 0.331611i | 0.790961 | − | 0.611866i | ||
−0.959926 | + | 0.280255i | ||||||||
6.59023 | − | 8.77567i | 0.271777 | − | 0.361903i | |||||
−49.1130 | + | 15.9578i | −2.02366 | + | 0.657528i | |||||
0 | 0 | |||||||||
−3.82016 | − | 17.9724i | −0.157140 | − | 0.739287i | |||||
4.40882 | − | 3.57019i | 0.181202 | − | 0.146734i | |||||
−24.7752 | + | 6.63849i | −1.01740 | + | 0.272610i | −0.728716 | − | 0.684816i | ||
−0.288679 | + | 0.957426i | ||||||||
4.44277 | + | 3.22786i | 0.182289 | + | 0.132441i | |||||
0 | 0 | |||||||||
0.0446416 | − | 0.0324340i | 0.00182859 | − | 0.00132855i | |||||
19.3051 | − | 23.8398i | 0.790104 | − | 0.975697i | |||||
−1.78689 | + | 0.0936469i | −0.0730714 | + | 0.00382951i | |||||
−23.1803 | + | 13.3832i | −0.947123 | + | 0.546822i | −0.892186 | − | 0.451668i | ||
−0.0549370 | + | 0.998490i | ||||||||
0 | 0 | |||||||||
3.83116i | 0.156276i | 0.996943 | + | 0.0781382i | ||||||
−0.996943 | + | 0.0781382i | ||||||||
−2.68775 | − | 9.34413i | −0.109544 | − | 0.380838i | |||||
−2.31015 | + | 14.5857i | −0.0940764 | + | 0.593975i | |||||
13.5961 | − | 1.42901i | 0.553219 | − | 0.0581457i | |||||
0 | 0 | |||||||||
−0.323490 | + | 3.07780i | −0.0131409 | + | 0.125027i | |||||
8.71399 | + | 32.5210i | 0.353690 | + | 1.31999i | 0.882125 | + | 0.471015i | ||
−0.528435 | + | 0.848974i | ||||||||
−4.82648 | − | 30.4732i | −0.195740 | − | 1.23585i | |||||
20.3514 | + | 1.76358i | 0.824682 | + | 0.0714637i | |||||
0 | 0 | |||||||||
−0.366959 | − | 0.0779995i | −0.0148456 | − | 0.00315552i | |||||
1.22897 | − | 1.89244i | 0.0496780 | − | 0.0764974i | |||||
−24.1890 | + | 37.2478i | −0.976985 | + | 1.50442i | −0.117622 | + | 0.993058i | ||
−0.859363 | + | 0.511366i | ||||||||
−2.51124 | − | 0.533781i | −0.101346 | − | 0.0215417i | |||||
0 | 0 | |||||||||
9.23610 | + | 0.800364i | 0.372133 | + | 0.0322476i | |||||
5.46815 | + | 34.5246i | 0.220140 | + | 1.38991i | 0.811902 | + | 0.583794i | ||
−0.591762 | + | 0.806112i | ||||||||
−1.43807 | − | 5.36695i | −0.0578476 | − | 0.215890i | |||||
1.39751 | − | 13.2964i | 0.0561706 | − | 0.534427i | −0.929866 | − | 0.367898i | ||
0.986037 | − | 0.166529i | ||||||||
0 | 0 | |||||||||
−6.06282 | + | 0.637228i | −0.243293 | + | 0.0255711i | |||||
0.751132 | − | 4.74246i | 0.0301176 | − | 0.190155i | |||||
−11.4787 | − | 39.9066i | −0.459885 | − | 1.59882i | |||||
− | 1.67106i | − | 0.0668960i | |||||||
0 | 0 | |||||||||
7.53917 | − | 4.35274i | 0.301326 | − | 0.173971i | |||||
7.84740 | − | 0.411265i | 0.313395 | − | 0.0164243i | |||||
11.5638 | − | 14.2801i | 0.461446 | − | 0.569838i | |||||
−5.76493 | + | 4.18846i | −0.229863 | + | 0.167005i | |||||
0 | 0 | |||||||||
11.1996 | + | 8.13699i | 0.445849 | + | 0.323928i | 0.787955 | − | 0.615733i | ||
−0.342106 | + | 0.939662i | ||||||||
26.6062 | − | 7.12911i | 1.05834 | − | 0.283581i | |||||
12.8171 | − | 10.3791i | 0.509436 | − | 0.412533i | |||||
1.45326 | + | 6.83703i | 0.0577162 | + | 0.271533i | |||||
0 | 0 | |||||||||
−16.6548 | + | 5.41147i | −0.660405 | + | 0.214579i | |||||
1.69147 | − | 13.9667i | 0.0670186 | − | 0.553382i | |||||
3.22021 | + | 6.32003i | 0.127489 | + | 0.250212i | |||||
3.89813 | − | 18.3393i | 0.154208 | − | 0.725490i | |||||
0 | 0 | |||||||||
2.29399 | − | 0.487602i | 0.0906070 | − | 0.0192591i | −0.162385 | − | 0.986727i | ||
0.252992 | + | 0.967468i | ||||||||
3.08361 | − | 8.03308i | 0.121700 | − | 0.317041i | |||||
−16.5284 | − | 16.5284i | −0.651816 | − | 0.651816i | 0.301614 | − | 0.953430i | ||
−0.953430 | + | 0.301614i | ||||||||
−3.37639 | + | 2.54867i | −0.133048 | + | 0.100432i | |||||
0 | 0 | |||||||||
0.398131 | + | 3.78797i | 0.0156643 | + | 0.149036i | |||||
10.9473 | − | 4.20226i | 0.430381 | − | 0.165208i | −0.133527 | − | 0.991045i | ||
0.563909 | + | 0.825837i | ||||||||
0.105278 | + | 2.00883i | 0.00413572 | + | 0.0789143i | |||||
3.20276 | − | 5.54735i | 0.125719 | − | 0.217752i | |||||
0 | 0 | |||||||||
21.2789 | − | 19.8758i | 0.833986 | − | 0.778994i | |||||
2.21293 | − | 4.34313i | 0.0866652 | − | 0.170090i | |||||
−16.1758 | − | 13.0989i | −0.633008 | − | 0.512600i | 0.258261 | − | 0.966075i | ||
−0.891269 | + | 0.453475i | ||||||||
−8.63758 | − | 3.84570i | −0.337756 | − | 0.150379i | |||||
0 | 0 | |||||||||
−0.0197126 | − | 0.0442752i | −0.000769648 | − | 0.00172866i | |||||
−2.02445 | + | 2.02445i | −0.0789813 | + | 0.0789813i | |||||
0.355782 | − | 0.144087i | 0.0138698 | − | 0.00561711i | |||||
30.5370 | + | 9.92209i | 1.18955 | + | 0.386510i | 0.835908 | − | 0.548870i | ||
0.353646 | + | 0.935379i | ||||||||
0 | 0 | |||||||||
−7.51696 | − | 6.76830i | −0.292376 | − | 0.263256i | 0.509868 | − | 0.860252i | ||
−0.802244 | + | 0.596996i | ||||||||
−4.71049 | − | 3.05903i | −0.183079 | − | 0.118893i | |||||
−0.109852 | + | 2.09611i | −0.00426631 | + | 0.0814060i | |||||
−5.10231 | − | 15.7033i | −0.198008 | − | 0.609406i | |||||
0 | 0 | |||||||||
−3.19997 | + | 9.84849i | −0.123996 | + | 0.381621i | |||||
−7.35113 | − | 2.82183i | −0.284637 | − | 0.109262i | |||||
−6.91979 | + | 25.8250i | −0.267735 | + | 0.999199i | |||||
−24.1506 | − | 2.53833i | −0.933716 | − | 0.0981375i | |||||
0 | 0 | |||||||||
3.56931 | + | 4.91273i | 0.137792 | + | 0.189654i | |||||
9.73998 | + | 14.4144i | 0.375728 | + | 0.556048i | |||||
−10.0639 | − | 5.12781i | −0.387935 | − | 0.197663i | 0.249135 | − | 0.968469i | ||
−0.637070 | + | 0.770806i | ||||||||
−6.82894 | − | 3.94269i | −0.263041 | − | 0.151867i | |||||
0 | 0 | |||||||||
6.25399 | + | 10.8322i | 0.240538 | + | 0.416624i | |||||
−20.5086 | + | 13.3184i | −0.788208 | + | 0.511868i | −0.874863 | − | 0.484370i | ||
0.0866551 | + | 0.996238i | ||||||||
5.69985 | + | 0.902768i | 0.218901 | + | 0.0346706i | |||||
43.5059 | − | 15.0205i | 1.66960 | − | 0.576435i | |||||
0 | 0 | |||||||||
−9.64609 | + | 4.29471i | −0.369639 | + | 0.164574i | |||||
9.76605 | + | 2.61681i | 0.373961 | + | 0.100203i | |||||
10.3756 | + | 12.8128i | 0.397012 | + | 0.490269i | 0.935978 | − | 0.352058i | ||
−0.538966 | + | 0.842328i | ||||||||
−8.55778 | − | 9.50438i | −0.327215 | − | 0.363409i | |||||
0 | 0 | |||||||||
6.56689 | + | 12.8096i | 0.250725 | + | 0.489074i | |||||
−3.11525 | + | 1.58730i | −0.118854 | + | 0.0605593i | |||||
−3.49532 | − | 0.183182i | −0.133258 | − | 0.00698375i | |||||
−15.0213 | + | 16.6829i | −0.572267 | + | 0.635567i | |||||
0 | 0 | |||||||||
−20.8963 | + | 18.8151i | −0.794932 | + | 0.715760i | −0.962849 | − | 0.270041i | ||
0.167917 | + | 0.985801i | ||||||||
6.83613 | − | 1.08274i | 0.259870 | − | 0.0411594i | |||||
5.38914 | − | 2.87117i | 0.204716 | − | 0.109067i | |||||
−3.66214 | + | 5.04050i | −0.139013 | + | 0.191335i | |||||
0 | 0 | |||||||||
−8.28889 | + | 18.6172i | −0.314190 | + | 0.705681i | |||||
0.0218160 | + | 0.0568327i | 0.000826341 | + | 0.00215269i | |||||
−3.73395 | − | 5.74978i | −0.141332 | − | 0.217632i | |||||
32.7474 | 1.23862 | |||||||||
0 | 0 | |||||||||
−35.1051 | −1.32590 | −0.662951 | − | 0.748663i | ||||||
−0.662951 | + | 0.748663i | ||||||||
4.52805 | + | 6.97258i | 0.170900 | + | 0.263163i | |||||
14.4739 | + | 37.7057i | 0.545892 | + | 1.42210i | |||||
−1.65751 | + | 3.72283i | −0.0624698 | + | 0.140310i | |||||
0 | 0 | |||||||||
7.69154 | − | 10.5865i | 0.289475 | − | 0.398428i | |||||
7.95823 | + | 4.96372i | 0.299300 | + | 0.186680i | |||||
7.47165 | − | 1.18339i | 0.280802 | − | 0.0444746i | |||||
−39.0403 | + | 35.1521i | −1.46619 | + | 1.32016i | −0.623423 | + | 0.781885i | ||
−0.842767 | + | 0.538278i | ||||||||
0 | 0 | |||||||||
12.1398 | − | 13.4826i | 0.455278 | − | 0.505638i | |||||
41.3689 | + | 2.16805i | 1.55036 | + | 0.0812511i | |||||
−10.0005 | + | 5.09550i | −0.374521 | + | 0.190828i | |||||
−1.10763 | − | 1.83996i | −0.0414520 | − | 0.0688588i | |||||
0 | 0 | |||||||||
−18.9168 | − | 21.0092i | −0.706953 | − | 0.785151i | |||||
−2.27169 | − | 2.80530i | −0.0848377 | − | 0.104766i | |||||
−10.3777 | − | 2.78070i | −0.387293 | − | 0.103775i | |||||
−2.53041 | + | 1.12661i | −0.0943685 | + | 0.0420156i | −0.453378 | − | 0.891318i | ||
0.359009 | + | 0.933334i | ||||||||
0 | 0 | |||||||||
−16.5328 | − | 3.19947i | −0.615712 | − | 0.119154i | |||||
6.73625 | + | 1.06692i | 0.250697 | + | 0.0397066i | |||||
25.2621 | − | 16.4054i | 0.939508 | − | 0.610124i | |||||
3.17846 | + | 5.50525i | 0.118126 | + | 0.204601i | |||||
0 | 0 | |||||||||
6.98382 | + | 4.03211i | 0.259194 | + | 0.149646i | |||||
5.31536 | + | 2.70831i | 0.197136 | + | 0.100446i | 0.549772 | − | 0.835315i | ||
−0.352636 | + | 0.935761i | ||||||||
12.6199 | + | 6.14222i | 0.467724 | + | 0.227646i | |||||
11.3195 | + | 15.5799i | 0.419239 | + | 0.577033i | |||||
0 | 0 | |||||||||
4.37233 | + | 0.459550i | 0.161716 | + | 0.0169971i | |||||
−1.85611 | + | 6.92710i | −0.0686038 | + | 0.256033i | |||||
−28.1255 | − | 10.7964i | −1.03884 | − | 0.398773i | −0.221641 | − | 0.975128i | ||
−0.817199 | + | 0.576355i | ||||||||
0.249589 | − | 0.768156i | 0.00921250 | − | 0.0283532i | |||||
0 | 0 | |||||||||
−2.07219 | − | 6.37755i | −0.0763820 | − | 0.235080i | |||||
0.590180 | − | 11.2613i | 0.0217396 | − | 0.414816i | |||||
0.0741934 | + | 0.0481817i | 0.00273110 | + | 0.00177359i | |||||
−33.5727 | − | 30.2290i | −1.23499 | − | 1.11199i | −0.989792 | − | 0.142517i | ||
−0.245198 | − | 0.969473i | ||||||||
0 | 0 | |||||||||
11.3145 | + | 3.67629i | 0.415648 | + | 0.135052i | |||||
3.17791 | − | 22.7484i | 0.116665 | − | 0.835119i | |||||
−23.4363 | + | 23.4363i | −0.859793 | + | 0.859793i | −0.991313 | − | 0.131520i | ||
0.131520 | + | 0.991313i | ||||||||
11.8150 | + | 26.5369i | 0.433159 | + | 0.972891i | |||||
0 | 0 | |||||||||
15.6249 | + | 6.95667i | 0.572070 | + | 0.254702i | |||||
−8.45180 | − | 6.84413i | −0.309235 | − | 0.250414i | |||||
−0.782267 | + | 1.53529i | −0.0286025 | + | 0.0561356i | |||||
−17.8010 | − | 19.0576i | −0.650434 | − | 0.696351i | |||||
0 | 0 | |||||||||
19.3994 | − | 33.6008i | 0.707894 | − | 1.22611i | −0.257742 | − | 0.966214i | ||
0.965637 | − | 0.259895i | ||||||||
−0.00723178 | − | 0.137991i | −0.000263716 | − | 0.00503200i | |||||
−14.4221 | + | 5.53611i | −0.525569 | + | 0.201747i | |||||
1.12248 | + | 10.6797i | 0.0408784 | + | 0.388932i | |||||
0 | 0 | |||||||||
18.0993 | + | 7.66505i | 0.658265 | + | 0.278775i | |||||
−2.63808 | − | 2.63808i | −0.0958825 | − | 0.0958825i | 0.657538 | − | 0.753421i | ||
−0.753421 | + | 0.657538i | ||||||||
8.44928 | − | 22.0111i | 0.306892 | − | 0.799480i | |||||
1.67061 | − | 0.355100i | 0.0606394 | − | 0.0128893i | |||||
0 | 0 | |||||||||
−8.25480 | + | 38.8358i | −0.299236 | + | 1.40780i | 0.529573 | + | 0.848265i | ||
−0.828809 | + | 0.559532i | ||||||||
−7.32833 | − | 14.3827i | −0.265477 | − | 0.521029i | |||||
−21.9362 | + | 18.4375i | −0.794142 | + | 0.667483i | |||||
−20.5490 | + | 6.67679i | −0.743438 | + | 0.241558i | |||||
0 | 0 | |||||||||
3.45569 | + | 16.2577i | 0.124859 | + | 0.587416i | |||||
7.53640 | − | 6.10285i | 0.272124 | − | 0.220361i | |||||
−14.5217 | + | 3.89107i | −0.524006 | + | 0.140407i | |||||
0.563611 | + | 0.409487i | 0.0203243 | + | 0.0147665i | 0.597901 | − | 0.801570i | ||
−0.577577 | + | 0.816336i | ||||||||
0 | 0 | |||||||||
−8.39701 | + | 6.10079i | −0.302411 | + | 0.219714i | |||||
−6.88801 | + | 8.50598i | −0.247905 | + | 0.306137i | |||||
−32.7224 | + | 1.71491i | −1.17694 | + | 0.0616809i | −0.630755 | − | 0.775982i | ||
−0.546187 | + | 0.837663i | ||||||||
5.53295 | − | 3.19445i | 0.198878 | − | 0.114822i | |||||
0 | 0 | |||||||||
45.9162i | 1.64829i | |||||||||
−16.3947 | − | 15.8060i | −0.588156 | − | 0.567037i | |||||
−2.55878 | + | 16.1555i | −0.0917365 | + | 0.579202i | |||||
0.343147 | − | 0.0360662i | 0.0122945 | − | 0.00129221i | |||||
0 | 0 | |||||||||
−1.49654 | + | 14.2387i | −0.0535505 | + | 0.509499i | |||||
0.214258 | + | 0.799623i | 0.00766186 | + | 0.0285945i | |||||
5.72327 | + | 36.1353i | 0.204533 | + | 1.29137i | |||||
5.13027 | − | 0.729660i | 0.183224 | − | 0.0260593i | |||||
0 | 0 | |||||||||
14.3093 | + | 3.04153i | 0.510395 | + | 0.108488i | |||||
14.5264 | − | 22.3687i | 0.517810 | − | 0.797358i | −0.478945 | − | 0.877845i | ||
0.996756 | + | 0.0804867i | ||||||||
12.4371 | − | 19.1514i | 0.443052 | − | 0.682240i | |||||
−9.21943 | − | 1.95965i | −0.328221 | − | 0.0697654i | |||||
0 | 0 | |||||||||
10.0200 | − | 14.3352i | 0.356270 | − | 0.509702i | |||||
0.952952 | + | 6.01670i | 0.0338617 | + | 0.213794i | |||||
2.37940 | + | 8.88006i | 0.0844951 | + | 0.315340i | |||||
0.416373 | − | 3.96152i | 0.0147765 | − | 0.140589i | |||||
0 | 0 | |||||||||
37.9158 | − | 3.98511i | 1.34389 | − | 0.141248i | |||||
−2.59453 | + | 16.3812i | −0.0919030 | + | 0.580252i | 0.898165 | + | 0.439660i | ||
−0.990067 | + | 0.140593i | ||||||||
−11.6981 | + | 3.36485i | −0.414109 | + | 0.119114i | |||||
0.173565i | 0.00614027i | |||||||||
0 | 0 | |||||||||
23.6299 | − | 13.6427i | 0.834921 | − | 0.482042i | |||||
−26.6481 | + | 1.39657i | −0.940976 | + | 0.0493145i | |||||
1.37585 | − | 1.69903i | 0.0485527 | − | 0.0599576i | |||||
10.7742 | − | 7.82790i | 0.379976 | − | 0.276069i | |||||
0 | 0 | |||||||||
12.3834 | + | 8.99706i | 0.436186 | + | 0.316908i | |||||
−4.77777 | + | 1.28020i | −0.168186 | + | 0.0450652i | |||||
−7.27174 | + | 5.88854i | −0.255819 | + | 0.207158i | |||||
8.99442 | + | 42.3154i | 0.316227 | + | 1.48773i | 0.793280 | + | 0.608857i | ||
−0.477053 | + | 0.878874i | ||||||||
0 | 0 | |||||||||
−24.7816 | + | 8.05202i | −0.870198 | + | 0.282745i | −0.709881 | − | 0.704321i | ||
−0.160317 | + | 0.987066i | ||||||||
16.3351 | + | 19.4347i | 0.573248 | + | 0.682025i | |||||
1.75015 | + | 3.43487i | 0.0613805 | + | 0.120466i | |||||
1.64407 | − | 7.73473i | 0.0576245 | − | 0.271102i | |||||
0 | 0 | |||||||||
−0.756215 | + | 0.160738i | −0.0264728 | + | 0.00562697i | |||||
8.92991 | − | 23.2632i | 0.312418 | − | 0.813876i | |||||
14.4211 | + | 14.4211i | 0.504223 | + | 0.504223i | |||||
9.17462 | − | 1.13420i | 0.320587 | − | 0.0396321i | |||||
0 | 0 | |||||||||
−2.77911 | − | 26.4415i | −0.0969916 | − | 0.922814i | −0.929505 | − | 0.368809i | ||
0.832514 | − | 0.554005i | ||||||||
2.69155 | − | 1.03319i | 0.0938787 | − | 0.0360367i | |||||
−0.126889 | − | 2.42118i | −0.00442306 | − | 0.0843971i | 0.995526 | − | 0.0944878i | ||
−0.999949 | + | 0.0100907i | ||||||||
8.39968 | − | 14.5487i | 0.292617 | − | 0.506827i | |||||
0 | 0 | |||||||||
−2.89315 | + | 9.49111i | −0.100666 | + | 0.330238i | |||||
−2.88877 | + | 5.66953i | −0.100452 | + | 0.197149i | −0.935763 | − | 0.352629i | ||
0.835311 | + | 0.549778i | ||||||||
−2.16024 | − | 1.74933i | −0.0750736 | − | 0.0607934i | |||||
−16.1918 | − | 7.20907i | −0.562365 | − | 0.250381i | 0.105808 | − | 0.994387i | ||
−0.668174 | + | 0.744005i | ||||||||
0 | 0 | |||||||||
−3.51718 | − | 7.89971i | −0.122010 | − | 0.274038i | |||||
−4.36250 | + | 4.36250i | −0.151242 | + | 0.151242i | |||||
−6.48314 | + | 0.578000i | −0.224628 | + | 0.0200265i | |||||
7.16266 | + | 2.32729i | 0.248023 | + | 0.0805875i | |||||
0 | 0 | |||||||||
7.25773 | + | 6.53489i | 0.251014 | + | 0.226014i | |||||
43.7361 | + | 28.4026i | 1.51174 | + | 0.981736i | |||||
1.04774 | − | 19.9921i | 0.0361937 | − | 0.690617i | |||||
−7.84911 | − | 24.1571i | −0.270981 | − | 0.833995i | −0.990255 | − | 0.139268i | ||
0.719273 | − | 0.694727i | ||||||||
0 | 0 | |||||||||
−5.64130 | + | 17.3621i | −0.194528 | + | 0.598695i | |||||
−8.55018 | − | 3.28211i | −0.294659 | − | 0.113109i | |||||
7.05313 | − | 26.3226i | 0.242923 | − | 0.906600i | |||||
20.3849 | + | 2.14254i | 0.701678 | + | 0.0737493i | |||||
0 | 0 | |||||||||
0.148254 | + | 0.204054i | 0.00509708 | + | 0.00701553i | |||||
20.2507 | − | 13.6836i | 0.695823 | − | 0.470175i | |||||
−7.36733 | − | 3.75384i | −0.252995 | − | 0.128908i | |||||
−7.05132 | − | 4.07108i | −0.242001 | − | 0.139719i | |||||
0 | 0 | |||||||||
4.38910 | + | 7.60214i | 0.150456 | + | 0.260598i | |||||
−14.1804 | + | 9.20886i | −0.485812 | + | 0.315490i | |||||
19.9447 | + | 3.15894i | 0.682895 | + | 0.108160i | 0.488237 | − | 0.872711i | ||
0.194658 | + | 0.980871i | ||||||||
−7.10417 | − | 6.16527i | −0.243100 | − | 0.210971i | |||||
0 | 0 | |||||||||
23.7668 | − | 10.5816i | 0.812331 | − | 0.361673i | |||||
−3.59245 | − | 0.962594i | −0.122716 | − | 0.0328816i | 0.196938 | − | 0.980416i | ||
−0.319654 | + | 0.947534i | ||||||||
−1.46584 | − | 1.81016i | −0.0500428 | − | 0.0617977i | |||||
14.7837 | + | 16.4190i | 0.504413 | + | 0.560208i | 0.940542 | − | 0.339677i | ||
−0.436129 | + | 0.899884i | ||||||||
0 | 0 | |||||||||
−0.166680 | + | 0.100339i | −0.00568043 | + | 0.00341954i | |||||
10.7938 | − | 5.49970i | 0.367637 | − | 0.187320i | |||||
−39.3355 | − | 2.06149i | −1.33900 | − | 0.0701738i | −0.630666 | − | 0.776055i | ||
−0.708331 | + | 0.705881i | ||||||||
−20.8482 | + | 23.1542i | −0.709269 | + | 0.787723i | |||||
0 | 0 | |||||||||
−0.448308 | + | 0.403659i | −0.0152341 | + | 0.0137169i | |||||
−17.8996 | + | 2.83502i | −0.607903 | + | 0.0962823i | |||||
36.1669 | + | 1.23305i | 1.22758 | + | 0.0418525i | |||||
−8.14324 | + | 11.2082i | −0.276240 | + | 0.380212i | |||||
0 | 0 | |||||||||
6.94391 | − | 15.5963i | 0.235286 | − | 0.528460i | |||||
−10.2447 | − | 26.6884i | −0.346930 | − | 0.903785i | |||||
16.4716 | + | 25.3641i | 0.557480 | + | 0.858444i | |||||
4.69203 | 0.158710 | |||||||||
0 | 0 | |||||||||
2.58191 | 0.0872347 | |||||||||
12.2611 | + | 18.8804i | 0.414027 | + | 0.637546i | 0.982740 | − | 0.184990i | ||
−0.568713 | + | 0.822536i | ||||||||
2.94223 | + | 7.66476i | 0.0992953 | + | 0.258673i | |||||
−14.2266 | + | 31.9534i | −0.479851 | + | 1.07776i | |||||
0 | 0 | |||||||||
−1.48864 | + | 2.04893i | −0.0501535 | + | 0.0690304i | −0.833357 | − | 0.552735i | ||
0.783204 | + | 0.621765i | ||||||||
−7.12831 | + | 6.21726i | −0.240023 | + | 0.209346i | |||||
−41.9699 | + | 6.64738i | −1.41240 | + | 0.223702i | −0.815566 | − | 0.578664i | ||
−0.596833 | + | 0.802366i | ||||||||
−1.93860 | + | 1.74552i | −0.0652022 | + | 0.0587083i | |||||
0 | 0 | |||||||||
−14.1362 | + | 15.6998i | −0.474914 | + | 0.527445i | |||||
31.7581 | + | 1.66437i | 1.06633 | + | 0.0558841i | 0.577418 | − | 0.816448i | ||
0.488913 | + | 0.872333i | ||||||||
20.2426 | − | 10.3141i | 0.679298 | − | 0.346120i | |||||
−48.9138 | + | 0.894227i | −1.64052 | + | 0.0299914i | |||||
0 | 0 | |||||||||
−0.677001 | − | 0.751885i | −0.0226804 | − | 0.0251891i | |||||
−18.9929 | − | 23.4543i | −0.635930 | − | 0.785308i | |||||
0.950220 | + | 0.254611i | 0.0317979 | + | 0.00852022i | |||||
0.0315257 | − | 0.0140362i | 0.00105438 | − | 0.000469440i | |||||
0 | 0 | |||||||||
−4.68636 | + | 24.2161i | −0.156560 | + | 0.809002i | |||||
2.55386 | + | 0.404492i | 0.0852710 | + | 0.0135056i | |||||
25.4333 | − | 16.5165i | 0.848719 | − | 0.551164i | |||||
33.6791 | + | 58.3340i | 1.12326 | + | 1.94555i | |||||
0 | 0 | |||||||||
8.99448 | + | 5.19297i | 0.299650 | + | 0.173003i | |||||
−0.0601911 | − | 0.0306689i | −0.00200414 | − | 0.00102116i | |||||
0.991680 | + | 14.0152i | 0.0330010 | + | 0.466398i | |||||
10.2558 | + | 14.1160i | 0.341104 | + | 0.469490i | |||||
0 | 0 | |||||||||
8.50294 | + | 0.893695i | 0.282491 | + | 0.0296910i | |||||
−5.62950 | + | 21.0096i | −0.186924 | + | 0.697611i | 0.807286 | + | 0.590160i | ||
−0.994210 | + | 0.107451i | ||||||||
−12.2512 | − | 4.70280i | −0.406571 | − | 0.156068i | |||||
−1.90450 | + | 5.86143i | −0.0631681 | + | 0.194411i | |||||
0 | 0 | |||||||||
1.19819 | + | 3.68765i | 0.0396978 | + | 0.122177i | 0.968941 | − | 0.247290i | ||
−0.929244 | + | 0.369468i | ||||||||
−0.229330 | + | 4.37587i | −0.00759387 | + | 0.144900i | |||||
6.96491 | + | 4.52306i | 0.230505 | + | 0.149692i | |||||
−13.2937 | − | 11.9697i | −0.439718 | − | 0.395924i | |||||
0 | 0 | |||||||||
−4.13261 | − | 1.34277i | −0.136545 | − | 0.0443663i | |||||
27.2672 | − | 34.9600i | 0.900444 | − | 1.15448i | |||||
2.71979 | − | 2.71979i | 0.0897665 | − | 0.0897665i | |||||
3.22781 | + | 7.24979i | 0.106476 | + | 0.239148i | 0.958924 | − | 0.283663i | ||
−0.852448 | + | 0.522812i | ||||||||
0 | 0 | |||||||||
3.38921 | + | 1.50898i | 0.111678 | + | 0.0497224i | |||||
14.6637 | + | 11.8744i | 0.482922 | + | 0.391062i | |||||
−9.84030 | + | 19.3127i | −0.323897 | + | 0.635684i | |||||
−5.26745 | − | 1.60566i | −0.173286 | − | 0.0528224i | |||||
0 | 0 | |||||||||
2.39577 | − | 4.14960i | 0.0787299 | − | 0.136364i | |||||
−0.579102 | − | 11.0499i | −0.0190202 | − | 0.362927i | |||||
−37.5708 | + | 14.4221i | −1.23332 | + | 0.473428i | |||||
5.09312 | + | 48.4578i | 0.167100 | + | 1.58985i | 0.681187 | + | 0.732109i | ||
−0.514087 | + | 0.857738i | ||||||||
0 | 0 | |||||||||
−6.34605 | + | 36.3414i | −0.207983 | + | 1.19104i | |||||
28.7785 | + | 28.7785i | 0.942670 | + | 0.942670i | |||||
−2.48655 | + | 6.47768i | −0.0814060 | + | 0.212070i | |||||
22.3011 | − | 4.74024i | 0.729713 | − | 0.155105i | |||||
0 | 0 | |||||||||
−1.91745 | + | 9.02090i | −0.0626738 | + | 0.294857i | |||||
18.7668 | + | 36.8319i | 0.613085 | + | 1.20325i | 0.963765 | + | 0.266752i | ||
−0.350680 | + | 0.936495i | ||||||||
3.04749 | + | 17.2000i | 0.0995039 | + | 0.561601i | |||||
−11.9642 | + | 3.88740i | −0.390437 | + | 0.126861i | |||||
0 | 0 | |||||||||
−9.40997 | − | 44.2704i | −0.306756 | − | 1.44318i | −0.813745 | − | 0.581222i | ||
0.506989 | − | 0.861953i | ||||||||
8.93068 | − | 7.23192i | 0.290977 | − | 0.235629i | |||||
0.0724368 | − | 0.0194094i | 0.00235887 | − | 0.000632057i | |||||
2.88969 | + | 2.09948i | 0.0940513 | + | 0.0683323i | |||||
0 | 0 | |||||||||
−3.94694 | + | 2.86762i | −0.128326 | + | 0.0932344i | |||||
−5.03167 | + | 6.21359i | −0.163507 | + | 0.201915i | −0.852314 | − | 0.523030i | ||
0.688807 | + | 0.724945i | ||||||||
−16.3390 | + | 0.856289i | −0.530665 | + | 0.0278110i | |||||
2.86640 | − | 1.65492i | 0.0930472 | − | 0.0537208i | |||||
0 | 0 | |||||||||
− | 10.1006i | − | 0.327535i | |||||||
1.56567 | − | 6.30176i | 0.0507438 | − | 0.204241i | |||||
−0.239793 | + | 1.51399i | −0.00776765 | + | 0.0490430i | −0.991268 | − | 0.131865i | ||
0.983500 | + | 0.180908i | ||||||||
15.0102 | − | 1.57764i | 0.485974 | − | 0.0510779i | |||||
0 | 0 | |||||||||
0.468940 | − | 4.46167i | 0.0151666 | − | 0.144301i | |||||
−2.65289 | − | 9.90071i | −0.0857556 | − | 0.320044i | |||||
1.10585 | + | 6.98204i | 0.0357283 | + | 0.225580i | |||||
0.754348 | − | 8.70508i | 0.0243592 | − | 0.281102i | |||||
0 | 0 | |||||||||
63.5919 | + | 13.5169i | 2.05135 | + | 0.436028i | |||||
6.52013 | − | 10.0401i | 0.210217 | − | 0.323706i | |||||
9.33277 | − | 14.3712i | 0.300744 | − | 0.463106i | |||||
36.6175 | + | 7.78329i | 1.17937 | + | 0.250683i | |||||
0 | 0 | |||||||||
−2.39682 | + | 1.12007i | −0.0771165 | + | 0.0360376i | |||||
3.11543 | + | 19.6701i | 0.100186 | + | 0.632547i | 0.985774 | + | 0.168076i | ||
−0.885588 | + | 0.464471i | ||||||||
6.31056 | + | 23.5513i | 0.202829 | + | 0.756969i | |||||
0.575322 | − | 5.47382i | 0.0184820 | − | 0.175844i | |||||
0 | 0 | |||||||||
−29.5811 | + | 3.10909i | −0.949301 | + | 0.0997756i | −0.566506 | − | 0.824058i | ||
−0.382795 | + | 0.923833i | ||||||||
−3.29957 | + | 20.8327i | −0.105834 | + | 0.668208i | |||||
15.8421 | − | 16.4321i | 0.507875 | − | 0.526791i | |||||
0.412847i | 0.0132285i | |||||||||
0 | 0 | |||||||||
−2.93248 | + | 1.69307i | −0.0938663 | + | 0.0541938i | |||||
−32.0110 | + | 1.67762i | −1.02412 | + | 0.0536720i | −0.556993 | − | 0.830517i | ||
−0.467129 | + | 0.884189i | ||||||||
1.91843 | − | 2.36907i | 0.0613448 | − | 0.0757545i | |||||
−16.8565 | + | 12.2469i | −0.538735 | + | 0.391414i | |||||
0 | 0 | |||||||||
−15.2332 | − | 11.0676i | −0.486358 | − | 0.353360i | |||||
4.81745 | − | 1.29083i | 0.153731 | − | 0.0411921i | |||||
29.9691 | − | 24.2685i | 0.955866 | − | 0.774045i | −0.0183109 | − | 0.999832i | ||
0.974177 | + | 0.225788i | ||||||||
−0.0403529 | − | 0.189846i | −0.00128640 | − | 0.00605206i | |||||
0 | 0 | |||||||||
4.72497 | − | 1.53524i | 0.150474 | − | 0.0488919i | |||||
−0.546180 | + | 0.0967716i | −0.0173851 | + | 0.00308027i | |||||
6.71245 | + | 13.1739i | 0.213551 | + | 0.419118i | |||||
1.12602 | − | 5.29751i | 0.0358054 | − | 0.168451i | |||||
0 | 0 | |||||||||
−4.56112 | + | 0.969496i | −0.144889 | + | 0.0307971i | −0.279785 | − | 0.960063i | ||
0.134896 | + | 0.990860i | ||||||||
−20.5573 | + | 53.5535i | −0.652694 | + | 1.70033i | |||||
5.73911 | + | 5.73911i | 0.182125 | + | 0.182125i | |||||
−2.72094 | − | 22.0099i | −0.0863030 | − | 0.698112i | |||||
0 | 0 | |||||||||
1.02518 | + | 9.75395i | 0.0324841 | + | 0.309066i | |||||
15.2110 | − | 5.83897i | 0.481739 | − | 0.184922i | −0.105365 | − | 0.994434i | ||
0.587104 | + | 0.809511i | ||||||||
−0.255223 | − | 4.86995i | −0.00807894 | − | 0.154155i | |||||
20.3931 | − | 35.3220i | 0.645210 | − | 1.11754i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 875.2.bb.c.607.12 | 288 | ||
5.2 | odd | 4 | 875.2.bb.b.768.7 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.768.12 | 288 | |||
5.4 | even | 2 | 175.2.x.a.117.7 | yes | 288 | ||
7.3 | odd | 6 | inner | 875.2.bb.c.857.7 | 288 | ||
25.3 | odd | 20 | inner | 875.2.bb.c.243.7 | 288 | ||
25.4 | even | 10 | 875.2.bb.b.257.7 | 288 | |||
25.21 | even | 5 | 875.2.bb.a.257.12 | 288 | |||
25.22 | odd | 20 | 175.2.x.a.103.12 | yes | 288 | ||
35.3 | even | 12 | 875.2.bb.a.143.12 | 288 | |||
35.17 | even | 12 | 875.2.bb.b.143.7 | 288 | |||
35.24 | odd | 6 | 175.2.x.a.17.12 | yes | 288 | ||
175.3 | even | 60 | inner | 875.2.bb.c.493.12 | 288 | ||
175.122 | even | 60 | 175.2.x.a.3.7 | ✓ | 288 | ||
175.129 | odd | 30 | 875.2.bb.b.507.7 | 288 | |||
175.171 | odd | 30 | 875.2.bb.a.507.12 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.7 | ✓ | 288 | 175.122 | even | 60 | ||
175.2.x.a.17.12 | yes | 288 | 35.24 | odd | 6 | ||
175.2.x.a.103.12 | yes | 288 | 25.22 | odd | 20 | ||
175.2.x.a.117.7 | yes | 288 | 5.4 | even | 2 | ||
875.2.bb.a.143.12 | 288 | 35.3 | even | 12 | |||
875.2.bb.a.257.12 | 288 | 25.21 | even | 5 | |||
875.2.bb.a.507.12 | 288 | 175.171 | odd | 30 | |||
875.2.bb.a.768.12 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.143.7 | 288 | 35.17 | even | 12 | |||
875.2.bb.b.257.7 | 288 | 25.4 | even | 10 | |||
875.2.bb.b.507.7 | 288 | 175.129 | odd | 30 | |||
875.2.bb.b.768.7 | 288 | 5.2 | odd | 4 | |||
875.2.bb.c.243.7 | 288 | 25.3 | odd | 20 | inner | ||
875.2.bb.c.493.12 | 288 | 175.3 | even | 60 | inner | ||
875.2.bb.c.607.12 | 288 | 1.1 | even | 1 | trivial | ||
875.2.bb.c.857.7 | 288 | 7.3 | odd | 6 | inner |