Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(258,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.258");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 845.o (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: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 357.5 | ||
Character | 845.357 | ||
Dual form | 845.2.o.i.258.5 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.18621 | + | 2.05458i | −0.838777 | + | 1.45280i | 0.0521412 | + | 0.998640i | ||
−0.890918 | + | 0.454164i | ||||||||
0.604804 | + | 2.25716i | 0.349184 | + | 1.30317i | 0.887648 | + | 0.460522i | ||
−0.538465 | + | 0.842648i | ||||||||
−1.81419 | − | 3.14226i | −0.907093 | − | 1.57113i | |||||
−2.15457 | + | 0.598181i | −0.963554 | + | 0.267515i | |||||
−5.35492 | − | 1.43485i | −2.18614 | − | 0.585774i | |||||
−3.23750 | + | 1.86917i | −1.22366 | + | 0.706479i | −0.965696 | − | 0.259676i | ||
−0.257962 | + | 0.966155i | ||||||||
3.86318 | 1.36584 | |||||||||
−2.13090 | + | 1.23027i | −0.710299 | + | 0.410091i | |||||
1.32677 | − | 5.13630i | 0.419560 | − | 1.62424i | |||||
1.74477 | − | 0.467511i | 0.526069 | − | 0.140960i | 0.0139966 | − | 0.999902i | ||
0.512072 | + | 0.858942i | ||||||||
5.99536 | − | 5.99536i | 1.73071 | − | 1.73071i | |||||
0 | 0 | |||||||||
− | 8.86890i | − | 2.37031i | |||||||
−2.65328 | − | 4.50143i | −0.685074 | − | 1.16226i | |||||
−0.954169 | + | 1.65267i | −0.238542 | + | 0.413167i | |||||
−0.372153 | − | 0.0997182i | −0.0902604 | − | 0.0241852i | 0.213406 | − | 0.976964i | ||
−0.303667 | + | 0.952778i | ||||||||
− | 5.83745i | − | 1.37590i | |||||||
1.41754 | − | 5.29032i | 0.325205 | − | 1.21368i | −0.588901 | − | 0.808205i | ||
0.914106 | − | 0.405476i | ||||||||
5.78843 | + | 5.68502i | 1.29433 | + | 1.27121i | |||||
−6.17706 | − | 6.17706i | −1.34794 | − | 1.34794i | |||||
−1.10913 | + | 4.13933i | −0.236468 | + | 0.882509i | |||||
−8.92587 | + | 2.39168i | −1.86117 | + | 0.498699i | −0.999955 | − | 0.00953735i | ||
−0.861217 | + | 0.508237i | ||||||||
2.33647 | + | 8.71981i | 0.476929 | + | 1.77992i | |||||
4.28436 | − | 2.57765i | 0.856872 | − | 0.515529i | |||||
0 | 0 | |||||||||
0.891365 | + | 0.891365i | 0.171543 | + | 0.171543i | |||||
11.7468 | + | 6.78204i | 2.21994 | + | 1.28169i | |||||
−0.662140 | − | 0.382287i | −0.122956 | − | 0.0709889i | 0.437260 | − | 0.899335i | ||
−0.560217 | + | 0.828346i | ||||||||
12.3959 | − | 0.111731i | 2.26317 | − | 0.0203992i | |||||
−3.27268 | + | 3.27268i | −0.587792 | + | 0.587792i | −0.937033 | − | 0.349241i | ||
0.349241 | + | 0.937033i | ||||||||
1.59949 | + | 2.77040i | 0.282753 | + | 0.489742i | |||||
2.11049 | + | 3.65548i | 0.367389 | + | 0.636337i | |||||
0.646330 | − | 0.646330i | 0.110845 | − | 0.110845i | |||||
5.85732 | − | 5.96387i | 0.990067 | − | 1.00808i | |||||
7.73169 | + | 4.46389i | 1.28861 | + | 0.743982i | |||||
−1.00131 | − | 0.578108i | −0.164615 | − | 0.0950403i | 0.415429 | − | 0.909625i | ||
−0.580044 | + | 0.814585i | ||||||||
9.18786 | + | 9.18786i | 1.49047 | + | 1.49047i | |||||
0 | 0 | |||||||||
−8.32350 | + | 2.31088i | −1.31606 | + | 0.365382i | |||||
0.789472 | + | 2.94635i | 0.123295 | + | 0.460142i | 0.999773 | − | 0.0212988i | ||
−0.876478 | + | 0.481441i | ||||||||
20.0185 | − | 5.36394i | 3.08892 | − | 0.827675i | |||||
0.489998 | − | 1.82870i | 0.0747240 | − | 0.278874i | −0.918447 | − | 0.395545i | ||
0.993171 | + | 0.116671i | ||||||||
−4.63438 | − | 4.63438i | −0.698660 | − | 0.698660i | |||||
3.85525 | − | 3.92538i | 0.574706 | − | 0.585161i | |||||
5.67406 | − | 21.1759i | 0.836595 | − | 3.12222i | |||||
1.94248i | 0.283340i | 0.989914 | + | 0.141670i | ||||||
−0.989914 | + | 0.141670i | ||||||||
−4.30742 | − | 1.15417i | −0.621723 | − | 0.166590i | |||||
3.48758 | − | 6.04067i | 0.498226 | − | 0.862953i | |||||
0.213823 | + | 11.8602i | 0.0302391 | + | 1.67728i | |||||
− | 0.900318i | − | 0.126070i | |||||||
0 | 0 | |||||||||
−1.18715 | + | 1.18715i | −0.163068 | + | 0.163068i | −0.783924 | − | 0.620856i | ||
0.620856 | + | 0.783924i | ||||||||
−2.88872 | + | 0.774031i | −0.393105 | + | 0.105332i | |||||
−3.47958 | + | 2.05098i | −0.469187 | + | 0.276553i | |||||
−12.5070 | + | 7.22094i | −1.67132 | + | 0.964938i | |||||
12.7984 | 1.69519 | |||||||||
1.57087 | − | 0.906945i | 0.206266 | − | 0.119088i | |||||
−6.15548 | − | 1.64935i | −0.801375 | − | 0.214728i | −0.165187 | − | 0.986262i | ||
−0.636187 | + | 0.771535i | ||||||||
−9.33112 | + | 16.5037i | −1.20464 | + | 2.13062i | |||||
1.85832 | + | 3.21870i | 0.237933 | + | 0.412113i | 0.960121 | − | 0.279584i | ||
−0.722188 | + | 0.691697i | ||||||||
−2.84189 | − | 10.6061i | −0.360920 | − | 1.34697i | |||||
4.59918 | − | 7.96601i | 0.579442 | − | 1.00362i | |||||
−11.4060 | −1.42575 | |||||||||
0 | 0 | |||||||||
−10.0139 | −1.23263 | |||||||||
5.52807 | − | 9.57490i | 0.675361 | − | 1.16976i | −0.301002 | − | 0.953623i | ||
0.976363 | − | 0.216136i | ||||||||
0.361815 | + | 1.35031i | 0.0438765 | + | 0.163749i | |||||
−10.7968 | − | 18.7006i | −1.29978 | − | 2.25129i | |||||
5.30521 | + | 19.1087i | 0.634094 | + | 2.28393i | |||||
10.7163 | + | 2.87143i | 1.27179 | + | 0.340776i | 0.830717 | − | 0.556695i | ||
0.441075 | + | 0.897470i | ||||||||
−8.23204 | + | 4.75277i | −0.970155 | + | 0.560119i | |||||
−4.49691 | −0.526323 | −0.263161 | − | 0.964752i | ||||||
−0.263161 | + | 0.964752i | ||||||||
2.37553 | − | 1.37151i | 0.276150 | − | 0.159435i | |||||
8.40935 | + | 8.11150i | 0.971028 | + | 0.936636i | |||||
−19.1952 | + | 5.14335i | −2.20184 | + | 0.589982i | |||||
−4.77484 | + | 4.77484i | −0.544144 | + | 0.544144i | |||||
0 | 0 | |||||||||
− | 7.15052i | − | 0.804496i | −0.915531 | − | 0.402248i | ||||
0.915531 | − | 0.402248i | ||||||||
1.06723 | − | 4.13156i | 0.119320 | − | 0.461923i | |||||
−5.16367 | + | 8.94374i | −0.573741 | + | 0.993749i | |||||
−6.98997 | − | 1.87296i | −0.771914 | − | 0.206834i | |||||
− | 11.4388i | − | 1.25557i | −0.778388 | − | 0.627783i | ||||
0.778388 | − | 0.627783i | ||||||||
−8.20360 | + | 30.6163i | −0.895087 | + | 3.34051i | |||||
0.861480 | − | 0.00776503i | 0.0934407 | − | 0.000842235i | |||||
3.17596 | + | 3.17596i | 0.342472 | + | 0.342472i | |||||
0.462417 | − | 1.72576i | 0.0495763 | − | 0.185021i | |||||
6.74037 | − | 1.80608i | 0.718526 | − | 0.192529i | |||||
0.599649 | + | 2.23792i | 0.0635626 | + | 0.237219i | 0.990397 | − | 0.138251i | ||
−0.926835 | + | 0.375470i | ||||||||
3.49185 | + | 12.5772i | 0.368074 | + | 1.32575i | |||||
0 | 0 | |||||||||
23.7085 | + | 23.7085i | 2.47178 | + | 2.47178i | |||||
−9.36630 | − | 5.40763i | −0.971240 | − | 0.560746i | |||||
−3.99098 | − | 2.30419i | −0.411638 | − | 0.237659i | |||||
0.110383 | + | 12.2463i | 0.0113251 | + | 1.25644i | |||||
−5.28585 | + | 5.28585i | −0.539485 | + | 0.539485i | |||||
−0.441485 | − | 0.764675i | −0.0448260 | − | 0.0776409i | 0.842742 | − | 0.538318i | ||
−0.887568 | + | 0.460677i | ||||||||
8.27401 | + | 14.3310i | 0.835801 | + | 1.44765i | |||||
−3.14277 | + | 3.14277i | −0.315860 | + | 0.315860i | |||||
−15.8723 | − | 8.78625i | −1.58723 | − | 0.878625i | |||||
6.87788 | + | 3.97094i | 0.684374 | + | 0.395124i | 0.801501 | − | 0.597993i | ||
−0.117127 | + | 0.993117i | ||||||||
1.84977 | + | 1.06797i | 0.183155 | + | 0.105744i | |||||
−10.7428 | − | 10.7428i | −1.05852 | − | 1.05852i | −0.998178 | − | 0.0603388i | ||
−0.0603388 | − | 0.998178i | ||||||||
0 | 0 | |||||||||
17.0039 | + | 9.61392i | 1.65941 | + | 0.938222i | |||||
−1.03088 | − | 3.84731i | −0.100128 | − | 0.373684i | |||||
−10.0926 | + | 2.70430i | −0.975686 | + | 0.261434i | −0.711227 | − | 0.702963i | ||
−0.264459 | + | 0.964397i | ||||||||
1.18380 | − | 4.41800i | 0.113911 | − | 0.425123i | |||||
−4.13475 | − | 4.13475i | −0.396037 | − | 0.396037i | 0.480796 | − | 0.876833i | ||
−0.876833 | + | 0.480796i | ||||||||
−0.0863677 | − | 9.58195i | −0.00823484 | − | 0.913603i | |||||
0.699283 | − | 2.60976i | 0.0663730 | − | 0.247707i | |||||
− | 7.13401i | − | 0.674101i | |||||||
14.1646 | + | 3.79539i | 1.33249 | + | 0.357040i | 0.853644 | − | 0.520857i | ||
0.478849 | + | 0.877897i | ||||||||
−15.1816 | + | 26.2953i | −1.42189 | + | 2.46278i | |||||
17.8008 | − | 10.4923i | 1.65993 | − | 0.978414i | |||||
2.77416i | 0.257574i | |||||||||
0 | 0 | |||||||||
10.6904 | − | 10.6904i | 0.984132 | − | 0.984132i | |||||
1.39123 | − | 0.372780i | 0.127534 | − | 0.0341727i | |||||
−10.2501 | − | 17.3898i | −0.935702 | − | 1.58747i | |||||
−6.70061 | + | 3.86860i | −0.609146 | + | 0.351691i | |||||
−8.81743 | −0.798292 | |||||||||
−6.17290 | + | 3.56393i | −0.556592 | + | 0.321348i | |||||
16.2209 | + | 4.34637i | 1.45668 | + | 0.390316i | |||||
−7.68906 | + | 8.11655i | −0.687730 | + | 0.725966i | |||||
10.9112 | + | 18.8987i | 0.972046 | + | 1.68363i | |||||
−1.82032 | − | 6.79351i | −0.161527 | − | 0.602827i | −0.998458 | − | 0.0555178i | ||
0.836931 | − | 0.547309i | ||||||||
10.3309 | − | 17.8937i | 0.913134 | − | 1.58159i | |||||
4.42401 | 0.389513 | |||||||||
0 | 0 | |||||||||
−9.34748 | −0.816693 | −0.408347 | − | 0.912827i | ||||||
−0.408347 | + | 0.912827i | ||||||||
7.65764 | − | 13.2634i | 0.666512 | − | 1.15443i | |||||
5.29923 | + | 19.7770i | 0.459501 | + | 1.71488i | |||||
13.1149 | + | 22.7157i | 1.13295 | + | 1.96233i | |||||
−2.45371 | − | 1.38731i | −0.211181 | − | 0.119401i | |||||
−1.43770 | − | 0.385229i | −0.123281 | − | 0.0330331i | |||||
11.8630 | − | 6.84910i | 1.01352 | − | 0.585158i | 0.101303 | − | 0.994856i | ||
0.912222 | + | 0.409697i | ||||||||
51.2290 | 4.36090 | |||||||||
−7.78210 | + | 4.49300i | −0.660069 | + | 0.381091i | −0.792303 | − | 0.610127i | ||
0.132234 | + | 0.991219i | ||||||||
−29.3663 | − | 7.58566i | −2.48190 | − | 0.641105i | |||||
−4.38449 | + | 1.17482i | −0.369241 | + | 0.0989377i | |||||
−18.6113 | + | 18.6113i | −1.56183 | + | 1.56183i | |||||
0 | 0 | |||||||||
− | 4.69556i | − | 0.391297i | |||||||
1.65531 | + | 0.427585i | 0.137466 | + | 0.0355090i | |||||
5.33427 | − | 9.23923i | 0.441467 | − | 0.764644i | |||||
15.7441 | + | 4.21861i | 1.29855 | + | 0.347945i | |||||
4.19518i | 0.344842i | |||||||||
3.28972 | − | 12.2774i | 0.269505 | − | 1.00581i | −0.689930 | − | 0.723876i | ||
0.959435 | − | 0.281930i | ||||||||
−26.6409 | + | 7.65570i | −2.17522 | + | 0.625086i | |||||
−2.96123 | − | 2.96123i | −0.240981 | − | 0.240981i | 0.576275 | − | 0.817256i | ||
−0.817256 | + | 0.576275i | ||||||||
5.47620 | − | 20.4374i | 0.444178 | − | 1.65770i | |||||
0.915701 | − | 0.245361i | 0.0740300 | − | 0.0198363i | |||||
−4.14631 | − | 15.4742i | −0.334119 | − | 1.24695i | |||||
5.09358 | − | 9.00889i | 0.409126 | − | 0.723612i | |||||
0 | 0 | |||||||||
−13.0366 | − | 13.0366i | −1.04044 | − | 1.04044i | −0.999147 | − | 0.0412907i | ||
−0.0412907 | − | 0.999147i | ||||||||
14.6913 | + | 8.48201i | 1.16878 | + | 0.674793i | |||||
−3.39759 | − | 1.96160i | −0.269446 | − | 0.155565i | |||||
−5.10342 | − | 5.01224i | −0.403461 | − | 0.396252i | |||||
24.4270 | − | 24.4270i | 1.92512 | − | 1.92512i | |||||
−12.2504 | − | 21.2183i | −0.962482 | − | 1.66707i | |||||
−7.92191 | − | 13.7211i | −0.620492 | − | 1.07472i | −0.989394 | − | 0.145255i | ||
0.368903 | − | 0.929468i | ||||||||
7.82595 | − | 7.82595i | 0.611104 | − | 0.611104i | |||||
−6.73384 | − | 6.61353i | −0.524229 | − | 0.514863i | |||||
23.5018 | + | 13.5688i | 1.82409 | + | 1.05314i | |||||
−10.8109 | − | 6.24168i | −0.836573 | − | 0.482996i | 0.0195249 | − | 0.999809i | ||
−0.856098 | + | 0.516814i | ||||||||
−23.8631 | − | 23.8631i | −1.84108 | − | 1.84108i | |||||
0 | 0 | |||||||||
−1.00594 | + | 1.77919i | −0.0771523 | + | 0.136457i | |||||
3.48792 | + | 13.0171i | 0.266728 | + | 0.995441i | |||||
−6.63520 | + | 1.77790i | −0.505929 | + | 0.135563i | |||||
4.18301 | − | 15.6112i | 0.318029 | − | 1.18690i | −0.603108 | − | 0.797660i | ||
0.921137 | − | 0.389239i | ||||||||
2.99719 | + | 2.99719i | 0.227216 | + | 0.227216i | |||||
−9.05254 | + | 16.3533i | −0.684307 | + | 1.23619i | |||||
−0.892168 | + | 3.32962i | −0.0672497 | + | 0.250979i | |||||
− | 14.8914i | − | 1.11931i | |||||||
−5.30928 | − | 1.42262i | −0.397947 | − | 0.106630i | |||||
−9.22405 | + | 15.9765i | −0.689438 | + | 1.19414i | 0.282582 | + | 0.959243i | ||
−0.972020 | + | 0.234898i | ||||||||
−19.3287 | − | 4.99283i | −1.44068 | − | 0.372143i | |||||
− | 2.18983i | − | 0.162769i | −0.996683 | − | 0.0813844i | ||||
0.996683 | − | 0.0813844i | ||||||||
0 | 0 | |||||||||
−6.14120 | + | 6.14120i | −0.453971 | + | 0.453971i | |||||
−34.4822 | + | 9.23949i | −2.54206 | + | 0.681144i | |||||
2.50321 | + | 0.646609i | 0.184040 | + | 0.0475396i | |||||
22.2208 | − | 12.8292i | 1.62931 | − | 0.940681i | |||||
−0.695942 | −0.0508923 | |||||||||
6.10379 | − | 3.52402i | 0.445164 | − | 0.257016i | |||||
−4.55190 | − | 1.21968i | −0.331102 | − | 0.0887185i | |||||
−25.2919 | − | 14.2999i | −1.83487 | − | 1.03742i | |||||
−4.07316 | − | 7.05492i | −0.294724 | − | 0.510476i | 0.680197 | − | 0.733029i | ||
−0.974921 | + | 0.222553i | ||||||||
−6.89839 | − | 25.7451i | −0.497849 | − | 1.85800i | |||||
−11.6235 | + | 20.1326i | −0.836681 | + | 1.44917i | 0.0559740 | + | 0.998432i | ||
−0.892655 | + | 0.450741i | ||||||||
2.09477 | 0.150396 | |||||||||
0 | 0 | |||||||||
−25.3085 | −1.80775 | |||||||||
−11.0344 | + | 19.1122i | −0.786172 | + | 1.36169i | 0.142125 | + | 0.989849i | ||
−0.928297 | + | 0.371840i | ||||||||
−2.72907 | − | 10.1850i | −0.193947 | − | 0.723819i | |||||
4.06851 | + | 7.04686i | 0.288409 | + | 0.499538i | 0.973430 | − | 0.228984i | ||
−0.685021 | + | 0.728523i | ||||||||
16.5513 | − | 9.95792i | 1.17035 | − | 0.704131i | |||||
24.9554 | + | 6.68679i | 1.76022 | + | 0.471650i | |||||
−16.3172 | + | 9.42075i | −1.14807 | + | 0.662841i | |||||
2.85823 | 0.200609 | |||||||||
−2.82904 | + | 1.63335i | −0.198072 | + | 0.114357i | |||||
−3.46342 | − | 5.87587i | −0.241896 | − | 0.410389i | |||||
34.8150 | − | 9.32865i | 2.42568 | − | 0.649958i | |||||
16.0777 | − | 16.0777i | 1.11748 | − | 1.11748i | |||||
0 | 0 | |||||||||
− | 9.89312i | − | 0.684321i | |||||||
−39.9227 | + | 23.5317i | −2.75493 | + | 1.62384i | |||||
12.3867 | − | 21.4544i | 0.852737 | − | 1.47698i | −0.0259913 | − | 0.999662i | ||
0.878729 | − | 0.477322i | ||||||||
5.88407 | + | 1.57663i | 0.404120 | + | 0.108284i | |||||
25.9250i | 1.77635i | |||||||||
6.41572 | − | 23.9438i | 0.438570 | − | 1.63676i | |||||
0.0381560 | + | 4.23317i | 0.00260222 | + | 0.288700i | |||||
3.44350 | + | 3.44350i | 0.234301 | + | 0.234301i | |||||
4.47810 | − | 16.7125i | 0.303993 | − | 1.13452i | |||||
13.3998 | − | 3.59047i | 0.907551 | − | 0.243177i | |||||
−2.71974 | − | 10.1502i | −0.183783 | − | 0.685889i | |||||
12.7573 | + | 7.21291i | 0.860098 | + | 0.486295i | |||||
0 | 0 | |||||||||
4.53245 | + | 4.53245i | 0.304198 | + | 0.304198i | |||||
−25.5668 | − | 14.7610i | −1.71208 | − | 0.988469i | −0.931752 | − | 0.363096i | ||
−0.780326 | − | 0.625373i | ||||||||
−10.3567 | − | 5.97944i | −0.691986 | − | 0.399518i | |||||
−5.95832 | + | 10.7636i | −0.397221 | + | 0.717576i | |||||
−24.6001 | + | 24.6001i | −1.63637 | + | 1.63637i | |||||
3.93339 | + | 6.81284i | 0.261068 | + | 0.452184i | 0.966526 | − | 0.256568i | ||
−0.705458 | + | 0.708752i | ||||||||
−23.2187 | − | 40.2160i | −1.53770 | − | 2.66337i | |||||
12.4410 | − | 12.4410i | 0.822125 | − | 0.822125i | −0.164288 | − | 0.986412i | ||
0.986412 | + | 0.164288i | ||||||||
0.441838 | + | 49.0191i | 0.0291339 | + | 3.23222i | |||||
−13.6654 | − | 7.88973i | −0.899118 | − | 0.519106i | |||||
−2.55797 | − | 1.47684i | −0.167939 | − | 0.0969595i | |||||
1.52992 | + | 1.52992i | 0.100228 | + | 0.100228i | 0.755443 | − | 0.655214i | ||
−0.655214 | + | 0.755443i | ||||||||
0 | 0 | |||||||||
−1.16196 | − | 4.18522i | −0.0757976 | − | 0.273013i | |||||
5.98447 | + | 22.3344i | 0.389556 | + | 1.45384i | |||||
16.1398 | − | 4.32466i | 1.04840 | − | 0.280917i | |||||
−0.884391 | + | 3.30059i | −0.0573265 | + | 0.213946i | |||||
7.05936 | + | 7.05936i | 0.456632 | + | 0.456632i | 0.897548 | − | 0.440916i | ||
−0.440916 | + | 0.897548i | ||||||||
9.97105 | − | 0.0898749i | 0.643628 | − | 0.00580140i | |||||
−3.75087 | + | 13.9984i | −0.241615 | + | 0.901719i | 0.733440 | + | 0.679755i | ||
−0.975055 | + | 0.221965i | ||||||||
− | 18.3559i | − | 1.17996i | |||||||
−19.6576 | − | 5.26723i | −1.26103 | − | 0.337893i | |||||
6.74268 | − | 11.6787i | 0.431656 | − | 0.747649i | |||||
−3.90084 | + | 15.1013i | −0.249215 | + | 0.964785i | |||||
− | 16.9102i | − | 1.07816i | |||||||
0 | 0 | |||||||||
−12.6430 | + | 12.6430i | −0.802829 | + | 0.802829i | |||||
25.8191 | − | 6.91820i | 1.63622 | − | 0.438423i | |||||
−7.55522 | − | 25.4257i | −0.477834 | − | 1.60806i | |||||
−15.3843 | + | 8.88214i | −0.971050 | + | 0.560636i | −0.899556 | − | 0.436805i | ||
−0.0714936 | + | 0.997441i | ||||||||
−33.3751 | −2.10243 | |||||||||
−14.4555 | + | 8.34588i | −0.908808 | + | 0.524701i | |||||
16.1171 | + | 4.31855i | 1.01127 | + | 0.270970i | |||||
0.538553 | + | 1.93980i | 0.0337255 | + | 0.121475i | |||||
13.1033 | + | 22.6956i | 0.818955 | + | 1.41847i | |||||
−2.33322 | − | 8.70771i | −0.145543 | − | 0.543172i | −0.999731 | − | 0.0232081i | ||
0.854188 | − | 0.519964i | ||||||||
−5.24781 | + | 9.08947i | −0.326714 | + | 0.565885i | |||||
4.32232 | 0.268576 | |||||||||
0 | 0 | |||||||||
1.88127 | 0.116448 | |||||||||
11.0881 | − | 19.2051i | 0.685023 | − | 1.18650i | |||||
−1.10325 | − | 4.11740i | −0.0680295 | − | 0.253890i | 0.923533 | − | 0.383519i | ||
−0.991563 | + | 0.129629i | ||||||||
8.15321 | + | 14.1218i | 0.501795 | + | 0.869135i | |||||
1.84768 | − | 3.26794i | 0.113502 | − | 0.200748i | |||||
−46.9193 | − | 12.5720i | −2.87681 | − | 0.770838i | |||||
−4.68867 | + | 2.70700i | −0.286942 | + | 0.165666i | |||||
−40.1158 | −2.45046 | |||||||||
−1.55678 | + | 0.898805i | −0.0949183 | + | 0.0548011i | −0.546708 | − | 0.837323i | ||
0.451790 | + | 0.892125i | ||||||||
5.76095 | − | 3.39568i | 0.350600 | − | 0.206655i | |||||
−2.84859 | + | 0.763276i | −0.173039 | + | 0.0463657i | −0.344298 | − | 0.938860i | ||
0.171259 | + | 0.985226i | ||||||||
0.519898 | − | 0.519898i | 0.0315235 | − | 0.0315235i | |||||
0 | 0 | |||||||||
32.4979i | 1.96327i | |||||||||
6.27016 | − | 6.50039i | 0.378105 | − | 0.391989i | |||||
−39.1748 | + | 67.8527i | −2.35804 | + | 4.08425i | |||||
27.5242 | + | 7.37510i | 1.65377 | + | 0.443127i | 0.960665 | − | 0.277709i | ||
0.693106 | + | 0.720836i | ||||||||
− | 21.3186i | − | 1.27860i | |||||||
2.94746 | − | 11.0001i | 0.176460 | − | 0.658556i | |||||
22.6279 | − | 23.0395i | 1.35227 | − | 1.37687i | |||||
2.57874 | + | 2.57874i | 0.153835 | + | 0.153835i | 0.779828 | − | 0.625993i | ||
−0.625993 | + | 0.779828i | ||||||||
2.78717 | − | 10.4018i | 0.165973 | − | 0.619421i | |||||
7.54151 | − | 2.02074i | 0.448296 | − | 0.120121i | −0.0276057 | − | 0.999619i | ||
0.475902 | + | 0.879498i | ||||||||
−10.4186 | − | 38.8827i | −0.618230 | − | 2.30727i | |||||
−27.5751 | + | 7.65576i | −1.63341 | + | 0.453488i | |||||
0 | 0 | |||||||||
−8.06314 | − | 8.06314i | −0.475952 | − | 0.475952i | |||||
−6.81670 | − | 3.93563i | −0.401678 | − | 0.231909i | |||||
−14.5939 | − | 8.42578i | −0.858463 | − | 0.495634i | |||||
−2.84204 | + | 2.89374i | −0.166891 | + | 0.169927i | |||||
1.45898 | − | 1.45898i | 0.0855269 | − | 0.0855269i | |||||
8.15822 | + | 14.1305i | 0.477424 | + | 0.826922i | |||||
11.2799 | + | 19.5374i | 0.658979 | + | 1.14139i | 0.980880 | + | 0.194612i | ||
−0.321901 | + | 0.946773i | ||||||||
−27.3432 | + | 27.3432i | −1.59469 | + | 1.59469i | |||||
14.2490 | − | 0.128435i | 0.829610 | − | 0.00747776i | |||||
−3.86825 | − | 2.23333i | −0.224837 | − | 0.129810i | |||||
1.97195 | + | 1.13851i | 0.114424 | + | 0.0660629i | |||||
21.3226 | + | 21.3226i | 1.23518 | + | 1.23518i | |||||
0 | 0 | |||||||||
10.2323 | − | 41.1402i | 0.590765 | − | 2.37523i | |||||
1.83178 | + | 6.83629i | 0.105582 | + | 0.394037i | |||||
9.59671 | − | 2.57143i | 0.552229 | − | 0.147969i | |||||
−4.80328 | + | 17.9261i | −0.275941 | + | 1.02983i | |||||
7.39057 | + | 7.39057i | 0.423878 | + | 0.423878i | |||||
−5.92925 | − | 5.82332i | −0.339508 | − | 0.333442i | |||||
−0.582100 | + | 2.17243i | −0.0332764 | + | 0.124189i | |||||
− | 20.4085i | − | 1.16477i | −0.812912 | − | 0.582387i | ||||
0.812912 | − | 0.582387i | ||||||||
23.6662 | + | 6.34135i | 1.34851 | + | 0.361332i | |||||
17.7509 | − | 30.7454i | 1.00981 | − | 1.74904i | |||||
12.4674 | + | 21.1516i | 0.708100 | + | 1.20133i | |||||
21.3762i | 1.21213i | 0.795413 | + | 0.606067i | ||||||
−0.795413 | + | 0.606067i | ||||||||
0 | 0 | |||||||||
−5.22723 | + | 5.22723i | −0.295461 | + | 0.295461i | −0.839233 | − | 0.543772i | ||
0.543772 | + | 0.839233i | ||||||||
42.2490 | − | 11.3206i | 2.38425 | − | 0.638857i | |||||
−5.14415 | + | 19.9145i | −0.289840 | + | 1.12205i | |||||
−22.4688 | + | 12.9724i | −1.26397 | + | 0.729753i | |||||
−25.8830 | −1.45373 | −0.726867 | − | 0.686779i | ||||||
−0.726867 | + | 0.686779i | ||||||||
8.06051 | − | 4.65374i | 0.452011 | − | 0.260969i | |||||
−1.33401 | − | 0.357446i | −0.0746901 | − | 0.0200132i | |||||
24.5751 | − | 6.82285i | 1.37379 | − | 0.381409i | |||||
−12.2080 | − | 21.1450i | −0.681387 | − | 1.18020i | |||||
21.2116 | + | 79.1627i | 1.18207 | + | 4.41156i | |||||
−1.05508 | + | 1.82745i | −0.0587063 | + | 0.101682i | |||||
37.4715 | 2.08175 | |||||||||
0 | 0 | |||||||||
37.5882 | 2.08182 | |||||||||
6.83207 | − | 11.8335i | 0.377814 | − | 0.654393i | |||||
3.04987 | + | 11.3823i | 0.168401 | + | 0.628481i | |||||
−3.63083 | − | 6.28878i | −0.200174 | − | 0.346711i | |||||
21.5757 | − | 5.99015i | 1.18771 | − | 0.329747i | |||||
10.1654 | + | 2.72380i | 0.558738 | + | 0.149714i | 0.527127 | − | 0.849787i | ||
0.0316117 | + | 0.999500i | ||||||||
−35.9436 | + | 20.7520i | −1.97266 | + | 1.13892i | |||||
2.84492 | 0.155901 | |||||||||
25.6480 | − | 14.8079i | 1.40340 | − | 0.810251i | |||||
−6.18310 | + | 23.9366i | −0.337819 | + | 1.30780i | |||||
16.1026 | − | 4.31468i | 0.878468 | − | 0.235385i | |||||
6.67935 | − | 6.67935i | 0.363847 | − | 0.363847i | −0.501380 | − | 0.865227i | ||
0.865227 | + | 0.501380i | ||||||||
0 | 0 | |||||||||
34.2672i | 1.86114i | |||||||||
−1.58729 | − | 2.69291i | −0.0860826 | − | 0.146044i | |||||
−4.18008 | + | 7.24011i | −0.226364 | + | 0.392074i | |||||
−30.8820 | − | 8.27480i | −1.66991 | − | 0.447450i | |||||
− | 0.0928245i | − | 0.00501205i | |||||||
1.89295 | − | 7.06459i | 0.102061 | − | 0.380897i | |||||
34.4488 | + | 33.8333i | 1.85466 | + | 1.82153i | |||||
27.1125 | + | 27.1125i | 1.45758 | + | 1.45758i | |||||
−1.84430 | + | 6.88301i | −0.0990071 | + | 0.369500i | −0.997596 | − | 0.0692910i | ||
0.898589 | + | 0.438791i | ||||||||
−6.26171 | + | 1.67782i | −0.335663 | + | 0.0899406i | |||||
8.44064 | + | 31.5009i | 0.451817 | + | 1.68620i | 0.697281 | + | 0.716798i | ||
−0.245464 | + | 0.969406i | ||||||||
−22.8609 | − | 37.9976i | −1.22197 | − | 2.03106i | |||||
0 | 0 | |||||||||
4.08594 | + | 4.08594i | 0.217781 | + | 0.217781i | |||||
11.1895 | + | 6.46025i | 0.595556 | + | 0.343844i | 0.767291 | − | 0.641299i | ||
−0.171736 | + | 0.985143i | ||||||||
30.5955 | + | 17.6643i | 1.62613 | + | 0.938849i | |||||
−24.8067 | + | 0.223597i | −1.31660 | + | 0.0118673i | |||||
5.94425 | − | 5.94425i | 0.315045 | − | 0.315045i | |||||
1.68285 | + | 2.91478i | 0.0890657 | + | 0.154266i | |||||
−21.8833 | − | 37.9030i | −1.15657 | − | 2.00324i | |||||
−12.5304 | + | 12.5304i | −0.661330 | + | 0.661330i | −0.955693 | − | 0.294364i | ||
0.294364 | + | 0.955693i | ||||||||
14.8935 | − | 15.1644i | 0.784957 | − | 0.799236i | |||||
−9.52355 | − | 5.49842i | −0.501239 | − | 0.289391i | |||||
4.49917 | + | 2.59760i | 0.236471 | + | 0.136527i | |||||
−12.7846 | − | 12.7846i | −0.671017 | − | 0.671017i | |||||
0 | 0 | |||||||||
9.68891 | − | 2.68996i | 0.507140 | − | 0.140799i | |||||
−5.33281 | − | 19.9023i | −0.278751 | − | 1.04031i | |||||
33.6660 | − | 9.02077i | 1.75735 | − | 0.470880i | 0.771179 | − | 0.636618i | ||
0.986170 | + | 0.165738i | ||||||||
4.56413 | − | 17.0336i | 0.237922 | − | 0.887936i | |||||
−5.30710 | − | 5.30710i | −0.276277 | − | 0.276277i | |||||
−4.29784 | + | 4.37602i | −0.223434 | + | 0.227499i | |||||
1.62442 | − | 6.06240i | 0.0843354 | − | 0.314744i | |||||
39.2418i | 2.03459i | |||||||||
−14.4253 | − | 3.86524i | −0.746912 | − | 0.200135i | −0.134764 | − | 0.990878i | ||
−0.612148 | + | 0.790743i | ||||||||
0.825533 | − | 1.42987i | 0.0426873 | − | 0.0739366i | |||||
−22.9707 | − | 12.4465i | −1.18620 | − | 0.642735i | |||||
7.50416i | 0.386997i | |||||||||
0 | 0 | |||||||||
7.90543 | − | 7.90543i | 0.406611 | − | 0.406611i | |||||
−31.2859 | + | 8.38303i | −1.60705 | + | 0.430607i | −0.947161 | − | 0.320758i | ||
−0.659887 | + | 0.751365i | ||||||||
38.2809 | − | 22.5639i | 1.96377 | − | 1.15751i | |||||
14.2331 | − | 8.21748i | 0.729183 | − | 0.420994i | |||||
19.3265 | 0.988829 | |||||||||
−27.9113 | + | 16.1146i | −1.42620 | + | 0.823418i | −0.996819 | − | 0.0797046i | ||
−0.429383 | + | 0.903122i | ||||||||
46.6371 | + | 12.4964i | 2.37994 | + | 0.637702i | |||||
7.43152 | − | 13.1440i | 0.378745 | − | 0.669878i | |||||
−27.5759 | − | 47.7629i | −1.40358 | − | 2.43107i | |||||
1.20566 | + | 4.49960i | 0.0612874 | + | 0.228728i | |||||
−1.60187 | + | 2.77452i | −0.0813227 | + | 0.140855i | |||||
−11.7818 | −0.597359 | −0.298679 | − | 0.954354i | ||||||
−0.298679 | + | 0.954354i | ||||||||
0 | 0 | |||||||||
3.56028 | 0.180051 | |||||||||
13.4732 | − | 23.3362i | 0.680498 | − | 1.17866i | |||||
−5.65339 | − | 21.0987i | −0.285176 | − | 1.06429i | |||||
−26.1783 | − | 45.3422i | −1.31884 | − | 2.28431i | |||||
4.27730 | + | 15.4063i | 0.215214 | + | 0.775175i | |||||
15.5770 | + | 4.17383i | 0.782772 | + | 0.209743i | |||||
7.05618 | − | 4.07389i | 0.354139 | − | 0.204462i | −0.312367 | − | 0.949961i | ||
0.666507 | + | 0.745499i | ||||||||
−19.3044 | −0.967642 | |||||||||
−41.4348 | + | 23.9224i | −2.07433 | + | 1.19762i | |||||
0.171996 | + | 9.54014i | 0.00859978 | + | 0.477007i | |||||
15.9505 | − | 4.27393i | 0.796531 | − | 0.213430i | 0.162471 | − | 0.986713i | ||
0.634060 | + | 0.773284i | ||||||||
−43.3409 | + | 43.3409i | −2.16165 | + | 2.16165i | |||||
0 | 0 | |||||||||
− | 28.8161i | − | 1.43366i | |||||||
5.77553 | − | 22.3588i | 0.286988 | − | 1.11102i | |||||
−3.39047 | + | 5.87246i | −0.168266 | + | 0.291445i | |||||
−2.01733 | − | 0.540543i | −0.0999955 | − | 0.0267937i | |||||
− | 3.47809i | − | 0.172191i | |||||||
−1.09321 | + | 4.07993i | −0.0540560 | + | 0.201740i | −0.987673 | − | 0.156534i | ||
0.933617 | + | 0.358274i | ||||||||
16.1808 | − | 0.145847i | 0.799111 | − | 0.00720286i | |||||
22.6343 | + | 22.6343i | 1.11647 | + | 1.11647i | |||||
−14.2672 | + | 53.2460i | −0.702895 | + | 2.62324i | |||||
23.0112 | − | 6.16584i | 1.13231 | − | 0.303401i | |||||
13.9613 | + | 52.1043i | 0.686161 | + | 2.56079i | |||||
6.84245 | + | 24.6456i | 0.335882 | + | 1.20981i | |||||
0 | 0 | |||||||||
−14.8481 | − | 14.8481i | −0.727112 | − | 0.727112i | |||||
20.3261 | + | 11.7353i | 0.994184 | + | 0.573993i | |||||
−14.7910 | − | 8.53958i | −0.722587 | − | 0.417186i | 0.0931173 | − | 0.995655i | ||
−0.815704 | + | 0.578470i | ||||||||
−0.638812 | − | 70.8722i | −0.0311709 | − | 3.45821i | |||||
9.26544 | − | 9.26544i | 0.451570 | − | 0.451570i | −0.444305 | − | 0.895875i | ||
0.895875 | + | 0.444305i | ||||||||
29.3865 | + | 50.8989i | 1.43051 | + | 2.47772i | |||||
−2.38979 | − | 4.13923i | −0.116195 | − | 0.201256i | |||||
−4.58619 | + | 4.58619i | −0.222725 | + | 0.222725i | |||||
−1.85148 | + | 0.532051i | −0.0898098 | + | 0.0258083i | |||||
−53.2649 | − | 30.7525i | −2.58070 | − | 1.48997i | |||||
−12.0326 | − | 6.94703i | −0.582299 | − | 0.336190i | |||||
26.8074 | + | 26.8074i | 1.29578 | + | 1.29578i | |||||
0 | 0 | |||||||||
−8.74262 | − | 4.94303i | −0.421607 | − | 0.238374i | |||||
−2.77316 | − | 10.3496i | −0.133578 | − | 0.498521i | 0.866421 | − | 0.499314i | ||
−1.00000 | 0.000792423i | |||||||||
−2.32364 | + | 0.622619i | −0.111796 | + | 0.0299558i | |||||
1.32163 | − | 4.93240i | 0.0635136 | − | 0.237036i | −0.926870 | − | 0.375381i | ||
0.990384 | + | 0.138345i | ||||||||
29.0251 | + | 29.0251i | 1.39325 | + | 1.39325i | |||||
0.0360083 | + | 3.99489i | 0.00172646 | + | 0.191540i | |||||
−5.49126 | + | 20.4937i | −0.262984 | + | 0.981468i | |||||
50.6109i | 2.42105i | |||||||||
24.0806 | + | 6.45237i | 1.15061 | + | 0.308306i | |||||
−10.1196 | + | 17.5277i | −0.482985 | + | 0.836554i | −0.999809 | − | 0.0195376i | ||
0.516825 | + | 0.856091i | ||||||||
−13.4423 | + | 7.92329i | −0.640835 | + | 0.377728i | |||||
17.1627i | 0.817273i | |||||||||
0 | 0 | |||||||||
2.66083 | − | 2.66083i | 0.126420 | − | 0.126420i | −0.641066 | − | 0.767486i | ||
0.767486 | + | 0.641066i | ||||||||
−9.46918 | + | 2.53726i | −0.449387 | + | 0.120413i | |||||
−2.63067 | − | 4.46306i | −0.124706 | − | 0.211569i | |||||
60.6551 | − | 35.0192i | 2.87210 | − | 1.65821i | |||||
29.7017 | 1.40484 | |||||||||
36.9269 | − | 21.3197i | 1.74463 | − | 1.00726i | |||||
−29.7674 | − | 7.97615i | −1.40481 | − | 0.376418i | −0.524741 | − | 0.851262i | ||
−0.880070 | + | 0.474844i | ||||||||
−15.0469 | − | 25.0097i | −0.709317 | − | 1.17897i | |||||
2.75490 | + | 4.77163i | 0.129723 | + | 0.224687i | |||||
−13.7711 | − | 51.3944i | −0.647737 | − | 2.41739i | |||||
4.89300 | − | 8.47493i | 0.229893 | − | 0.398187i | |||||
−18.6633 | −0.875913 | |||||||||
0 | 0 | |||||||||
49.4426 | 2.31536 | |||||||||
−5.08990 | + | 8.81597i | −0.238096 | + | 0.412394i | −0.960168 | − | 0.279424i | ||
0.722072 | + | 0.691818i | ||||||||
10.8033 | + | 40.3186i | 0.504807 | + | 1.88396i | |||||
−0.242839 | − | 0.420610i | −0.0113348 | − | 0.0196324i | |||||
−65.2635 | − | 36.8996i | −3.04293 | − | 1.72045i | |||||
−18.6200 | − | 4.98920i | −0.867218 | − | 0.232370i | −0.202334 | − | 0.979317i | ||
−0.664884 | + | 0.746946i | ||||||||
32.4201 | − | 18.7177i | 1.50832 | − | 0.870828i | |||||
−16.7929 | −0.780432 | −0.390216 | − | 0.920723i | ||||||
−0.390216 | + | 0.920723i | ||||||||
1.26359 | − | 0.729533i | 0.0586606 | − | 0.0338677i | |||||
23.4151 | + | 6.04840i | 1.08585 | + | 0.280488i | |||||
−4.95814 | + | 1.32853i | −0.229681 | + | 0.0615430i | |||||
9.75781 | − | 9.75781i | 0.451538 | − | 0.451538i | −0.444327 | − | 0.895865i | ||
0.895865 | + | 0.444327i | ||||||||
0 | 0 | |||||||||
41.3316i | 1.90851i | |||||||||
9.97717 | + | 2.57722i | 0.460212 | + | 0.118878i | |||||
21.5412 | − | 37.3104i | 0.992564 | − | 1.71917i | |||||
−23.7797 | − | 6.37175i | −1.09455 | − | 0.293284i | |||||
− | 3.41974i | − | 0.157240i | |||||||
−10.2599 | + | 38.2905i | −0.471253 | + | 1.75874i | |||||
−7.56334 | − | 26.3195i | −0.347030 | − | 1.20762i | |||||
−3.69533 | − | 3.69533i | −0.169375 | − | 0.169375i | |||||
1.06918 | − | 3.99023i | 0.0489543 | − | 0.182700i | |||||
−22.8779 | + | 6.13011i | −1.04641 | + | 0.280384i | |||||
3.57686 | + | 13.3490i | 0.163431 | + | 0.609933i | 0.998235 | + | 0.0593859i | ||
−0.834804 | + | 0.550547i | ||||||||
8.22685 | − | 14.5506i | 0.375503 | − | 0.664143i | |||||
0 | 0 | |||||||||
−24.3115 | − | 24.3115i | −1.10736 | − | 1.10736i | |||||
69.9091 | + | 40.3621i | 3.18098 | + | 1.83654i | |||||
24.3123 | + | 14.0367i | 1.10510 | + | 0.638033i | |||||
1.40862 | + | 1.38346i | 0.0639624 | + | 0.0628196i | |||||
34.1399 | − | 34.1399i | 1.54862 | − | 1.54862i | |||||
10.2296 | + | 17.7182i | 0.463547 | + | 0.802887i | 0.999135 | − | 0.0415923i | ||
−0.535587 | + | 0.844480i | ||||||||
7.17902 | + | 12.4344i | 0.324979 | + | 0.562880i | |||||
26.1796 | − | 26.1796i | 1.18388 | − | 1.18388i | |||||
−26.3995 | − | 25.9278i | −1.19261 | − | 1.17130i | |||||
8.82381 | + | 5.09443i | 0.398213 | + | 0.229908i | 0.685713 | − | 0.727872i | ||
−0.287500 | + | 0.957781i | ||||||||
22.3976 | + | 12.9312i | 1.00976 | + | 0.582986i | |||||
0.208297 | + | 0.208297i | 0.00938121 | + | 0.00938121i | |||||
0 | 0 | |||||||||
4.89137 | − | 8.65126i | 0.219851 | − | 0.388845i | |||||
−2.28597 | − | 8.53136i | −0.102643 | − | 0.383069i | |||||
−40.0612 | + | 10.7344i | −1.79699 | + | 0.481502i | |||||
−16.4129 | + | 61.2537i | −0.735478 | + | 2.74484i | |||||
−7.90149 | − | 7.90149i | −0.353719 | − | 0.353719i | 0.507772 | − | 0.861491i | ||
−0.861491 | + | 0.507772i | ||||||||
39.4537 | + | 9.43612i | 1.76442 | + | 0.421996i | |||||
7.54998 | − | 28.1769i | 0.337308 | − | 1.25885i | |||||
− | 42.1443i | − | 1.88099i | |||||||
−13.6747 | − | 3.66412i | −0.609723 | − | 0.163375i | −0.0592717 | − | 0.998242i | ||
−0.550452 | + | 0.834867i | ||||||||
17.7675 | − | 30.7741i | 0.791426 | − | 1.37079i | |||||
−17.1942 | − | 4.44147i | −0.765133 | − | 0.197643i | |||||
− | 39.5998i | − | 1.76043i | |||||||
0 | 0 | |||||||||
−18.0446 | + | 18.0446i | −0.800600 | + | 0.800600i | |||||
−22.3950 | + | 6.00073i | −0.992643 | + | 0.265978i | −0.718360 | − | 0.695671i | ||
−0.274283 | + | 0.961649i | ||||||||
−4.62430 | − | 1.19451i | −0.204768 | − | 0.0528939i | |||||
14.5587 | − | 8.40548i | 0.644039 | − | 0.371836i | |||||
−20.8492 | −0.921415 | |||||||||
5.97914 | − | 3.45206i | 0.263986 | − | 0.152412i | |||||
20.6583 | + | 5.53539i | 0.911200 | + | 0.244155i | |||||
29.5722 | + | 16.7200i | 1.30311 | + | 0.736769i | |||||
−8.02598 | − | 13.9014i | −0.353324 | − | 0.611975i | |||||
0.908131 | + | 3.38919i | 0.0399396 | + | 0.149056i | |||||
−5.12718 | + | 8.88054i | −0.225275 | + | 0.390188i | |||||
37.7669 | 1.65778 | |||||||||
0 | 0 | |||||||||
−35.0306 | −1.53472 | −0.767359 | − | 0.641218i | ||||||
−0.767359 | + | 0.641218i | ||||||||
−2.23158 | + | 3.86521i | −0.0976737 | + | 0.169176i | |||||
10.4519 | + | 39.0069i | 0.457029 | + | 1.70565i | 0.682055 | + | 0.731301i | ||
−0.225026 | + | 0.974353i | ||||||||
16.9581 | + | 29.3722i | 0.740817 | + | 1.28313i | |||||
−42.3870 | − | 10.5425i | −1.84992 | − | 0.460111i | |||||
9.76819 | + | 2.61738i | 0.425913 | + | 0.114123i | |||||
1.54429 | − | 0.891594i | 0.0672702 | − | 0.0388384i | |||||
−8.05506 | −0.350551 | |||||||||
54.0324 | − | 31.1956i | 2.34923 | − | 1.35633i | |||||
4.52250 | + | 7.67266i | 0.196445 | + | 0.333279i | |||||
15.1458 | − | 4.05832i | 0.657274 | − | 0.176116i | |||||
52.5307 | − | 52.5307i | 2.27749 | − | 2.27749i | |||||
0 | 0 | |||||||||
− | 12.8443i | − | 0.555827i | |||||||
20.1275 | − | 11.8638i | 0.870188 | − | 0.512916i | |||||
21.3559 | − | 36.9895i | 0.922435 | − | 1.59771i | |||||
−41.6403 | − | 11.1575i | −1.79691 | − | 0.481481i | |||||
− | 4.26468i | − | 0.183864i | |||||||
3.26097 | − | 12.1701i | 0.140460 | − | 0.524203i | |||||
0.0921822 | + | 10.2270i | 0.00396689 | + | 0.440101i | |||||
16.7846 | + | 16.7846i | 0.721626 | + | 0.721626i | 0.968936 | − | 0.247310i | ||
−0.247310 | + | 0.968936i | ||||||||
1.81081 | − | 6.75804i | 0.0777810 | − | 0.290283i | |||||
4.94279 | − | 1.32442i | 0.212116 | − | 0.0568362i | |||||
−0.318997 | − | 1.19051i | −0.0136769 | − | 0.0510428i | |||||
11.3819 | + | 6.43528i | 0.487549 | + | 0.275657i | |||||
0 | 0 | |||||||||
10.0151 | + | 10.0151i | 0.428216 | + | 0.428216i | 0.888020 | − | 0.459804i | ||
−0.459804 | + | 0.888020i | ||||||||
−43.0434 | − | 24.8511i | −1.83872 | − | 1.06159i | |||||
−7.91978 | − | 4.57249i | −0.338008 | − | 0.195149i | |||||
5.91783 | + | 20.5933i | 0.252337 | + | 0.878103i | |||||
−2.96103 | + | 2.96103i | −0.126144 | + | 0.126144i | |||||
−41.7100 | − | 72.2438i | −1.77529 | − | 3.07490i | |||||
13.3655 | + | 23.1498i | 0.568360 | + | 0.984428i | |||||
−47.8022 | + | 47.8022i | −2.03092 | + | 2.03092i | |||||
0.0544530 | + | 6.04121i | 0.00231140 | + | 0.256435i | |||||
28.2364 | + | 16.3023i | 1.19749 | + | 0.691370i | |||||
15.5555 | + | 8.98097i | 0.659108 | + | 0.380536i | 0.791937 | − | 0.610603i | ||
−0.132829 | + | 0.991139i | ||||||||
19.1041 | + | 19.1041i | 0.808743 | + | 0.808743i | |||||
0 | 0 | |||||||||
4.26743 | + | 15.3707i | 0.180332 | + | 0.649532i | |||||
−0.420908 | − | 1.57085i | −0.0177708 | − | 0.0663214i | |||||
−8.35714 | + | 2.23929i | −0.352525 | + | 0.0944587i | |||||
−3.89312 | + | 14.5293i | −0.164075 | + | 0.612338i | 0.834081 | + | 0.551642i | ||
−0.998156 | + | 0.0606957i | ||||||||
11.6459 | + | 11.6459i | 0.490380 | + | 0.490380i | |||||
−32.7890 | + | 0.295546i | −1.37944 | + | 0.0124337i | |||||
−4.79405 | + | 17.8916i | −0.201509 | + | 0.752041i | |||||
− | 38.6071i | − | 1.62135i | |||||||
41.3990 | + | 11.0928i | 1.73706 | + | 0.465445i | |||||
−10.9760 | + | 19.0110i | −0.460138 | + | 0.796983i | −0.998967 | − | 0.0454320i | ||
0.538829 | + | 0.842415i | ||||||||
16.9805 | − | 65.7364i | 0.711234 | − | 2.75340i | |||||
− | 12.0101i | − | 0.502606i | −0.967908 | − | 0.251303i | ||||
0.967908 | − | 0.251303i | ||||||||
0 | 0 | |||||||||
13.4606 | − | 13.4606i | 0.562325 | − | 0.562325i | |||||
26.1309 | − | 7.00175i | 1.09068 | − | 0.292247i | |||||
−32.0767 | + | 33.2545i | −1.33769 | + | 1.38681i | |||||
24.3050 | − | 14.0325i | 1.01271 | − | 0.584688i | |||||
−21.1801 | −0.881741 | −0.440870 | − | 0.897571i | ||||||
−0.440870 | + | 0.897571i | ||||||||
34.6228 | − | 19.9895i | 1.44012 | − | 0.831453i | |||||
−52.4723 | − | 14.0599i | −2.18068 | − | 0.584310i | |||||
−1.65945 | − | 5.97712i | −0.0689048 | − | 0.248186i | |||||
21.3810 | + | 37.0329i | 0.887032 | + | 1.53638i | |||||
1.26693 | + | 4.72824i | 0.0525158 | + | 0.195992i | |||||
−1.51631 | + | 2.62632i | −0.0627991 | + | 0.108771i | |||||
−17.3724 | −0.718873 | |||||||||
0 | 0 | |||||||||
−53.5214 | −2.21095 | |||||||||
−17.2507 | + | 29.8791i | −0.712013 | + | 1.23324i | 0.252087 | + | 0.967705i | ||
−0.964100 | + | 0.265539i | ||||||||
−15.3067 | − | 57.1253i | −0.631237 | − | 2.35581i | |||||
12.6744 | + | 21.9527i | 0.522239 | + | 0.904544i | |||||
−16.6385 | + | 29.4280i | −0.684994 | + | 1.21153i | |||||
−49.8130 | − | 13.3473i | −2.04903 | − | 0.549036i | |||||
1.91084 | − | 1.10322i | 0.0785351 | − | 0.0453423i | |||||
−28.3656 | −1.16483 | −0.582417 | − | 0.812890i | ||||||
−0.582417 | + | 0.812890i | ||||||||
−4.67830 | + | 2.70102i | −0.191953 | + | 0.110824i | |||||
−2.77452 | + | 1.63539i | −0.113744 | + | 0.0670445i | |||||
−44.5470 | + | 11.9363i | −1.82472 | + | 0.488932i | |||||
−13.4452 | + | 13.4452i | −0.550276 | + | 0.550276i | |||||
0 | 0 | |||||||||
− | 3.01612i | − | 0.123235i | −0.998100 | − | 0.0616176i | ||||
0.998100 | − | 0.0616176i | ||||||||
32.4868 | + | 31.3362i | 1.32627 | + | 1.27930i | |||||
−6.79040 | + | 11.7613i | −0.276986 | + | 0.479754i | −0.970634 | − | 0.240560i | ||
0.693648 | + | 0.720314i | ||||||||
−16.2185 | − | 4.34575i | −0.661019 | − | 0.177119i | |||||
27.2042i | 1.10784i | |||||||||
−3.93274 | + | 14.6772i | −0.160021 | + | 0.597206i | |||||
12.1228 | − | 12.3434i | 0.492863 | − | 0.501829i | |||||
−31.1328 | − | 31.1328i | −1.26468 | − | 1.26468i | |||||
−9.28061 | + | 34.6357i | −0.376689 | + | 1.40582i | 0.474173 | + | 0.880431i | ||
−0.850862 | + | 0.525389i | ||||||||
16.9236 | − | 4.53467i | 0.686344 | − | 0.183905i | |||||
1.72867 | + | 6.45149i | 0.0700493 | + | 0.261427i | |||||
18.9978 | − | 5.27442i | 0.769198 | − | 0.213555i | |||||
0 | 0 | |||||||||
−2.43224 | − | 2.43224i | −0.0983175 | − | 0.0983175i | |||||
3.89843 | + | 2.25076i | 0.157456 | + | 0.0909074i | 0.576658 | − | 0.816986i | ||
−0.419202 | + | 0.907893i | ||||||||
41.9308 | + | 24.2087i | 1.69219 | + | 0.976986i | |||||
11.1681 | − | 11.3712i | 0.450341 | − | 0.458533i | |||||
−18.4461 | + | 18.4461i | −0.743213 | + | 0.743213i | |||||
−19.2350 | − | 33.3160i | −0.774372 | − | 1.34125i | −0.935147 | − | 0.354260i | ||
0.160776 | − | 0.986991i | ||||||||
42.1125 | + | 72.9410i | 1.69401 | + | 2.93412i | |||||
−5.85514 | + | 5.85514i | −0.235338 | + | 0.235338i | −0.814916 | − | 0.579578i | ||
0.579578 | + | 0.814916i | ||||||||
−37.5490 | + | 0.338451i | −1.50800 | + | 0.0135925i | |||||
−10.0881 | − | 5.82435i | −0.404820 | − | 0.233723i | |||||
−43.9191 | − | 25.3567i | −1.76099 | − | 1.01671i | |||||
−6.12441 | − | 6.12441i | −0.245369 | − | 0.245369i | |||||
0 | 0 | |||||||||
11.7115 | − | 22.0871i | 0.468459 | − | 0.883485i | |||||
−4.53915 | − | 16.9403i | −0.181421 | − | 0.677072i | |||||
22.3303 | − | 5.98339i | 0.891787 | − | 0.238954i | |||||
−17.3137 | + | 64.6155i | −0.690890 | + | 2.57844i | |||||
0.314994 | + | 0.314994i | 0.0125596 | + | 0.0125596i | |||||
−34.8138 | − | 34.1918i | −1.38701 | − | 1.36223i | |||||
−9.66827 | + | 36.0825i | −0.384888 | + | 1.43642i | 0.453456 | + | 0.891279i | ||
−0.838344 | + | 0.545142i | ||||||||
− | 27.6237i | − | 1.09881i | |||||||
55.9176 | + | 14.9831i | 2.22252 | + | 0.595524i | |||||
30.7026 | − | 53.1785i | 1.21936 | − | 2.11199i | |||||
7.98575 | + | 13.5482i | 0.316905 | + | 0.537645i | |||||
14.2348i | 0.564448i | |||||||||
0 | 0 | |||||||||
2.31681 | − | 2.31681i | 0.0917235 | − | 0.0917235i | |||||
−26.3680 | + | 7.06528i | −1.04310 | + | 0.279498i | |||||
−11.5551 | + | 44.7330i | −0.456754 | + | 1.76823i | |||||
−2.97232 | + | 1.71607i | −0.117399 | + | 0.0677806i | −0.557550 | − | 0.830143i | ||
0.440150 | + | 0.897924i | ||||||||
57.9252 | 2.28613 | |||||||||
−14.2572 | + | 8.23137i | −0.562247 | + | 0.324614i | −0.754047 | − | 0.656820i | ||
0.191800 | + | 0.981434i | ||||||||
−121.071 | − | 32.4409i | −4.77087 | − | 1.27835i | |||||
−9.53185 | + | 2.64636i | −0.375316 | + | 0.104200i | |||||
−2.50309 | − | 4.33549i | −0.0984829 | − | 0.170577i | |||||
−4.93784 | − | 18.4283i | −0.194127 | − | 0.724490i | −0.992491 | − | 0.122316i | ||
0.798365 | − | 0.602174i | ||||||||
−19.9482 | + | 34.5513i | −0.783639 | + | 1.35730i | |||||
−11.5110 | −0.451846 | |||||||||
0 | 0 | |||||||||
40.4311 | 1.58462 | |||||||||
−28.7436 | + | 49.7854i | −1.12569 | + | 1.94975i | |||||
−9.90911 | − | 36.9813i | −0.387773 | − | 1.44719i | −0.833748 | − | 0.552145i | ||
0.445975 | − | 0.895046i | ||||||||
16.2085 | + | 28.0740i | 0.633803 | + | 1.09778i | |||||
20.1398 | − | 5.59149i | 0.786928 | − | 0.218477i | |||||
−5.62263 | − | 1.50658i | −0.219527 | − | 0.0588220i | |||||
9.58244 | − | 5.53243i | 0.373847 | − | 0.215841i | |||||
17.2277 | 0.671605 | |||||||||
−34.0246 | + | 19.6441i | −1.32541 | + | 0.765225i | −0.984586 | − | 0.174903i | ||
−0.340823 | + | 0.940128i | ||||||||
−8.56501 | + | 33.1577i | −0.333393 | + | 1.29066i | |||||
−26.1828 | + | 7.01565i | −1.01839 | + | 0.272877i | −0.729132 | − | 0.684373i | ||
−0.289260 | + | 0.957251i | ||||||||
−17.6545 | + | 17.6545i | −0.686161 | + | 0.686161i | |||||
0 | 0 | |||||||||
− | 44.1900i | − | 1.71490i | |||||||
−23.2478 | − | 39.4410i | −0.901510 | − | 1.52946i | |||||
−3.37468 | + | 5.84511i | −0.130766 | + | 0.226493i | |||||
6.82448 | + | 1.82861i | 0.264245 | + | 0.0708042i | |||||
45.2943i | 1.75249i | |||||||||
17.8550 | − | 66.6357i | 0.690314 | − | 2.57629i | |||||
−41.8451 | − | 41.0974i | −1.61662 | − | 1.58773i | |||||
4.74713 | + | 4.74713i | 0.183261 | + | 0.183261i | |||||
7.23277 | − | 26.9931i | 0.279010 | − | 1.04128i | |||||
−6.86071 | + | 1.83832i | −0.264461 | + | 0.0708621i | −0.388613 | − | 0.921401i | ||
0.124152 | + | 0.992263i | ||||||||
5.80011 | + | 21.6463i | 0.223412 | + | 0.833785i | |||||
6.11655 | + | 1.52130i | 0.235426 | + | 0.0585550i | |||||
0 | 0 | |||||||||
19.2265 | + | 19.2265i | 0.738933 | + | 0.738933i | 0.972372 | − | 0.233439i | ||
−0.233439 | + | 0.972372i | ||||||||
−70.4045 | − | 40.6481i | −2.70387 | − | 1.56108i | |||||
2.85861 | + | 1.65042i | 0.109703 | + | 0.0633373i | |||||
3.32805 | − | 0.0299977i | 0.127625 | − | 0.00115036i | |||||
−12.9987 | + | 12.9987i | −0.498112 | + | 0.498112i | |||||
−9.91690 | − | 17.1766i | −0.379738 | − | 0.657725i | |||||
2.30838 | + | 3.99823i | 0.0883277 | + | 0.152988i | 0.906804 | − | 0.421552i | ||
−0.818477 | + | 0.574540i | ||||||||
34.5753 | − | 34.5753i | 1.32202 | − | 1.32202i | |||||
−21.4627 | + | 21.8531i | −0.820047 | + | 0.834964i | |||||
0.190715 | + | 0.110109i | 0.00728153 | + | 0.00420399i | |||||
35.6057 | + | 20.5569i | 1.35844 | + | 0.784296i | |||||
2.55469 | + | 2.55469i | 0.0973967 | + | 0.0973967i | |||||
0 | 0 | |||||||||
−110.377 | + | 30.6442i | −4.20197 | + | 1.16661i | |||||
2.74019 | + | 10.2265i | 0.104242 | + | 0.389036i | 0.998258 | − | 0.0589986i | ||
−0.894016 | + | 0.448035i | ||||||||
−56.6433 | + | 15.1775i | −2.15326 | + | 0.576963i | |||||
4.30033 | − | 16.0491i | 0.163356 | − | 0.609653i | |||||
−11.9539 | − | 11.9539i | −0.453766 | − | 0.453766i | |||||
14.0795 | − | 14.3356i | 0.534065 | − | 0.543780i | |||||
1.78640 | − | 6.66694i | 0.0677133 | − | 0.252710i | |||||
− | 1.17522i | − | 0.0445146i | |||||||
−74.7333 | − | 20.0247i | −2.82870 | − | 0.757947i | |||||
−2.52797 | + | 4.37857i | −0.0956166 | + | 0.165613i | |||||
67.8094 | − | 1.22251i | 2.56295 | − | 0.0462065i | |||||
− | 48.9646i | − | 1.84937i | −0.380735 | − | 0.924684i | ||||
0.380735 | − | 0.924684i | ||||||||
0 | 0 | |||||||||
−4.47777 | + | 4.47777i | −0.168882 | + | 0.168882i | |||||
−19.9009 | + | 5.33243i | −0.750043 | + | 0.200973i | |||||
8.74394 | − | 5.15395i | 0.329316 | − | 0.194109i | |||||
−26.5461 | + | 15.3264i | −0.999076 | + | 0.576817i | |||||
−29.6895 | −1.11659 | |||||||||
−46.7927 | + | 27.0158i | −1.75858 | + | 1.01532i | |||||
23.7942 | + | 6.37565i | 0.893611 | + | 0.239442i | 0.676271 | − | 0.736653i | ||
0.217341 | + | 0.976096i | ||||||||
28.9665 | − | 51.2324i | 1.08709 | − | 1.92272i | |||||
8.79710 | + | 15.2370i | 0.329917 | + | 0.571433i | |||||
2.31655 | + | 8.64548i | 0.0868164 | + | 0.324003i | |||||
21.3843 | − | 37.0388i | 0.800850 | − | 1.38711i | |||||
−7.98484 | −0.298825 | |||||||||
0 | 0 | |||||||||
66.9366 | 2.50154 | |||||||||
−11.6646 | + | 20.2036i | −0.435621 | + | 0.754518i | |||||
−10.8810 | − | 40.6084i | −0.406074 | − | 1.51549i | |||||
−23.3017 | − | 40.3597i | −0.869007 | − | 1.50516i | −0.863012 | − | 0.505183i | ||
−0.00599476 | − | 0.999982i | ||||||||
2.80879 | + | 10.1169i | 0.104678 | + | 0.377035i | |||||
54.8597 | + | 14.6996i | 2.04308 | + | 0.547442i | |||||
22.5938 | − | 13.0446i | 0.840856 | − | 0.485468i | |||||
−33.8652 | −1.25946 | |||||||||
−6.88102 | + | 3.97276i | −0.255731 | + | 0.147646i | |||||
−3.82225 | + | 0.0689099i | −0.141955 | + | 0.00255925i | |||||
41.4321 | − | 11.1017i | 1.53769 | − | 0.412023i | |||||
−16.4412 | + | 16.4412i | −0.609770 | + | 0.609770i | −0.942886 | − | 0.333116i | ||
0.333116 | + | 0.942886i | ||||||||
0 | 0 | |||||||||
− | 16.5738i | − | 0.613846i | |||||||
−5.96634 | + | 23.0974i | −0.220824 | + | 0.854875i | |||||
−0.364709 | + | 0.631694i | −0.0134892 | + | 0.0233641i | |||||
30.4386 | + | 8.15599i | 1.12504 | + | 0.301454i | |||||
30.6968i | 1.13381i | 0.823782 | + | 0.566907i | ||||||
−0.823782 | + | 0.566907i | ||||||||
−21.4010 | + | 79.8698i | −0.789927 | + | 2.94805i | |||||
−36.4452 | + | 0.328502i | −1.34430 | + | 0.0121170i | |||||
−20.9028 | − | 20.9028i | −0.770486 | − | 0.770486i | |||||
5.16886 | − | 19.2905i | 0.190397 | − | 0.710573i | |||||
17.1992 | − | 4.60850i | 0.633110 | − | 0.169641i | |||||
−8.93434 | − | 33.3434i | −0.328655 | − | 1.22656i | −0.910586 | − | 0.413319i | ||
0.581931 | − | 0.813238i | ||||||||
−2.50948 | − | 9.03881i | −0.0922502 | − | 0.332273i | |||||
0 | 0 | |||||||||
10.5288 | + | 10.5288i | 0.386523 | + | 0.386523i | |||||
−0.266725 | − | 0.153994i | −0.00978520 | − | 0.00564949i | 0.495099 | − | 0.868836i | ||
−0.504885 | + | 0.863187i | ||||||||
−36.1837 | − | 20.8907i | −1.32656 | − | 0.765889i | |||||
0.256170 | + | 28.4204i | 0.00938534 | + | 1.04124i | |||||
25.0528 | − | 25.0528i | 0.917249 | − | 0.917249i | |||||
14.0728 | + | 24.3748i | 0.514897 | + | 0.891828i | |||||
1.26257 | + | 2.18683i | 0.0461641 | + | 0.0799586i | |||||
27.6199 | − | 27.6199i | 1.00921 | − | 1.00921i | |||||
52.8203 | − | 32.4309i | 1.92873 | − | 1.18421i | |||||
−18.1008 | − | 10.4505i | −0.660509 | − | 0.381345i | 0.131962 | − | 0.991255i | ||
−0.792471 | + | 0.609910i | ||||||||
−3.21028 | − | 1.85346i | −0.117067 | − | 0.0675886i | |||||
−29.3529 | − | 29.3529i | −1.06968 | − | 1.06968i | |||||
0 | 0 | |||||||||
8.15153 | + | 4.60883i | 0.296665 | + | 0.167733i | |||||
4.42545 | + | 16.5160i | 0.160952 | + | 0.600681i | |||||
32.4416 | − | 8.69270i | 1.17911 | − | 0.315942i | 0.384537 | − | 0.923110i | ||
0.794573 | + | 0.607168i | ||||||||
19.8881 | − | 74.2232i | 0.722367 | − | 2.69591i | |||||
−27.5807 | − | 27.5807i | −1.00112 | − | 1.00112i | |||||
0.426430 | + | 47.3097i | 0.0154682 | + | 1.71610i | |||||
12.4256 | − | 46.3730i | 0.450428 | − | 1.68102i | −0.250764 | − | 0.968048i | ||
0.701192 | − | 0.712973i | ||||||||
38.9906i | 1.41248i | |||||||||
21.1148 | + | 5.65768i | 0.764406 | + | 0.204822i | |||||
−14.7789 | + | 25.5979i | −0.534684 | + | 0.926099i | |||||
−1.82617 | + | 1.07640i | −0.0660254 | + | 0.0389175i | |||||
− | 76.4612i | − | 2.76266i | |||||||
0 | 0 | |||||||||
−43.3025 | + | 43.3025i | −1.56255 | + | 1.56255i | |||||
22.6156 | − | 6.05983i | 0.815539 | − | 0.218523i | 0.173144 | − | 0.984897i | ||
0.642395 | + | 0.766374i | ||||||||
18.1899 | + | 30.8601i | 0.655519 | + | 1.11212i | |||||
18.2435 | − | 10.5329i | 0.657025 | − | 0.379334i | |||||
84.3490 | 3.03579 | |||||||||
23.2908 | − | 13.4470i | 0.837712 | − | 0.483653i | −0.0187736 | − | 0.999824i | ||
0.856486 | + | 0.516170i | ||||||||
−10.6749 | − | 2.86034i | −0.383703 | − | 0.102813i | |||||
−5.58553 | + | 22.4572i | −0.200638 | + | 0.806686i | |||||
−1.70554 | − | 2.95408i | −0.0612252 | − | 0.106045i | |||||
2.61416 | + | 9.75617i | 0.0937823 | + | 0.350000i | |||||
13.9756 | − | 24.2065i | 0.501051 | − | 0.867845i | |||||
16.7062 | 0.598563 | |||||||||
0 | 0 | |||||||||
20.0399 | 0.717086 | |||||||||
−4.22324 | + | 7.31487i | −0.151023 | + | 0.261579i | |||||
−0.249452 | − | 0.930966i | −0.00891467 | − | 0.0332700i | |||||
6.65549 | + | 11.5276i | 0.237696 | + | 0.411702i | |||||
35.8867 | + | 20.2901i | 1.28085 | + | 0.724186i | |||||
50.0551 | + | 13.4122i | 1.78540 | + | 0.478398i | |||||
1.25975 | − | 0.727317i | 0.0449053 | − | 0.0259261i | −0.477379 | − | 0.878697i | ||
0.522285 | + | 0.852771i | ||||||||
80.0741 | 2.85252 | |||||||||
8.62637 | − | 4.98043i | 0.307107 | − | 0.177308i | |||||
−36.7272 | − | 9.48706i | −1.30669 | − | 0.337535i | |||||
−52.9520 | + | 14.1885i | −1.88276 | + | 0.504483i | |||||
−12.1411 | + | 12.1411i | −0.431414 | + | 0.431414i | |||||
0 | 0 | |||||||||
19.3299i | 0.685994i | |||||||||
8.49375 | + | 2.19403i | 0.301242 | + | 0.0778144i | |||||
14.7620 | − | 25.5686i | 0.523227 | − | 0.906256i | |||||
12.0194 | + | 3.22058i | 0.425748 | + | 0.114079i | 0.465330 | − | 0.885138i | ||
−0.0395816 | + | 0.999216i | ||||||||
− | 113.508i | − | 4.01813i | |||||||
0.193701 | − | 0.722901i | 0.00685264 | − | 0.0255744i | |||||
13.9939 | + | 7.74646i | 0.494759 | + | 0.273879i | |||||
−4.03104 | − | 4.03104i | −0.142430 | − | 0.142430i | |||||
−10.1396 | + | 37.8413i | −0.358040 | + | 1.33622i | |||||
−7.84608 | + | 2.10235i | −0.276882 | + | 0.0741904i | |||||
−24.2622 | − | 90.5476i | −0.855661 | − | 3.19337i | |||||
−38.0180 | + | 67.2415i | −1.33996 | + | 2.36995i | |||||
0 | 0 | |||||||||
−2.97029 | − | 2.97029i | −0.104559 | − | 0.104559i | |||||
26.5705 | + | 15.3405i | 0.934746 | + | 0.539676i | |||||
6.25034 | + | 3.60863i | 0.219750 | + | 0.126873i | 0.605835 | − | 0.795591i | ||
−0.386084 | + | 0.922463i | ||||||||
39.0867 | + | 38.3884i | 1.37337 | + | 1.34883i | |||||
−15.0515 | + | 15.0515i | −0.528530 | + | 0.528530i | −0.920134 | − | 0.391604i | ||
0.391604 | + | 0.920134i | ||||||||
−5.18537 | − | 8.98132i | −0.181971 | − | 0.315183i | |||||
−3.44567 | − | 5.96807i | −0.120845 | − | 0.209309i | |||||
3.50357 | − | 3.50357i | 0.122800 | − | 0.122800i | |||||
25.2760 | + | 24.8245i | 0.885381 | + | 0.869563i | |||||
1.48793 | + | 0.859056i | 0.0520879 | + | 0.0300730i | |||||
−8.97980 | − | 5.18449i | −0.314163 | − | 0.181382i | |||||
−7.08575 | − | 7.08575i | −0.247747 | − | 0.247747i | |||||
0 | 0 | |||||||||
−12.1802 | + | 21.5429i | −0.425352 | + | 0.752311i | |||||
−4.53915 | − | 16.9404i | −0.158418 | − | 0.591222i | −0.998788 | − | 0.0492105i | ||
0.840371 | − | 0.542012i | ||||||||
−73.3529 | + | 19.6548i | −2.55847 | + | 0.685541i | |||||
2.83413 | − | 10.5771i | 0.0987916 | − | 0.368695i | −0.898775 | − | 0.438409i | ||
0.997567 | + | 0.0697141i | ||||||||
−41.5013 | − | 41.5013i | −1.44576 | − | 1.44576i | |||||
18.4646 | + | 10.2213i | 0.642856 | + | 0.355859i | |||||
−14.6280 | + | 54.5923i | −0.508972 | + | 1.89951i | |||||
1.86613i | 0.0648917i | 0.999473 | + | 0.0324458i | ||||||
−0.999473 | + | 0.0324458i | ||||||||
−79.6882 | − | 21.3524i | −2.76936 | − | 0.742047i | |||||
17.3922 | − | 30.1241i | 0.604055 | − | 1.04625i | −0.388145 | − | 0.921598i | ||
0.992200 | − | 0.124656i | ||||||||
−58.7529 | − | 15.1766i | −2.03934 | − | 0.526786i | |||||
66.5870i | 2.30988i | |||||||||
0 | 0 | |||||||||
−1.90028 | + | 1.90028i | −0.0658408 | + | 0.0658408i | |||||
48.1193 | − | 12.8935i | 1.66624 | − | 0.446467i | |||||
27.0265 | + | 6.98127i | 0.935291 | + | 0.241597i | |||||
−31.0868 | + | 17.9480i | −1.07516 | + | 0.620743i | |||||
−5.83431 | −0.201663 | |||||||||
35.0904 | − | 20.2595i | 1.21218 | − | 0.699851i | |||||
18.7439 | + | 5.02241i | 0.647111 | + | 0.173393i | 0.567422 | − | 0.823427i | ||
0.0796889 | + | 0.996820i | ||||||||
65.6892 | + | 37.1403i | 2.26649 | + | 1.28146i | |||||
−14.2077 | − | 24.6085i | −0.489921 | − | 0.848568i | |||||
8.04579 | + | 30.0273i | 0.277276 | + | 1.03481i | |||||
−4.26099 | + | 7.38026i | −0.146756 | + | 0.254190i | |||||
−89.8873 | −3.09405 | |||||||||
0 | 0 | |||||||||
11.3391 | 0.389848 | |||||||||
14.4621 | − | 25.0491i | 0.496925 | − | 0.860699i | |||||
−0.829228 | − | 3.09472i | −0.0284758 | − | 0.106273i | |||||
9.12227 | + | 15.8002i | 0.313075 | + | 0.542263i | |||||
1.10310 | − | 4.43512i | 0.0378360 | − | 0.152123i | |||||
10.3202 | + | 2.76530i | 0.353773 | + | 0.0947931i | |||||
81.4633 | − | 47.0328i | 2.79089 | − | 1.61132i | |||||
2.67051 | 0.0914364 | 0.0457182 | − | 0.998954i | ||||||
0.0457182 | + | 0.998954i | ||||||||
28.5464 | − | 16.4813i | 0.976837 | − | 0.563977i | |||||
−15.3015 | − | 25.9598i | −0.523301 | − | 0.887807i | |||||
−38.9894 | + | 10.4472i | −1.33263 | + | 0.357077i | |||||
17.5773 | − | 17.5773i | 0.600430 | − | 0.600430i | −0.339996 | − | 0.940427i | ||
0.940427 | + | 0.339996i | ||||||||
0 | 0 | |||||||||
− | 52.8699i | − | 1.80390i | −0.431844 | − | 0.901949i | ||||
0.431844 | − | 0.901949i | ||||||||
13.2325 | − | 7.79965i | 0.451225 | − | 0.265966i | |||||
13.3232 | − | 23.0764i | 0.454052 | − | 0.786441i | |||||
24.5535 | + | 6.57909i | 0.836296 | + | 0.224085i | |||||
3.40127i | 0.115780i | 0.998323 | + | 0.0578902i | ||||||
−0.998323 | + | 0.0578902i | ||||||||
−1.04371 | + | 3.89517i | −0.0355076 | + | 0.132516i | |||||
0.325730 | + | 36.1377i | 0.0110752 | + | 1.22872i | |||||
8.56625 | + | 8.56625i | 0.291093 | + | 0.291093i | |||||
10.1919 | − | 38.0366i | 0.346134 | − | 1.29179i | |||||
−60.6392 | + | 16.2482i | −2.05823 | + | 0.551500i | |||||
−3.34294 | − | 12.4760i | −0.113402 | − | 0.423220i | |||||
−8.25052 | − | 4.66479i | −0.279719 | − | 0.158151i | |||||
0 | 0 | |||||||||
−15.9733 | − | 15.9733i | −0.540923 | − | 0.540923i | |||||
1.88152 | + | 1.08630i | 0.0636798 | + | 0.0367655i | |||||
−103.984 | − | 60.0352i | −3.51731 | − | 2.03072i | |||||
9.72210 | − | 40.6494i | 0.328667 | − | 1.37420i | |||||
−26.9605 | + | 26.9605i | −0.910912 | + | 0.910912i | |||||
−9.83752 | − | 17.0391i | −0.332189 | − | 0.575369i | 0.650751 | − | 0.759291i | ||
−0.982941 | + | 0.183922i | ||||||||
−24.0080 | − | 41.5832i | −0.810232 | − | 1.40336i | |||||
−37.2768 | + | 37.2768i | −1.25732 | + | 1.25732i | |||||
−0.0694729 | − | 7.70758i | −0.00234193 | − | 0.259822i | |||||
2.06350 | + | 1.19137i | 0.0695212 | + | 0.0401381i | 0.534358 | − | 0.845258i | ||
−0.464836 | + | 0.885397i | ||||||||
−35.2621 | − | 20.3586i | −1.18734 | − | 0.685510i | |||||
30.4180 | + | 30.4180i | 1.02365 | + | 1.02365i | 0.999714 | + | 0.0239343i | ||
0.0239343 | + | 0.999714i | ||||||||
0 | 0 | |||||||||
8.90776 | + | 32.0846i | 0.299431 | + | 1.07851i | |||||
2.31057 | + | 8.62317i | 0.0776252 | + | 0.289701i | |||||
21.9337 | − | 5.87711i | 0.736461 | − | 0.197334i | 0.128956 | − | 0.991650i | ||
0.607504 | + | 0.794316i | ||||||||
2.70146 | − | 10.0820i | 0.0906550 | − | 0.338329i | |||||
18.5915 | + | 18.5915i | 0.623538 | + | 0.623538i | |||||
12.2902 | − | 0.110779i | 0.411969 | − | 0.00371332i | |||||
−4.82814 | + | 18.0189i | −0.161749 | + | 0.603655i | |||||
107.117i | 3.58653i | |||||||||
10.2763 | + | 2.75354i | 0.343885 | + | 0.0921436i | |||||
−35.2325 | + | 61.0244i | −1.17835 | + | 2.04096i | |||||
10.3170 | − | 39.9402i | 0.344860 | − | 1.33505i | |||||
77.2410i | 2.58044i | |||||||||
0 | 0 | |||||||||
51.6980 | − | 51.6980i | 1.72518 | − | 1.72518i | |||||
3.41808 | − | 0.915872i | 0.113999 | − | 0.0305460i | |||||
44.6317 | − | 0.804648i | 1.48772 | − | 0.0268216i | |||||
0.560184 | − | 0.323423i | 0.0186624 | − | 0.0107748i | |||||
−13.0716 | −0.435235 | |||||||||
−14.3227 | + | 8.26923i | −0.476630 | + | 0.275183i | |||||
54.7204 | + | 14.6623i | 1.81997 | + | 0.487660i | |||||
1.30992 | + | 4.71815i | 0.0435431 | + | 0.156837i | |||||
11.6082 | + | 20.1061i | 0.385658 | + | 0.667980i | |||||
5.99131 | + | 22.3599i | 0.198938 | + | 0.742448i | 0.991212 | + | 0.132282i | ||
−0.792274 | + | 0.610166i | ||||||||
14.2718 | − | 24.7195i | 0.473627 | − | 0.820345i | |||||
−19.5414 | −0.648147 | |||||||||
0 | 0 | |||||||||
−23.7450 | −0.786707 | −0.393354 | − | 0.919387i | ||||||
−0.393354 | + | 0.919387i | ||||||||
−12.2118 | + | 21.1515i | −0.404375 | + | 0.700397i | |||||
−5.34774 | − | 19.9580i | −0.176984 | − | 0.660515i | |||||
−12.0754 | − | 20.9152i | −0.399418 | − | 0.691813i | |||||
9.55812 | − | 16.9052i | 0.315982 | − | 0.558869i | |||||
−61.6632 | − | 16.5226i | −2.03741 | − | 0.545922i | |||||
30.2624 | − | 17.4720i | 0.999354 | − | 0.576977i | |||||
1.15223 | 0.0380293 | |||||||||
49.3350 | − | 28.4836i | 1.62741 | − | 0.939586i | 0.642549 | − | 0.766245i | ||
0.984862 | − | 0.173342i | ||||||||
68.7676 | − | 40.5337i | 2.26720 | − | 1.33636i | |||||
46.0652 | − | 12.3431i | 1.51790 | − | 0.406720i | |||||
32.3379 | − | 32.3379i | 1.06499 | − | 1.06499i | |||||
0 | 0 | |||||||||
57.2537i | 1.88351i | |||||||||
−5.78014 | + | 0.104208i | −0.190050 | + | 0.00342634i | |||||
19.9199 | − | 34.5023i | 0.654608 | − | 1.13381i | |||||
36.1083 | + | 9.67519i | 1.18595 | + | 0.317775i | |||||
− | 2.44586i | − | 0.0802892i | |||||||
−7.56304 | + | 28.2256i | −0.248135 | + | 0.926053i | 0.723647 | + | 0.690171i | ||
−0.971782 | + | 0.235882i | ||||||||
−40.2021 | + | 40.9334i | −1.31828 | + | 1.34226i | |||||
−27.0133 | − | 27.0133i | −0.885325 | − | 0.885325i | |||||
2.03185 | − | 7.58297i | 0.0665555 | − | 0.248388i | |||||
−48.2495 | + | 12.9284i | −1.57962 | + | 0.423257i | |||||
8.47335 | + | 31.6230i | 0.277256 | + | 1.03473i | |||||
1.49946 | − | 0.416299i | 0.0490375 | − | 0.0136144i | |||||
0 | 0 | |||||||||
−1.77191 | − | 1.77191i | −0.0578859 | − | 0.0578859i | 0.677571 | − | 0.735457i | ||
−0.735457 | + | 0.677571i | ||||||||
−84.9188 | − | 49.0279i | −2.77270 | − | 1.60082i | |||||
−14.9601 | − | 8.63724i | −0.488205 | − | 0.281866i | |||||
−11.0430 | + | 11.2439i | −0.360184 | + | 0.366737i | |||||
−15.5682 | + | 15.5682i | −0.507507 | + | 0.507507i | −0.913761 | − | 0.406253i | ||
0.406253 | + | 0.913761i | ||||||||
51.1047 | + | 88.5159i | 1.66508 | + | 2.88400i | |||||
−14.0934 | − | 24.4106i | −0.458946 | − | 0.794917i | |||||
8.59920 | − | 8.59920i | 0.279880 | − | 0.279880i | |||||
10.5370 | − | 0.0949760i | 0.342768 | − | 0.00308957i | |||||
7.02612 | + | 4.05653i | 0.228439 | + | 0.131889i | |||||
−0.313387 | − | 0.180934i | −0.0101837 | − | 0.00587957i | 0.494899 | − | 0.868950i | ||
−0.505083 | + | 0.863071i | ||||||||
−42.8699 | − | 42.8699i | −1.39235 | − | 1.39235i | |||||
0 | 0 | |||||||||
63.0471 | + | 15.6810i | 2.04552 | + | 0.508760i | |||||
−15.6541 | − | 58.4220i | −0.507620 | − | 1.89446i | |||||
5.37459 | − | 1.44012i | 0.174191 | − | 0.0466745i | |||||
10.4907 | − | 39.1517i | 0.339826 | − | 1.26825i | −0.558715 | − | 0.829360i | ||
0.898541 | − | 0.438889i | ||||||||
6.92996 | + | 6.92996i | 0.224366 | + | 0.224366i | |||||
12.9960 | + | 12.7639i | 0.420542 | + | 0.413029i | |||||
9.37537 | − | 34.9894i | 0.303221 | − | 1.13164i | |||||
− | 3.22725i | − | 0.104322i | |||||||
−31.6695 | − | 8.48582i | −1.02320 | − | 0.274164i | |||||
−25.6043 | + | 44.3479i | −0.826805 | + | 1.43207i | |||||
30.2633 | + | 51.3433i | 0.976745 | + | 1.65710i | |||||
9.57907i | 0.309002i | |||||||||
0 | 0 | |||||||||
18.1792 | − | 18.1792i | 0.585817 | − | 0.585817i | |||||
50.7916 | − | 13.6096i | 1.63589 | − | 0.438334i | |||||
13.0008 | − | 50.3300i | 0.418512 | − | 1.62018i | |||||
−165.854 | + | 95.7557i | −5.33626 | + | 3.08089i | |||||
−12.2654 | −0.394430 | −0.197215 | − | 0.980360i | ||||||
−0.197215 | + | 0.980360i | ||||||||
−25.8857 | + | 14.9451i | −0.831997 | + | 0.480354i | |||||
−4.76297 | − | 1.27623i | −0.153009 | − | 0.0409985i | |||||
−4.51334 | + | 1.25305i | −0.144915 | + | 0.0402332i | |||||
−11.3099 | − | 19.5894i | −0.362953 | − | 0.628654i | 0.625492 | − | 0.780231i | ||
−0.988445 | + | 0.151577i | ||||||||
19.1115 | + | 71.3250i | 0.613001 | + | 2.28775i | |||||
16.7963 | − | 29.0921i | 0.538466 | − | 0.932651i | |||||
−48.5378 | −1.55525 | |||||||||
0 | 0 | |||||||||
−7.09261 | −0.227029 | |||||||||
−17.5846 | + | 30.4574i | −0.562581 | + | 0.974419i | 0.434689 | + | 0.900581i | ||
−0.997270 | + | 0.0738385i | ||||||||
22.7335 | + | 84.8424i | 0.726936 | + | 2.71296i | |||||
2.09250 | + | 3.62432i | 0.0668767 | + | 0.115834i | |||||
54.5290 | − | 15.1391i | 1.74186 | − | 0.483600i | |||||
13.8976 | + | 3.72385i | 0.443716 | + | 0.118893i | |||||
−20.9338 | + | 12.0861i | −0.668024 | + | 0.385684i | |||||
12.2764 | 0.391555 | 0.195778 | − | 0.980648i | ||||||
0.195778 | + | 0.980648i | ||||||||
−23.8470 | + | 13.7681i | −0.760215 | + | 0.438911i | |||||
12.3419 | − | 47.7792i | 0.393247 | − | 1.52237i | |||||
−0.675045 | + | 0.180878i | −0.0214978 | + | 0.00576032i | |||||
11.9988 | − | 11.9988i | 0.381927 | − | 0.381927i | |||||
0 | 0 | |||||||||
17.4946i | 0.556297i | |||||||||
11.9725 | + | 20.3119i | 0.380510 | + | 0.645555i | |||||
−16.5995 | + | 28.7512i | −0.527301 | + | 0.913312i | 0.472193 | + | 0.881495i | ||
−0.999494 | + | 0.0318165i | ||||||||
−14.3013 | − | 3.83202i | −0.454066 | − | 0.121667i | |||||
24.5922i | 0.780409i | |||||||||
25.4664 | − | 95.0419i | 0.807745 | − | 3.01455i | |||||
−12.9812 | − | 12.7493i | −0.411531 | − | 0.404179i | |||||
−68.5794 | − | 68.5794i | −2.17302 | − | 2.17302i | |||||
−9.72750 | + | 36.3035i | −0.308073 | + | 1.14974i | 0.622194 | + | 0.782863i | ||
−0.930268 | + | 0.366882i | ||||||||
25.6070 | − | 6.86138i | 0.810576 | − | 0.217193i | |||||
−0.377229 | − | 1.40784i | −0.0119350 | − | 0.0445421i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 845.2.o.i.357.5 | 144 | ||
5.3 | odd | 4 | 845.2.t.i.188.32 | 144 | |||
13.2 | odd | 12 | 845.2.t.i.427.5 | 144 | |||
13.3 | even | 3 | inner | 845.2.o.i.587.5 | 144 | ||
13.4 | even | 6 | 845.2.k.f.577.5 | yes | 72 | ||
13.5 | odd | 4 | 845.2.t.i.657.32 | 144 | |||
13.6 | odd | 12 | 845.2.f.f.437.5 | yes | 72 | ||
13.7 | odd | 12 | 845.2.f.f.437.32 | yes | 72 | ||
13.8 | odd | 4 | 845.2.t.i.657.5 | 144 | |||
13.9 | even | 3 | 845.2.k.f.577.32 | yes | 72 | ||
13.10 | even | 6 | inner | 845.2.o.i.587.32 | 144 | ||
13.11 | odd | 12 | 845.2.t.i.427.32 | 144 | |||
13.12 | even | 2 | inner | 845.2.o.i.357.32 | 144 | ||
65.3 | odd | 12 | 845.2.t.i.418.5 | 144 | |||
65.8 | even | 4 | inner | 845.2.o.i.488.5 | 144 | ||
65.18 | even | 4 | inner | 845.2.o.i.488.32 | 144 | ||
65.23 | odd | 12 | 845.2.t.i.418.32 | 144 | |||
65.28 | even | 12 | inner | 845.2.o.i.258.32 | 144 | ||
65.33 | even | 12 | 845.2.k.f.268.32 | yes | 72 | ||
65.38 | odd | 4 | 845.2.t.i.188.5 | 144 | |||
65.43 | odd | 12 | 845.2.f.f.408.32 | yes | 72 | ||
65.48 | odd | 12 | 845.2.f.f.408.5 | ✓ | 72 | ||
65.58 | even | 12 | 845.2.k.f.268.5 | yes | 72 | ||
65.63 | even | 12 | inner | 845.2.o.i.258.5 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.f.f.408.5 | ✓ | 72 | 65.48 | odd | 12 | ||
845.2.f.f.408.32 | yes | 72 | 65.43 | odd | 12 | ||
845.2.f.f.437.5 | yes | 72 | 13.6 | odd | 12 | ||
845.2.f.f.437.32 | yes | 72 | 13.7 | odd | 12 | ||
845.2.k.f.268.5 | yes | 72 | 65.58 | even | 12 | ||
845.2.k.f.268.32 | yes | 72 | 65.33 | even | 12 | ||
845.2.k.f.577.5 | yes | 72 | 13.4 | even | 6 | ||
845.2.k.f.577.32 | yes | 72 | 13.9 | even | 3 | ||
845.2.o.i.258.5 | 144 | 65.63 | even | 12 | inner | ||
845.2.o.i.258.32 | 144 | 65.28 | even | 12 | inner | ||
845.2.o.i.357.5 | 144 | 1.1 | even | 1 | trivial | ||
845.2.o.i.357.32 | 144 | 13.12 | even | 2 | inner | ||
845.2.o.i.488.5 | 144 | 65.8 | even | 4 | inner | ||
845.2.o.i.488.32 | 144 | 65.18 | even | 4 | inner | ||
845.2.o.i.587.5 | 144 | 13.3 | even | 3 | inner | ||
845.2.o.i.587.32 | 144 | 13.10 | even | 6 | inner | ||
845.2.t.i.188.5 | 144 | 65.38 | odd | 4 | |||
845.2.t.i.188.32 | 144 | 5.3 | odd | 4 | |||
845.2.t.i.418.5 | 144 | 65.3 | odd | 12 | |||
845.2.t.i.418.32 | 144 | 65.23 | odd | 12 | |||
845.2.t.i.427.5 | 144 | 13.2 | odd | 12 | |||
845.2.t.i.427.32 | 144 | 13.11 | odd | 12 | |||
845.2.t.i.657.5 | 144 | 13.8 | odd | 4 | |||
845.2.t.i.657.32 | 144 | 13.5 | odd | 4 |