Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,2,Mod(163,240)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(240, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 240.y (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 163.1 | ||
Root | of defining polynomial | ||
Character | 240.163 | ||
Dual form | 240.2.y.e.187.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.32675 | + | 0.489639i | −0.938151 | + | 0.346227i | |||||
1.00000 | 0.577350 | |||||||||
1.52051 | − | 1.29925i | 0.760254 | − | 0.649626i | |||||
2.06823 | + | 0.849960i | 0.924940 | + | 0.380114i | |||||
−1.32675 | + | 0.489639i | −0.541642 | + | 0.199894i | |||||
−2.08016 | + | 2.08016i | −0.786226 | + | 0.786226i | −0.980873 | − | 0.194647i | ||
0.194647 | + | 0.980873i | ||||||||
−1.38116 | + | 2.46828i | −0.488314 | + | 0.872668i | |||||
1.00000 | 0.333333 | |||||||||
−3.16019 | − | 0.114996i | −0.999339 | − | 0.0363648i | |||||
3.33354 | + | 3.33354i | 1.00510 | + | 1.00510i | 0.999987 | + | 0.00511408i | ||
0.00511408 | + | 0.999987i | ||||||||
1.52051 | − | 1.29925i | 0.438933 | − | 0.375062i | |||||
− | 6.13735i | − | 1.70220i | −0.525007 | − | 0.851098i | ||||
0.525007 | − | 0.851098i | ||||||||
1.74131 | − | 3.77837i | 0.465386 | − | 1.00981i | |||||
2.06823 | + | 0.849960i | 0.534014 | + | 0.219459i | |||||
0.623885 | − | 3.95105i | 0.155971 | − | 0.987762i | |||||
−2.33136 | + | 2.33136i | −0.565437 | + | 0.565437i | −0.930847 | − | 0.365410i | ||
0.365410 | + | 0.930847i | ||||||||
−1.32675 | + | 0.489639i | −0.312717 | + | 0.115409i | |||||
0.834324 | + | 0.834324i | 0.191407 | + | 0.191407i | 0.796304 | − | 0.604897i | ||
−0.604897 | + | 0.796304i | ||||||||
4.24907 | − | 1.39478i | 0.950121 | − | 0.311882i | |||||
−2.08016 | + | 2.08016i | −0.453928 | + | 0.453928i | |||||
−6.05500 | − | 2.79053i | −1.29093 | − | 0.594943i | |||||
2.95105 | + | 2.95105i | 0.615336 | + | 0.615336i | 0.944331 | − | 0.328996i | ||
−0.328996 | + | 0.944331i | ||||||||
−1.38116 | + | 2.46828i | −0.281928 | + | 0.503835i | |||||
3.55514 | + | 3.51582i | 0.711027 | + | 0.703165i | |||||
3.00509 | + | 8.14270i | 0.589346 | + | 1.59692i | |||||
1.00000 | 0.192450 | |||||||||
−0.460244 | + | 5.86555i | −0.0869780 | + | 1.10848i | |||||
−0.576185 | + | 0.576185i | −0.106995 | + | 0.106995i | −0.758578 | − | 0.651583i | ||
0.651583 | + | 0.758578i | ||||||||
−3.16019 | − | 0.114996i | −0.576968 | − | 0.0209953i | |||||
− | 2.62300i | − | 0.471106i | −0.971862 | − | 0.235553i | ||||
0.971862 | − | 0.235553i | ||||||||
1.10685 | + | 5.54751i | 0.195665 | + | 0.980671i | |||||
3.33354 | + | 3.33354i | 0.580295 | + | 0.580295i | |||||
1.95159 | − | 4.23464i | 0.334696 | − | 0.726235i | |||||
−6.07029 | + | 2.53419i | −1.02607 | + | 0.428356i | |||||
1.52051 | − | 1.29925i | 0.253418 | − | 0.216542i | |||||
− | 2.07309i | − | 0.340814i | −0.985374 | − | 0.170407i | ||||
0.985374 | − | 0.170407i | ||||||||
−1.51545 | − | 0.698418i | −0.245839 | − | 0.113298i | |||||
− | 6.13735i | − | 0.982763i | |||||||
−4.95449 | + | 3.93103i | −0.783374 | + | 0.621550i | |||||
− | 10.8873i | − | 1.70031i | −0.526533 | − | 0.850154i | ||||
0.526533 | − | 0.850154i | ||||||||
1.74131 | − | 3.77837i | 0.268691 | − | 0.583015i | |||||
5.16088i | 0.787027i | 0.919319 | + | 0.393514i | ||||||
−0.919319 | + | 0.393514i | ||||||||
9.39979 | + | 0.737562i | 1.41707 | + | 0.111192i | |||||
2.06823 | + | 0.849960i | 0.308313 | + | 0.126705i | |||||
−5.36024 | − | 2.47034i | −0.790324 | − | 0.364232i | |||||
−8.65772 | − | 8.65772i | −1.26286 | − | 1.26286i | −0.949702 | − | 0.313156i | ||
−0.313156 | − | 0.949702i | ||||||||
0.623885 | − | 3.95105i | 0.0900500 | − | 0.570284i | |||||
− | 1.65411i | − | 0.236302i | |||||||
−6.43824 | − | 2.92387i | −0.910505 | − | 0.413498i | |||||
−2.33136 | + | 2.33136i | −0.326455 | + | 0.326455i | |||||
−7.97397 | − | 9.33189i | −1.10579 | − | 1.29410i | |||||
−1.58490 | −0.217703 | −0.108851 | − | 0.994058i | ||||||
−0.108851 | + | 0.994058i | ||||||||
−1.32675 | + | 0.489639i | −0.180547 | + | 0.0666314i | |||||
4.06115 | + | 9.72791i | 0.547605 | + | 1.31171i | |||||
−2.26137 | − | 8.00744i | −0.302189 | − | 1.07004i | |||||
0.834324 | + | 0.834324i | 0.110509 | + | 0.110509i | |||||
0.482328 | − | 1.04657i | 0.0633328 | − | 0.137422i | |||||
2.32603 | − | 2.32603i | 0.302824 | − | 0.302824i | −0.539294 | − | 0.842118i | ||
0.842118 | + | 0.539294i | ||||||||
4.24907 | − | 1.39478i | 0.548552 | − | 0.180065i | |||||
−7.22499 | − | 7.22499i | −0.925065 | − | 0.925065i | 0.0723167 | − | 0.997382i | ||
−0.997382 | + | 0.0723167i | ||||||||
1.28433 | + | 3.48006i | 0.163109 | + | 0.441968i | |||||
−2.08016 | + | 2.08016i | −0.262075 | + | 0.262075i | |||||
−4.18479 | − | 6.81818i | −0.523098 | − | 0.852272i | |||||
5.21651 | − | 12.6934i | 0.647028 | − | 1.57443i | |||||
−6.05500 | − | 2.79053i | −0.745318 | − | 0.343491i | |||||
0.885549i | 0.108187i | 0.998536 | + | 0.0540935i | ||||||
−0.998536 | + | 0.0540935i | ||||||||
−0.515823 | + | 6.57387i | −0.0625528 | + | 0.797198i | |||||
2.95105 | + | 2.95105i | 0.355264 | + | 0.355264i | |||||
6.81290 | − | 6.33448i | 0.814297 | − | 0.757115i | |||||
2.56877 | 0.304857 | 0.152428 | − | 0.988315i | ||||||
0.152428 | + | 0.988315i | ||||||||
−1.38116 | + | 2.46828i | −0.162771 | + | 0.290889i | |||||
7.35033 | − | 7.35033i | 0.860291 | − | 0.860291i | −0.131081 | − | 0.991372i | ||
0.991372 | + | 0.131081i | ||||||||
1.01507 | + | 2.75047i | 0.117999 | + | 0.319735i | |||||
3.55514 | + | 3.51582i | 0.410512 | + | 0.405972i | |||||
2.35259 | + | 0.184598i | 0.269861 | + | 0.0211748i | |||||
−13.8686 | −1.58047 | |||||||||
3.00509 | + | 8.14270i | 0.340259 | + | 0.921980i | |||||
−7.72612 | −0.869256 | −0.434628 | − | 0.900610i | ||||||
−0.434628 | + | 0.900610i | ||||||||
4.64857 | − | 7.64139i | 0.519726 | − | 0.854333i | |||||
1.00000 | 0.111111 | |||||||||
5.33084 | + | 14.4447i | 0.588693 | + | 1.59515i | |||||
−8.67714 | −0.952440 | −0.476220 | − | 0.879326i | ||||||
−0.476220 | + | 0.879326i | ||||||||
−0.460244 | + | 5.86555i | −0.0502168 | + | 0.639984i | |||||
−6.80334 | + | 2.84022i | −0.737926 | + | 0.308065i | |||||
−2.52697 | − | 6.84718i | −0.272490 | − | 0.738350i | |||||
−0.576185 | + | 0.576185i | −0.0617735 | + | 0.0617735i | |||||
−12.8323 | + | 3.62395i | −1.36792 | + | 0.386314i | |||||
−8.70590 | −0.922823 | −0.461412 | − | 0.887186i | ||||||
−0.461412 | + | 0.887186i | ||||||||
−3.16019 | − | 0.114996i | −0.333113 | − | 0.0121216i | |||||
12.7667 | + | 12.7667i | 1.33831 | + | 1.33831i | |||||
8.32124 | + | 0.652933i | 0.867550 | + | 0.0680729i | |||||
− | 2.62300i | − | 0.271993i | |||||||
15.7257 | + | 7.24743i | 1.62199 | + | 0.747516i | |||||
1.01643 | + | 2.43472i | 0.104284 | + | 0.249797i | |||||
1.10685 | + | 5.54751i | 0.112967 | + | 0.566191i | |||||
11.9985 | − | 11.9985i | 1.21826 | − | 1.21826i | 0.250021 | − | 0.968240i | ||
0.968240 | − | 0.250021i | ||||||||
0.809919 | + | 2.19459i | 0.0818142 | + | 0.221687i | |||||
3.33354 | + | 3.33354i | 0.335034 | + | 0.335034i | |||||
9.97355 | + | 0.726816i | 0.997355 | + | 0.0726816i | |||||
−6.69380 | + | 6.69380i | −0.666058 | + | 0.666058i | −0.956801 | − | 0.290743i | ||
0.290743 | + | 0.956801i | ||||||||
1.95159 | − | 4.23464i | 0.193237 | − | 0.419292i | |||||
−13.4242 | − | 13.4242i | −1.32272 | − | 1.32272i | −0.911564 | − | 0.411158i | ||
−0.411158 | − | 0.911564i | ||||||||
15.1487 | + | 8.47667i | 1.48545 | + | 0.831206i | |||||
−6.07029 | + | 2.53419i | −0.592400 | + | 0.247312i | |||||
2.10276 | − | 0.776029i | 0.204238 | − | 0.0753746i | |||||
−10.9567 | −1.05922 | −0.529612 | − | 0.848240i | ||||||
−0.529612 | + | 0.848240i | ||||||||
1.52051 | − | 1.29925i | 0.146311 | − | 0.125021i | |||||
0.643941 | − | 0.643941i | 0.0616784 | − | 0.0616784i | −0.675595 | − | 0.737273i | ||
0.737273 | + | 0.675595i | ||||||||
−10.1513 | − | 10.9180i | −0.967886 | − | 1.04099i | |||||
− | 2.07309i | − | 0.196769i | |||||||
6.92102 | + | 9.51658i | 0.653975 | + | 0.899232i | |||||
9.19571 | + | 9.19571i | 0.865060 | + | 0.865060i | 0.991921 | − | 0.126861i | ||
−0.126861 | + | 0.991921i | ||||||||
−1.51545 | − | 0.698418i | −0.141935 | − | 0.0654129i | |||||
3.59517 | + | 8.61171i | 0.335251 | + | 0.803046i | |||||
−0.127484 | + | 1.62470i | −0.0118366 | + | 0.150850i | |||||
− | 6.13735i | − | 0.567398i | |||||||
−1.94714 | + | 4.22497i | −0.179249 | + | 0.388940i | |||||
− | 9.69918i | − | 0.889122i | |||||||
−4.95449 | + | 3.93103i | −0.452281 | + | 0.358852i | |||||
11.2250i | 1.02046i | |||||||||
13.1234 | + | 6.04809i | 1.18813 | + | 0.547568i | |||||
− | 10.8873i | − | 0.981674i | |||||||
−3.40795 | − | 3.98830i | −0.306043 | − | 0.358160i | |||||
4.36452 | + | 10.2932i | 0.390375 | + | 0.920656i | |||||
1.74131 | − | 3.77837i | 0.155129 | − | 0.336604i | |||||
4.80716 | + | 4.80716i | 0.426567 | + | 0.426567i | 0.887457 | − | 0.460890i | ||
−0.460890 | + | 0.887457i | ||||||||
8.89059 | + | 6.99695i | 0.785825 | + | 0.618449i | |||||
5.16088i | 0.454391i | |||||||||
−0.705769 | + | 19.3952i | −0.0619001 | + | 1.70107i | |||||
−3.53632 | + | 3.53632i | −0.308970 | + | 0.308970i | −0.844510 | − | 0.535540i | ||
0.535540 | + | 0.844510i | ||||||||
9.39979 | + | 0.737562i | 0.818147 | + | 0.0641965i | |||||
−3.47105 | −0.300978 | |||||||||
−0.433599 | − | 1.17490i | −0.0374573 | − | 0.101496i | |||||
2.06823 | + | 0.849960i | 0.178005 | + | 0.0731529i | |||||
−2.53445 | − | 8.97441i | −0.217328 | − | 0.769550i | |||||
7.54548 | + | 7.54548i | 0.644654 | + | 0.644654i | 0.951696 | − | 0.307042i | ||
−0.307042 | + | 0.951696i | ||||||||
−5.36024 | − | 2.47034i | −0.456294 | − | 0.210289i | |||||
−2.84263 | + | 2.84263i | −0.241109 | + | 0.241109i | −0.817309 | − | 0.576200i | ||
0.576200 | + | 0.817309i | ||||||||
−5.93737 | + | 11.7401i | −0.501799 | + | 0.992219i | |||||
−8.65772 | − | 8.65772i | −0.729111 | − | 0.729111i | |||||
−3.40810 | + | 1.25777i | −0.286002 | + | 0.105550i | |||||
20.4591 | − | 20.4591i | 1.71088 | − | 1.71088i | |||||
0.623885 | − | 3.95105i | 0.0519904 | − | 0.329254i | |||||
−1.68142 | + | 0.701948i | −0.139634 | + | 0.0582936i | |||||
−6.15301 | + | 13.3510i | −0.509227 | + | 1.10494i | |||||
− | 1.65411i | − | 0.136429i | |||||||
−2.69347 | − | 3.15215i | −0.221402 | − | 0.259105i | |||||
3.20287 | + | 3.20287i | 0.262389 | + | 0.262389i | 0.826024 | − | 0.563635i | ||
−0.563635 | + | 0.826024i | ||||||||
−6.43824 | − | 2.92387i | −0.525680 | − | 0.238733i | |||||
8.82773 | 0.718390 | 0.359195 | − | 0.933262i | ||||||
0.359195 | + | 0.933262i | ||||||||
−3.21168 | + | 0.907007i | −0.260502 | + | 0.0735680i | |||||
−2.33136 | + | 2.33136i | −0.188479 | + | 0.188479i | |||||
18.4001 | − | 6.79060i | 1.48272 | − | 0.547202i | |||||
2.22945 | − | 5.42497i | 0.179074 | − | 0.435744i | |||||
−7.97397 | − | 9.33189i | −0.638429 | − | 0.747149i | |||||
15.5186 | 1.23852 | 0.619258 | − | 0.785187i | ||||||
0.619258 | + | 0.785187i | ||||||||
10.2506 | − | 3.78301i | 0.815493 | − | 0.300960i | |||||
−1.58490 | −0.125691 | |||||||||
−2.42595 | + | 12.4143i | −0.191788 | + | 0.981436i | |||||
−12.2773 | −0.967586 | |||||||||
−1.32675 | + | 0.489639i | −0.104239 | + | 0.0384697i | |||||
8.65221 | 0.677694 | 0.338847 | − | 0.940842i | ||||||
0.338847 | + | 0.940842i | ||||||||
−14.1453 | − | 16.5542i | −1.10457 | − | 1.29267i | |||||
4.06115 | + | 9.72791i | 0.316160 | + | 0.757316i | |||||
11.5124 | − | 4.24867i | 0.893532 | − | 0.329760i | |||||
2.86613 | − | 2.86613i | 0.221788 | − | 0.221788i | −0.587463 | − | 0.809251i | ||
0.809251 | + | 0.587463i | ||||||||
−2.26137 | − | 8.00744i | −0.174469 | − | 0.617787i | |||||
−24.6671 | −1.89747 | |||||||||
7.63562 | − | 7.09942i | 0.585625 | − | 0.544501i | |||||
0.834324 | + | 0.834324i | 0.0638024 | + | 0.0638024i | |||||
6.70529 | + | 7.84716i | 0.511274 | + | 0.598340i | |||||
15.1143i | 1.14912i | 0.818464 | + | 0.574558i | ||||||
−0.818464 | + | 0.574558i | ||||||||
0.482328 | − | 1.04657i | 0.0365652 | − | 0.0793406i | |||||
−14.7087 | + | 0.0817750i | −1.11187 | + | 0.00618161i | |||||
15.2507 | − | 11.0912i | 1.14957 | − | 0.836033i | |||||
2.32603 | − | 2.32603i | 0.174835 | − | 0.174835i | |||||
11.5505 | − | 4.26275i | 0.865747 | − | 0.319506i | |||||
−12.3666 | − | 12.3666i | −0.924324 | − | 0.924324i | 0.0730070 | − | 0.997331i | ||
−0.997331 | + | 0.0730070i | ||||||||
4.24907 | − | 1.39478i | 0.316707 | − | 0.103961i | |||||
−9.58991 | + | 9.58991i | −0.712813 | + | 0.712813i | −0.967123 | − | 0.254310i | ||
0.254310 | + | 0.967123i | ||||||||
−23.1892 | − | 10.6871i | −1.71890 | − | 0.792177i | |||||
−7.22499 | − | 7.22499i | −0.534087 | − | 0.534087i | |||||
−11.3599 | + | 3.20813i | −0.837461 | + | 0.236506i | |||||
1.76205 | − | 4.28763i | 0.129548 | − | 0.315233i | |||||
1.28433 | + | 3.48006i | 0.0941713 | + | 0.255170i | |||||
−15.5434 | −1.13664 | |||||||||
−24.4127 | − | 1.91556i | −1.78048 | − | 0.139707i | |||||
−2.08016 | + | 2.08016i | −0.151309 | + | 0.151309i | |||||
−2.54068 | − | 2.73256i | −0.184320 | − | 0.198241i | |||||
− | 14.5044i | − | 1.04950i | −0.851257 | − | 0.524750i | ||||
0.851257 | − | 0.524750i | ||||||||
−4.18479 | − | 6.81818i | −0.302011 | − | 0.492060i | |||||
−1.68153 | − | 1.68153i | −0.121039 | − | 0.121039i | 0.643992 | − | 0.765032i | ||
−0.765032 | + | 0.643992i | ||||||||
−10.0440 | + | 21.7939i | −0.721118 | + | 1.56471i | |||||
5.21651 | − | 12.6934i | 0.373562 | − | 0.908996i | |||||
−2.14911 | − | 2.51509i | −0.153508 | − | 0.179649i | |||||
− | 8.65121i | − | 0.616373i | −0.951326 | − | 0.308187i | ||||
0.951326 | − | 0.308187i | ||||||||
−6.05500 | − | 2.79053i | −0.430310 | − | 0.198314i | |||||
22.3275i | 1.58275i | 0.611328 | + | 0.791377i | ||||||
−0.611328 | + | 0.791377i | ||||||||
−13.5882 | + | 3.91914i | −0.960834 | + | 0.277125i | |||||
0.885549i | 0.0624618i | |||||||||
5.60343 | − | 12.1585i | 0.394256 | − | 0.855471i | |||||
− | 2.39711i | − | 0.168244i | |||||||
−0.515823 | + | 6.57387i | −0.0361149 | + | 0.460263i | |||||
9.25376 | − | 22.5174i | 0.646311 | − | 1.57268i | |||||
24.3834 | + | 11.2375i | 1.69887 | + | 0.782951i | |||||
2.95105 | + | 2.95105i | 0.205112 | + | 0.205112i | |||||
−24.2490 | − | 3.82900i | −1.68136 | − | 0.265493i | |||||
5.56251i | 0.384767i | |||||||||
6.81290 | − | 6.33448i | 0.470134 | − | 0.437120i | |||||
5.27613 | − | 5.27613i | 0.363224 | − | 0.363224i | −0.501775 | − | 0.864998i | ||
0.864998 | + | 0.501775i | ||||||||
−2.40985 | + | 2.05919i | −0.165509 | + | 0.141426i | |||||
2.56877 | 0.176009 | |||||||||
14.5368 | − | 5.36483i | 0.993712 | − | 0.366732i | |||||
−4.38655 | + | 10.6739i | −0.299160 | + | 0.727953i | |||||
−1.38116 | + | 2.46828i | −0.0939761 | + | 0.167945i | |||||
5.45626 | + | 5.45626i | 0.370395 | + | 0.370395i | |||||
−0.539047 | + | 1.16964i | −0.0365089 | + | 0.0792183i | |||||
7.35033 | − | 7.35033i | 0.496689 | − | 0.496689i | |||||
18.8140 | + | 9.51489i | 1.26844 | + | 0.641494i | |||||
14.3084 | + | 14.3084i | 0.962484 | + | 0.962484i | |||||
1.01507 | + | 2.75047i | 0.0681268 | + | 0.184599i | |||||
13.8202 | − | 13.8202i | 0.925469 | − | 0.925469i | −0.0719400 | − | 0.997409i | ||
0.997409 | + | 0.0719400i | ||||||||
−13.8421 | − | 9.23728i | −0.924866 | − | 0.617192i | |||||
3.55514 | + | 3.51582i | 0.237009 | + | 0.234388i | |||||
−16.7029 | − | 7.69779i | −1.11106 | − | 0.512049i | |||||
1.66286i | 0.110368i | 0.998476 | + | 0.0551839i | ||||||
−0.998476 | + | 0.0551839i | ||||||||
2.35259 | + | 0.184598i | 0.155804 | + | 0.0122253i | |||||
11.3744 | + | 11.3744i | 0.751643 | + | 0.751643i | 0.974786 | − | 0.223142i | ||
−0.223142 | + | 0.974786i | ||||||||
−8.98650 | − | 9.66521i | −0.592552 | − | 0.637305i | |||||
−13.8686 | −0.912486 | |||||||||
−0.626380 | − | 2.21799i | −0.0411239 | − | 0.145618i | |||||
9.38976 | − | 9.38976i | 0.615143 | − | 0.615143i | −0.329138 | − | 0.944282i | ||
0.944282 | + | 0.329138i | ||||||||
3.00509 | + | 8.14270i | 0.196449 | + | 0.532305i | |||||
−10.5474 | − | 25.2649i | −0.688038 | − | 1.64810i | |||||
0.514646 | − | 6.55886i | 0.0335006 | − | 0.426945i | |||||
−7.72612 | −0.501865 | |||||||||
4.74910 | + | 12.8683i | 0.307838 | + | 0.834131i | |||||
8.88914 | 0.574991 | 0.287495 | − | 0.957782i | ||||||
0.287495 | + | 0.957782i | ||||||||
4.64857 | − | 7.64139i | 0.300064 | − | 0.493249i | |||||
20.5978 | 1.32682 | 0.663411 | − | 0.748255i | ||||||
0.663411 | + | 0.748255i | ||||||||
−5.49621 | − | 14.8927i | −0.353309 | − | 0.957342i | |||||
1.00000 | 0.0641500 | |||||||||
−20.3727 | − | 1.59856i | −1.30423 | − | 0.102337i | |||||
1.40593 | − | 3.42109i | 0.0898217 | − | 0.218565i | |||||
5.33084 | + | 14.4447i | 0.339882 | + | 0.920958i | |||||
5.12054 | − | 5.12054i | 0.325812 | − | 0.325812i | |||||
6.47430 | + | 3.62279i | 0.411119 | + | 0.230048i | |||||
−8.67714 | −0.549891 | |||||||||
−10.8306 | − | 11.5195i | −0.684986 | − | 0.728556i | |||||
16.8455 | + | 16.8455i | 1.06328 | + | 1.06328i | 0.997858 | + | 0.0654195i | ||
0.0654195 | + | 0.997858i | ||||||||
−0.460244 | + | 5.86555i | −0.0289927 | + | 0.369495i | |||||
19.6749i | 1.23695i | |||||||||
−8.73165 | − | 4.02411i | −0.547873 | − | 0.252495i | |||||
−6.80334 | + | 2.84022i | −0.426042 | + | 0.177861i | |||||
−15.2215 | − | 4.93000i | −0.951346 | − | 0.308125i | |||||
−14.1500 | + | 14.1500i | −0.882653 | + | 0.882653i | −0.993804 | − | 0.111151i | ||
0.111151 | + | 0.993804i | ||||||||
−2.52697 | − | 6.84718i | −0.157322 | − | 0.426287i | |||||
4.31236 | + | 4.31236i | 0.267957 | + | 0.267957i | |||||
−8.56026 | − | 26.0780i | −0.530885 | − | 1.61729i | |||||
−0.576185 | + | 0.576185i | −0.0356650 | + | 0.0356650i | |||||
2.96028 | − | 6.42332i | 0.182887 | − | 0.396834i | |||||
11.1204 | + | 11.1204i | 0.685712 | + | 0.685712i | 0.961281 | − | 0.275569i | ||
−0.275569 | + | 0.961281i | ||||||||
−12.8323 | + | 3.62395i | −0.789772 | + | 0.223039i | |||||
−3.27794 | − | 1.34710i | −0.201362 | − | 0.0827519i | |||||
4.60520 | − | 1.69956i | 0.282363 | − | 0.104207i | |||||
−8.70590 | −0.532792 | |||||||||
1.15055 | + | 1.34648i | 0.0702811 | + | 0.0822496i | |||||
−10.2902 | + | 10.2902i | −0.627403 | + | 0.627403i | −0.947414 | − | 0.320011i | ||
0.320011 | + | 0.947414i | ||||||||
−3.16019 | − | 0.114996i | −0.192323 | − | 0.00699842i | |||||
21.3325i | 1.29586i | 0.761702 | + | 0.647928i | ||||||
−0.761702 | + | 0.647928i | ||||||||
7.75680 | + | 10.6658i | 0.470325 | + | 0.646709i | |||||
12.7667 | + | 12.7667i | 0.772674 | + | 0.772674i | |||||
−13.7055 | − | 6.31637i | −0.827979 | − | 0.381586i | |||||
0.131048 | + | 23.5713i | 0.00790249 | + | 1.42141i | |||||
8.32124 | + | 0.652933i | 0.500880 | + | 0.0393019i | |||||
− | 19.0041i | − | 1.14184i | −0.821004 | − | 0.570922i | ||||
0.821004 | − | 0.570922i | ||||||||
2.37959 | − | 5.16331i | 0.142718 | − | 0.309675i | |||||
− | 2.62300i | − | 0.157035i | |||||||
2.12897 | − | 18.4833i | 0.127230 | − | 1.10459i | |||||
3.86317i | 0.230457i | 0.993339 | + | 0.115229i | ||||||
−0.993339 | + | 0.115229i | ||||||||
15.7257 | + | 7.24743i | 0.936454 | + | 0.431578i | |||||
− | 5.89151i | − | 0.350214i | −0.984549 | − | 0.175107i | ||||
0.984549 | − | 0.175107i | ||||||||
3.90583 | − | 3.33748i | 0.231769 | − | 0.198043i | |||||
1.01643 | + | 2.43472i | 0.0602081 | + | 0.144220i | |||||
−17.1265 | + | 37.1616i | −1.01271 | + | 2.19741i | |||||
22.6473 | + | 22.6473i | 1.33683 | + | 1.33683i | |||||
1.10685 | + | 5.54751i | 0.0652218 | + | 0.326890i | |||||
6.12955i | 0.360562i | |||||||||
1.88711 | − | 1.75459i | 0.110815 | − | 0.103033i | |||||
11.9985 | − | 11.9985i | 0.703364 | − | 0.703364i | |||||
1.62629 | − | 20.7262i | 0.0951716 | − | 1.21291i | |||||
−4.49132 | −0.262386 | −0.131193 | − | 0.991357i | ||||||
−0.131193 | + | 0.991357i | ||||||||
0.809919 | + | 2.19459i | 0.0472354 | + | 0.127991i | |||||
6.78780 | − | 2.83373i | 0.395201 | − | 0.164986i | |||||
5.11697 | + | 2.86327i | 0.297418 | + | 0.166424i | |||||
3.33354 | + | 3.33354i | 0.193432 | + | 0.193432i | |||||
−5.81764 | − | 2.68114i | −0.337007 | − | 0.155314i | |||||
18.1116 | − | 18.1116i | 1.04742 | − | 1.04742i | |||||
9.97355 | + | 0.726816i | 0.575823 | + | 0.0419627i | |||||
−10.7355 | − | 10.7355i | −0.618781 | − | 0.618781i | |||||
−11.7121 | + | 4.32240i | −0.673958 | + | 0.248726i | |||||
−6.69380 | + | 6.69380i | −0.384549 | + | 0.384549i | |||||
3.81698 | − | 2.77593i | 0.218919 | − | 0.159211i | |||||
−8.80197 | − | 21.0839i | −0.503999 | − | 1.20726i | |||||
1.95159 | − | 4.23464i | 0.111565 | − | 0.242078i | |||||
− | 3.84487i | − | 0.219438i | −0.993963 | − | 0.109719i | ||||
0.993963 | − | 0.109719i | ||||||||
−21.0873 | + | 18.0188i | −1.20156 | + | 1.02672i | |||||
−13.4242 | − | 13.4242i | −0.763674 | − | 0.763674i | |||||
−0.301634 | + | 8.28918i | −0.0171317 | + | 0.470794i | |||||
−4.07103 | −0.230847 | −0.115423 | − | 0.993316i | ||||||
−0.115423 | + | 0.993316i | ||||||||
15.1487 | + | 8.47667i | 0.857626 | + | 0.479897i | |||||
−1.37922 | + | 1.37922i | −0.0779584 | + | 0.0779584i | −0.745011 | − | 0.667052i | ||
0.667052 | + | 0.745011i | ||||||||
−20.5892 | + | 7.59850i | −1.16192 | + | 0.428808i | |||||
−6.07029 | + | 2.53419i | −0.342022 | + | 0.142785i | |||||
−11.7476 | + | 10.0382i | −0.660855 | + | 0.564692i | |||||
9.80915 | 0.550937 | 0.275468 | − | 0.961310i | ||||||
0.275468 | + | 0.961310i | ||||||||
2.10276 | − | 0.776029i | 0.117917 | − | 0.0435176i | |||||
−3.84148 | −0.215081 | |||||||||
−2.85991 | − | 17.6585i | −0.159874 | − | 0.987137i | |||||
−10.9567 | −0.611543 | |||||||||
16.2888 | − | 6.01144i | 0.907741 | − | 0.335004i | |||||
−3.89021 | −0.216457 | |||||||||
1.52051 | − | 1.29925i | 0.0844726 | − | 0.0721807i | |||||
21.5778 | − | 21.8191i | 1.19692 | − | 1.21031i | |||||
−11.4793 | + | 4.23646i | −0.635779 | + | 0.234636i | |||||
0.643941 | − | 0.643941i | 0.0356100 | − | 0.0356100i | |||||
26.8729 | + | 15.0371i | 1.48380 | + | 0.830285i | |||||
36.0188 | 1.98578 | |||||||||
−10.1513 | − | 10.9180i | −0.558809 | − | 0.601014i | |||||
−7.17235 | − | 7.17235i | −0.394228 | − | 0.394228i | 0.481963 | − | 0.876191i | ||
−0.876191 | + | 0.481963i | ||||||||
−13.1937 | + | 11.2738i | −0.724096 | + | 0.618730i | |||||
− | 2.07309i | − | 0.113605i | |||||||
−2.39925 | + | 5.20599i | −0.131281 | + | 0.284859i | |||||
−0.752681 | + | 1.83152i | −0.0411234 | + | 0.100066i | |||||
6.92102 | + | 9.51658i | 0.377573 | + | 0.519172i | |||||
−25.3587 | + | 25.3587i | −1.38138 | + | 1.38138i | −0.539200 | + | 0.842178i | ||
−0.842178 | + | 0.539200i | ||||||||
32.7270 | − | 12.0780i | 1.78011 | − | 0.656955i | |||||
9.19571 | + | 9.19571i | 0.499442 | + | 0.499442i | |||||
−6.65436 | + | 13.1578i | −0.360884 | + | 0.713583i | |||||
8.74390 | − | 8.74390i | 0.473509 | − | 0.473509i | |||||
−1.51545 | − | 0.698418i | −0.0819463 | − | 0.0377661i | |||||
−11.1203 | − | 11.1203i | −0.600439 | − | 0.600439i | |||||
−12.7385 | − | 7.12801i | −0.686814 | − | 0.384317i | |||||
3.59517 | + | 8.61171i | 0.193557 | + | 0.463639i | |||||
−7.40053 | − | 20.0528i | −0.397855 | − | 1.07804i | |||||
−8.80549 | −0.472704 | −0.236352 | − | 0.971668i | ||||||
−0.236352 | + | 0.971668i | ||||||||
−0.127484 | + | 1.62470i | −0.00683384 | + | 0.0870933i | |||||
−14.8110 | + | 14.8110i | −0.792815 | + | 0.792815i | −0.981951 | − | 0.189136i | ||
0.189136 | + | 0.981951i | ||||||||
19.4747 | − | 7.31045i | 1.04097 | − | 0.390760i | |||||
− | 6.13735i | − | 0.327588i | |||||||
−14.8031 | + | 22.1826i | −0.789010 | + | 1.18234i | |||||
−21.3226 | − | 21.3226i | −1.13489 | − | 1.13489i | −0.989353 | − | 0.145536i | ||
−0.145536 | − | 0.989353i | ||||||||
−1.94714 | + | 4.22497i | −0.103489 | + | 0.224555i | |||||
5.31280 | + | 2.18335i | 0.281974 | + | 0.115880i | |||||
−13.2374 | + | 11.3112i | −0.701580 | + | 0.599490i | |||||
− | 9.69918i | − | 0.513335i | |||||||
22.4625 | + | 10.3522i | 1.18718 | + | 0.547130i | |||||
− | 9.38977i | − | 0.495573i | −0.968815 | − | 0.247787i | ||||
0.968815 | − | 0.247787i | ||||||||
−4.95449 | + | 3.93103i | −0.261125 | + | 0.207183i | |||||
− | 17.6078i | − | 0.926727i | |||||||
8.02778 | − | 17.4190i | 0.421931 | − | 0.915521i | |||||
11.2250i | 0.589161i | |||||||||
35.9989 | + | 2.82468i | 1.88686 | + | 0.148054i | |||||
21.4496 | − | 8.95467i | 1.12273 | − | 0.468709i | |||||
13.1234 | + | 6.04809i | 0.685969 | + | 0.316138i | |||||
−0.129655 | − | 0.129655i | −0.00676792 | − | 0.00676792i | 0.703715 | − | 0.710483i | ||
−0.710483 | + | 0.703715i | ||||||||
13.5008 | − | 9.81861i | 0.703780 | − | 0.511830i | |||||
− | 10.8873i | − | 0.566770i | |||||||
−0.238397 | + | 6.55136i | −0.0123937 | + | 0.340589i | |||||
3.29684 | − | 3.29684i | 0.171164 | − | 0.171164i | |||||
−3.40795 | − | 3.98830i | −0.176694 | − | 0.206784i | |||||
−2.85797 | −0.147980 | −0.0739900 | − | 0.997259i | ||||||
−0.0739900 | + | 0.997259i | ||||||||
20.6221 | − | 7.61063i | 1.06634 | − | 0.393536i | |||||
4.36452 | + | 10.2932i | 0.225383 | + | 0.531541i | |||||
33.3274 | − | 9.41194i | 1.71873 | − | 0.485384i | |||||
3.53625 | + | 3.53625i | 0.182126 | + | 0.182126i | |||||
1.74131 | − | 3.77837i | 0.0895635 | − | 0.194338i | |||||
−14.8095 | + | 14.8095i | −0.760713 | + | 0.760713i | −0.976451 | − | 0.215739i | ||
0.215739 | + | 0.976451i | ||||||||
4.70880 | + | 2.38140i | 0.241556 | + | 0.122163i | |||||
4.80716 | + | 4.80716i | 0.246278 | + | 0.246278i | |||||
7.10191 | + | 19.2436i | 0.363365 | + | 0.984589i | |||||
−22.2921 | + | 22.2921i | −1.13907 | + | 1.13907i | −0.150458 | + | 0.988616i | ||
−0.988616 | + | 0.150458i | ||||||||
8.89059 | + | 6.99695i | 0.453696 | + | 0.357062i | |||||
−28.6834 | − | 11.7878i | −1.46184 | − | 0.600759i | |||||
3.05431 | + | 1.40762i | 0.155460 | + | 0.0716461i | |||||
5.16088i | 0.262342i | |||||||||
2.65472 | − | 33.8328i | 0.134773 | − | 1.71760i | |||||
17.1132 | + | 17.1132i | 0.867671 | + | 0.867671i | 0.992214 | − | 0.124543i | ||
−0.124543 | + | 0.992214i | ||||||||
−0.705769 | + | 19.3952i | −0.0357380 | + | 0.982113i | |||||
−13.7599 | −0.695867 | |||||||||
4.08281 | + | 2.28460i | 0.206213 | + | 0.115390i | |||||
−3.53632 | + | 3.53632i | −0.178384 | + | 0.178384i | |||||
4.23597 | + | 11.4780i | 0.213405 | + | 0.578251i | |||||
−15.9794 | − | 6.56689i | −0.804009 | − | 0.330416i | |||||
9.39979 | + | 0.737562i | 0.472357 | + | 0.0370639i | |||||
16.2806 | 0.817099 | 0.408549 | − | 0.912736i | ||||||
0.408549 | + | 0.912736i | ||||||||
−10.9324 | − | 29.6229i | −0.547992 | − | 1.48486i | |||||
−3.47105 | −0.173770 | |||||||||
16.1092 | − | 11.8530i | 0.805459 | − | 0.592652i | |||||
5.13860 | 0.256609 | 0.128305 | − | 0.991735i | ||||||
0.128305 | + | 0.991735i | ||||||||
−0.433599 | − | 1.17490i | −0.0216260 | − | 0.0585986i | |||||
−16.0983 | −0.801914 | |||||||||
−1.48103 | + | 18.8749i | −0.0736842 | + | 0.939062i | |||||
2.06823 | + | 0.849960i | 0.102771 | + | 0.0422349i | |||||
1.17372 | + | 3.18036i | 0.0582507 | + | 0.157839i | |||||
6.91074 | − | 6.91074i | 0.342553 | − | 0.342553i | |||||
−2.53445 | − | 8.97441i | −0.125474 | − | 0.444300i | |||||
−3.88999 | −0.192348 | −0.0961738 | − | 0.995365i | ||||||
−0.0961738 | + | 0.995365i | ||||||||
−1.25199 | + | 34.4059i | −0.0618315 | + | 1.69918i | |||||
7.54548 | + | 7.54548i | 0.372191 | + | 0.372191i | |||||
−37.8529 | − | 2.97016i | −1.86488 | − | 0.146329i | |||||
9.67703i | 0.476176i | |||||||||
−5.36024 | − | 2.47034i | −0.263441 | − | 0.121411i | |||||
−17.9463 | − | 7.37522i | −0.880949 | − | 0.362035i | |||||
34.0470 | − | 6.79313i | 1.66929 | − | 0.333061i | |||||
−2.84263 | + | 2.84263i | −0.139204 | + | 0.139204i | |||||
−2.72362 | − | 7.38004i | −0.133217 | − | 0.360969i | |||||
−9.68913 | − | 9.68913i | −0.473345 | − | 0.473345i | 0.429650 | − | 0.902995i | ||
−0.902995 | + | 0.429650i | ||||||||
−5.93737 | + | 11.7401i | −0.289714 | + | 0.572858i | |||||
−19.2867 | + | 19.2867i | −0.939978 | + | 0.939978i | −0.998298 | − | 0.0583197i | ||
0.0583197 | + | 0.998298i | ||||||||
−4.41668 | + | 9.58348i | −0.215001 | + | 0.466516i | |||||
−8.65772 | − | 8.65772i | −0.420953 | − | 0.420953i | |||||
2.18900 | − | 3.91198i | 0.106307 | − | 0.189982i | |||||
−16.4849 | + | 0.0916501i | −0.799636 | + | 0.00444568i | |||||
−3.40810 | + | 1.25777i | −0.165123 | + | 0.0609391i | |||||
30.0582 | 1.45462 | |||||||||
−16.6597 | + | 14.2355i | −0.805279 | + | 0.688100i | |||||
20.4591 | − | 20.4591i | 0.987776 | − | 0.987776i | |||||
0.593480 | − | 16.3094i | 0.0286201 | − | 0.786507i | |||||
4.13031i | 0.198950i | 0.995040 | + | 0.0994751i | ||||||
−0.995040 | + | 0.0994751i | ||||||||
0.623885 | − | 3.95105i | 0.0300167 | − | 0.190095i | |||||
13.3312 | + | 13.3312i | 0.640655 | + | 0.640655i | 0.950716 | − | 0.310062i | ||
−0.310062 | + | 0.950716i | ||||||||
−9.91067 | − | 4.56747i | −0.475728 | − | 0.219246i | |||||
−1.68142 | + | 0.701948i | −0.0806178 | + | 0.0336558i | |||||
0.142475 | − | 1.81576i | 0.00682331 | − | 0.0869591i | |||||
4.92426i | 0.235559i | |||||||||
−6.15301 | + | 13.3510i | −0.294002 | + | 0.637937i | |||||
− | 22.0770i | − | 1.05368i | −0.849965 | − | 0.526839i | ||||
0.849965 | − | 0.526839i | ||||||||
−29.6203 | − | 3.41177i | −1.41209 | − | 0.162650i | |||||
− | 1.65411i | − | 0.0787673i | |||||||
−25.9895 | − | 11.9776i | −1.23619 | − | 0.569717i | |||||
8.44869i | 0.401409i | 0.979652 | + | 0.200705i | ||||||
−0.979652 | + | 0.200705i | ||||||||
−2.69347 | − | 3.15215i | −0.127826 | − | 0.149594i | |||||
−18.0058 | − | 7.39967i | −0.853556 | − | 0.350778i | |||||
−11.5690 | + | 25.1028i | −0.547807 | + | 1.18865i | |||||
3.20287 | + | 3.20287i | 0.151491 | + | 0.151491i | |||||
22.8879 | + | 5.47787i | 1.08135 | + | 0.258805i | |||||
− | 12.3249i | − | 0.581648i | −0.956777 | − | 0.290824i | ||||
0.956777 | − | 0.290824i | ||||||||
−6.43824 | − | 2.92387i | −0.303502 | − | 0.137833i | |||||
36.2932 | − | 36.2932i | 1.70898 | − | 1.70898i | |||||
25.9297 | + | 2.03459i | 1.21963 | + | 0.0956992i | |||||
8.82773 | 0.414763 | |||||||||
−0.814200 | − | 2.20619i | −0.0382123 | − | 0.103542i | |||||
15.5532 | + | 37.2555i | 0.729146 | + | 1.74657i | |||||
−3.21168 | + | 0.907007i | −0.150401 | + | 0.0424745i | |||||
10.5838 | + | 10.5838i | 0.495089 | + | 0.495089i | 0.909905 | − | 0.414816i | ||
−0.414816 | + | 0.909905i | ||||||||
−20.6603 | − | 9.52161i | −0.965394 | − | 0.444916i | |||||
−2.33136 | + | 2.33136i | −0.108818 | + | 0.108818i | |||||
16.6553 | + | 8.42314i | 0.776556 | + | 0.392731i | |||||
−6.77081 | − | 6.77081i | −0.315348 | − | 0.315348i | 0.531629 | − | 0.846977i | ||
−0.846977 | + | 0.531629i | ||||||||
18.4001 | − | 6.79060i | 0.856050 | − | 0.315927i | |||||
−11.3573 | + | 11.3573i | −0.527819 | + | 0.527819i | −0.919921 | − | 0.392103i | ||
0.392103 | + | 0.919921i | ||||||||
1.91706 | + | 2.63601i | 0.0889973 | + | 0.122374i | |||||
2.22945 | − | 5.42497i | 0.103388 | − | 0.251577i | |||||
−7.86023 | + | 17.0554i | −0.364118 | + | 0.790077i | |||||
− | 3.11578i | − | 0.144181i | −0.997398 | − | 0.0720906i | ||||
0.997398 | − | 0.0720906i | ||||||||
−7.97397 | − | 9.33189i | −0.368597 | − | 0.431367i | |||||
−1.84208 | − | 1.84208i | −0.0850594 | − | 0.0850594i | |||||
26.3644 | + | 28.3556i | 1.21610 | + | 1.30795i | |||||
15.5186 | 0.715058 | |||||||||
2.52867 | + | 8.95392i | 0.116391 | + | 0.412138i | |||||
−17.2040 | + | 17.2040i | −0.791042 | + | 0.791042i | |||||
10.2506 | − | 3.78301i | 0.470825 | − | 0.173759i | |||||
0.0327989 | + | 5.89947i | 0.00150492 | + | 0.270686i | |||||
−12.6017 | − | 14.7477i | −0.577597 | − | 0.675958i | |||||
−1.58490 | −0.0725676 | |||||||||
−11.7936 | + | 4.35247i | −0.539428 | + | 0.199077i | |||||
−15.3508 | −0.701396 | −0.350698 | − | 0.936489i | ||||||
−0.350698 | + | 0.936489i | ||||||||
−2.42595 | + | 12.4143i | −0.110729 | + | 0.566633i | |||||
−12.7233 | −0.580132 | |||||||||
−27.3281 | + | 10.0855i | −1.24476 | + | 0.459382i | |||||
−12.2773 | −0.558636 | |||||||||
14.5841 | + | 17.0677i | 0.662915 | + | 0.775805i | |||||
35.0138 | − | 14.6174i | 1.58990 | − | 0.663740i | |||||
−1.32675 | + | 0.489639i | −0.0601824 | + | 0.0222105i | |||||
8.51351 | − | 8.51351i | 0.385784 | − | 0.385784i | −0.487397 | − | 0.873181i | ||
0.873181 | + | 0.487397i | ||||||||
27.8122 | − | 7.85440i | 1.25900 | − | 0.355552i | |||||
8.65221 | 0.391267 | |||||||||
−0.190216 | + | 5.22731i | −0.00859309 | + | 0.236146i | |||||
−6.16348 | − | 6.16348i | −0.278154 | − | 0.278154i | 0.554218 | − | 0.832372i | ||
−0.832372 | + | 0.554218i | ||||||||
−14.1453 | − | 16.5542i | −0.637721 | − | 0.746321i | |||||
− | 2.68659i | − | 0.120998i | |||||||
−4.28644 | + | 9.30087i | −0.192856 | + | 0.418466i | |||||
4.06115 | + | 9.72791i | 0.182535 | + | 0.437237i | |||||
−10.3636 | − | 1.63645i | −0.465340 | − | 0.0734789i | |||||
−5.34345 | + | 5.34345i | −0.239686 | + | 0.239686i | |||||
11.5124 | − | 4.24867i | 0.515881 | − | 0.190387i | |||||
−16.1961 | − | 16.1961i | −0.725037 | − | 0.725037i | 0.244589 | − | 0.969627i | ||
−0.969627 | + | 0.244589i | ||||||||
20.0098 | + | 9.98034i | 0.894866 | + | 0.446335i | |||||
2.86613 | − | 2.86613i | 0.128049 | − | 0.128049i | |||||
−30.5979 | − | 14.1015i | −1.36565 | − | 0.629379i | |||||
8.39462 | + | 8.39462i | 0.374298 | + | 0.374298i | 0.869040 | − | 0.494742i | ||
−0.494742 | + | 0.869040i | ||||||||
−2.26137 | − | 8.00744i | −0.100730 | − | 0.356680i | |||||
−19.5338 | + | 8.15485i | −0.869242 | + | 0.362886i | |||||
−9.63359 | − | 26.1036i | −0.428265 | − | 1.16044i | |||||
−24.6671 | −1.09550 | |||||||||
13.5550 | + | 1.06361i | 0.601408 | + | 0.0471899i | |||||
5.50555 | − | 5.50555i | 0.244029 | − | 0.244029i | −0.574486 | − | 0.818515i | ||
0.818515 | + | 0.574486i | ||||||||
7.63562 | − | 7.09942i | 0.338111 | − | 0.314368i | |||||
30.5797i | 1.35277i | |||||||||
22.6090 | − | 0.912208i | 0.999187 | − | 0.0403143i | |||||
0.834324 | + | 0.834324i | 0.0368363 | + | 0.0368363i | |||||
11.8451 | − | 25.7018i | 0.522463 | − | 1.13366i | |||||
−16.3542 | − | 39.1742i | −0.720653 | − | 1.72622i | |||||
6.70529 | + | 7.84716i | 0.295184 | + | 0.345452i | |||||
− | 57.7217i | − | 2.53860i | |||||||
−7.83290 | − | 3.60990i | −0.344158 | − | 0.158610i | |||||
15.1143i | 0.663442i | |||||||||
24.1261 | + | 30.4075i | 1.05800 | + | 1.33346i | |||||
− | 39.2289i | − | 1.71865i | −0.511430 | − | 0.859325i | ||||
0.511430 | − | 0.859325i | ||||||||
0.482328 | − | 1.04657i | 0.0211109 | − | 0.0458073i | |||||
16.7434i | 0.732137i | 0.930588 | + | 0.366068i | ||||||
−0.930588 | + | 0.366068i | ||||||||
−0.782428 | + | 9.97158i | −0.0341805 | + | 0.435611i | |||||
−14.7087 | + | 0.0817750i | −0.641941 | + | 0.00356895i | |||||
−20.1989 | − | 9.30894i | −0.880713 | − | 0.405889i | |||||
6.11516 | + | 6.11516i | 0.266381 | + | 0.266381i | |||||
15.2507 | − | 11.0912i | 0.663703 | − | 0.482684i | |||||
− | 5.58265i | − | 0.242724i | |||||||
5.00858 | + | 0.182257i | 0.217559 | + | 0.00791673i | |||||
2.32603 | − | 2.32603i | 0.100941 | − | 0.100941i | |||||
−5.27776 | + | 4.50977i | −0.228820 | + | 0.195524i | |||||
−66.8191 | −2.89426 | |||||||||
11.5505 | − | 4.26275i | 0.499839 | − | 0.184467i | |||||
−22.6610 | − | 9.31276i | −0.979719 | − | 0.402626i | |||||
−2.18578 | − | 1.22309i | −0.0944113 | − | 0.0528293i | |||||
−12.3666 | − | 12.3666i | −0.533659 | − | 0.533659i | |||||
8.61398 | − | 18.6909i | 0.371375 | − | 0.805823i | |||||
5.51406 | − | 5.51406i | 0.237507 | − | 0.237507i | |||||
4.24907 | − | 1.39478i | 0.182851 | − | 0.0600218i | |||||
3.45427 | + | 3.45427i | 0.148511 | + | 0.148511i | 0.777452 | − | 0.628942i | ||
−0.628942 | + | 0.777452i | ||||||||
−10.4452 | − | 28.3028i | −0.448660 | − | 1.21571i | |||||
−9.58991 | + | 9.58991i | −0.411543 | + | 0.411543i | |||||
−15.5137 | − | 10.3528i | −0.665144 | − | 0.443871i | |||||
1.87914 | − | 0.784493i | 0.0804936 | − | 0.0336040i | |||||
−23.1892 | − | 10.6871i | −0.992405 | − | 0.457364i | |||||
18.1175i | 0.774647i | 0.921944 | + | 0.387324i | ||||||
−0.921944 | + | 0.387324i | ||||||||
21.2764 | + | 1.66947i | 0.908885 | + | 0.0713163i | |||||
−7.22499 | − | 7.22499i | −0.308355 | − | 0.308355i | |||||
−11.7153 | − | 31.2090i | −0.499543 | − | 1.33076i | |||||
−0.961451 | −0.0409592 | |||||||||
−11.3599 | + | 3.20813i | −0.483508 | + | 0.136547i | |||||
16.0715 | − | 16.0715i | 0.683431 | − | 0.683431i | |||||
9.30514 | + | 25.2136i | 0.395337 | + | 1.07122i | |||||
1.76205 | − | 4.28763i | 0.0747947 | − | 0.182000i | |||||
−0.628946 | + | 8.01554i | −0.0266732 | + | 0.339935i | |||||
21.1776 | 0.897324 | 0.448662 | − | 0.893701i | ||||||
0.448662 | + | 0.893701i | ||||||||
1.28433 | + | 3.48006i | 0.0543698 | + | 0.147323i | |||||
31.6742 | 1.33967 | |||||||||
6.22554 | + | 25.5651i | 0.263077 | + | 1.08032i | |||||
−15.5434 | −0.656241 | |||||||||
−1.89156 | − | 5.12544i | −0.0797905 | − | 0.216204i | |||||
44.5712 | 1.87845 | 0.939226 | − | 0.343298i | ||||||
0.939226 | + | 0.343298i | ||||||||
−24.4127 | − | 1.91556i | −1.02796 | − | 0.0806596i | |||||
11.2028 | + | 26.8348i | 0.471307 | + | 1.12895i | |||||
2.88471 | + | 7.81653i | 0.121253 | + | 0.328553i | |||||
−2.08016 | + | 2.08016i | −0.0873584 | + | 0.0873584i | |||||
−3.54788 | + | 6.34044i | −0.148866 | + | 0.266039i | |||||
−5.14194 | −0.215562 | −0.107781 | − | 0.994175i | ||||||
−0.107781 | + | 0.994175i | ||||||||
−2.54068 | − | 2.73256i | −0.106417 | − | 0.114454i | |||||
−17.4873 | − | 17.4873i | −0.731820 | − | 0.731820i | 0.239160 | − | 0.970980i | ||
−0.970980 | + | 0.239160i | ||||||||
4.52668 | − | 57.6898i | 0.189270 | − | 2.41213i | |||||
− | 14.5044i | − | 0.605929i | |||||||
−41.1362 | − | 18.9582i | −1.71699 | − | 0.791299i | |||||
0.116011 | + | 20.8667i | 0.00483801 | + | 0.870203i | |||||
−4.18479 | − | 6.81818i | −0.174366 | − | 0.284091i | |||||
−2.82131 | + | 2.82131i | −0.117453 | + | 0.117453i | −0.763390 | − | 0.645938i | ||
0.645938 | + | 0.763390i | ||||||||
−3.00127 | − | 8.13236i | −0.124836 | − | 0.338261i | |||||
−1.68153 | − | 1.68153i | −0.0698822 | − | 0.0698822i | |||||
−1.64460 | + | 3.25190i | −0.0682883 | + | 0.135028i | |||||
18.0498 | − | 18.0498i | 0.748833 | − | 0.748833i | |||||
−10.0440 | + | 21.7939i | −0.416338 | + | 0.903385i | |||||
−5.28334 | − | 5.28334i | −0.218813 | − | 0.218813i | |||||
7.99066 | + | 28.2946i | 0.330656 | + | 1.17084i | |||||
5.21651 | − | 12.6934i | 0.215676 | − | 0.524809i | |||||
5.95884 | − | 2.19913i | 0.246158 | − | 0.0908451i | |||||
−45.9941 | −1.89838 | −0.949191 | − | 0.314702i | ||||||
−0.949191 | + | 0.314702i | ||||||||
−2.14911 | − | 2.51509i | −0.0886279 | − | 0.103721i | |||||
2.18844 | − | 2.18844i | 0.0901729 | − | 0.0901729i | |||||
−7.61818 | + | 7.08321i | −0.313636 | + | 0.291611i | |||||
− | 8.65121i | − | 0.355863i | |||||||
−8.19088 | − | 1.29337i | −0.336643 | − | 0.0531572i | |||||
−7.77054 | − | 7.77054i | −0.319098 | − | 0.319098i | 0.529323 | − | 0.848421i | ||
−0.848421 | + | 0.529323i | ||||||||
−6.05500 | − | 2.79053i | −0.248439 | − | 0.114497i | |||||
8.24392 | − | 20.0601i | 0.337968 | − | 0.822385i | |||||
9.03132 | + | 0.708650i | 0.369937 | + | 0.0290274i | |||||
22.3275i | 0.913804i | |||||||||
−15.1613 | + | 32.8977i | −0.619994 | + | 1.34529i | |||||
16.1877i | 0.661413i | 0.943734 | + | 0.330707i | ||||||
−0.943734 | + | 0.330707i | ||||||||
−13.5882 | + | 3.91914i | −0.554738 | + | 0.159998i | |||||
− | 14.1986i | − | 0.579174i | −0.957152 | − | 0.289587i | ||||
0.957152 | − | 0.289587i | ||||||||
19.4997 | + | 8.98672i | 0.794749 | + | 0.366271i | |||||
0.885549i | 0.0360623i | |||||||||
13.4226 | − | 11.4694i | 0.546159 | − | 0.466685i | |||||
−9.54082 | + | 23.2159i | −0.387889 | + | 0.943860i | |||||
5.60343 | − | 12.1585i | 0.227624 | − | 0.493906i | |||||
22.9646 | + | 22.9646i | 0.932105 | + | 0.932105i | 0.997837 | − | 0.0657320i | ||
−0.0657320 | + | 0.997837i | ||||||||
−3.70495 | + | 5.55190i | −0.150256 | + | 0.225159i | |||||
− | 2.39711i | − | 0.0971359i | |||||||
22.0015 | + | 23.6632i | 0.890813 | + | 0.958093i | |||||
−53.1355 | + | 53.1355i | −2.14963 | + | 2.14963i | |||||
−0.515823 | + | 6.57387i | −0.0208509 | + | 0.265733i | |||||
37.1155 | 1.49908 | 0.749541 | − | 0.661958i | ||||||
0.749541 | + | 0.661958i | ||||||||
1.88260 | + | 5.10116i | 0.0759754 | + | 0.205866i | |||||
9.25376 | − | 22.5174i | 0.373148 | − | 0.907989i | |||||
19.1548 | − | 34.2315i | 0.771767 | − | 1.37923i | |||||
−1.45005 | − | 1.45005i | −0.0583767 | − | 0.0583767i | 0.677316 | − | 0.735692i | ||
−0.735692 | + | 0.677316i | ||||||||
24.3834 | + | 11.2375i | 0.980846 | + | 0.452037i | |||||
13.2111 | − | 13.2111i | 0.530998 | − | 0.530998i | −0.389872 | − | 0.920869i | ||
0.920869 | + | 0.389872i | ||||||||
−3.65852 | − | 11.1453i | −0.146930 | − | 0.447607i | |||||
2.95105 | + | 2.95105i | 0.118421 | + | 0.118421i | |||||
5.40122 | − | 1.99333i | 0.216569 | − | 0.0799254i | |||||
18.1096 | − | 18.1096i | 0.725548 | − | 0.725548i | |||||
−24.2490 | − | 3.82900i | −0.970735 | − | 0.153283i | |||||
0.277973 | + | 24.9985i | 0.0111189 | + | 0.999938i | |||||
1.15456 | − | 2.50520i | 0.0461454 | − | 0.100128i | |||||
5.56251i | 0.222145i | |||||||||
23.5961 | − | 20.1625i | 0.941587 | − | 0.804573i | |||||
4.83312 | + | 4.83312i | 0.192709 | + | 0.192709i | |||||
6.81290 | − | 6.33448i | 0.271432 | − | 0.252372i | |||||
11.6636 | 0.464322 | 0.232161 | − | 0.972677i | ||||||
0.232161 | + | 0.972677i | ||||||||
10.6710 | − | 19.0702i | 0.424470 | − | 0.758572i | |||||
5.27613 | − | 5.27613i | 0.209707 | − | 0.209707i | |||||
−13.0143 | + | 4.80294i | −0.516862 | + | 0.190749i | |||||
5.85641 | + | 14.0282i | 0.232405 | + | 0.556692i | |||||
−2.40985 | + | 2.05919i | −0.0955569 | + | 0.0816521i | |||||
−10.1519 | −0.402232 | |||||||||
5.09666 | − | 1.88094i | 0.201779 | − | 0.0744670i | |||||
2.56877 | 0.101619 | |||||||||
12.4406 | + | 22.0279i | 0.491760 | + | 0.870731i | |||||
−20.8880 | −0.825025 | −0.412512 | − | 0.910952i | ||||||
−0.412512 | + | 0.910952i | ||||||||
14.5368 | − | 5.36483i | 0.573720 | − | 0.211733i | |||||
−36.6130 | −1.44388 | −0.721939 | − | 0.691957i | ||||||
−0.721939 | + | 0.691957i | ||||||||
−18.6677 | + | 15.9513i | −0.735611 | + | 0.628569i | |||||
−4.38655 | + | 10.6739i | −0.172720 | + | 0.420284i | |||||
5.16132 | − | 1.90480i | 0.203070 | − | 0.0749434i | |||||
23.8735 | − | 23.8735i | 0.938562 | − | 0.938562i | −0.0596566 | − | 0.998219i | ||
0.998219 | + | 0.0596566i | ||||||||
−1.38116 | + | 2.46828i | −0.0542571 | + | 0.0969631i | |||||
15.5079 | 0.608737 | |||||||||
−17.9448 | + | 39.5138i | −0.703854 | + | 1.54986i | |||||
5.45626 | + | 5.45626i | 0.213848 | + | 0.213848i | |||||
13.1558 | − | 11.2414i | 0.515219 | − | 0.440248i | |||||
− | 22.3501i | − | 0.874627i | −0.899309 | − | 0.437313i | ||||
0.899309 | − | 0.437313i | ||||||||
−0.539047 | + | 1.16964i | −0.0210784 | + | 0.0457367i | |||||
−10.3197 | + | 4.30819i | −0.403222 | + | 0.168335i | |||||
−43.0162 | − | 6.79241i | −1.67950 | − | 0.265199i | |||||
7.35033 | − | 7.35033i | 0.286764 | − | 0.286764i | |||||
−47.7878 | + | 17.6362i | −1.86296 | + | 0.687532i | |||||
15.9700 | + | 15.9700i | 0.622102 | + | 0.622102i | 0.946068 | − | 0.323967i | ||
−0.323967 | + | 0.946068i | ||||||||
18.8140 | + | 9.51489i | 0.732334 | + | 0.370367i | |||||
−15.1592 | + | 15.1592i | −0.589624 | + | 0.589624i | −0.937530 | − | 0.347906i | ||
0.347906 | + | 0.937530i | ||||||||
13.0277 | + | 6.00402i | 0.506338 | + | 0.233353i | |||||
14.3084 | + | 14.3084i | 0.555691 | + | 0.555691i | |||||
11.9845 | − | 21.4176i | 0.465090 | − | 0.831164i | |||||
−7.17893 | − | 2.95026i | −0.278387 | − | 0.114406i | |||||
1.01507 | + | 2.75047i | 0.0393330 | + | 0.106578i | |||||
−3.40070 | −0.131676 | |||||||||
0.634144 | − | 8.08179i | 0.0245358 | − | 0.312694i | |||||
13.8202 | − | 13.8202i | 0.534320 | − | 0.534320i | |||||
0.101834 | − | 2.79850i | 0.00393420 | − | 0.108115i | |||||
− | 48.1696i | − | 1.85957i | |||||||
−13.8421 | − | 9.23728i | −0.533971 | − | 0.356336i | |||||
15.2524 | + | 15.2524i | 0.587938 | + | 0.587938i | 0.937073 | − | 0.349134i | ||
−0.349134 | + | 0.937073i | ||||||||
21.2280 | − | 46.0612i | 0.817670 | − | 1.77421i | |||||
3.55514 | + | 3.51582i | 0.136837 | + | 0.135324i | |||||
−37.5065 | + | 32.0488i | −1.44256 | + | 1.23265i | |||||
3.95511i | 0.152007i | 0.997108 | + | 0.0760036i | ||||||
−0.997108 | + | 0.0760036i | ||||||||
−16.7029 | − | 7.69779i | −0.641473 | − | 0.295632i | |||||
49.9175i | 1.91566i | |||||||||
2.38606 | − | 20.7153i | 0.0915014 | − | 0.794396i | |||||
1.66286i | 0.0637209i | |||||||||
−7.31957 | + | 15.8823i | −0.280281 | + | 0.608164i | |||||
50.9345i | 1.94895i | 0.224490 | + | 0.974476i | ||||||
−0.224490 | + | 0.974476i | ||||||||
2.35259 | + | 0.184598i | 0.0899537 | + | 0.00705828i | |||||
9.19242 | + | 22.0191i | 0.351224 | + | 0.841308i | |||||
20.1987 | + | 9.30886i | 0.771191 | + | 0.355414i | |||||
11.3744 | + | 11.3744i | 0.433962 | + | 0.433962i | |||||
20.3909 | + | 3.21980i | 0.777395 | + | 0.122754i | |||||
9.72710i | 0.370573i | |||||||||
−8.98650 | − | 9.66521i | −0.342110 | − | 0.367948i | |||||
−13.5869 | + | 13.5869i | −0.516870 | + | 0.516870i | −0.916623 | − | 0.399753i | ||
0.399753 | + | 0.916623i | ||||||||
19.6372 | + | 22.9813i | 0.746496 | + | 0.873619i | |||||
−13.8686 | −0.526824 | |||||||||
11.6826 | − | 4.31151i | 0.443467 | − | 0.163663i | |||||
−8.29534 | + | 3.46309i | −0.314660 | + | 0.131362i | |||||
−0.626380 | − | 2.21799i | −0.0237429 | − | 0.0840727i | |||||
25.3822 | + | 25.3822i | 0.961418 | + | 0.961418i | |||||
12.3984 | − | 26.9025i | 0.469286 | − | 1.01827i | |||||
9.38976 | − | 9.38976i | 0.355153 | − | 0.355153i | |||||
−22.2585 | + | 19.2347i | −0.841291 | + | 0.727002i | |||||
−0.627254 | − | 0.627254i | −0.0236911 | − | 0.0236911i | 0.695162 | − | 0.718853i | ||
−0.718853 | + | 0.695162i | ||||||||
3.00509 | + | 8.14270i | 0.113420 | + | 0.307327i | |||||
1.72963 | − | 1.72963i | 0.0652343 | − | 0.0652343i | |||||
8.77853 | − | 36.6789i | 0.330853 | − | 1.38239i | |||||
−10.5474 | − | 25.2649i | −0.397239 | − | 0.951529i | |||||
38.7301 | + | 17.8493i | 1.45763 | + | 0.671768i | |||||
− | 27.8483i | − | 1.04734i | |||||||
0.514646 | − | 6.55886i | 0.0193416 | − | 0.246497i | |||||
26.7170 | + | 26.7170i | 1.00338 | + | 1.00338i | 0.999994 | + | 0.00338478i | ||
0.00338478 | + | 0.999994i | ||||||||
−8.11779 | − | 0.295398i | −0.304655 | − | 0.0110861i | |||||
−7.72612 | −0.289752 | |||||||||
12.0243 | − | 21.4886i | 0.450628 | − | 0.805318i | |||||
7.74061 | − | 7.74061i | 0.289888 | − | 0.289888i | |||||
4.74910 | + | 12.8683i | 0.177730 | + | 0.481586i | |||||
59.7036 | − | 24.9247i | 2.23279 | − | 0.932131i | |||||
−34.8709 | − | 2.73617i | −1.30319 | − | 0.102256i | |||||
8.88914 | 0.331971 | |||||||||
4.59760 | + | 12.4578i | 0.171581 | + | 0.464922i | |||||
−27.5794 | −1.02854 | −0.514269 | − | 0.857629i | ||||||
−0.514269 | + | 0.857629i | ||||||||
4.64857 | − | 7.64139i | 0.173242 | − | 0.284778i | |||||
55.8488 | 2.07992 | |||||||||
8.62147 | + | 23.3611i | 0.320858 | + | 0.869409i | |||||
20.5978 | 0.766041 | |||||||||
−2.12181 | + | 27.0413i | −0.0788565 | + | 1.00498i | |||||
−4.07418 | + | 0.0226510i | −0.151311 | + | 0.000841235i | |||||
−5.49621 | − | 14.8927i | −0.203983 | − | 0.552721i | |||||
8.11985 | − | 8.11985i | 0.301148 | − | 0.301148i | −0.540315 | − | 0.841463i | ||
0.841463 | + | 0.540315i | ||||||||
−49.1445 | + | 13.8788i | −1.82142 | + | 0.514384i | |||||
1.00000 | 0.0370370 | |||||||||
−24.0737 | + | 22.3831i | −0.891006 | + | 0.828437i | |||||
−12.0319 | − | 12.0319i | −0.445014 | − | 0.445014i | |||||
−20.3727 | − | 1.59856i | −0.752998 | − | 0.0590845i | |||||
12.3271i | 0.455313i | 0.973742 | + | 0.227656i | ||||||
−0.973742 | + | 0.227656i | ||||||||
0.235503 | + | 0.108535i | 0.00869256 | + | 0.00400609i | |||||
1.40593 | − | 3.42109i | 0.0518586 | − | 0.126189i | |||||
−13.1046 | + | 19.6373i | −0.483042 | + | 0.723842i | |||||
−2.95201 | + | 2.95201i | −0.108739 | + | 0.108739i | |||||
5.33084 | + | 14.4447i | 0.196231 | + | 0.531715i | |||||
24.8212 | + | 24.8212i | 0.913062 | + | 0.913062i | 0.996512 | − | 0.0834496i | ||
−0.0834496 | + | 0.996512i | ||||||||
−2.89151 | − | 8.80871i | −0.106294 | − | 0.323815i | |||||
5.12054 | − | 5.12054i | 0.188108 | − | 0.188108i | |||||
−2.75981 | + | 5.98834i | −0.101316 | + | 0.219839i | |||||
−26.8731 | − | 26.8731i | −0.985877 | − | 0.985877i | 0.0140246 | − | 0.999902i | ||
−0.999902 | + | 0.0140246i | ||||||||
6.47430 | + | 3.62279i | 0.237359 | + | 0.132818i | |||||
3.90195 | + | 9.34658i | 0.142957 | + | 0.342432i | |||||
3.79180 | − | 1.39937i | 0.138828 | − | 0.0512347i | |||||
−8.67714 | −0.317480 | |||||||||
−23.6338 | + | 20.1947i | −0.864137 | + | 0.738393i | |||||
22.7917 | − | 22.7917i | 0.832789 | − | 0.832789i | |||||
−10.8306 | − | 11.5195i | −0.395477 | − | 0.420632i | |||||
− | 24.7594i | − | 0.903484i | −0.892149 | − | 0.451742i | ||||
0.892149 | − | 0.451742i | ||||||||
−39.6085 | + | 28.8056i | −1.44437 | + | 1.05043i | |||||
16.8455 | + | 16.8455i | 0.613883 | + | 0.613883i | |||||
−6.42319 | − | 2.96022i | −0.233919 | − | 0.107805i | |||||
18.2578 | + | 7.50322i | 0.664468 | + | 0.273070i | |||||
−0.460244 | + | 5.86555i | −0.0167389 | + | 0.213328i | |||||
35.5014i | 1.29032i | 0.764047 | + | 0.645160i | ||||||
−0.764047 | + | 0.645160i | ||||||||
12.3971 | − | 26.8997i | 0.450284 | − | 0.977042i | |||||
19.6749i | 0.714153i | |||||||||
−7.41341 | − | 0.853903i | −0.268913 | − | 0.0309743i | |||||
− | 19.8569i | − | 0.719812i | −0.932989 | − | 0.359906i | ||||
0.932989 | − | 0.359906i | ||||||||
−8.73165 | − | 4.02411i | −0.316314 | − | 0.145778i | |||||
2.67900i | 0.0969862i | |||||||||
−18.8448 | − | 22.0540i | −0.681782 | − | 0.797886i | |||||
−6.80334 | + | 2.84022i | −0.245975 | + | 0.102688i | |||||
18.6609 | − | 40.4911i | 0.674245 | − | 1.46300i | |||||
−14.2757 | − | 14.2757i | −0.515465 | − | 0.515465i | |||||
−15.2215 | − | 4.93000i | −0.549260 | − | 0.177896i | |||||
− | 37.1951i | − | 1.34129i | −0.741779 | − | 0.670644i | ||||
0.741779 | − | 0.670644i | ||||||||
43.8273 | + | 1.59483i | 1.57943 | + | 0.0574736i | |||||
−14.1500 | + | 14.1500i | −0.509600 | + | 0.509600i | |||||
−4.74152 | − | 0.372047i | −0.170651 | − | 0.0133903i | |||||
13.2454 | 0.476402 | 0.238201 | − | 0.971216i | ||||||
0.238201 | + | 0.971216i | ||||||||
−2.52697 | − | 6.84718i | −0.0908301 | − | 0.246117i | |||||
9.22202 | − | 9.32514i | 0.331265 | − | 0.334969i | |||||
13.0437 | + | 46.1874i | 0.468243 | + | 1.65803i | |||||
4.31236 | + | 4.31236i | 0.154705 | + | 0.154705i | |||||
−31.0841 | − | 14.3255i | −1.11442 | − | 0.513595i | |||||
9.08353 | − | 9.08353i | 0.325451 | − | 0.325451i | |||||
−8.56026 | − | 26.0780i | −0.306506 | − | 0.933743i | |||||
8.56310 | + | 8.56310i | 0.306412 | + | 0.306412i | |||||
18.2559 | − | 6.73738i | 0.652828 | − | 0.240928i | |||||
−0.576185 | + | 0.576185i | −0.0205912 | + | 0.0205912i | |||||
−6.53548 | − | 1.03198i | −0.233410 | − | 0.0368563i | |||||
32.0959 | + | 13.1902i | 1.14555 | + | 0.470777i | |||||
2.96028 | − | 6.42332i | 0.105590 | − | 0.229112i | |||||
12.0292i | 0.428794i | 0.976747 | + | 0.214397i | ||||||
−0.976747 | + | 0.214397i | ||||||||
−11.2401 | − | 13.1542i | −0.400412 | − | 0.468600i | |||||
11.1204 | + | 11.1204i | 0.395896 | + | 0.395896i | |||||
24.4160 | + | 0.888470i | 0.868681 | + | 0.0316104i | |||||
−38.2571 | −1.36026 | |||||||||
−12.8323 | + | 3.62395i | −0.455975 | + | 0.128771i | |||||
−44.3423 | + | 44.3423i | −1.57464 | + | 1.57464i | |||||
−21.6002 | + | 7.97161i | −0.766562 | + | 0.282902i | |||||
−3.27794 | − | 1.34710i | −0.116256 | − | 0.0477768i | |||||
29.0091 | + | 33.9491i | 1.02820 | + | 1.20329i | |||||
−45.2714 | −1.60359 | −0.801797 | − | 0.597597i | ||||||
−0.801797 | + | 0.597597i | ||||||||
4.60520 | − | 1.69956i | 0.163022 | − | 0.0601639i | |||||
40.3685 | 1.42813 | |||||||||
−15.5691 | + | 23.6136i | −0.550450 | + | 0.834868i | |||||
−8.70590 | −0.307608 | |||||||||
−6.81762 | + | 2.51606i | −0.240738 | + | 0.0888451i | |||||
49.0053 | 1.72936 | |||||||||
1.15055 | + | 1.34648i | 0.0405768 | + | 0.0474868i | |||||
−25.3922 | − | 10.4352i | −0.894958 | − | 0.367793i | |||||
21.3584 | − | 7.88236i | 0.752316 | − | 0.277644i | |||||
−10.2902 | + | 10.2902i | −0.362231 | + | 0.362231i | |||||
−7.27694 | − | 25.7674i | −0.256002 | − | 0.906494i | |||||
5.16391 | 0.181553 | 0.0907767 | − | 0.995871i | ||||||
0.0907767 | + | 0.995871i | ||||||||
−3.16019 | − | 0.114996i | −0.111038 | − | 0.00404054i | |||||
15.7171 | + | 15.7171i | 0.551903 | + | 0.551903i | 0.926990 | − | 0.375087i | ||
−0.375087 | + | 0.926990i | ||||||||
−3.11446 | − | 3.64483i | −0.109296 | − | 0.127908i | |||||
21.3325i | 0.748163i | |||||||||
−5.78503 | + | 12.5526i | −0.202765 | + | 0.439967i | |||||
17.8947 | + | 7.35404i | 0.626826 | + | 0.257601i | |||||
7.75680 | + | 10.6658i | 0.271542 | + | 0.373378i | |||||
−4.30585 | + | 4.30585i | −0.150643 | + | 0.150643i | |||||
5.16103 | − | 1.90469i | 0.180451 | − | 0.0665959i | |||||
12.7667 | + | 12.7667i | 0.446103 | + | 0.446103i | |||||
−15.1854 | − | 46.2608i | −0.530296 | − | 1.61550i | |||||
−15.6816 | + | 15.6816i | −0.547293 | + | 0.547293i | −0.925657 | − | 0.378364i | ||
0.378364 | + | 0.925657i | ||||||||
−13.7055 | − | 6.31637i | −0.478034 | − | 0.220309i | |||||
−3.65203 | − | 3.65203i | −0.127302 | − | 0.127302i | 0.640585 | − | 0.767887i | ||
−0.767887 | + | 0.640585i | ||||||||
51.6755 | − | 14.5936i | 1.80020 | − | 0.508393i | |||||
0.131048 | + | 23.5713i | 0.00456251 | + | 0.820649i | |||||
−4.73825 | − | 12.8390i | −0.164865 | − | 0.446725i | |||||
14.0926 | 0.490046 | 0.245023 | − | 0.969517i | ||||||
0.245023 | + | 0.969517i | ||||||||
8.32124 | + | 0.652933i | 0.289183 | + | 0.0226910i | |||||
−12.1216 | + | 12.1216i | −0.421000 | + | 0.421000i | −0.885548 | − | 0.464548i | ||
0.464548 | + | 0.885548i | ||||||||
27.4214 | + | 0.997834i | 0.951810 | + | 0.0346353i | |||||
− | 19.0041i | − | 0.659244i | |||||||
−41.8456 | + | 25.6835i | −1.45073 | + | 0.890415i | |||||
3.85633 | + | 3.85633i | 0.133614 | + | 0.133614i | |||||
2.37959 | − | 5.16331i | 0.0823983 | − | 0.178791i | |||||
8.36390 | − | 3.49171i | 0.289445 | − | 0.120836i | |||||
7.22711 | + | 8.45784i | 0.249955 | + | 0.292520i | |||||
− | 2.62300i | − | 0.0906643i | |||||||
17.5992 | + | 8.11083i | 0.607954 | + | 0.280184i | |||||
− | 14.6206i | − | 0.504759i | −0.967628 | − | 0.252380i | ||||
0.967628 | − | 0.252380i | ||||||||
2.12897 | − | 18.4833i | 0.0734565 | − | 0.637734i | |||||
28.3360i | 0.977104i | |||||||||
16.1451 | − | 35.0321i | 0.556395 | − | 1.20729i | |||||
3.86317i | 0.133054i | |||||||||
1.16737 | − | 14.8774i | 0.0401825 | − | 0.512102i | |||||
−51.0172 | − | 20.9661i | −1.75504 | − | 0.721254i | |||||
15.7257 | + | 7.24743i | 0.540662 | + | 0.249172i | |||||
−23.3498 | − | 23.3498i | −0.802309 | − | 0.802309i | |||||
−0.988796 | + | 6.26202i | −0.0339554 | + | 0.215039i | |||||
− | 5.89151i | − | 0.202196i | |||||||
21.8264 | − | 8.19326i | 0.748640 | − | 0.281026i | |||||
6.11779 | − | 6.11779i | 0.209715 | − | 0.209715i | |||||
3.90583 | − | 3.33748i | 0.133812 | − | 0.114340i | |||||
13.7252 | 0.469940 | 0.234970 | − | 0.972003i | ||||||
0.234970 | + | 0.972003i | ||||||||
−39.8796 | + | 14.7177i | −1.36465 | + | 0.503629i | |||||
1.01643 | + | 2.43472i | 0.0347612 | + | 0.0832655i | |||||
15.1330 | − | 27.0442i | 0.517234 | − | 0.924351i | |||||
18.7921 | + | 18.7921i | 0.641927 | + | 0.641927i | 0.951029 | − | 0.309102i | ||
−0.309102 | + | 0.951029i | ||||||||
−17.1265 | + | 37.1616i | −0.584688 | + | 1.26868i | |||||
23.1774 | − | 23.1774i | 0.790803 | − | 0.790803i | −0.190822 | − | 0.981625i | ||
0.981625 | + | 0.190822i | ||||||||
7.19830 | + | 21.9290i | 0.245460 | + | 0.747771i | |||||
22.6473 | + | 22.6473i | 0.771817 | + | 0.771817i | |||||
−2.02236 | − | 5.47988i | −0.0688820 | − | 0.186645i | |||||
−8.96863 | + | 8.96863i | −0.305296 | + | 0.305296i | −0.843082 | − | 0.537786i | ||
0.537786 | + | 0.843082i | ||||||||
1.10685 | + | 5.54751i | 0.0376558 | + | 0.188730i | |||||
−12.8465 | + | 31.2597i | −0.436795 | + | 1.06286i | |||||
−24.2145 | − | 11.1596i | −0.822843 | − | 0.379219i | |||||
6.12955i | 0.208171i | |||||||||
15.3854 | + | 1.20722i | 0.522213 | + | 0.0409758i | |||||
−25.7553 | − | 25.7553i | −0.873690 | − | 0.873690i | |||||
1.88711 | − | 1.75459i | 0.0639791 | − | 0.0594863i | |||||
5.43492 | 0.184155 | |||||||||
0.700039 | + | 2.47881i | 0.0237063 | + | 0.0839431i | |||||
11.9985 | − | 11.9985i | 0.406087 | − | 0.406087i | |||||
−2.41111 | − | 6.53324i | −0.0815570 | − | 0.220990i | |||||
−30.4905 | − | 12.3327i | −1.03077 | − | 0.416921i | |||||
1.62629 | − | 20.7262i | 0.0549474 | − | 0.700272i | |||||
−47.1944 | −1.59364 | −0.796822 | − | 0.604215i | ||||||
−0.796822 | + | 0.604215i | ||||||||
10.8098 | + | 29.2906i | 0.364812 | + | 0.988510i | |||||
−4.49132 | −0.151489 | |||||||||
40.9691 | − | 9.97669i | 1.38107 | − | 0.336314i | |||||
51.5667 | 1.73733 | 0.868663 | − | 0.495403i | ||||||
0.868663 | + | 0.495403i | ||||||||
0.809919 | + | 2.19459i | 0.0272714 | + | 0.0738956i | |||||
−33.7083 | −1.13438 | −0.567188 | − | 0.823589i | ||||||
−0.567188 | + | 0.823589i | ||||||||
40.3461 | + | 3.16579i | 1.35699 | + | 0.106477i | |||||
6.78780 | − | 2.83373i | 0.228170 | − | 0.0952548i | |||||
−4.13681 | − | 11.2093i | −0.138979 | − | 0.376582i | |||||
4.91204 | − | 4.91204i | 0.164930 | − | 0.164930i | −0.619817 | − | 0.784747i | ||
0.784747 | + | 0.619817i | ||||||||
5.11697 | + | 2.86327i | 0.171714 | + | 0.0960852i | |||||
−19.9993 | −0.670755 | |||||||||
27.5123 | + | 1.00114i | 0.922213 | + | 0.0335583i | |||||
3.33354 | + | 3.33354i | 0.111678 | + | 0.111678i | |||||
3.05778 | − | 38.9696i | 0.102382 | − | 1.30480i | |||||
− | 14.4467i | − | 0.483440i | |||||||
−5.81764 | − | 2.68114i | −0.194571 | − | 0.0896708i | |||||
−15.0659 | − | 36.0881i | −0.503596 | − | 1.20629i | |||||
−33.0486 | + | 3.93907i | −1.10408 | + | 0.131595i | |||||
18.1116 | − | 18.1116i | 0.604729 | − | 0.604729i | |||||
6.03475 | + | 16.3520i | 0.201382 | + | 0.545673i | |||||
1.51134 | + | 1.51134i | 0.0504059 | + | 0.0504059i | |||||
9.97355 | + | 0.726816i | 0.332452 | + | 0.0242272i | |||||
3.69497 | − | 3.69497i | 0.123097 | − | 0.123097i | |||||
−30.3813 | + | 65.9225i | −1.01159 | + | 2.19498i | |||||
−10.7355 | − | 10.7355i | −0.357254 | − | 0.357254i | |||||
−35.3983 | + | 9.99680i | −1.17733 | + | 0.332489i | |||||
−27.9852 | + | 11.6831i | −0.930259 | + | 0.388359i | |||||
−11.7121 | + | 4.32240i | −0.389110 | + | 0.143602i | |||||
−39.4081 | −1.30852 | −0.654262 | − | 0.756268i | ||||||
−0.654262 | + | 0.756268i | ||||||||
2.16047 | + | 2.52839i | 0.0716978 | + | 0.0839075i | |||||
−6.69380 | + | 6.69380i | −0.222019 | + | 0.222019i | |||||
−38.8769 | − | 41.8131i | −1.28876 | − | 1.38609i | |||||
− | 7.29607i | − | 0.241729i | −0.992669 | − | 0.120865i | ||||
0.992669 | − | 0.120865i | ||||||||
3.81698 | − | 2.77593i | 0.126393 | − | 0.0919203i | |||||
−28.9256 | − | 28.9256i | −0.957298 | − | 0.957298i | |||||
−19.2243 | − | 8.85977i | −0.635882 | − | 0.293055i | |||||
−8.80197 | − | 21.0839i | −0.290984 | − | 0.697012i | |||||
32.0732 | + | 2.51664i | 1.05973 | + | 0.0831523i | |||||
− | 14.7122i | − | 0.485840i | |||||||
1.95159 | − | 4.23464i | 0.0644122 | − | 0.139764i | |||||
− | 52.5346i | − | 1.73296i | −0.499215 | − | 0.866478i | ||||
0.499215 | − | 0.866478i | ||||||||
−26.2216 | − | 3.02030i | −0.864500 | − | 0.0995762i | |||||
− | 3.84487i | − | 0.126693i | |||||||
12.2984 | + | 5.66789i | 0.405026 | + | 0.186662i | |||||
− | 15.7654i | − | 0.518926i | |||||||
−21.0873 | + | 18.0188i | −0.693721 | + | 0.592775i | |||||
7.28862 | − | 7.37012i | 0.239648 | − | 0.242328i | |||||
9.50727 | − | 20.6292i | 0.312428 | − | 0.677918i | |||||
−13.4242 | − | 13.4242i | −0.440907 | − | 0.440907i | |||||
−3.83415 | − | 2.55864i | −0.125862 | − | 0.0839916i | |||||
48.7878i | 1.60068i | 0.599549 | + | 0.800338i | ||||||
−0.599549 | + | 0.800338i | ||||||||
−0.301634 | + | 8.28918i | −0.00989098 | + | 0.271813i | |||||
1.38007 | − | 1.38007i | 0.0452299 | − | 0.0452299i | |||||
2.07753 | − | 26.4769i | 0.0680517 | − | 0.867278i | |||||
−4.07103 | −0.133279 | |||||||||
1.52561 | + | 4.13385i | 0.0499194 | + | 0.135264i | |||||
−32.1472 | − | 13.2112i | −1.05133 | − | 0.432054i | |||||
15.1487 | + | 8.47667i | 0.495150 | + | 0.277069i | |||||
−29.3163 | − | 29.3163i | −0.957722 | − | 0.957722i | 0.0414198 | − | 0.999142i | ||
−0.999142 | + | 0.0414198i | ||||||||
3.34593 | + | 1.54202i | 0.109248 | + | 0.0503487i | |||||
−1.37922 | + | 1.37922i | −0.0450093 | + | 0.0450093i | |||||
−48.8629 | − | 24.7116i | −1.59373 | − | 0.806004i | |||||
−7.65378 | − | 7.65378i | −0.249506 | − | 0.249506i | 0.571262 | − | 0.820768i | ||
−0.820768 | + | 0.571262i | ||||||||
−20.5892 | + | 7.59850i | −0.670832 | + | 0.247572i | |||||
32.1289 | − | 32.1289i | 1.04626 | − | 1.04626i | |||||
−7.73909 | − | 10.6414i | −0.251886 | − | 0.346349i | |||||
−6.07029 | + | 2.53419i | −0.197467 | + | 0.0824372i | |||||
14.4016 | − | 31.2491i | 0.468237 | − | 1.01600i | |||||
− | 39.6694i | − | 1.28908i | −0.764569 | − | 0.644541i | ||||
0.764569 | − | 0.644541i | ||||||||
−11.7476 | + | 10.0382i | −0.381545 | + | 0.326025i | |||||
−45.1116 | − | 45.1116i | −1.46438 | − | 1.46438i | |||||
−2.93213 | − | 7.81104i | −0.0951308 | − | 0.253424i | |||||
9.80915 | 0.318084 | |||||||||
23.9403 | + | 13.3961i | 0.775908 | + | 0.434171i | |||||
8.83095 | − | 8.83095i | 0.286063 | − | 0.286063i | −0.549458 | − | 0.835521i | ||
0.835521 | + | 0.549458i | ||||||||
2.10276 | − | 0.776029i | 0.0680794 | − | 0.0251249i | |||||
12.3281 | − | 29.9983i | 0.398929 | − | 0.970724i | |||||
13.5160 | − | 11.5492i | 0.437139 | − | 0.373529i | |||||
−3.84148 | −0.124177 | |||||||||
20.3666 | − | 7.51635i | 0.658015 | − | 0.242842i | |||||
−31.3916 | −1.01369 | |||||||||
−2.85991 | − | 17.6585i | −0.0923033 | − | 0.569924i | |||||
24.1198 | 0.778060 | |||||||||
16.8806 | − | 6.22982i | 0.544252 | − | 0.200858i | |||||
−10.9567 | −0.353075 | |||||||||
31.3191 | − | 26.7618i | 1.00872 | − | 0.861938i | |||||
−2.04856 | − | 4.90703i | −0.0659455 | − | 0.157963i | |||||
16.2888 | − | 6.01144i | 0.524085 | − | 0.193415i | |||||
−2.42314 | + | 2.42314i | −0.0779231 | + | 0.0779231i | −0.744994 | − | 0.667071i | ||
0.667071 | + | 0.744994i | ||||||||
−27.7065 | − | 15.5036i | −0.890519 | − | 0.498303i | |||||
−3.89021 | −0.124972 | |||||||||
−39.2972 | + | 36.5377i | −1.26176 | + | 1.17315i | |||||
21.9788 | + | 21.9788i | 0.705334 | + | 0.705334i | 0.965550 | − | 0.260216i | ||
−0.260216 | + | 0.965550i | ||||||||
1.52051 | − | 1.29925i | 0.0487703 | − | 0.0416735i | |||||
− | 11.8263i | − | 0.379132i | |||||||
−7.12671 | + | 15.4638i | −0.228355 | + | 0.495492i | |||||
21.5778 | − | 21.8191i | 0.691044 | − | 0.698771i | |||||
−33.0538 | + | 24.0387i | −1.05803 | + | 0.769460i | |||||
32.7193 | − | 32.7193i | 1.04678 | − | 1.04678i | 0.0479337 | − | 0.998851i | ||
0.998851 | − | 0.0479337i | ||||||||
−11.4793 | + | 4.23646i | −0.367067 | + | 0.135467i | |||||
−29.0215 | − | 29.0215i | −0.927531 | − | 0.927531i | |||||
−2.30713 | − | 7.02845i | −0.0736984 | − | 0.224515i | |||||
0.643941 | − | 0.643941i | 0.0205595 | − | 0.0205595i | |||||
11.1952 | + | 5.15949i | 0.357255 | + | 0.164646i | |||||
27.7480 | + | 27.7480i | 0.885023 | + | 0.885023i | 0.994040 | − | 0.109017i | ||
−0.109017 | + | 0.994040i | ||||||||
26.8729 | + | 15.0371i | 0.856675 | + | 0.479365i | |||||
7.35318 | − | 17.8927i | 0.234292 | − | 0.570108i | |||||
1.31546 | + | 3.56442i | 0.0418927 | + | 0.113514i | |||||
36.0188 | 1.14649 | |||||||||
1.13294 | − | 14.4387i | 0.0360437 | − | 0.459356i | |||||
−15.2300 | + | 15.2300i | −0.484286 | + | 0.484286i | |||||
−10.1513 | − | 10.9180i | −0.322629 | − | 0.346996i | |||||
− | 24.6172i | − | 0.781991i | −0.920393 | − | 0.390996i | ||||
0.920393 | − | 0.390996i | ||||||||
14.5511 | − | 2.90327i | 0.461999 | − | 0.0921790i | |||||
−7.17235 | − | 7.17235i | −0.227608 | − | 0.227608i | |||||
4.47303 | − | 9.70575i | 0.141876 | − | 0.307848i | |||||
−18.9775 | + | 46.1784i | −0.601627 | + | 1.46395i | |||||
−13.1937 | + | 11.2738i | −0.418057 | + | 0.357224i | |||||
36.9465i | 1.17011i | 0.810995 | + | 0.585053i | ||||||
−0.810995 | + | 0.585053i | ||||||||
29.4184 | + | 13.5579i | 0.931222 | + | 0.429167i | |||||
− | 2.07309i | − | 0.0655897i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 240.2.y.e.163.1 | ✓ | 16 | |
3.2 | odd | 2 | 720.2.z.f.163.8 | 16 | |||
4.3 | odd | 2 | 960.2.y.e.943.7 | 16 | |||
5.2 | odd | 4 | 240.2.bc.e.67.4 | yes | 16 | ||
8.3 | odd | 2 | 1920.2.y.j.223.2 | 16 | |||
8.5 | even | 2 | 1920.2.y.i.223.2 | 16 | |||
15.2 | even | 4 | 720.2.bd.f.307.5 | 16 | |||
16.3 | odd | 4 | 1920.2.bc.i.1183.6 | 16 | |||
16.5 | even | 4 | 960.2.bc.e.463.3 | 16 | |||
16.11 | odd | 4 | 240.2.bc.e.43.4 | yes | 16 | ||
16.13 | even | 4 | 1920.2.bc.j.1183.6 | 16 | |||
20.7 | even | 4 | 960.2.bc.e.367.3 | 16 | |||
40.27 | even | 4 | 1920.2.bc.j.607.6 | 16 | |||
40.37 | odd | 4 | 1920.2.bc.i.607.6 | 16 | |||
48.11 | even | 4 | 720.2.bd.f.523.5 | 16 | |||
80.27 | even | 4 | inner | 240.2.y.e.187.1 | yes | 16 | |
80.37 | odd | 4 | 960.2.y.e.847.7 | 16 | |||
80.67 | even | 4 | 1920.2.y.i.1567.2 | 16 | |||
80.77 | odd | 4 | 1920.2.y.j.1567.2 | 16 | |||
240.107 | odd | 4 | 720.2.z.f.667.8 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.2.y.e.163.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
240.2.y.e.187.1 | yes | 16 | 80.27 | even | 4 | inner | |
240.2.bc.e.43.4 | yes | 16 | 16.11 | odd | 4 | ||
240.2.bc.e.67.4 | yes | 16 | 5.2 | odd | 4 | ||
720.2.z.f.163.8 | 16 | 3.2 | odd | 2 | |||
720.2.z.f.667.8 | 16 | 240.107 | odd | 4 | |||
720.2.bd.f.307.5 | 16 | 15.2 | even | 4 | |||
720.2.bd.f.523.5 | 16 | 48.11 | even | 4 | |||
960.2.y.e.847.7 | 16 | 80.37 | odd | 4 | |||
960.2.y.e.943.7 | 16 | 4.3 | odd | 2 | |||
960.2.bc.e.367.3 | 16 | 20.7 | even | 4 | |||
960.2.bc.e.463.3 | 16 | 16.5 | even | 4 | |||
1920.2.y.i.223.2 | 16 | 8.5 | even | 2 | |||
1920.2.y.i.1567.2 | 16 | 80.67 | even | 4 | |||
1920.2.y.j.223.2 | 16 | 8.3 | odd | 2 | |||
1920.2.y.j.1567.2 | 16 | 80.77 | odd | 4 | |||
1920.2.bc.i.607.6 | 16 | 40.37 | odd | 4 | |||
1920.2.bc.i.1183.6 | 16 | 16.3 | odd | 4 | |||
1920.2.bc.j.607.6 | 16 | 40.27 | even | 4 | |||
1920.2.bc.j.1183.6 | 16 | 16.13 | even | 4 |