Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(91,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 460.e (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: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 91.11 | ||
Character | 460.91 | ||
Dual form | 460.2.e.b.91.10 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.265302 | + | 1.38911i | −0.187597 | + | 0.982246i | |||||
0.0612154i | 0.0353427i | 0.999844 | + | 0.0176714i | ||||||
−0.999844 | + | 0.0176714i | ||||||||
−1.85923 | − | 0.737066i | −0.929615 | − | 0.368533i | |||||
− | 1.00000i | − | 0.447214i | |||||||
−0.0850346 | − | 0.0162406i | −0.0347152 | − | 0.00663019i | |||||
−0.810885 | −0.306486 | −0.153243 | − | 0.988189i | ||||||
−0.153243 | + | 0.988189i | ||||||||
1.51712 | − | 2.38712i | 0.536383 | − | 0.843975i | |||||
2.99625 | 0.998751 | |||||||||
1.38911 | + | 0.265302i | 0.439274 | + | 0.0838960i | |||||
−2.10140 | −0.633596 | −0.316798 | − | 0.948493i | ||||||
−0.316798 | + | 0.948493i | ||||||||
0.0451198 | − | 0.113813i | 0.0130250 | − | 0.0328551i | |||||
2.93504 | 0.814035 | 0.407017 | − | 0.913420i | ||||||
0.407017 | + | 0.913420i | ||||||||
0.215130 | − | 1.12641i | 0.0574959 | − | 0.301044i | |||||
0.0612154 | 0.0158057 | |||||||||
2.91347 | + | 2.74075i | 0.728367 | + | 0.685187i | |||||
− | 4.65004i | − | 1.12780i | −0.825843 | − | 0.563900i | ||||
0.825843 | − | 0.563900i | ||||||||
−0.794913 | + | 4.16211i | −0.187363 | + | 0.981019i | |||||
6.20768 | 1.42414 | 0.712070 | − | 0.702109i | ||||||
0.712070 | + | 0.702109i | ||||||||
−0.737066 | + | 1.85923i | −0.164813 | + | 0.415736i | |||||
− | 0.0496387i | − | 0.0108320i | |||||||
0.557507 | − | 2.91907i | 0.118861 | − | 0.622348i | |||||
4.03517 | + | 2.59180i | 0.841391 | + | 0.540427i | |||||
0.146129 | + | 0.0928711i | 0.0298284 | + | 0.0189572i | |||||
−1.00000 | −0.200000 | |||||||||
−0.778674 | + | 4.07709i | −0.152711 | + | 0.799582i | |||||
0.367063i | 0.0706413i | |||||||||
1.50762 | + | 0.597676i | 0.284914 | + | 0.112950i | |||||
5.24402 | 0.973790 | 0.486895 | − | 0.873461i | ||||||
0.486895 | + | 0.873461i | ||||||||
−0.0162406 | + | 0.0850346i | −0.00296511 | + | 0.0155251i | |||||
2.58292i | 0.463906i | 0.972727 | + | 0.231953i | ||||||
−0.972727 | + | 0.231953i | ||||||||
−4.58014 | + | 3.31999i | −0.809662 | + | 0.586896i | |||||
− | 0.128638i | − | 0.0223930i | |||||||
6.45940 | + | 1.23367i | 1.10778 | + | 0.211572i | |||||
0.810885i | 0.137065i | |||||||||
−5.57072 | − | 2.20844i | −0.928453 | − | 0.368073i | |||||
− | 2.99380i | − | 0.492178i | −0.969247 | − | 0.246089i | ||||
0.969247 | − | 0.246089i | ||||||||
−1.64691 | + | 8.62312i | −0.267164 | + | 1.39886i | |||||
0.179670i | 0.0287702i | |||||||||
−2.38712 | − | 1.51712i | −0.377437 | − | 0.239878i | |||||
8.21934 | 1.28365 | 0.641823 | − | 0.766853i | ||||||
0.641823 | + | 0.766853i | ||||||||
0.0689533 | + | 0.0131693i | 0.0106397 | + | 0.00203206i | |||||
−10.1620 | −1.54970 | −0.774849 | − | 0.632147i | ||||||
−0.774849 | + | 0.632147i | ||||||||
3.90699 | + | 1.54887i | 0.589001 | + | 0.233501i | |||||
− | 2.99625i | − | 0.446655i | |||||||
−4.67082 | + | 4.91766i | −0.688675 | + | 0.725070i | |||||
1.89447i | 0.276336i | 0.990409 | + | 0.138168i | ||||||
−0.990409 | + | 0.138168i | ||||||||
−0.167776 | + | 0.178349i | −0.0242164 | + | 0.0257425i | |||||
−6.34247 | −0.906066 | |||||||||
0.265302 | − | 1.38911i | 0.0375194 | − | 0.196449i | |||||
0.284654 | 0.0398595 | |||||||||
−5.45692 | − | 2.16332i | −0.756738 | − | 0.299999i | |||||
− | 8.12090i | − | 1.11549i | −0.830012 | − | 0.557745i | ||||
0.830012 | − | 0.557745i | ||||||||
−0.509889 | − | 0.0973827i | −0.0693871 | − | 0.0132521i | |||||
2.10140i | 0.283353i | |||||||||
−1.23021 | + | 1.93568i | −0.164394 | + | 0.258666i | |||||
0.380006i | 0.0503330i | |||||||||
−1.39125 | + | 7.28450i | −0.182680 | + | 0.956501i | |||||
− | 13.1005i | − | 1.70554i | −0.522284 | − | 0.852772i | ||||
0.522284 | − | 0.852772i | ||||||||
−0.113813 | − | 0.0451198i | −0.0146933 | − | 0.00582494i | |||||
13.7022i | 1.75439i | 0.480133 | + | 0.877196i | ||||||
−0.480133 | + | 0.877196i | ||||||||
−3.58795 | − | 0.685255i | −0.455670 | − | 0.0870275i | |||||
−2.42962 | −0.306103 | |||||||||
−3.39669 | − | 7.24310i | −0.424586 | − | 0.905387i | |||||
− | 2.93504i | − | 0.364047i | |||||||
0.178692 | + | 0.0341280i | 0.0219955 | + | 0.00420087i | |||||
1.42460 | 0.174042 | 0.0870211 | − | 0.996206i | ||||||
0.0870211 | + | 0.996206i | ||||||||
−3.42739 | + | 8.64549i | −0.415632 | + | 1.04842i | |||||
−0.158658 | + | 0.247014i | −0.0191002 | + | 0.0297370i | |||||
−1.12641 | − | 0.215130i | −0.134631 | − | 0.0257129i | |||||
− | 2.26145i | − | 0.268384i | −0.990955 | − | 0.134192i | ||||
0.990955 | − | 0.134192i | ||||||||
4.54568 | − | 7.15242i | 0.535713 | − | 0.842920i | |||||
−4.13040 | −0.483426 | −0.241713 | − | 0.970348i | ||||||
−0.241713 | + | 0.970348i | ||||||||
4.15870 | + | 0.794262i | 0.483440 | + | 0.0923311i | |||||
− | 0.0612154i | − | 0.00706854i | |||||||
−11.5415 | − | 4.57547i | −1.32390 | − | 0.524842i | |||||
1.70400 | 0.194188 | |||||||||
−0.249580 | − | 0.0476668i | −0.0282594 | − | 0.00539720i | |||||
14.9553 | 1.68261 | 0.841304 | − | 0.540562i | ||||||
0.841304 | + | 0.540562i | ||||||||
2.74075 | − | 2.91347i | 0.306425 | − | 0.325736i | |||||
8.96629 | 0.996254 | |||||||||
−2.18061 | + | 11.4175i | −0.240808 | + | 1.26086i | |||||
−8.73564 | −0.958861 | −0.479431 | − | 0.877580i | ||||||
−0.479431 | + | 0.877580i | ||||||||
−0.0365870 | + | 0.0922896i | −0.00399197 | + | 0.0100696i | |||||
−4.65004 | −0.504368 | |||||||||
2.69601 | − | 14.1162i | 0.290719 | − | 1.52218i | |||||
0.321015i | 0.0344164i | |||||||||
−3.18808 | + | 5.01630i | −0.339850 | + | 0.534739i | |||||
5.82961i | 0.617938i | 0.951072 | + | 0.308969i | ||||||
−0.951072 | + | 0.308969i | ||||||||
4.16211 | + | 0.794913i | 0.438725 | + | 0.0837912i | |||||
−2.37998 | −0.249490 | |||||||||
−5.59198 | − | 7.79293i | −0.583004 | − | 0.812469i | |||||
−0.158114 | −0.0163957 | |||||||||
−2.63161 | − | 0.502606i | −0.271430 | − | 0.0518399i | |||||
− | 6.20768i | − | 0.636895i | |||||||
−0.203234 | − | 0.280375i | −0.0207425 | − | 0.0286157i | |||||
2.73446i | 0.277643i | 0.990317 | + | 0.138821i | ||||||
−0.990317 | + | 0.138821i | ||||||||
1.68267 | − | 8.81035i | 0.169975 | − | 0.889980i | |||||
−6.29633 | −0.632805 | |||||||||
1.85923 | + | 0.737066i | 0.185923 | + | 0.0737066i | |||||
−1.66981 | −0.166152 | −0.0830761 | − | 0.996543i | ||||||
−0.0830761 | + | 0.996543i | ||||||||
−0.0755194 | + | 0.395414i | −0.00747753 | + | 0.0391519i | |||||
3.01723 | 0.297297 | 0.148648 | − | 0.988890i | ||||||
0.148648 | + | 0.988890i | ||||||||
4.45281 | − | 7.00630i | 0.436634 | − | 0.687024i | |||||
−0.0496387 | −0.00484424 | |||||||||
11.2808 | + | 2.15449i | 1.09569 | + | 0.209263i | |||||
−12.4870 | −1.20716 | −0.603580 | − | 0.797302i | ||||||
−0.603580 | + | 0.797302i | ||||||||
0.270550 | − | 0.682454i | 0.0260336 | − | 0.0656692i | |||||
− | 11.3533i | − | 1.08745i | −0.839263 | − | 0.543726i | ||||
0.839263 | − | 0.543726i | ||||||||
−2.91907 | − | 0.557507i | −0.278322 | − | 0.0531562i | |||||
0.183267 | 0.0173949 | |||||||||
−2.36249 | − | 2.22243i | −0.223234 | − | 0.210000i | |||||
− | 2.38506i | − | 0.224367i | −0.993687 | − | 0.112184i | ||||
0.993687 | − | 0.112184i | ||||||||
−0.527868 | − | 0.100816i | −0.0494394 | − | 0.00944232i | |||||
2.59180 | − | 4.03517i | 0.241686 | − | 0.376281i | |||||
−9.74983 | − | 3.86519i | −0.905249 | − | 0.358874i | |||||
8.79413 | 0.813018 | |||||||||
18.1980 | + | 3.47560i | 1.67526 | + | 0.319955i | |||||
3.77065i | 0.345655i | |||||||||
0.0928711 | − | 0.146129i | 0.00847793 | − | 0.0133396i | |||||
−6.58411 | −0.598556 | |||||||||
−19.0338 | − | 3.63523i | −1.72324 | − | 0.329119i | |||||
0.503150i | 0.0453675i | |||||||||
1.90378 | − | 4.80224i | 0.170965 | − | 0.431254i | |||||
1.00000i | 0.0894427i | |||||||||
0.644583 | − | 3.37500i | 0.0574240 | − | 0.300668i | |||||
− | 6.12439i | − | 0.543452i | −0.962375 | − | 0.271726i | ||||
0.962375 | − | 0.271726i | ||||||||
10.9626 | − | 2.79675i | 0.968964 | − | 0.247200i | |||||
− | 0.622073i | − | 0.0547705i | |||||||
4.07709 | + | 0.778674i | 0.357584 | + | 0.0682942i | |||||
− | 15.4796i | − | 1.35245i | −0.736693 | − | 0.676227i | ||||
0.736693 | − | 0.676227i | ||||||||
−0.0948148 | + | 0.239168i | −0.00825257 | + | 0.0208169i | |||||
−5.03372 | −0.436479 | |||||||||
−0.377949 | + | 1.97892i | −0.0326498 | + | 0.170952i | |||||
0.367063 | 0.0315917 | |||||||||
−11.1002 | − | 7.05467i | −0.951835 | − | 0.604933i | |||||
17.6295i | 1.50619i | 0.657914 | + | 0.753093i | ||||||
−0.657914 | + | 0.753093i | ||||||||
−0.301037 | − | 0.285926i | −0.0256259 | − | 0.0243396i | |||||
− | 2.39357i | − | 0.203020i | −0.994835 | − | 0.101510i | ||||
0.994835 | − | 0.101510i | ||||||||
0.597676 | − | 1.50762i | 0.0505128 | − | 0.127417i | |||||
−0.115970 | −0.00976647 | |||||||||
3.14139 | + | 0.599967i | 0.263619 | + | 0.0503481i | |||||
−6.16770 | −0.515769 | |||||||||
8.72948 | + | 8.21198i | 0.727457 | + | 0.684332i | |||||
− | 5.24402i | − | 0.435492i | |||||||
1.09580 | − | 5.73756i | 0.0906894 | − | 0.474843i | |||||
− | 0.388256i | − | 0.0320228i | |||||||
−2.20663 | + | 5.56616i | −0.181384 | + | 0.457536i | |||||
− | 0.398304i | − | 0.0326303i | −0.999867 | − | 0.0163152i | ||||
0.999867 | − | 0.0163152i | ||||||||
0.0850346 | + | 0.0162406i | 0.00694305 | + | 0.00132604i | |||||
18.3711i | 1.49502i | 0.664249 | + | 0.747511i | ||||||
−0.664249 | + | 0.747511i | ||||||||
9.41780 | − | 14.8185i | 0.763884 | − | 1.20194i | |||||
− | 13.9327i | − | 1.12639i | |||||||
−0.452074 | + | 2.36703i | −0.0364292 | + | 0.190741i | |||||
2.58292 | 0.207465 | |||||||||
0.132429 | − | 0.334047i | 0.0106028 | − | 0.0267452i | |||||
18.5760i | 1.48252i | 0.671216 | + | 0.741261i | ||||||
−0.671216 | + | 0.741261i | ||||||||
−3.96769 | + | 20.7746i | −0.315652 | + | 1.65274i | |||||
0.497124 | 0.0394245 | |||||||||
3.31999 | + | 4.58014i | 0.262468 | + | 0.362092i | |||||
−3.27206 | − | 2.10165i | −0.257874 | − | 0.165633i | |||||
−2.37878 | + | 12.4551i | −0.186894 | + | 0.978567i | |||||
13.2878i | 1.04078i | 0.853928 | + | 0.520392i | ||||||
−0.853928 | + | 0.520392i | ||||||||
−15.2816 | − | 6.05820i | −1.19330 | − | 0.473066i | |||||
−0.128638 | −0.0100145 | |||||||||
2.31759 | − | 12.1347i | 0.179880 | − | 0.941838i | |||||
− | 4.05918i | − | 0.314109i | −0.987590 | − | 0.157054i | ||||
0.987590 | − | 0.157054i | ||||||||
−0.118493 | − | 0.0753078i | −0.00914197 | − | 0.00581012i | |||||
−4.38552 | −0.337348 | |||||||||
1.23367 | − | 6.45940i | 0.0946179 | − | 0.495413i | |||||
18.5998 | 1.42236 | |||||||||
18.8936 | + | 7.49010i | 1.44062 | + | 0.571115i | |||||
−18.4562 | −1.40320 | −0.701600 | − | 0.712571i | ||||||
−0.701600 | + | 0.712571i | ||||||||
−0.445923 | − | 0.0851659i | −0.0338053 | − | 0.00645641i | |||||
0.810885 | 0.0612972 | |||||||||
−6.12236 | − | 5.75942i | −0.461491 | − | 0.434132i | |||||
0.801954 | 0.0602785 | |||||||||
−8.09795 | − | 1.54661i | −0.606967 | − | 0.115923i | |||||
− | 8.67585i | − | 0.648464i | −0.945978 | − | 0.324232i | ||||
0.945978 | − | 0.324232i | ||||||||
−2.20844 | + | 5.57072i | −0.164607 | + | 0.415217i | |||||
21.9722i | 1.63318i | 0.577218 | + | 0.816590i | ||||||
−0.577218 | + | 0.816590i | ||||||||
0.631415 | − | 3.30605i | 0.0468036 | − | 0.245061i | |||||
−0.838787 | −0.0620049 | |||||||||
12.3088 | − | 5.70036i | 0.907415 | − | 0.420236i | |||||
−2.99380 | −0.220109 | |||||||||
0.0419481 | − | 0.219638i | 0.00307579 | − | 0.0161046i | |||||
9.77160i | 0.714570i | |||||||||
1.39635 | − | 3.52225i | 0.101839 | − | 0.256886i | |||||
− | 0.297646i | − | 0.0216506i | |||||||
8.62312 | + | 1.64691i | 0.625587 | + | 0.119480i | |||||
−12.6841 | −0.917792 | −0.458896 | − | 0.888490i | ||||||
−0.458896 | + | 0.888490i | ||||||||
0.443389 | − | 0.207930i | 0.0319989 | − | 0.0150060i | |||||
−15.3963 | −1.10825 | −0.554126 | − | 0.832433i | ||||||
−0.554126 | + | 0.832433i | ||||||||
−3.79846 | − | 0.725460i | −0.272713 | − | 0.0520850i | |||||
0.179670 | 0.0128664 | |||||||||
11.7921 | + | 4.67482i | 0.842293 | + | 0.333915i | |||||
−9.62990 | −0.686102 | −0.343051 | − | 0.939317i | ||||||
−0.343051 | + | 0.939317i | ||||||||
1.67043 | − | 8.74627i | 0.118712 | − | 0.621570i | |||||
2.04990 | 0.145313 | 0.0726567 | − | 0.997357i | ||||||
0.0726567 | + | 0.997357i | ||||||||
−1.51712 | + | 2.38712i | −0.107277 | + | 0.168795i | |||||
0.0872072i | 0.00615112i | |||||||||
0.443004 | − | 2.31954i | 0.0311697 | − | 0.163202i | |||||
−4.25230 | −0.298453 | |||||||||
−0.529237 | − | 0.209809i | −0.0370540 | − | 0.0146896i | |||||
− | 8.21934i | − | 0.574064i | |||||||
−0.800479 | + | 4.19125i | −0.0557720 | + | 0.292019i | |||||
12.0904 | + | 7.76568i | 0.840340 | + | 0.539752i | |||||
8.55115 | + | 8.04422i | 0.592916 | + | 0.557766i | |||||
−13.0448 | −0.902330 | |||||||||
0.0131693 | − | 0.0689533i | 0.000908765 | − | 0.00475823i | |||||
− | 4.14576i | − | 0.285406i | −0.989766 | − | 0.142703i | ||||
0.989766 | − | 0.142703i | ||||||||
−5.98564 | + | 15.0986i | −0.411095 | + | 1.03698i | |||||
0.138435 | 0.00948543 | |||||||||
3.31282 | − | 17.3457i | 0.226460 | − | 1.18573i | |||||
10.1620i | 0.693046i | |||||||||
0.876223 | + | 0.556879i | 0.0596195 | + | 0.0378908i | |||||
− | 2.09445i | − | 0.142181i | |||||||
15.7710 | + | 3.01207i | 1.06815 | + | 0.204003i | |||||
− | 0.252844i | − | 0.0170856i | |||||||
1.54887 | − | 3.90699i | 0.104425 | − | 0.263409i | |||||
− | 13.6481i | − | 0.918068i | |||||||
−0.0486211 | + | 0.254577i | −0.00326323 | + | 0.0170861i | |||||
15.8065i | 1.05848i | 0.848472 | + | 0.529240i | ||||||
−0.848472 | + | 0.529240i | ||||||||
3.71397 | − | 2.69213i | 0.248150 | − | 0.179875i | |||||
−2.99625 | −0.199750 | |||||||||
3.31310 | + | 0.632761i | 0.220384 | + | 0.0420907i | |||||
10.1465 | 0.673449 | 0.336725 | − | 0.941603i | ||||||
0.336725 | + | 0.941603i | ||||||||
0.280089 | − | 0.706517i | 0.0185494 | − | 0.0467903i | |||||
12.6776i | 0.837757i | 0.908042 | + | 0.418878i | ||||||
−0.908042 | + | 0.418878i | ||||||||
4.91766 | + | 4.67082i | 0.324261 | + | 0.307985i | |||||
0.104311i | 0.00686314i | |||||||||
7.95581 | − | 12.5181i | 0.522324 | − | 0.821854i | |||||
13.5503 | 0.887710 | 0.443855 | − | 0.896099i | ||||||
0.443855 | + | 0.896099i | ||||||||
−2.33310 | + | 12.2160i | −0.152520 | + | 0.798583i | |||||
1.89447 | 0.123581 | |||||||||
−9.65595 | + | 24.3569i | −0.628549 | + | 1.58550i | |||||
0.915497i | 0.0594679i | |||||||||
−5.23783 | − | 1.00036i | −0.339518 | − | 0.0648438i | |||||
10.8030i | 0.698785i | 0.936976 | + | 0.349392i | ||||||
−0.936976 | + | 0.349392i | ||||||||
0.178349 | + | 0.167776i | 0.0115124 | + | 0.0108299i | |||||
23.5923i | 1.51971i | 0.650090 | + | 0.759857i | ||||||
−0.650090 | + | 0.759857i | ||||||||
1.74678 | − | 9.14603i | 0.112287 | − | 0.587929i | |||||
1.65006i | 0.105852i | |||||||||
10.0995 | − | 25.4756i | 0.646551 | − | 1.63091i | |||||
6.34247i | 0.405205i | |||||||||
−0.698929 | − | 0.133487i | −0.0445621 | − | 0.00851082i | |||||
18.2198 | 1.15930 | |||||||||
6.16574 | + | 3.91860i | 0.391525 | + | 0.248831i | |||||
− | 0.534756i | − | 0.0338888i | |||||||
−1.38911 | − | 0.265302i | −0.0878548 | − | 0.0167792i | |||||
−3.93647 | −0.248468 | −0.124234 | − | 0.992253i | ||||||
−0.124234 | + | 0.992253i | ||||||||
4.51722 | + | 1.79079i | 0.284558 | + | 0.112809i | |||||
−8.47951 | − | 5.44641i | −0.533102 | − | 0.342413i | |||||
8.50743 | + | 1.62482i | 0.533804 | + | 0.101950i | |||||
− | 0.284654i | − | 0.0178257i | |||||||
0.976582 | + | 15.9702i | 0.0610364 | + | 0.998136i | |||||
9.47781 | 0.591209 | 0.295605 | − | 0.955310i | ||||||
0.295605 | + | 0.955310i | ||||||||
0.864126 | + | 0.165038i | 0.0537981 | + | 0.0102748i | |||||
2.42763i | 0.150845i | |||||||||
−2.16332 | + | 5.45692i | −0.134163 | + | 0.338424i | |||||
15.7124 | 0.972573 | |||||||||
21.5027 | + | 4.10676i | 1.32844 | + | 0.253717i | |||||
24.4123 | 1.50532 | 0.752662 | − | 0.658407i | ||||||
0.752662 | + | 0.658407i | ||||||||
−0.307075 | − | 0.195160i | −0.0188991 | − | 0.0120112i | |||||
−8.12090 | −0.498863 | |||||||||
1.33546 | − | 6.99236i | 0.0818821 | − | 0.428729i | |||||
−0.356862 | −0.0218396 | |||||||||
−2.64865 | − | 1.05002i | −0.161792 | − | 0.0641403i | |||||
−2.11000 | −0.128649 | −0.0643245 | − | 0.997929i | ||||||
−0.0643245 | + | 0.997929i | ||||||||
−0.0973827 | + | 0.509889i | −0.00592652 | + | 0.0310309i | |||||
25.7964i | 1.56702i | 0.621379 | + | 0.783510i | ||||||
−0.621379 | + | 0.783510i | ||||||||
12.7446 | − | 13.5477i | 0.772755 | − | 0.821452i | |||||
− | 0.145692i | − | 0.00881766i | |||||||
−24.4892 | − | 4.67714i | −1.47944 | − | 0.282556i | |||||
2.10140 | 0.126719 | |||||||||
0.477047 | − | 0.342315i | 0.0287149 | − | 0.0206049i | |||||
−6.05641 | −0.363894 | −0.181947 | − | 0.983308i | ||||||
−0.181947 | + | 0.983308i | ||||||||
3.32492 | + | 0.635020i | 0.199416 | + | 0.0380860i | |||||
7.73908i | 0.463327i | |||||||||
1.93568 | + | 1.23021i | 0.115679 | + | 0.0735192i | |||||
27.0312i | 1.61255i | 0.591543 | + | 0.806274i | ||||||
−0.591543 | + | 0.806274i | ||||||||
0.0307672 | − | 0.161095i | 0.00183216 | − | 0.00959308i | |||||
−21.0525 | −1.25144 | −0.625720 | − | 0.780048i | ||||||
−0.625720 | + | 0.780048i | ||||||||
−1.66684 | + | 4.20455i | −0.0989085 | + | 0.249494i | |||||
0.380006 | 0.0225096 | |||||||||
1.63631 | − | 8.56759i | 0.0967568 | − | 0.506612i | |||||
−6.66494 | −0.393419 | |||||||||
−13.7233 | + | 9.94752i | −0.808651 | + | 0.586163i | |||||
−4.62287 | −0.271934 | |||||||||
7.28450 | + | 1.39125i | 0.427760 | + | 0.0816970i | |||||
−0.167391 | −0.00981265 | |||||||||
7.67935 | + | 3.04437i | 0.449400 | + | 0.178159i | |||||
− | 19.4086i | − | 1.13386i | −0.823766 | − | 0.566931i | ||||
0.823766 | − | 0.566931i | ||||||||
0.539329 | + | 0.103005i | 0.0314543 | + | 0.00600739i | |||||
−13.1005 | −0.762742 | |||||||||
−7.14656 | − | 4.54196i | −0.415385 | − | 0.263996i | |||||
− | 0.771347i | − | 0.0447581i | |||||||
0.553286 | + | 0.105671i | 0.0320510 | + | 0.00612136i | |||||
11.8434 | + | 7.60704i | 0.684921 | + | 0.439926i | |||||
−0.0451198 | + | 0.113813i | −0.00260499 | + | 0.00657102i | |||||
8.24025 | 0.474960 | |||||||||
−25.5195 | − | 4.87391i | −1.46848 | − | 0.280462i | |||||
− | 0.102218i | − | 0.00587227i | |||||||
18.0859 | + | 17.0137i | 1.03730 | + | 0.975803i | |||||
13.7022 | 0.784588 | |||||||||
19.3540 | + | 3.69638i | 1.10639 | + | 0.211308i | |||||
− | 24.0934i | − | 1.37508i | −0.726144 | − | 0.687542i | ||||
0.726144 | − | 0.687542i | ||||||||
−3.16812 | − | 1.25596i | −0.180520 | − | 0.0715648i | |||||
0.184701i | 0.0105073i | |||||||||
−0.685255 | + | 3.58795i | −0.0389199 | + | 0.203782i | |||||
− | 15.5862i | − | 0.883811i | −0.897062 | − | 0.441906i | ||||
0.897062 | − | 0.441906i | ||||||||
0.428893 | + | 0.272581i | 0.0242813 | + | 0.0154318i | |||||
− | 26.8531i | − | 1.51783i | −0.651191 | − | 0.758914i | ||||
0.651191 | − | 0.758914i | ||||||||
−25.8040 | − | 4.92825i | −1.45620 | − | 0.278117i | |||||
2.42962i | 0.136893i | |||||||||
−27.8054 | − | 11.0231i | −1.56418 | − | 0.620097i | |||||
9.87979 | 0.554905 | 0.277452 | − | 0.960739i | ||||||
0.277452 | + | 0.960739i | ||||||||
−0.131888 | + | 0.690557i | −0.00739592 | + | 0.0387245i | |||||
−11.0198 | −0.616990 | |||||||||
−7.24310 | + | 3.39669i | −0.404902 | + | 0.189881i | |||||
− | 0.764394i | − | 0.0426643i | |||||||
3.78750 | − | 3.98766i | 0.211069 | − | 0.222224i | |||||
− | 28.8660i | − | 1.60615i | |||||||
−16.6704 | − | 6.60875i | −0.926133 | − | 0.367153i | |||||
−2.93504 | −0.162807 | |||||||||
−18.4582 | − | 3.52530i | −1.02231 | − | 0.195248i | |||||
0.694999 | 0.0384335 | |||||||||
12.4697 | − | 19.6206i | 0.688526 | − | 1.08336i | |||||
− | 1.53619i | − | 0.0846931i | |||||||
0.0341280 | − | 0.178692i | 0.00187868 | − | 0.00983667i | |||||
− | 16.4661i | − | 0.905061i | −0.891749 | − | 0.452531i | ||||
0.891749 | − | 0.452531i | ||||||||
16.2416 | + | 6.43875i | 0.891371 | + | 0.353372i | |||||
− | 8.97018i | − | 0.491563i | |||||||
5.63863 | + | 1.07691i | 0.308532 | + | 0.0589259i | |||||
− | 1.42460i | − | 0.0778340i | |||||||
0.136047 | − | 0.144621i | 0.00742198 | − | 0.00788970i | |||||
− | 6.50726i | − | 0.354473i | −0.984168 | − | 0.177237i | ||||
0.984168 | − | 0.177237i | ||||||||
1.16349 | − | 6.09195i | 0.0632855 | − | 0.331359i | |||||
0.146002 | 0.00792975 | |||||||||
8.64549 | + | 3.42739i | 0.468868 | + | 0.185876i | |||||
− | 5.42775i | − | 0.293929i | |||||||
−4.93457 | + | 25.8371i | −0.266831 | + | 1.39711i | |||||
10.8192 | 0.584182 | |||||||||
−15.4170 | + | 24.2580i | −0.831231 | + | 1.30791i | |||||
0.247014 | + | 0.158658i | 0.0132988 | + | 0.00854185i | |||||
4.89648 | − | 25.6376i | 0.263236 | − | 1.37829i | |||||
− | 3.84426i | − | 0.206371i | −0.994662 | − | 0.103185i | ||||
0.994662 | − | 0.103185i | ||||||||
0.236609 | − | 0.596840i | 0.0126836 | − | 0.0319940i | |||||
7.73983 | 0.414304 | 0.207152 | − | 0.978309i | ||||||
0.207152 | + | 0.978309i | ||||||||
−0.215130 | + | 1.12641i | −0.0114992 | + | 0.0602089i | |||||
1.07735i | 0.0575044i | |||||||||
9.62472 | − | 6.97663i | 0.512999 | − | 0.371855i | |||||
−21.2558 | −1.13133 | −0.565667 | − | 0.824634i | ||||||
−0.565667 | + | 0.824634i | ||||||||
−0.212760 | + | 1.11400i | −0.0113081 | + | 0.0592084i | |||||
−2.26145 | −0.120025 | |||||||||
4.29681 | − | 10.8386i | 0.227730 | − | 0.574444i | |||||
−0.230822 | −0.0122164 | |||||||||
12.0517 | + | 2.30172i | 0.636951 | + | 0.121650i | |||||
−20.5153 | −1.08275 | −0.541377 | − | 0.840780i | ||||||
−0.541377 | + | 0.840780i | ||||||||
−7.15242 | − | 4.54568i | −0.376965 | − | 0.239578i | |||||
19.5353 | 1.02817 | |||||||||
−30.5217 | − | 5.82927i | −1.60418 | − | 0.306380i | |||||
− | 0.403049i | − | 0.0211546i | |||||||
4.42493 | + | 1.75420i | 0.231930 | + | 0.0919453i | |||||
4.13040i | 0.216195i | |||||||||
0.222532 | − | 1.16516i | 0.0116319 | − | 0.0609041i | |||||
11.4965 | 0.600113 | 0.300057 | − | 0.953921i | ||||||
0.300057 | + | 0.953921i | ||||||||
4.65286 | + | 18.6105i | 0.242547 | + | 0.970140i | |||||
24.6272 | 1.28204 | |||||||||
0.794262 | − | 4.15870i | 0.0412917 | − | 0.216201i | |||||
6.58511i | 0.341882i | |||||||||
0.293971 | + | 0.116541i | 0.0152417 | + | 0.00604236i | |||||
16.8099i | 0.870386i | 0.900337 | + | 0.435193i | ||||||
−0.900337 | + | 0.435193i | ||||||||
−13.5738 | − | 2.59243i | −0.701884 | − | 0.134051i | |||||
−0.0612154 | −0.00316115 | |||||||||
4.52232 | + | 2.87413i | 0.233221 | + | 0.148222i | |||||
15.3914 | 0.792698 | |||||||||
0.413462 | + | 0.0789662i | 0.0212662 | + | 0.00406158i | |||||
4.04643 | 0.207851 | 0.103926 | − | 0.994585i | ||||||
0.103926 | + | 0.994585i | ||||||||
−4.57547 | + | 11.5415i | −0.234717 | + | 0.592067i | |||||
0.374907 | 0.0192071 | |||||||||
3.36513 | − | 17.6196i | 0.172175 | − | 0.901498i | |||||
−11.0961 | −0.566986 | −0.283493 | − | 0.958974i | ||||||
−0.283493 | + | 0.958974i | ||||||||
0.171204 | + | 0.671079i | 0.00873672 | + | 0.0342458i | |||||
− | 1.70400i | − | 0.0868437i | |||||||
4.08468 | − | 21.3871i | 0.207905 | − | 1.08858i | |||||
−30.4481 | −1.54776 | |||||||||
2.01548 | − | 5.08399i | 0.102321 | − | 0.258101i | |||||
− | 18.0429i | − | 0.914809i | −0.889259 | − | 0.457405i | ||||
0.889259 | − | 0.457405i | ||||||||
−0.0476668 | + | 0.249580i | −0.00241370 | + | 0.0126380i | |||||
12.0520 | − | 18.7637i | 0.609494 | − | 0.948921i | |||||
−9.62228 | + | 15.1402i | −0.485999 | + | 0.764697i | |||||
0.947587 | 0.0477994 | |||||||||
2.55483 | − | 13.3769i | 0.128711 | − | 0.673921i | |||||
− | 14.9553i | − | 0.752485i | |||||||
11.7063 | + | 4.64081i | 0.588265 | + | 0.233210i | |||||
−26.5667 | −1.33334 | −0.666672 | − | 0.745351i | ||||||
−0.666672 | + | 0.745351i | ||||||||
−0.543843 | + | 2.84753i | −0.0272604 | + | 0.142734i | |||||
− | 0.308141i | − | 0.0154263i | |||||||
−2.91347 | − | 2.74075i | −0.145673 | − | 0.137037i | |||||
− | 0.934463i | − | 0.0466649i | −0.999728 | − | 0.0233324i | ||||
0.999728 | − | 0.0233324i | ||||||||
−0.121140 | − | 0.0231363i | −0.00604192 | − | 0.00115393i | |||||
7.58098i | 0.377636i | |||||||||
3.10456 | + | 1.23076i | 0.154458 | + | 0.0612326i | |||||
− | 8.96629i | − | 0.445538i | |||||||
1.12814 | − | 5.90689i | 0.0559889 | − | 0.293154i | |||||
6.29118i | 0.311842i | |||||||||
0.431854 | − | 0.679503i | 0.0213800 | − | 0.0336404i | |||||
−15.7550 | −0.779037 | −0.389518 | − | 0.921019i | ||||||
−0.389518 | + | 0.921019i | ||||||||
11.4175 | + | 2.18061i | 0.563872 | + | 0.107693i | |||||
−1.07919 | −0.0532327 | |||||||||
−5.60973 | − | 2.22390i | −0.276371 | − | 0.109564i | |||||
10.6230i | 0.522725i | |||||||||
−13.9950 | + | 14.7346i | −0.687815 | + | 0.724164i | |||||
8.73564i | 0.428816i | |||||||||
−13.4429 | + | 9.74430i | −0.659093 | + | 0.477754i | |||||
0.146523 | 0.00717528 | |||||||||
3.46082 | − | 18.1206i | 0.169274 | − | 0.886310i | |||||
−24.9291 | −1.21787 | −0.608933 | − | 0.793222i | ||||||
−0.608933 | + | 0.793222i | ||||||||
0.0922896 | + | 0.0365870i | 0.00450327 | + | 0.00178526i | |||||
− | 16.2869i | − | 0.793775i | −0.917867 | − | 0.396888i | ||||
0.917867 | − | 0.396888i | ||||||||
5.75889 | + | 1.09988i | 0.280338 | + | 0.0535413i | |||||
5.67630i | 0.275991i | |||||||||
−19.3856 | − | 12.3204i | −0.941446 | − | 0.598330i | |||||
4.65004i | 0.225560i | |||||||||
−0.0367272 | + | 0.192301i | −0.00177944 | + | 0.00931703i | |||||
− | 11.1109i | − | 0.537696i | |||||||
23.2161 | + | 9.20372i | 1.12219 | + | 0.444879i | |||||
− | 0.377558i | − | 0.0182287i | |||||||
−14.1162 | − | 2.69601i | −0.680741 | − | 0.130013i | |||||
24.5994 | 1.18491 | 0.592456 | − | 0.805603i | ||||||
0.592456 | + | 0.805603i | ||||||||
−1.00603 | + | 1.06943i | −0.0484025 | + | 0.0514528i | |||||
2.41636i | 0.116123i | 0.998313 | + | 0.0580615i | ||||||
−0.998313 | + | 0.0580615i | ||||||||
2.90942 | + | 0.555663i | 0.139656 | + | 0.0266727i | |||||
0.321015 | 0.0153915 | |||||||||
−8.36816 | + | 21.1085i | −0.400762 | + | 1.01091i | |||||
25.0490 | + | 16.0891i | 1.19826 | + | 0.769644i | |||||
0.351227 | + | 0.0670800i | 0.0167823 | + | 0.00320521i | |||||
20.2396i | 0.965984i | 0.875625 | + | 0.482992i | ||||||
−0.875625 | + | 0.482992i | ||||||||
5.01630 | + | 3.18808i | 0.239143 | + | 0.151986i | |||||
−19.0036 | −0.904935 | |||||||||
18.9586 | + | 3.62087i | 0.901769 | + | 0.172227i | |||||
− | 16.4810i | − | 0.783035i | −0.920171 | − | 0.391517i | ||||
0.920171 | − | 0.391517i | ||||||||
−0.340735 | − | 0.135080i | −0.0161705 | − | 0.00641059i | |||||
5.82961 | 0.276350 | |||||||||
−21.9569 | − | 4.19350i | −1.03969 | − | 0.198568i | |||||
0.0243823 | 0.00115324 | |||||||||
2.75433 | + | 5.87332i | 0.130130 | + | 0.277488i | |||||
28.5354 | 1.34667 | 0.673335 | − | 0.739337i | ||||||
0.673335 | + | 0.739337i | ||||||||
0.794913 | − | 4.16211i | 0.0374726 | − | 0.196204i | |||||
−17.2721 | −0.813313 | |||||||||
−1.75794 | + | 4.43437i | −0.0826868 | + | 0.208575i | |||||
−1.12460 | −0.0528382 | |||||||||
−2.69190 | + | 14.0946i | −0.126337 | + | 0.661493i | |||||
2.37998i | 0.111575i | |||||||||
0.907119 | + | 0.576514i | 0.0424797 | + | 0.0269978i | |||||
4.16624i | 0.194888i | 0.995241 | + | 0.0974442i | ||||||
−0.995241 | + | 0.0974442i | ||||||||
−17.6105 | − | 3.36339i | −0.822883 | − | 0.157161i | |||||
1.70686 | 0.0796693 | |||||||||
−7.79293 | + | 5.59198i | −0.363347 | + | 0.260727i | |||||
−15.8725 | −0.739255 | −0.369628 | − | 0.929180i | ||||||
−0.369628 | + | 0.929180i | ||||||||
−0.144899 | − | 0.0276739i | −0.00674130 | − | 0.00128751i | |||||
− | 39.4302i | − | 1.83248i | −0.400632 | − | 0.916239i | ||||
0.400632 | − | 0.916239i | ||||||||
15.2783 | + | 14.3725i | 0.709276 | + | 0.667228i | |||||
0.158114i | 0.00733238i | |||||||||
−3.59493 | + | 18.8228i | −0.166532 | + | 0.871949i | |||||
−11.3406 | −0.524780 | −0.262390 | − | 0.964962i | ||||||
−0.262390 | + | 0.964962i | ||||||||
−16.3503 | − | 6.48186i | −0.755793 | − | 0.299624i | |||||
−1.15518 | −0.0533415 | |||||||||
−0.502606 | + | 2.63161i | −0.0231835 | + | 0.121387i | |||||
−1.13713 | −0.0523964 | |||||||||
−31.2725 | − | 19.8751i | −1.43944 | − | 0.914825i | |||||
21.3545 | 0.981883 | |||||||||
−1.27172 | − | 0.242884i | −0.0584122 | − | 0.0111560i | |||||
−6.20768 | −0.284828 | |||||||||
2.77922 | − | 7.01050i | 0.127385 | − | 0.321326i | |||||
− | 24.3323i | − | 1.11410i | |||||||
−15.0064 | − | 2.86605i | −0.686379 | − | 0.131090i | |||||
−23.3114 | −1.06512 | −0.532562 | − | 0.846391i | ||||||
−0.532562 | + | 0.846391i | ||||||||
−0.280375 | + | 0.203234i | −0.0127973 | + | 0.00927633i | |||||
− | 8.78693i | − | 0.400650i | |||||||
−32.7722 | − | 6.25910i | −1.49273 | − | 0.285094i | |||||
0.128653 | − | 0.200300i | 0.00585393 | − | 0.00911398i | |||||
12.2414 | + | 4.85292i | 0.556426 | + | 0.220587i | |||||
2.73446 | 0.124166 | |||||||||
−2.29211 | − | 0.437766i | −0.103972 | − | 0.0198575i | |||||
31.8314i | 1.44242i | 0.692718 | + | 0.721209i | ||||||
−0.692718 | + | 0.721209i | ||||||||
32.7089 | + | 20.7879i | 1.48066 | + | 0.941026i | |||||
−0.813420 | −0.0367841 | |||||||||
−8.81035 | − | 1.68267i | −0.398011 | − | 0.0760153i | |||||
27.6085i | 1.24595i | 0.782241 | + | 0.622976i | ||||||
−0.782241 | + | 0.622976i | ||||||||
0.370855 | − | 0.935472i | 0.0167194 | − | 0.0421743i | |||||
− | 24.3849i | − | 1.09824i | |||||||
−4.83376 | + | 25.3092i | −0.217481 | + | 1.13872i | |||||
6.29633i | 0.282999i | |||||||||
−7.07914 | + | 7.52525i | −0.317863 | + | 0.337894i | |||||
1.83377i | 0.0822560i | |||||||||
0.742832 | + | 0.141872i | 0.0332871 | + | 0.00635743i | |||||
− | 36.7032i | − | 1.64306i | −0.570165 | − | 0.821530i | ||||
0.570165 | − | 0.821530i | ||||||||
0.737066 | − | 1.85923i | 0.0329626 | − | 0.0831473i | |||||
0.248484 | 0.0111015 | |||||||||
1.04436 | − | 5.46818i | 0.0466119 | − | 0.244057i | |||||
43.1029 | 1.92186 | 0.960932 | − | 0.276783i | ||||||
0.960932 | + | 0.276783i | ||||||||
−3.68602 | + | 5.79979i | −0.164188 | + | 0.258343i | |||||
1.66981i | 0.0743056i | |||||||||
9.81527 | − | 10.3340i | 0.436342 | − | 0.459402i | |||||
− | 0.268461i | − | 0.0119228i | |||||||
−4.51408 | + | 11.3867i | −0.200280 | + | 0.505201i | |||||
6.26173 | 0.277546 | 0.138773 | − | 0.990324i | ||||||
0.138773 | + | 0.990324i | ||||||||
0.395414 | + | 0.0755194i | 0.0175092 | + | 0.00334405i | |||||
3.34928 | 0.148163 | |||||||||
−22.4433 | − | 2.88035i | −0.991865 | − | 0.127295i | |||||
2.27861i | 0.100603i | |||||||||
−2.51448 | + | 13.1657i | −0.110909 | + | 0.580713i | |||||
− | 3.01723i | − | 0.132955i | |||||||
−0.458509 | + | 1.15658i | −0.0201847 | + | 0.0509155i | |||||
− | 3.98103i | − | 0.175086i | |||||||
−3.37223 | − | 0.644056i | −0.148167 | − | 0.0282982i | |||||
− | 1.12980i | − | 0.0495929i | |||||||
−7.00630 | − | 4.45281i | −0.307247 | − | 0.195269i | |||||
− | 28.1514i | − | 1.23334i | −0.787223 | − | 0.616668i | ||||
0.787223 | − | 0.616668i | ||||||||
−4.16854 | + | 21.8262i | −0.182452 | + | 0.955306i | |||||
27.1711 | 1.18811 | 0.594054 | − | 0.804425i | ||||||
0.594054 | + | 0.804425i | ||||||||
−11.4095 | + | 28.7800i | −0.498424 | + | 1.25726i | |||||
0.0496387i | 0.00216641i | |||||||||
−6.47663 | + | 33.9112i | −0.282395 | + | 1.47860i | |||||
12.0107 | 0.523194 | |||||||||
0.352565 | − | 0.374783i | 0.0153434 | − | 0.0163103i | |||||
9.56516 | + | 20.9167i | 0.415877 | + | 0.909421i | |||||
2.15449 | − | 11.2808i | 0.0935852 | − | 0.490006i | |||||
− | 39.2525i | − | 1.70341i | |||||||
9.35883 | + | 3.71018i | 0.405757 | + | 0.160857i | |||||
24.1241 | 1.04493 | |||||||||
0.0946763 | − | 0.495719i | 0.00409704 | − | 0.0214519i | |||||
12.4870i | 0.539859i | |||||||||
2.16129 | − | 3.40068i | 0.0933533 | − | 0.146887i | |||||
0.531096 | 0.0229185 | |||||||||
0.559788 | − | 2.93101i | 0.0241342 | − | 0.126365i | |||||
13.3281 | 0.574080 | |||||||||
−0.682454 | − | 0.270550i | −0.0293681 | − | 0.0116426i | |||||
22.7074 | 0.976269 | 0.488134 | − | 0.872769i | ||||||
0.488134 | + | 0.872769i | ||||||||
−35.8339 | − | 6.84385i | −1.53920 | − | 0.293969i | |||||
−1.34504 | −0.0577210 | |||||||||
15.4381 | + | 21.2978i | 0.661902 | + | 0.913137i | |||||
−11.3533 | −0.486324 | |||||||||
0.202381 | + | 0.0386523i | 0.00866111 | + | 0.00165417i | |||||
− | 35.1637i | − | 1.50349i | −0.659454 | − | 0.751745i | ||||
0.659454 | − | 0.751745i | ||||||||
12.9941 | − | 32.7772i | 0.555079 | − | 1.40017i | |||||
41.0553i | 1.75220i | |||||||||
−0.557507 | + | 2.91907i | −0.0237722 | + | 0.124470i | |||||
32.5532 | 1.38681 | |||||||||
0.348950 | + | 0.753486i | 0.0148523 | + | 0.0320705i | |||||
−12.1271 | −0.515696 | |||||||||
1.60678 | − | 8.41299i | 0.0682655 | − | 0.357434i | |||||
− | 0.183267i | − | 0.00777923i | |||||||
−1.76422 | + | 4.45020i | −0.0748196 | + | 0.188730i | |||||
16.2425i | 0.688219i | 0.938930 | + | 0.344109i | ||||||
−0.938930 | + | 0.344109i | ||||||||
−10.7504 | − | 2.05320i | −0.455101 | − | 0.0869188i | |||||
−29.8260 | −1.26151 | |||||||||
−2.22243 | + | 2.36249i | −0.0939150 | + | 0.0998333i | |||||
−0.598172 | −0.0252549 | |||||||||
−37.5492 | − | 7.17145i | −1.58392 | − | 0.302509i | |||||
−30.7320 | −1.29520 | −0.647599 | − | 0.761981i | ||||||
−0.647599 | + | 0.761981i | ||||||||
0.215616 | + | 0.0854779i | 0.00907906 | + | 0.00359927i | |||||
−2.38506 | −0.100340 | |||||||||
5.58528 | − | 29.2441i | 0.234767 | − | 1.22922i | |||||
−7.27063 | −0.305338 | |||||||||
−5.39835 | − | 3.43089i | −0.226510 | − | 0.143957i | |||||
− | 27.0381i | − | 1.13350i | −0.823891 | − | 0.566748i | ||||
0.823891 | − | 0.566748i | ||||||||
−0.100816 | + | 0.527868i | −0.00422273 | + | 0.0221100i | |||||
−35.8888 | −1.50190 | −0.750949 | − | 0.660360i | ||||||
−0.750949 | + | 0.660360i | ||||||||
11.4672 | + | 4.54601i | 0.479467 | + | 0.190078i | |||||
− | 0.776464i | − | 0.0324373i | |||||||
1.76823 | − | 9.25831i | 0.0738043 | − | 0.386434i | |||||
−4.03517 | − | 2.59180i | −0.168278 | − | 0.108085i | |||||
−10.1773 | − | 21.7022i | −0.424056 | − | 0.904257i | |||||
13.0988 | 0.545309 | 0.272654 | − | 0.962112i | ||||||
0.272654 | + | 0.962112i | ||||||||
1.22646 | − | 6.42166i | 0.0510140 | − | 0.267106i | |||||
− | 0.942492i | − | 0.0391686i | |||||||
−3.86519 | + | 9.74983i | −0.160493 | + | 0.404840i | |||||
7.08360 | 0.293877 | |||||||||
0.0444093 | − | 0.232524i | 0.00184082 | − | 0.00963843i | |||||
17.0653i | 0.706771i | |||||||||
−6.26631 | + | 9.85975i | −0.259302 | + | 0.407999i | |||||
− | 8.79413i | − | 0.363593i | |||||||
26.9606 | + | 5.14914i | 1.11373 | + | 0.212709i | |||||
22.9195i | 0.945990i | 0.881065 | + | 0.472995i | ||||||
−0.881065 | + | 0.472995i | ||||||||
−0.286171 | + | 0.721858i | −0.0118015 | + | 0.0297689i | |||||
16.0339i | 0.660667i | |||||||||
3.47560 | − | 18.1980i | 0.143088 | − | 0.749201i | |||||
− | 0.589498i | − | 0.0242487i | |||||||
8.20526 | − | 8.72234i | 0.337234 | − | 0.358486i | |||||
−17.0185 | −0.698866 | −0.349433 | − | 0.936961i | ||||||
−0.349433 | + | 0.936961i | ||||||||
1.07148 | + | 0.204640i | 0.0439634 | + | 0.00839648i | |||||
3.77065 | 0.154582 | |||||||||
−0.293576 | + | 0.740538i | −0.0120254 | + | 0.0303336i | |||||
0.125485i | 0.00513577i | |||||||||
−13.7091 | + | 14.4336i | −0.560605 | + | 0.590232i | |||||
47.0562i | 1.92266i | 0.275391 | + | 0.961332i | ||||||
−0.275391 | + | 0.961332i | ||||||||
−0.146129 | − | 0.0928711i | −0.00596567 | − | 0.00379145i | |||||
−17.1272 | −0.698633 | −0.349316 | − | 0.937005i | ||||||
−0.349316 | + | 0.937005i | ||||||||
−2.18616 | + | 11.4466i | −0.0891012 | + | 0.466528i | |||||
4.26845 | 0.173825 | |||||||||
13.5407 | − | 34.1562i | 0.550965 | − | 1.38979i | |||||
6.58411i | 0.267682i | |||||||||
0.141992 | + | 0.0271187i | 0.00576802 | + | 0.00110162i | |||||
4.02268i | 0.163276i | 0.996662 | + | 0.0816379i | ||||||
−0.996662 | + | 0.0816379i | ||||||||
−28.4321 | + | 20.6094i | −1.15307 | + | 0.835822i | |||||
− | 0.260306i | − | 0.0105481i | |||||||
−3.63523 | + | 19.0338i | −0.147186 | + | 0.770658i | |||||
5.56034i | 0.224947i | |||||||||
−10.2693 | + | 25.9041i | −0.415113 | + | 1.04711i | |||||
11.6582i | 0.470870i | 0.971890 | + | 0.235435i | ||||||
−0.971890 | + | 0.235435i | ||||||||
33.4683 | + | 6.39204i | 1.35067 | + | 0.257962i | |||||
0.503150 | 0.0202890 | |||||||||
2.58517 | − | 4.06764i | 0.104159 | − | 0.163890i | |||||
− | 20.3418i | − | 0.818928i | −0.912326 | − | 0.409464i | ||||
0.912326 | − | 0.409464i | ||||||||
−0.256569 | − | 0.0490016i | −0.0103207 | − | 0.00197113i | |||||
27.1446 | 1.09103 | 0.545516 | − | 0.838100i | ||||||
0.545516 | + | 0.838100i | ||||||||
−4.80224 | − | 1.90378i | −0.192863 | − | 0.0764578i | |||||
−0.951353 | + | 1.48116i | −0.0381765 | + | 0.0594369i | |||||
21.6508 | + | 4.13505i | 0.868120 | + | 0.165800i | |||||
− | 4.72715i | − | 0.189389i | |||||||
−0.492430 | + | 0.523462i | −0.0197130 | + | 0.0209553i | |||||
1.00000 | 0.0400000 | |||||||||
37.3018 | + | 7.12420i | 1.49088 | + | 0.284740i | |||||
− | 0.798544i | − | 0.0318908i | |||||||
13.6917 | − | 34.5370i | 0.546359 | − | 1.37818i | |||||
−13.9213 | −0.555078 | |||||||||
−3.37500 | − | 0.644583i | −0.134463 | − | 0.0256808i | |||||
−1.23029 | −0.0489770 | −0.0244885 | − | 0.999700i | ||||||
−0.0244885 | + | 0.999700i | ||||||||
22.6891 | − | 35.7002i | 0.902523 | − | 1.42008i | |||||
0.253784 | 0.0100870 | |||||||||
−2.62113 | + | 13.7241i | −0.104098 | + | 0.545053i | |||||
−6.12439 | −0.243039 | |||||||||
−0.924267 | − | 0.366413i | −0.0366496 | − | 0.0145292i | |||||
−18.6154 | −0.737569 | |||||||||
2.92358 | − | 15.3077i | 0.115745 | − | 0.606036i | |||||
− | 6.77587i | − | 0.268049i | |||||||
−2.79675 | − | 10.9626i | −0.110551 | − | 0.433334i | |||||
− | 24.7595i | − | 0.977943i | −0.872300 | − | 0.488971i | ||||
0.872300 | − | 0.488971i | ||||||||
1.06182 | + | 0.202796i | 0.0419069 | + | 0.00800371i | |||||
24.5967 | 0.969999 | 0.485000 | − | 0.874514i | ||||||
0.485000 | + | 0.874514i | ||||||||
4.53445 | + | 6.31917i | 0.178682 | + | 0.249010i | |||||
−0.622073 | −0.0244941 | |||||||||
40.0979 | + | 7.65821i | 1.57763 | + | 0.301308i | |||||
15.0168i | 0.590372i | 0.955440 | + | 0.295186i | ||||||
−0.955440 | + | 0.295186i | ||||||||
13.6029 | − | 21.4036i | 0.534374 | − | 0.840813i | |||||
27.5295i | 1.08063i | |||||||||
0.778674 | − | 4.07709i | 0.0305421 | − | 0.159916i | |||||
0.128213 | 0.00502505 | |||||||||
9.79402 | − | 24.7051i | 0.383563 | − | 0.967528i | |||||
37.5839 | 1.47077 | 0.735385 | − | 0.677650i | ||||||
0.735385 | + | 0.677650i | ||||||||
−0.184385 | + | 0.965427i | −0.00721002 | + | 0.0377512i | |||||
−15.4796 | −0.604836 | |||||||||
23.9468 | + | 22.5272i | 0.934965 | + | 0.879538i | |||||
−12.3757 | −0.482822 | |||||||||
2.13394 | + | 0.407556i | 0.0831895 | + | 0.0158882i | |||||
−11.1544 | −0.434512 | −0.217256 | − | 0.976115i | ||||||
−0.217256 | + | 0.976115i | ||||||||
0.239168 | + | 0.0948148i | 0.00930959 | + | 0.00369066i | |||||
10.2362i | 0.398141i | 0.979985 | + | 0.199070i | ||||||
−0.979985 | + | 0.199070i | ||||||||
22.8732 | + | 4.36851i | 0.888993 | + | 0.169787i | |||||
0.835472 | 0.0324470 | |||||||||
−13.2530 | + | 20.8530i | −0.514317 | + | 0.809255i | |||||
5.03372i | 0.195199i | |||||||||
12.4605 | + | 2.37981i | 0.482836 | + | 0.0922158i | |||||
21.1605 | + | 13.5914i | 0.819338 | + | 0.526263i | |||||
−2.99188 | + | 7.54694i | −0.115759 | + | 0.292000i | |||||
−0.967600 | −0.0374096 | |||||||||
1.97892 | + | 0.377949i | 0.0764522 | + | 0.0146014i | |||||
− | 28.7939i | − | 1.11158i | |||||||
0.164800 | + | 0.227352i | 0.00635728 | + | 0.00877029i | |||||
30.8981 | 1.19103 | 0.595517 | − | 0.803343i | ||||||
0.595517 | + | 0.803343i | ||||||||
9.03927 | + | 1.72639i | 0.348180 | + | 0.0664981i | |||||
− | 0.367063i | − | 0.0141283i | |||||||
8.15369 | + | 3.23242i | 0.313603 | + | 0.124324i | |||||
− | 9.44975i | − | 0.363184i | −0.983374 | − | 0.181592i | ||||
0.983374 | − | 0.181592i | ||||||||
−0.0387347 | + | 0.202812i | −0.00148760 | + | 0.00778897i | |||||
− | 2.21734i | − | 0.0850936i | |||||||
−7.05467 | + | 11.1002i | −0.270534 | + | 0.425674i | |||||
0.621124i | 0.0238015i | |||||||||
7.53972 | + | 1.44000i | 0.288711 | + | 0.0551403i | |||||
44.7124i | 1.71087i | 0.517908 | + | 0.855436i | ||||||
−0.517908 | + | 0.855436i | ||||||||
−34.5813 | − | 13.7093i | −1.32225 | − | 0.524187i | |||||
17.6295 | 0.673587 | |||||||||
−2.87036 | + | 15.0290i | −0.109591 | + | 0.573811i | |||||
−0.776061 | −0.0296086 | |||||||||
−29.6068 | − | 27.8516i | −1.12875 | − | 1.06183i | |||||
− | 23.8352i | − | 0.908048i | |||||||
−0.285926 | + | 0.301037i | −0.0108850 | + | 0.0114603i | |||||
− | 8.99904i | − | 0.342339i | −0.985242 | − | 0.171170i | ||||
0.985242 | − | 0.171170i | ||||||||
34.3143 | + | 13.6035i | 1.30444 | + | 0.517126i | |||||
5.10560 | 0.193946 | |||||||||
5.34008 | + | 1.01989i | 0.202707 | + | 0.0387146i | |||||
−2.39357 | −0.0907933 | |||||||||
0.766300 | + | 0.487018i | 0.0290465 | + | 0.0184604i | |||||
− | 38.2203i | − | 1.44770i | |||||||
−2.05340 | + | 10.7514i | −0.0777222 | + | 0.406948i | |||||
0.829487i | 0.0313741i | |||||||||
−1.50762 | − | 0.597676i | −0.0569827 | − | 0.0225900i | |||||
− | 21.2257i | − | 0.801685i | −0.916147 | − | 0.400842i | ||||
0.916147 | − | 0.400842i | ||||||||
−1.49655 | − | 0.285822i | −0.0564835 | − | 0.0107877i | |||||
− | 18.5846i | − | 0.700930i | |||||||
7.13781 | + | 15.2207i | 0.269016 | + | 0.573650i | |||||
0.115970i | 0.00436770i | |||||||||
5.63922 | − | 29.5266i | 0.212235 | − | 1.11125i | |||||
1.35402 | 0.0509233 | |||||||||
−1.49102 | − | 0.591093i | −0.0560358 | − | 0.0222146i | |||||
− | 22.2321i | − | 0.834944i | −0.908690 | − | 0.417472i | ||||
0.908690 | − | 0.417472i | ||||||||
0.599967 | − | 3.14139i | 0.0225164 | − | 0.117894i | |||||
44.8100 | 1.68051 | |||||||||
13.9160 | + | 8.84422i | 0.521524 | + | 0.331451i | |||||
−6.69441 | + | 10.4225i | −0.250708 | + | 0.390326i | |||||
0.0612376 | − | 0.320636i | 0.00229176 | − | 0.0119995i | |||||
6.16770i | 0.230659i | |||||||||
−6.39468 | + | 16.1304i | −0.238980 | + | 0.602821i | |||||
−0.661307 | −0.0246970 | |||||||||
5.44275 | − | 28.4979i | 0.203122 | − | 1.06353i | |||||
− | 3.06420i | − | 0.114275i | −0.998366 | − | 0.0571377i | ||||
0.998366 | − | 0.0571377i | ||||||||
8.21198 | − | 8.72948i | 0.306042 | − | 0.325329i | |||||
−2.44663 | −0.0911172 | |||||||||
−5.18276 | + | 27.1366i | −0.192882 | + | 1.00992i | |||||
−1.44421 | −0.0537108 | |||||||||
16.1950 | − | 40.8513i | 0.601881 | − | 1.51823i | |||||
−5.24402 | −0.194758 | |||||||||
0.559877 | + | 0.106930i | 0.0207790 | + | 0.00396854i | |||||
−32.1935 | −1.19399 | −0.596995 | − | 0.802245i | ||||||
−0.596995 | + | 0.802245i | ||||||||
−3.61072 | + | 5.68131i | −0.133822 | + | 0.210563i | |||||
26.7979 | 0.992513 | |||||||||
−5.73756 | − | 1.09580i | −0.212356 | − | 0.0405575i | |||||
47.2539i | 1.74775i | |||||||||
1.55950 | + | 0.618242i | 0.0576407 | + | 0.0228509i | |||||
32.2471i | 1.19107i | 0.803328 | + | 0.595536i | ||||||
−0.803328 | + | 0.595536i | ||||||||
−3.05005 | + | 15.9699i | −0.112579 | + | 0.589459i | |||||
−0.388256 | −0.0143211 | |||||||||
−27.0864 | + | 1.52590i | −0.998417 | + | 0.0562456i | |||||
−2.99365 | −0.110273 | |||||||||
−6.53366 | + | 34.2098i | −0.240507 | + | 1.25928i | |||||
9.69792i | 0.356744i | 0.983963 | + | 0.178372i | ||||||
−0.983963 | + | 0.178372i | ||||||||
5.56616 | + | 2.20663i | 0.204616 | + | 0.0811173i | |||||
1.11533i | 0.0409728i | |||||||||
−9.14742 | − | 1.74705i | −0.335812 | − | 0.0641361i | |||||
11.0808 | 0.406514 | 0.203257 | − | 0.979125i | ||||||
0.203257 | + | 0.979125i | ||||||||
−0.239879 | + | 0.377438i | −0.00879438 | + | 0.0138376i | |||||
−0.398304 | −0.0145927 | |||||||||
−23.3508 | − | 4.45972i | −0.854933 | − | 0.163282i | |||||
−26.1742 | −0.957664 | |||||||||
7.20232 | − | 18.1676i | 0.263343 | − | 0.664275i | |||||
10.1255 | 0.369978 | |||||||||
0.0162406 | − | 0.0850346i | 0.000593022 | − | 0.00310503i | |||||
−12.5716 | −0.458743 | −0.229372 | − | 0.973339i | ||||||
−0.229372 | + | 0.973339i | ||||||||
−5.19226 | + | 5.51946i | −0.189342 | + | 0.201274i | |||||
− | 0.240973i | − | 0.00878153i | |||||||
−4.08338 | + | 21.3803i | −0.148708 | + | 0.778625i | |||||
18.3711 | 0.668594 | |||||||||
−0.219385 | + | 0.553392i | −0.00797894 | + | 0.0201267i | |||||
− | 53.8727i | − | 1.95804i | −0.203772 | − | 0.979018i | ||||
0.203772 | − | 0.979018i | ||||||||
−1.07353 | + | 5.62092i | −0.0389923 | + | 0.204161i | |||||
0.333404 | − | 0.519076i | 0.0121018 | − | 0.0188413i | |||||
−14.8185 | − | 9.41780i | −0.537523 | − | 0.341620i | |||||
−19.8277 | −0.718754 | −0.359377 | − | 0.933192i | ||||||
−0.359377 | + | 0.933192i | ||||||||
−0.0994638 | + | 0.520786i | −0.00360319 | + | 0.0188661i | |||||
9.20626i | 0.333289i | |||||||||
23.5827 | + | 9.34905i | 0.853193 | + | 0.338237i | |||||
−13.9327 | −0.503738 | |||||||||
2.94383 | − | 15.4137i | 0.106365 | − | 0.556919i | |||||
− | 38.4506i | − | 1.38837i | |||||||
−0.977620 | + | 0.0597819i | −0.0352768 | + | 0.00215719i | |||||
24.6347i | 0.888350i | 0.895940 | + | 0.444175i | ||||||
−0.895940 | + | 0.444175i | ||||||||
2.36703 | + | 0.452074i | 0.0853018 | + | 0.0162916i | |||||
0.580188i | 0.0208949i | |||||||||
28.6253 | + | 11.3481i | 1.03025 | + | 0.408427i | |||||
14.1357i | 0.508428i | 0.967148 | + | 0.254214i | ||||||
−0.967148 | + | 0.254214i | ||||||||
8.07794 | − | 42.2956i | 0.290356 | − | 1.52028i | |||||
− | 2.58292i | − | 0.0927812i | |||||||
6.52749 | + | 4.14851i | 0.234323 | + | 0.148923i | |||||
−0.148608 | −0.00533129 | |||||||||
25.0634 | + | 4.78681i | 0.898568 | + | 0.171616i | |||||
51.0231 | 1.82809 | |||||||||
−0.334047 | − | 0.132429i | −0.0119608 | − | 0.00474170i | |||||
4.75221i | 0.170047i | |||||||||
22.8673 | + | 21.7195i | 0.817734 | + | 0.776688i | |||||
1.92488i | 0.0687898i | |||||||||
−18.4786 | − | 17.3831i | −0.659949 | − | 0.620825i | |||||
18.5760 | 0.663004 | |||||||||
−0.251397 | + | 1.31630i | −0.00896703 | + | 0.0469508i | |||||
−11.4575 | −0.408417 | −0.204209 | − | 0.978927i | ||||||
−0.204209 | + | 0.978927i | ||||||||
17.9042 | + | 7.09787i | 0.637810 | + | 0.252851i | |||||
1.49441i | 0.0532023i | |||||||||
20.7746 | + | 3.96769i | 0.739126 | + | 0.141164i | |||||
1.93401i | 0.0687654i | |||||||||
−9.55229 | + | 15.0301i | −0.339426 | + | 0.534071i | |||||
40.2166i | 1.42813i | |||||||||
7.04821 | − | 36.9040i | 0.250132 | − | 1.30967i | |||||
− | 0.497124i | − | 0.0176312i | |||||||
−3.81123 | − | 1.51091i | −0.135086 | − | 0.0535528i | |||||
13.6750i | 0.484393i | 0.970227 | + | 0.242197i | ||||||
−0.970227 | + | 0.242197i | ||||||||
0.428040 | + | 0.0817505i | 0.0151525 | + | 0.00289394i | |||||
8.80934 | 0.311652 | |||||||||
4.58014 | − | 3.31999i | 0.161932 | − | 0.117379i | |||||
17.4670i | 0.617166i | |||||||||
1.29807 | + | 0.247915i | 0.0458364 | + | 0.00875420i | |||||
8.67962 | 0.306297 | |||||||||
0.0642775 | − | 0.162138i | 0.00226689 | − | 0.00571818i | |||||
−2.10165 | + | 3.27206i | −0.0740735 | + | 0.115325i | |||||
−10.5308 | − | 2.01125i | −0.370931 | − | 0.0708434i | |||||
− | 0.129164i | − | 0.00454680i | |||||||
−2.53330 | + | 3.98604i | −0.0891213 | + | 0.140228i | |||||
−22.1172 | −0.777598 | −0.388799 | − | 0.921323i | ||||||
−0.388799 | + | 0.921323i | ||||||||
12.4551 | + | 2.37878i | 0.437628 | + | 0.0835817i | |||||
52.1933i | 1.83276i | 0.400314 | + | 0.916378i | ||||||
−0.400314 | + | 0.916378i | ||||||||
7.90600 | + | 3.13422i | 0.277446 | + | 0.109990i | |||||
−1.57914 | −0.0553828 | |||||||||
−8.73911 | − | 1.66906i | −0.306306 | − | 0.0585007i | |||||
13.2878 | 0.465453 | |||||||||
0.829330 | + | 0.780165i | 0.0290324 | + | 0.0273112i | |||||
−63.0827 | −2.20699 | |||||||||
4.17985 | − | 21.8854i | 0.146145 | − | 0.765206i | |||||
−7.13103 | −0.249178 | |||||||||
−6.05820 | + | 15.2816i | −0.211561 | + | 0.533658i | |||||
−30.4424 | −1.06245 | −0.531223 | − | 0.847232i | ||||||
−0.531223 | + | 0.847232i | ||||||||
0.286313 | − | 1.49911i | 0.00998630 | − | 0.0522876i | |||||
− | 13.7812i | − | 0.480383i | −0.970726 | − | 0.240191i | ||||
0.970726 | − | 0.240191i | ||||||||
4.57751 | − | 7.20250i | 0.159465 | − | 0.250911i | |||||
0.128638i | 0.00447860i | |||||||||
−14.7565 | − | 2.81831i | −0.513444 | − | 0.0980617i | |||||
16.4113 | 0.570677 | 0.285339 | − | 0.958427i | ||||||
0.285339 | + | 0.958427i | ||||||||
−16.7550 | − | 23.3496i | −0.582276 | − | 0.811455i | |||||
14.8055 | 0.514215 | 0.257108 | − | 0.966383i | ||||||
0.257108 | + | 0.966383i | ||||||||
−12.1347 | − | 2.31759i | −0.421203 | − | 0.0804446i | |||||
− | 0.370745i | − | 0.0128610i | |||||||
−9.96943 | − | 21.2588i | −0.345628 | − | 0.737017i | |||||
29.4927i | 1.02186i | |||||||||
−0.0388730 | + | 0.203536i | −0.00134606 | + | 0.00704789i | |||||
−4.05918 | −0.140474 | |||||||||
24.2533 | + | 9.61490i | 0.838819 | + | 0.332538i | |||||
−0.948094 | −0.0327709 | |||||||||
6.61375 | − | 34.6291i | 0.228468 | − | 1.19624i | |||||
−52.1192 | −1.79936 | −0.899678 | − | 0.436554i | ||||||
−0.899678 | + | 0.436554i | ||||||||
−0.0753078 | + | 0.118493i | −0.00259837 | + | 0.00408841i | |||||
−1.50027 | −0.0517336 | |||||||||
22.6242 | + | 4.32095i | 0.779683 | + | 0.148910i | |||||
−1.65473 | −0.0569918 | |||||||||
−3.05570 | + | 7.70791i | −0.105181 | + | 0.265317i | |||||
4.38552i | 0.150867i | |||||||||
−7.88498 | − | 1.50594i | −0.271091 | − | 0.0517751i | |||||
5.33896 | 0.183449 | |||||||||
22.2573 | − | 23.6600i | 0.764320 | − | 0.812486i | |||||
− | 1.28874i | − | 0.0442293i | |||||||
−6.45940 | − | 1.23367i | −0.221556 | − | 0.0423144i | |||||
7.75932 | − | 12.0805i | 0.265986 | − | 0.414114i | |||||
−0.257383 | − | 0.102036i | −0.00881780 | − | 0.00349570i | |||||
−55.0356 | −1.88438 | −0.942192 | − | 0.335074i | ||||||
−0.942192 | + | 0.335074i | ||||||||
15.4343 | + | 2.94776i | 0.528150 | + | 0.100870i | |||||
− | 18.5998i | − | 0.636099i | |||||||
−18.9442 | + | 29.8079i | −0.647501 | + | 1.01881i | |||||
−12.5217 | −0.427735 | −0.213867 | − | 0.976863i | ||||||
−0.213867 | + | 0.976863i | ||||||||
0.524469 | + | 0.100167i | 0.0179051 | + | 0.00341965i | |||||
− | 19.8656i | − | 0.677806i | −0.940821 | − | 0.338903i | ||||
0.940821 | − | 0.338903i | ||||||||
7.49010 | − | 18.8936i | 0.255410 | − | 0.644265i | |||||
− | 0.407997i | − | 0.0139045i | |||||||
−6.52628 | + | 34.1712i | −0.222286 | + | 1.16388i | |||||
− | 14.6491i | − | 0.498663i | −0.968418 | − | 0.249331i | ||||
0.968418 | − | 0.249331i | ||||||||
−1.21864 | − | 1.68120i | −0.0414591 | − | 0.0571956i | |||||
18.4562i | 0.627530i | |||||||||
−3.35658 | − | 0.641067i | −0.114061 | − | 0.0217843i | |||||
− | 0.282991i | − | 0.00961088i | |||||||
−1.54375 | + | 3.89407i | −0.0523983 | + | 0.132173i | |||||
−31.4272 | −1.06609 | |||||||||
−0.0851659 | + | 0.445923i | −0.00288740 | + | 0.0151182i | |||||
4.18125 | 0.141676 | |||||||||
−27.1018 | − | 17.2244i | −0.917783 | − | 0.583291i | |||||
8.19314i | 0.277296i | |||||||||
−28.9950 | + | 30.5273i | −0.980769 | + | 1.03260i | |||||
− | 0.810885i | − | 0.0274129i | |||||||
−0.186363 | + | 0.470094i | −0.00629661 | + | 0.0158830i | |||||
−34.0401 | −1.14945 | −0.574726 | − | 0.818346i | ||||||
−0.574726 | + | 0.818346i | ||||||||
−28.1150 | − | 5.36962i | −0.948834 | − | 0.181216i | |||||
1.18810 | 0.0400737 | |||||||||
−5.75942 | + | 6.12236i | −0.194150 | + | 0.206385i | |||||
− | 3.90153i | − | 0.131446i | −0.997838 | − | 0.0657230i | ||||
0.997838 | − | 0.0657230i | ||||||||
5.04171 | − | 26.3980i | 0.169763 | − | 0.888869i | |||||
− | 34.1418i | − | 1.14896i | −0.818518 | − | 0.574481i | ||||
0.818518 | − | 0.574481i | ||||||||
−10.0595 | + | 25.3749i | −0.338339 | + | 0.853450i | |||||
− | 0.801954i | − | 0.0269574i | |||||||
22.8938 | + | 4.37244i | 0.769133 | + | 0.146895i | |||||
21.0867i | 0.708023i | 0.935241 | + | 0.354012i | ||||||
−0.935241 | + | 0.354012i | ||||||||
0.278038 | − | 0.437479i | 0.00933033 | − | 0.0146809i | |||||
4.96618i | 0.166560i | |||||||||
−1.54661 | + | 8.09795i | −0.0518425 | + | 0.271444i | |||||
−18.8418 | −0.631223 | |||||||||
11.6504 | − | 29.3879i | 0.390085 | − | 0.983979i | |||||
11.7602i | 0.393541i | |||||||||
−0.00646869 | + | 0.0338696i | −0.000216345 | + | 0.00113277i | |||||
−8.67585 | −0.290002 | |||||||||
−8.88940 | + | 2.26784i | −0.296974 | + | 0.0757633i | |||||
−0.465668 | + | 0.724998i | −0.0155482 | + | 0.0242070i | |||||
−7.57052 | + | 39.6388i | −0.252632 | + | 1.32276i | |||||
13.5449i | 0.451747i | |||||||||
5.57072 | + | 2.20844i | 0.185691 | + | 0.0736145i | |||||
−37.7625 | −1.25805 | |||||||||
4.58234 | − | 23.9928i | 0.152575 | − | 0.798874i | |||||
0.504430i | 0.0167864i | |||||||||
−5.69342 | − | 3.61842i | −0.189360 | − | 0.120347i | |||||
21.9722 | 0.730380 | |||||||||
0.298358 | − | 1.56218i | 0.00991229 | − | 0.0519001i | |||||
40.0954 | 1.33135 | 0.665673 | − | 0.746243i | ||||||
0.665673 | + | 0.746243i | ||||||||
−18.8647 | − | 7.47867i | −0.626048 | − | 0.248188i | |||||
−5.00317 | −0.165945 | |||||||||
−3.30605 | − | 0.631415i | −0.109594 | − | 0.0209312i | |||||
−43.9481 | −1.45607 | −0.728033 | − | 0.685542i | ||||||
−0.728033 | + | 0.685542i | ||||||||
−1.04150 | + | 1.10713i | −0.0344875 | + | 0.0366609i | |||||
18.3571 | 0.607531 | |||||||||
−5.78734 | − | 1.10531i | −0.191428 | − | 0.0365605i | |||||
0.838787i | 0.0277295i | |||||||||
9.34420 | − | 23.5705i | 0.308741 | − | 0.778791i | |||||
12.5521i | 0.414508i | |||||||||
−0.452833 | + | 2.37101i | −0.0149457 | + | 0.0782548i | |||||
29.9313 | 0.987342 | 0.493671 | − | 0.869649i | ||||||
0.493671 | + | 0.869649i | ||||||||
−5.70036 | − | 12.3088i | −0.187935 | − | 0.405808i | |||||
1.47489 | 0.0485992 | |||||||||
4.21101 | − | 22.0486i | 0.138682 | − | 0.726131i | |||||
− | 6.63744i | − | 0.218474i | |||||||
0.0768839 | − | 0.193938i | 0.00252929 | − | 0.00638008i | |||||
2.99380i | 0.0984355i | |||||||||
54.7728 | + | 10.4609i | 1.79994 | + | 0.343768i | |||||
9.04039 | 0.296925 | |||||||||
−24.0183 | + | 17.4101i | −0.788441 | + | 0.571514i | |||||
−29.9571 | −0.982862 | −0.491431 | − | 0.870917i | ||||||
−0.491431 | + | 0.870917i | ||||||||
−0.219638 | − | 0.0419481i | −0.00720220 | − | 0.00137553i | |||||
−39.3720 | −1.29037 | |||||||||
−25.1931 | − | 9.98747i | −0.825228 | − | 0.327150i | |||||
0.954114 | 0.0312363 | |||||||||
3.00869 | − | 15.7533i | 0.0984472 | − | 0.515463i | |||||
9.77160 | 0.319566 | |||||||||
13.3418 | − | 20.9927i | 0.436089 | − | 0.686166i | |||||
38.2177i | 1.24852i | 0.781218 | + | 0.624259i | ||||||
−0.781218 | + | 0.624259i | ||||||||
0.306473 | − | 1.60467i | 0.0100067 | − | 0.0523944i | |||||
1.64382 | 0.0536442 | |||||||||
−3.52225 | − | 1.39635i | −0.114883 | − | 0.0455438i | |||||
1.41138i | 0.0460096i | 0.999735 | + | 0.0230048i | ||||||
−0.999735 | + | 0.0230048i | ||||||||
0.301684 | − | 1.57960i | 0.00982941 | − | 0.0514661i | |||||
33.1664 | + | 21.3029i | 1.08005 | + | 0.693717i | |||||
35.9053 | − | 38.1680i | 1.16862 | − | 1.24226i | |||||
−0.297646 | −0.00968242 | |||||||||
−5.66541 | + | 29.6637i | −0.184198 | + | 0.964450i | |||||
40.9764i | 1.33155i | 0.746150 | + | 0.665777i | ||||||
−0.746150 | + | 0.665777i | ||||||||
0.674782 | − | 1.70212i | 0.0219159 | − | 0.0552823i | |||||
−12.1229 | −0.393526 | |||||||||
1.64691 | − | 8.62312i | 0.0534329 | − | 0.279771i | |||||
0.604795i | 0.0196118i | |||||||||
9.00099 | + | 5.72053i | 0.291724 | + | 0.185403i | |||||
33.8456i | 1.09637i | 0.836358 | + | 0.548184i | ||||||
−0.836358 | + | 0.548184i | ||||||||
33.8001 | + | 6.45541i | 1.09432 | + | 0.209001i | |||||
12.6841i | 0.410449i | |||||||||
7.96249 | − | 20.0852i | 0.257525 | − | 0.649601i | |||||
− | 0.674581i | − | 0.0218061i | |||||||
6.18456 | − | 32.3819i | 0.199814 | − | 1.04621i | |||||
− | 14.2955i | − | 0.461625i | |||||||
−0.207930 | − | 0.443389i | −0.00671090 | − | 0.0143103i | |||||
24.3285 | 0.784791 | |||||||||
12.2060 | + | 2.33119i | 0.393536 | + | 0.0751607i | |||||
−37.4141 | −1.20565 | |||||||||
17.3891 | − | 43.8635i | 0.560065 | − | 1.41275i | |||||
15.3963i | 0.495625i | |||||||||
0.244106 | + | 0.231853i | 0.00785399 | + | 0.00745976i | |||||
13.1812i | 0.423879i | 0.977283 | + | 0.211940i | ||||||
−0.977283 | + | 0.211940i | ||||||||
−9.98889 | + | 15.7171i | −0.321055 | + | 0.505166i | |||||
1.76704 | 0.0567655 | |||||||||
−0.725460 | + | 3.79846i | −0.0232931 | + | 0.121961i | |||||
−43.9189 | −1.40942 | −0.704712 | − | 0.709494i | ||||||
−0.704712 | + | 0.709494i | ||||||||
1.21621 | − | 3.06785i | 0.0390098 | − | 0.0984012i | |||||
1.94091i | 0.0622228i | |||||||||
−44.2171 | − | 8.44494i | −1.41681 | − | 0.270593i | |||||
− | 0.179670i | − | 0.00575404i | |||||||
−37.5544 | + | 39.9210i | −1.20209 | + | 1.27784i | |||||
40.2462i | 1.28759i | 0.765198 | + | 0.643795i | ||||||
−0.765198 | + | 0.643795i | ||||||||
0.215802 | − | 1.12993i | 0.00690060 | − | 0.0361311i | |||||
− | 12.2504i | − | 0.391523i | |||||||
4.67482 | − | 11.7921i | 0.149332 | − | 0.376685i | |||||
− | 34.0175i | − | 1.08609i | |||||||
−38.3511 | − | 7.32459i | −1.22383 | − | 0.233737i | |||||
−0.484037 | −0.0154384 | −0.00771919 | − | 0.999970i | ||||||
−0.00771919 | + | 0.999970i | ||||||||
1.20108 | + | 0.763340i | 0.0382890 | + | 0.0243344i | |||||
9.62990i | 0.306834i | |||||||||
33.8732 | + | 6.46937i | 1.07874 | + | 0.206027i | |||||
0.0940387 | 0.00299329 | |||||||||
−33.8748 | − | 13.4292i | −1.07770 | − | 0.427240i | |||||
−41.0056 | − | 26.3380i | −1.30390 | − | 0.837499i | |||||
−8.74627 | − | 1.67043i | −0.277975 | − | 0.0530898i | |||||
− | 16.2271i | − | 0.515471i | −0.966215 | − | 0.257736i | ||||
0.966215 | − | 0.257736i | ||||||||
−8.57526 | − | 11.8301i | −0.272265 | − | 0.375607i | |||||
1.00798 | 0.0319873 | |||||||||
−2.54731 | − | 0.486505i | −0.0807956 | − | 0.0154310i | |||||
− | 2.04990i | − | 0.0649862i | |||||||
−0.394150 | + | 0.994233i | −0.0124891 | + | 0.0315035i | |||||
36.2944 | 1.14946 | 0.574728 | − | 0.818345i | ||||||
0.574728 | + | 0.818345i | ||||||||
50.9846 | + | 9.73744i | 1.61389 | + | 0.308233i | |||||
1.09891 | 0.0347681 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 460.2.e.b.91.11 | yes | 32 | |
4.3 | odd | 2 | inner | 460.2.e.b.91.9 | ✓ | 32 | |
23.22 | odd | 2 | inner | 460.2.e.b.91.12 | yes | 32 | |
92.91 | even | 2 | inner | 460.2.e.b.91.10 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.e.b.91.9 | ✓ | 32 | 4.3 | odd | 2 | inner | |
460.2.e.b.91.10 | yes | 32 | 92.91 | even | 2 | inner | |
460.2.e.b.91.11 | yes | 32 | 1.1 | even | 1 | trivial | |
460.2.e.b.91.12 | yes | 32 | 23.22 | odd | 2 | inner |