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 | 91.19 | ||
Character | 460.91 | ||
Dual form | 460.2.e.b.91.18 |
-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 .
0.341935 | + | 1.37225i | 0.241785 | + | 0.970330i | |||||
− | 2.41873i | − | 1.39645i | −0.715877 | − | 0.698227i | ||||
0.715877 | − | 0.698227i | ||||||||
−1.76616 | + | 0.938444i | −0.883080 | + | 0.469222i | |||||
− | 1.00000i | − | 0.447214i | |||||||
3.31911 | − | 0.827049i | 1.35502 | − | 0.337641i | |||||
−2.44077 | −0.922523 | −0.461261 | − | 0.887264i | ||||||
−0.461261 | + | 0.887264i | ||||||||
−1.89170 | − | 2.10273i | −0.668816 | − | 0.743428i | |||||
−2.85025 | −0.950083 | |||||||||
1.37225 | − | 0.341935i | 0.433945 | − | 0.108129i | |||||
−2.59002 | −0.780921 | −0.390460 | − | 0.920620i | ||||||
−0.390460 | + | 0.920620i | ||||||||
2.26984 | + | 4.27186i | 0.655247 | + | 1.23318i | |||||
−0.482508 | −0.133824 | −0.0669118 | − | 0.997759i | ||||||
−0.0669118 | + | 0.997759i | ||||||||
−0.834584 | − | 3.34935i | −0.223052 | − | 0.895151i | |||||
−2.41873 | −0.624513 | |||||||||
2.23865 | − | 3.31489i | 0.559661 | − | 0.828721i | |||||
1.74316i | 0.422779i | 0.977402 | + | 0.211389i | ||||||
−0.977402 | + | 0.211389i | ||||||||
−0.974601 | − | 3.91126i | −0.229716 | − | 0.921894i | |||||
−7.09763 | −1.62831 | −0.814154 | − | 0.580650i | ||||||
−0.814154 | + | 0.580650i | ||||||||
0.938444 | + | 1.76616i | 0.209842 | + | 0.394925i | |||||
5.90355i | 1.28826i | |||||||||
−0.885620 | − | 3.55417i | −0.188815 | − | 0.757751i | |||||
−1.73388 | − | 4.47143i | −0.361540 | − | 0.932357i | |||||
−5.08594 | + | 4.57550i | −1.03816 | + | 0.933970i | |||||
−1.00000 | −0.200000 | |||||||||
−0.164986 | − | 0.662123i | −0.0323565 | − | 0.129853i | |||||
− | 0.362207i | − | 0.0697068i | |||||||
4.31078 | − | 2.29052i | 0.814662 | − | 0.432868i | |||||
1.03287 | 0.191799 | 0.0958994 | − | 0.995391i | ||||||
0.0958994 | + | 0.995391i | ||||||||
−0.827049 | − | 3.31911i | −0.150998 | − | 0.605984i | |||||
2.87696i | 0.516717i | 0.966049 | + | 0.258358i | ||||||
−0.966049 | + | 0.258358i | ||||||||
5.31434 | + | 1.93851i | 0.939451 | + | 0.342684i | |||||
6.26456i | 1.09052i | |||||||||
−2.39206 | + | 0.596048i | −0.410235 | + | 0.102221i | |||||
2.44077i | 0.412565i | |||||||||
5.03400 | − | 2.67480i | 0.839000 | − | 0.445800i | |||||
− | 6.76257i | − | 1.11176i | −0.831263 | − | 0.555880i | ||||
0.831263 | − | 0.555880i | ||||||||
−2.42693 | − | 9.73974i | −0.393700 | − | 1.58000i | |||||
1.16706i | 0.186878i | |||||||||
−2.10273 | + | 1.89170i | −0.332471 | + | 0.299103i | |||||
0.907172 | 0.141677 | 0.0708383 | − | 0.997488i | ||||||
0.0708383 | + | 0.997488i | ||||||||
−8.10117 | + | 2.01863i | −1.25004 | + | 0.311482i | |||||
1.65967 | 0.253098 | 0.126549 | − | 0.991960i | ||||||
0.126549 | + | 0.991960i | ||||||||
4.57439 | − | 2.43059i | 0.689616 | − | 0.366425i | |||||
2.85025i | 0.424890i | |||||||||
5.54305 | − | 3.90827i | 0.817279 | − | 0.576243i | |||||
− | 4.40127i | − | 0.641991i | −0.947081 | − | 0.320995i | ||||
0.947081 | − | 0.320995i | ||||||||
−8.01781 | − | 5.41468i | −1.15727 | − | 0.781541i | |||||
−1.04266 | −0.148952 | |||||||||
−0.341935 | − | 1.37225i | −0.0483570 | − | 0.194066i | |||||
4.21623 | 0.590391 | |||||||||
0.852186 | − | 0.452807i | 0.118177 | − | 0.0627930i | |||||
− | 1.89738i | − | 0.260625i | −0.991473 | − | 0.130312i | ||||
0.991473 | − | 0.130312i | ||||||||
0.497040 | − | 0.123851i | 0.0676385 | − | 0.0168540i | |||||
2.59002i | 0.349238i | |||||||||
4.61719 | + | 5.13228i | 0.616997 | + | 0.685830i | |||||
17.1672i | 2.27386i | |||||||||
0.353174 | + | 1.41736i | 0.0463740 | + | 0.186108i | |||||
− | 3.79671i | − | 0.494290i | −0.968978 | − | 0.247145i | ||||
0.968978 | − | 0.247145i | ||||||||
4.27186 | − | 2.26984i | 0.551495 | − | 0.293035i | |||||
− | 8.17854i | − | 1.04715i | −0.851978 | − | 0.523577i | ||||
0.851978 | − | 0.523577i | ||||||||
−3.94792 | + | 0.983733i | −0.501386 | + | 0.124934i | |||||
6.95679 | 0.876473 | |||||||||
−0.842973 | + | 7.95546i | −0.105372 | + | 0.994433i | |||||
0.482508i | 0.0598477i | |||||||||
−8.59656 | + | 2.14207i | −1.05816 | + | 0.263671i | |||||
15.6210 | 1.90840 | 0.954202 | − | 0.299163i | ||||||
0.954202 | + | 0.299163i | ||||||||
−1.63586 | − | 3.07870i | −0.198377 | − | 0.373348i | |||||
−10.8152 | + | 4.19380i | −1.30199 | + | 0.504874i | |||||
−3.34935 | + | 0.834584i | −0.400324 | + | 0.0997519i | |||||
11.0655i | 1.31323i | 0.754225 | + | 0.656616i | ||||||
−0.754225 | + | 0.656616i | ||||||||
5.39180 | + | 5.99331i | 0.635430 | + | 0.706319i | |||||
5.06355 | 0.592644 | 0.296322 | − | 0.955088i | ||||||
0.296322 | + | 0.955088i | ||||||||
9.27996 | − | 2.31236i | 1.07877 | − | 0.268806i | |||||
2.41873i | 0.279291i | |||||||||
12.5355 | − | 6.66073i | 1.43793 | − | 0.764038i | |||||
6.32163 | 0.720417 | |||||||||
−1.60150 | + | 0.399057i | −0.181334 | + | 0.0451844i | |||||
9.79312 | 1.10181 | 0.550906 | − | 0.834567i | ||||||
0.550906 | + | 0.834567i | ||||||||
−3.31489 | − | 2.23865i | −0.370615 | − | 0.250288i | |||||
−9.42683 | −1.04743 | |||||||||
0.310194 | + | 1.24487i | 0.0342552 | + | 0.137473i | |||||
13.5571 | 1.48808 | 0.744041 | − | 0.668134i | ||||||
0.744041 | + | 0.668134i | ||||||||
−5.54015 | − | 10.4266i | −0.604480 | − | 1.13764i | |||||
1.74316 | 0.189072 | |||||||||
0.567501 | + | 2.27749i | 0.0611952 | + | 0.245588i | |||||
− | 2.49823i | − | 0.267838i | |||||||
4.89953 | + | 5.44612i | 0.522292 | + | 0.580559i | |||||
2.55180i | 0.270490i | 0.990812 | + | 0.135245i | ||||||
−0.990812 | + | 0.135245i | ||||||||
−3.91126 | + | 0.974601i | −0.412284 | + | 0.102732i | |||||
1.17769 | 0.123455 | |||||||||
7.25850 | + | 6.27010i | 0.756751 | + | 0.653703i | |||||
6.95858 | 0.721571 | |||||||||
6.03965 | − | 1.50495i | 0.622943 | − | 0.155224i | |||||
7.09763i | 0.728201i | |||||||||
4.68874 | − | 12.8539i | 0.478542 | − | 1.31190i | |||||
1.34364i | 0.136426i | 0.997671 | + | 0.0682131i | ||||||
−0.997671 | + | 0.0682131i | ||||||||
−0.356523 | − | 1.43080i | −0.0360143 | − | 0.144532i | |||||
7.38220 | 0.741939 | |||||||||
1.76616 | − | 0.938444i | 0.176616 | − | 0.0938444i | |||||
−17.6082 | −1.75208 | −0.876039 | − | 0.482240i | ||||||
−0.876039 | + | 0.482240i | ||||||||
1.44168 | + | 5.78574i | 0.142748 | + | 0.572874i | |||||
−14.8411 | −1.46233 | −0.731167 | − | 0.682199i | ||||||
−0.731167 | + | 0.682199i | ||||||||
0.912758 | + | 1.01459i | 0.0895033 | + | 0.0994883i | |||||
5.90355 | 0.576128 | |||||||||
2.60368 | − | 0.648780i | 0.252892 | − | 0.0630151i | |||||
−13.8673 | −1.34060 | −0.670302 | − | 0.742088i | ||||||
−0.670302 | + | 0.742088i | ||||||||
0.339911 | + | 0.639716i | 0.0327079 | + | 0.0615567i | |||||
− | 16.3923i | − | 1.57010i | −0.619434 | − | 0.785049i | ||||
0.619434 | − | 0.785049i | ||||||||
−3.55417 | + | 0.885620i | −0.338876 | + | 0.0844405i | |||||
−16.3568 | −1.55252 | |||||||||
−5.46401 | + | 8.09086i | −0.516300 | + | 0.764514i | |||||
15.5128i | 1.45932i | 0.683811 | + | 0.729660i | ||||||
−0.683811 | + | 0.729660i | ||||||||
−23.5578 | + | 5.87008i | −2.20639 | + | 0.549784i | |||||
−4.47143 | + | 1.73388i | −0.416963 | + | 0.161686i | |||||
−1.82421 | + | 0.969289i | −0.169374 | + | 0.0899962i | |||||
1.37527 | 0.127144 | |||||||||
5.21006 | − | 1.29823i | 0.479625 | − | 0.119512i | |||||
− | 4.25465i | − | 0.390023i | |||||||
4.57550 | + | 5.08594i | 0.417684 | + | 0.464281i | |||||
−4.29179 | −0.390163 | |||||||||
11.2230 | − | 2.79653i | 1.01609 | − | 0.253186i | |||||
− | 2.19420i | − | 0.197845i | |||||||
−2.69986 | − | 5.08117i | −0.242455 | − | 0.456302i | |||||
1.00000i | 0.0894427i | |||||||||
2.37877 | + | 9.54648i | 0.211918 | + | 0.850468i | |||||
− | 9.72306i | − | 0.862782i | −0.902165 | − | 0.431391i | ||||
0.902165 | − | 0.431391i | ||||||||
−11.2052 | + | 1.56348i | −0.990405 | + | 0.138193i | |||||
− | 4.01430i | − | 0.353439i | |||||||
−0.662123 | + | 0.164986i | −0.0580720 | + | 0.0144703i | |||||
− | 8.55926i | − | 0.747826i | −0.927464 | − | 0.373913i | ||||
0.927464 | − | 0.373913i | ||||||||
−5.87894 | − | 11.0642i | −0.511696 | − | 0.963016i | |||||
17.3236 | 1.50215 | |||||||||
5.34136 | + | 21.4359i | 0.461423 | + | 1.85178i | |||||
−0.362207 | −0.0311738 | |||||||||
3.66540 | − | 3.29753i | 0.314306 | − | 0.282761i | |||||
− | 5.34661i | − | 0.456792i | −0.973568 | − | 0.228396i | ||||
0.973568 | − | 0.228396i | ||||||||
−9.45304 | − | 13.4071i | −0.804696 | − | 1.14129i | |||||
15.1210i | 1.28255i | 0.767312 | + | 0.641274i | ||||||
−0.767312 | + | 0.641274i | ||||||||
−2.29052 | − | 4.31078i | −0.193584 | − | 0.364328i | |||||
−10.6455 | −0.896510 | |||||||||
−15.1847 | + | 3.78368i | −1.27427 | + | 0.317519i | |||||
1.24971 | 0.104506 | |||||||||
−6.38070 | + | 9.44825i | −0.531725 | + | 0.787354i | |||||
− | 1.03287i | − | 0.0857751i | |||||||
1.73141 | + | 6.94848i | 0.143292 | + | 0.575060i | |||||
2.52192i | 0.208004i | |||||||||
6.34629 | + | 11.9438i | 0.521662 | + | 0.981773i | |||||
14.6235i | 1.19800i | 0.800749 | + | 0.599000i | ||||||
−0.800749 | + | 0.599000i | ||||||||
−3.31911 | + | 0.827049i | −0.271004 | + | 0.0675283i | |||||
− | 6.63114i | − | 0.539635i | −0.962911 | − | 0.269817i | ||||
0.962911 | − | 0.269817i | ||||||||
13.4266 | + | 14.9244i | 1.08904 | + | 1.21053i | |||||
− | 4.96844i | − | 0.401675i | |||||||
2.16159 | + | 8.67488i | 0.174186 | + | 0.699042i | |||||
2.87696 | 0.231083 | |||||||||
−1.09522 | − | 2.06121i | −0.0876875 | − | 0.165029i | |||||
− | 17.8150i | − | 1.42180i | −0.703296 | − | 0.710898i | ||||
0.703296 | − | 0.710898i | ||||||||
3.34861 | + | 13.4387i | 0.266402 | + | 1.06912i | |||||
−4.58924 | −0.363951 | |||||||||
1.93851 | − | 5.31434i | 0.153253 | − | 0.420135i | |||||
4.23201 | + | 10.9137i | 0.333529 | + | 0.860120i | |||||
−3.22337 | − | 12.9360i | −0.253251 | − | 1.01635i | |||||
− | 4.03456i | − | 0.316011i | −0.987438 | − | 0.158005i | ||||
0.987438 | − | 0.158005i | ||||||||
−1.60221 | + | 0.851330i | −0.125112 | + | 0.0664777i | |||||
6.26456 | 0.487695 | |||||||||
4.63564 | + | 18.6037i | 0.359795 | + | 1.44393i | |||||
− | 12.1772i | − | 0.942301i | −0.882053 | − | 0.471150i | ||||
0.882053 | − | 0.471150i | ||||||||
12.4136 | − | 11.1677i | 0.957729 | − | 0.861608i | |||||
−12.7672 | −0.982091 | |||||||||
0.596048 | + | 2.39206i | 0.0457148 | + | 0.183463i | |||||
20.2300 | 1.54703 | |||||||||
−2.93125 | + | 1.55751i | −0.223506 | + | 0.118759i | |||||
21.5454 | 1.63807 | 0.819035 | − | 0.573743i | ||||||
0.819035 | + | 0.573743i | ||||||||
3.42820 | − | 0.854233i | 0.259891 | − | 0.0647592i | |||||
2.44077 | 0.184505 | |||||||||
−5.79814 | + | 8.58562i | −0.437051 | + | 0.647166i | |||||
−9.18322 | −0.690253 | |||||||||
−3.50171 | + | 0.872550i | −0.262465 | + | 0.0654004i | |||||
25.0006i | 1.86863i | 0.356449 | + | 0.934315i | ||||||
−0.356449 | + | 0.934315i | ||||||||
−2.67480 | − | 5.03400i | −0.199368 | − | 0.375212i | |||||
− | 20.6924i | − | 1.53805i | −0.639217 | − | 0.769026i | ||||
0.639217 | − | 0.769026i | ||||||||
0.402693 | + | 1.61609i | 0.0298496 | + | 0.119792i | |||||
−19.7817 | −1.46230 | |||||||||
−6.12223 | + | 12.1045i | −0.451337 | + | 0.892354i | |||||
−6.76257 | −0.497194 | |||||||||
2.37938 | + | 9.54894i | 0.174465 | + | 0.700162i | |||||
− | 4.51482i | − | 0.330157i | |||||||
4.13034 | + | 7.77334i | 0.301236 | + | 0.566929i | |||||
0.884062i | 0.0643061i | |||||||||
−9.73974 | + | 2.42693i | −0.706595 | + | 0.176068i | |||||
−3.12789 | −0.226326 | −0.113163 | − | 0.993576i | ||||||
−0.113163 | + | 0.993576i | ||||||||
19.2421 | + | 2.03892i | 1.38868 | + | 0.147147i | |||||
19.7240 | 1.41976 | 0.709882 | − | 0.704320i | ||||||
0.709882 | + | 0.704320i | ||||||||
−1.84382 | + | 0.459439i | −0.132378 | + | 0.0329858i | |||||
1.16706 | 0.0835746 | |||||||||
1.84151 | − | 0.978481i | 0.131536 | − | 0.0698915i | |||||
−10.6999 | −0.762333 | −0.381167 | − | 0.924506i | ||||||
−0.381167 | + | 0.924506i | ||||||||
2.52424 | + | 10.1303i | 0.179390 | + | 0.719926i | |||||
−21.1502 | −1.49930 | −0.749649 | − | 0.661836i | ||||||
−0.749649 | + | 0.661836i | ||||||||
1.89170 | + | 2.10273i | 0.133763 | + | 0.148686i | |||||
− | 37.7829i | − | 2.66500i | |||||||
−6.02086 | − | 24.1629i | −0.423626 | − | 1.70009i | |||||
−2.52099 | −0.176939 | |||||||||
−7.44655 | + | 3.95670i | −0.521363 | + | 0.277024i | |||||
− | 0.907172i | − | 0.0633597i | |||||||
−5.07468 | − | 20.3657i | −0.353570 | − | 1.41895i | |||||
4.94200 | + | 12.7447i | 0.343493 | + | 0.885816i | |||||
−1.08016 | + | 1.59946i | −0.0748959 | + | 0.110902i | |||||
18.3830 | 1.27158 | |||||||||
2.01863 | + | 8.10117i | 0.139299 | + | 0.559034i | |||||
− | 6.84533i | − | 0.471252i | −0.971844 | − | 0.235626i | ||||
0.971844 | − | 0.235626i | ||||||||
1.78058 | + | 3.35107i | 0.122291 | + | 0.230153i | |||||
26.7644 | 1.83387 | |||||||||
−4.74173 | − | 19.0295i | −0.324138 | − | 1.30083i | |||||
− | 1.65967i | − | 0.113189i | |||||||
−0.761624 | + | 0.685185i | −0.0518220 | + | 0.0466210i | |||||
− | 7.02198i | − | 0.476683i | |||||||
22.4944 | − | 5.60510i | 1.52351 | − | 0.379626i | |||||
− | 12.2474i | − | 0.827600i | |||||||
−2.43059 | − | 4.57439i | −0.163870 | − | 0.308405i | |||||
− | 0.841089i | − | 0.0565778i | |||||||
−5.59297 | − | 22.4457i | −0.375376 | − | 1.50646i | |||||
− | 9.20583i | − | 0.616468i | −0.951311 | − | 0.308234i | ||||
0.951311 | − | 0.308234i | ||||||||
−12.9710 | − | 4.73146i | −0.866665 | − | 0.316134i | |||||
2.85025 | 0.190017 | |||||||||
−21.2875 | + | 5.30437i | −1.41602 | + | 0.352841i | |||||
15.6774 | 1.04055 | 0.520274 | − | 0.853999i | ||||||
0.520274 | + | 0.853999i | ||||||||
−16.1105 | − | 30.3201i | −1.06694 | − | 2.00800i | |||||
− | 12.3042i | − | 0.813087i | −0.913631 | − | 0.406543i | ||||
0.913631 | − | 0.406543i | ||||||||
−3.90827 | − | 5.54305i | −0.257704 | − | 0.365498i | |||||
− | 15.2903i | − | 1.00603i | |||||||
−1.95387 | − | 2.17185i | −0.128278 | − | 0.142589i | |||||
−7.21602 | −0.472737 | −0.236369 | − | 0.971663i | ||||||
−0.236369 | + | 0.971663i | ||||||||
0.470252 | + | 1.88722i | 0.0307414 | + | 0.123371i | |||||
−4.40127 | −0.287107 | |||||||||
3.56300 | + | 6.70561i | 0.231932 | + | 0.436498i | |||||
− | 23.6869i | − | 1.53863i | |||||||
5.83846 | − | 1.45481i | 0.378451 | − | 0.0943016i | |||||
0.395962i | 0.0256126i | 0.999918 | + | 0.0128063i | ||||||
−0.999918 | + | 0.0128063i | ||||||||
−5.41468 | + | 8.01781i | −0.349516 | + | 0.517547i | |||||
3.11185i | 0.200452i | 0.994965 | + | 0.100226i | ||||||
−0.994965 | + | 0.100226i | ||||||||
−1.46752 | − | 5.88943i | −0.0943355 | − | 0.378587i | |||||
21.7143i | 1.39297i | |||||||||
7.67510 | + | 14.4446i | 0.491348 | + | 0.924722i | |||||
1.04266i | 0.0666133i | |||||||||
3.01100 | − | 0.750276i | 0.191975 | − | 0.0478358i | |||||
3.42466 | 0.217906 | |||||||||
6.04947 | − | 5.44233i | 0.384142 | − | 0.345588i | |||||
− | 32.7909i | − | 2.07804i | |||||||
−1.37225 | + | 0.341935i | −0.0867889 | + | 0.0216259i | |||||
13.7629 | 0.868704 | 0.434352 | − | 0.900743i | ||||||
0.434352 | + | 0.900743i | ||||||||
−12.2868 | + | 6.52856i | −0.773996 | + | 0.411260i | |||||
4.49080 | + | 11.5811i | 0.282334 | + | 0.728096i | |||||
13.3425 | − | 3.32466i | 0.837183 | − | 0.208607i | |||||
− | 4.21623i | − | 0.264031i | |||||||
−5.97693 | − | 14.8417i | −0.373558 | − | 0.927607i | |||||
−24.5390 | −1.53070 | −0.765351 | − | 0.643613i | ||||||
−0.765351 | + | 0.643613i | ||||||||
5.50864 | − | 1.37263i | 0.342953 | − | 0.0854563i | |||||
16.5058i | 1.02562i | |||||||||
−0.452807 | − | 0.852186i | −0.0280819 | − | 0.0528503i | |||||
−2.94393 | −0.182225 | |||||||||
11.7455 | − | 2.92671i | 0.725638 | − | 0.180813i | |||||
10.3038 | 0.635362 | 0.317681 | − | 0.948198i | ||||||
0.317681 | + | 0.948198i | ||||||||
13.1727 | − | 11.8506i | 0.810723 | − | 0.729356i | |||||
−1.89738 | −0.116555 | |||||||||
5.92357 | + | 23.7724i | 0.363197 | + | 1.45758i | |||||
6.17211 | 0.377727 | |||||||||
−27.5891 | + | 14.6594i | −1.68527 | + | 0.895465i | |||||
−2.31211 | −0.140972 | −0.0704859 | − | 0.997513i | ||||||
−0.0704859 | + | 0.997513i | ||||||||
−0.123851 | − | 0.497040i | −0.00753735 | − | 0.0302489i | |||||
− | 21.0099i | − | 1.27626i | −0.769929 | − | 0.638129i | ||||
0.769929 | − | 0.638129i | ||||||||
5.77838 | + | 3.90232i | 0.350366 | + | 0.236613i | |||||
− | 2.84851i | − | 0.172400i | |||||||
7.33690 | − | 1.82819i | 0.443239 | − | 0.110445i | |||||
2.59002 | 0.156184 | |||||||||
15.1657 | − | 17.5563i | 0.912866 | − | 1.05677i | |||||
−7.45198 | −0.447746 | −0.223873 | − | 0.974618i | ||||||
−0.223873 | + | 0.974618i | ||||||||
−20.7499 | + | 5.17041i | −1.24449 | + | 0.310101i | |||||
− | 8.20005i | − | 0.490924i | |||||||
5.13228 | − | 4.61719i | 0.306712 | − | 0.275930i | |||||
14.8257i | 0.884429i | 0.896909 | + | 0.442215i | ||||||
−0.896909 | + | 0.442215i | ||||||||
−3.64006 | − | 14.6083i | −0.216763 | − | 0.869911i | |||||
−4.08320 | −0.242721 | −0.121360 | − | 0.992609i | ||||||
−0.121360 | + | 0.992609i | ||||||||
−10.3843 | − | 19.5434i | −0.616197 | − | 1.15969i | |||||
17.1672 | 1.01690 | |||||||||
0.427318 | + | 1.71491i | 0.0252679 | + | 0.101405i | |||||
−2.21419 | −0.130700 | |||||||||
−15.1472 | − | 5.52525i | −0.892556 | − | 0.325578i | |||||
13.9614 | 0.821258 | |||||||||
1.41736 | − | 0.353174i | 0.0832301 | − | 0.0207391i | |||||
3.24991 | 0.190513 | |||||||||
−8.94304 | + | 4.75186i | −0.523352 | + | 0.278082i | |||||
− | 7.93619i | − | 0.463637i | −0.972759 | − | 0.231819i | ||||
0.972759 | − | 0.231819i | ||||||||
−3.46071 | + | 0.862333i | −0.201833 | + | 0.0502923i | |||||
−3.79671 | −0.221053 | |||||||||
−14.2199 | + | 12.7927i | −0.826514 | + | 0.743562i | |||||
0.938123i | 0.0544354i | |||||||||
−20.0671 | + | 5.00028i | −1.16246 | + | 0.289658i | |||||
0.836613 | + | 2.15750i | 0.0483826 | + | 0.124771i | |||||
−2.26984 | − | 4.27186i | −0.131049 | − | 0.246636i | |||||
−4.05087 | −0.233488 | |||||||||
9.09961 | − | 2.26742i | 0.523624 | − | 0.130475i | |||||
42.5894i | 2.44670i | |||||||||
−15.8891 | + | 23.5278i | −0.911301 | + | 1.34941i | |||||
−8.17854 | −0.468302 | |||||||||
6.81797 | − | 1.69889i | 0.389757 | − | 0.0971189i | |||||
26.2313i | 1.49710i | 0.663078 | + | 0.748551i | ||||||
−0.663078 | + | 0.748551i | ||||||||
−11.1650 | + | 5.93250i | −0.636186 | + | 0.338035i | |||||
35.8965i | 2.04208i | |||||||||
0.983733 | + | 3.94792i | 0.0558723 | + | 0.224227i | |||||
25.4427i | 1.44272i | 0.692559 | + | 0.721361i | ||||||
−0.692559 | + | 0.721361i | ||||||||
2.45401 | − | 2.20771i | 0.138931 | − | 0.124987i | |||||
− | 27.2137i | − | 1.53821i | −0.639123 | − | 0.769105i | ||||
0.639123 | − | 0.769105i | ||||||||
24.4468 | − | 6.09159i | 1.37961 | − | 0.343768i | |||||
− | 6.95679i | − | 0.391971i | |||||||
−17.2962 | + | 9.19030i | −0.972989 | + | 0.516995i | |||||
−19.7663 | −1.11019 | −0.555094 | − | 0.831788i | ||||||
−0.555094 | + | 0.831788i | ||||||||
−1.56922 | − | 6.29760i | −0.0879977 | − | 0.353152i | |||||
−2.67515 | −0.149780 | |||||||||
7.95546 | + | 0.842973i | 0.444724 | + | 0.0471236i | |||||
33.5413i | 1.87209i | |||||||||
−13.5293 | + | 9.53917i | −0.753958 | + | 0.531597i | |||||
− | 12.3723i | − | 0.688414i | |||||||
16.6493 | − | 8.84655i | 0.924961 | − | 0.491475i | |||||
0.482508 | 0.0267647 | |||||||||
5.53644 | − | 1.37956i | 0.306635 | − | 0.0764066i | |||||
−39.6485 | −2.19257 | |||||||||
−1.71609 | − | 1.90754i | −0.0947554 | − | 0.105326i | |||||
10.7425i | 0.592251i | |||||||||
2.14207 | + | 8.59656i | 0.117917 | + | 0.473225i | |||||
− | 32.1515i | − | 1.76720i | −0.468238 | − | 0.883602i | ||||
0.468238 | − | 0.883602i | ||||||||
−23.9440 | + | 12.7225i | −1.31410 | + | 0.698241i | |||||
19.2750i | 1.05626i | |||||||||
16.7102 | − | 4.16382i | 0.914343 | − | 0.227834i | |||||
− | 15.6210i | − | 0.853464i | |||||||
19.5696 | + | 13.2160i | 1.06761 | + | 0.720990i | |||||
25.7071i | 1.40035i | 0.713970 | + | 0.700176i | ||||||
−0.713970 | + | 0.700176i | ||||||||
−4.36555 | − | 17.5198i | −0.237455 | − | 0.952953i | |||||
37.5212 | 2.03787 | |||||||||
−3.07870 | + | 1.63586i | −0.166966 | + | 0.0887169i | |||||
− | 7.45138i | − | 0.403515i | |||||||
6.91735 | + | 27.7607i | 0.374048 | + | 1.50113i | |||||
19.6303 | 1.05993 | |||||||||
−3.13960 | − | 3.48985i | −0.169276 | − | 0.188160i | |||||
4.19380 | + | 10.8152i | 0.225786 | + | 0.582269i | |||||
7.36715 | + | 29.5658i | 0.396060 | + | 1.58947i | |||||
− | 6.50423i | − | 0.349165i | −0.984643 | − | 0.174583i | ||||
0.984643 | − | 0.174583i | ||||||||
2.34445 | + | 4.41227i | 0.125676 | + | 0.236523i | |||||
13.3980 | 0.717177 | 0.358588 | − | 0.933496i | ||||||
0.358588 | + | 0.933496i | ||||||||
0.834584 | + | 3.34935i | 0.0446104 | + | 0.179030i | |||||
0.174768i | 0.00932841i | |||||||||
−13.7642 | − | 5.02079i | −0.733636 | − | 0.267609i | |||||
−35.4004 | −1.88417 | −0.942087 | − | 0.335370i | ||||||
−0.942087 | + | 0.335370i | ||||||||
−3.14007 | − | 12.6017i | −0.166893 | − | 0.669773i | |||||
11.0655 | 0.587295 | |||||||||
−2.39472 | − | 4.50688i | −0.126920 | − | 0.238864i | |||||
−10.2908 | −0.544649 | |||||||||
−34.3071 | + | 8.54857i | −1.81319 | + | 0.451806i | |||||
−17.3591 | −0.916179 | −0.458089 | − | 0.888906i | ||||||
−0.458089 | + | 0.888906i | ||||||||
5.99331 | − | 5.39180i | 0.315875 | − | 0.284173i | |||||
31.3763 | 1.65138 | |||||||||
28.3952 | − | 7.07546i | 1.49242 | − | 0.371878i | |||||
10.3807i | 0.544845i | |||||||||
−2.07999 | + | 1.10519i | −0.109021 | + | 0.0579279i | |||||
− | 5.06355i | − | 0.265038i | |||||||
−6.76405 | − | 27.1455i | −0.353563 | − | 1.41892i | |||||
−15.7816 | −0.823792 | −0.411896 | − | 0.911231i | ||||||
−0.411896 | + | 0.911231i | ||||||||
−18.7038 | − | 4.26231i | −0.975004 | − | 0.222188i | |||||
−2.58567 | −0.134604 | |||||||||
−2.31236 | − | 9.27996i | −0.120214 | − | 0.482442i | |||||
4.63105i | 0.240432i | |||||||||
−12.2900 | + | 6.53024i | −0.637205 | + | 0.338577i | |||||
32.2760i | 1.67119i | 0.549348 | + | 0.835593i | ||||||
−0.549348 | + | 0.835593i | ||||||||
6.19548 | − | 1.54378i | 0.320361 | − | 0.0798268i | |||||
2.41873 | 0.124903 | |||||||||
−9.25469 | + | 8.32586i | −0.477274 | + | 0.429373i | |||||
−0.498367 | −0.0256672 | |||||||||
−1.21316 | + | 0.302292i | −0.0623981 | + | 0.0155482i | |||||
−9.04274 | −0.464494 | −0.232247 | − | 0.972657i | ||||||
−0.232247 | + | 0.972657i | ||||||||
−6.66073 | − | 12.5355i | −0.341688 | − | 0.643060i | |||||
−23.5174 | −1.20483 | |||||||||
−1.06954 | − | 4.29226i | −0.0547223 | − | 0.219611i | |||||
−5.57417 | −0.284827 | −0.142414 | − | 0.989807i | ||||||
−0.142414 | + | 0.989807i | ||||||||
3.78164 | + | 27.1022i | 0.192981 | + | 1.38306i | |||||
− | 6.32163i | − | 0.322180i | |||||||
6.74433 | + | 27.0663i | 0.343277 | + | 1.37764i | |||||
−4.73048 | −0.240464 | |||||||||
−1.26093 | − | 2.37309i | −0.0640142 | − | 0.120475i | |||||
4.18438i | 0.212156i | 0.994358 | + | 0.106078i | ||||||
−0.994358 | + | 0.106078i | ||||||||
0.399057 | + | 1.60150i | 0.0202071 | + | 0.0810949i | |||||
7.79442 | − | 3.02244i | 0.394181 | − | 0.152851i | |||||
1.97240 | + | 2.19244i | 0.0996213 | + | 0.110735i | |||||
−20.7025 | −1.04430 | |||||||||
−3.65866 | − | 14.6829i | −0.184321 | − | 0.739715i | |||||
− | 9.79312i | − | 0.492746i | |||||||
−13.0382 | + | 6.92778i | −0.655192 | + | 0.348134i | |||||
−10.2111 | −0.512481 | −0.256240 | − | 0.966613i | ||||||
−0.256240 | + | 0.966613i | ||||||||
−7.23200 | − | 29.0234i | −0.362507 | − | 1.45481i | |||||
− | 41.9012i | − | 2.09768i | |||||||
−2.23865 | + | 3.31489i | −0.111932 | + | 0.165744i | |||||
8.28754i | 0.413860i | 0.978356 | + | 0.206930i | ||||||
−0.978356 | + | 0.206930i | ||||||||
51.8477 | − | 12.9193i | 2.58593 | − | 0.644356i | |||||
− | 1.38815i | − | 0.0691489i | |||||||
31.0989 | − | 16.5243i | 1.54723 | − | 0.822114i | |||||
9.42683i | 0.468423i | |||||||||
−0.862015 | − | 3.45944i | −0.0427811 | − | 0.171689i | |||||
17.5152i | 0.868196i | |||||||||
−7.97583 | − | 8.86562i | −0.394863 | − | 0.438913i | |||||
−1.64792 | −0.0814844 | −0.0407422 | − | 0.999170i | ||||||
−0.0407422 | + | 0.999170i | ||||||||
1.24487 | − | 0.310194i | 0.0614798 | − | 0.0153194i | |||||
−12.9320 | −0.637888 | |||||||||
26.2117 | − | 13.9275i | 1.29136 | − | 0.686159i | |||||
9.26689i | 0.455994i | |||||||||
−15.7991 | + | 11.1395i | −0.776483 | + | 0.547478i | |||||
− | 13.5571i | − | 0.665490i | |||||||
−2.56421 | − | 0.935348i | −0.125721 | − | 0.0458592i | |||||
36.5736 | 1.79102 | |||||||||
6.28580 | + | 25.2261i | 0.307448 | + | 1.23385i | |||||
−27.8772 | −1.36189 | −0.680945 | − | 0.732334i | ||||||
−0.680945 | + | 0.732334i | ||||||||
−10.4266 | + | 5.54015i | −0.508767 | + | 0.270332i | |||||
− | 1.00728i | − | 0.0490920i | −0.999699 | − | 0.0245460i | ||||
0.999699 | − | 0.0245460i | ||||||||
9.39353 | − | 2.34066i | 0.457270 | − | 0.113942i | |||||
12.5447i | 0.609944i | |||||||||
−3.98968 | + | 3.58926i | −0.193756 | + | 0.174310i | |||||
− | 1.74316i | − | 0.0845557i | |||||||
9.15169 | + | 36.7276i | 0.443401 | + | 1.77946i | |||||
19.9619i | 0.966024i | |||||||||
24.4919 | − | 13.0137i | 1.18386 | − | 0.629041i | |||||
− | 3.02270i | − | 0.145937i | |||||||
2.27749 | − | 0.567501i | 0.109830 | − | 0.0273673i | |||||
32.5335 | 1.56708 | 0.783542 | − | 0.621339i | ||||||
0.783542 | + | 0.621339i | ||||||||
−1.20067 | − | 0.810853i | −0.0577675 | − | 0.0390122i | |||||
− | 25.0052i | − | 1.20167i | −0.799373 | − | 0.600836i | ||||
0.799373 | − | 0.600836i | ||||||||
9.63594 | − | 2.40106i | 0.462540 | − | 0.115255i | |||||
−2.49823 | −0.119781 | |||||||||
15.3833 | + | 28.9514i | 0.736724 | + | 1.38652i | |||||
12.3065 | + | 31.7365i | 0.588698 | + | 1.51816i | |||||
16.8065 | − | 4.18780i | 0.803045 | − | 0.200101i | |||||
3.60464i | 0.172040i | 0.996293 | + | 0.0860201i | ||||||
−0.996293 | + | 0.0860201i | ||||||||
5.44612 | − | 4.89953i | 0.259634 | − | 0.233576i | |||||
2.97185 | 0.141517 | |||||||||
1.15419 | − | 0.287598i | 0.0548991 | − | 0.0136796i | |||||
− | 8.90760i | − | 0.423213i | −0.977355 | − | 0.211606i | ||||
0.977355 | − | 0.211606i | ||||||||
28.8888 | − | 15.3500i | 1.37100 | − | 0.728477i | |||||
2.55180 | 0.120967 | |||||||||
12.6327 | − | 3.14780i | 0.598177 | − | 0.149053i | |||||
35.3702 | 1.67295 | |||||||||
2.05750 | − | 19.4174i | 0.0972077 | − | 0.917387i | |||||
24.9219 | 1.17614 | 0.588069 | − | 0.808811i | ||||||
0.588069 | + | 0.808811i | ||||||||
0.974601 | + | 3.91126i | 0.0459431 | + | 0.184379i | |||||
−2.34959 | −0.110638 | |||||||||
−14.5579 | − | 27.3981i | −0.684745 | − | 1.28870i | |||||
−16.0389 | −0.753575 | |||||||||
5.36067 | + | 21.5134i | 0.251589 | + | 1.00968i | |||||
− | 1.17769i | − | 0.0552109i | |||||||
36.0981 | − | 32.4752i | 1.69045 | − | 1.52079i | |||||
− | 22.7410i | − | 1.06378i | −0.846813 | − | 0.531890i | ||||
0.846813 | − | 0.531890i | ||||||||
16.8845 | − | 4.20725i | 0.788962 | − | 0.196592i | |||||
0.631385 | 0.0294705 | |||||||||
6.27010 | − | 7.25850i | 0.292345 | − | 0.338429i | |||||
37.7027 | 1.75599 | 0.877996 | − | 0.478668i | ||||||
0.877996 | + | 0.478668i | ||||||||
20.9822 | − | 5.22830i | 0.976180 | − | 0.243242i | |||||
− | 4.38605i | − | 0.203837i | −0.994793 | − | 0.101918i | ||||
0.994793 | − | 0.101918i | ||||||||
2.31223 | − | 3.42384i | 0.107342 | − | 0.158948i | |||||
− | 6.95858i | − | 0.322696i | |||||||
−2.46741 | − | 9.90221i | −0.114301 | − | 0.458711i | |||||
−13.7395 | −0.635788 | −0.317894 | − | 0.948126i | ||||||
−0.317894 | + | 0.948126i | ||||||||
−2.42894 | + | 1.29061i | −0.112278 | + | 0.0596585i | |||||
−38.1271 | −1.76055 | |||||||||
−1.50495 | − | 6.03965i | −0.0694181 | − | 0.278588i | |||||
−43.0898 | −1.98547 | |||||||||
−7.98348 | + | 7.18223i | −0.367469 | + | 0.330589i | |||||
−4.29859 | −0.197649 | |||||||||
32.5045 | − | 8.09939i | 1.49298 | − | 0.372017i | |||||
7.09763 | 0.325661 | |||||||||
3.99275 | + | 7.51439i | 0.183007 | + | 0.344422i | |||||
5.40800i | 0.247615i | |||||||||
−0.543360 | + | 0.135393i | −0.0248527 | + | 0.00619275i | |||||
34.3897 | 1.57130 | 0.785652 | − | 0.618668i | ||||||
0.785652 | + | 0.618668i | ||||||||
−12.8539 | − | 4.68874i | −0.586699 | − | 0.214011i | |||||
3.26299i | 0.148780i | |||||||||
−4.27025 | + | 1.06405i | −0.194504 | + | 0.0484662i | |||||
26.3973 | − | 10.2361i | 1.20112 | − | 0.465757i | |||||
7.58000 | − | 4.02761i | 0.344545 | − | 0.183073i | |||||
1.34364 | 0.0610116 | |||||||||
−29.7976 | + | 7.42489i | −1.35164 | + | 0.336800i | |||||
− | 8.75208i | − | 0.396594i | −0.980142 | − | 0.198297i | ||||
0.980142 | − | 0.198297i | ||||||||
−17.1973 | + | 15.4713i | −0.778485 | + | 0.700353i | |||||
−9.75850 | −0.441295 | |||||||||
−1.43080 | + | 0.356523i | −0.0646369 | + | 0.0161061i | |||||
18.7020i | 0.844009i | 0.906594 | + | 0.422004i | ||||||
−0.906594 | + | 0.422004i | ||||||||
2.05914 | + | 3.87532i | 0.0928331 | + | 0.174713i | |||||
1.80046i | 0.0810885i | |||||||||
1.17101 | + | 4.69950i | 0.0526863 | + | 0.211441i | |||||
− | 7.38220i | − | 0.331805i | |||||||
9.53678 | + | 6.44049i | 0.428214 | + | 0.289186i | |||||
− | 27.0083i | − | 1.21149i | |||||||
44.9974 | − | 11.2124i | 2.01638 | − | 0.502438i | |||||
29.6215i | 1.32604i | 0.748601 | + | 0.663021i | ||||||
−0.748601 | + | 0.663021i | ||||||||
−0.938444 | − | 1.76616i | −0.0419685 | − | 0.0789851i | |||||
−29.4534 | −1.31588 | |||||||||
4.70601 | + | 18.8861i | 0.210039 | + | 0.842929i | |||||
−18.2062 | −0.811774 | −0.405887 | − | 0.913923i | ||||||
−0.405887 | + | 0.913923i | ||||||||
−13.1601 | − | 14.6283i | −0.586199 | − | 0.651595i | |||||
17.6082i | 0.783553i | |||||||||
−14.3566 | + | 10.1225i | −0.638230 | + | 0.450000i | |||||
30.8804i | 1.37144i | |||||||||
9.12454 | + | 17.1725i | 0.404836 | + | 0.761905i | |||||
6.43616 | 0.285278 | 0.142639 | − | 0.989775i | ||||||
0.142639 | + | 0.989775i | ||||||||
5.78574 | − | 1.44168i | 0.256197 | − | 0.0638386i | |||||
−12.3589 | −0.546727 | |||||||||
18.3229 | − | 13.2768i | 0.809764 | − | 0.586756i | |||||
2.57081i | 0.113504i | |||||||||
−8.39076 | − | 33.6738i | −0.370101 | − | 1.48529i | |||||
14.8411i | 0.653976i | |||||||||
3.76720 | + | 7.08990i | 0.165842 | + | 0.312115i | |||||
11.3994i | 0.501344i | |||||||||
−22.6502 | + | 5.64393i | −0.995193 | + | 0.247980i | |||||
− | 52.1126i | − | 2.28749i | |||||||
1.01459 | − | 0.912758i | 0.0444925 | − | 0.0400271i | |||||
− | 16.5369i | − | 0.724496i | −0.932082 | − | 0.362248i | ||||
0.932082 | − | 0.362248i | ||||||||
−1.00663 | − | 4.03982i | −0.0440592 | − | 0.176818i | |||||
9.19096 | 0.401893 | 0.200946 | − | 0.979602i | ||||||
0.200946 | + | 0.979602i | ||||||||
8.03238 | + | 15.1170i | 0.350896 | + | 0.660390i | |||||
− | 5.90355i | − | 0.257652i | |||||||
3.52325 | + | 14.1395i | 0.153621 | + | 0.616511i | |||||
−5.01500 | −0.218457 | |||||||||
20.7663 | + | 14.0241i | 0.903737 | + | 0.610322i | |||||
−16.9873 | + | 15.5059i | −0.738578 | + | 0.674168i | |||||
−0.648780 | − | 2.60368i | −0.0281812 | − | 0.113097i | |||||
10.8216i | 0.469617i | |||||||||
−30.5963 | + | 16.2573i | −1.32652 | + | 0.704842i | |||||
−0.437718 | −0.0189597 | |||||||||
2.11046 | + | 8.46970i | 0.0913286 | + | 0.366520i | |||||
13.8673i | 0.599537i | |||||||||
−29.5501 | − | 32.8467i | −1.27637 | − | 1.41876i | |||||
60.4696 | 2.60945 | |||||||||
−0.790592 | − | 3.17280i | −0.0340848 | − | 0.136789i | |||||
2.70052 | 0.116320 | |||||||||
0.639716 | − | 0.339911i | 0.0275290 | − | 0.0146274i | |||||
−30.3151 | −1.30335 | −0.651673 | − | 0.758500i | ||||||
−0.651673 | + | 0.758500i | ||||||||
28.8309 | − | 7.18401i | 1.23839 | − | 0.308580i | |||||
−50.0493 | −2.14782 | |||||||||
−3.37914 | + | 9.26374i | −0.144879 | + | 0.397180i | |||||
−16.3923 | −0.702169 | |||||||||
3.90888 | − | 0.974006i | 0.167284 | − | 0.0416836i | |||||
− | 3.21629i | − | 0.137519i | −0.997633 | − | 0.0687593i | ||||
0.997633 | − | 0.0687593i | ||||||||
5.01749 | + | 9.44297i | 0.214337 | + | 0.403384i | |||||
23.3109i | 0.994884i | |||||||||
0.885620 | + | 3.55417i | 0.0377629 | + | 0.151550i | |||||
−7.33091 | −0.312307 | |||||||||
29.2774 | + | 14.8080i | 1.24613 | + | 0.630271i | |||||
−23.9027 | −1.01645 | |||||||||
−2.54809 | − | 10.2260i | −0.108258 | − | 0.434461i | |||||
16.3568i | 0.694308i | |||||||||
−14.1902 | − | 26.7061i | −0.601800 | − | 1.13259i | |||||
11.5928i | 0.491202i | 0.969371 | + | 0.245601i | ||||||
−0.969371 | + | 0.245601i | ||||||||
11.2525 | − | 2.80389i | 0.476358 | − | 0.118698i | |||||
−0.800805 | −0.0338705 | |||||||||
8.09086 | + | 5.46401i | 0.341901 | + | 0.230897i | |||||
−10.9201 | −0.461048 | |||||||||
−20.3447 | + | 5.06944i | −0.858188 | + | 0.213841i | |||||
−0.736783 | −0.0310517 | −0.0155258 | − | 0.999879i | ||||||
−0.0155258 | + | 0.999879i | ||||||||
18.8016 | − | 9.99018i | 0.791690 | − | 0.420662i | |||||
15.5128 | 0.652627 | |||||||||
−1.39619 | − | 5.60318i | −0.0586862 | − | 0.235519i | |||||
23.0087 | 0.966274 | |||||||||
23.2678 | − | 20.9325i | 0.976293 | − | 0.878309i | |||||
− | 6.35339i | − | 0.266348i | −0.991093 | − | 0.133174i | ||||
0.991093 | − | 0.133174i | ||||||||
5.87008 | + | 23.5578i | 0.245871 | + | 0.986728i | |||||
19.7922 | 0.828277 | 0.414138 | − | 0.910214i | ||||||
0.414138 | + | 0.910214i | ||||||||
−2.20718 | + | 1.17278i | −0.0922868 | + | 0.0490363i | |||||
7.56553i | 0.316054i | |||||||||
−0.757111 | − | 3.03844i | −0.0316012 | − | 0.126822i | |||||
1.73388 | + | 4.47143i | 0.0723080 | + | 0.186471i | |||||
2.40268 | − | 22.6751i | 0.100112 | − | 0.944794i | |||||
5.69116 | 0.236926 | 0.118463 | − | 0.992958i | ||||||
0.118463 | + | 0.992958i | ||||||||
4.77389 | + | 19.1586i | 0.198568 | + | 0.796891i | |||||
− | 47.7070i | − | 1.98264i | |||||||
0.969289 | + | 1.82421i | 0.0402475 | + | 0.0757463i | |||||
−33.0896 | −1.37279 | |||||||||
1.11126 | + | 4.45969i | 0.0460631 | + | 0.184860i | |||||
4.91425i | 0.203527i | |||||||||
−9.57870 | − | 10.6473i | −0.396369 | − | 0.440588i | |||||
− | 1.37527i | − | 0.0568603i | |||||||
10.8905 | − | 2.71366i | 0.449881 | − | 0.112100i | |||||
− | 29.8611i | − | 1.23250i | −0.787551 | − | 0.616250i | ||||
0.787551 | − | 0.616250i | ||||||||
−2.36668 | − | 4.45411i | −0.0976002 | − | 0.183685i | |||||
− | 20.4196i | − | 0.841374i | |||||||
−1.29823 | − | 5.21006i | −0.0534473 | − | 0.214495i | |||||
25.8801i | 1.06456i | |||||||||
−22.4171 | − | 15.1390i | −0.921339 | − | 0.622209i | |||||
−7.36795 | −0.302565 | −0.151283 | − | 0.988491i | ||||||
−0.151283 | + | 0.988491i | ||||||||
−1.28734 | + | 0.320778i | −0.0528203 | + | 0.0131617i | |||||
−4.25465 | −0.174424 | |||||||||
−13.7233 | − | 25.8274i | −0.562128 | − | 1.05793i | |||||
51.1566i | 2.09370i | |||||||||
−2.67457 | + | 1.88577i | −0.109371 | + | 0.0771149i | |||||
18.7451i | 0.765903i | 0.923768 | + | 0.382951i | ||||||
−0.923768 | + | 0.382951i | ||||||||
5.08594 | − | 4.57550i | 0.207633 | − | 0.186794i | |||||
21.7119 | 0.885645 | 0.442822 | − | 0.896609i | ||||||
0.442822 | + | 0.896609i | ||||||||
−1.38514 | − | 5.55883i | −0.0564540 | − | 0.226561i | |||||
−44.5236 | −1.81314 | |||||||||
6.22296 | + | 11.7117i | 0.253209 | + | 0.476541i | |||||
4.29179i | 0.174486i | |||||||||
−58.4434 | + | 14.5628i | −2.37410 | + | 0.591574i | |||||
37.1837i | 1.50924i | 0.656161 | + | 0.754621i | ||||||
−0.656161 | + | 0.754621i | ||||||||
−37.7192 | − | 13.7588i | −1.52971 | − | 0.557995i | |||||
6.09759i | 0.247087i | |||||||||
−2.79653 | − | 11.2230i | −0.113228 | − | 0.454407i | |||||
2.12365i | 0.0859135i | |||||||||
4.66261 | + | 8.77507i | 0.188475 | + | 0.354711i | |||||
− | 16.3856i | − | 0.661808i | −0.943664 | − | 0.330904i | ||||
0.943664 | − | 0.330904i | ||||||||
−35.9960 | + | 8.96942i | −1.45268 | + | 0.361976i | |||||
−2.19420 | −0.0884788 | |||||||||
−11.9586 | − | 13.2927i | −0.481826 | − | 0.535578i | |||||
21.1275i | 0.850560i | 0.905062 | + | 0.425280i | ||||||
−0.905062 | + | 0.425280i | ||||||||
−49.2591 | + | 12.2743i | −1.98149 | + | 0.493744i | |||||
31.6245 | 1.27110 | 0.635548 | − | 0.772062i | ||||||
0.635548 | + | 0.772062i | ||||||||
−5.08117 | + | 2.69986i | −0.204065 | + | 0.108429i | |||||
−1.61958 | + | 0.628025i | −0.0649916 | + | 0.0252018i | |||||
−34.9138 | + | 8.69975i | −1.39992 | + | 0.348828i | |||||
− | 6.22834i | − | 0.249533i | |||||||
3.86866 | + | 2.61262i | 0.154870 | + | 0.104589i | |||||
1.00000 | 0.0400000 | |||||||||
37.3441 | − | 9.30533i | 1.49257 | − | 0.371916i | |||||
− | 44.4635i | − | 1.77570i | |||||||
16.7184 | + | 31.4642i | 0.667138 | + | 1.25556i | |||||
11.7882 | 0.470028 | |||||||||
9.54648 | − | 2.37877i | 0.380341 | − | 0.0947726i | |||||
9.34449 | 0.371998 | 0.185999 | − | 0.982550i | ||||||
0.185999 | + | 0.982550i | ||||||||
−18.5256 | − | 20.5923i | −0.736909 | − | 0.819119i | |||||
−16.5570 | −0.658082 | |||||||||
−6.75880 | − | 27.1244i | −0.268426 | − | 1.07725i | |||||
−9.72306 | −0.385848 | |||||||||
8.10534 | − | 4.30675i | 0.321398 | − | 0.170774i | |||||
0.503093 | 0.0199333 | |||||||||
−0.914728 | − | 3.67099i | −0.0362144 | − | 0.145336i | |||||
− | 31.5394i | − | 1.24768i | |||||||
1.56348 | + | 11.2052i | 0.0618020 | + | 0.442923i | |||||
22.8441i | 0.902289i | 0.892451 | + | 0.451145i | ||||||
−0.892451 | + | 0.451145i | ||||||||
−46.0272 | + | 11.4690i | −1.81655 | + | 0.452643i | |||||
38.8532 | 1.53222 | 0.766109 | − | 0.642710i | ||||||
0.766109 | + | 0.642710i | ||||||||
−17.7163 | − | 15.3038i | −0.698120 | − | 0.603056i | |||||
−4.01430 | −0.158063 | |||||||||
16.9779 | − | 4.23053i | 0.667988 | − | 0.166448i | |||||
− | 28.2652i | − | 1.11122i | −0.831443 | − | 0.555610i | ||||
0.831443 | − | 0.555610i | ||||||||
17.8327 | + | 19.8221i | 0.700534 | + | 0.778686i | |||||
9.83357i | 0.386001i | |||||||||
0.164986 | + | 0.662123i | 0.00647130 | + | 0.0259706i | |||||
−16.9843 | −0.665666 | |||||||||
3.78621 | + | 7.12568i | 0.148279 | + | 0.279063i | |||||
41.8565 | 1.63797 | 0.818985 | − | 0.573815i | ||||||
0.818985 | + | 0.573815i | ||||||||
−13.5572 | − | 54.4078i | −0.530130 | − | 2.12751i | |||||
−8.55926 | −0.334438 | |||||||||
2.03084 | − | 3.00717i | 0.0792909 | − | 0.117410i | |||||
−14.4324 | −0.563061 | |||||||||
−14.7414 | + | 3.67323i | −0.574679 | + | 0.143197i | |||||
12.5653 | 0.489473 | 0.244737 | − | 0.969590i | ||||||
0.244737 | + | 0.969590i | ||||||||
−11.0642 | + | 5.87894i | −0.430674 | + | 0.228837i | |||||
40.3545i | 1.56961i | 0.619743 | + | 0.784805i | ||||||
−0.619743 | + | 0.784805i | ||||||||
44.1200 | − | 10.9937i | 1.71477 | − | 0.427283i | |||||
−2.03437 | −0.0790082 | |||||||||
−25.6459 | − | 28.5069i | −0.995252 | − | 1.10628i | |||||
− | 17.3236i | − | 0.671782i | |||||||
−26.4502 | + | 6.59080i | −1.02492 | + | 0.255388i | |||||
−1.79087 | − | 4.61839i | −0.0693429 | − | 0.178825i | |||||
11.4276 | + | 21.5069i | 0.442148 | + | 0.832127i | |||||
−22.2664 | −0.860869 | |||||||||
21.4359 | − | 5.34136i | 0.828142 | − | 0.206355i | |||||
21.1826i | 0.817745i | |||||||||
−11.4441 | + | 31.3734i | −0.441466 | + | 1.21026i | |||||
25.6709 | 0.989542 | 0.494771 | − | 0.869023i | ||||||
0.494771 | + | 0.869023i | ||||||||
−35.2766 | + | 8.79015i | −1.35880 | + | 0.338584i | |||||
0.362207i | 0.0139414i | |||||||||
22.5489 | − | 11.9813i | 0.867265 | − | 0.460819i | |||||
− | 31.1431i | − | 1.19693i | −0.801150 | − | 0.598463i | ||||
0.801150 | − | 0.598463i | ||||||||
12.8298 | + | 51.4886i | 0.492726 | + | 1.97741i | |||||
− | 3.27951i | − | 0.125856i | |||||||
−3.29753 | − | 3.66540i | −0.126455 | − | 0.140562i | |||||
− | 37.9195i | − | 1.45308i | |||||||
10.2252 | − | 2.54789i | 0.391542 | − | 0.0975637i | |||||
− | 42.9346i | − | 1.64285i | −0.570319 | − | 0.821423i | ||||
0.570319 | − | 0.821423i | ||||||||
−35.7294 | + | 18.9847i | −1.36615 | + | 0.725899i | |||||
−5.34661 | −0.204283 | |||||||||
6.71228 | + | 26.9377i | 0.256276 | + | 1.02849i | |||||
−29.7606 | −1.13544 | |||||||||
3.71542 | − | 5.50163i | 0.141649 | − | 0.209748i | |||||
0.915499i | 0.0348778i | |||||||||
−13.4071 | + | 9.45304i | −0.510401 | + | 0.359871i | |||||
− | 28.0597i | − | 1.06744i | −0.845660 | − | 0.533721i | ||||
0.845660 | − | 0.533721i | ||||||||
−38.0527 | + | 20.2192i | −1.44655 | + | 0.768619i | |||||
−18.0182 | −0.684456 | |||||||||
8.92545 | − | 2.22402i | 0.338805 | − | 0.0844228i | |||||
15.1210 | 0.573573 | |||||||||
−5.25311 | + | 4.72589i | −0.199119 | + | 0.179134i | |||||
1.58135i | 0.0598978i | |||||||||
4.58124 | + | 18.3854i | 0.173402 | + | 0.695898i | |||||
17.4536i | 0.660156i | |||||||||
−4.31078 | + | 2.29052i | −0.162932 | + | 0.0865736i | |||||
− | 6.27098i | − | 0.236852i | −0.992963 | − | 0.118426i | ||||
0.992963 | − | 0.118426i | ||||||||
−0.239826 | + | 0.0597592i | −0.00905163 | + | 0.00225547i | |||||
47.9982i | 1.81029i | |||||||||
2.18332 | − | 20.6048i | 0.0822869 | − | 0.776573i | |||||
10.6455i | 0.400932i | |||||||||
−12.1046 | − | 48.5783i | −0.455564 | − | 1.82827i | |||||
42.9774 | 1.61633 | |||||||||
16.2190 | − | 8.61794i | 0.609549 | − | 0.323882i | |||||
− | 4.21638i | − | 0.158349i | −0.996861 | − | 0.0791747i | ||||
0.996861 | − | 0.0791747i | ||||||||
3.78368 | + | 15.1847i | 0.141999 | + | 0.569870i | |||||
−27.9128 | −1.04681 | |||||||||
5.36575 | − | 4.82722i | 0.201090 | − | 0.180908i | |||||
12.8641 | − | 4.98831i | 0.481764 | − | 0.186814i | |||||
−3.51880 | − | 14.1216i | −0.131688 | − | 0.528489i | |||||
− | 1.24971i | − | 0.0467363i | |||||||
−23.4616 | − | 44.1550i | −0.876802 | − | 1.65015i | |||||
0.957724 | 0.0357669 | |||||||||
−5.93569 | − | 23.8211i | −0.221518 | − | 0.888995i | |||||
10.0948i | 0.376473i | 0.982124 | + | 0.188237i | ||||||
−0.982124 | + | 0.188237i | ||||||||
9.44825 | + | 6.38070i | 0.352115 | + | 0.237795i | |||||
36.2236 | 1.34904 | |||||||||
10.7287 | + | 43.0563i | 0.399280 | + | 1.60239i | |||||
7.52672 | 0.279922 | |||||||||
19.4186 | + | 36.5461i | 0.721688 | + | 1.35822i | |||||
−1.03287 | −0.0383598 | |||||||||
−14.2449 | + | 3.54952i | −0.528679 | + | 0.131735i | |||||
−35.0141 | −1.29860 | −0.649300 | − | 0.760532i | ||||||
−0.649300 | + | 0.760532i | ||||||||
−2.22783 | − | 2.47636i | −0.0825688 | − | 0.0917802i | |||||
24.2406 | 0.897799 | |||||||||
6.94848 | − | 1.73141i | 0.257175 | − | 0.0640823i | |||||
2.89308i | 0.107004i | |||||||||
34.9376 | − | 18.5640i | 1.29133 | − | 0.686145i | |||||
− | 10.2928i | − | 0.380175i | −0.981767 | − | 0.190087i | ||||
0.981767 | − | 0.190087i | ||||||||
−5.39628 | − | 21.6563i | −0.199180 | − | 0.799350i | |||||
2.52192 | 0.0930224 | |||||||||
−0.546526 | − | 27.1238i | −0.0201452 | − | 0.999797i | |||||
−40.4586 | −1.49031 | |||||||||
−0.884131 | − | 3.54819i | −0.0325453 | − | 0.130611i | |||||
23.0799i | 0.849007i | 0.905426 | + | 0.424503i | ||||||
−0.905426 | + | 0.424503i | ||||||||
11.9438 | − | 6.34629i | 0.439062 | − | 0.233294i | |||||
− | 8.28332i | − | 0.304296i | |||||||
−6.35498 | + | 1.58352i | −0.233299 | + | 0.0581329i | |||||
−11.9643 | −0.438926 | −0.219463 | − | 0.975621i | ||||||
−0.219463 | + | 0.975621i | ||||||||
−13.1635 | − | 14.6320i | −0.482598 | − | 0.536436i | |||||
14.6235 | 0.535762 | |||||||||
−44.2908 | + | 11.0363i | −1.62160 | + | 0.404068i | |||||
−38.6410 | −1.41380 | |||||||||
4.23691 | + | 7.97390i | 0.154917 | + | 0.291555i | |||||
33.8469 | 1.23674 | |||||||||
0.827049 | + | 3.31911i | 0.0301996 | + | 0.121197i | |||||
23.5856 | 0.860650 | 0.430325 | − | 0.902674i | ||||||
0.430325 | + | 0.902674i | ||||||||
−14.5897 | − | 9.85287i | −0.532031 | − | 0.359297i | |||||
− | 33.2886i | − | 1.21310i | |||||||
−0.170409 | − | 0.683886i | −0.00620594 | − | 0.0249057i | |||||
−6.63114 | −0.241332 | |||||||||
−0.829643 | − | 1.56140i | −0.0301738 | − | 0.0567874i | |||||
− | 33.3612i | − | 1.21253i | −0.795261 | − | 0.606267i | ||||
0.795261 | − | 0.606267i | ||||||||
−3.09203 | − | 12.4089i | −0.112308 | − | 0.450713i | |||||
28.0115 | − | 10.8620i | 1.01675 | − | 0.394266i | |||||
14.9244 | − | 13.4266i | 0.541365 | − | 0.487032i | |||||
20.9441 | 0.759223 | 0.379612 | − | 0.925146i | ||||||
0.379612 | + | 0.925146i | ||||||||
−8.04144 | − | 32.2719i | −0.291311 | − | 1.16909i | |||||
40.0098i | 1.44845i | |||||||||
5.52436 | − | 2.93535i | 0.199864 | − | 0.106197i | |||||
−4.96844 | −0.179634 | |||||||||
−1.90601 | − | 7.64918i | −0.0688668 | − | 0.276376i | |||||
1.83194i | 0.0661477i | |||||||||
−35.8981 | + | 14.4566i | −1.29536 | + | 0.521657i | |||||
− | 40.2590i | − | 1.45178i | −0.687813 | − | 0.725888i | ||||
0.687813 | − | 0.725888i | ||||||||
8.67488 | − | 2.16159i | 0.312621 | − | 0.0778983i | |||||
59.3533i | 2.13756i | |||||||||
−34.8358 | + | 18.5099i | −1.25377 | + | 0.666185i | |||||
− | 8.99653i | − | 0.323583i | −0.986825 | − | 0.161791i | ||||
0.986825 | − | 0.161791i | ||||||||
−1.61752 | − | 6.49142i | −0.0581405 | − | 0.233329i | |||||
− | 2.87696i | − | 0.103343i | |||||||
2.82532 | − | 2.54176i | 0.101423 | − | 0.0912439i | |||||
39.9232 | 1.43224 | |||||||||
−5.74203 | + | 1.43079i | −0.205862 | + | 0.0512962i | |||||
−6.43877 | −0.230693 | |||||||||
−2.06121 | + | 1.09522i | −0.0738031 | + | 0.0392150i | |||||
− | 28.6598i | − | 1.02553i | |||||||
6.81274 | + | 9.66244i | 0.243623 | + | 0.345528i | |||||
− | 0.374112i | − | 0.0133697i | |||||||
−2.33415 | + | 3.45631i | −0.0833626 | + | 0.123440i | |||||
−17.8150 | −0.635846 | |||||||||
−7.07892 | − | 28.4091i | −0.252497 | − | 1.01332i | |||||
17.3155 | 0.617232 | 0.308616 | − | 0.951187i | ||||||
0.308616 | + | 0.951187i | ||||||||
18.8977 | − | 10.0412i | 0.673202 | − | 0.357704i | |||||
− | 24.9222i | − | 0.887254i | |||||||
13.4387 | − | 3.34861i | 0.478126 | − | 0.119138i | |||||
− | 37.8630i | − | 1.34626i | |||||||
−13.9649 | − | 15.5228i | −0.496221 | − | 0.551579i | |||||
3.94621i | 0.140134i | |||||||||
−3.49154 | − | 14.0122i | −0.123910 | − | 0.497275i | |||||
4.58924i | 0.162764i | |||||||||
37.3547 | − | 19.8483i | 1.32400 | − | 0.703504i | |||||
− | 46.3144i | − | 1.64054i | −0.571976 | − | 0.820271i | ||||
0.571976 | − | 0.820271i | ||||||||
57.4991 | − | 14.3275i | 2.03545 | − | 0.507188i | |||||
7.67212 | 0.271420 | |||||||||
−5.31434 | − | 1.93851i | −0.187890 | − | 0.0685368i | |||||
− | 7.27326i | − | 0.256988i | |||||||
−11.3726 | + | 2.83380i | −0.401581 | + | 0.100065i | |||||
−13.1147 | −0.462808 | |||||||||
35.4571 | + | 66.7306i | 1.25048 | + | 2.35341i | |||||
10.9137 | − | 4.23201i | 0.384657 | − | 0.149159i | |||||
1.90490 | − | 0.474659i | 0.0670972 | − | 0.0167192i | |||||
5.59237i | 0.196861i | |||||||||
33.3093 | + | 37.0253i | 1.17182 | + | 1.30254i | |||||
16.4030 | 0.576698 | 0.288349 | − | 0.957525i | ||||||
0.288349 | + | 0.957525i | ||||||||
−12.9360 | + | 3.22337i | −0.454525 | + | 0.113258i | |||||
10.0839i | 0.354095i | 0.984202 | + | 0.177048i | ||||||
−0.984202 | + | 0.177048i | ||||||||
4.45247 | − | 2.36581i | 0.156251 | − | 0.0830236i | |||||
−50.8172 | −1.78224 | |||||||||
−24.0353 | + | 5.98906i | −0.842436 | + | 0.209917i | |||||
−4.03456 | −0.141324 | |||||||||
9.43865 | − | 13.9763i | 0.330419 | − | 0.489270i | |||||
−11.7797 | −0.412121 | |||||||||
−0.563482 | − | 2.26137i | −0.0197017 | − | 0.0790668i | |||||
−3.35671 | −0.117293 | |||||||||
0.851330 | + | 1.60221i | 0.0297297 | + | 0.0559517i | |||||
29.6987 | 1.03649 | 0.518246 | − | 0.855232i | ||||||
0.518246 | + | 0.855232i | ||||||||
−4.42191 | − | 17.7460i | −0.154232 | − | 0.618962i | |||||
− | 25.1840i | − | 0.877857i | −0.898522 | − | 0.438929i | ||||
0.898522 | − | 0.438929i | ||||||||
28.0748 | + | 31.2068i | 0.978031 | + | 1.08714i | |||||
− | 6.26456i | − | 0.218104i | |||||||
−12.7165 | + | 3.16868i | −0.442464 | + | 0.110252i | |||||
30.3418 | 1.05509 | 0.527544 | − | 0.849528i | ||||||
0.527544 | + | 0.849528i | ||||||||
−20.6885 | − | 17.8714i | −0.718976 | − | 0.621072i | |||||
15.3213 | 0.532129 | 0.266065 | − | 0.963955i | ||||||
0.266065 | + | 0.963955i | ||||||||
18.6037 | − | 4.63564i | 0.645745 | − | 0.160905i | |||||
18.0243i | 0.625256i | |||||||||
0.406741 | − | 3.83857i | 0.0141012 | − | 0.133079i | |||||
− | 1.81753i | − | 0.0629737i | |||||||
12.5058 | + | 50.1883i | 0.433041 | + | 1.73788i | |||||
−12.1772 | −0.421410 | |||||||||
−32.4673 | + | 17.2514i | −1.12291 | + | 0.596653i | |||||
1.04205 | 0.0360187 | |||||||||
−9.53220 | − | 38.2546i | −0.329284 | − | 1.32148i | |||||
−17.8938 | −0.617764 | −0.308882 | − | 0.951100i | ||||||
−0.308882 | + | 0.951100i | ||||||||
−11.1677 | − | 12.4136i | −0.385323 | − | 0.428310i | |||||
−27.9332 | −0.963213 | |||||||||
1.38225 | − | 0.344426i | 0.0476355 | − | 0.0118697i | |||||
35.8594 | 1.23506 | |||||||||
6.42396 | + | 12.0900i | 0.221122 | + | 0.416153i | |||||
12.7672i | 0.439205i | |||||||||
−17.2145 | + | 4.28948i | −0.591847 | + | 0.147475i | |||||
10.4753 | 0.359934 | |||||||||
−6.28959 | − | 4.24756i | −0.215985 | − | 0.145862i | |||||
9.87615i | 0.338949i | |||||||||
2.39206 | − | 0.596048i | 0.0820470 | − | 0.0204443i | |||||
−30.2383 | + | 11.7255i | −1.03656 | + | 0.401945i | |||||
−47.2702 | + | 25.1169i | −1.61945 | + | 0.860491i | |||||
−28.3424 | −0.970425 | −0.485213 | − | 0.874396i | ||||||
−0.485213 | + | 0.874396i | ||||||||
−27.3928 | + | 6.82568i | −0.937362 | + | 0.233570i | |||||
− | 20.2300i | − | 0.691852i | |||||||
26.2328 | + | 29.1593i | 0.896617 | + | 0.996643i | |||||
−0.739951 | −0.0252763 | −0.0126381 | − | 0.999920i | ||||||
−0.0126381 | + | 0.999920i | ||||||||
4.14791 | − | 1.03357i | 0.141607 | − | 0.0352854i | |||||
− | 30.7839i | − | 1.05033i | −0.851000 | − | 0.525166i | ||||
0.851000 | − | 0.525166i | ||||||||
1.55751 | + | 2.93125i | 0.0531107 | + | 0.0999548i | |||||
5.35554i | 0.182516i | |||||||||
11.1244 | + | 44.6442i | 0.378897 | + | 1.52059i | |||||
12.5426i | 0.426955i | 0.976948 | + | 0.213478i | ||||||
−0.976948 | + | 0.213478i | ||||||||
0.702143 | − | 1.92489i | 0.0238874 | − | 0.0654861i | |||||
− | 21.5454i | − | 0.732567i | |||||||
34.3134 | − | 8.55015i | 1.16602 | − | 0.290546i | |||||
− | 33.7688i | − | 1.14685i | |||||||
6.58973 | + | 12.4019i | 0.223670 | + | 0.420949i | |||||
−25.3644 | −0.860428 | |||||||||
−0.854233 | − | 3.42820i | −0.0289612 | − | 0.116227i | |||||
−7.53723 | −0.255389 | |||||||||
−34.4686 | + | 31.0092i | −1.16725 | + | 1.05011i | |||||
− | 3.82971i | − | 0.129616i | |||||||
−39.3425 | + | 27.7394i | −1.33078 | + | 0.938300i | |||||
− | 2.44077i | − | 0.0825129i | |||||||
11.4935 | + | 21.6308i | 0.388328 | + | 0.730837i | |||||
−11.7013 | −0.395126 | −0.197563 | − | 0.980290i | ||||||
−0.197563 | + | 0.980290i | ||||||||
−4.94648 | + | 1.23255i | −0.166936 | + | 0.0415967i | |||||
−19.1955 | −0.647448 | |||||||||
8.58562 | + | 5.79814i | 0.289421 | + | 0.195455i | |||||
− | 7.76026i | − | 0.261450i | −0.991419 | − | 0.130725i | ||||
0.991419 | − | 0.130725i | ||||||||
1.01618 | + | 4.07813i | 0.0342166 | + | 0.137318i | |||||
− | 49.0477i | − | 1.65059i | −0.564704 | − | 0.825294i | ||||
0.564704 | − | 0.825294i | ||||||||
0.789315 | + | 1.48550i | 0.0265475 | + | 0.0499627i | |||||
9.18322i | 0.308691i | |||||||||
12.2235 | − | 3.04582i | 0.410656 | − | 0.102326i | |||||
− | 1.36114i | − | 0.0457026i | −0.999739 | − | 0.0228513i | ||||
0.999739 | − | 0.0228513i | ||||||||
30.9421 | + | 34.3940i | 1.03835 | + | 1.15419i | |||||
23.7317i | 0.795936i | |||||||||
0.872550 | + | 3.50171i | 0.0292479 | + | 0.117378i | |||||
24.4157 | 0.817956 | |||||||||
8.63915 | + | 16.2590i | 0.289260 | + | 0.544390i | |||||
31.2385i | 1.04536i | |||||||||
12.0943 | + | 48.5369i | 0.404494 | + | 1.62332i | |||||
25.0006 | 0.835677 | |||||||||
27.3492 | − | 3.81609i | 0.913671 | − | 0.127487i | |||||
5.21840 | − | 2.02354i | 0.174237 | − | 0.0675640i | |||||
8.52169 | + | 34.1992i | 0.284372 | + | 1.14124i | |||||
2.97152i | 0.0991057i | |||||||||
−5.03400 | + | 2.67480i | −0.167800 | + | 0.0891600i | |||||
3.30744 | 0.110187 | |||||||||
−0.803409 | − | 3.22424i | −0.0267506 | − | 0.107355i | |||||
9.79797i | 0.326056i | |||||||||
32.6192 | − | 29.3455i | 1.08490 | − | 0.976015i | |||||
−20.6924 | −0.687838 | |||||||||
−5.48428 | − | 22.0095i | −0.182203 | − | 0.731216i | |||||
−13.2300 | −0.439294 | −0.219647 | − | 0.975579i | ||||||
−0.219647 | + | 0.975579i | ||||||||
−27.6889 | + | 14.7124i | −0.918888 | + | 0.488248i | |||||
50.1877 | 1.66462 | |||||||||
1.61609 | − | 0.402693i | 0.0535728 | − | 0.0133492i | |||||
−12.0129 | −0.398004 | −0.199002 | − | 0.979999i | ||||||
−0.199002 | + | 0.979999i | ||||||||
56.9074 | + | 38.4314i | 1.88439 | + | 1.27259i | |||||
−35.1131 | −1.16207 | |||||||||
31.2065 | − | 7.77596i | 1.03222 | − | 0.257206i | |||||
19.7817i | 0.653962i | |||||||||
11.5468 | + | 21.7313i | 0.381518 | + | 0.718021i | |||||
20.8911i | 0.689886i | |||||||||
0.215893 | + | 0.866420i | 0.00712553 | + | 0.0285961i | |||||
21.1075 | 0.696273 | 0.348136 | − | 0.937444i | ||||||
0.348136 | + | 0.937444i | ||||||||
12.1045 | + | 6.12223i | 0.399073 | + | 0.201844i | |||||
63.4465 | 2.09063 | |||||||||
12.8919 | + | 51.7377i | 0.424572 | + | 1.70389i | |||||
− | 5.33918i | − | 0.175741i | |||||||
14.3491 | + | 27.0052i | 0.472051 | + | 0.888404i | |||||
6.76257i | 0.222352i | |||||||||
6.01877 | − | 1.49974i | 0.197789 | − | 0.0492847i | |||||
42.3007 | 1.38934 | |||||||||
5.48901 | + | 2.00223i | 0.180186 | + | 0.0657264i | |||||
−16.4375 | −0.539295 | −0.269648 | − | 0.962959i | ||||||
−0.269648 | + | 0.962959i | ||||||||
9.54894 | − | 2.37938i | 0.313122 | − | 0.0780231i | |||||
7.40043 | 0.242539 | |||||||||
12.7447 | − | 6.77183i | 0.417465 | − | 0.221819i | |||||
61.5389 | 2.01469 | |||||||||
−4.69802 | − | 18.8541i | −0.153724 | − | 0.616925i | |||||
−4.51482 | −0.147651 | |||||||||
−2.60159 | − | 2.89182i | −0.0850356 | − | 0.0945221i | |||||
22.1718i | 0.724322i | 0.932115 | + | 0.362161i | ||||||
−0.932115 | + | 0.362161i | ||||||||
−13.0370 | − | 52.3201i | −0.425673 | − | 1.70831i | |||||
−65.8226 | −2.14804 | |||||||||
7.77334 | − | 4.13034i | 0.253538 | − | 0.134717i | |||||
− | 14.7090i | − | 0.479500i | −0.970835 | − | 0.239750i | ||||
0.970835 | − | 0.239750i | ||||||||
−14.7339 | − | 59.1301i | −0.480057 | − | 1.92656i | |||||
−1.57293 | − | 4.05635i | −0.0512217 | − | 0.132093i | |||||
−12.5857 | − | 8.49950i | −0.409629 | − | 0.276635i | |||||
0.884062 | 0.0287585 | |||||||||
−1.46984 | − | 5.89875i | −0.0477886 | − | 0.191785i | |||||
− | 10.0702i | − | 0.327237i | −0.986524 | − | 0.163619i | ||||
0.986524 | − | 0.163619i | ||||||||
22.2288 | + | 41.8349i | 0.721959 | + | 1.35873i | |||||
−2.44320 | −0.0793097 | |||||||||
2.42693 | + | 9.73974i | 0.0787400 | + | 0.315999i | |||||
47.8094i | 1.55032i | |||||||||
−8.94639 | + | 8.04850i | −0.289954 | + | 0.260853i | |||||
− | 22.9968i | − | 0.744938i | −0.928045 | − | 0.372469i | ||||
0.928045 | − | 0.372469i | ||||||||
−7.42115 | + | 1.84919i | −0.240268 | + | 0.0598696i | |||||
3.12789i | 0.101216i | |||||||||
−0.371588 | − | 0.699332i | −0.0120180 | − | 0.0226180i | |||||
6.47046i | 0.209160i | |||||||||
11.7590 | + | 47.1914i | 0.379918 | + | 1.52468i | |||||
13.0498i | 0.421401i | |||||||||
2.03892 | − | 19.2421i | 0.0658060 | − | 0.621036i | |||||
22.7231 | 0.733004 | |||||||||
−4.47765 | + | 1.11573i | −0.144365 | + | 0.0359726i | |||||
39.5253 | 1.27369 | |||||||||
−2.92030 | − | 5.49602i | −0.0940564 | − | 0.177015i | |||||
− | 19.7240i | − | 0.634938i | |||||||
23.0727 | + | 32.7237i | 0.742350 | + | 1.05287i | |||||
16.1903i | 0.520646i | 0.965522 | + | 0.260323i | ||||||
−0.965522 | + | 0.260323i | ||||||||
8.11877 | + | 9.02450i | 0.260947 | + | 0.290058i | |||||
−29.9253 | −0.961338 | |||||||||
0.459439 | + | 1.84382i | 0.0147517 | + | 0.0592014i | |||||
−56.0221 | −1.79784 | −0.898918 | − | 0.438118i | ||||||
−0.898918 | + | 0.438118i | ||||||||
−20.3777 | − | 38.3510i | −0.653614 | − | 1.23011i | |||||
− | 36.9069i | − | 1.18318i | |||||||
12.0101 | − | 2.99264i | 0.384827 | − | 0.0958905i | |||||
− | 1.16706i | − | 0.0373757i | |||||||
−27.1109 | − | 18.3089i | −0.867800 | − | 0.586052i | |||||
− | 27.2869i | − | 0.872984i | −0.899708 | − | 0.436492i | ||||
0.899708 | − | 0.436492i | ||||||||
−3.33678 | − | 13.3911i | −0.106698 | − | 0.428201i | |||||
− | 6.60921i | − | 0.211231i | |||||||
−0.978481 | − | 1.84151i | −0.0312564 | − | 0.0588249i | |||||
46.7221i | 1.49172i | |||||||||
−25.6639 | + | 6.39487i | −0.818967 | + | 0.204069i | |||||
49.0064 | 1.56306 | 0.781531 | − | 0.623866i | ||||||
0.781531 | + | 0.623866i | ||||||||
−4.61382 | + | 4.15077i | −0.147083 | + | 0.132322i | |||||
10.6999i | 0.340926i | |||||||||
−2.47068 | + | 0.615640i | −0.0786826 | + | 0.0196060i | |||||
25.9831 | 0.827051 | |||||||||
−6.04850 | + | 3.21385i | −0.192428 | + | 0.102246i | |||||
−2.87768 | − | 7.42111i | −0.0915050 | − | 0.235977i | |||||
10.1303 | − | 2.52424i | 0.321961 | − | 0.0802255i | |||||
− | 7.65834i | − | 0.243275i | −0.992575 | − | 0.121638i | ||||
0.992575 | − | 0.121638i | ||||||||
−5.57702 | + | 15.2891i | −0.177071 | + | 0.485430i | |||||
−77.7657 | −2.46782 | |||||||||
37.0622 | − | 9.23507i | 1.17554 | − | 0.292919i | |||||
21.1502i | 0.670506i | |||||||||
30.7724 | + | 57.9139i | 0.975061 | + | 1.83507i | |||||
60.3120 | 1.91010 | 0.955050 | − | 0.296445i | ||||||
0.955050 | + | 0.296445i | ||||||||
−40.6482 | + | 10.1286i | −1.28670 | + | 0.320617i | |||||
−2.44945 | −0.0774971 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 460.2.e.b.91.19 | yes | 32 | |
4.3 | odd | 2 | inner | 460.2.e.b.91.17 | ✓ | 32 | |
23.22 | odd | 2 | inner | 460.2.e.b.91.20 | yes | 32 | |
92.91 | even | 2 | inner | 460.2.e.b.91.18 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.e.b.91.17 | ✓ | 32 | 4.3 | odd | 2 | inner | |
460.2.e.b.91.18 | yes | 32 | 92.91 | even | 2 | inner | |
460.2.e.b.91.19 | yes | 32 | 1.1 | even | 1 | trivial | |
460.2.e.b.91.20 | yes | 32 | 23.22 | odd | 2 | inner |