Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(77,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.77");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 416.bg (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 77.1 | ||
Character | 416.77 | ||
Dual form | 416.2.bg.a.389.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.41210 | − | 0.0772002i | −0.998509 | − | 0.0545888i | |||||
−0.397360 | + | 0.959313i | −0.229416 | + | 0.553859i | −0.996107 | − | 0.0881575i | ||
0.766690 | + | 0.642017i | ||||||||
1.98808 | + | 0.218030i | 0.994040 | + | 0.109015i | |||||
1.53059 | + | 3.69517i | 0.684500 | + | 1.65253i | 0.755577 | + | 0.655059i | ||
−0.0710768 | + | 0.997471i | ||||||||
0.635174 | − | 1.32397i | 0.259309 | − | 0.540510i | |||||
2.05838 | + | 2.05838i | 0.777995 | + | 0.777995i | 0.979490 | − | 0.201495i | ||
−0.201495 | + | 0.979490i | ||||||||
−2.79055 | − | 0.461361i | −0.986607 | − | 0.163116i | |||||
1.35893 | + | 1.35893i | 0.452978 | + | 0.452978i | |||||
−1.87609 | − | 5.33613i | −0.593270 | − | 1.68743i | |||||
−3.54378 | + | 1.46788i | −1.06849 | + | 0.442583i | −0.846457 | − | 0.532456i | ||
−0.222032 | + | 0.975039i | ||||||||
−0.999143 | + | 1.82055i | −0.288428 | + | 0.525549i | |||||
2.84949 | + | 2.20917i | 0.790305 | + | 0.612713i | |||||
−2.74774 | − | 3.06556i | −0.734365 | − | 0.819304i | |||||
−4.15302 | −1.07231 | |||||||||
3.90493 | + | 0.866921i | 0.976232 | + | 0.216730i | |||||
− | 7.36012i | − | 1.78509i | −0.450957 | − | 0.892546i | ||||
0.450957 | − | 0.892546i | ||||||||
−1.81405 | − | 2.02387i | −0.427575 | − | 0.477030i | |||||
2.65863 | − | 6.41850i | 0.609932 | − | 1.47251i | −0.253143 | − | 0.967429i | ||
0.863075 | − | 0.505076i | ||||||||
2.23728 | + | 7.68001i | 0.500271 | + | 1.71730i | |||||
−2.79255 | + | 1.15671i | −0.609384 | + | 0.252415i | |||||
5.11751 | − | 1.79922i | 1.09106 | − | 0.383595i | |||||
−1.16754 | − | 1.16754i | −0.243448 | − | 0.243448i | 0.574827 | − | 0.818275i | ||
−0.818275 | + | 0.574827i | ||||||||
1.55144 | − | 2.49368i | 0.316687 | − | 0.509020i | |||||
−7.77604 | + | 7.77604i | −1.55521 | + | 1.55521i | |||||
−3.85322 | − | 3.33956i | −0.755679 | − | 0.654942i | |||||
−4.72157 | + | 1.95574i | −0.908666 | + | 0.376382i | |||||
3.64344 | + | 4.54101i | 0.688545 | + | 0.858171i | |||||
0.216147 | − | 0.521825i | 0.0401375 | − | 0.0969004i | −0.902540 | − | 0.430607i | ||
0.942677 | + | 0.333707i | ||||||||
5.86450 | + | 0.320614i | 1.07071 | + | 0.0585358i | |||||
− | 2.50053i | − | 0.449108i | −0.974462 | − | 0.224554i | ||||
0.974462 | − | 0.224554i | ||||||||
−5.44724 | − | 1.52564i | −0.962945 | − | 0.269698i | |||||
− | 3.98287i | − | 0.693329i | |||||||
−0.568203 | + | 10.3933i | −0.0974460 | + | 1.78243i | |||||
−4.45553 | + | 10.7566i | −0.753122 | + | 1.81820i | |||||
2.40538 | + | 2.99796i | 0.400897 | + | 0.499660i | |||||
1.41369 | + | 3.41294i | 0.232409 | + | 0.561084i | 0.996460 | − | 0.0840716i | ||
−0.764051 | + | 0.645156i | ||||||||
−4.24977 | + | 8.85835i | −0.689405 | + | 1.43701i | |||||
−3.25156 | + | 1.85571i | −0.520666 | + | 0.297152i | |||||
−2.56637 | − | 11.0177i | −0.405779 | − | 1.74205i | |||||
4.16647 | − | 4.16647i | 0.650693 | − | 0.650693i | −0.302467 | − | 0.953160i | ||
0.953160 | + | 0.302467i | ||||||||
4.03267 | − | 1.41781i | 0.622255 | − | 0.218773i | |||||
1.85725 | + | 4.48380i | 0.283228 | + | 0.683773i | 0.999907 | − | 0.0136304i | ||
−0.716679 | + | 0.697403i | ||||||||
−7.36536 | + | 2.14562i | −1.11037 | + | 0.323464i | |||||
−2.94152 | + | 7.10147i | −0.438496 | + | 1.05862i | |||||
1.55855 | + | 1.73882i | 0.229796 | + | 0.256375i | |||||
3.77337 | 0.550403 | 0.275202 | − | 0.961387i | ||||||
0.275202 | + | 0.961387i | ||||||||
−2.38331 | + | 3.40157i | −0.344001 | + | 0.490974i | |||||
1.47386i | 0.210551i | |||||||||
11.5809 | − | 10.3803i | 1.63779 | − | 1.46799i | |||||
7.06066 | + | 2.92462i | 0.988690 | + | 0.409529i | |||||
5.18334 | + | 5.01328i | 0.718800 | + | 0.695217i | |||||
2.74388 | + | 6.62432i | 0.376901 | + | 0.909920i | 0.992543 | + | 0.121894i | ||
−0.615642 | + | 0.788026i | ||||||||
6.81833 | − | 2.39720i | 0.927858 | − | 0.326218i | |||||
−10.8481 | − | 10.8481i | −1.46276 | − | 1.46276i | |||||
−4.79435 | − | 6.69366i | −0.640672 | − | 0.894478i | |||||
5.10092 | + | 5.10092i | 0.675633 | + | 0.675633i | |||||
−0.345507 | + | 0.720185i | −0.0453673 | + | 0.0945649i | |||||
−3.36497 | − | 8.12374i | −0.438081 | − | 1.05762i | −0.976611 | − | 0.215015i | ||
0.538530 | − | 0.842607i | ||||||||
−8.25654 | − | 0.905481i | −1.06591 | − | 0.116897i | |||||
−0.246606 | + | 0.595359i | −0.0315746 | + | 0.0762279i | −0.938880 | − | 0.344244i | ||
0.907306 | + | 0.420472i | ||||||||
−0.193041 | + | 3.53100i | −0.0245162 | + | 0.448438i | |||||
5.59441i | 0.704829i | |||||||||
7.57429 | + | 2.57490i | 0.946787 | + | 0.321862i | |||||
−3.80186 | + | 13.9107i | −0.471563 | + | 1.72541i | |||||
−0.307478 | + | 5.62423i | −0.0378480 | + | 0.692295i | |||||
−3.11472 | − | 1.29016i | −0.380524 | − | 0.157618i | 0.184219 | − | 0.982885i | ||
−0.564743 | + | 0.825267i | ||||||||
1.60472 | − | 14.6325i | 0.194601 | − | 1.77445i | |||||
1.58397 | − | 0.656100i | 0.190687 | − | 0.0789852i | |||||
7.12209 | − | 14.8455i | 0.851252 | − | 1.77437i | |||||
−7.66332 | − | 7.66332i | −0.909469 | − | 0.909469i | 0.0867604 | − | 0.996229i | ||
−0.996229 | + | 0.0867604i | ||||||||
−3.16521 | − | 4.41913i | −0.373024 | − | 0.520799i | |||||
−2.64357 | + | 2.64357i | −0.309406 | + | 0.309406i | −0.844679 | − | 0.535273i | ||
0.535273 | + | 0.844679i | ||||||||
−1.73279 | − | 4.92857i | −0.201433 | − | 0.572934i | |||||
−4.36977 | − | 10.5496i | −0.504577 | − | 1.21816i | |||||
6.68499 | − | 12.1808i | 0.766821 | − | 1.39724i | |||||
−10.3159 | − | 4.27299i | −1.17561 | − | 0.486952i | |||||
4.73480 | − | 2.36944i | 0.536111 | − | 0.268286i | |||||
− | 8.91163i | − | 1.00264i | −0.865263 | − | 0.501319i | ||||
0.865263 | − | 0.501319i | ||||||||
2.77342 | + | 15.7563i | 0.310078 | + | 1.76160i | |||||
0.458877i | 0.0509864i | |||||||||
−6.20514 | + | 5.56184i | −0.685243 | + | 0.614202i | |||||
−0.865494 | + | 2.08949i | −0.0950003 | + | 0.229351i | −0.964235 | − | 0.265049i | ||
0.869235 | + | 0.494400i | ||||||||
−5.80401 | + | 1.69078i | −0.633269 | + | 0.184479i | |||||
27.1969 | − | 11.2653i | 2.94992 | − | 1.22190i | |||||
−2.27648 | − | 6.47497i | −0.245479 | − | 0.698214i | |||||
0.414705 | + | 0.414705i | 0.0444610 | + | 0.0444610i | |||||
10.5663 | − | 2.46123i | 1.12637 | − | 0.262368i | |||||
8.31178 | + | 8.31178i | 0.881047 | + | 0.881047i | 0.993641 | − | 0.112594i | ||
−0.112594 | + | 0.993641i | ||||||||
4.70197 | − | 9.80093i | 0.495632 | − | 1.03311i | |||||
1.31801 | + | 10.4126i | 0.138165 | + | 1.09154i | |||||
−2.06660 | − | 2.57571i | −0.215458 | − | 0.268537i | |||||
2.39879 | + | 0.993610i | 0.248743 | + | 0.103033i | |||||
−5.32840 | − | 0.291305i | −0.549582 | − | 0.0300458i | |||||
27.7867 | 2.85086 | |||||||||
3.62809 | − | 4.61938i | 0.370290 | − | 0.471463i | |||||
− | 8.83594i | − | 0.897154i | −0.893744 | − | 0.448577i | ||||
0.893744 | − | 0.448577i | ||||||||
0.113782 | − | 2.08124i | 0.0114937 | − | 0.210237i | |||||
−6.81052 | − | 2.82101i | −0.684483 | − | 0.283522i | |||||
−17.1548 | + | 13.7640i | −1.71548 | + | 1.37640i | |||||
1.40230 | − | 0.580850i | 0.139534 | − | 0.0577967i | −0.311824 | − | 0.950140i | ||
0.451358 | + | 0.892343i | ||||||||
−9.74461 | − | 4.67496i | −0.964860 | − | 0.462890i | |||||
0.960494 | − | 0.960494i | 0.0946403 | − | 0.0946403i | −0.658201 | − | 0.752842i | ||
0.752842 | + | 0.658201i | ||||||||
−6.93240 | − | 7.47943i | −0.679777 | − | 0.733419i | |||||
−8.54849 | − | 8.54849i | −0.834248 | − | 0.834248i | |||||
−3.36325 | − | 9.56606i | −0.326668 | − | 0.929138i | |||||
5.49544 | + | 13.2672i | 0.531265 | + | 1.28259i | 0.930686 | + | 0.365819i | ||
−0.399421 | + | 0.916767i | ||||||||
−9.81327 | + | 2.85872i | −0.944282 | + | 0.275081i | |||||
6.06687 | − | 14.6467i | 0.581100 | − | 1.40290i | −0.310716 | − | 0.950503i | ||
0.891816 | − | 0.452398i | ||||||||
14.4812 | + | 16.1562i | 1.38073 | + | 1.54043i | |||||
−3.83582 | −0.364080 | |||||||||
6.25337 | + | 9.82228i | 0.590888 | + | 0.928118i | |||||
− | 7.29110i | − | 0.685889i | −0.939356 | − | 0.342945i | ||||
0.939356 | − | 0.342945i | ||||||||
−6.80924 | − | 7.59682i | −0.637744 | − | 0.711507i | |||||
2.52723 | − | 6.10127i | 0.235665 | − | 0.568946i | |||||
0.543491 | − | 0.990303i | 0.0504618 | − | 0.0919473i | |||||
0.870148 | + | 6.87438i | 0.0804452 | + | 0.635537i | |||||
4.12453 | + | 11.7314i | 0.379694 | + | 1.07996i | |||||
15.1499 | − | 15.1499i | 1.38879 | − | 1.38879i | |||||
11.5892 | + | 1.91604i | 1.05794 | + | 0.174910i | |||||
2.62552 | − | 2.62552i | 0.238684 | − | 0.238684i | |||||
0.394195 | − | 0.821671i | 0.0356887 | − | 0.0743906i | |||||
2.34136 | + | 5.65254i | 0.211113 | + | 0.509672i | |||||
0.545189 | − | 4.97124i | 0.0489594 | − | 0.446431i | |||||
−22.1599 | − | 9.17893i | −1.98204 | − | 0.820988i | |||||
0.431890 | − | 7.89989i | 0.0384758 | − | 0.703778i | |||||
−4.75853 | −0.422251 | −0.211126 | − | 0.977459i | ||||||
−0.211126 | + | 0.977459i | ||||||||
−10.4969 | − | 4.22076i | −0.927805 | − | 0.373066i | |||||
−5.03936 | −0.443691 | |||||||||
6.44254 | − | 19.3498i | 0.565048 | − | 1.69709i | |||||
−2.56389 | + | 6.18978i | −0.224008 | + | 0.540804i | −0.995427 | − | 0.0955240i | ||
0.771419 | + | 0.636328i | ||||||||
0.868384 | − | 7.91827i | 0.0755831 | − | 0.689197i | |||||
18.6842 | − | 7.73925i | 1.62012 | − | 0.671078i | |||||
4.29871 | + | 2.06230i | 0.371352 | + | 0.178155i | |||||
−14.4536 | − | 14.4536i | −1.24396 | − | 1.24396i | |||||
−3.39567 | + | 20.5388i | −0.291176 | + | 1.76118i | |||||
−13.2945 | + | 13.2945i | −1.13583 | + | 1.13583i | −0.146639 | + | 0.989190i | ||
−0.989190 | + | 0.146639i | ||||||||
−2.28738 | + | 0.804200i | −0.194714 | + | 0.0684580i | |||||
−0.00167462 | − | 0.00404290i | −0.000142040 | − | 0.000342914i | 0.923808 | − | 0.382855i | ||
−0.923951 | + | 0.382512i | ||||||||
−11.2032 | + | 20.4135i | −0.946844 | + | 1.72526i | |||||
−1.49939 | + | 3.61985i | −0.126271 | + | 0.304846i | |||||
10.2298 | + | 11.4130i | 0.858466 | + | 0.957760i | |||||
−13.3407 | − | 3.64610i | −1.11561 | − | 0.304902i | |||||
4.12845 | + | 6.48463i | 0.344038 | + | 0.540386i | |||||
2.25906 | 0.187605 | |||||||||
3.93708 | − | 3.52891i | 0.325835 | − | 0.292055i | |||||
−1.41389 | − | 0.585653i | −0.116616 | − | 0.0483039i | |||||
2.06640 | + | 7.09343i | 0.169857 | + | 0.583076i | |||||
−0.0814032 | + | 0.0337183i | −0.00666881 | + | 0.00276231i | −0.386015 | − | 0.922492i | ||
0.379347 | + | 0.925255i | ||||||||
5.35614 | + | 15.2344i | 0.437327 | + | 1.24389i | |||||
−0.342580 | + | 0.342580i | −0.0278787 | + | 0.0278787i | −0.720909 | − | 0.693030i | ||
0.693030 | + | 0.720909i | ||||||||
−10.3803 | + | 16.6845i | −0.841952 | + | 1.35329i | |||||
10.0019 | − | 10.0019i | 0.808608 | − | 0.808608i | |||||
14.2373 | + | 6.83030i | 1.14727 | + | 0.550401i | |||||
9.23987 | − | 3.82728i | 0.742164 | − | 0.307414i | |||||
−6.86896 | + | 2.98037i | −0.549957 | + | 0.238620i | |||||
−2.67456 | + | 6.45696i | −0.213453 | + | 0.515321i | −0.993949 | − | 0.109839i | ||
0.780496 | + | 0.625160i | ||||||||
−0.687980 | + | 12.5842i | −0.0547328 | + | 1.00114i | |||||
−7.44510 | −0.590435 | |||||||||
−2.69997 | − | 22.4636i | −0.213452 | − | 1.77590i | |||||
− | 4.80647i | − | 0.378803i | |||||||
0.0354254 | − | 0.647983i | 0.00278329 | − | 0.0509104i | |||||
11.5365 | + | 4.77857i | 0.903607 | + | 0.374286i | 0.785606 | − | 0.618727i | ||
0.118001 | + | 0.993013i | ||||||||
9.19169 | − | 7.37486i | 0.717750 | − | 0.575880i | |||||
14.7174 | − | 6.09614i | 1.14575 | − | 0.474584i | |||||
1.38348 | − | 2.88376i | 0.107379 | − | 0.223823i | |||||
11.7216 | + | 11.7216i | 0.907046 | + | 0.907046i | 0.996033 | − | 0.0889869i | ||
−0.0889869 | + | 0.996033i | ||||||||
8.32640 | − | 1.93948i | 0.642396 | − | 0.149634i | |||||
3.23914 | + | 12.5900i | 0.249164 | + | 0.968461i | |||||
−39.2746 | + | 13.8082i | −3.01222 | + | 1.05904i | |||||
12.3352 | − | 5.10942i | 0.943299 | − | 0.390727i | |||||
2.71476 | + | 9.31908i | 0.206999 | + | 0.710573i | |||||
10.9678 | + | 4.54302i | 0.833868 | + | 0.345399i | 0.758433 | − | 0.651751i | ||
0.0754349 | + | 0.997151i | ||||||||
−0.553592 | − | 0.617622i | −0.0419677 | − | 0.0468218i | |||||
−32.0121 | −2.41989 | |||||||||
−15.1107 | + | 2.65979i | −1.13901 | + | 0.200489i | |||||
9.13032 | 0.686277 | |||||||||
−11.0954 | − | 12.3788i | −0.831638 | − | 0.927829i | |||||
6.59163 | + | 2.73034i | 0.492682 | + | 0.204075i | 0.615170 | − | 0.788395i | ||
−0.122488 | + | 0.992470i | ||||||||
−7.39631 | + | 13.4769i | −0.551289 | + | 1.00451i | |||||
−8.87929 | − | 21.4365i | −0.659992 | − | 1.59336i | −0.797813 | − | 0.602905i | ||
0.137821 | − | 0.990457i | ||||||||
−1.05732 | − | 14.8055i | −0.0783735 | − | 1.09746i | |||||
−0.473144 | − | 0.473144i | −0.0349758 | − | 0.0349758i | |||||
2.71941 | + | 3.79672i | 0.200478 | + | 0.279898i | |||||
−10.4476 | + | 10.4476i | −0.768125 | + | 0.768125i | |||||
−3.31063 | − | 1.58827i | −0.242747 | − | 0.116457i | |||||
10.8038 | + | 26.0826i | 0.790051 | + | 1.90735i | |||||
7.50177 | + | 0.822707i | 0.547123 | + | 0.0600021i | |||||
−13.7444 | − | 5.69313i | −0.999761 | − | 0.414114i | |||||
−39.2378 | − | 2.14514i | −2.84661 | − | 0.155625i | |||||
−24.5400 | −1.77565 | −0.887827 | − | 0.460178i | ||||||
−0.887827 | + | 0.460178i | ||||||||
−5.47986 | + | 6.24295i | −0.395475 | + | 0.450546i | |||||
− | 7.63410i | − | 0.549514i | −0.961514 | − | 0.274757i | ||||
0.961514 | − | 0.274757i | ||||||||
−0.682137 | + | 12.4773i | −0.0489746 | + | 0.895816i | |||||
−11.8340 | − | 9.17473i | −0.847448 | − | 0.657016i | |||||
−0.321345 | + | 2.93015i | −0.0229532 | + | 0.209296i | |||||
0.420918 | + | 1.01619i | 0.0299892 | + | 0.0724003i | 0.938165 | − | 0.346189i | ||
−0.908175 | + | 0.418590i | ||||||||
9.39938 | + | 4.50933i | 0.667985 | + | 0.320464i | |||||
1.28759 | − | 1.28759i | 0.0912745 | − | 0.0912745i | −0.659995 | − | 0.751270i | ||
0.751270 | + | 0.659995i | ||||||||
25.2870 | − | 18.1118i | 1.78806 | − | 1.28070i | |||||
2.47533 | − | 2.47533i | 0.174597 | − | 0.174597i | |||||
−2.02503 | + | 0.711963i | −0.142481 | + | 0.0500936i | |||||
1.51903 | − | 0.629201i | 0.106615 | − | 0.0441613i | |||||
13.3995 | + | 7.35381i | 0.938153 | + | 0.514870i | |||||
21.7730 | + | 9.01866i | 1.52069 | + | 0.629890i | |||||
−1.43047 | + | 1.28217i | −0.0996655 | + | 0.0893329i | |||||
− | 3.17321i | − | 0.220554i | |||||||
9.21186 | + | 11.0969i | 0.638727 | + | 0.769433i | |||||
26.6483i | 1.84330i | |||||||||
11.4114 | + | 12.7313i | 0.787463 | + | 0.878544i | |||||
−14.6541 | − | 6.06993i | −1.00883 | − | 0.417871i | −0.183803 | − | 0.982963i | ||
−0.825028 | + | 0.565092i | ||||||||
4.01076 | + | 13.7679i | 0.275460 | + | 0.945585i | |||||
10.3966 | − | 4.30642i | 0.712365 | − | 0.295071i | |||||
−6.73592 | − | 19.1589i | −0.460458 | − | 1.30968i | |||||
−13.7257 | + | 13.7257i | −0.936085 | + | 0.936085i | |||||
14.0781 | − | 3.27923i | 0.957890 | − | 0.223123i | |||||
5.14703 | − | 5.14703i | 0.349403 | − | 0.349403i | |||||
−9.69778 | + | 20.2143i | −0.656817 | + | 1.36909i | |||||
−1.48556 | − | 3.58646i | −0.100385 | − | 0.242350i | |||||
−19.2018 | − | 23.9322i | −1.29458 | − | 1.61351i | |||||
16.2598 | − | 20.9726i | 1.09375 | − | 1.41077i | |||||
5.41658 | + | 0.296126i | 0.363537 | + | 0.0198747i | |||||
8.92283i | 0.597517i | 0.954329 | + | 0.298758i | ||||||
−0.954329 | + | 0.298758i | ||||||||
−8.07213 | − | 14.3528i | −0.539342 | − | 0.958990i | |||||
−21.1343 | −1.40895 | |||||||||
−0.562875 | + | 10.2958i | −0.0374419 | + | 0.684867i | |||||
5.06802 | + | 2.09924i | 0.336376 | + | 0.139332i | 0.544477 | − | 0.838776i | ||
−0.208101 | + | 0.978107i | ||||||||
9.02888 | + | 11.2532i | 0.597952 | + | 0.745260i | |||||
4.07504 | + | 9.83803i | 0.269286 | + | 0.650115i | 0.999450 | − | 0.0331572i | ||
−0.730164 | + | 0.683272i | ||||||||
−4.03973 | + | 8.42053i | −0.266372 | + | 0.555233i | |||||
8.19826 | − | 8.19826i | 0.539406 | − | 0.539406i | |||||
−0.843917 | + | 1.35645i | −0.0554059 | + | 0.0890556i | |||||
−17.7684 | − | 17.7684i | −1.16405 | − | 1.16405i | −0.983581 | − | 0.180466i | ||
−0.180466 | − | 0.983581i | ||||||||
−0.698036 | − | 9.77452i | −0.0456320 | − | 0.638981i | |||||
5.77549 | + | 13.9433i | 0.376751 | + | 0.909558i | |||||
−4.91860 | − | 16.8843i | −0.320174 | − | 1.09908i | |||||
8.54905 | + | 3.54113i | 0.555320 | + | 0.230021i | |||||
−22.5629 | + | 20.2237i | −1.46253 | + | 1.31091i | |||||
14.2280 | 0.920336 | 0.460168 | − | 0.887832i | ||||||
0.460168 | + | 0.887832i | ||||||||
−16.2172 | − | 3.60034i | −1.04682 | − | 0.232401i | |||||
−14.3595 | −0.924974 | −0.462487 | − | 0.886626i | ||||||
−0.462487 | + | 0.886626i | ||||||||
−3.91020 | + | 3.50482i | −0.251357 | + | 0.225298i | |||||
−14.6049 | − | 6.04955i | −0.936906 | − | 0.388079i | |||||
−0.620078 | + | 1.12985i | −0.0396964 | + | 0.0723315i | |||||
−5.44616 | + | 2.25587i | −0.347942 | + | 0.144122i | |||||
−2.86986 | − | 8.16273i | −0.182976 | − | 0.520436i | |||||
21.7553 | − | 12.4161i | 1.38426 | − | 0.790015i | |||||
−1.15364 | + | 6.97783i | −0.0732565 | + | 0.443093i | |||||
−1.66056 | − | 1.66056i | −0.105234 | − | 0.105234i | |||||
30.5835 | + | 14.6724i | 1.93427 | + | 0.927961i | |||||
26.9449 | − | 11.1610i | 1.70075 | − | 0.704473i | 0.700788 | − | 0.713370i | ||
0.999960 | + | 0.00889690i | ||||||||
−1.21975 | + | 11.1221i | −0.0768368 | + | 0.700629i | |||||
5.85130 | + | 2.42369i | 0.367868 | + | 0.152376i | |||||
6.71955 | + | 0.367360i | 0.421622 | + | 0.0230502i | |||||
30.5667i | 1.91416i | |||||||||
14.4969 | + | 6.77052i | 0.906056 | + | 0.423158i | |||||
21.9848 | 1.37138 | 0.685689 | − | 0.727895i | ||||||
0.685689 | + | 0.727895i | ||||||||
7.11611 | + | 0.389040i | 0.443029 | + | 0.0242206i | |||||
−4.11523 | + | 9.93504i | −0.255708 | + | 0.617333i | |||||
−10.5913 | + | 26.8266i | −0.656848 | + | 1.66372i | |||||
1.00286 | − | 0.415396i | 0.0620752 | − | 0.0257124i | |||||
4.09834 | − | 8.54269i | 0.253196 | − | 0.527769i | |||||
8.04680 | − | 8.04680i | 0.496187 | − | 0.496187i | −0.414062 | − | 0.910249i | ||
0.910249 | + | 0.414062i | ||||||||
−1.83754 | + | 11.1144i | −0.113093 | + | 0.684043i | |||||
−20.2782 | + | 20.2782i | −1.24568 | + | 1.24568i | |||||
−26.9815 | + | 9.48620i | −1.65434 | + | 0.581636i | |||||
−11.2764 | + | 4.67083i | −0.690103 | + | 0.285850i | |||||
−5.91102 | − | 3.24404i | −0.361073 | − | 0.198161i | |||||
7.13058 | + | 2.95358i | 0.434759 | + | 0.180083i | 0.589319 | − | 0.807900i | ||
−0.154560 | + | 0.987983i | ||||||||
19.2941 | + | 21.5258i | 1.17420 | + | 1.31002i | |||||
11.0640 | 0.672090 | 0.336045 | − | 0.941846i | ||||||
0.336045 | + | 0.941846i | ||||||||
6.38064 | − | 28.7407i | 0.386883 | − | 1.74266i | |||||
−10.5127 | − | 2.87318i | −0.636258 | − | 0.173893i | |||||
19.7996 | − | 17.7469i | 1.19614 | − | 1.07213i | |||||
16.1423 | − | 38.9709i | 0.973416 | − | 2.35003i | |||||
3.29210 | − | 0.959028i | 0.198161 | − | 0.0577267i | |||||
−0.155389 | − | 0.375143i | −0.00933643 | − | 0.0225401i | 0.919143 | − | 0.393925i | ||
−0.928479 | + | 0.371385i | ||||||||
0.00205263 | + | 0.00583828i | 0.000123109 | + | 0.000350157i | |||||
3.39805 | − | 3.39805i | 0.203436 | − | 0.203436i | |||||
17.3960 | − | 27.9612i | 1.03961 | − | 1.67100i | |||||
−4.47988 | − | 4.47988i | −0.267247 | − | 0.267247i | 0.560743 | − | 0.827990i | ||
−0.827990 | + | 0.560743i | ||||||||
2.39675 | − | 4.99585i | 0.142724 | − | 0.297498i | |||||
−24.3596 | + | 10.0901i | −1.44803 | + | 0.599792i | −0.961729 | − | 0.274001i | ||
−0.486297 | + | 0.873793i | ||||||||
−13.5645 | − | 16.9061i | −0.804903 | − | 1.00319i | |||||
−11.0413 | + | 26.6562i | −0.654033 | + | 1.57897i | |||||
18.5571 | + | 6.17859i | 1.09730 | + | 0.365348i | |||||
17.1524 | 1.01247 | |||||||||
−5.32919 | − | 9.47569i | −0.314026 | − | 0.558360i | |||||
−37.1714 | −2.18655 | |||||||||
−3.19004 | − | 0.174400i | −0.187325 | − | 0.0102411i | |||||
8.47643 | + | 3.51105i | 0.496897 | + | 0.205822i | |||||
−5.83200 | + | 4.67925i | −0.341292 | + | 0.273832i | |||||
−3.58927 | − | 8.66526i | −0.209687 | − | 0.506230i | 0.783687 | − | 0.621156i | ||
−0.993374 | + | 0.114926i | ||||||||
1.95135 | + | 0.936157i | 0.113805 | + | 0.0545978i | |||||
24.8682 | − | 24.8682i | 1.44788 | − | 1.44788i | |||||
−2.37036 | − | 10.1762i | −0.137774 | − | 0.591479i | |||||
13.8614 | − | 13.8614i | 0.804320 | − | 0.804320i | |||||
0.117553 | − | 0.0413295i | 0.00680966 | − | 0.00239415i | |||||
−0.747593 | − | 5.90617i | −0.0432344 | − | 0.341562i | |||||
−6.38733 | − | 21.9261i | −0.368773 | − | 1.26590i | |||||
−5.40643 | + | 13.0523i | −0.311622 | + | 0.752321i | |||||
0.510206 | − | 0.457311i | 0.0293590 | − | 0.0263153i | |||||
1.57605i | 0.0905415i | |||||||||
15.9461 | − | 22.7590i | 0.914571 | − | 1.30532i | |||||
−2.57740 | −0.147582 | |||||||||
−14.8959 | + | 13.3516i | −0.851543 | + | 0.763261i | |||||
−10.0105 | + | 24.1675i | −0.571330 | + | 1.37931i | 0.329094 | + | 0.944297i | ||
−0.900423 | + | 0.435015i | ||||||||
−19.5772 | − | 10.7442i | −1.11551 | − | 0.612208i | |||||
0.539752 | + | 1.30308i | 0.0307054 | + | 0.0741294i | |||||
−13.3431 | + | 4.69120i | −0.757839 | + | 0.266442i | |||||
10.9898 | + | 10.9898i | 0.623172 | + | 0.623172i | 0.946341 | − | 0.323169i | ||
−0.323169 | + | 0.946341i | ||||||||
9.92977 | − | 3.67831i | 0.562163 | − | 0.208243i | |||||
8.48897 | − | 8.48897i | 0.479825 | − | 0.479825i | −0.425251 | − | 0.905076i | ||
0.905076 | + | 0.425251i | ||||||||
4.27524 | − | 8.91143i | 0.241266 | − | 0.502901i | |||||
−20.6723 | + | 8.56274i | −1.16475 | + | 0.482456i | |||||
1.94300 | − | 17.7170i | 0.109302 | − | 0.996662i | |||||
−15.2088 | − | 6.29971i | −0.854214 | − | 0.353827i | −0.0877720 | − | 0.996141i | ||
−0.766442 | + | 0.642314i | ||||||||
10.5133 | + | 0.574764i | 0.589555 | + | 0.0322311i | |||||
2.16651i | 0.121301i | |||||||||
2.07845 | + | 31.9294i | 0.116189 | + | 1.78491i | |||||
−14.9110 | −0.832253 | |||||||||
−0.371061 | + | 6.78724i | −0.0206784 | + | 0.378238i | |||||
−47.2410 | − | 19.5678i | −2.62856 | − | 1.08878i | |||||
−0.100049 | + | 0.912285i | −0.00555827 | + | 0.0506825i | |||||
−39.3363 | + | 4.97913i | −2.18199 | + | 0.276192i | |||||
−15.9218 | − | 7.63846i | −0.881828 | − | 0.423055i | |||||
11.6400 | + | 11.6400i | 0.643696 | + | 0.643696i | |||||
−13.5490 | + | 9.70447i | −0.748116 | + | 0.535840i | |||||
7.76704 | + | 7.76704i | 0.428211 | + | 0.428211i | |||||
−21.2531 | + | 7.47220i | −1.16995 | + | 0.411331i | |||||
5.20982 | − | 2.15798i | 0.286358 | − | 0.118613i | −0.234881 | − | 0.972024i | ||
0.521239 | + | 0.853411i | ||||||||
−2.17624 | + | 3.96536i | −0.119437 | + | 0.217628i | |||||
−2.71686 | + | 6.55907i | −0.148883 | + | 0.359435i | |||||
−15.6472 | − | 17.4571i | −0.856179 | − | 0.955208i | |||||
− | 13.4841i | − | 0.736717i | |||||||
−11.9075 | + | 2.09596i | −0.649606 | + | 0.114344i | |||||
7.91469i | 0.431141i | 0.976488 | + | 0.215570i | ||||||
−0.976488 | + | 0.215570i | ||||||||
−3.60205 | − | 18.0285i | −0.195926 | − | 0.980619i | |||||
6.99445 | + | 2.89720i | 0.379886 | + | 0.157354i | |||||
56.5258 | − | 16.4666i | 3.06554 | − | 0.893029i | |||||
3.67047 | + | 8.86131i | 0.198767 | + | 0.479867i | |||||
−17.8131 | + | 6.26275i | −0.963221 | + | 0.338651i | |||||
11.3749 | − | 11.3749i | 0.614187 | − | 0.614187i | |||||
−3.11409 | − | 13.3691i | −0.167901 | − | 0.720814i | |||||
4.84880 | + | 4.84880i | 0.261051 | + | 0.261051i | |||||
−15.1370 | − | 7.26193i | −0.813769 | − | 0.390404i | |||||
32.3967 | − | 13.4191i | 1.73914 | − | 0.720377i | 0.740301 | − | 0.672276i | ||
0.998842 | − | 0.0481013i | ||||||||
0.734049 | + | 0.914885i | 0.0393492 | + | 0.0490430i | |||||
−19.8463 | − | 8.22061i | −1.06235 | − | 0.440039i | −0.218064 | − | 0.975934i | ||
−0.844285 | + | 0.535895i | ||||||||
45.2045 | + | 2.47134i | 2.41628 | + | 0.132099i | |||||
−17.7746 | − | 4.85790i | −0.948738 | − | 0.259295i | |||||
21.5433 | − | 2.58936i | 1.14826 | − | 0.138013i | |||||
− | 17.8817i | − | 0.951747i | −0.879514 | − | 0.475874i | ||||
0.879514 | − | 0.475874i | ||||||||
−12.8930 | − | 0.704862i | −0.685253 | − | 0.0374630i | |||||
16.5879 | − | 40.0467i | 0.880393 | − | 2.12546i | |||||
14.7123 | + | 18.3367i | 0.779749 | + | 0.971843i | |||||
8.51354 | + | 20.5535i | 0.450584 | + | 1.08781i | |||||
−9.09729 | − | 4.36441i | −0.480807 | − | 0.230666i | |||||
19.0915 | + | 19.0915i | 1.00761 | + | 1.00761i | 0.999971 | + | 0.00763864i | ||
0.00763864 | + | 0.999971i | ||||||||
11.4848 | − | 18.4599i | 0.605302 | − | 0.972920i | |||||
−20.6938 | − | 20.6938i | −1.08915 | − | 1.08915i | |||||
10.8836 | + | 30.9561i | 0.572028 | + | 1.62701i | |||||
1.47542 | + | 3.56197i | 0.0774393 | + | 0.186955i | |||||
0.350054 | + | 20.9885i | 0.0183478 | + | 1.10010i | |||||
−13.8146 | − | 5.72221i | −0.723091 | − | 0.299514i | |||||
0.631602 | + | 0.704656i | 0.0330144 | + | 0.0368329i | |||||
27.3345i | 1.42685i | 0.700731 | + | 0.713426i | ||||||
−0.700731 | + | 0.713426i | ||||||||
−3.54698 | − | 5.57131i | −0.184899 | − | 0.290424i | |||||
11.3239 | 0.589499 | |||||||||
15.5597 | − | 13.9466i | 0.808910 | − | 0.725048i | |||||
−7.98741 | + | 19.2833i | −0.414686 | + | 1.00114i | |||||
4.55234 | + | 2.49838i | 0.236028 | + | 0.129535i | |||||
−4.59425 | − | 11.0915i | −0.237881 | − | 0.574297i | 0.759182 | − | 0.650879i | ||
−0.997063 | + | 0.0765819i | ||||||||
−13.2425 | − | 37.6655i | −0.684753 | − | 1.94764i | |||||
17.6109 | − | 17.6109i | 0.909424 | − | 0.909424i | |||||
−10.5298 | − | 1.74089i | −0.543032 | − | 0.0897794i | |||||
1.76871 | − | 1.00943i | 0.0910931 | − | 0.0519881i | |||||
18.9691 | + | 9.10037i | 0.975664 | + | 0.468073i | |||||
6.44128 | + | 15.5506i | 0.330866 | + | 0.798782i | 0.998524 | + | 0.0543133i | ||
−0.667658 | + | 0.744468i | ||||||||
55.2422 | + | 6.05833i | 2.83387 | + | 0.310786i | |||||
1.89085 | − | 4.56492i | 0.0968713 | − | 0.233868i | |||||
34.6531 | + | 1.89449i | 1.77301 | + | 0.0969308i | |||||
− | 9.87632i | − | 0.504657i | −0.967642 | − | 0.252328i | ||||
0.967642 | − | 0.252328i | ||||||||
8.22009 | − | 8.39266i | 0.419480 | − | 0.428286i | |||||
− | 44.6592i | − | 2.27604i | |||||||
−0.589354 | + | 10.7801i | −0.0299973 | + | 0.548695i | |||||
−3.56931 | + | 8.61707i | −0.181438 | + | 0.438030i | |||||
1.92650 | − | 17.5666i | 0.0978031 | − | 0.891807i | |||||
−22.8288 | + | 9.45600i | −1.15747 | + | 0.479438i | −0.877031 | − | 0.480434i | ||
−0.280436 | + | 0.959873i | ||||||||
16.0025 | + | 13.8693i | 0.810319 | + | 0.702297i | |||||
−8.59321 | + | 8.59321i | −0.434578 | + | 0.434578i | |||||
0.679981 | − | 4.11287i | 0.0343442 | − | 0.207731i | |||||
−4.91915 | − | 4.91915i | −0.248138 | − | 0.248138i | |||||
−0.515931 | − | 1.46746i | −0.0259922 | − | 0.0739294i | |||||
32.9300 | − | 13.6401i | 1.65689 | − | 0.686306i | |||||
−12.9248 | − | 7.09329i | −0.649495 | − | 0.356451i | |||||
6.42267 | − | 15.5057i | 0.322344 | − | 0.778208i | −0.676773 | − | 0.736192i | ||
0.999117 | − | 0.0420160i | ||||||||
−1.91761 | + | 1.71880i | −0.0961210 | + | 0.0861559i | |||||
20.9993i | 1.05128i | |||||||||
−37.1061 | + | 23.6237i | −1.85530 | + | 1.18118i | |||||
34.5147 | 1.72358 | 0.861790 | − | 0.507265i | ||||||
0.861790 | + | 0.507265i | ||||||||
−3.68653 | + | 3.30433i | −0.183867 | + | 0.164805i | |||||
5.52408 | − | 7.12521i | 0.275174 | − | 0.354932i | |||||
2.91452 | − | 0.849034i | 0.145003 | − | 0.0422410i | |||||
−1.69563 | + | 0.702353i | −0.0842565 | + | 0.0349002i | |||||
−2.19360 | + | 0.771229i | −0.108867 | + | 0.0382755i | |||||
−10.0196 | − | 10.0196i | −0.496653 | − | 0.496653i | |||||
−18.3538 | − | 11.4188i | −0.908648 | − | 0.565315i | |||||
2.93014 | + | 2.93014i | 0.144886 | + | 0.144886i | 0.775829 | − | 0.630943i | ||
−0.630943 | + | 0.775829i | ||||||||
−30.0495 | − | 14.4162i | −1.48404 | − | 0.711964i | |||||
−7.47090 | − | 18.0363i | −0.368512 | − | 0.889667i | |||||
2.11896 | − | 1.70012i | 0.104393 | − | 0.0837591i | |||||
9.79538 | − | 23.6481i | 0.481999 | − | 1.16365i | |||||
−0.244973 | + | 4.48091i | −0.0120398 | + | 0.220225i | |||||
−9.04573 | −0.444037 | |||||||||
−12.1514 | − | 16.3812i | −0.595773 | − | 0.803153i | |||||
0.00454383 | 0.000222512 | |||||||||
2.05726 | − | 37.6302i | 0.100624 | − | 1.84055i | |||||
−4.11285 | + | 9.92930i | −0.200926 | + | 0.485078i | −0.991938 | − | 0.126722i | ||
0.791012 | + | 0.611800i | ||||||||
−15.1313 | − | 18.8589i | −0.738330 | − | 0.920221i | |||||
−3.72357 | − | 8.98949i | −0.181476 | − | 0.438121i | 0.806795 | − | 0.590831i | ||
−0.988271 | + | 0.152710i | ||||||||
20.2245 | + | 9.70268i | 0.984515 | + | 0.472319i | |||||
5.12777 | + | 5.12777i | 0.249321 | + | 0.249321i | |||||
−4.60073 | − | 19.7514i | −0.223431 | − | 0.959212i | |||||
57.2326 | + | 57.2326i | 2.77619 | + | 2.77619i | |||||
−15.0136 | + | 5.27850i | −0.727410 | + | 0.255744i | |||||
−1.73308 | + | 0.717866i | −0.0838698 | + | 0.0347400i | |||||
8.03275 | + | 27.5744i | 0.388278 | + | 1.33286i | |||||
8.79884 | − | 11.3491i | 0.424812 | − | 0.547941i | |||||
20.4418 | − | 18.3225i | 0.985789 | − | 0.883590i | |||||
11.4632 | 0.552162 | 0.276081 | − | 0.961134i | ||||||
0.276081 | + | 0.961134i | ||||||||
−20.1328 | + | 3.54379i | −0.968642 | + | 0.170500i | |||||
9.31026i | 0.447422i | 0.974655 | + | 0.223711i | ||||||
−0.974655 | + | 0.223711i | ||||||||
−7.66550 | + | 6.87080i | −0.367956 | + | 0.329809i | |||||
−0.897662 | + | 2.16715i | −0.0430396 | + | 0.103907i | |||||
15.2548 | − | 27.7961i | 0.730574 | − | 1.33119i | |||||
−10.5979 | + | 4.38979i | −0.506966 | + | 0.209992i | |||||
1.82089 | + | 5.17914i | 0.0870054 | + | 0.247469i | |||||
13.5303 | + | 13.5303i | 0.645765 | + | 0.645765i | 0.951967 | − | 0.306202i | ||
−0.306202 | + | 0.951967i | ||||||||
25.2673 | + | 35.2771i | 1.20457 | + | 1.68177i | |||||
−2.00288 | + | 2.00288i | −0.0953752 | + | 0.0953752i | |||||
−24.5796 | + | 28.3602i | −1.16913 | + | 1.34896i | |||||
−9.44190 | + | 3.91096i | −0.448598 | + | 0.185815i | −0.595533 | − | 0.803331i | ||
0.146935 | + | 0.989146i | ||||||||
−7.62592 | − | 0.836323i | −0.361910 | − | 0.0396901i | |||||
−17.9915 | + | 43.4354i | −0.852880 | + | 2.05903i | |||||
0.688844 | − | 12.6000i | 0.0326177 | − | 0.596626i | |||||
− | 0.0914895i | − | 0.00432730i | |||||||
10.2907 | + | 20.8909i | 0.486188 | + | 0.987002i | |||||
− | 39.3232i | − | 1.85578i | −0.372856 | − | 0.927889i | ||||
0.372856 | − | 0.927889i | ||||||||
29.8438 | + | 1.63157i | 1.40685 | + | 0.0769130i | |||||
−8.64916 | + | 20.8809i | −0.407273 | + | 0.983244i | |||||
1.58968 | − | 14.4953i | 0.0747721 | − | 0.681801i | |||||
−0.192514 | − | 0.464769i | −0.00904507 | − | 0.0218367i | |||||
−6.99451 | − | 3.35560i | −0.328269 | − | 0.157486i | |||||
−36.4591 | + | 20.8078i | −1.70923 | + | 0.975483i | |||||
−11.8810 | − | 16.5877i | −0.556378 | − | 0.776790i | |||||
−6.50267 | + | 6.50267i | −0.304182 | + | 0.304182i | −0.842647 | − | 0.538466i | ||
0.538466 | + | 0.842647i | ||||||||
−4.99489 | − | 14.2069i | −0.233396 | − | 0.663846i | |||||
14.3945 | + | 34.7513i | 0.671876 | + | 1.62205i | |||||
6.35459 | − | 11.5788i | 0.296284 | − | 0.539864i | |||||
−13.8423 | + | 33.4183i | −0.644702 | + | 1.55645i | 0.175566 | + | 0.984468i | ||
−0.820268 | + | 0.571980i | ||||||||
−12.2097 | + | 10.9439i | −0.568047 | + | 0.509156i | |||||
2.61868 | 0.121700 | 0.0608501 | − | 0.998147i | ||||||
0.0608501 | + | 0.998147i | ||||||||
1.29642 | − | 1.85031i | 0.0601847 | − | 0.0858983i | |||||
10.3847i | 0.481580i | |||||||||
23.7191 | + | 26.4626i | 1.09877 | + | 1.22586i | |||||
−16.8016 | − | 6.95946i | −0.777487 | − | 0.322045i | −0.0415858 | − | 0.999135i | ||
−0.735901 | + | 0.677089i | ||||||||
0.231104 | + | 13.8565i | 0.0106828 | + | 0.640519i | |||||
−3.75564 | − | 9.06692i | −0.173419 | − | 0.418671i | |||||
−7.07917 | − | 20.1352i | −0.326538 | − | 0.928768i | |||||
−5.13148 | − | 5.13148i | −0.236446 | − | 0.236446i | |||||
5.64211 | + | 24.2221i | 0.259699 | + | 1.11491i | |||||
−13.1634 | − | 13.1634i | −0.605252 | − | 0.605252i | |||||
−11.7988 | − | 5.66044i | −0.541936 | − | 0.259992i | |||||
29.2369 | + | 70.5842i | 1.34148 | + | 3.23862i | |||||
33.4224 | − | 26.8161i | 1.53191 | − | 1.22912i | |||||
−5.27326 | + | 12.7308i | −0.241446 | + | 0.582902i | |||||
−20.0915 | − | 1.09841i | −0.918964 | − | 0.0502400i | |||||
12.8291i | 0.586178i | 0.956085 | + | 0.293089i | ||||||
−0.956085 | + | 0.293089i | ||||||||
22.6225 | + | 6.33603i | 1.03257 | + | 0.289199i | |||||
−3.51149 | + | 12.8482i | −0.160110 | + | 0.585828i | |||||
20.2771 | + | 1.10855i | 0.923595 | + | 0.0504932i | |||||
4.61091 | + | 1.90990i | 0.209804 | + | 0.0869035i | |||||
5.79219 | − | 4.64730i | 0.263281 | − | 0.211241i | |||||
32.6503 | − | 13.5242i | 1.48257 | − | 0.614102i | |||||
20.1566 | + | 9.67011i | 0.914324 | + | 0.438645i | |||||
16.8425 | + | 16.8425i | 0.763205 | + | 0.763205i | 0.976900 | − | 0.213695i | ||
−0.213695 | + | 0.976900i | ||||||||
0.962840 | − | 1.54760i | 0.0435857 | − | 0.0700566i | |||||
−9.16828 | + | 9.16828i | −0.414604 | + | 0.414604i | |||||
7.86470 | − | 2.76509i | 0.355291 | − | 0.124914i | |||||
−14.3321 | − | 34.6008i | −0.646799 | − | 1.56151i | −0.817337 | − | 0.576160i | ||
0.170538 | − | 0.985351i | ||||||||
3.42239 | + | 11.7482i | 0.154293 | + | 0.529649i | |||||
−3.84069 | − | 1.59087i | −0.172976 | − | 0.0716491i | |||||
−31.6793 | + | 15.8533i | −1.42532 | + | 0.713272i | |||||
− | 29.4838i | − | 1.32520i | |||||||
2.16776 | − | 9.76437i | 0.0973352 | − | 0.438433i | |||||
− | 31.5481i | − | 1.41512i | |||||||
2.21669 | + | 2.47308i | 0.0993321 | + | 0.110821i | |||||
−9.19366 | + | 22.1955i | −0.411565 | + | 0.993605i | 0.573153 | + | 0.819448i | ||
−0.984718 | + | 0.174157i | ||||||||
−42.0544 | − | 23.0800i | −1.88073 | − | 1.03217i | |||||
−15.9024 | + | 6.58699i | −0.710467 | + | 0.294285i | |||||
−38.9107 | + | 13.6803i | −1.73667 | + | 0.610581i | |||||
−25.3873 | − | 25.3873i | −1.13197 | − | 1.13197i | −0.989850 | − | 0.142115i | ||
−0.142115 | − | 0.989850i | ||||||||
2.58104 | − | 15.6115i | 0.114969 | − | 0.695389i | |||||
4.29268 | + | 4.29268i | 0.191022 | + | 0.191022i | |||||
−8.07554 | − | 3.87422i | −0.359001 | − | 0.172230i | |||||
−13.3648 | − | 1.89542i | −0.593554 | − | 0.0841785i | |||||
−9.46034 | − | 1.03750i | −0.419735 | − | 0.0460317i | |||||
12.4459 | + | 5.15527i | 0.551656 | + | 0.228503i | 0.641058 | − | 0.767492i | ||
−0.0894022 | + | 0.995996i | ||||||||
2.35976 | − | 43.1634i | 0.104492 | − | 1.91131i | |||||
−10.8829 | −0.481432 | |||||||||
−19.9485 | − | 10.6799i | −0.881605 | − | 0.471987i | |||||
35.5050i | 1.56758i | |||||||||
−31.0449 | − | 1.69723i | −1.36933 | − | 0.0748618i | |||||
5.01931 | + | 2.07907i | 0.221177 | + | 0.0916146i | |||||
−10.0187 | − | 1.09873i | −0.441047 | − | 0.0483689i | |||||
−13.3720 | + | 5.53887i | −0.588100 | + | 0.243599i | |||||
6.57812 | − | 13.7116i | 0.289026 | − | 0.602454i | |||||
−8.71635 | + | 8.71635i | −0.382605 | + | 0.382605i | |||||
17.0271 | − | 37.0643i | 0.746688 | − | 1.62538i | |||||
−5.25194 | − | 5.25194i | −0.230092 | − | 0.230092i | 0.582639 | − | 0.812731i | ||
−0.812731 | + | 0.582639i | ||||||||
−1.44821 | + | 0.509162i | −0.0633862 | + | 0.0222854i | |||||
−3.97481 | − | 9.59603i | −0.173806 | − | 0.419605i | 0.812839 | − | 0.582488i | ||
−0.986645 | + | 0.162883i | ||||||||
−6.44678 | + | 11.7468i | −0.281629 | + | 0.513160i | |||||
12.7203 | − | 30.7096i | 0.555161 | − | 1.34028i | |||||
−11.9841 | + | 10.7417i | −0.522533 | + | 0.468361i | |||||
−18.4042 | −0.801698 | |||||||||
3.45283 | − | 15.5528i | 0.150265 | − | 0.676849i | |||||
− | 20.2737i | − | 0.881466i | |||||||
30.2005 | − | 27.0695i | 1.31182 | − | 1.17582i | |||||
6.46687 | − | 15.6124i | 0.280638 | − | 0.677521i | |||||
38.8331 | − | 11.3125i | 1.68363 | − | 0.490461i | |||||
21.0767 | − | 2.66786i | 0.912934 | − | 0.115558i | |||||
16.2840 | − | 5.72516i | 0.704678 | − | 0.247752i | |||||
−40.6132 | + | 40.6132i | −1.75586 | + | 1.75586i | |||||
8.09654 | + | 5.03726i | 0.349717 | + | 0.217577i | |||||
−5.23851 | + | 5.23851i | −0.226058 | + | 0.226058i | |||||
−9.84110 | − | 4.72125i | −0.424280 | − | 0.203547i | |||||
−2.16345 | − | 5.22303i | −0.0931864 | − | 0.224972i | |||||
−25.5835 | − | 31.8862i | −1.10094 | − | 1.37216i | |||||
−19.5077 | − | 8.08037i | −0.838703 | − | 0.347402i | −0.0783613 | − | 0.996925i | ||
−0.760342 | + | 0.649523i | ||||||||
−15.6235 | − | 0.854143i | −0.671088 | − | 0.0366886i | |||||
24.0926 | 1.03391 | |||||||||
−11.2289 | + | 40.0923i | −0.481436 | + | 1.71894i | |||||
63.4080 | 2.71610 | |||||||||
14.6232 | + | 4.86882i | 0.625816 | + | 0.208366i | |||||
3.45537 | − | 8.34201i | 0.147741 | − | 0.356678i | −0.832633 | − | 0.553825i | ||
0.980374 | + | 0.197147i | ||||||||
−29.3292 | + | 23.5320i | −1.25288 | + | 1.00524i | |||||
−1.14417 | + | 0.473933i | −0.0488322 | + | 0.0202270i | |||||
−25.8031 | + | 53.7848i | −1.10025 | + | 2.29339i | |||||
−2.77468 | − | 2.77468i | −0.118205 | − | 0.118205i | |||||
−4.72283 | + | 1.10010i | −0.201017 | + | 0.0468233i | |||||
18.3435 | − | 18.3435i | 0.780046 | − | 0.780046i | |||||
0.190465 | + | 0.541737i | 0.00809207 | + | 0.0230162i | |||||
−5.87107 | − | 14.1740i | −0.249213 | − | 0.601653i | |||||
−0.00244781 | − | 0.00840273i | −0.000103810 | − | 0.000356355i | |||||
2.38893 | − | 5.76739i | 0.101222 | − | 0.244372i | −0.865153 | − | 0.501508i | ||
0.966375 | + | 0.257136i | ||||||||
−5.06073 | + | 4.53607i | −0.214238 | + | 0.192027i | |||||
−4.61326 | + | 16.8795i | −0.195120 | + | 0.713927i | |||||
−26.7236 | + | 38.1411i | −1.12928 | + | 1.61176i | |||||
−29.3144 | −1.23766 | |||||||||
5.98021 | + | 6.67191i | 0.252260 | + | 0.281437i | |||||
−14.1161 | − | 5.84709i | −0.594923 | − | 0.246425i | 0.0648438 | − | 0.997895i | ||
−0.659767 | + | 0.751470i | ||||||||
−3.77014 | + | 6.86963i | −0.158752 | + | 0.289264i | |||||
26.9419 | − | 11.1597i | 1.13345 | − | 0.469492i | |||||
35.1772 | − | 12.3677i | 1.47861 | − | 0.519852i | |||||
−0.944544 | + | 0.944544i | −0.0396671 | + | 0.0396671i | |||||
17.8493 | + | 24.9204i | 0.748940 | + | 1.04564i | |||||
−9.26813 | + | 9.26813i | −0.388540 | + | 0.388540i | −0.874167 | − | 0.485626i | ||
0.485626 | + | 0.874167i | ||||||||
17.6494 | − | 36.7889i | 0.739252 | − | 1.54092i | |||||
−15.0164 | + | 6.21999i | −0.628416 | + | 0.260298i | −0.674080 | − | 0.738659i | ||
0.0456640 | + | 0.998957i | ||||||||
−25.7275 | − | 10.1574i | −1.07572 | − | 0.424703i | |||||
9.75123 | − | 23.5416i | 0.407364 | − | 0.983463i | |||||
−24.2209 | − | 1.32417i | −1.01096 | − | 0.0552696i | |||||
18.1576 | 0.757226 | |||||||||
6.79385 | + | 13.7921i | 0.283077 | + | 0.574670i | |||||
− | 2.07845i | − | 0.0865269i | −0.999064 | − | 0.0432634i | ||||
0.999064 | − | 0.0432634i | ||||||||
52.4899 | + | 2.86964i | 2.18329 | + | 0.119361i | |||||
7.32349 | + | 3.03349i | 0.304354 | + | 0.126067i | |||||
4.49120 | + | 0.492543i | 0.186487 | + | 0.0204517i | |||||
−6.08247 | + | 2.51944i | −0.252344 | + | 0.104524i | |||||
−11.6986 | − | 5.61236i | −0.484921 | − | 0.232640i | |||||
−19.4474 | − | 19.4474i | −0.805430 | − | 0.805430i | |||||
8.59663 | − | 6.15735i | 0.355731 | − | 0.254793i | |||||
−24.0702 | + | 13.7372i | −0.995179 | + | 0.567963i | |||||
4.39946 | + | 12.5133i | 0.181740 | + | 0.516922i | |||||
−29.1093 | + | 12.0574i | −1.20147 | + | 0.497664i | −0.891473 | − | 0.453074i | ||
−0.309995 | + | 0.950738i | ||||||||
−2.68324 | − | 1.47260i | −0.110655 | − | 0.0607288i | |||||
−16.0496 | − | 6.64797i | −0.661313 | − | 0.273925i | |||||
−37.0364 | + | 33.1967i | −1.52476 | + | 1.36669i | |||||
−1.14210 | −0.0469796 | |||||||||
2.56159 | + | 14.5528i | 0.105281 | + | 0.598118i | |||||
3.87908 | 0.159295 | 0.0796473 | − | 0.996823i | ||||||
0.0796473 | + | 0.996823i | ||||||||
−20.6439 | + | 18.5037i | −0.847028 | + | 0.759214i | |||||
79.1699 | + | 32.7932i | 3.24565 | + | 1.34439i | |||||
−0.169188 | + | 0.0492864i | −0.00693020 | + | 0.00201885i | |||||
0.723562 | + | 1.74683i | 0.0296134 | + | 0.0714931i | |||||
0.599722 | + | 8.39784i | 0.0245244 | + | 0.343413i | |||||
−6.88889 | − | 6.88889i | −0.281472 | − | 0.281472i | 0.552224 | − | 0.833696i | ||
−0.833696 | + | 0.552224i | ||||||||
7.32689 | + | 31.4550i | 0.299119 | + | 1.28415i | |||||
−10.1124 | + | 10.1124i | −0.412494 | + | 0.412494i | −0.882607 | − | 0.470112i | ||
0.470112 | + | 0.882607i | ||||||||
8.64209 | − | 18.0138i | 0.352225 | − | 0.734188i | |||||
−2.47946 | − | 5.98595i | −0.100971 | − | 0.243767i | |||||
−0.755769 | + | 0.606384i | −0.0307518 | + | 0.0246734i | |||||
13.7203 | + | 5.68315i | 0.557811 | + | 0.231053i | |||||
0.121671 | − | 2.22554i | 0.00494255 | − | 0.0904065i | |||||
11.0109 | 0.446920 | 0.223460 | − | 0.974713i | ||||||
0.223460 | + | 0.974713i | ||||||||
−24.2745 | + | 30.9070i | −0.984463 | + | 1.25344i | |||||
1.70724i | 0.0691809i | |||||||||
3.63956 | + | 0.198976i | 0.147362 | + | 0.00805631i | |||||
10.7522 | + | 8.33602i | 0.434986 | + | 0.337239i | |||||
22.0653 | − | 17.7039i | 0.891939 | − | 0.715638i | |||||
4.91732 | + | 11.8715i | 0.198609 | + | 0.479484i | 0.991536 | − | 0.129832i | ||
−0.792927 | + | 0.609316i | ||||||||
16.0016 | − | 33.3542i | 0.645773 | − | 1.34607i | |||||
−17.3034 | + | 17.3034i | −0.697741 | + | 0.697741i | |||||
26.8156 | + | 16.6833i | 1.08043 | + | 0.672190i | |||||
−19.4321 | + | 19.4321i | −0.782306 | + | 0.782306i | −0.980220 | − | 0.197913i | ||
0.197913 | + | 0.980220i | ||||||||
−0.661589 | − | 1.88175i | −0.0266130 | − | 0.0756951i | |||||
3.56961 | − | 1.47858i | 0.143475 | − | 0.0594291i | −0.309791 | − | 0.950805i | ||
0.453265 | + | 0.891376i | ||||||||
19.2041 | − | 5.59437i | 0.771253 | − | 0.224675i | |||||
7.79600 | + | 3.22921i | 0.312843 | + | 0.129584i | |||||
−14.6703 | − | 16.3671i | −0.588224 | − | 0.656261i | |||||
34.2176i | 1.37090i | |||||||||
−14.3058 | + | 4.42757i | −0.572692 | + | 0.177245i | |||||
− | 40.9488i | − | 1.63795i | |||||||
−12.6427 | + | 11.3320i | −0.505302 | + | 0.452916i | |||||
−25.5641 | − | 10.5890i | −1.02093 | − | 0.422883i | |||||
−6.72505 | + | 12.2538i | −0.268359 | + | 0.488981i | |||||
25.1197 | − | 10.4049i | 1.00159 | − | 0.414871i | |||||
29.8525 | − | 10.4956i | 1.18935 | − | 0.418154i | |||||
17.7394 | − | 17.7394i | 0.706193 | − | 0.706193i | −0.259539 | − | 0.965733i | ||
0.965733 | + | 0.259539i | ||||||||
−4.11148 | + | 24.8683i | −0.163546 | + | 0.989209i | |||||
11.6459 | − | 11.6459i | 0.462884 | − | 0.462884i | |||||
20.9901 | + | 10.0700i | 0.833625 | + | 0.399930i | |||||
−7.28336 | − | 17.5836i | −0.289031 | − | 0.697783i | |||||
−14.8015 | − | 1.62325i | −0.586916 | − | 0.0643662i | |||||
−3.25601 | + | 4.19974i | −0.129008 | + | 0.166400i | |||||
0.167255 | − | 3.05934i | 0.00662169 | − | 0.121120i | |||||
− | 20.8279i | − | 0.823939i | |||||||
−0.470031 | − | 45.2481i | −0.0185796 | − | 1.78859i | |||||
43.3388 | 1.71178 | 0.855891 | − | 0.517157i | ||||||
0.855891 | + | 0.517157i | ||||||||
21.0560 | + | 1.15114i | 0.831012 | + | 0.0454317i | |||||
−30.2147 | − | 12.5153i | −1.19155 | − | 0.493557i | −0.303291 | − | 0.952898i | ||
−0.888260 | + | 0.459341i | ||||||||
1.04795 | − | 9.55565i | 0.0412951 | − | 0.376545i | |||||
−7.71319 | − | 18.6213i | −0.303707 | − | 0.733213i | |||||
65.1985 | + | 31.2789i | 2.56520 | + | 1.23065i | |||||
−13.6398 | + | 13.6398i | −0.536236 | + | 0.536236i | −0.922421 | − | 0.386186i | ||
0.386186 | + | 0.922421i | ||||||||
0.211708 | − | 1.28052i | 0.00831668 | − | 0.0503035i | |||||
23.8494 | + | 23.8494i | 0.936170 | + | 0.936170i | |||||
55.9314 | − | 3.99427i | 2.19381 | − | 0.156668i | |||||
2.89239 | + | 6.98284i | 0.113362 | + | 0.273679i | |||||
21.8936 | + | 12.0155i | 0.857419 | + | 0.470562i | |||||
−41.8250 | − | 17.3245i | −1.63674 | − | 0.677960i | −0.640778 | − | 0.767726i | ||
−0.995963 | + | 0.0897662i | ||||||||
−15.5383 | − | 17.3356i | −0.607598 | − | 0.677875i | |||||
−26.7966 | −1.04703 | |||||||||
19.8817 | − | 12.6578i | 0.776252 | − | 0.494202i | |||||
−7.18487 | −0.280308 | |||||||||
−10.3683 | − | 11.5675i | −0.404197 | − | 0.450948i | |||||
10.8562 | + | 4.49680i | 0.422899 | + | 0.175170i | 0.583975 | − | 0.811772i | ||
−0.161077 | + | 0.986942i | ||||||||
30.5885 | − | 8.91079i | 1.19066 | − | 0.346852i | |||||
−33.2622 | + | 13.7776i | −1.29375 | + | 0.535888i | −0.920101 | − | 0.391682i | ||
−0.373648 | + | 0.927570i | ||||||||
−7.52341 | + | 2.64509i | −0.292406 | + | 0.102804i | |||||
13.6583 | + | 23.9319i | 0.530443 | + | 0.929436i | |||||
3.37921 | − | 5.43150i | 0.131139 | − | 0.210783i | |||||
57.1957 | + | 57.1957i | 2.21795 | + | 2.21795i | |||||
4.34285 | − | 9.05236i | 0.168282 | − | 0.350772i | |||||
−0.861609 | + | 0.356890i | −0.0333616 | + | 0.0138188i | |||||
20.7479 | + | 25.8592i | 0.802759 | + | 1.00052i | |||||
−8.55979 | − | 3.54558i | −0.330940 | − | 0.137080i | |||||
−1.04098 | + | 19.0410i | −0.0402165 | + | 0.735618i | |||||
− | 2.47181i | − | 0.0954231i | |||||||
16.9764 | − | 2.04045i | 0.654879 | − | 0.0787120i | |||||
1.79896 | 0.0693449 | 0.0346724 | − | 0.999399i | ||||||
0.0346724 | + | 0.999399i | ||||||||
0.611016 | − | 11.1764i | 0.0235355 | − | 0.430498i | |||||
21.5072 | − | 51.9230i | 0.827813 | − | 1.99852i | |||||
3.69467 | + | 25.7361i | 0.142103 | + | 0.989852i | |||||
−22.3917 | + | 9.27493i | −0.860582 | + | 0.356465i | −0.768935 | − | 0.639327i | ||
−0.0916466 | + | 0.995792i | ||||||||
−9.65323 | − | 4.63112i | −0.370730 | − | 0.177857i | |||||
18.1877 | − | 18.1877i | 0.697981 | − | 0.697981i | |||||
−81.0916 | + | 18.8888i | −3.10972 | + | 0.724353i | |||||
−4.02766 | + | 4.02766i | −0.154340 | + | 0.154340i | |||||
−4.49900 | − | 12.7965i | −0.172276 | − | 0.490002i | |||||
15.8660 | − | 6.57193i | 0.607097 | − | 0.251468i | −0.0578898 | − | 0.998323i | ||
0.664987 | + | 0.746855i | ||||||||
25.6374 | − | 7.46849i | 0.980272 | − | 0.285565i | |||||
−69.4741 | − | 28.7771i | −2.65447 | − | 1.09952i | |||||
−16.9407 | + | 15.1844i | −0.646799 | + | 0.579743i | |||||
−11.0570 | −0.421851 | |||||||||
3.36533 | + | 19.1190i | 0.128302 | + | 0.728904i | |||||
−6.81559 | + | 24.9376i | −0.259653 | + | 0.950047i | |||||
−6.47269 | − | 7.22135i | −0.246411 | − | 0.274912i | |||||
2.84020 | − | 6.85686i | 0.108046 | − | 0.260847i | −0.860604 | − | 0.509275i | ||
0.968651 | + | 0.248427i | ||||||||
20.8144 | + | 11.4232i | 0.791244 | + | 0.434245i | |||||
−8.21193 | − | 19.8253i | −0.311945 | − | 0.753103i | |||||
−46.7834 | + | 16.4482i | −1.77587 | + | 0.624365i | |||||
0.0123760 | − | 0.0123760i | 0.000469450 | − | 0.000469450i | |||||
−0.965925 | − | 1.34858i | −0.0366133 | − | 0.0511179i | |||||
−30.6657 | − | 30.6657i | −1.16155 | − | 1.16155i | |||||
27.3904 | + | 13.1405i | 1.03674 | + | 0.497376i | |||||
24.1059 | − | 9.98500i | 0.911770 | − | 0.377667i | |||||
−63.6426 | − | 6.97959i | −2.40547 | − | 0.263804i | |||||
−2.34365 | + | 5.65807i | −0.0885183 | + | 0.213702i | −0.961939 | − | 0.273264i | ||
0.873421 | + | 0.486967i | ||||||||
24.7246 | + | 8.23207i | 0.933169 | + | 0.310699i | |||||
25.6644 | 0.967953 | |||||||||
−30.6213 | + | 1.99330i | −1.15408 | + | 0.0751251i | |||||
−15.6709 | −0.590200 | |||||||||
−1.38047 | + | 25.2508i | −0.0519547 | + | 0.950328i | |||||
4.08207 | + | 1.69085i | 0.153522 | + | 0.0635909i | |||||
18.1518 | + | 1.99068i | 0.682186 | + | 0.0748143i | |||||
−7.89990 | − | 19.0720i | −0.296687 | − | 0.716265i | −0.999986 | − | 0.00537098i | ||
0.703299 | − | 0.710894i | ||||||||
−26.5154 | + | 55.2695i | −0.995106 | + | 2.07423i | |||||
12.1103 | − | 12.1103i | 0.454173 | − | 0.454173i | |||||
−19.3597 | − | 27.0291i | −0.725534 | − | 1.01296i | |||||
−2.91946 | + | 2.91946i | −0.109334 | + | 0.109334i | |||||
−10.4353 | − | 29.6809i | −0.390530 | − | 1.11078i | |||||
−6.94624 | − | 54.8770i | −0.259775 | − | 2.05228i | |||||
12.5094 | + | 6.86531i | 0.467498 | + | 0.256569i | |||||
−5.65366 | + | 13.6491i | −0.211140 | + | 0.509737i | |||||
−25.4853 | − | 28.4330i | −0.951103 | − | 1.06111i | |||||
23.3731i | 0.871669i | 0.900027 | + | 0.435834i | ||||||
−0.900027 | + | 0.435834i | ||||||||
−17.6428 | + | 25.1806i | −0.657510 | + | 0.938427i | |||||
3.95412 | 0.147259 | |||||||||
27.6243 | + | 30.8194i | 1.02807 | + | 1.14698i | |||||
5.70588 | − | 13.7752i | 0.212204 | − | 0.512306i | |||||
−12.9789 | − | 44.5534i | −0.482359 | − | 1.65581i | |||||
2.37696 | + | 5.73850i | 0.0882783 | + | 0.213123i | |||||
−1.80846 | − | 5.14378i | −0.0671182 | − | 0.190904i | |||||
−26.1047 | − | 26.1047i | −0.968169 | − | 0.968169i | 0.0313402 | − | 0.999509i | ||
−0.999509 | + | 0.0313402i | ||||||||
1.12601 | − | 29.6650i | 0.0417325 | − | 1.09946i | |||||
10.6334 | − | 10.6334i | 0.393830 | − | 0.393830i | |||||
19.0660 | + | 9.14686i | 0.705663 | + | 0.338540i | |||||
33.0013 | − | 13.6696i | 1.22060 | − | 0.505588i | |||||
−0.837489 | − | 1.04381i | −0.0309545 | − | 0.0385802i | |||||
21.3849 | + | 8.85792i | 0.789870 | + | 0.327175i | 0.740891 | − | 0.671625i | ||
0.0489784 | + | 0.998800i | ||||||||
2.11023 | − | 38.5992i | 0.0778901 | − | 1.42472i | |||||
− | 6.12097i | − | 0.225775i | |||||||
4.57861 | + | 8.14110i | 0.168770 | + | 0.300085i | |||||
12.9317 | 0.476345 | |||||||||
−15.9906 | − | 0.874209i | −0.588620 | − | 0.0321801i | |||||
−20.5537 | − | 8.51360i | −0.756078 | − | 0.313178i | −0.0288595 | − | 0.999583i | ||
−0.727219 | + | 0.686406i | ||||||||
−23.0486 | + | 18.4928i | −0.847284 | + | 0.679810i | |||||
3.26620 | + | 25.8038i | 0.119987 | + | 0.947926i | |||||
12.7677 | − | 26.6134i | 0.468719 | − | 0.977010i | |||||
−6.66455 | − | 6.66455i | −0.244499 | − | 0.244499i | 0.574210 | − | 0.818708i | ||
−0.818708 | + | 0.574210i | ||||||||
−6.23551 | − | 3.87942i | −0.228605 | − | 0.142226i | |||||
−0.249190 | − | 0.249190i | −0.00912961 | − | 0.00912961i | |||||
5.63130 | + | 16.0171i | 0.206177 | + | 0.586426i | |||||
−4.01563 | + | 1.66333i | −0.146924 | + | 0.0608579i | |||||
15.7920 | + | 54.2099i | 0.577413 | + | 1.98211i | |||||
−15.9972 | + | 38.6206i | −0.584524 | + | 1.41117i | |||||
−26.2280 | + | 23.5089i | −0.957712 | + | 0.858424i | |||||
− | 32.4068i | − | 1.18254i | −0.806474 | − | 0.591270i | ||||
0.806474 | − | 0.591270i | ||||||||
14.7347 | + | 3.27122i | 0.537321 | + | 0.119289i | |||||
30.2835i | 1.10359i | |||||||||
−2.57553 | + | 1.28887i | −0.0937952 | + | 0.0469380i | |||||
−1.79024 | − | 0.741541i | −0.0651535 | − | 0.0269875i | |||||
−26.0838 | − | 14.3151i | −0.948658 | − | 0.520635i | |||||
2.39182 | + | 5.77436i | 0.0869321 | + | 0.209873i | 0.961367 | − | 0.275271i | ||
−0.874435 | + | 0.485143i | ||||||||
−7.89525 | − | 22.4564i | −0.286768 | − | 0.815652i | |||||
−4.65015 | + | 4.65015i | −0.168790 | + | 0.168790i | |||||
−77.5401 | − | 12.8197i | −2.81268 | − | 0.465020i | |||||
−10.4572 | − | 10.4572i | −0.379075 | − | 0.379075i | 0.491694 | − | 0.870768i | ||
−0.870768 | + | 0.491694i | ||||||||
−3.02249 | + | 6.30017i | −0.109493 | + | 0.228231i | |||||
42.6364 | − | 17.6606i | 1.54354 | − | 0.639356i | |||||
−48.7875 | − | 5.35045i | −1.76507 | − | 0.193573i | |||||
52.2677 | + | 21.6500i | 1.88974 | + | 0.782756i | |||||
−0.762454 | + | 13.9464i | −0.0275486 | + | 0.503904i | |||||
8.35831 | − | 30.5823i | 0.301801 | − | 1.10426i | |||||
−12.2555 | + | 11.2167i | −0.442234 | + | 0.404749i | |||||
− | 45.4420i | − | 1.63868i | −0.573307 | − | 0.819341i | ||||
0.573307 | − | 0.819341i | ||||||||
−3.44770 | + | 63.0635i | −0.124246 | + | 2.27265i | |||||
−8.73591 | + | 21.0903i | −0.314616 | + | 0.759550i | |||||
1.66446 | − | 15.1772i | 0.0599052 | − | 0.546239i | |||||
−0.646635 | − | 1.56111i | −0.0232578 | − | 0.0561494i | 0.911824 | − | 0.410581i | ||
−0.935082 | + | 0.354432i | ||||||||
5.70547 | − | 11.8927i | 0.205079 | − | 0.427472i | |||||
19.4442 | + | 19.4442i | 0.698456 | + | 0.698456i | |||||
−4.07656 | + | 24.6571i | −0.146340 | + | 0.885138i | |||||
−7.89558 | − | 7.89558i | −0.283252 | − | 0.283252i | |||||
32.9667 | − | 11.5905i | 1.18191 | − | 0.415539i | |||||
−15.6654 | − | 37.8196i | −0.561271 | − | 1.35503i | |||||
−21.5265 | − | 20.8202i | −0.770773 | − | 0.745484i | |||||
38.4060 | + | 15.9083i | 1.37427 | + | 0.569243i | |||||
12.7979 | − | 11.4711i | 0.457653 | − | 0.410206i | |||||
2.88656i | 0.103157i | |||||||||
−1.27772 | + | 5.75531i | −0.0456328 | + | 0.205547i | |||||
−27.9532 | −0.997693 | |||||||||
6.56659 | + | 7.32611i | 0.234223 | + | 0.261314i | |||||
13.7217 | − | 33.1272i | 0.489127 | − | 1.18086i | −0.466033 | − | 0.884768i | ||
0.955160 | − | 0.296090i | ||||||||
0.615260 | + | 2.11203i | 0.0219177 | + | 0.0752380i | |||||
4.52192 | + | 10.9169i | 0.160985 | + | 0.388651i | |||||
−47.5536 | + | 16.7190i | −1.69188 | + | 0.594835i | |||||
15.0079 | − | 15.0079i | 0.533618 | − | 0.533618i | |||||
17.7036 | + | 11.0143i | 0.629069 | + | 0.391375i | |||||
−2.01795 | + | 1.15167i | −0.0716594 | + | 0.0408971i | |||||
−10.2665 | + | 21.3998i | −0.364345 | + | 0.759451i | |||||
−11.3954 | − | 27.5109i | −0.404153 | − | 0.975712i | |||||
2.84056 | − | 2.27909i | 0.100681 | − | 0.0807803i | |||||
−4.73476 | + | 11.4307i | −0.167714 | + | 0.404897i | −0.985282 | − | 0.170934i | ||
0.817569 | + | 0.575831i | ||||||||
1.62115 | − | 29.6531i | 0.0573880 | − | 1.04971i | |||||
− | 27.7725i | − | 0.982520i | |||||||
54.2214 | − | 30.4945i | 1.91702 | − | 1.07814i | |||||
22.5903i | 0.798190i | |||||||||
−48.7383 | − | 2.66454i | −1.72101 | − | 0.0940881i | |||||
5.48777 | − | 13.2487i | 0.193659 | − | 0.467535i | |||||
5.46086 | − | 4.38147i | 0.192590 | − | 0.154522i | |||||
17.7607 | − | 7.35673i | 0.625983 | − | 0.259291i | |||||
−8.35065 | + | 9.63508i | −0.294139 | + | 0.339381i | |||||
−5.66682 | + | 5.66682i | −0.199481 | + | 0.199481i | |||||
−4.18115 | + | 0.973924i | −0.147092 | + | 0.0342625i | |||||
4.40985 | + | 4.40985i | 0.155042 | + | 0.155042i | 0.780366 | − | 0.625323i | ||
−0.625323 | + | 0.780366i | ||||||||
2.44863 | − | 0.860893i | 0.0860361 | − | 0.0302487i | |||||
−31.5144 | + | 13.0537i | −1.10662 | + | 0.458377i | −0.859772 | − | 0.510678i | ||
−0.246847 | + | 0.969054i | ||||||||
3.15713 | − | 0.919710i | 0.110794 | − | 0.0322755i | |||||
−4.39640 | + | 10.6138i | −0.154188 | + | 0.372244i | |||||
13.3752 | + | 14.9222i | 0.468800 | + | 0.523024i | |||||
49.9433i | 1.74944i | |||||||||
25.0359 | + | 17.5415i | 0.876433 | + | 0.614074i | |||||
33.7170 | 1.17961 | |||||||||
−3.91146 | − | 4.36387i | −0.136761 | − | 0.152579i | |||||
−12.3590 | + | 15.9412i | −0.431858 | + | 0.557030i | |||||
41.3201 | + | 22.6770i | 1.44296 | + | 0.791914i | |||||
−6.60418 | + | 2.73554i | −0.230487 | + | 0.0954710i | −0.494938 | − | 0.868928i | ||
0.264451 | + | 0.964399i | ||||||||
9.15728 | + | 26.0460i | 0.319397 | + | 0.908457i | |||||
5.40923 | + | 5.40923i | 0.188554 | + | 0.188554i | 0.795071 | − | 0.606517i | ||
−0.606517 | + | 0.795071i | ||||||||
−3.12344 | + | 2.23717i | −0.108810 | + | 0.0779355i | |||||
30.9710 | + | 30.9710i | 1.07827 | + | 1.07827i | |||||
−15.6577 | + | 32.6374i | −0.544803 | + | 1.13560i | |||||
10.2653 | + | 24.7826i | 0.356959 | + | 0.861776i | 0.995724 | + | 0.0923740i | ||
−0.638765 | + | 0.769402i | ||||||||
0.691854 | − | 6.30860i | 0.0240436 | − | 0.219239i | |||||
14.1391 | − | 34.1349i | 0.491072 | − | 1.18555i | −0.463103 | − | 0.886304i | ||
0.954175 | − | 0.299248i | ||||||||
12.7735 | + | 0.698332i | 0.443375 | + | 0.0242395i | |||||
0.421624 | 0.0146260 | |||||||||
15.8945 | + | 24.0700i | 0.551041 | + | 0.834478i | |||||
10.8478 | 0.375853 | |||||||||
−0.00641637 | 0.000350785i | −0.000222181 | 1.21467e-5i | |||||||
−25.3724 | + | 61.2543i | −0.878047 | + | 2.11979i | |||||
−5.81012 | + | 52.9790i | −0.200947 | + | 1.83232i | |||||
4.89037 | + | 11.8064i | 0.169036 | + | 0.408089i | |||||
6.57432 | − | 13.7037i | 0.227106 | − | 0.473387i | |||||
−16.1260 | − | 16.1260i | −0.556733 | − | 0.556733i | 0.371643 | − | 0.928376i | ||
−0.928376 | + | 0.371643i | ||||||||
19.9110 | + | 27.7989i | 0.686996 | + | 0.959153i | |||||
20.2805 | + | 20.2805i | 0.699328 | + | 0.699328i | |||||
4.56408 | + | 12.9816i | 0.157289 | + | 0.447374i | |||||
6.07773 | − | 2.51748i | 0.209328 | − | 0.0867066i | |||||
−27.8101 | − | 15.2625i | −0.957264 | − | 0.525358i | |||||
−41.5644 | + | 31.2393i | −1.42986 | + | 1.07466i | |||||
−6.84508 | − | 7.63681i | −0.235339 | − | 0.262559i | |||||
10.8086 | 0.371389 | |||||||||
4.97190 | + | 28.2462i | 0.170736 | + | 0.969979i | |||||
− | 27.3778i | − | 0.939605i | |||||||
−76.4001 | − | 85.2369i | −2.62050 | − | 2.92360i | |||||
2.33420 | − | 5.63527i | 0.0800155 | − | 0.193174i | |||||
21.6082 | − | 6.29474i | 0.740286 | − | 0.215654i | |||||
46.7452 | − | 19.3625i | 1.60053 | − | 0.662959i | 0.609035 | − | 0.793143i | ||
0.991490 | + | 0.130184i | ||||||||
2.50271 | − | 0.879908i | 0.0856411 | − | 0.0301098i | |||||
37.7603 | + | 37.7603i | 1.29138 | + | 1.29138i | |||||
−9.21433 | − | 39.5581i | −0.314939 | − | 1.35207i | |||||
30.7848 | − | 30.7848i | 1.05159 | − | 1.05159i | 0.0529934 | − | 0.998595i | ||
0.998595 | − | 0.0529934i | ||||||||
−13.3010 | + | 15.3469i | −0.454090 | + | 0.523934i | |||||
−38.9837 | + | 16.1476i | −1.33011 | + | 0.550948i | −0.930686 | − | 0.365820i | ||
−0.399421 | + | 0.916768i | ||||||||
−30.2804 | + | 24.2952i | −1.03255 | + | 0.828459i | |||||
−6.81566 | + | 16.4545i | −0.232277 | + | 0.560767i | |||||
−16.1872 | − | 0.884960i | −0.551338 | − | 0.0301418i | |||||
35.8690i | 1.22099i | 0.792018 | + | 0.610497i | ||||||
−0.792018 | + | 0.610497i | ||||||||
28.7033 | − | 3.44994i | 0.976505 | − | 0.117369i | |||||
47.4814i | 1.61442i | |||||||||
0.718754 | − | 13.1471i | 0.0244242 | − | 0.446755i | |||||
14.7704 | − | 35.6590i | 0.501630 | − | 1.21104i | |||||
11.3549 | − | 9.11051i | 0.385411 | − | 0.309231i | |||||
13.0812 | + | 31.5809i | 0.443750 | + | 1.07131i | |||||
1.43490 | − | 2.99094i | 0.0486476 | − | 0.101402i | |||||
−6.02517 | − | 10.5572i | −0.204155 | − | 0.357718i | |||||
−23.6873 | + | 38.0733i | −0.802153 | + | 1.28932i | |||||
12.0075 | − | 12.0075i | 0.406391 | − | 0.406391i | |||||
15.3042 | − | 5.38068i | 0.517673 | − | 0.182004i | |||||
−26.7198 | − | 64.5072i | −0.903293 | − | 2.18074i | |||||
−2.17146 | − | 7.45406i | −0.0733667 | − | 0.251849i | |||||
4.72801 | − | 11.4144i | 0.159653 | − | 0.385438i | −0.823729 | − | 0.566984i | ||
0.983382 | + | 0.181546i | ||||||||
−18.0616 | − | 20.1507i | −0.609551 | − | 0.680054i | |||||
9.73893 | 0.328486 | |||||||||
−32.9567 | − | 51.7657i | −1.11097 | − | 1.74502i | |||||
24.1680i | 0.814239i | 0.913375 | + | 0.407119i | ||||||
−0.913375 | + | 0.407119i | ||||||||
2.98290 | − | 2.67365i | 0.100439 | − | 0.0900265i | |||||
−8.10395 | − | 3.35677i | −0.272720 | − | 0.112964i | 0.242132 | − | 0.970243i | ||
−0.514852 | + | 0.857279i | ||||||||
36.8983 | − | 38.1500i | 1.24103 | − | 1.28312i | |||||
13.9748 | + | 33.7381i | 0.469757 | + | 1.13409i | |||||
13.6349 | − | 4.79377i | 0.458073 | − | 0.161050i | |||||
0.999959 | + | 0.999959i | 0.0335754 | + | 0.0335754i | 0.723695 | − | 0.690120i | ||
−0.690120 | + | 0.723695i | ||||||||
10.7040 | + | 1.76970i | 0.359204 | + | 0.0593872i | |||||
−9.79487 | − | 9.79487i | −0.328509 | − | 0.328509i | |||||
28.7591 | − | 59.9463i | 0.964008 | − | 2.00941i | |||||
−0.673578 | − | 1.62616i | −0.0225657 | − | 0.0544784i | |||||
−1.94544 | + | 17.7393i | −0.0651382 | + | 0.593956i | |||||
10.0320 | − | 24.2194i | 0.335708 | − | 0.810472i | |||||
−0.00706301 | + | 0.129193i | −0.000236222 | + | 0.00432085i | |||||
28.5362i | 0.953861i | |||||||||
−12.9187 | − | 30.2946i | −0.431584 | − | 1.01207i | |||||
5.96293 | + | 1.62970i | 0.199096 | + | 0.0544142i | |||||
−3.03576 | + | 55.5285i | −0.101305 | + | 1.85301i | |||||
−1.30484 | − | 0.540481i | −0.0435187 | − | 0.0180260i | |||||
−42.0166 | − | 4.60790i | −1.40055 | − | 0.153597i | |||||
48.7558 | − | 20.1953i | 1.62429 | − | 0.672803i | |||||
13.8255 | − | 28.8183i | 0.460340 | − | 0.959546i | |||||
−10.3729 | − | 10.3729i | −0.345189 | − | 0.345189i | |||||
−3.36383 | + | 20.3462i | −0.111879 | + | 0.676703i | |||||
65.6209 | − | 65.6209i | 2.18131 | − | 2.18131i | |||||
0.235969 | + | 0.671164i | 0.00783955 | + | 0.0222979i | |||||
13.3795 | + | 32.3009i | 0.444259 | + | 1.07254i | 0.974439 | + | 0.224651i | ||
−0.530181 | + | 0.847885i | ||||||||
9.61793 | + | 5.27844i | 0.319182 | + | 0.175171i | |||||
2.69497 | + | 1.11629i | 0.0893863 | + | 0.0370250i | |||||
53.0905 | − | 26.5681i | 1.75993 | − | 0.880723i | |||||
− | 56.5416i | − | 1.87331i | −0.350256 | − | 0.936654i | ||||
0.350256 | − | 0.936654i | ||||||||
15.4966 | + | 24.3408i | 0.513144 | + | 0.806004i | |||||
− | 8.67512i | − | 0.287105i | |||||||
9.68445 | − | 8.68044i | 0.320333 | − | 0.287123i | |||||
1.02416 | − | 2.47254i | 0.0338576 | − | 0.0817395i | |||||
5.95653 | + | 20.4473i | 0.196809 | + | 0.675597i | |||||
−18.0184 | + | 7.46346i | −0.595019 | + | 0.246465i | |||||
−17.6437 | − | 50.1838i | −0.582328 | − | 1.65631i | |||||
38.1443 | + | 38.1443i | 1.25827 | + | 1.25827i | 0.951920 | + | 0.306345i | ||
0.306345 | + | 0.951920i | ||||||||
−9.86723 | + | 15.8599i | −0.325313 | + | 0.522885i | |||||
−19.2064 | − | 19.2064i | −0.632873 | − | 0.632873i | |||||
22.1267 | − | 46.1216i | 0.728705 | − | 1.51893i | |||||
−4.90695 | − | 38.7661i | −0.161514 | − | 1.27600i | |||||
18.0863 | − | 14.5113i | 0.594995 | − | 0.477388i | |||||
−37.5321 | − | 15.5463i | −1.23405 | − | 0.511159i | |||||
−3.69785 | − | 0.202162i | −0.121519 | − | 0.00664347i | |||||
2.61050 | 0.0857400 | |||||||||
−1.97352 | + | 2.51274i | −0.0647841 | + | 0.0824848i | |||||
− | 18.4449i | − | 0.605157i | −0.953124 | − | 0.302578i | ||||
0.953124 | − | 0.302578i | ||||||||
0.801703 | − | 14.6643i | 0.0262889 | − | 0.480862i | |||||
9.45997 | + | 3.91845i | 0.310038 | + | 0.128422i | |||||
−31.4510 | − | 39.1991i | −1.03021 | − | 1.28401i | |||||
−14.9095 | + | 6.17572i | −0.488115 | + | 0.202184i | |||||
23.1884 | + | 11.1246i | 0.758747 | + | 0.364007i | |||||
−79.8437 | + | 79.8437i | −2.61117 | + | 2.61117i | |||||
0.743384 | − | 19.5847i | 0.0242983 | − | 0.640147i | |||||
−20.9082 | − | 20.9082i | −0.683040 | − | 0.683040i | 0.277644 | − | 0.960684i | ||
−0.960684 | + | 0.277644i | ||||||||
4.60339 | + | 13.0934i | 0.150306 | + | 0.427514i | |||||
4.77039 | + | 11.5168i | 0.155676 | + | 0.375835i | |||||
8.44209 | + | 28.9795i | 0.275351 | + | 0.945209i | |||||
8.46495 | − | 20.4362i | 0.275949 | − | 0.666201i | −0.723766 | − | 0.690045i | ||
0.999716 | + | 0.0238445i | ||||||||
6.85004 | + | 7.64234i | 0.223186 | + | 0.249001i | |||||
−9.72901 | −0.316820 | |||||||||
−6.09730 | − | 34.6398i | −0.198450 | − | 1.12743i | |||||
− | 59.5019i | − | 1.93560i | |||||||
17.5718 | + | 19.6043i | 0.571310 | + | 0.637390i | |||||
−10.9113 | + | 26.3423i | −0.354571 | + | 0.856009i | 0.641473 | + | 0.767146i | ||
−0.996044 | + | 0.0888638i | ||||||||
16.2241 | + | 8.90400i | 0.526935 | + | 0.289188i | |||||
−13.3729 | + | 1.69272i | −0.434102 | + | 0.0549479i | |||||
−35.8365 | − | 101.929i | −1.16269 | − | 3.30703i | |||||
12.0868 | − | 12.0868i | 0.391941 | − | 0.391941i | |||||
−49.2662 | + | 35.2870i | −1.59673 | + | 1.14366i | |||||
13.7265 | − | 13.7265i | 0.444646 | − | 0.444646i | −0.448924 | − | 0.893570i | ||
0.893570 | + | 0.448924i | ||||||||
8.42921 | − | 17.5701i | 0.272906 | − | 0.568853i | |||||
−37.5607 | − | 90.6796i | −1.21544 | − | 2.93432i | |||||
28.2865 | + | 3.10214i | 0.914851 | + | 0.100330i | |||||
−2.07836 | − | 0.860885i | −0.0671839 | − | 0.0278285i | |||||
0.990411 | − | 18.1161i | 0.0319987 | − | 0.585304i | |||||
−54.7304 | −1.76734 | |||||||||
−31.4562 | − | 10.6936i | −1.01524 | − | 0.345134i | |||||
24.7474 | 0.798302 | |||||||||
5.95047 | − | 17.8719i | 0.191851 | − | 0.576214i | |||||
−10.5613 | + | 25.4972i | −0.340332 | + | 0.821635i | |||||
−28.5478 | − | 3.13079i | −0.919461 | − | 0.100836i | |||||
28.2093 | − | 11.6847i | 0.908089 | − | 0.376143i | |||||
−6.36364 | − | 3.05294i | −0.204747 | − | 0.0982268i | |||||
−1.82965 | − | 1.82965i | −0.0588375 | − | 0.0588375i | 0.677076 | − | 0.735913i | ||
−0.735913 | + | 0.677076i | ||||||||
−8.53795 | + | 6.11532i | −0.274420 | + | 0.196554i | |||||
37.5434 | − | 37.5434i | 1.20607 | − | 1.20607i | |||||
−47.1497 | + | 16.5770i | −1.51389 | + | 0.532255i | |||||
11.6728 | + | 28.1805i | 0.374597 | + | 0.904357i | 0.992958 | + | 0.118463i | ||
−0.618362 | + | 0.785894i | ||||||||
−27.7168 | − | 15.2113i | −0.889015 | − | 0.487903i | |||||
0.00487481 | − | 0.0117688i | 0.000156279 | − | 0.000377292i | |||||
−22.4831 | − | 25.0836i | −0.720404 | − | 0.803729i | |||||
10.8542 | − | 39.7144i | 0.347611 | − | 1.27188i | |||||
−1.47911 | + | 2.11104i | −0.0473450 | + | 0.0675729i | |||||
−26.9686 | −0.862803 | −0.431402 | − | 0.902160i | ||||||
−0.431402 | + | 0.902160i | ||||||||
13.6544 | − | 12.2388i | 0.436619 | − | 0.391353i | |||||
−41.6558 | − | 17.2544i | −1.33133 | − | 0.551453i | |||||
−11.3193 | + | 3.29743i | −0.361580 | + | 0.105333i | |||||
28.1484 | − | 11.6594i | 0.898709 | − | 0.372258i | |||||
17.5672 | + | 49.9663i | 0.560593 | + | 1.59449i | |||||
−3.17050 | + | 3.17050i | −0.101123 | + | 0.101123i | −0.755858 | − | 0.654735i | ||
0.654735 | + | 0.755858i | ||||||||
−3.92580 | − | 16.8539i | −0.125150 | − | 0.537282i | |||||
−3.11073 | + | 3.11073i | −0.0991160 | + | 0.0991160i | |||||
5.30065 | + | 2.54297i | 0.168807 | + | 0.0809848i | |||||
−10.5373 | + | 4.36471i | −0.335407 | + | 0.138930i | |||||
45.9583 | − | 19.9408i | 1.46213 | − | 0.634402i | |||||
3.06659 | − | 7.40341i | 0.0975119 | − | 0.235415i | |||||
−2.27616 | + | 41.6343i | −0.0723411 | + | 1.32322i | |||||
−37.0589 | −1.17722 | −0.588608 | − | 0.808419i | ||||||
−0.588608 | + | 0.808419i | ||||||||
−3.81491 | + | 13.6210i | −0.121124 | + | 0.432466i | |||||
5.85534i | 0.185814i | |||||||||
−2.43552 | + | 44.5492i | −0.0772499 | + | 1.41301i | |||||
6.72861 | + | 2.78708i | 0.213311 | + | 0.0883565i | |||||
−2.93927 | − | 3.66337i | −0.0931344 | − | 0.116078i | |||||
−11.9236 | + | 4.93891i | −0.377624 | + | 0.156417i | −0.563418 | − | 0.826172i | ||
0.185795 | + | 0.982589i | ||||||||
14.6959 | − | 30.6326i | 0.465191 | − | 0.969657i | |||||
−13.3496 | − | 13.3496i | −0.422364 | − | 0.422364i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 416.2.bg.a.77.1 | ✓ | 216 | |
13.12 | even | 2 | inner | 416.2.bg.a.77.54 | yes | 216 | |
32.5 | even | 8 | inner | 416.2.bg.a.389.54 | yes | 216 | |
416.389 | even | 8 | inner | 416.2.bg.a.389.1 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
416.2.bg.a.77.1 | ✓ | 216 | 1.1 | even | 1 | trivial | |
416.2.bg.a.77.54 | yes | 216 | 13.12 | even | 2 | inner | |
416.2.bg.a.389.1 | yes | 216 | 416.389 | even | 8 | inner | |
416.2.bg.a.389.54 | yes | 216 | 32.5 | even | 8 | inner |