Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(149,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.149");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 400.q (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: |
Embedding invariants
Embedding label | 149.7 | ||
Root | of defining polynomial | ||
Character | 400.149 | ||
Dual form | 400.2.q.h.349.7 |
-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 .
1.39064 | + | 0.257150i | 0.983329 | + | 0.181833i | |||||
−1.66366 | − | 1.66366i | −0.960517 | − | 0.960517i | 0.0387330 | − | 0.999250i | ||
−0.999250 | + | 0.0387330i | ||||||||
1.86775 | + | 0.715205i | 0.933874 | + | 0.357603i | |||||
0 | 0 | |||||||||
−1.88574 | − | 2.74137i | −0.769851 | − | 1.11916i | |||||
2.89402 | 1.09384 | 0.546919 | − | 0.837186i | ||||||
0.546919 | + | 0.837186i | ||||||||
2.41345 | + | 1.47488i | 0.853282 | + | 0.521450i | |||||
2.53555i | 0.845184i | |||||||||
0 | 0 | |||||||||
1.84462 | + | 1.84462i | 0.556175 | + | 0.556175i | 0.928216 | − | 0.372041i | ||
−0.372041 | + | 0.928216i | ||||||||
−1.91744 | − | 4.29717i | −0.553518 | − | 1.24048i | |||||
−3.08011 | − | 3.08011i | −0.854268 | − | 0.854268i | 0.136388 | − | 0.990656i | ||
−0.990656 | + | 0.136388i | ||||||||
4.02454 | + | 0.744198i | 1.07560 | + | 0.198895i | |||||
0 | 0 | |||||||||
2.97696 | + | 2.67165i | 0.744241 | + | 0.667912i | |||||
− | 7.29875i | − | 1.77021i | −0.465393 | − | 0.885104i | ||||
0.465393 | − | 0.885104i | ||||||||
−0.652018 | + | 3.52604i | −0.153682 | + | 0.831095i | |||||
1.23593 | − | 1.23593i | 0.283542 | − | 0.283542i | −0.550978 | − | 0.834520i | ||
0.834520 | + | 0.550978i | ||||||||
0 | 0 | |||||||||
−4.81468 | − | 4.81468i | −1.05065 | − | 1.05065i | |||||
2.09086 | + | 3.03955i | 0.445773 | + | 0.648034i | |||||
4.60490 | 0.960189 | 0.480094 | − | 0.877217i | ||||||
0.480094 | + | 0.877217i | ||||||||
−1.56145 | − | 6.46887i | −0.318730 | − | 1.32045i | |||||
0 | 0 | |||||||||
−3.49126 | − | 5.07536i | −0.684693 | − | 0.995360i | |||||
−0.772683 | + | 0.772683i | −0.148703 | + | 0.148703i | |||||
5.40530 | + | 2.06982i | 1.02151 | + | 0.391159i | |||||
−4.24680 | + | 4.24680i | −0.788611 | + | 0.788611i | −0.981266 | − | 0.192656i | ||
0.192656 | + | 0.981266i | ||||||||
0 | 0 | |||||||||
2.06299 | 0.370524 | 0.185262 | − | 0.982689i | ||||||
0.185262 | + | 0.982689i | ||||||||
3.45286 | + | 4.48082i | 0.610386 | + | 0.792104i | |||||
− | 6.13767i | − | 1.06843i | |||||||
1.87688 | − | 10.1499i | 0.321882 | − | 1.74070i | |||||
0 | 0 | |||||||||
−1.81344 | + | 4.73577i | −0.302240 | + | 0.789296i | |||||
−1.17899 | + | 1.17899i | −0.193825 | + | 0.193825i | −0.797346 | − | 0.603522i | ||
0.603522 | + | 0.797346i | ||||||||
2.03655 | − | 1.40091i | 0.330373 | − | 0.227258i | |||||
10.2485i | 1.64108i | |||||||||
0 | 0 | |||||||||
4.61484i | 0.720717i | 0.932814 | + | 0.360359i | ||||||
−0.932814 | + | 0.360359i | ||||||||
−5.45738 | − | 7.93357i | −0.842092 | − | 1.22418i | |||||
−3.03019 | + | 3.03019i | −0.462099 | + | 0.462099i | −0.899343 | − | 0.437244i | ||
0.437244 | + | 0.899343i | ||||||||
2.12601 | + | 4.76458i | 0.320508 | + | 0.718287i | |||||
0 | 0 | |||||||||
6.40375 | + | 1.18415i | 0.944182 | + | 0.174594i | |||||
11.7111i | 1.70823i | 0.520081 | + | 0.854117i | ||||||
−0.520081 | + | 0.854117i | ||||||||
−0.507943 | − | 9.39739i | −0.0733152 | − | 1.35640i | |||||
1.37537 | 0.196481 | |||||||||
0 | 0 | |||||||||
−12.1427 | + | 12.1427i | −1.70031 | + | 1.70031i | |||||
−3.54995 | − | 7.95577i | −0.492290 | − | 1.10327i | |||||
−2.73048 | + | 2.73048i | −0.375061 | + | 0.375061i | −0.869316 | − | 0.494256i | ||
0.494256 | + | 0.869316i | ||||||||
−1.27322 | + | 0.875827i | −0.173263 | + | 0.119185i | |||||
0 | 0 | |||||||||
6.98457 | + | 4.26835i | 0.933352 | + | 0.570382i | |||||
−4.11235 | −0.544694 | |||||||||
−6.99782 | + | 4.81369i | −0.918859 | + | 0.632069i | |||||
−3.11306 | − | 3.11306i | −0.405285 | − | 0.405285i | 0.474805 | − | 0.880091i | ||
−0.880091 | + | 0.474805i | ||||||||
0 | 0 | |||||||||
2.34962 | − | 2.34962i | 0.300838 | − | 0.300838i | −0.540503 | − | 0.841342i | ||
0.841342 | + | 0.540503i | ||||||||
2.86887 | + | 0.530498i | 0.364347 | + | 0.0673733i | |||||
7.33795i | 0.924495i | |||||||||
3.64944 | + | 7.11910i | 0.456180 | + | 0.889888i | |||||
0 | 0 | |||||||||
1.57830 | − | 8.53528i | 0.194276 | − | 1.05062i | |||||
−8.24311 | − | 8.24311i | −1.00706 | − | 1.00706i | −0.999975 | − | 0.00708173i | ||
−0.00708173 | − | 0.999975i | ||||||||
5.22011 | − | 13.6322i | 0.633031 | − | 1.65315i | |||||
−7.66101 | − | 7.66101i | −0.922277 | − | 0.922277i | |||||
0 | 0 | |||||||||
− | 3.25937i | − | 0.386816i | −0.981118 | − | 0.193408i | ||||
0.981118 | − | 0.193408i | ||||||||
−3.73965 | + | 6.11942i | −0.440721 | + | 0.721180i | |||||
−12.6877 | −1.48499 | −0.742494 | − | 0.669853i | ||||||
−0.742494 | + | 0.669853i | ||||||||
−1.94272 | + | 1.33637i | −0.225837 | + | 0.155350i | |||||
0 | 0 | |||||||||
3.19235 | − | 1.42446i | 0.366188 | − | 0.163397i | |||||
5.33839 | + | 5.33839i | 0.608365 | + | 0.608365i | |||||
−2.63541 | + | 14.2520i | −0.298401 | + | 1.61372i | |||||
0.113885 | 0.0128130 | 0.00640652 | − | 0.999979i | ||||||
0.00640652 | + | 0.999979i | ||||||||
0 | 0 | |||||||||
10.1776 | 1.13085 | |||||||||
−1.18671 | + | 6.41758i | −0.131050 | + | 0.708703i | |||||
9.76813 | + | 9.76813i | 1.07219 | + | 1.07219i | 0.997183 | + | 0.0750089i | ||
0.0750089 | + | 0.997183i | ||||||||
−5.54912 | − | 12.4361i | −0.605459 | − | 1.35689i | |||||
0 | 0 | |||||||||
−4.99310 | + | 3.43468i | −0.538420 | + | 0.370371i | |||||
14.1305 | 1.51495 | |||||||||
1.73129 | + | 7.17251i | 0.184557 | + | 0.764592i | |||||
3.74593i | 0.397068i | 0.980094 | + | 0.198534i | ||||||
−0.980094 | + | 0.198534i | ||||||||
0 | 0 | |||||||||
−8.91390 | − | 8.91390i | −0.934430 | − | 0.934430i | |||||
8.60080 | + | 3.29345i | 0.896695 | + | 0.343366i | |||||
−3.43212 | − | 3.43212i | −0.355894 | − | 0.355894i | |||||
−3.01150 | + | 16.2858i | −0.310613 | + | 1.67976i | |||||
0 | 0 | |||||||||
1.71017 | − | 13.1990i | 0.174544 | − | 1.34711i | |||||
13.9853i | 1.41999i | 0.704206 | + | 0.709995i | ||||||
−0.704206 | + | 0.709995i | ||||||||
1.91264 | + | 0.353676i | 0.193206 | + | 0.0357267i | |||||
−4.67714 | + | 4.67714i | −0.470071 | + | 0.470071i | |||||
0 | 0 | |||||||||
3.52228 | + | 3.52228i | 0.350480 | + | 0.350480i | 0.860288 | − | 0.509808i | ||
−0.509808 | + | 0.860288i | ||||||||
−20.0085 | + | 13.7636i | −1.98114 | + | 1.36280i | |||||
−0.150216 | −0.0148013 | −0.00740063 | − | 0.999973i | ||||||
−0.00740063 | + | 0.999973i | ||||||||
−2.89087 | − | 11.9765i | −0.283473 | − | 1.17439i | |||||
0 | 0 | |||||||||
−4.49926 | + | 3.09497i | −0.437006 | + | 0.300610i | |||||
−2.75062 | + | 2.75062i | −0.265912 | + | 0.265912i | −0.827451 | − | 0.561539i | ||
0.561539 | + | 0.827451i | ||||||||
−1.99580 | + | 0.890550i | −0.192046 | + | 0.0856932i | |||||
6.90778 | − | 6.90778i | 0.661646 | − | 0.661646i | −0.294122 | − | 0.955768i | ||
0.955768 | + | 0.294122i | ||||||||
0 | 0 | |||||||||
3.92288 | 0.372344 | |||||||||
8.61540 | + | 7.73181i | 0.814078 | + | 0.730587i | |||||
− | 3.49507i | − | 0.328788i | −0.986395 | − | 0.164394i | ||||
0.986395 | − | 0.164394i | ||||||||
−5.71879 | − | 1.05749i | −0.535614 | − | 0.0990431i | |||||
0 | 0 | |||||||||
−10.9693 | + | 4.89461i | −1.01847 | + | 0.454454i | |||||
7.80977 | − | 7.80977i | 0.722014 | − | 0.722014i | |||||
−3.52861 | − | 5.12966i | −0.324835 | − | 0.472223i | |||||
− | 21.1228i | − | 1.93632i | |||||||
0 | 0 | |||||||||
− | 4.19472i | − | 0.381338i | |||||||
3.87168 | − | 2.66327i | 0.350526 | − | 0.241121i | |||||
7.67755 | − | 7.67755i | 0.692261 | − | 0.692261i | |||||
3.85314 | + | 1.47546i | 0.346022 | + | 0.132500i | |||||
0 | 0 | |||||||||
−1.88695 | + | 10.2044i | −0.168103 | + | 0.909083i | |||||
− | 6.25357i | − | 0.554915i | −0.960738 | − | 0.277458i | ||||
0.960738 | − | 0.277458i | ||||||||
3.24437 | + | 10.8385i | 0.286764 | + | 0.958001i | |||||
10.0824 | 0.887708 | |||||||||
0 | 0 | |||||||||
−5.16490 | + | 5.16490i | −0.451259 | + | 0.451259i | −0.895772 | − | 0.444513i | ||
0.444513 | + | 0.895772i | ||||||||
4.38969 | − | 11.4636i | 0.382074 | − | 0.997780i | |||||
3.57681 | − | 3.57681i | 0.310149 | − | 0.310149i | |||||
−9.34347 | − | 13.5829i | −0.807153 | − | 1.17338i | |||||
0 | 0 | |||||||||
10.7648 | − | 17.6151i | 0.923075 | − | 1.51049i | |||||
−18.9408 | −1.61823 | −0.809113 | − | 0.587654i | ||||||
−0.809113 | + | 0.587654i | ||||||||
−8.68366 | − | 12.6237i | −0.739203 | − | 1.07460i | |||||
−2.79057 | − | 2.79057i | −0.236693 | − | 0.236693i | 0.578786 | − | 0.815479i | ||
−0.815479 | + | 0.578786i | ||||||||
0 | 0 | |||||||||
19.4833 | − | 19.4833i | 1.64079 | − | 1.64079i | |||||
0.838147 | − | 4.53260i | 0.0703357 | − | 0.380367i | |||||
− | 11.3633i | − | 0.950245i | |||||||
−6.77410 | + | 7.54825i | −0.564509 | + | 0.629021i | |||||
0 | 0 | |||||||||
−17.6441 | − | 3.26265i | −1.46023 | − | 0.270019i | |||||
−2.28815 | − | 2.28815i | −0.188723 | − | 0.188723i | |||||
−3.04527 | + | 1.35883i | −0.250320 | + | 0.111696i | |||||
1.60372 | + | 1.60372i | 0.131382 | + | 0.131382i | 0.769740 | − | 0.638358i | ||
−0.638358 | + | 0.769740i | ||||||||
0 | 0 | |||||||||
2.53754i | 0.206502i | 0.994655 | + | 0.103251i | ||||||
−0.994655 | + | 0.103251i | ||||||||
4.80571 | − | 1.16000i | 0.389794 | − | 0.0940883i | |||||
18.5064 | 1.49615 | |||||||||
6.05099 | + | 8.79653i | 0.487603 | + | 0.708844i | |||||
0 | 0 | |||||||||
−7.32980 | + | 19.1417i | −0.586854 | + | 1.53256i | |||||
−10.2405 | − | 10.2405i | −0.817278 | − | 0.817278i | 0.168435 | − | 0.985713i | ||
−0.985713 | + | 0.168435i | ||||||||
0.158373 | + | 0.0292855i | 0.0125994 | + | 0.00232983i | |||||
9.08521 | 0.720504 | |||||||||
0 | 0 | |||||||||
13.3267 | 1.05029 | |||||||||
14.1534 | + | 2.61718i | 1.11200 | + | 0.205625i | |||||
8.02607 | + | 8.02607i | 0.628650 | + | 0.628650i | 0.947728 | − | 0.319078i | ||
−0.319078 | + | 0.947728i | ||||||||
−3.30056 | + | 8.61936i | −0.257731 | + | 0.673059i | |||||
0 | 0 | |||||||||
11.0721 | + | 16.0958i | 0.859358 | + | 1.24928i | |||||
−6.82611 | −0.528221 | −0.264110 | − | 0.964492i | ||||||
−0.264110 | + | 0.964492i | ||||||||
−4.51888 | − | 18.7211i | −0.348639 | − | 1.44436i | |||||
5.97411i | 0.459547i | |||||||||
0 | 0 | |||||||||
3.13377 | + | 3.13377i | 0.239645 | + | 0.239645i | |||||
−7.82683 | + | 3.49242i | −0.596790 | + | 0.266294i | |||||
5.08901 | + | 5.08901i | 0.386910 | + | 0.386910i | 0.873584 | − | 0.486674i | ||
−0.486674 | + | 0.873584i | ||||||||
19.6504 | + | 3.63366i | 1.48969 | + | 0.275467i | |||||
0 | 0 | |||||||||
0.563193 | + | 10.4196i | 0.0424523 | + | 0.785404i | |||||
10.3582i | 0.778567i | |||||||||
−0.963267 | + | 5.20924i | −0.0721999 | + | 0.390449i | |||||
−1.63797 | + | 1.63797i | −0.122428 | + | 0.122428i | −0.765666 | − | 0.643238i | ||
0.643238 | + | 0.765666i | ||||||||
0 | 0 | |||||||||
−16.7757 | − | 16.7757i | −1.24693 | − | 1.24693i | −0.957071 | − | 0.289855i | ||
−0.289855 | − | 0.957071i | ||||||||
−10.1038 | − | 14.6882i | −0.748943 | − | 1.08876i | |||||
−7.81797 | −0.577921 | |||||||||
11.1137 | + | 6.79170i | 0.819312 | + | 0.500691i | |||||
0 | 0 | |||||||||
−3.89026 | − | 5.65540i | −0.285248 | − | 0.414674i | |||||
13.4635 | − | 13.4635i | 0.984546 | − | 0.984546i | |||||
−8.37582 | + | 21.8733i | −0.610869 | + | 1.59527i | |||||
−2.23616 | + | 2.23616i | −0.162657 | + | 0.162657i | |||||
0 | 0 | |||||||||
5.85815 | 0.423881 | 0.211940 | − | 0.977283i | ||||||
0.211940 | + | 0.977283i | ||||||||
5.77235 | − | 17.9152i | 0.416584 | − | 1.29292i | |||||
− | 0.0241155i | − | 0.00173587i | −1.00000 | 0.000867935i | |||||
1.00000 | 0.000867935i | |||||||||
−3.59632 | + | 19.4485i | −0.258201 | + | 1.39632i | |||||
0 | 0 | |||||||||
2.56884 | + | 0.983671i | 0.183489 | + | 0.0702622i | |||||
14.9086 | − | 14.9086i | 1.06219 | − | 1.06219i | 0.0642576 | − | 0.997933i | ||
0.997933 | − | 0.0642576i | ||||||||
−7.70694 | + | 5.30149i | −0.547708 | + | 0.376760i | |||||
− | 13.6525i | − | 0.967801i | −0.875123 | − | 0.483900i | ||||
0.875123 | − | 0.483900i | ||||||||
0 | 0 | |||||||||
27.4275i | 1.93459i | |||||||||
3.99246 | + | 5.80397i | 0.280909 | + | 0.408366i | |||||
−12.2903 | + | 12.2903i | −0.862612 | + | 0.862612i | |||||
−31.3640 | + | 13.9949i | −2.19592 | + | 0.979842i | |||||
0 | 0 | |||||||||
−0.208897 | − | 0.0386282i | −0.0145545 | − | 0.00269135i | |||||
11.6760i | 0.811537i | |||||||||
−0.940405 | − | 17.3983i | −0.0652053 | − | 1.20636i | |||||
4.55966 | 0.315398 | |||||||||
0 | 0 | |||||||||
−2.45103 | + | 2.45103i | −0.168736 | + | 0.168736i | −0.786424 | − | 0.617688i | ||
0.617688 | + | 0.786424i | ||||||||
−7.05271 | + | 3.14700i | −0.484382 | + | 0.216137i | |||||
−5.42249 | + | 5.42249i | −0.371543 | + | 0.371543i | |||||
−4.53243 | + | 3.11779i | −0.309831 | + | 0.213128i | |||||
0 | 0 | |||||||||
−3.00445 | + | 0.725211i | −0.204427 | + | 0.0493444i | |||||
5.97033 | 0.405293 | |||||||||
11.3826 | − | 7.82989i | 0.770924 | − | 0.530307i | |||||
21.1081 | + | 21.1081i | 1.42636 | + | 1.42636i | |||||
0 | 0 | |||||||||
−22.4809 | + | 22.4809i | −1.51223 | + | 1.51223i | |||||
5.45531 | + | 1.00877i | 0.366136 | + | 0.0677042i | |||||
13.9483i | 0.934045i | 0.884245 | + | 0.467023i | ||||||
−0.884245 | + | 0.467023i | ||||||||
9.99266 | + | 12.9676i | 0.667663 | + | 0.866434i | |||||
0 | 0 | |||||||||
0.898758 | − | 4.86038i | 0.0597845 | − | 0.323307i | |||||
−4.43883 | − | 4.43883i | −0.294616 | − | 0.294616i | 0.544285 | − | 0.838901i | ||
−0.838901 | + | 0.544285i | ||||||||
−7.68083 | − | 2.94117i | −0.508675 | − | 0.194784i | |||||
5.35068 | + | 5.35068i | 0.353583 | + | 0.353583i | 0.861441 | − | 0.507858i | ||
−0.507858 | + | 0.861441i | ||||||||
0 | 0 | |||||||||
− | 17.7626i | − | 1.16869i | |||||||
−16.5129 | + | 3.98588i | −1.08413 | + | 0.261686i | |||||
11.9370 | 0.782019 | 0.391010 | − | 0.920387i | ||||||
0.391010 | + | 0.920387i | ||||||||
12.8689 | − | 8.85228i | 0.841263 | − | 0.578692i | |||||
0 | 0 | |||||||||
−3.58793 | − | 8.04088i | −0.233554 | − | 0.523416i | |||||
−0.189466 | − | 0.189466i | −0.0123071 | − | 0.0123071i | |||||
5.43172 | − | 29.3741i | 0.352086 | − | 1.90404i | |||||
16.7720 | 1.08489 | 0.542445 | − | 0.840091i | ||||||
0.542445 | + | 0.840091i | ||||||||
0 | 0 | |||||||||
−22.0294 | −1.41904 | −0.709519 | − | 0.704686i | ||||||
−0.709519 | + | 0.704686i | ||||||||
1.07867 | − | 5.83334i | 0.0693397 | − | 0.374981i | |||||
−14.6141 | − | 14.6141i | −0.937495 | − | 0.937495i | |||||
6.06897 | − | 2.70804i | 0.388526 | − | 0.173365i | |||||
0 | 0 | |||||||||
12.6510 | − | 8.70241i | 0.806596 | − | 0.554845i | |||||
−7.61360 | −0.484442 | |||||||||
4.97891 | + | 3.04267i | 0.316161 | + | 0.193210i | |||||
− | 32.5018i | − | 2.05972i | |||||||
0 | 0 | |||||||||
6.63925 | + | 6.63925i | 0.419066 | + | 0.419066i | 0.884882 | − | 0.465816i | ||
−0.465816 | + | 0.884882i | ||||||||
−5.24814 | + | 13.7054i | −0.330602 | + | 0.863361i | |||||
8.49432 | + | 8.49432i | 0.534033 | + | 0.534033i | |||||
1.60811 | − | 8.69646i | 0.100902 | − | 0.545664i | |||||
0 | 0 | |||||||||
1.72461 | + | 15.9068i | 0.107788 | + | 0.994174i | |||||
7.25821i | 0.452755i | 0.974040 | + | 0.226377i | ||||||
−0.974040 | + | 0.226377i | ||||||||
14.0210 | + | 2.59270i | 0.872909 | + | 0.161414i | |||||
−3.41202 | + | 3.41202i | −0.212013 | + | 0.212013i | |||||
0 | 0 | |||||||||
−10.7680 | − | 10.7680i | −0.666521 | − | 0.666521i | |||||
−8.51066 | + | 5.85435i | −0.525790 | + | 0.361683i | |||||
9.27431 | 0.571878 | 0.285939 | − | 0.958248i | ||||||
0.285939 | + | 0.958248i | ||||||||
9.05235 | − | 14.8129i | 0.557133 | − | 0.911673i | |||||
0 | 0 | |||||||||
5.89383 | − | 4.05428i | 0.361374 | − | 0.248584i | |||||
6.23197 | − | 6.23197i | 0.381390 | − | 0.381390i | |||||
−9.50054 | − | 21.2916i | −0.580338 | − | 1.30059i | |||||
13.4195 | − | 13.4195i | 0.818199 | − | 0.818199i | −0.167648 | − | 0.985847i | ||
0.985847 | + | 0.167648i | ||||||||
0 | 0 | |||||||||
22.5999 | 1.37285 | 0.686423 | − | 0.727202i | ||||||
0.686423 | + | 0.727202i | ||||||||
19.4997 | − | 21.7281i | 1.18234 | − | 1.31746i | |||||
29.6595i | 1.79507i | |||||||||
−26.3399 | − | 4.87064i | −1.59125 | − | 0.294246i | |||||
0 | 0 | |||||||||
−8.82964 | − | 19.7880i | −0.531482 | − | 1.19110i | |||||
16.2015 | − | 16.2015i | 0.973451 | − | 0.973451i | −0.0262056 | − | 0.999657i | ||
0.999657 | + | 0.0262056i | ||||||||
−3.16308 | − | 4.59827i | −0.189709 | − | 0.275786i | |||||
5.23082i | 0.313161i | |||||||||
0 | 0 | |||||||||
− | 8.84793i | − | 0.527824i | −0.964547 | − | 0.263912i | ||||
0.964547 | − | 0.263912i | ||||||||
32.1043 | − | 22.0840i | 1.91178 | − | 1.31509i | |||||
20.3062 | − | 20.3062i | 1.20708 | − | 1.20708i | 0.235109 | − | 0.971969i | ||
0.971969 | − | 0.235109i | ||||||||
2.33112 | − | 6.08768i | 0.138326 | − | 0.361237i | |||||
0 | 0 | |||||||||
2.92207 | − | 15.8022i | 0.172786 | − | 0.934404i | |||||
13.3555i | 0.788348i | |||||||||
−11.3614 | + | 8.75492i | −0.669474 | + | 0.515888i | |||||
−36.2718 | −2.13364 | |||||||||
0 | 0 | |||||||||
23.2668 | − | 23.2668i | 1.36392 | − | 1.36392i | |||||
−23.6975 | − | 9.07434i | −1.38679 | − | 0.531036i | |||||
7.16936 | − | 7.16936i | 0.418839 | − | 0.418839i | −0.465965 | − | 0.884803i | ||
0.884803 | + | 0.465965i | ||||||||
−2.59359 | − | 3.77039i | −0.151261 | − | 0.219893i | |||||
0 | 0 | |||||||||
−4.58430 | + | 1.10655i | −0.266457 | + | 0.0643172i | |||||
−2.85062 | −0.165410 | |||||||||
1.81779 | + | 2.64259i | 0.105302 | + | 0.153081i | |||||
−14.1836 | − | 14.1836i | −0.820258 | − | 0.820258i | |||||
0 | 0 | |||||||||
−8.76943 | + | 8.76943i | −0.505461 | + | 0.505461i | |||||
−0.652528 | + | 3.52880i | −0.0375488 | + | 0.203059i | |||||
− | 11.7198i | − | 0.673284i | |||||||
6.98129 | − | 0.377349i | 0.400405 | − | 0.0216425i | |||||
0 | 0 | |||||||||
25.7357 | + | 4.75892i | 1.47121 | + | 0.272049i | |||||
18.4308 | + | 18.4308i | 1.05190 | + | 1.05190i | 0.998577 | + | 0.0533241i | ||
0.0533241 | + | 0.998577i | ||||||||
6.15271 | + | 13.7888i | 0.350583 | + | 0.785690i | |||||
0.249910 | + | 0.249910i | 0.0142169 | + | 0.0142169i | |||||
0 | 0 | |||||||||
7.08961i | 0.402015i | 0.979590 | + | 0.201007i | ||||||
−0.979590 | + | 0.201007i | ||||||||
−15.1154 | + | 24.7342i | −0.855739 | + | 1.40030i | |||||
−22.0477 | −1.24621 | −0.623104 | − | 0.782139i | ||||||
−0.623104 | + | 0.782139i | ||||||||
−11.6074 | − | 16.8741i | −0.655046 | − | 0.952262i | |||||
0 | 0 | |||||||||
0.212708 | + | 0.0814510i | 0.0119658 | + | 0.00458198i | |||||
6.19670 | + | 6.19670i | 0.348042 | + | 0.348042i | 0.859380 | − | 0.511338i | ||
−0.511338 | + | 0.859380i | ||||||||
12.6342 | + | 2.33626i | 0.708493 | + | 0.131011i | |||||
−15.6675 | −0.877211 | |||||||||
0 | 0 | |||||||||
9.15220 | 0.510826 | |||||||||
18.5326 | + | 3.42696i | 1.03278 | + | 0.190977i | |||||
−9.02076 | − | 9.02076i | −0.501929 | − | 0.501929i | |||||
19.0092 | + | 7.27910i | 1.05607 | + | 0.404394i | |||||
0 | 0 | |||||||||
9.09745 | + | 13.2253i | 0.503861 | + | 0.732479i | |||||
−22.9845 | −1.27104 | |||||||||
−6.80636 | + | 11.1377i | −0.375818 | + | 0.614975i | |||||
33.8921i | 1.86853i | |||||||||
0 | 0 | |||||||||
−18.6174 | − | 18.6174i | −1.02330 | − | 1.02330i | −0.999722 | − | 0.0235823i | ||
−0.0235823 | − | 0.999722i | ||||||||
11.2582 | + | 25.2306i | 0.617873 | + | 1.38471i | |||||
−2.98939 | − | 2.98939i | −0.163818 | − | 0.163818i | |||||
−9.49265 | − | 1.75534i | −0.519415 | − | 0.0960477i | |||||
0 | 0 | |||||||||
−1.47000 | − | 27.1962i | −0.0801949 | − | 1.48368i | |||||
− | 14.2577i | − | 0.776666i | −0.921519 | − | 0.388333i | ||||
0.921519 | − | 0.388333i | ||||||||
−1.53624 | + | 8.30782i | −0.0835606 | + | 0.451886i | |||||
−5.81462 | + | 5.81462i | −0.315807 | + | 0.315807i | |||||
0 | 0 | |||||||||
3.80544 | + | 3.80544i | 0.206076 | + | 0.206076i | |||||
3.55209 | + | 5.16379i | 0.192075 | + | 0.279226i | |||||
−16.2778 | −0.878919 | |||||||||
−11.7824 | + | 2.84402i | −0.635262 | + | 0.153339i | |||||
0 | 0 | |||||||||
5.76833 | + | 8.38561i | 0.310107 | + | 0.450813i | |||||
−23.5395 | + | 23.5395i | −1.26367 | + | 1.26367i | −0.314363 | + | 0.949303i | ||
−0.949303 | + | 0.314363i | ||||||||
26.3922 | + | 10.1062i | 1.41477 | + | 0.541749i | |||||
1.56682 | − | 1.56682i | 0.0838701 | − | 0.0838701i | −0.663927 | − | 0.747797i | ||
0.747797 | + | 0.663927i | ||||||||
0 | 0 | |||||||||
4.75989 | 0.254064 | |||||||||
−1.89619 | + | 14.6347i | −0.101068 | + | 0.780030i | |||||
9.44678i | 0.502801i | 0.967883 | + | 0.251401i | ||||||
−0.967883 | + | 0.251401i | ||||||||
−2.66360 | + | 14.4044i | −0.141569 | + | 0.765588i | |||||
0 | 0 | |||||||||
−2.67911 | + | 6.99646i | −0.141993 | + | 0.370811i | |||||
−35.1412 | + | 35.1412i | −1.85987 | + | 1.85987i | |||||
−2.69903 | + | 1.85662i | −0.142648 | + | 0.0981256i | |||||
18.0452i | 0.952392i | 0.879339 | + | 0.476196i | ||||||
−0.879339 | + | 0.476196i | ||||||||
0 | 0 | |||||||||
15.9449i | 0.839208i | |||||||||
−19.0150 | − | 27.6427i | −0.999407 | − | 1.45287i | |||||
−6.97860 | + | 6.97860i | −0.366282 | + | 0.366282i | |||||
−10.2736 | − | 23.0242i | −0.538485 | − | 1.20679i | |||||
0 | 0 | |||||||||
−10.8720 | − | 2.01039i | −0.568286 | − | 0.105085i | |||||
− | 29.1329i | − | 1.52073i | −0.649498 | − | 0.760363i | ||||
0.649498 | − | 0.760363i | ||||||||
13.7086 | + | 12.3027i | 0.714612 | + | 0.641321i | |||||
−11.7012 | −0.609139 | |||||||||
0 | 0 | |||||||||
−7.90208 | + | 7.90208i | −0.410255 | + | 0.410255i | |||||
−3.95566 | − | 8.86500i | −0.205091 | − | 0.459629i | |||||
−3.35598 | + | 3.35598i | −0.173766 | + | 0.173766i | −0.788632 | − | 0.614866i | ||
0.614866 | + | 0.788632i | ||||||||
22.1849 | − | 15.2607i | 1.14716 | − | 0.789110i | |||||
0 | 0 | |||||||||
−17.2725 | + | 28.2640i | −0.890759 | + | 1.45760i | |||||
26.1612 | 1.34737 | |||||||||
−3.68472 | + | 2.53466i | −0.189522 | + | 0.130369i | |||||
−11.6507 | − | 11.6507i | −0.598457 | − | 0.598457i | 0.341445 | − | 0.939902i | ||
−0.939902 | + | 0.341445i | ||||||||
0 | 0 | |||||||||
−10.4038 | + | 10.4038i | −0.533005 | + | 0.533005i | |||||
8.14656 | + | 1.50642i | 0.416814 | + | 0.0770753i | |||||
− | 21.8044i | − | 1.11415i | −0.830461 | − | 0.557077i | ||||
0.830461 | − | 0.557077i | ||||||||
12.6342 | − | 23.4292i | 0.644734 | − | 1.19562i | |||||
0 | 0 | |||||||||
0.00620130 | − | 0.0335359i | 0.000315638 | − | 0.00170693i | |||||
−7.68320 | − | 7.68320i | −0.390559 | − | 0.390559i | |||||
−10.0024 | + | 26.1210i | −0.507793 | + | 1.32609i | |||||
11.8899 | + | 11.8899i | 0.602842 | + | 0.602842i | 0.941066 | − | 0.338224i | ||
−0.338224 | + | 0.941066i | ||||||||
0 | 0 | |||||||||
− | 33.6101i | − | 1.69973i | |||||||
3.31938 | + | 2.02851i | 0.167654 | + | 0.102455i | |||||
17.1853 | 0.866884 | |||||||||
24.5661 | − | 16.8987i | 1.23762 | − | 0.851343i | |||||
0 | 0 | |||||||||
−12.0808 | + | 5.39061i | −0.607085 | + | 0.270888i | |||||
9.23905 | + | 9.23905i | 0.463694 | + | 0.463694i | 0.899864 | − | 0.436170i | ||
−0.436170 | + | 0.899864i | ||||||||
3.51074 | − | 18.9857i | 0.175978 | − | 0.951667i | |||||
−11.9012 | −0.595807 | |||||||||
0 | 0 | |||||||||
−14.4744 | −0.722818 | −0.361409 | − | 0.932407i | ||||||
−0.361409 | + | 0.932407i | ||||||||
−7.05300 | + | 38.1418i | −0.351771 | + | 1.90234i | |||||
−6.35422 | − | 6.35422i | −0.316526 | − | 0.316526i | |||||
4.05958 | + | 9.09789i | 0.201972 | + | 0.452637i | |||||
0 | 0 | |||||||||
−20.2519 | + | 13.9309i | −1.00508 | + | 0.691381i | |||||
−4.34958 | −0.215601 | |||||||||
−47.2147 | + | 11.3967i | −2.33748 | + | 0.564218i | |||||
9.54117i | 0.471781i | 0.971780 | + | 0.235890i | ||||||
−0.971780 | + | 0.235890i | ||||||||
0 | 0 | |||||||||
31.5112 | + | 31.5112i | 1.55433 | + | 1.55433i | |||||
−0.280566 | − | 0.107436i | −0.0138225 | − | 0.00529297i | |||||
−9.00925 | − | 9.00925i | −0.443316 | − | 0.443316i | |||||
−3.00248 | + | 16.2371i | −0.147564 | + | 0.798008i | |||||
0 | 0 | |||||||||
3.16622 | − | 24.4366i | 0.155237 | − | 1.19810i | |||||
9.28514i | 0.454695i | |||||||||
6.34083 | + | 1.17252i | 0.310140 | + | 0.0573497i | |||||
−0.837667 | + | 0.837667i | −0.0409227 | + | 0.0409227i | −0.727272 | − | 0.686349i | ||
0.686349 | + | 0.727272i | ||||||||
0 | 0 | |||||||||
17.9679 | + | 17.9679i | 0.875702 | + | 0.875702i | 0.993087 | − | 0.117385i | ||
−0.117385 | + | 0.993087i | ||||||||
−4.03878 | + | 2.77822i | −0.196605 | + | 0.135241i | |||||
−29.6940 | −1.44377 | |||||||||
−10.6170 | + | 2.56273i | −0.515608 | + | 0.124457i | |||||
0 | 0 | |||||||||
−8.93512 | + | 6.14633i | −0.432908 | + | 0.297791i | |||||
6.79986 | − | 6.79986i | 0.329068 | − | 0.329068i | |||||
−7.10471 | + | 3.17020i | −0.343419 | + | 0.153237i | |||||
−18.9047 | + | 18.9047i | −0.912726 | + | 0.912726i | |||||
0 | 0 | |||||||||
−3.85473 | −0.185676 | −0.0928380 | − | 0.995681i | ||||||
−0.0928380 | + | 0.995681i | ||||||||
−4.36459 | + | 0.235912i | −0.209991 | + | 0.0113503i | |||||
− | 25.5651i | − | 1.22858i | −0.789081 | − | 0.614289i | ||||
0.789081 | − | 0.614289i | ||||||||
8.30257 | + | 1.53527i | 0.398536 | + | 0.0736954i | |||||
0 | 0 | |||||||||
17.8425 | − | 7.96151i | 0.854500 | − | 0.381287i | |||||
5.69135 | − | 5.69135i | 0.272254 | − | 0.272254i | |||||
23.9258 | + | 34.7817i | 1.14322 | + | 1.66194i | |||||
30.1311i | 1.43808i | 0.694970 | + | 0.719039i | ||||||
−0.694970 | + | 0.719039i | ||||||||
0 | 0 | |||||||||
3.48732i | 0.166063i | |||||||||
−37.0438 | + | 25.4819i | −1.76199 | + | 1.21205i | |||||
−20.1625 | + | 20.1625i | −0.957948 | + | 0.957948i | −0.999151 | − | 0.0412027i | ||
0.0412027 | + | 0.999151i | ||||||||
7.32695 | + | 2.80567i | 0.347722 | + | 0.133151i | |||||
0 | 0 | |||||||||
−3.58680 | + | 19.3970i | −0.169840 | + | 0.918474i | |||||
− | 5.33610i | − | 0.252389i | |||||||
10.5616 | + | 20.6028i | 0.498987 | + | 0.973393i | |||||
36.5827 | 1.72644 | 0.863221 | − | 0.504826i | ||||||
0.863221 | + | 0.504826i | ||||||||
0 | 0 | |||||||||
−8.51265 | + | 8.51265i | −0.400845 | + | 0.400845i | |||||
2.49969 | − | 6.52791i | 0.117576 | − | 0.307047i | |||||
4.22161 | − | 4.22161i | 0.198349 | − | 0.198349i | |||||
−5.03136 | − | 7.31426i | −0.236134 | − | 0.343275i | |||||
0 | 0 | |||||||||
−9.92493 | − | 6.06523i | −0.464777 | − | 0.284031i | |||||
−16.7340 | −0.782785 | −0.391392 | − | 0.920224i | ||||||
−0.391392 | + | 0.920224i | ||||||||
6.06493 | + | 8.81679i | 0.283396 | + | 0.411982i | |||||
5.63962 | + | 5.63962i | 0.263235 | + | 0.263235i | |||||
0 | 0 | |||||||||
11.8377 | − | 11.8377i | 0.551335 | − | 0.551335i | −0.375491 | − | 0.926826i | ||
0.926826 | + | 0.375491i | ||||||||
4.56764 | − | 24.7013i | 0.212506 | − | 1.14921i | |||||
− | 32.2711i | − | 1.49976i | −0.661572 | − | 0.749882i | ||||
0.661572 | − | 0.749882i | ||||||||
−23.9885 | + | 1.29661i | −1.11364 | + | 0.0601938i | |||||
0 | 0 | |||||||||
16.6000 | + | 3.06960i | 0.768982 | + | 0.142197i | |||||
−1.22565 | − | 1.22565i | −0.0567163 | − | 0.0567163i | 0.678180 | − | 0.734896i | ||
−0.734896 | + | 0.678180i | ||||||||
20.1723 | − | 9.00109i | 0.932464 | − | 0.416076i | |||||
−23.8558 | − | 23.8558i | −1.10156 | − | 1.10156i | |||||
0 | 0 | |||||||||
34.0734i | 1.57002i | |||||||||
−2.92180 | − | 12.1046i | −0.134487 | − | 0.557159i | |||||
−11.1791 | −0.514016 | |||||||||
−0.214757 | − | 0.312200i | −0.00986413 | − | 0.0143398i | |||||
0 | 0 | |||||||||
15.1071 | − | 39.4520i | 0.692433 | − | 1.80828i | |||||
−6.92328 | − | 6.92328i | −0.316995 | − | 0.316995i | |||||
23.3238 | + | 4.31292i | 1.06680 | + | 0.197268i | |||||
−28.8399 | −1.31773 | −0.658865 | − | 0.752261i | ||||||
−0.658865 | + | 0.752261i | ||||||||
0 | 0 | |||||||||
7.26282 | 0.331156 | |||||||||
−30.6349 | − | 5.66486i | −1.39538 | − | 0.258027i | |||||
−22.1711 | − | 22.1711i | −1.00882 | − | 1.00882i | |||||
3.00009 | − | 7.83468i | 0.136368 | − | 0.356122i | |||||
0 | 0 | |||||||||
−16.5649 | − | 24.0809i | −0.751399 | − | 1.09233i | |||||
32.1668 | 1.45762 | 0.728808 | − | 0.684718i | ||||||
0.728808 | + | 0.684718i | ||||||||
9.13611 | − | 2.20527i | 0.413572 | − | 0.0998278i | |||||
− | 26.7054i | − | 1.20766i | |||||||
0 | 0 | |||||||||
−5.43607 | − | 5.43607i | −0.245326 | − | 0.245326i | 0.573723 | − | 0.819049i | ||
−0.819049 | + | 0.573723i | ||||||||
19.8307 | − | 8.84870i | 0.894039 | − | 0.398930i | |||||
30.9963 | + | 30.9963i | 1.39600 | + | 1.39600i | |||||
−10.5878 | − | 1.95784i | −0.476366 | − | 0.0880873i | |||||
0 | 0 | |||||||||
6.14144 | + | 5.51157i | 0.275759 | + | 0.247477i | |||||
− | 9.43268i | − | 0.423114i | |||||||
8.35783 | − | 45.1982i | 0.374524 | − | 2.02538i | |||||
17.1282 | − | 17.1282i | 0.766762 | − | 0.766762i | −0.210773 | − | 0.977535i | ||
0.977535 | + | 0.210773i | ||||||||
0 | 0 | |||||||||
11.3564 | + | 11.3564i | 0.507365 | + | 0.507365i | |||||
7.52551 | + | 10.9401i | 0.335880 | + | 0.488280i | |||||
23.5180 | 1.04862 | 0.524308 | − | 0.851529i | ||||||
0.524308 | + | 0.851529i | ||||||||
−10.8226 | + | 17.7097i | −0.482078 | + | 0.788855i | |||||
0 | 0 | |||||||||
9.62821 | + | 13.9968i | 0.428026 | + | 0.622235i | |||||
9.93890 | − | 9.93890i | 0.441402 | − | 0.441402i | |||||
4.47259 | − | 11.6801i | 0.198439 | − | 0.518221i | |||||
−20.3147 | + | 20.3147i | −0.900434 | + | 0.900434i | −0.995474 | − | 0.0950391i | ||
0.0950391 | + | 0.995474i | ||||||||
0 | 0 | |||||||||
−36.7186 | −1.62434 | |||||||||
−1.69212 | + | 22.5641i | −0.0747820 | + | 0.997200i | |||||
1.90997i | 0.0843271i | |||||||||
−1.86645 | + | 10.0935i | −0.0823256 | + | 0.445207i | |||||
0 | 0 | |||||||||
18.8314 | + | 7.21100i | 0.829007 | + | 0.317447i | |||||
−21.6025 | + | 21.6025i | −0.950077 | + | 0.950077i | |||||
−5.62229 | + | 3.86748i | −0.247029 | + | 0.169928i | |||||
− | 16.9328i | − | 0.743268i | |||||||
0 | 0 | |||||||||
− | 35.5082i | − | 1.55564i | −0.628487 | − | 0.777820i | ||||
0.628487 | − | 0.777820i | ||||||||
−12.2054 | − | 17.7434i | −0.534215 | − | 0.776606i | |||||
−0.677766 | + | 0.677766i | −0.0296366 | + | 0.0296366i | −0.721770 | − | 0.692133i | ||
0.692133 | + | 0.721770i | ||||||||
−13.3407 | + | 5.95276i | −0.582791 | + | 0.260048i | |||||
0 | 0 | |||||||||
12.8972 | + | 2.38489i | 0.562345 | + | 0.103986i | |||||
− | 15.0572i | − | 0.655904i | |||||||
16.3977 | − | 18.2716i | 0.713618 | − | 0.795170i | |||||
−1.79485 | −0.0780371 | |||||||||
0 | 0 | |||||||||
7.89332 | − | 7.89332i | 0.342541 | − | 0.342541i | |||||
9.23874 | − | 4.12243i | 0.400550 | − | 0.178730i | |||||
14.2142 | − | 14.2142i | 0.615686 | − | 0.615686i | |||||
10.2690 | − | 7.06386i | 0.444382 | − | 0.305683i | |||||
0 | 0 | |||||||||
−7.73667 | − | 32.0519i | −0.334173 | − | 1.38443i | |||||
5.45007 | 0.235188 | |||||||||
22.1124 | − | 15.2108i | 0.953334 | − | 0.655784i | |||||
2.53704 | + | 2.53704i | 0.109278 | + | 0.109278i | |||||
0 | 0 | |||||||||
5.37099 | − | 5.37099i | 0.230917 | − | 0.230917i | −0.582158 | − | 0.813075i | ||
0.813075 | + | 0.582158i | ||||||||
31.4283 | + | 5.81157i | 1.34996 | + | 0.249628i | |||||
55.8181i | 2.39539i | |||||||||
32.7044 | − | 25.2016i | 1.40219 | − | 1.08051i | |||||
0 | 0 | |||||||||
−7.62693 | + | 41.2456i | −0.326403 | + | 1.76515i | |||||
−8.86782 | − | 8.86782i | −0.379161 | − | 0.379161i | 0.491639 | − | 0.870799i | ||
−0.870799 | + | 0.491639i | ||||||||
−35.3767 | − | 13.5466i | −1.51122 | − | 0.578682i | |||||
5.95760 | + | 5.95760i | 0.254264 | + | 0.254264i | |||||
0 | 0 | |||||||||
10.4975i | 0.447209i | |||||||||
−7.19034 | − | 29.7885i | −0.306041 | − | 1.26788i | |||||
0.329585 | 0.0140154 | |||||||||
26.6966 | − | 18.3641i | 1.13423 | − | 0.780218i | |||||
0 | 0 | |||||||||
−3.21625 | − | 7.20791i | −0.136399 | − | 0.305684i | |||||
22.8089 | + | 22.8089i | 0.966446 | + | 0.966446i | 0.999455 | − | 0.0330091i | ||
−0.0330091 | + | 0.999455i | ||||||||
−1.34510 | + | 7.27417i | −0.0569428 | + | 0.307940i | |||||
18.6666 | 0.789513 | |||||||||
0 | 0 | |||||||||
−44.7973 | −1.89135 | |||||||||
2.27525 | − | 12.3043i | 0.0959755 | − | 0.519024i | |||||
20.9711 | + | 20.9711i | 0.883826 | + | 0.883826i | 0.993921 | − | 0.110095i | ||
−0.110095 | + | 0.993921i | ||||||||
50.3244 | − | 22.4553i | 2.11904 | − | 0.945538i | |||||
0 | 0 | |||||||||
33.4603 | − | 23.0168i | 1.40644 | − | 0.967469i | |||||
29.4543 | 1.23696 | |||||||||
4.80719 | − | 7.86630i | 0.201705 | − | 0.330063i | |||||
8.05295i | 0.337597i | 0.985651 | + | 0.168799i | ||||||
−0.985651 | + | 0.168799i | ||||||||
0 | 0 | |||||||||
−22.5040 | − | 22.5040i | −0.941762 | − | 0.941762i | 0.0566333 | − | 0.998395i | ||
−0.998395 | + | 0.0566333i | ||||||||
8.12708 | − | 21.2237i | 0.339810 | − | 0.887409i | |||||
−9.74599 | − | 9.74599i | −0.407144 | − | 0.407144i | |||||
−3.43436 | + | 18.5726i | −0.143347 | + | 0.775206i | |||||
0 | 0 | |||||||||
−18.0509 | + | 9.25334i | −0.752119 | + | 0.385556i | |||||
− | 15.9819i | − | 0.665334i | −0.943044 | − | 0.332667i | ||||
0.943044 | − | 0.332667i | ||||||||
−50.4410 | − | 9.32730i | −2.09807 | − | 0.387965i | |||||
−0.0401200 | + | 0.0401200i | −0.00166733 | + | 0.00166733i | |||||
0 | 0 | |||||||||
28.2692 | + | 28.2692i | 1.17280 | + | 1.17280i | |||||
38.3388 | − | 26.3727i | 1.58919 | − | 1.09318i | |||||
−10.0734 | −0.417199 | |||||||||
−30.6212 | − | 18.7129i | −1.26711 | − | 0.774347i | |||||
0 | 0 | |||||||||
11.8136 | − | 8.12638i | 0.488015 | − | 0.335698i | |||||
−5.25752 | + | 5.25752i | −0.217001 | + | 0.217001i | −0.807233 | − | 0.590232i | ||
0.590232 | + | 0.807233i | ||||||||
−2.63719 | − | 5.91018i | −0.108756 | − | 0.243732i | |||||
2.54971 | − | 2.54971i | 0.105059 | − | 0.105059i | |||||
0 | 0 | |||||||||
−49.6057 | −2.04050 | |||||||||
−6.65965 | + | 0.359964i | −0.273710 | + | 0.0147944i | |||||
3.96571i | 0.162852i | 0.996679 | + | 0.0814260i | ||||||
−0.996679 | + | 0.0814260i | ||||||||
−3.96418 | − | 0.733038i | −0.162652 | − | 0.0300769i | |||||
0 | 0 | |||||||||
1.84835 | + | 4.14233i | 0.0757115 | + | 0.169676i | |||||
−22.7132 | + | 22.7132i | −0.929589 | + | 0.929589i | |||||
−16.0769 | − | 23.3716i | −0.657435 | − | 0.955734i | |||||
− | 8.31600i | − | 0.339783i | −0.985463 | − | 0.169891i | ||||
0.985463 | − | 0.169891i | ||||||||
0 | 0 | |||||||||
− | 46.0550i | − | 1.87862i | −0.343068 | − | 0.939310i | ||||
0.343068 | − | 0.939310i | ||||||||
−14.4502 | + | 9.94004i | −0.588944 | + | 0.405126i | |||||
20.9009 | − | 20.9009i | 0.851149 | − | 0.851149i | |||||
−1.81486 | + | 4.73948i | −0.0738456 | + | 0.192847i | |||||
0 | 0 | |||||||||
3.01374 | − | 16.2980i | 0.122425 | − | 0.662060i | |||||
5.05760i | 0.205282i | 0.994718 | + | 0.102641i | ||||||
−0.994718 | + | 0.102641i | ||||||||
9.80549 | + | 1.27048i | 0.397665 | + | 0.0515249i | |||||
40.8940 | 1.65711 | |||||||||
0 | 0 | |||||||||
36.0713 | − | 36.0713i | 1.45929 | − | 1.45929i | |||||
34.5652 | + | 13.2359i | 1.39722 | + | 0.535028i | |||||
−31.2000 | + | 31.2000i | −1.26016 | + | 1.26016i | −0.309141 | + | 0.951016i | ||
−0.951016 | + | 0.309141i | ||||||||
20.8911 | + | 30.3701i | 0.843096 | + | 1.22564i | |||||
0 | 0 | |||||||||
5.01041 | + | 20.7574i | 0.201875 | + | 0.836339i | |||||
30.7412 | 1.23759 | 0.618796 | − | 0.785551i | ||||||
0.618796 | + | 0.785551i | ||||||||
0.283269 | + | 0.411798i | 0.0113948 | + | 0.0165649i | |||||
16.8766 | + | 16.8766i | 0.678329 | + | 0.678329i | 0.959622 | − | 0.281293i | ||
−0.281293 | + | 0.959622i | ||||||||
0 | 0 | |||||||||
−3.55813 | + | 3.55813i | −0.142783 | + | 0.142783i | |||||
−1.82309 | + | 9.85908i | −0.0730994 | + | 0.395313i | |||||
10.8408i | 0.434328i | |||||||||
−27.3804 | + | 30.5095i | −1.09609 | + | 1.22136i | |||||
0 | 0 | |||||||||
−30.6603 | − | 5.66956i | −1.22543 | − | 0.226601i | |||||
−7.58574 | − | 7.58574i | −0.302945 | − | 0.302945i | |||||
−11.8026 | − | 26.4506i | −0.470974 | − | 1.05550i | |||||
8.60515 | + | 8.60515i | 0.343110 | + | 0.343110i | |||||
0 | 0 | |||||||||
30.7318i | 1.22342i | 0.791084 | + | 0.611708i | ||||||
−0.791084 | + | 0.611708i | ||||||||
0.274855 | + | 0.167967i | 0.0109331 | + | 0.00668136i | |||||
8.15539 | 0.324147 | |||||||||
7.02389 | + | 10.2109i | 0.278954 | + | 0.405525i | |||||
0 | 0 | |||||||||
16.9689 | + | 6.49779i | 0.672860 | + | 0.257654i | |||||
−4.23628 | − | 4.23628i | −0.167848 | − | 0.167848i | |||||
−21.7878 | − | 4.02890i | −0.862588 | − | 0.159506i | |||||
8.26430 | 0.326931 | |||||||||
0 | 0 | |||||||||
22.1658 | 0.875496 | 0.437748 | − | 0.899098i | ||||||
0.437748 | + | 0.899098i | ||||||||
12.7274 | + | 2.35349i | 0.502310 | + | 0.0928848i | |||||
0.975773 | + | 0.975773i | 0.0384807 | + | 0.0384807i | 0.726085 | − | 0.687605i | ||
−0.687605 | + | 0.726085i | ||||||||
24.8909 | + | 9.53133i | 0.980839 | + | 0.375587i | |||||
0 | 0 | |||||||||
−10.2249 | − | 14.8643i | −0.402294 | − | 0.584828i | |||||
−23.2610 | −0.914484 | −0.457242 | − | 0.889342i | ||||||
−0.457242 | + | 0.889342i | ||||||||
24.5632 | + | 15.0108i | 0.964932 | + | 0.589681i | |||||
− | 11.4848i | − | 0.450819i | |||||||
0 | 0 | |||||||||
−9.93263 | − | 9.93263i | −0.389290 | − | 0.389290i | |||||
9.25038 | + | 20.7310i | 0.362273 | + | 0.811887i | |||||
−23.9372 | − | 23.9372i | −0.936735 | − | 0.936735i | 0.0613792 | − | 0.998115i | ||
−0.998115 | + | 0.0613792i | ||||||||
−31.9631 | − | 5.91046i | −1.24985 | − | 0.231117i | |||||
0 | 0 | |||||||||
−12.3292 | + | 13.7382i | −0.481376 | + | 0.536387i | |||||
− | 32.1704i | − | 1.25509i | |||||||
−8.71535 | + | 47.1316i | −0.339760 | + | 1.83738i | |||||
14.1064 | − | 14.1064i | 0.549508 | − | 0.549508i | −0.376790 | − | 0.926299i | ||
0.926299 | + | 0.376790i | ||||||||
0 | 0 | |||||||||
−3.04121 | − | 3.04121i | −0.118289 | − | 0.118289i | 0.645484 | − | 0.763774i | ||
−0.763774 | + | 0.645484i | ||||||||
−21.1026 | − | 30.6775i | −0.820175 | − | 1.19232i | |||||
74.8014 | 2.90505 | |||||||||
9.16800 | + | 37.9817i | 0.355787 | + | 1.47398i | |||||
0 | 0 | |||||||||
−3.38844 | − | 4.92588i | −0.131299 | − | 0.190874i | |||||
−19.5561 | + | 19.5561i | −0.757215 | + | 0.757215i | |||||
−12.7495 | − | 4.88207i | −0.493291 | − | 0.188893i | |||||
23.2052 | − | 23.2052i | 0.897166 | − | 0.897166i | |||||
0 | 0 | |||||||||
8.66835 | 0.334638 | |||||||||
4.94928 | − | 38.1981i | 0.190923 | − | 1.47353i | |||||
− | 25.3628i | − | 0.977662i | −0.872378 | − | 0.488831i | ||||
0.872378 | − | 0.488831i | ||||||||
3.66637 | − | 19.8273i | 0.141223 | − | 0.763719i | |||||
0 | 0 | |||||||||
−4.27271 | + | 11.1581i | −0.164335 | + | 0.429159i | |||||
9.36526 | − | 9.36526i | 0.359936 | − | 0.359936i | −0.503853 | − | 0.863789i | ||
0.863789 | + | 0.503853i | ||||||||
−9.58126 | + | 6.59080i | −0.367966 | + | 0.253118i | |||||
40.4737i | 1.55324i | |||||||||
0 | 0 | |||||||||
14.7695i | 0.565967i | |||||||||
4.31342 | + | 6.27056i | 0.165169 | + | 0.240112i | |||||
−4.20530 | + | 4.20530i | −0.160911 | + | 0.160911i | −0.782970 | − | 0.622059i | ||
0.622059 | + | 0.782970i | ||||||||
3.61180 | + | 8.09438i | 0.138101 | + | 0.309496i | |||||
0 | 0 | |||||||||
−22.6365 | − | 4.18584i | −0.864267 | − | 0.159816i | |||||
− | 17.8035i | − | 0.679245i | |||||||
−17.1163 | + | 0.925163i | −0.652554 | + | 0.0352715i | |||||
16.8204 | 0.640804 | |||||||||
0 | 0 | |||||||||
5.79295 | − | 5.79295i | 0.220374 | − | 0.220374i | −0.588282 | − | 0.808656i | ||
0.808656 | + | 0.588282i | ||||||||
5.86530 | + | 13.1447i | 0.222965 | + | 0.499686i | |||||
−13.5358 | + | 13.5358i | −0.514181 | + | 0.514181i | |||||
−38.7881 | + | 26.6817i | −1.47238 | + | 1.01282i | |||||
0 | 0 | |||||||||
34.1032 | + | 20.8408i | 1.29268 | + | 0.789969i | |||||
33.6826 | 1.27582 | |||||||||
2.58179 | − | 1.77598i | 0.0977223 | − | 0.0672217i | |||||
−19.8592 | − | 19.8592i | −0.751142 | − | 0.751142i | |||||
0 | 0 | |||||||||
−0.258991 | + | 0.258991i | −0.00978196 | + | 0.00978196i | −0.711981 | − | 0.702199i | ||
0.702199 | + | 0.711981i | ||||||||
6.61929 | + | 1.22401i | 0.249829 | + | 0.0461972i | |||||
2.91430i | 0.109915i | |||||||||
−6.40023 | + | 19.8639i | −0.241218 | + | 0.748649i | |||||
0 | 0 | |||||||||
−2.42924 | + | 13.1370i | −0.0914257 | + | 0.494419i | |||||
10.1936 | + | 10.1936i | 0.383368 | + | 0.383368i | |||||
−7.40821 | + | 19.3464i | −0.278418 | + | 0.727083i | |||||
0.751674 | + | 0.751674i | 0.0282297 | + | 0.0282297i | 0.721081 | − | 0.692851i | ||
−0.692851 | + | 0.721081i | ||||||||
0 | 0 | |||||||||
0.288761i | 0.0108294i | |||||||||
−5.52481 | + | 9.04060i | −0.207051 | + | 0.338811i | |||||
9.49986 | 0.355773 | |||||||||
−57.9052 | + | 39.8321i | −2.16705 | + | 1.49068i | |||||
0 | 0 | |||||||||
−4.23081 | + | 1.88783i | −0.158113 | + | 0.0705516i | |||||
−27.9029 | − | 27.9029i | −1.04205 | − | 1.04205i | |||||
−4.64034 | + | 25.0944i | −0.173176 | + | 0.936515i | |||||
−39.6557 | −1.47891 | −0.739455 | − | 0.673206i | ||||||
−0.739455 | + | 0.673206i | ||||||||
0 | 0 | |||||||||
−0.434730 | −0.0161902 | |||||||||
−4.10025 | + | 22.1736i | −0.152595 | + | 0.825218i | |||||
36.6495 | + | 36.6495i | 1.36301 | + | 1.36301i | |||||
−19.3347 | − | 43.3308i | −0.718567 | − | 1.61037i | |||||
0 | 0 | |||||||||
−11.4993 | + | 7.91016i | −0.426778 | + | 0.293574i | |||||
22.2952 | 0.826881 | 0.413441 | − | 0.910531i | ||||||
0.413441 | + | 0.910531i | ||||||||
−8.36625 | − | 34.6602i | −0.310074 | − | 1.28459i | |||||
18.0930i | 0.670112i | |||||||||
0 | 0 | |||||||||
22.1166 | + | 22.1166i | 0.818011 | + | 0.818011i | |||||
−14.6020 | − | 5.59145i | −0.539705 | − | 0.206666i | |||||
28.2309 | + | 28.2309i | 1.04273 | + | 1.04273i | 0.999045 | + | 0.0436851i | ||
0.0436851 | + | 0.999045i | ||||||||
7.49154 | − | 40.5134i | 0.276518 | − | 1.49538i | |||||
0 | 0 | |||||||||
15.9001 | + | 20.6337i | 0.586086 | + | 0.760570i | |||||
− | 30.4109i | − | 1.12020i | |||||||
−16.2721 | − | 3.00896i | −0.598985 | − | 0.110761i | |||||
5.45140 | − | 5.45140i | 0.200533 | − | 0.200533i | −0.599695 | − | 0.800228i | ||
0.800228 | + | 0.599695i | ||||||||
0 | 0 | |||||||||
12.6665 | + | 12.6665i | 0.465314 | + | 0.465314i | |||||
−13.0210 | + | 8.95691i | −0.478014 | + | 0.328819i | |||||
−52.5667 | −1.92849 | −0.964243 | − | 0.265020i | ||||||
−0.964243 | + | 0.265020i | ||||||||
−3.22126 | − | 13.3452i | −0.118097 | − | 0.489259i | |||||
0 | 0 | |||||||||
−5.52994 | + | 3.80396i | −0.202466 | + | 0.139273i | |||||
−24.7676 | + | 24.7676i | −0.906200 | + | 0.906200i | |||||
34.7755 | − | 15.5172i | 1.27152 | − | 0.567365i | |||||
−7.96035 | + | 7.96035i | −0.290865 | + | 0.290865i | |||||
0 | 0 | |||||||||
31.0189 | 1.13190 | 0.565948 | − | 0.824441i | ||||||
0.565948 | + | 0.824441i | ||||||||
−31.2878 | + | 34.8634i | −1.14095 | + | 1.27134i | |||||
− | 22.0910i | − | 0.805040i | |||||||
36.3807 | + | 6.72735i | 1.32491 | + | 0.244996i | |||||
0 | 0 | |||||||||
−5.77590 | + | 2.57727i | −0.210068 | + | 0.0937345i | |||||
−2.47389 | + | 2.47389i | −0.0899152 | + | 0.0899152i | −0.750634 | − | 0.660719i | ||
0.660719 | + | 0.750634i | ||||||||
−13.2059 | − | 19.1979i | −0.479662 | − | 0.697300i | |||||
− | 28.2634i | − | 1.02590i | |||||||
0 | 0 | |||||||||
− | 2.48375i | − | 0.0900358i | −0.998986 | − | 0.0450179i | ||||
0.998986 | − | 0.0450179i | ||||||||
−17.1433 | + | 11.7926i | −0.621037 | + | 0.427202i | |||||
19.9913 | − | 19.9913i | 0.723733 | − | 0.723733i | |||||
10.9415 | + | 4.18978i | 0.395851 | + | 0.151581i | |||||
0 | 0 | |||||||||
5.60701 | − | 30.3221i | 0.202590 | − | 1.09558i | |||||
19.1771i | 0.692444i | |||||||||
23.5944 | − | 29.3327i | 0.851388 | − | 1.05845i | |||||
−43.4690 | −1.56753 | −0.783767 | − | 0.621055i | ||||||
−0.783767 | + | 0.621055i | ||||||||
0 | 0 | |||||||||
12.0752 | − | 12.0752i | 0.434879 | − | 0.434879i | |||||
0.0172475 | − | 0.0450416i | 0.000620752 | − | 0.00162108i | |||||
−0.297026 | + | 0.297026i | −0.0106833 | + | 0.0106833i | −0.712428 | − | 0.701745i | ||
0.701745 | + | 0.712428i | ||||||||
−8.70881 | − | 12.6603i | −0.313032 | − | 0.455064i | |||||
0 | 0 | |||||||||
−20.6267 | + | 33.7527i | −0.740454 | + | 1.21165i | |||||
11.3529 | 0.407283 | |||||||||
13.4771 | + | 19.5920i | 0.483176 | + | 0.702409i | |||||
5.70363 | + | 5.70363i | 0.204354 | + | 0.204354i | |||||
0 | 0 | |||||||||
6.01231 | − | 6.01231i | 0.215137 | − | 0.215137i | |||||
8.64283 | − | 46.7394i | 0.309067 | − | 1.67140i | |||||
− | 6.56286i | − | 0.234537i | |||||||
4.09442 | + | 3.67450i | 0.146229 | + | 0.131232i | |||||
0 | 0 | |||||||||
23.8985 | + | 4.41920i | 0.852433 | + | 0.157628i | |||||
23.6931 | + | 23.6931i | 0.844567 | + | 0.844567i | 0.989449 | − | 0.144882i | ||
−0.144882 | + | 0.989449i | ||||||||
38.5081 | − | 17.1827i | 1.37179 | − | 0.612110i | |||||
−15.4293 | − | 15.4293i | −0.549299 | − | 0.549299i | |||||
0 | 0 | |||||||||
− | 10.1148i | − | 0.359641i | |||||||
−18.1863 | + | 4.38979i | −0.646221 | + | 0.155984i | |||||
−14.4742 | −0.513993 | |||||||||
10.4723 | + | 15.2240i | 0.371650 | + | 0.540279i | |||||
0 | 0 | |||||||||
9.76435 | − | 25.4994i | 0.346088 | − | 0.903804i | |||||
−38.2292 | − | 38.2292i | −1.35415 | − | 1.35415i | −0.880963 | − | 0.473186i | ||
−0.473186 | − | 0.880963i | ||||||||
−16.5503 | − | 3.06040i | −0.585874 | − | 0.108337i | |||||
85.4762 | 3.02393 | |||||||||
0 | 0 | |||||||||
−9.49801 | −0.335596 | |||||||||
−20.1287 | − | 3.72210i | −0.710768 | − | 0.131432i | |||||
−23.4041 | − | 23.4041i | −0.825913 | − | 0.825913i | |||||
−19.6163 | + | 51.2277i | −0.691814 | + | 1.80666i | |||||
0 | 0 | |||||||||
−7.20243 | − | 10.4704i | −0.253695 | − | 0.368804i | |||||
−44.6509 | −1.57179 | |||||||||
3.30588 | + | 13.6958i | 0.116300 | + | 0.481816i | |||||
− | 53.8310i | − | 1.89260i | −0.323296 | − | 0.946298i | ||||
0.323296 | − | 0.946298i | ||||||||
0 | 0 | |||||||||
27.0549 | + | 27.0549i | 0.950025 | + | 0.950025i | 0.998809 | − | 0.0487847i | ||
−0.0487847 | + | 0.998809i | ||||||||
−31.7454 | + | 14.1651i | −1.11404 | + | 0.497098i | |||||
−37.5986 | − | 37.5986i | −1.31864 | − | 1.31864i | |||||
−6.04870 | − | 1.11850i | −0.212007 | − | 0.0392033i | |||||
0 | 0 | |||||||||
−68.5892 | + | 3.70735i | −2.40110 | + | 0.129783i | |||||
7.49020i | 0.262049i | |||||||||
−2.45351 | + | 13.2683i | −0.0857851 | + | 0.463916i | |||||
22.6017 | − | 22.6017i | 0.789766 | − | 0.789766i | |||||
0 | 0 | |||||||||
−24.2170 | − | 24.2170i | −0.845180 | − | 0.845180i | 0.144347 | − | 0.989527i | ||
−0.989527 | + | 0.144347i | ||||||||
35.7175 | + | 51.9238i | 1.24579 | + | 1.81105i | |||||
41.3013 | 1.43967 | 0.719836 | − | 0.694144i | ||||||
0.719836 | + | 0.694144i | ||||||||
−0.362539 | − | 0.221552i | −0.0126296 | − | 0.00771812i | |||||
0 | 0 | |||||||||
−10.2119 | − | 14.8453i | −0.355317 | − | 0.516535i | |||||
15.7264 | − | 15.7264i | 0.546862 | − | 0.546862i | −0.378670 | − | 0.925532i | ||
0.925532 | + | 0.378670i | ||||||||
−8.35072 | + | 21.8078i | −0.290208 | + | 0.757873i | |||||
20.7323 | − | 20.7323i | 0.720061 | − | 0.720061i | −0.248556 | − | 0.968618i | ||
0.968618 | + | 0.248556i | ||||||||
0 | 0 | |||||||||
−53.9075 | −1.87003 | |||||||||
10.6869 | − | 33.1682i | 0.370503 | − | 1.14990i | |||||
− | 10.0385i | − | 0.347813i | |||||||
−2.38767 | + | 12.9123i | −0.0826784 | + | 0.447115i | |||||
0 | 0 | |||||||||
8.51629 | + | 3.26109i | 0.294542 | + | 0.112787i | |||||
−1.59404 | + | 1.59404i | −0.0550980 | + | 0.0550980i | |||||
−1.38030 | + | 0.949485i | −0.0476816 | + | 0.0327994i | |||||
− | 43.6919i | − | 1.50841i | −0.656638 | − | 0.754206i | ||||
0.656638 | − | 0.754206i | ||||||||
0 | 0 | |||||||||
− | 7.07060i | − | 0.243814i | |||||||
20.3664 | + | 29.6073i | 0.701872 | + | 1.02033i | |||||
−14.7200 | + | 14.7200i | −0.506983 | + | 0.506983i | |||||
−6.33090 | + | 2.82492i | −0.217919 | + | 0.0972377i | |||||
0 | 0 | |||||||||
−41.2936 | − | 7.63582i | −1.41970 | − | 0.262525i | |||||
− | 12.1396i | − | 0.417122i | |||||||
−15.4234 | + | 0.833659i | −0.529643 | + | 0.0286280i | |||||
−67.5654 | −2.31884 | |||||||||
0 | 0 | |||||||||
−5.42913 | + | 5.42913i | −0.186108 | + | 0.186108i | |||||
−14.0060 | + | 6.24965i | −0.479839 | + | 0.214109i | |||||
35.0610 | − | 35.0610i | 1.20046 | − | 1.20046i | 0.226439 | − | 0.974025i | ||
0.974025 | − | 0.226439i | ||||||||
11.2047 | − | 7.70756i | 0.383418 | − | 0.263747i | |||||
0 | 0 | |||||||||
−10.6953 | + | 2.58162i | −0.365558 | + | 0.0882381i | |||||
−45.3397 | −1.54878 | −0.774388 | − | 0.632711i | ||||||
−0.774388 | + | 0.632711i | ||||||||
−31.1509 | + | 21.4282i | −1.06347 | + | 0.731547i | |||||
−32.1229 | − | 32.1229i | −1.09602 | − | 1.09602i | −0.994871 | − | 0.101147i | ||
−0.101147 | − | 0.994871i | ||||||||
0 | 0 | |||||||||
22.2190 | − | 22.2190i | 0.757221 | − | 0.757221i | |||||
−5.36054 | − | 0.991245i | −0.182581 | − | 0.0337619i | |||||
36.9142i | 1.25657i | 0.777981 | + | 0.628287i | ||||||
−0.777981 | + | 0.628287i | ||||||||
−6.13022 | − | 0.794285i | −0.208554 | − | 0.0270221i | |||||
0 | 0 | |||||||||
6.57406 | − | 35.5517i | 0.223396 | − | 1.20810i | |||||
60.3441 | + | 60.3441i | 2.04939 | + | 2.04939i | |||||
11.1511 | + | 4.27002i | 0.378492 | + | 0.144934i | |||||
0.210075 | + | 0.210075i | 0.00712630 | + | 0.00712630i | |||||
0 | 0 | |||||||||
50.7793i | 1.72059i | |||||||||
26.8597 | − | 6.48338i | 0.909585 | − | 0.219555i | |||||
−35.4604 | −1.20015 | |||||||||
9.37813 | − | 6.45107i | 0.317220 | − | 0.218211i | |||||
0 | 0 | |||||||||
24.3280 | + | 54.5213i | 0.821967 | + | 1.84210i | |||||
15.7178 | + | 15.7178i | 0.530753 | + | 0.530753i | 0.920796 | − | 0.390044i | ||
−0.390044 | + | 0.920796i | ||||||||
−7.74821 | + | 41.9014i | −0.261490 | + | 1.41410i | |||||
−23.8548 | −0.804603 | |||||||||
0 | 0 | |||||||||
1.16748 | 0.0393335 | 0.0196667 | − | 0.999807i | ||||||
0.0196667 | + | 0.999807i | ||||||||
−0.896765 | + | 4.84960i | −0.0301956 | + | 0.163294i | |||||
32.2410 | + | 32.2410i | 1.08500 | + | 1.08500i | 0.996035 | + | 0.0889621i | ||
0.0889621 | + | 0.996035i | ||||||||
−58.0672 | + | 25.9102i | −1.95301 | + | 0.871455i | |||||
0 | 0 | |||||||||
−33.2235 | + | 22.8539i | −1.11616 | + | 0.767792i | |||||
−42.7282 | −1.43467 | −0.717336 | − | 0.696728i | ||||||
−0.717336 | + | 0.696728i | ||||||||
9.46766 | + | 5.78579i | 0.317714 | + | 0.194159i | |||||
− | 18.0980i | − | 0.606987i | |||||||
0 | 0 | |||||||||
18.7739 | + | 18.7739i | 0.628949 | + | 0.628949i | |||||
−9.97588 | + | 26.0518i | −0.334017 | + | 0.872280i | |||||
14.4741 | + | 14.4741i | 0.484356 | + | 0.484356i | |||||
1.37218 | − | 7.42058i | 0.0458925 | − | 0.248181i | |||||
0 | 0 | |||||||||
9.38928 | + | 31.3670i | 0.313674 | + | 1.04790i | |||||
47.1935i | 1.57574i | |||||||||
50.8732 | + | 9.40724i | 1.69766 | + | 0.313924i | |||||
−8.76109 | + | 8.76109i | −0.292199 | + | 0.292199i | |||||
0 | 0 | |||||||||
19.9291 | + | 19.9291i | 0.663935 | + | 0.663935i | |||||
−14.0270 | + | 9.64899i | −0.467050 | + | 0.321276i | |||||
29.1788 | 0.971008 | |||||||||
5.15482 | − | 8.43516i | 0.171447 | − | 0.280549i | |||||
0 | 0 | |||||||||
6.95632 | − | 4.78514i | 0.231108 | − | 0.158976i | |||||
1.23335 | − | 1.23335i | 0.0409528 | − | 0.0409528i | −0.686334 | − | 0.727287i | ||
0.727287 | + | 0.686334i | ||||||||
−5.11594 | − | 11.4653i | −0.169779 | − | 0.380489i | |||||
−8.93093 | + | 8.93093i | −0.296220 | + | 0.296220i | |||||
0 | 0 | |||||||||
23.9284 | 0.792785 | 0.396392 | − | 0.918081i | ||||||
0.396392 | + | 0.918081i | ||||||||
−12.2423 | − | 10.9867i | −0.405383 | − | 0.363807i | |||||
36.0371i | 1.19265i | |||||||||
−23.2710 | − | 4.30316i | −0.769735 | − | 0.142336i | |||||
0 | 0 | |||||||||
6.16689 | + | 13.8206i | 0.203760 | + | 0.456644i | |||||
−14.9473 | + | 14.9473i | −0.493605 | + | 0.493605i | |||||
6.39245 | + | 9.29291i | 0.210982 | + | 0.306712i | |||||
45.3844i | 1.49709i | 0.663082 | + | 0.748546i | ||||||
−0.663082 | + | 0.748546i | ||||||||
0 | 0 | |||||||||
− | 61.3253i | − | 2.02074i | |||||||
19.5060 | − | 13.4179i | 0.642395 | − | 0.441893i | |||||
−10.0392 | + | 10.0392i | −0.330444 | + | 0.330444i | |||||
12.7039 | − | 33.1760i | 0.417927 | − | 1.09141i | |||||
0 | 0 | |||||||||
8.29851 | − | 44.8774i | 0.272706 | − | 1.47476i | |||||
− | 0.380882i | − | 0.0125098i | |||||||
−33.6927 | − | 4.36553i | −1.10602 | − | 0.143305i | |||||
6.51036 | 0.213598 | 0.106799 | − | 0.994281i | ||||||
0.106799 | + | 0.994281i | ||||||||
0 | 0 | |||||||||
1.69986 | − | 1.69986i | 0.0557107 | − | 0.0557107i | |||||
22.2953 | + | 8.53741i | 0.730307 | + | 0.279652i | |||||
11.7947 | − | 11.7947i | 0.386142 | − | 0.386142i | |||||
−1.38926 | − | 2.01961i | −0.0454579 | − | 0.0660837i | |||||
0 | 0 | |||||||||
30.3670 | − | 7.32996i | 0.992575 | − | 0.239587i | |||||
−40.2986 | −1.31650 | −0.658248 | − | 0.752801i | ||||||
−0.658248 | + | 0.752801i | ||||||||
−27.0402 | − | 39.3092i | −0.882894 | − | 1.28349i | |||||
36.6799 | + | 36.6799i | 1.19700 | + | 1.19700i | |||||
0 | 0 | |||||||||
1.10649 | − | 1.10649i | 0.0360705 | − | 0.0360705i | −0.688841 | − | 0.724912i | ||
0.724912 | + | 0.688841i | ||||||||
−8.76198 | + | 47.3837i | −0.285481 | + | 1.54385i | |||||
21.2509i | 0.692025i | |||||||||
−0.950465 | − | 17.5844i | −0.0309350 | − | 0.572325i | |||||
0 | 0 | |||||||||
−15.5461 | − | 2.87471i | −0.505447 | − | 0.0934649i | |||||
8.83833 | + | 8.83833i | 0.287207 | + | 0.287207i | 0.835975 | − | 0.548768i | ||
−0.548768 | + | 0.835975i | ||||||||
−0.218368 | − | 0.489382i | −0.00709225 | − | 0.0158944i | |||||
39.0796 | + | 39.0796i | 1.26858 | + | 1.26858i | |||||
0 | 0 | |||||||||
− | 20.6185i | − | 0.668600i | |||||||
31.1536 | − | 50.9786i | 1.00969 | − | 1.65223i | |||||
−14.9610 | −0.484636 | −0.242318 | − | 0.970197i | ||||||
−0.242318 | + | 0.970197i | ||||||||
−7.84746 | − | 11.4081i | −0.254071 | − | 0.369351i | |||||
0 | 0 | |||||||||
31.3258 | + | 11.9954i | 1.01315 | + | 0.387959i | |||||
26.0654 | + | 26.0654i | 0.842576 | + | 0.842576i | |||||
−40.1059 | − | 7.41620i | −1.29576 | − | 0.239606i | |||||
−54.8152 | −1.77008 | |||||||||
0 | 0 | |||||||||
−26.7441 | −0.862712 | |||||||||
10.1000 | + | 1.86764i | 0.325636 | + | 0.0602150i | |||||
−6.97433 | − | 6.97433i | −0.224745 | − | 0.224745i | |||||
−41.1453 | − | 15.7555i | −1.32520 | − | 0.507452i | |||||
0 | 0 | |||||||||
−25.1307 | − | 36.5333i | −0.808568 | − | 1.17544i | |||||
−3.95287 | −0.127116 | −0.0635578 | − | 0.997978i | ||||||
−0.0635578 | + | 0.997978i | ||||||||
6.18672 | − | 10.1237i | 0.198849 | − | 0.325389i | |||||
30.0150i | 0.964221i | |||||||||
0 | 0 | |||||||||
−29.0538 | − | 29.0538i | −0.932380 | − | 0.932380i | 0.0654740 | − | 0.997854i | ||
−0.997854 | + | 0.0654740i | ||||||||
−16.8434 | − | 37.7475i | −0.540251 | − | 1.21075i | |||||
−8.07597 | − | 8.07597i | −0.258904 | − | 0.258904i | |||||
44.7323 | + | 8.27169i | 1.43332 | + | 0.265042i | |||||
0 | 0 | |||||||||
13.2721 | − | 0.717377i | 0.424830 | − | 0.0229627i | |||||
− | 25.8962i | − | 0.828494i | −0.910164 | − | 0.414247i | ||||
0.910164 | − | 0.414247i | ||||||||
6.86729 | − | 37.1375i | 0.219592 | − | 1.18753i | |||||
−6.90984 | + | 6.90984i | −0.220839 | + | 0.220839i | |||||
0 | 0 | |||||||||
17.5151 | + | 17.5151i | 0.559213 | + | 0.559213i | |||||
−6.16172 | − | 8.95749i | −0.196628 | − | 0.285845i | |||||
−22.0151 | −0.702173 | −0.351087 | − | 0.936343i | ||||||
−0.351087 | + | 0.936343i | ||||||||
29.8528 | − | 7.20585i | 0.951673 | − | 0.229714i | |||||
0 | 0 | |||||||||
35.1340 | + | 51.0754i | 1.11889 | + | 1.62657i | |||||
56.3850 | − | 56.3850i | 1.79476 | − | 1.79476i | |||||
−14.2203 | − | 5.44529i | −0.452407 | − | 0.173238i | |||||
−13.9537 | + | 13.9537i | −0.443702 | + | 0.443702i | |||||
0 | 0 | |||||||||
−54.3207 | −1.72556 | −0.862778 | − | 0.505583i | ||||||
−0.862778 | + | 0.505583i | ||||||||
7.12321 | + | 9.24388i | 0.226162 | + | 0.293493i | |||||
61.9461i | 1.96580i | |||||||||
2.42562 | − | 13.1174i | 0.0769359 | − | 0.416060i | |||||
0 | 0 | |||||||||
23.2454 | − | 60.7051i | 0.736560 | − | 1.92351i | |||||
8.14405 | − | 8.14405i | 0.257925 | − | 0.257925i | −0.566285 | − | 0.824210i | ||
0.824210 | + | 0.566285i | ||||||||
28.2236 | − | 19.4146i | 0.893402 | − | 0.614557i | |||||
− | 1.82197i | − | 0.0576446i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 400.2.q.h.149.7 | 16 | ||
4.3 | odd | 2 | 1600.2.q.g.49.7 | 16 | |||
5.2 | odd | 4 | 80.2.l.a.21.4 | ✓ | 16 | ||
5.3 | odd | 4 | 400.2.l.h.101.5 | 16 | |||
5.4 | even | 2 | 400.2.q.g.149.2 | 16 | |||
15.2 | even | 4 | 720.2.t.c.181.5 | 16 | |||
16.3 | odd | 4 | 1600.2.q.h.849.2 | 16 | |||
16.13 | even | 4 | 400.2.q.g.349.2 | 16 | |||
20.3 | even | 4 | 1600.2.l.i.1201.2 | 16 | |||
20.7 | even | 4 | 320.2.l.a.241.7 | 16 | |||
20.19 | odd | 2 | 1600.2.q.h.49.2 | 16 | |||
40.27 | even | 4 | 640.2.l.a.481.2 | 16 | |||
40.37 | odd | 4 | 640.2.l.b.481.7 | 16 | |||
60.47 | odd | 4 | 2880.2.t.c.2161.6 | 16 | |||
80.3 | even | 4 | 1600.2.l.i.401.2 | 16 | |||
80.13 | odd | 4 | 400.2.l.h.301.5 | 16 | |||
80.19 | odd | 4 | 1600.2.q.g.849.7 | 16 | |||
80.27 | even | 4 | 640.2.l.a.161.2 | 16 | |||
80.29 | even | 4 | inner | 400.2.q.h.349.7 | 16 | ||
80.37 | odd | 4 | 640.2.l.b.161.7 | 16 | |||
80.67 | even | 4 | 320.2.l.a.81.7 | 16 | |||
80.77 | odd | 4 | 80.2.l.a.61.4 | yes | 16 | ||
160.67 | even | 8 | 5120.2.a.t.1.8 | 8 | |||
160.77 | odd | 8 | 5120.2.a.s.1.8 | 8 | |||
160.147 | even | 8 | 5120.2.a.u.1.1 | 8 | |||
160.157 | odd | 8 | 5120.2.a.v.1.1 | 8 | |||
240.77 | even | 4 | 720.2.t.c.541.5 | 16 | |||
240.227 | odd | 4 | 2880.2.t.c.721.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.l.a.21.4 | ✓ | 16 | 5.2 | odd | 4 | ||
80.2.l.a.61.4 | yes | 16 | 80.77 | odd | 4 | ||
320.2.l.a.81.7 | 16 | 80.67 | even | 4 | |||
320.2.l.a.241.7 | 16 | 20.7 | even | 4 | |||
400.2.l.h.101.5 | 16 | 5.3 | odd | 4 | |||
400.2.l.h.301.5 | 16 | 80.13 | odd | 4 | |||
400.2.q.g.149.2 | 16 | 5.4 | even | 2 | |||
400.2.q.g.349.2 | 16 | 16.13 | even | 4 | |||
400.2.q.h.149.7 | 16 | 1.1 | even | 1 | trivial | ||
400.2.q.h.349.7 | 16 | 80.29 | even | 4 | inner | ||
640.2.l.a.161.2 | 16 | 80.27 | even | 4 | |||
640.2.l.a.481.2 | 16 | 40.27 | even | 4 | |||
640.2.l.b.161.7 | 16 | 80.37 | odd | 4 | |||
640.2.l.b.481.7 | 16 | 40.37 | odd | 4 | |||
720.2.t.c.181.5 | 16 | 15.2 | even | 4 | |||
720.2.t.c.541.5 | 16 | 240.77 | even | 4 | |||
1600.2.l.i.401.2 | 16 | 80.3 | even | 4 | |||
1600.2.l.i.1201.2 | 16 | 20.3 | even | 4 | |||
1600.2.q.g.49.7 | 16 | 4.3 | odd | 2 | |||
1600.2.q.g.849.7 | 16 | 80.19 | odd | 4 | |||
1600.2.q.h.49.2 | 16 | 20.19 | odd | 2 | |||
1600.2.q.h.849.2 | 16 | 16.3 | odd | 4 | |||
2880.2.t.c.721.7 | 16 | 240.227 | odd | 4 | |||
2880.2.t.c.2161.6 | 16 | 60.47 | odd | 4 | |||
5120.2.a.s.1.8 | 8 | 160.77 | odd | 8 | |||
5120.2.a.t.1.8 | 8 | 160.67 | even | 8 | |||
5120.2.a.u.1.1 | 8 | 160.147 | even | 8 | |||
5120.2.a.v.1.1 | 8 | 160.157 | odd | 8 |