Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(47,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 400.bi (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 223.1 | ||
Root | of defining polynomial | ||
Character | 400.223 | ||
Dual form | 400.2.bi.b.287.1 |
-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 .
0 | 0 | |||||||||
−0.648013 | − | 1.27180i | −0.374131 | − | 0.734273i | 0.624787 | − | 0.780795i | ||
−0.998917 | + | 0.0465230i | ||||||||
0 | 0 | |||||||||
0.166977 | − | 2.22982i | 0.0746746 | − | 0.997208i | |||||
0 | 0 | |||||||||
2.92911 | + | 2.92911i | 1.10710 | + | 1.10710i | 0.993530 | + | 0.113571i | ||
0.113571 | + | 0.993530i | ||||||||
0 | 0 | |||||||||
0.565808 | − | 0.778768i | 0.188603 | − | 0.259589i | |||||
0 | 0 | |||||||||
2.25687 | + | 3.10632i | 0.680473 | + | 0.936590i | 0.999939 | − | 0.0110072i | ||
−0.319467 | + | 0.947597i | ||||||||
0 | 0 | |||||||||
−0.645322 | − | 4.07440i | −0.178980 | − | 1.13004i | −0.899603 | − | 0.436708i | ||
0.720623 | − | 0.693327i | ||||||||
0 | 0 | |||||||||
−2.94409 | + | 1.23259i | −0.760160 | + | 0.318254i | |||||
0 | 0 | |||||||||
−0.260074 | − | 0.132514i | −0.0630771 | − | 0.0321394i | 0.422167 | − | 0.906518i | ||
−0.485245 | + | 0.874378i | ||||||||
0 | 0 | |||||||||
−2.41910 | − | 7.44523i | −0.554980 | − | 1.70805i | −0.695996 | − | 0.718046i | ||
0.141016 | − | 0.990007i | ||||||||
0 | 0 | |||||||||
1.82714 | − | 5.62334i | 0.398714 | − | 1.22711i | |||||
0 | 0 | |||||||||
0.240636 | − | 1.51932i | 0.0501761 | − | 0.316799i | −0.949816 | − | 0.312809i | ||
0.999992 | − | 0.00399005i | ||||||||
0 | 0 | |||||||||
−4.94424 | − | 0.744661i | −0.988847 | − | 0.148932i | |||||
0 | 0 | |||||||||
−5.58648 | − | 0.884812i | −1.07512 | − | 0.170282i | |||||
0 | 0 | |||||||||
5.30751 | + | 1.72451i | 0.985580 | + | 0.320234i | 0.757089 | − | 0.653312i | ||
0.228491 | + | 0.973546i | ||||||||
0 | 0 | |||||||||
1.44900 | − | 0.470809i | 0.260248 | − | 0.0845598i | −0.175987 | − | 0.984393i | ||
0.436235 | + | 0.899833i | ||||||||
0 | 0 | |||||||||
2.48812 | − | 4.88322i | 0.433127 | − | 0.850059i | |||||
0 | 0 | |||||||||
7.02051 | − | 6.04232i | 1.18668 | − | 1.02134i | |||||
0 | 0 | |||||||||
−2.98459 | + | 0.472712i | −0.490663 | + | 0.0777134i | −0.396863 | − | 0.917878i | ||
−0.0937997 | + | 0.995591i | ||||||||
0 | 0 | |||||||||
−4.76364 | + | 3.46098i | −0.762792 | + | 0.554201i | |||||
0 | 0 | |||||||||
5.49614 | + | 3.99318i | 0.858353 | + | 0.623630i | 0.927436 | − | 0.373981i | ||
−0.0690833 | + | 0.997611i | ||||||||
0 | 0 | |||||||||
−7.55900 | + | 7.55900i | −1.15274 | + | 1.15274i | −0.166736 | + | 0.986002i | ||
−0.986002 | + | 0.166736i | ||||||||
0 | 0 | |||||||||
−1.64204 | − | 1.39169i | −0.244781 | − | 0.207461i | |||||
0 | 0 | |||||||||
2.05781 | − | 1.04851i | 0.300163 | − | 0.152941i | −0.297423 | − | 0.954746i | ||
0.597585 | + | 0.801805i | ||||||||
0 | 0 | |||||||||
10.1594i | 1.45135i | |||||||||
0 | 0 | |||||||||
0.416632i | 0.0583401i | |||||||||
0 | 0 | |||||||||
7.08097 | − | 3.60793i | 0.972645 | − | 0.495588i | 0.105921 | − | 0.994375i | ||
0.866725 | + | 0.498787i | ||||||||
0 | 0 | |||||||||
7.30339 | − | 4.51375i | 0.984789 | − | 0.608633i | |||||
0 | 0 | |||||||||
−7.90122 | + | 7.90122i | −1.04654 | + | 1.04654i | |||||
0 | 0 | |||||||||
10.1729 | + | 7.39105i | 1.32440 | + | 0.962233i | 0.999866 | + | 0.0163593i | ||
0.324534 | + | 0.945874i | ||||||||
0 | 0 | |||||||||
5.63043 | − | 4.09075i | 0.720903 | − | 0.523766i | −0.165770 | − | 0.986164i | ||
0.886672 | + | 0.462398i | ||||||||
0 | 0 | |||||||||
3.93842 | − | 0.623784i | 0.496194 | − | 0.0785894i | |||||
0 | 0 | |||||||||
−9.19296 | + | 0.758621i | −1.14025 | + | 0.0940954i | |||||
0 | 0 | |||||||||
−4.04794 | + | 7.94452i | −0.494534 | + | 0.970578i | 0.499986 | + | 0.866033i | ||
−0.994520 | + | 0.104545i | ||||||||
0 | 0 | |||||||||
−2.08820 | + | 0.678497i | −0.251389 | + | 0.0816814i | |||||
0 | 0 | |||||||||
−6.63736 | − | 2.15661i | −0.787710 | − | 0.255942i | −0.112581 | − | 0.993643i | ||
−0.675129 | + | 0.737700i | ||||||||
0 | 0 | |||||||||
−14.8333 | − | 2.34937i | −1.73611 | − | 0.274973i | −0.793427 | − | 0.608665i | ||
−0.942682 | + | 0.333693i | ||||||||
0 | 0 | |||||||||
2.25687 | + | 6.77062i | 0.260601 | + | 0.781804i | |||||
0 | 0 | |||||||||
−2.48812 | + | 15.7094i | −0.283548 | + | 1.79025i | |||||
0 | 0 | |||||||||
0.815963 | − | 2.51127i | 0.0918030 | − | 0.282540i | −0.894604 | − | 0.446859i | ||
0.986407 | + | 0.164319i | ||||||||
0 | 0 | |||||||||
1.60242 | + | 4.93175i | 0.178047 | + | 0.547972i | |||||
0 | 0 | |||||||||
−2.28110 | − | 1.16228i | −0.250383 | − | 0.127577i | 0.324295 | − | 0.945956i | ||
−0.574679 | + | 0.818379i | ||||||||
0 | 0 | |||||||||
−0.338910 | + | 0.557791i | −0.0367599 | + | 0.0605010i | |||||
0 | 0 | |||||||||
−1.24610 | − | 7.86758i | −0.133596 | − | 0.843493i | |||||
0 | 0 | |||||||||
6.85369 | + | 9.43329i | 0.726490 | + | 0.999927i | 0.999283 | + | 0.0378546i | ||
−0.272794 | + | 0.962073i | ||||||||
0 | 0 | |||||||||
10.0442 | − | 13.8246i | 1.05291 | − | 1.44921i | |||||
0 | 0 | |||||||||
−1.53775 | − | 1.53775i | −0.159457 | − | 0.159457i | |||||
0 | 0 | |||||||||
−17.0055 | + | 4.15099i | −1.74473 | + | 0.425882i | |||||
0 | 0 | |||||||||
1.71702 | + | 3.36984i | 0.174337 | + | 0.342155i | 0.961597 | − | 0.274466i | ||
−0.787260 | + | 0.616621i | ||||||||
0 | 0 | |||||||||
3.69606 | 0.371468 | |||||||||
0 | 0 | |||||||||
11.8096 | 1.17510 | 0.587551 | − | 0.809187i | ||||||
0.587551 | + | 0.809187i | ||||||||
0 | 0 | |||||||||
2.75616 | + | 5.40928i | 0.271573 | + | 0.532992i | 0.986006 | − | 0.166712i | ||
−0.714433 | + | 0.699704i | ||||||||
0 | 0 | |||||||||
−12.2340 | − | 5.01316i | −1.19391 | − | 0.489235i | |||||
0 | 0 | |||||||||
−2.65974 | − | 2.65974i | −0.257127 | − | 0.257127i | 0.566758 | − | 0.823884i | ||
−0.823884 | + | 0.566758i | ||||||||
0 | 0 | |||||||||
−2.79215 | + | 3.84307i | −0.267440 | + | 0.368099i | −0.921523 | − | 0.388323i | ||
0.654084 | + | 0.756422i | ||||||||
0 | 0 | |||||||||
2.53525 | + | 3.48947i | 0.240635 | + | 0.331206i | |||||
0 | 0 | |||||||||
1.61719 | + | 10.2106i | 0.152133 | + | 0.960528i | 0.939128 | + | 0.343569i | ||
−0.786995 | + | 0.616960i | ||||||||
0 | 0 | |||||||||
−3.34763 | − | 0.790268i | −0.312168 | − | 0.0736929i | |||||
0 | 0 | |||||||||
−3.53814 | − | 1.80277i | −0.327101 | − | 0.166666i | |||||
0 | 0 | |||||||||
−0.373636 | − | 1.14993i | −0.0342512 | − | 0.105414i | |||||
0 | 0 | |||||||||
−1.15655 | + | 3.55951i | −0.105141 | + | 0.323592i | |||||
0 | 0 | |||||||||
1.51694 | − | 9.57761i | 0.136778 | − | 0.863584i | |||||
0 | 0 | |||||||||
−2.48604 | + | 10.9004i | −0.222358 | + | 0.974965i | |||||
0 | 0 | |||||||||
9.12441 | + | 1.44516i | 0.809660 | + | 0.128238i | 0.547520 | − | 0.836792i | ||
0.262140 | + | 0.965030i | ||||||||
0 | 0 | |||||||||
14.5119 | + | 4.71519i | 1.27770 | + | 0.415149i | |||||
0 | 0 | |||||||||
−20.0702 | + | 6.52122i | −1.75355 | + | 0.569761i | −0.996499 | − | 0.0836006i | ||
−0.757046 | + | 0.653362i | ||||||||
0 | 0 | |||||||||
14.7221 | − | 28.8938i | 1.27657 | − | 2.50541i | |||||
0 | 0 | |||||||||
−2.90579 | + | 12.3091i | −0.250091 | + | 1.05940i | |||||
0 | 0 | |||||||||
−7.25033 | + | 1.14834i | −0.619437 | + | 0.0981092i | −0.458263 | − | 0.888817i | ||
−0.161174 | + | 0.986926i | ||||||||
0 | 0 | |||||||||
−8.32767 | + | 6.05041i | −0.706344 | + | 0.513189i | −0.881992 | − | 0.471264i | ||
0.175648 | + | 0.984453i | ||||||||
0 | 0 | |||||||||
−2.66698 | − | 1.93767i | −0.224600 | − | 0.163181i | |||||
0 | 0 | |||||||||
11.2000 | − | 11.2000i | 0.936589 | − | 0.936589i | |||||
0 | 0 | |||||||||
4.73160 | − | 11.5469i | 0.392938 | − | 0.958914i | |||||
0 | 0 | |||||||||
12.9207 | − | 6.58344i | 1.06568 | − | 0.542993i | |||||
0 | 0 | |||||||||
11.8576i | 0.971416i | 0.874121 | + | 0.485708i | ||||||
−0.874121 | + | 0.485708i | ||||||||
0 | 0 | |||||||||
13.0162i | 1.05925i | 0.848233 | + | 0.529624i | ||||||
−0.848233 | + | 0.529624i | ||||||||
0 | 0 | |||||||||
−0.250349 | + | 0.127559i | −0.0202396 | + | 0.0103126i | |||||
0 | 0 | |||||||||
−0.807871 | − | 3.30963i | −0.0648898 | − | 0.265836i | |||||
0 | 0 | |||||||||
−2.52932 | + | 2.52932i | −0.201861 | + | 0.201861i | −0.800797 | − | 0.598936i | ||
0.598936 | + | 0.800797i | ||||||||
0 | 0 | |||||||||
−9.17712 | − | 6.66757i | −0.727793 | − | 0.528772i | |||||
0 | 0 | |||||||||
5.15510 | − | 3.74540i | 0.406279 | − | 0.295179i | |||||
0 | 0 | |||||||||
14.3738 | − | 2.27659i | 1.12584 | − | 0.178316i | 0.434382 | − | 0.900729i | ||
0.691463 | + | 0.722412i | ||||||||
0 | 0 | |||||||||
−10.4733 | − | 6.36347i | −0.815342 | − | 0.495395i | |||||
0 | 0 | |||||||||
3.25120 | − | 6.38084i | 0.251586 | − | 0.493765i | −0.730327 | − | 0.683097i | ||
0.981913 | + | 0.189333i | ||||||||
0 | 0 | |||||||||
−3.82057 | + | 1.24138i | −0.293890 | + | 0.0954907i | |||||
0 | 0 | |||||||||
−7.16686 | − | 2.32865i | −0.548063 | − | 0.178077i | |||||
0 | 0 | |||||||||
−7.30401 | − | 1.15684i | −0.555313 | − | 0.0879530i | −0.127531 | − | 0.991835i | ||
−0.427783 | + | 0.903882i | ||||||||
0 | 0 | |||||||||
−12.3010 | − | 16.6634i | −0.929871 | − | 1.25964i | |||||
0 | 0 | |||||||||
2.80774 | − | 17.7274i | 0.211043 | − | 1.33247i | |||||
0 | 0 | |||||||||
−1.32026 | + | 4.06333i | −0.0986805 | + | 0.303707i | −0.988195 | − | 0.153199i | ||
0.889515 | + | 0.456906i | ||||||||
0 | 0 | |||||||||
−5.03463 | − | 15.4950i | −0.374221 | − | 1.15173i | −0.944003 | − | 0.329938i | ||
0.569782 | − | 0.821796i | ||||||||
0 | 0 | |||||||||
−8.85119 | − | 4.50991i | −0.654299 | − | 0.333382i | |||||
0 | 0 | |||||||||
0.555707 | + | 6.73404i | 0.0408564 | + | 0.495096i | |||||
0 | 0 | |||||||||
−0.175322 | − | 1.10694i | −0.0128208 | − | 0.0809474i | |||||
0 | 0 | |||||||||
−13.7717 | − | 18.9552i | −1.00175 | − | 1.37878i | |||||
0 | 0 | |||||||||
−0.396240 | + | 0.545378i | −0.0286709 | + | 0.0394622i | −0.823112 | − | 0.567879i | ||
0.794441 | + | 0.607341i | ||||||||
0 | 0 | |||||||||
−1.94252 | − | 1.94252i | −0.139826 | − | 0.139826i | 0.633729 | − | 0.773555i | ||
−0.773555 | + | 0.633729i | ||||||||
0 | 0 | |||||||||
6.92197 | + | 11.2000i | 0.495692 | + | 0.802047i | |||||
0 | 0 | |||||||||
3.35301 | + | 6.58064i | 0.238892 | + | 0.468852i | 0.979060 | − | 0.203570i | ||
−0.740169 | + | 0.672421i | ||||||||
0 | 0 | |||||||||
5.25484 | 0.372505 | 0.186253 | − | 0.982502i | ||||||
0.186253 | + | 0.982502i | ||||||||
0 | 0 | |||||||||
12.7269 | 0.897689 | |||||||||
0 | 0 | |||||||||
10.4950 | + | 20.5976i | 0.736605 | + | 1.44567i | |||||
0 | 0 | |||||||||
9.82182 | − | 11.5887i | 0.685986 | − | 0.809387i | |||||
0 | 0 | |||||||||
−1.04704 | − | 1.04704i | −0.0727744 | − | 0.0727744i | |||||
0 | 0 | |||||||||
17.6677 | − | 24.3174i | 1.22210 | − | 1.68207i | |||||
0 | 0 | |||||||||
4.76815 | + | 6.56279i | 0.328253 | + | 0.451801i | 0.940964 | − | 0.338505i | ||
−0.612712 | + | 0.790307i | ||||||||
0 | 0 | |||||||||
1.55833 | + | 9.83889i | 0.106775 | + | 0.674149i | |||||
0 | 0 | |||||||||
15.5931 | + | 18.1174i | 1.06344 | + | 1.23560i | |||||
0 | 0 | |||||||||
5.62334 | + | 2.86524i | 0.381738 | + | 0.194505i | |||||
0 | 0 | |||||||||
6.62427 | + | 20.3874i | 0.447627 | + | 1.37765i | |||||
0 | 0 | |||||||||
−0.372084 | + | 1.14516i | −0.0250291 | + | 0.0770317i | |||||
0 | 0 | |||||||||
−0.586047 | + | 3.70015i | −0.0392446 | + | 0.247781i | −0.999510 | − | 0.0313086i | ||
0.960265 | + | 0.279089i | ||||||||
0 | 0 | |||||||||
−3.37741 | + | 3.42908i | −0.225161 | + | 0.228605i | |||||
0 | 0 | |||||||||
−9.19209 | − | 1.45588i | −0.610101 | − | 0.0966304i | −0.156264 | − | 0.987715i | ||
−0.453837 | + | 0.891085i | ||||||||
0 | 0 | |||||||||
5.57028 | + | 1.80989i | 0.368094 | + | 0.119601i | 0.487223 | − | 0.873278i | ||
−0.119128 | + | 0.992879i | ||||||||
0 | 0 | |||||||||
21.5915 | − | 7.01551i | 1.42062 | − | 0.461587i | |||||
0 | 0 | |||||||||
3.76580 | − | 7.39079i | 0.246706 | − | 0.484187i | −0.734134 | − | 0.679005i | ||
0.980839 | + | 0.194818i | ||||||||
0 | 0 | |||||||||
−1.99438 | − | 4.76364i | −0.130099 | − | 0.310745i | |||||
0 | 0 | |||||||||
−3.72259 | + | 0.589600i | −0.241808 | + | 0.0382986i | |||||
0 | 0 | |||||||||
20.0914 | − | 14.5973i | 1.29961 | − | 0.944219i | 0.299654 | − | 0.954048i | ||
0.999952 | + | 0.00982862i | ||||||||
0 | 0 | |||||||||
−5.83422 | − | 4.23881i | −0.375815 | − | 0.273046i | 0.383803 | − | 0.923415i | ||
−0.759618 | + | 0.650369i | ||||||||
0 | 0 | |||||||||
−6.76464 | + | 6.76464i | −0.433952 | + | 0.433952i | |||||
0 | 0 | |||||||||
22.6537 | + | 1.69639i | 1.44729 | + | 0.108379i | |||||
0 | 0 | |||||||||
−28.7738 | + | 14.6610i | −1.83083 | + | 0.932855i | |||||
0 | 0 | |||||||||
3.65427i | 0.231580i | |||||||||
0 | 0 | |||||||||
− | 29.3481i | − | 1.85244i | −0.376988 | − | 0.926218i | ||||
0.376988 | − | 0.926218i | ||||||||
0 | 0 | |||||||||
5.26257 | − | 2.68141i | 0.330855 | − | 0.168579i | |||||
0 | 0 | |||||||||
0.929016 | + | 0.0695681i | 0.0581772 | + | 0.00435652i | |||||
0 | 0 | |||||||||
16.1302 | − | 16.1302i | 1.00617 | − | 1.00617i | 0.00619398 | − | 0.999981i | ||
0.999981 | − | 0.00619398i | ||||||||
0 | 0 | |||||||||
−10.1268 | − | 7.35757i | −0.629250 | − | 0.457177i | |||||
0 | 0 | |||||||||
4.34603 | − | 3.15757i | 0.269012 | − | 0.195449i | |||||
0 | 0 | |||||||||
−21.4105 | + | 3.39109i | −1.32023 | + | 0.209103i | −0.776478 | − | 0.630145i | ||
−0.543749 | + | 0.839248i | ||||||||
0 | 0 | |||||||||
−6.86269 | − | 16.3918i | −0.421572 | − | 1.00694i | |||||
0 | 0 | |||||||||
7.55596 | − | 14.8294i | 0.462417 | − | 0.907545i | |||||
0 | 0 | |||||||||
−28.4092 | + | 9.23070i | −1.73214 | + | 0.562806i | −0.993756 | − | 0.111577i | ||
−0.738382 | + | 0.674382i | ||||||||
0 | 0 | |||||||||
−16.2853 | − | 5.29141i | −0.989261 | − | 0.321430i | −0.230694 | − | 0.973026i | ||
−0.758566 | + | 0.651596i | ||||||||
0 | 0 | |||||||||
−24.0909 | − | 3.81562i | −1.45804 | − | 0.230932i | |||||
0 | 0 | |||||||||
−8.84536 | − | 17.0390i | −0.533395 | − | 1.02749i | |||||
0 | 0 | |||||||||
−1.85546 | + | 11.7149i | −0.111484 | + | 0.703882i | 0.867115 | + | 0.498107i | ||
−0.978599 | + | 0.205775i | ||||||||
0 | 0 | |||||||||
0.453206 | − | 1.39482i | 0.0271327 | − | 0.0835059i | |||||
0 | 0 | |||||||||
5.76571 | + | 17.7450i | 0.343953 | + | 1.05858i | 0.962142 | + | 0.272549i | ||
−0.618189 | + | 0.786030i | ||||||||
0 | 0 | |||||||||
−14.0251 | − | 7.14616i | −0.833708 | − | 0.424795i | −0.0156126 | − | 0.999878i | ||
−0.818095 | + | 0.575083i | ||||||||
0 | 0 | |||||||||
16.2990 | + | 18.9377i | 0.965469 | + | 1.12177i | |||||
0 | 0 | |||||||||
4.40234 | + | 27.7953i | 0.259862 | + | 1.64071i | |||||
0 | 0 | |||||||||
−9.94227 | − | 13.6844i | −0.584839 | − | 0.804962i | |||||
0 | 0 | |||||||||
3.17310 | − | 4.36740i | 0.186010 | − | 0.256021i | |||||
0 | 0 | |||||||||
23.5937 | + | 23.5937i | 1.37836 | + | 1.37836i | 0.847398 | + | 0.530959i | ||
0.530959 | + | 0.847398i | ||||||||
0 | 0 | |||||||||
18.1794 | − | 21.4497i | 1.05845 | − | 1.24885i | |||||
0 | 0 | |||||||||
−9.85947 | − | 19.3503i | −0.572104 | − | 1.12282i | |||||
0 | 0 | |||||||||
−6.34559 | −0.366975 | |||||||||
0 | 0 | |||||||||
−44.2824 | −2.55239 | |||||||||
0 | 0 | |||||||||
−7.65280 | − | 15.0195i | −0.439642 | − | 0.862846i | |||||
0 | 0 | |||||||||
−8.18149 | − | 13.2379i | −0.468471 | − | 0.758002i | |||||
0 | 0 | |||||||||
−0.100680 | − | 0.100680i | −0.00574611 | − | 0.00574611i | 0.704228 | − | 0.709974i | ||
−0.709974 | + | 0.704228i | ||||||||
0 | 0 | |||||||||
5.09347 | − | 7.01057i | 0.289758 | − | 0.398817i | |||||
0 | 0 | |||||||||
6.25063 | + | 8.60326i | 0.354441 | + | 0.487846i | 0.948589 | − | 0.316509i | ||
−0.594149 | + | 0.804355i | ||||||||
0 | 0 | |||||||||
3.65646 | + | 23.0860i | 0.206676 | + | 1.30490i | 0.844849 | + | 0.535005i | ||
−0.638173 | + | 0.769893i | ||||||||
0 | 0 | |||||||||
−0.733302 | − | 8.88614i | −0.0413169 | − | 0.500677i | |||||
0 | 0 | |||||||||
−8.59220 | − | 4.37794i | −0.482586 | − | 0.245890i | 0.195733 | − | 0.980657i | ||
−0.678319 | + | 0.734767i | ||||||||
0 | 0 | |||||||||
6.62148 | + | 20.3788i | 0.370732 | + | 1.14099i | |||||
0 | 0 | |||||||||
−1.65910 | + | 5.10619i | −0.0926021 | + | 0.285000i | |||||
0 | 0 | |||||||||
−0.357453 | + | 2.25687i | −0.0198892 | + | 0.125576i | |||||
0 | 0 | |||||||||
0.156576 | + | 20.6254i | 0.00868527 | + | 1.14409i | |||||
0 | 0 | |||||||||
6.69695 | + | 1.06069i | 0.370342 | + | 0.0586565i | |||||
0 | 0 | |||||||||
9.09876 | + | 2.95637i | 0.501631 | + | 0.162990i | |||||
0 | 0 | |||||||||
−9.37813 | + | 3.04714i | −0.515469 | + | 0.167486i | −0.555188 | − | 0.831725i | ||
0.0397191 | + | 0.999211i | ||||||||
0 | 0 | |||||||||
−1.32057 | + | 2.59177i | −0.0723668 | + | 0.142028i | |||||
0 | 0 | |||||||||
17.0390 | + | 10.3527i | 0.930939 | + | 0.565631i | |||||
0 | 0 | |||||||||
32.0835 | − | 5.08152i | 1.74770 | − | 0.276808i | 0.800937 | − | 0.598748i | ||
0.946760 | + | 0.321940i | ||||||||
0 | 0 | |||||||||
11.9378 | − | 8.67331i | 0.648372 | − | 0.471070i | |||||
0 | 0 | |||||||||
4.73269 | + | 3.43850i | 0.256290 | + | 0.186205i | |||||
0 | 0 | |||||||||
−9.25432 | + | 9.25432i | −0.499686 | + | 0.499686i | |||||
0 | 0 | |||||||||
1.16425 | + | 4.76961i | 0.0626809 | + | 0.256787i | |||||
0 | 0 | |||||||||
−10.8276 | + | 5.51691i | −0.581253 | + | 0.296163i | −0.719788 | − | 0.694194i | ||
0.138534 | + | 0.990358i | ||||||||
0 | 0 | |||||||||
13.9855i | 0.748629i | 0.927302 | + | 0.374314i | ||||||
−0.927302 | + | 0.374314i | ||||||||
0 | 0 | |||||||||
23.3326i | 1.24540i | |||||||||
0 | 0 | |||||||||
−10.8959 | + | 5.55174i | −0.579930 | + | 0.295489i | −0.719242 | − | 0.694759i | ||
0.139312 | + | 0.990249i | ||||||||
0 | 0 | |||||||||
−5.91715 | + | 14.4400i | −0.314050 | + | 0.766398i | |||||
0 | 0 | |||||||||
−1.22036 | + | 1.22036i | −0.0645884 | + | 0.0645884i | |||||
0 | 0 | |||||||||
−16.3725 | − | 11.8953i | −0.864105 | − | 0.627809i | 0.0648934 | − | 0.997892i | ||
−0.928999 | + | 0.370083i | ||||||||
0 | 0 | |||||||||
−34.2081 | + | 24.8536i | −1.80043 | + | 1.30809i | |||||
0 | 0 | |||||||||
5.27644 | − | 0.835705i | 0.276941 | − | 0.0438632i | |||||
0 | 0 | |||||||||
−7.71551 | + | 32.6834i | −0.403848 | + | 1.71073i | |||||
0 | 0 | |||||||||
4.25004 | − | 8.34118i | 0.221850 | − | 0.435406i | −0.753076 | − | 0.657934i | ||
0.974926 | + | 0.222528i | ||||||||
0 | 0 | |||||||||
6.21952 | − | 2.02085i | 0.323776 | − | 0.105201i | |||||
0 | 0 | |||||||||
31.3090 | + | 10.1729i | 1.62548 | + | 0.528151i | |||||
0 | 0 | |||||||||
−32.0548 | − | 5.07698i | −1.65974 | − | 0.262876i | −0.745040 | − | 0.667020i | ||
−0.914696 | + | 0.404143i | ||||||||
0 | 0 | |||||||||
15.4741 | − | 3.90189i | 0.799081 | − | 0.201493i | |||||
0 | 0 | |||||||||
3.60131 | − | 22.7378i | 0.185477 | − | 1.17106i | |||||
0 | 0 | |||||||||
3.21609 | − | 9.89812i | 0.165200 | − | 0.508432i | −0.833851 | − | 0.551989i | ||
0.999051 | + | 0.0435569i | ||||||||
0 | 0 | |||||||||
−4.07478 | − | 12.5409i | −0.208757 | − | 0.642489i | |||||
0 | 0 | |||||||||
26.0530 | + | 13.2746i | 1.33124 | + | 0.678303i | 0.967423 | − | 0.253166i | ||
0.363821 | + | 0.931469i | ||||||||
0 | 0 | |||||||||
34.6138 | + | 8.17120i | 1.76408 | + | 0.416443i | |||||
0 | 0 | |||||||||
1.60977 | + | 10.1637i | 0.0818290 | + | 0.516648i | |||||
0 | 0 | |||||||||
−15.6435 | − | 21.5314i | −0.793155 | − | 1.09168i | −0.993708 | − | 0.112002i | ||
0.200553 | − | 0.979683i | ||||||||
0 | 0 | |||||||||
−0.263914 | + | 0.363246i | −0.0133467 | + | 0.0183702i | |||||
0 | 0 | |||||||||
21.2994 | + | 21.2994i | 1.07441 | + | 1.07441i | |||||
0 | 0 | |||||||||
−5.46345 | − | 2.23878i | −0.274896 | − | 0.112645i | |||||
0 | 0 | |||||||||
10.2475 | + | 20.1119i | 0.514308 | + | 1.00939i | 0.991441 | + | 0.130556i | ||
−0.477133 | + | 0.878831i | ||||||||
0 | 0 | |||||||||
−46.2871 | −2.31725 | |||||||||
0 | 0 | |||||||||
−6.67802 | −0.333484 | −0.166742 | − | 0.986001i | ||||||
−0.166742 | + | 0.986001i | ||||||||
0 | 0 | |||||||||
−2.85334 | − | 5.59999i | −0.142135 | − | 0.278955i | |||||
0 | 0 | |||||||||
11.2645 | − | 2.74963i | 0.559738 | − | 0.136630i | |||||
0 | 0 | |||||||||
−8.20423 | − | 8.20423i | −0.406669 | − | 0.406669i | |||||
0 | 0 | |||||||||
−2.62566 | + | 3.61391i | −0.129831 | + | 0.178696i | −0.868983 | − | 0.494841i | ||
0.739153 | + | 0.673538i | ||||||||
0 | 0 | |||||||||
6.15876 | + | 8.47681i | 0.303789 | + | 0.418130i | |||||
0 | 0 | |||||||||
8.14838 | + | 51.4469i | 0.400956 | + | 2.53154i | |||||
0 | 0 | |||||||||
−2.97257 | + | 4.89238i | −0.145918 | + | 0.240158i | |||||
0 | 0 | |||||||||
13.0913 | + | 6.67037i | 0.641085 | + | 0.326649i | |||||
0 | 0 | |||||||||
−10.9171 | − | 33.5994i | −0.533335 | − | 1.64144i | −0.747219 | − | 0.664577i | ||
0.213885 | − | 0.976859i | ||||||||
0 | 0 | |||||||||
−2.30880 | + | 7.10575i | −0.112524 | + | 0.346313i | −0.991423 | − | 0.130696i | ||
0.878899 | + | 0.477009i | ||||||||
0 | 0 | |||||||||
0.347782 | − | 2.19581i | 0.0169098 | − | 0.106764i | |||||
0 | 0 | |||||||||
1.18719 | + | 0.848848i | 0.0575870 | + | 0.0411752i | |||||
0 | 0 | |||||||||
28.4744 | + | 4.50991i | 1.37797 | + | 0.218250i | |||||
0 | 0 | |||||||||
−21.5018 | − | 6.98637i | −1.03812 | − | 0.337305i | |||||
0 | 0 | |||||||||
1.66992 | − | 0.542590i | 0.0804372 | − | 0.0261356i | −0.268522 | − | 0.963274i | ||
0.348959 | + | 0.937138i | ||||||||
0 | 0 | |||||||||
1.36660 | − | 2.68210i | 0.0656745 | − | 0.128894i | −0.855835 | − | 0.517248i | ||
0.921510 | + | 0.388355i | ||||||||
0 | 0 | |||||||||
−17.7514 | + | 1.46488i | −0.851115 | + | 0.0702357i | |||||
0 | 0 | |||||||||
−11.8938 | + | 1.88379i | −0.568957 | + | 0.0901139i | |||||
0 | 0 | |||||||||
20.5365 | − | 14.9207i | 0.980156 | − | 0.712125i | 0.0224121 | − | 0.999749i | ||
0.957743 | + | 0.287624i | ||||||||
0 | 0 | |||||||||
7.91184 | + | 5.74829i | 0.376754 | + | 0.273728i | |||||
0 | 0 | |||||||||
6.77536 | − | 6.77536i | 0.321907 | − | 0.321907i | −0.527591 | − | 0.849498i | ||
0.849498 | + | 0.527591i | ||||||||
0 | 0 | |||||||||
22.1790 | − | 13.7074i | 1.05139 | − | 0.649792i | |||||
0 | 0 | |||||||||
15.0805 | − | 7.68391i | 0.713284 | − | 0.363437i | |||||
0 | 0 | |||||||||
− | 20.3687i | − | 0.961260i | −0.876924 | − | 0.480630i | ||||
0.876924 | − | 0.480630i | ||||||||
0 | 0 | |||||||||
26.0849i | 1.22829i | |||||||||
0 | 0 | |||||||||
16.5540 | − | 8.43470i | 0.777776 | − | 0.396297i | |||||
0 | 0 | |||||||||
−29.1493 | − | 24.7051i | −1.36654 | − | 1.15819i | |||||
0 | 0 | |||||||||
5.54512 | − | 5.54512i | 0.259390 | − | 0.259390i | −0.565416 | − | 0.824806i | ||
0.824806 | + | 0.565416i | ||||||||
0 | 0 | |||||||||
1.33565 | + | 0.970403i | 0.0623426 | + | 0.0452946i | |||||
0 | 0 | |||||||||
−10.0726 | + | 7.31820i | −0.469130 | + | 0.340843i | −0.797102 | − | 0.603845i | ||
0.327972 | + | 0.944687i | ||||||||
0 | 0 | |||||||||
14.8396 | − | 2.35037i | 0.689656 | − | 0.109231i | 0.198237 | − | 0.980154i | ||
0.491419 | + | 0.870923i | ||||||||
0 | 0 | |||||||||
−3.68567 | + | 3.17213i | −0.170919 | + | 0.147104i | |||||
0 | 0 | |||||||||
−12.4383 | + | 24.4115i | −0.575576 | + | 1.12963i | 0.401325 | + | 0.915936i | ||
−0.976900 | + | 0.213695i | ||||||||
0 | 0 | |||||||||
−35.1273 | + | 11.4135i | −1.62203 | + | 0.527029i | |||||
0 | 0 | |||||||||
4.85581 | + | 1.57775i | 0.223744 | + | 0.0726988i | |||||
0 | 0 | |||||||||
−40.5404 | − | 6.42097i | −1.86405 | − | 0.295236i | |||||
0 | 0 | |||||||||
6.41644 | + | 38.6124i | 0.294407 | + | 1.77166i | |||||
0 | 0 | |||||||||
1.19673 | − | 7.55583i | 0.0547943 | − | 0.345958i | |||||
0 | 0 | |||||||||
−7.53740 | + | 23.1977i | −0.344393 | + | 1.05993i | 0.617515 | + | 0.786559i | ||
−0.961908 | + | 0.273373i | ||||||||
0 | 0 | |||||||||
3.85204 | + | 11.8554i | 0.175638 | + | 0.540558i | |||||
0 | 0 | |||||||||
−8.10396 | − | 4.12918i | −0.368743 | − | 0.187884i | |||||
0 | 0 | |||||||||
7.80085 | − | 3.26596i | 0.354218 | − | 0.148300i | |||||
0 | 0 | |||||||||
−2.80650 | − | 17.7196i | −0.127175 | − | 0.802950i | −0.965999 | − | 0.258547i | ||
0.838824 | − | 0.544403i | ||||||||
0 | 0 | |||||||||
−12.2098 | − | 16.8053i | −0.552146 | − | 0.759963i | |||||
0 | 0 | |||||||||
−16.3602 | + | 22.5178i | −0.738324 | + | 1.01622i | 0.260390 | + | 0.965504i | ||
−0.998713 | + | 0.0507117i | ||||||||
0 | 0 | |||||||||
−1.15182 | − | 1.15182i | −0.0518754 | − | 0.0518754i | |||||
0 | 0 | |||||||||
0.617159 | − | 8.24156i | 0.0277392 | − | 0.370431i | |||||
0 | 0 | |||||||||
−13.1246 | − | 25.7585i | −0.588720 | − | 1.15543i | |||||
0 | 0 | |||||||||
27.2018 | 1.21772 | 0.608860 | − | 0.793278i | ||||||
0.608860 | + | 0.793278i | ||||||||
0 | 0 | |||||||||
−10.2220 | −0.456684 | |||||||||
0 | 0 | |||||||||
−14.0273 | − | 27.5300i | −0.625444 | − | 1.22750i | −0.958633 | − | 0.284643i | ||
0.333189 | − | 0.942860i | ||||||||
0 | 0 | |||||||||
1.97194 | − | 26.3334i | 0.0877503 | − | 1.17182i | |||||
0 | 0 | |||||||||
4.05456 | + | 4.05456i | 0.180069 | + | 0.180069i | |||||
0 | 0 | |||||||||
19.5761 | − | 26.9441i | 0.867693 | − | 1.19428i | −0.111987 | − | 0.993710i | ||
0.979680 | − | 0.200568i | ||||||||
0 | 0 | |||||||||
−36.5669 | − | 50.3301i | −1.61763 | − | 2.22647i | |||||
0 | 0 | |||||||||
6.92664 | + | 43.7331i | 0.305819 | + | 1.93086i | |||||
0 | 0 | |||||||||
12.5220 | − | 5.24254i | 0.551783 | − | 0.231014i | |||||
0 | 0 | |||||||||
7.90122 | + | 4.02587i | 0.347495 | + | 0.177058i | |||||
0 | 0 | |||||||||
3.26182 | + | 10.0389i | 0.143178 | + | 0.440657i | |||||
0 | 0 | |||||||||
5.65254 | − | 17.3967i | 0.247642 | − | 0.762164i | −0.747548 | − | 0.664207i | ||
0.995191 | − | 0.0979570i | ||||||||
0 | 0 | |||||||||
2.44996 | − | 15.4684i | 0.107129 | − | 0.676387i | −0.874419 | − | 0.485172i | ||
0.981548 | − | 0.191215i | ||||||||
0 | 0 | |||||||||
−13.2213 | + | 26.4426i | −0.577024 | + | 1.15405i | |||||
0 | 0 | |||||||||
−0.439236 | − | 0.0695681i | −0.0191334 | − | 0.00303043i | |||||
0 | 0 | |||||||||
19.6239 | + | 6.37619i | 0.853212 | + | 0.277225i | |||||
0 | 0 | |||||||||
11.5118 | − | 3.74042i | 0.499571 | − | 0.162321i | |||||
0 | 0 | |||||||||
12.7230 | − | 24.9704i | 0.551096 | − | 1.08159i | |||||
0 | 0 | |||||||||
−6.37487 | + | 5.48663i | −0.275610 | + | 0.237208i | |||||
0 | 0 | |||||||||
6.02327 | − | 0.953993i | 0.259923 | − | 0.0411678i | |||||
0 | 0 | |||||||||
−31.5584 | + | 22.9285i | −1.35932 | + | 0.987602i | |||||
0 | 0 | |||||||||
−27.1227 | − | 19.7058i | −1.16610 | − | 0.847220i | −0.175561 | − | 0.984468i | ||
−0.990537 | + | 0.137249i | ||||||||
0 | 0 | |||||||||
−16.4440 | + | 16.4440i | −0.705679 | + | 0.705679i | |||||
0 | 0 | |||||||||
8.10314 | + | 6.86772i | 0.347100 | + | 0.294181i | |||||
0 | 0 | |||||||||
14.4364 | − | 7.35569i | 0.617254 | − | 0.314507i | −0.117259 | − | 0.993101i | ||
0.734513 | + | 0.678595i | ||||||||
0 | 0 | |||||||||
− | 6.69938i | − | 0.285922i | |||||||
0 | 0 | |||||||||
− | 43.6874i | − | 1.86115i | |||||||
0 | 0 | |||||||||
9.74586 | − | 4.96576i | 0.414436 | − | 0.211166i | |||||
0 | 0 | |||||||||
8.20423 | − | 5.07049i | 0.348250 | − | 0.215230i | |||||
0 | 0 | |||||||||
23.4966 | − | 23.4966i | 0.995583 | − | 0.995583i | −0.00440744 | − | 0.999990i | ||
0.999990 | + | 0.00440744i | ||||||||
0 | 0 | |||||||||
35.6764 | + | 25.9204i | 1.50895 | + | 1.09632i | |||||
0 | 0 | |||||||||
−1.29419 | + | 0.940285i | −0.0546408 | + | 0.0396988i | |||||
0 | 0 | |||||||||
−18.2001 | + | 2.88261i | −0.767043 | + | 0.121488i | −0.527681 | − | 0.849443i | ||
−0.239362 | + | 0.970930i | ||||||||
0 | 0 | |||||||||
23.0378 | − | 1.90112i | 0.969207 | − | 0.0799809i | |||||
0 | 0 | |||||||||
−9.75198 | + | 19.1393i | −0.409545 | + | 0.803777i | |||||
0 | 0 | |||||||||
1.24601 | − | 0.404854i | 0.0522355 | − | 0.0169724i | −0.282783 | − | 0.959184i | ||
0.335018 | + | 0.942212i | ||||||||
0 | 0 | |||||||||
−4.68049 | − | 1.52078i | −0.195872 | − | 0.0636428i | 0.209438 | − | 0.977822i | ||
−0.405310 | + | 0.914179i | ||||||||
0 | 0 | |||||||||
0.950379 | + | 0.150525i | 0.0397027 | + | 0.00628828i | |||||
0 | 0 | |||||||||
−2.32114 | + | 7.33267i | −0.0967981 | + | 0.305793i | |||||
0 | 0 | |||||||||
3.10016 | − | 19.5737i | 0.129062 | − | 0.814862i | −0.835207 | − | 0.549936i | ||
0.964269 | − | 0.264927i | ||||||||
0 | 0 | |||||||||
−1.21171 | + | 3.72927i | −0.0503571 | + | 0.154983i | |||||
0 | 0 | |||||||||
−3.27716 | − | 10.0861i | −0.135959 | − | 0.418440i | |||||
0 | 0 | |||||||||
27.1882 | + | 13.8531i | 1.12602 | + | 0.573736i | |||||
0 | 0 | |||||||||
−4.61066 | + | 7.58842i | −0.190627 | + | 0.313742i | |||||
0 | 0 | |||||||||
−4.17496 | − | 26.3597i | −0.172319 | − | 1.08798i | −0.910540 | − | 0.413421i | ||
0.738221 | − | 0.674559i | ||||||||
0 | 0 | |||||||||
−7.01057 | − | 9.64922i | −0.288865 | − | 0.397589i | |||||
0 | 0 | |||||||||
6.19645 | − | 8.52869i | 0.254888 | − | 0.350823i | |||||
0 | 0 | |||||||||
7.10899 | + | 7.10899i | 0.291931 | + | 0.291931i | 0.837843 | − | 0.545911i | ||
−0.545911 | + | 0.837843i | ||||||||
0 | 0 | |||||||||
−2.62654 | + | 0.641130i | −0.107678 | + | 0.0262838i | |||||
0 | 0 | |||||||||
−3.40520 | − | 6.68309i | −0.139366 | − | 0.273521i | |||||
0 | 0 | |||||||||
39.7238 | 1.62307 | 0.811536 | − | 0.584302i | ||||||
0.811536 | + | 0.584302i | ||||||||
0 | 0 | |||||||||
7.44239 | 0.303582 | 0.151791 | − | 0.988413i | ||||||
0.151791 | + | 0.988413i | ||||||||
0 | 0 | |||||||||
3.89659 | + | 7.64748i | 0.158681 | + | 0.311430i | |||||
0 | 0 | |||||||||
7.74396 | + | 3.17327i | 0.314837 | + | 0.129012i | |||||
0 | 0 | |||||||||
−22.8498 | − | 22.8498i | −0.927445 | − | 0.927445i | 0.0700955 | − | 0.997540i | ||
−0.997540 | + | 0.0700955i | ||||||||
0 | 0 | |||||||||
19.3951 | − | 26.6950i | 0.785928 | − | 1.08174i | |||||
0 | 0 | |||||||||
−5.59999 | − | 7.70772i | −0.226551 | − | 0.311821i | |||||
0 | 0 | |||||||||
−4.46309 | − | 28.1788i | −0.180262 | − | 1.13813i | −0.897406 | − | 0.441207i | ||
0.717143 | − | 0.696926i | ||||||||
0 | 0 | |||||||||
−21.1031 | − | 4.98177i | −0.850959 | − | 0.200884i | |||||
0 | 0 | |||||||||
−7.60111 | − | 3.87296i | −0.306009 | − | 0.155920i | 0.294242 | − | 0.955731i | ||
−0.600251 | + | 0.799811i | ||||||||
0 | 0 | |||||||||
−6.83480 | − | 21.0353i | −0.274714 | − | 0.845482i | −0.989295 | − | 0.145929i | ||
0.714581 | − | 0.699552i | ||||||||
0 | 0 | |||||||||
−2.68862 | + | 8.27471i | −0.107891 | + | 0.332053i | |||||
0 | 0 | |||||||||
−7.55596 | + | 47.7064i | −0.302723 | + | 1.91132i | |||||
0 | 0 | |||||||||
23.8910 | + | 7.36356i | 0.955638 | + | 0.294542i | |||||
0 | 0 | |||||||||
−42.3757 | − | 6.71166i | −1.69232 | − | 0.268038i | |||||
0 | 0 | |||||||||
0.838853 | + | 0.272560i | 0.0334473 | + | 0.0108677i | |||||
0 | 0 | |||||||||
−14.3275 | + | 4.65528i | −0.570368 | + | 0.185324i | −0.579981 | − | 0.814630i | ||
0.00961299 | + | 0.999954i | ||||||||
0 | 0 | |||||||||
5.25672 | − | 10.3169i | 0.208936 | − | 0.410060i | |||||
0 | 0 | |||||||||
4.74603 | − | 20.1045i | 0.188341 | − | 0.797823i | |||||
0 | 0 | |||||||||
41.3936 | − | 6.55610i | 1.64007 | − | 0.259762i | |||||
0 | 0 | |||||||||
−5.43497 | + | 3.94874i | −0.215004 | + | 0.156210i | |||||
0 | 0 | |||||||||
−26.9426 | − | 19.5749i | −1.06417 | − | 0.773163i | −0.0893123 | − | 0.996004i | ||
−0.974855 | + | 0.222841i | ||||||||
0 | 0 | |||||||||
26.5370 | − | 26.5370i | 1.04652 | − | 1.04652i | 0.0476541 | − | 0.998864i | ||
0.998864 | − | 0.0476541i | ||||||||
0 | 0 | |||||||||
12.9372 | − | 31.5716i | 0.509402 | − | 1.24313i | |||||
0 | 0 | |||||||||
14.8905 | − | 7.58707i | 0.585404 | − | 0.298278i | −0.136092 | − | 0.990696i | ||
0.721497 | + | 0.692418i | ||||||||
0 | 0 | |||||||||
48.2810i | 1.89519i | |||||||||
0 | 0 | |||||||||
− | 9.00847i | − | 0.353070i | |||||||
0 | 0 | |||||||||
−8.39806 | + | 4.27902i | −0.328641 | + | 0.167451i | −0.610524 | − | 0.791998i | ||
0.281883 | + | 0.959449i | ||||||||
0 | 0 | |||||||||
11.1899 | + | 45.8420i | 0.437225 | + | 1.79120i | |||||
0 | 0 | |||||||||
−10.2224 | + | 10.2224i | −0.398815 | + | 0.398815i | |||||
0 | 0 | |||||||||
21.3774 | + | 15.5316i | 0.832745 | + | 0.605025i | 0.920335 | − | 0.391132i | ||
−0.0875893 | + | 0.996157i | ||||||||
0 | 0 | |||||||||
17.7042 | − | 12.8628i | 0.688612 | − | 0.500306i | −0.187591 | − | 0.982247i | ||
0.876204 | + | 0.481941i | ||||||||
0 | 0 | |||||||||
1.69752 | − | 0.268861i | 0.0659264 | − | 0.0104417i | |||||
0 | 0 | |||||||||
−61.9698 | − | 37.6523i | −2.40308 | − | 1.46009i | |||||
0 | 0 | |||||||||
3.89726 | − | 7.64880i | 0.150903 | − | 0.296163i | |||||
0 | 0 | |||||||||
5.08561 | − | 1.65242i | 0.196621 | − | 0.0638861i | |||||
0 | 0 | |||||||||
25.4143 | + | 8.25761i | 0.981109 | + | 0.318782i | |||||
0 | 0 | |||||||||
−7.36687 | − | 1.16680i | −0.283972 | − | 0.0449768i | 0.0128235 | − | 0.999918i | ||
−0.296796 | + | 0.954941i | ||||||||
0 | 0 | |||||||||
26.9620 | + | 8.53475i | 1.03777 | + | 0.328503i | |||||
0 | 0 | |||||||||
−2.11287 | + | 13.3401i | −0.0812042 | + | 0.512703i | 0.913239 | + | 0.407425i | ||
−0.994443 | + | 0.105278i | ||||||||
0 | 0 | |||||||||
−4.84130 | + | 14.9000i | −0.185792 | + | 0.571809i | |||||
0 | 0 | |||||||||
4.10501 | + | 12.6339i | 0.157304 | + | 0.484132i | |||||
0 | 0 | |||||||||
28.3996 | + | 14.4703i | 1.08668 | + | 0.553692i | 0.903151 | − | 0.429323i | ||
0.183530 | + | 0.983014i | ||||||||
0 | 0 | |||||||||
1.34995 | + | 16.3587i | 0.0515791 | + | 0.625034i | |||||
0 | 0 | |||||||||
−1.30780 | − | 8.25710i | −0.0498955 | − | 0.315028i | |||||
0 | 0 | |||||||||
−19.2697 | − | 26.5224i | −0.734116 | − | 1.01042i | |||||
0 | 0 | |||||||||
−15.1560 | + | 20.8605i | −0.576563 | + | 0.793571i | −0.993313 | − | 0.115450i | ||
0.416750 | + | 0.909021i | ||||||||
0 | 0 | |||||||||
10.8262 | + | 10.8262i | 0.411253 | + | 0.411253i | |||||
0 | 0 | |||||||||
12.1008 | + | 19.5795i | 0.459010 | + | 0.742694i | |||||
0 | 0 | |||||||||
−0.900248 | − | 1.76684i | −0.0340993 | − | 0.0669237i | |||||
0 | 0 | |||||||||
−11.8399 | −0.447825 | |||||||||
0 | 0 | |||||||||
20.3302 | 0.767860 | 0.383930 | − | 0.923362i | ||||||
0.383930 | + | 0.923362i | ||||||||
0 | 0 | |||||||||
10.7395 | + | 21.0774i | 0.405047 | + | 0.794949i | |||||
0 | 0 | |||||||||
−4.76600 | + | 5.62334i | −0.179498 | + | 0.211787i | |||||
0 | 0 | |||||||||
34.5918 | + | 34.5918i | 1.30096 | + | 1.30096i | |||||
0 | 0 | |||||||||
−7.51229 | + | 10.3398i | −0.282130 | + | 0.388319i | −0.926438 | − | 0.376447i | ||
0.644308 | + | 0.764766i | ||||||||
0 | 0 | |||||||||
−1.49402 | − | 2.05635i | −0.0560302 | − | 0.0771190i | |||||
0 | 0 | |||||||||
−0.366626 | − | 2.31479i | −0.0137302 | − | 0.0866894i | |||||
0 | 0 | |||||||||
−23.1038 | − | 26.8441i | −0.864035 | − | 1.00391i | |||||
0 | 0 | |||||||||
−31.5843 | − | 16.0930i | −1.17954 | − | 0.601004i | |||||
0 | 0 | |||||||||
3.29703 | + | 10.1472i | 0.122959 | + | 0.378427i | 0.993524 | − | 0.113626i | ||
−0.870565 | + | 0.492053i | ||||||||
0 | 0 | |||||||||
−7.77127 | + | 23.9175i | −0.289417 | + | 0.890735i | |||||
0 | 0 | |||||||||
−1.61025 | + | 10.1667i | −0.0598860 | + | 0.378105i | |||||
0 | 0 | |||||||||
−24.9574 | − | 12.4787i | −0.926895 | − | 0.463447i | |||||
0 | 0 | |||||||||
−27.4276 | − | 4.34410i | −1.01723 | − | 0.161114i | −0.374518 | − | 0.927220i | ||
−0.642714 | + | 0.766106i | ||||||||
0 | 0 | |||||||||
27.7821 | + | 9.02694i | 1.02897 | + | 0.334331i | |||||
0 | 0 | |||||||||
2.96757 | − | 0.964222i | 0.109760 | − | 0.0356630i | |||||
0 | 0 | |||||||||
14.4667 | − | 28.3925i | 0.534339 | − | 1.04870i | −0.453212 | − | 0.891403i | ||
0.987551 | − | 0.157297i | ||||||||
0 | 0 | |||||||||
−12.5224 | − | 29.9102i | −0.461897 | − | 1.10326i | |||||
0 | 0 | |||||||||
−33.8139 | + | 5.35560i | −1.24555 | + | 0.197276i | |||||
0 | 0 | |||||||||
−37.2176 | + | 27.0402i | −1.36907 | + | 0.994688i | −0.371262 | + | 0.928528i | ||
−0.997809 | + | 0.0661598i | ||||||||
0 | 0 | |||||||||
37.2915 | + | 27.0939i | 1.36994 | + | 0.995319i | |||||
0 | 0 | |||||||||
18.2973 | − | 18.2973i | 0.671262 | − | 0.671262i | −0.286745 | − | 0.958007i | ||
0.958007 | + | 0.286745i | ||||||||
0 | 0 | |||||||||
26.4405 | + | 1.97996i | 0.968704 | + | 0.0725401i | |||||
0 | 0 | |||||||||
−2.19581 | + | 1.11882i | −0.0803406 | + | 0.0409356i | |||||
0 | 0 | |||||||||
− | 15.5814i | − | 0.569330i | |||||||
0 | 0 | |||||||||
− | 3.66430i | − | 0.133712i | −0.997763 | − | 0.0668561i | ||||
0.997763 | − | 0.0668561i | ||||||||
0 | 0 | |||||||||
−37.3248 | + | 19.0180i | −1.36019 | + | 0.693053i | |||||
0 | 0 | |||||||||
29.0240 | + | 2.17342i | 1.05629 | + | 0.0790989i | |||||
0 | 0 | |||||||||
−16.0349 | + | 16.0349i | −0.582797 | + | 0.582797i | −0.935671 | − | 0.352874i | ||
0.352874 | + | 0.935671i | ||||||||
0 | 0 | |||||||||
−6.82042 | − | 4.95533i | −0.247566 | − | 0.179867i | |||||
0 | 0 | |||||||||
2.89867 | − | 2.10600i | 0.105077 | − | 0.0763426i | −0.534006 | − | 0.845481i | ||
0.639083 | + | 0.769138i | ||||||||
0 | 0 | |||||||||
−19.4353 | + | 3.07825i | −0.703606 | + | 0.111440i | |||||
0 | 0 | |||||||||
0.242632 | + | 0.579535i | 0.00877240 | + | 0.0209531i | |||||
0 | 0 | |||||||||
23.5493 | − | 46.2181i | 0.850317 | − | 1.66884i | |||||
0 | 0 | |||||||||
−32.4148 | + | 10.5322i | −1.16891 | + | 0.379802i | −0.828236 | − | 0.560380i | ||
−0.340674 | + | 0.940182i | ||||||||
0 | 0 | |||||||||
−30.9669 | − | 10.0618i | −1.11525 | − | 0.362366i | |||||
0 | 0 | |||||||||
7.62309 | + | 1.20738i | 0.274183 | + | 0.0434264i | 0.292012 | − | 0.956415i | ||
−0.0178285 | + | 0.999841i | ||||||||
0 | 0 | |||||||||
−7.51480 | + | 1.24878i | −0.269940 | + | 0.0448574i | |||||
0 | 0 | |||||||||
−2.79502 | + | 17.6471i | −0.100271 | + | 0.633085i | |||||
0 | 0 | |||||||||
16.4344 | − | 50.5800i | 0.588824 | − | 1.81222i | |||||
0 | 0 | |||||||||
−8.28056 | − | 25.4849i | −0.296302 | − | 0.911923i | |||||
0 | 0 | |||||||||
−28.1244 | − | 14.3301i | −1.00508 | − | 0.512116i | |||||
0 | 0 | |||||||||
5.21759 | + | 6.06227i | 0.186224 | + | 0.216372i | |||||
0 | 0 | |||||||||
−3.28182 | − | 20.7206i | −0.116984 | − | 0.738611i | −0.974539 | − | 0.224218i | ||
0.857555 | − | 0.514393i | ||||||||
0 | 0 | |||||||||
18.1870 | + | 25.0323i | 0.647476 | + | 0.891174i | |||||
0 | 0 | |||||||||
−25.1709 | + | 34.6448i | −0.894976 | + | 1.23183i | |||||
0 | 0 | |||||||||
−20.3008 | − | 20.3008i | −0.720902 | − | 0.720902i | |||||
0 | 0 | |||||||||
−16.3999 | + | 19.3500i | −0.581644 | + | 0.686275i | |||||
0 | 0 | |||||||||
8.94048 | + | 17.5467i | 0.316688 | + | 0.621535i | 0.993399 | − | 0.114714i | ||
−0.676711 | + | 0.736249i | ||||||||
0 | 0 | |||||||||
−0.674124 | −0.0238488 | |||||||||
0 | 0 | |||||||||
11.2242 | 0.396588 | |||||||||
0 | 0 | |||||||||
−26.1790 | − | 51.3792i | −0.923838 | − | 1.81313i | |||||
0 | 0 | |||||||||
−7.49080 | − | 12.1204i | −0.264016 | − | 0.427187i | |||||
0 | 0 | |||||||||
30.1491 | + | 30.1491i | 1.06130 | + | 1.06130i | |||||
0 | 0 | |||||||||
−10.5652 | + | 14.5418i | −0.371454 | + | 0.511263i | −0.953295 | − | 0.302040i | ||
0.581841 | + | 0.813302i | ||||||||
0 | 0 | |||||||||
3.88707 | + | 5.35010i | 0.136494 | + | 0.187867i | 0.871792 | − | 0.489876i | ||
−0.735298 | + | 0.677743i | ||||||||
0 | 0 | |||||||||
3.82348 | + | 24.1405i | 0.134095 | + | 0.846644i | |||||
0 | 0 | |||||||||
−2.67629 | − | 32.4313i | −0.0937464 | − | 1.13602i | |||||
0 | 0 | |||||||||
74.5645 | + | 37.9925i | 2.60868 | + | 1.32919i | |||||
0 | 0 | |||||||||
−5.08309 | − | 15.6442i | −0.177618 | − | 0.546651i | |||||
0 | 0 | |||||||||
−0.360464 | + | 1.10939i | −0.0125803 | + | 0.0387181i | −0.957150 | − | 0.289594i | ||
0.944569 | + | 0.328312i | ||||||||
0 | 0 | |||||||||
5.62489 | − | 35.5142i | 0.196071 | − | 1.23795i | −0.671640 | − | 0.740878i | ||
0.867711 | − | 0.497068i | ||||||||
0 | 0 | |||||||||
−15.9382 | + | 22.2910i | −0.554898 | + | 0.776073i | |||||
0 | 0 | |||||||||
17.3046 | + | 2.74077i | 0.601739 | + | 0.0953060i | 0.449869 | − | 0.893095i | ||
0.151870 | + | 0.988401i | ||||||||
0 | 0 | |||||||||
15.2346 | + | 4.95002i | 0.529120 | + | 0.171921i | 0.561380 | − | 0.827558i | ||
−0.0322604 | + | 0.999479i | ||||||||
0 | 0 | |||||||||
16.1014 | − | 5.23166i | 0.558551 | − | 0.181484i | |||||
0 | 0 | |||||||||
1.34627 | − | 2.64220i | 0.0466454 | − | 0.0915467i | |||||
0 | 0 | |||||||||
−13.6853 | − | 8.31507i | −0.473599 | − | 0.287755i | |||||
0 | 0 | |||||||||
−8.51140 | + | 1.34807i | −0.294197 | + | 0.0465962i | |||||
0 | 0 | |||||||||
−31.4048 | + | 22.8169i | −1.08421 | + | 0.787727i | −0.978413 | − | 0.206661i | ||
−0.105800 | + | 0.994387i | ||||||||
0 | 0 | |||||||||
1.73420 | + | 1.25997i | 0.0598001 | + | 0.0434473i | |||||
0 | 0 | |||||||||
18.8318 | − | 18.8318i | 0.648602 | − | 0.648602i | |||||
0 | 0 | |||||||||
2.13011 | + | 8.72649i | 0.0732779 | + | 0.300200i | |||||
0 | 0 | |||||||||
−13.8139 | + | 7.03853i | −0.474651 | + | 0.241847i | |||||
0 | 0 | |||||||||
22.4679i | 0.771098i | |||||||||
0 | 0 | |||||||||
4.64828i | 0.159341i | |||||||||
0 | 0 | |||||||||
19.3009 | − | 9.83431i | 0.660851 | − | 0.336720i | −0.0911931 | − | 0.995833i | ||
0.752044 | + | 0.659113i | ||||||||
0 | 0 | |||||||||
−6.38919 | + | 15.5920i | −0.218506 | + | 0.533235i | |||||
0 | 0 | |||||||||
−30.7036 | + | 30.7036i | −1.04881 | + | 1.04881i | −0.0500684 | + | 0.998746i | ||
−0.998746 | + | 0.0500684i | ||||||||
0 | 0 | |||||||||
−0.0460861 | − | 0.0334835i | −0.00157244 | − | 0.00114244i | 0.586999 | − | 0.809588i | ||
−0.588571 | + | 0.808445i | ||||||||
0 | 0 | |||||||||
32.4972 | − | 23.6106i | 1.10750 | − | 0.804648i | |||||
0 | 0 | |||||||||
−9.17549 | + | 1.45326i | −0.312337 | + | 0.0494694i | −0.310635 | − | 0.950529i | ||
−0.00170208 | + | 0.999999i | ||||||||
0 | 0 | |||||||||
−3.79916 | + | 16.0935i | −0.129175 | + | 0.547195i | |||||
0 | 0 | |||||||||
−10.9610 | + | 21.5122i | −0.372256 | + | 0.730593i | |||||
0 | 0 | |||||||||
9.64234 | − | 3.13299i | 0.327094 | − | 0.106279i | |||||
0 | 0 | |||||||||
34.9814 | + | 11.3661i | 1.18530 | + | 0.385127i | |||||
0 | 0 | |||||||||
3.59582 | + | 0.569523i | 0.121700 | + | 0.0192754i | |||||
0 | 0 | |||||||||
−39.2105 | + | 24.6467i | −1.32556 | + | 0.833212i | |||||
0 | 0 | |||||||||
−7.07858 | + | 44.6924i | −0.239027 | + | 1.50916i | 0.517779 | + | 0.855515i | ||
−0.756805 | + | 0.653640i | ||||||||
0 | 0 | |||||||||
14.7174 | − | 45.2954i | 0.496404 | − | 1.52777i | |||||
0 | 0 | |||||||||
5.21481 | + | 16.0495i | 0.175691 | + | 0.540723i | 0.999664 | − | 0.0259066i | ||
−0.823973 | + | 0.566629i | ||||||||
0 | 0 | |||||||||
−11.4537 | − | 5.83596i | −0.385448 | − | 0.196396i | 0.250519 | − | 0.968112i | ||
−0.635967 | + | 0.771716i | ||||||||
0 | 0 | |||||||||
−39.0601 | − | 9.22085i | −1.31299 | − | 0.309955i | |||||
0 | 0 | |||||||||
7.92120 | + | 50.0125i | 0.265968 | + | 1.67926i | 0.653132 | + | 0.757244i | ||
−0.387164 | + | 0.922011i | ||||||||
0 | 0 | |||||||||
22.4934 | + | 30.9595i | 0.754404 | + | 1.03835i | |||||
0 | 0 | |||||||||
−11.7031 | + | 16.1080i | −0.392069 | + | 0.539637i | |||||
0 | 0 | |||||||||
−12.7844 | − | 12.7844i | −0.427815 | − | 0.427815i | |||||
0 | 0 | |||||||||
8.84006 | + | 3.62242i | 0.295490 | + | 0.121084i | |||||
0 | 0 | |||||||||
4.11203 | + | 8.07031i | 0.137297 | + | 0.269460i | |||||
0 | 0 | |||||||||
8.50250 | 0.283574 | |||||||||
0 | 0 | |||||||||
−2.31967 | −0.0772795 | |||||||||
0 | 0 | |||||||||
28.6956 | + | 56.3182i | 0.954928 | + | 1.87415i | |||||
0 | 0 | |||||||||
−35.3918 | + | 8.63902i | −1.17646 | + | 0.287171i | |||||
0 | 0 | |||||||||
18.8330 | + | 18.8330i | 0.625339 | + | 0.625339i | 0.946892 | − | 0.321553i | ||
−0.321553 | + | 0.946892i | ||||||||
0 | 0 | |||||||||
6.68199 | − | 9.19697i | 0.221628 | − | 0.305044i | |||||
0 | 0 | |||||||||
6.27133 | + | 8.63174i | 0.207778 | + | 0.285982i | 0.900169 | − | 0.435540i | ||
−0.692391 | + | 0.721523i | ||||||||
0 | 0 | |||||||||
−1.53775 | − | 9.70894i | −0.0508920 | − | 0.321319i | |||||
0 | 0 | |||||||||
−11.5343 | + | 18.9836i | −0.381311 | + | 0.627577i | |||||
0 | 0 | |||||||||
−77.8894 | − | 39.6866i | −2.57214 | − | 1.31057i | |||||
0 | 0 | |||||||||
−13.7726 | − | 42.3878i | −0.454318 | − | 1.39825i | −0.871934 | − | 0.489623i | ||
0.417617 | − | 0.908623i | ||||||||
0 | 0 | |||||||||
−0.0628025 | + | 0.193286i | −0.00206941 | + | 0.00636900i | |||||
0 | 0 | |||||||||
−4.50366 | + | 28.4350i | −0.148240 | + | 0.935949i | |||||
0 | 0 | |||||||||
15.1085 | − | 0.114695i | 0.496765 | − | 0.00377116i | |||||
0 | 0 | |||||||||
5.77203 | + | 0.914200i | 0.189578 | + | 0.0300263i | |||||
0 | 0 | |||||||||
3.04696 | + | 0.990017i | 0.0999675 | + | 0.0324814i | 0.358574 | − | 0.933501i | ||
−0.258606 | + | 0.965983i | ||||||||
0 | 0 | |||||||||
75.6393 | − | 24.5767i | 2.47898 | − | 0.805468i | |||||
0 | 0 | |||||||||
6.89111 | − | 13.5246i | 0.225605 | − | 0.442774i | |||||
0 | 0 | |||||||||
−2.49755 | + | 0.206103i | −0.0816787 | + | 0.00674029i | |||||
0 | 0 | |||||||||
−45.1439 | + | 7.15010i | −1.47479 | + | 0.233583i | −0.841468 | − | 0.540307i | ||
−0.633320 | + | 0.773890i | ||||||||
0 | 0 | |||||||||
26.9913 | − | 19.6103i | 0.880827 | − | 0.639958i | |||||
0 | 0 | |||||||||
−1.31101 | − | 0.952505i | −0.0427377 | − | 0.0310508i | 0.566211 | − | 0.824260i | ||
−0.608949 | + | 0.793209i | ||||||||
0 | 0 | |||||||||
7.38947 | − | 7.38947i | 0.240634 | − | 0.240634i | |||||
0 | 0 | |||||||||
−44.5663 | + | 27.5435i | −1.44974 | + | 0.895989i | |||||
0 | 0 | |||||||||
6.11091 | − | 3.11366i | 0.198578 | − | 0.101180i | −0.351874 | − | 0.936047i | ||
0.550452 | + | 0.834867i | ||||||||
0 | 0 | |||||||||
61.9530i | 2.01108i | |||||||||
0 | 0 | |||||||||
13.7645i | 0.446345i | |||||||||
0 | 0 | |||||||||
45.7444 | − | 23.3080i | 1.48181 | − | 0.755019i | 0.488725 | − | 0.872438i | ||
0.993082 | + | 0.117419i | ||||||||
0 | 0 | |||||||||
1.14993 | + | 0.974612i | 0.0372110 | + | 0.0315377i | |||||
0 | 0 | |||||||||
21.6269 | − | 21.6269i | 0.699099 | − | 0.699099i | |||||
0 | 0 | |||||||||
−24.6007 | − | 17.8734i | −0.794397 | − | 0.577163i | |||||
0 | 0 | |||||||||
−23.2016 | + | 16.8569i | −0.748438 | + | 0.543772i | |||||
0 | 0 | |||||||||
−3.57622 | + | 0.566418i | −0.115242 | + | 0.0182526i | |||||
0 | 0 | |||||||||
−4.65584 | + | 4.00712i | −0.149877 | + | 0.128994i | |||||
0 | 0 | |||||||||
−19.2666 | + | 37.8129i | −0.619573 | + | 1.21598i | 0.341551 | + | 0.939863i | ||
−0.961124 | + | 0.276117i | ||||||||
0 | 0 | |||||||||
3.10192 | − | 1.00787i | 0.0996480 | − | 0.0323776i | |||||
0 | 0 | |||||||||
28.6325 | + | 9.30326i | 0.918861 | + | 0.298556i | 0.729999 | − | 0.683448i | ||
0.188861 | + | 0.982004i | ||||||||
0 | 0 | |||||||||
−42.1150 | − | 6.67037i | −1.35015 | − | 0.213842i | |||||
0 | 0 | |||||||||
26.1298 | − | 13.5646i | 0.836823 | − | 0.434416i | |||||
0 | 0 | |||||||||
3.59037 | − | 22.6687i | 0.114866 | − | 0.725235i | −0.861282 | − | 0.508128i | ||
0.976148 | − | 0.217107i | ||||||||
0 | 0 | |||||||||
−13.8349 | + | 42.5795i | −0.442166 | + | 1.36085i | |||||
0 | 0 | |||||||||
1.41304 | + | 4.34888i | 0.0451148 | + | 0.138849i | |||||
0 | 0 | |||||||||
−45.8856 | − | 23.3799i | −1.46352 | − | 0.745702i | −0.472745 | − | 0.881199i | ||
−0.990778 | + | 0.135497i | ||||||||
0 | 0 | |||||||||
15.2336 | − | 6.37780i | 0.485382 | − | 0.203213i | |||||
0 | 0 | |||||||||
−2.13622 | − | 13.4875i | −0.0679966 | − | 0.429313i | |||||
0 | 0 | |||||||||
9.66555 | + | 13.3035i | 0.307347 | + | 0.423026i | |||||
0 | 0 | |||||||||
7.43042 | − | 10.2271i | 0.236035 | − | 0.324874i | −0.674524 | − | 0.738253i | ||
0.910559 | + | 0.413378i | ||||||||
0 | 0 | |||||||||
9.95250 | + | 9.95250i | 0.315833 | + | 0.315833i | |||||
0 | 0 | |||||||||
0.877439 | − | 11.7174i | 0.0278167 | − | 0.371465i | |||||
0 | 0 | |||||||||
10.5746 | + | 20.7537i | 0.334900 | + | 0.657277i | 0.995634 | − | 0.0933423i | ||
−0.660735 | + | 0.750620i | ||||||||
0 | 0 | |||||||||
17.0916 | 0.540754 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 400.2.bi.b.223.1 | ✓ | 16 | |
4.3 | odd | 2 | inner | 400.2.bi.b.223.2 | yes | 16 | |
25.12 | odd | 20 | inner | 400.2.bi.b.287.2 | yes | 16 | |
100.87 | even | 20 | inner | 400.2.bi.b.287.1 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bi.b.223.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
400.2.bi.b.223.2 | yes | 16 | 4.3 | odd | 2 | inner | |
400.2.bi.b.287.1 | yes | 16 | 100.87 | even | 20 | inner | |
400.2.bi.b.287.2 | yes | 16 | 25.12 | odd | 20 | inner |