Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,6,Mod(149,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.149");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 200.f (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: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 149.3 | ||
Character | 200.149 | ||
Dual form | 200.6.f.d.149.4 |
-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 .
−5.36768 | − | 1.78549i | −0.948881 | − | 0.315633i | |||||
29.6034 | 1.89906 | 0.949529 | − | 0.313679i | ||||||
0.949529 | + | 0.313679i | ||||||||
25.6240 | + | 19.1679i | 0.800751 | + | 0.598997i | |||||
0 | 0 | |||||||||
−158.902 | − | 52.8566i | −1.80198 | − | 0.599406i | |||||
− | 90.3364i | − | 0.696816i | −0.937343 | − | 0.348408i | ||||
0.937343 | − | 0.348408i | ||||||||
−103.318 | − | 148.639i | −0.570754 | − | 0.821121i | |||||
633.360 | 2.60642 | |||||||||
0 | 0 | |||||||||
− | 181.932i | − | 0.453344i | −0.973971 | − | 0.226672i | ||||
0.973971 | − | 0.226672i | ||||||||
758.558 | + | 567.435i | 1.52067 | + | 1.13753i | |||||
−455.237 | −0.747101 | −0.373551 | − | 0.927610i | ||||||
−0.373551 | + | 0.927610i | ||||||||
−161.295 | + | 484.897i | −0.219938 | + | 0.661195i | |||||
0 | 0 | |||||||||
289.182 | + | 982.319i | 0.282404 | + | 0.959295i | |||||
− | 615.967i | − | 0.516934i | −0.966020 | − | 0.258467i | ||||
0.966020 | − | 0.258467i | ||||||||
−3399.68 | − | 1130.86i | −2.47318 | − | 0.822674i | |||||
− | 2493.63i | − | 1.58470i | −0.610067 | − | 0.792350i | ||||
0.610067 | − | 0.792350i | ||||||||
0 | 0 | |||||||||
− | 2674.26i | − | 1.32329i | |||||||
−324.839 | + | 976.555i | −0.143091 | + | 0.430170i | |||||
− | 4427.05i | − | 1.74500i | −0.488616 | − | 0.872499i | ||||
0.488616 | − | 0.872499i | ||||||||
−3058.55 | − | 4400.21i | −1.08389 | − | 1.55936i | |||||
0 | 0 | |||||||||
2443.57 | + | 812.823i | 0.708910 | + | 0.235810i | |||||
11556.0 | 3.05069 | |||||||||
1731.56 | − | 2314.78i | 0.417391 | − | 0.557976i | |||||
7659.34i | 1.69121i | 0.533813 | + | 0.845603i | ||||||
−0.533813 | + | 0.845603i | ||||||||
0 | 0 | |||||||||
−6767.72 | −1.26485 | −0.632424 | − | 0.774622i | ||||||
−0.632424 | + | 0.774622i | ||||||||
201.685 | − | 5789.11i | 0.0348176 | − | 0.999394i | |||||
− | 5385.81i | − | 0.860927i | |||||||
−1099.80 | + | 3306.31i | −0.163162 | + | 0.490509i | |||||
0 | 0 | |||||||||
16229.2 | + | 12140.2i | 2.08709 | + | 1.56124i | |||||
4808.64 | 0.577455 | 0.288727 | − | 0.957411i | ||||||
0.288727 | + | 0.957411i | ||||||||
−4452.35 | + | 13385.0i | −0.500185 | + | 1.50369i | |||||
−13476.6 | −1.41879 | |||||||||
0 | 0 | |||||||||
1885.99 | 0.175218 | 0.0876092 | − | 0.996155i | ||||||
0.0876092 | + | 0.996155i | ||||||||
−4774.88 | + | 14354.6i | −0.417676 | + | 1.25565i | |||||
8262.94 | 0.681496 | 0.340748 | − | 0.940155i | ||||||
0.340748 | + | 0.940155i | ||||||||
3487.26 | − | 4661.84i | 0.271552 | − | 0.363016i | |||||
0 | 0 | |||||||||
−7904.46 | + | 23763.0i | −0.550780 | + | 1.65580i | |||||
5728.44i | 0.378261i | 0.981952 | + | 0.189130i | ||||||
−0.981952 | + | 0.189130i | ||||||||
8560.77 | + | 29080.0i | 0.536302 | + | 1.82176i | |||||
8646.33 | 0.514448 | |||||||||
0 | 0 | |||||||||
− | 18234.7i | − | 0.981687i | |||||||
−11665.0 | − | 8725.95i | −0.598242 | − | 0.447512i | |||||
32364.5 | 1.58263 | 0.791316 | − | 0.611408i | ||||||
0.791316 | + | 0.611408i | ||||||||
−62028.9 | − | 20633.1i | −2.89474 | − | 0.962899i | |||||
0 | 0 | |||||||||
−13427.5 | + | 9333.33i | −0.572170 | + | 0.397710i | |||||
− | 73819.8i | − | 3.00944i | |||||||
13675.7 | − | 41112.9i | 0.533801 | − | 1.60475i | |||||
20848.8i | 0.779740i | 0.920870 | + | 0.389870i | ||||||
−0.920870 | + | 0.389870i | ||||||||
0 | 0 | |||||||||
− | 13265.1i | − | 0.456442i | −0.973609 | − | 0.228221i | ||||
0.973609 | − | 0.228221i | ||||||||
36327.0 | + | 12083.7i | 1.20019 | + | 0.399228i | |||||
− | 57215.5i | − | 1.81620i | |||||||
−11419.0 | + | 30714.0i | −0.348480 | + | 0.937316i | |||||
0 | 0 | |||||||||
−9616.33 | + | 28909.3i | −0.271737 | + | 0.816918i | |||||
9642.36 | 0.262420 | 0.131210 | − | 0.991355i | ||||||
0.131210 | + | 0.991355i | ||||||||
11806.8 | − | 15783.6i | 0.309642 | − | 0.413935i | |||||
− | 131056.i | − | 3.31385i | |||||||
0 | 0 | |||||||||
−33088.4 | −0.778986 | −0.389493 | − | 0.921029i | ||||||
−0.389493 | + | 0.921029i | ||||||||
−65437.2 | − | 94141.9i | −1.48763 | − | 2.14019i | |||||
− | 18595.6i | − | 0.408417i | −0.978927 | − | 0.204208i | ||||
0.978927 | − | 0.204208i | ||||||||
−25811.2 | − | 8585.79i | −0.547936 | − | 0.182264i | |||||
0 | 0 | |||||||||
47797.6 | − | 63896.7i | 0.949231 | − | 1.26895i | |||||
−16435.1 | −0.315897 | |||||||||
72337.9 | + | 24062.3i | 1.34626 | + | 0.447817i | |||||
−44201.2 | −0.796831 | −0.398415 | − | 0.917205i | ||||||
−0.398415 | + | 0.917205i | ||||||||
0 | 0 | |||||||||
188190. | 3.18701 | |||||||||
−10123.4 | − | 3367.42i | −0.166261 | − | 0.0553048i | |||||
−80063.0 | −1.27567 | −0.637833 | − | 0.770175i | ||||||
−0.637833 | + | 0.770175i | ||||||||
51260.1 | − | 68525.4i | 0.792649 | − | 1.05963i | |||||
0 | 0 | |||||||||
−44352.8 | − | 14753.4i | −0.646659 | − | 0.215103i | |||||
226742.i | 3.21170i | |||||||||
−27042.2 | + | 18796.8i | −0.372251 | + | 0.258748i | |||||
81639.3 | 1.09251 | 0.546254 | − | 0.837620i | ||||||
0.546254 | + | 0.837620i | ||||||||
0 | 0 | |||||||||
41124.5i | 0.520592i | |||||||||
84857.3 | − | 113439.i | 1.04525 | − | 1.39731i | |||||
−200348. | −2.40202 | |||||||||
10228.1 | − | 30748.4i | 0.119392 | − | 0.358925i | |||||
0 | 0 | |||||||||
5970.56 | − | 171377.i | 0.0661206 | − | 1.89791i | |||||
− | 22224.8i | − | 0.239833i | −0.992784 | − | 0.119917i | ||||
0.992784 | − | 0.119917i | ||||||||
−46410.7 | − | 15438.0i | −0.488150 | − | 0.162377i | |||||
− | 115229.i | − | 1.18161i | |||||||
0 | 0 | |||||||||
38894.0i | 0.379384i | 0.981844 | + | 0.189692i | ||||||
−0.981844 | + | 0.189692i | ||||||||
−32557.9 | + | 97878.1i | −0.309853 | + | 0.931505i | |||||
− | 175773.i | − | 1.63253i | −0.577681 | − | 0.816263i | ||||
0.577681 | − | 0.816263i | ||||||||
47034.0 | + | 67665.9i | 0.426411 | + | 0.613461i | |||||
0 | 0 | |||||||||
−173723. | − | 57786.6i | −1.50173 | − | 0.499531i | |||||
128182. | 1.08235 | 0.541175 | − | 0.840910i | ||||||
0.541175 | + | 0.840910i | ||||||||
296111. | + | 221504.i | 2.44284 | + | 1.82735i | |||||
49566.1i | 0.399594i | 0.979837 | + | 0.199797i | ||||||
−0.979837 | + | 0.199797i | ||||||||
0 | 0 | |||||||||
142352. | 1.09662 | |||||||||
88739.2 | − | 26123.7i | 0.668452 | − | 0.196784i | |||||
92377.7i | 0.680567i | 0.940323 | + | 0.340283i | ||||||
−0.940323 | + | 0.340283i | ||||||||
−131805. | + | 396241.i | −0.949879 | + | 2.85560i | |||||
0 | 0 | |||||||||
−146814. | + | 196263.i | −1.01303 | + | 1.35423i | |||||
−288329. | −1.94726 | |||||||||
37225.3 | − | 111909.i | 0.246112 | − | 0.739881i | |||||
−55644.2 | −0.360208 | |||||||||
0 | 0 | |||||||||
127952. | 0.794479 | |||||||||
−23684.7 | + | 71202.9i | −0.144069 | + | 0.433110i | |||||
55831.7 | 0.332750 | |||||||||
−173416. | − | 129723.i | −1.01283 | − | 0.757641i | |||||
0 | 0 | |||||||||
−102158. | + | 307115.i | −0.573252 | + | 1.72335i | |||||
− | 137192.i | − | 0.754778i | −0.926055 | − | 0.377389i | ||||
0.926055 | − | 0.377389i | ||||||||
116133. | − | 144474.i | 0.626514 | − | 0.779410i | |||||
244611. | 1.29420 | |||||||||
0 | 0 | |||||||||
− | 91906.6i | − | 0.467917i | −0.972247 | − | 0.233958i | ||||
0.972247 | − | 0.233958i | ||||||||
103235. | − | 138006.i | 0.515693 | − | 0.689388i | |||||
−225265. | −1.10424 | |||||||||
−51757.1 | − | 17216.4i | −0.249005 | − | 0.0828284i | |||||
0 | 0 | |||||||||
−91556.6 | + | 63640.1i | −0.424465 | + | 0.295042i | |||||
220709.i | 1.00466i | 0.864676 | + | 0.502330i | ||||||
−0.864676 | + | 0.502330i | ||||||||
−233999. | + | 703465.i | −1.04596 | + | 3.14445i | |||||
154375.i | 0.677706i | 0.940839 | + | 0.338853i | ||||||
−0.940839 | + | 0.338853i | ||||||||
0 | 0 | |||||||||
169581.i | 0.718339i | |||||||||
177608. | + | 59079.1i | 0.739165 | + | 0.245874i | |||||
82822.4i | 0.338694i | |||||||||
183157. | + | 622162.i | 0.736065 | + | 2.50033i | |||||
0 | 0 | |||||||||
−33202.4 | + | 99815.4i | −0.128910 | + | 0.387539i | |||||
255961. | 0.976967 | |||||||||
123217. | + | 92171.6i | 0.462397 | + | 0.345894i | |||||
152976.i | 0.564492i | 0.959342 | + | 0.282246i | ||||||
−0.959342 | + | 0.282246i | ||||||||
0 | 0 | |||||||||
−440485. | −1.57213 | −0.786066 | − | 0.618143i | ||||||
−0.786066 | + | 0.618143i | ||||||||
−370649. | + | 257635.i | −1.30123 | + | 0.904474i | |||||
− | 390129.i | − | 1.34735i | |||||||
88218.5 | + | 29344.8i | 0.299749 | + | 0.0997078i | |||||
0 | 0 | |||||||||
−345324. | − | 258318.i | −1.13610 | − | 0.849851i | |||||
433381. | 1.40320 | 0.701601 | − | 0.712570i | ||||||
0.701601 | + | 0.712570i | ||||||||
237258. | + | 78920.9i | 0.756098 | + | 0.251507i | |||||
958100. | 3.00551 | |||||||||
0 | 0 | |||||||||
−399924. | −1.21594 | |||||||||
−1.01014e6 | − | 336012.i | −3.02410 | − | 1.00593i | |||||
−201943. | −0.595333 | −0.297666 | − | 0.954670i | ||||||
−0.297666 | + | 0.954670i | ||||||||
48326.6 | + | 36150.5i | 0.140306 | + | 0.104955i | |||||
0 | 0 | |||||||||
429753. | + | 142952.i | 1.21046 | + | 0.402643i | |||||
300699.i | 0.834337i | 0.908829 | + | 0.417168i | ||||||
−0.908829 | + | 0.417168i | ||||||||
−397499. | + | 276298.i | −1.08658 | + | 0.755275i | |||||
−164052. | −0.441840 | |||||||||
0 | 0 | |||||||||
− | 1.57936e6i | − | 4.13040i | |||||||
211730. | + | 158383.i | 0.545709 | + | 0.408214i | |||||
100504. | 0.255311 | 0.127656 | − | 0.991819i | ||||||
0.127656 | + | 0.991819i | ||||||||
404847. | − | 1.21708e6i | 1.01372 | − | 3.04752i | |||||
0 | 0 | |||||||||
178715. | − | 52611.6i | 0.434891 | − | 0.128026i | |||||
617194.i | 1.48077i | |||||||||
−438214. | − | 145766.i | −1.03666 | − | 0.344832i | |||||
554078.i | 1.29252i | 0.763116 | + | 0.646262i | ||||||
−0.763116 | + | 0.646262i | ||||||||
0 | 0 | |||||||||
227592.i | 0.516368i | 0.966096 | + | 0.258184i | ||||||
−0.966096 | + | 0.258184i | ||||||||
73427.5 | − | 220743.i | 0.164316 | − | 0.493980i | |||||
− | 392692.i | − | 0.866811i | |||||||
−658031. | + | 457392.i | −1.43285 | + | 0.995964i | |||||
0 | 0 | |||||||||
1.07540e6 | + | 357719.i | 2.27923 | + | 0.758158i | |||||
−112064. | −0.234349 | |||||||||
−109802. | + | 146786.i | −0.226577 | + | 0.302893i | |||||
− | 1.04393e6i | − | 2.12577i | |||||||
0 | 0 | |||||||||
796597. | 1.57999 | 0.789997 | − | 0.613111i | ||||||
0.789997 | + | 0.613111i | ||||||||
−338041. | + | 909238.i | −0.661783 | + | 1.78002i | |||||
− | 356611.i | − | 0.689131i | −0.938762 | − | 0.344565i | ||||
0.938762 | − | 0.344565i | ||||||||
−39682.3 | + | 119296.i | −0.0756994 | + | 0.227573i | |||||
0 | 0 | |||||||||
221554. | + | 165732.i | 0.411945 | + | 0.308153i | |||||
−226534. | −0.415880 | −0.207940 | − | 0.978142i | ||||||
−0.207940 | + | 0.978142i | ||||||||
−205740. | + | 618511.i | −0.372955 | + | 1.12120i | |||||
177886. | 0.318427 | 0.159213 | − | 0.987244i | ||||||
0.159213 | + | 0.987244i | ||||||||
0 | 0 | |||||||||
285447. | 0.498350 | |||||||||
69444.9 | − | 208770.i | 0.119746 | − | 0.359990i | |||||
691917. | 1.17846 | |||||||||
349521. | − | 467247.i | 0.588028 | − | 0.786087i | |||||
0 | 0 | |||||||||
−313842. | + | 943495.i | −0.515280 | + | 1.54907i | |||||
− | 2.80392e6i | − | 4.54820i | |||||||
−131646. | − | 447188.i | −0.210985 | − | 0.716691i | |||||
−453671. | −0.718415 | |||||||||
0 | 0 | |||||||||
− | 525263.i | − | 0.812215i | −0.913825 | − | 0.406107i | ||||
0.913825 | − | 0.406107i | ||||||||
829310. | + | 620361.i | 1.26729 | + | 0.947992i | |||||
−979528. | −1.47934 | |||||||||
−688041. | − | 228868.i | −1.02702 | − | 0.341626i | |||||
0 | 0 | |||||||||
−1.19394e6 | − | 1.71767e6i | −1.74119 | − | 2.50498i | |||||
611372.i | 0.881366i | |||||||||
88500.0 | − | 266055.i | 0.126125 | − | 0.379167i | |||||
− | 550494.i | − | 0.775607i | |||||||
0 | 0 | |||||||||
280411.i | 0.386202i | |||||||||
−764100. | − | 254168.i | −1.04056 | − | 0.346130i | |||||
711308.i | 0.957846i | 0.877857 | + | 0.478923i | ||||||
−0.877857 | + | 0.478923i | ||||||||
−522967. | − | 18219.5i | −0.696393 | − | 0.0242614i | |||||
0 | 0 | |||||||||
164940. | − | 495854.i | 0.214810 | − | 0.645777i | |||||
−216347. | −0.278668 | −0.139334 | − | 0.990245i | ||||||
−0.139334 | + | 0.990245i | ||||||||
1.41497e6 | − | 1.89156e6i | 1.80265 | − | 2.40981i | |||||
759408.i | 0.956944i | 0.878103 | + | 0.478472i | ||||||
−0.878103 | + | 0.478472i | ||||||||
0 | 0 | |||||||||
−486535. | −0.599907 | |||||||||
1.13848e6 | − | 791344.i | 1.38868 | − | 0.965262i | |||||
860736.i | 1.03868i | 0.854569 | + | 0.519338i | ||||||
−0.854569 | + | 0.519338i | ||||||||
1.54766e6 | + | 514810.i | 1.84772 | + | 0.614621i | |||||
0 | 0 | |||||||||
−399627. | + | 534229.i | −0.467062 | + | 0.624378i | |||||
−1.30850e6 | −1.51323 | |||||||||
298681. | + | 99352.4i | 0.341794 | + | 0.113694i | |||||
348130. | 0.394228 | 0.197114 | − | 0.980381i | ||||||
0.197114 | + | 0.980381i | ||||||||
0 | 0 | |||||||||
−844167. | −0.936237 | −0.468119 | − | 0.883666i | ||||||
−0.468119 | + | 0.883666i | ||||||||
−686804. | − | 228457.i | −0.753866 | − | 0.250764i | |||||
2.76295e6 | 3.00163 | |||||||||
254264. | − | 339905.i | 0.273408 | − | 0.365497i | |||||
0 | 0 | |||||||||
−299687. | − | 99687.0i | −0.315740 | − | 0.105027i | |||||
1.13519e6i | 1.18393i | |||||||||
699224. | + | 1.00595e6i | 0.721917 | + | 1.03859i | |||||
−2.37014e6 | −2.42256 | |||||||||
0 | 0 | |||||||||
1.52042e6i | 1.52328i | 0.648000 | + | 0.761640i | ||||||
−0.648000 | + | 0.761640i | ||||||||
1.09670e6 | − | 1.46609e6i | 1.08790 | − | 1.45432i | |||||
−805423. | −0.791085 | |||||||||
−244955. | + | 736403.i | −0.238233 | + | 0.716195i | |||||
0 | 0 | |||||||||
−881323. | + | 568138.i | −0.840496 | + | 0.541818i | |||||
682391.i | 0.644466i | 0.946660 | + | 0.322233i | ||||||
−0.946660 | + | 0.322233i | ||||||||
−1.31299e6 | − | 436751.i | −1.22804 | − | 0.408493i | |||||
− | 434395.i | − | 0.402379i | |||||||
0 | 0 | |||||||||
4.85112e6i | 4.40799i | |||||||||
−164099. | + | 493326.i | −0.147690 | + | 0.443997i | |||||
− | 91394.4i | − | 0.0814761i | −0.999170 | − | 0.0407381i | ||||
0.999170 | − | 0.0407381i | ||||||||
−800541. | + | 556449.i | −0.706925 | + | 0.491378i | |||||
0 | 0 | |||||||||
1.20915e6 | + | 402209.i | 1.04780 | + | 0.348536i | |||||
2.41680e6 | 2.07474 | |||||||||
247076. | + | 184824.i | 0.210133 | + | 0.157189i | |||||
935475.i | 0.788227i | 0.919062 | + | 0.394114i | ||||||
−0.919062 | + | 0.394114i | ||||||||
0 | 0 | |||||||||
512294. | 0.423737 | 0.211868 | − | 0.977298i | ||||||
0.211868 | + | 0.977298i | ||||||||
605076. | − | 178127.i | 0.495892 | − | 0.145984i | |||||
1.21742e6i | 0.988634i | |||||||||
394075. | − | 1.18470e6i | 0.317105 | − | 0.953304i | |||||
0 | 0 | |||||||||
2.51206e6 | − | 3.35817e6i | 1.98499 | − | 2.65357i | |||||
−615832. | −0.482239 | −0.241120 | − | 0.970495i | ||||||
−0.241120 | + | 0.970495i | ||||||||
275636. | − | 828638.i | 0.213907 | − | 0.643062i | |||||
−4.28641e6 | −3.29673 | |||||||||
0 | 0 | |||||||||
1.22082e6 | 0.922330 | 0.461165 | − | 0.887314i | ||||||
0.461165 | + | 0.887314i | ||||||||
302786. | − | 910258.i | 0.226732 | − | 0.681619i | |||||
−696315. | −0.516820 | −0.258410 | − | 0.966035i | ||||||
−0.258410 | + | 0.966035i | ||||||||
−847858. | − | 634235.i | −0.623774 | − | 0.466611i | |||||
0 | 0 | |||||||||
147879. | − | 444564.i | 0.106903 | − | 0.321380i | |||||
− | 170374.i | − | 0.122095i | |||||||
127739. | − | 3.66659e6i | 0.0907493 | − | 2.60484i | |||||
1.04044e6 | 0.732779 | |||||||||
0 | 0 | |||||||||
− | 657931.i | − | 0.455457i | |||||||
356439. | − | 476495.i | 0.244641 | − | 0.327040i | |||||
134741. | 0.0916922 | 0.0458461 | − | 0.998949i | ||||||
0.0458461 | + | 0.998949i | ||||||||
−1.37392e6 | − | 457016.i | −0.927025 | − | 0.308363i | |||||
0 | 0 | |||||||||
−496817. | − | 714750.i | −0.329584 | − | 0.474160i | |||||
− | 2.10241e6i | − | 1.38301i | |||||||
273137. | − | 821126.i | 0.178172 | − | 0.535636i | |||||
2.01536e6i | 1.30369i | |||||||||
0 | 0 | |||||||||
− | 746444.i | − | 0.474877i | |||||||
2.36438e6 | + | 786483.i | 1.49177 | + | 0.496217i | |||||
1.15139e6i | 0.720472i | |||||||||
2.44953e6 | − | 721112.i | 1.52020 | − | 0.447526i | |||||
0 | 0 | |||||||||
−696572. | + | 2.09409e6i | −0.425268 | + | 1.27847i | |||||
280871. | 0.170083 | 0.0850414 | − | 0.996377i | ||||||
0.0850414 | + | 0.996377i | ||||||||
−421134. | − | 315027.i | −0.252955 | − | 0.189222i | |||||
− | 5.20348e6i | − | 3.10026i | |||||||
0 | 0 | |||||||||
−2.40348e6 | −1.40909 | −0.704547 | − | 0.709657i | ||||||
−0.704547 | + | 0.709657i | ||||||||
1.39236e6 | + | 2.00314e6i | 0.809779 | + | 1.16500i | |||||
619525.i | 0.357436i | 0.983900 | + | 0.178718i | ||||||
−0.983900 | + | 0.178718i | ||||||||
−2.32625e6 | − | 773798.i | −1.33147 | − | 0.442898i | |||||
0 | 0 | |||||||||
−1.13261e6 | − | 847245.i | −0.638063 | − | 0.477300i | |||||
−913021. | −0.510308 | −0.255154 | − | 0.966900i | ||||||
−0.255154 | + | 0.966900i | ||||||||
−5.14278e6 | − | 1.71068e6i | −2.85187 | − | 0.948639i | |||||
1.39348e6 | 0.766698 | |||||||||
0 | 0 | |||||||||
3.79462e6 | 2.05545 | |||||||||
2.14666e6 | + | 714061.i | 1.15378 | + | 0.383792i | |||||
−1.53599e6 | −0.819185 | |||||||||
4.82218e6 | + | 3.60721e6i | 2.55200 | + | 1.90901i | |||||
0 | 0 | |||||||||
1.08397e6 | + | 360568.i | 0.564900 | + | 0.187907i | |||||
1.46733e6i | 0.758852i | |||||||||
−194856. | − | 280331.i | −0.100007 | − | 0.143875i | |||||
517487. | 0.263578 | |||||||||
0 | 0 | |||||||||
− | 3.37863e6i | − | 1.69500i | −0.530793 | − | 0.847502i | ||||
0.530793 | − | 0.847502i | ||||||||
−2.05154e6 | − | 1.53464e6i | −1.02149 | − | 0.764120i | |||||
3.04560e6 | 1.50509 | |||||||||
536896. | − | 1.61406e6i | 0.263345 | − | 0.791686i | |||||
0 | 0 | |||||||||
2.62698e6 | − | 773349.i | 1.26943 | − | 0.373704i | |||||
− | 3.19536e6i | − | 1.53266i | −0.642448 | − | 0.766329i | ||||
0.642448 | − | 0.766329i | ||||||||
880579. | + | 292914.i | 0.419254 | + | 0.139459i | |||||
2.73469e6i | 1.29244i | |||||||||
0 | 0 | |||||||||
1.23127e6i | 0.573412i | |||||||||
−2.81994e6 | + | 8.47752e6i | −1.30369 | + | 3.91926i | |||||
− | 2.29936e6i | − | 1.05529i | |||||||
−853706. | − | 1.22819e6i | −0.388966 | − | 0.559591i | |||||
0 | 0 | |||||||||
−539476. | − | 179450.i | −0.242260 | − | 0.0805847i | |||||
−2.15234e6 | −0.959592 | −0.479796 | − | 0.877380i | ||||||
−0.479796 | + | 0.877380i | ||||||||
−4.34618e6 | + | 5.81006e6i | −1.92380 | + | 2.57177i | |||||
2.78827e6i | 1.22538i | 0.790322 | + | 0.612692i | ||||||
−0.790322 | + | 0.612692i | ||||||||
0 | 0 | |||||||||
−5.26072e6 | −2.27917 | |||||||||
−1.05323e6 | − | 36693.0i | −0.453069 | − | 0.0157843i | |||||
3.23259e6i | 1.38075i | 0.723453 | + | 0.690373i | ||||||
−0.723453 | + | 0.690373i | ||||||||
1.10199e6 | − | 3.31290e6i | 0.467381 | − | 1.40508i | |||||
0 | 0 | |||||||||
2.09193e6 | + | 1.56486e6i | 0.874826 | + | 0.654409i | |||||
−1.64726e6 | −0.684055 | |||||||||
989303. | − | 2.97412e6i | 0.407964 | − | 1.22645i | |||||
2.02100e6 | 0.827620 | 0.413810 | − | 0.910363i | ||||||
0.413810 | + | 0.910363i | ||||||||
0 | 0 | |||||||||
−3.74207e6 | −1.51128 | |||||||||
406363. | − | 1.22164e6i | 0.162983 | − | 0.489972i | |||||
3.78780e6 | 1.50876 | |||||||||
−788271. | + | 1.05378e6i | −0.311833 | + | 0.416864i | |||||
0 | 0 | |||||||||
−701149. | + | 2.10785e6i | −0.273595 | + | 0.822500i | |||||
2.50488e6i | 0.970781i | 0.874297 | + | 0.485391i | ||||||
−0.874297 | + | 0.485391i | ||||||||
4.34877e6 | − | 1.28022e6i | 1.67397 | − | 0.492795i | |||||
1.19451e6 | 0.456693 | |||||||||
0 | 0 | |||||||||
− | 2.92370e6i | − | 1.10280i | |||||||
−5.13371e6 | − | 3.84024e6i | −1.92342 | − | 1.43880i | |||||
−495172. | −0.184283 | −0.0921413 | − | 0.995746i | ||||||
−0.0921413 | + | 0.995746i | ||||||||
601525. | + | 200090.i | 0.222369 | + | 0.0739684i | |||||
0 | 0 | |||||||||
851468. | − | 591848.i | 0.310598 | − | 0.215894i | |||||
− | 3.48682e6i | − | 1.26350i | |||||||
−1.86392e6 | + | 5.60347e6i | −0.670963 | + | 2.01710i | |||||
2.19040e6i | 0.783294i | 0.920116 | + | 0.391647i | ||||||
−0.920116 | + | 0.391647i | ||||||||
0 | 0 | |||||||||
− | 4.06135e6i | − | 1.43337i | |||||||
−4.27588e6 | − | 1.42232e6i | −1.49923 | − | 0.498699i | |||||
289759.i | 0.100935i | 0.998726 | + | 0.0504674i | ||||||
−0.998726 | + | 0.0504674i | ||||||||
3.43793e6 | − | 4.27693e6i | 1.18979 | − | 1.48014i | |||||
0 | 0 | |||||||||
−636726. | + | 1.91417e6i | −0.217513 | + | 0.653903i | |||||
5.23342e6 | 1.77627 | |||||||||
426004. | − | 569490.i | 0.143659 | − | 0.192047i | |||||
2.11554e6i | 0.708839i | 0.935087 | + | 0.354420i | ||||||
−0.935087 | + | 0.354420i | ||||||||
0 | 0 | |||||||||
−2.72692e6 | −0.902048 | |||||||||
−893317. | − | 1.28518e6i | −0.293623 | − | 0.422424i | |||||
− | 2.72075e6i | − | 0.888601i | |||||||
1.21596e6 | + | 404475.i | 0.394621 | + | 0.131266i | |||||
0 | 0 | |||||||||
2.20869e6 | − | 2.95263e6i | 0.707779 | − | 0.946173i | |||||
1.80742e6 | 0.575549 | 0.287774 | − | 0.957698i | ||||||
0.287774 | + | 0.957698i | ||||||||
−954837. | − | 317615.i | −0.302149 | − | 0.100506i | |||||
−6.66861e6 | −2.09702 | |||||||||
0 | 0 | |||||||||
−2.59111e6 | −0.804683 | −0.402342 | − | 0.915490i | ||||||
−0.402342 | + | 0.915490i | ||||||||
−1.53219e6 | − | 509663.i | −0.472875 | − | 0.157296i | |||||
3.08092e6 | 0.944969 | |||||||||
−745516. | + | 996620.i | −0.227250 | + | 0.303792i | |||||
0 | 0 | |||||||||
−3.71399e6 | − | 1.23541e6i | −1.11822 | − | 0.371961i | |||||
− | 874847.i | − | 0.261786i | |||||||
−2.71038e6 | + | 1.88396e6i | −0.806084 | + | 0.560302i | |||||
5.00884e6 | 1.48057 | 0.740285 | − | 0.672293i | ||||||
0.740285 | + | 0.672293i | ||||||||
0 | 0 | |||||||||
6.53375e6i | 1.90791i | |||||||||
3.36921e6 | − | 4.50402e6i | 0.977878 | − | 1.30725i | |||||
1.88340e6 | 0.543335 | |||||||||
−5.00638e6 | + | 1.50505e7i | −1.43556 | + | 4.31570i | |||||
0 | 0 | |||||||||
−91814.5 | + | 2.63542e6i | −0.0260122 | + | 0.746648i | |||||
4.57003e6i | 1.28700i | |||||||||
2.43516e6 | + | 810026.i | 0.681690 | + | 0.226756i | |||||
− | 2.27862e6i | − | 0.634071i | −0.948414 | − | 0.317035i | ||||
0.948414 | − | 0.317035i | ||||||||
0 | 0 | |||||||||
− | 1.30407e6i | − | 0.358587i | −0.983796 | − | 0.179293i | ||||
0.983796 | − | 0.179293i | ||||||||
−937853. | + | 2.81945e6i | −0.256362 | + | 0.770695i | |||||
3.62817e6i | 0.985907i | |||||||||
−3.34382e6 | − | 4.81063e6i | −0.903293 | − | 1.29953i | |||||
0 | 0 | |||||||||
5.25780e6 | + | 1.74894e6i | 1.40372 | + | 0.466929i | |||||
−1.19832e6 | −0.318056 | |||||||||
3.28454e6 | + | 2.45698e6i | 0.866693 | + | 0.648325i | |||||
2.45182e6i | 0.643200i | |||||||||
0 | 0 | |||||||||
3.93997e6 | 1.02164 | 0.510822 | − | 0.859687i | ||||||
0.510822 | + | 0.859687i | ||||||||
3.34179e6 | + | 1.13517e7i | 0.861528 | + | 2.92651i | |||||
5.84454e6i | 1.49806i | 0.662534 | + | 0.749032i | ||||||
−0.662534 | + | 0.749032i | ||||||||
1.09160e6 | − | 3.28165e6i | 0.278189 | − | 0.836311i | |||||
0 | 0 | |||||||||
−950080. | + | 1.27008e6i | −0.239356 | + | 0.319975i | |||||
−1.10394e7 | −2.76530 | |||||||||
−982902. | + | 2.95487e6i | −0.244808 | + | 0.735959i | |||||
7.63016e6 | 1.88961 | 0.944805 | − | 0.327634i | ||||||
0.944805 | + | 0.327634i | ||||||||
0 | 0 | |||||||||
5.47624e6 | 1.34087 | |||||||||
500672. | − | 1.50516e6i | 0.121898 | − | 0.366460i | |||||
−1.99010e6 | −0.481798 | −0.240899 | − | 0.970550i | ||||||
−0.240899 | + | 0.970550i | ||||||||
3.64763e6 | + | 2.72859e6i | 0.878119 | + | 0.656872i | |||||
0 | 0 | |||||||||
1.27004e6 | − | 3.81808e6i | 0.302328 | − | 0.908882i | |||||
4.52861e6i | 1.07200i | |||||||||
2.77459e6 | + | 1.03155e6i | 0.653137 | + | 0.242826i | |||||
2.05507e6 | 0.481074 | 0.240537 | − | 0.970640i | ||||||
0.240537 | + | 0.970640i | ||||||||
0 | 0 | |||||||||
− | 343122.i | − | 0.0794342i | |||||||
−1.77069e6 | + | 2.36709e6i | −0.407658 | + | 0.544965i | |||||
−1.30398e7 | −2.98557 | |||||||||
1.16128e6 | + | 386287.i | 0.264423 | + | 0.0879569i | |||||
0 | 0 | |||||||||
−1.09725e7 | + | 7.62687e6i | −2.47111 | + | 1.71765i | |||||
2.74689e6i | 0.615250i | 0.951508 | + | 0.307625i | ||||||
−0.951508 | + | 0.307625i | ||||||||
1.35592e6 | − | 4.07626e6i | 0.302044 | − | 0.908026i | |||||
− | 7.11811e6i | − | 1.57700i | |||||||
0 | 0 | |||||||||
− | 4.01666e6i | − | 0.880264i | −0.897933 | − | 0.440132i | ||||
0.897933 | − | 0.440132i | ||||||||
2.61157e6 | + | 868705.i | 0.569241 | + | 0.189351i | |||||
− | 7.77791e6i | − | 1.68620i | −0.537753 | − | 0.843102i | ||||
0.537753 | − | 0.843102i | ||||||||
−7.52391e6 | + | 2.21494e6i | −1.62237 | + | 0.477604i | |||||
0 | 0 | |||||||||
1.53684e6 | − | 4.62015e6i | 0.327841 | − | 0.985580i | |||||
−3.81432e6 | −0.809329 | −0.404664 | − | 0.914465i | ||||||
−0.404664 | + | 0.914465i | ||||||||
−7.38816e6 | − | 5.52667e6i | −1.55927 | − | 1.16640i | |||||
− | 871056.i | − | 0.182858i | |||||||
0 | 0 | |||||||||
1.28295e7 | 2.66476 | |||||||||
3.09893e6 | − | 2.15404e6i | 0.640261 | − | 0.445040i | |||||
− | 1.50330e6i | − | 0.308952i | |||||||
7.02364e6 | + | 2.33633e6i | 1.43587 | + | 0.477625i | |||||
0 | 0 | |||||||||
−1.42583e6 | − | 1.06658e6i | −0.288437 | − | 0.215763i | |||||
2.04984e7 | 4.12500 | |||||||||
−1.86865e6 | − | 621584.i | −0.374075 | − | 0.124431i | |||||
2.44255e6 | 0.486413 | 0.243206 | − | 0.969975i | ||||||
0.243206 | + | 0.969975i | ||||||||
0 | 0 | |||||||||
−2.18907e6 | −0.431417 | |||||||||
4.53122e6 | + | 1.50725e6i | 0.888378 | + | 0.295508i | |||||
−1.18391e7 | −2.30914 | |||||||||
3.27864e6 | + | 2.45257e6i | 0.636180 | + | 0.475891i | |||||
0 | 0 | |||||||||
−1.48307e7 | − | 4.93323e6i | −2.84819 | − | 0.947416i | |||||
− | 8.35163e6i | − | 1.59569i | −0.602862 | − | 0.797846i | ||||
0.602862 | − | 0.797846i | ||||||||
−1.97171e6 | + | 1.37052e6i | −0.374795 | + | 0.260516i | |||||
−5.97820e6 | −1.13057 | |||||||||
0 | 0 | |||||||||
340069.i | 0.0636595i | 0.999493 | + | 0.0318298i | ||||||
−0.999493 | + | 0.0318298i | ||||||||
1.43063e6 | + | 1.07018e6i | 0.266450 | + | 0.199316i | |||||
4.71790e6 | 0.874241 | |||||||||
2.02688e6 | − | 6.09335e6i | 0.373688 | − | 1.12341i | |||||
0 | 0 | |||||||||
−1.95710e6 | − | 6.64806e6i | −0.357199 | − | 1.21336i | |||||
2.98909e6i | 0.542810i | |||||||||
1.27221e7 | + | 4.23186e6i | 2.29872 | + | 0.764642i | |||||
648994.i | 0.116678i | 0.998297 | + | 0.0583391i | ||||||
−0.998297 | + | 0.0583391i | ||||||||
0 | 0 | |||||||||
8.90172e6i | 1.58445i | |||||||||
2.71470e6 | − | 8.16114e6i | 0.480798 | − | 1.44541i | |||||
3.13514e6i | 0.552506i | 0.961085 | + | 0.276253i | ||||||
−0.961085 | + | 0.276253i | ||||||||
−8.50445e6 | + | 5.91137e6i | −1.49132 | + | 1.03660i | |||||
0 | 0 | |||||||||
4.32326e6 | + | 1.43808e6i | 0.750645 | + | 0.249693i | |||||
−4.85650e6 | −0.839080 | |||||||||
2.62968e6 | − | 3.51541e6i | 0.452110 | − | 0.604390i | |||||
− | 5.04542e6i | − | 0.863183i | −0.902069 | − | 0.431591i | ||||
0.902069 | − | 0.431591i | ||||||||
0 | 0 | |||||||||
−1.67986e6 | −0.284591 | |||||||||
5.74507e6 | − | 1.47599e6i | 0.968546 | − | 0.248833i | |||||
− | 2.88163e7i | − | 4.83443i | |||||||
1.21840e6 | − | 3.66286e6i | 0.203415 | − | 0.611522i | |||||
0 | 0 | |||||||||
6.26792e6 | + | 4.68868e6i | 1.03633 | + | 0.775223i | |||||
1.04219e6 | 0.171482 | |||||||||
−775610. | + | 2.33170e6i | −0.127004 | + | 0.381810i | |||||
2.97527e6 | 0.484851 | |||||||||
0 | 0 | |||||||||
598792. | 0.0966456 | 0.0483228 | − | 0.998832i | ||||||
0.0483228 | + | 0.998832i | ||||||||
8.66165e6 | − | 2.60393e7i | 1.39131 | − | 4.18266i | |||||
−1.12334e7 | −1.79580 | −0.897901 | − | 0.440197i | ||||||
−0.897901 | + | 0.440197i | ||||||||
1.76166e6 | − | 2.35502e6i | 0.280281 | − | 0.374685i | |||||
0 | 0 | |||||||||
−163184. | + | 490576.i | −0.0257166 | + | 0.0773111i | |||||
4.16869e6i | 0.653843i | |||||||||
5.29058e6 | − | 1.55748e6i | 0.825884 | − | 0.243130i | |||||
−1.31624e7 | −2.04502 | |||||||||
0 | 0 | |||||||||
1.32048e7i | 2.03233i | |||||||||
−5.77220e6 | − | 4.31786e6i | −0.884224 | − | 0.661439i | |||||
−858572. | −0.130906 | |||||||||
−1.29726e7 | − | 4.31518e6i | −1.96868 | − | 0.654856i | |||||
0 | 0 | |||||||||
−996225. | − | 1.43323e6i | −0.149777 | − | 0.215478i | |||||
1.64026e7i | 2.45458i | |||||||||
1.67028e6 | − | 5.02133e6i | 0.248791 | − | 0.747934i | |||||
− | 1.57305e6i | − | 0.233222i | |||||||
0 | 0 | |||||||||
− | 8.05017e6i | − | 1.18253i | −0.806478 | − | 0.591264i | ||||
0.806478 | − | 0.591264i | ||||||||
−2.74983e6 | − | 914697.i | −0.402076 | − | 0.133746i | |||||
6.73748e6i | 0.980614i | |||||||||
−3.56590e6 | − | 124231.i | −0.516620 | − | 0.0179984i | |||||
0 | 0 | |||||||||
2.17370e6 | − | 6.53475e6i | 0.312046 | − | 0.938096i | |||||
−6.14990e6 | −0.878819 | −0.439410 | − | 0.898287i | ||||||
−0.439410 | + | 0.898287i | ||||||||
−4.23054e6 | + | 5.65547e6i | −0.601789 | + | 0.804483i | |||||
− | 8.40159e6i | − | 1.18968i | |||||||
0 | 0 | |||||||||
1.90995e7 | 2.68005 | |||||||||
−1.94800e7 | + | 1.35403e7i | −2.72107 | + | 1.89139i | |||||
3.99298e6i | 0.555244i | |||||||||
3.30559e6 | + | 1.09956e6i | 0.457588 | + | 0.152211i | |||||
0 | 0 | |||||||||
−2.95905e6 | + | 3.95572e6i | −0.405944 | + | 0.542673i | |||||
6.26714e6 | 0.855917 | 0.427959 | − | 0.903798i | ||||||
0.427959 | + | 0.903798i | ||||||||
2.30081e7 | + | 7.65335e6i | 3.12820 | + | 1.04056i | |||||
−3.76160e6 | −0.509146 | |||||||||
0 | 0 | |||||||||
−3.31748e6 | −0.445042 | |||||||||
−6.55298e6 | − | 2.17977e6i | −0.875182 | − | 0.291118i | |||||
149874. | 0.0199276 | 0.00996378 | − | 0.999950i | ||||||
0.00996378 | + | 0.999950i | ||||||||
−3.25052e6 | + | 4.34535e6i | −0.430283 | + | 0.575211i | |||||
0 | 0 | |||||||||
3.73760e6 | + | 1.24327e6i | 0.490401 | + | 0.163126i | |||||
− | 1.70004e7i | − | 2.22076i | |||||||
3.41861e6 | + | 4.91822e6i | 0.444609 | + | 0.639642i | |||||
−2.10351e6 | −0.272373 | −0.136186 | − | 0.990683i | ||||||
−0.136186 | + | 0.990683i | ||||||||
0 | 0 | |||||||||
− | 8.72030e6i | − | 1.11929i | −0.828734 | − | 0.559643i | ||||
0.828734 | − | 0.559643i | ||||||||
−1.58753e6 | + | 2.12224e6i | −0.202877 | + | 0.271210i | |||||
2.35820e7 | 3.00050 | |||||||||
−304201. | + | 914511.i | −0.0385372 | + | 0.115854i | |||||
0 | 0 | |||||||||
−7.23234e6 | + | 1.94530e7i | −0.908285 | + | 2.44304i | |||||
− | 5.44606e6i | − | 0.680993i | −0.940246 | − | 0.340497i | ||||
0.940246 | − | 0.340497i | ||||||||
−5.58476e6 | − | 1.85770e6i | −0.695321 | − | 0.231290i | |||||
− | 1.05569e7i | − | 1.30870i | |||||||
0 | 0 | |||||||||
7.23261e6i | 0.888904i | |||||||||
−1.17473e6 | + | 3.53156e6i | −0.143758 | + | 0.432175i | |||||
− | 5.88816e6i | − | 0.717477i | |||||||
−2.76403e6 | + | 1.92125e6i | −0.335360 | + | 0.233106i | |||||
0 | 0 | |||||||||
−723249. | − | 240580.i | −0.0870050 | − | 0.0289411i | |||||
−1.53801e6 | −0.184232 | −0.0921158 | − | 0.995748i | ||||||
−0.0921158 | + | 0.995748i | ||||||||
6.55874e6 | + | 4.90623e6i | 0.782307 | + | 0.585201i | |||||
1.68762e7i | 2.00441i | |||||||||
0 | 0 | |||||||||
−6.70618e6 | −0.789781 | |||||||||
1.39057e6 | + | 4.72361e6i | 0.163076 | + | 0.553950i | |||||
1.23546e7i | 1.44275i | 0.692542 | + | 0.721377i | ||||||
−0.692542 | + | 0.721377i | ||||||||
−3.75383e6 | + | 1.12851e7i | −0.436525 | + | 1.31231i | |||||
0 | 0 | |||||||||
−2.93223e6 | + | 3.91986e6i | −0.338129 | + | 0.452017i | |||||
5.26604e6 | 0.604711 | |||||||||
3.59841e6 | − | 1.08178e7i | 0.411488 | − | 1.23705i | |||||
1.46319e7 | 1.66622 | 0.833112 | − | 0.553105i | ||||||
0.833112 | + | 0.553105i | ||||||||
0 | 0 | |||||||||
−1.08262e7 | −1.22261 | −0.611306 | − | 0.791394i | ||||||
−0.611306 | + | 0.791394i | ||||||||
−1.33277e6 | + | 4.00668e6i | −0.149887 | + | 0.450602i | |||||
6.10709e6 | 0.683976 | |||||||||
−1.12870e7 | − | 8.44318e6i | −1.25889 | − | 0.941702i | |||||
0 | 0 | |||||||||
2.05580e6 | − | 6.18031e6i | 0.227405 | − | 0.683642i | |||||
722652.i | 0.0796082i | 0.999208 | + | 0.0398041i | ||||||
−0.999208 | + | 0.0398041i | ||||||||
−1.44359e7 | − | 502927.i | −1.58374 | − | 0.0551754i | |||||
2.04831e7 | 2.23796 | |||||||||
0 | 0 | |||||||||
− | 2.60780e6i | − | 0.282599i | |||||||
7.47796e6 | − | 9.99668e6i | 0.807058 | − | 1.07889i | |||||
−1.19951e6 | −0.128930 | −0.0644648 | − | 0.997920i | ||||||
−0.0644648 | + | 0.997920i | ||||||||
−1.50762e6 | − | 501492.i | −0.161388 | − | 0.0536838i | |||||
0 | 0 | |||||||||
1.69804e6 | + | 2.44290e6i | 0.180300 | + | 0.259390i | |||||
− | 1.26945e7i | − | 1.34246i | −0.741249 | − | 0.671230i | ||||
0.741249 | − | 0.671230i | ||||||||
−9.29078e6 | + | 2.79307e7i | −0.978546 | + | 2.94178i | |||||
− | 9.69565e6i | − | 1.01707i | −0.861042 | − | 0.508534i | ||||
0.861042 | − | 0.508534i | ||||||||
0 | 0 | |||||||||
− | 5.11590e7i | − | 5.32344i | |||||||
1.29011e7 | + | 4.29140e6i | 1.33706 | + | 0.444757i | |||||
− | 7.37501e6i | − | 0.761276i | |||||||
−3.89718e6 | − | 1.32383e7i | −0.400672 | − | 1.36104i | |||||
0 | 0 | |||||||||
1.10616e6 | − | 3.32541e6i | 0.112819 | − | 0.339164i | |||||
−1.34302e7 | −1.36431 | |||||||||
1.11050e7 | + | 8.30700e6i | 1.12362 | + | 0.840515i | |||||
− | 2.96196e6i | − | 0.298506i | |||||||
0 | 0 | |||||||||
2.38091e6 | 0.238051 | 0.119025 | − | 0.992891i | ||||||
0.119025 | + | 0.992891i | ||||||||
4.56676e6 | + | 6.57001e6i | 0.454794 | + | 0.654295i | |||||
− | 1.55496e7i | − | 1.54244i | |||||||
4.90081e6 | + | 1.63019e6i | 0.484222 | + | 0.161070i | |||||
0 | 0 | |||||||||
2.45504e7 | + | 1.83648e7i | 2.40666 | + | 1.80029i | |||||
−3.93613e6 | −0.384345 | |||||||||
−7.47977e6 | − | 2.48805e6i | −0.727506 | − | 0.241996i | |||||
−2.09569e7 | −2.03037 | |||||||||
0 | 0 | |||||||||
6.37112e6 | 0.612450 | 0.306225 | − | 0.951959i | ||||||
0.306225 | + | 0.951959i | ||||||||
−2.03683e7 | − | 6.77527e6i | −1.95037 | − | 0.648768i | |||||
1.64996e7 | 1.57379 | 0.786896 | − | 0.617086i | ||||||
0.786896 | + | 0.617086i | ||||||||
−1.02477e7 | − | 7.66571e6i | −0.973666 | − | 0.728346i | |||||
0 | 0 | |||||||||
8.24471e6 | + | 2.74250e6i | 0.777310 | + | 0.258562i | |||||
2.94843e6i | 0.276905i | 0.990369 | + | 0.138452i | ||||||
−0.990369 | + | 0.138452i | ||||||||
−1.94433e7 | − | 2.79723e7i | −1.81900 | − | 2.61692i | |||||
3.79306e6 | 0.353491 | |||||||||
0 | 0 | |||||||||
1.80987e7i | 1.67376i | |||||||||
−5.17460e6 | − | 3.87083e6i | −0.476713 | − | 0.356603i | |||||
−1.02662e7 | −0.942167 | −0.471083 | − | 0.882089i | ||||||
−0.471083 | + | 0.882089i | ||||||||
2.61990e6 | − | 7.87614e6i | 0.239519 | − | 0.720061i | |||||
0 | 0 | |||||||||
545394. | + | 1.85264e6i | 0.0494824 | + | 0.168086i | |||||
− | 1.17777e7i | − | 1.06451i | |||||||
−2.77770e6 | − | 923968.i | −0.250104 | − | 0.0831941i | |||||
− | 7.94727e6i | − | 0.712860i | −0.934322 | − | 0.356430i | ||||
0.934322 | − | 0.356430i | ||||||||
0 | 0 | |||||||||
9.79140e6i | 0.871648i | 0.900032 | + | 0.435824i | ||||||
−0.900032 | + | 0.435824i | ||||||||
−6.03252e6 | + | 1.81354e7i | −0.535000 | + | 1.60836i | |||||
8.30112e6i | 0.733420i | |||||||||
8.27191e6 | + | 1.19005e7i | 0.728091 | + | 1.04748i | |||||
0 | 0 | |||||||||
−1.63478e7 | − | 5.43790e6i | −1.42815 | − | 0.475057i | |||||
3.39083e7 | 2.95115 | |||||||||
−5.76378e6 | + | 7.70513e6i | −0.499765 | + | 0.668096i | |||||
2.10571e7i | 1.81901i | |||||||||
0 | 0 | |||||||||
−2.41335e6 | −0.206926 | |||||||||
−1.54816e7 | − | 539359.i | −1.32249 | − | 0.0460739i | |||||
− | 1.64861e7i | − | 1.40307i | −0.712635 | − | 0.701535i | ||||
0.712635 | − | 0.701535i | ||||||||
−5.70530e6 | + | 1.71517e7i | −0.483758 | + | 1.45431i | |||||
0 | 0 | |||||||||
−4.20368e6 | − | 3.14454e6i | −0.353804 | − | 0.264661i | |||||
2.81251e6 | 0.235843 | 0.117922 | − | 0.993023i | ||||||
0.117922 | + | 0.993023i | ||||||||
4.88277e6 | − | 1.46790e7i | 0.407936 | − | 1.22637i | |||||
−2.00771e6 | −0.167120 | |||||||||
0 | 0 | |||||||||
−6.40461e6 | −0.529206 | |||||||||
2.19842e6 | − | 6.60905e6i | 0.180988 | − | 0.544100i | |||||
−1.56071e7 | −1.28018 | −0.640090 | − | 0.768300i | ||||||
−0.640090 | + | 0.768300i | ||||||||
3.02731e7 | − | 4.04697e7i | 2.47410 | − | 3.30742i | |||||
0 | 0 | |||||||||
−4.10550e6 | + | 1.23423e7i | −0.333085 | + | 1.00135i | |||||
2.24811e7i | 1.81729i | |||||||||
2.38949e6 | + | 8.11684e6i | 0.192457 | + | 0.653756i | |||||
−1.47335e7 | −1.18239 | |||||||||
0 | 0 | |||||||||
1.32611e7i | 1.05654i | 0.849077 | + | 0.528269i | ||||||
−0.849077 | + | 0.528269i | ||||||||
2.57533e6 | + | 1.92646e6i | 0.204441 | + | 0.152931i | |||||
−1.04094e7 | −0.823362 | |||||||||
1.15531e7 | + | 3.84298e6i | 0.910539 | + | 0.302879i | |||||
0 | 0 | |||||||||
3.37027e7 | − | 2.34265e7i | 2.63719 | − | 1.83309i | |||||
− | 1.16171e6i | − | 0.0905763i | |||||||
4.97844e6 | − | 1.49666e7i | 0.386772 | − | 1.16274i | |||||
2.54807e7i | 1.97251i | |||||||||
0 | 0 | |||||||||
− | 2.41803e7i | − | 1.85852i | −0.369432 | − | 0.929258i | ||||
0.369432 | − | 0.929258i | ||||||||
2.82379e7 | + | 9.39297e6i | 2.16266 | + | 0.719383i | |||||
− | 1.19909e7i | − | 0.915093i | |||||||
5.58787e6 | + | 2.07748e6i | 0.424927 | + | 0.157981i | |||||
0 | 0 | |||||||||
5.77177e6 | − | 1.73515e7i | 0.435810 | − | 1.31016i | |||||
3.51354e6 | 0.264361 | |||||||||
−1.18303e7 | + | 1.58150e7i | −0.886979 | + | 1.18573i | |||||
− | 3.10586e6i | − | 0.232042i | −0.993247 | − | 0.116021i | ||||
0.993247 | − | 0.116021i | ||||||||
0 | 0 | |||||||||
−2.79953e7 | −2.07688 | |||||||||
−8.43477e6 | − | 1.21348e7i | −0.623553 | − | 0.897081i | |||||
2.99610e7i | 2.20716i | |||||||||
8.84196e6 | + | 2.94117e6i | 0.649087 | + | 0.215911i | |||||
0 | 0 | |||||||||
−1.06205e7 | + | 1.41977e7i | −0.774219 | + | 1.03499i | |||||
1.03058e7 | 0.748661 | |||||||||
−1.08481e7 | − | 3.60849e6i | −0.785313 | − | 0.261225i | |||||
7.95560e6 | 0.573919 | 0.286960 | − | 0.957943i | ||||||
0.286960 | + | 0.957943i | ||||||||
0 | 0 | |||||||||
−1.58787e7 | −1.13757 | |||||||||
2.00862e7 | + | 6.68143e6i | 1.43402 | + | 0.477009i | |||||
−2.49902e7 | −1.77797 | |||||||||
−4.36246e6 | + | 5.83181e6i | −0.309303 | + | 0.413483i | |||||
0 | 0 | |||||||||
−2.03317e7 | − | 6.76309e6i | −1.43164 | − | 0.476216i | |||||
2.50891e7i | 1.76055i | 0.474463 | + | 0.880276i | ||||||
−0.474463 | + | 0.880276i | ||||||||
6.11270e6 | − | 4.24888e6i | 0.427469 | − | 0.297130i | |||||
3.60626e7 | 2.51327 | |||||||||
0 | 0 | |||||||||
− | 5.08969e6i | − | 0.352288i | |||||||
7.52709e6 | − | 1.00624e7i | 0.519217 | − | 0.694100i | |||||
2.58258e7 | 1.77539 | 0.887694 | − | 0.460434i | ||||||
0.887694 | + | 0.460434i | ||||||||
4.47244e6 | − | 1.34454e7i | 0.306411 | − | 0.921156i | |||||
0 | 0 | |||||||||
−2.56287e7 | − | 892869.i | −1.74394 | − | 0.0607566i | |||||
− | 1.75426e6i | − | 0.118966i | |||||||
−6.41176e6 | − | 2.13279e6i | −0.433347 | − | 0.144148i | |||||
2.15950e7i | 1.45459i | 0.686323 | + | 0.727297i | ||||||
−0.686323 | + | 0.727297i | ||||||||
0 | 0 | |||||||||
3.36055e7i | 2.24835i | |||||||||
−5.22024e6 | + | 1.56935e7i | −0.348081 | + | 1.04643i | |||||
− | 1.25570e7i | − | 0.834479i | −0.908797 | − | 0.417239i | ||||
0.908797 | − | 0.417239i | ||||||||
2.06994e7 | + | 2.97794e7i | 1.37096 | + | 1.97235i | |||||
0 | 0 | |||||||||
2.65793e6 | + | 884126.i | 0.174862 | + | 0.0581657i | |||||
−5.07088e7 | −3.32492 | |||||||||
−2.87154e6 | − | 2.14804e6i | −0.187655 | − | 0.140374i | |||||
− | 1.15795e7i | − | 0.754199i | |||||||
0 | 0 | |||||||||
−5.43894e6 | −0.351896 | −0.175948 | − | 0.984399i | ||||||
−0.175948 | + | 0.984399i | ||||||||
−5.62715e6 | + | 1.65656e6i | −0.362864 | + | 0.106823i | |||||
4.50097e7i | 2.89280i | |||||||||
−6.22569e6 | + | 1.87161e7i | −0.398803 | + | 1.19891i | |||||
0 | 0 | |||||||||
2.00099e7 | − | 2.67496e7i | 1.27333 | − | 1.70221i | |||||
−1.06247e7 | −0.673873 | −0.336937 | − | 0.941527i | ||||||
−0.336937 | + | 0.941527i | ||||||||
3.91094e6 | − | 1.17574e7i | 0.247234 | − | 0.743253i | |||||
−2.38433e7 | −1.50232 | |||||||||
0 | 0 | |||||||||
2.31511e7 | 1.44914 | 0.724570 | − | 0.689201i | ||||||
0.724570 | + | 0.689201i | ||||||||
−7.25151e6 | + | 2.18000e7i | −0.452419 | + | 1.36010i | |||||
4.47763e6 | 0.278443 | |||||||||
2.04120e7 | + | 1.52691e7i | 1.26518 | + | 0.946412i | |||||
0 | 0 | |||||||||
517363. | − | 1.55534e6i | 0.0318584 | − | 0.0957751i | |||||
− | 9.49113e6i | − | 0.582545i | |||||||
−2.60902e7 | + | 1.68188e7i | −1.59615 | + | 1.02894i | |||||
−9.09958e6 | −0.554888 | −0.277444 | − | 0.960742i | ||||||
−0.277444 | + | 0.960742i | ||||||||
0 | 0 | |||||||||
2.02011e7i | 1.22388i | |||||||||
6.83549e6 | − | 9.13781e6i | 0.412787 | − | 0.551822i | |||||
1.82799e7 | 1.10034 | 0.550169 | − | 0.835053i | ||||||
0.550169 | + | 0.835053i | ||||||||
−2.80913e7 | − | 9.34423e6i | −1.68547 | − | 0.560649i | |||||
0 | 0 | |||||||||
−3.30347e6 | + | 2.29622e6i | −0.196932 | + | 0.136886i | |||||
− | 1.28596e7i | − | 0.764142i | |||||||
3.77728e6 | − | 1.13556e7i | 0.223733 | − | 0.672604i | |||||
− | 4.70295e6i | − | 0.277669i | |||||||
0 | 0 | |||||||||
6.01985e6i | 0.353149i | |||||||||
1.46372e7 | + | 4.86889e6i | 0.855937 | + | 0.284717i | |||||
8.85113e7i | 5.15934i | |||||||||
2.50036e6 | + | 8.49345e6i | 0.145282 | + | 0.493508i | |||||
0 | 0 | |||||||||
−4.85787e6 | + | 1.46041e7i | −0.280472 | + | 0.843177i | |||||
3.07594e6 | 0.177028 | 0.0885139 | − | 0.996075i | ||||||
0.0885139 | + | 0.996075i | ||||||||
−5.80472e6 | − | 4.34219e6i | −0.333017 | − | 0.249111i | |||||
− | 2.70558e6i | − | 0.154728i | |||||||
0 | 0 | |||||||||
8.34507e6 | 0.474230 | |||||||||
−1.71275e7 | + | 1.19051e7i | −0.970242 | + | 0.674407i | |||||
6.03877e6i | 0.341009i | |||||||||
−9.70164e6 | − | 3.22713e6i | −0.546127 | − | 0.181662i | |||||
0 | 0 | |||||||||
4.55816e6 | + | 3.40971e6i | 0.254981 | + | 0.190737i | |||||
2.64996e6 | 0.147772 | 0.0738861 | − | 0.997267i | ||||||
0.0738861 | + | 0.997267i | ||||||||
3.57950e7 | + | 1.19068e7i | 1.98983 | + | 0.661891i | |||||
3.52853e6 | 0.195536 | |||||||||
0 | 0 | |||||||||
5.17071e7 | 2.84754 | |||||||||
1.39083e7 | + | 4.62641e6i | 0.763549 | + | 0.253985i | |||||
−3.38315e6 | −0.185153 | |||||||||
7.31429e6 | + | 5.47141e6i | 0.399054 | + | 0.298510i | |||||
0 | 0 | |||||||||
−1.65374e7 | − | 5.50096e6i | −0.896664 | − | 0.298264i | |||||
2.76932e7i | 1.49689i | |||||||||
5.78115e6 | − | 4.01843e6i | 0.311520 | − | 0.216535i | |||||
−4.52804e6 | −0.243242 | −0.121621 | − | 0.992577i | ||||||
−0.121621 | + | 0.992577i | ||||||||
0 | 0 | |||||||||
2.45669e7i | 1.31159i | 0.754939 | + | 0.655795i | ||||||
−0.754939 | + | 0.655795i | ||||||||
1.77297e7 | + | 1.32626e7i | 0.943652 | + | 0.705893i | |||||
1.51656e7 | 0.804701 | |||||||||
−1.56203e6 | + | 4.69590e6i | −0.0826283 | + | 0.248404i | |||||
0 | 0 | |||||||||
1.79123e7 | − | 5.27315e6i | 0.941728 | − | 0.277233i | |||||
− | 2.06047e7i | − | 1.07997i | |||||||
−2.68859e7 | − | 8.94325e6i | −1.40489 | − | 0.467318i | |||||
2.60466e7i | 1.35688i | |||||||||
0 | 0 | |||||||||
3.38228e7i | 1.75126i | 0.482981 | + | 0.875631i | ||||||
−0.482981 | + | 0.875631i | ||||||||
1.16660e7 | − | 3.50711e7i | 0.602200 | − | 1.81038i | |||||
− | 1.50699e7i | − | 0.775554i | −0.921753 | − | 0.387777i | ||||
0.921753 | − | 0.387777i | ||||||||
−2.61267e7 | + | 1.81605e7i | −1.34050 | + | 0.931770i | |||||
0 | 0 | |||||||||
−1.01095e7 | − | 3.36280e6i | −0.515561 | − | 0.171495i | |||||
−1.25312e7 | −0.637132 | −0.318566 | − | 0.947901i | ||||||
−0.318566 | + | 0.947901i | ||||||||
5.37453e7 | − | 7.18477e7i | 2.72436 | − | 3.64198i | |||||
− | 6.28073e6i | − | 0.317412i | −0.987326 | − | 0.158706i | ||||
0.987326 | − | 0.158706i | ||||||||
0 | 0 | |||||||||
−1.82307e7 | −0.915801 | |||||||||
5.19835e6 | − | 1.39821e7i | 0.260350 | − | 0.700270i | |||||
− | 5.32585e6i | − | 0.265936i | |||||||
8.15976e6 | − | 2.45305e7i | 0.406221 | − | 1.22121i | |||||
0 | 0 | |||||||||
−1.16249e7 | − | 8.69593e6i | −0.575271 | − | 0.430329i | |||||
−7.82078e7 | −3.85866 | |||||||||
−4.06847e6 | + | 1.22309e7i | −0.200134 | + | 0.601658i | |||||
−2.04326e7 | −1.00212 | −0.501058 | − | 0.865414i | ||||||
−0.501058 | + | 0.865414i | ||||||||
0 | 0 | |||||||||
−3.81543e7 | −1.86018 | |||||||||
−2.32840e6 | + | 6.99981e6i | −0.113182 | + | 0.340256i | |||||
3.61404e7 | 1.75156 | |||||||||
1.00682e7 | − | 1.34594e7i | 0.486514 | − | 0.650382i | |||||
0 | 0 | |||||||||
6.47806e6 | − | 1.94748e7i | 0.311185 | − | 0.935509i | |||||
− | 1.15587e7i | − | 0.553605i | |||||||
9.35924e6 | + | 3.17923e7i | 0.446942 | + | 1.51821i | |||||
−2.06133e7 | −0.981472 | |||||||||
0 | 0 | |||||||||
− | 2.12881e7i | − | 1.00766i | |||||||
−2.50995e7 | − | 1.87755e7i | −1.18458 | − | 0.886121i | |||||
−2.97962e7 | −1.40213 | −0.701066 | − | 0.713097i | ||||||
−0.701066 | + | 0.713097i | ||||||||
6.43221e6 | + | 2.13960e6i | 0.301798 | + | 0.100389i | |||||
0 | 0 | |||||||||
−1.32435e7 | − | 1.90528e7i | −0.617756 | − | 0.888741i | |||||
− | 2.06770e7i | − | 0.961690i | −0.876806 | − | 0.480845i | ||||
0.876806 | − | 0.480845i | ||||||||
4.37771e6 | − | 1.31606e7i | 0.203015 | − | 0.610320i | |||||
− | 2.17795e7i | − | 1.00708i | −0.863971 | − | 0.503542i | ||||
0.863971 | − | 0.503542i | ||||||||
0 | 0 | |||||||||
− | 5.04363e6i | − | 0.231865i | |||||||
−2.11485e7 | − | 7.03478e6i | −0.969419 | − | 0.322465i | |||||
− | 2.24327e7i | − | 1.02531i | −0.858596 | − | 0.512654i | ||||
0.858596 | − | 0.512654i | ||||||||
2.33067e6 | − | 6.68989e7i | 0.106218 | − | 3.04884i | |||||
0 | 0 | |||||||||
1.04354e7 | − | 3.13716e7i | 0.472839 | − | 1.42148i | |||||
3.08006e7 | 1.39159 | |||||||||
−1.17187e7 | + | 1.56658e7i | −0.527936 | + | 0.705755i | |||||
8.04162e6i | 0.361239i | |||||||||
0 | 0 | |||||||||
−4.38956e6 | −0.196054 | |||||||||
7.36745e6 | − | 5.12105e6i | 0.328115 | − | 0.228070i | |||||
− | 1.40763e7i | − | 0.625107i | |||||||
5.92560e7 | + | 1.97108e7i | 2.62394 | + | 0.872821i | |||||
0 | 0 | |||||||||
1.05518e7 | − | 1.41059e7i | 0.464587 | − | 0.621068i | |||||
3.66024e7 | 1.60698 | 0.803491 | − | 0.595317i | ||||||
0.803491 | + | 0.595317i | ||||||||
−4.09563e7 | − | 1.36236e7i | −1.79302 | − | 0.596424i | |||||
3.98880e6 | 0.174129 | |||||||||
0 | 0 | |||||||||
−4.27422e7 | −1.85531 | −0.927656 | − | 0.373436i | ||||||
−0.927656 | + | 0.373436i | ||||||||
−2.93947e7 | − | 9.77779e6i | −1.27233 | − | 0.423223i | |||||
−1.39684e7 | −0.602901 | −0.301451 | − | 0.953482i | ||||||
−0.301451 | + | 0.953482i | ||||||||
−5.37489e6 | + | 7.18526e6i | −0.231334 | + | 0.309252i | |||||
0 | 0 | |||||||||
1.06822e7 | + | 3.55330e6i | 0.457169 | + | 0.152071i | |||||
8.75249e6i | 0.373528i | 0.982405 | + | 0.186764i | ||||||
−0.982405 | + | 0.186764i | ||||||||
−1.47075e7 | − | 2.11590e7i | −0.625900 | − | 0.900458i | |||||
−1.23934e7 | −0.525941 | |||||||||
0 | 0 | |||||||||
− | 3.42378e7i | − | 1.44481i | |||||||
−1.36343e7 | + | 1.82266e7i | −0.573747 | + | 0.766996i | |||||
1.42846e7 | 0.599430 | |||||||||
8.08579e6 | − | 2.43081e7i | 0.338360 | − | 1.01720i | |||||
0 | 0 | |||||||||
−1.30513e7 | − | 1.04910e7i | −0.543105 | − | 0.436565i | |||||
5.96614e7i | 2.47578i | |||||||||
−1.10310e7 | − | 3.66932e6i | −0.456482 | − | 0.151843i | |||||
− | 5.18363e7i | − | 2.13912i | |||||||
0 | 0 | |||||||||
− | 1.99355e7i | − | 0.818116i | |||||||
−612642. | + | 1.84177e6i | −0.0250721 | + | 0.0753736i | |||||
− | 2.20973e7i | − | 0.901819i | |||||||
1.37309e7 | − | 9.54423e6i | 0.558828 | − | 0.388436i | |||||
0 | 0 | |||||||||
6.99938e7 | + | 2.32826e7i | 2.83295 | + | 0.942345i | |||||
4.22342e7 | 1.70469 | 0.852345 | − | 0.522979i | ||||||
0.852345 | + | 0.522979i | ||||||||
−5.54369e6 | − | 4.14693e6i | −0.223144 | − | 0.166921i | |||||
2.46339e7i | 0.988834i | |||||||||
0 | 0 | |||||||||
3.59551e7 | 1.43537 | 0.717686 | − | 0.696367i | ||||||
0.717686 | + | 0.696367i | ||||||||
7.25145e7 | − | 2.13473e7i | 2.88694 | − | 0.849878i | |||||
1.45661e7i | 0.578316i | |||||||||
4.90456e6 | − | 1.47445e7i | 0.194193 | − | 0.583799i | |||||
0 | 0 | |||||||||
−1.45563e7 | + | 1.94591e7i | −0.573207 | + | 0.766274i | |||||
−8.30252e6 | −0.326052 | |||||||||
−1.27093e7 | + | 3.82077e7i | −0.497755 | + | 1.49639i | |||||
−4.72565e6 | −0.184575 | −0.0922875 | − | 0.995732i | ||||||
−0.0922875 | + | 0.995732i | ||||||||
0 | 0 | |||||||||
8.31472e6 | 0.322997 | |||||||||
−7.17172e6 | + | 2.15602e7i | −0.277841 | + | 0.835266i | |||||
1.50631e7 | 0.581981 | |||||||||
−1.24670e7 | − | 9.32586e6i | −0.480376 | − | 0.359343i | |||||
0 | 0 | |||||||||
−1.38874e7 | + | 4.17493e7i | −0.532223 | + | 1.60001i | |||||
− | 1.11328e8i | − | 4.25505i | |||||||
4.43407e7 | + | 1.54477e6i | 1.69018 | + | 0.0588837i | |||||
3.52534e7 | 1.34018 | 0.670088 | − | 0.742282i | ||||||
0.670088 | + | 0.742282i | ||||||||
0 | 0 | |||||||||
− | 2.15607e7i | − | 0.815246i | |||||||
−1.64985e7 | + | 2.20555e7i | −0.622164 | + | 0.831721i | |||||
−7.11513e7 | −2.67595 | |||||||||
2.04741e7 | + | 6.81044e6i | 0.767957 | + | 0.255451i | |||||
0 | 0 | |||||||||
2.97895e7 | + | 4.28569e7i | 1.11141 | + | 1.59894i | |||||
4.46076e7i | 1.65982i | 0.557899 | + | 0.829909i | ||||||
−0.557899 | + | 0.829909i | ||||||||
−1.55526e6 | + | 4.67555e6i | −0.0577161 | + | 0.173511i | |||||
1.83400e7i | 0.678791i | |||||||||
0 | 0 | |||||||||
901496.i | 0.0331886i | 0.999862 | + | 0.0165943i | ||||||
−0.999862 | + | 0.0165943i | ||||||||
−6.88649e7 | − | 2.29070e7i | −2.52854 | − | 0.841089i | |||||
− | 8.34937e6i | − | 0.305756i | |||||||
−2.04801e7 | + | 6.02909e6i | −0.748001 | + | 0.220202i | |||||
0 | 0 | |||||||||
−2.68412e6 | + | 8.06921e6i | −0.0975157 | + | 0.293159i | |||||
−1.66417e7 | −0.603006 | −0.301503 | − | 0.953465i | ||||||
−0.301503 | + | 0.953465i | ||||||||
−3.35292e7 | − | 2.50813e7i | −1.21172 | − | 0.906420i | |||||
8.46542e6i | 0.305129i | |||||||||
0 | 0 | |||||||||
−2.70285e7 | −0.969105 | |||||||||
5.74902e6 | + | 8.27089e6i | 0.205590 | + | 0.295774i | |||||
− | 1.76926e7i | − | 0.631043i | −0.948918 | − | 0.315522i | ||||
0.948918 | − | 0.315522i | ||||||||
−1.10029e8 | − | 3.65998e7i | −3.91414 | − | 1.30199i | |||||
0 | 0 | |||||||||
8.92050e6 | + | 6.67293e6i | 0.315678 | + | 0.236141i | |||||
4.12518e7 | 1.45600 | |||||||||
−1.31108e7 | − | 4.36116e6i | −0.461548 | − | 0.153528i | |||||
1.99381e7 | 0.700063 | |||||||||
0 | 0 | |||||||||
1.71729e7 | 0.599841 | |||||||||
1.17502e7 | + | 3.90857e6i | 0.409363 | + | 0.136170i | |||||
8.11855e7 | 2.82106 | |||||||||
−2.16310e7 | − | 1.61809e7i | −0.749693 | − | 0.560804i | |||||
0 | 0 | |||||||||
6.35485e7 | + | 2.11386e7i | 2.19110 | + | 0.728843i | |||||
− | 1.08926e7i | − | 0.374598i | −0.982303 | − | 0.187299i | ||||
0.982303 | − | 0.187299i | ||||||||
−1.32196e7 | − | 1.90186e7i | −0.453452 | − | 0.652363i | |||||
−4.54705e7 | −1.55568 | |||||||||
0 | 0 | |||||||||
− | 1.33282e7i | − | 0.453654i | −0.973935 | − | 0.226827i | ||||
0.973935 | − | 0.226827i | ||||||||
7.07980e7 | + | 5.29600e7i | 2.40356 | + | 1.79797i | |||||
1.39457e7 | 0.472236 | |||||||||
−1.49118e7 | + | 4.48289e7i | −0.503654 | + | 1.51412i | |||||
0 | 0 | |||||||||
1.30306e7 | − | 3.83603e6i | 0.437863 | − | 0.128901i | |||||
− | 5.24537e7i | − | 1.75808i | −0.476745 | − | 0.879042i | ||||
0.476745 | − | 0.879042i | ||||||||
3.20891e7 | + | 1.06740e7i | 1.07278 | + | 0.356846i | |||||
− | 1.48528e7i | − | 0.495282i | |||||||
0 | 0 | |||||||||
3.13932e7i | 1.04151i | |||||||||
607191. | − | 1.82538e6i | 0.0200931 | − | 0.0604053i | |||||
− | 9.86355e6i | − | 0.325574i | −0.986661 | − | 0.162787i | ||||
0.986661 | − | 0.162787i | ||||||||
−5.76839e6 | − | 8.29875e6i | −0.189918 | − | 0.273228i | |||||
0 | 0 | |||||||||
−2.53242e7 | − | 8.42377e6i | −0.829551 | − | 0.275940i | |||||
1.53194e7 | 0.500550 | |||||||||
−2.17592e7 | + | 2.90882e7i | −0.709172 | + | 0.948034i | |||||
− | 3.65804e7i | − | 1.18921i | |||||||
0 | 0 | |||||||||
2.89033e7 | 0.934897 | 0.467448 | − | 0.884020i | ||||||
0.467448 | + | 0.884020i | ||||||||
−1.36495e6 | + | 3.91791e7i | −0.0440389 | + | 1.26408i | |||||
− | 1.00019e8i | − | 3.21891i | |||||||
5.33699e6 | − | 1.60445e7i | 0.171329 | − | 0.515062i | |||||
0 | 0 | |||||||||
−6.07325e7 | − | 4.54306e7i | −1.93987 | − | 1.45111i | |||||
4.81768e6 | 0.153497 | 0.0767485 | − | 0.997050i | ||||||
0.0767485 | + | 0.997050i | ||||||||
1.15877e6 | − | 3.48360e6i | 0.0368275 | − | 0.110714i | |||||
5.55686e7 | 1.76163 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 200.6.f.d.149.3 | 40 | ||
4.3 | odd | 2 | 800.6.f.d.49.2 | 40 | |||
5.2 | odd | 4 | 200.6.d.c.101.11 | ✓ | 20 | ||
5.3 | odd | 4 | 200.6.d.d.101.10 | yes | 20 | ||
5.4 | even | 2 | inner | 200.6.f.d.149.38 | 40 | ||
8.3 | odd | 2 | 800.6.f.d.49.40 | 40 | |||
8.5 | even | 2 | inner | 200.6.f.d.149.37 | 40 | ||
20.3 | even | 4 | 800.6.d.b.401.1 | 20 | |||
20.7 | even | 4 | 800.6.d.d.401.20 | 20 | |||
20.19 | odd | 2 | 800.6.f.d.49.39 | 40 | |||
40.3 | even | 4 | 800.6.d.b.401.20 | 20 | |||
40.13 | odd | 4 | 200.6.d.d.101.9 | yes | 20 | ||
40.19 | odd | 2 | 800.6.f.d.49.1 | 40 | |||
40.27 | even | 4 | 800.6.d.d.401.1 | 20 | |||
40.29 | even | 2 | inner | 200.6.f.d.149.4 | 40 | ||
40.37 | odd | 4 | 200.6.d.c.101.12 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.6.d.c.101.11 | ✓ | 20 | 5.2 | odd | 4 | ||
200.6.d.c.101.12 | yes | 20 | 40.37 | odd | 4 | ||
200.6.d.d.101.9 | yes | 20 | 40.13 | odd | 4 | ||
200.6.d.d.101.10 | yes | 20 | 5.3 | odd | 4 | ||
200.6.f.d.149.3 | 40 | 1.1 | even | 1 | trivial | ||
200.6.f.d.149.4 | 40 | 40.29 | even | 2 | inner | ||
200.6.f.d.149.37 | 40 | 8.5 | even | 2 | inner | ||
200.6.f.d.149.38 | 40 | 5.4 | even | 2 | inner | ||
800.6.d.b.401.1 | 20 | 20.3 | even | 4 | |||
800.6.d.b.401.20 | 20 | 40.3 | even | 4 | |||
800.6.d.d.401.1 | 20 | 40.27 | even | 4 | |||
800.6.d.d.401.20 | 20 | 20.7 | even | 4 | |||
800.6.f.d.49.1 | 40 | 40.19 | odd | 2 | |||
800.6.f.d.49.2 | 40 | 4.3 | odd | 2 | |||
800.6.f.d.49.39 | 40 | 20.19 | odd | 2 | |||
800.6.f.d.49.40 | 40 | 8.3 | odd | 2 |