Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [368,3,Mod(45,368)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(368, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("368.45");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 368.k (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 229.12 | ||
Character | 368.229 | ||
Dual form | 368.3.k.b.45.12 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.88889 | + | 0.657339i | −0.944445 | + | 0.328669i | |||||
−0.875057 | + | 0.875057i | −0.291686 | + | 0.291686i | −0.837746 | − | 0.546060i | ||
0.546060 | + | 0.837746i | ||||||||
3.13581 | − | 2.48328i | 0.783953 | − | 0.620820i | |||||
6.27246 | − | 6.27246i | 1.25449 | − | 1.25449i | 0.300806 | − | 0.953685i | ||
0.953685 | − | 0.300806i | ||||||||
1.07768 | − | 2.22809i | 0.179613 | − | 0.371349i | |||||
13.5040 | 1.92914 | 0.964571 | − | 0.263824i | ||||||
0.964571 | + | 0.263824i | ||||||||
−4.29085 | + | 6.75194i | −0.536356 | + | 0.843992i | |||||
7.46855i | 0.829839i | |||||||||
−7.72485 | + | 15.9711i | −0.772485 | + | 1.59711i | |||||
9.24750 | − | 9.24750i | 0.840682 | − | 0.840682i | −0.148266 | − | 0.988948i | ||
0.988948 | + | 0.148266i | ||||||||
−0.571000 | + | 4.91702i | −0.0475834 | + | 0.409752i | |||||
5.06345 | − | 5.06345i | 0.389496 | − | 0.389496i | −0.485012 | − | 0.874508i | ||
0.874508 | + | 0.485012i | ||||||||
−25.5076 | + | 8.87670i | −1.82197 | + | 0.634050i | |||||
10.9775i | 0.731834i | |||||||||
3.66662 | − | 15.5742i | 0.229164 | − | 0.973388i | |||||
11.9217i | 0.701278i | 0.936511 | + | 0.350639i | ||||||
−0.936511 | + | 0.350639i | ||||||||
−4.90937 | − | 14.1073i | −0.272743 | − | 0.783737i | |||||
−21.6286 | − | 21.6286i | −1.13834 | − | 1.13834i | −0.988747 | − | 0.149598i | ||
−0.149598 | − | 0.988747i | ||||||||
4.09296 | − | 35.2455i | 0.204648 | − | 1.76228i | |||||
−11.8168 | + | 11.8168i | −0.562703 | + | 0.562703i | |||||
−11.3888 | + | 23.5463i | −0.517671 | + | 1.07028i | |||||
9.25829 | + | 21.0543i | 0.402534 | + | 0.915405i | |||||
−2.15359 | − | 9.66306i | −0.0897331 | − | 0.402627i | |||||
− | 53.6875i | − | 2.14750i | |||||||
−6.23590 | + | 12.8927i | −0.239842 | + | 0.495873i | |||||
−14.4109 | − | 14.4109i | −0.533738 | − | 0.533738i | |||||
42.3460 | − | 33.5342i | 1.51236 | − | 1.19765i | |||||
−1.84906 | + | 1.84906i | −0.0637606 | + | 0.0637606i | −0.738268 | − | 0.674507i | ||
0.674507 | + | 0.738268i | ||||||||
−7.21595 | − | 20.7353i | −0.240532 | − | 0.691177i | |||||
−32.8551 | −1.05984 | −0.529922 | − | 0.848047i | ||||||
−0.529922 | + | 0.848047i | ||||||||
3.31168 | + | 31.8282i | 0.103490 | + | 0.994630i | |||||
16.1842i | 0.490429i | |||||||||
−7.83662 | − | 22.5188i | −0.230489 | − | 0.662319i | |||||
84.7032 | − | 84.7032i | 2.42009 | − | 2.42009i | |||||
18.5465 | + | 23.4200i | 0.515181 | + | 0.650555i | |||||
−23.1273 | + | 23.1273i | −0.625062 | + | 0.625062i | −0.946821 | − | 0.321760i | ||
0.321760 | + | 0.946821i | ||||||||
55.0712 | + | 26.6367i | 1.44924 | + | 0.700965i | |||||
8.86161i | 0.227221i | |||||||||
15.4371 | + | 69.2654i | 0.385927 | + | 1.73163i | |||||
61.1238i | 1.49083i | 0.666603 | + | 0.745413i | ||||||
−0.666603 | + | 0.745413i | ||||||||
14.5529 | − | 30.0882i | 0.346499 | − | 0.716385i | |||||
4.44257 | − | 4.44257i | 0.103315 | − | 0.103315i | −0.653560 | − | 0.756875i | ||
0.756875 | + | 0.653560i | ||||||||
6.03427 | − | 51.9626i | 0.137142 | − | 1.18097i | |||||
46.8462 | + | 46.8462i | 1.04103 | + | 1.04103i | |||||
−31.3277 | − | 33.6835i | −0.681037 | − | 0.732249i | |||||
6.23398 | 0.132638 | 0.0663189 | − | 0.997798i | ||||||
0.0663189 | + | 0.997798i | ||||||||
10.4198 | + | 16.8368i | 0.217079 | + | 0.350767i | |||||
133.358 | 2.72159 | |||||||||
35.2909 | + | 101.410i | 0.705817 | + | 2.02819i | |||||
−10.4322 | − | 10.4322i | −0.204553 | − | 0.204553i | |||||
3.30405 | − | 28.4520i | 0.0635394 | − | 0.547154i | |||||
−6.69376 | + | 6.69376i | −0.126297 | + | 0.126297i | −0.767430 | − | 0.641133i | ||
0.641133 | + | 0.767430i | ||||||||
36.6935 | + | 17.7478i | 0.679509 | + | 0.328663i | |||||
− | 116.009i | − | 2.10926i | |||||||
−57.9435 | + | 91.1781i | −1.03471 | + | 1.62818i | |||||
37.8524 | 0.664077 | |||||||||
2.27721 | − | 4.70812i | 0.0392622 | − | 0.0811745i | |||||
−24.5447 | − | 24.5447i | −0.416012 | − | 0.416012i | 0.467815 | − | 0.883826i | ||
−0.883826 | + | 0.467815i | ||||||||
27.2603 | + | 34.4234i | 0.454338 | + | 0.573723i | |||||
35.7487 | + | 35.7487i | 0.586044 | + | 0.586044i | 0.936558 | − | 0.350513i | ||
−0.350513 | + | 0.936558i | ||||||||
62.0597 | − | 21.5970i | 1.00096 | − | 0.348338i | |||||
100.855i | 1.60088i | |||||||||
−27.1773 | − | 57.9430i | −0.424645 | − | 0.905360i | |||||
− | 63.5205i | − | 0.977239i | |||||||
−10.6385 | − | 30.5701i | −0.161189 | − | 0.463184i | |||||
−27.6456 | − | 27.6456i | −0.412621 | − | 0.412621i | 0.470030 | − | 0.882651i | ||
−0.882651 | + | 0.470030i | ||||||||
29.6050 | + | 37.3843i | 0.435368 | + | 0.549769i | |||||
−26.5252 | − | 10.3222i | −0.384424 | − | 0.149597i | |||||
−104.316 | + | 215.674i | −1.49023 | + | 3.08105i | |||||
− | 0.0223440i | − | 0.000314704i | −1.00000 | 0.000157352i | |||||
1.00000 | 0.000157352i | |||||||||
−50.4272 | − | 32.0464i | −0.700378 | − | 0.445089i | |||||
− | 19.3177i | − | 0.264625i | −0.991208 | − | 0.132313i | ||||
0.991208 | − | 0.132313i | ||||||||
28.4824 | − | 58.8874i | 0.384898 | − | 0.795775i | |||||
46.9796 | + | 46.9796i | 0.626394 | + | 0.626394i | |||||
−121.533 | − | 14.1133i | −1.59912 | − | 0.185701i | |||||
124.878 | − | 124.878i | 1.62179 | − | 1.62179i | |||||
−5.82508 | − | 16.7386i | −0.0746805 | − | 0.214597i | |||||
− | 73.1520i | − | 0.925975i | −0.886365 | − | 0.462987i | ||||
0.886365 | − | 0.462987i | ||||||||
−74.6898 | − | 120.687i | −0.933623 | − | 1.50859i | |||||
−41.9962 | −0.518472 | |||||||||
−40.1791 | − | 115.456i | −0.489989 | − | 1.40800i | |||||
−26.2318 | − | 26.2318i | −0.316046 | − | 0.316046i | 0.531201 | − | 0.847246i | ||
−0.847246 | + | 0.531201i | ||||||||
−7.71078 | + | 66.3995i | −0.0917950 | + | 0.790470i | |||||
74.7786 | + | 74.7786i | 0.879748 | + | 0.879748i | |||||
−5.47125 | + | 11.3118i | −0.0636192 | + | 0.131532i | |||||
− | 3.23606i | − | 0.0371961i | |||||||
22.7589 | + | 102.118i | 0.258624 | + | 1.16043i | |||||
−64.1708 | −0.721020 | −0.360510 | − | 0.932755i | ||||||
−0.360510 | + | 0.932755i | ||||||||
−119.281 | − | 57.6935i | −1.32535 | − | 0.641038i | |||||
68.3768 | − | 68.3768i | 0.751393 | − | 0.751393i | |||||
81.3160 | + | 43.0314i | 0.883870 | + | 0.467733i | |||||
28.7501 | − | 28.7501i | 0.309141 | − | 0.309141i | |||||
−11.7753 | + | 4.09784i | −0.125269 | + | 0.0435940i | |||||
−271.328 | −2.85609 | |||||||||
−30.7494 | − | 24.9535i | −0.320306 | − | 0.259933i | |||||
− | 142.243i | − | 1.46642i | −0.680002 | − | 0.733210i | ||||
0.680002 | − | 0.733210i | ||||||||
−251.898 | + | 87.6613i | −2.57039 | + | 0.894503i | |||||
69.0654 | + | 69.0654i | 0.697631 | + | 0.697631i | |||||
−133.321 | − | 168.354i | −1.33321 | − | 1.68354i | |||||
75.6336 | + | 75.6336i | 0.748848 | + | 0.748848i | 0.974263 | − | 0.225415i | ||
−0.225415 | + | 0.974263i | ||||||||
26.5627 | + | 12.8478i | 0.260419 | + | 0.125959i | |||||
175.282 | 1.70177 | 0.850886 | − | 0.525351i | ||||||
0.850886 | + | 0.525351i | ||||||||
12.4616 | + | 55.9146i | 0.119823 | + | 0.537640i | |||||
148.240i | 1.41181i | |||||||||
8.24371 | − | 17.0439i | 0.0777709 | − | 0.160791i | |||||
−75.8520 | + | 75.8520i | −0.708898 | + | 0.708898i | −0.966303 | − | 0.257406i | ||
0.257406 | + | 0.966303i | ||||||||
−80.9763 | − | 9.40355i | −0.749780 | − | 0.0870699i | |||||
41.9915 | + | 41.9915i | 0.385243 | + | 0.385243i | 0.872987 | − | 0.487744i | ||
−0.487744 | + | 0.872987i | ||||||||
76.2573 | + | 219.128i | 0.693248 | + | 1.99208i | |||||
− | 40.4754i | − | 0.364643i | |||||||
49.5141 | − | 210.314i | 0.442090 | − | 1.87780i | |||||
109.643i | 0.970290i | 0.874434 | + | 0.485145i | ||||||
−0.874434 | + | 0.485145i | ||||||||
−71.4991 | + | 24.8819i | −0.627185 | + | 0.218262i | |||||
190.135 | + | 73.9901i | 1.65334 | + | 0.643392i | |||||
−1.20656 | + | 10.3900i | −0.0104014 | + | 0.0895691i | |||||
37.8166 | + | 37.8166i | 0.323219 | + | 0.323219i | |||||
62.4964 | + | 30.2280i | 0.529630 | + | 0.256170i | |||||
160.991i | 1.35287i | |||||||||
−74.1195 | − | 47.1028i | −0.617662 | − | 0.392523i | |||||
− | 50.0325i | − | 0.413492i | |||||||
−91.0244 | − | 44.0264i | −0.746101 | − | 0.360872i | |||||
−53.4868 | − | 53.4868i | −0.434852 | − | 0.434852i | |||||
−103.027 | + | 81.5886i | −0.830867 | + | 0.657972i | |||||
−179.941 | − | 179.941i | −1.43953 | − | 1.43953i | |||||
−66.2961 | − | 190.505i | −0.526159 | − | 1.51194i | |||||
−107.647 | −0.847616 | −0.423808 | − | 0.905752i | ||||||
−0.423808 | + | 0.905752i | ||||||||
89.4231 | + | 91.5833i | 0.698618 | + | 0.715495i | |||||
7.77499i | 0.0602713i | |||||||||
41.7545 | + | 119.983i | 0.321189 | + | 0.922948i | |||||
−152.448 | + | 152.448i | −1.16372 | + | 1.16372i | −0.180068 | + | 0.983654i | ||
−0.983654 | + | 0.180068i | ||||||||
40.1899 | + | 50.7505i | 0.304469 | + | 0.384474i | |||||
−292.072 | − | 292.072i | −2.19603 | − | 2.19603i | |||||
70.3920 | + | 34.0470i | 0.525314 | + | 0.254082i | |||||
−180.784 | −1.33914 | |||||||||
−80.4948 | − | 51.1543i | −0.591873 | − | 0.376135i | |||||
84.7818 | 0.618845 | 0.309423 | − | 0.950925i | ||||||
0.309423 | + | 0.950925i | ||||||||
56.8884 | + | 2.06142i | 0.412235 | + | 0.0149378i | |||||
−46.6363 | − | 46.6363i | −0.335513 | − | 0.335513i | 0.519163 | − | 0.854675i | ||
−0.854675 | + | 0.519163i | ||||||||
55.2714 | − | 475.955i | 0.394795 | − | 3.39968i | |||||
−5.45508 | + | 5.45508i | −0.0386885 | + | 0.0386885i | |||||
0.0146876 | + | 0.0422053i | 0.000103434 | + | 0.000297221i | |||||
− | 93.6485i | − | 0.654884i | |||||||
116.317 | + | 27.3844i | 0.807755 | + | 0.190169i | |||||
23.1963i | 0.159974i | |||||||||
12.6982 | + | 36.4889i | 0.0869743 | + | 0.249924i | |||||
−116.696 | + | 116.696i | −0.793848 | + | 0.793848i | |||||
−15.0912 | + | 129.954i | −0.101968 | + | 0.878070i | |||||
30.8347 | − | 30.8347i | 0.206944 | − | 0.206944i | −0.596023 | − | 0.802967i | ||
0.802967 | + | 0.596023i | ||||||||
−119.621 | − | 57.8577i | −0.797471 | − | 0.385718i | |||||
152.378i | 1.00912i | 0.863376 | + | 0.504561i | ||||||
−0.863376 | + | 0.504561i | ||||||||
238.839 | − | 53.2299i | 1.57131 | − | 0.350196i | |||||
−89.0381 | −0.581948 | |||||||||
−153.794 | + | 317.968i | −0.998661 | + | 2.06473i | |||||
−206.082 | + | 206.082i | −1.32956 | + | 1.32956i | |||||
22.0059 | + | 27.7883i | 0.141063 | + | 0.178130i | |||||
−34.5790 | − | 34.5790i | −0.220249 | − | 0.220249i | 0.588355 | − | 0.808603i | ||
−0.808603 | + | 0.588355i | ||||||||
48.0856 | + | 138.176i | 0.304340 | + | 0.874532i | |||||
− | 11.7148i | − | 0.0736783i | |||||||
220.413 | + | 178.869i | 1.37758 | + | 1.11793i | |||||
125.024 | + | 284.317i | 0.776545 | + | 1.76595i | |||||
79.3263 | − | 27.6058i | 0.489668 | − | 0.170406i | |||||
−1.27838 | + | 1.27838i | −0.00784279 | + | 0.00784279i | −0.711017 | − | 0.703175i | ||
0.703175 | + | 0.711017i | ||||||||
151.788 | + | 191.673i | 0.925535 | + | 1.16874i | |||||
101.515 | + | 101.515i | 0.615240 | + | 0.615240i | |||||
66.7921 | + | 32.3058i | 0.402362 | + | 0.194613i | |||||
− | 310.909i | − | 1.86173i | −0.365361 | − | 0.930866i | ||||
0.365361 | − | 0.930866i | ||||||||
−29.0821 | − | 130.490i | −0.173108 | − | 0.776725i | |||||
117.723i | 0.696586i | |||||||||
−190.403 | − | 92.0936i | −1.12002 | − | 0.541727i | |||||
161.534 | − | 161.534i | 0.944643 | − | 0.944643i | |||||
2.89891 | − | 24.9632i | 0.0168541 | − | 0.145135i | |||||
101.807 | − | 101.807i | 0.588477 | − | 0.588477i | −0.348742 | − | 0.937219i | ||
0.937219 | + | 0.348742i | ||||||||
2.12719 | + | 6.11256i | 0.0122252 | + | 0.0351296i | |||||
− | 724.995i | − | 4.14283i | |||||||
−110.115 | − | 177.930i | −0.625655 | − | 1.01096i | |||||
42.9560 | 0.242689 | |||||||||
121.212 | − | 42.1819i | 0.680964 | − | 0.236977i | |||||
140.985 | − | 140.985i | 0.787625 | − | 0.787625i | −0.193480 | − | 0.981104i | ||
0.981104 | + | 0.193480i | ||||||||
263.233 | + | 30.5685i | 1.46241 | + | 0.169825i | |||||
−127.844 | + | 127.844i | −0.706319 | + | 0.706319i | −0.965759 | − | 0.259440i | ||
0.259440 | + | 0.965759i | ||||||||
−84.2095 | + | 174.103i | −0.462689 | + | 0.956609i | |||||
−62.5643 | −0.341881 | |||||||||
−181.883 | − | 27.8294i | −0.988496 | − | 0.151247i | |||||
290.130i | 1.56827i | |||||||||
−35.4072 | + | 73.2043i | −0.190361 | + | 0.393572i | |||||
110.246 | + | 110.246i | 0.589552 | + | 0.589552i | |||||
19.5486 | − | 15.4807i | 0.103982 | − | 0.0823443i | |||||
−194.605 | − | 194.605i | −1.02966 | − | 1.02966i | |||||
512.509 | − | 178.355i | 2.69742 | − | 0.938709i | |||||
− | 28.2910i | − | 0.148121i | −0.997254 | − | 0.0740603i | ||||
0.997254 | − | 0.0740603i | ||||||||
74.4851 | + | 26.9218i | 0.387943 | + | 0.140217i | |||||
−114.005 | −0.590701 | −0.295350 | − | 0.955389i | ||||||
−0.295350 | + | 0.955389i | ||||||||
93.5017 | + | 268.681i | 0.481967 | + | 1.38495i | |||||
55.5841 | + | 55.5841i | 0.285046 | + | 0.285046i | |||||
418.185 | − | 331.165i | 2.13360 | − | 1.68962i | |||||
54.3132 | + | 54.3132i | 0.275701 | + | 0.275701i | 0.831390 | − | 0.555689i | ||
−0.555689 | + | 0.831390i | ||||||||
−175.856 | − | 85.0576i | −0.888164 | − | 0.429584i | |||||
−219.466 | −1.10285 | −0.551423 | − | 0.834226i | ||||||
−0.551423 | + | 0.834226i | ||||||||
362.494 | + | 230.365i | 1.81247 | + | 1.15182i | |||||
48.3829 | 0.240711 | |||||||||
−192.581 | − | 93.1467i | −0.953369 | − | 0.461122i | |||||
−24.9696 | + | 24.9696i | −0.123003 | + | 0.123003i | |||||
−58.6194 | − | 6.80731i | −0.287350 | − | 0.0333692i | |||||
383.397 | + | 383.397i | 1.87023 | + | 1.87023i | |||||
−331.089 | + | 115.220i | −1.60723 | + | 0.559320i | |||||
−157.245 | + | 69.1460i | −0.759639 | + | 0.334039i | |||||
−60.2934 | − | 97.4249i | −0.289872 | − | 0.468389i | |||||
−400.020 | −1.91397 | |||||||||
−97.4441 | − | 280.009i | −0.464019 | − | 1.33338i | |||||
111.383 | − | 111.383i | 0.527882 | − | 0.527882i | −0.392059 | − | 0.919940i | ||
0.919940 | + | 0.392059i | ||||||||
−4.36788 | + | 37.6129i | −0.0206032 | + | 0.177419i | |||||
0.0195523 | + | 0.0195523i | 9.17946e−5 | + | 9.17946e-5i | |||||
93.4157 | − | 193.137i | 0.436522 | − | 0.902508i | |||||
− | 55.7316i | − | 0.259217i | |||||||
159.137 | − | 35.4666i | 0.736743 | − | 0.164197i | |||||
−443.675 | −2.04459 | |||||||||
−106.920 | − | 51.7147i | −0.490459 | − | 0.237223i | |||||
16.9040 | + | 16.9040i | 0.0771874 | + | 0.0771874i | |||||
−288.083 | − | 363.783i | −1.30947 | − | 1.65356i | |||||
60.3651 | + | 60.3651i | 0.273145 | + | 0.273145i | |||||
26.6060 | + | 76.4535i | 0.119847 | + | 0.344385i | |||||
158.502 | 0.710772 | 0.355386 | − | 0.934720i | ||||||
0.355386 | + | 0.934720i | ||||||||
44.7209 | + | 429.807i | 0.199647 | + | 1.91878i | |||||
400.968 | 1.78208 | |||||||||
−72.0725 | − | 207.103i | −0.318905 | − | 0.916386i | |||||
186.887 | + | 186.887i | 0.823292 | + | 0.823292i | 0.986579 | − | 0.163287i | ||
−0.163287 | + | 0.986579i | ||||||||
118.698 | − | 93.9982i | 0.520605 | − | 0.412273i | |||||
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0.522242 | + | 0.852797i | ||||||||
−407.780 | − | 14.7764i | −1.77296 | − | 0.0642450i | |||||
218.551i | 0.946108i | |||||||||
−4.55070 | − | 20.4187i | −0.0196151 | − | 0.0880117i | |||||
200.737i | 0.861532i | 0.902464 | + | 0.430766i | ||||||
−0.902464 | + | 0.430766i | ||||||||
−96.2898 | − | 46.5731i | −0.411495 | − | 0.199030i | |||||
39.1024 | − | 39.1024i | 0.166393 | − | 0.166393i | |||||
−137.919 | − | 16.0161i | −0.584402 | − | 0.0678650i | |||||
64.0121 | + | 64.0121i | 0.270093 | + | 0.270093i | |||||
−105.826 | − | 304.094i | −0.444645 | − | 1.27771i | |||||
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−0.266754 | + | 0.963765i | ||||||||
170.966 | + | 40.2504i | 0.712358 | + | 0.167710i | |||||
228.352i | 0.947518i | 0.880655 | + | 0.473759i | ||||||
−0.880655 | + | 0.473759i | ||||||||
32.8883 | + | 94.5059i | 0.135902 | + | 0.390520i | |||||
166.447 | − | 166.447i | 0.684968 | − | 0.684968i | |||||
200.875 | + | 23.3271i | 0.823259 | + | 0.0956028i | |||||
836.481 | − | 836.481i | 3.41421 | − | 3.41421i | |||||
136.190 | + | 65.8718i | 0.553617 | + | 0.267771i | |||||
−219.030 | −0.886762 | |||||||||
140.976 | − | 221.836i | 0.568453 | − | 0.894499i | |||||
45.9086 | 0.184372 | |||||||||
458.171 | + | 221.606i | 1.83268 | + | 0.886426i | |||||
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0.380584 | + | 0.924746i | ||||||||
250.452 | + | 316.263i | 0.993857 | + | 1.25501i | |||||
280.316 | + | 109.084i | 1.10797 | + | 0.431161i | |||||
203.334 | − | 70.7607i | 0.800527 | − | 0.278585i | |||||
−130.871 | −0.513219 | |||||||||
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−48.2818 | −0.187867 | −0.0939334 | − | 0.995578i | ||||||
−0.0939334 | + | 0.995578i | ||||||||
−5.11081 | − | 14.6861i | −0.0198093 | − | 0.0569229i | |||||
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−157.739 | − | 199.188i | −0.606690 | − | 0.766109i | |||||
−13.8098 | − | 13.8098i | −0.0529110 | − | 0.0529110i | |||||
187.747 | − | 388.167i | 0.716592 | − | 1.48155i | |||||
220.965 | 0.840171 | 0.420086 | − | 0.907484i | ||||||
0.420086 | + | 0.907484i | ||||||||
−109.275 | − | 69.4438i | −0.413919 | − | 0.263045i | |||||
83.9727i | 0.316878i | |||||||||
743.682 | + | 359.701i | 2.79580 | + | 1.35226i | |||||
56.1531 | − | 56.1531i | 0.210311 | − | 0.210311i | |||||
−155.343 | − | 18.0396i | −0.579639 | − | 0.0673118i | |||||
−270.861 | + | 270.861i | −1.00692 | + | 1.00692i | −0.00694234 | + | 0.999976i | ||
−0.999976 | + | 0.00694234i | ||||||||
341.481 | − | 118.836i | 1.26474 | − | 0.440134i | |||||
−247.486 | −0.913232 | −0.456616 | − | 0.889664i | ||||||
−0.456616 | + | 0.889664i | ||||||||
185.671 | + | 43.7125i | 0.682616 | + | 0.160708i | |||||
119.667i | 0.438341i | |||||||||
−160.144 | + | 55.7304i | −0.584466 | + | 0.203396i | |||||
−496.475 | − | 496.475i | −1.80536 | − | 1.80536i | |||||
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−151.298 | − | 151.298i | −0.546201 | − | 0.546201i | 0.379139 | − | 0.925340i | ||
−0.925340 | + | 0.379139i | ||||||||
118.747 | + | 57.4349i | 0.427146 | + | 0.206600i | |||||
− | 245.380i | − | 0.879499i | |||||||
208.462 | + | 935.359i | 0.744509 | + | 3.34057i | |||||
136.441 | 0.485556 | 0.242778 | − | 0.970082i | ||||||
0.242778 | + | 0.970082i | ||||||||
6.71821 | − | 13.8899i | 0.0238235 | − | 0.0492549i | |||||
142.308 | − | 142.308i | 0.502856 | − | 0.502856i | −0.409468 | − | 0.912324i | ||
0.912324 | + | 0.409468i | ||||||||
−0.0554864 | − | 0.0700665i | −0.000195375 | − | 0.000246713i | |||||
237.428 | − | 237.428i | 0.833080 | − | 0.833080i | |||||
61.5588 | + | 176.892i | 0.215241 | + | 0.618502i | |||||
825.416i | 2.87601i | |||||||||
−237.710 | + | 24.7335i | −0.825383 | + | 0.0858801i | |||||
146.872 | 0.508209 | |||||||||
−15.2478 | − | 43.8152i | −0.0525786 | − | 0.151087i | |||||
124.470 | + | 124.470i | 0.427734 | + | 0.427734i | |||||
−47.9712 | − | 60.5765i | −0.164285 | − | 0.207454i | |||||
68.2180 | − | 68.2180i | 0.232826 | − | 0.232826i | −0.581045 | − | 0.813871i | ||
0.813871 | + | 0.581045i | ||||||||
143.717 | − | 297.134i | 0.488832 | − | 1.01066i | |||||
−307.911 | −1.04377 | |||||||||
−56.9184 | − | 255.390i | −0.192292 | − | 0.862803i | |||||
−266.530 | −0.897407 | |||||||||
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153.486 | + | 59.7286i | 0.513332 | + | 0.199761i | |||||
263.983 | + | 30.6556i | 0.879942 | + | 0.102185i | |||||
59.9924 | − | 59.9924i | 0.199310 | − | 0.199310i | |||||
−100.164 | − | 287.824i | −0.331668 | − | 0.953061i | |||||
−132.367 | −0.436856 | |||||||||
−416.151 | + | 257.544i | −1.36892 | + | 0.847183i | |||||
448.464 | 1.47038 | |||||||||
168.183 | − | 58.5282i | 0.549618 | − | 0.191269i | |||||
302.327 | − | 302.327i | 0.984777 | − | 0.984777i | −0.0151088 | − | 0.999886i | ||
0.999886 | + | 0.0151088i | ||||||||
81.4867 | − | 701.702i | 0.264567 | − | 2.27825i | |||||
−153.382 | + | 153.382i | −0.496382 | + | 0.496382i | |||||
253.801 | − | 524.733i | 0.818713 | − | 1.69269i | |||||
244.971i | 0.787690i | 0.919177 | + | 0.393845i | ||||||
−0.919177 | + | 0.393845i | ||||||||
−59.8330 | − | 38.0238i | −0.191772 | − | 0.121871i | |||||
−516.407 | −1.64986 | −0.824932 | − | 0.565232i | ||||||
−0.824932 | + | 0.565232i | ||||||||
88.0461 | + | 42.5858i | 0.280402 | + | 0.135624i | |||||
632.610 | + | 632.610i | 2.00829 | + | 2.00829i | |||||
−181.657 | − | 229.391i | −0.574864 | − | 0.725920i | |||||
−235.214 | + | 235.214i | −0.742001 | + | 0.742001i | −0.972963 | − | 0.230962i | ||
0.230962 | + | 0.972963i | ||||||||
7.70062 | + | 22.1281i | 0.0242158 | + | 0.0695851i | |||||
34.1983i | 0.107205i | |||||||||
−533.914 | − | 192.977i | −1.66848 | − | 0.603052i | |||||
− | 132.750i | − | 0.413550i | |||||||
−423.049 | − | 454.861i | −1.31382 | − | 1.41261i | |||||
257.850 | − | 257.850i | 0.798297 | − | 0.798297i | |||||
−131.692 | + | 104.288i | −0.406458 | + | 0.321878i | |||||
−271.844 | − | 271.844i | −0.836442 | − | 0.836442i | |||||
1.57438 | − | 3.25504i | 0.00482940 | − | 0.00998477i | |||||
−73.4899 | −0.224740 | |||||||||
−412.704 | − | 262.273i | −1.25824 | − | 0.799613i | |||||
84.1836 | 0.255877 | |||||||||
−258.479 | − | 125.020i | −0.783270 | − | 0.378850i | |||||
63.9148 | + | 63.9148i | 0.193096 | + | 0.193096i | 0.797033 | − | 0.603936i | ||
−0.603936 | + | 0.797033i | ||||||||
−147.399 | − | 17.1170i | −0.443972 | − | 0.0515573i | |||||
−172.727 | − | 172.727i | −0.518701 | − | 0.518701i | |||||
204.373 | + | 587.273i | 0.611894 | + | 1.75830i | |||||
−346.812 | −1.03526 | |||||||||
140.709 | + | 227.364i | 0.418777 | + | 0.676679i | |||||
− | 364.246i | − | 1.08085i | −0.841392 | − | 0.540425i | ||||
0.841392 | − | 0.540425i | ||||||||
−77.3839 | − | 222.366i | −0.228946 | − | 0.657887i | |||||
−95.9437 | − | 95.9437i | −0.283020 | − | 0.283020i | |||||
420.188 | + | 48.7952i | 1.23585 | + | 0.143515i | |||||
−303.828 | + | 303.828i | −0.890991 | + | 0.890991i | |||||
−198.937 | + | 411.302i | −0.581688 | + | 1.20264i | |||||
1139.17 | 3.32119 | |||||||||
10.9336 | + | 49.0583i | 0.0317836 | + | 0.142611i | |||||
−231.124 | + | 101.633i | −0.669925 | + | 0.294588i | |||||
−125.380 | + | 259.223i | −0.362370 | + | 0.749199i | |||||
−185.323 | − | 185.323i | −0.534072 | − | 0.534072i | 0.387709 | − | 0.921782i | ||
−0.921782 | + | 0.387709i | ||||||||
−8.03604 | − | 10.1477i | −0.0230921 | − | 0.0291600i | |||||
188.541 | − | 188.541i | 0.540232 | − | 0.540232i | −0.383365 | − | 0.923597i | ||
0.923597 | + | 0.383365i | ||||||||
476.567 | + | 1369.44i | 1.36162 | + | 3.91267i | |||||
−145.938 | −0.415777 | |||||||||
324.956 | + | 263.706i | 0.923170 | + | 0.749166i | |||||
−405.785 | −1.14953 | −0.574766 | − | 0.818317i | ||||||
−0.574766 | + | 0.818317i | ||||||||
−81.1391 | + | 28.2366i | −0.229207 | + | 0.0797645i | |||||
−0.140152 | − | 0.140152i | −0.000394794 | − | 0.000394794i | |||||
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−140.876 | − | 140.876i | −0.394611 | − | 0.394611i | |||||
−173.630 | + | 358.980i | −0.485000 | + | 1.00274i | |||||
−43.5284 | −0.121249 | −0.0606245 | − | 0.998161i | ||||||
−0.0606245 | + | 0.998161i | ||||||||
−517.312 | + | 115.293i | −1.43698 | + | 0.320258i | |||||
574.589i | 1.59166i | |||||||||
157.446 | − | 325.520i | 0.434934 | − | 0.899225i | |||||
43.7813 | + | 43.7813i | 0.120610 | + | 0.120610i | |||||
44.6179 | − | 384.215i | 0.122577 | − | 1.05554i | |||||
−121.169 | − | 121.169i | −0.331970 | − | 0.331970i | |||||
118.177 | − | 41.1259i | 0.322888 | − | 0.112366i | |||||
51.3496i | 0.139917i | 0.997550 | + | 0.0699585i | ||||||
−0.997550 | + | 0.0699585i | ||||||||
361.851 | − | 66.9922i | 0.983290 | − | 0.182044i | |||||
−456.507 | −1.23715 | |||||||||
−190.714 | − | 548.023i | −0.515442 | − | 1.48114i | |||||
−90.3925 | + | 90.3925i | −0.243646 | + | 0.243646i | |||||
18.7603 | − | 161.549i | 0.0504309 | − | 0.434273i | |||||
20.6559 | − | 20.6559i | 0.0553779 | − | 0.0553779i | −0.678876 | − | 0.734253i | ||
0.734253 | + | 0.678876i | ||||||||
−280.712 | − | 135.774i | −0.750567 | − | 0.363032i | |||||
314.917 | 0.839778 | |||||||||
−26.7490 | + | 42.0914i | −0.0711410 | + | 0.111945i | |||||
18.7252i | 0.0496690i | |||||||||
495.509 | + | 239.666i | 1.31087 | + | 0.634037i | |||||
−148.912 | + | 148.912i | −0.392909 | + | 0.392909i | −0.875723 | − | 0.482814i | ||
0.482814 | + | 0.875723i | ||||||||
−850.835 | + | 673.785i | −2.23904 | + | 1.77312i | |||||
94.1974 | − | 94.1974i | 0.247237 | − | 0.247237i | |||||
18.5968 | + | 53.4386i | 0.0486827 | + | 0.139892i | |||||
− | 67.6650i | − | 0.176671i | −0.996091 | − | 0.0883355i | ||||
0.996091 | − | 0.0883355i | ||||||||
−158.391 | − | 1.89028i | −0.412476 | − | 0.00492261i | |||||
− | 1566.59i | − | 4.06905i | |||||||
215.343 | − | 74.9401i | 0.557884 | − | 0.194145i | |||||
33.1795 | + | 33.1795i | 0.0857352 | + | 0.0857352i | |||||
−353.229 | − | 446.046i | −0.910384 | − | 1.14960i | |||||
−142.032 | + | 142.032i | −0.365120 | + | 0.365120i | −0.865694 | − | 0.500574i | ||
0.500574 | + | 0.865694i | ||||||||
−141.530 | − | 68.4546i | −0.362897 | − | 0.175525i | |||||
−251.004 | + | 110.375i | −0.641954 | + | 0.282288i | |||||
−572.218 | + | 900.423i | −1.45974 | + | 2.29700i | |||||
− | 266.801i | − | 0.678882i | |||||||
−138.294 | − | 66.8895i | −0.350999 | − | 0.169770i | |||||
−458.843 | − | 458.843i | −1.16163 | − | 1.16163i | |||||
388.085 | + | 45.0672i | 0.980013 | + | 0.113806i | |||||
128.831 | − | 128.831i | 0.324510 | − | 0.324510i | −0.525984 | − | 0.850494i | ||
0.850494 | + | 0.525984i | ||||||||
414.548 | − | 144.264i | 1.04158 | − | 0.362472i | |||||
511.159 | 1.28110 | |||||||||
−836.139 | − | 196.852i | −2.09035 | − | 0.492129i | |||||
265.047i | 0.660965i | 0.943812 | + | 0.330482i | ||||||
−0.943812 | + | 0.330482i | ||||||||
−91.3900 | + | 31.8040i | −0.227338 | + | 0.0791144i | |||||
−166.360 | + | 166.360i | −0.412805 | + | 0.412805i | |||||
424.992 | + | 49.3532i | 1.05196 | + | 0.122161i | |||||
−263.420 | + | 263.420i | −0.650419 | + | 0.650419i | |||||
30.7514 | − | 63.5784i | 0.0757423 | − | 0.156597i | |||||
427.739i | 1.05096i | |||||||||
115.200 | − | 25.6746i | 0.282354 | − | 0.0629279i | |||||
− | 490.325i | − | 1.19884i | −0.800435 | − | 0.599420i | ||||
0.800435 | − | 0.599420i | ||||||||
−976.216 | − | 472.173i | −2.38101 | − | 1.15164i | |||||
−74.1889 | + | 74.1889i | −0.180508 | + | 0.180508i | |||||
549.653 | − | 435.276i | 1.33411 | − | 1.05649i | |||||
−331.451 | − | 331.451i | −0.802545 | − | 0.802545i | |||||
251.567 | − | 233.973i | 0.607649 | − | 0.565151i | |||||
−329.076 | −0.792953 | |||||||||
177.929 | + | 144.392i | 0.427714 | + | 0.347096i | |||||
81.6187 | 0.195728 | |||||||||
755.594 | − | 262.949i | 1.80764 | − | 0.629064i | |||||
205.235 | + | 205.235i | 0.489822 | + | 0.489822i | 0.908250 | − | 0.418428i | ||
−0.418428 | + | 0.908250i | ||||||||
368.122 | + | 464.853i | 0.876482 | + | 1.10679i | |||||
−278.850 | + | 278.850i | −0.662352 | + | 0.662352i | −0.955934 | − | 0.293582i | ||
0.293582 | + | 0.955934i | ||||||||
−137.174 | + | 283.607i | −0.325057 | + | 0.672054i | |||||
46.5588i | 0.110068i | |||||||||
−16.4740 | − | 73.9178i | −0.0388537 | − | 0.174334i | |||||
640.047 | 1.50599 | |||||||||
−0.0497845 | − | 0.0240796i | −0.000116865 | − | 5.65249e-5i | |||||
482.750 | + | 482.750i | 1.13056 | + | 1.13056i | |||||
−49.4957 | + | 426.220i | −0.115644 | + | 0.995840i | |||||
81.9477 | + | 81.9477i | 0.191020 | + | 0.191020i | |||||
36.6346 | + | 105.271i | 0.0851966 | + | 0.244816i | |||||
329.470i | 0.764431i | 0.924073 | + | 0.382216i | ||||||
−0.924073 | + | 0.382216i | ||||||||
−277.278 | + | 171.599i | −0.641847 | + | 0.397220i | |||||
561.046i | 1.29572i | 0.761760 | + | 0.647859i | ||||||
−0.761760 | + | 0.647859i | ||||||||
838.054 | − | 291.645i | 1.93100 | − | 0.671993i | |||||
−20.2980 | − | 20.2980i | −0.0466622 | − | 0.0466622i | |||||
235.954 | + | 27.4007i | 0.541180 | + | 0.0628457i | |||||
255.131 | − | 655.618i | 0.583824 | − | 1.50027i | |||||
−43.0416 | − | 20.8182i | −0.0982684 | − | 0.0475301i | |||||
− | 534.808i | − | 1.21824i | −0.793078 | − | 0.609121i | ||||
0.793078 | − | 0.609121i | ||||||||
783.286 | + | 497.777i | 1.78020 | + | 1.13131i | |||||
995.990i | 2.25848i | |||||||||
−153.703 | − | 74.3427i | −0.347745 | − | 0.168196i | |||||
−195.027 | − | 195.027i | −0.440241 | − | 0.440241i | 0.451852 | − | 0.892093i | ||
−0.892093 | + | 0.451852i | ||||||||
−100.512 | − | 126.923i | −0.226378 | − | 0.285863i | |||||
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53.9642i | 0.120725i | |||||||||
−367.002 | − | 782.462i | −0.819201 | − | 1.74657i | |||||
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565.243 | + | 565.243i | 1.25331 | + | 1.25331i | |||||
272.274 | + | 343.819i | 0.602376 | + | 0.760662i | |||||
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− | 857.781i | − | 1.88523i | |||||||
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378.638 | 0.828530 | 0.414265 | − | 0.910156i | ||||||
0.414265 | + | 0.910156i | ||||||||
93.2248 | − | 192.742i | 0.203548 | − | 0.420834i | |||||
171.803 | − | 171.803i | 0.374299 | − | 0.374299i | |||||
779.964 | − | 240.139i | 1.69557 | − | 0.522040i | |||||
305.291 | − | 305.291i | 0.662236 | − | 0.662236i | −0.293671 | − | 0.955907i | ||
0.955907 | + | 0.293671i | ||||||||
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536.251 | 1.15821 | 0.579104 | − | 0.815253i | ||||||
0.579104 | + | 0.815253i | ||||||||
22.0178 | + | 35.5774i | 0.0474521 | + | 0.0766754i | |||||
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212.495 | + | 24.6765i | 0.454049 | + | 0.0527275i | |||||
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60.5172 | 0.128487 | |||||||||
271.042 | − | 60.4067i | 0.574241 | − | 0.127980i | |||||
− | 82.1653i | − | 0.173711i | |||||||
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399.786 | + | 504.837i | 0.839886 | + | 1.06058i | |||||
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240.849 | − | 83.8162i | 0.503868 | − | 0.175348i | |||||
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0.875958 | − | 0.482387i | ||||||||
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234.208i | 0.486918i | |||||||||
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373.680i | 0.767310i | 0.923476 | + | 0.383655i | ||||||
−0.923476 | + | 0.383655i | ||||||||
−394.765 | + | 87.9808i | −0.808945 | + | 0.180289i | |||||
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517.615 | + | 517.615i | 1.05421 | + | 1.05421i | 0.998444 | + | 0.0557624i | ||
0.0557624 | + | 0.998444i | ||||||||
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−22.0440 | − | 22.0440i | −0.0447139 | − | 0.0447139i | |||||
413.724 | − | 143.977i | 0.837498 | − | 0.291451i | |||||
866.420 | 1.75034 | |||||||||
−120.467 | + | 511.693i | −0.242878 | + | 1.03164i | |||||
− | 0.301733i | − | 0.000607109i | |||||||
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269.165 | − | 269.165i | 0.539409 | − | 0.539409i | −0.383947 | − | 0.923355i | ||
0.923355 | + | 0.383947i | ||||||||
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272.063 | + | 272.063i | 0.543040 | + | 0.543040i | |||||
168.211 | − | 347.776i | 0.335081 | − | 0.692780i | |||||
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948.818 | 1.87885 | |||||||||
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376.327 | − | 376.327i | 0.739346 | − | 0.739346i | −0.233106 | − | 0.972451i | ||
0.972451 | + | 0.233106i | ||||||||
247.201 | − | 86.0266i | 0.484708 | − | 0.168680i | |||||
− | 260.865i | − | 0.510500i | |||||||
507.841 | + | 65.1252i | 0.991877 | + | 0.127198i | |||||
623.374i | 1.21515i | |||||||||
91.1989 | − | 31.7375i | 0.177430 | − | 0.0617461i | |||||
1099.45 | − | 1099.45i | 2.13486 | − | 2.13486i | |||||
19.3075 | + | 24.3809i | 0.0374176 | + | 0.0472498i | |||||
57.6487 | − | 57.6487i | 0.111506 | − | 0.111506i | |||||
384.627 | − | 795.215i | 0.742522 | − | 1.53516i | |||||
178.173i | 0.343300i | |||||||||
428.887 | + | 272.557i | 0.824782 | + | 0.524148i | |||||
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35.1628 | + | 17.0074i | 0.0673618 | + | 0.0325813i | |||||
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634.412 | + | 634.412i | 1.20840 | + | 1.20840i | |||||
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− | 391.690i | − | 0.743245i | |||||||
252.056 | + | 59.3413i | 0.477378 | + | 0.112389i | |||||
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183.313 | − | 183.313i | 0.345223 | − | 0.345223i | |||||
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309.497 | + | 309.497i | 0.580671 | + | 0.580671i | |||||
−69.1554 | + | 142.979i | −0.129504 | + | 0.267750i | |||||
951.558i | 1.77861i | |||||||||
305.284 | − | 68.0384i | 0.569560 | − | 0.126937i | |||||
246.739i | 0.459477i | |||||||||
333.579 | − | 689.674i | 0.620036 | − | 1.28192i | |||||
1233.23 | − | 1233.23i | 2.28799 | − | 2.28799i | |||||
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−0.924811 | + | 0.380427i | ||||||||
467.474 | − | 162.682i | 0.862497 | − | 0.300151i | |||||
− | 223.741i | − | 0.412046i | |||||||
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526.780 | 0.966569 | |||||||||
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0.329105 | + | 0.944293i | ||||||||
265.860 | − | 210.537i | 0.485146 | − | 0.384192i | |||||
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1264.14 | + | 611.434i | 2.29843 | + | 1.11170i | |||||
79.9848 | 0.145163 | |||||||||
183.510 | − | 134.806i | 0.332447 | − | 0.244213i | |||||
− | 987.844i | − | 1.78634i | |||||||
385.238 | + | 186.331i | 0.695376 | + | 0.336337i | |||||
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−0.925147 | + | 0.379608i | ||||||||
161.298 | + | 463.496i | 0.289065 | + | 0.830639i | |||||
− | 44.9894i | − | 0.0804819i | |||||||
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−0.991915 | + | 0.126901i | ||||||||
−3.55960 | + | 30.6526i | −0.00631135 | + | 0.0543486i | |||||
687.730 | + | 687.730i | 1.21722 | + | 1.21722i | |||||
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−567.117 | −1.00021 | |||||||||
0.150865 | + | 0.0958746i | 0.000265608 | + | 0.000168793i | |||||
1119.37 | 1.96727 | 0.983633 | − | 0.180185i | ||||||
0.983633 | + | 0.180185i | ||||||||
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0.563416 | + | 0.826174i | ||||||||
−232.556 | − | 293.664i | −0.406566 | − | 0.513399i | |||||
24.7563 | + | 24.7563i | 0.0432046 | + | 0.0432046i | |||||
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1130.35 | − | 497.054i | 1.96583 | − | 0.864441i | |||||
432.751 | − | 202.975i | 0.751303 | − | 0.352387i | |||||
804.212 | 1.39378 | 0.696891 | − | 0.717177i | ||||||
0.696891 | + | 0.717177i | ||||||||
−277.426 | + | 96.5449i | −0.479975 | + | 0.167033i | |||||
99.7610 | − | 99.7610i | 0.172299 | − | 0.172299i | |||||
57.6028 | + | 72.7391i | 0.0993152 | + | 0.125412i | |||||
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−316.930 | − | 153.292i | −0.544554 | − | 0.263388i | |||||
123.801i | 0.212352i | |||||||||
130.432 | + | 82.8890i | 0.223342 | + | 0.141933i | |||||
474.406 | 0.810951 | |||||||||
−84.0139 | + | 173.699i | −0.143368 | + | 0.296414i | |||||
437.230 | + | 437.230i | 0.744855 | + | 0.744855i | 0.973508 | − | 0.228653i | ||
−0.228653 | + | 0.973508i | ||||||||
−76.1473 | + | 655.724i | −0.129502 | + | 1.11518i | |||||
710.609 | + | 710.609i | 1.20647 | + | 1.20647i | |||||
581.610 | − | 202.402i | 0.985780 | − | 0.343054i | |||||
−95.0542 | −0.160836 | |||||||||
275.390 | + | 444.988i | 0.465186 | + | 0.751669i | |||||
−1084.67 | −1.82912 | −0.914561 | − | 0.404449i | ||||||
−0.914561 | + | 0.404449i | ||||||||
503.446 | − | 175.200i | 0.847552 | − | 0.294950i | |||||
1009.81 | + | 1009.81i | 1.69716 | + | 1.69716i | |||||
20.1205 | − | 173.263i | 0.0337593 | − | 0.290710i | |||||
192.045 | − | 192.045i | 0.321684 | − | 0.321684i | |||||
−329.181 | − | 11.9282i | −0.550469 | − | 0.0199469i | |||||
− | 266.048i | − | 0.444154i | −0.975029 | − | 0.222077i | ||||
0.975029 | − | 0.222077i | ||||||||
−518.785 | + | 115.621i | −0.864642 | + | 0.192702i | |||||
− | 1140.44i | − | 1.89757i | −0.315924 | − | 0.948784i | ||||
0.315924 | − | 0.948784i | ||||||||
−73.8837 | + | 152.754i | −0.122730 | + | 0.253745i | |||||
206.473 | − | 206.473i | 0.342409 | − | 0.342409i | |||||
378.396 | + | 477.827i | 0.626484 | + | 0.791105i | |||||
−313.827 | − | 313.827i | −0.518722 | − | 0.518722i | |||||
250.027 | − | 87.0102i | 0.412587 | − | 0.143581i | |||||
−35.5662 | −0.0585934 | −0.0292967 | − | 0.999571i | ||||||
−0.0292967 | + | 0.999571i | ||||||||
616.771 | − | 760.024i | 1.01443 | − | 1.25004i | |||||
− | 43.6997i | − | 0.0717565i | |||||||
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31.5654 | − | 31.5654i | 0.0516619 | − | 0.0516619i | |||||
−279.207 | + | 221.107i | −0.456220 | + | 0.361285i | |||||
558.143 | − | 558.143i | 0.910510 | − | 0.910510i | −0.0858021 | − | 0.996312i | ||
0.996312 | + | 0.0858021i | ||||||||
−372.331 | + | 769.793i | −0.606402 | + | 1.25373i | |||||
−670.988 | −1.09104 | |||||||||
307.337 | + | 1379.00i | 0.498923 | + | 2.23864i | |||||
838.248 | 1.35859 | 0.679293 | − | 0.733867i | ||||||
0.679293 | + | 0.733867i | ||||||||
188.898 | − | 390.546i | 0.305660 | − | 0.631951i | |||||
155.904 | − | 155.904i | 0.251865 | − | 0.251865i | −0.569870 | − | 0.821735i | ||
0.821735 | + | 0.569870i | ||||||||
−134.475 | + | 1158.00i | −0.216895 | + | 1.86774i | |||||
169.992 | − | 436.832i | 0.273738 | − | 0.703434i | |||||
−161.029 | − | 462.724i | −0.258889 | − | 0.743929i | |||||
−866.562 | −1.39095 | |||||||||
138.012 | + | 32.4922i | 0.221174 | + | 0.0520708i | |||||
−915.157 | −1.46425 | |||||||||
975.437 | − | 339.455i | 1.55821 | − | 0.542260i | |||||
350.040 | − | 350.040i | 0.558278 | − | 0.558278i | |||||
−194.303 | − | 22.5638i | −0.309399 | − | 0.0359297i | |||||
−275.717 | − | 275.717i | −0.438342 | − | 0.438342i | |||||
−1610.77 | − | 779.092i | −2.55678 | − | 1.23665i | |||||
−325.044 | −0.515126 | −0.257563 | − | 0.966262i | ||||||
−0.257563 | + | 0.966262i | ||||||||
493.918 | + | 313.884i | 0.781515 | + | 0.496652i | |||||
194.933i | 0.307951i | |||||||||
289.678 | − | 598.909i | 0.456906 | − | 0.944652i | |||||
−675.213 | + | 675.213i | −1.06333 | + | 1.06333i | |||||
−29.0913 | − | 36.7355i | −0.0457410 | − | 0.0577603i | |||||
675.250 | − | 675.250i | 1.06005 | − | 1.06005i | |||||
−22.4799 | − | 64.5968i | −0.0352349 | − | 0.101249i | |||||
0.166877 | 0.000261154 | |||||||||
1135.36 | + | 13.5497i | 1.77399 | + | 0.0211714i | |||||
− | 353.421i | − | 0.551359i | −0.961250 | − | 0.275680i | ||||
0.961250 | − | 0.275680i | ||||||||
87.2615 | + | 250.750i | 0.135921 | + | 0.390576i | |||||
−733.825 | − | 733.825i | −1.14125 | − | 1.14125i | −0.988221 | − | 0.153031i | ||
−0.153031 | − | 0.988221i | ||||||||
1098.09 | + | 581.096i | 1.70511 | + | 0.902323i | |||||
48.7683 | + | 48.7683i | 0.0756098 | + | 0.0756098i | |||||
−317.555 | + | 656.545i | −0.491572 | + | 1.01632i | |||||
− | 158.817i | − | 0.245467i | −0.992440 | − | 0.122733i | ||||
0.992440 | − | 0.122733i | ||||||||
180.199 | − | 283.556i | 0.278085 | − | 0.437586i | |||||
−453.954 | −0.699467 | |||||||||
692.176 | + | 334.789i | 1.06489 | + | 0.515061i | |||||
388.241 | − | 388.241i | 0.596377 | − | 0.596377i | |||||
−0.834178 | + | 7.18331i | −0.00127941 | + | 0.0110173i | |||||
−669.245 | + | 669.245i | −1.02488 | + | 1.02488i | −0.0251947 | + | 0.999683i | ||
−0.999683 | + | 0.0251947i | ||||||||
138.814 | − | 48.3078i | 0.212254 | − | 0.0738651i | |||||
1912.44i | 2.91976i | |||||||||
951.955 | + | 224.118i | 1.45115 | + | 0.341644i | |||||
144.275 | 0.219596 | |||||||||
−159.014 | + | 55.3371i | −0.241662 | + | 0.0840990i | |||||
405.338 | + | 405.338i | 0.615081 | + | 0.615081i | 0.944266 | − | 0.329185i | ||
−0.329185 | + | 0.944266i | ||||||||
570.420 | + | 66.2412i | 0.864272 | + | 0.100366i | |||||
324.045 | − | 324.045i | 0.490235 | − | 0.490235i | −0.418145 | − | 0.908380i | ||
0.908380 | + | 0.418145i | ||||||||
−162.742 | − | 78.7144i | −0.245833 | − | 0.118904i | |||||
−105.646 | −0.159345 | |||||||||
289.672 | − | 64.5588i | 0.436253 | − | 0.0972271i | |||||
−3664.02 | −5.50980 | |||||||||
439.803 | + | 212.723i | 0.660365 | + | 0.319403i | |||||
−56.0497 | − | 21.8115i | −0.0840325 | − | 0.0327009i | |||||
−772.075 | − | 974.952i | −1.15580 | − | 1.45951i | |||||
−138.698 | + | 138.698i | −0.207322 | + | 0.207322i | |||||
655.089 | − | 227.973i | 0.977745 | − | 0.340258i | |||||
661.172 | 0.985354 | |||||||||
−415.239 | − | 336.973i | −0.617915 | − | 0.501447i | |||||
−488.918 | −0.726475 | −0.363238 | − | 0.931697i | ||||||
−0.363238 | + | 0.931697i | ||||||||
239.433 | + | 688.021i | 0.355242 | + | 1.02080i | |||||
−773.685 | + | 773.685i | −1.14620 | + | 1.14620i | |||||
292.339 | + | 369.157i | 0.432455 | + | 0.546090i | |||||
−346.064 | + | 346.064i | −0.511173 | + | 0.511173i | −0.914886 | − | 0.403713i | ||
0.403713 | + | 0.914886i | ||||||||
244.295 | + | 118.160i | 0.360316 | + | 0.174277i | |||||
− | 1920.84i | − | 2.82893i | |||||||
−825.763 | + | 184.037i | −1.21436 | + | 0.270642i | |||||
−327.074 | −0.480285 | |||||||||
374.180 | − | 773.615i | 0.548650 | − | 1.13433i | |||||
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−0.858260 | + | 0.513215i | ||||||||
105.406 | − | 907.674i | 0.154102 | − | 1.32701i | |||||
531.790 | − | 531.790i | 0.776336 | − | 0.776336i | |||||
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− | 132.478i | − | 0.192836i | |||||||
−52.9002 | − | 85.4787i | −0.0768898 | − | 0.124242i | |||||
67.7871i | 0.0983847i | |||||||||
369.761 | − | 343.900i | 0.535885 | − | 0.498406i | |||||
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0.303923 | + | 0.952697i | ||||||||
66.4318 | − | 572.060i | 0.0959997 | − | 0.826677i | |||||
932.659 | + | 932.659i | 1.34583 | + | 1.34583i | |||||
471.875 | + | 228.235i | 0.679935 | + | 0.328869i | |||||
−585.048 | −0.841795 | |||||||||
21.8497 | + | 13.8854i | 0.0313932 | + | 0.0199503i | |||||
−728.702 | −1.04548 | |||||||||
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−0.991032 | + | 0.133626i | ||||||||
275.661 | − | 95.9306i | 0.392679 | − | 0.136653i | |||||
1000.42 | 1.42307 | |||||||||
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68.4336i | 0.0970689i | |||||||||
766.484 | − | 266.738i | 1.08567 | − | 0.377816i | |||||
1021.36 | + | 1021.36i | 1.44463 | + | 1.44463i | |||||
134.702 | − | 106.672i | 0.190257 | − | 0.150666i | |||||
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0.334414 | + | 0.942426i | ||||||||
0.356858 | + | 0.172604i | 0.000502617 | + | 0.000243104i | |||||
546.339 | 0.768410 | |||||||||
275.347 | − | 433.277i | 0.386723 | − | 0.608535i | |||||
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358.703 | + | 173.496i | 0.502385 | + | 0.242992i | |||||
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91.9967 | − | 792.207i | 0.128487 | − | 1.10643i | |||||
111.577 | − | 111.577i | 0.155616 | − | 0.155616i | |||||
82.2204 | − | 28.6129i | 0.114513 | − | 0.0398508i | |||||
−770.221 | −1.07124 | −0.535620 | − | 0.844459i | ||||||
−0.535620 | + | 0.844459i | ||||||||
901.359 | − | 557.825i | 1.25189 | − | 0.774756i | |||||
2367.01 | 3.28296 | |||||||||
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99.2711 | + | 99.2711i | 0.136926 | + | 0.136926i | |||||
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453.890 | 0.624333 | 0.312166 | − | 0.950027i | ||||||
0.312166 | + | 0.950027i | ||||||||
168.281 | + | 755.070i | 0.231156 | + | 1.03718i | |||||
− | 86.6644i | − | 0.118881i | |||||||
308.524 | + | 149.226i | 0.422636 | + | 0.204419i | |||||
52.9631 | + | 52.9631i | 0.0724529 | + | 0.0724529i | |||||
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−0.881488 | + | 0.472207i | ||||||||
−33.7541 | − | 96.9937i | −0.0459865 | − | 0.132144i | |||||
1463.94i | 1.99175i | |||||||||
−639.460 | + | 364.399i | −0.868831 | + | 0.495108i | |||||
−511.305 | −0.693766 | |||||||||
862.291 | − | 300.080i | 1.16842 | − | 0.406612i | |||||
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0.0827442 | + | 0.996571i | ||||||||
720.474 | + | 909.792i | 0.973614 | + | 1.22945i | |||||
191.664 | − | 191.664i | 0.258656 | − | 0.258656i | |||||
111.323 | − | 230.160i | 0.150031 | − | 0.310189i | |||||
1008.64 | 1.35753 | 0.678765 | − | 0.734356i | ||||||
0.678765 | + | 0.734356i | ||||||||
70.7566 | + | 317.481i | 0.0951030 | + | 0.426722i | |||||
− | 386.818i | − | 0.519219i | |||||||
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195.913 | − | 195.913i | 0.262267 | − | 0.262267i | |||||
619.484 | + | 71.9389i | 0.828187 | + | 0.0961750i | |||||
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0.992731 | − | 0.120351i | ||||||||
22.8577 | − | 97.0892i | 0.0303958 | − | 0.129108i | |||||
− | 239.038i | − | 0.317448i | |||||||
−12.3088 | − | 35.3698i | −0.0163247 | − | 0.0469096i | |||||
955.782 | + | 955.782i | 1.26594 | + | 1.26594i | |||||
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977.765 | − | 977.765i | 1.29163 | − | 1.29163i | 0.357854 | − | 0.933778i | ||
0.933778 | − | 0.357854i | ||||||||
183.393 | − | 379.165i | 0.241944 | − | 0.500218i | |||||
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1164.23 | − | 1831.99i | 1.53188 | − | 2.41052i | |||||
− | 989.507i | − | 1.30027i | −0.759818 | − | 0.650136i | ||||
0.759818 | − | 0.650136i | ||||||||
−116.009 | + | 239.848i | −0.152243 | + | 0.314761i | |||||
567.053 | + | 567.053i | 0.743189 | + | 0.743189i | |||||
−70.2546 | − | 88.7153i | −0.0919563 | − | 0.116120i | |||||
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44.4788 | + | 127.812i | 0.0580664 | + | 0.166856i | |||||
−248.562 | −0.324070 | |||||||||
300.426 | − | 100.546i | 0.391179 | − | 0.130919i | |||||
− | 80.4319i | − | 0.104593i | −0.998632 | − | 0.0522964i | ||||
0.998632 | − | 0.0522964i | ||||||||
1029.78 | + | 2959.11i | 1.33737 | + | 3.84300i | |||||
42.2493 | − | 42.2493i | 0.0547980 | − | 0.0547980i | |||||
−357.499 | + | 283.107i | −0.463081 | + | 0.366719i | |||||
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0.582282 | + | 0.812987i | ||||||||
−84.4827 | − | 40.8623i | −0.109151 | − | 0.0527937i | |||||
1763.91i | 2.27601i | |||||||||
960.414 | + | 610.342i | 1.23765 | + | 0.786523i | |||||
− | 546.579i | − | 0.703448i | |||||||
174.920 | − | 361.646i | 0.224832 | − | 0.464840i | |||||
1322.02 | − | 1322.02i | 1.69707 | − | 1.69707i | |||||
312.332 | + | 36.2702i | 0.400426 | + | 0.0465003i | |||||
−0.206626 | − | 0.206626i | −0.000264566 | − | 0.000264566i | |||||
401.565 | − | 373.480i | 0.513510 | − | 0.477597i | |||||
53.2932 | 0.0680628 | |||||||||
488.973 | − | 2076.94i | 0.623690 | − | 2.64916i | |||||
−433.791 | −0.552600 | |||||||||
175.378 | + | 503.957i | 0.223128 | + | 0.641167i | |||||
386.055 | + | 386.055i | 0.490541 | + | 0.490541i | 0.908477 | − | 0.417936i | ||
−0.417936 | + | 0.908477i | ||||||||
305.191 | + | 35.4410i | 0.387298 | + | 0.0449758i | |||||
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1168.32 | + | 565.088i | 1.47888 | + | 0.715302i | |||||
1480.62i | 1.87183i | |||||||||
−762.675 | + | 169.976i | −0.962973 | + | 0.214617i | |||||
362.023 | 0.456524 | |||||||||
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−73.4809 | − | 73.4809i | −0.0924288 | − | 0.0924288i | |||||
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162.290 | + | 162.290i | 0.203626 | + | 0.203626i | 0.801552 | − | 0.597926i | ||
−0.597926 | + | 0.801552i | ||||||||
−965.523 | + | 336.005i | −1.20993 | + | 0.421058i | |||||
74.3198i | 0.0930160i | |||||||||
1708.77 | − | 177.796i | 2.13597 | − | 0.222245i | |||||
− | 479.263i | − | 0.598331i | |||||||
−174.226 | − | 500.644i | −0.217239 | − | 0.624245i | |||||
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151.720 | − | 120.148i | 0.188706 | − | 0.149438i | |||||
2567.57 | + | 999.162i | 3.18953 | + | 1.24119i | |||||
204.881 | − | 423.591i | 0.254195 | − | 0.525548i | |||||
− | 474.037i | − | 0.587407i | |||||||
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− | 1355.76i | − | 1.67584i | −0.545791 | − | 0.837921i | ||||
0.545791 | − | 0.837921i | ||||||||
324.415 | − | 670.727i | 0.400512 | − | 0.828058i | |||||
643.692 | + | 643.692i | 0.793702 | + | 0.793702i | 0.982094 | − | 0.188392i | ||
−0.188392 | + | 0.982094i | ||||||||
−16.2934 | + | 140.307i | −0.0200658 | + | 0.172792i | |||||
216.564 | − | 216.564i | 0.266377 | − | 0.266377i | |||||
−281.170 | − | 807.952i | −0.345417 | − | 0.992570i | |||||
16.0371i | 0.0196774i | |||||||||
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−192.173 | −0.235217 | |||||||||
322.310 | + | 926.171i | 0.394022 | + | 1.13224i | |||||
510.675 | + | 510.675i | 0.623535 | + | 0.623535i | |||||
2154.34 | + | 250.178i | 2.62725 | + | 0.305095i | |||||
826.135 | + | 826.135i | 1.00625 | + | 1.00625i | 0.999980 | + | 0.00627455i | ||
0.00627455 | + | 0.999980i | ||||||||
91.3674 | − | 188.902i | 0.111153 | − | 0.229808i | |||||
1360.74i | 1.65339i | 0.562647 | + | 0.826697i | ||||||
−0.562647 | + | 0.826697i | ||||||||
−752.110 | + | 1183.50i | −0.912755 | + | 1.43628i | |||||
868.887 | 1.05320 | |||||||||
843.951 | + | 408.199i | 1.02173 | + | 0.494188i | |||||
446.717 | − | 446.717i | 0.540166 | − | 0.540166i | −0.383412 | − | 0.923578i | ||
0.923578 | + | 0.383412i | ||||||||
−321.382 | + | 607.313i | −0.388143 | + | 0.733470i | |||||
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0.552229 | + | 0.833693i | ||||||||
621.587 | − | 216.314i | 0.748901 | − | 0.260619i | |||||
264.788 | 0.318638 | |||||||||
−431.002 | − | 155.781i | −0.518032 | − | 0.187236i | |||||
1589.86i | 1.90859i | |||||||||
−154.169 | + | 53.6512i | −0.184855 | + | 0.0643299i | |||||
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−1254.39 | + | 993.363i | −1.50046 | + | 1.18823i | |||||
473.473 | + | 473.473i | 0.565678 | + | 0.565678i | |||||
−522.576 | − | 252.758i | −0.623600 | − | 0.301620i | |||||
−212.932 | −0.253793 | −0.126896 | − | 0.991916i | ||||||
−0.126896 | + | 0.991916i | ||||||||
−1000.91 | − | 636.076i | −1.19156 | − | 0.757233i | |||||
834.162i | 0.991869i | |||||||||
343.419 | − | 710.017i | 0.407860 | − | 0.843250i | |||||
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72.6807 | − | 625.872i | 0.0861146 | − | 0.741554i | |||||
738.412 | + | 738.412i | 0.873861 | + | 0.873861i | |||||
−30.6049 | − | 87.9444i | −0.0361760 | − | 0.103953i | |||||
− | 675.639i | − | 0.797684i | |||||||
79.7065 | + | 128.794i | 0.0939936 | + | 0.151879i | |||||
249.056i | 0.293352i | |||||||||
−1208.98 | + | 420.728i | −1.42233 | + | 0.494974i | |||||
−701.048 | − | 272.810i | −0.823793 | − | 0.320576i | |||||
0.109866 | + | 0.0127584i | 0.000128951 | + | 1.49747e-5i | |||||
319.516 | + | 319.516i | 0.374579 | + | 0.374579i | 0.869142 | − | 0.494563i | ||
−0.494563 | + | 0.869142i | ||||||||
−1229.19 | − | 594.532i | −1.43934 | − | 0.696173i | |||||
− | 2026.43i | − | 2.37009i | |||||||
−186.679 | − | 837.618i | −0.218083 | − | 0.978525i | |||||
1427.30i | 1.66547i | 0.553674 | + | 0.832733i | ||||||
−0.553674 | + | 0.832733i | ||||||||
−208.658 | − | 100.923i | −0.243191 | − | 0.117626i | |||||
−281.675 | − | 281.675i | −0.327911 | − | 0.327911i | 0.523881 | − | 0.851792i | ||
−0.851792 | + | 0.523881i | ||||||||
−138.397 | − | 174.764i | −0.160927 | − | 0.203214i | |||||
−722.286 | − | 722.286i | −0.838892 | − | 0.838892i | |||||
−216.573 | − | 622.333i | −0.251245 | − | 0.721963i | |||||
−1210.34 | −1.40248 | −0.701240 | − | 0.712925i | ||||||
−0.701240 | + | 0.712925i | ||||||||
410.949 | − | 506.397i | 0.475635 | − | 0.586108i | |||||
− | 1277.15i | − | 1.47648i | |||||||
−368.797 | − | 1059.75i | −0.425863 | − | 1.22373i | |||||
−128.522 | + | 128.522i | −0.148237 | + | 0.148237i | |||||
−1391.28 | + | 1101.77i | −1.60286 | + | 1.26932i | |||||
−676.473 | − | 676.473i | −0.778450 | − | 0.778450i | |||||
51.6834 | + | 24.9981i | 0.0594063 | + | 0.0287334i | |||||
−279.964 | −0.321428 | |||||||||
−463.703 | + | 103.345i | −0.531770 | + | 0.118515i | |||||
1062.35 | 1.21689 | |||||||||
−50.9515 | + | 1406.10i | −0.0582969 | + | 1.60881i | |||||
−2429.92 | − | 2429.92i | −2.77705 | − | 2.77705i | |||||
94.9854 | + | 11.0304i | 0.108431 | + | 0.0125918i | |||||
−427.618 | + | 427.618i | −0.487592 | + | 0.487592i | −0.907546 | − | 0.419954i | ||
0.419954 | + | 0.907546i | ||||||||
351.550 | + | 1010.19i | 0.400399 | + | 1.15056i | |||||
119.389i | 0.135824i | |||||||||
−1806.75 | − | 425.362i | −2.05312 | − | 0.483366i | |||||
609.490i | 0.691816i | 0.938269 | + | 0.345908i | ||||||
−0.938269 | + | 0.345908i | ||||||||
−654.703 | − | 1881.31i | −0.742293 | − | 2.13301i | |||||
−737.504 | + | 737.504i | −0.835225 | + | 0.835225i | −0.988226 | − | 0.153001i | ||
0.153001 | + | 0.988226i | ||||||||
339.197 | + | 39.3900i | 0.383707 | + | 0.0445588i | |||||
269.440 | − | 269.440i | 0.304452 | − | 0.304452i | |||||
496.583 | + | 240.186i | 0.560478 | + | 0.271090i | |||||
− | 1110.67i | − | 1.25216i | −0.779759 | − | 0.626080i | ||||
0.779759 | − | 0.626080i | ||||||||
273.287 | + | 173.674i | 0.307756 | + | 0.195578i | |||||
−1453.67 | −1.63517 | |||||||||
495.710 | − | 1024.88i | 0.556977 | − | 1.15155i | |||||
−388.360 | + | 388.360i | −0.435870 | + | 0.435870i | |||||
497.033 | − | 393.605i | 0.557211 | − | 0.441262i | |||||
−134.832 | − | 134.832i | −0.150988 | − | 0.150988i | |||||
−35.4728 | − | 101.932i | −0.0396787 | − | 0.114018i | |||||
− | 1768.64i | − | 1.97614i | |||||||
1207.57 | + | 1236.74i | 1.34773 | + | 1.38029i | |||||
−186.575 | + | 82.0433i | −0.207999 | + | 0.0914641i | |||||
291.295 | − | 101.371i | 0.324382 | − | 0.112886i | |||||
60.7510 | − | 60.7510i | 0.0675762 | − | 0.0675762i | |||||
1257.36 | − | 995.715i | 1.39707 | − | 1.10635i | |||||
−79.8013 | − | 79.8013i | −0.0885696 | − | 0.0885696i | |||||
−1439.24 | − | 696.125i | −1.59561 | − | 0.771758i | |||||
104.993i | 0.116272i | |||||||||
−740.301 | − | 470.460i | −0.818917 | − | 0.520421i | |||||
1603.79i | 1.77214i | |||||||||
339.512 | + | 164.214i | 0.374737 | + | 0.181251i | |||||
−743.443 | + | 743.443i | −0.819672 | + | 0.819672i | −0.986060 | − | 0.166388i | ||
0.166388 | + | 0.986060i | ||||||||
1050.14 | + | 121.949i | 1.15654 | + | 0.134306i | |||||
−564.874 | + | 564.874i | −0.621423 | + | 0.621423i | |||||
563.853 | + | 1620.25i | 0.619618 | + | 1.78050i | |||||
− | 1154.54i | − | 1.26733i | −0.773607 | − | 0.633665i | ||||
0.773607 | − | 0.633665i | ||||||||
138.791 | − | 589.521i | 0.152183 | − | 0.646405i | |||||
−485.157 | −0.531388 | |||||||||
−715.206 | + | 248.894i | −0.782501 | + | 0.272313i | |||||
−392.432 | + | 392.432i | −0.428887 | + | 0.428887i | |||||
−49.3946 | + | 425.349i | −0.0539242 | + | 0.464355i | |||||
−2058.65 | + | 2058.65i | −2.24499 | + | 2.24499i | |||||
−211.584 | + | 437.450i | −0.230484 | + | 0.476525i | |||||
−1153.62 | −1.25530 | −0.627649 | − | 0.778497i | ||||||
−0.627649 | + | 0.778497i | ||||||||
−1315.41 | + | 966.296i | −1.42980 | + | 1.05032i | |||||
529.106i | 0.574490i | |||||||||
−375.981 | + | 777.340i | −0.407789 | + | 0.843102i | |||||
−0.113138 | − | 0.113138i | −0.000122576 | − | 0.000122576i | |||||
542.724 | + | 685.334i | 0.587363 | + | 0.741704i | |||||
1241.65 | + | 1241.65i | 1.34232 | + | 1.34232i | |||||
−1012.92 | + | 352.498i | −1.09386 | + | 0.380668i | |||||
1309.11i | 1.41220i | |||||||||
−64.9756 | − | 52.7286i | −0.0700168 | − | 0.0568196i | |||||
841.858 | 0.906199 | 0.453099 | − | 0.891460i | ||||||
0.453099 | + | 0.891460i | ||||||||
237.081 | + | 681.261i | 0.254926 | + | 0.732539i | |||||
−2884.34 | − | 2884.34i | −3.09811 | − | 3.09811i | |||||
498.486 | + | 629.473i | 0.534857 | + | 0.675401i | |||||
−214.364 | − | 214.364i | −0.229758 | − | 0.229758i | |||||
832.229 | + | 402.530i | 0.891037 | + | 0.430974i | |||||
1383.03 | 1.47918 | |||||||||
−417.601 | + | 93.0702i | −0.446155 | + | 0.0994340i | |||||
1678.33 | 1.79118 | 0.895588 | − | 0.444884i | ||||||
0.895588 | + | 0.444884i | ||||||||
950.573 | + | 459.770i | 1.01340 | + | 0.490160i | |||||
451.886 | − | 451.886i | 0.481241 | − | 0.481241i | |||||
25.5154 | − | 219.720i | 0.0271441 | − | 0.233744i | |||||
−579.610 | − | 579.610i | −0.615951 | − | 0.615951i | 0.328539 | − | 0.944490i | ||
−0.944490 | + | 0.328539i | ||||||||
−114.310 | + | 39.7803i | −0.121349 | + | 0.0422296i | |||||
−1286.92 | + | 565.902i | −1.36471 | + | 0.600108i | |||||
−472.260 | + | 292.268i | −0.500276 | + | 0.309606i | |||||
−2441.30 | −2.58339 | |||||||||
54.0104 | + | 155.201i | 0.0570935 | + | 0.164060i | |||||
−463.504 | + | 463.504i | −0.489445 | + | 0.489445i | −0.908131 | − | 0.418686i | ||
0.418686 | + | 0.908131i | ||||||||
359.690 | + | 41.7698i | 0.379420 | + | 0.0440610i | |||||
−97.8139 | − | 97.8139i | −0.103071 | − | 0.103071i | |||||
1430.06 | − | 2956.64i | 1.50532 | − | 3.11225i | |||||
− | 411.652i | − | 0.432862i | |||||||
−1087.00 | − | 690.787i | −1.14181 | − | 0.725617i | |||||
1575.01 | 1.65268 | 0.826342 | − | 0.563169i | ||||||
0.826342 | + | 0.563169i | ||||||||
127.293 | + | 61.5686i | 0.133431 | + | 0.0645373i | |||||
−177.454 | − | 177.454i | −0.185816 | − | 0.185816i | |||||
−399.842 | + | 316.639i | −0.418245 | + | 0.331212i | |||||
−29.9254 | − | 29.9254i | −0.0312701 | − | 0.0312701i | |||||
303.774 | + | 872.907i | 0.317092 | + | 0.911176i | |||||
1144.89 | 1.19384 | |||||||||
636.070 | − | 298.339i | 0.662573 | − | 0.310770i | |||||
118.460 | 0.123267 | |||||||||
−153.954 | − | 442.392i | −0.160035 | − | 0.459867i | |||||
−566.505 | − | 566.505i | −0.588271 | − | 0.588271i | |||||
567.062 | + | 716.068i | 0.588238 | + | 0.742809i | |||||
−715.093 | + | 715.093i | −0.741029 | + | 0.741029i | |||||
768.221 | + | 27.8374i | 0.795260 | + | 0.0288171i | |||||
− | 28.9033i | − | 0.0298897i | −0.999888 | − | 0.0149448i | ||||
0.999888 | − | 0.0149448i | ||||||||
337.816 | + | 214.682i | 0.348984 | + | 0.221779i | |||||
451.266i | 0.465703i | |||||||||
2271.78 | + | 1098.80i | 2.34204 | + | 1.13279i | |||||
−944.362 | + | 944.362i | −0.972567 | + | 0.972567i | −0.999634 | − | 0.0270668i | ||
0.0270668 | + | 0.999634i | ||||||||
108.612 | − | 935.283i | 0.111741 | − | 0.962225i | |||||
−629.776 | − | 629.776i | −0.647251 | − | 0.647251i | |||||
−245.634 | − | 705.841i | −0.252191 | − | 0.724682i | |||||
475.757 | 0.487956 | |||||||||
687.835 | − | 425.681i | 0.704749 | − | 0.436148i | |||||
− | 527.542i | − | 0.539961i | −0.962866 | − | 0.269981i | ||||
0.962866 | − | 0.269981i | ||||||||
1.47067 | + | 4.22602i | 0.00150375 | + | 0.00432108i | |||||
−593.419 | + | 593.419i | −0.606148 | + | 0.606148i | |||||
545.829 | − | 4700.27i | 0.556968 | − | 4.79619i | |||||
−313.616 | + | 313.616i | −0.319690 | + | 0.319690i | |||||
−1317.97 | − | 637.470i | −1.34213 | − | 0.649155i | |||||
−361.383 | −0.367633 | −0.183816 | − | 0.982961i | ||||||
−0.183816 | + | 0.982961i | ||||||||
590.643 | − | 131.636i | 0.600247 | − | 0.133776i | |||||
681.354 | 0.691730 | |||||||||
56.1290 | + | 27.1483i | 0.0569259 | + | 0.0275337i | |||||
−73.6654 | + | 73.6654i | −0.0746357 | + | 0.0746357i | |||||
−686.837 | + | 543.913i | −0.695179 | + | 0.550520i | |||||
134.666 | + | 52.4046i | 0.136164 | + | 0.0529875i | |||||
−1636.57 | + | 569.532i | −1.65310 | + | 0.575284i | |||||
193.580 | 0.195338 | 0.0976690 | − | 0.995219i | ||||||
0.0976690 | + | 0.995219i | ||||||||
−108.806 | − | 1045.72i | −0.109683 | − | 1.05415i | |||||
−111.858 | −0.112647 | |||||||||
0.198341 | + | 0.569941i | 0.000199538 | + | 0.000573381i | |||||
−1376.59 | + | 1376.59i | −1.38351 | + | 1.38351i | |||||
143.961 | − | 114.004i | 0.144539 | − | 0.114462i | |||||
963.584 | + | 963.584i | 0.966484 | + | 0.966484i | 0.999456 | − | 0.0329724i | ||
−0.0329724 | + | 0.999456i | ||||||||
−331.490 | + | 685.356i | −0.332155 | + | 0.686729i | |||||
666.571 | 0.667238 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 368.3.k.b.229.12 | yes | 176 | |
16.13 | even | 4 | inner | 368.3.k.b.45.11 | ✓ | 176 | |
23.22 | odd | 2 | inner | 368.3.k.b.229.11 | yes | 176 | |
368.45 | odd | 4 | inner | 368.3.k.b.45.12 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
368.3.k.b.45.11 | ✓ | 176 | 16.13 | even | 4 | inner | |
368.3.k.b.45.12 | yes | 176 | 368.45 | odd | 4 | inner | |
368.3.k.b.229.11 | yes | 176 | 23.22 | odd | 2 | inner | |
368.3.k.b.229.12 | yes | 176 | 1.1 | even | 1 | trivial |