Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,3,Mod(19,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 48.l (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 43.3 | ||
Root | of defining polynomial | ||
Character | 48.43 | ||
Dual form | 48.3.l.a.19.3 |
-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 .
−1.78012 | − | 0.911682i | −0.890061 | − | 0.455841i | |||||
1.22474 | + | 1.22474i | 0.408248 | + | 0.408248i | |||||
2.33767 | + | 3.24581i | 0.584418 | + | 0.811453i | |||||
1.00772 | + | 1.00772i | 0.201544 | + | 0.201544i | 0.800661 | − | 0.599117i | ||
−0.599117 | + | 0.800661i | ||||||||
−1.06362 | − | 3.29677i | −0.177270 | − | 0.549462i | |||||
10.0236 | 1.43194 | 0.715969 | − | 0.698133i | ||||||
0.715969 | + | 0.698133i | ||||||||
−1.20220 | − | 7.90915i | −0.150274 | − | 0.988644i | |||||
3.00000i | 0.333333i | |||||||||
−0.875146 | − | 2.71259i | −0.0875146 | − | 0.271259i | |||||
2.26517 | − | 2.26517i | 0.205925 | − | 0.205925i | −0.596608 | − | 0.802533i | ||
0.802533 | + | 0.596608i | ||||||||
−1.11224 | + | 6.83834i | −0.0926865 | + | 0.569862i | |||||
−6.88229 | + | 6.88229i | −0.529407 | + | 0.529407i | −0.920395 | − | 0.390989i | ||
0.390989 | + | 0.920395i | ||||||||
−17.8432 | − | 9.13830i | −1.27451 | − | 0.652736i | |||||
2.46840i | 0.164560i | |||||||||
−5.07058 | + | 15.1753i | −0.316911 | + | 0.948455i | |||||
−22.3801 | −1.31648 | −0.658240 | − | 0.752809i | ||||||
−0.658240 | + | 0.752809i | ||||||||
2.73505 | − | 5.34037i | 0.151947 | − | 0.296687i | |||||
−16.8918 | − | 16.8918i | −0.889041 | − | 0.889041i | 0.105390 | − | 0.994431i | ||
−0.994431 | + | 0.105390i | ||||||||
−0.915151 | + | 5.62660i | −0.0457575 | + | 0.281330i | |||||
12.2763 | + | 12.2763i | 0.584586 | + | 0.584586i | |||||
−6.09740 | + | 1.96717i | −0.277155 | + | 0.0894167i | |||||
33.2007 | 1.44351 | 0.721755 | − | 0.692149i | ||||||
0.721755 | + | 0.692149i | ||||||||
8.21431 | − | 11.1591i | 0.342263 | − | 0.464962i | |||||
− | 22.9690i | − | 0.918760i | |||||||
18.5258 | − | 5.97686i | 0.712530 | − | 0.229879i | |||||
−3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | |||||
23.4318 | + | 32.5346i | 0.836850 | + | 1.16195i | |||||
−24.6412 | + | 24.6412i | −0.849696 | + | 0.849696i | −0.990095 | − | 0.140399i | ||
0.140399 | + | 0.990095i | ||||||||
2.25040 | − | 4.39406i | 0.0750133 | − | 0.146469i | |||||
− | 41.3761i | − | 1.33471i | −0.744738 | − | 0.667357i | ||||
0.744738 | − | 0.667357i | ||||||||
22.8613 | − | 22.3911i | 0.714415 | − | 0.699722i | |||||
5.54852 | 0.168137 | |||||||||
39.8394 | + | 20.4036i | 1.17175 | + | 0.600105i | |||||
10.1010 | + | 10.1010i | 0.288599 | + | 0.288599i | |||||
−9.73743 | + | 7.01302i | −0.270484 | + | 0.194806i | |||||
−6.60031 | − | 6.60031i | −0.178387 | − | 0.178387i | 0.612266 | − | 0.790652i | ||
−0.790652 | + | 0.612266i | ||||||||
14.6695 | + | 45.4693i | 0.386039 | + | 1.19656i | |||||
−16.8581 | −0.432259 | |||||||||
6.75875 | − | 9.18170i | 0.168969 | − | 0.229543i | |||||
− | 47.1477i | − | 1.14994i | −0.818173 | − | 0.574972i | ||||
0.818173 | − | 0.574972i | ||||||||
−10.6612 | − | 33.0454i | −0.253839 | − | 0.786795i | |||||
−48.8218 | + | 48.8218i | −1.13539 | + | 1.13539i | −0.146124 | + | 0.989266i | ||
−0.989266 | + | 0.146124i | ||||||||
12.6475 | + | 2.05709i | 0.287444 | + | 0.0467521i | |||||
−3.02316 | + | 3.02316i | −0.0671814 | + | 0.0671814i | |||||
−59.1013 | − | 30.2685i | −1.28481 | − | 0.658011i | |||||
45.6048i | 0.970315i | 0.874427 | + | 0.485157i | ||||||
−0.874427 | + | 0.485157i | ||||||||
−24.7960 | + | 12.3757i | −0.516584 | + | 0.257827i | |||||
51.4717 | 1.05044 | |||||||||
−20.9404 | + | 40.8876i | −0.418808 | + | 0.817752i | |||||
−27.4100 | − | 27.4100i | −0.537450 | − | 0.537450i | |||||
−38.4271 | − | 6.25007i | −0.738983 | − | 0.120194i | |||||
25.1401 | + | 25.1401i | 0.474341 | + | 0.474341i | 0.903316 | − | 0.428975i | ||
−0.428975 | + | 0.903316i | ||||||||
9.89032 | − | 3.19085i | 0.183154 | − | 0.0590899i | |||||
4.56532 | 0.0830059 | |||||||||
−12.0503 | − | 79.2779i | −0.215184 | − | 1.41568i | |||||
− | 41.3762i | − | 0.725899i | |||||||
66.3292 | − | 21.3994i | 1.14361 | − | 0.368955i | |||||
6.23974 | − | 6.23974i | 0.105758 | − | 0.105758i | −0.652248 | − | 0.758006i | ||
0.758006 | + | 0.652248i | ||||||||
−8.01197 | + | 5.77032i | −0.133533 | + | 0.0961720i | |||||
35.9513 | − | 35.9513i | 0.589366 | − | 0.589366i | −0.348093 | − | 0.937460i | ||
0.937460 | + | 0.348093i | ||||||||
−37.7219 | + | 73.6546i | −0.608417 | + | 1.18798i | |||||
30.0707i | 0.477312i | |||||||||
−61.1095 | + | 19.0167i | −0.954835 | + | 0.297136i | |||||
−13.8709 | −0.213398 | |||||||||
−9.87704 | − | 5.05848i | −0.149652 | − | 0.0766437i | |||||
10.2045 | + | 10.2045i | 0.152307 | + | 0.152307i | 0.779147 | − | 0.626841i | ||
−0.626841 | + | 0.779147i | ||||||||
−52.3174 | − | 72.6417i | −0.769374 | − | 1.06826i | |||||
40.6624 | + | 40.6624i | 0.589310 | + | 0.589310i | |||||
−8.77208 | − | 27.1898i | −0.125315 | − | 0.388426i | |||||
11.9529 | 0.168350 | 0.0841752 | − | 0.996451i | ||||||
0.0841752 | + | 0.996451i | ||||||||
23.7275 | − | 3.60659i | 0.329548 | − | 0.0500915i | |||||
111.332i | 1.52510i | 0.646929 | + | 0.762550i | ||||||
−0.646929 | + | 0.762550i | ||||||||
5.73197 | + | 17.7667i | 0.0774591 | + | 0.240091i | |||||
28.1312 | − | 28.1312i | 0.375082 | − | 0.375082i | |||||
15.3401 | − | 94.3149i | 0.201843 | − | 1.24099i | |||||
22.7051 | − | 22.7051i | 0.294871 | − | 0.294871i | |||||
30.0095 | + | 15.3692i | 0.384737 | + | 0.197041i | |||||
4.46031i | 0.0564596i | 0.999601 | + | 0.0282298i | ||||||
−0.999601 | + | 0.0282298i | ||||||||
−20.4022 | + | 10.1827i | −0.255027 | + | 0.127284i | |||||
−9.00000 | −0.111111 | |||||||||
−42.9837 | + | 83.9287i | −0.524192 | + | 1.02352i | |||||
10.1751 | + | 10.1751i | 0.122592 | + | 0.122592i | 0.765741 | − | 0.643149i | ||
−0.643149 | + | 0.765741i | ||||||||
−11.1486 | + | 68.5445i | −0.132721 | + | 0.816006i | |||||
−22.5530 | − | 22.5530i | −0.265329 | − | 0.265329i | |||||
131.419 | − | 42.3988i | 1.52812 | − | 0.493010i | |||||
−60.3583 | −0.693774 | |||||||||
−20.6388 | − | 15.1924i | −0.234532 | − | 0.172641i | |||||
− | 21.9364i | − | 0.246476i | −0.992377 | − | 0.123238i | ||||
0.992377 | − | 0.123238i | ||||||||
8.13777 | − | 2.62544i | 0.0904196 | − | 0.0291715i | |||||
−68.9850 | + | 68.9850i | −0.758077 | + | 0.758077i | |||||
77.6124 | + | 107.763i | 0.843613 | + | 1.17134i | |||||
50.6752 | − | 50.6752i | 0.544895 | − | 0.544895i | |||||
41.5771 | − | 81.1821i | 0.442309 | − | 0.863640i | |||||
− | 34.0444i | − | 0.358362i | |||||||
55.4226 | + | 0.575837i | 0.577319 | + | 0.00599830i | |||||
107.309 | 1.10628 | 0.553140 | − | 0.833088i | ||||||
0.553140 | + | 0.833088i | ||||||||
−91.6260 | − | 46.9259i | −0.934959 | − | 0.478835i | |||||
6.79552 | + | 6.79552i | 0.0686416 | + | 0.0686416i | |||||
74.5530 | − | 53.6940i | 0.745530 | − | 0.536940i | |||||
−100.780 | − | 100.780i | −0.997824 | − | 0.997824i | 0.00217389 | − | 0.999998i | ||
−0.999998 | + | 0.00217389i | ||||||||
23.8039 | + | 73.7823i | 0.233372 | + | 0.723356i | |||||
58.0562 | 0.563653 | 0.281826 | − | 0.959465i | ||||||
0.281826 | + | 0.959465i | ||||||||
62.7069 | + | 46.1592i | 0.602951 | + | 0.443839i | |||||
24.7422i | 0.235640i | |||||||||
−21.8327 | − | 67.6722i | −0.205968 | − | 0.638417i | |||||
112.747 | − | 112.747i | 1.05371 | − | 1.05371i | 0.0552381 | − | 0.998473i | ||
0.998473 | − | 0.0552381i | ||||||||
−20.5150 | − | 3.33671i | −0.189954 | − | 0.0308955i | |||||
−81.1384 | + | 81.1384i | −0.744389 | + | 0.744389i | −0.973419 | − | 0.229030i | ||
0.229030 | + | 0.973419i | ||||||||
−8.12684 | − | 4.16212i | −0.0738803 | − | 0.0378375i | |||||
− | 16.1674i | − | 0.145652i | |||||||
−50.8252 | + | 152.110i | −0.453797 | + | 1.35813i | |||||
−171.844 | −1.52074 | −0.760371 | − | 0.649489i | ||||||
−0.760371 | + | 0.649489i | ||||||||
−37.7219 | + | 73.6547i | −0.330894 | + | 0.646094i | |||||
33.4571 | + | 33.4571i | 0.290931 | + | 0.290931i | |||||
−137.584 | − | 22.3776i | −1.18607 | − | 0.192910i | |||||
−20.6469 | − | 20.6469i | −0.176469 | − | 0.176469i | |||||
−16.7962 | + | 5.41884i | −0.142340 | + | 0.0459224i | |||||
−224.329 | −1.88512 | |||||||||
19.5230 | − | 2.96750i | 0.162692 | − | 0.0247292i | |||||
110.738i | 0.915190i | |||||||||
−96.7740 | + | 31.2216i | −0.793230 | + | 0.255915i | |||||
57.7439 | − | 57.7439i | 0.469463 | − | 0.469463i | |||||
134.299 | − | 96.7238i | 1.08306 | − | 0.780031i | |||||
48.3394 | − | 48.3394i | 0.386715 | − | 0.386715i | |||||
27.4149 | − | 53.5295i | 0.217579 | − | 0.424837i | |||||
− | 36.8333i | − | 0.290026i | −0.989430 | − | 0.145013i | ||||
0.989430 | − | 0.145013i | ||||||||
126.119 | + | 21.8603i | 0.985309 | + | 0.170784i | |||||
−119.588 | −0.927042 | |||||||||
24.6918 | + | 12.6458i | 0.189937 | + | 0.0972754i | |||||
−12.3686 | − | 12.3686i | −0.0944170 | − | 0.0944170i | 0.658321 | − | 0.752738i | ||
−0.752738 | + | 0.658321i | ||||||||
12.9706 | + | 18.0094i | 0.0982622 | + | 0.136435i | |||||
−169.316 | − | 169.316i | −1.27305 | − | 1.27305i | |||||
−8.86204 | − | 27.4686i | −0.0661347 | − | 0.204990i | |||||
−7.40521 | −0.0548534 | |||||||||
26.9053 | + | 177.008i | 0.197833 | + | 1.30153i | |||||
145.679i | 1.06335i | 0.846949 | + | 0.531674i | ||||||
−0.846949 | + | 0.531674i | ||||||||
−35.3129 | − | 109.455i | −0.255890 | − | 0.793154i | |||||
82.5709 | − | 82.5709i | 0.594035 | − | 0.594035i | −0.344684 | − | 0.938719i | ||
0.938719 | + | 0.344684i | ||||||||
−9.17307 | + | 56.3985i | −0.0655219 | + | 0.402847i | |||||
−55.8542 | + | 55.8542i | −0.396129 | + | 0.396129i | |||||
−21.2776 | − | 10.8972i | −0.149842 | − | 0.0767410i | |||||
31.1791i | 0.218036i | |||||||||
−45.5259 | − | 15.2117i | −0.316152 | − | 0.105637i | |||||
−49.6629 | −0.342503 | |||||||||
101.500 | − | 198.185i | 0.695203 | − | 1.35743i | |||||
63.0398 | + | 63.0398i | 0.428842 | + | 0.428842i | |||||
5.99399 | − | 36.8527i | 0.0405000 | − | 0.249005i | |||||
196.248 | + | 196.248i | 1.31710 | + | 1.31710i | 0.916059 | + | 0.401043i | ||
0.401043 | + | 0.916059i | ||||||||
−75.7236 | + | 24.4302i | −0.504824 | + | 0.162868i | |||||
64.5007 | 0.427157 | 0.213578 | − | 0.976926i | ||||||
0.213578 | + | 0.976926i | ||||||||
−113.292 | + | 153.907i | −0.745345 | + | 1.01254i | |||||
− | 67.1404i | − | 0.438826i | |||||||
−61.1177 | + | 19.7180i | −0.396868 | + | 0.128039i | |||||
41.6956 | − | 41.6956i | 0.269004 | − | 0.269004i | |||||
−39.4087 | − | 54.7182i | −0.252620 | − | 0.350758i | |||||
54.4202 | − | 54.4202i | 0.346625 | − | 0.346625i | −0.512226 | − | 0.858851i | ||
0.858851 | + | 0.512226i | ||||||||
4.06638 | − | 7.93990i | 0.0257366 | − | 0.0502525i | |||||
61.5803i | 0.387298i | |||||||||
45.6018 | + | 0.473799i | 0.285011 | + | 0.00296124i | |||||
332.789 | 2.06701 | |||||||||
16.0211 | + | 8.20514i | 0.0988957 | + | 0.0506490i | |||||
104.803 | + | 104.803i | 0.642961 | + | 0.642961i | 0.951282 | − | 0.308321i | ||
−0.308321 | + | 0.951282i | ||||||||
153.033 | − | 110.216i | 0.933126 | − | 0.672048i | |||||
5.59136 | + | 5.59136i | 0.0338870 | + | 0.0338870i | |||||
−8.83647 | − | 27.3894i | −0.0532317 | − | 0.164996i | |||||
53.3110 | 0.319228 | 0.159614 | − | 0.987180i | ||||||
0.159614 | + | 0.987180i | ||||||||
82.3367 | − | 111.854i | 0.490099 | − | 0.665796i | |||||
74.2683i | 0.439457i | |||||||||
19.5859 | + | 60.7081i | 0.115211 | + | 0.357107i | |||||
50.6753 | − | 50.6753i | 0.296347 | − | 0.296347i | |||||
−272.596 | − | 44.3370i | −1.58486 | − | 0.257773i | |||||
−41.5780 | + | 41.5780i | −0.240335 | + | 0.240335i | −0.816989 | − | 0.576654i | ||
0.576654 | + | 0.816989i | ||||||||
107.445 | + | 55.0276i | 0.617501 | + | 0.316251i | |||||
− | 230.231i | − | 1.31561i | |||||||
22.8889 | + | 45.8604i | 0.130051 | + | 0.260570i | |||||
15.2842 | 0.0863513 | |||||||||
−19.9990 | + | 39.0495i | −0.112354 | + | 0.219379i | |||||
53.0709 | + | 53.0709i | 0.296486 | + | 0.296486i | 0.839636 | − | 0.543150i | ||
−0.543150 | + | 0.839636i | ||||||||
−16.8798 | − | 2.74545i | −0.0937766 | − | 0.0152525i | |||||
−66.6042 | − | 66.6042i | −0.367979 | − | 0.367979i | 0.498761 | − | 0.866740i | ||
−0.866740 | + | 0.498761i | ||||||||
185.694 | − | 59.9094i | 1.02030 | − | 0.329172i | |||||
88.0625 | 0.481216 | |||||||||
−39.9138 | − | 262.590i | −0.216923 | − | 1.42712i | |||||
− | 13.3025i | − | 0.0719056i | |||||||
−136.408 | + | 44.0084i | −0.733375 | + | 0.236604i | |||||
−50.6949 | + | 50.6949i | −0.271096 | + | 0.271096i | |||||
−148.025 | + | 106.609i | −0.787365 | + | 0.567070i | |||||
−36.8289 | + | 36.8289i | −0.194862 | + | 0.194862i | |||||
−31.0377 | + | 60.6032i | −0.163356 | + | 0.318964i | |||||
113.753i | 0.595567i | 0.954633 | + | 0.297784i | ||||||
−0.954633 | + | 0.297784i | ||||||||
−98.1341 | − | 51.5529i | −0.511115 | − | 0.268505i | |||||
−26.5596 | −0.137615 | −0.0688073 | − | 0.997630i | ||||||
−0.0688073 | + | 0.997630i | ||||||||
−191.023 | − | 97.8318i | −0.984657 | − | 0.504288i | |||||
−16.9883 | − | 16.9883i | −0.0871193 | − | 0.0871193i | |||||
120.324 | + | 167.068i | 0.613898 | + | 0.852386i | |||||
51.8935 | + | 51.8935i | 0.263419 | + | 0.263419i | 0.826442 | − | 0.563023i | ||
−0.563023 | + | 0.826442i | ||||||||
−5.90150 | − | 18.2922i | −0.0298056 | − | 0.0923848i | |||||
−136.741 | −0.687140 | −0.343570 | − | 0.939127i | ||||||
−0.343570 | + | 0.939127i | ||||||||
−181.665 | + | 27.6132i | −0.908327 | + | 0.138066i | |||||
24.9959i | 0.124358i | |||||||||
87.5216 | + | 271.281i | 0.433275 | + | 1.34297i | |||||
−246.992 | + | 246.992i | −1.21671 | + | 1.21671i | |||||
24.8921 | − | 153.043i | 0.122020 | − | 0.750211i | |||||
47.5118 | − | 47.5118i | 0.231765 | − | 0.231765i | |||||
−103.347 | − | 52.9288i | −0.501686 | − | 0.256936i | |||||
99.6022i | 0.481170i | |||||||||
−69.5435 | − | 139.338i | −0.334344 | − | 0.669893i | |||||
−76.5255 | −0.366151 | |||||||||
22.5570 | − | 44.0441i | 0.107414 | − | 0.209734i | |||||
−141.171 | − | 141.171i | −0.669057 | − | 0.669057i | 0.288441 | − | 0.957498i | ||
−0.957498 | + | 0.288441i | ||||||||
−22.8307 | + | 140.369i | −0.107692 | + | 0.662119i | |||||
14.6392 | + | 14.6392i | 0.0687288 | + | 0.0687288i | |||||
−303.493 | + | 97.9142i | −1.41819 | + | 0.457543i | |||||
−98.3975 | −0.457663 | |||||||||
33.4772 | + | 24.6429i | 0.154987 | + | 0.114088i | |||||
− | 414.736i | − | 1.91123i | |||||||
218.409 | − | 70.4639i | 1.00188 | − | 0.323229i | |||||
−136.354 | + | 136.354i | −0.622620 | + | 0.622620i | |||||
10.6722 | + | 14.8182i | 0.0485101 | + | 0.0673554i | |||||
154.027 | − | 154.027i | 0.696953 | − | 0.696953i | |||||
−14.7395 | + | 28.7799i | −0.0663942 | + | 0.129639i | |||||
122.607i | 0.549806i | 0.961472 | + | 0.274903i | ||||||
−0.961472 | + | 0.274903i | ||||||||
229.151 | − | 224.439i | 1.02300 | − | 1.00196i | |||||
68.9070 | 0.306253 | |||||||||
305.903 | + | 156.667i | 1.35355 | + | 0.693216i | |||||
−295.844 | − | 295.844i | −1.30328 | − | 1.30328i | −0.926168 | − | 0.377112i | ||
−0.377112 | − | 0.926168i | ||||||||
134.299 | − | 96.7240i | 0.589032 | − | 0.424228i | |||||
73.3817 | + | 73.3817i | 0.320444 | + | 0.320444i | 0.848937 | − | 0.528493i | ||
−0.528493 | + | 0.848937i | ||||||||
−29.0555 | − | 90.0599i | −0.126328 | − | 0.391565i | |||||
55.6159 | 0.240761 | |||||||||
224.514 | + | 165.267i | 0.967735 | + | 0.712359i | |||||
− | 156.229i | − | 0.670509i | −0.942128 | − | 0.335255i | ||||
0.942128 | − | 0.335255i | ||||||||
17.9306 | + | 55.5773i | 0.0766264 | + | 0.237510i | |||||
−45.9569 | + | 45.9569i | −0.195561 | + | 0.195561i | |||||
34.8395 | + | 5.66655i | 0.147625 | + | 0.0240108i | |||||
−5.46274 | + | 5.46274i | −0.0230495 | + | 0.0230495i | |||||
399.333 | + | 204.516i | 1.67787 | + | 0.859313i | |||||
13.1716i | 0.0551113i | 0.999620 | + | 0.0275557i | ||||||
−0.999620 | + | 0.0275557i | ||||||||
−37.4587 | − | 12.5162i | −0.156078 | − | 0.0521510i | |||||
−189.519 | −0.786386 | −0.393193 | − | 0.919456i | ||||||
−0.393193 | + | 0.919456i | ||||||||
100.958 | − | 197.127i | 0.417181 | − | 0.814575i | |||||
−11.0227 | − | 11.0227i | −0.0453609 | − | 0.0453609i | |||||
200.734 | + | 32.6488i | 0.822679 | + | 0.133807i | |||||
51.8692 | + | 51.8692i | 0.211711 | + | 0.211711i | |||||
−155.435 | + | 50.1472i | −0.631851 | + | 0.203850i | |||||
232.508 | 0.941328 | |||||||||
−327.250 | + | 49.7422i | −1.31956 | + | 0.200573i | |||||
24.9238i | 0.100096i | |||||||||
−130.120 | + | 41.9799i | −0.520481 | + | 0.167920i | |||||
−27.4434 | + | 27.4434i | −0.109336 | + | 0.109336i | −0.759658 | − | 0.650322i | ||
0.650322 | + | 0.759658i | ||||||||
−97.6037 | + | 70.2954i | −0.387316 | + | 0.278950i | |||||
75.2053 | − | 75.2053i | 0.297254 | − | 0.297254i | |||||
−33.5802 | + | 65.5678i | −0.132206 | + | 0.258141i | |||||
− | 55.2432i | − | 0.216640i | |||||||
−204.578 | − | 153.895i | −0.799135 | − | 0.601152i | |||||
135.375 | 0.526752 | 0.263376 | − | 0.964693i | ||||||
0.263376 | + | 0.964693i | ||||||||
212.882 | + | 109.027i | 0.825125 | + | 0.422584i | |||||
−66.1586 | − | 66.1586i | −0.255438 | − | 0.255438i | |||||
−32.4255 | − | 45.0222i | −0.124714 | − | 0.173162i | |||||
−73.9236 | − | 73.9236i | −0.283232 | − | 0.283232i | |||||
10.7414 | + | 33.2939i | 0.0409978 | + | 0.127076i | |||||
31.6123 | 0.120199 | 0.0600994 | − | 0.998192i | ||||||
0.0600994 | + | 0.998192i | ||||||||
−6.67040 | − | 43.8841i | −0.0252667 | − | 0.166228i | |||||
50.6684i | 0.191201i | |||||||||
147.041 | + | 455.765i | 0.552784 | + | 1.71340i | |||||
26.8665 | − | 26.8665i | 0.100624 | − | 0.100624i | |||||
−9.26715 | + | 56.9769i | −0.0345789 | + | 0.212600i | |||||
−194.213 | + | 194.213i | −0.721981 | + | 0.721981i | −0.969008 | − | 0.247028i | ||
0.247028 | + | 0.969008i | ||||||||
13.1822 | + | 6.75120i | 0.0488229 | + | 0.0250044i | |||||
291.647i | 1.07619i | 0.842884 | + | 0.538095i | ||||||
−0.842884 | + | 0.538095i | ||||||||
113.480 | − | 339.625i | 0.417207 | − | 1.24862i | |||||
−168.978 | −0.618967 | |||||||||
132.813 | − | 259.326i | 0.484717 | − | 0.946444i | |||||
−52.0287 | − | 52.0287i | −0.189195 | − | 0.189195i | |||||
−36.9271 | + | 227.038i | −0.133794 | + | 0.822601i | |||||
305.166 | + | 305.166i | 1.10168 | + | 1.10168i | 0.994208 | + | 0.107475i | ||
0.107475 | + | 0.994208i | ||||||||
−222.265 | + | 71.7079i | −0.799513 | + | 0.257942i | |||||
124.128 | 0.444905 | |||||||||
67.7467 | − | 92.0333i | 0.241952 | − | 0.328691i | |||||
− | 211.861i | − | 0.753955i | −0.926222 | − | 0.376978i | ||||
0.926222 | − | 0.376978i | ||||||||
150.349 | − | 48.5061i | 0.533151 | − | 0.172007i | |||||
105.325 | − | 105.325i | 0.372175 | − | 0.372175i | −0.496094 | − | 0.868269i | ||
0.868269 | + | 0.496094i | ||||||||
27.9419 | + | 38.7968i | 0.0983870 | + | 0.136608i | |||||
41.6957 | − | 41.6957i | 0.146301 | − | 0.146301i | |||||
28.4254 | − | 55.5027i | 0.0993897 | − | 0.194065i | |||||
− | 472.588i | − | 1.64665i | |||||||
67.1733 | + | 68.5838i | 0.233241 | + | 0.238138i | |||||
211.871 | 0.733117 | |||||||||
88.4060 | + | 45.2768i | 0.304848 | + | 0.156127i | |||||
131.426 | + | 131.426i | 0.451637 | + | 0.451637i | |||||
−361.364 | + | 260.258i | −1.23755 | + | 0.891296i | |||||
−171.289 | − | 171.289i | −0.584603 | − | 0.584603i | 0.351562 | − | 0.936165i | ||
−0.936165 | + | 0.351562i | ||||||||
−54.7463 | − | 169.691i | −0.186212 | − | 0.577179i | |||||
12.5758 | 0.0426300 | |||||||||
−44.2680 | + | 60.1377i | −0.149554 | + | 0.203168i | |||||
16.6455i | 0.0560456i | |||||||||
−170.430 | − | 528.262i | −0.571912 | − | 1.77269i | |||||
−228.497 | + | 228.497i | −0.764204 | + | 0.764204i | |||||
157.070 | + | 25.5470i | 0.523566 | + | 0.0851566i | |||||
−489.368 | + | 489.368i | −1.62581 | + | 1.62581i | |||||
−114.819 | − | 58.8041i | −0.380196 | − | 0.194716i | |||||
− | 246.860i | − | 0.814720i | |||||||
341.988 | − | 170.686i | 1.12496 | − | 0.561468i | |||||
72.4579 | 0.237567 | |||||||||
−61.2107 | + | 119.518i | −0.200035 | + | 0.390582i | |||||
−27.1124 | − | 27.1124i | −0.0883140 | − | 0.0883140i | 0.661570 | − | 0.749884i | ||
−0.749884 | + | 0.661570i | ||||||||
126.773 | + | 20.6194i | 0.411602 | + | 0.0669460i | |||||
71.1041 | + | 71.1041i | 0.230110 | + | 0.230110i | |||||
−112.236 | + | 36.2102i | −0.362053 | + | 0.116807i | |||||
371.124 | 1.19333 | 0.596663 | − | 0.802492i | ||||||
0.596663 | + | 0.802492i | ||||||||
20.2667 | + | 133.333i | 0.0649575 | + | 0.427350i | |||||
− | 374.501i | − | 1.19649i | −0.801313 | − | 0.598245i | ||||
0.801313 | − | 0.598245i | ||||||||
−146.488 | + | 47.2607i | −0.466524 | + | 0.150512i | |||||
−30.3029 | + | 30.3029i | −0.0961996 | + | 0.0961996i | |||||
−14.4773 | + | 10.4267i | −0.0458143 | + | 0.0329960i | |||||
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0.626311 | + | 0.779573i | ||||||||
56.1417 | − | 109.621i | 0.176546 | − | 0.344719i | |||||
111.633i | 0.349947i | |||||||||
−80.7448 | − | 42.4178i | −0.252328 | − | 0.132555i | |||||
276.173 | 0.860352 | |||||||||
−592.406 | − | 303.398i | −1.83977 | − | 0.942230i | |||||
378.040 | + | 378.040i | 1.17040 | + | 1.17040i | |||||
−21.0391 | − | 29.2123i | −0.0649353 | − | 0.0901614i | |||||
158.079 | + | 158.079i | 0.486398 | + | 0.486398i | |||||
−91.0149 | − | 282.108i | −0.279187 | − | 0.865363i | |||||
−198.748 | −0.607791 | |||||||||
−372.899 | + | 56.6808i | −1.13689 | + | 0.172807i | |||||
457.122i | 1.38943i | |||||||||
−4.85576 | − | 15.0508i | −0.0147144 | − | 0.0456086i | |||||
−1.88883 | + | 1.88883i | −0.00570644 | + | 0.00570644i | −0.709954 | − | 0.704248i | ||
0.704248 | + | 0.709954i | ||||||||
−9.24040 | + | 56.8125i | −0.0278325 | + | 0.171122i | |||||
19.8009 | − | 19.8009i | 0.0594622 | − | 0.0594622i | |||||
−94.9001 | − | 48.6027i | −0.284132 | − | 0.145517i | |||||
20.5667i | 0.0613931i | |||||||||
−248.544 | + | 124.048i | −0.739715 | + | 0.369192i | |||||
−386.980 | −1.14831 | −0.574154 | − | 0.818747i | ||||||
−0.574154 | + | 0.818747i | ||||||||
67.7090 | − | 132.207i | 0.200323 | − | 0.391144i | |||||
−210.465 | − | 210.465i | −0.620840 | − | 0.620840i | |||||
20.4812 | − | 125.924i | 0.0602388 | − | 0.370365i | |||||
−93.7240 | − | 93.7240i | −0.274851 | − | 0.274851i | |||||
−136.408 | + | 44.0085i | −0.398854 | + | 0.128680i | |||||
24.7757 | 0.0722325 | |||||||||
444.832 | + | 327.446i | 1.29312 | + | 0.951877i | |||||
81.9528i | 0.237544i | |||||||||
111.920 | − | 36.1080i | 0.323468 | − | 0.104358i | |||||
441.887 | − | 441.887i | 1.27345 | − | 1.27345i | 0.329183 | − | 0.944266i | ||
0.944266 | − | 0.329183i | ||||||||
−141.098 | − | 195.912i | −0.405454 | − | 0.562965i | |||||
119.382 | − | 119.382i | 0.342068 | − | 0.342068i | −0.515076 | − | 0.857144i | ||
0.857144 | + | 0.515076i | ||||||||
−209.898 | + | 409.840i | −0.599707 | + | 1.17097i | |||||
− | 50.5743i | − | 0.144086i | |||||||
1.06501 | − | 102.504i | 0.00302560 | − | 0.291206i | |||||
−515.642 | −1.46074 | −0.730371 | − | 0.683050i | ||||||
−0.730371 | + | 0.683050i | ||||||||
−27.2077 | − | 13.9343i | −0.0768580 | − | 0.0393625i | |||||
12.0452 | + | 12.0452i | 0.0339301 | + | 0.0339301i | |||||
71.2014 | − | 51.2801i | 0.200004 | − | 0.144045i | |||||
−274.745 | − | 274.745i | −0.769595 | − | 0.769595i | |||||
−46.0890 | − | 142.857i | −0.128740 | − | 0.399041i | |||||
428.264 | 1.19294 | 0.596468 | − | 0.802637i | ||||||
0.596468 | + | 0.802637i | ||||||||
27.5451 | + | 20.2762i | 0.0765142 | + | 0.0563229i | |||||
209.664i | 0.580786i | |||||||||
57.8418 | + | 179.286i | 0.159784 | + | 0.495264i | |||||
−135.626 | + | 135.626i | −0.373625 | + | 0.373625i | |||||
−385.177 | − | 62.6480i | −1.05818 | − | 0.172110i | |||||
−112.192 | + | 112.192i | −0.307375 | + | 0.307375i | |||||
−156.762 | − | 80.2850i | −0.428311 | − | 0.219358i | |||||
219.482i | 0.598043i | 0.954246 | + | 0.299021i | ||||||
−0.954246 | + | 0.299021i | ||||||||
−168.347 | + | 503.830i | −0.457464 | + | 1.36910i | |||||
141.443 | 0.383315 | |||||||||
−12.1277 | + | 23.6802i | −0.0327775 | + | 0.0640004i | |||||
251.993 | + | 251.993i | 0.679226 | + | 0.679226i | |||||
282.944 | + | 46.0201i | 0.760602 | + | 0.123710i | |||||
425.005 | + | 425.005i | 1.13942 | + | 1.13942i | 0.988554 | + | 0.150870i | ||
0.150870 | + | 0.988554i | ||||||||
136.461 | − | 44.0255i | 0.364868 | − | 0.117715i | |||||
118.407 | 0.315752 | |||||||||
360.695 | − | 54.8259i | 0.959296 | − | 0.145814i | |||||
− | 339.175i | − | 0.899669i | |||||||
99.1362 | − | 31.9837i | 0.262265 | − | 0.0846130i | |||||
365.916 | − | 365.916i | 0.965476 | − | 0.965476i | −0.0339473 | − | 0.999424i | ||
0.999424 | + | 0.0339473i | ||||||||
110.502 | − | 79.5846i | 0.290794 | − | 0.209433i | |||||
45.1114 | − | 45.1114i | 0.118403 | − | 0.118403i | |||||
103.707 | − | 202.495i | 0.271484 | − | 0.530091i | |||||
213.276i | 0.556857i | 0.960457 | + | 0.278428i | ||||||
−0.960457 | + | 0.278428i | ||||||||
127.691 | + | 181.238i | 0.332528 | + | 0.471973i | |||||
45.7608 | 0.118859 | |||||||||
47.2793 | + | 24.2139i | 0.122485 | + | 0.0627303i | |||||
−146.465 | − | 146.465i | −0.378464 | − | 0.378464i | |||||
250.854 | + | 348.305i | 0.646530 | + | 0.897694i | |||||
−210.798 | − | 210.798i | −0.541898 | − | 0.541898i | 0.382187 | − | 0.924085i | ||
−0.924085 | + | 0.382187i | ||||||||
14.7533 | + | 45.7291i | 0.0378290 | + | 0.117254i | |||||
−743.037 | −1.90035 | |||||||||
−61.8791 | − | 407.098i | −0.157855 | − | 1.03852i | |||||
− | 30.2968i | − | 0.0770912i | |||||||
−45.0665 | − | 139.687i | −0.114382 | − | 0.354536i | |||||
−4.49475 | + | 4.49475i | −0.0113791 | + | 0.0113791i | |||||
−6.17127 | + | 37.9426i | −0.0155840 | + | 0.0958148i | |||||
392.907 | − | 392.907i | 0.989690 | − | 0.989690i | −0.0102579 | − | 0.999947i | ||
0.999947 | + | 0.0102579i | ||||||||
243.415 | + | 124.664i | 0.611597 | + | 0.313226i | |||||
− | 414.737i | − | 1.03944i | |||||||
348.561 | + | 116.466i | 0.871403 | + | 0.291165i | |||||
29.3290 | 0.0731396 | 0.0365698 | − | 0.999331i | ||||||
0.0365698 | + | 0.999331i | ||||||||
22.7883 | − | 44.4958i | 0.0566874 | − | 0.110686i | |||||
284.762 | + | 284.762i | 0.706606 | + | 0.706606i | |||||
91.5224 | − | 562.705i | 0.226541 | − | 1.39283i | |||||
−9.06949 | − | 9.06949i | −0.0223938 | − | 0.0223938i | |||||
664.855 | − | 214.498i | 1.63757 | − | 0.528321i | |||||
−29.9017 | −0.0734684 | |||||||||
−183.838 | + | 249.742i | −0.450582 | + | 0.612112i | |||||
601.115i | 1.46972i | 0.678219 | + | 0.734860i | ||||||
−0.678219 | + | 0.734860i | ||||||||
−127.892 | + | 41.2612i | −0.311933 | + | 0.100637i | |||||
−178.419 | + | 178.419i | −0.434110 | + | 0.434110i | |||||
135.716 | + | 188.440i | 0.329409 | + | 0.457378i | |||||
62.5444 | − | 62.5444i | 0.151439 | − | 0.151439i | |||||
90.8055 | − | 177.304i | 0.219337 | − | 0.428271i | |||||
20.5073i | 0.0494153i | |||||||||
−3.23584 | + | 311.440i | −0.00777845 | + | 0.748654i | |||||
202.257 | 0.485028 | |||||||||
136.225 | + | 69.7669i | 0.325897 | + | 0.166907i | |||||
−518.885 | − | 518.885i | −1.23839 | − | 1.23839i | −0.960659 | − | 0.277729i | ||
−0.277729 | − | 0.960659i | ||||||||
−80.3085 | + | 57.8391i | −0.191211 | + | 0.137712i | |||||
−411.213 | − | 411.213i | −0.976754 | − | 0.976754i | 0.0229817 | − | 0.999736i | ||
−0.999736 | + | 0.0229817i | ||||||||
122.599 | + | 380.005i | 0.290518 | + | 0.900485i | |||||
−136.814 | −0.323438 | |||||||||
168.613 | − | 229.060i | 0.397673 | − | 0.540236i | |||||
514.049i | 1.20953i | |||||||||
−12.7133 | − | 39.4059i | −0.0298434 | − | 0.0925022i | |||||
360.360 | − | 360.360i | 0.843936 | − | 0.843936i | |||||
629.522 | + | 102.390i | 1.47084 | + | 0.239229i | |||||
−38.1865 | + | 38.1865i | −0.0890128 | + | 0.0890128i | |||||
175.160 | + | 89.7072i | 0.407348 | + | 0.208622i | |||||
41.1083i | 0.0953789i | 0.998862 | + | 0.0476895i | ||||||
−0.998862 | + | 0.0476895i | ||||||||
−37.1271 | − | 74.3880i | −0.0859423 | − | 0.172195i | |||||
−351.682 | −0.812199 | −0.406100 | − | 0.913829i | ||||||
−0.406100 | + | 0.913829i | ||||||||
−378.107 | + | 738.281i | −0.871215 | + | 1.70111i | |||||
−60.8244 | − | 60.8244i | −0.139826 | − | 0.139826i | |||||
−453.035 | − | 73.6850i | −1.03907 | − | 0.169002i | |||||
−560.819 | − | 560.819i | −1.28334 | − | 1.28334i | |||||
367.037 | − | 118.415i | 0.837985 | − | 0.270354i | |||||
−775.613 | −1.76677 | −0.883386 | − | 0.468646i | ||||||
−0.883386 | + | 0.468646i | ||||||||
−5.48841 | − | 36.1079i | −0.0124737 | − | 0.0820633i | |||||
154.415i | 0.350148i | |||||||||
−414.609 | + | 133.763i | −0.938030 | + | 0.302631i | |||||
−241.372 | + | 241.372i | −0.544858 | + | 0.544858i | −0.924949 | − | 0.380091i | ||
0.380091 | + | 0.924949i | ||||||||
52.4763 | − | 37.7940i | 0.118190 | − | 0.0851217i | |||||
22.1058 | − | 22.1058i | 0.0496759 | − | 0.0496759i | |||||
111.778 | − | 218.255i | 0.250624 | − | 0.489361i | |||||
480.708i | 1.07541i | |||||||||
−612.534 | + | 190.615i | −1.36726 | + | 0.425480i | |||||
266.360 | 0.593228 | 0.296614 | − | 0.954997i | ||||||
0.296614 | + | 0.954997i | ||||||||
−122.663 | − | 62.8213i | −0.272584 | − | 0.139603i | |||||
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78.9969 | + | 78.9969i | 0.174386 | + | 0.174386i | |||||
256.923 | + | 796.355i | 0.565910 | + | 1.75409i | |||||
−139.035 | −0.305572 | |||||||||
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0.825963 | − | 0.563725i | ||||||||
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82.2299 | − | 82.2299i | 0.179150 | − | 0.179150i | |||||
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5.67717 | − | 5.67717i | 0.0123149 | − | 0.0123149i | −0.700923 | − | 0.713237i | ||
0.713237 | + | 0.700923i | ||||||||
−99.0031 | − | 50.7040i | −0.214292 | − | 0.109749i | |||||
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0.865082 | − | 0.501631i | ||||||||
−248.992 | − | 498.882i | −0.536621 | − | 1.07518i | |||||
102.133 | 0.219641 | |||||||||
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495.985 | + | 495.985i | 1.06207 | + | 1.06207i | 0.997942 | + | 0.0641248i | ||
0.0641248 | + | 0.997942i | ||||||||
18.7502 | − | 115.281i | 0.0400646 | − | 0.246328i | |||||
102.286 | + | 102.286i | 0.218094 | + | 0.218094i | |||||
123.707 | − | 39.9109i | 0.263207 | − | 0.0849167i | |||||
133.302 | 0.283018 | |||||||||
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221.180i | 0.467610i | |||||||||
14.7046 | − | 4.74407i | 0.0310224 | − | 0.0100086i | |||||
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12.0083 | − | 23.4471i | 0.0251220 | − | 0.0490525i | |||||
− | 378.802i | − | 0.790818i | −0.918505 | − | 0.395409i | ||||
0.918505 | − | 0.395409i | ||||||||
55.2703 | + | 56.4309i | 0.115146 | + | 0.117564i | |||||
90.8504 | 0.188878 | |||||||||
337.367 | + | 172.781i | 0.699932 | + | 0.358467i | |||||
407.582 | + | 407.582i | 0.843855 | + | 0.843855i | |||||
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108.138 | + | 108.138i | 0.222964 | + | 0.222964i | |||||
9.57256 | + | 29.6710i | 0.0196966 | + | 0.0610514i | |||||
147.446 | 0.302764 | 0.151382 | − | 0.988475i | ||||||
0.151382 | + | 0.988475i | ||||||||
−327.565 | − | 241.124i | −0.671240 | − | 0.494107i | |||||
256.713i | 0.524976i | |||||||||
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109.547 | − | 109.547i | 0.223110 | − | 0.223110i | −0.586697 | − | 0.809807i | ||
0.809807 | + | 0.586697i | ||||||||
322.412 | + | 52.4395i | 0.655310 | + | 0.106584i | |||||
551.473 | − | 551.473i | 1.11861 | − | 1.11861i | |||||
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13.6960i | 0.0276686i | |||||||||
627.894 | + | 209.801i | 1.26592 | + | 0.422985i | |||||
119.810 | 0.241067 | |||||||||
22.7226 | − | 44.3674i | 0.0456277 | − | 0.0890912i | |||||
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269.902 | + | 43.8989i | 0.539804 | + | 0.0877977i | |||||
65.2924 | + | 65.2924i | 0.130324 | + | 0.130324i | |||||
73.8722 | − | 23.8329i | 0.147156 | − | 0.0474760i | |||||
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−0.921889 | + | 0.387454i | ||||||||
237.834 | − | 36.1508i | 0.471892 | − | 0.0717279i | |||||
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119.554 | − | 86.1042i | 0.235342 | − | 0.169496i | |||||
677.931 | − | 677.931i | 1.33189 | − | 1.33189i | 0.428208 | − | 0.903680i | ||
0.903680 | − | 0.428208i | ||||||||
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1115.95i | 2.18385i | |||||||||
223.872 | + | 460.462i | 0.437249 | + | 0.899340i | |||||
124.129 | 0.241966 | |||||||||
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58.5045 | + | 58.5045i | 0.113601 | + | 0.113601i | |||||
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103.303 | + | 103.303i | 0.199812 | + | 0.199812i | |||||
57.4548 | + | 178.086i | 0.110917 | + | 0.343795i | |||||
−101.845 | −0.196233 | |||||||||
16.6755 | + | 109.707i | 0.0320682 | + | 0.210974i | |||||
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0.990515 | − | 0.137402i | ||||||||
64.1982 | + | 198.988i | 0.122985 | + | 0.381203i | |||||
226.187 | − | 226.187i | 0.432481 | − | 0.432481i | −0.456991 | − | 0.889471i | ||
0.889471 | + | 0.456991i | ||||||||
11.2324 | − | 69.0600i | 0.0214359 | − | 0.131794i | |||||
281.974 | − | 281.974i | 0.537094 | − | 0.537094i | |||||
−56.2738 | − | 28.8204i | −0.106984 | − | 0.0547916i | |||||
926.004i | 1.75712i | |||||||||
−28.1342 | + | 84.2003i | −0.0532844 | + | 0.159470i | |||||
573.288 | 1.08372 | |||||||||
46.1934 | − | 90.1959i | 0.0871574 | − | 0.170181i | |||||
18.7192 | + | 18.7192i | 0.0352528 | + | 0.0352528i | |||||
153.762 | − | 945.371i | 0.289027 | − | 1.77701i | |||||
324.484 | + | 324.484i | 0.608788 | + | 0.608788i | |||||
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227.235 | 0.424739 | |||||||||
68.4415 | − | 92.9772i | 0.127689 | − | 0.173465i | |||||
129.997i | 0.242080i | |||||||||
522.783 | − | 168.662i | 0.971716 | − | 0.313499i | |||||
116.592 | − | 116.592i | 0.216312 | − | 0.216312i | |||||
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0.547284 | + | 0.836947i | ||||||||
265.890 | − | 519.168i | 0.490571 | − | 0.957875i | |||||
− | 163.146i | − | 0.300454i | |||||||
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300.802 | + | 154.054i | 0.550919 | + | 0.282151i | |||||
247.357 | + | 247.357i | 0.452207 | + | 0.452207i | 0.896086 | − | 0.443880i | ||
−0.443880 | + | 0.896086i | ||||||||
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107.854 | + | 107.854i | 0.196455 | + | 0.196455i | |||||
45.1839 | + | 140.051i | 0.0821525 | + | 0.254638i | |||||
832.466 | 1.51083 | |||||||||
272.721 | − | 370.489i | 0.494060 | − | 0.671177i | |||||
44.7082i | 0.0808466i | |||||||||
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16.2922 | − | 16.2922i | 0.0293553 | − | 0.0293553i | |||||
461.033 | + | 74.9858i | 0.829196 | + | 0.134867i | |||||
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−0.977876 | + | 0.209184i | ||||||||
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− | 672.011i | − | 1.20217i | |||||||
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246.685 | + | 246.685i | 0.438162 | + | 0.438162i | 0.891393 | − | 0.453231i | ||
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0.976827 | − | 0.214030i | ||||||||
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59.9229 | − | 59.9229i | 0.104944 | − | 0.104944i | −0.652685 | − | 0.757629i | ||
0.757629 | + | 0.652685i | ||||||||
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− | 762.587i | − | 1.32624i | |||||||
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136.609 | 0.236757 | 0.118378 | − | 0.992969i | ||||||
0.118378 | + | 0.992969i | ||||||||
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101.991 | + | 101.991i | 0.175543 | + | 0.175543i | |||||
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113.893 | 0.195357 | |||||||||
880.544 | − | 133.843i | 1.50778 | − | 0.229184i | |||||
− | 41.6126i | − | 0.0711326i | |||||||
148.754 | + | 461.076i | 0.253846 | + | 0.786818i | |||||
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0.365525 | + | 0.930801i | ||||||||
−57.2488 | + | 351.981i | −0.0973620 | + | 0.598608i | |||||
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127.113i | 0.215081i | |||||||||
133.629 | − | 66.6942i | 0.225724 | − | 0.112659i | |||||
131.285 | 0.221391 | 0.110695 | − | 0.993854i | ||||||
0.110695 | + | 0.993854i | ||||||||
15.1754 | − | 29.6311i | 0.0255479 | − | 0.0498840i | |||||
−226.061 | − | 226.061i | −0.379934 | − | 0.379934i | |||||
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615.069 | − | 198.436i | 1.02854 | − | 0.331833i | |||||
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− | 498.566i | − | 0.829561i | −0.909922 | − | 0.414780i | ||||
0.909922 | − | 0.414780i | ||||||||
1317.28 | − | 424.987i | 2.18818 | − | 0.705959i | |||||
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150.781 | + | 209.357i | 0.249638 | + | 0.346617i | |||||
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0.883472 | − | 0.468484i | ||||||||
−764.393 | − | 7.94198i | −1.25723 | − | 0.0130625i | |||||
−605.005 | −0.993441 | |||||||||
−128.984 | − | 66.0585i | −0.211449 | − | 0.108293i | |||||
−313.865 | − | 313.865i | −0.513691 | − | 0.513691i | |||||
217.925 | − | 156.952i | 0.356087 | − | 0.256458i | |||||
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−0.831022 | + | 0.556240i | ||||||||
23.5455 | + | 72.9813i | 0.0383478 | + | 0.118862i | |||||
116.380 | 0.189235 | |||||||||
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599.157i | 0.971081i | 0.874214 | + | 0.485541i | ||||||
−0.874214 | + | 0.485541i | ||||||||
−61.7497 | − | 191.398i | −0.0999186 | − | 0.309706i | |||||
126.719 | − | 126.719i | 0.204715 | − | 0.204715i | −0.597301 | − | 0.802017i | ||
0.802017 | + | 0.597301i | ||||||||
232.807 | + | 37.8654i | 0.375495 | + | 0.0610732i | |||||
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− | 219.881i | − | 0.352939i | |||||||
85.4802 | − | 255.826i | 0.136988 | − | 0.409978i | |||||
−476.800 | −0.762879 | |||||||||
−341.426 | + | 666.658i | −0.545409 | + | 1.06495i | |||||
−93.7242 | − | 93.7242i | −0.149480 | − | 0.149480i | |||||
303.854 | + | 49.4210i | 0.483844 | + | 0.0786959i | |||||
147.716 | + | 147.716i | 0.234842 | + | 0.234842i | |||||
81.5694 | − | 26.3162i | 0.129475 | − | 0.0417718i | |||||
668.283 | 1.05909 | 0.529543 | − | 0.848283i | ||||||
0.529543 | + | 0.848283i | ||||||||
35.2773 | − | 5.36216i | 0.0558185 | − | 0.00848444i | |||||
− | 345.797i | − | 0.546283i | |||||||
130.779 | − | 42.1923i | 0.206275 | − | 0.0665494i | |||||
37.1177 | − | 37.1177i | 0.0584531 | − | 0.0584531i | |||||
−199.878 | + | 143.955i | −0.314274 | + | 0.226344i | |||||
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101.774 | − | 198.720i | 0.159520 | − | 0.311474i | |||||
35.8586i | 0.0561168i | |||||||||
105.064 | + | 149.122i | 0.164163 | + | 0.233004i | |||||
484.574 | 0.755966 | 0.377983 | − | 0.925813i | ||||||
0.377983 | + | 0.925813i | ||||||||
−491.622 | − | 251.782i | −0.765766 | − | 0.392184i | |||||
75.2980 | + | 75.2980i | 0.117104 | + | 0.117104i | 0.763230 | − | 0.646126i | ||
−0.646126 | + | 0.763230i | ||||||||
777.952 | + | 1080.17i | 1.20800 | + | 1.67728i | |||||
−120.512 | − | 120.512i | −0.186840 | − | 0.186840i | |||||
−328.306 | − | 1017.61i | −0.508213 | − | 1.57525i | |||||
−582.307 | −0.900011 | −0.450006 | − | 0.893026i | ||||||
−0.450006 | + | 0.893026i | ||||||||
10.8198 | + | 71.1824i | 0.0166972 | + | 0.109849i | |||||
− | 28.2682i | − | 0.0435565i | |||||||
−137.282 | − | 425.518i | −0.211204 | − | 0.654644i | |||||
507.946 | − | 507.946i | 0.780255 | − | 0.780255i | |||||
−95.1754 | + | 585.164i | −0.145974 | + | 0.897491i | |||||
457.453 | − | 457.453i | 0.700541 | − | 0.700541i | −0.263986 | − | 0.964527i | ||
0.964527 | + | 0.263986i | ||||||||
353.795 | + | 181.195i | 0.540972 | + | 0.277056i | |||||
− | 24.9283i | − | 0.0380584i | |||||||
715.480 | + | 239.066i | 1.09067 | + | 0.364430i | |||||
−333.997 | −0.508367 | |||||||||
416.750 | − | 813.734i | 0.633359 | − | 1.23668i | |||||
−430.079 | − | 430.079i | −0.652623 | − | 0.652623i | 0.301001 | − | 0.953624i | ||
−0.953624 | + | 0.301001i | ||||||||
−5.07773 | + | 31.2193i | −0.00769353 | + | 0.0473019i | |||||
−513.622 | − | 513.622i | −0.777038 | − | 0.777038i | 0.202288 | − | 0.979326i | ||
−0.979326 | + | 0.202288i | ||||||||
5.08436 | − | 1.64034i | 0.00768031 | − | 0.00247785i | |||||
377.287 | 0.569060 | |||||||||
68.2440 | − | 92.7089i | 0.102777 | − | 0.139622i | |||||
− | 341.246i | − | 0.513152i | |||||||
−53.3002 | + | 17.1959i | −0.0800303 | + | 0.0258197i | |||||
−818.105 | + | 818.105i | −1.22654 | + | 1.22654i | |||||
124.624 | + | 173.037i | 0.186562 | + | 0.259038i | |||||
−150.162 | + | 150.162i | −0.224457 | + | 0.224457i | |||||
18.7503 | − | 36.6112i | 0.0279855 | − | 0.0546436i | |||||
− | 162.872i | − | 0.242730i | |||||||
555.532 | + | 5.77193i | 0.826685 | + | 0.00858919i | |||||
−1112.68 | −1.65332 | −0.826659 | − | 0.562703i | ||||||
−0.826659 | + | 0.562703i | ||||||||
688.871 | + | 352.802i | 1.02206 | + | 0.523446i | |||||
84.3935 | + | 84.3935i | 0.125027 | + | 0.125027i | |||||
−241.061 | + | 173.615i | −0.356599 | + | 0.256827i | |||||
633.271 | + | 633.271i | 0.935408 | + | 0.935408i | 0.998037 | − | 0.0626291i | ||
−0.0626291 | + | 0.998037i | ||||||||
182.776 | + | 566.530i | 0.269581 | + | 0.835590i | |||||
1075.62 | 1.58412 | |||||||||
−151.262 | + | 205.488i | −0.222444 | + | 0.302188i | |||||
− | 724.668i | − | 1.06412i | |||||||
81.3937 | + | 252.287i | 0.119346 | + | 0.369922i | |||||
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0.318768 | + | 0.947833i | ||||||||
282.945 | + | 46.0202i | 0.413662 | + | 0.0672810i | |||||
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−44.1038 | − | 22.5876i | −0.0642913 | − | 0.0329265i | |||||
179.748i | 0.261642i | |||||||||
−493.330 | − | 988.439i | −0.717049 | − | 1.43668i | |||||
−346.042 | −0.502239 | |||||||||
74.7148 | − | 145.886i | 0.108282 | − | 0.211429i | |||||
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−232.150 | − | 37.7586i | −0.335477 | − | 0.0545644i | |||||
68.1153 | + | 68.1153i | 0.0982904 | + | 0.0982904i | |||||
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166.417 | 0.239449 | |||||||||
72.5625 | + | 477.383i | 0.104257 | + | 0.685896i | |||||
1055.17i | 1.51388i | |||||||||
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191.340 | − | 191.340i | 0.273734 | − | 0.273734i | |||||
747.287 | − | 538.205i | 1.06755 | − | 0.768864i | |||||
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−0.918882 | + | 0.394533i | ||||||||
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222.982i | 0.317186i | |||||||||
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−112.571 | −0.159675 | |||||||||
917.906 | + | 470.102i | 1.30015 | + | 0.665866i | |||||
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35.7294 | + | 49.6096i | 0.0504653 | + | 0.0700700i | |||||
405.348 | + | 405.348i | 0.571718 | + | 0.571718i | 0.932608 | − | 0.360890i | ||
−0.360890 | + | 0.932608i | ||||||||
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− | 1373.72i | − | 1.92667i | |||||||
238.600 | + | 739.561i | 0.334174 | + | 1.03580i | |||||
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880.704i | 1.22490i | 0.790509 | + | 0.612450i | ||||||
−0.790509 | + | 0.612450i | ||||||||
−30.5482 | − | 61.2066i | −0.0424280 | − | 0.0850091i | |||||
581.930 | 0.807115 | |||||||||
191.147 | − | 373.227i | 0.264746 | − | 0.516935i | |||||
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60.4859 | − | 371.884i | 0.0835440 | − | 0.513651i | |||||
565.983 | + | 565.983i | 0.780667 | + | 0.780667i | |||||
365.078 | − | 117.783i | 0.502862 | − | 0.162235i | |||||
1000.46 | 1.37615 | 0.688077 | − | 0.725637i | ||||||
0.688077 | + | 0.725637i | ||||||||
628.547 | + | 462.680i | 0.863388 | + | 0.635549i | |||||
− | 27.0000i | − | 0.0370370i | |||||||
301.999 | − | 97.4320i | 0.413697 | − | 0.133469i | |||||
1092.64 | − | 1092.64i | 1.49472 | − | 1.49472i | |||||
205.861 | + | 285.834i | 0.281231 | + | 0.390484i | |||||
540.306 | − | 540.306i | 0.737116 | − | 0.737116i | −0.234903 | − | 0.972019i | ||
0.972019 | + | 0.234903i | ||||||||
200.097 | − | 390.704i | 0.272612 | − | 0.532295i | |||||
127.053i | 0.172861i | |||||||||
759.011 | − | 743.401i | 1.03126 | − | 1.01006i | |||||
46.2301 | 0.0627274 | |||||||||
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893.726 | + | 893.726i | 1.20937 | + | 1.20937i | 0.971230 | + | 0.238142i | ||
0.238142 | + | 0.971230i | ||||||||
43.1775 | − | 31.0970i | 0.0583480 | − | 0.0420229i | |||||
284.763 | + | 284.763i | 0.384296 | + | 0.384296i | |||||
−218.841 | − | 678.316i | −0.294934 | − | 0.914172i | |||||
1295.75 | 1.74394 | 0.871969 | − | 0.489561i | ||||||
0.871969 | + | 0.489561i | ||||||||
−461.719 | − | 339.876i | −0.620591 | − | 0.456823i | |||||
395.527i | 0.530909i | |||||||||
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1130.13 | − | 1130.13i | 1.50885 | − | 1.50885i | |||||
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− | 229.818i | − | 0.306016i | −0.988225 | − | 0.153008i | ||||
0.988225 | − | 0.153008i | ||||||||
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64.9987 | + | 64.9987i | 0.0860910 | + | 0.0860910i | |||||
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−0.909448 | + | 0.415818i | ||||||||
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184.215 | 0.242707 | |||||||||
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384.012i | 0.504615i | 0.967647 | + | 0.252307i | ||||||
−0.967647 | + | 0.252307i | ||||||||
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67.6589 | − | 67.6589i | 0.0884429 | − | 0.0884429i | |||||
194.440 | − | 379.658i | 0.253838 | − | 0.495637i | |||||
85.8874i | 0.111978i | |||||||||
−62.0745 | − | 439.038i | −0.0808261 | − | 0.571665i | |||||
865.026 | 1.12487 | 0.562436 | − | 0.826841i | ||||||
0.562436 | + | 0.826841i | ||||||||
−81.4598 | − | 41.7193i | −0.105792 | − | 0.0541809i | |||||
165.800 | + | 165.800i | 0.215045 | + | 0.215045i | |||||
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−0.708263 | + | 0.705949i | ||||||||
127.196 | + | 394.256i | 0.164337 | + | 0.509375i | |||||
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− | 162.055i | − | 0.208565i | |||||||
183.066 | + | 567.428i | 0.235303 | + | 0.729341i | |||||
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15.4277 | − | 94.8537i | 0.0197791 | − | 0.121607i | |||||
27.0753 | − | 27.0753i | 0.0346675 | − | 0.0346675i | |||||
1322.70 | + | 677.413i | 1.69143 | + | 0.866257i | |||||
− | 181.075i | − | 0.231258i | |||||||
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109.681 | 0.139721 | |||||||||
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143.702 | + | 143.702i | 0.182595 | + | 0.182595i | 0.792485 | − | 0.609891i | ||
−0.609891 | + | 0.792485i | ||||||||
−47.1265 | + | 289.747i | −0.0598052 | + | 0.367699i | |||||
38.7170 | + | 38.7170i | 0.0490710 | + | 0.0490710i | |||||
12.0990 | − | 3.90342i | 0.0153152 | − | 0.00494104i | |||||
−1722.49 | −2.17761 | |||||||||
45.5772 | − | 61.9163i | 0.0575470 | − | 0.0781772i | |||||
494.855i | 0.624029i | |||||||||
−1057.63 | + | 341.216i | −1.33203 | + | 0.429743i | |||||
−62.0558 | + | 62.0558i | −0.0780577 | + | 0.0780577i | |||||
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0.340562 | + | 0.940222i | ||||||||
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− | 1020.64i | − | 1.27740i | |||||||
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65.8092 | 0.0821588 | |||||||||
−52.2091 | − | 26.7387i | −0.0650987 | − | 0.0333400i | |||||
252.187 | + | 252.187i | 0.314056 | + | 0.314056i | |||||
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335.359 | + | 335.359i | 0.416595 | + | 0.416595i | |||||
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−475.722 | −0.589495 | |||||||||
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0.334212 | − | 0.942498i | ||||||||
7.87632 | + | 24.4133i | 0.00972385 | + | 0.0301399i | |||||
−576.427 | + | 576.427i | −0.710761 | + | 0.710761i | −0.966694 | − | 0.255933i | ||
0.255933 | + | 0.966694i | ||||||||
−1379.08 | − | 224.303i | −1.69837 | − | 0.276236i | |||||
−357.194 | + | 357.194i | −0.439353 | + | 0.439353i | |||||
53.2286 | + | 27.2608i | 0.0653914 | + | 0.0334899i | |||||
211.224i | 0.259170i | |||||||||
554.938 | − | 276.970i | 0.680072 | − | 0.339424i | |||||
1649.37 | 2.01882 | |||||||||
548.026 | − | 1070.06i | 0.669958 | − | 1.30814i | |||||
−206.955 | − | 206.955i | −0.252692 | − | 0.252692i | |||||
265.281 | + | 43.1473i | 0.323514 | + | 0.0526186i | |||||
−386.324 | − | 386.324i | −0.470552 | − | 0.470552i | 0.431541 | − | 0.902093i | ||
−0.902093 | + | 0.431541i | ||||||||
480.269 | − | 154.946i | 0.584269 | − | 0.188499i | |||||
377.870 | 0.459138 | 0.229569 | − | 0.973292i | ||||||
0.229569 | + | 0.973292i | ||||||||
−69.7950 | − | 459.176i | −0.0847026 | − | 0.557252i | |||||
− | 127.444i | − | 0.154477i | |||||||
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140.900 | − | 140.900i | 0.170375 | − | 0.170375i | −0.616769 | − | 0.787144i | ||
0.787144 | + | 0.616769i | ||||||||
−323.290 | + | 232.837i | −0.390447 | + | 0.281204i | |||||
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0.318128 | + | 0.948048i | ||||||||
18.6962 | − | 36.5056i | 0.0225255 | − | 0.0439826i | |||||
747.501i | 0.899520i | |||||||||
289.694 | − | 551.451i | 0.348190 | − | 0.662802i | |||||
−1151.95 | −1.38289 | |||||||||
−360.041 | − | 184.394i | −0.431704 | − | 0.221095i | |||||
53.7226 | + | 53.7226i | 0.0643385 | + | 0.0643385i | |||||
−178.892 | − | 248.387i | −0.213985 | − | 0.297114i | |||||
152.026 | + | 152.026i | 0.181632 | + | 0.181632i | |||||
450.621 | + | 1396.74i | 0.537734 | + | 1.66675i | |||||
−442.133 | −0.526976 | −0.263488 | − | 0.964663i | ||||||
−0.263488 | + | 0.964663i | ||||||||
195.690 | − | 29.7450i | 0.232964 | − | 0.0354107i | |||||
− | 373.376i | − | 0.443967i | |||||||
357.114 | + | 1106.91i | 0.424126 | + | 1.31462i | |||||
259.476 | − | 259.476i | 0.307801 | − | 0.307801i | |||||
128.203 | − | 788.226i | 0.151899 | − | 0.933917i | |||||
−74.8417 | + | 74.8417i | −0.0885701 | + | 0.0885701i | |||||
243.546 | + | 124.731i | 0.287880 | + | 0.147436i | |||||
1109.99i | 1.31049i | |||||||||
−508.982 | + | 254.033i | −0.600215 | + | 0.299567i | |||||
257.994 | 0.303879 | |||||||||
468.650 | − | 915.071i | 0.551352 | − | 1.07655i | |||||
−219.135 | − | 219.135i | −0.257503 | − | 0.257503i | |||||
−13.2945 | + | 81.7379i | −0.0156038 | + | 0.0959365i | |||||
−494.617 | − | 494.617i | −0.579856 | − | 0.579856i | 0.355007 | − | 0.934863i | ||
−0.934863 | + | 0.355007i | ||||||||
−970.020 | + | 312.952i | −1.13585 | + | 0.366454i | |||||
102.133 | 0.119454 | |||||||||
−1027.28 | − | 756.190i | −1.20009 | − | 0.883400i | |||||
1676.75i | 1.95654i | 0.207340 | + | 0.978269i | ||||||
−0.207340 | + | 0.978269i | ||||||||
102.791 | − | 33.1627i | 0.119802 | − | 0.0386511i | |||||
228.948 | − | 228.948i | 0.266529 | − | 0.266529i | −0.561171 | − | 0.827700i | ||
0.827700 | + | 0.561171i | ||||||||
−230.021 | − | 319.380i | −0.267466 | − | 0.371372i | |||||
578.800 | − | 578.800i | 0.672241 | − | 0.672241i | |||||
37.4777 | − | 73.1778i | 0.0434776 | − | 0.0848931i | |||||
− | 1603.23i | − | 1.85774i | −0.370401 | − | 0.928872i | ||||
0.370401 | − | 0.928872i | ||||||||
−1.72751 | + | 166.268i | −0.00199943 | + | 0.192440i | |||||
−83.7981 | −0.0968764 | |||||||||
626.038 | + | 320.622i | 0.722907 | + | 0.370234i | |||||
259.488 | + | 259.488i | 0.299294 | + | 0.299294i | |||||
1346.15 | − | 969.517i | 1.55087 | − | 1.11695i | |||||
10.1034 | + | 10.1034i | 0.0116264 | + | 0.0116264i | |||||
52.8224 | + | 163.727i | 0.0607154 | + | 0.188192i | |||||
−140.461 | −0.161264 | |||||||||
739.281 | + | 544.192i | 0.847799 | + | 0.624074i | |||||
321.927i | 0.368760i | |||||||||
487.038 | + | 1509.61i | 0.557252 | + | 1.72725i | |||||
484.533 | − | 484.533i | 0.553752 | − | 0.553752i | |||||
−761.328 | − | 123.828i | −0.869096 | − | 0.141356i | |||||
289.017 | − | 289.017i | 0.329552 | − | 0.329552i | −0.522864 | − | 0.852416i | ||
0.852416 | + | 0.522864i | ||||||||
1380.69 | + | 707.113i | 1.57254 | + | 0.805367i | |||||
− | 419.570i | − | 0.477326i | |||||||
−23.1488 | + | 69.2801i | −0.0263055 | + | 0.0787274i | |||||
937.450 | 1.06408 | 0.532038 | − | 0.846721i | ||||||
0.532038 | + | 0.846721i | ||||||||
140.778 | − | 274.878i | 0.159612 | − | 0.311653i | |||||
−485.966 | − | 485.966i | −0.550357 | − | 0.550357i | 0.376187 | − | 0.926544i | ||
−0.926544 | + | 0.376187i | ||||||||
860.005 | + | 139.877i | 0.972856 | + | 0.158232i | |||||
15.4022 | + | 15.4022i | 0.0174036 | + | 0.0174036i | |||||
649.726 | − | 209.617i | 0.733326 | − | 0.236588i | |||||
−534.193 | −0.602247 | −0.301123 | − | 0.953585i | ||||||
−0.301123 | + | 0.953585i | ||||||||
−127.870 | + | 19.4364i | −0.143998 | + | 0.0218878i | |||||
− | 369.201i | − | 0.415299i | |||||||
−59.5044 | + | 19.1976i | −0.0668589 | + | 0.0215703i | |||||
−20.3865 | + | 20.3865i | −0.0228805 | + | 0.0228805i | |||||
−397.958 | + | 286.614i | −0.446142 | + | 0.321316i | |||||
770.346 | − | 770.346i | 0.862649 | − | 0.862649i | |||||
438.253 | − | 855.719i | 0.490216 | − | 0.957180i | |||||
106.961i | 0.119510i | |||||||||
1264.17 | + | 219.118i | 1.41090 | + | 0.244552i | |||||
−559.701 | −0.623970 | |||||||||
−474.153 | − | 242.835i | −0.528010 | − | 0.270418i | |||||
1019.56 | + | 1019.56i | 1.13410 | + | 1.13410i | |||||
161.082 | + | 223.659i | 0.178980 | + | 0.248510i | |||||
−562.638 | − | 562.638i | −0.624460 | − | 0.624460i | |||||
92.7475 | + | 287.479i | 0.102824 | + | 0.318712i | |||||
−1198.70 | −1.32747 | |||||||||
206.590 | + | 1359.14i | 0.228529 | + | 1.50347i | |||||
− | 134.237i | − | 0.148328i | |||||||
−68.6041 | − | 212.644i | −0.0757219 | − | 0.234706i | |||||
368.669 | − | 368.669i | 0.406471 | − | 0.406471i | −0.474035 | − | 0.880506i | ||
0.880506 | + | 0.474035i | ||||||||
268.668 | − | 1651.84i | 0.295890 | − | 1.81921i | |||||
302.341 | − | 302.341i | 0.332608 | − | 0.332608i | |||||
247.500 | + | 126.756i | 0.271978 | + | 0.139292i | |||||
1592.43i | 1.74800i | 0.485927 | + | 0.873999i | ||||||
−0.485927 | + | 0.873999i | ||||||||
627.896 | + | 209.801i | 0.688482 | + | 0.230045i | |||||
46.0967 | 0.0504893 | |||||||||
−469.739 | + | 917.198i | −0.513938 | + | 1.00350i | |||||
88.7424 | + | 88.7424i | 0.0969863 | + | 0.0969863i | |||||
−66.6408 | + | 409.726i | −0.0727519 | + | 0.447299i | |||||
−123.978 | − | 123.978i | −0.135199 | − | 0.135199i | |||||
−221.347 | + | 71.4118i | −0.241119 | + | 0.0777906i | |||||
−403.500 | −0.439064 | −0.219532 | − | 0.975605i | ||||||
−0.219532 | + | 0.975605i | ||||||||
224.395 | − | 304.839i | 0.243908 | − | 0.331347i | |||||
− | 66.4116i | − | 0.0721081i | |||||||
−15.2818 | + | 4.93029i | −0.0165747 | + | 0.00534738i | |||||
−82.2632 | + | 82.2632i | −0.0891258 | + | 0.0891258i | |||||
130.012 | + | 180.519i | 0.140705 | + | 0.195366i | |||||
−151.602 | + | 151.602i | −0.163894 | + | 0.163894i | |||||
−423.486 | + | 826.886i | −0.457328 | + | 0.892965i | |||||
174.169i | 0.187884i | |||||||||
−11.5855 | + | 1115.07i | −0.0124844 | + | 1.20159i | |||||
348.546 | 0.375184 | 0.187592 | − | 0.982247i | ||||||
0.187592 | + | 0.982247i | ||||||||
−181.809 | − | 93.1128i | −0.195494 | − | 0.100121i | |||||
−869.449 | − | 869.449i | −0.933887 | − | 0.933887i | |||||
507.089 | − | 365.211i | 0.544087 | − | 0.391858i | |||||
454.533 | + | 454.533i | 0.487173 | + | 0.487173i | |||||
−430.734 | − | 1335.10i | −0.461171 | − | 1.42944i | |||||
−102.173 | −0.109276 | |||||||||
−138.478 | + | 188.121i | −0.147946 | + | 0.200984i | |||||
− | 248.875i | − | 0.265609i | −0.991142 | − | 0.132804i | ||||
0.991142 | − | 0.132804i | ||||||||
−88.8292 | − | 275.334i | −0.0947007 | − | 0.293533i | |||||
458.669 | − | 458.669i | 0.488465 | − | 0.488465i | |||||
−256.600 | − | 41.7353i | −0.272978 | − | 0.0443992i | |||||
884.188 | − | 884.188i | 0.939626 | − | 0.939626i | −0.0586528 | − | 0.998278i | ||
0.998278 | + | 0.0586528i | ||||||||
−237.293 | − | 121.529i | −0.251904 | − | 0.129011i | |||||
− | 1565.34i | − | 1.65996i | |||||||
63.0508 | + | 126.329i | 0.0667911 | + | 0.133823i | |||||
−74.2266 | −0.0785466 | |||||||||
201.645 | − | 393.727i | 0.213156 | − | 0.416202i | |||||
462.279 | + | 462.279i | 0.488151 | + | 0.488151i | 0.907722 | − | 0.419571i | ||
−0.419571 | + | 0.907722i | ||||||||
−30.5011 | − | 4.96093i | −0.0321742 | − | 0.00523304i | |||||
−766.221 | − | 766.221i | −0.807398 | − | 0.807398i | |||||
1044.39 | − | 336.944i | 1.09935 | − | 0.354678i | |||||
−119.006 | −0.125138 | |||||||||
269.687 | + | 1774.25i | 0.283285 | + | 1.86371i | |||||
707.656i | 0.742556i | 0.928522 | + | 0.371278i | ||||||
−0.928522 | + | 0.371278i | ||||||||
203.016 | − | 65.4980i | 0.212806 | − | 0.0686562i | |||||
−114.632 | + | 114.632i | −0.120033 | + | 0.120033i | |||||
−42.7525 | + | 30.7909i | −0.0447202 | + | 0.0322081i | |||||
−136.722 | + | 136.722i | −0.142865 | + | 0.142865i | |||||
−345.347 | + | 674.314i | −0.360487 | + | 0.703877i | |||||
1460.22i | 1.52265i | |||||||||
−46.9409 | − | 150.843i | −0.0488968 | − | 0.157128i | |||||
−750.983 | −0.781460 | |||||||||
−161.725 | − | 82.8267i | −0.168113 | − | 0.0860984i | |||||
338.241 | + | 338.241i | 0.351237 | + | 0.351237i | |||||
−443.033 | − | 615.143i | −0.459578 | − | 0.638115i | |||||
−26.7647 | − | 26.7647i | −0.0277354 | − | 0.0277354i | |||||
−353.961 | − | 1097.13i | −0.366419 | − | 1.13575i | |||||
−841.240 | −0.869949 | −0.434974 | − | 0.900443i | ||||||
−0.434974 | + | 0.900443i | ||||||||
875.844 | − | 133.129i | 0.904797 | − | 0.137530i | |||||
926.006i | 0.955630i | |||||||||
−93.9112 | − | 291.086i | −0.0968157 | − | 0.300088i | |||||
308.415 | − | 308.415i | 0.317626 | − | 0.317626i | −0.530229 | − | 0.847855i | ||
0.847855 | + | 0.530229i | ||||||||
10.0101 | − | 61.5451i | 0.0102985 | − | 0.0633180i | |||||
827.654 | − | 827.654i | 0.850621 | − | 0.850621i | |||||
−262.472 | − | 134.424i | −0.269478 | − | 0.138012i | |||||
387.213i | 0.397142i | |||||||||
363.278 | + | 727.866i | 0.372211 | + | 0.745764i | |||||
−1316.85 | −1.34786 | −0.673928 | − | 0.738797i | ||||||
−0.673928 | + | 0.738797i | ||||||||
234.041 | − | 456.981i | 0.239305 | − | 0.467260i | |||||
−49.6897 | − | 49.6897i | −0.0507556 | − | 0.0507556i | |||||
−47.1044 | + | 289.611i | −0.0480657 | + | 0.295521i | |||||
−243.415 | − | 243.415i | −0.248130 | − | 0.248130i | |||||
−294.880 | + | 95.1352i | −0.300285 | + | 0.0968791i | |||||
504.538 | 0.513263 | 0.256632 | − | 0.966509i | ||||||
0.256632 | + | 0.966509i | ||||||||
−526.125 | − | 387.286i | −0.534680 | − | 0.393584i | |||||
104.588i | 0.106181i | |||||||||
−1484.46 | + | 478.922i | −1.50554 | + | 0.485722i | |||||
−559.858 | + | 559.858i | −0.567232 | + | 0.567232i | |||||
543.528 | + | 754.677i | 0.550129 | + | 0.763843i | |||||
−1620.92 | + | 1620.92i | −1.63895 | + | 1.63895i | |||||
12.4864 | − | 24.3805i | 0.0126125 | − | 0.0246268i | |||||
− | 436.650i | − | 0.440616i | −0.975430 | − | 0.220308i | ||||
0.975430 | − | 0.220308i | ||||||||
−926.457 | − | 945.911i | −0.933929 | − | 0.953539i | |||||
−4.62667 | −0.00465929 | |||||||||
−213.277 | − | 109.229i | −0.214565 | − | 0.109888i | |||||
−137.797 | − | 137.797i | −0.138489 | − | 0.138489i | |||||
−80.8979 | + | 58.2637i | −0.0812228 | + | 0.0584977i | |||||
−383.801 | − | 383.801i | −0.384956 | − | 0.384956i | 0.487928 | − | 0.872884i | ||
−0.872884 | + | 0.487928i | ||||||||
313.093 | + | 970.458i | 0.313720 | + | 0.972403i | |||||
48.5021 | 0.0485507 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 48.3.l.a.43.3 | yes | 16 | |
3.2 | odd | 2 | 144.3.m.c.91.6 | 16 | |||
4.3 | odd | 2 | 192.3.l.a.79.3 | 16 | |||
8.3 | odd | 2 | 384.3.l.b.31.6 | 16 | |||
8.5 | even | 2 | 384.3.l.a.31.2 | 16 | |||
12.11 | even | 2 | 576.3.m.c.271.4 | 16 | |||
16.3 | odd | 4 | inner | 48.3.l.a.19.3 | ✓ | 16 | |
16.5 | even | 4 | 384.3.l.b.223.6 | 16 | |||
16.11 | odd | 4 | 384.3.l.a.223.2 | 16 | |||
16.13 | even | 4 | 192.3.l.a.175.3 | 16 | |||
24.5 | odd | 2 | 1152.3.m.f.415.5 | 16 | |||
24.11 | even | 2 | 1152.3.m.c.415.5 | 16 | |||
48.5 | odd | 4 | 1152.3.m.c.991.5 | 16 | |||
48.11 | even | 4 | 1152.3.m.f.991.5 | 16 | |||
48.29 | odd | 4 | 576.3.m.c.559.4 | 16 | |||
48.35 | even | 4 | 144.3.m.c.19.6 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.3.l.a.19.3 | ✓ | 16 | 16.3 | odd | 4 | inner | |
48.3.l.a.43.3 | yes | 16 | 1.1 | even | 1 | trivial | |
144.3.m.c.19.6 | 16 | 48.35 | even | 4 | |||
144.3.m.c.91.6 | 16 | 3.2 | odd | 2 | |||
192.3.l.a.79.3 | 16 | 4.3 | odd | 2 | |||
192.3.l.a.175.3 | 16 | 16.13 | even | 4 | |||
384.3.l.a.31.2 | 16 | 8.5 | even | 2 | |||
384.3.l.a.223.2 | 16 | 16.11 | odd | 4 | |||
384.3.l.b.31.6 | 16 | 8.3 | odd | 2 | |||
384.3.l.b.223.6 | 16 | 16.5 | even | 4 | |||
576.3.m.c.271.4 | 16 | 12.11 | even | 2 | |||
576.3.m.c.559.4 | 16 | 48.29 | odd | 4 | |||
1152.3.m.c.415.5 | 16 | 24.11 | even | 2 | |||
1152.3.m.c.991.5 | 16 | 48.5 | odd | 4 | |||
1152.3.m.f.415.5 | 16 | 24.5 | odd | 2 | |||
1152.3.m.f.991.5 | 16 | 48.11 | even | 4 |