Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(491,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.491");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 637.q (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: | 12.0.2346760387617129.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: |
Embedding invariants
Embedding label | 491.1 | ||
Root | of defining polynomial | ||
Character | 637.491 | ||
Dual form | 637.2.q.i.589.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.99469 | + | 1.15163i | −1.41046 | + | 0.814328i | −0.995431 | − | 0.0954820i | ||
−0.415026 | + | 0.909810i | ||||||||
−0.736680 | − | 1.27597i | −0.425323 | − | 0.736680i | 0.571128 | − | 0.820861i | ||
−0.996451 | + | 0.0841807i | ||||||||
1.65252 | − | 2.86225i | 0.826259 | − | 1.43112i | |||||
0.847292i | 0.378920i | 0.981888 | + | 0.189460i | ||||||
−0.981888 | + | 0.189460i | ||||||||
2.93889 | + | 1.69677i | 1.19980 | + | 0.692704i | |||||
0 | 0 | |||||||||
3.00585i | 1.06273i | |||||||||
0.414604 | − | 0.718115i | 0.138201 | − | 0.239372i | |||||
−0.975769 | − | 1.69008i | −0.308565 | − | 0.534451i | |||||
−1.30198 | + | 0.751701i | −0.392563 | + | 0.226646i | −0.683270 | − | 0.730166i | ||
0.290707 | + | 0.956812i | ||||||||
−4.86951 | −1.40571 | |||||||||
2.92329 | + | 2.11054i | 0.810774 | + | 0.585360i | |||||
0 | 0 | |||||||||
1.08112 | − | 0.624183i | 0.279143 | − | 0.161163i | |||||
−0.156597 | − | 0.271234i | −0.0391492 | − | 0.0678085i | |||||
−1.03570 | + | 1.79389i | −0.251194 | + | 0.435081i | −0.963855 | − | 0.266428i | ||
0.712661 | + | 0.701509i | ||||||||
1.90989i | 0.450164i | |||||||||
0.0410731 | + | 0.0237136i | 0.00942282 | + | 0.00544027i | 0.504704 | − | 0.863292i | ||
−0.495281 | + | 0.868733i | ||||||||
2.42516 | + | 1.40016i | 0.542282 | + | 0.313086i | |||||
0 | 0 | |||||||||
1.73137 | − | 2.99882i | 0.369129 | − | 0.639350i | |||||
−3.90935 | − | 6.77119i | −0.815156 | − | 1.41189i | −0.909216 | − | 0.416325i | ||
0.0940598 | − | 0.995567i | ||||||||
3.83536 | − | 2.21435i | 0.782891 | − | 0.452002i | |||||
4.28210 | 0.856419 | |||||||||
−8.26161 | − | 0.843323i | −1.62024 | − | 0.165389i | |||||
−5.64180 | −1.08577 | |||||||||
0 | 0 | |||||||||
−0.679854 | − | 1.17754i | −0.126246 | − | 0.218664i | 0.795973 | − | 0.605331i | ||
−0.922219 | + | 0.386668i | ||||||||
−1.43766 | + | 2.49010i | −0.262480 | + | 0.454628i | |||||
7.86105i | 1.41189i | 0.708269 | + | 0.705943i | ||||||
−0.708269 | + | 0.705943i | ||||||||
−4.58156 | − | 2.64516i | −0.809912 | − | 0.467603i | |||||
1.91829 | + | 1.10753i | 0.333932 | + | 0.192796i | |||||
− | 4.77099i | − | 0.818218i | |||||||
0 | 0 | |||||||||
−1.37028 | − | 2.37340i | −0.228380 | − | 0.395566i | |||||
5.80427 | − | 3.35110i | 0.954216 | − | 0.550917i | 0.0598278 | − | 0.998209i | ||
0.894388 | + | 0.447292i | ||||||||
−0.109237 | −0.0177206 | |||||||||
0.539460 | − | 5.28482i | 0.0863827 | − | 0.846248i | |||||
−2.54683 | −0.402689 | |||||||||
8.67622 | − | 5.00922i | 1.35500 | − | 0.782309i | 0.366054 | − | 0.930594i | ||
0.988945 | + | 0.148285i | ||||||||
0 | 0 | |||||||||
4.63283 | − | 8.02430i | 0.706500 | − | 1.22369i | −0.259647 | − | 0.965704i | ||
0.966147 | − | 0.257991i | ||||||||
4.96880i | 0.749075i | |||||||||
0.608453 | + | 0.351290i | 0.0907028 | + | 0.0523673i | |||||
15.5959 | + | 9.00428i | 2.29948 | + | 1.32761i | |||||
− | 0.360014i | − | 0.0525134i | −0.999655 | − | 0.0262567i | ||||
0.999655 | − | 0.0262567i | ||||||||
−0.230724 | + | 0.399625i | −0.0333021 | + | 0.0576810i | |||||
0 | 0 | |||||||||
−8.54144 | + | 4.93141i | −1.20794 | + | 0.697406i | |||||
3.05192 | 0.427355 | |||||||||
10.8717 | − | 4.87945i | 1.50763 | − | 0.676658i | |||||
2.71181 | 0.372496 | 0.186248 | − | 0.982503i | ||||||
0.186248 | + | 0.982503i | ||||||||
11.2536 | − | 6.49729i | 1.53143 | − | 0.884169i | |||||
−0.636910 | − | 1.10316i | −0.0858809 | − | 0.148750i | |||||
0 | 0 | |||||||||
− | 0.0698773i | − | 0.00925548i | |||||||
2.71219 | + | 1.56588i | 0.356128 | + | 0.205611i | |||||
1.42132 | + | 0.820598i | 0.185040 | + | 0.106833i | 0.589658 | − | 0.807653i | ||
−0.404619 | + | 0.914486i | ||||||||
− | 4.12590i | − | 0.532651i | |||||||
2.26097 | − | 3.91612i | 0.289488 | − | 0.501407i | −0.684200 | − | 0.729295i | ||
0.973688 | + | 0.227887i | ||||||||
−9.05305 | − | 15.6803i | −1.14974 | − | 1.99140i | |||||
0 | 0 | |||||||||
12.8114 | 1.60143 | |||||||||
−1.78825 | + | 2.47688i | −0.221805 | + | 0.307219i | |||||
−5.10186 | −0.627995 | |||||||||
1.76900 | − | 1.02133i | 0.216117 | − | 0.124775i | −0.388034 | − | 0.921645i | ||
0.604151 | + | 0.796870i | ||||||||
3.42303 | + | 5.92886i | 0.415103 | + | 0.718980i | |||||
−5.75988 | + | 9.97641i | −0.693409 | + | 1.20102i | |||||
0 | 0 | |||||||||
12.3096 | + | 7.10697i | 1.46088 | + | 0.843442i | 0.999052 | − | 0.0435255i | ||
0.461832 | + | 0.886967i | ||||||||
2.15854 | + | 1.24624i | 0.254387 | + | 0.146870i | |||||
− | 6.76150i | − | 0.791373i | −0.918386 | − | 0.395687i | ||||
0.918386 | − | 0.395687i | ||||||||
−7.71847 | + | 13.3688i | −0.897253 | + | 1.55409i | |||||
−3.15454 | − | 5.46382i | −0.364255 | − | 0.630907i | |||||
0.135748 | − | 0.0783743i | 0.0155714 | − | 0.00899015i | |||||
0 | 0 | |||||||||
5.01012 | + | 11.1628i | 0.567284 | + | 1.26394i | |||||
11.6590 | 1.31175 | 0.655873 | − | 0.754871i | ||||||
0.655873 | + | 0.754871i | ||||||||
0.229814 | − | 0.132683i | 0.0256940 | − | 0.0148344i | |||||
2.91240 | + | 5.04442i | 0.323600 | + | 0.560491i | |||||
−11.5376 | + | 19.9837i | −1.27411 | + | 2.20683i | |||||
11.5362i | 1.26627i | 0.774043 | + | 0.633133i | ||||||
−0.774043 | + | 0.633133i | ||||||||
0 | 0 | |||||||||
−1.51994 | − | 0.877541i | −0.164861 | − | 0.0951826i | |||||
21.3413i | 2.30129i | |||||||||
−1.00167 | + | 1.73494i | −0.107390 | + | 0.186006i | |||||
−2.25950 | − | 3.91357i | −0.240863 | − | 0.417188i | |||||
15.1652 | − | 8.75561i | 1.60750 | − | 0.928093i | 0.617577 | − | 0.786510i | ||
0.989927 | − | 0.141582i | ||||||||
−1.61823 | −0.170576 | |||||||||
0 | 0 | |||||||||
−25.8411 | −2.69412 | |||||||||
10.0304 | − | 5.79108i | 1.04011 | − | 0.600507i | |||||
0.414604 | + | 0.718115i | 0.0427631 | + | 0.0740679i | |||||
−0.0200923 | + | 0.0348009i | −0.00206143 | + | 0.00357050i | |||||
7.79456i | 0.795529i | |||||||||
−0.369125 | − | 0.213115i | −0.0374790 | − | 0.0216385i | 0.481143 | − | 0.876642i | ||
−0.518622 | + | 0.855003i | ||||||||
0 | 0 | |||||||||
1.24663i | 0.125291i | |||||||||
7.07624 | − | 12.2564i | 0.707624 | − | 1.22564i | |||||
−4.83499 | − | 8.37444i | −0.481099 | − | 0.833288i | 0.518666 | − | 0.854977i | ||
−0.999765 | + | 0.0216891i | ||||||||
−6.08763 | + | 3.51469i | −0.602765 | + | 0.348007i | |||||
−9.97823 | −0.983185 | −0.491592 | − | 0.870825i | ||||||
−0.491592 | + | 0.870825i | ||||||||
−6.34397 | + | 8.78695i | −0.622078 | + | 0.861631i | |||||
0 | 0 | |||||||||
−5.40922 | + | 3.12301i | −0.525390 | + | 0.303334i | |||||
−4.93111 | − | 8.54094i | −0.476709 | − | 0.825684i | 0.522935 | − | 0.852373i | ||
−0.999644 | + | 0.0266888i | ||||||||
−9.32319 | + | 16.1482i | −0.897124 | + | 1.55386i | |||||
− | 11.6055i | − | 1.11161i | −0.831314 | − | 0.555803i | ||||
0.831314 | − | 0.555803i | ||||||||
2.54087 | + | 1.46697i | 0.242263 | + | 0.139870i | |||||
−8.55178 | − | 4.93737i | −0.811699 | − | 0.468635i | |||||
0 | 0 | |||||||||
1.73879 | − | 3.01167i | 0.163572 | − | 0.283314i | −0.772576 | − | 0.634923i | ||
0.936147 | + | 0.351609i | ||||||||
0.0804731 | + | 0.139383i | 0.00753699 | + | 0.0130545i | |||||
5.73718 | − | 3.31236i | 0.534994 | − | 0.308879i | |||||
−4.49388 | −0.417247 | |||||||||
2.72762 | − | 1.22422i | 0.252168 | − | 0.113179i | |||||
−3.78011 | −0.347987 | |||||||||
0 | 0 | |||||||||
1.87620 | + | 3.24967i | 0.171273 | + | 0.296653i | |||||
−4.36989 | + | 7.56887i | −0.397263 | + | 0.688079i | |||||
10.4152i | 0.942951i | |||||||||
−12.7832 | − | 7.38039i | −1.15262 | − | 0.665467i | |||||
22.5003 | + | 12.9905i | 2.02058 | + | 1.16658i | |||||
7.86464i | 0.703435i | |||||||||
0 | 0 | |||||||||
−7.84992 | − | 13.5965i | −0.696567 | − | 1.20649i | −0.969649 | − | 0.244499i | ||
0.273082 | − | 0.961991i | ||||||||
−16.3917 | + | 9.46373i | −1.44883 | + | 0.836483i | |||||
−13.6517 | −1.20196 | |||||||||
0.714541 | − | 7.00000i | 0.0626694 | − | 0.613940i | |||||
2.54517 | 0.222373 | 0.111186 | − | 0.993800i | ||||||
0.111186 | + | 0.993800i | ||||||||
6.34003 | − | 3.66042i | 0.551829 | − | 0.318598i | |||||
0 | 0 | |||||||||
−2.35240 | + | 4.07447i | −0.203216 | + | 0.351981i | |||||
− | 4.78025i | − | 0.411419i | |||||||
−5.39215 | − | 3.11316i | −0.462373 | − | 0.266951i | |||||
1.61490 | + | 0.932362i | 0.137970 | + | 0.0796571i | 0.567396 | − | 0.823445i | ||
−0.429426 | + | 0.903102i | ||||||||
− | 26.5331i | − | 2.25865i | |||||||
7.80462 | − | 13.5180i | 0.661979 | − | 1.14658i | −0.318116 | − | 0.948052i | ||
0.980095 | − | 0.198530i | ||||||||
0 | 0 | |||||||||
−0.459366 | + | 0.265215i | −0.0386856 | + | 0.0223351i | |||||
−32.7385 | −2.74735 | |||||||||
−5.39257 | − | 0.550459i | −0.450949 | − | 0.0460317i | |||||
−0.259703 | −0.0216419 | |||||||||
0.997721 | − | 0.576035i | 0.0828562 | − | 0.0478371i | |||||
7.78676 | + | 13.4871i | 0.644437 | + | 1.11620i | |||||
0 | 0 | |||||||||
− | 22.1510i | − | 1.82080i | |||||||
−5.51106 | − | 3.18181i | −0.451484 | − | 0.260664i | 0.256973 | − | 0.966419i | ||
−0.708457 | + | 0.705754i | ||||||||
12.5846 | + | 7.26574i | 1.02753 | + | 0.593245i | |||||
0.664094i | 0.0540432i | 0.999635 | + | 0.0270216i | ||||||
−0.999635 | + | 0.0270216i | ||||||||
−0.0712794 | + | 0.123460i | −0.00578152 | + | 0.0100139i | |||||
0.858811 | + | 1.48750i | 0.0694307 | + | 0.120258i | |||||
0 | 0 | |||||||||
−6.66060 | −0.534992 | |||||||||
−14.2350 | − | 10.2773i | −1.13971 | − | 0.822844i | |||||
16.5760 | 1.32291 | 0.661453 | − | 0.749986i | ||||||
0.661453 | + | 0.749986i | ||||||||
−23.2562 | + | 13.4269i | −1.85016 | + | 1.06819i | |||||
−1.99774 | − | 3.46019i | −0.158431 | − | 0.274411i | |||||
2.24122 | − | 3.88191i | 0.177184 | − | 0.306892i | |||||
0 | 0 | |||||||||
−11.6186 | − | 6.70802i | −0.912846 | − | 0.527032i | |||||
−7.83863 | − | 4.52563i | −0.613969 | − | 0.354475i | 0.160548 | − | 0.987028i | ||
−0.774517 | + | 0.632553i | ||||||||
− | 33.1113i | − | 2.58556i | |||||||
−0.938398 | + | 1.62535i | −0.0730542 | + | 0.126534i | |||||
−13.2855 | − | 23.0112i | −1.03116 | − | 1.78601i | |||||
2.30156 | − | 1.32880i | 0.178100 | − | 0.102826i | −0.408300 | − | 0.912848i | ||
0.586400 | + | 0.810022i | ||||||||
0 | 0 | |||||||||
4.09120 | + | 12.3395i | 0.314708 | + | 0.949189i | |||||
4.04242 | 0.310039 | |||||||||
0.0340582 | − | 0.0196635i | 0.00260449 | − | 0.00150370i | |||||
−15.3117 | − | 26.5206i | −1.16750 | − | 2.02218i | |||||
−9.79352 | + | 16.9629i | −0.744588 | + | 1.28966i | 0.205799 | + | 0.978594i | ||
−0.950387 | + | 0.311070i | ||||||||
− | 4.61423i | − | 0.349804i | |||||||
0 | 0 | |||||||||
0.407774 | + | 0.235428i | 0.0307371 | + | 0.0177461i | |||||
− | 2.41807i | − | 0.181754i | |||||||
−20.1665 | + | 34.9294i | −1.51154 | + | 2.61807i | |||||
−1.44666 | − | 2.50569i | −0.108129 | − | 0.187284i | 0.806884 | − | 0.590711i | ||
−0.915012 | + | 0.403426i | ||||||||
2.01096 | − | 1.16103i | 0.149888 | − | 0.0865379i | |||||
1.36804 | 0.101686 | 0.0508429 | − | 0.998707i | ||||||
0.0508429 | + | 0.998707i | ||||||||
0 | 0 | |||||||||
−6.66245 | −0.492503 | |||||||||
20.3532 | − | 11.7509i | 1.50046 | − | 0.866289i | |||||
2.83936 | + | 4.91791i | 0.208754 | + | 0.361572i | |||||
−13.3384 | + | 23.1028i | −0.978019 | + | 1.69398i | |||||
− | 3.11415i | − | 0.227729i | |||||||
−1.03045 | − | 0.594929i | −0.0751531 | − | 0.0433897i | |||||
0 | 0 | |||||||||
− | 0.0925559i | − | 0.00671471i | |||||||
0.756625 | − | 1.31051i | 0.0547475 | − | 0.0948254i | −0.837353 | − | 0.546663i | ||
0.892100 | + | 0.451837i | ||||||||
−9.43792 | − | 16.3470i | −0.681123 | − | 1.17974i | |||||
6.02229 | − | 3.47697i | 0.433494 | − | 0.250278i | −0.267340 | − | 0.963602i | ||
0.700834 | + | 0.713324i | ||||||||
0.981719 | 0.0704834 | |||||||||
4.47778 | + | 0.457080i | 0.320661 | + | 0.0327322i | |||||
0 | 0 | |||||||||
−13.4037 | + | 7.73860i | −0.954971 | + | 0.551353i | −0.894622 | − | 0.446825i | ||
−0.0603494 | + | 0.998177i | ||||||||
−1.43566 | − | 2.48664i | −0.102028 | − | 0.176718i | |||||
−3.30764 | + | 5.72901i | −0.234473 | + | 0.406118i | −0.959119 | − | 0.283002i | ||
0.724647 | + | 0.689121i | ||||||||
12.8713i | 0.910140i | |||||||||
−2.60637 | − | 1.50479i | −0.183839 | − | 0.106140i | |||||
19.2886 | + | 11.1363i | 1.35714 | + | 0.783545i | |||||
0 | 0 | |||||||||
5.04336 | − | 8.73535i | 0.353106 | − | 0.611597i | |||||
4.24427 | + | 7.35129i | 0.296433 | + | 0.513436i | |||||
19.9035 | − | 11.4913i | 1.38674 | − | 0.800634i | |||||
−6.48333 | −0.450622 | |||||||||
0.114674 | − | 1.12340i | 0.00795118 | − | 0.0778937i | |||||
−0.0713021 | −0.00493207 | |||||||||
0 | 0 | |||||||||
4.04714 | + | 7.00986i | 0.278617 | + | 0.482578i | 0.971041 | − | 0.238912i | ||
−0.692424 | + | 0.721490i | ||||||||
4.48132 | − | 7.76187i | 0.307778 | − | 0.533088i | |||||
− | 20.9423i | − | 1.43494i | |||||||
19.6721 | + | 11.3577i | 1.34475 | + | 0.776394i | |||||
6.79892 | + | 3.92536i | 0.463683 | + | 0.267707i | |||||
− | 16.9584i | − | 1.15387i | |||||||
0 | 0 | |||||||||
13.3653 | + | 23.1493i | 0.905211 | + | 1.56787i | |||||
−8.62745 | + | 4.98106i | −0.582989 | + | 0.336589i | |||||
−4.21002 | −0.283840 | |||||||||
−6.81373 | + | 3.05815i | −0.458341 | + | 0.205713i | |||||
22.7442 | 1.52649 | |||||||||
−13.9067 | + | 8.02903i | −0.931261 | + | 0.537664i | −0.887210 | − | 0.461366i | ||
−0.0440506 | + | 0.999029i | ||||||||
0 | 0 | |||||||||
1.77537 | − | 3.07504i | 0.118358 | − | 0.205002i | |||||
8.00979i | 0.532804i | |||||||||
−1.12220 | − | 0.647903i | −0.0744831 | − | 0.0430029i | 0.462296 | − | 0.886726i | ||
−0.536779 | + | 0.843723i | ||||||||
−0.200006 | − | 0.115474i | −0.0132457 | − | 0.00764742i | |||||
20.8175i | 1.37566i | 0.725871 | + | 0.687831i | ||||||
−0.725871 | + | 0.687831i | ||||||||
−7.62925 | + | 13.2142i | −0.503058 | + | 0.871322i | |||||
0 | 0 | |||||||||
3.53951 | − | 2.04354i | 0.232380 | − | 0.134165i | |||||
13.3043 | 0.871591 | 0.435796 | − | 0.900046i | ||||||
0.435796 | + | 0.900046i | ||||||||
−4.03090 | + | 5.58314i | −0.263508 | + | 0.364981i | |||||
0.305037 | 0.0198984 | |||||||||
4.69751 | − | 2.71211i | 0.305782 | − | 0.176543i | |||||
−8.58899 | − | 14.8766i | −0.557915 | − | 0.966337i | |||||
0 | 0 | |||||||||
− | 13.3652i | − | 0.864525i | −0.901748 | − | 0.432263i | ||||
0.901748 | − | 0.432263i | ||||||||
−0.338599 | − | 0.195490i | −0.0218565 | − | 0.0126188i | |||||
−0.722398 | − | 0.417076i | −0.0465337 | − | 0.0268663i | 0.476553 | − | 0.879146i | ||
−0.523086 | + | 0.852280i | ||||||||
− | 20.1300i | − | 1.29401i | |||||||
−4.17170 | + | 7.22559i | −0.267614 | + | 0.463522i | |||||
−7.47259 | − | 12.9429i | −0.478384 | − | 0.828585i | |||||
0 | 0 | |||||||||
33.9980 | 2.16763 | |||||||||
0.0700199 | + | 0.156008i | 0.00445526 | + | 0.00992657i | |||||
−23.6291 | −1.50045 | |||||||||
14.7199 | − | 8.49852i | 0.932834 | − | 0.538572i | |||||
−9.05718 | − | 15.6875i | −0.572827 | − | 0.992165i | |||||
−13.6360 | + | 23.6183i | −0.860699 | + | 1.49078i | 0.0105555 | + | 0.999944i | ||
−0.871255 | + | 0.490831i | ||||||||
0 | 0 | |||||||||
10.1798 | + | 5.87733i | 0.640000 | + | 0.369504i | |||||
31.3163 | + | 18.0804i | 1.96496 | + | 1.13447i | |||||
2.58587i | 0.161933i | |||||||||
8.98607 | − | 15.5643i | 0.561630 | − | 0.972771i | |||||
−3.27594 | − | 5.67409i | −0.204348 | − | 0.353940i | 0.745577 | − | 0.666419i | ||
−0.949925 | + | 0.312479i | ||||||||
27.2308 | − | 15.7217i | 1.69532 | − | 0.978791i | |||||
0 | 0 | |||||||||
4.13432 | + | 9.21148i | 0.256399 | + | 0.571272i | |||||
−1.12748 | −0.0697893 | |||||||||
−5.07682 | + | 2.93110i | −0.313647 | + | 0.181084i | |||||
11.2945 | + | 19.5627i | 0.696450 | + | 1.20629i | 0.969689 | + | 0.244341i | ||
−0.273239 | + | 0.961946i | ||||||||
−3.32906 | + | 5.76610i | −0.204889 | + | 0.354879i | |||||
2.29770i | 0.141146i | |||||||||
0 | 0 | |||||||||
−22.3437 | − | 12.9002i | −1.36742 | − | 0.789478i | |||||
− | 6.75107i | − | 0.412387i | |||||||
8.00065 | − | 13.8575i | 0.487808 | − | 0.844909i | −0.512093 | − | 0.858930i | ||
0.999902 | + | 0.0140210i | ||||||||
5.50510 | + | 9.53511i | 0.335030 | + | 0.580288i | |||||
−7.58582 | + | 4.37967i | −0.460806 | + | 0.266046i | −0.712383 | − | 0.701791i | ||
0.251577 | + | 0.967837i | ||||||||
0.648750 | 0.0393363 | |||||||||
0 | 0 | |||||||||
−4.29496 | −0.259468 | |||||||||
−5.57522 | + | 3.21886i | −0.336199 | + | 0.194104i | |||||
19.0366 | + | 32.9724i | 1.14587 | + | 1.98471i | |||||
−9.95914 | + | 17.2497i | −0.598387 | + | 1.03644i | 0.394673 | + | 0.918822i | ||
−0.993059 | + | 0.117614i | ||||||||
35.9522i | 2.15627i | |||||||||
5.64514 | + | 3.25922i | 0.337965 | + | 0.195124i | |||||
0 | 0 | |||||||||
14.0234i | 0.836566i | 0.908317 | + | 0.418283i | ||||||
−0.908317 | + | 0.418283i | ||||||||
0.610861 | − | 1.05804i | 0.0363762 | − | 0.0630055i | |||||
−0.506295 | − | 0.876929i | −0.0300961 | − | 0.0521280i | 0.850585 | − | 0.525838i | ||
−0.880681 | + | 0.473710i | ||||||||
40.6838 | − | 23.4888i | 2.41414 | − | 1.39380i | |||||
0.0592065 | 0.00350709 | |||||||||
11.3904 | − | 5.11227i | 0.673530 | − | 0.302295i | |||||
0 | 0 | |||||||||
−3.79906 | + | 2.19339i | −0.223862 | + | 0.129247i | |||||
6.35465 | + | 11.0066i | 0.373803 | + | 0.647446i | |||||
−1.32676 | + | 2.29802i | −0.0779101 | + | 0.134944i | |||||
0.627989i | 0.0368134i | |||||||||
−19.3531 | − | 11.1735i | −1.13255 | − | 0.653879i | |||||
0.172543 | + | 0.0996176i | 0.0100801 | + | 0.00581972i | 0.505032 | − | 0.863101i | ||
−0.494952 | + | 0.868921i | ||||||||
0 | 0 | |||||||||
−0.695286 | + | 1.20427i | −0.0404811 | + | 0.0701153i | |||||
10.0729 | + | 17.4467i | 0.585474 | + | 1.01407i | |||||
7.34554 | − | 4.24095i | 0.426232 | − | 0.246085i | |||||
14.6571 | 0.849065 | |||||||||
2.86276 | − | 28.0450i | 0.165558 | − | 1.62188i | |||||
−20.8517 | −1.20387 | |||||||||
0 | 0 | |||||||||
−0.764792 | − | 1.32466i | −0.0440088 | − | 0.0762256i | |||||
−7.12368 | + | 12.3386i | −0.409245 | + | 0.708833i | |||||
− | 0.0148539i | − | 0.000851930i | |||||||
3.31809 | + | 1.91570i | 0.189993 | + | 0.109693i | |||||
−3.42612 | − | 1.97807i | −0.195858 | − | 0.113079i | |||||
− | 27.2004i | − | 1.55241i | −0.630482 | − | 0.776204i | ||||
0.630482 | − | 0.776204i | ||||||||
0 | 0 | |||||||||
7.35077 | + | 12.7319i | 0.418171 | + | 0.724293i | |||||
13.2858 | − | 7.67057i | 0.754584 | − | 0.435659i | |||||
27.1009 | 1.53675 | 0.768376 | − | 0.639999i | ||||||
0.768376 | + | 0.639999i | ||||||||
15.8854 | + | 1.62153i | 0.899331 | + | 0.0918013i | |||||
22.0785 | 1.24795 | 0.623975 | − | 0.781445i | ||||||
0.623975 | + | 0.781445i | ||||||||
−33.0639 | + | 19.0894i | −1.86590 | + | 1.07728i | |||||
0 | 0 | |||||||||
19.2668 | − | 33.3711i | 1.08384 | − | 1.87727i | |||||
7.06823i | 0.396991i | 0.980102 | + | 0.198496i | ||||||
−0.980102 | + | 0.198496i | ||||||||
7.96973 | + | 4.60133i | 0.446920 | + | 0.258030i | |||||
1.77032 | + | 1.02209i | 0.0991188 | + | 0.0572263i | |||||
10.8550i | 0.606813i | |||||||||
−7.26531 | + | 12.5839i | −0.405510 | + | 0.702364i | |||||
0 | 0 | |||||||||
−0.0850789 | + | 0.0491204i | −0.00473392 | + | 0.00273313i | |||||
19.2512 | 1.06951 | |||||||||
12.5178 | + | 9.03756i | 0.694362 | + | 0.501313i | |||||
20.8475 | 1.15464 | |||||||||
−14.8082 | + | 8.54955i | −0.818898 | + | 0.472791i | |||||
15.0569 | + | 26.0794i | 0.831381 | + | 1.43999i | |||||
0 | 0 | |||||||||
− | 4.32276i | − | 0.237960i | |||||||
−5.70588 | − | 3.29429i | −0.313623 | − | 0.181071i | 0.334923 | − | 0.942245i | ||
−0.648547 | + | 0.761175i | ||||||||
33.0195 | + | 19.0638i | 1.81218 | + | 1.04626i | |||||
− | 5.55751i | − | 0.304550i | |||||||
−3.06059 | + | 5.30110i | −0.167468 | + | 0.290063i | |||||
0.865365 | + | 1.49886i | 0.0472799 | + | 0.0818912i | |||||
0 | 0 | |||||||||
−4.22290 | −0.230036 | −0.115018 | − | 0.993363i | ||||||
−0.115018 | + | 0.993363i | ||||||||
−22.3712 | − | 19.9018i | −1.21683 | − | 1.08251i | |||||
−5.12373 | −0.278283 | |||||||||
−5.02347 | + | 2.90030i | −0.272436 | + | 0.157291i | |||||
−5.90916 | − | 10.2350i | −0.319999 | − | 0.554254i | |||||
−0.0452902 | + | 0.0784450i | −0.00244902 | + | 0.00424182i | |||||
0 | 0 | |||||||||
24.1198 | + | 13.9256i | 1.30045 | + | 0.750817i | |||||
−8.45293 | − | 4.88030i | −0.455091 | − | 0.262747i | |||||
− | 45.1142i | − | 2.42535i | |||||||
4.54739 | − | 7.87631i | 0.244117 | − | 0.422822i | −0.717766 | − | 0.696284i | ||
0.961883 | + | 0.273462i | ||||||||
3.31056 | + | 5.73405i | 0.177464 | + | 0.307378i | |||||
−7.98521 | + | 4.61026i | −0.427439 | + | 0.246782i | −0.698255 | − | 0.715849i | ||
0.270816 | + | 0.962631i | ||||||||
0 | 0 | |||||||||
−16.4926 | − | 11.9073i | −0.880310 | − | 0.635564i | |||||
7.95349 | 0.423922 | |||||||||
1.86584 | − | 1.07724i | 0.0993087 | − | 0.0573359i | −0.449523 | − | 0.893269i | ||
0.548832 | + | 0.835933i | ||||||||
2.78473 | + | 4.82330i | 0.148007 | + | 0.256356i | |||||
−6.02167 | + | 10.4298i | −0.319597 | + | 0.553559i | |||||
− | 57.8752i | − | 3.06738i | |||||||
0 | 0 | |||||||||
5.77128 | + | 3.33205i | 0.305021 | + | 0.176104i | |||||
8.55756i | 0.451651i | 0.974168 | + | 0.225825i | ||||||
−0.974168 | + | 0.225825i | ||||||||
−1.05593 | + | 1.82892i | −0.0556521 | + | 0.0963923i | |||||
−9.49888 | − | 16.4525i | −0.499941 | − | 0.865923i | |||||
−2.72881 | + | 1.57548i | −0.143423 | + | 0.0828055i | |||||
12.8769 | 0.675860 | |||||||||
0 | 0 | |||||||||
5.72896 | 0.299867 | |||||||||
13.2895 | − | 7.67270i | 0.694654 | − | 0.401059i | |||||
1.14912 | + | 1.99033i | 0.0599833 | + | 0.103894i | 0.894458 | − | 0.447153i | ||
−0.834474 | + | 0.551047i | ||||||||
−1.22438 | + | 2.12070i | −0.0638255 | + | 0.110549i | |||||
− | 8.30736i | − | 0.432464i | |||||||
−11.3273 | − | 6.53979i | −0.588876 | − | 0.339988i | |||||
0 | 0 | |||||||||
− | 38.2795i | − | 1.98470i | |||||||
−5.88418 | + | 10.1917i | −0.304672 | + | 0.527707i | −0.977188 | − | 0.212375i | ||
0.672517 | + | 0.740082i | ||||||||
3.58636 | + | 6.21175i | 0.185446 | + | 0.321202i | |||||
10.0350 | − | 5.79373i | 0.518207 | − | 0.299187i | |||||
1.08215 | 0.0558074 | |||||||||
0.497847 | − | 4.87715i | 0.0256404 | − | 0.251186i | |||||
0 | 0 | |||||||||
−6.92034 | + | 3.99546i | −0.355474 | + | 0.205233i | −0.667094 | − | 0.744974i | ||
0.311619 | + | 0.950207i | ||||||||
0.0664059 | + | 0.115018i | 0.00340655 | + | 0.00590032i | |||||
−11.5658 | + | 20.0325i | −0.592532 | + | 1.02630i | |||||
3.48542i | 0.178329i | |||||||||
−24.4605 | − | 14.1223i | −1.24988 | − | 0.721616i | −0.278791 | − | 0.960352i | ||
−0.971084 | + | 0.238736i | ||||||||
24.1508 | + | 13.9435i | 1.23244 | + | 0.711551i | |||||
0 | 0 | |||||||||
−8.00839 | + | 13.8709i | −0.407616 | + | 0.706012i | |||||
−3.84158 | − | 6.65381i | −0.195278 | − | 0.338232i | |||||
−1.21997 | + | 0.704352i | −0.0619347 | + | 0.0357580i | |||||
−7.68086 | −0.389435 | −0.194717 | − | 0.980859i | ||||||
−0.194717 | + | 0.980859i | ||||||||
−9.45816 | + | 4.24503i | −0.478933 | + | 0.214955i | |||||
16.1957 | 0.819050 | |||||||||
0 | 0 | |||||||||
−1.87498 | − | 3.24756i | −0.0945801 | − | 0.163818i | |||||
17.8241 | − | 30.8722i | 0.897964 | − | 1.55532i | |||||
9.87862i | 0.497047i | |||||||||
3.56817 | + | 2.06008i | 0.179307 | + | 0.103523i | |||||
6.45433 | + | 3.72641i | 0.323933 | + | 0.187023i | 0.653144 | − | 0.757233i | ||
−0.329211 | + | 0.944256i | ||||||||
− | 15.2368i | − | 0.763750i | |||||||
0 | 0 | |||||||||
−0.670563 | − | 1.16145i | −0.0335282 | − | 0.0580725i | |||||
15.7601 | − | 9.09912i | 0.787024 | − | 0.454389i | −0.0518898 | − | 0.998653i | ||
0.838914 | + | 0.544264i | ||||||||
6.93186 | 0.345730 | |||||||||
−16.5911 | + | 22.9801i | −0.826461 | + | 1.14472i | |||||
−31.9596 | −1.59005 | |||||||||
−4.27409 | + | 2.46765i | −0.212381 | + | 0.122618i | |||||
0 | 0 | |||||||||
−5.03804 | + | 8.72615i | −0.249727 | + | 0.432539i | |||||
9.17361i | 0.454161i | |||||||||
−25.3594 | − | 14.6413i | −1.25394 | − | 0.723964i | −0.282053 | − | 0.959399i | ||
−0.971890 | + | 0.235435i | ||||||||
−16.9320 | − | 9.77568i | −0.836211 | − | 0.482787i | |||||
− | 2.74741i | − | 0.135520i | |||||||
−16.4892 | + | 28.5602i | −0.812365 | + | 1.40706i | |||||
0 | 0 | |||||||||
12.9322 | − | 7.46641i | 0.635583 | − | 0.366954i | |||||
−9.77456 | −0.479814 | |||||||||
−7.81047 | − | 17.4021i | −0.382940 | − | 0.853210i | |||||
−22.9980 | −1.12622 | |||||||||
0.142225 | − | 0.0821139i | 0.00695647 | − | 0.00401632i | |||||
−10.3697 | − | 17.9608i | −0.506591 | − | 0.877441i | −0.999971 | − | 0.00762733i | ||
0.493380 | − | 0.869814i | ||||||||
0 | 0 | |||||||||
24.8696i | 1.21207i | 0.795437 | + | 0.606036i | ||||||
−0.795437 | + | 0.606036i | ||||||||
−16.1456 | − | 9.32165i | −0.785954 | − | 0.453771i | |||||
−0.258531 | − | 0.149263i | −0.0125702 | − | 0.00725742i | |||||
8.15130i | 0.395862i | |||||||||
−4.43497 | + | 7.68159i | −0.215128 | + | 0.372612i | |||||
24.1178 | + | 41.7733i | 1.16851 | + | 2.02392i | |||||
0 | 0 | |||||||||
−32.5950 | −1.57554 | |||||||||
3.27023 | + | 7.28626i | 0.157888 | + | 0.351784i | |||||
−18.0823 | −0.872006 | |||||||||
18.3327 | − | 10.5844i | 0.883055 | − | 0.509832i | 0.0113906 | − | 0.999935i | ||
0.871665 | + | 0.490103i | ||||||||
0.883489 | + | 1.53025i | 0.0425069 | + | 0.0736241i | |||||
11.7148 | − | 20.2906i | 0.562977 | − | 0.975105i | −0.434258 | − | 0.900789i | ||
0.997235 | − | 0.0743163i | ||||||||
0 | 0 | |||||||||
−1.47000 | − | 0.848707i | −0.0704813 | − | 0.0406924i | |||||
−33.2178 | − | 19.1783i | −1.59084 | − | 0.918474i | |||||
− | 0.370819i | − | 0.0177387i | |||||||
11.4727 | − | 19.8713i | 0.548187 | − | 0.949488i | |||||
6.01919 | + | 10.4256i | 0.287280 | + | 0.497584i | 0.973160 | − | 0.230131i | ||
−0.685879 | + | 0.727715i | ||||||||
3.31593 | − | 1.91445i | 0.158081 | − | 0.0912680i | |||||
0 | 0 | |||||||||
10.0694 | − | 13.9470i | 0.478952 | − | 0.663390i | |||||
15.7331 | 0.747503 | 0.373752 | − | 0.927529i | ||||||
0.373752 | + | 0.927529i | ||||||||
−28.2640 | + | 16.3182i | −1.34135 | + | 0.774427i | |||||
7.41855 | + | 12.8493i | 0.351673 | + | 0.609116i | |||||
18.4930 | − | 32.0308i | 0.875669 | − | 1.51670i | |||||
9.37592i | 0.443466i | |||||||||
0 | 0 | |||||||||
22.5177 | + | 13.0006i | 1.06268 | + | 0.613536i | 0.926171 | − | 0.377104i | ||
0.136504 | + | 0.990640i | ||||||||
8.17832i | 0.385530i | |||||||||
−7.53087 | + | 13.0438i | −0.354615 | + | 0.614211i | |||||
−5.74676 | − | 9.95369i | −0.270305 | − | 0.468182i | |||||
0.847362 | − | 0.489225i | 0.0398125 | − | 0.0229858i | |||||
2.98459 | 0.140074 | |||||||||
0 | 0 | |||||||||
0.210041 | 0.00983605 | |||||||||
−26.6700 | + | 15.3979i | −1.24757 | + | 0.720284i | −0.970624 | − | 0.240602i | ||
−0.276945 | + | 0.960886i | ||||||||
−23.9742 | − | 41.5245i | −1.12024 | − | 1.94031i | |||||
5.84322 | − | 10.1208i | 0.272738 | − | 0.472396i | |||||
− | 21.8949i | − | 1.02086i | |||||||
29.5278 | + | 17.0479i | 1.37525 | + | 0.794000i | 0.991583 | − | 0.129472i | ||
0.383665 | + | 0.923472i | ||||||||
0 | 0 | |||||||||
− | 1.69184i | − | 0.0786263i | −0.999227 | − | 0.0393131i | ||||
0.999227 | − | 0.0393131i | ||||||||
−0.212926 | + | 0.368799i | −0.00988485 | + | 0.0171211i | |||||
4.90674 | + | 8.49871i | 0.227544 | + | 0.394118i | |||||
−26.5378 | + | 15.3216i | −1.22934 | + | 0.709761i | |||||
28.3524 | 1.31199 | 0.655996 | − | 0.754764i | ||||||
0.655996 | + | 0.754764i | ||||||||
1.00344 | − | 9.83015i | 0.0463838 | − | 0.454399i | |||||
0 | 0 | |||||||||
−0.608453 | + | 0.351290i | −0.0280658 | + | 0.0162038i | |||||
−12.2112 | − | 21.1504i | −0.562662 | − | 0.974559i | |||||
−2.46659 | + | 4.27226i | −0.113534 | + | 0.196647i | |||||
13.9300i | 0.640503i | |||||||||
34.2647 | + | 19.7827i | 1.57383 | + | 0.908651i | |||||
0.175879 | + | 0.101544i | 0.00806989 | + | 0.00465915i | |||||
0 | 0 | |||||||||
1.12433 | − | 1.94739i | 0.0514794 | − | 0.0891650i | |||||
15.3918 | + | 26.6595i | 0.704007 | + | 1.21938i | |||||
5.44077 | − | 3.14123i | 0.248595 | − | 0.143526i | −0.370526 | − | 0.928822i | ||
0.619121 | + | 0.785296i | ||||||||
−6.60426 | −0.301442 | |||||||||
24.0402 | + | 2.45396i | 1.09614 | + | 0.111891i | |||||
1.92128 | 0.0875117 | |||||||||
0 | 0 | |||||||||
14.4427 | + | 25.0154i | 0.656484 | + | 1.13706i | |||||
0.180570 | − | 0.312757i | 0.00819927 | − | 0.0142016i | |||||
− | 19.2171i | − | 0.871703i | |||||||
11.2736 | + | 6.50879i | 0.510854 | + | 0.294942i | 0.733185 | − | 0.680030i | ||
−0.222331 | + | 0.974971i | ||||||||
11.7712 | + | 6.79613i | 0.532859 | + | 0.307647i | |||||
13.3358i | 0.603065i | |||||||||
0 | 0 | |||||||||
−6.17616 | − | 10.6974i | −0.278726 | − | 0.482768i | 0.692342 | − | 0.721569i | ||
−0.971068 | + | 0.238801i | ||||||||
−42.2490 | + | 24.3925i | −1.90473 | + | 1.09970i | |||||
2.81650 | 0.126849 | |||||||||
−0.319332 | − | 0.230550i | −0.0143674 | − | 0.0103730i | |||||
−1.05626 | −0.0474754 | |||||||||
2.13218 | − | 1.23102i | 0.0957378 | − | 0.0552743i | |||||
0 | 0 | |||||||||
−19.5744 | + | 33.9038i | −0.877148 | + | 1.51926i | |||||
− | 9.15340i | − | 0.409763i | −0.978787 | − | 0.204881i | ||||
0.978787 | − | 0.204881i | ||||||||
22.5105 | + | 12.9965i | 1.00670 | + | 0.581220i | |||||
−3.39102 | − | 1.95781i | −0.151500 | − | 0.0874684i | |||||
− | 62.8149i | − | 2.80357i | |||||||
11.2519 | − | 19.4888i | 0.501696 | − | 0.868963i | −0.498302 | − | 0.867003i | ||
0.999998 | − | 0.00195935i | ||||||||
0 | 0 | |||||||||
7.09559 | − | 4.09664i | 0.315750 | − | 0.182298i | |||||
−27.0741 | −1.20359 | |||||||||
12.7308 | − | 14.3105i | 0.565396 | − | 0.635551i | |||||
−51.8885 | −2.30218 | |||||||||
−33.4811 | + | 19.3303i | −1.48402 | + | 0.856800i | −0.999835 | − | 0.0181646i | ||
−0.484187 | + | 0.874965i | ||||||||
−2.97797 | − | 5.15800i | −0.131867 | − | 0.228400i | |||||
0 | 0 | |||||||||
3.53972i | 0.156435i | |||||||||
−0.231727 | − | 0.133787i | −0.0102310 | − | 0.00590686i | |||||
13.0690 | + | 7.54536i | 0.576447 | + | 0.332812i | |||||
− | 8.45447i | − | 0.372549i | |||||||
−22.5596 | + | 39.0744i | −0.993132 | + | 1.72016i | |||||
0.270623 | + | 0.468732i | 0.0119020 | + | 0.0206148i | |||||
0 | 0 | |||||||||
28.8588 | 1.26676 | |||||||||
−7.44511 | − | 5.37520i | −0.326490 | − | 0.235718i | |||||
−40.2351 | −1.76273 | −0.881366 | − | 0.472434i | ||||||
−0.881366 | + | 0.472434i | ||||||||
2.24897 | − | 1.29844i | 0.0984348 | − | 0.0568313i | |||||
−0.366073 | − | 0.634057i | −0.0160073 | − | 0.0277254i | 0.857911 | − | 0.513799i | ||
−0.873918 | + | 0.486073i | ||||||||
4.20594 | − | 7.28491i | 0.183737 | − | 0.318243i | |||||
0 | 0 | |||||||||
−45.0581 | − | 26.0143i | −1.96463 | − | 1.13428i | |||||
−14.1018 | − | 8.14169i | −0.614285 | − | 0.354658i | |||||
− | 0.693741i | − | 0.0301912i | |||||||
−19.0660 | + | 33.0234i | −0.828959 | + | 1.43580i | |||||
−2.64610 | − | 4.58319i | −0.114939 | − | 0.199081i | |||||
1.17857 | − | 0.680446i | 0.0511455 | − | 0.0295288i | |||||
0 | 0 | |||||||||
35.9353 | + | 3.66817i | 1.55653 | + | 0.158886i | |||||
59.4251 | 2.57157 | |||||||||
7.23667 | − | 4.17809i | 0.312868 | − | 0.180635i | |||||
3.06996 | + | 5.31733i | 0.132602 | + | 0.229674i | |||||
−2.13146 | + | 3.69179i | −0.0919791 | + | 0.159312i | |||||
36.8553i | 1.58894i | |||||||||
0 | 0 | |||||||||
−13.6823 | − | 7.89946i | −0.588791 | − | 0.339939i | |||||
23.6537i | 1.01695i | 0.861076 | + | 0.508476i | ||||||
−0.861076 | + | 0.508476i | ||||||||
10.0876 | − | 17.4722i | 0.433298 | − | 0.750494i | |||||
−1.00781 | − | 1.74558i | −0.0432492 | − | 0.0749099i | |||||
9.49024 | − | 5.47919i | 0.406891 | − | 0.234918i | |||||
9.83325 | 0.421210 | |||||||||
0 | 0 | |||||||||
−12.9472 | −0.553582 | −0.276791 | − | 0.960930i | ||||||
−0.276791 | + | 0.960930i | ||||||||
5.33730 | − | 3.08149i | 0.227998 | − | 0.131635i | |||||
−1.87481 | − | 3.24727i | −0.0800151 | − | 0.138590i | |||||
7.41388 | − | 12.8412i | 0.316129 | − | 0.547552i | |||||
− | 0.0644871i | − | 0.00274724i | |||||||
−29.9876 | − | 17.3133i | −1.27636 | − | 0.736904i | |||||
0 | 0 | |||||||||
− | 45.8771i | − | 1.94913i | |||||||
4.18340 | − | 7.24585i | 0.177575 | − | 0.307569i | |||||
−25.7946 | − | 44.6775i | −1.09393 | − | 1.89475i | |||||
−5.54845 | + | 3.20340i | −0.235096 | + | 0.135732i | −0.612921 | − | 0.790145i | ||
0.377825 | + | 0.925877i | ||||||||
−15.0137 | −0.635581 | |||||||||
30.4787 | − | 13.6795i | 1.28911 | − | 0.578582i | |||||
0 | 0 | |||||||||
−3.97355 | + | 2.29413i | −0.167764 | + | 0.0968584i | |||||
−16.1498 | − | 27.9723i | −0.681239 | − | 1.17994i | |||||
−3.66042 | + | 6.34004i | −0.154268 | + | 0.267201i | −0.932792 | − | 0.360414i | ||
0.778524 | + | 0.627615i | ||||||||
1.75309i | 0.0738185i | |||||||||
2.55176 | + | 1.47326i | 0.107354 | + | 0.0619806i | |||||
2.01980 | + | 1.16613i | 0.0848986 | + | 0.0490162i | |||||
0 | 0 | |||||||||
−21.3625 | + | 37.0009i | −0.896349 | + | 1.55252i | |||||
−2.15872 | − | 3.73901i | −0.0904981 | − | 0.156747i | 0.817223 | − | 0.576322i | ||
−0.907721 | + | 0.419575i | ||||||||
−0.118098 | + | 0.0681842i | −0.00494660 | + | 0.00285592i | |||||
−34.1695 | −1.42995 | −0.714974 | − | 0.699152i | ||||||
−0.714974 | + | 0.699152i | ||||||||
−10.4869 | + | 14.5252i | −0.438478 | + | 0.607330i | |||||
−2.22956 | −0.0931413 | |||||||||
0 | 0 | |||||||||
−16.7402 | − | 28.9949i | −0.698115 | − | 1.20917i | |||||
5.31166 | − | 9.20007i | 0.221319 | − | 0.383336i | |||||
6.35656i | 0.264627i | 0.991208 | + | 0.132314i | ||||||
−0.991208 | + | 0.132314i | ||||||||
−25.3511 | − | 14.6364i | −1.05447 | − | 0.608796i | |||||
−8.87301 | − | 5.12283i | −0.368750 | − | 0.212898i | |||||
− | 3.80763i | − | 0.158103i | |||||||
0 | 0 | |||||||||
−0.723214 | − | 1.25264i | −0.0299782 | − | 0.0519237i | |||||
−3.53074 | + | 2.03847i | −0.146228 | + | 0.0844249i | |||||
20.3240 | 0.841014 | |||||||||
1.03727 | + | 2.31109i | 0.0428857 | + | 0.0955518i | |||||
−0.458892 | −0.0189566 | |||||||||
−27.2036 | + | 15.7060i | −1.12281 | + | 0.648256i | −0.942118 | − | 0.335283i | ||
−0.180695 | + | 0.983539i | ||||||||
0 | 0 | |||||||||
−0.186414 | + | 0.322878i | −0.00768104 | + | 0.0133040i | |||||
− | 3.20286i | − | 0.131860i | |||||||
19.7484 | + | 11.4018i | 0.812342 | + | 0.469006i | |||||
−1.81786 | − | 1.04954i | −0.0747136 | − | 0.0431359i | |||||
0.473013i | 0.0194243i | 0.999953 | + | 0.00971215i | ||||||
−0.999953 | + | 0.00971215i | ||||||||
−9.76804 | + | 16.9187i | −0.400787 | + | 0.694184i | |||||
0 | 0 | |||||||||
−18.2143 | + | 10.5160i | −0.746086 | + | 0.430753i | |||||
9.74670 | 0.398906 | |||||||||
26.5872 | + | 59.2378i | 1.08723 | + | 2.42242i | |||||
−9.62695 | −0.393347 | −0.196673 | − | 0.980469i | ||||||
−0.196673 | + | 0.980469i | ||||||||
16.4234 | − | 9.48206i | 0.670483 | − | 0.387103i | |||||
−20.5399 | − | 35.5762i | −0.837842 | − | 1.45118i | −0.891696 | − | 0.452635i | ||
0.0538542 | − | 0.998549i | ||||||||
0 | 0 | |||||||||
− | 1.69379i | − | 0.0689765i | |||||||
1.90080 | + | 1.09743i | 0.0773424 | + | 0.0446537i | |||||
−6.41304 | − | 3.70257i | −0.260727 | − | 0.150531i | |||||
− | 32.8155i | − | 1.33304i | |||||||
9.54289 | − | 16.5288i | 0.387334 | − | 0.670882i | −0.604756 | − | 0.796411i | ||
0.992090 | + | 0.125529i | ||||||||
−0.125453 | − | 0.217290i | −0.00508777 | − | 0.00881228i | |||||
0 | 0 | |||||||||
−8.82474 | −0.357303 | |||||||||
0.759825 | − | 1.05242i | 0.0307392 | − | 0.0425765i | |||||
5.67680 | 0.229471 | |||||||||
32.9131 | − | 19.0024i | 1.32935 | − | 0.767500i | 0.344149 | − | 0.938915i | ||
0.985199 | + | 0.171415i | ||||||||
31.3249 | + | 54.2563i | 1.26417 | + | 2.18961i | |||||
6.25334 | − | 10.8311i | 0.252159 | − | 0.436752i | |||||
0 | 0 | |||||||||
7.20117 | + | 4.15759i | 0.289908 | + | 0.167378i | 0.637900 | − | 0.770119i | ||
−0.347992 | + | 0.937497i | ||||||||
−29.3250 | − | 16.9308i | −1.17962 | − | 0.681056i | |||||
44.4728i | 1.78751i | 0.448553 | + | 0.893756i | ||||||
−0.448553 | + | 0.893756i | ||||||||
−11.0068 | + | 19.0643i | −0.442042 | + | 0.765640i | |||||
22.0558 | + | 38.2018i | 0.885069 | + | 1.53298i | |||||
−54.0579 | + | 31.2103i | −2.16752 | + | 1.25142i | |||||
0 | 0 | |||||||||
−1.51790 | + | 0.681266i | −0.0607646 | + | 0.0272725i | |||||
14.7468 | 0.589874 | |||||||||
−44.0397 | + | 25.4263i | −1.76018 | + | 1.01624i | |||||
0.0525269 | + | 0.0909792i | 0.00209772 | + | 0.00363336i | |||||
27.3921 | − | 47.4445i | 1.09306 | − | 1.89324i | |||||
13.8829i | 0.553549i | |||||||||
0 | 0 | |||||||||
−10.1779 | − | 5.87622i | −0.405177 | − | 0.233929i | 0.283539 | − | 0.958961i | ||
−0.688715 | + | 0.725032i | ||||||||
35.0453i | 1.39403i | |||||||||
5.96290 | − | 10.3280i | 0.237004 | − | 0.410503i | |||||
−8.14001 | − | 14.0989i | −0.323281 | − | 0.559939i | |||||
11.5202 | − | 6.65117i | 0.457164 | − | 0.263944i | |||||
−13.2052 | −0.523620 | |||||||||
0 | 0 | |||||||||
−4.70831 | −0.186404 | |||||||||
10.2072 | − | 5.89315i | 0.403792 | − | 0.233129i | |||||
−8.01854 | − | 13.8885i | −0.316961 | − | 0.548992i | |||||
5.24342 | − | 9.08186i | 0.207102 | − | 0.358712i | −0.743698 | − | 0.668516i | ||
0.950801 | + | 0.309804i | ||||||||
− | 33.4679i | − | 1.32087i | |||||||
−27.0912 | − | 15.6411i | −1.06837 | − | 0.616825i | −0.140635 | − | 0.990061i | ||
−0.927736 | + | 0.373237i | ||||||||
0 | 0 | |||||||||
− | 11.5669i | − | 0.455448i | |||||||
0.113137 | − | 0.195959i | 0.00445133 | − | 0.00770992i | |||||
13.4337 | + | 23.2679i | 0.528135 | + | 0.914757i | 0.999462 | + | 0.0327983i | ||
−0.471327 | + | 0.881959i | ||||||||
−15.1627 | + | 8.75422i | −0.595649 | + | 0.343898i | |||||
−2.46738 | −0.0968530 | |||||||||
−35.3770 | − | 3.61119i | −1.38760 | − | 0.141643i | |||||
0 | 0 | |||||||||
−25.9070 | + | 14.9574i | −1.01459 | + | 0.585776i | |||||
2.07081 | + | 3.58674i | 0.0810369 | + | 0.140360i | 0.903696 | − | 0.428176i | ||
−0.822659 | + | 0.568536i | ||||||||
19.6919 | − | 34.1073i | 0.770014 | − | 1.33370i | |||||
2.15650i | 0.0842615i | |||||||||
−2.71734 | − | 1.56886i | −0.106094 | − | 0.0612536i | |||||
−4.85553 | − | 2.80334i | −0.189432 | − | 0.109369i | |||||
0 | 0 | |||||||||
−10.7276 | + | 18.5807i | −0.417887 | + | 0.723801i | −0.995727 | − | 0.0923492i | ||
0.577840 | + | 0.816150i | ||||||||
3.10144 | + | 5.37185i | 0.120723 | + | 0.209099i | |||||
−36.7084 | + | 21.1936i | −1.42779 | + | 0.824335i | −0.996946 | − | 0.0780909i | ||
−0.430844 | + | 0.902426i | ||||||||
15.1753 | 0.589803 | |||||||||
8.92164 | + | 6.44122i | 0.346488 | + | 0.250156i | |||||
−34.6762 | −1.34570 | |||||||||
0 | 0 | |||||||||
6.40021 | + | 11.0855i | 0.248003 | + | 0.429554i | |||||
−5.31558 | + | 9.20685i | −0.205820 | + | 0.356491i | |||||
− | 8.78349i | − | 0.339844i | |||||||
20.4896 | + | 11.8297i | 0.792173 | + | 0.457361i | |||||
−3.45226 | − | 1.99317i | −0.133373 | − | 0.0770027i | |||||
6.79830i | 0.262445i | |||||||||
0 | 0 | |||||||||
−14.7928 | − | 25.6219i | −0.570220 | − | 0.987650i | −0.996543 | − | 0.0830790i | ||
0.426323 | − | 0.904571i | ||||||||
8.42336 | − | 4.86323i | 0.324456 | − | 0.187324i | |||||
−24.1588 | −0.929871 | |||||||||
42.0793 | + | 8.68114i | 1.61844 | + | 0.333890i | |||||
−32.1659 | −1.23624 | −0.618118 | − | 0.786085i | ||||||
−0.618118 | + | 0.786085i | ||||||||
10.2202 | − | 5.90066i | 0.392506 | − | 0.226613i | |||||
0 | 0 | |||||||||
2.63775 | − | 4.56872i | 0.101153 | − | 0.175202i | |||||
1.90919i | 0.0731604i | |||||||||
23.5738 | + | 13.6104i | 0.902689 | + | 0.521168i | |||||
7.44986 | + | 4.30118i | 0.285061 | + | 0.164580i | 0.635712 | − | 0.771926i | ||
−0.350651 | + | 0.936506i | ||||||||
− | 0.129977i | − | 0.00496980i | |||||||
−0.789983 | + | 1.36829i | −0.0301837 | + | 0.0522797i | |||||
0 | 0 | |||||||||
26.5625 | − | 15.3359i | 1.01342 | − | 0.585100i | |||||
−2.90195 | −0.110636 | |||||||||
7.92740 | + | 5.72340i | 0.302010 | + | 0.218044i | |||||
22.4813 | 0.855847 | |||||||||
17.7033 | − | 10.2210i | 0.673466 | − | 0.388826i | −0.123923 | − | 0.992292i | ||
0.797388 | + | 0.603466i | ||||||||
32.3680 | + | 56.0629i | 1.23044 | + | 2.13119i | |||||
0 | 0 | |||||||||
20.9477i | 0.795164i | |||||||||
11.4537 | + | 6.61279i | 0.434463 | + | 0.250837i | |||||
−5.21498 | − | 3.01087i | −0.197673 | − | 0.114127i | |||||
20.7522i | 0.786046i | |||||||||
10.6187 | − | 18.3921i | 0.401922 | − | 0.696150i | |||||
−9.80099 | − | 16.9758i | −0.370708 | − | 0.642084i | |||||
0 | 0 | |||||||||
−25.1373 | −0.949422 | −0.474711 | − | 0.880142i | ||||||
−0.474711 | + | 0.880142i | ||||||||
46.6104 | + | 4.75787i | 1.75920 | + | 0.179574i | |||||
0.317866 | 0.0119885 | |||||||||
−16.6803 | + | 9.63036i | −0.628661 | + | 0.362958i | |||||
−0.224715 | − | 0.389217i | −0.00846324 | − | 0.0146588i | |||||
−2.48118 | + | 4.29753i | −0.0933804 | + | 0.161740i | |||||
0 | 0 | |||||||||
−6.92112 | − | 3.99591i | −0.260112 | − | 0.150176i | |||||
25.5416 | + | 14.7464i | 0.959234 | + | 0.553814i | 0.895937 | − | 0.444181i | ||
0.0632970 | + | 0.997995i | ||||||||
− | 27.7390i | − | 1.04103i | |||||||
4.83389 | − | 8.37254i | 0.181285 | − | 0.313995i | |||||
26.3180 | + | 45.5841i | 0.986309 | + | 1.70834i | |||||
53.2287 | − | 30.7316i | 1.99343 | − | 1.15091i | |||||
0 | 0 | |||||||||
0.466399 | − | 4.56908i | 0.0174423 | − | 0.170874i | |||||
−9.56254 | −0.357369 | |||||||||
−17.0536 | + | 9.84591i | −0.636879 | + | 0.367702i | |||||
−9.85518 | − | 17.0697i | −0.367792 | − | 0.637034i | |||||
4.16576 | − | 7.21531i | 0.155357 | − | 0.269086i | −0.777832 | − | 0.628472i | ||
0.933189 | + | 0.359386i | ||||||||
− | 0.220044i | − | 0.00820055i | |||||||
0 | 0 | |||||||||
37.8946 | + | 21.8784i | 1.41029 | + | 0.814231i | |||||
1.22901i | 0.0457073i | |||||||||
2.26071 | − | 3.91567i | 0.0840188 | − | 0.145525i | |||||
−2.91120 | − | 5.04235i | −0.108119 | − | 0.187268i | |||||
−25.6853 | + | 14.8294i | −0.953271 | + | 0.550371i | |||||
−9.66141 | −0.358322 | −0.179161 | − | 0.983820i | ||||||
−0.179161 | + | 0.983820i | ||||||||
0 | 0 | |||||||||
29.7672 | 1.10249 | |||||||||
−11.4275 | + | 6.59766i | −0.422950 | + | 0.244190i | |||||
9.59645 | + | 16.6215i | 0.354938 | + | 0.614770i | |||||
−11.0098 | + | 19.0696i | −0.406935 | + | 0.704832i | |||||
− | 14.0179i | − | 0.517762i | −0.965909 | − | 0.258881i | ||||
0.965909 | − | 0.258881i | ||||||||
−4.58425 | − | 2.64672i | −0.169208 | − | 0.0976921i | |||||
0 | 0 | |||||||||
41.3635i | 1.52468i | |||||||||
−1.53547 | + | 2.65951i | −0.0565598 | + | 0.0979644i | |||||
9.56704 | + | 16.5706i | 0.352168 | + | 0.609972i | |||||
−33.6145 | + | 19.4073i | −1.23653 | + | 0.713910i | −0.968383 | − | 0.249468i | ||
−0.268146 | + | 0.963378i | ||||||||
18.7683 | 0.689938 | |||||||||
0.147479 | − | 0.204271i | 0.00541779 | − | 0.00750410i | |||||
0 | 0 | |||||||||
29.7863 | − | 17.1971i | 1.09275 | − | 0.630901i | 0.158445 | − | 0.987368i | ||
0.934308 | + | 0.356467i | ||||||||
17.4071 | + | 30.1500i | 0.638175 | + | 1.10535i | |||||
2.69592 | − | 4.66948i | 0.0987710 | − | 0.171076i | |||||
− | 27.1057i | − | 0.992410i | |||||||
8.28434 | + | 4.78297i | 0.303108 | + | 0.175000i | |||||
−8.91346 | − | 5.14619i | −0.325908 | − | 0.188163i | |||||
0 | 0 | |||||||||
−13.3445 | + | 23.1134i | −0.487272 | + | 0.843980i | |||||
24.0735 | + | 41.6965i | 0.878454 | + | 1.52153i | 0.853037 | + | 0.521850i | ||
0.0254165 | + | 0.999677i | ||||||||
−0.0976479 | + | 0.0563770i | −0.00356085 | + | 0.00205586i | |||||
40.1816 | 1.46430 | |||||||||
4.62364 | + | 10.3017i | 0.168383 | + | 0.375167i | |||||
−0.562681 | −0.0204781 | |||||||||
0 | 0 | |||||||||
3.45319 | + | 5.98110i | 0.125508 | + | 0.217387i | 0.921931 | − | 0.387353i | ||
−0.796423 | + | 0.604740i | ||||||||
9.20262 | − | 15.9394i | 0.334254 | − | 0.578945i | |||||
− | 17.3188i | − | 0.628634i | |||||||
−0.104606 | − | 0.0603945i | −0.00379447 | − | 0.00219074i | |||||
−27.6895 | − | 15.9865i | −1.00374 | − | 0.579511i | −0.0943888 | − | 0.995535i | ||
−0.909353 | + | 0.416025i | ||||||||
− | 53.2781i | − | 1.93006i | |||||||
0 | 0 | |||||||||
−2.50067 | − | 4.33129i | −0.0904712 | − | 0.156701i | |||||
−1.26035 | + | 0.727663i | −0.0455680 | + | 0.0263087i | |||||
65.0548 | 2.35053 | |||||||||
2.42301 | + | 5.39860i | 0.0874898 | + | 0.194932i | |||||
−26.4795 | −0.955495 | |||||||||
−12.4665 | + | 7.19752i | −0.449553 | + | 0.259549i | −0.707641 | − | 0.706572i | ||
0.258089 | + | 0.966121i | ||||||||
0 | 0 | |||||||||
−4.82664 | + | 8.35999i | −0.173827 | + | 0.301078i | |||||
− | 22.9830i | − | 0.827177i | |||||||
−32.2829 | − | 18.6385i | −1.16114 | − | 0.670382i | −0.209560 | − | 0.977796i | ||
−0.951576 | + | 0.307414i | ||||||||
15.3255 | + | 8.84818i | 0.550864 | + | 0.318041i | |||||
33.6618i | 1.20917i | |||||||||
0.640590 | − | 1.10953i | 0.0229958 | − | 0.0398300i | |||||
0 | 0 | |||||||||
15.3209 | − | 8.84553i | 0.549281 | − | 0.317128i | |||||
0.475146 | 0.0170239 | |||||||||
8.70789 | − | 12.0612i | 0.311792 | − | 0.431859i | |||||
−21.3693 | −0.764652 | |||||||||
−32.3053 | + | 18.6515i | −1.15524 | + | 0.666975i | |||||
3.83560 | + | 6.64346i | 0.137073 | + | 0.237418i | |||||
0 | 0 | |||||||||
14.0447i | 0.501276i | |||||||||
7.47999 | + | 4.31857i | 0.266802 | + | 0.154038i | |||||
−12.4263 | − | 7.17430i | −0.442948 | − | 0.255736i | 0.261899 | − | 0.965095i | ||
−0.704847 | + | 0.709359i | ||||||||
51.1527i | 1.82224i | |||||||||
16.6409 | − | 28.8229i | 0.592432 | − | 1.02612i | |||||
−11.3765 | − | 19.7047i | −0.404759 | − | 0.701064i | |||||
0 | 0 | |||||||||
−3.74719 | −0.133150 | |||||||||
14.8746 | − | 6.67605i | 0.528213 | − | 0.237073i | |||||
−17.1658 | −0.609192 | |||||||||
2.93179 | − | 1.69267i | 0.103980 | − | 0.0600328i | |||||
10.9319 | + | 18.9346i | 0.387470 | + | 0.671118i | |||||
−5.54219 | + | 9.59935i | −0.196314 | + | 0.340026i | −0.947331 | − | 0.320257i | ||
0.751016 | + | 0.660284i | ||||||||
0 | 0 | |||||||||
0.645824 | + | 0.372866i | 0.0228476 | + | 0.0131911i | |||||
−19.6187 | − | 11.3268i | −0.693625 | − | 0.400464i | |||||
− | 14.5204i | − | 0.513054i | |||||||
−20.9577 | + | 36.2998i | −0.740042 | + | 1.28179i | |||||
5.08262 | + | 8.80336i | 0.179362 | + | 0.310664i | |||||
−8.61415 | + | 4.97338i | −0.303798 | + | 0.175398i | |||||
0 | 0 | |||||||||
6.62941 | − | 64.9450i | 0.233511 | − | 2.28759i | |||||
−23.5757 | −0.829904 | |||||||||
25.1723 | − | 14.5332i | 0.885558 | − | 0.511277i | |||||
21.2768 | + | 36.8525i | 0.748052 | + | 1.29566i | 0.948755 | + | 0.316013i | ||
−0.200703 | + | 0.979652i | ||||||||
5.68365 | − | 9.84438i | 0.199703 | − | 0.345896i | |||||
− | 16.3622i | − | 0.574554i | −0.957848 | − | 0.287277i | ||||
0.957848 | − | 0.287277i | ||||||||
0 | 0 | |||||||||
11.1766 | + | 6.45284i | 0.391982 | + | 0.226311i | |||||
− | 23.2079i | − | 0.813437i | |||||||
3.83453 | − | 6.64160i | 0.134318 | − | 0.232645i | |||||
−0.477922 | − | 0.827785i | −0.0167306 | − | 0.0289783i | |||||
0.380570 | − | 0.219722i | 0.0133145 | − | 0.00768710i | |||||
67.4455 | 2.35818 | |||||||||
0 | 0 | |||||||||
28.0549 | 0.979721 | |||||||||
−2.68944 | + | 1.55275i | −0.0938621 | + | 0.0541913i | −0.546196 | − | 0.837657i | ||
0.452334 | + | 0.891848i | ||||||||
3.16401 | + | 5.48023i | 0.110358 | + | 0.191145i | |||||
24.5082 | − | 42.4494i | 0.854301 | − | 1.47969i | −0.0229903 | − | 0.999736i | ||
0.877292 | − | 0.479958i | ||||||||
− | 29.9930i | − | 1.04486i | |||||||
8.21432 | + | 4.74254i | 0.285986 | + | 0.165114i | |||||
0 | 0 | |||||||||
− | 13.0887i | − | 0.455140i | −0.973762 | − | 0.227570i | ||||
0.973762 | − | 0.227570i | ||||||||
−10.7138 | + | 18.5569i | −0.372331 | + | 0.644896i | |||||
−24.6282 | − | 42.6574i | −0.855374 | − | 1.48155i | −0.876297 | − | 0.481771i | ||
0.0209227 | − | 0.999781i | ||||||||
19.4972 | − | 11.2567i | 0.676757 | − | 0.390726i | |||||
29.3468 | 1.01803 | |||||||||
37.4514 | + | 27.0391i | 1.29839 | + | 0.937411i | |||||
0 | 0 | |||||||||
45.8739 | − | 26.4853i | 1.58848 | − | 0.917111i | |||||
1.12588 | + | 1.95009i | 0.0389629 | + | 0.0674856i | |||||
−0.117828 | + | 0.204084i | −0.00407517 | + | 0.00705840i | |||||
− | 44.3505i | − | 1.53298i | |||||||
41.3684 | + | 23.8841i | 1.42905 | + | 0.825062i | |||||
−14.9508 | − | 8.63182i | −0.516157 | − | 0.298004i | 0.219204 | − | 0.975679i | ||
−0.735361 | + | 0.677676i | ||||||||
0 | 0 | |||||||||
13.5756 | − | 23.5136i | 0.468124 | − | 0.810815i | |||||
−28.6407 | − | 49.6071i | −0.987024 | − | 1.70957i | |||||
17.8934 | − | 10.3308i | 0.616282 | − | 0.355810i | |||||
26.7519 | 0.920839 | |||||||||
−10.4551 | + | 3.46644i | −0.359667 | + | 0.119249i | |||||
0.687585 | 0.0236397 | |||||||||
0 | 0 | |||||||||
−0.424662 | − | 0.735535i | −0.0145829 | − | 0.0252584i | |||||
−0.745955 | + | 1.29203i | −0.0256011 | + | 0.0443424i | |||||
− | 20.4298i | − | 0.700738i | |||||||
−45.3818 | − | 26.2012i | −1.55567 | − | 0.898166i | |||||
−59.9419 | − | 34.6075i | −2.05358 | − | 1.18563i | |||||
52.4163i | 1.79470i | 0.441319 | + | 0.897350i | ||||||
−0.441319 | + | 0.897350i | ||||||||
0 | 0 | |||||||||
0.0166607 | + | 0.0288572i | 0.000569784 | + | 0.000986895i | |||||
25.6728 | − | 14.8222i | 0.877477 | − | 0.506611i | |||||
10.1271 | 0.345935 | 0.172967 | − | 0.984928i | ||||||
0.172967 | + | 0.984928i | ||||||||
−14.9142 | − | 10.7677i | −0.509162 | − | 0.367603i | |||||
0.510237 | 0.0174090 | 0.00870452 | − | 0.999962i | ||||||
0.00870452 | + | 0.999962i | ||||||||
22.4707 | − | 12.9735i | 0.766244 | − | 0.442391i | |||||
0 | 0 | |||||||||
−24.3787 | + | 42.2251i | −0.830341 | + | 1.43819i | |||||
20.4991i | 0.697797i | 0.937161 | + | 0.348898i | ||||||
−0.937161 | + | 0.348898i | ||||||||
25.8482 | + | 14.9235i | 0.879375 | + | 0.507707i | |||||
−14.3725 | − | 8.29797i | −0.488680 | − | 0.282139i | |||||
53.9646i | 1.83379i | |||||||||
9.36269 | − | 16.2167i | 0.317974 | − | 0.550747i | |||||
0 | 0 | |||||||||
−15.1799 | + | 8.76412i | −0.514943 | + | 0.297302i | |||||
3.90960 | 0.132548 | |||||||||
7.32685 | + | 0.747905i | 0.248261 | + | 0.0253418i | |||||
34.8844 | 1.18133 | |||||||||
−0.306082 | + | 0.176716i | −0.0103593 | + | 0.00598094i | |||||
0.427047 | + | 0.739668i | 0.0144451 | + | 0.0250196i | |||||
0 | 0 | |||||||||
32.9252i | 1.11244i | |||||||||
9.77794 | + | 5.64530i | 0.330178 | + | 0.190628i | 0.655920 | − | 0.754830i | ||
−0.325742 | + | 0.945459i | ||||||||
−24.0128 | − | 13.8638i | −0.810394 | − | 0.467881i | |||||
− | 0.293545i | − | 0.00990103i | |||||||
−0.199476 | + | 0.345503i | −0.00672435 | + | 0.0116469i | |||||
−11.2634 | − | 19.5088i | −0.379474 | − | 0.657268i | 0.611512 | − | 0.791235i | ||
−0.990986 | + | 0.133967i | ||||||||
0 | 0 | |||||||||
−28.0268 | −0.943178 | −0.471589 | − | 0.881819i | ||||||
−0.471589 | + | 0.881819i | ||||||||
−2.50663 | + | 24.5562i | −0.0843071 | + | 0.825915i | |||||
2.04881 | 0.0688701 | |||||||||
−31.3827 | + | 18.1188i | −1.05432 | + | 0.608713i | |||||
−10.3118 | − | 17.8605i | −0.346235 | − | 0.599696i | 0.639342 | − | 0.768922i | ||
−0.985577 | + | 0.169226i | ||||||||
14.8410 | − | 25.7053i | 0.498031 | − | 0.862615i | |||||
0 | 0 | |||||||||
−29.5954 | − | 17.0869i | −0.992040 | − | 0.572754i | |||||
−7.58379 | − | 4.37850i | −0.254066 | − | 0.146685i | |||||
53.0725i | 1.77700i | |||||||||
0.00853722 | − | 0.0147869i | 0.000285687 | − | 0.000494824i | |||||
−10.7976 | − | 18.7020i | −0.361127 | − | 0.625490i | |||||
2.12305 | − | 1.22574i | 0.0709658 | − | 0.0409721i | |||||
0 | 0 | |||||||||
−37.8935 | + | 17.0074i | −1.26523 | + | 0.567861i | |||||
−59.8876 | −1.99848 | |||||||||
9.25671 | − | 5.34437i | 0.308729 | − | 0.178245i | |||||
−5.86767 | − | 10.1631i | −0.195589 | − | 0.338770i | |||||
−2.80863 | + | 4.86468i | −0.0935689 | + | 0.162066i | |||||
− | 34.6912i | − | 1.15509i | |||||||
0 | 0 | |||||||||
9.05263 | + | 5.22654i | 0.301086 | + | 0.173832i | |||||
1.15913i | 0.0385308i | |||||||||
−1.12681 | + | 1.95170i | −0.0374359 | + | 0.0648409i | |||||
20.7315 | + | 35.9081i | 0.688379 | + | 1.19231i | 0.972362 | + | 0.233479i | ||
−0.283982 | + | 0.958829i | ||||||||
−3.70892 | + | 2.14134i | −0.123085 | + | 0.0710630i | |||||
−8.01841 | −0.265954 | |||||||||
0 | 0 | |||||||||
40.8187 | 1.35239 | 0.676193 | − | 0.736725i | ||||||
0.676193 | + | 0.736725i | ||||||||
−0.0189531 | + | 0.0109426i | −0.000627600 | + | 0.000362345i | |||||
−8.67180 | − | 15.0200i | −0.286995 | − | 0.497090i | |||||
35.4655 | − | 61.4280i | 1.17309 | − | 2.03186i | |||||
− | 5.64504i | − | 0.186619i | |||||||
59.5849 | + | 34.4014i | 1.96874 | + | 1.13665i | |||||
0 | 0 | |||||||||
26.9170i | 0.888393i | |||||||||
24.3839 | − | 42.2341i | 0.804350 | − | 1.39318i | −0.112379 | − | 0.993665i | ||
0.916729 | − | 0.399510i | ||||||||
9.95645 | + | 17.2451i | 0.328254 | + | 0.568553i | |||||
−34.7068 | + | 20.0380i | −1.14363 | + | 0.660274i | |||||
−78.5317 | −2.58630 | |||||||||
20.9850 | + | 46.7557i | 0.690730 | + | 1.53898i | |||||
0 | 0 | |||||||||
24.8544 | − | 14.3497i | 0.817209 | − | 0.471816i | |||||
1.94837 | + | 3.37468i | 0.0640275 | + | 0.110899i | |||||
−4.13701 | + | 7.16552i | −0.135877 | + | 0.235346i | |||||
7.19330i | 0.236132i | |||||||||
−25.4464 | − | 14.6915i | −0.834868 | − | 0.482012i | 0.0206482 | − | 0.999787i | ||
−0.855517 | + | 0.517775i | ||||||||
−19.5748 | − | 11.3015i | −0.641883 | − | 0.370591i | |||||
0 | 0 | |||||||||
21.9855 | − | 38.0801i | 0.720160 | − | 1.24735i | |||||
−19.9647 | − | 34.5799i | −0.653615 | − | 1.13210i | |||||
−56.5541 | + | 32.6515i | −1.85051 | + | 1.06839i | |||||
2.63859 | 0.0862912 | |||||||||
3.67980 | + | 8.19881i | 0.120278 | + | 0.267986i | |||||
21.0196 | 0.686681 | 0.343340 | − | 0.939211i | ||||||
0.343340 | + | 0.939211i | ||||||||
0 | 0 | |||||||||
−16.2648 | − | 28.1714i | −0.530781 | − | 0.919340i | |||||
0.504079 | − | 0.873090i | 0.0164412 | − | 0.0284770i | |||||
24.1033i | 0.785744i | 0.919593 | + | 0.392872i | ||||||
−0.919593 | + | 0.392872i | ||||||||
48.7150 | + | 28.1256i | 1.58722 | + | 0.916383i | |||||
−67.8368 | − | 39.1656i | −2.20907 | − | 1.27541i | |||||
− | 0.514013i | − | 0.0167297i | |||||||
0 | 0 | |||||||||
−16.0423 | − | 27.7860i | −0.521579 | − | 0.903402i | |||||
2.89292 | − | 1.67023i | 0.0940072 | − | 0.0542751i | −0.452259 | − | 0.891886i | ||
0.546267 | + | 0.837611i | ||||||||
−56.7739 | −1.84393 | |||||||||
14.2704 | − | 19.7658i | 0.463238 | − | 0.641624i | |||||
−0.467765 | −0.0151763 | |||||||||
9.01883 | − | 5.20703i | 0.292456 | − | 0.168849i | |||||
0 | 0 | |||||||||
−2.48562 | + | 4.30522i | −0.0805171 | + | 0.139460i | −0.903472 | − | 0.428647i | ||
0.822955 | + | 0.568106i | ||||||||
5.17925i | 0.167685i | |||||||||
1.11039 | + | 0.641082i | 0.0359313 | + | 0.0207449i | |||||
−38.2546 | − | 22.0863i | −1.23724 | − | 0.714322i | |||||
− | 3.01183i | − | 0.0973585i | |||||||
−7.23509 | + | 12.5315i | −0.233755 | + | 0.404876i | |||||
0 | 0 | |||||||||
13.8506 | − | 7.99667i | 0.447028 | − | 0.258091i | |||||
−30.7961 | −0.993423 | |||||||||
−50.7787 | + | 22.7906i | −1.63717 | + | 0.734798i | |||||
−8.17783 | −0.263527 | |||||||||
−2.38755 | + | 1.37845i | −0.0768978 | + | 0.0443970i | |||||
2.94601 | + | 5.10264i | 0.0948354 | + | 0.164260i | |||||
0 | 0 | |||||||||
47.4943i | 1.52731i | 0.645623 | + | 0.763657i | ||||||
−0.645623 | + | 0.763657i | ||||||||
−22.7509 | − | 13.1352i | −0.731241 | − | 0.422182i | |||||
0.125352 | + | 0.0723720i | 0.00402689 | + | 0.00232492i | |||||
0.831803i | 0.0267076i | |||||||||
17.2357 | − | 29.8532i | 0.553121 | − | 0.958033i | −0.444926 | − | 0.895567i | ||
0.998047 | − | 0.0624662i | ||||||||
13.7876 | + | 23.8808i | 0.442238 | + | 0.765978i | |||||
0 | 0 | |||||||||
−29.9830 | −0.960717 | |||||||||
2.31002 | − | 22.6301i | 0.0739798 | − | 0.724743i | |||||
−1.41624 | −0.0453329 | |||||||||
−11.5598 | + | 6.67406i | −0.369831 | + | 0.213522i | −0.673385 | − | 0.739292i | ||
0.303553 | + | 0.952814i | ||||||||
−15.3579 | − | 26.6007i | −0.491093 | − | 0.850597i | |||||
−13.1632 | + | 22.7993i | −0.420698 | + | 0.728670i | |||||
0 | 0 | |||||||||
−8.33408 | − | 4.81169i | −0.266087 | − | 0.153625i | |||||
24.6390 | + | 14.2253i | 0.786263 | + | 0.453949i | |||||
12.5344i | 0.399785i | 0.979818 | + | 0.199893i | ||||||
−0.979818 | + | 0.199893i | ||||||||
22.1843 | − | 38.4244i | 0.707210 | − | 1.22492i | |||||
−6.55685 | − | 11.3568i | −0.208919 | − | 0.361858i | |||||
−5.61804 | + | 3.24358i | −0.178915 | + | 0.103297i | |||||
0 | 0 | |||||||||
0.562243 | + | 0.0573923i | 0.0178873 | + | 0.00182589i | |||||
−72.4455 | −2.30363 | |||||||||
2.10691 | − | 1.21643i | 0.0669620 | − | 0.0386605i | |||||
5.20596 | + | 9.01698i | 0.165373 | + | 0.286434i | 0.936788 | − | 0.349899i | ||
−0.771415 | + | 0.636332i | ||||||||
20.7938 | − | 36.0158i | 0.660202 | − | 1.14350i | |||||
9.70736i | 0.308054i | |||||||||
0 | 0 | |||||||||
−4.85414 | − | 2.80254i | −0.153887 | − | 0.0888464i | |||||
− | 56.1759i | − | 1.78000i | |||||||
2.87635 | − | 4.98198i | 0.0910949 | − | 0.157781i | −0.816877 | − | 0.576812i | ||
0.907972 | + | 0.419031i | ||||||||
10.5414 | + | 18.2582i | 0.333681 | + | 0.577953i | |||||
−32.7465 | + | 18.9062i | −1.03605 | + | 0.598167i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 637.2.q.i.491.1 | 12 | ||
7.2 | even | 3 | 637.2.u.g.361.6 | 12 | |||
7.3 | odd | 6 | 91.2.k.b.23.1 | yes | 12 | ||
7.4 | even | 3 | 637.2.k.i.569.1 | 12 | |||
7.5 | odd | 6 | 91.2.u.b.88.6 | yes | 12 | ||
7.6 | odd | 2 | 637.2.q.g.491.1 | 12 | |||
13.2 | odd | 12 | 8281.2.a.co.1.2 | 12 | |||
13.4 | even | 6 | inner | 637.2.q.i.589.1 | 12 | ||
13.11 | odd | 12 | 8281.2.a.co.1.11 | 12 | |||
21.5 | even | 6 | 819.2.do.e.361.1 | 12 | |||
21.17 | even | 6 | 819.2.bm.f.478.6 | 12 | |||
91.4 | even | 6 | 637.2.u.g.30.6 | 12 | |||
91.17 | odd | 6 | 91.2.u.b.30.6 | yes | 12 | ||
91.24 | even | 12 | 1183.2.e.j.170.2 | 24 | |||
91.30 | even | 6 | 637.2.k.i.459.6 | 12 | |||
91.41 | even | 12 | 8281.2.a.cp.1.2 | 12 | |||
91.54 | even | 12 | 1183.2.e.j.508.11 | 24 | |||
91.69 | odd | 6 | 637.2.q.g.589.1 | 12 | |||
91.76 | even | 12 | 8281.2.a.cp.1.11 | 12 | |||
91.80 | even | 12 | 1183.2.e.j.170.11 | 24 | |||
91.82 | odd | 6 | 91.2.k.b.4.6 | ✓ | 12 | ||
91.89 | even | 12 | 1183.2.e.j.508.2 | 24 | |||
273.17 | even | 6 | 819.2.do.e.667.1 | 12 | |||
273.173 | even | 6 | 819.2.bm.f.550.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.k.b.4.6 | ✓ | 12 | 91.82 | odd | 6 | ||
91.2.k.b.23.1 | yes | 12 | 7.3 | odd | 6 | ||
91.2.u.b.30.6 | yes | 12 | 91.17 | odd | 6 | ||
91.2.u.b.88.6 | yes | 12 | 7.5 | odd | 6 | ||
637.2.k.i.459.6 | 12 | 91.30 | even | 6 | |||
637.2.k.i.569.1 | 12 | 7.4 | even | 3 | |||
637.2.q.g.491.1 | 12 | 7.6 | odd | 2 | |||
637.2.q.g.589.1 | 12 | 91.69 | odd | 6 | |||
637.2.q.i.491.1 | 12 | 1.1 | even | 1 | trivial | ||
637.2.q.i.589.1 | 12 | 13.4 | even | 6 | inner | ||
637.2.u.g.30.6 | 12 | 91.4 | even | 6 | |||
637.2.u.g.361.6 | 12 | 7.2 | even | 3 | |||
819.2.bm.f.478.6 | 12 | 21.17 | even | 6 | |||
819.2.bm.f.550.1 | 12 | 273.173 | even | 6 | |||
819.2.do.e.361.1 | 12 | 21.5 | even | 6 | |||
819.2.do.e.667.1 | 12 | 273.17 | even | 6 | |||
1183.2.e.j.170.2 | 24 | 91.24 | even | 12 | |||
1183.2.e.j.170.11 | 24 | 91.80 | even | 12 | |||
1183.2.e.j.508.2 | 24 | 91.89 | even | 12 | |||
1183.2.e.j.508.11 | 24 | 91.54 | even | 12 | |||
8281.2.a.co.1.2 | 12 | 13.2 | odd | 12 | |||
8281.2.a.co.1.11 | 12 | 13.11 | odd | 12 | |||
8281.2.a.cp.1.2 | 12 | 91.41 | even | 12 | |||
8281.2.a.cp.1.11 | 12 | 91.76 | even | 12 |