Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [220,2,Mod(23,220)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(220, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("220.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 220.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 |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 23.5 | ||
Character | 220.23 | ||
Dual form | 220.2.l.c.67.5 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.892874 | + | 1.09671i | −0.631357 | + | 0.775492i | |||||
1.63523 | − | 1.63523i | 0.944099 | − | 0.944099i | −0.0544190 | − | 0.998518i | ||
0.998518 | + | 0.0544190i | ||||||||
−0.405551 | − | 1.95845i | −0.202776 | − | 0.979225i | |||||
2.22762 | + | 0.194242i | 0.996220 | + | 0.0868678i | |||||
0.333320 | + | 3.25343i | 0.136077 | + | 1.32821i | |||||
−2.27323 | − | 2.27323i | −0.859200 | − | 0.859200i | 0.132044 | − | 0.991244i | ||
−0.991244 | + | 0.132044i | ||||||||
2.50996 | + | 1.30388i | 0.887405 | + | 0.460990i | |||||
− | 2.34794i | − | 0.782647i | |||||||
−2.20201 | + | 2.26962i | −0.696336 | + | 0.717716i | |||||
− | 1.00000i | − | 0.301511i | |||||||
−3.86568 | − | 2.53934i | −1.11593 | − | 0.733045i | |||||
−0.723993 | − | 0.723993i | −0.200800 | − | 0.200800i | 0.599543 | − | 0.800343i | ||
−0.800343 | + | 0.599543i | ||||||||
4.52278 | − | 0.463369i | 1.20877 | − | 0.123840i | |||||
3.96029 | − | 3.32503i | 1.02254 | − | 0.858519i | |||||
−3.67106 | + | 1.58850i | −0.917764 | + | 0.397126i | |||||
−0.922419 | + | 0.922419i | −0.223720 | + | 0.223720i | −0.810063 | − | 0.586343i | ||
0.586343 | + | 0.810063i | ||||||||
2.57501 | + | 2.09641i | 0.606936 | + | 0.494130i | |||||
1.41633 | 0.324927 | 0.162464 | − | 0.986715i | ||||||
0.162464 | + | 0.986715i | ||||||||
−0.522999 | − | 4.44145i | −0.116946 | − | 0.993138i | |||||
−7.43450 | −1.62234 | |||||||||
1.09671 | + | 0.892874i | 0.233820 | + | 0.190361i | |||||
3.57116 | − | 3.57116i | 0.744638 | − | 0.744638i | −0.228829 | − | 0.973467i | ||
0.973467 | + | 0.228829i | ||||||||
6.23649 | − | 1.97222i | 1.27302 | − | 0.402578i | |||||
4.92454 | + | 0.865394i | 0.984908 | + | 0.173079i | |||||
1.44045 | − | 0.147577i | 0.282495 | − | 0.0289422i | |||||
1.06627 | + | 1.06627i | 0.205203 | + | 0.205203i | |||||
−3.53010 | + | 5.37392i | −0.667126 | + | 1.01558i | |||||
9.64395i | 1.79084i | 0.445225 | + | 0.895419i | ||||||
−0.445225 | + | 0.895419i | ||||||||
0.110556 | + | 7.31213i | 0.0201847 | + | 1.33501i | |||||
7.64876i | 1.37376i | 0.726772 | + | 0.686879i | ||||||
−0.726772 | + | 0.686879i | ||||||||
1.53566 | − | 5.44442i | 0.271469 | − | 0.962447i | |||||
−1.63523 | − | 1.63523i | −0.284657 | − | 0.284657i | |||||
−0.188023 | − | 1.83523i | −0.0322457 | − | 0.314740i | |||||
−4.62232 | − | 5.50544i | −0.781315 | − | 0.930589i | |||||
−4.59832 | + | 0.952210i | −0.766387 | + | 0.158702i | |||||
−1.95305 | + | 1.95305i | −0.321080 | + | 0.321080i | −0.849181 | − | 0.528102i | ||
0.528102 | + | 0.849181i | ||||||||
−1.26460 | + | 1.55330i | −0.205145 | + | 0.251979i | |||||
−2.36779 | −0.379149 | |||||||||
5.33796 | + | 3.39208i | 0.844006 | + | 0.536335i | |||||
8.11796 | 1.26781 | 0.633906 | − | 0.773410i | ||||||
0.633906 | + | 0.773410i | ||||||||
6.63807 | − | 8.15350i | 1.02428 | − | 1.25811i | |||||
−3.57789 | + | 3.57789i | −0.545623 | + | 0.545623i | −0.925172 | − | 0.379549i | ||
0.379549 | + | 0.925172i | ||||||||
−1.95845 | + | 0.405551i | −0.295248 | + | 0.0611392i | |||||
0.456069 | − | 5.23031i | 0.0679868 | − | 0.779688i | |||||
0.727934 | + | 7.10512i | 0.107328 | + | 1.04759i | |||||
−8.61919 | − | 8.61919i | −1.25724 | − | 1.25724i | −0.952406 | − | 0.304833i | ||
−0.304833 | − | 0.952406i | ||||||||
−3.40545 | + | 8.60058i | −0.491534 | + | 1.24139i | |||||
3.33515i | 0.476450i | |||||||||
−5.34608 | + | 4.62811i | −0.756050 | + | 0.654514i | |||||
3.01673i | 0.422427i | |||||||||
−1.12429 | + | 1.71152i | −0.155911 | + | 0.237345i | |||||
−7.92764 | − | 7.92764i | −1.08894 | − | 1.08894i | −0.995637 | − | 0.0933073i | ||
−0.0933073 | − | 0.995637i | ||||||||
−2.12143 | + | 0.217345i | −0.288690 | + | 0.0295769i | |||||
0.194242 | − | 2.22762i | 0.0261916 | − | 0.300372i | |||||
−2.74171 | − | 8.66973i | −0.366376 | − | 1.15854i | |||||
2.31601 | − | 2.31601i | 0.306764 | − | 0.306764i | |||||
−10.5766 | − | 8.61084i | −1.38878 | − | 1.13066i | |||||
−2.51199 | −0.327034 | −0.163517 | − | 0.986541i | ||||||
−0.163517 | + | 0.986541i | ||||||||
−8.11800 | − | 6.40756i | −1.04803 | − | 0.827212i | |||||
−3.54775 | −0.454243 | −0.227122 | − | 0.973866i | ||||||
−0.227122 | + | 0.973866i | ||||||||
−8.38848 | − | 6.82938i | −1.06534 | − | 0.867332i | |||||
−5.33741 | + | 5.33741i | −0.672450 | + | 0.672450i | |||||
4.59981 | + | 6.54536i | 0.574976 | + | 0.818170i | |||||
−1.47215 | − | 1.75341i | −0.182598 | − | 0.217484i | |||||
3.25343 | − | 0.333320i | 0.400469 | − | 0.0410289i | |||||
7.01754 | + | 7.01754i | 0.857329 | + | 0.857329i | 0.991023 | − | 0.133693i | ||
−0.133693 | + | 0.991023i | ||||||||
2.18060 | + | 1.43242i | 0.264437 | + | 0.173707i | |||||
− | 11.6793i | − | 1.40602i | |||||||
10.1650 | − | 0.153691i | 1.21495 | − | 0.0183696i | |||||
14.9871i | 1.77864i | 0.457284 | + | 0.889321i | ||||||
−0.457284 | + | 0.889321i | ||||||||
3.06143 | − | 5.89324i | 0.360792 | − | 0.694525i | |||||
1.98983 | + | 1.98983i | 0.232891 | + | 0.232891i | 0.813899 | − | 0.581007i | ||
−0.581007 | + | 0.813899i | ||||||||
−0.398104 | − | 3.88576i | −0.0462787 | − | 0.451711i | |||||
9.46786 | − | 6.63763i | 1.09325 | − | 0.766447i | |||||
−0.574393 | − | 2.77380i | −0.0658873 | − | 0.318177i | |||||
−2.27323 | + | 2.27323i | −0.259059 | + | 0.259059i | |||||
2.11414 | − | 2.59678i | 0.239379 | − | 0.294027i | |||||
−14.1444 | −1.59136 | −0.795682 | − | 0.605714i | ||||||
−0.795682 | + | 0.605714i | ||||||||
−8.48626 | + | 2.82550i | −0.948792 | + | 0.315901i | |||||
10.5310 | 1.17011 | |||||||||
−7.24831 | + | 8.90305i | −0.800442 | + | 0.983178i | |||||
3.37507 | − | 3.37507i | 0.370462 | − | 0.370462i | −0.497183 | − | 0.867645i | ||
0.867645 | + | 0.497183i | ||||||||
3.01507 | + | 14.5601i | 0.328971 | + | 1.58864i | |||||
−2.23397 | + | 1.87562i | −0.242308 | + | 0.203440i | |||||
−0.729306 | − | 7.11851i | −0.0786431 | − | 0.767609i | |||||
15.7701 | + | 15.7701i | 1.69073 | + | 1.69073i | |||||
1.30388 | − | 2.50996i | 0.138994 | − | 0.267563i | |||||
4.70719i | 0.498961i | 0.968380 | + | 0.249481i | ||||||
−0.968380 | + | 0.249481i | ||||||||
5.32892 | + | 5.17018i | 0.561718 | + | 0.544985i | |||||
3.29161i | 0.345054i | |||||||||
−8.44222 | − | 5.54565i | −0.880162 | − | 0.578174i | |||||
12.5075 | + | 12.5075i | 1.29696 | + | 1.29696i | |||||
17.1486 | − | 1.75691i | 1.76875 | − | 0.181212i | |||||
3.15503 | + | 0.275110i | 0.323699 | + | 0.0282257i | |||||
−6.39172 | − | 11.4140i | −0.652352 | − | 1.16494i | |||||
0.309689 | − | 0.309689i | 0.0314442 | − | 0.0314442i | −0.691210 | − | 0.722654i | ||
0.722654 | + | 0.691210i | ||||||||
−3.65769 | − | 2.97787i | −0.369483 | − | 0.300810i | |||||
−2.34794 | −0.235977 | |||||||||
−0.302323 | − | 9.99543i | −0.0302323 | − | 0.999543i | |||||
8.34044 | 0.829905 | 0.414952 | − | 0.909843i | ||||||
0.414952 | + | 0.909843i | ||||||||
−3.30848 | − | 2.69356i | −0.327589 | − | 0.266702i | |||||
−9.04433 | + | 9.04433i | −0.891164 | + | 0.891164i | −0.994633 | − | 0.103469i | ||
0.103469 | + | 0.994633i | ||||||||
−0.873196 | − | 2.76119i | −0.0856240 | − | 0.270757i | |||||
−16.5612 | − | 1.44409i | −1.61621 | − | 0.140929i | |||||
15.7727 | − | 1.61595i | 1.53198 | − | 0.156955i | |||||
−0.464738 | − | 0.464738i | −0.0449280 | − | 0.0449280i | 0.684286 | − | 0.729214i | ||
−0.729214 | + | 0.684286i | ||||||||
1.65580 | − | 2.52066i | 0.159330 | − | 0.242550i | |||||
− | 6.78445i | − | 0.649832i | −0.945743 | − | 0.324916i | ||||
0.945743 | − | 0.324916i | ||||||||
2.26962 | + | 2.20201i | 0.216399 | + | 0.209953i | |||||
6.38737i | 0.606262i | |||||||||
11.9562 | + | 4.73412i | 1.12975 | + | 0.447332i | |||||
−3.36794 | − | 3.36794i | −0.316829 | − | 0.316829i | 0.530719 | − | 0.847548i | ||
−0.847548 | + | 0.530719i | ||||||||
0.472090 | + | 4.60791i | 0.0442152 | + | 0.431570i | |||||
8.64883 | − | 7.26149i | 0.806508 | − | 0.677138i | |||||
18.8872 | − | 3.91112i | 1.75363 | − | 0.363138i | |||||
−1.69989 | + | 1.69989i | −0.157155 | + | 0.157155i | |||||
2.24290 | − | 2.75493i | 0.206475 | − | 0.253612i | |||||
4.19374 | 0.384440 | |||||||||
14.2756 | − | 3.18196i | 1.30318 | − | 0.290472i | |||||
−1.00000 | −0.0909091 | |||||||||
3.16770 | − | 3.89086i | 0.286790 | − | 0.352262i | |||||
13.2747 | − | 13.2747i | 1.19694 | − | 1.19694i | |||||
14.9797 | − | 3.10197i | 1.34522 | − | 0.278565i | |||||
10.8019 | + | 2.88432i | 0.966150 | + | 0.257981i | |||||
−1.08796 | − | 10.6192i | −0.0969233 | − | 0.946036i | |||||
−5.74732 | − | 5.74732i | −0.509992 | − | 0.509992i | 0.404532 | − | 0.914524i | ||
−0.914524 | + | 0.404532i | ||||||||
−11.2854 | − | 0.799523i | −0.997500 | − | 0.0706685i | |||||
11.7013i | 1.03024i | |||||||||
3.23743 | − | 0.0489485i | 0.283941 | − | 0.00429307i | |||||
− | 18.0937i | − | 1.58085i | −0.612556 | − | 0.790427i | ||||
0.612556 | − | 0.790427i | ||||||||
−2.53934 | + | 3.86568i | −0.221022 | + | 0.336464i | |||||
−3.21963 | − | 3.21963i | −0.279178 | − | 0.279178i | |||||
−13.9620 | + | 1.43044i | −1.20613 | + | 0.123571i | |||||
2.16812 | + | 2.58235i | 0.186602 | + | 0.222253i | |||||
−3.51796 | + | 1.11252i | −0.301662 | + | 0.0953974i | |||||
6.35346 | − | 6.35346i | 0.542812 | − | 0.542812i | −0.381540 | − | 0.924352i | ||
0.924352 | + | 0.381540i | ||||||||
12.8088 | + | 10.4282i | 1.09036 | + | 0.887704i | |||||
−0.935850 | −0.0793778 | −0.0396889 | − | 0.999212i | ||||||
−0.0396889 | + | 0.999212i | ||||||||
−8.90754 | + | 11.2853i | −0.752824 | + | 0.953785i | |||||
−28.1887 | −2.37392 | |||||||||
−16.4365 | − | 13.3816i | −1.37932 | − | 1.12296i | |||||
−0.723993 | + | 0.723993i | −0.0605433 | + | 0.0605433i | |||||
3.72971 | + | 8.61942i | 0.310809 | + | 0.718285i | |||||
−1.87326 | + | 21.4830i | −0.155566 | + | 1.78407i | |||||
−3.95893 | + | 0.405600i | −0.327643 | + | 0.0335677i | |||||
5.45373 | + | 5.45373i | 0.449816 | + | 0.449816i | |||||
4.61702 | + | 3.03289i | 0.379516 | + | 0.249302i | |||||
− | 12.5283i | − | 1.02636i | −0.858281 | − | 0.513180i | ||||
0.858281 | − | 0.513180i | ||||||||
−1.17405 | + | 16.3101i | −0.0958605 | + | 1.33171i | |||||
− | 11.6081i | − | 0.944655i | −0.881423 | − | 0.472328i | ||||
0.881423 | − | 0.472328i | ||||||||
3.55492 | + | 1.84671i | 0.288342 | + | 0.149788i | |||||
2.16579 | + | 2.16579i | 0.175093 | + | 0.175093i | |||||
−0.463369 | − | 4.52278i | −0.0373393 | − | 0.364456i | |||||
−1.48571 | + | 17.0385i | −0.119335 | + | 1.36857i | |||||
0.960259 | + | 4.63719i | 0.0768823 | + | 0.371273i | |||||
2.67425 | − | 2.67425i | 0.213428 | − | 0.213428i | −0.592294 | − | 0.805722i | ||
0.805722 | + | 0.592294i | ||||||||
12.6291 | − | 15.5123i | 1.00472 | − | 1.23409i | |||||
−25.9270 | −2.05614 | |||||||||
4.47840 | − | 11.8298i | 0.354049 | − | 0.935227i | |||||
−16.2361 | −1.27959 | |||||||||
−9.40286 | + | 11.5495i | −0.738758 | + | 0.907412i | |||||
−5.14228 | + | 5.14228i | −0.402775 | + | 0.402775i | −0.879210 | − | 0.476435i | ||
0.476435 | + | 0.879210i | ||||||||
−3.29225 | − | 15.8986i | −0.257081 | − | 1.24147i | |||||
−3.32503 | − | 3.96029i | −0.258853 | − | 0.308308i | |||||
0.687964 | + | 6.71499i | 0.0533964 | + | 0.521184i | |||||
10.2219 | + | 10.2219i | 0.790991 | + | 0.790991i | 0.981655 | − | 0.190665i | ||
−0.190665 | + | 0.981655i | ||||||||
−18.6603 | − | 9.69367i | −1.43967 | − | 0.747883i | |||||
− | 11.9517i | − | 0.919359i | |||||||
−0.0623640 | − | 4.12471i | −0.00478310 | − | 0.316351i | |||||
− | 3.32545i | − | 0.254303i | |||||||
8.45813 | + | 5.55610i | 0.644927 | + | 0.423649i | |||||
13.4480 | + | 13.4480i | 1.02244 | + | 1.02244i | 0.999742 | + | 0.0226936i | ||
0.0226936 | + | 0.999742i | ||||||||
−31.3759 | + | 3.21452i | −2.37860 | + | 0.243692i | |||||
−9.22737 | − | 13.1618i | −0.697524 | − | 0.994942i | |||||
1.58850 | + | 3.67106i | 0.119738 | + | 0.276716i | |||||
−4.10768 | + | 4.10768i | −0.308752 | + | 0.308752i | |||||
−5.16243 | − | 4.20293i | −0.386941 | − | 0.315023i | |||||
5.08038 | 0.379725 | 0.189863 | − | 0.981811i | ||||||
0.189863 | + | 0.981811i | ||||||||
−10.4283 | + | 1.22797i | −0.777276 | + | 0.0915274i | |||||
−9.69715 | −0.720783 | −0.360392 | − | 0.932801i | ||||||
−0.360392 | + | 0.932801i | ||||||||
−3.60994 | − | 2.93899i | −0.267587 | − | 0.217852i | |||||
−5.80138 | + | 5.80138i | −0.428851 | + | 0.428851i | |||||
13.6198 | − | 4.30711i | 1.00407 | − | 0.317525i | |||||
−4.73001 | + | 3.97128i | −0.347757 | + | 0.291974i | |||||
−24.8847 | + | 2.54949i | −1.82463 | + | 0.186937i | |||||
0.922419 | + | 0.922419i | 0.0674540 | + | 0.0674540i | |||||
−13.3847 | + | 20.3758i | −0.976183 | + | 1.48606i | |||||
− | 4.84774i | − | 0.352621i | |||||||
−3.11876 | + | 3.21452i | −0.226259 | + | 0.233206i | |||||
6.59943i | 0.477518i | 0.971079 | + | 0.238759i | ||||||
−0.971079 | + | 0.238759i | ||||||||
18.2249 | + | 3.18142i | 1.31527 | + | 0.229599i | |||||
−7.19452 | − | 7.19452i | −0.517873 | − | 0.517873i | 0.399054 | − | 0.916927i | ||
−0.916927 | + | 0.399054i | ||||||||
0.0631262 | + | 0.616153i | 0.00453219 | + | 0.0442372i | |||||
−5.27452 | − | 0.459924i | −0.377716 | − | 0.0329359i | |||||
6.53172 | − | 1.35257i | 0.466551 | − | 0.0966124i | |||||
14.8919 | − | 14.8919i | 1.06100 | − | 1.06100i | 0.0629865 | − | 0.998014i | ||
0.998014 | − | 0.0629865i | ||||||||
2.09641 | − | 2.57501i | 0.148986 | − | 0.182998i | |||||
−20.8386 | −1.47721 | −0.738605 | − | 0.674139i | ||||||
−0.738605 | + | 0.674139i | ||||||||
11.2320 | + | 8.59310i | 0.794225 | + | 0.607624i | |||||
22.9506 | 1.61881 | |||||||||
−7.44696 | + | 9.14705i | −0.523966 | + | 0.643584i | |||||
21.9229 | − | 21.9229i | 1.53869 | − | 1.53869i | |||||
5.90812 | − | 1.22344i | 0.413651 | − | 0.0856579i | |||||
18.0837 | + | 1.57685i | 1.26302 | + | 0.110132i | |||||
−1.84357 | − | 17.9945i | −0.128448 | − | 1.25373i | |||||
−8.38486 | − | 8.38486i | −0.582788 | − | 0.582788i | |||||
3.80789 | + | 1.50775i | 0.264029 | + | 0.104544i | |||||
− | 1.41633i | − | 0.0979693i | |||||||
16.3708 | − | 16.8735i | 1.12969 | − | 1.16438i | |||||
1.74833i | 0.120360i | 0.998188 | + | 0.0601799i | ||||||
−0.998188 | + | 0.0601799i | ||||||||
−12.3108 | + | 18.7409i | −0.845511 | + | 1.28713i | |||||
24.5073 | + | 24.5073i | 1.67921 | + | 1.67921i | |||||
0.924637 | − | 0.0947309i | 0.0632069 | − | 0.00647567i | |||||
−8.66514 | + | 7.27518i | −0.590957 | + | 0.496163i | |||||
1.28601 | + | 4.06657i | 0.0875017 | + | 0.276695i | |||||
17.3874 | − | 17.3874i | 1.18033 | − | 1.18033i | |||||
7.44058 | + | 6.05766i | 0.503940 | + | 0.410276i | |||||
6.50764 | 0.439745 | |||||||||
−4.44145 | + | 0.522999i | −0.299442 | + | 0.0352606i | |||||
1.33565 | 0.0898456 | |||||||||
−7.00510 | − | 5.70312i | −0.470151 | − | 0.382768i | |||||
4.01382 | − | 4.01382i | 0.268785 | − | 0.268785i | −0.559825 | − | 0.828611i | ||
0.828611 | + | 0.559825i | ||||||||
−15.8673 | + | 8.88551i | −1.06018 | + | 0.593688i | |||||
2.03189 | − | 11.5625i | 0.135460 | − | 0.770835i | |||||
6.70080 | − | 0.686511i | 0.445731 | − | 0.0456660i | |||||
7.34061 | + | 7.34061i | 0.487213 | + | 0.487213i | 0.907426 | − | 0.420213i | ||
−0.420213 | + | 0.907426i | ||||||||
−5.47506 | − | 3.59654i | −0.362595 | − | 0.238186i | |||||
− | 1.92059i | − | 0.126916i | −0.997985 | − | 0.0634581i | ||||
0.997985 | − | 0.0634581i | ||||||||
0.241443 | + | 15.9689i | 0.0159203 | + | 1.05296i | |||||
7.43450i | 0.489154i | |||||||||
−12.5745 | + | 24.2059i | −0.825558 | + | 1.58920i | |||||
−15.6936 | − | 15.6936i | −1.02812 | − | 1.02812i | −0.999593 | − | 0.0285271i | ||
−0.0285271 | − | 0.999593i | ||||||||
−0.346501 | − | 3.38208i | −0.0226515 | − | 0.221094i | |||||
−17.5260 | − | 20.8745i | −1.14327 | − | 1.36170i | |||||
1.01874 | + | 4.91962i | 0.0663145 | + | 0.320240i | |||||
−23.1293 | + | 23.1293i | −1.50241 | + | 1.50241i | |||||
−3.74448 | + | 4.59932i | −0.242719 | + | 0.298130i | |||||
24.5204 | 1.58609 | 0.793047 | − | 0.609161i | ||||||
0.793047 | + | 0.609161i | ||||||||
−9.25662 | + | 18.4973i | −0.597512 | + | 1.19400i | |||||
5.52210 | 0.355710 | 0.177855 | − | 0.984057i | ||||||
0.177855 | + | 0.984057i | ||||||||
0.892874 | − | 1.09671i | 0.0573961 | − | 0.0704993i | |||||
14.0218 | − | 14.0218i | 0.899498 | − | 0.899498i | |||||
1.43880 | + | 6.94810i | 0.0921095 | + | 0.444806i | |||||
−0.647826 | + | 7.42942i | −0.0413881 | + | 0.474649i | |||||
2.70588 | + | 26.4112i | 0.172520 | + | 1.68391i | |||||
−1.02541 | − | 1.02541i | −0.0652453 | − | 0.0652453i | |||||
−9.97305 | + | 19.1981i | −0.633289 | + | 1.21908i | |||||
− | 11.0380i | − | 0.699506i | |||||||
−12.8080 | + | 9.27122i | −0.810048 | + | 0.586363i | |||||
− | 13.1078i | − | 0.827357i | −0.910423 | − | 0.413678i | ||||
0.910423 | − | 0.413678i | ||||||||
12.6176 | + | 8.28845i | 0.794837 | + | 0.522124i | |||||
−3.57116 | − | 3.57116i | −0.224517 | − | 0.224517i | |||||
11.4348 | − | 1.17152i | 0.717482 | − | 0.0735075i | |||||
−0.585977 | + | 6.72012i | −0.0366953 | + | 0.420830i | |||||
10.9533 | − | 11.6630i | 0.684582 | − | 0.728936i | |||||
−20.6594 | + | 20.6594i | −1.28870 | + | 1.28870i | −0.353121 | + | 0.935578i | ||
−0.935578 | + | 0.353121i | ||||||||
−12.8330 | − | 10.4478i | −0.798946 | − | 0.650452i | |||||
8.87947 | 0.551743 | |||||||||
−2.83693 | + | 3.59423i | −0.175939 | + | 0.222904i | |||||
22.6434 | 1.40159 | |||||||||
19.8436 | + | 16.1554i | 1.22594 | + | 0.998084i | |||||
−5.86258 | + | 5.86258i | −0.361502 | + | 0.361502i | −0.864366 | − | 0.502864i | ||
0.502864 | + | 0.864366i | ||||||||
−1.97222 | − | 6.23649i | −0.121382 | − | 0.383830i | |||||
−16.1198 | − | 19.1996i | −0.990234 | − | 1.17942i | |||||
6.40574 | − | 0.656281i | 0.392761 | − | 0.0402391i | |||||
7.69733 | + | 7.69733i | 0.471069 | + | 0.471069i | |||||
10.8975 | − | 16.5895i | 0.665673 | − | 1.01336i | |||||
− | 12.8329i | − | 0.782437i | −0.920298 | − | 0.391219i | ||||
0.920298 | − | 0.391219i | ||||||||
−4.76795 | + | 0.0720893i | −0.290168 | + | 0.00438722i | |||||
− | 18.6929i | − | 1.13551i | −0.823196 | − | 0.567757i | ||||
0.823196 | − | 0.567757i | ||||||||
1.92099 | − | 4.85152i | 0.116477 | − | 0.294167i | |||||
5.38252 | + | 5.38252i | 0.325765 | + | 0.325765i | |||||
1.29507 | + | 12.6407i | 0.0782380 | + | 0.763655i | |||||
0.865394 | − | 4.92454i | 0.0521852 | − | 0.296961i | |||||
−22.8734 | + | 4.73656i | −1.37681 | + | 0.285107i | |||||
−6.37661 | + | 6.37661i | −0.383133 | + | 0.383133i | −0.872230 | − | 0.489097i | ||
0.489097 | + | 0.872230i | ||||||||
0.835597 | − | 1.02636i | 0.0501158 | − | 0.0615568i | |||||
17.9588 | 1.07517 | |||||||||
−4.42344 | − | 19.8454i | −0.264351 | − | 1.18599i | |||||
−16.5985 | −0.990183 | −0.495092 | − | 0.868841i | ||||||
−0.495092 | + | 0.868841i | ||||||||
25.1690 | − | 30.9149i | 1.49879 | − | 1.84095i | |||||
−10.6084 | + | 10.6084i | −0.630606 | + | 0.630606i | −0.948220 | − | 0.317614i | ||
0.317614 | + | 0.948220i | ||||||||
29.3515 | − | 6.07804i | 1.74169 | − | 0.360665i | |||||
5.60906 | − | 4.70932i | 0.332252 | − | 0.278956i | |||||
−0.147577 | − | 1.44045i | −0.00872639 | − | 0.0851754i | |||||
−18.4540 | − | 18.4540i | −1.08930 | − | 1.08930i | |||||
−12.7832 | − | 3.60564i | −0.753256 | − | 0.212464i | |||||
15.2983i | 0.899899i | |||||||||
−21.8881 | − | 21.2361i | −1.28531 | − | 1.24702i | |||||
− | 1.01283i | − | 0.0593729i | |||||||
3.09000 | − | 4.70395i | 0.180828 | − | 0.275278i | |||||
−15.3588 | − | 15.3588i | −0.897270 | − | 0.897270i | 0.0979236 | − | 0.995194i | ||
−0.995194 | + | 0.0979236i | ||||||||
−10.8507 | + | 1.11167i | −0.632823 | + | 0.0648340i | |||||
−5.59576 | − | 0.487935i | −0.325798 | − | 0.0284087i | |||||
−7.44862 | + | 2.35554i | −0.432942 | + | 0.136913i | |||||
1.06627 | − | 1.06627i | 0.0618711 | − | 0.0618711i | |||||
13.7399 | + | 11.1862i | 0.795933 | + | 0.647999i | |||||
−5.17099 | −0.299046 | |||||||||
−16.8392 | − | 15.8504i | −0.972210 | − | 0.915125i | |||||
16.2667 | 0.937598 | |||||||||
12.7308 | + | 10.3646i | 0.732573 | + | 0.596415i | |||||
13.6385 | − | 13.6385i | 0.783512 | − | 0.783512i | |||||
−5.19941 | + | 2.24984i | −0.298207 | + | 0.129037i | |||||
−7.90303 | − | 0.689123i | −0.452526 | − | 0.0394591i | |||||
−4.30902 | + | 0.441467i | −0.246330 | + | 0.0252370i | |||||
0.975912 | + | 0.975912i | 0.0556982 | + | 0.0556982i | 0.734407 | − | 0.678709i | ||
−0.678709 | + | 0.734407i | ||||||||
5.37392 | + | 3.53010i | 0.306207 | + | 0.201146i | |||||
29.5791i | 1.68269i | |||||||||
−17.3598 | − | 16.8426i | −0.985968 | − | 0.956597i | |||||
5.31250i | 0.301244i | 0.988591 | + | 0.150622i | ||||||
−0.988591 | + | 0.150622i | ||||||||
−5.94305 | − | 3.08730i | −0.336459 | − | 0.174784i | |||||
4.06321 | + | 4.06321i | 0.229666 | + | 0.229666i | 0.812553 | − | 0.582887i | ||
−0.582887 | + | 0.812553i | ||||||||
0.545110 | + | 5.32064i | 0.0307624 | + | 0.300261i | |||||
−12.9264 | + | 10.8529i | −0.728322 | + | 0.611494i | |||||
5.73626 | + | 27.7010i | 0.322690 | + | 1.55830i | |||||
−7.01485 | + | 7.01485i | −0.393993 | + | 0.393993i | −0.876108 | − | 0.482115i | ||
0.482115 | + | 0.876108i | ||||||||
23.1495 | − | 28.4344i | 1.29816 | − | 1.59452i | |||||
9.64395 | 0.539958 | |||||||||
8.97522 | + | 15.4740i | 0.501730 | + | 0.865024i | |||||
−1.51991 | −0.0848329 | |||||||||
14.4968 | − | 17.8063i | 0.807876 | − | 0.992308i | |||||
−1.30645 | + | 1.30645i | −0.0726926 | + | 0.0726926i | |||||
−4.27086 | − | 20.6244i | −0.237270 | − | 1.14580i | |||||
−2.93879 | − | 4.19187i | −0.163015 | − | 0.232523i | |||||
−1.04819 | − | 10.2310i | −0.0580537 | − | 0.566643i | |||||
−11.0941 | − | 11.0941i | −0.613506 | − | 0.613506i | |||||
20.3758 | + | 10.5848i | 1.12506 | + | 0.584449i | |||||
39.1868i | 2.16044i | |||||||||
7.31213 | − | 0.110556i | 0.402519 | − | 0.00608592i | |||||
− | 25.0017i | − | 1.37422i | −0.726556 | − | 0.687108i | ||||
0.726556 | − | 0.687108i | ||||||||
−7.97867 | − | 5.24114i | −0.437886 | − | 0.287645i | |||||
4.58565 | + | 4.58565i | 0.251292 | + | 0.251292i | |||||
−20.3372 | + | 2.08359i | −1.11280 | + | 0.114009i | |||||
14.2693 | + | 16.9955i | 0.779614 | + | 0.928563i | |||||
27.2925 | − | 11.8097i | 1.48893 | − | 0.644274i | |||||
2.87545 | − | 2.87545i | 0.156636 | − | 0.156636i | −0.624438 | − | 0.781074i | ||
0.781074 | + | 0.624438i | ||||||||
13.1075 | + | 10.6713i | 0.712956 | + | 0.580444i | |||||
−11.0147 | −0.598236 | |||||||||
4.57930 | + | 3.61446i | 0.248348 | + | 0.196021i | |||||
7.64876 | 0.414204 | |||||||||
3.64706 | + | 2.96921i | 0.197210 | + | 0.160556i | |||||
−8.33105 | + | 8.33105i | −0.449835 | + | 0.449835i | |||||
−13.6455 | + | 4.31523i | −0.735715 | + | 0.232662i | |||||
2.26862 | − | 26.0170i | 0.122138 | − | 1.40071i | |||||
−26.7560 | + | 2.74121i | −1.43841 | + | 0.147368i | |||||
0.444682 | + | 0.444682i | 0.0238718 | + | 0.0238718i | 0.718942 | − | 0.695070i | ||
−0.695070 | + | 0.718942i | ||||||||
24.4893 | − | 37.2805i | 1.31277 | − | 1.99844i | |||||
11.1765i | 0.598262i | 0.954212 | + | 0.299131i | ||||||
−0.954212 | + | 0.299131i | ||||||||
22.6736 | + | 1.63211i | 1.21196 | + | 0.0872401i | |||||
− | 1.54394i | − | 0.0824094i | |||||||
−5.44442 | − | 1.53566i | −0.290189 | − | 0.0818510i | |||||
9.52218 | + | 9.52218i | 0.506814 | + | 0.506814i | 0.913547 | − | 0.406733i | ||
−0.406733 | + | 0.913547i | ||||||||
−0.837298 | − | 8.17259i | −0.0445019 | − | 0.434368i | |||||
−2.91113 | + | 33.3855i | −0.154507 | + | 1.77192i | |||||
9.21880 | − | 1.90901i | 0.488596 | − | 0.101177i | |||||
6.85772 | − | 6.85772i | 0.362949 | − | 0.362949i | |||||
−4.53614 | + | 5.57171i | −0.239742 | + | 0.294474i | |||||
23.9996 | 1.26665 | 0.633326 | − | 0.773885i | ||||||
0.633326 | + | 0.773885i | ||||||||
7.96439 | − | 12.5332i | 0.419760 | − | 0.660558i | |||||
−16.9940 | −0.894422 | |||||||||
8.65833 | − | 10.6350i | 0.455072 | − | 0.558962i | |||||
−1.63523 | + | 1.63523i | −0.0858272 | + | 0.0858272i | |||||
6.44645 | − | 1.33491i | 0.337886 | − | 0.0699686i | |||||
4.04606 | + | 4.81907i | 0.211780 | + | 0.252242i | |||||
−1.18254 | − | 11.5424i | −0.0618122 | − | 0.603328i | |||||
10.7096 | + | 10.7096i | 0.559038 | + | 0.559038i | 0.929033 | − | 0.369996i | ||
−0.369996 | + | 0.929033i | ||||||||
−7.43712 | + | 18.7827i | −0.387687 | + | 0.979117i | |||||
− | 19.0605i | − | 0.992249i | |||||||
−0.132044 | − | 8.73331i | −0.00686464 | − | 0.454023i | |||||
36.0427i | 1.87124i | |||||||||
19.4228 | − | 29.5677i | 1.00703 | − | 1.53301i | |||||
−12.7491 | − | 12.7491i | −0.660125 | − | 0.660125i | 0.295284 | − | 0.955409i | ||
−0.955409 | + | 0.295284i | ||||||||
−1.83523 | + | 0.188023i | −0.0948976 | + | 0.00972245i | |||||
22.3801 | − | 12.9470i | 1.15570 | − | 0.668581i | |||||
−10.3955 | − | 32.8722i | −0.536105 | − | 1.69526i | |||||
6.98216 | − | 6.98216i | 0.359599 | − | 0.359599i | |||||
5.31657 | + | 4.32842i | 0.273455 | + | 0.222630i | |||||
−11.9690 | −0.614804 | −0.307402 | − | 0.951580i | ||||||
−0.307402 | + | 0.951580i | ||||||||
−0.740736 | − | 6.29054i | −0.0379990 | − | 0.322698i | |||||
−18.7963 | −0.962966 | |||||||||
−7.23766 | − | 5.89246i | −0.370311 | − | 0.301484i | |||||
−0.0817471 | + | 0.0817471i | −0.00417708 | + | 0.00417708i | −0.709192 | − | 0.705015i | ||
0.705015 | + | 0.709192i | ||||||||
−19.7616 | + | 17.1468i | −1.00846 | + | 0.875021i | |||||
−5.50544 | + | 4.62232i | −0.280583 | + | 0.235575i | |||||
14.3141 | − | 1.46651i | 0.728569 | − | 0.0746434i | |||||
8.40067 | + | 8.40067i | 0.427030 | + | 0.427030i | |||||
−0.732106 | − | 0.480916i | −0.0371671 | − | 0.0244148i | |||||
− | 13.0833i | − | 0.663347i | −0.943394 | − | 0.331674i | ||||
0.943394 | − | 0.331674i | ||||||||
5.21389 | − | 5.37397i | 0.264015 | − | 0.272122i | |||||
6.58821i | 0.333180i | |||||||||
−4.34862 | + | 8.37109i | −0.219639 | + | 0.422804i | |||||
−29.5873 | − | 29.5873i | −1.49248 | − | 1.49248i | |||||
3.03551 | + | 29.6286i | 0.152927 | + | 1.49267i | |||||
−31.5082 | − | 2.74743i | −1.58535 | − | 0.138238i | |||||
0.952210 | + | 4.59832i | 0.0478504 | + | 0.231074i | |||||
13.8205 | − | 13.8205i | 0.693631 | − | 0.693631i | −0.269398 | − | 0.963029i | ||
0.963029 | + | 0.269398i | ||||||||
18.6063 | − | 22.8539i | 0.932647 | − | 1.14556i | |||||
−10.5297 | −0.527143 | |||||||||
−19.4529 | + | 4.64574i | −0.972647 | + | 0.232287i | |||||
29.9011 | 1.49319 | 0.746595 | − | 0.665279i | ||||||
0.746595 | + | 0.665279i | ||||||||
−20.4920 | + | 25.1701i | −1.02205 | + | 1.25537i | |||||
5.53765 | − | 5.53765i | 0.275850 | − | 0.275850i | |||||
−3.38248 | − | 16.3343i | −0.168284 | − | 0.812664i | |||||
23.4590 | + | 2.04556i | 1.16569 | + | 0.101645i | |||||
4.46870 | + | 43.6175i | 0.221778 | + | 2.16470i | |||||
1.95305 | + | 1.95305i | 0.0968091 | + | 0.0968091i | |||||
−3.93345 | + | 7.57188i | −0.194735 | + | 0.374864i | |||||
25.5845i | 1.26507i | 0.774531 | + | 0.632536i | ||||||
−0.774531 | + | 0.632536i | ||||||||
−17.8758 | + | 18.4247i | −0.882823 | + | 0.909929i | |||||
− | 20.7787i | − | 1.02494i | |||||||
21.3808 | + | 14.0449i | 1.05336 | + | 0.691944i | |||||
5.71034 | + | 5.71034i | 0.280988 | + | 0.280988i | |||||
16.6824 | − | 1.70915i | 0.819895 | − | 0.0839999i | |||||
8.17394 | − | 6.86277i | 0.401243 | − | 0.336880i | |||||
−5.05353 | + | 2.82992i | −0.247770 | + | 0.138748i | |||||
−1.53033 | + | 1.53033i | −0.0749405 | + | 0.0749405i | |||||
1.55330 | + | 1.26460i | 0.0759744 | + | 0.0618536i | |||||
−5.31123 | −0.259470 | −0.129735 | − | 0.991549i | ||||||
−0.129735 | + | 0.991549i | ||||||||
3.88823 | + | 33.0199i | 0.189726 | + | 1.61121i | |||||
14.3707 | 0.700385 | 0.350192 | − | 0.936678i | ||||||
0.350192 | + | 0.936678i | ||||||||
−1.91741 | − | 1.56104i | −0.0933381 | − | 0.0759900i | |||||
−20.2374 | + | 20.2374i | −0.983974 | + | 0.983974i | |||||
−9.56139 | − | 30.2347i | −0.464342 | − | 1.46833i | |||||
−5.34075 | + | 3.74424i | −0.259064 | + | 0.181622i | |||||
−48.7594 | + | 4.99550i | −2.36240 | + | 0.242033i | |||||
8.06486 | + | 8.06486i | 0.390286 | + | 0.390286i | |||||
−0.721692 | + | 1.09864i | −0.0348843 | + | 0.0531049i | |||||
2.36779i | 0.114318i | |||||||||
−0.241898 | − | 15.9990i | −0.0116653 | − | 0.771539i | |||||
38.3768i | 1.84854i | 0.381734 | + | 0.924272i | ||||||
−0.381734 | + | 0.924272i | ||||||||
−5.60809 | − | 2.22056i | −0.269820 | − | 0.106837i | |||||
−6.38327 | − | 6.38327i | −0.306760 | − | 0.306760i | 0.536891 | − | 0.843651i | ||
−0.843651 | + | 0.536891i | ||||||||
3.54420 | + | 34.5937i | 0.170127 | + | 1.66055i | |||||
32.0664 | + | 38.1928i | 1.53747 | + | 1.83121i | |||||
−13.2870 | + | 2.75144i | −0.636332 | + | 0.131770i | |||||
5.05792 | − | 5.05792i | 0.241953 | − | 0.241953i | |||||
−5.81050 | + | 7.13700i | −0.277636 | + | 0.341019i | |||||
16.3392 | 0.779827 | 0.389913 | − | 0.920852i | ||||||
0.389913 | + | 0.920852i | ||||||||
3.39208 | − | 5.33796i | 0.161711 | − | 0.254477i | |||||
7.83073 | 0.372892 | |||||||||
−1.19257 | + | 1.46482i | −0.0567247 | + | 0.0696745i | |||||
6.87247 | − | 6.87247i | 0.326521 | − | 0.326521i | −0.524741 | − | 0.851262i | ||
0.851262 | + | 0.524741i | ||||||||
12.5093 | − | 2.59040i | 0.593667 | − | 0.122935i | |||||
−0.914335 | + | 10.4858i | −0.0433437 | + | 0.497075i | |||||
0.818166 | + | 7.98584i | 0.0387413 | + | 0.378141i | |||||
−20.4866 | − | 20.4866i | −0.968985 | − | 0.968985i | |||||
4.42269 | − | 25.3355i | 0.208952 | − | 1.19699i | |||||
4.44137i | 0.209601i | 0.994493 | + | 0.104801i | ||||||
−0.994493 | + | 0.104801i | ||||||||
10.8665 | + | 12.5523i | 0.512253 | + | 0.591720i | |||||
− | 8.11796i | − | 0.382260i | |||||||
−5.23007 | + | 7.96181i | −0.246002 | + | 0.374492i | |||||
−18.9819 | − | 18.9819i | −0.891848 | − | 0.891848i | |||||
−14.6048 | + | 1.49629i | −0.685436 | + | 0.0702243i | |||||
−0.639369 | + | 7.33243i | −0.0299741 | + | 0.343750i | |||||
8.83291 | − | 2.79331i | 0.413639 | − | 0.130809i | |||||
−11.8533 | + | 11.8533i | −0.554476 | + | 0.554476i | −0.927729 | − | 0.373254i | ||
0.373254 | + | 0.927729i | ||||||||
2.10633 | + | 1.71485i | 0.0984225 | + | 0.0801295i | |||||
−1.96709 | −0.0918159 | |||||||||
−17.7288 | − | 13.9934i | −0.826611 | − | 0.652446i | |||||
−25.5894 | −1.19182 | −0.595909 | − | 0.803052i | ||||||
−0.595909 | + | 0.803052i | ||||||||
−8.15350 | − | 6.63807i | −0.379335 | − | 0.308831i | |||||
−16.4285 | + | 16.4285i | −0.763499 | + | 0.763499i | −0.976953 | − | 0.213454i | ||
0.213454 | + | 0.976953i | ||||||||
−15.3195 | − | 35.4035i | −0.711188 | − | 1.64357i | |||||
25.4324 | + | 30.2913i | 1.17940 | + | 1.40473i | |||||
31.2237 | − | 3.19893i | 1.44641 | − | 0.148188i | |||||
−19.5335 | − | 19.5335i | −0.903901 | − | 0.903901i | 0.0918697 | − | 0.995771i | ||
−0.995771 | + | 0.0918697i | ||||||||
4.01855 | + | 2.63976i | 0.185757 | + | 0.122023i | |||||
− | 31.9050i | − | 1.47323i | |||||||
38.5418 | − | 0.582736i | 1.77780 | − | 0.0268796i | |||||
− | 8.74600i | − | 0.402995i | |||||||
−6.30501 | − | 3.27533i | −0.290212 | − | 0.150759i | |||||
3.57789 | + | 3.57789i | 0.164511 | + | 0.164511i | |||||
−4.71460 | − | 46.0176i | −0.216549 | − | 2.11366i | |||||
6.97475 | + | 1.22568i | 0.320024 | + | 0.0562380i | |||||
−1.70078 | − | 8.21324i | −0.0779550 | − | 0.376453i | |||||
−18.6136 | + | 18.6136i | −0.852259 | + | 0.852259i | |||||
−21.8936 | + | 26.8918i | −1.00139 | + | 1.23000i | |||||
−1.19428 | −0.0545681 | −0.0272840 | − | 0.999628i | ||||||
−0.0272840 | + | 0.999628i | ||||||||
−12.0212 | − | 26.6676i | −0.548690 | − | 1.21720i | |||||
2.82799 | 0.128945 | |||||||||
−4.93054 | + | 6.05615i | −0.224580 | + | 0.275850i | |||||
−26.5498 | + | 26.5498i | −1.20806 | + | 1.20806i | |||||
0.405551 | + | 1.95845i | 0.0184341 | + | 0.0890205i | |||||
0.750023 | − | 0.629714i | 0.0340568 | − | 0.0285938i | |||||
2.85816 | + | 27.8975i | 0.129649 | + | 1.26546i | |||||
−3.24221 | − | 3.24221i | −0.146919 | − | 0.146919i | 0.629821 | − | 0.776740i | ||
−0.776740 | + | 0.629821i | ||||||||
−8.90472 | − | 4.62583i | −0.403098 | − | 0.209402i | |||||
16.8176i | 0.760518i | |||||||||
−7.56951 | − | 7.34402i | −0.341955 | − | 0.331769i | |||||
− | 11.6132i | − | 0.524095i | −0.965055 | − | 0.262047i | ||||
0.965055 | − | 0.262047i | ||||||||
−31.3814 | − | 20.6143i | −1.41478 | − | 0.929364i | |||||
−8.89577 | − | 8.89577i | −0.400645 | − | 0.400645i | |||||
2.04014 | − | 0.209017i | 0.0917903 | − | 0.00940410i | |||||
−5.23031 | − | 0.456069i | −0.235085 | − | 0.0204988i | |||||
−12.1501 | − | 28.0790i | −0.545555 | − | 1.26079i | |||||
34.0691 | − | 34.0691i | 1.52821 | − | 1.52821i | |||||
12.1055 | + | 9.85556i | 0.542461 | + | 0.441638i | |||||
16.5509 | 0.740919 | 0.370459 | − | 0.928849i | ||||||
0.370459 | + | 0.928849i | ||||||||
1.26808 | − | 22.3247i | 0.0567101 | − | 0.998391i | |||||
33.4301 | 1.49355 | |||||||||
14.3755 | + | 11.7036i | 0.641608 | + | 0.522358i | |||||
−2.09623 | + | 2.09623i | −0.0934662 | + | 0.0934662i | −0.752294 | − | 0.658828i | ||
0.658828 | + | 0.752294i | ||||||||
−20.3560 | + | 6.43736i | −0.906729 | + | 0.286743i | |||||
18.5793 | + | 1.62007i | 0.826767 | + | 0.0720920i | |||||
7.10512 | − | 0.727934i | 0.315861 | − | 0.0323606i | |||||
−19.5437 | − | 19.5437i | −0.867966 | − | 0.867966i | |||||
−8.92500 | + | 13.5867i | −0.395983 | + | 0.602811i | |||||
− | 34.7631i | − | 1.54085i | −0.637533 | − | 0.770423i | ||||
0.637533 | − | 0.770423i | ||||||||
−6.84683 | − | 6.64287i | −0.303183 | − | 0.294151i | |||||
− | 9.04666i | − | 0.400201i | |||||||
3.01099 | + | 22.4262i | 0.133068 | + | 0.991107i | |||||
1.51018 | + | 1.51018i | 0.0666761 | + | 0.0666761i | |||||
−4.21115 | − | 41.1037i | −0.185746 | − | 1.81301i | |||||
−21.9041 | + | 18.3905i | −0.965209 | + | 0.810382i | |||||
22.9165 | − | 4.74549i | 1.00884 | − | 0.208908i | |||||
−8.61919 | + | 8.61919i | −0.379072 | + | 0.379072i | |||||
−7.92825 | + | 9.73821i | −0.348347 | + | 0.427872i | |||||
43.9812 | 1.93056 | |||||||||
−1.40881 | − | 6.32049i | −0.0617802 | − | 0.277172i | |||||
−28.2376 | −1.23711 | −0.618555 | − | 0.785741i | ||||||
−0.618555 | + | 0.785741i | ||||||||
−20.2177 | + | 24.8333i | −0.884906 | + | 1.08692i | |||||
−23.3918 | + | 23.3918i | −1.02285 | + | 1.02285i | −0.0231215 | + | 0.999733i | ||
−0.999733 | + | 0.0231215i | ||||||||
−35.4356 | + | 7.33793i | −1.54801 | + | 0.320559i | |||||
−36.6115 | − | 6.43377i | −1.59786 | − | 0.280793i | |||||
−1.19501 | − | 11.6641i | −0.0521049 | − | 0.508579i | |||||
−7.05537 | − | 7.05537i | −0.307337 | − | 0.307337i | |||||
8.60058 | + | 3.40545i | 0.374292 | + | 0.148203i | |||||
− | 2.50633i | − | 0.108971i | |||||||
35.4494 | − | 0.535980i | 1.53982 | − | 0.0232815i | |||||
5.89801i | 0.255952i | |||||||||
−4.99977 | + | 7.61122i | −0.216767 | + | 0.329988i | |||||
−5.87734 | − | 5.87734i | −0.254576 | − | 0.254576i | |||||
−15.3145 | + | 1.56900i | −0.662723 | + | 0.0678973i | |||||
−0.944987 | − | 1.12553i | −0.0408553 | − | 0.0486609i | |||||
8.46374 | + | 26.7638i | 0.365578 | + | 1.15602i | |||||
8.30757 | − | 8.30757i | 0.358498 | − | 0.358498i | |||||
14.0740 | + | 11.4582i | 0.606774 | + | 0.493997i | |||||
3.33515 | 0.143655 | |||||||||
4.17811 | − | 5.29343i | 0.179797 | − | 0.227793i | |||||
−21.3400 | −0.917478 | −0.458739 | − | 0.888571i | ||||||
−0.458739 | + | 0.888571i | ||||||||
20.5008 | + | 16.6904i | 0.880583 | + | 0.716916i | |||||
−15.8570 | + | 15.8570i | −0.680491 | + | 0.680491i | |||||
3.60552 | + | 6.43857i | 0.154585 | + | 0.276051i | |||||
1.31783 | − | 15.1131i | 0.0564495 | − | 0.647376i | |||||
−10.7090 | + | 1.09716i | −0.458303 | + | 0.0469540i | |||||
17.5485 | + | 17.5485i | 0.750320 | + | 0.750320i | 0.974539 | − | 0.224219i | ||
−0.224219 | + | 0.974539i | ||||||||
−15.0196 | − | 9.86628i | −0.641605 | − | 0.421466i | |||||
8.32991i | 0.355512i | |||||||||
4.62811 | + | 5.34608i | 0.197343 | + | 0.227958i | |||||
13.6590i | 0.581892i | |||||||||
15.2284 | − | 29.3146i | 0.648163 | − | 1.24771i | |||||
32.1534 | + | 32.1534i | 1.36730 | + | 1.36730i | |||||
−1.29979 | − | 12.6868i | −0.0552227 | − | 0.539011i | |||||
−1.24070 | + | 14.2286i | −0.0526646 | + | 0.603970i | |||||
0.379535 | + | 1.83282i | 0.0160959 | + | 0.0777287i | |||||
−5.97438 | + | 5.97438i | −0.253143 | + | 0.253143i | −0.822258 | − | 0.569115i | ||
0.569115 | + | 0.822258i | ||||||||
−16.0350 | + | 19.6957i | −0.678815 | + | 0.833784i | |||||
5.18073 | 0.219122 | |||||||||
25.7142 | + | 12.8682i | 1.08662 | + | 0.543780i | |||||
3.01673 | 0.127367 | |||||||||
14.8204 | − | 18.2038i | 0.625160 | − | 0.767879i | |||||
5.46575 | − | 5.46575i | 0.230354 | − | 0.230354i | −0.582486 | − | 0.812840i | ||
0.812840 | + | 0.582486i | ||||||||
11.4320 | + | 55.2062i | 0.481372 | + | 2.32460i | |||||
−6.84828 | − | 8.15667i | −0.288109 | − | 0.343154i | |||||
−2.16239 | − | 21.1064i | −0.0908921 | − | 0.887168i | |||||
−23.9394 | − | 23.9394i | −1.00536 | − | 1.00536i | |||||
−19.5413 | + | 37.6170i | −0.819936 | + | 1.57838i | |||||
35.6456i | 1.49434i | 0.664632 | + | 0.747171i | ||||||
−0.664632 | + | 0.747171i | ||||||||
0.156584 | + | 10.3563i | 0.00655857 | + | 0.433780i | |||||
0.929679i | 0.0389059i | 0.999811 | + | 0.0194529i | ||||||
−0.999811 | + | 0.0194529i | ||||||||
1.71152 | + | 1.12429i | 0.0715623 | + | 0.0470089i | |||||
10.7916 | + | 10.7916i | 0.450824 | + | 0.450824i | |||||
36.7158 | − | 3.76161i | 1.53249 | − | 0.157006i | |||||
20.6768 | − | 14.4958i | 0.862281 | − | 0.604519i | |||||
15.3681 | − | 10.8001i | 0.640338 | − | 0.450003i | |||||
−21.1801 | + | 21.1801i | −0.881740 | + | 0.881740i | −0.993711 | − | 0.111972i | ||
0.111972 | + | 0.993711i | ||||||||
−16.7778 | − | 13.6594i | −0.697865 | − | 0.568158i | |||||
−23.5294 | −0.977847 | |||||||||
42.8331 | − | 5.04377i | 1.77855 | − | 0.209431i | |||||
−15.3446 | −0.636602 | |||||||||
1.11078 | + | 0.904325i | 0.0460432 | + | 0.0374855i | |||||
−7.92764 | + | 7.92764i | −0.328329 | + | 0.328329i | |||||
2.39990 | + | 7.58887i | 0.0993084 | + | 0.314030i | |||||
−4.11690 | + | 3.45652i | −0.170213 | + | 0.142909i | |||||
30.5576 | − | 3.13069i | 1.26232 | − | 0.129328i | |||||
−9.39519 | − | 9.39519i | −0.387781 | − | 0.387781i | 0.486114 | − | 0.873895i | ||
−0.873895 | + | 0.486114i | ||||||||
8.46909 | − | 12.8926i | 0.349259 | − | 0.531683i | |||||
10.8331i | 0.446372i | |||||||||
5.53143 | − | 5.70127i | 0.227725 | − | 0.234717i | |||||
− | 48.7032i | − | 2.00338i | |||||||
4.06733 | − | 10.2722i | 0.167166 | − | 0.422184i | |||||
22.6726 | + | 22.6726i | 0.931054 | + | 0.931054i | 0.997772 | − | 0.0667183i | ||
−0.0667183 | + | 0.997772i | ||||||||
0.217345 | + | 2.12143i | 0.00891776 | + | 0.0870433i | |||||
9.34205 | + | 0.814602i | 0.382987 | + | 0.0333954i | |||||
−24.5361 | + | 5.08087i | −1.00504 | + | 0.208121i | |||||
−34.0759 | + | 34.0759i | −1.39463 | + | 1.39463i | |||||
4.61704 | − | 5.67108i | 0.188805 | − | 0.231908i | |||||
17.6219 | 0.720011 | 0.360006 | − | 0.932950i | ||||||
0.360006 | + | 0.932950i | ||||||||
32.4186 | − | 4.31526i | 1.32348 | − | 0.176170i | |||||
−9.95444 | −0.406050 | −0.203025 | − | 0.979174i | ||||||
−0.203025 | + | 0.979174i | ||||||||
−14.5241 | + | 17.8399i | −0.591960 | + | 0.727100i | |||||
16.4768 | − | 16.4768i | 0.670986 | − | 0.670986i | |||||
−22.7339 | + | 4.70769i | −0.925030 | + | 0.191553i | |||||
−2.22762 | − | 0.194242i | −0.0905654 | − | 0.00789707i | |||||
2.78004 | + | 27.1350i | 0.112931 | + | 1.10228i | |||||
−30.5524 | − | 30.5524i | −1.24008 | − | 1.24008i | −0.959966 | − | 0.280116i | ||
−0.280116 | − | 0.959966i | ||||||||
2.17500 | − | 7.71107i | 0.0882077 | − | 0.312725i | |||||
− | 71.6979i | − | 2.90535i | |||||||
7.81218 | − | 8.05204i | 0.316306 | − | 0.326018i | |||||
12.4805i | 0.504906i | |||||||||
3.36325 | − | 5.11992i | 0.135951 | − | 0.206961i | |||||
−15.5026 | − | 15.5026i | −0.626145 | − | 0.626145i | 0.320951 | − | 0.947096i | ||
−0.947096 | + | 0.320951i | ||||||||
−1.94166 | + | 0.198927i | −0.0783590 | + | 0.00802804i | |||||
32.1495 | − | 26.9924i | 1.29639 | − | 1.08844i | |||||
−8.66973 | + | 2.74171i | −0.349313 | + | 0.110466i | |||||
25.9842 | − | 25.9842i | 1.04608 | − | 1.04608i | 0.0471977 | − | 0.998886i | ||
0.998886 | − | 0.0471977i | ||||||||
−32.4397 | − | 26.4104i | −1.30492 | − | 1.06238i | |||||
8.25617 | 0.331843 | 0.165922 | − | 0.986139i | ||||||
0.165922 | + | 0.986139i | ||||||||
33.9716 | − | 4.00029i | 1.36433 | − | 0.160656i | |||||
7.61561 | 0.305604 | |||||||||
−5.82628 | − | 4.74339i | −0.233613 | − | 0.190193i | |||||
10.7005 | − | 10.7005i | 0.428708 | − | 0.428708i | |||||
8.69228 | − | 3.76124i | 0.347970 | − | 0.150570i | |||||
23.5022 | + | 8.52333i | 0.940087 | + | 0.340933i | |||||
−8.08410 | + | 0.828233i | −0.323106 | + | 0.0331028i | |||||
−2.31601 | − | 2.31601i | −0.0924927 | − | 0.0924927i | |||||
−6.32192 | − | 4.15283i | −0.252272 | − | 0.165716i | |||||
− | 3.60306i | − | 0.143664i | |||||||
−0.360857 | − | 23.8669i | −0.0143769 | − | 0.950879i | |||||
− | 10.1166i | − | 0.402735i | −0.979516 | − | 0.201367i | ||||
0.979516 | − | 0.201367i | ||||||||
−35.5018 | − | 18.4425i | −1.41219 | − | 0.733604i | |||||
2.85891 | + | 2.85891i | 0.113632 | + | 0.113632i | |||||
−1.42989 | − | 13.9566i | −0.0567880 | − | 0.554289i | |||||
−11.6864 | − | 13.9192i | −0.463762 | − | 0.552366i | |||||
10.5147 | + | 50.7767i | 0.416936 | + | 2.01343i | |||||
2.41462 | − | 2.41462i | 0.0956709 | − | 0.0956709i | |||||
−8.61084 | + | 10.5766i | −0.340906 | + | 0.418733i | |||||
35.1888 | 1.39205 | |||||||||
−24.9843 | − | 3.97314i | −0.987590 | − | 0.157052i | |||||
−33.6135 | −1.32765 | −0.663827 | − | 0.747886i | ||||||
−0.663827 | + | 0.747886i | ||||||||
1.35709 | − | 1.66690i | 0.0535599 | − | 0.0657872i | |||||
29.4474 | − | 29.4474i | 1.16129 | − | 1.16129i | 0.177097 | − | 0.984193i | ||
0.984193 | − | 0.177097i | ||||||||
6.58458 | + | 31.7976i | 0.259469 | + | 1.25300i | |||||
−2.27289 | + | 26.0660i | −0.0894950 | + | 1.02635i | |||||
−0.266302 | − | 2.59929i | −0.0104775 | − | 0.102268i | |||||
5.15400 | + | 5.15400i | 0.202625 | + | 0.202625i | 0.801124 | − | 0.598499i | ||
−0.598499 | + | 0.801124i | ||||||||
26.4324 | + | 13.7311i | 1.03836 | + | 0.539410i | |||||
2.51199i | 0.0986044i | |||||||||
7.22125 | + | 0.519806i | 0.283241 | + | 0.0203885i | |||||
− | 56.8647i | − | 2.22870i | |||||||
12.1564 | + | 7.98545i | 0.476080 | + | 0.312734i | |||||
16.9805 | + | 16.9805i | 0.664498 | + | 0.664498i | 0.956437 | − | 0.291939i | ||
−0.291939 | + | 0.956437i | ||||||||
22.0727 | − | 2.26139i | 0.863111 | − | 0.0884275i | |||||
3.51456 | − | 40.3058i | 0.137325 | − | 1.57488i | |||||
−29.8015 | + | 12.8954i | −1.16355 | + | 0.503481i | |||||
4.67199 | − | 4.67199i | 0.182272 | − | 0.182272i | |||||
−42.9766 | − | 34.9889i | −1.67540 | − | 1.36401i | |||||
38.6928 | 1.50726 | 0.753629 | − | 0.657300i | ||||||
0.753629 | + | 0.657300i | ||||||||
−6.40756 | + | 8.11800i | −0.249414 | + | 0.315993i | |||||
3.52220 | 0.136998 | 0.0684988 | − | 0.997651i | ||||||
0.0684988 | + | 0.997651i | ||||||||
27.4196 | + | 22.3233i | 1.06569 | + | 0.867621i | |||||
2.18409 | − | 2.18409i | 0.0848231 | − | 0.0848231i | |||||
12.8720 | − | 4.07062i | 0.499529 | − | 0.157971i | |||||
−6.54672 | − | 7.79749i | −0.253871 | − | 0.302374i | |||||
−9.12354 | + | 0.934725i | −0.353530 | + | 0.0362198i | |||||
34.4401 | + | 34.4401i | 1.33352 | + | 1.33352i | |||||
15.8735 | − | 24.1645i | 0.614164 | − | 0.934952i | |||||
− | 13.1270i | − | 0.507520i | |||||||
−31.3798 | + | 0.474450i | −1.21231 | + | 0.0183296i | |||||
3.54775i | 0.136960i | |||||||||
−11.4169 | + | 40.4765i | −0.440415 | + | 1.56142i | |||||
−2.73473 | − | 2.73473i | −0.105416 | − | 0.105416i | 0.652432 | − | 0.757848i | ||
−0.757848 | + | 0.652432i | ||||||||
0.586124 | + | 5.72096i | 0.0225766 | + | 0.220363i | |||||
4.32813 | + | 6.17361i | 0.166590 | + | 0.237623i | |||||
−23.4067 | + | 4.84701i | −0.900260 | + | 0.186424i | |||||
3.78865 | − | 3.78865i | 0.145610 | − | 0.145610i | −0.630544 | − | 0.776154i | ||
0.776154 | + | 0.630544i | ||||||||
9.83474 | − | 12.0799i | 0.377701 | − | 0.463927i | |||||
−1.40799 | −0.0540337 | |||||||||
−8.05276 | + | 1.79492i | −0.308809 | + | 0.0688320i | |||||
24.0071 | 0.919955 | |||||||||
−6.82938 | + | 8.38848i | −0.261511 | + | 0.321212i | |||||
−13.7937 | + | 13.7937i | −0.527802 | + | 0.527802i | −0.919916 | − | 0.392115i | ||
0.392115 | + | 0.919916i | ||||||||
−6.51272 | + | 1.34864i | −0.249020 | + | 0.0515665i | |||||
15.3872 | − | 12.9189i | 0.587913 | − | 0.493608i | |||||
−1.69818 | − | 16.5753i | −0.0648367 | − | 0.632849i | |||||
−3.14060 | − | 3.14060i | −0.119822 | − | 0.119822i | |||||
7.45114 | − | 18.8181i | 0.284072 | − | 0.717434i | |||||
11.4791i | 0.437319i | |||||||||
26.5076 | + | 25.7179i | 1.00913 | + | 0.979065i | |||||
− | 22.1562i | − | 0.842861i | −0.906861 | − | 0.421431i | ||||
0.906861 | − | 0.421431i | ||||||||
20.8835 | − | 31.7912i | 0.793870 | − | 1.20852i | |||||
5.33741 | + | 5.33741i | 0.202751 | + | 0.202751i | |||||
−0.884733 | + | 0.0906427i | −0.0335840 | + | 0.00344075i | |||||
−2.08471 | − | 0.181782i | −0.0790777 | − | 0.00689537i | |||||
19.0200 | + | 60.1445i | 0.720952 | + | 2.27977i | |||||
−7.48816 | + | 7.48816i | −0.283634 | + | 0.283634i | |||||
−12.2573 | − | 9.97917i | −0.463948 | − | 0.377717i | |||||
−51.3251 | −1.94129 | |||||||||
−22.0347 | + | 23.4092i | −0.832832 | + | 0.884783i | |||||
3.91585 | 0.147899 | 0.0739497 | − | 0.997262i | ||||||
0.0739497 | + | 0.997262i | ||||||||
1.69326 | + | 1.37854i | 0.0639078 | + | 0.0520298i | |||||
−2.76616 | + | 2.76616i | −0.104328 | + | 0.104328i | |||||
6.54536 | − | 4.59981i | 0.246688 | − | 0.173362i | |||||
−62.7936 | − | 5.47543i | −2.36494 | − | 0.206217i | |||||
−18.9452 | + | 1.94097i | −0.713011 | + | 0.0730495i | |||||
−18.9597 | − | 18.9597i | −0.713054 | − | 0.713054i | |||||
9.71057 | + | 6.37882i | 0.364946 | + | 0.239731i | |||||
14.8137i | 0.556341i | 0.960532 | + | 0.278170i | ||||||
−0.960532 | + | 0.278170i | ||||||||
−34.0150 | − | 33.0017i | −1.27656 | − | 1.23853i | |||||
33.2101i | 1.24548i | |||||||||
−6.13760 | + | 11.8149i | −0.230016 | + | 0.442781i | |||||
27.3149 | + | 27.3149i | 1.02295 | + | 1.02295i | |||||
1.39786 | + | 13.6440i | 0.0523135 | + | 0.510615i | |||||
−1.75341 | + | 1.47215i | −0.0655738 | + | 0.0550552i | |||||
−2.06035 | − | 9.94966i | −0.0769990 | − | 0.371836i | |||||
40.0965 | − | 40.0965i | 1.49743 | − | 1.49743i | |||||
−21.4286 | + | 26.3206i | −0.799710 | + | 0.982278i | |||||
10.4233 | 0.388724 | 0.194362 | − | 0.980930i | ||||||
0.194362 | + | 0.980930i | ||||||||
6.63411 | + | 19.9252i | 0.247239 | + | 0.742569i | |||||
41.1197 | 1.53138 | |||||||||
15.1735 | − | 18.6375i | 0.564700 | − | 0.693617i | |||||
9.02990 | − | 9.02990i | 0.335825 | − | 0.335825i | |||||
3.93269 | + | 18.9914i | 0.146157 | + | 0.705809i | |||||
−8.34582 | + | 47.4920i | −0.309956 | + | 1.76381i | |||||
−0.333320 | − | 3.25343i | −0.0123707 | − | 0.120746i | |||||
21.3788 | + | 21.3788i | 0.792897 | + | 0.792897i | 0.981964 | − | 0.189067i | ||
−0.189067 | + | 0.981964i | ||||||||
−4.29185 | + | 8.26180i | −0.159067 | + | 0.306203i | |||||
− | 14.2646i | − | 0.528319i | |||||||
−8.89775 | + | 0.134530i | −0.329321 | + | 0.00497919i | |||||
− | 6.60063i | − | 0.244133i | |||||||
13.7145 | + | 9.00897i | 0.506902 | + | 0.332981i | |||||
1.02633 | + | 1.02633i | 0.0379083 | + | 0.0379083i | 0.725807 | − | 0.687899i | ||
−0.687899 | + | 0.725807i | ||||||||
−21.3077 | + | 2.18302i | −0.786482 | + | 0.0805766i | |||||
11.0895 | + | 13.2081i | 0.409041 | + | 0.487190i | |||||
−13.9588 | − | 24.9270i | −0.514528 | − | 0.918821i | |||||
7.01754 | − | 7.01754i | 0.258495 | − | 0.258495i | |||||
20.9038 | + | 17.0186i | 0.769481 | + | 0.626464i | |||||
−5.29534 | −0.194792 | −0.0973961 | − | 0.995246i | ||||||
−0.0973961 | + | 0.995246i | ||||||||
9.69582 | + | 7.65293i | 0.356425 | + | 0.281327i | |||||
−3.35356 | −0.123196 | |||||||||
−39.5284 | − | 32.1816i | −1.45113 | − | 1.18142i | |||||
32.9662 | − | 32.9662i | 1.20941 | − | 1.20941i | 0.238196 | − | 0.971217i | ||
0.971217 | − | 0.238196i | ||||||||
15.0851 | + | 47.7015i | 0.553045 | + | 1.74882i | |||||
2.43353 | − | 27.9083i | 0.0891575 | − | 1.02248i | |||||
25.3655 | − | 2.59875i | 0.928697 | − | 0.0951469i | |||||
−7.92446 | − | 7.92446i | −0.289941 | − | 0.289941i | |||||
1.43242 | − | 2.18060i | 0.0523746 | − | 0.0797307i | |||||
2.11291i | 0.0772042i | |||||||||
−5.78343 | + | 36.1045i | −0.211181 | + | 1.31835i | |||||
− | 21.6289i | − | 0.789249i | −0.918842 | − | 0.394625i | ||||
0.918842 | − | 0.394625i | ||||||||
45.3332 | + | 17.9499i | 1.65313 | + | 0.654566i | |||||
−21.4342 | − | 21.4342i | −0.781107 | − | 0.781107i | |||||
1.42322 | + | 13.8916i | 0.0518307 | + | 0.505902i | |||||
2.25479 | − | 25.8584i | 0.0820601 | − | 0.941084i | |||||
−9.49406 | + | 1.96601i | −0.345295 | + | 0.0715030i | |||||
18.2612 | − | 18.2612i | 0.663714 | − | 0.663714i | −0.292539 | − | 0.956254i | ||
0.956254 | + | 0.292539i | ||||||||
10.6868 | − | 13.1265i | 0.388161 | − | 0.476776i | |||||
−11.6793 | −0.423932 | |||||||||
7.56029 | + | 4.80429i | 0.274240 | + | 0.174270i | |||||
10.6344 | 0.385497 | 0.192749 | − | 0.981248i | ||||||
0.192749 | + | 0.981248i | ||||||||
16.7828 | − | 20.6142i | 0.607976 | − | 0.746772i | |||||
−15.4226 | + | 15.4226i | −0.558336 | + | 0.558336i | |||||
12.9246 | − | 2.67641i | 0.467597 | − | 0.0968290i | |||||
4.40385 | + | 5.24522i | 0.159222 | + | 0.189641i | |||||
−0.0166631 | − | 0.162643i | −0.000602062 | − | 0.00587653i | |||||
1.81867 | + | 1.81867i | 0.0656683 | + | 0.0656683i | |||||
−1.16047 | − | 36.9828i | −0.0418748 | − | 1.33450i | |||||
− | 23.9199i | − | 0.862572i | −0.902215 | − | 0.431286i | ||||
0.902215 | − | 0.431286i | ||||||||
−0.153691 | − | 10.1650i | −0.00553864 | − | 0.366322i | |||||
67.5657i | 2.43332i | |||||||||
−11.1724 | + | 17.0079i | −0.402102 | + | 0.612126i | |||||
0.715023 | + | 0.715023i | 0.0257176 | + | 0.0257176i | 0.719849 | − | 0.694131i | ||
−0.694131 | + | 0.719849i | ||||||||
−16.7138 | + | 1.71237i | −0.600767 | + | 0.0615498i | |||||
−6.61919 | + | 37.6666i | −0.237768 | + | 1.35303i | |||||
1.18110 | − | 0.373511i | 0.0423992 | − | 0.0134083i | |||||
14.5200 | − | 14.5200i | 0.520900 | − | 0.520900i | |||||
14.3486 | + | 11.6817i | 0.514421 | + | 0.418809i | |||||
11.4977 | 0.411947 | |||||||||
1.23835 | + | 10.5164i | 0.0443400 | + | 0.376548i | |||||
14.9871 | 0.536280 | |||||||||
−7.22536 | − | 5.88244i | −0.258378 | − | 0.210356i | |||||
−10.2830 | + | 10.2830i | −0.367485 | + | 0.367485i | |||||
−5.29790 | − | 12.2435i | −0.189211 | − | 0.437268i | |||||
6.47664 | − | 5.43774i | 0.231161 | − | 0.194081i | |||||
58.8665 | − | 6.03100i | 2.09970 | − | 0.215119i | |||||
6.63240 | + | 6.63240i | 0.236420 | + | 0.236420i | 0.815366 | − | 0.578946i | ||
−0.578946 | + | 0.815366i | ||||||||
−35.2044 | − | 23.1256i | −1.25410 | − | 0.823814i | |||||
19.1733i | 0.682587i | |||||||||
31.1460 | − | 32.1023i | 1.10812 | − | 1.14215i | |||||
15.3122i | 0.544439i | |||||||||
−5.89324 | − | 3.06143i | −0.209407 | − | 0.108783i | |||||
2.56855 | + | 2.56855i | 0.0912119 | + | 0.0912119i | |||||
2.81713 | + | 27.4971i | 0.0999762 | + | 0.975834i | |||||
−57.7553 | − | 5.03611i | −2.04837 | − | 0.178613i | |||||
8.45112 | + | 40.8114i | 0.299542 | + | 1.44652i | |||||
2.54383 | − | 2.54383i | 0.0901071 | − | 0.0901071i | −0.660616 | − | 0.750724i | ||
0.750724 | + | 0.660616i | ||||||||
9.40167 | − | 11.5480i | 0.332815 | − | 0.408795i | |||||
15.9010 | 0.562538 | |||||||||
12.2740 | − | 25.4823i | 0.433951 | − | 0.900936i | |||||
11.0522 | 0.390510 | |||||||||
−26.6979 | + | 32.7929i | −0.942736 | + | 1.15796i | |||||
1.98983 | − | 1.98983i | 0.0702194 | − | 0.0702194i | |||||
−9.30763 | − | 44.9475i | −0.328255 | − | 1.58518i | |||||
−36.1678 | − | 3.15374i | −1.27475 | − | 0.111155i | |||||
1.12878 | + | 11.0176i | 0.0397595 | + | 0.388080i | |||||
−20.9848 | − | 20.9848i | −0.738698 | − | 0.738698i | |||||
20.9342 | + | 10.8749i | 0.736462 | + | 0.382578i | |||||
− | 6.12905i | − | 0.215486i | −0.994179 | − | 0.107743i | ||||
0.994179 | − | 0.107743i | ||||||||
−23.1893 | + | 23.9013i | −0.814790 | + | 0.839807i | |||||
16.4078i | 0.576156i | 0.957607 | + | 0.288078i | ||||||
−0.957607 | + | 0.288078i | ||||||||
−51.8258 | − | 34.0441i | −1.81873 | − | 1.19471i | |||||
−30.5672 | − | 30.5672i | −1.07204 | − | 1.07204i | |||||
−3.88576 | + | 0.398104i | −0.136196 | + | 0.0139535i | |||||
−12.4539 | + | 10.4562i | −0.436240 | + | 0.366264i | |||||
−4.79209 | − | 11.0746i | −0.167757 | − | 0.387688i | |||||
−5.06745 | + | 5.06745i | −0.177288 | + | 0.177288i | |||||
−28.0588 | − | 22.8437i | −0.981053 | − | 0.798712i | |||||
7.72849 | 0.270055 | |||||||||
−4.24568 | − | 36.0555i | −0.148266 | − | 1.25911i | |||||
1.10741 | 0.0386488 | 0.0193244 | − | 0.999813i | ||||||
0.0193244 | + | 0.999813i | ||||||||
22.7882 | + | 18.5528i | 0.794831 | + | 0.647102i | |||||
2.63390 | − | 2.63390i | 0.0918121 | − | 0.0918121i | −0.659709 | − | 0.751521i | ||
0.751521 | + | 0.659709i | ||||||||
−34.4936 | + | 10.9082i | −1.20164 | + | 0.380006i | |||||
−6.63763 | − | 9.46786i | −0.231093 | − | 0.329629i | |||||
−11.3612 | + | 1.16398i | −0.395307 | + | 0.0405000i | |||||
−23.9250 | − | 23.9250i | −0.831955 | − | 0.831955i | 0.155829 | − | 0.987784i | ||
−0.987784 | + | 0.155829i | ||||||||
−13.0208 | + | 19.8218i | −0.452506 | + | 0.688856i | |||||
7.35056i | 0.255296i | 0.991820 | + | 0.127648i | ||||||
−0.991820 | + | 0.127648i | ||||||||
0.228185 | + | 15.0920i | 0.00792043 | + | 0.523852i | |||||
20.8544i | 0.723431i | |||||||||
1.40857 | − | 8.06903i | 0.0488333 | − | 0.279743i | |||||
−3.07640 | − | 3.07640i | −0.106591 | − | 0.106591i | |||||
−0.311938 | − | 3.04472i | −0.0108015 | − | 0.105430i | |||||
20.7848 | + | 24.7559i | 0.719289 | + | 0.856712i | |||||
−2.77380 | + | 0.574393i | −0.0959340 | + | 0.0198658i | |||||
−8.15562 | + | 8.15562i | −0.281900 | + | 0.281900i | |||||
4.74226 | − | 5.82488i | 0.163819 | − | 0.201217i | |||||
−43.5458 | −1.50337 | −0.751684 | − | 0.659523i | ||||||
−0.751684 | + | 0.659523i | ||||||||
−39.6850 | − | 25.2184i | −1.36926 | − | 0.870117i | |||||
−64.0058 | −2.20710 | |||||||||
−12.8312 | + | 15.7605i | −0.442193 | + | 0.543143i | |||||
−27.1423 | + | 27.1423i | −0.934831 | + | 0.934831i | |||||
3.42401 | − | 0.709036i | 0.117859 | − | 0.0244060i | |||||
2.32152 | − | 26.6237i | 0.0798627 | − | 0.915884i | |||||
−4.12512 | − | 40.2639i | −0.141825 | − | 1.38430i | |||||
2.27323 | + | 2.27323i | 0.0781091 | + | 0.0781091i | |||||
41.6959 | + | 16.5097i | 1.43184 | + | 0.566946i | |||||
34.6944i | 1.19071i | |||||||||
0.662271 | − | 9.20039i | 0.0227157 | − | 0.315571i | |||||
13.9493i | 0.478176i | |||||||||
38.0574 | − | 57.9353i | 1.30382 | − | 1.98483i | |||||
37.1733 | + | 37.1733i | 1.27279 | + | 1.27279i | 0.944617 | + | 0.328174i | ||
0.328174 | + | 0.944617i | ||||||||
−16.0457 | + | 1.64392i | −0.549073 | + | 0.0562537i | |||||
0.645942 | − | 7.40782i | 0.0220908 | − | 0.253342i | |||||
−0.560513 | − | 1.77244i | −0.0191580 | − | 0.0605807i | |||||
−12.1732 | + | 12.1732i | −0.415830 | + | 0.415830i | −0.883763 | − | 0.467934i | ||
0.467934 | + | 0.883763i | ||||||||
−2.59678 | − | 2.11414i | −0.0886526 | − | 0.0721754i | |||||
−9.73794 | −0.332254 | −0.166127 | − | 0.986104i | ||||||
−0.166127 | + | 0.986104i | ||||||||
17.7622 | + | 14.0198i | 0.605687 | + | 0.478070i | |||||
−60.3529 | −2.05682 | |||||||||
−42.0882 | − | 34.2656i | −1.43353 | − | 1.16709i | |||||
9.20125 | − | 9.20125i | 0.313214 | − | 0.313214i | −0.532939 | − | 0.846154i | ||
0.846154 | + | 0.532939i | ||||||||
7.44263 | − | 4.16778i | 0.253203 | − | 0.141791i | |||||
27.3449 | + | 32.5693i | 0.929754 | + | 1.10739i | |||||
12.7001 | − | 1.30115i | 0.431565 | − | 0.0442148i | |||||
25.0162 | + | 25.0162i | 0.849594 | + | 0.849594i | |||||
−41.1038 | − | 27.0009i | −1.39515 | − | 0.916469i | |||||
14.1444i | 0.479815i | |||||||||
−70.5178 | + | 1.06620i | −2.39078 | + | 0.0361476i | |||||
− | 10.1613i | − | 0.344303i | |||||||
8.84609 | − | 17.0287i | 0.299566 | − | 0.576665i | |||||
−0.727132 | − | 0.727132i | −0.0246097 | − | 0.0246097i | |||||
1.03099 | + | 10.0632i | 0.0348738 | + | 0.340392i | |||||
−17.9984 | − | 31.1119i | −0.608459 | − | 1.05177i | |||||
−2.63918 | − | 12.7449i | −0.0891696 | − | 0.430610i | |||||
17.7574 | − | 17.7574i | 0.599624 | − | 0.599624i | −0.340588 | − | 0.940213i | ||
0.940213 | + | 0.340588i | ||||||||
−14.5888 | + | 17.9194i | −0.492349 | + | 0.604749i | |||||
−50.2303 | −1.69422 | |||||||||
2.82550 | + | 8.48626i | 0.0952477 | + | 0.286072i | |||||
27.2559 | 0.918274 | 0.459137 | − | 0.888365i | ||||||
0.459137 | + | 0.888365i | ||||||||
−6.99185 | + | 8.58804i | −0.235428 | + | 0.289175i | |||||
−8.06986 | + | 8.06986i | −0.271573 | + | 0.271573i | −0.829733 | − | 0.558160i | ||
0.558160 | + | 0.829733i | ||||||||
−0.541675 | − | 2.61581i | −0.0182185 | − | 0.0879791i | |||||
−9.94823 | + | 8.35245i | −0.334406 | + | 0.280765i | |||||
1.40086 | + | 13.6734i | 0.0470629 | + | 0.459366i | |||||
0.528230 | + | 0.528230i | 0.0177362 | + | 0.0177362i | 0.715919 | − | 0.698183i | ||
−0.698183 | + | 0.715919i | ||||||||
−8.32834 | + | 16.0320i | −0.279481 | + | 0.538000i | |||||
26.1299i | 0.876370i | |||||||||
−10.6835 | − | 10.3653i | −0.358112 | − | 0.347445i | |||||
− | 10.5310i | − | 0.352802i | |||||||
−9.48868 | − | 6.23306i | −0.317705 | − | 0.208698i | |||||
−12.2076 | − | 12.2076i | −0.408511 | − | 0.408511i | |||||
40.7599 | − | 4.17594i | 1.36322 | − | 0.139664i | |||||
11.3171 | + | 0.986823i | 0.378290 | + | 0.0329859i | |||||
23.8369 | + | 27.4719i | 0.796334 | + | 0.917770i | |||||
−8.45574 | + | 8.45574i | −0.282329 | + | 0.282329i | |||||
−4.87090 | − | 3.96558i | −0.162544 | − | 0.132333i | |||||
−73.7643 | −2.46018 | |||||||||
−23.4687 | + | 0.709835i | −0.782289 | + | 0.0236612i | |||||
14.6252 | 0.487236 | |||||||||
8.90305 | + | 7.24831i | 0.296439 | + | 0.241342i | |||||
26.5998 | − | 26.5998i | 0.885186 | − | 0.885186i | |||||
−4.06202 | − | 12.8448i | −0.135101 | − | 0.427211i | |||||
−21.6015 | − | 1.88359i | −0.718058 | − | 0.0626128i | |||||
37.7661 | − | 3.86922i | 1.25470 | − | 0.128546i | |||||
1.27942 | + | 1.27942i | 0.0424825 | + | 0.0424825i | 0.728029 | − | 0.685546i | ||
−0.685546 | + | 0.728029i | ||||||||
11.3992 | − | 17.3532i | 0.378296 | − | 0.575886i | |||||
− | 19.5828i | − | 0.649522i | |||||||
−7.47068 | − | 7.24814i | −0.247651 | − | 0.240274i | |||||
39.0054i | 1.29231i | 0.763208 | + | 0.646153i | ||||||
−0.763208 | + | 0.646153i | ||||||||
−4.82322 | + | 12.1812i | −0.159713 | + | 0.403360i | |||||
−3.37507 | − | 3.37507i | −0.111698 | − | 0.111698i | |||||
−2.41615 | − | 23.5832i | −0.0799191 | − | 0.780064i | |||||
−14.0501 | + | 11.7964i | −0.464483 | + | 0.389976i | |||||
−3.76138 | + | 0.778898i | −0.124280 | + | 0.0257355i | |||||
−41.1312 | + | 41.1312i | −1.35827 | + | 1.35827i | |||||
1.75636 | − | 2.15733i | 0.0579687 | − | 0.0712025i | |||||
44.5397 | 1.46923 | 0.734615 | − | 0.678484i | ||||||
0.734615 | + | 0.678484i | ||||||||
31.1763 | − | 6.94905i | 1.02785 | − | 0.229103i | |||||
3.19168 | 0.105169 | |||||||||
22.8481 | − | 28.0642i | 0.752463 | − | 0.924245i | |||||
10.8506 | − | 10.8506i | 0.357150 | − | 0.357150i | |||||
14.5601 | − | 3.01507i | 0.478992 | − | 0.0991885i | |||||
−11.3080 | + | 7.92772i | −0.371806 | + | 0.260662i | |||||
−3.34875 | − | 32.6860i | −0.110047 | − | 1.07413i | |||||
21.2355 | + | 21.2355i | 0.697467 | + | 0.697467i | |||||
52.5058 | + | 14.8098i | 1.72359 | + | 0.486157i | |||||
− | 38.4798i | − | 1.26248i | −0.775587 | − | 0.631241i | ||||
0.775587 | − | 0.631241i | ||||||||
−55.9287 | + | 0.845619i | −1.83397 | + | 0.0277289i | |||||
4.72365i | 0.154811i | |||||||||
−24.3705 | + | 37.0996i | −0.798283 | + | 1.21524i | |||||
8.68715 | + | 8.68715i | 0.284404 | + | 0.284404i | |||||
38.8635 | − | 3.98165i | 1.27165 | − | 0.130283i | |||||
1.87562 | + | 2.23397i | 0.0613394 | + | 0.0730586i | |||||
−6.48311 | + | 2.05021i | −0.211907 | + | 0.0670133i | |||||
−12.6310 | + | 12.6310i | −0.412637 | + | 0.412637i | −0.882656 | − | 0.470019i | ||
0.470019 | + | 0.882656i | ||||||||
34.9905 | + | 28.4871i | 1.14248 | + | 0.930138i | |||||
13.2885 | 0.433655 | |||||||||
−33.7739 | + | 42.7895i | −1.10158 | + | 1.39564i | |||||
−0.184281 | −0.00600739 | −0.00300370 | − | 0.999995i | ||||||
−0.00300370 | + | 0.999995i | ||||||||
9.59184 | + | 7.80908i | 0.312519 | + | 0.254434i | |||||
28.9905 | − | 28.9905i | 0.944060 | − | 0.944060i | |||||
9.22167 | − | 3.99031i | 0.300140 | − | 0.129874i | |||||
0.941636 | − | 10.7989i | 0.0306314 | − | 0.351288i | |||||
−7.11851 | + | 0.729306i | −0.231443 | + | 0.0237118i | |||||
29.9611 | + | 29.9611i | 0.973605 | + | 0.973605i | 0.999660 | − | 0.0260556i | ||
−0.0260556 | + | 0.999660i | ||||||||
54.6776 | + | 35.9174i | 1.77585 | + | 1.16654i | |||||
− | 2.88124i | − | 0.0935290i | |||||||
−7.57179 | + | 6.55491i | −0.245661 | + | 0.212669i | |||||
22.9417i | 0.743937i | |||||||||
10.5261 | + | 5.46813i | 0.341154 | + | 0.177223i | |||||
25.4062 | + | 25.4062i | 0.822988 | + | 0.822988i | 0.986535 | − | 0.163548i | ||
−0.163548 | + | 0.986535i | ||||||||
−3.79414 | − | 37.0334i | −0.122840 | − | 1.19900i | |||||
−1.28189 | + | 14.7010i | −0.0414809 | + | 0.475713i | |||||
−9.94429 | − | 48.0220i | −0.321621 | − | 1.55314i | |||||
15.7701 | − | 15.7701i | 0.509774 | − | 0.509774i | |||||
1.06634 | − | 1.30978i | 0.0344520 | − | 0.0423171i | |||||
−28.8857 | −0.932769 | |||||||||
39.9801 | + | 10.6270i | 1.29035 | + | 0.342986i | |||||
−27.5036 | −0.887212 | |||||||||
−2.52504 | + | 3.10149i | −0.0814106 | + | 0.0999960i | |||||
−1.09118 | + | 1.09118i | −0.0351627 | + | 0.0351627i | |||||
−2.23950 | − | 10.8148i | −0.0721293 | − | 0.348320i | |||||
−14.6291 | − | 17.4241i | −0.470929 | − | 0.560902i | |||||
−5.41182 | − | 52.8230i | −0.174123 | − | 1.69955i | |||||
14.3306 | + | 14.3306i | 0.460842 | + | 0.460842i | 0.898931 | − | 0.438089i | ||
−0.438089 | + | 0.898931i | ||||||||
−2.50996 | − | 1.30388i | −0.0806732 | − | 0.0419082i | |||||
4.27267i | 0.137258i | |||||||||
0.0209378 | + | 1.38481i | 0.000672273 | + | 0.0444637i | |||||
27.6798i | 0.888287i | 0.895956 | + | 0.444143i | ||||||
−0.895956 | + | 0.444143i | ||||||||
−33.1475 | − | 21.7744i | −1.06321 | − | 0.698415i | |||||
2.12740 | + | 2.12740i | 0.0682014 | + | 0.0682014i | |||||
6.45065 | − | 0.660882i | 0.206692 | − | 0.0211760i | |||||
−11.6603 | − | 2.04907i | −0.373427 | − | 0.0656227i | |||||
13.0240 | − | 5.63562i | 0.416888 | − | 0.180392i | |||||
−10.8893 | + | 10.8893i | −0.348381 | + | 0.348381i | −0.859506 | − | 0.511125i | ||
0.511125 | + | 0.859506i | ||||||||
−18.4441 | − | 15.0160i | −0.589776 | − | 0.480159i | |||||
4.70719 | 0.150443 | |||||||||
14.8129 | − | 1.74428i | 0.473180 | − | 0.0557189i | |||||
−15.9295 | −0.508589 | |||||||||
12.7363 | + | 10.3691i | 0.406431 | + | 0.330891i | |||||
−1.95471 | + | 1.95471i | −0.0623455 | + | 0.0623455i | −0.737592 | − | 0.675247i | ||
0.675247 | + | 0.737592i | ||||||||
50.6276 | − | 16.0104i | 1.61395 | − | 0.510393i | |||||
36.0660 | − | 30.2807i | 1.14916 | − | 0.964823i | |||||
17.6989 | − | 1.81329i | 0.563648 | − | 0.0577468i | |||||
64.0794 | + | 64.0794i | 2.03967 | + | 2.03967i | |||||
−1.59236 | + | 2.42407i | −0.0506597 | + | 0.0771200i | |||||
25.5544i | 0.812583i | |||||||||
5.17018 | − | 5.32892i | 0.164319 | − | 0.169364i | |||||
− | 0.700492i | − | 0.0222519i | −0.999938 | − | 0.0111259i | ||||
0.999938 | − | 0.0111259i | ||||||||
41.6431 | + | 11.7459i | 1.32217 | + | 0.372933i | |||||
−40.8834 | − | 40.8834i | −1.29740 | − | 1.29740i | |||||
6.94455 | + | 67.7834i | 0.220268 | + | 2.14996i | |||||
−46.4204 | − | 4.04774i | −1.47163 | − | 0.128322i | |||||
−21.6174 | + | 4.47648i | −0.684974 | + | 0.141843i | |||||
4.80082 | − | 4.80082i | 0.152044 | − | 0.152044i | −0.626987 | − | 0.779030i | ||
0.779030 | + | 0.626987i | ||||||||
−14.7778 | + | 18.1515i | −0.467785 | + | 0.574577i | |||||
−4.16495 | −0.131773 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 220.2.l.c.23.5 | ✓ | 28 | |
4.3 | odd | 2 | 220.2.l.d.23.3 | yes | 28 | ||
5.2 | odd | 4 | 220.2.l.d.67.3 | yes | 28 | ||
20.7 | even | 4 | inner | 220.2.l.c.67.5 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
220.2.l.c.23.5 | ✓ | 28 | 1.1 | even | 1 | trivial | |
220.2.l.c.67.5 | yes | 28 | 20.7 | even | 4 | inner | |
220.2.l.d.23.3 | yes | 28 | 4.3 | odd | 2 | ||
220.2.l.d.67.3 | yes | 28 | 5.2 | odd | 4 |