Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [357,2,Mod(10,357)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(357, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 8, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("357.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 357.bl (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 | 199.3 | ||
Character | 357.199 | ||
Dual form | 357.2.bl.a.61.3 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.34749 | + | 1.75608i | −0.952820 | + | 1.24174i | 0.0174830 | + | 0.999847i | ||
−0.970303 | + | 0.241892i | ||||||||
−0.997859 | + | 0.0654031i | −0.576114 | + | 0.0377605i | |||||
−0.750463 | − | 2.80077i | −0.375231 | − | 1.40038i | |||||
2.28911 | − | 0.777050i | 1.02372 | − | 0.347507i | 0.241430 | − | 0.970418i | ||
0.782293 | + | 0.622911i | ||||||||
1.22975 | − | 1.84045i | 0.502044 | − | 0.751363i | |||||
−2.05900 | + | 1.66148i | −0.778229 | + | 0.627981i | |||||
1.83962 | + | 0.761994i | 0.650402 | + | 0.269406i | |||||
0.991445 | − | 0.130526i | 0.330482 | − | 0.0435087i | |||||
−1.72000 | + | 5.06695i | −0.543911 | + | 1.60231i | |||||
−2.71359 | − | 5.50261i | −0.818178 | − | 1.65910i | −0.750010 | − | 0.661426i | ||
−0.0681672 | − | 0.997674i | ||||||||
0.932035 | + | 2.74569i | 0.269055 | + | 0.792611i | |||||
1.93919 | − | 1.93919i | 0.537834 | − | 0.537834i | −0.385058 | − | 0.922892i | ||
0.922892 | + | 0.385058i | ||||||||
−0.143218 | − | 5.85461i | −0.0382765 | − | 1.56471i | |||||
−2.23339 | + | 0.925101i | −0.576659 | + | 0.238860i | |||||
1.20520 | − | 0.695825i | 0.301301 | − | 0.173956i | |||||
2.42899 | − | 3.33167i | 0.589117 | − | 0.808048i | |||||
−1.10675 | + | 1.91694i | −0.260863 | + | 0.451828i | |||||
1.02425 | + | 0.785935i | 0.234979 | + | 0.180306i | 0.719539 | − | 0.694452i | ||
−0.484559 | + | 0.874758i | ||||||||
−3.89423 | − | 5.82813i | −0.870776 | − | 1.30321i | |||||
1.94593 | − | 1.79259i | 0.424636 | − | 0.391175i | |||||
13.3196 | + | 2.64943i | 2.83975 | + | 0.564861i | |||||
0.0873696 | − | 1.33300i | 0.0182178 | − | 0.277950i | −0.979025 | − | 0.203741i | ||
0.997243 | − | 0.0742094i | ||||||||
−1.88551 | − | 0.640046i | −0.384879 | − | 0.130649i | |||||
0.669471 | − | 0.513703i | 0.133894 | − | 0.102741i | |||||
0.792340 | + | 6.01842i | 0.155391 | + | 1.18031i | |||||
−0.980785 | + | 0.195090i | −0.188752 | + | 0.0375451i | |||||
6.19862 | + | 4.51990i | 1.17143 | + | 0.854180i | |||||
0.988225 | − | 4.96814i | 0.183509 | − | 0.922561i | −0.773786 | − | 0.633447i | ||
0.957295 | − | 0.289114i | ||||||||
1.38492 | − | 5.16859i | 0.252851 | − | 0.943651i | |||||
0.0580584 | + | 0.885800i | 0.0104276 | + | 0.159094i | 0.999897 | + | 0.0143522i | ||
−0.989469 | + | 0.144742i | ||||||||
−0.921878 | + | 7.00236i | −0.162967 | + | 1.23785i | |||||
3.06767 | + | 5.31335i | 0.534012 | + | 0.924936i | |||||
2.57765 | + | 8.75490i | 0.442063 | + | 1.50145i | |||||
−3.42223 | + | 5.40327i | −0.578463 | + | 0.913318i | |||||
−1.10962 | − | 2.67885i | −0.184936 | − | 0.446475i | |||||
6.73382 | + | 3.32075i | 1.10703 | + | 0.545928i | 0.901525 | − | 0.432727i | ||
0.205508 | + | 0.978655i | ||||||||
−2.76034 | + | 0.739630i | −0.447786 | + | 0.119984i | |||||
−1.80821 | + | 2.06187i | −0.289545 | + | 0.330163i | |||||
4.80320 | + | 0.314818i | 0.759452 | + | 0.0497771i | |||||
−0.303942 | − | 1.52802i | −0.0474678 | − | 0.238637i | 0.949766 | − | 0.312960i | ||
−0.997234 | + | 0.0743229i | ||||||||
0.525821 | + | 5.83271i | 0.0811359 | + | 0.900006i | |||||
0.638340 | − | 1.54109i | 0.0973460 | − | 0.235014i | −0.867703 | − | 0.497083i | ||
0.965049 | + | 0.262068i | ||||||||
−13.3751 | + | 11.7296i | −2.01637 | + | 1.76831i | |||||
2.16811 | − | 1.06919i | 0.323202 | − | 0.159386i | |||||
2.22314 | + | 1.94964i | 0.327783 | + | 0.287458i | |||||
5.59161 | + | 1.49827i | 0.815620 | + | 0.218545i | 0.642431 | − | 0.766344i | ||
0.173189 | + | 0.984889i | ||||||||
−1.15711 | + | 0.773159i | −0.167015 | + | 0.111596i | |||||
1.47896 | − | 6.84198i | 0.211280 | − | 0.977426i | |||||
1.86786i | 0.264155i | |||||||||
−2.20589 | + | 3.48340i | −0.308886 | + | 0.487773i | |||||
−6.88650 | − | 3.97592i | −0.954986 | − | 0.551361i | |||||
−0.446791 | − | 0.0588211i | −0.0613714 | − | 0.00807970i | 0.0997779 | − | 0.995010i | ||
−0.161149 | + | 0.986930i | ||||||||
0.979004 | − | 1.98522i | 0.133226 | − | 0.270155i | |||||
−10.4875 | − | 10.4875i | −1.41414 | − | 1.41414i | |||||
−5.05381 | + | 1.48754i | −0.675343 | + | 0.198781i | |||||
−1.07346 | − | 0.717263i | −0.142183 | − | 0.0950039i | |||||
7.39286 | + | 8.42994i | 0.970730 | + | 1.10691i | |||||
−4.87522 | − | 6.35351i | −0.634700 | − | 0.827157i | 0.359675 | − | 0.933078i | ||
−0.994375 | + | 0.105921i | ||||||||
4.26707 | + | 5.56095i | 0.550876 | + | 0.717916i | |||||
−5.24003 | − | 5.97511i | −0.670917 | − | 0.765034i | 0.311800 | − | 0.950148i | ||
−0.982717 | + | 0.185114i | ||||||||
−1.63377 | − | 1.09165i | −0.207489 | − | 0.138640i | |||||
−1.82452 | + | 1.91602i | −0.229868 | + | 0.241396i | |||||
−9.08642 | − | 9.08642i | −1.13580 | − | 1.13580i | |||||
2.93218 | − | 5.94587i | 0.363692 | − | 0.737494i | |||||
−13.4644 | − | 1.77262i | −1.65735 | − | 0.218194i | |||||
11.9999 | + | 6.92817i | 1.46603 | + | 0.846411i | 0.999279 | − | 0.0379788i | ||
0.466749 | + | 0.884390i | ||||||||
−11.1541 | − | 4.30274i | −1.35263 | − | 0.521784i | |||||
1.33586i | 0.160819i | |||||||||
−4.87716 | − | 13.2906i | −0.582932 | − | 1.58853i | |||||
6.51440 | − | 4.35279i | 0.773118 | − | 0.516581i | −0.105320 | − | 0.994438i | ||
0.878437 | + | 0.477858i | ||||||||
1.92334 | + | 0.515357i | 0.226668 | + | 0.0607354i | |||||
−0.689539 | − | 0.604709i | −0.0807044 | − | 0.0707759i | 0.618043 | − | 0.786144i | ||
−0.698748 | + | 0.715368i | ||||||||
−14.9053 | + | 7.35047i | −1.73270 | + | 0.854475i | |||||
−0.634440 | + | 0.556389i | −0.0732588 | + | 0.0642462i | |||||
1.43256 | − | 3.45850i | 0.164326 | − | 0.396717i | |||||
14.7298 | + | 6.82130i | 1.67861 | + | 0.777360i | |||||
−1.18427 | − | 5.95371i | −0.134092 | − | 0.674125i | |||||
−8.69432 | − | 0.569856i | −0.978187 | − | 0.0641138i | −0.432085 | − | 0.901833i | ||
−0.546102 | + | 0.837719i | ||||||||
2.21816 | − | 2.52932i | 0.247998 | − | 0.282787i | |||||
0.965926 | − | 0.258819i | 0.107325 | − | 0.0287577i | |||||
3.09289 | + | 1.52525i | 0.341553 | + | 0.168435i | |||||
−5.67933 | − | 13.7111i | −0.623387 | − | 1.50499i | −0.847702 | − | 0.530473i | ||
0.224314 | − | 0.974517i | ||||||||
−6.48097 | − | 4.10481i | −0.707131 | − | 0.447871i | |||||
2.97136 | − | 9.51401i | 0.322290 | − | 1.03194i | |||||
1.84613 | + | 3.19759i | 0.199073 | + | 0.344805i | |||||
−0.661177 | + | 5.02214i | −0.0708856 | + | 0.538430i | |||||
−0.799003 | − | 12.1904i | −0.0851740 | − | 1.29950i | |||||
−2.81219 | + | 10.4953i | −0.298092 | + | 1.11249i | 0.640639 | + | 0.767843i | ||
−0.938731 | + | 0.344652i | ||||||||
−1.04391 | + | 5.24810i | −0.110038 | + | 0.553199i | |||||
−0.770864 | + | 7.21472i | −0.0808085 | + | 0.756308i | |||||
−3.79900 | + | 0.755667i | −0.396073 | + | 0.0787838i | |||||
−0.115868 | − | 0.880106i | −0.0120150 | − | 0.0912628i | |||||
−10.1657 | + | 7.80044i | −1.04851 | + | 0.804554i | |||||
2.95534 | + | 1.00320i | 0.303211 | + | 0.102926i | |||||
0.461928 | − | 7.04766i | 0.0471453 | − | 0.719299i | |||||
−8.60161 | − | 1.71097i | −0.873361 | − | 0.173722i | −0.261994 | − | 0.965070i | ||
−0.611367 | + | 0.791347i | ||||||||
10.0222 | + | 11.8167i | 1.01240 | + | 1.19367i | |||||
−3.40861 | − | 5.10134i | −0.342578 | − | 0.512704i | |||||
−1.94118 | − | 1.48952i | −0.194118 | − | 0.148952i | |||||
9.08141 | − | 15.7295i | 0.903634 | − | 1.56514i | 0.0808933 | − | 0.996723i | ||
0.822741 | − | 0.568417i | ||||||||
−3.14473 | − | 8.56757i | −0.311374 | − | 0.848316i | |||||
−14.4466 | + | 8.34076i | −1.42347 | + | 0.821839i | −0.996593 | − | 0.0824722i | ||
−0.426874 | + | 0.904311i | ||||||||
5.04501 | − | 2.08971i | 0.494704 | − | 0.204913i | |||||
3.06151 | − | 5.61552i | 0.298773 | − | 0.548019i | |||||
0.705342 | − | 0.705342i | 0.0685088 | − | 0.0685088i | |||||
−5.01876 | − | 14.7848i | −0.485182 | − | 1.42930i | −0.863842 | − | 0.503764i | ||
0.378660 | − | 0.925536i | ||||||||
1.28245 | + | 2.60054i | 0.123403 | + | 0.250237i | |||||
3.02681 | − | 8.91668i | 0.289915 | − | 0.854063i | −0.700217 | − | 0.713930i | ||
0.990133 | − | 0.140133i | ||||||||
32.5488 | − | 4.28513i | 3.10341 | − | 0.408571i | |||||
−6.93659 | − | 2.87323i | −0.658392 | − | 0.272715i | |||||
−1.32541 | + | 3.43513i | −0.125240 | + | 0.324589i | |||||
−10.5293 | + | 15.7583i | −0.990518 | + | 1.48241i | −0.118491 | + | 0.992955i | ||
−0.872026 | + | 0.489459i | ||||||||
2.70605 | − | 0.918582i | 0.253445 | − | 0.0860330i | |||||
−0.835810 | − | 3.11929i | −0.0779397 | − | 0.290875i | |||||
−14.6562 | + | 0.960620i | −1.36080 | + | 0.0891914i | |||||
1.66948 | − | 2.17571i | 0.154344 | − | 0.201145i | |||||
17.7266 | 1.63187 | |||||||||
0.534213 | + | 10.8956i | 0.0489712 | + | 0.998800i | |||||
−4.81350 | −0.439411 | |||||||||
−16.2188 | + | 21.1368i | −1.47444 | + | 1.92152i | |||||
17.5537 | − | 1.15053i | 1.58924 | − | 0.104164i | |||||
0.403229 | + | 1.50487i | 0.0363579 | + | 0.135690i | |||||
2.43735 | − | 0.827368i | 0.218880 | − | 0.0742998i | |||||
−5.58187 | + | 8.35386i | −0.499258 | + | 0.747192i | |||||
−0.906172 | − | 5.78583i | −0.0807282 | − | 0.515443i | |||||
17.9361 | + | 7.42939i | 1.59157 | + | 0.659252i | 0.990192 | − | 0.139710i | ||
0.601382 | + | 0.798962i | ||||||||
14.1957 | − | 1.86890i | 1.25473 | − | 0.165189i | |||||
−0.536182 | + | 1.57954i | −0.0472082 | + | 0.139071i | |||||
6.49037 | + | 13.1612i | 0.569243 | + | 1.15431i | |||||
2.73766 | + | 8.06490i | 0.239191 | + | 0.704633i | 0.998543 | + | 0.0539540i | ||
−0.759353 | + | 0.650679i | ||||||||
12.5793 | − | 12.5793i | 1.09489 | − | 1.09489i | |||||
−3.41475 | + | 0.0835328i | −0.296096 | + | 0.00724322i | |||||
−28.3363 | + | 11.7373i | −2.44788 | + | 1.01395i | |||||
−2.09353 | + | 1.20870i | −0.180183 | + | 0.104029i | |||||
7.00712 | − | 4.27811i | 0.600856 | − | 0.366845i | |||||
0.365057 | − | 0.632298i | 0.0311889 | − | 0.0540208i | −0.850010 | − | 0.526767i | ||
0.881199 | + | 0.472746i | ||||||||
−2.34589 | − | 1.80006i | −0.199695 | − | 0.153232i | |||||
−5.33575 | − | 7.98552i | −0.452573 | − | 0.677323i | 0.533088 | − | 0.846060i | ||
−0.985661 | + | 0.168736i | ||||||||
17.7015 | + | 5.52992i | 1.49605 | + | 0.467364i | |||||
−5.67763 | − | 1.12935i | −0.478142 | − | 0.0951084i | |||||
−1.13424 | + | 17.3052i | −0.0951835 | + | 1.45222i | |||||
−15.9328 | − | 5.40844i | −1.33236 | − | 0.452277i | |||||
1.10407 | − | 0.847182i | 0.0920058 | − | 0.0705985i | |||||
−1.59833 | − | 12.1405i | −0.132734 | − | 1.00822i | |||||
1.99107 | − | 0.396048i | 0.164782 | − | 0.0327772i | |||||
−1.02831 | + | 6.92406i | −0.0848133 | + | 0.571087i | |||||
4.24717 | − | 21.3519i | 0.349115 | − | 1.75512i | |||||
−2.73968 | + | 10.2246i | −0.224443 | + | 0.837633i | 0.758184 | + | 0.652041i | ||
−0.982627 | + | 0.185592i | ||||||||
−0.122164 | − | 1.86386i | −0.00997463 | − | 0.152183i | |||||
1.87872 | − | 14.2703i | 0.152888 | − | 1.16130i | −0.727179 | − | 0.686448i | ||
0.880067 | − | 0.474850i | ||||||||
1.28535 | + | 2.22629i | 0.104256 | + | 0.180576i | |||||
1.97334 | − | 3.62021i | 0.159535 | − | 0.292677i | |||||
−31.8270 | + | 16.6751i | −2.56469 | + | 1.34372i | |||||
0.821213 | + | 1.98258i | 0.0659614 | + | 0.159245i | |||||
7.13180 | + | 3.51701i | 0.571001 | + | 0.281586i | |||||
−2.53682 | + | 0.679739i | −0.202460 | + | 0.0542490i | −0.358624 | − | 0.933482i | ||
0.156164 | + | 0.987731i | ||||||||
12.7162 | − | 14.5001i | 1.01165 | − | 1.15356i | |||||
0.449681 | + | 0.0294737i | 0.0356620 | + | 0.00233741i | |||||
3.33090 | + | 16.7455i | 0.263330 | + | 1.32385i | |||||
2.03486 | + | 2.88982i | 0.160370 | + | 0.227749i | |||||
−0.847068 | + | 2.04500i | −0.0665520 | + | 0.160671i | |||||
−0.579611 | + | 0.508305i | −0.0453986 | + | 0.0398135i | −0.681745 | − | 0.731590i | ||
0.636346 | + | 0.771404i | ||||||||
−4.05153 | + | 1.99799i | −0.316371 | + | 0.156017i | |||||
11.1510 | + | 9.77914i | 0.868102 | + | 0.761305i | |||||
31.7307 | + | 8.50222i | 2.46278 | + | 0.659900i | |||||
−7.64667 | + | 5.10934i | −0.591717 | + | 0.395373i | −0.815068 | − | 0.579365i | ||
0.223351 | + | 0.974738i | ||||||||
4.94570 | − | 1.81489i | 0.381569 | − | 0.140022i | |||||
5.47909i | 0.421469i | |||||||||
12.7035 | + | 18.0380i | 0.974316 | + | 1.38345i | |||||
1.11807 | + | 0.645520i | 0.0855012 | + | 0.0493642i | |||||
−4.79528 | − | 0.631311i | −0.365637 | − | 0.0481370i | |||||
4.22030 | − | 8.55793i | 0.320864 | − | 0.650647i | −0.675358 | − | 0.737490i | ||
0.996222 | + | 0.0868425i | ||||||||
−7.92837 | − | 7.92837i | −0.601048 | − | 0.601048i | |||||
−0.524933 | + | 2.17003i | −0.0396812 | + | 0.164039i | |||||
−7.09928 | − | 4.74359i | −0.535128 | − | 0.357561i | |||||
5.28032 | + | 6.02105i | 0.396893 | + | 0.452570i | |||||
−14.6411 | − | 19.0807i | −1.09740 | − | 1.43016i | |||||
14.3875 | + | 18.7502i | 1.07537 | + | 1.40146i | 0.909696 | + | 0.415276i | ||
0.165679 | + | 0.986180i | ||||||||
−4.62164 | − | 5.26997i | −0.344476 | − | 0.392800i | |||||
5.57542 | + | 3.72538i | 0.414418 | + | 0.276905i | 0.745251 | − | 0.666784i | ||
−0.330833 | + | 0.943689i | ||||||||
−11.6309 | − | 11.0755i | −0.862141 | − | 0.820968i | |||||
5.61960 | + | 5.61960i | 0.415413 | + | 0.415413i | |||||
1.17647 | − | 2.38564i | 0.0867303 | − | 0.175872i | |||||
17.9949 | + | 2.36907i | 1.32301 | + | 0.174177i | |||||
1.70167 | + | 0.982461i | 0.124773 | + | 0.0720375i | |||||
−24.9242 | − | 4.32502i | −1.82263 | − | 0.316277i | |||||
− | 16.7852i | − | 1.22418i | |||||||
1.69530 | − | 2.03125i | 0.123315 | − | 0.147751i | |||||
−5.74400 | + | 3.83802i | −0.416714 | + | 0.278439i | |||||
11.8532 | + | 3.17607i | 0.857671 | + | 0.229812i | 0.660749 | − | 0.750607i | ||
0.196922 | + | 0.980419i | ||||||||
9.66125 | + | 8.47269i | 0.697241 | + | 0.611464i | |||||
13.9900 | − | 6.89910i | 1.00702 | − | 0.496608i | 0.137499 | − | 0.990502i | ||
0.869522 | + | 0.493894i | ||||||||
14.5952 | − | 12.7996i | 1.04787 | − | 0.918960i | |||||
−2.53702 | + | 6.12491i | −0.181680 | + | 0.438614i | |||||
−20.2727 | + | 0.992429i | −1.44805 | + | 0.0708878i | |||||
1.04189 | + | 5.23793i | 0.0742316 | + | 0.373187i | 0.999988 | − | 0.00493346i | ||
−0.925756 | + | 0.378121i | ||||||||
13.5515 | + | 0.888210i | 0.963060 | + | 0.0631223i | |||||
12.0511 | − | 13.7416i | 0.854277 | − | 0.974117i | −0.145607 | − | 0.989343i | ||
0.999884 | + | 0.0152258i | ||||||||
1.62301 | − | 0.434884i | 0.114764 | − | 0.0307509i | |||||
−12.4274 | − | 6.12851i | −0.876560 | − | 0.432271i | |||||
15.3851 | + | 37.1430i | 1.08250 | + | 2.61337i | |||||
6.21972 | + | 11.8713i | 0.436539 | + | 0.833204i | |||||
11.4116 | + | 3.56401i | 0.798973 | + | 0.249531i | |||||
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4.81961 | − | 36.6086i | 0.335798 | − | 2.55064i | |||||
−0.0873696 | − | 1.33300i | −0.00607261 | − | 0.0926501i | |||||
0.987782 | − | 3.68645i | 0.0684903 | − | 0.255609i | |||||
1.54530 | − | 7.76876i | 0.106891 | − | 0.537376i | |||||
5.73597 | + | 12.9431i | 0.395819 | + | 0.893162i | |||||
4.67480 | − | 0.929876i | 0.321827 | − | 0.0640153i | −0.0315333 | − | 0.999503i | ||
0.353360 | + | 0.935487i | ||||||||
0.170556 | + | 1.29550i | 0.0117138 | + | 0.0889753i | |||||
−6.21577 | + | 4.76953i | −0.425898 | + | 0.326803i | |||||
32.7261 | + | 11.1090i | 2.23711 | + | 0.759396i | |||||
0.263731 | − | 4.02375i | 0.0179863 | − | 0.274418i | |||||
−1.95293 | − | 0.388461i | −0.132880 | − | 0.0264314i | |||||
−1.59128 | − | 1.72740i | −0.108023 | − | 0.117263i | |||||
11.5799 | + | 17.3305i | 0.784287 | + | 1.17377i | |||||
0.727612 | + | 0.558317i | 0.0491675 | + | 0.0377275i | |||||
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14.3926 | − | 8.30958i | 0.965969 | − | 0.557703i | |||||
12.7830 | − | 5.29489i | 0.856013 | − | 0.354572i | 0.0888659 | − | 0.996044i | ||
0.767147 | + | 0.641472i | ||||||||
−9.73614 | − | 15.9495i | −0.650523 | − | 1.06567i | |||||
0.596692 | − | 0.596692i | 0.0397795 | − | 0.0397795i | |||||
−13.4847 | − | 39.7246i | −0.896987 | − | 2.64244i | |||||
6.38390 | + | 12.9453i | 0.423714 | + | 0.859207i | 0.999144 | + | 0.0413566i | ||
−0.575430 | + | 0.817851i | ||||||||
−1.20329 | + | 3.54479i | −0.0796901 | + | 0.234760i | |||||
9.43192 | − | 1.24174i | 0.623279 | − | 0.0820562i | 0.187729 | − | 0.982221i | ||
0.435550 | + | 0.900165i | ||||||||
6.60398 | + | 2.73546i | 0.435453 | + | 0.180371i | |||||
−15.1444 | − | 5.84332i | −0.996426 | − | 0.384463i | |||||
5.60365 | − | 8.38646i | 0.367898 | − | 0.550598i | |||||
9.95588 | − | 3.37956i | 0.652231 | − | 0.221403i | 0.0243399 | − | 0.999704i | ||
0.627891 | + | 0.778301i | ||||||||
1.57112 | + | 5.86351i | 0.102708 | + | 0.383310i | |||||
13.9641 | − | 0.915253i | 0.910915 | − | 0.0597045i | |||||
−14.1360 | + | 18.4224i | −0.920177 | + | 1.19920i | |||||
8.71297 | 0.565968 | |||||||||
−19.8535 | − | 13.7436i | −1.28691 | − | 0.890867i | |||||
−2.10674 | −0.136274 | −0.0681368 | − | 0.997676i | ||||||
−0.0681368 | + | 0.997676i | ||||||||
−2.04798 | + | 2.66898i | −0.132197 | + | 0.172282i | |||||
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0.0560582 | + | 0.998428i | ||||||||
−15.2632 | − | 56.9632i | −0.981158 | − | 3.66173i | |||||
−0.946930 | + | 0.321439i | −0.0607456 | + | 0.0206204i | |||||
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−1.93105 | − | 16.8113i | −0.123370 | − | 1.07403i | |||||
−3.18603 | − | 1.31970i | −0.203134 | − | 0.0841407i | |||||
3.51029 | − | 0.462139i | 0.223355 | − | 0.0294052i | |||||
−0.568169 | + | 1.67377i | −0.0360788 | + | 0.106285i | |||||
6.56392 | + | 13.3103i | 0.415971 | + | 0.843507i | |||||
−7.14856 | − | 21.0590i | −0.452115 | − | 1.33189i | |||||
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−0.904791 | + | 0.425856i | ||||||||
6.73556 | + | 3.67215i | 0.424300 | + | 0.231323i | |||||
−7.57208 | + | 3.13646i | −0.476053 | + | 0.197187i | |||||
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−2.34276 | + | 9.68798i | −0.146709 | + | 0.606685i | |||||
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−0.994421 | + | 0.105488i | ||||||||
−2.05131 | − | 3.07000i | −0.127709 | − | 0.191130i | |||||
−19.3823 | + | 4.35068i | −1.20436 | + | 0.270338i | |||||
−18.8535 | − | 3.75019i | −1.16924 | − | 0.232577i | |||||
0.331298 | − | 5.05463i | 0.0205068 | − | 0.312874i | |||||
−17.8516 | − | 6.05981i | −1.10288 | − | 0.374376i | |||||
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−0.139511 | + | 0.990221i | ||||||||
1.59458 | + | 12.1121i | 0.0981399 | + | 0.745447i | |||||
−1.06846 | + | 0.212530i | −0.0656351 | + | 0.0130556i | |||||
4.45465 | − | 6.10915i | 0.273132 | − | 0.374576i | |||||
2.11975 | − | 10.6567i | 0.129727 | − | 0.652180i | |||||
10.3987 | − | 38.8084i | 0.635200 | − | 2.37060i | |||||
1.01239 | + | 15.4461i | 0.0617266 | + | 0.941766i | 0.910631 | + | 0.413220i | ||
−0.848905 | + | 0.528546i | ||||||||
0.698435 | − | 5.30514i | 0.0425054 | − | 0.322861i | |||||
9.91021 | + | 17.1650i | 0.602003 | + | 1.04270i | 0.992517 | + | 0.122102i | ||
−0.390515 | + | 0.920597i | ||||||||
0.609171 | − | 5.70549i | 0.0369364 | − | 0.345946i | |||||
0.297348 | − | 7.24968i | 0.0179963 | − | 0.438771i | |||||
0.618457 | + | 1.49309i | 0.0373624 | + | 0.0902007i | |||||
−4.64338 | − | 2.28986i | −0.280006 | − | 0.138084i | |||||
3.74144 | − | 1.00252i | 0.225208 | − | 0.0603443i | |||||
−20.6904 | + | 23.5929i | −1.24317 | + | 1.41756i | −0.370796 | + | 0.928714i | ||
−0.872370 | + | 0.488846i | ||||||||
21.2131 | + | 1.39038i | 1.27228 | + | 0.0833896i | |||||
0.173182 | + | 0.870644i | 0.0103681 | + | 0.0521241i | |||||
−10.4128 | + | 7.33221i | −0.622287 | + | 0.438184i | |||||
0.200758 | − | 0.484673i | 0.0119762 | − | 0.0289131i | −0.917778 | − | 0.397093i | ||
0.929755 | + | 0.368180i | ||||||||
9.63379 | − | 8.44860i | 0.573684 | − | 0.503107i | |||||
14.1320 | − | 6.96914i | 0.840062 | − | 0.414273i | 0.0292447 | − | 0.999572i | ||
0.810817 | + | 0.585300i | ||||||||
−17.0800 | − | 14.9787i | −1.01351 | − | 0.888823i | |||||
−3.01462 | − | 0.807766i | −0.178571 | − | 0.0478479i | |||||
30.9669 | − | 20.6915i | 1.83111 | − | 1.22351i | |||||
3.16459 | + | 2.64120i | 0.186800 | + | 0.155905i | |||||
7.06278i | 0.416178i | |||||||||
−5.20001 | − | 16.1852i | −0.305883 | − | 0.952069i | |||||
23.4736 | + | 13.5525i | 1.37842 | + | 0.795829i | |||||
8.69509 | + | 1.14473i | 0.509715 | + | 0.0671053i | |||||
−1.17618 | + | 2.38505i | −0.0688305 | + | 0.139574i | |||||
7.59491 | + | 7.59491i | 0.443699 | + | 0.443699i | 0.893253 | − | 0.449554i | ||
−0.449554 | + | 0.893253i | ||||||||
−10.7736 | − | 11.1359i | −0.628329 | − | 0.649459i | |||||
−16.0969 | − | 10.7556i | −0.937200 | − | 0.626217i | |||||
9.85724 | + | 11.2400i | 0.572941 | + | 0.653314i | |||||
3.73495 | + | 4.86749i | 0.216724 | + | 0.282440i | |||||
−14.2636 | − | 18.5887i | −0.826268 | − | 1.07681i | |||||
−2.41552 | − | 2.75437i | −0.139693 | − | 0.159289i | |||||
2.03444 | + | 1.35937i | 0.117458 | + | 0.0784832i | |||||
1.24615 | + | 4.23370i | 0.0718269 | + | 0.244026i | |||||
22.5282 | + | 22.5282i | 1.29636 | + | 1.29636i | |||||
−8.03321 | + | 16.2897i | −0.461496 | + | 0.935821i | |||||
1.78130 | + | 0.234513i | 0.102165 | + | 0.0134502i | |||||
−16.6380 | − | 9.60594i | −0.952688 | − | 0.550035i | |||||
3.69834 | + | 8.34355i | 0.211420 | + | 0.476969i | |||||
7.74112i | 0.441809i | 0.975295 | + | 0.220905i | ||||||
−0.975295 | + | 0.220905i | ||||||||
8.05073 | − | 46.3738i | 0.458733 | − | 2.64239i | |||||
13.8702 | − | 9.26775i | 0.789046 | − | 0.527224i | |||||
−4.58816 | − | 1.22939i | −0.260590 | − | 0.0698249i | |||||
−4.25998 | − | 3.73590i | −0.241561 | − | 0.211843i | 0.530002 | − | 0.847997i | ||
−0.771563 | + | 0.636153i | ||||||||
−4.89754 | + | 2.41520i | −0.277268 | + | 0.136734i | |||||
−2.39176 | + | 2.09752i | −0.135190 | + | 0.118559i | −0.724271 | − | 0.689516i | ||
0.589080 | + | 0.808074i | ||||||||
2.22466 | − | 5.37081i | 0.125545 | − | 0.303092i | |||||
−2.68769 | + | 5.80373i | −0.151434 | + | 0.327003i | |||||
4.92873 | + | 24.7784i | 0.277263 | + | 1.39389i | |||||
3.05688 | + | 0.200358i | 0.171691 | + | 0.0112533i | 0.151006 | − | 0.988533i | ||
0.0206851 | + | 0.999786i | ||||||||
−0.657700 | + | 0.749963i | −0.0368820 | + | 0.0420558i | |||||
−30.0194 | + | 8.04368i | −1.68076 | + | 0.450359i | |||||
−27.8605 | − | 13.7393i | −1.55745 | − | 0.768048i | |||||
5.97499 | + | 14.4249i | 0.333491 | + | 0.805119i | |||||
−7.81672 | − | 0.320606i | −0.435609 | − | 0.0178666i | |||||
5.10637 | − | 1.50343i | 0.284126 | − | 0.0836533i | |||||
−1.44978 | − | 2.51110i | −0.0805435 | − | 0.139505i | |||||
0.302063 | − | 2.29440i | 0.0167555 | − | 0.127270i | |||||
−0.111606 | − | 1.70278i | −0.00618130 | − | 0.0943083i | |||||
−2.43715 | + | 9.09555i | −0.134774 | + | 0.502985i | |||||
0.605205 | − | 3.04257i | 0.0334169 | − | 0.167998i | |||||
−14.0025 | + | 6.20542i | −0.771981 | + | 0.342116i | |||||
−32.1988 | + | 6.40475i | −1.77249 | + | 0.352570i | |||||
1.82591 | + | 13.8692i | 0.100361 | + | 0.762320i | 0.965429 | + | 0.260665i | ||
−0.865068 | + | 0.501655i | ||||||||
−34.1395 | + | 26.1962i | −1.87365 | + | 1.43770i | |||||
7.10965 | + | 2.41340i | 0.389607 | + | 0.132254i | |||||
1.33138 | − | 20.3130i | 0.0728501 | − | 1.11148i | |||||
32.8528 | + | 6.53483i | 1.79494 | + | 0.357036i | |||||
1.09791 | − | 3.51446i | 0.0598958 | − | 0.191729i | |||||
8.72820 | + | 13.0627i | 0.475455 | + | 0.711569i | 0.989232 | − | 0.146355i | ||
−0.513777 | + | 0.857924i | ||||||||
−9.62175 | − | 7.38303i | −0.523354 | − | 0.401584i | |||||
9.47616 | − | 16.4132i | 0.514674 | − | 0.891442i | |||||
−28.8764 | − | 1.18218i | −1.56604 | − | 0.0641129i | |||||
4.71667 | − | 2.72317i | 0.255422 | − | 0.147468i | |||||
−2.64018 | + | 1.09360i | −0.142765 | + | 0.0591351i | |||||
8.32264 | + | 16.5449i | 0.449380 | + | 0.893341i | |||||
2.34860 | − | 2.34860i | 0.126628 | − | 0.126628i | |||||
1.03803 | + | 3.05794i | 0.0558857 | + | 0.164634i | |||||
9.34163 | + | 18.9429i | 0.502209 | + | 1.01838i | |||||
2.34337 | − | 6.90334i | 0.125799 | − | 0.370591i | −0.865725 | − | 0.500521i | ||
0.991523 | + | 0.129930i | ||||||||
14.5620 | − | 1.91713i | 0.780607 | − | 0.102769i | |||||
5.71825 | + | 2.36858i | 0.306091 | + | 0.126787i | 0.530442 | − | 0.847721i | ||
−0.224351 | + | 0.974508i | ||||||||
−3.10341 | − | 3.84592i | −0.165884 | − | 0.205573i | |||||
−1.52361 | + | 2.28024i | −0.0813243 | + | 0.121710i | |||||
41.0329 | − | 13.9288i | 2.18706 | − | 0.742406i | |||||
−6.07275 | − | 22.6638i | −0.323220 | − | 1.20627i | −0.916089 | − | 0.400974i | ||
0.592870 | − | 0.805299i | ||||||||
−17.6887 | + | 1.15938i | −0.940142 | + | 0.0616202i | |||||
11.5299 | − | 15.0260i | 0.611943 | − | 0.797499i | |||||
31.5052 | 1.66977 | |||||||||
−1.24568 | − | 10.8374i | −0.0659282 | − | 0.573574i | |||||
−52.3140 | −2.76488 | |||||||||
−6.07780 | + | 7.92075i | −0.320774 | + | 0.418041i | −0.925711 | − | 0.378233i | ||
0.604936 | + | 0.796274i | ||||||||
4.80320 | − | 0.314818i | 0.253151 | − | 0.0165924i | |||||
−4.48617 | − | 16.7426i | −0.236114 | − | 0.881189i | |||||
−14.0549 | + | 4.77100i | −0.738709 | + | 0.250758i | |||||
14.8017 | − | 22.1523i | 0.776886 | − | 1.16269i | |||||
20.7852 | − | 3.25537i | 1.08944 | − | 0.170628i | |||||
−2.04832 | − | 0.848443i | −0.107214 | − | 0.0444095i | |||||
−17.4409 | + | 2.29613i | −0.911648 | + | 0.120021i | |||||
2.48091 | − | 7.30853i | 0.129502 | − | 0.381502i | −0.862767 | − | 0.505601i | ||
0.992270 | + | 0.124099i | ||||||||
−0.822238 | − | 1.66733i | −0.0428621 | − | 0.0869158i | |||||
−0.500789 | − | 1.47528i | −0.0260700 | − | 0.0767998i | |||||
−28.4082 | + | 28.4082i | −1.47687 | + | 1.47687i | |||||
1.01767 | − | 0.621222i | 0.0528349 | − | 0.0322522i | |||||
−2.37802 | + | 0.985007i | −0.123294 | + | 0.0510702i | |||||
1.15826 | − | 0.668724i | 0.0599726 | − | 0.0346252i | −0.469714 | − | 0.882819i | ||
0.529686 | + | 0.848194i | ||||||||
41.1802 | − | 37.9410i | 2.12938 | − | 1.96188i | |||||
5.02355 | − | 8.70104i | 0.259415 | − | 0.449320i | |||||
9.14474 | + | 7.01701i | 0.471604 | + | 0.361874i | |||||
−7.71781 | − | 11.5505i | −0.397488 | − | 0.594882i | |||||
1.28264 | + | 5.71417i | 0.0659721 | + | 0.293905i | |||||
14.9861 | + | 2.98092i | 0.769783 | + | 0.153119i | 0.564332 | − | 0.825548i | ||
0.205451 | + | 0.978667i | ||||||||
0.591862 | − | 9.03008i | 0.0303619 | − | 0.463233i | |||||
−18.3836 | − | 6.24040i | −0.941822 | − | 0.319705i | |||||
−21.5496 | + | 16.5356i | −1.10257 | + | 0.846034i | |||||
3.53986 | + | 26.8879i | 0.180879 | + | 1.37391i | 0.805322 | + | 0.592838i | ||
−0.624443 | + | 0.781070i | ||||||||
−14.0431 | + | 2.79334i | −0.716632 | + | 0.142547i | |||||
39.0186 | + | 4.16898i | 1.98857 | + | 0.212471i | |||||
−6.73598 | + | 33.8641i | −0.342853 | + | 1.72364i | |||||
0.431727 | − | 1.61123i | 0.0219459 | − | 0.0819032i | |||||
1.66317 | + | 25.3751i | 0.0844348 | + | 1.28823i | |||||
−4.55235 | + | 34.5786i | −0.230813 | + | 1.75320i | 0.347770 | + | 0.937580i | ||
−0.578584 | + | 0.815623i | ||||||||
−7.33725 | − | 12.7085i | −0.371536 | − | 0.643520i | |||||
−4.22890 | − | 3.52894i | −0.213865 | − | 0.178466i | |||||
7.93427 | − | 11.4597i | 0.400741 | − | 0.578800i | |||||
−3.25927 | − | 7.86858i | −0.164408 | − | 0.396917i | |||||
−10.6022 | − | 5.22842i | −0.534131 | − | 0.263404i | |||||
−20.3451 | + | 5.45145i | −1.02367 | + | 0.274292i | |||||
−11.7296 | + | 13.3751i | −0.589436 | + | 0.672123i | |||||
3.83924 | + | 0.251637i | 0.192686 | + | 0.0126293i | 0.161441 | − | 0.986882i | ||
0.0312454 | + | 0.999512i | ||||||||
7.89272 | + | 39.6794i | 0.395626 | + | 1.98895i | |||||
3.40197 | − | 0.306689i | 0.170312 | − | 0.0153537i | |||||
0.449401 | − | 1.08495i | 0.0224701 | − | 0.0542476i | |||||
20.2175 | − | 17.7303i | 1.00961 | − | 0.885406i | 0.0161850 | − | 0.999869i | ||
0.993428 | + | 0.114463i | ||||||||
27.5080 | − | 13.5654i | 1.37197 | − | 0.676582i | |||||
1.83032 | + | 1.60515i | 0.0911747 | + | 0.0799581i | |||||
−50.8698 | − | 13.6305i | −2.53087 | − | 0.678144i | |||||
2.01000 | − | 1.34304i | 0.0998777 | − | 0.0667361i | |||||
−29.2281 | − | 5.07415i | −1.45056 | − | 0.251826i | |||||
− | 46.0647i | − | 2.28334i | |||||||
−6.71231 | + | 4.72724i | −0.332309 | + | 0.234033i | |||||
11.9304 | + | 6.88802i | 0.589921 | + | 0.340591i | 0.765066 | − | 0.643952i | ||
−0.175145 | + | 0.984543i | ||||||||
8.26518 | + | 1.08813i | 0.408188 | + | 0.0537390i | |||||
−0.322921 | + | 0.654820i | −0.0159285 | + | 0.0322999i | |||||
34.2021 | + | 34.2021i | 1.68502 | + | 1.68502i | |||||
20.5943 | + | 4.98179i | 1.01338 | + | 0.245138i | |||||
2.45860 | + | 1.64278i | 0.120833 | + | 0.0807383i | |||||
−23.6548 | − | 26.9732i | −1.16117 | − | 1.32406i | |||||
11.7912 | + | 15.3666i | 0.578111 | + | 0.753409i | |||||
5.84661 | + | 7.61945i | 0.286310 | + | 0.373126i | |||||
11.5603 | + | 13.1820i | 0.565434 | + | 0.644754i | |||||
−23.7931 | − | 15.8981i | −1.16237 | − | 0.776671i | −0.183877 | − | 0.982949i | ||
−0.978493 | + | 0.206278i | ||||||||
−18.0253 | − | 4.36035i | −0.879545 | − | 0.212763i | |||||
−3.32865 | − | 3.32865i | −0.162229 | − | 0.162229i | 0.621325 | − | 0.783553i | ||
−0.783553 | + | 0.621325i | ||||||||
−4.66632 | + | 9.46235i | −0.227153 | + | 0.460620i | |||||
5.73933 | + | 0.755598i | 0.279056 | + | 0.0367384i | |||||
−0.777102 | − | 0.448660i | −0.0377394 | − | 0.0217889i | |||||
−0.0853497 | − | 3.47823i | −0.00414007 | − | 0.168719i | |||||
− | 17.3423i | − | 0.840238i | |||||||
20.7167 | + | 3.59654i | 1.00255 | + | 0.174049i | |||||
−37.6423 | + | 25.1518i | −1.81951 | + | 1.21576i | |||||
16.2524 | + | 4.35481i | 0.784672 | + | 0.210252i | |||||
6.71068 | + | 5.88511i | 0.323618 | + | 0.283805i | |||||
30.4928 | − | 15.0374i | 1.46879 | − | 0.724326i | 0.480509 | − | 0.876990i | ||
0.988278 | + | 0.152664i | ||||||||
−1.04630 | + | 0.917578i | −0.0503400 | + | 0.0441470i | |||||
−11.6445 | + | 28.1122i | −0.559597 | + | 1.35099i | 0.350489 | + | 0.936567i | ||
−0.910086 | + | 0.414419i | ||||||||
5.17770 | − | 0.466771i | 0.248537 | − | 0.0224057i | |||||
2.38894 | + | 12.0100i | 0.114541 | + | 0.575836i | |||||
−27.2450 | − | 1.78573i | −1.30480 | − | 0.0855212i | |||||
1.13714 | − | 1.29666i | 0.0543969 | − | 0.0620278i | |||||
−1.96090 | + | 0.525422i | −0.0936956 | + | 0.0251056i | |||||
−7.79388 | − | 3.84352i | −0.371982 | − | 0.183441i | 0.246683 | − | 0.969096i | ||
−0.618665 | + | 0.785655i | ||||||||
−11.3016 | − | 27.2844i | −0.538782 | − | 1.30073i | |||||
0.573250 | − | 6.97649i | 0.0272976 | − | 0.332214i | |||||
21.9760 | + | 11.9789i | 1.04529 | + | 0.569777i | |||||
12.1961 | + | 21.1242i | 0.579453 | + | 1.00364i | 0.995542 | + | 0.0943176i | ||
−0.416090 | + | 0.909324i | ||||||||
−2.84159 | + | 21.5840i | −0.134856 | + | 1.02433i | |||||
1.71790 | + | 26.2100i | 0.0814361 | + | 1.24248i | |||||
−7.92670 | + | 29.5828i | −0.375340 | + | 1.40079i | |||||
2.06509 | − | 10.3819i | 0.0976754 | − | 0.491047i | |||||
33.8059 | + | 3.61202i | 1.59718 | + | 0.170652i | |||||
29.4309 | − | 5.85416i | 1.38893 | − | 0.276275i | 0.556703 | − | 0.830712i | ||
0.832226 | + | 0.554437i | ||||||||
0.243804 | + | 1.85188i | 0.0114931 | + | 0.0872984i | |||||
−7.58333 | + | 5.81889i | −0.357085 | + | 0.274001i | |||||
52.0371 | + | 17.6642i | 2.44762 | + | 0.830855i | |||||
−0.941374 | + | 14.3626i | −0.0442296 | + | 0.674813i | |||||
−31.3352 | − | 6.23296i | −1.47064 | − | 0.292528i | |||||
3.84160 | + | 17.1143i | 0.180097 | + | 0.802331i | |||||
−1.42820 | − | 2.13746i | −0.0668818 | − | 0.100096i | |||||
1.60686 | + | 1.23299i | 0.0751660 | + | 0.0576769i | 0.645661 | − | 0.763624i | ||
−0.570495 | + | 0.821301i | ||||||||
−10.5288 | + | 18.2365i | −0.491980 | + | 0.852134i | |||||
−1.73234 | + | 3.74152i | −0.0808588 | + | 0.174639i | |||||
−8.10914 | + | 4.68182i | −0.378091 | + | 0.218291i | |||||
10.8365 | − | 4.48864i | 0.504708 | − | 0.209057i | −0.115777 | − | 0.993275i | ||
0.620485 | + | 0.784218i | ||||||||
30.6683 | − | 18.7210i | 1.42682 | − | 0.870978i | |||||
8.73024 | − | 8.73024i | 0.405729 | − | 0.405729i | −0.474517 | − | 0.880246i | ||
0.880246 | + | 0.474517i | ||||||||
−2.26594 | − | 6.67526i | −0.105194 | − | 0.309891i | |||||
−0.949122 | − | 1.92463i | −0.0440145 | − | 0.0892525i | |||||
−7.48065 | + | 22.0373i | −0.346535 | + | 1.02086i | |||||
7.65589 | − | 1.00792i | 0.354272 | − | 0.0466408i | 0.0487100 | − | 0.998813i | ||
0.305562 | + | 0.952172i | ||||||||
−7.34655 | − | 3.04304i | −0.339594 | − | 0.140665i | |||||
−36.2189 | + | 5.67258i | −1.67243 | + | 0.261935i | |||||
−17.2092 | + | 25.7554i | −0.793800 | + | 1.18801i | |||||
2.48693 | − | 0.844199i | 0.114592 | − | 0.0388986i | |||||
−4.12720 | − | 15.4029i | −0.189970 | − | 0.708977i | |||||
−10.2122 | + | 0.669344i | −0.469558 | + | 0.0307765i | |||||
−11.7407 | + | 15.3007i | −0.539266 | + | 0.702785i | |||||
1.08944 | 0.0499871 | |||||||||
30.1152 | − | 9.67297i | 1.38033 | − | 0.443360i | |||||
−0.450646 | −0.0206337 | |||||||||
2.83881 | − | 3.69961i | 0.129844 | − | 0.169216i | |||||
−32.9824 | + | 2.16178i | −1.50700 | + | 0.0987743i | −0.796380 | − | 0.604797i | ||
−0.710625 | + | 0.703571i | ||||||||
−4.41898 | − | 16.4918i | −0.201698 | − | 0.752746i | |||||
19.4977 | − | 6.61858i | 0.889019 | − | 0.301781i | |||||
0.357463 | − | 0.534981i | 0.0162820 | − | 0.0243677i | |||||
−2.21951 | − | 2.75054i | −0.100991 | − | 0.125154i | |||||
71.3707 | + | 29.5627i | 3.24412 | + | 1.34376i | |||||
−21.0196 | + | 2.76728i | −0.954449 | + | 0.125656i | |||||
0.711505 | − | 2.09603i | 0.0322745 | − | 0.0950777i | |||||
−11.8349 | − | 23.9989i | −0.536292 | − | 1.08749i | −0.981393 | − | 0.192012i | ||
0.445101 | − | 0.895480i | ||||||||
−5.08664 | − | 14.9848i | −0.230262 | − | 0.678329i | |||||
0.545125 | − | 0.545125i | 0.0246514 | − | 0.0246514i | |||||
32.1241 | + | 19.2620i | 1.45122 | + | 0.870168i | |||||
5.39335 | − | 2.23400i | 0.243398 | − | 0.100819i | −0.257650 | − | 0.966238i | ||
0.501048 | + | 0.865419i | ||||||||
3.91218 | − | 2.25870i | 0.176375 | − | 0.101830i | |||||
−14.1518 | − | 15.3600i | −0.637366 | − | 0.691780i | |||||
−3.91853 | + | 6.78710i | −0.176303 | + | 0.305366i | |||||
−11.7667 | − | 9.02890i | −0.528873 | − | 0.405819i | |||||
0.686333 | + | 1.02717i | 0.0308173 | + | 0.0461213i | |||||
−6.18109 | + | 19.7859i | −0.277260 | + | 0.887521i | |||||
−32.2189 | − | 6.40873i | −1.44376 | − | 0.287182i | |||||
1.95569 | − | 29.8381i | 0.0875488 | − | 1.33574i | −0.697626 | − | 0.716462i | ||
0.785175 | − | 0.619274i | ||||||||
27.5862 | + | 9.36425i | 1.23369 | + | 0.418782i | |||||
7.29613 | − | 5.59852i | 0.325967 | − | 0.250123i | |||||
−8.61373 | − | 65.4278i | −0.384450 | − | 2.92018i | |||||
−32.4711 | + | 6.45891i | −1.44782 | + | 0.287988i | −0.855536 | − | 0.517744i | ||
−0.592280 | + | 0.805732i | ||||||||
−4.81641 | + | 2.13447i | −0.214540 | + | 0.0950769i | |||||
8.56581 | − | 43.0632i | 0.381174 | − | 1.91629i | |||||
4.69543 | − | 17.5236i | 0.208737 | − | 0.779018i | |||||
−0.358350 | − | 5.46736i | −0.0159149 | − | 0.242814i | |||||
7.34757 | − | 55.8104i | 0.325996 | − | 2.47618i | |||||
4.81235 | + | 8.33523i | 0.213304 | + | 0.369453i | 0.952746 | − | 0.303767i | ||
−0.739443 | + | 0.673219i | ||||||||
−13.8561 | − | 17.1685i | −0.613557 | − | 0.760236i | |||||
2.42447 | + | 0.0994406i | 0.107252 | + | 0.00439899i | |||||
5.88222 | + | 14.2009i | 0.259960 | + | 0.627598i | |||||
−1.15790 | − | 0.571012i | −0.0511225 | − | 0.0252108i | |||||
49.6802 | − | 13.3118i | 2.19130 | − | 0.587157i | |||||
−26.5888 | + | 30.3187i | −1.17164 | + | 1.33600i | |||||
4.82631 | + | 0.316333i | 0.212466 | + | 0.0139258i | |||||
−6.92894 | − | 34.8341i | −0.304734 | − | 1.53200i | |||||
18.4773 | − | 39.8995i | 0.811846 | − | 1.75308i | |||||
−3.65155 | + | 8.81563i | −0.160285 | + | 0.386963i | |||||
9.92480 | − | 8.70382i | 0.435231 | − | 0.381688i | |||||
19.1018 | − | 9.41999i | 0.836867 | − | 0.412697i | 0.0272308 | − | 0.999629i | ||
0.809636 | + | 0.586932i | ||||||||
8.42994 | + | 7.39286i | 0.368968 | + | 0.323577i | |||||
23.6469 | + | 6.33616i | 1.03401 | + | 0.277061i | 0.735627 | − | 0.677387i | ||
0.298378 | + | 0.954448i | ||||||||
20.5334 | − | 13.7200i | 0.897004 | − | 0.599359i | |||||
0.381882 | − | 2.19971i | 0.0166667 | − | 0.0960034i | |||||
− | 51.2241i | − | 2.23348i | |||||||
3.09221 | + | 1.95817i | 0.134699 | + | 0.0852991i | |||||
7.39432 | + | 4.26911i | 0.321797 | + | 0.185789i | |||||
21.0340 | + | 2.76917i | 0.914520 | + | 0.120399i | |||||
1.06652 | − | 2.16269i | 0.0463268 | − | 0.0939414i | |||||
−5.66281 | − | 5.66281i | −0.245745 | − | 0.245745i | |||||
2.79660 | + | 9.50122i | 0.121248 | + | 0.411930i | |||||
−3.55252 | − | 2.37372i | −0.153877 | − | 0.102817i | |||||
15.8577 | + | 18.0823i | 0.686231 | + | 0.782497i | |||||
−22.9770 | − | 29.9442i | −0.993383 | − | 1.29460i | |||||
16.7961 | + | 21.8891i | 0.725480 | + | 0.945464i | |||||
−15.5830 | − | 17.7691i | −0.672458 | − | 0.766792i | |||||
−28.4889 | − | 19.0357i | −1.22824 | − | 0.820685i | |||||
−41.6620 | + | 10.4282i | −1.79451 | + | 0.449173i | |||||
4.95641 | + | 4.95641i | 0.213290 | + | 0.213290i | |||||
−1.91355 | + | 3.88029i | −0.0822699 | + | 0.166827i | −0.934120 | − | 0.356958i | ||
0.851850 | + | 0.523785i | ||||||||
−43.4971 | − | 5.72650i | −1.86836 | − | 0.245974i | |||||
−5.80713 | − | 3.35275i | −0.249208 | − | 0.143880i | |||||
21.0903 | + | 20.0801i | 0.904239 | + | 0.860925i | |||||
− | 22.7633i | − | 0.975072i | |||||||
12.3304 | + | 10.2911i | 0.527692 | + | 0.440416i | |||||
8.16676 | − | 5.45685i | 0.349185 | − | 0.233318i | −0.368591 | − | 0.929591i | ||
0.717777 | + | 0.696273i | ||||||||
−2.04488 | − | 0.547924i | −0.0873529 | − | 0.0234061i | |||||
−5.97511 | − | 5.24003i | −0.255011 | − | 0.223639i | |||||
10.2781 | − | 5.06860i | 0.438260 | − | 0.216126i | |||||
4.91683 | − | 4.31195i | 0.209464 | − | 0.183695i | |||||
−1.01792 | + | 2.45747i | −0.0433255 | + | 0.104597i | |||||
18.8484 | − | 13.2721i | 0.801516 | − | 0.564388i | |||||
−13.5510 | − | 68.1253i | −0.575726 | − | 2.89437i | |||||
−18.1113 | − | 1.18708i | −0.768781 | − | 0.0503886i | |||||
−18.3613 | + | 20.9370i | −0.778692 | + | 0.887928i | |||||
13.6373 | − | 3.65411i | 0.577831 | − | 0.154829i | 0.0419455 | − | 0.999120i | ||
0.535886 | + | 0.844290i | ||||||||
−1.76228 | − | 0.869063i | −0.0746035 | − | 0.0367904i | |||||
−1.75060 | − | 4.22633i | −0.0740426 | − | 0.178755i | |||||
−0.364762 | + | 8.89331i | −0.0154140 | + | 0.375811i | |||||
25.1537 | + | 2.68564i | 1.06199 | + | 0.113388i | |||||
0.580607 | + | 1.00564i | 0.0244914 | + | 0.0424204i | |||||
−0.310673 | + | 2.35980i | −0.0130933 | + | 0.0994536i | −0.996744 | − | 0.0806351i | ||
0.983650 | + | 0.180089i | ||||||||
1.09780 | + | 16.7492i | 0.0462259 | + | 0.705270i | |||||
−11.8579 | + | 44.2543i | −0.498866 | + | 1.86179i | |||||
−6.80437 | + | 34.2079i | −0.286009 | + | 1.43786i | |||||
−1.55882 | + | 2.13778i | −0.0654642 | + | 0.0897782i | |||||
15.3008 | − | 3.04352i | 0.642007 | − | 0.127703i | |||||
1.62703 | + | 12.3585i | 0.0682088 | + | 0.518097i | 0.991108 | + | 0.133057i | ||
−0.922900 | + | 0.385041i | ||||||||
5.48068 | − | 4.20548i | 0.229561 | − | 0.176148i | |||||
19.2435 | + | 6.53230i | 0.805317 | + | 0.273368i | 0.693590 | − | 0.720370i | ||
0.111728 | + | 0.993739i | ||||||||
−3.19084 | + | 48.6828i | −0.133416 | + | 2.03553i | |||||
−12.0356 | − | 2.39403i | −0.502794 | − | 0.100012i | |||||
−8.90243 | + | 1.99830i | −0.371580 | + | 0.0834075i | |||||
−0.626276 | − | 0.937289i | −0.0261175 | − | 0.0390876i | |||||
−10.1947 | − | 7.82267i | −0.424779 | − | 0.325945i | |||||
−5.13838 | + | 8.89994i | −0.213914 | + | 0.370509i | −0.952936 | − | 0.303172i | ||
0.739022 | + | 0.673681i | ||||||||
35.4295 | + | 12.6777i | 1.47367 | + | 0.527323i | |||||
−13.5088 | + | 7.79932i | −0.561407 | + | 0.324128i | |||||
−32.8033 | + | 13.5876i | −1.36208 | + | 0.564194i | |||||
34.4745 | + | 18.7951i | 1.43024 | + | 0.779751i | |||||
−13.7268 | + | 13.7268i | −0.568994 | + | 0.568994i | |||||
0.888736 | + | 2.61813i | 0.0368077 | + | 0.108432i | |||||
−0.807702 | − | 1.63786i | −0.0334229 | − | 0.0677750i | |||||
2.13100 | − | 6.27773i | 0.0881061 | − | 0.259552i | |||||
−23.5714 | + | 3.10323i | −0.973725 | + | 0.128193i | |||||
−22.1824 | − | 9.18825i | −0.915566 | − | 0.379240i | −0.125381 | − | 0.992109i | ||
−0.790185 | + | 0.612869i | ||||||||
20.1644 | − | 2.31620i | 0.831565 | − | 0.0955185i | |||||
−0.636715 | + | 0.952912i | −0.0262354 | + | 0.0392640i | |||||
40.5783 | − | 13.7745i | 1.67058 | − | 0.567086i | |||||
−1.38224 | − | 5.15858i | −0.0568576 | − | 0.212196i | |||||
10.4263 | − | 0.683374i | 0.428517 | − | 0.0280865i | |||||
−15.7736 | + | 20.5566i | −0.647745 | + | 0.844158i | −0.995631 | − | 0.0933792i | ||
0.347886 | + | 0.937537i | ||||||||
−13.5805 | −0.557216 | |||||||||
9.68931 | + | 24.5262i | 0.397223 | + | 1.00548i | |||||
30.6928 | 1.25723 | |||||||||
−11.1265 | + | 14.5004i | −0.455378 | + | 0.593460i | |||||
8.09180 | − | 0.530364i | 0.330898 | − | 0.0216882i | |||||
−6.11987 | − | 22.8397i | −0.250051 | − | 0.933204i | −0.970777 | − | 0.239984i | ||
0.720726 | − | 0.693220i | ||||||||
−1.59109 | + | 0.540102i | −0.0649560 | + | 0.0220496i | |||||
−8.76475 | + | 13.1174i | −0.357522 | + | 0.535069i | −0.966014 | − | 0.258491i | ||
0.608492 | + | 0.793560i | ||||||||
−9.11390 | − | 3.51652i | −0.371455 | − | 0.143323i | |||||
12.8016 | + | 5.30259i | 0.521321 | + | 0.215938i | |||||
−41.3776 | + | 5.44746i | −1.68363 | + | 0.221654i | |||||
−20.7024 | + | 60.9873i | −0.841672 | + | 2.47949i | |||||
−17.7815 | − | 36.0573i | −0.722323 | − | 1.46473i | |||||
−14.3864 | − | 42.3811i | −0.583928 | − | 1.72020i | −0.688081 | − | 0.725634i | ||
0.104154 | − | 0.994561i | ||||||||
−6.44764 | + | 6.44764i | −0.261486 | + | 0.261486i | |||||
−6.98283 | − | 11.4391i | −0.282958 | − | 0.463536i | |||||
39.2884 | − | 16.2738i | 1.59074 | − | 0.658906i | |||||
13.7486 | − | 7.93776i | 0.556209 | − | 0.321127i | |||||
−11.6203 | − | 2.81003i | −0.469722 | − | 0.113589i | |||||
14.8994 | − | 25.8065i | 0.601781 | − | 1.04231i | −0.390771 | − | 0.920488i | ||
0.992551 | − | 0.121827i | ||||||||
−13.5941 | − | 10.4311i | −0.548612 | − | 0.420965i | |||||
2.09240 | + | 3.13149i | 0.0843735 | + | 0.126274i | |||||
21.8993 | + | 23.7726i | 0.882349 | + | 0.957824i | |||||
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−0.575156 | + | 0.818044i | ||||||||
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26.6881 | + | 9.05940i | 1.07269 | + | 0.364128i | 0.801251 | − | 0.598329i | ||
0.271435 | + | 0.962457i | ||||||||
4.93646 | − | 3.78788i | 0.198253 | − | 0.152125i | |||||
0.174365 | + | 1.32443i | 0.00699703 | + | 0.0531477i | |||||
12.3008 | − | 2.44679i | 0.493219 | − | 0.0981073i | |||||
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3.80758 | + | 6.59492i | 0.151939 | + | 0.263166i | |||||
27.4200 | − | 14.3688i | 1.09331 | − | 0.572920i | |||||
−6.57021 | − | 12.5403i | −0.261763 | − | 0.499617i | |||||
7.69012 | + | 18.5656i | 0.306139 | + | 0.739085i | 0.999823 | + | 0.0188054i | ||
−0.693684 | + | 0.720279i | ||||||||
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46.8308 | + | 3.06946i | 1.85843 | + | 0.121808i | |||||
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26.3255 | − | 63.5554i | 1.04224 | − | 2.51618i | |||||
5.89052 | − | 5.16585i | 0.233025 | − | 0.204358i | |||||
31.0433 | − | 15.3089i | 1.22710 | − | 0.605136i | |||||
11.5477 | + | 10.1271i | 0.456106 | + | 0.399994i | 0.856335 | − | 0.516421i | ||
−0.400229 | + | 0.916415i | ||||||||
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14.7861 | − | 9.87978i | 0.583108 | − | 0.389620i | −0.228741 | − | 0.973487i | ||
0.811849 | + | 0.583867i | ||||||||
6.56660 | − | 7.86788i | 0.258760 | − | 0.310038i | |||||
4.03239i | 0.158775i | |||||||||
−4.24063 | + | 10.9931i | −0.166845 | + | 0.432517i | |||||
17.7812 | + | 10.2660i | 0.699051 | + | 0.403598i | 0.806994 | − | 0.590560i | ||
−0.107943 | + | 0.994157i | ||||||||
1.97415 | + | 0.259902i | 0.0775520 | + | 0.0102099i | |||||
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3.62213 | + | 3.62213i | 0.142072 | + | 0.142072i | |||||
1.70085 | + | 1.61963i | 0.0666617 | + | 0.0634781i | |||||
1.85862 | + | 1.24189i | 0.0727891 | + | 0.0486361i | |||||
2.73507 | + | 3.11875i | 0.107032 | + | 0.122046i | 0.802875 | − | 0.596147i | ||
−0.695843 | + | 0.718194i | ||||||||
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12.5336 | + | 16.3342i | 0.489730 | + | 0.638229i | |||||
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7.97095 | − | 32.9513i | 0.310740 | − | 1.28457i | |||||
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−0.834116 | + | 0.551589i | ||||||||
19.0207 | − | 38.5702i | 0.740380 | − | 1.50134i | |||||
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−0.330054 | + | 0.943962i | ||||||||
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2.47733 | + | 11.0326i | 0.0962116 | + | 0.428471i | |||||
− | 29.5508i | − | 1.14679i | |||||||
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20.0486 | + | 17.5822i | 0.775704 | + | 0.680274i | |||||
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10.7584 | + | 15.2786i | 0.415016 | + | 0.589385i | |||||
6.71261 | + | 33.7466i | 0.258752 | + | 1.30083i | 0.863472 | + | 0.504397i | ||
−0.604720 | + | 0.796438i | ||||||||
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15.3457 | − | 4.11186i | 0.590218 | − | 0.158148i | |||||
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−0.914864 | + | 0.403763i | ||||||||
16.0539 | + | 38.7576i | 0.616547 | + | 1.48848i | |||||
20.5534 | − | 10.7685i | 0.788769 | − | 0.413258i | |||||
12.7158 | − | 15.2380i | 0.487628 | − | 0.584349i | |||||
−7.21689 | − | 12.5000i | −0.276552 | − | 0.479002i | |||||
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2.49959 | + | 38.1364i | 0.0956442 | + | 1.45925i | 0.728535 | + | 0.685008i | ||
−0.632891 | + | 0.774241i | ||||||||
0.968878 | − | 3.61590i | 0.0370460 | − | 0.138257i | |||||
0.344331 | − | 1.73107i | 0.0131562 | − | 0.0661408i | |||||
−40.2689 | − | 7.67884i | −1.53747 | − | 0.293180i | |||||
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−0.302998 | − | 2.30150i | −0.0115517 | − | 0.0877439i | |||||
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−0.787190 | + | 0.616710i | ||||||||
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15.4941 | + | 4.84032i | 0.588572 | + | 0.183869i | |||||
8.96518 | + | 13.4173i | 0.340314 | + | 0.509315i | |||||
−18.4193 | − | 14.1336i | −0.698684 | − | 0.536119i | |||||
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6.47168 | − | 0.158313i | 0.244607 | − | 0.00598366i | |||||
0.358450 | − | 0.358450i | 0.0135385 | − | 0.0135385i | −0.700305 | − | 0.713844i | ||
0.713844 | + | 0.700305i | ||||||||
−1.95125 | − | 5.74820i | −0.0736452 | − | 0.216952i | |||||
4.28722 | + | 8.69363i | 0.161696 | + | 0.327886i | |||||
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47.9825 | + | 19.8750i | 1.80585 | + | 0.748006i | |||||
7.43558 | + | 47.4755i | 0.279644 | + | 1.78550i | |||||
12.9009 | − | 19.3075i | 0.484845 | − | 0.725621i | |||||
−1.76803 | + | 0.600164i | −0.0663996 | + | 0.0225396i | −0.354442 | − | 0.935078i | ||
0.288042 | + | 0.957618i | ||||||||
10.8506 | + | 40.4949i | 0.407215 | + | 1.51975i | |||||
−8.69432 | + | 0.569856i | −0.326062 | + | 0.0213713i | |||||
−13.1707 | + | 17.1644i | −0.493592 | + | 0.643262i | |||||
1.18585 | 0.0444103 | |||||||||
20.7099 | + | 12.4157i | 0.775047 | + | 0.464647i | |||||
−40.6745 | −1.52114 | |||||||||
41.7176 | − | 54.3674i | 1.55906 | − | 2.03181i | |||||
2.10223 | − | 0.137787i | 0.0785092 | − | 0.00514576i | |||||
−5.71972 | − | 21.3463i | −0.213458 | − | 0.796636i | |||||
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0.272005 | + | 0.962296i | ||||||||
1.86904 | − | 2.79721i | 0.0696549 | − | 0.104246i | |||||
15.8876 | − | 41.1764i | 0.591684 | − | 1.53349i | |||||
35.4465 | + | 14.6824i | 1.31918 | + | 0.546423i | |||||
0.288192 | − | 0.0379412i | 0.0107180 | − | 0.00141105i | |||||
6.24976 | − | 18.4112i | 0.232270 | − | 0.684247i | |||||
−1.89056 | − | 3.83368i | −0.0702138 | − | 0.142379i | |||||
18.9561 | + | 55.8430i | 0.703528 | + | 2.07253i | |||||
−17.9107 | + | 17.9107i | −0.664269 | + | 0.664269i | −0.956383 | − | 0.292114i | ||
0.292114 | + | 0.956383i | ||||||||
−6.91566 | + | 12.6849i | −0.256311 | + | 0.470134i | |||||
0.923880 | − | 0.382683i | 0.0342178 | − | 0.0141735i | |||||
4.25003 | − | 2.45376i | 0.157301 | − | 0.0908177i | |||||
−3.58388 | − | 5.87003i | −0.132554 | − | 0.217111i | |||||
11.5219 | − | 19.9565i | 0.425861 | − | 0.737613i | |||||
−0.525859 | − | 0.403506i | −0.0194230 | − | 0.0149038i | 0.599004 | − | 0.800746i | ||
−0.618427 | + | 0.785842i | ||||||||
9.49139 | + | 14.2049i | 0.350334 | + | 0.524311i | |||||
3.02642 | + | 16.6490i | 0.111631 | + | 0.614108i | |||||
9.25362 | + | 1.84066i | 0.341093 | + | 0.0678476i | |||||
5.56014 | − | 84.8313i | 0.204810 | − | 3.12480i | |||||
3.26552 | + | 1.10849i | 0.120205 | + | 0.0408042i | |||||
−13.4931 | + | 10.3536i | −0.496353 | + | 0.380865i | −0.826386 | − | 0.563105i | ||
0.330033 | + | 0.943969i | ||||||||
−6.86927 | − | 52.1773i | −0.252519 | − | 1.91808i | |||||
−3.47255 | + | 0.690734i | −0.127567 | + | 0.0253747i | |||||
−0.280386 | + | 2.62421i | −0.0102933 | + | 0.0963378i | |||||
1.89588 | − | 9.53123i | 0.0695531 | − | 0.349667i | −0.930300 | − | 0.366799i | ||
0.999853 | + | 0.0171323i | ||||||||
0.457483 | − | 1.70735i | 0.0167721 | − | 0.0625944i | |||||
1.67360 | + | 25.5342i | 0.0613159 | + | 0.935500i | |||||
−0.386414 | + | 2.93511i | −0.0141476 | + | 0.107462i | |||||
−7.42040 | − | 12.8525i | −0.271498 | − | 0.470249i | |||||
6.59129 | + | 73.0525i | 0.241001 | + | 2.67106i | |||||
34.8983 | + | 22.1033i | 1.27516 | + | 0.807637i | |||||
8.51058 | + | 20.5464i | 0.310762 | + | 0.750247i | |||||
14.0724 | + | 6.93972i | 0.513508 | + | 0.253234i | 0.680531 | − | 0.732719i | ||
−0.167024 | + | 0.985953i | ||||||||
7.78156 | − | 2.08506i | 0.283764 | − | 0.0760344i | |||||
19.6575 | − | 22.4151i | 0.716359 | − | 0.816850i | |||||
30.6834 | + | 2.01110i | 1.11742 | + | 0.0732398i | |||||
−6.78811 | − | 34.1261i | −0.247045 | − | 1.24198i | |||||
−6.96131 | − | 3.22376i | −0.253180 | − | 0.117247i | |||||
−0.673804 | + | 1.62671i | −0.0244898 | + | 0.0591236i | −0.935651 | − | 0.352926i | ||
0.911162 | + | 0.412049i | ||||||||
−25.4284 | + | 22.3001i | −0.923599 | + | 0.809975i | |||||
7.35074 | − | 3.62498i | 0.266815 | − | 0.131578i | |||||
4.67225 | + | 4.09746i | 0.169480 | + | 0.148630i | |||||
30.6989 | + | 8.22575i | 1.11283 | + | 0.298183i | 0.767981 | − | 0.640473i | ||
0.344854 | + | 0.938656i | ||||||||
35.7305 | − | 23.8743i | 1.29438 | − | 0.864876i | |||||
8.58271 | + | 23.3884i | 0.310715 | + | 0.846718i | |||||
− | 35.5817i | − | 1.28730i | |||||||
1.70412 | − | 9.82046i | 0.0616125 | − | 0.355059i | |||||
−51.9874 | − | 30.0149i | −1.87838 | − | 1.08448i | |||||
−21.7746 | − | 2.86669i | −0.786237 | − | 0.103510i | |||||
2.65062 | − | 5.37492i | 0.0956459 | − | 0.193951i | |||||
−28.4755 | − | 28.4755i | −1.02685 | − | 1.02685i | −0.999629 | − | 0.0272230i | ||
−0.0272230 | − | 0.999629i | ||||||||
−59.8983 | + | 62.9023i | −2.15859 | + | 2.26684i | |||||
19.3200 | + | 12.9092i | 0.695793 | + | 0.464914i | |||||
−29.8217 | − | 34.0052i | −1.07331 | − | 1.22387i | |||||
−24.3365 | − | 31.7160i | −0.875324 | − | 1.14074i | −0.989101 | − | 0.147238i | ||
0.113777 | − | 0.993506i | ||||||||
2.24770 | + | 2.92926i | 0.0807920 | + | 0.105290i | |||||
0.493907 | + | 0.563193i | 0.0177416 | + | 0.0202305i | |||||
−14.5199 | − | 9.70189i | −0.521234 | − | 0.348278i | |||||
19.0562 | − | 5.60903i | 0.683639 | − | 0.201223i | |||||
−54.5886 | − | 54.5886i | −1.95710 | − | 1.95710i | |||||
0.889612 | − | 1.80396i | 0.0318737 | − | 0.0646334i | |||||
19.0584 | + | 2.50908i | 0.682400 | + | 0.0898396i | |||||
−41.6291 | − | 24.0346i | −1.48961 | − | 0.860025i | |||||
11.8955 | − | 2.67110i | 0.425383 | − | 0.0955183i | |||||
5.06548i | 0.181025i | |||||||||
−2.97837 | − | 9.27507i | −0.106370 | − | 0.331253i | |||||
−5.27888 | + | 3.52723i | −0.188411 | + | 0.125892i | |||||
18.2097 | + | 4.87928i | 0.649519 | + | 0.174038i | |||||
18.2660 | + | 16.0188i | 0.651111 | + | 0.571009i | 0.919882 | − | 0.392195i | ||
−0.268771 | + | 0.963204i | ||||||||
13.8883 | − | 6.84897i | 0.494751 | − | 0.243984i | |||||
17.3989 | − | 15.2584i | 0.619416 | − | 0.543213i | |||||
17.8416 | − | 43.0735i | 0.634776 | − | 1.53249i | |||||
−4.50216 | − | 49.9406i | −0.160079 | − | 1.77568i | |||||
−2.38334 | − | 11.9818i | −0.0846882 | − | 0.425756i | |||||
−21.7483 | − | 1.42546i | −0.772303 | − | 0.0506194i | |||||
−5.61524 | + | 6.40295i | −0.199277 | + | 0.227232i | |||||
1.05227 | − | 0.281956i | 0.0373203 | − | 0.00999995i | |||||
−47.5309 | − | 23.4396i | −1.68469 | − | 0.830796i | |||||
−18.5475 | − | 44.7776i | −0.656985 | − | 1.58610i | −0.802436 | − | 0.596738i | ||
0.145451 | − | 0.989365i | ||||||||
−4.04556 | + | 6.38742i | −0.143211 | + | 0.226112i | |||||
18.5737 | − | 14.9901i | 0.657090 | − | 0.530312i | |||||
2.97996 | + | 5.16145i | 0.105358 | + | 0.182485i | |||||
−1.41823 | + | 10.7725i | −0.0501107 | + | 0.380629i | |||||
3.89295 | + | 59.3950i | 0.137465 | + | 2.09731i | |||||
−1.45636 | + | 5.43520i | −0.0513937 | + | 0.191804i | |||||
−7.83822 | + | 39.4054i | −0.276433 | + | 1.38972i | |||||
6.90357 | + | 5.03393i | 0.243319 | + | 0.177423i | |||||
−5.28511 | + | 1.05127i | −0.186160 | + | 0.0370296i | |||||
−2.02045 | − | 15.3468i | −0.0711231 | − | 0.540234i | |||||
28.6921 | − | 22.0162i | 1.00938 | − | 0.774527i | |||||
−26.0531 | − | 8.84383i | −0.915978 | − | 0.310933i | −0.176647 | − | 0.984274i | ||
−0.739331 | + | 0.673342i | ||||||||
−0.349967 | + | 5.33946i | −0.0122966 | + | 0.187610i | |||||
−9.94901 | − | 1.97898i | −0.349357 | − | 0.0694914i | 0.0172928 | − | 0.999850i | ||
−0.366650 | + | 0.930359i | ||||||||
28.5811 | − | 26.3290i | 1.00300 | − | 0.923966i | |||||
−11.0116 | − | 16.4801i | −0.386195 | − | 0.577982i | |||||
80.8936 | + | 62.0718i | 2.83532 | + | 2.17562i | |||||
−0.931817 | + | 1.61395i | −0.0326401 | + | 0.0565343i | |||||
−0.234710 | + | 5.73311i | −0.00821650 | + | 0.200699i | |||||
1.86502 | − | 1.07677i | 0.0652487 | − | 0.0376714i | |||||
−28.1721 | + | 11.6693i | −0.985014 | + | 0.408006i | |||||
0.177440 | + | 7.25361i | 0.00620027 | + | 0.253462i | |||||
−7.72188 | + | 7.72188i | −0.269660 | + | 0.269660i | |||||
−1.08203 | − | 3.18757i | −0.0377633 | − | 0.111247i | 0.926413 | − | 0.376508i | ||
−0.964177 | + | 0.265261i | ||||||||
−0.714785 | − | 1.44944i | −0.0249310 | − | 0.0505551i | |||||
0.388094 | − | 1.14329i | 0.0135281 | − | 0.0398525i | −0.939956 | − | 0.341295i | ||
0.953485 | + | 0.301442i | ||||||||
−32.9318 | + | 4.33556i | −1.14723 | + | 0.151036i | |||||
4.78320 | + | 1.98127i | 0.166530 | + | 0.0689788i | |||||
−36.4991 | + | 29.4525i | −1.26997 | + | 1.02478i | |||||
−1.21299 | + | 1.81537i | −0.0421799 | + | 0.0631267i | −0.851960 | − | 0.523606i | ||
0.809780 | + | 0.586733i | ||||||||
−3.66786 | + | 1.24507i | −0.127467 | + | 0.0432692i | |||||
−2.87701 | − | 10.7372i | −0.0999227 | − | 0.372917i | 0.897797 | − | 0.440409i | ||
−0.997720 | + | 0.0674928i | ||||||||
79.2419 | − | 5.19379i | 2.75053 | − | 0.180279i | |||||
19.1031 | − | 24.8956i | 0.662678 | − | 0.863619i | |||||
−35.2406 | −1.22175 | |||||||||
−19.2028 | − | 21.5465i | −0.665338 | − | 0.746542i | |||||
−21.2587 | −0.736127 | |||||||||
−13.5339 | + | 17.6377i | −0.468360 | + | 0.610378i | |||||
−22.9182 | + | 1.50214i | −0.792642 | + | 0.0519525i | |||||
−0.229754 | − | 0.857453i | −0.00794145 | − | 0.0296379i | |||||
59.9794 | − | 20.3603i | 2.07195 | − | 0.703333i | |||||
5.51326 | − | 8.25118i | 0.190339 | − | 0.284862i | −0.724010 | − | 0.689789i | ||
0.914349 | + | 0.404927i | ||||||||
9.91100 | − | 7.99755i | 0.341962 | − | 0.275942i | |||||
3.08664 | + | 1.27853i | 0.106436 | + | 0.0440872i | |||||
10.3307 | − | 1.36007i | 0.356020 | − | 0.0468709i | |||||
−0.168629 | + | 0.496765i | −0.00580789 | + | 0.0171095i | |||||
−6.11263 | − | 12.3952i | −0.210406 | − | 0.426660i | |||||
4.25753 | + | 12.5423i | 0.146463 | + | 0.431467i | |||||
−9.06060 | + | 9.06060i | −0.311510 | + | 0.311510i | |||||
−1.72381 | − | 70.4678i | −0.0592308 | − | 2.42130i | |||||
−0.579403 | + | 0.239997i | −0.0198968 | + | 0.00824152i | |||||
−13.6460 | + | 7.87850i | −0.468328 | + | 0.270389i | |||||
6.22308 | + | 4.53701i | 0.213450 | + | 0.155618i | |||||
5.01490 | − | 8.68606i | 0.171909 | − | 0.297754i | |||||
18.0230 | + | 13.8296i | 0.617459 | + | 0.473793i | |||||
10.2193 | + | 15.2943i | 0.349902 | + | 0.523665i | 0.964118 | − | 0.265472i | ||
−0.614217 | + | 0.789137i | ||||||||
−34.2314 | + | 31.5341i | −1.17138 | + | 1.07907i | |||||
3.06100 | + | 0.608871i | 0.104684 | + | 0.0208229i | |||||
2.03333 | − | 31.0226i | 0.0694977 | − | 1.06033i | |||||
−51.2237 | − | 17.3881i | −1.74977 | − | 0.593966i | −0.751902 | − | 0.659275i | ||
−0.997865 | + | 0.0653086i | ||||||||
−29.5474 | + | 22.6725i | −1.00873 | + | 0.774026i | |||||
−1.05828 | − | 8.03842i | −0.0361080 | − | 0.274268i | −0.999969 | − | 0.00786218i | ||
0.963861 | − | 0.266405i | ||||||||
−11.4675 | + | 2.28103i | −0.391039 | + | 0.0777825i | |||||
−3.33056 | − | 2.42857i | −0.113505 | − | 0.0827655i | |||||
−14.6819 | + | 73.8107i | −0.500066 | + | 2.51400i | |||||
4.73532 | − | 17.6724i | 0.161192 | − | 0.601577i | −0.837303 | − | 0.546739i | ||
0.998495 | − | 0.0548381i | ||||||||
−0.461928 | − | 7.04766i | −0.0157151 | − | 0.239766i | |||||
3.01082 | − | 22.8695i | 0.102371 | − | 0.777585i | |||||
−33.6766 | − | 58.3296i | −1.14438 | − | 1.98212i | |||||
6.24744 | + | 15.8104i | 0.212174 | + | 0.536950i | |||||
−3.64384 | + | 5.75316i | −0.123680 | + | 0.195275i | |||||
20.4571 | + | 49.3878i | 0.693960 | + | 1.67537i | |||||
−24.3097 | − | 11.9882i | −0.824176 | − | 0.406438i | |||||
36.7052 | − | 9.83513i | 1.24371 | − | 0.333251i | |||||
12.3626 | − | 14.0969i | 0.418651 | − | 0.477380i | |||||
−8.75134 | − | 0.573593i | −0.296188 | − | 0.0194132i | |||||
0.744760 | + | 3.74416i | 0.0251919 | + | 0.126648i | |||||
−2.38671 | − | 26.4748i | −0.0806855 | − | 0.895010i | |||||
1.01767 | − | 2.45687i | 0.0343838 | − | 0.0830099i | |||||
−6.11349 | + | 5.36138i | −0.206438 | + | 0.181041i | −0.756321 | − | 0.654200i | ||
0.549884 | + | 0.835241i | ||||||||
17.2517 | − | 8.50761i | 0.582218 | − | 0.287118i | |||||
−8.07538 | − | 7.08192i | −0.272376 | − | 0.238867i | |||||
−19.9371 | − | 5.34212i | −0.672078 | − | 0.180083i | |||||
−4.04042 | + | 2.69972i | −0.136125 | + | 0.0909560i | −0.621768 | − | 0.783201i | ||
0.485643 | + | 0.874157i | ||||||||
11.4789 | + | 10.4074i | 0.386513 | + | 0.350436i | |||||
44.7736i | 1.50675i | 0.657590 | + | 0.753376i | ||||||
−0.657590 | + | 0.753376i | ||||||||
−29.9737 | + | 13.2861i | −1.00812 | + | 0.446858i | |||||
16.7659 | + | 9.67981i | 0.563580 | + | 0.325383i | |||||
−53.5300 | − | 7.04736i | −1.79837 | − | 0.236761i | |||||
2.21036 | − | 4.48216i | 0.0742166 | − | 0.150496i | −0.856602 | − | 0.515977i | ||
0.930819 | + | 0.365481i | ||||||||
−10.5713 | − | 10.5713i | −0.354749 | − | 0.354749i | |||||
−49.2743 | + | 14.5034i | −1.65261 | + | 0.486429i | |||||
−48.3419 | − | 32.3010i | −1.62042 | − | 1.08273i | |||||
−4.04531 | − | 4.61279i | −0.135523 | − | 0.154534i | |||||
−24.4229 | − | 31.8286i | −0.817740 | − | 1.06570i | |||||
4.54967 | + | 5.92924i | 0.152249 | + | 0.198415i | |||||
15.4488 | + | 17.6160i | 0.516686 | + | 0.589167i | |||||
47.5045 | + | 31.7415i | 1.58790 | + | 1.06100i | |||||
−26.1238 | + | 27.4339i | −0.872734 | + | 0.916503i | |||||
2.59049 | + | 2.59049i | 0.0864940 | + | 0.0864940i | |||||
−29.3774 | + | 59.5715i | −0.980337 | + | 1.98793i | |||||
4.45816 | + | 0.586927i | 0.148688 | + | 0.0195751i | |||||
−2.11899 | − | 1.22340i | −0.0706330 | − | 0.0407800i | |||||
−1.28122 | + | 1.34568i | −0.0426837 | + | 0.0448312i | |||||
− | 21.1579i | − | 0.704480i | |||||||
−1.52038 | − | 4.14313i | −0.0505950 | − | 0.137875i | |||||
−31.3777 | + | 20.9659i | −1.04361 | + | 0.697315i | |||||
15.6576 | + | 4.19543i | 0.520475 | + | 0.139461i | |||||
−23.9534 | − | 21.0066i | −0.795800 | − | 0.697897i | |||||
28.9530 | − | 14.2780i | 0.961369 | − | 0.474095i | 0.107284 | − | 0.994228i | ||
0.854085 | + | 0.520134i | ||||||||
31.4658 | − | 27.5947i | 1.04423 | − | 0.915764i | |||||
6.95061 | − | 16.7803i | 0.230537 | − | 0.556566i | |||||
−35.2307 | − | 16.3152i | −1.16789 | − | 0.540844i | |||||
−5.72126 | − | 28.7627i | −0.189554 | − | 0.952952i | −0.952046 | − | 0.305954i | ||
0.762492 | − | 0.646997i | ||||||||
−1.79283 | − | 0.117508i | −0.0593665 | − | 0.00389108i | |||||
−60.0356 | + | 68.4575i | −1.98689 | + | 2.26561i | |||||
−4.33047 | + | 1.16035i | −0.143239 | + | 0.0383809i | |||||
17.2306 | + | 8.49720i | 0.569626 | + | 0.280909i | |||||
−10.5561 | − | 25.4847i | −0.348784 | − | 0.842039i | |||||
−19.0365 | − | 12.0570i | −0.628641 | − | 0.398159i | |||||
−4.23612 | − | 8.08381i | −0.139813 | − | 0.266805i | |||||
4.80832 | + | 8.32825i | 0.158612 | + | 0.274724i | 0.934368 | − | 0.356309i | ||
−0.775757 | + | 0.631032i | ||||||||
0.839307 | − | 6.37517i | 0.0276711 | − | 0.210183i | |||||
−0.506294 | − | 7.72455i | −0.0166829 | − | 0.254532i | |||||
−6.71971 | + | 25.0783i | −0.221302 | + | 0.825909i | |||||
4.19179 | − | 21.0735i | 0.137974 | − | 0.693644i | |||||
−5.00050 | + | 46.8010i | −0.164504 | + | 1.53964i | |||||
6.21397 | − | 1.23604i | 0.204314 | − | 0.0406406i | |||||
3.56712 | + | 27.0950i | 0.117223 | + | 0.890396i | |||||
−13.2343 | + | 10.1551i | −0.434673 | + | 0.333536i | |||||
33.8777 | + | 11.4999i | 1.11209 | + | 0.377504i | |||||
1.73830 | − | 26.5213i | 0.0570318 | − | 0.870137i | −0.869503 | − | 0.493928i | ||
0.926535 | − | 0.376209i | ||||||||
4.65874 | + | 0.926682i | 0.152766 | + | 0.0303871i | |||||
6.89218 | − | 5.84554i | 0.225882 | − | 0.191580i | |||||
−16.9369 | − | 25.3478i | −0.554786 | − | 0.830296i | |||||
4.49520 | + | 3.44928i | 0.147166 | + | 0.112925i | |||||
−8.54625 | + | 14.8025i | −0.279642 | + | 0.484354i | |||||
−60.4150 | + | 9.46684i | −1.97578 | + | 0.309599i | |||||
4.72909 | − | 2.73034i | 0.154575 | − | 0.0892440i | |||||
−22.8080 | + | 9.44737i | −0.745104 | + | 0.308632i | −0.722742 | − | 0.691118i | ||
−0.0223617 | + | 0.999750i | ||||||||
38.8431 | − | 71.2473i | 1.26827 | − | 2.32631i | |||||
2.24946 | − | 2.24946i | 0.0734083 | − | 0.0734083i | |||||
−13.0429 | − | 38.4232i | −0.425413 | − | 1.25323i | |||||
20.4337 | + | 41.4355i | 0.666120 | + | 1.35076i | 0.923182 | + | 0.384363i | ||
−0.257062 | + | 0.966395i | ||||||||
−1.86863 | + | 5.50481i | −0.0608833 | + | 0.179356i | |||||
−2.06341 | + | 0.271653i | −0.0671939 | + | 0.00884624i | |||||
−10.2966 | − | 4.26498i | −0.335125 | − | 0.138813i | |||||
2.30235 | − | 5.96709i | 0.0748955 | − | 0.194109i | |||||
12.5854 | − | 18.8355i | 0.409188 | − | 0.612393i | |||||
28.7880 | − | 9.77221i | 0.935484 | − | 0.317554i | 0.188255 | − | 0.982120i | ||
0.747230 | + | 0.664566i | ||||||||
−6.53876 | − | 24.4030i | −0.212369 | − | 0.792572i | |||||
−2.50979 | + | 0.164500i | −0.0814713 | + | 0.00533991i | |||||
−1.46802 | + | 1.91316i | −0.0476287 | + | 0.0620710i | |||||
−3.06344 | −0.0993388 | |||||||||
−7.31965 | + | 20.4508i | −0.237231 | + | 0.662815i | |||||
32.4072 | 1.04977 | 0.524886 | − | 0.851172i | ||||||
0.524886 | + | 0.851172i | ||||||||
0.607242 | − | 0.791373i | 0.0196602 | − | 0.0256216i | |||||
29.6014 | − | 1.94018i | 0.957879 | − | 0.0627827i | |||||
1.58103 | + | 5.90048i | 0.0511342 | + | 0.190835i | |||||
29.4291 | − | 9.98982i | 0.951306 | − | 0.322925i | |||||
40.6472 | − | 60.8329i | 1.31325 | − | 1.96542i | |||||
0.298898 | + | 1.90844i | 0.00965192 | + | 0.0616266i | |||||
28.6994 | + | 11.8877i | 0.926269 | + | 0.383673i | |||||
29.9535 | − | 3.94346i | 0.966243 | − | 0.127208i | |||||
−14.6502 | + | 43.1581i | −0.472341 | + | 1.39147i | |||||
−6.90563 | − | 14.0032i | −0.222531 | − | 0.451248i | |||||
0.270923 | + | 0.798112i | 0.00872583 | + | 0.0257055i | |||||
26.6637 | − | 26.6637i | 0.858336 | − | 0.858336i | |||||
7.82096 | − | 0.191319i | 0.251635 | − | 0.00615559i | |||||
−42.2140 | + | 17.4856i | −1.35751 | + | 0.562299i | −0.938373 | − | 0.345625i | ||
−0.419136 | + | 0.907923i | ||||||||
−45.9425 | + | 26.5249i | −1.47665 | + | 0.852542i | |||||
−4.99711 | + | 1.83419i | −0.160530 | + | 0.0589226i | |||||
23.4641 | − | 40.6410i | 0.753387 | − | 1.30490i | |||||
−20.3350 | − | 15.6036i | −0.652582 | − | 0.500743i | 0.228601 | − | 0.973520i | ||
−0.881182 | + | 0.472777i | ||||||||
1.61091 | + | 2.41090i | 0.0516700 | + | 0.0773297i | |||||
24.2541 | + | 7.57693i | 0.777551 | + | 0.242905i | |||||
58.0915 | + | 11.5551i | 1.86137 | + | 0.370250i | |||||
−0.151356 | + | 2.30924i | −0.00484726 | + | 0.0739549i | |||||
−10.4729 | − | 3.55508i | −0.335230 | − | 0.113795i | |||||
−4.22545 | + | 3.24230i | −0.135184 | + | 0.103730i | −0.674140 | − | 0.738604i | ||
0.538956 | + | 0.842334i | ||||||||
0.222734 | + | 1.69184i | 0.00712226 | + | 0.0540990i | |||||
65.3824 | − | 13.0054i | 2.08963 | − | 0.415654i | |||||
−45.6353 | + | 18.0247i | −1.45777 | + | 0.575777i | |||||
1.83705 | − | 9.23548i | 0.0586525 | − | 0.294866i | |||||
−3.34440 | + | 12.4815i | −0.106724 | + | 0.398300i | |||||
1.29451 | + | 19.7504i | 0.0412885 | + | 0.629941i | 0.967490 | + | 0.252911i | ||
−0.926201 | + | 0.377030i | ||||||||
−0.404916 | + | 3.07564i | −0.0129082 | + | 0.0980479i | |||||
6.45514 | + | 11.1806i | 0.205678 | + | 0.356245i | |||||
46.0429 | − | 4.15431i | 1.46631 | − | 0.132300i | |||||
13.5666 | − | 7.10794i | 0.431831 | − | 0.226248i | |||||
−3.92869 | − | 9.48469i | −0.124988 | − | 0.301748i | |||||
−1.99851 | − | 0.985554i | −0.0635488 | − | 0.0313388i | |||||
31.7110 | − | 8.49694i | 1.00784 | − | 0.270051i | |||||
15.6220 | − | 17.8134i | 0.496248 | − | 0.565862i | −0.448449 | − | 0.893809i | ||
0.944696 | + | 0.327947i | ||||||||
−6.25621 | − | 0.410054i | −0.198635 | − | 0.0130192i | |||||
−2.72909 | − | 13.7201i | −0.0866052 | − | 0.435394i | |||||
−26.4168 | − | 37.5159i | −0.837891 | − | 1.18993i | |||||
16.9084 | − | 40.8204i | 0.536031 | − | 1.29409i | |||||
32.3531 | − | 28.3729i | 1.02515 | − | 0.899030i | |||||
−17.7395 | + | 8.74816i | −0.561816 | + | 0.277057i | −0.700943 | − | 0.713218i | ||
0.139127 | + | 0.990275i | ||||||||
49.7630 | + | 43.6409i | 1.57522 | + | 1.38143i | |||||
−7.25227 | − | 1.94324i | −0.229452 | − | 0.0614814i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 357.2.bl.a.199.3 | yes | 384 | |
7.5 | odd | 6 | inner | 357.2.bl.a.250.22 | yes | 384 | |
17.10 | odd | 16 | inner | 357.2.bl.a.10.22 | ✓ | 384 | |
119.61 | even | 48 | inner | 357.2.bl.a.61.3 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
357.2.bl.a.10.22 | ✓ | 384 | 17.10 | odd | 16 | inner | |
357.2.bl.a.61.3 | yes | 384 | 119.61 | even | 48 | inner | |
357.2.bl.a.199.3 | yes | 384 | 1.1 | even | 1 | trivial | |
357.2.bl.a.250.22 | yes | 384 | 7.5 | odd | 6 | inner |