Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(36,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 91.q (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 12.0.58891012706304.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 43.4 | ||
Root | of defining polynomial | ||
Character | 91.43 | ||
Dual form | 91.2.q.a.36.4 |
-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 .
0.713220 | + | 0.411778i | 0.504323 | + | 0.291171i | 0.730497 | − | 0.682916i | ||
−0.226174 | + | 0.974087i | ||||||||
−1.33015 | + | 2.30388i | −0.767960 | + | 1.33015i | 0.170707 | + | 0.985322i | ||
−0.938667 | + | 0.344824i | ||||||||
−0.660878 | − | 1.14467i | −0.330439 | − | 0.572337i | |||||
3.16209i | 1.41413i | 0.707148 | + | 0.707065i | ||||||
−0.707148 | + | 0.707065i | ||||||||
−1.89737 | + | 1.09545i | −0.774600 | + | 0.447215i | |||||
0.866025 | − | 0.500000i | 0.327327 | − | 0.188982i | |||||
− | 2.73565i | − | 0.967199i | |||||||
−2.03858 | − | 3.53092i | −0.679526 | − | 1.17697i | |||||
−1.30208 | + | 2.25527i | −0.411754 | + | 0.713179i | |||||
5.14653 | + | 2.97135i | 1.55174 | + | 0.895895i | 0.998001 | + | 0.0632025i | ||
0.553735 | + | 0.832693i | ||||||||
3.51626 | 1.01506 | |||||||||
−0.0766193 | − | 3.60474i | −0.0212504 | − | 0.999774i | |||||
0.823556 | 0.220105 | |||||||||
−7.28508 | − | 4.20604i | −1.88100 | − | 1.08600i | |||||
−0.195274 | + | 0.338225i | −0.0488186 | + | 0.0845563i | |||||
−1.34982 | − | 2.33796i | −0.327380 | − | 0.567038i | 0.654611 | − | 0.755966i | ||
−0.981991 | + | 0.188927i | ||||||||
− | 3.35776i | − | 0.791433i | |||||||
1.69485 | − | 0.978524i | 0.388826 | − | 0.224489i | −0.292825 | − | 0.956166i | ||
0.681651 | + | 0.731677i | ||||||||
3.61956 | − | 2.08976i | 0.809359 | − | 0.467284i | |||||
2.66029i | 0.580523i | |||||||||
2.44707 | + | 4.23845i | 0.521717 | + | 0.903641i | |||||
−1.36471 | + | 2.36374i | −0.284561 | + | 0.492874i | −0.972503 | − | 0.232892i | ||
0.687941 | + | 0.725766i | ||||||||
6.30261 | + | 3.63882i | 1.28652 | + | 0.742770i | |||||
−4.99883 | −0.999766 | |||||||||
1.42970 | − | 2.60252i | 0.280388 | − | 0.510397i | |||||
2.86554 | 0.551474 | |||||||||
−1.14467 | − | 0.660878i | −0.216323 | − | 0.124894i | |||||
2.99923 | − | 5.19481i | 0.556942 | − | 0.964652i | −0.440807 | − | 0.897602i | ||
0.997750 | − | 0.0670505i | ||||||||
−3.46391 | − | 5.99967i | −0.632421 | − | 1.09539i | |||||
1.15155i | 0.206824i | 0.994639 | + | 0.103412i | ||||||
−0.994639 | + | 0.103412i | ||||||||
−5.01684 | + | 2.89647i | −0.886860 | + | 0.512029i | |||||
−13.6913 | + | 7.90465i | −2.38334 | + | 1.37602i | |||||
− | 2.22331i | − | 0.381294i | |||||||
1.58105 | + | 2.73845i | 0.267246 | + | 0.462883i | |||||
−2.69450 | + | 4.66701i | −0.449083 | + | 0.777835i | |||||
−5.63310 | − | 3.25227i | −0.926075 | − | 0.534670i | −0.0405072 | − | 0.999179i | ||
−0.885568 | + | 0.464509i | ||||||||
1.61174 | 0.261459 | |||||||||
8.40680 | + | 4.61830i | 1.34617 | + | 0.739521i | |||||
8.65038 | 1.36775 | |||||||||
−3.23351 | − | 1.86687i | −0.504990 | − | 0.291556i | 0.225782 | − | 0.974178i | ||
−0.730772 | + | 0.682622i | ||||||||
−1.09545 | + | 1.89737i | −0.169032 | + | 0.292771i | |||||
3.49562 | + | 6.05460i | 0.533078 | + | 0.923318i | 0.999254 | + | 0.0386258i | ||
−0.466176 | + | 0.884692i | ||||||||
− | 7.85479i | − | 1.18415i | |||||||
11.1651 | − | 6.44617i | 1.66439 | − | 0.960938i | |||||
−1.94667 | + | 1.12391i | −0.287021 | + | 0.165712i | |||||
− | 0.456071i | − | 0.0665248i | −0.999447 | − | 0.0332624i | ||||
0.999447 | − | 0.0332624i | ||||||||
−0.519487 | − | 0.899778i | −0.0749815 | − | 0.129872i | |||||
0.500000 | − | 0.866025i | 0.0714286 | − | 0.123718i | |||||
−3.56527 | − | 2.05841i | −0.504205 | − | 0.291103i | |||||
7.18184 | 1.00566 | |||||||||
−4.07561 | + | 2.46999i | −0.565186 | + | 0.342527i | |||||
0.399286 | 0.0548462 | 0.0274231 | − | 0.999624i | ||||||
0.0274231 | + | 0.999624i | ||||||||
2.04376 | + | 1.17997i | 0.278121 | + | 0.160573i | |||||
−9.39568 | + | 16.2738i | −1.26691 | + | 2.19436i | |||||
−1.36783 | − | 2.36914i | −0.182783 | − | 0.316590i | |||||
5.20632i | 0.689594i | |||||||||
4.27822 | − | 2.47003i | 0.561758 | − | 0.324331i | |||||
4.16200 | − | 2.40293i | 0.541846 | − | 0.312835i | −0.203981 | − | 0.978975i | ||
0.745827 | + | 0.666140i | ||||||||
11.1187i | 1.43542i | |||||||||
0.578514 | + | 1.00201i | 0.0740711 | + | 0.128295i | 0.900682 | − | 0.434479i | ||
−0.826611 | + | 0.562774i | ||||||||
−0.474182 | + | 0.821308i | −0.0602212 | + | 0.104306i | |||||
−3.53092 | − | 2.03858i | −0.444854 | − | 0.256837i | |||||
−3.98971 | −0.498714 | |||||||||
11.3985 | − | 0.242277i | 1.41381 | − | 0.0300508i | |||||
−13.0199 | −1.60263 | |||||||||
−5.43793 | − | 3.13959i | −0.664349 | − | 0.383562i | 0.129583 | − | 0.991569i | ||
−0.793932 | + | 0.608007i | ||||||||
−1.78413 | + | 3.09021i | −0.216358 | + | 0.374743i | |||||
−3.63052 | − | 6.28825i | −0.437063 | − | 0.757016i | |||||
2.60416i | 0.311257i | |||||||||
3.90335 | − | 2.25360i | 0.463242 | − | 0.267453i | −0.250165 | − | 0.968203i | ||
0.713406 | + | 0.700751i | ||||||||
−9.65936 | + | 5.57684i | −1.13837 | + | 0.657236i | |||||
− | 8.30575i | − | 0.972115i | −0.873927 | − | 0.486057i | ||||
0.873927 | − | 0.486057i | ||||||||
−2.67843 | − | 4.63917i | −0.311361 | − | 0.539293i | |||||
6.64917 | − | 11.5167i | 0.767780 | − | 1.32983i | |||||
−2.24018 | − | 1.29337i | −0.256966 | − | 0.148360i | |||||
5.94270 | 0.677233 | |||||||||
4.09418 | + | 6.75560i | 0.463575 | + | 0.764921i | |||||
−7.91410 | −0.890405 | −0.445203 | − | 0.895430i | ||||||
−0.445203 | + | 0.895430i | ||||||||
−1.06950 | − | 0.617476i | −0.119574 | − | 0.0690359i | |||||
2.30414 | − | 3.99089i | 0.256016 | − | 0.443432i | |||||
−1.53747 | − | 2.66298i | −0.169785 | − | 0.294077i | |||||
− | 6.19795i | − | 0.680313i | −0.940369 | − | 0.340156i | ||||
0.940369 | − | 0.340156i | ||||||||
3.04517 | − | 1.75813i | 0.332255 | − | 0.191827i | |||||
7.39284 | − | 4.26826i | 0.801866 | − | 0.462958i | |||||
5.75769i | 0.620867i | |||||||||
7.97882 | + | 13.8197i | 0.855419 | + | 1.48163i | |||||
8.12857 | − | 14.0791i | 0.866509 | − | 1.50084i | |||||
3.08423 | + | 1.78068i | 0.326928 | + | 0.188752i | 0.654476 | − | 0.756083i | ||
−0.327549 | + | 0.944834i | ||||||||
10.6176 | 1.11919 | |||||||||
−1.86872 | − | 3.08348i | −0.195895 | − | 0.323237i | |||||
3.60762 | 0.376120 | |||||||||
−2.65303 | − | 1.53173i | −0.275106 | − | 0.158833i | |||||
0.187800 | − | 0.325279i | 0.0193701 | − | 0.0335500i | |||||
3.09418 | + | 5.35928i | 0.317457 | + | 0.549851i | |||||
− | 15.4109i | − | 1.57287i | |||||||
−2.96831 | + | 1.71375i | −0.301386 | + | 0.174005i | −0.643065 | − | 0.765811i | ||
0.341679 | + | 0.939817i | ||||||||
0.713220 | − | 0.411778i | 0.0720461 | − | 0.0415959i | |||||
− | 24.2293i | − | 2.43513i | |||||||
3.30361 | + | 5.72203i | 0.330361 | + | 0.572203i | |||||
−6.66474 | + | 11.5437i | −0.663167 | + | 1.14864i | 0.316612 | + | 0.948555i | ||
−0.979779 | + | 0.200084i | ||||||||
5.12223 | + | 2.95732i | 0.507177 | + | 0.292819i | |||||
−11.6450 | −1.14741 | −0.573706 | − | 0.819061i | ||||||
−0.573706 | + | 0.819061i | ||||||||
−9.86130 | + | 0.209604i | −0.966981 | + | 0.0205533i | |||||
−8.41209 | −0.820936 | |||||||||
0.284779 | + | 0.164417i | 0.0276602 | + | 0.0159696i | |||||
−1.96483 | + | 3.40318i | −0.189947 | + | 0.328998i | −0.945232 | − | 0.326398i | ||
0.755285 | + | 0.655396i | ||||||||
−1.89377 | − | 3.28011i | −0.182228 | − | 0.315629i | |||||
− | 11.2533i | − | 1.07787i | −0.842346 | − | 0.538936i | ||||
0.842346 | − | 0.538936i | ||||||||
−13.4024 | + | 7.73787i | −1.27787 | + | 0.737777i | |||||
14.9857 | − | 8.65199i | 1.42238 | − | 0.821210i | |||||
0.390549i | 0.0369034i | |||||||||
2.88709 | + | 5.00059i | 0.271595 | + | 0.470416i | 0.969270 | − | 0.245998i | ||
−0.697676 | + | 0.716414i | ||||||||
−2.14385 | + | 3.71325i | −0.200790 | + | 0.347778i | |||||
−7.47437 | − | 4.31533i | −0.696989 | − | 0.402407i | |||||
−7.92849 | −0.736142 | |||||||||
−12.5718 | + | 7.61907i | −1.16227 | + | 0.704383i | |||||
3.95790 | 0.364354 | |||||||||
−2.33796 | − | 1.34982i | −0.214320 | − | 0.123738i | |||||
−11.5063 | + | 19.9294i | −1.05037 | + | 1.81930i | |||||
12.1578 | + | 21.0580i | 1.10526 | + | 1.91436i | |||||
0.952877i | 0.0862694i | |||||||||
8.60209 | − | 4.96642i | 0.775625 | − | 0.447807i | |||||
1.31815 | − | 0.761033i | 0.118373 | − | 0.0683428i | |||||
0.00370455i | 0.000331345i | |||||||||
−1.67888 | − | 2.90791i | −0.149567 | − | 0.259057i | |||||
3.06558 | − | 5.30975i | 0.272027 | − | 0.471164i | −0.697354 | − | 0.716727i | ||
0.969381 | + | 0.245563i | ||||||||
7.18812 | + | 4.15007i | 0.635346 | + | 0.366817i | |||||
−18.5988 | −1.63753 | |||||||||
8.22942 | + | 4.52086i | 0.721767 | + | 0.396506i | |||||
10.2217 | 0.893073 | 0.446537 | − | 0.894765i | ||||||
0.446537 | + | 0.894765i | ||||||||
18.0965 | + | 10.4480i | 1.57510 | + | 0.909383i | |||||
0.978524 | − | 1.69485i | 0.0848488 | − | 0.146962i | |||||
−2.58563 | − | 4.47844i | −0.223364 | − | 0.386878i | |||||
9.06111i | 0.779856i | |||||||||
−6.39584 | + | 3.69264i | −0.548439 | + | 0.316641i | |||||
−17.2751 | + | 9.97376i | −1.47591 | + | 0.852116i | −0.999631 | − | 0.0271788i | ||
−0.476278 | + | 0.879295i | ||||||||
− | 5.97987i | − | 0.509041i | |||||||
10.1637 | + | 17.6041i | 0.862077 | + | 1.49316i | 0.869921 | + | 0.493192i | ||
−0.00784365 | + | 0.999969i | ||||||||
2.08976 | − | 3.61956i | 0.176617 | − | 0.305909i | |||||
1.05073 | + | 0.606641i | 0.0884877 | + | 0.0510884i | |||||
3.71193 | 0.311498 | |||||||||
10.3166 | − | 18.7795i | 0.862718 | − | 1.57042i | |||||
1.59233 | 0.132694 | |||||||||
16.4265 | + | 9.48383i | 1.36414 | + | 0.787589i | |||||
3.42013 | − | 5.92383i | 0.283052 | − | 0.490260i | |||||
1.33015 | + | 2.30388i | 0.109709 | + | 0.190021i | |||||
8.59741i | 0.706703i | |||||||||
−9.28046 | + | 5.35808i | −0.760285 | + | 0.438951i | −0.829398 | − | 0.558658i | ||
0.0691132 | + | 0.997609i | ||||||||
9.48465 | − | 5.47597i | 0.774418 | − | 0.447111i | |||||
8.74416i | 0.711590i | 0.934564 | + | 0.355795i | ||||||
−0.934564 | + | 0.355795i | ||||||||
−2.67690 | − | 4.63653i | −0.217125 | − | 0.376072i | |||||
−5.50343 | + | 9.53222i | −0.444926 | + | 0.770634i | |||||
4.23845 | + | 2.44707i | 0.341544 | + | 0.197191i | |||||
−3.64130 | −0.292476 | |||||||||
−0.269413 | − | 12.6752i | −0.0215703 | − | 1.01483i | |||||
6.50734 | 0.519342 | 0.259671 | − | 0.965697i | ||||||
0.259671 | + | 0.965697i | ||||||||
−5.64449 | − | 3.25885i | −0.449052 | − | 0.259260i | |||||
−0.531109 | + | 0.919907i | −0.0421197 | + | 0.0729534i | |||||
−9.15891 | − | 15.8637i | −0.724075 | − | 1.25414i | |||||
2.72941i | 0.215108i | |||||||||
3.28672 | − | 1.89759i | 0.258229 | − | 0.149089i | |||||
2.26264 | − | 1.30634i | 0.177224 | − | 0.102320i | −0.408764 | − | 0.912640i | ||
0.585988 | + | 0.810320i | ||||||||
4.93509i | 0.385366i | |||||||||
−24.9952 | − | 43.2930i | −1.94588 | − | 3.37036i | |||||
2.55218 | − | 4.42050i | 0.198087 | − | 0.343097i | |||||
−3.36558 | − | 1.94312i | −0.260436 | − | 0.150363i | 0.364097 | − | 0.931361i | ||
−0.624534 | + | 0.780998i | ||||||||
7.27763 | 0.561482 | |||||||||
−12.9883 | + | 0.552385i | −0.999097 | + | 0.0424911i | |||||
7.03030 | 0.539200 | |||||||||
−6.91018 | − | 3.98959i | −0.528434 | − | 0.305092i | |||||
4.62036 | − | 8.00270i | 0.352299 | − | 0.610200i | |||||
6.98838 | + | 12.1042i | 0.531317 | + | 0.920267i | 0.999332 | + | 0.0365470i | ||
−0.468015 | + | 0.883720i | ||||||||
13.1420i | 0.996293i | |||||||||
−4.32911 | + | 2.49941i | −0.327250 | + | 0.188938i | |||||
−2.00997 | + | 1.16046i | −0.151507 | + | 0.0874727i | |||||
12.7850i | 0.960979i | |||||||||
1.46649 | + | 2.54004i | 0.109918 | + | 0.190384i | |||||
−12.6422 | + | 21.8968i | −0.944919 | + | 1.63665i | −0.189005 | + | 0.981976i | ||
−0.755914 | + | 0.654671i | ||||||||
−14.7575 | − | 8.52026i | −1.09996 | − | 0.635063i | |||||
−0.864474 | −0.0642559 | −0.0321279 | − | 0.999484i | ||||||
−0.0321279 | + | 0.999484i | ||||||||
−0.0631003 | − | 2.96870i | −0.00467730 | − | 0.220055i | |||||
−3.07803 | −0.227535 | |||||||||
6.46638 | + | 3.73336i | 0.476708 | + | 0.275227i | |||||
10.2840 | − | 17.8124i | 0.756093 | − | 1.30959i | |||||
−1.26146 | − | 2.18492i | −0.0924950 | − | 0.160206i | |||||
− | 16.0432i | − | 1.17319i | |||||||
−0.522052 | + | 0.301407i | −0.0380746 | + | 0.0219824i | |||||
2.48163 | − | 1.43277i | 0.180512 | − | 0.104219i | |||||
5.09647i | 0.369737i | |||||||||
−7.33382 | − | 12.7026i | −0.530657 | − | 0.919125i | −0.999360 | − | 0.0357690i | ||
0.468703 | − | 0.883356i | ||||||||
5.30690 | − | 9.19182i | 0.382993 | − | 0.663363i | |||||
14.2859 | + | 8.24794i | 1.02832 | + | 0.593700i | 0.916503 | − | 0.400029i | ||
0.111816 | + | 0.993729i | ||||||||
−2.82275 | −0.202661 | |||||||||
−14.6035 | + | 26.5831i | −1.04578 | + | 1.90365i | |||||
−1.32176 | −0.0944111 | |||||||||
9.53510 | + | 5.50509i | 0.679348 | + | 0.392222i | 0.799609 | − | 0.600521i | ||
−0.120262 | + | 0.992742i | ||||||||
9.97709 | − | 17.2808i | 0.709041 | − | 1.22809i | |||||
−10.6059 | − | 18.3699i | −0.751829 | − | 1.30221i | −0.946935 | − | 0.321425i | ||
0.195106 | − | 0.980782i | ||||||||
13.6751i | 0.966972i | |||||||||
14.4665 | − | 8.35223i | 1.02039 | − | 0.589121i | |||||
−9.50686 | + | 5.48879i | −0.668901 | + | 0.386190i | |||||
− | 5.99845i | − | 0.421009i | |||||||
−4.74632 | − | 8.22086i | −0.332309 | − | 0.575576i | |||||
5.90322 | − | 10.2247i | 0.412299 | − | 0.714122i | |||||
−8.30542 | − | 4.79514i | −0.578666 | − | 0.334093i | |||||
11.1282 | 0.773466 | |||||||||
1.23417 | + | 0.677998i | 0.0855746 | + | 0.0470107i | |||||
11.6301 | 0.804474 | |||||||||
−5.99967 | − | 3.46391i | −0.414017 | − | 0.239033i | |||||
8.96788 | − | 15.5328i | 0.617375 | − | 1.06932i | −0.372588 | − | 0.927997i | ||
0.989963 | − | 0.141327i | ||||||||
−0.263879 | − | 0.457052i | −0.0181233 | − | 0.0313905i | |||||
11.9905i | 0.821572i | |||||||||
−2.80271 | + | 1.61815i | −0.191589 | + | 0.110614i | |||||
−19.1452 | + | 11.0535i | −1.30569 | + | 0.753842i | |||||
− | 7.83913i | − | 0.533385i | |||||||
0.575774 | + | 0.997270i | 0.0390861 | + | 0.0676991i | |||||
4.63387 | − | 8.02610i | 0.313845 | − | 0.543596i | |||||
19.1355 | + | 11.0479i | 1.29305 | + | 0.746545i | |||||
24.8376 | 1.67455 | |||||||||
−8.32431 | + | 5.04488i | −0.559953 | + | 0.339356i | |||||
14.2508 | 0.956451 | |||||||||
−13.8834 | − | 8.01558i | −0.929700 | − | 0.536763i | −0.0429835 | − | 0.999076i | ||
−0.886717 | + | 0.462313i | ||||||||
−2.89647 | + | 5.01684i | −0.193529 | + | 0.335201i | |||||
10.1905 | + | 17.6505i | 0.679366 | + | 1.17670i | |||||
4.75536i | 0.316322i | |||||||||
−14.1812 | + | 8.18751i | −0.941239 | + | 0.543424i | −0.890348 | − | 0.455280i | ||
−0.0508902 | + | 0.998704i | ||||||||
5.95954 | − | 3.44074i | 0.394680 | − | 0.227869i | |||||
− | 27.0104i | − | 1.78490i | −0.451148 | − | 0.892449i | ||||
0.451148 | − | 0.892449i | ||||||||
−3.55392 | − | 6.15556i | −0.234338 | − | 0.405886i | |||||
−7.90465 | + | 13.6913i | −0.520088 | + | 0.900819i | |||||
−14.2112 | − | 8.20484i | −0.933011 | − | 0.538674i | |||||
−11.5681 | −0.757853 | −0.378926 | − | 0.925427i | ||||||
−0.378926 | + | 0.925427i | ||||||||
−12.1039 | + | 0.257269i | −0.791254 | + | 0.0168182i | |||||
1.44214 | 0.0940747 | |||||||||
−5.50114 | − | 3.17609i | −0.358094 | − | 0.206746i | |||||
10.5269 | − | 18.2331i | 0.683796 | − | 1.18437i | |||||
−1.11165 | − | 1.92544i | −0.0720578 | − | 0.124808i | |||||
14.6731i | 0.949122i | 0.880223 | + | 0.474561i | ||||||
−0.880223 | + | 0.474561i | ||||||||
2.84518 | − | 1.64267i | 0.183656 | − | 0.106034i | |||||
12.4246 | − | 7.17334i | 0.800338 | − | 0.462076i | −0.0432510 | − | 0.999064i | ||
0.843589 | + | 0.536989i | ||||||||
20.0253i | 1.28727i | |||||||||
10.4280 | + | 18.0618i | 0.668956 | + | 1.15867i | |||||
0.764654 | − | 1.32442i | 0.0489519 | − | 0.0847872i | |||||
2.73845 | + | 1.58105i | 0.174953 | + | 0.101009i | |||||
8.18025 | 0.521554 | |||||||||
−3.65718 | − | 6.03453i | −0.232701 | − | 0.383968i | |||||
3.15024 | 0.200040 | |||||||||
14.2793 | + | 8.24417i | 0.904916 | + | 0.522453i | |||||
−0.00152545 | + | 0.00264216i | −9.64781e−5 | + | 0.000167105i | |||||
4.30726 | + | 7.46040i | 0.271872 | + | 0.470896i | 0.969341 | − | 0.245719i | ||
−0.697469 | + | 0.716615i | ||||||||
5.38900i | 0.339475i | |||||||||
−14.0470 | + | 8.11004i | −0.883128 | + | 0.509874i | |||||
4.37287 | − | 2.52468i | 0.274378 | − | 0.158412i | |||||
22.7096i | 1.42213i | |||||||||
7.40753 | + | 12.8302i | 0.462970 | + | 0.801888i | |||||
5.18197 | − | 8.97544i | 0.323243 | − | 0.559873i | −0.657912 | − | 0.753094i | ||
0.981155 | + | 0.193222i | ||||||||
−13.2650 | − | 7.65856i | −0.825844 | − | 0.476801i | |||||
−6.50454 | −0.404172 | |||||||||
−7.81035 | − | 12.8875i | −0.484377 | − | 0.799247i | |||||
−24.4566 | −1.51383 | |||||||||
7.29032 | + | 4.20907i | 0.450397 | + | 0.260037i | |||||
11.0413 | − | 19.1241i | 0.680835 | − | 1.17924i | −0.293891 | − | 0.955839i | ||
0.974726 | − | 0.223403i | ||||||||
21.6244 | + | 37.4545i | 1.33089 | + | 2.30517i | |||||
1.26258i | 0.0775596i | |||||||||
1.39581 | − | 0.805869i | 0.0855824 | − | 0.0494110i | |||||
−8.20495 | + | 4.73713i | −0.502135 | + | 0.289908i | |||||
8.29954i | 0.506975i | |||||||||
−6.46995 | − | 11.2063i | −0.394480 | − | 0.683259i | 0.598555 | − | 0.801082i | ||
−0.993035 | + | 0.117823i | ||||||||
−3.73117 | + | 6.46257i | −0.227072 | + | 0.393299i | |||||
−15.3069 | − | 8.83745i | −0.929829 | − | 0.536837i | −0.0430712 | − | 0.999072i | ||
−0.886757 | + | 0.462235i | ||||||||
1.05434 | 0.0639289 | |||||||||
9.58965 | − | 0.203830i | 0.580392 | − | 0.0123363i | |||||
−16.4279 | −0.992446 | |||||||||
−25.7266 | − | 14.8533i | −1.55137 | − | 0.895685i | |||||
−4.79866 | + | 8.31152i | −0.288845 | + | 0.500295i | |||||
−9.00751 | − | 15.6015i | −0.541209 | − | 0.937401i | −0.998835 | − | 0.0482562i | ||
0.457626 | − | 0.889145i | ||||||||
16.7408i | 1.00405i | |||||||||
4.06602 | − | 2.34752i | 0.243426 | − | 0.140542i | |||||
7.49145 | − | 4.32519i | 0.447700 | − | 0.258480i | |||||
− | 2.44178i | − | 0.145665i | −0.997344 | − | 0.0728323i | ||||
0.997344 | − | 0.0728323i | ||||||||
0.499603 | + | 0.865337i | 0.0297509 | + | 0.0515301i | |||||
−14.3620 | + | 24.8757i | −0.853732 | + | 1.47871i | 0.0240853 | + | 0.999710i | ||
−0.877817 | + | 0.478996i | ||||||||
−5.15927 | − | 2.97871i | −0.306146 | − | 0.176754i | |||||
−16.4629 | −0.975176 | |||||||||
15.0910 | − | 9.14580i | 0.892350 | − | 0.540802i | |||||
−3.73374 | −0.220396 | |||||||||
20.4544 | + | 11.8094i | 1.20529 | + | 0.695873i | |||||
4.85596 | − | 8.41078i | 0.285645 | − | 0.494752i | |||||
7.81046 | + | 13.5281i | 0.458646 | + | 0.794399i | |||||
− | 9.11818i | − | 0.534517i | |||||||
−9.50738 | + | 5.48909i | −0.556377 | + | 0.321225i | |||||
25.4013 | − | 14.6654i | 1.48396 | − | 0.856763i | 0.484124 | − | 0.874999i | ||
0.999834 | + | 0.0182359i | ||||||||
2.19090i | 0.127776i | |||||||||
7.59829 | + | 13.1606i | 0.442390 | + | 0.766241i | |||||
−8.89708 | + | 15.4102i | −0.517132 | + | 0.895699i | |||||
14.7476 | + | 8.51453i | 0.855742 | + | 0.494063i | |||||
−8.82535 | −0.511239 | |||||||||
8.62523 | + | 4.73830i | 0.498810 | + | 0.274023i | |||||
−17.5772 | −1.01482 | |||||||||
6.05460 | + | 3.49562i | 0.348981 | + | 0.201484i | |||||
−3.60065 | + | 6.23651i | −0.207194 | + | 0.358871i | |||||
−17.7302 | − | 30.7096i | −1.01857 | − | 1.76422i | |||||
0.764323i | 0.0438369i | |||||||||
−3.16846 | + | 1.82931i | −0.181426 | + | 0.104746i | |||||
−7.85032 | + | 4.53238i | −0.448773 | + | 0.259099i | |||||
7.06910i | 0.403455i | 0.979442 | + | 0.201728i | ||||||
−0.979442 | + | 0.201728i | ||||||||
−3.92740 | − | 6.80245i | −0.223784 | − | 0.387606i | |||||
15.4895 | − | 26.8286i | 0.881166 | − | 1.52623i | |||||
−2.59705 | − | 1.49941i | −0.147503 | − | 0.0851607i | |||||
22.2686 | 1.26274 | 0.631368 | − | 0.775483i | ||||||
0.631368 | + | 0.775483i | ||||||||
12.6341 | − | 22.9981i | 0.715264 | − | 1.30201i | |||||
−28.0840 | −1.58740 | −0.793700 | − | 0.608309i | ||||||
−0.793700 | + | 0.608309i | ||||||||
4.64117 | + | 2.67958i | 0.261916 | + | 0.151217i | |||||
6.44617 | − | 11.1651i | 0.363200 | − | 0.629082i | |||||
5.23025 | + | 9.05906i | 0.294225 | + | 0.509612i | |||||
19.5155i | 1.09610i | 0.836446 | + | 0.548049i | ||||||
−0.836446 | + | 0.548049i | ||||||||
−0.757595 | + | 0.437398i | −0.0424838 | + | 0.0245281i | |||||
30.8712 | − | 17.8235i | 1.72845 | − | 0.997924i | |||||
− | 12.6158i | − | 0.705247i | |||||||
−5.22702 | − | 9.05346i | −0.291744 | − | 0.505315i | |||||
−1.12391 | + | 1.94667i | −0.0626332 | + | 0.108484i | |||||
−4.57550 | − | 2.64167i | −0.254588 | − | 0.146986i | |||||
−6.09102 | −0.338390 | |||||||||
0.383007 | + | 18.0195i | 0.0212454 | + | 0.999540i | |||||
2.15168 | 0.119171 | |||||||||
25.9263 | + | 14.9686i | 1.43373 | + | 0.827764i | |||||
−5.10711 | + | 8.84577i | −0.281993 | + | 0.488426i | |||||
−0.228035 | − | 0.394969i | −0.0125720 | − | 0.0217753i | |||||
− | 41.1700i | − | 2.26633i | |||||||
13.5367 | − | 7.81539i | 0.744042 | − | 0.429573i | −0.0794953 | − | 0.996835i | ||
0.823537 | + | 0.567263i | ||||||||
−7.09463 | + | 4.09609i | −0.389368 | + | 0.224802i | |||||
26.5200i | 1.45329i | |||||||||
−1.60027 | − | 2.77174i | −0.0875627 | − | 0.151663i | |||||
9.92767 | − | 17.1952i | 0.542407 | − | 0.939476i | |||||
−0.899778 | − | 0.519487i | −0.0490869 | − | 0.0283403i | |||||
21.7501 | 1.18480 | 0.592401 | − | 0.805643i | ||||||
0.592401 | + | 0.805643i | ||||||||
−9.49095 | − | 4.95431i | −0.516240 | − | 0.269479i | |||||
−15.3610 | −0.834295 | |||||||||
−9.77153 | − | 5.64160i | −0.529936 | − | 0.305959i | |||||
−3.42165 | + | 5.92647i | −0.185293 | + | 0.320937i | |||||
−3.28565 | − | 5.69092i | −0.177668 | − | 0.307730i | |||||
− | 1.00000i | − | 0.0539949i | |||||||
16.5633 | − | 9.56281i | 0.893032 | − | 0.515592i | |||||
19.8840 | − | 11.4800i | 1.07052 | − | 0.618065i | |||||
11.5106i | 0.618816i | |||||||||
7.97952 | + | 13.8209i | 0.428363 | + | 0.741946i | 0.996728 | − | 0.0808303i | ||
−0.568365 | + | 0.822777i | ||||||||
10.5460 | − | 18.2663i | 0.565327 | − | 0.979176i | |||||
5.90375 | + | 3.40853i | 0.316021 | + | 0.182455i | 0.649617 | − | 0.760261i | ||
−0.333597 | + | 0.942716i | ||||||||
−4.11682 | −0.220053 | |||||||||
−0.219556 | − | 10.3295i | −0.0117190 | − | 0.551349i | |||||
−34.4257 | −1.83490 | |||||||||
12.1272 | + | 7.00163i | 0.645465 | + | 0.372659i | 0.786716 | − | 0.617314i | ||
−0.141252 | + | 0.989974i | ||||||||
−5.26458 | + | 9.11852i | −0.279809 | + | 0.484644i | |||||
7.12608 | + | 12.3427i | 0.378213 | + | 0.655085i | |||||
− | 4.70725i | − | 0.249484i | |||||||
6.21965 | − | 3.59092i | 0.329179 | − | 0.190052i | |||||
−18.0333 | + | 10.4115i | −0.953088 | + | 0.550266i | |||||
− | 5.41494i | − | 0.285789i | −0.989738 | − | 0.142895i | ||||
0.989738 | − | 0.142895i | ||||||||
−17.6345 | − | 30.5438i | −0.929418 | − | 1.60980i | |||||
−7.58498 | + | 13.1376i | −0.399210 | + | 0.691451i | |||||
−0.616561 | − | 0.355972i | −0.0324057 | − | 0.0187094i | |||||
−64.6867 | −3.39517 | |||||||||
−2.29459 | + | 4.17688i | −0.120269 | + | 0.218928i | |||||
26.2636 | 1.37470 | |||||||||
−2.19531 | − | 1.26747i | −0.114751 | − | 0.0662515i | |||||
−15.0159 | + | 26.0083i | −0.783822 | + | 1.35762i | 0.145878 | + | 0.989303i | ||
−0.929700 | + | 0.368317i | ||||||||
−0.532985 | − | 0.923157i | −0.0277838 | − | 0.0481229i | |||||
15.2230i | 0.792480i | |||||||||
14.6695 | − | 8.46943i | 0.762630 | − | 0.440305i | |||||
0.345792 | − | 0.199643i | 0.0179526 | − | 0.0103649i | |||||
4.04914i | 0.209938i | |||||||||
−10.7049 | − | 18.5414i | −0.554278 | − | 0.960037i | −0.997959 | − | 0.0638526i | ||
0.443682 | − | 0.896184i | ||||||||
6.60622 | − | 11.4423i | 0.341599 | − | 0.591668i | |||||
−0.00853484 | − | 0.00492759i | −0.000440737 | − | 0.000254460i | |||||
−1.24765 | −0.0643427 | |||||||||
−18.9557 | − | 10.4134i | −0.976270 | − | 0.536317i | |||||
2.35994 | 0.121382 | |||||||||
−8.20693 | − | 4.73827i | −0.421562 | − | 0.243389i | 0.274184 | − | 0.961677i | ||
−0.695745 | + | 0.718289i | ||||||||
4.08975 | − | 7.08366i | 0.209800 | − | 0.363384i | |||||
8.15535 | + | 14.1255i | 0.417811 | + | 0.723670i | |||||
− | 12.0796i | − | 0.618048i | |||||||
−4.70304 | + | 2.71530i | −0.240314 | + | 0.138746i | −0.615321 | − | 0.788277i | ||
0.375007 | + | 0.927022i | ||||||||
−19.1225 | + | 11.0404i | −0.975842 | + | 0.563402i | |||||
18.7914i | 0.957696i | |||||||||
6.79264 | + | 11.7652i | 0.345736 | + | 0.598833i | |||||
14.2522 | − | 24.6855i | 0.724480 | − | 1.25484i | |||||
3.92338 | + | 2.26516i | 0.199179 | + | 0.114996i | |||||
10.6422 | 0.539580 | 0.269790 | − | 0.962919i | ||||||
0.269790 | + | 0.962919i | ||||||||
−21.3618 | + | 12.9462i | −1.08170 | + | 0.655556i | |||||
7.36845 | 0.372638 | |||||||||
−2.36914 | − | 1.36783i | −0.119660 | − | 0.0690856i | |||||
−13.5963 | + | 23.5495i | −0.685845 | + | 1.18792i | |||||
4.53375 | + | 7.85269i | 0.228407 | + | 0.395613i | |||||
− | 25.0251i | − | 1.25915i | |||||||
−27.7346 | + | 16.0126i | −1.39372 | + | 0.804663i | |||||
32.2035 | − | 18.5927i | 1.61625 | − | 0.933140i | 0.628367 | − | 0.777917i | ||
0.987879 | − | 0.155223i | ||||||||
− | 17.4690i | − | 0.875644i | |||||||
2.60316 | + | 4.50880i | 0.130321 | + | 0.225723i | |||||
0.976143 | − | 1.69073i | 0.0488072 | − | 0.0845365i | |||||
−0.776487 | − | 0.448305i | −0.0387759 | − | 0.0223873i | 0.480487 | − | 0.877002i | ||
−0.519263 | + | 0.854615i | ||||||||
13.7571 | 0.686139 | |||||||||
4.15103 | − | 0.0882308i | 0.206777 | − | 0.00439509i | |||||
17.6183 | 0.876545 | |||||||||
12.6196 | + | 7.28590i | 0.627071 | + | 0.362039i | |||||
2.47003 | − | 4.27822i | 0.122586 | − | 0.212324i | |||||
−19.3273 | − | 33.4758i | −0.958016 | − | 1.65933i | |||||
− | 19.6470i | − | 0.972672i | |||||||
21.2846 | − | 12.2886i | 1.05245 | − | 0.607635i | 0.129119 | − | 0.991629i | ||
0.923335 | + | 0.383995i | ||||||||
8.42059 | − | 4.86163i | 0.415863 | − | 0.240099i | |||||
− | 53.0662i | − | 2.61756i | |||||||
7.69589 | + | 13.3297i | 0.379149 | + | 0.656706i | |||||
2.40293 | − | 4.16200i | 0.118241 | − | 0.204799i | |||||
7.93689 | + | 4.58237i | 0.390077 | + | 0.225211i | |||||
19.5985 | 0.962052 | |||||||||
10.8254 | + | 17.8624i | 0.530759 | + | 0.875778i | |||||
−54.0770 | −2.64816 | |||||||||
8.29486 | + | 4.78904i | 0.405715 | + | 0.234239i | |||||
3.82279 | − | 6.62126i | 0.186755 | − | 0.323470i | −0.757411 | − | 0.652938i | ||
0.944167 | + | 0.329468i | ||||||||
5.55936 | + | 9.62910i | 0.271269 | + | 0.469852i | |||||
− | 25.0780i | − | 1.22223i | −0.791544 | − | 0.611113i | ||||
0.791544 | − | 0.611113i | ||||||||
12.7922 | − | 7.38555i | 0.622712 | − | 0.359523i | |||||
−1.61035 | + | 0.929736i | −0.0782979 | + | 0.0452053i | |||||
− | 1.09231i | − | 0.0530471i | |||||||
6.74753 | + | 11.6871i | 0.327303 | + | 0.566906i | |||||
−4.93741 | + | 8.55184i | −0.239218 | + | 0.414338i | |||||
1.00201 | + | 0.578514i | 0.0484909 | + | 0.0279962i | |||||
5.19405 | 0.251064 | |||||||||
29.5432 | + | 48.7478i | 1.42636 | + | 2.35356i | |||||
−18.2063 | −0.877987 | |||||||||
6.71520 | + | 3.87702i | 0.323460 | + | 0.186750i | 0.652934 | − | 0.757415i | ||
−0.329474 | + | 0.944165i | ||||||||
−0.559567 | + | 0.969199i | −0.0269222 | + | 0.0466306i | |||||
17.9880 | + | 31.1561i | 0.864448 | + | 1.49727i | 0.867594 | + | 0.497273i | ||
−0.00314644 | + | 0.999995i | ||||||||
0.948365i | 0.0455230i | |||||||||
−43.6992 | + | 25.2298i | −2.09522 | + | 1.20967i | |||||
−12.8814 | + | 7.43707i | −0.616907 | + | 0.356171i | |||||
5.34160i | 0.255523i | |||||||||
9.09853 | + | 15.7591i | 0.434745 | + | 0.753000i | |||||
−14.1175 | + | 24.4523i | −0.673792 | + | 1.16704i | 0.303028 | + | 0.952982i | ||
−0.976820 | + | 0.214061i | ||||||||
44.5194 | + | 25.7033i | 2.12238 | + | 1.22536i | |||||
−4.07715 | −0.194150 | |||||||||
−8.01444 | + | 0.170348i | −0.381208 | + | 0.00810264i | |||||
28.7918 | 1.36794 | 0.683970 | − | 0.729511i | ||||||
0.683970 | + | 0.729511i | ||||||||
−19.8074 | − | 11.4358i | −0.940018 | − | 0.542720i | |||||
−5.63068 | + | 9.75262i | −0.266920 | + | 0.462319i | |||||
−6.60128 | − | 11.4337i | −0.312579 | − | 0.541404i | |||||
− | 28.5081i | − | 1.34839i | |||||||
−3.45519 | + | 1.99486i | −0.163243 | + | 0.0942481i | |||||
−25.2795 | + | 14.5951i | −1.19301 | + | 0.688785i | −0.958988 | − | 0.283446i | ||
−0.234023 | + | 0.972231i | ||||||||
16.7849i | 0.791247i | |||||||||
−11.0942 | − | 19.2158i | −0.522408 | − | 0.904836i | |||||
3.81603 | − | 6.60955i | 0.179491 | − | 0.310887i | |||||
−20.1455 | − | 11.6310i | −0.946518 | − | 0.546473i | |||||
−13.4858 | −0.632918 | |||||||||
9.75026 | − | 5.90907i | 0.457099 | − | 0.277022i | |||||
14.2427 | 0.666974 | |||||||||
−27.4399 | − | 15.8424i | −1.28358 | − | 0.741077i | −0.306081 | − | 0.952006i | ||
−0.977501 | + | 0.210929i | ||||||||
11.1223 | − | 19.2644i | 0.519711 | − | 0.900165i | |||||
−3.86797 | − | 6.69952i | −0.180541 | − | 0.312707i | |||||
11.4076i | 0.531883i | |||||||||
−19.1407 | + | 11.0509i | −0.891471 | + | 0.514691i | −0.874424 | − | 0.485163i | ||
−0.0170480 | + | 0.999855i | ||||||||
−11.2755 | + | 6.50993i | −0.524585 | + | 0.302869i | |||||
38.8811i | 1.80696i | 0.428632 | + | 0.903479i | ||||||
−0.428632 | + | 0.903479i | ||||||||
1.17134 | + | 2.02883i | 0.0543783 | + | 0.0941860i | |||||
4.84346 | − | 8.38913i | 0.224610 | − | 0.389036i | |||||
−8.25062 | − | 4.76350i | −0.382202 | − | 0.220665i | |||||
−13.2823 | −0.614632 | −0.307316 | − | 0.951607i | ||||||
−0.307316 | + | 0.951607i | ||||||||
17.0298 | + | 9.35538i | 0.787203 | + | 0.432453i | |||||
−6.27918 | −0.289946 | |||||||||
1.02856 | + | 0.593841i | 0.0474440 | + | 0.0273918i | |||||
−8.65571 | + | 14.9921i | −0.398834 | + | 0.690801i | |||||
−6.57358 | − | 11.3858i | −0.302574 | − | 0.524073i | |||||
41.5469i | 1.91033i | |||||||||
15.0160 | − | 8.66949i | 0.689708 | − | 0.398203i | |||||
−8.47228 | + | 4.89147i | −0.388735 | + | 0.224436i | |||||
3.56827i | 0.163551i | |||||||||
−0.813975 | − | 1.40985i | −0.0372694 | − | 0.0645524i | |||||
−6.04205 | + | 10.4651i | −0.276357 | + | 0.478664i | |||||
5.74618 | + | 3.31756i | 0.262550 | + | 0.151583i | 0.625497 | − | 0.780226i | ||
−0.362947 | + | 0.931810i | ||||||||
48.7307 | 2.22424 | |||||||||
−11.2920 | + | 20.5550i | −0.514870 | + | 0.937228i | |||||
11.8153 | 0.538172 | |||||||||
−6.28825 | − | 3.63052i | −0.286125 | − | 0.165194i | |||||
16.0697 | − | 27.8335i | 0.730439 | − | 1.26516i | |||||
−5.41905 | − | 9.38607i | −0.246066 | − | 0.426200i | |||||
17.1761i | 0.779123i | |||||||||
28.9860 | − | 16.7351i | 1.31348 | − | 0.758338i | 0.330809 | − | 0.943698i | ||
0.982671 | + | 0.185359i | ||||||||
2.74116 | − | 1.58261i | 0.124087 | − | 0.0716415i | |||||
6.95047i | 0.314311i | |||||||||
1.30208 | + | 2.25527i | 0.0588220 | + | 0.101883i | |||||
−18.6643 | + | 32.3276i | −0.842310 | + | 1.45892i | 0.0456264 | + | 0.998959i | ||
−0.887937 | + | 0.459966i | ||||||||
−11.3699 | − | 6.56439i | −0.512593 | − | 0.295946i | |||||
−16.1937 | −0.729327 | |||||||||
−0.123490 | − | 5.80989i | −0.00555609 | − | 0.261399i | |||||
76.6152 | 3.44360 | |||||||||
−0.389483 | − | 0.224868i | −0.0174883 | − | 0.0100969i | |||||
2.25360 | − | 3.90335i | 0.101088 | − | 0.175089i | |||||
6.78954 | + | 11.7598i | 0.304246 | + | 0.526970i | |||||
34.1327i | 1.52799i | 0.645223 | + | 0.763994i | ||||||
−0.645223 | + | 0.763994i | ||||||||
0.00424050 | − | 0.00244826i | 0.000189641 | − | 0.000109489i | |||||
8.95342 | − | 5.16926i | 0.400009 | − | 0.230946i | |||||
7.09454i | 0.316645i | |||||||||
−7.65447 | − | 13.2579i | −0.341296 | − | 0.591142i | 0.643378 | − | 0.765549i | ||
−0.984674 | + | 0.174407i | ||||||||
−5.57684 | + | 9.65936i | −0.248412 | + | 0.430262i | |||||
−36.5022 | − | 21.0745i | −1.62433 | − | 0.937805i | |||||
−13.3581 | −0.593842 | |||||||||
16.0037 | − | 30.6581i | 0.710747 | − | 1.36158i | |||||
−8.10390 | −0.359553 | |||||||||
−16.0189 | − | 9.24851i | −0.710025 | − | 0.409933i | 0.101046 | − | 0.994882i | ||
−0.811070 | + | 0.584949i | ||||||||
−9.35133 | + | 16.1970i | −0.414084 | + | 0.717214i | |||||
−4.15288 | − | 7.19299i | −0.183712 | − | 0.318199i | |||||
− | 4.39924i | − | 0.194421i | |||||||
4.85668 | − | 2.80400i | 0.214427 | − | 0.123800i | |||||
7.39178 | − | 4.26765i | 0.326037 | − | 0.188238i | |||||
− | 36.8224i | − | 1.62259i | |||||||
12.2915 | + | 21.2895i | 0.541104 | + | 0.937219i | |||||
1.35515 | − | 2.34718i | 0.0595992 | − | 0.103229i | |||||
−4.63917 | − | 2.67843i | −0.203833 | − | 0.117683i | |||||
−37.1823 | −1.63212 | |||||||||
−0.662786 | − | 31.1824i | −0.0290651 | − | 1.36744i | |||||
23.5865 | 1.03334 | 0.516671 | − | 0.856184i | ||||||
0.516671 | + | 0.856184i | ||||||||
−17.4430 | − | 10.0707i | −0.763457 | − | 0.440782i | |||||
−6.15294 | + | 10.6572i | −0.269049 | + | 0.466007i | −0.968617 | − | 0.248560i | ||
0.699567 | + | 0.714567i | ||||||||
−6.75529 | − | 11.7005i | −0.295106 | − | 0.511139i | |||||
− | 13.2983i | − | 0.580387i | |||||||
15.7498 | − | 9.09312i | 0.686722 | − | 0.396479i | |||||
2.69227 | − | 1.55438i | 0.117277 | − | 0.0677101i | |||||
− | 6.17431i | − | 0.268702i | |||||||
7.77515 | + | 13.4670i | 0.338050 | + | 0.585520i | |||||
−0.519902 | + | 0.900497i | −0.0225831 | + | 0.0391151i | |||||
−16.9691 | − | 9.79712i | −0.736397 | − | 0.425159i | |||||
−2.58674 | −0.112149 | |||||||||
−6.48183 | + | 11.7990i | −0.280759 | + | 0.511072i | |||||
−7.80259 | −0.337651 | |||||||||
−10.7612 | − | 6.21297i | −0.465246 | − | 0.268610i | |||||
−8.58883 | + | 14.8763i | −0.370981 | + | 0.642558i | |||||
−33.6318 | − | 58.2520i | −1.45132 | − | 2.51376i | |||||
− | 10.6567i | − | 0.459444i | |||||||
5.14653 | − | 2.97135i | 0.221677 | − | 0.127985i | |||||
10.3720 | − | 5.98829i | 0.446341 | − | 0.257695i | |||||
− | 19.4411i | − | 0.835838i | −0.908484 | − | 0.417919i | ||||
0.908484 | − | 0.417919i | ||||||||
−7.27813 | − | 12.6061i | −0.312623 | − | 0.541478i | |||||
1.14988 | − | 1.99165i | 0.0493460 | − | 0.0854697i | |||||
13.5437 | + | 7.81944i | 0.580680 | + | 0.335256i | |||||
35.5841 | 1.52425 | |||||||||
6.92347 | + | 3.80343i | 0.296297 | + | 0.162772i | |||||
40.2163 | 1.71953 | 0.859763 | − | 0.510693i | ||||||
0.859763 | + | 0.510693i | ||||||||
22.8334 | + | 13.1829i | 0.975395 | + | 0.563145i | |||||
2.35869 | − | 4.08537i | 0.100666 | − | 0.174359i | |||||
−12.2325 | − | 21.1873i | −0.521595 | − | 0.903429i | |||||
− | 11.7393i | − | 0.500109i | |||||||
−17.2024 | + | 9.93184i | −0.732185 | + | 0.422727i | |||||
−6.85381 | + | 3.95705i | −0.291454 | + | 0.168271i | |||||
− | 14.8364i | − | 0.630337i | |||||||
27.3584 | + | 47.3861i | 1.16130 | + | 2.01143i | |||||
13.4340 | − | 23.2683i | 0.569727 | − | 0.986797i | |||||
6.89702 | + | 3.98199i | 0.292236 | + | 0.168722i | 0.638950 | − | 0.769248i | ||
−0.346714 | + | 0.937971i | ||||||||
3.86663 | 0.163687 | |||||||||
21.5574 | − | 13.0647i | 0.911781 | − | 0.552578i | |||||
−1.23495 | −0.0521862 | |||||||||
36.9615 | + | 21.3397i | 1.56052 | + | 0.900965i | |||||
1.00547 | − | 1.74153i | 0.0424133 | − | 0.0734620i | |||||
−0.711981 | − | 1.23319i | −0.0300064 | − | 0.0519726i | 0.850632 | − | 0.525761i | ||
−0.880639 | + | 0.473789i | ||||||||
− | 1.60366i | − | 0.0675263i | |||||||
−15.8123 | + | 9.12924i | −0.665229 | + | 0.384070i | |||||
−20.4865 | + | 11.8279i | −0.861113 | + | 0.497164i | |||||
− | 4.60828i | − | 0.193530i | |||||||
−6.16506 | − | 10.6782i | −0.258680 | − | 0.448047i | |||||
−9.25946 | + | 16.0379i | −0.388177 | + | 0.672342i | −0.992204 | − | 0.124622i | ||
0.604028 | + | 0.796963i | ||||||||
−11.7417 | − | 6.77904i | −0.491804 | − | 0.283943i | |||||
−4.35766 | −0.182362 | −0.0911812 | − | 0.995834i | ||||||
−0.0911812 | + | 0.995834i | ||||||||
−28.3145 | + | 0.601828i | −1.18389 | + | 0.0251637i | |||||
39.0202 | 1.63009 | |||||||||
−2.66298 | − | 1.53747i | −0.111151 | − | 0.0641729i | |||||
6.82194 | − | 11.8159i | 0.284494 | − | 0.492759i | |||||
8.13334 | + | 14.0874i | 0.338889 | + | 0.586973i | |||||
− | 9.56416i | − | 0.398161i | −0.979983 | − | 0.199081i | ||||
0.979983 | − | 0.199081i | ||||||||
6.92674 | − | 3.99916i | 0.288115 | − | 0.166343i | |||||
−38.0046 | + | 21.9419i | −1.57942 | + | 0.911876i | |||||
− | 25.0706i | − | 1.04100i | |||||||
−3.09897 | − | 5.36758i | −0.128567 | − | 0.222685i | |||||
3.75466 | − | 6.50327i | 0.155636 | − | 0.269569i | |||||
2.05494 | + | 1.18642i | 0.0851068 | + | 0.0491364i | |||||
−22.7216 | −0.940228 | |||||||||
−24.0922 | − | 39.7533i | −0.996090 | − | 1.64360i | |||||
24.1556 | 0.997859 | |||||||||
−2.04428 | − | 1.18027i | −0.0843765 | − | 0.0487148i | 0.457218 | − | 0.889355i | ||
−0.541595 | + | 0.840640i | ||||||||
1.75813 | − | 3.04517i | 0.0725040 | − | 0.125581i | |||||
1.12682 | + | 1.95171i | 0.0464297 | + | 0.0804186i | |||||
12.5152i | 0.515244i | |||||||||
−25.3661 | + | 14.6452i | −1.04342 | + | 0.602421i | |||||
2.20000 | − | 1.27017i | 0.0904194 | − | 0.0522037i | |||||
− | 40.4292i | − | 1.66023i | −0.557594 | − | 0.830114i | ||||
0.557594 | − | 0.830114i | ||||||||
7.01219 | + | 12.1455i | 0.287714 | + | 0.498335i | |||||
4.26826 | − | 7.39284i | 0.174982 | − | 0.303077i | |||||
12.2665 | + | 7.08207i | 0.502455 | + | 0.290093i | |||||
56.4294 | 2.30950 | |||||||||
4.20056 | + | 6.93114i | 0.171774 | + | 0.283435i | |||||
−38.5873 | −1.57663 | −0.788316 | − | 0.615270i | ||||||
−0.788316 | + | 0.615270i | ||||||||
−31.5057 | − | 18.1898i | −1.28621 | − | 0.742596i | |||||
−4.08115 | + | 7.06877i | −0.166474 | + | 0.288341i | −0.937178 | − | 0.348852i | ||
0.770704 | + | 0.637193i | ||||||||
2.87884 | + | 4.98630i | 0.117333 | + | 0.203226i | |||||
25.6012i | 1.04256i | |||||||||
10.0092 | − | 5.77882i | 0.407269 | − | 0.235137i | |||||
−66.5872 | + | 38.4442i | −2.70716 | + | 1.56298i | |||||
− | 29.2036i | − | 1.18631i | |||||||
−3.79263 | − | 6.56902i | −0.153938 | − | 0.266628i | 0.778734 | − | 0.627354i | ||
−0.932672 | + | 0.360726i | ||||||||
−5.66853 | + | 9.81819i | −0.229889 | + | 0.398180i | |||||
13.8197 | + | 7.97882i | 0.560003 | + | 0.323318i | |||||
−3.01308 | −0.121996 | |||||||||
−1.64402 | + | 0.0349438i | −0.0665098 | + | 0.00141368i | |||||
14.5484 | 0.588083 | |||||||||
−13.4908 | − | 7.78892i | −0.544889 | − | 0.314592i | 0.202169 | − | 0.979351i | ||
−0.747058 | + | 0.664759i | ||||||||
−2.91090 | + | 5.04183i | −0.117474 | + | 0.203472i | |||||
15.7043 | + | 27.2006i | 0.633258 | + | 1.09683i | |||||
− | 16.2571i | − | 0.655019i | |||||||
20.6709 | − | 11.9343i | 0.832177 | − | 0.480458i | −0.0224202 | − | 0.999749i | ||
0.854598 | + | 0.519291i | ||||||||
22.0948 | − | 12.7565i | 0.888785 | − | 0.513140i | |||||
19.4963i | 0.783622i | 0.920046 | + | 0.391811i | ||||||
−0.920046 | + | 0.391811i | ||||||||
2.40646 | + | 4.16810i | 0.0966456 | + | 0.167395i | |||||
−3.91063 | + | 6.77341i | −0.156928 | + | 0.271807i | |||||
15.8824 | + | 9.16972i | 0.636827 | + | 0.367672i | |||||
3.56136 | 0.142683 | |||||||||
−3.20366 | + | 1.94155i | −0.128249 | + | 0.0777244i | |||||
−25.0059 | −1.00023 | |||||||||
−20.0301 | − | 11.5644i | −0.800562 | − | 0.462205i | |||||
−15.4698 | + | 26.7945i | −0.617804 | + | 1.07007i | |||||
−4.30055 | − | 7.44878i | −0.171611 | − | 0.297239i | |||||
17.5599i | 0.700161i | |||||||||
9.19508 | − | 5.30878i | 0.366341 | − | 0.211507i | |||||
−22.2239 | + | 12.8309i | −0.884718 | + | 0.510792i | −0.872211 | − | 0.489130i | ||
−0.0125066 | + | 0.999922i | ||||||||
21.6502i | 0.861199i | |||||||||
23.8572 | + | 41.3219i | 0.948238 | + | 1.64240i | |||||
−8.03604 | + | 13.9188i | −0.319152 | + | 0.552788i | |||||
16.7899 | + | 9.69366i | 0.666287 | + | 0.384681i | |||||
1.40399 | 0.0556719 | |||||||||
−3.16010 | − | 1.73601i | −0.125208 | − | 0.0687834i | |||||
29.3573 | 1.16227 | |||||||||
−15.9145 | − | 9.18826i | −0.629569 | − | 0.363482i | |||||
−13.1229 | + | 22.7295i | −0.518728 | + | 0.898463i | |||||
−0.553020 | − | 0.957859i | −0.0218430 | − | 0.0378332i | 0.854897 | − | 0.518797i | ||
−0.876740 | + | 0.480964i | ||||||||
− | 8.60949i | − | 0.339789i | |||||||
10.9437 | − | 6.31833i | 0.431576 | − | 0.249171i | −0.268442 | − | 0.963296i | ||
0.700018 | + | 0.714125i | ||||||||
3.12429 | − | 1.80381i | 0.123114 | − | 0.0710801i | |||||
− | 58.8110i | − | 2.31568i | |||||||
−2.17556 | − | 3.76818i | −0.0855962 | − | 0.148257i | |||||
12.8574 | − | 22.2697i | 0.505477 | − | 0.875512i | −0.494503 | − | 0.869176i | ||
0.999980 | − | 0.00633579i | ||||||||
−10.9177 | − | 6.30332i | −0.428887 | − | 0.247618i | |||||
28.5598 | 1.12107 | |||||||||
−7.14685 | + | 13.0096i | −0.280323 | + | 0.510277i | |||||
−3.06345 | −0.120066 | |||||||||
−2.99066 | − | 1.72666i | −0.117123 | − | 0.0676211i | |||||
−12.6303 | + | 21.8764i | −0.494263 | + | 0.856089i | −0.999978 | − | 0.00661158i | ||
0.505715 | + | 0.862701i | ||||||||
12.3275 | + | 21.3518i | 0.482041 | + | 0.834920i | |||||
32.3219i | 1.26292i | |||||||||
1.26285 | − | 0.729104i | 0.0493058 | − | 0.0284667i | |||||
−29.3269 | + | 16.9319i | −1.14415 | + | 0.660577i | |||||
− | 0.375600i | − | 0.0146424i | |||||||
−11.4882 | − | 19.8982i | −0.447517 | − | 0.775123i | 0.550707 | − | 0.834699i | ||
−0.998224 | + | 0.0595764i | ||||||||
−33.0376 | + | 57.2228i | −1.28599 | + | 2.22739i | |||||
26.3554 | + | 15.2163i | 1.02511 | + | 0.591845i | 0.915579 | − | 0.402138i | ||
0.109528 | + | 0.993984i | ||||||||
12.8728 | 0.500316 | |||||||||
−0.550267 | − | 25.8886i | −0.0213706 | − | 1.00543i | |||||
−16.9554 | −0.657998 | |||||||||
5.35928 | + | 3.09418i | 0.207824 | + | 0.119987i | |||||
−10.9204 | + | 18.9146i | −0.423155 | + | 0.732926i | |||||
8.18613 | + | 14.1788i | 0.316968 | + | 0.549005i | |||||
5.13665i | 0.198743i | |||||||||
36.9339 | − | 21.3238i | 1.42795 | − | 0.824425i | |||||
14.1612 | − | 8.17600i | 0.547096 | − | 0.315866i | |||||
6.87586i | 0.265440i | |||||||||
−7.70546 | − | 13.3462i | −0.297245 | − | 0.514843i | |||||
5.41933 | − | 9.38656i | 0.208900 | − | 0.361825i | −0.742468 | − | 0.669881i | ||
0.951368 | + | 0.308056i | ||||||||
15.5126 | + | 8.95620i | 0.597523 | + | 0.344980i | |||||
−14.3244 | −0.551345 | |||||||||
9.21595 | + | 14.5023i | 0.354460 | + | 0.557779i | |||||
−18.1209 | −0.696442 | −0.348221 | − | 0.937412i | ||||||
−0.348221 | + | 0.937412i | ||||||||
−10.9558 | − | 6.32532i | −0.420754 | − | 0.242923i | |||||
−1.71375 | + | 2.96831i | −0.0657679 | + | 0.113913i | |||||
−11.6765 | − | 20.2242i | −0.447772 | − | 0.775564i | |||||
− | 43.5624i | − | 1.66931i | |||||||
−4.88078 | + | 2.81792i | −0.186895 | + | 0.107904i | |||||
32.7662 | − | 18.9176i | 1.25376 | − | 0.723861i | 0.281909 | − | 0.959441i | ||
0.971855 | + | 0.235580i | ||||||||
10.5465i | 0.403257i | |||||||||
−31.5380 | − | 54.6254i | −1.20500 | − | 2.08713i | |||||
0.411778 | − | 0.713220i | 0.0157218 | − | 0.0272309i | |||||
62.2288 | + | 35.9278i | 2.37418 | + | 1.37073i | |||||
−2.73042 | −0.104096 | |||||||||
−0.0305930 | − | 1.43932i | −0.00116550 | − | 0.0548338i | |||||
18.9089 | 0.719850 | |||||||||
26.0034 | + | 15.0131i | 0.989216 | + | 0.571124i | 0.905040 | − | 0.425327i | ||
0.0841761 | + | 0.996451i | ||||||||
9.23693 | − | 15.9988i | 0.351135 | − | 0.608184i | |||||
−12.1146 | − | 20.9832i | −0.460197 | − | 0.797085i | |||||
13.1432i | 0.498907i | |||||||||
−55.6658 | + | 32.1387i | −2.11152 | + | 1.21909i | |||||
37.8059 | − | 21.8273i | 1.43303 | − | 0.827360i | |||||
10.0798i | 0.381798i | |||||||||
2.80712 | + | 4.86207i | 0.106251 | + | 0.184032i | |||||
15.3873 | − | 26.6516i | 0.582001 | − | 1.00805i | |||||
5.72203 | + | 3.30361i | 0.216272 | + | 0.124865i | |||||
0.116177 | 0.00438796 | 0.00219398 | − | 0.999998i | ||||||
0.00219398 | + | 0.999998i | ||||||||
4.09688 | − | 7.45764i | 0.154627 | − | 0.281470i | |||||
−12.7297 | −0.480110 | |||||||||
−20.5332 | − | 11.8548i | −0.773873 | − | 0.446796i | |||||
−1.91825 | + | 3.32251i | −0.0722456 | + | 0.125133i | |||||
5.76624 | + | 9.98741i | 0.217015 | + | 0.375881i | |||||
13.3295i | 0.501307i | |||||||||
14.6347 | − | 8.44932i | 0.550004 | − | 0.317545i | |||||
5.82829 | − | 3.36497i | 0.218886 | − | 0.126374i | −0.386548 | − | 0.922269i | ||
0.605434 | + | 0.795895i | ||||||||
11.7375i | 0.440499i | |||||||||
16.1335 | + | 27.9440i | 0.605053 | + | 1.04798i | |||||
4.87132 | − | 8.43738i | 0.182561 | − | 0.316204i | |||||
−2.72196 | − | 1.57153i | −0.101938 | − | 0.0588541i | |||||
5.91465 | 0.221350 | |||||||||
59.3826 | + | 32.6221i | 2.22078 | + | 1.22000i | |||||
33.4197 | 1.24895 | |||||||||
−33.8050 | − | 19.5173i | −1.26247 | − | 0.728888i | |||||
2.22975 | − | 3.86204i | 0.0832136 | − | 0.144130i | |||||
23.4039 | + | 40.5367i | 0.872818 | + | 1.51177i | 0.859069 | + | 0.511860i | ||
0.0137492 | + | 0.999905i | ||||||||
5.03509i | 0.187647i | |||||||||
−10.0848 | + | 5.82248i | −0.375579 | + | 0.216840i | |||||
−10.8195 | + | 6.24666i | −0.402661 | + | 0.232476i | |||||
38.1664i | 1.41942i | |||||||||
0.571312 | + | 0.989541i | 0.0212326 | + | 0.0367760i | |||||
−14.9926 | + | 25.9680i | −0.556812 | + | 0.964426i | |||||
−46.1359 | − | 26.6366i | −1.71226 | − | 0.988576i | |||||
13.3362 | 0.494611 | 0.247305 | − | 0.968938i | ||||||
0.247305 | + | 0.968938i | ||||||||
−8.43534 | + | 5.11217i | −0.312634 | + | 0.189470i | |||||
−41.6582 | −1.54290 | |||||||||
18.7317 | + | 10.8148i | 0.693291 | + | 0.400272i | |||||
9.43694 | − | 16.3453i | 0.349038 | − | 0.604551i | |||||
2.03420 | + | 3.52334i | 0.0751863 | + | 0.130226i | |||||
− | 29.4612i | − | 1.08817i | −0.839029 | − | 0.544087i | ||||
0.839029 | − | 0.544087i | ||||||||
−21.4193 | + | 12.3664i | −0.790599 | + | 0.456453i | |||||
−7.28508 | + | 4.20604i | −0.268714 | + | 0.155142i | |||||
− | 15.8113i | − | 0.582814i | |||||||
−18.6576 | − | 32.3160i | −0.687263 | − | 1.19037i | |||||
−6.26851 | + | 10.8574i | −0.230747 | + | 0.399666i | |||||
−10.4184 | − | 6.01509i | −0.383249 | − | 0.221269i | 0.295982 | − | 0.955193i | ||
−0.679231 | + | 0.733925i | ||||||||
−27.1858 | −0.999370 | |||||||||
18.7674 | − | 0.398904i | 0.689438 | − | 0.0146541i | |||||
0.328834 | 0.0120719 | |||||||||
−18.9509 | − | 10.9413i | −0.695242 | − | 0.401398i | 0.110331 | − | 0.993895i | ||
−0.805573 | + | 0.592497i | ||||||||
−4.19027 | + | 7.25777i | −0.153623 | + | 0.266083i | |||||
−16.9427 | − | 29.3457i | −0.620734 | − | 1.07514i | |||||
− | 17.6321i | − | 0.645558i | |||||||
−21.8844 | + | 12.6350i | −0.800710 | + | 0.462290i | |||||
−18.3642 | + | 10.6026i | −0.671461 | + | 0.387668i | |||||
3.92966i | 0.143587i | |||||||||
−0.00405815 | − | 0.00702892i | −0.000148183 | − | 0.000256660i | |||||
17.3746 | − | 30.0937i | 0.634008 | − | 1.09813i | −0.352717 | − | 0.935730i | ||
0.986724 | − | 0.162403i | ||||||||
0.154255 | + | 0.0890590i | 0.00562509 | + | 0.00324765i | |||||
−22.9172 | −0.835147 | |||||||||
−9.23160 | − | 15.2326i | −0.336195 | − | 0.554739i | |||||
−27.6498 | −1.00628 | |||||||||
−3.28011 | − | 1.89377i | −0.119297 | − | 0.0688759i | |||||
−21.9632 | + | 38.0413i | −0.798265 | + | 1.38264i | 0.122481 | + | 0.992471i | ||
−0.920745 | + | 0.390164i | ||||||||
−3.90223 | − | 6.75887i | −0.141736 | − | 0.245493i | |||||
− | 43.1502i | − | 1.56625i | |||||||
14.6611 | − | 8.46461i | 0.531815 | − | 0.307044i | |||||
0.122449 | − | 0.0706957i | 0.00443876 | − | 0.00256272i | −0.497779 | − | 0.867304i | ||
0.502218 | + | 0.864741i | ||||||||
13.4328i | 0.486618i | |||||||||
−5.62666 | − | 9.74566i | −0.203699 | − | 0.352817i | |||||
−9.69352 | + | 16.7897i | −0.350699 | + | 0.607429i | |||||
−30.1418 | − | 17.4024i | −1.08978 | − | 0.629183i | |||||
−4.47241 | −0.161595 | |||||||||
−8.98082 | − | 14.8188i | −0.324279 | − | 0.535076i | |||||
−39.4124 | −1.42217 | |||||||||
11.8200 | + | 6.82429i | 0.426241 | + | 0.246090i | 0.697744 | − | 0.716347i | ||
−0.271503 | + | 0.962438i | ||||||||
−7.73787 | + | 13.4024i | −0.278853 | + | 0.482988i | |||||
13.7856 | + | 23.8773i | 0.496475 | + | 0.859920i | |||||
− | 21.8035i | − | 0.784726i | |||||||
15.2328 | − | 8.79469i | 0.547887 | − | 0.316323i | −0.200382 | − | 0.979718i | ||
0.748269 | + | 0.663395i | ||||||||
20.3299 | − | 11.7375i | 0.730744 | − | 0.421895i | |||||
− | 5.75639i | − | 0.206776i | |||||||
4.68824 | + | 8.12026i | 0.168298 | + | 0.291500i | |||||
8.65199 | − | 14.9857i | 0.310388 | − | 0.537608i | |||||
7.59022 | + | 4.38221i | 0.272123 | + | 0.157110i | |||||
−7.30711 | −0.261804 | |||||||||
40.0801 | − | 0.851909i | 1.43510 | − | 0.0305032i | |||||
26.7849 | 0.958439 | |||||||||
5.25533 | + | 3.03416i | 0.187930 | + | 0.108501i | |||||
8.59441 | − | 14.8860i | 0.307139 | − | 0.531981i | |||||
0.195274 | + | 0.338225i | 0.00697409 | + | 0.0120795i | |||||
20.5768i | 0.734418i | |||||||||
−19.3944 | + | 11.1973i | −0.691774 | + | 0.399396i | |||||
2.57075 | − | 1.48422i | 0.0916374 | − | 0.0529069i | −0.453481 | − | 0.891266i | ||
0.545118 | + | 0.838359i | ||||||||
− | 14.5528i | − | 0.518421i | |||||||
29.3731 | + | 50.8756i | 1.04571 | + | 1.81122i | |||||
10.3048 | − | 17.8484i | 0.366628 | − | 0.635018i | |||||
5.00059 | + | 2.88709i | 0.177800 | + | 0.102653i | |||||
−66.2829 | −2.35526 | |||||||||
3.56768 | − | 2.16216i | 0.126692 | − | 0.0767807i | |||||
30.6242 | 1.08681 | |||||||||
−2.90883 | − | 1.67941i | −0.103166 | − | 0.0595627i | |||||
−14.0184 | + | 24.2805i | −0.496867 | + | 0.860600i | |||||
4.72611 | + | 8.18586i | 0.167407 | + | 0.289958i | 0.937508 | − | 0.347965i | ||
−0.770100 | + | 0.637923i | ||||||||
4.28770i | 0.151783i | |||||||||
−1.06628 | + | 0.615614i | −0.0377221 | + | 0.0217789i | |||||
25.0783 | − | 14.4790i | 0.886652 | − | 0.511909i | |||||
− | 14.5202i | − | 0.513047i | |||||||
−0.369204 | − | 0.639481i | −0.0130371 | − | 0.0225809i | |||||
24.6793 | − | 42.7458i | 0.870913 | − | 1.50847i | |||||
−19.1212 | − | 11.0396i | −0.674351 | − | 0.389337i | |||||
−8.63066 | −0.304191 | |||||||||
2.99693 | + | 1.64637i | 0.105562 | + | 0.0579911i | |||||
34.4239 | 1.21178 | |||||||||
31.5795 | + | 18.2324i | 1.11096 | + | 0.641414i | |||||
0.581273 | − | 1.00679i | 0.0204365 | − | 0.0353970i | −0.855626 | − | 0.517594i | ||
0.876063 | + | 0.482197i | ||||||||
6.00035 | + | 10.3929i | 0.210831 | + | 0.365170i | |||||
− | 19.5561i | − | 0.686706i | −0.939206 | − | 0.343353i | ||||
0.939206 | − | 0.343353i | ||||||||
−6.86627 | + | 3.96424i | −0.240959 | + | 0.139118i | |||||
40.7209 | − | 23.5102i | 1.42814 | − | 0.824538i | |||||
− | 31.8342i | − | 1.11579i | |||||||
4.13075 | + | 7.15467i | 0.144694 | + | 0.250617i | |||||
−1.40243 | + | 2.42908i | −0.0490949 | + | 0.0850348i | |||||
11.8491 | + | 6.84111i | 0.414549 | + | 0.239340i | |||||
20.2408 | 0.707702 | |||||||||
−7.07800 | + | 12.8842i | −0.247325 | + | 0.450211i | |||||
−15.6052 | −0.544958 | |||||||||
10.9283 | + | 6.30945i | 0.381400 | + | 0.220201i | 0.678427 | − | 0.734668i | ||
−0.297027 | + | 0.954869i | ||||||||
21.8515 | − | 37.8479i | 0.762159 | − | 1.32010i | |||||
−3.28404 | − | 5.68812i | −0.114474 | − | 0.198275i | 0.803095 | − | 0.595851i | ||
−0.917570 | + | 0.397575i | ||||||||
31.8565i | 1.10978i | |||||||||
68.4403 | − | 39.5140i | 2.38278 | − | 1.37570i | |||||
3.42764 | − | 1.97895i | 0.119263 | − | 0.0688564i | |||||
17.3050i | 0.601754i | 0.953663 | + | 0.300877i | ||||||
−0.953663 | + | 0.300877i | ||||||||
−7.35441 | − | 12.7382i | −0.255583 | − | 0.442683i | |||||
−1.87837 | + | 3.25343i | −0.0652385 | + | 0.112996i | −0.896800 | − | 0.442437i | ||
0.831561 | + | 0.555433i | ||||||||
13.9780 | + | 8.07022i | 0.485185 | + | 0.280122i | |||||
47.9252 | 1.66251 | |||||||||
0.305689 | + | 14.3819i | 0.0105979 | + | 0.498602i | |||||
−2.69964 | −0.0935371 | |||||||||
−38.5688 | − | 22.2677i | −1.33553 | − | 0.771068i | |||||
6.14432 | − | 10.6423i | 0.212633 | − | 0.368291i | |||||
−7.68610 | − | 13.3127i | −0.265829 | − | 0.460430i | |||||
3.29981i | 0.114058i | |||||||||
5.45298 | − | 3.14828i | 0.188370 | − | 0.108756i | |||||
−40.1340 | + | 23.1714i | −1.38558 | + | 0.799965i | −0.992813 | − | 0.119674i | ||
−0.392766 | + | 0.919638i | ||||||||
23.0125i | 0.794008i | |||||||||
−3.49071 | − | 6.04609i | −0.120369 | − | 0.208486i | |||||
10.3266 | − | 17.8861i | 0.355877 | − | 0.616396i | |||||
5.62558 | + | 3.24793i | 0.193755 | + | 0.111865i | |||||
−23.7067 | −0.816018 | |||||||||
−1.74669 | − | 41.0701i | −0.0600880 | − | 1.41285i | |||||
−1.53138 | −0.0526499 | |||||||||
21.0580 | + | 12.1578i | 0.723560 | + | 0.417748i | |||||
−0.0779704 | + | 0.135049i | −0.00267751 | + | 0.00463759i | |||||
−38.2071 | − | 66.1766i | −1.31126 | − | 2.27118i | |||||
11.1139i | 0.381205i | |||||||||
15.3751 | − | 8.87679i | 0.527050 | − | 0.304293i | |||||
13.7252 | − | 7.92423i | 0.470216 | − | 0.271479i | |||||
15.3103i | 0.524215i | 0.965039 | + | 0.262107i | ||||||
−0.965039 | + | 0.262107i | ||||||||
0.476438 | + | 0.825215i | 0.0163034 | + | 0.0282383i | |||||
12.6155 | − | 21.8506i | 0.431440 | − | 0.747275i | |||||
9.30993 | + | 5.37509i | 0.318207 | + | 0.183717i | |||||
−2.59248 | −0.0885574 | −0.0442787 | − | 0.999019i | ||||||
−0.0442787 | + | 0.999019i | ||||||||
0.997571 | + | 46.9331i | 0.0340565 | + | 1.60227i | |||||
−13.7738 | −0.469955 | −0.234978 | − | 0.972001i | ||||||
−0.234978 | + | 0.972001i | ||||||||
25.3053 | + | 14.6100i | 0.862903 | + | 0.498197i | |||||
4.96642 | − | 8.60209i | 0.169255 | − | 0.293159i | |||||
3.19294 | + | 5.53034i | 0.108752 | + | 0.188364i | |||||
− | 29.7592i | − | 1.01302i | −0.862235 | − | 0.506508i | ||||
0.862235 | − | 0.506508i | ||||||||
−14.3760 | + | 8.29996i | −0.489080 | + | 0.282370i | |||||
−38.2747 | + | 22.0979i | −1.30138 | + | 0.751351i | |||||
29.6282i | 1.00681i | |||||||||
12.9183 | + | 22.3751i | 0.438728 | + | 0.759899i | |||||
0.761033 | − | 1.31815i | 0.0258311 | − | 0.0447408i | |||||
−40.7301 | − | 23.5155i | −1.38167 | − | 0.797710i | |||||
−41.5562 | −1.40889 | |||||||||
−10.9007 | + | 19.8429i | −0.369358 | + | 0.672350i | |||||
−30.7852 | −1.04252 | |||||||||
12.1023 | + | 6.98724i | 0.409599 | + | 0.236482i | |||||
−2.19955 | + | 3.80974i | −0.0744009 | + | 0.128866i | |||||
0.00185228 | + | 0.00320824i | 6.26183e−5 | + | 0.000108458i | |||||
− | 29.2051i | − | 0.986750i | |||||||
−1.24995 | + | 0.721660i | −0.0422079 | + | 0.0243687i | −0.520955 | − | 0.853584i | ||
0.478748 | + | 0.877953i | ||||||||
−20.1378 | + | 11.6266i | −0.679618 | + | 0.392378i | |||||
78.0286i | 2.63184i | |||||||||
−3.66947 | − | 6.35571i | −0.123698 | − | 0.214251i | |||||
−17.9402 | + | 31.0733i | −0.604420 | + | 1.04689i | 0.387723 | + | 0.921776i | ||
−0.992143 | + | 0.125110i | ||||||||
−2.90791 | − | 1.67888i | −0.0979144 | − | 0.0565309i | |||||
10.5626 | 0.355458 | 0.177729 | − | 0.984079i | ||||||
0.177729 | + | 0.984079i | ||||||||
11.2761 | + | 6.19456i | 0.379256 | + | 0.208346i | |||||
−40.4273 | −1.35895 | |||||||||
20.5349 | + | 11.8558i | 0.689883 | + | 0.398304i | |||||
−6.11401 | + | 10.5898i | −0.205288 | + | 0.355570i | −0.950225 | − | 0.311566i | ||
0.744936 | + | 0.667136i | ||||||||
−23.6688 | − | 40.9956i | −0.794274 | − | 1.37572i | |||||
− | 6.13117i | − | 0.205633i | |||||||
−8.03183 | + | 4.63718i | −0.269228 | + | 0.155439i | |||||
23.7166 | − | 13.6928i | 0.794537 | − | 0.458726i | |||||
21.1893i | 0.709469i | |||||||||
−0.446276 | − | 0.772973i | −0.0149341 | − | 0.0258666i | |||||
11.7390 | − | 20.3326i | 0.392611 | − | 0.680022i | |||||
−69.2399 | − | 39.9757i | −2.31443 | − | 1.33624i | |||||
8.30013 | 0.277288 | |||||||||
−22.3893 | + | 13.5689i | −0.747557 | + | 0.453051i | |||||
−24.0398 | −0.802217 | |||||||||
5.98208 | + | 3.45375i | 0.199513 | + | 0.115189i | |||||
13.4693 | − | 23.3296i | 0.448978 | − | 0.777653i | |||||
−0.538965 | − | 0.933515i | −0.0179555 | − | 0.0310999i | |||||
− | 18.2735i | − | 0.608440i | |||||||
−16.1070 | + | 9.29938i | −0.536008 | + | 0.309464i | |||||
13.6799 | − | 7.89807i | 0.454985 | − | 0.262686i | |||||
− | 2.73355i | − | 0.0908662i | |||||||
−9.57879 | − | 16.5909i | −0.318234 | − | 0.551197i | |||||
2.26278 | − | 3.91924i | 0.0751343 | − | 0.130136i | −0.826010 | − | 0.563655i | ||
0.901145 | + | 0.433519i | ||||||||
18.7441 | + | 10.8219i | 0.622044 | + | 0.359137i | |||||
54.3464 | 1.80256 | |||||||||
9.38731 | − | 0.199529i | 0.311186 | − | 0.00661432i | |||||
−57.2723 | −1.89751 | −0.948757 | − | 0.316006i | ||||||
−0.948757 | + | 0.316006i | ||||||||
−1.76091 | − | 1.01666i | −0.0583095 | − | 0.0336650i | |||||
18.4163 | − | 31.8979i | 0.609489 | − | 1.05567i | |||||
−13.0471 | − | 22.5983i | −0.431560 | − | 0.747484i | |||||
− | 9.73302i | − | 0.321764i | |||||||
−30.9181 | + | 17.8506i | −1.02156 | + | 0.589800i | |||||
8.85224 | − | 5.11084i | 0.292327 | − | 0.168775i | |||||
− | 6.37098i | − | 0.210274i | |||||||
20.3775 | + | 35.2949i | 0.672193 | + | 1.16427i | 0.977281 | + | 0.211948i | ||
−0.305088 | + | 0.952324i | ||||||||
−11.8052 | + | 20.4473i | −0.389207 | + | 0.674127i | |||||
−16.2864 | − | 9.40294i | −0.536654 | − | 0.309837i | |||||
−18.2021 | −0.599453 | |||||||||
−8.42270 | − | 13.8979i | −0.277236 | − | 0.457454i | |||||
20.8960 | 0.687429 | |||||||||
28.1589 | + | 16.2575i | 0.925858 | + | 0.534545i | |||||
−16.0104 | + | 27.7308i | −0.526134 | + | 0.911291i | |||||
23.7391 | + | 41.1174i | 0.779696 | + | 1.35047i | |||||
34.7487i | 1.14068i | |||||||||
45.2751 | − | 26.1396i | 1.48543 | − | 0.857611i | 0.485564 | − | 0.874201i | ||
0.999862 | + | 0.0165897i | ||||||||
6.90891 | − | 3.98886i | 0.226552 | − | 0.130800i | |||||
− | 1.95705i | − | 0.0641397i | |||||||
7.64511 | + | 13.2417i | 0.250424 | + | 0.433747i | |||||
−29.6205 | + | 51.3042i | −0.969731 | + | 1.67962i | |||||
−9.47322 | − | 5.46937i | −0.309973 | − | 0.178963i | |||||
50.7300 | 1.65905 | |||||||||
20.8431 | + | 34.3922i | 0.681279 | + | 1.12414i | |||||
−6.38634 | −0.208633 | −0.104316 | − | 0.994544i | ||||||
−0.104316 | + | 0.994544i | ||||||||
−4.47844 | − | 2.58563i | −0.146226 | − | 0.0844238i | |||||
37.3558 | − | 64.7021i | 1.21906 | − | 2.11147i | |||||
−0.953077 | − | 1.65078i | −0.0310859 | − | 0.0538424i | |||||
25.3711i | 0.827073i | 0.910488 | + | 0.413536i | ||||||
−0.910488 | + | 0.413536i | ||||||||
−12.3469 | + | 7.12846i | −0.402282 | + | 0.232258i | |||||
8.82560 | − | 5.09546i | 0.287401 | − | 0.165931i | |||||
1.87692i | 0.0610887i | |||||||||
4.53056 | + | 7.84715i | 0.147379 | + | 0.255268i | |||||
−17.1081 | + | 29.6321i | −0.556232 | + | 0.963422i | |||||
23.5612 | + | 13.6031i | 0.765635 | + | 0.442040i | 0.831315 | − | 0.555801i | ||
−0.0656800 | + | 0.997841i | ||||||||
−27.8280 | −0.903811 | |||||||||
−29.9401 | + | 0.636381i | −0.971895 | + | 0.0206578i | |||||
−8.05681 | −0.261397 | |||||||||
−44.9613 | − | 25.9584i | −1.45797 | − | 0.841760i | |||||
−3.69264 | + | 6.39584i | −0.119679 | + | 0.207290i | |||||
13.2939 | + | 23.0258i | 0.430633 | + | 0.745878i | 0.996928 | − | 0.0783248i | ||
−0.566295 | + | 0.824203i | ||||||||
− | 1.34071i | − | 0.0434070i | |||||||
40.1667 | − | 23.1902i | 1.29976 | − | 0.750418i | |||||
16.7959 | − | 9.69711i | 0.543218 | − | 0.313627i | |||||
94.8314i | 3.06546i | |||||||||
2.73220 | + | 4.73230i | 0.0882732 | + | 0.152894i | |||||
−9.97376 | + | 17.2751i | −0.322070 | + | 0.557841i | |||||
29.0654 | + | 16.7809i | 0.938082 | + | 0.541602i | |||||
29.6739 | 0.957224 | |||||||||
−16.5178 | + | 10.0105i | −0.532554 | + | 0.322751i | |||||
16.0218 | 0.516296 | |||||||||
−16.4223 | − | 9.48141i | −0.528926 | − | 0.305376i | |||||
−26.0808 | + | 45.1732i | −0.839569 | + | 1.45418i | |||||
−2.98994 | − | 5.17872i | −0.0961996 | − | 0.166623i | |||||
− | 35.2467i | − | 1.13346i | −0.823904 | − | 0.566729i | ||||
0.823904 | − | 0.566729i | ||||||||
57.6073 | − | 33.2596i | 1.85157 | − | 1.06900i | |||||
12.1722 | − | 7.02760i | 0.391026 | − | 0.225759i | |||||
− | 8.92578i | − | 0.286590i | |||||||
−18.4891 | − | 32.0241i | −0.593344 | − | 1.02770i | −0.993778 | − | 0.111377i | ||
0.400434 | − | 0.916326i | ||||||||
13.7833 | − | 23.8733i | 0.442098 | − | 0.765737i | |||||
17.6041 | + | 10.1637i | 0.564362 | + | 0.325834i | |||||
27.5645 | 0.883224 | |||||||||
−42.0241 | − | 23.0861i | −1.34585 | − | 0.739347i | |||||
−0.451876 | −0.0144642 | |||||||||
−21.4363 | − | 12.3762i | −0.685807 | − | 0.395951i | 0.116232 | − | 0.993222i | ||
−0.802039 | + | 0.597271i | ||||||||
−2.86205 | + | 4.95721i | −0.0915182 | + | 0.158514i | |||||
10.5820 | + | 18.3286i | 0.338204 | + | 0.585786i | |||||
− | 4.17951i | − | 0.133510i | |||||||
−39.7346 | + | 22.9408i | −1.26863 | + | 0.732442i | |||||
−26.6236 | + | 15.3711i | −0.849593 | + | 0.490513i | |||||
− | 4.55736i | − | 0.145357i | −0.997355 | − | 0.0726786i | ||||
0.997355 | − | 0.0726786i | ||||||||
−13.5864 | − | 23.5323i | −0.433119 | − | 0.750183i | |||||
−17.4076 | + | 30.1509i | −0.554652 | + | 0.960686i | |||||
−11.5497 | − | 6.66820i | −0.367816 | − | 0.212359i | |||||
1.21328 | 0.0386192 | |||||||||
−4.49062 | + | 8.17436i | −0.142866 | + | 0.260061i | |||||
−19.0820 | −0.606773 | |||||||||
54.6436 | + | 31.5485i | 1.73669 | + | 1.00268i | |||||
13.5982 | − | 23.5527i | 0.431960 | − | 0.748176i | −0.565082 | − | 0.825034i | ||
0.997042 | + | 0.0768584i | ||||||||
−3.33543 | − | 5.77713i | −0.105900 | − | 0.183424i | |||||
41.5824i | 1.31958i | |||||||||
3.21462 | − | 1.85596i | 0.101962 | − | 0.0588676i | |||||
58.0873 | − | 33.5367i | 1.84149 | − | 1.06319i | |||||
− | 21.7936i | − | 0.690556i | |||||||
15.1137 | + | 26.1777i | 0.478656 | + | 0.829057i | 0.999700 | − | 0.0244727i | ||
−0.521044 | + | 0.853530i | ||||||||
−14.0551 | + | 24.3441i | −0.444906 | + | 0.770600i | |||||
−16.1419 | − | 9.31952i | −0.510707 | − | 0.294857i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.2.q.a.43.4 | yes | 12 | |
3.2 | odd | 2 | 819.2.ct.a.316.3 | 12 | |||
4.3 | odd | 2 | 1456.2.cc.c.225.6 | 12 | |||
7.2 | even | 3 | 637.2.k.h.459.3 | 12 | |||
7.3 | odd | 6 | 637.2.u.i.30.3 | 12 | |||
7.4 | even | 3 | 637.2.u.h.30.3 | 12 | |||
7.5 | odd | 6 | 637.2.k.g.459.3 | 12 | |||
7.6 | odd | 2 | 637.2.q.h.589.4 | 12 | |||
13.4 | even | 6 | 1183.2.c.i.337.8 | 12 | |||
13.6 | odd | 12 | 1183.2.a.p.1.2 | 6 | |||
13.7 | odd | 12 | 1183.2.a.m.1.5 | 6 | |||
13.9 | even | 3 | 1183.2.c.i.337.5 | 12 | |||
13.10 | even | 6 | inner | 91.2.q.a.36.4 | ✓ | 12 | |
39.23 | odd | 6 | 819.2.ct.a.127.3 | 12 | |||
52.23 | odd | 6 | 1456.2.cc.c.673.6 | 12 | |||
91.6 | even | 12 | 8281.2.a.ch.1.2 | 6 | |||
91.10 | odd | 6 | 637.2.k.g.569.4 | 12 | |||
91.20 | even | 12 | 8281.2.a.by.1.5 | 6 | |||
91.23 | even | 6 | 637.2.u.h.361.3 | 12 | |||
91.62 | odd | 6 | 637.2.q.h.491.4 | 12 | |||
91.75 | odd | 6 | 637.2.u.i.361.3 | 12 | |||
91.88 | even | 6 | 637.2.k.h.569.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.q.a.36.4 | ✓ | 12 | 13.10 | even | 6 | inner | |
91.2.q.a.43.4 | yes | 12 | 1.1 | even | 1 | trivial | |
637.2.k.g.459.3 | 12 | 7.5 | odd | 6 | |||
637.2.k.g.569.4 | 12 | 91.10 | odd | 6 | |||
637.2.k.h.459.3 | 12 | 7.2 | even | 3 | |||
637.2.k.h.569.4 | 12 | 91.88 | even | 6 | |||
637.2.q.h.491.4 | 12 | 91.62 | odd | 6 | |||
637.2.q.h.589.4 | 12 | 7.6 | odd | 2 | |||
637.2.u.h.30.3 | 12 | 7.4 | even | 3 | |||
637.2.u.h.361.3 | 12 | 91.23 | even | 6 | |||
637.2.u.i.30.3 | 12 | 7.3 | odd | 6 | |||
637.2.u.i.361.3 | 12 | 91.75 | odd | 6 | |||
819.2.ct.a.127.3 | 12 | 39.23 | odd | 6 | |||
819.2.ct.a.316.3 | 12 | 3.2 | odd | 2 | |||
1183.2.a.m.1.5 | 6 | 13.7 | odd | 12 | |||
1183.2.a.p.1.2 | 6 | 13.6 | odd | 12 | |||
1183.2.c.i.337.5 | 12 | 13.9 | even | 3 | |||
1183.2.c.i.337.8 | 12 | 13.4 | even | 6 | |||
1456.2.cc.c.225.6 | 12 | 4.3 | odd | 2 | |||
1456.2.cc.c.673.6 | 12 | 52.23 | odd | 6 | |||
8281.2.a.by.1.5 | 6 | 91.20 | even | 12 | |||
8281.2.a.ch.1.2 | 6 | 91.6 | even | 12 |