Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 81.g (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 | 22.8 | ||
Character | 81.22 | ||
Dual form | 81.2.g.a.70.8 |
-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 .
1.71221 | + | 1.81484i | 1.21071 | + | 1.28328i | 0.947949 | + | 0.318423i | ||
0.262766 | + | 0.964860i | ||||||||
−1.10419 | − | 1.33445i | −0.637505 | − | 0.770446i | |||||
−0.245679 | + | 4.21814i | −0.122839 | + | 2.10907i | |||||
1.39804 | − | 0.163408i | 0.625224 | − | 0.0730783i | 0.202419 | − | 0.979299i | ||
0.422805 | + | 0.906221i | ||||||||
0.531205 | − | 4.28879i | 0.216863 | − | 1.75089i | |||||
−2.85083 | − | 1.43174i | −1.07751 | − | 0.541147i | −0.180691 | − | 0.983540i | ||
−0.896822 | + | 0.442393i | ||||||||
−4.25325 | + | 3.56890i | −1.50375 | + | 1.26180i | |||||
−0.561524 | + | 2.94698i | −0.187175 | + | 0.982327i | |||||
2.69030 | + | 2.25743i | 0.850749 | + | 0.713863i | |||||
−1.87624 | − | 4.34961i | −0.565707 | − | 1.31146i | −0.925615 | − | 0.378468i | ||
0.359908 | − | 0.932988i | ||||||||
5.90018 | − | 4.32979i | 1.70324 | − | 1.24990i | |||||
2.07522 | + | 0.491837i | 0.575563 | + | 0.136411i | 0.508081 | − | 0.861309i | ||
0.0674826 | + | 0.997720i | ||||||||
−2.28284 | − | 7.62523i | −0.610116 | − | 2.03793i | |||||
−1.76177 | − | 1.68519i | −0.454887 | − | 0.435114i | |||||
−5.36597 | − | 0.627192i | −1.34149 | − | 0.156798i | |||||
0.520249 | − | 2.95048i | 0.126179 | − | 0.715596i | −0.854422 | − | 0.519580i | ||
0.980601 | − | 0.196016i | ||||||||
−6.30973 | + | 4.02677i | −1.48722 | + | 0.949120i | |||||
1.23380 | + | 6.99724i | 0.283053 | + | 1.60528i | 0.712157 | + | 0.702020i | ||
−0.429103 | + | 0.903255i | ||||||||
0.345808 | + | 5.93730i | 0.0773250 | + | 1.32762i | |||||
1.23727 | + | 5.38521i | 0.269995 | + | 1.17515i | |||||
4.68131 | − | 10.8525i | 0.998059 | − | 2.31376i | |||||
−2.70239 | + | 1.35719i | −0.563488 | + | 0.282994i | −0.707654 | − | 0.706559i | ||
0.144166 | + | 0.989554i | ||||||||
9.45892 | + | 1.73501i | 1.93079 | + | 0.354157i | |||||
−2.93740 | + | 0.696176i | −0.587480 | + | 0.139235i | |||||
2.66061 | + | 4.60832i | 0.521789 | + | 0.903765i | |||||
4.55263 | − | 2.50470i | 0.876155 | − | 0.482030i | |||||
6.73968 | − | 11.6735i | 1.27368 | − | 2.20608i | |||||
−0.631591 | + | 2.10966i | −0.117284 | + | 0.391754i | −0.996392 | − | 0.0848670i | ||
0.879109 | + | 0.476621i | ||||||||
0.0418260 | − | 6.08272i | 0.00763634 | − | 1.11055i | |||||
3.14652 | + | 2.06950i | 0.565132 | + | 0.371693i | 0.799694 | − | 0.600408i | ||
−0.234562 | + | 0.972101i | ||||||||
−1.41830 | − | 1.90511i | −0.250723 | − | 0.336779i | |||||
−3.73262 | + | 7.30654i | −0.649765 | + | 1.27191i | |||||
6.24541 | − | 4.10767i | 1.07108 | − | 0.704459i | |||||
−4.21955 | − | 1.53579i | −0.713233 | − | 0.259596i | |||||
−12.2928 | − | 3.09260i | −2.04880 | − | 0.515433i | |||||
−6.31317 | + | 2.29781i | −1.03788 | + | 0.377757i | −0.804076 | − | 0.594527i | ||
−0.233803 | + | 0.972284i | ||||||||
−10.5863 | + | 14.2199i | −1.71733 | + | 2.30677i | |||||
−1.63511 | − | 3.31237i | −0.261827 | − | 0.530403i | |||||
−5.36304 | + | 5.68449i | −0.847971 | + | 0.898797i | |||||
2.90628 | − | 3.08048i | 0.453884 | − | 0.481089i | −0.459506 | − | 0.888175i | ||
0.913390 | + | 0.407085i | ||||||||
−7.65481 | + | 11.4661i | −1.18116 | + | 1.76925i | |||||
0.474097 | − | 0.636822i | 0.0722991 | − | 0.0971145i | −0.764503 | − | 0.644621i | ||
0.836802 | + | 0.547506i | ||||||||
18.8082 | − | 6.84563i | 2.83544 | − | 1.03202i | |||||
−0.303475 | + | 4.21177i | −0.0452394 | + | 0.627853i | |||||
−7.09015 | − | 2.58060i | −1.04538 | − | 0.380489i | |||||
4.83370 | − | 3.17917i | 0.705067 | − | 0.463730i | −0.145662 | − | 0.989334i | ||
0.850729 | + | 0.525605i | ||||||||
5.08810 | + | 7.85317i | 0.734404 | + | 1.13351i | |||||
1.89725 | + | 2.54844i | 0.271035 | + | 0.364063i | |||||
−6.29289 | − | 4.13890i | −0.889949 | − | 0.585328i | |||||
−4.51172 | + | 2.56364i | −0.631768 | + | 0.358982i | |||||
−2.58448 | + | 8.63275i | −0.358402 | + | 1.19715i | |||||
4.83254 | − | 8.37020i | 0.663800 | − | 1.14973i | −0.315809 | − | 0.948823i | ||
0.979609 | − | 0.200912i | ||||||||
12.3407 | + | 3.97371i | 1.67935 | + | 0.540753i | |||||
−3.33382 | − | 5.77435i | −0.449532 | − | 0.778613i | |||||
17.2350 | − | 4.08478i | 2.30313 | − | 0.545851i | |||||
7.97512 | − | 9.37273i | 1.05633 | − | 1.24145i | |||||
−4.91010 | + | 2.46595i | −0.644728 | + | 0.323795i | |||||
−0.636054 | + | 1.47454i | −0.0828072 | + | 0.191969i | −0.954589 | − | 0.297926i | ||
0.871782 | + | 0.489894i | ||||||||
7.54120 | − | 7.01737i | 0.973564 | − | 0.905939i | |||||
0.0674875 | + | 1.15872i | 0.00864089 | + | 0.148358i | 0.999869 | + | 0.0161951i | ||
−0.991228 | + | 0.132163i | ||||||||
1.63170 | + | 9.25383i | 0.207226 | + | 1.17524i | |||||
5.82012 | − | 7.59739i | 0.733266 | − | 0.957181i | |||||
−0.847235 | + | 4.80491i | −0.105904 | + | 0.600613i | |||||
2.98162 | + | 0.348502i | 0.369825 | + | 0.0432263i | |||||
−19.6512 | + | 5.73625i | −2.41890 | + | 0.706083i | |||||
1.71558 | + | 5.73045i | 0.209592 | + | 0.700085i | 0.996544 | + | 0.0830710i | ||
−0.786952 | + | 0.617014i | ||||||||
12.3177 | + | 2.91935i | 1.49374 | + | 0.354024i | |||||
4.79507 | + | 2.10761i | 0.577258 | + | 0.253727i | |||||
−4.43754 | − | 10.2874i | −0.530388 | − | 1.22958i | |||||
2.74773 | + | 2.30562i | 0.326095 | + | 0.273626i | 0.791107 | − | 0.611678i | ||
−0.465011 | + | 0.885305i | ||||||||
−8.12917 | − | 14.5383i | −0.958032 | − | 1.71335i | |||||
8.55952 | − | 7.18229i | 1.00182 | − | 0.840623i | 0.0145810 | − | 0.999894i | ||
0.987235 | + | 0.159270i | ||||||||
−14.9796 | − | 7.52304i | −1.74134 | − | 0.874536i | |||||
4.17246 | + | 3.15111i | 0.481795 | + | 0.363858i | |||||
−29.8185 | + | 3.48528i | −3.42041 | + | 0.399789i | |||||
−0.878675 | + | 15.0863i | −0.100134 | + | 1.71924i | |||||
3.21175 | − | 8.63892i | 0.363659 | − | 0.978165i | |||||
−3.21730 | − | 3.41014i | −0.361975 | − | 0.383671i | 0.520633 | − | 0.853780i | ||
−0.882608 | + | 0.470110i | ||||||||
−7.60435 | −0.850192 | |||||||||
−8.36938 | − | 3.30960i | −0.929931 | − | 0.367733i | |||||
10.5667 | 1.16690 | |||||||||
−10.2659 | − | 10.8812i | −1.12683 | − | 1.19437i | −0.978677 | − | 0.205406i | ||
−0.148154 | − | 0.988964i | ||||||||
−23.0196 | + | 3.89596i | −2.51164 | + | 0.425084i | |||||
0.245199 | − | 4.20991i | 0.0265956 | − | 0.456629i | |||||
1.96748 | − | 0.229966i | 0.212159 | − | 0.0247978i | |||||
3.51264 | − | 1.48664i | 0.376594 | − | 0.159385i | |||||
23.5034 | + | 11.8038i | 2.50547 | + | 1.25829i | |||||
3.17449 | − | 2.66371i | 0.336495 | − | 0.282353i | −0.458845 | − | 0.888516i | ||
0.795340 | + | 0.606164i | ||||||||
−8.16328 | + | 6.66067i | −0.860485 | + | 0.702096i | |||||
−5.21193 | − | 4.37333i | −0.546358 | − | 0.458449i | |||||
−5.06091 | − | 11.7325i | −0.527637 | − | 1.22320i | |||||
−0.712713 | − | 6.48400i | −0.0739049 | − | 0.672360i | |||||
14.0460 | + | 3.32896i | 1.44873 | + | 0.343356i | |||||
2.86831 | + | 9.58083i | 0.294283 | + | 0.982973i | |||||
−0.976202 | + | 3.99627i | −0.0996332 | + | 0.407867i | |||||
−12.5027 | − | 1.46135i | −1.26946 | − | 0.148378i | −0.545433 | − | 0.838154i | ||
−0.724023 | + | 0.689776i | ||||||||
−1.37652 | + | 7.80666i | −0.139050 | + | 0.788591i | |||||
13.8718 | − | 3.08682i | 1.39416 | − | 0.310238i | |||||
−2.21491 | − | 12.5614i | −0.221491 | − | 1.25614i | |||||
0.261942 | + | 4.49737i | 0.0260642 | + | 0.447505i | 0.985942 | + | 0.167087i | ||
−0.959878 | + | 0.280418i | ||||||||
−12.3776 | − | 3.79854i | −1.22557 | − | 0.376112i | |||||
5.52933 | − | 12.8184i | 0.544821 | − | 1.26304i | −0.394152 | − | 0.919045i | ||
0.938973 | − | 0.343992i | ||||||||
−10.5817 | + | 5.31435i | −1.03763 | + | 0.521115i | |||||
2.60975 | + | 7.32659i | 0.254685 | + | 0.715002i | |||||
23.4648 | − | 5.56127i | 2.27911 | − | 0.540158i | |||||
−2.27719 | − | 3.94420i | −0.220144 | − | 0.381301i | 0.734708 | − | 0.678384i | ||
−0.954852 | + | 0.297083i | ||||||||
9.44671 | + | 19.8190i | 0.909010 | + | 1.90708i | |||||
−3.56879 | + | 6.18132i | −0.341828 | + | 0.592063i | −0.984772 | − | 0.173850i | ||
0.642944 | + | 0.765913i | ||||||||
4.77129 | − | 15.9372i | 0.454925 | − | 1.51956i | |||||
10.0373 | + | 5.88741i | 0.952695 | + | 0.558808i | |||||
14.3995 | + | 9.47070i | 1.36062 | + | 0.894897i | |||||
4.67557 | + | 6.28038i | 0.439840 | + | 0.590808i | 0.965667 | − | 0.259784i | ||
−0.525826 | + | 0.850592i | ||||||||
30.6651 | − | 1.57455i | 2.87205 | − | 0.147470i | |||||
−3.55629 | + | 2.33901i | −0.331626 | + | 0.218114i | |||||
−8.74368 | − | 3.18244i | −0.811830 | − | 0.295482i | |||||
−2.61472 | + | 5.83946i | −0.241731 | + | 0.539859i | |||||
−3.76510 | + | 1.37039i | −0.346606 | + | 0.126154i | |||||
−5.70746 | + | 7.66645i | −0.523202 | + | 0.702782i | |||||
13.5075 | + | 0.879955i | 1.23306 | + | 0.0803285i | |||||
−7.85014 | + | 8.32067i | −0.713649 | + | 0.756424i | |||||
−1.98733 | + | 2.10644i | −0.179924 | + | 0.190708i | |||||
−7.31983 | − | 0.476855i | −0.660007 | − | 0.0429966i | |||||
−9.50247 | + | 12.7640i | −0.853347 | + | 1.14624i | |||||
−10.6062 | + | 3.86035i | −0.948650 | + | 0.345280i | |||||
23.7533 | − | 2.44575i | 2.11611 | − | 0.217885i | |||||
9.61531 | + | 3.49969i | 0.853220 | + | 0.310547i | 0.731353 | − | 0.681999i | ||
0.121868 | + | 0.992546i | ||||||||
−14.1395 | + | 9.29968i | −1.24976 | + | 0.821983i | |||||
−1.37330 | + | 0.0705144i | −0.120913 | + | 0.00620845i | |||||
4.47269 | + | 6.00787i | 0.392281 | + | 0.526925i | |||||
−7.19028 | − | 4.72912i | −0.628218 | − | 0.413185i | 0.195086 | − | 0.980786i | ||
−0.823304 | + | 0.567601i | ||||||||
−29.9030 | − | 17.5398i | −2.60272 | − | 1.52664i | |||||
6.50087 | − | 21.7144i | 0.563697 | − | 1.88288i | |||||
−7.46238 | + | 12.9252i | −0.644652 | + | 1.11657i | |||||
5.95549 | − | 4.24562i | 0.512567 | − | 0.365405i | |||||
8.31720 | + | 14.4058i | 0.713194 | + | 1.23529i | |||||
1.03986 | − | 0.246452i | 0.0888413 | − | 0.0210558i | −0.185955 | − | 0.982558i | ||
0.274796 | + | 0.961503i | ||||||||
4.38519 | + | 12.3109i | 0.373292 | + | 1.04798i | |||||
−6.65577 | + | 3.34265i | −0.564535 | + | 0.283520i | −0.708090 | − | 0.706122i | ||
0.143555 | + | 0.989642i | ||||||||
7.51483 | − | 17.4213i | 0.635119 | − | 1.47237i | |||||
−9.57978 | − | 2.93992i | −0.806763 | − | 0.247586i | |||||
0.520368 | + | 8.93437i | 0.0436683 | + | 0.749756i | |||||
−1.75431 | − | 9.94920i | −0.146703 | − | 0.831994i | |||||
4.86144 | − | 15.4612i | 0.405120 | − | 1.28844i | |||||
−0.538257 | + | 3.05261i | −0.0446998 | + | 0.253505i | |||||
27.6904 | + | 3.23654i | 2.29167 | + | 0.267858i | |||||
1.30585 | − | 5.34575i | 0.107705 | − | 0.440910i | |||||
−8.14146 | − | 27.1944i | −0.669224 | − | 2.23536i | |||||
−2.37562 | − | 0.563032i | −0.194618 | − | 0.0461254i | 0.132151 | − | 0.991230i | ||
−0.326769 | + | 0.945104i | ||||||||
1.42539 | + | 12.9677i | 0.116383 | + | 1.05881i | |||||
8.46731 | + | 19.6294i | 0.689060 | + | 1.59742i | 0.797501 | + | 0.603318i | ||
−0.108440 | + | 0.994103i | ||||||||
−30.2201 | − | 25.3577i | −2.45117 | − | 2.05678i | |||||
8.40287 | + | 3.18993i | 0.679331 | + | 0.257890i | |||||
−28.8836 | + | 24.2362i | −2.32751 | + | 1.95301i | |||||
4.73715 | + | 2.37908i | 0.380497 | + | 0.191093i | |||||
14.3737 | − | 6.08335i | 1.15082 | − | 0.487058i | |||||
6.41788 | − | 0.750143i | 0.512203 | − | 0.0598679i | 0.143934 | − | 0.989587i | ||
0.368269 | + | 0.929719i | ||||||||
0.680151 | − | 11.6777i | 0.0541099 | − | 0.929031i | |||||
−16.5057 | + | 2.79351i | −1.30898 | + | 0.221540i | |||||
−2.29416 | − | 2.43167i | −0.181369 | − | 0.192240i | |||||
9.64722 | 0.760307 | |||||||||
−8.32376 | − | 20.8558i | −0.653976 | − | 1.63858i | |||||
−6.49040 | −0.508367 | −0.254184 | − | 0.967156i | ||||||
−0.254184 | + | 0.967156i | ||||||||
12.2799 | + | 13.0159i | 0.958897 | + | 1.01637i | |||||
−4.02441 | + | 10.8248i | −0.313300 | + | 0.842710i | |||||
2.17026 | − | 37.2619i | 0.168445 | − | 2.89208i | |||||
3.87721 | − | 0.453181i | 0.300028 | − | 0.0350682i | 0.0352527 | − | 0.999378i | ||
0.264775 | + | 0.964310i | ||||||||
−24.4817 | − | 18.4889i | −1.88880 | − | 1.42645i | |||||
−7.55258 | − | 3.79305i | −0.580967 | − | 0.291773i | |||||
8.06013 | − | 6.76325i | 0.618184 | − | 0.518718i | |||||
−21.3135 | − | 0.293126i | −1.62989 | − | 0.0224159i | |||||
2.56973 | + | 2.15626i | 0.195940 | + | 0.164413i | |||||
6.46827 | + | 14.9951i | 0.491774 | + | 1.14006i | 0.965739 | + | 0.259516i | ||
−0.473965 | + | 0.880544i | ||||||||
8.71238 | + | 3.82942i | 0.660484 | + | 0.290308i | |||||
9.37077 | + | 2.22091i | 0.708364 | + | 0.167885i | |||||
7.33979 | + | 24.5166i | 0.553258 | + | 1.84801i | |||||
2.67003 | − | 0.779389i | 0.200691 | − | 0.0585825i | |||||
10.2696 | + | 1.20034i | 0.769737 | + | 0.0899694i | |||||
−3.76729 | + | 21.3654i | −0.281581 | + | 1.59692i | 0.435670 | + | 0.900107i | ||
−0.717250 | + | 0.696816i | ||||||||
−17.6913 | − | 2.31484i | −1.31863 | − | 0.172538i | |||||
−1.10326 | − | 6.25687i | −0.0820043 | − | 0.465070i | −0.997963 | − | 0.0637968i | ||
0.915959 | − | 0.401273i | ||||||||
−0.987041 | − | 16.9468i | −0.0731644 | − | 1.25618i | |||||
1.47173 | − | 1.36950i | 0.108794 | − | 0.101237i | |||||
6.65026 | − | 15.4170i | 0.490264 | − | 1.13656i | |||||
−8.45061 | + | 4.24406i | −0.621301 | + | 0.312029i | |||||
10.5471 | − | 12.3954i | 0.773350 | − | 0.908877i | |||||
−13.8095 | + | 3.27292i | −1.00985 | + | 0.239339i | |||||
12.2227 | + | 21.1703i | 0.891429 | + | 1.54400i | |||||
−16.5649 | + | 0.622293i | −1.20492 | + | 0.0452652i | |||||
−12.4765 | + | 21.6099i | −0.905139 | + | 1.56775i | |||||
−3.95814 | + | 13.2211i | −0.286401 | + | 0.956646i | 0.686830 | + | 0.726818i | ||
−0.973231 | + | 0.229828i | ||||||||
7.34743 | − | 4.17494i | 0.530255 | − | 0.301301i | |||||
−3.15541 | − | 2.07534i | −0.227131 | − | 0.149387i | 0.430843 | − | 0.902427i | ||
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29.3534 | + | 19.8897i | 2.08606 | + | 1.41350i | |||||
15.9504 | − | 5.80546i | 1.13069 | − | 0.411538i | 0.292148 | − | 0.956373i | ||
0.838543 | + | 0.544835i | ||||||||
10.0089 | − | 13.4443i | 0.707736 | − | 0.950654i | |||||
5.75267 | − | 8.61687i | 0.405762 | − | 0.607787i | |||||
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4.82105 | − | 5.11001i | 0.338371 | − | 0.358653i | |||||
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3.55973 | − | 4.78155i | 0.248622 | − | 0.333958i | |||||
32.7307 | − | 11.9130i | 2.28046 | − | 0.830018i | |||||
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28.1203 | − | 18.4950i | 1.94512 | − | 1.27933i | |||||
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11.5293 | + | 15.4866i | 0.793712 | + | 1.06614i | 0.996221 | + | 0.0868601i | ||
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34.1194 | + | 22.4407i | 2.34333 | + | 1.54123i | |||||
0.0427187 | − | 6.21255i | 0.00292704 | − | 0.425677i | |||||
3.25906 | − | 10.8860i | 0.222785 | − | 0.744153i | |||||
0.558746 | − | 0.967777i | 0.0381062 | − | 0.0660018i | |||||
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25.1761 | − | 12.6439i | 1.69737 | − | 0.852452i | |||||
2.53079 | − | 5.86702i | 0.170239 | − | 0.394659i | |||||
6.50122 | + | 28.2965i | 0.436333 | + | 1.89913i | |||||
0.880079 | + | 15.1104i | 0.0589345 | + | 1.01187i | 0.890078 | + | 0.455808i | ||
−0.831144 | + | 0.556058i | ||||||||
1.31572 | + | 7.46180i | 0.0879100 | + | 0.498562i | |||||
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37.5762 | + | 35.9429i | 2.48854 | + | 2.38038i | |||||
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0.823185 | − | 0.567773i | ||||||||
−10.3340 | − | 2.44921i | −0.681406 | − | 0.161496i | |||||
21.1021 | − | 15.4856i | 1.38842 | − | 1.01888i | |||||
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6.23822 | − | 5.23449i | 0.406937 | − | 0.341460i | |||||
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0.953580 | − | 16.3723i | 0.0616819 | − | 1.05904i | −0.815462 | − | 0.578811i | ||
0.877144 | − | 0.480227i | ||||||||
8.39666 | + | 10.1476i | 0.542002 | + | 0.655027i | |||||
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−0.762862 | + | 0.646562i | ||||||||
−28.5417 | −1.83473 | |||||||||
4.82490 | + | 14.8230i | 0.309517 | + | 0.950894i | |||||
−4.90421 | −0.313960 | |||||||||
3.06887 | + | 3.25281i | 0.196063 | + | 0.207814i | |||||
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−0.0568910 | + | 0.998380i | ||||||||
30.6170 | + | 26.4166i | 1.92869 | + | 1.66409i | |||||
10.9736 | + | 9.20793i | 0.689903 | + | 0.578898i | |||||
10.1121 | + | 23.4424i | 0.634487 | + | 1.47091i | |||||
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−0.995229 | + | 0.0975692i | ||||||||
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21.2876 | + | 2.48817i | 1.32275 | + | 0.154607i | |||||
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0.569983 | − | 0.821657i | ||||||||
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5.38834 | − | 12.4916i | 0.331003 | − | 0.767352i | |||||
50.5390 | − | 25.3816i | 3.09874 | − | 1.55625i | |||||
−7.05983 | − | 1.29495i | −0.432055 | − | 0.0792499i | |||||
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8.19176 | + | 14.1885i | 0.499460 | + | 0.865091i | 1.00000 | 0.000622889i | |||
−0.500539 | + | 0.865714i | ||||||||
17.9022 | + | 3.53885i | 1.08949 | + | 0.215368i | |||||
13.6365 | − | 23.6192i | 0.828361 | − | 1.43476i | −0.0709627 | − | 0.997479i | ||
0.899323 | − | 0.437284i | ||||||||
−4.64215 | + | 15.5059i | −0.281472 | + | 0.940182i | |||||
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2.22773 | + | 1.46520i | 0.134582 | + | 0.0885160i | |||||
8.53935 | + | 11.4703i | 0.514942 | + | 0.691687i | |||||
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19.1354 | − | 12.5855i | 1.14973 | − | 0.756192i | 0.176115 | − | 0.984370i | ||
0.973620 | + | 0.228177i | ||||||||
−17.4624 | − | 6.35580i | −1.04733 | − | 0.381196i | |||||
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23.4278 | − | 8.52704i | 1.40008 | − | 0.509588i | |||||
17.9072 | − | 24.0535i | 1.06825 | − | 1.43491i | 0.175439 | − | 0.984490i | ||
0.892815 | − | 0.450424i | ||||||||
−11.0671 | − | 22.4195i | −0.659037 | − | 1.33506i | |||||
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0.328912 | + | 0.944360i | ||||||||
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9.61799 | − | 14.4067i | 0.569721 | − | 0.853379i | |||||
15.0524 | − | 20.2189i | 0.890068 | − | 1.19557i | |||||
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6.41074 | − | 3.10995i | 0.377756 | − | 0.183255i | |||||
7.54012 | + | 2.74438i | 0.443536 | + | 0.161434i | |||||
−6.46159 | + | 4.24985i | −0.379438 | + | 0.249560i | |||||
11.8553 | + | 18.2979i | 0.694967 | + | 1.07264i | |||||
28.1930 | + | 37.8698i | 1.64987 | + | 2.21616i | |||||
6.43251 | + | 4.23073i | 0.375791 | + | 0.247162i | 0.723328 | − | 0.690505i | ||
−0.347537 | + | 0.937666i | ||||||||
11.9376 | − | 6.78313i | 0.696212 | − | 0.395600i | |||||
−0.648280 | + | 2.16541i | −0.0377443 | + | 0.126075i | |||||
18.6508 | − | 32.3042i | 1.08406 | − | 1.87764i | |||||
−19.4363 | − | 15.1027i | −1.12781 | − | 0.876350i | |||||
−3.04574 | − | 5.27538i | −0.176435 | − | 0.305595i | |||||
−6.27559 | + | 1.48734i | −0.362927 | + | 0.0860152i | |||||
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5.71230 | − | 5.31551i | 0.328163 | − | 0.305368i | |||||
−2.23193 | − | 38.3208i | −0.128010 | − | 2.19785i | |||||
0.283694 | + | 1.60891i | 0.0162443 | + | 0.0921258i | |||||
8.59827 | + | 20.7116i | 0.491531 | + | 1.18401i | |||||
2.28454 | − | 12.9563i | 0.130386 | − | 0.739454i | −0.847577 | − | 0.530673i | ||
0.977962 | − | 0.208781i | ||||||||
−63.4202 | − | 7.41276i | −3.61370 | − | 0.422381i | |||||
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3.79334 | + | 12.6706i | 0.215447 | + | 0.719644i | |||||
−5.33273 | − | 1.26388i | −0.302391 | − | 0.0716681i | 0.0766191 | − | 0.997060i | ||
−0.379011 | + | 0.925392i | ||||||||
18.7760 | + | 8.25277i | 1.06298 | + | 0.467221i | |||||
9.57732 | + | 22.2027i | 0.541342 | + | 1.25497i | 0.941031 | + | 0.338321i | ||
−0.399688 | + | 0.916651i | ||||||||
12.3501 | + | 10.3630i | 0.696959 | + | 0.584818i | |||||
6.89532 | − | 11.5725i | 0.388507 | − | 0.652039i | |||||
15.1749 | − | 12.7332i | 0.853653 | − | 0.716300i | |||||
9.24502 | + | 4.64302i | 0.519252 | + | 0.260778i | 0.689067 | − | 0.724698i | ||
−0.169815 | + | 0.985476i | ||||||||
−33.3309 | − | 25.1720i | −1.86911 | − | 1.41158i | |||||
10.3612 | − | 1.21105i | 0.580116 | − | 0.0678059i | |||||
−0.399312 | + | 6.85592i | −0.0223222 | + | 0.383258i | |||||
−2.74890 | + | 7.39395i | −0.153429 | + | 0.412690i | |||||
16.5181 | + | 17.5081i | 0.920515 | + | 0.975689i | |||||
21.2871 | 1.18444 | |||||||||
16.0165 | − | 34.4901i | 0.889808 | − | 1.91612i | |||||
−6.43816 | −0.357125 | |||||||||
−11.1129 | − | 11.7790i | −0.615488 | − | 0.652379i | |||||
12.1893 | − | 2.06298i | 0.674070 | − | 0.114083i | |||||
−1.36722 | + | 23.4742i | −0.0754920 | + | 1.29615i | |||||
−18.3318 | + | 2.14268i | −1.01066 | + | 0.118130i | |||||
−26.5359 | + | 11.2307i | −1.46075 | + | 0.618229i | |||||
−27.4917 | − | 13.8069i | −1.51108 | − | 0.758894i | −0.515873 | − | 0.856665i | ||
−0.995209 | + | 0.0977711i | ||||||||
48.4207 | − | 40.6298i | 2.65743 | − | 2.22985i | |||||
−3.22659 | − | 19.8951i | −0.176816 | − | 1.09024i | |||||
7.46105 | + | 6.26056i | 0.408250 | + | 0.342563i | |||||
3.33486 | + | 7.73108i | 0.182203 | + | 0.422394i | |||||
−3.26161 | − | 29.6729i | −0.177935 | − | 1.61879i | |||||
−32.0522 | − | 7.59650i | −1.74599 | − | 0.413808i | −0.771141 | − | 0.636664i | ||
−0.974851 | + | 0.222856i | ||||||||
−6.04784 | − | 20.2012i | −0.328959 | − | 1.09880i | |||||
3.21814 | − | 13.1741i | 0.174785 | − | 0.715517i | |||||
17.6978 | + | 2.06857i | 0.959796 | + | 0.112184i | |||||
3.09789 | − | 17.5690i | 0.167760 | − | 0.951414i | |||||
−35.9612 | − | 39.1824i | −1.94456 | − | 2.11874i | |||||
2.11774 | + | 12.0103i | 0.114347 | + | 0.648496i | |||||
0.256304 | + | 4.40056i | 0.0138190 | + | 0.237263i | |||||
7.04812 | + | 2.16298i | 0.379458 | + | 0.116451i | |||||
−16.1387 | + | 37.4137i | −0.867621 | + | 2.01137i | |||||
−23.1751 | + | 11.6390i | −1.24410 | + | 0.624812i | −0.944268 | − | 0.329178i | ||
−0.299836 | + | 0.953991i | ||||||||
5.40788 | + | 15.1820i | 0.289893 | + | 0.813843i | |||||
14.3802 | − | 3.40817i | 0.769755 | − | 0.182435i | 0.173069 | − | 0.984910i | ||
0.596686 | + | 0.802475i | ||||||||
12.0141 | + | 20.8091i | 0.642182 | + | 1.11229i | |||||
10.6796 | − | 2.95866i | 0.570037 | − | 0.157922i | |||||
−5.62541 | + | 9.74350i | −0.299836 | + | 0.519330i | |||||
−1.98881 | + | 6.64309i | −0.105854 | + | 0.353576i | −0.994463 | − | 0.105089i | ||
0.888609 | + | 0.458665i | ||||||||
5.98611 | + | 3.51118i | 0.318158 | + | 0.186617i | |||||
4.21820 | + | 2.77435i | 0.223879 | + | 0.147247i | |||||
10.4560 | + | 14.0448i | 0.554167 | + | 0.744375i | |||||
16.5326 | − | 0.848895i | 0.875000 | − | 0.0449283i | |||||
−45.2250 | + | 29.7450i | −2.39022 | + | 1.57207i | |||||
28.2850 | + | 10.2949i | 1.49283 | + | 0.543344i | 0.954192 | − | 0.299195i | ||
0.538634 | + | 0.842540i | ||||||||
−13.7406 | − | 18.9967i | −0.724194 | − | 1.00122i | |||||
−29.5849 | + | 10.7680i | −1.55710 | + | 0.566738i | |||||
9.46619 | − | 12.7153i | 0.497532 | − | 0.668301i | |||||
19.7716 | + | 1.28803i | 1.03774 | + | 0.0676042i | |||||
19.7278 | − | 20.9102i | 1.03402 | − | 1.09599i | |||||
10.7929 | − | 11.4399i | 0.564929 | − | 0.598789i | |||||
5.00533 | + | 0.326076i | 0.261633 | + | 0.0170443i | |||||
−13.7405 | + | 18.4567i | −0.717247 | + | 0.963430i | 0.282744 | + | 0.959195i | ||
−0.999991 | + | 0.00423434i | ||||||||
15.3522 | − | 5.58774i | 0.800288 | − | 0.291281i | |||||
7.44615 | + | 10.2945i | 0.387631 | + | 0.535911i | |||||
−22.1715 | − | 8.06976i | −1.15264 | − | 0.419527i | |||||
−25.7607 | + | 16.9431i | −1.33743 | + | 0.879641i | |||||
27.5255 | − | 1.41334i | 1.42713 | − | 0.0732784i | |||||
−18.8164 | − | 25.2748i | −0.974276 | − | 1.30868i | −0.951079 | − | 0.308949i | ||
−0.0231970 | − | 0.999731i | ||||||||
−29.5846 | − | 19.4581i | −1.52978 | − | 1.00615i | |||||
16.8628 | + | 9.89094i | 0.870789 | + | 0.510766i | |||||
−9.21276 | + | 30.7728i | −0.475112 | + | 1.58698i | |||||
−2.34830 | + | 4.06738i | −0.120944 | + | 0.209481i | |||||
−29.4919 | − | 28.9970i | −1.51690 | − | 1.49145i | |||||
9.45804 | + | 16.3818i | 0.485827 | + | 0.841477i | 0.999867 | − | 0.0162889i | ||
−0.514040 | + | 0.857766i | ||||||||
−41.1180 | + | 9.74514i | −2.10931 | + | 0.499915i | |||||
−5.94697 | − | 16.6955i | −0.304673 | − | 0.855336i | |||||
−30.7713 | + | 15.4539i | −1.57440 | + | 0.790692i | |||||
11.8079 | − | 27.3739i | 0.603358 | − | 1.39874i | −0.293302 | − | 0.956020i | ||
0.896659 | − | 0.442721i | ||||||||
28.0227 | + | 8.59983i | 1.43003 | + | 0.438858i | |||||
1.23679 | + | 21.2349i | 0.0630327 | + | 1.08223i | |||||
−1.63631 | − | 9.27997i | −0.0832859 | − | 0.472338i | |||||
1.61049 | + | 1.75474i | 0.0818656 | + | 0.0891987i | |||||
9.23585 | − | 52.3791i | 0.468879 | − | 2.65915i | |||||
−5.79263 | − | 0.677061i | −0.293698 | − | 0.0343283i | −0.0320318 | − | 0.999487i | ||
−0.261666 | + | 0.965159i | ||||||||
3.07850 | − | 12.6024i | 0.155886 | − | 0.638149i | |||||
2.59845 | + | 8.67943i | 0.131409 | + | 0.438938i | |||||
−17.1646 | − | 4.06808i | −0.866942 | − | 0.205469i | |||||
1.62866 | + | 14.8169i | 0.0821549 | + | 0.747416i | |||||
−5.45197 | − | 12.6391i | −0.274666 | − | 0.636748i | |||||
−5.05517 | − | 4.24179i | −0.254353 | − | 0.213428i | |||||
9.61267 | + | 59.2714i | 0.483055 | + | 2.97850i | |||||
4.50462 | − | 3.77983i | 0.226081 | − | 0.189704i | −0.522710 | − | 0.852510i | ||
0.748791 | + | 0.662806i | ||||||||
37.8463 | + | 19.0071i | 1.89706 | + | 0.952742i | |||||
−36.1551 | + | 15.3018i | −1.81002 | + | 0.766047i | |||||
16.1986 | − | 1.89335i | 0.809931 | − | 0.0946674i | |||||
−0.623901 | + | 10.7120i | −0.0311561 | + | 0.534930i | 0.946234 | + | 0.323484i | ||
−0.977390 | + | 0.211446i | ||||||||
25.4880 | − | 4.31373i | 1.27123 | − | 0.215149i | |||||
5.51187 | + | 5.84225i | 0.274566 | + | 0.291023i | |||||
−19.0349 | −0.947023 | |||||||||
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17.5285 | 0.869924 | |||||||||
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10.0401 | − | 27.0057i | 0.497059 | − | 1.33698i | |||||
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52.7115 | + | 26.4727i | 2.59691 | + | 1.30422i | |||||
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0.0374302 | + | 0.999299i | ||||||||
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0.525874 | + | 9.02891i | 0.0255086 | + | 0.437967i | |||||
11.3479 | − | 10.5597i | 0.549808 | − | 0.511617i | |||||
1.46659 | − | 3.39993i | 0.0709731 | − | 0.164534i | |||||
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0.994180 | − | 0.107732i | ||||||||
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0.988280 | − | 0.152651i | ||||||||
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21.9532 | + | 18.9414i | 1.00517 | + | 0.867269i | |||||
31.3458 | − | 26.3023i | 1.43372 | − | 1.20304i | |||||
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34.9560 | − | 4.08577i | 1.57754 | − | 0.184388i | 0.718217 | − | 0.695819i | ||
0.859324 | + | 0.511431i | ||||||||
3.80977 | − | 30.7589i | 0.171758 | − | 1.38672i | |||||
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2.35988 | + | 53.0850i | 0.105117 | + | 2.36459i | |||||
1.10111 | + | 6.24473i | 0.0489989 | + | 0.277887i | |||||
2.07819 | + | 35.6812i | 0.0923868 | + | 1.58622i | |||||
3.27785 | + | 14.2668i | 0.145574 | + | 0.633611i | |||||
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0.0723693 | + | 0.997378i | ||||||||
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23.1430 | + | 28.7655i | 1.02179 | + | 1.27003i | |||||
7.67834 | − | 13.2993i | 0.338677 | − | 0.586606i | |||||
5.63561 | − | 18.8243i | 0.248335 | − | 0.829496i | |||||
0.0399515 | − | 5.81011i | 0.00175877 | − | 0.255776i | |||||
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31.9333 | + | 42.8939i | 1.40307 | + | 1.88465i | |||||
12.8681 | − | 25.1891i | 0.564846 | − | 1.10568i | |||||
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2.55225 | − | 0.928943i | 0.111602 | − | 0.0406198i | −0.285616 | − | 0.958344i | ||
0.397218 | + | 0.917724i | ||||||||
21.7146 | − | 29.1678i | 0.948607 | − | 1.27420i | |||||
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43.7128 | − | 46.3328i | 1.90597 | − | 2.02021i | |||||
7.74298 | − | 8.20708i | 0.337290 | − | 0.357506i | |||||
24.6117 | − | 36.8656i | 1.07109 | − | 1.60437i | |||||
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31.8961 | − | 11.6092i | 1.38548 | − | 0.504273i | |||||
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89.9974 | + | 32.7564i | 3.90188 | + | 1.42017i | |||||
7.54627 | − | 4.96326i | 0.326865 | − | 0.214983i | |||||
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32.6709 | − | 18.5642i | 1.40985 | − | 0.801104i | |||||
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7.52504 | − | 13.0337i | 0.324126 | − | 0.561403i | |||||
16.4455 | + | 26.1642i | 0.707702 | + | 1.12593i | |||||
19.9581 | + | 34.5684i | 0.858065 | + | 1.48621i | 0.873772 | + | 0.486336i | ||
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66.2135 | − | 15.6929i | 2.84412 | − | 0.674068i | |||||
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0.540346 | + | 9.27738i | 0.0231035 | + | 0.396672i | 0.989960 | + | 0.141350i | ||
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0.784096 | + | 4.44683i | 0.0334949 | + | 0.189959i | |||||
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4.28954 | + | 14.3281i | 0.182410 | + | 0.609292i | |||||
55.6045 | + | 13.1785i | 2.36241 | + | 0.559901i | |||||
14.9946 | + | 6.59069i | 0.636485 | + | 0.279759i | |||||
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28.8895 | + | 24.2411i | 1.22409 | + | 1.02713i | 0.998601 | + | 0.0528835i | ||
0.225485 | + | 0.974247i | ||||||||
−28.1871 | − | 0.387659i | −1.19326 | − | 0.0164109i | |||||
1.29707 | − | 1.08837i | 0.0548602 | − | 0.0460332i | |||||
21.6787 | + | 10.8875i | 0.916093 | + | 0.460079i | |||||
19.6159 | + | 14.8142i | 0.828184 | + | 0.625457i | |||||
74.3141 | − | 8.68607i | 3.13475 | − | 0.366400i | |||||
2.31955 | − | 39.8251i | 0.0977572 | − | 1.67843i | −0.491806 | − | 0.870705i | ||
0.589564 | − | 0.807722i | ||||||||
14.7546 | − | 39.6866i | 0.621279 | − | 1.67111i | |||||
7.56291 | + | 8.01622i | 0.318174 | + | 0.337245i | |||||
−38.7153 | −1.62732 | |||||||||
19.1212 | + | 21.4179i | 0.803015 | + | 0.899467i | |||||
−19.9153 | −0.835626 | |||||||||
−21.4166 | − | 22.7003i | −0.897831 | − | 0.951646i | 0.101234 | − | 0.994863i | ||
−0.999066 | + | 0.0432171i | ||||||||
42.6138 | − | 7.21220i | 1.78490 | − | 0.302086i | |||||
1.25067 | − | 21.4732i | 0.0523390 | − | 0.898627i | −0.865311 | − | 0.501236i | ||
0.917650 | − | 0.397390i | ||||||||
42.3982 | − | 4.95563i | 1.77276 | − | 0.207205i | |||||
22.0135 | − | 9.31669i | 0.919626 | − | 0.389210i | |||||
−30.1239 | − | 15.1288i | −1.25735 | − | 0.631464i | |||||
6.99316 | − | 5.86796i | 0.291635 | − | 0.244711i | |||||
−13.6842 | − | 5.19485i | −0.570176 | − | 0.216452i | |||||
1.05985 | + | 0.889324i | 0.0441223 | + | 0.0370230i | 0.664582 | − | 0.747215i | ||
−0.620460 | + | 0.784238i | ||||||||
7.92966 | + | 18.3830i | 0.329831 | + | 0.764633i | |||||
0.714726 | + | 6.50232i | 0.0297030 | + | 0.270227i | |||||
−12.7441 | − | 3.02040i | −0.529170 | − | 0.125415i | |||||
13.6873 | + | 45.7187i | 0.567844 | + | 1.89673i | |||||
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−2.70128 | + | 8.59109i | −0.111684 | + | 0.355198i | |||||
3.33572 | + | 18.9178i | 0.137797 | + | 0.781488i | |||||
0.466073 | + | 8.00217i | 0.0192369 | + | 0.330285i | 0.994173 | + | 0.107799i | ||
−0.974936 | + | 0.222486i | ||||||||
22.2283 | + | 6.82161i | 0.916680 | + | 0.281318i | |||||
−10.5986 | + | 24.5703i | −0.436707 | + | 1.01240i | |||||
−5.03985 | + | 2.53111i | −0.207487 | + | 0.104204i | |||||
3.20634 | + | 9.00145i | 0.131891 | + | 0.370270i | |||||
35.3175 | − | 8.37039i | 1.45154 | − | 0.344021i | |||||
−10.7066 | − | 18.5444i | −0.439668 | − | 0.761527i | 0.557996 | − | 0.829844i | ||
−0.997664 | + | 0.0683166i | ||||||||
−5.86999 | − | 61.1327i | −0.240849 | − | 2.50831i | |||||
−6.72652 | + | 11.6507i | −0.275761 | + | 0.477631i | |||||
2.95859 | − | 9.88237i | 0.121188 | − | 0.404798i | |||||
−25.3594 | − | 14.8747i | −1.03789 | − | 0.608779i | |||||
−13.4444 | − | 8.84252i | −0.549782 | − | 0.361598i | |||||
−13.8938 | − | 18.6626i | −0.567684 | − | 0.762531i | 0.421876 | − | 0.906653i | ||
−0.989560 | + | 0.144122i | ||||||||
−28.9925 | + | 1.48867i | −1.18361 | + | 0.0607745i | |||||
26.3770 | − | 17.3485i | 1.07594 | − | 0.707658i | 0.117537 | − | 0.993069i | ||
0.958405 | + | 0.285410i | ||||||||
−5.93821 | − | 2.16133i | −0.242023 | − | 0.0880893i | |||||
−17.8509 | + | 1.83801i | −0.726943 | + | 0.0748494i | |||||
−84.8800 | + | 30.8938i | −3.45372 | + | 1.25705i | |||||
−9.61519 | + | 12.9154i | −0.390913 | + | 0.525087i | |||||
19.4274 | + | 1.26561i | 0.789185 | + | 0.0514120i | |||||
3.23033 | − | 3.42395i | 0.131115 | − | 0.138974i | −0.658489 | − | 0.752590i | ||
0.789605 | + | 0.613616i | ||||||||
11.5806 | − | 12.2747i | 0.469656 | − | 0.497806i | |||||
−12.1424 | − | 0.791026i | −0.492036 | − | 0.0320540i | |||||
−2.43416 | + | 3.26965i | −0.0985563 | + | 0.132384i | |||||
11.5946 | − | 4.22010i | 0.469069 | − | 0.170727i | |||||
−15.5200 | + | 34.6608i | −0.627357 | + | 1.40108i | |||||
41.2145 | + | 15.0009i | 1.66464 | + | 0.605879i | 0.991082 | − | 0.133255i | ||
0.673558 | + | 0.739134i | ||||||||
27.4251 | − | 18.0378i | 1.10679 | − | 0.727946i | |||||
−10.3114 | + | 0.529454i | −0.415795 | + | 0.0213496i | |||||
−50.1041 | − | 67.3015i | −2.01875 | − | 2.71166i | |||||
14.8817 | + | 9.78784i | 0.599114 | + | 0.394044i | 0.812531 | − | 0.582918i | ||
−0.213417 | + | 0.976961i | ||||||||
−52.0383 | − | 30.5233i | −2.09329 | − | 1.22783i | |||||
−1.60750 | + | 5.36943i | −0.0646109 | + | 0.215816i | −0.984198 | − | 0.177070i | ||
0.919587 | + | 0.392886i | ||||||||
−11.1991 | + | 19.3975i | −0.449768 | + | 0.779021i | |||||
−8.90364 | + | 12.9475i | −0.357291 | + | 0.519565i | |||||
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6.69646 | + | 18.7996i | 0.268073 | + | 0.752586i | |||||
−0.708810 | + | 0.355978i | −0.0283524 | + | 0.0142391i | |||||
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−55.7309 | − | 17.1032i | −2.22568 | − | 0.683035i | |||||
1.58747 | + | 27.2558i | 0.0633470 | + | 1.08763i | |||||
3.49521 | + | 19.8223i | 0.139363 | + | 0.790367i | |||||
32.8085 | − | 7.30074i | 1.30712 | − | 0.290868i | |||||
−2.84022 | + | 16.1077i | −0.113067 | + | 0.641237i | 0.874622 | + | 0.484806i | ||
−0.987689 | + | 0.156431i | ||||||||
25.8544 | + | 3.02195i | 1.02843 | + | 0.120207i | |||||
7.93551 | − | 32.4855i | 0.315408 | − | 1.29118i | |||||
7.40308 | + | 24.7280i | 0.294014 | + | 0.982075i | |||||
14.0145 | + | 3.32150i | 0.556149 | + | 0.131810i | |||||
−7.72833 | − | 70.3096i | −0.306448 | − | 2.78796i | |||||
2.68379 | + | 6.22172i | 0.106336 | + | 0.246514i | |||||
19.9384 | + | 16.7303i | 0.789369 | + | 0.662360i | |||||
−8.33752 | + | 6.80284i | −0.329827 | + | 0.269116i | |||||
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20.8476 | + | 10.4700i | 0.823429 | + | 0.413541i | 0.810044 | − | 0.586369i | ||
0.0133847 | + | 0.999910i | ||||||||
−18.1255 | + | 7.67119i | −0.715357 | + | 0.302758i | |||||
14.4953 | − | 1.69426i | 0.571638 | − | 0.0668149i | 0.174637 | − | 0.984633i | ||
0.397002 | + | 0.917818i | ||||||||
−2.37012 | + | 40.6933i | −0.0933957 | + | 1.60354i | |||||
−1.90841 | + | 0.322991i | −0.0751438 | + | 0.0127177i | |||||
36.4479 | + | 38.6325i | 1.43402 | + | 1.51998i | |||||
1.33592 | 0.0525205 | 0.0262602 | − | 0.999655i | ||||||
0.0262602 | + | 0.999655i | ||||||||
47.4087 | − | 15.7929i | 1.86239 | − | 0.620405i | |||||
7.60705 | 0.298603 | |||||||||
−11.0235 | − | 11.6842i | −0.432377 | − | 0.458292i | |||||
−7.25159 | + | 19.5052i | −0.284212 | + | 0.764470i | |||||
1.59455 | − | 27.3774i | 0.0624475 | − | 1.07218i | |||||
−16.3676 | + | 1.91310i | −0.640514 | + | 0.0748654i | −0.430150 | − | 0.902758i | ||
−0.210365 | + | 0.977623i | ||||||||
24.6146 | + | 18.5893i | 0.962507 | + | 0.726900i | |||||
−10.8251 | − | 5.43657i | −0.422972 | − | 0.212424i | |||||
−17.5271 | + | 14.7069i | −0.684316 | + | 0.574210i | |||||
16.3597 | + | 29.2578i | 0.638252 | + | 1.14145i | |||||
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0.0944361 | − | 0.995531i | ||||||||
−44.6719 | − | 19.6350i | −1.73885 | − | 0.764290i | |||||
24.2010 | + | 5.73574i | 0.941310 | + | 0.223094i | 0.672499 | − | 0.740098i | ||
0.268811 | + | 0.963193i | ||||||||
−22.0144 | − | 73.5332i | −0.855614 | − | 2.85795i | |||||
−10.6237 | + | 3.10110i | −0.412591 | + | 0.120437i | |||||
82.4975 | + | 9.64257i | 3.20152 | + | 0.374204i | |||||
5.54020 | − | 31.4200i | 0.214840 | − | 1.21842i | |||||
30.5817 | − | 39.9203i | 1.18502 | − | 1.54688i | |||||
−1.15641 | − | 6.55832i | −0.0447764 | − | 0.253939i | |||||
0.959034 | + | 16.4660i | 0.0371061 | + | 0.637087i | |||||
19.1923 | − | 17.8592i | 0.742017 | − | 0.690475i | |||||
−8.32066 | + | 19.2895i | −0.321455 | + | 0.745217i | |||||
4.91333 | − | 2.46757i | 0.189677 | − | 0.0952594i | |||||
8.50461 | − | 9.99501i | 0.328072 | − | 0.385566i | |||||
1.92706 | − | 0.456722i | 0.0742827 | − | 0.0176053i | −0.193306 | − | 0.981138i | ||
0.267589 | + | 0.963533i | ||||||||
−41.0936 | − | 71.1762i | −1.58287 | − | 2.74161i | |||||
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17.8551 | − | 30.9260i | 0.686735 | − | 1.18946i | |||||
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−0.958671 | + | 0.284518i | ||||||||
29.4189 | − | 16.7163i | 1.12983 | − | 0.641987i | |||||
33.5508 | + | 22.0667i | 1.28756 | + | 0.846842i | |||||
13.9818 | + | 18.7809i | 0.536179 | + | 0.720214i | |||||
5.93489 | + | 9.16014i | 0.227426 | + | 0.351017i | |||||
37.1891 | − | 24.4596i | 1.42404 | − | 0.936608i | |||||
27.6811 | + | 10.0751i | 1.05919 | + | 0.385512i | 0.812123 | − | 0.583487i | ||
0.247064 | + | 0.968999i | ||||||||
6.47273 | − | 89.8314i | 0.247491 | − | 3.43479i | |||||
1.41350 | − | 0.514472i | 0.0540071 | − | 0.0196570i | |||||
−18.1707 | + | 24.4075i | −0.693762 | + | 0.931884i | |||||
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14.1454 | − | 14.9932i | 0.538895 | − | 0.571196i | |||||
8.14239 | + | 16.4947i | 0.309976 | + | 0.627941i | |||||
29.0246 | − | 38.9868i | 1.10415 | − | 1.48313i | 0.246320 | − | 0.969189i | ||
0.857827 | − | 0.513938i | ||||||||
−64.8408 | + | 23.6001i | −2.46488 | + | 0.897141i | |||||
−43.9656 | − | 11.0607i | −1.67011 | − | 0.420163i | |||||
−60.8034 | − | 22.1306i | −2.30807 | − | 0.840067i | |||||
−8.75884 | + | 5.76078i | −0.332242 | + | 0.218519i | |||||
−9.63445 | + | 18.8593i | −0.365193 | + | 0.714860i | |||||
−7.57688 | − | 10.1775i | −0.286995 | − | 0.385501i | |||||
30.8072 | + | 20.2622i | 1.16607 | + | 0.766936i | |||||
−0.250649 | + | 36.4517i | −0.00948041 | + | 1.37873i | |||||
−11.6703 | + | 38.9816i | −0.441097 | + | 1.47337i | |||||
3.03784 | − | 5.26170i | 0.114738 | − | 0.198732i | −0.802937 | − | 0.596064i | ||
0.917675 | + | 0.397332i | ||||||||
23.6553 | + | 14.3159i | 0.892810 | + | 0.540320i | |||||
−23.8675 | − | 41.3397i | −0.900179 | − | 1.55916i | |||||
22.4891 | − | 5.33001i | 0.847589 | − | 0.200882i | |||||
−13.8734 | − | 2.54473i | −0.522501 | − | 0.0958400i | |||||
−15.4614 | + | 7.76500i | −0.581897 | + | 0.292240i | |||||
5.69232 | − | 13.1963i | 0.214082 | − | 0.496297i | |||||
2.63161 | + | 11.4540i | 0.0989018 | + | 0.430469i | |||||
1.26191 | + | 21.6661i | 0.0473919 | + | 0.813688i | 0.935341 | + | 0.353747i | ||
−0.887949 | + | 0.459941i | ||||||||
2.18745 | + | 12.4056i | 0.0820934 | + | 0.465575i | |||||
11.8562 | − | 7.56644i | 0.444642 | − | 0.283764i | |||||
−3.99536 | + | 22.6588i | −0.149733 | + | 0.849175i | |||||
−11.3118 | − | 1.32216i | −0.423632 | − | 0.0495155i | |||||
29.8479 | + | 28.5505i | 1.11703 | + | 1.06848i | |||||
−4.07839 | − | 13.6228i | −0.152523 | − | 0.509462i | |||||
−89.1966 | − | 21.1400i | −3.33343 | − | 0.790038i | |||||
−22.9010 | + | 16.8057i | −0.855254 | + | 0.627619i | |||||
29.7463 | + | 68.9597i | 1.11012 | + | 2.57355i | |||||
−11.8323 | − | 9.92847i | −0.441270 | − | 0.370269i | 0.394915 | − | 0.918718i | ||
−0.836184 | + | 0.548449i | ||||||||
4.27002 | − | 22.4099i | 0.159134 | − | 0.835167i | |||||
−34.1158 | + | 28.6266i | −1.27054 | + | 1.06611i | |||||
−70.1977 | − | 35.2546i | −2.61249 | − | 1.31204i | |||||
−0.351772 | + | 2.84010i | −0.0130825 | + | 0.105624i | |||||
26.6634 | − | 3.11651i | 0.990938 | − | 0.115824i | |||||
0.386539 | − | 6.63661i | 0.0143557 | − | 0.246478i | |||||
31.5155 | + | 38.0876i | 1.16965 | + | 1.41356i | |||||
17.6753 | + | 18.7348i | 0.655542 | + | 0.694833i | 0.966812 | − | 0.255488i | ||
−0.311271 | + | 0.950321i | ||||||||
37.7756 | 1.40006 | |||||||||
14.4529 | − | 22.8060i | 0.535294 | − | 0.844666i | |||||
39.2412 | 1.45238 | |||||||||
−1.63228 | − | 1.73012i | −0.0603721 | − | 0.0639907i | |||||
5.41518 | + | 6.54443i | 0.200151 | + | 0.241889i | |||||
−1.69715 | + | 29.1389i | −0.0626857 | + | 1.07627i | 0.809507 | + | 0.587110i | ||
−0.872193 | + | 0.489162i | ||||||||
−57.0224 | + | 6.66496i | −2.10473 | + | 0.246008i | |||||
0.952102 | − | 7.68698i | 0.0351188 | − | 0.283539i | |||||
6.41842 | + | 3.22345i | 0.236586 | + | 0.118818i | |||||
21.7063 | − | 18.2138i | 0.799563 | − | 0.670913i | |||||
−5.93346 | + | 31.1399i | −0.218414 | + | 1.14628i | |||||
15.6599 | + | 13.1402i | 0.576058 | + | 0.483370i | 0.883650 | − | 0.468148i | ||
−0.307592 | + | 0.951518i | ||||||||
−15.8259 | − | 36.6886i | −0.581772 | − | 1.34870i | |||||
21.1600 | − | 15.5281i | 0.777332 | − | 0.570437i | |||||
−74.8566 | − | 17.7413i | −2.74807 | − | 0.651305i | |||||
6.73922 | + | 22.5106i | 0.247238 | + | 0.825832i | 0.988052 | + | 0.154122i | ||
−0.740814 | + | 0.671710i | ||||||||
26.1721 | + | 25.0345i | 0.959515 | + | 0.917808i | |||||
−3.41322 | − | 0.398948i | −0.125051 | − | 0.0146163i | |||||
13.6520 | − | 77.4244i | 0.499836 | − | 2.83471i | |||||
37.8313 | − | 24.1434i | 1.38418 | − | 0.883360i | |||||
−10.4129 | − | 59.0546i | −0.380734 | − | 2.15925i | |||||
0.844797 | + | 14.5046i | 0.0308682 | + | 0.529987i | |||||
10.9221 | + | 47.5385i | 0.398820 | + | 1.73586i | |||||
13.9011 | − | 32.2264i | 0.507259 | − | 1.17596i | −0.451637 | − | 0.892202i | ||
0.958896 | − | 0.283757i | ||||||||
−27.9314 | + | 14.0277i | −1.01855 | + | 0.511537i | |||||
36.9947 | + | 6.78578i | 1.34816 | + | 0.247288i | |||||
−11.4024 | + | 2.70242i | −0.415251 | + | 0.0984163i | |||||
15.0453 | + | 26.0592i | 0.547554 | + | 0.948391i | |||||
1.44472 | − | 70.0259i | 0.0525439 | − | 2.54682i | |||||
−23.1445 | + | 40.0875i | −0.841202 | + | 1.45701i | 0.0476764 | + | 0.998863i | ||
−0.888879 | + | 0.458142i | ||||||||
−13.5361 | + | 45.2139i | −0.491655 | + | 1.64224i | |||||
0.170606 | − | 24.8110i | 0.00619259 | − | 0.900583i | |||||
−46.3926 | − | 30.5129i | −1.68284 | − | 1.10682i | |||||
4.23035 | + | 5.68235i | 0.153350 | + | 0.205985i | 0.872159 | − | 0.489223i | ||
−0.718809 | + | 0.695208i | ||||||||
20.1171 | − | 39.3790i | 0.728766 | − | 1.42655i | |||||
19.0241 | − | 12.5123i | 0.688717 | − | 0.452976i | |||||
−54.7961 | − | 19.9441i | −1.98245 | − | 0.721554i | |||||
12.2688 | + | 3.08656i | 0.443581 | + | 0.111595i | |||||
69.8968 | − | 25.4404i | 2.52547 | − | 0.919198i | |||||
−2.04519 | + | 2.74716i | −0.0738474 | + | 0.0991943i | |||||
24.8921 | + | 50.4257i | 0.898215 | + | 1.81958i | |||||
29.7305 | − | 31.5125i | 1.07211 | − | 1.13637i | 0.0819197 | − | 0.996639i | ||
0.990190 | − | 0.139731i | ||||||||
−36.4202 | + | 38.6031i | −1.31249 | + | 1.39116i | |||||
−5.91915 | + | 8.86624i | −0.213173 | + | 0.319310i | |||||
9.52931 | − | 12.8001i | 0.342967 | − | 0.460685i | |||||
33.8164 | − | 12.3082i | 1.21629 | − | 0.442694i | 0.347409 | − | 0.937714i | ||
0.868881 | + | 0.495020i | ||||||||
−0.427083 | + | 5.92726i | −0.0153512 | + | 0.213051i | |||||
−10.6833 | − | 3.88841i | −0.383756 | − | 0.139676i | |||||
58.3924 | − | 38.4053i | 2.09617 | − | 1.37867i | |||||
−20.1853 | − | 31.1548i | −0.724143 | − | 1.11767i | |||||
−8.68943 | − | 11.6719i | −0.311531 | − | 0.418459i | |||||
25.1406 | + | 16.5352i | 0.900755 | + | 0.592436i | |||||
19.1011 | − | 10.8536i | 0.683928 | − | 0.388620i | |||||
4.87314 | − | 16.2774i | 0.174375 | − | 0.582452i | |||||
−11.3026 | + | 19.5768i | −0.404182 | + | 0.700063i | |||||
2.40867 | + | 11.1865i | 0.0860789 | + | 0.399771i | |||||
−8.58220 | − | 14.8648i | −0.306507 | − | 0.530886i | |||||
8.84990 | − | 2.09747i | 0.315867 | − | 0.0748618i | |||||
−24.1017 | + | 28.3254i | −0.859679 | + | 1.01034i | |||||
18.7666 | − | 9.42494i | 0.668957 | − | 0.335963i | −0.0816980 | − | 0.996657i | ||
0.750655 | + | 0.660694i | ||||||||
9.23273 | − | 21.4039i | 0.328902 | − | 0.762481i | |||||
−32.3719 | + | 30.1233i | −1.15247 | + | 1.07242i | |||||
−0.957355 | − | 16.4371i | −0.0340611 | − | 0.584807i | |||||
−4.33738 | − | 24.5985i | −0.154219 | − | 0.874622i | |||||
−47.9834 | + | 62.6359i | −1.70502 | + | 2.22567i | |||||
−0.429848 | + | 2.43779i | −0.0152643 | + | 0.0865683i | |||||
14.5726 | + | 1.70330i | 0.517163 | + | 0.0604477i | |||||
−22.6192 | + | 6.60261i | −0.802219 | + | 0.234170i | |||||
20.5696 | + | 68.7072i | 0.729070 | + | 2.43526i | |||||
−41.0669 | − | 9.73304i | −1.45467 | − | 0.344762i | −0.574139 | − | 0.818758i | ||
−0.880527 | + | 0.473996i | ||||||||
−89.6752 | − | 39.4157i | −3.17447 | − | 1.39530i | |||||
−6.86535 | − | 15.9157i | −0.242879 | − | 0.563056i | |||||
5.49242 | + | 4.60868i | 0.194186 | + | 0.162942i | |||||
6.06735 | + | 10.8509i | 0.214379 | + | 0.383397i | |||||
−20.5087 | + | 17.2089i | −0.724188 | + | 0.607666i | |||||
−47.2998 | − | 23.7549i | −1.66917 | − | 0.838291i | |||||
34.9339 | + | 26.3826i | 1.23202 | + | 0.930442i | |||||
13.4872 | − | 1.57643i | 0.475363 | − | 0.0555619i | |||||
−1.16523 | + | 20.0063i | −0.0410436 | + | 0.704692i | |||||
9.88866 | − | 26.5984i | 0.348097 | − | 0.936307i | |||||
−17.1648 | − | 18.1936i | −0.603855 | − | 0.640048i | |||||
15.1427 | 0.532390 | 0.266195 | − | 0.963919i | ||||||
0.266195 | + | 0.963919i | ||||||||
−15.0450 | − | 27.7971i | −0.528627 | − | 0.976692i | |||||
30.4862 | 1.07051 | 0.535257 | − | 0.844689i | ||||||
0.535257 | + | 0.844689i | ||||||||
20.3703 | + | 21.5913i | 0.714858 | + | 0.757706i | |||||
−46.5760 | + | 7.88278i | −1.63349 | + | 0.276461i | |||||
−4.61698 | + | 79.2704i | −0.161825 | + | 2.77843i | |||||
−9.07386 | + | 1.06058i | −0.317844 | + | 0.0371506i | |||||
25.8177 | − | 10.9267i | 0.903799 | − | 0.382512i | |||||
5.04094 | + | 2.53165i | 0.176360 | + | 0.0885714i | |||||
−6.36311 | + | 5.33928i | −0.222481 | + | 0.186684i | |||||
15.8147 | − | 12.9037i | 0.552611 | − | 0.450892i | |||||
19.2947 | + | 16.1902i | 0.673800 | + | 0.565386i | |||||
−17.6031 | − | 40.8085i | −0.614352 | − | 1.42423i | −0.886844 | − | 0.462070i | ||
0.272492 | − | 0.962158i | ||||||||
−0.504599 | − | 4.59066i | −0.0175999 | − | 0.160118i | |||||
−23.0619 | − | 5.46577i | −0.803888 | − | 0.190525i | −0.191923 | − | 0.981410i | ||
−0.611965 | + | 0.790885i | ||||||||
22.2300 | + | 74.2535i | 0.774420 | + | 2.58674i | |||||
5.87754 | − | 24.0608i | 0.204630 | − | 0.837689i | |||||
12.6957 | + | 1.48392i | 0.441740 | + | 0.0516320i | |||||
0.904516 | − | 5.12977i | 0.0314531 | − | 0.178379i | −0.965034 | − | 0.262124i | ||
0.996487 | + | 0.0837448i | ||||||||
37.4173 | − | 8.32632i | 1.30034 | − | 0.289360i | |||||
1.35636 | + | 7.69231i | 0.0471084 | + | 0.267165i | 0.999260 | − | 0.0384608i | ||
−0.952152 | + | 0.305626i | ||||||||
−3.05477 | − | 52.4484i | −0.106033 | − | 1.82051i | |||||
−37.9239 | − | 11.6384i | −1.31557 | − | 0.403732i | |||||
−4.12143 | + | 9.55455i | −0.142885 | + | 0.331245i | |||||
8.50616 | − | 4.27195i | 0.294721 | − | 0.148014i | |||||
10.8003 | + | 30.3208i | 0.373985 | + | 1.04992i | |||||
5.34646 | − | 1.26713i | 0.185022 | − | 0.0438510i | |||||
71.1060 | + | 123.159i | 2.45925 | + | 4.25955i | |||||
19.5084 | + | 1.54057i | 0.674310 | + | 0.0532499i | |||||
3.56743 | − | 6.17897i | 0.123235 | − | 0.213449i | |||||
8.63105 | − | 28.8297i | 0.297977 | − | 0.995312i | −0.669597 | − | 0.742725i | ||
0.967574 | − | 0.252588i | ||||||||
−37.2477 | − | 21.8478i | −1.28517 | − | 0.753822i | |||||
20.1774 | + | 13.2709i | 0.695772 | + | 0.457616i | |||||
9.36628 | + | 12.5811i | 0.322783 | + | 0.433573i | |||||
−51.8713 | + | 2.66341i | −1.78654 | + | 0.0917328i | |||||
−68.1571 | + | 44.8277i | −2.34607 | + | 1.54303i | |||||
−11.1787 | − | 4.06870i | −0.384557 | − | 0.139967i | |||||
−17.6975 | + | 39.5239i | −0.608453 | + | 1.35886i | |||||
34.2925 | − | 12.4814i | 1.17830 | − | 0.428867i | |||||
−31.1810 | + | 41.8833i | −1.07076 | + | 1.43828i | |||||
26.8191 | + | 1.74715i | 0.920428 | + | 0.0599619i | |||||
−15.4856 | + | 16.4138i | −0.531151 | + | 0.562987i | |||||
13.9421 | − | 14.7778i | 0.477929 | − | 0.506575i | |||||
26.1949 | + | 1.70649i | 0.897424 | + | 0.0584632i | |||||
3.32810 | − | 4.47042i | 0.113952 | − | 0.153064i | −0.741488 | − | 0.670966i | ||
0.855440 | + | 0.517902i | ||||||||
8.68141 | − | 3.15978i | 0.297072 | − | 0.108125i | |||||
−29.8451 | + | 3.07300i | −1.02068 | + | 0.105094i | |||||
23.7619 | + | 8.64862i | 0.812165 | + | 0.295604i | |||||
−14.6309 | + | 9.62290i | −0.499782 | + | 0.328712i | −0.774245 | − | 0.632886i | ||
0.274463 | + | 0.961598i | ||||||||
−43.6019 | + | 2.23881i | −1.48854 | + | 0.0764317i | |||||
−20.0517 | − | 26.9341i | −0.684154 | − | 0.918978i | 0.315396 | − | 0.948960i | ||
−0.999550 | + | 0.0299816i | ||||||||
3.94495 | + | 2.59463i | 0.134522 | + | 0.0884763i | |||||
20.1849 | + | 11.8395i | 0.687899 | + | 0.403490i | |||||
12.3956 | − | 41.4042i | 0.422196 | − | 1.41023i | |||||
−5.63576 | + | 9.76143i | −0.191844 | + | 0.332283i | −0.945861 | − | 0.324571i | ||
0.754018 | + | 0.656854i | ||||||||
−11.2288 | − | 5.12085i | −0.382010 | − | 0.174215i | |||||
11.4933 | + | 19.9069i | 0.390782 | + | 0.676855i | |||||
−33.1791 | + | 7.86359i | −1.12747 | + | 0.267216i | |||||
−4.66349 | − | 13.0922i | −0.158380 | − | 0.444636i | |||||
45.3647 | − | 22.7830i | 1.53978 | − | 0.773306i | |||||
−8.79634 | + | 20.3922i | −0.298395 | + | 0.691758i | |||||
12.8061 | + | 3.93003i | 0.434166 | + | 0.133240i | |||||
0.741772 | + | 12.7357i | 0.0251340 | + | 0.431534i | |||||
−6.88157 | − | 39.0273i | −0.233039 | − | 1.32163i | |||||
11.3271 | − | 36.0246i | 0.383366 | − | 1.21925i | |||||
9.30925 | − | 52.7954i | 0.314890 | − | 1.78583i | |||||
35.7636 | + | 4.18016i | 1.20903 | + | 0.141315i | |||||
19.4049 | − | 79.4377i | 0.655632 | − | 2.68395i | |||||
−10.5547 | − | 35.2552i | −0.356408 | − | 1.19049i | −0.928824 | − | 0.370522i | ||
0.572416 | − | 0.819963i | ||||||||
90.5273 | + | 21.4554i | 3.05515 | + | 0.724083i | |||||
−1.45702 | − | 13.2554i | −0.0491439 | − | 0.447093i | |||||
14.2676 | + | 33.0759i | 0.480959 | + | 1.11499i | |||||
−10.8033 | − | 9.06508i | −0.363974 | − | 0.305410i | 0.442398 | − | 0.896819i | ||
−0.806372 | + | 0.591408i | ||||||||
−22.2331 | − | 8.44021i | −0.748628 | − | 0.284197i | |||||
−26.7963 | + | 22.4847i | −0.901767 | + | 0.756672i | −0.970535 | − | 0.240961i | ||
0.0687683 | + | 0.997633i | ||||||||
24.1262 | + | 12.1166i | 0.811451 | + | 0.407526i | |||||
3.60546 | − | 1.52592i | 0.121196 | − | 0.0512934i | |||||
−11.0652 | + | 1.29334i | −0.371742 | + | 0.0434504i | |||||
−2.54514 | + | 43.6983i | −0.0854573 | + | 1.46725i | 0.634336 | + | 0.773057i | ||
−0.719794 | + | 0.694188i | ||||||||
−63.7025 | + | 10.7814i | −2.13772 | + | 0.361799i | |||||
−22.4010 | − | 23.7436i | −0.751304 | − | 0.796336i | |||||
14.5535 | 0.487833 | |||||||||
1.30749 | + | 42.6131i | 0.0438027 | + | 1.42759i | |||||
−63.9539 | −2.14134 | |||||||||
28.2092 | + | 29.9000i | 0.943986 | + | 1.00057i | |||||
−3.67666 | + | 9.88943i | −0.122966 | + | 0.330752i | |||||
−1.77557 | + | 30.4853i | −0.0593507 | + | 1.01901i | |||||
53.6240 | − | 6.26775i | 1.79145 | − | 0.209391i | |||||
8.91423 | + | 6.73216i | 0.297638 | + | 0.224780i | |||||
−8.17267 | − | 4.10447i | −0.272726 | − | 0.136968i | |||||
−6.35325 | + | 5.33101i | −0.211893 | + | 0.177799i | |||||
38.2619 | + | 0.526218i | 1.27540 | + | 0.0175406i | |||||
−22.1820 | − | 18.6129i | −0.738988 | − | 0.620085i | |||||
−19.8257 | − | 45.9610i | −0.660122 | − | 1.53034i | |||||
4.01601 | + | 1.76519i | 0.133644 | + | 0.0587418i | |||||
−42.3004 | − | 10.0254i | −1.40689 | − | 0.333439i | |||||
−2.56482 | − | 8.56710i | −0.0852576 | − | 0.284780i | |||||
88.6844 | − | 25.8873i | 2.94634 | − | 0.860046i | |||||
16.6087 | + | 1.94128i | 0.551482 | + | 0.0644590i | 0.387270 | − | 0.921966i | ||
0.164212 | + | 0.986425i | ||||||||
4.62359 | − | 26.2217i | 0.153439 | − | 0.870196i | |||||
−13.4008 | − | 1.75344i | −0.444475 | − | 0.0581581i | |||||
−4.14918 | − | 23.5311i | −0.137544 | − | 0.780050i | |||||
1.11002 | + | 19.0583i | 0.0367765 | + | 0.631429i | 0.965459 | + | 0.260554i | ||
−0.928683 | + | 0.370875i | ||||||||
−48.6728 | + | 45.2919i | −1.61172 | + | 1.49976i | |||||
−28.0678 | + | 65.0685i | −0.928908 | + | 2.15345i | |||||
40.9612 | − | 20.5715i | 1.35488 | − | 0.680444i | |||||
1.83376 | − | 2.15512i | 0.0606222 | − | 0.0712460i | |||||
38.3042 | − | 9.07825i | 1.26561 | − | 0.299954i | |||||
13.7274 | + | 23.7765i | 0.453319 | + | 0.785171i | |||||
18.1446 | − | 34.3436i | 0.598860 | − | 1.13351i | |||||
−2.23912 | + | 3.87828i | −0.0738619 | + | 0.127933i | −0.900591 | − | 0.434668i | ||
0.826729 | + | 0.562600i | ||||||||
6.77809 | − | 22.6404i | 0.223467 | − | 0.746432i | |||||
−19.8121 | + | 11.2576i | −0.652831 | + | 0.370951i | |||||
−25.1467 | − | 16.5393i | −0.828164 | − | 0.544692i | |||||
4.56816 | + | 6.13610i | 0.150363 | + | 0.201972i | |||||
60.1360 | + | 92.8163i | 1.97833 | + | 3.05343i | |||||
16.9446 | − | 11.1447i | 0.557136 | − | 0.366434i | |||||
6.45541 | + | 2.34958i | 0.212138 | + | 0.0772119i | |||||
34.6708 | + | 23.4927i | 1.13874 | + | 0.771601i | |||||
4.91493 | − | 1.78889i | 0.161340 | − | 0.0587231i | |||||
−24.3387 | + | 32.6925i | −0.798526 | + | 1.07261i | 0.197210 | + | 0.980361i | ||
−0.995736 | + | 0.0922458i | ||||||||
12.7198 | − | 19.0528i | 0.417098 | − | 0.624767i | |||||
−15.4912 | + | 16.4197i | −0.507704 | + | 0.538135i | |||||
61.0240 | − | 64.6817i | 1.99891 | − | 2.11872i | |||||
4.20177 | + | 8.51184i | 0.137560 | + | 0.278665i | |||||
−46.8985 | + | 62.9956i | −1.53456 | + | 2.06128i | |||||
−18.7715 | + | 6.83227i | −0.613894 | + | 0.223439i | |||||
−9.71939 | − | 34.1683i | −0.317688 | − | 1.11683i | |||||
−25.7954 | − | 9.38877i | −0.842700 | − | 0.306718i | −0.115640 | − | 0.993291i | ||
−0.727060 | + | 0.686574i | ||||||||
39.7796 | − | 26.1634i | 1.29885 | − | 0.854266i | |||||
19.0533 | − | 37.2965i | 0.621780 | − | 1.21713i | |||||
20.5472 | + | 27.5997i | 0.670176 | + | 0.900203i | |||||
2.11164 | + | 1.38885i | 0.0688375 | + | 0.0452751i | 0.583461 | − | 0.812141i | ||
−0.514624 | + | 0.857416i | ||||||||
0.192007 | − | 27.9234i | 0.00625592 | − | 0.909794i | |||||
−3.67311 | + | 12.2690i | −0.119613 | + | 0.399535i | |||||
4.33786 | − | 7.51340i | 0.141185 | − | 0.244540i | |||||
−23.0567 | + | 3.57683i | −0.750036 | + | 0.116354i | |||||
−4.69172 | − | 8.12630i | −0.152541 | − | 0.264209i | |||||
−12.4238 | + | 2.94449i | −0.403718 | + | 0.0956829i | −0.427458 | − | 0.904035i | ||
0.0237399 | + | 0.999718i | ||||||||
−33.7478 | − | 6.19022i | −1.09608 | − | 0.201049i | |||||
21.2954 | − | 10.6950i | 0.691279 | − | 0.347173i | |||||
21.1967 | − | 49.1394i | 0.687711 | − | 1.59429i | |||||
−4.01238 | − | 17.4638i | −0.130110 | − | 0.566303i | |||||
−3.08554 | − | 52.9766i | −0.100003 | − | 1.71698i | |||||
1.62376 | + | 9.20879i | 0.0525987 | + | 0.298302i | 0.999747 | − | 0.0224940i | ||
−0.947148 | + | 0.320796i | ||||||||
3.21288 | + | 72.2732i | 0.104021 | + | 2.33993i | |||||
−3.37322 | + | 19.1305i | −0.109155 | + | 0.619048i | |||||
68.8265 | + | 8.04467i | 2.22601 | + | 0.260183i | |||||
−13.0568 | − | 12.4893i | −0.422068 | − | 0.403722i | |||||
1.99484 | + | 6.66324i | 0.0644504 | + | 0.215279i | |||||
−3.31732 | − | 0.786220i | −0.107122 | − | 0.0253884i | |||||
9.58981 | − | 7.03738i | 0.309510 | − | 0.227131i | |||||
−6.66071 | − | 15.4413i | −0.214862 | − | 0.498105i | |||||
−27.3859 | − | 22.9795i | −0.882958 | − | 0.740890i | |||||
12.9022 | − | 4.49606i | 0.415767 | − | 0.144884i | |||||
5.34797 | − | 4.48748i | 0.172247 | − | 0.144532i | |||||
−4.75053 | − | 2.38580i | −0.152925 | − | 0.0768018i | |||||
5.12465 | − | 41.3749i | 0.164883 | − | 1.33121i | |||||
2.13167 | − | 0.249157i | 0.0685500 | − | 0.00801235i | −0.0817488 | − | 0.996653i | ||
0.150299 | + | 0.988641i | ||||||||
3.69299 | − | 63.4062i | 0.118697 | − | 2.03795i | |||||
−23.5050 | − | 28.4066i | −0.755089 | − | 0.912550i | |||||
−30.3371 | − | 32.1555i | −0.974066 | − | 1.03245i | |||||
−18.8603 | −0.605255 | −0.302627 | − | 0.953109i | ||||||
−0.302627 | + | 0.953109i | ||||||||
−63.7108 | + | 16.7104i | −2.04352 | + | 0.535987i | |||||
23.7603 | 0.761719 | |||||||||
−54.2748 | − | 57.5279i | −1.73908 | − | 1.84331i | |||||
7.10896 | + | 8.59142i | 0.227669 | + | 0.275146i | |||||
0.364601 | − | 6.25996i | 0.0116706 | − | 0.200376i | |||||
−59.7085 | + | 6.97892i | −1.91024 | + | 0.223276i | −0.986975 | − | 0.160876i | ||
−0.923270 | + | 0.384151i | ||||||||
−3.44773 | + | 27.8359i | −0.110246 | + | 0.890095i | |||||
−17.5422 | − | 8.81001i | −0.560650 | − | 0.281569i | |||||
−14.4748 | + | 12.1458i | −0.462380 | + | 0.387983i | |||||
−16.2123 | − | 13.9881i | −0.517618 | − | 0.446606i | |||||
67.2670 | + | 56.4437i | 2.14657 | + | 1.80119i | |||||
12.7239 | + | 29.4973i | 0.405829 | + | 0.940817i | 0.991481 | + | 0.130254i | ||
−0.585652 | + | 0.810563i | ||||||||
32.8349 | − | 24.0955i | 1.04674 | − | 0.768138i | |||||
−7.55598 | − | 1.79080i | −0.240754 | − | 0.0570597i | |||||
4.72125 | + | 15.7701i | 0.150355 | + | 0.502221i | |||||
23.1011 | + | 22.0970i | 0.735317 | + | 0.703355i | |||||
−63.5941 | − | 7.43309i | −2.02320 | − | 0.236478i | |||||
−0.416905 | + | 2.36439i | −0.0132568 | + | 0.0751831i | |||||
44.2875 | + | 23.0100i | 1.40755 | + | 0.731307i | |||||
−2.05455 | − | 11.6519i | −0.0652648 | − | 0.370135i | −0.999895 | − | 0.0145131i | ||
0.934630 | − | 0.355622i | ||||||||
−0.520093 | − | 8.92965i | −0.0165130 | − | 0.283517i | |||||
11.9315 | + | 51.9318i | 0.378636 | + | 1.64801i | |||||
11.3082 | − | 26.2154i | 0.358675 | − | 0.831503i | |||||
21.3507 | − | 10.7227i | 0.676861 | − | 0.339933i | |||||
−107.684 | − | 19.7520i | −3.41211 | − | 0.625867i | |||||
−41.3358 | + | 9.79677i | −1.30912 | + | 0.310267i | −0.825198 | − | 0.564844i | ||
−0.483922 | + | 0.875111i | ||||||||
−9.96735 | − | 17.2640i | −0.315511 | − | 0.546481i | |||||
−22.9862 | + | 26.2737i | −0.727252 | + | 0.831263i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 81.2.g.a.22.8 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.199.1 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.352.1 | 144 | |||
9.4 | even | 3 | 729.2.g.c.595.1 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.595.8 | 144 | |||
9.7 | even | 3 | 729.2.g.d.352.8 | 144 | |||
81.11 | odd | 54 | 243.2.g.a.127.1 | 144 | |||
81.16 | even | 27 | 729.2.g.d.379.8 | 144 | |||
81.31 | even | 27 | 6561.2.a.c.1.6 | 72 | |||
81.38 | odd | 54 | 729.2.g.b.136.8 | 144 | |||
81.43 | even | 27 | 729.2.g.c.136.1 | 144 | |||
81.50 | odd | 54 | 6561.2.a.d.1.67 | 72 | |||
81.65 | odd | 54 | 729.2.g.a.379.1 | 144 | |||
81.70 | even | 27 | inner | 81.2.g.a.70.8 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.22.8 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.70.8 | yes | 144 | 81.70 | even | 27 | inner | |
243.2.g.a.127.1 | 144 | 81.11 | odd | 54 | |||
243.2.g.a.199.1 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.352.1 | 144 | 9.2 | odd | 6 | |||
729.2.g.a.379.1 | 144 | 81.65 | odd | 54 | |||
729.2.g.b.136.8 | 144 | 81.38 | odd | 54 | |||
729.2.g.b.595.8 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.136.1 | 144 | 81.43 | even | 27 | |||
729.2.g.c.595.1 | 144 | 9.4 | even | 3 | |||
729.2.g.d.352.8 | 144 | 9.7 | even | 3 | |||
729.2.g.d.379.8 | 144 | 81.16 | even | 27 | |||
6561.2.a.c.1.6 | 72 | 81.31 | even | 27 | |||
6561.2.a.d.1.67 | 72 | 81.50 | odd | 54 |