Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [627,2,Mod(58,627)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(627, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("627.58");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 627.j (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 | 58.3 | ||
Character | 627.58 | ||
Dual form | 627.2.j.a.400.3 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.271454 | − | 0.197223i | 0.191947 | − | 0.139458i | −0.487661 | − | 0.873033i | ||
0.679608 | + | 0.733575i | ||||||||
0.309017 | + | 0.951057i | 0.178411 | + | 0.549093i | |||||
−0.583244 | + | 1.79504i | −0.291622 | + | 0.897519i | |||||
−2.01616 | − | 1.46483i | −0.901655 | − | 0.655091i | 0.0372355 | − | 0.999307i | ||
−0.938891 | + | 0.344216i | ||||||||
0.271454 | + | 0.197223i | 0.110821 | + | 0.0805160i | |||||
−0.281064 | + | 0.865027i | −0.106232 | + | 0.326949i | −0.990018 | − | 0.140943i | ||
0.883785 | + | 0.467892i | ||||||||
0.403072 | + | 1.24053i | 0.142507 | + | 0.438593i | |||||
−0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | |||||
−0.836193 | −0.264428 | |||||||||
−1.01652 | + | 3.15701i | −0.306493 | + | 0.951873i | |||||
−1.88742 | −0.544850 | |||||||||
2.01119 | − | 1.46121i | 0.557804 | − | 0.405268i | −0.272851 | − | 0.962056i | ||
0.830654 | + | 0.556788i | ||||||||
0.0943071 | + | 0.290248i | 0.0252046 | + | 0.0775719i | |||||
0.770105 | − | 2.37014i | 0.198840 | − | 0.611968i | |||||
−2.69983 | − | 1.96154i | −0.674957 | − | 0.490385i | |||||
−6.32308 | − | 4.59398i | −1.53357 | − | 1.11420i | −0.954211 | − | 0.299133i | ||
−0.579360 | − | 0.815072i | ||||||||
−0.103686 | + | 0.319114i | −0.0244391 | + | 0.0752158i | |||||
0.309017 | + | 0.951057i | 0.0708934 | + | 0.218187i | |||||
3.80534 | − | 2.76474i | 0.850899 | − | 0.618214i | |||||
−0.909543 | −0.198479 | |||||||||
0.346695 | + | 1.05746i | 0.0739156 | + | 0.225452i | |||||
−7.23909 | −1.50946 | −0.754728 | − | 0.656038i | ||||||
−0.754728 | + | 0.656038i | ||||||||
−1.05526 | + | 0.766688i | −0.215403 | + | 0.156500i | |||||
0.374105 | + | 1.15138i | 0.0748209 | + | 0.230275i | |||||
0.257761 | − | 0.793306i | 0.0505510 | − | 0.155580i | |||||
−0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | |||||
−1.38883 | − | 1.00904i | −0.262464 | − | 0.190691i | |||||
−2.19995 | + | 6.77075i | −0.408521 | + | 1.25730i | 0.509399 | + | 0.860531i | ||
−0.917919 | + | 0.396767i | ||||||||
−0.258398 | − | 0.795267i | −0.0471768 | − | 0.145195i | |||||
4.66974 | − | 3.39276i | 0.838710 | − | 0.609358i | −0.0833004 | − | 0.996524i | ||
0.922010 | + | 0.387166i | ||||||||
−3.72848 | −0.659107 | |||||||||
−3.31661 | + | 0.00879787i | −0.577348 | + | 0.00153151i | |||||
−2.62247 | −0.449749 | |||||||||
1.83379 | − | 1.33232i | 0.309966 | − | 0.225204i | |||||
−0.583244 | − | 1.79504i | −0.0972073 | − | 0.299173i | |||||
−3.12139 | + | 9.60665i | −0.513153 | + | 1.57932i | 0.273464 | + | 0.961882i | ||
−0.786617 | + | 0.617441i | ||||||||
0.271454 | + | 0.197223i | 0.0440357 | + | 0.0319938i | |||||
2.01119 | + | 1.46121i | 0.322048 | + | 0.233982i | |||||
1.00450 | − | 3.09153i | 0.158825 | − | 0.488814i | |||||
1.33433 | + | 4.10663i | 0.208387 | + | 0.641349i | 0.999557 | + | 0.0297530i | ||
−0.791170 | + | 0.611596i | ||||||||
−0.246899 | + | 0.179383i | −0.0380974 | + | 0.0276794i | |||||
−1.26242 | −0.192517 | −0.0962583 | − | 0.995356i | ||||||
−0.0962583 | + | 0.995356i | ||||||||
−5.07407 | − | 3.66600i | −0.764944 | − | 0.552670i | |||||
2.49211 | 0.371502 | |||||||||
−1.96508 | + | 1.42772i | −0.289736 | + | 0.210505i | |||||
−3.52150 | − | 10.8381i | −0.513664 | − | 1.58089i | −0.785700 | − | 0.618607i | ||
0.272037 | − | 0.962287i | ||||||||
1.03124 | − | 3.17384i | 0.148847 | − | 0.458104i | |||||
4.99384 | + | 3.62824i | 0.713406 | + | 0.518320i | |||||
0.328630 | + | 0.238764i | 0.0464753 | + | 0.0337663i | |||||
2.41520 | − | 7.43322i | 0.338196 | − | 1.04086i | |||||
1.44992 | + | 4.46241i | 0.201068 | + | 0.618824i | |||||
−3.84930 | + | 2.79668i | −0.528743 | + | 0.384154i | −0.819887 | − | 0.572525i | ||
0.291145 | + | 0.956679i | ||||||||
−0.335536 | −0.0456607 | |||||||||
6.67394 | − | 4.87600i | 0.899914 | − | 0.657480i | |||||
−1.18638 | −0.158536 | |||||||||
−0.809017 | + | 0.587785i | −0.107157 | + | 0.0778541i | |||||
0.738163 | + | 2.27183i | 0.0969255 | + | 0.298306i | |||||
0.796776 | − | 2.45222i | 0.103731 | − | 0.319252i | −0.885699 | − | 0.464259i | ||
0.989431 | + | 0.145007i | ||||||||
3.80534 | + | 2.76474i | 0.491267 | + | 0.356926i | |||||
−7.30073 | − | 5.30429i | −0.934763 | − | 0.679145i | 0.0123914 | − | 0.999923i | ||
−0.947154 | + | 0.320778i | ||||||||
0.598489 | − | 1.84196i | 0.0760082 | − | 0.233929i | |||||
−0.281064 | − | 0.865027i | −0.0354108 | − | 0.108983i | |||||
4.38754 | − | 3.18774i | 0.548443 | − | 0.398467i | |||||
−6.19531 | −0.768434 | |||||||||
−0.898574 | + | 0.656501i | −0.110607 | + | 0.0808097i | |||||
2.84348 | 0.347386 | 0.173693 | − | 0.984800i | ||||||
0.173693 | + | 0.984800i | ||||||||
11.9343 | − | 8.67076i | 1.44724 | − | 1.05148i | |||||
−2.23700 | − | 6.88479i | −0.269303 | − | 0.828831i | |||||
0.235024 | − | 0.723330i | 0.0280907 | − | 0.0864544i | |||||
10.9767 | + | 7.97503i | 1.30269 | + | 0.946462i | 0.999978 | − | 0.00661910i | ||
0.302715 | + | 0.953081i | ||||||||
−1.05526 | − | 0.766688i | −0.124363 | − | 0.0903550i | |||||
−2.83023 | + | 8.71055i | −0.331253 | + | 1.01949i | 0.637285 | + | 0.770628i | ||
−0.968538 | + | 0.248864i | ||||||||
1.04734 | + | 3.22338i | 0.121751 | + | 0.374710i | |||||
−0.979419 | + | 0.711589i | −0.113094 | + | 0.0821673i | |||||
−1.88742 | −0.216501 | |||||||||
−2.44519 | − | 1.76664i | −0.278655 | − | 0.201327i | |||||
0.834131 | 0.0944467 | |||||||||
−6.73616 | + | 4.89411i | −0.757877 | + | 0.550630i | −0.898259 | − | 0.439467i | ||
0.140381 | + | 0.990098i | ||||||||
2.56997 | + | 7.90956i | 0.287332 | + | 0.884316i | |||||
0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | |||||
1.17213 | + | 0.851604i | 0.129440 | + | 0.0940439i | |||||
10.8732 | + | 7.89986i | 1.19349 | + | 0.867123i | 0.993629 | − | 0.112701i | ||
0.199863 | + | 0.979824i | ||||||||
0.530485 | − | 1.63266i | 0.0578807 | − | 0.178138i | |||||
6.01895 | + | 18.5244i | 0.652847 | + | 2.00926i | |||||
−0.342688 | + | 0.248977i | −0.0369530 | + | 0.0268479i | |||||
−7.11919 | −0.763258 | |||||||||
−4.32608 | + | 0.0114757i | −0.461162 | + | 0.00122331i | |||||
8.67792 | 0.919858 | 0.459929 | − | 0.887956i | ||||||
0.459929 | + | 0.887956i | ||||||||
0.676495 | − | 0.491502i | 0.0713088 | − | 0.0518089i | |||||
0.698716 | + | 2.15043i | 0.0732454 | + | 0.225426i | |||||
4.22215 | − | 12.9945i | 0.440190 | − | 1.35477i | |||||
4.66974 | + | 3.39276i | 0.484229 | + | 0.351813i | |||||
−3.09344 | − | 2.24752i | −0.319064 | − | 0.231814i | |||||
0.770105 | − | 2.37014i | 0.0790111 | − | 0.243171i | |||||
−1.15216 | − | 3.54599i | −0.117592 | − | 0.361911i | |||||
−10.4341 | + | 7.58082i | −1.05942 | + | 0.769716i | −0.973982 | − | 0.226627i | ||
−0.0854414 | + | 0.996343i | ||||||||
2.07117 | 0.209220 | |||||||||
−1.03326 | − | 3.15157i | −0.103846 | − | 0.316744i | |||||
−2.28496 | −0.228496 | |||||||||
5.99526 | − | 4.35581i | 0.596550 | − | 0.433419i | −0.248102 | − | 0.968734i | ||
0.844653 | + | 0.535315i | ||||||||
−0.810386 | − | 2.49411i | −0.0802402 | − | 0.246954i | |||||
−1.25217 | + | 3.85378i | −0.123380 | + | 0.379724i | −0.993602 | − | 0.112935i | ||
0.870223 | + | 0.492659i | ||||||||
2.62333 | + | 1.90596i | 0.257239 | + | 0.186895i | |||||
1.83379 | + | 1.33232i | 0.178959 | + | 0.130021i | |||||
−0.493340 | + | 1.51834i | −0.0479174 | + | 0.147475i | |||||
3.68781 | + | 11.3499i | 0.356514 | + | 1.09724i | 0.955126 | + | 0.296198i | ||
−0.598612 | + | 0.801039i | ||||||||
1.52695 | − | 1.10940i | 0.146931 | − | 0.106752i | |||||
15.3614 | 1.47135 | 0.735676 | − | 0.677334i | ||||||
0.735676 | + | 0.677334i | ||||||||
0.850009 | − | 2.63987i | 0.0810452 | − | 0.251701i | |||||
−10.1010 | −0.958747 | |||||||||
2.45561 | − | 1.78410i | 0.232033 | − | 0.168582i | |||||
0.0328895 | + | 0.101224i | 0.00309399 | + | 0.00952231i | 0.952592 | − | 0.304252i | ||
−0.949498 | + | 0.313774i | ||||||||
−0.103686 | + | 0.319114i | −0.00971111 | + | 0.0298877i | |||||
14.5952 | + | 10.6040i | 1.36101 | + | 0.988830i | |||||
−10.8707 | − | 7.89800i | −1.00932 | − | 0.733311i | |||||
−0.768206 | + | 2.36429i | −0.0710207 | + | 0.218579i | |||||
−0.267347 | − | 0.822809i | −0.0246113 | − | 0.0757457i | |||||
5.75111 | − | 4.17843i | 0.527203 | − | 0.383036i | |||||
3.25063 | 0.296741 | |||||||||
−8.93336 | − | 6.41833i | −0.812124 | − | 0.583485i | |||||
−3.02794 | −0.274137 | |||||||||
−3.49331 | + | 2.53804i | −0.314981 | + | 0.228847i | |||||
3.36655 | + | 10.3612i | 0.302325 | + | 0.930460i | |||||
−2.91822 | + | 8.98134i | −0.261013 | + | 0.803316i | |||||
−0.246899 | − | 0.179383i | −0.0219955 | − | 0.0159807i | |||||
−3.19548 | − | 2.32165i | −0.283553 | − | 0.206013i | 0.436913 | − | 0.899504i | ||
−0.720466 | + | 0.693491i | ||||||||
2.86665 | − | 8.82263i | 0.253378 | − | 0.779818i | |||||
−0.390108 | − | 1.20063i | −0.0343471 | − | 0.105709i | |||||
−1.68174 | + | 1.22186i | −0.147499 | + | 0.107164i | |||||
−12.0449 | −1.05237 | −0.526185 | − | 0.850370i | ||||||
−0.526185 | + | 0.850370i | ||||||||
1.91860 | − | 5.95858i | 0.166993 | − | 0.518628i | |||||
−0.909543 | −0.0788674 | |||||||||
0.771874 | − | 0.560799i | 0.0666797 | − | 0.0484457i | |||||
0.770105 | + | 2.37014i | 0.0662801 | + | 0.203989i | |||||
3.15031 | − | 9.69565i | 0.270137 | − | 0.831395i | |||||
3.74838 | + | 2.72336i | 0.320246 | + | 0.232672i | 0.736280 | − | 0.676677i | ||
−0.416035 | + | 0.909349i | ||||||||
−1.96508 | − | 1.42772i | −0.167279 | − | 0.121535i | |||||
0.340778 | − | 1.04881i | 0.0289044 | − | 0.0889587i | −0.935564 | − | 0.353158i | ||
0.964468 | + | 0.264199i | ||||||||
1.32203 | + | 4.06879i | 0.111732 | + | 0.343875i | |||||
9.21941 | − | 6.69829i | 0.776414 | − | 0.564098i | |||||
4.55253 | 0.382040 | |||||||||
2.56864 | + | 7.83469i | 0.214801 | + | 0.655170i | |||||
3.33717 | 0.278097 | |||||||||
14.3534 | − | 10.4284i | 1.19199 | − | 0.866030i | |||||
0.949643 | + | 2.92270i | 0.0785930 | + | 0.241885i | |||||
−1.90748 | + | 5.87062i | −0.157326 | + | 0.484200i | |||||
−15.4238 | − | 11.2060i | −1.26783 | − | 0.921130i | |||||
−12.9895 | − | 9.43744i | −1.06414 | − | 0.773145i | −0.0892925 | − | 0.996005i | ||
−0.974850 | + | 0.222860i | ||||||||
−0.125526 | + | 0.386328i | −0.0102491 | + | 0.0315435i | |||||
−1.59843 | − | 4.91947i | −0.130079 | − | 0.400341i | 0.864714 | − | 0.502265i | ||
−0.994792 | + | 0.101925i | ||||||||
−1.05526 | + | 0.766688i | −0.0855925 | + | 0.0621866i | |||||
7.81575 | 0.631866 | |||||||||
−1.01218 | + | 0.00268497i | −0.0815636 | + | 0.000216361i | |||||
−14.3848 | −1.15541 | |||||||||
−3.79595 | + | 2.75792i | −0.303919 | + | 0.220810i | |||||
4.67828 | + | 14.3983i | 0.373367 | + | 1.14911i | 0.944574 | + | 0.328300i | ||
−0.571206 | + | 0.820806i | ||||||||
−0.863329 | + | 2.65705i | −0.0686827 | + | 0.211384i | |||||
−3.84930 | − | 2.79668i | −0.305270 | − | 0.221791i | |||||
7.51721 | + | 5.46157i | 0.594288 | + | 0.431775i | |||||
2.03465 | − | 6.26201i | 0.160353 | − | 0.493515i | |||||
−0.103686 | − | 0.319114i | −0.00814636 | − | 0.0250719i | |||||
3.11617 | − | 2.26403i | 0.244077 | − | 0.177332i | −0.459021 | − | 0.888426i | ||
0.703098 | + | 0.711093i | ||||||||
−8.14981 | −0.636393 | |||||||||
6.69972 | + | 4.84053i | 0.521572 | + | 0.376835i | |||||
4.50962 | 0.350014 | |||||||||
3.36122 | − | 2.44207i | 0.260099 | − | 0.188973i | −0.450092 | − | 0.892982i | ||
0.710191 | + | 0.704009i | ||||||||
−0.366611 | − | 1.12831i | −0.0282847 | − | 0.0870512i | |||||
−2.10749 | + | 6.48618i | −0.162114 | + | 0.498937i | |||||
5.28732 | + | 3.84146i | 0.405519 | + | 0.294626i | |||||
−0.809017 | − | 0.587785i | −0.0618671 | − | 0.0449491i | |||||
0.736296 | − | 2.26609i | 0.0561420 | − | 0.172787i | |||||
−7.35968 | − | 22.6508i | −0.559546 | − | 1.72211i | −0.683625 | − | 0.729833i | ||
0.124080 | − | 0.992272i | ||||||||
−1.93253 | + | 1.40407i | −0.146505 | + | 0.106442i | |||||
−1.10112 | −0.0832367 | |||||||||
8.93702 | − | 6.52942i | 0.673653 | − | 0.492173i | |||||
2.57842 | 0.193806 | |||||||||
2.35566 | − | 1.71149i | 0.176564 | − | 0.128281i | |||||
1.06971 | + | 3.29223i | 0.0799538 | + | 0.246073i | 0.983041 | − | 0.183384i | ||
−0.903088 | + | 0.429457i | ||||||||
−1.45351 | + | 4.47344i | −0.108338 | + | 0.333431i | |||||
15.3514 | + | 11.1534i | 1.14106 | + | 0.829028i | 0.987266 | − | 0.159076i | ||
0.153792 | + | 0.988103i | ||||||||
0.613783 | + | 0.445940i | 0.0454966 | + | 0.0330552i | |||||
2.78863 | − | 8.58253i | 0.206142 | − | 0.634439i | |||||
−2.91787 | − | 8.98029i | −0.215108 | − | 0.662036i | |||||
20.3653 | − | 14.7963i | 1.49729 | − | 1.08784i | |||||
1.93675 | 0.142009 | |||||||||
20.9308 | − | 15.2921i | 1.53061 | − | 1.11827i | |||||
21.5086 | 1.56868 | |||||||||
0.735836 | − | 0.534616i | 0.0535242 | − | 0.0388876i | |||||
−0.258398 | − | 0.795267i | −0.0187462 | − | 0.0576947i | |||||
2.05731 | − | 6.33173i | 0.148861 | − | 0.458148i | −0.848626 | − | 0.528993i | ||
0.997487 | + | 0.0708452i | ||||||||
4.38754 | + | 3.18774i | 0.316644 | + | 0.230055i | |||||
5.29086 | + | 3.84404i | 0.380845 | + | 0.276700i | 0.761693 | − | 0.647938i | ||
−0.380849 | + | 0.924637i | ||||||||
−1.33727 | + | 4.11569i | −0.0960104 | + | 0.295490i | |||||
−1.91446 | − | 5.89209i | −0.137097 | − | 0.421941i | |||||
−9.42546 | + | 6.84800i | −0.673247 | + | 0.489143i | |||||
−19.7664 | −1.40829 | −0.704147 | − | 0.710054i | ||||||
−0.704147 | + | 0.710054i | ||||||||
−0.902044 | − | 0.651724i | −0.0641055 | − | 0.0463160i | |||||
−3.62149 | −0.256721 | −0.128360 | − | 0.991728i | ||||||
−0.128360 | + | 0.991728i | ||||||||
−1.27752 | + | 0.928174i | −0.0903344 | + | 0.0656318i | |||||
0.878682 | + | 2.70431i | 0.0619775 | + | 0.190747i | |||||
0.768372 | − | 2.36481i | 0.0540625 | − | 0.166387i | |||||
−5.23856 | − | 3.80603i | −0.367675 | − | 0.267131i | |||||
11.9343 | + | 8.67076i | 0.835566 | + | 0.607074i | |||||
3.32529 | − | 10.2342i | 0.232249 | − | 0.714787i | |||||
0.420147 | + | 1.29308i | 0.0292730 | + | 0.0900932i | |||||
5.85655 | − | 4.25503i | 0.407058 | − | 0.295745i | |||||
−8.29609 | −0.575230 | |||||||||
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0.760554 | 0.0524832 | |||||||||
7.41500 | − | 5.38731i | 0.510470 | − | 0.370878i | −0.302532 | − | 0.953139i | ||
0.813002 | + | 0.582261i | ||||||||
−2.77507 | − | 8.54080i | −0.190593 | − | 0.586584i | |||||
−4.19272 | + | 12.9039i | −0.287281 | + | 0.884159i | |||||
3.23954 | + | 2.35366i | 0.221450 | + | 0.160893i | |||||
2.54523 | + | 1.84922i | 0.173584 | + | 0.126116i | |||||
0.403072 | − | 1.24053i | 0.0274256 | − | 0.0844072i | |||||
1.62233 | + | 4.99303i | 0.110131 | + | 0.338949i | |||||
4.16991 | − | 3.02961i | 0.282422 | − | 0.205191i | |||||
−9.15881 | −0.618895 | |||||||||
4.86008 | + | 14.8239i | 0.327667 | + | 0.999426i | |||||
−19.4297 | −1.30698 | |||||||||
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0.186334 | − | 0.982486i | ||||||||
1.04794 | − | 3.22523i | 0.0700185 | − | 0.215495i | |||||
−0.979419 | − | 0.711589i | −0.0652946 | − | 0.0474393i | |||||
0.0288916 | + | 0.0209910i | 0.00192184 | + | 0.00139630i | |||||
−5.10864 | + | 15.7228i | −0.339072 | + | 1.04356i | 0.625609 | + | 0.780137i | ||
−0.964681 | + | 0.263421i | ||||||||
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−0.978827 | + | 0.204688i | ||||||||
6.05328 | 0.399142 | |||||||||
0.924571 | − | 2.87143i | 0.0608323 | − | 0.188926i | |||||
−9.28604 | −0.609659 | |||||||||
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0.341851 | + | 0.939754i | ||||||||
0.257761 | + | 0.793306i | 0.0168503 | + | 0.0518600i | |||||
−8.77598 | + | 27.0097i | −0.572482 | + | 1.76192i | |||||
3.93712 | + | 2.86049i | 0.256285 | + | 0.186202i | |||||
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0.737081 | − | 2.26850i | 0.0477779 | − | 0.147045i | |||||
3.57299 | + | 10.9965i | 0.231117 | + | 0.711306i | 0.997613 | + | 0.0690562i | ||
−0.766495 | + | 0.642250i | ||||||||
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−10.9212 | −0.703494 | −0.351747 | − | 0.936095i | ||||||
−0.351747 | + | 0.936095i | ||||||||
−3.69084 | + | 0.0195813i | −0.237256 | + | 0.00125873i | |||||
1.00000 | 0.0641500 | |||||||||
13.7795 | − | 10.0114i | 0.882143 | − | 0.640915i | |||||
−4.75365 | − | 14.6302i | −0.303700 | − | 0.934692i | |||||
−0.447714 | + | 1.37792i | −0.0285452 | + | 0.0878532i | |||||
2.01119 | + | 1.46121i | 0.127969 | + | 0.0929748i | |||||
6.09105 | + | 4.42541i | 0.386782 | + | 0.281014i | |||||
−4.15320 | + | 12.7822i | −0.263199 | + | 0.810042i | |||||
0.979166 | + | 3.01356i | 0.0619279 | + | 0.190594i | |||||
4.02364 | − | 2.92335i | 0.253970 | − | 0.184520i | −0.453514 | − | 0.891249i | ||
0.707484 | + | 0.706729i | ||||||||
1.71669 | 0.108141 | |||||||||
7.35870 | − | 22.8539i | 0.462638 | − | 1.43681i | |||||
−1.32531 | −0.0831573 | |||||||||
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2.38992 | + | 7.35542i | 0.149370 | + | 0.459714i | |||||
−6.72861 | + | 20.7085i | −0.419719 | + | 1.29176i | 0.488242 | + | 0.872708i | ||
−0.907961 | + | 0.419054i | ||||||||
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−7.43270 | − | 5.40017i | −0.461845 | − | 0.335550i | |||||
3.61337 | − | 11.1208i | 0.224092 | − | 0.689684i | |||||
−2.19995 | − | 6.77075i | −0.136174 | − | 0.419099i | |||||
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−0.492518 | + | 0.870303i | ||||||||
−1.34775 | − | 4.11080i | −0.0829481 | − | 0.253002i | |||||
11.8575 | 0.728399 | |||||||||
−0.246899 | + | 0.179383i | −0.0151384 | + | 0.0109987i | |||||
2.68162 | + | 8.25319i | 0.164113 | + | 0.505087i | |||||
−1.65844 | + | 5.10415i | −0.101305 | + | 0.311786i | |||||
22.9479 | + | 16.6726i | 1.39916 | + | 1.01655i | 0.994790 | + | 0.101949i | ||
0.404366 | + | 0.914597i | ||||||||
0.676495 | + | 0.491502i | 0.0411702 | + | 0.0299119i | |||||
6.86783 | − | 21.1370i | 0.417191 | − | 1.28398i | −0.493085 | − | 0.869981i | ||
0.910276 | − | 0.414001i | ||||||||
8.05993 | + | 24.8059i | 0.488705 | + | 1.50408i | |||||
−1.82926 | + | 1.32904i | −0.110712 | + | 0.0804370i | |||||
1.55462 | 0.0939182 | |||||||||
−4.01519 | + | 0.0106510i | −0.242125 | + | 0.000642277i | |||||
13.6632 | 0.822427 | |||||||||
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0.567731 | + | 0.823214i | ||||||||
−0.114343 | − | 0.351913i | −0.00685786 | − | 0.0211063i | |||||
−1.78368 | + | 5.48961i | −0.106786 | + | 0.328654i | |||||
2.39193 | + | 1.73784i | 0.142945 | + | 0.103856i | |||||
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−0.650704 | + | 0.759331i | ||||||||
1.18159 | − | 3.63656i | 0.0703627 | − | 0.216554i | |||||
−5.98851 | − | 18.4307i | −0.355980 | − | 1.09559i | −0.955439 | − | 0.295188i | ||
0.599459 | − | 0.800405i | ||||||||
−20.7176 | + | 15.0522i | −1.22936 | + | 0.893184i | |||||
2.49211 | 0.147620 | |||||||||
2.24245 | + | 1.62016i | 0.132599 | + | 0.0958024i | |||||
−3.92738 | −0.231826 | |||||||||
3.01640 | − | 2.19154i | 0.177743 | − | 0.129138i | |||||
13.6233 | + | 41.9283i | 0.801372 | + | 2.46637i | |||||
1.83958 | − | 5.66166i | 0.108024 | − | 0.332464i | |||||
−10.4341 | − | 7.58082i | −0.611658 | − | 0.444396i | |||||
−13.9851 | − | 10.1607i | −0.818414 | − | 0.594612i | |||||
4.45105 | − | 13.6989i | 0.260033 | − | 0.800300i | −0.732763 | − | 0.680484i | ||
0.992796 | − | 0.119816i | ||||||||
0.640028 | + | 1.96980i | 0.0373272 | + | 0.114881i | |||||
−5.19851 | + | 3.77694i | −0.302669 | + | 0.219902i | |||||
−13.1755 | −0.765808 | |||||||||
2.67803 | − | 1.95657i | 0.155395 | − | 0.113532i | |||||
−5.38734 | −0.312080 | |||||||||
−14.5592 | + | 10.5779i | −0.841979 | + | 0.611734i | |||||
−0.706091 | − | 2.17312i | −0.0407662 | − | 0.125465i | |||||
0.354820 | − | 1.09202i | 0.0204515 | − | 0.0629432i | |||||
−1.40413 | − | 1.02016i | −0.0807988 | − | 0.0587038i | |||||
5.99526 | + | 4.35581i | 0.344419 | + | 0.250235i | |||||
1.03124 | − | 3.17384i | 0.0591458 | − | 0.182032i | |||||
6.94959 | + | 21.3886i | 0.397932 | + | 1.22471i | |||||
2.12162 | − | 1.54145i | 0.121285 | − | 0.0881186i | |||||
0.0689145 | 0.00393316 | 0.00196658 | − | 0.999998i | ||||||
0.00196658 | + | 0.999998i | ||||||||
4.59733 | − | 3.35882i | 0.261957 | − | 0.191387i | |||||
−4.05210 | −0.230516 | |||||||||
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−2.54209 | − | 7.82376i | −0.144149 | − | 0.443645i | 0.852752 | − | 0.522317i | ||
−0.996901 | + | 0.0786719i | ||||||||
−1.00202 | + | 3.08391i | −0.0567284 | + | 0.174592i | |||||
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−0.394424 | − | 0.918929i | ||||||||
4.10961 | + | 2.98580i | 0.231919 | + | 0.168499i | |||||
−0.700444 | + | 2.15574i | −0.0394655 | + | 0.121462i | |||||
−4.85629 | − | 14.9461i | −0.273188 | − | 0.840785i | |||||
23.4277 | − | 17.0212i | 1.31583 | − | 0.956006i | 0.315856 | − | 0.948807i | ||
0.999974 | − | 0.00719913i | ||||||||
−1.59648 | −0.0895262 | |||||||||
−19.1390 | − | 13.8279i | −1.07158 | − | 0.774213i | |||||
−13.5155 | −0.755538 | |||||||||
−9.65481 | + | 7.01463i | −0.538879 | + | 0.391518i | |||||
−0.682698 | − | 2.10113i | −0.0380453 | − | 0.117091i | |||||
2.41520 | − | 7.43322i | 0.134385 | − | 0.413596i | |||||
1.52695 | + | 1.10940i | 0.0848306 | + | 0.0616331i | |||||
2.43480 | + | 1.76899i | 0.135059 | + | 0.0981258i | |||||
0.399378 | − | 1.22916i | 0.0221195 | − | 0.0680769i | |||||
4.74692 | + | 14.6095i | 0.262505 | + | 0.807909i | |||||
−4.55656 | + | 3.31054i | −0.251594 | + | 0.182794i | |||||
10.3650 | 0.571440 | |||||||||
2.77333 | − | 0.00735672i | 0.152667 | − | 0.000404974i | |||||
−2.46229 | −0.135340 | −0.0676698 | − | 0.997708i | ||||||
−0.0676698 | + | 0.997708i | ||||||||
−20.5223 | + | 14.9103i | −1.12631 | + | 0.818310i | |||||
−3.12139 | − | 9.60665i | −0.171051 | − | 0.526441i | |||||
0.430785 | − | 1.32582i | 0.0235715 | − | 0.0725456i | |||||
−5.73291 | − | 4.16520i | −0.313222 | − | 0.227569i | |||||
2.45561 | + | 1.78410i | 0.133964 | + | 0.0973308i | |||||
1.09642 | − | 3.37445i | 0.0597260 | − | 0.183818i | −0.916742 | − | 0.399480i | ||
0.976468 | + | 0.215662i | ||||||||
0.707137 | + | 2.17635i | 0.0384632 | + | 0.118378i | |||||
−0.0861059 | + | 0.0625596i | −0.00467663 | + | 0.00339777i | |||||
−36.7626 | −1.99373 | |||||||||
5.96408 | + | 18.1912i | 0.322973 | + | 0.985109i | |||||
−0.335536 | −0.0181437 | |||||||||
−9.69297 | + | 7.04235i | −0.523371 | + | 0.380251i | |||||
−0.508844 | − | 1.56606i | −0.0274350 | − | 0.0844363i | |||||
−5.57486 | + | 17.1577i | −0.300141 | + | 0.923738i | |||||
−6.46507 | − | 4.69715i | −0.347564 | − | 0.252520i | |||||
−22.4427 | − | 16.3056i | −1.20479 | − | 0.875330i | −0.210041 | − | 0.977692i | ||
−0.994747 | + | 0.102362i | ||||||||
4.15222 | − | 12.7792i | 0.222583 | − | 0.685039i | |||||
−9.62177 | − | 29.6128i | −0.515041 | − | 1.58513i | −0.783207 | − | 0.621761i | ||
0.268165 | − | 0.963373i | ||||||||
−0.298903 | + | 0.217166i | −0.0159770 | + | 0.0116080i | |||||
−2.48597 | −0.132691 | |||||||||
3.79008 | − | 11.7708i | 0.202012 | − | 0.627387i | |||||
0.921389 | 0.0490406 | 0.0245203 | − | 0.999699i | ||||||
0.0245203 | + | 0.999699i | ||||||||
0.699923 | − | 0.508524i | 0.0372005 | − | 0.0270277i | |||||
−10.4487 | − | 32.1579i | −0.554561 | − | 1.70676i | |||||
−5.06134 | + | 15.5772i | −0.268250 | + | 0.825590i | |||||
5.75111 | + | 4.17843i | 0.304381 | + | 0.221146i | |||||
0.939680 | + | 0.682718i | 0.0496636 | + | 0.0360827i | |||||
3.53828 | − | 10.8897i | 0.186743 | − | 0.574737i | −0.813231 | − | 0.581942i | ||
0.999974 | + | 0.00720437i | ||||||||
1.00450 | + | 3.09153i | 0.0529418 | + | 0.162938i | |||||
−0.809017 | + | 0.587785i | −0.0425798 | + | 0.0309361i | |||||
6.36691 | 0.334637 | |||||||||
3.34364 | − | 10.4795i | 0.175495 | − | 0.550032i | |||||
−4.26762 | −0.223684 | |||||||||
18.4656 | − | 13.4161i | 0.966536 | − | 0.702230i | |||||
−0.935686 | − | 2.87975i | −0.0489091 | − | 0.150527i | |||||
−6.29823 | + | 19.3839i | −0.328765 | + | 1.01183i | 0.640948 | + | 0.767584i | ||
−0.969712 | + | 0.244249i | ||||||||
19.5443 | + | 14.1998i | 1.01882 | + | 0.740214i | |||||
−3.49331 | − | 2.53804i | −0.181855 | − | 0.132125i | |||||
2.61009 | − | 8.03302i | 0.135692 | − | 0.417617i | |||||
−1.33730 | − | 4.11580i | −0.0694294 | − | 0.213682i | |||||
−8.81373 | + | 6.40355i | −0.456971 | + | 0.332009i | |||||
38.3906 | 1.98779 | 0.993894 | − | 0.110341i | ||||||
0.993894 | + | 0.110341i | ||||||||
2.66580 | − | 8.27914i | 0.137845 | − | 0.428104i | |||||
−9.44354 | −0.487662 | |||||||||
12.0255 | − | 8.73703i | 0.620168 | − | 0.450578i | |||||
5.46901 | + | 16.8319i | 0.281668 | + | 0.866885i | |||||
0.0943071 | − | 0.290248i | 0.00485064 | − | 0.0149287i | |||||
9.00630 | + | 6.54346i | 0.462623 | + | 0.336115i | 0.794559 | − | 0.607187i | ||
−0.331937 | + | 0.943302i | ||||||||
3.80534 | + | 2.76474i | 0.195210 | + | 0.141828i | |||||
1.22056 | − | 3.75651i | 0.0625314 | − | 0.192452i | |||||
−0.690300 | − | 2.12452i | −0.0353188 | − | 0.108700i | |||||
−18.0630 | + | 13.1236i | −0.922977 | + | 0.670582i | −0.944263 | − | 0.329191i | ||
0.0212860 | + | 0.999773i | ||||||||
9.27666 | 0.473398 | |||||||||
2.34207 | + | 7.14361i | 0.119363 | + | 0.364072i | |||||
2.19436 | 0.111690 | |||||||||
1.02132 | − | 0.742029i | 0.0519164 | − | 0.0377195i | |||||
−7.52225 | − | 23.1511i | −0.381884 | − | 1.17532i | |||||
2.06915 | − | 6.36819i | 0.104910 | − | 0.322880i | −0.884799 | − | 0.465972i | ||
0.989709 | + | 0.143092i | ||||||||
−1.68174 | − | 1.22186i | −0.0851584 | − | 0.0618712i | |||||
45.7733 | + | 33.2563i | 2.31486 | + | 1.68184i | |||||
−2.48805 | + | 7.65744i | −0.125666 | + | 0.386759i | |||||
−3.72208 | − | 11.4554i | −0.187754 | − | 0.577848i | |||||
−5.36566 | + | 3.89838i | −0.270318 | + | 0.196398i | |||||
20.7502 | 1.04406 | |||||||||
6.25983 | − | 0.0166052i | 0.314568 | − | 0.000834445i | |||||
−12.2071 | −0.612658 | −0.306329 | − | 0.951926i | ||||||
−0.306329 | + | 0.951926i | ||||||||
−0.983070 | + | 0.714242i | −0.0492769 | + | 0.0358017i | |||||
−0.281064 | − | 0.865027i | −0.0140708 | − | 0.0433055i | |||||
1.24845 | − | 3.84234i | 0.0624225 | − | 0.192117i | |||||
12.8248 | + | 9.31778i | 0.640441 | + | 0.465308i | 0.860002 | − | 0.510291i | ||
−0.219560 | + | 0.975599i | ||||||||
0.771874 | + | 0.560799i | 0.0384976 | + | 0.0279701i | |||||
4.43417 | − | 13.6470i | 0.220882 | − | 0.679804i | |||||
4.32215 | + | 13.3022i | 0.215035 | + | 0.661810i | |||||
−2.01616 | + | 1.46483i | −0.100184 | + | 0.0727879i | |||||
−2.17267 | −0.107828 | |||||||||
−27.1553 | − | 19.6196i | −1.34604 | − | 0.972508i | |||||
10.1946 | 0.504709 | |||||||||
−16.6896 | + | 12.1257i | −0.825248 | + | 0.599578i | −0.918211 | − | 0.396092i | ||
0.0929631 | + | 0.995670i | ||||||||
−1.11576 | − | 3.43394i | −0.0551032 | − | 0.169590i | |||||
−1.43175 | + | 4.40648i | −0.0706232 | + | 0.217356i | |||||
−6.18736 | − | 4.49538i | −0.304829 | − | 0.221471i | |||||
1.89729 | + | 1.37846i | 0.0933597 | + | 0.0678298i | |||||
0.750595 | − | 2.31009i | 0.0368897 | − | 0.113535i | |||||
−10.3503 | − | 31.8548i | −0.508074 | − | 1.56369i | |||||
−7.49867 | + | 5.44810i | −0.367652 | + | 0.267115i | |||||
1.10278 | 0.0540035 | |||||||||
−0.898574 | + | 0.656501i | −0.0439507 | + | 0.0321105i | |||||
11.2902 | 0.551561 | 0.275781 | − | 0.961221i | ||||||
0.275781 | + | 0.961221i | ||||||||
−3.46112 | + | 2.51465i | −0.168885 | + | 0.122702i | |||||
−7.47758 | − | 23.0136i | −0.364435 | − | 1.12161i | −0.950334 | − | 0.311231i | ||
0.585900 | − | 0.810384i | ||||||||
0.950331 | − | 2.92482i | 0.0462614 | − | 0.142378i | |||||
9.21941 | + | 6.69829i | 0.448263 | + | 0.325682i | |||||
−5.02091 | − | 3.64790i | −0.243837 | − | 0.177158i | |||||
2.92391 | − | 8.99887i | 0.141830 | − | 0.436509i | |||||
1.40681 | + | 4.32971i | 0.0681601 | + | 0.209775i | |||||
6.64033 | − | 4.82448i | 0.321348 | − | 0.233473i | |||||
−22.5244 | −1.08876 | |||||||||
−6.65748 | + | 4.86398i | −0.321426 | + | 0.234835i | |||||
1.05562 | 0.0509067 | |||||||||
7.73133 | − | 5.61714i | 0.372405 | − | 0.270568i | −0.385802 | − | 0.922581i | ||
0.758208 | + | 0.652013i | ||||||||
1.03124 | + | 3.17384i | 0.0496157 | + | 0.152701i | |||||
−5.30049 | + | 16.3132i | −0.254725 | + | 0.783963i | 0.739159 | + | 0.673532i | ||
−0.993884 | + | 0.110432i | ||||||||
1.42513 | + | 1.03542i | 0.0684084 | + | 0.0497016i | |||||
14.3534 | + | 10.4284i | 0.688195 | + | 0.500003i | |||||
−8.95942 | + | 27.5742i | −0.429078 | + | 1.32057i | |||||
−2.23700 | − | 6.88479i | −0.107010 | − | 0.329344i | |||||
−2.48620 | + | 1.80633i | −0.118795 | + | 0.0863097i | |||||
5.10608 | 0.243700 | 0.121850 | − | 0.992549i | ||||||
0.121850 | + | 0.992549i | ||||||||
8.73889 | + | 6.31383i | 0.416610 | + | 0.301000i | |||||
−6.17273 | −0.293940 | |||||||||
−5.27427 | + | 3.83198i | −0.250872 | + | 0.182269i | |||||
6.45197 | + | 19.8571i | 0.306542 | + | 0.943440i | 0.979097 | + | 0.203393i | ||
−0.672555 | + | 0.740047i | ||||||||
5.89136 | − | 18.1317i | 0.279592 | − | 0.860494i | |||||
−17.4961 | − | 12.7117i | −0.829394 | − | 0.602590i | |||||
−7.10869 | − | 5.16476i | −0.336606 | − | 0.244559i | |||||
4.96155 | − | 15.2701i | 0.234673 | − | 0.722251i | |||||
1.52430 | + | 4.69130i | 0.0720162 | + | 0.221643i | |||||
−23.0551 | + | 16.7505i | −1.08804 | + | 0.790505i | −0.979067 | − | 0.203540i | ||
−0.108970 | + | 0.994045i | ||||||||
−0.406209 | −0.0191489 | |||||||||
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−0.200883 | −0.00944873 | |||||||||
4.18475 | − | 3.04040i | 0.196617 | − | 0.142850i | |||||
1.71413 | + | 5.27556i | 0.0804482 | + | 0.247594i | |||||
1.74128 | − | 5.35911i | 0.0816325 | − | 0.251239i | |||||
−1.05526 | − | 0.766688i | −0.0494169 | − | 0.0359035i | |||||
23.1030 | + | 16.7853i | 1.08071 | + | 0.785185i | 0.977807 | − | 0.209506i | ||
0.102907 | + | 0.994691i | ||||||||
−2.86259 | + | 8.81015i | −0.133760 | + | 0.411671i | |||||
2.41520 | + | 7.43322i | 0.112732 | + | 0.346953i | |||||
−27.5472 | + | 20.0142i | −1.28439 | + | 0.933167i | |||||
0.799377 | 0.0372307 | 0.0186154 | − | 0.999827i | ||||||
0.0186154 | + | 0.999827i | ||||||||
−0.315334 | − | 0.961809i | −0.0146707 | − | 0.0447474i | |||||
−23.3696 | −1.08608 | −0.543038 | − | 0.839708i | ||||||
−0.543038 | + | 0.839708i | ||||||||
19.2206 | − | 13.9646i | 0.892293 | − | 0.648289i | |||||
−4.44513 | − | 13.6807i | −0.206138 | − | 0.634428i | |||||
−0.873051 | + | 2.68697i | −0.0404433 | + | 0.124472i | |||||
2.18138 | + | 1.58487i | 0.100942 | + | 0.0733389i | 0.637111 | − | 0.770772i | ||
−0.536169 | + | 0.844111i | ||||||||
−3.79595 | − | 2.75792i | −0.175468 | − | 0.127485i | |||||
−0.799199 | + | 2.45968i | −0.0369036 | + | 0.113578i | |||||
2.94466 | + | 9.06272i | 0.135827 | + | 0.418032i | |||||
−12.2479 | + | 8.89861i | −0.564353 | + | 0.410026i | |||||
3.36321 | 0.154804 | |||||||||
1.28327 | − | 3.98545i | 0.0590050 | − | 0.183251i | |||||
−2.79379 | −0.128323 | |||||||||
−0.979419 | + | 0.711589i | −0.0449388 | + | 0.0326500i | |||||
4.14614 | + | 12.7605i | 0.190038 | + | 0.584877i | |||||
1.47030 | − | 4.52513i | 0.0673206 | − | 0.207191i | |||||
3.13867 | + | 2.28038i | 0.143559 | + | 0.104302i | |||||
15.6140 | + | 11.3442i | 0.713423 | + | 0.518332i | 0.884276 | − | 0.466965i | ||
−0.170853 | + | 0.985296i | ||||||||
−2.87132 | + | 8.83701i | −0.131057 | + | 0.403352i | |||||
7.75967 | + | 23.8818i | 0.353810 | + | 1.08892i | |||||
−2.96460 | + | 2.15390i | −0.135034 | + | 0.0981077i | |||||
6.58427 | 0.299594 | |||||||||
16.7315 | − | 12.2923i | 0.760522 | − | 0.558740i | |||||
32.1414 | 1.45947 | |||||||||
0.271454 | − | 0.197223i | 0.0123134 | − | 0.00894622i | |||||
−4.48727 | − | 13.8104i | −0.203338 | − | 0.625809i | −0.999778 | − | 0.0210915i | ||
0.796440 | − | 0.604718i | ||||||||
3.63740 | − | 11.1948i | 0.164657 | − | 0.506763i | |||||
3.11617 | + | 2.26403i | 0.140918 | + | 0.102383i | |||||
−4.17582 | − | 3.03391i | −0.188644 | − | 0.137058i | |||||
5.57486 | − | 17.1577i | 0.251590 | − | 0.774314i | −0.742892 | − | 0.669411i | ||
0.994482 | − | 0.104904i | ||||||||
−2.51843 | − | 7.75093i | −0.113540 | − | 0.349439i | |||||
45.0152 | − | 32.7055i | 2.02738 | − | 1.47298i | |||||
0.834131 | 0.0375293 | |||||||||
−2.53329 | + | 7.86761i | −0.113863 | + | 0.353623i | |||||
−19.2625 | −0.864912 | |||||||||
−9.98377 | + | 7.25363i | −0.447833 | + | 0.325370i | |||||
1.39355 | + | 4.28890i | 0.0624464 | + | 0.192190i | |||||
−6.76893 | + | 20.8326i | −0.303019 | + | 0.932597i | 0.677390 | + | 0.735624i | ||
−0.980409 | + | 0.196973i | ||||||||
−14.4198 | − | 10.4766i | −0.644874 | − | 0.468529i | |||||
3.36122 | + | 2.44207i | 0.150168 | + | 0.109104i | |||||
0.515683 | − | 1.58711i | 0.0230161 | − | 0.0708362i | |||||
5.90754 | + | 18.1815i | 0.263404 | + | 0.810674i | 0.992057 | + | 0.125791i | ||
−0.728653 | + | 0.684883i | ||||||||
0.959800 | − | 0.697336i | 0.0427529 | − | 0.0310618i | |||||
−18.4679 | −0.821812 | |||||||||
−2.50976 | − | 7.65508i | −0.111572 | − | 0.340310i | |||||
−6.81997 | −0.302886 | |||||||||
6.03120 | − | 4.38192i | 0.267591 | − | 0.194416i | |||||
6.88543 | + | 21.1912i | 0.305191 | + | 0.939282i | 0.979606 | + | 0.200929i | ||
−0.674414 | + | 0.738353i | ||||||||
−2.01957 | + | 6.21561i | −0.0894283 | + | 0.275232i | |||||
−6.73938 | − | 4.89645i | −0.298133 | − | 0.216606i | |||||
17.1094 | + | 12.4307i | 0.756134 | + | 0.549364i | |||||
0.309017 | − | 0.951057i | 0.0136434 | − | 0.0419902i | |||||
2.25769 | + | 6.94846i | 0.0995824 | + | 0.306483i | |||||
8.16969 | − | 5.93563i | 0.360000 | − | 0.261555i | |||||
2.38270 | 0.104893 | |||||||||
37.7955 | − | 0.100259i | 1.66224 | − | 0.00440938i | |||||
−3.08268 | −0.135445 | |||||||||
19.2679 | − | 13.9989i | 0.845766 | − | 0.614485i | |||||
−2.49715 | − | 7.68545i | −0.109507 | − | 0.337029i | |||||
9.71578 | − | 29.9021i | 0.425656 | − | 1.31004i | −0.476708 | − | 0.879061i | ||
0.902365 | − | 0.430974i | ||||||||
−1.93253 | − | 1.40407i | −0.0845848 | − | 0.0614544i | |||||
−26.2367 | − | 19.0621i | −1.14725 | − | 0.833528i | −0.159140 | − | 0.987256i | ||
−0.988113 | + | 0.153728i | ||||||||
7.02512 | − | 21.6211i | 0.306894 | − | 0.944522i | |||||
−0.340264 | − | 1.04723i | −0.0148503 | − | 0.0457047i | |||||
−4.33637 | + | 3.15056i | −0.189075 | + | 0.137371i | |||||
−45.1134 | −1.96517 | |||||||||
8.97154 | + | 6.48191i | 0.390436 | + | 0.282089i | |||||
29.4045 | 1.27846 | |||||||||
3.21876 | − | 2.33857i | 0.139814 | − | 0.101581i | |||||
0.796776 | + | 2.45222i | 0.0345771 | + | 0.106417i | |||||
0.530485 | − | 1.63266i | 0.0229994 | − | 0.0707850i | |||||
8.68426 | + | 6.30948i | 0.376157 | + | 0.273294i | |||||
2.35566 | + | 1.71149i | 0.101939 | + | 0.0740632i | |||||
9.19044 | − | 28.2853i | 0.397337 | − | 1.22288i | |||||
1.14612 | + | 3.52741i | 0.0495051 | + | 0.152361i | |||||
−2.80054 | + | 2.03471i | −0.120852 | + | 0.0878041i | |||||
9.51751 | 0.410329 | |||||||||
−16.5307 | + | 12.0774i | −0.712029 | + | 0.520211i | |||||
−4.70365 | −0.202413 | |||||||||
21.9417 | − | 15.9415i | 0.943346 | − | 0.685381i | −0.00587804 | − | 0.999983i | ||
0.949224 | + | 0.314602i | ||||||||
−2.30440 | − | 7.09223i | −0.0989826 | − | 0.304637i | |||||
−5.86370 | + | 18.0466i | −0.251636 | + | 0.774455i | |||||
23.5754 | + | 17.1286i | 1.01079 | + | 0.734381i | |||||
−30.9710 | − | 22.5017i | −1.32665 | − | 0.963869i | |||||
−0.234444 | + | 0.721546i | −0.0100333 | + | 0.0308793i | |||||
−8.32831 | − | 25.6319i | −0.356093 | − | 1.09594i | −0.955373 | − | 0.295402i | ||
0.599280 | − | 0.800539i | ||||||||
−7.07475 | + | 5.14011i | −0.302218 | + | 0.219575i | |||||
9.02420 | 0.385144 | |||||||||
−1.08784 | + | 0.794778i | −0.0463856 | + | 0.0338895i | |||||
−7.11919 | −0.303288 | |||||||||
7.63909 | − | 5.55013i | 0.325141 | − | 0.236229i | |||||
−2.34024 | − | 7.20252i | −0.0995171 | − | 0.306282i | |||||
−0.0847973 | + | 0.260979i | −0.00360269 | + | 0.0110879i | |||||
20.3653 | + | 14.7963i | 0.864459 | + | 0.628066i | |||||
1.68389 | + | 1.22342i | 0.0714130 | + | 0.0518846i | |||||
−3.12482 | + | 9.61721i | −0.132403 | + | 0.407494i | −0.995177 | − | 0.0980954i | ||
0.862774 | + | 0.505590i | ||||||||
0.598489 | + | 1.84196i | 0.0253361 | + | 0.0779764i | |||||
−2.53896 | + | 1.84466i | −0.107386 | + | 0.0780208i | |||||
−7.56431 | −0.319650 | |||||||||
21.0116 | + | 15.1808i | 0.887111 | + | 0.640935i | |||||
−0.901141 | −0.0380123 | |||||||||
−3.59582 | + | 2.61252i | −0.151546 | + | 0.110104i | −0.660974 | − | 0.750408i | ||
0.509429 | + | 0.860513i | ||||||||
6.64654 | + | 20.4559i | 0.279870 | + | 0.861350i | |||||
0.0819644 | − | 0.252260i | 0.00344827 | − | 0.0106127i | |||||
−5.26057 | − | 3.82203i | −0.221118 | − | 0.160652i | |||||
0.735836 | + | 0.534616i | 0.0309022 | + | 0.0224518i | |||||
−5.46885 | + | 16.8314i | −0.229468 | + | 0.706229i | |||||
−2.10035 | − | 6.46422i | −0.0880513 | − | 0.270994i | 0.897329 | − | 0.441362i | ||
−0.985381 | + | 0.170368i | ||||||||
0.676495 | − | 0.491502i | 0.0283352 | − | 0.0205868i | |||||
−16.1697 | −0.676681 | −0.338341 | − | 0.941024i | ||||||
−0.338341 | + | 0.941024i | ||||||||
−15.5617 | + | 0.0412801i | −0.650668 | + | 0.00172601i | |||||
6.65758 | 0.278124 | |||||||||
−1.06610 | + | 0.774570i | −0.0444983 | + | 0.0323299i | |||||
−2.70818 | − | 8.33492i | −0.112939 | − | 0.347590i | |||||
−1.67589 | + | 5.15787i | −0.0698288 | + | 0.214911i | |||||
0.750345 | + | 0.545157i | 0.0312373 | + | 0.0226952i | 0.603294 | − | 0.797519i | ||
−0.572057 | + | 0.820214i | ||||||||
11.9673 | + | 8.69477i | 0.497775 | + | 0.361655i | |||||
−2.02093 | + | 6.21978i | −0.0839869 | + | 0.258485i | |||||
10.3478 | + | 31.8473i | 0.429669 | + | 1.32239i | |||||
−9.88967 | + | 7.18526i | −0.410293 | + | 0.298095i | |||||
−4.32750 | −0.179380 | |||||||||
−4.91624 | − | 14.9952i | −0.203610 | − | 0.621036i | |||||
−11.9465 | −0.494348 | |||||||||
5.01211 | − | 3.64151i | 0.207225 | − | 0.150558i | |||||
−1.49349 | − | 4.59648i | −0.0616954 | − | 0.189879i | |||||
−2.11236 | + | 6.50118i | −0.0871865 | + | 0.268333i | −0.985139 | − | 0.171760i | ||
0.897952 | + | 0.440093i | ||||||||
−9.42546 | − | 6.84800i | −0.388699 | − | 0.282407i | |||||
4.66974 | + | 3.39276i | 0.192413 | + | 0.139796i | |||||
−0.666259 | + | 2.05053i | −0.0274294 | + | 0.0844191i | |||||
−6.10814 | − | 18.7989i | −0.251255 | − | 0.773284i | |||||
27.2710 | − | 19.8136i | 1.12083 | − | 0.814332i | |||||
30.4399 | 1.25002 | 0.625009 | − | 0.780617i | ||||||
0.625009 | + | 0.780617i | ||||||||
0.341080 | − | 1.05929i | 0.0139947 | − | 0.0434631i | |||||
−17.7158 | −0.726279 | |||||||||
24.5166 | − | 17.8124i | 1.00424 | − | 0.729623i | |||||
−1.11910 | − | 3.44425i | −0.0458019 | − | 0.140964i | |||||
−1.86595 | + | 5.74281i | −0.0763045 | + | 0.234841i | |||||
20.1262 | + | 14.6226i | 0.822336 | + | 0.597462i | 0.917381 | − | 0.398011i | ||
−0.0950446 | + | 0.995473i | ||||||||
−1.27752 | − | 0.928174i | −0.0521546 | − | 0.0378925i | |||||
−3.86863 | + | 11.9064i | −0.157805 | + | 0.485672i | −0.998434 | − | 0.0559379i | ||
0.840630 | + | 0.541610i | ||||||||
−0.119055 | − | 0.366413i | −0.00485231 | − | 0.0149339i | |||||
−2.30042 | + | 1.67135i | −0.0936804 | + | 0.0680628i | |||||
9.76291 | 0.397247 | |||||||||
8.60936 | + | 26.0262i | 0.350020 | + | 1.05812i | |||||
2.48650 | 0.101007 | |||||||||
22.3187 | − | 16.2155i | 0.905887 | − | 0.658166i | −0.0340841 | − | 0.999419i | ||
0.939971 | + | 0.341253i | ||||||||
−1.15216 | − | 3.54599i | −0.0467263 | − | 0.143809i | |||||
2.00095 | − | 6.15829i | 0.0810826 | − | 0.249547i | |||||
6.10482 | + | 4.43541i | 0.247177 | + | 0.179585i | |||||
−22.9191 | − | 16.6517i | −0.927209 | − | 0.673657i | |||||
−4.55849 | + | 14.0296i | −0.184266 | + | 0.567112i | |||||
9.06521 | + | 27.8998i | 0.366140 | + | 1.12686i | 0.949264 | + | 0.314481i | ||
−0.583124 | + | 0.812383i | ||||||||
0.0187071 | − | 0.0135915i | 0.000754959 | − | 0.000548510i | |||||
10.7609 | 0.433920 | |||||||||
1.20598 | − | 3.74540i | 0.0485903 | − | 0.150907i | |||||
12.7952 | 0.515114 | 0.257557 | − | 0.966263i | ||||||
0.257557 | + | 0.966263i | ||||||||
−1.09996 | + | 0.799168i | −0.0442469 | + | 0.0321472i | |||||
7.35983 | + | 22.6512i | 0.295817 | + | 0.910430i | 0.982946 | + | 0.183895i | ||
−0.687129 | + | 0.726535i | ||||||||
8.38982 | − | 25.8212i | 0.336943 | − | 1.03700i | |||||
5.85655 | + | 4.25503i | 0.235015 | + | 0.170749i | |||||
−2.23309 | − | 1.62243i | −0.0895387 | − | 0.0650536i | |||||
−2.43905 | + | 7.50663i | −0.0977186 | + | 0.300747i | |||||
−2.56363 | − | 7.89005i | −0.102627 | − | 0.315855i | |||||
23.9368 | − | 17.3911i | 0.957472 | − | 0.695644i | |||||
−10.2012 | −0.407721 | |||||||||
−1.03326 | − | 3.15157i | −0.0412643 | − | 0.125861i | |||||
−28.5740 | −1.14023 | |||||||||
63.8696 | − | 46.4040i | 2.54665 | − | 1.85025i | |||||
0.235024 | + | 0.723330i | 0.00936358 | + | 0.0288181i | |||||
−1.55033 | + | 4.77141i | −0.0617175 | + | 0.189947i | −0.977161 | − | 0.212499i | ||
0.915444 | + | 0.402446i | ||||||||
−8.78643 | − | 6.38371i | −0.349505 | − | 0.253931i | |||||
7.41500 | + | 5.38731i | 0.294720 | + | 0.214126i | |||||
3.00257 | − | 9.24096i | 0.119247 | − | 0.367005i | |||||
3.04179 | + | 9.36165i | 0.120710 | + | 0.371506i | |||||
7.26524 | − | 5.27850i | 0.288085 | − | 0.209306i | |||||
15.3452 | 0.607999 | |||||||||
−7.92254 | + | 0.0210159i | −0.313656 | + | 0.000832026i | |||||
−13.5679 | −0.536739 | |||||||||
−18.7033 | + | 13.5887i | −0.739311 | + | 0.537141i | |||||
5.21881 | + | 16.0618i | 0.206131 | + | 0.634404i | 0.999665 | + | 0.0258793i | ||
−0.793535 | + | 0.608525i | ||||||||
−1.23739 | + | 3.80830i | −0.0488360 | + | 0.150302i | |||||
2.40085 | + | 1.74432i | 0.0946804 | + | 0.0687893i | 0.634118 | − | 0.773236i | ||
−0.539438 | + | 0.842025i | ||||||||
10.0539 | + | 7.30455i | 0.396177 | + | 0.287840i | |||||
−0.972193 | + | 2.99210i | −0.0382801 | + | 0.117814i | |||||
−0.810386 | − | 2.49411i | −0.0318842 | − | 0.0981296i | |||||
−0.209243 | + | 0.152024i | −0.00822619 | + | 0.00597668i | −0.591891 | − | 0.806018i | ||
0.583665 | + | 0.811995i | ||||||||
1.30437 | 0.0512404 | |||||||||
6.93174 | + | 5.00816i | 0.272095 | + | 0.196588i | |||||
1.00982 | 0.0396085 | |||||||||
−4.24733 | + | 3.08586i | −0.166466 | + | 0.120945i | |||||
2.24653 | + | 6.91412i | 0.0879810 | + | 0.270778i | |||||
6.56923 | − | 20.2180i | 0.257074 | − | 0.791192i | −0.736340 | − | 0.676612i | ||
0.993414 | − | 0.114581i | ||||||||
4.16991 | + | 3.02961i | 0.163056 | + | 0.118467i | |||||
24.2845 | + | 17.6437i | 0.948874 | + | 0.689397i | |||||
4.45287 | − | 13.7045i | 0.173856 | − | 0.535072i | |||||
−2.83023 | − | 8.71055i | −0.110418 | − | 0.339831i | |||||
2.81362 | − | 2.04421i | 0.109686 | − | 0.0796917i | |||||
−37.2792 | −1.45219 | −0.726095 | − | 0.687594i | ||||||
−0.726095 | + | 0.687594i | ||||||||
−12.5965 | + | 9.20305i | −0.490318 | + | 0.358228i | |||||
−18.5045 | −0.719740 | −0.359870 | − | 0.933002i | ||||||
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−5.41730 | + | 16.6727i | −0.210232 | + | 0.647028i | |||||
1.83379 | + | 1.33232i | 0.0711112 | + | 0.0516653i | |||||
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15.9257 | − | 49.0141i | 0.616644 | − | 1.89783i | |||||
2.42320 | + | 7.45784i | 0.0937564 | + | 0.288552i | |||||
21.1861 | − | 15.3926i | 0.819101 | − | 0.595111i | |||||
−2.37770 | −0.0918584 | |||||||||
24.1670 | − | 17.6565i | 0.932958 | − | 0.681622i | |||||
3.39121 | 0.130819 | |||||||||
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0.172283 | + | 0.985048i | ||||||||
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0.374105 | − | 1.15138i | 0.0143993 | − | 0.0443165i | |||||
−10.4138 | − | 7.56604i | −0.400529 | − | 0.291002i | |||||
19.5315 | + | 14.1905i | 0.750658 | + | 0.545385i | 0.896031 | − | 0.443992i | ||
−0.145373 | + | 0.989377i | ||||||||
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−16.5319 | −0.633504 | |||||||||
5.20670 | + | 3.76183i | 0.199375 | + | 0.144048i | |||||
−0.588022 | −0.0225000 | −0.0112500 | − | 0.999937i | ||||||
−0.0112500 | + | 0.999937i | ||||||||
1.52695 | − | 1.10940i | 0.0583844 | − | 0.0424188i | |||||
−3.56809 | − | 10.9815i | −0.136330 | − | 0.419580i | |||||
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−22.3355 | − | 16.2277i | −0.852152 | − | 0.619125i | |||||
3.40830 | + | 2.47628i | 0.129940 | + | 0.0944072i | |||||
−3.65513 | + | 11.2493i | −0.139249 | + | 0.428565i | |||||
1.87057 | + | 5.75701i | 0.0712113 | + | 0.219166i | |||||
32.0314 | − | 23.2722i | 1.21853 | − | 0.885316i | 0.222555 | − | 0.974920i | ||
0.995977 | + | 0.0896044i | ||||||||
44.9515 | 1.70880 | |||||||||
3.01660 | − | 0.00800204i | 0.114591 | − | 0.000303972i | |||||
−9.30801 | −0.353327 | |||||||||
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10.4288 | − | 32.0964i | 0.395018 | − | 1.21574i | |||||
−8.45219 | − | 6.14087i | −0.319920 | − | 0.232435i | |||||
−6.81202 | − | 4.94922i | −0.257654 | − | 0.187197i | |||||
0.642220 | − | 1.97655i | 0.0242736 | − | 0.0747066i | |||||
8.42736 | + | 25.9367i | 0.318297 | + | 0.979617i | 0.974376 | + | 0.224925i | ||
−0.656079 | + | 0.754692i | ||||||||
−0.674826 | + | 0.490290i | −0.0254697 | + | 0.0185048i | |||||
−10.1010 | −0.380968 | |||||||||
5.60366 | + | 17.0919i | 0.211196 | + | 0.644175i | |||||
−28.3997 | −1.06959 | |||||||||
0.250115 | − | 0.181719i | 0.00941320 | − | 0.00683909i | |||||
2.08284 | + | 6.41032i | 0.0783332 | + | 0.241085i | |||||
−1.50385 | + | 4.62836i | −0.0565180 | + | 0.173945i | |||||
25.8021 | + | 18.7463i | 0.969018 | + | 0.704032i | 0.955227 | − | 0.295872i | ||
0.0137901 | + | 0.999905i | ||||||||
−9.17863 | − | 6.66867i | −0.344468 | − | 0.250271i | |||||
2.57298 | − | 7.91883i | 0.0964945 | − | 0.296979i | |||||
3.49782 | + | 10.7652i | 0.131086 | + | 0.403443i | |||||
−33.8047 | + | 24.5605i | −1.26599 | + | 0.919799i | |||||
2.38524 | 0.0892655 | |||||||||
6.29767 | − | 19.5586i | 0.235520 | − | 0.731451i | |||||
−6.53358 | −0.244171 | |||||||||
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1.49569 | − | 4.60326i | 0.0557798 | − | 0.171673i | −0.919285 | − | 0.393592i | ||
0.975065 | + | 0.221920i | ||||||||
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−2.98168 | − | 2.16632i | −0.111044 | − | 0.0806779i | |||||
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−3.37482 | − | 10.3866i | −0.125511 | − | 0.386283i | |||||
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−8.61869 | −0.320090 | |||||||||
−1.15916 | − | 3.50415i | −0.0430203 | − | 0.130051i | |||||
39.8974 | 1.47971 | 0.739856 | − | 0.672765i | ||||||
0.739856 | + | 0.672765i | ||||||||
−2.38603 | + | 1.73355i | −0.0884322 | + | 0.0642497i | |||||
0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | |||||
2.36662 | − | 7.28370i | 0.0875925 | − | 0.269582i | |||||
7.98235 | + | 5.79952i | 0.295238 | + | 0.214503i | |||||
13.7795 | + | 10.0114i | 0.509306 | + | 0.370032i | |||||
8.20512 | − | 25.2527i | 0.303063 | − | 0.932732i | −0.677330 | − | 0.735679i | ||
0.980393 | − | 0.197052i | ||||||||
2.11328 | + | 6.50401i | 0.0780026 | + | 0.240067i | |||||
12.4452 | − | 9.04199i | 0.459049 | − | 0.333519i | |||||
26.9908 | 0.994893 | |||||||||
−2.89046 | + | 8.97687i | −0.106471 | + | 0.330667i | |||||
−1.44883 | −0.0533323 | |||||||||
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0.493033 | + | 0.870011i | ||||||||
14.6819 | + | 45.1863i | 0.539719 | + | 1.66108i | |||||
−0.768206 | + | 2.36429i | −0.0282207 | + | 0.0868545i | |||||
−1.17475 | − | 0.853504i | −0.0431263 | − | 0.0313331i | |||||
−12.7683 | − | 9.27670i | −0.468423 | − | 0.340329i | 0.328403 | − | 0.944538i | ||
−0.796826 | + | 0.604208i | ||||||||
−2.32658 | + | 7.16046i | −0.0852964 | + | 0.262515i | |||||
12.3648 | + | 38.0548i | 0.453010 | + | 1.39422i | |||||
10.4213 | − | 7.57150i | 0.381550 | − | 0.277212i | |||||
−13.4401 | −0.491746 | |||||||||
15.2422 | + | 46.4906i | 0.557309 | + | 1.69986i | |||||
−10.8545 | −0.396614 | |||||||||
−2.56349 | + | 1.86248i | −0.0936054 | + | 0.0680083i | |||||
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−0.997239 | + | 0.0742638i | ||||||||
−11.7518 | + | 36.1685i | −0.428546 | + | 1.31893i | |||||
4.02364 | + | 2.92335i | 0.146630 | + | 0.106533i | |||||
4.80422 | + | 3.49047i | 0.174959 | + | 0.127115i | |||||
−3.98347 | + | 12.2599i | −0.144973 | + | 0.446182i | |||||
0.530485 | + | 1.63266i | 0.0192936 | + | 0.0593794i | |||||
10.3390 | − | 7.51176i | 0.375779 | − | 0.273019i | −0.383824 | − | 0.923406i | ||
0.759603 | + | 0.650387i | ||||||||
3.73532 | 0.135673 | |||||||||
24.0093 | − | 0.0636886i | 0.871481 | − | 0.00231175i | |||||
3.25063 | 0.117913 | |||||||||
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0.255992 | + | 0.966679i | ||||||||
−0.409543 | − | 1.26044i | −0.0148362 | − | 0.0456611i | |||||
−4.31753 | + | 13.2880i | −0.156305 | + | 0.481057i | |||||
10.1658 | + | 7.38589i | 0.367786 | + | 0.267212i | |||||
−15.7578 | − | 11.4487i | −0.569725 | − | 0.413930i | |||||
−2.31502 | + | 7.12489i | −0.0836450 | + | 0.257433i | |||||
−1.98076 | − | 6.09614i | −0.0715210 | − | 0.220119i | |||||
−6.25690 | + | 4.54590i | −0.225776 | + | 0.164036i | |||||
−32.2343 | −1.16240 | −0.581199 | − | 0.813762i | ||||||
−0.581199 | + | 0.813762i | ||||||||
2.04465 | + | 1.47725i | 0.0736840 | + | 0.0532365i | |||||
−21.7742 | −0.784180 | |||||||||
−9.98605 | + | 7.25529i | −0.359406 | + | 0.261124i | |||||
−12.9520 | − | 39.8622i | −0.465852 | − | 1.43374i | −0.857908 | − | 0.513803i | ||
0.392057 | − | 0.919941i | ||||||||
0.130895 | − | 0.402854i | 0.00470493 | − | 0.0144803i | |||||
5.65331 | + | 4.10737i | 0.203073 | + | 0.147541i | |||||
−13.6099 | − | 9.88818i | −0.488567 | − | 0.354965i | |||||
2.83904 | − | 8.73766i | 0.101850 | − | 0.313462i | |||||
−0.694274 | − | 2.13676i | −0.0248909 | − | 0.0766064i | |||||
−3.49331 | + | 2.53804i | −0.125161 | + | 0.0909347i | |||||
11.6931 | 0.418681 | |||||||||
−36.3353 | + | 26.5467i | −1.30018 | + | 0.949914i | |||||
18.9843 | 0.678876 | |||||||||
5.75955 | − | 4.18456i | 0.205829 | − | 0.149544i | |||||
−6.36558 | − | 19.5912i | −0.227342 | − | 0.699687i | |||||
11.6588 | − | 35.8821i | 0.416120 | − | 1.28069i | |||||
−3.26964 | − | 2.37554i | −0.116624 | − | 0.0847325i | |||||
−5.63792 | − | 4.09619i | −0.200970 | − | 0.146013i | 0.482749 | − | 0.875759i | ||
−0.683719 | + | 0.729746i | ||||||||
11.5286 | − | 35.4814i | 0.410689 | − | 1.26397i | |||||
−4.93642 | − | 15.1927i | −0.175741 | − | 0.540876i | |||||
5.63273 | − | 4.09242i | 0.200404 | − | 0.145602i | |||||
−0.0968051 | −0.00344199 | |||||||||
3.49313 | − | 2.55209i | 0.124123 | − | 0.0906846i | |||||
−22.4339 | −0.796650 | |||||||||
−3.31368 | + | 2.40753i | −0.117598 | + | 0.0854400i | |||||
3.66416 | + | 11.2771i | 0.129954 | + | 0.399959i | |||||
2.11221 | − | 6.50072i | 0.0748654 | − | 0.230412i | |||||
−0.209047 | − | 0.151882i | −0.00740484 | − | 0.00537993i | 0.584077 | − | 0.811698i | ||
−0.591482 | + | 0.806319i | ||||||||
−0.246899 | − | 0.179383i | −0.00874014 | − | 0.00635008i | |||||
−27.5232 | + | 84.7076i | −0.973700 | + | 2.99674i | |||||
−1.39484 | − | 4.29288i | −0.0493150 | − | 0.151776i | |||||
−7.02058 | + | 5.10075i | −0.248060 | + | 0.180226i | |||||
5.31904 | 0.187822 | |||||||||
−24.6223 | − | 17.7895i | −0.868900 | − | 0.627778i | |||||
−5.36682 | −0.189273 | |||||||||
−13.2749 | + | 9.64481i | −0.467880 | + | 0.339935i | |||||
−1.48782 | − | 4.57905i | −0.0524063 | − | 0.161290i | |||||
−8.76530 | + | 26.9768i | −0.308553 | + | 0.949629i | |||||
7.82002 | + | 5.68158i | 0.275107 | + | 0.199877i | |||||
−7.58656 | − | 5.51196i | −0.266729 | − | 0.193790i | 0.446379 | − | 0.894844i | ||
−0.713108 | + | 0.701054i | ||||||||
−0.258398 | + | 0.795267i | −0.00907918 | + | 0.0279428i | |||||
9.69501 | + | 29.8382i | 0.340438 | + | 1.04776i | 0.963981 | + | 0.265971i | ||
−0.623543 | + | 0.781789i | ||||||||
9.88733 | − | 7.18357i | 0.346977 | − | 0.252094i | |||||
22.2248 | 0.779457 | |||||||||
−11.2409 | + | 0.0298183i | −0.393992 | + | 0.00104513i | |||||
−9.59911 | −0.336242 | |||||||||
−21.1012 | + | 15.3309i | −0.738689 | + | 0.536689i | |||||
−0.390108 | − | 1.20063i | −0.0136481 | − | 0.0420047i | |||||
−2.13899 | + | 6.58315i | −0.0747882 | + | 0.230174i | |||||
−1.82926 | − | 1.32904i | −0.0639196 | − | 0.0464403i | |||||
16.4313 | + | 11.9381i | 0.573807 | + | 0.416895i | |||||
−14.5043 | + | 44.6397i | −0.506204 | + | 1.55794i | 0.292532 | + | 0.956256i | ||
−0.798737 | + | 0.601681i | ||||||||
0.480405 | + | 1.47853i | 0.0167560 | + | 0.0515698i | |||||
10.8974 | − | 7.91742i | 0.379859 | − | 0.275984i | −0.381428 | − | 0.924398i | ||
0.761287 | + | 0.648415i | ||||||||
−5.28543 | −0.184127 | |||||||||
−1.25089 | − | 3.81538i | −0.0435504 | − | 0.132834i | |||||
0.786893 | 0.0273795 | |||||||||
13.9279 | − | 10.1192i | 0.484319 | − | 0.351878i | −0.318676 | − | 0.947864i | ||
0.802995 | + | 0.595985i | ||||||||
4.22215 | + | 12.9945i | 0.146730 | + | 0.451588i | |||||
7.44421 | − | 22.9109i | 0.258548 | − | 0.795729i | −0.734562 | − | 0.678542i | ||
0.993110 | − | 0.117187i | ||||||||
−9.09212 | − | 6.60581i | −0.315592 | − | 0.229291i | |||||
−0.661635 | − | 0.480706i | −0.0229519 | − | 0.0166755i | |||||
4.16621 | − | 12.8223i | 0.144437 | − | 0.444533i | |||||
−14.9084 | − | 45.8833i | −0.516545 | − | 1.58976i | |||||
0.299355 | − | 0.217494i | 0.0103658 | − | 0.00753120i | |||||
−10.3540 | −0.358314 | |||||||||
1.91860 | − | 5.95858i | 0.0663562 | − | 0.206082i | |||||
−5.77211 | −0.199513 | |||||||||
3.06477 | − | 2.22668i | 0.105871 | − | 0.0769195i | |||||
8.13283 | + | 25.0303i | 0.280776 | + | 0.864141i | 0.987633 | + | 0.156784i | ||
−0.706857 | + | 0.707357i | ||||||||
−0.913636 | + | 2.81188i | −0.0315234 | + | 0.0970192i | |||||
−17.5418 | − | 12.7449i | −0.604891 | − | 0.439479i | |||||
−6.56863 | − | 4.77239i | −0.226370 | − | 0.164467i | |||||
0.829920 | − | 2.55423i | 0.0285840 | − | 0.0879724i | |||||
5.34568 | + | 16.4523i | 0.184006 | + | 0.566312i | |||||
13.7502 | − | 9.99008i | 0.473020 | − | 0.343669i | |||||
3.82371 | 0.131462 | |||||||||
8.06288 | − | 5.92363i | 0.277044 | − | 0.203538i | |||||
15.8783 | 0.545262 | |||||||||
15.6781 | − | 11.3908i | 0.538072 | − | 0.390932i | |||||
−0.981077 | − | 3.01944i | −0.0336506 | − | 0.103566i | |||||
22.5960 | − | 69.5434i | 0.774582 | − | 2.38392i | |||||
−20.7176 | − | 15.0522i | −0.709772 | − | 0.515680i | |||||
−29.4040 | − | 21.3633i | −1.00677 | − | 0.731464i | −0.0432443 | − | 0.999065i | ||
−0.963530 | + | 0.267600i | ||||||||
0.851047 | − | 2.61925i | 0.0291222 | − | 0.0896290i | |||||
0.770105 | + | 2.37014i | 0.0263370 | + | 0.0810571i | |||||
−12.5934 | + | 9.14965i | −0.430434 | + | 0.312729i | |||||
−21.7298 | −0.742274 | −0.371137 | − | 0.928578i | ||||||
−0.371137 | + | 0.928578i | ||||||||
−0.847913 | + | 2.63336i | −0.0289473 | + | 0.0899013i | |||||
20.4025 | 0.696123 | 0.348061 | − | 0.937472i | ||||||
0.348061 | + | 0.937472i | ||||||||
−4.80391 | + | 3.49025i | −0.163812 | + | 0.119016i | |||||
−1.21363 | − | 3.73516i | −0.0413603 | − | 0.127294i | |||||
0.990873 | − | 3.04959i | 0.0337493 | − | 0.103870i | |||||
−2.17317 | − | 1.57890i | −0.0739754 | − | 0.0537463i | 0.550183 | − | 0.835044i | ||
−0.624158 | + | 0.781298i | ||||||||
3.01640 | + | 2.19154i | 0.102620 | + | 0.0745578i | |||||
−18.3411 | + | 56.4483i | −0.623618 | + | 1.91930i | |||||
1.77850 | + | 5.47367i | 0.0604360 | + | 0.186003i | |||||
−35.6663 | + | 25.9131i | −1.21129 | + | 0.880055i | |||||
−9.90890 | −0.336330 | |||||||||
−8.60326 | − | 26.2411i | −0.291846 | − | 0.890167i | |||||
5.95302 | 0.201826 | |||||||||
5.71877 | − | 4.15493i | 0.193773 | − | 0.140784i | |||||
6.19173 | + | 19.0562i | 0.209678 | + | 0.645324i | |||||
3.98547 | − | 12.2660i | 0.134888 | − | 0.415142i | |||||
−1.96508 | − | 1.42772i | −0.0664699 | − | 0.0482932i | |||||
−6.94890 | − | 5.04867i | −0.234916 | − | 0.170676i | |||||
5.34182 | − | 16.4404i | 0.180483 | − | 0.555470i | |||||
−10.4871 | − | 32.2760i | −0.354125 | − | 1.08988i | −0.956515 | − | 0.291683i | ||
0.602390 | − | 0.798202i | ||||||||
1.38607 | − | 1.00704i | 0.0467775 | − | 0.0339859i | |||||
14.4039 | 0.485832 | |||||||||
−27.5830 | + | 0.0731684i | −0.929821 | + | 0.00246651i | |||||
1.74919 | 0.0589318 | 0.0294659 | − | 0.999566i | ||||||
0.0294659 | + | 0.999566i | ||||||||
−1.67561 | + | 1.21740i | −0.0564209 | + | 0.0409922i | |||||
−4.99716 | − | 15.3797i | −0.168168 | − | 0.517567i | 0.831088 | − | 0.556141i | ||
−0.999256 | + | 0.0385738i | ||||||||
11.3322 | − | 34.8771i | 0.381145 | − | 1.17304i | |||||
−5.19851 | − | 3.77694i | −0.174746 | − | 0.126960i | |||||
5.66769 | + | 4.11782i | 0.190410 | + | 0.138341i | |||||
−10.7122 | + | 32.9688i | −0.359681 | + | 1.10698i | 0.593564 | + | 0.804787i | ||
−0.953245 | + | 0.302198i | ||||||||
−4.07144 | − | 12.5306i | −0.136629 | − | 0.420499i | |||||
2.90643 | − | 2.11164i | 0.0974784 | − | 0.0708222i | |||||
−7.25642 | −0.243236 | |||||||||
2.68837 | + | 1.94234i | 0.0900637 | + | 0.0650708i | |||||
49.4265 | 1.65492 | |||||||||
9.21941 | − | 6.69829i | 0.308516 | − | 0.224150i | |||||
−1.66478 | − | 5.12367i | −0.0556786 | − | 0.171361i | |||||
2.66584 | − | 8.20460i | 0.0891091 | − | 0.274250i | |||||
6.82610 | + | 4.95945i | 0.228044 | + | 0.165684i | |||||
−14.5592 | − | 10.5779i | −0.486117 | − | 0.353185i | |||||
−2.95482 | + | 9.09399i | −0.0986035 | + | 0.303470i | |||||
12.6984 | + | 39.0816i | 0.423514 | + | 1.30344i | |||||
1.84857 | − | 1.34306i | 0.0616190 | − | 0.0447688i | |||||
37.1874 | 1.23889 | |||||||||
−3.88002 | + | 2.83475i | −0.129190 | + | 0.0943869i | |||||
1.14822 | 0.0382104 | |||||||||
−0.112314 | + | 0.0816007i | −0.00373550 | + | 0.00271400i | |||||
−14.6130 | − | 44.9742i | −0.485753 | − | 1.49499i | |||||
0.536331 | − | 1.65066i | 0.0178184 | − | 0.0548395i | |||||
27.6465 | + | 20.0863i | 0.917986 | + | 0.666956i | 0.943022 | − | 0.332731i | ||
−0.0250361 | + | 0.999687i | ||||||||
−25.2434 | − | 18.3404i | −0.837732 | − | 0.608648i | |||||
−2.28998 | + | 7.04785i | −0.0759540 | + | 0.233762i | |||||
−0.584262 | − | 1.79817i | −0.0193681 | − | 0.0596089i | |||||
20.7519 | − | 15.0771i | 0.687541 | − | 0.499528i | −0.188310 | − | 0.982110i | ||
0.875851 | + | 0.482582i | ||||||||
3.33717 | 0.110505 | |||||||||
−35.9928 | + | 26.2965i | −1.19119 | + | 0.870286i | |||||
9.58187 | 0.316940 | |||||||||
−18.1943 | + | 13.2189i | −0.601483 | + | 0.437003i | |||||
−16.1023 | − | 49.5578i | −0.532035 | − | 1.63744i | |||||
3.38540 | − | 10.4192i | 0.111796 | − | 0.344071i | |||||
2.12162 | + | 1.54145i | 0.0700239 | + | 0.0508753i | |||||
−13.8058 | − | 10.0305i | −0.455410 | − | 0.330875i | 0.336318 | − | 0.941749i | ||
−0.791728 | + | 0.610874i | ||||||||
−7.27167 | + | 22.3799i | −0.239740 | + | 0.737844i | |||||
0.0212958 | + | 0.0655416i | 0.000701719 | + | 0.00215967i | |||||
0.216994 | − | 0.157656i | 0.00714633 | − | 0.00519211i | |||||
33.7294 | 1.11022 | |||||||||
4.61508 | + | 3.33438i | 0.151825 | + | 0.109693i | |||||
−12.2286 | −0.402074 | |||||||||
−6.34377 | + | 4.60902i | −0.208469 | + | 0.151462i | |||||
−1.25217 | − | 3.85378i | −0.0411266 | − | 0.126575i | |||||
8.20246 | − | 25.2446i | 0.269259 | − | 0.828694i | |||||
−5.74928 | − | 4.17710i | −0.188628 | − | 0.137046i | 0.489464 | − | 0.872024i | ||
−0.678091 | + | 0.734978i | ||||||||
−3.90480 | − | 2.83701i | −0.128044 | − | 0.0930291i | |||||
−1.90748 | + | 5.87062i | −0.0625151 | + | 0.192402i | |||||
−4.91098 | − | 15.1144i | −0.160864 | − | 0.495090i | |||||
6.65529 | − | 4.83535i | 0.217884 | − | 0.158302i | |||||
0.904718 | 0.0296033 | |||||||||
−64.6001 | + | 0.171363i | −2.11265 | + | 0.00560416i | |||||
−3.24261 | −0.105988 | |||||||||
−48.5665 | + | 35.2857i | −1.58660 | + | 1.15273i | −0.678001 | + | 0.735061i | ||
−0.908598 | + | 0.417671i | ||||||||
0.268160 | + | 0.825312i | 0.00875574 | + | 0.0269474i | |||||
9.39492 | − | 28.9146i | 0.306592 | − | 0.943592i | |||||
−43.3649 | − | 31.5064i | −1.41441 | − | 1.02763i | |||||
−13.6447 | − | 9.91349i | −0.444806 | − | 0.323171i | 0.342736 | − | 0.939432i | ||
−0.787542 | + | 0.616261i | ||||||||
−1.56973 | + | 4.83113i | −0.0511446 | + | 0.157407i | |||||
−9.65931 | − | 29.7283i | −0.314551 | − | 0.968087i | |||||
−6.96129 | + | 5.05767i | −0.226571 | + | 0.164613i | |||||
−2.26668 | −0.0737352 | |||||||||
−0.437673 | − | 1.33496i | −0.0142300 | − | 0.0434033i | |||||
20.1240 | 0.653942 | 0.326971 | − | 0.945034i | ||||||
0.326971 | + | 0.945034i | ||||||||
12.7139 | − | 9.23721i | 0.412929 | − | 0.300011i | |||||
7.03585 | + | 21.6541i | 0.228393 | + | 0.702923i | |||||
−0.125526 | + | 0.386328i | −0.00407259 | + | 0.0125341i | |||||
23.4277 | + | 17.0212i | 0.759695 | + | 0.551951i | |||||
7.50156 | + | 5.45020i | 0.243127 | + | 0.176642i | |||||
−10.8384 | + | 33.3570i | −0.351089 | + | 1.08054i | 0.607154 | + | 0.794584i | ||
−0.958243 | + | 0.285956i | ||||||||
−0.493340 | − | 1.51834i | −0.0159725 | − | 0.0491582i | |||||
−13.4228 | + | 9.75221i | −0.434350 | + | 0.315574i | |||||
−21.8231 | −0.705810 | |||||||||
7.23682 | − | 22.4753i | 0.233933 | − | 0.726524i | |||||
6.47584 | 0.209225 | |||||||||
−3.40931 | + | 2.47701i | −0.110092 | + | 0.0799868i | |||||
−4.17651 | − | 12.8540i | −0.134796 | − | 0.414861i | |||||
0.716079 | − | 2.20386i | 0.0230993 | − | 0.0710924i | |||||
6.81644 | + | 4.95243i | 0.219771 | + | 0.159673i | |||||
−9.65481 | − | 7.01463i | −0.311122 | − | 0.226043i | |||||
6.36970 | − | 19.6039i | 0.205154 | − | 0.631399i | |||||
−5.03638 | − | 15.5004i | −0.162127 | − | 0.498975i | |||||
1.78733 | − | 1.29857i | 0.0575063 | − | 0.0417808i | |||||
−32.6003 | −1.04836 | −0.524178 | − | 0.851609i | ||||||
−0.524178 | + | 0.851609i | ||||||||
4.36133 | − | 13.6691i | 0.140179 | − | 0.439342i | |||||
7.81575 | 0.251078 | |||||||||
8.72493 | − | 6.33903i | 0.280141 | − | 0.203534i | |||||
14.1133 | + | 43.4364i | 0.452918 | + | 1.39394i | 0.873562 | + | 0.486713i | ||
−0.420643 | + | 0.907226i | ||||||||
−0.583244 | + | 1.79504i | −0.0187075 | + | 0.0575759i | |||||
0.811466 | + | 0.589565i | 0.0260144 | + | 0.0189006i | |||||
−3.94182 | − | 2.86390i | −0.126304 | − | 0.0917653i | |||||
−0.930012 | + | 2.86228i | −0.0297842 | + | 0.0916664i | |||||
9.30614 | + | 28.6413i | 0.297882 | + | 0.916787i | |||||
−1.62488 | + | 1.18054i | −0.0519845 | + | 0.0377690i | −0.613474 | − | 0.789715i | ||
0.561490 | + | 0.827484i | ||||||||
1.29241 | 0.0413269 | |||||||||
−8.82130 | + | 27.3962i | −0.281930 | + | 0.875587i | |||||
29.0344 | 0.927470 | |||||||||
−12.4276 | + | 9.02918i | −0.396783 | + | 0.288280i | |||||
−1.87057 | − | 5.75701i | −0.0596922 | − | 0.183714i | |||||
6.05736 | − | 18.6426i | 0.193200 | − | 0.594608i | −0.806793 | − | 0.590834i | ||
0.999993 | − | 0.00377358i | ||||||||
−4.55656 | − | 3.31054i | −0.145258 | − | 0.105536i | |||||
39.8522 | + | 28.9543i | 1.26980 | + | 0.922561i | |||||
5.76930 | − | 17.7561i | 0.183732 | − | 0.565468i | |||||
3.20296 | + | 9.85768i | 0.101951 | + | 0.313774i | |||||
−3.79595 | + | 2.75792i | −0.120765 | + | 0.0877411i | |||||
9.13874 | 0.290595 | |||||||||
0.864003 | + | 2.63532i | 0.0274598 | + | 0.0837560i | |||||
45.3764 | 1.44143 | 0.720714 | − | 0.693232i | ||||||
0.720714 | + | 0.693232i | ||||||||
−17.4110 | + | 12.6498i | −0.552800 | + | 0.401633i | |||||
−0.760888 | − | 2.34177i | −0.0241461 | − | 0.0743139i | |||||
−1.27955 | + | 3.93806i | −0.0405850 | + | 0.124908i | |||||
7.30152 | + | 5.30486i | 0.231474 | + | 0.168176i | |||||
−20.5223 | − | 14.9103i | −0.650274 | − | 0.472452i | |||||
1.01618 | − | 3.12749i | 0.0321829 | − | 0.0990486i | −0.933675 | − | 0.358122i | ||
0.965858 | + | 0.259073i | ||||||||
2.27122 | + | 6.99010i | 0.0718942 | + | 0.221268i | |||||
8.17190 | − | 5.93724i | 0.258548 | − | 0.187846i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 627.2.j.a.58.3 | ✓ | 24 | |
11.2 | odd | 10 | 6897.2.a.bg.1.7 | 12 | |||
11.4 | even | 5 | inner | 627.2.j.a.400.3 | yes | 24 | |
11.9 | even | 5 | 6897.2.a.bf.1.6 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
627.2.j.a.58.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
627.2.j.a.400.3 | yes | 24 | 11.4 | even | 5 | inner | |
6897.2.a.bf.1.6 | 12 | 11.9 | even | 5 | |||
6897.2.a.bg.1.7 | 12 | 11.2 | odd | 10 |