Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(8,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 99.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 |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 8.3 | ||
Root | of defining polynomial | ||
Character | 99.8 | ||
Dual form | 99.2.j.a.62.3 |
-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 .
0.205228 | − | 0.149107i | 0.145118 | − | 0.105434i | −0.512857 | − | 0.858474i | ||
0.657975 | + | 0.753039i | ||||||||
0 | 0 | |||||||||
−0.598148 | + | 1.84091i | −0.299074 | + | 0.920456i | |||||
1.71735 | − | 2.36373i | 0.768021 | − | 1.05709i | −0.228483 | − | 0.973548i | ||
0.996504 | − | 0.0835427i | ||||||||
0 | 0 | |||||||||
2.58586 | + | 0.840196i | 0.977363 | + | 0.317564i | 0.753785 | − | 0.657122i | ||
0.223578 | + | 0.974686i | ||||||||
0.308515 | + | 0.949513i | 0.109077 | + | 0.335704i | |||||
0 | 0 | |||||||||
− | 0.741170i | − | 0.234379i | |||||||
−2.71994 | + | 1.89788i | −0.820092 | + | 0.572232i | |||||
0 | 0 | |||||||||
−1.67869 | − | 2.31052i | −0.465586 | − | 0.640824i | 0.510070 | − | 0.860133i | ||
−0.975655 | + | 0.219309i | ||||||||
0.655969 | − | 0.213137i | 0.175315 | − | 0.0569633i | |||||
0 | 0 | |||||||||
−2.92705 | − | 2.12663i | −0.731763 | − | 0.531657i | |||||
−3.60998 | − | 2.62280i | −0.875549 | − | 0.636124i | 0.0565211 | − | 0.998401i | ||
−0.932070 | + | 0.362278i | ||||||||
0 | 0 | |||||||||
−1.81761 | + | 0.590579i | −0.416989 | + | 0.135488i | −0.509995 | − | 0.860178i | ||
0.0930053 | + | 0.995666i | ||||||||
3.32418 | + | 4.57534i | 0.743310 | + | 1.02308i | |||||
0 | 0 | |||||||||
−0.275220 | + | 0.795058i | −0.0586771 | + | 0.169507i | |||||
− | 0.816370i | − | 0.170225i | −0.996371 | − | 0.0851124i | ||||
0.996371 | − | 0.0851124i | ||||||||
0 | 0 | |||||||||
−1.09283 | − | 3.36340i | −0.218567 | − | 0.672680i | |||||
−0.689029 | − | 0.223879i | −0.135130 | − | 0.0439063i | |||||
0 | 0 | |||||||||
−3.09345 | + | 4.25777i | −0.584608 | + | 0.804644i | |||||
−2.95006 | + | 9.07936i | −0.547813 | + | 1.68599i | 0.166394 | + | 0.986059i | ||
−0.714207 | + | 0.699935i | ||||||||
0 | 0 | |||||||||
4.84281 | − | 3.51851i | 0.869795 | − | 0.631943i | −0.0607369 | − | 0.998154i | ||
0.930532 | + | 0.366211i | ||||||||
−2.91456 | −0.515226 | |||||||||
0 | 0 | |||||||||
−1.13195 | −0.194127 | |||||||||
6.42681 | − | 4.66935i | 1.08633 | − | 0.789265i | |||||
0 | 0 | |||||||||
1.83750 | − | 5.65524i | 0.302083 | − | 0.929717i | −0.678666 | − | 0.734447i | ||
0.980750 | − | 0.195270i | ||||||||
−0.284966 | + | 0.392222i | −0.0462275 | + | 0.0636267i | |||||
0 | 0 | |||||||||
2.77422 | + | 0.901398i | 0.438642 | + | 0.142524i | |||||
−2.60604 | − | 8.02058i | −0.406996 | − | 1.25260i | −0.919217 | − | 0.393751i | ||
0.512221 | − | 0.858853i | ||||||||
0 | 0 | |||||||||
11.8763i | 1.81112i | 0.424214 | + | 0.905562i | ||||||
−0.424214 | + | 0.905562i | ||||||||
−1.86690 | − | 6.14238i | −0.281446 | − | 0.925998i | |||||
0 | 0 | |||||||||
−0.121726 | − | 0.167542i | −0.0179475 | − | 0.0247027i | |||||
7.34041 | − | 2.38504i | 1.07071 | − | 0.347894i | 0.279945 | − | 0.960016i | ||
0.790764 | + | 0.612122i | ||||||||
0 | 0 | |||||||||
0.317615 | + | 0.230761i | 0.0453735 | + | 0.0329658i | |||||
−0.725785 | − | 0.527314i | −0.102641 | − | 0.0745734i | |||||
0 | 0 | |||||||||
5.25758 | − | 1.70829i | 0.729094 | − | 0.236897i | |||||
6.14564 | + | 8.45874i | 0.844168 | + | 1.16190i | 0.985118 | + | 0.171881i | ||
−0.140950 | + | 0.990017i | ||||||||
0 | 0 | |||||||||
−0.185009 | + | 9.68851i | −0.0249466 | + | 1.30640i | |||||
2.71452i | 0.362743i | |||||||||
0 | 0 | |||||||||
0.748358 | + | 2.30321i | 0.0982642 | + | 0.302426i | |||||
−0.0887332 | − | 0.0288312i | −0.0115521 | − | 0.00375350i | 0.303235 | − | 0.952916i | ||
−0.314787 | + | 0.949162i | ||||||||
0 | 0 | |||||||||
1.26024 | − | 1.73457i | 0.161357 | − | 0.222089i | −0.720681 | − | 0.693267i | ||
0.882038 | + | 0.471177i | ||||||||
0.469246 | − | 1.44419i | 0.0595943 | − | 0.183412i | |||||
0 | 0 | |||||||||
5.25595 | − | 3.81867i | 0.656994 | − | 0.477334i | |||||
−8.34434 | −1.03499 | |||||||||
0 | 0 | |||||||||
−1.40778 | −0.171988 | −0.0859941 | − | 0.996296i | ||||||
−0.0859941 | + | 0.996296i | ||||||||
6.98766 | − | 5.07683i | 0.847378 | − | 0.615656i | |||||
0 | 0 | |||||||||
0.622728 | − | 1.91656i | 0.0744303 | − | 0.229073i | |||||
2.12141 | − | 2.91987i | 0.251765 | − | 0.346525i | −0.664363 | − | 0.747410i | ||
0.916128 | + | 0.400885i | ||||||||
0 | 0 | |||||||||
−1.67338 | − | 0.543714i | −0.195854 | − | 0.0636369i | 0.209447 | − | 0.977820i | ||
−0.405302 | + | 0.914183i | ||||||||
−0.466129 | − | 1.43460i | −0.0541863 | − | 0.166768i | |||||
0 | 0 | |||||||||
− | 3.69932i | − | 0.424341i | |||||||
−8.62796 | + | 2.62237i | −0.983247 | + | 0.298846i | |||||
0 | 0 | |||||||||
−4.19260 | − | 5.77063i | −0.471705 | − | 0.649246i | 0.505180 | − | 0.863014i | ||
−0.976884 | + | 0.213768i | ||||||||
−10.0535 | + | 3.26659i | −1.12402 | + | 0.365216i | |||||
0 | 0 | |||||||||
−1.73075 | − | 1.25747i | −0.191130 | − | 0.138864i | |||||
6.33808 | + | 4.60488i | 0.695695 | + | 0.505452i | 0.878527 | − | 0.477692i | ||
−0.182833 | + | 0.983144i | ||||||||
0 | 0 | |||||||||
−12.3992 | + | 4.02874i | −1.34488 | + | 0.436978i | |||||
1.77084 | + | 2.43735i | 0.190955 | + | 0.262826i | |||||
0 | 0 | |||||||||
−2.64120 | − | 1.99709i | −0.281553 | − | 0.212890i | |||||
2.06830i | 0.219240i | 0.993974 | + | 0.109620i | ||||||
−0.993974 | + | 0.109620i | ||||||||
0 | 0 | |||||||||
−2.39957 | − | 7.38512i | −0.251543 | − | 0.774171i | |||||
1.50286 | + | 0.488310i | 0.156684 | + | 0.0509099i | |||||
0 | 0 | |||||||||
1.15083 | − | 1.58398i | 0.118699 | − | 0.163375i | |||||
−1.72551 | + | 5.31057i | −0.177034 | + | 0.544853i | |||||
0 | 0 | |||||||||
−1.35141 | + | 0.981858i | −0.137215 | + | 0.0996926i | −0.654275 | − | 0.756256i | ||
0.517060 | + | 0.855949i | ||||||||
0.0995913 | 0.0100602 | |||||||||
0 | 0 | |||||||||
6.84540 | 0.684540 | |||||||||
−7.31972 | + | 5.31809i | −0.728339 | + | 0.529170i | −0.889038 | − | 0.457834i | ||
0.160698 | + | 0.987004i | ||||||||
0 | 0 | |||||||||
−5.12132 | + | 15.7618i | −0.504618 | + | 1.55306i | 0.296793 | + | 0.954942i | ||
−0.801411 | + | 0.598114i | ||||||||
1.67597 | − | 2.30677i | 0.164342 | − | 0.226198i | |||||
0 | 0 | |||||||||
2.52251 | + | 0.819613i | 0.245008 | + | 0.0796079i | |||||
2.19803 | + | 6.76484i | 0.212492 | + | 0.653982i | 0.999322 | + | 0.0368130i | ||
−0.786830 | + | 0.617169i | ||||||||
0 | 0 | |||||||||
− | 8.62045i | − | 0.825690i | −0.910801 | − | 0.412845i | ||||
0.910801 | − | 0.412845i | ||||||||
1.40665 | + | 2.01594i | 0.134119 | + | 0.192212i | |||||
0 | 0 | |||||||||
−5.78216 | − | 7.95845i | −0.546362 | − | 0.752003i | |||||
10.8495 | − | 3.52523i | 1.02064 | − | 0.331626i | 0.249556 | − | 0.968360i | ||
0.771083 | + | 0.636735i | ||||||||
0 | 0 | |||||||||
−1.92967 | − | 1.40199i | −0.179943 | − | 0.130736i | |||||
−14.9497 | − | 10.8616i | −1.38805 | − | 1.00847i | |||||
0 | 0 | |||||||||
−0.0225094 | + | 0.00731376i | −0.00207216 | + | 0.000673286i | |||||
−7.13123 | − | 9.81529i | −0.653719 | − | 0.899767i | |||||
0 | 0 | |||||||||
3.79611 | − | 10.3242i | 0.345101 | − | 0.938566i | |||||
− | 0.543892i | − | 0.0492417i | |||||||
0 | 0 | |||||||||
3.58054 | + | 11.0198i | 0.321542 | + | 0.989606i | |||||
4.06670 | + | 1.32135i | 0.363737 | + | 0.118185i | |||||
0 | 0 | |||||||||
−1.69463 | + | 2.33246i | −0.150374 | + | 0.206973i | −0.877558 | − | 0.479470i | ||
0.727184 | + | 0.686443i | ||||||||
2.31057 | − | 7.11122i | 0.204228 | − | 0.628549i | |||||
0 | 0 | |||||||||
−1.71249 | + | 1.24420i | −0.150195 | + | 0.109123i | |||||
2.10155 | 0.183613 | 0.0918067 | − | 0.995777i | ||||||
0.0918067 | + | 0.995777i | ||||||||
0 | 0 | |||||||||
−5.19630 | −0.450576 | |||||||||
−0.288916 | + | 0.209910i | −0.0249586 | + | 0.0181335i | |||||
0 | 0 | |||||||||
1.37665 | − | 4.23690i | 0.118047 | − | 0.363311i | |||||
2.98245 | − | 4.10498i | 0.254808 | − | 0.350712i | −0.662380 | − | 0.749168i | ||
0.917188 | + | 0.398455i | ||||||||
0 | 0 | |||||||||
16.6282 | + | 5.40283i | 1.41039 | + | 0.458262i | 0.912535 | − | 0.409000i | ||
0.497852 | + | 0.867262i | ||||||||
4.75168 | + | 14.6242i | 0.401590 | + | 1.23597i | |||||
0 | 0 | |||||||||
− | 0.915555i | − | 0.0768317i | |||||||
8.95103 | + | 3.09852i | 0.748523 | + | 0.259111i | |||||
0 | 0 | |||||||||
16.3948 | + | 22.5656i | 1.36152 | + | 1.87397i | |||||
−0.424495 | + | 0.137927i | −0.0351315 | + | 0.0114149i | |||||
0 | 0 | |||||||||
9.31171 | + | 6.76535i | 0.765418 | + | 0.556108i | |||||
4.57623 | + | 3.32483i | 0.374900 | + | 0.272381i | 0.759240 | − | 0.650811i | ||
−0.384340 | + | 0.923192i | ||||||||
0 | 0 | |||||||||
8.72640 | − | 2.83538i | 0.710145 | − | 0.230740i | 0.0683995 | − | 0.997658i | ||
0.641745 | + | 0.766918i | ||||||||
−1.12152 | − | 1.54365i | −0.0909677 | − | 0.125206i | |||||
0 | 0 | |||||||||
−1.37968 | + | 1.82467i | −0.111178 | + | 0.147036i | |||||
− | 17.4896i | − | 1.40480i | |||||||
0 | 0 | |||||||||
−0.943653 | − | 2.90426i | −0.0753117 | − | 0.231785i | 0.906313 | − | 0.422607i | ||
−0.981625 | + | 0.190821i | ||||||||
−1.72088 | − | 0.559147i | −0.136906 | − | 0.0444833i | |||||
0 | 0 | |||||||||
−5.00531 | + | 6.88922i | −0.395705 | + | 0.544641i | |||||
0.685911 | − | 2.11102i | 0.0540573 | − | 0.166371i | |||||
0 | 0 | |||||||||
−6.39488 | + | 4.64615i | −0.500885 | + | 0.363914i | −0.809355 | − | 0.587320i | ||
0.308470 | + | 0.951234i | ||||||||
16.3240 | 1.27469 | |||||||||
0 | 0 | |||||||||
1.98737 | 0.154250 | |||||||||
−13.3065 | + | 9.66777i | −1.02969 | + | 0.748115i | −0.968247 | − | 0.249996i | ||
−0.0614446 | + | 0.998110i | ||||||||
0 | 0 | |||||||||
1.49672 | − | 4.60642i | 0.115132 | − | 0.354340i | |||||
−1.94394 | + | 2.67561i | −0.149094 | + | 0.205210i | |||||
0 | 0 | |||||||||
−21.8633 | − | 7.10381i | −1.66706 | − | 0.541660i | |||||
−4.79669 | − | 14.7627i | −0.364686 | − | 1.12239i | −0.950178 | − | 0.311709i | ||
0.585492 | − | 0.810678i | ||||||||
0 | 0 | |||||||||
− | 9.61547i | − | 0.726861i | |||||||
11.9975 | + | 0.229100i | 0.904344 | + | 0.0172691i | |||||
0 | 0 | |||||||||
0.308398 | + | 0.424473i | 0.0231154 | + | 0.0318156i | |||||
−4.93538 | + | 1.60360i | −0.368888 | + | 0.119859i | −0.487594 | − | 0.873071i | ||
0.118706 | + | 0.992929i | ||||||||
0 | 0 | |||||||||
−4.29773 | − | 3.12248i | −0.319448 | − | 0.232092i | 0.416492 | − | 0.909139i | ||
−0.735940 | + | 0.677047i | ||||||||
−1.59363 | − | 1.15784i | −0.118128 | − | 0.0858247i | |||||
0 | 0 | |||||||||
0.775154 | − | 0.251863i | 0.0571451 | − | 0.0185676i | |||||
−10.2118 | − | 14.0554i | −0.750788 | − | 1.03337i | |||||
0 | 0 | |||||||||
14.7967 | + | 0.282553i | 1.08204 | + | 0.0206624i | |||||
14.9396i | 1.08959i | |||||||||
0 | 0 | |||||||||
0.437719 | + | 1.34716i | 0.0317555 | + | 0.0977334i | |||||
−10.3662 | − | 3.36817i | −0.750069 | − | 0.243712i | −0.0910582 | − | 0.995846i | ||
−0.659011 | + | 0.752133i | ||||||||
0 | 0 | |||||||||
9.03216 | − | 12.4317i | 0.650149 | − | 0.894853i | −0.348956 | − | 0.937139i | ||
0.999106 | + | 0.0422855i | ||||||||
−0.130946 | + | 0.403009i | −0.00940134 | + | 0.0289344i | |||||
0 | 0 | |||||||||
−0.614791 | + | 0.446672i | −0.0439136 | + | 0.0319051i | |||||
7.24149 | 0.515935 | 0.257967 | − | 0.966154i | ||||||
0.257967 | + | 0.966154i | ||||||||
0 | 0 | |||||||||
−11.3726 | −0.806181 | −0.403090 | − | 0.915160i | ||||||
−0.403090 | + | 0.915160i | ||||||||
2.85643 | − | 2.07532i | 0.201980 | − | 0.146747i | |||||
0 | 0 | |||||||||
−0.709247 | + | 2.18284i | −0.0499024 | + | 0.153584i | |||||
−15.2569 | + | 20.9993i | −1.07082 | + | 1.47386i | |||||
0 | 0 | |||||||||
−23.4339 | − | 7.61415i | −1.63670 | − | 0.531795i | |||||
1.29915 | + | 3.99838i | 0.0905162 | + | 0.278580i | |||||
0 | 0 | |||||||||
10.3330i | 0.716463i | |||||||||
3.82295 | − | 5.05595i | 0.264439 | − | 0.349727i | |||||
0 | 0 | |||||||||
−2.17376 | − | 2.99193i | −0.149648 | − | 0.205973i | 0.727611 | − | 0.685990i | ||
−0.877259 | + | 0.480017i | ||||||||
−19.2478 | + | 6.25399i | −1.32194 | + | 0.429526i | |||||
0 | 0 | |||||||||
1.45978 | + | 1.06059i | 0.0997885 | + | 0.0725006i | |||||
28.0724 | + | 20.3958i | 1.91452 | + | 1.39098i | |||||
0 | 0 | |||||||||
15.4791 | − | 5.02946i | 1.05079 | − | 0.341422i | |||||
−1.28537 | − | 1.76916i | −0.0870560 | − | 0.119822i | |||||
0 | 0 | |||||||||
−17.7250 | − | 6.13575i | −1.19502 | − | 0.413672i | |||||
12.7438i | 0.857243i | |||||||||
0 | 0 | |||||||||
−0.0875209 | − | 0.269362i | −0.00586083 | − | 0.0180378i | 0.948083 | − | 0.318022i | ||
−0.953944 | + | 0.299984i | ||||||||
−7.53664 | − | 2.44880i | −0.503563 | − | 0.163618i | |||||
0 | 0 | |||||||||
1.70099 | − | 2.34121i | 0.113148 | − | 0.155735i | |||||
5.64140 | − | 17.3625i | 0.374433 | − | 1.15239i | −0.569427 | − | 0.822042i | ||
0.943860 | − | 0.330345i | ||||||||
0 | 0 | |||||||||
−21.3385 | + | 15.5033i | −1.41009 | + | 1.02449i | −0.416777 | + | 0.909009i | ||
−0.993310 | + | 0.115479i | ||||||||
−0.605069 | −0.0398971 | |||||||||
0 | 0 | |||||||||
−9.53111 | −0.625748 | |||||||||
−8.73916 | + | 6.34937i | −0.572521 | + | 0.415961i | −0.836020 | − | 0.548699i | ||
0.263499 | + | 0.964660i | ||||||||
0 | 0 | |||||||||
6.96844 | − | 21.4467i | 0.454571 | − | 1.39903i | |||||
0.106151 | − | 0.146105i | 0.00690986 | − | 0.00951060i | |||||
0 | 0 | |||||||||
−2.92705 | − | 0.951057i | −0.189733 | − | 0.0616478i | |||||
−2.29393 | − | 7.06000i | −0.148382 | − | 0.456673i | 0.849048 | − | 0.528315i | ||
−0.997430 | + | 0.0716420i | ||||||||
0 | 0 | |||||||||
− | 2.66873i | − | 0.171908i | −0.996299 | − | 0.0859539i | ||||
0.996299 | − | 0.0859539i | ||||||||
−0.760344 | − | 2.68484i | −0.0488767 | − | 0.172588i | |||||
0 | 0 | |||||||||
2.43938 | + | 3.35752i | 0.156165 | + | 0.214943i | |||||
1.09091 | − | 0.354458i | 0.0696957 | − | 0.0226455i | |||||
0 | 0 | |||||||||
4.41576 | + | 3.20824i | 0.280968 | + | 0.204135i | |||||
4.83495 | + | 3.51280i | 0.307020 | + | 0.223063i | |||||
0 | 0 | |||||||||
1.03162 | − | 0.335194i | 0.0652455 | − | 0.0211996i | |||||
−14.2630 | − | 19.6313i | −0.900271 | − | 1.23912i | −0.970382 | − | 0.241577i | ||
0.0701107 | − | 0.997539i | ||||||||
0 | 0 | |||||||||
1.54937 | + | 2.22047i | 0.0974081 | + | 0.139600i | |||||
0.731367i | 0.0458901i | |||||||||
0 | 0 | |||||||||
3.42906 | + | 10.5535i | 0.214316 | + | 0.659597i | |||||
15.9360 | + | 5.17791i | 0.994059 | + | 0.322989i | 0.760489 | − | 0.649351i | ||
0.233570 | + | 0.972340i | ||||||||
0 | 0 | |||||||||
9.50303 | − | 13.0798i | 0.590490 | − | 0.812739i | |||||
4.99116 | − | 15.3612i | 0.309538 | − | 0.952661i | |||||
0 | 0 | |||||||||
0.431296 | − | 0.313355i | 0.0266456 | − | 0.0193591i | |||||
−10.9146 | −0.673021 | −0.336511 | − | 0.941680i | ||||||
−0.336511 | + | 0.941680i | ||||||||
0 | 0 | |||||||||
30.5484 | 1.87657 | |||||||||
−1.06642 | + | 0.774802i | −0.0653866 | + | 0.0475062i | |||||
0 | 0 | |||||||||
0.842064 | − | 2.59161i | 0.0514373 | − | 0.158308i | |||||
−9.22041 | + | 12.6908i | −0.562178 | + | 0.773772i | −0.991601 | − | 0.129331i | ||
0.429423 | + | 0.903103i | ||||||||
0 | 0 | |||||||||
−2.76289 | − | 0.897717i | −0.167834 | − | 0.0545324i | 0.223895 | − | 0.974613i | ||
−0.391728 | + | 0.920081i | ||||||||
4.98887 | + | 15.3542i | 0.302495 | + | 0.930983i | |||||
0 | 0 | |||||||||
− | 1.28716i | − | 0.0777601i | |||||||
9.35577 | + | 7.07416i | 0.564174 | + | 0.426588i | |||||
0 | 0 | |||||||||
12.4111 | + | 17.0824i | 0.745709 | + | 1.02638i | 0.998270 | + | 0.0587992i | ||
−0.252561 | + | 0.967581i | ||||||||
4.21817 | − | 1.37057i | 0.252989 | − | 0.0822011i | |||||
0 | 0 | |||||||||
6.41638 | + | 4.66177i | 0.383452 | + | 0.278594i | |||||
2.50015 | + | 1.81647i | 0.149147 | + | 0.108361i | 0.659856 | − | 0.751392i | ||
−0.510709 | + | 0.859753i | ||||||||
0 | 0 | |||||||||
−21.3272 | + | 6.92961i | −1.26777 | + | 0.411923i | −0.864256 | − | 0.503052i | ||
−0.403512 | + | 0.914975i | ||||||||
4.10631 | + | 5.65185i | 0.243664 | + | 0.335375i | |||||
0 | 0 | |||||||||
2.29901 | − | 0.698757i | 0.135943 | − | 0.0413183i | |||||
− | 22.9297i | − | 1.35350i | |||||||
0 | 0 | |||||||||
0.899570 | + | 2.76859i | 0.0529159 | + | 0.162858i | |||||
6.72935 | + | 2.18650i | 0.395161 | + | 0.128396i | |||||
0 | 0 | |||||||||
2.00186 | − | 2.75532i | 0.117150 | − | 0.161243i | |||||
6.40930 | − | 19.7258i | 0.374435 | − | 1.15239i | −0.569423 | − | 0.822044i | ||
0.943859 | − | 0.330349i | ||||||||
0 | 0 | |||||||||
−0.220535 | + | 0.160228i | −0.0128400 | + | 0.00932883i | |||||
5.93663 | 0.345059 | |||||||||
0 | 0 | |||||||||
1.43492 | 0.0831229 | |||||||||
−1.88624 | + | 1.37043i | −0.109084 | + | 0.0792543i | |||||
0 | 0 | |||||||||
−9.97845 | + | 30.7105i | −0.575148 | + | 1.77012i | |||||
1.36813 | − | 1.88306i | 0.0787268 | − | 0.108358i | |||||
0 | 0 | |||||||||
6.57619 | + | 2.13673i | 0.377170 | + | 0.122550i | |||||
−1.93578 | − | 5.95772i | −0.110843 | − | 0.341138i | |||||
0 | 0 | |||||||||
15.0077i | 0.856533i | 0.903652 | + | 0.428267i | ||||||
−0.903652 | + | 0.428267i | ||||||||
0.333256 | − | 17.4519i | 0.0189890 | − | 0.994413i | |||||
0 | 0 | |||||||||
−2.60781 | − | 3.58935i | −0.148114 | − | 0.203861i | |||||
−1.95824 | + | 0.636270i | −0.111042 | + | 0.0360796i | −0.364011 | − | 0.931395i | ||
0.252969 | + | 0.967474i | ||||||||
0 | 0 | |||||||||
20.1223 | + | 14.6197i | 1.13738 | + | 0.826355i | 0.986752 | − | 0.162236i | ||
0.150628 | + | 0.988591i | ||||||||
−0.626709 | − | 0.455330i | −0.0353672 | − | 0.0256958i | |||||
0 | 0 | |||||||||
13.1310 | − | 4.26652i | 0.738677 | − | 0.240011i | |||||
0.254351 | + | 0.350085i | 0.0142858 | + | 0.0196627i | 0.816100 | − | 0.577910i | ||
−0.801814 | + | 0.597573i | ||||||||
0 | 0 | |||||||||
−9.20754 | − | 30.2941i | −0.515523 | − | 1.69615i | |||||
− | 18.9816i | − | 1.06111i | |||||||
0 | 0 | |||||||||
−0.173999 | − | 0.535513i | −0.00969657 | − | 0.0298430i | |||||
8.11053 | + | 2.63527i | 0.451282 | + | 0.146630i | |||||
0 | 0 | |||||||||
−5.93668 | + | 8.17113i | −0.329308 | + | 0.453253i | |||||
−0.619634 | + | 1.90704i | −0.0343183 | + | 0.105621i | |||||
0 | 0 | |||||||||
6.81164 | − | 4.94895i | 0.376110 | − | 0.273260i | |||||
20.9852 | 1.15695 | |||||||||
0 | 0 | |||||||||
−17.3090 | −0.951391 | −0.475696 | − | 0.879610i | ||||||
−0.475696 | + | 0.879610i | ||||||||
−12.2683 | + | 8.91344i | −0.673310 | + | 0.489189i | |||||
0 | 0 | |||||||||
−1.28934 | + | 3.96819i | −0.0705497 | + | 0.217130i | |||||
−2.41766 | + | 3.32762i | −0.132091 | + | 0.181807i | |||||
0 | 0 | |||||||||
23.8381 | + | 7.74548i | 1.29855 | + | 0.421923i | 0.875076 | − | 0.483986i | ||
0.423471 | + | 0.905910i | ||||||||
−0.379680 | − | 1.16853i | −0.0206519 | − | 0.0635599i | |||||
0 | 0 | |||||||||
− | 25.2356i | − | 1.36859i | |||||||
−6.49444 | + | 18.7612i | −0.351694 | + | 1.01598i | |||||
0 | 0 | |||||||||
−10.5596 | − | 14.5341i | −0.570166 | − | 0.784766i | |||||
−11.2767 | + | 3.66403i | −0.608001 | + | 0.197551i | |||||
0 | 0 | |||||||||
−3.18563 | − | 2.31449i | −0.171260 | − | 0.124428i | |||||
−16.8866 | − | 12.2688i | −0.906519 | − | 0.658625i | 0.0336127 | − | 0.999435i | ||
−0.940132 | + | 0.340810i | ||||||||
0 | 0 | |||||||||
−17.1385 | + | 5.56865i | −0.917405 | + | 0.298083i | −0.729402 | − | 0.684085i | ||
−0.188003 | + | 0.982168i | ||||||||
−1.43373 | − | 1.97336i | −0.0766361 | − | 0.105481i | |||||
0 | 0 | |||||||||
7.92742 | − | 5.53148i | 0.422533 | − | 0.294829i | |||||
16.2953i | 0.867313i | 0.901078 | + | 0.433656i | ||||||
−0.901078 | + | 0.433656i | ||||||||
0 | 0 | |||||||||
−3.25858 | − | 10.0289i | −0.172947 | − | 0.532277i | |||||
−3.80756 | − | 1.23715i | −0.201800 | − | 0.0655689i | |||||
0 | 0 | |||||||||
−0.773769 | + | 1.06500i | −0.0408949 | + | 0.0562871i | |||||
−7.65875 | + | 23.5712i | −0.404213 | + | 1.24404i | 0.517337 | + | 0.855782i | ||
−0.921550 | + | 0.388259i | ||||||||
0 | 0 | |||||||||
−12.4164 | + | 9.02103i | −0.653494 | + | 0.474791i | |||||
−1.34760 | −0.0708281 | |||||||||
0 | 0 | |||||||||
15.0306 | 0.787820 | |||||||||
−4.15897 | + | 3.02167i | −0.217690 | + | 0.158161i | |||||
0 | 0 | |||||||||
2.76683 | − | 8.51544i | 0.144428 | − | 0.444502i | −0.852509 | − | 0.522712i | ||
0.996937 | + | 0.0782097i | ||||||||
−1.73611 | + | 2.38956i | −0.0905012 | + | 0.124564i | |||||
0 | 0 | |||||||||
−4.19150 | − | 1.36190i | −0.217906 | − | 0.0708018i | |||||
8.78474 | + | 27.0367i | 0.456081 | + | 1.40367i | |||||
0 | 0 | |||||||||
− | 16.9007i | − | 0.875088i | −0.899197 | − | 0.437544i | ||||
0.899197 | − | 0.437544i | ||||||||
3.07882 | − | 2.14830i | 0.159202 | − | 0.111086i | |||||
0 | 0 | |||||||||
4.52926 | + | 6.23399i | 0.233579 | + | 0.321493i | |||||
25.9303 | − | 8.42527i | 1.33548 | − | 0.433923i | |||||
0 | 0 | |||||||||
−15.9625 | − | 11.5975i | −0.819940 | − | 0.595722i | 0.0967550 | − | 0.995308i | ||
−0.916695 | + | 0.399587i | ||||||||
−8.74419 | − | 6.35302i | −0.448567 | − | 0.325903i | |||||
0 | 0 | |||||||||
−2.62964 | + | 0.854422i | −0.134544 | + | 0.0437160i | |||||
2.93889 | + | 4.04503i | 0.150170 | + | 0.206691i | 0.877474 | − | 0.479624i | ||
−0.727304 | + | 0.686315i | ||||||||
0 | 0 | |||||||||
−8.61865 | + | 24.8977i | −0.439247 | + | 1.26890i | |||||
− | 3.89808i | − | 0.198407i | |||||||
0 | 0 | |||||||||
−0.999169 | − | 3.07513i | −0.0507251 | − | 0.156116i | |||||
−9.37115 | − | 3.04487i | −0.475136 | − | 0.154381i | 0.0616527 | − | 0.998098i | ||
−0.536789 | + | 0.843716i | ||||||||
0 | 0 | |||||||||
−2.14118 | + | 2.94708i | −0.108284 | + | 0.149040i | |||||
−0.121121 | + | 0.372773i | −0.00611754 | + | 0.0188279i | |||||
0 | 0 | |||||||||
1.48615 | − | 1.07975i | 0.0748714 | − | 0.0543972i | |||||
−20.8403 | −1.04859 | |||||||||
0 | 0 | |||||||||
−19.0245 | −0.954812 | −0.477406 | − | 0.878683i | ||||||
−0.477406 | + | 0.878683i | ||||||||
−2.33397 | + | 1.69573i | −0.116991 | + | 0.0849991i | |||||
0 | 0 | |||||||||
−3.95391 | + | 12.1689i | −0.197696 | + | 0.608445i | |||||
18.0482 | − | 24.8413i | 0.901286 | − | 1.24051i | −0.0687699 | − | 0.997633i | ||
0.970056 | − | 0.242881i | ||||||||
0 | 0 | |||||||||
−16.2592 | − | 5.28293i | −0.809928 | − | 0.263162i | |||||
−5.41185 | − | 16.6560i | −0.269250 | − | 0.828665i | |||||
0 | 0 | |||||||||
6.58454i | 0.326785i | |||||||||
5.73509 | + | 18.8693i | 0.284278 | + | 0.935315i | |||||
0 | 0 | |||||||||
−6.97905 | − | 9.60583i | −0.345092 | − | 0.474978i | 0.600828 | − | 0.799378i | ||
−0.945920 | + | 0.324400i | ||||||||
−5.94461 | + | 1.93152i | −0.293584 | + | 0.0953911i | |||||
0 | 0 | |||||||||
−25.9528 | − | 18.8558i | −1.27860 | − | 0.928958i | |||||
−0.205228 | − | 0.149107i | −0.0100986 | − | 0.00733706i | |||||
0 | 0 | |||||||||
21.7694 | − | 7.07330i | 1.06862 | − | 0.347215i | |||||
4.89265 | + | 6.73416i | 0.239882 | + | 0.330169i | |||||
0 | 0 | |||||||||
0.0306992 | − | 1.60765i | 0.00150155 | − | 0.0786326i | |||||
10.0629i | 0.491606i | 0.969320 | + | 0.245803i | ||||||
−0.969320 | + | 0.245803i | ||||||||
0 | 0 | |||||||||
−1.93337 | − | 5.95029i | −0.0942265 | − | 0.289999i | 0.892825 | − | 0.450404i | ||
−0.987051 | + | 0.160405i | ||||||||
−0.892232 | − | 0.289904i | −0.0434332 | − | 0.0141123i | |||||
0 | 0 | |||||||||
−6.13566 | + | 8.44502i | −0.297974 | + | 0.410126i | |||||
−4.87643 | + | 15.0081i | −0.236541 | + | 0.728000i | |||||
0 | 0 | |||||||||
4.71618 | − | 3.42651i | 0.228232 | − | 0.165820i | |||||
−13.7682 | −0.665512 | |||||||||
0 | 0 | |||||||||
8.80238 | 0.424489 | |||||||||
15.8885 | − | 11.5436i | 0.765321 | − | 0.556038i | −0.135217 | − | 0.990816i | ||
0.900538 | + | 0.434778i | ||||||||
0 | 0 | |||||||||
9.66882 | − | 29.7576i | 0.464654 | − | 1.43006i | −0.394764 | − | 0.918783i | ||
0.859418 | − | 0.511274i | ||||||||
2.42681 | − | 3.34022i | 0.116491 | − | 0.160335i | |||||
0 | 0 | |||||||||
15.8695 | + | 5.15631i | 0.760011 | + | 0.246942i | |||||
0.482131 | + | 1.48385i | 0.0230634 | + | 0.0709820i | |||||
0 | 0 | |||||||||
20.1935i | 0.963782i | 0.876231 | + | 0.481891i | ||||||
−0.876231 | + | 0.481891i | ||||||||
−9.25644 | + | 2.81339i | −0.441283 | + | 0.134123i | |||||
0 | 0 | |||||||||
1.90019 | + | 2.61539i | 0.0903828 | + | 0.124401i | |||||
−23.1752 | + | 7.53009i | −1.10109 | + | 0.357765i | −0.802521 | − | 0.596624i | ||
−0.298567 | + | 0.954389i | ||||||||
0 | 0 | |||||||||
4.88890 | + | 3.55199i | 0.231756 | + | 0.168381i | |||||
−0.0581253 | − | 0.0422305i | −0.00275231 | − | 0.00199967i | |||||
0 | 0 | |||||||||
16.7996 | − | 5.45852i | 0.793706 | − | 0.257891i | |||||
−1.94082 | − | 2.67131i | −0.0915930 | − | 0.126067i | 0.760761 | − | 0.649032i | ||
−0.852354 | + | 0.522965i | ||||||||
0 | 0 | |||||||||
22.3104 | + | 16.8695i | 1.05055 | + | 0.794354i | |||||
22.0817i | 1.03863i | |||||||||
0 | 0 | |||||||||
−1.43109 | − | 4.40443i | −0.0671642 | − | 0.206710i | |||||
−21.5773 | − | 7.01089i | −1.01156 | − | 0.328675i | |||||
0 | 0 | |||||||||
−9.17968 | + | 12.6347i | −0.429407 | + | 0.591028i | −0.967817 | − | 0.251655i | ||
0.538410 | + | 0.842683i | ||||||||
−2.06760 | + | 6.36342i | −0.0966126 | + | 0.297343i | |||||
0 | 0 | |||||||||
3.73517 | − | 2.71376i | 0.174153 | − | 0.126530i | |||||
36.5685 | 1.70316 | 0.851582 | − | 0.524221i | ||||||
0.851582 | + | 0.524221i | ||||||||
0 | 0 | |||||||||
4.45531 | 0.207056 | 0.103528 | − | 0.994627i | ||||||
0.103528 | + | 0.994627i | ||||||||
27.9434 | − | 20.3021i | 1.29724 | − | 0.942499i | |||||
0 | 0 | |||||||||
−0.846784 | + | 2.60613i | −0.0392265 | + | 0.120727i | |||||
24.4676 | − | 33.6768i | 1.13223 | − | 1.55838i | 0.348458 | − | 0.937325i | ||
0.783769 | − | 0.621052i | ||||||||
0 | 0 | |||||||||
−3.64033 | − | 1.18282i | −0.168095 | − | 0.0546173i | |||||
−1.76772 | − | 5.44049i | −0.0815390 | − | 0.250951i | |||||
0 | 0 | |||||||||
− | 0.0931482i | − | 0.00428749i | |||||||
−22.5398 | − | 32.3029i | −1.03638 | − | 1.48529i | |||||
0 | 0 | |||||||||
3.97270 | + | 5.46796i | 0.182280 | + | 0.250887i | |||||
22.3346 | − | 7.25696i | 1.02371 | − | 0.332622i | |||||
0 | 0 | |||||||||
−1.52347 | − | 1.10687i | −0.0696819 | − | 0.0506269i | |||||
−2.84896 | − | 2.06989i | −0.130172 | − | 0.0945756i | 0.520794 | − | 0.853682i | ||
−0.650966 | + | 0.759107i | ||||||||
0 | 0 | |||||||||
−16.1512 | + | 5.24783i | −0.736430 | + | 0.239281i | |||||
−0.397925 | − | 0.547696i | −0.0181250 | − | 0.0249469i | |||||
0 | 0 | |||||||||
16.7353 | + | 13.1637i | 0.760697 | + | 0.598351i | |||||
4.88056i | 0.221615i | |||||||||
0 | 0 | |||||||||
9.85775 | + | 30.3390i | 0.446697 | + | 1.37479i | 0.880611 | + | 0.473839i | ||
−0.433914 | + | 0.900954i | ||||||||
2.03580 | + | 0.661472i | 0.0921564 | + | 0.0299434i | |||||
0 | 0 | |||||||||
0.171033 | − | 0.235407i | 0.00772648 | − | 0.0106346i | |||||
−7.54595 | + | 23.2241i | −0.340544 | + | 1.04809i | 0.623382 | + | 0.781917i | ||
−0.963926 | + | 0.266170i | ||||||||
0 | 0 | |||||||||
34.4630 | − | 25.0389i | 1.55214 | − | 1.12769i | |||||
1.38461 | 0.0622964 | |||||||||
0 | 0 | |||||||||
−21.6577 | −0.972460 | |||||||||
7.93893 | − | 5.76797i | 0.356110 | − | 0.258729i | |||||
0 | 0 | |||||||||
−7.19057 | + | 22.1303i | −0.321894 | + | 0.990689i | 0.650929 | + | 0.759139i | ||
−0.972823 | + | 0.231550i | ||||||||
−4.86498 | + | 6.69608i | −0.217569 | + | 0.299458i | |||||
0 | 0 | |||||||||
−5.85431 | − | 1.90218i | −0.261291 | − | 0.0848985i | |||||
−11.2856 | − | 34.7334i | −0.503199 | − | 1.54869i | −0.803778 | − | 0.594930i | ||
0.300579 | − | 0.953757i | ||||||||
0 | 0 | |||||||||
26.4348i | 1.17633i | |||||||||
0.649061 | + | 0.224681i | 0.0288543 | + | 0.00998829i | |||||
0 | 0 | |||||||||
−3.28022 | − | 4.51483i | −0.145536 | − | 0.200313i | |||||
23.6347 | − | 7.67938i | 1.04759 | − | 0.340383i | 0.265868 | − | 0.964009i | ||
0.781722 | + | 0.623627i | ||||||||
0 | 0 | |||||||||
−3.87030 | − | 2.81193i | −0.171212 | − | 0.124393i | |||||
14.3757 | + | 10.4445i | 0.635321 | + | 0.461588i | |||||
0 | 0 | |||||||||
4.04257 | − | 1.31351i | 0.178310 | − | 0.0579364i | |||||
28.4615 | + | 39.1739i | 1.25416 | + | 1.72621i | |||||
0 | 0 | |||||||||
−15.4389 | + | 20.4184i | −0.679003 | + | 0.897999i | |||||
− | 4.10130i | − | 0.180201i | |||||||
0 | 0 | |||||||||
−2.57436 | − | 7.92306i | −0.112893 | − | 0.347449i | |||||
−9.26334 | − | 3.00984i | −0.405834 | − | 0.131864i | 0.0989844 | − | 0.995089i | ||
−0.504819 | + | 0.863225i | ||||||||
0 | 0 | |||||||||
19.5526 | − | 26.9118i | 0.854975 | − | 1.17677i | −0.127769 | − | 0.991804i | ||
0.982744 | − | 0.184968i | ||||||||
−1.25704 | + | 3.86877i | −0.0549140 | + | 0.169008i | |||||
0 | 0 | |||||||||
−2.23997 | + | 1.62743i | −0.0976674 | + | 0.0709595i | |||||
−26.7108 | −1.16354 | |||||||||
0 | 0 | |||||||||
22.3335 | 0.971023 | |||||||||
6.26937 | − | 4.55496i | 0.272324 | − | 0.197855i | |||||
0 | 0 | |||||||||
3.10816 | − | 9.56592i | 0.134756 | − | 0.414735i | |||||
−14.1570 | + | 19.4854i | −0.613207 | + | 0.844007i | |||||
0 | 0 | |||||||||
19.7650 | + | 6.42205i | 0.854517 | + | 0.277649i | |||||
−0.434323 | − | 1.33671i | −0.0187599 | − | 0.0577371i | |||||
0 | 0 | |||||||||
3.97933i | 0.171561i | |||||||||
−1.30185 | − | 0.0248597i | −0.0560746 | − | 0.00107078i | |||||
0 | 0 | |||||||||
−6.85075 | − | 9.42925i | −0.294537 | − | 0.405395i | 0.635944 | − | 0.771735i | ||
−0.930481 | + | 0.366340i | ||||||||
−0.700877 | + | 0.227729i | −0.0301052 | + | 0.00978178i | |||||
0 | 0 | |||||||||
10.5215 | + | 7.64432i | 0.451106 | + | 0.327748i | |||||
−20.3764 | − | 14.8043i | −0.872829 | − | 0.634147i | |||||
0 | 0 | |||||||||
0.773004 | − | 0.251164i | 0.0330513 | − | 0.0107390i | −0.292445 | − | 0.956282i | ||
0.325496 | + | 0.945543i | ||||||||
5.77297 | + | 7.94581i | 0.246609 | + | 0.339428i | |||||
0 | 0 | |||||||||
2.97487 | + | 0.0568072i | 0.126849 | + | 0.00242227i | |||||
− | 18.2450i | − | 0.777264i | |||||||
0 | 0 | |||||||||
−5.99302 | − | 18.4446i | −0.254849 | − | 0.784345i | |||||
5.09419 | + | 1.65520i | 0.216431 | + | 0.0703228i | |||||
0 | 0 | |||||||||
−19.8923 | + | 27.3794i | −0.843620 | + | 1.16114i | |||||
−2.14843 | + | 6.61219i | −0.0910320 | + | 0.280168i | −0.986199 | − | 0.165563i | ||
0.895167 | + | 0.445730i | ||||||||
0 | 0 | |||||||||
27.4405 | − | 19.9367i | 1.16061 | − | 0.843233i | |||||
−28.7416 | −1.21455 | |||||||||
0 | 0 | |||||||||
0.783948 | 0.0330689 | |||||||||
23.2654 | − | 16.9033i | 0.980519 | − | 0.712388i | 0.0226941 | − | 0.999742i | ||
0.957824 | + | 0.287354i | ||||||||
0 | 0 | |||||||||
10.2998 | − | 31.6994i | 0.433314 | − | 1.33360i | |||||
−3.34367 | + | 4.60217i | −0.140545 | + | 0.193444i | |||||
0 | 0 | |||||||||
3.42694 | + | 1.11348i | 0.143791 | + | 0.0467207i | |||||
3.22890 | + | 9.93752i | 0.135362 | + | 0.416602i | 0.995646 | − | 0.0932129i | ||
−0.860284 | + | 0.509815i | ||||||||
0 | 0 | |||||||||
− | 21.2530i | − | 0.889409i | −0.895677 | − | 0.444704i | ||||
0.895677 | − | 0.444704i | ||||||||
−11.0581 | + | 14.6247i | −0.462364 | + | 0.611489i | |||||
0 | 0 | |||||||||
−3.41897 | − | 4.70580i | −0.142705 | − | 0.196416i | |||||
−2.74578 | + | 0.892157i | −0.114507 | + | 0.0372055i | |||||
0 | 0 | |||||||||
−12.6856 | − | 9.21665i | −0.528110 | − | 0.383694i | 0.291541 | − | 0.956558i | ||
−0.819650 | + | 0.572864i | ||||||||
0.597432 | + | 0.434060i | 0.0248499 | + | 0.0180545i | |||||
0 | 0 | |||||||||
−51.3477 | + | 16.6839i | −2.13210 | + | 0.692761i | |||||
12.5204 | + | 17.2328i | 0.519432 | + | 0.714937i | |||||
0 | 0 | |||||||||
−32.7694 | − | 11.3436i | −1.35717 | − | 0.469803i | |||||
− | 1.75664i | − | 0.0726903i | |||||||
0 | 0 | |||||||||
−1.62588 | − | 5.00395i | −0.0671646 | − | 0.206711i | |||||
19.1691 | + | 6.22843i | 0.791195 | + | 0.257075i | 0.676613 | − | 0.736339i | ||
0.114582 | + | 0.993414i | ||||||||
0 | 0 | |||||||||
−6.72441 | + | 9.25536i | −0.277075 | + | 0.381360i | |||||
−0.0213688 | + | 0.0657664i | −0.000879739 | + | 0.00270756i | |||||
0 | 0 | |||||||||
−17.4051 | + | 12.6455i | −0.715343 | + | 0.519727i | |||||
−40.5694 | −1.66599 | −0.832993 | − | 0.553284i | ||||||
−0.832993 | + | 0.553284i | ||||||||
0 | 0 | |||||||||
−35.4475 | −1.45320 | |||||||||
−8.85798 | + | 6.43570i | −0.362837 | + | 0.263617i | |||||
0 | 0 | |||||||||
−0.182768 | + | 0.562502i | −0.00747394 | + | 0.0230024i | |||||
6.42889 | − | 8.84861i | 0.262678 | − | 0.361545i | −0.657223 | − | 0.753696i | ||
0.919901 | + | 0.392151i | ||||||||
0 | 0 | |||||||||
15.5556 | + | 5.05433i | 0.634527 | + | 0.206170i | 0.608580 | − | 0.793493i | ||
0.0259478 | + | 0.999663i | ||||||||
2.53129 | + | 7.79050i | 0.103168 | + | 0.317517i | |||||
0 | 0 | |||||||||
17.7605i | 0.722665i | |||||||||
−17.8844 | − | 26.7032i | −0.727104 | − | 1.08564i | |||||
0 | 0 | |||||||||
−14.0272 | − | 19.3068i | −0.569348 | − | 0.783641i | 0.423129 | − | 0.906069i | ||
−0.992477 | + | 0.122429i | ||||||||
5.29755 | − | 1.72128i | 0.214844 | − | 0.0698070i | |||||
0 | 0 | |||||||||
−1.28561 | − | 0.934052i | −0.0520529 | − | 0.0378187i | |||||
−17.8330 | − | 12.9564i | −0.721445 | − | 0.524161i | |||||
0 | 0 | |||||||||
0.0461533 | − | 0.0149961i | 0.00186411 | − | 0.000605687i | −0.308085 | − | 0.951359i | ||
0.309949 | + | 0.950753i | ||||||||
2.23774 | + | 3.07999i | 0.0903080 | + | 0.124298i | |||||
0 | 0 | |||||||||
−5.15183 | − | 7.38332i | −0.207573 | − | 0.297482i | |||||
8.24561i | 0.331956i | 0.986129 | + | 0.165978i | ||||||
−0.986129 | + | 0.165978i | ||||||||
0 | 0 | |||||||||
−0.537464 | − | 1.65414i | −0.0216025 | − | 0.0664857i | 0.939674 | − | 0.342071i | ||
−0.961277 | + | 0.275585i | ||||||||
32.1968 | + | 10.4614i | 1.29305 | + | 0.420139i | |||||
0 | 0 | |||||||||
−0.307013 | + | 0.422567i | −0.0123101 | + | 0.0169434i | |||||
−1.73778 | + | 5.34834i | −0.0696227 | + | 0.214277i | |||||
0 | 0 | |||||||||
24.4126 | − | 17.7368i | 0.976506 | − | 0.709473i | |||||
6.30955 | 0.252180 | |||||||||
0 | 0 | |||||||||
5.91094 | 0.235872 | |||||||||
−21.4659 | + | 15.5959i | −0.855903 | + | 0.621850i | |||||
0 | 0 | |||||||||
−8.14182 | + | 25.0580i | −0.324121 | + | 0.997541i | 0.647715 | + | 0.761883i | ||
−0.971836 | + | 0.235659i | ||||||||
4.18580 | − | 5.76126i | 0.166502 | − | 0.229171i | |||||
0 | 0 | |||||||||
0.104400 | + | 0.0339216i | 0.00414625 | + | 0.00134720i | |||||
2.60303 | + | 8.01130i | 0.103298 | + | 0.317919i | |||||
0 | 0 | |||||||||
− | 1.12123i | − | 0.0444249i | |||||||
−6.40670 | − | 4.84429i | −0.253644 | − | 0.191787i | |||||
0 | 0 | |||||||||
−12.8409 | − | 17.6740i | −0.507582 | − | 0.698626i | |||||
8.27017 | − | 2.68714i | 0.326652 | − | 0.106136i | −0.141100 | − | 0.989995i | ||
0.467752 | + | 0.883860i | ||||||||
0 | 0 | |||||||||
17.4877 | + | 12.7055i | 0.689646 | + | 0.501057i | 0.876544 | − | 0.481322i | ||
−0.186897 | + | 0.982379i | ||||||||
3.47592 | + | 2.52540i | 0.136970 | + | 0.0995148i | |||||
0 | 0 | |||||||||
2.05744 | − | 0.668503i | 0.0809489 | − | 0.0263019i | |||||
17.2616 | + | 23.7586i | 0.678625 | + | 0.934048i | 0.999916 | − | 0.0129330i | ||
−0.321291 | + | 0.946980i | ||||||||
0 | 0 | |||||||||
0.296067 | − | 0.0899860i | 0.0116216 | − | 0.00353226i | |||||
2.56214i | 0.100495i | |||||||||
0 | 0 | |||||||||
−4.72806 | − | 14.5515i | −0.185165 | − | 0.569880i | |||||
22.5339 | + | 7.32170i | 0.881818 | + | 0.286520i | 0.714712 | − | 0.699419i | ||
0.167106 | + | 0.985939i | ||||||||
0 | 0 | |||||||||
3.60909 | − | 4.96749i | 0.141019 | − | 0.194096i | |||||
−9.42876 | + | 29.0187i | −0.368131 | + | 1.13299i | |||||
0 | 0 | |||||||||
4.30674 | − | 3.12903i | 0.167894 | − | 0.121982i | |||||
−34.5941 | −1.34759 | −0.673797 | − | 0.738916i | ||||||
−0.673797 | + | 0.738916i | ||||||||
0 | 0 | |||||||||
35.4913 | 1.38045 | 0.690225 | − | 0.723595i | ||||||
0.690225 | + | 0.723595i | ||||||||
−3.55229 | + | 2.58089i | −0.138064 | + | 0.100309i | |||||
0 | 0 | |||||||||
−2.41700 | + | 7.43877i | −0.0937979 | + | 0.288680i | |||||
−8.92385 | + | 12.2826i | −0.346052 | + | 0.476300i | |||||
0 | 0 | |||||||||
7.41211 | + | 2.40834i | 0.286998 | + | 0.0932513i | |||||
−9.83822 | − | 30.2789i | −0.380652 | − | 1.17153i | |||||
0 | 0 | |||||||||
1.04341i | 0.0403104i | |||||||||
−0.135765 | + | 7.10971i | −0.00524115 | + | 0.274467i | |||||
0 | 0 | |||||||||
−12.2854 | − | 16.9095i | −0.473569 | − | 0.651812i | 0.503684 | − | 0.863888i | ||
−0.977253 | + | 0.212076i | ||||||||
6.04715 | − | 1.96484i | 0.232928 | − | 0.0756827i | |||||
0 | 0 | |||||||||
7.58475 | + | 5.51064i | 0.291721 | + | 0.211948i | |||||
−19.6090 | − | 14.2468i | −0.753634 | − | 0.547547i | 0.143317 | − | 0.989677i | ||
−0.896951 | + | 0.442130i | ||||||||
0 | 0 | |||||||||
−4.31951 | + | 1.40350i | −0.165768 | + | 0.0538612i | |||||
−7.65068 | − | 10.5303i | −0.293390 | − | 0.403817i | |||||
0 | 0 | |||||||||
1.46458 | + | 4.81868i | 0.0560817 | + | 0.184517i | |||||
− | 17.6311i | − | 0.674636i | −0.941391 | − | 0.337318i | ||||
0.941391 | − | 0.337318i | ||||||||
0 | 0 | |||||||||
−4.58116 | − | 14.0994i | −0.175037 | − | 0.538709i | |||||
−4.33425 | − | 1.40828i | −0.165482 | − | 0.0537685i | |||||
0 | 0 | |||||||||
25.2565 | − | 34.7626i | 0.962896 | − | 1.32531i | |||||
9.22748 | − | 28.3993i | 0.351539 | − | 1.08193i | |||||
0 | 0 | |||||||||
−23.5718 | + | 17.1259i | −0.896713 | + | 0.651500i | −0.937620 | − | 0.347663i | ||
0.0409063 | + | 0.999163i | ||||||||
30.0459 | 1.14218 | |||||||||
0 | 0 | |||||||||
−5.29496 | −0.200994 | |||||||||
41.3272 | − | 30.0260i | 1.56763 | − | 1.13895i | |||||
0 | 0 | |||||||||
−11.6286 | + | 35.7893i | −0.440466 | + | 1.35562i | |||||
−2.68698 | + | 3.69831i | −0.101704 | + | 0.139983i | |||||
0 | 0 | |||||||||
17.7012 | + | 5.75148i | 0.669044 | + | 0.217385i | |||||
4.54301 | + | 13.9820i | 0.171587 | + | 0.528091i | 0.999461 | − | 0.0328229i | ||
−0.827874 | + | 0.560914i | ||||||||
0 | 0 | |||||||||
11.3642i | 0.428611i | |||||||||
−7.04848 | + | 20.3617i | −0.265649 | + | 0.767411i | |||||
0 | 0 | |||||||||
2.42974 | + | 3.34425i | 0.0914445 | + | 0.125863i | |||||
−23.3960 | + | 7.60182i | −0.879897 | + | 0.285896i | |||||
0 | 0 | |||||||||
−8.72312 | − | 6.33772i | −0.327604 | − | 0.238018i | 0.411810 | − | 0.911270i | ||
−0.739413 | + | 0.673252i | ||||||||
−2.16412 | − | 1.57233i | −0.0812180 | − | 0.0590083i | |||||
0 | 0 | |||||||||
−1.96388 | + | 0.638103i | −0.0735995 | + | 0.0239139i | |||||
−2.87241 | − | 3.95353i | −0.107572 | − | 0.148061i | |||||
0 | 0 | |||||||||
22.6961 | − | 15.8366i | 0.848785 | − | 0.592254i | |||||
− | 10.0448i | − | 0.375391i | |||||||
0 | 0 | |||||||||
1.94284 | + | 5.97944i | 0.0725060 | + | 0.223151i | |||||
−30.1960 | − | 9.81128i | −1.12612 | − | 0.365899i | −0.314020 | − | 0.949416i | ||
−0.812101 | + | 0.583517i | ||||||||
0 | 0 | |||||||||
−26.4860 | + | 36.4549i | −0.986390 | + | 1.35765i | |||||
−1.20309 | + | 3.70273i | −0.0447744 | + | 0.137801i | |||||
0 | 0 | |||||||||
8.31889 | − | 6.04403i | 0.309169 | − | 0.224625i | |||||
33.7614 | 1.25387 | |||||||||
0 | 0 | |||||||||
23.6418 | 0.876828 | 0.438414 | − | 0.898773i | ||||||
0.438414 | + | 0.898773i | ||||||||
6.27196 | − | 4.55685i | 0.232454 | − | 0.168888i | |||||
0 | 0 | |||||||||
−0.402984 | + | 1.24026i | −0.0149151 | + | 0.0459040i | |||||
31.1493 | − | 42.8733i | 1.15210 | − | 1.58573i | |||||
0 | 0 | |||||||||
15.6206 | + | 5.07543i | 0.576959 | + | 0.187465i | 0.582938 | − | 0.812517i | ||
−0.00597872 | + | 0.999982i | ||||||||
−0.701877 | − | 2.16016i | −0.0259068 | − | 0.0797328i | |||||
0 | 0 | |||||||||
2.37936i | 0.0877043i | |||||||||
3.82908 | − | 2.67181i | 0.141046 | − | 0.0984172i | |||||
0 | 0 | |||||||||
20.4813 | + | 28.1901i | 0.753417 | + | 1.03699i | 0.997733 | + | 0.0672942i | ||
−0.244316 | + | 0.969696i | ||||||||
31.9829 | − | 10.3919i | 1.17571 | − | 0.382013i | |||||
0 | 0 | |||||||||
5.83422 | + | 4.23881i | 0.214181 | + | 0.155611i | |||||
42.7101 | + | 31.0307i | 1.56688 | + | 1.13841i | 0.930068 | + | 0.367387i | ||
0.636813 | + | 0.771019i | ||||||||
0 | 0 | |||||||||
15.7180 | − | 5.10708i | 0.575862 | − | 0.187109i | |||||
−2.52001 | − | 3.46850i | −0.0922643 | − | 0.126991i | |||||
0 | 0 | |||||||||
−9.37077 | + | 27.0704i | −0.342629 | + | 0.989791i | |||||
19.3397i | 0.706657i | |||||||||
0 | 0 | |||||||||
15.8766 | + | 48.8631i | 0.579345 | + | 1.78304i | 0.620883 | + | 0.783903i | ||
−0.0415382 | + | 0.999137i | ||||||||
−26.5578 | − | 8.62917i | −0.968465 | − | 0.314673i | |||||
0 | 0 | |||||||||
4.06535 | − | 5.59548i | 0.148051 | − | 0.203775i | |||||
8.28421 | − | 25.4962i | 0.301493 | − | 0.927900i | |||||
0 | 0 | |||||||||
5.71877 | − | 4.15493i | 0.207852 | − | 0.151013i | −0.478989 | − | 0.877821i | ||
0.686841 | + | 0.726807i | ||||||||
−5.00521 | −0.181797 | |||||||||
0 | 0 | |||||||||
−5.57481 | −0.202219 | |||||||||
−23.5688 | + | 17.1238i | −0.854370 | + | 0.620736i | −0.926347 | − | 0.376670i | ||
0.0719775 | + | 0.997406i | ||||||||
0 | 0 | |||||||||
7.24287 | − | 22.2913i | 0.262210 | − | 0.806998i | |||||
12.4010 | − | 17.0685i | 0.448653 | − | 0.617517i | |||||
0 | 0 | |||||||||
1.20628 | + | 0.391945i | 0.0435847 | + | 0.0141615i | |||||
0.0823407 | + | 0.253419i | 0.00297315 | + | 0.00915042i | |||||
0 | 0 | |||||||||
− | 44.2408i | − | 1.59536i | −0.603079 | − | 0.797682i | ||||
0.603079 | − | 0.797682i | ||||||||
1.94362 | + | 6.39479i | 0.0700432 | + | 0.230452i | |||||
0 | 0 | |||||||||
17.4831 | + | 24.0634i | 0.629230 | + | 0.866061i | |||||
−38.0786 | + | 12.3725i | −1.36959 | + | 0.445007i | −0.899234 | − | 0.437468i | ||
−0.470358 | + | 0.882476i | ||||||||
0 | 0 | |||||||||
−17.1266 | − | 12.4432i | −0.615204 | − | 0.446972i | |||||
−1.34922 | − | 0.980265i | −0.0484341 | − | 0.0351895i | |||||
0 | 0 | |||||||||
−2.37723 | + | 0.772409i | −0.0852279 | + | 0.0276922i | |||||
9.47357 | + | 13.0393i | 0.339426 | + | 0.467180i | |||||
0 | 0 | |||||||||
−0.228538 | + | 11.9680i | −0.00817775 | + | 0.428250i | |||||
0.924086i | 0.0330453i | |||||||||
0 | 0 | |||||||||
−0.438933 | − | 1.35090i | −0.0156762 | − | 0.0482463i | |||||
−8.48547 | − | 2.75709i | −0.302859 | − | 0.0984049i | |||||
0 | 0 | |||||||||
−16.6720 | + | 22.9470i | −0.594292 | + | 0.817973i | −0.995171 | − | 0.0981579i | ||
0.400878 | + | 0.916131i | ||||||||
−4.33149 | + | 13.3309i | −0.154303 | + | 0.474895i | |||||
0 | 0 | |||||||||
−4.27701 | + | 3.10743i | −0.152169 | + | 0.110558i | |||||
31.0173 | 1.10285 | |||||||||
0 | 0 | |||||||||
−6.12332 | −0.217446 | |||||||||
−3.90435 | + | 2.83668i | −0.138560 | + | 0.100670i | |||||
0 | 0 | |||||||||
6.80249 | − | 20.9359i | 0.241108 | − | 0.742054i | |||||
−8.78371 | + | 12.0897i | −0.311135 | + | 0.428241i | −0.935735 | − | 0.352704i | ||
0.624600 | + | 0.780945i | ||||||||
0 | 0 | |||||||||
−32.7542 | − | 10.6425i | −1.15876 | − | 0.376504i | |||||
3.18513 | + | 9.80283i | 0.112611 | + | 0.346582i | |||||
0 | 0 | |||||||||
− | 7.78923i | − | 0.275047i | |||||||
5.58339 | − | 1.69700i | 0.197034 | − | 0.0598860i | |||||
0 | 0 | |||||||||
−3.81192 | − | 5.24666i | −0.134352 | − | 0.184920i | |||||
−4.12456 | + | 1.34015i | −0.145281 | + | 0.0472048i | |||||
0 | 0 | |||||||||
−7.30784 | − | 5.30946i | −0.257089 | − | 0.186786i | |||||
−24.0892 | − | 17.5019i | −0.846933 | − | 0.615333i | 0.0773660 | − | 0.997003i | ||
−0.924299 | + | 0.381670i | ||||||||
0 | 0 | |||||||||
41.9856 | − | 13.6420i | 1.47432 | − | 0.479034i | 0.541906 | − | 0.840439i | ||
0.932409 | + | 0.361405i | ||||||||
−29.5320 | − | 40.6473i | −1.03637 | − | 1.42644i | |||||
0 | 0 | |||||||||
3.99053 | + | 3.01735i | 0.139868 | + | 0.105758i | |||||
23.0948i | 0.808975i | |||||||||
0 | 0 | |||||||||
−7.01391 | − | 21.5866i | −0.245386 | − | 0.755220i | |||||
−2.86459 | − | 0.930761i | −0.100158 | − | 0.0325433i | |||||
0 | 0 | |||||||||
28.0340 | − | 38.5854i | 0.978988 | − | 1.34746i | |||||
1.23760 | − | 3.80893i | 0.0431924 | − | 0.132933i | −0.927135 | − | 0.374728i | ||
0.970327 | + | 0.241795i | ||||||||
0 | 0 | |||||||||
−34.1262 | + | 24.7941i | −1.18956 | + | 0.864268i | −0.993218 | − | 0.116266i | ||
−0.196345 | + | 0.980535i | ||||||||
−16.5460 | −0.576409 | |||||||||
0 | 0 | |||||||||
−0.0643512 | −0.00223906 | |||||||||
21.5183 | − | 15.6340i | 0.748266 | − | 0.543647i | −0.147023 | − | 0.989133i | ||
0.895289 | + | 0.445486i | ||||||||
0 | 0 | |||||||||
3.77976 | − | 11.6329i | 0.131276 | − | 0.404027i | −0.863716 | − | 0.503979i | ||
0.994992 | + | 0.0999518i | ||||||||
3.41300 | − | 4.69759i | 0.118467 | − | 0.163056i | |||||
0 | 0 | |||||||||
−17.6463 | − | 5.73362i | −0.611774 | − | 0.198777i | |||||
−0.541343 | − | 1.66608i | −0.0187564 | − | 0.0577264i | |||||
0 | 0 | |||||||||
48.0560i | 1.66305i | |||||||||
7.02087 | + | 10.0619i | 0.242822 | + | 0.347999i | |||||
0 | 0 | |||||||||
1.50045 | + | 2.06519i | 0.0518321 | + | 0.0713408i | |||||
9.17434 | − | 2.98092i | 0.316733 | − | 0.102913i | −0.146336 | − | 0.989235i | ||
0.463069 | + | 0.886322i | ||||||||
0 | 0 | |||||||||
−50.2704 | − | 36.5236i | −1.73346 | − | 1.25943i | |||||
−1.28401 | − | 0.932887i | −0.0442498 | − | 0.0321494i | |||||
0 | 0 | |||||||||
6.80810 | − | 2.21209i | 0.234345 | − | 0.0761432i | |||||
−8.31793 | − | 11.4486i | −0.286146 | − | 0.393846i | |||||
0 | 0 | |||||||||
18.4906 | − | 23.5075i | 0.635344 | − | 0.807727i | |||||
− | 37.8287i | − | 1.29904i | |||||||
0 | 0 | |||||||||
1.23703 | + | 3.80718i | 0.0424298 | + | 0.130585i | |||||
−4.61677 | − | 1.50008i | −0.158261 | − | 0.0514221i | |||||
0 | 0 | |||||||||
−6.89976 | + | 9.49670i | −0.236243 | + | 0.325161i | −0.910634 | − | 0.413214i | ||
0.674391 | + | 0.738374i | ||||||||
0.456976 | − | 1.40643i | 0.0156374 | − | 0.0481270i | |||||
0 | 0 | |||||||||
−5.74518 | + | 4.17412i | −0.196366 | + | 0.142668i | |||||
48.7738 | 1.66608 | 0.833041 | − | 0.553212i | ||||||
0.833041 | + | 0.553212i | ||||||||
0 | 0 | |||||||||
−31.0880 | −1.06071 | −0.530355 | − | 0.847776i | ||||||
−0.530355 | + | 0.847776i | ||||||||
−54.3383 | + | 39.4791i | −1.85292 | + | 1.34623i | |||||
0 | 0 | |||||||||
1.53952 | − | 4.73815i | 0.0524362 | − | 0.161382i | |||||
−30.6459 | + | 42.1805i | −1.04320 | + | 1.43584i | −0.148641 | + | 0.988891i | ||
−0.894559 | + | 0.446950i | ||||||||
0 | 0 | |||||||||
−43.1325 | − | 14.0146i | −1.46655 | − | 0.476511i | |||||
−2.45274 | − | 7.54876i | −0.0833475 | − | 0.256517i | |||||
0 | 0 | |||||||||
31.5040i | 1.06931i | |||||||||
22.3556 | + | 7.73868i | 0.758361 | + | 0.262517i | |||||
0 | 0 | |||||||||
2.36324 | + | 3.25272i | 0.0800753 | + | 0.110214i | |||||
8.18523 | − | 2.65954i | 0.277187 | − | 0.0900635i | |||||
0 | 0 | |||||||||
0.320198 | + | 0.232637i | 0.0108309 | + | 0.00786907i | |||||
9.40572 | + | 6.83366i | 0.317971 | + | 0.231020i | |||||
0 | 0 | |||||||||
16.1564 | − | 5.24952i | 0.545561 | − | 0.177264i | −0.0232530 | − | 0.999730i | ||
0.568814 | + | 0.822466i | ||||||||
3.01098 | + | 4.14426i | 0.101616 | + | 0.139862i | |||||
0 | 0 | |||||||||
21.1454 | − | 27.9653i | 0.712810 | − | 0.942710i | |||||
50.3115i | 1.69504i | 0.530765 | + | 0.847519i | ||||||
−0.530765 | + | 0.847519i | ||||||||
0 | 0 | |||||||||
4.44037 | + | 13.6660i | 0.149430 | + | 0.459899i | 0.997554 | − | 0.0698990i | ||
−0.848124 | + | 0.529798i | ||||||||
−23.4603 | − | 7.62270i | −0.789054 | − | 0.256379i | |||||
0 | 0 | |||||||||
−3.63341 | + | 5.00096i | −0.122067 | + | 0.168011i | |||||
−12.7625 | + | 39.2790i | −0.428523 | + | 1.31886i | 0.471057 | + | 0.882103i | ||
−0.899580 | + | 0.436756i | ||||||||
0 | 0 | |||||||||
−6.34181 | + | 4.60760i | −0.212698 | + | 0.154534i | |||||
1.53296 | 0.0513851 | |||||||||
0 | 0 | |||||||||
0.548221 | 0.0183558 | |||||||||
−11.9335 | + | 8.67018i | −0.399339 | + | 0.290136i | |||||
0 | 0 | |||||||||
−4.68529 | + | 14.4198i | −0.156612 | + | 0.482002i | |||||
11.9496 | − | 16.4473i | 0.399209 | − | 0.549465i | |||||
0 | 0 | |||||||||
−0.796620 | − | 0.258838i | −0.0265836 | − | 0.00863752i | |||||
17.6592 | + | 54.3495i | 0.588968 | + | 1.81266i | |||||
0 | 0 | |||||||||
− | 46.6547i | − | 1.55429i | |||||||
7.09406 | + | 0.135466i | 0.236206 | + | 0.00451053i | |||||
0 | 0 | |||||||||
6.69450 | + | 9.21419i | 0.222656 | + | 0.306460i | |||||
−14.7614 | + | 4.79627i | −0.490685 | + | 0.159433i | |||||
0 | 0 | |||||||||
21.1288 | + | 15.3510i | 0.701571 | + | 0.509721i | 0.880444 | − | 0.474151i | ||
−0.178872 | + | 0.983872i | ||||||||
28.5883 | + | 20.7706i | 0.948738 | + | 0.689298i | |||||
0 | 0 | |||||||||
−5.47363 | + | 1.77849i | −0.181449 | + | 0.0589563i | |||||
−26.6929 | − | 36.7397i | −0.884377 | − | 1.21724i | −0.975189 | − | 0.221372i | ||
0.0908128 | − | 0.995868i | ||||||||
0 | 0 | |||||||||
−25.9787 | − | 0.496082i | −0.859769 | − | 0.0164179i | |||||
3.96175i | 0.131043i | |||||||||
0 | 0 | |||||||||
−15.7767 | − | 48.5555i | −0.521275 | − | 1.60432i | |||||
5.43431 | + | 1.76572i | 0.179457 | + | 0.0583091i | |||||
0 | 0 | |||||||||
−16.3737 | + | 22.5365i | −0.540119 | + | 0.743410i | −0.988630 | − | 0.150367i | ||
0.448511 | + | 0.893777i | ||||||||
0.735874 | − | 2.26479i | 0.0242610 | − | 0.0746678i | |||||
0 | 0 | |||||||||
7.50486 | − | 5.45260i | 0.247160 | − | 0.179572i | |||||
−10.3076 | −0.339280 | |||||||||
0 | 0 | |||||||||
−21.0289 | −0.691427 | |||||||||
0.914353 | − | 0.664317i | 0.0300475 | − | 0.0218308i | |||||
0 | 0 | |||||||||
8.59813 | − | 26.4623i | 0.282248 | − | 0.868669i | |||||
−29.2450 | + | 40.2523i | −0.959497 | + | 1.32063i | −0.0123191 | + | 0.999924i | ||
−0.947178 | + | 0.320710i | ||||||||
0 | 0 | |||||||||
−0.713584 | − | 0.231857i | −0.0233868 | − | 0.00759882i | |||||
−6.46131 | − | 19.8859i | −0.211647 | − | 0.651384i | |||||
0 | 0 | |||||||||
− | 10.5597i | − | 0.345524i | |||||||
26.0789 | − | 34.4901i | 0.852872 | − | 1.12795i | |||||
0 | 0 | |||||||||
11.9943 | + | 16.5087i | 0.391837 | + | 0.539317i | 0.958672 | − | 0.284514i | ||
−0.566835 | + | 0.823831i | ||||||||
−0.923462 | + | 0.300051i | −0.0301521 | + | 0.00979702i | |||||
0 | 0 | |||||||||
35.3132 | + | 25.6566i | 1.15179 | + | 0.836825i | |||||
−14.1929 | − | 10.3117i | −0.462675 | − | 0.336153i | 0.331904 | − | 0.943313i | ||
−0.794580 | + | 0.607160i | ||||||||
0 | 0 | |||||||||
−6.54776 | + | 2.12750i | −0.213224 | + | 0.0692808i | |||||
0.198413 | + | 0.273093i | 0.00645781 | + | 0.00888841i | |||||
0 | 0 | |||||||||
−9.44237 | − | 3.26860i | −0.306998 | − | 0.106271i | |||||
− | 47.0672i | − | 1.52948i | −0.644340 | − | 0.764739i | ||||
0.644340 | − | 0.764739i | ||||||||
0 | 0 | |||||||||
1.55283 | + | 4.77911i | 0.0504069 | + | 0.155136i | |||||
1.63062 | + | 0.529820i | 0.0529042 | + | 0.0171896i | |||||
0 | 0 | |||||||||
7.11966 | − | 9.79937i | 0.230749 | − | 0.317599i | |||||
15.9545 | − | 49.1029i | 0.516817 | − | 1.59060i | −0.263136 | − | 0.964759i | ||
0.779952 | − | 0.625839i | ||||||||
0 | 0 | |||||||||
−25.7637 | + | 18.7185i | −0.833695 | + | 0.605715i | |||||
14.3689 | 0.464725 | |||||||||
0 | 0 | |||||||||
−0.893318 | −0.0288618 | |||||||||
11.1612 | − | 8.10907i | 0.360413 | − | 0.261855i | |||||
0 | 0 | |||||||||
1.49341 | − | 4.59623i | 0.0481744 | − | 0.148266i | |||||
−2.53218 | + | 3.48525i | −0.0816408 | + | 0.112369i | |||||
0 | 0 | |||||||||
4.91289 | + | 1.59629i | 0.158233 | + | 0.0514132i | |||||
−13.8738 | − | 42.6991i | −0.446613 | − | 1.37453i | |||||
0 | 0 | |||||||||
− | 33.6964i | − | 1.08360i | −0.840506 | − | 0.541802i | ||||
0.840506 | − | 0.541802i | ||||||||
10.9741 | + | 0.419271i | 0.352722 | + | 0.0134759i | |||||
0 | 0 | |||||||||
0.727724 | + | 1.00163i | 0.0233658 | + | 0.0321603i | |||||
−53.1467 | + | 17.2684i | −1.70556 | + | 0.554170i | −0.989584 | − | 0.143955i | ||
−0.715976 | + | 0.698125i | ||||||||
0 | 0 | |||||||||
38.4588 | + | 27.9419i | 1.23293 | + | 0.895777i | |||||
6.54684 | + | 4.75656i | 0.209774 | + | 0.152410i | |||||
0 | 0 | |||||||||
−7.37757 | + | 2.39712i | −0.236150 | + | 0.0767299i | |||||
−12.1432 | − | 16.7137i | −0.388496 | − | 0.534719i | 0.569314 | − | 0.822120i | ||
−0.957810 | + | 0.287401i | ||||||||
0 | 0 | |||||||||
−3.92539 | − | 5.62565i | −0.125456 | − | 0.179797i | |||||
2.22029i | 0.0709245i | |||||||||
0 | 0 | |||||||||
1.91422 | + | 5.89137i | 0.0610853 | + | 0.188001i | |||||
47.6740 | + | 15.4902i | 1.52056 | + | 0.494061i | 0.945936 | − | 0.324354i | ||
0.574628 | + | 0.818415i | ||||||||
0 | 0 | |||||||||
12.4362 | − | 17.1169i | 0.396249 | − | 0.545390i | |||||
3.33931 | − | 10.2773i | 0.106345 | − | 0.327297i | |||||
0 | 0 | |||||||||
−8.54737 | + | 6.21003i | −0.271928 | + | 0.197567i | |||||
9.69548 | 0.308298 | |||||||||
0 | 0 | |||||||||
45.3068 | 1.43922 | 0.719609 | − | 0.694379i | ||||||
0.719609 | + | 0.694379i | ||||||||
−14.1147 | + | 10.2549i | −0.448141 | + | 0.325594i | |||||
0 | 0 | |||||||||
0.769246 | − | 2.36750i | 0.0243990 | − | 0.0750924i | |||||
−19.5307 | + | 26.8817i | −0.619164 | + | 0.852206i | |||||
0 | 0 | |||||||||
9.77676 | + | 3.17666i | 0.309633 | + | 0.100606i | 0.459712 | − | 0.888068i | ||
−0.150079 | + | 0.988674i | ||||||||
1.82407 | + | 5.61392i | 0.0577400 | + | 0.177705i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 99.2.j.a.8.3 | yes | 16 | |
3.2 | odd | 2 | inner | 99.2.j.a.8.2 | ✓ | 16 | |
4.3 | odd | 2 | 1584.2.cd.c.305.3 | 16 | |||
9.2 | odd | 6 | 891.2.u.c.701.3 | 32 | |||
9.4 | even | 3 | 891.2.u.c.107.3 | 32 | |||
9.5 | odd | 6 | 891.2.u.c.107.2 | 32 | |||
9.7 | even | 3 | 891.2.u.c.701.2 | 32 | |||
11.2 | odd | 10 | 1089.2.d.g.1088.10 | 16 | |||
11.7 | odd | 10 | inner | 99.2.j.a.62.2 | yes | 16 | |
11.9 | even | 5 | 1089.2.d.g.1088.8 | 16 | |||
12.11 | even | 2 | 1584.2.cd.c.305.2 | 16 | |||
33.2 | even | 10 | 1089.2.d.g.1088.7 | 16 | |||
33.20 | odd | 10 | 1089.2.d.g.1088.9 | 16 | |||
33.29 | even | 10 | inner | 99.2.j.a.62.3 | yes | 16 | |
44.7 | even | 10 | 1584.2.cd.c.161.2 | 16 | |||
99.7 | odd | 30 | 891.2.u.c.458.2 | 32 | |||
99.29 | even | 30 | 891.2.u.c.458.3 | 32 | |||
99.40 | odd | 30 | 891.2.u.c.755.3 | 32 | |||
99.95 | even | 30 | 891.2.u.c.755.2 | 32 | |||
132.95 | odd | 10 | 1584.2.cd.c.161.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.j.a.8.2 | ✓ | 16 | 3.2 | odd | 2 | inner | |
99.2.j.a.8.3 | yes | 16 | 1.1 | even | 1 | trivial | |
99.2.j.a.62.2 | yes | 16 | 11.7 | odd | 10 | inner | |
99.2.j.a.62.3 | yes | 16 | 33.29 | even | 10 | inner | |
891.2.u.c.107.2 | 32 | 9.5 | odd | 6 | |||
891.2.u.c.107.3 | 32 | 9.4 | even | 3 | |||
891.2.u.c.458.2 | 32 | 99.7 | odd | 30 | |||
891.2.u.c.458.3 | 32 | 99.29 | even | 30 | |||
891.2.u.c.701.2 | 32 | 9.7 | even | 3 | |||
891.2.u.c.701.3 | 32 | 9.2 | odd | 6 | |||
891.2.u.c.755.2 | 32 | 99.95 | even | 30 | |||
891.2.u.c.755.3 | 32 | 99.40 | odd | 30 | |||
1089.2.d.g.1088.7 | 16 | 33.2 | even | 10 | |||
1089.2.d.g.1088.8 | 16 | 11.9 | even | 5 | |||
1089.2.d.g.1088.9 | 16 | 33.20 | odd | 10 | |||
1089.2.d.g.1088.10 | 16 | 11.2 | odd | 10 | |||
1584.2.cd.c.161.2 | 16 | 44.7 | even | 10 | |||
1584.2.cd.c.161.3 | 16 | 132.95 | odd | 10 | |||
1584.2.cd.c.305.2 | 16 | 12.11 | even | 2 | |||
1584.2.cd.c.305.3 | 16 | 4.3 | odd | 2 |