Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(53,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 91.e (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 | 53.2 | ||
Root | of defining polynomial | ||
Character | 91.53 | ||
Dual form | 91.2.e.c.79.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.10666 | − | 1.91679i | −0.782527 | − | 1.35538i | −0.930465 | − | 0.366381i | ||
0.147938 | − | 0.988997i | ||||||||
−1.23721 | + | 2.14292i | −0.714306 | + | 1.23721i | 0.248921 | + | 0.968524i | ||
−0.963227 | + | 0.268690i | ||||||||
−1.44940 | + | 2.51043i | −0.724699 | + | 1.25521i | |||||
1.06140 | + | 1.83839i | 0.474671 | + | 0.822155i | 0.999579 | − | 0.0290040i | ||
−0.524908 | + | 0.851159i | ||||||||
5.47671 | 2.23586 | |||||||||
2.63169 | + | 0.272389i | 0.994686 | + | 0.102953i | |||||
1.98932 | 0.703331 | |||||||||
−1.56140 | − | 2.70442i | −0.520466 | − | 0.901473i | |||||
2.34921 | − | 4.06896i | 0.742887 | − | 1.28672i | |||||
−2.39448 | + | 4.14736i | −0.721962 | + | 1.25048i | 0.238250 | + | 0.971204i | ||
−0.960212 | + | 0.279272i | ||||||||
−3.58643 | − | 6.21188i | −1.03531 | − | 1.79321i | |||||
1.00000 | 0.277350 | |||||||||
−2.39028 | − | 5.34585i | −0.638829 | − | 1.42874i | |||||
−5.25271 | −1.35624 | |||||||||
0.697291 | + | 1.20774i | 0.174323 | + | 0.301936i | |||||
1.88914 | − | 3.27208i | 0.458183 | − | 0.793597i | −0.540682 | − | 0.841227i | ||
0.998865 | + | 0.0476304i | ||||||||
−3.45588 | + | 5.98575i | −0.814558 | + | 1.41086i | |||||
1.78362 | + | 3.08931i | 0.409190 | + | 0.708737i | 0.994799 | − | 0.101856i | ||
−0.585609 | + | 0.810593i | ||||||||
−6.15355 | −1.37597 | |||||||||
−3.83967 | + | 5.30250i | −0.837886 | + | 1.15710i | |||||
10.5995 | 2.25982 | |||||||||
−2.23721 | − | 3.87497i | −0.466491 | − | 0.807987i | 0.532776 | − | 0.846256i | ||
−0.999267 | + | 0.0382695i | ||||||||
−2.46122 | + | 4.26295i | −0.502394 | + | 0.870171i | |||||
0.246870 | − | 0.427591i | 0.0493740 | − | 0.0855182i | |||||
−1.10666 | − | 1.91679i | −0.217034 | − | 0.375914i | |||||
0.303848 | 0.0584757 | |||||||||
−4.49818 | + | 6.21188i | −0.850076 | + | 1.17393i | |||||
−5.90107 | −1.09580 | −0.547901 | − | 0.836543i | ||||||
−0.547901 | + | 0.836543i | ||||||||
5.81296 | + | 10.0683i | 1.06130 | + | 1.83822i | |||||
1.88558 | − | 3.26592i | 0.338660 | − | 0.586577i | −0.645521 | − | 0.763743i | ||
0.984181 | + | 0.177166i | ||||||||
3.53265 | − | 6.11873i | 0.624490 | − | 1.08165i | |||||
−5.92496 | − | 10.2623i | −1.03140 | − | 1.78644i | |||||
−8.36254 | −1.43416 | |||||||||
2.29251 | + | 5.12720i | 0.387505 | + | 0.866655i | |||||
9.05234 | 1.50872 | |||||||||
−2.81285 | − | 4.87200i | −0.462429 | − | 0.800951i | 0.536652 | − | 0.843804i | ||
−0.999081 | + | 0.0428524i | ||||||||
3.94772 | − | 6.83765i | 0.640404 | − | 1.10921i | |||||
−1.23721 | + | 2.14292i | −0.198113 | + | 0.343141i | |||||
2.11146 | + | 3.65716i | 0.333851 | + | 0.578247i | |||||
10.3948 | 1.62340 | 0.811698 | − | 0.584077i | ||||||
0.811698 | + | 0.584077i | ||||||||
14.4130 | + | 1.49180i | 2.22398 | + | 0.230189i | |||||
3.40733 | 0.519613 | 0.259807 | − | 0.965661i | ||||||
0.259807 | + | 0.965661i | ||||||||
−6.94110 | − | 12.0223i | −1.04641 | − | 1.81244i | |||||
3.31453 | − | 5.74093i | 0.494101 | − | 0.855807i | |||||
−4.95168 | + | 8.57655i | −0.730085 | + | 1.26454i | |||||
3.55438 | + | 6.15636i | 0.518459 | + | 0.897998i | 0.999770 | + | 0.0214479i | ||
−0.481311 | + | 0.876550i | ||||||||
−3.45079 | −0.498079 | |||||||||
6.85161 | + | 1.43369i | 0.978801 | + | 0.204813i | |||||
−1.09280 | −0.154546 | |||||||||
4.67454 | + | 8.09654i | 0.654566 | + | 1.13374i | |||||
−1.44940 | + | 2.51043i | −0.200995 | + | 0.348134i | |||||
6.19003 | − | 10.7214i | 0.850266 | − | 1.47270i | −0.0307027 | − | 0.999529i | ||
0.880968 | − | 0.473175i | ||||||||
−0.336257 | − | 0.582415i | −0.0457588 | − | 0.0792566i | |||||
−10.1660 | −1.37078 | |||||||||
5.23528 | + | 0.541869i | 0.699594 | + | 0.0724103i | |||||
−8.82686 | −1.16915 | |||||||||
6.53049 | + | 11.3111i | 0.857495 | + | 1.48522i | |||||
−2.39448 | + | 4.14736i | −0.311734 | + | 0.539940i | −0.978738 | − | 0.205115i | ||
0.667003 | + | 0.745055i | ||||||||
7.61326 | − | 13.1865i | 0.982867 | − | 1.70238i | |||||
−1.60348 | − | 2.77732i | −0.205305 | − | 0.355599i | 0.744925 | − | 0.667148i | ||
−0.950230 | + | 0.311550i | ||||||||
−8.34680 | −1.06004 | |||||||||
−3.37246 | − | 7.54251i | −0.424890 | − | 0.950267i | |||||
−12.8486 | −1.60608 | |||||||||
1.06140 | + | 1.83839i | 0.131650 | + | 0.228025i | |||||
−13.1139 | + | 22.7139i | −1.61420 | + | 2.79588i | |||||
1.44978 | − | 2.51109i | 0.177118 | − | 0.306778i | −0.763774 | − | 0.645484i | ||
0.940892 | + | 0.338706i | ||||||||
5.47622 | + | 9.48510i | 0.664090 | + | 1.15024i | |||||
11.0717 | 1.33287 | |||||||||
7.29075 | − | 10.0683i | 0.871411 | − | 1.20340i | |||||
−2.53876 | −0.301295 | −0.150648 | − | 0.988588i | ||||||
−0.150648 | + | 0.988588i | ||||||||
−3.10612 | − | 5.37996i | −0.366060 | − | 0.634034i | |||||
−3.85035 | + | 6.66901i | −0.450650 | + | 0.780548i | −0.998426 | − | 0.0560762i | ||
0.547777 | + | 0.836625i | ||||||||
−6.22574 | + | 10.7833i | −0.723727 | + | 1.25353i | |||||
0.610862 | + | 1.05804i | 0.0705362 | + | 0.122172i | |||||
−10.3407 | −1.18616 | |||||||||
−7.43122 | + | 10.2623i | −0.846867 | + | 1.16950i | |||||
5.47671 | 0.620115 | |||||||||
2.58925 | + | 4.48471i | 0.291313 | + | 0.504569i | 0.974120 | − | 0.226029i | ||
−0.682807 | + | 0.730598i | ||||||||
−1.48021 | + | 2.56379i | −0.165492 | + | 0.286641i | |||||
4.30827 | − | 7.46214i | 0.478696 | − | 0.829126i | |||||
−11.5035 | − | 19.9247i | −1.27035 | − | 2.20032i | |||||
3.46731 | 0.380587 | 0.190294 | − | 0.981727i | ||||||
0.190294 | + | 0.981727i | ||||||||
−7.74633 | − | 17.3247i | −0.845194 | − | 1.89027i | |||||
8.02051 | 0.869946 | |||||||||
−3.77076 | − | 6.53115i | −0.406612 | − | 0.704272i | |||||
7.30089 | − | 12.6455i | 0.782738 | − | 1.35574i | |||||
−4.76338 | + | 8.25042i | −0.507778 | + | 0.879498i | |||||
−1.83216 | − | 3.17339i | −0.194209 | − | 0.336379i | 0.752432 | − | 0.658670i | ||
−0.946641 | + | 0.322291i | ||||||||
−14.6722 | −1.54659 | |||||||||
2.63169 | + | 0.272389i | 0.275876 | + | 0.0285541i | |||||
12.9704 | 1.35226 | |||||||||
4.66574 | + | 8.08129i | 0.483814 | + | 0.837991i | |||||
7.86698 | − | 13.6260i | 0.811417 | − | 1.40542i | |||||
−3.78625 | + | 6.55798i | −0.388461 | + | 0.672835i | |||||
8.74129 | + | 15.1404i | 0.892154 | + | 1.54526i | |||||
−5.40733 | −0.549031 | −0.274516 | − | 0.961583i | ||||||
−0.274516 | + | 0.961583i | ||||||||
−4.83432 | − | 14.7197i | −0.488340 | − | 1.48692i | |||||
14.9549 | 1.50303 | |||||||||
0.715625 | + | 1.23950i | 0.0715625 | + | 0.123950i | |||||
−4.65862 | + | 8.06897i | −0.463550 | + | 0.802892i | −0.999135 | − | 0.0415891i | ||
0.535585 | + | 0.844482i | ||||||||
10.3463 | − | 17.9202i | 1.02443 | − | 1.77437i | |||||
−3.65318 | − | 6.32749i | −0.359958 | − | 0.623466i | 0.627995 | − | 0.778217i | ||
−0.987953 | + | 0.154751i | ||||||||
1.98932 | 0.195069 | |||||||||
−13.8235 | − | 1.43078i | −1.34904 | − | 0.139630i | |||||
−27.4011 | −2.66143 | |||||||||
−3.37365 | − | 5.84333i | −0.326143 | − | 0.564896i | 0.655600 | − | 0.755108i | ||
−0.981743 | + | 0.190212i | ||||||||
−0.440397 | + | 0.762790i | −0.0423772 | + | 0.0733995i | |||||
−2.08822 | + | 3.61691i | −0.200016 | + | 0.346437i | −0.948533 | − | 0.316678i | ||
0.748518 | + | 0.663115i | ||||||||
11.2503 | + | 19.4861i | 1.07267 | + | 1.85792i | |||||
13.9204 | 1.32126 | |||||||||
1.50608 | + | 3.36834i | 0.142311 | + | 0.318278i | |||||
5.90107 | 0.555126 | 0.277563 | − | 0.960707i | ||||||
0.277563 | + | 0.960707i | ||||||||
9.76834 | + | 16.9193i | 0.914889 | + | 1.58463i | |||||
4.74915 | − | 8.22577i | 0.442860 | − | 0.767057i | |||||
8.55300 | − | 14.8142i | 0.794126 | − | 1.37547i | |||||
−1.56140 | − | 2.70442i | −0.144351 | − | 0.250024i | |||||
10.5995 | 0.975763 | |||||||||
5.86291 | − | 8.09654i | 0.537452 | − | 0.742208i | |||||
−10.4493 | −0.953888 | |||||||||
−5.96705 | − | 10.3352i | −0.542459 | − | 0.939567i | |||||
−3.54903 | + | 6.14709i | −0.321314 | + | 0.556532i | |||||
−12.8606 | + | 22.2752i | −1.15960 | + | 2.00849i | |||||
5.46591 | + | 9.46724i | 0.490853 | + | 0.850183i | |||||
11.6621 | 1.04309 | |||||||||
−10.7253 | + | 14.8113i | −0.955482 | + | 1.31950i | |||||
−10.5268 | −0.934100 | −0.467050 | − | 0.884231i | ||||||
−0.467050 | + | 0.884231i | ||||||||
7.15377 | + | 12.3907i | 0.632309 | + | 1.09519i | |||||
−4.21560 | + | 7.30163i | −0.371163 | + | 0.642873i | |||||
2.34921 | − | 4.06896i | 0.206040 | − | 0.356871i | |||||
−2.71204 | − | 4.69740i | −0.236952 | − | 0.410413i | 0.722886 | − | 0.690967i | ||
−0.959838 | + | 0.280554i | ||||||||
34.3505 | 2.98983 | |||||||||
3.85243 | + | 8.61596i | 0.334048 | + | 0.747099i | |||||
−6.41765 | −0.554400 | |||||||||
0.322504 | + | 0.558593i | 0.0277567 | + | 0.0480761i | |||||
3.75810 | − | 6.50922i | 0.322255 | − | 0.558161i | |||||
−11.1224 | + | 19.2645i | −0.950248 | + | 1.64588i | −0.205363 | + | 0.978686i | ||
−0.744886 | + | 0.667192i | ||||||||
−12.2526 | − | 21.2221i | −1.04301 | − | 1.80654i | |||||
−4.00000 | −0.339276 | −0.169638 | − | 0.985506i | ||||||
−0.169638 | + | 0.985506i | ||||||||
−16.1942 | − | 1.67616i | −1.36866 | − | 0.141661i | |||||
−17.5901 | −1.48135 | |||||||||
2.80955 | + | 4.86628i | 0.235772 | + | 0.408369i | |||||
−2.39448 | + | 4.14736i | −0.200236 | + | 0.346819i | |||||
2.17750 | − | 3.77153i | 0.181458 | − | 0.314294i | |||||
−6.26338 | − | 10.8485i | −0.520146 | − | 0.900919i | |||||
17.0441 | 1.41058 | |||||||||
−11.5492 | + | 12.9087i | −0.952561 | + | 1.06469i | |||||
16.3077 | 1.34049 | |||||||||
−1.47736 | − | 2.55887i | −0.121030 | − | 0.209630i | 0.799144 | − | 0.601140i | ||
−0.920174 | + | 0.391509i | ||||||||
1.35203 | − | 2.34179i | 0.110393 | − | 0.191206i | |||||
9.27736 | − | 16.0689i | 0.754981 | − | 1.30766i | −0.190403 | − | 0.981706i | ||
0.945384 | − | 0.325959i | ||||||||
3.54818 | + | 6.14564i | 0.287796 | + | 0.498477i | |||||
−11.7988 | −0.953875 | |||||||||
27.8946 | + | 2.88719i | 2.24781 | + | 0.232656i | |||||
8.00541 | 0.643010 | |||||||||
−3.58643 | − | 6.21188i | −0.287144 | − | 0.497348i | |||||
4.89982 | − | 8.48673i | 0.391048 | − | 0.677315i | −0.601540 | − | 0.798843i | ||
0.992588 | + | 0.121528i | ||||||||
5.73084 | − | 9.92610i | 0.455921 | − | 0.789678i | |||||
15.3168 | + | 26.5294i | 1.21470 | + | 2.10392i | |||||
14.9982 | 1.18571 | |||||||||
−4.83216 | − | 10.8071i | −0.380828 | − | 0.851720i | |||||
−19.0712 | −1.49837 | |||||||||
−6.91709 | − | 11.9808i | −0.541788 | − | 0.938405i | −0.998801 | − | 0.0489451i | ||
0.457013 | − | 0.889460i | ||||||||
−15.0662 | + | 26.0954i | −1.17647 | + | 2.03771i | |||||
12.5775 | − | 21.7848i | 0.979156 | − | 1.69595i | |||||
−3.83714 | − | 6.64612i | −0.297820 | − | 0.515839i | |||||
17.3534 | 1.34285 | 0.671424 | − | 0.741073i | ||||||
0.671424 | + | 0.741073i | ||||||||
−7.63834 | + | 10.5484i | −0.589311 | + | 0.813824i | |||||
1.00000 | 0.0769231 | |||||||||
−8.87598 | − | 15.3737i | −0.680757 | − | 1.17911i | |||||
5.56987 | − | 9.64730i | 0.425939 | − | 0.737747i | |||||
−4.93858 | + | 8.55387i | −0.376563 | + | 0.652226i | |||||
1.48069 | + | 2.56463i | 0.112575 | + | 0.194985i | 0.916808 | − | 0.399329i | ||
−0.804233 | + | 0.594314i | ||||||||
−32.3184 | −2.45005 | |||||||||
0.766156 | − | 1.05804i | 0.0579160 | − | 0.0799806i | |||||
−6.67859 | −0.503418 | |||||||||
−5.92496 | − | 10.2623i | −0.445348 | − | 0.771365i | |||||
−4.05516 | + | 7.02374i | −0.303947 | + | 0.526452i | |||||
2.83444 | − | 4.90939i | 0.211856 | − | 0.366945i | −0.740440 | − | 0.672123i | ||
0.952295 | + | 0.305178i | ||||||||
9.60813 | + | 16.6418i | 0.716148 | + | 1.24040i | |||||
7.17645 | 0.533421 | 0.266711 | − | 0.963777i | ||||||
0.266711 | + | 0.963777i | ||||||||
−2.39028 | − | 5.34585i | −0.177179 | − | 0.396261i | |||||
7.93541 | 0.586603 | |||||||||
−4.45054 | − | 7.70855i | −0.328098 | − | 0.568282i | |||||
5.97110 | − | 10.3423i | 0.439004 | − | 0.760377i | |||||
10.3268 | − | 17.8865i | 0.757196 | − | 1.31150i | |||||
9.04700 | + | 15.6699i | 0.661582 | + | 1.14589i | |||||
−20.6068 | −1.50291 | |||||||||
0.799636 | + | 0.0827650i | 0.0581649 | + | 0.00602027i | |||||
16.7604 | 1.21593 | |||||||||
−5.94088 | − | 10.2899i | −0.429867 | − | 0.744552i | 0.566994 | − | 0.823722i | ||
−0.996861 | + | 0.0791703i | ||||||||
15.8965 | − | 27.5335i | 1.14723 | − | 1.98706i | |||||
−11.4851 | + | 19.8927i | −0.826714 | + | 1.43191i | 0.0738876 | + | 0.997267i | ||
−0.900602 | + | 0.434645i | ||||||||
5.98408 | + | 10.3647i | 0.429632 | + | 0.744145i | |||||
−5.25271 | −0.376154 | |||||||||
−13.5299 | + | 15.1225i | −0.966420 | + | 1.08018i | |||||
16.9216 | 1.20561 | 0.602806 | − | 0.797888i | ||||||
0.602806 | + | 0.797888i | ||||||||
−16.5500 | − | 28.6655i | −1.17616 | − | 2.03717i | |||||
−5.02953 | + | 8.71140i | −0.356534 | + | 0.617535i | −0.987379 | − | 0.158374i | ||
0.630845 | + | 0.775909i | ||||||||
0.491103 | − | 0.850616i | 0.0347262 | − | 0.0601476i | |||||
3.58737 | + | 6.21351i | 0.253034 | + | 0.438267i | |||||
20.6221 | 1.45096 | |||||||||
−15.5298 | − | 1.60739i | −1.08998 | − | 0.112817i | |||||
−27.1010 | −1.89745 | |||||||||
11.0330 | + | 19.1098i | 0.770580 | + | 1.33468i | |||||
−8.08566 | + | 14.0048i | −0.563355 | + | 0.975759i | |||||
−6.98636 | + | 12.1007i | −0.485586 | + | 0.841059i | |||||
0.697291 | + | 1.20774i | 0.0483484 | + | 0.0837419i | |||||
−17.0833 | −1.18168 | |||||||||
12.5554 | + | 28.0802i | 0.866406 | + | 1.93772i | |||||
−24.4609 | −1.68396 | −0.841978 | − | 0.539512i | ||||||
−0.841978 | + | 0.539512i | ||||||||
17.9436 | + | 31.0793i | 1.23237 | + | 2.13453i | |||||
3.14099 | − | 5.44035i | 0.215217 | − | 0.372767i | |||||
−7.46697 | + | 12.9332i | −0.510431 | + | 0.884093i | |||||
3.61654 | + | 6.26402i | 0.246646 | + | 0.427203i | |||||
0.604452 | 0.0411277 | |||||||||
5.85187 | − | 8.08129i | 0.397251 | − | 0.548594i | |||||
9.24382 | 0.626071 | |||||||||
−9.52742 | − | 16.5020i | −0.643804 | − | 1.11510i | |||||
14.7345 | − | 25.5210i | 0.993402 | − | 1.72062i | |||||
1.88914 | − | 3.27208i | 0.127077 | − | 0.220104i | |||||
−15.4051 | − | 26.6825i | −1.03393 | − | 1.79081i | |||||
−29.2625 | −1.95956 | −0.979780 | − | 0.200076i | ||||||
−0.979780 | + | 0.200076i | ||||||||
10.9635 | − | 15.1404i | 0.732531 | − | 1.01161i | |||||
−1.54185 | −0.102790 | |||||||||
−6.53049 | − | 11.3111i | −0.434401 | − | 0.752405i | |||||
5.03685 | − | 8.72408i | 0.334307 | − | 0.579038i | −0.649044 | − | 0.760751i | ||
0.983352 | + | 0.181713i | ||||||||
12.7936 | − | 22.1592i | 0.847279 | − | 1.46753i | |||||
5.56997 | + | 9.64748i | 0.368074 | + | 0.637523i | 0.989264 | − | 0.146137i | ||
−0.621190 | + | 0.783660i | ||||||||
−21.0228 | −1.38620 | |||||||||
−12.7973 | − | 28.6212i | −0.842003 | − | 1.88314i | |||||
−11.7391 | −0.770711 | |||||||||
8.54166 | + | 14.7946i | 0.559583 | + | 0.969226i | 0.997531 | + | 0.0702257i | ||
−0.437948 | + | 0.899000i | ||||||||
−3.45588 | + | 5.98575i | −0.225918 | + | 0.391301i | |||||
−7.54522 | + | 13.0687i | −0.492196 | + | 0.852508i | |||||
−6.94110 | − | 12.0223i | −0.451827 | − | 0.782587i | |||||
−12.8138 | −0.832347 | |||||||||
−22.0076 | − | 2.27787i | −1.42654 | − | 0.147652i | |||||
6.92142 | 0.447710 | 0.223855 | − | 0.974622i | ||||||
0.223855 | + | 0.974622i | ||||||||
−3.66266 | − | 6.34392i | −0.236424 | − | 0.409498i | |||||
−3.24812 | + | 5.62592i | −0.209230 | + | 0.362397i | −0.951472 | − | 0.307735i | ||
0.742242 | + | 0.670132i | ||||||||
−13.2070 | + | 22.8752i | −0.848978 | + | 1.47047i | |||||
11.1163 | + | 19.2539i | 0.713109 | + | 1.23514i | |||||
9.29634 | 0.595137 | |||||||||
4.63660 | + | 14.1177i | 0.296221 | + | 0.901945i | |||||
56.9293 | 3.62968 | |||||||||
1.78362 | + | 3.08931i | 0.113489 | + | 0.196568i | |||||
3.75103 | − | 6.49697i | 0.238190 | − | 0.412558i | |||||
−4.28981 | + | 7.43017i | −0.271856 | + | 0.470868i | |||||
−12.9060 | − | 22.3538i | −0.816246 | − | 1.41378i | |||||
−9.86804 | −0.622865 | −0.311433 | − | 0.950268i | ||||||
−0.311433 | + | 0.950268i | ||||||||
23.8230 | + | 2.46576i | 1.50071 | + | 0.155328i | |||||
21.4278 | 1.34716 | |||||||||
11.6496 | + | 20.1776i | 0.730959 | + | 1.26606i | |||||
−9.92309 | + | 17.1873i | −0.621408 | + | 1.07631i | |||||
2.98497 | − | 5.17012i | 0.186560 | − | 0.323132i | |||||
−3.43234 | − | 5.94499i | −0.214104 | − | 0.370838i | 0.738891 | − | 0.673825i | ||
−0.952995 | + | 0.302986i | ||||||||
18.6610 | 1.16178 | |||||||||
−6.07547 | − | 13.5878i | −0.377511 | − | 0.844304i | |||||
−6.15355 | −0.381627 | |||||||||
9.21392 | + | 15.9590i | 0.570327 | + | 0.987836i | |||||
−6.00262 | + | 10.3969i | −0.370843 | + | 0.642320i | |||||
0.0632753 | − | 0.109596i | 0.00390172 | − | 0.00675798i | −0.864068 | − | 0.503375i | ||
0.867970 | + | 0.496617i | ||||||||
−11.7867 | − | 20.4151i | −0.725418 | − | 1.25646i | |||||
26.2803 | 1.61439 | |||||||||
12.2517 | − | 16.9193i | 0.751199 | − | 1.03739i | |||||
9.06710 | 0.554897 | |||||||||
4.20261 | + | 7.27913i | 0.256715 | + | 0.444643i | |||||
2.12154 | − | 3.67462i | 0.129353 | − | 0.224045i | −0.794073 | − | 0.607822i | ||
0.923426 | + | 0.383777i | ||||||||
0.713805 | − | 1.23635i | 0.0434408 | − | 0.0752417i | |||||
−0.783616 | − | 1.35726i | −0.0476013 | − | 0.0824479i | 0.841243 | − | 0.540657i | ||
−0.888844 | + | 0.458209i | ||||||||
5.26911 | 0.319487 | |||||||||
−3.83967 | + | 5.30250i | −0.232388 | + | 0.320922i | |||||
49.2348 | 2.97438 | |||||||||
1.18225 | + | 2.04771i | 0.0712923 | + | 0.123482i | |||||
−16.0472 | + | 27.7946i | −0.965929 | + | 1.67304i | |||||
6.37260 | − | 11.0377i | 0.382892 | − | 0.663189i | −0.608582 | − | 0.793491i | ||
0.991474 | + | 0.130302i | ||||||||
4.42664 | + | 7.66717i | 0.265492 | + | 0.459846i | |||||
−11.7766 | −0.705045 | |||||||||
4.56054 | + | 10.1996i | 0.272545 | + | 0.609546i | |||||
4.62986 | 0.276194 | 0.138097 | − | 0.990419i | ||||||
0.138097 | + | 0.990419i | ||||||||
19.4663 | + | 33.7166i | 1.15920 | + | 2.00779i | |||||
−1.82416 | + | 3.15954i | −0.108435 | + | 0.187815i | −0.915136 | − | 0.403144i | ||
0.806701 | + | 0.590959i | ||||||||
3.67967 | − | 6.37338i | 0.218348 | − | 0.378190i | |||||
−9.36881 | − | 16.2273i | −0.554960 | − | 0.961220i | |||||
10.5995 | 0.626762 | |||||||||
27.3559 | + | 2.83143i | 1.61477 | + | 0.167134i | |||||
−22.0635 | −1.30010 | |||||||||
1.36231 | + | 2.35959i | 0.0801360 | + | 0.138800i | |||||
−13.8629 | + | 24.0112i | −0.814057 | + | 1.40999i | |||||
6.69003 | − | 11.5875i | 0.392176 | − | 0.679269i | |||||
−11.1614 | − | 19.3321i | −0.653171 | − | 1.13132i | |||||
−21.0415 | −1.22926 | −0.614630 | − | 0.788816i | ||||||
−0.614630 | + | 0.788816i | ||||||||
37.5242 | + | 7.85189i | 2.18846 | + | 0.457932i | |||||
−10.1660 | −0.591886 | |||||||||
−5.59566 | − | 9.69196i | −0.325241 | − | 0.563334i | |||||
−0.727559 | + | 1.26017i | −0.0422172 | + | 0.0731224i | |||||
−3.26988 | + | 5.66359i | −0.189419 | + | 0.328083i | |||||
−2.23721 | − | 3.87497i | −0.129381 | − | 0.224095i | |||||
−3.54152 | −0.204470 | |||||||||
8.96705 | + | 0.928120i | 0.516852 | + | 0.0534960i | |||||
−41.0676 | −2.36317 | |||||||||
−11.5274 | − | 19.9661i | −0.662233 | − | 1.14702i | |||||
−2.48740 | + | 4.30830i | −0.142662 | + | 0.247098i | |||||
3.40387 | − | 5.89567i | 0.194905 | − | 0.337585i | |||||
13.0573 | + | 22.6158i | 0.746434 | + | 1.29286i | |||||
−4.95861 | −0.283003 | −0.141502 | − | 0.989938i | ||||||
−0.141502 | + | 0.989938i | ||||||||
−14.9921 | − | 33.5298i | −0.854253 | − | 1.91054i | |||||
18.0791 | 1.02848 | |||||||||
−8.85927 | − | 15.3447i | −0.503173 | − | 0.871521i | |||||
1.21079 | − | 2.09715i | 0.0686575 | − | 0.118918i | −0.829653 | − | 0.558279i | ||
0.898311 | + | 0.439361i | ||||||||
−2.46122 | + | 4.26295i | −0.139339 | + | 0.241342i | |||||
−6.98026 | − | 12.0902i | −0.394548 | − | 0.683377i | 0.598496 | − | 0.801126i | ||
−0.993043 | + | 0.117749i | ||||||||
−21.6897 | −1.22402 | |||||||||
10.2866 | − | 14.2055i | 0.579583 | − | 0.800390i | |||||
−15.0114 | −0.844457 | |||||||||
−1.53431 | − | 2.65750i | −0.0861753 | − | 0.149260i | 0.819716 | − | 0.572770i | ||
−0.905891 | + | 0.423510i | ||||||||
33.9010 | − | 58.7182i | 1.90107 | − | 3.29275i | |||||
14.1300 | − | 24.4739i | 0.791127 | − | 1.37027i | |||||
−13.6375 | − | 23.6208i | −0.762359 | − | 1.32044i | |||||
16.6957 | 0.931863 | |||||||||
−15.3674 | + | 21.2221i | −0.856394 | + | 1.18266i | |||||
13.4780 | 0.749936 | |||||||||
12.4888 | + | 21.6312i | 0.693821 | + | 1.20173i | |||||
0.246870 | − | 0.427591i | 0.0136939 | − | 0.0237185i | |||||
−15.3098 | + | 26.5173i | −0.847929 | + | 1.46866i | |||||
−5.16716 | − | 8.94978i | −0.285745 | − | 0.494924i | |||||
20.6786 | 1.14179 | |||||||||
7.67710 | + | 17.1698i | 0.423252 | + | 0.946603i | |||||
−55.6761 | −3.06487 | |||||||||
−6.80261 | − | 11.7825i | −0.373905 | − | 0.647623i | 0.616257 | − | 0.787545i | ||
−0.990162 | + | 0.139922i | ||||||||
−5.02551 | + | 8.70445i | −0.275811 | + | 0.477719i | |||||
−8.78395 | + | 15.2142i | −0.481358 | + | 0.833736i | |||||
−19.2044 | − | 33.2629i | −1.05082 | − | 1.82007i | |||||
6.15516 | 0.336292 | |||||||||
−9.08142 | − | 0.939958i | −0.495432 | − | 0.0512789i | |||||
−35.1646 | −1.91554 | −0.957769 | − | 0.287538i | ||||||
−0.957769 | + | 0.287538i | ||||||||
−1.10666 | − | 1.91679i | −0.0601944 | − | 0.104260i | |||||
−7.30089 | + | 12.6455i | −0.396530 | + | 0.686810i | |||||
−11.6249 | + | 20.1349i | −0.630449 | + | 1.09197i | |||||
9.02997 | + | 15.6404i | 0.489000 | + | 0.846973i | |||||
−24.6558 | −1.33323 | |||||||||
17.6408 | + | 5.63933i | 0.952514 | + | 0.304495i | |||||
6.77828 | 0.365460 | |||||||||
11.7514 | + | 20.3541i | 0.632676 | + | 1.09583i | |||||
3.27724 | − | 5.67635i | 0.176186 | − | 0.305162i | |||||
2.73551 | − | 4.73804i | 0.146850 | − | 0.254351i | −0.783212 | − | 0.621755i | ||
0.930062 | + | 0.367404i | ||||||||
21.1638 | + | 36.6567i | 1.13450 | + | 1.96501i | |||||
4.34196 | 0.232420 | 0.116210 | − | 0.993225i | ||||||
0.116210 | + | 0.993225i | ||||||||
−2.87593 | − | 0.297668i | −0.153725 | − | 0.0159110i | |||||
0.303848 | 0.0162182 | |||||||||
16.9177 | + | 29.3023i | 0.901717 | + | 1.56182i | |||||
−13.7996 | + | 23.9016i | −0.734479 | + | 1.27216i | 0.220472 | + | 0.975393i | ||
−0.954951 | + | 0.296762i | ||||||||
−13.1139 | + | 22.7139i | −0.696993 | + | 1.20723i | |||||
−2.69463 | − | 4.66724i | −0.143016 | − | 0.247712i | |||||
10.6221 | 0.562971 | |||||||||
10.0965 | + | 22.5809i | 0.534365 | + | 1.19511i | |||||
−12.5470 | −0.663132 | |||||||||
−3.31427 | − | 5.74049i | −0.174921 | − | 0.302971i | 0.765213 | − | 0.643777i | ||
−0.940134 | + | 0.340806i | ||||||||
6.59366 | − | 11.4206i | 0.347516 | − | 0.601916i | |||||
3.13742 | − | 5.43418i | 0.165128 | − | 0.286009i | |||||
−7.94189 | − | 13.7558i | −0.417417 | − | 0.722987i | |||||
29.5301 | 1.54993 | |||||||||
−4.49818 | + | 6.21188i | −0.235769 | + | 0.325591i | |||||
−16.3470 | −0.855643 | |||||||||
−8.78181 | − | 15.2105i | −0.459033 | − | 0.795068i | |||||
−15.6037 | + | 27.0264i | −0.814506 | + | 1.41077i | 0.0951768 | + | 0.995460i | ||
−0.909682 | + | 0.415305i | ||||||||
3.11998 | − | 5.40396i | 0.162640 | − | 0.281701i | |||||
−16.2304 | − | 28.1119i | −0.844923 | − | 1.46345i | |||||
−26.4319 | −1.37413 | |||||||||
19.2107 | − | 26.5294i | 0.997368 | − | 1.37734i | |||||
−27.0500 | −1.40248 | |||||||||
7.88730 | + | 13.6612i | 0.408389 | + | 0.707350i | 0.994709 | − | 0.102729i | ||
−0.586321 | + | 0.810079i | ||||||||
20.0239 | − | 34.6825i | 1.03541 | − | 1.79339i | |||||
−14.4285 | + | 24.9909i | −0.745084 | + | 1.29052i | |||||
7.07080 | + | 12.2470i | 0.364649 | + | 0.631590i | |||||
−5.90107 | −0.303921 | |||||||||
−0.726282 | − | 1.62433i | −0.0373559 | − | 0.0835465i | |||||
31.6512 | 1.62581 | 0.812907 | − | 0.582393i | ||||||
0.812907 | + | 0.582393i | ||||||||
−10.9756 | − | 19.0102i | −0.563035 | − | 0.975205i | |||||
13.0239 | − | 22.5580i | 0.667233 | − | 1.15568i | |||||
−13.1491 | + | 22.7749i | −0.672766 | + | 1.16526i | |||||
−6.19675 | − | 10.7331i | −0.316639 | − | 0.548435i | 0.663145 | − | 0.748491i | ||
−0.979785 | + | 0.200055i | ||||||||
−35.4030 | −1.80665 | |||||||||
−26.7537 | − | 2.76910i | −1.36350 | − | 0.141126i | |||||
50.8404 | 2.58771 | |||||||||
−5.32020 | − | 9.21486i | −0.270441 | − | 0.468418i | |||||
7.83737 | − | 13.5747i | 0.397882 | − | 0.689152i | |||||
7.03705 | − | 12.1885i | 0.356792 | − | 0.617983i | −0.630631 | − | 0.776083i | ||
0.987423 | + | 0.158100i | ||||||||
5.81296 | + | 10.0683i | 0.294351 | + | 0.509831i | |||||
−16.9056 | −0.854954 | |||||||||
13.6300 | + | 2.85207i | 0.688421 | + | 0.144051i | |||||
13.4215 | 0.677026 | |||||||||
−18.7265 | − | 32.4352i | −0.943425 | − | 1.63406i | |||||
−5.49644 | + | 9.52012i | −0.276556 | + | 0.479009i | |||||
−21.6756 | + | 37.5433i | −1.08924 | + | 1.88662i | |||||
3.48652 | + | 6.03884i | 0.174984 | + | 0.303081i | 0.940156 | − | 0.340745i | ||
−0.765172 | + | 0.643826i | ||||||||
22.2639 | 1.11599 | |||||||||
−23.2296 | − | 2.40434i | −1.16293 | − | 0.120368i | |||||
0.688560 | 0.0344280 | |||||||||
−1.36841 | − | 2.37016i | −0.0683352 | − | 0.118360i | 0.829833 | − | 0.558011i | ||
−0.898169 | + | 0.439651i | ||||||||
7.94000 | − | 13.7525i | 0.396011 | − | 0.685912i | |||||
1.88558 | − | 3.26592i | 0.0939275 | − | 0.162687i | |||||
−13.5044 | − | 23.3903i | −0.671868 | − | 1.16371i | |||||
18.2911 | 0.908894 | |||||||||
14.1052 | + | 31.5463i | 0.700029 | + | 1.56561i | |||||
26.9412 | 1.33543 | |||||||||
9.29915 | + | 16.1066i | 0.460377 | + | 0.797396i | |||||
12.2577 | − | 21.2309i | 0.606104 | − | 1.04980i | −0.385772 | − | 0.922594i | ||
0.991876 | − | 0.127208i | ||||||||
24.4196 | − | 42.2961i | 1.20600 | − | 2.08885i | |||||
−27.5215 | − | 47.6686i | −1.35754 | − | 2.35132i | |||||
21.1796 | 1.04345 | |||||||||
−7.43122 | + | 10.2623i | −0.365667 | + | 0.504977i | |||||
30.9261 | 1.51994 | |||||||||
3.68020 | + | 6.37429i | 0.180654 | + | 0.312902i | |||||
3.53265 | − | 6.11873i | 0.173202 | − | 0.299995i | |||||
4.94886 | − | 8.57167i | 0.242347 | − | 0.419757i | |||||
18.9054 | + | 32.7452i | 0.924696 | + | 1.60162i | |||||
−3.01252 | −0.147171 | −0.0735856 | − | 0.997289i | ||||||
−0.0735856 | + | 0.997289i | ||||||||
23.6276 | − | 32.6292i | 1.15291 | − | 1.59214i | |||||
−10.0000 | −0.487370 | −0.243685 | − | 0.969854i | ||||||
−0.243685 | + | 0.969854i | ||||||||
27.0699 | + | 46.8864i | 1.31774 | + | 2.28240i | |||||
11.0996 | − | 19.2251i | 0.539681 | − | 0.934755i | |||||
12.3140 | − | 21.3284i | 0.598018 | − | 1.03580i | |||||
−0.932742 | − | 1.61556i | −0.0452447 | − | 0.0783660i | |||||
−13.9040 | −0.673653 | |||||||||
−3.46337 | − | 7.74581i | −0.167604 | − | 0.374846i | |||||
19.5590 | 0.945421 | |||||||||
−5.92496 | − | 10.2623i | −0.286060 | − | 0.495470i | |||||
8.00456 | − | 13.8643i | 0.386014 | − | 0.668596i | |||||
9.39711 | − | 16.2763i | 0.452643 | − | 0.784001i | −0.545906 | − | 0.837846i | ||
0.998549 | + | 0.0538455i | ||||||||
0.211871 | + | 0.366971i | 0.0101936 | + | 0.0176559i | |||||
−7.76911 | −0.373360 | −0.186680 | − | 0.982421i | ||||||
−0.186680 | + | 0.982421i | ||||||||
−21.9662 | − | 2.27358i | −1.05441 | − | 0.109135i | |||||
30.9966 | 1.48617 | |||||||||
−6.05333 | − | 10.4847i | −0.289902 | − | 0.502125i | |||||
7.98066 | − | 13.8229i | 0.381767 | − | 0.661240i | |||||
−21.0873 | + | 36.5242i | −1.00759 | + | 1.74519i | |||||
18.9841 | + | 32.8814i | 0.906060 | + | 1.56934i | 0.819488 | + | 0.573096i | ||
0.0865713 | + | 0.996246i | ||||||||
−20.2234 | −0.964112 | |||||||||
−6.82079 | − | 20.7682i | −0.324799 | − | 0.988961i | |||||
−8.36254 | −0.397766 | |||||||||
−17.8135 | − | 30.8539i | −0.846344 | − | 1.46591i | −0.884449 | − | 0.466637i | ||
0.0381050 | − | 0.999274i | ||||||||
−20.1762 | + | 34.9461i | −0.957518 | + | 1.65847i | |||||
3.88930 | − | 6.73647i | 0.184371 | − | 0.319339i | |||||
32.3837 | + | 56.0901i | 1.53341 | + | 2.65594i | |||||
7.31125 | 0.345810 | |||||||||
−33.8136 | − | 3.49982i | −1.59754 | − | 0.165351i | |||||
−8.05285 | −0.380038 | −0.190019 | − | 0.981780i | ||||||
−0.190019 | + | 0.981780i | ||||||||
1.70630 | + | 2.95540i | 0.0804359 | + | 0.139319i | |||||
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−8.55300 | + | 14.8142i | −0.402299 | + | 0.696803i | |||||
22.9562 | + | 39.7612i | 1.07857 | + | 1.86815i | |||||
−22.2963 | −1.04642 | |||||||||
2.29251 | + | 5.12720i | 0.107475 | + | 0.240367i | |||||
−17.5595 | −0.822297 | |||||||||
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−0.988746 | + | 0.149603i | ||||||||
12.3281 | − | 21.3530i | 0.576056 | − | 0.997759i | |||||
0.574012 | − | 0.994218i | 0.0267926 | − | 0.0464061i | |||||
13.7668 | + | 23.8448i | 0.641880 | + | 1.11177i | |||||
−25.6991 | −1.19692 | −0.598462 | − | 0.801151i | ||||||
−0.598462 | + | 0.801151i | ||||||||
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−0.476842 | + | 0.878989i | ||||||||
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−9.90440 | + | 17.1549i | −0.459306 | + | 0.795541i | |||||
18.9054 | − | 32.7452i | 0.875778 | − | 1.51689i | |||||
−5.91241 | − | 10.2406i | −0.273594 | − | 0.473878i | 0.696186 | − | 0.717862i | ||
−0.969779 | + | 0.243984i | ||||||||
9.05234 | 0.418445 | |||||||||
4.49936 | − | 6.21351i | 0.207761 | − | 0.286913i | |||||
33.4000 | 1.54063 | |||||||||
12.1242 | + | 20.9998i | 0.558656 | + | 0.967620i | |||||
−4.76338 | + | 8.25042i | −0.219253 | + | 0.379757i | |||||
−8.15878 | + | 14.1314i | −0.375141 | + | 0.649764i | |||||
14.1805 | + | 24.5614i | 0.651334 | + | 1.12814i | |||||
1.76128 | 0.0808133 | |||||||||
11.8281 | + | 26.4535i | 0.542140 | + | 1.21250i | |||||
−38.6604 | −1.77014 | |||||||||
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−0.999792 | + | 0.0204092i | ||||||||
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14.3783 | 0.654913 | |||||||||
29.1372 | + | 3.01580i | 1.32579 | + | 0.137224i | |||||
34.5945 | 1.57248 | |||||||||
−5.73933 | − | 9.94081i | −0.260610 | − | 0.451389i | |||||
24.6039 | − | 42.6152i | 1.11606 | − | 1.93306i | |||||
16.3584 | − | 28.3335i | 0.741268 | − | 1.28391i | −0.210650 | − | 0.977562i | ||
0.951918 | − | 0.306353i | ||||||||
−3.18984 | − | 5.52497i | −0.144397 | − | 0.250104i | |||||
34.2317 | 1.54801 | |||||||||
21.9295 | − | 24.5109i | 0.990675 | − | 1.10729i | |||||
6.17281 | 0.278575 | 0.139288 | − | 0.990252i | ||||||
0.139288 | + | 0.990252i | ||||||||
−37.2803 | − | 64.5713i | −1.68072 | − | 2.91110i | |||||
−11.1479 | + | 19.3088i | −0.502078 | + | 0.869625i | |||||
3.94772 | − | 6.83765i | 0.177616 | − | 0.307640i | |||||
15.8731 | + | 27.4931i | 0.713444 | + | 1.23572i | |||||
5.25919 | 0.236145 | |||||||||
−6.68123 | − | 0.691531i | −0.299694 | − | 0.0310194i | |||||
18.9895 | 0.850938 | |||||||||
7.31934 | + | 12.6775i | 0.327659 | + | 0.567521i | 0.982047 | − | 0.188637i | ||
−0.654388 | + | 0.756159i | ||||||||
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−21.4699 | + | 37.1870i | −0.959205 | + | 1.66139i | |||||
10.9206 | + | 18.9150i | 0.487409 | + | 0.844218i | |||||
12.7787 | 0.569774 | 0.284887 | − | 0.958561i | ||||||
0.284887 | + | 0.958561i | ||||||||
−6.70891 | − | 15.0045i | −0.298839 | − | 0.668352i | |||||
−19.7786 | −0.880136 | |||||||||
−23.7134 | − | 41.0727i | −1.05419 | − | 1.82591i | |||||
−1.23721 | + | 2.14292i | −0.0549466 | + | 0.0951703i | |||||
15.2575 | − | 26.4267i | 0.676941 | − | 1.17250i | |||||
−5.84263 | − | 10.1197i | −0.258970 | − | 0.448549i | 0.706996 | − | 0.707217i | ||
−0.965966 | + | 0.258668i | ||||||||
43.9260 | 1.94507 | |||||||||
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15.4017 | 0.680664 | |||||||||
0.541949 | + | 0.938683i | 0.0239276 | + | 0.0414439i | |||||
−7.59688 | + | 13.1582i | −0.335084 | + | 0.580382i | |||||
7.75495 | − | 13.4320i | 0.341724 | − | 0.591883i | |||||
−12.2202 | − | 21.1659i | −0.537962 | − | 0.931778i | |||||
−34.0435 | −1.49723 | |||||||||
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−7.32772 | −0.321651 | |||||||||
2.11146 | + | 3.65716i | 0.0925937 | + | 0.160377i | |||||
−4.23838 | + | 7.34108i | −0.185687 | + | 0.321619i | −0.943808 | − | 0.330495i | ||
0.758121 | + | 0.652114i | ||||||||
20.3934 | − | 35.3224i | 0.892594 | − | 1.54602i | |||||
−16.3554 | − | 28.3284i | −0.715172 | − | 1.23871i | −0.962893 | − | 0.269883i | ||
0.247721 | − | 0.968831i | ||||||||
15.7233 | 0.686876 | |||||||||
1.31940 | + | 2.95084i | 0.0575833 | + | 0.128785i | |||||
−0.280097 | −0.0122128 | |||||||||
−7.12425 | − | 12.3396i | −0.310337 | − | 0.537520i | |||||
8.26284 | − | 14.3117i | 0.359594 | − | 0.622835i | |||||
1.48975 | − | 2.58032i | 0.0647716 | − | 0.112188i | |||||
−29.0834 | − | 50.3739i | −1.26330 | − | 2.18810i | |||||
14.9549 | 0.648989 | |||||||||
−27.2135 | − | 2.81669i | −1.17985 | − | 0.122119i | |||||
10.3948 | 0.450249 | |||||||||
−10.0342 | − | 17.3797i | −0.434222 | − | 0.752095i | |||||
7.16156 | − | 12.4042i | 0.309621 | − | 0.536280i | |||||
2.88407 | − | 4.99536i | 0.124573 | − | 0.215767i | |||||
7.01361 | + | 12.1479i | 0.302660 | + | 0.524222i | |||||
−9.39131 | −0.404888 | |||||||||
−22.3520 | + | 24.9831i | −0.962771 | + | 1.07610i | |||||
−1.86975 | −0.0804610 | |||||||||
14.0853 | + | 24.3964i | 0.605573 | + | 1.04888i | 0.991961 | + | 0.126547i | ||
−0.386388 | + | 0.922336i | ||||||||
−1.73440 | + | 3.00406i | −0.0744987 | + | 0.129035i | |||||
−8.87880 | + | 15.3785i | −0.381026 | + | 0.659956i | |||||
−13.3473 | − | 23.1182i | −0.572262 | − | 0.991187i | |||||
−8.86574 | −0.379767 | |||||||||
14.4130 | + | 1.49180i | 0.616820 | + | 0.0638430i | |||||
−18.5377 | −0.792615 | −0.396307 | − | 0.918118i | ||||||
−0.396307 | + | 0.918118i | ||||||||
−32.2415 | − | 55.8438i | −1.37729 | − | 2.38553i | |||||
−5.00735 | + | 8.67299i | −0.213709 | + | 0.370154i | |||||
2.61670 | − | 4.53225i | 0.111576 | − | 0.193256i | |||||
−10.5252 | − | 18.2303i | −0.448391 | − | 0.776635i | |||||
22.0251 | 0.937449 | |||||||||
5.59252 | + | 12.5077i | 0.237818 | + | 0.531880i | |||||
−28.2092 | −1.19850 | |||||||||
14.7751 | + | 25.5912i | 0.627167 | + | 1.08628i | |||||
5.79759 | − | 10.0417i | 0.245873 | − | 0.425864i | |||||
−2.00142 | + | 3.46655i | −0.0848027 | + | 0.146883i | −0.905307 | − | 0.424758i | ||
0.820504 | + | 0.571640i | ||||||||
13.0327 | + | 22.5732i | 0.551717 | + | 0.955602i | |||||
3.40733 | 0.144115 | |||||||||
−4.59379 | + | 6.34392i | −0.194123 | + | 0.268079i | |||||
−44.7723 | −1.89029 | |||||||||
−5.12368 | − | 8.87448i | −0.216129 | − | 0.374347i | |||||
8.93100 | − | 15.4689i | 0.376397 | − | 0.651938i | −0.614138 | − | 0.789199i | ||
0.990535 | + | 0.137260i | ||||||||
25.4951 | − | 44.1587i | 1.07354 | − | 1.85942i | |||||
6.26338 | + | 10.8485i | 0.263503 | + | 0.456400i | |||||
8.07490 | 0.339413 | |||||||||
13.3706 | − | 18.4645i | 0.561514 | − | 0.775437i | |||||
−5.05041 | −0.211910 | |||||||||
18.7336 | + | 32.4475i | 0.785353 | + | 1.36027i | 0.928788 | + | 0.370612i | ||
−0.143434 | + | 0.989660i | ||||||||
−20.7362 | + | 35.9161i | −0.868544 | + | 1.50436i | |||||
−8.78514 | + | 15.2163i | −0.367646 | + | 0.636782i | −0.989197 | − | 0.146592i | ||
0.621551 | + | 0.783374i | ||||||||
−6.94110 | − | 12.0223i | −0.290222 | − | 0.502679i | |||||
29.4006 | 1.22823 | |||||||||
−24.8465 | − | 55.5691i | −1.03707 | − | 2.31941i | |||||
−2.20920 | −0.0921301 | |||||||||
20.0618 | + | 34.7481i | 0.835908 | + | 1.44784i | |||||
17.1247 | − | 29.6608i | 0.712910 | − | 1.23480i | −0.250850 | − | 0.968026i | ||
0.963760 | − | 0.266770i | ||||||||
3.01524 | − | 5.22254i | 0.125417 | − | 0.217229i | |||||
−28.4190 | − | 49.2232i | −1.18105 | − | 2.04565i | |||||
36.3125 | 1.50780 | |||||||||
9.12490 | + | 0.944459i | 0.378565 | + | 0.0391828i | |||||
−29.6144 | −1.22756 | |||||||||
29.6438 | + | 51.3445i | 1.22772 | + | 2.12647i | |||||
−7.65959 | + | 13.2668i | −0.316956 | + | 0.548984i | |||||
3.31453 | − | 5.74093i | 0.137039 | − | 0.237358i | |||||
23.2859 | + | 40.3323i | 0.961930 | + | 1.66611i | |||||
−29.4494 | −1.21551 | −0.607754 | − | 0.794126i | ||||||
−0.607754 | + | 0.794126i | ||||||||
−15.6669 | − | 47.7032i | −0.646092 | − | 1.96725i | |||||
13.4526 | 0.554305 | |||||||||
11.2503 | + | 19.4861i | 0.463167 | + | 0.802229i | |||||
−20.9356 | + | 36.2616i | −0.861176 | + | 1.49160i | |||||
3.92275 | − | 6.79439i | 0.161224 | − | 0.279248i | |||||
17.0001 | + | 29.4450i | 0.698109 | + | 1.20916i | 0.969121 | + | 0.246584i | ||
−0.271013 | + | 0.962576i | ||||||||
3.22064 | 0.132145 | |||||||||
21.1075 | + | 2.18470i | 0.865324 | + | 0.0895640i | |||||
8.56514 | 0.350842 | |||||||||
−12.4452 | − | 21.5557i | −0.509349 | − | 0.882218i | |||||
−4.95168 | + | 8.57655i | −0.202489 | + | 0.350721i | |||||
−10.7209 | + | 18.5691i | −0.438043 | + | 0.758713i | −0.997539 | − | 0.0701203i | ||
0.559495 | + | 0.828834i | ||||||||
1.21520 | + | 2.10479i | 0.0496103 | + | 0.0859276i | |||||
40.4039 | 1.64811 | 0.824054 | − | 0.566511i | ||||||
0.824054 | + | 0.566511i | ||||||||
−8.14447 | − | 18.2151i | −0.331944 | − | 0.742392i | |||||
−9.05472 | −0.368737 | |||||||||
26.8931 | + | 46.5803i | 1.09427 | + | 1.89533i | |||||
12.6668 | − | 21.9396i | 0.514980 | − | 0.891971i | |||||
−25.5139 | + | 44.1914i | −1.03643 | + | 1.79515i | |||||
21.9456 | + | 38.0110i | 0.890746 | + | 1.54282i | 0.838983 | + | 0.544158i | ||
0.0517636 | + | 0.998659i | ||||||||
25.2036 | 1.02214 | |||||||||
22.6582 | − | 31.2904i | 0.918156 | − | 1.26795i | |||||
−15.0677 | −0.610074 | |||||||||
3.55438 | + | 6.15636i | 0.143795 | + | 0.249060i | |||||
17.1011 | − | 29.6200i | 0.691272 | − | 1.19732i | |||||
7.15777 | − | 12.3976i | 0.289100 | − | 0.500735i | −0.684496 | − | 0.729017i | ||
0.973595 | + | 0.228282i | ||||||||
5.48750 | + | 9.50464i | 0.221458 | + | 0.383576i | |||||
−54.6009 | −2.20172 | |||||||||
−14.7831 | + | 20.4151i | −0.595628 | + | 0.822547i | |||||
−36.9097 | −1.48593 | −0.742965 | − | 0.669330i | ||||||
−0.742965 | + | 0.669330i | ||||||||
−20.0074 | − | 34.6538i | −0.804815 | − | 1.39398i | |||||
−7.14646 | + | 12.3780i | −0.287240 | + | 0.497515i | −0.973150 | − | 0.230172i | ||
0.685910 | + | 0.727687i | ||||||||
−11.6030 | + | 20.0970i | −0.465988 | + | 0.807115i | |||||
−0.679774 | − | 1.17740i | −0.0272784 | − | 0.0472476i | |||||
−5.35973 | −0.214906 | |||||||||
−3.95728 | − | 8.85046i | −0.158545 | − | 0.354586i | |||||
−3.45079 | −0.138142 | |||||||||
11.1438 | + | 19.3016i | 0.445750 | + | 0.772062i | |||||
−15.4496 | + | 26.7594i | −0.617489 | + | 1.06952i | |||||
21.1357 | − | 36.6082i | 0.844080 | − | 1.46199i | |||||
14.2036 | + | 24.6013i | 0.566784 | + | 0.981698i | |||||
−21.2554 | −0.847510 | |||||||||
−38.6128 | − | 3.99656i | −1.53837 | − | 0.159227i | |||||
−0.0431064 | −0.00171604 | −0.000858019 | − | 1.00000i | ||||||
−0.000858019 | 1.00000i | |||||||||
5.15084 | + | 8.92152i | 0.204890 | + | 0.354879i | |||||
30.2633 | − | 52.4176i | 1.20286 | − | 2.08341i | |||||
−3.39592 | + | 5.88190i | −0.134869 | + | 0.233600i | |||||
−11.1731 | − | 19.3524i | −0.443390 | − | 0.767975i | |||||
−88.8004 | −3.52116 | |||||||||
6.85161 | + | 1.43369i | 0.271471 | + | 0.0568048i | |||||
−62.5484 | −2.47632 | |||||||||
3.96401 | + | 6.86587i | 0.156814 | + | 0.271610i | |||||
−15.1860 | + | 26.3029i | −0.600279 | + | 1.03971i | |||||
−21.3328 | + | 36.9494i | −0.842594 | + | 1.45942i | 0.0451008 | + | 0.998982i | ||
−0.887695 | + | 0.460433i | ||||||||
−18.4765 | − | 32.0022i | −0.729208 | − | 1.26303i | |||||
−5.49737 | −0.216795 | −0.108398 | − | 0.994108i | ||||||
−0.108398 | + | 0.994108i | ||||||||
34.1342 | + | 3.53301i | 1.34508 | + | 0.139220i | |||||
−17.8977 | −0.704722 | |||||||||
−14.9156 | − | 25.8345i | −0.586845 | − | 1.01645i | |||||
19.0933 | − | 33.0706i | 0.750637 | − | 1.30014i | −0.196877 | − | 0.980428i | ||
0.947514 | − | 0.319713i | ||||||||
8.57053 | − | 14.8446i | 0.336682 | − | 0.583150i | |||||
−11.4671 | − | 19.8615i | −0.450121 | − | 0.779633i | |||||
−1.09280 | −0.0428633 | |||||||||
10.0775 | + | 22.5384i | 0.394969 | + | 0.883348i | |||||
40.1024 | 1.57053 | |||||||||
−19.2510 | − | 33.3437i | −0.753349 | − | 1.30484i | −0.946191 | − | 0.323608i | ||
0.192843 | − | 0.981230i | ||||||||
−11.4366 | + | 19.8088i | −0.447206 | + | 0.774584i | |||||
5.75711 | − | 9.97161i | 0.224949 | − | 0.389623i | |||||
7.24820 | + | 12.5543i | 0.282995 | + | 0.490161i | |||||
24.0477 | 0.938192 | |||||||||
24.4151 | − | 33.7166i | 0.951798 | − | 1.31441i | |||||
19.4843 | 0.759002 | 0.379501 | − | 0.925191i | ||||||
0.379501 | + | 0.925191i | ||||||||
36.4595 | + | 63.1498i | 1.41919 | + | 2.45810i | |||||
20.8334 | − | 36.0844i | 0.810324 | − | 1.40352i | −0.102314 | − | 0.994752i | ||
0.912638 | − | 0.408770i | ||||||||
−15.0564 | + | 26.0784i | −0.585182 | + | 1.01356i | |||||
4.67454 | + | 8.09654i | 0.181544 | + | 0.314443i | |||||
6.89760 | 0.267679 | |||||||||
−11.7506 | + | 16.2273i | −0.455668 | + | 0.629266i | |||||
38.8834 | 1.50670 | |||||||||
13.2020 | + | 22.8665i | 0.511182 | + | 0.885393i | |||||
−25.1520 | + | 43.5645i | −0.973160 | + | 1.68556i | |||||
36.2040 | − | 62.7071i | 1.39973 | − | 2.42440i | |||||
−6.81168 | − | 11.7982i | −0.263158 | − | 0.455803i | |||||
15.3580 | 0.592890 | |||||||||
18.8803 | + | 42.2258i | 0.728324 | + | 1.62889i | |||||
−14.3157 | −0.551830 | −0.275915 | − | 0.961182i | ||||||
−0.275915 | + | 0.961182i | ||||||||
38.9153 | + | 67.4033i | 1.49896 | + | 2.59628i | |||||
0.0750110 | − | 0.129923i | 0.00288718 | − | 0.00500073i | |||||
−1.44940 | + | 2.51043i | −0.0557460 | + | 0.0965550i | |||||
14.7641 | + | 25.5721i | 0.567429 | + | 0.982815i | 0.996819 | + | 0.0796963i | ||
−0.429391 | + | 0.903119i | ||||||||
32.3184 | 1.24118 | |||||||||
−14.2304 | − | 1.47290i | −0.546114 | − | 0.0565247i | |||||
15.9554 | 0.611860 | |||||||||
12.4633 | + | 21.5871i | 0.477596 | + | 0.827220i | |||||
19.9862 | − | 34.6172i | 0.765312 | − | 1.32556i | |||||
−23.5349 | + | 40.7637i | −0.900539 | + | 1.55978i | −0.0737441 | + | 0.997277i | ||
−0.826795 | + | 0.562503i | ||||||||
16.1459 | + | 27.9655i | 0.617354 | + | 1.06929i | |||||
−47.2210 | −1.80422 | |||||||||
−8.71296 | − | 40.0546i | −0.332662 | − | 1.52929i | |||||
−27.5650 | −1.05167 | |||||||||
2.37590 | + | 4.11518i | 0.0905804 | + | 0.156890i | |||||
6.19003 | − | 10.7214i | 0.235821 | − | 0.408454i | |||||
26.0097 | − | 45.0501i | 0.990172 | − | 1.71503i | |||||
15.4334 | + | 26.7314i | 0.587113 | + | 1.01691i | 0.994608 | + | 0.103703i | ||
−0.407495 | + | 0.913207i | ||||||||
−8.58442 | −0.326331 | |||||||||
39.3568 | + | 4.07356i | 1.49504 | + | 0.154742i | |||||
−12.1091 | −0.459656 | |||||||||
−4.24559 | − | 7.35358i | −0.161044 | − | 0.278937i | |||||
14.5238 | − | 25.1560i | 0.550524 | − | 0.953535i | |||||
19.6372 | − | 34.0127i | 0.743813 | − | 1.28832i | |||||
−4.80508 | − | 8.32264i | −0.181875 | − | 0.315017i | |||||
−42.2715 | −1.59885 | |||||||||
1.54568 | + | 3.45691i | 0.0584211 | + | 0.130659i | |||||
6.48958 | 0.245108 | 0.122554 | − | 0.992462i | ||||||
0.122554 | + | 0.992462i | ||||||||
−0.336257 | − | 0.582415i | −0.0126912 | − | 0.0219818i | |||||
10.0341 | − | 17.3795i | 0.378443 | − | 0.655482i | |||||
30.7657 | − | 53.2878i | 1.15953 | − | 2.00836i | |||||
−18.6701 | − | 32.3376i | −0.703157 | − | 1.21790i | |||||
61.0860 | 2.29900 | |||||||||
−14.4580 | + | 19.9661i | −0.543747 | + | 0.750902i | |||||
34.3505 | 1.29097 | |||||||||
6.68689 | + | 11.5820i | 0.251131 | + | 0.434972i | 0.963838 | − | 0.266490i | ||
−0.712706 | + | 0.701463i | ||||||||
−5.96409 | + | 10.3301i | −0.223828 | + | 0.387682i | |||||
8.08569 | − | 14.0048i | 0.303237 | − | 0.525222i | |||||
−3.64475 | − | 6.31290i | −0.136593 | − | 0.236586i | |||||
−16.8738 | −0.631929 | |||||||||
32.1094 | − | 44.3424i | 1.20167 | − | 1.65947i | |||||
−10.1660 | −0.380186 | |||||||||
8.21645 | + | 14.2313i | 0.307063 | + | 0.531849i | |||||
−8.56328 | + | 14.8320i | −0.319802 | + | 0.553913i | |||||
−7.33555 | + | 12.7055i | −0.273760 | + | 0.474167i | |||||
8.37048 | + | 14.4981i | 0.312166 | + | 0.540688i | 0.978831 | − | 0.204670i | ||
−0.666665 | + | 0.745358i | ||||||||
9.24476 | 0.344532 | |||||||||
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−13.8883 | −0.516868 | |||||||||
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−1.45680 | + | 2.52325i | −0.0541041 | + | 0.0937110i | |||||
−32.6798 | − | 56.6030i | −1.21286 | − | 2.10074i | |||||
38.8138 | 1.43952 | 0.719761 | − | 0.694221i | ||||||
0.719761 | + | 0.694221i | ||||||||
5.23528 | + | 0.541869i | 0.194032 | + | 0.0200830i | |||||
−29.1632 | −1.08012 | |||||||||
18.0906 | + | 31.3339i | 0.669564 | + | 1.15972i | |||||
6.43692 | − | 11.1491i | 0.238078 | − | 0.412364i | |||||
−11.5016 | + | 19.9213i | −0.425110 | + | 0.736312i | |||||
−18.8639 | − | 32.6733i | −0.696756 | − | 1.20682i | −0.969585 | − | 0.244754i | ||
0.272830 | − | 0.962062i | ||||||||
69.0719 | 2.54949 | |||||||||
−35.9895 | − | 7.53074i | −1.32749 | − | 0.277776i | |||||
−31.6132 | −1.16528 | |||||||||
6.94292 | + | 12.0255i | 0.255746 | + | 0.442965i | |||||
−35.9232 | + | 62.2208i | −1.32235 | + | 2.29038i | |||||
4.61476 | − | 7.99300i | 0.169757 | − | 0.294027i | −0.768578 | − | 0.639757i | ||
0.938334 | + | 0.345729i | ||||||||
17.3090 | + | 29.9801i | 0.636291 | + | 1.10209i | |||||
−8.82686 | −0.324263 | |||||||||
−72.1111 | − | 7.46375i | −2.64728 | − | 0.274003i | |||||
−3.56327 | −0.130724 | −0.0653619 | − | 0.997862i | ||||||
−0.0653619 | + | 0.997862i | ||||||||
9.28164 | + | 16.0763i | 0.340282 | + | 0.589385i | |||||
3.13614 | − | 5.43195i | 0.114899 | − | 0.199011i | |||||
17.4571 | − | 30.2366i | 0.639151 | − | 1.10704i | |||||
−5.41386 | − | 9.37707i | −0.198083 | − | 0.343089i | |||||
−52.4508 | −1.91779 | |||||||||
−7.28674 | − | 16.2968i | −0.266252 | − | 0.595472i | |||||
63.8698 | 2.33220 | |||||||||
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−0.158561 | − | 0.987349i | ||||||||
−4.95687 | + | 8.58555i | −0.180758 | + | 0.313083i | |||||
12.2089 | − | 21.1464i | 0.444916 | − | 0.770618i | |||||
6.53049 | + | 11.3111i | 0.237826 | + | 0.411927i | |||||
39.3879 | 1.43347 | |||||||||
−1.36677 | + | 1.88747i | −0.0497088 | + | 0.0686466i | |||||
25.2305 | 0.917019 | 0.458509 | − | 0.888690i | ||||||
0.458509 | + | 0.888690i | ||||||||
−35.0272 | − | 60.6688i | −1.27224 | − | 2.20359i | |||||
−26.5108 | + | 45.9181i | −0.962282 | + | 1.66672i | |||||
−7.53207 | + | 13.0459i | −0.273217 | + | 0.473226i | |||||
−1.82372 | − | 3.15878i | −0.0661099 | − | 0.114506i | 0.831076 | − | 0.556159i | ||
−0.897186 | + | 0.441653i | ||||||||
−57.6520 | −2.08851 | |||||||||
−6.48077 | + | 8.94978i | −0.234620 | + | 0.324004i | |||||
34.4428 | 1.24610 | |||||||||
−12.5232 | − | 21.6908i | −0.452777 | − | 0.784233i | |||||
−13.7154 | + | 23.7558i | −0.495558 | + | 0.858331i | |||||
−2.39448 | + | 4.14736i | −0.0864596 | + | 0.149752i | |||||
7.38609 | + | 12.7931i | 0.266523 | + | 0.461631i | |||||
21.9882 | 0.792914 | 0.396457 | − | 0.918053i | ||||||
0.396457 | + | 0.918053i | ||||||||
24.2995 | + | 54.3458i | 0.875693 | + | 1.95849i | |||||
16.9862 | 0.611742 | |||||||||
−33.2929 | − | 57.6650i | −1.19824 | − | 2.07541i | |||||
−10.9295 | + | 18.9305i | −0.393108 | + | 0.680882i | −0.992858 | − | 0.119305i | ||
0.599750 | + | 0.800187i | ||||||||
−11.7753 | + | 20.3954i | −0.423255 | + | 0.733099i | |||||
−0.930986 | − | 1.61252i | −0.0334420 | − | 0.0579233i | |||||
−10.7569 | −0.386151 | |||||||||
36.6342 | + | 3.79176i | 1.31424 | + | 0.136029i | |||||
−31.1505 | −1.11680 | |||||||||
18.5404 | + | 32.1128i | 0.664277 | + | 1.15056i | |||||
7.61326 | − | 13.1865i | 0.272598 | − | 0.472154i | |||||
6.07900 | − | 10.5291i | 0.217524 | − | 0.376762i | |||||
18.7088 | + | 32.4046i | 0.669025 | + | 1.15879i | |||||
−1.79303 | −0.0640777 | |||||||||
3.04603 | + | 9.27468i | 0.108787 | + | 0.331239i | |||||
20.8026 | 0.742477 | |||||||||
−14.8531 | − | 25.7263i | −0.529791 | − | 0.917625i | |||||
−19.9336 | + | 34.5261i | −0.710557 | + | 1.23072i | 0.254091 | + | 0.967180i | ||
−0.964648 | + | 0.263541i | ||||||||
−24.5261 | + | 42.4804i | −0.873706 | + | 1.51330i | |||||
0.156570 | + | 0.271188i | 0.00557405 | + | 0.00965454i | |||||
24.3308 | 0.865651 | |||||||||
15.5298 | + | 1.60739i | 0.552176 | + | 0.0571521i | |||||
29.7502 | 1.05713 | |||||||||
−1.60348 | − | 2.77732i | −0.0569414 | − | 0.0986254i | |||||
7.71680 | − | 13.3659i | 0.273859 | − | 0.474338i | |||||
−32.5144 | + | 56.3166i | −1.15317 | + | 1.99734i | |||||
−14.5796 | − | 25.2526i | −0.516759 | − | 0.895053i | |||||
−40.1971 | −1.42385 | −0.711927 | − | 0.702253i | ||||||
−0.711927 | + | 0.702253i | ||||||||
21.0986 | + | 47.1871i | 0.746884 | + | 1.67041i | |||||
26.8589 | 0.950198 | |||||||||
−1.74421 | − | 3.02106i | −0.0616671 | − | 0.106811i | |||||
−5.72146 | + | 9.90986i | −0.202158 | + | 0.350148i | |||||
−3.02873 | + | 5.24592i | −0.106948 | + | 0.185240i | |||||
−18.4392 | − | 31.9376i | −0.650704 | − | 1.12705i | |||||
−20.7981 | −0.733492 | |||||||||
14.7389 | − | 20.3541i | 0.519478 | − | 0.717387i | |||||
−8.34680 | −0.294003 | |||||||||
5.24960 | + | 9.09258i | 0.184795 | + | 0.320074i | |||||
−9.26749 | + | 16.0518i | −0.326029 | + | 0.564699i | |||||
−1.26924 | + | 2.19840i | −0.0446243 | + | 0.0772915i | −0.887475 | − | 0.460856i | ||
0.842851 | + | 0.538148i | ||||||||
−20.2421 | − | 35.0603i | −0.711235 | − | 1.23189i | |||||
−41.7062 | −1.46450 | −0.732251 | − | 0.681035i | ||||||
−0.732251 | + | 0.681035i | ||||||||
26.5441 | − | 36.6567i | 0.931515 | − | 1.28640i | |||||
3.87801 | 0.136008 | |||||||||
−29.8148 | − | 51.6407i | −1.04501 | − | 1.81001i | |||||
14.6836 | − | 25.4327i | 0.514343 | − | 0.890868i | |||||
−6.51902 | + | 11.2913i | −0.228211 | + | 0.395274i | |||||
6.07737 | + | 10.5263i | 0.212620 | + | 0.368269i | |||||
−54.2604 | −1.89717 | |||||||||
−3.37246 | − | 7.54251i | −0.117843 | − | 0.263557i | |||||
−63.9650 | −2.23375 | |||||||||
−15.9652 | − | 27.6525i | −0.557189 | − | 0.965079i | −0.997730 | − | 0.0673467i | ||
0.440541 | − | 0.897733i | ||||||||
−60.9140 | + | 105.506i | −2.12462 | + | 3.67995i | |||||
17.1266 | − | 29.6641i | 0.596995 | − | 1.03402i | −0.396267 | − | 0.918135i | ||
0.993262 | − | 0.115890i | ||||||||
−7.26734 | − | 12.5874i | −0.253170 | − | 0.438503i | |||||
−5.85078 | −0.203698 | |||||||||
27.8946 | + | 2.88719i | 0.970578 | + | 0.100458i | |||||
36.9755 | 1.28576 | 0.642882 | − | 0.765965i | ||||||
0.642882 | + | 0.765965i | ||||||||
−20.2520 | − | 35.0775i | −0.703807 | − | 1.21903i | |||||
9.99473 | − | 17.3114i | 0.347131 | − | 0.601249i | −0.638607 | − | 0.769533i | ||
0.985739 | + | 0.168284i | ||||||||
8.14547 | − | 14.1084i | 0.282733 | − | 0.489708i | |||||
15.7685 | + | 27.3119i | 0.547005 | + | 0.947440i | |||||
−12.8486 | −0.445446 | |||||||||
17.6348 | − | 19.7106i | 0.611009 | − | 0.682932i | |||||
−21.9068 | −0.758571 | |||||||||
18.4189 | + | 31.9024i | 0.637412 | + | 1.10403i | |||||
24.7605 | − | 42.8865i | 0.856360 | − | 1.48326i | |||||
0.572931 | − | 0.992346i | 0.0198034 | − | 0.0343005i | |||||
3.33384 | + | 5.77438i | 0.115166 | + | 0.199473i | |||||
12.8147 | 0.442411 | 0.221206 | − | 0.975227i | ||||||
0.221206 | + | 0.975227i | ||||||||
−27.4994 | − | 2.84628i | −0.948819 | − | 0.0982060i | |||||
5.82265 | 0.200781 | |||||||||
11.0666 | + | 19.1679i | 0.381381 | + | 0.660571i | |||||
−5.72812 | + | 9.92140i | −0.197287 | + | 0.341711i | |||||
35.4535 | − | 61.4073i | 1.22036 | − | 2.11373i | |||||
1.06140 | + | 1.83839i | 0.0365132 | + | 0.0632427i | |||||
−49.1340 | −1.68926 | |||||||||
−12.8882 | − | 28.8245i | −0.442845 | − | 0.990422i | |||||
17.2650 | 0.592882 | |||||||||
−4.51375 | − | 7.81805i | −0.154912 | − | 0.268315i | |||||
−2.06446 | + | 3.57575i | −0.0708104 | + | 0.122647i | |||||
−12.5859 | + | 21.7994i | −0.431439 | + | 0.747274i | |||||
9.10508 | + | 15.7705i | 0.311935 | + | 0.540287i | |||||
−30.1839 | −1.03348 | −0.516739 | − | 0.856143i | ||||||
−0.516739 | + | 0.856143i | ||||||||
−11.0143 | + | 15.2105i | −0.376903 | + | 0.520494i | |||||
23.6474 | 0.808724 | |||||||||
−6.71127 | − | 11.6243i | −0.229386 | − | 0.397309i | |||||
26.6164 | − | 46.1009i | 0.909197 | − | 1.57478i | 0.0940154 | − | 0.995571i | ||
0.815182 | − | 0.579205i | ||||||||
−13.1139 | + | 22.7139i | −0.447700 | + | 0.775438i | |||||
6.13597 | + | 10.6278i | 0.209357 | + | 0.362616i | 0.951512 | − | 0.307611i | ||
−0.742155 | + | 0.670228i | ||||||||
−20.9672 | −0.714975 | |||||||||
−39.9127 | + | 55.1185i | −1.36022 | + | 1.87843i | |||||
−41.5977 | −1.41682 | |||||||||
−12.2226 | − | 21.1702i | −0.416064 | − | 0.720643i | 0.579476 | − | 0.814989i | ||
−0.995539 | + | 0.0943460i | ||||||||
1.07339 | − | 1.85917i | 0.0365175 | − | 0.0632501i | |||||
−3.14320 | + | 5.44418i | −0.106872 | + | 0.185108i | |||||
8.59778 | + | 14.8918i | 0.292164 | + | 0.506043i | |||||
−6.74189 | −0.228967 | |||||||||
11.8058 | + | 26.4037i | 0.400716 | + | 0.896200i | |||||
−24.7996 | −0.841268 | |||||||||
−34.3027 | − | 59.4141i | −1.16297 | − | 2.01432i | |||||
1.44978 | − | 2.51109i | 0.0491238 | − | 0.0850850i | |||||
−4.15415 | + | 7.19519i | −0.140677 | + | 0.243660i | |||||
8.44300 | + | 14.6237i | 0.285752 | + | 0.494937i | |||||
−35.3276 | −1.19497 | |||||||||
30.6910 | + | 3.17663i | 1.03755 | + | 0.107390i | |||||
55.2361 | 1.86625 | |||||||||
26.4376 | + | 45.7913i | 0.892736 | + | 1.54626i | 0.836582 | + | 0.547842i | ||
0.0561539 | + | 0.998422i | ||||||||
42.0178 | − | 72.7770i | 1.41803 | − | 2.45611i | |||||
26.0329 | − | 45.0903i | 0.878068 | − | 1.52086i | |||||
−7.08864 | − | 12.2779i | −0.238958 | − | 0.413887i | |||||
55.0118 | 1.85339 | 0.926697 | − | 0.375809i | ||||||
0.926697 | + | 0.375809i | ||||||||
−32.2600 | + | 36.0574i | −1.08625 | + | 1.21412i | |||||
44.1730 | 1.48654 | 0.743269 | − | 0.668992i | ||||||
0.743269 | + | 0.668992i | ||||||||
5.47622 | + | 9.48510i | 0.184185 | + | 0.319018i | |||||
12.5775 | − | 21.7848i | 0.422788 | − | 0.732290i | |||||
−39.4270 | + | 68.2895i | −1.32457 | + | 2.29423i | |||||
2.54330 | + | 4.40512i | 0.0853955 | + | 0.147909i | 0.905560 | − | 0.424219i | ||
−0.820164 | + | 0.572128i | ||||||||
27.6921 | 0.929286 | |||||||||
−27.7032 | − | 2.86738i | −0.929136 | − | 0.0961688i | |||||
−17.2165 | −0.577100 | |||||||||
20.6321 | + | 35.7359i | 0.691202 | + | 1.19720i | |||||
42.4130 | − | 73.4614i | 1.42009 | − | 2.45967i | |||||
−12.6793 | + | 21.9612i | −0.424296 | + | 0.734903i | |||||
−8.09108 | − | 14.0142i | −0.270606 | − | 0.468704i | |||||
12.0339 | 0.402248 | |||||||||
15.4514 | + | 34.5571i | 0.516196 | + | 1.15447i | |||||
11.0717 | 0.369672 | |||||||||
8.91178 | + | 15.4356i | 0.297390 | + | 0.515094i | |||||
−11.1270 | + | 19.2724i | −0.371105 | + | 0.642772i | |||||
2.23475 | − | 3.87070i | 0.0744917 | − | 0.129023i | |||||
−23.3876 | − | 40.5086i | −0.779155 | − | 1.34954i | |||||
110.180 | 3.66859 | |||||||||
−13.0830 | + | 18.0674i | −0.435377 | + | 0.601244i | |||||
11.7391 | 0.390437 | |||||||||
7.61706 | + | 13.1931i | 0.253200 | + | 0.438555i | |||||
50.8094 | − | 88.0044i | 1.68803 | − | 2.92375i | |||||
9.06264 | − | 15.6969i | 0.300920 | − | 0.521209i | −0.675425 | − | 0.737429i | ||
0.976345 | + | 0.216220i | ||||||||
14.6008 | + | 25.2893i | 0.484544 | + | 0.839255i | |||||
29.0958 | 0.965048 | |||||||||
7.29075 | − | 10.0683i | 0.241686 | − | 0.333763i | |||||
−9.65804 | −0.319985 | −0.159993 | − | 0.987118i | ||||||
−0.159993 | + | 0.987118i | ||||||||
−6.15489 | − | 10.6606i | −0.203809 | − | 0.353007i | |||||
−8.30241 | + | 14.3802i | −0.274770 | + | 0.475915i | |||||
−17.2613 | + | 29.8974i | −0.570952 | + | 0.988918i | |||||
8.42263 | + | 14.5884i | 0.278444 | + | 0.482278i | |||||
−32.2924 | −1.06697 | |||||||||
−5.85774 | − | 13.1008i | −0.193440 | − | 0.432628i | |||||
−2.54095 | −0.0838637 | |||||||||
−23.8801 | − | 41.3616i | −0.787733 | − | 1.36439i | −0.927353 | − | 0.374188i | ||
0.139620 | − | 0.990205i | ||||||||
9.44758 | − | 16.3637i | 0.311477 | − | 0.539495i | |||||
6.13487 | − | 10.6259i | 0.202151 | − | 0.350135i | |||||
28.4401 | + | 49.2598i | 0.936626 | + | 1.62228i | |||||
−2.53876 | −0.0835643 | |||||||||
90.4000 | + | 9.35670i | 2.97394 | + | 0.307813i | |||||
−2.77763 | −0.0913279 | |||||||||
22.7096 | + | 39.3342i | 0.746285 | + | 1.29260i | |||||
−11.4081 | + | 19.7595i | −0.374692 | + | 0.648986i | |||||
−20.8464 | + | 36.1071i | −0.684317 | + | 1.18527i | |||||
−16.9905 | − | 29.4285i | −0.557442 | − | 0.965517i | −0.997709 | − | 0.0676505i | ||
0.440267 | − | 0.897867i | ||||||||
43.8433 | 1.43768 | |||||||||
7.79153 | + | 23.7239i | 0.255357 | + | 0.777520i | |||||
−49.5210 | −1.62212 | |||||||||
2.99601 | + | 5.18924i | 0.0980850 | + | 0.169888i | |||||
−13.0861 | + | 22.6657i | −0.428189 | + | 0.741645i | |||||
−19.2049 | + | 33.2639i | −0.628068 | + | 1.08785i | |||||
−3.10612 | − | 5.37996i | −0.101527 | − | 0.175849i | |||||
−24.7948 | −0.810012 | −0.405006 | − | 0.914314i | ||||||
−0.405006 | + | 0.914314i | ||||||||
−16.8893 | − | 1.74810i | −0.551454 | − | 0.0570774i | |||||
34.5443 | 1.12731 | |||||||||
−21.8720 | − | 37.8835i | −0.713387 | − | 1.23562i | |||||
4.12098 | − | 7.13774i | 0.134340 | − | 0.232684i | −0.791005 | − | 0.611810i | ||
0.925345 | + | 0.379126i | ||||||||
26.8349 | − | 46.4793i | 0.874327 | − | 1.51438i | |||||
−23.2554 | − | 40.2796i | −0.757301 | − | 1.31168i | |||||
−6.67859 | −0.217370 | |||||||||
0.696577 | + | 1.55789i | 0.0226596 | + | 0.0506783i | |||||
36.1160 | 1.17423 | |||||||||
−9.98643 | − | 17.2970i | −0.324515 | − | 0.562077i | 0.656899 | − | 0.753979i | ||
−0.981414 | + | 0.191902i | ||||||||
18.5723 | − | 32.1682i | 0.603200 | − | 1.04477i | |||||
−3.85035 | + | 6.66901i | −0.124988 | + | 0.216485i | |||||
−1.94914 | − | 3.37602i | −0.0632386 | − | 0.109532i | |||||
7.59307 | 0.246222 | |||||||||
11.6632 | − | 16.1066i | 0.378007 | − | 0.522018i | |||||
−21.5341 | −0.697557 | −0.348778 | − | 0.937205i | ||||||
−0.348778 | + | 0.937205i | ||||||||
42.7839 | + | 74.1040i | 1.38518 | + | 2.39920i | |||||
12.6113 | − | 21.8434i | 0.408091 | − | 0.706835i | |||||
−10.0319 | + | 17.3757i | −0.324455 | + | 0.561972i | |||||
34.9636 | + | 60.5588i | 1.13021 | + | 1.95759i | |||||
50.1432 | 1.62005 | |||||||||
−34.5181 | + | 47.6686i | −1.11465 | + | 1.53930i | |||||
67.4900 | 2.17823 | |||||||||
8.38917 | + | 14.5305i | 0.270618 | + | 0.468725i | |||||
−6.22574 | + | 10.7833i | −0.200726 | + | 0.347667i | |||||
−10.5352 | + | 18.2475i | −0.339492 | + | 0.588018i | |||||
−9.41564 | − | 16.3084i | −0.303257 | − | 0.525257i | |||||
−48.7610 | −1.56967 | |||||||||
−26.4643 | − | 59.1874i | −0.851476 | − | 1.90432i | |||||
43.2887 | 1.39207 | 0.696036 | − | 0.718007i | ||||||
0.696036 | + | 0.718007i | ||||||||
−11.8704 | − | 20.5601i | −0.381528 | − | 0.660827i | |||||
−16.6752 | + | 28.8822i | −0.535683 | + | 0.927831i | |||||
−12.7030 | + | 22.0022i | −0.407868 | + | 0.706449i | |||||
26.3356 | + | 45.6147i | 0.845151 | + | 1.46384i | 0.885490 | + | 0.464658i | ||
−0.0403390 | + | 0.999186i | ||||||||
−64.4476 | −2.06716 | |||||||||
−10.5268 | − | 1.08956i | −0.337473 | − | 0.0349296i | |||||
−72.4127 | −2.32025 | |||||||||
0.610862 | + | 1.05804i | 0.0195632 | + | 0.0338845i | |||||
2.23619 | − | 3.87319i | 0.0715787 | − | 0.123978i | |||||
−7.70305 | + | 13.3421i | −0.246442 | + | 0.426851i | −0.962536 | − | 0.271153i | ||
0.716094 | + | 0.698004i | ||||||||
−37.8829 | − | 65.6151i | −1.21136 | − | 2.09814i | |||||
17.5483 | 0.560845 | |||||||||
−42.1617 | − | 8.82227i | −1.34681 | − | 0.281817i | |||||
13.0422 | 0.416405 | |||||||||
−6.83121 | − | 11.8320i | −0.217993 | − | 0.377575i | |||||
−3.79073 | + | 6.56574i | −0.120906 | + | 0.209415i | −0.920125 | − | 0.391625i | ||
0.799219 | + | 0.601039i | ||||||||
−25.5839 | + | 44.3126i | −0.815584 | + | 1.41263i | |||||
17.9605 | + | 31.1085i | 0.572270 | + | 0.991201i | |||||
49.3480 | 1.57156 | |||||||||
−46.2918 | − | 4.79136i | −1.47348 | − | 0.152511i | |||||
−10.3407 | −0.328981 | |||||||||
−7.62293 | − | 13.2033i | −0.242395 | − | 0.419841i | |||||
35.1323 | − | 60.8510i | 1.11658 | − | 1.93397i | |||||
9.50923 | − | 16.4705i | 0.302071 | − | 0.523202i | −0.674534 | − | 0.738244i | ||
0.976605 | + | 0.215042i | ||||||||
−13.3222 | − | 23.0747i | −0.422980 | − | 0.732623i | |||||
33.6651 | 1.06833 | |||||||||
6.06834 | + | 13.5718i | 0.192476 | + | 0.430472i | |||||
−21.3533 | −0.676946 | |||||||||
−12.4353 | − | 21.5385i | −0.394027 | − | 0.682474i | |||||
−23.0499 | + | 39.9236i | −0.729998 | + | 1.26439i | 0.226885 | + | 0.973922i | ||
−0.956883 | + | 0.290473i | ||||||||
16.2001 | − | 28.0593i | 0.512804 | − | 0.888202i | |||||
−0.854680 | − | 1.48035i | −0.0270409 | − | 0.0468362i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.2.e.c.53.2 | ✓ | 10 | |
3.2 | odd | 2 | 819.2.j.h.235.4 | 10 | |||
4.3 | odd | 2 | 1456.2.r.p.417.5 | 10 | |||
7.2 | even | 3 | inner | 91.2.e.c.79.2 | yes | 10 | |
7.3 | odd | 6 | 637.2.a.k.1.4 | 5 | |||
7.4 | even | 3 | 637.2.a.l.1.4 | 5 | |||
7.5 | odd | 6 | 637.2.e.m.79.2 | 10 | |||
7.6 | odd | 2 | 637.2.e.m.508.2 | 10 | |||
13.12 | even | 2 | 1183.2.e.f.508.4 | 10 | |||
21.2 | odd | 6 | 819.2.j.h.352.4 | 10 | |||
21.11 | odd | 6 | 5733.2.a.bl.1.2 | 5 | |||
21.17 | even | 6 | 5733.2.a.bm.1.2 | 5 | |||
28.23 | odd | 6 | 1456.2.r.p.625.5 | 10 | |||
91.25 | even | 6 | 8281.2.a.bw.1.2 | 5 | |||
91.38 | odd | 6 | 8281.2.a.bx.1.2 | 5 | |||
91.51 | even | 6 | 1183.2.e.f.170.4 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.e.c.53.2 | ✓ | 10 | 1.1 | even | 1 | trivial | |
91.2.e.c.79.2 | yes | 10 | 7.2 | even | 3 | inner | |
637.2.a.k.1.4 | 5 | 7.3 | odd | 6 | |||
637.2.a.l.1.4 | 5 | 7.4 | even | 3 | |||
637.2.e.m.79.2 | 10 | 7.5 | odd | 6 | |||
637.2.e.m.508.2 | 10 | 7.6 | odd | 2 | |||
819.2.j.h.235.4 | 10 | 3.2 | odd | 2 | |||
819.2.j.h.352.4 | 10 | 21.2 | odd | 6 | |||
1183.2.e.f.170.4 | 10 | 91.51 | even | 6 | |||
1183.2.e.f.508.4 | 10 | 13.12 | even | 2 | |||
1456.2.r.p.417.5 | 10 | 4.3 | odd | 2 | |||
1456.2.r.p.625.5 | 10 | 28.23 | odd | 6 | |||
5733.2.a.bl.1.2 | 5 | 21.11 | odd | 6 | |||
5733.2.a.bm.1.2 | 5 | 21.17 | even | 6 | |||
8281.2.a.bw.1.2 | 5 | 91.25 | even | 6 | |||
8281.2.a.bx.1.2 | 5 | 91.38 | odd | 6 |