Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [243,2,Mod(28,243)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(243, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("243.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 243.e (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: |
Embedding invariants
Embedding label | 28.1 | ||
Root | of defining polynomial | ||
Character | 243.28 | ||
Dual form | 243.2.e.d.217.1 |
-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 .
−0.367548 | − | 2.08447i | −0.259895 | − | 1.47394i | −0.783187 | − | 0.621786i | ||
0.523291 | − | 0.852154i | ||||||||
0 | 0 | |||||||||
−2.33052 | + | 0.848241i | −1.16526 | + | 0.424121i | |||||
−2.05537 | − | 1.72466i | −0.919190 | − | 0.771292i | 0.0546547 | − | 0.998505i | ||
−0.973845 | + | 0.227213i | ||||||||
0 | 0 | |||||||||
−0.913694 | − | 0.332557i | −0.345344 | − | 0.125695i | 0.163524 | − | 0.986539i | ||
−0.508868 | + | 0.860844i | ||||||||
0.508086 | + | 0.880031i | 0.179636 | + | 0.311138i | |||||
0 | 0 | |||||||||
−2.83955 | + | 4.91825i | −0.897945 | + | 1.55529i | |||||
−0.242761 | + | 0.203701i | −0.0731952 | + | 0.0614181i | −0.678651 | − | 0.734461i | ||
0.605456 | + | 0.795879i | ||||||||
0 | 0 | |||||||||
−0.262909 | + | 1.49103i | −0.0729177 | + | 0.413537i | 0.926398 | + | 0.376546i | ||
−0.999316 | + | 0.0369909i | ||||||||
−0.357379 | + | 2.02679i | −0.0955135 | + | 0.541684i | |||||
0 | 0 | |||||||||
−2.15207 | + | 1.80580i | −0.538018 | + | 0.451451i | |||||
−0.587342 | + | 1.01731i | −0.142451 | + | 0.246733i | −0.928419 | − | 0.371534i | ||
0.785968 | + | 0.618267i | ||||||||
0 | 0 | |||||||||
−3.11040 | − | 5.38737i | −0.713575 | − | 1.23595i | −0.963507 | − | 0.267685i | ||
0.249931 | − | 0.968264i | ||||||||
6.25302 | + | 2.27591i | 1.39822 | + | 0.508910i | |||||
0 | 0 | |||||||||
0.513834 | + | 0.431158i | 0.109550 | + | 0.0919231i | |||||
−2.03231 | + | 0.739701i | −0.423766 | + | 0.154238i | −0.545095 | − | 0.838374i | ||
0.121329 | + | 0.992612i | ||||||||
0 | 0 | |||||||||
0.381855 | + | 2.16561i | 0.0763710 | + | 0.433121i | |||||
3.20463 | 0.628480 | |||||||||
0 | 0 | |||||||||
2.41147 | 0.455726 | |||||||||
−0.764905 | − | 4.33799i | −0.142039 | − | 0.805545i | −0.969697 | − | 0.244311i | ||
0.827658 | − | 0.561233i | ||||||||
0 | 0 | |||||||||
8.15017 | − | 2.96642i | 1.46381 | − | 0.532784i | 0.517400 | − | 0.855743i | ||
0.946413 | + | 0.322959i | ||||||||
6.11199 | + | 5.12857i | 1.08046 | + | 0.906611i | |||||
0 | 0 | |||||||||
2.33642 | + | 0.850386i | 0.400692 | + | 0.145840i | |||||
1.30443 | + | 2.25934i | 0.220489 | + | 0.381899i | |||||
0 | 0 | |||||||||
2.23332 | − | 3.86823i | 0.367156 | − | 0.635933i | −0.621964 | − | 0.783046i | ||
0.989120 | + | 0.147113i | ||||||||
−10.0866 | + | 8.46364i | −1.63626 | + | 1.37298i | |||||
0 | 0 | |||||||||
0.473450 | − | 2.68507i | 0.0748590 | − | 0.424547i | |||||
1.01501 | − | 5.75638i | 0.158517 | − | 0.898996i | −0.796982 | − | 0.604003i | ||
0.955499 | − | 0.294993i | ||||||||
0 | 0 | |||||||||
4.28295 | − | 3.59382i | 0.653143 | − | 0.548052i | −0.254880 | − | 0.966973i | ||
0.908023 | + | 0.418920i | ||||||||
0.392973 | − | 0.680649i | 0.0592429 | − | 0.102612i | |||||
0 | 0 | |||||||||
2.28885 | + | 3.96441i | 0.337473 | + | 0.584521i | |||||
2.32674 | + | 0.846865i | 0.339390 | + | 0.123528i | 0.506092 | − | 0.862479i | ||
−0.166702 | + | 0.986007i | ||||||||
0 | 0 | |||||||||
−4.63807 | − | 3.89180i | −0.662581 | − | 0.555972i | |||||
4.37378 | − | 1.59193i | 0.618546 | − | 0.225132i | |||||
0 | 0 | |||||||||
−0.652037 | − | 3.69789i | −0.0904213 | − | 0.512805i | |||||
−10.8920 | −1.49613 | −0.748063 | − | 0.663628i | ||||||
−0.748063 | + | 0.663628i | ||||||||
0 | 0 | |||||||||
0.850279 | 0.114652 | |||||||||
−0.171574 | − | 0.973047i | −0.0229276 | − | 0.130029i | |||||
0 | 0 | |||||||||
−8.76126 | + | 3.18884i | −1.15041 | + | 0.418715i | |||||
−1.32082 | − | 1.10830i | −0.171956 | − | 0.144289i | 0.552748 | − | 0.833348i | ||
−0.724704 | + | 0.689060i | ||||||||
0 | 0 | |||||||||
−0.953579 | − | 0.347074i | −0.122093 | − | 0.0444383i | 0.280251 | − | 0.959927i | ||
−0.402344 | + | 0.915488i | ||||||||
−9.17898 | − | 15.8985i | −1.16573 | − | 2.01911i | |||||
0 | 0 | |||||||||
5.63455 | − | 9.75933i | 0.704319 | − | 1.21992i | |||||
3.11190 | − | 2.61119i | 0.385983 | − | 0.323878i | |||||
0 | 0 | |||||||||
0.148739 | − | 0.843538i | 0.0181713 | − | 0.103055i | −0.974373 | − | 0.224938i | ||
0.992544 | + | 0.121883i | ||||||||
0.505893 | − | 2.86906i | 0.0613486 | − | 0.347925i | |||||
0 | 0 | |||||||||
4.23008 | − | 3.54946i | 0.505592 | − | 0.424242i | |||||
4.79788 | − | 8.31018i | 0.569404 | − | 0.986237i | −0.427221 | − | 0.904147i | ||
0.996625 | − | 0.0820894i | ||||||||
0 | 0 | |||||||||
7.62091 | + | 13.1998i | 0.891960 | + | 1.54492i | 0.837522 | + | 0.546404i | ||
0.0544385 | + | 0.998517i | ||||||||
−8.88405 | − | 3.23353i | −1.03275 | − | 0.375890i | |||||
0 | 0 | |||||||||
11.8187 | + | 9.91703i | 1.35569 | + | 1.13756i | |||||
0.289552 | − | 0.105388i | 0.0329975 | − | 0.0120101i | |||||
0 | 0 | |||||||||
−1.94725 | − | 11.0434i | −0.219083 | − | 1.24248i | −0.873680 | − | 0.486502i | ||
0.654597 | − | 0.755978i | ||||||||
7.53771 | 0.842741 | |||||||||
0 | 0 | |||||||||
−12.3721 | −1.36626 | |||||||||
0.813530 | + | 4.61376i | 0.0892965 | + | 0.506425i | 0.996347 | + | 0.0854026i | ||
−0.907050 | + | 0.421023i | ||||||||
0 | 0 | |||||||||
2.96172 | − | 1.07798i | 0.321243 | − | 0.116923i | |||||
−9.06538 | − | 7.60676i | −0.977546 | − | 0.820258i | |||||
0 | 0 | |||||||||
−0.302607 | − | 0.110140i | −0.0322580 | − | 0.0117409i | |||||
7.74976 | + | 13.4230i | 0.821473 | + | 1.42283i | 0.904586 | + | 0.426292i | ||
−0.0831130 | + | 0.996540i | ||||||||
0 | 0 | |||||||||
0.736071 | − | 1.27491i | 0.0771612 | − | 0.133647i | |||||
4.10891 | − | 3.44778i | 0.428383 | − | 0.359456i | |||||
0 | 0 | |||||||||
0.910073 | − | 5.16128i | 0.0938669 | − | 0.532346i | |||||
−2.89837 | + | 16.4375i | −0.297366 | + | 1.68645i | |||||
0 | 0 | |||||||||
−4.25115 | + | 3.56714i | −0.431639 | + | 0.362188i | −0.832570 | − | 0.553920i | ||
0.400931 | + | 0.916108i | ||||||||
−6.40762 | + | 11.0983i | −0.647267 | + | 1.12110i | |||||
0 | 0 | |||||||||
−2.72688 | − | 4.72309i | −0.272688 | − | 0.472309i | |||||
9.52759 | + | 3.46776i | 0.948030 | + | 0.345055i | 0.769332 | − | 0.638849i | ||
0.178698 | + | 0.983904i | ||||||||
0 | 0 | |||||||||
−7.54806 | − | 6.33357i | −0.743732 | − | 0.624065i | 0.190105 | − | 0.981764i | ||
−0.933837 | + | 0.357698i | ||||||||
−1.44573 | + | 0.526203i | −0.141766 | + | 0.0515985i | |||||
0 | 0 | |||||||||
4.00331 | + | 22.7039i | 0.388836 | + | 2.20520i | |||||
5.17080 | 0.499880 | 0.249940 | − | 0.968261i | ||||||
0.249940 | + | 0.968261i | ||||||||
0 | 0 | |||||||||
−7.31065 | −0.700234 | −0.350117 | − | 0.936706i | ||||||
−0.350117 | + | 0.936706i | ||||||||
−0.312518 | − | 1.77238i | −0.0297974 | − | 0.168990i | |||||
0 | 0 | |||||||||
2.56687 | − | 0.934263i | 0.242546 | − | 0.0882796i | |||||
7.94820 | + | 6.66933i | 0.747704 | + | 0.627398i | 0.934895 | − | 0.354925i | ||
−0.187191 | + | 0.982324i | ||||||||
0 | 0 | |||||||||
5.45289 | + | 1.98469i | 0.508485 | + | 0.185073i | |||||
5.46229 | + | 9.46096i | 0.507161 | + | 0.878428i | |||||
0 | 0 | |||||||||
−1.82475 | + | 3.16056i | −0.167982 | + | 0.290953i | |||||
0.874964 | − | 0.734182i | 0.0802078 | − | 0.0673023i | |||||
0 | 0 | |||||||||
−1.89269 | + | 10.7340i | −0.172063 | + | 0.975817i | |||||
−0.372979 | + | 2.11527i | −0.0337680 | + | 0.191508i | |||||
0 | 0 | |||||||||
−16.4779 | + | 13.8266i | −1.47976 | + | 1.24167i | |||||
−3.75766 | + | 6.50846i | −0.336095 | + | 0.582134i | |||||
0 | 0 | |||||||||
−2.61372 | − | 4.52709i | −0.231930 | − | 0.401714i | 0.726446 | − | 0.687223i | ||
−0.958376 | + | 0.285509i | ||||||||
−7.41903 | − | 2.70031i | −0.655756 | − | 0.238676i | |||||
0 | 0 | |||||||||
−6.58671 | − | 5.52691i | −0.577693 | − | 0.484742i | |||||
6.79802 | − | 2.47428i | 0.593946 | − | 0.216179i | −0.0275183 | − | 0.999621i | ||
0.621464 | + | 0.783443i | ||||||||
0 | 0 | |||||||||
1.05034 | + | 5.95680i | 0.0910764 | + | 0.516520i | |||||
−1.81300 | −0.156619 | |||||||||
0 | 0 | |||||||||
−1.19368 | −0.102357 | |||||||||
1.95342 | + | 11.0784i | 0.166892 | + | 0.946493i | 0.947092 | + | 0.320962i | ||
−0.780200 | + | 0.625531i | ||||||||
0 | 0 | |||||||||
−8.81447 | + | 3.20820i | −0.747634 | + | 0.272116i | −0.687610 | − | 0.726081i | ||
−0.0600240 | + | 0.998197i | ||||||||
−4.95648 | − | 4.15898i | −0.418899 | − | 0.351498i | |||||
0 | 0 | |||||||||
−19.0857 | − | 6.94664i | −1.60164 | − | 0.582949i | |||||
−0.239900 | − | 0.415518i | −0.0200614 | − | 0.0347474i | |||||
0 | 0 | |||||||||
−5.90940 | + | 10.2354i | −0.490749 | + | 0.850003i | |||||
24.7135 | − | 20.7371i | 2.04530 | − | 1.71621i | |||||
0 | 0 | |||||||||
−1.92362 | + | 10.9094i | −0.158121 | + | 0.896747i | |||||
3.30821 | − | 18.7618i | 0.271019 | − | 1.53703i | −0.480309 | − | 0.877099i | ||
0.751328 | − | 0.659928i | ||||||||
0 | 0 | |||||||||
3.07490 | − | 2.58015i | 0.250232 | − | 0.209970i | −0.509040 | − | 0.860743i | ||
0.759272 | + | 0.650773i | ||||||||
3.16070 | − | 5.47450i | 0.256367 | − | 0.444041i | |||||
0 | 0 | |||||||||
−0.326102 | − | 0.564825i | −0.0262780 | − | 0.0455149i | |||||
−21.8677 | − | 7.95919i | −1.75646 | − | 0.639298i | |||||
0 | 0 | |||||||||
5.57368 | + | 4.67687i | 0.444828 | + | 0.373255i | 0.837512 | − | 0.546418i | ||
−0.392685 | + | 0.919673i | ||||||||
−22.3039 | + | 8.11795i | −1.77440 | + | 0.645830i | |||||
0 | 0 | |||||||||
−3.71737 | − | 21.0822i | −0.293884 | − | 1.66670i | |||||
2.10290 | 0.165732 | |||||||||
0 | 0 | |||||||||
12.4492 | 0.975094 | 0.487547 | − | 0.873097i | ||||||
0.487547 | + | 0.873097i | ||||||||
2.51731 | + | 14.2764i | 0.196569 | + | 1.11480i | |||||
0 | 0 | |||||||||
9.31821 | − | 3.39155i | 0.723233 | − | 0.263235i | |||||
−1.78633 | − | 1.49891i | −0.138230 | − | 0.115989i | 0.571051 | − | 0.820915i | ||
−0.709281 | + | 0.704926i | ||||||||
0 | 0 | |||||||||
10.0620 | + | 3.66225i | 0.773997 | + | 0.281712i | |||||
−3.33558 | − | 5.77739i | −0.255827 | − | 0.443106i | |||||
0 | 0 | |||||||||
−6.93308 | + | 12.0085i | −0.528643 | + | 0.915636i | |||||
−2.74418 | + | 2.30264i | −0.208636 | + | 0.175066i | −0.741118 | − | 0.671375i | ||
0.532482 | + | 0.846442i | ||||||||
0 | 0 | |||||||||
0.371290 | − | 2.10569i | 0.0280669 | − | 0.159175i | |||||
0.154596 | − | 0.876757i | 0.0116531 | − | 0.0660880i | |||||
0 | 0 | |||||||||
25.1313 | − | 21.0877i | 1.88367 | − | 1.58059i | |||||
9.99785 | − | 17.3168i | 0.747275 | − | 1.29432i | −0.201850 | − | 0.979416i | ||
0.949124 | − | 0.314901i | ||||||||
0 | 0 | |||||||||
−4.86616 | − | 8.42844i | −0.361699 | − | 0.626481i | 0.626542 | − | 0.779388i | ||
−0.988241 | + | 0.152907i | ||||||||
−2.92805 | − | 1.06572i | −0.217042 | − | 0.0789967i | |||||
0 | 0 | |||||||||
−1.68355 | − | 1.41267i | −0.124113 | − | 0.104143i | |||||
−11.2617 | + | 4.09892i | −0.827976 | + | 0.301359i | |||||
0 | 0 | |||||||||
−0.0646422 | − | 0.366604i | −0.00472711 | − | 0.0268088i | |||||
−6.14088 | −0.447869 | |||||||||
0 | 0 | |||||||||
35.3286 | 2.56301 | |||||||||
−3.08339 | − | 17.4868i | −0.223106 | − | 1.26530i | −0.866273 | − | 0.499571i | ||
0.643167 | − | 0.765726i | ||||||||
0 | 0 | |||||||||
−9.94602 | + | 3.62006i | −0.715930 | + | 0.260577i | −0.674197 | − | 0.738551i | ||
−0.0417333 | + | 0.999129i | ||||||||
8.99809 | + | 7.55029i | 0.646025 | + | 0.542079i | |||||
0 | 0 | |||||||||
14.1103 | + | 5.13574i | 1.00788 | + | 0.366838i | |||||
−7.07945 | − | 12.2620i | −0.504390 | − | 0.873628i | −0.999987 | − | 0.00507615i | ||
0.495597 | − | 0.868552i | ||||||||
0 | 0 | |||||||||
−3.77010 | + | 6.53000i | −0.267255 | + | 0.462899i | −0.968152 | − | 0.250363i | ||
0.700897 | + | 0.713263i | ||||||||
−1.71179 | + | 1.43636i | −0.121042 | + | 0.101566i | |||||
0 | 0 | |||||||||
3.72658 | − | 21.1345i | 0.262201 | − | 1.48702i | |||||
−0.743742 | + | 4.21797i | −0.0522004 | + | 0.296043i | |||||
0 | 0 | |||||||||
−12.0140 | + | 10.0810i | −0.839096 | + | 0.704085i | |||||
−10.4278 | + | 18.0616i | −0.726543 | + | 1.25841i | |||||
0 | 0 | |||||||||
−2.12670 | − | 3.68356i | −0.147460 | − | 0.255409i | |||||
1.85250 | + | 0.674254i | 0.128140 | + | 0.0466391i | |||||
0 | 0 | |||||||||
3.99388 | + | 3.35126i | 0.274950 | + | 0.230710i | 0.769827 | − | 0.638253i | ||
−0.494877 | + | 0.868963i | ||||||||
25.3840 | − | 9.23901i | 1.74338 | − | 0.634538i | |||||
0 | 0 | |||||||||
−1.90052 | − | 10.7784i | −0.129917 | − | 0.736794i | |||||
−15.0012 | −1.02307 | |||||||||
0 | 0 | |||||||||
−8.43326 | −0.572487 | |||||||||
2.68701 | + | 15.2388i | 0.181988 | + | 1.03210i | |||||
0 | 0 | |||||||||
−1.98160 | + | 0.721242i | −0.133599 | + | 0.0486261i | |||||
−1.36242 | − | 1.14320i | −0.0916460 | − | 0.0769001i | |||||
0 | 0 | |||||||||
−16.6267 | − | 6.05164i | −1.11341 | − | 0.405248i | −0.281166 | − | 0.959659i | ||
−0.832243 | + | 0.554412i | ||||||||
−3.87894 | − | 6.71853i | −0.259173 | − | 0.448901i | |||||
0 | 0 | |||||||||
10.9807 | − | 19.0191i | 0.730423 | − | 1.26513i | |||||
−12.0820 | + | 10.1380i | −0.801913 | + | 0.672885i | −0.948663 | − | 0.316289i | ||
0.146750 | + | 0.989174i | ||||||||
0 | 0 | |||||||||
−0.306813 | + | 1.74002i | −0.0202748 | + | 0.114984i | −0.993266 | − | 0.115860i | ||
0.972991 | + | 0.230844i | ||||||||
2.13282 | − | 12.0958i | 0.140634 | − | 0.797576i | |||||
0 | 0 | |||||||||
3.42893 | − | 2.87721i | 0.225120 | − | 0.188898i | |||||
6.94920 | − | 12.0364i | 0.455257 | − | 0.788529i | −0.543446 | − | 0.839444i | ||
0.998703 | + | 0.0509157i | ||||||||
0 | 0 | |||||||||
−3.32177 | − | 5.75347i | −0.216688 | − | 0.375315i | |||||
4.01831 | + | 1.46255i | 0.261570 | + | 0.0952037i | |||||
0 | 0 | |||||||||
−1.85197 | − | 1.55399i | −0.120045 | − | 0.100730i | |||||
18.6366 | − | 6.78318i | 1.20550 | − | 0.438767i | 0.340362 | − | 0.940295i | ||
0.865142 | + | 0.501527i | ||||||||
0 | 0 | |||||||||
3.36438 | + | 19.0804i | 0.216719 | + | 1.22907i | 0.877899 | + | 0.478846i | ||
−0.661180 | + | 0.750227i | ||||||||
23.0703 | 1.48301 | |||||||||
0 | 0 | |||||||||
2.51674 | 0.161118 | |||||||||
2.82091 | + | 15.9982i | 0.180222 | + | 1.02209i | |||||
0 | 0 | |||||||||
8.85048 | − | 3.22131i | 0.563143 | − | 0.204967i | |||||
6.75153 | + | 5.66521i | 0.428723 | + | 0.359741i | |||||
0 | 0 | |||||||||
14.9478 | + | 5.44055i | 0.945381 | + | 0.344090i | |||||
2.73786 | + | 4.74212i | 0.172812 | + | 0.299320i | 0.939402 | − | 0.342818i | ||
−0.766590 | + | 0.642137i | ||||||||
0 | 0 | |||||||||
0.342689 | − | 0.593554i | 0.0215447 | − | 0.0373164i | |||||
−8.47590 | + | 7.11212i | −0.531825 | + | 0.446254i | |||||
0 | 0 | |||||||||
1.01187 | − | 5.73859i | 0.0632418 | − | 0.358662i | |||||
−2.00827 | + | 11.3895i | −0.125272 | + | 0.710455i | 0.855873 | + | 0.517186i | ||
−0.981146 | + | 0.193270i | ||||||||
0 | 0 | |||||||||
−3.32698 | + | 2.79167i | −0.206729 | + | 0.173466i | |||||
−5.03743 | + | 8.72508i | −0.312408 | + | 0.541107i | |||||
0 | 0 | |||||||||
−7.65614 | − | 13.2608i | −0.472998 | − | 0.819257i | |||||
−6.08727 | − | 2.21558i | −0.375357 | − | 0.136619i | 0.147451 | − | 0.989069i | ||
−0.522808 | + | 0.852451i | ||||||||
0 | 0 | |||||||||
22.3870 | + | 18.7849i | 1.37522 | + | 1.15395i | |||||
12.0307 | − | 4.37881i | 0.737649 | − | 0.268482i | |||||
0 | 0 | |||||||||
0.368885 | + | 2.09205i | 0.0225332 | + | 0.127792i | |||||
−13.8387 | −0.843758 | −0.421879 | − | 0.906652i | ||||||
−0.421879 | + | 0.906652i | ||||||||
0 | 0 | |||||||||
1.94536 | 0.118172 | 0.0590860 | − | 0.998253i | ||||||
0.0590860 | + | 0.998253i | ||||||||
−0.573052 | − | 3.24994i | −0.0347464 | − | 0.197057i | |||||
0 | 0 | |||||||||
22.3746 | − | 8.14369i | 1.35170 | − | 0.491978i | |||||
−0.533835 | − | 0.447941i | −0.0321915 | − | 0.0270118i | |||||
0 | 0 | |||||||||
−11.7205 | − | 4.26591i | −0.704216 | − | 0.256314i | −0.0350062 | − | 0.999387i | ||
−0.669210 | + | 0.743073i | ||||||||
9.92713 | + | 17.1943i | 0.595390 | + | 1.03125i | |||||
0 | 0 | |||||||||
−1.32553 | + | 2.29588i | −0.0792154 | + | 0.137205i | |||||
7.47343 | − | 6.27095i | 0.445827 | − | 0.374094i | −0.392057 | − | 0.919941i | ||
0.837885 | + | 0.545847i | ||||||||
0 | 0 | |||||||||
4.61405 | − | 26.1676i | 0.274277 | − | 1.55550i | −0.466974 | − | 0.884271i | ||
0.741250 | − | 0.671229i | ||||||||
−4.13255 | + | 23.4368i | −0.245221 | + | 1.39072i | |||||
0 | 0 | |||||||||
−0.777960 | + | 0.652786i | −0.0460017 | + | 0.0386000i | |||||
−2.84173 | + | 4.92202i | −0.167742 | + | 0.290538i | |||||
0 | 0 | |||||||||
7.81006 | + | 13.5274i | 0.459415 | + | 0.795730i | |||||
23.5073 | + | 8.55596i | 1.38040 | + | 0.502423i | |||||
0 | 0 | |||||||||
−28.9573 | − | 24.2981i | −1.69460 | − | 1.42194i | |||||
−11.5182 | + | 4.19230i | −0.672903 | + | 0.244917i | −0.655797 | − | 0.754937i | ||
−0.0171059 | + | 0.999854i | ||||||||
0 | 0 | |||||||||
0.803336 | + | 4.55594i | 0.0467720 | + | 0.265257i | |||||
4.53888 | 0.263817 | |||||||||
0 | 0 | |||||||||
−40.3243 | −2.33592 | |||||||||
−0.568603 | − | 3.22471i | −0.0328832 | − | 0.186490i | |||||
0 | 0 | |||||||||
−5.10845 | + | 1.85933i | −0.294446 | + | 0.107170i | |||||
−6.50841 | − | 5.46121i | −0.374517 | − | 0.314257i | |||||
0 | 0 | |||||||||
16.4223 | + | 5.97724i | 0.941886 | + | 0.342818i | |||||
1.36137 | + | 2.35797i | 0.0779521 | + | 0.135017i | |||||
0 | 0 | |||||||||
13.2370 | − | 22.9271i | 0.755475 | − | 1.30852i | −0.189663 | − | 0.981849i | ||
0.945138 | − | 0.326671i | ||||||||
−0.585412 | + | 0.491219i | −0.0333569 | + | 0.0279898i | |||||
0 | 0 | |||||||||
−8.55325 | + | 48.5079i | −0.485792 | + | 2.75506i | |||||
−3.06654 | + | 17.3912i | −0.173887 | + | 0.986164i | 0.765533 | + | 0.643397i | ||
−0.939420 | + | 0.342768i | ||||||||
0 | 0 | |||||||||
7.39019 | − | 6.20111i | 0.417718 | − | 0.350507i | −0.409576 | − | 0.912276i | ||
0.827294 | + | 0.561769i | ||||||||
7.70019 | − | 13.3371i | 0.434547 | − | 0.752657i | |||||
0 | 0 | |||||||||
13.9056 | + | 24.0852i | 0.782250 | + | 1.35490i | |||||
3.48672 | + | 1.26906i | 0.195834 | + | 0.0712777i | 0.438075 | − | 0.898938i | ||
−0.242241 | + | 0.970216i | ||||||||
0 | 0 | |||||||||
1.06934 | + | 0.897284i | 0.0598716 | + | 0.0502382i | |||||
−28.4126 | + | 10.3414i | −1.58831 | + | 0.578099i | |||||
0 | 0 | |||||||||
−0.772918 | − | 4.38343i | −0.0430730 | − | 0.244279i | |||||
7.30748 | 0.406599 | |||||||||
0 | 0 | |||||||||
−3.32937 | −0.184680 | |||||||||
−4.57566 | − | 25.9499i | −0.253422 | − | 1.43723i | |||||
0 | 0 | |||||||||
5.58151 | − | 2.03150i | 0.308187 | − | 0.112171i | |||||
−1.84430 | − | 1.54755i | −0.101680 | − | 0.0853193i | |||||
0 | 0 | |||||||||
1.32759 | + | 0.483205i | 0.0729712 | + | 0.0265593i | 0.378248 | − | 0.925704i | ||
−0.305277 | + | 0.952264i | ||||||||
−5.80953 | − | 10.0624i | −0.318839 | − | 0.552246i | |||||
0 | 0 | |||||||||
−2.46786 | + | 4.27446i | −0.135035 | + | 0.233888i | |||||
−1.76053 | + | 1.47726i | −0.0961881 | + | 0.0807114i | |||||
0 | 0 | |||||||||
−2.25570 | + | 12.7927i | −0.122876 | + | 0.696864i | 0.859671 | + | 0.510848i | ||
−0.982547 | + | 0.186016i | ||||||||
3.93559 | − | 22.3199i | 0.214068 | − | 1.21404i | |||||
0 | 0 | |||||||||
−5.98797 | + | 5.02450i | −0.324743 | + | 0.272492i | |||||
−1.37428 | + | 2.38033i | −0.0744215 | + | 0.128902i | |||||
0 | 0 | |||||||||
6.34669 | + | 10.9928i | 0.342689 | + | 0.593555i | |||||
5.33878 | + | 1.94316i | 0.287848 | + | 0.104768i | |||||
0 | 0 | |||||||||
5.80839 | + | 4.87382i | 0.312261 | + | 0.262018i | |||||
4.51096 | − | 1.64185i | 0.242161 | − | 0.0881394i | −0.218089 | − | 0.975929i | ||
0.460250 | + | 0.887790i | ||||||||
0 | 0 | |||||||||
−3.92055 | − | 22.2346i | −0.209862 | − | 1.19019i | −0.889602 | − | 0.456736i | ||
0.679740 | − | 0.733453i | ||||||||
−4.52571 | −0.241909 | |||||||||
0 | 0 | |||||||||
−2.52845 | −0.134767 | |||||||||
−5.15849 | − | 29.2553i | −0.274559 | − | 1.55710i | −0.740360 | − | 0.672211i | ||
0.465801 | − | 0.884889i | ||||||||
0 | 0 | |||||||||
−24.1937 | + | 8.80578i | −1.28407 | + | 0.467362i | |||||
−29.4469 | − | 24.7089i | −1.56068 | − | 1.30957i | |||||
0 | 0 | |||||||||
−39.7710 | − | 14.4754i | −2.10196 | − | 0.765051i | |||||
−6.70991 | − | 11.6219i | −0.354136 | − | 0.613381i | 0.632834 | − | 0.774288i | ||
−0.986970 | + | 0.160906i | ||||||||
0 | 0 | |||||||||
−9.84920 | + | 17.0593i | −0.518379 | + | 0.897858i | |||||
−15.7802 | + | 13.2412i | −0.829392 | + | 0.695942i | |||||
0 | 0 | |||||||||
−0.633997 | + | 3.59558i | −0.0332305 | + | 0.188459i | |||||
7.10140 | − | 40.2740i | 0.371704 | − | 2.10804i | |||||
0 | 0 | |||||||||
−6.09004 | + | 5.11015i | −0.317897 | + | 0.266748i | −0.787747 | − | 0.615999i | ||
0.469850 | + | 0.882746i | ||||||||
3.03793 | − | 5.26184i | 0.158363 | − | 0.274293i | |||||
0 | 0 | |||||||||
12.6833 | + | 21.9681i | 0.659372 | + | 1.14207i | |||||
9.95192 | + | 3.62220i | 0.516678 | + | 0.188055i | |||||
0 | 0 | |||||||||
−8.74862 | − | 7.34096i | −0.452986 | − | 0.380101i | 0.387556 | − | 0.921846i | ||
−0.840543 | + | 0.541745i | ||||||||
−0.740415 | + | 0.269489i | −0.0382860 | + | 0.0139350i | |||||
0 | 0 | |||||||||
0.436918 | + | 2.47789i | 0.0225323 | + | 0.127787i | |||||
6.66917 | 0.343480 | |||||||||
0 | 0 | |||||||||
−24.1705 | −1.24155 | −0.620777 | − | 0.783987i | ||||||
−0.620777 | + | 0.783987i | ||||||||
−7.18821 | − | 40.7664i | −0.368748 | − | 2.09127i | |||||
0 | 0 | |||||||||
−35.3173 | + | 12.8544i | −1.80699 | + | 0.657690i | |||||
7.23397 | + | 6.07003i | 0.369639 | + | 0.310164i | 0.808619 | − | 0.588333i | ||
−0.438980 | + | 0.898497i | ||||||||
0 | 0 | |||||||||
−0.776895 | − | 0.282767i | −0.0395942 | − | 0.0144111i | |||||
11.2015 | + | 19.4016i | 0.570143 | + | 0.987516i | |||||
0 | 0 | |||||||||
6.88162 | − | 11.9193i | 0.349361 | − | 0.605111i | |||||
−1.95166 | + | 1.63763i | −0.0989529 | + | 0.0830314i | −0.690922 | − | 0.722929i | ||
0.591969 | + | 0.805961i | ||||||||
0 | 0 | |||||||||
0.441160 | − | 2.50194i | 0.0223104 | − | 0.126529i | |||||
1.06837 | − | 6.05902i | 0.0539607 | − | 0.306027i | |||||
0 | 0 | |||||||||
−22.9576 | + | 19.2637i | −1.15659 | + | 0.970492i | |||||
−15.0438 | + | 26.0567i | −0.756937 | + | 1.31105i | |||||
0 | 0 | |||||||||
−1.83759 | − | 3.18279i | −0.0922258 | − | 0.159740i | 0.816222 | − | 0.577739i | ||
−0.908447 | + | 0.417999i | ||||||||
14.9973 | + | 5.45855i | 0.751744 | + | 0.273613i | |||||
0 | 0 | |||||||||
−4.73244 | − | 3.97098i | −0.236622 | − | 0.198549i | |||||
−15.1748 | + | 5.52319i | −0.757795 | + | 0.275815i | −0.691882 | − | 0.722010i | ||
−0.0659131 | + | 0.997825i | ||||||||
0 | 0 | |||||||||
2.28027 | + | 12.9320i | 0.113588 | + | 0.644190i | |||||
−25.1458 | −1.25105 | |||||||||
0 | 0 | |||||||||
9.06558 | 0.449917 | |||||||||
0.245797 | + | 1.39399i | 0.0121837 | + | 0.0690973i | |||||
0 | 0 | |||||||||
−8.62823 | + | 3.14042i | −0.426639 | + | 0.155284i | −0.546410 | − | 0.837518i | ||
0.119772 | + | 0.992801i | ||||||||
25.4292 | + | 21.3376i | 1.25586 | + | 1.05379i | |||||
0 | 0 | |||||||||
22.9633 | + | 8.35797i | 1.13132 | + | 0.411767i | |||||
0.838253 | + | 1.45190i | 0.0412477 | + | 0.0714432i | |||||
0 | 0 | |||||||||
6.28506 | − | 10.8860i | 0.308522 | − | 0.534375i | |||||
−9.25374 | + | 7.76481i | −0.453702 | + | 0.380701i | |||||
0 | 0 | |||||||||
0.724578 | − | 4.10929i | 0.0354403 | − | 0.200992i | |||||
−1.21187 | + | 6.87285i | −0.0592037 | + | 0.335761i | −0.999995 | − | 0.00322608i | ||
0.940791 | + | 0.338987i | ||||||||
0 | 0 | |||||||||
23.6023 | − | 19.8047i | 1.15031 | − | 0.965221i | 0.150579 | − | 0.988598i | ||
0.999727 | + | 0.0233767i | ||||||||
5.51765 | − | 9.55686i | 0.268595 | − | 0.465221i | |||||
0 | 0 | |||||||||
−5.53405 | − | 9.58526i | −0.268757 | − | 0.465502i | |||||
−2.42736 | − | 0.883488i | −0.117744 | − | 0.0428555i | |||||
0 | 0 | |||||||||
0.755857 | + | 0.634240i | 0.0365785 | + | 0.0306930i | |||||
−12.0507 | + | 4.38609i | −0.582491 | + | 0.212010i | |||||
0 | 0 | |||||||||
5.51365 | + | 31.2694i | 0.265892 | + | 1.50795i | |||||
27.8971 | 1.34376 | 0.671879 | − | 0.740661i | ||||||
0.671879 | + | 0.740661i | ||||||||
0 | 0 | |||||||||
19.1706 | 0.921278 | 0.460639 | − | 0.887588i | ||||||
0.460639 | + | 0.887588i | ||||||||
3.09963 | + | 17.5789i | 0.148787 | + | 0.843812i | |||||
0 | 0 | |||||||||
17.0377 | − | 6.20120i | 0.815956 | − | 0.296984i | |||||
10.3064 | + | 8.64806i | 0.493020 | + | 0.413693i | |||||
0 | 0 | |||||||||
22.3167 | + | 8.12263i | 1.06512 | + | 0.387672i | 0.814350 | − | 0.580375i | ||
0.250770 | + | 0.968047i | ||||||||
0.432015 | + | 0.748272i | 0.0205955 | + | 0.0356725i | |||||
0 | 0 | |||||||||
−1.88221 | + | 3.26009i | −0.0895278 | + | 0.155067i | |||||
17.8935 | − | 15.0144i | 0.850144 | − | 0.713356i | −0.109677 | − | 0.993967i | ||
0.959821 | + | 0.280612i | ||||||||
0 | 0 | |||||||||
7.22146 | − | 40.9549i | 0.342330 | − | 1.94145i | |||||
−6.50332 | + | 36.8821i | −0.307941 | + | 1.74642i | |||||
0 | 0 | |||||||||
−8.39379 | + | 7.04323i | −0.396569 | + | 0.332761i | |||||
−2.40953 | + | 4.17343i | −0.113713 | + | 0.196956i | −0.917264 | − | 0.398279i | ||
0.803552 | + | 0.595235i | ||||||||
0 | 0 | |||||||||
0.926176 | + | 1.60418i | 0.0436119 | + | 0.0755380i | |||||
−24.1807 | − | 8.80105i | −1.13736 | − | 0.413966i | |||||
0 | 0 | |||||||||
25.5731 | + | 21.4584i | 1.20021 | + | 1.00709i | |||||
−3.71169 | + | 1.35095i | −0.174007 | + | 0.0633333i | |||||
0 | 0 | |||||||||
−0.849765 | − | 4.81926i | −0.0397503 | − | 0.225435i | 0.958461 | − | 0.285225i | ||
−0.998211 | + | 0.0597894i | ||||||||
3.73978 | 0.174749 | |||||||||
0 | 0 | |||||||||
−14.3916 | −0.671012 | |||||||||
4.86049 | + | 27.5652i | 0.226376 | + | 1.28384i | 0.860038 | + | 0.510230i | ||
−0.633662 | + | 0.773610i | ||||||||
0 | 0 | |||||||||
25.8184 | − | 9.39712i | 1.19988 | − | 0.436721i | 0.336699 | − | 0.941612i | ||
0.863183 | + | 0.504891i | ||||||||
9.47968 | + | 7.95440i | 0.440083 | + | 0.369274i | |||||
0 | 0 | |||||||||
−27.6436 | − | 10.0614i | −1.28056 | − | 0.466087i | |||||
10.6232 | + | 18.4000i | 0.491585 | + | 0.851450i | 0.999953 | − | 0.00968963i | ||
−0.508368 | + | 0.861140i | ||||||||
0 | 0 | |||||||||
−0.416426 | + | 0.721272i | −0.0192288 | + | 0.0333052i | |||||
−10.7720 | + | 9.03879i | −0.496876 | + | 0.416928i | |||||
0 | 0 | |||||||||
0.304248 | − | 1.72548i | 0.0140042 | − | 0.0794215i | |||||
−0.307669 | + | 1.74488i | −0.0141466 | + | 0.0802296i | |||||
0 | 0 | |||||||||
10.4792 | − | 8.79310i | 0.480819 | − | 0.403455i | |||||
−1.41636 | + | 2.45321i | −0.0649188 | + | 0.112443i | |||||
0 | 0 | |||||||||
−20.9892 | − | 36.3543i | −0.960022 | − | 1.66281i | |||||
39.1653 | + | 14.2550i | 1.78951 | + | 0.651328i | 0.999257 | + | 0.0385448i | ||
0.790251 | + | 0.612783i | ||||||||
0 | 0 | |||||||||
5.18048 | + | 4.34694i | 0.236210 | + | 0.198203i | |||||
38.5358 | − | 14.0259i | 1.75526 | − | 0.638861i | |||||
0 | 0 | |||||||||
−4.69405 | − | 26.6213i | −0.213366 | − | 1.21006i | |||||
14.8898 | 0.676112 | |||||||||
0 | 0 | |||||||||
4.02801 | 0.182527 | 0.0912634 | − | 0.995827i | ||||||
0.0912634 | + | 0.995827i | ||||||||
−0.179064 | − | 1.01552i | −0.00810585 | − | 0.0459706i | |||||
0 | 0 | |||||||||
32.3109 | − | 11.7602i | 1.45966 | − | 0.531272i | |||||
−29.5857 | − | 24.8253i | −1.33518 | − | 1.12035i | −0.982836 | − | 0.184482i | ||
−0.352347 | − | 0.935869i | ||||||||
0 | 0 | |||||||||
4.86233 | + | 1.76974i | 0.218988 | + | 0.0797052i | |||||
−9.96769 | − | 17.2645i | −0.448468 | − | 0.776769i | |||||
0 | 0 | |||||||||
−12.1830 | + | 21.1015i | −0.547032 | + | 0.947487i | |||||
−7.14741 | + | 5.99739i | −0.320605 | + | 0.269020i | |||||
0 | 0 | |||||||||
−0.707071 | + | 4.01000i | −0.0316528 | + | 0.179512i | −0.996535 | − | 0.0831694i | ||
0.964883 | + | 0.262682i | ||||||||
3.23657 | − | 18.3555i | 0.144744 | − | 0.820884i | |||||
0 | 0 | |||||||||
8.87849 | − | 7.44994i | 0.396266 | − | 0.332507i | |||||
1.71297 | − | 2.96695i | 0.0763775 | − | 0.132290i | −0.825307 | − | 0.564684i | ||
0.901684 | + | 0.432395i | ||||||||
0 | 0 | |||||||||
−13.6020 | − | 23.5594i | −0.605282 | − | 1.04838i | |||||
−1.36320 | − | 0.496164i | −0.0606016 | − | 0.0220572i | |||||
0 | 0 | |||||||||
9.93139 | + | 8.33343i | 0.440634 | + | 0.369736i | |||||
11.5238 | − | 4.19434i | 0.510785 | − | 0.185911i | −0.0737534 | − | 0.997277i | ||
0.584539 | + | 0.811366i | ||||||||
0 | 0 | |||||||||
−2.57349 | − | 14.5950i | −0.113844 | − | 0.645644i | |||||
−28.1241 | −1.24292 | |||||||||
0 | 0 | |||||||||
24.4791 | 1.07973 | |||||||||
4.59080 | + | 26.0357i | 0.202295 | + | 1.14727i | |||||
0 | 0 | |||||||||
−0.737350 | + | 0.268373i | −0.0324286 | + | 0.0118030i | |||||
7.04196 | + | 5.90891i | 0.309406 | + | 0.259623i | |||||
0 | 0 | |||||||||
3.87904 | + | 1.41186i | 0.170107 | + | 0.0619140i | |||||
−7.04117 | − | 12.1957i | −0.308479 | − | 0.534302i | 0.669551 | − | 0.742766i | ||
−0.978030 | + | 0.208465i | ||||||||
0 | 0 | |||||||||
−4.88956 | + | 8.46897i | −0.213806 | + | 0.370322i | −0.952902 | − | 0.303277i | ||
0.739097 | + | 0.673599i | ||||||||
−13.7442 | + | 11.5327i | −0.600416 | + | 0.503809i | |||||
0 | 0 | |||||||||
−2.38095 | + | 13.5030i | −0.103814 | + | 0.588761i | |||||
−1.76918 | + | 10.0335i | −0.0770667 | + | 0.437067i | |||||
0 | 0 | |||||||||
−14.0359 | + | 11.7775i | −0.610256 | + | 0.512065i | |||||
30.9283 | − | 53.5694i | 1.34344 | − | 2.32691i | |||||
0 | 0 | |||||||||
−7.50065 | − | 12.9915i | −0.325195 | − | 0.563254i | |||||
8.31608 | + | 3.02681i | 0.360209 | + | 0.131105i | |||||
0 | 0 | |||||||||
−10.6279 | − | 8.91789i | −0.459485 | − | 0.385554i | |||||
0.817912 | − | 0.297696i | 0.0353284 | − | 0.0128585i | |||||
0 | 0 | |||||||||
5.08637 | + | 28.8462i | 0.219289 | + | 1.24365i | |||||
1.91871 | 0.0826445 | |||||||||
0 | 0 | |||||||||
40.9454 | 1.76038 | 0.880189 | − | 0.474623i | ||||||
0.880189 | + | 0.474623i | ||||||||
−0.715012 | − | 4.05503i | −0.0307124 | − | 0.174179i | |||||
0 | 0 | |||||||||
−8.80715 | + | 3.20554i | −0.377604 | + | 0.137436i | |||||
15.0261 | + | 12.6084i | 0.643648 | + | 0.540085i | |||||
0 | 0 | |||||||||
−1.04332 | − | 0.379737i | −0.0446091 | − | 0.0162364i | 0.319619 | − | 0.947546i | ||
−0.364228 | + | 0.931310i | ||||||||
−13.9497 | − | 24.1615i | −0.595900 | − | 1.03213i | |||||
0 | 0 | |||||||||
−0.737508 | + | 1.27740i | −0.0314474 | + | 0.0544686i | |||||
−20.9912 | + | 17.6137i | −0.894256 | + | 0.750370i | |||||
0 | 0 | |||||||||
−1.89338 | + | 10.7379i | −0.0805145 | + | 0.456620i | |||||
−4.58431 | + | 25.9989i | −0.194769 | + | 1.10459i | |||||
0 | 0 | |||||||||
17.8210 | − | 14.9536i | 0.755779 | − | 0.634174i | |||||
−17.5201 | + | 30.3458i | −0.742352 | + | 1.28579i | 0.209070 | + | 0.977901i | ||
−0.951422 | + | 0.307890i | ||||||||
0 | 0 | |||||||||
4.23247 | + | 7.33084i | 0.179014 | + | 0.310062i | |||||
−6.88716 | − | 2.50672i | −0.291035 | − | 0.105928i | |||||
0 | 0 | |||||||||
−15.8184 | − | 13.2732i | −0.667260 | − | 0.559898i | |||||
36.4330 | − | 13.2605i | 1.53547 | − | 0.558865i | 0.570515 | − | 0.821287i | ||
0.964953 | + | 0.262423i | ||||||||
0 | 0 | |||||||||
−4.83417 | − | 27.4159i | −0.203375 | − | 1.15340i | |||||
−56.2413 | −2.36400 | |||||||||
0 | 0 | |||||||||
9.75095 | 0.409141 | |||||||||
−5.89854 | − | 33.4523i | −0.247280 | − | 1.40239i | −0.815138 | − | 0.579266i | ||
0.567859 | − | 0.823126i | ||||||||
0 | 0 | |||||||||
−9.48043 | + | 3.45060i | −0.396744 | + | 0.144403i | −0.532684 | − | 0.846314i | ||
0.135940 | + | 0.990717i | ||||||||
0.911552 | + | 0.764883i | 0.0381139 | + | 0.0319814i | |||||
0 | 0 | |||||||||
11.3043 | + | 4.11442i | 0.471831 | + | 0.171732i | |||||
−2.37795 | − | 4.11873i | −0.0991674 | − | 0.171763i | |||||
0 | 0 | |||||||||
6.06615 | − | 10.5069i | 0.252537 | − | 0.437407i | −0.711687 | − | 0.702497i | ||
0.964224 | + | 0.265090i | ||||||||
25.3269 | − | 21.2518i | 1.05346 | − | 0.883957i | |||||
0 | 0 | |||||||||
5.08993 | − | 28.8664i | 0.211348 | − | 1.19861i | |||||
0.791021 | − | 4.48611i | 0.0328171 | − | 0.186115i | |||||
0 | 0 | |||||||||
2.64414 | − | 2.21870i | 0.109509 | − | 0.0918892i | |||||
−7.74416 | + | 13.4133i | −0.320456 | + | 0.555046i | |||||
0 | 0 | |||||||||
12.9722 | + | 22.4685i | 0.535877 | + | 0.928167i | |||||
−29.8345 | − | 10.8589i | −1.23140 | − | 0.448193i | −0.357324 | − | 0.933981i | ||
−0.874077 | + | 0.485787i | ||||||||
0 | 0 | |||||||||
−41.3315 | − | 34.6812i | −1.70303 | − | 1.42902i | |||||
9.20145 | − | 3.34905i | 0.378818 | − | 0.137878i | |||||
0 | 0 | |||||||||
2.17899 | + | 12.3576i | 0.0895558 | + | 0.507896i | |||||
13.4906 | 0.553993 | 0.276996 | − | 0.960871i | ||||||
0.276996 | + | 0.960871i | ||||||||
0 | 0 | |||||||||
−3.06459 | −0.125636 | |||||||||
8.20467 | + | 46.5310i | 0.336077 | + | 1.90598i | |||||
0 | 0 | |||||||||
−6.51281 | + | 2.37047i | −0.266329 | + | 0.0969357i | |||||
−32.5036 | − | 27.2737i | −1.32806 | − | 1.11437i | −0.984527 | − | 0.175233i | ||
−0.343532 | − | 0.939141i | ||||||||
0 | 0 | |||||||||
18.6104 | + | 6.77362i | 0.759133 | + | 0.276302i | 0.692444 | − | 0.721472i | ||
0.0666892 | + | 0.997774i | ||||||||
5.75330 | + | 9.96501i | 0.234487 | + | 0.406144i | |||||
0 | 0 | |||||||||
−4.97755 | + | 8.62136i | −0.202533 | + | 0.350798i | |||||
22.4027 | − | 18.7981i | 0.910798 | − | 0.764251i | |||||
0 | 0 | |||||||||
−6.25117 | + | 35.4521i | −0.253727 | + | 1.43896i | 0.545592 | + | 0.838051i | ||
−0.799319 | + | 0.600906i | ||||||||
8.61877 | − | 48.8795i | 0.349537 | − | 1.98232i | |||||
0 | 0 | |||||||||
4.41474 | − | 3.70441i | 0.178748 | − | 0.149987i | |||||
−1.87442 | + | 3.24659i | −0.0758310 | + | 0.131343i | |||||
0 | 0 | |||||||||
−13.2314 | − | 22.9175i | −0.534411 | − | 0.925627i | −0.999192 | − | 0.0402013i | ||
0.464780 | − | 0.885426i | ||||||||
−52.6561 | − | 19.1652i | −2.12503 | − | 0.773446i | |||||
0 | 0 | |||||||||
0.239862 | + | 0.201268i | 0.00966431 | + | 0.00810932i | |||||
−46.1546 | + | 16.7989i | −1.85812 | + | 0.676299i | −0.877747 | + | 0.479124i | ||
−0.980368 | + | 0.197175i | ||||||||
0 | 0 | |||||||||
−4.20336 | − | 23.8385i | −0.168947 | − | 0.958149i | −0.944900 | − | 0.327358i | ||
0.775953 | − | 0.630791i | ||||||||
57.7145 | 2.31787 | |||||||||
0 | 0 | |||||||||
37.3785 | 1.49874 | |||||||||
−2.61700 | − | 14.8417i | −0.104848 | − | 0.594621i | |||||
0 | 0 | |||||||||
29.2803 | − | 10.6571i | 1.17121 | − | 0.426286i | |||||
−15.6422 | − | 13.1254i | −0.625190 | − | 0.524597i | |||||
0 | 0 | |||||||||
−16.9567 | − | 6.17173i | −0.676646 | − | 0.246279i | |||||
2.62345 | + | 4.54395i | 0.104604 | + | 0.181179i | |||||
0 | 0 | |||||||||
−8.84842 | + | 15.3259i | −0.352250 | + | 0.610115i | −0.986643 | − | 0.162895i | ||
0.634393 | + | 0.773010i | ||||||||
8.72917 | − | 7.32464i | 0.347228 | − | 0.291359i | |||||
0 | 0 | |||||||||
1.36378 | − | 7.73439i | 0.0541627 | − | 0.307172i | |||||
−2.43554 | + | 13.8126i | −0.0966514 | + | 0.548137i | |||||
0 | 0 | |||||||||
7.02218 | − | 5.89231i | 0.278229 | − | 0.233462i | |||||
1.47732 | − | 2.55880i | 0.0584878 | − | 0.101304i | |||||
0 | 0 | |||||||||
10.5917 | + | 18.3454i | 0.418676 | + | 0.725167i | |||||
−35.7557 | − | 13.0140i | −1.41226 | − | 0.514022i | −0.480471 | − | 0.877011i | ||
−0.931794 | + | 0.362988i | ||||||||
0 | 0 | |||||||||
35.9600 | + | 30.1741i | 1.41813 | + | 1.18995i | 0.952335 | + | 0.305053i | ||
0.465790 | + | 0.884895i | ||||||||
−4.90087 | + | 1.78377i | −0.193121 | + | 0.0702904i | |||||
0 | 0 | |||||||||
−2.68585 | − | 15.2322i | −0.105673 | − | 0.599303i | |||||
−28.2333 | −1.10997 | −0.554983 | − | 0.831862i | ||||||
−0.554983 | + | 0.831862i | ||||||||
0 | 0 | |||||||||
0.546406 | 0.0214483 | |||||||||
1.22370 | + | 6.93997i | 0.0479976 | + | 0.272208i | |||||
0 | 0 | |||||||||
−29.0131 | + | 10.5599i | −1.13624 | + | 0.413557i | |||||
27.0469 | + | 22.6950i | 1.05843 | + | 0.888125i | 0.993954 | − | 0.109794i | ||
0.0644721 | + | 0.997920i | ||||||||
0 | 0 | |||||||||
−18.2398 | − | 6.63873i | −0.712686 | − | 0.259397i | |||||
8.21052 | + | 14.2210i | 0.320567 | + | 0.555239i | |||||
0 | 0 | |||||||||
−2.54795 | + | 4.41318i | −0.0993295 | + | 0.172044i | |||||
31.9392 | − | 26.8002i | 1.24418 | − | 1.04399i | 0.246990 | − | 0.969018i | ||
0.997186 | − | 0.0749700i | ||||||||
0 | 0 | |||||||||
0.221213 | − | 1.25456i | 0.00860418 | − | 0.0487967i | −0.980203 | − | 0.197993i | ||
0.988808 | + | 0.149197i | ||||||||
0.519270 | − | 2.94493i | 0.0201820 | − | 0.114458i | |||||
0 | 0 | |||||||||
−3.64691 | + | 3.06012i | −0.141527 | + | 0.118756i | |||||
8.11461 | − | 14.0549i | 0.314671 | − | 0.545027i | |||||
0 | 0 | |||||||||
4.76334 | + | 8.25035i | 0.184437 | + | 0.319455i | |||||
5.43452 | + | 1.97800i | 0.210268 | + | 0.0765312i | |||||
0 | 0 | |||||||||
3.72638 | + | 3.12680i | 0.143963 | + | 0.120799i | |||||
0.302191 | − | 0.109989i | 0.0116660 | − | 0.00424606i | |||||
0 | 0 | |||||||||
6.18756 | + | 35.0914i | 0.238513 | + | 1.35267i | 0.835088 | + | 0.550117i | ||
−0.596575 | + | 0.802558i | ||||||||
27.4951 | 1.05907 | |||||||||
0 | 0 | |||||||||
−26.5561 | −1.02139 | |||||||||
3.12600 | + | 17.7284i | 0.120142 | + | 0.681358i | 0.984075 | + | 0.177752i | ||
−0.863934 | + | 0.503606i | ||||||||
0 | 0 | |||||||||
5.07053 | − | 1.84552i | 0.194589 | − | 0.0708246i | |||||
2.45346 | + | 2.05870i | 0.0940859 | + | 0.0789474i | |||||
0 | 0 | |||||||||
5.46682 | + | 1.98976i | 0.209336 | + | 0.0761919i | |||||
−19.8807 | − | 34.4344i | −0.760715 | − | 1.31760i | −0.942483 | − | 0.334255i | ||
0.181768 | − | 0.983341i | ||||||||
0 | 0 | |||||||||
15.0915 | − | 26.1393i | 0.576617 | − | 0.998730i | |||||
20.5814 | − | 17.2698i | 0.785801 | − | 0.659366i | |||||
0 | 0 | |||||||||
−2.72748 | + | 15.4683i | −0.103984 | + | 0.589724i | |||||
2.86359 | − | 16.2402i | 0.109094 | − | 0.618703i | |||||
0 | 0 | |||||||||
−12.9007 | + | 10.8250i | −0.490767 | + | 0.411802i | −0.854301 | − | 0.519779i | ||
0.363534 | + | 0.931581i | ||||||||
4.44218 | − | 7.69408i | 0.168866 | − | 0.292485i | |||||
0 | 0 | |||||||||
−5.08038 | − | 8.79948i | −0.192849 | − | 0.334024i | |||||
23.6501 | + | 8.60793i | 0.897099 | + | 0.326517i | |||||
0 | 0 | |||||||||
5.25985 | + | 4.41354i | 0.199231 | + | 0.167175i | |||||
−44.9062 | + | 16.3445i | −1.69973 | + | 0.618649i | |||||
0 | 0 | |||||||||
0.920833 | + | 5.22230i | 0.0348042 | + | 0.197385i | |||||
−8.96921 | −0.338762 | −0.169381 | − | 0.985551i | ||||||
−0.169381 | + | 0.985551i | ||||||||
0 | 0 | |||||||||
−27.7861 | −1.04797 | |||||||||
0.620133 | + | 3.51695i | 0.0233721 | + | 0.132550i | |||||
0 | 0 | |||||||||
−59.0856 | + | 21.5054i | −2.22372 | + | 0.809366i | |||||
−7.55207 | − | 6.33694i | −0.284025 | − | 0.238325i | |||||
0 | 0 | |||||||||
−17.0476 | − | 6.20480i | −0.640235 | − | 0.233026i | 0.00144523 | − | 0.999999i | ||
−0.641680 | + | 0.766973i | ||||||||
27.2477 | + | 47.1944i | 1.02259 | + | 1.77117i | |||||
0 | 0 | |||||||||
−7.87509 | + | 13.6401i | −0.295131 | + | 0.511183i | |||||
−14.3694 | + | 12.0574i | −0.538139 | + | 0.451552i | |||||
0 | 0 | |||||||||
−0.223546 | + | 1.26779i | −0.00836014 | + | 0.0474127i | |||||
−8.61142 | + | 48.8378i | −0.321824 | + | 1.82515i | |||||
0 | 0 | |||||||||
−21.7593 | + | 18.2582i | −0.812049 | + | 0.681390i | |||||
−15.7860 | + | 27.3421i | −0.588718 | + | 1.01969i | 0.405683 | + | 0.914014i | ||
−0.994401 | + | 0.105675i | ||||||||
0 | 0 | |||||||||
4.79034 | + | 8.29711i | 0.178402 | + | 0.309001i | |||||
39.1796 | + | 14.2602i | 1.45811 | + | 0.530710i | |||||
0 | 0 | |||||||||
18.4901 | + | 15.5150i | 0.687177 | + | 0.576610i | |||||
9.10230 | − | 3.31296i | 0.338051 | − | 0.123040i | |||||
0 | 0 | |||||||||
6.66970 | + | 37.8257i | 0.247365 | + | 1.40288i | 0.814934 | + | 0.579553i | ||
−0.567569 | + | 0.823326i | ||||||||
1.49595 | 0.0554436 | |||||||||
0 | 0 | |||||||||
−86.5599 | −3.20373 | |||||||||
1.14046 | + | 6.46787i | 0.0421814 | + | 0.239223i | |||||
0 | 0 | |||||||||
28.5012 | − | 10.3736i | 1.05271 | − | 0.383157i | 0.243028 | − | 0.970019i | ||
0.809686 | + | 0.586863i | ||||||||
12.8903 | + | 10.8163i | 0.475790 | + | 0.399235i | |||||
0 | 0 | |||||||||
−16.2151 | − | 5.90181i | −0.597696 | − | 0.217543i | |||||
0.135721 | + | 0.235076i | 0.00499936 | + | 0.00865915i | |||||
0 | 0 | |||||||||
−5.00127 | + | 8.66245i | −0.183975 | + | 0.318653i | −0.943230 | − | 0.332139i | ||
0.759256 | + | 0.650792i | ||||||||
22.7688 | − | 19.1053i | 0.836997 | − | 0.702324i | |||||
0 | 0 | |||||||||
3.89255 | − | 22.0758i | 0.142900 | − | 0.810427i | |||||
6.29888 | − | 35.7227i | 0.231083 | − | 1.31054i | −0.619624 | − | 0.784899i | ||
0.850707 | − | 0.525640i | ||||||||
0 | 0 | |||||||||
−39.1574 | + | 32.8570i | −1.43462 | + | 1.20379i | |||||
−12.0865 | + | 20.9344i | −0.442517 | + | 0.766461i | |||||
0 | 0 | |||||||||
0.461619 | + | 0.799548i | 0.0168785 | + | 0.0292344i | |||||
−4.72453 | − | 1.71959i | −0.172631 | − | 0.0628324i | |||||
0 | 0 | |||||||||
−11.1493 | − | 9.35536i | −0.406843 | − | 0.341382i | 0.416288 | − | 0.909233i | ||
−0.823132 | + | 0.567851i | ||||||||
−6.53659 | + | 2.37912i | −0.238365 | + | 0.0867577i | |||||
0 | 0 | |||||||||
−2.45124 | − | 13.9017i | −0.0892688 | − | 0.506268i | |||||
−10.7700 | −0.391959 | |||||||||
0 | 0 | |||||||||
−45.5754 | −1.65646 | −0.828232 | − | 0.560385i | ||||||
−0.828232 | + | 0.560385i | ||||||||
8.88380 | + | 50.3826i | 0.322674 | + | 1.82998i | |||||
0 | 0 | |||||||||
−15.9381 | + | 5.80099i | −0.578135 | + | 0.210424i | |||||
17.0411 | + | 14.2992i | 0.617739 | + | 0.518344i | 0.897092 | − | 0.441844i | ||
−0.279353 | + | 0.960188i | ||||||||
0 | 0 | |||||||||
6.67970 | + | 2.43121i | 0.241821 | + | 0.0880158i | |||||
22.0189 | + | 38.1379i | 0.796616 | + | 1.37978i | |||||
0 | 0 | |||||||||
9.99393 | − | 17.3100i | 0.361096 | − | 0.625436i | |||||
1.99976 | − | 1.67800i | 0.0722073 | − | 0.0605891i | |||||
0 | 0 | |||||||||
2.37289 | − | 13.4573i | 0.0855686 | − | 0.485284i | −0.911664 | − | 0.410937i | ||
0.997232 | − | 0.0743470i | ||||||||
−0.303872 | + | 1.72334i | −0.0109508 | + | 0.0621049i | |||||
0 | 0 | |||||||||
20.1088 | − | 16.8733i | 0.723730 | − | 0.607282i | |||||
10.3270 | − | 17.8869i | 0.371436 | − | 0.643345i | −0.618351 | − | 0.785902i | ||
0.989787 | + | 0.142557i | ||||||||
0 | 0 | |||||||||
9.53628 | + | 16.5173i | 0.342553 | + | 0.593319i | |||||
−5.29915 | − | 1.92873i | −0.190228 | − | 0.0692374i | |||||
0 | 0 | |||||||||
4.13092 | + | 3.46625i | 0.148101 | + | 0.124271i | |||||
−34.1689 | + | 12.4364i | −1.22423 | + | 0.445582i | |||||
0 | 0 | |||||||||
0.528050 | + | 2.99472i | 0.0188951 | + | 0.107160i | |||||
−5.37736 | −0.192294 | |||||||||
0 | 0 | |||||||||
17.0093 | 0.607474 | |||||||||
−3.38996 | − | 19.2254i | −0.120993 | − | 0.686185i | |||||
0 | 0 | |||||||||
23.2136 | − | 8.44905i | 0.827475 | − | 0.301176i | 0.106653 | − | 0.994296i | ||
0.720822 | + | 0.693120i | ||||||||
26.8999 | + | 22.5717i | 0.958270 | + | 0.804084i | |||||
0 | 0 | |||||||||
59.8435 | + | 21.7813i | 2.12914 | + | 0.774943i | |||||
−5.04429 | − | 8.73696i | −0.179354 | − | 0.310651i | |||||
0 | 0 | |||||||||
0.768202 | − | 1.33057i | 0.0272797 | − | 0.0472498i | |||||
−5.95902 | + | 5.00022i | −0.211478 | + | 0.177451i | |||||
0 | 0 | |||||||||
3.24728 | − | 18.4163i | 0.115097 | − | 0.652747i | |||||
−5.30769 | + | 30.1014i | −0.188008 | + | 1.06625i | 0.734021 | + | 0.679127i | ||
−0.922029 | + | 0.387120i | ||||||||
0 | 0 | |||||||||
−2.22812 | + | 1.86961i | −0.0788251 | + | 0.0661421i | |||||
−8.77257 | + | 15.1945i | −0.310157 | + | 0.537208i | |||||
0 | 0 | |||||||||
17.0904 | + | 29.6014i | 0.603482 | + | 1.04526i | |||||
−4.53887 | − | 1.65201i | −0.160173 | − | 0.0582983i | |||||
0 | 0 | |||||||||
−4.32225 | − | 3.62680i | −0.152339 | − | 0.127828i | |||||
26.1183 | − | 9.50628i | 0.919977 | − | 0.334844i | |||||
0 | 0 | |||||||||
1.78910 | + | 10.1465i | 0.0629403 | + | 0.356952i | |||||
46.8599 | 1.64751 | 0.823753 | − | 0.566949i | ||||||
0.823753 | + | 0.566949i | ||||||||
0 | 0 | |||||||||
10.9984 | 0.386206 | 0.193103 | − | 0.981178i | ||||||
0.193103 | + | 0.981178i | ||||||||
−1.84455 | − | 10.4610i | −0.0647309 | − | 0.367107i | |||||
0 | 0 | |||||||||
2.81537 | − | 1.02471i | 0.0986788 | − | 0.0359161i | |||||
−25.5877 | − | 21.4706i | −0.896297 | − | 0.752082i | |||||
0 | 0 | |||||||||
−32.6829 | − | 11.8956i | −1.14343 | − | 0.416175i | |||||
9.71738 | + | 16.8310i | 0.339760 | + | 0.588482i | |||||
0 | 0 | |||||||||
19.4479 | − | 33.6847i | 0.679150 | − | 1.17632i | |||||
−27.5648 | + | 23.1296i | −0.962019 | + | 0.807230i | −0.981280 | − | 0.192585i | ||
0.0192613 | + | 0.999814i | ||||||||
0 | 0 | |||||||||
−8.50644 | + | 48.2424i | −0.296516 | + | 1.68163i | 0.364461 | + | 0.931219i | ||
−0.660977 | + | 0.750406i | ||||||||
1.73868 | − | 9.86053i | 0.0605697 | − | 0.343508i | |||||
0 | 0 | |||||||||
2.71833 | − | 2.28095i | 0.0945829 | − | 0.0793645i | |||||
7.80533 | − | 13.5192i | 0.271418 | − | 0.470109i | −0.697807 | − | 0.716286i | ||
0.969225 | + | 0.246176i | ||||||||
0 | 0 | |||||||||
−5.73541 | − | 9.93401i | −0.199199 | − | 0.345023i | 0.749070 | − | 0.662491i | ||
−0.948269 | + | 0.317468i | ||||||||
−25.0017 | − | 9.09986i | −0.867820 | − | 0.315861i | |||||
0 | 0 | |||||||||
13.0701 | + | 10.9671i | 0.453123 | + | 0.380215i | |||||
6.68329 | − | 2.43252i | 0.231562 | − | 0.0842817i | |||||
0 | 0 | |||||||||
1.08646 | + | 6.16163i | 0.0375986 | + | 0.213232i | |||||
−4.88922 | −0.169097 | |||||||||
0 | 0 | |||||||||
14.7716 | 0.510278 | |||||||||
−0.117269 | − | 0.665065i | −0.00404857 | − | 0.0229606i | 0.982717 | − | 0.185117i | ||
−0.986765 | + | 0.162156i | ||||||||
0 | 0 | |||||||||
9.01801 | − | 3.28229i | 0.310966 | − | 0.113182i | |||||
−49.9572 | − | 41.9190i | −1.72164 | − | 1.44463i | |||||
0 | 0 | |||||||||
−12.1505 | − | 4.42242i | −0.418238 | − | 0.152226i | |||||
−14.3649 | − | 24.8808i | −0.494168 | − | 0.855925i | |||||
0 | 0 | |||||||||
5.29901 | − | 9.17815i | 0.182076 | − | 0.315365i | |||||
23.4403 | − | 19.6687i | 0.804942 | − | 0.675427i | |||||
0 | 0 | |||||||||
−0.949430 | + | 5.38448i | −0.0325652 | + | 0.184686i | |||||
−1.67748 | + | 9.51344i | −0.0575032 | + | 0.326117i | |||||
0 | 0 | |||||||||
30.1483 | − | 25.2974i | 1.03226 | − | 0.866166i | 0.0411388 | − | 0.999153i | ||
0.991118 | + | 0.132987i | ||||||||
1.04424 | − | 1.80867i | 0.0357331 | − | 0.0618915i | |||||
0 | 0 | |||||||||
2.62721 | + | 4.55047i | 0.0897963 | + | 0.155532i | |||||
−30.6923 | − | 11.1711i | −1.04843 | − | 0.381598i | −0.240360 | − | 0.970684i | ||
−0.808070 | + | 0.589086i | ||||||||
0 | 0 | |||||||||
−25.4301 | − | 21.3384i | −0.867664 | − | 0.728056i | 0.0959411 | − | 0.995387i | ||
−0.963605 | + | 0.267331i | ||||||||
34.9606 | − | 12.7246i | 1.19215 | − | 0.433906i | |||||
0 | 0 | |||||||||
−10.2535 | − | 58.1507i | −0.349237 | − | 1.98062i | |||||
22.6796 | 0.772024 | 0.386012 | − | 0.922494i | ||||||
0.386012 | + | 0.922494i | ||||||||
0 | 0 | |||||||||
9.61158 | 0.326804 | |||||||||
−7.04609 | − | 39.9604i | −0.239436 | − | 1.35791i | |||||
0 | 0 | |||||||||
19.6539 | − | 7.15344i | 0.667097 | − | 0.242804i | |||||
2.72227 | + | 2.28425i | 0.0923466 | + | 0.0774880i | |||||
0 | 0 | |||||||||
1.21863 | + | 0.443547i | 0.0412919 | + | 0.0150290i | |||||
−3.71444 | − | 6.43360i | −0.125787 | − | 0.217869i | |||||
0 | 0 | |||||||||
14.2385 | − | 24.6618i | 0.481625 | − | 0.834199i | |||||
5.59779 | − | 4.69710i | 0.189240 | − | 0.158791i | |||||
0 | 0 | |||||||||
1.60516 | − | 9.10333i | 0.0542025 | − | 0.307398i | −0.945639 | − | 0.325219i | ||
0.999841 | + | 0.0178215i | ||||||||
8.72888 | − | 49.5040i | 0.294586 | − | 1.67068i | |||||
0 | 0 | |||||||||
−1.82986 | + | 1.53544i | −0.0616846 | + | 0.0517595i | |||||
−3.89378 | + | 6.74422i | −0.131185 | + | 0.227219i | −0.924134 | − | 0.382070i | ||
0.792949 | + | 0.609288i | ||||||||
0 | 0 | |||||||||
16.2309 | + | 28.1127i | 0.546213 | + | 0.946068i | 0.998530 | + | 0.0542106i | ||
−0.452317 | + | 0.891857i | ||||||||
4.14485 | + | 1.50860i | 0.139407 | + | 0.0507398i | |||||
0 | 0 | |||||||||
−37.8737 | − | 31.7798i | −1.27239 | − | 1.06766i | |||||
31.8064 | − | 11.5766i | 1.06795 | − | 0.388704i | 0.252543 | − | 0.967586i | ||
0.815411 | + | 0.578882i | ||||||||
0 | 0 | |||||||||
0.882619 | + | 5.00558i | 0.0296021 | + | 0.167882i | |||||
−88.0234 | −2.95055 | |||||||||
0 | 0 | |||||||||
43.8822 | 1.46929 | |||||||||
−2.67473 | − | 15.1691i | −0.0895063 | − | 0.507616i | |||||
0 | 0 | |||||||||
−50.4149 | + | 18.3495i | −1.68518 | + | 0.613357i | |||||
5.88071 | + | 4.93450i | 0.196461 | + | 0.164850i | |||||
0 | 0 | |||||||||
9.58500 | + | 3.48865i | 0.319855 | + | 0.116418i | |||||
−19.1024 | − | 33.0863i | −0.637101 | − | 1.10349i | |||||
0 | 0 | |||||||||
6.39731 | − | 11.0805i | 0.213125 | − | 0.369144i | |||||
3.00345 | − | 2.52020i | 0.100004 | − | 0.0839133i | |||||
0 | 0 | |||||||||
−1.83085 | + | 10.3833i | −0.0608931 | + | 0.345342i | |||||
−4.53444 | + | 25.7161i | −0.150730 | + | 0.854831i | |||||
0 | 0 | |||||||||
−8.47233 | + | 7.10913i | −0.281319 | + | 0.236055i | −0.772518 | − | 0.634992i | ||
0.491199 | + | 0.871047i | ||||||||
19.5580 | − | 33.8754i | 0.649054 | − | 1.12420i | |||||
0 | 0 | |||||||||
4.18022 | + | 7.24036i | 0.138573 | + | 0.240016i | |||||
−11.7886 | − | 4.29070i | −0.390574 | − | 0.142157i | 0.139266 | − | 0.990255i | ||
−0.529840 | + | 0.848098i | ||||||||
0 | 0 | |||||||||
−1.13732 | − | 0.954324i | −0.0376398 | − | 0.0315835i | |||||
−9.73325 | + | 3.54261i | −0.321947 | + | 0.117179i | |||||
0 | 0 | |||||||||
−0.760923 | − | 4.31541i | −0.0251416 | − | 0.142585i | |||||
−7.03415 | −0.232288 | |||||||||
0 | 0 | |||||||||
−5.92909 | −0.195583 | −0.0977913 | − | 0.995207i | ||||||
−0.0977913 | + | 0.995207i | ||||||||
1.02395 | + | 5.80711i | 0.0337586 | + | 0.191455i | |||||
0 | 0 | |||||||||
55.6723 | − | 20.2631i | 1.83347 | − | 0.667328i | |||||
11.1293 | + | 9.33860i | 0.366326 | + | 0.307384i | |||||
0 | 0 | |||||||||
9.22987 | + | 3.35940i | 0.303476 | + | 0.110456i | |||||
−29.0775 | − | 50.3636i | −0.955545 | − | 1.65505i | |||||
0 | 0 | |||||||||
17.5726 | − | 30.4366i | 0.576848 | − | 0.999131i | |||||
−7.68555 | + | 6.44894i | −0.252155 | + | 0.211583i | −0.760100 | − | 0.649807i | ||
0.507945 | + | 0.861390i | ||||||||
0 | 0 | |||||||||
−6.54033 | + | 37.0921i | −0.214351 | + | 1.21564i | |||||
−5.98553 | + | 33.9456i | −0.196063 | + | 1.11193i | |||||
0 | 0 | |||||||||
34.4496 | − | 28.9067i | 1.12723 | − | 0.945855i | |||||
−0.499405 | + | 0.864995i | −0.0163323 | + | 0.0282883i | |||||
0 | 0 | |||||||||
11.7671 | + | 20.3811i | 0.384413 | + | 0.665823i | 0.991688 | − | 0.128669i | ||
−0.607274 | + | 0.794492i | ||||||||
1.65652 | + | 0.602925i | 0.0540874 | + | 0.0196862i | |||||
0 | 0 | |||||||||
12.6218 | + | 10.5909i | 0.411677 | + | 0.345438i | |||||
27.5326 | − | 10.0210i | 0.897536 | − | 0.326676i | 0.148271 | − | 0.988947i | ||
0.749265 | + | 0.662270i | ||||||||
0 | 0 | |||||||||
2.19520 | + | 12.4496i | 0.0714854 | + | 0.405414i | |||||
4.84388 | 0.157655 | |||||||||
0 | 0 | |||||||||
3.75023 | 0.121930 | |||||||||
9.31829 | + | 52.8467i | 0.302804 | + | 1.71729i | 0.633666 | + | 0.773607i | ||
−0.330862 | + | 0.943679i | ||||||||
0 | 0 | |||||||||
−21.6849 | + | 7.89266i | −0.703922 | + | 0.256207i | |||||
−22.1805 | − | 18.6117i | −0.719631 | − | 0.603842i | |||||
0 | 0 | |||||||||
1.09066 | + | 0.396968i | 0.0353485 | + | 0.0128658i | |||||
2.44828 | + | 4.24055i | 0.0793076 | + | 0.137365i | 0.902951 | − | 0.429743i | ||
−0.823644 | + | 0.567108i | ||||||||
0 | 0 | |||||||||
−23.8212 | + | 41.2596i | −0.770837 | + | 1.33513i | |||||
−37.6793 | + | 31.6167i | −1.21864 | + | 1.02256i | |||||
0 | 0 | |||||||||
15.3190 | − | 86.8781i | 0.494933 | − | 2.80691i | |||||
1.89938 | − | 10.7719i | 0.0613341 | − | 0.347843i | |||||
0 | 0 | |||||||||
33.8782 | − | 28.4272i | 1.09285 | − | 0.917007i | |||||
7.15698 | − | 12.3962i | 0.230750 | − | 0.399671i | |||||
0 | 0 | |||||||||
−24.0255 | − | 41.6134i | −0.773810 | − | 1.34028i | |||||
26.6862 | + | 9.71297i | 0.859058 | + | 0.312671i | |||||
0 | 0 | |||||||||
13.0175 | + | 10.9230i | 0.418615 | + | 0.351259i | 0.827636 | − | 0.561266i | ||
−0.409021 | + | 0.912525i | ||||||||
−10.4079 | + | 3.78816i | −0.334522 | + | 0.121756i | |||||
0 | 0 | |||||||||
−5.47272 | − | 31.0373i | −0.175718 | − | 0.996548i | |||||
−2.68374 | −0.0861253 | −0.0430627 | − | 0.999072i | ||||||
−0.0430627 | + | 0.999072i | ||||||||
0 | 0 | |||||||||
9.12064 | 0.292394 | |||||||||
−1.48049 | − | 8.39626i | −0.0474379 | − | 0.269034i | |||||
0 | 0 | |||||||||
2.67892 | − | 0.975047i | 0.0857501 | − | 0.0312105i | |||||
8.42115 | + | 7.06619i | 0.269417 | + | 0.226067i | 0.767479 | − | 0.641074i | ||
−0.498063 | + | 0.867141i | ||||||||
0 | 0 | |||||||||
−4.61561 | − | 1.67994i | −0.147515 | − | 0.0536912i | |||||
−20.1445 | − | 34.8914i | −0.643494 | − | 1.11456i | |||||
0 | 0 | |||||||||
−40.8734 | + | 70.7948i | −1.30432 | + | 2.25915i | |||||
−36.5983 | + | 30.7096i | −1.16730 | + | 0.979484i | −0.999979 | − | 0.00641835i | ||
−0.167324 | + | 0.985902i | ||||||||
0 | 0 | |||||||||
−6.59684 | + | 37.4125i | −0.210193 | + | 1.19206i | |||||
1.90183 | − | 10.7858i | 0.0605666 | − | 0.343490i | |||||
0 | 0 | |||||||||
−17.8938 | + | 15.0147i | −0.569278 | + | 0.477681i | |||||
−6.04594 | + | 10.4719i | −0.192250 | + | 0.332986i | |||||
0 | 0 | |||||||||
−27.7503 | − | 48.0649i | −0.881517 | − | 1.52683i | −0.849654 | − | 0.527340i | ||
−0.0318627 | − | 0.999492i | ||||||||
65.0272 | + | 23.6680i | 2.06462 | + | 0.751459i | |||||
0 | 0 | |||||||||
15.1284 | + | 12.6942i | 0.479843 | + | 0.402636i | |||||
19.0110 | − | 6.91944i | 0.602689 | − | 0.219361i | |||||
0 | 0 | |||||||||
−7.82228 | − | 44.3624i | −0.247734 | − | 1.40497i | −0.814056 | − | 0.580786i | ||
0.566322 | − | 0.824184i | ||||||||
8.61859 | 0.272817 | |||||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 243.2.e.d.28.1 | 12 | ||
3.2 | odd | 2 | 243.2.e.a.28.2 | 12 | |||
9.2 | odd | 6 | 81.2.e.a.37.2 | 12 | |||
9.4 | even | 3 | 243.2.e.c.190.2 | 12 | |||
9.5 | odd | 6 | 243.2.e.b.190.1 | 12 | |||
9.7 | even | 3 | 27.2.e.a.22.1 | yes | 12 | ||
27.2 | odd | 18 | 243.2.e.a.217.2 | 12 | |||
27.4 | even | 9 | 729.2.c.e.487.5 | 12 | |||
27.5 | odd | 18 | 729.2.a.d.1.5 | 6 | |||
27.7 | even | 9 | 27.2.e.a.16.1 | ✓ | 12 | ||
27.11 | odd | 18 | 243.2.e.b.55.1 | 12 | |||
27.13 | even | 9 | 729.2.c.e.244.5 | 12 | |||
27.14 | odd | 18 | 729.2.c.b.244.2 | 12 | |||
27.16 | even | 9 | 243.2.e.c.55.2 | 12 | |||
27.20 | odd | 18 | 81.2.e.a.46.2 | 12 | |||
27.22 | even | 9 | 729.2.a.a.1.2 | 6 | |||
27.23 | odd | 18 | 729.2.c.b.487.2 | 12 | |||
27.25 | even | 9 | inner | 243.2.e.d.217.1 | 12 | ||
36.7 | odd | 6 | 432.2.u.c.49.2 | 12 | |||
45.7 | odd | 12 | 675.2.u.b.49.1 | 24 | |||
45.34 | even | 6 | 675.2.l.c.76.2 | 12 | |||
45.43 | odd | 12 | 675.2.u.b.49.4 | 24 | |||
108.7 | odd | 18 | 432.2.u.c.97.2 | 12 | |||
135.7 | odd | 36 | 675.2.u.b.124.4 | 24 | |||
135.34 | even | 18 | 675.2.l.c.151.2 | 12 | |||
135.88 | odd | 36 | 675.2.u.b.124.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.2.e.a.16.1 | ✓ | 12 | 27.7 | even | 9 | ||
27.2.e.a.22.1 | yes | 12 | 9.7 | even | 3 | ||
81.2.e.a.37.2 | 12 | 9.2 | odd | 6 | |||
81.2.e.a.46.2 | 12 | 27.20 | odd | 18 | |||
243.2.e.a.28.2 | 12 | 3.2 | odd | 2 | |||
243.2.e.a.217.2 | 12 | 27.2 | odd | 18 | |||
243.2.e.b.55.1 | 12 | 27.11 | odd | 18 | |||
243.2.e.b.190.1 | 12 | 9.5 | odd | 6 | |||
243.2.e.c.55.2 | 12 | 27.16 | even | 9 | |||
243.2.e.c.190.2 | 12 | 9.4 | even | 3 | |||
243.2.e.d.28.1 | 12 | 1.1 | even | 1 | trivial | ||
243.2.e.d.217.1 | 12 | 27.25 | even | 9 | inner | ||
432.2.u.c.49.2 | 12 | 36.7 | odd | 6 | |||
432.2.u.c.97.2 | 12 | 108.7 | odd | 18 | |||
675.2.l.c.76.2 | 12 | 45.34 | even | 6 | |||
675.2.l.c.151.2 | 12 | 135.34 | even | 18 | |||
675.2.u.b.49.1 | 24 | 45.7 | odd | 12 | |||
675.2.u.b.49.4 | 24 | 45.43 | odd | 12 | |||
675.2.u.b.124.1 | 24 | 135.88 | odd | 36 | |||
675.2.u.b.124.4 | 24 | 135.7 | odd | 36 | |||
729.2.a.a.1.2 | 6 | 27.22 | even | 9 | |||
729.2.a.d.1.5 | 6 | 27.5 | odd | 18 | |||
729.2.c.b.244.2 | 12 | 27.14 | odd | 18 | |||
729.2.c.b.487.2 | 12 | 27.23 | odd | 18 | |||
729.2.c.e.244.5 | 12 | 27.13 | even | 9 | |||
729.2.c.e.487.5 | 12 | 27.4 | even | 9 |