Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [352,2,Mod(45,352)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(352, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("352.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 352.n (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 45.7 | ||
Character | 352.45 | ||
Dual form | 352.2.n.a.133.7 |
-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 .
−1.21532 | + | 0.723188i | −0.859360 | + | 0.511371i | |||||
0.443524 | − | 1.07076i | 0.256069 | − | 0.618205i | −0.742603 | − | 0.669732i | ||
0.998672 | + | 0.0515273i | ||||||||
0.953999 | − | 1.75781i | 0.476999 | − | 0.878904i | |||||
2.95283 | − | 1.22310i | 1.32055 | − | 0.546988i | 0.392602 | − | 0.919708i | ||
0.927944 | + | 0.372720i | ||||||||
0.235339 | + | 1.62207i | 0.0960767 | + | 0.662207i | |||||
−0.544294 | + | 0.544294i | −0.205724 | + | 0.205724i | −0.802447 | − | 0.596723i | ||
0.596723 | + | 0.802447i | ||||||||
0.111813 | + | 2.82622i | 0.0395317 | + | 0.999218i | |||||
1.17150 | + | 1.17150i | 0.390501 | + | 0.390501i | |||||
−2.70410 | + | 3.62191i | −0.855110 | + | 1.14535i | |||||
0.382683 | + | 0.923880i | 0.115383 | + | 0.278560i | |||||
−1.45907 | − | 1.80114i | −0.421198 | − | 0.519943i | |||||
2.32285 | + | 0.962156i | 0.644243 | + | 0.266854i | 0.680791 | − | 0.732478i | ||
−0.0365481 | + | 0.999332i | ||||||||
0.267864 | − | 1.05512i | 0.0715897 | − | 0.281992i | |||||
− | 3.70425i | − | 0.956434i | |||||||
−2.17977 | − | 3.35389i | −0.544943 | − | 0.838473i | |||||
− | 3.46265i | − | 0.839816i | −0.907567 | − | 0.419908i | ||||
0.907567 | − | 0.419908i | ||||||||
−2.27096 | − | 0.576532i | −0.535272 | − | 0.135890i | |||||
−1.89621 | − | 0.785436i | −0.435020 | − | 0.180191i | 0.154416 | − | 0.988006i | ||
−0.589437 | + | 0.807815i | ||||||||
0.667018 | − | 6.35734i | 0.149150 | − | 1.42155i | |||||
0.341402 | + | 0.824218i | 0.0745000 | + | 0.179859i | |||||
−1.13322 | − | 0.846056i | −0.241603 | − | 0.180380i | |||||
−0.669534 | − | 0.669534i | −0.139607 | − | 0.139607i | 0.633849 | − | 0.773457i | ||
−0.773457 | + | 0.633849i | ||||||||
3.07580 | + | 1.13377i | 0.627844 | + | 0.231430i | |||||
3.68769 | − | 3.68769i | 0.737539 | − | 0.737539i | |||||
−3.51882 | + | 0.510531i | −0.690098 | + | 0.100123i | |||||
4.98628 | − | 2.06538i | 0.959609 | − | 0.397483i | |||||
0.437509 | + | 1.47602i | 0.0826813 | + | 0.278942i | |||||
−0.762793 | + | 1.84154i | −0.141647 | + | 0.341966i | −0.978743 | − | 0.205090i | ||
0.837096 | + | 0.547056i | ||||||||
2.67887 | + | 4.50185i | 0.489093 | + | 0.821922i | |||||
−4.05527 | −0.728347 | −0.364174 | − | 0.931331i | ||||||
−0.364174 | + | 0.931331i | ||||||||
5.07461 | + | 2.49966i | 0.897073 | + | 0.441882i | |||||
1.15898 | 0.201753 | |||||||||
2.50415 | + | 4.20822i | 0.429458 | + | 0.721704i | |||||
−0.941481 | + | 2.27294i | −0.159139 | + | 0.384196i | |||||
3.17689 | − | 0.941664i | 0.529481 | − | 0.156944i | |||||
5.37371 | − | 2.22586i | 0.883432 | − | 0.365930i | 0.105605 | − | 0.994408i | ||
0.777827 | + | 0.628478i | ||||||||
2.87252 | − | 0.416761i | 0.465984 | − | 0.0676076i | |||||
2.06048 | − | 2.06048i | 0.329941 | − | 0.329941i | |||||
3.78692 | + | 8.20858i | 0.598764 | + | 1.29789i | |||||
−3.07787 | − | 3.07787i | −0.480683 | − | 0.480683i | 0.424667 | − | 0.905350i | ||
−0.905350 | + | 0.424667i | ||||||||
−1.01098 | − | 0.754789i | −0.155997 | − | 0.116466i | |||||
3.30436 | + | 7.97743i | 0.503910 | + | 1.21655i | 0.947338 | + | 0.320236i | ||
−0.443428 | + | 0.896310i | ||||||||
1.98908 | + | 0.208696i | 0.299865 | + | 0.0314621i | |||||
4.89211 | + | 2.02638i | 0.729273 | + | 0.302075i | |||||
1.29790 | + | 0.329498i | 0.191364 | + | 0.0485819i | |||||
− | 6.97739i | − | 1.01776i | −0.860839 | − | 0.508878i | ||||
0.860839 | − | 0.508878i | ||||||||
−4.55800 | + | 0.846487i | −0.657891 | + | 0.122180i | |||||
6.40749i | 0.915355i | |||||||||
−1.81483 | + | 7.14862i | −0.256655 | + | 1.01097i | |||||
−3.70767 | − | 1.53577i | −0.519178 | − | 0.215051i | |||||
3.90728 | − | 3.16523i | 0.541842 | − | 0.438938i | |||||
−4.90560 | − | 11.8432i | −0.673836 | − | 1.62678i | −0.775035 | − | 0.631919i | ||
0.101198 | − | 0.994866i | ||||||||
−4.56625 | + | 6.11611i | −0.621389 | + | 0.832298i | |||||
2.26000 | + | 2.26000i | 0.304738 | + | 0.304738i | |||||
−1.59915 | − | 1.47743i | −0.213696 | − | 0.197430i | |||||
−1.68203 | + | 1.68203i | −0.222790 | + | 0.222790i | |||||
−0.404746 | − | 2.78971i | −0.0531458 | − | 0.366306i | |||||
−10.1996 | + | 4.22479i | −1.32787 | + | 0.550021i | −0.930047 | − | 0.367441i | ||
−0.397822 | + | 0.917462i | ||||||||
−6.51137 | − | 3.53385i | −0.840614 | − | 0.456219i | |||||
−2.45277 | + | 5.92151i | −0.314045 | + | 0.758172i | 0.685502 | + | 0.728071i | ||
−0.999547 | + | 0.0301010i | ||||||||
4.92844 | − | 2.93272i | 0.625912 | − | 0.372456i | |||||
−1.27528 | −0.160671 | |||||||||
−7.97500 | + | 0.632013i | −0.996874 | + | 0.0790017i | |||||
8.03580 | 0.996718 | |||||||||
−1.40854 | + | 0.838164i | −0.173379 | + | 0.103171i | |||||
−3.06636 | + | 7.40285i | −0.374615 | + | 0.904402i | 0.618340 | + | 0.785911i | ||
−0.992955 | + | 0.118491i | ||||||||
−6.08667 | − | 3.30336i | −0.738117 | − | 0.400592i | |||||
−1.01387 | + | 0.419957i | −0.122055 | + | 0.0505569i | |||||
−0.499561 | − | 3.44321i | −0.0597089 | − | 0.411542i | |||||
5.63181 | − | 5.63181i | 0.668373 | − | 0.668373i | −0.288966 | − | 0.957339i | ||
0.957339 | + | 0.288966i | ||||||||
−3.17993 | + | 3.44191i | −0.374758 | + | 0.405633i | |||||
1.23542 | + | 1.23542i | 0.144595 | + | 0.144595i | 0.775699 | − | 0.631103i | ||
−0.631103 | + | 0.775699i | ||||||||
−4.92105 | + | 6.59133i | −0.572061 | + | 0.766227i | |||||
−2.31306 | − | 5.58422i | −0.267089 | − | 0.644811i | |||||
−3.18963 | + | 2.58387i | −0.365875 | + | 0.296390i | |||||
−0.711155 | − | 0.294570i | −0.0810436 | − | 0.0335694i | |||||
−1.01403 | + | 3.99426i | −0.114816 | + | 0.452260i | |||||
− | 5.32846i | − | 0.599499i | −0.954018 | − | 0.299749i | ||||
0.954018 | − | 0.299749i | ||||||||
−10.5387 | − | 7.23739i | −1.17826 | − | 0.809164i | |||||
− | 1.28490i | − | 0.142767i | |||||||
5.96647 | + | 1.51471i | 0.658887 | + | 0.167272i | |||||
−4.83109 | − | 2.00110i | −0.530281 | − | 0.219650i | 0.101445 | − | 0.994841i | ||
−0.631726 | + | 0.775192i | ||||||||
1.77451 | + | 0.186183i | 0.193615 | + | 0.0203143i | |||||
−4.23518 | − | 10.2246i | −0.459369 | − | 1.10902i | |||||
−9.78503 | − | 7.30545i | −1.05515 | − | 0.787767i | |||||
1.63354 | + | 1.63354i | 0.175134 | + | 0.175134i | |||||
−2.56829 | + | 1.18485i | −0.273781 | + | 0.126305i | |||||
−4.28348 | + | 4.28348i | −0.454048 | + | 0.454048i | −0.896696 | − | 0.442648i | ||
0.442648 | + | 0.896696i | ||||||||
−7.41093 | + | 1.07522i | −0.781181 | + | 0.113338i | |||||
−1.78801 | + | 0.740618i | −0.187434 | + | 0.0776379i | |||||
−1.81565 | + | 0.538177i | −0.189294 | + | 0.0561089i | |||||
−1.79861 | + | 4.34223i | −0.186507 | + | 0.450268i | |||||
5.04596 | + | 8.47975i | 0.520451 | + | 0.874619i | |||||
−6.55985 | −0.673027 | |||||||||
4.92726 | − | 4.32504i | 0.502886 | − | 0.441423i | |||||
13.1781 | 1.33804 | 0.669018 | − | 0.743246i | ||||||
0.669018 | + | 0.743246i | ||||||||
−4.63382 | − | 7.78714i | −0.468086 | − | 0.786620i | |||||
−0.634012 | + | 1.53064i | −0.0637207 | + | 0.153835i | |||||
−2.96420 | − | 10.0003i | −0.296420 | − | 1.00003i | |||||
−9.78129 | + | 4.05154i | −0.973275 | + | 0.403144i | −0.811930 | − | 0.583755i | ||
−0.161344 | + | 0.986898i | ||||||||
5.61666 | − | 0.814897i | 0.556132 | − | 0.0806868i | |||||
−6.75733 | + | 6.75733i | −0.665819 | + | 0.665819i | −0.956745 | − | 0.290926i | ||
0.290926 | + | 0.956745i | ||||||||
−2.45954 | + | 6.67246i | −0.241178 | + | 0.654288i | |||||
2.01620 | + | 2.01620i | 0.196761 | + | 0.196761i | |||||
14.5267 | + | 10.8456i | 1.41096 | + | 1.05341i | |||||
−6.37055 | − | 15.3799i | −0.615864 | − | 1.48683i | −0.856466 | − | 0.516204i | ||
0.240601 | − | 0.970624i | ||||||||
1.12636 | − | 10.7353i | 0.108384 | − | 1.03300i | |||||
−1.19440 | − | 0.494736i | −0.114403 | − | 0.0473871i | 0.324748 | − | 0.945801i | ||
−0.439151 | + | 0.898413i | ||||||||
−4.38102 | − | 1.11221i | −0.417714 | − | 0.106046i | |||||
− | 6.74119i | − | 0.639845i | |||||||
3.01194 | + | 0.639066i | 0.284602 | + | 0.0603861i | |||||
19.3552i | 1.82079i | 0.413744 | + | 0.910393i | ||||||
−0.413744 | + | 0.910393i | ||||||||
0.827779 | − | 3.26063i | 0.0775286 | − | 0.305386i | |||||
−2.79593 | − | 1.15811i | −0.260722 | − | 0.107994i | |||||
2.50938 | + | 3.09767i | 0.232990 | + | 0.287612i | |||||
1.59406 | + | 3.84839i | 0.147371 | + | 0.355784i | |||||
9.34039 | − | 12.5107i | 0.859853 | − | 1.15170i | |||||
1.88470 | + | 1.88470i | 0.172770 | + | 0.172770i | |||||
10.4690 | − | 0.414182i | 0.955687 | − | 0.0378095i | |||||
−0.707107 | + | 0.707107i | −0.0642824 | + | 0.0642824i | |||||
−1.30147 | − | 8.97034i | −0.117829 | − | 0.812136i | |||||
−4.66078 | + | 1.93056i | −0.420248 | + | 0.174072i | |||||
−3.86872 | + | 7.12838i | −0.347421 | + | 0.640147i | |||||
0.263194 | − | 0.635405i | 0.0235407 | − | 0.0568324i | |||||
1.54988 | − | 0.922270i | 0.138074 | − | 0.0821623i | |||||
−1.19298 | −0.105860 | −0.0529298 | − | 0.998598i | ||||||
−0.0529298 | + | 0.998598i | ||||||||
9.23510 | − | 6.53552i | 0.816275 | − | 0.577664i | |||||
10.0075 | 0.881111 | |||||||||
−9.76606 | + | 5.81139i | −0.856540 | + | 0.509693i | |||||
−7.77233 | + | 18.7641i | −0.679071 | + | 1.63942i | 0.0866409 | + | 0.996240i | ||
−0.765712 | + | 0.643183i | ||||||||
1.10567 | − | 2.03727i | 0.0962362 | − | 0.177322i | |||||
1.45960 | − | 0.604588i | 0.126564 | − | 0.0524244i | |||||
−1.62705 | − | 11.2144i | −0.140555 | − | 0.968774i | |||||
12.1975 | − | 12.1975i | 1.04979 | − | 1.04979i | |||||
9.78620 | − | 0.387168i | 0.839160 | − | 0.0331994i | |||||
11.2859 | + | 11.2859i | 0.964218 | + | 0.964218i | 0.999382 | − | 0.0351637i | ||
−0.0351637 | + | 0.999382i | ||||||||
0.928463 | − | 1.24360i | 0.0790360 | − | 0.105862i | |||||
5.49063 | + | 13.2556i | 0.465709 | + | 1.12432i | 0.966018 | + | 0.258475i | ||
−0.500309 | + | 0.865847i | ||||||||
3.09721 | + | 3.82332i | 0.261762 | + | 0.323130i | |||||
−7.47112 | − | 3.09464i | −0.629182 | − | 0.260616i | |||||
−2.77159 | + | 10.9173i | −0.232586 | + | 0.916159i | |||||
2.51424i | 0.210251i | |||||||||
1.37548 | − | 6.48270i | 0.114624 | − | 0.540225i | |||||
6.37074i | 0.529061i | |||||||||
−2.39488 | − | 0.607990i | −0.198201 | − | 0.0503176i | |||||
6.86090 | + | 2.84188i | 0.565877 | + | 0.234394i | |||||
1.21387 | − | 11.5694i | 0.0997797 | − | 0.951000i | |||||
−3.77221 | − | 9.10692i | −0.309031 | − | 0.746068i | −0.999737 | − | 0.0229316i | ||
0.690706 | − | 0.723136i | ||||||||
6.84955 | + | 5.11383i | 0.559263 | + | 0.417543i | |||||
−5.85800 | − | 5.85800i | −0.476717 | − | 0.476717i | 0.427363 | − | 0.904080i | ||
−0.904080 | + | 0.427363i | ||||||||
2.00779 | − | 5.44692i | 0.162853 | − | 0.441804i | |||||
4.05650 | − | 4.05650i | 0.327949 | − | 0.327949i | |||||
1.07731 | − | 0.156302i | 0.0868120 | − | 0.0125952i | |||||
−11.9745 | + | 4.96000i | −0.961816 | + | 0.398397i | |||||
−1.65623 | − | 5.58763i | −0.132605 | − | 0.447368i | |||||
−6.12539 | + | 14.7880i | −0.488860 | + | 1.18021i | 0.466435 | + | 0.884556i | ||
−0.955294 | + | 0.295656i | ||||||||
3.85348 | + | 6.47578i | 0.306566 | + | 0.515185i | |||||
−14.8570 | −1.17823 | |||||||||
18.0418 | + | 1.17431i | 1.42633 | + | 0.0928370i | |||||
0.728847 | 0.0574412 | |||||||||
0.929225 | + | 1.56156i | 0.0730068 | + | 0.122688i | |||||
−2.27774 | + | 5.49896i | −0.178407 | + | 0.430711i | −0.987633 | − | 0.156786i | ||
0.809226 | + | 0.587497i | ||||||||
−8.34659 | + | 2.47402i | −0.651759 | + | 0.193188i | |||||
3.42228 | − | 1.41756i | 0.266425 | − | 0.110357i | |||||
7.31849 | − | 1.06181i | 0.568025 | − | 0.0824123i | |||||
14.6563 | − | 14.6563i | 1.13414 | − | 1.13414i | 0.144658 | − | 0.989482i | ||
0.989482 | − | 0.144658i | ||||||||
−2.29124 | + | 1.05703i | −0.176773 | + | 0.0815519i | |||||
−4.72250 | − | 4.72250i | −0.363269 | − | 0.363269i | |||||
12.5414 | + | 9.36334i | 0.961882 | + | 0.718135i | |||||
−1.30127 | − | 3.14155i | −0.0995109 | − | 0.240241i | |||||
17.1751 | + | 1.80203i | 1.30959 | + | 0.137403i | |||||
−16.8952 | − | 6.99823i | −1.28452 | − | 0.532066i | −0.367172 | − | 0.930153i | ||
−0.917348 | + | 0.398087i | ||||||||
−3.16663 | − | 0.803915i | −0.240061 | − | 0.0609446i | |||||
4.01438i | 0.303459i | |||||||||
2.26443 | − | 3.29733i | 0.170688 | − | 0.248545i | |||||
12.7951i | 0.961739i | |||||||||
2.10803 | − | 8.30355i | 0.158004 | − | 0.622377i | |||||
10.7599 | + | 4.45688i | 0.804230 | + | 0.333123i | 0.746649 | − | 0.665218i | ||
0.0575808 | + | 0.998341i | ||||||||
8.22906 | − | 6.66623i | 0.613358 | − | 0.496872i | |||||
2.71805 | + | 6.56194i | 0.202031 | + | 0.487745i | 0.992127 | − | 0.125238i | ||
−0.790096 | + | 0.612983i | ||||||||
1.63740 | − | 2.19315i | 0.121372 | − | 0.162567i | |||||
5.25267 | + | 5.25267i | 0.388288 | + | 0.388288i | |||||
1.81739 | − | 1.96711i | 0.133979 | − | 0.145017i | |||||
13.1452 | − | 13.1452i | 0.966454 | − | 0.966454i | |||||
−0.954362 | − | 6.57792i | −0.0699772 | − | 0.482316i | |||||
3.19907 | − | 1.32510i | 0.233939 | − | 0.0969008i | |||||
−12.2649 | − | 6.65642i | −0.894510 | − | 0.485469i | |||||
−1.58983 | + | 3.83818i | −0.115643 | + | 0.279186i | |||||
7.97231 | − | 4.74401i | 0.578372 | − | 0.344166i | |||||
0.926541 | 0.0670422 | 0.0335211 | − | 0.999438i | ||||||
0.0335211 | + | 0.999438i | ||||||||
−2.86037 | + | 8.81964i | −0.206429 | + | 0.636503i | |||||
−4.31258 | −0.310426 | −0.155213 | − | 0.987881i | ||||||
−0.155213 | + | 0.987881i | ||||||||
−16.0156 | + | 9.53026i | −1.14985 | + | 0.684233i | |||||
3.56407 | − | 8.60443i | 0.255228 | − | 0.616176i | |||||
11.2631 | + | 6.11273i | 0.804509 | + | 0.436624i | |||||
24.1259 | − | 9.99329i | 1.71890 | − | 0.711992i | 0.719047 | − | 0.694962i | ||
0.999855 | − | 0.0170305i | ||||||||
−0.336414 | − | 2.31873i | −0.0239079 | − | 0.164785i | |||||
5.51477 | − | 5.51477i | 0.390932 | − | 0.390932i | −0.484088 | − | 0.875019i | ||
0.875019 | + | 0.484088i | ||||||||
10.8345 | + | 10.0099i | 0.766118 | + | 0.707806i | |||||
6.56668 | + | 6.56668i | 0.463178 | + | 0.463178i | |||||
8.95736 | − | 11.9976i | 0.630237 | − | 0.844150i | |||||
−0.587158 | − | 1.41753i | −0.0412104 | − | 0.0994908i | |||||
−6.23670 | + | 5.05226i | −0.436657 | + | 0.353729i | |||||
−12.8530 | − | 5.32388i | −0.897691 | − | 0.371836i | |||||
3.32549 | − | 13.0991i | 0.231698 | − | 0.912659i | |||||
− | 1.56872i | − | 0.109034i | |||||||
−1.83632 | − | 9.88787i | −0.127326 | − | 0.685601i | |||||
− | 2.05244i | − | 0.141970i | |||||||
−3.90843 | − | 0.992236i | −0.269707 | − | 0.0684708i | |||||
6.47376 | + | 2.68152i | 0.445672 | + | 0.184603i | 0.594221 | − | 0.804302i | ||
−0.148549 | + | 0.988905i | ||||||||
−25.4980 | − | 2.67527i | −1.75121 | − | 0.183738i | |||||
−3.53248 | − | 8.52817i | −0.242042 | − | 0.584341i | |||||
18.8648 | + | 14.0843i | 1.28957 | + | 0.962786i | |||||
19.5144 | + | 19.5144i | 1.33087 | + | 1.33087i | |||||
6.39475 | + | 13.8614i | 0.435108 | + | 0.943146i | |||||
2.20726 | − | 2.20726i | 0.149838 | − | 0.149838i | |||||
1.80936 | − | 0.262513i | 0.122545 | − | 0.0177796i | |||||
1.87078 | − | 0.774904i | 0.126416 | − | 0.0523632i | |||||
6.12868 | − | 1.81661i | 0.413195 | − | 0.122476i | |||||
3.33161 | − | 8.04322i | 0.224108 | − | 0.541045i | |||||
4.87515 | + | 8.19269i | 0.327198 | + | 0.549858i | |||||
3.43663 | 0.230133 | 0.115067 | − | 0.993358i | ||||||
0.115067 | + | 0.993358i | ||||||||
−4.12263 | + | 1.40153i | −0.275455 | + | 0.0936438i | |||||
8.64028 | 0.576019 | |||||||||
−13.9975 | − | 23.5228i | −0.931098 | − | 1.56471i | |||||
−6.05107 | + | 14.6086i | −0.401623 | + | 0.969605i | 0.585649 | + | 0.810565i | ||
−0.987272 | + | 0.159040i | ||||||||
1.35203 | + | 4.56134i | 0.0895404 | + | 0.302082i | |||||
−22.0262 | + | 9.12353i | −1.45553 | + | 0.602900i | −0.963507 | − | 0.267683i | ||
−0.492022 | + | 0.870583i | ||||||||
4.23548 | − | 0.614507i | 0.279279 | − | 0.0405194i | |||||
−0.630829 | + | 0.630829i | −0.0415055 | + | 0.0415055i | |||||
−5.28989 | − | 1.94991i | −0.347298 | − | 0.128018i | |||||
−19.5904 | − | 19.5904i | −1.28341 | − | 1.28341i | −0.938715 | − | 0.344693i | ||
−0.344693 | − | 0.938715i | ||||||||
−4.72040 | − | 3.52422i | −0.308582 | − | 0.230386i | |||||
−8.53406 | − | 20.6030i | −0.556701 | − | 1.34399i | |||||
−2.30399 | + | 21.9593i | −0.149977 | + | 1.42943i | |||||
−5.70552 | − | 2.36330i | −0.370613 | − | 0.153513i | |||||
−3.65350 | − | 0.927519i | −0.236822 | − | 0.0601221i | |||||
24.5821i | 1.59008i | 0.606556 | + | 0.795041i | ||||||
−0.606556 | + | 0.795041i | ||||||||
−12.4237 | + | 8.07443i | −0.801944 | + | 0.521203i | |||||
− | 10.7978i | − | 0.695547i | −0.937579 | − | 0.347774i | ||||
0.937579 | − | 0.347774i | ||||||||
0.347989 | − | 1.37073i | 0.0223696 | − | 0.0881139i | |||||
13.5830 | + | 5.62627i | 0.871350 | + | 0.360925i | |||||
8.06894 | + | 9.96061i | 0.516561 | + | 0.637663i | |||||
7.83701 | + | 18.9202i | 0.500688 | + | 1.20877i | |||||
4.26817 | − | 5.71686i | 0.272129 | − | 0.364494i | |||||
−3.64890 | − | 3.64890i | −0.232174 | − | 0.232174i | |||||
−0.453430 | − | 11.4611i | −0.0287928 | − | 0.727778i | |||||
−4.28541 | + | 4.28541i | −0.271577 | + | 0.271577i | |||||
0.139653 | + | 0.962558i | 0.00883246 | + | 0.0608775i | |||||
15.4615 | − | 6.40436i | 0.975920 | − | 0.404239i | 0.163008 | − | 0.986625i | ||
0.812913 | + | 0.582385i | ||||||||
−1.21662 | + | 2.24170i | −0.0766398 | + | 0.141214i | |||||
0.362349 | − | 0.874788i | 0.0227807 | − | 0.0549975i | |||||
1.44985 | − | 0.862747i | 0.0909715 | − | 0.0541335i | |||||
−12.8265 | −0.803229 | |||||||||
−6.49718 | + | 14.6214i | −0.406074 | + | 0.913840i | |||||
−20.7719 | −1.29572 | −0.647858 | − | 0.761761i | ||||||
−0.647858 | + | 0.761761i | ||||||||
−12.1623 | + | 7.23730i | −0.757191 | + | 0.450575i | |||||
−1.71335 | + | 4.13640i | −0.106463 | + | 0.257024i | |||||
7.66614 | − | 14.1254i | 0.475434 | − | 0.876019i | |||||
−3.05099 | + | 1.26376i | −0.188851 | + | 0.0782248i | |||||
−4.12408 | − | 28.4252i | −0.254787 | − | 1.75611i | |||||
14.3138 | − | 14.3138i | 0.882624 | − | 0.882624i | −0.111176 | − | 0.993801i | ||
0.993801 | + | 0.111176i | ||||||||
0.129589 | + | 3.27554i | 0.00797566 | + | 0.201596i | |||||
−28.9708 | − | 28.9708i | −1.77966 | − | 1.77966i | |||||
−1.33665 | + | 1.79034i | −0.0819555 | + | 0.109773i | |||||
2.68676 | + | 6.48641i | 0.164427 | + | 0.396962i | |||||
10.0875 | + | 12.4524i | 0.616191 | + | 0.760650i | |||||
−18.8459 | − | 7.80622i | −1.14905 | − | 0.475953i | −0.274837 | − | 0.961491i | ||
−0.874216 | + | 0.485537i | ||||||||
−6.00274 | + | 23.6448i | −0.365315 | + | 1.43898i | |||||
1.27900i | 0.0776939i | 0.999245 | + | 0.0388469i | ||||||
−0.999245 | + | 0.0388469i | ||||||||
−11.6134 | + | 7.54779i | −0.704163 | + | 0.457652i | |||||
2.24302i | 0.135754i | |||||||||
−21.8778 | − | 5.55413i | −1.32168 | − | 0.335537i | |||||
4.81820 | + | 1.99576i | 0.290549 | + | 0.120349i | |||||
−0.229023 | + | 2.18282i | −0.0137856 | + | 0.131390i | |||||
−8.25944 | − | 19.9400i | −0.496261 | − | 1.19808i | −0.951483 | − | 0.307703i | ||
0.455221 | − | 0.890378i | ||||||||
−16.2591 | − | 12.1390i | −0.975157 | − | 0.728047i | |||||
−4.75075 | − | 4.75075i | −0.284420 | − | 0.284420i | |||||
−6.52908 | − | 2.40669i | −0.390187 | − | 0.143827i | |||||
3.33569 | − | 3.33569i | 0.198990 | − | 0.198990i | −0.600577 | − | 0.799567i | ||
0.799567 | + | 0.600577i | ||||||||
11.3178 | − | 1.64205i | 0.673965 | − | 0.0977827i | |||||
0.585643 | − | 0.242581i | 0.0348128 | − | 0.0144199i | −0.365209 | − | 0.930926i | ||
0.400022 | + | 0.916506i | ||||||||
−4.52690 | − | 15.2724i | −0.268622 | − | 0.906249i | |||||
−2.90945 | + | 7.02404i | −0.172341 | + | 0.416068i | |||||
−1.81826 | − | 3.05560i | −0.107516 | − | 0.180681i | |||||
3.35053 | 0.197776 | |||||||||
3.01656 | + | 8.87328i | 0.177753 | + | 0.522863i | |||||
5.01005 | 0.294709 | |||||||||
−4.60724 | − | 7.74248i | −0.270547 | − | 0.454654i | |||||
5.84482 | − | 14.1106i | 0.342629 | − | 0.827180i | |||||
3.35023 | − | 0.993044i | 0.196057 | − | 0.0581135i | |||||
8.66842 | − | 3.59058i | 0.506415 | − | 0.209764i | −0.114823 | − | 0.993386i | ||
0.621238 | + | 0.783622i | ||||||||
−10.3934 | + | 1.50793i | −0.606154 | + | 0.0879444i | |||||
−24.9502 | + | 24.9502i | −1.45266 | + | 1.45266i | |||||
6.89162 | + | 14.9384i | 0.400567 | + | 0.868276i | |||||
3.81633 | + | 3.81633i | 0.221446 | + | 0.221446i | |||||
11.1704 | + | 8.33979i | 0.647087 | + | 0.483111i | |||||
−0.911031 | − | 2.19942i | −0.0526863 | − | 0.127196i | |||||
−12.0226 | − | 1.26143i | −0.694128 | − | 0.0728285i | |||||
−6.14061 | − | 2.54353i | −0.353939 | − | 0.146606i | |||||
11.3558 | + | 2.88290i | 0.653451 | + | 0.165892i | |||||
12.2704i | 0.704916i | |||||||||
1.49904 | + | 8.07175i | 0.0859759 | + | 0.462947i | |||||
20.4852i | 1.17298i | |||||||||
−1.99633 | + | 7.86356i | −0.114123 | + | 0.449530i | |||||
5.10875 | + | 2.11611i | 0.291572 | + | 0.120773i | 0.523675 | − | 0.851918i | ||
−0.232103 | + | 0.972691i | ||||||||
−1.19624 | + | 0.969054i | −0.0681620 | + | 0.0552170i | |||||
4.23845 | + | 10.2325i | 0.241117 | + | 0.582108i | |||||
10.9658 | − | 14.6878i | 0.622817 | − | 0.834211i | |||||
7.05432 | + | 7.05432i | 0.400014 | + | 0.400014i | 0.878238 | − | 0.478224i | ||
−0.478224 | + | 0.878238i | ||||||||
6.05375 | + | 5.59298i | 0.342726 | + | 0.316640i | |||||
−10.7947 | + | 10.7947i | −0.610154 | + | 0.610154i | −0.942986 | − | 0.332832i | ||
0.332832 | + | 0.942986i | ||||||||
−3.25020 | − | 22.4020i | −0.183420 | − | 1.26422i | |||||
−3.76570 | + | 1.55980i | −0.212173 | + | 0.0878849i | |||||
−9.36641 | − | 5.08335i | −0.526902 | − | 0.285961i | |||||
9.61563 | − | 23.2142i | 0.540068 | − | 1.30384i | −0.384607 | − | 0.923081i | ||
0.924675 | − | 0.380758i | ||||||||
18.0560 | − | 10.7444i | 1.01253 | − | 0.602515i | |||||
−1.99327 | −0.111602 | |||||||||
−22.7758 | + | 11.6205i | −1.27321 | + | 0.649604i | |||||
−19.2937 | −1.07687 | |||||||||
−0.885781 | + | 0.527093i | −0.0493627 | + | 0.0293738i | |||||
−2.71969 | + | 6.56591i | −0.151328 | + | 0.365337i | |||||
−2.25861 | − | 1.22579i | −0.125478 | − | 0.0680997i | |||||
12.1141 | − | 5.01782i | 0.671969 | − | 0.278339i | |||||
−1.20860 | − | 8.33022i | −0.0669379 | − | 0.461368i | |||||
−1.05949 | + | 1.05949i | −0.0585899 | + | 0.0585899i | |||||
8.35458 | − | 9.04287i | 0.461305 | − | 0.499309i | |||||
3.79775 | + | 3.79775i | 0.209377 | + | 0.209377i | |||||
−3.13401 | + | 4.19774i | −0.172521 | + | 0.231078i | |||||
−9.54415 | − | 23.0416i | −0.524594 | − | 1.26648i | −0.935022 | − | 0.354589i | ||
0.410428 | − | 0.911893i | ||||||||
−8.12641 | + | 6.58308i | −0.445995 | + | 0.361293i | |||||
8.90292 | + | 3.68771i | 0.487877 | + | 0.202085i | |||||
−7.21282 | + | 28.4114i | −0.394668 | + | 1.55460i | |||||
25.6098i | 1.39921i | |||||||||
2.02016 | − | 2.94163i | 0.110209 | − | 0.160479i | |||||
− | 25.2384i | − | 1.37482i | −0.726269 | − | 0.687410i | ||||
0.726269 | − | 0.687410i | ||||||||
9.15459 | + | 2.32409i | 0.497944 | + | 0.126414i | |||||
20.7249 | + | 8.58451i | 1.12562 | + | 0.466247i | |||||
−22.0133 | − | 2.30965i | −1.19384 | − | 0.125258i | |||||
−1.55188 | − | 3.74658i | −0.0840392 | − | 0.202889i | |||||
3.85340 | + | 2.87692i | 0.208368 | + | 0.155566i | |||||
−7.29762 | − | 7.29762i | −0.394034 | − | 0.394034i | |||||
−22.1765 | + | 10.2308i | −1.19568 | + | 0.551608i | |||||
−2.48012 | + | 2.48012i | −0.133525 | + | 0.133525i | |||||
25.5941 | − | 3.71334i | 1.37595 | − | 0.199630i | |||||
14.3160 | − | 5.92989i | 0.768524 | − | 0.318333i | 0.0362498 | − | 0.999343i | ||
0.732275 | + | 0.681010i | ||||||||
4.42984 | − | 1.31305i | 0.237464 | − | 0.0703870i | |||||
−11.3291 | + | 27.3509i | −0.606433 | + | 1.46406i | 0.260419 | + | 0.965496i | ||
−0.866853 | + | 0.498564i | ||||||||
−2.90315 | − | 4.87875i | −0.155180 | − | 0.260780i | |||||
13.5696 | 0.724292 | |||||||||
−0.367416 | + | 5.64491i | −0.0195833 | + | 0.300875i | |||||
6.76267 | 0.359941 | 0.179970 | − | 0.983672i | ||||||
0.179970 | + | 0.983672i | ||||||||
−9.25326 | − | 15.5501i | −0.491805 | − | 0.826480i | |||||
9.74150 | − | 23.5181i | 0.517025 | − | 1.24821i | |||||
3.44310 | + | 11.6160i | 0.182484 | + | 0.615645i | |||||
2.85398 | − | 1.18216i | 0.151048 | − | 0.0625663i | |||||
−16.2998 | + | 2.36487i | −0.861473 | + | 0.124987i | |||||
17.8241 | − | 17.8241i | 0.940720 | − | 0.940720i | −0.0576185 | − | 0.998339i | ||
0.998339 | + | 0.0576185i | ||||||||
−5.17999 | + | 14.0527i | −0.273009 | + | 0.740645i | |||||
−10.4563 | − | 10.4563i | −0.550333 | − | 0.550333i | |||||
−8.04881 | − | 6.00919i | −0.423036 | − | 0.315836i | |||||
0.443524 | + | 1.07076i | 0.0232790 | + | 0.0562004i | |||||
−0.403896 | + | 3.84953i | −0.0211699 | + | 0.201770i | |||||
5.15904 | + | 2.13695i | 0.270037 | + | 0.111853i | |||||
−10.1823 | − | 2.58500i | −0.532239 | − | 0.135120i | |||||
− | 20.7924i | − | 1.08536i | −0.839941 | − | 0.542678i | ||||
0.839941 | − | 0.542678i | ||||||||
−0.786112 | + | 3.70498i | −0.0409789 | + | 0.193135i | |||||
− | 7.21146i | − | 0.375414i | |||||||
−6.46915 | + | 25.4820i | −0.336315 | + | 1.32475i | |||||
9.11626 | + | 3.77608i | 0.473293 | + | 0.196044i | |||||
5.91693 | + | 7.30408i | 0.306778 | + | 0.378699i | |||||
10.1172 | + | 24.4251i | 0.523850 | + | 1.26468i | 0.935495 | + | 0.353341i | ||
−0.411645 | + | 0.911344i | ||||||||
−2.92960 | + | 3.92395i | −0.151486 | + | 0.202902i | |||||
−0.563635 | − | 0.563635i | −0.0291060 | − | 0.0291060i | |||||
19.7196 | − | 0.780160i | 1.01696 | − | 0.0402337i | |||||
−3.54371 | + | 3.54371i | −0.182510 | + | 0.182510i | |||||
−0.843580 | − | 5.81435i | −0.0433891 | − | 0.299058i | |||||
11.0476 | − | 4.57605i | 0.567475 | − | 0.235056i | −0.0804519 | − | 0.996758i | ||
0.647927 | + | 0.761703i | ||||||||
−6.25809 | + | 11.5310i | −0.321033 | + | 0.591526i | |||||
−0.529114 | + | 1.27740i | −0.0271074 | + | 0.0654429i | |||||
−1.12604 | + | 0.670063i | −0.0576134 | + | 0.0342834i | |||||
18.3152 | 0.935864 | 0.467932 | − | 0.883764i | ||||||
0.467932 | + | 0.883764i | ||||||||
−2.90200 | − | 12.7873i | −0.148092 | − | 0.652547i | |||||
−2.46021 | −0.125384 | |||||||||
5.24116 | − | 3.11881i | 0.266768 | − | 0.158743i | |||||
−5.47451 | + | 13.2166i | −0.278285 | + | 0.671840i | |||||
12.5719 | − | 23.1646i | 0.638242 | − | 1.17600i | |||||
−13.5344 | + | 5.60611i | −0.686219 | + | 0.284241i | −0.698424 | − | 0.715684i | ||
0.0122048 | + | 0.999926i | ||||||||
1.89114 | + | 13.0346i | 0.0957614 | + | 0.660034i | |||||
−2.31836 | + | 2.31836i | −0.117245 | + | 0.117245i | |||||
−18.1089 | + | 0.716438i | −0.914640 | + | 0.0361856i | |||||
16.6446 | + | 16.6446i | 0.839610 | + | 0.839610i | |||||
−22.0937 | + | 29.5926i | −1.11306 | + | 1.49085i | |||||
−6.51726 | − | 15.7340i | −0.327919 | − | 0.791666i | |||||
2.08573 | + | 2.57470i | 0.104812 | + | 0.129384i | |||||
31.9998 | + | 13.2548i | 1.60602 | + | 0.665237i | 0.992251 | − | 0.124246i | ||
0.613773 | + | 0.789483i | ||||||||
−2.71399 | + | 10.6904i | −0.136040 | + | 0.535862i | |||||
− | 1.83104i | − | 0.0916666i | |||||||
−20.4065 | − | 4.32979i | −1.02032 | − | 0.216489i | |||||
− | 13.0539i | − | 0.651879i | −0.945391 | − | 0.325939i | ||||
0.945391 | − | 0.325939i | ||||||||
−12.7296 | − | 3.23167i | −0.634893 | − | 0.161181i | |||||
−9.41978 | − | 3.90180i | −0.469232 | − | 0.194362i | |||||
−2.20951 | + | 21.0588i | −0.109927 | + | 1.04771i | |||||
−1.57157 | − | 3.79410i | −0.0780917 | − | 0.188530i | |||||
1.73872 | + | 1.29812i | 0.0862913 | + | 0.0644246i | |||||
4.11286 | + | 4.11286i | 0.203867 | + | 0.203867i | |||||
3.92585 | − | 10.6504i | 0.194359 | − | 0.527274i | |||||
13.9131 | − | 13.9131i | 0.687958 | − | 0.687958i | −0.273822 | − | 0.961780i | ||
0.961780 | + | 0.273822i | ||||||||
19.4706 | − | 2.82491i | 0.961586 | − | 0.139512i | |||||
17.0901 | − | 7.07893i | 0.842990 | − | 0.349178i | |||||
5.43160 | + | 18.3246i | 0.267596 | + | 0.902786i | |||||
3.25203 | − | 7.85109i | 0.160022 | − | 0.386327i | |||||
1.13448 | + | 1.90650i | 0.0557567 | + | 0.0936992i | |||||
−16.7129 | −0.820406 | |||||||||
9.38250 | + | 10.6889i | 0.460015 | + | 0.524067i | |||||
16.6288 | 0.814315 | |||||||||
1.48430 | + | 2.49437i | 0.0725996 | + | 0.122004i | |||||
−12.0802 | + | 29.1643i | −0.590158 | + | 1.42477i | 0.293191 | + | 0.956054i | ||
−0.883350 | + | 0.468715i | ||||||||
5.46756 | − | 1.62064i | 0.266789 | − | 0.0790793i | |||||
18.8663 | − | 7.81469i | 0.919489 | − | 0.380865i | 0.127808 | − | 0.991799i | ||
0.791681 | + | 0.610934i | ||||||||
−9.80693 | + | 1.42285i | −0.477394 | + | 0.0692630i | |||||
8.17402 | − | 8.17402i | 0.397435 | − | 0.397435i | |||||
32.9229 | − | 15.1885i | 1.59888 | − | 0.737619i | |||||
−12.7692 | − | 12.7692i | −0.619397 | − | 0.619397i | |||||
10.4606 | + | 7.80980i | 0.506816 | + | 0.378386i | |||||
−1.88802 | − | 4.55808i | −0.0913675 | − | 0.220581i | |||||
−33.1123 | − | 3.47417i | −1.60055 | − | 0.167931i | |||||
2.69215 | + | 1.11512i | 0.129978 | + | 0.0538387i | |||||
−37.8288 | − | 9.60365i | −1.82427 | − | 0.463129i | |||||
− | 36.5150i | − | 1.75887i | −0.476022 | − | 0.879433i | ||||
0.476022 | − | 0.879433i | ||||||||
−17.7960 | − | 12.2214i | −0.856212 | − | 0.588001i | |||||
15.4998i | 0.744871i | 0.928058 | + | 0.372436i | ||||||
−0.928058 | + | 0.372436i | ||||||||
−1.08626 | + | 4.27878i | −0.0521421 | + | 0.205388i | |||||
6.82155 | + | 2.82558i | 0.327068 | + | 0.135476i | |||||
−2.00910 | + | 1.62754i | −0.0962187 | + | 0.0779453i | |||||
0.743701 | + | 1.79545i | 0.0355760 | + | 0.0858882i | |||||
−1.71320 | + | 2.29468i | −0.0818597 | + | 0.109644i | |||||
−2.92729 | − | 2.92729i | −0.139712 | − | 0.139712i | 0.633792 | − | 0.773504i | ||
−0.773504 | + | 0.633792i | ||||||||
−6.13455 | + | 6.63994i | −0.292453 | + | 0.316547i | |||||
−7.50639 | + | 7.50639i | −0.357447 | + | 0.357447i | |||||
1.76779 | + | 12.1845i | 0.0840852 | + | 0.579555i | |||||
27.6395 | − | 11.4487i | 1.31319 | − | 0.543943i | 0.387379 | − | 0.921921i | ||
0.925815 | + | 0.377978i | ||||||||
−11.8497 | − | 6.43109i | −0.562362 | − | 0.305206i | |||||
−7.40925 | + | 17.8875i | −0.351232 | + | 0.847950i | |||||
−4.17660 | + | 2.48533i | −0.197768 | + | 0.117684i | |||||
−11.4244 | −0.540356 | |||||||||
3.99674 | − | 4.68475i | 0.188828 | − | 0.221333i | |||||
15.2099 | 0.717800 | 0.358900 | − | 0.933376i | ||||||
0.358900 | + | 0.933376i | ||||||||
−10.5007 | + | 6.24855i | −0.495007 | + | 0.294559i | |||||
1.66573 | − | 4.02143i | 0.0784362 | − | 0.189362i | |||||
34.0228 | + | 18.4649i | 1.60030 | + | 0.868514i | |||||
−8.87069 | + | 3.67436i | −0.416781 | + | 0.172636i | |||||
−3.21076 | − | 22.1301i | −0.150689 | − | 1.03862i | |||||
−4.37384 | + | 4.37384i | −0.205049 | + | 0.205049i | |||||
−4.94185 | − | 4.56571i | −0.231423 | − | 0.213809i | |||||
−18.5887 | − | 18.5887i | −0.869542 | − | 0.869542i | 0.122880 | − | 0.992422i | ||
−0.992422 | + | 0.122880i | ||||||||
20.1708 | − | 27.0170i | 0.942518 | − | 1.26242i | |||||
−7.15170 | − | 17.2657i | −0.333813 | − | 0.805895i | |||||
−4.70305 | + | 3.80987i | −0.219281 | + | 0.177636i | |||||
−11.2192 | − | 4.64714i | −0.522530 | − | 0.216439i | 0.105798 | − | 0.994388i | ||
−0.628328 | + | 0.777949i | ||||||||
0.310450 | − | 1.22287i | 0.0144435 | − | 0.0568929i | |||||
− | 18.8259i | − | 0.874915i | −0.899239 | − | 0.437458i | ||||
0.899239 | − | 0.437458i | ||||||||
7.83905 | − | 1.45582i | 0.363919 | − | 0.0675850i | |||||
15.0217i | 0.696616i | |||||||||
37.9761 | + | 9.64103i | 1.75921 | + | 0.446612i | |||||
−35.1913 | − | 14.5767i | −1.62846 | − | 0.674531i | −0.633403 | − | 0.773822i | ||
−0.995058 | + | 0.0992914i | ||||||||
8.28546 | + | 0.869317i | 0.382996 | + | 0.0401842i | |||||
−2.36033 | − | 5.69833i | −0.108990 | − | 0.263124i | |||||
25.2715 | + | 18.8675i | 1.16569 | + | 0.870294i | |||||
13.1177 | + | 13.1177i | 0.604431 | + | 0.604431i | |||||
−13.0806 | − | 28.3538i | −0.602084 | − | 1.30509i | |||||
−6.10566 | + | 6.10566i | −0.280739 | + | 0.280739i | |||||
8.64313 | − | 1.25400i | 0.396992 | − | 0.0575979i | |||||
−9.88909 | + | 4.09619i | −0.453742 | + | 0.187946i | |||||
5.11094 | − | 1.51494i | 0.234260 | − | 0.0694371i | |||||
8.12738 | − | 19.6212i | 0.372127 | − | 0.898394i | |||||
−17.7775 | − | 29.8751i | −0.813122 | − | 1.36645i | |||||
2.83141 | 0.129371 | 0.0646853 | − | 0.997906i | ||||||
0.0646853 | + | 0.997906i | ||||||||
9.25938 | − | 18.7977i | 0.422631 | − | 0.857992i | |||||
14.6240 | 0.666795 | |||||||||
7.80883 | + | 13.1228i | 0.355683 | + | 0.597725i | |||||
0.323261 | − | 0.780422i | 0.0147089 | − | 0.0355104i | |||||
0.568379 | + | 1.91754i | 0.0258354 | + | 0.0871607i | |||||
38.9128 | − | 16.1182i | 1.76694 | − | 0.731889i | |||||
−20.5765 | + | 2.98536i | −0.933370 | + | 0.135419i | |||||
−0.948636 | + | 0.948636i | −0.0429868 | + | 0.0429868i | −0.728273 | − | 0.685287i | ||
0.685287 | + | 0.728273i | ||||||||
−17.0097 | − | 6.26996i | −0.769994 | − | 0.283828i | |||||
4.87784 | + | 4.87784i | 0.220584 | + | 0.220584i | |||||
−23.2073 | − | 17.3265i | −1.04840 | − | 0.782730i | |||||
14.3747 | + | 34.7036i | 0.648721 | + | 1.56615i | 0.814612 | + | 0.580007i | ||
−0.165891 | + | 0.986144i | ||||||||
−1.05283 | + | 10.0345i | −0.0474651 | + | 0.452390i | |||||
6.37662 | + | 2.64128i | 0.287189 | + | 0.118957i | |||||
7.07342 | + | 1.79574i | 0.318248 | + | 0.0807940i | |||||
5.29519i | 0.238001i | |||||||||
8.83956 | + | 13.6009i | 0.396908 | + | 0.610699i | |||||
6.13072i | 0.275001i | |||||||||
2.10898 | − | 8.30730i | 0.0945058 | − | 0.372259i | |||||
−26.9875 | − | 11.1786i | −1.20813 | − | 0.500422i | −0.314510 | − | 0.949254i | ||
−0.893616 | + | 0.448832i | ||||||||
−0.865834 | − | 1.06882i | −0.0387213 | − | 0.0477991i | |||||
−9.19300 | − | 22.1939i | −0.410713 | − | 0.991548i | |||||
−14.1591 | + | 18.9649i | −0.631951 | + | 0.846445i | |||||
11.9194 | + | 11.9194i | 0.531459 | + | 0.531459i | 0.921006 | − | 0.389548i | ||
−0.389548 | + | 0.921006i | ||||||||
−0.142593 | − | 3.60423i | −0.00635159 | − | 0.160545i | |||||
−23.9270 | + | 23.9270i | −1.06474 | + | 1.06474i | |||||
0.192267 | + | 1.32519i | 0.00854729 | + | 0.0589120i | |||||
−7.15121 | + | 2.96213i | −0.317597 | + | 0.131553i | |||||
−1.13810 | + | 2.09702i | −0.0504950 | + | 0.0930404i | |||||
0.380641 | − | 0.918948i | 0.0168716 | − | 0.0407316i | −0.915219 | − | 0.402956i | ||
0.932091 | + | 0.362225i | ||||||||
15.5883 | − | 9.27600i | 0.690263 | − | 0.410748i | |||||
−1.34487 | −0.0594934 | |||||||||
−2.67791 | − | 22.4684i | −0.118348 | − | 0.992972i | |||||
−11.0773 | −0.489073 | |||||||||
25.2445 | − | 15.0220i | 1.11349 | − | 0.662592i | |||||
−11.6883 | + | 28.2181i | −0.515050 | + | 1.24344i | |||||
9.54714 | − | 17.5912i | 0.420289 | − | 0.774411i | |||||
6.44626 | − | 2.67013i | 0.283506 | − | 0.117432i | |||||
−0.909125 | − | 6.26613i | −0.0399447 | − | 0.275318i | |||||
−14.9869 | + | 14.9869i | −0.657851 | + | 0.657851i | |||||
0.898504 | + | 22.7109i | 0.0394020 | + | 0.995939i | |||||
−9.33168 | − | 9.33168i | −0.408828 | − | 0.408828i | 0.472502 | − | 0.881330i | ||
−0.881330 | + | 0.472502i | ||||||||
2.79398 | − | 3.74231i | 0.122289 | − | 0.163796i | |||||
11.0568 | + | 26.6934i | 0.483480 | + | 1.16722i | 0.957946 | + | 0.286949i | ||
−0.474466 | + | 0.880274i | ||||||||
25.5688 | + | 31.5631i | 1.11698 | + | 1.37884i | |||||
4.29845 | + | 1.78048i | 0.187600 | + | 0.0777063i | |||||
−7.04424 | + | 27.7473i | −0.307144 | + | 1.20984i | |||||
14.0420i | 0.611678i | |||||||||
−2.52632 | − | 3.88711i | −0.109944 | − | 0.169165i | |||||
− | 22.1034i | − | 0.961020i | |||||||
56.1601 | + | 14.2574i | 2.43944 | + | 0.619303i | |||||
−16.8982 | − | 6.99945i | −0.733318 | − | 0.303750i | |||||
0.329712 | − | 3.14248i | 0.0142948 | − | 0.136244i | |||||
−4.18804 | − | 10.1108i | −0.181404 | − | 0.437948i | |||||
−7.95617 | − | 5.94003i | −0.344297 | − | 0.257050i | |||||
−37.6223 | − | 37.6223i | −1.62655 | − | 1.62655i | |||||
−21.2649 | − | 7.83846i | −0.918504 | − | 0.338570i | |||||
9.54452 | − | 9.54452i | 0.411877 | − | 0.411877i | |||||
28.5491 | − | 4.14207i | 1.23084 | − | 0.178577i | |||||
−5.91975 | + | 2.45204i | −0.254982 | + | 0.105617i | |||||
−9.80442 | − | 33.0771i | −0.421915 | − | 1.42341i | |||||
−6.48221 | + | 15.6494i | −0.278692 | + | 0.672822i | −0.999800 | − | 0.0200006i | ||
0.721108 | + | 0.692823i | ||||||||
−0.924959 | − | 1.55440i | −0.0397304 | − | 0.0667670i | |||||
8.23180 | 0.353260 | |||||||||
8.65545 | − | 17.5716i | 0.371099 | − | 0.753376i | |||||
−4.13197 | −0.176994 | |||||||||
−1.62212 | − | 2.72598i | −0.0694204 | − | 0.116661i | |||||
8.37376 | − | 20.2160i | 0.358036 | − | 0.864376i | −0.637540 | − | 0.770417i | ||
0.995576 | − | 0.0939585i | ||||||||
30.6051 | − | 9.07169i | 1.30739 | − | 0.387523i | |||||
−9.81049 | + | 4.06364i | −0.418702 | + | 0.173432i | |||||
−7.29896 | + | 1.05898i | −0.311229 | + | 0.0451549i | |||||
2.89283 | − | 2.89283i | 0.123239 | − | 0.123239i | |||||
−1.30025 | − | 2.81845i | −0.0553424 | − | 0.119961i | |||||
2.90025 | + | 2.90025i | 0.123331 | + | 0.123331i | |||||
24.4582 | + | 18.2604i | 1.03913 | + | 0.775809i | |||||
−8.24516 | − | 19.9056i | −0.349988 | − | 0.844945i | |||||
28.5388 | + | 2.99431i | 1.21031 | + | 0.126987i | |||||
−22.4053 | − | 9.28058i | −0.949344 | − | 0.393231i | −0.146360 | − | 0.989231i | ||
−0.802984 | + | 0.596000i | ||||||||
9.20937 | + | 2.33799i | 0.389864 | + | 0.0989751i | |||||
21.7097i | 0.918222i | |||||||||
9.67540 | − | 1.79686i | 0.408860 | − | 0.0759312i | |||||
− | 4.01316i | − | 0.169436i | |||||||
−1.64159 | + | 6.46625i | −0.0692464 | + | 0.272762i | |||||
15.2112 | + | 6.30068i | 0.641075 | + | 0.265542i | 0.679450 | − | 0.733722i | ||
−0.0383755 | + | 0.999263i | ||||||||
−12.5672 | + | 10.1805i | −0.529175 | + | 0.428677i | |||||
23.6734 | + | 57.1527i | 0.995949 | + | 2.40443i | |||||
−0.536311 | + | 0.718343i | −0.0225428 | + | 0.0301942i | |||||
0.699364 | + | 0.699364i | 0.0293705 | + | 0.0293705i | |||||
16.5464 | + | 15.2870i | 0.694272 | + | 0.641428i | |||||
−17.8883 | + | 17.8883i | −0.749915 | + | 0.749915i | −0.974463 | − | 0.224548i | ||
0.224548 | + | 0.974463i | ||||||||
−1.54379 | − | 10.6405i | −0.0646622 | − | 0.445683i | |||||
19.2874 | − | 7.98909i | 0.807151 | − | 0.334333i | 0.0593344 | − | 0.998238i | ||
0.747817 | + | 0.663905i | ||||||||
4.41954 | + | 2.39858i | 0.184790 | + | 0.100290i | |||||
0.410943 | − | 0.992105i | 0.0171674 | − | 0.0414458i | |||||
−4.07197 | + | 2.42307i | −0.169961 | + | 0.101137i | |||||
−4.93807 | −0.205932 | |||||||||
−10.0831 | − | 8.60232i | −0.420130 | − | 0.358430i | |||||
19.2320 | 0.800638 | 0.400319 | − | 0.916376i | ||||||
0.400319 | + | 0.916376i | ||||||||
−6.08881 | + | 3.62321i | −0.253261 | + | 0.150706i | |||||
−1.91273 | + | 4.61775i | −0.0794905 | + | 0.191907i | |||||
11.1985 | + | 6.07768i | 0.464994 | + | 0.252362i | |||||
3.71872 | − | 1.54035i | 0.154279 | − | 0.0639043i | |||||
3.10133 | + | 21.3758i | 0.128554 | + | 0.886056i | |||||
9.06437 | − | 9.06437i | 0.375408 | − | 0.375408i | |||||
−3.35344 | + | 3.62971i | −0.138766 | + | 0.150198i | |||||
9.41396 | + | 9.41396i | 0.389219 | + | 0.389219i | |||||
−7.93823 | + | 10.6326i | −0.327925 | + | 0.439228i | |||||
−9.27341 | − | 22.3880i | −0.382755 | − | 0.924051i | −0.991431 | − | 0.130633i | ||
0.608676 | − | 0.793419i | ||||||||
11.5408 | − | 9.34899i | 0.475933 | − | 0.385546i | |||||
7.68963 | + | 3.18515i | 0.316846 | + | 0.131242i | |||||
12.2788 | − | 48.3661i | 0.505509 | − | 1.99120i | |||||
− | 30.2654i | − | 1.24495i | |||||||
−19.1788 | − | 13.1710i | −0.788243 | − | 0.541323i | |||||
− | 16.9693i | − | 0.696847i | −0.937337 | − | 0.348423i | ||||
0.937337 | − | 0.348423i | ||||||||
−7.39798 | − | 1.87813i | −0.303543 | − | 0.0770608i | |||||
7.87038 | + | 3.26002i | 0.322654 | + | 0.133648i | |||||
−19.6069 | − | 2.05717i | −0.803129 | − | 0.0842650i | |||||
−3.45907 | − | 8.35094i | −0.141570 | − | 0.341781i | |||||
2.69779 | + | 2.01415i | 0.110321 | + | 0.0823649i | |||||
10.9763 | + | 10.9763i | 0.448480 | + | 0.448480i | 0.894849 | − | 0.446369i | ||
−0.446369 | + | 0.894849i | ||||||||
15.5236 | − | 7.16160i | 0.633748 | − | 0.292371i | |||||
−24.1575 | + | 24.1575i | −0.985407 | + | 0.985407i | −0.999895 | − | 0.0144882i | ||
0.0144882 | + | 0.999895i | ||||||||
9.30225 | − | 1.34962i | 0.379131 | − | 0.0550065i | |||||
−12.2647 | + | 5.08021i | −0.499457 | + | 0.206882i | |||||
−15.8858 | + | 4.70871i | −0.646382 | + | 0.191595i | |||||
−1.22310 | + | 2.95283i | −0.0497262 | + | 0.120050i | |||||
−8.87380 | − | 14.9124i | −0.360473 | − | 0.605776i | |||||
−11.5860 | −0.470261 | −0.235131 | − | 0.971964i | ||||||
−0.235131 | + | 0.971964i | ||||||||
−7.65921 | − | 8.72567i | −0.310622 | − | 0.353872i | |||||
−1.77825 | −0.0720584 | |||||||||
−14.8147 | − | 24.8961i | −0.599828 | − | 1.00801i | |||||
6.71334 | − | 16.2074i | 0.271593 | − | 0.655682i | |||||
−3.26065 | − | 11.0004i | −0.131804 | − | 0.444667i | |||||
−6.31913 | + | 2.61747i | −0.255227 | + | 0.105719i | −0.506629 | − | 0.862164i | ||
0.251402 | + | 0.967883i | ||||||||
−7.73911 | + | 1.12283i | −0.312325 | + | 0.0453139i | |||||
−11.4012 | + | 11.4012i | −0.459741 | + | 0.459741i | |||||
0.753002 | − | 2.04281i | 0.0303393 | − | 0.0823073i | |||||
−14.5350 | − | 14.5350i | −0.585158 | − | 0.585158i | 0.351158 | − | 0.936316i | ||
−0.936316 | + | 0.351158i | ||||||||
−12.5511 | − | 9.37059i | −0.504880 | − | 0.376940i | |||||
6.68173 | + | 16.1311i | 0.268561 | + | 0.648364i | 0.999416 | − | 0.0341686i | ||
−0.730855 | + | 0.682533i | ||||||||
−2.70493 | + | 25.7807i | −0.108633 | + | 1.03538i | |||||
−4.72133 | − | 1.95564i | −0.189460 | − | 0.0784770i | |||||
−13.6748 | − | 3.47165i | −0.548311 | − | 0.139200i | |||||
− | 4.66295i | − | 0.186817i | |||||||
−11.4020 | − | 2.41925i | −0.456446 | − | 0.0968475i | |||||
23.8778i | 0.955111i | |||||||||
5.31242 | − | 20.9257i | 0.212327 | − | 0.836357i | |||||
−2.19768 | − | 0.910308i | −0.0877668 | − | 0.0363542i | |||||
20.1509 | + | 24.8750i | 0.804107 | + | 0.992621i | |||||
−7.70739 | − | 18.6073i | −0.307314 | − | 0.741921i | |||||
3.44849 | − | 4.61896i | 0.137391 | − | 0.184024i | |||||
7.73226 | + | 7.73226i | 0.307817 | + | 0.307817i | 0.844062 | − | 0.536245i | ||
−0.536245 | + | 0.844062i | ||||||||
15.0594 | − | 0.595789i | 0.599030 | − | 0.0236992i | |||||
5.74254 | − | 5.74254i | 0.228246 | − | 0.228246i | |||||
5.10216 | + | 35.1666i | 0.202633 | + | 1.39664i | |||||
−3.52266 | + | 1.45913i | −0.139792 | + | 0.0579039i | |||||
−14.1735 | + | 26.1157i | −0.562017 | + | 1.03555i | |||||
−6.16500 | + | 14.8836i | −0.244266 | + | 0.589711i | |||||
2.42246 | − | 1.44151i | 0.0959062 | − | 0.0570700i | |||||
13.1954 | 0.522000 | |||||||||
19.2761 | − | 30.5937i | 0.761953 | − | 1.20932i | |||||
−25.2046 | −0.995522 | −0.497761 | − | 0.867314i | ||||||
−0.497761 | + | 0.867314i | ||||||||
23.4480 | − | 13.9530i | 0.925417 | − | 0.550679i | |||||
−1.80757 | + | 4.36386i | −0.0712837 | + | 0.172094i | −0.955506 | − | 0.294973i | ||
0.884222 | + | 0.467067i | ||||||||
0.695319 | − | 1.28117i | 0.0273994 | − | 0.0504853i | |||||
29.5504 | − | 12.2402i | 1.16355 | − | 0.481957i | |||||
−1.44310 | − | 9.94652i | −0.0567779 | − | 0.391341i | |||||
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−0.984763 | + | 0.173902i | ||||||||
3.63141 | − | 0.143668i | 0.142655 | − | 0.00564382i | |||||
−7.80640 | − | 7.80640i | −0.306428 | − | 0.306428i | |||||
−11.0937 | + | 14.8590i | −0.435129 | + | 0.582819i | |||||
−1.38448 | − | 3.34242i | −0.0542619 | − | 0.131000i | |||||
7.49314 | + | 9.24983i | 0.293454 | + | 0.362251i | |||||
33.9870 | + | 14.0779i | 1.33002 | + | 0.550910i | 0.930660 | − | 0.365886i | ||
0.399355 | + | 0.916796i | ||||||||
0.521407 | − | 2.05383i | 0.0203886 | − | 0.0803110i | |||||
64.9134i | 2.53638i | |||||||||
−3.61378 | + | 17.0319i | −0.141095 | + | 0.664984i | |||||
2.89460i | 0.112929i | |||||||||
−7.36197 | − | 1.86899i | −0.286999 | − | 0.0728608i | |||||
1.06355 | + | 0.440539i | 0.0414302 | + | 0.0171610i | 0.403302 | − | 0.915067i | ||
−0.361872 | + | 0.932228i | ||||||||
0.773063 | − | 7.36806i | 0.0300915 | − | 0.286802i | |||||
−5.03257 | − | 12.1497i | −0.195744 | − | 0.472569i | 0.795281 | − | 0.606241i | ||
−0.991026 | + | 0.133672i | ||||||||
28.2626 | + | 21.1007i | 1.09846 | + | 0.820102i | |||||
−7.13473 | − | 7.13473i | −0.277090 | − | 0.277090i | |||||
5.11537 | − | 13.8775i | 0.198515 | − | 0.538550i | |||||
3.57049 | − | 3.57049i | 0.138458 | − | 0.138458i | |||||
−13.4868 | + | 1.95674i | −0.522602 | + | 0.0758221i | |||||
1.74369 | − | 0.722261i | 0.0675160 | − | 0.0279660i | |||||
−11.7809 | − | 39.7451i | −0.455816 | − | 1.53778i | |||||
1.52423 | − | 3.67981i | 0.0589300 | − | 0.142270i | |||||
−18.5207 | − | 31.1241i | −0.715518 | − | 1.20243i | |||||
−6.40940 | −0.247432 | |||||||||
−0.327781 | + | 5.03597i | −0.0126444 | + | 0.194267i | |||||
16.3757 | 0.631237 | 0.315618 | − | 0.948886i | ||||||
0.315618 | + | 0.948886i | ||||||||
18.2521 | + | 30.6726i | 0.703044 | + | 1.18147i | |||||
10.7714 | − | 26.0044i | 0.414590 | − | 1.00091i | |||||
−12.8065 | + | 3.79598i | −0.492558 | + | 0.145999i | |||||
−7.18701 | + | 2.97696i | −0.276219 | + | 0.114414i | −0.516493 | − | 0.856291i | ||
0.240274 | + | 0.970705i | ||||||||
−31.3955 | + | 4.55504i | −1.20574 | + | 0.174935i | |||||
−7.17278 | + | 7.17278i | −0.275266 | + | 0.275266i | |||||
28.4234 | − | 13.1128i | 1.08999 | − | 0.502851i | |||||
12.9585 | + | 12.9585i | 0.496571 | + | 0.496571i | |||||
4.59551 | + | 3.43098i | 0.175971 | + | 0.131379i | |||||
8.98311 | + | 21.6872i | 0.343729 | + | 0.829836i | 0.997332 | + | 0.0729982i | ||
−0.653603 | + | 0.756838i | ||||||||
−6.76366 | − | 0.709649i | −0.258615 | − | 0.0271341i | |||||
47.1291 | + | 19.5215i | 1.80071 | + | 0.745878i | |||||
14.1465 | + | 3.59138i | 0.540115 | + | 0.137120i | |||||
27.6313i | 1.05420i | |||||||||
19.5527 | − | 28.4715i | 0.745439 | − | 1.08546i | |||||
− | 32.2299i | − | 1.22786i | |||||||
1.22055 | − | 4.80774i | 0.0464654 | − | 0.183027i | |||||
22.5022 | + | 9.32071i | 0.856023 | + | 0.354577i | 0.767151 | − | 0.641467i | ||
0.0888724 | + | 0.996043i | ||||||||
−28.4196 | + | 23.0222i | −1.08035 | + | 0.875174i | |||||
−0.488030 | − | 1.17821i | −0.0185387 | − | 0.0447565i | |||||
−13.1101 | + | 17.5599i | −0.497653 | + | 0.666564i | |||||
32.4258 | + | 32.4258i | 1.22998 | + | 1.22998i | |||||
−4.43408 | + | 4.79938i | −0.168074 | + | 0.181920i | |||||
−10.6576 | + | 10.6576i | −0.403685 | + | 0.403685i | |||||
−6.01136 | − | 41.4331i | −0.227533 | − | 1.56827i | |||||
−29.6654 | + | 12.2878i | −1.12205 | + | 0.464768i | |||||
7.05651 | + | 3.82971i | 0.266711 | + | 0.144750i | |||||
−7.18195 | + | 17.3388i | −0.271259 | + | 0.654876i | −0.999538 | − | 0.0304044i | ||
0.728279 | + | 0.685281i | ||||||||
−16.4914 | + | 9.81337i | −0.622427 | + | 0.370382i | |||||
−11.9380 | −0.450248 | |||||||||
−3.63580 | − | 7.12607i | −0.137029 | − | 0.268574i | |||||
−25.8460 | −0.973417 | |||||||||
−8.21880 | + | 4.89068i | −0.309319 | + | 0.184063i | |||||
3.11867 | − | 7.52913i | 0.117290 | − | 0.283162i | |||||
22.4913 | + | 12.2065i | 0.845276 | + | 0.458749i | |||||
−4.87997 | + | 2.02135i | −0.183271 | + | 0.0759134i | −0.472432 | − | 0.881367i | ||
0.289161 | + | 0.957281i | ||||||||
5.16895 | + | 35.6269i | 0.193987 | + | 1.33705i | |||||
6.24231 | − | 6.24231i | 0.234105 | − | 0.234105i | |||||
−12.5850 | − | 11.6271i | −0.471642 | − | 0.435744i | |||||
2.71514 | + | 2.71514i | 0.101683 | + | 0.101683i | |||||
−2.61357 | + | 3.50066i | −0.0978104 | + | 0.131009i | |||||
3.07517 | + | 7.42411i | 0.115005 | + | 0.277646i | |||||
18.0992 | − | 14.6619i | 0.676400 | − | 0.547941i | |||||
26.3216 | + | 10.9027i | 0.982997 | + | 0.407171i | |||||
−8.77179 | + | 34.5521i | −0.327360 | + | 1.28947i | |||||
− | 12.6660i | − | 0.472363i | −0.971709 | − | 0.236182i | ||||
0.971709 | − | 0.236182i | ||||||||
−3.86744 | − | 20.8247i | −0.144131 | − | 0.776090i | |||||
− | 7.35595i | − | 0.273950i | |||||||
20.2697 | + | 5.14588i | 0.754358 | + | 0.191510i | |||||
−11.5619 | − | 4.78908i | −0.429991 | − | 0.178108i | |||||
14.1276 | + | 1.48228i | 0.525050 | + | 0.0550886i | |||||
3.97810 | + | 9.60399i | 0.147743 | + | 0.356683i | |||||
−1.31339 | − | 0.980566i | −0.0487443 | − | 0.0363922i | |||||
−29.3015 | − | 29.3015i | −1.08673 | − | 1.08673i | −0.995863 | − | 0.0908704i | ||
−0.0908704 | − | 0.995863i | ||||||||
−2.29307 | − | 4.97049i | −0.0849868 | − | 0.184219i | |||||
14.7745 | − | 14.7745i | 0.547203 | − | 0.547203i | |||||
−7.81529 | + | 1.13389i | −0.289257 | + | 0.0419671i | |||||
27.6230 | − | 11.4418i | 1.02168 | − | 0.423192i | |||||
14.2442 | − | 4.22214i | 0.526481 | − | 0.156055i | |||||
7.21333 | − | 17.4145i | 0.266430 | − | 0.643220i | −0.732880 | − | 0.680358i | ||
0.999310 | + | 0.0371385i | ||||||||
15.0368 | + | 25.2694i | 0.555019 | + | 0.932711i | |||||
23.7350 | 0.875477 | |||||||||
−1.72402 | − | 5.07123i | −0.0635481 | − | 0.186928i | |||||
−8.01278 | −0.295155 | |||||||||
5.21524 | + | 8.76423i | 0.191976 | + | 0.322616i | |||||
5.51588 | − | 13.3165i | 0.202905 | − | 0.489855i | −0.789370 | − | 0.613918i | ||
0.992274 | + | 0.124063i | ||||||||
−10.5662 | − | 35.6472i | −0.388422 | − | 1.31042i | |||||
−5.52548 | + | 2.28873i | −0.202984 | + | 0.0840786i | |||||
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−0.928370 | + | 0.371657i | ||||||||
−12.4732 | − | 4.59774i | −0.457289 | − | 0.168561i | |||||
−22.2774 | − | 22.2774i | −0.816180 | − | 0.816180i | |||||
−29.9596 | − | 22.3677i | −1.09690 | − | 0.818938i | |||||
−3.31534 | − | 8.00393i | −0.121302 | − | 0.292848i | |||||
0.722641 | − | 6.88749i | 0.0264224 | − | 0.251832i | |||||
11.8386 | + | 4.90372i | 0.432574 | + | 0.179178i | |||||
1.09261 | + | 0.277382i | 0.0398965 | + | 0.0101286i | |||||
− | 36.4981i | − | 1.33184i | −0.746025 | − | 0.665918i | ||||
0.746025 | − | 0.665918i | ||||||||
−23.4014 | + | 15.2091i | −0.853361 | + | 0.554620i | |||||
− | 19.3961i | − | 0.706832i | |||||||
1.74397 | − | 6.86950i | 0.0635115 | − | 0.250172i | |||||
−24.4626 | − | 10.1327i | −0.890286 | − | 0.368768i | |||||
5.23009 | + | 6.45622i | 0.190216 | + | 0.234811i | |||||
11.4221 | + | 27.5754i | 0.415144 | + | 1.00225i | 0.983735 | + | 0.179626i | ||
−0.568591 | + | 0.822620i | ||||||||
−10.1170 | + | 13.5508i | −0.367464 | + | 0.492188i | |||||
−0.775980 | − | 0.775980i | −0.0281663 | − | 0.0281663i | |||||
−0.733474 | − | 18.5396i | −0.0266059 | − | 0.672501i | |||||
25.9070 | − | 25.9070i | 0.939128 | − | 0.939128i | −0.0591223 | − | 0.998251i | ||
0.998251 | + | 0.0591223i | ||||||||
−0.280754 | − | 1.93509i | −0.0101706 | − | 0.0701010i | |||||
0.919386 | − | 0.380822i | 0.0332840 | − | 0.0137867i | |||||
0.883919 | − | 1.62868i | 0.0319791 | − | 0.0589236i | |||||
7.01665 | − | 16.9397i | 0.253687 | − | 0.612455i | |||||
−22.2588 | + | 13.2454i | −0.804244 | + | 0.478574i | |||||
−27.7570 | −1.00225 | |||||||||
12.7744 | + | 13.4419i | 0.460958 | + | 0.485043i | |||||
11.7538 | 0.423855 | 0.211927 | − | 0.977285i | ||||||
0.211927 | + | 0.977285i | ||||||||
2.98994 | − | 1.77919i | 0.107750 | − | 0.0641177i | |||||
−9.21285 | + | 22.2418i | −0.331793 | + | 0.801018i | |||||
−4.11420 | + | 7.58069i | −0.148073 | + | 0.272835i | |||||
−17.1842 | + | 7.11792i | −0.618072 | + | 0.256014i | −0.669676 | − | 0.742654i | ||
0.0516034 | + | 0.998668i | ||||||||
−2.90484 | − | 20.0215i | −0.104412 | − | 0.719659i | |||||
−14.9546 | + | 14.9546i | −0.537184 | + | 0.537184i | |||||
1.47348 | + | 37.2442i | 0.0528949 | + | 1.33699i | |||||
3.66919 | + | 3.66919i | 0.131632 | + | 0.131632i | |||||
12.3943 | − | 16.6011i | 0.444357 | − | 0.595178i | |||||
3.41882 | + | 8.25376i | 0.122492 | + | 0.295722i | |||||
−11.7248 | − | 14.4736i | −0.419816 | − | 0.518237i | |||||
7.35831 | + | 3.04791i | 0.263301 | + | 0.109063i | |||||
1.14094 | − | 4.49416i | 0.0407998 | − | 0.160711i | |||||
10.7579i | 0.384456i | |||||||||
21.4900 | − | 13.9669i | 0.767501 | − | 0.498817i | |||||
51.1585i | 1.82592i | |||||||||
−32.2657 | − | 8.19133i | −1.15088 | − | 0.292175i | |||||
−23.7898 | − | 9.85404i | −0.848013 | − | 0.351259i | −0.0840052 | − | 0.996465i | ||
−0.764008 | + | 0.645207i | ||||||||
5.44983 | − | 51.9423i | 0.194142 | − | 1.85037i | |||||
−8.97813 | − | 21.6751i | −0.319630 | − | 0.771655i | |||||
19.2992 | + | 14.4087i | 0.686635 | + | 0.512638i | |||||
−10.5349 | − | 10.5349i | −0.374579 | − | 0.374579i | |||||
−4.39681 | − | 1.62071i | −0.156234 | − | 0.0575895i | |||||
−11.3948 | + | 11.3948i | −0.404643 | + | 0.404643i | |||||
−48.4756 | + | 7.03312i | −1.72034 | + | 0.249596i | |||||
−43.8701 | + | 18.1716i | −1.55591 | + | 0.644480i | |||||
−4.43282 | − | 14.9550i | −0.157117 | − | 0.530065i | |||||
5.34885 | − | 12.9133i | 0.189466 | − | 0.457411i | −0.800391 | − | 0.599478i | ||
0.989857 | + | 0.142067i | ||||||||
1.32419 | + | 2.22530i | 0.0468756 | + | 0.0787746i | |||||
−24.1602 | −0.854728 | |||||||||
27.9316 | − | 9.49563i | 0.987531 | − | 0.335721i | |||||
−10.0362 | −0.354612 | |||||||||
9.44039 | + | 15.8646i | 0.333352 | + | 0.560198i | |||||
−0.668606 | + | 1.61416i | −0.0235946 | + | 0.0569624i | |||||
17.8076 | − | 5.27836i | 0.628025 | − | 0.186153i | |||||
2.15216 | − | 0.891455i | 0.0758537 | − | 0.0314196i | |||||
14.2698 | − | 2.07034i | 0.502631 | − | 0.0729246i | |||||
−16.7172 | + | 16.7172i | −0.588473 | + | 0.588473i | |||||
−12.5442 | − | 27.1910i | −0.441304 | − | 0.956577i | |||||
2.78835 | + | 2.78835i | 0.0980333 | + | 0.0980333i | 0.754422 | − | 0.656389i | ||
−0.656389 | + | 0.754422i | ||||||||
4.65380 | + | 3.47450i | 0.163518 | + | 0.122081i | |||||
−21.3595 | − | 51.5664i | −0.750034 | − | 1.81074i | −0.559019 | − | 0.829155i | ||
−0.191015 | − | 0.981587i | ||||||||
−3.05189 | − | 0.320206i | −0.107100 | − | 0.0112370i | |||||
1.36951 | + | 0.567268i | 0.0480307 | + | 0.0198950i | |||||
−7.97280 | − | 2.02406i | −0.279447 | − | 0.0709434i | |||||
19.0234i | 0.666360i | |||||||||
2.93109 | + | 15.7828i | 0.102609 | + | 0.552507i | |||||
− | 17.7222i | − | 0.620023i | |||||||
−6.84706 | + | 26.9706i | −0.239402 | + | 0.943005i | |||||
−2.96229 | − | 1.22702i | −0.103511 | − | 0.0428756i | |||||
−21.6201 | + | 17.5141i | −0.755006 | + | 0.611618i | |||||
12.3726 | + | 29.8701i | 0.431806 | + | 1.04247i | 0.978705 | + | 0.205273i | ||
−0.546899 | + | 0.837199i | ||||||||
−15.6505 | + | 20.9625i | −0.545873 | + | 0.731150i | |||||
−6.06607 | − | 6.06607i | −0.211450 | − | 0.211450i | 0.593433 | − | 0.804883i | ||
−0.804883 | + | 0.593433i | ||||||||
−19.8532 | − | 18.3421i | −0.691620 | − | 0.638978i | |||||
4.27398 | − | 4.27398i | 0.148801 | − | 0.148801i | |||||
1.72556 | + | 11.8934i | 0.0600400 | + | 0.413825i | |||||
−28.5678 | + | 11.8332i | −0.993399 | + | 0.411479i | −0.819372 | − | 0.573262i | ||
−0.174027 | + | 0.984741i | ||||||||
−2.75751 | − | 1.49656i | −0.0958301 | − | 0.0520090i | |||||
−7.99577 | + | 19.3035i | −0.277704 | + | 0.670438i | −0.999771 | − | 0.0213854i | ||
0.722067 | + | 0.691823i | ||||||||
20.3115 | − | 12.0866i | 0.705024 | − | 0.419532i | |||||
−25.0143 | −0.867737 | |||||||||
−19.1328 | − | 6.20512i | −0.663311 | − | 0.215124i | |||||
22.1869 | 0.768730 | |||||||||
−20.2093 | + | 12.0257i | −0.699790 | + | 0.416417i | |||||
25.3514 | − | 61.2038i | 0.877323 | − | 2.11804i | |||||
−3.60780 | − | 1.95803i | −0.124778 | − | 0.0677198i | |||||
−20.2207 | + | 8.37568i | −0.698929 | + | 0.289506i | |||||
−6.40991 | − | 44.1802i | −0.221427 | − | 1.52618i | |||||
−0.981871 | + | 0.981871i | −0.0338980 | + | 0.0338980i | −0.723853 | − | 0.689955i | ||
0.689955 | + | 0.723853i | ||||||||
−5.47279 | + | 5.92367i | −0.188829 | + | 0.204386i | |||||
17.6967 | + | 17.6967i | 0.610230 | + | 0.610230i | |||||
−17.2771 | + | 23.1412i | −0.595409 | + | 0.797500i | |||||
−2.09227 | − | 5.05118i | −0.0720616 | − | 0.173972i | |||||
10.8896 | − | 8.82146i | 0.374834 | − | 0.303647i | |||||
−19.7208 | − | 8.16864i | −0.678417 | − | 0.281010i | |||||
−4.02269 | + | 15.8454i | −0.138303 | + | 0.544776i | |||||
− | 0.769748i | − | 0.0264489i | |||||||
−29.0276 | + | 42.2683i | −0.996812 | + | 1.45150i | |||||
− | 0.734674i | − | 0.0252140i | |||||||
24.7532 | + | 6.28411i | 0.849026 | + | 0.215543i | |||||
−5.08817 | − | 2.10759i | −0.174420 | − | 0.0722472i | |||||
−18.3609 | − | 1.92644i | −0.629033 | − | 0.0659987i | |||||
−2.73939 | − | 6.61346i | −0.0937948 | − | 0.226441i | 0.870018 | − | 0.493019i | ||
−0.963813 | + | 0.266579i | ||||||||
5.59089 | + | 4.17412i | 0.191316 | + | 0.142836i | |||||
−7.68488 | − | 7.68488i | −0.262817 | − | 0.262817i | |||||
42.7545 | − | 19.7242i | 1.46132 | − | 0.674160i | |||||
10.5144 | − | 10.5144i | 0.359165 | − | 0.359165i | −0.504340 | − | 0.863505i | ||
0.863505 | + | 0.504340i | ||||||||
−4.07826 | + | 0.591698i | −0.139230 | + | 0.0202002i | |||||
19.3962 | − | 8.03415i | 0.661789 | − | 0.274122i | −0.0264024 | − | 0.999651i | ||
0.688191 | + | 0.725530i | ||||||||
52.9193 | − | 15.6859i | 1.80453 | − | 0.534884i | |||||
1.48604 | − | 3.58763i | 0.0506442 | − | 0.122266i | |||||
26.4072 | + | 44.3774i | 0.899433 | + | 1.51150i | |||||
−24.2050 | −0.823948 | −0.411974 | − | 0.911196i | ||||||
−0.411974 | + | 0.911196i | ||||||||
30.4662 | + | 1.98298i | 1.03648 | + | 0.0674624i | |||||
−58.4483 | −1.98730 | |||||||||
−11.2092 | − | 18.8372i | −0.380906 | − | 0.640113i | |||||
2.22208 | − | 5.36458i | 0.0754658 | − | 0.182191i | |||||
−1.77421 | − | 5.98566i | −0.0602207 | − | 0.203166i | |||||
4.92286 | − | 2.03911i | 0.166997 | − | 0.0691722i | |||||
−10.3338 | + | 1.49928i | −0.350348 | + | 0.0508305i | |||||
−14.2454 | + | 14.2454i | −0.482687 | + | 0.482687i | |||||
1.26468 | − | 3.43095i | 0.0428275 | − | 0.116186i | |||||
15.4382 | + | 15.4382i | 0.522504 | + | 0.522504i | |||||
−2.20228 | − | 1.64421i | −0.0744933 | − | 0.0556163i | |||||
0.202593 | + | 0.489102i | 0.00684889 | + | 0.0165347i | |||||
0.422593 | − | 4.02774i | 0.0142781 | − | 0.136085i | |||||
22.9668 | + | 9.51317i | 0.775534 | + | 0.321237i | 0.735112 | − | 0.677946i | ||
0.0404224 | + | 0.999183i | ||||||||
5.67458 | + | 1.44061i | 0.191508 | + | 0.0486183i | |||||
− | 10.8743i | − | 0.366782i | |||||||
2.65351 | − | 12.5061i | 0.0894497 | − | 0.421580i | |||||
8.10838i | 0.273178i | 0.990628 | + | 0.136589i | ||||||
−0.990628 | + | 0.136589i | ||||||||
3.69412 | − | 14.5512i | 0.124388 | − | 0.489964i | |||||
−15.8996 | − | 6.58581i | −0.535063 | − | 0.221630i | 0.0987563 | − | 0.995112i | ||
−0.633819 | + | 0.773481i | ||||||||
−10.9601 | − | 13.5295i | −0.368627 | − | 0.455048i | |||||
15.6497 | + | 37.7818i | 0.526059 | + | 1.27002i | |||||
−25.3113 | + | 33.9023i | −0.850349 | + | 1.13897i | |||||
7.11744 | + | 7.11744i | 0.238980 | + | 0.238980i | 0.816428 | − | 0.577448i | ||
−0.577448 | + | 0.816428i | ||||||||
19.0521 | − | 0.753750i | 0.639345 | − | 0.0252942i | |||||
0.649331 | − | 0.649331i | 0.0217779 | − | 0.0217779i | |||||
−3.93143 | − | 27.0973i | −0.131782 | − | 0.908304i | |||||
1.18709 | − | 0.491710i | 0.0397691 | − | 0.0164729i | |||||
3.27854 | − | 6.04093i | 0.109774 | − | 0.202265i | |||||
−5.48029 | + | 13.2306i | −0.183391 | + | 0.442745i | |||||
13.8843 | − | 8.26199i | 0.464360 | − | 0.276322i | |||||
37.2233 | 1.24424 | |||||||||
−1.46937 | + | 8.58386i | −0.0490881 | + | 0.286767i | |||||
−2.75912 | −0.0921245 | |||||||||
−18.4849 | + | 10.9996i | −0.616848 | + | 0.367062i | |||||
3.09333 | − | 7.46795i | 0.103168 | − | 0.249070i | |||||
8.24282 | − | 15.1879i | 0.274761 | − | 0.506265i | |||||
−41.0088 | + | 16.9864i | −1.36620 | + | 0.565899i | |||||
0.883856 | + | 6.09196i | 0.0294292 | + | 0.202840i | |||||
−5.44702 | + | 5.44702i | −0.181266 | + | 0.181266i | |||||
−54.7021 | + | 2.16416i | −1.81936 | + | 0.0719789i | |||||
16.0519 | + | 16.0519i | 0.533582 | + | 0.533582i | |||||
8.12346 | − | 10.8807i | 0.269884 | − | 0.361487i | |||||
−0.0171283 | − | 0.0413514i | −0.000568736 | − | 0.00137305i | 0.923595 | − | 0.383370i | ||
−0.924164 | + | 0.381997i | ||||||||
19.9063 | + | 24.5732i | 0.660615 | + | 0.815489i | |||||
−16.2052 | − | 6.71241i | −0.537492 | − | 0.222637i | |||||
2.15250 | − | 8.47872i | 0.0713547 | − | 0.281067i | |||||
− | 16.2134i | − | 0.537173i | −0.963256 | − | 0.268586i | ||||
0.963256 | − | 0.268586i | ||||||||
9.30779 | + | 1.97490i | 0.308212 | + | 0.0653956i | |||||
− | 5.22913i | − | 0.173059i | |||||||
36.0343 | + | 9.14806i | 1.19191 | + | 0.302591i | |||||
21.9348 | + | 9.08569i | 0.725142 | + | 0.300364i | |||||
−4.97551 | + | 47.4216i | −0.164395 | + | 1.56685i | |||||
−5.98274 | − | 14.4436i | −0.197567 | − | 0.476970i | |||||
21.1780 | + | 15.8113i | 0.698977 | + | 0.521852i | |||||
30.4938 | + | 30.4938i | 1.00590 | + | 1.00590i | 0.999983 | + | 0.00591395i | ||
0.00591395 | + | 0.999983i | ||||||||
2.96045 | − | 8.03139i | 0.0976033 | − | 0.264787i | |||||
4.53171 | − | 4.53171i | 0.149325 | − | 0.149325i | |||||
16.9957 | − | 2.46583i | 0.559722 | − | 0.0812077i | |||||
18.5005 | − | 7.66317i | 0.608952 | − | 0.252236i | |||||
0.507066 | + | 1.71069i | 0.0166812 | + | 0.0562774i | |||||
11.6083 | − | 28.0249i | 0.381678 | − | 0.921453i | |||||
13.6147 | + | 22.8795i | 0.447406 | + | 0.751867i | |||||
−15.8324 | −0.520006 | |||||||||
−8.47411 | + | 7.43840i | −0.278176 | + | 0.244177i | |||||
16.0909 | 0.527926 | 0.263963 | − | 0.964533i | ||||||
0.263963 | + | 0.964533i | ||||||||
−10.8635 | − | 18.2562i | −0.356229 | − | 0.598644i | |||||
5.03267 | − | 12.1499i | 0.164939 | − | 0.398198i | |||||
−53.1253 | + | 15.7469i | −1.74018 | + | 0.515807i | |||||
10.6823 | − | 4.42474i | 0.349721 | − | 0.144859i | |||||
53.3104 | − | 7.73458i | 1.74437 | − | 0.253083i | |||||
7.82558 | − | 7.82558i | 0.255924 | − | 0.255924i | |||||
−10.6982 | + | 4.93545i | −0.349680 | + | 0.161320i | |||||
18.5678 | + | 18.5678i | 0.606584 | + | 0.606584i | 0.942052 | − | 0.335468i | ||
−0.335468 | + | 0.942052i | ||||||||
6.98951 | + | 5.21833i | 0.228216 | + | 0.170384i | |||||
6.77086 | + | 16.3463i | 0.220959 | + | 0.533442i | |||||
−44.3576 | − | 4.65404i | −1.44679 | − | 0.151798i | |||||
−46.9249 | − | 19.4369i | −1.52971 | − | 0.633626i | −0.550201 | − | 0.835033i | ||
−0.979508 | + | 0.201407i | ||||||||
−25.4287 | − | 6.45561i | −0.828512 | − | 0.210335i | |||||
4.12148i | 0.134214i | |||||||||
36.4022 | + | 24.9991i | 1.18479 | + | 0.813652i | |||||
13.2780i | 0.431934i | |||||||||
3.00478 | − | 11.8359i | 0.0976939 | − | 0.384817i | |||||
30.9941 | + | 12.8382i | 1.00717 | + | 0.417185i | 0.824423 | − | 0.565975i | ||
0.182750 | + | 0.983159i | ||||||||
−9.59729 | + | 7.77461i | −0.311705 | + | 0.252508i | |||||
1.68103 | + | 4.05837i | 0.0545686 | + | 0.131740i | |||||
9.05607 | − | 12.1298i | 0.293818 | − | 0.393544i | |||||
−20.5921 | − | 20.5921i | −0.667745 | − | 0.667745i | |||||
−5.11584 | + | 5.53731i | −0.165805 | + | 0.179465i | |||||
21.3166 | − | 21.3166i | 0.690513 | − | 0.690513i | −0.271832 | − | 0.962345i | ||
0.962345 | + | 0.271832i | ||||||||
4.31248 | + | 29.7237i | 0.139622 | + | 0.962339i | |||||
2.73592 | − | 1.13325i | 0.0885322 | − | 0.0366713i | |||||
43.2106 | + | 23.4513i | 1.39753 | + | 0.758468i | |||||
−0.884065 | + | 2.13432i | −0.0285778 | + | 0.0689928i | |||||
−3.44107 | + | 2.04764i | −0.111176 | + | 0.0661564i | |||||
−12.2857 | −0.396725 | |||||||||
2.34114 | + | 29.5414i | 0.0755599 | + | 0.953445i | |||||
−14.5548 | −0.469510 | |||||||||
−17.7728 | + | 10.5759i | −0.573017 | + | 0.340980i | |||||
10.5544 | − | 25.4807i | 0.340112 | − | 0.821103i | |||||
−18.9804 | − | 10.3011i | −0.611319 | − | 0.331775i | |||||
−12.7343 | + | 5.27473i | −0.409932 | + | 0.169799i | |||||
0.171526 | + | 1.18224i | 0.00551876 | + | 0.0380380i | |||||
2.35492 | − | 2.35492i | 0.0757292 | − | 0.0757292i | −0.668228 | − | 0.743957i | ||
0.743957 | + | 0.668228i | ||||||||
−2.07750 | − | 1.91937i | −0.0667734 | − | 0.0616910i | |||||
5.82428 | + | 5.82428i | 0.187103 | + | 0.187103i | |||||
−35.6349 | + | 47.7300i | −1.14417 | + | 1.53252i | |||||
2.59167 | + | 6.25684i | 0.0831706 | + | 0.200792i | 0.959994 | − | 0.280021i | ||
−0.876823 | + | 0.480813i | ||||||||
22.8481 | − | 18.5089i | 0.732852 | − | 0.593672i | |||||
−10.2034 | − | 4.22640i | −0.327107 | − | 0.135492i | |||||
0.466853 | − | 1.83894i | 0.0149589 | − | 0.0589234i | |||||
− | 15.1968i | − | 0.486688i | |||||||
25.2066 | − | 4.68123i | 0.806843 | − | 0.149842i | |||||
− | 31.7772i | − | 1.01664i | −0.861167 | − | 0.508322i | ||||
0.861167 | − | 0.508322i | ||||||||
−9.45572 | − | 2.40054i | −0.302361 | − | 0.0767606i | |||||
−5.59663 | − | 2.31820i | −0.178869 | − | 0.0740901i | |||||
40.7346 | + | 4.27391i | 1.30122 | + | 0.136525i | |||||
−0.819656 | − | 1.97882i | −0.0261696 | − | 0.0631790i | |||||
−42.5670 | − | 31.7803i | −1.35837 | − | 1.01415i | |||||
−11.1801 | − | 11.1801i | −0.356589 | − | 0.356589i | 0.505965 | − | 0.862554i | ||
−0.862554 | + | 0.505965i | ||||||||
−5.97731 | − | 12.9565i | −0.190550 | − | 0.413038i | |||||
59.0170 | − | 59.0170i | 1.88044 | − | 1.88044i | |||||
−9.65977 | + | 1.40149i | −0.307630 | + | 0.0446327i | |||||
5.75088 | − | 2.38209i | 0.183053 | − | 0.0758229i | |||||
−9.89511 | + | 2.93302i | −0.314805 | + | 0.0933117i | |||||
3.12878 | − | 7.55354i | 0.0994894 | − | 0.240189i | |||||
−3.82941 | − | 6.43534i | −0.121707 | − | 0.204528i | |||||
41.8311 | 1.32881 | 0.664404 | − | 0.747374i | ||||||
0.664404 | + | 0.747374i | ||||||||
−20.5789 | − | 10.1368i | −0.653381 | − | 0.321843i | |||||
−28.9052 | −0.917278 | |||||||||
−4.43366 | − | 7.45078i | −0.140627 | − | 0.236324i | |||||
9.53905 | − | 23.0293i | 0.302408 | − | 0.730078i | |||||
3.44465 | + | 11.6212i | 0.109148 | + | 0.368232i | |||||
45.5709 | − | 18.8761i | 1.44324 | − | 0.597811i | 0.482662 | − | 0.875807i | ||
0.960582 | + | 0.277996i | ||||||||
40.8826 | − | 5.93148i | 1.29412 | − | 0.187758i | |||||
22.1975 | − | 22.1975i | 0.702299 | − | 0.702299i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 352.2.n.a.45.7 | ✓ | 160 | |
32.5 | even | 8 | inner | 352.2.n.a.133.7 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
352.2.n.a.45.7 | ✓ | 160 | 1.1 | even | 1 | trivial | |
352.2.n.a.133.7 | yes | 160 | 32.5 | even | 8 | inner |