Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(179,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 15, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bo (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 179.4 | ||
Character | \(\chi\) | \(=\) | 930.179 |
Dual form | 930.2.bo.a.239.4 |
$q$-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 \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.951057i | 0.218508 | + | 0.672499i | ||||
\(3\) | −1.64568 | + | 0.540140i | −0.950131 | + | 0.311850i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 2.22856 | − | 0.183115i | 0.996641 | − | 0.0818916i | ||||
\(6\) | −1.02225 | − | 1.39822i | −0.417330 | − | 0.570820i | ||||
\(7\) | 0.318388 | − | 0.715111i | 0.120339 | − | 0.270286i | −0.843324 | − | 0.537405i | \(-0.819405\pi\) |
0.963664 | + | 0.267118i | \(0.0860714\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | 2.41650 | − | 1.77779i | 0.805499 | − | 0.592597i | ||||
\(10\) | 0.862815 | + | 2.06290i | 0.272846 | + | 0.652346i | ||||
\(11\) | 0.402387 | + | 3.82845i | 0.121324 | + | 1.15432i | 0.870575 | + | 0.492036i | \(0.163747\pi\) |
−0.749251 | + | 0.662286i | \(0.769586\pi\) | |||||||
\(12\) | 1.01389 | − | 1.40429i | 0.292686 | − | 0.405383i | ||||
\(13\) | −1.66928 | − | 1.85392i | −0.462974 | − | 0.514185i | 0.465770 | − | 0.884906i | \(-0.345777\pi\) |
−0.928744 | + | 0.370721i | \(0.879111\pi\) | |||||||
\(14\) | 0.778498 | + | 0.0818234i | 0.208062 | + | 0.0218682i | ||||
\(15\) | −3.56858 | + | 1.50508i | −0.921402 | + | 0.388610i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 3.59563 | + | 0.377916i | 0.872068 | + | 0.0916581i | 0.529980 | − | 0.848010i | \(-0.322199\pi\) |
0.342088 | + | 0.939668i | \(0.388866\pi\) | |||||||
\(18\) | 2.43752 | + | 1.74886i | 0.574529 | + | 0.412210i | ||||
\(19\) | 1.23396 | − | 1.37046i | 0.283091 | − | 0.314404i | −0.584782 | − | 0.811190i | \(-0.698820\pi\) |
0.867873 | + | 0.496786i | \(0.165487\pi\) | |||||||
\(20\) | −1.69531 | + | 1.45806i | −0.379083 | + | 0.326031i | ||||
\(21\) | −0.137703 | + | 1.34881i | −0.0300493 | + | 0.294335i | ||||
\(22\) | −3.51673 | + | 1.56575i | −0.749770 | + | 0.333819i | ||||
\(23\) | 4.03328 | − | 5.55134i | 0.840998 | − | 1.15753i | −0.144778 | − | 0.989464i | \(-0.546247\pi\) |
0.985775 | − | 0.168070i | \(-0.0537533\pi\) | |||||||
\(24\) | 1.64887 | + | 0.530322i | 0.336573 | + | 0.108251i | ||||
\(25\) | 4.93294 | − | 0.816165i | 0.986588 | − | 0.163233i | ||||
\(26\) | 1.24735 | − | 2.16047i | 0.244625 | − | 0.423703i | ||||
\(27\) | −3.01652 | + | 4.23091i | −0.580529 | + | 0.814240i | ||||
\(28\) | 0.162750 | + | 0.765680i | 0.0307569 | + | 0.144700i | ||||
\(29\) | 1.50590 | + | 4.63469i | 0.279639 | + | 0.860640i | 0.987955 | + | 0.154744i | \(0.0494554\pi\) |
−0.708316 | + | 0.705896i | \(0.750545\pi\) | |||||||
\(30\) | −2.53417 | − | 2.92882i | −0.462674 | − | 0.534727i | ||||
\(31\) | 4.10598 | + | 3.76044i | 0.737456 | + | 0.675395i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −2.73010 | − | 6.08305i | −0.475249 | − | 1.05892i | ||||
\(34\) | 0.751691 | + | 3.53643i | 0.128914 | + | 0.606493i | ||||
\(35\) | 0.578598 | − | 1.65197i | 0.0978009 | − | 0.279233i | ||||
\(36\) | −0.910029 | + | 2.85864i | −0.151671 | + | 0.476441i | ||||
\(37\) | 2.63315 | + | 4.56075i | 0.432888 | + | 0.749783i | 0.997121 | − | 0.0758323i | \(-0.0241614\pi\) |
−0.564233 | + | 0.825616i | \(0.690828\pi\) | |||||||
\(38\) | 1.68470 | + | 0.750075i | 0.273294 | + | 0.121678i | ||||
\(39\) | 3.74847 | + | 2.14931i | 0.600235 | + | 0.344165i | ||||
\(40\) | −1.91057 | − | 1.16177i | −0.302088 | − | 0.183692i | ||||
\(41\) | 1.59923 | − | 7.52377i | 0.249757 | − | 1.17502i | −0.657175 | − | 0.753738i | \(-0.728249\pi\) |
0.906932 | − | 0.421277i | \(-0.138418\pi\) | |||||||
\(42\) | −1.32535 | + | 0.285843i | −0.204506 | + | 0.0441065i | ||||
\(43\) | −5.98025 | + | 6.64174i | −0.911980 | + | 1.01286i | 0.0878805 | + | 0.996131i | \(0.471991\pi\) |
−0.999860 | + | 0.0167250i | \(0.994676\pi\) | |||||||
\(44\) | −2.57585 | − | 2.86077i | −0.388323 | − | 0.431277i | ||||
\(45\) | 5.05976 | − | 4.40441i | 0.754265 | − | 0.656570i | ||||
\(46\) | 6.52599 | + | 2.12042i | 0.962204 | + | 0.312639i | ||||
\(47\) | −2.79382 | + | 8.59849i | −0.407520 | + | 1.25422i | 0.511252 | + | 0.859431i | \(0.329182\pi\) |
−0.918772 | + | 0.394788i | \(0.870818\pi\) | |||||||
\(48\) | 0.00516182 | + | 1.73204i | 0.000745044 | + | 0.249999i | ||||
\(49\) | 4.27390 | + | 4.74665i | 0.610557 | + | 0.678093i | ||||
\(50\) | 2.30058 | + | 4.43929i | 0.325351 | + | 0.627811i | ||||
\(51\) | −6.12137 | + | 1.32022i | −0.857163 | + | 0.184867i | ||||
\(52\) | 2.44018 | + | 0.518677i | 0.338392 | + | 0.0719275i | ||||
\(53\) | −3.31260 | − | 7.44023i | −0.455021 | − | 1.02199i | −0.984774 | − | 0.173842i | \(-0.944382\pi\) |
0.529753 | − | 0.848152i | \(-0.322285\pi\) | |||||||
\(54\) | −4.95599 | − | 1.56145i | −0.674425 | − | 0.212487i | ||||
\(55\) | 1.59779 | + | 8.45825i | 0.215446 | + | 1.14051i | ||||
\(56\) | −0.677913 | + | 0.391393i | −0.0905899 | + | 0.0523021i | ||||
\(57\) | −1.29047 | + | 2.92184i | −0.170926 | + | 0.387007i | ||||
\(58\) | −3.94250 | + | 2.86440i | −0.517676 | + | 0.376114i | ||||
\(59\) | 0.995997 | + | 4.68580i | 0.129668 | + | 0.610039i | 0.994208 | + | 0.107475i | \(0.0342765\pi\) |
−0.864540 | + | 0.502564i | \(0.832390\pi\) | |||||||
\(60\) | 2.00237 | − | 3.31519i | 0.258505 | − | 0.427989i | ||||
\(61\) | 4.37433i | 0.560076i | 0.959989 | + | 0.280038i | \(0.0903470\pi\) | ||||
−0.959989 | + | 0.280038i | \(0.909653\pi\) | |||||||
\(62\) | −2.30758 | + | 5.06706i | −0.293062 | + | 0.643517i | ||||
\(63\) | −0.501934 | − | 2.29409i | −0.0632377 | − | 0.289028i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −4.05956 | − | 3.82590i | −0.503527 | − | 0.474544i | ||||
\(66\) | 4.94168 | − | 4.47624i | 0.608278 | − | 0.550988i | ||||
\(67\) | 1.21061 | + | 0.698948i | 0.147900 | + | 0.0853901i | 0.572124 | − | 0.820167i | \(-0.306120\pi\) |
−0.424224 | + | 0.905557i | \(0.639453\pi\) | |||||||
\(68\) | −3.13106 | + | 1.80772i | −0.379697 | + | 0.219218i | ||||
\(69\) | −3.63898 | + | 11.3142i | −0.438081 | + | 1.36207i | ||||
\(70\) | 1.74991 | + | 0.0397935i | 0.209154 | + | 0.00475623i | ||||
\(71\) | −2.80277 | − | 6.29512i | −0.332627 | − | 0.747094i | −0.999997 | − | 0.00236696i | \(-0.999247\pi\) |
0.667370 | − | 0.744727i | \(-0.267420\pi\) | |||||||
\(72\) | −2.99995 | + | 0.0178810i | −0.353547 | + | 0.00210729i | ||||
\(73\) | 0.874246 | + | 8.31790i | 0.102323 | + | 0.973536i | 0.918416 | + | 0.395616i | \(0.129469\pi\) |
−0.816093 | + | 0.577920i | \(0.803864\pi\) | |||||||
\(74\) | −3.52385 | + | 3.91363i | −0.409639 | + | 0.454950i | ||||
\(75\) | −7.67717 | + | 4.00762i | −0.886484 | + | 0.462760i | ||||
\(76\) | −0.192764 | + | 1.83403i | −0.0221116 | + | 0.210377i | ||||
\(77\) | 2.86588 | + | 0.931182i | 0.326598 | + | 0.106118i | ||||
\(78\) | −0.885775 | + | 4.22918i | −0.100294 | + | 0.478860i | ||||
\(79\) | −14.5205 | − | 1.52616i | −1.63368 | − | 0.171707i | −0.757212 | − | 0.653169i | \(-0.773439\pi\) |
−0.876467 | + | 0.481463i | \(0.840106\pi\) | |||||||
\(80\) | 0.514509 | − | 2.17607i | 0.0575239 | − | 0.243292i | ||||
\(81\) | 2.67892 | − | 8.59205i | 0.297658 | − | 0.954673i | ||||
\(82\) | 7.64972 | − | 0.804018i | 0.844770 | − | 0.0887889i | ||||
\(83\) | −1.54644 | + | 7.27543i | −0.169744 | + | 0.798582i | 0.808067 | + | 0.589091i | \(0.200514\pi\) |
−0.977811 | + | 0.209491i | \(0.932819\pi\) | |||||||
\(84\) | −0.681409 | − | 1.17215i | −0.0743478 | − | 0.127892i | ||||
\(85\) | 8.08227 | + | 0.183793i | 0.876645 | + | 0.0199352i | ||||
\(86\) | −8.16467 | − | 3.63515i | −0.880419 | − | 0.391988i | ||||
\(87\) | −4.98161 | − | 6.81380i | −0.534084 | − | 0.730516i | ||||
\(88\) | 1.92477 | − | 3.33380i | 0.205181 | − | 0.355384i | ||||
\(89\) | 9.99308 | − | 7.26040i | 1.05926 | − | 0.769600i | 0.0853120 | − | 0.996354i | \(-0.472811\pi\) |
0.973952 | + | 0.226754i | \(0.0728113\pi\) | |||||||
\(90\) | 5.75239 | + | 3.45109i | 0.606355 | + | 0.363776i | ||||
\(91\) | −1.85724 | + | 0.603453i | −0.194691 | + | 0.0632590i | ||||
\(92\) | 6.86183i | 0.715395i | ||||||||
\(93\) | −8.78828 | − | 3.97066i | −0.911302 | − | 0.411739i | ||||
\(94\) | −9.04099 | −0.932507 | ||||||||
\(95\) | 2.49901 | − | 3.28010i | 0.256393 | − | 0.336531i | ||||
\(96\) | −1.64568 | + | 0.540140i | −0.167961 | + | 0.0551278i | ||||
\(97\) | −1.01105 | − | 1.39159i | −0.102657 | − | 0.141295i | 0.754598 | − | 0.656187i | \(-0.227832\pi\) |
−0.857255 | + | 0.514892i | \(0.827832\pi\) | |||||||
\(98\) | −3.19362 | + | 5.53152i | −0.322605 | + | 0.558768i | ||||
\(99\) | 7.77856 | + | 8.53609i | 0.781774 | + | 0.857909i | ||||
\(100\) | −3.51110 | + | 3.55980i | −0.351110 | + | 0.355980i | ||||
\(101\) | 9.58213 | − | 13.1887i | 0.953458 | − | 1.31232i | 0.00348362 | − | 0.999994i | \(-0.498891\pi\) |
0.949974 | − | 0.312328i | \(-0.101109\pi\) | |||||||
\(102\) | −3.14721 | − | 5.41380i | −0.311620 | − | 0.536046i | ||||
\(103\) | −0.370070 | + | 1.74104i | −0.0364640 | + | 0.171550i | −0.992612 | − | 0.121336i | \(-0.961282\pi\) |
0.956147 | + | 0.292886i | \(0.0946155\pi\) | |||||||
\(104\) | 0.260767 | + | 2.48103i | 0.0255703 | + | 0.243285i | ||||
\(105\) | −0.0598913 | + | 3.03113i | −0.00584479 | + | 0.295808i | ||||
\(106\) | 6.05243 | − | 5.44963i | 0.587864 | − | 0.529315i | ||||
\(107\) | −0.806799 | + | 7.67618i | −0.0779962 | + | 0.742084i | 0.883716 | + | 0.468023i | \(0.155034\pi\) |
−0.961712 | + | 0.274061i | \(0.911633\pi\) | |||||||
\(108\) | −0.0464558 | − | 5.19594i | −0.00447021 | − | 0.499980i | ||||
\(109\) | −0.754139 | + | 2.32100i | −0.0722334 | + | 0.222312i | −0.980655 | − | 0.195743i | \(-0.937288\pi\) |
0.908422 | + | 0.418055i | \(0.137288\pi\) | |||||||
\(110\) | −7.55053 | + | 4.13333i | −0.719915 | + | 0.394098i | ||||
\(111\) | −6.79676 | − | 6.08325i | −0.645120 | − | 0.577397i | ||||
\(112\) | −0.581724 | − | 0.523786i | −0.0549677 | − | 0.0494931i | ||||
\(113\) | −0.0409163 | − | 0.389293i | −0.00384909 | − | 0.0366216i | 0.992429 | − | 0.122822i | \(-0.0391943\pi\) |
−0.996278 | + | 0.0861999i | \(0.972528\pi\) | |||||||
\(114\) | −3.17761 | − | 0.324409i | −0.297610 | − | 0.0303837i | ||||
\(115\) | 7.97187 | − | 13.1100i | 0.743381 | − | 1.22252i | ||||
\(116\) | −3.94250 | − | 2.86440i | −0.366052 | − | 0.265952i | ||||
\(117\) | −7.32969 | − | 1.51237i | −0.677630 | − | 0.139819i | ||||
\(118\) | −4.14868 | + | 2.39524i | −0.381917 | + | 0.220500i | ||||
\(119\) | 1.41506 | − | 2.45095i | 0.129718 | − | 0.224678i | ||||
\(120\) | 3.77170 | + | 0.879920i | 0.344308 | + | 0.0803253i | ||||
\(121\) | −3.73552 | + | 0.794010i | −0.339593 | + | 0.0721827i | ||||
\(122\) | −4.16024 | + | 1.35174i | −0.376650 | + | 0.122381i | ||||
\(123\) | 1.43208 | + | 13.2455i | 0.129126 | + | 1.19431i | ||||
\(124\) | −5.53214 | − | 0.628827i | −0.496801 | − | 0.0564703i | ||||
\(125\) | 10.8439 | − | 2.72217i | 0.969906 | − | 0.243478i | ||||
\(126\) | 2.02670 | − | 1.18628i | 0.180553 | − | 0.105682i | ||||
\(127\) | 16.8171 | − | 3.57458i | 1.49228 | − | 0.317193i | 0.611697 | − | 0.791092i | \(-0.290487\pi\) |
0.880579 | + | 0.473899i | \(0.157154\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 6.25408 | − | 14.1603i | 0.550641 | − | 1.24675i | ||||
\(130\) | 2.38417 | − | 5.04314i | 0.209106 | − | 0.442313i | ||||
\(131\) | 2.80552 | − | 6.30129i | 0.245119 | − | 0.550546i | −0.748526 | − | 0.663105i | \(-0.769238\pi\) |
0.993645 | + | 0.112559i | \(0.0359048\pi\) | |||||||
\(132\) | 5.78422 | + | 3.31658i | 0.503452 | + | 0.288671i | ||||
\(133\) | −0.587148 | − | 1.31876i | −0.0509122 | − | 0.114351i | ||||
\(134\) | −0.290639 | + | 1.36735i | −0.0251074 | + | 0.118121i | ||||
\(135\) | −5.94774 | + | 9.98120i | −0.511900 | + | 0.859045i | ||||
\(136\) | −2.68679 | − | 2.41920i | −0.230391 | − | 0.207445i | ||||
\(137\) | 9.81998 | − | 8.84195i | 0.838978 | − | 0.755419i | −0.132844 | − | 0.991137i | \(-0.542411\pi\) |
0.971821 | + | 0.235718i | \(0.0757442\pi\) | |||||||
\(138\) | −11.8850 | + | 0.0354195i | −1.01172 | + | 0.00301511i | ||||
\(139\) | 11.6813 | + | 3.79550i | 0.990799 | + | 0.321930i | 0.759183 | − | 0.650877i | \(-0.225599\pi\) |
0.231616 | + | 0.972807i | \(0.425599\pi\) | |||||||
\(140\) | 0.502906 | + | 1.67656i | 0.0425033 | + | 0.141695i | ||||
\(141\) | −0.0466679 | − | 15.6594i | −0.00393015 | − | 1.31876i | ||||
\(142\) | 5.12091 | − | 4.61089i | 0.429738 | − | 0.386937i | ||||
\(143\) | 6.42596 | − | 7.13675i | 0.537366 | − | 0.596805i | ||||
\(144\) | −0.944040 | − | 2.84759i | −0.0786700 | − | 0.237299i | ||||
\(145\) | 4.20467 | + | 10.0529i | 0.349179 | + | 0.834850i | ||||
\(146\) | −7.64063 | + | 3.40183i | −0.632343 | + | 0.281537i | ||||
\(147\) | −9.59731 | − | 5.50294i | −0.791573 | − | 0.453875i | ||||
\(148\) | −4.81101 | − | 2.14200i | −0.395462 | − | 0.176071i | ||||
\(149\) | 2.86675 | − | 1.65512i | 0.234853 | − | 0.135593i | −0.377956 | − | 0.925824i | \(-0.623373\pi\) |
0.612809 | + | 0.790231i | \(0.290040\pi\) | |||||||
\(150\) | −6.18385 | − | 6.06300i | −0.504909 | − | 0.495042i | ||||
\(151\) | 7.72992 | + | 10.6393i | 0.629052 | + | 0.865816i | 0.997973 | − | 0.0636448i | \(-0.0202725\pi\) |
−0.368920 | + | 0.929461i | \(0.620272\pi\) | |||||||
\(152\) | −1.80383 | + | 0.383416i | −0.146310 | + | 0.0310992i | ||||
\(153\) | 9.36069 | − | 5.47904i | 0.756767 | − | 0.442954i | ||||
\(154\) | 3.01337i | 0.242824i | ||||||||
\(155\) | 9.83901 | + | 7.62849i | 0.790288 | + | 0.612735i | ||||
\(156\) | −4.29591 | + | 0.464466i | −0.343948 | + | 0.0371870i | ||||
\(157\) | −21.0956 | + | 6.85437i | −1.68361 | + | 0.547039i | −0.985607 | − | 0.169054i | \(-0.945929\pi\) |
−0.698005 | + | 0.716093i | \(0.745929\pi\) | |||||||
\(158\) | −3.03560 | − | 14.2814i | −0.241499 | − | 1.13617i | ||||
\(159\) | 9.47023 | + | 10.4549i | 0.751038 | + | 0.829130i | ||||
\(160\) | 2.22856 | − | 0.183115i | 0.176183 | − | 0.0144765i | ||||
\(161\) | −2.68567 | − | 4.65172i | −0.211661 | − | 0.366607i | ||||
\(162\) | 8.99936 | − | 0.107284i | 0.707057 | − | 0.00842902i | ||||
\(163\) | 12.6788 | − | 17.4509i | 0.993079 | − | 1.36686i | 0.0636024 | − | 0.997975i | \(-0.479741\pi\) |
0.929477 | − | 0.368881i | \(-0.120259\pi\) | |||||||
\(164\) | 3.12856 | + | 7.02686i | 0.244300 | + | 0.548706i | ||||
\(165\) | −7.19808 | − | 13.0565i | −0.560370 | − | 1.01645i | ||||
\(166\) | −7.39722 | + | 0.777479i | −0.574136 | + | 0.0603441i | ||||
\(167\) | 4.37531 | + | 3.93955i | 0.338572 | + | 0.304851i | 0.820824 | − | 0.571181i | \(-0.193515\pi\) |
−0.482253 | + | 0.876032i | \(0.660181\pi\) | |||||||
\(168\) | 0.904218 | − | 1.01027i | 0.0697619 | − | 0.0779443i | ||||
\(169\) | 0.708336 | − | 6.73936i | 0.0544874 | − | 0.518413i | ||||
\(170\) | 2.32276 | + | 7.74349i | 0.178148 | + | 0.593899i | ||||
\(171\) | 0.545488 | − | 5.50543i | 0.0417145 | − | 0.421011i | ||||
\(172\) | 0.934207 | − | 8.88838i | 0.0712326 | − | 0.677733i | ||||
\(173\) | −13.0017 | − | 14.4398i | −0.988501 | − | 1.09784i | −0.995200 | − | 0.0978637i | \(-0.968799\pi\) |
0.00669907 | − | 0.999978i | \(-0.497868\pi\) | |||||||
\(174\) | 4.94091 | − | 6.84337i | 0.374569 | − | 0.518795i | ||||
\(175\) | 0.986939 | − | 3.78745i | 0.0746056 | − | 0.286305i | ||||
\(176\) | 3.76542 | + | 0.800365i | 0.283829 | + | 0.0603298i | ||||
\(177\) | −4.17007 | − | 7.17332i | −0.313442 | − | 0.539180i | ||||
\(178\) | 9.99308 | + | 7.26040i | 0.749013 | + | 0.544190i | ||||
\(179\) | −16.9842 | − | 7.56186i | −1.26946 | − | 0.565200i | −0.342203 | − | 0.939626i | \(-0.611173\pi\) |
−0.927257 | + | 0.374426i | \(0.877840\pi\) | |||||||
\(180\) | −1.50459 | + | 6.53729i | −0.112146 | + | 0.487261i | ||||
\(181\) | −15.6682 | − | 9.04605i | −1.16461 | − | 0.672388i | −0.212206 | − | 0.977225i | \(-0.568065\pi\) |
−0.952405 | + | 0.304837i | \(0.901398\pi\) | |||||||
\(182\) | −1.14784 | − | 1.57986i | −0.0850832 | − | 0.117107i | ||||
\(183\) | −2.36275 | − | 7.19873i | −0.174660 | − | 0.532146i | ||||
\(184\) | −6.52599 | + | 2.12042i | −0.481102 | + | 0.156320i | ||||
\(185\) | 6.70327 | + | 9.68173i | 0.492835 | + | 0.711815i | ||||
\(186\) | 1.06060 | − | 9.58515i | 0.0777669 | − | 0.702817i | ||||
\(187\) | 13.9178i | 1.01777i | ||||||||
\(188\) | −2.79382 | − | 8.59849i | −0.203760 | − | 0.627110i | ||||
\(189\) | 2.06515 | + | 3.50421i | 0.150218 | + | 0.254894i | ||||
\(190\) | 3.89179 | + | 1.36309i | 0.282340 | + | 0.0988891i | ||||
\(191\) | −9.84894 | − | 5.68629i | −0.712644 | − | 0.411445i | 0.0993950 | − | 0.995048i | \(-0.468309\pi\) |
−0.812039 | + | 0.583603i | \(0.801643\pi\) | |||||||
\(192\) | −1.02225 | − | 1.39822i | −0.0737742 | − | 0.100908i | ||||
\(193\) | 2.15768 | − | 4.84622i | 0.155313 | − | 0.348838i | −0.819084 | − | 0.573674i | \(-0.805518\pi\) |
0.974397 | + | 0.224835i | \(0.0721844\pi\) | |||||||
\(194\) | 1.01105 | − | 1.39159i | 0.0725892 | − | 0.0999105i | ||||
\(195\) | 8.74725 | + | 4.10346i | 0.626403 | + | 0.293855i | ||||
\(196\) | −6.24767 | − | 1.32798i | −0.446262 | − | 0.0948559i | ||||
\(197\) | −19.5658 | + | 2.05645i | −1.39400 | + | 0.146516i | −0.771564 | − | 0.636152i | \(-0.780525\pi\) |
−0.622440 | + | 0.782667i | \(0.713859\pi\) | |||||||
\(198\) | −5.71460 | + | 10.0356i | −0.406119 | + | 0.713202i | ||||
\(199\) | −6.34389 | + | 5.71207i | −0.449707 | + | 0.404918i | −0.862620 | − | 0.505853i | \(-0.831178\pi\) |
0.412913 | + | 0.910770i | \(0.364511\pi\) | |||||||
\(200\) | −4.47056 | − | 2.23922i | −0.316116 | − | 0.158337i | ||||
\(201\) | −2.36981 | − | 0.496341i | −0.167153 | − | 0.0350092i | ||||
\(202\) | 15.5042 | + | 5.03763i | 1.09087 | + | 0.354446i | ||||
\(203\) | 3.79378 | + | 0.398742i | 0.266271 | + | 0.0279862i | ||||
\(204\) | 4.17629 | − | 4.66613i | 0.292399 | − | 0.326694i | ||||
\(205\) | 2.18625 | − | 17.0600i | 0.152695 | − | 1.19152i | ||||
\(206\) | −1.77019 | + | 0.186054i | −0.123335 | + | 0.0129630i | ||||
\(207\) | −0.122696 | − | 20.5851i | −0.00852798 | − | 1.43077i | ||||
\(208\) | −2.27902 | + | 1.01468i | −0.158022 | + | 0.0703557i | ||||
\(209\) | 5.74326 | + | 4.17272i | 0.397269 | + | 0.288633i | ||||
\(210\) | −2.90128 | + | 0.879710i | −0.200207 | + | 0.0607057i | ||||
\(211\) | −11.6876 | − | 20.2435i | −0.804608 | − | 1.39362i | −0.916555 | − | 0.399908i | \(-0.869042\pi\) |
0.111947 | − | 0.993714i | \(-0.464291\pi\) | |||||||
\(212\) | 7.05321 | + | 4.07217i | 0.484416 | + | 0.279678i | ||||
\(213\) | 8.01270 | + | 8.84584i | 0.549021 | + | 0.606107i | ||||
\(214\) | −7.54979 | + | 1.60476i | −0.516093 | + | 0.109699i | ||||
\(215\) | −12.1111 | + | 15.8966i | −0.825972 | + | 1.08414i | ||||
\(216\) | 4.92728 | − | 1.64982i | 0.335259 | − | 0.112256i | ||||
\(217\) | 3.99643 | − | 1.73895i | 0.271295 | − | 0.118048i | ||||
\(218\) | −2.44045 | −0.165288 | ||||||||
\(219\) | −5.93155 | − | 13.2163i | −0.400817 | − | 0.893078i | ||||
\(220\) | −6.26427 | − | 5.90371i | −0.422337 | − | 0.398028i | ||||
\(221\) | −5.30148 | − | 7.29686i | −0.356616 | − | 0.490840i | ||||
\(222\) | 3.68520 | − | 8.34393i | 0.247335 | − | 0.560008i | ||||
\(223\) | −6.63291 | − | 11.4885i | −0.444172 | − | 0.769329i | 0.553822 | − | 0.832635i | \(-0.313169\pi\) |
−0.997994 | + | 0.0633062i | \(0.979836\pi\) | |||||||
\(224\) | 0.318388 | − | 0.715111i | 0.0212732 | − | 0.0477804i | ||||
\(225\) | 10.4695 | − | 10.7420i | 0.697964 | − | 0.716133i | ||||
\(226\) | 0.357596 | − | 0.159212i | 0.0237869 | − | 0.0105906i | ||||
\(227\) | 16.7623 | + | 3.56294i | 1.11255 | + | 0.236480i | 0.727293 | − | 0.686327i | \(-0.240778\pi\) |
0.385260 | + | 0.922808i | \(0.374112\pi\) | |||||||
\(228\) | −0.673404 | − | 3.12233i | −0.0445973 | − | 0.206782i | ||||
\(229\) | −7.27677 | − | 6.55203i | −0.480863 | − | 0.432971i | 0.392712 | − | 0.919662i | \(-0.371537\pi\) |
−0.873574 | + | 0.486691i | \(0.838204\pi\) | |||||||
\(230\) | 14.9318 | + | 3.53048i | 0.984575 | + | 0.232793i | ||||
\(231\) | −5.21928 | + | 0.0155545i | −0.343404 | + | 0.00102341i | ||||
\(232\) | 1.50590 | − | 4.63469i | 0.0988673 | − | 0.304282i | ||||
\(233\) | −0.697933 | + | 2.14802i | −0.0457231 | + | 0.140721i | −0.971312 | − | 0.237810i | \(-0.923571\pi\) |
0.925589 | + | 0.378531i | \(0.123571\pi\) | |||||||
\(234\) | −0.826650 | − | 7.43830i | −0.0540398 | − | 0.486257i | ||||
\(235\) | −4.65167 | + | 19.6738i | −0.303442 | + | 1.28338i | ||||
\(236\) | −3.56002 | − | 3.20546i | −0.231738 | − | 0.208657i | ||||
\(237\) | 24.7203 | − | 5.33151i | 1.60576 | − | 0.346319i | ||||
\(238\) | 2.76827 | + | 0.588414i | 0.179440 | + | 0.0381412i | ||||
\(239\) | −5.60126 | + | 2.49384i | −0.362315 | + | 0.161313i | −0.579817 | − | 0.814747i | \(-0.696876\pi\) |
0.217502 | + | 0.976060i | \(0.430209\pi\) | |||||||
\(240\) | 0.328667 | + | 3.85901i | 0.0212153 | + | 0.249098i | ||||
\(241\) | −8.32569 | + | 18.6998i | −0.536305 | + | 1.20456i | 0.418742 | + | 0.908105i | \(0.362471\pi\) |
−0.955047 | + | 0.296455i | \(0.904196\pi\) | |||||||
\(242\) | −1.90949 | − | 3.30733i | −0.122747 | − | 0.212603i | ||||
\(243\) | 0.232274 | + | 15.5867i | 0.0149004 | + | 0.999889i | ||||
\(244\) | −2.57117 | − | 3.53891i | −0.164602 | − | 0.226555i | ||||
\(245\) | 10.3938 | + | 9.79556i | 0.664037 | + | 0.625816i | ||||
\(246\) | −12.1547 | + | 5.45507i | −0.774954 | + | 0.347803i | ||||
\(247\) | −4.60054 | −0.292726 | ||||||||
\(248\) | −1.11148 | − | 5.45570i | −0.0705788 | − | 0.346437i | ||||
\(249\) | −1.38481 | − | 12.8083i | −0.0877588 | − | 0.811692i | ||||
\(250\) | 5.93988 | + | 9.47195i | 0.375671 | + | 0.599059i | ||||
\(251\) | −1.91005 | + | 0.405994i | −0.120561 | + | 0.0256261i | −0.267797 | − | 0.963475i | \(-0.586296\pi\) |
0.147236 | + | 0.989101i | \(0.452962\pi\) | |||||||
\(252\) | 1.75451 | + | 1.56093i | 0.110523 | + | 0.0983293i | ||||
\(253\) | 22.8760 | + | 13.2075i | 1.43820 | + | 0.830345i | ||||
\(254\) | 8.59640 | + | 14.8894i | 0.539386 | + | 0.934244i | ||||
\(255\) | −13.4001 | + | 4.06309i | −0.839145 | + | 0.254441i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 17.4013 | − | 7.74755i | 1.08546 | − | 0.483279i | 0.215554 | − | 0.976492i | \(-0.430844\pi\) |
0.869909 | + | 0.493213i | \(0.164178\pi\) | |||||||
\(258\) | 15.3999 | + | 1.57221i | 0.958755 | + | 0.0978813i | ||||
\(259\) | 4.09981 | − | 0.430907i | 0.254750 | − | 0.0267753i | ||||
\(260\) | 5.53306 | + | 0.709067i | 0.343146 | + | 0.0439744i | ||||
\(261\) | 11.8785 | + | 8.52254i | 0.735262 | + | 0.527532i | ||||
\(262\) | 6.85984 | + | 0.720998i | 0.423802 | + | 0.0445434i | ||||
\(263\) | 0.849899 | + | 0.276149i | 0.0524070 | + | 0.0170281i | 0.335103 | − | 0.942181i | \(-0.391229\pi\) |
−0.282696 | + | 0.959210i | \(0.591229\pi\) | |||||||
\(264\) | −1.36683 | + | 6.52600i | −0.0841226 | + | 0.401648i | ||||
\(265\) | −8.74474 | − | 15.9744i | −0.537185 | − | 0.981299i | ||||
\(266\) | 1.07277 | − | 0.965930i | 0.0657760 | − | 0.0592250i | ||||
\(267\) | −12.5237 | + | 17.3459i | −0.766440 | + | 1.06155i | ||||
\(268\) | −1.39024 | + | 0.146120i | −0.0849223 | + | 0.00892569i | ||||
\(269\) | 20.8075 | + | 4.42278i | 1.26866 | + | 0.269661i | 0.792594 | − | 0.609750i | \(-0.208730\pi\) |
0.476063 | + | 0.879411i | \(0.342063\pi\) | |||||||
\(270\) | −11.3306 | − | 2.57227i | −0.689561 | − | 0.156543i | ||||
\(271\) | −4.32385 | + | 5.95127i | −0.262655 | + | 0.361514i | −0.919893 | − | 0.392169i | \(-0.871725\pi\) |
0.657238 | + | 0.753683i | \(0.271725\pi\) | |||||||
\(272\) | 1.47053 | − | 3.30287i | 0.0891640 | − | 0.200266i | ||||
\(273\) | 2.73046 | − | 1.99626i | 0.165255 | − | 0.120819i | ||||
\(274\) | 11.4437 | + | 6.60704i | 0.691341 | + | 0.399146i | ||||
\(275\) | 5.10960 | + | 18.5571i | 0.308120 | + | 1.11904i | ||||
\(276\) | −3.70635 | − | 11.2923i | −0.223096 | − | 0.679719i | ||||
\(277\) | 4.23752 | + | 13.0418i | 0.254608 | + | 0.783603i | 0.993907 | + | 0.110225i | \(0.0351573\pi\) |
−0.739298 | + | 0.673378i | \(0.764843\pi\) | |||||||
\(278\) | 12.2825i | 0.736655i | ||||||||
\(279\) | 16.6074 | + | 1.78753i | 0.994257 | + | 0.107016i | ||||
\(280\) | −1.43910 | + | 0.996378i | −0.0860025 | + | 0.0595450i | ||||
\(281\) | −16.9164 | + | 5.49648i | −1.00915 | + | 0.327892i | −0.766515 | − | 0.642226i | \(-0.778011\pi\) |
−0.242633 | + | 0.970118i | \(0.578011\pi\) | |||||||
\(282\) | 14.8785 | − | 4.88340i | 0.886004 | − | 0.290802i | ||||
\(283\) | 0.0828241 | + | 0.113998i | 0.00492338 | + | 0.00677645i | 0.811472 | − | 0.584392i | \(-0.198667\pi\) |
−0.806548 | + | 0.591168i | \(0.798667\pi\) | |||||||
\(284\) | 5.96767 | + | 3.44543i | 0.354116 | + | 0.204449i | ||||
\(285\) | −2.34085 | + | 6.74779i | −0.138660 | + | 0.399705i | ||||
\(286\) | 8.77318 | + | 3.90607i | 0.518769 | + | 0.230971i | ||||
\(287\) | −4.87116 | − | 3.53910i | −0.287535 | − | 0.208907i | ||||
\(288\) | 2.41650 | − | 1.77779i | 0.142393 | − | 0.104757i | ||||
\(289\) | −3.84277 | − | 0.816806i | −0.226045 | − | 0.0480474i | ||||
\(290\) | −8.26158 | + | 7.10540i | −0.485137 | + | 0.417244i | ||||
\(291\) | 2.41552 | + | 1.74400i | 0.141600 | + | 0.102235i | ||||
\(292\) | −5.59642 | − | 6.21545i | −0.327506 | − | 0.363732i | ||||
\(293\) | −1.09860 | + | 10.4525i | −0.0641809 | + | 0.610641i | 0.914405 | + | 0.404801i | \(0.132659\pi\) |
−0.978586 | + | 0.205840i | \(0.934007\pi\) | |||||||
\(294\) | 2.26787 | − | 10.8281i | 0.132265 | − | 0.631507i | ||||
\(295\) | 3.07768 | + | 10.2602i | 0.179189 | + | 0.597371i | ||||
\(296\) | 0.550479 | − | 5.23746i | 0.0319959 | − | 0.304421i | ||||
\(297\) | −17.4117 | − | 9.84613i | −1.01033 | − | 0.571330i | ||||
\(298\) | 2.45999 | + | 2.21498i | 0.142503 | + | 0.128310i | ||||
\(299\) | −17.0244 | + | 1.78934i | −0.984547 | + | 0.103480i | ||||
\(300\) | 3.85534 | − | 7.75476i | 0.222588 | − | 0.447721i | ||||
\(301\) | 2.84554 | + | 6.39119i | 0.164014 | + | 0.368382i | ||||
\(302\) | −7.72992 | + | 10.6393i | −0.444807 | + | 0.612225i | ||||
\(303\) | −8.64535 | + | 26.8800i | −0.496663 | + | 1.54421i | ||||
\(304\) | −0.922065 | − | 1.59706i | −0.0528840 | − | 0.0915979i | ||||
\(305\) | 0.801006 | + | 9.74845i | 0.0458655 | + | 0.558195i | ||||
\(306\) | 8.10349 | + | 7.20943i | 0.463246 | + | 0.412135i | ||||
\(307\) | −5.09628 | − | 23.9761i | −0.290860 | − | 1.36839i | −0.844465 | − | 0.535611i | \(-0.820081\pi\) |
0.553605 | − | 0.832780i | \(-0.313252\pi\) | |||||||
\(308\) | −2.86588 | + | 0.931182i | −0.163299 | + | 0.0530590i | ||||
\(309\) | −0.331391 | − | 3.06508i | −0.0188522 | − | 0.174366i | ||||
\(310\) | −4.21471 | + | 11.7148i | −0.239379 | + | 0.665355i | ||||
\(311\) | − | 15.4406i | − | 0.875557i | −0.899083 | − | 0.437778i | \(-0.855765\pi\) | ||
0.899083 | − | 0.437778i | \(-0.144235\pi\) | |||||||
\(312\) | −1.76924 | − | 3.94212i | −0.100164 | − | 0.223179i | ||||
\(313\) | −3.13905 | + | 0.667225i | −0.177429 | + | 0.0377138i | −0.295770 | − | 0.955259i | \(-0.595576\pi\) |
0.118340 | + | 0.992973i | \(0.462243\pi\) | |||||||
\(314\) | −13.0378 | − | 17.9450i | −0.735765 | − | 1.01269i | ||||
\(315\) | −1.53867 | − | 5.02060i | −0.0866943 | − | 0.282879i | ||||
\(316\) | 12.6443 | − | 7.30022i | 0.711300 | − | 0.410669i | ||||
\(317\) | −20.8905 | − | 9.30107i | −1.17333 | − | 0.522400i | −0.274881 | − | 0.961478i | \(-0.588639\pi\) |
−0.898449 | + | 0.439078i | \(0.855305\pi\) | |||||||
\(318\) | −7.01677 | + | 12.2375i | −0.393481 | + | 0.686244i | ||||
\(319\) | −17.1377 | + | 7.63022i | −0.959529 | + | 0.427210i | ||||
\(320\) | 0.862815 | + | 2.06290i | 0.0482328 | + | 0.115320i | ||||
\(321\) | −2.81848 | − | 13.0683i | −0.157312 | − | 0.729400i | ||||
\(322\) | 3.59413 | − | 3.99169i | 0.200293 | − | 0.222448i | ||||
\(323\) | 4.95479 | − | 4.46132i | 0.275692 | − | 0.248234i | ||||
\(324\) | 2.88299 | + | 8.52575i | 0.160166 | + | 0.473653i | ||||
\(325\) | −9.74755 | − | 7.78287i | −0.540697 | − | 0.431716i | ||||
\(326\) | 20.5147 | + | 6.66563i | 1.13620 | + | 0.369175i | ||||
\(327\) | −0.0125971 | − | 4.22696i | −0.000696623 | − | 0.233751i | ||||
\(328\) | −5.71616 | + | 5.14686i | −0.315622 | + | 0.284188i | ||||
\(329\) | 5.25936 | + | 4.73555i | 0.289958 | + | 0.261079i | ||||
\(330\) | 10.1931 | − | 10.8805i | 0.561114 | − | 0.598950i | ||||
\(331\) | 6.40107 | − | 30.1147i | 0.351835 | − | 1.65525i | −0.345434 | − | 0.938443i | \(-0.612268\pi\) |
0.697269 | − | 0.716810i | \(-0.254398\pi\) | |||||||
\(332\) | −3.02529 | − | 6.79492i | −0.166035 | − | 0.372920i | ||||
\(333\) | 14.4711 | + | 6.33986i | 0.793010 | + | 0.347422i | ||||
\(334\) | −2.39469 | + | 5.37855i | −0.131031 | + | 0.294301i | ||||
\(335\) | 2.82591 | + | 1.33596i | 0.154396 | + | 0.0729915i | ||||
\(336\) | 1.24025 | + | 0.547770i | 0.0676610 | + | 0.0298833i | ||||
\(337\) | −11.9138 | + | 8.65590i | −0.648987 | + | 0.471517i | −0.862926 | − | 0.505330i | \(-0.831371\pi\) |
0.213939 | + | 0.976847i | \(0.431371\pi\) | |||||||
\(338\) | 6.62840 | − | 1.40891i | 0.360538 | − | 0.0766347i | ||||
\(339\) | 0.277608 | + | 0.618549i | 0.0150776 | + | 0.0335950i | ||||
\(340\) | −6.64673 | + | 4.60195i | −0.360469 | + | 0.249576i | ||||
\(341\) | −12.7445 | + | 17.2327i | −0.690153 | + | 0.933204i | ||||
\(342\) | 5.40454 | − | 1.18248i | 0.292244 | − | 0.0639413i | ||||
\(343\) | 9.96646 | − | 3.23830i | 0.538138 | − | 0.174852i | ||||
\(344\) | 8.74204 | − | 1.85818i | 0.471339 | − | 0.100186i | ||||
\(345\) | −6.03786 | + | 25.8808i | −0.325067 | + | 1.39337i | ||||
\(346\) | 9.71537 | − | 16.8275i | 0.522301 | − | 0.904652i | ||||
\(347\) | 2.72675 | − | 1.57429i | 0.146380 | − | 0.0845123i | −0.425021 | − | 0.905183i | \(-0.639733\pi\) |
0.571401 | + | 0.820671i | \(0.306400\pi\) | |||||||
\(348\) | 8.03526 | + | 2.58436i | 0.430735 | + | 0.138536i | ||||
\(349\) | 12.8792 | + | 9.35731i | 0.689410 | + | 0.500885i | 0.876466 | − | 0.481464i | \(-0.159895\pi\) |
−0.187056 | + | 0.982349i | \(0.559895\pi\) | |||||||
\(350\) | 3.90706 | − | 0.231753i | 0.208841 | − | 0.0123877i | ||||
\(351\) | 12.8792 | − | 1.47019i | 0.687440 | − | 0.0784728i | ||||
\(352\) | 0.402387 | + | 3.82845i | 0.0214473 | + | 0.204057i | ||||
\(353\) | −15.2101 | − | 13.6952i | −0.809551 | − | 0.728923i | 0.156387 | − | 0.987696i | \(-0.450015\pi\) |
−0.965938 | + | 0.258773i | \(0.916682\pi\) | |||||||
\(354\) | 5.53361 | − | 6.18265i | 0.294108 | − | 0.328604i | ||||
\(355\) | −7.39886 | − | 13.5158i | −0.392691 | − | 0.717345i | ||||
\(356\) | −3.81702 | + | 11.7476i | −0.202301 | + | 0.622620i | ||||
\(357\) | −1.00487 | + | 4.79780i | −0.0531833 | + | 0.253926i | ||||
\(358\) | 1.94335 | − | 18.4897i | 0.102709 | − | 0.977211i | ||||
\(359\) | 9.99683 | − | 9.00118i | 0.527612 | − | 0.475064i | −0.361745 | − | 0.932277i | \(-0.617819\pi\) |
0.889357 | + | 0.457213i | \(0.151152\pi\) | |||||||
\(360\) | −6.68228 | + | 0.589184i | −0.352187 | + | 0.0310527i | ||||
\(361\) | 1.63056 | + | 15.5137i | 0.0858189 | + | 0.816512i | ||||
\(362\) | 3.76156 | − | 17.6968i | 0.197703 | − | 0.930121i | ||||
\(363\) | 5.71858 | − | 3.32439i | 0.300148 | − | 0.174485i | ||||
\(364\) | 1.14784 | − | 1.57986i | 0.0601629 | − | 0.0828072i | ||||
\(365\) | 3.47144 | + | 18.3768i | 0.181703 | + | 0.961887i | ||||
\(366\) | 6.11627 | − | 4.47164i | 0.319703 | − | 0.233736i | ||||
\(367\) | −13.0817 | + | 22.6581i | −0.682857 | + | 1.18274i | 0.291248 | + | 0.956648i | \(0.405930\pi\) |
−0.974105 | + | 0.226096i | \(0.927404\pi\) | |||||||
\(368\) | −4.03328 | − | 5.55134i | −0.210249 | − | 0.289383i | ||||
\(369\) | −9.51116 | − | 21.0243i | −0.495131 | − | 1.09448i | ||||
\(370\) | −7.13645 | + | 9.36701i | −0.371006 | + | 0.486968i | ||||
\(371\) | −6.37528 | −0.330988 | ||||||||
\(372\) | 9.44376 | − | 1.95328i | 0.489636 | − | 0.101273i | ||||
\(373\) | 6.16732i | 0.319332i | 0.987171 | + | 0.159666i | \(0.0510417\pi\) | ||||
−0.987171 | + | 0.159666i | \(0.948958\pi\) | |||||||
\(374\) | −13.2366 | + | 4.30083i | −0.684448 | + | 0.222391i | ||||
\(375\) | −16.3752 | + | 10.3370i | −0.845610 | + | 0.533801i | ||||
\(376\) | 7.31431 | − | 5.31416i | 0.377207 | − | 0.274057i | ||||
\(377\) | 6.07858 | − | 10.5284i | 0.313063 | − | 0.542241i | ||||
\(378\) | −2.69454 | + | 3.04694i | −0.138592 | + | 0.156717i | ||||
\(379\) | −23.3730 | − | 10.4063i | −1.20059 | − | 0.534538i | −0.293698 | − | 0.955898i | \(-0.594886\pi\) |
−0.906893 | + | 0.421360i | \(0.861553\pi\) | |||||||
\(380\) | −0.0937476 | + | 4.12253i | −0.00480915 | + | 0.211482i | ||||
\(381\) | −25.7447 | + | 14.9662i | −1.31894 | + | 0.766741i | ||||
\(382\) | 2.36449 | − | 11.1241i | 0.120978 | − | 0.569156i | ||||
\(383\) | −1.14409 | + | 0.120249i | −0.0584603 | + | 0.00614443i | −0.133713 | − | 0.991020i | \(-0.542690\pi\) |
0.0752531 | + | 0.997164i | \(0.476024\pi\) | |||||||
\(384\) | 1.01389 | − | 1.40429i | 0.0517400 | − | 0.0716622i | ||||
\(385\) | 6.55730 | + | 1.55041i | 0.334191 | + | 0.0790160i | ||||
\(386\) | 5.27579 | + | 0.554507i | 0.268530 | + | 0.0282237i | ||||
\(387\) | −2.64364 | + | 26.6814i | −0.134384 | + | 1.35629i | ||||
\(388\) | 1.63591 | + | 0.531541i | 0.0830510 | + | 0.0269849i | ||||
\(389\) | −2.36307 | + | 22.4831i | −0.119813 | + | 1.13994i | 0.755083 | + | 0.655629i | \(0.227596\pi\) |
−0.874896 | + | 0.484311i | \(0.839070\pi\) | |||||||
\(390\) | −1.19957 | + | 9.58716i | −0.0607428 | + | 0.485465i | ||||
\(391\) | 16.6001 | − | 18.4363i | 0.839505 | − | 0.932364i | ||||
\(392\) | −0.667649 | − | 6.35226i | −0.0337214 | − | 0.320837i | ||||
\(393\) | −1.21339 | + | 11.8853i | −0.0612074 | + | 0.599532i | ||||
\(394\) | −8.00196 | − | 17.9727i | −0.403133 | − | 0.905451i | ||||
\(395\) | −32.6391 | − | 0.742224i | −1.64225 | − | 0.0373453i | ||||
\(396\) | −11.3104 | − | 2.33372i | −0.568368 | − | 0.117274i | ||||
\(397\) | −0.951465 | + | 0.549328i | −0.0477526 | + | 0.0275700i | −0.523686 | − | 0.851911i | \(-0.675444\pi\) |
0.475934 | + | 0.879481i | \(0.342110\pi\) | |||||||
\(398\) | −7.39287 | − | 4.26827i | −0.370571 | − | 0.213949i | ||||
\(399\) | 1.67857 | + | 1.85310i | 0.0840336 | + | 0.0927713i | ||||
\(400\) | 0.748142 | − | 4.94371i | 0.0374071 | − | 0.247186i | ||||
\(401\) | −4.81505 | − | 14.8192i | −0.240452 | − | 0.740035i | −0.996351 | − | 0.0853473i | \(-0.972800\pi\) |
0.755899 | − | 0.654688i | \(-0.227200\pi\) | |||||||
\(402\) | −0.260262 | − | 2.40720i | −0.0129807 | − | 0.120060i | ||||
\(403\) | 0.117540 | − | 13.8894i | 0.00585508 | − | 0.691880i | ||||
\(404\) | 16.3021i | 0.811060i | ||||||||
\(405\) | 4.39680 | − | 19.6384i | 0.218479 | − | 0.975842i | ||||
\(406\) | 0.793116 | + | 3.73132i | 0.0393617 | + | 0.185182i | ||||
\(407\) | −16.4011 | + | 11.9161i | −0.812972 | + | 0.590659i | ||||
\(408\) | 5.72830 | + | 2.52997i | 0.283593 | + | 0.125252i | ||||
\(409\) | 17.9508 | − | 10.3639i | 0.887611 | − | 0.512462i | 0.0144505 | − | 0.999896i | \(-0.495400\pi\) |
0.873160 | + | 0.487433i | \(0.162067\pi\) | |||||||
\(410\) | 16.9006 | − | 3.19258i | 0.834662 | − | 0.157670i | ||||
\(411\) | −11.3846 | + | 19.8551i | −0.561562 | + | 0.979382i | ||||
\(412\) | −0.723965 | − | 1.62605i | −0.0356672 | − | 0.0801099i | ||||
\(413\) | 3.66798 | + | 0.779652i | 0.180489 | + | 0.0383642i | ||||
\(414\) | 19.5397 | − | 6.47784i | 0.960324 | − | 0.318369i | ||||
\(415\) | −2.11409 | + | 16.4969i | −0.103777 | + | 0.809800i | ||||
\(416\) | −1.66928 | − | 1.85392i | −0.0818431 | − | 0.0908960i | ||||
\(417\) | −21.2738 | + | 0.0634000i | −1.04178 | + | 0.00310471i | ||||
\(418\) | −2.19373 | + | 6.75160i | −0.107299 | + | 0.330232i | ||||
\(419\) | −0.544837 | − | 0.177028i | −0.0266170 | − | 0.00864840i | 0.295678 | − | 0.955288i | \(-0.404454\pi\) |
−0.322295 | + | 0.946639i | \(0.604454\pi\) | |||||||
\(420\) | −1.73320 | − | 2.48744i | −0.0845714 | − | 0.121374i | ||||
\(421\) | 26.4717 | + | 29.3998i | 1.29015 | + | 1.43286i | 0.842546 | + | 0.538624i | \(0.181056\pi\) |
0.447603 | + | 0.894232i | \(0.352278\pi\) | |||||||
\(422\) | 15.6411 | − | 17.3712i | 0.761395 | − | 0.845615i | ||||
\(423\) | 8.53506 | + | 25.7451i | 0.414989 | + | 1.25177i | ||||
\(424\) | −1.69330 | + | 7.96637i | −0.0822341 | + | 0.386881i | ||||
\(425\) | 18.0455 | − | 1.07039i | 0.875334 | − | 0.0519216i | ||||
\(426\) | −5.93684 | + | 10.3540i | −0.287641 | + | 0.501655i | ||||
\(427\) | 3.12813 | + | 1.39273i | 0.151381 | + | 0.0673991i | ||||
\(428\) | −3.85923 | − | 6.68438i | −0.186543 | − | 0.323102i | ||||
\(429\) | −6.72020 | + | 15.2157i | −0.324454 | + | 0.734620i | ||||
\(430\) | −18.8611 | − | 6.60606i | −0.909562 | − | 0.318572i | ||||
\(431\) | −5.17671 | − | 24.3545i | −0.249353 | − | 1.17312i | −0.907443 | − | 0.420175i | \(-0.861969\pi\) |
0.658090 | − | 0.752940i | \(-0.271365\pi\) | |||||||
\(432\) | 3.09168 | + | 4.17630i | 0.148749 | + | 0.200932i | ||||
\(433\) | 0.0670596 | 0.00322268 | 0.00161134 | − | 0.999999i | \(-0.499487\pi\) | ||||
0.00161134 | + | 0.999999i | \(0.499487\pi\) | |||||||
\(434\) | 2.88881 | + | 3.26346i | 0.138667 | + | 0.156651i | ||||
\(435\) | −12.3495 | − | 14.2727i | −0.592114 | − | 0.684325i | ||||
\(436\) | −0.754139 | − | 2.32100i | −0.0361167 | − | 0.111156i | ||||
\(437\) | −2.63094 | − | 12.3776i | −0.125855 | − | 0.592100i | ||||
\(438\) | 10.7365 | − | 9.72532i | 0.513012 | − | 0.464694i | ||||
\(439\) | −4.46364 | + | 7.73125i | −0.213038 | + | 0.368992i | −0.952664 | − | 0.304026i | \(-0.901669\pi\) |
0.739626 | + | 0.673018i | \(0.235002\pi\) | |||||||
\(440\) | 3.67899 | − | 7.78202i | 0.175389 | − | 0.370993i | ||||
\(441\) | 18.7664 | + | 3.87216i | 0.893639 | + | 0.184389i | ||||
\(442\) | 5.30148 | − | 7.29686i | 0.252166 | − | 0.347076i | ||||
\(443\) | 7.40139 | − | 3.29531i | 0.351651 | − | 0.156565i | −0.223307 | − | 0.974748i | \(-0.571685\pi\) |
0.574958 | + | 0.818183i | \(0.305019\pi\) | |||||||
\(444\) | 9.07434 | + | 0.926418i | 0.430649 | + | 0.0439659i | ||||
\(445\) | 20.9407 | − | 18.0101i | 0.992683 | − | 0.853760i | ||||
\(446\) | 8.87656 | − | 9.85842i | 0.420317 | − | 0.466810i | ||||
\(447\) | −3.82374 | + | 4.27223i | −0.180857 | + | 0.202070i | ||||
\(448\) | 0.778498 | + | 0.0818234i | 0.0367806 | + | 0.00386579i | ||||
\(449\) | 3.25657 | − | 10.0227i | 0.153687 | − | 0.473000i | −0.844338 | − | 0.535810i | \(-0.820006\pi\) |
0.998025 | + | 0.0628102i | \(0.0200063\pi\) | |||||||
\(450\) | 13.4515 | + | 6.63759i | 0.634109 | + | 0.312899i | ||||
\(451\) | 29.4479 | + | 3.09510i | 1.38665 | + | 0.145743i | ||||
\(452\) | 0.261923 | + | 0.290895i | 0.0123198 | + | 0.0136825i | ||||
\(453\) | −18.4677 | − | 13.3336i | −0.867687 | − | 0.626469i | ||||
\(454\) | 1.79128 | + | 17.0429i | 0.0840690 | + | 0.799863i | ||||
\(455\) | −4.02846 | + | 1.68492i | −0.188857 | + | 0.0789902i | ||||
\(456\) | 2.76142 | − | 1.60530i | 0.129315 | − | 0.0751751i | ||||
\(457\) | −2.53622 | − | 1.84267i | −0.118639 | − | 0.0861964i | 0.526883 | − | 0.849938i | \(-0.323360\pi\) |
−0.645523 | + | 0.763741i | \(0.723360\pi\) | |||||||
\(458\) | 3.98271 | − | 8.94531i | 0.186100 | − | 0.417987i | ||||
\(459\) | −12.4452 | + | 14.0728i | −0.580893 | + | 0.656863i | ||||
\(460\) | 1.25650 | + | 15.2920i | 0.0585848 | + | 0.712992i | ||||
\(461\) | 9.76449 | − | 7.09432i | 0.454778 | − | 0.330415i | −0.336702 | − | 0.941611i | \(-0.609311\pi\) |
0.791479 | + | 0.611196i | \(0.209311\pi\) | |||||||
\(462\) | −1.62764 | − | 4.95903i | −0.0757247 | − | 0.230715i | ||||
\(463\) | −9.84759 | − | 30.3078i | −0.457656 | − | 1.40852i | −0.867988 | − | 0.496585i | \(-0.834587\pi\) |
0.410331 | − | 0.911936i | \(-0.365413\pi\) | |||||||
\(464\) | 4.87320 | 0.226233 | ||||||||
\(465\) | −20.3123 | − | 7.23959i | −0.941959 | − | 0.335728i | ||||
\(466\) | −2.25856 | −0.104626 | ||||||||
\(467\) | 8.17212 | + | 25.1512i | 0.378161 | + | 1.16386i | 0.941321 | + | 0.337512i | \(0.109585\pi\) |
−0.563161 | + | 0.826347i | \(0.690415\pi\) | |||||||
\(468\) | 6.81879 | − | 3.08475i | 0.315199 | − | 0.142593i | ||||
\(469\) | 0.885270 | − | 0.643186i | 0.0408780 | − | 0.0296996i | ||||
\(470\) | −20.1484 | + | 1.65554i | −0.929375 | + | 0.0763645i | ||||
\(471\) | 31.0142 | − | 22.6747i | 1.42906 | − | 1.04479i | ||||
\(472\) | 1.94846 | − | 4.37632i | 0.0896853 | − | 0.201436i | ||||
\(473\) | −27.8340 | − | 20.2226i | −1.27981 | − | 0.929835i | ||||
\(474\) | 12.7096 | + | 21.8629i | 0.583769 | + | 1.00420i | ||||
\(475\) | 4.96855 | − | 7.76749i | 0.227973 | − | 0.356397i | ||||
\(476\) | 0.295827 | + | 2.81461i | 0.0135592 | + | 0.129007i | ||||
\(477\) | −21.2321 | − | 12.0902i | −0.972149 | − | 0.553571i | ||||
\(478\) | −4.10267 | − | 4.55647i | −0.187652 | − | 0.208408i | ||||
\(479\) | −29.3408 | − | 3.08384i | −1.34062 | − | 0.140904i | −0.593090 | − | 0.805136i | \(-0.702092\pi\) |
−0.747526 | + | 0.664232i | \(0.768759\pi\) | |||||||
\(480\) | −3.56858 | + | 1.50508i | −0.162882 | + | 0.0686972i | ||||
\(481\) | 4.05981 | − | 12.4948i | 0.185112 | − | 0.569715i | ||||
\(482\) | −20.3573 | − | 2.13964i | −0.927252 | − | 0.0974581i | ||||
\(483\) | 6.93233 | + | 6.20459i | 0.315432 | + | 0.282318i | ||||
\(484\) | 2.55539 | − | 2.83805i | 0.116154 | − | 0.129002i | ||||
\(485\) | −2.50801 | − | 2.91610i | −0.113883 | − | 0.132413i | ||||
\(486\) | −14.7521 | + | 5.03747i | −0.669168 | + | 0.228504i | ||||
\(487\) | −20.8142 | + | 9.26710i | −0.943183 | + | 0.419932i | −0.819943 | − | 0.572445i | \(-0.805995\pi\) |
−0.123240 | + | 0.992377i | \(0.539328\pi\) | |||||||
\(488\) | 2.57117 | − | 3.53891i | 0.116391 | − | 0.160199i | ||||
\(489\) | −11.4393 | + | 35.5668i | −0.517302 | + | 1.60838i | ||||
\(490\) | −6.10427 | + | 12.9121i | −0.275763 | + | 0.583309i | ||||
\(491\) | 4.32920 | − | 7.49839i | 0.195374 | − | 0.338398i | −0.751649 | − | 0.659563i | \(-0.770741\pi\) |
0.947023 | + | 0.321166i | \(0.104075\pi\) | |||||||
\(492\) | −8.94409 | − | 9.87408i | −0.403231 | − | 0.445158i | ||||
\(493\) | 3.66314 | + | 17.2337i | 0.164980 | + | 0.776168i | ||||
\(494\) | −1.42165 | − | 4.37538i | −0.0639629 | − | 0.196858i | ||||
\(495\) | 18.8980 | + | 17.5988i | 0.849404 | + | 0.791007i | ||||
\(496\) | 4.84521 | − | 2.74298i | 0.217556 | − | 0.123163i | ||||
\(497\) | −5.39408 | −0.241957 | ||||||||
\(498\) | 11.7535 | − | 5.27501i | 0.526686 | − | 0.236379i | ||||
\(499\) | −1.51322 | − | 7.11912i | −0.0677408 | − | 0.318696i | 0.931210 | − | 0.364482i | \(-0.118754\pi\) |
−0.998951 | + | 0.0457865i | \(0.985421\pi\) | |||||||
\(500\) | −7.17284 | + | 8.57615i | −0.320779 | + | 0.383537i | ||||
\(501\) | −9.32825 | − | 4.11994i | −0.416755 | − | 0.184065i | ||||
\(502\) | −0.976362 | − | 1.69111i | −0.0435772 | − | 0.0754779i | ||||
\(503\) | 3.19290 | + | 1.42157i | 0.142364 | + | 0.0633847i | 0.476682 | − | 0.879076i | \(-0.341839\pi\) |
−0.334318 | + | 0.942460i | \(0.608506\pi\) | |||||||
\(504\) | −0.942360 | + | 2.15099i | −0.0419760 | + | 0.0958126i | ||||
\(505\) | 18.9393 | − | 31.1464i | 0.842787 | − | 1.38599i | ||||
\(506\) | −5.49197 | + | 25.8377i | −0.244148 | + | 1.14862i | ||||
\(507\) | 2.47451 | + | 11.4734i | 0.109897 | + | 0.509552i | ||||
\(508\) | −11.5042 | + | 12.7767i | −0.510418 | + | 0.566876i | ||||
\(509\) | −4.73025 | − | 5.25347i | −0.209665 | − | 0.232856i | 0.629136 | − | 0.777296i | \(-0.283409\pi\) |
−0.838800 | + | 0.544440i | \(0.816742\pi\) | |||||||
\(510\) | −8.00508 | − | 11.4887i | −0.354471 | − | 0.508726i | ||||
\(511\) | 6.22657 | + | 2.02313i | 0.275447 | + | 0.0894982i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 2.07601 | + | 9.35479i | 0.0916580 | + | 0.413024i | ||||
\(514\) | 12.7457 | + | 14.1555i | 0.562187 | + | 0.624372i | ||||
\(515\) | −0.505911 | + | 3.94777i | −0.0222931 | + | 0.173960i | ||||
\(516\) | 3.26357 | + | 15.1320i | 0.143671 | + | 0.666149i | ||||
\(517\) | −34.0431 | − | 7.23609i | −1.49722 | − | 0.318243i | ||||
\(518\) | 1.67673 | + | 3.76599i | 0.0736712 | + | 0.165468i | ||||
\(519\) | 29.1961 | + | 16.7406i | 1.28157 | + | 0.734830i | ||||
\(520\) | 1.03545 | + | 5.48137i | 0.0454074 | + | 0.240374i | ||||
\(521\) | −4.92342 | + | 2.84254i | −0.215699 | + | 0.124534i | −0.603957 | − | 0.797017i | \(-0.706410\pi\) |
0.388258 | + | 0.921551i | \(0.373077\pi\) | |||||||
\(522\) | −4.43475 | + | 13.9308i | −0.194104 | + | 0.609732i | ||||
\(523\) | −25.1992 | + | 18.3083i | −1.10189 | + | 0.800567i | −0.981367 | − | 0.192144i | \(-0.938456\pi\) |
−0.120519 | + | 0.992711i | \(0.538456\pi\) | |||||||
\(524\) | 1.43410 | + | 6.74689i | 0.0626488 | + | 0.294739i | ||||
\(525\) | 0.421574 | + | 6.76601i | 0.0183990 | + | 0.295293i | ||||
\(526\) | 0.893636i | 0.0389644i | ||||||||
\(527\) | 13.3425 | + | 15.0729i | 0.581207 | + | 0.656585i | ||||
\(528\) | −6.62897 | + | 0.716713i | −0.288489 | + | 0.0311909i | ||||
\(529\) | −7.44259 | − | 22.9059i | −0.323591 | − | 0.995910i | ||||
\(530\) | 12.4903 | − | 13.2531i | 0.542543 | − | 0.575678i | ||||
\(531\) | 10.7372 | + | 9.55254i | 0.465954 | + | 0.414545i | ||||
\(532\) | 1.25016 | + | 0.721780i | 0.0542013 | + | 0.0312931i | ||||
\(533\) | −16.6180 | + | 9.59443i | −0.719807 | + | 0.415581i | ||||
\(534\) | −20.3670 | − | 6.55060i | −0.881366 | − | 0.283472i | ||||
\(535\) | −0.392373 | + | 17.2545i | −0.0169638 | + | 0.745979i | ||||
\(536\) | −0.568575 | − | 1.27704i | −0.0245587 | − | 0.0551598i | ||||
\(537\) | 32.0350 | + | 3.27052i | 1.38241 | + | 0.141133i | ||||
\(538\) | 2.22357 | + | 21.1558i | 0.0958649 | + | 0.912093i | ||||
\(539\) | −16.4526 | + | 18.2724i | −0.708662 | + | 0.787049i | ||||
\(540\) | −1.05499 | − | 11.5710i | −0.0453993 | − | 0.497935i | ||||
\(541\) | −3.77416 | + | 35.9087i | −0.162264 | + | 1.54384i | 0.545937 | + | 0.837826i | \(0.316174\pi\) |
−0.708201 | + | 0.706011i | \(0.750493\pi\) | |||||||
\(542\) | −6.99614 | − | 2.27318i | −0.300510 | − | 0.0976415i | ||||
\(543\) | 30.6710 | + | 6.42384i | 1.31622 | + | 0.275673i | ||||
\(544\) | 3.59563 | + | 0.377916i | 0.154161 | + | 0.0162030i | ||||
\(545\) | −1.25563 | + | 5.31058i | −0.0537854 | + | 0.227480i | ||||
\(546\) | 2.74231 | + | 1.97995i | 0.117360 | + | 0.0847339i | ||||
\(547\) | −22.0406 | + | 2.31656i | −0.942387 | + | 0.0990489i | −0.563246 | − | 0.826290i | \(-0.690447\pi\) |
−0.379142 | + | 0.925339i | \(0.623781\pi\) | |||||||
\(548\) | −2.74736 | + | 12.9253i | −0.117362 | + | 0.552143i | ||||
\(549\) | 7.77665 | + | 10.5706i | 0.331899 | + | 0.451141i | ||||
\(550\) | −16.0699 | + | 10.5940i | −0.685223 | + | 0.451729i | ||||
\(551\) | 8.20987 | + | 3.65527i | 0.349752 | + | 0.155720i | ||||
\(552\) | 9.59434 | − | 7.01447i | 0.408362 | − | 0.298556i | ||||
\(553\) | −5.71451 | + | 9.89782i | −0.243006 | + | 0.420898i | ||||
\(554\) | −11.0940 | + | 8.06025i | −0.471338 | + | 0.342447i | ||||
\(555\) | −16.2609 | − | 12.3123i | −0.690237 | − | 0.522627i | ||||
\(556\) | −11.6813 | + | 3.79550i | −0.495400 | + | 0.160965i | ||||
\(557\) | 44.4864i | 1.88495i | 0.334277 | + | 0.942475i | \(0.391508\pi\) | ||||
−0.334277 | + | 0.942475i | \(0.608492\pi\) | |||||||
\(558\) | 3.43192 | + | 16.3469i | 0.145285 | + | 0.692020i | ||||
\(559\) | 22.2960 | 0.943019 | ||||||||
\(560\) | −1.39232 | − | 1.06077i | −0.0588362 | − | 0.0448255i | ||||
\(561\) | −7.51755 | − | 22.9041i | −0.317391 | − | 0.967014i | ||||
\(562\) | −10.4549 | − | 14.3900i | −0.441014 | − | 0.607004i | ||||
\(563\) | −7.38343 | + | 12.7885i | −0.311174 | + | 0.538970i | −0.978617 | − | 0.205692i | \(-0.934056\pi\) |
0.667443 | + | 0.744661i | \(0.267389\pi\) | |||||||
\(564\) | 9.24211 | + | 12.6413i | 0.389163 | + | 0.532294i | ||||
\(565\) | −0.162470 | − | 0.860069i | −0.00683516 | − | 0.0361834i | ||||
\(566\) | −0.0828241 | + | 0.113998i | −0.00348136 | + | 0.00479168i | ||||
\(567\) | −5.29133 | − | 4.65133i | −0.222215 | − | 0.195338i | ||||
\(568\) | −1.43269 | + | 6.74029i | −0.0601144 | + | 0.282816i | ||||
\(569\) | −0.852745 | − | 8.11333i | −0.0357489 | − | 0.340128i | −0.997748 | − | 0.0670754i | \(-0.978633\pi\) |
0.961999 | − | 0.273053i | \(-0.0880335\pi\) | |||||||
\(570\) | −7.14089 | − | 0.141095i | −0.299099 | − | 0.00590983i | ||||
\(571\) | −7.09575 | + | 6.38904i | −0.296948 | + | 0.267373i | −0.804114 | − | 0.594475i | \(-0.797360\pi\) |
0.507166 | + | 0.861848i | \(0.330693\pi\) | |||||||
\(572\) | −1.00383 | + | 9.55083i | −0.0419724 | + | 0.399340i | ||||
\(573\) | 19.2796 | + | 4.03798i | 0.805415 | + | 0.168689i | ||||
\(574\) | 1.86062 | − | 5.72639i | 0.0776606 | − | 0.239015i | ||||
\(575\) | 15.3651 | − | 30.6762i | 0.640770 | − | 1.27929i | ||||
\(576\) | 2.43752 | + | 1.74886i | 0.101563 | + | 0.0728691i | ||||
\(577\) | 6.76488 | + | 6.09113i | 0.281626 | + | 0.253577i | 0.797822 | − | 0.602894i | \(-0.205986\pi\) |
−0.516196 | + | 0.856471i | \(0.672652\pi\) | |||||||
\(578\) | −0.410653 | − | 3.90710i | −0.0170809 | − | 0.162514i | ||||
\(579\) | −0.933198 | + | 9.14075i | −0.0387824 | + | 0.379877i | ||||
\(580\) | −9.31061 | − | 5.66154i | −0.386602 | − | 0.235083i | ||||
\(581\) | 4.71037 | + | 3.42228i | 0.195419 | + | 0.141980i | ||||
\(582\) | −0.912207 | + | 2.83622i | −0.0378122 | + | 0.117565i | ||||
\(583\) | 27.1516 | − | 15.6760i | 1.12451 | − | 0.649233i | ||||
\(584\) | 4.18186 | − | 7.24319i | 0.173046 | − | 0.299725i | ||||
\(585\) | −16.6116 | − | 2.02823i | −0.686804 | − | 0.0838568i | ||||
\(586\) | −10.2804 | + | 2.18516i | −0.424679 | + | 0.0902683i | ||||
\(587\) | 40.8665 | − | 13.2783i | 1.68674 | − | 0.548055i | 0.700539 | − | 0.713614i | \(-0.252943\pi\) |
0.986200 | + | 0.165559i | \(0.0529429\pi\) | |||||||
\(588\) | 10.9989 | − | 1.18919i | 0.453588 | − | 0.0490412i | ||||
\(589\) | 10.2201 | − | 0.986815i | 0.421114 | − | 0.0406610i | ||||
\(590\) | −8.80696 | + | 6.09761i | −0.362577 | + | 0.251035i | ||||
\(591\) | 31.0882 | − | 13.9525i | 1.27880 | − | 0.573929i | ||||
\(592\) | 5.15122 | − | 1.09493i | 0.211714 | − | 0.0450012i | ||||
\(593\) | −2.35043 | + | 1.70768i | −0.0965204 | + | 0.0701262i | −0.634999 | − | 0.772513i | \(-0.718999\pi\) |
0.538478 | + | 0.842639i | \(0.318999\pi\) | |||||||
\(594\) | 3.98373 | − | 19.6021i | 0.163454 | − | 0.804284i | ||||
\(595\) | 2.70473 | − | 5.72120i | 0.110883 | − | 0.234546i | ||||
\(596\) | −1.34639 | + | 3.02405i | −0.0551505 | + | 0.123870i | ||||
\(597\) | 7.35467 | − | 12.8268i | 0.301007 | − | 0.524966i | ||||
\(598\) | −6.96259 | − | 15.6382i | −0.284722 | − | 0.639495i | ||||
\(599\) | 4.27371 | − | 20.1062i | 0.174619 | − | 0.821519i | −0.800412 | − | 0.599451i | \(-0.795386\pi\) |
0.975031 | − | 0.222068i | \(-0.0712809\pi\) | |||||||
\(600\) | 8.56658 | + | 1.27030i | 0.349729 | + | 0.0518596i | ||||
\(601\) | −14.7161 | − | 13.2504i | −0.600280 | − | 0.540495i | 0.311989 | − | 0.950086i | \(-0.399005\pi\) |
−0.912269 | + | 0.409591i | \(0.865671\pi\) | |||||||
\(602\) | −5.19906 | + | 4.68126i | −0.211898 | + | 0.190794i | ||||
\(603\) | 4.16803 | − | 0.463211i | 0.169735 | − | 0.0188634i | ||||
\(604\) | −12.5073 | − | 4.06386i | −0.508914 | − | 0.165356i | ||||
\(605\) | −8.17943 | + | 2.45353i | −0.332541 | + | 0.0997501i | ||||
\(606\) | −28.2359 | + | 0.0841484i | −1.14701 | + | 0.00341830i | ||||
\(607\) | −9.79427 | + | 8.81880i | −0.397537 | + | 0.357944i | −0.843520 | − | 0.537097i | \(-0.819521\pi\) |
0.445983 | + | 0.895041i | \(0.352854\pi\) | |||||||
\(608\) | 1.23396 | − | 1.37046i | 0.0500438 | − | 0.0555793i | ||||
\(609\) | −6.45871 | + | 1.39297i | −0.261720 | + | 0.0564460i | ||||
\(610\) | −9.02380 | + | 3.77424i | −0.365363 | + | 0.152814i | ||||
\(611\) | 20.6046 | − | 9.17375i | 0.833572 | − | 0.371130i | ||||
\(612\) | −4.35245 | + | 9.93471i | −0.175938 | + | 0.401587i | ||||
\(613\) | −10.3904 | − | 4.62612i | −0.419665 | − | 0.186847i | 0.186029 | − | 0.982544i | \(-0.440438\pi\) |
−0.605695 | + | 0.795697i | \(0.707105\pi\) | |||||||
\(614\) | 21.2278 | − | 12.2559i | 0.856685 | − | 0.494607i | ||||
\(615\) | 5.61692 | + | 29.2561i | 0.226496 | + | 1.17972i | ||||
\(616\) | −1.77121 | − | 2.43787i | −0.0713642 | − | 0.0982244i | ||||
\(617\) | −10.1305 | + | 2.15330i | −0.407837 | + | 0.0866884i | −0.407262 | − | 0.913311i | \(-0.633516\pi\) |
−0.000575013 | 1.00000i | \(0.500183\pi\) | ||||||||
\(618\) | 2.81266 | − | 1.26233i | 0.113142 | − | 0.0507785i | ||||
\(619\) | 29.4042i | 1.18185i | 0.806725 | + | 0.590927i | \(0.201238\pi\) | ||||
−0.806725 | + | 0.590927i | \(0.798762\pi\) | |||||||
\(620\) | −12.4438 | − | 0.388358i | −0.499757 | − | 0.0155968i | ||||
\(621\) | 11.3208 | + | 33.8102i | 0.454287 | + | 1.35676i | ||||
\(622\) | 14.6849 | − | 4.77141i | 0.588810 | − | 0.191316i | ||||
\(623\) | −2.01031 | − | 9.45778i | −0.0805415 | − | 0.378918i | ||||
\(624\) | 3.20245 | − | 2.90083i | 0.128201 | − | 0.116126i | ||||
\(625\) | 23.6677 | − | 8.05218i | 0.946710 | − | 0.322087i | ||||
\(626\) | −1.60459 | − | 2.77923i | −0.0641322 | − | 0.111080i | ||||
\(627\) | −11.7054 | − | 3.76478i | −0.467468 | − | 0.150351i | ||||
\(628\) | 13.0378 | − | 17.9450i | 0.520265 | − | 0.716083i | ||||
\(629\) | 7.74426 | + | 17.3939i | 0.308784 | + | 0.693540i | ||||
\(630\) | 4.29940 | − | 3.01481i | 0.171292 | − | 0.120113i | ||||
\(631\) | −14.7230 | + | 1.54745i | −0.586114 | + | 0.0616031i | −0.392944 | − | 0.919562i | \(-0.628543\pi\) |
−0.193170 | + | 0.981165i | \(0.561877\pi\) | |||||||
\(632\) | 10.8502 | + | 9.76960i | 0.431599 | + | 0.388614i | ||||
\(633\) | 30.1683 | + | 27.0013i | 1.19908 | + | 1.07321i | ||||
\(634\) | 2.39031 | − | 22.7423i | 0.0949313 | − | 0.903211i | ||||
\(635\) | 36.8233 | − | 11.0456i | 1.46129 | − | 0.438333i | ||||
\(636\) | −13.8068 | − | 2.89175i | −0.547477 | − | 0.114666i | ||||
\(637\) | 1.66558 | − | 15.8470i | 0.0659928 | − | 0.627879i | ||||
\(638\) | −12.5526 | − | 13.9411i | −0.496963 | − | 0.551933i | ||||
\(639\) | −17.9643 | − | 10.2294i | −0.710656 | − | 0.404669i | ||||
\(640\) | −1.69531 | + | 1.45806i | −0.0670130 | + | 0.0576347i | ||||
\(641\) | 38.6514 | + | 8.21562i | 1.52664 | + | 0.324497i | 0.893330 | − | 0.449401i | \(-0.148362\pi\) |
0.633310 | + | 0.773898i | \(0.281696\pi\) | |||||||
\(642\) | 11.5577 | − | 6.71886i | 0.456147 | − | 0.265172i | ||||
\(643\) | 21.5000 | + | 15.6207i | 0.847877 | + | 0.616019i | 0.924560 | − | 0.381037i | \(-0.124433\pi\) |
−0.0766827 | + | 0.997056i | \(0.524433\pi\) | |||||||
\(644\) | 4.90697 | + | 2.18472i | 0.193362 | + | 0.0860902i | ||||
\(645\) | 11.3446 | − | 32.7023i | 0.446694 | − | 1.28765i | ||||
\(646\) | 5.77408 | + | 3.33367i | 0.227178 | + | 0.131161i | ||||
\(647\) | −6.34056 | − | 8.72703i | −0.249273 | − | 0.343095i | 0.665983 | − | 0.745966i | \(-0.268012\pi\) |
−0.915256 | + | 0.402872i | \(0.868012\pi\) | |||||||
\(648\) | −7.21758 | + | 5.37649i | −0.283533 | + | 0.211208i | ||||
\(649\) | −17.5386 | + | 5.69863i | −0.688449 | + | 0.223691i | ||||
\(650\) | 4.38979 | − | 11.6755i | 0.172182 | − | 0.457951i | ||||
\(651\) | −5.63755 | + | 5.02038i | −0.220953 | + | 0.196764i | ||||
\(652\) | 21.5704i | 0.844764i | ||||||||
\(653\) | −10.1638 | − | 31.2810i | −0.397740 | − | 1.22412i | −0.926807 | − | 0.375539i | \(-0.877458\pi\) |
0.529066 | − | 0.848581i | \(-0.322542\pi\) | |||||||
\(654\) | 4.01618 | − | 1.31818i | 0.157045 | − | 0.0515450i | ||||
\(655\) | 5.09839 | − | 14.5565i | 0.199211 | − | 0.568770i | ||||
\(656\) | −6.66134 | − | 3.84593i | −0.260082 | − | 0.150158i | ||||
\(657\) | 16.9001 | + | 18.5460i | 0.659335 | + | 0.723546i | ||||
\(658\) | −2.87854 | + | 6.46531i | −0.112217 | + | 0.252044i | ||||
\(659\) | 15.0703 | − | 20.7425i | 0.587055 | − | 0.808012i | −0.407391 | − | 0.913254i | \(-0.633562\pi\) |
0.994447 | + | 0.105241i | \(0.0335615\pi\) | |||||||
\(660\) | 13.4978 | + | 6.33201i | 0.525401 | + | 0.246473i | ||||
\(661\) | −34.6032 | − | 7.35513i | −1.34591 | − | 0.286081i | −0.522067 | − | 0.852904i | \(-0.674839\pi\) |
−0.823840 | + | 0.566823i | \(0.808172\pi\) | |||||||
\(662\) | 30.6188 | − | 3.21817i | 1.19003 | − | 0.125078i | ||||
\(663\) | 12.6658 | + | 9.14473i | 0.491901 | + | 0.355152i | ||||
\(664\) | 5.52749 | − | 4.97697i | 0.214508 | − | 0.193144i | ||||
\(665\) | −1.54998 | − | 2.83141i | −0.0601056 | − | 0.109797i | ||||
\(666\) | −1.55776 | + | 15.7219i | −0.0603618 | + | 0.609212i | ||||
\(667\) | 31.8025 | + | 10.3332i | 1.23140 | + | 0.400105i | ||||
\(668\) | −5.85531 | − | 0.615417i | −0.226549 | − | 0.0238112i | ||||
\(669\) | 17.1210 | + | 15.3237i | 0.661937 | + | 0.592449i | ||||
\(670\) | −0.397323 | + | 3.10043i | −0.0153499 | + | 0.119780i | ||||
\(671\) | −16.7469 | + | 1.76017i | −0.646508 | + | 0.0679507i | ||||
\(672\) | −0.137703 | + | 1.34881i | −0.00531202 | + | 0.0520317i | ||||
\(673\) | −11.7929 | + | 5.25052i | −0.454582 | + | 0.202393i | −0.621238 | − | 0.783622i | \(-0.713370\pi\) |
0.166656 | + | 0.986015i | \(0.446703\pi\) | |||||||
\(674\) | −11.9138 | − | 8.65590i | −0.458903 | − | 0.333413i | ||||
\(675\) | −11.4272 | + | 23.3328i | −0.439832 | + | 0.898080i | ||||
\(676\) | 3.38824 | + | 5.86861i | 0.130317 | + | 0.225716i | ||||
\(677\) | −13.9447 | − | 8.05096i | −0.535937 | − | 0.309424i | 0.207494 | − | 0.978236i | \(-0.433469\pi\) |
−0.743431 | + | 0.668813i | \(0.766803\pi\) | |||||||
\(678\) | −0.502490 | + | 0.455163i | −0.0192980 | + | 0.0174804i | ||||
\(679\) | −1.31705 | + | 0.279947i | −0.0505437 | + | 0.0107434i | ||||
\(680\) | −6.43066 | − | 4.89933i | −0.246605 | − | 0.187881i | ||||
\(681\) | −29.5098 | + | 3.19055i | −1.13082 | + | 0.122262i | ||||
\(682\) | −20.3275 | − | 6.79553i | −0.778382 | − | 0.260214i | ||||
\(683\) | 9.93673 | 0.380218 | 0.190109 | − | 0.981763i | \(-0.439116\pi\) | ||||
0.190109 | + | 0.981763i | \(0.439116\pi\) | |||||||
\(684\) | 2.79470 | + | 4.77462i | 0.106858 | + | 0.182562i | ||||
\(685\) | 20.2653 | − | 21.5030i | 0.774297 | − | 0.821587i | ||||
\(686\) | 6.15961 | + | 8.47797i | 0.235175 | + | 0.323691i | ||||
\(687\) | 15.5142 | + | 6.85205i | 0.591904 | + | 0.261422i | ||||
\(688\) | 4.46867 | + | 7.73997i | 0.170367 | + | 0.295083i | ||||
\(689\) | −8.26394 | + | 18.5611i | −0.314831 | + | 0.707122i | ||||
\(690\) | −26.4799 | + | 2.25525i | −1.00807 | + | 0.0858561i | ||||
\(691\) | −45.3059 | + | 20.1715i | −1.72352 | + | 0.767359i | −0.726759 | + | 0.686893i | \(0.758974\pi\) |
−0.996757 | + | 0.0804657i | \(0.974359\pi\) | |||||||
\(692\) | 19.0061 | + | 4.03988i | 0.722504 | + | 0.153573i | ||||
\(693\) | 8.58085 | − | 2.84474i | 0.325959 | − | 0.108063i | ||||
\(694\) | 2.33985 | + | 2.10681i | 0.0888195 | + | 0.0799734i | ||||
\(695\) | 26.7276 | + | 6.31946i | 1.01383 | + | 0.239711i | ||||
\(696\) | 0.0251546 | + | 8.44060i | 0.000953482 | + | 0.319940i | ||||
\(697\) | 8.59358 | − | 26.4483i | 0.325505 | − | 1.00180i | ||||
\(698\) | −4.91943 | + | 15.1404i | −0.186203 | + | 0.573074i | ||||
\(699\) | −0.0116583 | − | 3.91192i | −0.000440956 | − | 0.147962i | ||||
\(700\) | 1.42776 | + | 3.64422i | 0.0539642 | + | 0.137739i | ||||
\(701\) | 11.6824 | + | 10.5189i | 0.441239 | + | 0.397293i | 0.859584 | − | 0.510995i | \(-0.170723\pi\) |
−0.418345 | + | 0.908288i | \(0.637390\pi\) | |||||||
\(702\) | 5.37812 | + | 11.7945i | 0.202984 | + | 0.445155i | ||||
\(703\) | 9.49952 | + | 2.01919i | 0.358281 | + | 0.0761550i | ||||
\(704\) | −3.51673 | + | 1.56575i | −0.132542 | + | 0.0590114i | ||||
\(705\) | −2.97147 | − | 34.8893i | −0.111912 | − | 1.31401i | ||||
\(706\) | 8.32475 | − | 18.6977i | 0.313306 | − | 0.703697i | ||||
\(707\) | −6.38053 | − | 11.0514i | −0.239964 | − | 0.415631i | ||||
\(708\) | 7.59003 | + | 3.35223i | 0.285251 | + | 0.125985i | ||||
\(709\) | −14.5758 | − | 20.0618i | −0.547404 | − | 0.753437i | 0.442253 | − | 0.896890i | \(-0.354179\pi\) |
−0.989657 | + | 0.143453i | \(0.954179\pi\) | |||||||
\(710\) | 10.5679 | − | 11.2134i | 0.396607 | − | 0.420830i | ||||
\(711\) | −37.8018 | + | 22.1264i | −1.41768 | + | 0.829803i | ||||
\(712\) | −12.3521 | −0.462915 | ||||||||
\(713\) | 37.4361 | − | 7.62676i | 1.40199 | − | 0.285624i | ||||
\(714\) | −4.87350 | + | 0.526914i | −0.182386 | + | 0.0197193i | ||||
\(715\) | 13.0138 | − | 17.0813i | 0.486687 | − | 0.638806i | ||||
\(716\) | 18.1853 | − | 3.86540i | 0.679615 | − | 0.144457i | ||||
\(717\) | 7.87083 | − | 7.12952i | 0.293942 | − | 0.266257i | ||||
\(718\) | 11.6498 | + | 6.72603i | 0.434768 | + | 0.251013i | ||||
\(719\) | −1.59815 | − | 2.76807i | −0.0596008 | − | 0.103232i | 0.834685 | − | 0.550727i | \(-0.185649\pi\) |
−0.894286 | + | 0.447495i | \(0.852316\pi\) | |||||||
\(720\) | −2.62529 | − | 6.17316i | −0.0978386 | − | 0.230060i | ||||
\(721\) | 1.12721 | + | 0.818967i | 0.0419795 | + | 0.0304999i | ||||
\(722\) | −14.2506 | + | 6.34476i | −0.530351 | + | 0.236128i | ||||
\(723\) | 3.60087 | − | 35.2708i | 0.133918 | − | 1.31174i | ||||
\(724\) | 17.9930 | − | 1.89114i | 0.668705 | − | 0.0702837i | ||||
\(725\) | 11.2112 | + | 21.6336i | 0.416373 | + | 0.803451i | ||||
\(726\) | 4.92882 | + | 4.41140i | 0.182926 | + | 0.163723i | ||||
\(727\) | −23.7674 | − | 2.49805i | −0.881484 | − | 0.0926477i | −0.347039 | − | 0.937851i | \(-0.612813\pi\) |
−0.534445 | + | 0.845203i | \(0.679479\pi\) | |||||||
\(728\) | 1.85724 | + | 0.603453i | 0.0688338 | + | 0.0223655i | ||||
\(729\) | −8.80126 | − | 25.5252i | −0.325973 | − | 0.945379i | ||||
\(730\) | −16.4047 | + | 8.98029i | −0.607164 | + | 0.332375i | ||||
\(731\) | −24.0128 | + | 21.6212i | −0.888145 | + | 0.799689i | ||||
\(732\) | 6.14281 | + | 4.43511i | 0.227045 | + | 0.163926i | ||||
\(733\) | −27.8461 | + | 2.92674i | −1.02852 | + | 0.108102i | −0.603728 | − | 0.797190i | \(-0.706319\pi\) |
−0.424790 | + | 0.905292i | \(0.639652\pi\) | |||||||
\(734\) | −25.5916 | − | 5.43966i | −0.944603 | − | 0.200782i | ||||
\(735\) | −22.3958 | − | 10.5062i | −0.826083 | − | 0.387527i | ||||
\(736\) | 4.03328 | − | 5.55134i | 0.148669 | − | 0.204625i | ||||
\(737\) | −2.18876 | + | 4.91602i | −0.0806238 | + | 0.181084i | ||||
\(738\) | 17.0562 | − | 15.5425i | 0.627846 | − | 0.572128i | ||||
\(739\) | 33.7575 | + | 19.4899i | 1.24179 | + | 0.716947i | 0.969458 | − | 0.245257i | \(-0.0788725\pi\) |
0.272330 | + | 0.962204i | \(0.412206\pi\) | |||||||
\(740\) | −11.1138 | − | 3.89260i | −0.408553 | − | 0.143095i | ||||
\(741\) | 7.57101 | − | 2.48494i | 0.278128 | − | 0.0912865i | ||||
\(742\) | −1.97007 | − | 6.06325i | −0.0723235 | − | 0.222589i | ||||
\(743\) | − | 33.1603i | − | 1.21653i | −0.793733 | − | 0.608266i | \(-0.791865\pi\) | ||
0.793733 | − | 0.608266i | \(-0.208135\pi\) | |||||||
\(744\) | 4.77597 | + | 8.37796i | 0.175095 | + | 0.307151i | ||||
\(745\) | 6.08564 | − | 4.21347i | 0.222961 | − | 0.154370i | ||||
\(746\) | −5.86547 | + | 1.90581i | −0.214750 | + | 0.0697765i | ||||
\(747\) | 9.19722 | + | 20.3303i | 0.336509 | + | 0.743847i | ||||
\(748\) | −8.18066 | − | 11.2597i | −0.299115 | − | 0.411696i | ||||
\(749\) | 5.23244 | + | 3.02095i | 0.191189 | + | 0.110383i | ||||
\(750\) | −14.8913 | − | 12.3794i | −0.543753 | − | 0.452032i | ||||
\(751\) | −23.8898 | − | 10.6364i | −0.871752 | − | 0.388129i | −0.0784213 | − | 0.996920i | \(-0.524988\pi\) |
−0.793330 | + | 0.608792i | \(0.791655\pi\) | |||||||
\(752\) | 7.31431 | + | 5.31416i | 0.266726 | + | 0.193787i | ||||
\(753\) | 2.92403 | − | 1.69983i | 0.106558 | − | 0.0619453i | ||||
\(754\) | 11.8915 | + | 2.52762i | 0.433063 | + | 0.0920503i | ||||
\(755\) | 19.1748 | + | 22.2949i | 0.697843 | + | 0.811394i | ||||
\(756\) | −3.73047 | − | 1.62110i | −0.135676 | − | 0.0589590i | ||||
\(757\) | 9.91663 | + | 11.0135i | 0.360426 | + | 0.400294i | 0.895898 | − | 0.444259i | \(-0.146533\pi\) |
−0.535472 | + | 0.844553i | \(0.679866\pi\) | |||||||
\(758\) | 2.67436 | − | 25.4448i | 0.0971370 | − | 0.924197i | ||||
\(759\) | −44.7803 | − | 9.37896i | −1.62542 | − | 0.340435i | ||||
\(760\) | −3.94973 | + | 1.18477i | −0.143272 | + | 0.0429763i | ||||
\(761\) | −2.76057 | + | 26.2651i | −0.100071 | + | 0.952110i | 0.823146 | + | 0.567830i | \(0.192217\pi\) |
−0.923217 | + | 0.384280i | \(0.874450\pi\) | |||||||
\(762\) | −22.1893 | − | 19.8599i | −0.803832 | − | 0.719447i | ||||
\(763\) | 1.41966 | + | 1.27827i | 0.0513953 | + | 0.0462765i | ||||
\(764\) | 11.3103 | − | 1.18876i | 0.409192 | − | 0.0430078i | ||||
\(765\) | 19.8575 | − | 13.9244i | 0.717951 | − | 0.503440i | ||||
\(766\) | −0.467907 | − | 1.05094i | −0.0169062 | − | 0.0379719i | ||||
\(767\) | 7.02450 | − | 9.66839i | 0.253640 | − | 0.349106i | ||||
\(768\) | 1.64887 | + | 0.530322i | 0.0594983 | + | 0.0191363i | ||||
\(769\) | −21.5871 | − | 37.3900i | −0.778451 | − | 1.34832i | −0.932834 | − | 0.360306i | \(-0.882672\pi\) |
0.154383 | − | 0.988011i | \(-0.450661\pi\) | |||||||
\(770\) | 0.551793 | + | 6.71547i | 0.0198853 | + | 0.242009i | ||||
\(771\) | −24.4521 | + | 22.1491i | −0.880621 | + | 0.797680i | ||||
\(772\) | 1.10294 | + | 5.18892i | 0.0396957 | + | 0.186753i | ||||
\(773\) | −1.21802 | + | 0.395759i | −0.0438092 | + | 0.0142345i | −0.330840 | − | 0.943687i | \(-0.607332\pi\) |
0.287030 | + | 0.957921i | \(0.407332\pi\) | |||||||
\(774\) | −26.1924 | + | 5.73075i | −0.941468 | + | 0.205988i | ||||
\(775\) | 23.3237 | + | 15.1989i | 0.837812 | + | 0.545959i | ||||
\(776\) | 1.72010i | 0.0617481i | ||||||||
\(777\) | −6.51420 | + | 2.92360i | −0.233696 | + | 0.104884i | ||||
\(778\) | −22.1130 | + | 4.70026i | −0.792788 | + | 0.168512i | ||||
\(779\) | −8.33761 | − | 11.4757i | −0.298726 | − | 0.411161i | ||||
\(780\) | −9.48862 | + | 1.82173i | −0.339747 | + | 0.0652286i | ||||
\(781\) | 22.9728 | − | 13.2633i | 0.822031 | − | 0.474600i | ||||
\(782\) | 22.6637 | + | 10.0905i | 0.810452 | + | 0.360837i | ||||
\(783\) | −24.1516 | − | 7.60928i | −0.863106 | − | 0.271933i | ||||
\(784\) | 5.83504 | − | 2.59793i | 0.208394 | − | 0.0927831i | ||||
\(785\) | −45.7576 | + | 19.1383i | −1.63316 | + | 0.683075i | ||||
\(786\) | −11.6785 | + | 2.51874i | −0.416558 | + | 0.0898406i | ||||
\(787\) | −24.1316 | + | 26.8009i | −0.860199 | + | 0.955348i | −0.999390 | − | 0.0349176i | \(-0.988883\pi\) |
0.139191 | + | 0.990266i | \(0.455550\pi\) | |||||||
\(788\) | 14.6203 | − | 13.1642i | 0.520827 | − | 0.468954i | ||||
\(789\) | −1.54782 | + | 0.00461279i | −0.0551037 | + | 0.000164220i | ||||
\(790\) | −9.38015 | − | 31.2710i | −0.333731 | − | 1.11257i | ||||
\(791\) | −0.291415 | − | 0.0946864i | −0.0103615 | − | 0.00336666i | ||||
\(792\) | −1.27560 | − | 11.4780i | −0.0453263 | − | 0.407852i | ||||
\(793\) | 8.10967 | − | 7.30198i | 0.287983 | − | 0.259301i | ||||
\(794\) | −0.816461 | − | 0.735145i | −0.0289751 | − | 0.0260893i | ||||
\(795\) | 23.0194 | + | 21.5653i | 0.816415 | + | 0.764842i | ||||
\(796\) | 1.77485 | − | 8.35000i | 0.0629078 | − | 0.295958i | ||||
\(797\) | 1.08225 | + | 2.43076i | 0.0383351 | + | 0.0861020i | 0.931698 | − | 0.363234i | \(-0.118327\pi\) |
−0.893363 | + | 0.449336i | \(0.851661\pi\) | |||||||
\(798\) | −1.24370 | + | 2.16906i | −0.0440265 | + | 0.0767837i | ||||
\(799\) | −13.2951 | + | 29.8612i | −0.470345 | + | 1.05641i | ||||
\(800\) | 4.93294 | − | 0.816165i | 0.174406 | − | 0.0288558i | ||||
\(801\) | 11.2408 | − | 35.3103i | 0.397174 | − | 1.24763i | ||||
\(802\) | 12.6060 | − | 9.15877i | 0.445132 | − | 0.323407i | ||||
\(803\) | −31.4929 | + | 6.69402i | −1.11136 | + | 0.236227i | ||||
\(804\) | 2.20896 | − | 0.991389i | 0.0779039 | − | 0.0349636i | ||||
\(805\) | −6.83698 | − | 9.87484i | −0.240972 | − | 0.348042i | ||||
\(806\) | 13.2459 | − | 4.18027i | 0.466567 | − | 0.147244i | ||||
\(807\) | −36.6314 | + | 3.96052i | −1.28948 | + | 0.139417i | ||||
\(808\) | −15.5042 | + | 5.03763i | −0.545436 | + | 0.177223i | ||||
\(809\) | 49.3593 | − | 10.4916i | 1.73538 | − | 0.368866i | 0.771712 | − | 0.635972i | \(-0.219400\pi\) |
0.963667 | + | 0.267105i | \(0.0860672\pi\) | |||||||
\(810\) | 20.0359 | − | 1.88701i | 0.703991 | − | 0.0663027i | ||||
\(811\) | 20.6104 | − | 35.6983i | 0.723729 | − | 1.25354i | −0.235766 | − | 0.971810i | \(-0.575760\pi\) |
0.959495 | − | 0.281725i | \(-0.0909067\pi\) | |||||||
\(812\) | −3.30361 | + | 1.90734i | −0.115934 | + | 0.0669344i | ||||
\(813\) | 3.90114 | − | 12.1293i | 0.136819 | − | 0.425395i | ||||
\(814\) | −16.4011 | − | 11.9161i | −0.574858 | − | 0.417659i | ||||
\(815\) | 25.0599 | − | 41.2119i | 0.877810 | − | 1.44359i | ||||
\(816\) | −0.636007 | + | 6.22974i | −0.0222647 | + | 0.218084i | ||||
\(817\) | 1.72280 | + | 16.3913i | 0.0602731 | + | 0.573460i | ||||
\(818\) | 15.4038 | + | 13.8696i | 0.538580 | + | 0.484940i | ||||
\(819\) | −3.41520 | + | 4.76002i | −0.119337 | + | 0.166329i | ||||
\(820\) | 8.25890 | + | 15.0869i | 0.288413 | + | 0.526857i | ||||
\(821\) | −1.45987 | + | 4.49303i | −0.0509500 | + | 0.156808i | −0.973294 | − | 0.229561i | \(-0.926271\pi\) |
0.922344 | + | 0.386369i | \(0.126271\pi\) | |||||||
\(822\) | −22.4014 | − | 4.69183i | −0.781339 | − | 0.163646i | ||||
\(823\) | 5.19092 | − | 49.3883i | 0.180944 | − | 1.72157i | −0.407649 | − | 0.913139i | \(-0.633651\pi\) |
0.588593 | − | 0.808429i | \(-0.299682\pi\) | |||||||
\(824\) | 1.32275 | − | 1.19101i | 0.0460802 | − | 0.0414908i | ||||
\(825\) | −18.4322 | − | 27.7791i | −0.641726 | − | 0.967144i | ||||
\(826\) | 0.391973 | + | 3.72938i | 0.0136385 | + | 0.129762i | ||||
\(827\) | 8.14966 | − | 38.3412i | 0.283392 | − | 1.33325i | −0.574113 | − | 0.818776i | \(-0.694653\pi\) |
0.857505 | − | 0.514476i | \(-0.172014\pi\) | |||||||
\(828\) | 12.1989 | + | 16.5816i | 0.423941 | + | 0.576250i | ||||
\(829\) | −26.2787 | + | 36.1696i | −0.912698 | + | 1.25622i | 0.0535388 | + | 0.998566i | \(0.482950\pi\) |
−0.966237 | + | 0.257655i | \(0.917050\pi\) | |||||||
\(830\) | −16.3428 | + | 3.08720i | −0.567266 | + | 0.107158i | ||||
\(831\) | −14.0180 | − | 19.1736i | −0.486278 | − | 0.665127i | ||||
\(832\) | 1.24735 | − | 2.16047i | 0.0432440 | − | 0.0749009i | ||||
\(833\) | 13.5735 | + | 18.6824i | 0.470295 | + | 0.647306i | ||||
\(834\) | −6.63427 | − | 20.2130i | −0.229726 | − | 0.699919i | ||||
\(835\) | 10.4720 | + | 7.97832i | 0.362399 | + | 0.276101i | ||||
\(836\) | −7.09906 | −0.245526 | ||||||||
\(837\) | −28.2959 | + | 6.02861i | −0.978048 | + | 0.208379i | ||||
\(838\) | − | 0.572876i | − | 0.0197897i | ||||||
\(839\) | 22.0197 | − | 7.15464i | 0.760205 | − | 0.247006i | 0.0968386 | − | 0.995300i | \(-0.469127\pi\) |
0.663367 | + | 0.748294i | \(0.269127\pi\) | |||||||
\(840\) | 1.83010 | − | 2.41703i | 0.0631446 | − | 0.0833954i | ||||
\(841\) | 4.24888 | − | 3.08699i | 0.146513 | − | 0.106448i | ||||
\(842\) | −19.7806 | + | 34.2611i | −0.681686 | + | 1.18071i | ||||
\(843\) | 24.8701 | − | 18.1826i | 0.856571 | − | 0.626244i | ||||
\(844\) | 21.3543 | + | 9.50756i | 0.735046 | + | 0.327264i | ||||
\(845\) | 0.344488 | − | 15.1488i | 0.0118507 | − | 0.521134i | ||||
\(846\) | −21.8475 | + | 16.0730i | −0.751134 | + | 0.552601i | ||||
\(847\) | −0.621540 | + | 2.92412i | −0.0213564 | + | 0.100474i | ||||
\(848\) | −8.09973 | + | 0.851316i | −0.278146 | + | 0.0292343i | ||||
\(849\) | −0.197876 | − | 0.142866i | −0.00679109 | − | 0.00490316i | ||||
\(850\) | 6.59436 | + | 16.8315i | 0.226185 | + | 0.577315i | ||||
\(851\) | 35.9385 | + | 3.77729i | 1.23196 | + | 0.129484i | ||||
\(852\) | −11.6819 | − | 2.44669i | −0.400214 | − | 0.0838223i | ||||
\(853\) | 35.9515 | + | 11.6813i | 1.23096 | + | 0.399962i | 0.851060 | − | 0.525068i | \(-0.175960\pi\) |
0.379895 | + | 0.925030i | \(0.375960\pi\) | |||||||
\(854\) | −0.357923 | + | 3.40541i | −0.0122479 | + | 0.116531i | ||||
\(855\) | 0.207523 | − | 12.3691i | 0.00709714 | − | 0.423013i | ||||
\(856\) | 5.16466 | − | 5.73593i | 0.176524 | − | 0.196050i | ||||
\(857\) | 4.47897 | + | 42.6145i | 0.152999 | + | 1.45568i | 0.754230 | + | 0.656610i | \(0.228010\pi\) |
−0.601232 | + | 0.799075i | \(0.705323\pi\) | |||||||
\(858\) | −16.5476 | − | 1.68938i | −0.564927 | − | 0.0576746i | ||||
\(859\) | −10.5701 | − | 23.7408i | −0.360647 | − | 0.810025i | −0.999182 | − | 0.0404332i | \(-0.987126\pi\) |
0.638536 | − | 0.769592i | \(-0.279540\pi\) | |||||||
\(860\) | 0.454336 | − | 19.9793i | 0.0154927 | − | 0.681290i | ||||
\(861\) | 9.92795 | + | 3.19311i | 0.338344 | + | 0.108821i | ||||
\(862\) | 21.5628 | − | 12.4493i | 0.734432 | − | 0.424025i | ||||
\(863\) | −27.6159 | − | 15.9441i | −0.940057 | − | 0.542742i | −0.0500789 | − | 0.998745i | \(-0.515947\pi\) |
−0.889978 | + | 0.456003i | \(0.849281\pi\) | |||||||
\(864\) | −3.01652 | + | 4.23091i | −0.102624 | + | 0.143939i | ||||
\(865\) | −31.6192 | − | 29.7992i | −1.07508 | − | 1.01320i | ||||
\(866\) | 0.0207225 | + | 0.0637774i | 0.000704181 | + | 0.00216725i | ||||
\(867\) | 6.76515 | − | 0.731436i | 0.229756 | − | 0.0248409i | ||||
\(868\) | −2.21105 | + | 3.75588i | −0.0750478 | + | 0.127483i | ||||
\(869\) | − | 56.2050i | − | 1.90662i | ||||||
\(870\) | 9.75797 | − | 16.1556i | 0.330826 | − | 0.547726i | ||||
\(871\) | −0.725056 | − | 3.41112i | −0.0245676 | − | 0.115581i | ||||
\(872\) | 1.97436 | − | 1.43446i | 0.0668603 | − | 0.0485769i | ||||
\(873\) | −4.91716 | − | 1.56534i | −0.166421 | − | 0.0529788i | ||||
\(874\) | 10.9588 | − | 6.32705i | 0.370686 | − | 0.214016i | ||||
\(875\) | 1.50591 | − | 8.62128i | 0.0509091 | − | 0.291453i | ||||
\(876\) | 12.5671 | + | 7.20577i | 0.424603 | + | 0.243460i | ||||
\(877\) | −16.7766 | − | 37.6809i | −0.566506 | − | 1.27239i | −0.938859 | − | 0.344302i | \(-0.888116\pi\) |
0.372353 | − | 0.928091i | \(-0.378551\pi\) | |||||||
\(878\) | −8.73219 | − | 1.85609i | −0.294697 | − | 0.0626398i | ||||
\(879\) | −3.83786 | − | 17.7948i | −0.129448 | − | 0.600204i | ||||
\(880\) | 8.53802 | + | 1.09415i | 0.287816 | + | 0.0368839i | ||||
\(881\) | 37.1411 | + | 41.2494i | 1.25132 | + | 1.38973i | 0.889151 | + | 0.457614i | \(0.151296\pi\) |
0.362166 | + | 0.932114i | \(0.382037\pi\) | |||||||
\(882\) | 2.11650 | + | 19.0445i | 0.0712661 | + | 0.641261i | ||||
\(883\) | 7.28052 | − | 22.4071i | 0.245009 | − | 0.754060i | −0.750626 | − | 0.660727i | \(-0.770248\pi\) |
0.995635 | − | 0.0933328i | \(-0.0297521\pi\) | |||||||
\(884\) | 8.57798 | + | 2.78715i | 0.288509 | + | 0.0937421i | ||||
\(885\) | −10.6068 | − | 15.2226i | −0.356543 | − | 0.511701i | ||||
\(886\) | 5.42118 | + | 6.02084i | 0.182128 | + | 0.202274i | ||||
\(887\) | −23.3701 | + | 25.9551i | −0.784690 | + | 0.871486i | −0.994335 | − | 0.106291i | \(-0.966102\pi\) |
0.209645 | + | 0.977778i | \(0.432769\pi\) | |||||||
\(888\) | 1.92305 | + | 8.91649i | 0.0645333 | + | 0.299218i | ||||
\(889\) | 2.79814 | − | 13.1642i | 0.0938465 | − | 0.441513i | ||||
\(890\) | 23.5996 | + | 14.3503i | 0.791062 | + | 0.481024i | ||||
\(891\) | 33.9722 | + | 6.79880i | 1.13811 | + | 0.227768i | ||||
\(892\) | 12.1189 | + | 5.39569i | 0.405772 | + | 0.180661i | ||||
\(893\) | 8.33638 | + | 14.4390i | 0.278966 | + | 0.483184i | ||||
\(894\) | −5.24474 | − | 2.31640i | −0.175410 | − | 0.0774721i | ||||
\(895\) | −39.2350 | − | 13.7420i | −1.31148 | − | 0.459344i | ||||
\(896\) | 0.162750 | + | 0.765680i | 0.00543711 | + | 0.0255796i | ||||
\(897\) | 27.0502 | − | 12.1402i | 0.903179 | − | 0.405351i | ||||
\(898\) | 10.5385 | 0.351674 | ||||||||
\(899\) | −11.2453 | + | 24.6928i | −0.375051 | + | 0.823551i | ||||
\(900\) | −2.15599 | + | 14.8442i | −0.0718663 | + | 0.494808i | ||||
\(901\) | −9.09911 | − | 28.0042i | −0.303135 | − | 0.932955i | ||||
\(902\) | 6.15629 | + | 28.9631i | 0.204982 | + | 0.964365i | ||||
\(903\) | −8.13498 | − | 8.98084i | −0.270715 | − | 0.298864i | ||||
\(904\) | −0.195719 | + | 0.338995i | −0.00650951 | + | 0.0112748i | ||||
\(905\) | −36.5740 | − | 17.2906i | −1.21576 | − | 0.574758i | ||||
\(906\) | 6.97422 | − | 21.6841i | 0.231703 | − | 0.720407i | ||||
\(907\) | −3.89277 | + | 5.35793i | −0.129257 | + | 0.177907i | −0.868740 | − | 0.495268i | \(-0.835070\pi\) |
0.739483 | + | 0.673175i | \(0.235070\pi\) | |||||||
\(908\) | −15.6552 | + | 6.97016i | −0.519537 | + | 0.231313i | ||||
\(909\) | −0.291497 | − | 48.9054i | −0.00966836 | − | 1.62209i | ||||
\(910\) | −2.84731 | − | 3.31062i | −0.0943875 | − | 0.109746i | ||||
\(911\) | −31.9866 | + | 35.5247i | −1.05976 | + | 1.17699i | −0.0760742 | + | 0.997102i | \(0.524239\pi\) |
−0.983688 | + | 0.179883i | \(0.942428\pi\) | |||||||
\(912\) | 2.38006 | + | 2.13020i | 0.0788116 | + | 0.0705381i | ||||
\(913\) | −28.4759 | − | 2.99294i | −0.942415 | − | 0.0990518i | ||||
\(914\) | 0.968749 | − | 2.98150i | 0.0320434 | − | 0.0986193i | ||||
\(915\) | −6.58372 | − | 15.6101i | −0.217651 | − | 0.516055i | ||||
\(916\) | 9.73822 | + | 1.02353i | 0.321760 | + | 0.0338183i | ||||
\(917\) | −3.61288 | − | 4.01251i | −0.119308 | − | 0.132505i | ||||
\(918\) | −17.2298 | − | 7.48736i | −0.568669 | − | 0.247120i | ||||
\(919\) | −3.01896 | − | 28.7235i | −0.0995863 | − | 0.947500i | −0.924227 | − | 0.381843i | \(-0.875289\pi\) |
0.824641 | − | 0.565657i | \(-0.191377\pi\) | |||||||
\(920\) | −14.1553 | + | 5.92049i | −0.466685 | + | 0.195193i | ||||
\(921\) | 21.3373 | + | 36.7042i | 0.703088 | + | 1.20945i | ||||
\(922\) | 9.76449 | + | 7.09432i | 0.321576 | + | 0.233639i | ||||
\(923\) | −6.99206 | + | 15.7044i | −0.230146 | + | 0.516917i | ||||
\(924\) | 4.21335 | − | 3.08040i | 0.138609 | − | 0.101338i | ||||
\(925\) | 16.7115 | + | 20.3488i | 0.549471 | + | 0.669065i | ||||
\(926\) | 25.7813 | − | 18.7312i | 0.847227 | − | 0.615547i | ||||
\(927\) | 2.20093 | + | 4.86513i | 0.0722881 | + | 0.159792i | ||||
\(928\) | 1.50590 | + | 4.63469i | 0.0494337 | + | 0.152141i | ||||
\(929\) | −47.4534 | −1.55690 | −0.778448 | − | 0.627709i | \(-0.783993\pi\) | ||||
−0.778448 | + | 0.627709i | \(0.783993\pi\) | |||||||
\(930\) | 0.608420 | − | 21.5553i | 0.0199509 | − | 0.706825i | ||||
\(931\) | 11.7789 | 0.386038 | ||||||||
\(932\) | −0.697933 | − | 2.14802i | −0.0228616 | − | 0.0703606i | ||||
\(933\) | 8.34009 | + | 25.4102i | 0.273042 | + | 0.831894i | ||||
\(934\) | −21.3949 | + | 15.5443i | −0.700062 | + | 0.508625i | ||||
\(935\) | 2.54855 | + | 31.0166i | 0.0833467 | + | 1.01435i | ||||
\(936\) | 5.04090 | + | 5.53182i | 0.164767 | + | 0.180813i | ||||
\(937\) | 21.0658 | − | 47.3147i | 0.688191 | − | 1.54570i | −0.143004 | − | 0.989722i | \(-0.545676\pi\) |
0.831195 | − | 0.555981i | \(-0.187657\pi\) | |||||||
\(938\) | 0.885270 | + | 0.643186i | 0.0289051 | + | 0.0210008i | ||||
\(939\) | 4.80546 | − | 2.79356i | 0.156820 | − | 0.0911644i | ||||
\(940\) | −7.80070 | − | 18.6506i | −0.254431 | − | 0.608317i | ||||
\(941\) | 2.46551 | + | 23.4577i | 0.0803732 | + | 0.764700i | 0.958273 | + | 0.285855i | \(0.0922776\pi\) |
−0.877900 | + | 0.478845i | \(0.841056\pi\) | |||||||
\(942\) | 31.1488 | + | 22.4894i | 1.01488 | + | 0.732744i | ||||
\(943\) | −35.3169 | − | 39.2233i | −1.15008 | − | 1.27729i | ||||
\(944\) | 4.76424 | + | 0.500741i | 0.155063 | + | 0.0162977i | ||||
\(945\) | 5.24398 | + | 7.43118i | 0.170587 | + | 0.241736i | ||||
\(946\) | 10.6316 | − | 32.7208i | 0.345664 | − | 1.06385i | ||||
\(947\) | 28.9661 | + | 3.04446i | 0.941271 | + | 0.0989316i | 0.562719 | − | 0.826648i | \(-0.309755\pi\) |
0.378552 | + | 0.925580i | \(0.376422\pi\) | |||||||
\(948\) | −16.8654 | + | 18.8435i | −0.547761 | + | 0.612009i | ||||
\(949\) | 13.9614 | − | 15.5057i | 0.453205 | − | 0.503335i | ||||
\(950\) | 8.92269 | + | 2.32508i | 0.289490 | + | 0.0754357i | ||||
\(951\) | 39.4030 | + | 4.02273i | 1.27773 | + | 0.130446i | ||||
\(952\) | −2.58544 | + | 1.15111i | −0.0837945 | + | 0.0373077i | ||||
\(953\) | −6.72177 | + | 9.25172i | −0.217739 | + | 0.299693i | −0.903888 | − | 0.427769i | \(-0.859300\pi\) |
0.686149 | + | 0.727461i | \(0.259300\pi\) | |||||||
\(954\) | 4.93738 | − | 23.9290i | 0.159853 | − | 0.774729i | ||||
\(955\) | −22.9902 | − | 10.8687i | −0.743945 | − | 0.351704i | ||||
\(956\) | 3.06567 | − | 5.30990i | 0.0991509 | − | 0.171734i | ||||
\(957\) | 24.0818 | − | 21.8136i | 0.778454 | − | 0.705135i | ||||
\(958\) | −6.13390 | − | 28.8577i | −0.198177 | − | 0.932351i | ||||
\(959\) | −3.19641 | − | 9.83754i | −0.103218 | − | 0.317671i | ||||
\(960\) | −2.53417 | − | 2.92882i | −0.0817899 | − | 0.0945273i | ||||
\(961\) | 2.71815 | + | 30.8806i | 0.0876823 | + | 0.996148i | ||||
\(962\) | 13.1378 | 0.423581 | ||||||||
\(963\) | 11.6970 | + | 19.9838i | 0.376931 | + | 0.643968i | ||||
\(964\) | −4.25584 | − | 20.0222i | −0.137071 | − | 0.644871i | ||||
\(965\) | 3.92109 | − | 11.1952i | 0.126224 | − | 0.360386i | ||||
\(966\) | −3.75871 | + | 8.51036i | −0.120934 | + | 0.273816i | ||||
\(967\) | −12.4673 | − | 21.5940i | −0.400921 | − | 0.694416i | 0.592916 | − | 0.805264i | \(-0.297976\pi\) |
−0.993837 | + | 0.110849i | \(0.964643\pi\) | |||||||
\(968\) | 3.48881 | + | 1.55332i | 0.112135 | + | 0.0499255i | ||||
\(969\) | −5.74425 | + | 10.0182i | −0.184532 | + | 0.321830i | ||||
\(970\) | 1.99836 | − | 3.28638i | 0.0641636 | − | 0.105519i | ||||
\(971\) | −8.94143 | + | 42.0661i | −0.286944 | + | 1.34997i | 0.564462 | + | 0.825459i | \(0.309084\pi\) |
−0.851406 | + | 0.524507i | \(0.824250\pi\) | |||||||
\(972\) | −9.34956 | − | 12.4734i | −0.299887 | − | 0.400084i | ||||
\(973\) | 6.43340 | − | 7.14502i | 0.206245 | − | 0.229059i | ||||
\(974\) | −15.2455 | − | 16.9318i | −0.488497 | − | 0.542531i | ||||
\(975\) | 20.2451 | + | 7.54304i | 0.648364 | + | 0.241571i | ||||
\(976\) | 4.16024 | + | 1.35174i | 0.133166 | + | 0.0432682i | ||||
\(977\) | 9.32407 | − | 28.6965i | 0.298303 | − | 0.918083i | −0.683788 | − | 0.729680i | \(-0.739669\pi\) |
0.982092 | − | 0.188403i | \(-0.0603311\pi\) | |||||||
\(978\) | −37.3609 | + | 0.111343i | −1.19467 | + | 0.00356035i | ||||
\(979\) | 31.8172 | + | 35.3366i | 1.01688 | + | 1.12936i | ||||
\(980\) | −14.1665 | − | 1.81544i | −0.452531 | − | 0.0579922i | ||||
\(981\) | 2.30388 | + | 6.94940i | 0.0735572 | + | 0.221877i | ||||
\(982\) | 8.46919 | + | 1.80018i | 0.270263 | + | 0.0574461i | ||||
\(983\) | −13.7310 | − | 30.8402i | −0.437950 | − | 0.983651i | −0.988827 | − | 0.149065i | \(-0.952374\pi\) |
0.550878 | − | 0.834586i | \(-0.314293\pi\) | |||||||
\(984\) | 6.62693 | − | 11.5576i | 0.211259 | − | 0.368442i | ||||
\(985\) | −43.2269 | + | 8.16570i | −1.37732 | + | 0.260181i | ||||
\(986\) | −15.2583 | + | 8.80937i | −0.485923 | + | 0.280548i | ||||
\(987\) | −11.2131 | − | 4.95238i | −0.356915 | − | 0.157636i | ||||
\(988\) | 3.72192 | − | 2.70413i | 0.118410 | − | 0.0860299i | ||||
\(989\) | 12.7505 | + | 59.9864i | 0.405442 | + | 1.90746i | ||||
\(990\) | −10.8976 | + | 23.4114i | −0.346350 | + | 0.744064i | ||||
\(991\) | − | 27.1870i | − | 0.863622i | −0.901964 | − | 0.431811i | \(-0.857875\pi\) | ||
0.901964 | − | 0.431811i | \(-0.142125\pi\) | |||||||
\(992\) | 4.10598 | + | 3.76044i | 0.130365 | + | 0.119394i | ||||
\(993\) | 5.73205 | + | 53.0165i | 0.181901 | + | 1.68243i | ||||
\(994\) | −1.66686 | − | 5.13007i | −0.0528696 | − | 0.162716i | ||||
\(995\) | −13.0918 | + | 13.8913i | −0.415037 | + | 0.440385i | ||||
\(996\) | 8.64886 | + | 9.54815i | 0.274050 | + | 0.302545i | ||||
\(997\) | 36.2786 | + | 20.9455i | 1.14896 | + | 0.663350i | 0.948633 | − | 0.316380i | \(-0.102467\pi\) |
0.200323 | + | 0.979730i | \(0.435801\pi\) | |||||||
\(998\) | 6.30308 | − | 3.63908i | 0.199520 | − | 0.115193i | ||||
\(999\) | −27.2391 | − | 2.61695i | −0.861807 | − | 0.0827965i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.bo.a.179.4 | ✓ | 256 | |
3.2 | odd | 2 | 930.2.bo.b.179.1 | yes | 256 | ||
5.4 | even | 2 | 930.2.bo.b.179.29 | yes | 256 | ||
15.14 | odd | 2 | inner | 930.2.bo.a.179.32 | yes | 256 | |
31.22 | odd | 30 | inner | 930.2.bo.a.239.32 | yes | 256 | |
93.53 | even | 30 | 930.2.bo.b.239.29 | yes | 256 | ||
155.84 | odd | 30 | 930.2.bo.b.239.1 | yes | 256 | ||
465.239 | even | 30 | inner | 930.2.bo.a.239.4 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bo.a.179.4 | ✓ | 256 | 1.1 | even | 1 | trivial | |
930.2.bo.a.179.32 | yes | 256 | 15.14 | odd | 2 | inner | |
930.2.bo.a.239.4 | yes | 256 | 465.239 | even | 30 | inner | |
930.2.bo.a.239.32 | yes | 256 | 31.22 | odd | 30 | inner | |
930.2.bo.b.179.1 | yes | 256 | 3.2 | odd | 2 | ||
930.2.bo.b.179.29 | yes | 256 | 5.4 | even | 2 | ||
930.2.bo.b.239.1 | yes | 256 | 155.84 | odd | 30 | ||
930.2.bo.b.239.29 | yes | 256 | 93.53 | even | 30 |